Magma V2.19-8 Tue Aug 20 2013 23:47:24 on localhost [Seed = 3769010856] Type ? for help. Type -D to quit. Loading file "L10a94__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L10a94 geometric_solution 11.21124683 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 1 3 0132 0132 2031 0132 1 1 0 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 1 0 -1 -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 0.591847044316 1.016784299898 0 4 4 0 0132 0132 1302 1302 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 0 -1 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 0.572406016445 0.734600017664 3 0 5 4 0213 0132 0132 3012 1 1 1 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 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 0.742743565583 0.621703240754 2 6 0 5 0213 0132 0132 0132 1 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.064708923998 0.501459981063 1 1 2 7 2031 0132 1230 0132 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 0 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.340003036762 0.847010281031 8 6 3 2 0132 0321 0132 0132 1 1 0 1 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 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663906641489 1.063730763030 9 3 10 5 0132 0132 0132 0321 1 1 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 1 -1 0 0 0 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 0.745926979132 1.165479709102 11 11 4 8 0132 1302 0132 2103 1 1 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 0 0 0 0 0 0 -1 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 0.599943740115 0.543609069353 5 10 9 7 0132 1023 0213 2103 1 1 1 0 0 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 -1 1 0 0 0 0 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 0.406592895775 1.555870104203 6 8 10 11 0132 0213 0213 3012 1 1 1 0 0 1 -1 0 -1 0 0 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 -1 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 1.495294910243 1.001965169747 8 9 11 6 1023 0213 3012 0132 1 1 1 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 0 -1 0 1 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 0.267740606319 0.584602426909 7 10 9 7 0132 1230 1230 2031 1 1 0 1 0 0 -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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.878171746138 1.193287478584 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_1001_11']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : negation(d['c_1001_11']), 'c_1001_1' : d['c_0101_7'], 'c_1001_0' : negation(d['c_0101_0']), 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_1001_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], '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' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_1001_11']), 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : negation(d['c_1001_4']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : d['c_0101_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_6'], 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_6']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_1001_11']), 'c_1010_2' : negation(d['c_0101_0']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_6'], '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'], '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_3'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : d['c_0011_10'], '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_7'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0011_3'], '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_0011_3'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : negation(d['c_0101_5']), 'c_0110_5' : d['c_0011_3'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_11'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0101_0, c_0101_11, c_0101_5, c_0101_6, c_0101_7, c_1001_11, c_1001_2, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 21433/72*c_1001_4^12 - 41351/9*c_1001_4^11 + 125181/4*c_1001_4^10 - 4505995/36*c_1001_4^9 + 23832211/72*c_1001_4^8 - 11134211/18*c_1001_4^7 + 10187225/12*c_1001_4^6 - 3477411/4*c_1001_4^5 + 2649731/4*c_1001_4^4 - 13257937/36*c_1001_4^3 + 5127239/36*c_1001_4^2 - 319903/9*c_1001_4 + 349601/72, c_0011_0 - 1, c_0011_10 + c_1001_4^6 - 7*c_1001_4^5 + 19*c_1001_4^4 - 28*c_1001_4^3 + 26*c_1001_4^2 - 13*c_1001_4 + 3, c_0011_11 - c_1001_4^11 + 13*c_1001_4^10 - 74*c_1001_4^9 + 247*c_1001_4^8 - 548*c_1001_4^7 + 864*c_1001_4^6 - 996*c_1001_4^5 + 841*c_1001_4^4 - 511*c_1001_4^3 + 211*c_1001_4^2 - 54*c_1001_4 + 7, c_0011_3 - c_1001_4^3 + 3*c_1001_4^2 - 2*c_1001_4 + 1, c_0101_0 - 1, c_0101_11 + c_1001_4^12 - 14*c_1001_4^11 + 87*c_1001_4^10 - 320*c_1001_4^9 + 785*c_1001_4^8 - 1370*c_1001_4^7 + 1760*c_1001_4^6 - 1682*c_1001_4^5 + 1186*c_1001_4^4 - 600*c_1001_4^3 + 205*c_1001_4^2 - 44*c_1001_4 + 5, c_0101_5 + c_1001_4^2 - 2*c_1001_4 + 1, c_0101_6 - c_1001_4^9 + 10*c_1001_4^8 - 42*c_1001_4^7 + 100*c_1001_4^6 - 155*c_1001_4^5 + 166*c_1001_4^4 - 122*c_1001_4^3 + 60*c_1001_4^2 - 17*c_1001_4 + 2, c_0101_7 + c_1001_4 - 1, c_1001_11 + c_1001_4^4 - 4*c_1001_4^3 + 5*c_1001_4^2 - 4*c_1001_4 + 1, c_1001_2 + c_1001_4 - 1, c_1001_4^13 - 16*c_1001_4^12 + 114*c_1001_4^11 - 482*c_1001_4^10 + 1363*c_1001_4^9 - 2756*c_1001_4^8 + 4146*c_1001_4^7 - 4734*c_1001_4^6 + 4122*c_1001_4^5 - 2714*c_1001_4^4 + 1318*c_1001_4^3 - 452*c_1001_4^2 + 101*c_1001_4 - 12 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.280 seconds, Total memory usage: 32.09MB