Magma V2.19-8 Wed Aug 21 2013 00:58:10 on localhost [Seed = 2244189969] Type ? for help. Type -D to quit. Loading file "L13n4809__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4809 geometric_solution 12.02954025 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 2031 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 -1 0 1 -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 0.655429708407 0.598279321148 0 3 5 4 0132 2103 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 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 0.671272368770 0.380920125902 6 0 7 0 0132 0132 0132 1302 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 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 0.722874486934 1.255131007721 8 1 0 6 0132 2103 0132 1302 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 -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 0.487954846656 1.123543366832 9 10 1 7 0132 0132 0132 2310 1 1 1 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 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0.292084512996 0.541974822720 11 11 12 1 0132 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 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 0.406953451115 1.234717670824 2 7 3 12 0132 3120 2031 1302 1 1 1 1 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 -1 1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.653488102940 0.469945283124 4 6 9 2 3201 3120 1230 0132 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 0 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 0.229058877409 0.689979353478 3 11 9 9 0132 3201 3120 2031 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.045973124699 2.103932475715 4 8 8 7 0132 1302 3120 3012 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 0.900702633547 1.810743951056 11 4 12 12 1230 0132 0213 1230 1 0 1 1 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 0 0 0 0 0 0 0 -4 3 1 1 0 1 -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 0.406953451115 1.234717670824 5 10 8 5 0132 3012 2310 2031 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 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 0 0 0 0 0.316083815424 0.658083708774 10 10 6 5 3012 0213 2031 0132 1 1 0 1 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 0 0 0 0 0 -3 3 0 -1 0 0 1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.406953451115 1.234717670824 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_12' : negation(d['c_0101_2']), 'c_1001_5' : d['c_0101_5'], 'c_1001_4' : d['c_0101_12'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_1'], 'c_1001_8' : negation(d['c_0101_1']), 'c_1010_12' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_0101_12'], '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_1'], 'c_0101_10' : d['c_0011_11'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0101_8']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0101_0'], 'c_1100_6' : d['c_0101_12'], 'c_1100_1' : d['c_0011_7'], 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : d['c_0101_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0101_5'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_12']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_7']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0101_7'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_7'], 's_1_7' : negation(d['1']), 's_1_6' : negation(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_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0101_5'], 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_7']), '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' : d['c_0101_0'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_8'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_7']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_5, c_0101_6, c_0101_7, c_0101_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 2524013/177430400*c_0101_8^5 - 4418471/177430400*c_0101_8^4 + 8242123/88715200*c_0101_8^3 - 1856079/12673600*c_0101_8^2 + 393576557/177430400*c_0101_8 - 186131767/177430400, c_0011_0 - 1, c_0011_10 - 2/35*c_0101_8^5 + 29/280*c_0101_8^4 - 5/14*c_0101_8^3 + 13/20*c_0101_8^2 - 657/70*c_0101_8 + 177/56, c_0011_11 + 1, c_0011_3 - 17/560*c_0101_8^5 + 33/560*c_0101_8^4 - 15/56*c_0101_8^3 + 11/40*c_0101_8^2 - 2801/560*c_0101_8 + 297/112, c_0011_7 + 2/35*c_0101_8^5 - 29/280*c_0101_8^4 + 5/14*c_0101_8^3 - 13/20*c_0101_8^2 + 657/70*c_0101_8 - 177/56, c_0101_0 + 13/560*c_0101_8^5 - 17/560*c_0101_8^4 + 9/56*c_0101_8^3 - 9/40*c_0101_8^2 + 1969/560*c_0101_8 - 69/112, c_0101_1 - 13/560*c_0101_8^5 + 17/560*c_0101_8^4 - 9/56*c_0101_8^3 + 9/40*c_0101_8^2 - 1969/560*c_0101_8 + 69/112, c_0101_12 - 9/560*c_0101_8^5 + 1/560*c_0101_8^4 - 3/56*c_0101_8^3 + 7/40*c_0101_8^2 - 1137/560*c_0101_8 - 159/112, c_0101_2 + 13/560*c_0101_8^5 - 17/560*c_0101_8^4 + 9/56*c_0101_8^3 - 9/40*c_0101_8^2 + 1969/560*c_0101_8 - 69/112, c_0101_5 - 9/224*c_0101_8^5 + 15/224*c_0101_8^4 - 29/112*c_0101_8^3 + 5/16*c_0101_8^2 - 1389/224*c_0101_8 + 507/224, c_0101_6 - 29/560*c_0101_8^5 + 23/280*c_0101_8^4 - 19/56*c_0101_8^3 + 11/20*c_0101_8^2 - 4597/560*c_0101_8 + 179/56, c_0101_7 - 17/560*c_0101_8^5 + 33/560*c_0101_8^4 - 15/56*c_0101_8^3 + 11/40*c_0101_8^2 - 2801/560*c_0101_8 + 297/112, c_0101_8^6 - 2*c_0101_8^5 + 7*c_0101_8^4 - 12*c_0101_8^3 + 159*c_0101_8^2 - 114*c_0101_8 + 25 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.100 Total time: 0.310 seconds, Total memory usage: 32.09MB