Magma V2.19-8 Tue Aug 20 2013 16:14:29 on localhost [Seed = 3052677553] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s467 geometric_solution 4.82055687 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 1 2 0132 0132 1023 1023 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 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 0.420485722289 0.295141739611 0 3 0 4 0132 0132 1023 0132 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 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 0.406749474397 1.118313195516 3 0 4 0 3201 0132 3201 1023 0 0 0 0 0 1 -1 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 -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 0.406749474397 1.118313195516 3 1 3 2 2310 0132 3201 2310 0 0 0 0 0 0 0 0 1 0 -1 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 -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 -0.050211939550 1.171365072083 2 5 1 5 2310 0132 0132 2310 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222313239524 1.760717601009 4 4 5 5 3201 0132 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411916842469 0.144264088685 ==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' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_5' : d['c_0101_2'], 'c_1100_4' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_4'], 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_0011_4']), 'c_0101_5' : d['c_0101_2'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_2'], 'c_0101_2' : d['c_0101_2'], '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_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0110_5']), 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_0']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0101_2']), 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_4, c_0101_0, c_0101_1, c_0101_2, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 140382020635506200997/2007608406931384528*c_0110_5^14 - 22625391007779596547/118094612172434384*c_0110_5^13 - 137427933285488370503/501902101732846132*c_0110_5^12 + 317606679690361256825/1003804203465692264*c_0110_5^11 + 851537086725762101273/1003804203465692264*c_0110_5^10 + 198751674224343257755/2007608406931384528*c_0110_5^9 - 140920089411719151407/125475525433211533*c_0110_5^8 - 162836241758644491377/2007608406931384528*c_0110_5^7 + 14215913882905126140/125475525433211533*c_0110_5^6 - 1029085643308996319029/2007608406931384528*c_0110_5^5 + 698733626057910873739/2007608406931384528*c_0110_5^4 + 382226182043066082701/501902101732846132*c_0110_5^3 + 209637464778429532813/2007608406931384528*c_0110_5^2 - 128865135694909317523/1003804203465692264*c_0110_5 + 220565470827875486523/2007608406931384528, c_0011_0 - 1, c_0011_4 + 99375620744721321/118094612172434384*c_0110_5^14 - 238045156938607035/118094612172434384*c_0110_5^13 - 124032916887261551/29523653043108596*c_0110_5^12 + 180332104817744397/59047306086217192*c_0110_5^11 + 690627975751533017/59047306086217192*c_0110_5^10 + 478544498107288591/118094612172434384*c_0110_5^9 - 412630434252213157/29523653043108596*c_0110_5^8 - 580322268560587017/118094612172434384*c_0110_5^7 + 19702688680601515/7380913260777149*c_0110_5^6 - 824066288621520369/118094612172434384*c_0110_5^5 + 252243479697077555/118094612172434384*c_0110_5^4 + 330764599998428781/29523653043108596*c_0110_5^3 + 434219098975863161/118094612172434384*c_0110_5^2 - 101198338766224153/59047306086217192*c_0110_5 + 93385948209986643/118094612172434384, c_0101_0 - 19379424602607111/118094612172434384*c_0110_5^14 + 66178766334401637/118094612172434384*c_0110_5^13 + 10384242397604713/29523653043108596*c_0110_5^12 - 61402783390784163/59047306086217192*c_0110_5^11 - 121907056812917631/59047306086217192*c_0110_5^10 + 95193280384681743/118094612172434384*c_0110_5^9 + 102385903283848179/29523653043108596*c_0110_5^8 - 13729262700443433/118094612172434384*c_0110_5^7 - 2401668600550091/7380913260777149*c_0110_5^6 + 2715375054002671/118094612172434384*c_0110_5^5 - 153988668625939053/118094612172434384*c_0110_5^4 - 90148225683589143/29523653043108596*c_0110_5^3 + 119133912003701705/118094612172434384*c_0110_5^2 + 107524610137017007/59047306086217192*c_0110_5 - 2168153088378077/118094612172434384, c_0101_1 - 28377285547340529/59047306086217192*c_0110_5^14 + 63429749623096101/59047306086217192*c_0110_5^13 + 17812535359099752/7380913260777149*c_0110_5^12 - 32372204578974823/29523653043108596*c_0110_5^11 - 165555784864941953/29523653043108596*c_0110_5^10 - 233367545886220083/59047306086217192*c_0110_5^9 + 142404328485706603/29523653043108596*c_0110_5^8 + 149261871552139203/59047306086217192*c_0110_5^7 + 18509951951319015/7380913260777149*c_0110_5^6 + 335870340125362113/59047306086217192*c_0110_5^5 - 187862118212362277/59047306086217192*c_0110_5^4 - 37095105650630370/7380913260777149*c_0110_5^3 - 181685146614499573/59047306086217192*c_0110_5^2 - 8328770715310222/7380913260777149*c_0110_5 - 61350128766815465/59047306086217192, c_0101_2 + 25080571389457773/29523653043108596*c_0110_5^14 - 33371131893387111/14761826521554298*c_0110_5^13 - 51555170847451893/14761826521554298*c_0110_5^12 + 25687503195636603/7380913260777149*c_0110_5^11 + 158828240308642151/14761826521554298*c_0110_5^10 + 62829243674258837/29523653043108596*c_0110_5^9 - 408886966059900491/29523653043108596*c_0110_5^8 - 18669865678414014/7380913260777149*c_0110_5^7 + 11373995074004647/7380913260777149*c_0110_5^6 - 150083206091289365/29523653043108596*c_0110_5^5 + 43182645526697823/14761826521554298*c_0110_5^4 + 143061213024385873/14761826521554298*c_0110_5^3 + 83795303211974107/29523653043108596*c_0110_5^2 - 48889150395968051/29523653043108596*c_0110_5 + 5933449964885716/7380913260777149, c_0110_5^15 - 8/3*c_0110_5^14 - 37/9*c_0110_5^13 + 38/9*c_0110_5^12 + 112/9*c_0110_5^11 + 7/3*c_0110_5^10 - 143/9*c_0110_5^9 - 7/3*c_0110_5^8 + 13/9*c_0110_5^7 - 65/9*c_0110_5^6 + 40/9*c_0110_5^5 + 101/9*c_0110_5^4 + 7/3*c_0110_5^3 - 5/3*c_0110_5^2 + 13/9*c_0110_5 + 1/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.210 seconds, Total memory usage: 32.09MB