Magma V2.19-8 Tue Aug 20 2013 16:18:36 on localhost [Seed = 711702296] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2782 geometric_solution 6.01928519 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 2 0 0 0132 0132 1230 3012 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827653771736 0.847422216369 0 3 5 4 0132 0132 0132 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563583929062 0.916205660656 3 0 4 5 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 0 -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 -1 0 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 0.563583929062 0.916205660656 6 1 2 6 0132 0132 3201 3201 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 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.002547818719 0.557346510410 2 4 1 4 2310 2310 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.976284883241 1.190003162667 2 5 5 1 3201 3201 2310 0132 0 0 0 0 0 0 0 0 -1 0 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 1 -1 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 0.197008347388 0.570938930492 3 3 6 6 0132 2310 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.233259248360 0.727413340558 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_0' : negation(d['1']), 's_2_0' : negation(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_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : d['c_0101_3'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_0011_4']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_6'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_2']), 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : negation(d['c_0101_6']), 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_4, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t - 60863673255456/918250415873*c_0101_6^20 + 301073155814320/918250415873*c_0101_6^18 - 168273724790912/918250415873*c_0101_6^16 - 947192005558894/918250415873*c_0101_6^14 + 898332810073267/918250415873*c_0101_6^12 + 2736469892377691/1836500831746*c_0101_6^10 - 8941038655599621/3673001663492*c_0101_6^8 + 2584717692143169/3673001663492*c_0101_6^6 + 677957299561351/1836500831746*c_0101_6^4 - 389718738394653/3673001663492*c_0101_6^2 - 107447739333383/3673001663492, c_0011_0 - 1, c_0011_4 + 2543742314576/918250415873*c_0101_6^21 - 11480415505952/918250415873*c_0101_6^19 + 1029262210640/918250415873*c_0101_6^17 + 45317426196739/918250415873*c_0101_6^15 - 22361164800109/918250415873*c_0101_6^13 - 322799928594957/3673001663492*c_0101_6^11 + 314163122730629/3673001663492*c_0101_6^9 + 93882797580003/3673001663492*c_0101_6^7 - 188951542793457/3673001663492*c_0101_6^5 + 30453676913313/3673001663492*c_0101_6^3 + 12013586470831/3673001663492*c_0101_6, c_0101_0 + 16440717983492/918250415873*c_0101_6^21 - 84442049584352/918250415873*c_0101_6^19 + 60377399664108/918250415873*c_0101_6^17 + 989763000972007/3673001663492*c_0101_6^15 - 1145476092099771/3673001663492*c_0101_6^13 - 5191043269213289/14692006653968*c_0101_6^11 + 10618241671787039/14692006653968*c_0101_6^9 - 4532859298704469/14692006653968*c_0101_6^7 - 756333855520471/14692006653968*c_0101_6^5 + 496918360607169/14692006653968*c_0101_6^3 + 45282592623449/14692006653968*c_0101_6, c_0101_1 - 4875496039196/918250415873*c_0101_6^20 + 25615346544640/918250415873*c_0101_6^18 - 21185031996612/918250415873*c_0101_6^16 - 279371862313745/3673001663492*c_0101_6^14 + 373521198454949/3673001663492*c_0101_6^12 + 1307630525958287/14692006653968*c_0101_6^10 - 3299412712758321/14692006653968*c_0101_6^8 + 1811737561558847/14692006653968*c_0101_6^6 - 45892236873271/14692006653968*c_0101_6^4 - 132475347125319/14692006653968*c_0101_6^2 - 2283318525099/14692006653968, c_0101_2 + 6356566928/1328871803*c_0101_6^21 - 30296610608/1328871803*c_0101_6^19 + 12129638096/1328871803*c_0101_6^17 + 100103227951/1328871803*c_0101_6^15 - 73162157680/1328871803*c_0101_6^13 - 613169017093/5315487212*c_0101_6^11 + 396735490063/2657743606*c_0101_6^9 - 32947012069/1328871803*c_0101_6^7 - 114839279787/5315487212*c_0101_6^5 - 4285078313/1328871803*c_0101_6^3 + 5680626363/2657743606*c_0101_6, c_0101_3 + 1486224032/1328871803*c_0101_6^20 - 6940062688/1328871803*c_0101_6^18 + 1973726000/1328871803*c_0101_6^16 + 24570058838/1328871803*c_0101_6^14 - 15334887664/1328871803*c_0101_6^12 - 80801600403/2657743606*c_0101_6^10 + 45715503665/1328871803*c_0101_6^8 + 3551779247/5315487212*c_0101_6^6 - 14217214138/1328871803*c_0101_6^4 - 949971573/2657743606*c_0101_6^2 + 5712772645/5315487212, c_0101_6^22 - 5*c_0101_6^20 + 3*c_0101_6^18 + 247/16*c_0101_6^16 - 123/8*c_0101_6^14 - 1389/64*c_0101_6^12 + 601/16*c_0101_6^10 - 99/8*c_0101_6^8 - 149/32*c_0101_6^6 + 25/16*c_0101_6^4 + 5/16*c_0101_6^2 - 1/64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB