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Loading file "L14n23791__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n23791 geometric_solution 10.57310469 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -2 3 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.078673900451 0.713055098802 0 3 6 5 0132 1023 0132 0132 0 0 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.169045453423 0.743957655387 7 0 8 6 0132 0132 0132 3120 0 0 1 1 0 0 0 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 2 0 0 -2 0 1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.217530993869 0.700170234629 1 4 7 0 1023 1023 1023 0132 0 0 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751454537939 1.352859336586 3 7 0 6 1023 0132 0132 0321 0 0 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.751454537939 1.352859336586 9 9 1 8 0132 1302 0132 1302 0 0 0 1 0 1 -1 0 0 0 0 0 0 -1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 0 0 0 0 0 0 -3 0 3 13 -12 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316223352985 0.519422794500 2 4 10 1 3120 0321 0132 0132 0 0 1 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 2 0 -2 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179270263027 0.675278761369 2 4 3 10 0132 0132 1023 2031 0 0 1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.368400936889 0.399180215876 10 11 5 2 2031 0132 2031 0132 0 0 1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 -3 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825649496969 0.252229382809 5 11 11 5 0132 2031 1230 2031 0 0 1 0 0 -1 0 1 0 0 1 -1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 3 0 0 3 -3 -13 1 0 12 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927342705606 0.704444853020 11 7 8 6 2103 1302 1302 0132 0 0 0 1 0 0 0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.060319796516 0.944031761547 9 8 10 9 1302 0132 2103 3012 0 0 0 1 0 -1 0 1 -1 0 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 -2 0 2 0 3 0 0 -3 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.927342705606 0.704444853020 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0101_2'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0011_10'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0011_6']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_10'], 'c_1001_9' : d['c_0101_6'], 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : d['c_1001_6'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_8'], 'c_1100_4' : d['c_1001_6'], 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : d['c_0101_8'], 'c_1100_1' : d['c_0101_8'], 'c_1100_0' : d['c_1001_6'], 'c_1100_3' : d['c_1001_6'], 'c_1100_2' : negation(d['c_0101_6']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_6']), 'c_1100_10' : d['c_0101_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : negation(d['c_0011_6']), 'c_1010_2' : negation(d['c_0011_6']), 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_10'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0101_6']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_9'], 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0101_8, c_0101_9, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 22266433/6663680*c_1001_6^8 + 183812977/6663680*c_1001_6^7 - 3301809549/26654720*c_1001_6^6 + 8941226569/26654720*c_1001_6^5 - 3942417959/6663680*c_1001_6^4 + 18261960113/26654720*c_1001_6^3 - 817843627/1665920*c_1001_6^2 + 5161656253/26654720*c_1001_6 - 939181047/26654720, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1471/5206*c_1001_6^8 + 6001/2603*c_1001_6^7 - 217743/20824*c_1001_6^6 + 299993/10412*c_1001_6^5 - 1108347/20824*c_1001_6^4 + 347053/5206*c_1001_6^3 - 1156329/20824*c_1001_6^2 + 73922/2603*c_1001_6 - 19293/2603, c_0011_6 - 135/2603*c_1001_6^8 + 2049/5206*c_1001_6^7 - 18787/10412*c_1001_6^6 + 103305/20824*c_1001_6^5 - 49545/5206*c_1001_6^4 + 246599/20824*c_1001_6^3 - 23304/2603*c_1001_6^2 + 65541/20824*c_1001_6 + 642/2603, c_0101_0 - 1, c_0101_1 - 135/2603*c_1001_6^8 + 2049/5206*c_1001_6^7 - 18787/10412*c_1001_6^6 + 103305/20824*c_1001_6^5 - 49545/5206*c_1001_6^4 + 246599/20824*c_1001_6^3 - 23304/2603*c_1001_6^2 + 65541/20824*c_1001_6 + 642/2603, c_0101_2 - 4677/5206*c_1001_6^8 + 78969/10412*c_1001_6^7 - 719353/20824*c_1001_6^6 + 3972865/41648*c_1001_6^5 - 1789343/10412*c_1001_6^4 + 8529287/41648*c_1001_6^3 - 1600305/10412*c_1001_6^2 + 2762425/41648*c_1001_6 - 72681/5206, c_0101_3 - 5781/5206*c_1001_6^8 + 45867/5206*c_1001_6^7 - 807509/20824*c_1001_6^6 + 2122939/20824*c_1001_6^5 - 3652373/20824*c_1001_6^4 + 4094697/20824*c_1001_6^3 - 2837199/20824*c_1001_6^2 + 1091553/20824*c_1001_6 - 24952/2603, c_0101_6 + 5439/10412*c_1001_6^8 - 22677/5206*c_1001_6^7 + 820999/41648*c_1001_6^6 - 1126193/20824*c_1001_6^5 + 4046889/41648*c_1001_6^4 - 2421487/20824*c_1001_6^3 + 3669323/41648*c_1001_6^2 - 202595/5206*c_1001_6 + 22774/2603, c_0101_8 - 5511/5206*c_1001_6^8 + 21909/2603*c_1001_6^7 - 769935/20824*c_1001_6^6 + 1009817/10412*c_1001_6^5 - 3454193/20824*c_1001_6^4 + 1924049/10412*c_1001_6^3 - 2650767/20824*c_1001_6^2 + 256503/5206*c_1001_6 - 25594/2603, c_0101_9 + 14209/10412*c_1001_6^8 - 57545/5206*c_1001_6^7 + 2046857/41648*c_1001_6^6 - 2737277/20824*c_1001_6^5 + 9573019/41648*c_1001_6^4 - 5522859/20824*c_1001_6^3 + 7965861/41648*c_1001_6^2 - 416029/5206*c_1001_6 + 45608/2603, c_1001_6^9 - 9*c_1001_6^8 + 173/4*c_1001_6^7 - 513/4*c_1001_6^6 + 253*c_1001_6^5 - 1361/4*c_1001_6^4 + 306*c_1001_6^3 - 701/4*c_1001_6^2 + 239/4*c_1001_6 - 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB