Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(235,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.235");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.j (of order \(3\), degree \(2\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + 8x^{8} + 7x^{7} + 41x^{6} + 18x^{5} + 58x^{4} + 28x^{3} + 64x^{2} + 16x + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 91) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 352.5 | ||
Root | \(-0.862625 + 1.49411i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.352 |
Dual form | 819.2.j.h.235.5 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.36263 | − | 2.36014i | 0.963521 | − | 1.66887i | 0.249986 | − | 0.968250i | \(-0.419574\pi\) |
0.713536 | − | 0.700619i | \(-0.247093\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −2.71349 | − | 4.69991i | −1.35675 | − | 2.34996i | ||||
\(5\) | 1.09358 | − | 1.89414i | 0.489065 | − | 0.847085i | −0.510856 | − | 0.859666i | \(-0.670672\pi\) |
0.999921 | + | 0.0125813i | \(0.00400485\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.19729 | + | 1.47375i | −0.830496 | + | 0.557025i | ||||
\(8\) | −9.33940 | −3.30198 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.98028 | − | 5.16200i | −0.942449 | − | 1.63237i | ||||
\(11\) | −0.524077 | − | 0.907729i | −0.158015 | − | 0.273691i | 0.776138 | − | 0.630564i | \(-0.217176\pi\) |
−0.934153 | + | 0.356873i | \(0.883843\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.00000 | 0.277350 | ||||||||
\(14\) | 0.484172 | + | 7.19406i | 0.129400 | + | 1.92269i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −7.29912 | + | 12.6424i | −1.82478 | + | 3.16061i | ||||
\(17\) | −2.64562 | − | 4.58236i | −0.641658 | − | 1.11138i | −0.985063 | − | 0.172197i | \(-0.944913\pi\) |
0.343404 | − | 0.939188i | \(-0.388420\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.378453 | + | 0.655500i | −0.0868231 | + | 0.150382i | −0.906167 | − | 0.422921i | \(-0.861005\pi\) |
0.819344 | + | 0.573303i | \(0.194338\pi\) | |||||||
\(20\) | −11.8697 | −2.65415 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.85648 | −0.609005 | ||||||||
\(23\) | 0.326792 | − | 0.566020i | 0.0681408 | − | 0.118023i | −0.829942 | − | 0.557850i | \(-0.811627\pi\) |
0.898083 | + | 0.439826i | \(0.144960\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.108157 | + | 0.187333i | 0.0216314 | + | 0.0374667i | ||||
\(26\) | 1.36263 | − | 2.36014i | 0.267233 | − | 0.462861i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 12.8888 | + | 6.32803i | 2.43576 | + | 1.19589i | ||||
\(29\) | 3.10408 | 0.576414 | 0.288207 | − | 0.957568i | \(-0.406941\pi\) | ||||
0.288207 | + | 0.957568i | \(0.406941\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.513956 | − | 0.890198i | −0.0923092 | − | 0.159884i | 0.816173 | − | 0.577807i | \(-0.196091\pi\) |
−0.908482 | + | 0.417923i | \(0.862758\pi\) | |||||||
\(32\) | 10.5525 | + | 18.2775i | 1.86544 | + | 3.23104i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −14.4200 | −2.47301 | ||||||||
\(35\) | 0.388575 | + | 5.77363i | 0.0656811 | + | 0.975922i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.44661 | − | 9.43381i | 0.895418 | − | 1.55091i | 0.0621309 | − | 0.998068i | \(-0.480210\pi\) |
0.833287 | − | 0.552841i | \(-0.186456\pi\) | |||||||
\(38\) | 1.03138 | + | 1.78640i | 0.167312 | + | 0.289793i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −10.2134 | + | 17.6901i | −1.61488 | + | 2.79706i | ||||
\(41\) | −7.32040 | −1.14325 | −0.571627 | − | 0.820514i | \(-0.693688\pi\) | ||||
−0.571627 | + | 0.820514i | \(0.693688\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.887771 | 0.135384 | 0.0676919 | − | 0.997706i | \(-0.478437\pi\) | ||||
0.0676919 | + | 0.997706i | \(0.478437\pi\) | |||||||
\(44\) | −2.84416 | + | 4.92623i | −0.428774 | + | 0.742658i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.890590 | − | 1.54255i | −0.131310 | − | 0.227436i | ||||
\(47\) | 1.16875 | − | 2.02434i | 0.170480 | − | 0.295281i | −0.768108 | − | 0.640321i | \(-0.778801\pi\) |
0.938588 | + | 0.345040i | \(0.112135\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.65613 | − | 6.47650i | 0.379447 | − | 0.925214i | ||||
\(50\) | 0.589510 | 0.0833692 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2.71349 | − | 4.69991i | −0.376294 | − | 0.651760i | ||||
\(53\) | 2.44407 | + | 4.23325i | 0.335719 | + | 0.581482i | 0.983623 | − | 0.180240i | \(-0.0576875\pi\) |
−0.647904 | + | 0.761722i | \(0.724354\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.29249 | −0.309119 | ||||||||
\(56\) | 20.5213 | − | 13.7639i | 2.74228 | − | 1.83928i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 4.22970 | − | 7.32606i | 0.555387 | − | 0.961959i | ||||
\(59\) | −0.524077 | − | 0.907729i | −0.0682291 | − | 0.118176i | 0.829893 | − | 0.557923i | \(-0.188402\pi\) |
−0.898122 | + | 0.439747i | \(0.855068\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 6.24989 | − | 10.8251i | 0.800217 | − | 1.38602i | −0.119256 | − | 0.992864i | \(-0.538051\pi\) |
0.919473 | − | 0.393153i | \(-0.128616\pi\) | |||||||
\(62\) | −2.80132 | −0.355768 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 28.3200 | 3.54000 | ||||||||
\(65\) | 1.09358 | − | 1.89414i | 0.135642 | − | 0.234939i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.23944 | − | 3.87883i | −0.273592 | − | 0.473875i | 0.696187 | − | 0.717860i | \(-0.254878\pi\) |
−0.969779 | + | 0.243986i | \(0.921545\pi\) | |||||||
\(68\) | −14.3578 | + | 24.8684i | −1.74114 | + | 3.01574i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 14.1560 | + | 6.95021i | 1.69197 | + | 0.830708i | ||||
\(71\) | 6.60274 | 0.783601 | 0.391801 | − | 0.920050i | \(-0.371852\pi\) | ||||
0.391801 | + | 0.920050i | \(0.371852\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 4.14174 | + | 7.17370i | 0.484754 | + | 0.839618i | 0.999847 | − | 0.0175164i | \(-0.00557593\pi\) |
−0.515093 | + | 0.857134i | \(0.672243\pi\) | |||||||
\(74\) | −14.8434 | − | 25.7095i | −1.72551 | − | 2.98867i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.10772 | 0.471188 | ||||||||
\(77\) | 2.48931 | + | 1.22218i | 0.283683 | + | 0.139280i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.07007 | + | 1.85342i | −0.120392 | + | 0.208526i | −0.919922 | − | 0.392100i | \(-0.871749\pi\) |
0.799530 | + | 0.600626i | \(0.205082\pi\) | |||||||
\(80\) | 15.9644 | + | 27.6511i | 1.78487 | + | 3.09149i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −9.97496 | + | 17.2771i | −1.10155 | + | 1.90794i | ||||
\(83\) | 6.66558 | 0.731642 | 0.365821 | − | 0.930685i | \(-0.380788\pi\) | ||||
0.365821 | + | 0.930685i | \(0.380788\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.5728 | −1.25525 | ||||||||
\(86\) | 1.20970 | − | 2.09526i | 0.130445 | − | 0.225938i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.89457 | + | 8.47765i | 0.521763 | + | 0.903720i | ||||
\(89\) | −2.88388 | + | 4.99503i | −0.305691 | + | 0.529472i | −0.977415 | − | 0.211329i | \(-0.932221\pi\) |
0.671724 | + | 0.740802i | \(0.265554\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.19729 | + | 1.47375i | −0.230338 | + | 0.154491i | ||||
\(92\) | −3.54699 | −0.369800 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −3.18515 | − | 5.51684i | −0.328523 | − | 0.569019i | ||||
\(95\) | 0.827739 | + | 1.43369i | 0.0849242 | + | 0.147093i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.88777 | −0.293209 | −0.146604 | − | 0.989195i | \(-0.546834\pi\) | ||||
−0.146604 | + | 0.989195i | \(0.546834\pi\) | |||||||
\(98\) | −11.6661 | − | 15.0939i | −1.17845 | − | 1.52471i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.586967 | − | 1.01666i | 0.0586967 | − | 0.101666i | ||||
\(101\) | −5.62716 | − | 9.74653i | −0.559924 | − | 0.969816i | −0.997502 | − | 0.0706359i | \(-0.977497\pi\) |
0.437579 | − | 0.899180i | \(-0.355836\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.1167 | + | 17.5226i | −0.996828 | + | 1.72656i | −0.429487 | + | 0.903073i | \(0.641306\pi\) |
−0.567341 | + | 0.823483i | \(0.692028\pi\) | |||||||
\(104\) | −9.33940 | −0.915804 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 13.3214 | 1.29389 | ||||||||
\(107\) | 4.52758 | − | 7.84201i | 0.437698 | − | 0.758115i | −0.559813 | − | 0.828619i | \(-0.689127\pi\) |
0.997512 | + | 0.0705034i | \(0.0224606\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.55070 | − | 13.0782i | −0.723226 | − | 1.25266i | −0.959700 | − | 0.281026i | \(-0.909325\pi\) |
0.236474 | − | 0.971638i | \(-0.424008\pi\) | |||||||
\(110\) | −3.12380 | + | 5.41058i | −0.297843 | + | 0.515879i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.59354 | − | 38.5361i | −0.245067 | − | 3.64132i | ||||
\(113\) | −3.10408 | −0.292008 | −0.146004 | − | 0.989284i | \(-0.546641\pi\) | ||||
−0.146004 | + | 0.989284i | \(0.546641\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.714748 | − | 1.23798i | −0.0666506 | − | 0.115442i | ||||
\(116\) | −8.42292 | − | 14.5889i | −0.782048 | − | 1.35455i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.85648 | −0.262961 | ||||||||
\(119\) | 12.5664 | + | 6.16976i | 1.15196 | + | 0.565581i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.95069 | − | 8.57484i | 0.450062 | − | 0.779531i | ||||
\(122\) | −17.0325 | − | 29.5012i | −1.54205 | − | 2.67091i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.78923 | + | 4.83109i | −0.250481 | + | 0.433845i | ||||
\(125\) | 11.4089 | 1.02045 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 8.78914 | 0.779910 | 0.389955 | − | 0.920834i | \(-0.372491\pi\) | ||||
0.389955 | + | 0.920834i | \(0.372491\pi\) | |||||||
\(128\) | 17.4846 | − | 30.2841i | 1.54543 | − | 2.67676i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −2.98028 | − | 5.16200i | −0.261388 | − | 0.452738i | ||||
\(131\) | −5.25723 | + | 9.10580i | −0.459327 | + | 0.795577i | −0.998925 | − | 0.0463451i | \(-0.985243\pi\) |
0.539599 | + | 0.841922i | \(0.318576\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.134473 | − | 1.99807i | −0.0116603 | − | 0.173254i | ||||
\(134\) | −12.2061 | −1.05445 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 24.7086 | + | 42.7965i | 2.11874 | + | 3.66977i | ||||
\(137\) | 4.36583 | + | 7.56183i | 0.372998 | + | 0.646051i | 0.990025 | − | 0.140891i | \(-0.0449966\pi\) |
−0.617028 | + | 0.786942i | \(0.711663\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.00000 | −0.339276 | −0.169638 | − | 0.985506i | \(-0.554260\pi\) | ||||
−0.169638 | + | 0.985506i | \(0.554260\pi\) | |||||||
\(140\) | 26.0812 | − | 17.4930i | 2.20426 | − | 1.47843i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 8.99706 | − | 15.5834i | 0.755016 | − | 1.30773i | ||||
\(143\) | −0.524077 | − | 0.907729i | −0.0438256 | − | 0.0759081i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.39457 | − | 5.87957i | 0.281904 | − | 0.488272i | ||||
\(146\) | 22.5745 | 1.86828 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −59.1174 | −4.85942 | ||||||||
\(149\) | 7.69632 | − | 13.3304i | 0.630507 | − | 1.09207i | −0.356941 | − | 0.934127i | \(-0.616180\pi\) |
0.987448 | − | 0.157944i | \(-0.0504864\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 6.83786 | + | 11.8435i | 0.556457 | + | 0.963812i | 0.997789 | + | 0.0664680i | \(0.0211730\pi\) |
−0.441331 | + | 0.897344i | \(0.645494\pi\) | |||||||
\(152\) | 3.53453 | − | 6.12198i | 0.286688 | − | 0.496558i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 6.27651 | − | 4.20974i | 0.505776 | − | 0.339231i | ||||
\(155\) | −2.24821 | −0.180581 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −1.69378 | − | 2.93371i | −0.135178 | − | 0.234136i | 0.790487 | − | 0.612478i | \(-0.209827\pi\) |
−0.925666 | + | 0.378343i | \(0.876494\pi\) | |||||||
\(158\) | 2.91621 | + | 5.05102i | 0.232001 | + | 0.401838i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 46.1602 | 3.64928 | ||||||||
\(161\) | 0.116117 | + | 1.72532i | 0.00915128 | + | 0.135974i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 6.90502 | − | 11.9598i | 0.540843 | − | 0.936767i | −0.458013 | − | 0.888946i | \(-0.651439\pi\) |
0.998856 | − | 0.0478219i | \(-0.0152280\pi\) | |||||||
\(164\) | 19.8639 | + | 34.4052i | 1.55111 | + | 2.68660i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 9.08268 | − | 15.7317i | 0.704953 | − | 1.22101i | ||||
\(167\) | −16.3783 | −1.26739 | −0.633695 | − | 0.773583i | \(-0.718462\pi\) | ||||
−0.633695 | + | 0.773583i | \(0.718462\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.00000 | 0.0769231 | ||||||||
\(170\) | −15.7694 | + | 27.3134i | −1.20946 | + | 2.09485i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.40896 | − | 4.17244i | −0.183682 | − | 0.318146i | ||||
\(173\) | 2.06273 | − | 3.57275i | 0.156826 | − | 0.271631i | −0.776896 | − | 0.629629i | \(-0.783207\pi\) |
0.933723 | + | 0.357997i | \(0.116540\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.513734 | − | 0.252229i | −0.0388346 | − | 0.0190667i | ||||
\(176\) | 15.3012 | 1.15337 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.85930 | + | 13.6127i | 0.589080 | + | 1.02032i | ||||
\(179\) | 7.20679 | + | 12.4825i | 0.538661 | + | 0.932988i | 0.998976 | + | 0.0452324i | \(0.0144028\pi\) |
−0.460316 | + | 0.887755i | \(0.652264\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 18.1014 | 1.34547 | 0.672733 | − | 0.739885i | \(-0.265120\pi\) | ||||
0.672733 | + | 0.739885i | \(0.265120\pi\) | |||||||
\(182\) | 0.484172 | + | 7.19406i | 0.0358892 | + | 0.533259i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.05204 | + | 5.28629i | −0.225000 | + | 0.389711i | ||||
\(185\) | −11.9126 | − | 20.6333i | −0.875834 | − | 1.51699i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.77302 | + | 4.80302i | −0.202784 | + | 0.351232i | ||||
\(188\) | −12.6856 | −0.925195 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 4.51159 | 0.327305 | ||||||||
\(191\) | 2.77068 | − | 4.79895i | 0.200479 | − | 0.347240i | −0.748204 | − | 0.663469i | \(-0.769083\pi\) |
0.948683 | + | 0.316229i | \(0.102417\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 4.37044 | + | 7.56983i | 0.314591 | + | 0.544888i | 0.979351 | − | 0.202170i | \(-0.0647992\pi\) |
−0.664759 | + | 0.747058i | \(0.731466\pi\) | |||||||
\(194\) | −3.93495 | + | 6.81553i | −0.282513 | + | 0.489327i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −37.6463 | + | 5.09038i | −2.68902 | + | 0.363598i | ||||
\(197\) | 5.46874 | 0.389632 | 0.194816 | − | 0.980840i | \(-0.437589\pi\) | ||||
0.194816 | + | 0.980840i | \(0.437589\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −9.76839 | − | 16.9193i | −0.692463 | − | 1.19938i | −0.971029 | − | 0.238963i | \(-0.923192\pi\) |
0.278566 | − | 0.960417i | \(-0.410141\pi\) | |||||||
\(200\) | −1.01012 | − | 1.74958i | −0.0714264 | − | 0.123714i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −30.6708 | −2.15799 | ||||||||
\(203\) | −6.82056 | + | 4.57464i | −0.478709 | + | 0.321077i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −8.00546 | + | 13.8659i | −0.559125 | + | 0.968433i | ||||
\(206\) | 27.5705 | + | 47.7536i | 1.92093 | + | 3.32715i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −7.29912 | + | 12.6424i | −0.506103 | + | 0.876596i | ||||
\(209\) | 0.793355 | 0.0548775 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 16.6905 | 1.14902 | 0.574511 | − | 0.818497i | \(-0.305192\pi\) | ||||
0.574511 | + | 0.818497i | \(0.305192\pi\) | |||||||
\(212\) | 13.2639 | − | 22.9738i | 0.910971 | − | 1.57785i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −12.3388 | − | 21.3714i | −0.843463 | − | 1.46092i | ||||
\(215\) | 0.970850 | − | 1.68156i | 0.0662114 | − | 0.114682i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.44124 | + | 1.19858i | 0.165722 | + | 0.0813647i | ||||
\(218\) | −41.1551 | −2.78737 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.22065 | + | 10.7745i | 0.419396 | + | 0.726415i | ||||
\(221\) | −2.64562 | − | 4.58236i | −0.177964 | − | 0.308243i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −5.34217 | −0.357738 | −0.178869 | − | 0.983873i | \(-0.557244\pi\) | ||||
−0.178869 | + | 0.983873i | \(0.557244\pi\) | |||||||
\(224\) | −50.1233 | − | 24.6091i | −3.34901 | − | 1.64427i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.22970 | + | 7.32606i | −0.281356 | + | 0.487322i | ||||
\(227\) | 10.0608 | + | 17.4258i | 0.667757 | + | 1.15659i | 0.978530 | + | 0.206104i | \(0.0660786\pi\) |
−0.310774 | + | 0.950484i | \(0.600588\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −12.6249 | + | 21.8669i | −0.834275 | + | 1.44501i | 0.0603445 | + | 0.998178i | \(0.480780\pi\) |
−0.894619 | + | 0.446829i | \(0.852553\pi\) | |||||||
\(230\) | −3.89573 | −0.256877 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −28.9903 | −1.90331 | ||||||||
\(233\) | −0.396678 | + | 0.687066i | −0.0259872 | + | 0.0450112i | −0.878727 | − | 0.477326i | \(-0.841606\pi\) |
0.852739 | + | 0.522337i | \(0.174940\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.55626 | − | 4.42757i | −0.166752 | − | 0.288823i | ||||
\(236\) | −2.84416 | + | 4.92623i | −0.185139 | + | 0.320671i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 31.6848 | − | 21.2514i | 2.05382 | − | 1.37753i | ||||
\(239\) | −20.0488 | −1.29685 | −0.648425 | − | 0.761279i | \(-0.724572\pi\) | ||||
−0.648425 | + | 0.761279i | \(0.724572\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.90602 | − | 11.9616i | −0.444856 | − | 0.770513i | 0.553186 | − | 0.833058i | \(-0.313412\pi\) |
−0.998042 | + | 0.0625446i | \(0.980078\pi\) | |||||||
\(242\) | −13.4919 | − | 23.3686i | −0.867289 | − | 1.50219i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −67.8362 | −4.34277 | ||||||||
\(245\) | −9.36269 | − | 12.1137i | −0.598161 | − | 0.773913i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.378453 | + | 0.655500i | −0.0240804 | + | 0.0417085i | ||||
\(248\) | 4.80004 | + | 8.31392i | 0.304803 | + | 0.527934i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 15.5461 | − | 26.9266i | 0.983222 | − | 1.70299i | ||||
\(251\) | 26.1095 | 1.64802 | 0.824010 | − | 0.566576i | \(-0.191732\pi\) | ||||
0.824010 | + | 0.566576i | \(0.191732\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.685057 | −0.0430692 | ||||||||
\(254\) | 11.9763 | − | 20.7436i | 0.751460 | − | 1.30157i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −19.3298 | − | 33.4801i | −1.20811 | − | 2.09251i | ||||
\(257\) | 5.30990 | − | 9.19701i | 0.331222 | − | 0.573694i | −0.651530 | − | 0.758623i | \(-0.725872\pi\) |
0.982752 | + | 0.184930i | \(0.0592057\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.93531 | + | 28.7557i | 0.120254 | + | 1.78679i | ||||
\(260\) | −11.8697 | −0.736128 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 14.3273 | + | 24.8156i | 0.885142 | + | 1.53311i | ||||
\(263\) | 5.17888 | + | 8.97008i | 0.319343 | + | 0.553119i | 0.980351 | − | 0.197260i | \(-0.0632044\pi\) |
−0.661008 | + | 0.750379i | \(0.729871\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 10.6912 | 0.656753 | ||||||||
\(266\) | −4.89894 | − | 2.40524i | −0.300374 | − | 0.147475i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −12.1534 | + | 21.0504i | −0.742389 | + | 1.28586i | ||||
\(269\) | 5.98503 | + | 10.3664i | 0.364914 | + | 0.632049i | 0.988762 | − | 0.149496i | \(-0.0477652\pi\) |
−0.623849 | + | 0.781545i | \(0.714432\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 1.37845 | − | 2.38755i | 0.0837351 | − | 0.145033i | −0.821116 | − | 0.570761i | \(-0.806648\pi\) |
0.904852 | + | 0.425727i | \(0.139982\pi\) | |||||||
\(272\) | 77.2429 | 4.68354 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 23.7959 | 1.43757 | ||||||||
\(275\) | 0.113365 | − | 0.196354i | 0.00683618 | − | 0.0118406i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.9637 | + | 20.7218i | 0.718831 | + | 1.24505i | 0.961463 | + | 0.274933i | \(0.0886558\pi\) |
−0.242632 | + | 0.970118i | \(0.578011\pi\) | |||||||
\(278\) | −5.45050 | + | 9.44054i | −0.326899 | + | 0.566206i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.62906 | − | 53.9223i | −0.216878 | − | 3.22247i | ||||
\(281\) | 3.87870 | 0.231384 | 0.115692 | − | 0.993285i | \(-0.463091\pi\) | ||||
0.115692 | + | 0.993285i | \(0.463091\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.10499 | + | 5.37801i | 0.184573 | + | 0.319689i | 0.943432 | − | 0.331565i | \(-0.107577\pi\) |
−0.758860 | + | 0.651254i | \(0.774243\pi\) | |||||||
\(284\) | −17.9165 | − | 31.0323i | −1.06315 | − | 1.84143i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2.85648 | −0.168907 | ||||||||
\(287\) | 16.0850 | − | 10.7884i | 0.949468 | − | 0.636821i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −5.49866 | + | 9.52395i | −0.323450 | + | 0.560232i | ||||
\(290\) | −9.25106 | − | 16.0233i | −0.543241 | − | 0.940920i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 22.4772 | − | 38.9316i | 1.31538 | − | 2.27830i | ||||
\(293\) | −16.5754 | −0.968347 | −0.484174 | − | 0.874972i | \(-0.660880\pi\) | ||||
−0.484174 | + | 0.874972i | \(0.660880\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2.29249 | −0.133474 | ||||||||
\(296\) | −50.8681 | + | 88.1062i | −2.95665 | + | 5.12107i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −20.9744 | − | 36.3287i | −1.21501 | − | 2.10447i | ||||
\(299\) | 0.326792 | − | 0.566020i | 0.0188989 | − | 0.0327338i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.95069 | + | 1.30835i | −0.112436 | + | 0.0754121i | ||||
\(302\) | 37.2698 | 2.14463 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −5.52475 | − | 9.56914i | −0.316866 | − | 0.548828i | ||||
\(305\) | −13.6695 | − | 23.6763i | −0.782716 | − | 1.35570i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.05788 | −0.402815 | −0.201407 | − | 0.979508i | \(-0.564551\pi\) | ||||
−0.201407 | + | 0.979508i | \(0.564551\pi\) | |||||||
\(308\) | −1.01060 | − | 15.0159i | −0.0575841 | − | 0.855612i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.06347 | + | 5.30609i | −0.173993 | + | 0.301365i | ||||
\(311\) | 10.5551 | + | 18.2820i | 0.598525 | + | 1.03668i | 0.993039 | + | 0.117785i | \(0.0375795\pi\) |
−0.394514 | + | 0.918890i | \(0.629087\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −0.990260 | + | 1.71518i | −0.0559728 | + | 0.0969477i | −0.892654 | − | 0.450742i | \(-0.851159\pi\) |
0.836681 | + | 0.547690i | \(0.184493\pi\) | |||||||
\(314\) | −9.23194 | −0.520989 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.6145 | 0.653368 | ||||||||
\(317\) | −9.02297 | + | 15.6282i | −0.506781 | + | 0.877770i | 0.493189 | + | 0.869922i | \(0.335831\pi\) |
−0.999969 | + | 0.00784727i | \(0.997502\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.62678 | − | 2.81767i | −0.0910822 | − | 0.157759i | ||||
\(320\) | 30.9703 | − | 53.6421i | 1.73129 | − | 2.99868i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 4.23021 | + | 2.07691i | 0.235740 | + | 0.115742i | ||||
\(323\) | 4.00498 | 0.222843 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.108157 | + | 0.187333i | 0.00599947 | + | 0.0103914i | ||||
\(326\) | −18.8179 | − | 32.5936i | −1.04223 | − | 1.80519i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 68.3682 | 3.77500 | ||||||||
\(329\) | 0.415285 | + | 6.17051i | 0.0228954 | + | 0.340191i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 7.33689 | − | 12.7079i | 0.403272 | − | 0.698488i | −0.590847 | − | 0.806784i | \(-0.701206\pi\) |
0.994119 | + | 0.108296i | \(0.0345395\pi\) | |||||||
\(332\) | −18.0870 | − | 31.3276i | −0.992653 | − | 1.71933i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −22.3175 | + | 38.6550i | −1.22116 | + | 2.11511i | ||||
\(335\) | −9.79606 | −0.535216 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 12.8080 | 0.697698 | 0.348849 | − | 0.937179i | \(-0.386573\pi\) | ||||
0.348849 | + | 0.937179i | \(0.386573\pi\) | |||||||
\(338\) | 1.36263 | − | 2.36014i | 0.0741170 | − | 0.128374i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 31.4028 | + | 54.3913i | 1.70306 | + | 2.94978i | ||||
\(341\) | −0.538705 | + | 0.933065i | −0.0291725 | + | 0.0505283i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.70846 | + | 18.1452i | 0.200238 | + | 0.979747i | ||||
\(344\) | −8.29125 | −0.447034 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.62146 | − | 9.73665i | −0.302211 | − | 0.523445i | ||||
\(347\) | 10.1027 | + | 17.4984i | 0.542342 | + | 0.939363i | 0.998769 | + | 0.0496025i | \(0.0157954\pi\) |
−0.456428 | + | 0.889761i | \(0.650871\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −18.4434 | −0.987252 | −0.493626 | − | 0.869674i | \(-0.664329\pi\) | ||||
−0.493626 | + | 0.869674i | \(0.664329\pi\) | |||||||
\(350\) | −1.29532 | + | 0.868789i | −0.0692378 | + | 0.0464387i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.0607 | − | 19.1576i | 0.589536 | − | 1.02111i | ||||
\(353\) | −4.07218 | − | 7.05322i | −0.216740 | − | 0.375405i | 0.737069 | − | 0.675817i | \(-0.236209\pi\) |
−0.953810 | + | 0.300412i | \(0.902876\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.22064 | − | 12.5065i | 0.383232 | − | 0.663777i | ||||
\(356\) | 31.3016 | 1.65898 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 39.2806 | 2.07604 | ||||||||
\(359\) | −16.3050 | + | 28.2411i | −0.860545 | + | 1.49051i | 0.0108595 | + | 0.999941i | \(0.496543\pi\) |
−0.871404 | + | 0.490566i | \(0.836790\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 9.21355 | + | 15.9583i | 0.484923 | + | 0.839912i | ||||
\(362\) | 24.6654 | − | 42.7218i | 1.29639 | − | 2.24541i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 12.8888 | + | 6.32803i | 0.675557 | + | 0.331679i | ||||
\(365\) | 18.1173 | 0.948304 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.58006 | + | 2.73675i | 0.0824786 | + | 0.142857i | 0.904314 | − | 0.426868i | \(-0.140383\pi\) |
−0.821835 | + | 0.569725i | \(0.807050\pi\) | |||||||
\(368\) | 4.77059 | + | 8.26290i | 0.248684 | + | 0.430733i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −64.9298 | −3.37554 | ||||||||
\(371\) | −11.6091 | − | 5.69972i | −0.602713 | − | 0.295915i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 0.738849 | − | 1.27972i | 0.0382561 | − | 0.0662616i | −0.846263 | − | 0.532765i | \(-0.821153\pi\) |
0.884520 | + | 0.466503i | \(0.154486\pi\) | |||||||
\(374\) | 7.55718 | + | 13.0894i | 0.390773 | + | 0.676838i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −10.9155 | + | 18.9061i | −0.562922 | + | 0.975010i | ||||
\(377\) | 3.10408 | 0.159868 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 10.7254 | 0.550927 | 0.275463 | − | 0.961312i | \(-0.411169\pi\) | ||||
0.275463 | + | 0.961312i | \(0.411169\pi\) | |||||||
\(380\) | 4.49213 | − | 7.78060i | 0.230441 | − | 0.399136i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.55079 | − | 13.0784i | −0.386332 | − | 0.669147i | ||||
\(383\) | −10.7054 | + | 18.5424i | −0.547023 | + | 0.947471i | 0.451454 | + | 0.892294i | \(0.350906\pi\) |
−0.998477 | + | 0.0551766i | \(0.982428\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 5.03725 | − | 3.37855i | 0.256722 | − | 0.172187i | ||||
\(386\) | 23.8211 | 1.21246 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 7.83595 | + | 13.5723i | 0.397810 | + | 0.689027i | ||||
\(389\) | 17.3909 | + | 30.1220i | 0.881755 | + | 1.52725i | 0.849388 | + | 0.527769i | \(0.176971\pi\) |
0.0323675 | + | 0.999476i | \(0.489695\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.45828 | −0.174893 | ||||||||
\(392\) | −24.8066 | + | 60.4866i | −1.25292 | + | 3.05503i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.45185 | − | 12.9070i | 0.375419 | − | 0.650244i | ||||
\(395\) | 2.34042 | + | 4.05373i | 0.117759 | + | 0.203965i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −2.22605 | + | 3.85564i | −0.111722 | + | 0.193509i | −0.916465 | − | 0.400115i | \(-0.868970\pi\) |
0.804742 | + | 0.593624i | \(0.202303\pi\) | |||||||
\(398\) | −53.2426 | −2.66881 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.15780 | −0.157890 | ||||||||
\(401\) | −6.87687 | + | 11.9111i | −0.343415 | + | 0.594811i | −0.985064 | − | 0.172186i | \(-0.944917\pi\) |
0.641650 | + | 0.766998i | \(0.278250\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.513956 | − | 0.890198i | −0.0256020 | − | 0.0443439i | ||||
\(404\) | −30.5385 | + | 52.8943i | −1.51935 | + | 2.63159i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.50291 | + | 22.3310i | 0.0745882 | + | 1.10827i | ||||
\(407\) | −11.4178 | −0.565959 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 1.74603 | + | 3.02422i | 0.0863358 | + | 0.149538i | 0.905960 | − | 0.423364i | \(-0.139151\pi\) |
−0.819624 | + | 0.572902i | \(0.805818\pi\) | |||||||
\(410\) | 21.8169 | + | 37.7879i | 1.07746 | + | 1.86621i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 109.806 | 5.40977 | ||||||||
\(413\) | 2.48931 | + | 1.22218i | 0.122491 | + | 0.0601396i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 7.28935 | − | 12.6255i | 0.357820 | − | 0.619763i | ||||
\(416\) | 10.5525 | + | 18.2775i | 0.517380 | + | 0.896128i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 1.08105 | − | 1.87243i | 0.0528757 | − | 0.0915834i | ||||
\(419\) | 3.56737 | 0.174278 | 0.0871388 | − | 0.996196i | \(-0.472228\pi\) | ||||
0.0871388 | + | 0.996196i | \(0.472228\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −10.0000 | −0.487370 | −0.243685 | − | 0.969854i | \(-0.578356\pi\) | ||||
−0.243685 | + | 0.969854i | \(0.578356\pi\) | |||||||
\(422\) | 22.7429 | − | 39.3919i | 1.10711 | − | 1.91757i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −22.8262 | − | 39.5361i | −1.10854 | − | 1.92004i | ||||
\(425\) | 0.572285 | − | 0.991227i | 0.0277599 | − | 0.0480816i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.22073 | + | 32.9967i | 0.107469 | + | 1.59682i | ||||
\(428\) | −49.1423 | −2.37538 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −2.64581 | − | 4.58268i | −0.127592 | − | 0.220996i | ||||
\(431\) | −5.68211 | − | 9.84171i | −0.273698 | − | 0.474059i | 0.696108 | − | 0.717937i | \(-0.254913\pi\) |
−0.969806 | + | 0.243879i | \(0.921580\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.2136 | −1.01946 | −0.509731 | − | 0.860334i | \(-0.670255\pi\) | ||||
−0.509731 | + | 0.860334i | \(0.670255\pi\) | |||||||
\(434\) | 6.15529 | − | 4.12844i | 0.295464 | − | 0.198171i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −40.9776 | + | 70.9752i | −1.96247 | + | 3.39910i | ||||
\(437\) | 0.247351 | + | 0.428424i | 0.0118324 | + | 0.0204943i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 12.2503 | − | 21.2182i | 0.584676 | − | 1.01269i | −0.410239 | − | 0.911978i | \(-0.634555\pi\) |
0.994916 | − | 0.100711i | \(-0.0321118\pi\) | |||||||
\(440\) | 21.4105 | 1.02070 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −14.4200 | −0.685888 | ||||||||
\(443\) | 20.2344 | − | 35.0470i | 0.961366 | − | 1.66513i | 0.242288 | − | 0.970204i | \(-0.422102\pi\) |
0.719077 | − | 0.694930i | \(-0.244565\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.30753 | + | 10.9250i | 0.299005 | + | 0.517893i | ||||
\(446\) | −7.27937 | + | 12.6082i | −0.344688 | + | 0.597017i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −62.2272 | + | 41.7366i | −2.93996 | + | 1.97187i | ||||
\(449\) | 27.7638 | 1.31025 | 0.655127 | − | 0.755519i | \(-0.272615\pi\) | ||||
0.655127 | + | 0.755519i | \(0.272615\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 3.83646 | + | 6.64494i | 0.180652 | + | 0.312898i | ||||
\(452\) | 8.42292 | + | 14.5889i | 0.396181 | + | 0.686205i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 54.8362 | 2.57359 | ||||||||
\(455\) | 0.388575 | + | 5.77363i | 0.0182167 | + | 0.270672i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.59696 | − | 9.69422i | 0.261815 | − | 0.453476i | −0.704910 | − | 0.709297i | \(-0.749012\pi\) |
0.966724 | + | 0.255821i | \(0.0823457\pi\) | |||||||
\(458\) | 34.4059 | + | 59.5928i | 1.60768 | + | 2.78459i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −3.87893 | + | 6.71850i | −0.180856 | + | 0.313252i | ||||
\(461\) | 9.29773 | 0.433038 | 0.216519 | − | 0.976278i | \(-0.430530\pi\) | ||||
0.216519 | + | 0.976278i | \(0.430530\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 28.2439 | 1.31260 | 0.656302 | − | 0.754499i | \(-0.272120\pi\) | ||||
0.656302 | + | 0.754499i | \(0.272120\pi\) | |||||||
\(464\) | −22.6571 | + | 39.2432i | −1.05183 | + | 1.82182i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.08105 | + | 1.87243i | 0.0500785 | + | 0.0867385i | ||||
\(467\) | 11.1303 | − | 19.2783i | 0.515050 | − | 0.892093i | −0.484797 | − | 0.874626i | \(-0.661107\pi\) |
0.999847 | − | 0.0174663i | \(-0.00555997\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 10.6371 | + | 5.22252i | 0.491177 | + | 0.241154i | ||||
\(470\) | −13.9329 | −0.642676 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.89457 | + | 8.47765i | 0.225291 | + | 0.390215i | ||||
\(473\) | −0.465261 | − | 0.805855i | −0.0213927 | − | 0.0370533i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.163729 | −0.00751242 | ||||||||
\(476\) | −5.10165 | − | 75.8027i | −0.233834 | − | 3.47441i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −27.3190 | + | 47.3179i | −1.24954 | + | 2.16427i | ||||
\(479\) | −16.4382 | − | 28.4718i | −0.751081 | − | 1.30091i | −0.947299 | − | 0.320350i | \(-0.896200\pi\) |
0.196219 | − | 0.980560i | \(-0.437134\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.44661 | − | 9.43381i | 0.248344 | − | 0.430145i | ||||
\(482\) | −37.6413 | −1.71451 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −53.7346 | −2.44248 | ||||||||
\(485\) | −3.15801 | + | 5.46984i | −0.143398 | + | 0.248373i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 13.9462 | + | 24.1555i | 0.631962 | + | 1.09459i | 0.987150 | + | 0.159796i | \(0.0510836\pi\) |
−0.355188 | + | 0.934795i | \(0.615583\pi\) | |||||||
\(488\) | −58.3703 | + | 101.100i | −2.64230 | + | 4.57660i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −41.3477 | + | 5.59086i | −1.86790 | + | 0.252569i | ||||
\(491\) | −10.6571 | −0.480948 | −0.240474 | − | 0.970656i | \(-0.577303\pi\) | ||||
−0.240474 | + | 0.970656i | \(0.577303\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.21224 | − | 14.2240i | −0.369861 | − | 0.640618i | ||||
\(494\) | 1.03138 | + | 1.78640i | 0.0464040 | + | 0.0803740i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 15.0057 | 0.673776 | ||||||||
\(497\) | −14.5081 | + | 9.73078i | −0.650777 | + | 0.436485i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.2557 | − | 21.2275i | 0.548641 | − | 0.950274i | −0.449727 | − | 0.893166i | \(-0.648479\pi\) |
0.998368 | − | 0.0571077i | \(-0.0181878\pi\) | |||||||
\(500\) | −30.9581 | − | 53.6210i | −1.38449 | − | 2.39800i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 35.5775 | − | 61.6221i | 1.58790 | − | 2.75033i | ||||
\(503\) | 38.0054 | 1.69458 | 0.847288 | − | 0.531134i | \(-0.178234\pi\) | ||||
0.847288 | + | 0.531134i | \(0.178234\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −24.6151 | −1.09536 | ||||||||
\(506\) | −0.933476 | + | 1.61683i | −0.0414981 | + | 0.0718768i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −23.8493 | − | 41.3082i | −1.05814 | − | 1.83275i | ||||
\(509\) | 19.9250 | − | 34.5112i | 0.883161 | − | 1.52968i | 0.0353545 | − | 0.999375i | \(-0.488744\pi\) |
0.847807 | − | 0.530305i | \(-0.177923\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −19.6728 | − | 9.65878i | −0.870274 | − | 0.427279i | ||||
\(512\) | −35.4186 | −1.56530 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.4708 | − | 25.0642i | −0.638279 | − | 1.10553i | ||||
\(515\) | 22.1269 | + | 38.3249i | 0.975027 | + | 1.68880i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.45007 | −0.107754 | ||||||||
\(518\) | 70.5045 | + | 34.6157i | 3.09779 | + | 1.52093i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −10.2134 | + | 17.6901i | −0.447887 | + | 0.775764i | ||||
\(521\) | −9.81670 | − | 17.0030i | −0.430077 | − | 0.744916i | 0.566802 | − | 0.823854i | \(-0.308180\pi\) |
−0.996880 | + | 0.0789382i | \(0.974847\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −11.4162 | + | 19.7734i | −0.499195 | + | 0.864632i | −1.00000 | 0.000928862i | \(-0.999704\pi\) | |
0.500804 | + | 0.865561i | \(0.333038\pi\) | |||||||
\(524\) | 57.0619 | 2.49276 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 28.2275 | 1.23078 | ||||||||
\(527\) | −2.71947 | + | 4.71026i | −0.118462 | + | 0.205182i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.2864 | + | 19.5486i | 0.490714 | + | 0.849941i | ||||
\(530\) | 14.5681 | − | 25.2326i | 0.632796 | − | 1.09603i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −9.02584 | + | 6.05375i | −0.391320 | + | 0.262463i | ||||
\(533\) | −7.32040 | −0.317082 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −9.90257 | − | 17.1518i | −0.428125 | − | 0.741535i | ||||
\(536\) | 20.9151 | + | 36.2260i | 0.903394 | + | 1.56472i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 32.6214 | 1.40641 | ||||||||
\(539\) | −7.27092 | + | 0.983142i | −0.313181 | + | 0.0423469i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 4.82334 | − | 8.35427i | 0.207372 | − | 0.359178i | −0.743514 | − | 0.668720i | \(-0.766842\pi\) |
0.950886 | + | 0.309542i | \(0.100176\pi\) | |||||||
\(542\) | −3.75663 | − | 6.50667i | −0.161361 | − | 0.279486i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 55.8360 | − | 96.7108i | 2.39395 | − | 4.14644i | ||||
\(545\) | −33.0292 | −1.41482 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −43.8570 | −1.87519 | −0.937596 | − | 0.347728i | \(-0.886953\pi\) | ||||
−0.937596 | + | 0.347728i | \(0.886953\pi\) | |||||||
\(548\) | 23.6933 | − | 41.0380i | 1.01213 | − | 1.75306i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.308949 | − | 0.535115i | −0.0131736 | − | 0.0228174i | ||||
\(551\) | −1.17475 | + | 2.03473i | −0.0500461 | + | 0.0866823i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.380221 | − | 5.64950i | −0.0161686 | − | 0.240241i | ||||
\(554\) | 65.2083 | 2.77044 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.8540 | + | 18.7996i | 0.460311 | + | 0.797282i | ||||
\(557\) | 7.45977 | + | 12.9207i | 0.316080 | + | 0.547467i | 0.979667 | − | 0.200633i | \(-0.0642997\pi\) |
−0.663586 | + | 0.748100i | \(0.730966\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0.887771 | 0.0375487 | ||||||||
\(560\) | −75.8290 | − | 37.2299i | −3.20436 | − | 1.57325i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.28521 | − | 9.15426i | 0.222943 | − | 0.386149i | ||||
\(563\) | −8.63486 | − | 14.9560i | −0.363916 | − | 0.630321i | 0.624686 | − | 0.780876i | \(-0.285227\pi\) |
−0.988602 | + | 0.150555i | \(0.951894\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −3.39457 | + | 5.87957i | −0.142811 | + | 0.247355i | ||||
\(566\) | 16.9238 | 0.711359 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −61.6657 | −2.58743 | ||||||||
\(569\) | 13.2662 | − | 22.9777i | 0.556148 | − | 0.963277i | −0.441665 | − | 0.897180i | \(-0.645612\pi\) |
0.997813 | − | 0.0660972i | \(-0.0210547\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 0.992844 | + | 1.71966i | 0.0415492 | + | 0.0719654i | 0.886052 | − | 0.463586i | \(-0.153437\pi\) |
−0.844503 | + | 0.535551i | \(0.820104\pi\) | |||||||
\(572\) | −2.84416 | + | 4.92623i | −0.118920 | + | 0.205976i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.54433 | − | 52.6634i | −0.147938 | − | 2.19813i | ||||
\(575\) | 0.141379 | 0.00589593 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.94915 | − | 10.3042i | −0.247666 | − | 0.428971i | 0.715212 | − | 0.698908i | \(-0.246330\pi\) |
−0.962878 | + | 0.269937i | \(0.912997\pi\) | |||||||
\(578\) | 14.9852 | + | 25.9551i | 0.623303 | + | 1.07959i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −36.8446 | −1.52989 | ||||||||
\(581\) | −14.6462 | + | 9.82339i | −0.607626 | + | 0.407543i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2.56176 | − | 4.43711i | 0.106097 | − | 0.183766i | ||||
\(584\) | −38.6814 | − | 66.9981i | −1.60065 | − | 2.77240i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −22.5861 | + | 39.1203i | −0.933024 | + | 1.61604i | ||||
\(587\) | −33.5122 | −1.38320 | −0.691598 | − | 0.722283i | \(-0.743093\pi\) | ||||
−0.691598 | + | 0.722283i | \(0.743093\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.778033 | 0.0320583 | ||||||||
\(590\) | −3.12380 | + | 5.41058i | −0.128605 | + | 0.222750i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 79.5109 | + | 137.717i | 3.26788 | + | 5.66013i | ||||
\(593\) | 17.6408 | − | 30.5547i | 0.724419 | − | 1.25473i | −0.234793 | − | 0.972045i | \(-0.575441\pi\) |
0.959213 | − | 0.282686i | \(-0.0912253\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 25.4288 | − | 17.0554i | 1.04248 | − | 0.699205i | ||||
\(596\) | −83.5357 | −3.42176 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.890590 | − | 1.54255i | −0.0364189 | − | 0.0630794i | ||||
\(599\) | −12.5034 | − | 21.6565i | −0.510876 | − | 0.884863i | −0.999921 | − | 0.0126040i | \(-0.995988\pi\) |
0.489045 | − | 0.872259i | \(-0.337345\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −28.4688 | −1.16127 | −0.580634 | − | 0.814165i | \(-0.697195\pi\) | ||||
−0.580634 | + | 0.814165i | \(0.697195\pi\) | |||||||
\(602\) | 0.429834 | + | 6.38668i | 0.0175187 | + | 0.260301i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 37.1090 | − | 64.2747i | 1.50994 | − | 2.61530i | ||||
\(605\) | −10.8280 | − | 18.7546i | −0.440219 | − | 0.762482i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −18.0234 | + | 31.2175i | −0.731549 | + | 1.26708i | 0.224672 | + | 0.974434i | \(0.427869\pi\) |
−0.956221 | + | 0.292646i | \(0.905464\pi\) | |||||||
\(608\) | −15.9745 | −0.647853 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −74.5058 | −3.01665 | ||||||||
\(611\) | 1.16875 | − | 2.02434i | 0.0472827 | − | 0.0818961i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.16264 | − | 15.8702i | −0.370075 | − | 0.640989i | 0.619501 | − | 0.784996i | \(-0.287335\pi\) |
−0.989577 | + | 0.144006i | \(0.954001\pi\) | |||||||
\(614\) | −9.61725 | + | 16.6576i | −0.388121 | + | 0.672245i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −23.2487 | − | 11.4144i | −0.936717 | − | 0.459901i | ||||
\(617\) | −44.3782 | −1.78660 | −0.893299 | − | 0.449463i | \(-0.851615\pi\) | ||||
−0.893299 | + | 0.449463i | \(0.851615\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 12.5043 | + | 21.6580i | 0.502588 | + | 0.870509i | 0.999996 | + | 0.00299144i | \(0.000952205\pi\) |
−0.497407 | + | 0.867517i | \(0.665714\pi\) | |||||||
\(620\) | 6.10051 | + | 10.5664i | 0.245002 | + | 0.424357i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 57.5306 | 2.30677 | ||||||||
\(623\) | −1.02471 | − | 15.2256i | −0.0410541 | − | 0.610002i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.9358 | − | 20.6734i | 0.477433 | − | 0.826938i | ||||
\(626\) | 2.69871 | + | 4.67429i | 0.107862 | + | 0.186822i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.19212 | + | 15.9212i | −0.366806 | + | 0.635326i | ||||
\(629\) | −57.6388 | −2.29821 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −18.4638 | −0.735032 | −0.367516 | − | 0.930017i | \(-0.619792\pi\) | ||||
−0.367516 | + | 0.930017i | \(0.619792\pi\) | |||||||
\(632\) | 9.99382 | − | 17.3098i | 0.397533 | − | 0.688547i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 24.5899 | + | 42.5909i | 0.976588 | + | 1.69150i | ||||
\(635\) | 9.61165 | − | 16.6479i | 0.381427 | − | 0.660650i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.65613 | − | 6.47650i | 0.105240 | − | 0.256608i | ||||
\(638\) | −8.86677 | −0.351039 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −38.2416 | − | 66.2364i | −1.51163 | − | 2.61822i | ||||
\(641\) | −10.6284 | − | 18.4088i | −0.419795 | − | 0.727106i | 0.576124 | − | 0.817362i | \(-0.304565\pi\) |
−0.995919 | + | 0.0902567i | \(0.971231\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −36.0554 | −1.42188 | −0.710942 | − | 0.703251i | \(-0.751731\pi\) | ||||
−0.710942 | + | 0.703251i | \(0.751731\pi\) | |||||||
\(644\) | 7.79376 | − | 5.22738i | 0.307117 | − | 0.205988i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.45729 | − | 9.45230i | 0.214714 | − | 0.371896i | ||||
\(647\) | 19.9117 | + | 34.4881i | 0.782809 | + | 1.35587i | 0.930299 | + | 0.366802i | \(0.119547\pi\) |
−0.147490 | + | 0.989064i | \(0.547119\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.549314 | + | 0.951440i | −0.0215625 | + | 0.0373473i | ||||
\(650\) | 0.589510 | 0.0231225 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −74.9469 | −2.93515 | ||||||||
\(653\) | −16.2335 | + | 28.1172i | −0.635265 | + | 1.10031i | 0.351195 | + | 0.936303i | \(0.385776\pi\) |
−0.986459 | + | 0.164008i | \(0.947558\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 11.4984 | + | 19.9159i | 0.449281 | + | 0.778177i | ||||
\(656\) | 53.4324 | − | 92.5477i | 2.08619 | − | 3.61338i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 15.1291 | + | 7.42796i | 0.589794 | + | 0.289572i | ||||
\(659\) | −23.5230 | −0.916327 | −0.458164 | − | 0.888868i | \(-0.651493\pi\) | ||||
−0.458164 | + | 0.888868i | \(0.651493\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.01944 | − | 12.1580i | −0.273025 | − | 0.472893i | 0.696610 | − | 0.717450i | \(-0.254691\pi\) |
−0.969635 | + | 0.244557i | \(0.921357\pi\) | |||||||
\(662\) | −19.9949 | − | 34.6321i | −0.777122 | − | 1.34602i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −62.2525 | −2.41587 | ||||||||
\(665\) | −3.93167 | − | 1.93034i | −0.152464 | − | 0.0748553i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.01439 | − | 1.75698i | 0.0392773 | − | 0.0680303i | ||||
\(668\) | 44.4424 | + | 76.9765i | 1.71953 | + | 2.97831i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −13.3484 | + | 23.1200i | −0.515692 | + | 0.893205i | ||||
\(671\) | −13.1017 | −0.505786 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −47.1937 | −1.81918 | −0.909592 | − | 0.415502i | \(-0.863606\pi\) | ||||
−0.909592 | + | 0.415502i | \(0.863606\pi\) | |||||||
\(674\) | 17.4526 | − | 30.2287i | 0.672247 | − | 1.16437i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.71349 | − | 4.69991i | −0.104365 | − | 0.180766i | ||||
\(677\) | −4.79438 | + | 8.30411i | −0.184263 | + | 0.319153i | −0.943328 | − | 0.331862i | \(-0.892323\pi\) |
0.759065 | + | 0.651015i | \(0.225656\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.34526 | − | 4.25585i | 0.243509 | − | 0.163325i | ||||
\(680\) | 108.083 | 4.14481 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.46811 | + | 2.54284i | 0.0562167 | + | 0.0973702i | ||||
\(683\) | 23.6581 | + | 40.9769i | 0.905250 | + | 1.56794i | 0.820581 | + | 0.571530i | \(0.193650\pi\) |
0.0846691 | + | 0.996409i | \(0.473017\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 19.0976 | 0.729680 | ||||||||
\(686\) | 47.8783 | + | 15.9726i | 1.82800 | + | 0.609837i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −6.47994 | + | 11.2236i | −0.247045 | + | 0.427895i | ||||
\(689\) | 2.44407 | + | 4.23325i | 0.0931117 | + | 0.161274i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 13.5559 | − | 23.4796i | 0.515692 | − | 0.893205i | −0.484142 | − | 0.874990i | \(-0.660868\pi\) |
0.999834 | − | 0.0182158i | \(-0.00579859\pi\) | |||||||
\(692\) | −22.3888 | −0.851095 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 55.0648 | 2.09023 | ||||||||
\(695\) | −4.37433 | + | 7.57656i | −0.165928 | + | 0.287395i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 19.3670 | + | 33.5447i | 0.733578 | + | 1.27059i | ||||
\(698\) | −25.1314 | + | 43.5289i | −0.951238 | + | 1.64759i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0.208563 | + | 3.09893i | 0.00788293 | + | 0.117128i | ||||
\(701\) | 1.79821 | 0.0679176 | 0.0339588 | − | 0.999423i | \(-0.489189\pi\) | ||||
0.0339588 | + | 0.999423i | \(0.489189\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 4.12258 | + | 7.14051i | 0.155486 | + | 0.269310i | ||||
\(704\) | −14.8419 | − | 25.7069i | −0.559375 | − | 0.968866i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −22.1954 | −0.835336 | ||||||||
\(707\) | 26.7284 | + | 13.1229i | 1.00523 | + | 0.493537i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 14.1615 | − | 24.5284i | 0.531846 | − | 0.921185i | −0.467462 | − | 0.884013i | \(-0.654832\pi\) |
0.999309 | − | 0.0371721i | \(-0.0118350\pi\) | |||||||
\(710\) | −19.6780 | − | 34.0834i | −0.738504 | − | 1.27913i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 26.9337 | − | 46.6506i | 1.00938 | − | 1.74831i | ||||
\(713\) | −0.671827 | −0.0251601 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.29249 | −0.0857341 | ||||||||
\(716\) | 39.1112 | − | 67.7425i | 1.46165 | − | 2.53166i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 44.4352 | + | 76.9640i | 1.65831 | + | 2.87227i | ||||
\(719\) | −20.9485 | + | 36.2839i | −0.781249 | + | 1.35316i | 0.149966 | + | 0.988691i | \(0.452084\pi\) |
−0.931215 | + | 0.364471i | \(0.881250\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3.59469 | − | 53.4117i | −0.133873 | − | 1.98916i | ||||
\(722\) | 50.2184 | 1.86894 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −49.1180 | − | 85.0749i | −1.82546 | − | 3.16179i | ||||
\(725\) | 0.335728 | + | 0.581499i | 0.0124686 | + | 0.0215963i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 19.5123 | 0.723670 | 0.361835 | − | 0.932242i | \(-0.382150\pi\) | ||||
0.361835 | + | 0.932242i | \(0.382150\pi\) | |||||||
\(728\) | 20.5213 | − | 13.7639i | 0.760571 | − | 0.510125i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 24.6871 | − | 42.7593i | 0.913711 | − | 1.58259i | ||||
\(731\) | −2.34871 | − | 4.06808i | −0.0868701 | − | 0.150463i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −8.87698 | + | 15.3754i | −0.327879 | + | 0.567902i | −0.982091 | − | 0.188409i | \(-0.939667\pi\) |
0.654212 | + | 0.756311i | \(0.273000\pi\) | |||||||
\(734\) | 8.61213 | 0.317880 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 13.7939 | 0.508450 | ||||||||
\(737\) | −2.34728 | + | 4.06562i | −0.0864633 | + | 0.149759i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −22.1571 | − | 38.3772i | −0.815061 | − | 1.41173i | −0.909284 | − | 0.416176i | \(-0.863370\pi\) |
0.0942227 | − | 0.995551i | \(-0.469963\pi\) | |||||||
\(740\) | −64.6497 | + | 111.977i | −2.37657 | + | 4.11634i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −29.2709 | + | 19.6324i | −1.07457 | + | 0.720729i | ||||
\(743\) | 7.16727 | 0.262941 | 0.131471 | − | 0.991320i | \(-0.458030\pi\) | ||||
0.131471 | + | 0.991320i | \(0.458030\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −16.8331 | − | 29.1558i | −0.616718 | − | 1.06819i | ||||
\(746\) | −2.01355 | − | 3.48757i | −0.0737212 | − | 0.127689i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 30.0983 | 1.10050 | ||||||||
\(749\) | 1.60875 | + | 23.9036i | 0.0587826 | + | 0.873420i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.9532 | − | 29.3639i | 0.618632 | − | 1.07150i | −0.371103 | − | 0.928592i | \(-0.621020\pi\) |
0.989736 | − | 0.142911i | \(-0.0456462\pi\) | |||||||
\(752\) | 17.0618 | + | 29.5518i | 0.622178 | + | 1.07764i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.22970 | − | 7.32606i | 0.154037 | − | 0.266799i | ||||
\(755\) | 29.9110 | 1.08857 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.906670 | −0.0329535 | −0.0164767 | − | 0.999864i | \(-0.505245\pi\) | ||||
−0.0164767 | + | 0.999864i | \(0.505245\pi\) | |||||||
\(758\) | 14.6147 | − | 25.3134i | 0.530830 | − | 0.919424i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −7.73059 | − | 13.3898i | −0.280418 | − | 0.485698i | ||||
\(761\) | 10.1247 | − | 17.5365i | 0.367020 | − | 0.635697i | −0.622079 | − | 0.782955i | \(-0.713712\pi\) |
0.989098 | + | 0.147258i | \(0.0470449\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 35.8650 | + | 17.6087i | 1.29840 | + | 0.637477i | ||||
\(764\) | −30.0729 | −1.08800 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 29.1750 | + | 50.5326i | 1.05414 | + | 1.82582i | ||||
\(767\) | −0.524077 | − | 0.907729i | −0.0189233 | − | 0.0327762i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −36.9094 | −1.33099 | −0.665494 | − | 0.746403i | \(-0.731779\pi\) | ||||
−0.665494 | + | 0.746403i | \(0.731779\pi\) | |||||||
\(770\) | −1.10996 | − | 16.4923i | −0.0400001 | − | 0.594341i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 23.7183 | − | 41.0814i | 0.853642 | − | 1.47855i | ||||
\(773\) | −4.94018 | − | 8.55665i | −0.177686 | − | 0.307761i | 0.763402 | − | 0.645924i | \(-0.223528\pi\) |
−0.941088 | + | 0.338163i | \(0.890194\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0.111176 | − | 0.192562i | 0.00399355 | − | 0.00691704i | ||||
\(776\) | 26.9701 | 0.968169 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 94.7893 | 3.39836 | ||||||||
\(779\) | 2.77043 | − | 4.79852i | 0.0992609 | − | 0.171925i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −3.46035 | − | 5.99350i | −0.123821 | − | 0.214464i | ||||
\(782\) | −4.71233 | + | 8.16200i | −0.168513 | + | 0.291873i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 62.4913 | + | 80.8526i | 2.23183 | + | 2.88759i | ||||
\(785\) | −7.40915 | −0.264444 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −18.8411 | − | 32.6337i | −0.671611 | − | 1.16326i | −0.977447 | − | 0.211180i | \(-0.932269\pi\) |
0.305836 | − | 0.952084i | \(-0.401064\pi\) | |||||||
\(788\) | −14.8394 | − | 25.7026i | −0.528632 | − | 0.915617i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 12.7565 | 0.453854 | ||||||||
\(791\) | 6.82056 | − | 4.57464i | 0.242511 | − | 0.162656i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.24989 | − | 10.8251i | 0.221940 | − | 0.384412i | ||||
\(794\) | 6.06656 | + | 10.5076i | 0.215294 | + | 0.372900i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −53.0129 | + | 91.8211i | −1.87899 | + | 3.25451i | ||||
\(797\) | −28.3837 | −1.00540 | −0.502701 | − | 0.864460i | \(-0.667660\pi\) | ||||
−0.502701 | + | 0.864460i | \(0.667660\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −12.3683 | −0.437560 | ||||||||
\(800\) | −2.28266 | + | 3.95368i | −0.0807041 | + | 0.139784i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 18.7412 | + | 32.4607i | 0.661775 | + | 1.14623i | ||||
\(803\) | 4.34118 | − | 7.51915i | 0.153197 | − | 0.265345i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 3.39498 | + | 1.66684i | 0.119657 | + | 0.0587482i | ||||
\(806\) | −2.80132 | −0.0986722 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 52.5543 | + | 91.0268i | 1.84886 | + | 3.20231i | ||||
\(809\) | −5.87327 | − | 10.1728i | −0.206493 | − | 0.357657i | 0.744114 | − | 0.668052i | \(-0.232872\pi\) |
−0.950607 | + | 0.310396i | \(0.899539\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.01940 | 0.0709108 | 0.0354554 | − | 0.999371i | \(-0.488712\pi\) | ||||
0.0354554 | + | 0.999371i | \(0.488712\pi\) | |||||||
\(812\) | 40.0080 | + | 19.6428i | 1.40400 | + | 0.689326i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −15.5582 | + | 26.9475i | −0.545313 | + | 0.944511i | ||||
\(815\) | −15.1024 | − | 26.1581i | −0.529014 | − | 0.916280i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −0.335980 | + | 0.581934i | −0.0117544 | + | 0.0203593i | ||||
\(818\) | 9.51676 | 0.332746 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 86.8910 | 3.03437 | ||||||||
\(821\) | −7.54208 | + | 13.0633i | −0.263220 | + | 0.455911i | −0.967096 | − | 0.254412i | \(-0.918118\pi\) |
0.703875 | + | 0.710323i | \(0.251451\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.38828 | + | 12.7969i | 0.257539 | + | 0.446071i | 0.965582 | − | 0.260098i | \(-0.0837550\pi\) |
−0.708043 | + | 0.706170i | \(0.750422\pi\) | |||||||
\(824\) | 94.4839 | − | 163.651i | 3.29150 | − | 5.70105i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6.27651 | − | 4.20974i | 0.218388 | − | 0.146476i | ||||
\(827\) | −13.0407 | −0.453471 | −0.226736 | − | 0.973956i | \(-0.572805\pi\) | ||||
−0.226736 | + | 0.973956i | \(0.572805\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 12.7291 | + | 22.0474i | 0.442099 | + | 0.765738i | 0.997845 | − | 0.0656144i | \(-0.0209007\pi\) |
−0.555746 | + | 0.831352i | \(0.687567\pi\) | |||||||
\(830\) | −19.8653 | − | 34.4077i | −0.689535 | − | 1.19431i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 28.3200 | 0.981820 | ||||||||
\(833\) | −36.7047 | + | 4.96305i | −1.27174 | + | 0.171960i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −17.9110 | + | 31.0228i | −0.619835 | + | 1.07359i | ||||
\(836\) | −2.15277 | − | 3.72870i | −0.0744549 | − | 0.128960i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 4.86099 | − | 8.41948i | 0.167920 | − | 0.290846i | ||||
\(839\) | −32.1703 | −1.11064 | −0.555321 | − | 0.831636i | \(-0.687404\pi\) | ||||
−0.555321 | + | 0.831636i | \(0.687404\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.3647 | −0.667747 | ||||||||
\(842\) | −13.6263 | + | 23.6014i | −0.469592 | + | 0.813357i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −45.2896 | − | 78.4439i | −1.55893 | − | 2.70015i | ||||
\(845\) | 1.09358 | − | 1.89414i | 0.0376204 | − | 0.0651604i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.75909 | + | 26.1374i | 0.0604431 | + | 0.898093i | ||||
\(848\) | −71.3582 | −2.45045 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −1.55962 | − | 2.70134i | −0.0534946 | − | 0.0926553i | ||||
\(851\) | −3.55982 | − | 6.16579i | −0.122029 | − | 0.211360i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −19.3910 | −0.663934 | −0.331967 | − | 0.943291i | \(-0.607712\pi\) | ||||
−0.331967 | + | 0.943291i | \(0.607712\pi\) | |||||||
\(854\) | 80.9027 | + | 39.7209i | 2.76843 | + | 1.35922i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −42.2849 | + | 73.2396i | −1.44527 | + | 2.50328i | ||||
\(857\) | 8.71210 | + | 15.0898i | 0.297600 | + | 0.515458i | 0.975586 | − | 0.219616i | \(-0.0704806\pi\) |
−0.677987 | + | 0.735074i | \(0.737147\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.7459 | − | 30.7367i | 0.605481 | − | 1.04872i | −0.386495 | − | 0.922292i | \(-0.626314\pi\) |
0.991975 | − | 0.126432i | \(-0.0403524\pi\) | |||||||
\(860\) | −10.5376 | −0.359329 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30.9704 | −1.05486 | ||||||||
\(863\) | 28.0010 | − | 48.4991i | 0.953164 | − | 1.65093i | 0.214648 | − | 0.976691i | \(-0.431140\pi\) |
0.738516 | − | 0.674236i | \(-0.235527\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −4.51153 | − | 7.81420i | −0.153397 | − | 0.265691i | ||||
\(866\) | −28.9062 | + | 50.0670i | −0.982273 | + | 1.70135i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −0.991079 | − | 14.7259i | −0.0336394 | − | 0.499830i | ||||
\(869\) | 2.24320 | 0.0760953 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.23944 | − | 3.87883i | −0.0758807 | − | 0.131429i | ||||
\(872\) | 70.5190 | + | 122.143i | 2.38808 | + | 4.13627i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.34819 | 0.0456031 | ||||||||
\(875\) | −25.0687 | + | 16.8139i | −0.847476 | + | 0.568414i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.6031 | + | 21.8292i | −0.425577 | + | 0.737120i | −0.996474 | − | 0.0839011i | \(-0.973262\pi\) |
0.570898 | + | 0.821021i | \(0.306595\pi\) | |||||||
\(878\) | −33.3852 | − | 57.8249i | −1.12670 | − | 1.95150i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 16.7331 | − | 28.9826i | 0.564074 | − | 0.977004i | ||||
\(881\) | 18.6082 | 0.626925 | 0.313463 | − | 0.949601i | \(-0.398511\pi\) | ||||
0.313463 | + | 0.949601i | \(0.398511\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −11.2552 | −0.378768 | −0.189384 | − | 0.981903i | \(-0.560649\pi\) | ||||
−0.189384 | + | 0.981903i | \(0.560649\pi\) | |||||||
\(884\) | −14.3578 | + | 24.8684i | −0.482904 | + | 0.836415i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −55.1438 | − | 95.5119i | −1.85259 | − | 3.20879i | ||||
\(887\) | −19.6056 | + | 33.9579i | −0.658292 | + | 1.14020i | 0.322765 | + | 0.946479i | \(0.395388\pi\) |
−0.981057 | + | 0.193717i | \(0.937946\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −19.3123 | + | 12.9530i | −0.647712 | + | 0.434429i | ||||
\(890\) | 34.3792 | 1.15239 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 14.4959 | + | 25.1077i | 0.485360 | + | 0.840668i | ||||
\(893\) | 0.884638 | + | 1.53224i | 0.0296033 | + | 0.0512744i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 31.5249 | 1.05376 | ||||||||
\(896\) | 6.21266 | + | 92.3107i | 0.207551 | + | 3.08389i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 37.8316 | − | 65.5263i | 1.26246 | − | 2.18664i | ||||
\(899\) | −1.59536 | − | 2.76325i | −0.0532083 | − | 0.0921595i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 12.9322 | − | 22.3992i | 0.430834 | − | 0.746226i | ||||
\(902\) | 20.9106 | 0.696247 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 28.9903 | 0.964203 | ||||||||
\(905\) | 19.7954 | − | 34.2866i | 0.658020 | − | 1.13972i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −10.7985 | − | 18.7035i | −0.358558 | − | 0.621040i | 0.629162 | − | 0.777274i | \(-0.283398\pi\) |
−0.987720 | + | 0.156234i | \(0.950065\pi\) | |||||||
\(908\) | 54.5997 | − | 94.5694i | 1.81195 | − | 3.13840i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 14.1560 | + | 6.95021i | 0.469268 | + | 0.230397i | ||||
\(911\) | 32.4434 | 1.07490 | 0.537449 | − | 0.843297i | \(-0.319388\pi\) | ||||
0.537449 | + | 0.843297i | \(0.319388\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.49328 | − | 6.05054i | −0.115611 | − | 0.200244i | ||||
\(914\) | −15.2531 | − | 26.4192i | −0.504528 | − | 0.873868i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 137.030 | 4.52760 | ||||||||
\(917\) | −1.86802 | − | 27.7559i | −0.0616873 | − | 0.916580i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −17.8686 | + | 30.9493i | −0.589430 | + | 1.02092i | 0.404877 | + | 0.914371i | \(0.367314\pi\) |
−0.994307 | + | 0.106552i | \(0.966019\pi\) | |||||||
\(920\) | 6.67532 | + | 11.5620i | 0.220079 | + | 0.381187i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.6693 | − | 21.9439i | 0.417242 | − | 0.722684i | ||||
\(923\) | 6.60274 | 0.217332 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 2.35636 | 0.0774765 | ||||||||
\(926\) | 38.4858 | − | 66.6594i | 1.26472 | − | 2.19056i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 32.7559 | + | 56.7349i | 1.07527 | + | 1.86241i | ||||
\(929\) | 5.88847 | − | 10.1991i | 0.193194 | − | 0.334622i | −0.753113 | − | 0.657891i | \(-0.771449\pi\) |
0.946307 | + | 0.323269i | \(0.104782\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.24012 | + | 4.19214i | 0.106191 | + | 0.137392i | ||||
\(932\) | 4.30553 | 0.141032 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −30.3329 | − | 52.5382i | −0.992523 | − | 1.71910i | ||||
\(935\) | 6.06506 | + | 10.5050i | 0.198349 | + | 0.343550i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 18.9937 | 0.620497 | 0.310248 | − | 0.950655i | \(-0.399588\pi\) | ||||
0.310248 | + | 0.950655i | \(0.399588\pi\) | |||||||
\(938\) | 26.8203 | − | 17.9887i | 0.875713 | − | 0.587352i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −13.8728 | + | 24.0284i | −0.452480 | + | 0.783719i | ||||
\(941\) | 3.40932 | + | 5.90511i | 0.111141 | + | 0.192501i | 0.916230 | − | 0.400652i | \(-0.131216\pi\) |
−0.805090 | + | 0.593153i | \(0.797883\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.39225 | + | 4.14349i | −0.0779023 | + | 0.134931i | ||||
\(944\) | 15.3012 | 0.498012 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −2.53590 | −0.0824493 | ||||||||
\(947\) | 0.529958 | − | 0.917914i | 0.0172213 | − | 0.0298282i | −0.857286 | − | 0.514840i | \(-0.827851\pi\) |
0.874508 | + | 0.485012i | \(0.161185\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 4.14174 | + | 7.17370i | 0.134446 | + | 0.232868i | ||||
\(950\) | −0.223102 | + | 0.386424i | −0.00723838 | + | 0.0125372i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −117.363 | − | 57.6219i | −3.80376 | − | 1.86753i | ||||
\(953\) | 40.4127 | 1.30910 | 0.654548 | − | 0.756020i | \(-0.272859\pi\) | ||||
0.654548 | + | 0.756020i | \(0.272859\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.05993 | − | 10.4961i | −0.196095 | − | 0.339646i | ||||
\(956\) | 54.4023 | + | 94.2276i | 1.75950 | + | 3.04754i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −89.5964 | −2.89473 | ||||||||
\(959\) | −20.7372 | − | 10.1814i | −0.669639 | − | 0.328774i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.9717 | − | 25.9317i | 0.482958 | − | 0.836508i | ||||
\(962\) | −14.8434 | − | 25.7095i | −0.478570 | − | 0.828907i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −37.4789 | + | 64.9154i | −1.20711 | + | 2.09078i | ||||
\(965\) | 19.1177 | 0.615422 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −36.2949 | −1.16717 | −0.583583 | − | 0.812053i | \(-0.698350\pi\) | ||||
−0.583583 | + | 0.812053i | \(0.698350\pi\) | |||||||
\(968\) | −46.2365 | + | 80.0839i | −1.48610 | + | 2.57399i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 8.60638 | + | 14.9067i | 0.276334 | + | 0.478625i | ||||
\(971\) | −10.7218 | + | 18.5708i | −0.344080 | + | 0.595964i | −0.985186 | − | 0.171488i | \(-0.945142\pi\) |
0.641106 | + | 0.767452i | \(0.278476\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.78914 | − | 5.89500i | 0.281767 | − | 0.188985i | ||||
\(974\) | 76.0137 | 2.43564 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 91.2374 | + | 158.028i | 2.92044 | + | 5.05835i | ||||
\(977\) | −19.9138 | − | 34.4918i | −0.637100 | − | 1.10349i | −0.986066 | − | 0.166354i | \(-0.946801\pi\) |
0.348966 | − | 0.937135i | \(-0.386533\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 6.04551 | 0.193215 | ||||||||
\(980\) | −31.5275 | + | 76.8742i | −1.00711 | + | 2.45565i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −14.5216 | + | 25.1522i | −0.463403 | + | 0.802638i | ||||
\(983\) | 7.94071 | + | 13.7537i | 0.253269 | + | 0.438675i | 0.964424 | − | 0.264360i | \(-0.0851608\pi\) |
−0.711155 | + | 0.703036i | \(0.751827\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 5.98052 | − | 10.3586i | 0.190555 | − | 0.330051i | ||||
\(986\) | −44.7608 | −1.42548 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 4.10772 | 0.130684 | ||||||||
\(989\) | 0.290116 | − | 0.502496i | 0.00922516 | − | 0.0159785i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.83435 | + | 15.3016i | 0.280633 | + | 0.486070i | 0.971541 | − | 0.236873i | \(-0.0761225\pi\) |
−0.690908 | + | 0.722943i | \(0.742789\pi\) | |||||||
\(992\) | 10.8471 | − | 18.7877i | 0.344394 | − | 0.596509i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.19686 | + | 47.5005i | 0.101398 | + | 1.50662i | ||||
\(995\) | −42.7301 | −1.35464 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 12.4304 | + | 21.5301i | 0.393675 | + | 0.681865i | 0.992931 | − | 0.118692i | \(-0.0378701\pi\) |
−0.599256 | + | 0.800558i | \(0.704537\pi\) | |||||||
\(998\) | −33.3999 | − | 57.8503i | −1.05725 | − | 1.83122i | ||||
\(999\) | 0 | 0 |
(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 | 819.2.j.h.352.5 | 10 | ||
3.2 | odd | 2 | 91.2.e.c.79.1 | yes | 10 | ||
7.2 | even | 3 | 5733.2.a.bl.1.1 | 5 | |||
7.4 | even | 3 | inner | 819.2.j.h.235.5 | 10 | ||
7.5 | odd | 6 | 5733.2.a.bm.1.1 | 5 | |||
12.11 | even | 2 | 1456.2.r.p.625.2 | 10 | |||
21.2 | odd | 6 | 637.2.a.l.1.5 | 5 | |||
21.5 | even | 6 | 637.2.a.k.1.5 | 5 | |||
21.11 | odd | 6 | 91.2.e.c.53.1 | ✓ | 10 | ||
21.17 | even | 6 | 637.2.e.m.508.1 | 10 | |||
21.20 | even | 2 | 637.2.e.m.79.1 | 10 | |||
39.38 | odd | 2 | 1183.2.e.f.170.5 | 10 | |||
84.11 | even | 6 | 1456.2.r.p.417.2 | 10 | |||
273.116 | odd | 6 | 1183.2.e.f.508.5 | 10 | |||
273.194 | even | 6 | 8281.2.a.bx.1.1 | 5 | |||
273.233 | odd | 6 | 8281.2.a.bw.1.1 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.2.e.c.53.1 | ✓ | 10 | 21.11 | odd | 6 | ||
91.2.e.c.79.1 | yes | 10 | 3.2 | odd | 2 | ||
637.2.a.k.1.5 | 5 | 21.5 | even | 6 | |||
637.2.a.l.1.5 | 5 | 21.2 | odd | 6 | |||
637.2.e.m.79.1 | 10 | 21.20 | even | 2 | |||
637.2.e.m.508.1 | 10 | 21.17 | even | 6 | |||
819.2.j.h.235.5 | 10 | 7.4 | even | 3 | inner | ||
819.2.j.h.352.5 | 10 | 1.1 | even | 1 | trivial | ||
1183.2.e.f.170.5 | 10 | 39.38 | odd | 2 | |||
1183.2.e.f.508.5 | 10 | 273.116 | odd | 6 | |||
1456.2.r.p.417.2 | 10 | 84.11 | even | 6 | |||
1456.2.r.p.625.2 | 10 | 12.11 | even | 2 | |||
5733.2.a.bl.1.1 | 5 | 7.2 | even | 3 | |||
5733.2.a.bm.1.1 | 5 | 7.5 | odd | 6 | |||
8281.2.a.bw.1.1 | 5 | 273.233 | odd | 6 | |||
8281.2.a.bx.1.1 | 5 | 273.194 | even | 6 |