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Loading file "K14n24491__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K14n24491 geometric_solution 12.53148692 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 1 0 -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 -9 -1 10 -9 0 0 9 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.785183243946 0.887529514110 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 -1 0 1 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 9 0 -9 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505118734735 0.426314433481 3 0 6 8 2310 0132 3012 0132 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 9 -9 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 0.605238321885 0.753830265664 9 10 2 0 0132 0132 3201 0132 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 1 0 -1 0 -10 9 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.605238321885 0.753830265664 7 9 0 5 2310 3120 0132 2310 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 10 -10 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505118734735 0.426314433481 4 1 11 12 3201 0132 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 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297160986941 1.718633109672 9 2 1 12 2103 1230 0132 2103 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 1 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.545860717417 0.832143153400 10 8 4 1 2103 2103 3201 0132 0 0 0 0 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 -9 0 0 9 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.748268013128 0.835670128980 10 7 2 12 3201 2103 0132 3201 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 -1 0 0 1 0 0 0 0 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574220413847 0.764754361009 3 4 6 11 0132 3120 2103 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 1 -1 -1 0 1 0 0 0 0 0 10 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.448862777803 0.840186977011 11 3 7 8 0132 0132 2103 2310 0 0 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 0 0 0 0 0 9 -9 -1 0 0 1 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574220413847 0.764754361009 10 12 9 5 0132 2031 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 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 0.165026602622 0.777581165488 11 8 5 6 1302 2310 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.165026602622 0.777581165488 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0110_6'], 'c_1001_11' : negation(d['c_0011_4']), 'c_1001_10' : d['c_0011_7'], 'c_1001_12' : d['c_1001_1'], 'c_1001_5' : d['c_0011_12'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : d['c_0011_8'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : negation(d['c_0101_2']), 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : negation(d['c_0101_2']), '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'], 's_2_9' : d['1'], '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' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_12']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_6']), 'c_1100_4' : d['c_0011_0'], 'c_1100_7' : negation(d['c_0011_4']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_12']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0110_6']), 'c_1100_11' : negation(d['c_0110_6']), 'c_1100_10' : d['c_0011_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_0011_12'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : negation(d['c_1001_1']), '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' : negation(d['c_0110_6']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_6'], '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_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_12' : d['c_0011_4'], 'c_0101_12' : d['c_0011_10'], 'c_0101_7' : d['c_0101_10'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_10'], 'c_0101_4' : negation(d['c_0011_8']), 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_8']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 1329246656/9777999*c_1001_1^7 + 1630600480/3259333*c_1001_1^6 - 956149840/888909*c_1001_1^5 - 42328224/3259333*c_1001_1^4 + 2208230128/1396857*c_1001_1^3 - 6724477120/3259333*c_1001_1^2 + 11337799240/9777999*c_1001_1 - 531751144/1396857, c_0011_0 - 1, c_0011_10 - 8352/6047*c_1001_1^7 + 43164/6047*c_1001_1^6 - 129304/6047*c_1001_1^5 + 185660/6047*c_1001_1^4 - 157468/6047*c_1001_1^3 + 70860/6047*c_1001_1^2 - 959/6047*c_1001_1 - 3583/6047, c_0011_12 - 3880/6047*c_1001_1^7 + 23180/6047*c_1001_1^6 - 75546/6047*c_1001_1^5 + 131452/6047*c_1001_1^4 - 132766/6047*c_1001_1^3 + 79140/6047*c_1001_1^2 - 17932/6047*c_1001_1 - 4995/6047, c_0011_4 - 9360/6047*c_1001_1^7 + 42952/6047*c_1001_1^6 - 124892/6047*c_1001_1^5 + 156772/6047*c_1001_1^4 - 143110/6047*c_1001_1^3 + 54390/6047*c_1001_1^2 - 7226/6047*c_1001_1 - 7873/6047, c_0011_6 - 7196/6047*c_1001_1^7 + 38128/6047*c_1001_1^6 - 121022/6047*c_1001_1^5 + 191530/6047*c_1001_1^4 - 198842/6047*c_1001_1^3 + 103138/6047*c_1001_1^2 - 29118/6047*c_1001_1 - 11477/6047, c_0011_7 - 4472/6047*c_1001_1^7 + 19984/6047*c_1001_1^6 - 53758/6047*c_1001_1^5 + 54208/6047*c_1001_1^4 - 24702/6047*c_1001_1^3 - 8280/6047*c_1001_1^2 + 16973/6047*c_1001_1 + 1412/6047, c_0011_8 - 4888/6047*c_1001_1^7 + 22968/6047*c_1001_1^6 - 71134/6047*c_1001_1^5 + 102564/6047*c_1001_1^4 - 118408/6047*c_1001_1^3 + 62670/6047*c_1001_1^2 - 24199/6047*c_1001_1 - 9285/6047, c_0101_0 - 20020/6047*c_1001_1^7 + 101276/6047*c_1001_1^6 - 304084/6047*c_1001_1^5 + 431398/6047*c_1001_1^4 - 381012/6047*c_1001_1^3 + 165718/6047*c_1001_1^2 - 7057/6047*c_1001_1 - 13648/6047, c_0101_10 - 12232/6047*c_1001_1^7 + 66344/6047*c_1001_1^6 - 204850/6047*c_1001_1^5 + 317112/6047*c_1001_1^4 - 290234/6047*c_1001_1^3 + 150000/6047*c_1001_1^2 - 12844/6047*c_1001_1 - 8578/6047, c_0101_11 + 9984/6047*c_1001_1^7 - 47428/6047*c_1001_1^6 + 138862/6047*c_1001_1^5 - 180930/6047*c_1001_1^4 + 156682/6047*c_1001_1^3 - 58016/6047*c_1001_1^2 - 3580/6047*c_1001_1 + 8801/6047, c_0101_2 + 3256/6047*c_1001_1^7 - 18704/6047*c_1001_1^6 + 61576/6047*c_1001_1^5 - 107294/6047*c_1001_1^4 + 119194/6047*c_1001_1^3 - 75514/6047*c_1001_1^2 + 22691/6047*c_1001_1 + 10114/6047, c_0110_6 - 5480/6047*c_1001_1^7 + 19772/6047*c_1001_1^6 - 49346/6047*c_1001_1^5 + 25320/6047*c_1001_1^4 - 10344/6047*c_1001_1^3 - 24750/6047*c_1001_1^2 + 4659/6047*c_1001_1 + 3169/6047, c_1001_1^8 - 5*c_1001_1^7 + 15*c_1001_1^6 - 21*c_1001_1^5 + 37/2*c_1001_1^4 - 7*c_1001_1^3 - 1/2*c_1001_1^2 + 3/2*c_1001_1 + 1/4 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3/41*c_1001_1^9 + 2/41*c_1001_1^8 + 21/41*c_1001_1^7 - 7/41*c_1001_1^6 - 85/41*c_1001_1^5 + 516/41*c_1001_1^4 - 1704/41*c_1001_1^3 + 2783/41*c_1001_1^2 - 3169/41*c_1001_1 + 1731/41, c_0011_0 - 1, c_0011_10 - 5669/152971*c_1001_1^9 + 50541/152971*c_1001_1^8 - 212960/152971*c_1001_1^7 + 621043/152971*c_1001_1^6 - 1359457/152971*c_1001_1^5 + 2214029/152971*c_1001_1^4 - 2699621/152971*c_1001_1^3 + 2324499/152971*c_1001_1^2 - 1260599/152971*c_1001_1 + 12309/3731, c_0011_12 + 4915/152971*c_1001_1^9 - 29231/152971*c_1001_1^8 + 94711/152971*c_1001_1^7 - 18651/11767*c_1001_1^6 + 439004/152971*c_1001_1^5 - 562395/152971*c_1001_1^4 + 540581/152971*c_1001_1^3 - 207898/152971*c_1001_1^2 + 97835/152971*c_1001_1 - 186/3731, c_0011_4 - 599/21853*c_1001_1^9 + 4110/21853*c_1001_1^8 - 1176/1681*c_1001_1^7 + 43638/21853*c_1001_1^6 - 92288/21853*c_1001_1^5 + 148922/21853*c_1001_1^4 - 183003/21853*c_1001_1^3 + 156603/21853*c_1001_1^2 - 94542/21853*c_1001_1 + 300/533, c_0011_6 - 5441/152971*c_1001_1^9 + 53492/152971*c_1001_1^8 - 244715/152971*c_1001_1^7 + 57497/11767*c_1001_1^6 - 1726436/152971*c_1001_1^5 + 2974414/152971*c_1001_1^4 - 3762708/152971*c_1001_1^3 + 3359968/152971*c_1001_1^2 - 1779315/152971*c_1001_1 + 10844/3731, c_0011_7 - 1080/21853*c_1001_1^9 + 8140/21853*c_1001_1^8 - 2415/1681*c_1001_1^7 + 84991/21853*c_1001_1^6 - 171029/21853*c_1001_1^5 + 252090/21853*c_1001_1^4 - 261952/21853*c_1001_1^3 + 167874/21853*c_1001_1^2 - 44960/21853*c_1001_1 - 324/533, c_0011_8 - 1826/21853*c_1001_1^9 + 14572/21853*c_1001_1^8 - 4410/1681*c_1001_1^7 + 159440/21853*c_1001_1^6 - 329270/21853*c_1001_1^5 + 495420/21853*c_1001_1^4 - 537913/21853*c_1001_1^3 + 366630/21853*c_1001_1^2 - 133481/21853*c_1001_1 + 305/533, c_0101_0 + 6312/152971*c_1001_1^9 - 32258/152971*c_1001_1^8 + 82066/152971*c_1001_1^7 - 152942/152971*c_1001_1^6 + 116783/152971*c_1001_1^5 + 167330/152971*c_1001_1^4 - 648023/152971*c_1001_1^3 + 1088629/152971*c_1001_1^2 - 802801/152971*c_1001_1 + 11012/3731, c_0101_10 - 105/1681*c_1001_1^9 + 698/1681*c_1001_1^8 - 2562/1681*c_1001_1^7 + 7119/1681*c_1001_1^6 - 14690/1681*c_1001_1^5 + 23248/1681*c_1001_1^4 - 28456/1681*c_1001_1^3 + 24586/1681*c_1001_1^2 - 17072/1681*c_1001_1 + 153/41, c_0101_11 - 4366/152971*c_1001_1^9 + 43304/152971*c_1001_1^8 - 201675/152971*c_1001_1^7 + 637594/152971*c_1001_1^6 - 1498072/152971*c_1001_1^5 + 2635939/152971*c_1001_1^4 - 3456644/152971*c_1001_1^3 + 239977/11767*c_1001_1^2 - 1706671/152971*c_1001_1 + 8399/3731, c_0101_2 - 10411/152971*c_1001_1^9 + 65238/152971*c_1001_1^8 - 213012/152971*c_1001_1^7 + 531378/152971*c_1001_1^6 - 946405/152971*c_1001_1^5 + 1182939/152971*c_1001_1^4 - 1064579/152971*c_1001_1^3 + 508917/152971*c_1001_1^2 - 313557/152971*c_1001_1 + 2465/3731, c_0110_6 - 1, c_1001_1^10 - 8*c_1001_1^9 + 34*c_1001_1^8 - 104*c_1001_1^7 + 238*c_1001_1^6 - 419*c_1001_1^5 + 568*c_1001_1^4 - 563*c_1001_1^3 + 405*c_1001_1^2 - 170*c_1001_1 + 41 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_4, c_0011_6, c_0011_7, c_0011_8, c_0101_0, c_0101_10, c_0101_11, c_0101_2, c_0110_6, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t + 6825480849710148239549291696857146/30559189311279001062607626101344\ 2125*c_1001_1^14 + 111863061121038906359882451104067626/30559189311\ 2790010626076261013442125*c_1001_1^13 + 279682069479279296321146308371634716/305591893112790010626076261013\ 442125*c_1001_1^12 + 751525118824978840845100724763975717/305591893\ 112790010626076261013442125*c_1001_1^11 - 342715941466391169011282598924728902/305591893112790010626076261013\ 442125*c_1001_1^10 - 367466070341479211724911991329124863/611183786\ 22558002125215252202688425*c_1001_1^9 - 4553733128933630455710159048892330049/30559189311279001062607626101\ 3442125*c_1001_1^8 - 3253363516828892392351429335772078409/30559189\ 3112790010626076261013442125*c_1001_1^7 + 1568955304615590426420679882043447122/30559189311279001062607626101\ 3442125*c_1001_1^6 + 4858742689106855183946906467485815211/30559189\ 3112790010626076261013442125*c_1001_1^5 + 122634555932050698359914952601127317/430411117060267620600107409878\ 0875*c_1001_1^4 - 3309692311042347937090972936944072/98578030036383\ 87439550847129465875*c_1001_1^3 - 321019230242013780562422323869861\ 39/9857803003638387439550847129465875*c_1001_1^2 - 6872069547862832021414681670276446304/30559189311279001062607626101\ 3442125*c_1001_1 - 1340966172446882913114267496334441219/3055918931\ 12790010626076261013442125, c_0011_0 - 1, c_0011_10 - 71276335038183010401449/151840549090586531935099*c_1001_1^1\ 4 - 198996822450077294494796/151840549090586531935099*c_1001_1^13 - 681203680501992068386239/151840549090586531935099*c_1001_1^12 - 88543171555378292266407/151840549090586531935099*c_1001_1^11 + 1053882803526515755655774/151840549090586531935099*c_1001_1^10 + 4408421160599510100801341/151840549090586531935099*c_1001_1^9 + 4064505096619001629007025/151840549090586531935099*c_1001_1^8 + 1672063424886271534237304/151840549090586531935099*c_1001_1^7 - 5863895234787567308699275/151840549090586531935099*c_1001_1^6 - 8837029204280039561311312/151840549090586531935099*c_1001_1^5 - 7797267930151495512754488/151840549090586531935099*c_1001_1^4 + 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