Magma V2.19-8 Tue Aug 20 2013 23:39:32 on localhost [Seed = 829904255] Type ? for help. Type -D to quit. Loading file "K14a12187__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K14a12187 geometric_solution 7.57798322 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 1 2 3 0132 2310 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 -1 1 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 0.285836138472 0.538647625330 0 3 2 0 0132 2103 2103 3201 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 0 1 -1 0 0 1 -1 17 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.892513733710 0.673165402418 1 4 5 0 2103 0132 0132 0132 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 1 0 -1 0 0 0 0 0 -1 0 1 16 0 -16 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065629999657 1.095041264040 4 1 0 6 0132 2103 0132 0132 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 1 -1 0 0 0 0 17 -17 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.065629999657 1.095041264040 3 2 6 5 0132 0132 0213 3120 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 -1 0 1 0 0 0 0 -17 0 0 17 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.777959809091 1.118812762163 4 6 7 2 3120 2031 0132 0132 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 0 0 0 -17 1 0 16 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779793861185 0.556393638709 5 4 3 7 1302 0213 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.779793861185 0.556393638709 6 8 8 5 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906332751405 0.226928429679 7 7 9 9 2310 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.533090845714 0.737242471414 8 10 10 8 3201 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.445953804682 0.114687117217 9 9 10 10 2310 0132 1230 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2.768239909306 0.152950315573 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0101_7'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_2'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_0101_7'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], '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' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : 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' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_10']), 'c_1100_5' : d['c_0011_7'], 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : d['c_0011_7'], 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0101_7']), 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : negation(d['c_0011_5']), 'c_1010_4' : negation(d['c_0011_5']), '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' : negation(d['c_0011_0']), 'c_1010_9' : d['c_0101_7'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(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' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_7']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_2']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_2'], 'c_0011_2' : d['c_0011_2'], 'c_0110_10' : negation(d['c_0101_7']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_5']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_7'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : negation(d['c_0101_7']), 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_5']), 'c_0110_2' : d['c_0011_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_1'], 'c_0110_7' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_5, c_0011_7, c_0101_1, c_0101_10, c_0101_5, c_0101_7, c_0101_8, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t + 4710811980359/24261090575*c_1001_0^25 + 1163936177104/24261090575*c_1001_0^24 - 27018644989517/24261090575*c_1001_0^23 - 8633067726/210966005*c_1001_0^22 + 88545898061971/24261090575*c_1001_0^21 - 242011203829/782615825*c_1001_0^20 - 187832056814593/24261090575*c_1001_0^19 + 40085036289984/24261090575*c_1001_0^18 + 291585341831642/24261090575*c_1001_0^17 - 822589477807/210966005*c_1001_0^16 - 350943968497646/24261090575*c_1001_0^15 + 148226369545494/24261090575*c_1001_0^14 + 15524709166122/1054830025*c_1001_0^13 - 173655766623242/24261090575*c_1001_0^12 - 332867421511938/24261090575*c_1001_0^11 + 7280796891918/1054830025*c_1001_0^10 + 53766222178974/4852218115*c_1001_0^9 - 148520367738789/24261090575*c_1001_0^8 - 181558098173823/24261090575*c_1001_0^7 + 110209877080413/24261090575*c_1001_0^6 + 17288877145871/4852218115*c_1001_0^5 - 65324428118911/24261090575*c_1001_0^4 - 1725480239768/970443623*c_1001_0^3 + 23210009705447/24261090575*c_1001_0^2 + 153908285043/210966005*c_1001_0 - 10928529710837/24261090575, c_0011_0 - 1, c_0011_10 - c_1001_0^22 + 5*c_1001_0^20 - 14*c_1001_0^18 + 25*c_1001_0^16 - 32*c_1001_0^14 + 32*c_1001_0^12 - 28*c_1001_0^10 + 23*c_1001_0^8 - 15*c_1001_0^6 + 7*c_1001_0^4 - 2*c_1001_0^2 + 1, c_0011_2 - c_1001_0^2 + 1, c_0011_5 - c_1001_0^4 + c_1001_0^2 - 1, c_0011_7 + c_1001_0^2 - 1, c_0101_1 - c_1001_0, c_0101_10 - c_1001_0^19 + 4*c_1001_0^17 - 10*c_1001_0^15 + 16*c_1001_0^13 - 19*c_1001_0^11 + 18*c_1001_0^9 - 14*c_1001_0^7 + 10*c_1001_0^5 - 5*c_1001_0^3 + 2*c_1001_0, c_0101_5 - c_1001_0^6 + c_1001_0^4 - 2*c_1001_0^2 + 1, c_0101_7 + c_1001_0^9 - 2*c_1001_0^7 + 3*c_1001_0^5 - 2*c_1001_0^3 + c_1001_0, c_0101_8 + c_1001_0^12 - 3*c_1001_0^10 + 5*c_1001_0^8 - 4*c_1001_0^6 + 2*c_1001_0^4 - c_1001_0^2 + 1, c_1001_0^26 - c_1001_0^25 - 5*c_1001_0^24 + 6*c_1001_0^23 + 14*c_1001_0^22 - 19*c_1001_0^21 - 25*c_1001_0^20 + 40*c_1001_0^19 + 31*c_1001_0^18 - 61*c_1001_0^17 - 29*c_1001_0^16 + 74*c_1001_0^15 + 22*c_1001_0^14 - 76*c_1001_0^13 - 16*c_1001_0^12 + 70*c_1001_0^11 + 8*c_1001_0^10 - 56*c_1001_0^9 + 36*c_1001_0^7 - 4*c_1001_0^6 - 19*c_1001_0^5 + 3*c_1001_0^4 + 8*c_1001_0^3 - c_1001_0^2 - 3*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.210 Total time: 0.420 seconds, Total memory usage: 32.09MB