Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(16,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([7, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.p (of order \(14\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 16.11 | ||
Character | \(\chi\) | \(=\) | 731.16 |
Dual form | 731.2.p.a.594.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.473651 | − | 2.07520i | −0.334922 | − | 1.46739i | −0.809471 | − | 0.587160i | \(-0.800246\pi\) |
0.474548 | − | 0.880229i | \(-0.342611\pi\) | |||||||
\(3\) | −3.20126 | − | 0.730666i | −1.84825 | − | 0.421850i | −0.853227 | − | 0.521540i | \(-0.825358\pi\) |
−0.995019 | + | 0.0996898i | \(0.968215\pi\) | |||||||
\(4\) | −2.28018 | + | 1.09808i | −1.14009 | + | 0.549039i | ||||
\(5\) | −0.606394 | + | 0.483583i | −0.271188 | + | 0.216265i | −0.749635 | − | 0.661851i | \(-0.769771\pi\) |
0.478448 | + | 0.878116i | \(0.341200\pi\) | |||||||
\(6\) | 6.98933i | 2.85338i | ||||||||
\(7\) | 4.01427i | 1.51725i | 0.651528 | + | 0.758625i | \(0.274128\pi\) | ||||
−0.651528 | + | 0.758625i | \(0.725872\pi\) | |||||||
\(8\) | 0.704462 | + | 0.883367i | 0.249065 | + | 0.312317i | ||||
\(9\) | 7.01126 | + | 3.37644i | 2.33709 | + | 1.12548i | ||||
\(10\) | 1.29075 | + | 1.02934i | 0.408172 | + | 0.325506i | ||||
\(11\) | −0.0655147 | + | 0.136043i | −0.0197534 | + | 0.0410184i | −0.910612 | − | 0.413262i | \(-0.864389\pi\) |
0.890859 | + | 0.454281i | \(0.150104\pi\) | |||||||
\(12\) | 8.10177 | − | 1.84918i | 2.33878 | − | 0.533811i | ||||
\(13\) | −2.82091 | − | 3.53732i | −0.782381 | − | 0.981075i | −0.999987 | − | 0.00503814i | \(-0.998396\pi\) |
0.217606 | − | 0.976037i | \(-0.430175\pi\) | |||||||
\(14\) | 8.33041 | − | 1.90136i | 2.22640 | − | 0.508161i | ||||
\(15\) | 2.29456 | − | 1.10500i | 0.592453 | − | 0.285310i | ||||
\(16\) | −1.65637 | + | 2.07703i | −0.414093 | + | 0.519257i | ||||
\(17\) | −3.20415 | + | 2.59488i | −0.777121 | + | 0.629351i | ||||
\(18\) | 3.68591 | − | 16.1490i | 0.868778 | − | 3.80636i | ||||
\(19\) | 5.48249 | − | 2.64023i | 1.25777 | − | 0.605710i | 0.318186 | − | 0.948028i | \(-0.396926\pi\) |
0.939584 | + | 0.342318i | \(0.111212\pi\) | |||||||
\(20\) | 0.851678 | − | 1.76853i | 0.190441 | − | 0.395455i | ||||
\(21\) | 2.93309 | − | 12.8507i | 0.640052 | − | 2.80425i | ||||
\(22\) | 0.313347 | + | 0.0715195i | 0.0668059 | + | 0.0152480i | ||||
\(23\) | 2.64022 | − | 5.48246i | 0.550523 | − | 1.14317i | −0.421182 | − | 0.906976i | \(-0.638385\pi\) |
0.971705 | − | 0.236197i | \(-0.0759010\pi\) | |||||||
\(24\) | −1.60972 | − | 3.34261i | −0.328582 | − | 0.682307i | ||||
\(25\) | −0.978743 | + | 4.28815i | −0.195749 | + | 0.857631i | ||||
\(26\) | −6.00452 | + | 7.52942i | −1.17758 | + | 1.47664i | ||||
\(27\) | −12.2761 | − | 9.78990i | −2.36255 | − | 1.88407i | ||||
\(28\) | −4.40798 | − | 9.15326i | −0.833029 | − | 1.72980i | ||||
\(29\) | −3.86077 | + | 0.881195i | −0.716927 | + | 0.163634i | −0.565397 | − | 0.824819i | \(-0.691277\pi\) |
−0.151530 | + | 0.988453i | \(0.548420\pi\) | |||||||
\(30\) | −3.37993 | − | 4.23829i | −0.617087 | − | 0.773803i | ||||
\(31\) | 5.46981 | − | 1.24845i | 0.982406 | − | 0.224228i | 0.298989 | − | 0.954256i | \(-0.403350\pi\) |
0.683417 | + | 0.730029i | \(0.260493\pi\) | |||||||
\(32\) | 7.13075 | + | 3.43399i | 1.26055 | + | 0.607049i | ||||
\(33\) | 0.309131 | − | 0.387638i | 0.0538128 | − | 0.0674791i | ||||
\(34\) | 6.90255 | + | 5.42020i | 1.18378 | + | 0.929556i | ||||
\(35\) | −1.94123 | − | 2.43423i | −0.328128 | − | 0.411460i | ||||
\(36\) | −19.6945 | −3.28242 | ||||||||
\(37\) | 1.77438i | 0.291706i | 0.989306 | + | 0.145853i | \(0.0465926\pi\) | ||||
−0.989306 | + | 0.145853i | \(0.953407\pi\) | |||||||
\(38\) | −8.07580 | − | 10.1267i | −1.31007 | − | 1.64277i | ||||
\(39\) | 6.44587 | + | 13.3850i | 1.03217 | + | 2.14331i | ||||
\(40\) | −0.854363 | − | 0.195003i | −0.135087 | − | 0.0308327i | ||||
\(41\) | 0.498334 | − | 0.113742i | 0.0778268 | − | 0.0177635i | −0.183430 | − | 0.983033i | \(-0.558720\pi\) |
0.261257 | + | 0.965269i | \(0.415863\pi\) | |||||||
\(42\) | −28.0570 | −4.32930 | ||||||||
\(43\) | −5.20221 | + | 3.99212i | −0.793329 | + | 0.608793i | ||||
\(44\) | − | 0.382142i | − | 0.0576101i | ||||||
\(45\) | −5.88438 | + | 1.34307i | −0.877191 | + | 0.200213i | ||||
\(46\) | −12.6278 | − | 2.88220i | −1.86186 | − | 0.424958i | ||||
\(47\) | 6.46678 | − | 3.11424i | 0.943277 | − | 0.454258i | 0.101953 | − | 0.994789i | \(-0.467491\pi\) |
0.841324 | + | 0.540531i | \(0.181777\pi\) | |||||||
\(48\) | 6.82009 | − | 5.43884i | 0.984395 | − | 0.785029i | ||||
\(49\) | −9.11433 | −1.30205 | ||||||||
\(50\) | 9.36237 | 1.32404 | ||||||||
\(51\) | 12.1533 | − | 5.96571i | 1.70180 | − | 0.835366i | ||||
\(52\) | 10.3164 | + | 4.96814i | 1.43063 | + | 0.688957i | ||||
\(53\) | 3.96512 | − | 4.97210i | 0.544651 | − | 0.682970i | −0.430987 | − | 0.902358i | \(-0.641835\pi\) |
0.975638 | + | 0.219388i | \(0.0704060\pi\) | |||||||
\(54\) | −14.5014 | + | 30.1125i | −1.97339 | + | 4.09779i | ||||
\(55\) | −0.0260602 | − | 0.114177i | −0.00351396 | − | 0.0153957i | ||||
\(56\) | −3.54607 | + | 2.82790i | −0.473864 | + | 0.377894i | ||||
\(57\) | −19.4800 | + | 4.44618i | −2.58019 | + | 0.588911i | ||||
\(58\) | 3.65732 | + | 7.59450i | 0.480229 | + | 0.997207i | ||||
\(59\) | 8.70058 | − | 10.9102i | 1.13272 | − | 1.42038i | 0.239423 | − | 0.970915i | \(-0.423042\pi\) |
0.893296 | − | 0.449469i | \(-0.148387\pi\) | |||||||
\(60\) | −4.01864 | + | 5.03921i | −0.518804 | + | 0.650560i | ||||
\(61\) | −6.39017 | − | 1.45851i | −0.818177 | − | 0.186744i | −0.207105 | − | 0.978319i | \(-0.566404\pi\) |
−0.611072 | + | 0.791575i | \(0.709261\pi\) | |||||||
\(62\) | −5.18156 | − | 10.7596i | −0.658059 | − | 1.36647i | ||||
\(63\) | −13.5539 | + | 28.1450i | −1.70764 | + | 3.54594i | ||||
\(64\) | 2.56642 | − | 11.2442i | 0.320803 | − | 1.40553i | ||||
\(65\) | 3.42117 | + | 0.780861i | 0.424344 | + | 0.0968538i | ||||
\(66\) | −0.950848 | − | 0.457904i | −0.117041 | − | 0.0563641i | ||||
\(67\) | −7.90720 | + | 3.80791i | −0.966018 | + | 0.465210i | −0.849274 | − | 0.527952i | \(-0.822960\pi\) |
−0.116744 | + | 0.993162i | \(0.537246\pi\) | |||||||
\(68\) | 4.45667 | − | 9.43521i | 0.540451 | − | 1.14419i | ||||
\(69\) | −12.4579 | + | 15.6217i | −1.49975 | + | 1.88063i | ||||
\(70\) | −4.13205 | + | 5.18143i | −0.493874 | + | 0.619299i | ||||
\(71\) | −3.49429 | − | 7.25598i | −0.414697 | − | 0.861126i | −0.998778 | − | 0.0494308i | \(-0.984259\pi\) |
0.584081 | − | 0.811695i | \(-0.301455\pi\) | |||||||
\(72\) | 1.95652 | + | 8.57209i | 0.230578 | + | 1.01023i | ||||
\(73\) | 0.479123 | − | 0.382088i | 0.0560771 | − | 0.0447200i | −0.595050 | − | 0.803689i | \(-0.702868\pi\) |
0.651127 | + | 0.758969i | \(0.274296\pi\) | |||||||
\(74\) | 3.68219 | − | 0.840437i | 0.428046 | − | 0.0976988i | ||||
\(75\) | 6.26641 | − | 13.0123i | 0.723583 | − | 1.50254i | ||||
\(76\) | −9.60190 | + | 12.0404i | −1.10141 | + | 1.38113i | ||||
\(77\) | −0.546112 | − | 0.262993i | −0.0622352 | − | 0.0299709i | ||||
\(78\) | 24.7235 | − | 19.7163i | 2.79938 | − | 2.23243i | ||||
\(79\) | 5.60983i | 0.631155i | 0.948900 | + | 0.315578i | \(0.102198\pi\) | ||||
−0.948900 | + | 0.315578i | \(0.897802\pi\) | |||||||
\(80\) | − | 2.06049i | − | 0.230370i | ||||||
\(81\) | 17.5901 | + | 22.0573i | 1.95446 | + | 2.45081i | ||||
\(82\) | −0.472074 | − | 0.980271i | −0.0521318 | − | 0.108253i | ||||
\(83\) | 2.74053 | − | 12.0071i | 0.300813 | − | 1.31795i | −0.568091 | − | 0.822965i | \(-0.692318\pi\) |
0.868904 | − | 0.494981i | \(-0.164825\pi\) | |||||||
\(84\) | 7.42309 | + | 32.5227i | 0.809925 | + | 3.54851i | ||||
\(85\) | 0.688140 | − | 3.12300i | 0.0746392 | − | 0.338736i | ||||
\(86\) | 10.7485 | + | 8.90476i | 1.15904 | + | 0.960224i | ||||
\(87\) | 13.0032 | 1.39409 | ||||||||
\(88\) | −0.166328 | + | 0.0379633i | −0.0177307 | + | 0.00404691i | ||||
\(89\) | −0.803417 | + | 3.52000i | −0.0851620 | + | 0.373119i | −0.999493 | − | 0.0318492i | \(-0.989860\pi\) |
0.914331 | + | 0.404968i | \(0.132718\pi\) | |||||||
\(90\) | 5.57429 | + | 11.5751i | 0.587582 | + | 1.22013i | ||||
\(91\) | 14.1997 | − | 11.3239i | 1.48854 | − | 1.18707i | ||||
\(92\) | 15.4002i | 1.60558i | ||||||||
\(93\) | −18.4224 | −1.91032 | ||||||||
\(94\) | −9.52567 | − | 11.9448i | −0.982498 | − | 1.23201i | ||||
\(95\) | −2.04778 | + | 4.25226i | −0.210098 | + | 0.436273i | ||||
\(96\) | −20.3182 | − | 16.2033i | −2.07372 | − | 1.65374i | ||||
\(97\) | 7.83533 | − | 16.2702i | 0.795557 | − | 1.65199i | 0.0379501 | − | 0.999280i | \(-0.487917\pi\) |
0.757607 | − | 0.652711i | \(-0.226369\pi\) | |||||||
\(98\) | 4.31701 | + | 18.9141i | 0.436084 | + | 1.91061i | ||||
\(99\) | −0.918681 | + | 0.732624i | −0.0923309 | + | 0.0736314i | ||||
\(100\) | −2.47701 | − | 10.8525i | −0.247701 | − | 1.08525i | ||||
\(101\) | 1.68272 | − | 0.810355i | 0.167437 | − | 0.0806333i | −0.348288 | − | 0.937388i | \(-0.613237\pi\) |
0.515725 | + | 0.856754i | \(0.327523\pi\) | |||||||
\(102\) | −18.1365 | − | 22.3949i | −1.79578 | − | 2.21743i | ||||
\(103\) | 3.12524 | − | 3.91893i | 0.307939 | − | 0.386144i | −0.603647 | − | 0.797251i | \(-0.706287\pi\) |
0.911587 | + | 0.411108i | \(0.134858\pi\) | |||||||
\(104\) | 1.13752 | − | 4.98381i | 0.111543 | − | 0.488703i | ||||
\(105\) | 4.43577 | + | 9.21098i | 0.432887 | + | 0.898899i | ||||
\(106\) | −12.1962 | − | 5.87338i | −1.18460 | − | 0.570473i | ||||
\(107\) | 3.83218 | + | 0.874670i | 0.370471 | + | 0.0845575i | 0.403703 | − | 0.914890i | \(-0.367723\pi\) |
−0.0332322 | + | 0.999448i | \(0.510580\pi\) | |||||||
\(108\) | 38.7419 | + | 8.84259i | 3.72794 | + | 0.850879i | ||||
\(109\) | 8.61724 | − | 17.8939i | 0.825382 | − | 1.71392i | 0.134552 | − | 0.990907i | \(-0.457041\pi\) |
0.690830 | − | 0.723017i | \(-0.257245\pi\) | |||||||
\(110\) | −0.224598 | + | 0.108161i | −0.0214146 | + | 0.0103127i | ||||
\(111\) | 1.29648 | − | 5.68024i | 0.123056 | − | 0.539144i | ||||
\(112\) | −8.33774 | − | 6.64912i | −0.787842 | − | 0.628283i | ||||
\(113\) | −10.7098 | − | 8.54077i | −1.00749 | − | 0.803448i | −0.0269261 | − | 0.999637i | \(-0.508572\pi\) |
−0.980566 | + | 0.196189i | \(0.937143\pi\) | |||||||
\(114\) | 18.4534 | + | 38.3190i | 1.72832 | + | 3.58890i | ||||
\(115\) | 1.05022 | + | 4.60130i | 0.0979332 | + | 0.429073i | ||||
\(116\) | 7.83564 | − | 6.24871i | 0.727521 | − | 0.580178i | ||||
\(117\) | −7.83461 | − | 34.3257i | −0.724310 | − | 3.17341i | ||||
\(118\) | −26.7619 | − | 12.8878i | −2.46363 | − | 1.18642i | ||||
\(119\) | −10.4165 | − | 12.8623i | −0.954882 | − | 1.17909i | ||||
\(120\) | 2.59255 | + | 1.24851i | 0.236667 | + | 0.113973i | ||||
\(121\) | 6.84417 | + | 8.58232i | 0.622197 | + | 0.780211i | ||||
\(122\) | 13.9517i | 1.26313i | ||||||||
\(123\) | −1.67840 | −0.151336 | ||||||||
\(124\) | −11.1013 | + | 8.85296i | −0.996923 | + | 0.795019i | ||||
\(125\) | −3.16279 | − | 6.56761i | −0.282889 | − | 0.587425i | ||||
\(126\) | 64.8265 | + | 14.7962i | 5.77520 | + | 1.31815i | ||||
\(127\) | 2.91084 | + | 12.7532i | 0.258295 | + | 1.13166i | 0.923073 | + | 0.384624i | \(0.125669\pi\) |
−0.664778 | + | 0.747041i | \(0.731474\pi\) | |||||||
\(128\) | −8.72060 | −0.770799 | ||||||||
\(129\) | 19.5705 | − | 8.97874i | 1.72309 | − | 0.790534i | ||||
\(130\) | − | 7.46949i | − | 0.655117i | ||||||
\(131\) | 10.4639 | − | 2.38832i | 0.914236 | − | 0.208668i | 0.260573 | − | 0.965454i | \(-0.416089\pi\) |
0.653663 | + | 0.756786i | \(0.273231\pi\) | |||||||
\(132\) | −0.279218 | + | 1.22334i | −0.0243028 | + | 0.106478i | ||||
\(133\) | 10.5986 | + | 22.0082i | 0.919014 | + | 1.90835i | ||||
\(134\) | 11.6474 | + | 14.6054i | 1.00618 | + | 1.26172i | ||||
\(135\) | 12.1784 | 1.04815 | ||||||||
\(136\) | −4.54944 | − | 1.00245i | −0.390111 | − | 0.0859594i | ||||
\(137\) | 2.44948 | + | 3.07155i | 0.209273 | + | 0.262420i | 0.875379 | − | 0.483437i | \(-0.160612\pi\) |
−0.666106 | + | 0.745857i | \(0.732040\pi\) | |||||||
\(138\) | 38.3188 | + | 18.4533i | 3.26191 | + | 1.57085i | ||||
\(139\) | 0.636385 | + | 0.507500i | 0.0539775 | + | 0.0430456i | 0.650107 | − | 0.759843i | \(-0.274724\pi\) |
−0.596129 | + | 0.802888i | \(0.703296\pi\) | |||||||
\(140\) | 7.09934 | + | 3.41886i | 0.600003 | + | 0.288946i | ||||
\(141\) | −22.9773 | + | 5.24441i | −1.93504 | + | 0.441659i | ||||
\(142\) | −13.4025 | + | 10.6882i | −1.12472 | + | 0.896932i | ||||
\(143\) | 0.666037 | − | 0.152019i | 0.0556968 | − | 0.0127124i | ||||
\(144\) | −18.6262 | + | 8.96992i | −1.55219 | + | 0.747493i | ||||
\(145\) | 1.91502 | − | 2.40136i | 0.159034 | − | 0.199422i | ||||
\(146\) | −1.01985 | − | 0.813300i | −0.0844031 | − | 0.0673092i | ||||
\(147\) | 29.1773 | + | 6.65953i | 2.40650 | + | 0.549268i | ||||
\(148\) | −1.94841 | − | 4.04591i | −0.160158 | − | 0.332571i | ||||
\(149\) | −4.53839 | − | 2.18557i | −0.371799 | − | 0.179049i | 0.238648 | − | 0.971106i | \(-0.423296\pi\) |
−0.610447 | + | 0.792057i | \(0.709010\pi\) | |||||||
\(150\) | −29.9713 | − | 6.84076i | −2.44715 | − | 0.558546i | ||||
\(151\) | 1.98986 | − | 8.71815i | 0.161933 | − | 0.709473i | −0.827134 | − | 0.562004i | \(-0.810030\pi\) |
0.989067 | − | 0.147468i | \(-0.0471125\pi\) | |||||||
\(152\) | 6.19450 | + | 2.98311i | 0.502440 | + | 0.241962i | ||||
\(153\) | −31.2266 | + | 7.37473i | −2.52452 | + | 0.596211i | ||||
\(154\) | −0.287098 | + | 1.25786i | −0.0231350 | + | 0.101361i | ||||
\(155\) | −2.71313 | + | 3.40216i | −0.217924 | + | 0.273268i | ||||
\(156\) | −29.3955 | − | 23.4422i | −2.35353 | − | 1.87687i | ||||
\(157\) | −6.83215 | + | 3.29019i | −0.545265 | + | 0.262586i | −0.686175 | − | 0.727437i | \(-0.740711\pi\) |
0.140910 | + | 0.990022i | \(0.454997\pi\) | |||||||
\(158\) | 11.6415 | − | 2.65710i | 0.926151 | − | 0.211388i | ||||
\(159\) | −16.3263 | + | 13.0198i | −1.29476 | + | 1.03254i | ||||
\(160\) | −5.98467 | + | 1.36596i | −0.473129 | + | 0.107989i | ||||
\(161\) | 22.0081 | + | 10.5985i | 1.73448 | + | 0.835281i | ||||
\(162\) | 37.4418 | − | 46.9505i | 2.94171 | − | 3.68878i | ||||
\(163\) | 2.20616 | − | 4.58114i | 0.172800 | − | 0.358822i | −0.796525 | − | 0.604606i | \(-0.793331\pi\) |
0.969325 | + | 0.245783i | \(0.0790451\pi\) | |||||||
\(164\) | −1.01140 | + | 0.806562i | −0.0789768 | + | 0.0629819i | ||||
\(165\) | 0.384552i | 0.0299374i | ||||||||
\(166\) | −26.2151 | −2.03469 | ||||||||
\(167\) | 14.6837 | − | 11.7099i | 1.13626 | − | 0.906138i | 0.139799 | − | 0.990180i | \(-0.455354\pi\) |
0.996462 | + | 0.0840421i | \(0.0267830\pi\) | |||||||
\(168\) | 13.4181 | − | 6.46183i | 1.03523 | − | 0.498541i | ||||
\(169\) | −1.66227 | + | 7.28287i | −0.127867 | + | 0.560221i | ||||
\(170\) | −6.80679 | + | 0.0511821i | −0.522057 | + | 0.00392549i | ||||
\(171\) | 47.3537 | 3.62123 | ||||||||
\(172\) | 7.47831 | − | 14.8152i | 0.570216 | − | 1.12965i | ||||
\(173\) | 14.4261i | 1.09679i | 0.836218 | + | 0.548397i | \(0.184762\pi\) | ||||
−0.836218 | + | 0.548397i | \(0.815238\pi\) | |||||||
\(174\) | −6.15897 | − | 26.9842i | −0.466910 | − | 2.04567i | ||||
\(175\) | −17.2138 | − | 3.92894i | −1.30124 | − | 0.297000i | ||||
\(176\) | −0.174048 | − | 0.361413i | −0.0131193 | − | 0.0272426i | ||||
\(177\) | −35.8245 | + | 28.5691i | −2.69273 | + | 2.14738i | ||||
\(178\) | 7.68525 | 0.576034 | ||||||||
\(179\) | 1.82748 | 0.136592 | 0.0682961 | − | 0.997665i | \(-0.478244\pi\) | ||||
0.0682961 | + | 0.997665i | \(0.478244\pi\) | |||||||
\(180\) | 11.9427 | − | 9.52395i | 0.890153 | − | 0.709873i | ||||
\(181\) | 0.402410 | − | 0.835614i | 0.0299109 | − | 0.0621107i | −0.885478 | − | 0.464681i | \(-0.846169\pi\) |
0.915389 | + | 0.402571i | \(0.131883\pi\) | |||||||
\(182\) | −30.2251 | − | 24.1037i | −2.24043 | − | 1.78669i | ||||
\(183\) | 19.3909 | + | 9.33816i | 1.43342 | + | 0.690296i | ||||
\(184\) | 6.70296 | − | 1.52991i | 0.494149 | − | 0.112786i | ||||
\(185\) | −0.858060 | − | 1.07597i | −0.0630858 | − | 0.0791071i | ||||
\(186\) | 8.72581 | + | 38.2303i | 0.639808 | + | 2.80318i | ||||
\(187\) | −0.143095 | − | 0.605905i | −0.0104642 | − | 0.0443081i | ||||
\(188\) | −11.3258 | + | 14.2021i | −0.826016 | + | 1.03579i | ||||
\(189\) | 39.2993 | − | 49.2797i | 2.85860 | − | 3.58457i | ||||
\(190\) | 9.79424 | + | 2.23547i | 0.710549 | + | 0.162178i | ||||
\(191\) | 5.07059 | − | 2.44187i | 0.366895 | − | 0.176687i | −0.241347 | − | 0.970439i | \(-0.577589\pi\) |
0.608242 | + | 0.793751i | \(0.291875\pi\) | |||||||
\(192\) | −16.4316 | + | 34.1205i | −1.18585 | + | 2.46243i | ||||
\(193\) | −7.16651 | − | 1.63571i | −0.515857 | − | 0.117741i | −0.0433360 | − | 0.999061i | \(-0.513799\pi\) |
−0.472521 | + | 0.881320i | \(0.656656\pi\) | |||||||
\(194\) | −37.4752 | − | 8.55347i | −2.69056 | − | 0.614104i | ||||
\(195\) | −10.3815 | − | 4.99947i | −0.743435 | − | 0.358019i | ||||
\(196\) | 20.7823 | − | 10.0082i | 1.48445 | − | 0.714874i | ||||
\(197\) | 10.8766 | + | 2.48252i | 0.774927 | + | 0.176872i | 0.591656 | − | 0.806190i | \(-0.298474\pi\) |
0.183271 | + | 0.983062i | \(0.441331\pi\) | |||||||
\(198\) | 1.95548 | + | 1.55944i | 0.138970 | + | 0.110825i | ||||
\(199\) | 5.67592 | + | 4.52640i | 0.402356 | + | 0.320868i | 0.803673 | − | 0.595071i | \(-0.202876\pi\) |
−0.401317 | + | 0.915939i | \(0.631448\pi\) | |||||||
\(200\) | −4.47750 | + | 2.15625i | −0.316607 | + | 0.152470i | ||||
\(201\) | 28.0953 | − | 6.41256i | 1.98169 | − | 0.452307i | ||||
\(202\) | −2.47867 | − | 3.10816i | −0.174399 | − | 0.218689i | ||||
\(203\) | −3.53735 | − | 15.4982i | −0.248273 | − | 1.08776i | ||||
\(204\) | −21.1609 | + | 26.9482i | −1.48156 | + | 1.88675i | ||||
\(205\) | −0.247184 | + | 0.309959i | −0.0172641 | + | 0.0216484i | ||||
\(206\) | −9.61285 | − | 4.62930i | −0.669759 | − | 0.322539i | ||||
\(207\) | 37.0224 | − | 29.5244i | 2.57324 | − | 2.05209i | ||||
\(208\) | 12.0196 | 0.833408 | ||||||||
\(209\) | 0.918827i | 0.0635566i | ||||||||
\(210\) | 17.0136 | − | 13.5679i | 1.17405 | − | 0.936275i | ||||
\(211\) | 0.946895 | + | 1.96625i | 0.0651869 | + | 0.135362i | 0.931017 | − | 0.364977i | \(-0.118923\pi\) |
−0.865830 | + | 0.500339i | \(0.833209\pi\) | |||||||
\(212\) | −3.58144 | + | 15.6913i | −0.245974 | + | 1.07768i | ||||
\(213\) | 5.88444 | + | 25.7814i | 0.403195 | + | 1.76651i | ||||
\(214\) | − | 8.36684i | − | 0.571945i | ||||||
\(215\) | 1.22406 | − | 4.93650i | 0.0834804 | − | 0.336667i | ||||
\(216\) | − | 17.7410i | − | 1.20712i | ||||||
\(217\) | 5.01160 | + | 21.9572i | 0.340210 | + | 1.49056i | ||||
\(218\) | −41.2150 | − | 9.40706i | −2.79143 | − | 0.637126i | ||||
\(219\) | −1.81297 | + | 0.873081i | −0.122509 | + | 0.0589974i | ||||
\(220\) | 0.184798 | + | 0.231729i | 0.0124591 | + | 0.0156232i | ||||
\(221\) | 18.2176 | + | 4.01417i | 1.22545 | + | 0.270022i | ||||
\(222\) | −12.4017 | −0.832349 | ||||||||
\(223\) | −14.5944 | − | 18.3008i | −0.977312 | − | 1.22551i | −0.974240 | − | 0.225516i | \(-0.927593\pi\) |
−0.00307281 | − | 0.999995i | \(-0.500978\pi\) | |||||||
\(224\) | −13.7849 | + | 28.6247i | −0.921045 | + | 1.91257i | ||||
\(225\) | −21.3409 | + | 26.7607i | −1.42273 | + | 1.78405i | ||||
\(226\) | −12.6511 | + | 26.2703i | −0.841540 | + | 1.74748i | ||||
\(227\) | 17.7544 | − | 4.05233i | 1.17840 | − | 0.268962i | 0.411915 | − | 0.911222i | \(-0.364860\pi\) |
0.766487 | + | 0.642260i | \(0.222003\pi\) | |||||||
\(228\) | 39.5357 | − | 31.5286i | 2.61831 | − | 2.08803i | ||||
\(229\) | −3.67149 | − | 16.0858i | −0.242619 | − | 1.06298i | −0.938623 | − | 0.344945i | \(-0.887898\pi\) |
0.696004 | − | 0.718038i | \(-0.254959\pi\) | |||||||
\(230\) | 9.05119 | − | 4.35882i | 0.596818 | − | 0.287412i | ||||
\(231\) | 1.55608 | + | 1.24093i | 0.102383 | + | 0.0816475i | ||||
\(232\) | −3.49818 | − | 2.78971i | −0.229667 | − | 0.183153i | ||||
\(233\) | 7.81640 | + | 1.78404i | 0.512069 | + | 0.116876i | 0.470745 | − | 0.882269i | \(-0.343985\pi\) |
0.0413243 | + | 0.999146i | \(0.486842\pi\) | |||||||
\(234\) | −67.5219 | + | 32.5168i | −4.41404 | + | 2.12569i | ||||
\(235\) | −2.41543 | + | 5.01568i | −0.157565 | + | 0.327187i | ||||
\(236\) | −7.85868 | + | 34.4311i | −0.511556 | + | 2.24127i | ||||
\(237\) | 4.09891 | − | 17.9585i | 0.266253 | − | 1.16653i | ||||
\(238\) | −21.7581 | + | 27.7087i | −1.41037 | + | 1.79609i | ||||
\(239\) | 5.01811 | − | 2.41660i | 0.324595 | − | 0.156317i | −0.264489 | − | 0.964389i | \(-0.585203\pi\) |
0.589083 | + | 0.808072i | \(0.299489\pi\) | |||||||
\(240\) | −1.50553 | + | 6.59616i | −0.0971816 | + | 0.425780i | ||||
\(241\) | 11.9472 | + | 9.52756i | 0.769586 | + | 0.613724i | 0.927541 | − | 0.373722i | \(-0.121919\pi\) |
−0.157955 | + | 0.987446i | \(0.550490\pi\) | |||||||
\(242\) | 14.5683 | − | 18.2681i | 0.936486 | − | 1.17432i | ||||
\(243\) | −19.7557 | − | 41.0231i | −1.26733 | − | 2.63163i | ||||
\(244\) | 16.1723 | − | 3.69123i | 1.03533 | − | 0.236306i | ||||
\(245\) | 5.52688 | − | 4.40754i | 0.353099 | − | 0.281587i | ||||
\(246\) | 0.794978 | + | 3.48303i | 0.0506859 | + | 0.222070i | ||||
\(247\) | −24.8050 | − | 11.9454i | −1.57830 | − | 0.760070i | ||||
\(248\) | 4.95611 | + | 3.95236i | 0.314713 | + | 0.250975i | ||||
\(249\) | −17.5463 | + | 36.4353i | −1.11195 | + | 2.30899i | ||||
\(250\) | −12.1311 | + | 9.67419i | −0.767235 | + | 0.611850i | ||||
\(251\) | 5.56854 | 0.351483 | 0.175741 | − | 0.984436i | \(-0.443768\pi\) | ||||
0.175741 | + | 0.984436i | \(0.443768\pi\) | |||||||
\(252\) | − | 79.0591i | − | 4.98026i | ||||||
\(253\) | 0.572876 | + | 0.718364i | 0.0360164 | + | 0.0451632i | ||||
\(254\) | 25.0868 | − | 12.0812i | 1.57408 | − | 0.758039i | ||||
\(255\) | −4.48478 | + | 9.49471i | −0.280848 | + | 0.594582i | ||||
\(256\) | −1.00232 | − | 4.39147i | −0.0626453 | − | 0.274467i | ||||
\(257\) | −4.43316 | −0.276533 | −0.138266 | − | 0.990395i | \(-0.544153\pi\) | ||||
−0.138266 | + | 0.990395i | \(0.544153\pi\) | |||||||
\(258\) | −27.9023 | − | 36.3600i | −1.73712 | − | 2.26367i | ||||
\(259\) | −7.12282 | −0.442591 | ||||||||
\(260\) | −8.65835 | + | 1.97621i | −0.536968 | + | 0.122559i | ||||
\(261\) | −30.0441 | − | 6.85738i | −1.85969 | − | 0.424461i | ||||
\(262\) | −9.91249 | − | 20.5835i | −0.612396 | − | 1.27165i | ||||
\(263\) | 9.50271 | + | 11.9160i | 0.585962 | + | 0.734774i | 0.983117 | − | 0.182978i | \(-0.0585737\pi\) |
−0.397155 | + | 0.917752i | \(0.630002\pi\) | |||||||
\(264\) | 0.560198 | 0.0344778 | ||||||||
\(265\) | 4.93252i | 0.303002i | ||||||||
\(266\) | 40.6514 | − | 32.4184i | 2.49250 | − | 1.98770i | ||||
\(267\) | 5.14389 | − | 10.6814i | 0.314801 | − | 0.653690i | ||||
\(268\) | 13.8485 | − | 17.3654i | 0.845930 | − | 1.06076i | ||||
\(269\) | −2.36143 | + | 4.90355i | −0.143979 | + | 0.298975i | −0.960470 | − | 0.278382i | \(-0.910202\pi\) |
0.816492 | + | 0.577357i | \(0.195916\pi\) | |||||||
\(270\) | −5.76833 | − | 25.2727i | −0.351049 | − | 1.53805i | ||||
\(271\) | 8.48436 | + | 10.6391i | 0.515388 | + | 0.646276i | 0.969623 | − | 0.244606i | \(-0.0786585\pi\) |
−0.454234 | + | 0.890882i | \(0.650087\pi\) | |||||||
\(272\) | −0.0823601 | − | 10.9532i | −0.00499382 | − | 0.664135i | ||||
\(273\) | −53.7309 | + | 25.8754i | −3.25194 | + | 1.56605i | ||||
\(274\) | 5.21389 | − | 6.53802i | 0.314983 | − | 0.394976i | ||||
\(275\) | −0.519250 | − | 0.414088i | −0.0313120 | − | 0.0249705i | ||||
\(276\) | 11.2524 | − | 49.2999i | 0.677314 | − | 2.96751i | ||||
\(277\) | 4.87233 | + | 10.1175i | 0.292750 | + | 0.607901i | 0.994525 | − | 0.104497i | \(-0.0333232\pi\) |
−0.701775 | + | 0.712398i | \(0.747609\pi\) | |||||||
\(278\) | 0.751741 | − | 1.56101i | 0.0450864 | − | 0.0936229i | ||||
\(279\) | 42.5655 | + | 9.71530i | 2.54833 | + | 0.581640i | ||||
\(280\) | 0.782793 | − | 3.42964i | 0.0467808 | − | 0.204960i | ||||
\(281\) | 22.9619 | + | 11.0579i | 1.36979 | + | 0.659657i | 0.966797 | − | 0.255546i | \(-0.0822551\pi\) |
0.402994 | + | 0.915202i | \(0.367969\pi\) | |||||||
\(282\) | 21.7664 | + | 45.1985i | 1.29617 | + | 2.69153i | ||||
\(283\) | 28.9512 | + | 6.60793i | 1.72097 | + | 0.392801i | 0.965092 | − | 0.261909i | \(-0.0843522\pi\) |
0.755880 | + | 0.654710i | \(0.227209\pi\) | |||||||
\(284\) | 15.9353 | + | 12.7079i | 0.945584 | + | 0.754078i | ||||
\(285\) | 9.66245 | − | 12.1163i | 0.572354 | − | 0.717710i | ||||
\(286\) | −0.630939 | − | 1.31016i | −0.0373082 | − | 0.0774713i | ||||
\(287\) | 0.456589 | + | 2.00045i | 0.0269516 | + | 0.118083i | ||||
\(288\) | 38.4008 | + | 48.1531i | 2.26279 | + | 2.83745i | ||||
\(289\) | 3.53320 | − | 16.6288i | 0.207835 | − | 0.978164i | ||||
\(290\) | −5.89035 | − | 2.83664i | −0.345893 | − | 0.166573i | ||||
\(291\) | −36.9710 | + | 46.3601i | −2.16728 | + | 2.71768i | ||||
\(292\) | −0.672925 | + | 1.39734i | −0.0393800 | + | 0.0817733i | ||||
\(293\) | −17.8580 | − | 22.3932i | −1.04328 | − | 1.30823i | −0.949886 | − | 0.312598i | \(-0.898801\pi\) |
−0.0933906 | − | 0.995630i | \(-0.529771\pi\) | |||||||
\(294\) | − | 63.7031i | − | 3.71524i | ||||||
\(295\) | 10.8233i | 0.630158i | ||||||||
\(296\) | −1.56743 | + | 1.24998i | −0.0911049 | + | 0.0726537i | ||||
\(297\) | 2.13611 | − | 1.02870i | 0.123950 | − | 0.0596911i | ||||
\(298\) | −2.38589 | + | 10.4533i | −0.138211 | + | 0.605542i | ||||
\(299\) | −26.8410 | + | 6.12629i | −1.55226 | + | 0.354292i | ||||
\(300\) | 36.5515i | 2.11030i | ||||||||
\(301\) | −16.0254 | − | 20.8830i | −0.923691 | − | 1.20368i | ||||
\(302\) | −19.0344 | −1.09531 | ||||||||
\(303\) | −5.97891 | + | 1.36465i | −0.343479 | + | 0.0783969i | ||||
\(304\) | −3.59723 | + | 15.7605i | −0.206315 | + | 0.903926i | ||||
\(305\) | 4.58028 | − | 2.20575i | 0.262266 | − | 0.126301i | ||||
\(306\) | 30.0946 | + | 61.3085i | 1.72039 | + | 3.50477i | ||||
\(307\) | −6.71337 | −0.383152 | −0.191576 | − | 0.981478i | \(-0.561360\pi\) | ||||
−0.191576 | + | 0.981478i | \(0.561360\pi\) | |||||||
\(308\) | 1.53402 | 0.0874090 | ||||||||
\(309\) | −12.8681 | + | 10.2620i | −0.732042 | + | 0.583784i | ||||
\(310\) | 8.34525 | + | 4.01886i | 0.473978 | + | 0.228256i | ||||
\(311\) | −15.8086 | − | 12.6069i | −0.896423 | − | 0.714874i | 0.0626487 | − | 0.998036i | \(-0.480045\pi\) |
−0.959072 | + | 0.283162i | \(0.908617\pi\) | |||||||
\(312\) | −7.28299 | + | 15.1233i | −0.412318 | + | 0.856188i | ||||
\(313\) | −9.10907 | + | 2.07909i | −0.514875 | + | 0.117517i | −0.472061 | − | 0.881566i | \(-0.656490\pi\) |
−0.0428147 | + | 0.999083i | \(0.513632\pi\) | |||||||
\(314\) | 10.0639 | + | 12.6197i | 0.567937 | + | 0.712170i | ||||
\(315\) | −5.39144 | − | 23.6215i | −0.303773 | − | 1.33092i | ||||
\(316\) | −6.16003 | − | 12.7914i | −0.346529 | − | 0.719574i | ||||
\(317\) | 8.33882 | + | 6.64999i | 0.468355 | + | 0.373501i | 0.829042 | − | 0.559186i | \(-0.188886\pi\) |
−0.360687 | + | 0.932687i | \(0.617458\pi\) | |||||||
\(318\) | 34.7517 | + | 27.7135i | 1.94878 | + | 1.55410i | ||||
\(319\) | 0.133057 | − | 0.582961i | 0.00744976 | − | 0.0326395i | ||||
\(320\) | 3.88126 | + | 8.05953i | 0.216969 | + | 0.450541i | ||||
\(321\) | −11.6287 | − | 5.60008i | −0.649050 | − | 0.312566i | ||||
\(322\) | 11.5699 | − | 50.6912i | 0.644767 | − | 2.82491i | ||||
\(323\) | −10.7157 | + | 22.6861i | −0.596236 | + | 1.26229i | ||||
\(324\) | −64.3293 | − | 30.9794i | −3.57385 | − | 1.72108i | ||||
\(325\) | 17.9295 | − | 8.63440i | 0.994550 | − | 0.478950i | ||||
\(326\) | −10.5517 | − | 2.40837i | −0.584407 | − | 0.133387i | ||||
\(327\) | −40.6604 | + | 50.9866i | −2.24853 | + | 2.81956i | ||||
\(328\) | 0.451533 | + | 0.360086i | 0.0249317 | + | 0.0198824i | ||||
\(329\) | 12.5014 | + | 25.9594i | 0.689223 | + | 1.43119i | ||||
\(330\) | 0.798024 | − | 0.182144i | 0.0439298 | − | 0.0100267i | ||||
\(331\) | −15.3633 | − | 19.2650i | −0.844444 | − | 1.05890i | −0.997499 | − | 0.0706820i | \(-0.977482\pi\) |
0.153054 | − | 0.988218i | \(-0.451089\pi\) | |||||||
\(332\) | 6.93577 | + | 30.3876i | 0.380650 | + | 1.66774i | ||||
\(333\) | −5.99109 | + | 12.4406i | −0.328310 | + | 0.681742i | ||||
\(334\) | −31.2553 | − | 24.9253i | −1.71022 | − | 1.36385i | ||||
\(335\) | 2.95344 | − | 6.13288i | 0.161364 | − | 0.335075i | ||||
\(336\) | 21.8329 | + | 27.3776i | 1.19108 | + | 1.49357i | ||||
\(337\) | − | 11.4554i | − | 0.624018i | −0.950079 | − | 0.312009i | \(-0.898998\pi\) | ||
0.950079 | − | 0.312009i | \(-0.101002\pi\) | |||||||
\(338\) | 15.9008 | 0.864887 | ||||||||
\(339\) | 28.0443 | + | 35.1665i | 1.52316 | + | 1.90998i | ||||
\(340\) | 1.86021 | + | 7.87663i | 0.100884 | + | 0.427170i | ||||
\(341\) | −0.188511 | + | 0.825919i | −0.0102084 | + | 0.0447260i | ||||
\(342\) | −22.4292 | − | 98.2686i | −1.21283 | − | 5.31376i | ||||
\(343\) | − | 8.48747i | − | 0.458280i | ||||||
\(344\) | −7.19127 | − | 1.78316i | −0.387727 | − | 0.0961415i | ||||
\(345\) | − | 15.4973i | − | 0.834346i | ||||||
\(346\) | 29.9370 | − | 6.83293i | 1.60942 | − | 0.367341i | ||||
\(347\) | −19.4361 | − | 4.43616i | −1.04338 | − | 0.238146i | −0.333710 | − | 0.942676i | \(-0.608301\pi\) |
−0.709674 | + | 0.704530i | \(0.751158\pi\) | |||||||
\(348\) | −29.6496 | + | 14.2785i | −1.58938 | + | 0.765407i | ||||
\(349\) | 9.00533 | + | 11.2923i | 0.482044 | + | 0.604464i | 0.962074 | − | 0.272788i | \(-0.0879457\pi\) |
−0.480030 | + | 0.877252i | \(0.659374\pi\) | |||||||
\(350\) | 37.5831i | 2.00890i | ||||||||
\(351\) | 71.0411i | 3.79189i | ||||||||
\(352\) | −0.934338 | + | 0.745110i | −0.0498004 | + | 0.0397145i | ||||
\(353\) | −24.9644 | − | 12.0222i | −1.32872 | − | 0.639878i | −0.371284 | − | 0.928519i | \(-0.621082\pi\) |
−0.957437 | + | 0.288641i | \(0.906797\pi\) | |||||||
\(354\) | 76.2549 | + | 60.8112i | 4.05290 | + | 3.23208i | ||||
\(355\) | 5.62779 | + | 2.71020i | 0.298692 | + | 0.143843i | ||||
\(356\) | −2.03330 | − | 8.90845i | −0.107765 | − | 0.472147i | ||||
\(357\) | 23.9479 | + | 48.7866i | 1.26746 | + | 2.58206i | ||||
\(358\) | −0.865588 | − | 3.79239i | −0.0457478 | − | 0.200434i | ||||
\(359\) | −9.25668 | + | 4.45778i | −0.488549 | + | 0.235273i | −0.661907 | − | 0.749586i | \(-0.730253\pi\) |
0.173358 | + | 0.984859i | \(0.444538\pi\) | |||||||
\(360\) | −5.33174 | − | 4.25192i | −0.281008 | − | 0.224096i | ||||
\(361\) | 11.2406 | − | 14.0953i | 0.591611 | − | 0.741857i | ||||
\(362\) | −1.92467 | − | 0.439293i | −0.101158 | − | 0.0230887i | ||||
\(363\) | −15.6391 | − | 32.4750i | −0.820842 | − | 1.70450i | ||||
\(364\) | −19.9434 | + | 41.4130i | −1.04532 | + | 2.17063i | ||||
\(365\) | −0.105766 | + | 0.463392i | −0.00553605 | + | 0.0242550i | ||||
\(366\) | 10.1940 | − | 44.6630i | 0.532851 | − | 2.33457i | ||||
\(367\) | 11.2852 | − | 23.4340i | 0.589084 | − | 1.22325i | −0.367019 | − | 0.930214i | \(-0.619621\pi\) |
0.956103 | − | 0.293032i | \(-0.0946642\pi\) | |||||||
\(368\) | 7.01404 | + | 14.5648i | 0.365632 | + | 0.759243i | ||||
\(369\) | 3.87799 | + | 0.885126i | 0.201880 | + | 0.0460778i | ||||
\(370\) | −1.82644 | + | 2.29028i | −0.0949521 | + | 0.119066i | ||||
\(371\) | 19.9593 | + | 15.9170i | 1.03624 | + | 0.826371i | ||||
\(372\) | 42.0065 | − | 20.2293i | 2.17794 | − | 1.04884i | ||||
\(373\) | 1.29885 | + | 5.69062i | 0.0672517 | + | 0.294649i | 0.997358 | − | 0.0726410i | \(-0.0231427\pi\) |
−0.930106 | + | 0.367290i | \(0.880286\pi\) | |||||||
\(374\) | −1.18960 | + | 0.583939i | −0.0615126 | + | 0.0301948i | ||||
\(375\) | 5.32618 | + | 23.3355i | 0.275043 | + | 1.20504i | ||||
\(376\) | 7.30661 | + | 3.51868i | 0.376810 | + | 0.181462i | ||||
\(377\) | 14.0080 | + | 11.1710i | 0.721447 | + | 0.575335i | ||||
\(378\) | −120.880 | − | 58.2125i | −6.21737 | − | 2.99413i | ||||
\(379\) | −21.3142 | + | 16.9975i | −1.09484 | + | 0.873102i | −0.992572 | − | 0.121655i | \(-0.961180\pi\) |
−0.102263 | + | 0.994757i | \(0.532608\pi\) | |||||||
\(380\) | − | 11.9446i | − | 0.612743i | ||||||
\(381\) | − | 42.9531i | − | 2.20056i | ||||||
\(382\) | −7.46907 | − | 9.36592i | −0.382151 | − | 0.479202i | ||||
\(383\) | −3.64688 | + | 1.75625i | −0.186347 | + | 0.0897400i | −0.524731 | − | 0.851268i | \(-0.675834\pi\) |
0.338384 | + | 0.941008i | \(0.390120\pi\) | |||||||
\(384\) | 27.9169 | + | 6.37184i | 1.42463 | + | 0.325162i | ||||
\(385\) | 0.458338 | − | 0.104613i | 0.0233591 | − | 0.00533156i | ||||
\(386\) | 15.6467i | 0.796397i | ||||||||
\(387\) | −49.9532 | + | 10.4249i | −2.53926 | + | 0.529925i | ||||
\(388\) | 45.7029i | 2.32021i | ||||||||
\(389\) | 6.00474 | + | 26.3085i | 0.304453 | + | 1.33389i | 0.863329 | + | 0.504642i | \(0.168376\pi\) |
−0.558876 | + | 0.829251i | \(0.688767\pi\) | |||||||
\(390\) | −5.45770 | + | 23.9117i | −0.276361 | + | 1.21082i | ||||
\(391\) | 5.76668 | + | 24.4177i | 0.291634 | + | 1.23486i | ||||
\(392\) | −6.42070 | − | 8.05130i | −0.324294 | − | 0.406652i | ||||
\(393\) | −35.2427 | −1.77776 | ||||||||
\(394\) | − | 23.7470i | − | 1.19636i | ||||||
\(395\) | −2.71282 | − | 3.40177i | −0.136497 | − | 0.171162i | ||||
\(396\) | 1.29028 | − | 2.67930i | 0.0648391 | − | 0.134640i | ||||
\(397\) | 27.1047 | + | 21.6152i | 1.36034 | + | 1.08484i | 0.987615 | + | 0.156898i | \(0.0501494\pi\) |
0.372729 | + | 0.927940i | \(0.378422\pi\) | |||||||
\(398\) | 6.70478 | − | 13.9226i | 0.336080 | − | 0.697878i | ||||
\(399\) | −17.8481 | − | 78.1978i | −0.893525 | − | 3.91479i | ||||
\(400\) | −7.28545 | − | 9.13566i | −0.364272 | − | 0.456783i | ||||
\(401\) | −5.29440 | + | 1.20841i | −0.264390 | + | 0.0603452i | −0.352661 | − | 0.935751i | \(-0.614723\pi\) |
0.0882709 | + | 0.996097i | \(0.471866\pi\) | |||||||
\(402\) | −26.6147 | − | 55.2660i | −1.32742 | − | 2.75642i | ||||
\(403\) | −19.8460 | − | 15.8267i | −0.988600 | − | 0.788382i | ||||
\(404\) | −2.94707 | + | 3.69551i | −0.146622 | + | 0.183859i | ||||
\(405\) | −21.3331 | − | 4.86914i | −1.06005 | − | 0.241950i | ||||
\(406\) | −30.4863 | + | 14.6814i | −1.51301 | + | 0.728628i | ||||
\(407\) | −0.241391 | − | 0.116248i | −0.0119653 | − | 0.00576219i | ||||
\(408\) | 13.8314 | + | 6.53321i | 0.684759 | + | 0.323442i | ||||
\(409\) | −1.04669 | + | 4.58583i | −0.0517552 | + | 0.226755i | −0.994191 | − | 0.107634i | \(-0.965673\pi\) |
0.942435 | + | 0.334388i | \(0.108530\pi\) | |||||||
\(410\) | 0.760306 | + | 0.366144i | 0.0375488 | + | 0.0180826i | ||||
\(411\) | −5.59714 | − | 11.6226i | −0.276086 | − | 0.573299i | ||||
\(412\) | −2.82283 | + | 12.3676i | −0.139071 | + | 0.609310i | ||||
\(413\) | 43.7964 | + | 34.9264i | 2.15508 | + | 1.71862i | ||||
\(414\) | −78.8049 | − | 62.8448i | −3.87305 | − | 3.08865i | ||||
\(415\) | 4.14457 | + | 8.60629i | 0.203449 | + | 0.422466i | ||||
\(416\) | −7.96814 | − | 34.9107i | −0.390670 | − | 1.71164i | ||||
\(417\) | −1.66642 | − | 2.08962i | −0.0816048 | − | 0.102329i | ||||
\(418\) | 1.90675 | − | 0.435204i | 0.0932623 | − | 0.0212865i | ||||
\(419\) | −16.2979 | + | 33.8430i | −0.796205 | + | 1.65334i | −0.0398235 | + | 0.999207i | \(0.512680\pi\) |
−0.756382 | + | 0.654130i | \(0.773035\pi\) | |||||||
\(420\) | −20.2287 | − | 16.1319i | −0.987061 | − | 0.787155i | ||||
\(421\) | −14.4341 | − | 6.95108i | −0.703473 | − | 0.338775i | 0.0477169 | − | 0.998861i | \(-0.484805\pi\) |
−0.751190 | + | 0.660086i | \(0.770520\pi\) | |||||||
\(422\) | 3.63186 | − | 2.89631i | 0.176796 | − | 0.140990i | ||||
\(423\) | 55.8553 | 2.71578 | ||||||||
\(424\) | 7.18546 | 0.348957 | ||||||||
\(425\) | −7.99120 | − | 16.2796i | −0.387630 | − | 0.789678i | ||||
\(426\) | 50.7145 | − | 24.4228i | 2.45712 | − | 1.18329i | ||||
\(427\) | 5.85487 | − | 25.6518i | 0.283337 | − | 1.24138i | ||||
\(428\) | −9.69852 | + | 2.21362i | −0.468796 | + | 0.107000i | ||||
\(429\) | −2.24323 | −0.108304 | ||||||||
\(430\) | −10.8240 | − | 0.201998i | −0.521981 | − | 0.00974123i | ||||
\(431\) | − | 32.0330i | − | 1.54298i | −0.636243 | − | 0.771488i | \(-0.719513\pi\) | ||
0.636243 | − | 0.771488i | \(-0.280487\pi\) | |||||||
\(432\) | 40.6678 | − | 9.28215i | 1.95663 | − | 0.446588i | ||||
\(433\) | −4.97520 | + | 21.7978i | −0.239093 | + | 1.04753i | 0.702738 | + | 0.711448i | \(0.251960\pi\) |
−0.941831 | + | 0.336086i | \(0.890897\pi\) | |||||||
\(434\) | 43.1920 | − | 20.8002i | 2.07328 | − | 0.998440i | ||||
\(435\) | −7.88505 | + | 6.28812i | −0.378059 | + | 0.301492i | ||||
\(436\) | 50.2637i | 2.40720i | ||||||||
\(437\) | − | 37.0283i | − | 1.77131i | ||||||
\(438\) | 2.67054 | + | 3.34875i | 0.127603 | + | 0.160009i | ||||
\(439\) | −9.34021 | + | 19.3951i | −0.445784 | + | 0.925680i | 0.550105 | + | 0.835096i | \(0.314588\pi\) |
−0.995889 | + | 0.0905844i | \(0.971127\pi\) | |||||||
\(440\) | 0.0825021 | − | 0.103454i | 0.00393313 | − | 0.00493199i | ||||
\(441\) | −63.9029 | − | 30.7740i | −3.04299 | − | 1.46543i | ||||
\(442\) | −0.298564 | − | 39.7064i | −0.0142012 | − | 1.88864i | ||||
\(443\) | −7.03486 | − | 8.82144i | −0.334236 | − | 0.419119i | 0.586105 | − | 0.810235i | \(-0.300661\pi\) |
−0.920341 | + | 0.391116i | \(0.872089\pi\) | |||||||
\(444\) | 3.28114 | + | 14.3756i | 0.155716 | + | 0.682236i | ||||
\(445\) | −1.21503 | − | 2.52303i | −0.0575978 | − | 0.119603i | ||||
\(446\) | −31.0652 | + | 38.9545i | −1.47098 | + | 1.84455i | ||||
\(447\) | 12.9316 | + | 10.3126i | 0.611645 | + | 0.487770i | ||||
\(448\) | 45.1374 | + | 10.3023i | 2.13254 | + | 0.486738i | ||||
\(449\) | −5.31664 | − | 11.0401i | −0.250908 | − | 0.521015i | 0.737031 | − | 0.675859i | \(-0.236227\pi\) |
−0.987939 | + | 0.154843i | \(0.950513\pi\) | |||||||
\(450\) | 65.6420 | + | 31.6115i | 3.09439 | + | 1.49018i | ||||
\(451\) | −0.0171745 | + | 0.0752465i | −0.000808717 | + | 0.00354322i | ||||
\(452\) | 33.7987 | + | 7.71433i | 1.58976 | + | 0.362852i | ||||
\(453\) | −12.7401 | + | 26.4551i | −0.598582 | + | 1.24297i | ||||
\(454\) | −16.8188 | − | 34.9246i | −0.789345 | − | 1.63909i | ||||
\(455\) | −3.13458 | + | 13.7335i | −0.146951 | + | 0.643836i | ||||
\(456\) | −17.6505 | − | 14.0758i | −0.826561 | − | 0.659160i | ||||
\(457\) | 13.6854 | − | 17.1610i | 0.640176 | − | 0.802756i | −0.350849 | − | 0.936432i | \(-0.614107\pi\) |
0.991025 | + | 0.133677i | \(0.0426783\pi\) | |||||||
\(458\) | −31.6424 | + | 15.2382i | −1.47855 | + | 0.712033i | ||||
\(459\) | 64.7383 | − | 0.486785i | 3.02172 | − | 0.0227212i | ||||
\(460\) | −7.44727 | − | 9.33858i | −0.347231 | − | 0.435414i | ||||
\(461\) | −4.06919 | − | 17.8283i | −0.189521 | − | 0.830347i | −0.976869 | − | 0.213838i | \(-0.931404\pi\) |
0.787348 | − | 0.616509i | \(-0.211454\pi\) | |||||||
\(462\) | 1.83815 | − | 3.81696i | 0.0855184 | − | 0.177581i | ||||
\(463\) | 7.84803 | − | 9.84112i | 0.364729 | − | 0.457356i | −0.565276 | − | 0.824902i | \(-0.691230\pi\) |
0.930005 | + | 0.367546i | \(0.119802\pi\) | |||||||
\(464\) | 4.56461 | − | 9.47851i | 0.211907 | − | 0.440029i | ||||
\(465\) | 11.1713 | − | 8.90879i | 0.518055 | − | 0.413135i | ||||
\(466\) | − | 17.0656i | − | 0.790550i | ||||||
\(467\) | 15.1264 | 0.699968 | 0.349984 | − | 0.936756i | \(-0.386187\pi\) | ||||
0.349984 | + | 0.936756i | \(0.386187\pi\) | |||||||
\(468\) | 55.5566 | + | 69.6658i | 2.56811 | + | 3.22030i | ||||
\(469\) | −15.2859 | − | 31.7416i | −0.705839 | − | 1.46569i | ||||
\(470\) | 11.5526 | + | 2.63681i | 0.532883 | + | 0.121627i | ||||
\(471\) | 24.2755 | − | 5.54072i | 1.11855 | − | 0.255303i | ||||
\(472\) | 15.7669 | 0.725731 | ||||||||
\(473\) | −0.202278 | − | 0.969265i | −0.00930077 | − | 0.0445669i | ||||
\(474\) | −39.2090 | −1.80093 | ||||||||
\(475\) | 5.95576 | + | 26.0939i | 0.273269 | + | 1.19727i | ||||
\(476\) | 37.8754 | + | 17.8903i | 1.73602 | + | 0.819999i | ||||
\(477\) | 44.5885 | − | 21.4727i | 2.04157 | − | 0.983166i | ||||
\(478\) | −7.39176 | − | 9.26897i | −0.338091 | − | 0.423953i | ||||
\(479\) | − | 16.7996i | − | 0.767593i | −0.923418 | − | 0.383797i | \(-0.874616\pi\) | ||
0.923418 | − | 0.383797i | \(-0.125384\pi\) | |||||||
\(480\) | 20.1565 | 0.920014 | ||||||||
\(481\) | 6.27654 | − | 5.00537i | 0.286185 | − | 0.228225i | ||||
\(482\) | 14.1128 | − | 29.3056i | 0.642821 | − | 1.33483i | ||||
\(483\) | −62.7095 | − | 50.0091i | −2.85338 | − | 2.27549i | ||||
\(484\) | −25.0300 | − | 12.0538i | −1.13773 | − | 0.547901i | ||||
\(485\) | 3.11671 | + | 13.6552i | 0.141523 | + | 0.620051i | ||||
\(486\) | −75.7740 | + | 60.4277i | −3.43718 | + | 2.74106i | ||||
\(487\) | −15.6474 | + | 3.57142i | −0.709053 | + | 0.161837i | −0.561813 | − | 0.827264i | \(-0.689896\pi\) |
−0.147240 | + | 0.989101i | \(0.547039\pi\) | |||||||
\(488\) | −3.21323 | − | 6.67233i | −0.145456 | − | 0.302042i | ||||
\(489\) | −10.4098 | + | 13.0534i | −0.470746 | + | 0.590296i | ||||
\(490\) | −11.7643 | − | 9.38175i | −0.531459 | − | 0.423824i | ||||
\(491\) | 7.01082 | − | 30.7164i | 0.316394 | − | 1.38621i | −0.527433 | − | 0.849596i | \(-0.676846\pi\) |
0.843827 | − | 0.536615i | \(-0.180297\pi\) | |||||||
\(492\) | 3.82706 | − | 1.84302i | 0.172537 | − | 0.0830896i | ||||
\(493\) | 10.0839 | − | 12.8417i | 0.454156 | − | 0.578362i | ||||
\(494\) | −13.0403 | + | 57.1333i | −0.586711 | + | 2.57055i | ||||
\(495\) | 0.202798 | − | 0.888518i | 0.00911511 | − | 0.0399359i | ||||
\(496\) | −6.46698 | + | 13.4288i | −0.290376 | + | 0.602972i | ||||
\(497\) | 29.1274 | − | 14.0270i | 1.30654 | − | 0.629198i | ||||
\(498\) | 83.9214 | + | 19.1545i | 3.76061 | + | 0.858334i | ||||
\(499\) | −11.2809 | − | 8.99622i | −0.505003 | − | 0.402726i | 0.337577 | − | 0.941298i | \(-0.390393\pi\) |
−0.842580 | + | 0.538572i | \(0.818964\pi\) | |||||||
\(500\) | 14.4235 | + | 11.5024i | 0.645038 | + | 0.514401i | ||||
\(501\) | −55.5624 | + | 26.7574i | −2.48234 | + | 1.19543i | ||||
\(502\) | −2.63755 | − | 11.5558i | −0.117719 | − | 0.515762i | ||||
\(503\) | 24.9087 | − | 19.8640i | 1.11062 | − | 0.885691i | 0.116418 | − | 0.993200i | \(-0.462859\pi\) |
0.994204 | + | 0.107509i | \(0.0342874\pi\) | |||||||
\(504\) | −34.4106 | + | 7.85400i | −1.53277 | + | 0.349845i | ||||
\(505\) | −0.628517 | + | 1.30513i | −0.0279686 | + | 0.0580775i | ||||
\(506\) | 1.21941 | − | 1.52909i | 0.0542093 | − | 0.0679763i | ||||
\(507\) | 10.6427 | − | 22.0998i | 0.472658 | − | 0.981485i | ||||
\(508\) | −20.6413 | − | 25.8833i | −0.915808 | − | 1.14839i | ||||
\(509\) | −16.5408 | −0.733158 | −0.366579 | − | 0.930387i | \(-0.619471\pi\) | ||||
−0.366579 | + | 0.930387i | \(0.619471\pi\) | |||||||
\(510\) | 21.8277 | + | 4.80964i | 0.966545 | + | 0.212974i | ||||
\(511\) | 1.53380 | + | 1.92333i | 0.0678514 | + | 0.0850829i | ||||
\(512\) | −24.3524 | + | 11.7275i | −1.07623 | + | 0.518287i | ||||
\(513\) | −93.1515 | − | 21.2612i | −4.11274 | − | 0.938706i | ||||
\(514\) | 2.09977 | + | 9.19969i | 0.0926169 | + | 0.405781i | ||||
\(515\) | 3.88773i | 0.171314i | ||||||||
\(516\) | −34.7649 | + | 41.9631i | −1.53044 | + | 1.84732i | ||||
\(517\) | 1.08379i | 0.0476649i | ||||||||
\(518\) | 3.37374 | + | 14.7813i | 0.148233 | + | 0.649453i | ||||
\(519\) | 10.5406 | − | 46.1816i | 0.462683 | − | 2.02715i | ||||
\(520\) | 1.72030 | + | 3.57224i | 0.0754401 | + | 0.156653i | ||||
\(521\) | −2.58296 | + | 2.05984i | −0.113162 | + | 0.0902433i | −0.678436 | − | 0.734660i | \(-0.737342\pi\) |
0.565274 | + | 0.824903i | \(0.308770\pi\) | |||||||
\(522\) | 65.5957i | 2.87105i | ||||||||
\(523\) | 29.6312 | 1.29568 | 0.647840 | − | 0.761776i | \(-0.275672\pi\) | ||||
0.647840 | + | 0.761776i | \(0.275672\pi\) | |||||||
\(524\) | −21.2371 | + | 16.9360i | −0.927745 | + | 0.739852i | ||||
\(525\) | 52.2350 | + | 25.1551i | 2.27972 | + | 1.09786i | ||||
\(526\) | 20.2272 | − | 25.3641i | 0.881948 | − | 1.10593i | ||||
\(527\) | −14.2865 | + | 18.1937i | −0.622331 | + | 0.792530i | ||||
\(528\) | 0.293098 | + | 1.28415i | 0.0127555 | + | 0.0558853i | ||||
\(529\) | −8.74640 | − | 10.9676i | −0.380278 | − | 0.476854i | ||||
\(530\) | 10.2360 | − | 2.33629i | 0.444622 | − | 0.101482i | ||||
\(531\) | 97.8396 | − | 47.1171i | 4.24588 | − | 2.04471i | ||||
\(532\) | −48.3334 | − | 38.5446i | −2.09552 | − | 1.67112i | ||||
\(533\) | −1.80810 | − | 1.44191i | −0.0783175 | − | 0.0624561i | ||||
\(534\) | −24.6025 | − | 5.61535i | −1.06465 | − | 0.243000i | ||||
\(535\) | −2.74679 | + | 1.32278i | −0.118754 | + | 0.0571889i | ||||
\(536\) | −8.93410 | − | 4.30243i | −0.385894 | − | 0.185837i | ||||
\(537\) | −5.85023 | − | 1.33528i | −0.252456 | − | 0.0576214i | ||||
\(538\) | 11.2944 | + | 2.57786i | 0.486934 | + | 0.111140i | ||||
\(539\) | 0.597123 | − | 1.23994i | 0.0257199 | − | 0.0534079i | ||||
\(540\) | −27.7690 | + | 13.3729i | −1.19499 | + | 0.575476i | ||||
\(541\) | 27.4353 | + | 6.26192i | 1.17953 | + | 0.269221i | 0.766955 | − | 0.641701i | \(-0.221771\pi\) |
0.412579 | + | 0.910922i | \(0.364628\pi\) | |||||||
\(542\) | 18.0596 | − | 22.6460i | 0.775725 | − | 0.972728i | ||||
\(543\) | −1.89877 | + | 2.38099i | −0.0814841 | + | 0.102178i | ||||
\(544\) | −31.7588 | + | 7.50041i | −1.36165 | + | 0.321578i | ||||
\(545\) | 3.42774 | + | 15.0179i | 0.146828 | + | 0.643296i | ||||
\(546\) | 79.1465 | + | 99.2466i | 3.38716 | + | 4.24736i | ||||
\(547\) | −7.70448 | + | 1.75850i | −0.329420 | + | 0.0751879i | −0.384032 | − | 0.923320i | \(-0.625465\pi\) |
0.0546123 | + | 0.998508i | \(0.482608\pi\) | |||||||
\(548\) | −8.95807 | − | 4.31398i | −0.382670 | − | 0.184284i | ||||
\(549\) | −39.8785 | − | 31.8021i | −1.70197 | − | 1.35728i | ||||
\(550\) | −0.613373 | + | 1.27368i | −0.0261543 | + | 0.0543100i | ||||
\(551\) | −18.8401 | + | 15.0245i | −0.802615 | + | 0.640064i | ||||
\(552\) | −22.5757 | −0.960887 | ||||||||
\(553\) | −22.5193 | −0.957620 | ||||||||
\(554\) | 18.6881 | − | 14.9032i | 0.793980 | − | 0.633178i | ||||
\(555\) | 1.96069 | + | 4.07142i | 0.0832267 | + | 0.172822i | ||||
\(556\) | −2.00835 | − | 0.458392i | −0.0851729 | − | 0.0194402i | ||||
\(557\) | 1.85496 | + | 8.12712i | 0.0785973 | + | 0.344357i | 0.998902 | − | 0.0468447i | \(-0.0149166\pi\) |
−0.920305 | + | 0.391202i | \(0.872059\pi\) | |||||||
\(558\) | − | 92.9337i | − | 3.93420i | ||||||
\(559\) | 28.7964 | + | 7.14040i | 1.21796 | + | 0.302007i | ||||
\(560\) | 8.27136 | 0.349529 | ||||||||
\(561\) | 0.0153710 | + | 2.04421i | 0.000648963 | + | 0.0863066i | ||||
\(562\) | 12.0714 | − | 52.8881i | 0.509200 | − | 2.23095i | ||||
\(563\) | 4.08908 | − | 1.96920i | 0.172334 | − | 0.0829917i | −0.345728 | − | 0.938335i | \(-0.612368\pi\) |
0.518062 | + | 0.855343i | \(0.326654\pi\) | |||||||
\(564\) | 46.6336 | − | 37.1891i | 1.96363 | − | 1.56594i | ||||
\(565\) | 10.6245 | 0.446977 | ||||||||
\(566\) | − | 63.2095i | − | 2.65690i | ||||||
\(567\) | −88.5439 | + | 70.6114i | −3.71849 | + | 2.96540i | ||||
\(568\) | 3.94810 | − | 8.19830i | 0.165658 | − | 0.343993i | ||||
\(569\) | −4.83094 | + | 6.05781i | −0.202524 | + | 0.253956i | −0.872713 | − | 0.488234i | \(-0.837641\pi\) |
0.670189 | + | 0.742190i | \(0.266213\pi\) | |||||||
\(570\) | −29.7205 | − | 14.3126i | −1.24485 | − | 0.599490i | ||||
\(571\) | 5.00628 | − | 1.14265i | 0.209506 | − | 0.0478184i | −0.116480 | − | 0.993193i | \(-0.537161\pi\) |
0.325986 | + | 0.945375i | \(0.394304\pi\) | |||||||
\(572\) | −1.35176 | + | 1.07799i | −0.0565199 | + | 0.0450731i | ||||
\(573\) | −18.0165 | + | 4.11214i | −0.752648 | + | 0.171787i | ||||
\(574\) | 3.93507 | − | 1.89503i | 0.164247 | − | 0.0790970i | ||||
\(575\) | 20.9256 | + | 16.6876i | 0.872656 | + | 0.695920i | ||||
\(576\) | 55.9594 | − | 70.1709i | 2.33164 | − | 2.92379i | ||||
\(577\) | 1.50409 | − | 6.58986i | 0.0626162 | − | 0.274339i | −0.933922 | − | 0.357477i | \(-0.883637\pi\) |
0.996538 | + | 0.0831377i | \(0.0264941\pi\) | |||||||
\(578\) | −36.1816 | + | 0.544150i | −1.50496 | + | 0.0226336i | ||||
\(579\) | 21.7467 | + | 10.4726i | 0.903761 | + | 0.435228i | ||||
\(580\) | −1.72971 | + | 7.57837i | −0.0718224 | + | 0.314675i | ||||
\(581\) | 48.1995 | + | 11.0012i | 1.99965 | + | 0.456408i | ||||
\(582\) | 113.718 | + | 54.7637i | 4.71376 | + | 2.27003i | ||||
\(583\) | 0.416644 | + | 0.865171i | 0.0172556 | + | 0.0358317i | ||||
\(584\) | 0.675047 | + | 0.154075i | 0.0279337 | + | 0.00637567i | ||||
\(585\) | 21.3502 | + | 17.0262i | 0.882722 | + | 0.703947i | ||||
\(586\) | −38.0120 | + | 47.6656i | −1.57026 | + | 1.96905i | ||||
\(587\) | 21.0861 | − | 10.1545i | 0.870316 | − | 0.419122i | 0.0552378 | − | 0.998473i | \(-0.482408\pi\) |
0.815078 | + | 0.579351i | \(0.196694\pi\) | |||||||
\(588\) | −73.8422 | + | 16.8540i | −3.04520 | + | 0.695047i | ||||
\(589\) | 26.6920 | − | 21.2861i | 1.09982 | − | 0.877080i | ||||
\(590\) | 22.4606 | − | 5.12648i | 0.924688 | − | 0.211054i | ||||
\(591\) | −33.0049 | − | 15.8943i | −1.35764 | − | 0.653806i | ||||
\(592\) | −3.68543 | − | 2.93903i | −0.151470 | − | 0.120794i | ||||
\(593\) | −7.63404 | − | 3.67636i | −0.313493 | − | 0.150970i | 0.270521 | − | 0.962714i | \(-0.412804\pi\) |
−0.584013 | + | 0.811744i | \(0.698518\pi\) | |||||||
\(594\) | −3.14653 | − | 3.94562i | −0.129104 | − | 0.161891i | ||||
\(595\) | 12.5365 | + | 2.76238i | 0.513948 | + | 0.113246i | ||||
\(596\) | 12.7483 | 0.522190 | ||||||||
\(597\) | −14.8628 | − | 18.6374i | −0.608294 | − | 0.762776i | ||||
\(598\) | 25.4266 | + | 52.7988i | 1.03977 | + | 2.15911i | ||||
\(599\) | 0.828646 | − | 3.63054i | 0.0338576 | − | 0.148340i | −0.955174 | − | 0.296046i | \(-0.904332\pi\) |
0.989031 | + | 0.147706i | \(0.0471890\pi\) | |||||||
\(600\) | 15.9091 | − | 3.63115i | 0.649487 | − | 0.148241i | ||||
\(601\) | − | 42.9630i | − | 1.75250i | −0.481860 | − | 0.876248i | \(-0.660039\pi\) | ||
0.481860 | − | 0.876248i | \(-0.339961\pi\) | |||||||
\(602\) | −35.7461 | + | 43.1473i | −1.45690 | + | 1.75855i | ||||
\(603\) | −68.2966 | −2.78125 | ||||||||
\(604\) | 5.03596 | + | 22.0640i | 0.204910 | + | 0.897771i | ||||
\(605\) | −8.30054 | − | 1.89454i | −0.337465 | − | 0.0770241i | ||||
\(606\) | 5.66384 | + | 11.7611i | 0.230078 | + | 0.477761i | ||||
\(607\) | −24.2174 | + | 19.3127i | −0.982954 | + | 0.783880i | −0.976372 | − | 0.216099i | \(-0.930667\pi\) |
−0.00658253 | + | 0.999978i | \(0.502095\pi\) | |||||||
\(608\) | 48.1608 | 1.95318 | ||||||||
\(609\) | 52.1982i | 2.11518i | ||||||||
\(610\) | −6.74682 | − | 8.46025i | −0.273171 | − | 0.342545i | ||||
\(611\) | −29.2583 | − | 14.0900i | −1.18366 | − | 0.570022i | ||||
\(612\) | 63.1043 | − | 51.1050i | 2.55084 | − | 2.06580i | ||||
\(613\) | −13.3550 | − | 6.43142i | −0.539403 | − | 0.259763i | 0.144286 | − | 0.989536i | \(-0.453911\pi\) |
−0.683689 | + | 0.729773i | \(0.739626\pi\) | |||||||
\(614\) | 3.17980 | + | 13.9316i | 0.128326 | + | 0.562234i | ||||
\(615\) | 1.01777 | − | 0.811648i | 0.0410406 | − | 0.0327288i | ||||
\(616\) | −0.152395 | − | 0.667686i | −0.00614017 | − | 0.0269018i | ||||
\(617\) | 20.9665 | + | 43.5374i | 0.844079 | + | 1.75275i | 0.631116 | + | 0.775688i | \(0.282597\pi\) |
0.212963 | + | 0.977060i | \(0.431689\pi\) | |||||||
\(618\) | 27.3907 | + | 21.8434i | 1.10182 | + | 0.878669i | ||||
\(619\) | 5.23463 | + | 4.17448i | 0.210397 | + | 0.167786i | 0.723019 | − | 0.690829i | \(-0.242754\pi\) |
−0.512621 | + | 0.858615i | \(0.671325\pi\) | |||||||
\(620\) | 2.45060 | − | 10.7368i | 0.0984184 | − | 0.431199i | ||||
\(621\) | −86.0844 | + | 41.4561i | −3.45445 | + | 1.66358i | ||||
\(622\) | −18.6742 | + | 38.7773i | −0.748767 | + | 1.55483i | ||||
\(623\) | −14.1302 | − | 3.22513i | −0.566115 | − | 0.129212i | ||||
\(624\) | −38.4778 | − | 8.78230i | −1.54034 | − | 0.351573i | ||||
\(625\) | −14.7204 | − | 7.08896i | −0.588815 | − | 0.283558i | ||||
\(626\) | 8.62905 | + | 17.9184i | 0.344886 | + | 0.716164i | ||||
\(627\) | 0.671355 | − | 2.94140i | 0.0268114 | − | 0.117468i | ||||
\(628\) | 11.9657 | − | 15.0045i | 0.477482 | − | 0.598743i | ||||
\(629\) | −4.60430 | − | 5.68538i | −0.183585 | − | 0.226691i | ||||
\(630\) | −46.4656 | + | 22.3767i | −1.85124 | + | 0.891508i | ||||
\(631\) | 6.37119 | + | 27.9140i | 0.253633 | + | 1.11124i | 0.927923 | + | 0.372772i | \(0.121593\pi\) |
−0.674290 | + | 0.738467i | \(0.735550\pi\) | |||||||
\(632\) | −4.95554 | + | 3.95191i | −0.197121 | + | 0.157199i | ||||
\(633\) | −1.59458 | − | 6.98632i | −0.0633790 | − | 0.277681i | ||||
\(634\) | 9.85038 | − | 20.4545i | 0.391209 | − | 0.812353i | ||||
\(635\) | −7.93236 | − | 6.32584i | −0.314786 | − | 0.251033i | ||||
\(636\) | 22.9302 | − | 47.6150i | 0.909241 | − | 1.88806i | ||||
\(637\) | 25.7107 | + | 32.2402i | 1.01870 | + | 1.27741i | ||||
\(638\) | −1.27278 | −0.0503900 | ||||||||
\(639\) | − | 62.6718i | − | 2.47926i | ||||||
\(640\) | 5.28812 | − | 4.21714i | 0.209031 | − | 0.166697i | ||||
\(641\) | −11.7074 | − | 24.3107i | −0.462415 | − | 0.960215i | −0.993600 | − | 0.112959i | \(-0.963967\pi\) |
0.531184 | − | 0.847256i | \(-0.321747\pi\) | |||||||
\(642\) | −6.11336 | + | 26.7844i | −0.241275 | + | 1.05709i | ||||
\(643\) | 21.8652 | − | 4.99059i | 0.862280 | − | 0.196810i | 0.231560 | − | 0.972821i | \(-0.425617\pi\) |
0.630720 | + | 0.776011i | \(0.282760\pi\) | |||||||
\(644\) | −61.8204 | −2.43607 | ||||||||
\(645\) | −7.52547 | + | 14.9086i | −0.296315 | + | 0.587026i | ||||
\(646\) | 52.1538 | + | 11.4919i | 2.05196 | + | 0.452142i | ||||
\(647\) | −0.397220 | − | 1.74033i | −0.0156163 | − | 0.0684196i | 0.966519 | − | 0.256594i | \(-0.0826002\pi\) |
−0.982136 | + | 0.188174i | \(0.939743\pi\) | |||||||
\(648\) | −7.09314 | + | 31.0771i | −0.278645 | + | 1.22082i | ||||
\(649\) | 0.914234 | + | 1.89843i | 0.0358868 | + | 0.0745198i | ||||
\(650\) | −26.4105 | − | 33.1177i | −1.03590 | − | 1.29898i | ||||
\(651\) | − | 73.9526i | − | 2.89843i | ||||||
\(652\) | 12.8684i | 0.503964i | ||||||||
\(653\) | 8.74479 | − | 6.97374i | 0.342210 | − | 0.272904i | −0.437270 | − | 0.899330i | \(-0.644055\pi\) |
0.779480 | + | 0.626427i | \(0.215483\pi\) | |||||||
\(654\) | 125.066 | + | 60.2288i | 4.89048 | + | 2.35513i | ||||
\(655\) | −5.19031 | + | 6.50844i | −0.202802 | + | 0.254306i | ||||
\(656\) | −0.589184 | + | 1.22345i | −0.0230038 | + | 0.0477678i | ||||
\(657\) | 4.64935 | − | 1.06118i | 0.181388 | − | 0.0414007i | ||||
\(658\) | 47.9497 | − | 38.2386i | 1.86927 | − | 1.49069i | ||||
\(659\) | 10.4534 | + | 45.7991i | 0.407205 | + | 1.78408i | 0.596983 | + | 0.802254i | \(0.296366\pi\) |
−0.189778 | + | 0.981827i | \(0.560777\pi\) | |||||||
\(660\) | −0.422268 | − | 0.876849i | −0.0164368 | − | 0.0341313i | ||||
\(661\) | 1.79866 | − | 2.25545i | 0.0699597 | − | 0.0877267i | −0.745620 | − | 0.666371i | \(-0.767847\pi\) |
0.815580 | + | 0.578644i | \(0.196418\pi\) | |||||||
\(662\) | −32.7019 | + | 41.0069i | −1.27100 | + | 1.59378i | ||||
\(663\) | −55.3860 | − | 26.1613i | −2.15101 | − | 1.01602i | ||||
\(664\) | 12.5372 | − | 6.03762i | 0.486539 | − | 0.234305i | ||||
\(665\) | −17.0697 | − | 8.22034i | −0.661935 | − | 0.318771i | ||||
\(666\) | 28.6545 | + | 6.54020i | 1.11034 | + | 0.253428i | ||||
\(667\) | −5.36214 | + | 23.4931i | −0.207623 | + | 0.909655i | ||||
\(668\) | −20.6232 | + | 42.8245i | −0.797936 | + | 1.65693i | ||||
\(669\) | 33.3486 | + | 69.2491i | 1.28933 | + | 2.67732i | ||||
\(670\) | −14.1259 | − | 3.22414i | −0.545730 | − | 0.124559i | ||||
\(671\) | 0.617071 | − | 0.773782i | 0.0238217 | − | 0.0298715i | ||||
\(672\) | 65.0442 | − | 81.5628i | 2.50913 | − | 3.14636i | ||||
\(673\) | 9.39263 | + | 19.5040i | 0.362059 | + | 0.751824i | 0.999831 | − | 0.0184019i | \(-0.00585783\pi\) |
−0.637771 | + | 0.770226i | \(0.720144\pi\) | |||||||
\(674\) | −23.7724 | + | 5.42589i | −0.915678 | + | 0.208997i | ||||
\(675\) | 53.9958 | − | 43.0602i | 2.07830 | − | 1.65739i | ||||
\(676\) | −4.20688 | − | 18.4316i | −0.161803 | − | 0.708906i | ||||
\(677\) | −8.62718 | + | 17.9145i | −0.331569 | + | 0.688511i | −0.998391 | − | 0.0567066i | \(-0.981940\pi\) |
0.666822 | + | 0.745217i | \(0.267654\pi\) | |||||||
\(678\) | 59.6943 | − | 74.8543i | 2.29255 | − | 2.87476i | ||||
\(679\) | 65.3130 | + | 31.4531i | 2.50648 | + | 1.20706i | ||||
\(680\) | 3.24352 | − | 1.59215i | 0.124383 | − | 0.0610562i | ||||
\(681\) | −59.7973 | −2.29144 | ||||||||
\(682\) | 1.80324 | 0.0690495 | ||||||||
\(683\) | 16.8660 | − | 13.4502i | 0.645361 | − | 0.514658i | −0.245229 | − | 0.969465i | \(-0.578863\pi\) |
0.890590 | + | 0.454807i | \(0.150292\pi\) | |||||||
\(684\) | −107.975 | + | 51.9981i | −4.12853 | + | 1.98820i | ||||
\(685\) | −2.97070 | − | 0.678044i | −0.113505 | − | 0.0259067i | ||||
\(686\) | −17.6132 | + | 4.02010i | −0.672476 | + | 0.153488i | ||||
\(687\) | 54.1775i | 2.06700i | ||||||||
\(688\) | 0.325048 | − | 17.4176i | 0.0123923 | − | 0.664039i | ||||
\(689\) | −28.7731 | −1.09617 | ||||||||
\(690\) | −32.1600 | + | 7.34031i | −1.22431 | + | 0.279441i | ||||
\(691\) | 1.03348 | + | 0.235885i | 0.0393154 | + | 0.00897349i | 0.242133 | − | 0.970243i | \(-0.422153\pi\) |
−0.202818 | + | 0.979216i | \(0.565010\pi\) | |||||||
\(692\) | −15.8410 | − | 32.8941i | −0.602183 | − | 1.25045i | ||||
\(693\) | −2.94095 | − | 3.68783i | −0.111717 | − | 0.140089i | ||||
\(694\) | 42.4350i | 1.61081i | ||||||||
\(695\) | −0.631319 | −0.0239473 | ||||||||
\(696\) | 9.16023 | + | 11.4866i | 0.347218 | + | 0.435397i | ||||
\(697\) | −1.30159 | + | 1.65756i | −0.0493014 | + | 0.0627847i | ||||
\(698\) | 19.1685 | − | 24.0365i | 0.725537 | − | 0.909795i | ||||
\(699\) | −23.7187 | − | 11.4223i | −0.897125 | − | 0.432033i | ||||
\(700\) | 43.5649 | − | 9.94339i | 1.64660 | − | 0.375825i | ||||
\(701\) | −8.75786 | − | 10.9820i | −0.330780 | − | 0.414785i | 0.588433 | − | 0.808546i | \(-0.299745\pi\) |
−0.919213 | + | 0.393761i | \(0.871174\pi\) | |||||||
\(702\) | 147.425 | − | 33.6487i | 5.56418 | − | 1.26999i | ||||
\(703\) | 4.68477 | + | 9.72802i | 0.176689 | + | 0.366899i | ||||
\(704\) | 1.36156 | + | 1.08581i | 0.0513157 | + | 0.0409229i | ||||
\(705\) | 11.3972 | − | 14.2916i | 0.429243 | − | 0.538253i | ||||
\(706\) | −13.1241 | + | 57.5005i | −0.493933 | + | 2.16406i | ||||
\(707\) | 3.25298 | + | 6.75488i | 0.122341 | + | 0.254043i | ||||
\(708\) | 50.3152 | − | 104.481i | 1.89096 | − | 3.92662i | ||||
\(709\) | 24.1644 | + | 5.51537i | 0.907513 | + | 0.207134i | 0.650707 | − | 0.759329i | \(-0.274473\pi\) |
0.256806 | + | 0.966463i | \(0.417330\pi\) | |||||||
\(710\) | 2.95861 | − | 12.9625i | 0.111034 | − | 0.486474i | ||||
\(711\) | −18.9413 | + | 39.3320i | −0.710353 | + | 1.47506i | ||||
\(712\) | −3.67543 | + | 1.76999i | −0.137743 | + | 0.0663333i | ||||
\(713\) | 7.59690 | − | 33.2842i | 0.284506 | − | 1.24650i | ||||
\(714\) | 89.8991 | − | 72.8047i | 3.36439 | − | 2.72465i | ||||
\(715\) | −0.330368 | + | 0.414268i | −0.0123551 | + | 0.0154927i | ||||
\(716\) | −4.16699 | + | 2.00671i | −0.155728 | + | 0.0749944i | ||||
\(717\) | −17.8300 | + | 4.06958i | −0.665873 | + | 0.151981i | ||||
\(718\) | 13.6352 | + | 17.0980i | 0.508863 | + | 0.638094i | ||||
\(719\) | −44.9927 | + | 10.2693i | −1.67795 | + | 0.382980i | −0.952318 | − | 0.305107i | \(-0.901308\pi\) |
−0.725628 | + | 0.688088i | \(0.758450\pi\) | |||||||
\(720\) | 6.95713 | − | 14.4466i | 0.259277 | − | 0.538394i | ||||
\(721\) | 15.7316 | + | 12.5456i | 0.585876 | + | 0.467221i | ||||
\(722\) | −34.5747 | − | 16.6503i | −1.28674 | − | 0.619660i | ||||
\(723\) | −31.2845 | − | 39.2295i | −1.16348 | − | 1.45896i | ||||
\(724\) | 2.34723i | 0.0872341i | ||||||||
\(725\) | − | 17.4180i | − | 0.646890i | ||||||
\(726\) | −59.9847 | + | 47.8362i | −2.22624 | + | 1.77537i | ||||
\(727\) | 16.0101 | − | 7.71006i | 0.593782 | − | 0.285950i | −0.112759 | − | 0.993622i | \(-0.535969\pi\) |
0.706541 | + | 0.707672i | \(0.250255\pi\) | |||||||
\(728\) | 20.0063 | + | 4.56631i | 0.741484 | + | 0.169239i | ||||
\(729\) | 14.4353 | + | 63.2452i | 0.534641 | + | 2.34242i | ||||
\(730\) | 1.01173 | 0.0374457 | ||||||||
\(731\) | 6.30958 | − | 26.2905i | 0.233368 | − | 0.972388i | ||||
\(732\) | −54.4688 | −2.01322 | ||||||||
\(733\) | −8.73197 | − | 38.2572i | −0.322523 | − | 1.41306i | −0.833048 | − | 0.553201i | \(-0.813406\pi\) |
0.510525 | − | 0.859863i | \(-0.329451\pi\) | |||||||
\(734\) | −53.9756 | − | 12.3196i | −1.99228 | − | 0.454724i | ||||
\(735\) | −20.9134 | + | 10.0714i | −0.771402 | + | 0.371487i | ||||
\(736\) | 37.6534 | − | 30.0276i | 1.38792 | − | 1.10683i | ||||
\(737\) | − | 1.32519i | − | 0.0488140i | ||||||
\(738\) | − | 8.46686i | − | 0.311669i | ||||||
\(739\) | −12.7577 | − | 15.9977i | −0.469300 | − | 0.588484i | 0.489699 | − | 0.871891i | \(-0.337107\pi\) |
−0.959000 | + | 0.283408i | \(0.908535\pi\) | |||||||
\(740\) | 3.13803 | + | 1.51120i | 0.115356 | + | 0.0555527i | ||||
\(741\) | 70.6789 | + | 56.3646i | 2.59645 | + | 2.07060i | ||||
\(742\) | 23.5773 | − | 48.9588i | 0.865550 | − | 1.79733i | ||||
\(743\) | 4.57467 | − | 1.04414i | 0.167828 | − | 0.0383057i | −0.137781 | − | 0.990463i | \(-0.543997\pi\) |
0.305609 | + | 0.952157i | \(0.401140\pi\) | |||||||
\(744\) | −12.9779 | − | 16.2738i | −0.475793 | − | 0.596626i | ||||
\(745\) | 3.80896 | − | 0.869370i | 0.139550 | − | 0.0318513i | ||||
\(746\) | 11.1940 | − | 5.39074i | 0.409841 | − | 0.197369i | ||||
\(747\) | 59.7557 | − | 74.9313i | 2.18635 | − | 2.74159i | ||||
\(748\) | 0.991614 | + | 1.22444i | 0.0362570 | + | 0.0447701i | ||||
\(749\) | −3.51116 | + | 15.3834i | −0.128295 | + | 0.562097i | ||||
\(750\) | 45.9032 | − | 22.1058i | 1.67615 | − | 0.807190i | ||||
\(751\) | −0.424311 | + | 0.881092i | −0.0154833 | + | 0.0321515i | −0.908567 | − | 0.417739i | \(-0.862823\pi\) |
0.893084 | + | 0.449890i | \(0.148537\pi\) | |||||||
\(752\) | −4.24305 | + | 18.5900i | −0.154728 | + | 0.677908i | ||||
\(753\) | −17.8263 | − | 4.06874i | −0.649627 | − | 0.148273i | ||||
\(754\) | 16.5472 | − | 34.3605i | 0.602612 | − | 1.25134i | ||||
\(755\) | 3.00931 | + | 6.24890i | 0.109520 | + | 0.227421i | ||||
\(756\) | −35.4965 | + | 155.520i | −1.29100 | + | 5.65622i | ||||
\(757\) | 2.30413 | − | 2.88929i | 0.0837450 | − | 0.105013i | −0.738194 | − | 0.674589i | \(-0.764321\pi\) |
0.821939 | + | 0.569576i | \(0.192892\pi\) | |||||||
\(758\) | 45.3687 | + | 36.1803i | 1.64787 | + | 1.31413i | ||||
\(759\) | −1.30904 | − | 2.71825i | −0.0475151 | − | 0.0986661i | ||||
\(760\) | −5.19889 | + | 1.18661i | −0.188584 | + | 0.0430430i | ||||
\(761\) | −13.6146 | − | 17.0721i | −0.493528 | − | 0.618865i | 0.471228 | − | 0.882012i | \(-0.343811\pi\) |
−0.964756 | + | 0.263147i | \(0.915240\pi\) | |||||||
\(762\) | −89.1364 | + | 20.3448i | −3.22907 | + | 0.737015i | ||||
\(763\) | 71.8308 | + | 34.5919i | 2.60045 | + | 1.25231i | ||||
\(764\) | −8.88052 | + | 11.1358i | −0.321286 | + | 0.402880i | ||||
\(765\) | 15.3693 | − | 19.5727i | 0.555680 | − | 0.707651i | ||||
\(766\) | 5.37192 | + | 6.73617i | 0.194095 | + | 0.243388i | ||||
\(767\) | −63.1363 | −2.27972 | ||||||||
\(768\) | 14.7906i | 0.533709i | ||||||||
\(769\) | −10.1337 | − | 12.7072i | −0.365430 | − | 0.458235i | 0.564791 | − | 0.825234i | \(-0.308957\pi\) |
−0.930221 | + | 0.366999i | \(0.880385\pi\) | |||||||
\(770\) | −0.434185 | − | 0.901595i | −0.0156469 | − | 0.0324912i | ||||
\(771\) | 14.1917 | + | 3.23915i | 0.511100 | + | 0.116655i | ||||
\(772\) | 18.1371 | − | 4.13967i | 0.652768 | − | 0.148990i | ||||
\(773\) | 31.0065 | 1.11523 | 0.557613 | − | 0.830101i | \(-0.311717\pi\) | ||||
0.557613 | + | 0.830101i | \(0.311717\pi\) | |||||||
\(774\) | 45.2941 | + | 98.7252i | 1.62806 | + | 3.54860i | ||||
\(775\) | 24.6773i | 0.886434i | ||||||||
\(776\) | 19.8923 | − | 4.54028i | 0.714091 | − | 0.162987i | ||||
\(777\) | 22.8020 | + | 5.20440i | 0.818016 | + | 0.186707i | ||||
\(778\) | 51.7513 | − | 24.9221i | 1.85537 | − | 0.893501i | ||||
\(779\) | 2.43181 | − | 1.93930i | 0.0871287 | − | 0.0694828i | ||||
\(780\) | 29.1615 | 1.04415 | ||||||||
\(781\) | 1.21605 | 0.0435137 | ||||||||
\(782\) | 47.9403 | − | 23.5325i | 1.71434 | − | 0.841521i | ||||
\(783\) | 56.0222 | + | 26.9789i | 2.00207 | + | 0.964146i | ||||
\(784\) | 15.0967 | − | 18.9307i | 0.539169 | − | 0.676096i | ||||
\(785\) | 2.55189 | − | 5.29906i | 0.0910810 | − | 0.189132i | ||||
\(786\) | 16.6928 | + | 73.1358i | 0.595411 | + | 2.60867i | ||||
\(787\) | −33.6371 | + | 26.8247i | −1.19903 | + | 0.956198i | −0.999718 | − | 0.0237378i | \(-0.992443\pi\) |
−0.199316 | + | 0.979935i | \(0.563872\pi\) | |||||||
\(788\) | −27.5267 | + | 6.28278i | −0.980597 | + | 0.223815i | ||||
\(789\) | −21.7140 | − | 45.0895i | −0.773038 | − | 1.60523i | ||||
\(790\) | −5.77443 | + | 7.24091i | −0.205445 | + | 0.257620i | ||||
\(791\) | 34.2849 | − | 42.9919i | 1.21903 | − | 1.52862i | ||||
\(792\) | −1.29435 | − | 0.295427i | −0.0459928 | − | 0.0104975i | ||||
\(793\) | 12.8669 | + | 26.7184i | 0.456917 | + | 0.948798i | ||||
\(794\) | 32.0179 | − | 66.4858i | 1.13627 | − | 2.35949i | ||||
\(795\) | 3.60402 | − | 15.7902i | 0.127821 | − | 0.560022i | ||||
\(796\) | −17.9125 | − | 4.08841i | −0.634891 | − | 0.144910i | ||||
\(797\) | −27.0128 | − | 13.0087i | −0.956842 | − | 0.460791i | −0.110762 | − | 0.993847i | \(-0.535329\pi\) |
−0.846080 | + | 0.533056i | \(0.821044\pi\) | |||||||
\(798\) | −153.823 | + | 74.0770i | −5.44526 | + | 2.62230i | ||||
\(799\) | −12.6395 | + | 26.7590i | −0.447153 | + | 0.946666i | ||||
\(800\) | −21.7046 | + | 27.2168i | −0.767375 | + | 0.962258i | ||||
\(801\) | −17.5180 | + | 21.9669i | −0.618969 | + | 0.776163i | ||||
\(802\) | 5.01540 | + | 10.4146i | 0.177100 | + | 0.367752i | ||||
\(803\) | 0.0205906 | + | 0.0902135i | 0.000726628 | + | 0.00318357i | ||||
\(804\) | −57.0208 | + | 45.4726i | −2.01097 | + | 1.60369i | ||||
\(805\) | −18.4708 | + | 4.21585i | −0.651012 | + | 0.148589i | ||||
\(806\) | −23.4434 | + | 48.6808i | −0.825760 | + | 1.71471i | ||||
\(807\) | 11.1424 | − | 13.9721i | 0.392231 | − | 0.491842i | ||||
\(808\) | 1.90125 | + | 0.915595i | 0.0668858 | + | 0.0322105i | ||||
\(809\) | −3.86155 | + | 3.07948i | −0.135765 | + | 0.108269i | −0.689018 | − | 0.724745i | \(-0.741958\pi\) |
0.553253 | + | 0.833013i | \(0.313386\pi\) | |||||||
\(810\) | 46.5768i | 1.63654i | ||||||||
\(811\) | 42.8951i | 1.50625i | 0.657878 | + | 0.753125i | \(0.271454\pi\) | ||||
−0.657878 | + | 0.753125i | \(0.728546\pi\) | |||||||
\(812\) | 25.0840 | + | 31.4543i | 0.880275 | + | 1.10383i | ||||
\(813\) | −19.3870 | − | 40.2576i | −0.679932 | − | 1.41189i | ||||
\(814\) | −0.126903 | + | 0.555997i | −0.00444793 | + | 0.0194877i | ||||
\(815\) | 0.877560 | + | 3.84484i | 0.0307396 | + | 0.134679i | ||||
\(816\) | −7.73947 | + | 35.1242i | −0.270936 | + | 1.22959i | ||||
\(817\) | −17.9809 | + | 35.6218i | −0.629073 | + | 1.24625i | ||||
\(818\) | 10.0123 | 0.350071 | ||||||||
\(819\) | 137.792 | − | 31.4502i | 4.81486 | − | 1.09896i | ||||
\(820\) | 0.223265 | − | 0.978189i | 0.00779676 | − | 0.0341598i | ||||
\(821\) | 8.89876 | + | 18.4785i | 0.310569 | + | 0.644903i | 0.996575 | − | 0.0826926i | \(-0.0263520\pi\) |
−0.686006 | + | 0.727596i | \(0.740638\pi\) | |||||||
\(822\) | −21.4681 | + | 17.1202i | −0.748786 | + | 0.597137i | ||||
\(823\) | − | 4.99555i | − | 0.174134i | −0.996202 | − | 0.0870669i | \(-0.972251\pi\) | ||
0.996202 | − | 0.0870669i | \(-0.0277494\pi\) | |||||||
\(824\) | 5.66347 | 0.197296 | ||||||||
\(825\) | 1.35969 | + | 1.70500i | 0.0473384 | + | 0.0593605i | ||||
\(826\) | 51.7352 | − | 107.429i | 1.80010 | − | 3.73794i | ||||
\(827\) | −4.18789 | − | 3.33973i | −0.145627 | − | 0.116134i | 0.547966 | − | 0.836500i | \(-0.315402\pi\) |
−0.693594 | + | 0.720366i | \(0.743974\pi\) | |||||||
\(828\) | −51.9978 | + | 107.975i | −1.80705 | + | 3.75238i | ||||
\(829\) | −2.13365 | − | 9.34812i | −0.0741046 | − | 0.324674i | 0.924265 | − | 0.381751i | \(-0.124679\pi\) |
−0.998370 | + | 0.0570776i | \(0.981822\pi\) | |||||||
\(830\) | 15.8967 | − | 12.6772i | 0.551783 | − | 0.440032i | ||||
\(831\) | −8.20506 | − | 35.9487i | −0.284630 | − | 1.24705i | ||||
\(832\) | −47.0141 | + | 22.6408i | −1.62992 | + | 0.784928i | ||||
\(833\) | 29.2037 | − | 23.6506i | 1.01185 | − | 0.819444i | ||||
\(834\) | −3.54709 | + | 4.44791i | −0.122826 | + | 0.154018i | ||||
\(835\) | −3.24143 | + | 14.2016i | −0.112174 | + | 0.491467i | ||||
\(836\) | −1.00894 | − | 2.09509i | −0.0348950 | − | 0.0724603i | ||||
\(837\) | −79.3703 | − | 38.2227i | −2.74344 | − | 1.32117i | ||||
\(838\) | 77.9505 | + | 17.7917i | 2.69276 | + | 0.614604i | ||||
\(839\) | −35.6612 | − | 8.13943i | −1.23116 | − | 0.281004i | −0.443027 | − | 0.896508i | \(-0.646095\pi\) |
−0.788134 | + | 0.615504i | \(0.788953\pi\) | |||||||
\(840\) | −5.01184 | + | 10.4072i | −0.172925 | + | 0.359082i | ||||
\(841\) | −11.9991 | + | 5.77844i | −0.413761 | + | 0.199257i | ||||
\(842\) | −7.58818 | + | 33.2460i | −0.261506 | + | 1.14573i | ||||
\(843\) | −65.4273 | − | 52.1765i | −2.25343 | − | 1.79705i | ||||
\(844\) | −4.31818 | − | 3.44364i | −0.148638 | − | 0.118535i | ||||
\(845\) | −2.51388 | − | 5.22014i | −0.0864803 | − | 0.179578i | ||||
\(846\) | −26.4559 | − | 115.911i | −0.909574 | − | 3.98510i | ||||
\(847\) | −34.4517 | + | 27.4743i | −1.18377 | + | 0.944029i | ||||
\(848\) | 3.75947 | + | 16.4713i | 0.129101 | + | 0.565627i | ||||
\(849\) | −87.8521 | − | 42.3073i | −3.01508 | − | 1.45198i | ||||
\(850\) | −29.9985 | + | 24.2942i | −1.02894 | + | 0.833285i | ||||
\(851\) | 9.72796 | + | 4.68474i | 0.333470 | + | 0.160591i | ||||
\(852\) | −41.7276 | − | 52.3247i | −1.42956 | − | 1.79262i | ||||
\(853\) | − | 31.4410i | − | 1.07652i | −0.842779 | − | 0.538260i | \(-0.819082\pi\) | ||
0.842779 | − | 0.538260i | \(-0.180918\pi\) | |||||||
\(854\) | −56.0059 | −1.91648 | ||||||||
\(855\) | −28.7150 | + | 22.8995i | −0.982034 | + | 0.783146i | ||||
\(856\) | 1.92697 | + | 4.00139i | 0.0658624 | + | 0.136765i | ||||
\(857\) | −37.5958 | − | 8.58100i | −1.28425 | − | 0.293121i | −0.474686 | − | 0.880155i | \(-0.657438\pi\) |
−0.809562 | + | 0.587034i | \(0.800295\pi\) | |||||||
\(858\) | 1.06251 | + | 4.65516i | 0.0362735 | + | 0.158924i | ||||
\(859\) | −49.9525 | −1.70436 | −0.852179 | − | 0.523250i | \(-0.824719\pi\) | ||||
−0.852179 | + | 0.523250i | \(0.824719\pi\) | |||||||
\(860\) | 2.62958 | + | 12.6002i | 0.0896678 | + | 0.429665i | ||||
\(861\) | − | 6.73755i | − | 0.229615i | ||||||
\(862\) | −66.4750 | + | 15.1725i | −2.26415 | + | 0.516777i | ||||
\(863\) | 3.18748 | − | 13.9653i | 0.108503 | − | 0.475384i | −0.891257 | − | 0.453498i | \(-0.850176\pi\) |
0.999760 | − | 0.0218856i | \(-0.00696697\pi\) | |||||||
\(864\) | −53.9197 | − | 111.965i | −1.83439 | − | 3.80914i | ||||
\(865\) | −6.97621 | − | 8.74789i | −0.237198 | − | 0.297437i | ||||
\(866\) | 47.5913 | 1.61722 | ||||||||
\(867\) | −23.4607 | + | 50.6514i | −0.796769 | + | 1.72021i | ||||
\(868\) | −35.5381 | − | 44.5634i | −1.20624 | − | 1.51258i | ||||
\(869\) | −0.763176 | − | 0.367526i | −0.0258890 | − | 0.0124675i | ||||
\(870\) | 16.7839 | + | 13.3847i | 0.569027 | + | 0.453784i | ||||
\(871\) | 35.7753 | + | 17.2285i | 1.21220 | + | 0.583765i | ||||
\(872\) | 21.8774 | − | 4.99337i | 0.740862 | − | 0.169097i | ||||
\(873\) | 109.871 | − | 87.6192i | 3.71857 | − | 2.96546i | ||||
\(874\) | −76.8413 | + | 17.5385i | −2.59920 | + | 0.593250i | ||||
\(875\) | 26.3641 | − | 12.6963i | 0.891270 | − | 0.429213i | ||||
\(876\) | 3.17520 | − | 3.98157i | 0.107280 | − | 0.134525i | ||||
\(877\) | 13.1827 | + | 10.5129i | 0.445149 | + | 0.354994i | 0.820265 | − | 0.571983i | \(-0.193826\pi\) |
−0.375116 | + | 0.926978i | \(0.622397\pi\) | |||||||
\(878\) | 44.6729 | + | 10.1963i | 1.50764 | + | 0.344108i | ||||
\(879\) | 40.8061 | + | 84.7347i | 1.37636 | + | 2.85803i | ||||
\(880\) | 0.280315 | + | 0.134993i | 0.00944942 | + | 0.00455060i | ||||
\(881\) | −51.3498 | − | 11.7203i | −1.73002 | − | 0.394865i | −0.762365 | − | 0.647148i | \(-0.775962\pi\) |
−0.967654 | + | 0.252282i | \(0.918819\pi\) | |||||||
\(882\) | −33.5946 | + | 147.188i | −1.13119 | + | 4.95606i | ||||
\(883\) | 16.9900 | + | 8.18194i | 0.571758 | + | 0.275344i | 0.697342 | − | 0.716739i | \(-0.254366\pi\) |
−0.125584 | + | 0.992083i | \(0.540080\pi\) | |||||||
\(884\) | −45.9472 | + | 10.8513i | −1.54537 | + | 0.364967i | ||||
\(885\) | 7.90823 | − | 34.6482i | 0.265832 | − | 1.16469i | ||||
\(886\) | −14.9742 | + | 18.7771i | −0.503068 | + | 0.630827i | ||||
\(887\) | 39.0390 | + | 31.1326i | 1.31080 | + | 1.04533i | 0.995344 | + | 0.0963892i | \(0.0307293\pi\) |
0.315457 | + | 0.948940i | \(0.397842\pi\) | |||||||
\(888\) | 5.93105 | − | 2.85624i | 0.199033 | − | 0.0958493i | ||||
\(889\) | −51.1948 | + | 11.6849i | −1.71702 | + | 0.391898i | ||||
\(890\) | −4.66029 | + | 3.71646i | −0.156213 | + | 0.124576i | ||||
\(891\) | −4.15315 | + | 0.947929i | −0.139136 | + | 0.0317568i | ||||
\(892\) | 53.3735 | + | 25.7033i | 1.78708 | + | 0.860612i | ||||
\(893\) | 27.2318 | − | 34.1476i | 0.911277 | − | 1.14270i | ||||
\(894\) | 15.2757 | − | 31.7203i | 0.510896 | − | 1.06089i | ||||
\(895\) | −1.10817 | + | 0.883739i | −0.0370421 | + | 0.0295401i | ||||
\(896\) | − | 35.0068i | − | 1.16950i | ||||||
\(897\) | 90.4012 | 3.01841 | ||||||||
\(898\) | −20.3922 | + | 16.2623i | −0.680498 | + | 0.542679i | ||||
\(899\) | −20.0175 | + | 9.63993i | −0.667622 | + | 0.321510i | ||||
\(900\) | 19.2759 | − | 84.4532i | 0.642530 | − | 2.81511i | ||||
\(901\) | 0.197158 | + | 26.2204i | 0.00656829 | + | 0.873527i | ||||
\(902\) | 0.164287 | 0.00547014 | ||||||||
\(903\) | 36.0430 | + | 78.5612i | 1.19944 | + | 2.61435i | ||||
\(904\) | − | 15.4773i | − | 0.514768i | ||||||
\(905\) | 0.160070 | + | 0.701311i | 0.00532089 | + | 0.0233124i | ||||
\(906\) | 60.9340 | + | 13.9078i | 2.02440 | + | 0.462056i | ||||
\(907\) | 3.96031 | + | 8.22366i | 0.131500 | + | 0.273062i | 0.956314 | − | 0.292342i | \(-0.0944345\pi\) |
−0.824814 | + | 0.565404i | \(0.808720\pi\) | |||||||
\(908\) | −36.0335 | + | 28.7358i | −1.19581 | + | 0.953630i | ||||
\(909\) | 14.5341 | 0.482065 | ||||||||
\(910\) | 29.9845 | 0.993976 | ||||||||
\(911\) | −8.98706 | + | 7.16694i | −0.297755 | + | 0.237451i | −0.760959 | − | 0.648800i | \(-0.775271\pi\) |
0.463204 | + | 0.886252i | \(0.346700\pi\) | |||||||
\(912\) | 23.0313 | − | 47.8250i | 0.762642 | − | 1.58364i | ||||
\(913\) | 1.45393 | + | 1.15947i | 0.0481180 | + | 0.0383728i | ||||
\(914\) | −42.0946 | − | 20.2717i | −1.39236 | − | 0.670527i | ||||
\(915\) | −16.2743 | + | 3.71450i | −0.538012 | + | 0.122798i | ||||
\(916\) | 26.0352 | + | 32.6471i | 0.860226 | + | 1.07869i | ||||
\(917\) | 9.58735 | + | 42.0049i | 0.316602 | + | 1.38712i | ||||
\(918\) | −31.6736 | − | 134.114i | −1.04538 | − | 4.42644i | ||||
\(919\) | 19.2058 | − | 24.0833i | 0.633540 | − | 0.794434i | −0.356638 | − | 0.934242i | \(-0.616077\pi\) |
0.990179 | + | 0.139808i | \(0.0446486\pi\) | |||||||
\(920\) | −3.32480 | + | 4.16917i | −0.109615 | + | 0.137453i | ||||
\(921\) | 21.4912 | + | 4.90523i | 0.708159 | + | 0.161633i | ||||
\(922\) | −35.0700 | + | 16.8888i | −1.15497 | + | 0.556203i | ||||
\(923\) | −15.8096 | + | 32.8289i | −0.520378 | + | 1.08058i | ||||
\(924\) | −4.91079 | − | 1.12086i | −0.161553 | − | 0.0368735i | ||||
\(925\) | −7.60881 | − | 1.73666i | −0.250176 | − | 0.0571011i | ||||
\(926\) | −24.1396 | − | 11.6250i | −0.793275 | − | 0.382021i | ||||
\(927\) | 35.1439 | − | 16.9244i | 1.15428 | − | 0.555871i | ||||
\(928\) | −30.5562 | − | 6.97425i | −1.00306 | − | 0.228941i | ||||
\(929\) | −24.1556 | − | 19.2634i | −0.792519 | − | 0.632013i | 0.141215 | − | 0.989979i | \(-0.454899\pi\) |
−0.933735 | + | 0.357966i | \(0.883470\pi\) | |||||||
\(930\) | −23.7788 | − | 18.9630i | −0.779738 | − | 0.621821i | ||||
\(931\) | −49.9692 | + | 24.0639i | −1.63768 | + | 0.788663i | ||||
\(932\) | −19.7818 | + | 4.51507i | −0.647975 | + | 0.147896i | ||||
\(933\) | 41.3959 | + | 51.9088i | 1.35524 | + | 1.69942i | ||||
\(934\) | −7.16466 | − | 31.3904i | −0.234435 | − | 1.02713i | ||||
\(935\) | 0.379778 | + | 0.298219i | 0.0124201 | + | 0.00975279i | ||||
\(936\) | 24.8030 | − | 31.1020i | 0.810711 | − | 1.01660i | ||||
\(937\) | −13.8335 | − | 6.66187i | −0.451921 | − | 0.217634i | 0.194056 | − | 0.980990i | \(-0.437836\pi\) |
−0.645977 | + | 0.763357i | \(0.723550\pi\) | |||||||
\(938\) | −58.6300 | + | 46.7559i | −1.91434 | + | 1.52663i | ||||
\(939\) | 30.6796 | 1.00119 | ||||||||
\(940\) | − | 14.0890i | − | 0.459532i | ||||||
\(941\) | 0.711163 | − | 0.567134i | 0.0231833 | − | 0.0184880i | −0.611830 | − | 0.790990i | \(-0.709566\pi\) |
0.635013 | + | 0.772502i | \(0.280995\pi\) | |||||||
\(942\) | −22.9962 | − | 47.7521i | −0.749257 | − | 1.55585i | ||||
\(943\) | 0.692126 | − | 3.03240i | 0.0225387 | − | 0.0987486i | ||||
\(944\) | 8.24933 | + | 36.1427i | 0.268493 | + | 1.17634i | ||||
\(945\) | 48.8874i | 1.59031i | ||||||||
\(946\) | −1.91561 | + | 0.878862i | −0.0622819 | + | 0.0285743i | ||||
\(947\) | − | 36.2685i | − | 1.17857i | −0.807926 | − | 0.589284i | \(-0.799410\pi\) | ||
0.807926 | − | 0.589284i | \(-0.200590\pi\) | |||||||
\(948\) | 10.3736 | + | 45.4496i | 0.336918 | + | 1.47613i | ||||
\(949\) | −2.70313 | − | 0.616971i | −0.0877473 | − | 0.0200277i | ||||
\(950\) | 51.3291 | − | 24.7188i | 1.66534 | − | 0.801984i | ||||
\(951\) | −21.8358 | − | 27.3812i | −0.708074 | − | 0.887896i | ||||
\(952\) | 4.02410 | − | 18.2626i | 0.130422 | − | 0.591896i | ||||
\(953\) | −0.671496 | −0.0217519 | −0.0108760 | − | 0.999941i | \(-0.503462\pi\) | ||||
−0.0108760 | + | 0.999941i | \(0.503462\pi\) | |||||||
\(954\) | −65.6795 | − | 82.3595i | −2.12645 | − | 2.66649i | ||||
\(955\) | −1.89393 | + | 3.93279i | −0.0612862 | + | 0.127262i | ||||
\(956\) | −8.78860 | + | 11.0206i | −0.284244 | + | 0.356430i | ||||
\(957\) | −0.851899 | + | 1.76899i | −0.0275380 | + | 0.0571832i | ||||
\(958\) | −34.8626 | + | 7.95715i | −1.12636 | + | 0.257084i | ||||
\(959\) | −12.3300 | + | 9.83287i | −0.398157 | + | 0.317520i | ||||
\(960\) | −6.53609 | − | 28.6365i | −0.210952 | − | 0.924239i | ||||
\(961\) | 0.430113 | − | 0.207131i | 0.0138746 | − | 0.00668166i | ||||
\(962\) | −13.3600 | − | 10.6543i | −0.430745 | − | 0.343508i | ||||
\(963\) | 23.9151 | + | 19.0717i | 0.770654 | + | 0.614576i | ||||
\(964\) | −37.7037 | − | 8.60563i | −1.21436 | − | 0.277169i | ||||
\(965\) | 5.13673 | − | 2.47372i | 0.165357 | − | 0.0796319i | ||||
\(966\) | −74.0766 | + | 153.822i | −2.38338 | + | 4.94913i | ||||
\(967\) | −9.45523 | + | 41.4261i | −0.304060 | + | 1.33217i | 0.559879 | + | 0.828575i | \(0.310848\pi\) |
−0.863938 | + | 0.503598i | \(0.832009\pi\) | |||||||
\(968\) | −2.75988 | + | 12.0918i | −0.0887060 | + | 0.388646i | ||||
\(969\) | 50.8796 | − | 64.7945i | 1.63449 | − | 2.08150i | ||||
\(970\) | 26.8611 | − | 12.9356i | 0.862457 | − | 0.415338i | ||||
\(971\) | 0.0569014 | − | 0.249301i | 0.00182605 | − | 0.00800046i | −0.974007 | − | 0.226519i | \(-0.927265\pi\) |
0.975833 | + | 0.218519i | \(0.0701225\pi\) | |||||||
\(972\) | 90.0931 | + | 71.8469i | 2.88974 | + | 2.30449i | ||||
\(973\) | −2.03724 | + | 2.55462i | −0.0653109 | + | 0.0818973i | ||||
\(974\) | 14.8229 | + | 30.7800i | 0.474955 | + | 0.986254i | ||||
\(975\) | −63.7058 | + | 14.5404i | −2.04022 | + | 0.465666i | ||||
\(976\) | 13.6139 | − | 10.8567i | 0.435770 | − | 0.347515i | ||||
\(977\) | −3.52650 | − | 15.4506i | −0.112823 | − | 0.494308i | −0.999491 | − | 0.0319022i | \(-0.989843\pi\) |
0.886668 | − | 0.462406i | \(-0.153014\pi\) | |||||||
\(978\) | 32.0191 | + | 15.4196i | 1.02386 | + | 0.493064i | ||||
\(979\) | −0.426235 | − | 0.339911i | −0.0136225 | − | 0.0108636i | ||||
\(980\) | −7.76247 | + | 16.1189i | −0.247963 | + | 0.514900i | ||||
\(981\) | 120.835 | − | 96.3630i | 3.85798 | − | 3.07663i | ||||
\(982\) | −67.0634 | −2.14008 | ||||||||
\(983\) | 35.0828i | 1.11897i | 0.828841 | + | 0.559484i | \(0.189000\pi\) | ||||
−0.828841 | + | 0.559484i | \(0.811000\pi\) | |||||||
\(984\) | −1.18237 | − | 1.48265i | −0.0376926 | − | 0.0472650i | ||||
\(985\) | −7.79603 | + | 3.75437i | −0.248402 | + | 0.119624i | ||||
\(986\) | −31.4254 | − | 14.8436i | −1.00079 | − | 0.472718i | ||||
\(987\) | −21.0525 | − | 92.2369i | −0.670107 | − | 2.93593i | ||||
\(988\) | 69.6769 | 2.21672 | ||||||||
\(989\) | 8.15173 | + | 39.0610i | 0.259210 | + | 1.24207i | ||||
\(990\) | −1.93991 | −0.0616544 | ||||||||
\(991\) | 24.5084 | − | 5.59387i | 0.778534 | − | 0.177695i | 0.185253 | − | 0.982691i | \(-0.440690\pi\) |
0.593281 | + | 0.804996i | \(0.297832\pi\) | |||||||
\(992\) | 43.2910 | + | 9.88088i | 1.37449 | + | 0.313718i | ||||
\(993\) | 35.1056 | + | 72.8976i | 1.11404 | + | 2.31334i | ||||
\(994\) | −42.9052 | − | 53.8014i | −1.36087 | − | 1.70648i | ||||
\(995\) | −5.63074 | −0.178506 | ||||||||
\(996\) | − | 102.346i | − | 3.24296i | ||||||
\(997\) | 43.3755 | − | 34.5908i | 1.37372 | − | 1.09550i | 0.389018 | − | 0.921230i | \(-0.372814\pi\) |
0.984698 | − | 0.174272i | \(-0.0557572\pi\) | |||||||
\(998\) | −13.3258 | + | 27.6712i | −0.421820 | + | 0.875918i | ||||
\(999\) | 17.3710 | − | 21.7825i | 0.549594 | − | 0.689169i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 731.2.p.a.16.11 | ✓ | 384 | |
17.16 | even | 2 | inner | 731.2.p.a.16.12 | yes | 384 | |
43.35 | even | 7 | inner | 731.2.p.a.594.12 | yes | 384 | |
731.594 | even | 14 | inner | 731.2.p.a.594.11 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.p.a.16.11 | ✓ | 384 | 1.1 | even | 1 | trivial | |
731.2.p.a.16.12 | yes | 384 | 17.16 | even | 2 | inner | |
731.2.p.a.594.11 | yes | 384 | 731.594 | even | 14 | inner | |
731.2.p.a.594.12 | yes | 384 | 43.35 | even | 7 | inner |