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User:Lériendil/Square and triangle superparticulars by prime subgroup: Difference between revisions

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== 5-prime subgroups ==
== 5-prime subgroups ==
=== 7-add-one-limit (L7.p) ===
=== 7-add-one-limit (L7.p) ===
{| class="wikitable center-1 center-2"
|-
! rowspan="2" | Square-particular
! rowspan="2" | Subgroup
! colspan="2" | Comma
|-
! Ratio
! Smonzo
|-
| S21
| [[11-limit|L11]]
| [[441/440]]
| {{monzo| -3 2 -1 2 -1 }}
|-
| S55
| [[11-limit|L11]]
| [[3025/3024]]
| {{monzo| -4 -3 2 -1 2 }}
|-
| S99
| [[11-limit|L11]]
| [[9801/9800]]
| {{monzo| -3 4 -2 -2 2 }}
|-
| S14
| L7.13
| [[196/195]]
| {{monzo| 2 -1 -1 2 -1 }}
|-
| S64
| L7.13
| [[4096/4095]]
| {{monzo| 12 -2 -1 -1 -1 }}
|-
| S35 = T49
| L7.17
| [[1225/1224]]
| {{monzo| -3 -2 2 2 -1 }}
|-
| S50
| L7.17
| [[2500/2499]
| {{monzo| 2 -1 4 -2 -1 }}
|-
| S20
| L7.19
| [[400/399]]
| {{monzo| 4 -1 2 -1 -1 }}
|-
| S161
| L7.23
| [[25921/25920]]
| {{monzo| -6 -4 -1 2 2 }}
|-
| S29
| L7.29
| [[841/840]]
| {{monzo| -3 -1 -1 -1 2 }}
|-
| S125
| L7.31
| [[15625/15624]]
| {{monzo| -3 -2 6 -1 -1 }}
|-
| S36
| L7.37
| [[1296/1295]]
| {{monzo| 4 4 -1 -1 -1 }}
|-
| S41
| L7.41
| [[1681/1680]]
| {{monzo| -4 -1 -1 -1 2 }}
|-
| S244
| L7.61
| [[59536/59535]]
| {{monzo| 4 -5 -1 -2 2 }}
|-
| S71
| L7.71
| [[5041/5040]]
| {{monzo| -4 -2 -1 -1 2 }}
|-
| S225
| L7.113
| [[50625/50624]]
| {{monzo| -6 4 -1 4 -1 }}
|-
| S126
| L7.127
| [[15876/15875]]
| {{monzo| 2 4 -3 2 -1 }}
|-
| S224
| L7.223
| [[50176/50175]]
| {{monzo| 10 -2 -2 2 -1 }}
|-
| S251
| L7.251
| [[59536/59535]]
| {{monzo| -3 -2 -3 -1 2 }}
|-
| S449
| L7.449
| [[201601/201600]]
| {{monzo| -7 -2 -2 -1 2 }}
|-
| S4375
| L7.547
| [[19140625/19140624]]
| {{monzo| -4 -7 8 2 -1 }}
|-
| S2401
| L7.1201
| [[5764801/5764800]]
| {{monzo| -5 -1 -2 8 -1 }}
|-
| S2400
| L7.2399
| [[5760000/5759999]]
| {{monzo| 10 2 4 -4 -1 }}
|-
| S4801
| L7.4801
| [[23049601/23049600]]
| {{monzo| -7 -1 -2 -4 2 }}
|}
{| class="wikitable center-1 center-2 center-5 center-6"
|-
! rowspan="2" | Triangle-particular
! rowspan="2" | Subgroup
! colspan="2" | Comma
! rowspan="2" | Ultraparticular
! rowspan="2" | Subgroup
! colspan="2" | Comma
|-
! Ratio
! Smonzo
! Ratio
! Smonzo
|-
| T5
| [[7-limit|L7]]
| [[15/14]]
| {{monzo| -1 1 1 -1 }}
| U5
| [[7-limit|L7]]
| [[875/864]]
| {{monzo| -5 -3 3 1 }}
|-
| T6
| [[7-limit|L7]]
| [[21/20]]
| {{monzo| -2 1 -1 1 }}
| U6
| [[7-limit|L7]]
| [[1728/1715]]
| {{monzo| 6 3 -1 -3 }}
|-
| T8 = S6
| [[7-limit|L7]]
| [[36/35]]
| {{monzo| 2 2 -1 -1 }}
| U8
| [[7-limit|L7]]
| [[5120/5103]]
| {{monzo| 10 -6 1 -1 }}
|-
| T9
| L5.11
| [[45/44]]
| {{monzo| -2 2 1 -1 }}
| U9
| L5.11
| [[8019/8000]]
| {{monzo| -6 6 -3 1 }}
|-
| T10
| L5.11
| [[55/54]]
| {{monzo| -1 -3 1 1 }}
| U10
| L5.11
| [[4000/3993]]
| {{monzo| 5 -1 3 -3 }}
|-
| T25
| L5.13
| [[325/324]]
| {{monzo| -2 -4 2 1 }}
| U25
| L5.13
| [[140625/140608]]
| {{monzo| -6 2 6 -3 }}
|-
| T16
| L5.17
| [[136/135]]
| {{monzo| 3 -3 -1 1 }}
| U16
| L5.17
| [[24576/24565]]
| {{monzo| 13 1 -1 -3 }}
|}
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