Magma V2.19-8 Tue Aug 20 2013 18:01:45 on localhost [Seed = 1242300205] Type ? for help. Type -D to quit. Loading file "11_288__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_288 geometric_solution 12.54943686 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1302 0132 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 1 -1 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465263270881 0.881716890666 0 4 6 5 0132 0132 0132 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.829468705876 1.183160610682 0 0 4 7 2031 0132 0132 0132 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 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.531878654746 0.887133205702 8 6 0 9 0132 0132 0132 0132 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 -1 1 -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 0.991359634151 0.722338328845 5 1 10 2 0213 0132 0132 0132 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 -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 0.647091945006 0.573266166766 4 8 1 9 0213 0213 0132 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 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 0.211384625247 0.667853879525 8 3 11 1 3120 0132 0132 0132 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 0.955445968618 0.679157307471 11 11 2 9 0213 2103 0132 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596985533442 0.856715482126 3 10 5 6 0132 0132 0213 3120 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 1 0 -1 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 0.252240800690 0.632907863668 12 7 3 5 0132 2310 0132 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 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 0.437847059756 0.564045627807 12 8 12 4 3120 0132 2310 0132 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 -1 1 0 0 0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295270217723 1.188566223524 7 7 12 6 0213 2103 3120 0132 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.596985533442 0.856715482126 9 10 11 10 0132 3201 3120 3120 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 1 -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 0.295270217723 1.188566223524 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0011_10'], 'c_1001_12' : negation(d['c_0011_7']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_6'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_1001_6'], 'c_1001_8' : d['c_1001_4'], 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : d['c_1001_6'], 'c_1010_10' : d['c_1001_4'], '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_7'], 'c_0101_10' : d['c_0011_7'], '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_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' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_0011_12'], 'c_1100_7' : d['c_0011_12'], 'c_1100_6' : negation(d['c_0101_12']), 'c_1100_1' : negation(d['c_0101_12']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0011_12'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_12'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_6']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_1001_6'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_6'], 'c_1010_8' : d['c_0011_10'], '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0011_7']), 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_6'], 'c_0110_10' : d['c_0011_5'], 'c_0110_12' : d['c_0011_5'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0011_5'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0011_5'], 'c_0101_8' : d['c_0011_5'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_1100_9' : d['c_0101_2'], 'c_0110_3' : d['c_0011_5'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : negation(d['c_0101_6']), 'c_1100_8' : negation(d['c_0101_6'])})} 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_11, c_0011_12, c_0011_5, c_0011_7, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_1001_1, c_1001_4, c_1001_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 81548547915446/92981367027175*c_1001_6^9 - 112193103932/1978326958025*c_1001_6^8 - 1032836824722144/92981367027175*c_1001_6^7 + 531757663680491/92981367027175*c_1001_6^6 - 4239564503033888/92981367027175*c_1001_6^5 + 628048906479754/8452851547925*c_1001_6^4 - 237378372810233/2162357372725*c_1001_6^3 + 3380953046735043/18596273405435*c_1001_6^2 - 433693654635058/2162357372725*c_1001_6 + 8941072105754538/92981367027175, c_0011_0 - 1, c_0011_10 - 1717369/224427335*c_1001_6^9 - 5895321/224427335*c_1001_6^8 - 26218261/224427335*c_1001_6^7 - 68520421/224427335*c_1001_6^6 - 119826617/224427335*c_1001_6^5 - 18756419/20402485*c_1001_6^4 - 82023911/224427335*c_1001_6^3 - 52963115/44885467*c_1001_6^2 + 148629729/224427335*c_1001_6 - 157131213/224427335, c_0011_11 - 3670123/224427335*c_1001_6^9 - 7420212/224427335*c_1001_6^8 - 55636292/224427335*c_1001_6^7 - 3752438/11811965*c_1001_6^6 - 256115884/224427335*c_1001_6^5 - 6388203/20402485*c_1001_6^4 - 336018527/224427335*c_1001_6^3 + 46266502/44885467*c_1001_6^2 - 333688427/224427335*c_1001_6 - 124518221/224427335, c_0011_12 + 8989737/224427335*c_1001_6^9 + 5544353/224427335*c_1001_6^8 + 118823508/224427335*c_1001_6^7 + 2997563/224427335*c_1001_6^6 + 501263931/224427335*c_1001_6^5 - 47869488/20402485*c_1001_6^4 + 1014091823/224427335*c_1001_6^3 - 303530078/44885467*c_1001_6^2 + 1760045868/224427335*c_1001_6 - 708818221/224427335, c_0011_5 - 2608387/44885467*c_1001_6^9 - 150452/44885467*c_1001_6^8 - 32418226/44885467*c_1001_6^7 + 18342548/44885467*c_1001_6^6 - 127302025/44885467*c_1001_6^5 + 21140224/4080497*c_1001_6^4 - 293325941/44885467*c_1001_6^3 + 557555079/44885467*c_1001_6^2 - 584892001/44885467*c_1001_6 + 252939791/44885467, c_0011_7 + 10360136/224427335*c_1001_6^9 + 2311614/224427335*c_1001_6^8 + 128364134/224427335*c_1001_6^7 - 50743431/224427335*c_1001_6^6 + 490431988/224427335*c_1001_6^5 - 74968849/20402485*c_1001_6^4 + 999207779/224427335*c_1001_6^3 - 383430274/44885467*c_1001_6^2 + 1802718264/224427335*c_1001_6 - 620773238/224427335, c_0101_1 + 13032666/224427335*c_1001_6^9 + 9742899/224427335*c_1001_6^8 + 172988894/224427335*c_1001_6^7 + 1984896/11811965*c_1001_6^6 + 717699403/224427335*c_1001_6^5 - 51956284/20402485*c_1001_6^4 + 1282955814/224427335*c_1001_6^3 - 360764717/44885467*c_1001_6^2 + 1704998084/224427335*c_1001_6 - 341932768/224427335, c_0101_12 - 447776/11811965*c_1001_6^9 - 2617696/224427335*c_1001_6^8 - 5367764/11811965*c_1001_6^7 + 37964554/224427335*c_1001_6^6 - 352853117/224427335*c_1001_6^5 + 63093696/20402485*c_1001_6^4 - 615130801/224427335*c_1001_6^3 + 316827146/44885467*c_1001_6^2 - 1308890751/224427335*c_1001_6 + 397598777/224427335, c_0101_2 + 3356316/224427335*c_1001_6^9 + 5735754/224427335*c_1001_6^8 + 42461454/224427335*c_1001_6^7 + 41364504/224427335*c_1001_6^6 + 128054273/224427335*c_1001_6^5 - 6603249/20402485*c_1001_6^4 - 94016951/224427335*c_1001_6^3 - 65859419/44885467*c_1001_6^2 - 313972311/224427335*c_1001_6 + 253312002/224427335, c_0101_6 - 6892012/224427335*c_1001_6^9 + 1592517/224427335*c_1001_6^8 - 81016163/224427335*c_1001_6^7 + 73943597/224427335*c_1001_6^6 - 293730681/224427335*c_1001_6^5 + 63884568/20402485*c_1001_6^4 - 737446268/224427335*c_1001_6^3 + 297800928/44885467*c_1001_6^2 - 1708988133/224427335*c_1001_6 + 719865121/224427335, c_1001_1 + 12931029/224427335*c_1001_6^9 + 8057791/224427335*c_1001_6^8 + 167741986/224427335*c_1001_6^7 + 5171646/224427335*c_1001_6^6 + 656995222/224427335*c_1001_6^5 - 69921831/20402485*c_1001_6^4 + 1078616436/224427335*c_1001_6^3 - 432754050/44885467*c_1001_6^2 + 1677957766/224427335*c_1001_6 - 401224972/224427335, c_1001_4 + 729947/224427335*c_1001_6^9 + 2389663/224427335*c_1001_6^8 + 14846338/224427335*c_1001_6^7 + 34974838/224427335*c_1001_6^6 + 98921001/224427335*c_1001_6^5 + 12934202/20402485*c_1001_6^4 + 181192503/224427335*c_1001_6^3 + 30135914/44885467*c_1001_6^2 - 199376212/224427335*c_1001_6 + 97941139/224427335, c_1001_6^10 + 13*c_1001_6^8 - 7*c_1001_6^7 + 57*c_1001_6^6 - 86*c_1001_6^5 + 150*c_1001_6^4 - 226*c_1001_6^3 + 274*c_1001_6^2 - 164*c_1001_6 + 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.260 Total time: 3.470 seconds, Total memory usage: 80.81MB