Magma V2.19-8 Wed Aug 21 2013 00:57:27 on localhost [Seed = 3499543060] Type ? for help. Type -D to quit. Loading file "L13n4354__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n4354 geometric_solution 11.43782206 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 1 0 1 1 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 -1 0 1 1 0 -1 0 3 1 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.943535437374 1.240681511174 0 0 5 4 0132 1302 0132 0132 0 0 1 1 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 -1 0 1 0 0 -1 0 1 -3 4 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.611641851053 0.510663146319 6 0 8 7 0132 0132 0132 0132 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 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 0.925306819005 0.864268999285 4 6 7 0 0132 3201 3201 0132 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 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 0.545056846410 0.282036925406 3 9 1 5 0132 0132 0132 1302 0 0 0 1 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.755381404313 0.509805357400 10 11 4 1 0132 0132 2031 0132 0 0 1 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 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 0.201684072565 0.697563737074 2 12 3 10 0132 0132 2310 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.221720865475 0.482019878182 3 9 2 8 2310 1302 0132 2310 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 1 -1 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 0.662458880622 1.074528462637 7 12 11 2 3201 2031 1230 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 0 0 0 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 0.123584157606 0.613337461914 12 4 10 7 3201 0132 2031 2031 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.942613268316 1.166428601456 5 6 11 9 0132 2310 1023 1302 1 0 0 1 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 -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 0.201684072565 0.697563737074 12 5 10 8 2310 0132 1023 3012 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 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 1.184939226249 1.399438859566 8 6 11 9 1302 0132 3201 2310 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 0 0 0 0 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 0 0 0 0 0 0 0.824769294020 0.448633377796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_1'], 'c_1001_10' : d['c_0101_11'], 'c_1001_12' : negation(d['c_0101_11']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : d['c_0011_7'], 'c_1001_7' : d['c_0110_9'], 'c_1001_6' : negation(d['c_0110_9']), 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0110_9'], 'c_1001_3' : negation(d['c_0101_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_5']), 'c_1001_8' : d['c_0101_9'], 'c_1010_12' : negation(d['c_0110_9']), 'c_1010_11' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_2']), 's_0_10' : d['1'], 's_0_11' : 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_1'], 's_2_0' : 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' : negation(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_1100_9' : d['c_0101_2'], 'c_1100_8' : d['c_0011_8'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0101_5'], 'c_1100_7' : d['c_0011_8'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : negation(d['c_0011_7']), 'c_1100_3' : negation(d['c_0011_7']), 'c_1100_2' : d['c_0011_8'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : negation(d['c_0101_11']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0101_5']), 'c_1010_3' : d['c_0110_9'], 'c_1010_2' : d['c_0110_9'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0011_7'], 'c_1010_8' : negation(d['c_0011_0']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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_10']), '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_8'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_0'], '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_0011_8'], 'c_0110_10' : d['c_0101_5'], 'c_0110_12' : negation(d['c_0101_9']), 'c_0101_12' : negation(d['c_0011_8']), 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], '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_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_3'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : d['c_0101_2'], '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_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_3'], 'c_0110_7' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0101_2']})} 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_7, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_3, c_0101_5, c_0101_6, c_0101_9, c_0110_9 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 14 Groebner basis: [ t + 125291/100*c_0110_9^13 + 487841/100*c_0110_9^12 + 302237/20*c_0110_9^11 + 1569609/50*c_0110_9^10 + 2658723/50*c_0110_9^9 + 7333089/100*c_0110_9^8 + 3931443/50*c_0110_9^7 + 334377/5*c_0110_9^6 + 806862/25*c_0110_9^5 - 114363/25*c_0110_9^4 - 699091/25*c_0110_9^3 - 1732651/50*c_0110_9^2 - 208511/10*c_0110_9 - 312197/50, c_0011_0 - 1, c_0011_10 + 2457/9754*c_0110_9^13 + 8061/9754*c_0110_9^12 + 11607/4877*c_0110_9^11 + 45009/9754*c_0110_9^10 + 34227/4877*c_0110_9^9 + 45776/4877*c_0110_9^8 + 40941/4877*c_0110_9^7 + 32830/4877*c_0110_9^6 + 8555/4877*c_0110_9^5 - 10984/4877*c_0110_9^4 - 14646/4877*c_0110_9^3 - 19642/4877*c_0110_9^2 - 4643/4877*c_0110_9 - 3433/4877, c_0011_7 + 653/9754*c_0110_9^13 + 1360/4877*c_0110_9^12 + 3323/4877*c_0110_9^11 + 6383/4877*c_0110_9^10 + 16889/9754*c_0110_9^9 + 20495/9754*c_0110_9^8 + 8237/4877*c_0110_9^7 + 4543/4877*c_0110_9^6 - 142/4877*c_0110_9^5 - 3477/4877*c_0110_9^4 - 2243/4877*c_0110_9^3 - 1830/4877*c_0110_9^2 - 1099/4877*c_0110_9 - 3864/4877, c_0011_8 - 1542/4877*c_0110_9^13 - 3219/4877*c_0110_9^12 - 10085/4877*c_0110_9^11 - 13670/4877*c_0110_9^10 - 21524/4877*c_0110_9^9 - 21413/4877*c_0110_9^8 - 14838/4877*c_0110_9^7 - 9028/4877*c_0110_9^6 + 7960/4877*c_0110_9^5 + 6010/4877*c_0110_9^4 + 10541/4877*c_0110_9^3 + 5730/4877*c_0110_9^2 + 403/4877*c_0110_9 + 1945/4877, c_0101_0 - 1, c_0101_1 + 1013/9754*c_0110_9^13 + 4705/9754*c_0110_9^12 + 15889/9754*c_0110_9^11 + 17505/4877*c_0110_9^10 + 31708/4877*c_0110_9^9 + 89825/9754*c_0110_9^8 + 52287/4877*c_0110_9^7 + 47744/4877*c_0110_9^6 + 28855/4877*c_0110_9^5 + 5936/4877*c_0110_9^4 - 13607/4877*c_0110_9^3 - 19464/4877*c_0110_9^2 - 14999/4877*c_0110_9 - 8190/4877, c_0101_11 - c_0110_9^2 - 1, c_0101_2 - 969/9754*c_0110_9^13 - 741/4877*c_0110_9^12 - 5493/9754*c_0110_9^11 - 6389/9754*c_0110_9^10 - 11723/9754*c_0110_9^9 - 4911/4877*c_0110_9^8 - 3552/4877*c_0110_9^7 - 901/4877*c_0110_9^6 + 3355/4877*c_0110_9^5 + 3397/4877*c_0110_9^4 + 4740/4877*c_0110_9^3 - 1549/4877*c_0110_9^2 - 789/4877*c_0110_9 - 2743/4877, c_0101_3 - 6415913/47570258*c_0110_9^13 - 10479263/23785129*c_0110_9^12 - 54764043/47570258*c_0110_9^11 - 104839611/47570258*c_0110_9^10 - 142851659/47570258*c_0110_9^9 - 92439778/23785129*c_0110_9^8 - 67861119/23785129*c_0110_9^7 - 40118620/23785129*c_0110_9^6 + 9341818/23785129*c_0110_9^5 + 50708768/23785129*c_0110_9^4 + 34332149/23785129*c_0110_9^3 + 36009799/23785129*c_0110_9^2 - 680943/23785129*c_0110_9 - 4503182/23785129, c_0101_5 + 1251690/23785129*c_0110_9^13 + 7039773/47570258*c_0110_9^12 + 13560797/47570258*c_0110_9^11 + 8747155/23785129*c_0110_9^10 + 3656135/47570258*c_0110_9^9 - 6777438/23785129*c_0110_9^8 - 29253755/23785129*c_0110_9^7 - 42421851/23785129*c_0110_9^6 - 45603274/23785129*c_0110_9^5 - 32136401/23785129*c_0110_9^4 + 520508/23785129*c_0110_9^3 + 13034735/23785129*c_0110_9^2 + 18403152/23785129*c_0110_9 + 10070058/23785129, c_0101_6 + 345/4877*c_0110_9^13 - 333/4877*c_0110_9^12 - 573/9754*c_0110_9^11 - 9387/9754*c_0110_9^10 - 8449/4877*c_0110_9^9 - 30497/9754*c_0110_9^8 - 22052/4877*c_0110_9^7 - 17583/4877*c_0110_9^6 - 17171/4877*c_0110_9^5 - 1060/4877*c_0110_9^4 + 7481/4877*c_0110_9^3 + 7656/4877*c_0110_9^2 + 9123/4877*c_0110_9 - 976/4877, c_0101_9 + 969/9754*c_0110_9^13 + 741/4877*c_0110_9^12 + 5493/9754*c_0110_9^11 + 6389/9754*c_0110_9^10 + 11723/9754*c_0110_9^9 + 4911/4877*c_0110_9^8 + 3552/4877*c_0110_9^7 + 901/4877*c_0110_9^6 - 3355/4877*c_0110_9^5 - 3397/4877*c_0110_9^4 - 4740/4877*c_0110_9^3 + 1549/4877*c_0110_9^2 + 789/4877*c_0110_9 + 2743/4877, c_0110_9^14 + 4*c_0110_9^13 + 13*c_0110_9^12 + 28*c_0110_9^11 + 50*c_0110_9^10 + 72*c_0110_9^9 + 83*c_0110_9^8 + 78*c_0110_9^7 + 48*c_0110_9^6 + 12*c_0110_9^5 - 20*c_0110_9^4 - 34*c_0110_9^3 - 26*c_0110_9^2 - 14*c_0110_9 - 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.540 Total time: 3.750 seconds, Total memory usage: 32.09MB