Redux: Difference between revisions

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'''Redux''', also known as Damage Reduction, is the ability of a character to resist damage as a result of physical training, resulting in less health loss as well as reducing or negating the severity of a wound. This is not to be confused with [[Defensive Strength]] (DS), which reduces the endroll in the combat formula. Redux does not activate until the character is successfully hit, when it will reduce the damage correspondingly.
{{work-in-progress}}

'''Redux''', also known as Total Damage Reduction, is the ability of a character to resist physical damage more effectively, resulting in less health loss, as well as reducing or even negating what should have inflicted a wound. This is not to be confused with [[Defensive Strength]] (DS), which reduces the endroll in the combat formula. Redux does not come into play until the character is successfully hit by an [[Attack strength|AS]]-based attack, at which point it will then reduce the ensuing damage correspondingly.
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<small>''The following is a [http://forum.gsplayers.com/showthread.php?104295-Redux-Formula player-generated theory].''</small>
==Redux Points==
Redux is initially achieved by training in physical [[skill]]s, and the total reduction is increased by additional training in these skills. Some skills provide more redux benefit than others, and are divided into primary, secondary, and tertiary skills. Primary skills provide 10 "points" towards redux, secondary skills provide 4 points, and tertiary provide 3 points.


The threshold for achieving redux is approximately <math>\mathrm{1060 + \frac{2000}{level}}</math> redux points. For example, a level 27 character with 1134 redux points did not have sufficient points to gain redux but did with 1135 points <math>\mathrm{1060 + \frac{2000}{27}}</math>.


=Redux Terms Used=
Characters will receive the following message when checking out of a local inn indicating that they do not have redux. If this message is not displayed then the character does have redux.
RP: Redux Points: These are obtained from training in physical [[skill]]s for your character. Each physical skill grants a specific quantity of points that are used in subsequent calculations.

Spell Penalty Tier: Spell Penalties are bucketed as a function of your individual spell research training relative to your level. Each tier applies a level of penalty against your current Redux quantity.


Spell Penalty: A function of the Spell Penalty Tier, the actual amount of reduction of Redux.
<pre{{log2}}>
Current skills bonus is insufficient to gain DF reduction.
</pre>



===Primary Skill: 10 points per rank===
==Redux Factors==
Redux is achieved by training in physical [[skill]]s, and are divided into primary, secondary, and tertiary skills. Primary skills provide 50 points towards redux, secondary skills provide 20 points, and tertiary provide 15 points. There is also a level based penalty associated with this function that decreases as you level.

===Primary Skill: 50 points per rank===
* [[Physical Fitness]]
* [[Physical Fitness]]


===Secondary Skills: 4 points per rank===
===Secondary Skills: 20 points per rank===
* [[Ambush]]
* [[Ambush]]
* [[Armor Use]]
* [[Armor Use]]
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* [[Two Weapon Combat]]
* [[Two Weapon Combat]]


===Tertiary Skills: 3 points per rank===
===Tertiary Skills: 15 points per rank===
* [[Edged Weapons|One-Handed Edged Weapon Training]]
* [[Edged Weapons|One-Handed Edged Weapon Training]]
* [[Blunt Weapons|One-Handed Blunt Weapon Training]]
* [[Blunt Weapons|One-Handed Blunt Weapon Training]]
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* [[Two-Handed Weapons|Two-Handed Weapon Training]]
* [[Two-Handed Weapons|Two-Handed Weapon Training]]


==Redux Factor==
There are three elements that determine a character's redux factor:
#Redux Points
#Character Level (RF increases with higher level)
#Spell Ranks (RF decreases when spell ranks known increases)


==Redux Points==
Two methods of calculating the redux factor are shown below. The first one uses redux points while the second uses the quadratic formula in standard form. The first formula will generally be more accurate.
{{equation box|{{math|1=RP = ((Primary * 50) + ((Secondary - TRUNC(550 / (level + 1))) * 20) + (Tertiary * 15)) / 20}}}}


===Diminished Returns===
===Redux Factor Formula (Points)===


After 35% Redux (880 points after taking into account the level based penalty), the values have diminished returns applied to them:
It must be stated that this formula is incomplete but should still have an accuracy of +99%.
{{equation box|{{math|1=IF RP>880 Then RP = 880 + MAX(0,TRUNC((RP-880)/3))}}}}


==Redux Floor==
{{equation box|<math>\mathrm{Redux Factor=\frac{(Redux Points - T)}{(2 * Redux Points) - X + Y}}</math>}}


{{equation box|{{math|1=RP > 264}}}}
'''Important note''': The {{mono|Y}} value only applies when redux points are {{mono|>3600}}


A RP value of 264 is required before Redux will take effect. This has been greatly simplified from a variety of up and downstream equations.
:<math>\mathrm{T = 1060 + \frac{2000}{level}}</math> This is the redux threshold
:<math>\mathrm{X = \frac{4472}{level}}</math>
:<math>\mathrm{Y = (60 * \sqrt{redux points}) - 3600}</math> (only use when redux points are {{mono|>3600}})


The <math>\mathrm{X}</math> value <math>\mathrm{4472}</math> is derived from <math>\mathrm{\sqrt{2000} * 100}</math>


==Calculating Redux from RP==
====Examples (all examples assume 0 spell ranks)====
{{equation box|{{math|1= Redux = (1 - 264/RP)/2 }}}}
1. Level 66 w/3000 redux points


==Spell Penalties==
:Numerator (RP - T): <math>\mathrm{3000 - (1060 + \frac{2000}{66}) = 1909}</math>
Spell penalties adjust your Redux by multiplying your effective Redux by a spell penalty value based on your spell research training and your level. There are specific spell research training thresholds when the spell penalties increase, and each increase in threshold has a unique additional penalty associated with it. The specific thresholds and penalties are outlined below.
:Denominator (2RP - X): <math>\mathrm{6000 - \frac{4472}{66} = 5932}</math>
:Redux Factor (Num/Den): <math>\mathrm{\frac{1909}{5932} = .3218138}</math>


2. Level 38 w/1700 redux points


===Redux Spell Penalty Tables===
:Numerator: <math>\mathrm{1700 - (1060 + \frac{2000}{38}) = 587}</math>
:Denominator: <math>\mathrm{3400 - \frac{4472}{38} = 3282}</math>
:Redux Factor: <math>\mathrm{\frac{587}{3282} = .1788543}</math>


The following tables contain a complete list of the redux spell penalty percentages for characters level 30 to 100. The penalties are located at the intersection of a character's level (top row) and total spell ranks known (left column). A cell entry of 0 indicates that there is no penalty for that spell rank. Example, L96 with knowledge of 4 total spells has no redux penalty. but will have a 6% penalty upon learning the 5th rank. Conversely, a cell entry of 100% signifies that the character has no redux. Example, a L100 character with 197 spell ranks.
3. Level 74 w/4250 redux points


====Levels 30 to 49====
:Numerator: <math>\mathrm{4250 - (1060 + \frac{2000}{74} = 3163}</math>
:Denominator (2RP + Y): <math>\mathrm{8500 + (60 * \sqrt{4250}) - 3600 = (8500 + 3912 - 3600) = 8812}</math>
:Redux Factor: <math>\mathrm{\frac{3163}{8812} = .358942}</math>


{|role="presentation" class="wikitable mw-collapsible mw-collapsed" style="text-align: center;"
4. Level 100 w/12000 redux points
|-
|-style = "background: DDD; color: blue"
! Spell<br>&darr;<span style="font-size:88%">Ranks </span> || L30 || L31 || L32 || L33 || L34 || L35 || L36 || L37 || L38 || L39 || L40 || L41 || L42 || L43 || L44 || L45 || L46 || L47 || L48 || L49 ||
|-
| '''1''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''2''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''3''' || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''4''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6%
|-
| '''5''' || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''6''' || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''7''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''8''' || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''9''' || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''10''' || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''11''' || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''12''' || 23% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''13''' || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''14''' || 25% || 25% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18%
|-
| '''15''' || 26% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''16''' || 26% || 26% || 26% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20%
|-
| '''17''' || 27% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''18''' || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22%
|-
| '''19''' || 29% || 29% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''20''' || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23%
|-
| '''21''' || 30% || 30% || 30% || 29% || 29% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''22''' || 32% || 32% || 30% || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25%
|-
| '''23''' || 33% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''24''' || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 25%
|-
| '''25''' || 35% || 33% || 33% || 33% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''26''' || 36% || 35% || 35% || 33% || 33% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 26% || 26%
|-
| '''27''' || 36% || 36% || 35% || 35% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''28''' || 38% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 27% || 27% || 27%
|-
| '''29''' || 39% || 38% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 27%
|-
|-style = "background:#eeeeee
| '''30''' || 39% || 39% || 38% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 29% || 29% || 29% || 29%
|-
| '''31''' || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''32''' || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 30%
|-
| '''33''' || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''34''' || 51% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 30%
|-
| '''35''' || 51% || 51% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''36''' || 56% || 51% || 51% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 32% || 32%
|-
| '''37''' || 61% || 56% || 51% || 51% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 33% || 33% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''38''' || 61% || 61% || 56% || 51% || 51% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 33% || 33%
|-
| '''39''' || 65% || 61% || 56% || 56% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 33%
|-
|-style = "background:#eeeeee
| '''40''' || 69% || 65% || 61% || 56% || 56% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 35% || 35% || 35%
|-
| '''41''' || 69% || 65% || 65% || 61% || 56% || 56% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''42''' || 72% || 69% || 65% || 65% || 61% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36%
|-
| '''43''' || 76% || 72% || 69% || 65% || 61% || 61% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''44''' || 76% || 72% || 69% || 69% || 65% || 61% || 61% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38% || 36%
|-
| '''45''' || 79% || 76% || 72% || 69% || 69% || 65% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''46''' || 82% || 79% || 76% || 72% || 69% || 65% || 65% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 38% || 38%
|-
| '''47''' || 82% || 79% || 76% || 76% || 72% || 69% || 65% || 65% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''48''' || 84% || 82% || 79% || 76% || 72% || 69% || 69% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39% || 39%
|-
| '''49''' || 84% || 82% || 82% || 79% || 76% || 72% || 69% || 69% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 40% || 40% || 39%
|-
|-style = "background:#eeeeee
| '''50''' || 87% || 84% || 82% || 79% || 76% || 76% || 72% || 69% || 65% || 65% || 61% || 61% || 56% || 51% || 51% || 46% || 46% || 46% || 40% || 40%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L30 || L31 || L32 || L33 || L34 || L35 || L36 || L37 || L38 || L39 || L40 || L41 || L42 || L43 || L44 || L45 || L46 || L47 || L48 || L49
|-
| '''51''' || 89% || 87% || 84% || 82% || 79% || 76% || 72% || 72% || 69% || 65% || 65% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 40%
|-
|-style = "background:#eeeeee
| '''52''' || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 72% || 69% || 69% || 65% || 65% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 46%
|-
| '''53''' || 91% || 89% || 87% || 84% || 82% || 79% || 76% || 76% || 72% || 69% || 69% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''54''' || 93% || 91% || 89% || 87% || 84% || 82% || 79% || 76% || 72% || 72% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 46%
|-
| '''55''' || 93% || 91% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 72% || 72% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''56''' || 95% || 93% || 91% || 89% || 87% || 84% || 82% || 79% || 76% || 76% || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 51%
|-
| '''57''' || 97% || 93% || 91% || 89% || 87% || 84% || 84% || 82% || 79% || 76% || 76% || 72% || 69% || 69% || 65% || 65% || 61% || 56% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''58''' || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 72% || 72% || 69% || 69% || 65% || 61% || 61% || 56% || 56%
|-
| '''59''' || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 82% || 79% || 79% || 76% || 72% || 72% || 69% || 65% || 65% || 61% || 61% || 56%
|-
|-style = "background:#eeeeee
| '''60''' || 100% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 84% || 82% || 79% || 76% || 76% || 72% || 69% || 69% || 65% || 65% || 61% || 61%
|-
| '''61''' || || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 61%
|-
|-style = "background:#eeeeee
| '''62''' || || 100% || 97% || 95% || 93% || 91% || 89% || 87% || 87% || 84% || 82% || 79% || 79% || 76% || 72% || 72% || 69% || 69% || 65% || 65%
|-
| '''63''' || || || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 72% || 69% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''64''' || || || 100% || 97% || 95% || 93% || 91% || 89% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 69% || 69% || 65%
|-
| '''65''' || || || || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 84% || 82% || 79% || 79% || 76% || 72% || 72% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''66''' || || || || 100% || 99% || 95% || 93% || 93% || 91% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 72% || 69%
|-
| '''67''' || || || || || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 87% || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''68''' || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 84% || 84% || 82% || 79% || 79% || 76% || 72% || 72%
|-
| '''69''' || || || || || || 99% || 97% || 95% || 93% || 91% || 89% || 89% || 87% || 84% || 82% || 82% || 79% || 76% || 76% || 72%
|-
|-style = "background:#eeeeee
| '''70''' || || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 87% || 84% || 82% || 82% || 79% || 76% || 76%
|-
| '''71''' || || || || || || || 99% || 97% || 95% || 93% || 91% || 91% || 89% || 87% || 84% || 84% || 82% || 79% || 79% || 76%
|-
|-style = "background:#eeeeee
| '''72''' || || || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 89% || 87% || 87% || 84% || 82% || 82% || 79% || 79%
|-
| '''73''' || || || || || || || || 99% || 97% || 95% || 93% || 93% || 91% || 89% || 87% || 84% || 84% || 82% || 82% || 79%
|-
|-style = "background:#eeeeee
| '''74''' || || || || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 79%
|-
| '''75''' || || || || || || || || || 99% || 97% || 95% || 93% || 93% || 91% || 89% || 87% || 87% || 84% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''76''' || || || || || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 91% || 89% || 87% || 84% || 84% || 82%
|-
| '''77''' || || || || || || || || || || 99% || 97% || 95% || 95% || 93% || 91% || 89% || 87% || 87% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''78''' || || || || || || || || || || 100% || 99% || 97% || 95% || 93% || 91% || 91% || 89% || 87% || 87% || 84%
|-
| '''79''' || || || || || || || || || || || 99% || 97% || 95% || 95% || 93% || 91% || 89% || 89% || 87% || 84%
|-
|-style = "background:#eeeeee
| '''80''' || || || || || || || || || || || 100% || 99% || 97% || 95% || 93% || 93% || 91% || 89% || 87% || 87%
|-
| '''81''' || || || || || || || || || || || || 99% || 97% || 97% || 95% || 93% || 91% || 89% || 89% || 87%
|-
|-style = "background:#eeeeee
| '''82''' || || || || || || || || || || || || 100% || 99% || 97% || 95% || 93% || 93% || 91% || 89% || 89%
|-
| '''83''' || || || || || || || || || || || || || 99% || 97% || 97% || 95% || 93% || 91% || 91% || 89%
|-
|-style = "background:#eeeeee
| '''84''' || || || || || || || || || || || || || 100% || 99% || 97% || 95% || 93% || 93% || 91% || 89%
|-
| '''85''' || || || || || || || || || || || || || || 99% || 99% || 97% || 95% || 93% || 91% || 91%
|-
|-style = "background:#eeeeee
| '''86''' || || || || || || || || || || || || || || 100% || 99% || 97% || 95% || 95% || 93% || 91%
|-
| '''87''' || || || || || || || || || || || || || || || 99% || 99% || 97% || 95% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''88''' || || || || || || || || || || || || || || || 100% || 99% || 97% || 95% || 95% || 93%
|-
| '''89''' || || || || || || || || || || || || || || || || 99% || 99% || 97% || 95% || 93%
|-
|-style = "background:#eeeeee
| '''90''' || || || || || || || || || || || || || || || || 100% || 99% || 97% || 95% || 95%
|-
| '''91''' || || || || || || || || || || || || || || || || || 99% || 99% || 97% || 95%
|-
|-style = "background:#eeeeee
| '''92''' || || || || || || || || || || || || || || || || || 100% || 99% || 97% || 97%
|-
| '''93''' || || || || || || || || || || || || || || || || || || 99% || 99% || 97%
|-
|-style = "background:#eeeeee
| '''94''' || || || || || || || || || || || || || || || || || || 100% || 99% || 97%
|-
| '''95''' || || || || || || || || || || || || || || || || || || || 99% || 99%
|-
|-style = "background:#eeeeee
| '''96''' || || || || || || || || || || || || || || || || || || || 100% || 99%
|-
| '''97''' || || || || || || || || || || || || || || || || || || || || 100%
|-
|-style = "background:#eeeeee
| '''98''' || || || || || || || || || || || || || || || || || || || || 100%
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">Ranks </span> || L30 || L31 || L32 || L33 || L34 || L35 || L36 || L37 || L38 || L39 || L40 || L41 || L42 || L43 || L44 || L45 || L46 || L47 || L48 || L49
|}
{{top}}


====Levels 50 to 69====
:Numerator: <math>\mathrm{12000 - (1060 + \frac{2000}{100}) = 10920}</math>
:Denominator: <math>\mathrm{24000 + (60 * \sqrt{12000}) - 3600 = (24000 + 6573 - 3600) = 26973}</math>
:Redux Factor: <math>\mathrm{\frac{10920}{26973} = .4048492}</math>


{|role="presentation" class="wikitable mw-collapsible mw-collapsed"
5. Level 81 w/4784 redux points
|-
|-style = "background:#DDD; color: blue"
! Spell<br>&darr;<span style="font-size:88%">Ranks </span> || L50 || L51 || L52 || L53 || L54 || L55 || L56 || L57 || L58 || L59 || L60 || L61 || L62 || L63 || L64 || L65 || L66 || L67 || L68 || L69 ||
|-
| '''1''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''2''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
| '''3''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''4''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''5''' || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''6''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''7''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''8''' || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''9''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-style = "background:#eeeeee
| '''10''' || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''11''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''12''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''13''' || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''14''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''15''' || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''16''' || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16%
|-
| '''17''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''18''' || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''19''' || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''20''' || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18%
|-
| '''21''' || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''22''' || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20%
|-
| '''23''' || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''24''' || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
| '''25''' || 26% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''26''' || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22%
|-
| '''27''' || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''28''' || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
| '''29''' || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''30''' || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23%
|-
| '''31''' || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''32''' || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25%
|-
| '''33''' || 30% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''34''' || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25%
|-
| '''35''' || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''36''' || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26%
|-
| '''37''' || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''38''' || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27%
|-
| '''39''' || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''40''' || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27%
|-
| '''41''' || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27%
|-
|-style = "background:#eeeeee
| '''42''' || 35% || 35% || 35% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29%
|-
| '''43''' || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''44''' || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 29% || 29%
|-
| '''45''' || 36% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''46''' || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30%
|-
| '''47''' || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''48''' || 39% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30%
|-
| '''49''' || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''50''' || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32% || 32%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L50 || L51 || L52 || L53 || L54 || L55 || L56 || L57 || L58 || L59 || L60 || L61 || L62 || L63 || L64 || L65 || L66 || L67 || L68 || L69
|-
| '''51''' || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''52''' || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33%
|-
| '''53''' || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''54''' || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33%
|-
| '''55''' || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33%
|-
|-style = "background:#eeeeee
| '''56''' || 51% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35%
|-
| '''57''' || 51% || 51% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''58''' || 51% || 51% || 51% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 35% || 35%
|-
| '''59''' || 56% || 51% || 51% || 51% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''60''' || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36%
|-
| '''61''' || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''62''' || 61% || 61% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36%
|-
| '''63''' || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''64''' || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38% || 38%
|-
| '''65''' || 65% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''66''' || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39% || 39%
|-
| '''67''' || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''68''' || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39% || 39%
|-
| '''69''' || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 39%
|-
|-style = "background:#eeeeee
| '''70''' || 72% || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40%
|-
| '''71''' || 76% || 72% || 69% || 69% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40%
|-
|-style = "background:#eeeeee
| '''72''' || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 46% || 46% || 46% || 46% || 40%
|-
| '''73''' || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''74''' || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46%
|-
| '''75''' || 79% || 79% || 76% || 76% || 72% || 69% || 69% || 69% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''76''' || 82% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46%
|-
| '''77''' || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''78''' || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51%
|-
| '''79''' || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51%
|-
|-style = "background:#eeeeee
| '''80''' || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56%
|-
| '''81''' || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''82''' || 87% || 84% || 84% || 82% || 82% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 56% || 56%
|-
| '''83''' || 87% || 87% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 61% || 61% || 61% || 56%
|-
|-style = "background:#eeeeee
| '''84''' || 89% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 61% || 61% || 61%
|-
| '''85''' || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 76% || 76% || 76% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61% || 61%
|-
|-style = "background:#eeeeee
| '''86''' || 89% || 89% || 87% || 87% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 65% || 65% || 65% || 61%
|-
| '''87''' || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''88''' || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65%
|-
| '''89''' || 93% || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''90''' || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65%
|-
| '''91''' || 93% || 93% || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 65%
|-
|-style = "background:#eeeeee
| '''90''' || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 65%
|-
| '''91''' || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 69% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''92''' || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 69% || 69%
|-
| '''93''' || 95% || 93% || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69%
|-
|-style = "background:#eeeeee
| '''94''' || 97% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72% || 72%
|-
| '''95''' || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''96''' || 97% || 97% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 72% || 72%
|-
| '''97''' || 99% || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 72%
|-
|-style = "background:#eeeeee
| '''98''' || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76% || 76%
|-
| '''99''' || 100% || 99% || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 76% || 76%
|-
|-style = "background:#eeeeee
| '''100''' || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L50 || L51 || L52 || L53 || L54 || L55 || L56 || L57 || L58 || L59 || L60 || L61 || L62 || L63 || L64 || L65 || L66 || L67 || L68 || L69
|-
| '''101''' || || 100% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79% || 79%
|-
|-style = "background:#eeeeee
| '''102''' || || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79% || 79%
|-
| '''103''' || || || 100% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79%
|-
|-style = "background:#eeeeee
| '''104''' || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 79%
|-
| '''105''' || || || || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''106''' || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82%
|-
| '''107''' || || || || || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 82%
|-
|-style = "background:#eeeeee
| '''108''' || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84%
|-
| '''109''' || || || || || || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''110''' || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 87% || 87% || 87% || 84%
|-
| '''111''' || || || || || || || 100% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84%
|-
|-style = "background:#eeeeee
| '''112''' || || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87%
|-
| '''113''' || || || || || || || || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 91% || 91% || 89% || 89% || 87% || 87%
|-
|-style = "background:#eeeeee
| '''114''' || || || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87%
|-
| '''115''' || || || || || || || || || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 89% || 89% || 89%
|-
|-style = "background:#eeeeee
| '''116''' || || || || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89%
|-
| '''117''' || || || || || || || || || || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89%
|-
|-style = "background:#eeeeee
| '''118''' || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91% || 89%
|-
| '''119''' || || || || || || || || || || || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91%
|-
|-style = "background:#eeeeee
| '''120''' || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 93% || 93% || 91% || 91%
|-
| '''121''' || || || || || || || || || || || || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91%
|-
|-style = "background:#eeeeee
| '''122''' || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93%
|-
| '''123 '''|| || || || || || || || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''124''' || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93%
|-
| '''125''' || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 95% || 95% || 93%
|-
|-style = "background:#eeeeee
| '''126''' || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95%
|-
| '''127''' || || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 95% || 95%
|-
|-style = "background:#eeeeee
| '''128''' || || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95%
|-
| '''129''' || || || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97%
|-
|-style = "background:#eeeeee
| '''130''' || || || || || || || || || || || || || || || || 100% || 99% || 99% || 97% || 97%
|-
| '''131''' || || || || || || || || || || || || || || || || || 100% || 99% || 99% || 97%
|-
|-style = "background:#eeeeee
| '''132''' || || || || || || || || || || || || || || || || || 100% || 99% || 99% || 97%
|-
| '''133''' || || || || || || || || || || || || || || || || || || 100% || 99% || 99%
|-
|-style = "background:#eeeeee
| '''134'''|| || || || || || || || || || || || || || || || || || 100% || 99% || 99%
|-
| '''135''' || || || || || || || || || || || || || || || || || || || 100% || 99%
|-
|-style = "background:#eeeeee
| '''136''' || || || || || || || || || || || || || || || || || || || 100% || 100%
|-
| '''137''' || || || || || || || || || || || || || || || || || || || || 100%
|-
|-style = "background:#eeeeee
| '''138''' || || || || || || || || || || || || || || || || || || || || 100%
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">Ranks </span> || L50 || L51 || L52 || L53 || L54 || L55 || L56 || L57 || L58 || L59 || L60 || L61 || L62 || L63 || L64 || L65 || L66 || L67 || L68 || L69
|}
{{top}}


====Levels 70 to 89====
:Numerator: <math>\mathrm{4784 - (1060 + \frac{2000}{81}) = 3700}</math>
:Denominator: <math>\mathrm{9568 + (60 * \sqrt{4784}) - 3600 = (9568 + 4150 - 3600) = 10118}</math>
:Redux Factor: <math>\mathrm{\frac{3700}{10118} = .3656849}</math>


{|role="presentation" class="wikitable mw-collapsible mw-collapsed" style="text-align: center;"
===Redux Factor Formula (Quadratic Formula)===
|-
|-style = "background: DDD; color: blue"
! Spell<br>&darr;<span style="font-size:88%">Ranks </span> || L70 || L71 || L72 || L73 || L74 || L75 || L76 || L77 || L78 || L79 || L80 || L81 || L82 || L83 || L84 || L85 || L86 || L87 || L88 || L89 ||
|-
| '''1''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''2''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
| '''3''' ||0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''4''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''5''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''6''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''7''' || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''8''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6%
|-
| '''9''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''10''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''11''' || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''12''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''13''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''14''' || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''15''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''16''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''17''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''18''' || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''19''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''20''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''21''' || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''22''' || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''23''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''24''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''25''' || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''26''' || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18%
|-
| '''27''' || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''28''' || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
| '''29''' || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''30''' || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20%
|-
| '''31''' || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''32''' || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
| '''33''' || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''34''' || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22%
|-
| '''35''' || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''36''' || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
| '''37''' || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''38''' || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23%
|-
| '''39''' || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''40''' || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25%
|-
| '''41''' || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''42''' || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25%
|-
| '''43''' || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''44''' || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25%
|-
| '''45''' || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''46''' || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26%
|-
| '''47''' || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''48''' || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26%
|-
| '''49''' || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''50''' || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L70 || L71 || L72 || L73 || L74 || L75 || L76 || L77 || L78 || L79 || L80 || L81 || L82 || L83 || L84 || L85 || L86 || L87 || L88 || L89
|-
| '''51''' || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''52''' || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27%
|-
| '''53''' || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27%
|-
|-style = "background:#eeeeee
| '''54''' || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29%
|-
| '''55''' || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''56''' || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29%
|-
| '''57''' || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''58''' || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 30%
|-
| '''59''' || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''60''' || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30%
|-
| '''61''' || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''62''' || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30%
|-
| '''63''' || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''64''' || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32%
|-
| '''65''' || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''66''' || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 32% || 32%
|-
| '''67''' || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''68''' || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33%
|-
| '''69''' || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''70''' || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 35% || 33% || 33%
|-
| '''71''' || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 33%
|-
|-style = "background:#eeeeee
| '''72''' || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35%
|-
| '''73''' || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''74''' || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35%
|-
| '''75''' || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''76''' || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36%
|-
| '''77''' || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''78''' || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36%
|-
| '''79''' || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''80''' || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36%
|-
| '''81''' || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''82''' || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38%
|-
| '''83''' || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''84''' || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 38% || 38%
|-
| '''85''' || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''86''' || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39%
|-
| '''87''' || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''88''' || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39% || 39%
|-
| '''89''' || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 39%
|-
|-style = "background:#eeeeee
| '''90''' || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40%
|-
| '''91''' || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40%
|-
|-style = "background:#eeeeee
| '''92''' || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40%
|-
| '''93''' || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40%
|-
|-style = "background:#eeeeee
| '''94''' || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 46%
|-
| '''95''' || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 46% || 46% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''96''' || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46%
|-
| '''97''' || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''98''' || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46%
|-
| '''99''' || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''100''' || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L70 || L71 || L72 || L73 || L74 || L75 || L76 || L77 || L78 || L79 || L80 || L81 || L82 || L83 || L84 || L85 || L86 || L87 || L88 || L89
|-
| '''101''' || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''102''' || 76% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51%
|-
| '''103''' || 79% || 76% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''104''' || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56%
|-
| '''105''' || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''106''' || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56%
|-
| '''107''' || 82% || 79% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 56%
|-
|-style = "background:#eeeeee
| '''108''' || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 61%
|-
| '''109''' || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61%
|-
|-style = "background:#eeeeee
| '''110''' || 84% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61%
|-
| '''111''' || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61%
|-
|-style = "background:#eeeeee
| '''112''' || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65%
|-
| '''113''' || 84% || 84% || 84% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''114''' || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65%
|-
| '''115''' || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''116''' || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 65%
|-
| '''117''' || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 72% || 72% || 72% || 72% || 69% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''118''' || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69%
|-
| '''119''' || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''120''' || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69%
|-
| '''121''' || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''122''' || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72%
|-
| '''123''' || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''124''' || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76% || 72% || 72%
|-
| '''125''' || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72%
|-
|-style = "background:#eeeeee
| '''126''' || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76%
|-
| '''127''' || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 76% || 76% || 76%
|-
|-style = "background:#eeeeee
| '''128''' || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76%
|-
| '''129''' || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76%
|-
|-style = "background:#eeeeee
| '''130''' || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79%
|-
| '''131''' || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79%
|-
|-style = "background:#eeeeee
| '''132''' || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79%
|-
| '''133''' || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79%
|-
|-style = "background:#eeeeee
| '''134''' || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 82% || 82% || 82% || 79%
|-
| '''135''' || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''136''' || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82%
|-
| '''137''' || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''138''' || 100% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82%
|-
| '''139''' || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''140''' || 100% || 100% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84%
|-
| '''141''' || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''142''' || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84%
|-
| '''143''' || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84%
|-
|-style = "background:#eeeeee
| '''144''' || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 87%
|-
| '''145''' || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87%
|-
|-style = "background:#eeeeee
| '''146''' || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87%
|-
| '''147''' || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87%
|-
|-style = "background:#eeeeee
| '''148''' || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 89%
|-
| '''149''' || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 89% || 89% || 89%
|-
|-style = "background:#eeeeee
| '''150''' || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L70 || L71 || L72 || L73 || L74 || L75 || L76 || L77 || L78 || L79 || L80 || L81 || L82 || L83 || L84 || L85 || L86 || L87 || L88 || L89
|-
| '''151''' || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89%
|-
|-style = "background:#eeeeee
| '''152''' || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89%
|-
| '''153''' || || || || || || || || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 91%
|-
|-style = "background:#eeeeee
| '''154''' || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91%
|-
| '''155''' || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 93% || 93% || 91% || 91%
|-
|-style = "background:#eeeeee
| '''156''' || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91%
|-
| '''157''' || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 93% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''158''' || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93%
|-
| '''159''' || || || || || || || || || || || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''160''' || || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93%
|-
| '''161''' || || || || || || || || || || || || 100% || 99% || 99% || 99% || 97% || 97% || 95% || 95% || 93%
|-
|-style = "background:#eeeeee
| '''162''' || || || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95%
|-
| '''163''' || || || || || || || || || || || || || 100% || 99% || 99% || 99% || 97% || 97% || 95% || 95%
|-
|-style = "background:#eeeeee
| '''164''' || || || || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 95% || 95%
|-
| '''165''' || || || || || || || || || || || || || || 100% || 99% || 99% || 99% || 97% || 97% || 95%
|-
|-style = "background:#eeeeee
| '''166''' || || || || || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 97%
|-
| '''167''' || || || || || || || || || || || || || || || 100% || 99% || 99% || 99% || 97% || 97%
|-
|-style = "background:#eeeeee
| '''168''' || || || || || || || || || || || || || || || 100% || 100% || 99% || 99% || 97% || 97%
|-
| '''169''' || || || || || || || || || || || || || || || || 100% || 99% || 99% || 99% || 97%
|-
|-style = "background:#eeeeee
| '''170''' || || || || || || || || || || || || || || || || 100% || 100% || 99% || 99% || 97%
|-
| '''171''' || || || || || || || || || || || || || || || || || 100% || 99% || 99% || 99%
|-
|-style = "background:#eeeeee
| '''172''' || || || || || || || || || || || || || || || || || 100% || 100% || 99% || 99%
|-
| '''173''' || || || || || || || || || || || || || || || || || || 100% || 99% || 99%
|-
|-style = "background:#eeeeee
| '''174''' || || || || || || || || || || || || || || || || || || 100% || 100% || 99%
|-
| '''175''' || || || || || || || || || || || || || || || || || || || 100% || 100%
|-
|-style = "background:#eeeeee
| '''176''' || || || || || || || || || || || || || || || || || || || 100% || 100%
|-
| '''177''' || || || || || || || || || || || || || || || || || || || || 100%
|-
|-style = "background:#eeeeee
| '''178''' || || || || || || || || || || || || || || || || || || || || 100%
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">Ranks </span> || L70 || L71 || L72 || L73 || L74 || L75 || L76 || L77 || L78 || L79 || L80 || L81 || L82 || L83 || L84 || L85 || L86 || L87 || L88 || L89
|}
{{top}}


====Levels 90 to 100====
An approximate redux factor can be also be calculated by using the coefficients and constant of a quadratic equation in the standard form:


{|role="presentation" class="wikitable mw-collapsible mw-collapsed" style="text-align: center;"
{{Equation box|<math>\mathrm{ax^2 + bx + c = 0}</math>}}
|-
|-style = "background: DDD; color: blue"
! Spell<br>&darr;<span style="font-size:88%">Ranks </span> || L90 || L91 || L92 || L93 || L94 || L95 || L96 || L97 || L98 || L99 || L100 ||
|-
| '''1''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''2''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
| '''3''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
|-style = "background:#eeeeee
| '''4''' || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0 || 0
|-
| '''5''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''6''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''7''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''8''' || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6% || 6%
|-
| '''9''' || 10% || 10% || 10% || 10% || 10% || 6% || 6% || 6% || 6% || 6% || 6%
|-
|-style = "background:#eeeeee
| '''10''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''11''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''12''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
| '''13''' || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10% || 10%
|-
|-style = "background:#eeeeee
| '''14''' || 13% || 13% || 13% || 13% || 13% || 13% || 10% || 10% || 10% || 10% || 10%
|-
| '''15''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''16''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''17''' || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''18''' || 16% || 16% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13% || 13%
|-
| '''19''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 13% || 13% || 13% || 13%
|-
|-style = "background:#eeeeee
| '''20''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''21''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''22''' || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
| '''23''' || 18% || 18% || 18% || 18% || 16% || 16% || 16% || 16% || 16% || 16% || 16%
|-
|-style = "background:#eeeeee
| '''24''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 16% || 16% || 16%
|-
| '''25''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''26''' || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''27''' || 20% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''28''' || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18% || 18% || 18% || 18%
|-
| '''29''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 18% || 18% || 18%
|-
|-style = "background:#eeeeee
| '''30''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
| '''31''' || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''32''' || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20% || 20%
|-
| '''33''' || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20% || 20% || 20% || 20%
|-
|-style = "background:#eeeeee
| '''34''' || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 20% || 20% || 20%
|-
| '''35''' || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''36''' || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
| '''37''' || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''38''' || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22% || 22% || 22%
|-
| '''39''' || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 22% || 22% || 22%
|-
|-style = "background:#eeeeee
| '''40''' || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
| '''41''' || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''42''' || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23% || 23% || 23%
|-
| '''43''' || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23% || 23% || 23%
|-
|-style = "background:#eeeeee
| '''44''' || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 23% || 23% || 23%
|-
| '''45''' || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''46''' || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25% || 25% || 25%
|-
| '''47''' || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''48''' || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25% || 25% || 25%
|-
| '''49''' || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 25% || 25%
|-
|-style = "background:#eeeeee
| '''50''' || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L90 || L911 || L922 || L93 || L94 || L95 || L96 || L97 || L98 || L99 || L100
|-
| '''51''' || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''52''' || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26% || 26% || 26%
|-
| '''53''' || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26% || 26% || 26%
|-
|-style = "background:#eeeeee
| '''54''' || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26% || 26%
|-
| '''55''' || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 27% || 26%
|-
|-style = "background:#eeeeee
| '''56''' || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27% || 27%
|-
| '''57''' || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''58''' || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27% || 27% || 27%
|-
| '''59''' || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27% || 27%
|-
|-style = "background:#eeeeee
| '''60''' || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29% || 27%
|-
| '''61''' || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''62''' || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29% || 29%
|-
| '''63''' || 30% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29% || 29% || 29%
|-
|-style = "background:#eeeeee
| '''64''' || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 30% || 29% || 29%
|-
| '''65''' || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30% || 30% || 29%
|-
|-style = "background:#eeeeee
| '''66''' || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30% || 30%
|-
| '''67''' || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''68''' || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30% || 30% || 30%
|-
| '''69''' || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 32% || 30% || 30%
|-
|-style = "background:#eeeeee
| '''70''' || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32% || 30%
|-
| '''71''' || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''72''' || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32% || 32% || 32%
|-
| '''73''' || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32% || 32%
|-
|-style = "background:#eeeeee
| '''74''' || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 32% || 32%
|-
| '''75''' || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33% || 32%
|-
|-style = "background:#eeeeee
| '''76''' || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33% || 33%
|-
| '''77''' || 36% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''78''' || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 35% || 33% || 33% || 33%
|-
| '''79''' || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 35% || 33% || 33%
|-
|-style = "background:#eeeeee
| '''80''' || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 35% || 33%
|-
| '''81''' || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''82''' || 38% || 36% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35% || 35%
|-
| '''83''' || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 36% || 35% || 35% || 35%
|-
|-style = "background:#eeeeee
| '''84''' || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 36% || 35% || 35%
|-
| '''85''' || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36% || 35%
|-
|-style = "background:#eeeeee
| '''86''' || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36% || 36%
|-
| '''87''' || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''88''' || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36% || 36%
|-
| '''89''' || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36% || 36%
|-
|-style = "background:#eeeeee
| '''90''' || 39% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38% || 36%
|-
| '''91''' || 40% || 39% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''92''' || 40% || 40% || 39% || 39% || 39% || 39% || 39% || 38% || 38% || 38% || 38%
|-
| '''93''' || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 39% || 38% || 38% || 38%
|-
|-style = "background:#eeeeee
| '''94''' || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 39% || 38% || 38%
|-
| '''95''' || 40% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 39% || 38%
|-
|-style = "background:#eeeeee
| '''96''' || 46% || 40% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39% || 39%
|-
| '''97''' || 46% || 46% || 40% || 40% || 40% || 40% || 40% || 39% || 39% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''98''' || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 40% || 39% || 39% || 39%
|-
| '''99''' || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 40% || 39% || 39%
|-
|-style = "background:#eeeeee
| '''100''' || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 40% || 39%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L90 || L911 || L922 || L93 || L94 || L95 || L96 || L97 || L98 || L99 || L100
|-
| '''101''' || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40% || 40%
|-
|-style = "background:#eeeeee
| '''102''' || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40% || 40%
|-
| '''103''' || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40% || 40%
|-
|-style = "background:#eeeeee
| '''104''' || 51% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 40% || 40%
|-
| '''105''' || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 46% || 40%
|-
|-style = "background:#eeeeee
| '''106''' || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46% || 46%
|-
| '''107''' || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''108''' || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46% || 46%
|-
| '''109''' || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46% || 46%
|-
|-style = "background:#eeeeee
| '''110''' || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 46%
|-
| '''111''' || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''112''' || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51% || 51%
|-
| '''113''' || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51% || 51%
|-
|-style = "background:#eeeeee
| '''114''' || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51% || 51%
|-
| '''115''' || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 56% || 51%
|-
|-style = "background:#eeeeee
| '''116''' || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56% || 56%
|-
| '''117''' || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 56% || 56% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''118''' || 69% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56% || 56%
|-
| '''119''' || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56% || 56%
|-
|-style = "background:#eeeeee
| '''120''' || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 61% || 56%
|-
| '''121''' || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61% || 61%
|-
|-style = "background:#eeeeee
| '''122''' || 69% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61% || 61%
|-
| '''123''' || 72% || 69% || 69% || 69% || 69% || 65% || 65% || 65% || 61% || 61% || 61%
|-
|-style = "background:#eeeeee
| '''124''' || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61% || 61%
|-
| '''125''' || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65% || 65% || 65% || 61%
|-
|-style = "background:#eeeeee
| '''126''' || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65% || 65% || 65%
|-
| '''127''' || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''128''' || 76% || 72% || 72% || 72% || 72% || 69% || 69% || 69% || 65% || 65% || 65%
|-
| '''129''' || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65% || 65%
|-
|-style = "background:#eeeeee
| '''130''' || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69% || 65%
|-
| '''131''' || 76% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''132''' || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 72% || 69% || 69% || 69%
|-
| '''133''' || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69% || 69%
|-
|-style = "background:#eeeeee
| '''134''' || 79% || 79% || 76% || 76% || 76% || 76% || 72% || 72% || 72% || 69% || 69%
|-
| '''135''' || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 72% || 69%
|-
|-style = "background:#eeeeee
| '''136''' || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72% || 72%
|-
| '''137''' || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 76% || 72% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''138''' || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72% || 72%
|-
| '''139''' || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 72% || 72%
|-
|-style = "background:#eeeeee
| '''140''' || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 76% || 72%
|-
| '''141''' || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76% || 76%
|-
|-style = "background:#eeeeee
| '''142''' || 84% || 82% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76%
|-
| '''143''' || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76% || 76%
|-
|-style = "background:#eeeeee
| '''144''' || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 76% || 76%
|-
| '''145''' || 84% || 84% || 84% || 82% || 82% || 82% || 82% || 79% || 79% || 79% || 76%
|-
|-style = "background:#eeeeee
| '''146''' || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79% || 79%
|-
| '''147''' || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79% || 79%
|-
|-style = "background:#eeeeee
| '''148''' || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 82% || 79% || 79%
|-
| '''149''' || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79% || 79%
|-
|-style = "background:#eeeeee
| '''150''' || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 79%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">&darr;Ranks </span> || L90 || L911 || L922 || L93 || L94 || L95 || L96 || L97 || L98 || L99 || L100
|-
| '''151''' || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''152''' || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82% || 82%
|-
| '''153''' || 89% || 89% || 89% || 87% || 87% || 84% || 84% || 84% || 84% || 82% || 82%
|-
|-style = "background:#eeeeee
| '''154''' || 89% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82% || 82%
|-
| '''155''' || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82%
|-
|-style = "background:#eeeeee
| '''156''' || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84% || 82%
|-
| '''157''' || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''158''' || 91% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84% || 84%
|-
| '''159''' || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84% || 84%
|-
|-style = "background:#eeeeee
| '''160''' || 93% || 91% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87% || 84%
|-
| '''161''' || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 87% || 87% || 87% || 84%
|-
|-style = "background:#eeeeee
| '''162''' || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 89% || 87% || 87% || 87%
|-
| '''163''' || 93% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 89% || 87% || 87%
|-
|-style = "background:#eeeeee
| '''164''' || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87% || 87%
|-
| '''165''' || 95% || 93% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 89% || 87%
|-
|-style = "background:#eeeeee
| '''166''' || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89% || 89% || 89% || 87%
|-
| '''167''' || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89% || 89%
|-
|-style = "background:#eeeeee
| '''168''' || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 91% || 89% || 89%
|-
| '''169''' || 97% || 95% || 95% || 95% || 93% || 93% || 91% || 91% || 91% || 89% || 89%
|-
|-style = "background:#eeeeee
| '''170''' || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 91% || 89%
|-
| '''171''' || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 89%
|-
|-style = "background:#eeeeee
| '''172''' || 97% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91% || 91%
|-
| '''173''' || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 93% || 91% || 91%
|-
|-style = "background:#eeeeee
| '''174''' || 99% || 97% || 97% || 97% || 95% || 95% || 93% || 93% || 93% || 91% || 91%
|-
| '''175''' || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 93% || 91%
|-
|-style = "background:#eeeeee
| '''176''' || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 91%
|-
| '''177''' || 100% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''178''' || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 95% || 93% || 93%
|-
| '''179''' || 100% || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 93% || 93%
|-
|-style = "background:#eeeeee
| '''180''' || 100% || 100% || 99% || 99% || 99% || 97% || 97% || 95% || 95% || 95% || 93%
|-
| '''181''' || || 100% || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95% || 93%
|-
|-style = "background:#eeeeee
| '''182''' || || 100% || 100% || 99% || 99% || 99% || 97% || 97% || 95% || 95% || 95%
|-
| '''183''' || || || 100% || 100% || 99% || 99% || 97% || 97% || 97% || 95% || 95%
|-
|-style = "background:#eeeeee
| '''184''' || || || 100% || 100% || 99% || 99% || 99% || 97% || 97% || 95% || 95%
|-
| '''185''' || || || || 100% || 100% || 99% || 99% || 97% || 97% || 97% || 95%
|-
|-style = "background:#eeeeee
| '''186''' || || || || 100% || 100% || 99% || 99% || 99% || 97% || 97% || 95%
|-
| '''187''' || || || || || 100% || 100% || 99% || 99% || 97% || 97% || 97%
|-
|-style = "background:#eeeeee
| '''188''' || || || || || 100% || 100% || 99% || 99% || 99% || 97% || 97%
|-
| '''189''' || || || || || || 100% || 100% || 99% || 99% || 97% || 97%
|-
|-style = "background:#eeeeee
| '''190''' || || || || || || 100% || 100% || 99% || 99% || 99% || 97%
|-
| '''191''' || || || || || || || 100% || 100% || 99% || 99% || 97%
|-
|-style = "background:#eeeeee
| '''192''' || || || || || || || 100% || 100% || 99% || 99% || 99%
|-
| '''193''' || || || || || || || || 100% || 100% || 99% || 99%
|-
|-style = "background:#eeeeee
| '''194''' || || || || || || || || 100% || 100% || 99% || 99%
|-
| '''195''' || || || || || || || || || 100% || 100% || 99%
|-
|-style = "background:#eeeeee
| '''196''' || || || || || || || || || 100% || 100% || 99%
|-
| '''197''' || || || || || || || || || || 100% || 100%
|-
|-style = "background:#eeeeee
| '''198''' || || || || || || || || || || 100% || 100%
|-
| '''199''' || || || || || || || || || || || 100%
|-
|-style = "background:#eeeeee
| '''200''' || || || || || || || || || || || 100%
|-
|-style = "background:#DDD; color: blue"
! &uarr;Spell<br><span style="font-size:85%">Ranks </span> || L90 || L911 || L922 || L93 || L94 || L95 || L96 || L97 || L98 || L99 || L100
|}
{{top}}


==Spell Penalty Calculation based on Tier==
'''An understanding of this formula is not necessary to calculate the redux factor'''. The only requirements are determination of [[Raw damage|raw]] and [[critical]] damage values for a given attack. Averaging the results of multiple attack resolutions is recommended for greater accuracy. Avoid using damage [[Weighting|weighted]] weapons and damage padded armor since they will cause erroneous results.


There are two unique spell penalty calculations, dependent upon whether you are below or above 1x Spell Research training. However, even though this equation is incredibly detailed, '''these penalties are rounded UP to the whole percentage'''. The rounded up values are reflected on the table above.
Where:
*Below 1x: Penalty = 100 - 5.5615X + .5444X^2 - 0.0303X^3 + 0.0006X^4
:<math>\mathrm{x = redux factor}</math>
*Between 1x and 2x: 60 - 5.7959X + .1979X^2 - .0031X^3
:<math>\mathrm{a = raw damage}</math>
*Above 2x: No Redux
:<math>\mathrm{b = (raw damage * 2) + crit damage}</math>
:<math>\mathrm{c = raw damage + crit damage + 0.5 - actual damage taken}</math>


The chart below shows these equations in action:
Note: <math>\mathrm{Raw damage = (endroll - 100) * weapon damage factor}</math>
{|role="presentation" class="wikitable mw-collapsible mw-collapsed" style="text-align: center;"

|-
Once the a, b, c values have been calculated, they can be entered into a quadratic equation calculator. '''The b value must be entered as a negative'''.
|-style = "background: DDD; color: blue"

! Spell<br>Penalty<br>Tier || Redux || Total<br>Redux<br>Penalty || Marginal<br>Redux<br>Penalty || / || Spell<br>Penalty<br>Tier || Redux || Total<br>Redux<br>Penalty || Marginal<br>Redux<br>Penalty ||
An online calculator can be found at:
|-
:http://www.math.com/students/calculators/source/quadratic.htm
! 0

| 100.00 || 0.00% || NA || / || style="background: #eeeeee"|'''20'''
====Example====
| 60.00 || 40.00% || 1.22%
<pre{{log2|margin-right=350px}}>
|-
You swing a gleaming rune-scribed [[maul]] at Drangell!
! 1
AS: +803 vs DS: +520 with AvD: +41 + d100 roll: +68 = +392
| 94.95 || 5.05% || 5.05% || / || style="background: #eeeeee"|'''21'''
... and hit for 91 points of damage!
| 54.40 || 45.60% || 5.60%
A mighty hit turns Drangell's insides to outsides!
|-
</pre>
! 2

| 90.82 || 9.18% || 4.13% || / || style="background: #eeeeee"|'''22'''
:Weapon [[damage factor]]: <math>\mathrm{.450}</math> (perfect maul vs scale)
| 49.18 || 50.83% || 5.22%
:Raw damage: <math>\mathrm{131.4 (292 * .450)}</math>
|-
:[[Critical table|Crit damage]]: <math>\mathrm{75}</math> (R9 [[Crush critical table|crush]] - abdomen)
! 3
:Actual damage: <math>\mathrm{91}</math>
| 87.45 || 12.55% || 3.38% || / || style="background: #eeeeee"|'''23'''

| 44.31 || 55.69% || 4.87%
:<math>\mathrm{a = 131.4}</math> (raw damage)
|-
:<math>\mathrm{b = 337.8}</math> (raw damage * 2) + crit damage ('''entered as negative''')
! 4
:<math>\mathrm{c = 115.9}</math> (raw damage + crit damage + 0.5 - actual damage)
| 84.68 || 15.32% || 2.77% || / || style="background: #eeeeee"|'''24'''

| 39.78 || 60.22% || 4.53%
<math>\mathrm{Redux Factor: ~.408}</math> ({{mono|0.4077873841171237}} is the {{mono|X2}} value from the online calculator).
|-
! 5
| 82.39 || 17.61% || 2.29% || / || style="background: #eeeeee"|'''25'''
| 35.58 || 64.42% || 4.20%
|-
! 6
| 80.46 || 19.54% || 1.93% || / || style="background: #eeeeee"|'''26'''
| 31.68 || 68.32% || 3.90%
|-
! 7
| 78.79 || 21.21% || 1.67% || / || style="background: #eeeeee"|'''27'''
| 28.06 || 71.94% || 3.62%
|-
! 8
| 77.29 || 22.71% || 1.50% || / || style="background: #eeeeee"|'''28'''
| 24.71 || 75.29% || 3.35%
|-
! 9
| 75.89 || 24.11% || 1.40% || / || style="background: #eeeeee"|'''29'''
| 21.61 || 78.39% || 3.10%
|-
! 10
| 74.53 || 25.48% || 1.37% || / || style="background: #eeeeee"|'''30'''
| 18.73 || 81.27% || 2.88%
|-
! 11
| 73.15 || 26.85% || 1.37% || / || style="background: #eeeeee"|'''31'''
| 16.06 || 83.94% || 2.67%
|-
! 12
| 71.74 || 28.26% || 1.41% || / || style="background: #eeeeee"|'''32'''
| 13.59 || 86.41% || 2.47%
|-
! 13
| 70.27 || 29.73% || 1.47% || / || style="background: #eeeeee"|'''33'''
| 11.29 || 88.71% || 2.30%
|-
! 14
| 68.75 || 31.25% || 1.52% || / || style="background: #eeeeee"|'''34'''
| 9.14 || 90.86% || 2.15%
|-
! 15
| 67.18 || 32.82% || 1.57% || / || style="background: #eeeeee"|'''35'''
| 7.13 || 92.87% || 2.01%
|-
! 16
| 65.60 || 34.40% || 1.58% || / || style="background: #eeeeee"|'''36'''
| 5.23 || 94.77% || 1.90%
|-
! 17
| 64.03 || 35.97% || 1.56% || / || style="background: #eeeeee"|'''37'''
| 3.43 || 96.57% || 1.80%
|-
! 18
| 62.55 || 37.45% || 1.48% || / || style="background: #eeeeee"|'''38'''
| 1.71 || 98.29% || 1.72%
|-
! 19
| 61.22 || 38.78% || 1.33% || / || style="background: #eeeeee"|'''39'''
| 0.00 || 100% || 1.71%
|}


==Order of Operations==
==Order of Operations==
''Redux'', consists of two parts. Part I functions against the weapon damage factor is reduced by the redux factor and the resulting reduced [[raw damage]] determines the maximum [[critical]] rank. Part II includes an additional raw damage reduction plus critical damage reduction.
This section contains a detailed explanation of the procedure (order of operations) used to calculate damage reduction (applies to [[Attack strength|AS]]-based attacks only).

In the previous redux model, ''DFredux'', the weapon [[damage factor]] (DF) was effectively reduced by a redux factor (RF) using the formula: .ceil((DF * (1-RF)) = DFr, where DFr is the reduced weapon DF and (DFr * endroll success margin) determined actual raw damage taken. The critical rank with corresponding damage was based on the reduced raw damage but there was no critical damage reduction. It has remained an open question whether or not there is just 1 or 2 redux factors used in the current model (answer is 1) and the order of operations for reducing damage.

The current model, ''Total Damage Reduction'', consists of two parts. Part I functions similarly to DFredux: the weapon damage factor is reduced by the redux factor and the resulting reduced [[raw damage]] determines the maximum [[critical]] rank. Part II includes an additional raw damage reduction plus critical damage reduction.

===Part 1 (weapon damage factor reduction)===

Formula for calculating the reduced weapon damage factor (designated DFr)

:<tt>DFr = .ceil((DF * (1-RF))</tt>

For example, a [[broadsword]] has a normal damage factor of .200 vs plate armor. Against a character with RF .315 the broadsword's damage factor is reduced to .137
:<tt>.ceil((.200 * (1 - .315) = .137</tt>

===Part 2 (total damage reduction)===

Formula for calculating total damage taken

:<tt>Total damage taken = (reduced raw damage + crit damage) - [[trunc]]((redux factor *(reduced raw dmg + crit dmg))</tt>

Formula for calculating reduced raw damage taken

:<tt>Reduced raw damage taken = round(DFr * (endroll - 100))</tt>

Example

<pre{{log2|margin-right=350px}}>
You swing a gleaming rune-scribed [[maul]] at Drangell!
AS: +803 vs DS: +520 with AvD: +41 + d100 roll: +68 = +392
... and '''hit for 91 points of damage'''!
A mighty hit turns Drangell's insides to outsides!
</pre>

Weapon DF: .450 (perfect maul vs scale)<br>
Redux factor: .408<br>
Reduced weapon DF (DFr): .267 [.ceil((1 - .408) * 450)]<br>
Endroll - 100: 292<br>
Reduced raw damage: 78 [round(.267 * 292)]<br>
Critical damage: 75 (Rank 9 Crush, Abdomen)<br>

Total damage taken = (78 + 75) - trunc(.408 * (78 + 75)) = '''91 total damage taken'''

==Weighting and Padding==

*[[Critical weighting]]/padding is added to or subtracted from reduced raw damage. This adjusted value is used for maximum critical rank determination only.


===Conventional AS resolved Attack===
*[[Damage weighting]]/padding is added to or subtracted from the total calculated damage.
==Spell Penalty==
:<small>''This section is due for a rewrite when further calculations are done.''</small>
Training in [[spell]]s will reduce a character's redux. This is a gradual reduction based on the number of spell ranks trained, but the exact formula is not currently known. There is some research which indicates that at one spell rank per level the penalty is approximately 34-38%. At two ranks per level the penalty is 100%.


For the purposes of this comparison, there is an assumption of a working knowledge of the combat system.
Example: A level 100 character with a redux factor of .360 decides to train 100 spell ranks. This character can expect that the spell penalty will lower their redux factor from .360 to approximately .225. With 200 spell ranks or greater they will lose their redux entirely.


Redux is applied twice in the damage resolution process:
''Note: Training in magic skills other than spells has no effect on redux.''
{{equation box|{{math|1=Reduxed Raw Damage MAX(1,TRUNC(Raw Damage*(1-Redux)) }}}}


This new Redux'ed Raw damage is used as the baseline for determining critical
==Resources==
{{equation box|{{math|1=(Reduxed Raw Damage + Critical weighting - Critical Padding)/Critical Divisor}}}}
*[[Redux (saved posts)]]
This is used to determine Critical Tier, and subject to randomization
*[http://forums.play.net/forums/GemStone%20IV/Hunting%20and%20Combat/Redux/view Officials folder]
{{equation box|{{math|1=Blood Loss = ((Reduxed Raw Damage + Critical Damage)*(1-Redux)) + Damage Weighting - Damage Padding}}}}
[[category:Skills]]
[[category:Advanced Mechanics]]

Latest revision as of 14:59, 1 May 2024

Redux, also known as Damage Reduction, is the ability of a character to resist damage as a result of physical training, resulting in less health loss as well as reducing or negating the severity of a wound. This is not to be confused with Defensive Strength (DS), which reduces the endroll in the combat formula. Redux does not activate until the character is successfully hit, when it will reduce the damage correspondingly.


Redux Terms Used

RP: Redux Points: These are obtained from training in physical skills for your character. Each physical skill grants a specific quantity of points that are used in subsequent calculations.

Spell Penalty Tier: Spell Penalties are bucketed as a function of your individual spell research training relative to your level. Each tier applies a level of penalty against your current Redux quantity.

Spell Penalty: A function of the Spell Penalty Tier, the actual amount of reduction of Redux.


Redux Factors

Redux is achieved by training in physical skills, and are divided into primary, secondary, and tertiary skills. Primary skills provide 50 points towards redux, secondary skills provide 20 points, and tertiary provide 15 points. There is also a level based penalty associated with this function that decreases as you level.

Primary Skill: 50 points per rank

Secondary Skills: 20 points per rank

Tertiary Skills: 15 points per rank


Redux Points

RP = ((Primary * 50) + ((Secondary - TRUNC(550 / (level + 1))) * 20) + (Tertiary * 15)) / 20

Diminished Returns

After 35% Redux (880 points after taking into account the level based penalty), the values have diminished returns applied to them:

IF RP>880 Then RP = 880 + MAX(0,TRUNC((RP-880)/3))

Redux Floor

RP > 264

A RP value of 264 is required before Redux will take effect. This has been greatly simplified from a variety of up and downstream equations.


Calculating Redux from RP

Redux = (1 - 264/RP)/2

Spell Penalties

Spell penalties adjust your Redux by multiplying your effective Redux by a spell penalty value based on your spell research training and your level. There are specific spell research training thresholds when the spell penalties increase, and each increase in threshold has a unique additional penalty associated with it. The specific thresholds and penalties are outlined below.


Redux Spell Penalty Tables

The following tables contain a complete list of the redux spell penalty percentages for characters level 30 to 100. The penalties are located at the intersection of a character's level (top row) and total spell ranks known (left column). A cell entry of 0 indicates that there is no penalty for that spell rank. Example, L96 with knowledge of 4 total spells has no redux penalty. but will have a 6% penalty upon learning the 5th rank. Conversely, a cell entry of 100% signifies that the character has no redux. Example, a L100 character with 197 spell ranks.

Levels 30 to 49

Return to the top of this page.

Levels 50 to 69

Return to the top of this page.

Levels 70 to 89

Return to the top of this page.

Levels 90 to 100

Return to the top of this page.

Spell Penalty Calculation based on Tier

There are two unique spell penalty calculations, dependent upon whether you are below or above 1x Spell Research training. However, even though this equation is incredibly detailed, these penalties are rounded UP to the whole percentage. The rounded up values are reflected on the table above.

  • Below 1x: Penalty = 100 - 5.5615X + .5444X^2 - 0.0303X^3 + 0.0006X^4
  • Between 1x and 2x: 60 - 5.7959X + .1979X^2 - .0031X^3
  • Above 2x: No Redux

The chart below shows these equations in action:

Order of Operations

Redux, consists of two parts. Part I functions against the weapon damage factor is reduced by the redux factor and the resulting reduced raw damage determines the maximum critical rank. Part II includes an additional raw damage reduction plus critical damage reduction.

Conventional AS resolved Attack

For the purposes of this comparison, there is an assumption of a working knowledge of the combat system.

Redux is applied twice in the damage resolution process:

Reduxed Raw Damage MAX(1,TRUNC(Raw Damage*(1-Redux))

This new Redux'ed Raw damage is used as the baseline for determining critical

(Reduxed Raw Damage + Critical weighting - Critical Padding)/Critical Divisor

This is used to determine Critical Tier, and subject to randomization

Blood Loss = ((Reduxed Raw Damage + Critical Damage)*(1-Redux)) + Damage Weighting - Damage Padding
Retrieved from "https://gswiki.play.net/index.php?title=Redux&oldid=218717"