Magma V2.19-8 Tue Aug 20 2013 18:13:31 on localhost [Seed = 2699106557] Type ? for help. Type -D to quit. Loading file "10^3_72__sl2_c4.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^3_72 geometric_solution 14.35768903 oriented_manifold CS_known -0.0000000000000004 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 1 0132 0132 0132 2031 2 0 1 2 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 -1 0 1 -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 0.494407064292 0.750783744719 0 0 5 4 0132 1302 0132 0132 0 0 2 1 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 0 0 0 1 0 3 -4 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.388196824268 0.929056060242 6 0 6 4 0132 0132 3012 2031 2 0 2 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.617103209158 0.916371700488 7 8 6 0 0132 0132 3120 0132 2 0 2 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 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 0.488842037236 1.136798896178 8 2 1 9 2103 1302 0132 0132 0 0 2 2 0 0 0 0 0 0 -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 4 -4 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.329016396293 0.731721900814 10 10 11 1 0132 1230 0132 0132 0 0 1 0 0 0 0 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 0 0 0 0 0 3 -3 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.661959874585 0.563090240272 2 2 3 10 0132 1230 3120 2031 0 0 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.388196824268 0.929056060242 3 12 11 9 0132 0132 1023 1023 0 0 0 2 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 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009921698020 1.331867552561 11 3 4 13 1023 0132 2103 0132 2 0 0 2 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 0.310114856342 0.430715850634 14 13 4 7 0132 3120 0132 1023 0 0 0 2 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 4 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.994407064292 0.750783744719 5 6 5 13 0132 1302 3012 3120 0 0 0 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 -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 0.123535517666 0.745556664227 12 8 7 5 0132 1023 1023 0132 0 0 0 2 0 0 0 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 0 0 0 3 0 0 -3 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430762113888 0.742385574289 11 7 14 14 0132 0132 3120 0321 0 0 2 0 0 -1 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 0 0 0 0 4 -3 -1 -3 0 0 3 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.009921698020 1.331867552561 10 9 8 14 3120 3120 0132 2103 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.430762113888 0.742385574289 9 12 12 13 0132 0321 3120 2103 0 0 2 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 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.359489080133 0.483589874025 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_14']), 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_0011_10'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : d['c_0101_14'], 'c_1001_5' : d['c_0101_13'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : negation(d['c_0011_14']), 'c_1001_6' : negation(d['c_1001_13']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_4'], 'c_1001_3' : d['c_1001_13'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_13']), 'c_1001_8' : d['c_0011_4'], 'c_1010_13' : d['c_0011_14'], 'c_1010_12' : negation(d['c_0011_14']), 'c_1010_11' : d['c_0101_13'], 'c_1010_10' : negation(d['c_0011_13']), 'c_1010_14' : negation(d['c_0011_14']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_14']), 'c_0101_10' : d['c_0101_1'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(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_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_1100_1']), 'c_1100_6' : d['c_0011_13'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_1001_13'], 'c_1100_14' : negation(d['c_0101_12']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : negation(d['c_0101_13']), 'c_1100_13' : negation(d['c_0101_9']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_14'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_1001_13']), 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0011_4'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_13']), 'c_1010_8' : d['c_1001_13'], 'c_1100_8' : negation(d['c_0101_9']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(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_14']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_14']), 'c_0011_8' : d['c_0011_11'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0101_13' : d['c_0101_13'], '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' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_12'], 'c_0110_10' : d['c_0101_12'], 'c_0110_13' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_14']), 'c_0110_14' : d['c_0101_9'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0011_7' : d['c_0011_11'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_12'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : negation(d['c_0011_13']), 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_14'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_13']), 'c_0110_6' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_4, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_14, c_0101_6, c_0101_9, c_1001_13, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 77792968123/3504962400*c_1100_1^7 + 358212766979/1752481200*c_1100_1^6 - 1183328847527/1752481200*c_1100_1^5 + 707461638343/1752481200*c_1100_1^4 - 1194654107189/584160400*c_1100_1^3 + 4049932393/73020050*c_1100_1^2 - 9031736563/11683208*c_1100_1 - 823788941/175248120, c_0011_0 - 1, c_0011_10 - 14717/246135*c_1100_1^7 + 487379/984540*c_1100_1^6 - 130691/98454*c_1100_1^5 - 97184/246135*c_1100_1^4 - 434623/82045*c_1100_1^3 - 682693/164090*c_1100_1^2 - 302829/82045*c_1100_1 - 3475/49227, c_0011_11 - 4255/196908*c_1100_1^7 + 8752/49227*c_1100_1^6 - 47099/98454*c_1100_1^5 - 10199/98454*c_1100_1^4 - 68523/32818*c_1100_1^3 - 25698/16409*c_1100_1^2 - 25556/16409*c_1100_1 - 30916/49227, c_0011_13 + 9641/492270*c_1100_1^7 - 93563/492270*c_1100_1^6 + 32237/49227*c_1100_1^5 - 100994/246135*c_1100_1^4 + 114432/82045*c_1100_1^3 - 104939/82045*c_1100_1^2 - 99929/82045*c_1100_1 - 91504/49227, c_0011_14 + 1357/131272*c_1100_1^7 - 7445/65636*c_1100_1^6 + 7547/16409*c_1100_1^5 - 34355/65636*c_1100_1^4 + 34161/65636*c_1100_1^3 - 21589/16409*c_1100_1^2 - 16069/16409*c_1100_1 - 23047/32818, c_0011_4 + c_1100_1, c_0101_0 - 1, c_0101_1 - 1, c_0101_12 - 32753/984540*c_1100_1^7 + 266849/984540*c_1100_1^6 - 68261/98454*c_1100_1^5 - 96284/246135*c_1100_1^4 - 443211/164090*c_1100_1^3 - 504963/164090*c_1100_1^2 - 155659/82045*c_1100_1 - 49738/49227, c_0101_13 - 8159/492270*c_1100_1^7 + 137299/984540*c_1100_1^6 - 36493/98454*c_1100_1^5 - 46189/246135*c_1100_1^4 - 92008/82045*c_1100_1^3 - 168733/164090*c_1100_1^2 + 34776/82045*c_1100_1 + 9130/49227, c_0101_14 - 6383/246135*c_1100_1^7 + 196031/984540*c_1100_1^6 - 87379/196908*c_1100_1^5 - 537929/984540*c_1100_1^4 - 370489/164090*c_1100_1^3 - 570277/164090*c_1100_1^2 - 430637/164090*c_1100_1 - 113801/98454, c_0101_6 + c_1100_1 + 1, c_0101_9 - 4255/196908*c_1100_1^7 + 8752/49227*c_1100_1^6 - 47099/98454*c_1100_1^5 - 10199/98454*c_1100_1^4 - 68523/32818*c_1100_1^3 - 25698/16409*c_1100_1^2 - 25556/16409*c_1100_1 - 30916/49227, c_1001_13 + 3287/196908*c_1100_1^7 - 12955/98454*c_1100_1^6 + 15884/49227*c_1100_1^5 + 10019/49227*c_1100_1^4 + 51839/32818*c_1100_1^3 + 33623/16409*c_1100_1^2 + 21678/16409*c_1100_1 + 9641/49227, c_1100_1^8 - 8*c_1100_1^7 + 20*c_1100_1^6 + 12*c_1100_1^5 + 92*c_1100_1^4 + 96*c_1100_1^3 + 96*c_1100_1^2 + 40*c_1100_1 + 20 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB