Magma V2.19-8 Tue Aug 20 2013 17:59:11 on localhost [Seed = 1157951949] Type ? for help. Type -D to quit. Loading file "10^2_30__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_30 geometric_solution 12.64232489 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 14 1 2 3 4 0132 0132 0132 0132 0 1 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 0 -1 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 1.136469090337 0.976294475658 0 5 7 6 0132 0132 0132 0132 0 1 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 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 0.684541298505 0.461346361951 7 0 6 8 0132 0132 0132 0132 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 -1 0 0 1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508307239572 0.574684176765 9 10 8 0 0132 0132 0132 0132 0 1 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 -1 0 1 0 0 -1 1 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.838382674246 0.763428189426 11 6 0 12 0132 0132 0132 0132 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 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 0.561710372672 0.329249697047 8 1 10 11 1023 0132 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 0.576281756536 0.882336598280 9 4 1 2 2103 0132 0132 0132 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.674973586008 0.776671691696 2 13 12 1 0132 0132 0132 0132 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 0 0 0 0 1 0 0 -1 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.359284052660 1.038591808843 13 5 2 3 0132 1023 0132 0132 0 1 0 0 0 0 0 0 0 0 1 -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 0 -1 1 3 0 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.508307239572 0.574684176765 3 10 6 11 0132 0321 2103 2103 0 1 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 1 -1 0 0 0 0 0 0 2 0 -2 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.601195997116 0.395112883901 12 3 5 9 1023 0132 1023 0321 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 1 0 -1 -1 0 0 1 -1 3 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.695842907964 1.187560666608 4 5 13 9 0132 2310 3120 2103 0 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 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.615401669647 1.166241616681 13 10 4 7 3120 1023 0132 0132 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 0 1 -1 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 0.922177492484 0.516553881495 8 7 11 12 0132 0132 3120 3120 0 1 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 0 0 0 0 0 0 0 0 -3 1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.054611941599 0.759969182929 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_1001_1']), 'c_1001_10' : d['c_0101_5'], 'c_1001_13' : d['c_1001_1'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_5'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_13' : negation(d['c_0011_10']), 'c_1010_12' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0110_5']), 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : 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' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : negation(d['1']), 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0101_1']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_13']), 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_0101_11']), 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0110_5'], 'c_1010_8' : d['c_0110_5'], 'c_1100_8' : d['c_1100_0'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : negation(d['1']), 's_3_8' : d['1'], 'c_1100_12' : d['c_1100_0'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0101_13' : d['c_0101_13'], 'c_0011_6' : d['c_0011_11'], '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_0101_1'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_13' : d['c_0101_7'], 'c_0110_12' : d['c_0101_7'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_11'], 'c_0011_7' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_13'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0101_7'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_13'], 'c_0110_8' : d['c_0101_13'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 15 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_13, c_0101_5, c_0101_7, c_0110_5, c_1001_1, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 14995911/238832*c_1100_0^6 + 431515/5192*c_1100_0^5 - 44762951/119416*c_1100_0^4 - 24150605/238832*c_1100_0^3 + 40944073/119416*c_1100_0^2 + 10692541/238832*c_1100_0 - 6221475/59708, c_0011_0 - 1, c_0011_10 + 5439/2024*c_1100_0^6 + 791/88*c_1100_0^5 + 167/253*c_1100_0^4 - 14991/2024*c_1100_0^3 - 315/2024*c_1100_0^2 + 5811/2024*c_1100_0 - 1527/2024, c_0011_11 + 43435/4048*c_1100_0^6 + 4755/176*c_1100_0^5 - 6460/253*c_1100_0^4 - 117387/4048*c_1100_0^3 + 77241/4048*c_1100_0^2 + 50063/4048*c_1100_0 - 35107/4048, c_0101_0 - 1, c_0101_1 + c_1100_0, c_0101_10 + 37905/2024*c_1100_0^6 + 4233/88*c_1100_0^5 - 10523/253*c_1100_0^4 - 102153/2024*c_1100_0^3 + 66019/2024*c_1100_0^2 + 44061/2024*c_1100_0 - 27881/2024, c_0101_11 + 4410/253*c_1100_0^6 + 504/11*c_1100_0^5 - 8900/253*c_1100_0^4 - 11854/253*c_1100_0^3 + 6685/253*c_1100_0^2 + 5033/253*c_1100_0 - 2845/253, c_0101_13 - 245/253*c_1100_0^6 - 28/11*c_1100_0^5 + 888/253*c_1100_0^4 + 1783/253*c_1100_0^3 - 526/253*c_1100_0^2 - 631/253*c_1100_0 + 144/253, c_0101_5 + 32375/4048*c_1100_0^6 + 3711/176*c_1100_0^5 - 4063/253*c_1100_0^4 - 86919/4048*c_1100_0^3 + 54797/4048*c_1100_0^2 + 38059/4048*c_1100_0 - 24703/4048, c_0101_7 - 1008/253*c_1100_0^6 - 124/11*c_1100_0^5 + 1456/253*c_1100_0^4 + 2789/253*c_1100_0^3 - 1528/253*c_1100_0^2 - 1201/253*c_1100_0 + 831/253, c_0110_5 + 2261/1012*c_1100_0^6 + 199/44*c_1100_0^5 - 2215/253*c_1100_0^4 - 5337/1012*c_1100_0^3 + 7377/1012*c_1100_0^2 + 2021/1012*c_1100_0 - 3071/1012, c_1001_1 + 6741/506*c_1100_0^6 + 733/22*c_1100_0^5 - 8031/253*c_1100_0^4 - 17339/506*c_1100_0^3 + 12369/506*c_1100_0^2 + 7415/506*c_1100_0 - 5415/506, c_1001_2 - 6307/1012*c_1100_0^6 - 701/44*c_1100_0^5 + 3409/253*c_1100_0^4 + 15207/1012*c_1100_0^3 - 10671/1012*c_1100_0^2 - 7555/1012*c_1100_0 + 4625/1012, c_1100_0^7 + 13/7*c_1100_0^6 - 4*c_1100_0^5 - c_1100_0^4 + 25/7*c_1100_0^3 - 1/7*c_1100_0^2 - 11/7*c_1100_0 + 4/7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB