Magma V2.19-8 Wed Aug 21 2013 01:02:36 on localhost [Seed = 1157848762] Type ? for help. Type -D to quit. Loading file "L14n15351__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n15351 geometric_solution 12.63346383 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 1 0 0 0 1 -1 0 0 0 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 1 11 -12 0 0 0 0 11 -11 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352135171305 0.899530126099 0 5 7 6 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 -1 0 0 1 -11 0 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.274422097006 0.659333324401 8 0 10 9 0132 0132 0132 0132 1 1 0 1 0 0 0 0 0 0 1 -1 -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 -1 1 0 0 0 12 -12 1 0 0 -1 0 11 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995384522313 1.205481947744 8 11 7 0 2031 0132 3012 0132 1 1 0 1 0 0 1 -1 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 11 -11 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 0.876821565956 0.856546544720 10 11 0 6 2031 0321 0132 2103 1 1 1 1 0 0 1 -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 0 12 -12 -1 0 0 1 -1 0 0 1 -12 12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.352135171305 0.899530126099 12 1 11 8 0132 0132 2103 0213 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 0 0.636166195313 0.994085314990 12 9 1 4 3012 1023 0132 2103 1 1 1 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 1 0 0 -1 0 -12 0 12 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.164491248345 1.143823685536 9 3 10 1 3012 1230 3012 0132 1 1 1 1 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 11 0 0 -11 0 -11 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.560794084230 1.142676032828 2 12 3 5 0132 0132 1302 0213 1 1 1 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 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293075458242 0.762490417180 6 11 2 7 1023 0213 0132 1230 1 1 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 -1 0 12 -11 12 -12 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.293075458242 0.762490417180 12 7 4 2 2310 1230 1302 0132 1 1 1 1 0 0 0 0 0 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 1 -1 0 0 12 -12 0 -11 0 11 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.592719369970 0.493246013134 5 3 9 4 2103 0132 0213 0321 1 1 1 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 12 -12 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.754879513025 0.685959725056 5 8 10 6 0132 0132 3201 1230 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 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 0.653873227883 0.705269149479 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_0110_4'], 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : d['c_0101_7'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0101_3'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_7']), 'c_1001_2' : d['c_0101_7'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0101_0'], 'c_1010_12' : d['c_0101_0'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_6'], 'c_0101_10' : negation(d['c_0011_4']), '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_12' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_0110_4']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_7'], 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_3'], 'c_1010_6' : d['c_0011_7'], 'c_1010_5' : d['c_0101_3'], 'c_1010_4' : negation(d['c_0011_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_11'], 'c_1010_0' : d['c_0101_7'], 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_0101_3'], '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'], 'c_1100_12' : negation(d['c_0011_10']), '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_6'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_4']), 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0011_6'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], '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_0101_3'], 'c_0101_2' : negation(d['c_0101_12']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_7'], 'c_0110_8' : negation(d['c_0101_12']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0011_10'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 349220/119*c_1001_0^5 + 400502/119*c_1001_0^4 - 363093/119*c_1001_0^3 + 824937/238*c_1001_0^2 + 413009/119*c_1001_0 + 145539/238, c_0011_0 - 1, c_0011_10 - 800/119*c_1001_0^5 - 124/119*c_1001_0^4 + 1488/119*c_1001_0^3 - 1961/119*c_1001_0^2 + 370/119*c_1001_0 + 314/119, c_0011_11 + 20/7*c_1001_0^5 + 8/7*c_1001_0^4 - 33/7*c_1001_0^3 + 38/7*c_1001_0^2 - 4/7*c_1001_0 - 4/7, c_0011_4 - 256/119*c_1001_0^5 - 192/119*c_1001_0^4 + 400/119*c_1001_0^3 - 380/119*c_1001_0^2 - 72/119*c_1001_0 + 110/119, c_0011_6 - 20/7*c_1001_0^5 - 8/7*c_1001_0^4 + 33/7*c_1001_0^3 - 38/7*c_1001_0^2 + 4/7*c_1001_0 + 4/7, c_0011_7 - 440/119*c_1001_0^5 - 92/119*c_1001_0^4 + 866/119*c_1001_0^3 - 1025/119*c_1001_0^2 + 25/119*c_1001_0 + 256/119, c_0101_0 + 24/7*c_1001_0^5 + 4/7*c_1001_0^4 - 48/7*c_1001_0^3 + 54/7*c_1001_0^2 - 2/7*c_1001_0 - 9/7, c_0101_1 - 1, c_0101_12 - 1056/119*c_1001_0^5 - 316/119*c_1001_0^4 + 1888/119*c_1001_0^3 - 2341/119*c_1001_0^2 + 60/119*c_1001_0 + 424/119, c_0101_3 - 800/119*c_1001_0^5 - 124/119*c_1001_0^4 + 1488/119*c_1001_0^3 - 1961/119*c_1001_0^2 + 370/119*c_1001_0 + 314/119, c_0101_7 - 928/119*c_1001_0^5 - 220/119*c_1001_0^4 + 1688/119*c_1001_0^3 - 2151/119*c_1001_0^2 + 215/119*c_1001_0 + 488/119, c_0110_4 + 488/119*c_1001_0^5 + 128/119*c_1001_0^4 - 822/119*c_1001_0^3 + 1126/119*c_1001_0^2 - 190/119*c_1001_0 - 113/119, c_1001_0^6 + 1/2*c_1001_0^5 - 7/4*c_1001_0^4 + 15/8*c_1001_0^3 + 3/8*c_1001_0^2 - 1/2*c_1001_0 - 1/8 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_6, c_0011_7, c_0101_0, c_0101_1, c_0101_12, c_0101_3, c_0101_7, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 5087915222/817641375*c_1001_0^10 - 3534490541/817641375*c_1001_0^9 - 2378589922/35549625*c_1001_0^8 - 1270124597/6541131*c_1001_0^7 - 13428937058/163528275*c_1001_0^6 + 2034559788/54509425*c_1001_0^5 + 24507656032/272547125*c_1001_0^4 + 14472390697/817641375*c_1001_0^3 - 53580667524/272547125*c_1001_0^2 + 306430903/817641375*c_1001_0 - 38731383044/817641375, c_0011_0 - 1, c_0011_10 - 8360897/98116965*c_1001_0^10 + 3991237/98116965*c_1001_0^9 - 775718/853191*c_1001_0^8 - 145538368/98116965*c_1001_0^7 + 23783506/19623393*c_1001_0^6 + 51744301/32705655*c_1001_0^5 + 21002524/10901885*c_1001_0^4 - 42633937/19623393*c_1001_0^3 - 36541352/32705655*c_1001_0^2 + 176551021/98116965*c_1001_0 + 5842853/19623393, c_0011_11 - 5291887/98116965*c_1001_0^10 + 4855718/98116965*c_1001_0^9 - 2654069/4265955*c_1001_0^8 - 68070881/98116965*c_1001_0^7 + 83884762/98116965*c_1001_0^6 - 9834343/32705655*c_1001_0^5 + 14149781/10901885*c_1001_0^4 - 81391036/98116965*c_1001_0^3 - 1045634/6541131*c_1001_0^2 + 90632843/98116965*c_1001_0 - 9928862/19623393, c_0011_4 + 4242007/32705655*c_1001_0^10 - 1468246/10901885*c_1001_0^9 + 1955459/1421985*c_1001_0^8 + 50933041/32705655*c_1001_0^7 - 120565727/32705655*c_1001_0^6 - 48940141/32705655*c_1001_0^5 - 28559414/32705655*c_1001_0^4 + 38315657/10901885*c_1001_0^3 + 2594922/2180377*c_1001_0^2 - 98324558/32705655*c_1001_0 + 2030749/2180377, c_0011_6 + 1765039/98116965*c_1001_0^10 - 1173329/98116965*c_1001_0^9 + 121285/853191*c_1001_0^8 + 30103916/98116965*c_1001_0^7 - 17719691/19623393*c_1001_0^6 - 37616167/32705655*c_1001_0^5 + 4796936/32705655*c_1001_0^4 + 3432866/19623393*c_1001_0^3 + 50835199/32705655*c_1001_0^2 - 32496227/98116965*c_1001_0 - 8159287/19623393, c_0011_7 - 353915/19623393*c_1001_0^10 - 5287351/98116965*c_1001_0^9 - 584186/4265955*c_1001_0^8 - 96226262/98116965*c_1001_0^7 - 57474572/98116965*c_1001_0^6 + 20541138/10901885*c_1001_0^5 + 36629699/32705655*c_1001_0^4 + 63409121/98116965*c_1001_0^3 - 36980797/32705655*c_1001_0^2 - 138107332/98116965*c_1001_0 + 23917984/19623393, c_0101_0 - 8360897/98116965*c_1001_0^10 + 3991237/98116965*c_1001_0^9 - 775718/853191*c_1001_0^8 - 145538368/98116965*c_1001_0^7 + 23783506/19623393*c_1001_0^6 + 51744301/32705655*c_1001_0^5 + 21002524/10901885*c_1001_0^4 - 42633937/19623393*c_1001_0^3 - 36541352/32705655*c_1001_0^2 + 78434056/98116965*c_1001_0 + 5842853/19623393, c_0101_1 - 1, c_0101_12 - 9694531/98116965*c_1001_0^10 + 14986418/98116965*c_1001_0^9 - 4847633/4265955*c_1001_0^8 - 11058157/19623393*c_1001_0^7 + 291045094/98116965*c_1001_0^6 - 1068203/6541131*c_1001_0^5 + 19435666/10901885*c_1001_0^4 - 398794897/98116965*c_1001_0^3 + 4509773/32705655*c_1001_0^2 + 180491537/98116965*c_1001_0 - 22004381/19623393, c_0101_3 + 2282396/32705655*c_1001_0^10 - 3293288/32705655*c_1001_0^9 + 1128523/1421985*c_1001_0^8 + 1115732/2180377*c_1001_0^7 - 21589118/10901885*c_1001_0^6 + 1262992/6541131*c_1001_0^5 + 2285221/32705655*c_1001_0^4 + 90133912/32705655*c_1001_0^3 - 19194688/10901885*c_1001_0^2 - 63505012/32705655*c_1001_0 + 2878154/6541131, c_0101_7 - 1, c_0110_4 - 162731/32705655*c_1001_0^10 - 337304/6541131*c_1001_0^9 + 1259/1421985*c_1001_0^8 - 7666522/10901885*c_1001_0^7 - 6415364/10901885*c_1001_0^6 + 35070691/32705655*c_1001_0^5 - 765845/6541131*c_1001_0^4 + 9229781/32705655*c_1001_0^3 - 8736813/10901885*c_1001_0^2 + 21977221/32705655*c_1001_0 + 4242007/6541131, c_1001_0^11 - c_1001_0^10 + 11*c_1001_0^9 + 12*c_1001_0^8 - 23*c_1001_0^7 - 7*c_1001_0^6 - 15*c_1001_0^5 + 28*c_1001_0^4 + 7*c_1001_0^3 - 17*c_1001_0^2 + 2*c_1001_0 - 5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.200 Total time: 0.400 seconds, Total memory usage: 32.09MB