Magma V2.19-8 Tue Aug 20 2013 23:48:58 on localhost [Seed = 2631595534] Type ? for help. Type -D to quit. Loading file "L12n1244__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1244 geometric_solution 11.21418812 oriented_manifold CS_known 0.0000000000000005 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 0 0 1 0 0 0 0 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 1 0 -1 -3 0 4 -1 4 0 0 -4 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336072806337 1.021639179212 0 5 7 6 0132 0132 0132 0132 1 0 1 0 0 -1 1 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 -1 1 0 3 0 0 -3 0 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290546609577 0.883242541896 5 0 6 7 0132 0132 3201 3201 1 0 1 0 0 0 0 0 0 0 -1 1 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 -1 0 1 0 0 4 -4 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290546609577 0.883242541896 4 8 9 0 1302 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 0 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 4 0 0 -4 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.000000000000 1.000000000000 6 3 0 9 3201 2031 0132 0132 1 0 1 0 0 -1 0 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 -2 1 1 -1 0 1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111152961358 0.833456242000 2 1 10 11 0132 0132 0132 0132 1 0 0 1 0 1 0 -1 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 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.336072806337 1.021639179212 2 8 1 4 2310 2310 0132 2310 1 0 0 1 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 0 0 0 0 0 0 0 0 -3 0 3 0 -4 3 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663927193663 1.021639179212 11 2 9 1 0132 2310 2103 0132 1 0 0 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 0 0 0 0 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663927193663 1.021639179212 11 3 10 6 3120 0132 3120 3201 1 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 3 -3 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.833456242000 0.888847038642 7 10 4 3 2103 2103 0132 0132 1 0 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 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203652033841 1.086894575736 11 9 8 5 1302 2103 3120 0132 1 0 1 1 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 0 0 0 0 0 -1 1 0 3 0 -3 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 -0.000000000000 1.000000000000 7 10 5 8 0132 2031 0132 3120 1 0 1 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 -1 1 0 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.111152961358 0.833456242000 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_5']), 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_1001_3']), 'c_1001_4' : negation(d['c_0101_0']), 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : negation(d['c_1001_3']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : negation(d['c_0011_9']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0011_9']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : negation(d['c_1001_3']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_11'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_0101_8']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : negation(d['c_0101_7']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : negation(d['c_0011_9']), 'c_1010_2' : negation(d['c_0011_9']), 'c_1010_1' : negation(d['c_1001_3']), 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_1001_3'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(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' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_5'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_4']), 'c_0110_8' : d['c_0101_7'], '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_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_9, c_0101_0, c_0101_1, c_0101_5, c_0101_7, c_0101_8, c_1001_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2523872/2109*c_1100_0^7 - 462368/2109*c_1100_0^6 + 8438240/2109*c_1100_0^5 + 402816/703*c_1100_0^4 - 17772160/2109*c_1100_0^3 - 6697648/703*c_1100_0^2 - 538400/111*c_1100_0 - 711808/703, c_0011_0 - 1, c_0011_10 - 22/57*c_1100_0^7 + 34/57*c_1100_0^6 + 16/19*c_1100_0^5 - 107/57*c_1100_0^4 - 110/57*c_1100_0^3 + 16/57*c_1100_0^2 + 2/3*c_1100_0 + 32/57, c_0011_11 + 82/57*c_1100_0^7 - 10/19*c_1100_0^6 - 248/57*c_1100_0^5 + 100/57*c_1100_0^4 + 467/57*c_1100_0^3 + 367/57*c_1100_0^2 + 13/3*c_1100_0 + 50/57, c_0011_4 - 14/19*c_1100_0^7 + 20/57*c_1100_0^6 + 140/57*c_1100_0^5 - 92/57*c_1100_0^4 - 89/19*c_1100_0^3 - 137/57*c_1100_0^2 - c_1100_0 + 11/57, c_0011_9 + 32/57*c_1100_0^7 - 9/19*c_1100_0^6 - 94/57*c_1100_0^5 + 71/57*c_1100_0^4 + 160/57*c_1100_0^3 + 89/57*c_1100_0^2 + 5/3*c_1100_0 + 7/57, c_0101_0 + 16/57*c_1100_0^7 - 4/57*c_1100_0^6 - 22/19*c_1100_0^5 + 26/57*c_1100_0^4 + 137/57*c_1100_0^3 + 35/57*c_1100_0^2 + 1/3*c_1100_0 + 13/57, c_0101_1 - 1, c_0101_5 + 64/57*c_1100_0^7 + 22/57*c_1100_0^6 - 226/57*c_1100_0^5 - 16/19*c_1100_0^4 + 491/57*c_1100_0^3 + 167/19*c_1100_0^2 + 13/3*c_1100_0 + 30/19, c_0101_7 + 52/19*c_1100_0^7 - 32/19*c_1100_0^6 - 148/19*c_1100_0^5 + 94/19*c_1100_0^4 + 298/19*c_1100_0^3 + 166/19*c_1100_0^2 + 4*c_1100_0 + 9/19, c_0101_8 - 16/19*c_1100_0^7 - 26/57*c_1100_0^6 + 160/57*c_1100_0^5 + 74/57*c_1100_0^4 - 118/19*c_1100_0^3 - 466/57*c_1100_0^2 - 5*c_1100_0 - 134/57, c_1001_3 - 8/57*c_1100_0^7 - 17/57*c_1100_0^6 + 14/57*c_1100_0^5 + 21/19*c_1100_0^4 - 40/57*c_1100_0^3 - 47/19*c_1100_0^2 - 5/3*c_1100_0 - 18/19, c_1100_0^8 - 3*c_1100_0^6 + 6*c_1100_0^4 + 7*c_1100_0^3 + 5*c_1100_0^2 + 2*c_1100_0 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.820 Total time: 3.020 seconds, Total memory usage: 32.09MB