Magma V2.19-8 Tue Aug 20 2013 23:53:30 on localhost [Seed = 357793519] Type ? for help. Type -D to quit. Loading file "L13n6166__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6166 geometric_solution 10.57421984 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 -1 0 1 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 0.286646271324 0.397299236597 0 5 7 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 5 0 -5 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 0.811438365625 2.195706627462 3 0 9 8 2310 0132 0132 0132 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 1 -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 0.851675858701 1.214004606477 10 6 2 0 0132 2031 3201 0132 0 1 1 1 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 1 -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 0.838545814950 0.748321009783 7 11 0 5 0132 0132 0132 2310 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 0 0 0 0 0 -1 1 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 1.060567811083 0.917838887757 4 1 8 9 3201 0132 2103 0321 0 1 0 1 0 1 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 -5 -1 6 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 0.544610663922 0.532092525604 3 8 1 11 1302 2103 0132 2103 0 1 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 0 5 -5 -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 0.190663868453 0.352225671327 4 8 10 1 0132 0321 0132 0132 0 1 0 1 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 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393186146378 0.539565276481 5 6 2 7 2103 2103 0132 0321 0 1 0 1 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.071584976346 1.084791969437 11 5 10 2 2103 0321 0213 0132 0 1 0 1 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 -6 5 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 0.133491403399 0.550949731101 3 9 11 7 0132 0213 2103 0132 0 1 1 1 0 1 -1 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 -5 5 0 0 0 0 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 0.292305991047 0.857200954294 10 4 9 6 2103 0132 2103 2103 0 1 0 1 0 0 0 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 0 0 0 0 0 0 0 -5 0 0 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.286371033967 0.346869579922 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_6'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0011_6'], 'c_1010_11' : d['c_1001_1'], 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_10'], 'c_0101_10' : d['c_0011_10'], '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_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_1100_8' : d['c_1001_7'], 'c_1100_5' : d['c_0011_11'], 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0110_11']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : d['c_1001_7'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_2']), 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0011_9'], 'c_1010_3' : d['c_0011_6'], 'c_1010_2' : d['c_0011_6'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_1001_1'], 'c_1010_8' : d['c_1001_1'], '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'], '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' : d['c_0011_9'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_11'], '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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0101_3'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : negation(d['c_0101_3']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_2'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0011_10'], 'c_1100_9' : d['c_1001_7'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : negation(d['c_0011_9']), 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_2']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_6, c_0011_8, c_0011_9, c_0101_1, c_0101_2, c_0101_3, c_0110_11, c_1001_1, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 100399389/1861189*c_1001_7^6 + 66383611/3722378*c_1001_7^5 - 611150227/14889512*c_1001_7^4 - 967276837/14889512*c_1001_7^3 - 236039455/7444756*c_1001_7^2 + 630876993/14889512*c_1001_7 - 45932303/3722378, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 5943273/676796*c_1001_7^6 + 8296267/676796*c_1001_7^5 - 5691699/676796*c_1001_7^4 + 2321091/169199*c_1001_7^3 - 5122253/338398*c_1001_7^2 + 7726365/676796*c_1001_7 - 977111/338398, c_0011_6 - 1, c_0011_8 + 4124982/169199*c_1001_7^6 - 5650881/169199*c_1001_7^5 + 3143100/169199*c_1001_7^4 - 6150311/169199*c_1001_7^3 + 6787542/169199*c_1001_7^2 - 4335651/169199*c_1001_7 + 880785/169199, c_0011_9 - 1835348/169199*c_1001_7^6 + 3112467/338398*c_1001_7^5 - 691228/169199*c_1001_7^4 + 5078177/338398*c_1001_7^3 - 3681449/338398*c_1001_7^2 + 2103825/338398*c_1001_7 + 19673/169199, c_0101_1 + 4049317/676796*c_1001_7^6 - 4568297/676796*c_1001_7^5 + 2487171/676796*c_1001_7^4 - 2779049/338398*c_1001_7^3 + 1251128/169199*c_1001_7^2 - 3370775/676796*c_1001_7 + 359045/338398, c_0101_2 + 11434221/676796*c_1001_7^6 - 17575123/676796*c_1001_7^5 + 11414647/676796*c_1001_7^4 - 4452429/169199*c_1001_7^3 + 10498187/338398*c_1001_7^2 - 14229085/676796*c_1001_7 + 1868999/338398, c_0101_3 - 11434221/676796*c_1001_7^6 + 17575123/676796*c_1001_7^5 - 11414647/676796*c_1001_7^4 + 4452429/169199*c_1001_7^3 - 10498187/338398*c_1001_7^2 + 14229085/676796*c_1001_7 - 1530601/338398, c_0110_11 - 2190659/338398*c_1001_7^6 + 1614751/338398*c_1001_7^5 - 65703/338398*c_1001_7^4 + 1196029/169199*c_1001_7^3 - 763141/169199*c_1001_7^2 + 580941/338398*c_1001_7 + 279816/169199, c_1001_1 + 4049317/676796*c_1001_7^6 - 4568297/676796*c_1001_7^5 + 2487171/676796*c_1001_7^4 - 2779049/338398*c_1001_7^3 + 1251128/169199*c_1001_7^2 - 3370775/676796*c_1001_7 + 20647/338398, c_1001_7^7 - 63/37*c_1001_7^6 + 49/37*c_1001_7^5 - 68/37*c_1001_7^4 + 80/37*c_1001_7^3 - 63/37*c_1001_7^2 + 24/37*c_1001_7 - 4/37 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.250 seconds, Total memory usage: 32.09MB