Magma V2.19-8 Wed Aug 21 2013 00:59:18 on localhost [Seed = 3583233674] Type ? for help. Type -D to quit. Loading file "L13n6797__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6797 geometric_solution 12.21631478 oriented_manifold CS_known 0.0000000000000001 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 1 2 0 0 -1 0 1 0 0 0 0 0 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -6 1 5 -1 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 0.390558319472 0.909507227677 0 5 7 6 0132 0132 0132 0132 2 1 0 2 0 0 -1 1 0 0 0 0 2 -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 -5 5 1 0 -1 0 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601365016090 0.928315647098 8 0 5 9 0132 0132 0132 0132 2 2 0 2 0 1 -1 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 6 -6 0 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 0.264592338796 0.632610789096 10 5 11 0 0132 1230 0132 0132 2 1 0 2 0 0 0 0 1 0 -1 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 1 0 -1 -1 0 2 -1 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.356832946881 0.726879016029 10 7 0 6 3120 0132 0132 2103 2 1 2 2 0 1 -1 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 5 -5 0 0 0 0 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.812171712708 0.947124066520 12 1 3 2 0132 0132 3012 0132 2 2 2 0 0 0 -1 1 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 -6 6 0 0 -1 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 0.201462576851 1.015874966383 12 9 1 4 3012 2103 0132 2103 2 1 2 0 0 0 -1 1 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 -1 -5 6 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 0.682755278253 0.771619880774 8 4 11 1 3012 0132 2103 0132 2 1 2 2 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 -5 0 5 1 0 -2 1 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.781499868024 0.672260127641 2 12 10 7 0132 0132 1023 1230 1 2 2 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 0 1 -1 -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 1.585344818430 0.999474653893 10 6 2 11 1023 2103 0132 2031 2 2 2 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 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945926951975 1.530808625025 3 9 8 4 0132 1023 1023 3120 2 1 2 0 0 0 0 0 -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 0 0 0 1 0 -1 0 6 0 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.365097159347 0.581111834191 7 9 12 3 2103 1302 1023 0132 2 1 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.945926951975 1.530808625025 5 8 11 6 0132 0132 1023 1230 1 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 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 0.365097159347 0.581111834191 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0101_11'], 'c_1001_5' : d['c_0011_10'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : d['c_1001_3'], 'c_1010_10' : negation(d['c_0011_4']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : negation(d['c_0011_4']), 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_0'], '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' : 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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0110_6']), 'c_1100_7' : negation(d['c_0101_3']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0110_6']), 'c_1100_3' : negation(d['c_0110_6']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : negation(d['c_0101_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_11'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_10'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_11'], 'c_1100_8' : d['c_0101_1'], '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'], 'c_1100_12' : d['c_0110_6'], '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' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_3'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0011_4']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['1']})} 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_11, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_3, c_0101_8, c_0110_6, c_1001_1, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1063588761608875/11146815327961088*c_1001_3^6 - 45339011178058249/5573407663980544*c_1001_3^5 - 47580411118717007/5573407663980544*c_1001_3^4 - 15219029119855593/1393351915995136*c_1001_3^3 - 93204678875844463/11146815327961088*c_1001_3^2 + 28868544298585139/11146815327961088*c_1001_3 + 26127275773648565/5573407663980544, c_0011_0 - 1, c_0011_10 - 3398019/83050246*c_1001_3^6 - 146161707/41525123*c_1001_3^5 - 264582635/41525123*c_1001_3^4 - 388660145/41525123*c_1001_3^3 - 836466797/83050246*c_1001_3^2 - 446471245/83050246*c_1001_3 - 98804708/41525123, c_0011_11 + c_1001_3, c_0011_4 + 2090136/41525123*c_1001_3^6 + 178424028/41525123*c_1001_3^5 + 207805780/41525123*c_1001_3^4 + 389628848/41525123*c_1001_3^3 + 331375783/41525123*c_1001_3^2 + 199803038/41525123*c_1001_3 + 79171544/41525123, c_0011_6 - 1627423/83050246*c_1001_3^6 - 70227479/41525123*c_1001_3^5 - 147141433/41525123*c_1001_3^4 - 305610978/41525123*c_1001_3^3 - 574552541/83050246*c_1001_3^2 - 510126667/83050246*c_1001_3 - 109015812/41525123, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 - 654163/41525123*c_1001_3^6 - 55621010/41525123*c_1001_3^5 - 46636736/41525123*c_1001_3^4 - 143496196/41525123*c_1001_3^3 - 151097453/41525123*c_1001_3^2 - 82144950/41525123*c_1001_3 - 73471543/41525123, c_0101_3 - 1627423/83050246*c_1001_3^6 - 70227479/41525123*c_1001_3^5 - 147141433/41525123*c_1001_3^4 - 305610978/41525123*c_1001_3^3 - 574552541/83050246*c_1001_3^2 - 510126667/83050246*c_1001_3 - 109015812/41525123, c_0101_8 + 654163/41525123*c_1001_3^6 + 55621010/41525123*c_1001_3^5 + 46636736/41525123*c_1001_3^4 + 143496196/41525123*c_1001_3^3 + 151097453/41525123*c_1001_3^2 + 82144950/41525123*c_1001_3 + 73471543/41525123, c_0110_6 + 3398019/83050246*c_1001_3^6 + 146161707/41525123*c_1001_3^5 + 264582635/41525123*c_1001_3^4 + 388660145/41525123*c_1001_3^3 + 836466797/83050246*c_1001_3^2 + 446471245/83050246*c_1001_3 + 98804708/41525123, c_1001_1 - 885298/41525123*c_1001_3^6 - 75934228/41525123*c_1001_3^5 - 117441202/41525123*c_1001_3^4 - 83049167/41525123*c_1001_3^3 - 130957128/41525123*c_1001_3^2 + 31827711/41525123*c_1001_3 + 10211104/41525123, c_1001_3^7 + 86*c_1001_3^6 + 154*c_1001_3^5 + 280*c_1001_3^4 + 333*c_1001_3^3 + 263*c_1001_3^2 + 162*c_1001_3 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB