Magma V2.19-8 Wed Aug 21 2013 00:55:06 on localhost [Seed = 3903779456] Type ? for help. Type -D to quit. Loading file "L12n925__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n925 geometric_solution 11.27298225 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128810505233 0.723583569880 0 3 6 5 0132 1023 0132 0132 1 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 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 0.436036752005 0.585749907523 7 0 8 5 0132 0132 0132 2031 1 1 0 1 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 -1 0 1 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 0.546169607744 1.658050897672 1 7 9 0 1023 0132 0132 0132 1 1 0 1 0 0 0 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 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 0.663429645410 2.731624482982 7 10 0 11 3120 0132 0132 0132 1 1 1 1 0 0 0 0 0 0 0 0 1 -1 0 0 0 1 -1 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 -3 3 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551911696608 0.435338780601 7 2 1 12 2103 1302 0132 0132 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 1 0 0 -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 0.644918332550 0.939386218626 12 9 11 1 0132 1023 0213 0132 1 1 1 1 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.311084699086 0.374908273130 2 3 5 4 0132 0132 2103 3120 1 1 1 0 0 0 0 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 -1 0 1 1 0 -1 0 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.198657117975 0.323590547881 11 12 10 2 0132 0321 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -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 0.466897787009 1.229224126769 6 10 11 3 1023 1023 0132 0132 1 1 1 1 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.349992380210 0.737768356850 9 4 8 12 1023 0132 1023 0321 1 1 1 1 0 0 0 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 1 -1 0 0 0 0 0 0 2 0 -2 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352078627477 0.931441526960 8 6 4 9 0132 0213 0132 0132 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 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 0.136696514087 0.832093472015 6 10 5 8 0132 0321 0132 0321 1 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 0 0 0 0 1 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.885312738097 0.413759764918 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_8'], 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0101_8'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_1001_2'], 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : 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' : 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' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1001_12']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0101_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1001_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1001_12'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_1001_12'], 'c_1010_4' : d['c_0101_8'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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_0101_10'], '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' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_10'], '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' : d['c_0101_8'], 'c_0110_10' : d['c_0011_10'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : d['c_0101_1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_11'], '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_11'], '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'], '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_0101_3'], 'c_0110_8' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_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_5, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_3, c_0101_8, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 98795189/7663005*c_1100_0^6 - 25307932/364905*c_1100_0^5 + 1016314309/7663005*c_1100_0^4 - 315367057/1532601*c_1100_0^3 + 240851888/450765*c_1100_0^2 - 834828056/1094715*c_1100_0 + 2767768837/7663005, c_0011_0 - 1, c_0011_10 - 18/53*c_1100_0^6 + 71/53*c_1100_0^5 - 72/53*c_1100_0^4 + 122/53*c_1100_0^3 - 442/53*c_1100_0^2 + 189/53*c_1100_0 + 262/53, c_0011_11 - 1, c_0011_5 - 79/159*c_1100_0^6 + 97/53*c_1100_0^5 - 263/159*c_1100_0^4 + 559/159*c_1100_0^3 - 1934/159*c_1100_0^2 + 856/159*c_1100_0 + 985/159, c_0101_0 - 18/53*c_1100_0^6 + 71/53*c_1100_0^5 - 72/53*c_1100_0^4 + 122/53*c_1100_0^3 - 495/53*c_1100_0^2 + 242/53*c_1100_0 + 262/53, c_0101_1 - 1, c_0101_10 + 79/159*c_1100_0^6 - 97/53*c_1100_0^5 + 263/159*c_1100_0^4 - 559/159*c_1100_0^3 + 1934/159*c_1100_0^2 - 697/159*c_1100_0 - 985/159, c_0101_11 + 25/159*c_1100_0^6 - 26/53*c_1100_0^5 + 47/159*c_1100_0^4 - 193/159*c_1100_0^3 + 608/159*c_1100_0^2 + 29/159*c_1100_0 - 358/159, c_0101_3 - 152/159*c_1100_0^6 + 192/53*c_1100_0^5 - 502/159*c_1100_0^4 + 989/159*c_1100_0^3 - 3862/159*c_1100_0^2 + 1490/159*c_1100_0 + 2024/159, c_0101_8 - 130/159*c_1100_0^6 + 167/53*c_1100_0^5 - 467/159*c_1100_0^4 + 940/159*c_1100_0^3 - 3416/159*c_1100_0^2 + 1312/159*c_1100_0 + 1798/159, c_1001_12 + 130/159*c_1100_0^6 - 167/53*c_1100_0^5 + 467/159*c_1100_0^4 - 940/159*c_1100_0^3 + 3416/159*c_1100_0^2 - 1312/159*c_1100_0 - 1957/159, c_1001_2 + 152/159*c_1100_0^6 - 192/53*c_1100_0^5 + 502/159*c_1100_0^4 - 989/159*c_1100_0^3 + 3862/159*c_1100_0^2 - 1490/159*c_1100_0 - 2183/159, c_1100_0^7 - 5*c_1100_0^6 + 8*c_1100_0^5 - 11*c_1100_0^4 + 34*c_1100_0^3 - 41*c_1100_0^2 - 2*c_1100_0 + 17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.460 seconds, Total memory usage: 32.09MB