Magma V2.19-8 Tue Aug 20 2013 23:56:41 on localhost [Seed = 1613105249] Type ? for help. Type -D to quit. Loading file "L14n24323__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n24323 geometric_solution 11.49000021 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 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 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 0.665615986810 1.093096327152 0 5 7 6 0132 0132 0132 0132 1 1 1 0 0 0 0 0 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 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 0.295753455136 1.138485893029 7 0 3 5 0132 0132 0213 1302 1 1 1 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 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 0.462271299928 0.477038025626 8 2 9 0 0132 0213 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408011843910 0.575170077142 8 9 0 10 1302 0132 0132 0132 1 1 1 0 0 0 0 0 -1 0 0 1 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 1 -1 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 0.717265126808 0.679560989255 11 1 2 9 0132 0132 2031 3120 1 1 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 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 0.462271299928 0.477038025626 10 7 1 10 0132 3201 0132 3201 1 1 1 1 0 0 0 0 -1 0 0 1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.114321239850 0.749433347862 2 11 6 1 0132 0132 2310 0132 1 1 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.295753455136 1.138485893029 3 4 10 11 0132 2031 0132 0132 1 1 0 1 0 0 0 0 0 0 0 0 0 1 0 -1 -1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.717265126808 0.679560989255 5 4 11 3 3120 0132 0132 0132 1 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 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408011843910 0.575170077142 6 6 4 8 0132 2310 0132 0132 1 1 1 1 0 0 0 0 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 0 1 -1 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 0.866104243003 0.911761069312 5 7 8 9 0132 0132 0132 0132 1 1 1 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 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665615986810 1.093096327152 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_4'], 'c_1001_10' : d['c_1001_10'], 'c_1001_5' : negation(d['c_0101_7']), 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_10'], 'c_1001_6' : negation(d['c_0101_7']), 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_10'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_11' : d['c_1001_10'], 'c_1010_10' : negation(d['c_0101_10']), 's_0_10' : d['1'], 's_0_11' : 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_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_0']), 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_5']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : negation(d['c_1001_10']), 'c_1010_5' : d['c_0011_4'], 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0101_7']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_2'], 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : d['c_1100_0'], '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'], '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_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_0101_5'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0011_3'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_11'], 'c_0101_2' : d['c_0011_3'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : d['c_0101_0'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0101_0, c_0101_10, c_0101_11, c_0101_5, c_0101_7, c_1001_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 28004430919535/614853319756*c_1100_0^9 + 206284243634043/3381693258658*c_1100_0^8 - 32571857131344/130065125333*c_1100_0^7 + 39782412315853/307426659878*c_1100_0^6 + 962095021246111/6763386517316*c_1100_0^5 - 129290458246783/3381693258658*c_1100_0^4 + 1304891418228027/6763386517316*c_1100_0^3 - 27640344464397/1690846629329*c_1100_0^2 + 6909053032343/307426659878*c_1100_0 + 42256517918117/1690846629329, c_0011_0 - 1, c_0011_10 - 245774980/909546331*c_1100_0^9 + 510797312/909546331*c_1100_0^8 - 1359872839/909546331*c_1100_0^7 + 1227690218/909546331*c_1100_0^6 + 1933732989/909546331*c_1100_0^5 - 2470743654/909546331*c_1100_0^4 + 2099359195/909546331*c_1100_0^3 - 578959650/909546331*c_1100_0^2 - 386531847/909546331*c_1100_0 + 927267400/909546331, c_0011_3 - 5127529121/3638185324*c_1100_0^9 + 5374048593/3638185324*c_1100_0^8 - 13772972551/1819092662*c_1100_0^7 + 2240151014/909546331*c_1100_0^6 + 10973101475/3638185324*c_1100_0^5 + 10020214671/3638185324*c_1100_0^4 + 16548095221/3638185324*c_1100_0^3 + 6183667873/3638185324*c_1100_0^2 + 1842108885/1819092662*c_1100_0 + 1371746489/1819092662, c_0011_4 + 4148215841/3638185324*c_1100_0^9 - 5146145145/3638185324*c_1100_0^8 + 11433344343/1819092662*c_1100_0^7 - 2300682060/909546331*c_1100_0^6 - 12024919115/3638185324*c_1100_0^5 + 6171357189/3638185324*c_1100_0^4 - 19850504181/3638185324*c_1100_0^3 - 6044670293/3638185324*c_1100_0^2 - 993960473/1819092662*c_1100_0 - 2388324371/1819092662, c_0101_0 - 1, c_0101_10 + 1102310495/3638185324*c_1100_0^9 - 408631156/909546331*c_1100_0^8 + 2074482977/909546331*c_1100_0^7 - 3800308013/1819092662*c_1100_0^6 + 9490437183/3638185324*c_1100_0^5 - 2677485663/909546331*c_1100_0^4 - 6253558765/3638185324*c_1100_0^3 - 1738749209/1819092662*c_1100_0^2 - 2640388677/1819092662*c_1100_0 - 58373236/909546331, c_0101_11 - 1112653421/909546331*c_1100_0^9 + 7651796679/3638185324*c_1100_0^8 - 7352746863/909546331*c_1100_0^7 + 13199861725/1819092662*c_1100_0^6 - 3833833595/1819092662*c_1100_0^5 + 5805499367/3638185324*c_1100_0^4 + 9143955865/1819092662*c_1100_0^3 - 2191783179/3638185324*c_1100_0^2 + 1557132699/909546331*c_1100_0 + 2105687985/1819092662, c_0101_5 + 2402670281/3638185324*c_1100_0^9 - 1438216919/1819092662*c_1100_0^8 + 3478299815/909546331*c_1100_0^7 - 3313573263/1819092662*c_1100_0^6 - 2257714595/3638185324*c_1100_0^5 - 1339245839/1819092662*c_1100_0^4 - 13574171955/3638185324*c_1100_0^3 + 200941367/909546331*c_1100_0^2 - 537450121/1819092662*c_1100_0 - 194175033/909546331, c_0101_7 + 3701384313/3638185324*c_1100_0^9 - 820138440/909546331*c_1100_0^8 + 4489188277/909546331*c_1100_0^7 - 1084858735/1819092662*c_1100_0^6 - 16012938047/3638185324*c_1100_0^5 - 2018774725/909546331*c_1100_0^4 - 10696941679/3638185324*c_1100_0^3 - 4134084035/1819092662*c_1100_0^2 + 1320837713/1819092662*c_1100_0 - 466036332/909546331, c_1001_10 - 1103782273/1819092662*c_1100_0^9 + 534120300/909546331*c_1100_0^8 - 2423134133/909546331*c_1100_0^7 - 22879851/909546331*c_1100_0^6 + 8968510063/1819092662*c_1100_0^5 - 1257767712/909546331*c_1100_0^4 + 6172854097/1819092662*c_1100_0^3 + 372690517/909546331*c_1100_0^2 - 771252810/909546331*c_1100_0 + 336355685/909546331, c_1001_2 + 236408227/909546331*c_1100_0^9 - 3140838217/3638185324*c_1100_0^8 + 1799964071/909546331*c_1100_0^7 - 6085980449/1819092662*c_1100_0^6 + 217472301/1819092662*c_1100_0^5 + 7582934963/3638185324*c_1100_0^4 + 769909495/1819092662*c_1100_0^3 + 4865516129/3638185324*c_1100_0^2 + 31786700/909546331*c_1100_0 + 218501215/1819092662, c_1100_0^10 - 18/11*c_1100_0^9 + 70/11*c_1100_0^8 - 58/11*c_1100_0^7 + 7/11*c_1100_0^6 - 10/11*c_1100_0^5 - 47/11*c_1100_0^4 + 4/11*c_1100_0^3 - 8/11*c_1100_0^2 - 8/11*c_1100_0 + 4/11 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB