Canou family: Difference between revisions
Sort by strong/weak extension |
+19-limit extensions to semicanou, and misc cleanup |
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POTE generators: ~3/2 = 702.1807, ~81/70 = 254.6239 | POTE generators: ~3/2 = 702.1807, ~81/70 = 254.6239 | ||
Optimal GPV sequence: {{val list| 94, 118f, 193f, 212, 217, 311, 740, 1051d }} | |||
Badness: 2.555 × 10<sup>-3</sup> | Badness: 2.555 × 10<sup>-3</sup> | ||
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POTE generators: ~3/2 = 703.8423, ~15/13 = 254.3605 | POTE generators: ~3/2 = 703.8423, ~15/13 = 254.3605 | ||
Optimal GPV sequence: {{val list| 75ef, 80, 99e, 104c, 179e, 184c, 203ce }} | |||
Badness: 3.470 × 10<sup>-3</sup> | Badness: 3.470 × 10<sup>-3</sup> | ||
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POTE generators: ~3/2 = 703.8695, ~64/55 = 254.6321 | POTE generators: ~3/2 = 703.8695, ~64/55 = 254.6321 | ||
Optimal GPV sequence: {{val list| 75e, 80, 99ef, 179ef }} | |||
Badness: 4.781 × 10<sup>-3</sup> | Badness: 4.781 × 10<sup>-3</sup> | ||
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Mapping generators: ~99/70, ~3, ~81/70 | Mapping generators: ~99/70, ~3, ~81/70 | ||
[[POTE generator]]s: ~3/2 = 702.3850, ~81/70 = 254.6168 | [[POTE generator]]s: ~3/2 = 702.3850, ~81/70 = 254.6168 | ||
{{Val list|legend=1| 80, 94, 118, 198, 212, 292, 330e, 410 }} | {{Val list|legend=1| 80, 94, 118, 198, 212, 292, 330e, 410 }} | ||
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Mapping: [{{val| 2 0 0 -2 1 -11 }}, {{val| 0 1 2 2 2 5 }}, {{val| 0 0 -4 3 -1 6 }}] | Mapping: [{{val| 2 0 0 -2 1 -11 }}, {{val| 0 1 2 2 2 5 }}, {{val| 0 0 -4 3 -1 6 }}] | ||
POTE generators: ~3/2 = 702.5046, ~81/70 = 254.6501 | POTE generators: ~3/2 = 702.5046, ~81/70 = 254.6501 | ||
Optimal GPV sequence: {{val list| 80f, 94, 118f, 198, 410 }} | |||
Badness: 2.974 × 10<sup>-3</sup> | Badness: 2.974 × 10<sup>-3</sup> | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 715/714, 1089/1088, 1225/1224, 14641/14580 | |||
Mapping: [{{val| 2 0 0 -2 1 -11 -10 }}, {{val| 0 1 2 2 2 5 6 }}, {{val| 0 0 -4 3 -1 6 -2 }}] | |||
POTE generators: ~3/2 = 702.4241, ~81/70 = 254.6672 | |||
Optimal GPV sequence: {{val list| 94, 118f, 198g, 212g, 292, 410 }} | |||
Badness: 2.421 × 10<sup>-3</sup> | |||
==== 19-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17.19 | |||
Comma list: 715/714, 1089/1088, 1216/1215, 1225/1224, 1445/1444 | |||
Mapping: [{{val| 2 0 0 -2 1 -11 -10 -12 }}, {{val| 0 1 2 2 2 5 6 7 }}, {{val| 0 0 -4 3 -1 6 -2 -4 }}] | |||
POTE generators: ~3/2 = 702.3551, ~81/70 = 254.6866 | |||
Optimal GPV sequence: {{val list| 94, 118f, 198gh, 212gh, 292h, 410, 622ef }} | |||
Badness: 2.177 × 10<sup>-3</sup> | |||
=== Semicanoumint === | === Semicanoumint === | ||
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POTE generators: ~3/2 = 702.8788, ~81/70 = 254.6664 or ~11/9 = 345.3336 | POTE generators: ~3/2 = 702.8788, ~81/70 = 254.6664 or ~11/9 = 345.3336 | ||
Optimal GPV sequence: {{val list| 80, 94, 118, 174d, 198, 490f }} | |||
Badness: 2.701 × 10<sup>-3</sup> | Badness: 2.701 × 10<sup>-3</sup> | ||
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POTE generators: ~3/2 = 702.7876, ~15/13 = 254.3411 or ~11/9 = 345.6789 | POTE generators: ~3/2 = 702.7876, ~15/13 = 254.3411 or ~11/9 = 345.6789 | ||
Optimal GPV sequence: {{val list| 80, 104c, 118f, 198f, 420cff }} | |||
Badness: 3.511 × 10<sup>-3</sup> | Badness: 3.511 × 10<sup>-3</sup> |