Magma V2.19-8 Sat Sep 14 2013 22:29:02 on localhost [Seed = 911310693] Type ? for help. Type -D to quit. Loading file "11_367__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_367 geometric_solution 16.06055060 oriented_manifold CS_known 0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 17 1 2 3 3 0132 0132 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 -1 1 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 0.042323282167 1.099576535652 0 4 5 2 0132 0132 0132 1023 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 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.519514020085 0.914734940371 6 0 3 1 0132 0132 3201 1023 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 1 -1 0 -4 0 0 4 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230831633159 0.452894699358 2 6 0 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 0 0 0 0 0 1 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.042323282167 1.099576535652 7 1 8 9 0132 0132 0132 0132 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 -4 0 4 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 0.911214178681 0.886104891605 10 8 6 1 0132 0132 1023 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 -3 3 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 0.045129400502 1.614862682058 2 7 5 3 0132 0132 1023 3201 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 -1 0 1 4 0 -3 -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 0.519514020085 0.914734940371 4 6 10 11 0132 0132 1023 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 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 0.911214178681 0.886104891605 12 5 13 4 0132 0132 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 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 0 0 0 0 0 0 0.438398814934 1.214726242012 14 13 4 15 0132 0132 0132 0132 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 -4 4 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 0.302819033298 1.008918095307 5 16 7 13 0132 0132 1023 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 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 0.438398814934 1.214726242012 15 13 7 14 3201 3201 0132 3201 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 1 0 0 -1 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.302819033298 1.008918095307 8 16 15 16 0132 1023 3201 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 1 -1 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 0.251239164459 0.555013958072 10 9 11 8 3201 0132 2310 0132 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 -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 0 0 0 0 0 0.678028118479 0.631987450768 9 11 15 16 0132 2310 0213 1023 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 3 -4 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 0.330626922311 0.491494060236 12 14 9 11 2310 0213 0132 2310 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 4 -4 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.330626922311 0.491494060236 12 10 12 14 1023 0132 2031 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.251239164459 0.555013958072 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_1001_13'], 'c_1001_14' : d['c_1001_13'], 'c_1001_16' : negation(d['c_0101_8']), 'c_1001_11' : negation(d['c_0101_13']), 'c_1001_10' : d['c_0101_7'], 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_15']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_6'], 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : negation(d['c_0101_13']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_1'], 'c_1010_13' : d['c_1001_1'], 'c_1010_12' : negation(d['c_0110_11']), 'c_1010_11' : negation(d['c_1001_13']), 'c_1010_10' : negation(d['c_0101_8']), 'c_1010_16' : d['c_0101_7'], 'c_1010_15' : negation(d['c_0110_11']), 'c_1010_14' : negation(d['c_0110_11']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_0_16' : d['1'], 's_3_16' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 'c_0101_16' : negation(d['c_0011_15']), 'c_0101_15' : d['c_0011_15'], 'c_0101_14' : d['c_0011_15'], '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_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_16' : d['1'], 's_2_14' : 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_15' : d['c_0011_15'], 'c_0011_14' : d['c_0011_13'], 'c_0011_16' : negation(d['c_0011_10']), 'c_1100_9' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : negation(d['c_0011_13']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_0101_3'], 'c_1100_3' : d['c_0101_3'], 'c_1100_2' : negation(d['c_0011_3']), 'c_1100_14' : negation(d['c_0110_11']), 'c_1100_15' : d['c_0011_11'], 's_0_10' : d['1'], 'c_1100_16' : d['c_0110_11'], 'c_1100_11' : negation(d['c_0011_13']), 'c_1100_10' : d['c_0011_13'], 'c_1100_13' : d['c_0011_11'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : negation(d['c_0101_13']), 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_1001_1'], 's_0_13' : d['1'], 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_6'], 'c_1010_0' : negation(d['c_0101_3']), 's_3_15' : d['1'], 'c_1010_9' : d['c_1001_13'], 's_0_15' : d['1'], 'c_1100_8' : d['c_0011_11'], '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_15']), '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' : negation(d['c_0011_13']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : d['c_0101_13'], '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_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_13']), 'c_0110_13' : d['c_0101_8'], 'c_0110_12' : d['c_0101_8'], 'c_0110_15' : negation(d['c_0101_11']), 'c_0110_14' : d['c_0101_7'], 'c_0110_16' : negation(d['c_0110_11']), 'c_1010_4' : d['c_1001_1'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : negation(d['c_0011_0']), 's_0_8' : d['1'], 's_2_15' : d['1'], 'c_1010_8' : d['c_0101_6'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0101_13']), 'c_0101_4' : d['c_0101_11'], '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_7'], 'c_0101_8' : d['c_0101_8'], 's_1_16' : d['1'], 's_1_15' : d['1'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_15'], 'c_0110_8' : d['c_0101_11'], '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_1'], 'c_0110_4' : d['c_0101_7'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 18 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_15, c_0011_3, c_0101_0, c_0101_1, c_0101_11, c_0101_13, c_0101_3, c_0101_6, c_0101_7, c_0101_8, c_0110_11, c_1001_1, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 135075937105/46212297373*c_1001_13^10 - 400613438271/46212297373*c_1001_13^9 + 23284608733/46212297373*c_1001_13^8 + 43042562534/4201117943*c_1001_13^7 - 1382528489791/46212297373*c_1001_13^6 - 3123279373237/46212297373*c_1001_13^5 - 142983641320/4201117943*c_1001_13^4 + 940581055522/46212297373*c_1001_13^3 + 489783402308/46212297373*c_1001_13^2 - 1028814533734/46212297373*c_1001_13 - 392154858830/46212297373, c_0011_0 - 1, c_0011_10 + 50255/5279*c_1001_13^10 - 182829/5279*c_1001_13^9 + 117248/5279*c_1001_13^8 + 173479/5279*c_1001_13^7 - 759007/5279*c_1001_13^6 - 624229/5279*c_1001_13^5 + 139576/5279*c_1001_13^4 + 15185/5279*c_1001_13^3 - 59289/5279*c_1001_13^2 - 110345/5279*c_1001_13 - 77186/5279, c_0011_11 + 21360/5279*c_1001_13^10 - 77443/5279*c_1001_13^9 + 47779/5279*c_1001_13^8 + 79228/5279*c_1001_13^7 - 328433/5279*c_1001_13^6 - 266244/5279*c_1001_13^5 + 66648/5279*c_1001_13^4 + 13178/5279*c_1001_13^3 - 26642/5279*c_1001_13^2 - 53560/5279*c_1001_13 - 35367/5279, c_0011_13 + 21360/5279*c_1001_13^10 - 77443/5279*c_1001_13^9 + 47779/5279*c_1001_13^8 + 79228/5279*c_1001_13^7 - 328433/5279*c_1001_13^6 - 266244/5279*c_1001_13^5 + 66648/5279*c_1001_13^4 + 13178/5279*c_1001_13^3 - 26642/5279*c_1001_13^2 - 53560/5279*c_1001_13 - 35367/5279, c_0011_15 + 8594/5279*c_1001_13^10 - 30551/5279*c_1001_13^9 + 17228/5279*c_1001_13^8 + 32626/5279*c_1001_13^7 - 129849/5279*c_1001_13^6 - 115241/5279*c_1001_13^5 + 15237/5279*c_1001_13^4 + 2883/5279*c_1001_13^3 - 10993/5279*c_1001_13^2 - 26255/5279*c_1001_13 - 18045/5279, c_0011_3 + 1, c_0101_0 + 13500/5279*c_1001_13^10 - 48575/5279*c_1001_13^9 + 29886/5279*c_1001_13^8 + 46515/5279*c_1001_13^7 - 200830/5279*c_1001_13^6 - 175212/5279*c_1001_13^5 + 25337/5279*c_1001_13^4 + 4503/5279*c_1001_13^3 - 16868/5279*c_1001_13^2 - 32131/5279*c_1001_13 - 17830/5279, c_0101_1 - 21867/5279*c_1001_13^10 + 78886/5279*c_1001_13^9 - 47557/5279*c_1001_13^8 - 82541/5279*c_1001_13^7 + 338169/5279*c_1001_13^6 + 274429/5279*c_1001_13^5 - 64072/5279*c_1001_13^4 + 417/5279*c_1001_13^3 + 31677/5279*c_1001_13^2 + 47328/5279*c_1001_13 + 34711/5279, c_0101_11 + 1027/5279*c_1001_13^10 - 2923/5279*c_1001_13^9 - 2074/5279*c_1001_13^8 + 10501/5279*c_1001_13^7 - 14578/5279*c_1001_13^6 - 31334/5279*c_1001_13^5 + 14409/5279*c_1001_13^4 + 26605/5279*c_1001_13^3 - 2619/5279*c_1001_13^2 - 3890/5279*c_1001_13 - 1243/5279, c_0101_13 + 24595/5279*c_1001_13^10 - 90305/5279*c_1001_13^9 + 60419/5279*c_1001_13^8 + 83541/5279*c_1001_13^7 - 377946/5279*c_1001_13^6 - 284932/5279*c_1001_13^5 + 69120/5279*c_1001_13^4 + 2567/5279*c_1001_13^3 - 23794/5279*c_1001_13^2 - 58360/5279*c_1001_13 - 38095/5279, c_0101_3 + 11817/5279*c_1001_13^10 - 44191/5279*c_1001_13^9 + 33403/5279*c_1001_13^8 + 32956/5279*c_1001_13^7 - 181037/5279*c_1001_13^6 - 119710/5279*c_1001_13^5 + 22393/5279*c_1001_13^4 - 20838/5279*c_1001_13^3 - 5277/5279*c_1001_13^2 - 21238/5279*c_1001_13 - 15572/5279, c_0101_6 + 21867/5279*c_1001_13^10 - 78886/5279*c_1001_13^9 + 47557/5279*c_1001_13^8 + 82541/5279*c_1001_13^7 - 338169/5279*c_1001_13^6 - 274429/5279*c_1001_13^5 + 64072/5279*c_1001_13^4 - 417/5279*c_1001_13^3 - 31677/5279*c_1001_13^2 - 47328/5279*c_1001_13 - 34711/5279, c_0101_7 - 1027/5279*c_1001_13^10 + 2923/5279*c_1001_13^9 + 2074/5279*c_1001_13^8 - 10501/5279*c_1001_13^7 + 14578/5279*c_1001_13^6 + 31334/5279*c_1001_13^5 - 14409/5279*c_1001_13^4 - 26605/5279*c_1001_13^3 + 2619/5279*c_1001_13^2 + 3890/5279*c_1001_13 + 1243/5279, c_0101_8 + 49228/5279*c_1001_13^10 - 179906/5279*c_1001_13^9 + 119322/5279*c_1001_13^8 + 162978/5279*c_1001_13^7 - 744429/5279*c_1001_13^6 - 592895/5279*c_1001_13^5 + 125167/5279*c_1001_13^4 - 11420/5279*c_1001_13^3 - 56670/5279*c_1001_13^2 - 106455/5279*c_1001_13 - 75943/5279, c_0110_11 - 8594/5279*c_1001_13^10 + 30551/5279*c_1001_13^9 - 17228/5279*c_1001_13^8 - 32626/5279*c_1001_13^7 + 129849/5279*c_1001_13^6 + 115241/5279*c_1001_13^5 - 15237/5279*c_1001_13^4 - 2883/5279*c_1001_13^3 + 10993/5279*c_1001_13^2 + 26255/5279*c_1001_13 + 18045/5279, c_1001_1 + 24595/5279*c_1001_13^10 - 90305/5279*c_1001_13^9 + 60419/5279*c_1001_13^8 + 83541/5279*c_1001_13^7 - 377946/5279*c_1001_13^6 - 284932/5279*c_1001_13^5 + 69120/5279*c_1001_13^4 + 2567/5279*c_1001_13^3 - 23794/5279*c_1001_13^2 - 58360/5279*c_1001_13 - 38095/5279, c_1001_13^11 - 3*c_1001_13^10 + 5*c_1001_13^8 - 13*c_1001_13^7 - 22*c_1001_13^6 - 5*c_1001_13^5 + 2*c_1001_13^4 - c_1001_13^3 - 3*c_1001_13^2 - 3*c_1001_13 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 13697.980 Total time: 13698.270 seconds, Total memory usage: 54575.84MB