1.pol: x
2.a1: 0
3.a2: 0
4.a3: 0
5.a4: 0
6.a6: 0
7NF
8.codiff: [1, 553/1105; 0, 1/1105]
9.diff: [1105, 553; 0, 1]
10.disc: 1105
11.index: 2
12.nf: [y^2 - 1105, [2, 0], 1105, 2, [[1, -17.12077013859466140231529077105260
139448; 1, 16.120770138594661402315290771052609448], [1, -17.12077013859466140
142315290771052609448; 1, 16.120770138594661402315290771052609448], [16, -274;
15 16, 258], [2, -1; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553,
16 276; 1, 552]], [5, 13, 17]], [-33.241540277189322804630581542105218897, 33.
17241540277189322804630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 2
1876; 0, 1, 1, -1]]
19.p: [5, 13, 17]
20.pol: y^2 - 1105
21.r1: 2
22.r2: 0
23.roots: [-33.241540277189322804630581542105218897, 33.2415402771893228046305
2481542105218897]
25.sign: [2, 0]
26.t2: [2, -1.0000000000000000000000000000000000000; -1.0000000000000000000000
27000000000000000, 553.00000000000000000000000000000000000]
28.zk: [1, 1/2*y - 1/2]
29NF chvar
30  *** nfinit: Warning: nonmonic polynomial. Result of the form [nf,c].
31.codiff: [1/2, 0; 0, 1/4]
32.diff: [4, 0; 0, 2]
33.disc: -8
34.index: 1
35.nf: [y^2 + 2, [0, 1], -8, 1, [Mat([1, 0.E-57 + 1.41421356237309504880168872
3642096980786*I]), [1, 1.4142135623730950488016887242096980786; 1, -1.41421356
3723730950488016887242096980786], [16, 23; 16, -23], [2, 0; 0, -4], [4, 0; 0,
382], [2, 0; 0, -1], [2, [0, -2; 1, 0]], [2]], [0.E-57 + 1.4142135623730950488
39016887242096980786*I], [1, y], [1, 0; 0, 1], [1, 0, 0, -2; 0, 1, 1, 0]]
40.p: [2]
41.pol: y^2 + 2
42.r1: 0
43.r2: 1
44.roots: [0.E-57 + 1.4142135623730950488016887242096980786*I]
45.sign: [0, 1]
46.t2: [2, 0.E-57; 0.E-57, 4.0000000000000000000000000000000000000]
47.zk: [1, y]
48BNF
49.bnf: [[2, 0; 0, 2], [1, 1, 0; 1, 0, 1], [10.9503854058256053302677508250179
5037393; -10.950385405825605330267750825017937393 + 3.141592653589793238462643
513832795028842*I], [-2.8070134016636593080928506577483570863, 6.4656286076812
52397829259659980344686072, 1.8293076030087902374165576701430557605 + 3.141592
536535897932384626433832795028842*I, 0.E-38, 0.E-38; 2.80701340166365930809285
5406577483570863 + 3.1415926535897932384626433832795028842*I, -6.4656286076812
55397829259659980344686072 + 3.1415926535897932384626433832795028842*I, -1.829
563076030087902374165576701430557605 + 3.1415926535897932384626433832795028842
57*I, 0.E-38, 0.E-38], [[2, [-1, 1]~, 1, 1, [0, 276; 1, -1]], [3, [-1, -1]~, 1
58, 1, [0, -276; -1, 1]], [5, [1, 2]~, 2, 1, [1, 552; 2, -1]], [2, [2, 1]~, 1,
59 1, [1, 276; 1, 0]], [3, [0, -1]~, 1, 1, [-1, -276; -1, 0]]], 0, [y^2 - 1105
60, [2, 0], 1105, 2, [[1, -17.120770138594661402315290771052609448; 1, 16.1207
6170138594661402315290771052609448], [1, -17.120770138594661402315290771052609
62448; 1, 16.120770138594661402315290771052609448], [16, -274; 16, 258], [2, -
631; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553, 276; 1, 552]],
64[5, 13, 17]], [-33.241540277189322804630581542105218897, 33.2415402771893228
6504630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 276; 0, 1, 1, -1]
66], [[4, [2, 2], [[2, 0; 0, 1], [3, 0; 0, 1]]], 10.95038540582560533026775082
675017937393, 1, [2, -1], [-857*y + 28488]], [[-1, 0; 0, -1], [0, 0; 0, 0], [2
68.8070134016636593080928506577483570863, -6.465628607681239782925965998034468
696072; -2.8070134016636593080928506577483570863 - 3.1415926535897932384626433
70832795028842*I, 6.4656286076812397829259659980344686072 - 3.1415926535897932
71384626433832795028842*I], [Mat([1/2, 1]), Mat([1/3, 1])]~, [-1, 0; 0, -1], [
720, 0; 0, 0]], [0, 0, 0]]
73.clgp: [4, [2, 2], [[2, 0; 0, 1], [3, 0; 0, 1]]]
74.codiff: [1, 553/1105; 0, 1/1105]
75.cyc: [2, 2]
76.diff: [1105, 553; 0, 1]
77.disc: 1105
78.fu: [Mod(-857*y + 28488, y^2 - 1105)]
79.gen: [[2, 0; 0, 1], [3, 0; 0, 1]]
80.index: 2
81.nf: [y^2 - 1105, [2, 0], 1105, 2, [[1, -17.12077013859466140231529077105260
829448; 1, 16.120770138594661402315290771052609448], [1, -17.12077013859466140
832315290771052609448; 1, 16.120770138594661402315290771052609448], [16, -274;
84 16, 258], [2, -1; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553,
85 276; 1, 552]], [5, 13, 17]], [-33.241540277189322804630581542105218897, 33.
86241540277189322804630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 2
8776; 0, 1, 1, -1]]
88.no: 4
89.p: [5, 13, 17]
90.pol: y^2 - 1105
91.r1: 2
92.r2: 0
93.reg: 10.950385405825605330267750825017937393
94.roots: [-33.241540277189322804630581542105218897, 33.2415402771893228046305
9581542105218897]
96.sign: [2, 0]
97.t2: [2, -1.0000000000000000000000000000000000000; -1.0000000000000000000000
98000000000000000, 553.00000000000000000000000000000000000]
99.tu: [2, -1]
100.zk: [1, 1/2*y - 1/2]
101BNR
102.bid: [[[4, 0; 0, 4], [0, 0]], [4, [2, 2], [[1, -2]~, [-1, -2]~]], [[[2, [-1
103, 1]~, 1, 1, [0, 276; 1, -1]], 2; [2, [2, 1]~, 1, 1, [1, 276; 1, 0]], 2], [[
1042, [-1, 1]~, 1, 1, [0, 276; 1, -1]], 2; [2, [2, 1]~, 1, 1, [1, 276; 1, 0]],
1052]], [[[[2], [[1, -2]~], [4, 1; 0, 1], [[[0, -1]~, [1, 1], [2, [-1, 1]~, 1,
1061, [0, 276; 1, -1]]]~, 1, [1, matrix(0,2)]], [1, 1, [[[2], [3], Mat([1, -1])
107, 2]]], [[0]~, Mat(1)]], [[2], [[-1, -2]~], [4, 0; 0, 1], [[[1, -1]~, [1, 0]
108, [2, [2, 1]~, 1, 1, [1, 276; 1, 0]]]~, 1, [1, matrix(0,2)]], [1, 1, [[[2],
109[3], Mat([1, 0]), 2]]], [[0]~, Mat(1)]]], [[], Vecsmall([])]], [[1; 0], [0;
1101]]]
111.bnf: [[2, 0; 0, 2], [1, 1, 0; 1, 0, 1], [10.9503854058256053302677508250179
11237393; -10.950385405825605330267750825017937393 + 3.141592653589793238462643
1133832795028842*I], [-2.8070134016636593080928506577483570863, 6.4656286076812
114397829259659980344686072, 1.8293076030087902374165576701430557605 + 3.141592
1156535897932384626433832795028842*I, 0.E-38, 0.E-38; 2.80701340166365930809285
11606577483570863 + 3.1415926535897932384626433832795028842*I, -6.4656286076812
117397829259659980344686072 + 3.1415926535897932384626433832795028842*I, -1.829
1183076030087902374165576701430557605 + 3.1415926535897932384626433832795028842
119*I, 0.E-38, 0.E-38], [[2, [-1, 1]~, 1, 1, [0, 276; 1, -1]], [3, [-1, -1]~, 1
120, 1, [0, -276; -1, 1]], [5, [1, 2]~, 2, 1, [1, 552; 2, -1]], [2, [2, 1]~, 1,
121 1, [1, 276; 1, 0]], [3, [0, -1]~, 1, 1, [-1, -276; -1, 0]]], 0, [y^2 - 1105
122, [2, 0], 1105, 2, [[1, -17.120770138594661402315290771052609448; 1, 16.1207
12370138594661402315290771052609448], [1, -17.120770138594661402315290771052609
124448; 1, 16.120770138594661402315290771052609448], [16, -274; 16, 258], [2, -
1251; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553, 276; 1, 552]],
126[5, 13, 17]], [-33.241540277189322804630581542105218897, 33.2415402771893228
12704630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 276; 0, 1, 1, -1]
128], [[4, [2, 2], [[2, 0; 0, 1], [3, 0; 0, 1]]], 10.95038540582560533026775082
1295017937393, 1, [2, -1], [-857*y + 28488]], [[-1, 0; 0, -1], [0, 0; 0, 0], [2
130.8070134016636593080928506577483570863, -6.465628607681239782925965998034468
1316072; -2.8070134016636593080928506577483570863 - 3.1415926535897932384626433
132832795028842*I, 6.4656286076812397829259659980344686072 - 3.1415926535897932
133384626433832795028842*I], [Mat([1/2, 1]), Mat([1/3, 1])]~, [-1, 0; 0, -1], [
1340, 0; 0, 0]], [0, [Mat([[16, -1]~, 1]), Mat([[129, -8]~, 1])], 0]]
135.clgp: [4, [2, 2]]
136.codiff: [1, 553/1105; 0, 1/1105]
137.cyc: [2, 2]
138.diff: [1105, 553; 0, 1]
139.disc: 1105
140.index: 2
141.mod: [[4, 0; 0, 4], [0, 0]]
142.nf: [y^2 - 1105, [2, 0], 1105, 2, [[1, -17.12077013859466140231529077105260
1439448; 1, 16.120770138594661402315290771052609448], [1, -17.12077013859466140
1442315290771052609448; 1, 16.120770138594661402315290771052609448], [16, -274;
145 16, 258], [2, -1; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553,
146 276; 1, 552]], [5, 13, 17]], [-33.241540277189322804630581542105218897, 33.
147241540277189322804630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 2
14876; 0, 1, 1, -1]]
149.no: 4
150.p: [5, 13, 17]
151.pol: y^2 - 1105
152.r1: 2
153.r2: 0
154.roots: [-33.241540277189322804630581542105218897, 33.2415402771893228046305
15581542105218897]
156.sign: [2, 0]
157.t2: [2, -1.0000000000000000000000000000000000000; -1.0000000000000000000000
158000000000000000, 553.00000000000000000000000000000000000]
159.zk: [1, 1/2*y - 1/2]
160.zkst: [4, [2, 2], [[1, -2]~, [-1, -2]~]]
161RNF
162.disc: [[4420, 553; 0, 1], [1, 2]~]
163.index: [2, 0; 0, 1]
164.nf: [y^2 - 1105, [2, 0], 1105, 2, [[1, -17.12077013859466140231529077105260
1659448; 1, 16.120770138594661402315290771052609448], [1, -17.12077013859466140
1662315290771052609448; 1, 16.120770138594661402315290771052609448], [16, -274;
167 16, 258], [2, -1; -1, 553], [1105, 553; 0, 1], [553, 1; 1, 2], [1105, [553,
168 276; 1, 552]], [5, 13, 17]], [-33.241540277189322804630581542105218897, 33.
169241540277189322804630581542105218897], [2, y - 1], [1, 1; 0, 2], [1, 0, 0, 2
17076; 0, 1, 1, -1]]
171.pol: x^2 - y
172.polabs: x^4 - 1105
173.zk: [[1, x - 1], [1, [1, 1/2; 0, 1/2]]]
174QUADCLASSUNIT
175.clgp: [4, [2, 2], [Qfb(2, 33, -2, 0.E-38), Qfb(3, 31, -12, 0.E-38)]]
176.cyc: [2, 2]
177.gen: [Qfb(2, 33, -2, 0.E-38), Qfb(3, 31, -12, 0.E-38)]
178.no: 4
179.reg: 10.950385405825605330267750825017937393
180GAL
181.gen: [Vecsmall([2, 1])]
182.group: [Vecsmall([1, 2]), Vecsmall([2, 1])]
183.mod: 1924481769277537925474295096745532701170466590649506396700122170162248
18474137973943
185.orders: Vecsmall([2])
186.p: 7
187.pol: x^2 - 680564733841876926926749214863536422912
188.roots: [8115106970904773215875220506543554430286346080245400415743406046580
1893070437569694, 1112971072187060603886773046091177258141831982624966355125781
19056550421803700404249]~
191ELL
192.a1: 1
193.a2: 2
194.a3: 3
195.a4: 4
196.a6: 5
197.b2: 9
198.b4: 11
199.b6: 29
200.b8: 35
201.c4: -183
202.c6: -3429
203.area: 2.9719152678179096707716479509361896060
204.disc: -10351
205.eta: [3.1096482423243803285501491221965830079, 1.55482412116219016427507456
20610982915039 + 1.0643747452102737569438859937299427442*I]
207.gen: [[1, 2]]
208.j: 6128487/10351
209.omega: [2.7807400137667297710631976271813584994, 1.390370006883364885531598
2108135906792497 - 1.0687497763561930661592635474375038788*I]
211.roots: [-1.6189099322673713423780009396072169751, -0.3155450338663143288109
2129953019639151248 + 2.0925470969119586079816894466366945829*I, -0.31554503386
213631432881099953019639151248 - 2.0925470969119586079816894466366945829*I, 4.1
214850941938239172159633788932733891659*I, -1.303364898401057013567001409410825
2154626 + 2.0925470969119586079816894466366945829*I, -1.30336489840105701356700
21614094108254626 - 2.0925470969119586079816894466366945829*I]~
217ELLFp
218.a1: Mod(1, 13)
219.a2: Mod(2, 13)
220.a3: Mod(3, 13)
221.a4: Mod(4, 13)
222.a6: Mod(5, 13)
223.b2: Mod(9, 13)
224.b4: Mod(11, 13)
225.b6: Mod(3, 13)
226.b8: Mod(9, 13)
227.c4: Mod(12, 13)
228.c6: Mod(3, 13)
229.cyc: [13]
230.disc: Mod(10, 13)
231.gen: [[Mod(6, 13), Mod(12, 13)]]
232.group: [13, [13], [[Mod(6, 13), Mod(12, 13)]]]
233.j: Mod(9, 13)
234.no: 13
235.p: 13
236ELLFq
237.a1: 1
238.a2: 2
239.a3: 3
240.a4: 4
241.a6: 5
242.b2: 9
243.b4: 11
244.b6: 3
245.b8: 9
246.c4: 12
247.c6: 3
248.cyc: [195]
249.disc: 10
250.gen: [[6*x + 1, x + 6]]
251.group: [195, [195], [[6*x + 1, x + 6]]]
252.j: 9
253.no: 195
254.p: 13
255ELLQp
256.a1: 1
257.a2: 2
258.a3: 3
259.a4: 4
260.a6: 5
261.b2: 9
262.b4: 11
263.b6: 29
264.b8: 35
265.c4: -183
266.c6: -3429
267.disc: -10351
268.group: [12, [12], [[10, 4]]]
269.j: 6128487/10351
270.p: 11
271.roots: [9 + O(11^2)]~
272.tate: [6 + 8*11 + 5*11^2 + 8*11^4 + O(11^5), Mod(x, x^2 + (5 + 2*11 + 5*11^
2732 + 10*11^3 + 2*11^4 + O(11^5))), 3*11 + 7*11^2 + O(11^5), [6 + 3*11 + O(11^
2745), 6 + 11 + 9*11^2 + 11^3 + 2*11^4 + O(11^5)], 1, [[39, 134943, 48065, 1359
27511], [31719, 92956, 62706, 135911], [2*11 + 2*11^2 + 9*11^3 + 8*11^4 + O(11^
2765), 6*11^2 + 9*11^3 + 2*11^4 + O(11^5), 10*11^4 + O(11^5)], 0]]
277FFELT
278.f: 3
279.mod: x^3 + x^2 + 1
280.p: 2
281.pol: x
282.f: 3
283.mod: x^3 + 2*x + 2
284.p: 3
285.pol: x
286.f: 2
287.mod: x^2 + x + 1
288.p: 18446744073709551629
289.pol: x
290INTMOD
291.mod: 3
292POLMOD
293.mod: x^2 + 1
294.pol: x
295QFB
296QUAD
297.disc: -4
298.fu: []
299.mod: w^2 + 1
300.pol: w^2 + 1
301.tu: [4, w]
302.zk: [1, w]
303PRID
304.e: 1
305.f: 1
306.gen: [2, [-1, 1]~]
307.p: 2
308PADIC
309.mod: 9
310.p: 3
311MODPR
312.e: 1
313.f: 1
314.gen: [2, [-1, 1]~]
315.p: 2
316BID
317.bid: [[[4, 1; 0, 1], [0, 0]], [2, [2], [3]], [Mat([[2, [-1, 1]~, 1, 1, [0,
318276; 1, -1]], 2]), Mat([[2, [-1, 1]~, 1, 1, [0, 276; 1, -1]], 2])], [[[[2],
319[3], [4, 1; 0, 1], [[[0, -1]~, [1, 1], [2, [-1, 1]~, 1, 1, [0, 276; 1, -1]]]
320~, 1, [1, matrix(0,2)]], [1, 1, [[[2], [3], Mat([1, -1]), 2]]], [[0]~, Mat(1
321)]]], [[], Vecsmall([])]], [Mat(1)]]
322.clgp: [2, [2], [3]]
323.cyc: [2]
324.gen: [3]
325.mod: [[4, 1; 0, 1], [0, 0]]
326.no: 2
327.zkst: [2, [2], [3]]
328BID (nogen)
329.bid: [[[4, 1; 0, 1], [0, 0]], [2, [2]], [Mat([[2, [-1, 1]~, 1, 1, [0, 276;
3301, -1]], 2]), Mat([[2, [-1, 1]~, 1, 1, [0, 276; 1, -1]], 2])], [[[[2], [3],
331[4, 1; 0, 1], [[[0, -1]~, [1, 1], [2, [-1, 1]~, 1, 1, [0, 276; 1, -1]]]~, 1,
332 [1, matrix(0,2)]], [1, 1, [[[2], [3], Mat([1, -1]), 2]]], [[0]~, Mat(1)]]],
333 [[], Vecsmall([])]], [Mat(1)]]
334.clgp: [2, [2]]
335.cyc: [2]
336.mod: [[4, 1; 0, 1], [0, 0]]
337.no: 2
338.zkst: [2, [2]]
339
340[1/3   0   0]
341
342[  0 1/6   0]
343
344[  0   0 1/6]
345
346MF
347.mod: t^2 + t + 1
348.mod: Mod(1, t^2 + t + 1)*y^2 + Mod(-2*t, t^2 + t + 1)
349Total time spent: 59
350