Magma V2.19-8 Tue Aug 20 2013 23:39:18 on localhost [Seed = 1899435296] Type ? for help. Type -D to quit. Loading file "K13n193__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n193 geometric_solution 10.02815498 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 3 0132 0132 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 -1 1 0 0 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443465102922 0.601194983561 0 4 2 5 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.441417645170 0.884251797683 6 0 3 1 0132 0132 3201 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.253918585107 0.922365797680 2 0 4 0 2310 2310 2031 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.059123840700 0.747850442092 7 1 7 3 0132 0132 3120 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.471848993718 0.448030002783 6 8 1 9 3201 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 -7 8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.347207214524 1.009798477877 2 8 9 5 0132 3201 2031 2310 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 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.770623997075 0.882548657425 4 8 4 10 0132 2310 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.471848993718 0.448030002783 10 5 6 7 1023 0132 2310 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 1 -8 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.579811913734 1.655489614395 10 10 5 6 3201 2031 0132 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.391017016682 1.350443615993 9 8 7 9 1302 1023 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.277496843737 0.615360118999 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : negation(d['c_0101_0']), 'c_1001_10' : d['c_0101_8'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_1001_4']), 'c_1001_6' : negation(d['c_0101_8']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0101_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0101_9'], 'c_1010_10' : negation(d['c_0101_8']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : negation(d['c_0011_9']), '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_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' : d['c_0101_6'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0101_6'], 'c_1100_4' : d['c_0101_3'], 'c_1100_7' : d['c_0011_9'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_6'], 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_9'], 'c_1010_7' : d['c_0101_8'], 'c_1010_6' : negation(d['c_0101_9']), 'c_1010_5' : d['c_0101_9'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : d['c_1001_4'], '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_9'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_0']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0101_7' : negation(d['c_0101_3']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_9']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_0']), '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_8'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0101_8']), '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_9'], 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_7' : negation(d['c_0011_9']), 'c_1100_8' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_3, c_0101_6, c_0101_8, c_0101_9, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 208436587545367/549723050019*c_1001_4^11 + 4696602484546261/549723050019*c_1001_4^10 - 43598427844012757/549723050019*c_1001_4^9 + 212569259219916008/549723050019*c_1001_4^8 - 612347254518557221/549723050019*c_1001_4^7 + 84327249940908559/42286388463*c_1001_4^6 - 1217263541659139930/549723050019*c_1001_4^5 + 777541136163748025/549723050019*c_1001_4^4 - 69340171385436101/183241016673*c_1001_4^3 - 10561583823300377/183241016673*c_1001_4^2 + 18506561125723703/549723050019*c_1001_4 + 1212634131093628/183241016673, c_0011_0 - 1, c_0011_10 + 69557868/77024387*c_1001_4^11 - 1492259403/77024387*c_1001_4^10 + 12995046074/77024387*c_1001_4^9 - 58094592542/77024387*c_1001_4^8 + 151654477685/77024387*c_1001_4^7 - 244660183511/77024387*c_1001_4^6 + 243840797817/77024387*c_1001_4^5 - 138534929937/77024387*c_1001_4^4 + 31204239188/77024387*c_1001_4^3 + 6248983326/77024387*c_1001_4^2 - 2668573920/77024387*c_1001_4 - 638931818/77024387, c_0011_3 + 16307088/77024387*c_1001_4^11 - 315561430/77024387*c_1001_4^10 + 2365874411/77024387*c_1001_4^9 - 8316052610/77024387*c_1001_4^8 + 15654901621/77024387*c_1001_4^7 - 16373015501/77024387*c_1001_4^6 + 9142495011/77024387*c_1001_4^5 - 2683505855/77024387*c_1001_4^4 + 1180797344/77024387*c_1001_4^3 - 831993115/77024387*c_1001_4^2 + 101726723/77024387*c_1001_4 + 94886971/77024387, c_0011_9 + 5334486/77024387*c_1001_4^11 - 115147993/77024387*c_1001_4^10 + 1012443118/77024387*c_1001_4^9 - 4601778669/77024387*c_1001_4^8 + 12342579742/77024387*c_1001_4^7 - 20833711600/77024387*c_1001_4^6 + 22584812553/77024387*c_1001_4^5 - 15417131437/77024387*c_1001_4^4 + 6146296492/77024387*c_1001_4^3 - 1119399450/77024387*c_1001_4^2 - 90364709/77024387*c_1001_4 + 63037278/77024387, c_0101_0 + 53747912/77024387*c_1001_4^11 - 1127759744/77024387*c_1001_4^10 + 9514679299/77024387*c_1001_4^9 - 40515571240/77024387*c_1001_4^8 + 99126791747/77024387*c_1001_4^7 - 147372806421/77024387*c_1001_4^6 + 132508050737/77024387*c_1001_4^5 - 65197590558/77024387*c_1001_4^4 + 10134124260/77024387*c_1001_4^3 + 4245019646/77024387*c_1001_4^2 - 1124856960/77024387*c_1001_4 - 309544016/77024387, c_0101_1 + 28364675/77024387*c_1001_4^11 - 616477665/77024387*c_1001_4^10 + 5462607033/77024387*c_1001_4^9 - 25025104072/77024387*c_1001_4^8 + 67232231500/77024387*c_1001_4^7 - 111980089853/77024387*c_1001_4^6 + 115826736879/77024387*c_1001_4^5 - 69253796921/77024387*c_1001_4^4 + 17544221449/77024387*c_1001_4^3 + 2560648221/77024387*c_1001_4^2 - 1583029752/77024387*c_1001_4 - 222368070/77024387, c_0101_3 - 65805499/77024387*c_1001_4^11 + 1428675979/77024387*c_1001_4^10 - 12611411921/77024387*c_1001_4^9 + 57224622702/77024387*c_1001_4^8 - 150704121626/77024387*c_1001_4^7 + 242979880773/77024387*c_1001_4^6 - 239192292605/77024387*c_1001_4^5 + 131767881624/77024387*c_1001_4^4 - 26497548365/77024387*c_1001_4^3 - 7637660982/77024387*c_1001_4^2 + 2809613435/77024387*c_1001_4 + 626799057/77024387, c_0101_6 + 59082398/77024387*c_1001_4^11 - 1242907737/77024387*c_1001_4^10 + 10527122417/77024387*c_1001_4^9 - 45117349909/77024387*c_1001_4^8 + 111469371489/77024387*c_1001_4^7 - 168206518021/77024387*c_1001_4^6 + 155092863290/77024387*c_1001_4^5 - 80614721995/77024387*c_1001_4^4 + 16280420752/77024387*c_1001_4^3 + 3125620196/77024387*c_1001_4^2 - 1138197282/77024387*c_1001_4 - 246506738/77024387, c_0101_8 + 45779141/77024387*c_1001_4^11 - 992560486/77024387*c_1001_4^10 + 8761353071/77024387*c_1001_4^9 - 39875062518/77024387*c_1001_4^8 + 106032620477/77024387*c_1001_4^7 - 173960728197/77024387*c_1001_4^6 + 176008376392/77024387*c_1001_4^5 - 101856043338/77024387*c_1001_4^4 + 24516700331/77024387*c_1001_4^3 + 3307932766/77024387*c_1001_4^2 - 1594926225/77024387*c_1001_4 - 415808695/77024387, c_0101_9 + 5906958/77024387*c_1001_4^11 - 129048688/77024387*c_1001_4^10 + 1147793665/77024387*c_1001_4^9 - 5254985702/77024387*c_1001_4^8 + 13932856108/77024387*c_1001_4^7 - 22480994905/77024387*c_1001_4^6 + 21929142635/77024387*c_1001_4^5 - 11618031567/77024387*c_1001_4^4 + 1712351458/77024387*c_1001_4^3 + 1112051260/77024387*c_1001_4^2 - 250300329/77024387*c_1001_4 - 117077949/77024387, c_1001_4^12 - 23*c_1001_4^11 + 220*c_1001_4^10 - 1124*c_1001_4^9 + 3470*c_1001_4^8 - 6877*c_1001_4^7 + 8911*c_1001_4^6 - 7367*c_1001_4^5 + 3502*c_1001_4^4 - 602*c_1001_4^3 - 176*c_1001_4^2 + 53*c_1001_4 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.410 Total time: 0.620 seconds, Total memory usage: 32.09MB