Amity family: Difference between revisions
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[[Comma list]]: 1600000/1594323 | [[Comma list]]: 1600000/1594323 | ||
[[Mapping]]: [{{val| 1 3 6 }}, {{val| 0 -5 -13 }} | [[Mapping]]: [{{val| 1 3 6 }}, {{val| 0 -5 -13 }}] | ||
Mapping generators: ~2, ~243/200 | Mapping generators: ~2, ~243/200 | ||
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[[Comma list]]: 4375/4374, 5120/5103 | [[Comma list]]: 4375/4374, 5120/5103 | ||
[[Mapping]]: [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }} | [[Mapping]]: [{{val| 1 3 6 -2 }}, {{val| 0 -5 -13 17 }}] | ||
{{Multival|legend=1| 5 13 -17 9 -41 -76 }} | {{Multival|legend=1| 5 13 -17 9 -41 -76 }} | ||
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Comma list: 540/539, 4375/4374, 5120/5103 | Comma list: 540/539, 4375/4374, 5120/5103 | ||
Mapping: [{{val| 1 3 6 -2 21 }}, {{val| 0 -5 -13 17 -62 }} | Mapping: [{{val| 1 3 6 -2 21 }}, {{val| 0 -5 -13 17 -62 }}] | ||
POTE generator: ~128/105 = 339.464 | POTE generator: ~128/105 = 339.464 | ||
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Comma list: 352/351, 540/539, 625/624, 847/845 | Comma list: 352/351, 540/539, 625/624, 847/845 | ||
Mapping: [{{val| 1 3 6 -2 21 17 }}, {{val| 0 -5 -13 17 -62 -47 }} | Mapping: [{{val| 1 3 6 -2 21 17 }}, {{val| 0 -5 -13 17 -62 -47 }}] | ||
POTE generator: ~128/105 = 339.481 | POTE generator: ~128/105 = 339.481 | ||
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Comma list: 121/120, 176/175, 2200/2187 | Comma list: 121/120, 176/175, 2200/2187 | ||
Mapping: [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }} | Mapping: [{{val| 1 3 6 -2 6 }}, {{val| 0 -5 -13 17 -9 }}] | ||
POTE generator: ~11/9 = 339.390 | POTE generator: ~11/9 = 339.390 | ||
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Comma list: 121/120, 169/168, 176/175, 325/324 | Comma list: 121/120, 169/168, 176/175, 325/324 | ||
Mapping: [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }} | Mapping: [{{val| 1 3 6 -2 6 2 }}, {{val| 0 -5 -13 17 -9 6 }}] | ||
POTE generator: ~11/9 = 339.419 | POTE generator: ~11/9 = 339.419 | ||
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Badness: 0.022448 | Badness: 0.022448 | ||
==== 17-limit ==== | |||
Subgroup: 2.3.5.7.11.13.17 | |||
Comma list: 121/120, 154/153, 169/168, 176/175, 273/272 | |||
Mapping: [{{val| 1 3 6 -2 6 2 -1 }}, {{val| 0 -5 -13 17 -9 6 18 }}] | |||
POTE generator: ~11/9 = 339.366 | |||
Vals: {{Val list| 7, 39, 46, 53, 99 }} | |||
Badness: 0.019395 | |||
=== Hemiamity === | === Hemiamity === | ||
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Comma list: 3025/3024, 4375/4374, 5120/5103 | Comma list: 3025/3024, 4375/4374, 5120/5103 | ||
Mapping: [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14 }} | Mapping: [{{val| 2 1 -1 13 13 }}, {{val| 0 5 13 -17 -14 }}] | ||
Mapping generators: ~99/70, ~64/55 | Mapping generators: ~99/70, ~64/55 | ||
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[[Comma list]]: 126/125, 100352/98415 | [[Comma list]]: 126/125, 100352/98415 | ||
[[Mapping]]: [{{val| 1 3 6 11 }}, {{val| 0 -5 -13 -29 }} | [[Mapping]]: [{{val| 1 3 6 11 }}, {{val| 0 -5 -13 -29 }}] | ||
{{Multival|legend=1| 5 13 29 9 32 31 }} | {{Multival|legend=1| 5 13 29 9 32 31 }} | ||
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Comma list: 121/120, 126/125, 896/891 | Comma list: 121/120, 126/125, 896/891 | ||
Mapping: [{{val| 1 3 6 11 6 }}, {{val| 0 -5 -13 -29 -9 }} | Mapping: [{{val| 1 3 6 11 6 }}, {{val| 0 -5 -13 -29 -9 }}] | ||
POTE generator: ~11/9 = 339.047 | POTE generator: ~11/9 = 339.047 | ||
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[[Comma list]]: 225/224, 1250000/1240029 | [[Comma list]]: 225/224, 1250000/1240029 | ||
[[Mapping]]: [{{val| 1 3 6 13 }}, {{val| 0 -5 -13 -36 }} | [[Mapping]]: [{{val| 1 3 6 13 }}, {{val| 0 -5 -13 -36 }}] | ||
{{Multival|legend=1| 5 13 36 9 43 47 }} | {{Multival|legend=1| 5 13 36 9 43 47 }} | ||
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Comma list: 225/224, 385/384, 1250000/1240029 | Comma list: 225/224, 385/384, 1250000/1240029 | ||
Mapping: [{{val| 1 3 6 13 -9 }}, {{val| 0 -5 -13 -36 44 }} | Mapping: [{{val| 1 3 6 13 -9 }}, {{val| 0 -5 -13 -36 44 }}] | ||
POTE generator: ~243/200 = 339.763 | POTE generator: ~243/200 = 339.763 | ||
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Comma list: 225/224, 325/324, 385/384, 2200/2197 | Comma list: 225/224, 325/324, 385/384, 2200/2197 | ||
Mapping: [{{val| 1 3 6 13 -9 2 }}, {{val| 0 -5 -13 -36 44 6 }} | Mapping: [{{val| 1 3 6 13 -9 2 }}, {{val| 0 -5 -13 -36 44 6 }}] | ||
POTE generator: ~39/32 = 339.764 | POTE generator: ~39/32 = 339.764 | ||
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Comma list: 121/120, 225/224, 2200/2187 | Comma list: 121/120, 225/224, 2200/2187 | ||
Mapping: [{{val| 1 3 6 13 6 }}, {{val| 0 -5 -13 -36 -9 }} | Mapping: [{{val| 1 3 6 13 6 }}, {{val| 0 -5 -13 -36 -9 }}] | ||
POTE generator: ~11/9 = 339.814 | POTE generator: ~11/9 = 339.814 | ||
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Comma list: 121/120, 225/224, 275/273, 325/324 | Comma list: 121/120, 225/224, 275/273, 325/324 | ||
Mapping: [{{val| 1 3 6 13 6 2 }}, {{val| 0 -5 -13 -36 -9 6 }} | Mapping: [{{val| 1 3 6 13 6 2 }}, {{val| 0 -5 -13 -36 -9 6 }}] | ||
POTE generator: ~11/9 = 339.784 | POTE generator: ~11/9 = 339.784 | ||
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[[Comma list]]: 245/243, 64827/64000 | [[Comma list]]: 245/243, 64827/64000 | ||
[[Mapping]]: [{{val| 2 1 -1 3 }}, {{val| 0 5 13 6 }} | [[Mapping]]: [{{val| 2 1 -1 3 }}, {{val| 0 5 13 6 }}] | ||
Mapping generators: ~343/240, ~7/6 | Mapping generators: ~343/240, ~7/6 | ||
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Comma list: 121/120, 245/243, 441/440 | Comma list: 121/120, 245/243, 441/440 | ||
Mapping: [{{val| 2 1 -1 3 3 }}, {{val| 0 5 13 6 9 }} | Mapping: [{{val| 2 1 -1 3 3 }}, {{val| 0 5 13 6 9 }}] | ||
Mapping generators: ~99/70, ~7/6 | Mapping generators: ~99/70, ~7/6 | ||
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Comma list: 91/90, 121/120, 245/243, 441/440 | Comma list: 91/90, 121/120, 245/243, 441/440 | ||
Mapping: [{{val| 2 1 -1 3 3 0 }}, {{val| 0 5 13 6 9 17 }} | Mapping: [{{val| 2 1 -1 3 3 0 }}, {{val| 0 5 13 6 9 17 }}] | ||
Mapping generators: ~55/39, ~7/6 | Mapping generators: ~55/39, ~7/6 | ||
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[[Comma list]]: 2430/2401, 4000/3969 | [[Comma list]]: 2430/2401, 4000/3969 | ||
[[Mapping]]: [{{val| 1 -2 -7 -4 }}, {{val| 0 10 26 19 }} | [[Mapping]]: [{{val| 1 -2 -7 -4 }}, {{val| 0 10 26 19 }}] | ||
{{Multival|legend=1| 10 26 19 18 2 -29 }} | {{Multival|legend=1| 10 26 19 18 2 -29 }} | ||
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Comma list: 99/98, 121/120, 2200/2187 | Comma list: 99/98, 121/120, 2200/2187 | ||
Mapping: [{{val| 1 -2 -7 -4 -3 }}, {{val| 0 10 26 19 18 }} | Mapping: [{{val| 1 -2 -7 -4 -3 }}, {{val| 0 10 26 19 18 }}] | ||
POTE generator: ~9/7 = 430.192 | POTE generator: ~9/7 = 430.192 | ||
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Comma list: 99/98, 121/120, 275/273, 572/567 | Comma list: 99/98, 121/120, 275/273, 572/567 | ||
Mapping: [{{val| 1 -2 -7 -4 -3 -11 }}, {{val| 0 10 26 19 18 41 }} | Mapping: [{{val| 1 -2 -7 -4 -3 -11 }}, {{val| 0 10 26 19 18 41 }}] | ||
POTE generator: ~9/7 = 430.216 | POTE generator: ~9/7 = 430.216 | ||
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[[Comma list]]: 1029/1024, 1071875/1062882 | [[Comma list]]: 1029/1024, 1071875/1062882 | ||
[[Mapping]]: [{{val| 1 -2 -7 4 }}, {{val| 0 15 39 -5 }} | [[Mapping]]: [{{val| 1 -2 -7 4 }}, {{val| 0 15 39 -5 }}] | ||
{{Multival|legend=1| 15 39 -5 27 -50 -121 }} | {{Multival|legend=1| 15 39 -5 27 -50 -121 }} | ||
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Comma list: 385/384, 441/440, 1071875/1062882 | Comma list: 385/384, 441/440, 1071875/1062882 | ||
Mapping: [{{val| 1 -2 -7 4 8 }}, {{val| 0 15 39 -5 -19 }} | Mapping: [{{val| 1 -2 -7 4 8 }}, {{val| 0 15 39 -5 -19 }}] | ||
POTE generator: ~33/28 = 286.797 | POTE generator: ~33/28 = 286.797 | ||
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Comma list: 325/324, 364/363, 385/384, 10985/10976 | Comma list: 325/324, 364/363, 385/384, 10985/10976 | ||
Mapping: [{{val| 1 -2 -7 4 8 8 }}, {{val| 0 15 39 -5 -19 -18 }} | Mapping: [{{val| 1 -2 -7 4 8 8 }}, {{val| 0 15 39 -5 -19 -18 }}] | ||
POTE generator: ~13/11 = 286.789 | POTE generator: ~13/11 = 286.789 | ||
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Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757 | Comma list: 273/272, 325/324, 364/363, 385/384, 3773/3757 | ||
Mapping: [{{val| 1 -2 -7 4 8 8 6 }}, {{val| 0 15 39 -5 -19 -18 -8 }} | Mapping: [{{val| 1 -2 -7 4 8 8 6 }}, {{val| 0 15 39 -5 -19 -18 -8 }}] | ||
POTE generator: ~13/11 = 286.795 | POTE generator: ~13/11 = 286.795 | ||
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[[Comma list]]: 16875/16807, 1600000/1594323 | [[Comma list]]: 16875/16807, 1600000/1594323 | ||
[[Mapping]]: [{{val| 1 8 19 20 }}, {{val| 0 -25 -65 -67 }} | [[Mapping]]: [{{val| 1 8 19 20 }}, {{val| 0 -25 -65 -67 }}] | ||
{{Multival|legend=1| 25 65 67 45 36 -27 }} | {{Multival|legend=1| 25 65 67 45 36 -27 }} | ||
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Comma list: 540/539, 1375/1372, 1600000/1594323 | Comma list: 540/539, 1375/1372, 1600000/1594323 | ||
Mapping: [{{val| 1 8 19 20 5 }}, {{val| 0 -25 -65 -67 -6 }} | Mapping: [{{val| 1 8 19 20 5 }}, {{val| 0 -25 -65 -67 -6 }}] | ||
POTE generator: ~3200/2673 = 307.906 | POTE generator: ~3200/2673 = 307.906 | ||