Magma V2.19-8 Wed Aug 21 2013 00:59:22 on localhost [Seed = 1091000850] Type ? for help. Type -D to quit. Loading file "L13n6831__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6831 geometric_solution 11.81741481 oriented_manifold CS_known 0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 2 2 0 0 0 0 1 0 1 -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 1 -1 -1 0 0 1 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936614056459 0.868682530033 0 5 4 6 0132 0132 0213 0132 2 0 2 2 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 1 -1 1 0 -1 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 0.614368194490 0.626426978086 5 0 5 6 2031 0132 0132 2031 2 2 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 0 0 0 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 0.806753498311 0.688457876912 7 8 7 0 0132 0132 3012 0132 2 0 2 1 0 0 0 0 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 1 -1 0 0 0 0 -1 0 0 1 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.687374303816 0.872570697733 9 1 0 10 0132 0213 0132 0132 2 0 0 2 0 0 0 0 0 0 2 -2 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 1 0 0 0 -1 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 0.528354429373 0.351224720367 11 1 2 2 0132 0132 1302 0132 2 2 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447109448722 0.236958799650 12 2 1 11 0132 1302 0132 3012 2 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 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 0 0 0 0 0.532898354403 0.365342858015 3 3 12 10 0132 1230 0132 3120 0 0 1 2 0 -1 -1 2 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 -2 1 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.363892955992 1.015662929776 10 3 12 10 3120 0132 3012 0321 2 0 1 2 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 0 0 0 -1 0 0 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442908756832 0.707186015034 4 11 12 11 0132 3120 3120 1023 2 0 2 0 0 0 0 0 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 0 0 0 0 0 0 0 1 8 0 -9 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040411608169 1.158755161820 7 8 4 8 3120 0321 0132 3120 2 0 1 0 0 0 0 0 0 0 2 -2 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 -1 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 0.687374303816 0.872570697733 5 9 6 9 0132 3120 1230 1023 0 2 2 2 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 -1 -8 0 9 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.040411608169 1.158755161820 6 8 9 7 0132 1230 3120 0132 0 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.711103811004 1.199565351768 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : negation(d['c_1001_10']), 'c_1001_5' : d['c_0110_2'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_0110_2'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_12']), 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_0101_8'], 'c_1010_11' : d['c_0011_4'], 'c_1010_10' : d['c_0011_3'], 's_0_10' : d['1'], 's_0_11' : negation(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' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : negation(d['1']), 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : d['c_1001_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_1001_10'], 'c_1100_1' : d['c_1001_10'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : d['c_0101_11'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0101_8']), 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_12']), 'c_1010_2' : negation(d['c_0011_12']), 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_0'], 'c_1010_8' : d['c_0011_3'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_0'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_0'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : negation(d['c_0011_10']), 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_4'], 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_12']})} 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_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_0110_2, c_1001_1, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 7542162297/1294946039296*c_1001_1^8 - 23077516223/1294946039296*c_1001_1^7 - 18184900365/1294946039296*c_1001_1^6 + 50978599577/1294946039296*c_1001_1^5 + 106275776049/1294946039296*c_1001_1^4 - 688007235/323736509824*c_1001_1^3 - 6464349903/46248072832*c_1001_1^2 + 83847914873/1294946039296*c_1001_1 + 12885907075/92496145664, c_0011_0 - 1, c_0011_10 + 2453/1274192*c_1001_1^8 - 1887/1274192*c_1001_1^7 - 74457/1274192*c_1001_1^6 - 177035/1274192*c_1001_1^5 - 75319/1274192*c_1001_1^4 + 271361/637096*c_1001_1^3 + 157463/159274*c_1001_1^2 + 583779/1274192*c_1001_1 - 40713/159274, c_0011_12 + 885/79637*c_1001_1^8 + 6494/79637*c_1001_1^7 + 8719/79637*c_1001_1^6 - 4882/79637*c_1001_1^5 - 24187/79637*c_1001_1^4 + 14844/79637*c_1001_1^3 + 44120/79637*c_1001_1^2 - 28878/79637*c_1001_1 - 142539/79637, c_0011_3 - 1, c_0011_4 + 7839/318548*c_1001_1^8 + 35655/318548*c_1001_1^7 + 56713/318548*c_1001_1^6 + 6159/318548*c_1001_1^5 - 131093/318548*c_1001_1^4 - 91643/159274*c_1001_1^3 - 33229/79637*c_1001_1^2 - 191811/318548*c_1001_1 - 32793/79637, c_0101_0 - 1, c_0101_10 + 10067/159274*c_1001_1^8 + 44265/159274*c_1001_1^7 + 79923/159274*c_1001_1^6 + 15285/159274*c_1001_1^5 - 211061/159274*c_1001_1^4 - 177161/79637*c_1001_1^3 - 57714/79637*c_1001_1^2 + 257583/159274*c_1001_1 + 245232/79637, c_0101_11 + 11051/637096*c_1001_1^8 + 17471/637096*c_1001_1^7 - 30783/637096*c_1001_1^6 - 125661/637096*c_1001_1^5 - 144009/637096*c_1001_1^4 + 28699/318548*c_1001_1^3 + 477/79637*c_1001_1^2 - 205915/637096*c_1001_1 + 69033/79637, c_0101_12 + 3035/79637*c_1001_1^8 + 12372/79637*c_1001_1^7 + 22252/79637*c_1001_1^6 + 12503/79637*c_1001_1^5 - 24006/79637*c_1001_1^4 - 48978/79637*c_1001_1^3 - 31366/79637*c_1001_1^2 - 72038/79637*c_1001_1 - 116281/79637, c_0101_8 - 232/79637*c_1001_1^8 - 4042/79637*c_1001_1^7 - 18573/79637*c_1001_1^6 - 36694/79637*c_1001_1^5 - 8687/79637*c_1001_1^4 + 73856/79637*c_1001_1^3 + 117563/79637*c_1001_1^2 + 15399/79637*c_1001_1 - 90323/79637, c_0110_2 - 19653/637096*c_1001_1^8 - 45137/637096*c_1001_1^7 - 33807/637096*c_1001_1^6 + 37955/637096*c_1001_1^5 + 73871/637096*c_1001_1^4 - 16073/318548*c_1001_1^3 - 2340/79637*c_1001_1^2 + 398597/637096*c_1001_1 - 65182/79637, c_1001_1^9 + 4*c_1001_1^8 + 6*c_1001_1^7 - 2*c_1001_1^6 - 20*c_1001_1^5 - 19*c_1001_1^4 + 14*c_1001_1^3 + 15*c_1001_1^2 - 7*c_1001_1 - 56, c_1001_10 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB