Magma V2.19-8 Tue Aug 20 2013 23:44:18 on localhost [Seed = 1090987198] Type ? for help. Type -D to quit. Loading file "L14n26244__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n26244 geometric_solution 10.86479031 oriented_manifold CS_known -0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 0132 0132 0132 1 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 -0.123925969581 1.322152139079 0 5 6 6 0132 0132 0213 0132 0 1 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 0 0 0 1 0 -1 0 0 1 -1 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.336452523601 0.842223161932 3 0 8 7 1230 0132 0132 0132 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 -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 0.266592955295 0.822817673003 9 2 5 0 0132 3012 2103 0132 1 1 1 1 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 0 0 0 0 0 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508231733642 0.713179080377 8 8 0 10 2103 3120 0132 0132 1 1 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 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155098664457 0.988335492938 3 1 10 10 2103 0132 2310 2103 0 1 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 -1 2 -1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566150219239 0.788191362053 7 1 1 10 3012 0213 0132 2310 0 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 1 -1 -1 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 0.577180943607 0.732600419144 9 9 2 6 1023 1230 0132 1230 1 1 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 0 0 0 0 -1 1 0 0 1 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589606665614 0.879056674290 9 4 4 2 3012 3120 2103 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479982869584 0.825467289118 3 7 7 8 0132 1023 3012 1230 1 1 1 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 2 0 -2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.532622415861 0.675298924025 6 5 4 5 3201 3201 0132 2103 1 1 0 1 0 1 -1 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 -3 3 0 0 0 0 0 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.398845577044 0.836924030642 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0011_8']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_4']), 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_1001_1']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : d['c_0011_10'], 'c_1100_1' : d['c_0011_10'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : negation(d['c_0101_10']), 'c_1100_10' : negation(d['c_0110_5']), 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : negation(d['c_0011_4']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : negation(d['c_0011_4']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : 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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), '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_0110_10' : negation(d['c_0011_10']), 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_8'], 'c_0101_4' : d['c_0011_6'], 'c_0101_3' : d['c_0011_8'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_6'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_6'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_6'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : negation(d['c_0101_10'])})} 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_4, c_0011_6, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0110_5, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 162893911506144207869580417/151706608166604416975456*c_0110_5^9 - 628893600815974922399892529/151706608166604416975456*c_0110_5^8 - 1390718890290654798056794091/151706608166604416975456*c_0110_5^7 + 1761070607474082706481246715/151706608166604416975456*c_0110_5^6 + 31520824606786983368850640865/151706608166604416975456*c_0110_5^5 - 21348139634815220193569593995/151706608166604416975456*c_0110_5^4 - 150228263062341065952006609753/151706608166604416975456*c_0110_5^3 - 5165118154817661888234369613/75853304083302208487728*c_0110_5^2 + 367514219401602983092420016043/151706608166604416975456*c_0110_5 - 223466764521491389306782739525/151706608166604416975456, c_0011_0 - 1, c_0011_10 + 29493876719798/6670547529454853*c_0110_5^9 - 90403669985681/6670547529454853*c_0110_5^8 - 310049432789519/6670547529454853*c_0110_5^7 + 45417677828907/6670547529454853*c_0110_5^6 + 5570069342669509/6670547529454853*c_0110_5^5 + 515040756319180/6670547529454853*c_0110_5^4 - 24669825388941014/6670547529454853*c_0110_5^3 - 19834625174285905/6670547529454853*c_0110_5^2 + 41737358068644861/6670547529454853*c_0110_5 - 8334509993383531/6670547529454853, c_0011_3 + 9463003489135/6670547529454853*c_0110_5^9 - 35581165315139/6670547529454853*c_0110_5^8 - 120171406103713/6670547529454853*c_0110_5^7 + 83259796195328/6670547529454853*c_0110_5^6 + 2227384366527846/6670547529454853*c_0110_5^5 + 137244210778297/6670547529454853*c_0110_5^4 - 11808767858476620/6670547529454853*c_0110_5^3 - 13437771342729357/6670547529454853*c_0110_5^2 + 15452780334651493/6670547529454853*c_0110_5 + 2870855613978247/6670547529454853, c_0011_4 + 1043423533874/6670547529454853*c_0110_5^9 - 4605111172703/6670547529454853*c_0110_5^8 - 34736962845469/6670547529454853*c_0110_5^7 + 21973143684348/6670547529454853*c_0110_5^6 + 480952735438325/6670547529454853*c_0110_5^5 + 637389382215886/6670547529454853*c_0110_5^4 - 3391589032354805/6670547529454853*c_0110_5^3 - 7819348519821371/6670547529454853*c_0110_5^2 + 404075556402305/6670547529454853*c_0110_5 + 2837591100351765/6670547529454853, c_0011_6 + 1592727009238/606413411768623*c_0110_5^9 - 6515230471072/606413411768623*c_0110_5^8 - 16006756103856/606413411768623*c_0110_5^7 + 20599920375098/606413411768623*c_0110_5^6 + 346741125359685/606413411768623*c_0110_5^5 - 152174586602544/606413411768623*c_0110_5^4 - 1811943131656663/606413411768623*c_0110_5^3 - 1031405468540377/606413411768623*c_0110_5^2 + 3411073125085601/606413411768623*c_0110_5 - 723902052211806/606413411768623, c_0011_8 - 29493876719798/6670547529454853*c_0110_5^9 + 90403669985681/6670547529454853*c_0110_5^8 + 310049432789519/6670547529454853*c_0110_5^7 - 45417677828907/6670547529454853*c_0110_5^6 - 5570069342669509/6670547529454853*c_0110_5^5 - 515040756319180/6670547529454853*c_0110_5^4 + 24669825388941014/6670547529454853*c_0110_5^3 + 19834625174285905/6670547529454853*c_0110_5^2 - 48407905598099714/6670547529454853*c_0110_5 + 8334509993383531/6670547529454853, c_0101_0 - 11973879618180/6670547529454853*c_0110_5^9 + 18736134803889/6670547529454853*c_0110_5^8 + 133975115647103/6670547529454853*c_0110_5^7 + 181181446297171/6670547529454853*c_0110_5^6 - 1755916963712974/6670547529454853*c_0110_5^5 - 2188961208947164/6670547529454853*c_0110_5^4 + 4738450940717721/6670547529454853*c_0110_5^3 + 8489165020341758/6670547529454853*c_0110_5^2 - 4215553692703250/6670547529454853*c_0110_5 + 371587419053665/6670547529454853, c_0101_10 + 16569400674495/6670547529454853*c_0110_5^9 - 55919772210251/6670547529454853*c_0110_5^8 - 183605238837765/6670547529454853*c_0110_5^7 + 94866014472982/6670547529454853*c_0110_5^6 + 3448553086612379/6670547529454853*c_0110_5^5 - 227999033099149/6670547529454853*c_0110_5^4 - 16846637344530365/6670547529454853*c_0110_5^3 - 13690795622044615/6670547529454853*c_0110_5^2 + 34763079503346500/6670547529454853*c_0110_5 - 5855238441661032/6670547529454853, c_0101_2 + 2850512185887/6670547529454853*c_0110_5^9 + 7994583966276/6670547529454853*c_0110_5^8 - 48878389414480/6670547529454853*c_0110_5^7 - 165459164794288/6670547529454853*c_0110_5^6 + 179862197403749/6670547529454853*c_0110_5^5 + 2187959222174204/6670547529454853*c_0110_5^4 + 946642084154907/6670547529454853*c_0110_5^3 - 4693362230633933/6670547529454853*c_0110_5^2 - 6587050530009078/6670547529454853*c_0110_5 + 3025389538036842/6670547529454853, c_0110_5^10 - 4*c_0110_5^9 - 8*c_0110_5^8 + 12*c_0110_5^7 + 192*c_0110_5^6 - 158*c_0110_5^5 - 904*c_0110_5^4 + 65*c_0110_5^3 + 2265*c_0110_5^2 - 1686*c_0110_5 + 191, c_1001_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB