Magma V2.19-8 Wed Aug 21 2013 00:58:48 on localhost [Seed = 3052646089] Type ? for help. Type -D to quit. Loading file "L13n5964__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n5964 geometric_solution 11.73943308 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -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 0.120185964276 0.902762284560 0 5 7 6 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 5 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 0.955431704663 0.711112973858 8 0 9 7 0132 0132 0132 1230 1 0 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 0 -1 0 0 0 0 0 0 0 0 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.758977826940 0.824563709686 10 11 11 0 0132 0132 1230 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 -0.056106306723 0.866511930337 9 8 0 11 2031 0132 0132 1230 1 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 0 0 0 0 0 0 0 0 0 0 0 6 -1 -5 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 -0.019888880238 1.055220452505 9 1 12 8 0213 0132 0132 0213 1 0 0 1 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 -2 2 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.548160872270 0.284178289050 7 12 1 11 2310 0132 0132 1302 1 1 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 -5 5 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 0.931587601716 0.720440276625 2 10 6 1 3012 3201 3201 0132 1 1 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 0 0 0 0 0 0 0 -5 0 5 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 0.381406948612 0.609443860703 2 4 12 5 0132 0132 2103 0213 1 0 0 1 0 -1 1 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 -6 6 0 0 0 0 0 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.739323528426 0.649755255668 5 10 4 2 0213 2103 1302 0132 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 -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 3 0 -3 -6 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.351768282477 0.433269260305 3 9 7 12 0132 2103 2310 1302 0 1 1 1 0 -1 0 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 -3 1 2 0 0 0 0 0 0 0 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.172132360784 0.931365190766 4 3 6 3 3012 0132 2031 3012 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 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414684584581 0.468830128868 8 6 10 5 2103 0132 2031 0132 1 0 1 1 0 0 0 0 0 0 -1 1 -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 -2 2 -6 0 0 6 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.070796833669 0.742215664138 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_7'], 'c_1001_10' : d['c_0011_9'], 'c_1001_12' : negation(d['c_0101_3']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_0']), 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : negation(d['c_0011_9']), 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_12'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_1001_2']), 's_0_10' : d['1'], 's_3_10' : 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_0011_12'], 'c_0101_10' : d['c_0101_0'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : 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' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(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_0011_11' : d['c_0011_10'], 'c_1100_8' : negation(d['c_0011_9']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_0110_11'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : d['c_0011_12'], 'c_1100_1' : d['c_0011_12'], 'c_1100_0' : d['c_0110_11'], 'c_1100_3' : d['c_0110_11'], 'c_1100_2' : d['c_0101_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_3'], 'c_1100_10' : d['c_0011_7'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : negation(d['c_0101_3']), 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_12'], 'c_1010_3' : d['c_0101_7'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_1001_2'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_2'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0011_9'], 'c_0101_12' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_9'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_0'], 'c_0101_8' : d['c_0011_7'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0101_2'], '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_0011_7'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0011_10'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : negation(d['c_0101_7'])})} 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_12, c_0011_7, c_0011_9, c_0101_0, c_0101_1, c_0101_2, c_0101_3, c_0101_7, c_0110_11, c_1001_2, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 25702763976428870/1136616283269383*c_1001_5^9 - 1095665462065415/16964422138349*c_1001_5^8 + 108786779650799899/1136616283269383*c_1001_5^7 - 163718747038321000/1136616283269383*c_1001_5^6 + 198207269951095907/1136616283269383*c_1001_5^5 - 133567163543883813/1136616283269383*c_1001_5^4 + 3813086260255836/59821909645757*c_1001_5^3 - 17074312644468683/1136616283269383*c_1001_5^2 - 100147846471879782/1136616283269383*c_1001_5 + 85416489908039137/1136616283269383, c_0011_0 - 1, c_0011_10 - 2974436317162/3148521560303*c_1001_5^9 + 55362675511/46992859109*c_1001_5^8 - 3712238577941/3148521560303*c_1001_5^7 + 7545377768797/3148521560303*c_1001_5^6 - 3890109498280/3148521560303*c_1001_5^5 - 3630220347584/3148521560303*c_1001_5^4 - 1300626337044/3148521560303*c_1001_5^3 - 4866135876691/3148521560303*c_1001_5^2 + 7238430117480/3148521560303*c_1001_5 + 5352951718806/3148521560303, c_0011_12 - 414913113393/3148521560303*c_1001_5^9 + 19007774943/46992859109*c_1001_5^8 - 2782184039304/3148521560303*c_1001_5^7 + 4243129470392/3148521560303*c_1001_5^6 - 6061105806075/3148521560303*c_1001_5^5 + 5509721392702/3148521560303*c_1001_5^4 - 4703736608094/3148521560303*c_1001_5^3 + 2322155742944/3148521560303*c_1001_5^2 + 658857722196/3148521560303*c_1001_5 - 1130946576663/3148521560303, c_0011_7 + 63807961942/449788794329*c_1001_5^9 + 4966969442/6713265587*c_1001_5^8 - 336115779038/449788794329*c_1001_5^7 + 671864897919/449788794329*c_1001_5^6 - 1160258318041/449788794329*c_1001_5^5 + 1261370683464/449788794329*c_1001_5^4 - 419881060909/449788794329*c_1001_5^3 + 1177448213658/449788794329*c_1001_5^2 + 148472576087/449788794329*c_1001_5 - 215091435312/449788794329, c_0011_9 + 3887484833514/3148521560303*c_1001_5^9 - 97597938140/46992859109*c_1001_5^8 + 6557342484271/3148521560303*c_1001_5^7 - 12997621810993/3148521560303*c_1001_5^6 + 9858310560068/3148521560303*c_1001_5^5 + 532596319393/3148521560303*c_1001_5^4 + 1871173910346/3148521560303*c_1001_5^3 + 2503387694358/3148521560303*c_1001_5^2 - 12560805759168/3148521560303*c_1001_5 - 7615515315505/3148521560303, c_0101_0 - 1, c_0101_1 - 5801982555806/3148521560303*c_1001_5^9 + 135529869077/46992859109*c_1001_5^8 - 12931979149331/3148521560303*c_1001_5^7 + 21967370909741/3148521560303*c_1001_5^6 - 20312389105047/3148521560303*c_1001_5^5 + 8752261444265/3148521560303*c_1001_5^4 - 11461693812151/3148521560303*c_1001_5^3 - 3663882227100/3148521560303*c_1001_5^2 + 12126490154544/3148521560303*c_1001_5 + 5551456552126/3148521560303, c_0101_2 - 7614385440640/3148521560303*c_1001_5^9 + 125186528644/46992859109*c_1001_5^8 - 14071846806690/3148521560303*c_1001_5^7 + 22358103216333/3148521560303*c_1001_5^6 - 19213125651203/3148521560303*c_1001_5^5 + 4991222056785/3148521560303*c_1001_5^4 - 17076495564188/3148521560303*c_1001_5^3 - 6878188197553/3148521560303*c_1001_5^2 + 3817297467598/3148521560303*c_1001_5 + 6631810873678/3148521560303, c_0101_3 + 5004081497771/3148521560303*c_1001_5^9 - 122266649430/46992859109*c_1001_5^8 + 9714367742122/3148521560303*c_1001_5^7 - 18584695251223/3148521560303*c_1001_5^6 + 15994931967134/3148521560303*c_1001_5^5 - 3981251453591/3148521560303*c_1001_5^4 + 9673609135243/3148521560303*c_1001_5^3 + 1530726697165/3148521560303*c_1001_5^2 - 14001171908380/3148521560303*c_1001_5 - 8955274777369/3148521560303, c_0101_7 + 656713443095/3148521560303*c_1001_5^9 - 22988456023/46992859109*c_1001_5^8 + 1459324185085/3148521560303*c_1001_5^7 - 2833646036548/3148521560303*c_1001_5^6 + 2295346297038/3148521560303*c_1001_5^5 - 365892986840/3148521560303*c_1001_5^4 + 146889670027/3148521560303*c_1001_5^3 + 1960474521226/3148521560303*c_1001_5^2 - 3676426540720/3148521560303*c_1001_5 + 374404236190/3148521560303, c_0110_11 - 124330927762/46992859109*c_1001_5^9 + 200128191110/46992859109*c_1001_5^8 - 253804102595/46992859109*c_1001_5^7 + 475368789045/46992859109*c_1001_5^6 - 406116165022/46992859109*c_1001_5^5 + 155428799504/46992859109*c_1001_5^4 - 248924435610/46992859109*c_1001_5^3 - 21224313986/46992859109*c_1001_5^2 + 325094659616/46992859109*c_1001_5 + 203286579206/46992859109, c_1001_2 - 2492896418634/3148521560303*c_1001_5^9 + 54215110490/46992859109*c_1001_5^8 - 4712984645041/3148521560303*c_1001_5^7 + 9285749780058/3148521560303*c_1001_5^6 - 7519368528036/3148521560303*c_1001_5^5 + 3586230957546/3148521560303*c_1001_5^4 - 6812691593754/3148521560303*c_1001_5^3 + 866465436080/3148521560303*c_1001_5^2 + 5494568120446/3148521560303*c_1001_5 + 6121652969688/3148521560303, c_1001_5^10 - 14/17*c_1001_5^9 + 15/17*c_1001_5^8 - 37/17*c_1001_5^7 + 9/17*c_1001_5^6 + 21/17*c_1001_5^5 + 19/17*c_1001_5^4 + 30/17*c_1001_5^3 - 35/17*c_1001_5^2 - 55/17*c_1001_5 - 19/17 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.660 Total time: 0.870 seconds, Total memory usage: 32.09MB