Magma V2.19-8 Tue Aug 20 2013 16:17:46 on localhost [Seed = 1073863843] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1997 geometric_solution 5.55920921 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1230 3012 0132 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 -1 0 1 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 1.170864413976 1.047242313225 3 4 2 0 0132 0132 1230 0132 0 0 0 0 0 0 0 0 0 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 1 -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 0.821526560183 0.924418575164 4 3 0 1 2310 3201 0132 3012 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.821526560183 0.924418575164 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.714827553222 0.428528249986 6 1 2 6 0132 0132 3201 1023 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.379323541284 0.558541785173 5 3 5 3 2031 0132 1302 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.587289530717 0.121888411618 4 6 6 4 0132 3201 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.425324048456 0.662071417713 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { '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_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_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' : 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' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0101_4']), 'c_1100_0' : negation(d['c_0101_4']), 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_1']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0011_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : d['c_0011_1'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0110_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : negation(d['c_0101_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0110_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} 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_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 1/6*c_0110_5^4 + 61/12*c_0110_5^2 + 107/12, c_0011_0 - 1, c_0011_1 - 3/16*c_0110_5^5 + 49/8*c_0110_5^3 - 59/16*c_0110_5, c_0101_0 + 3/16*c_0110_5^5 - 49/8*c_0110_5^3 + 43/16*c_0110_5, c_0101_1 - 1/16*c_0110_5^5 + 17/8*c_0110_5^3 - 45/16*c_0110_5, c_0101_4 - 1/16*c_0110_5^4 + 17/8*c_0110_5^2 - 13/16, c_0101_6 - 1/16*c_0110_5^4 + 15/8*c_0110_5^2 - 17/16, c_0110_5^6 - 33*c_0110_5^4 + 27*c_0110_5^2 - 3 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_0, c_0101_1, c_0101_4, c_0101_6, c_0110_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 448227253287179127/227135085312330080*c_0110_5^16 + 9392668443545955479/113567542656165040*c_0110_5^14 - 91033469114098341283/113567542656165040*c_0110_5^12 + 433248546947907978747/227135085312330080*c_0110_5^10 + 141661426359747551789/113567542656165040*c_0110_5^8 + 1667265590890607070201/227135085312330080*c_0110_5^6 - 10939752864151529811/22713508531233008*c_0110_5^4 + 59737626950251064529/227135085312330080*c_0110_5^2 + 12855031408504683233/227135085312330080, c_0011_0 - 1, c_0011_1 + 97257143215381/2839188566404126*c_0110_5^17 - 2044280865276432/1419594283202063*c_0110_5^15 + 20012285197201484/1419594283202063*c_0110_5^13 - 98915160939827307/2839188566404126*c_0110_5^11 - 25477389996249872/1419594283202063*c_0110_5^9 - 350612067614882151/2839188566404126*c_0110_5^7 + 37125816718039410/1419594283202063*c_0110_5^5 - 455419979829865/2839188566404126*c_0110_5^3 + 1417867712090033/2839188566404126*c_0110_5, c_0101_0 + 37225782850172/1419594283202063*c_0110_5^17 - 1571680004574771/1419594283202063*c_0110_5^15 + 15605905407394212/1419594283202063*c_0110_5^13 - 40732984966245343/1419594283202063*c_0110_5^11 - 11729382592984386/1419594283202063*c_0110_5^9 - 132972087311929149/1419594283202063*c_0110_5^7 + 51889556016573880/1419594283202063*c_0110_5^5 - 11908949511566679/1419594283202063*c_0110_5^3 + 4373860246701210/1419594283202063*c_0110_5, c_0101_1 - 3896059413033/2839188566404126*c_0110_5^17 + 77784033212331/1419594283202063*c_0110_5^15 - 632706500300029/1419594283202063*c_0110_5^13 + 894831444574345/2839188566404126*c_0110_5^11 + 3679472454700440/1419594283202063*c_0110_5^9 + 25450059861939443/2839188566404126*c_0110_5^7 + 16059331727048280/1419594283202063*c_0110_5^5 + 21414093309266743/2839188566404126*c_0110_5^3 + 2000831116495821/2839188566404126*c_0110_5, c_0101_4 - 24153904389374/1419594283202063*c_0110_5^16 + 1007766478893650/1419594283202063*c_0110_5^14 - 9622607292965674/1419594283202063*c_0110_5^12 + 21563011439666482/1419594283202063*c_0110_5^10 + 19082980276556885/1419594283202063*c_0110_5^8 + 94126563276597829/1419594283202063*c_0110_5^6 + 11887822935234404/1419594283202063*c_0110_5^4 + 6439271864634153/1419594283202063*c_0110_5^2 + 42227290065737/1419594283202063, c_0101_6 + 26724987530878/1419594283202063*c_0110_5^16 - 1109683974706866/1419594283202063*c_0110_5^14 + 10422305015596587/1419594283202063*c_0110_5^12 - 21676686556901337/1419594283202063*c_0110_5^10 - 26349039567268532/1419594283202063*c_0110_5^8 - 107419481928005340/1419594283202063*c_0110_5^6 - 32764320972394155/1419594283202063*c_0110_5^4 - 6314944489733730/1419594283202063*c_0110_5^2 - 1369141187974863/1419594283202063, c_0110_5^18 - 42*c_0110_5^16 + 410*c_0110_5^14 - 1005*c_0110_5^12 - 526*c_0110_5^10 - 3711*c_0110_5^8 + 554*c_0110_5^6 - 327*c_0110_5^4 + 17*c_0110_5^2 - 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB