Magma V2.19-8 Tue Aug 20 2013 23:29:35 on localhost [Seed = 1048074320] Type ? for help. Type -D to quit. Loading file "K13n1153__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1153 geometric_solution 6.44353738 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 8 1 2 2 3 0132 0132 3120 0132 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 -1 1 -16 0 0 16 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.334527122391 0.318930063073 0 4 5 3 0132 0132 0132 1230 0 0 0 0 0 -1 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 0 15 1 -16 16 0 0 -16 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778208686506 0.373652359238 6 0 0 3 0132 0132 3120 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.919371628524 0.746843353220 1 2 0 7 3012 2310 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 -1 1 16 0 -16 0 16 0 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.006769633452 0.775196002344 6 1 6 7 1302 0132 1230 1023 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 -15 15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142888199547 1.323542819127 6 7 7 1 2103 1023 2310 0132 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 1 -1 -15 0 15 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 1.136118566095 0.548346816783 2 4 5 4 0132 2031 2103 3012 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 15 -15 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.142888199547 1.323542819127 5 5 3 4 1023 3201 0132 1023 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 1 -1 0 0 0 0 0 1 -1 0 0 -1 -15 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286110885121 0.344558072865 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_1_7' : negation(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_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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_0101_1']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : negation(d['c_0101_2']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_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_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_5'], '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_1001_5' : d['c_0011_5'], 'c_1001_4' : d['c_0101_1'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_0110_7'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_1001_0']), 'c_1001_2' : negation(d['c_1001_0']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0110_7'], 'c_0110_6' : d['c_0101_2'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0110_7'], 'c_1010_4' : d['c_0110_7'], 'c_1010_3' : negation(d['c_0101_5']), 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : negation(d['c_1001_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 9 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_5, c_0101_1, c_0101_2, c_0101_5, c_0110_7, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 668*c_1001_0^7 - 2460*c_1001_0^6 + 1680*c_1001_0^5 + 3526*c_1001_0^4 - 4407*c_1001_0^3 - 9682*c_1001_0^2 - 5422*c_1001_0 - 980, c_0011_0 - 1, c_0011_3 - 28*c_1001_0^7 + 96*c_1001_0^6 - 41*c_1001_0^5 - 179*c_1001_0^4 + 161*c_1001_0^3 + 464*c_1001_0^2 + 304*c_1001_0 + 64, c_0011_5 + 6*c_1001_0^7 - 19*c_1001_0^6 + 3*c_1001_0^5 + 42*c_1001_0^4 - 25*c_1001_0^3 - 111*c_1001_0^2 - 89*c_1001_0 - 24, c_0101_1 + 21*c_1001_0^7 - 72*c_1001_0^6 + 31*c_1001_0^5 + 133*c_1001_0^4 - 119*c_1001_0^3 - 348*c_1001_0^2 - 230*c_1001_0 - 49, c_0101_2 + 21*c_1001_0^7 - 72*c_1001_0^6 + 31*c_1001_0^5 + 133*c_1001_0^4 - 119*c_1001_0^3 - 348*c_1001_0^2 - 230*c_1001_0 - 49, c_0101_5 + 43*c_1001_0^7 - 148*c_1001_0^6 + 65*c_1001_0^5 + 274*c_1001_0^4 - 252*c_1001_0^3 - 707*c_1001_0^2 - 458*c_1001_0 - 95, c_0110_7 + 43*c_1001_0^7 - 148*c_1001_0^6 + 65*c_1001_0^5 + 274*c_1001_0^4 - 252*c_1001_0^3 - 707*c_1001_0^2 - 458*c_1001_0 - 95, c_1001_0^8 - 3*c_1001_0^7 + 7*c_1001_0^5 - 3*c_1001_0^4 - 19*c_1001_0^3 - 18*c_1001_0^2 - 7*c_1001_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB