Magma V2.19-8 Wed Aug 21 2013 00:58:36 on localhost [Seed = 1663400426] Type ? for help. Type -D to quit. Loading file "L13n5910__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5910 geometric_solution 11.66894835 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 0 0 0 0 0 -1 1 1 0 -1 0 1 -2 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.675126146219 0.549128575748 0 2 6 5 0132 0321 0132 0132 0 1 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 -1 0 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 0.602314359895 0.424357639774 7 0 8 1 0132 0132 0132 0321 0 0 1 0 0 0 0 0 1 0 0 -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 0 0 0 1 0 0 -1 1 -1 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.577721469532 1.501333741836 9 6 10 0 0132 3012 0132 0132 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 0 0 0 0 -1 0 1 0 0 -1 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 0.108553134025 0.725077751186 9 11 0 5 1302 0132 0132 2103 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 1 -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 0.217929517055 0.988721058177 9 6 1 4 2103 3201 0132 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.077170637143 1.087300536103 3 8 5 1 1230 0213 2310 0132 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 1 0 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 0.787398822344 0.964546997499 2 12 12 8 0132 0132 1302 3201 0 0 0 1 0 0 0 0 -1 0 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 -1 0 1 0 0 0 0 0 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.553497750342 1.160332320280 11 7 6 2 3201 2310 0213 0132 0 0 0 0 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 0 0 2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.334898903410 0.702069739964 3 4 5 10 0132 2031 2103 0132 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 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 1.175773259930 1.254630077569 12 11 9 3 3201 3012 0132 0132 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 -1 0 0 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 0.173611266272 0.617242964561 10 4 12 8 1230 0132 3120 2310 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 -1 -1 2 -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 -0.334898903410 0.702069739964 7 7 11 10 2031 0132 3120 2310 0 0 1 0 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 0 0 0 0 0 0 0 -3 2 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665101096590 0.702069739964 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0101_6']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0101_2']), 'c_1001_9' : d['c_0011_5'], 'c_1001_8' : d['c_1001_11'], 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : d['c_0011_10'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_10']), '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' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : 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' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : 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_1001_1'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_0110_5']), 'c_1100_7' : negation(d['c_0011_8']), 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_0110_5']), 'c_1100_3' : negation(d['c_0110_5']), 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_11' : d['c_0011_8'], 'c_1100_10' : negation(d['c_0110_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_11']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_1001_11']), 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0101_6']), 'c_1010_0' : negation(d['c_0101_2']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : negation(d['c_0101_2']), 's_3_1' : d['1'], 's_3_0' : negation(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'], 'c_1100_12' : d['c_0011_10'], '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' : negation(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_5'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_10'], 'c_0110_10' : d['c_0101_10'], 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0101_7' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_10']), '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_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0011_3']})} 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_3, c_0011_5, c_0011_8, c_0101_0, c_0101_10, c_0101_2, c_0101_6, c_0110_5, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1152389408918610348869/52884351491704*c_1001_11^7 + 23101741024891165063287/105768702983408*c_1001_11^6 + 20810608308727890237679/13221087872926*c_1001_11^5 + 38704575631082730926803/6610543936463*c_1001_11^4 + 1823748023200683036800255/105768702983408*c_1001_11^3 + 2596387304663429866254317/105768702983408*c_1001_11^2 + 604535120305654508638513/13221087872926*c_1001_11 - 2212573575480168040337/594206196536, c_0011_0 - 1, c_0011_10 + 24067317/7818502586*c_1001_11^7 + 241012587/7818502586*c_1001_11^6 + 852333001/3909251293*c_1001_11^5 + 6444978583/7818502586*c_1001_11^4 + 9327086244/3909251293*c_1001_11^3 + 28896456667/7818502586*c_1001_11^2 + 23316874792/3909251293*c_1001_11 - 419480754/3909251293, c_0011_11 - 14682335/15637005172*c_1001_11^7 - 212264849/15637005172*c_1001_11^6 - 794645205/7818502586*c_1001_11^5 - 7623764019/15637005172*c_1001_11^4 - 5716840831/3909251293*c_1001_11^3 - 43972530555/15637005172*c_1001_11^2 - 26443605489/7818502586*c_1001_11 + 200965955/7818502586, c_0011_3 - 132277979/31274010344*c_1001_11^7 - 339441955/7818502586*c_1001_11^6 - 4973872399/15637005172*c_1001_11^5 - 37908140941/31274010344*c_1001_11^4 - 113101745065/31274010344*c_1001_11^3 - 20637855236/3909251293*c_1001_11^2 - 145358030065/15637005172*c_1001_11 - 1687661781/3909251293, c_0011_5 + 28088934/3909251293*c_1001_11^7 + 578557457/7818502586*c_1001_11^6 + 2064983403/3909251293*c_1001_11^5 + 7782446650/3909251293*c_1001_11^4 + 44793489765/7818502586*c_1001_11^3 + 64533727979/7818502586*c_1001_11^2 + 55536618498/3909251293*c_1001_11 - 2457791769/3909251293, c_0011_8 - 6701211/3909251293*c_1001_11^7 - 262571679/15637005172*c_1001_11^6 - 466957537/3909251293*c_1001_11^5 - 3414854659/7818502586*c_1001_11^4 - 19494448441/15637005172*c_1001_11^3 - 26921112873/15637005172*c_1001_11^2 - 13661292261/3909251293*c_1001_11 - 26430459/7818502586, c_0101_0 - 1, c_0101_10 - 40114458/3909251293*c_1001_11^7 - 1613612117/15637005172*c_1001_11^6 - 2920108878/3909251293*c_1001_11^5 - 21926672239/7818502586*c_1001_11^4 - 129975842839/15637005172*c_1001_11^3 - 189583698167/15637005172*c_1001_11^2 - 86407853866/3909251293*c_1001_11 - 185418429/7818502586, c_0101_2 + 2737527/7818502586*c_1001_11^7 + 10779546/3909251293*c_1001_11^6 + 81582073/3909251293*c_1001_11^5 + 384730735/7818502586*c_1001_11^4 + 840275953/7818502586*c_1001_11^3 - 987671897/3909251293*c_1001_11^2 + 96458437/3909251293*c_1001_11 + 445911213/3909251293, c_0101_6 + 113698207/15637005172*c_1001_11^7 + 1124859561/15637005172*c_1001_11^6 + 4067982037/7818502586*c_1001_11^5 + 30078881531/15637005172*c_1001_11^4 + 22511786799/3909251293*c_1001_11^3 + 129350528239/15637005172*c_1001_11^2 + 126317051293/7818502586*c_1001_11 - 5567279217/7818502586, c_0110_5 + 113698207/15637005172*c_1001_11^7 + 1124859561/15637005172*c_1001_11^6 + 4067982037/7818502586*c_1001_11^5 + 30078881531/15637005172*c_1001_11^4 + 22511786799/3909251293*c_1001_11^3 + 129350528239/15637005172*c_1001_11^2 + 126317051293/7818502586*c_1001_11 - 5567279217/7818502586, c_1001_1 - 6817525/15637005172*c_1001_11^7 - 10862831/15637005172*c_1001_11^6 - 101179377/7818502586*c_1001_11^5 + 281443599/15637005172*c_1001_11^4 - 535179893/3909251293*c_1001_11^3 + 3667615307/15637005172*c_1001_11^2 - 15436731171/7818502586*c_1001_11 - 240126747/7818502586, c_1001_11^8 + 10*c_1001_11^7 + 72*c_1001_11^6 + 267*c_1001_11^5 + 785*c_1001_11^4 + 1108*c_1001_11^3 + 2072*c_1001_11^2 - 220*c_1001_11 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.290 Total time: 0.490 seconds, Total memory usage: 32.09MB