Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [260,2,Mod(19,260)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(260, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("260.19");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 260 = 2^{2} \cdot 5 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 260.bc (of order \(12\), degree \(4\), 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: | \(2.07611045255\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 19.11 | ||
Character | \(\chi\) | \(=\) | 260.19 |
Dual form | 260.2.bc.c.219.11 |
$q$-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 \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).
\(n\) | \(41\) | \(131\) | \(157\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.796363 | − | 1.16868i | −0.563114 | − | 0.826379i | ||||
\(3\) | −0.640517 | + | 1.10941i | −0.369803 | + | 0.640517i | −0.989534 | − | 0.144297i | \(-0.953908\pi\) |
0.619732 | + | 0.784814i | \(0.287241\pi\) | |||||||
\(4\) | −0.731612 | + | 1.86138i | −0.365806 | + | 0.930691i | ||||
\(5\) | −2.15621 | + | 0.592253i | −0.964286 | + | 0.264864i | ||||
\(6\) | 1.80662 | − | 0.134934i | 0.737551 | − | 0.0550865i | ||||
\(7\) | 0.819289 | − | 3.05763i | 0.309662 | − | 1.15567i | −0.619195 | − | 0.785237i | \(-0.712541\pi\) |
0.928857 | − | 0.370438i | \(-0.120792\pi\) | |||||||
\(8\) | 2.75798 | − | 0.627317i | 0.975094 | − | 0.221790i | ||||
\(9\) | 0.679475 | + | 1.17689i | 0.226492 | + | 0.392295i | ||||
\(10\) | 2.40928 | + | 2.04826i | 0.761880 | + | 0.647718i | ||||
\(11\) | −1.35674 | − | 5.06344i | −0.409074 | − | 1.52668i | −0.796417 | − | 0.604748i | \(-0.793274\pi\) |
0.387343 | − | 0.921936i | \(-0.373393\pi\) | |||||||
\(12\) | −1.59642 | − | 2.00390i | −0.460848 | − | 0.578477i | ||||
\(13\) | −3.44336 | + | 1.06923i | −0.955017 | + | 0.296551i | ||||
\(14\) | −4.22583 | + | 1.47750i | −1.12940 | + | 0.394878i | ||||
\(15\) | 0.724039 | − | 2.77146i | 0.186946 | − | 0.715589i | ||||
\(16\) | −2.92949 | − | 2.72362i | −0.732372 | − | 0.680905i | ||||
\(17\) | −2.66223 | − | 4.61113i | −0.645687 | − | 1.11836i | −0.984142 | − | 0.177380i | \(-0.943238\pi\) |
0.338456 | − | 0.940982i | \(-0.390095\pi\) | |||||||
\(18\) | 0.834290 | − | 1.73132i | 0.196644 | − | 0.408075i | ||||
\(19\) | 0.958688 | − | 3.57787i | 0.219938 | − | 0.820821i | −0.764431 | − | 0.644705i | \(-0.776980\pi\) |
0.984370 | − | 0.176115i | \(-0.0563532\pi\) | |||||||
\(20\) | 0.475100 | − | 4.44683i | 0.106236 | − | 0.994341i | ||||
\(21\) | 2.86739 | + | 2.86739i | 0.625716 | + | 0.625716i | ||||
\(22\) | −4.83706 | + | 5.61793i | −1.03127 | + | 1.19775i | ||||
\(23\) | −2.21578 | − | 1.27928i | −0.462023 | − | 0.266749i | 0.250872 | − | 0.968020i | \(-0.419283\pi\) |
−0.712894 | + | 0.701271i | \(0.752616\pi\) | |||||||
\(24\) | −1.07058 | + | 3.46154i | −0.218532 | + | 0.706583i | ||||
\(25\) | 4.29847 | − | 2.55404i | 0.859695 | − | 0.510808i | ||||
\(26\) | 3.99175 | + | 3.17268i | 0.782847 | + | 0.622214i | ||||
\(27\) | −5.58397 | −1.07463 | ||||||||
\(28\) | 5.09201 | + | 3.76201i | 0.962300 | + | 0.710953i | ||||
\(29\) | 0.573434 | − | 0.993216i | 0.106484 | − | 0.184436i | −0.807860 | − | 0.589375i | \(-0.799374\pi\) |
0.914344 | + | 0.404939i | \(0.132707\pi\) | |||||||
\(30\) | −3.81554 | + | 1.36092i | −0.696620 | + | 0.248470i | ||||
\(31\) | 1.95451 | + | 1.95451i | 0.351041 | + | 0.351041i | 0.860497 | − | 0.509456i | \(-0.170153\pi\) |
−0.509456 | + | 0.860497i | \(0.670153\pi\) | |||||||
\(32\) | −0.850097 | + | 5.59261i | −0.150277 | + | 0.988644i | ||||
\(33\) | 6.48644 | + | 1.73804i | 1.12914 | + | 0.302553i | ||||
\(34\) | −3.26881 | + | 6.78342i | −0.560597 | + | 1.16335i | ||||
\(35\) | 0.0443310 | + | 7.07811i | 0.00749331 | + | 1.19642i | ||||
\(36\) | −2.68775 | + | 0.403739i | −0.447958 | + | 0.0672899i | ||||
\(37\) | 0.831477 | + | 3.10311i | 0.136694 | + | 0.510149i | 0.999985 | + | 0.00544260i | \(0.00173244\pi\) |
−0.863291 | + | 0.504706i | \(0.831601\pi\) | |||||||
\(38\) | −4.94484 | + | 1.72889i | −0.802159 | + | 0.280463i | ||||
\(39\) | 1.01932 | − | 4.50496i | 0.163222 | − | 0.721370i | ||||
\(40\) | −5.57526 | + | 2.98605i | −0.881526 | + | 0.472136i | ||||
\(41\) | −2.58986 | − | 9.66547i | −0.404467 | − | 1.50949i | −0.805036 | − | 0.593226i | \(-0.797854\pi\) |
0.400568 | − | 0.916267i | \(-0.368813\pi\) | |||||||
\(42\) | 1.06757 | − | 5.63454i | 0.164730 | − | 0.869428i | ||||
\(43\) | −1.76212 | + | 1.01736i | −0.268721 | + | 0.155146i | −0.628306 | − | 0.777966i | \(-0.716251\pi\) |
0.359585 | + | 0.933112i | \(0.382918\pi\) | |||||||
\(44\) | 10.4176 | + | 1.17905i | 1.57051 | + | 0.177749i | ||||
\(45\) | −2.16210 | − | 2.13519i | −0.322308 | − | 0.318295i | ||||
\(46\) | 0.269499 | + | 3.60831i | 0.0397354 | + | 0.532016i | ||||
\(47\) | 3.80170 | + | 3.80170i | 0.554535 | + | 0.554535i | 0.927746 | − | 0.373211i | \(-0.121743\pi\) |
−0.373211 | + | 0.927746i | \(0.621743\pi\) | |||||||
\(48\) | 4.89799 | − | 1.50547i | 0.706965 | − | 0.217296i | ||||
\(49\) | −2.61568 | − | 1.51016i | −0.373668 | − | 0.215737i | ||||
\(50\) | −6.40799 | − | 2.98958i | −0.906227 | − | 0.422791i | ||||
\(51\) | 6.82083 | 0.955107 | ||||||||
\(52\) | 0.528958 | − | 7.19168i | 0.0733532 | − | 0.997306i | ||||
\(53\) | 1.42398i | 0.195599i | 0.995206 | + | 0.0977995i | \(0.0311804\pi\) | ||||
−0.995206 | + | 0.0977995i | \(0.968820\pi\) | |||||||
\(54\) | 4.44686 | + | 6.52585i | 0.605141 | + | 0.888056i | ||||
\(55\) | 5.92426 | + | 10.1143i | 0.798827 | + | 1.36381i | ||||
\(56\) | 0.341482 | − | 8.94684i | 0.0456325 | − | 1.19557i | ||||
\(57\) | 3.35527 | + | 3.35527i | 0.444416 | + | 0.444416i | ||||
\(58\) | −1.61741 | + | 0.120802i | −0.212376 | + | 0.0158621i | ||||
\(59\) | −13.1237 | − | 3.51648i | −1.70856 | − | 0.457806i | −0.733486 | − | 0.679704i | \(-0.762108\pi\) |
−0.975070 | + | 0.221898i | \(0.928775\pi\) | |||||||
\(60\) | 4.62904 | + | 3.37535i | 0.597606 | + | 0.435756i | ||||
\(61\) | 7.45824 | + | 12.9180i | 0.954929 | + | 1.65399i | 0.734529 | + | 0.678577i | \(0.237403\pi\) |
0.220400 | + | 0.975410i | \(0.429264\pi\) | |||||||
\(62\) | 0.727693 | − | 3.84070i | 0.0924171 | − | 0.487769i | ||||
\(63\) | 4.15517 | − | 1.11337i | 0.523502 | − | 0.140272i | ||||
\(64\) | 7.21295 | − | 3.46026i | 0.901618 | − | 0.432533i | ||||
\(65\) | 6.79135 | − | 4.34483i | 0.842364 | − | 0.538910i | ||||
\(66\) | −3.13436 | − | 8.96466i | −0.385813 | − | 1.10347i | ||||
\(67\) | −2.53496 | − | 9.46061i | −0.309695 | − | 1.15580i | −0.928828 | − | 0.370511i | \(-0.879183\pi\) |
0.619133 | − | 0.785286i | \(-0.287484\pi\) | |||||||
\(68\) | 10.5308 | − | 1.58188i | 1.27705 | − | 0.191831i | ||||
\(69\) | 2.83849 | − | 1.63881i | 0.341715 | − | 0.197289i | ||||
\(70\) | 8.23672 | − | 5.68855i | 0.984477 | − | 0.679912i | ||||
\(71\) | −1.23075 | + | 4.59322i | −0.146063 | + | 0.545114i | 0.853643 | + | 0.520859i | \(0.174388\pi\) |
−0.999706 | + | 0.0242555i | \(0.992278\pi\) | |||||||
\(72\) | 2.61226 | + | 2.81958i | 0.307858 | + | 0.332291i | ||||
\(73\) | −0.511280 | + | 0.511280i | −0.0598408 | + | 0.0598408i | −0.736394 | − | 0.676553i | \(-0.763473\pi\) |
0.676553 | + | 0.736394i | \(0.263473\pi\) | |||||||
\(74\) | 2.96438 | − | 3.44293i | 0.344602 | − | 0.400233i | ||||
\(75\) | 0.0802295 | + | 6.40467i | 0.00926411 | + | 0.739548i | ||||
\(76\) | 5.95840 | + | 4.40210i | 0.683476 | + | 0.504956i | ||||
\(77\) | −16.5937 | −1.89103 | ||||||||
\(78\) | −6.07659 | + | 2.39633i | −0.688038 | + | 0.271330i | ||||
\(79\) | − | 6.58756i | − | 0.741158i | −0.928801 | − | 0.370579i | \(-0.879159\pi\) | ||
0.928801 | − | 0.370579i | \(-0.120841\pi\) | |||||||
\(80\) | 7.92966 | + | 4.13770i | 0.886563 | + | 0.462608i | ||||
\(81\) | 1.53820 | − | 2.66424i | 0.170911 | − | 0.296027i | ||||
\(82\) | −9.23335 | + | 10.7239i | −1.01965 | + | 1.18426i | ||||
\(83\) | −2.29916 | + | 2.29916i | −0.252366 | + | 0.252366i | −0.821940 | − | 0.569574i | \(-0.807108\pi\) |
0.569574 | + | 0.821940i | \(0.307108\pi\) | |||||||
\(84\) | −7.43513 | + | 3.23949i | −0.811239 | + | 0.353457i | ||||
\(85\) | 8.47129 | + | 8.36583i | 0.918840 | + | 0.907402i | ||||
\(86\) | 2.59225 | + | 1.24916i | 0.279530 | + | 0.134700i | ||||
\(87\) | 0.734588 | + | 1.27234i | 0.0787561 | + | 0.136410i | ||||
\(88\) | −6.91826 | − | 13.1138i | −0.737489 | − | 1.39793i | ||||
\(89\) | 2.83677 | − | 0.760109i | 0.300697 | − | 0.0805714i | −0.105316 | − | 0.994439i | \(-0.533585\pi\) |
0.406013 | + | 0.913867i | \(0.366919\pi\) | |||||||
\(90\) | −0.773528 | + | 4.22719i | −0.0815370 | + | 0.445585i | ||||
\(91\) | 0.448203 | + | 11.4045i | 0.0469845 | + | 1.19552i | ||||
\(92\) | 4.00233 | − | 3.18848i | 0.417272 | − | 0.332422i | ||||
\(93\) | −3.42025 | + | 0.916454i | −0.354664 | + | 0.0950318i | ||||
\(94\) | 1.41543 | − | 7.47049i | 0.145990 | − | 0.770523i | ||||
\(95\) | 0.0518738 | + | 8.28243i | 0.00532214 | + | 0.849759i | ||||
\(96\) | −5.65999 | − | 4.52527i | −0.577670 | − | 0.461859i | ||||
\(97\) | −2.74980 | + | 10.2624i | −0.279200 | + | 1.04199i | 0.673774 | + | 0.738938i | \(0.264672\pi\) |
−0.952974 | + | 0.303052i | \(0.901994\pi\) | |||||||
\(98\) | 0.318137 | + | 4.25952i | 0.0321367 | + | 0.430277i | ||||
\(99\) | 5.03722 | − | 5.03722i | 0.506259 | − | 0.506259i | ||||
\(100\) | 1.60923 | + | 9.86967i | 0.160923 | + | 0.986967i | ||||
\(101\) | −13.8119 | − | 7.97428i | −1.37433 | − | 0.793470i | −0.382861 | − | 0.923806i | \(-0.625061\pi\) |
−0.991470 | + | 0.130335i | \(0.958395\pi\) | |||||||
\(102\) | −5.43185 | − | 7.97135i | −0.537834 | − | 0.789281i | ||||
\(103\) | − | 5.50269i | − | 0.542197i | −0.962552 | − | 0.271098i | \(-0.912613\pi\) | ||
0.962552 | − | 0.271098i | \(-0.0873868\pi\) | |||||||
\(104\) | −8.82599 | + | 5.10900i | −0.865459 | + | 0.500979i | ||||
\(105\) | −7.88091 | − | 4.48447i | −0.769098 | − | 0.437640i | ||||
\(106\) | 1.66418 | − | 1.13401i | 0.161639 | − | 0.110144i | ||||
\(107\) | 2.49261 | − | 4.31733i | 0.240970 | − | 0.417372i | −0.720021 | − | 0.693952i | \(-0.755868\pi\) |
0.960991 | + | 0.276581i | \(0.0892012\pi\) | |||||||
\(108\) | 4.08530 | − | 10.3939i | 0.393108 | − | 1.00015i | ||||
\(109\) | 5.16895 | − | 5.16895i | 0.495095 | − | 0.495095i | −0.414812 | − | 0.909907i | \(-0.636153\pi\) |
0.909907 | + | 0.414812i | \(0.136153\pi\) | |||||||
\(110\) | 7.10248 | − | 14.9782i | 0.677195 | − | 1.42812i | ||||
\(111\) | −3.97519 | − | 1.06515i | −0.377309 | − | 0.101100i | ||||
\(112\) | −10.7279 | + | 6.72585i | −1.01369 | + | 0.635533i | ||||
\(113\) | 7.81943 | − | 4.51455i | 0.735590 | − | 0.424693i | −0.0848738 | − | 0.996392i | \(-0.527049\pi\) |
0.820464 | + | 0.571699i | \(0.193715\pi\) | |||||||
\(114\) | 1.24921 | − | 6.59323i | 0.117000 | − | 0.617513i | ||||
\(115\) | 5.53535 | + | 1.44610i | 0.516174 | + | 0.134849i | ||||
\(116\) | 1.42922 | + | 1.79403i | 0.132700 | + | 0.166571i | ||||
\(117\) | −3.59804 | − | 3.32593i | −0.332639 | − | 0.307482i | ||||
\(118\) | 6.34158 | + | 18.1377i | 0.583790 | + | 1.66971i | ||||
\(119\) | −16.2802 | + | 4.36228i | −1.49241 | + | 0.399889i | ||||
\(120\) | 0.258299 | − | 8.09785i | 0.0235793 | − | 0.739230i | ||||
\(121\) | −14.2714 | + | 8.23958i | −1.29740 | + | 0.749053i | ||||
\(122\) | 9.15756 | − | 19.0037i | 0.829087 | − | 1.72052i | ||||
\(123\) | 12.3818 | + | 3.31769i | 1.11643 | + | 0.299146i | ||||
\(124\) | −5.06804 | + | 2.20815i | −0.455123 | + | 0.198298i | ||||
\(125\) | −7.75577 | + | 8.05283i | −0.693697 | + | 0.720267i | ||||
\(126\) | −4.61019 | − | 3.96940i | −0.410709 | − | 0.353622i | ||||
\(127\) | −1.08654 | − | 0.627311i | −0.0964144 | − | 0.0556649i | 0.451018 | − | 0.892515i | \(-0.351061\pi\) |
−0.547432 | + | 0.836850i | \(0.684395\pi\) | |||||||
\(128\) | −9.78805 | − | 5.67398i | −0.865150 | − | 0.501514i | ||||
\(129\) | − | 2.60655i | − | 0.229494i | ||||||
\(130\) | −10.4861 | − | 4.47684i | −0.919690 | − | 0.392645i | ||||
\(131\) | 11.7537i | 1.02693i | 0.858112 | + | 0.513463i | \(0.171638\pi\) | ||||
−0.858112 | + | 0.513463i | \(0.828362\pi\) | |||||||
\(132\) | −7.98071 | + | 10.8022i | −0.694632 | + | 0.940209i | ||||
\(133\) | −10.1544 | − | 5.86263i | −0.880495 | − | 0.508354i | ||||
\(134\) | −9.03764 | + | 10.4966i | −0.780733 | + | 0.906770i | ||||
\(135\) | 12.0402 | − | 3.30712i | 1.03626 | − | 0.284632i | ||||
\(136\) | −10.2350 | − | 11.0473i | −0.877647 | − | 0.947302i | ||||
\(137\) | −0.221576 | − | 0.0593711i | −0.0189305 | − | 0.00507242i | 0.249341 | − | 0.968416i | \(-0.419786\pi\) |
−0.268272 | + | 0.963343i | \(0.586453\pi\) | |||||||
\(138\) | −4.17571 | − | 2.01220i | −0.355460 | − | 0.171290i | ||||
\(139\) | −5.56173 | + | 3.21107i | −0.471740 | + | 0.272359i | −0.716968 | − | 0.697106i | \(-0.754471\pi\) |
0.245228 | + | 0.969465i | \(0.421137\pi\) | |||||||
\(140\) | −13.2075 | − | 5.09592i | −1.11624 | − | 0.430683i | ||||
\(141\) | −6.65269 | + | 1.78258i | −0.560258 | + | 0.150121i | ||||
\(142\) | 6.34811 | − | 2.21952i | 0.532721 | − | 0.186258i | ||||
\(143\) | 10.0858 | + | 15.9846i | 0.843413 | + | 1.33670i | ||||
\(144\) | 1.21488 | − | 5.29830i | 0.101240 | − | 0.441525i | ||||
\(145\) | −0.648208 | + | 2.48120i | −0.0538307 | + | 0.206052i | ||||
\(146\) | 1.00469 | + | 0.190357i | 0.0831484 | + | 0.0157540i | ||||
\(147\) | 3.35077 | − | 1.93457i | 0.276367 | − | 0.159561i | ||||
\(148\) | −6.38440 | − | 0.722580i | −0.524794 | − | 0.0593957i | ||||
\(149\) | 11.5555 | + | 3.09628i | 0.946662 | + | 0.253657i | 0.698945 | − | 0.715175i | \(-0.253653\pi\) |
0.247717 | + | 0.968833i | \(0.420320\pi\) | |||||||
\(150\) | 7.42110 | − | 5.19420i | 0.605930 | − | 0.424105i | ||||
\(151\) | −7.23397 | + | 7.23397i | −0.588693 | + | 0.588693i | −0.937277 | − | 0.348585i | \(-0.886662\pi\) |
0.348585 | + | 0.937277i | \(0.386662\pi\) | |||||||
\(152\) | 0.399585 | − | 10.4691i | 0.0324106 | − | 0.849158i | ||||
\(153\) | 3.61785 | − | 6.26629i | 0.292485 | − | 0.506600i | ||||
\(154\) | 13.2146 | + | 19.3927i | 1.06486 | + | 1.56270i | ||||
\(155\) | −5.37190 | − | 3.05677i | −0.431482 | − | 0.245526i | ||||
\(156\) | 7.63970 | + | 5.19322i | 0.611665 | + | 0.415791i | ||||
\(157\) | 0.295125i | 0.0235536i | 0.999931 | + | 0.0117768i | \(0.00374875\pi\) | ||||
−0.999931 | + | 0.0117768i | \(0.996251\pi\) | |||||||
\(158\) | −7.69873 | + | 5.24609i | −0.612478 | + | 0.417356i | ||||
\(159\) | −1.57978 | − | 0.912085i | −0.125285 | − | 0.0723331i | ||||
\(160\) | −1.47926 | − | 12.5623i | −0.116945 | − | 0.993138i | ||||
\(161\) | −5.72694 | + | 5.72694i | −0.451346 | + | 0.451346i | ||||
\(162\) | −4.33860 | + | 0.324043i | −0.340873 | + | 0.0254593i | ||||
\(163\) | 0.984034 | − | 3.67246i | 0.0770755 | − | 0.287650i | −0.916620 | − | 0.399759i | \(-0.869094\pi\) |
0.993696 | + | 0.112109i | \(0.0357606\pi\) | |||||||
\(164\) | 19.8859 | + | 2.25067i | 1.55283 | + | 0.175748i | ||||
\(165\) | −15.0155 | + | 0.0940436i | −1.16895 | + | 0.00732129i | ||||
\(166\) | 4.51795 | + | 0.856012i | 0.350661 | + | 0.0664394i | ||||
\(167\) | 10.8241 | − | 2.90032i | 0.837596 | − | 0.224433i | 0.185571 | − | 0.982631i | \(-0.440586\pi\) |
0.652025 | + | 0.758198i | \(0.273920\pi\) | |||||||
\(168\) | 9.70698 | + | 6.10945i | 0.748910 | + | 0.471354i | ||||
\(169\) | 10.7135 | − | 7.36350i | 0.824114 | − | 0.566423i | ||||
\(170\) | 3.03074 | − | 16.5624i | 0.232447 | − | 1.27028i | ||||
\(171\) | 4.86215 | − | 1.30281i | 0.371818 | − | 0.0996284i | ||||
\(172\) | −0.604508 | − | 4.02429i | −0.0460933 | − | 0.306849i | ||||
\(173\) | 8.92116 | + | 15.4519i | 0.678263 | + | 1.17479i | 0.975504 | + | 0.219983i | \(0.0706003\pi\) |
−0.297241 | + | 0.954803i | \(0.596066\pi\) | |||||||
\(174\) | 0.901961 | − | 1.87174i | 0.0683775 | − | 0.141897i | ||||
\(175\) | −4.28762 | − | 15.2356i | −0.324114 | − | 1.15171i | ||||
\(176\) | −9.81632 | + | 18.5285i | −0.739933 | + | 1.39664i | ||||
\(177\) | 12.3071 | − | 12.3071i | 0.925062 | − | 0.925062i | ||||
\(178\) | −3.14742 | − | 2.70994i | −0.235909 | − | 0.203119i | ||||
\(179\) | 11.9404 | − | 20.6813i | 0.892464 | − | 1.54579i | 0.0555514 | − | 0.998456i | \(-0.482308\pi\) |
0.836912 | − | 0.547337i | \(-0.184358\pi\) | |||||||
\(180\) | 5.55623 | − | 2.46237i | 0.414137 | − | 0.183534i | ||||
\(181\) | − | 15.8003i | − | 1.17442i | −0.809433 | − | 0.587212i | \(-0.800225\pi\) | ||
0.809433 | − | 0.587212i | \(-0.199775\pi\) | |||||||
\(182\) | 12.9713 | − | 9.60595i | 0.961495 | − | 0.712040i | ||||
\(183\) | −19.1085 | −1.41254 | ||||||||
\(184\) | −6.91361 | − | 2.13824i | −0.509678 | − | 0.157633i | ||||
\(185\) | −3.63066 | − | 6.19852i | −0.266932 | − | 0.455724i | ||||
\(186\) | 3.79480 | + | 3.26734i | 0.278248 | + | 0.239573i | ||||
\(187\) | −19.7362 | + | 19.7362i | −1.44325 | + | 1.44325i | ||||
\(188\) | −9.85779 | + | 4.29505i | −0.718953 | + | 0.313249i | ||||
\(189\) | −4.57488 | + | 17.0737i | −0.332774 | + | 1.24193i | ||||
\(190\) | 9.63817 | − | 6.65644i | 0.699227 | − | 0.482909i | ||||
\(191\) | −1.11793 | + | 0.645434i | −0.0808902 | + | 0.0467020i | −0.539900 | − | 0.841729i | \(-0.681538\pi\) |
0.459009 | + | 0.888431i | \(0.348204\pi\) | |||||||
\(192\) | −0.781173 | + | 10.2185i | −0.0563763 | + | 0.737454i | ||||
\(193\) | −3.52046 | − | 13.1385i | −0.253408 | − | 0.945731i | −0.968969 | − | 0.247181i | \(-0.920496\pi\) |
0.715561 | − | 0.698550i | \(-0.246171\pi\) | |||||||
\(194\) | 14.1833 | − | 4.95897i | 1.01830 | − | 0.356033i | ||||
\(195\) | 0.470210 | + | 10.3173i | 0.0336724 | + | 0.738839i | ||||
\(196\) | 4.72465 | − | 3.76392i | 0.337475 | − | 0.268852i | ||||
\(197\) | 20.0039 | − | 5.36003i | 1.42522 | − | 0.381886i | 0.537887 | − | 0.843017i | \(-0.319223\pi\) |
0.887332 | + | 0.461131i | \(0.152556\pi\) | |||||||
\(198\) | −9.89833 | − | 1.87543i | −0.703444 | − | 0.133281i | ||||
\(199\) | −6.83558 | − | 11.8396i | −0.484562 | − | 0.839285i | 0.515281 | − | 0.857021i | \(-0.327687\pi\) |
−0.999843 | + | 0.0177360i | \(0.994354\pi\) | |||||||
\(200\) | 10.2529 | − | 9.74051i | 0.724991 | − | 0.688758i | ||||
\(201\) | 12.1194 | + | 3.24737i | 0.854834 | + | 0.229052i | ||||
\(202\) | 1.67989 | + | 22.4920i | 0.118197 | + | 1.58253i | ||||
\(203\) | −2.56708 | − | 2.56708i | −0.180174 | − | 0.180174i | ||||
\(204\) | −4.99020 | + | 12.6962i | −0.349384 | + | 0.888910i | ||||
\(205\) | 11.3087 | + | 19.3069i | 0.789832 | + | 1.34845i | ||||
\(206\) | −6.43087 | + | 4.38214i | −0.448060 | + | 0.305318i | ||||
\(207\) | − | 3.47696i | − | 0.241666i | ||||||
\(208\) | 12.9995 | + | 6.24611i | 0.901351 | + | 0.433090i | ||||
\(209\) | −19.4170 | −1.34310 | ||||||||
\(210\) | 1.03517 | + | 12.7815i | 0.0714333 | + | 0.882008i | ||||
\(211\) | 14.5986 | + | 8.42853i | 1.00501 | + | 0.580244i | 0.909727 | − | 0.415206i | \(-0.136290\pi\) |
0.0952848 | + | 0.995450i | \(0.469624\pi\) | |||||||
\(212\) | −2.65058 | − | 1.04180i | −0.182042 | − | 0.0715513i | ||||
\(213\) | −4.30744 | − | 4.30744i | −0.295141 | − | 0.295141i | ||||
\(214\) | −7.03058 | + | 0.525103i | −0.480601 | + | 0.0358953i | ||||
\(215\) | 3.19696 | − | 3.23726i | 0.218031 | − | 0.220779i | ||||
\(216\) | −15.4005 | + | 3.50292i | −1.04787 | + | 0.238343i | ||||
\(217\) | 7.57748 | − | 4.37486i | 0.514393 | − | 0.296985i | ||||
\(218\) | −10.1572 | − | 1.92447i | −0.687931 | − | 0.130342i | ||||
\(219\) | −0.239735 | − | 0.894702i | −0.0161998 | − | 0.0604584i | ||||
\(220\) | −23.1608 | + | 3.62757i | −1.56150 | + | 0.244571i | ||||
\(221\) | 14.0974 | + | 13.0312i | 0.948294 | + | 0.876575i | ||||
\(222\) | 1.92088 | + | 5.49396i | 0.128921 | + | 0.368731i | ||||
\(223\) | −5.18448 | − | 19.3487i | −0.347178 | − | 1.29569i | −0.890046 | − | 0.455870i | \(-0.849328\pi\) |
0.542868 | − | 0.839818i | \(-0.317338\pi\) | |||||||
\(224\) | 16.4037 | + | 7.18125i | 1.09602 | + | 0.479817i | ||||
\(225\) | 5.92652 | + | 3.32340i | 0.395101 | + | 0.221560i | ||||
\(226\) | −11.5032 | − | 5.54317i | −0.765178 | − | 0.368726i | ||||
\(227\) | 23.7809 | + | 6.37207i | 1.57839 | + | 0.422929i | 0.938428 | − | 0.345474i | \(-0.112282\pi\) |
0.639966 | + | 0.768403i | \(0.278949\pi\) | |||||||
\(228\) | −8.70019 | + | 3.79068i | −0.576184 | + | 0.251044i | ||||
\(229\) | −6.27597 | − | 6.27597i | −0.414728 | − | 0.414728i | 0.468654 | − | 0.883382i | \(-0.344739\pi\) |
−0.883382 | + | 0.468654i | \(0.844739\pi\) | |||||||
\(230\) | −2.71813 | − | 7.62065i | −0.179228 | − | 0.502491i | ||||
\(231\) | 10.6285 | − | 18.4092i | 0.699306 | − | 1.21123i | ||||
\(232\) | 0.958459 | − | 3.09900i | 0.0629259 | − | 0.203459i | ||||
\(233\) | 16.5736 | 1.08577 | 0.542886 | − | 0.839806i | \(-0.317332\pi\) | ||||
0.542886 | + | 0.839806i | \(0.317332\pi\) | |||||||
\(234\) | −1.02159 | + | 6.85360i | −0.0667833 | + | 0.448034i | ||||
\(235\) | −10.4488 | − | 5.94569i | −0.681606 | − | 0.387854i | ||||
\(236\) | 16.1469 | − | 21.8555i | 1.05108 | − | 1.42267i | ||||
\(237\) | 7.30829 | + | 4.21945i | 0.474725 | + | 0.274082i | ||||
\(238\) | 18.0631 | + | 15.5524i | 1.17086 | + | 1.00811i | ||||
\(239\) | 5.15038 | + | 5.15038i | 0.333150 | + | 0.333150i | 0.853782 | − | 0.520631i | \(-0.174303\pi\) |
−0.520631 | + | 0.853782i | \(0.674303\pi\) | |||||||
\(240\) | −9.66948 | + | 6.14696i | −0.624162 | + | 0.396785i | ||||
\(241\) | 4.59936 | − | 17.1650i | 0.296271 | − | 1.10570i | −0.643932 | − | 0.765083i | \(-0.722698\pi\) |
0.940203 | − | 0.340615i | \(-0.110635\pi\) | |||||||
\(242\) | 20.9946 | + | 10.1169i | 1.34958 | + | 0.650341i | ||||
\(243\) | −6.40546 | − | 11.0946i | −0.410911 | − | 0.711718i | ||||
\(244\) | −29.5020 | + | 4.43163i | −1.88867 | + | 0.283706i | ||||
\(245\) | 6.53435 | + | 1.70708i | 0.417464 | + | 0.109062i | ||||
\(246\) | −5.98310 | − | 17.1124i | −0.381468 | − | 1.09105i | ||||
\(247\) | 0.524463 | + | 13.3450i | 0.0333708 | + | 0.849120i | ||||
\(248\) | 6.61661 | + | 4.16441i | 0.420155 | + | 0.264441i | ||||
\(249\) | −1.07806 | − | 4.02337i | −0.0683192 | − | 0.254971i | ||||
\(250\) | 15.5876 | + | 2.65101i | 0.985844 | + | 0.167665i | ||||
\(251\) | −6.87561 | − | 11.9089i | −0.433984 | − | 0.751683i | 0.563228 | − | 0.826302i | \(-0.309559\pi\) |
−0.997212 | + | 0.0746187i | \(0.976226\pi\) | |||||||
\(252\) | −0.967557 | + | 8.54891i | −0.0609504 | + | 0.538531i | ||||
\(253\) | −3.47132 | + | 12.9551i | −0.218240 | + | 0.814483i | ||||
\(254\) | 0.132152 | + | 1.76938i | 0.00829195 | + | 0.111021i | ||||
\(255\) | −14.7071 | + | 4.03966i | −0.920996 | + | 0.252973i | ||||
\(256\) | 1.16379 | + | 15.9576i | 0.0727369 | + | 0.997351i | ||||
\(257\) | −5.70735 | + | 9.88541i | −0.356014 | + | 0.616635i | −0.987291 | − | 0.158923i | \(-0.949198\pi\) |
0.631277 | + | 0.775558i | \(0.282531\pi\) | |||||||
\(258\) | −3.04621 | + | 2.07576i | −0.189649 | + | 0.129231i | ||||
\(259\) | 10.1694 | 0.631895 | ||||||||
\(260\) | 3.11875 | + | 15.8200i | 0.193417 | + | 0.981117i | ||||
\(261\) | 1.55854 | 0.0964710 | ||||||||
\(262\) | 13.7363 | − | 9.36022i | 0.848631 | − | 0.578276i | ||||
\(263\) | −11.2907 | + | 19.5560i | −0.696212 | + | 1.20588i | 0.273558 | + | 0.961856i | \(0.411799\pi\) |
−0.969770 | + | 0.244020i | \(0.921534\pi\) | |||||||
\(264\) | 18.9798 | + | 0.724419i | 1.16813 | + | 0.0445849i | ||||
\(265\) | −0.843358 | − | 3.07040i | −0.0518070 | − | 0.188613i | ||||
\(266\) | 1.23504 | + | 16.5360i | 0.0757254 | + | 1.01388i | ||||
\(267\) | −0.973726 | + | 3.63400i | −0.0595911 | + | 0.222397i | ||||
\(268\) | 19.4644 | + | 2.20296i | 1.18898 | + | 0.134567i | ||||
\(269\) | −0.264467 | − | 0.458070i | −0.0161248 | − | 0.0279290i | 0.857850 | − | 0.513899i | \(-0.171800\pi\) |
−0.873975 | + | 0.485970i | \(0.838466\pi\) | |||||||
\(270\) | −13.4533 | − | 11.4374i | −0.818743 | − | 0.696060i | ||||
\(271\) | −1.18825 | − | 4.43460i | −0.0721809 | − | 0.269383i | 0.920398 | − | 0.390982i | \(-0.127864\pi\) |
−0.992579 | + | 0.121599i | \(0.961198\pi\) | |||||||
\(272\) | −4.75997 | + | 20.7591i | −0.288616 | + | 1.25871i | ||||
\(273\) | −12.9394 | − | 6.80756i | −0.783126 | − | 0.412012i | ||||
\(274\) | 0.107069 | + | 0.306232i | 0.00646829 | + | 0.0185001i | ||||
\(275\) | −18.7642 | − | 18.2999i | −1.13152 | − | 1.10352i | ||||
\(276\) | 0.973766 | + | 6.48249i | 0.0586138 | + | 0.390200i | ||||
\(277\) | −4.51565 | − | 7.82133i | −0.271319 | − | 0.469938i | 0.697881 | − | 0.716214i | \(-0.254126\pi\) |
−0.969200 | + | 0.246276i | \(0.920793\pi\) | |||||||
\(278\) | 8.18186 | + | 3.94270i | 0.490715 | + | 0.236467i | ||||
\(279\) | −0.972195 | + | 3.62828i | −0.0582038 | + | 0.217220i | ||||
\(280\) | 4.56249 | + | 19.4935i | 0.272661 | + | 1.16496i | ||||
\(281\) | 4.26190 | + | 4.26190i | 0.254244 | + | 0.254244i | 0.822708 | − | 0.568464i | \(-0.192462\pi\) |
−0.568464 | + | 0.822708i | \(0.692462\pi\) | |||||||
\(282\) | 7.38122 | + | 6.35527i | 0.439545 | + | 0.378451i | ||||
\(283\) | 20.5107 | + | 11.8419i | 1.21923 | + | 0.703925i | 0.964754 | − | 0.263153i | \(-0.0847623\pi\) |
0.254480 | + | 0.967078i | \(0.418096\pi\) | |||||||
\(284\) | −7.64930 | − | 5.65135i | −0.453902 | − | 0.335346i | ||||
\(285\) | −9.22182 | − | 5.24749i | −0.546254 | − | 0.310834i | ||||
\(286\) | 10.6489 | − | 24.5165i | 0.629682 | − | 1.44969i | ||||
\(287\) | −31.6753 | −1.86973 | ||||||||
\(288\) | −7.15949 | + | 2.79958i | −0.421877 | + | 0.164967i | ||||
\(289\) | −5.67498 | + | 9.82936i | −0.333823 | + | 0.578198i | ||||
\(290\) | 3.41593 | − | 1.21839i | 0.200590 | − | 0.0715463i | ||||
\(291\) | −9.62391 | − | 9.62391i | −0.564163 | − | 0.564163i | ||||
\(292\) | −0.577629 | − | 1.32575i | −0.0338032 | − | 0.0775834i | ||||
\(293\) | −15.6265 | − | 4.18711i | −0.912911 | − | 0.244614i | −0.228358 | − | 0.973577i | \(-0.573336\pi\) |
−0.684553 | + | 0.728963i | \(0.740002\pi\) | |||||||
\(294\) | −4.92932 | − | 2.37535i | −0.287484 | − | 0.138533i | ||||
\(295\) | 30.3800 | − | 0.190274i | 1.76879 | − | 0.0110782i | ||||
\(296\) | 4.23984 | + | 8.03673i | 0.246435 | + | 0.467126i | ||||
\(297\) | 7.57601 | + | 28.2741i | 0.439605 | + | 1.64063i | ||||
\(298\) | −5.58380 | − | 15.9704i | −0.323461 | − | 0.925140i | ||||
\(299\) | 8.99759 | + | 2.03585i | 0.520344 | + | 0.117736i | ||||
\(300\) | −11.9802 | − | 4.53640i | −0.691679 | − | 0.261909i | ||||
\(301\) | 1.66702 | + | 6.22142i | 0.0960857 | + | 0.358597i | ||||
\(302\) | 14.2150 | + | 2.69331i | 0.817984 | + | 0.154983i | ||||
\(303\) | 17.6935 | − | 10.2153i | 1.01646 | − | 0.586855i | ||||
\(304\) | −12.5532 | + | 7.87023i | −0.719977 | + | 0.451389i | ||||
\(305\) | −23.7323 | − | 23.4368i | −1.35891 | − | 1.34199i | ||||
\(306\) | −10.2044 | + | 0.762150i | −0.583346 | + | 0.0435692i | ||||
\(307\) | −6.13780 | − | 6.13780i | −0.350303 | − | 0.350303i | 0.509920 | − | 0.860222i | \(-0.329675\pi\) |
−0.860222 | + | 0.509920i | \(0.829675\pi\) | |||||||
\(308\) | 12.1401 | − | 30.8872i | 0.691749 | − | 1.75996i | ||||
\(309\) | 6.10473 | + | 3.52457i | 0.347286 | + | 0.200506i | ||||
\(310\) | 0.705606 | + | 8.71232i | 0.0400757 | + | 0.494827i | ||||
\(311\) | −16.0499 | −0.910109 | −0.455054 | − | 0.890464i | \(-0.650380\pi\) | ||||
−0.455054 | + | 0.890464i | \(0.650380\pi\) | |||||||
\(312\) | −0.0147731 | − | 13.0640i | −0.000836360 | − | 0.739605i | ||||
\(313\) | 3.80254i | 0.214932i | 0.994209 | + | 0.107466i | \(0.0342737\pi\) | ||||
−0.994209 | + | 0.107466i | \(0.965726\pi\) | |||||||
\(314\) | 0.344906 | − | 0.235027i | 0.0194642 | − | 0.0132633i | ||||
\(315\) | −8.30001 | + | 4.86157i | −0.467652 | + | 0.273919i | ||||
\(316\) | 12.2620 | + | 4.81954i | 0.689790 | + | 0.271120i | ||||
\(317\) | −16.2722 | − | 16.2722i | −0.913937 | − | 0.913937i | 0.0826420 | − | 0.996579i | \(-0.473664\pi\) |
−0.996579 | + | 0.0826420i | \(0.973664\pi\) | |||||||
\(318\) | 0.192143 | + | 2.57260i | 0.0107749 | + | 0.144264i | ||||
\(319\) | −5.80709 | − | 1.55601i | −0.325135 | − | 0.0871196i | ||||
\(320\) | −13.5033 | + | 11.7329i | −0.754856 | + | 0.655891i | ||||
\(321\) | 3.19312 | + | 5.53064i | 0.178222 | + | 0.308690i | ||||
\(322\) | 11.2537 | + | 2.13222i | 0.627142 | + | 0.118824i | ||||
\(323\) | −19.0503 | + | 5.10451i | −1.05999 | + | 0.284022i | ||||
\(324\) | 3.83381 | + | 4.81237i | 0.212989 | + | 0.267354i | ||||
\(325\) | −12.0703 | + | 13.3906i | −0.669542 | + | 0.742774i | ||||
\(326\) | −5.07557 | + | 1.77460i | −0.281110 | + | 0.0982858i | ||||
\(327\) | 2.42367 | + | 9.04527i | 0.134029 | + | 0.500205i | ||||
\(328\) | −13.2061 | − | 25.0325i | −0.729185 | − | 1.38219i | ||||
\(329\) | 14.7389 | − | 8.50950i | 0.812581 | − | 0.469144i | ||||
\(330\) | 12.0677 | + | 17.4733i | 0.664304 | + | 0.961876i | ||||
\(331\) | 5.42580 | − | 20.2493i | 0.298229 | − | 1.11300i | −0.640390 | − | 0.768050i | \(-0.721227\pi\) |
0.938619 | − | 0.344955i | \(-0.112106\pi\) | |||||||
\(332\) | −2.59753 | − | 5.96172i | −0.142558 | − | 0.327192i | ||||
\(333\) | −3.08704 | + | 3.08704i | −0.169169 | + | 0.169169i | ||||
\(334\) | −12.0095 | − | 10.3402i | −0.657129 | − | 0.565791i | ||||
\(335\) | 11.0690 | + | 18.8977i | 0.604763 | + | 1.03249i | ||||
\(336\) | −0.590302 | − | 16.2097i | −0.0322036 | − | 0.884309i | ||||
\(337\) | 14.9384 | 0.813745 | 0.406873 | − | 0.913485i | \(-0.366619\pi\) | ||||
0.406873 | + | 0.913485i | \(0.366619\pi\) | |||||||
\(338\) | −17.1374 | − | 6.65659i | −0.932151 | − | 0.362071i | ||||
\(339\) | 11.5666i | 0.628211i | ||||||||
\(340\) | −21.7697 | + | 9.64775i | −1.18063 | + | 0.523223i | ||||
\(341\) | 7.24478 | − | 12.5483i | 0.392327 | − | 0.679530i | ||||
\(342\) | −5.39460 | − | 4.64478i | −0.291707 | − | 0.251161i | ||||
\(343\) | 8.90786 | − | 8.90786i | 0.480979 | − | 0.480979i | ||||
\(344\) | −4.22169 | + | 3.91127i | −0.227618 | + | 0.210882i | ||||
\(345\) | −5.14980 | + | 5.21471i | −0.277256 | + | 0.280751i | ||||
\(346\) | 10.9538 | − | 22.7313i | 0.588880 | − | 1.22204i | ||||
\(347\) | −3.71138 | − | 6.42830i | −0.199237 | − | 0.345089i | 0.749044 | − | 0.662520i | \(-0.230513\pi\) |
−0.948281 | + | 0.317431i | \(0.897180\pi\) | |||||||
\(348\) | −2.90575 | + | 0.436487i | −0.155765 | + | 0.0233982i | ||||
\(349\) | 9.75792 | − | 2.61463i | 0.522329 | − | 0.139958i | 0.0119854 | − | 0.999928i | \(-0.496185\pi\) |
0.510344 | + | 0.859970i | \(0.329518\pi\) | |||||||
\(350\) | −14.3910 | + | 17.1439i | −0.769233 | + | 0.916382i | ||||
\(351\) | 19.2276 | − | 5.97055i | 1.02629 | − | 0.318684i | ||||
\(352\) | 29.4712 | − | 3.28333i | 1.57082 | − | 0.175002i | ||||
\(353\) | 14.7932 | − | 3.96383i | 0.787364 | − | 0.210974i | 0.157335 | − | 0.987545i | \(-0.449710\pi\) |
0.630029 | + | 0.776572i | \(0.283043\pi\) | |||||||
\(354\) | −24.1840 | − | 4.58212i | −1.28537 | − | 0.243537i | ||||
\(355\) | −0.0665947 | − | 10.6328i | −0.00353448 | − | 0.564333i | ||||
\(356\) | −0.660559 | + | 5.83641i | −0.0350096 | + | 0.309329i | ||||
\(357\) | 5.58823 | − | 20.8556i | 0.295760 | − | 1.10379i | ||||
\(358\) | −33.6786 | + | 2.51540i | −1.77997 | + | 0.132943i | ||||
\(359\) | −10.9817 | + | 10.9817i | −0.579590 | + | 0.579590i | −0.934790 | − | 0.355200i | \(-0.884413\pi\) |
0.355200 | + | 0.934790i | \(0.384413\pi\) | |||||||
\(360\) | −7.30249 | − | 4.53249i | −0.384875 | − | 0.238883i | ||||
\(361\) | 4.57239 | + | 2.63987i | 0.240652 | + | 0.138940i | ||||
\(362\) | −18.4654 | + | 12.5827i | −0.970520 | + | 0.661334i | ||||
\(363\) | − | 21.1104i | − | 1.10801i | ||||||
\(364\) | −21.5561 | − | 7.50942i | −1.12985 | − | 0.393600i | ||||
\(365\) | 0.799620 | − | 1.40523i | 0.0418540 | − | 0.0735533i | ||||
\(366\) | 15.2173 | + | 22.3317i | 0.795422 | + | 1.16730i | ||||
\(367\) | 2.03837 | − | 3.53057i | 0.106402 | − | 0.184294i | −0.807908 | − | 0.589309i | \(-0.799400\pi\) |
0.914310 | + | 0.405014i | \(0.132734\pi\) | |||||||
\(368\) | 3.00683 | + | 9.78259i | 0.156742 | + | 0.509953i | ||||
\(369\) | 9.61541 | − | 9.61541i | 0.500558 | − | 0.500558i | ||||
\(370\) | −4.35274 | + | 9.17934i | −0.226288 | + | 0.477211i | ||||
\(371\) | 4.35401 | + | 1.16665i | 0.226049 | + | 0.0605696i | ||||
\(372\) | 0.796427 | − | 7.03688i | 0.0412928 | − | 0.364845i | ||||
\(373\) | 14.8807 | − | 8.59138i | 0.770494 | − | 0.444845i | −0.0625571 | − | 0.998041i | \(-0.519926\pi\) |
0.833051 | + | 0.553197i | \(0.186592\pi\) | |||||||
\(374\) | 38.7824 | + | 7.34806i | 2.00539 | + | 0.379959i | ||||
\(375\) | −3.96618 | − | 13.7623i | −0.204812 | − | 0.710682i | ||||
\(376\) | 12.8699 | + | 8.10016i | 0.663714 | + | 0.417734i | ||||
\(377\) | −0.912562 | + | 4.03314i | −0.0469993 | + | 0.207717i | ||||
\(378\) | 23.5969 | − | 8.25030i | 1.21369 | − | 0.424349i | ||||
\(379\) | 2.96512 | − | 0.794503i | 0.152308 | − | 0.0408109i | −0.181859 | − | 0.983325i | \(-0.558212\pi\) |
0.334168 | + | 0.942514i | \(0.391545\pi\) | |||||||
\(380\) | −15.4547 | − | 5.96297i | −0.792810 | − | 0.305894i | ||||
\(381\) | 1.39189 | − | 0.803607i | 0.0713086 | − | 0.0411701i | ||||
\(382\) | 1.64458 | + | 0.792493i | 0.0841440 | + | 0.0405475i | ||||
\(383\) | −6.59714 | − | 1.76770i | −0.337098 | − | 0.0903252i | 0.0862991 | − | 0.996269i | \(-0.472496\pi\) |
−0.423397 | + | 0.905944i | \(0.639163\pi\) | |||||||
\(384\) | 12.5642 | − | 7.22466i | 0.641163 | − | 0.368682i | ||||
\(385\) | 35.7794 | − | 9.82766i | 1.82349 | − | 0.500864i | ||||
\(386\) | −12.5511 | + | 14.5773i | −0.638835 | + | 0.741965i | ||||
\(387\) | −2.39463 | − | 1.38254i | −0.121726 | − | 0.0702786i | ||||
\(388\) | −17.0905 | − | 12.6265i | −0.867637 | − | 0.641015i | ||||
\(389\) | 18.5642i | 0.941243i | 0.882335 | + | 0.470621i | \(0.155970\pi\) | ||||
−0.882335 | + | 0.470621i | \(0.844030\pi\) | |||||||
\(390\) | 11.6832 | − | 8.76585i | 0.591600 | − | 0.443876i | ||||
\(391\) | 13.6230i | 0.688945i | ||||||||
\(392\) | −8.16135 | − | 2.52414i | −0.412210 | − | 0.127488i | ||||
\(393\) | −13.0397 | − | 7.52845i | −0.657764 | − | 0.379760i | ||||
\(394\) | −22.1945 | − | 19.1096i | −1.11814 | − | 0.962727i | ||||
\(395\) | 3.90150 | + | 14.2042i | 0.196306 | + | 0.714689i | ||||
\(396\) | 5.69089 | + | 13.0615i | 0.285978 | + | 0.656364i | ||||
\(397\) | 8.47931 | + | 2.27202i | 0.425564 | + | 0.114030i | 0.465243 | − | 0.885183i | \(-0.345967\pi\) |
−0.0396789 | + | 0.999212i | \(0.512633\pi\) | |||||||
\(398\) | −8.39304 | + | 17.4172i | −0.420705 | + | 0.873045i | ||||
\(399\) | 13.0081 | − | 7.51023i | 0.651219 | − | 0.375982i | ||||
\(400\) | −19.5486 | − | 4.22537i | −0.977428 | − | 0.211269i | ||||
\(401\) | −13.5256 | + | 3.62418i | −0.675437 | + | 0.180983i | −0.580203 | − | 0.814472i | \(-0.697027\pi\) |
−0.0952343 | + | 0.995455i | \(0.530360\pi\) | |||||||
\(402\) | −5.85628 | − | 16.7497i | −0.292085 | − | 0.835400i | ||||
\(403\) | −8.81992 | − | 4.64027i | −0.439352 | − | 0.231148i | ||||
\(404\) | 24.9481 | − | 19.8751i | 1.24121 | − | 0.988821i | ||||
\(405\) | −1.73878 | + | 6.65566i | −0.0864005 | + | 0.330723i | ||||
\(406\) | −0.955760 | + | 5.04441i | −0.0474336 | + | 0.250350i | ||||
\(407\) | 14.5843 | − | 8.42026i | 0.722918 | − | 0.417377i | ||||
\(408\) | 18.8117 | − | 4.27882i | 0.931319 | − | 0.211833i | ||||
\(409\) | −10.0414 | − | 2.69057i | −0.496513 | − | 0.133040i | 0.00186827 | − | 0.999998i | \(-0.499405\pi\) |
−0.498381 | + | 0.866958i | \(0.666072\pi\) | |||||||
\(410\) | 13.5578 | − | 28.5915i | 0.669570 | − | 1.41203i | ||||
\(411\) | 0.207790 | − | 0.207790i | 0.0102495 | − | 0.0102495i | ||||
\(412\) | 10.2426 | + | 4.02584i | 0.504617 | + | 0.198339i | ||||
\(413\) | −21.5042 | + | 37.2463i | −1.05815 | + | 1.83277i | ||||
\(414\) | −4.06345 | + | 2.76893i | −0.199708 | + | 0.136085i | ||||
\(415\) | 3.59579 | − | 6.31917i | 0.176510 | − | 0.310196i | ||||
\(416\) | −3.05261 | − | 20.1663i | −0.149666 | − | 0.988737i | ||||
\(417\) | − | 8.22698i | − | 0.402877i | ||||||
\(418\) | 15.4630 | + | 22.6922i | 0.756321 | + | 1.10991i | ||||
\(419\) | −7.78576 | − | 4.49511i | −0.380359 | − | 0.219600i | 0.297615 | − | 0.954686i | \(-0.403809\pi\) |
−0.677975 | + | 0.735085i | \(0.737142\pi\) | |||||||
\(420\) | 14.1131 | − | 11.3885i | 0.688648 | − | 0.555702i | ||||
\(421\) | −8.88636 | + | 8.88636i | −0.433095 | + | 0.433095i | −0.889680 | − | 0.456585i | \(-0.849072\pi\) |
0.456585 | + | 0.889680i | \(0.349072\pi\) | |||||||
\(422\) | −1.77559 | − | 23.7733i | −0.0864343 | − | 1.15726i | ||||
\(423\) | −1.89101 | + | 7.05733i | −0.0919438 | + | 0.343139i | ||||
\(424\) | 0.893289 | + | 3.92732i | 0.0433819 | + | 0.190727i | ||||
\(425\) | −23.2205 | − | 13.0213i | −1.12636 | − | 0.631628i | ||||
\(426\) | −1.60372 | + | 8.46428i | −0.0777005 | + | 0.410096i | ||||
\(427\) | 45.6090 | − | 12.2209i | 2.20718 | − | 0.591411i | ||||
\(428\) | 6.21257 | + | 7.79831i | 0.300296 | + | 0.376945i | ||||
\(429\) | −24.1935 | + | 0.950816i | −1.16807 | + | 0.0459058i | ||||
\(430\) | −6.32926 | − | 1.15818i | −0.305224 | − | 0.0558525i | ||||
\(431\) | 4.45690 | − | 1.19422i | 0.214681 | − | 0.0575236i | −0.149875 | − | 0.988705i | \(-0.547887\pi\) |
0.364557 | + | 0.931181i | \(0.381221\pi\) | |||||||
\(432\) | 16.3582 | + | 15.2086i | 0.787032 | + | 0.731724i | ||||
\(433\) | 0.167761 | + | 0.290571i | 0.00806209 | + | 0.0139639i | 0.870028 | − | 0.493002i | \(-0.164100\pi\) |
−0.861966 | + | 0.506966i | \(0.830767\pi\) | |||||||
\(434\) | −11.1472 | − | 5.37165i | −0.535084 | − | 0.257848i | ||||
\(435\) | −2.33748 | − | 2.30838i | −0.112073 | − | 0.110678i | ||||
\(436\) | 5.83972 | + | 13.4030i | 0.279672 | + | 0.641890i | ||||
\(437\) | −6.70136 | + | 6.70136i | −0.320569 | + | 0.320569i | ||||
\(438\) | −0.854702 | + | 0.992680i | −0.0408392 | + | 0.0474321i | ||||
\(439\) | −8.35847 | + | 14.4773i | −0.398928 | + | 0.690964i | −0.993594 | − | 0.113009i | \(-0.963951\pi\) |
0.594666 | + | 0.803973i | \(0.297284\pi\) | |||||||
\(440\) | 22.6839 | + | 24.1787i | 1.08141 | + | 1.15267i | ||||
\(441\) | − | 4.10447i | − | 0.195451i | ||||||
\(442\) | 4.00266 | − | 26.8529i | 0.190387 | − | 1.27726i | ||||
\(443\) | 9.18330 | 0.436312 | 0.218156 | − | 0.975914i | \(-0.429996\pi\) | ||||
0.218156 | + | 0.975914i | \(0.429996\pi\) | |||||||
\(444\) | 4.89095 | − | 6.62008i | 0.232114 | − | 0.314175i | ||||
\(445\) | −5.66648 | + | 3.31904i | −0.268617 | + | 0.157337i | ||||
\(446\) | −18.4837 | + | 21.4676i | −0.875229 | + | 1.01652i | ||||
\(447\) | −10.8365 | + | 10.8365i | −0.512550 | + | 0.512550i | ||||
\(448\) | −4.67071 | − | 24.8895i | −0.220670 | − | 1.17592i | ||||
\(449\) | 0.0848801 | − | 0.316777i | 0.00400574 | − | 0.0149496i | −0.963894 | − | 0.266286i | \(-0.914203\pi\) |
0.967900 | + | 0.251336i | \(0.0808701\pi\) | |||||||
\(450\) | −0.835677 | − | 9.57283i | −0.0393942 | − | 0.451267i | ||||
\(451\) | −45.4268 | + | 26.2271i | −2.13906 | + | 1.23499i | ||||
\(452\) | 2.68251 | + | 17.8578i | 0.126175 | + | 0.839962i | ||||
\(453\) | −3.39195 | − | 12.6589i | −0.159368 | − | 0.594768i | ||||
\(454\) | −11.4913 | − | 32.8667i | −0.539315 | − | 1.54251i | ||||
\(455\) | −7.72079 | − | 24.3251i | −0.361956 | − | 1.14038i | ||||
\(456\) | 11.3586 | + | 7.14895i | 0.531915 | + | 0.334780i | ||||
\(457\) | −35.0417 | + | 9.38941i | −1.63918 | + | 0.439218i | −0.956556 | − | 0.291548i | \(-0.905830\pi\) |
−0.682628 | + | 0.730766i | \(0.739163\pi\) | |||||||
\(458\) | −2.33663 | + | 12.3325i | −0.109184 | + | 0.576261i | ||||
\(459\) | 14.8658 | + | 25.7484i | 0.693877 | + | 1.20183i | ||||
\(460\) | −6.74147 | + | 9.24542i | −0.314323 | + | 0.431070i | ||||
\(461\) | 8.10674 | + | 2.17219i | 0.377568 | + | 0.101169i | 0.442612 | − | 0.896713i | \(-0.354052\pi\) |
−0.0650435 | + | 0.997882i | \(0.520719\pi\) | |||||||
\(462\) | −29.9785 | + | 2.23905i | −1.39473 | + | 0.104170i | ||||
\(463\) | −1.21737 | − | 1.21737i | −0.0565762 | − | 0.0565762i | 0.678253 | − | 0.734829i | \(-0.262738\pi\) |
−0.734829 | + | 0.678253i | \(0.762738\pi\) | |||||||
\(464\) | −4.38501 | + | 1.34780i | −0.203569 | + | 0.0625700i | ||||
\(465\) | 6.83200 | − | 4.00172i | 0.316827 | − | 0.185575i | ||||
\(466\) | −13.1986 | − | 19.3692i | −0.611413 | − | 0.897260i | ||||
\(467\) | 27.0920i | 1.25367i | 0.779153 | + | 0.626834i | \(0.215649\pi\) | ||||
−0.779153 | + | 0.626834i | \(0.784351\pi\) | |||||||
\(468\) | 8.82320 | − | 4.26404i | 0.407852 | − | 0.197105i | ||||
\(469\) | −31.0039 | −1.43163 | ||||||||
\(470\) | 1.37247 | + | 16.9462i | 0.0633071 | + | 0.781672i | ||||
\(471\) | −0.327414 | − | 0.189033i | −0.0150865 | − | 0.00871017i | ||||
\(472\) | −38.4008 | − | 1.46568i | −1.76754 | − | 0.0674634i | ||||
\(473\) | 7.54209 | + | 7.54209i | 0.346785 | + | 0.346785i | ||||
\(474\) | −0.888885 | − | 11.9012i | −0.0408278 | − | 0.546642i | ||||
\(475\) | −5.01714 | − | 17.8279i | −0.230202 | − | 0.818001i | ||||
\(476\) | 3.79096 | − | 33.4953i | 0.173758 | − | 1.53525i | ||||
\(477\) | −1.67586 | + | 0.967561i | −0.0767326 | + | 0.0443016i | ||||
\(478\) | 1.91756 | − | 10.1207i | 0.0877071 | − | 0.462910i | ||||
\(479\) | 5.80742 | + | 21.6736i | 0.265348 | + | 0.990291i | 0.962037 | + | 0.272919i | \(0.0879889\pi\) |
−0.696689 | + | 0.717373i | \(0.745344\pi\) | |||||||
\(480\) | 14.8842 | + | 6.40528i | 0.679369 | + | 0.292360i | ||||
\(481\) | −6.18102 | − | 9.79610i | −0.281830 | − | 0.446664i | ||||
\(482\) | −23.7232 | + | 8.29444i | −1.08056 | + | 0.377801i | ||||
\(483\) | −2.68531 | − | 10.0217i | −0.122186 | − | 0.456004i | ||||
\(484\) | −4.89590 | − | 32.5927i | −0.222541 | − | 1.48149i | ||||
\(485\) | −0.148790 | − | 23.7565i | −0.00675618 | − | 1.07873i | ||||
\(486\) | −7.86491 | + | 16.3212i | −0.356760 | + | 0.740346i | ||||
\(487\) | −2.90085 | − | 0.777279i | −0.131450 | − | 0.0352219i | 0.192494 | − | 0.981298i | \(-0.438342\pi\) |
−0.323944 | + | 0.946076i | \(0.605009\pi\) | |||||||
\(488\) | 28.6734 | + | 30.9491i | 1.29798 | + | 1.40100i | ||||
\(489\) | 3.44397 | + | 3.44397i | 0.155742 | + | 0.155742i | ||||
\(490\) | −3.20868 | − | 8.99600i | −0.144954 | − | 0.406398i | ||||
\(491\) | −3.60396 | + | 6.24225i | −0.162645 | + | 0.281709i | −0.935816 | − | 0.352488i | \(-0.885336\pi\) |
0.773172 | + | 0.634197i | \(0.218669\pi\) | |||||||
\(492\) | −15.2342 | + | 20.6200i | −0.686810 | + | 0.929621i | ||||
\(493\) | −6.10646 | −0.275021 | ||||||||
\(494\) | 15.1783 | − | 11.2404i | 0.682904 | − | 0.505728i | ||||
\(495\) | −7.87798 | + | 13.8446i | −0.354089 | + | 0.622268i | ||||
\(496\) | −0.402370 | − | 11.0491i | −0.0180670 | − | 0.496118i | ||||
\(497\) | 13.0360 | + | 7.52634i | 0.584745 | + | 0.337603i | ||||
\(498\) | −3.84349 | + | 4.46396i | −0.172231 | + | 0.200035i | ||||
\(499\) | 30.2228 | + | 30.2228i | 1.35296 | + | 1.35296i | 0.882331 | + | 0.470629i | \(0.155973\pi\) |
0.470629 | + | 0.882331i | \(0.344027\pi\) | |||||||
\(500\) | −9.31518 | − | 20.3280i | −0.416588 | − | 0.909096i | ||||
\(501\) | −3.71541 | + | 13.8661i | −0.165992 | + | 0.619491i | ||||
\(502\) | −8.44218 | + | 17.5192i | −0.376793 | + | 0.781919i | ||||
\(503\) | 13.7312 | + | 23.7832i | 0.612244 | + | 1.06044i | 0.990861 | + | 0.134885i | \(0.0430664\pi\) |
−0.378617 | + | 0.925553i | \(0.623600\pi\) | |||||||
\(504\) | 10.7614 | − | 5.67727i | 0.479353 | − | 0.252886i | ||||
\(505\) | 34.5040 | + | 9.01410i | 1.53541 | + | 0.401122i | ||||
\(506\) | 17.9048 | − | 6.26014i | 0.795966 | − | 0.278297i | ||||
\(507\) | 1.30696 | + | 16.6021i | 0.0580440 | + | 0.737324i | ||||
\(508\) | 1.96259 | − | 1.56351i | 0.0870758 | − | 0.0693695i | ||||
\(509\) | 1.06833 | + | 3.98708i | 0.0473531 | + | 0.176724i | 0.985552 | − | 0.169372i | \(-0.0541739\pi\) |
−0.938199 | + | 0.346096i | \(0.887507\pi\) | |||||||
\(510\) | 16.4333 | + | 13.9709i | 0.727677 | + | 0.618640i | ||||
\(511\) | 1.14442 | + | 1.98219i | 0.0506261 | + | 0.0876870i | ||||
\(512\) | 17.7225 | − | 14.0682i | 0.783231 | − | 0.621730i | ||||
\(513\) | −5.35328 | + | 19.9787i | −0.236353 | + | 0.882082i | ||||
\(514\) | 16.0980 | − | 1.20233i | 0.710051 | − | 0.0530326i | ||||
\(515\) | 3.25899 | + | 11.8650i | 0.143608 | + | 0.522832i | ||||
\(516\) | 4.85178 | + | 1.90698i | 0.213588 | + | 0.0839502i | ||||
\(517\) | 14.0917 | − | 24.4076i | 0.619754 | − | 1.07345i | ||||
\(518\) | −8.09852 | − | 11.8847i | −0.355829 | − | 0.522185i | ||||
\(519\) | −22.8566 | −1.00329 | ||||||||
\(520\) | 16.0049 | − | 16.2433i | 0.701859 | − | 0.712316i | ||||
\(521\) | 31.6966 | 1.38865 | 0.694326 | − | 0.719660i | \(-0.255702\pi\) | ||||
0.694326 | + | 0.719660i | \(0.255702\pi\) | |||||||
\(522\) | −1.24116 | − | 1.82143i | −0.0543241 | − | 0.0797216i | ||||
\(523\) | −14.2647 | + | 24.7072i | −0.623751 | + | 1.08037i | 0.365030 | + | 0.930996i | \(0.381059\pi\) |
−0.988781 | + | 0.149373i | \(0.952275\pi\) | |||||||
\(524\) | −21.8781 | − | 8.59916i | −0.955751 | − | 0.375656i | ||||
\(525\) | 19.6488 | + | 5.00196i | 0.857545 | + | 0.218304i | ||||
\(526\) | 31.8461 | − | 2.37854i | 1.38856 | − | 0.103709i | ||||
\(527\) | 3.80913 | − | 14.2159i | 0.165928 | − | 0.619253i | ||||
\(528\) | −14.2682 | − | 22.7582i | −0.620943 | − | 0.990421i | ||||
\(529\) | −8.22687 | − | 14.2494i | −0.357690 | − | 0.619537i | ||||
\(530\) | −2.91669 | + | 3.43077i | −0.126693 | + | 0.149023i | ||||
\(531\) | −4.77872 | − | 17.8344i | −0.207379 | − | 0.773948i | ||||
\(532\) | 18.3416 | − | 14.6120i | 0.795211 | − | 0.633510i | ||||
\(533\) | 19.2524 | + | 30.5126i | 0.833916 | + | 1.32165i | ||||
\(534\) | 5.02241 | − | 1.75601i | 0.217341 | − | 0.0759899i | ||||
\(535\) | −2.81764 | + | 10.7853i | −0.121817 | + | 0.466290i | ||||
\(536\) | −12.9262 | − | 24.5020i | −0.558326 | − | 1.05832i | ||||
\(537\) | 15.2960 | + | 26.4935i | 0.660071 | + | 1.14328i | ||||
\(538\) | −0.324724 | + | 0.673866i | −0.0139998 | + | 0.0290524i | ||||
\(539\) | −4.09781 | + | 15.2932i | −0.176505 | + | 0.658726i | ||||
\(540\) | −2.65294 | + | 24.8309i | −0.114164 | + | 1.06855i | ||||
\(541\) | −26.4185 | − | 26.4185i | −1.13582 | − | 1.13582i | −0.989192 | − | 0.146628i | \(-0.953158\pi\) |
−0.146628 | − | 0.989192i | \(-0.546842\pi\) | |||||||
\(542\) | −4.23634 | + | 4.92023i | −0.181966 | + | 0.211342i | ||||
\(543\) | 17.5289 | + | 10.1203i | 0.752239 | + | 0.434306i | ||||
\(544\) | 28.0514 | − | 10.9689i | 1.20269 | − | 0.470290i | ||||
\(545\) | −8.08400 | + | 14.2066i | −0.346281 | + | 0.608546i | ||||
\(546\) | 2.34859 | + | 20.5432i | 0.100510 | + | 0.879169i | ||||
\(547\) | 5.03031 | 0.215081 | 0.107540 | − | 0.994201i | \(-0.465703\pi\) | ||||
0.107540 | + | 0.994201i | \(0.465703\pi\) | |||||||
\(548\) | 0.272620 | − | 0.369001i | 0.0116458 | − | 0.0157629i | ||||
\(549\) | −10.1354 | + | 17.5550i | −0.432567 | + | 0.749229i | ||||
\(550\) | −6.44356 | + | 36.5026i | −0.274754 | + | 1.55648i | ||||
\(551\) | −3.00386 | − | 3.00386i | −0.127969 | − | 0.127969i | ||||
\(552\) | 6.80047 | − | 6.30044i | 0.289447 | − | 0.268164i | ||||
\(553\) | −20.1423 | − | 5.39712i | −0.856538 | − | 0.229509i | ||||
\(554\) | −5.54451 | + | 11.5059i | −0.235564 | + | 0.488841i | ||||
\(555\) | 9.20219 | − | 0.0576344i | 0.390611 | − | 0.00244644i | ||||
\(556\) | −1.90799 | − | 12.7018i | −0.0809169 | − | 0.538675i | ||||
\(557\) | −5.09289 | − | 19.0069i | −0.215793 | − | 0.805350i | −0.985886 | − | 0.167418i | \(-0.946457\pi\) |
0.770093 | − | 0.637931i | \(-0.220210\pi\) | |||||||
\(558\) | 5.01451 | − | 1.75325i | 0.212281 | − | 0.0742208i | ||||
\(559\) | 4.97982 | − | 5.38725i | 0.210624 | − | 0.227857i | ||||
\(560\) | 19.1482 | − | 20.8560i | 0.809160 | − | 0.881326i | ||||
\(561\) | −9.25412 | − | 34.5368i | −0.390709 | − | 1.45815i | ||||
\(562\) | 1.58676 | − | 8.37480i | 0.0669336 | − | 0.353270i | ||||
\(563\) | −22.1022 | + | 12.7607i | −0.931497 | + | 0.537800i | −0.887285 | − | 0.461222i | \(-0.847411\pi\) |
−0.0442124 | + | 0.999022i | \(0.514078\pi\) | |||||||
\(564\) | 1.54912 | − | 13.6874i | 0.0652298 | − | 0.576342i | ||||
\(565\) | −14.1866 | + | 14.3654i | −0.596833 | + | 0.604356i | ||||
\(566\) | −2.49465 | − | 33.4008i | −0.104858 | − | 1.40394i | ||||
\(567\) | −6.88603 | − | 6.88603i | −0.289186 | − | 0.289186i | ||||
\(568\) | −0.512980 | + | 13.4401i | −0.0215242 | + | 0.563933i | ||||
\(569\) | −15.4291 | − | 8.90800i | −0.646822 | − | 0.373443i | 0.140416 | − | 0.990093i | \(-0.455156\pi\) |
−0.787238 | + | 0.616650i | \(0.788489\pi\) | |||||||
\(570\) | 1.21130 | + | 14.9562i | 0.0507356 | + | 0.626448i | ||||
\(571\) | 25.2470 | 1.05655 | 0.528277 | − | 0.849072i | \(-0.322838\pi\) | ||||
0.528277 | + | 0.849072i | \(0.322838\pi\) | |||||||
\(572\) | −37.1323 | + | 7.07892i | −1.55258 | + | 0.295985i | ||||
\(573\) | − | 1.65365i | − | 0.0690821i | ||||||
\(574\) | 25.2250 | + | 37.0181i | 1.05287 | + | 1.54511i | ||||
\(575\) | −12.7918 | + | 0.160240i | −0.533456 | + | 0.00668245i | ||||
\(576\) | 8.97335 | + | 6.13765i | 0.373890 | + | 0.255735i | ||||
\(577\) | −23.7085 | − | 23.7085i | −0.986997 | − | 0.986997i | 0.0129200 | − | 0.999917i | \(-0.495887\pi\) |
−0.999917 | + | 0.0129200i | \(0.995887\pi\) | |||||||
\(578\) | 16.0067 | − | 1.19551i | 0.665791 | − | 0.0497268i | ||||
\(579\) | 16.8309 | + | 4.50982i | 0.699468 | + | 0.187422i | ||||
\(580\) | −4.14422 | − | 3.02184i | −0.172080 | − | 0.125475i | ||||
\(581\) | 5.14631 | + | 8.91367i | 0.213505 | + | 0.369801i | ||||
\(582\) | −3.58312 | + | 18.9114i | −0.148525 | + | 0.783901i | ||||
\(583\) | 7.21025 | − | 1.93198i | 0.298618 | − | 0.0800144i | ||||
\(584\) | −1.08937 | + | 1.73084i | −0.0450783 | + | 0.0716225i | ||||
\(585\) | 9.72792 | + | 5.04044i | 0.402200 | + | 0.208397i | ||||
\(586\) | 7.55100 | + | 21.5968i | 0.311929 | + | 0.892156i | ||||
\(587\) | −2.36777 | − | 8.83664i | −0.0977284 | − | 0.364727i | 0.899691 | − | 0.436528i | \(-0.143792\pi\) |
−0.997419 | + | 0.0718009i | \(0.977125\pi\) | |||||||
\(588\) | 1.14951 | + | 7.65243i | 0.0474049 | + | 0.315581i | ||||
\(589\) | 8.86677 | − | 5.11923i | 0.365349 | − | 0.210934i | ||||
\(590\) | −24.4159 | − | 35.3529i | −1.00519 | − | 1.45546i | ||||
\(591\) | −6.86638 | + | 25.6257i | −0.282445 | + | 1.05410i | ||||
\(592\) | 6.01590 | − | 11.3552i | 0.247252 | − | 0.466694i | ||||
\(593\) | 9.56293 | − | 9.56293i | 0.392702 | − | 0.392702i | −0.482947 | − | 0.875650i | \(-0.660434\pi\) |
0.875650 | + | 0.482947i | \(0.160434\pi\) | |||||||
\(594\) | 27.0100 | − | 31.3703i | 1.10823 | − | 1.28714i | ||||
\(595\) | 32.5200 | − | 19.0480i | 1.33319 | − | 0.780892i | ||||
\(596\) | −14.2175 | + | 19.2439i | −0.582371 | + | 0.788260i | ||||
\(597\) | 17.5132 | 0.716769 | ||||||||
\(598\) | −4.78610 | − | 12.1366i | −0.195718 | − | 0.496301i | ||||
\(599\) | 18.3869i | 0.751267i | 0.926768 | + | 0.375634i | \(0.122575\pi\) | ||||
−0.926768 | + | 0.375634i | \(0.877425\pi\) | |||||||
\(600\) | 4.23903 | + | 17.6136i | 0.173058 | + | 0.719074i | ||||
\(601\) | −12.6772 | + | 21.9576i | −0.517116 | + | 0.895671i | 0.482687 | + | 0.875793i | \(0.339661\pi\) |
−0.999802 | + | 0.0198777i | \(0.993672\pi\) | |||||||
\(602\) | 5.94327 | − | 6.90272i | 0.242230 | − | 0.281334i | ||||
\(603\) | 9.41161 | − | 9.41161i | 0.383270 | − | 0.383270i | ||||
\(604\) | −8.17273 | − | 18.7577i | −0.332544 | − | 0.763238i | ||||
\(605\) | 25.8922 | − | 26.2185i | 1.05267 | − | 1.06593i | ||||
\(606\) | −26.0288 | − | 12.5428i | −1.05735 | − | 0.509518i | ||||
\(607\) | −14.7301 | − | 25.5133i | −0.597877 | − | 1.03555i | −0.993134 | − | 0.116983i | \(-0.962678\pi\) |
0.395257 | − | 0.918571i | \(-0.370655\pi\) | |||||||
\(608\) | 19.1947 | + | 8.40311i | 0.778447 | + | 0.340791i | ||||
\(609\) | 4.49220 | − | 1.20368i | 0.182033 | − | 0.0487756i | ||||
\(610\) | −8.49060 | + | 46.3996i | −0.343774 | + | 1.87866i | ||||
\(611\) | −17.1555 | − | 9.02574i | −0.694038 | − | 0.365142i | ||||
\(612\) | 9.01710 | + | 11.3187i | 0.364495 | + | 0.457531i | ||||
\(613\) | 35.3770 | − | 9.47923i | 1.42886 | − | 0.382862i | 0.540243 | − | 0.841509i | \(-0.318332\pi\) |
0.888619 | + | 0.458647i | \(0.151666\pi\) | |||||||
\(614\) | −2.28519 | + | 12.0610i | −0.0922227 | + | 0.486743i | ||||
\(615\) | −28.6627 | + | 0.179518i | −1.15579 | + | 0.00723885i | ||||
\(616\) | −45.7651 | + | 10.4095i | −1.84393 | + | 0.419411i | ||||
\(617\) | −7.80027 | + | 29.1110i | −0.314027 | + | 1.17197i | 0.610865 | + | 0.791735i | \(0.290822\pi\) |
−0.924892 | + | 0.380230i | \(0.875845\pi\) | |||||||
\(618\) | −0.742500 | − | 9.94130i | −0.0298677 | − | 0.399898i | ||||
\(619\) | 0.0903946 | − | 0.0903946i | 0.00363326 | − | 0.00363326i | −0.705288 | − | 0.708921i | \(-0.749182\pi\) |
0.708921 | + | 0.705288i | \(0.249182\pi\) | |||||||
\(620\) | 9.61997 | − | 7.76279i | 0.386347 | − | 0.311761i | ||||
\(621\) | 12.3729 | + | 7.14347i | 0.496506 | + | 0.286658i | ||||
\(622\) | 12.7816 | + | 18.7572i | 0.512495 | + | 0.752095i | ||||
\(623\) | − | 9.29653i | − | 0.372458i | ||||||
\(624\) | −15.2559 | + | 10.4210i | −0.610724 | + | 0.417173i | ||||
\(625\) | 11.9537 | − | 21.9570i | 0.478150 | − | 0.878278i | ||||
\(626\) | 4.44394 | − | 3.02820i | 0.177616 | − | 0.121031i | ||||
\(627\) | 12.4369 | − | 21.5414i | 0.496684 | − | 0.860282i | ||||
\(628\) | −0.549341 | − | 0.215917i | −0.0219211 | − | 0.00861604i | ||||
\(629\) | 12.0953 | − | 12.0953i | 0.482269 | − | 0.482269i | ||||
\(630\) | 12.2914 | + | 5.82845i | 0.489702 | + | 0.232211i | ||||
\(631\) | 1.53848 | + | 0.412235i | 0.0612460 | + | 0.0164108i | 0.289312 | − | 0.957235i | \(-0.406574\pi\) |
−0.228066 | + | 0.973646i | \(0.573240\pi\) | |||||||
\(632\) | −4.13249 | − | 18.1684i | −0.164382 | − | 0.722699i | ||||
\(633\) | −18.7014 | + | 10.7972i | −0.743313 | + | 0.429152i | ||||
\(634\) | −6.05837 | + | 31.9755i | −0.240609 | + | 1.26991i | ||||
\(635\) | 2.71432 | + | 0.709111i | 0.107715 | + | 0.0281402i | ||||
\(636\) | 2.85352 | − | 2.27328i | 0.113150 | − | 0.0901413i | ||||
\(637\) | 10.6214 | + | 2.40327i | 0.420837 | + | 0.0952211i | ||||
\(638\) | 2.80609 | + | 8.02576i | 0.111094 | + | 0.317743i | ||||
\(639\) | −6.24195 | + | 1.67253i | −0.246928 | + | 0.0661641i | ||||
\(640\) | 24.4655 | + | 6.43729i | 0.967084 | + | 0.254456i | ||||
\(641\) | 1.13746 | − | 0.656711i | 0.0449268 | − | 0.0259385i | −0.477368 | − | 0.878703i | \(-0.658409\pi\) |
0.522295 | + | 0.852765i | \(0.325076\pi\) | |||||||
\(642\) | 3.92065 | − | 8.13612i | 0.154736 | − | 0.321107i | ||||
\(643\) | 13.0865 | + | 3.50653i | 0.516083 | + | 0.138284i | 0.507454 | − | 0.861679i | \(-0.330587\pi\) |
0.00862865 | + | 0.999963i | \(0.497253\pi\) | |||||||
\(644\) | −6.47012 | − | 14.8499i | −0.254959 | − | 0.585169i | ||||
\(645\) | 1.54373 | + | 5.62026i | 0.0607845 | + | 0.221297i | ||||
\(646\) | 21.1365 | + | 18.1986i | 0.831603 | + | 0.716014i | ||||
\(647\) | −37.7825 | − | 21.8138i | −1.48538 | − | 0.857587i | −0.485523 | − | 0.874224i | \(-0.661371\pi\) |
−0.999862 | + | 0.0166367i | \(0.994704\pi\) | |||||||
\(648\) | 2.57101 | − | 8.31287i | 0.100999 | − | 0.326561i | ||||
\(649\) | 71.2219i | 2.79570i | ||||||||
\(650\) | 25.2616 | + | 3.44259i | 0.990842 | + | 0.135029i | ||||
\(651\) | 11.2087i | 0.439304i | ||||||||
\(652\) | 6.11593 | + | 4.51848i | 0.239518 | + | 0.176957i | ||||
\(653\) | 0.984294 | + | 0.568283i | 0.0385184 | + | 0.0222386i | 0.519136 | − | 0.854692i | \(-0.326254\pi\) |
−0.480617 | + | 0.876931i | \(0.659587\pi\) | |||||||
\(654\) | 8.64088 | − | 10.0358i | 0.337885 | − | 0.392431i | ||||
\(655\) | −6.96117 | − | 25.3435i | −0.271995 | − | 0.990251i | ||||
\(656\) | −18.7381 | + | 35.3687i | −0.731601 | + | 1.38091i | ||||
\(657\) | −0.949121 | − | 0.254316i | −0.0370287 | − | 0.00992181i | ||||
\(658\) | −21.6823 | − | 10.4483i | −0.845266 | − | 0.407319i | ||||
\(659\) | 39.4071 | − | 22.7517i | 1.53508 | − | 0.886280i | 0.535966 | − | 0.844240i | \(-0.319947\pi\) |
0.999116 | − | 0.0420405i | \(-0.0133859\pi\) | |||||||
\(660\) | 10.8105 | − | 28.0183i | 0.420796 | − | 1.09061i | ||||
\(661\) | 1.47406 | − | 0.394973i | 0.0573343 | − | 0.0153627i | −0.230038 | − | 0.973182i | \(-0.573885\pi\) |
0.287372 | + | 0.957819i | \(0.407218\pi\) | |||||||
\(662\) | −27.9859 | + | 9.78483i | −1.08770 | + | 0.380298i | ||||
\(663\) | −23.4866 | + | 7.29304i | −0.912143 | + | 0.283238i | ||||
\(664\) | −4.89875 | + | 7.78336i | −0.190108 | + | 0.302053i | ||||
\(665\) | 25.3671 | + | 6.62709i | 0.983693 | + | 0.256988i | ||||
\(666\) | 6.06616 | + | 1.14935i | 0.235059 | + | 0.0445364i | ||||
\(667\) | −2.54121 | + | 1.46717i | −0.0983960 | + | 0.0568090i | ||||
\(668\) | −2.52047 | + | 22.2697i | −0.0975198 | + | 0.861642i | ||||
\(669\) | 24.7864 | + | 6.64150i | 0.958298 | + | 0.256775i | ||||
\(670\) | 13.2704 | − | 27.9855i | 0.512680 | − | 1.08117i | ||||
\(671\) | 55.2908 | − | 55.2908i | 2.13448 | − | 2.13448i | ||||
\(672\) | −18.4738 | + | 13.5986i | −0.712641 | + | 0.524579i | ||||
\(673\) | 19.5297 | − | 33.8264i | 0.752813 | − | 1.30391i | −0.193641 | − | 0.981072i | \(-0.562030\pi\) |
0.946454 | − | 0.322838i | \(-0.104637\pi\) | |||||||
\(674\) | −11.8964 | − | 17.4581i | −0.458231 | − | 0.672462i | ||||
\(675\) | −24.0025 | + | 14.2617i | −0.923858 | + | 0.548932i | ||||
\(676\) | 5.86817 | + | 25.3291i | 0.225699 | + | 0.974197i | ||||
\(677\) | − | 38.8754i | − | 1.49410i | −0.664765 | − | 0.747052i | \(-0.731468\pi\) | ||
0.664765 | − | 0.747052i | \(-0.268532\pi\) | |||||||
\(678\) | 13.5176 | − | 9.21120i | 0.519140 | − | 0.353754i | ||||
\(679\) | 29.1257 | + | 16.8158i | 1.11774 | + | 0.645330i | ||||
\(680\) | 28.6117 | + | 17.7586i | 1.09721 | + | 0.681013i | ||||
\(681\) | −22.3013 | + | 22.3013i | −0.854588 | + | 0.854588i | ||||
\(682\) | −20.4344 | + | 1.52621i | −0.782474 | + | 0.0584418i | ||||
\(683\) | 2.14741 | − | 8.01425i | 0.0821684 | − | 0.306657i | −0.912595 | − | 0.408866i | \(-0.865924\pi\) |
0.994763 | + | 0.102209i | \(0.0325911\pi\) | |||||||
\(684\) | −1.13218 | + | 10.0035i | −0.0432901 | + | 0.382493i | ||||
\(685\) | 0.512927 | − | 0.00321252i | 0.0195979 | − | 0.000122744i | ||||
\(686\) | −17.5043 | − | 3.31652i | −0.668318 | − | 0.126625i | ||||
\(687\) | 10.9825 | − | 2.94275i | 0.419008 | − | 0.112273i | ||||
\(688\) | 7.93301 | + | 1.81900i | 0.302443 | + | 0.0693487i | ||||
\(689\) | −1.52257 | − | 4.90329i | −0.0580052 | − | 0.186800i | ||||
\(690\) | 10.1954 | + | 1.86565i | 0.388133 | + | 0.0710240i | ||||
\(691\) | −37.0478 | + | 9.92693i | −1.40937 | + | 0.377638i | −0.881699 | − | 0.471813i | \(-0.843600\pi\) |
−0.527667 | + | 0.849451i | \(0.676933\pi\) | |||||||
\(692\) | −35.2887 | + | 5.30089i | −1.34148 | + | 0.201509i | ||||
\(693\) | −11.2750 | − | 19.5289i | −0.428302 | − | 0.741840i | ||||
\(694\) | −4.55700 | + | 9.45667i | −0.172981 | + | 0.358970i | ||||
\(695\) | 10.0905 | − | 10.2177i | 0.382754 | − | 0.387579i | ||||
\(696\) | 2.82415 | + | 3.04829i | 0.107049 | + | 0.115545i | ||||
\(697\) | −37.6739 | + | 37.6739i | −1.42700 | + | 1.42700i | ||||
\(698\) | −10.8265 | − | 9.32166i | −0.409789 | − | 0.352830i | ||||
\(699\) | −10.6157 | + | 18.3869i | −0.401522 | + | 0.695456i | ||||
\(700\) | 31.4962 | + | 3.16568i | 1.19044 | + | 0.119651i | ||||
\(701\) | − | 16.2086i | − | 0.612192i | −0.952001 | − | 0.306096i | \(-0.900977\pi\) | ||
0.952001 | − | 0.306096i | \(-0.0990228\pi\) | |||||||
\(702\) | −22.2898 | − | 17.7162i | −0.841275 | − | 0.668653i | ||||
\(703\) | 11.8997 | 0.448805 | ||||||||
\(704\) | −27.3069 | − | 31.8276i | −1.02917 | − | 1.19955i | ||||
\(705\) | 13.2889 | − | 7.78370i | 0.500487 | − | 0.293151i | ||||
\(706\) | −16.4132 | − | 14.1319i | −0.617720 | − | 0.531860i | ||||
\(707\) | −35.6983 | + | 35.6983i | −1.34257 | + | 1.34257i | ||||
\(708\) | 13.9042 | + | 31.9124i | 0.522553 | + | 1.19934i | ||||
\(709\) | 10.3299 | − | 38.5519i | 0.387949 | − | 1.44785i | −0.445516 | − | 0.895274i | \(-0.646980\pi\) |
0.833465 | − | 0.552572i | \(-0.186354\pi\) | |||||||
\(710\) | −12.3733 | + | 8.54543i | −0.464363 | + | 0.320704i | ||||
\(711\) | 7.75281 | − | 4.47608i | 0.290753 | − | 0.167866i | ||||
\(712\) | 7.34693 | − | 3.87592i | 0.275338 | − | 0.145256i | ||||
\(713\) | −1.83040 | − | 6.83115i | −0.0685491 | − | 0.255829i | ||||
\(714\) | −28.8237 | + | 10.0778i | −1.07870 | + | 0.377151i | ||||
\(715\) | −31.2139 | − | 28.4928i | −1.16733 | − | 1.06557i | ||||
\(716\) | 29.7601 | + | 37.3562i | 1.11219 | + | 1.39607i | ||||
\(717\) | −9.01278 | + | 2.41497i | −0.336588 | + | 0.0901886i | ||||
\(718\) | 21.5794 | + | 4.08863i | 0.805337 | + | 0.152586i | ||||
\(719\) | 13.6289 | + | 23.6060i | 0.508273 | + | 0.880354i | 0.999954 | + | 0.00957904i | \(0.00304915\pi\) |
−0.491681 | + | 0.870775i | \(0.663618\pi\) | |||||||
\(720\) | 0.518411 | + | 12.1438i | 0.0193201 | + | 0.452571i | ||||
\(721\) | −16.8252 | − | 4.50830i | −0.626603 | − | 0.167898i | ||||
\(722\) | −0.556125 | − | 7.44594i | −0.0206968 | − | 0.277109i | ||||
\(723\) | 16.0971 | + | 16.0971i | 0.598657 | + | 0.598657i | ||||
\(724\) | 29.4103 | + | 11.5597i | 1.09303 | + | 0.429612i | ||||
\(725\) | −0.0718268 | − | 5.73389i | −0.00266758 | − | 0.212951i | ||||
\(726\) | −24.6712 | + | 16.8115i | −0.915635 | + | 0.623934i | ||||
\(727\) | 19.5213i | 0.724005i | 0.932177 | + | 0.362003i | \(0.117907\pi\) | ||||
−0.932177 | + | 0.362003i | \(0.882093\pi\) | |||||||
\(728\) | 8.39040 | + | 31.1723i | 0.310969 | + | 1.15532i | ||||
\(729\) | 25.6404 | 0.949646 | ||||||||
\(730\) | −2.27905 | + | 0.184579i | −0.0843515 | + | 0.00683158i | ||||
\(731\) | 9.38235 | + | 5.41690i | 0.347019 | + | 0.200351i | ||||
\(732\) | 13.9800 | − | 35.5683i | 0.516717 | − | 1.31464i | ||||
\(733\) | 23.2695 | + | 23.2695i | 0.859480 | + | 0.859480i | 0.991277 | − | 0.131797i | \(-0.0420748\pi\) |
−0.131797 | + | 0.991277i | \(0.542075\pi\) | |||||||
\(734\) | −5.74938 | + | 0.429412i | −0.212214 | + | 0.0158499i | ||||
\(735\) | −6.07921 | + | 6.15584i | −0.224235 | + | 0.227062i | ||||
\(736\) | 9.03817 | − | 11.3045i | 0.333151 | − | 0.416690i | ||||
\(737\) | −44.4639 | + | 25.6712i | −1.63785 | + | 0.945613i | ||||
\(738\) | −18.8947 | − | 3.57995i | −0.695522 | − | 0.131780i | ||||
\(739\) | −6.85801 | − | 25.5944i | −0.252276 | − | 0.941506i | −0.969586 | − | 0.244752i | \(-0.921293\pi\) |
0.717310 | − | 0.696754i | \(-0.245373\pi\) | |||||||
\(740\) | 14.1940 | − | 2.22315i | 0.521783 | − | 0.0817245i | ||||
\(741\) | −15.1410 | − | 7.96584i | −0.556217 | − | 0.292633i | ||||
\(742\) | −2.10393 | − | 6.01751i | −0.0772377 | − | 0.220910i | ||||
\(743\) | −13.0686 | − | 48.7726i | −0.479439 | − | 1.78929i | −0.603891 | − | 0.797067i | \(-0.706384\pi\) |
0.124452 | − | 0.992226i | \(-0.460283\pi\) | |||||||
\(744\) | −8.85809 | + | 4.67315i | −0.324753 | + | 0.171326i | ||||
\(745\) | −26.7498 | + | 0.167537i | −0.980037 | + | 0.00613809i | ||||
\(746\) | −21.8910 | − | 10.5489i | −0.801486 | − | 0.386222i | ||||
\(747\) | −4.26808 | − | 1.14363i | −0.156161 | − | 0.0418432i | ||||
\(748\) | −22.2973 | − | 51.1758i | −0.815272 | − | 1.87117i | ||||
\(749\) | −11.1586 | − | 11.1586i | −0.407727 | − | 0.407727i | ||||
\(750\) | −12.9252 | + | 15.5950i | −0.471960 | + | 0.569447i | ||||
\(751\) | −9.75454 | + | 16.8954i | −0.355948 | + | 0.616520i | −0.987280 | − | 0.158993i | \(-0.949175\pi\) |
0.631332 | + | 0.775513i | \(0.282509\pi\) | |||||||
\(752\) | −0.782646 | − | 21.4914i | −0.0285402 | − | 0.783711i | ||||
\(753\) | 17.6158 | 0.641955 | ||||||||
\(754\) | 5.44017 | − | 2.14535i | 0.198119 | − | 0.0781291i | ||||
\(755\) | 11.3136 | − | 19.8823i | 0.411745 | − | 0.723591i | ||||
\(756\) | −28.4336 | − | 21.0069i | −1.03412 | − | 0.764015i | ||||
\(757\) | −8.79561 | − | 5.07815i | −0.319682 | − | 0.184568i | 0.331569 | − | 0.943431i | \(-0.392422\pi\) |
−0.651251 | + | 0.758863i | \(0.725755\pi\) | |||||||
\(758\) | −3.28983 | − | 2.83256i | −0.119492 | − | 0.102883i | ||||
\(759\) | −12.1491 | − | 12.1491i | −0.440984 | − | 0.440984i | ||||
\(760\) | 5.33878 | + | 22.8103i | 0.193658 | + | 0.827415i | ||||
\(761\) | 0.231800 | − | 0.865091i | 0.00840275 | − | 0.0313595i | −0.961597 | − | 0.274465i | \(-0.911499\pi\) |
0.970000 | + | 0.243105i | \(0.0781660\pi\) | |||||||
\(762\) | −2.04761 | − | 0.986705i | −0.0741769 | − | 0.0357446i | ||||
\(763\) | −11.5699 | − | 20.0396i | −0.418857 | − | 0.725481i | ||||
\(764\) | −0.383512 | − | 2.55309i | −0.0138750 | − | 0.0923677i | ||||
\(765\) | −4.08960 | + | 15.6541i | −0.147860 | + | 0.565976i | ||||
\(766\) | 3.18785 | + | 9.11766i | 0.115182 | + | 0.329435i | ||||
\(767\) | 48.9495 | − | 1.92374i | 1.76746 | − | 0.0694621i | ||||
\(768\) | −18.4489 | − | 8.93001i | −0.665719 | − | 0.322234i | ||||
\(769\) | 2.88376 | + | 10.7623i | 0.103991 | + | 0.388099i | 0.998229 | − | 0.0594928i | \(-0.0189483\pi\) |
−0.894238 | + | 0.447592i | \(0.852282\pi\) | |||||||
\(770\) | −39.9788 | − | 33.9882i | −1.44073 | − | 1.22485i | ||||
\(771\) | −7.31131 | − | 12.6636i | −0.263310 | − | 0.456067i | ||||
\(772\) | 27.0314 | + | 3.05939i | 0.972882 | + | 0.110110i | ||||
\(773\) | 10.3210 | − | 38.5185i | 0.371221 | − | 1.38541i | −0.487568 | − | 0.873085i | \(-0.662116\pi\) |
0.858789 | − | 0.512330i | \(-0.171217\pi\) | |||||||
\(774\) | 0.291252 | + | 3.89956i | 0.0104688 | + | 0.140167i | ||||
\(775\) | 13.3933 | + | 3.40951i | 0.481103 | + | 0.122473i | ||||
\(776\) | −1.14613 | + | 30.0286i | −0.0411436 | + | 1.07796i | ||||
\(777\) | −6.51367 | + | 11.2820i | −0.233676 | + | 0.404740i | ||||
\(778\) | 21.6956 | − | 14.7838i | 0.777824 | − | 0.530027i | ||||
\(779\) | −37.0647 | −1.32798 | ||||||||
\(780\) | −19.5485 | − | 6.67304i | −0.699948 | − | 0.238933i | ||||
\(781\) | 24.9273 | 0.891968 | ||||||||
\(782\) | 15.9209 | − | 10.8489i | 0.569330 | − | 0.387954i | ||||
\(783\) | −3.20203 | + | 5.54609i | −0.114431 | + | 0.198201i | ||||
\(784\) | 3.54949 | + | 11.5481i | 0.126767 | + | 0.412433i | ||||
\(785\) | −0.174789 | − | 0.636352i | −0.00623848 | − | 0.0227124i | ||||
\(786\) | 1.58597 | + | 21.2345i | 0.0565698 | + | 0.757411i | ||||
\(787\) | 11.7433 | − | 43.8265i | 0.418603 | − | 1.56225i | −0.358905 | − | 0.933374i | \(-0.616850\pi\) |
0.777508 | − | 0.628873i | \(-0.216483\pi\) | |||||||
\(788\) | −4.65804 | + | 41.1564i | −0.165936 | + | 1.46614i | ||||
\(789\) | −14.4637 | − | 25.0519i | −0.514923 | − | 0.891872i | ||||
\(790\) | 13.4931 | − | 15.8713i | 0.480061 | − | 0.564674i | ||||
\(791\) | −7.39744 | − | 27.6076i | −0.263023 | − | 0.981614i | ||||
\(792\) | 10.7326 | − | 17.0525i | 0.381367 | − | 0.605934i | ||||
\(793\) | −39.4938 | − | 36.5069i | −1.40247 | − | 1.29640i | ||||
\(794\) | −4.09735 | − | 11.7189i | −0.145409 | − | 0.415889i | ||||
\(795\) | 3.94652 | + | 1.03102i | 0.139969 | + | 0.0365664i | ||||
\(796\) | 27.0390 | − | 4.06165i | 0.958371 | − | 0.143961i | ||||
\(797\) | 1.46967 | + | 2.54554i | 0.0520584 | + | 0.0901678i | 0.890880 | − | 0.454238i | \(-0.150088\pi\) |
−0.838822 | + | 0.544406i | \(0.816755\pi\) | |||||||
\(798\) | −19.1362 | − | 9.22139i | −0.677414 | − | 0.326434i | ||||
\(799\) | 7.40910 | − | 27.6511i | 0.262115 | − | 0.978227i | ||||
\(800\) | 10.6297 | + | 26.2109i | 0.375815 | + | 0.926695i | ||||
\(801\) | 2.82207 | + | 2.82207i | 0.0997131 | + | 0.0997131i | ||||
\(802\) | 15.0068 | + | 12.9209i | 0.529908 | + | 0.456253i | ||||
\(803\) | 3.28251 | + | 1.89516i | 0.115837 | + | 0.0668787i | ||||
\(804\) | −14.9113 | + | 20.1829i | −0.525880 | + | 0.711798i | ||||
\(805\) | 8.95668 | − | 15.7403i | 0.315681 | − | 0.554772i | ||||
\(806\) | 1.60088 | + | 14.0030i | 0.0563887 | + | 0.493234i | ||||
\(807\) | 0.677582 | 0.0238520 | ||||||||
\(808\) | −43.0953 | − | 13.3285i | −1.51609 | − | 0.468896i | ||||
\(809\) | −14.0915 | + | 24.4072i | −0.495431 | + | 0.858111i | −0.999986 | − | 0.00526812i | \(-0.998323\pi\) |
0.504555 | + | 0.863379i | \(0.331656\pi\) | |||||||
\(810\) | 9.16302 | − | 3.26826i | 0.321956 | − | 0.114835i | ||||
\(811\) | −36.1942 | − | 36.1942i | −1.27095 | − | 1.27095i | −0.945591 | − | 0.325359i | \(-0.894515\pi\) |
−0.325359 | − | 0.945591i | \(-0.605485\pi\) | |||||||
\(812\) | 6.65642 | − | 2.90021i | 0.233595 | − | 0.101777i | ||||
\(813\) | 5.68088 | + | 1.52219i | 0.199237 | + | 0.0533854i | ||||
\(814\) | −21.4550 | − | 10.3388i | −0.751997 | − | 0.362374i | ||||
\(815\) | 0.0532452 | + | 8.50140i | 0.00186510 | + | 0.297791i | ||||
\(816\) | −19.9815 | − | 18.5773i | −0.699493 | − | 0.650337i | ||||
\(817\) | 1.95066 | + | 7.27997i | 0.0682450 | + | 0.254694i | ||||
\(818\) | 4.85215 | + | 13.8778i | 0.169651 | + | 0.485225i | ||||
\(819\) | −13.1173 | + | 8.27658i | −0.458355 | + | 0.289207i | ||||
\(820\) | −44.2111 | + | 6.92458i | −1.54392 | + | 0.241817i | ||||
\(821\) | 4.81214 | + | 17.9592i | 0.167945 | + | 0.626779i | 0.997646 | + | 0.0685714i | \(0.0218441\pi\) |
−0.829701 | + | 0.558208i | \(0.811489\pi\) | |||||||
\(822\) | −0.408316 | − | 0.0773632i | −0.0142417 | − | 0.00269835i | ||||
\(823\) | 13.1107 | − | 7.56947i | 0.457011 | − | 0.263855i | −0.253776 | − | 0.967263i | \(-0.581673\pi\) |
0.710786 | + | 0.703408i | \(0.248339\pi\) | |||||||
\(824\) | −3.45193 | − | 15.1763i | −0.120254 | − | 0.528693i | ||||
\(825\) | 32.3208 | − | 9.09574i | 1.12527 | − | 0.316673i | ||||
\(826\) | 60.6540 | − | 4.53015i | 2.11042 | − | 0.157624i | ||||
\(827\) | −34.7410 | − | 34.7410i | −1.20806 | − | 1.20806i | −0.971654 | − | 0.236407i | \(-0.924030\pi\) |
−0.236407 | − | 0.971654i | \(-0.575970\pi\) | |||||||
\(828\) | 6.47196 | + | 2.54379i | 0.224916 | + | 0.0884028i | ||||
\(829\) | 5.51285 | + | 3.18285i | 0.191469 | + | 0.110545i | 0.592670 | − | 0.805445i | \(-0.298074\pi\) |
−0.401201 | + | 0.915990i | \(0.631407\pi\) | |||||||
\(830\) | −10.2486 | + | 0.830030i | −0.355735 | + | 0.0288108i | ||||
\(831\) | 11.5694 | 0.401338 | ||||||||
\(832\) | −21.1370 | + | 19.6272i | −0.732792 | + | 0.680452i | ||||
\(833\) | 16.0816i | 0.557195i | ||||||||
\(834\) | −9.61468 | + | 6.55166i | −0.332929 | + | 0.226865i | ||||
\(835\) | −21.6214 | + | 12.6643i | −0.748238 | + | 0.438267i | ||||
\(836\) | 14.2057 | − | 36.1425i | 0.491316 | − | 1.25002i | ||||
\(837\) | −10.9139 | − | 10.9139i | −0.377241 | − | 0.377241i | ||||
\(838\) | 0.946958 | + | 12.6788i | 0.0327121 | + | 0.437981i | ||||
\(839\) | 41.3512 | + | 11.0800i | 1.42760 | + | 0.382525i | 0.888174 | − | 0.459507i | \(-0.151974\pi\) |
0.539428 | + | 0.842032i | \(0.318641\pi\) | |||||||
\(840\) | −24.5486 | − | 7.42427i | −0.847007 | − | 0.256161i | ||||
\(841\) | 13.8423 | + | 23.9756i | 0.477322 | + | 0.826747i | ||||
\(842\) | 17.4621 | + | 3.30852i | 0.601782 | + | 0.114019i | ||||
\(843\) | −7.45800 | + | 1.99837i | −0.256867 | + | 0.0688274i | ||||
\(844\) | −26.3693 | + | 21.0072i | −0.907668 | + | 0.723099i | ||||
\(845\) | −18.7395 | + | 22.2223i | −0.644657 | + | 0.764472i | ||||
\(846\) | 9.75367 | − | 3.41022i | 0.335338 | − | 0.117246i | ||||
\(847\) | 13.5012 | + | 50.3872i | 0.463907 | + | 1.73132i | ||||
\(848\) | 3.87839 | − | 4.17154i | 0.133184 | − | 0.143251i | ||||
\(849\) | −26.2749 | + | 15.1698i | −0.901753 | + | 0.520627i | ||||
\(850\) | 3.27424 | + | 37.5070i | 0.112306 | + | 1.28648i | ||||
\(851\) | 2.12739 | − | 7.93952i | 0.0729259 | − | 0.272163i | ||||
\(852\) | 11.1692 | − | 4.86641i | 0.382649 | − | 0.166721i | ||||
\(853\) | −5.98390 | + | 5.98390i | −0.204885 | + | 0.204885i | −0.802089 | − | 0.597204i | \(-0.796278\pi\) |
0.597204 | + | 0.802089i | \(0.296278\pi\) | |||||||
\(854\) | −50.6036 | − | 43.5700i | −1.73162 | − | 1.49093i | ||||
\(855\) | −9.71223 | + | 5.68876i | −0.332151 | + | 0.194551i | ||||
\(856\) | 4.16624 | − | 13.4708i | 0.142399 | − | 0.460421i | ||||
\(857\) | −23.7437 | −0.811071 | −0.405535 | − | 0.914079i | \(-0.632915\pi\) | ||||
−0.405535 | + | 0.914079i | \(0.632915\pi\) | |||||||
\(858\) | 20.3780 | + | 27.5172i | 0.695694 | + | 0.939423i | ||||
\(859\) | − | 39.1118i | − | 1.33448i | −0.744844 | − | 0.667238i | \(-0.767476\pi\) | ||
0.744844 | − | 0.667238i | \(-0.232524\pi\) | |||||||
\(860\) | 3.68684 | + | 8.31919i | 0.125720 | + | 0.283682i | ||||
\(861\) | 20.2885 | − | 35.1408i | 0.691432 | − | 1.19760i | ||||
\(862\) | −4.94497 | − | 4.25764i | −0.168426 | − | 0.145016i | ||||
\(863\) | −6.37009 | + | 6.37009i | −0.216840 | + | 0.216840i | −0.807166 | − | 0.590325i | \(-0.799000\pi\) |
0.590325 | + | 0.807166i | \(0.299000\pi\) | |||||||
\(864\) | 4.74691 | − | 31.2290i | 0.161493 | − | 1.06243i | ||||
\(865\) | −28.3873 | − | 28.0339i | −0.965197 | − | 0.953182i | ||||
\(866\) | 0.205985 | − | 0.427458i | 0.00699964 | − | 0.0145256i | ||||
\(867\) | −7.26985 | − | 12.5917i | −0.246897 | − | 0.427638i | ||||
\(868\) | 2.59951 | + | 17.3053i | 0.0882332 | + | 0.587380i | ||||
\(869\) | −33.3557 | + | 8.93763i | −1.13151 | + | 0.303188i | ||||
\(870\) | −0.836270 | + | 4.57006i | −0.0283522 | + | 0.154940i | ||||
\(871\) | 18.8444 | + | 29.8658i | 0.638517 | + | 1.01197i | ||||
\(872\) | 11.0133 | − | 17.4984i | 0.372957 | − | 0.592572i | ||||
\(873\) | −13.9461 | + | 3.73685i | −0.472004 | + | 0.126473i | ||||
\(874\) | 13.1684 | + | 2.49501i | 0.445429 | + | 0.0843950i | ||||
\(875\) | 18.2683 | + | 30.3118i | 0.617583 | + | 1.02473i | ||||
\(876\) | 1.84078 | + | 0.208337i | 0.0621940 | + | 0.00703906i | ||||
\(877\) | 4.60101 | − | 17.1712i | 0.155365 | − | 0.579830i | −0.843709 | − | 0.536801i | \(-0.819633\pi\) |
0.999074 | − | 0.0430291i | \(-0.0137008\pi\) | |||||||
\(878\) | 23.5757 | − | 1.76083i | 0.795640 | − | 0.0594251i | ||||
\(879\) | 14.6543 | − | 14.6543i | 0.494276 | − | 0.494276i | ||||
\(880\) | 10.1925 | − | 45.7651i | 0.343587 | − | 1.54274i | ||||
\(881\) | 25.4582 | + | 14.6983i | 0.857708 | + | 0.495198i | 0.863244 | − | 0.504787i | \(-0.168429\pi\) |
−0.00553628 | + | 0.999985i | \(0.501762\pi\) | |||||||
\(882\) | −4.79680 | + | 3.26865i | −0.161517 | + | 0.110061i | ||||
\(883\) | 33.2676i | 1.11954i | 0.828647 | + | 0.559771i | \(0.189111\pi\) | ||||
−0.828647 | + | 0.559771i | \(0.810889\pi\) | |||||||
\(884\) | −34.5699 | + | 16.7068i | −1.16271 | + | 0.561912i | ||||
\(885\) | −19.2478 | + | 33.8257i | −0.647009 | + | 1.13704i | ||||
\(886\) | −7.31324 | − | 10.7323i | −0.245693 | − | 0.360559i | ||||
\(887\) | 12.8532 | − | 22.2624i | 0.431569 | − | 0.747499i | −0.565440 | − | 0.824790i | \(-0.691293\pi\) |
0.997009 | + | 0.0772903i | \(0.0246268\pi\) | |||||||
\(888\) | −11.6317 | − | 0.443958i | −0.390335 | − | 0.0148983i | ||||
\(889\) | −2.80827 | + | 2.80827i | −0.0941864 | + | 0.0941864i | ||||
\(890\) | 8.39146 | + | 3.97913i | 0.281282 | + | 0.133381i | ||||
\(891\) | −15.5772 | − | 4.17389i | −0.521855 | − | 0.139831i | ||||
\(892\) | 39.8084 | + | 4.50548i | 1.33289 | + | 0.150855i | ||||
\(893\) | 17.2467 | − | 9.95736i | 0.577137 | − | 0.333210i | ||||
\(894\) | 21.2942 | + | 4.03459i | 0.712185 | + | 0.134937i | ||||
\(895\) | −13.4973 | + | 51.6649i | −0.451166 | + | 1.72697i | ||||
\(896\) | −25.3682 | + | 25.2796i | −0.847491 | + | 0.844532i | ||||
\(897\) | −8.02170 | + | 8.67801i | −0.267837 | + | 0.289750i | ||||
\(898\) | −0.437805 | + | 0.153072i | −0.0146098 | + | 0.00510808i | ||||
\(899\) | 3.06204 | − | 0.820471i | 0.102125 | − | 0.0273642i | ||||
\(900\) | −10.5220 | + | 8.60008i | −0.350735 | + | 0.286669i | ||||
\(901\) | 6.56616 | − | 3.79097i | 0.218751 | − | 0.126296i | ||||
\(902\) | 66.8272 | + | 32.2029i | 2.22510 | + | 1.07224i | ||||
\(903\) | −7.96985 | − | 2.13552i | −0.265220 | − | 0.0710655i | ||||
\(904\) | 18.7338 | − | 17.3563i | 0.623077 | − | 0.577262i | ||||
\(905\) | 9.35775 | + | 34.0687i | 0.311062 | + | 1.13248i | ||||
\(906\) | −12.0930 | + | 14.0452i | −0.401762 | + | 0.466620i | ||||
\(907\) | −38.5572 | − | 22.2610i | −1.28027 | − | 0.739165i | −0.303373 | − | 0.952872i | \(-0.598113\pi\) |
−0.976898 | + | 0.213707i | \(0.931446\pi\) | |||||||
\(908\) | −29.2593 | + | 39.6035i | −0.971003 | + | 1.31429i | ||||
\(909\) | − | 21.6733i | − | 0.718858i | ||||||
\(910\) | −22.2796 | + | 28.3947i | −0.738563 | + | 0.941276i | ||||
\(911\) | 2.01663i | 0.0668140i | 0.999442 | + | 0.0334070i | \(0.0106358\pi\) | ||||
−0.999442 | + | 0.0334070i | \(0.989364\pi\) | |||||||
\(912\) | −0.690740 | − | 18.9677i | −0.0228727 | − | 0.628083i | ||||
\(913\) | 14.7611 | + | 8.52230i | 0.488520 | + | 0.282047i | ||||
\(914\) | 38.8791 | + | 33.4751i | 1.28601 | + | 1.10726i | ||||
\(915\) | 41.2020 | − | 11.3171i | 1.36209 | − | 0.374131i | ||||
\(916\) | 16.2736 | − | 7.09040i | 0.537693 | − | 0.234274i | ||||
\(917\) | 35.9385 | + | 9.62969i | 1.18679 | + | 0.318000i | ||||
\(918\) | 18.2529 | − | 37.8784i | 0.602437 | − | 1.25017i | ||||
\(919\) | −42.4926 | + | 24.5331i | −1.40170 | + | 0.809272i | −0.994567 | − | 0.104097i | \(-0.966805\pi\) |
−0.407133 | + | 0.913369i | \(0.633472\pi\) | |||||||
\(920\) | 16.1736 | + | 0.515891i | 0.533227 | + | 0.0170084i | ||||
\(921\) | 10.7407 | − | 2.87796i | 0.353918 | − | 0.0948320i | ||||
\(922\) | −3.91731 | − | 11.2040i | −0.129010 | − | 0.368985i | ||||
\(923\) | −0.673298 | − | 17.1321i | −0.0221619 | − | 0.563909i | ||||
\(924\) | 26.4905 | + | 33.2521i | 0.871474 | + | 1.09392i | ||||
\(925\) | 11.4996 | + | 11.2150i | 0.378103 | + | 0.368748i | ||||
\(926\) | −0.453246 | + | 2.39219i | −0.0148946 | + | 0.0786122i | ||||
\(927\) | 6.47604 | − | 3.73894i | 0.212701 | − | 0.122803i | ||||
\(928\) | 5.06720 | + | 4.05132i | 0.166339 | + | 0.132991i | ||||
\(929\) | 17.4706 | + | 4.68125i | 0.573193 | + | 0.153587i | 0.533761 | − | 0.845636i | \(-0.320778\pi\) |
0.0394326 | + | 0.999222i | \(0.487445\pi\) | |||||||
\(930\) | −10.1175 | − | 4.79759i | −0.331765 | − | 0.157319i | ||||
\(931\) | −7.91079 | + | 7.91079i | −0.259266 | + | 0.259266i | ||||
\(932\) | −12.1254 | + | 30.8498i | −0.397182 | + | 1.01052i | ||||
\(933\) | 10.2803 | − | 17.8059i | 0.336561 | − | 0.582940i | ||||
\(934\) | 31.6618 | − | 21.5751i | 1.03601 | − | 0.705957i | ||||
\(935\) | 30.8665 | − | 54.2441i | 1.00944 | − | 1.77397i | ||||
\(936\) | −12.0098 | − | 6.91574i | −0.392551 | − | 0.226048i | ||||
\(937\) | 28.2050i | 0.921418i | 0.887551 | + | 0.460709i | \(0.152405\pi\) | ||||
−0.887551 | + | 0.460709i | \(0.847595\pi\) | |||||||
\(938\) | 24.6903 | + | 36.2335i | 0.806168 | + | 1.18307i | ||||
\(939\) | −4.21857 | − | 2.43559i | −0.137668 | − | 0.0794825i | ||||
\(940\) | 18.7117 | − | 15.0993i | 0.610308 | − | 0.492486i | ||||
\(941\) | −32.5609 | + | 32.5609i | −1.06145 | + | 1.06145i | −0.0634696 | + | 0.997984i | \(0.520217\pi\) |
−0.997984 | + | 0.0634696i | \(0.979783\pi\) | |||||||
\(942\) | 0.0398224 | + | 0.533180i | 0.00129748 | + | 0.0173720i | ||||
\(943\) | −6.62631 | + | 24.7297i | −0.215783 | + | 0.805311i | ||||
\(944\) | 28.8681 | + | 46.0454i | 0.939576 | + | 1.49865i | ||||
\(945\) | −0.247543 | − | 39.5239i | −0.00805257 | − | 1.28571i | ||||
\(946\) | 2.80803 | − | 14.8205i | 0.0912968 | − | 0.481856i | ||||
\(947\) | −38.3792 | + | 10.2837i | −1.24716 | + | 0.334175i | −0.821238 | − | 0.570586i | \(-0.806716\pi\) |
−0.425919 | + | 0.904761i | \(0.640049\pi\) | |||||||
\(948\) | −13.2008 | + | 10.5165i | −0.428743 | + | 0.341561i | ||||
\(949\) | 1.21385 | − | 2.30720i | 0.0394031 | − | 0.0748949i | ||||
\(950\) | −16.8396 | + | 20.0609i | −0.546349 | + | 0.650862i | ||||
\(951\) | 28.4751 | − | 7.62989i | 0.923369 | − | 0.247416i | ||||
\(952\) | −42.1641 | + | 22.2440i | −1.36655 | + | 0.720931i | ||||
\(953\) | −10.1819 | − | 17.6356i | −0.329825 | − | 0.571273i | 0.652652 | − | 0.757658i | \(-0.273656\pi\) |
−0.982477 | + | 0.186385i | \(0.940323\pi\) | |||||||
\(954\) | 2.46536 | + | 1.18801i | 0.0798191 | + | 0.0384634i | ||||
\(955\) | 2.02822 | − | 2.05379i | 0.0656316 | − | 0.0664589i | ||||
\(956\) | −13.3549 | + | 5.81874i | −0.431928 | + | 0.188192i | ||||
\(957\) | 5.44579 | − | 5.44579i | 0.176037 | − | 0.176037i | ||||
\(958\) | 20.7046 | − | 24.0470i | 0.668936 | − | 0.776925i | ||||
\(959\) | −0.363070 | + | 0.628855i | −0.0117241 | + | 0.0203068i | ||||
\(960\) | −4.36754 | − | 22.4958i | −0.140962 | − | 0.726048i | ||||
\(961\) | − | 23.3598i | − | 0.753541i | ||||||
\(962\) | −6.52614 | + | 15.0249i | −0.210411 | + | 0.484421i | ||||
\(963\) | 6.77467 | 0.218311 | ||||||||
\(964\) | 28.5858 | + | 21.1193i | 0.920685 | + | 0.680208i | ||||
\(965\) | 15.3722 | + | 26.2444i | 0.494847 | + | 0.844837i | ||||
\(966\) | −9.57367 | + | 11.1192i | −0.308028 | + | 0.357754i | ||||
\(967\) | −0.868293 | + | 0.868293i | −0.0279224 | + | 0.0279224i | −0.720930 | − | 0.693008i | \(-0.756285\pi\) |
0.693008 | + | 0.720930i | \(0.256285\pi\) | |||||||
\(968\) | −34.1914 | + | 31.6773i | −1.09895 | + | 1.01815i | ||||
\(969\) | 6.53905 | − | 24.4041i | 0.210065 | − | 0.783971i | ||||
\(970\) | −27.6452 | + | 19.0927i | −0.887632 | + | 0.613028i | ||||
\(971\) | 46.4532 | − | 26.8197i | 1.49075 | − | 0.860686i | 0.490809 | − | 0.871267i | \(-0.336701\pi\) |
0.999944 | + | 0.0105811i | \(0.00336812\pi\) | |||||||
\(972\) | 25.3376 | − | 3.80608i | 0.812703 | − | 0.122080i | ||||
\(973\) | 5.26159 | + | 19.6365i | 0.168679 | + | 0.629518i | ||||
\(974\) | 1.40174 | + | 4.00915i | 0.0449146 | + | 0.128461i | ||||
\(975\) | −7.12433 | − | 21.9678i | −0.228161 | − | 0.703533i | ||||
\(976\) | 13.3350 | − | 58.1567i | 0.426844 | − | 1.86155i | ||||
\(977\) | −11.6644 | + | 3.12546i | −0.373177 | + | 0.0999924i | −0.440533 | − | 0.897737i | \(-0.645210\pi\) |
0.0673559 | + | 0.997729i | \(0.478544\pi\) | |||||||
\(978\) | 1.28224 | − | 6.76754i | 0.0410015 | − | 0.216402i | ||||
\(979\) | −7.69753 | − | 13.3325i | −0.246014 | − | 0.426109i | ||||
\(980\) | −7.95814 | + | 10.9140i | −0.254213 | + | 0.348635i | ||||
\(981\) | 9.59543 | + | 2.57109i | 0.306358 | + | 0.0820885i | ||||
\(982\) | 10.1652 | − | 0.759225i | 0.324386 | − | 0.0242278i | ||||
\(983\) | 12.7293 | + | 12.7293i | 0.406000 | + | 0.406000i | 0.880341 | − | 0.474341i | \(-0.157314\pi\) |
−0.474341 | + | 0.880341i | \(0.657314\pi\) | |||||||
\(984\) | 36.2301 | + | 1.38283i | 1.15497 | + | 0.0440829i | ||||
\(985\) | −39.9581 | + | 23.4047i | −1.27317 | + | 0.745736i | ||||
\(986\) | 4.86296 | + | 7.13648i | 0.154868 | + | 0.227272i | ||||
\(987\) | 21.8019i | 0.693963i | ||||||||
\(988\) | −25.2238 | − | 8.78712i | −0.802476 | − | 0.279556i | ||||
\(989\) | 5.20597 | 0.165540 | ||||||||
\(990\) | 22.4536 | − | 1.81850i | 0.713622 | − | 0.0577958i | ||||
\(991\) | −32.9604 | − | 19.0297i | −1.04702 | − | 0.604498i | −0.125207 | − | 0.992131i | \(-0.539959\pi\) |
−0.921814 | + | 0.387633i | \(0.873293\pi\) | |||||||
\(992\) | −12.5924 | + | 9.26931i | −0.399808 | + | 0.294301i | ||||
\(993\) | 18.9895 | + | 18.9895i | 0.602613 | + | 0.602613i | ||||
\(994\) | −1.58553 | − | 21.2286i | −0.0502899 | − | 0.673330i | ||||
\(995\) | 21.7510 | + | 21.4802i | 0.689552 | + | 0.680968i | ||||
\(996\) | 8.27774 | + | 0.936867i | 0.262290 | + | 0.0296858i | ||||
\(997\) | 48.4498 | − | 27.9725i | 1.53442 | − | 0.885898i | 0.535271 | − | 0.844681i | \(-0.320210\pi\) |
0.999150 | − | 0.0412176i | \(-0.0131237\pi\) | |||||||
\(998\) | 11.2524 | − | 59.3891i | 0.356188 | − | 1.87993i | ||||
\(999\) | −4.64294 | − | 17.3277i | −0.146896 | − | 0.548223i |
(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 | 260.2.bc.c.19.11 | ✓ | 144 | |
4.3 | odd | 2 | inner | 260.2.bc.c.19.17 | yes | 144 | |
5.4 | even | 2 | inner | 260.2.bc.c.19.26 | yes | 144 | |
13.11 | odd | 12 | inner | 260.2.bc.c.219.20 | yes | 144 | |
20.19 | odd | 2 | inner | 260.2.bc.c.19.20 | yes | 144 | |
52.11 | even | 12 | inner | 260.2.bc.c.219.26 | yes | 144 | |
65.24 | odd | 12 | inner | 260.2.bc.c.219.17 | yes | 144 | |
260.219 | even | 12 | inner | 260.2.bc.c.219.11 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
260.2.bc.c.19.11 | ✓ | 144 | 1.1 | even | 1 | trivial | |
260.2.bc.c.19.17 | yes | 144 | 4.3 | odd | 2 | inner | |
260.2.bc.c.19.20 | yes | 144 | 20.19 | odd | 2 | inner | |
260.2.bc.c.19.26 | yes | 144 | 5.4 | even | 2 | inner | |
260.2.bc.c.219.11 | yes | 144 | 260.219 | even | 12 | inner | |
260.2.bc.c.219.17 | yes | 144 | 65.24 | odd | 12 | inner | |
260.2.bc.c.219.20 | yes | 144 | 13.11 | odd | 12 | inner | |
260.2.bc.c.219.26 | yes | 144 | 52.11 | even | 12 | inner |