Magma V2.19-8 Wed Aug 21 2013 00:56:45 on localhost [Seed = 3717973788] Type ? for help. Type -D to quit. Loading file "L13n2865__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n2865 geometric_solution 12.28115315 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 0 1 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 1 -1 0 1 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 0.791666916412 0.811421135723 0 4 0 5 0132 0132 0213 0132 0 1 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 0 0 0 0 -1 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 0.387765035923 0.410438986171 5 6 7 0 0132 0132 0132 0132 0 1 1 1 0 1 0 -1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -1 2 0 0 1 -1 0 0 0 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545423397097 0.534811773932 8 9 0 10 0132 0132 0132 0132 0 1 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 -1 1 0 0 0 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 0.449946140486 0.628041635576 8 1 11 6 3012 0132 0132 0132 0 1 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 0 0 0 0 0 0 0 0 0 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 0.427000716017 0.947281163243 2 12 1 7 0132 0132 0132 0321 0 1 1 1 0 0 0 0 0 0 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 -1 1 0 0 0 0 -11 10 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.222453166506 1.414421164630 8 2 4 12 1302 0132 0132 0132 0 1 1 1 0 -1 0 1 0 0 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 1 0 -1 0 0 0 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.600792250211 0.461720206552 10 5 9 2 0321 0321 0132 0132 0 1 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 0 0 0 -1 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.865083819808 0.906473404348 3 6 9 4 0132 2031 3201 1230 1 1 1 1 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 11 -11 0 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 0.288049769248 0.814859814688 8 3 11 7 2310 0132 0321 0132 0 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 11 -1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.496797936178 0.859406684568 7 12 3 11 0321 0321 0132 0321 0 1 1 1 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 1 -1 0 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 1.045725271678 1.092264910065 12 10 9 4 0321 0321 0321 0132 0 1 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 -10 0 10 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 0.702895050661 0.779251089741 11 5 6 10 0321 0132 0132 0321 0 1 1 1 0 0 -1 1 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.733120176211 1.184617665387 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_3'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_12'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_1001_4'], 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_1001_4'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(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_12' : 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' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_3'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : d['c_1001_11'], 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1001_11'], 'c_1100_3' : d['c_1001_11'], 'c_1100_2' : d['c_1001_11'], 's_0_10' : d['1'], 'c_1100_11' : d['c_1001_10'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_12'], 'c_1010_6' : d['c_1001_12'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_10'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_12']), 'c_1100_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : d['c_0011_12'], 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_11']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : negation(d['c_0101_10']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_12']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : d['c_0011_0'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_10'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_11'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_11, c_1001_0, c_1001_10, c_1001_11, c_1001_12, c_1001_3, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 197821113/62801*c_1001_4^8 - 279582937/62801*c_1001_4^7 + 1063858141/125602*c_1001_4^6 - 1335507819/251204*c_1001_4^5 + 3053422825/502408*c_1001_4^4 - 2167264747/502408*c_1001_4^3 - 17787269/502408*c_1001_4^2 - 741273805/125602*c_1001_4 - 318518289/502408, c_0011_0 - 1, c_0011_10 + 108772/62801*c_1001_4^8 - 248468/62801*c_1001_4^7 + 429522/62801*c_1001_4^6 - 429803/62801*c_1001_4^5 + 640377/125602*c_1001_4^4 - 409035/125602*c_1001_4^3 - 97091/125602*c_1001_4^2 - 31431/62801*c_1001_4 + 96071/125602, c_0011_12 + 108136/62801*c_1001_4^8 - 270664/62801*c_1001_4^7 + 511980/62801*c_1001_4^6 - 551206/62801*c_1001_4^5 + 496209/62801*c_1001_4^4 - 376637/62801*c_1001_4^3 + 134340/62801*c_1001_4^2 - 120473/62801*c_1001_4 + 30697/62801, c_0011_3 + 95092/62801*c_1001_4^8 - 214004/62801*c_1001_4^7 + 458938/62801*c_1001_4^6 - 557511/62801*c_1001_4^5 + 1283141/125602*c_1001_4^4 - 1125707/125602*c_1001_4^3 + 660889/125602*c_1001_4^2 - 298444/62801*c_1001_4 + 125129/125602, c_0101_0 + 15280/62801*c_1001_4^8 + 5576/62801*c_1001_4^7 - 9352/62801*c_1001_4^6 + 61848/62801*c_1001_4^5 - 55616/62801*c_1001_4^4 + 53923/62801*c_1001_4^3 - 106006/62801*c_1001_4^2 - 57997/62801*c_1001_4 - 51485/62801, c_0101_10 - 31288/62801*c_1001_4^8 + 108792/62801*c_1001_4^7 - 171292/62801*c_1001_4^6 + 138634/62801*c_1001_4^5 + 23593/62801*c_1001_4^4 - 152403/62801*c_1001_4^3 + 258623/62801*c_1001_4^2 - 210274/62801*c_1001_4 + 58240/62801, c_0101_11 + 18244/62801*c_1001_4^8 - 52132/62801*c_1001_4^7 + 118250/62801*c_1001_4^6 - 144939/62801*c_1001_4^5 + 243537/125602*c_1001_4^4 - 67627/125602*c_1001_4^3 - 125037/125602*c_1001_4^2 + 95104/62801*c_1001_4 - 178347/125602, c_1001_0 - 1, c_1001_10 - 84316/62801*c_1001_4^8 + 144548/62801*c_1001_4^7 - 263518/62801*c_1001_4^6 + 183025/62801*c_1001_4^5 - 342171/125602*c_1001_4^4 + 235023/125602*c_1001_4^3 - 28387/125602*c_1001_4^2 + 141114/62801*c_1001_4 - 37621/125602, c_1001_11 - 51416/62801*c_1001_4^8 + 57256/62801*c_1001_4^7 - 102156/62801*c_1001_4^6 + 37698/62801*c_1001_4^5 - 36507/62801*c_1001_4^4 + 63543/62801*c_1001_4^3 + 9751/62801*c_1001_4^2 + 122852/62801*c_1001_4 - 9406/62801, c_1001_12 - 54380/62801*c_1001_4^8 + 114964/62801*c_1001_4^7 - 229758/62801*c_1001_4^6 + 244485/62801*c_1001_4^5 - 427783/125602*c_1001_4^4 + 302559/125602*c_1001_4^3 - 67473/125602*c_1001_4^2 + 95353/62801*c_1001_4 - 69037/125602, c_1001_3 + 15280/62801*c_1001_4^8 + 5576/62801*c_1001_4^7 - 9352/62801*c_1001_4^6 + 61848/62801*c_1001_4^5 - 55616/62801*c_1001_4^4 + 53923/62801*c_1001_4^3 - 106006/62801*c_1001_4^2 + 4804/62801*c_1001_4 - 51485/62801, c_1001_4^9 - 2*c_1001_4^8 + 7/2*c_1001_4^7 - 13/4*c_1001_4^6 + 23/8*c_1001_4^5 - 5/2*c_1001_4^4 + 3/4*c_1001_4^3 - 15/8*c_1001_4^2 + 7/8*c_1001_4 + 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.400 Total time: 0.610 seconds, Total memory usage: 32.09MB