Magma V2.19-8 Mon Sep 9 2013 19:25:50 on localhost [Seed = 1462459854] Type ? for help. Type -D to quit. Loading file "10^2_38__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_38 geometric_solution 14.96263029 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 16 1 1 2 3 0132 1230 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.261533609139 0.694266774453 0 4 0 5 0132 0132 3012 0132 0 0 0 1 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 1 0 -1 0 0 3 0 -3 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524835262932 1.261371685357 6 7 8 0 0132 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 -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 0.113340770659 1.594083138598 9 9 0 10 0132 1302 0132 0132 0 0 0 1 0 0 0 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 0 0 0 0 0 0 0 3 -1 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524835262932 1.261371685357 11 1 7 11 0132 0132 2103 2031 0 0 1 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 1 0 -1 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.069322176557 1.152685257261 9 6 1 7 2103 2103 0132 3012 0 0 0 0 0 -1 0 1 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 -2 0 2 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 0.386572722474 0.738903463889 2 5 10 12 0132 2103 2103 0132 0 0 0 0 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 0.589969610080 0.763340671476 4 2 5 13 2103 0132 1230 0132 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 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.434637433064 0.401535583122 14 15 10 2 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462789507943 0.540272781566 3 11 5 3 0132 1230 2103 2031 0 0 1 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 1 0 -1 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.261533609139 0.694266774453 6 13 3 8 2103 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.032060794726 0.867233018118 4 4 9 13 0132 1302 3012 1230 0 0 0 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 1 -1 -3 0 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.948014431691 0.864413109284 14 13 6 15 2103 2103 0132 2103 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 1 0 -1 0 0 0 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.925443479161 0.930718833793 11 12 7 10 3012 2103 0132 0321 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 1 -1 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.863789398575 1.556768538378 8 15 12 15 0132 0213 2103 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.737471700455 0.500071306288 14 8 14 12 3120 0132 0213 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 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 0.737471700455 0.500071306288 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_15' : d['c_0011_12'], 'c_1001_14' : d['c_0011_12'], 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0110_5'], 'c_1001_13' : d['c_0011_12'], 'c_1001_12' : d['c_0011_13'], 'c_1001_5' : negation(d['c_0011_2']), 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_10'], 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_1001_8'], 'c_1010_13' : d['c_1001_8'], 'c_1010_12' : negation(d['c_1001_8']), 'c_1010_11' : d['c_0101_13'], 'c_1010_10' : d['c_1001_8'], 'c_1010_15' : d['c_1001_8'], 'c_1010_14' : negation(d['c_0011_14']), '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_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_3'], 'c_0101_10' : d['c_0101_0'], 'c_0101_15' : d['c_0011_14'], 'c_0101_14' : d['c_0101_12'], '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_0_8' : d['1'], 's_2_15' : 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_14'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0110_5']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1001_0']), 'c_1100_4' : negation(d['c_0101_13']), 'c_1100_7' : d['c_0110_5'], 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_1001_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1100_14' : negation(d['c_0011_14']), 's_0_15' : d['1'], 'c_1100_15' : negation(d['c_0011_14']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_1100_0'], 'c_1100_13' : d['c_0110_5'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0011_13'], 'c_1010_5' : negation(d['c_0011_13']), 's_0_13' : d['1'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : d['c_0101_1'], 's_3_15' : d['1'], 'c_1010_9' : d['c_0011_3'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_1100_0'], '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_0101_8']), '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_3']), 'c_0011_8' : negation(d['c_0011_14']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0011_13'], 'c_0110_10' : d['c_0101_8'], 'c_0110_13' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0011_14'], 'c_0110_15' : d['c_0101_8'], 'c_0110_14' : d['c_0101_8'], 'c_1010_4' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 's_2_14' : d['1'], 's_0_9' : d['1'], 'c_0101_7' : d['c_0011_13'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_13'], 'c_0101_3' : d['c_0101_1'], '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_0'], 'c_0101_8' : d['c_0101_8'], '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_0101_1'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_0']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : d['c_0101_13'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['1'], 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 17 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_13, c_0011_14, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_12, c_0101_13, c_0101_8, c_0110_5, c_1001_0, c_1001_8, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 41174544330035264069465874023599/6894315122798046855395837100*c_110\ 0_0^14 - 4227217095121322116862591000343/20891864008478929864835870\ 0*c_1100_0^13 - 9408429469923863891589816499397/2298105040932682285\ 131945700*c_1100_0^12 - 78702214742830390106982834372207/2298105040\ 932682285131945700*c_1100_0^11 + 55053667649418801140445229752481/1\ 14905252046634114256597285*c_1100_0^10 - 211030174695678512658162979422581/6894315122798046855395837100*c_11\ 00_0^9 - 150995348047170909280581337739478/574526260233170571282986\ 425*c_1100_0^8 - 334879519750662256366851283695493/3133779601271839\ 47972538050*c_1100_0^7 + 1659774144661114287814667707099349/6267559\ 20254367895945076100*c_1100_0^6 + 369497767941995310918186021758078\ 8/1723578780699511713848959275*c_1100_0^5 + 112415998391619539000887594529007/91924201637307291405277828*c_1100\ _0^4 - 5101008062104189621545966051357557/1378863024559609371079167\ 420*c_1100_0^3 + 3142754422137908234135320256458819/689431512279804\ 6855395837100*c_1100_0^2 + 942478353584886174668401449640143/459621\ 008186536457026389140*c_1100_0 + 2865960331060210931528785512697491\ /2298105040932682285131945700, c_0011_0 - 1, c_0011_10 - 525776326536788524996/196088178990358437897069*c_1100_0^14 + 485768354712637132366/65362726330119479299023*c_1100_0^13 + 1405049787156779395916/196088178990358437897069*c_1100_0^12 + 1193665106150883976694/65362726330119479299023*c_1100_0^11 - 13638266752525120294472/65362726330119479299023*c_1100_0^10 - 22179231391576415141108/196088178990358437897069*c_1100_0^9 + 17246891624777772376462/196088178990358437897069*c_1100_0^8 + 122393998895888566223995/196088178990358437897069*c_1100_0^7 - 183803398718987052298601/196088178990358437897069*c_1100_0^6 - 31052098870854117533456/21787575443373159766341*c_1100_0^5 - 281190509901971605862996/196088178990358437897069*c_1100_0^4 + 4017199564237538003425/2420841715930351085149*c_1100_0^3 + 113264372634995391286055/196088178990358437897069*c_1100_0^2 - 41388876496908487301500/196088178990358437897069*c_1100_0 - 21198324983169086211425/21787575443373159766341, c_0011_12 + 4657987294658497153/7262525147791053255447*c_1100_0^14 - 24177363018398363/7262525147791053255447*c_1100_0^13 - 72451043076616362556/7262525147791053255447*c_1100_0^12 + 21161660497396678454/7262525147791053255447*c_1100_0^11 + 92362492973663567826/2420841715930351085149*c_1100_0^10 + 433464928049449464790/2420841715930351085149*c_1100_0^9 - 1452550362003367369133/7262525147791053255447*c_1100_0^8 - 384447679373294727619/2420841715930351085149*c_1100_0^7 - 37753389552386176591/7262525147791053255447*c_1100_0^6 + 9076046235651751647644/7262525147791053255447*c_1100_0^5 + 434313865764696446081/2420841715930351085149*c_1100_0^4 - 2062802985648069847873/7262525147791053255447*c_1100_0^3 - 11990042593252265406652/7262525147791053255447*c_1100_0^2 + 777634658552008551691/2420841715930351085149*c_1100_0 + 2121034876818286724816/7262525147791053255447, c_0011_13 + c_1100_0, c_0011_14 + 243181372589256509116/65362726330119479299023*c_1100_0^14 - 271859994501961347064/21787575443373159766341*c_1100_0^13 - 379683425366711815559/65362726330119479299023*c_1100_0^12 - 237275770087911768245/21787575443373159766341*c_1100_0^11 + 6439974085073439327401/21787575443373159766341*c_1100_0^10 + 527167493186442610619/65362726330119479299023*c_1100_0^9 - 25470604575867284379340/65362726330119479299023*c_1100_0^8 - 37738444831500428078314/65362726330119479299023*c_1100_0^7 + 110089915702166248241174/65362726330119479299023*c_1100_0^6 + 12499050267334240733834/7262525147791053255447*c_1100_0^5 - 30947480325612951382732/65362726330119479299023*c_1100_0^4 - 19634906092195434995753/7262525147791053255447*c_1100_0^3 - 13987445503623449559134/65362726330119479299023*c_1100_0^2 + 134997829023171139546321/65362726330119479299023*c_1100_0 + 777834695387830267938/2420841715930351085149, c_0011_2 + 876670888776592171687/196088178990358437897069*c_1100_0^14 - 956989145893940991277/65362726330119479299023*c_1100_0^13 - 1042243938358353851594/196088178990358437897069*c_1100_0^12 - 1454264616440211238184/65362726330119479299023*c_1100_0^11 + 22702810837509045550262/65362726330119479299023*c_1100_0^10 + 5658544490035905753374/196088178990358437897069*c_1100_0^9 - 50040547574966653776424/196088178990358437897069*c_1100_0^8 - 131484054145217916496585/196088178990358437897069*c_1100_0^7 + 342760358729202369164441/196088178990358437897069*c_1100_0^6 + 42726453660468657232949/21787575443373159766341*c_1100_0^5 + 160364860719140234596784/196088178990358437897069*c_1100_0^4 - 17602547531012702621333/7262525147791053255447*c_1100_0^3 - 70802596464987314381225/196088178990358437897069*c_1100_0^2 + 393739229292820128476785/196088178990358437897069*c_1100_0 + 23926228859466910379273/21787575443373159766341, c_0011_3 + 10342569281074318350/2420841715930351085149*c_1100_0^14 - 34572225536644378335/2420841715930351085149*c_1100_0^13 + 3078821306186818865/7262525147791053255447*c_1100_0^12 - 91695356225474457581/2420841715930351085149*c_1100_0^11 + 2479971340552554727733/7262525147791053255447*c_1100_0^10 - 102712518022496437079/2420841715930351085149*c_1100_0^9 + 931636290171950922965/7262525147791053255447*c_1100_0^8 - 5694817970082215690647/7262525147791053255447*c_1100_0^7 + 14292729563768394173240/7262525147791053255447*c_1100_0^6 + 2122146237114564818648/2420841715930351085149*c_1100_0^5 + 17835970715916847214017/7262525147791053255447*c_1100_0^4 - 11087939196571654780258/7262525147791053255447*c_1100_0^3 + 16150872172265293448188/7262525147791053255447*c_1100_0^2 + 692854227701452830459/2420841715930351085149*c_1100_0 + 2724526725325789701997/2420841715930351085149, c_0101_0 - 1, c_0101_1 + 3544517693421423285/2420841715930351085149*c_1100_0^14 - 65134236992632728965/7262525147791053255447*c_1100_0^13 + 29639940539028547481/2420841715930351085149*c_1100_0^12 - 59810128781164233833/7262525147791053255447*c_1100_0^11 + 371619319330428714179/2420841715930351085149*c_1100_0^10 - 2358910850960206855265/7262525147791053255447*c_1100_0^9 - 386612767189483499153/7262525147791053255447*c_1100_0^8 - 2688366830403008984540/7262525147791053255447*c_1100_0^7 + 3369758051135898225202/2420841715930351085149*c_1100_0^6 - 7162439217848150676817/7262525147791053255447*c_1100_0^5 - 5667023038768740946742/7262525147791053255447*c_1100_0^4 - 21239416258553858076388/7262525147791053255447*c_1100_0^3 + 3164924114139267914091/2420841715930351085149*c_1100_0^2 - 1608209747128723911446/2420841715930351085149*c_1100_0 + 837748111767019786350/2420841715930351085149, c_0101_12 + 15883929172427320889/7262525147791053255447*c_1100_0^14 - 46698097894095375004/7262525147791053255447*c_1100_0^13 - 42545061145342470149/7262525147791053255447*c_1100_0^12 - 19877081476139070016/2420841715930351085149*c_1100_0^11 + 1181666446530217539496/7262525147791053255447*c_1100_0^10 + 585097707972123894196/7262525147791053255447*c_1100_0^9 - 1357066395731084765147/7262525147791053255447*c_1100_0^8 - 713015932051859342569/2420841715930351085149*c_1100_0^7 + 1499139195223759328281/2420841715930351085149*c_1100_0^6 + 9149726557553837167540/7262525147791053255447*c_1100_0^5 + 424404668902794934532/2420841715930351085149*c_1100_0^4 - 3649787555834665359157/7262525147791053255447*c_1100_0^3 - 8280148222906263888298/7262525147791053255447*c_1100_0^2 + 1649173973132277032437/2420841715930351085149*c_1100_0 + 172819080291031728520/7262525147791053255447, c_0101_13 + 509197250308485194233/196088178990358437897069*c_1100_0^14 - 489042107661886480753/65362726330119479299023*c_1100_0^13 - 1197194853172784461394/196088178990358437897069*c_1100_0^12 - 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