Magma V2.19-8 Wed Aug 21 2013 01:02:57 on localhost [Seed = 88284438] Type ? for help. Type -D to quit. Loading file "L14n16607__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n16607 geometric_solution 10.72522683 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 1023 0132 0 0 1 1 0 -2 1 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 1 0 -1 0 0 0 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.357496503004 0.679630934254 0 4 0 5 0132 0132 1023 0132 0 0 1 1 0 0 -1 1 1 0 -1 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 -1 -6 0 7 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303781273491 0.437681592562 6 0 3 7 0132 0132 2103 0132 0 0 1 1 0 2 -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 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 0.580108788269 0.966960866357 2 8 0 5 2103 0132 0132 1023 0 0 0 1 0 1 -1 0 0 0 0 0 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 -1 1 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 0.746753594945 1.604002977034 9 1 10 11 0132 0132 0132 0132 0 1 1 1 0 0 0 0 1 0 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 0 0 7 0 0 -7 0 0 0 0 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.162197524616 0.821041529255 11 8 1 3 1023 3201 0132 1023 0 0 0 1 0 1 -1 0 0 0 0 0 0 -1 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 1 0 -1 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.731708307491 1.171757265271 2 9 10 7 0132 0132 1023 2031 1 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 0 0 0 0 0 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.106905828911 0.325286159020 10 6 2 11 1023 1302 0132 0213 0 0 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 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.245311909882 1.177091303778 12 3 5 12 0132 0132 2310 2031 0 1 1 0 0 -1 1 0 1 0 -1 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 1 -1 0 7 0 -7 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 0.134408115144 1.045617504983 4 6 10 12 0132 0132 2103 1302 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 6 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 0.925495940370 0.787028793559 9 7 6 4 2103 1023 1023 0132 0 1 1 1 0 0 0 0 -1 0 1 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 -6 0 6 0 0 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.143269110581 1.024705152041 12 5 4 7 3120 1023 0132 0213 0 1 0 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 0 0 0 0 0 0 0 0 0 0 0 0 -7 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.194048523538 0.621751789846 8 8 9 11 0132 1302 2031 3120 1 1 0 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 -7 0 0 7 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.879062127488 0.940826797388 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_0'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_1'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_0011_12'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : negation(d['c_0110_3']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0110_3']), 'c_1010_10' : negation(d['c_0101_8']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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_12'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1010_7'], 'c_1100_7' : negation(d['c_0110_3']), 'c_1100_6' : negation(d['c_1010_7']), 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0110_3']), 's_0_10' : d['1'], 'c_1100_11' : d['c_1010_7'], 'c_1100_10' : d['c_1010_7'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1010_7'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0110_3'], 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0110_3']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0011_12'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0011_12'], 'c_1100_8' : d['c_0011_11'], 's_3_1' : negation(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' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_10']), '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_0']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0101_12']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : d['c_0101_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0101_12']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_12']), 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : negation(d['c_0110_3']), 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_8']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_6, c_0101_8, c_0110_3, c_1010_7, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 440954453175434266253826/249826546619177906737*c_1100_0^10 + 9184047870882546129306500/1748785826334245347159*c_1100_0^9 + 52327894276664135460726334/1748785826334245347159*c_1100_0^8 + 31278763818001000016083399/1748785826334245347159*c_1100_0^7 + 210324281567434467132941603/1748785826334245347159*c_1100_0^6 + 454320351364867146196008607/1748785826334245347159*c_1100_0^5 + 69572769218798421246606959/249826546619177906737*c_1100_0^4 + 503186436292715865067233725/1748785826334245347159*c_1100_0^3 + 582064602682077543128155814/1748785826334245347159*c_1100_0^2 + 382637816900669093904663258/1748785826334245347159*c_1100_0 + 116212178299393736507884266/1748785826334245347159, c_0011_0 - 1, c_0011_10 + 27065137316414/177181525280111*c_1100_0^10 + 79429006399926/177181525280111*c_1100_0^9 + 443831385316354/177181525280111*c_1100_0^8 + 21097196780915/16107411389101*c_1100_0^7 + 1659284408069996/177181525280111*c_1100_0^6 + 3960342249135902/177181525280111*c_1100_0^5 + 3289636013525944/177181525280111*c_1100_0^4 + 296741862889412/16107411389101*c_1100_0^3 + 4198620032225236/177181525280111*c_1100_0^2 + 1933997045957880/177181525280111*c_1100_0 - 46811135381884/177181525280111, c_0011_11 + 366102567796/16107411389101*c_1100_0^10 + 1050330601616/16107411389101*c_1100_0^9 + 6228475323958/16107411389101*c_1100_0^8 + 3426065825184/16107411389101*c_1100_0^7 + 26751095834198/16107411389101*c_1100_0^6 + 52329665576693/16107411389101*c_1100_0^5 + 61452644493326/16107411389101*c_1100_0^4 + 75758720175246/16107411389101*c_1100_0^3 + 71871121879450/16107411389101*c_1100_0^2 + 63649372087081/16107411389101*c_1100_0 + 34497412013140/16107411389101, c_0011_12 + 123214476998/16107411389101*c_1100_0^10 + 1136678111030/16107411389101*c_1100_0^9 + 4257062246964/16107411389101*c_1100_0^8 + 13737402027477/16107411389101*c_1100_0^7 + 13912062470322/16107411389101*c_1100_0^6 + 66765236438529/16107411389101*c_1100_0^5 + 128151466493833/16107411389101*c_1100_0^4 + 108392179856451/16107411389101*c_1100_0^3 + 126316644768348/16107411389101*c_1100_0^2 + 136308126170028/16107411389101*c_1100_0 + 60279729812802/16107411389101, c_0101_0 - 1, c_0101_1 - 1256033476648/16107411389101*c_1100_0^10 - 4998617242580/16107411389101*c_1100_0^9 - 24057302987316/16107411389101*c_1100_0^8 - 31564825604690/16107411389101*c_1100_0^7 - 82684668417432/16107411389101*c_1100_0^6 - 267229729896038/16107411389101*c_1100_0^5 - 319295128584575/16107411389101*c_1100_0^4 - 285410815708200/16107411389101*c_1100_0^3 - 345137477656366/16107411389101*c_1100_0^2 - 279751158794190/16107411389101*c_1100_0 - 85313443111277/16107411389101, c_0101_10 - 441871274386/177181525280111*c_1100_0^10 + 13229760914424/177181525280111*c_1100_0^9 + 36378504557984/177181525280111*c_1100_0^8 + 21294489842141/16107411389101*c_1100_0^7 + 106861492953755/177181525280111*c_1100_0^6 + 790371273157684/177181525280111*c_1100_0^5 + 2146502903667874/177181525280111*c_1100_0^4 + 154685643471580/16107411389101*c_1100_0^3 + 1548566864461898/177181525280111*c_1100_0^2 + 2304988569682607/177181525280111*c_1100_0 + 1269094866985898/177181525280111, c_0101_12 + 21824897486258/177181525280111*c_1100_0^10 + 85944230698054/177181525280111*c_1100_0^9 + 423994490503830/177181525280111*c_1100_0^8 + 50305181468681/16107411389101*c_1100_0^7 + 1562143030369006/177181525280111*c_1100_0^6 + 4582970067344444/177181525280111*c_1100_0^5 + 5998563273686774/177181525280111*c_1100_0^4 + 515683009350778/16107411389101*c_1100_0^3 + 6566437077943758/177181525280111*c_1100_0^2 + 5529009410691958/177181525280111*c_1100_0 + 1913624723339022/177181525280111, c_0101_6 + 2621049351430/16107411389101*c_1100_0^10 + 8861032819266/16107411389101*c_1100_0^9 + 46565646510120/16107411389101*c_1100_0^8 + 42302624660773/16107411389101*c_1100_0^7 + 173890231684176/16107411389101*c_1100_0^6 + 459996258962525/16107411389101*c_1100_0^5 + 501679687944801/16107411389101*c_1100_0^4 + 493003298523631/16107411389101*c_1100_0^3 + 604150134849578/16107411389101*c_1100_0^2 + 425109795382918/16107411389101*c_1100_0 + 110835391996550/16107411389101, c_0101_8 - 498971756248/16107411389101*c_1100_0^10 - 1225618999744/16107411389101*c_1100_0^9 - 7546435367878/16107411389101*c_1100_0^8 - 643234992026/16107411389101*c_1100_0^7 - 29964811016930/16107411389101*c_1100_0^6 - 60820242988893/16107411389101*c_1100_0^5 - 32050409438794/16107411389101*c_1100_0^4 - 46789609805055/16107411389101*c_1100_0^3 - 67423439677489/16107411389101*c_1100_0^2 - 27182521783155/16107411389101*c_1100_0 + 912192786838/16107411389101, c_0110_3 - 354064561938/16107411389101*c_1100_0^10 - 1212919593782/16107411389101*c_1100_0^9 - 6440410096536/16107411389101*c_1100_0^8 - 6200756231715/16107411389101*c_1100_0^7 - 25091086456428/16107411389101*c_1100_0^6 - 62942421651221/16107411389101*c_1100_0^5 - 75743389858797/16107411389101*c_1100_0^4 - 82856490744285/16107411389101*c_1100_0^3 - 85030737478423/16107411389101*c_1100_0^2 - 64771620722602/16107411389101*c_1100_0 - 30776160720019/16107411389101, c_1010_7 + 123214476998/16107411389101*c_1100_0^10 + 1136678111030/16107411389101*c_1100_0^9 + 4257062246964/16107411389101*c_1100_0^8 + 13737402027477/16107411389101*c_1100_0^7 + 13912062470322/16107411389101*c_1100_0^6 + 66765236438529/16107411389101*c_1100_0^5 + 128151466493833/16107411389101*c_1100_0^4 + 108392179856451/16107411389101*c_1100_0^3 + 126316644768348/16107411389101*c_1100_0^2 + 152415537559129/16107411389101*c_1100_0 + 76387141201903/16107411389101, c_1100_0^11 + 4*c_1100_0^10 + 20*c_1100_0^9 + 55/2*c_1100_0^8 + 157/2*c_1100_0^7 + 217*c_1100_0^6 + 617/2*c_1100_0^5 + 649/2*c_1100_0^4 + 711/2*c_1100_0^3 + 317*c_1100_0^2 + 329/2*c_1100_0 + 77/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.270 Total time: 0.480 seconds, Total memory usage: 32.09MB