Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(13,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.i (of order \(11\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 43 x^{18} - 165 x^{17} + 538 x^{16} - 1433 x^{15} + 3444 x^{14} - 7370 x^{13} + \cdots + 529 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 169.1 | ||
Root | \(-0.0616736 - 0.0396352i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 276.169 |
Dual form | 276.2.i.a.49.1 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{3}{11}\right)\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.415415 | + | 0.909632i | 0.239840 | + | 0.525176i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −2.38152 | − | 2.74842i | −1.06505 | − | 1.22913i | −0.972372 | − | 0.233436i | \(-0.925003\pi\) |
−0.0926766 | − | 0.995696i | \(-0.529542\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.67577 | − | 2.36227i | −1.38931 | − | 0.892855i | −0.389703 | − | 0.920940i | \(-0.627422\pi\) |
−0.999606 | + | 0.0280858i | \(0.991059\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −0.654861 | + | 0.755750i | −0.218287 | + | 0.251917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.389333 | − | 2.70787i | −0.117388 | − | 0.816453i | −0.960413 | − | 0.278579i | \(-0.910137\pi\) |
0.843025 | − | 0.537874i | \(-0.180772\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.17334 | + | 3.32470i | −1.43483 | + | 0.922107i | −0.435062 | + | 0.900401i | \(0.643274\pi\) |
−0.999764 | + | 0.0217064i | \(0.993090\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.51073 | − | 3.30804i | 0.390070 | − | 0.854133i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 1.26223 | − | 0.370623i | 0.306135 | − | 0.0898892i | −0.125057 | − | 0.992150i | \(-0.539911\pi\) |
0.431192 | + | 0.902260i | \(0.358093\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 5.16792 | + | 1.51744i | 1.18560 | + | 0.348124i | 0.814331 | − | 0.580400i | \(-0.197104\pi\) |
0.371271 | + | 0.928525i | \(0.378922\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.621829 | − | 4.32492i | 0.135694 | − | 0.943774i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.596495 | − | 4.75859i | 0.124378 | − | 0.992235i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.17061 | + | 8.14175i | −0.234121 | + | 1.62835i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −0.959493 | − | 0.281733i | −0.184655 | − | 0.0542195i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 6.27083 | − | 1.84128i | 1.16446 | − | 0.341917i | 0.358298 | − | 0.933607i | \(-0.383357\pi\) |
0.806166 | + | 0.591690i | \(0.201539\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.69960 | − | 3.72161i | 0.305258 | − | 0.668422i | −0.693381 | − | 0.720571i | \(-0.743880\pi\) |
0.998639 | + | 0.0521491i | \(0.0166071\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 2.30143 | − | 1.47904i | 0.400627 | − | 0.257468i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 2.26140 | + | 15.7284i | 0.382246 | + | 2.65858i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3.77633 | + | 4.35811i | −0.620824 | + | 0.716469i | −0.975863 | − | 0.218382i | \(-0.929922\pi\) |
0.355039 | + | 0.934851i | \(0.384467\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −5.17334 | − | 3.32470i | −0.828397 | − | 0.532379i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −5.09298 | − | 5.87761i | −0.795389 | − | 0.917928i | 0.202730 | − | 0.979235i | \(-0.435019\pi\) |
−0.998119 | + | 0.0613065i | \(0.980473\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.90999 | − | 8.56169i | −0.596268 | − | 1.30565i | −0.931579 | − | 0.363538i | \(-0.881569\pi\) |
0.335311 | − | 0.942107i | \(-0.391159\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3.63668 | 0.542125 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −5.07522 | −0.740297 | −0.370148 | − | 0.928973i | \(-0.620693\pi\) | ||||
−0.370148 | + | 0.928973i | \(0.620693\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.02302 | + | 10.9989i | 0.717575 | + | 1.57127i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.861478 | + | 0.994198i | 0.120631 | + | 0.139216i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 3.43531 | + | 2.20774i | 0.471877 | + | 0.303257i | 0.754881 | − | 0.655862i | \(-0.227695\pi\) |
−0.283004 | + | 0.959119i | \(0.591331\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.51516 | + | 7.51890i | −0.878504 | + | 1.01385i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0.766521 | + | 5.33127i | 0.101528 | + | 0.706144i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −2.90665 | + | 1.86799i | −0.378414 | + | 0.243192i | −0.715996 | − | 0.698104i | \(-0.754027\pi\) |
0.337582 | + | 0.941296i | \(0.390391\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.10276 | + | 2.41471i | −0.141194 | + | 0.309172i | −0.966997 | − | 0.254786i | \(-0.917995\pi\) |
0.825803 | + | 0.563958i | \(0.190722\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 4.19240 | − | 1.23100i | 0.528193 | − | 0.155091i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 21.4581 | + | 6.30067i | 2.66155 | + | 0.781502i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.627040 | − | 4.36116i | 0.0766052 | − | 0.532801i | −0.914996 | − | 0.403464i | \(-0.867806\pi\) |
0.991601 | − | 0.129337i | \(-0.0412848\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.57636 | − | 1.43420i | 0.550929 | − | 0.172657i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 1.45569 | − | 10.1245i | 0.172759 | − | 1.20156i | −0.700264 | − | 0.713884i | \(-0.746934\pi\) |
0.873023 | − | 0.487679i | \(-0.162156\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 6.23284 | + | 1.83013i | 0.729499 | + | 0.214200i | 0.625331 | − | 0.780360i | \(-0.284964\pi\) |
0.104168 | + | 0.994560i | \(0.466782\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −7.89228 | + | 2.31738i | −0.911322 | + | 0.267588i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −4.96562 | + | 10.8732i | −0.565885 | + | 1.23912i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.84247 | + | 1.82675i | −0.319803 | + | 0.205525i | −0.690686 | − | 0.723155i | \(-0.742691\pi\) |
0.370883 | + | 0.928680i | \(0.379055\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.142315 | − | 0.989821i | −0.0158128 | − | 0.109980i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.71120 | − | 5.43702i | 0.517122 | − | 0.596790i | −0.435786 | − | 0.900050i | \(-0.643530\pi\) |
0.952908 | + | 0.303260i | \(0.0980751\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.02464 | − | 2.58648i | −0.436534 | − | 0.280543i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.27989 | + | 4.93925i | 0.458852 | + | 0.529543i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −4.07521 | − | 8.92347i | −0.431972 | − | 0.945886i | −0.993003 | − | 0.118091i | \(-0.962322\pi\) |
0.561031 | − | 0.827795i | \(-0.310405\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 26.8698 | 2.81672 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 4.09134 | 0.424252 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −8.13695 | − | 17.8174i | −0.834834 | − | 1.82803i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.60428 | − | 1.85144i | −0.162890 | − | 0.187985i | 0.668437 | − | 0.743769i | \(-0.266964\pi\) |
−0.831327 | + | 0.555784i | \(0.812418\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.30143 | + | 1.47904i | 0.231302 | + | 0.148649i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −10.7712 | + | 12.4307i | −1.07178 | + | 1.23690i | −0.101516 | + | 0.994834i | \(0.532369\pi\) |
−0.970261 | + | 0.242063i | \(0.922176\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.732867 | + | 5.09720i | 0.0722115 | + | 0.502242i | 0.993542 | + | 0.113463i | \(0.0361942\pi\) |
−0.921331 | + | 0.388780i | \(0.872897\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −13.3676 | + | 8.59083i | −1.30454 | + | 0.838380i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −3.77368 | + | 8.26320i | −0.364815 | + | 0.798833i | 0.634842 | + | 0.772642i | \(0.281065\pi\) |
−0.999657 | + | 0.0261913i | \(0.991662\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 3.02983 | − | 0.889638i | 0.290205 | − | 0.0852119i | −0.133390 | − | 0.991064i | \(-0.542586\pi\) |
0.423595 | + | 0.905852i | \(0.360768\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.53302 | − | 1.62464i | −0.525171 | − | 0.154204i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1.95433 | − | 13.5927i | 0.183848 | − | 1.27869i | −0.663711 | − | 0.747990i | \(-0.731019\pi\) |
0.847559 | − | 0.530702i | \(-0.178072\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −14.4992 | + | 9.69327i | −1.35206 | + | 0.903902i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.875174 | − | 6.08697i | 0.0809098 | − | 0.562740i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.51516 | − | 1.61940i | −0.505574 | − | 0.148450i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.37345 | − | 0.990535i | 0.306677 | − | 0.0900486i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3.23076 | − | 7.07438i | 0.291308 | − | 0.637875i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 9.86792 | − | 6.34173i | 0.882614 | − | 0.567222i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.39341 | − | 9.69141i | −0.123646 | − | 0.859974i | −0.953371 | − | 0.301802i | \(-0.902412\pi\) |
0.829725 | − | 0.558172i | \(-0.188497\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 6.16372 | − | 7.11331i | 0.542685 | − | 0.626292i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 4.15454 | + | 2.66996i | 0.362984 | + | 0.233275i | 0.709401 | − | 0.704805i | \(-0.248966\pi\) |
−0.346417 | + | 0.938080i | \(0.612602\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −15.4115 | − | 17.7858i | −1.33634 | − | 1.54222i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 1.51073 | + | 3.30804i | 0.130023 | + | 0.284711i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −21.0333 | −1.79699 | −0.898496 | − | 0.438982i | \(-0.855339\pi\) | ||||
−0.898496 | + | 0.438982i | \(0.855339\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −8.52288 | −0.722901 | −0.361451 | − | 0.932391i | \(-0.617718\pi\) | ||||
−0.361451 | + | 0.932391i | \(0.617718\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −2.10832 | − | 4.61658i | −0.177553 | − | 0.388786i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.0170 | + | 12.7143i | 0.921289 | + | 1.06322i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −19.9947 | − | 12.8498i | −1.66047 | − | 1.06712i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −7.91830 | + | 9.13821i | −0.653090 | + | 0.753707i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 0.416644 | + | 2.89782i | 0.0341328 | + | 0.237399i | 0.999745 | − | 0.0225883i | \(-0.00719069\pi\) |
−0.965612 | + | 0.259987i | \(0.916282\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.9062 | − | 9.57967i | 1.21305 | − | 0.779582i | 0.231886 | − | 0.972743i | \(-0.425510\pi\) |
0.981167 | + | 0.193161i | \(0.0618739\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.546484 | + | 1.19663i | −0.0441806 | + | 0.0967420i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −14.2762 | + | 4.19188i | −1.14669 | + | 0.336700i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 6.80773 | + | 1.99893i | 0.543316 | + | 0.159532i | 0.541863 | − | 0.840467i | \(-0.317719\pi\) |
0.00145328 | + | 0.999999i | \(0.499537\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −0.581152 | + | 4.04200i | −0.0460883 | + | 0.320551i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −13.4337 | + | 16.0824i | −1.05872 | + | 1.26747i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −0.120072 | + | 0.835116i | −0.00940473 | + | 0.0654113i | −0.993983 | − | 0.109531i | \(-0.965065\pi\) |
0.984579 | + | 0.174943i | \(0.0559740\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −9.54593 | − | 2.80294i | −0.743149 | − | 0.218208i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 18.2940 | − | 5.37161i | 1.41563 | − | 0.415668i | 0.517612 | − | 0.855616i | \(-0.326821\pi\) |
0.898023 | + | 0.439948i | \(0.145003\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 10.3094 | − | 22.5744i | 0.793031 | − | 1.73649i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −4.53107 | + | 2.91194i | −0.346500 | + | 0.222682i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.19624 | + | 15.2752i | 0.166977 | + | 1.16135i | 0.885088 | + | 0.465424i | \(0.154098\pi\) |
−0.718111 | + | 0.695929i | \(0.754993\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 23.5359 | − | 27.1619i | 1.77915 | − | 2.05324i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −2.90665 | − | 1.86799i | −0.218477 | − | 0.140407i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 7.96069 | + | 9.18713i | 0.595010 | + | 0.686678i | 0.970763 | − | 0.240042i | \(-0.0771612\pi\) |
−0.375753 | + | 0.926720i | \(0.622616\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.09564 | − | 6.77850i | −0.230097 | − | 0.503842i | 0.759003 | − | 0.651087i | \(-0.225687\pi\) |
−0.989100 | + | 0.147245i | \(0.952959\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −2.65460 | −0.196234 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 20.9713 | 1.54184 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.49502 | − | 3.27364i | −0.109327 | − | 0.239393i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 2.86134 | + | 3.30217i | 0.208132 | + | 0.240197i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −6.49183 | − | 4.17204i | −0.469732 | − | 0.301878i | 0.284277 | − | 0.958742i | \(-0.408246\pi\) |
−0.754009 | + | 0.656864i | \(0.771883\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.64707 | − | 6.51706i | 0.406485 | − | 0.469108i | −0.515188 | − | 0.857077i | \(-0.672278\pi\) |
0.921672 | + | 0.387969i | \(0.126823\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 3.18273 | + | 22.1364i | 0.227920 | + | 1.58522i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.19376 | − | 5.26581i | 0.583781 | − | 0.375173i | −0.215164 | − | 0.976578i | \(-0.569028\pi\) |
0.798944 | + | 0.601405i | \(0.205392\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 6.61876 | − | 14.4931i | 0.469191 | − | 1.02739i | −0.516104 | − | 0.856526i | \(-0.672618\pi\) |
0.985295 | − | 0.170860i | \(-0.0546546\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 4.22753 | − | 1.24132i | 0.298187 | − | 0.0875557i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −27.3997 | − | 8.04528i | −1.92308 | − | 0.564668i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.02512 | + | 27.9953i | −0.281126 | + | 1.95528i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 3.20568 | + | 3.56702i | 0.222810 | + | 0.247925i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.09698 | − | 14.5848i | 0.145051 | − | 1.00885i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.96850 | − | 1.45888i | −0.342046 | − | 0.100434i | 0.106198 | − | 0.994345i | \(-0.466132\pi\) |
−0.448244 | + | 0.893911i | \(0.647950\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 9.81433 | − | 2.88175i | 0.672467 | − | 0.197454i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −14.2194 | + | 31.1362i | −0.969755 | + | 2.12347i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −15.0388 | + | 9.66486i | −1.02090 | + | 0.656093i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0.924473 | + | 6.42985i | 0.0624701 | + | 0.434489i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −5.29771 | + | 6.11388i | −0.356363 | + | 0.411264i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.9141 | + | 7.01405i | 0.730860 | + | 0.469695i | 0.852399 | − | 0.522891i | \(-0.175147\pi\) |
−0.121539 | + | 0.992587i | \(0.538783\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −5.38654 | − | 6.21640i | −0.359103 | − | 0.414426i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −3.94877 | − | 8.64661i | −0.262089 | − | 0.573896i | 0.732142 | − | 0.681152i | \(-0.238521\pi\) |
−0.994231 | + | 0.107256i | \(0.965793\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 16.4978 | 1.09020 | 0.545102 | − | 0.838370i | \(-0.316491\pi\) | ||||
0.545102 | + | 0.838370i | \(0.316491\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −11.9534 | −0.786476 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 0.696931 | + | 1.52607i | 0.0456574 | + | 0.0999759i | 0.931086 | − | 0.364799i | \(-0.118862\pi\) |
−0.885429 | + | 0.464775i | \(0.846135\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 12.0867 | + | 13.9488i | 0.788452 | + | 0.909922i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −2.84247 | − | 1.82675i | −0.184638 | − | 0.118660i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −0.289779 | + | 0.334423i | −0.0187443 | + | 0.0216320i | −0.765044 | − | 0.643978i | \(-0.777283\pi\) |
0.746300 | + | 0.665610i | \(0.231828\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 4.13843 | + | 28.7834i | 0.266580 | + | 1.85410i | 0.480165 | + | 0.877178i | \(0.340577\pi\) |
−0.213586 | + | 0.976924i | \(0.568514\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0.841254 | − | 0.540641i | 0.0539664 | − | 0.0346821i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 18.2672 | − | 39.9995i | 1.16705 | − | 2.55547i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −31.7804 | + | 9.33158i | −2.02214 | + | 0.593754i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 6.90279 | + | 2.02684i | 0.437446 | + | 0.128446i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −1.09678 | + | 7.62826i | −0.0692280 | + | 0.481491i | 0.925484 | + | 0.378787i | \(0.123659\pi\) |
−0.994712 | + | 0.102704i | \(0.967250\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −13.1179 | + | 0.237447i | −0.824714 | + | 0.0149281i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0.680849 | − | 4.73541i | 0.0426364 | − | 0.296543i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −19.2008 | − | 5.63786i | −1.19771 | − | 0.351680i | −0.378735 | − | 0.925505i | \(-0.623641\pi\) |
−0.818978 | + | 0.573825i | \(0.805459\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 24.1759 | − | 7.09869i | 1.50222 | − | 0.441091i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −2.71497 | + | 5.94496i | −0.168053 | + | 0.367984i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 10.8503 | − | 6.97308i | 0.669059 | − | 0.429978i | −0.161527 | − | 0.986868i | \(-0.551642\pi\) |
0.830586 | + | 0.556890i | \(0.188006\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.11347 | − | 14.6995i | −0.129829 | − | 0.902982i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6.42417 | − | 7.41389i | 0.393153 | − | 0.453723i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 12.9289 | + | 8.30888i | 0.788287 | + | 0.506601i | 0.871774 | − | 0.489908i | \(-0.162970\pi\) |
−0.0834876 | + | 0.996509i | \(0.526606\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 13.2251 | + | 15.2626i | 0.803370 | + | 0.927139i | 0.998561 | − | 0.0536265i | \(-0.0170780\pi\) |
−0.195191 | + | 0.980765i | \(0.562533\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 11.1621 | + | 24.4417i | 0.675563 | + | 1.47928i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 22.5025 | 1.35695 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 22.7999 | 1.36991 | 0.684957 | − | 0.728584i | \(-0.259821\pi\) | ||||
0.684957 | + | 0.728584i | \(0.259821\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 1.69960 | + | 3.72161i | 0.101753 | + | 0.222807i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.75419 | − | 11.2569i | −0.581886 | − | 0.671533i | 0.386123 | − | 0.922447i | \(-0.373814\pi\) |
−0.968009 | + | 0.250915i | \(0.919269\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.530368 | + | 0.340847i | 0.0315271 | + | 0.0202612i | 0.556309 | − | 0.830975i | \(-0.312217\pi\) |
−0.524782 | + | 0.851236i | \(0.675853\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.8271 | − | 14.8033i | 0.759812 | − | 0.876870i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 4.83608 | + | 33.6357i | 0.285465 | + | 1.98545i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.8455 | + | 8.25528i | −0.755615 | + | 0.485604i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.01768 | − | 2.22842i | 0.0596577 | − | 0.130632i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.4802 | + | 3.66452i | −0.729101 | + | 0.214083i | −0.625156 | − | 0.780500i | \(-0.714965\pi\) |
−0.103945 | + | 0.994583i | \(0.533147\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 12.0563 | + | 3.54005i | 0.701944 | + | 0.206109i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −0.389333 | + | 2.70787i | −0.0225914 | + | 0.157126i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 12.7350 | + | 26.6010i | 0.736486 | + | 1.53837i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −5.85281 | + | 40.7072i | −0.337351 | + | 2.34633i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −15.7819 | − | 4.63397i | −0.906644 | − | 0.266215i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 9.26290 | − | 2.71983i | 0.530392 | − | 0.155737i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −4.34960 | + | 9.52429i | −0.248245 | + | 0.543580i | −0.992201 | − | 0.124648i | \(-0.960220\pi\) |
0.743956 | + | 0.668228i | \(0.232947\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −4.33213 | + | 2.78409i | −0.246447 | + | 0.158382i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −0.934480 | − | 6.49945i | −0.0529895 | − | 0.368550i | −0.999012 | − | 0.0444482i | \(-0.985847\pi\) |
0.946022 | − | 0.324102i | \(-0.105062\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 6.05372 | − | 6.98637i | 0.342177 | − | 0.394893i | −0.558413 | − | 0.829563i | \(-0.688590\pi\) |
0.900590 | + | 0.434670i | \(0.143135\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −13.3676 | − | 8.59083i | −0.753179 | − | 0.484039i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −17.1993 | − | 19.8491i | −0.966009 | − | 1.11483i | −0.993341 | − | 0.115208i | \(-0.963247\pi\) |
0.0273323 | − | 0.999626i | \(-0.491299\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −7.42739 | − | 16.2637i | −0.415854 | − | 0.910593i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −9.08411 | −0.507026 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 7.08548 | 0.394246 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −21.0130 | − | 46.0120i | −1.16559 | − | 2.55228i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 2.06788 | + | 2.38646i | 0.114354 | + | 0.131972i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 18.6553 | + | 11.9890i | 1.02850 | + | 0.660977i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 8.65360 | − | 9.98678i | 0.475645 | − | 0.548923i | −0.466328 | − | 0.884612i | \(-0.654423\pi\) |
0.941973 | + | 0.335689i | \(0.108969\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −0.820674 | − | 5.70791i | −0.0449727 | − | 0.312792i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −13.4796 | + | 8.66283i | −0.736471 | + | 0.473301i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −0.171381 | + | 0.375272i | −0.00933572 | + | 0.0204424i | −0.914242 | − | 0.405168i | \(-0.867213\pi\) |
0.904907 | + | 0.425610i | \(0.139940\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 13.1762 | − | 3.86888i | 0.715632 | − | 0.210129i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −10.7394 | − | 3.15336i | −0.581569 | − | 0.170764i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.16609 | − | 22.0207i | 0.170953 | − | 1.18900i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −14.8405 | − | 9.16219i | −0.798985 | − | 0.493276i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.33726 | + | 16.2560i | −0.125470 | + | 0.872666i | 0.825724 | + | 0.564074i | \(0.190767\pi\) |
−0.951195 | + | 0.308592i | \(0.900142\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −19.4599 | − | 5.71394i | −1.04166 | − | 0.305860i | −0.284219 | − | 0.958759i | \(-0.591734\pi\) |
−0.757445 | + | 0.652899i | \(0.773552\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 5.90046 | − | 1.73253i | 0.314943 | − | 0.0924757i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −1.33471 | + | 2.92262i | −0.0710397 | + | 0.155555i | −0.941821 | − | 0.336116i | \(-0.890887\pi\) |
0.870781 | + | 0.491671i | \(0.163614\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −31.2933 | + | 20.1110i | −1.66088 | + | 1.06738i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.818024 | − | 5.68948i | −0.0432944 | − | 0.301119i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 15.1188 | − | 17.4481i | 0.797941 | − | 0.920873i | −0.200326 | − | 0.979729i | \(-0.564200\pi\) |
0.998266 | + | 0.0588565i | \(0.0187454\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.42096 | + | 5.41182i | 0.443209 | + | 0.284833i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 2.30240 | + | 2.65712i | 0.120845 | + | 0.139462i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.81368 | − | 21.4890i | −0.513672 | − | 1.12478i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −28.8899 | −1.50804 | −0.754019 | − | 0.656852i | \(-0.771888\pi\) | ||||
−0.754019 | + | 0.656852i | \(0.771888\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 7.77719 | 0.404864 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.41212 | − | 16.2303i | −0.384818 | − | 0.842634i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.27775 | + | 9.55304i | 0.428606 | + | 0.494637i | 0.928439 | − | 0.371484i | \(-0.121151\pi\) |
−0.499834 | + | 0.866121i | \(0.666605\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 9.86792 | + | 6.34173i | 0.509577 | + | 0.327486i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −26.3194 | + | 30.3742i | −1.35552 | + | 1.56435i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.618344 | + | 4.30067i | 0.0317622 | + | 0.220911i | 0.999520 | − | 0.0309706i | \(-0.00985981\pi\) |
−0.967758 | + | 0.251881i | \(0.918951\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 8.23677 | − | 5.29345i | 0.421983 | − | 0.271192i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 3.68558 | − | 8.07030i | 0.188325 | − | 0.412373i | −0.791793 | − | 0.610789i | \(-0.790852\pi\) |
0.980118 | + | 0.198416i | \(0.0635796\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 41.7099 | − | 12.2471i | 2.12573 | − | 0.624171i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 9.03099 | + | 2.65174i | 0.459071 | + | 0.134795i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 0.965816 | − | 6.71740i | 0.0489688 | − | 0.340586i | −0.950578 | − | 0.310486i | \(-0.899508\pi\) |
0.999547 | − | 0.0301000i | \(-0.00958258\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.01073 | − | 6.22749i | −0.0511149 | − | 0.314938i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.702823 | + | 4.88824i | −0.0354527 | + | 0.246579i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 11.7901 | + | 3.46188i | 0.593223 | + | 0.174186i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −25.4063 | + | 7.45996i | −1.27511 | + | 0.374405i | −0.848096 | − | 0.529843i | \(-0.822251\pi\) |
−0.427009 | + | 0.904247i | \(0.640433\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 9.77636 | − | 21.4072i | 0.489430 | − | 1.07170i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 27.9191 | − | 17.9425i | 1.39421 | − | 0.896005i | 0.394474 | − | 0.918907i | \(-0.370927\pi\) |
0.999738 | + | 0.0229020i | \(0.00729058\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.58063 | + | 24.9039i | 0.178364 | + | 1.24055i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −2.38152 | + | 2.74842i | −0.118339 | + | 0.136570i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 13.2714 | + | 8.52904i | 0.657841 | + | 0.422769i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.9775 | − | 21.9012i | −0.938379 | − | 1.08295i | −0.996412 | − | 0.0846322i | \(-0.973028\pi\) |
0.0580335 | − | 0.998315i | \(-0.481517\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −8.73753 | − | 19.1325i | −0.430991 | − | 0.943738i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 15.0969 | 0.742869 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −26.1631 | −1.28429 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −3.54053 | − | 7.75269i | −0.173381 | − | 0.379651i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −1.66642 | − | 1.92315i | −0.0814099 | − | 0.0939520i | 0.713583 | − | 0.700570i | \(-0.247071\pi\) |
−0.794993 | + | 0.606618i | \(0.792526\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.57139 | + | 4.22317i | 0.320270 | + | 0.205825i | 0.690890 | − | 0.722959i | \(-0.257219\pi\) |
−0.370621 | + | 0.928784i | \(0.620855\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 3.32356 | − | 3.83559i | 0.161597 | − | 0.186493i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.53995 | + | 10.7106i | 0.0746985 | + | 0.519539i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 9.75770 | − | 6.27090i | 0.472208 | − | 0.303470i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −6.98871 | + | 15.3031i | −0.337418 | + | 0.738843i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.78212 | − | 0.816903i | 0.134010 | − | 0.0393488i | −0.214040 | − | 0.976825i | \(-0.568662\pi\) |
0.348050 | + | 0.937476i | \(0.386844\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.39277 | + | 1.87709i | 0.307217 | + | 0.0902071i | 0.431707 | − | 0.902014i | \(-0.357911\pi\) |
−0.124490 | + | 0.992221i | \(0.539730\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 3.38251 | − | 23.5259i | 0.162179 | − | 1.12798i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 10.3035 | − | 23.6869i | 0.492883 | − | 1.13310i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.604131 | − | 4.20183i | 0.0288336 | − | 0.200542i | −0.970313 | − | 0.241854i | \(-0.922245\pi\) |
0.999146 | + | 0.0413116i | \(0.0131536\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −11.6018 | − | 3.40659i | −0.552466 | − | 0.162219i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 5.27795 | − | 1.54975i | 0.250763 | − | 0.0736307i | −0.153935 | − | 0.988081i | \(-0.549195\pi\) |
0.404698 | + | 0.914450i | \(0.367377\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.8203 | + | 32.4519i | −0.702548 | + | 1.53837i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.46287 | + | 1.58279i | −0.116490 | + | 0.0748635i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −2.33564 | − | 16.2447i | −0.110226 | − | 0.766637i | −0.967699 | − | 0.252108i | \(-0.918876\pi\) |
0.857473 | − | 0.514529i | \(-0.172033\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −13.9329 | + | 16.0795i | −0.656076 | + | 0.757152i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 14.9062 | + | 9.57967i | 0.700357 | + | 0.450092i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −63.9911 | − | 73.8497i | −2.99995 | − | 3.46213i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.5754 | + | 25.3465i | 0.541472 | + | 1.18566i | 0.960652 | + | 0.277756i | \(0.0895906\pi\) |
−0.419179 | + | 0.907903i | \(0.637682\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −1.31551 | −0.0614029 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 27.4201 | 1.27708 | 0.638541 | − | 0.769588i | \(-0.279538\pi\) | ||||
0.638541 | + | 0.769588i | \(0.279538\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 13.8112 | + | 30.2424i | 0.641863 | + | 1.40548i | 0.898499 | + | 0.438976i | \(0.144659\pi\) |
−0.256636 | + | 0.966508i | \(0.582614\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −9.74362 | − | 11.2447i | −0.451849 | − | 0.521462i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −28.7156 | − | 18.4544i | −1.32880 | − | 0.853967i | −0.332771 | − | 0.943008i | \(-0.607984\pi\) |
−0.996028 | + | 0.0890402i | \(0.971620\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.6071 | + | 14.5494i | −0.582142 | + | 0.671828i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 1.00974 | + | 7.02292i | 0.0465265 | + | 0.323599i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −21.6616 | + | 13.9211i | −0.996003 | + | 0.640092i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −18.4042 | + | 40.2996i | −0.844443 | + | 1.84907i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −3.91815 | + | 1.15047i | −0.179400 | + | 0.0526766i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −27.4641 | − | 8.06418i | −1.25486 | − | 0.368462i | −0.414284 | − | 0.910148i | \(-0.635968\pi\) |
−0.840581 | + | 0.541686i | \(0.817786\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5.04678 | − | 35.1012i | 0.230114 | − | 1.60047i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −20.2096 | − | 5.53882i | −0.919568 | − | 0.252025i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −1.26790 | + | 8.81847i | −0.0575726 | + | 0.400426i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −34.1056 | − | 10.0143i | −1.54547 | − | 0.453791i | −0.605727 | − | 0.795672i | \(-0.707118\pi\) |
−0.939743 | + | 0.341881i | \(0.888936\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −0.809527 | + | 0.237699i | −0.0366081 | + | 0.0107491i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 9.11835 | − | 19.9664i | 0.411505 | − | 0.901071i | −0.584468 | − | 0.811417i | \(-0.698697\pi\) |
0.995973 | − | 0.0896538i | \(-0.0285761\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.23278 | − | 4.64822i | 0.325748 | − | 0.209345i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.41588 | − | 9.84766i | −0.0636391 | − | 0.442619i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −29.2677 | + | 33.7767i | −1.31284 | + | 1.51509i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −10.7906 | − | 6.93468i | −0.483052 | − | 0.310439i | 0.276354 | − | 0.961056i | \(-0.410874\pi\) |
−0.759406 | + | 0.650617i | \(0.774510\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12.4858 | + | 14.4094i | 0.557825 | + | 0.643764i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 0.517099 | + | 1.13229i | 0.0230563 | + | 0.0504863i | 0.920810 | − | 0.390012i | \(-0.127529\pi\) |
−0.897754 | + | 0.440498i | \(0.854802\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 59.8166 | 2.66180 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 24.8171 | 1.10217 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 0.237544 | + | 0.520148i | 0.0105289 | + | 0.0230552i | 0.914823 | − | 0.403854i | \(-0.132330\pi\) |
−0.904294 | + | 0.426909i | \(0.859602\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −18.5872 | − | 21.4508i | −0.822249 | − | 0.948926i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −4.53107 | − | 2.91194i | −0.200052 | − | 0.128565i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 12.2639 | − | 14.1533i | 0.540413 | − | 0.623670i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 1.97595 | + | 13.7430i | 0.0869021 | + | 0.604417i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −12.9825 | + | 8.34333i | −0.569867 | + | 0.366231i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −8.53713 | + | 18.6937i | −0.374018 | + | 0.818986i | 0.625238 | + | 0.780434i | \(0.285002\pi\) |
−0.999257 | + | 0.0385519i | \(0.987726\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −14.8487 | + | 4.35996i | −0.649287 | + | 0.190648i | −0.589759 | − | 0.807579i | \(-0.700777\pi\) |
−0.0595271 | + | 0.998227i | \(0.518959\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 34.4845 | + | 10.1256i | 1.50503 | + | 0.441915i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.765969 | − | 5.32743i | 0.0333661 | − | 0.232066i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −22.2884 | − | 5.67695i | −0.969060 | − | 0.246824i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.491718 | − | 3.41998i | 0.0213388 | − | 0.148414i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 45.8890 | + | 13.4742i | 1.98767 | + | 0.583634i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 31.6978 | − | 9.30733i | 1.37042 | − | 0.402391i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −5.04991 | + | 11.0578i | −0.217920 | + | 0.477178i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 27.8279 | − | 17.8839i | 1.19863 | − | 0.770315i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.32894 | + | 9.24297i | 0.0571355 | + | 0.397386i | 0.998242 | + | 0.0592750i | \(0.0188789\pi\) |
−0.941106 | + | 0.338111i | \(0.890212\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 4.87996 | − | 5.63178i | 0.209419 | − | 0.241683i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −9.66071 | − | 6.20856i | −0.413819 | − | 0.265945i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.42649 | + | 3.95438i | 0.146506 | + | 0.169077i | 0.824259 | − | 0.566212i | \(-0.191592\pi\) |
−0.677753 | + | 0.735289i | \(0.737046\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.10276 | − | 2.41471i | −0.0470648 | − | 0.103057i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 35.2012 | 1.49962 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.7635 | 0.627809 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 8.71181 | + | 19.0762i | 0.369796 | + | 0.809739i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 30.0671 | + | 34.6992i | 1.27398 | + | 1.47025i | 0.812336 | + | 0.583189i | \(0.198195\pi\) |
0.461646 | + | 0.887064i | \(0.347259\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 48.6928 | + | 31.2930i | 2.05949 | + | 1.32355i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.35676 | − | 2.71984i | 0.0995023 | − | 0.114832i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.29462 | − | 22.9146i | −0.138852 | − | 0.965734i | −0.933478 | − | 0.358635i | \(-0.883242\pi\) |
0.794626 | − | 0.607099i | \(-0.207667\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −42.0127 | + | 26.9999i | −1.76749 | + | 1.13590i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −1.81511 | + | 3.97454i | −0.0762275 | + | 0.166915i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −4.68564 | + | 1.37583i | −0.196432 | + | 0.0576777i | −0.378469 | − | 0.925614i | \(-0.623549\pi\) |
0.182037 | + | 0.983292i | \(0.441731\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 18.0598 | + | 5.30285i | 0.755781 | + | 0.221917i | 0.636853 | − | 0.770986i | \(-0.280236\pi\) |
0.118928 | + | 0.992903i | \(0.462054\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 1.09822 | − | 7.63830i | 0.0458789 | − | 0.319095i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 38.0450 | + | 10.4269i | 1.58659 | + | 0.434834i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.49109 | − | 24.2811i | 0.145336 | − | 1.01083i | −0.778390 | − | 0.627780i | \(-0.783964\pi\) |
0.923726 | − | 0.383053i | \(-0.125127\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 8.27400 | + | 2.42947i | 0.343856 | + | 0.100965i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −30.1610 | + | 8.85606i | −1.25129 | + | 0.367411i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.64079 | − | 10.1619i | 0.192202 | − | 0.420864i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −18.8138 | + | 12.0909i | −0.777855 | + | 0.499897i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 6.71629 | + | 46.7128i | 0.277211 | + | 1.92804i | 0.363122 | + | 0.931741i | \(0.381711\pi\) |
−0.0859115 | + | 0.996303i | \(0.527380\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 14.4307 | − | 16.6540i | 0.594608 | − | 0.686215i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 8.19376 | + | 5.26581i | 0.337046 | + | 0.216606i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.41916 | + | 7.40810i | 0.263603 | + | 0.304214i | 0.872086 | − | 0.489353i | \(-0.162767\pi\) |
−0.608483 | + | 0.793567i | \(0.708222\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.68368 | + | 19.0146i | 0.355996 | + | 0.779523i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 15.9329 | 0.652090 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −20.6101 | −0.842108 | −0.421054 | − | 0.907036i | \(-0.638340\pi\) | ||||
−0.421054 | + | 0.907036i | \(0.638340\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.93332 | + | 17.3716i | 0.323607 | + | 0.708601i | 0.999599 | − | 0.0283082i | \(-0.00901198\pi\) |
−0.675992 | + | 0.736909i | \(0.736285\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 2.88532 | + | 3.32984i | 0.117499 | + | 0.135602i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −10.7564 | − | 6.91269i | −0.437308 | − | 0.281041i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.24220 | + | 10.6661i | −0.375129 | + | 0.432922i | −0.911652 | − | 0.410964i | \(-0.865192\pi\) |
0.536522 | + | 0.843886i | \(0.319738\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −4.06401 | − | 28.2658i | −0.164682 | − | 1.14539i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 26.2558 | − | 16.8736i | 1.06220 | − | 0.682633i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 19.5194 | − | 42.7415i | 0.788381 | − | 1.72631i | 0.107153 | − | 0.994243i | \(-0.465827\pi\) |
0.681228 | − | 0.732071i | \(-0.261446\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −27.1375 | + | 7.96829i | −1.09429 | + | 0.321313i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 20.8751 | + | 6.12948i | 0.840400 | + | 0.246764i | 0.673479 | − | 0.739207i | \(-0.264799\pi\) |
0.166921 | + | 0.985970i | \(0.446617\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.53897 | − | 31.5692i | 0.182436 | − | 1.26887i | −0.668542 | − | 0.743674i | \(-0.733082\pi\) |
0.850979 | − | 0.525200i | \(-0.176009\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.91298 | + | 4.39778i | −0.0767653 | + | 0.176477i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.10013 | + | 42.4274i | −0.244397 | + | 1.69982i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.46901 | − | 0.431342i | −0.0587606 | − | 0.0172537i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 14.1380 | − | 4.15128i | 0.564615 | − | 0.165786i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −3.15136 | + | 6.90051i | −0.125653 | + | 0.275141i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.29849 | − | 3.40513i | 0.210929 | − | 0.135556i | −0.430911 | − | 0.902395i | \(-0.641808\pi\) |
0.641840 | + | 0.766838i | \(0.278171\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.736943 | − | 5.12555i | −0.0292909 | − | 0.203722i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −23.3176 | + | 26.9100i | −0.925332 | + | 1.06789i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −62.5539 | − | 40.2009i | −2.47847 | − | 1.59282i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 6.69835 | + | 7.73031i | 0.264983 | + | 0.305806i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −11.4982 | − | 25.1776i | −0.454153 | − | 0.994456i | −0.988781 | − | 0.149369i | \(-0.952276\pi\) |
0.534628 | − | 0.845087i | \(-0.320452\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −27.5964 | −1.08830 | −0.544148 | − | 0.838990i | \(-0.683147\pi\) | ||||
−0.544148 | + | 0.838990i | \(0.683147\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −34.2294 | −1.34778 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −0.127769 | − | 0.279774i | −0.00502310 | − | 0.0109991i | 0.907104 | − | 0.420907i | \(-0.138288\pi\) |
−0.912127 | + | 0.409908i | \(0.865561\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 6.18993 | + | 7.14356i | 0.242976 | + | 0.280409i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −15.0388 | − | 9.66486i | −0.589418 | − | 0.378796i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −11.3264 | + | 13.0713i | −0.443235 | + | 0.511520i | −0.932774 | − | 0.360461i | \(-0.882619\pi\) |
0.489540 | + | 0.871981i | \(0.337165\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.55594 | − | 17.7770i | −0.0998690 | − | 0.694604i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −5.46476 | + | 3.51199i | −0.213201 | + | 0.137016i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −6.75581 | + | 14.7932i | −0.263169 | + | 0.576259i | −0.994377 | − | 0.105895i | \(-0.966229\pi\) |
0.731208 | + | 0.682154i | \(0.238957\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.84350 | + | 2.89031i | −0.382868 | + | 0.112420i | −0.467502 | − | 0.883992i | \(-0.654846\pi\) |
0.0846344 | + | 0.996412i | \(0.473028\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −7.76213 | − | 2.27917i | −0.301456 | − | 0.0885155i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −12.1801 | + | 84.7144i | −0.472324 | + | 3.28508i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −5.02139 | − | 30.9386i | −0.194429 | − | 1.19795i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −1.84633 | + | 12.8415i | −0.0713834 | + | 0.496482i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 6.96807 | + | 2.04601i | 0.268999 | + | 0.0789853i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.2947 | − | 7.42720i | 0.975040 | − | 0.286298i | 0.244865 | − | 0.969557i | \(-0.421257\pi\) |
0.730175 | + | 0.683260i | \(0.239438\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 3.41698 | − | 7.48215i | 0.131520 | − | 0.287988i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 5.65459 | − | 3.63398i | 0.217324 | − | 0.139665i | −0.427450 | − | 0.904039i | \(-0.640588\pi\) |
0.644774 | + | 0.764374i | \(0.276952\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 1.52336 | + | 10.5952i | 0.0584611 | + | 0.406606i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 6.22485 | − | 7.18386i | 0.238537 | − | 0.275286i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23.4551 | − | 15.0737i | −0.897485 | − | 0.576779i | 0.00855822 | − | 0.999963i | \(-0.497276\pi\) |
−0.906043 | + | 0.423185i | \(0.860912\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 50.0912 | + | 57.8083i | 1.91388 | + | 2.20874i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 6.85343 | + | 15.0069i | 0.261475 | + | 0.572549i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −25.1121 | −0.956696 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 28.7827 | 1.09495 | 0.547474 | − | 0.836823i | \(-0.315590\pi\) | ||||
0.547474 | + | 0.836823i | \(0.315590\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −4.96562 | − | 10.8732i | −0.188628 | − | 0.413039i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 20.2974 | + | 23.4245i | 0.769925 | + | 0.888541i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −8.60686 | − | 5.53129i | −0.326008 | − | 0.209513i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −1.09864 | + | 1.26790i | −0.0415545 | + | 0.0479564i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6.65027 | − | 46.2537i | −0.251177 | − | 1.74698i | −0.591168 | − | 0.806548i | \(-0.701333\pi\) |
0.339991 | − | 0.940429i | \(-0.389576\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.1289 | + | 16.7920i | −0.985471 | + | 0.633323i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −7.66730 | + | 16.7890i | −0.288767 | + | 0.632312i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 68.9571 | − | 20.2476i | 2.59340 | − | 0.761490i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 17.0777 | + | 5.01448i | 0.641368 | + | 0.188323i | 0.586215 | − | 0.810155i | \(-0.300617\pi\) |
0.0551526 | + | 0.998478i | \(0.482435\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.480861 | − | 3.34446i | 0.0180337 | − | 0.125427i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −16.6958 | − | 10.3076i | −0.625264 | − | 0.386024i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 8.70704 | − | 60.5588i | 0.325625 | − | 2.26477i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −0.424580 | − | 0.124668i | −0.0158562 | − | 0.00465581i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 25.5241 | − | 7.49456i | 0.951889 | − | 0.279500i | 0.231316 | − | 0.972879i | \(-0.425697\pi\) |
0.720573 | + | 0.693379i | \(0.243879\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 9.34713 | − | 20.4674i | 0.348105 | − | 0.762244i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −24.4631 | + | 15.7215i | −0.909794 | + | 0.584689i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 7.65058 | + | 53.2109i | 0.284135 | + | 1.97620i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −17.1268 | + | 19.7654i | −0.635197 | + | 0.733056i | −0.978518 | − | 0.206162i | \(-0.933903\pi\) |
0.343321 | + | 0.939218i | \(0.388448\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0.841254 | + | 0.540641i | 0.0311575 | + | 0.0200237i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.10845 | − | 9.35765i | −0.299902 | − | 0.346105i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 6.45127 | + | 14.1263i | 0.238283 | + | 0.521767i | 0.990560 | − | 0.137080i | \(-0.0437717\pi\) |
−0.752277 | + | 0.658847i | \(0.771044\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 43.9733 | 1.62198 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −12.0536 | −0.443999 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.6210 | − | 32.0155i | −0.537841 | − | 1.17771i | −0.962233 | − | 0.272229i | \(-0.912239\pi\) |
0.424391 | − | 0.905479i | \(-0.360488\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −21.6904 | − | 25.0320i | −0.796816 | − | 0.919574i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −44.9800 | − | 28.9069i | −1.65016 | − | 1.06049i | −0.930589 | − | 0.366067i | \(-0.880704\pi\) |
−0.719567 | − | 0.694423i | \(-0.755660\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 6.97220 | − | 8.04635i | 0.255442 | − | 0.294795i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 1.02384 | + | 7.12098i | 0.0374604 | + | 0.260543i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 33.3911 | − | 21.4591i | 1.22008 | − | 0.784100i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.7032 | + | 30.0058i | −0.500036 | + | 1.09493i | 0.476422 | + | 0.879217i | \(0.341933\pi\) |
−0.976458 | + | 0.215709i | \(0.930794\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −7.39453 | + | 2.17123i | −0.269472 | + | 0.0791240i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −61.8285 | − | 18.1545i | −2.25017 | − | 0.660710i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.16104 | + | 28.9407i | −0.151236 | + | 1.05187i | 0.762917 | + | 0.646497i | \(0.223767\pi\) |
−0.914152 | + | 0.405371i | \(0.867143\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −5.66535 | − | 11.8338i | −0.205639 | − | 0.429540i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −5.92298 | + | 41.1953i | −0.214708 | + | 1.49333i | 0.542446 | + | 0.840091i | \(0.317498\pi\) |
−0.757154 | + | 0.653236i | \(0.773411\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −13.2385 | − | 3.88718i | −0.479266 | − | 0.140725i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 4.59031 | − | 1.34784i | 0.165963 | − | 0.0487312i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 8.82658 | − | 19.3275i | 0.318709 | − | 0.697876i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 32.5329 | − | 20.9076i | 1.17317 | − | 0.753949i | 0.199050 | − | 0.979989i | \(-0.436215\pi\) |
0.974118 | + | 0.226040i | \(0.0725782\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.84792 | − | 19.8077i | −0.102565 | − | 0.713357i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 32.7885 | − | 37.8399i | 1.17932 | − | 1.36101i | 0.260916 | − | 0.965362i | \(-0.415975\pi\) |
0.918403 | − | 0.395645i | \(-0.129479\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 28.3109 | + | 18.1943i | 1.01696 | + | 0.653559i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 16.5002 | + | 19.0423i | 0.591943 | + | 0.683139i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −17.4012 | − | 38.1033i | −0.623462 | − | 1.36519i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.9827 | −1.00130 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −6.53557 | −0.233562 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.7189 | − | 23.4710i | −0.382572 | − | 0.837717i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.1767 | − | 25.5932i | −0.790513 | − | 0.912300i | 0.207309 | − | 0.978276i | \(-0.433530\pi\) |
−0.997821 | + | 0.0659755i | \(0.978984\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 10.8503 | + | 6.97308i | 0.386282 | + | 0.248248i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −39.2933 | + | 45.3468i | −1.39711 | + | 1.61235i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −2.32324 | − | 16.1585i | −0.0825007 | − | 0.573805i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 12.4932 | − | 8.02886i | 0.443086 | − | 0.284754i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 21.5854 | − | 47.2654i | 0.764593 | − | 1.67423i | 0.0263863 | − | 0.999652i | \(-0.491600\pi\) |
0.738207 | − | 0.674574i | \(-0.235673\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −6.40607 | + | 1.88099i | −0.226630 | + | 0.0665447i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 9.41261 | + | 2.76379i | 0.332578 | + | 0.0976538i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 2.52909 | − | 17.5902i | 0.0892498 | − | 0.620746i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 76.1937 | − | 1.37918i | 2.68548 | − | 0.0486098i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −2.18718 | + | 15.2121i | −0.0769922 | + | 0.535493i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 29.3559 | + | 8.61968i | 1.03210 | + | 0.303052i | 0.753564 | − | 0.657374i | \(-0.228333\pi\) |
0.278535 | + | 0.960426i | \(0.410151\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −11.8106 | + | 3.46792i | −0.414728 | + | 0.121775i | −0.482438 | − | 0.875930i | \(-0.660249\pi\) |
0.0677105 | + | 0.997705i | \(0.478431\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.38945 | + | 18.3703i | −0.294231 | + | 0.644276i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 2.58120 | − | 1.65884i | 0.0904156 | − | 0.0581066i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −7.21469 | − | 50.1793i | −0.252410 | − | 1.75555i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | −17.5960 | + | 20.3069i | −0.614854 | + | 0.709579i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −39.5695 | − | 25.4298i | −1.38098 | − | 0.887505i | −0.381662 | − | 0.924302i | \(-0.624648\pi\) |
−0.999323 | + | 0.0367970i | \(0.988285\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 28.4959 | + | 32.8860i | 0.993305 | + | 1.14634i | 0.989234 | + | 0.146344i | \(0.0467505\pi\) |
0.00407150 | + | 0.999992i | \(0.498704\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 9.34789 | + | 20.4690i | 0.325452 | + | 0.712640i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −11.4035 | −0.396539 | −0.198270 | − | 0.980148i | \(-0.563532\pi\) | ||||
−0.198270 | + | 0.980148i | \(0.563532\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −30.0821 | −1.04479 | −0.522397 | − | 0.852702i | \(-0.674962\pi\) | ||||
−0.522397 | + | 0.852702i | \(0.674962\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 9.47142 | + | 20.7395i | 0.328560 | + | 0.719446i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 10.4166 | + | 12.0214i | 0.360915 | + | 0.416518i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −58.3311 | − | 37.4871i | −2.01863 | − | 1.29730i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −2.67926 | + | 3.09203i | −0.0926087 | + | 0.106876i | ||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −0.486324 | − | 3.38246i | −0.0167898 | − | 0.116776i | 0.979703 | − | 0.200455i | \(-0.0642420\pi\) |
−0.996493 | + | 0.0836793i | \(0.973333\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 11.5366 | − | 7.41414i | 0.397815 | − | 0.255660i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 6.18763 | − | 13.5490i | 0.213113 | − | 0.466653i | ||||
\(844\) | 0 | 0 | ||||||||
\(845\) | −86.5961 | + | 25.4269i | −2.97900 | + | 0.874713i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −14.7399 | − | 4.32803i | −0.506470 | − | 0.148713i | ||||
\(848\) | 0 | 0 | ||||||||
\(849\) | −0.0897223 | + | 0.624032i | −0.00307926 | + | 0.0214167i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 18.4859 | + | 20.5696i | 0.633689 | + | 0.705116i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.54820 | − | 52.4989i | 0.258446 | − | 1.79753i | −0.285469 | − | 0.958388i | \(-0.592149\pi\) |
0.543915 | − | 0.839141i | \(-0.316942\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 18.7941 | + | 5.51844i | 0.642744 | + | 0.188727i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 17.6208 | − | 5.17393i | 0.601914 | − | 0.176738i | 0.0334423 | − | 0.999441i | \(-0.489353\pi\) |
0.568472 | + | 0.822703i | \(0.307535\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −5.63587 | + | 12.3408i | −0.192293 | + | 0.421064i | −0.981080 | − | 0.193603i | \(-0.937982\pi\) |
0.788786 | + | 0.614667i | \(0.210710\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −28.5871 | + | 18.3718i | −0.974247 | + | 0.626110i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | 0.550499 | + | 3.82881i | 0.0187392 | + | 0.130334i | 0.997044 | − | 0.0768390i | \(-0.0244827\pi\) |
−0.978304 | + | 0.207173i | \(0.933574\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 36.7523 | − | 42.4145i | 1.24962 | − | 1.44213i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | −12.8455 | − | 8.25528i | −0.436255 | − | 0.280364i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 6.05326 | + | 6.98583i | 0.205343 | + | 0.236978i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.2557 | + | 24.6465i | 0.381384 | + | 0.835115i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 2.44980 | 0.0829132 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −51.2531 | −1.73267 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −13.2105 | − | 28.9270i | −0.446087 | − | 0.976795i | −0.990441 | − | 0.137939i | \(-0.955952\pi\) |
0.544353 | − | 0.838856i | \(-0.316775\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −8.51783 | − | 9.83010i | −0.287299 | − | 0.331561i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 27.7363 | + | 17.8251i | 0.934460 | + | 0.600541i | 0.916819 | − | 0.399303i | \(-0.130748\pi\) |
0.0176415 | + | 0.999844i | \(0.494384\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 30.6124 | − | 35.3286i | 1.03019 | − | 1.18890i | 0.0484214 | − | 0.998827i | \(-0.484581\pi\) |
0.981769 | − | 0.190076i | \(-0.0608736\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 1.78822 | + | 12.4374i | 0.0601105 | + | 0.418078i | ||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 34.6122 | − | 22.2439i | 1.16217 | − | 0.746878i | 0.190141 | − | 0.981757i | \(-0.439106\pi\) |
0.972025 | + | 0.234878i | \(0.0754692\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −17.7719 | + | 38.9150i | −0.596050 | + | 1.30517i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −2.62490 | + | 0.770740i | −0.0879374 | + | 0.0258208i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −26.2283 | − | 7.70133i | −0.877697 | − | 0.257715i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.29155 | − | 43.7587i | 0.210303 | − | 1.46269i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −18.9068 | + | 22.6346i | −0.631279 | + | 0.755749i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | 3.80539 | − | 26.4671i | 0.126917 | − | 0.882726i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 5.15438 | + | 1.51346i | 0.171717 | + | 0.0504207i | ||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −39.4599 | + | 11.5865i | −1.31314 | + | 0.385574i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −11.2579 | + | 24.6513i | −0.374224 | + | 0.819435i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 44.8993 | − | 28.8550i | 1.49086 | − | 0.958116i | 0.494837 | − | 0.868986i | \(-0.335228\pi\) |
0.996020 | − | 0.0891297i | \(-0.0284086\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.34081 | − | 16.2807i | −0.0776398 | − | 0.539997i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −21.7032 | + | 25.0468i | −0.719059 | + | 0.829838i | −0.991194 | − | 0.132421i | \(-0.957725\pi\) |
0.272135 | + | 0.962259i | \(0.412270\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −16.5570 | − | 10.6405i | −0.547955 | − | 0.352149i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 6.32200 | + | 7.29597i | 0.208999 | + | 0.241197i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | −8.96394 | − | 19.6283i | −0.296015 | − | 0.648183i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −21.2533 | −0.701080 | −0.350540 | − | 0.936548i | \(-0.614002\pi\) | ||||
−0.350540 | + | 0.936548i | \(0.614002\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −10.4705 | −0.345014 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 26.1303 | + | 57.2175i | 0.860091 | + | 1.88334i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −31.0621 | − | 35.8475i | −1.02131 | − | 1.17866i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −4.33213 | − | 2.78409i | −0.142286 | − | 0.0914416i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 7.03100 | − | 8.11420i | 0.230680 | − | 0.266218i | −0.628595 | − | 0.777733i | \(-0.716370\pi\) |
0.859275 | + | 0.511514i | \(0.170915\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 9.26845 | + | 64.4635i | 0.303761 | + | 2.11271i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 5.52391 | − | 3.55000i | 0.180845 | − | 0.116222i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −5.43693 | + | 11.9052i | −0.177807 | + | 0.389342i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 36.5131 | − | 10.7212i | 1.19283 | − | 0.350247i | 0.375723 | − | 0.926732i | \(-0.377394\pi\) |
0.817107 | + | 0.576485i | \(0.195576\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.86983 | + | 2.60442i | 0.289456 | + | 0.0849919i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −4.08777 | + | 28.4310i | −0.133257 | + | 0.926826i | 0.808011 | + | 0.589167i | \(0.200544\pi\) |
−0.941269 | + | 0.337659i | \(0.890365\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −31.0071 | + | 20.7294i | −1.00973 | + | 0.675043i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 2.26140 | − | 15.7284i | 0.0735632 | − | 0.511644i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 20.4458 | + | 6.00342i | 0.664398 | + | 0.195085i | 0.596507 | − | 0.802608i | \(-0.296555\pi\) |
0.0678910 | + | 0.997693i | \(0.478373\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −38.3292 | + | 11.2545i | −1.24422 | + | 0.365336i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 10.9105 | − | 23.8906i | 0.353797 | − | 0.774707i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 39.3009 | − | 25.2571i | 1.27308 | − | 0.818159i | 0.283062 | − | 0.959102i | \(-0.408650\pi\) |
0.990018 | + | 0.140943i | \(0.0450133\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.99389 | + | 27.7781i | 0.129239 | + | 0.898878i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 11.7085 | − | 13.5124i | 0.378483 | − | 0.436793i | ||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 77.3133 | + | 49.6863i | 2.49658 | + | 1.60445i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.33892 | + | 10.7777i | 0.301256 | + | 0.347667i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | −3.77368 | − | 8.26320i | −0.121605 | − | 0.266278i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −31.3603 | −1.00952 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −16.9438 | −0.544875 | −0.272438 | − | 0.962173i | \(-0.587830\pi\) | ||||
−0.272438 | + | 0.962173i | \(0.587830\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 2.94341 | + | 6.44518i | 0.0945561 | + | 0.207049i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −19.1199 | − | 22.0656i | −0.613587 | − | 0.708117i | 0.360889 | − | 0.932609i | \(-0.382473\pi\) |
−0.974476 | + | 0.224491i | \(0.927928\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 31.3281 | + | 20.1334i | 1.00433 | + | 0.645446i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 33.1248 | − | 38.2281i | 1.06084 | − | 1.22428i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −1.97603 | − | 13.7436i | −0.0632188 | − | 0.439697i | −0.996707 | − | 0.0810883i | \(-0.974160\pi\) |
0.933488 | − | 0.358608i | \(-0.116749\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −22.5770 | + | 14.5093i | −0.721563 | + | 0.463721i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −1.31177 | + | 2.87238i | −0.0418817 | + | 0.0917081i | ||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −2.52062 | + | 0.740122i | −0.0803954 | + | 0.0236062i | −0.321683 | − | 0.946847i | \(-0.604249\pi\) |
0.241287 | + | 0.970454i | \(0.422430\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −33.9863 | − | 9.97927i | −1.08289 | − | 0.317966i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −3.15592 | + | 21.9499i | −0.100454 | + | 0.698673i | ||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −43.0739 | + | 13.4991i | −1.36967 | + | 0.429245i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 3.85140 | − | 26.7871i | 0.122344 | − | 0.850920i | −0.832545 | − | 0.553957i | \(-0.813117\pi\) |
0.954889 | − | 0.296963i | \(-0.0959737\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 12.6791 | + | 3.72293i | 0.402360 | + | 0.118144i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −55.5958 | + | 16.3244i | −1.76250 | + | 0.517518i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 18.1844 | − | 39.8182i | 0.575905 | − | 1.26106i | −0.367689 | − | 0.929949i | \(-0.619851\pi\) |
0.943593 | − | 0.331106i | \(-0.107422\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 4.85118 | − | 3.11766i | 0.153485 | − | 0.0986385i |
(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 | 276.2.i.a.169.1 | yes | 20 | |
3.2 | odd | 2 | 828.2.q.c.721.2 | 20 | |||
23.3 | even | 11 | inner | 276.2.i.a.49.1 | ✓ | 20 | |
23.7 | odd | 22 | 6348.2.a.t.1.1 | 10 | |||
23.16 | even | 11 | 6348.2.a.s.1.10 | 10 | |||
69.26 | odd | 22 | 828.2.q.c.325.2 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.i.a.49.1 | ✓ | 20 | 23.3 | even | 11 | inner | |
276.2.i.a.169.1 | yes | 20 | 1.1 | even | 1 | trivial | |
828.2.q.c.325.2 | 20 | 69.26 | odd | 22 | |||
828.2.q.c.721.2 | 20 | 3.2 | odd | 2 | |||
6348.2.a.s.1.10 | 10 | 23.16 | even | 11 | |||
6348.2.a.t.1.1 | 10 | 23.7 | odd | 22 |