Magma V2.19-8 Wed Aug 21 2013 01:03:46 on localhost [Seed = 2513669555] Type ? for help. Type -D to quit. Loading file "L14n22203__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n22203 geometric_solution 11.94287245 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -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 1 0 -1 -1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505512482046 0.480126116356 0 5 6 3 0132 0132 0132 0132 1 0 1 1 0 0 0 0 -1 0 -1 2 -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 0 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 0.504364636834 1.345446369309 3 0 6 4 0132 0132 2103 3120 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 0 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 0.473835602916 0.704829502355 2 7 1 0 0132 0132 0132 0132 1 0 1 1 0 0 0 0 1 0 -2 1 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 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 0.127999142814 1.442153300116 2 8 0 6 3120 0132 0132 0132 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 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 0.663352604764 1.576601864510 7 1 9 10 0132 0132 0132 0132 1 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.354491151283 0.486175949168 2 11 4 1 2103 0132 0132 0132 1 0 1 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 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 -0.034540719947 0.401608620125 5 3 8 9 0132 0132 2103 0321 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828703060788 1.064743502890 7 4 12 11 2103 0132 0132 3120 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 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 0.823090992624 0.724805948680 12 7 10 5 2031 0321 3012 0132 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 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 0.894658675514 1.005530895833 12 9 5 11 0132 1230 0132 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 -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 0.431124783957 1.664100857110 8 6 10 12 3120 0132 1230 0321 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 -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 0 0 1.013960019136 0.824592333160 10 11 9 8 0132 0321 1302 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 0 -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 0.401680247077 1.275280782410 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : negation(d['c_0011_9']), 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0011_11']), 'c_1001_7' : negation(d['c_0011_4']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_11']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : d['c_1001_6'], 'c_1010_12' : d['c_1001_6'], 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : 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_11'], 'c_0101_10' : d['c_0101_10'], '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_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' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_1001_1']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_1']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_9']), 'c_1100_10' : negation(d['c_1001_1']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_3'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_6'], 'c_1010_3' : negation(d['c_0011_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_11']), 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : negation(d['c_0011_11']), 'c_1100_8' : negation(d['c_0101_11']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_11']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_4']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_0']), '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_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_10'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : d['c_0101_10'], 'c_0101_12' : negation(d['c_0011_9']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : d['c_0101_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0011_9']), 'c_0110_6' : d['c_0101_1']})} 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_4, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_1001_1, c_1001_3, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 255125962811/12046825*c_1100_0^9 + 93403548166/523775*c_1100_0^8 + 7791693693087/12046825*c_1100_0^7 + 2951363650666/2409365*c_1100_0^6 + 71901206481/68839*c_1100_0^5 - 3129328567913/12046825*c_1100_0^4 - 15094145977709/12046825*c_1100_0^3 - 7879053658536/12046825*c_1100_0^2 + 3574615695717/12046825*c_1100_0 + 3033678543451/12046825, c_0011_0 - 1, c_0011_10 + 19/23*c_1100_0^9 + 6*c_1100_0^8 + 398/23*c_1100_0^7 + 477/23*c_1100_0^6 - 98/23*c_1100_0^5 - 809/23*c_1100_0^4 - 442/23*c_1100_0^3 + 455/23*c_1100_0^2 + 323/23*c_1100_0 - 170/23, c_0011_11 - 2*c_1100_0^9 - 14*c_1100_0^8 - 40*c_1100_0^7 - 50*c_1100_0^6 + 66*c_1100_0^4 + 42*c_1100_0^3 - 30*c_1100_0^2 - 24*c_1100_0 + 11, c_0011_4 - 41/23*c_1100_0^9 - 13*c_1100_0^8 - 900/23*c_1100_0^7 - 1246/23*c_1100_0^6 - 280/23*c_1100_0^5 + 1293/23*c_1100_0^4 + 1070/23*c_1100_0^3 - 494/23*c_1100_0^2 - 559/23*c_1100_0 + 224/23, c_0011_9 - 74/23*c_1100_0^9 - 23*c_1100_0^8 - 1538/23*c_1100_0^7 - 1951/23*c_1100_0^6 + 27/23*c_1100_0^5 + 2755/23*c_1100_0^4 + 1851/23*c_1100_0^3 - 1254/23*c_1100_0^2 - 1143/23*c_1100_0 + 489/23, c_0101_0 - 1, c_0101_1 - 5/23*c_1100_0^9 - c_1100_0^8 - 20/23*c_1100_0^7 + 96/23*c_1100_0^6 + 280/23*c_1100_0^5 + 225/23*c_1100_0^4 - 104/23*c_1100_0^3 - 196/23*c_1100_0^2 + 7/23*c_1100_0 + 29/23, c_0101_10 + 4*c_1100_0^9 + 30*c_1100_0^8 + 94*c_1100_0^7 + 141*c_1100_0^6 + 56*c_1100_0^5 - 117*c_1100_0^4 - 134*c_1100_0^3 + 16*c_1100_0^2 + 59*c_1100_0 - 8, c_0101_11 - 32/23*c_1100_0^9 - 10*c_1100_0^8 - 680/23*c_1100_0^7 - 922/23*c_1100_0^6 - 186/23*c_1100_0^5 + 957/23*c_1100_0^4 + 765/23*c_1100_0^3 - 362/23*c_1100_0^2 - 406/23*c_1100_0 + 158/23, c_1001_1 + 29/23*c_1100_0^9 + 9*c_1100_0^8 + 599/23*c_1100_0^7 + 745/23*c_1100_0^6 - 60/23*c_1100_0^5 - 1144/23*c_1100_0^4 - 740/23*c_1100_0^3 + 548/23*c_1100_0^2 + 493/23*c_1100_0 - 228/23, c_1001_3 + 41/23*c_1100_0^9 + 13*c_1100_0^8 + 900/23*c_1100_0^7 + 1246/23*c_1100_0^6 + 280/23*c_1100_0^5 - 1293/23*c_1100_0^4 - 1070/23*c_1100_0^3 + 494/23*c_1100_0^2 + 582/23*c_1100_0 - 224/23, c_1001_6 + 83/23*c_1100_0^9 + 27*c_1100_0^8 + 1942/23*c_1100_0^7 + 2896/23*c_1100_0^6 + 1102/23*c_1100_0^5 - 2493/23*c_1100_0^4 - 2800/23*c_1100_0^3 + 374/23*c_1100_0^2 + 1250/23*c_1100_0 - 164/23, c_1100_0^10 + 8*c_1100_0^9 + 27*c_1100_0^8 + 45*c_1100_0^7 + 25*c_1100_0^6 - 33*c_1100_0^5 - 54*c_1100_0^4 - 6*c_1100_0^3 + 27*c_1100_0^2 + 6*c_1100_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.500 Total time: 0.710 seconds, Total memory usage: 32.09MB