Magma V2.19-8 Tue Aug 20 2013 16:16:32 on localhost [Seed = 4139215407] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0830 geometric_solution 4.75499484 oriented_manifold CS_known 0.0000000000000005 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1.734848218419 3.256582952282 0 0 3 2 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.086445803758 0.300146259754 3 3 1 4 1230 1023 0132 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 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419858288205 1.375556697126 2 2 4 1 1023 3012 0132 0132 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 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.419858288205 1.375556697126 5 5 2 3 0132 3201 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.185947701907 0.994622124533 4 6 4 6 0132 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.033408728577 1.364223118557 6 5 6 5 2031 0132 1302 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.432388023722 0.119511046337 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], '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' : 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_0_6' : 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_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1100_1'], 's_3_6' : d['1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_1100_1'], 'c_1100_2' : d['c_1100_1'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : negation(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_0011_5' : negation(d['c_0011_4']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_1'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0011_2']), 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : d['c_0011_2'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_2']), 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : d['c_0011_0']})} 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_4, c_0101_0, c_0101_1, c_0110_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 1174160722839739496255027758177/2376922632845357780881565489865*c_1\ 100_1^13 + 2983194519312338955281754561404/792307544281785926960521\ 829955*c_1100_1^12 - 1133127606914985771828121586759/26410251476059\ 5308986840609985*c_1100_1^11 - 4798039632672099247689650909408/1584\ 61508856357185392104365991*c_1100_1^10 + 160895074419702734138477878270217/2376922632845357780881565489865*c\ _1100_1^9 + 1728456920530233587280409618440661/23769226328453577808\ 81565489865*c_1100_1^8 + 965118629428966605351271194902479/47538452\ 6569071556176313097973*c_1100_1^7 + 1015671651582869890600621996745294/2376922632845357780881565489865*\ c_1100_1^6 - 5613866663854448507553269851985221/2376922632845357780\ 881565489865*c_1100_1^5 - 1092282899405101364683473644444770/475384\ 526569071556176313097973*c_1100_1^4 + 596043000796915505043903289704677/2376922632845357780881565489865*c\ _1100_1^3 + 2361958421486763064583501900195119/23769226328453577808\ 81565489865*c_1100_1^2 + 45326308510049784131014327739413/158461508\ 856357185392104365991*c_1100_1 + 52329622403626474683656469058049/2\ 376922632845357780881565489865, c_0011_0 - 1, c_0011_2 - 8633708827958051665933213/6441524750258422170410746585*c_110\ 0_1^13 - 92569222602853854631725178/6441524750258422170410746585*c_\ 1100_1^12 - 125568813860350286694399611/644152475025842217041074658\ 5*c_1100_1^11 + 157259104240173063641976396/12883049500516844340821\ 49317*c_1100_1^10 + 410827122592944057585078257/6441524750258422170\ 410746585*c_1100_1^9 - 16615482169973716985445330979/64415247502584\ 22170410746585*c_1100_1^8 - 14854973991564747543750775890/128830495\ 0051684434082149317*c_1100_1^7 - 112313071789702180272225554176/644\ 1524750258422170410746585*c_1100_1^6 + 29348874446325633492660654634/6441524750258422170410746585*c_1100_1\ ^5 + 31417904863489064730583386528/1288304950051684434082149317*c_1\ 100_1^4 + 79637580572631592714034256042/644152475025842217041074658\ 5*c_1100_1^3 - 49991495724950057171916091406/6441524750258422170410\ 746585*c_1100_1^2 - 8162155266649723320556534743/128830495005168443\ 4082149317*c_1100_1 + 3600955371991845620119520744/6441524750258422\ 170410746585, c_0011_4 - 152276113284753580846589698/6441524750258422170410746585*c_1\ 100_1^13 - 1134272403104766784170640138/644152475025842217041074658\ 5*c_1100_1^12 + 1546453825805633203448923819/6441524750258422170410\ 746585*c_1100_1^11 + 1853588471945355702929378096/12883049500516844\ 34082149317*c_1100_1^10 - 22737022985151496787798469848/64415247502\ 58422170410746585*c_1100_1^9 - 221725820621960807057097431954/64415\ 24750258422170410746585*c_1100_1^8 - 116692089146386493008102586018/1288304950051684434082149317*c_1100_\ 1^7 + 7871663506884837517456433409/6441524750258422170410746585*c_1\ 100_1^6 + 832698829126275043283411652649/64415247502584221704107465\ 85*c_1100_1^5 + 117334465366038768942276183582/12883049500516844340\ 82149317*c_1100_1^4 - 251922855041398967450331093683/64415247502584\ 22170410746585*c_1100_1^3 - 348978783355743573567154355621/64415247\ 50258422170410746585*c_1100_1^2 - 6094098349944729937052382785/1288\ 304950051684434082149317*c_1100_1 + 19461595891564333151216602574/6441524750258422170410746585, c_0101_0 + 3534412977990106/266734142386476095*c_1100_1^13 + 27612897749289886/266734142386476095*c_1100_1^12 - 26255126758156573/266734142386476095*c_1100_1^11 - 45453994044565002/53346828477295219*c_1100_1^10 + 452433375657888171/266734142386476095*c_1100_1^9 + 5332289457470199898/266734142386476095*c_1100_1^8 + 3079305079538134708/53346828477295219*c_1100_1^7 + 4882448124053007592/266734142386476095*c_1100_1^6 - 18488134162175711493/266734142386476095*c_1100_1^5 - 3708499306118538617/53346828477295219*c_1100_1^4 + 1936762230953215876/266734142386476095*c_1100_1^3 + 8900507176026018927/266734142386476095*c_1100_1^2 + 356070969313044575/53346828477295219*c_1100_1 - 448467382446622758/266734142386476095, c_0101_1 + 55786092064958829126235201/6441524750258422170410746585*c_11\ 00_1^13 + 424129742049475887723134711/6441524750258422170410746585*\ c_1100_1^12 - 510922765753317228258784373/6441524750258422170410746\ 585*c_1100_1^11 - 708756713531705859302214179/128830495005168443408\ 2149317*c_1100_1^10 + 7898916710863255320753499056/6441524750258422\ 170410746585*c_1100_1^9 + 82997636292366697564307100698/64415247502\ 58422170410746585*c_1100_1^8 + 44988500305801946387954023441/128830\ 4950051684434082149317*c_1100_1^7 + 18117618021272468434542223802/6441524750258422170410746585*c_1100_1\ ^6 - 336081312716363953021694925918/6441524750258422170410746585*c_\ 1100_1^5 - 51884794727736697606345932536/12883049500516844340821493\ 17*c_1100_1^4 + 97653453059369268630167156381/644152475025842217041\ 0746585*c_1100_1^3 + 162297351198023204389691291777/644152475025842\ 2170410746585*c_1100_1^2 + 3682845226108094333874753538/12883049500\ 51684434082149317*c_1100_1 - 13095411729396456261485819893/64415247\ 50258422170410746585, c_0110_6 + 270029930232149740529283872/6441524750258422170410746585*c_1\ 100_1^13 + 1985017010005383674599468577/644152475025842217041074658\ 5*c_1100_1^12 - 2916476297229023285308347346/6441524750258422170410\ 746585*c_1100_1^11 - 3201452638015659302249167617/12883049500516844\ 34082149317*c_1100_1^10 + 41658182386169980517869178497/64415247502\ 58422170410746585*c_1100_1^9 + 388026053909825510707169827166/64415\ 24750258422170410746585*c_1100_1^8 + 199973028749792985182729648602/1288304950051684434082149317*c_1100_\ 1^7 - 84049346651575388360255337961/6441524750258422170410746585*c_\ 1100_1^6 - 1397916571188699295545007409791/644152475025842217041074\ 6585*c_1100_1^5 - 181837336613710082197134728843/128830495005168443\ 4082149317*c_1100_1^4 + 462687805881612572532550437217/644152475025\ 8422170410746585*c_1100_1^3 + 521980145824862376573518964064/644152\ 4750258422170410746585*c_1100_1^2 + 5608919826727105244950728048/1288304950051684434082149317*c_1100_1 - 19256541028858570667297849556/6441524750258422170410746585, c_1100_1^14 + 8*c_1100_1^13 - 6*c_1100_1^12 - 66*c_1100_1^11 + 116*c_1100_1^10 + 1535*c_1100_1^9 + 4636*c_1100_1^8 + 2142*c_1100_1^7 - 5169*c_1100_1^6 - 6421*c_1100_1^5 - 389*c_1100_1^4 + 2849*c_1100_1^3 + 1154*c_1100_1^2 - 58*c_1100_1 - 41 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB