Magma V2.19-8 Tue Aug 20 2013 16:17:41 on localhost [Seed = 3137021525] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1928 geometric_solution 5.52461565 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -2 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 -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 -0.313443986726 1.556193427259 0 4 5 3 0132 1302 0132 1302 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 0 0 0 0 0 1.124383269073 0.617540721755 6 0 5 5 0132 0132 2310 0132 0 0 0 0 0 2 -1 -1 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 -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 0.247656855943 0.464926967519 3 3 1 0 1230 3012 2031 0132 0 0 0 0 0 1 0 -1 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.061910776591 0.214558444131 6 6 0 1 2031 3120 0132 2031 0 0 0 0 0 1 -1 0 0 0 0 0 -1 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 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 0.206723959995 1.764944688319 6 2 2 1 3012 3201 0132 0132 0 0 0 0 0 -1 1 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 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 0.961857563750 0.594401004159 2 4 4 5 0132 3120 1302 1230 0 0 0 0 0 1 0 -1 0 0 -1 1 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 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 -0.377526774937 1.763905862210 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(d['1']), 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0101_1'], 'c_1100_5' : d['c_0011_5'], 'c_1100_4' : negation(d['c_1010_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_5'], 'c_1100_0' : negation(d['c_1010_1']), 'c_1100_3' : negation(d['c_1010_1']), 'c_1100_2' : d['c_0011_5'], 'c_0101_6' : negation(d['c_0011_4']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0011_5'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_3'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_0'], '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_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_6' : d['c_0110_4'], 'c_1001_1' : d['c_0110_4'], 'c_1001_0' : negation(d['c_0011_5']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0110_4']), 'c_0110_1' : d['c_0011_3'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0110_4'], 'c_0110_6' : d['c_0011_5'], 'c_1010_6' : negation(d['c_0011_4']), 'c_1010_5' : d['c_0110_4'], 'c_1010_4' : negation(d['c_0011_0']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : negation(d['c_0011_5']), 'c_1010_1' : d['c_1010_1'], 'c_1010_0' : negation(d['c_0110_4'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0110_4, c_1010_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 1895920081809/33205985509312*c_1010_1^11 + 1218765125363/4743712215616*c_1010_1^10 + 21541102746491/33205985509312*c_1010_1^9 + 1112016967800/518843523583*c_1010_1^8 + 54520181075667/16602992754656*c_1010_1^7 + 192381099636871/33205985509312*c_1010_1^6 + 8182619307795/1185928053904*c_1010_1^5 + 114596314617593/16602992754656*c_1010_1^4 + 157945453700443/16602992754656*c_1010_1^3 + 43316422531531/4743712215616*c_1010_1^2 + 87905554302361/8301496377328*c_1010_1 + 22240880455209/2075374094332, c_0011_0 - 1, c_0011_3 - 4124529863/107811641264*c_1010_1^11 - 14847061151/107811641264*c_1010_1^10 - 22742207417/107811641264*c_1010_1^9 - 23417870417/26952910316*c_1010_1^8 - 40784301773/53905820632*c_1010_1^7 - 68079735577/107811641264*c_1010_1^6 - 8693202254/6738227579*c_1010_1^5 - 14745925031/53905820632*c_1010_1^4 - 50532260857/53905820632*c_1010_1^3 - 354895342051/107811641264*c_1010_1^2 - 2674118181/13476455158*c_1010_1 + 12719690688/6738227579, c_0011_4 + 816035491/26952910316*c_1010_1^11 + 1582731305/13476455158*c_1010_1^10 + 1242712179/6738227579*c_1010_1^9 + 18892882193/26952910316*c_1010_1^8 + 10103638163/13476455158*c_1010_1^7 + 11433640623/26952910316*c_1010_1^6 + 33644934709/26952910316*c_1010_1^5 + 3988168331/13476455158*c_1010_1^4 + 6124691196/6738227579*c_1010_1^3 + 70495309389/26952910316*c_1010_1^2 - 8076135921/26952910316*c_1010_1 - 14959610443/6738227579, c_0011_5 + 4190466999/107811641264*c_1010_1^11 + 15464447167/107811641264*c_1010_1^10 + 25226905417/107811641264*c_1010_1^9 + 24761437333/26952910316*c_1010_1^8 + 46343709733/53905820632*c_1010_1^7 + 92626008233/107811641264*c_1010_1^6 + 9675946199/6738227579*c_1010_1^5 + 22767889447/53905820632*c_1010_1^4 + 56909230825/53905820632*c_1010_1^3 + 341628707539/107811641264*c_1010_1^2 - 4555645957/13476455158*c_1010_1 - 12136217362/6738227579, c_0101_1 - 1, c_0110_4 - 310539605/6738227579*c_1010_1^11 - 2458013325/13476455158*c_1010_1^10 - 4265303059/13476455158*c_1010_1^9 - 15573022923/13476455158*c_1010_1^8 - 8798103822/6738227579*c_1010_1^7 - 7986013489/6738227579*c_1010_1^6 - 29529126669/13476455158*c_1010_1^5 - 5951001430/6738227579*c_1010_1^4 - 13367417100/6738227579*c_1010_1^3 - 30830710200/6738227579*c_1010_1^2 - 10925648901/13476455158*c_1010_1 + 15299748765/6738227579, c_1010_1^12 + 5*c_1010_1^11 + 11*c_1010_1^10 + 32*c_1010_1^9 + 54*c_1010_1^8 + 55*c_1010_1^7 + 68*c_1010_1^6 + 66*c_1010_1^5 + 54*c_1010_1^4 + 125*c_1010_1^3 + 116*c_1010_1^2 - 32*c_1010_1 - 64 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB