Magma V2.19-8 Wed Aug 21 2013 00:41:21 on localhost [Seed = 1064905205] Type ? for help. Type -D to quit. Loading file "K14n3164__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n3164 geometric_solution 12.00150500 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 2 3 0132 0132 1023 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 -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 0.663590409389 0.931723391092 0 4 6 5 0132 0132 0132 0132 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 -2 2 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 0.559414961755 1.363734118010 5 0 0 6 3120 0132 1023 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.663590409389 0.931723391092 7 5 0 8 0132 1023 0132 0132 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 -1 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 0.749206393327 0.876519718931 4 1 4 5 2031 0132 1302 2031 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 1 0 1 -2 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366090098674 0.346560282506 3 4 1 2 1023 1302 0132 3120 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 2 -2 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 0.742527324370 0.627663355859 7 9 2 1 3120 0132 2031 0132 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 -2 0 2 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 0.436516198360 0.659237117882 3 9 10 6 0132 1230 0132 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 -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 0.330382391803 0.520695068689 11 9 3 10 0132 2310 0132 0132 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 1 0 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.712488523611 1.350218744136 12 6 7 8 0132 0132 3012 3201 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 2 0 -2 -1 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 0.532618787950 0.462283700731 11 12 8 7 3120 3201 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516771993261 0.325149964225 8 12 12 10 0132 2103 2031 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 -1 0 1 -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 0.222681868089 0.586240001661 9 11 10 11 0132 2103 2310 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820041630263 0.618461331276 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : negation(d['c_0101_12']), 'c_1001_12' : d['c_0011_11'], 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : d['c_0110_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : negation(d['c_0110_2']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : d['c_0011_3'], 'c_1001_8' : d['c_0110_2'], 'c_1010_12' : d['c_0011_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0011_11']), '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'], 'c_0101_12' : d['c_0101_12'], '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_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_2']), 'c_1100_4' : negation(d['c_0011_0']), 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : negation(d['c_0101_6']), 'c_1100_3' : negation(d['c_0101_6']), 'c_1100_2' : d['c_0101_6'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0101_6']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_12']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0110_2'], 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0110_2']), 'c_1010_8' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0101_6']), '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' : 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_12']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_12'], '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' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0011_12']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_0']), '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_0101_0'], 'c_0101_9' : negation(d['c_0011_12']), 'c_0101_8' : d['c_0101_7'], '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_0011_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_11'], 'c_0110_3' : d['c_0101_7'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0110_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 's_2_9' : d['1']})} 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_0101_0, c_0101_1, c_0101_12, c_0101_2, c_0101_6, c_0101_7, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 240727/9*c_0110_4^20 - 20648*c_0110_4^19 + 557336/3*c_0110_4^18 + 37448/3*c_0110_4^17 - 6393590/9*c_0110_4^16 + 2799589/9*c_0110_4^15 + 13881529/9*c_0110_4^14 - 4079227/3*c_0110_4^13 - 17198558/9*c_0110_4^12 + 24008167/9*c_0110_4^11 + 3316556/3*c_0110_4^10 - 8641553/3*c_0110_4^9 + 345718/9*c_0110_4^8 + 15680876/9*c_0110_4^7 - 2913857/9*c_0110_4^6 - 5553766/9*c_0110_4^5 + 190781/3*c_0110_4^4 + 1700074/9*c_0110_4^3 - 55376/3*c_0110_4^2 - 36424/9*c_0110_4 - 195698/9, c_0011_0 - 1, c_0011_10 - c_0110_4^9 - c_0110_4^8 + 3*c_0110_4^7 + c_0110_4^6 - 6*c_0110_4^5 + 5*c_0110_4^3 - c_0110_4^2 - 2*c_0110_4, c_0011_11 - c_0110_4^16 - 2*c_0110_4^15 + 4*c_0110_4^14 + 6*c_0110_4^13 - 14*c_0110_4^12 - 10*c_0110_4^11 + 28*c_0110_4^10 + 4*c_0110_4^9 - 36*c_0110_4^8 + 8*c_0110_4^7 + 26*c_0110_4^6 - 14*c_0110_4^5 - 10*c_0110_4^4 + 8*c_0110_4^3 + 2*c_0110_4^2 - 2*c_0110_4 - 1, c_0011_12 - c_0110_4^18 - 2*c_0110_4^17 + 5*c_0110_4^16 + 8*c_0110_4^15 - 19*c_0110_4^14 - 18*c_0110_4^13 + 45*c_0110_4^12 + 20*c_0110_4^11 - 72*c_0110_4^10 - 8*c_0110_4^9 + 74*c_0110_4^8 - 8*c_0110_4^7 - 49*c_0110_4^6 + 10*c_0110_4^5 + 19*c_0110_4^4 - 4*c_0110_4^3 - 4*c_0110_4^2, c_0011_3 + c_0110_4^2 - 1, c_0101_0 - c_0110_4^20 - 3*c_0110_4^19 + 4*c_0110_4^18 + 15*c_0110_4^17 - 16*c_0110_4^16 - 44*c_0110_4^15 + 48*c_0110_4^14 + 80*c_0110_4^13 - 102*c_0110_4^12 - 91*c_0110_4^11 + 146*c_0110_4^10 + 61*c_0110_4^9 - 135*c_0110_4^8 - 20*c_0110_4^7 + 78*c_0110_4^6 + 4*c_0110_4^5 - 26*c_0110_4^4 - 3*c_0110_4^3 + 4*c_0110_4^2 + c_0110_4 + 1, c_0101_1 + c_0110_4^20 + 2*c_0110_4^19 - 6*c_0110_4^18 - 10*c_0110_4^17 + 23*c_0110_4^16 + 24*c_0110_4^15 - 60*c_0110_4^14 - 32*c_0110_4^13 + 103*c_0110_4^12 + 18*c_0110_4^11 - 118*c_0110_4^10 + 4*c_0110_4^9 + 87*c_0110_4^8 - 10*c_0110_4^7 - 42*c_0110_4^6 + 13*c_0110_4^4 + 4*c_0110_4^3 - 2*c_0110_4^2 - 2*c_0110_4 - 1, c_0101_12 - c_0110_4^7 - c_0110_4^6 + 2*c_0110_4^5 - 3*c_0110_4^3 + c_0110_4^2 + c_0110_4 - 1, c_0101_2 + c_0110_4^20 + 3*c_0110_4^19 - 4*c_0110_4^18 - 15*c_0110_4^17 + 16*c_0110_4^16 + 44*c_0110_4^15 - 48*c_0110_4^14 - 80*c_0110_4^13 + 102*c_0110_4^12 + 91*c_0110_4^11 - 146*c_0110_4^10 - 61*c_0110_4^9 + 135*c_0110_4^8 + 20*c_0110_4^7 - 78*c_0110_4^6 - 4*c_0110_4^5 + 26*c_0110_4^4 + 3*c_0110_4^3 - 4*c_0110_4^2 - c_0110_4 - 1, c_0101_6 + c_0110_4^2 - 1, c_0101_7 - c_0110_4^18 - 2*c_0110_4^17 + 5*c_0110_4^16 + 8*c_0110_4^15 - 19*c_0110_4^14 - 18*c_0110_4^13 + 45*c_0110_4^12 + 20*c_0110_4^11 - 72*c_0110_4^10 - 8*c_0110_4^9 + 74*c_0110_4^8 - 8*c_0110_4^7 - 49*c_0110_4^6 + 10*c_0110_4^5 + 19*c_0110_4^4 - 4*c_0110_4^3 - 4*c_0110_4^2, c_0110_2 - c_0110_4^20 - 2*c_0110_4^19 + 6*c_0110_4^18 + 10*c_0110_4^17 - 23*c_0110_4^16 - 24*c_0110_4^15 + 60*c_0110_4^14 + 32*c_0110_4^13 - 103*c_0110_4^12 - 18*c_0110_4^11 + 118*c_0110_4^10 - 4*c_0110_4^9 - 87*c_0110_4^8 + 10*c_0110_4^7 + 42*c_0110_4^6 - 13*c_0110_4^4 - 4*c_0110_4^3 + 2*c_0110_4^2 + 2*c_0110_4 + 1, c_0110_4^21 + 2*c_0110_4^20 - 6*c_0110_4^19 - 9*c_0110_4^18 + 26*c_0110_4^17 + 21*c_0110_4^16 - 72*c_0110_4^15 - 20*c_0110_4^14 + 134*c_0110_4^13 - 12*c_0110_4^12 - 164*c_0110_4^11 + 57*c_0110_4^10 + 131*c_0110_4^9 - 67*c_0110_4^8 - 68*c_0110_4^7 + 38*c_0110_4^6 + 26*c_0110_4^5 - 10*c_0110_4^4 - 8*c_0110_4^3 + c_0110_4^2 + c_0110_4 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 22.440 Total time: 22.649 seconds, Total memory usage: 121.44MB