Magma V2.19-8 Wed Aug 21 2013 01:01:10 on localhost [Seed = 1932880012] Type ? for help. Type -D to quit. Loading file "L14a20511__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20511 geometric_solution 10.57777119 oriented_manifold CS_known -0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 -1 0 1 1 0 -1 0 0 0 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415024366413 0.656222142487 0 4 4 5 0132 1302 3201 0132 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 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 1.372995355170 0.586127191649 3 0 7 6 0321 0132 0132 0132 1 0 1 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 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 0.914934470047 0.657478252494 2 8 5 0 0321 0132 3012 0132 1 0 1 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 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.488614326815 1.438773357867 1 5 0 1 2310 3012 0132 2031 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 0 0 0 0 0 0 0 0 0 0 0.478226393077 0.588633101592 4 3 1 7 1230 1230 0132 2310 0 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 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 0.756932548039 0.849122373434 9 10 2 11 0132 0132 0132 0132 1 0 1 1 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 1 -1 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 1.143655982241 1.982245550447 5 8 9 2 3201 0321 3120 0132 1 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 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.533243944838 0.217047610854 9 3 11 7 3012 0132 2103 0321 1 0 0 1 0 0 0 0 1 0 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 -1 0 0 1 -1 0 0 1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.179605966658 1.305248235541 6 11 7 8 0132 1302 3120 1230 0 0 1 1 0 0 1 -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 1 -2 1 -1 0 0 1 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039023821236 0.763122981944 12 6 12 11 0132 0132 2310 2031 1 1 1 1 0 0 0 0 0 0 -1 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 0 0 1 -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 0.257942157060 0.650811406898 8 10 6 9 2103 1302 0132 2031 1 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 0 0 0 0 0 0 0 0 1 1 -2 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 0.781630290274 0.378490028626 10 10 12 12 0132 3201 2031 1302 1 1 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 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 0.501687398924 0.090981429584 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_11'], 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_5']), 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_0011_11'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_5']), 'c_1001_9' : d['c_0110_11'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0101_12']), 'c_1010_11' : d['c_0011_10'], 'c_1010_10' : 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_0101_11'], 'c_0101_10' : d['c_0101_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_1100_8' : negation(d['c_0110_11']), 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : negation(d['c_1001_5']), 'c_1100_3' : negation(d['c_1001_5']), 'c_1100_2' : negation(d['c_0101_11']), 's_3_11' : d['1'], 'c_1100_9' : d['c_0011_4'], 'c_1100_11' : negation(d['c_0101_11']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : d['c_0011_11'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_5']), 'c_1010_9' : d['c_0101_11'], 'c_1010_8' : negation(d['c_0011_5']), '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_0101_12'], '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_10'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_4']), 'c_0011_6' : negation(d['c_0011_10']), '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_0110_11'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : d['c_0101_10'], 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_2']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10'], '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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0110_11, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 24 Groebner basis: [ t - 239765119412054333/2771872712619318*c_1001_5^23 - 21791972381714543/461978785436553*c_1001_5^22 + 1421643828328443728/1385936356309659*c_1001_5^21 + 669050110275841685/2771872712619318*c_1001_5^20 - 16994092737210444187/2771872712619318*c_1001_5^19 + 112524532211556089/461978785436553*c_1001_5^18 + 32366782443448530206/1385936356309659*c_1001_5^17 - 18750769503614171077/2771872712619318*c_1001_5^16 - 170302816122803904487/2771872712619318*c_1001_5^15 + 6397323117517631105/197990908044237*c_1001_5^14 + 105611645403598520089/923957570873106*c_1001_5^13 - 243967515281654076823/2771872712619318*c_1001_5^12 - 18648388233221081911/125994214209969*c_1001_5^11 + 438074190695437077751/2771872712619318*c_1001_5^10 + 341548683927608642819/2771872712619318*c_1001_5^9 - 266949685370466996361/1385936356309659*c_1001_5^8 - 21652449617495632312/461978785436553*c_1001_5^7 + 428980328612177879659/2771872712619318*c_1001_5^6 - 18824625895683612083/923957570873106*c_1001_5^5 - 101022793625901858971/1385936356309659*c_1001_5^4 + 92691002188646494121/2771872712619318*c_1001_5^3 + 34980565702374705725/2771872712619318*c_1001_5^2 - 6056048798881421611/461978785436553*c_1001_5 + 186672101826282715/64462156107426, c_0011_0 - 1, c_0011_10 - c_1001_5^11 - c_1001_5^10 + 6*c_1001_5^9 + 4*c_1001_5^8 - 18*c_1001_5^7 - 6*c_1001_5^6 + 31*c_1001_5^5 + c_1001_5^4 - 30*c_1001_5^3 + 6*c_1001_5^2 + 13*c_1001_5 - 5, c_0011_11 + c_1001_5^2 - 1, c_0011_3 + c_1001_5^4 + c_1001_5^3 - 2*c_1001_5^2 - c_1001_5 + 2, c_0011_4 - c_1001_5 - 1, c_0011_5 - c_1001_5^2 - c_1001_5 + 1, c_0101_1 - 1, c_0101_10 - c_1001_5^22 - 2*c_1001_5^21 + 10*c_1001_5^20 + 18*c_1001_5^19 - 55*c_1001_5^18 - 80*c_1001_5^17 + 205*c_1001_5^16 + 218*c_1001_5^15 - 554*c_1001_5^14 - 382*c_1001_5^13 + 1104*c_1001_5^12 + 400*c_1001_5^11 - 1612*c_1001_5^10 - 138*c_1001_5^9 + 1679*c_1001_5^8 - 250*c_1001_5^7 - 1174*c_1001_5^6 + 422*c_1001_5^5 + 480*c_1001_5^4 - 280*c_1001_5^3 - 68*c_1001_5^2 + 76*c_1001_5 - 13, c_0101_11 - c_1001_5^6 - c_1001_5^5 + 3*c_1001_5^4 + 2*c_1001_5^3 - 5*c_1001_5^2 - 2*c_1001_5 + 3, c_0101_12 - c_1001_5^13 - c_1001_5^12 + 7*c_1001_5^11 + 5*c_1001_5^10 - 25*c_1001_5^9 - 11*c_1001_5^8 + 54*c_1001_5^7 + 10*c_1001_5^6 - 73*c_1001_5^5 + 3*c_1001_5^4 + 58*c_1001_5^3 - 14*c_1001_5^2 - 21*c_1001_5 + 9, c_0101_2 - c_1001_5^3 - c_1001_5^2 + c_1001_5 + 1, c_0110_11 - c_1001_5^4 - c_1001_5^3 + 2*c_1001_5^2 + c_1001_5 - 2, c_1001_5^24 + 2*c_1001_5^23 - 11*c_1001_5^22 - 20*c_1001_5^21 + 66*c_1001_5^20 + 100*c_1001_5^19 - 269*c_1001_5^18 - 314*c_1001_5^17 + 804*c_1001_5^16 + 662*c_1001_5^15 - 1810*c_1001_5^14 - 922*c_1001_5^13 + 3084*c_1001_5^12 + 716*c_1001_5^11 - 3932*c_1001_5^10 + 50*c_1001_5^9 + 3635*c_1001_5^8 - 866*c_1001_5^7 - 2278*c_1001_5^6 + 1070*c_1001_5^5 + 816*c_1001_5^4 - 648*c_1001_5^3 - 68*c_1001_5^2 + 172*c_1001_5 - 43 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.220 Total time: 0.430 seconds, Total memory usage: 32.09MB