Magma V2.19-8 Tue Aug 20 2013 16:19:27 on localhost [Seed = 2345277110] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3539 geometric_solution 6.91747979 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 3201 0132 0132 0 0 0 0 0 -1 -1 2 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 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 0.313173086272 0.620529787531 0 4 0 2 0132 0132 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351789156056 1.284382837799 4 3 1 0 0213 3012 2031 0132 0 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.804883438048 1.133066444574 2 5 0 6 1230 0132 0132 0132 0 0 0 0 0 1 -2 1 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 0 -1 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 0.584284556590 0.988228927981 2 1 6 5 0213 0132 1230 1230 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 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 0.361675438660 0.859766305751 4 3 6 6 3012 0132 1302 2031 0 0 0 0 0 -1 1 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 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 0.376126619169 0.872303297667 5 5 3 4 2031 1302 0132 3012 0 0 0 0 0 1 -1 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 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 0.562674066727 0.979875149784 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0110_5'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 'c_0101_6' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0011_6']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], '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' : d['c_0011_2'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : d['c_1001_4'], 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : negation(d['c_0011_6']), 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_2'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0011_2']), 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_0011_6']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_3, c_0011_6, c_0101_1, c_0110_5, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 4873347691508832727/82069776041584921040*c_1001_4^17 - 18087023049823002317/20517444010396230260*c_1001_4^16 - 445119900675321177013/82069776041584921040*c_1001_4^15 - 697182035103215599637/41034888020792460520*c_1001_4^14 - 398160117290668514707/16413955208316984208*c_1001_4^13 + 273589608491619185059/82069776041584921040*c_1001_4^12 + 254186998169912434056/5129361002599057565*c_1001_4^11 + 335524961178806701847/41034888020792460520*c_1001_4^10 - 9337837878169493049011/82069776041584921040*c_1001_4^9 - 611185215974300706273/8206977604158492104*c_1001_4^8 + 2914042239084052031/24542397141622285*c_1001_4^7 + 5934829801439770161053/82069776041584921040*c_1001_4^6 - 196404234719548479435/1492177746210634928*c_1001_4^5 - 4655165079229924677499/82069776041584921040*c_1001_4^4 + 6504176864449369104919/82069776041584921040*c_1001_4^3 + 327813572375122507371/41034888020792460520*c_1001_4^2 - 570937833577377142507/20517444010396230260*c_1001_4 + 28781693928307236997/10258722005198115130, c_0011_0 - 1, c_0011_2 - 31652359565185/1354063290572264*c_1001_4^17 - 198629002778121/677031645286132*c_1001_4^16 - 1917555752875431/1354063290572264*c_1001_4^15 - 478332678442173/169257911321533*c_1001_4^14 + 298573456704087/1354063290572264*c_1001_4^13 + 12253729808888887/1354063290572264*c_1001_4^12 + 3350260235210841/677031645286132*c_1001_4^11 - 14413034688596649/677031645286132*c_1001_4^10 - 22847105108261977/1354063290572264*c_1001_4^9 + 11778716729243739/338515822643066*c_1001_4^8 + 3690096762181802/169257911321533*c_1001_4^7 - 63091597978412941/1354063290572264*c_1001_4^6 - 13336918564525617/1354063290572264*c_1001_4^5 + 54922360546056685/1354063290572264*c_1001_4^4 - 13867445836192857/1354063290572264*c_1001_4^3 - 4557046027072821/338515822643066*c_1001_4^2 + 3534569052437089/338515822643066*c_1001_4 - 520780973827891/169257911321533, c_0011_3 + 7223436902141/677031645286132*c_1001_4^17 + 97105729480379/677031645286132*c_1001_4^16 + 524004205883583/677031645286132*c_1001_4^15 + 1341970208693159/677031645286132*c_1001_4^14 + 1167414115546687/677031645286132*c_1001_4^13 - 775626058608127/338515822643066*c_1001_4^12 - 2611765122713571/677031645286132*c_1001_4^11 + 1813374621064707/338515822643066*c_1001_4^10 + 6399703956911307/677031645286132*c_1001_4^9 - 4436159358645531/677031645286132*c_1001_4^8 - 2415895919725333/338515822643066*c_1001_4^7 + 9769451935270101/677031645286132*c_1001_4^6 + 478973167273695/338515822643066*c_1001_4^5 - 4918631139473325/338515822643066*c_1001_4^4 + 3155034226215417/338515822643066*c_1001_4^3 + 3803341237070791/677031645286132*c_1001_4^2 - 2690448978219277/338515822643066*c_1001_4 + 410485124018082/169257911321533, c_0011_6 + 22355690259549/677031645286132*c_1001_4^17 + 297662361841695/677031645286132*c_1001_4^16 + 1566772039262475/677031645286132*c_1001_4^15 + 3723640357232371/677031645286132*c_1001_4^14 + 1839016881532915/677031645286132*c_1001_4^13 - 4370442480055143/338515822643066*c_1001_4^12 - 11385301700601271/677031645286132*c_1001_4^11 + 7751813553951881/338515822643066*c_1001_4^10 + 29750867952184599/677031645286132*c_1001_4^9 - 18641933754881295/677031645286132*c_1001_4^8 - 20370908201340397/338515822643066*c_1001_4^7 + 24038925986485641/677031645286132*c_1001_4^6 + 16844072952918383/338515822643066*c_1001_4^5 - 12332321612285545/338515822643066*c_1001_4^4 - 6276986420411759/338515822643066*c_1001_4^3 + 12023561357908347/677031645286132*c_1001_4^2 - 198764233717797/338515822643066*c_1001_4 - 261654854626982/169257911321533, c_0101_1 - 1, c_0110_5 + 10642563222101/677031645286132*c_1001_4^17 + 125060481506903/677031645286132*c_1001_4^16 + 527717264095621/677031645286132*c_1001_4^15 + 659873107743363/677031645286132*c_1001_4^14 - 1566235970684495/677031645286132*c_1001_4^13 - 2282612857603887/338515822643066*c_1001_4^12 + 2077905472250035/677031645286132*c_1001_4^11 + 3624389237816515/169257911321533*c_1001_4^10 - 628439738520125/677031645286132*c_1001_4^9 - 28507507077625511/677031645286132*c_1001_4^8 + 837153590920885/169257911321533*c_1001_4^7 + 40082570913865821/677031645286132*c_1001_4^6 - 6878558593288587/338515822643066*c_1001_4^5 - 8238021934206080/169257911321533*c_1001_4^4 + 5907898439761639/169257911321533*c_1001_4^3 + 9665849492166477/677031645286132*c_1001_4^2 - 3330847220371494/169257911321533*c_1001_4 + 877173483353639/169257911321533, c_1001_4^18 + 14*c_1001_4^17 + 79*c_1001_4^16 + 212*c_1001_4^15 + 185*c_1001_4^14 - 347*c_1001_4^13 - 718*c_1001_4^12 + 538*c_1001_4^11 + 1873*c_1001_4^10 - 360*c_1001_4^9 - 2712*c_1001_4^8 + 621*c_1001_4^7 + 2885*c_1001_4^6 - 1033*c_1001_4^5 - 1787*c_1001_4^4 + 1064*c_1001_4^3 + 404*c_1001_4^2 - 448*c_1001_4 + 80 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB