Magma V2.19-8 Tue Aug 20 2013 16:18:03 on localhost [Seed = 1157945738] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2285 geometric_solution 5.69844175 oriented_manifold CS_known 0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 0 1 2 0 3012 0132 0132 1230 0 0 0 0 0 -1 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 0 0 0 1 1 -2 2 0 -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 0.849490746491 1.978744834510 3 0 2 4 0132 0132 1302 0132 0 0 0 0 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 -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 -0.079360352737 0.477192543672 1 5 3 0 2031 0132 2310 0132 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 1 0 -1 0 0 -1 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 0.360747752258 0.208084964524 1 2 6 4 0132 3201 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.407450530911 1.087763435659 3 6 1 5 3201 1230 0132 1023 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 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 0.698015955344 0.806201433078 6 2 6 4 0321 0132 0213 1023 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 -1 1 0 0 0 0 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 1.275234018537 1.015434269960 5 5 4 3 0321 0213 3012 0132 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.362533541039 1.283713276532 ==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' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_2'], 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0101_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_6'], 'c_0101_4' : d['c_0011_2'], 'c_0101_3' : d['c_0011_2'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_2']), 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_6'], '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' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_4']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_4']), 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_0110_4'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : negation(d['c_0011_2']), 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : negation(d['c_0011_6']), 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_2'], 'c_1010_6' : negation(d['c_0101_2']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : negation(d['c_0110_4']), 'c_1010_2' : negation(d['c_0011_4']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0101_0']})} 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_2, c_0011_4, c_0011_6, c_0101_0, c_0101_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 63116669549044821158/370023446081419871795*c_0110_4^10 - 110130838549079138469/370023446081419871795*c_0110_4^9 + 1470443571219026415836/370023446081419871795*c_0110_4^8 + 4670730185528051502094/370023446081419871795*c_0110_4^7 - 1220160947937318750850/74004689216283974359*c_0110_4^6 + 18027235735328515052614/370023446081419871795*c_0110_4^5 - 12515336677933309332201/370023446081419871795*c_0110_4^4 + 39544830072050993513998/370023446081419871795*c_0110_4^3 + 5140772578258009152953/370023446081419871795*c_0110_4^2 + 11998008906782691038404/370023446081419871795*c_0110_4 - 17336678546293133829026/370023446081419871795, c_0011_0 - 1, c_0011_2 + 121479039604818/387296887252899175*c_0110_4^10 + 31358254582554/15491875490115967*c_0110_4^9 - 1059734145435096/387296887252899175*c_0110_4^8 - 21371405476150337/387296887252899175*c_0110_4^7 - 49442568411496239/387296887252899175*c_0110_4^6 - 26829086578572784/387296887252899175*c_0110_4^5 - 33092032296985258/387296887252899175*c_0110_4^4 - 231064853531293559/387296887252899175*c_0110_4^3 - 114690628323147817/387296887252899175*c_0110_4^2 - 378806537729233947/387296887252899175*c_0110_4 - 72676984470957004/387296887252899175, c_0011_4 + 485553864940887/387296887252899175*c_0110_4^10 + 280389360640309/77459377450579835*c_0110_4^9 - 10404940541141129/387296887252899175*c_0110_4^8 - 48355645967212518/387296887252899175*c_0110_4^7 + 8724415684290939/387296887252899175*c_0110_4^6 - 95983901358804221/387296887252899175*c_0110_4^5 - 125978097729584127/387296887252899175*c_0110_4^4 - 106237362334992966/387296887252899175*c_0110_4^3 - 406971975437448543/387296887252899175*c_0110_4^2 - 60645037524034248/387296887252899175*c_0110_4 - 117325952308464391/387296887252899175, c_0011_6 + 152410391886517/77459377450579835*c_0110_4^10 + 323014773588056/77459377450579835*c_0110_4^9 - 3389635538044906/77459377450579835*c_0110_4^8 - 12537278607340936/77459377450579835*c_0110_4^7 + 8824601712665631/77459377450579835*c_0110_4^6 - 41957264906891258/77459377450579835*c_0110_4^5 + 26697746573761454/77459377450579835*c_0110_4^4 - 91039557850376054/77459377450579835*c_0110_4^3 - 9978298770782267/15491875490115967*c_0110_4^2 - 45105000688901638/77459377450579835*c_0110_4 - 8115519677091451/15491875490115967, c_0101_0 + 233733795829746/387296887252899175*c_0110_4^10 + 25597686677015/15491875490115967*c_0110_4^9 - 5650775643930687/387296887252899175*c_0110_4^8 - 24608523623231839/387296887252899175*c_0110_4^7 + 18720230294707917/387296887252899175*c_0110_4^6 + 20192572927192552/387296887252899175*c_0110_4^5 - 32527850149736376/387296887252899175*c_0110_4^4 - 23191000402205223/387296887252899175*c_0110_4^3 + 103869937222772101/387296887252899175*c_0110_4^2 - 16390173472003859/387296887252899175*c_0110_4 + 402524249138897212/387296887252899175, c_0101_2 + 747659129064248/387296887252899175*c_0110_4^10 + 41937645302456/15491875490115967*c_0110_4^9 - 17632570204426906/387296887252899175*c_0110_4^8 - 48574332982760682/387296887252899175*c_0110_4^7 + 86962150597407496/387296887252899175*c_0110_4^6 - 262767427132603999/387296887252899175*c_0110_4^5 + 204175308124286312/387296887252899175*c_0110_4^4 - 604738636498976699/387296887252899175*c_0110_4^3 + 40305966295107438/387296887252899175*c_0110_4^2 - 434316231580699792/387296887252899175*c_0110_4 - 3832148338578369/387296887252899175, c_0110_4^11 + 2*c_0110_4^10 - 22*c_0110_4^9 - 78*c_0110_4^8 + 59*c_0110_4^7 - 334*c_0110_4^6 + 168*c_0110_4^5 - 800*c_0110_4^4 - 195*c_0110_4^3 - 717*c_0110_4^2 - 136*c_0110_4 - 281 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB