Magma V2.19-8 Tue Aug 20 2013 16:16:38 on localhost [Seed = 3103335522] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0925 geometric_solution 4.82183475 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 1 0132 0132 0132 1302 0 0 0 0 0 0 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 -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 0.653598435635 0.637800554370 0 3 0 2 0132 1230 2031 2103 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 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 0.657578501527 1.210744915613 4 0 4 1 0132 0132 1023 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.866188843741 0.286740386967 5 5 1 0 0132 2310 3012 0132 0 0 0 0 0 1 0 -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 -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 -1.033493765013 1.592319654680 2 4 2 4 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.834701898963 0.157487650339 3 6 6 3 0132 0132 1023 3201 0 0 0 0 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 -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 -0.011760532747 0.317075822970 6 5 5 6 3201 0132 1023 2310 0 0 0 0 0 0 1 -1 1 0 0 -1 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 0 -1 1 -1 0 0 1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.049209915552 1.016481676303 ==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' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_0']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0101_1'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_0']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0011_0']), 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : negation(d['c_0101_3']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : d['c_0101_4'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_0']), 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_6']), 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_0']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : negation(d['c_0101_3']), 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : d['c_0101_3'], 'c_1010_0' : d['c_0101_4']})} 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_3, c_0101_1, c_0101_2, c_0101_3, c_0101_4, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 28 Groebner basis: [ t + 20754825/4*c_0101_6^27 - 91556575/4*c_0101_6^26 - 315171595/4*c_0101_6^25 + 1520217613/4*c_0101_6^24 + 2508658353/4*c_0101_6^23 - 11015011023/4*c_0101_6^22 - 3589004191*c_0101_6^21 + 45007502245/4*c_0101_6^20 + 59774013421/4*c_0101_6^19 - 111447244663/4*c_0101_6^18 - 171398819269/4*c_0101_6^17 + 166413457941/4*c_0101_6^16 + 330104598375/4*c_0101_6^15 - 132405886881/4*c_0101_6^14 - 212571492379/2*c_0101_6^13 + 11998374701/4*c_0101_6^12 + 363177921519/4*c_0101_6^11 + 87358222575/4*c_0101_6^10 - 99328464761/2*c_0101_6^9 - 94118739299/4*c_0101_6^8 + 62253851513/4*c_0101_6^7 + 48093200421/4*c_0101_6^6 - 6604495367/4*c_0101_6^5 - 12621438757/4*c_0101_6^4 - 911596733/2*c_0101_6^3 + 1248174909/4*c_0101_6^2 + 482793307/4*c_0101_6 + 12612962, c_0011_0 - 1, c_0011_3 + 153022*c_0101_6^27 - 674142*c_0101_6^26 - 2327884*c_0101_6^25 + 11195953*c_0101_6^24 + 18564672*c_0101_6^23 - 81123323*c_0101_6^22 - 106343199*c_0101_6^21 + 331355704*c_0101_6^20 + 442778238*c_0101_6^19 - 819694654*c_0101_6^18 - 1269074535*c_0101_6^17 + 1221075557*c_0101_6^16 + 2442699671*c_0101_6^15 - 964480954*c_0101_6^14 - 3143672052*c_0101_6^13 + 72669249*c_0101_6^12 + 2682827342*c_0101_6^11 + 658382925*c_0101_6^10 - 1465116051*c_0101_6^9 - 702486648*c_0101_6^8 + 457449101*c_0101_6^7 + 357792880*c_0101_6^6 - 47560107*c_0101_6^5 - 93701057*c_0101_6^4 - 13799646*c_0101_6^3 + 9235112*c_0101_6^2 + 3604867*c_0101_6 + 378866, c_0101_1 - 55157*c_0101_6^27 + 240631*c_0101_6^26 + 850529*c_0101_6^25 - 4004581*c_0101_6^24 - 6878067*c_0101_6^23 + 29034860*c_0101_6^22 + 39674042*c_0101_6^21 - 118375564*c_0101_6^20 - 165178146*c_0101_6^19 + 291032880*c_0101_6^18 + 472015297*c_0101_6^17 - 426838350*c_0101_6^16 - 905082689*c_0101_6^15 + 320558151*c_0101_6^14 + 1159740551*c_0101_6^13 + 10862714*c_0101_6^12 - 984153131*c_0101_6^11 - 271348193*c_0101_6^10 + 532623564*c_0101_6^9 + 273882292*c_0101_6^8 - 162954171*c_0101_6^7 - 136861189*c_0101_6^6 + 15019650*c_0101_6^5 + 35421935*c_0101_6^4 + 5711815*c_0101_6^3 - 3432628*c_0101_6^2 - 1397274*c_0101_6 - 150217, c_0101_2 - 3739*c_0101_6^27 + 15925*c_0101_6^26 + 59458*c_0101_6^25 - 266022*c_0101_6^24 - 495973*c_0101_6^23 + 1928652*c_0101_6^22 + 2905170*c_0101_6^21 - 7809222*c_0101_6^20 - 12093751*c_0101_6^19 + 18831666*c_0101_6^18 + 34314291*c_0101_6^17 - 26297003*c_0101_6^16 - 65154497*c_0101_6^15 + 16474877*c_0101_6^14 + 82462631*c_0101_6^13 + 7789002*c_0101_6^12 - 68769063*c_0101_6^11 - 24758682*c_0101_6^10 + 36113922*c_0101_6^9 + 22358649*c_0101_6^8 - 10256234*c_0101_6^7 - 10688095*c_0101_6^6 + 474439*c_0101_6^5 + 2679625*c_0101_6^4 + 555179*c_0101_6^3 - 244819*c_0101_6^2 - 115809*c_0101_6 - 13536, c_0101_3 + c_0101_6^27 - 4*c_0101_6^26 - 17*c_0101_6^25 + 67*c_0101_6^24 + 151*c_0101_6^23 - 481*c_0101_6^22 - 910*c_0101_6^21 + 1884*c_0101_6^20 + 3772*c_0101_6^19 - 4185*c_0101_6^18 - 10467*c_0101_6^17 + 4621*c_0101_6^16 + 19203*c_0101_6^15 + 163*c_0101_6^14 - 23108*c_0101_6^13 - 7848*c_0101_6^12 + 17736*c_0101_6^11 + 11407*c_0101_6^10 - 7840*c_0101_6^9 - 8472*c_0101_6^8 + 1134*c_0101_6^7 + 3551*c_0101_6^6 + 635*c_0101_6^5 - 739*c_0101_6^4 - 338*c_0101_6^3 + 24*c_0101_6^2 + 49*c_0101_6 + 11, c_0101_4 + 130214*c_0101_6^27 - 568885*c_0101_6^26 - 2003996*c_0101_6^25 + 9464428*c_0101_6^24 + 16173843*c_0101_6^23 - 68613616*c_0101_6^22 - 93202834*c_0101_6^21 + 279808812*c_0101_6^20 + 388042125*c_0101_6^19 - 688523269*c_0101_6^18 - 1109330606*c_0101_6^17 + 1012070872*c_0101_6^16 + 2128229959*c_0101_6^15 - 765769913*c_0101_6^14 - 2728646863*c_0101_6^13 - 13273886*c_0101_6^12 + 2317283720*c_0101_6^11 + 629179504*c_0101_6^10 - 1255641661*c_0101_6^9 - 639608727*c_0101_6^8 + 385227052*c_0101_6^7 + 320422051*c_0101_6^6 - 36134306*c_0101_6^5 - 83059462*c_0101_6^4 - 13242551*c_0101_6^3 + 8066761*c_0101_6^2 + 3266121*c_0101_6 + 350173, c_0101_6^28 - 4*c_0101_6^27 - 17*c_0101_6^26 + 67*c_0101_6^25 + 151*c_0101_6^24 - 481*c_0101_6^23 - 910*c_0101_6^22 + 1884*c_0101_6^21 + 3772*c_0101_6^20 - 4185*c_0101_6^19 - 10467*c_0101_6^18 + 4621*c_0101_6^17 + 19203*c_0101_6^16 + 163*c_0101_6^15 - 23108*c_0101_6^14 - 7848*c_0101_6^13 + 17736*c_0101_6^12 + 11407*c_0101_6^11 - 7840*c_0101_6^10 - 8472*c_0101_6^9 + 1134*c_0101_6^8 + 3551*c_0101_6^7 + 635*c_0101_6^6 - 739*c_0101_6^5 - 338*c_0101_6^4 + 24*c_0101_6^3 + 48*c_0101_6^2 + 12*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB