Magma V2.19-8 Wed Aug 21 2013 01:08:00 on localhost [Seed = 2614985386] Type ? for help. Type -D to quit. Loading file "L14n38116__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38116 geometric_solution 11.42000125 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 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 -1 1 0 -1 0 1 0 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1.067327808685 0.596225913317 0 5 7 6 0132 0132 0132 0132 1 0 1 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 1 0 -1 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.190081469447 1.098409088343 5 0 9 8 0132 0132 0132 0132 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 0 0 0 0 0.756629006669 0.692226318124 6 5 10 0 3201 3201 0132 0132 1 0 1 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 0 1 0 -1 1 0 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 0.302074718016 0.488996751383 10 11 0 10 0213 0132 0132 0132 1 0 0 0 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 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 0.120407710363 1.191473880401 2 1 3 7 0132 0132 2310 0132 1 0 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.280541615940 0.658219581660 11 11 1 3 0321 1230 0132 2310 1 0 0 1 0 0 0 0 0 0 0 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 0 0 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 0.838902100186 1.199903008792 12 9 5 1 0132 0213 0132 0132 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 1 -1 0 -1 0 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 0.260483900025 1.466925841852 10 11 2 9 1230 0321 0132 0321 1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.152966639736 0.883936492011 12 8 7 2 3120 0321 0213 0132 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 -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 0.882650282820 0.660859779236 4 8 4 3 0213 3012 0132 0132 1 0 0 0 0 0 0 0 -1 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.470716369653 1.091126624777 6 4 6 8 0321 0132 3012 0321 1 1 0 0 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 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 0.608634139765 0.559780543082 7 12 12 9 0132 1230 3012 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 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 0.327723992129 0.450159654542 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_6']), 'c_1001_10' : negation(d['c_0011_6']), 'c_1001_12' : negation(d['c_0011_12']), 'c_1001_5' : negation(d['c_1001_0']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_1'], 'c_1001_6' : negation(d['c_1001_0']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_5']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_1'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : negation(d['1']), 's_3_10' : negation(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' : negation(d['c_0101_0']), 'c_0101_10' : negation(d['c_0011_11']), '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' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(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_1100_8' : d['c_1001_1'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_3'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_3'], 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : d['c_0011_3'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_1'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_6']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), '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' : negation(d['1']), 's_3_3' : negation(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' : d['c_0011_12'], '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_10']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : negation(d['c_0011_12']), '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_6']), 'c_0110_10' : d['c_0011_11'], 'c_0110_12' : d['c_0101_2'], 'c_0101_12' : d['c_0011_10'], 'c_0110_0' : d['c_0011_10'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0011_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_10'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_5'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : d['c_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1001_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_11']), 'c_0110_7' : d['c_0011_10'], 'c_0110_6' : negation(d['c_0011_11'])})} 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_3, c_0011_6, c_0101_0, c_0101_2, c_0101_5, c_1001_0, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 906346852222816/35052805795*c_1100_0^10 - 811820908442991/5007543685*c_1100_0^9 + 15394148047397393/35052805795*c_1100_0^8 - 24304516554562633/35052805795*c_1100_0^7 + 26073007117340671/35052805795*c_1100_0^6 - 4051891887212079/7010561159*c_1100_0^5 + 11513377547673033/35052805795*c_1100_0^4 - 991530677119960/7010561159*c_1100_0^3 + 1657330023989407/35052805795*c_1100_0^2 - 430963902243356/35052805795*c_1100_0 + 94048024971752/35052805795, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 56869262259/7010561159*c_1100_0^10 + 27102551704/1001508737*c_1100_0^9 - 154095931076/7010561159*c_1100_0^8 - 78711716589/7010561159*c_1100_0^7 + 123149797427/7010561159*c_1100_0^6 - 98692951503/7010561159*c_1100_0^5 + 27265874337/7010561159*c_1100_0^4 - 16570330520/7010561159*c_1100_0^3 + 12850184248/7010561159*c_1100_0^2 - 10232009791/7010561159*c_1100_0 + 541556840/7010561159, c_0011_12 + 353725838446/7010561159*c_1100_0^10 - 306334239513/1001508737*c_1100_0^9 + 5655362098493/7010561159*c_1100_0^8 - 8742116787972/7010561159*c_1100_0^7 + 9174474377428/7010561159*c_1100_0^6 - 6872002129877/7010561159*c_1100_0^5 + 3737020181238/7010561159*c_1100_0^4 - 1479528355439/7010561159*c_1100_0^3 + 465292538805/7010561159*c_1100_0^2 - 112562462794/7010561159*c_1100_0 + 25975110521/7010561159, c_0011_3 - 4783082741/7010561159*c_1100_0^10 + 3256483660/1001508737*c_1100_0^9 - 10823783557/7010561159*c_1100_0^8 - 102036581840/7010561159*c_1100_0^7 + 220709239182/7010561159*c_1100_0^6 - 210224690401/7010561159*c_1100_0^5 + 143367018351/7010561159*c_1100_0^4 - 62559449054/7010561159*c_1100_0^3 + 23838061588/7010561159*c_1100_0^2 - 10528455727/7010561159*c_1100_0 - 847655993/7010561159, c_0011_6 + 8731778042/7010561159*c_1100_0^10 - 2326019493/1001508737*c_1100_0^9 - 79874237483/7010561159*c_1100_0^8 + 309899523331/7010561159*c_1100_0^7 - 427204878293/7010561159*c_1100_0^6 + 324461421862/7010561159*c_1100_0^5 - 172614638398/7010561159*c_1100_0^4 + 52584448629/7010561159*c_1100_0^3 - 12227299046/7010561159*c_1100_0^2 + 7204740594/7010561159*c_1100_0 - 1310421207/7010561159, c_0101_0 + 8731778042/7010561159*c_1100_0^10 - 2326019493/1001508737*c_1100_0^9 - 79874237483/7010561159*c_1100_0^8 + 309899523331/7010561159*c_1100_0^7 - 427204878293/7010561159*c_1100_0^6 + 324461421862/7010561159*c_1100_0^5 - 172614638398/7010561159*c_1100_0^4 + 52584448629/7010561159*c_1100_0^3 - 12227299046/7010561159*c_1100_0^2 + 7204740594/7010561159*c_1100_0 - 1310421207/7010561159, c_0101_2 - 959092177993/7010561159*c_1100_0^10 + 754941417316/1001508737*c_1100_0^9 - 12384145287545/7010561159*c_1100_0^8 + 16910534455617/7010561159*c_1100_0^7 - 16158903889255/7010561159*c_1100_0^6 + 11128739388964/7010561159*c_1100_0^5 - 5617705592511/7010561159*c_1100_0^4 + 2222420098596/7010561159*c_1100_0^3 - 635469949248/7010561159*c_1100_0^2 + 157586147646/7010561159*c_1100_0 - 23849349763/7010561159, c_0101_5 - 1, c_1001_0 + c_1100_0^2 - c_1100_0, c_1001_1 + 34438276105/1001508737*c_1100_0^10 - 198468015638/1001508737*c_1100_0^9 + 493750096192/1001508737*c_1100_0^8 - 724228203959/1001508737*c_1100_0^7 + 740500645641/1001508737*c_1100_0^6 - 550353796988/1001508737*c_1100_0^5 + 304500454083/1001508737*c_1100_0^4 - 131520573618/1001508737*c_1100_0^3 + 42300089943/1001508737*c_1100_0^2 - 10595365589/1001508737*c_1100_0 + 1574921847/1001508737, c_1001_2 - 4783082741/7010561159*c_1100_0^10 + 3256483660/1001508737*c_1100_0^9 - 10823783557/7010561159*c_1100_0^8 - 102036581840/7010561159*c_1100_0^7 + 220709239182/7010561159*c_1100_0^6 - 210224690401/7010561159*c_1100_0^5 + 143367018351/7010561159*c_1100_0^4 - 62559449054/7010561159*c_1100_0^3 + 23838061588/7010561159*c_1100_0^2 - 10528455727/7010561159*c_1100_0 - 847655993/7010561159, c_1100_0^11 - 341/59*c_1100_0^10 + 853/59*c_1100_0^9 - 1266/59*c_1100_0^8 + 1323/59*c_1100_0^7 - 1018/59*c_1100_0^6 + 592/59*c_1100_0^5 - 274/59*c_1100_0^4 + 98/59*c_1100_0^3 - 30/59*c_1100_0^2 + 6/59*c_1100_0 - 1/59 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.350 seconds, Total memory usage: 32.09MB