Magma V2.19-8 Wed Aug 21 2013 01:05:48 on localhost [Seed = 1259164664] Type ? for help. Type -D to quit. Loading file "L14n2788__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n2788 geometric_solution 11.47162836 oriented_manifold CS_known 0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 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 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 0.861950894337 3.513800266137 0 5 7 6 0132 0132 0132 0132 1 1 1 1 0 -1 0 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 4 1 -5 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.190488227771 0.758208007428 8 0 7 8 0132 0132 3012 0213 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 0 0 -1 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 0.250000000000 0.661437827766 9 7 10 0 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.263948709108 0.555538947579 11 11 0 12 0132 3120 0132 0132 1 1 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 0 0 0 0 1 -1 4 0 0 -4 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.175788792127 0.784432240503 8 1 10 8 1023 0132 1302 3012 1 1 1 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 0 0 0 0 0 -4 4 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 0.250000000000 0.661437827766 9 9 1 9 2103 1302 0132 3201 1 1 0 1 0 1 -1 0 -1 0 1 0 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 0 5 0 -5 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 0.689266466030 0.712990292292 11 2 3 1 2103 1230 2310 0132 1 1 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 0 0 0 1 0 -1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.289648138822 1.675990343955 2 5 5 2 0132 1023 1230 0213 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 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 0.250000000000 0.661437827766 3 6 6 6 0132 2310 2103 2031 0 1 1 1 0 2 -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 1 -1 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.689266466030 0.712990292292 5 12 12 3 2031 3012 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393075688879 0.636009824757 4 4 7 12 0132 3120 2103 3201 1 1 1 1 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 5 -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 1.393075688879 1.136009824757 10 11 4 10 1230 2310 0132 0132 1 1 1 1 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 -1 1 0 0 0 4 -4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393075688879 0.636009824757 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : negation(d['c_0011_12']), 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_3'], 'c_1001_4' : negation(d['c_0011_7']), 'c_1001_7' : negation(d['c_0110_5']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0110_5'], 'c_1001_3' : negation(d['c_0101_11']), 'c_1001_2' : negation(d['c_0011_7']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0101_11']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], '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' : negation(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' : negation(d['1']), 's_0_9' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0110_5'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_10'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0110_5'], 's_0_10' : d['1'], 'c_1100_9' : d['c_0011_6'], 'c_1100_11' : negation(d['c_0011_12']), 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_2'], 'c_1010_6' : negation(d['c_0011_6']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : d['c_0110_5'], 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : negation(d['c_0011_7']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(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_3']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_12'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_11'], 'c_0101_7' : d['c_0101_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0011_10']), 'c_0101_4' : d['c_0011_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_12'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_2']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_12'], 'c_0110_6' : negation(d['c_0011_6'])})} 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 64077435693/62148160*c_1100_0^3 - 11595511179/6214816*c_1100_0^2 - 49206653631/31074080*c_1100_0 - 4679692299/7768520, c_0011_0 - 1, c_0011_10 - 90/181*c_1100_0^3 - 42/181*c_1100_0^2 - 184/181*c_1100_0 - 122/543, c_0011_11 + 108/181*c_1100_0^3 + 159/181*c_1100_0^2 + 76/181*c_1100_0 + 436/543, c_0011_12 - 27/181*c_1100_0^3 + 96/181*c_1100_0^2 - 19/181*c_1100_0 + 24/181, c_0011_3 + 27/181*c_1100_0^3 - 96/181*c_1100_0^2 + 19/181*c_1100_0 - 253/543, c_0011_6 - 1, c_0011_7 + 90/181*c_1100_0^3 + 42/181*c_1100_0^2 + 184/181*c_1100_0 + 122/543, c_0101_0 - 27/181*c_1100_0^3 + 96/181*c_1100_0^2 - 19/181*c_1100_0 - 157/181, c_0101_11 + 180/181*c_1100_0^3 + 84/181*c_1100_0^2 + 187/181*c_1100_0 + 244/543, c_0101_2 - 1/3, c_0101_3 + 4/3, c_0110_5 - 45/181*c_1100_0^3 - 21/181*c_1100_0^2 - 92/181*c_1100_0 - 61/543, c_1100_0^4 + 2/3*c_1100_0^3 + 4/3*c_1100_0^2 + 16/27*c_1100_0 + 58/81 ], 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_12, c_0011_3, c_0011_6, c_0011_7, c_0101_0, c_0101_11, c_0101_2, c_0101_3, c_0110_5, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 194944720824612626677344/1392289781912178676249*c_1100_0^7 + 742271346366064962782424/6961448909560893381245*c_1100_0^6 + 124514422869101813759474/1392289781912178676249*c_1100_0^5 + 336637131819822952091583/6961448909560893381245*c_1100_0^4 + 2041415778910567984656823/89106546042379435279936*c_1100_0^3 - 2733932593290628576021701/222766365105948588199840*c_1100_0^2 + 2930083059183471853429597/44553273021189717639968*c_1100_0 - 2524192440242461899437/240049962398651495905, c_0011_0 - 1, c_0011_10 - 83143082766336/138792102290837*c_1100_0^7 - 151721231784960/138792102290837*c_1100_0^6 - 110738875070720/138792102290837*c_1100_0^5 - 133785272238720/138792102290837*c_1100_0^4 - 104114635119462/138792102290837*c_1100_0^3 - 127299480302250/138792102290837*c_1100_0^2 - 20856502625352/138792102290837*c_1100_0 - 1281594530070/4785934561753, c_0011_11 + 38982364241920/138792102290837*c_1100_0^7 + 291910982778880/138792102290837*c_1100_0^6 + 213047329477632/138792102290837*c_1100_0^5 + 251502235048320/138792102290837*c_1100_0^4 + 206332494337300/138792102290837*c_1100_0^3 + 212318287223135/138792102290837*c_1100_0^2 + 234410664560436/138792102290837*c_1100_0 + 4739975729260/4785934561753, c_0011_12 + 48336708814848/138792102290837*c_1100_0^7 - 44123732907520/138792102290837*c_1100_0^6 - 44456700231296/138792102290837*c_1100_0^5 - 28779300733120/138792102290837*c_1100_0^4 - 42074010647035/138792102290837*c_1100_0^3 + 12153567792800/138792102290837*c_1100_0^2 - 47994630822707/138792102290837*c_1100_0 - 2712335421560/4785934561753, c_0011_3 + 197918913185792/138792102290837*c_1100_0^7 - 124945341683200/138792102290837*c_1100_0^6 - 54385966792320/138792102290837*c_1100_0^5 - 116959404561600/138792102290837*c_1100_0^4 - 74420134691323/138792102290837*c_1100_0^3 - 121936970457440/138792102290837*c_1100_0^2 - 113351340858163/138792102290837*c_1100_0 - 7919264033693/4785934561753, c_0011_6 - 1, c_0011_7 + 83143082766336/138792102290837*c_1100_0^7 + 151721231784960/138792102290837*c_1100_0^6 + 110738875070720/138792102290837*c_1100_0^5 + 133785272238720/138792102290837*c_1100_0^4 + 104114635119462/138792102290837*c_1100_0^3 + 127299480302250/138792102290837*c_1100_0^2 + 20856502625352/138792102290837*c_1100_0 + 1281594530070/4785934561753, c_0101_0 - 48336708814848/138792102290837*c_1100_0^7 + 44123732907520/138792102290837*c_1100_0^6 + 44456700231296/138792102290837*c_1100_0^5 + 28779300733120/138792102290837*c_1100_0^4 + 42074010647035/138792102290837*c_1100_0^3 - 12153567792800/138792102290837*c_1100_0^2 + 47994630822707/138792102290837*c_1100_0 + 7498269983313/4785934561753, c_0101_11 - 166286165532672/138792102290837*c_1100_0^7 - 303442463569920/138792102290837*c_1100_0^6 - 221477750141440/138792102290837*c_1100_0^5 - 267570544477440/138792102290837*c_1100_0^4 - 208229270238924/138792102290837*c_1100_0^3 - 254598960604500/138792102290837*c_1100_0^2 - 180505107541541/138792102290837*c_1100_0 - 2563189060140/4785934561753, c_0101_2 - 826421018624/766807194977*c_1100_0^7 + 446528225280/766807194977*c_1100_0^6 + 54857826304/766807194977*c_1100_0^5 + 487182894080/766807194977*c_1100_0^4 + 178707867648/766807194977*c_1100_0^3 + 740831703040/766807194977*c_1100_0^2 + 361086795776/766807194977*c_1100_0 + 28767561393/26441627413, c_0101_3 - 826421018624/766807194977*c_1100_0^7 + 446528225280/766807194977*c_1100_0^6 + 54857826304/766807194977*c_1100_0^5 + 487182894080/766807194977*c_1100_0^4 + 178707867648/766807194977*c_1100_0^3 + 740831703040/766807194977*c_1100_0^2 + 361086795776/766807194977*c_1100_0 + 2325933980/26441627413, c_0110_5 - 171483859245056/138792102290837*c_1100_0^7 - 235692809012736/138792102290837*c_1100_0^6 - 300271395098240/138792102290837*c_1100_0^5 - 273735407510336/138792102290837*c_1100_0^4 - 309090617832287/138792102290837*c_1100_0^3 - 279546679556809/138792102290837*c_1100_0^2 - 279325001186612/138792102290837*c_1100_0 - 4204258669719/4785934561753, c_1100_0^8 + 5/4*c_1100_0^7 + 35/16*c_1100_0^6 + 65/32*c_1100_0^5 + 4397/2048*c_1100_0^4 + 2065/1024*c_1100_0^3 + 1039/512*c_1100_0^2 + 145/128*c_1100_0 + 841/1024 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.620 Total time: 0.830 seconds, Total memory usage: 32.09MB