Magma V2.19-8 Tue Aug 20 2013 23:42:39 on localhost [Seed = 1747848501] Type ? for help. Type -D to quit. Loading file "L14n24646__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24646 geometric_solution 9.28785235 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 -1 0 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 1 1 -2 -1 0 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 0.581213919015 1.107666247604 0 5 3 6 0132 0132 1023 0132 0 0 1 1 0 1 0 -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 -1 0 1 1 0 -1 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 0.581213919015 1.107666247604 7 0 5 8 0132 0132 0321 0132 0 1 1 1 0 1 -1 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 -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 0.543011960688 0.509295016869 8 7 1 0 1023 0132 1023 0132 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 0 0 0 1 -1 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 0.258201191240 0.554434798432 7 9 0 9 3012 0132 0132 1023 0 0 1 1 0 0 -1 1 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 -1 2 -1 0 0 -1 1 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611723430061 1.258475891046 8 1 2 7 0132 0132 0321 0132 0 1 1 1 0 -1 1 0 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 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 0.543011960688 0.509295016869 8 9 1 9 3012 1023 0132 0132 0 0 1 1 0 -1 1 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 1 -1 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 0.611723430061 1.258475891046 2 3 5 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.020264459434 0.918901359056 5 3 2 6 0132 1023 0132 1230 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 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 1.020264459434 0.918901359056 6 4 6 4 1023 0132 0132 1023 0 0 1 1 0 0 0 0 1 0 0 -1 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 0 1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.395399472070 0.358430527250 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : d['c_0101_3'], 'c_1001_6' : d['c_0101_9'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_0101_3'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0110_9'], 'c_1001_8' : d['c_0101_3'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], '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_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' : 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_1100_0']), 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : d['c_0110_4'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : negation(d['c_1100_0']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_9'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0110_9'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0110_9'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_3'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_0110_4'], 'c_1010_8' : d['c_0101_0'], 's_3_1' : d['1'], 's_3_0' : 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' : 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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_4']), 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_4']), '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], '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_7'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_4']), '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_7'], 'c_0110_5' : d['c_0101_7'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_4'], 'c_0110_6' : d['c_0101_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_7, c_0101_9, c_0110_4, c_0110_9, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 25732357/196072*c_1100_0^7 + 7732006/24509*c_1100_0^6 + 256605267/196072*c_1100_0^5 + 438254065/196072*c_1100_0^4 - 1701050089/196072*c_1100_0^3 + 184439002/24509*c_1100_0^2 - 63128723/98036*c_1100_0 - 32003625/24509, c_0011_0 - 1, c_0011_4 + 1983/24509*c_1100_0^7 + 10910/24509*c_1100_0^6 + 36449/24509*c_1100_0^5 + 101962/24509*c_1100_0^4 - 1520/24509*c_1100_0^3 - 236543/24509*c_1100_0^2 + 265881/24509*c_1100_0 - 76851/24509, c_0101_0 - 1, c_0101_1 - 1, c_0101_3 + 2603/49018*c_1100_0^7 + 4693/49018*c_1100_0^6 + 22681/49018*c_1100_0^5 + 15579/24509*c_1100_0^4 - 95128/24509*c_1100_0^3 + 273143/49018*c_1100_0^2 - 63447/24509*c_1100_0 - 9894/24509, c_0101_7 + 15945/49018*c_1100_0^7 + 16610/24509*c_1100_0^6 + 152701/49018*c_1100_0^5 + 237837/49018*c_1100_0^4 - 1070781/49018*c_1100_0^3 + 698905/24509*c_1100_0^2 - 328411/24509*c_1100_0 + 36544/24509, c_0101_9 + 2603/49018*c_1100_0^7 + 4693/49018*c_1100_0^6 + 22681/49018*c_1100_0^5 + 15579/24509*c_1100_0^4 - 95128/24509*c_1100_0^3 + 273143/49018*c_1100_0^2 - 38938/24509*c_1100_0 - 9894/24509, c_0110_4 + 2603/49018*c_1100_0^7 + 4693/49018*c_1100_0^6 + 22681/49018*c_1100_0^5 + 15579/24509*c_1100_0^4 - 95128/24509*c_1100_0^3 + 273143/49018*c_1100_0^2 - 38938/24509*c_1100_0 - 9894/24509, c_0110_9 + 7457/24509*c_1100_0^7 + 19348/24509*c_1100_0^6 + 78864/24509*c_1100_0^5 + 143476/24509*c_1100_0^4 - 457606/24509*c_1100_0^3 + 350906/24509*c_1100_0^2 - 37514/24509*c_1100_0 - 22029/24509, c_1100_0^8 + 2*c_1100_0^7 + 9*c_1100_0^6 + 13*c_1100_0^5 - 73*c_1100_0^4 + 84*c_1100_0^3 - 28*c_1100_0^2 - 8*c_1100_0 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB