Unicorn family
The unicorn family tempers out the unicorn comma, 1594323/1562500 = [-2 13 -8⟩.
Unicorn
Subgroup: 2.3.5
Comma list: 1594323/1562500
Mapping: [⟨1 2 3], ⟨0 -8 -13]]
POTE generator: ~250/243 = 62.458
Badness: 0.150487
Septimal unicorn
Subgroup: 2.3.5.7
Comma list: 126/125, 10976/10935
Mapping: [⟨1 2 3 4], ⟨0 -8 -13 -23]]
Wedgie: ⟨⟨ 8 13 23 2 14 17 ]]
POTE generator: ~28/27 = 62.278
Badness: 0.040913
Alicorn
Subgroup: 2.3.5.7.11
Comma list: 126/125, 540/539, 896/891
Mapping: [⟨1 2 3 4 3], ⟨0 -8 -13 -23 9]]
POTE generator: ~28/27 = 62.101
Optimal GPV sequence: Template:Val list
Badness: 0.039156
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 144/143, 196/195, 676/675
Mapping: [⟨1 2 3 4 3 5], ⟨0 -8 -13 -23 9 -25]]
POTE generator: ~28/27 = 62.119
Optimal GPV sequence: Template:Val list
Badness: 0.023667
Camahueto
Subgroup: 2.3.5.7.11
Comma list: 126/125, 385/384, 10976/10935
Mapping: [⟨1 2 3 4 2], ⟨0 -8 -13 -23 28]]
POTE generator: ~28/27 = 62.431
Optimal GPV sequence: Template:Val list
Badness: 0.065940
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 196/195, 385/384, 676/675
Mapping: [⟨1 2 3 4 2 5], ⟨0 -8 -13 -23 28 -25]]
POTE generator: ~28/27 = 62.434
Optimal GPV sequence: Template:Val list
Badness: 0.036155
Qilin
Subgroup: 2.3.5.7.11
Comma list: 126/125, 176/175, 10976/10935
Mapping: [⟨1 2 3 4 6], ⟨0 -8 -13 -23 -49]]
POTE generator: ~28/27 = 62.196
Optimal GPV sequence: Template:Val list
Badness: 0.041426
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 176/175, 196/195, 2200/2197
Mapping: [⟨1 2 3 4 6 5], ⟨0 -8 -13 -23 -49 -25]]
POTE generator: ~28/27 = 62.197
Optimal GPV sequence: Template:Val list
Badness: 0.022842
Monocerus
Subgroup: 2.3.5.7.11
Comma list: 126/125, 243/242, 5488/5445
Mapping: [⟨2 4 6 8 9], ⟨0 -8 -13 -23 -20]]
POTE generator: ~28/27 = 62.292
Optimal GPV sequence: Template:Val list
Badness: 0.052757
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 126/125, 196/195, 364/363, 676/675
Mapping: [⟨2 4 6 8 9 10], ⟨0 -8 -13 -23 -20 -25]]
POTE generator: ~28/27 = 62.301
Optimal GPV sequence: Template:Val list
Badness: 0.028795
Rhinoceros
Subgroup: 2.3.5.7
Comma list: 49/48, 4375/4374
Mapping: [⟨1 2 3 3], ⟨0 -8 -13 -4]]
Wedgie: ⟨⟨ 8 13 4 2 -16 -27 ]]
POTE generator: ~21/20 = 62.920
Badness: 0.081864
11-limit
Subgroup: 2.3.5.7.11
Comma list: 49/48, 100/99, 126/121
Mapping: [⟨1 2 3 3 4], ⟨0 -8 -13 -4 -10]]
POTE generator: ~21/20 = 62.874
Optimal GPV sequence: Template:Val list
Badness: 0.059319
13-limit
Subgroup: 2.3.5.7.11.13
Comma list: 49/48, 78/77, 100/99, 126/121
Mapping: [⟨1 2 3 3 4 4], ⟨0 -8 -13 -4 -10 -6]]
POTE generator: ~21/20 = 63.043
Optimal GPV sequence: Template:Val list
Badness: 0.039343