Magma V2.19-8 Tue Aug 20 2013 16:14:09 on localhost [Seed = 2496989362] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s105 geometric_solution 3.96785173 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 6 1 0 1 0 0132 2310 2310 3201 0 0 0 0 0 -1 1 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 0 1 -1 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 -0.696584686809 0.115765561271 0 0 2 2 0132 3201 2310 0132 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 1 -1 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 1.897684994251 0.648669081260 3 1 1 3 0132 3201 0132 1023 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 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.092427783734 0.409274367432 2 4 5 2 0132 0132 0132 1023 0 0 0 0 0 -1 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 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.506395582698 0.308263702521 5 3 5 5 2103 0132 3201 2031 0 0 0 0 0 1 -1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509752146678 0.895628047145 4 4 4 3 2310 1302 2103 0132 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.509752146678 0.895628047145 ==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_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_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_5' : negation(d['c_0011_2']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_2']), 'c_1100_2' : d['c_0011_2'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : negation(d['c_0101_3']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_2'], '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_1001_5' : d['c_0011_2'], 'c_1001_4' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_0011_5'], '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_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0011_2'], 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0101_3'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : negation(d['c_0101_1'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_2, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 16 Groebner basis: [ t - 836748940350603946/46157953742176863*c_0101_3^15 - 705442636249428326/46157953742176863*c_0101_3^14 + 1915849294349562198/15385984580725621*c_0101_3^13 - 888231651723144795/15385984580725621*c_0101_3^12 - 18991115001120311281/46157953742176863*c_0101_3^11 + 18341891148645174370/46157953742176863*c_0101_3^10 + 103471629620712753911/46157953742176863*c_0101_3^9 - 71850796052976640699/46157953742176863*c_0101_3^8 - 190071165083477001179/46157953742176863*c_0101_3^7 + 319835165071099539268/46157953742176863*c_0101_3^6 + 219347105990062585475/46157953742176863*c_0101_3^5 - 128154046325143309808/15385984580725621*c_0101_3^4 - 122928379265458717573/46157953742176863*c_0101_3^3 + 152905918138790139686/46157953742176863*c_0101_3^2 + 21903471836683702627/46157953742176863*c_0101_3 - 15597483645369684419/46157953742176863, c_0011_0 - 1, c_0011_2 + 3076572186351401/15385984580725621*c_0101_3^15 + 1574540279956275/15385984580725621*c_0101_3^14 - 20063334786858247/15385984580725621*c_0101_3^13 + 17688817247817961/15385984580725621*c_0101_3^12 + 53808029801310436/15385984580725621*c_0101_3^11 - 78840489773444101/15385984580725621*c_0101_3^10 - 323971590345156782/15385984580725621*c_0101_3^9 + 337820290523956113/15385984580725621*c_0101_3^8 + 408965968366941855/15385984580725621*c_0101_3^7 - 1181192511232578535/15385984580725621*c_0101_3^6 - 157758454717586824/15385984580725621*c_0101_3^5 + 904157840064949766/15385984580725621*c_0101_3^4 - 83304321624867458/15385984580725621*c_0101_3^3 - 86808120774130099/15385984580725621*c_0101_3^2 - 843016850043939/15385984580725621*c_0101_3 - 3889830963161701/15385984580725621, c_0011_5 - 797535051995925/15385984580725621*c_0101_3^15 - 393820116299913/15385984580725621*c_0101_3^14 + 5792740905916383/15385984580725621*c_0101_3^13 - 4336122207872289/15385984580725621*c_0101_3^12 - 17464182573526729/15385984580725621*c_0101_3^11 + 23932709891867711/15385984580725621*c_0101_3^10 + 93127343770983346/15385984580725621*c_0101_3^9 - 102461632708274760/15385984580725621*c_0101_3^8 - 164869308030216814/15385984580725621*c_0101_3^7 + 364486526978478730/15385984580725621*c_0101_3^6 + 100140630268895422/15385984580725621*c_0101_3^5 - 442324041795191703/15385984580725621*c_0101_3^4 - 16887333152406655/15385984580725621*c_0101_3^3 + 141417015570785222/15385984580725621*c_0101_3^2 - 7875006928677336/15385984580725621*c_0101_3 - 5061696117478615/15385984580725621, c_0101_0 + 1033617466788612/15385984580725621*c_0101_3^15 + 461635824492728/15385984580725621*c_0101_3^14 - 7063331064181662/15385984580725621*c_0101_3^13 + 6234293499442408/15385984580725621*c_0101_3^12 + 19568238371526558/15385984580725621*c_0101_3^11 - 29413245747243404/15385984580725621*c_0101_3^10 - 112165796430990633/15385984580725621*c_0101_3^9 + 128443334178425770/15385984580725621*c_0101_3^8 + 159404854178139227/15385984580725621*c_0101_3^7 - 438455492405089167/15385984580725621*c_0101_3^6 - 62887303262636463/15385984580725621*c_0101_3^5 + 425879061156797075/15385984580725621*c_0101_3^4 - 43630745349562664/15385984580725621*c_0101_3^3 - 111339395116527837/15385984580725621*c_0101_3^2 + 40677648881199573/15385984580725621*c_0101_3 + 4053484999315811/15385984580725621, c_0101_1 + 2178545089113937/15385984580725621*c_0101_3^15 + 599811833053749/15385984580725621*c_0101_3^14 - 14540785320873878/15385984580725621*c_0101_3^13 + 16004918214100815/15385984580725621*c_0101_3^12 + 35902701895839848/15385984580725621*c_0101_3^11 - 66264139125517497/15385984580725621*c_0101_3^10 - 217901708529028781/15385984580725621*c_0101_3^9 + 299833278279534428/15385984580725621*c_0101_3^8 + 238761480745465237/15385984580725621*c_0101_3^7 - 933734711791262288/15385984580725621*c_0101_3^6 + 73056120268447066/15385984580725621*c_0101_3^5 + 744168846042989328/15385984580725621*c_0101_3^4 - 263727026096290502/15385984580725621*c_0101_3^3 - 133751253885931342/15385984580725621*c_0101_3^2 + 71567471706314237/15385984580725621*c_0101_3 + 5036008977444807/15385984580725621, c_0101_3^16 - 7*c_0101_3^14 + 9*c_0101_3^13 + 16*c_0101_3^12 - 36*c_0101_3^11 - 96*c_0101_3^10 + 170*c_0101_3^9 + 99*c_0101_3^8 - 479*c_0101_3^7 + 117*c_0101_3^6 + 412*c_0101_3^5 - 179*c_0101_3^4 - 85*c_0101_3^3 + 36*c_0101_3^2 + 4*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB