Magma V2.19-8 Tue Aug 20 2013 23:52:36 on localhost [Seed = 795428085] Type ? for help. Type -D to quit. Loading file "L13n3041__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3041 geometric_solution 11.03618138 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2103 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 -2 0 -1 3 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442115566656 0.943505080472 0 4 5 0 0132 0132 0132 2103 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 0 0 2 0 1 -3 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.442115566656 0.943505080472 3 0 7 6 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.046353024751 1.366051074640 6 8 2 0 0132 0132 2103 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 -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 1.047949792401 0.768130094692 8 1 9 10 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.030718326558 0.523903302411 10 10 9 1 3012 0132 1023 0132 1 1 1 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 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 1.377663540605 1.364502839472 3 7 2 8 0132 3201 0132 2310 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 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 0.487486467408 0.822248834576 8 11 6 2 2310 0132 2310 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 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 0.362228131809 0.479416426759 6 3 7 4 3201 0132 3201 3120 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 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 0.509464955380 0.890075300902 11 11 5 4 0321 3201 1023 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551927824394 0.628755913060 11 5 4 5 3012 0132 0132 1230 1 1 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 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 0.633583051636 0.362916598819 9 7 9 10 0321 0132 2310 1230 1 0 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 0 0 -2 0 1 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 0.211484730728 0.898276216888 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_5' : negation(d['c_0101_11']), 'c_1001_4' : negation(d['c_1001_11']), 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : negation(d['c_0101_7']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : d['c_1001_11'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : negation(d['c_0101_11']), '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_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : 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' : 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_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : d['c_0101_1'], 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : d['c_0101_1'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_11'], 'c_1010_6' : negation(d['c_0101_10']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0101_7']), 'c_1010_2' : negation(d['c_0101_7']), 'c_1010_1' : negation(d['c_1001_11']), 'c_1010_0' : d['c_1001_11'], 'c_1010_9' : negation(d['c_1001_11']), 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : 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'], 's_1_7' : d['1'], 's_1_6' : 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' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_3']), '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' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : negation(d['c_0101_11']), 'c_0101_4' : negation(d['c_0011_11']), 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0101_11']), 'c_0101_8' : negation(d['c_0101_2']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], '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_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_2, c_0101_7, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 7021109471712547999/728526798827424*c_1001_11^10 - 2486950979087094307147/32419442547820368*c_1001_11^9 - 16882585461128061573859/64838885095640736*c_1001_11^8 - 15831341318439850332439/32419442547820368*c_1001_11^7 - 1518596486633388720565/2819081960680032*c_1001_11^6 - 453064897344561397577/1409540980340016*c_1001_11^5 - 649659880847231238221/16209721273910184*c_1001_11^4 + 1721527445179137632317/21612961698546912*c_1001_11^3 + 3575047845278226132593/64838885095640736*c_1001_11^2 + 59206612070610436285/4052430318477546*c_1001_11 + 64632362643769727527/64838885095640736, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + 410146082105/61697730253*c_1001_11^10 + 2358321511262/61697730253*c_1001_11^9 + 4933018514891/61697730253*c_1001_11^8 + 3231825997194/61697730253*c_1001_11^7 - 178670948937/2682510011*c_1001_11^6 - 408058739537/2682510011*c_1001_11^5 - 6583400659409/61697730253*c_1001_11^4 - 659164754946/61697730253*c_1001_11^3 + 1491018861073/61697730253*c_1001_11^2 + 606218359967/61697730253*c_1001_11 + 81427385592/61697730253, c_0011_3 + 4647890223473/123395460506*c_1001_11^10 + 15642589415294/61697730253*c_1001_11^9 + 87917335430727/123395460506*c_1001_11^8 + 65985835713328/61697730253*c_1001_11^7 + 4684562244499/5365020022*c_1001_11^6 + 733714736849/2682510011*c_1001_11^5 - 8307479590957/61697730253*c_1001_11^4 - 17949645209069/123395460506*c_1001_11^3 - 5153818260451/123395460506*c_1001_11^2 - 141932160718/61697730253*c_1001_11 + 38199007295/123395460506, c_0101_0 + 335444325307/61697730253*c_1001_11^10 + 2036507263646/61697730253*c_1001_11^9 + 5202190107300/61697730253*c_1001_11^8 + 7452509851245/61697730253*c_1001_11^7 + 296308888599/2682510011*c_1001_11^6 + 186945137349/2682510011*c_1001_11^5 + 1818880569251/61697730253*c_1001_11^4 + 40875999058/61697730253*c_1001_11^3 - 730336828801/61697730253*c_1001_11^2 - 434410545905/61697730253*c_1001_11 - 64615867444/61697730253, c_0101_1 + 2722124879200/61697730253*c_1001_11^10 + 19670903059019/61697730253*c_1001_11^9 + 60369315966963/61697730253*c_1001_11^8 + 101886566271972/61697730253*c_1001_11^7 + 4336548209324/2682510011*c_1001_11^6 + 2154267609168/2682510011*c_1001_11^5 - 647123330854/61697730253*c_1001_11^4 - 15666735758844/61697730253*c_1001_11^3 - 8652751116206/61697730253*c_1001_11^2 - 1993101468212/61697730253*c_1001_11 - 129158432490/61697730253, c_0101_10 - 77486009391/61697730253*c_1001_11^10 - 629668283107/61697730253*c_1001_11^9 - 2700240625909/61697730253*c_1001_11^8 - 7384046401831/61697730253*c_1001_11^7 - 544733851215/2682510011*c_1001_11^6 - 532937199678/2682510011*c_1001_11^5 - 5469259653960/61697730253*c_1001_11^4 + 947300411779/61697730253*c_1001_11^3 + 2050137366333/61697730253*c_1001_11^2 + 534942646156/61697730253*c_1001_11 + 6928167329/61697730253, c_0101_11 + 2737240560613/61697730253*c_1001_11^10 + 16318403303203/61697730253*c_1001_11^9 + 38340122464043/61697730253*c_1001_11^8 + 42453852674697/61697730253*c_1001_11^7 + 641224705767/2682510011*c_1001_11^6 - 691510528057/2682510011*c_1001_11^5 - 18690200564538/61697730253*c_1001_11^4 - 4410236670680/61697730253*c_1001_11^3 + 2320921566274/61697730253*c_1001_11^2 + 1556929745590/61697730253*c_1001_11 + 163018788017/61697730253, c_0101_2 + 2577778031167/123395460506*c_1001_11^10 + 6938515869616/61697730253*c_1001_11^9 + 27437019485945/123395460506*c_1001_11^8 + 9795357024212/61697730253*c_1001_11^7 - 462230814911/5365020022*c_1001_11^6 - 640198785054/2682510011*c_1001_11^5 - 9259476827558/61697730253*c_1001_11^4 - 431702950699/123395460506*c_1001_11^3 + 3888675533411/123395460506*c_1001_11^2 + 926359697612/61697730253*c_1001_11 + 153974243773/123395460506, c_0101_7 + 183465194609/5365020022*c_1001_11^10 + 664000575836/2682510011*c_1001_11^9 + 4126635950265/5365020022*c_1001_11^8 + 3570466157162/2682510011*c_1001_11^7 + 7287848894001/5365020022*c_1001_11^6 + 1960620241652/2682510011*c_1001_11^5 + 94136536206/2682510011*c_1001_11^4 - 1152272550017/5365020022*c_1001_11^3 - 705691545477/5365020022*c_1001_11^2 - 80006612580/2682510011*c_1001_11 - 8792718957/5365020022, c_1001_1 + 100520817265/2682510011*c_1001_11^10 + 752720936859/2682510011*c_1001_11^9 + 2410273802264/2682510011*c_1001_11^8 + 4289336533686/2682510011*c_1001_11^7 + 4515219158261/2682510011*c_1001_11^6 + 2562326348705/2682510011*c_1001_11^5 + 258099014285/2682510011*c_1001_11^4 - 652503087126/2682510011*c_1001_11^3 - 441033477273/2682510011*c_1001_11^2 - 115696415584/2682510011*c_1001_11 - 9155905134/2682510011, c_1001_11^11 + 719/89*c_1001_11^10 + 2483/89*c_1001_11^9 + 4759/89*c_1001_11^8 + 5415/89*c_1001_11^7 + 3427/89*c_1001_11^6 + 626/89*c_1001_11^5 - 713/89*c_1001_11^4 - 576/89*c_1001_11^3 - 179/89*c_1001_11^2 - 21/89*c_1001_11 - 1/89 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB