Magma V2.19-8 Tue Aug 20 2013 17:57:17 on localhost [Seed = 71675909] Type ? for help. Type -D to quit. Loading file "9^2_18__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_18 geometric_solution 11.38178609 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 1 0 -1 -1 0 0 1 0 0 0 0 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440320305022 1.471071674436 0 4 2 0 0132 0132 3012 2031 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 0 0 0 1 0 0 -1 -4 -1 0 5 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.225923878401 0.593822182718 3 1 5 0 0132 1230 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.372939805540 0.847190016681 2 4 0 6 0132 1302 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 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 0.115105860120 0.710792055078 5 1 7 3 1023 0132 0132 2031 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 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.037550399794 1.022776234324 7 4 6 2 1302 1023 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 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.909948806718 0.773836408910 8 9 3 5 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 1 0 1 0 -1 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 0.506693467760 0.642142692014 10 5 11 4 0132 2031 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 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 0.242707453196 0.959731880493 6 11 10 11 0132 3012 0213 3201 0 1 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 0 0 0 0 -1 1 -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 0.482305144884 0.994942611202 10 6 10 11 3012 0132 1023 1302 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 0 0 0 1 -1 0 0 0 1 -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 0.482305144884 0.994942611202 7 8 9 9 0132 0213 1023 1230 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 0 0 0 0 0 0 0 1 -1 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 0.411548718811 0.790943454207 8 8 9 7 1230 2310 2031 0132 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 1 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411548718811 0.790943454207 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : negation(d['c_0011_11']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : negation(d['c_0011_2']), 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_4'], 'c_1001_2' : d['c_0110_4'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0101_2']), 'c_1010_10' : negation(d['c_0011_11']), 's_0_10' : negation(d['1']), 's_0_11' : 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_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : 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' : negation(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_1100_9' : d['c_0101_11'], 'c_1100_8' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : negation(d['c_1001_6']), 'c_1100_7' : negation(d['c_1001_6']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : negation(d['c_0110_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_6']), 'c_1100_10' : negation(d['c_0101_11']), 's_3_10' : negation(d['1']), 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_4'], 'c_1010_9' : d['c_1001_6'], 'c_1010_8' : negation(d['c_0101_11']), 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_6']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : negation(d['c_0011_6']), 'c_0110_0' : d['c_0101_0'], 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : negation(d['c_0011_6']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_10'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0011_10' : d['c_0011_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_11, c_0011_2, c_0011_6, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_4, c_1001_6, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 71169232778500836306/695836451697549589375*c_1001_6^11 + 281867379965545735649/1391672903395099178750*c_1001_6^10 - 423216587659247645761/695836451697549589375*c_1001_6^9 + 2390106508482427338829/1391672903395099178750*c_1001_6^8 - 13593896644004297269/11133383227160793430*c_1001_6^7 - 8163253969656257344397/2783345806790198357500*c_1001_6^6 + 6642330697039304718927/1391672903395099178750*c_1001_6^5 + 5403767498319164968057/2783345806790198357500*c_1001_6^4 - 204013855979793414123/11133383227160793430*c_1001_6^3 + 86396333792428082285419/2783345806790198357500*c_1001_6^2 - 29756485935015689882013/1391672903395099178750*c_1001_6 + 10666753573811610227543/2783345806790198357500, c_0011_0 - 1, c_0011_10 + c_1001_6, c_0011_11 + 1, c_0011_2 + 417604860218616/6587800726130647*c_1001_6^11 - 595187866281804/6587800726130647*c_1001_6^10 + 2316318806486680/6587800726130647*c_1001_6^9 - 5829919859528428/6587800726130647*c_1001_6^8 + 2690121138849516/6587800726130647*c_1001_6^7 + 11794656265075088/6587800726130647*c_1001_6^6 - 12758359541897280/6587800726130647*c_1001_6^5 - 11988218809516802/6587800726130647*c_1001_6^4 + 65386743023495412/6587800726130647*c_1001_6^3 - 94806908669660307/6587800726130647*c_1001_6^2 + 57676369386649920/6587800726130647*c_1001_6 - 11637462203911058/6587800726130647, c_0011_6 + 262107774932376/6587800726130647*c_1001_6^11 - 221642503002736/6587800726130647*c_1001_6^10 + 1276816989600000/6587800726130647*c_1001_6^9 - 2897048246710744/6587800726130647*c_1001_6^8 - 402416075988284/6587800726130647*c_1001_6^7 + 7637151151917600/6587800726130647*c_1001_6^6 - 4341107490044824/6587800726130647*c_1001_6^5 - 9836438737382212/6587800726130647*c_1001_6^4 + 35555072711470056/6587800726130647*c_1001_6^3 - 42525033756198462/6587800726130647*c_1001_6^2 + 6842661172266104/6587800726130647*c_1001_6 + 7117973983029672/6587800726130647, c_0101_0 + 224983195219928/6587800726130647*c_1001_6^11 - 387049850382156/6587800726130647*c_1001_6^10 + 1199175639579470/6587800726130647*c_1001_6^9 - 3476025837007696/6587800726130647*c_1001_6^8 + 1528050154009618/6587800726130647*c_1001_6^7 + 7006857666181432/6587800726130647*c_1001_6^6 - 8849605645163101/6587800726130647*c_1001_6^5 - 7272183289498424/6587800726130647*c_1001_6^4 + 38216067423746891/6587800726130647*c_1001_6^3 - 56641309454717952/6587800726130647*c_1001_6^2 + 28288269163047111/6587800726130647*c_1001_6 - 1474197538482784/6587800726130647, c_0101_10 + 95219258968208/6587800726130647*c_1001_6^11 - 196016378398684/6587800726130647*c_1001_6^10 + 444261186501874/6587800726130647*c_1001_6^9 - 1576789416740852/6587800726130647*c_1001_6^8 + 609162611105712/6587800726130647*c_1001_6^7 + 3942687013086316/6587800726130647*c_1001_6^6 - 3923646955620453/6587800726130647*c_1001_6^5 - 4969412332715564/6587800726130647*c_1001_6^4 + 18303072663670998/6587800726130647*c_1001_6^3 - 27176981064336476/6587800726130647*c_1001_6^2 + 5772791630460078/6587800726130647*c_1001_6 + 5966660318478372/6587800726130647, c_0101_11 + 148449096/10617795703*c_1001_6^11 - 565878424/10617795703*c_1001_6^10 + 931997124/10617795703*c_1001_6^9 - 3865494806/10617795703*c_1001_6^8 + 3983522408/10617795703*c_1001_6^7 + 5786972492/10617795703*c_1001_6^6 - 12783159332/10617795703*c_1001_6^5 - 1999247549/10617795703*c_1001_6^4 + 33822953552/10617795703*c_1001_6^3 - 73231093218/10617795703*c_1001_6^2 + 57989606818/10617795703*c_1001_6 - 10185945746/10617795703, c_0101_2 + 95219258968208/6587800726130647*c_1001_6^11 - 196016378398684/6587800726130647*c_1001_6^10 + 444261186501874/6587800726130647*c_1001_6^9 - 1576789416740852/6587800726130647*c_1001_6^8 + 609162611105712/6587800726130647*c_1001_6^7 + 3942687013086316/6587800726130647*c_1001_6^6 - 3923646955620453/6587800726130647*c_1001_6^5 - 4969412332715564/6587800726130647*c_1001_6^4 + 18303072663670998/6587800726130647*c_1001_6^3 - 27176981064336476/6587800726130647*c_1001_6^2 + 5772791630460078/6587800726130647*c_1001_6 + 5966660318478372/6587800726130647, c_0110_4 - 42413860551922/6587800726130647*c_1001_6^11 + 346935496036220/6587800726130647*c_1001_6^10 - 476125666314268/6587800726130647*c_1001_6^9 + 1997852618982674/6587800726130647*c_1001_6^8 - 3427221503609769/6587800726130647*c_1001_6^7 - 1590004171442100/6587800726130647*c_1001_6^6 + 9588188737306012/6587800726130647*c_1001_6^5 - 3577658000110228/6587800726130647*c_1001_6^4 - 17258864333968562/6587800726130647*c_1001_6^3 + 48533714040358188/6587800726130647*c_1001_6^2 - 45437937793698343/6587800726130647*c_1001_6 + 9260251223725658/6587800726130647, c_1001_6^12 - 2*c_1001_6^11 + 6*c_1001_6^10 - 17*c_1001_6^9 + 25/2*c_1001_6^8 + 28*c_1001_6^7 - 46*c_1001_6^6 - 18*c_1001_6^5 + 175*c_1001_6^4 - 306*c_1001_6^3 + 224*c_1001_6^2 - 57*c_1001_6 + 25/2, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB