Magma V2.19-8 Wed Aug 21 2013 00:55:26 on localhost [Seed = 4190102407] Type ? for help. Type -D to quit. Loading file "L13a6857__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a6857 geometric_solution 11.42000125 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 2 2 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 -1 0 0 0 0 0 1 -1 0 0 3 -2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391365860235 0.559780543082 0 5 6 5 0132 0132 0132 0213 1 2 0 2 0 1 0 -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 0 0 0 0 4 -1 -3 0 0 0 0 -3 3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.598962633546 0.543235261182 7 0 9 8 0132 0132 0132 0132 2 0 0 2 0 0 0 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 -1 1 0 0 0 0 0 -2 2 0 0 5 1 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594261314358 0.936807674250 10 6 4 0 0132 2031 2310 0132 2 2 0 2 0 0 0 0 0 0 0 0 0 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.391365860235 0.559780543082 4 3 0 4 3201 3201 0132 2310 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.838902100186 1.199903008792 10 1 8 1 2310 0132 2103 0213 1 0 2 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 -4 1 3 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 0.598962633546 0.543235261182 3 8 8 1 1302 2103 2031 0132 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 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 0.083960000443 0.830811807852 2 11 12 12 0132 0132 0132 2031 0 0 2 0 0 -1 0 1 0 0 0 0 -1 0 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 -5 0 0 5 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547979276363 1.285694063026 5 6 2 6 2103 2103 0132 1302 2 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 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 0.598962633546 0.543235261182 12 11 10 2 0132 1230 2310 0132 2 0 2 0 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 1 0 -1 -1 0 1 0 -6 0 0 6 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.480778348446 1.754636420546 3 9 5 11 0132 3201 3201 2310 0 2 2 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 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.594261314358 0.936807674250 10 7 9 12 3201 0132 3012 1302 0 2 0 2 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 -3 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 1.020057715915 0.808706260193 9 7 11 7 0132 1302 2031 0132 0 0 0 2 0 0 0 0 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 0 0 0 1 0 -1 0 0 -2 0 2 6 -5 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.835467906631 0.868919706354 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0101_11'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_1']), 'c_1001_2' : d['c_0101_11'], 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : d['c_1001_7'], 'c_1010_10' : d['c_0101_12'], 's_3_11' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : negation(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_0'], '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_2_7' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_8'], 'c_1100_4' : d['c_0011_4'], 'c_1100_7' : negation(d['c_1001_7']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_10'], 's_0_10' : negation(d['1']), 'c_1100_9' : d['c_0011_10'], 'c_1100_11' : d['c_0101_12'], 'c_1100_10' : negation(d['c_0011_0']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_1'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_0101_11'], 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_1001_1']), 'c_1100_8' : d['c_0011_10'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1001_7']), 's_1_7' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_12']), 'c_0110_10' : negation(d['c_0101_11']), 'c_0110_12' : d['c_0101_5'], 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_11']), 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_5'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : negation(d['c_0011_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_5'], 'c_0110_5' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_12, c_0011_4, c_0011_6, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 319365154871574370280946/983528996596593509309*c_1001_7^10 - 1938091221586495118431269/983528996596593509309*c_1001_7^9 + 339048657178021825837295/5819698204713571061*c_1001_7^8 + 116791034045367356429570234/983528996596593509309*c_1001_7^7 + 21542361251829193820082790/75656076661276423793*c_1001_7^6 - 18602404842866573888594458/26581864772880905657*c_1001_7^5 - 274437110189126882090979861/983528996596593509309*c_1001_7^4 + 454851888033926129885991338/983528996596593509309*c_1001_7^3 + 242529080640979508136842066/983528996596593509309*c_1001_7^2 + 20028466490684719868664556/983528996596593509309*c_1001_7 + 4670713730789286795701760/983528996596593509309, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 - 69097220958235571337/1092760255208140535377*c_1001_7^10 + 426261696888648316446/1092760255208140535377*c_1001_7^9 - 12440451846605344711083/1092760255208140535377*c_1001_7^8 - 24015466536586217052274/1092760255208140535377*c_1001_7^7 - 58271833304869390616487/1092760255208140535377*c_1001_7^6 + 4181703735093234412390/29534060951571365821*c_1001_7^5 + 43620926439706822358664/1092760255208140535377*c_1001_7^4 - 101123226535078650375378/1092760255208140535377*c_1001_7^3 - 43317722711106110576106/1092760255208140535377*c_1001_7^2 - 388918625273974914176/1092760255208140535377*c_1001_7 - 1168611433166172793345/1092760255208140535377, c_0011_4 - 37476456508440178926/1092760255208140535377*c_1001_7^10 + 232731464847016435178/1092760255208140535377*c_1001_7^9 - 6760285994020057219217/1092760255208140535377*c_1001_7^8 - 12728217303976492413631/1092760255208140535377*c_1001_7^7 - 31680723759229252675143/1092760255208140535377*c_1001_7^6 + 2265553812995442211054/29534060951571365821*c_1001_7^5 + 17051396234353053364944/1092760255208140535377*c_1001_7^4 - 48970733123606540432098/1092760255208140535377*c_1001_7^3 - 16438438716026575096514/1092760255208140535377*c_1001_7^2 - 4859218149563225597199/1092760255208140535377*c_1001_7 - 2516812526194281385097/1092760255208140535377, c_0011_6 + 20443478295964733154/1092760255208140535377*c_1001_7^10 - 133039328392369444033/1092760255208140535377*c_1001_7^9 + 3725167851397824624100/1092760255208140535377*c_1001_7^8 + 5846608948670978403326/1092760255208140535377*c_1001_7^7 + 15160807466300847027261/1092760255208140535377*c_1001_7^6 - 1385541283910099573955/29534060951571365821*c_1001_7^5 + 3785928471180281601064/1092760255208140535377*c_1001_7^4 + 29490049134661974090692/1092760255208140535377*c_1001_7^3 + 5850339786437805004454/1092760255208140535377*c_1001_7^2 - 2649684735752579747118/1092760255208140535377*c_1001_7 + 810681077609688564654/1092760255208140535377, c_0011_8 - 20443478295964733154/1092760255208140535377*c_1001_7^10 + 133039328392369444033/1092760255208140535377*c_1001_7^9 - 3725167851397824624100/1092760255208140535377*c_1001_7^8 - 5846608948670978403326/1092760255208140535377*c_1001_7^7 - 15160807466300847027261/1092760255208140535377*c_1001_7^6 + 1385541283910099573955/29534060951571365821*c_1001_7^5 - 3785928471180281601064/1092760255208140535377*c_1001_7^4 - 29490049134661974090692/1092760255208140535377*c_1001_7^3 - 5850339786437805004454/1092760255208140535377*c_1001_7^2 + 2649684735752579747118/1092760255208140535377*c_1001_7 + 282079177598451970723/1092760255208140535377, c_0101_0 - 20443478295964733154/1092760255208140535377*c_1001_7^10 + 133039328392369444033/1092760255208140535377*c_1001_7^9 - 3725167851397824624100/1092760255208140535377*c_1001_7^8 - 5846608948670978403326/1092760255208140535377*c_1001_7^7 - 15160807466300847027261/1092760255208140535377*c_1001_7^6 + 1385541283910099573955/29534060951571365821*c_1001_7^5 - 3785928471180281601064/1092760255208140535377*c_1001_7^4 - 29490049134661974090692/1092760255208140535377*c_1001_7^3 - 5850339786437805004454/1092760255208140535377*c_1001_7^2 + 2649684735752579747118/1092760255208140535377*c_1001_7 - 810681077609688564654/1092760255208140535377, c_0101_1 - 1, c_0101_11 - 69631893098623147000/1092760255208140535377*c_1001_7^10 + 416314082669045285128/1092760255208140535377*c_1001_7^9 - 12460558707341015171979/1092760255208140535377*c_1001_7^8 - 26551875967814996409044/1092760255208140535377*c_1001_7^7 - 64327275141899759613963/1092760255208140535377*c_1001_7^6 + 3859887434615228948141/29534060951571365821*c_1001_7^5 + 68890294678363797090672/1092760255208140535377*c_1001_7^4 - 81193632836879274290498/1092760255208140535377*c_1001_7^3 - 60104981181169665551105/1092760255208140535377*c_1001_7^2 - 16753353999467307829992/1092760255208140535377*c_1001_7 - 4414550939147001060095/1092760255208140535377, c_0101_12 - 86995953184504323274/1092760255208140535377*c_1001_7^10 + 519693833193611846045/1092760255208140535377*c_1001_7^9 - 15556965200288244795035/1092760255208140535377*c_1001_7^8 - 33303338164484538800415/1092760255208140535377*c_1001_7^7 - 79038443521215985604084/1092760255208140535377*c_1001_7^6 + 4883312334026210295192/29534060951571365821*c_1001_7^5 + 93669427799425765174371/1092760255208140535377*c_1001_7^4 - 120376888635623569559933/1092760255208140535377*c_1001_7^3 - 77441363235391272448164/1092760255208140535377*c_1001_7^2 - 10530718434248911315123/1092760255208140535377*c_1001_7 - 1603654955662540300242/1092760255208140535377, c_0101_5 + 22627259040411546454/1092760255208140535377*c_1001_7^10 - 139631938648111882488/1092760255208140535377*c_1001_7^9 + 4075928301458487141578/1092760255208140535377*c_1001_7^8 + 7845372543296054171497/1092760255208140535377*c_1001_7^7 + 19388518315653395991277/1092760255208140535377*c_1001_7^6 - 1353824985418094862601/29534060951571365821*c_1001_7^5 - 12645770162205892687884/1092760255208140535377*c_1001_7^4 + 29457268008421766913108/1092760255208140535377*c_1001_7^3 + 13908793176415362325673/1092760255208140535377*c_1001_7^2 + 3088596666337629087470/1092760255208140535377*c_1001_7 + 161682064088228836748/1092760255208140535377, c_1001_1 - 1, c_1001_7^11 - 6*c_1001_7^10 + 179*c_1001_7^9 + 378*c_1001_7^8 + 902*c_1001_7^7 - 2095*c_1001_7^6 - 1007*c_1001_7^5 + 1365*c_1001_7^4 + 857*c_1001_7^3 + 115*c_1001_7^2 + 19*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB