Magma V2.19-8 Tue Aug 20 2013 16:16:34 on localhost [Seed = 2850567540] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v0869 geometric_solution 4.77754264 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.371975699694 0.200824196870 2 0 3 0 0132 2310 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 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 0.546415766902 0.923005564761 1 4 3 3 0132 0132 3012 1230 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 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.387909167160 1.401473910724 2 2 4 1 3012 1230 3201 0132 0 0 0 0 0 0 0 0 1 0 -1 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 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.387909167160 1.401473910724 3 2 5 5 2310 0132 3201 0132 0 0 0 0 0 0 0 0 -1 0 1 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 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 -0.282642238414 0.446586016120 4 6 4 6 2310 0132 0132 1023 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 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 0.040667795990 2.971951171851 6 5 6 5 2031 0132 1302 1023 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 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 0.347933224949 0.149004683051 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : 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' : 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' : d['1'], 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : negation(d['c_0011_1']), 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0011_5'], 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_1'], 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : d['c_0101_3'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : negation(d['c_0011_3']), 'c_0110_4' : negation(d['c_0101_3']), 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : d['c_0101_0'], 'c_1010_2' : d['c_0101_3'], '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_0011_3, c_0011_5, c_0101_0, c_0101_3, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 20 Groebner basis: [ t + 8558090870206942455921777027/48504552521450673994844716736*c_0110_6\ ^19 + 226466593959667603432968733561/48504552521450673994844716736*\ c_0110_6^17 + 1402110414937992702457256170973/242522762607253369974\ 22358368*c_0110_6^15 + 4692211277993593026187417902271/121261381303\ 62668498711179184*c_0110_6^13 + 103915073649818442704120589972961/4\ 8504552521450673994844716736*c_0110_6^11 - 663663454579400093057799569055657/48504552521450673994844716736*c_0\ 110_6^9 + 29026922653708732665301858914489/121261381303626684987111\ 79184*c_0110_6^7 + 4829146439028536306690891032987/2425227626072533\ 6997422358368*c_0110_6^5 + 1274251209612898919144753938895/12126138\ 130362668498711179184*c_0110_6^3 - 676065721516549905250968493003/48504552521450673994844716736*c_0110\ _6, c_0011_0 - 1, c_0011_1 + 133362591766782972802427/15467012921380954717743851*c_0110_6\ ^18 + 3588529399606510316791888/15467012921380954717743851*c_0110_6\ ^16 + 45275188672588940885163069/15467012921380954717743851*c_0110_\ 6^14 + 312042694451538710993864515/15467012921380954717743851*c_011\ 0_6^12 + 1750731378607514989902962877/15467012921380954717743851*c_\ 0110_6^10 - 9613500260774848743590952333/15467012921380954717743851\ *c_0110_6^8 - 2764767825726614604109494357/154670129213809547177438\ 51*c_0110_6^6 + 695346368916949380953540849/15467012921380954717743\ 851*c_0110_6^4 + 264057045956218907294662454/1546701292138095471774\ 3851*c_0110_6^2 + 26636336697660504720917553/1546701292138095471774\ 3851, c_0011_3 - 83260430762695449685785/15467012921380954717743851*c_0110_6^\ 18 - 2218870886839971397925909/15467012921380954717743851*c_0110_6^\ 16 - 27693306036692778104910678/15467012921380954717743851*c_0110_6\ ^14 - 187670361461912036950268330/15467012921380954717743851*c_0110\ _6^12 - 1044653738892772176606032731/15467012921380954717743851*c_0\ 110_6^10 + 6270987362859692315608079823/15467012921380954717743851*\ c_0110_6^8 + 102612581783601219093041003/15467012921380954717743851\ *c_0110_6^6 - 421668728017701376879647827/1546701292138095471774385\ 1*c_0110_6^4 - 98505481103965427622883705/1546701292138095471774385\ 1*c_0110_6^2 - 7416302881589664453715951/15467012921380954717743851\ , c_0011_5 + 47878103712641636294282/15467012921380954717743851*c_0110_6^\ 18 + 1282645685737649301481368/15467012921380954717743851*c_0110_6^\ 16 + 16105175322198482074794348/15467012921380954717743851*c_0110_6\ ^14 + 110194600502229077544855875/15467012921380954717743851*c_0110\ _6^12 + 616420763464232733924601309/15467012921380954717743851*c_01\ 10_6^10 - 3517822642677140858789705114/15467012921380954717743851*c\ _0110_6^8 - 540699770700812886585249055/15467012921380954717743851*\ c_0110_6^6 + 116691697502774014320830460/15467012921380954717743851\ *c_0110_6^4 + 46165297404420287896619028/15467012921380954717743851\ *c_0110_6^2 + 4575671762251332879861105/15467012921380954717743851, c_0101_0 - 397746547072223235158767/30934025842761909435487702*c_0110_6\ ^19 - 10718497887456349698947145/30934025842761909435487702*c_0110_\ 6^17 - 67733358393145891832541460/15467012921380954717743851*c_0110\ _6^15 - 468128938584797714338326708/15467012921380954717743851*c_01\ 10_6^13 - 5261212903332181365305689991/30934025842761909435487702*c\ _0110_6^11 + 28446314599981531095362936181/309340258427619094354877\ 02*c_0110_6^9 + 4650713293683722882493280137/1546701292138095471774\ 3851*c_0110_6^7 - 550378449820131511268170352/154670129213809547177\ 43851*c_0110_6^5 - 592482624324822360215374888/15467012921380954717\ 743851*c_0110_6^3 - 146786129756944024638448123/3093402584276190943\ 5487702*c_0110_6, c_0101_3 + 58447630492690125683788/15467012921380954717743851*c_0110_6^\ 19 + 1582205213017069988627847/15467012921380954717743851*c_0110_6^\ 17 + 20100853103423846970298826/15467012921380954717743851*c_0110_6\ ^15 + 140061230614720744607960768/15467012921380954717743851*c_0110\ _6^13 + 790524149006978537836852917/15467012921380954717743851*c_01\ 10_6^11 - 4081512952059041258217024177/15467012921380954717743851*c\ _0110_6^9 - 1856275026739236586154592624/15467012921380954717743851\ *c_0110_6^7 - 117641116286644274955293615/1546701292138095471774385\ 1*c_0110_6^5 + 123334271412187241803495052/154670129213809547177438\ 51*c_0110_6^3 + 44395813230354684593418162/154670129213809547177438\ 51*c_0110_6, c_0110_6^20 + 27*c_0110_6^18 + 342*c_0110_6^16 + 2372*c_0110_6^14 + 13355*c_0110_6^12 - 70795*c_0110_6^10 - 26892*c_0110_6^8 + 562*c_0110_6^6 + 2340*c_0110_6^4 + 583*c_0110_6^2 + 56 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.220 seconds, Total memory usage: 32.09MB