Magma V2.19-8 Tue Aug 20 2013 23:56:13 on localhost [Seed = 1511797362] Type ? for help. Type -D to quit. Loading file "L14n1566__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n1566 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1023 0132 1 1 1 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 -1 0 1 0 0 1 -1 8 0 0 -8 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.186739889438 0.623881657755 0 4 5 2 0132 0132 0132 1023 1 1 1 1 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 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.262891334218 1.075676926876 3 0 0 1 1023 0132 1023 1023 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 -1 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 0.186739889438 0.623881657755 5 2 0 4 0132 1023 0132 0132 1 1 1 1 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 -1 1 0 0 1 -1 -1 1 0 0 -7 -1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.262891334218 1.075676926876 6 1 3 7 0132 0132 0132 0132 1 1 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 0 0 0 0 -1 1 -1 0 1 0 0 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637741742150 0.542346751722 3 6 7 1 0132 0132 0132 0132 1 1 1 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 0 0 0 0 0 0 7 -7 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.637741742150 0.542346751722 4 5 9 8 0132 0132 0132 0132 1 1 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 1 0 0 -1 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757292546804 0.959731880493 10 11 4 5 0132 0132 0132 0132 1 1 1 1 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 1 -1 0 0 0 0 0 -1 0 0 1 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.757292546804 0.959731880493 10 11 6 10 2103 0213 0132 3201 1 1 0 1 0 0 0 0 0 0 0 0 -5 2 0 3 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 -2 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394514260377 0.813839646000 10 11 11 6 3120 0321 3201 0132 1 1 1 0 0 0 0 0 0 0 0 0 -1 0 0 1 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 -7 0 0 7 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394514260377 0.813839646000 7 8 8 9 0132 2310 2103 3120 0 1 1 1 0 -3 5 -2 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 -1 2 -1 0 0 0 0 -8 1 0 7 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394514260377 0.813839646000 9 7 8 9 2310 0132 0213 0321 1 0 1 1 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 0 0 0 0 0 0 0 0 -1 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 0 0 0 0 0.394514260377 0.813839646000 ==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' : d['c_0011_8'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_0110_2'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : d['c_1001_1'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_8']), 'c_1001_8' : d['c_1001_11'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : negation(d['1']), 'c_0101_11' : d['c_0011_8'], 'c_0101_10' : d['c_0101_10'], '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' : negation(d['1']), 's_2_7' : negation(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' : negation(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' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_8']), 'c_1100_10' : negation(d['c_0011_9']), 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0110_2'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : negation(d['c_0011_8']), '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], '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' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0011_6' : negation(d['c_0011_0']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_9']), 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_9'], 'c_0101_8' : d['c_0101_10'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : d['c_0011_9'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_8, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0110_2, c_1001_1, c_1001_11, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 75824322927711989081/695836451697549589375*c_1001_11^11 + 147531447389978508062/695836451697549589375*c_1001_11^10 + 870602018973140491697/1391672903395099178750*c_1001_11^9 + 1265789847930614626902/695836451697549589375*c_1001_11^8 + 12992219102974062369/11133383227160793430*c_1001_11^7 - 4466070605277555592911/1391672903395099178750*c_1001_11^6 - 13415641607252500990329/2783345806790198357500*c_1001_11^5 + 1807226549965167798058/695836451697549589375*c_1001_11^4 + 211626178838320766903/11133383227160793430*c_1001_11^3 + 43848359978112938670697/1391672903395099178750*c_1001_11^2 + 59808246059098108114801/2783345806790198357500*c_1001_11 + 2517222953807188047717/695836451697549589375, c_0011_0 - 1, c_0011_10 - 262107774932376/6587800726130647*c_1001_11^11 - 221642503002736/6587800726130647*c_1001_11^10 - 1276816989600000/6587800726130647*c_1001_11^9 - 2897048246710744/6587800726130647*c_1001_11^8 + 402416075988284/6587800726130647*c_1001_11^7 + 7637151151917600/6587800726130647*c_1001_11^6 + 4341107490044824/6587800726130647*c_1001_11^5 - 9836438737382212/6587800726130647*c_1001_11^4 - 35555072711470056/6587800726130647*c_1001_11^3 - 42525033756198462/6587800726130647*c_1001_11^2 - 6842661172266104/6587800726130647*c_1001_11 + 7117973983029672/6587800726130647, c_0011_8 - 1, c_0011_9 - 148449096/10617795703*c_1001_11^11 - 565878424/10617795703*c_1001_11^10 - 931997124/10617795703*c_1001_11^9 - 3865494806/10617795703*c_1001_11^8 - 3983522408/10617795703*c_1001_11^7 + 5786972492/10617795703*c_1001_11^6 + 12783159332/10617795703*c_1001_11^5 - 1999247549/10617795703*c_1001_11^4 - 33822953552/10617795703*c_1001_11^3 - 73231093218/10617795703*c_1001_11^2 - 57989606818/10617795703*c_1001_11 - 10185945746/10617795703, c_0101_0 + 224983195219928/6587800726130647*c_1001_11^11 + 387049850382156/6587800726130647*c_1001_11^10 + 1199175639579470/6587800726130647*c_1001_11^9 + 3476025837007696/6587800726130647*c_1001_11^8 + 1528050154009618/6587800726130647*c_1001_11^7 - 7006857666181432/6587800726130647*c_1001_11^6 - 8849605645163101/6587800726130647*c_1001_11^5 + 7272183289498424/6587800726130647*c_1001_11^4 + 38216067423746891/6587800726130647*c_1001_11^3 + 56641309454717952/6587800726130647*c_1001_11^2 + 28288269163047111/6587800726130647*c_1001_11 + 1474197538482784/6587800726130647, c_0101_1 + 42413860551922/6587800726130647*c_1001_11^11 + 346935496036220/6587800726130647*c_1001_11^10 + 476125666314268/6587800726130647*c_1001_11^9 + 1997852618982674/6587800726130647*c_1001_11^8 + 3427221503609769/6587800726130647*c_1001_11^7 - 1590004171442100/6587800726130647*c_1001_11^6 - 9588188737306012/6587800726130647*c_1001_11^5 - 3577658000110228/6587800726130647*c_1001_11^4 + 17258864333968562/6587800726130647*c_1001_11^3 + 48533714040358188/6587800726130647*c_1001_11^2 + 45437937793698343/6587800726130647*c_1001_11 + 9260251223725658/6587800726130647, c_0101_10 - 95219258968208/6587800726130647*c_1001_11^11 - 196016378398684/6587800726130647*c_1001_11^10 - 444261186501874/6587800726130647*c_1001_11^9 - 1576789416740852/6587800726130647*c_1001_11^8 - 609162611105712/6587800726130647*c_1001_11^7 + 3942687013086316/6587800726130647*c_1001_11^6 + 3923646955620453/6587800726130647*c_1001_11^5 - 4969412332715564/6587800726130647*c_1001_11^4 - 18303072663670998/6587800726130647*c_1001_11^3 - 27176981064336476/6587800726130647*c_1001_11^2 - 5772791630460078/6587800726130647*c_1001_11 + 5966660318478372/6587800726130647, c_0101_6 + c_1001_11, c_0110_2 + 42413860551922/6587800726130647*c_1001_11^11 + 346935496036220/6587800726130647*c_1001_11^10 + 476125666314268/6587800726130647*c_1001_11^9 + 1997852618982674/6587800726130647*c_1001_11^8 + 3427221503609769/6587800726130647*c_1001_11^7 - 1590004171442100/6587800726130647*c_1001_11^6 - 9588188737306012/6587800726130647*c_1001_11^5 - 3577658000110228/6587800726130647*c_1001_11^4 + 17258864333968562/6587800726130647*c_1001_11^3 + 48533714040358188/6587800726130647*c_1001_11^2 + 45437937793698343/6587800726130647*c_1001_11 + 9260251223725658/6587800726130647, c_1001_1 - 95219258968208/6587800726130647*c_1001_11^11 - 196016378398684/6587800726130647*c_1001_11^10 - 444261186501874/6587800726130647*c_1001_11^9 - 1576789416740852/6587800726130647*c_1001_11^8 - 609162611105712/6587800726130647*c_1001_11^7 + 3942687013086316/6587800726130647*c_1001_11^6 + 3923646955620453/6587800726130647*c_1001_11^5 - 4969412332715564/6587800726130647*c_1001_11^4 - 18303072663670998/6587800726130647*c_1001_11^3 - 27176981064336476/6587800726130647*c_1001_11^2 - 5772791630460078/6587800726130647*c_1001_11 + 5966660318478372/6587800726130647, c_1001_11^12 + 2*c_1001_11^11 + 6*c_1001_11^10 + 17*c_1001_11^9 + 25/2*c_1001_11^8 - 28*c_1001_11^7 - 46*c_1001_11^6 + 18*c_1001_11^5 + 175*c_1001_11^4 + 306*c_1001_11^3 + 224*c_1001_11^2 + 57*c_1001_11 + 25/2, c_1100_0 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.260 seconds, Total memory usage: 32.09MB