Schismatic family: Difference between revisions

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@@ Line 106: / Line 106: @@
 Mapping: [{{val| 1 0 15 25 -33 -28 }}, {{val| 0 1 -8 -14 23 20 }}]
-Mapping generators: ~2, ~3
 POTE generator: ~3/2 = 702.113
@@ Line 155: / Line 153: @@
 Mapping: [{{val| 1 0 15 25 32 37 }}, {{val| 0 1 -8 -14 -18 -21 }}]
-Mapping generators: ~2, ~3
 POTE generator: ~3/2 = 702.559
@@ Line 198: / Line 194: @@
 Comma list: 99/98, 176/175, 275/273, 847/845
-Mapping: [{{val| 1 0 15 25 51 56 }}, {{val| 0 1 -8 -14 -30 -33 }}]
+Mapping: [{{val| 1 0 15 25 51 56 }}, {{val| 0 1 -8 -14 -30 -33 }}
-Mapping generators: ~2, ~3
 POTE generator: ~3/2 = 701.747
@@ Line 211: / Line 205: @@
 Badness: 0.026284
+==== 17-limit ====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 99/98, 120/119, 176/175, 275/273, 442/441
+Mapping: [{{val| 1 0 15 25 51 56 -7 }}, {{val| 0 1 -8 -14 -30 -33 7 }}
+POTE generator: ~3/2 = 701.680
+Optimal GPV sequence: {{Val list| 12f, 41ef, 53, 65d, 118dg }}
+Badness: 0.023732
+==== 19-limit ====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 99/98, 120/119, 176/175, 190/189, 209/208, 247/245
+Mapping: [{{val| 1 0 15 25 51 56 -7 9 }}, {{val| 0 1 -8 -14 -30 -33 7 -3 }}
+POTE generator: ~3/2 = 701.705
+Optimal GPV sequence: {{Val list| 12f, 41ef, 53, 65d, 118dg }}
+Badness: 0.019411
 === Hemigari ===
@@ Line 597: / Line 617: @@
 Comma list: 3025/3024, 4375/4374, 32805/32768
-Mapping: [{{val|2 3 6 -1 2}}, {{val|0 1 -8 39 29}}]
+Mapping: [{{val| 2 0 30 -118 -85 }}, {{val| 0 1 -8 39 29 }}]
+Mapping generators: ~99/70, ~3
 POTE generator: ~3/2 = 701.757
@@ Line 610: / Line 632: @@
 Comma list: 625/624, 729/728, 1575/1573, 4096/4095
-Mapping: [{{val|2 3 6 -1 2 13}}, {{val|0 1 -8 39 29 -33}}]
+Mapping: [{{val| 2 0 30 -118 -85 112 }}, {{val| 0 1 -8 39 29 -33 }}]
+Mapping generators: ~99/70, ~3
 POTE generator: ~3/2 = 701.773
@@ Line 623: / Line 647: @@
 Comma list: 625/624, 729/728, 1089/1088, 1225/1224, 2880/2873
-Mapping: [{{val|2 3 6 -1 2 13 -2}}, {{val|0 1 -8 39 29 -33 60}}]
+Mapping: [{{val| 2 0 30 -118 -85 112 -182 }}, {{val| 0 1 -8 39 29 -33 60 }}]
 POTE generator: ~3/2 = 701.765
@@ Line 636: / Line 660: @@
 Comma list: 1716/1715, 2080/2079, 3025/3024, 32805/32768
-Mapping: [{{val|2 3 6 -1 2 -6}}, {{val|0 1 -8 39 29 79}}]
+Mapping: [{{val| 2 0 30 -118 -85 -243 }}, {{val| 0 1 -8 39 29 79 }}]
+Mapping generators: ~99/70, ~3
 POTE generator: ~3/2 = 701.769
@@ Line 649: / Line 675: @@
 Comma list: 715/714, 936/935, 1089/1088, 1225/1224, 32805/32768
-Mapping: [{{val|2 3 6 -1 2 -6 -2}}, {{val|0 1 -8 39 29 79 60}}]
+Mapping: [{{val| 2 0 30 -118 -85 -243 -182 }}, {{val| 0 1 -8 39 29 79 60 }}]
 POTE generator: ~3/2 = 701.764
@@ Line 662: / Line 688: @@
 Comma list: 3025/3024, 4225/4224, 4375/4374, 32805/32768
-Mapping: [{{val|4 6 12 -2 4 7}}, {{val|0 1 -8 39 29 23}}]
+Mapping: [{{val|4 0 60 -236 -170 -131}}, {{val|0 1 -8 39 29 23}}]
+Mapping generators: ~208/175, ~3
 POTE generator: ~3/2 = 701.756
@@ Line 716: / Line 744: @@
 Badness: 0.037859
+===== 17-limit =====
+Subgroup: 2.3.5.7.11.13.17
+Comma list: 126/125, 176/175, 196/195, 256/255, 2904/2873
+Mapping: [{{val| 1 0 15 44 70 75 -7 }}, {{val| 0 1 -8 -26 -42 -45 7 }}]
+POTE generator: ~3/2 = 701.206
+Optimal GPV sequence: {{Val list| 12f, 53deeff, 65ef, 77, 89f, 166cf }}
+Badness: 0.029864
+===== 19-limit =====
+Subgroup: 2.3.5.7.11.13.17.19
+Comma list: 126/125, 171/170, 176/175, 196/195, 209/208, 324/323
+Mapping: [{{val| 1 0 15 44 70 75 -7 9 }}, {{val| 0 1 -8 -26 -42 -45 7 -3 }}]
+POTE generator: ~3/2 = 701.217
+Optimal GPV sequence: {{Val list| 12f, 53deeff, 65ef, 77, 166cf }}
+Badness: 0.023096
 ==== Grackloid ====