Magma V2.19-8 Tue Aug 20 2013 23:41:03 on localhost [Seed = 2716321091] Type ? for help. Type -D to quit. Loading file "L13a4987__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4987 geometric_solution 7.54969002 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 3 3 0132 0132 0132 3120 1 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 0 0 0 0 0 0 0 0 0 3 1 -4 -1 0 1 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 0.768046449893 1.444333508556 0 3 4 4 0132 3120 2103 0132 1 0 1 1 0 -1 1 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 4 -4 0 1 0 3 -4 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552206935328 0.528630783453 5 0 4 6 0132 0132 0213 0132 1 1 1 1 0 1 -1 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 -3 3 0 0 0 0 0 -3 -1 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488408942229 0.428557639412 0 1 5 0 3120 3120 2031 0132 1 0 1 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 1 0 -1 0 0 1 -1 -1 0 0 1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.108394486762 0.674953193434 1 2 1 7 2103 0213 0132 0132 1 0 1 1 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 -3 0 3 -3 0 4 -1 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055059899167 0.904596436339 2 7 7 3 0132 1023 1230 1302 0 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 1 0 -1 0 0 0 0 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824567724697 0.426431762442 8 7 2 8 0132 2103 0132 1023 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 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.203197287451 1.170610062428 5 6 4 5 1023 2103 0132 3012 1 0 1 1 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 0 -3 3 -1 0 1 0 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.824567724697 0.426431762442 6 9 9 6 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.623724899485 0.280819199509 9 8 8 9 3012 0132 1023 1230 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.639189255331 0.080898934695 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_0011_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_8'], 'c_1001_8' : d['c_0101_9'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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_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' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_6'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_0101_3'], 'c_1100_4' : negation(d['c_0101_7']), 'c_1100_7' : negation(d['c_0101_7']), 'c_1100_6' : d['c_0011_6'], 'c_1100_1' : negation(d['c_0101_7']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0011_6'], 'c_1010_7' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_8'], 's_3_1' : d['1'], 's_3_0' : negation(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' : 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_6'], 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_8'], 'c_0110_9' : d['c_0011_6'], 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_3'], 'c_0110_6' : d['c_0101_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_3, c_0101_5, c_0101_7, c_0101_8, c_0101_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 403928718115951/26570743510400*c_0101_9^10 - 236138082770023/3321342938800*c_0101_9^9 + 6253540899094311/26570743510400*c_0101_9^8 - 6860040007396143/13285371755200*c_0101_9^7 + 4008691312723349/26570743510400*c_0101_9^6 - 39904396302998099/13285371755200*c_0101_9^5 - 69832909724761393/26570743510400*c_0101_9^4 - 8975065003910091/1660671469400*c_0101_9^3 - 895689747534729/332134293880*c_0101_9^2 - 16253912673865867/13285371755200*c_0101_9 + 5640009759849447/13285371755200, c_0011_0 - 1, c_0011_3 - 2286856884/41516786735*c_0101_9^10 + 10375281503/41516786735*c_0101_9^9 - 6746051774/8303357347*c_0101_9^8 + 72158894698/41516786735*c_0101_9^7 - 2002541754/8303357347*c_0101_9^6 + 444251057421/41516786735*c_0101_9^5 + 460224686354/41516786735*c_0101_9^4 + 162896026714/8303357347*c_0101_9^3 + 453222623922/41516786735*c_0101_9^2 + 23702658617/8303357347*c_0101_9 - 21072810386/8303357347, c_0011_4 + 3731832634/207583933675*c_0101_9^10 - 13440179894/207583933675*c_0101_9^9 + 39956879012/207583933675*c_0101_9^8 - 74787705058/207583933675*c_0101_9^7 - 59987386298/207583933675*c_0101_9^6 - 794182544256/207583933675*c_0101_9^5 - 266201348228/41516786735*c_0101_9^4 - 2024418413544/207583933675*c_0101_9^3 - 1414941389567/207583933675*c_0101_9^2 - 393541257922/207583933675*c_0101_9 + 74281972097/41516786735, c_0011_6 + 893019216/207583933675*c_0101_9^10 - 6644278996/207583933675*c_0101_9^9 + 25115424818/207583933675*c_0101_9^8 - 61808016042/207583933675*c_0101_9^7 + 62009430528/207583933675*c_0101_9^6 - 117051690094/207583933675*c_0101_9^5 + 8436700501/8303357347*c_0101_9^4 - 22635439166/207583933675*c_0101_9^3 + 194773087117/207583933675*c_0101_9^2 - 225337602558/207583933675*c_0101_9 + 4166342283/41516786735, c_0101_0 - 1, c_0101_3 - 2286856884/41516786735*c_0101_9^10 + 10375281503/41516786735*c_0101_9^9 - 6746051774/8303357347*c_0101_9^8 + 72158894698/41516786735*c_0101_9^7 - 2002541754/8303357347*c_0101_9^6 + 444251057421/41516786735*c_0101_9^5 + 460224686354/41516786735*c_0101_9^4 + 162896026714/8303357347*c_0101_9^3 + 453222623922/41516786735*c_0101_9^2 + 23702658617/8303357347*c_0101_9 - 12769453039/8303357347, c_0101_5 + 2365614409/207583933675*c_0101_9^10 - 11439366289/207583933675*c_0101_9^9 + 34243844377/207583933675*c_0101_9^8 - 60120389358/207583933675*c_0101_9^7 - 57480198733/207583933675*c_0101_9^6 - 251180595231/207583933675*c_0101_9^5 - 98184006047/41516786735*c_0101_9^4 - 208152340699/207583933675*c_0101_9^3 - 421499632142/207583933675*c_0101_9^2 + 100466348238/207583933675*c_0101_9 - 26919255798/41516786735, c_0101_7 - 7702451786/207583933675*c_0101_9^10 + 38436227621/207583933675*c_0101_9^9 - 128694415338/207583933675*c_0101_9^8 + 286006768432/207583933675*c_0101_9^7 - 110050930148/207583933675*c_0101_9^6 + 1427072742849/207583933675*c_0101_9^5 + 194023338126/41516786735*c_0101_9^4 + 2047982254306/207583933675*c_0101_9^3 + 851171730043/207583933675*c_0101_9^2 + 199025207503/207583933675*c_0101_9 - 31082079833/41516786735, c_0101_8 + 661554056/207583933675*c_0101_9^10 - 1511718676/207583933675*c_0101_9^9 + 231067293/207583933675*c_0101_9^8 + 14668108878/207583933675*c_0101_9^7 - 85993779097/207583933675*c_0101_9^6 - 35300841354/207583933675*c_0101_9^5 - 85327458193/41516786735*c_0101_9^4 - 59637799716/207583933675*c_0101_9^3 - 370568978678/207583933675*c_0101_9^2 - 12512114108/207583933675*c_0101_9 - 12330955597/41516786735, c_0101_9^11 - 5*c_0101_9^10 + 17*c_0101_9^9 - 39*c_0101_9^8 + 21*c_0101_9^7 - 201*c_0101_9^6 - 109*c_0101_9^5 - 301*c_0101_9^4 - 64*c_0101_9^3 - 26*c_0101_9^2 + 52*c_0101_9 - 10 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB