Magma V2.19-8 Tue Aug 20 2013 23:46:27 on localhost [Seed = 1495216970] Type ? for help. Type -D to quit. Loading file "K14n18363__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n18363 geometric_solution 11.15426524 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.629066356054 0.417055271851 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -16 0 16 0 0 0 0 0 0 0 0 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.743095141580 0.460954649335 4 0 9 8 1302 0132 0132 0132 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 1 0 -1 0 0 0 0 0 0 0 0 16 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.372611120086 0.918109876316 9 4 8 0 0132 1302 3012 0132 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 1 -1 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544157990029 0.437961289553 10 2 0 3 0132 2031 0132 2031 0 0 0 0 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 -1 1 0 0 0 0 16 -16 0 0 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.767254331670 0.814382579107 9 1 10 8 1023 0132 3120 2310 0 0 0 0 0 -1 1 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 16 -16 0 0 0 0 0 -17 17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.929972375637 1.432158917160 9 7 1 11 2103 0213 0132 0132 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 17 -16 -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 0.524983104027 0.860171883744 10 11 6 1 3120 2310 0213 0132 0 0 0 0 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 17 -17 0 0 0 0 0 17 0 0 -17 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.980012125043 0.531963016312 5 3 2 11 3201 1230 0132 3120 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 1 -1 0 0 0 0 0 17 0 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.137932425054 0.883191636574 3 5 6 2 0132 1023 2103 0132 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 -17 17 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.593729445605 0.909143668781 4 11 5 7 0132 0132 3120 3120 0 0 0 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 0 0 0 0 0 0 16 1 0 -17 -16 0 16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.294350638261 0.771725205929 8 10 6 7 3120 0132 0132 3201 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 1 -1 0 0 0 0 17 0 0 -17 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773995689094 0.910142964628 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_7']), 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_1001_10']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : negation(d['c_1001_10']), 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : negation(d['c_0110_11']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_8']), 'c_1001_2' : negation(d['c_0101_8']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0011_7']), 's_0_10' : 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_8']), '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_0101_11']), 'c_1100_8' : negation(d['c_0101_11']), 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : negation(d['c_1001_0']), 'c_1100_7' : negation(d['c_0011_7']), 'c_1100_6' : negation(d['c_0011_7']), 'c_1100_1' : negation(d['c_0011_7']), 'c_1100_0' : negation(d['c_1001_0']), 'c_1100_3' : negation(d['c_1001_0']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_7']), 'c_1100_10' : negation(d['c_0011_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0110_11']), 'c_1010_6' : negation(d['c_0011_7']), 'c_1010_5' : negation(d['c_0110_11']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_10']), 'c_1010_0' : negation(d['c_0101_8']), 'c_1010_9' : negation(d['c_0101_8']), 'c_1010_8' : d['c_0011_10'], '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_0'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], '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_0'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0110_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_8'], 'c_0110_5' : negation(d['c_0101_8']), 'c_0110_4' : negation(d['c_0011_8']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_11']})} 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_6, c_0011_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_8, c_0110_11, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 926283096529/177649715*c_1001_10^11 - 12564211057903/355299430*c_1001_10^10 - 1811870644061/18699970*c_1001_10^9 - 9117806664029/71059886*c_1001_10^8 - 3880617793995/71059886*c_1001_10^7 + 2256238498605/35529943*c_1001_10^6 + 2940432190111/35529943*c_1001_10^5 + 2073618457493/177649715*c_1001_10^4 - 8478373816907/355299430*c_1001_10^3 - 513424297855/71059886*c_1001_10^2 + 424323976989/177649715*c_1001_10 + 36328012589/71059886, c_0011_0 - 1, c_0011_10 - 12600/4463*c_1001_10^11 - 97688/4463*c_1001_10^10 - 323408/4463*c_1001_10^9 - 587708/4463*c_1001_10^8 - 594719/4463*c_1001_10^7 - 238469/4463*c_1001_10^6 + 140490/4463*c_1001_10^5 + 204884/4463*c_1001_10^4 + 68804/4463*c_1001_10^3 - 8220/4463*c_1001_10^2 - 2547/4463*c_1001_10 - 2002/4463, c_0011_6 + 4102/4463*c_1001_10^11 + 34441/4463*c_1001_10^10 + 131133/4463*c_1001_10^9 + 272221/4463*c_1001_10^8 + 284813/4463*c_1001_10^7 + 38663/4463*c_1001_10^6 - 250589/4463*c_1001_10^5 - 236672/4463*c_1001_10^4 - 14743/4463*c_1001_10^3 + 77952/4463*c_1001_10^2 + 18101/4463*c_1001_10 - 5408/4463, c_0011_7 + 22869/4463*c_1001_10^11 + 179803/4463*c_1001_10^10 + 618048/4463*c_1001_10^9 + 1184781/4463*c_1001_10^8 + 1275363/4463*c_1001_10^7 + 554014/4463*c_1001_10^6 - 337778/4463*c_1001_10^5 - 544047/4463*c_1001_10^4 - 187272/4463*c_1001_10^3 + 54640/4463*c_1001_10^2 + 39278/4463*c_1001_10 - 874/4463, c_0011_8 + c_1001_10 + 1, c_0101_0 + 17479/4463*c_1001_10^11 + 137320/4463*c_1001_10^10 + 474544/4463*c_1001_10^9 + 902925/4463*c_1001_10^8 + 919323/4463*c_1001_10^7 + 273755/4463*c_1001_10^6 - 431653/4463*c_1001_10^5 - 474155/4463*c_1001_10^4 - 90795/4463*c_1001_10^3 + 89803/4463*c_1001_10^2 + 33056/4463*c_1001_10 - 1780/4463, c_0101_1 - 39298/4463*c_1001_10^11 - 319396/4463*c_1001_10^10 - 1143000/4463*c_1001_10^9 - 2307998/4463*c_1001_10^8 - 2698910/4463*c_1001_10^7 - 1471024/4463*c_1001_10^6 + 402915/4463*c_1001_10^5 + 1136506/4463*c_1001_10^4 + 577305/4463*c_1001_10^3 - 27720/4463*c_1001_10^2 - 102247/4463*c_1001_10 - 24701/4463, c_0101_11 + 32004/4463*c_1001_10^11 + 256875/4463*c_1001_10^10 + 898934/4463*c_1001_10^9 + 1744313/4463*c_1001_10^8 + 1885389/4463*c_1001_10^7 + 788605/4463*c_1001_10^6 - 579102/4463*c_1001_10^5 - 869769/4463*c_1001_10^4 - 275983/4463*c_1001_10^3 + 116387/4463*c_1001_10^2 + 63328/4463*c_1001_10 - 4555/4463, c_0101_8 - 9219/4463*c_1001_10^11 - 84388/4463*c_1001_10^10 - 345048/4463*c_1001_10^9 - 817365/4463*c_1001_10^8 - 1184868/4463*c_1001_10^7 - 958800/4463*c_1001_10^6 - 169228/4463*c_1001_10^5 + 457467/4463*c_1001_10^4 + 417706/4463*c_1001_10^3 + 70303/4463*c_1001_10^2 - 66644/4463*c_1001_10 - 20016/4463, c_0110_11 - 25977/4463*c_1001_10^11 - 200567/4463*c_1001_10^10 - 666819/4463*c_1001_10^9 - 1218412/4463*c_1001_10^8 - 1229229/4463*c_1001_10^7 - 473561/4463*c_1001_10^6 + 321554/4463*c_1001_10^5 + 442367/4463*c_1001_10^4 + 144856/4463*c_1001_10^3 - 20071/4463*c_1001_10^2 - 17502/4463*c_1001_10 - 5630/4463, c_1001_0 - 10780/4463*c_1001_10^11 - 84966/4463*c_1001_10^10 - 287008/4463*c_1001_10^9 - 532471/4463*c_1001_10^8 - 542486/4463*c_1001_10^7 - 185626/4463*c_1001_10^6 + 222846/4463*c_1001_10^5 + 295989/4463*c_1001_10^4 + 94768/4463*c_1001_10^3 - 45712/4463*c_1001_10^2 - 34759/4463*c_1001_10 + 2651/4463, c_1001_10^12 + 52/7*c_1001_10^11 + 167/7*c_1001_10^10 + 291/7*c_1001_10^9 + 258/7*c_1001_10^8 + 25/7*c_1001_10^7 - 180/7*c_1001_10^6 - 149/7*c_1001_10^5 - 2/7*c_1001_10^4 + 48/7*c_1001_10^3 + 12/7*c_1001_10^2 - 5/7*c_1001_10 - 1/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.480 Total time: 1.690 seconds, Total memory usage: 64.12MB