Magma V2.19-8 Tue Aug 20 2013 18:00:11 on localhost [Seed = 2682137438] Type ? for help. Type -D to quit. Loading file "10^3_54__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_54 geometric_solution 13.02798669 oriented_manifold CS_known 0.0000000000000000 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 2 3 0132 0132 1302 0132 2 1 1 1 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 1 -1 0 0 0 -1 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 0.632417334058 1.122936426170 0 4 3 5 0132 0132 1302 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 1 -1 0 0 0 0 0 1 -6 0 5 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798616504242 0.898799750135 0 0 7 6 2031 0132 0132 0132 2 2 1 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.619240831680 0.676085737500 1 7 0 6 2031 0132 0132 1230 2 1 1 1 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 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 0.267629424665 0.420420995538 5 1 8 9 0213 0132 0132 0132 1 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.886401196095 0.614751946679 4 10 1 7 0213 0132 0132 2310 1 1 2 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 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.268954532416 0.672896277523 3 9 2 10 3012 2103 0132 1302 2 2 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 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 0.088949041943 0.951967251406 5 3 9 2 3201 0132 2103 0132 2 2 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 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 1.672157300953 1.010562866397 11 12 11 4 0132 0132 3012 0132 1 2 1 0 0 0 0 0 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 0 1 -1 1 0 -1 0 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449543013848 0.714938810468 7 6 4 13 2103 2103 0132 0132 1 2 2 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 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 1.130371786861 0.641603598915 11 5 6 12 2031 0132 2031 0132 1 2 1 2 0 0 0 0 0 0 0 0 -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 1 0 -1 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224168564006 0.721755300463 8 8 10 13 0132 1230 1302 3120 2 2 0 1 0 0 0 0 0 0 1 -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 1 -1 0 -1 0 0 1 1 0 0 -1 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.676120468462 0.878151745942 13 8 10 13 3120 0132 0132 0321 1 2 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.369705049179 1.002400901589 11 12 9 12 3120 0321 0132 3120 1 2 0 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449543013848 0.714938810468 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0101_2']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_12'], 'c_1001_4' : d['c_1001_12'], 'c_1001_7' : d['c_0011_9'], 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0011_9'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_13' : negation(d['c_0011_11']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_13']), 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_10']), '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' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : negation(d['1']), 's_2_10' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0101_12']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : d['c_0101_10'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_10'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : d['c_1001_13'], 'c_1100_13' : negation(d['c_0101_12']), 's_0_11' : d['1'], 's_3_13' : negation(d['1']), 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : negation(d['c_1001_13']), 'c_1010_5' : negation(d['c_0101_2']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0011_9'], 'c_1010_1' : d['c_1001_12'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_13'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : negation(d['1']), 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_13'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : 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_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0101_10']), 'c_0011_6' : d['c_0011_6'], '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' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0101_12'], 'c_0110_13' : negation(d['c_0011_13']), 'c_0110_12' : negation(d['c_0011_13']), 'c_1010_4' : d['c_0011_6'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0110_0' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0011_9'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_10']), 'c_0101_3' : negation(d['c_0011_3']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : negation(d['c_0011_13']), 'c_0011_10' : d['c_0011_10'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_6'], 'c_0110_2' : d['c_0011_9'], 'c_0110_5' : negation(d['c_0101_7']), 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : negation(d['1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_3, c_0011_6, c_0011_9, c_0101_10, c_0101_12, c_0101_2, c_0101_7, c_1001_12, c_1001_13, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 14342437/232320*c_1001_2^9 - 118864597/464640*c_1001_2^8 + 44096719/154880*c_1001_2^7 + 6790657/29040*c_1001_2^6 - 238425191/464640*c_1001_2^5 - 134624593/464640*c_1001_2^4 + 18180527/30976*c_1001_2^3 + 32764873/46464*c_1001_2^2 + 26358655/92928*c_1001_2 + 18717041/464640, c_0011_0 - 1, c_0011_10 + 48*c_1001_2^9 - 190*c_1001_2^8 + 181*c_1001_2^7 + 238*c_1001_2^6 - 384*c_1001_2^5 - 311*c_1001_2^4 + 451*c_1001_2^3 + 639*c_1001_2^2 + 284*c_1001_2 + 43, c_0011_11 + 1, c_0011_13 + 50*c_1001_2^9 - 203*c_1001_2^8 + 212*c_1001_2^7 + 214*c_1001_2^6 - 406*c_1001_2^5 - 274*c_1001_2^4 + 468*c_1001_2^3 + 614*c_1001_2^2 + 265*c_1001_2 + 40, c_0011_3 - 2*c_1001_2^9 + 7*c_1001_2^8 - 4*c_1001_2^7 - 13*c_1001_2^6 + 11*c_1001_2^5 + 20*c_1001_2^4 - 12*c_1001_2^3 - 35*c_1001_2^2 - 25*c_1001_2 - 7, c_0011_6 + 32*c_1001_2^9 - 122*c_1001_2^8 + 101*c_1001_2^7 + 181*c_1001_2^6 - 237*c_1001_2^5 - 252*c_1001_2^4 + 281*c_1001_2^3 + 480*c_1001_2^2 + 237*c_1001_2 + 39, c_0011_9 - 1, c_0101_10 + 2*c_1001_2^9 - 7*c_1001_2^8 + 4*c_1001_2^7 + 13*c_1001_2^6 - 11*c_1001_2^5 - 20*c_1001_2^4 + 12*c_1001_2^3 + 35*c_1001_2^2 + 25*c_1001_2 + 7, c_0101_12 - 98*c_1001_2^9 + 385*c_1001_2^8 - 357*c_1001_2^7 - 502*c_1001_2^6 + 779*c_1001_2^5 + 653*c_1001_2^4 - 905*c_1001_2^3 - 1332*c_1001_2^2 - 613*c_1001_2 - 99, c_0101_2 + 2*c_1001_2^9 - 7*c_1001_2^8 + 4*c_1001_2^7 + 13*c_1001_2^6 - 11*c_1001_2^5 - 20*c_1001_2^4 + 12*c_1001_2^3 + 35*c_1001_2^2 + 26*c_1001_2 + 7, c_0101_7 + 34*c_1001_2^9 - 129*c_1001_2^8 + 105*c_1001_2^7 + 194*c_1001_2^6 - 248*c_1001_2^5 - 272*c_1001_2^4 + 293*c_1001_2^3 + 515*c_1001_2^2 + 262*c_1001_2 + 47, c_1001_12 + 12*c_1001_2^9 - 44*c_1001_2^8 + 31*c_1001_2^7 + 74*c_1001_2^6 - 79*c_1001_2^5 - 109*c_1001_2^4 + 92*c_1001_2^3 + 198*c_1001_2^2 + 115*c_1001_2 + 23, c_1001_13 - 48*c_1001_2^9 + 190*c_1001_2^8 - 181*c_1001_2^7 - 238*c_1001_2^6 + 384*c_1001_2^5 + 311*c_1001_2^4 - 451*c_1001_2^3 - 639*c_1001_2^2 - 284*c_1001_2 - 43, c_1001_2^10 - 7/2*c_1001_2^9 + 2*c_1001_2^8 + 13/2*c_1001_2^7 - 11/2*c_1001_2^6 - 10*c_1001_2^5 + 6*c_1001_2^4 + 35/2*c_1001_2^3 + 25/2*c_1001_2^2 + 4*c_1001_2 + 1/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB