Magma V2.19-8 Tue Aug 20 2013 23:43:30 on localhost [Seed = 374371094] Type ? for help. Type -D to quit. Loading file "L13n9388__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9388 geometric_solution 10.34134816 oriented_manifold CS_known 0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 2 0132 0132 0132 1230 2 0 1 0 0 0 -1 1 0 0 -1 1 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 0 4 -4 0 0 -2 2 0 -1 0 1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.823163251302 0.865679390291 0 4 4 5 0132 0132 1302 0132 2 0 0 1 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 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 0.423150602257 0.606643498890 0 0 4 6 3012 0132 0132 0132 2 2 0 1 0 0 0 0 -1 0 0 1 -1 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 4 0 -1 -3 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.226518613553 1.108889960448 7 8 5 0 0132 0132 2310 0132 2 0 0 2 0 0 -1 1 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 4 -4 1 0 -3 2 3 -1 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.792792017968 0.728334783354 1 1 9 2 2031 0132 0132 0132 2 2 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 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 0.226518613553 1.108889960448 7 3 1 10 2103 3201 0132 0132 2 0 2 0 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 -4 0 4 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361363026312 1.270188816572 7 10 2 8 1023 2031 0132 1023 2 2 2 0 0 0 0 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 0 0 0 -3 0 3 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 0.846301204515 1.213286997780 3 6 5 9 0132 1023 2103 3201 2 0 2 0 0 -1 0 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 3 0 -3 -1 0 0 1 0 0 0 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.851797381499 0.616172070430 9 3 10 6 0132 0132 2031 1023 2 2 2 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 0 0 0 0 0 0 0 3 1 0 -4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411581625651 0.432839695145 8 7 10 4 0132 2310 0213 0132 2 2 0 2 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 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.846301204515 1.213286997780 6 9 5 8 1302 0213 0132 1302 2 0 2 2 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 0 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.153698795485 1.213286997780 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0110_6']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0110_10']), 'c_1001_3' : d['c_0110_6'], 'c_1001_2' : d['c_0101_2'], 'c_1001_9' : negation(d['c_0110_6']), 'c_1001_8' : negation(d['c_0110_10']), 'c_1010_10' : d['c_1010_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_2_7' : d['1'], 's_2_10' : 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' : negation(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_1100_9' : d['c_1010_10'], 'c_1100_8' : negation(d['c_1010_10']), 'c_1100_5' : d['c_0101_4'], 'c_1100_4' : d['c_1010_10'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1010_10'], 'c_1100_1' : d['c_0101_4'], 'c_1100_0' : d['c_0011_5'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_1010_10'], 'c_1100_10' : d['c_0101_4'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0110_6']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0110_10']), 'c_1010_2' : negation(d['c_0110_10']), 'c_1010_1' : negation(d['c_0101_3']), 'c_1010_0' : d['c_0101_2'], 'c_1010_9' : negation(d['c_0101_3']), 'c_1010_8' : d['c_0110_6'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_3'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_3']), '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_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_4'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0110_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_5, c_0101_0, c_0101_2, c_0101_3, c_0101_4, c_0110_10, c_0110_6, c_1010_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 13087/9984*c_1010_10^5 + 49547/2496*c_1010_10^4 - 179239/2496*c_1010_10^3 + 74297/1248*c_1010_10^2 - 22319/156*c_1010_10 + 36641/624, c_0011_0 - 1, c_0011_10 - 5/208*c_1010_10^5 + 19/52*c_1010_10^4 - 75/52*c_1010_10^3 + 28/13*c_1010_10^2 - 38/13*c_1010_10 + 25/13, c_0011_3 + 11/624*c_1010_10^5 - 10/39*c_1010_10^4 + 131/156*c_1010_10^3 - 20/39*c_1010_10^2 + 49/39*c_1010_10 - 22/39, c_0011_5 - 1/312*c_1010_10^5 + 7/156*c_1010_10^4 - 23/156*c_1010_10^3 + 25/78*c_1010_10^2 - 34/39*c_1010_10 + 25/39, c_0101_0 - 1, c_0101_2 - 1/312*c_1010_10^5 + 7/156*c_1010_10^4 - 23/156*c_1010_10^3 + 25/78*c_1010_10^2 - 34/39*c_1010_10 - 14/39, c_0101_3 + 1/312*c_1010_10^5 - 7/156*c_1010_10^4 + 23/156*c_1010_10^3 - 25/78*c_1010_10^2 + 34/39*c_1010_10 - 25/39, c_0101_4 + 1, c_0110_10 + 1, c_0110_6 + 1/624*c_1010_10^5 + 1/156*c_1010_10^4 - 41/156*c_1010_10^3 + 23/39*c_1010_10^2 - 37/39*c_1010_10 + 31/39, c_1010_10^6 - 16*c_1010_10^5 + 68*c_1010_10^4 - 96*c_1010_10^3 + 160*c_1010_10^2 - 144*c_1010_10 + 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB