Magma V2.19-8 Wed Aug 21 2013 01:05:05 on localhost [Seed = 3415069522] Type ? for help. Type -D to quit. Loading file "L14n25008__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25008 geometric_solution 11.53126715 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 1 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 -1 1 -1 0 1 0 1 -2 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.389547670466 0.752827738295 0 5 7 6 0132 0132 0132 0132 1 1 1 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 1 0 -1 0 -1 2 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.729788965381 0.449300096631 4 0 8 5 0213 0132 0132 1302 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.570658922974 0.761058644710 9 10 9 0 0132 0132 2310 0132 1 1 1 1 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 -1 0 1 0 0 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 1.197397025104 0.965837482015 2 11 0 12 0213 0132 0132 0132 1 1 1 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 -1 1 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.649352795868 0.726076488455 7 1 2 8 0321 0132 2031 3120 1 1 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509967460326 0.710397654365 9 12 1 11 2103 1023 0132 1302 1 1 1 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 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 0.885566367626 0.550122449280 5 11 10 1 0321 1023 2031 0132 1 1 0 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 -2 0 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 1.241341335705 1.167444158604 5 11 10 2 3120 0321 1023 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 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 0.719577307027 0.794161109887 3 3 6 12 0132 3201 2103 0321 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 0.329315309822 0.477137677490 12 3 8 7 3201 0132 1023 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.209150210724 0.987316674139 7 4 6 8 1023 0132 2031 0321 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 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 0.163114660666 0.658852755924 6 9 4 10 1023 0321 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.312493704076 0.349892651786 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_6']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : negation(d['c_0110_6']), 'c_1001_5' : d['c_0101_12'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : d['c_0101_12'], 'c_1001_1' : negation(d['c_0011_8']), 'c_1001_0' : d['c_0101_8'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_0101_10'], 'c_1010_12' : d['c_0101_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_11']), 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_0110_6']), 'c_1100_8' : d['c_0101_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : d['c_0101_11'], 'c_1100_6' : d['c_0101_11'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_5']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_8']), 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : negation(d['c_0011_8']), 'c_1010_4' : negation(d['c_0110_6']), 'c_1010_3' : d['c_0101_8'], 'c_1010_2' : d['c_0101_8'], 'c_1010_1' : d['c_0101_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(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_10'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : negation(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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], 'c_0011_6' : d['c_0011_12'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : negation(d['c_0011_11']), 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_12']), 'c_0110_5' : negation(d['c_0011_11']), 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : negation(d['c_0011_0']), 'c_0110_6' : d['c_0110_6'], 's_2_9' : d['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_12, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_12, c_0101_5, c_0101_8, c_0110_6, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 12385586653/16759750*c_1001_2^10 - 40539506013/33519500*c_1001_2^9 + 69345119791/16759750*c_1001_2^8 + 49400944808/8379875*c_1001_2^7 - 49128939789/6703900*c_1001_2^6 - 185135089961/33519500*c_1001_2^5 + 304084208/53375*c_1001_2^4 - 214181754457/33519500*c_1001_2^3 - 23551871499/6703900*c_1001_2^2 + 189689072191/33519500*c_1001_2 - 35735071257/16759750, c_0011_0 - 1, c_0011_10 - 1/4*c_1001_2^10 + 1/4*c_1001_2^9 + 2*c_1001_2^8 - 1/2*c_1001_2^7 - 13/4*c_1001_2^6 + c_1001_2^5 - 5/4*c_1001_2^4 - 13/4*c_1001_2^3 + 7/4*c_1001_2^2 - 1/4*c_1001_2 - 1/4, c_0011_11 - c_1001_2^10 - c_1001_2^9 + 5*c_1001_2^8 + 4*c_1001_2^7 - 6*c_1001_2^6 - c_1001_2^5 - 7*c_1001_2^3 - c_1001_2^2, c_0011_12 - 1/4*c_1001_2^10 + 1/4*c_1001_2^9 + 2*c_1001_2^8 - 1/2*c_1001_2^7 - 17/4*c_1001_2^6 + 7/4*c_1001_2^4 - 5/4*c_1001_2^3 + 3/4*c_1001_2^2 + 7/4*c_1001_2 - 1/4, c_0011_8 - c_1001_2^7 - c_1001_2^6 + 3*c_1001_2^5 + 2*c_1001_2^4 - c_1001_2^3 + 2*c_1001_2^2 - 1, c_0101_0 - 1, c_0101_10 - 1/2*c_1001_2^10 - 1/2*c_1001_2^9 + 2*c_1001_2^8 + c_1001_2^7 - 5/2*c_1001_2^6 + c_1001_2^5 + 3/2*c_1001_2^4 - 3/2*c_1001_2^3 + 3/2*c_1001_2^2 + 3/2*c_1001_2 - 1/2, c_0101_11 - 1/4*c_1001_2^10 + 1/4*c_1001_2^9 + 2*c_1001_2^8 - 3/2*c_1001_2^7 - 17/4*c_1001_2^6 + 3*c_1001_2^5 + 3/4*c_1001_2^4 - 9/4*c_1001_2^3 + 15/4*c_1001_2^2 - 1/4*c_1001_2 - 1/4, c_0101_12 - 1/4*c_1001_2^10 + 1/4*c_1001_2^9 + 2*c_1001_2^8 - 1/2*c_1001_2^7 - 13/4*c_1001_2^6 - 5/4*c_1001_2^4 - 5/4*c_1001_2^3 + 7/4*c_1001_2^2 - 1/4*c_1001_2 + 3/4, c_0101_5 - 5/4*c_1001_2^10 + 1/4*c_1001_2^9 + 7*c_1001_2^8 - 5/2*c_1001_2^7 - 41/4*c_1001_2^6 + 8*c_1001_2^5 - 5/4*c_1001_2^4 - 33/4*c_1001_2^3 + 31/4*c_1001_2^2 - 5/4*c_1001_2 - 5/4, c_0101_8 + 1/4*c_1001_2^10 - 1/4*c_1001_2^9 - 2*c_1001_2^8 + 1/2*c_1001_2^7 + 13/4*c_1001_2^6 - c_1001_2^5 + 5/4*c_1001_2^4 + 13/4*c_1001_2^3 - 7/4*c_1001_2^2 + 5/4*c_1001_2 + 1/4, c_0110_6 + 1/4*c_1001_2^10 - 1/4*c_1001_2^9 - c_1001_2^8 + 3/2*c_1001_2^7 + 1/4*c_1001_2^6 - 3*c_1001_2^5 + 9/4*c_1001_2^4 + 5/4*c_1001_2^3 - 7/4*c_1001_2^2 + 5/4*c_1001_2 + 1/4, c_1001_2^11 + 2*c_1001_2^10 - 5*c_1001_2^9 - 10*c_1001_2^8 + 7*c_1001_2^7 + 11*c_1001_2^6 - 5*c_1001_2^5 + 6*c_1001_2^4 + 8*c_1001_2^3 - 6*c_1001_2^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.360 Total time: 1.570 seconds, Total memory usage: 32.09MB