Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(4,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([5, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.bs (of order \(30\), degree \(8\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 101.19 | ||
Character | \(\chi\) | \(=\) | 403.101 |
Dual form | 403.2.bs.a.4.19 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.00797121 | + | 0.0375016i | 0.00563650 | + | 0.0265176i | 0.980876 | − | 0.194634i | \(-0.0623518\pi\) |
−0.975239 | + | 0.221151i | \(0.929019\pi\) | |||||||
\(3\) | −0.129846 | + | 0.144209i | −0.0749666 | + | 0.0832589i | −0.779461 | − | 0.626450i | \(-0.784507\pi\) |
0.704495 | + | 0.709709i | \(0.251174\pi\) | |||||||
\(4\) | 1.82575 | − | 0.812875i | 0.912874 | − | 0.406438i | ||||
\(5\) | − | 2.93327i | − | 1.31180i | −0.754849 | − | 0.655899i | \(-0.772290\pi\) | ||
0.754849 | − | 0.655899i | \(-0.227710\pi\) | |||||||
\(6\) | −0.00644308 | − | 0.00371992i | −0.00263038 | − | 0.00151865i | ||||
\(7\) | 1.61684 | + | 3.63149i | 0.611110 | + | 1.37258i | 0.908526 | + | 0.417827i | \(0.137208\pi\) |
−0.297417 | + | 0.954748i | \(0.596125\pi\) | |||||||
\(8\) | 0.0901082 | + | 0.124023i | 0.0318581 | + | 0.0438489i | ||||
\(9\) | 0.309649 | + | 2.94612i | 0.103216 | + | 0.982039i | ||||
\(10\) | 0.110002 | − | 0.0233817i | 0.0347858 | − | 0.00739394i | ||||
\(11\) | −1.27640 | − | 0.134155i | −0.384848 | − | 0.0404491i | −0.0898707 | − | 0.995953i | \(-0.528645\pi\) |
−0.294977 | + | 0.955504i | \(0.595312\pi\) | |||||||
\(12\) | −0.119842 | + | 0.368837i | −0.0345955 | + | 0.106474i | ||||
\(13\) | 3.52450 | + | 0.760192i | 0.977521 | + | 0.210839i | ||||
\(14\) | −0.123299 | + | 0.0895816i | −0.0329529 | + | 0.0239417i | ||||
\(15\) | 0.423003 | + | 0.380873i | 0.109219 | + | 0.0983411i | ||||
\(16\) | 2.67062 | − | 2.96603i | 0.667656 | − | 0.741507i | ||||
\(17\) | −0.327006 | − | 3.11125i | −0.0793105 | − | 0.754589i | −0.959831 | − | 0.280580i | \(-0.909473\pi\) |
0.880520 | − | 0.474009i | \(-0.157194\pi\) | |||||||
\(18\) | −0.108016 | + | 0.0350964i | −0.0254596 | + | 0.00827231i | ||||
\(19\) | 3.62303 | − | 3.26219i | 0.831179 | − | 0.748397i | −0.139128 | − | 0.990274i | \(-0.544430\pi\) |
0.970307 | + | 0.241878i | \(0.0777632\pi\) | |||||||
\(20\) | −2.38438 | − | 5.35541i | −0.533164 | − | 1.19751i | ||||
\(21\) | −0.733633 | − | 0.238372i | −0.160092 | − | 0.0520170i | ||||
\(22\) | −0.00514341 | − | 0.0489363i | −0.00109658 | − | 0.0104332i | ||||
\(23\) | −7.33294 | − | 3.26484i | −1.52902 | − | 0.680765i | −0.541859 | − | 0.840469i | \(-0.682279\pi\) |
−0.987165 | + | 0.159704i | \(0.948946\pi\) | |||||||
\(24\) | −0.0295854 | − | 0.00310955i | −0.00603910 | − | 0.000634735i | ||||
\(25\) | −3.60407 | −0.720813 | ||||||||
\(26\) | −0.000413877 | 0.138234i | −8.11679e−5 | 0.0271099i | ||||||
\(27\) | −0.936036 | − | 0.680070i | −0.180140 | − | 0.130879i | ||||
\(28\) | 5.90390 | + | 5.31590i | 1.11573 | + | 1.00461i | ||||
\(29\) | 3.24645 | − | 0.690055i | 0.602851 | − | 0.128140i | 0.103632 | − | 0.994616i | \(-0.466954\pi\) |
0.499219 | + | 0.866476i | \(0.333620\pi\) | |||||||
\(30\) | −0.0109115 | + | 0.0188993i | −0.00199216 | + | 0.00345052i | ||||
\(31\) | −4.13195 | + | 3.73189i | −0.742120 | + | 0.670267i | ||||
\(32\) | 0.398044 | + | 0.229811i | 0.0703650 | + | 0.0406252i | ||||
\(33\) | 0.185081 | − | 0.166648i | 0.0322185 | − | 0.0290097i | ||||
\(34\) | 0.114070 | − | 0.0370637i | 0.0195629 | − | 0.00635637i | ||||
\(35\) | 10.6521 | − | 4.74264i | 1.80054 | − | 0.801652i | ||||
\(36\) | 2.96017 | + | 5.12716i | 0.493361 | + | 0.854527i | ||||
\(37\) | 4.50325 | − | 2.59995i | 0.740329 | − | 0.427429i | −0.0818597 | − | 0.996644i | \(-0.526086\pi\) |
0.822189 | + | 0.569215i | \(0.192753\pi\) | |||||||
\(38\) | 0.151217 | + | 0.109866i | 0.0245307 | + | 0.0178226i | ||||
\(39\) | −0.567269 | + | 0.409555i | −0.0908357 | + | 0.0655814i | ||||
\(40\) | 0.363794 | − | 0.264312i | 0.0575208 | − | 0.0417913i | ||||
\(41\) | 2.46638 | + | 11.6034i | 0.385184 | + | 1.81215i | 0.561104 | + | 0.827746i | \(0.310377\pi\) |
−0.175919 | + | 0.984405i | \(0.556290\pi\) | |||||||
\(42\) | 0.00309138 | − | 0.0294125i | 0.000477011 | − | 0.00453845i | ||||
\(43\) | −6.24964 | − | 6.94092i | −0.953060 | − | 1.05848i | −0.998228 | − | 0.0595014i | \(-0.981049\pi\) |
0.0451678 | − | 0.998979i | \(-0.485618\pi\) | |||||||
\(44\) | −2.43943 | + | 0.792619i | −0.367758 | + | 0.119492i | ||||
\(45\) | 8.64175 | − | 0.908284i | 1.28824 | − | 0.135399i | ||||
\(46\) | 0.0639841 | − | 0.301022i | 0.00943395 | − | 0.0443832i | ||||
\(47\) | −10.1143 | + | 3.28634i | −1.47532 | + | 0.479361i | −0.932712 | − | 0.360623i | \(-0.882564\pi\) |
−0.542611 | + | 0.839984i | \(0.682564\pi\) | |||||||
\(48\) | 0.0809569 | + | 0.770254i | 0.0116851 | + | 0.111177i | ||||
\(49\) | −5.88964 | + | 6.54110i | −0.841377 | + | 0.934443i | ||||
\(50\) | −0.0287288 | − | 0.135158i | −0.00406286 | − | 0.0191143i | ||||
\(51\) | 0.491130 | + | 0.356827i | 0.0687719 | + | 0.0499657i | ||||
\(52\) | 7.05279 | − | 1.47706i | 0.978046 | − | 0.204832i | ||||
\(53\) | 0.0863699 | − | 0.0627514i | 0.0118638 | − | 0.00861957i | −0.581838 | − | 0.813305i | \(-0.697666\pi\) |
0.593701 | + | 0.804685i | \(0.297666\pi\) | |||||||
\(54\) | 0.0180424 | − | 0.0405238i | 0.00245525 | − | 0.00551459i | ||||
\(55\) | −0.393512 | + | 3.74401i | −0.0530611 | + | 0.504843i | ||||
\(56\) | −0.304699 | + | 0.527754i | −0.0407171 | + | 0.0705241i | ||||
\(57\) | 0.946053i | 0.125308i | ||||||||
\(58\) | 0.0517563 | + | 0.116247i | 0.00679594 | + | 0.0152639i | ||||
\(59\) | −1.02717 | + | 4.83246i | −0.133726 | + | 0.629132i | 0.859323 | + | 0.511433i | \(0.170885\pi\) |
−0.993049 | + | 0.117699i | \(0.962448\pi\) | |||||||
\(60\) | 1.08190 | + | 0.351530i | 0.139673 | + | 0.0453824i | ||||
\(61\) | −2.04422 | + | 3.54069i | −0.261736 | + | 0.453340i | −0.966703 | − | 0.255900i | \(-0.917628\pi\) |
0.704968 | + | 0.709240i | \(0.250962\pi\) | |||||||
\(62\) | −0.172888 | − | 0.125207i | −0.0219568 | − | 0.0159013i | ||||
\(63\) | −10.1981 | + | 5.88790i | −1.28485 | + | 0.741806i | ||||
\(64\) | 2.46124 | − | 7.57492i | 0.307655 | − | 0.946865i | ||||
\(65\) | 2.22985 | − | 10.3383i | 0.276579 | − | 1.28231i | ||||
\(66\) | 0.00772488 | + | 0.00561246i | 0.000950867 | + | 0.000690846i | ||||
\(67\) | −8.11901 | + | 4.68751i | −0.991895 | + | 0.572671i | −0.905840 | − | 0.423619i | \(-0.860759\pi\) |
−0.0860551 | + | 0.996290i | \(0.527426\pi\) | |||||||
\(68\) | −3.12609 | − | 5.41455i | −0.379094 | − | 0.656610i | ||||
\(69\) | 1.42297 | − | 0.633547i | 0.171306 | − | 0.0762701i | ||||
\(70\) | 0.262767 | + | 0.361668i | 0.0314067 | + | 0.0432276i | ||||
\(71\) | −1.75797 | + | 0.184770i | −0.208633 | + | 0.0219282i | −0.208268 | − | 0.978072i | \(-0.566783\pi\) |
−0.000364452 | 1.00000i | \(0.500116\pi\) | ||||||||
\(72\) | −0.337485 | + | 0.303873i | −0.0397730 | + | 0.0358118i | ||||
\(73\) | 1.60574 | − | 2.21011i | 0.187938 | − | 0.258674i | −0.704643 | − | 0.709562i | \(-0.748893\pi\) |
0.892580 | + | 0.450888i | \(0.148893\pi\) | |||||||
\(74\) | 0.133399 | + | 0.148154i | 0.0155073 | + | 0.0172226i | ||||
\(75\) | 0.467974 | − | 0.519737i | 0.0540369 | − | 0.0600141i | ||||
\(76\) | 3.96298 | − | 8.90100i | 0.454585 | − | 1.02101i | ||||
\(77\) | −1.57655 | − | 4.85213i | −0.179665 | − | 0.552952i | ||||
\(78\) | −0.0198808 | − | 0.0180088i | −0.00225106 | − | 0.00203910i | ||||
\(79\) | 4.66780 | − | 3.39135i | 0.525168 | − | 0.381557i | −0.293379 | − | 0.955996i | \(-0.594780\pi\) |
0.818547 | + | 0.574439i | \(0.194780\pi\) | |||||||
\(80\) | −8.70015 | − | 7.83365i | −0.972707 | − | 0.875829i | ||||
\(81\) | −8.47322 | + | 1.80104i | −0.941468 | + | 0.200115i | ||||
\(82\) | −0.415487 | + | 0.184987i | −0.0458828 | + | 0.0204284i | ||||
\(83\) | 0.400091 | + | 0.129997i | 0.0439156 | + | 0.0142691i | 0.330892 | − | 0.943668i | \(-0.392650\pi\) |
−0.286977 | + | 0.957938i | \(0.592650\pi\) | |||||||
\(84\) | −1.53320 | + | 0.161145i | −0.167285 | + | 0.0175824i | ||||
\(85\) | −9.12613 | + | 0.959195i | −0.989868 | + | 0.104039i | ||||
\(86\) | 0.210479 | − | 0.289699i | 0.0226965 | − | 0.0312390i | ||||
\(87\) | −0.322027 | + | 0.557767i | −0.0345249 | + | 0.0597989i | ||||
\(88\) | −0.0983755 | − | 0.170391i | −0.0104869 | − | 0.0181638i | ||||
\(89\) | 0.340199 | + | 0.0357563i | 0.0360610 | + | 0.00379016i | 0.122542 | − | 0.992463i | \(-0.460895\pi\) |
−0.0864808 | + | 0.996254i | \(0.527562\pi\) | |||||||
\(90\) | 0.102947 | + | 0.316839i | 0.0108516 | + | 0.0333978i | ||||
\(91\) | 2.93794 | + | 14.0283i | 0.307980 | + | 1.47057i | ||||
\(92\) | −16.0420 | −1.67250 | ||||||||
\(93\) | −0.00165301 | − | 1.08043i | −0.000171409 | − | 0.112036i | ||||
\(94\) | −0.203866 | − | 0.353106i | −0.0210272 | − | 0.0364201i | ||||
\(95\) | −9.56887 | − | 10.6273i | −0.981745 | − | 1.09034i | ||||
\(96\) | −0.0848252 | + | 0.0275614i | −0.00865744 | + | 0.00281297i | ||||
\(97\) | 0.696924 | + | 1.56532i | 0.0707619 | + | 0.158934i | 0.945464 | − | 0.325728i | \(-0.105609\pi\) |
−0.874702 | + | 0.484662i | \(0.838943\pi\) | |||||||
\(98\) | −0.292249 | − | 0.168730i | −0.0295216 | − | 0.0170443i | ||||
\(99\) | − | 3.80195i | − | 0.382111i | ||||||
\(100\) | −6.58012 | + | 2.92966i | −0.658012 | + | 0.292966i | ||||
\(101\) | 13.7094 | + | 6.10384i | 1.36414 | + | 0.607354i | 0.952653 | − | 0.304061i | \(-0.0983426\pi\) |
0.411488 | + | 0.911415i | \(0.365009\pi\) | |||||||
\(102\) | −0.00946667 | + | 0.0212625i | −0.000937340 | + | 0.00210530i | ||||
\(103\) | 0.558464 | − | 1.71877i | 0.0550270 | − | 0.169356i | −0.919766 | − | 0.392468i | \(-0.871621\pi\) |
0.974793 | + | 0.223112i | \(0.0716215\pi\) | |||||||
\(104\) | 0.223305 | + | 0.505620i | 0.0218969 | + | 0.0495801i | ||||
\(105\) | −0.699209 | + | 2.15194i | −0.0682358 | + | 0.210008i | ||||
\(106\) | 0.00304175 | + | 0.00273880i | 0.000295441 | + | 0.000266016i | ||||
\(107\) | 5.00742 | + | 2.22945i | 0.484085 | + | 0.215529i | 0.634244 | − | 0.773133i | \(-0.281312\pi\) |
−0.150158 | + | 0.988662i | \(0.547978\pi\) | |||||||
\(108\) | −2.26178 | − | 0.480756i | −0.217640 | − | 0.0462607i | ||||
\(109\) | −16.3021 | + | 5.29688i | −1.56146 | + | 0.507349i | −0.957197 | − | 0.289436i | \(-0.906532\pi\) |
−0.604263 | + | 0.796785i | \(0.706532\pi\) | |||||||
\(110\) | −0.143543 | + | 0.0150870i | −0.0136863 | + | 0.00143849i | ||||
\(111\) | −0.209793 | + | 0.987000i | −0.0199127 | + | 0.0936819i | ||||
\(112\) | 15.0891 | + | 4.90274i | 1.42578 | + | 0.463265i | ||||
\(113\) | 3.88060 | − | 1.72776i | 0.365056 | − | 0.162534i | −0.216007 | − | 0.976392i | \(-0.569303\pi\) |
0.581063 | + | 0.813858i | \(0.302637\pi\) | |||||||
\(114\) | −0.0354785 | + | 0.00754119i | −0.00332287 | + | 0.000706297i | ||||
\(115\) | −9.57664 | + | 21.5095i | −0.893026 | + | 2.00577i | ||||
\(116\) | 5.36628 | − | 3.89883i | 0.498246 | − | 0.361997i | ||||
\(117\) | −1.14825 | + | 10.6190i | −0.106156 | + | 0.981725i | ||||
\(118\) | −0.189413 | −0.0174368 | ||||||||
\(119\) | 10.7698 | − | 6.21793i | 0.987263 | − | 0.569996i | ||||
\(120\) | −0.00912116 | + | 0.0867820i | −0.000832644 | + | 0.00792208i | ||||
\(121\) | −9.14843 | − | 1.94456i | −0.831676 | − | 0.176778i | ||||
\(122\) | −0.149077 | − | 0.0484379i | −0.0134968 | − | 0.00438536i | ||||
\(123\) | −1.99356 | − | 1.15098i | −0.179754 | − | 0.103781i | ||||
\(124\) | −4.51034 | + | 10.1722i | −0.405041 | + | 0.913495i | ||||
\(125\) | − | 4.09465i | − | 0.366237i | ||||||
\(126\) | −0.302097 | − | 0.335513i | −0.0269130 | − | 0.0298899i | ||||
\(127\) | −9.30307 | + | 10.3321i | −0.825514 | + | 0.916827i | −0.997669 | − | 0.0682435i | \(-0.978261\pi\) |
0.172154 | + | 0.985070i | \(0.444927\pi\) | |||||||
\(128\) | 1.21790 | + | 0.128006i | 0.107648 | + | 0.0113143i | ||||
\(129\) | 1.81243 | 0.159576 | ||||||||
\(130\) | 0.405478 | + | 0.00121401i | 0.0355627 | + | 0.000106476i | ||||
\(131\) | −5.19506 | − | 3.77443i | −0.453894 | − | 0.329773i | 0.337237 | − | 0.941420i | \(-0.390508\pi\) |
−0.791131 | + | 0.611646i | \(0.790508\pi\) | |||||||
\(132\) | 0.202448 | − | 0.454705i | 0.0176208 | − | 0.0395770i | ||||
\(133\) | 17.7045 | + | 7.88254i | 1.53517 | + | 0.683503i | ||||
\(134\) | −0.240508 | − | 0.267111i | −0.0207767 | − | 0.0230749i | ||||
\(135\) | −1.99483 | + | 2.74564i | −0.171687 | + | 0.236307i | ||||
\(136\) | 0.356402 | − | 0.320906i | 0.0305612 | − | 0.0275174i | ||||
\(137\) | −1.98135 | + | 9.32152i | −0.169278 | + | 0.796391i | 0.808789 | + | 0.588099i | \(0.200124\pi\) |
−0.978067 | + | 0.208292i | \(0.933210\pi\) | |||||||
\(138\) | 0.0351018 | + | 0.0483135i | 0.00298807 | + | 0.00411272i | ||||
\(139\) | −15.2697 | − | 3.24567i | −1.29516 | − | 0.275294i | −0.491756 | − | 0.870733i | \(-0.663645\pi\) |
−0.803401 | + | 0.595439i | \(0.796978\pi\) | |||||||
\(140\) | 15.5930 | − | 17.3177i | 1.31785 | − | 1.46362i | ||||
\(141\) | 0.839384 | − | 1.88529i | 0.0706889 | − | 0.158770i | ||||
\(142\) | −0.0209423 | − | 0.0644538i | −0.00175744 | − | 0.00540884i | ||||
\(143\) | −4.39668 | − | 1.44313i | −0.367669 | − | 0.120681i | ||||
\(144\) | 9.56521 | + | 6.94954i | 0.797101 | + | 0.579128i | ||||
\(145\) | −2.02412 | − | 9.52272i | −0.168094 | − | 0.790819i | ||||
\(146\) | 0.0956824 | + | 0.0426006i | 0.00791873 | + | 0.00352565i | ||||
\(147\) | −0.178538 | − | 1.69867i | −0.0147255 | − | 0.140104i | ||||
\(148\) | 6.10836 | − | 8.40743i | 0.502104 | − | 0.691087i | ||||
\(149\) | 7.28183 | + | 4.20416i | 0.596550 | + | 0.344419i | 0.767683 | − | 0.640829i | \(-0.221409\pi\) |
−0.171133 | + | 0.985248i | \(0.554743\pi\) | |||||||
\(150\) | 0.0232213 | + | 0.0134068i | 0.00189601 | + | 0.00109466i | ||||
\(151\) | 14.1053 | − | 19.4142i | 1.14787 | − | 1.57991i | 0.399346 | − | 0.916800i | \(-0.369237\pi\) |
0.748524 | − | 0.663108i | \(-0.230763\pi\) | |||||||
\(152\) | 0.731052 | + | 0.155390i | 0.0592961 | + | 0.0126038i | ||||
\(153\) | 9.06485 | − | 1.92679i | 0.732850 | − | 0.155772i | ||||
\(154\) | 0.169396 | − | 0.0978006i | 0.0136503 | − | 0.00788100i | ||||
\(155\) | 10.9466 | + | 12.1201i | 0.879254 | + | 0.973512i | ||||
\(156\) | −0.702772 | + | 1.20886i | −0.0562668 | + | 0.0967866i | ||||
\(157\) | 3.46234 | − | 10.6560i | 0.276325 | − | 0.850441i | −0.712541 | − | 0.701631i | \(-0.752456\pi\) |
0.988866 | − | 0.148810i | \(-0.0475443\pi\) | |||||||
\(158\) | 0.164389 | + | 0.148017i | 0.0130781 | + | 0.0117756i | ||||
\(159\) | −0.00216549 | + | 0.0206033i | −0.000171735 | + | 0.00163395i | ||||
\(160\) | 0.674098 | − | 1.16757i | 0.0532921 | − | 0.0923046i | ||||
\(161\) | − | 31.9083i | − | 2.51472i | ||||||
\(162\) | −0.135084 | − | 0.303403i | −0.0106132 | − | 0.0238376i | ||||
\(163\) | −11.0564 | + | 1.16207i | −0.866001 | + | 0.0910203i | −0.527101 | − | 0.849802i | \(-0.676721\pi\) |
−0.338899 | + | 0.940823i | \(0.610055\pi\) | |||||||
\(164\) | 13.9351 | + | 19.1801i | 1.08815 | + | 1.49771i | ||||
\(165\) | −0.488823 | − | 0.542893i | −0.0380548 | − | 0.0422642i | ||||
\(166\) | −0.00168590 | + | 0.0160403i | −0.000130851 | + | 0.00124497i | ||||
\(167\) | 3.63821 | + | 17.1164i | 0.281533 | + | 1.32451i | 0.860622 | + | 0.509245i | \(0.170075\pi\) |
−0.579088 | + | 0.815265i | \(0.696591\pi\) | |||||||
\(168\) | −0.0365427 | − | 0.112467i | −0.00281933 | − | 0.00867701i | ||||
\(169\) | 11.8442 | + | 5.35860i | 0.911094 | + | 0.412200i | ||||
\(170\) | −0.108718 | − | 0.334599i | −0.00833827 | − | 0.0256625i | ||||
\(171\) | 10.7326 | + | 9.66372i | 0.820746 | + | 0.739003i | ||||
\(172\) | −17.0524 | − | 7.59220i | −1.30023 | − | 0.578900i | ||||
\(173\) | −18.0601 | − | 3.83879i | −1.37308 | − | 0.291857i | −0.538446 | − | 0.842660i | \(-0.680988\pi\) |
−0.834636 | + | 0.550803i | \(0.814322\pi\) | |||||||
\(174\) | −0.0234841 | − | 0.00763045i | −0.00178033 | − | 0.000578463i | ||||
\(175\) | −5.82721 | − | 13.0881i | −0.440496 | − | 0.989370i | ||||
\(176\) | −3.80668 | + | 3.42755i | −0.286939 | + | 0.258361i | ||||
\(177\) | −0.563508 | − | 0.775602i | −0.0423558 | − | 0.0582978i | ||||
\(178\) | 0.00137088 | + | 0.0130430i | 0.000102752 | + | 0.000977616i | ||||
\(179\) | 1.88888 | − | 17.9715i | 0.141182 | − | 1.34325i | −0.662888 | − | 0.748719i | \(-0.730669\pi\) |
0.804069 | − | 0.594535i | \(-0.202664\pi\) | |||||||
\(180\) | 15.0393 | − | 8.68296i | 1.12097 | − | 0.647190i | ||||
\(181\) | −2.61570 | −0.194424 | −0.0972119 | − | 0.995264i | \(-0.530992\pi\) | ||||
−0.0972119 | + | 0.995264i | \(0.530992\pi\) | |||||||
\(182\) | −0.502665 | + | 0.222000i | −0.0372600 | + | 0.0164557i | ||||
\(183\) | −0.245165 | − | 0.754539i | −0.0181231 | − | 0.0557772i | ||||
\(184\) | −0.255843 | − | 1.20364i | −0.0188610 | − | 0.0887338i | ||||
\(185\) | −7.62636 | − | 13.2092i | −0.560701 | − | 0.971162i | ||||
\(186\) | 0.0405048 | − | 0.00867435i | 0.00296996 | − | 0.000636034i | ||||
\(187\) | 4.01506i | 0.293610i | ||||||||
\(188\) | −15.7948 | + | 14.2217i | −1.15195 | + | 1.03722i | ||||
\(189\) | 0.956244 | − | 4.49877i | 0.0695565 | − | 0.327238i | ||||
\(190\) | 0.322265 | − | 0.443560i | 0.0233796 | − | 0.0321793i | ||||
\(191\) | 5.84577 | − | 10.1252i | 0.422985 | − | 0.732631i | −0.573245 | − | 0.819384i | \(-0.694316\pi\) |
0.996230 | + | 0.0867529i | \(0.0276491\pi\) | |||||||
\(192\) | 0.772787 | + | 1.33851i | 0.0557711 | + | 0.0965983i | ||||
\(193\) | −1.42252 | − | 0.149513i | −0.102395 | − | 0.0107622i | 0.0531923 | − | 0.998584i | \(-0.483060\pi\) |
−0.155587 | + | 0.987822i | \(0.549727\pi\) | |||||||
\(194\) | −0.0531465 | + | 0.0386132i | −0.00381570 | + | 0.00277227i | ||||
\(195\) | 1.20134 | + | 1.66395i | 0.0860295 | + | 0.119158i | ||||
\(196\) | −5.43589 | + | 16.7299i | −0.388278 | + | 1.19500i | ||||
\(197\) | −7.75870 | − | 0.815472i | −0.552785 | − | 0.0581000i | −0.175982 | − | 0.984393i | \(-0.556310\pi\) |
−0.376803 | + | 0.926293i | \(0.622977\pi\) | |||||||
\(198\) | 0.142579 | − | 0.0303062i | 0.0101327 | − | 0.00215376i | ||||
\(199\) | 20.8046 | + | 4.42215i | 1.47480 | + | 0.313478i | 0.874002 | − | 0.485923i | \(-0.161516\pi\) |
0.600798 | + | 0.799401i | \(0.294850\pi\) | |||||||
\(200\) | −0.324756 | − | 0.446988i | −0.0229637 | − | 0.0316068i | ||||
\(201\) | 0.378242 | − | 1.77949i | 0.0266791 | − | 0.125515i | ||||
\(202\) | −0.119623 | + | 0.562781i | −0.00841663 | + | 0.0395971i | ||||
\(203\) | 7.75494 | + | 10.6738i | 0.544290 | + | 0.749151i | ||||
\(204\) | 1.18673 | + | 0.252248i | 0.0830880 | + | 0.0176609i | ||||
\(205\) | 34.0360 | − | 7.23457i | 2.37717 | − | 0.505284i | ||||
\(206\) | 0.0689084 | + | 0.00724256i | 0.00480108 | + | 0.000504613i | ||||
\(207\) | 7.34795 | − | 22.6147i | 0.510718 | − | 1.57183i | ||||
\(208\) | 11.6674 | − | 8.42358i | 0.808986 | − | 0.584070i | ||||
\(209\) | −5.06205 | + | 3.67780i | −0.350150 | + | 0.254399i | ||||
\(210\) | −0.0862749 | − | 0.00906785i | −0.00595353 | − | 0.000625741i | ||||
\(211\) | 8.24288 | + | 14.2771i | 0.567463 | + | 0.982875i | 0.996816 | + | 0.0797380i | \(0.0254084\pi\) |
−0.429353 | + | 0.903137i | \(0.641258\pi\) | |||||||
\(212\) | 0.106681 | − | 0.184776i | 0.00732686 | − | 0.0126905i | ||||
\(213\) | 0.201620 | − | 0.277506i | 0.0138148 | − | 0.0190144i | ||||
\(214\) | −0.0436926 | + | 0.205558i | −0.00298676 | + | 0.0140516i | ||||
\(215\) | −20.3596 | + | 18.3319i | −1.38851 | + | 1.25022i | ||||
\(216\) | − | 0.177370i | − | 0.0120685i | ||||||
\(217\) | −20.2330 | − | 8.97126i | −1.37351 | − | 0.609009i | ||||
\(218\) | −0.328589 | − | 0.569133i | −0.0222549 | − | 0.0385466i | ||||
\(219\) | 0.110218 | + | 0.518536i | 0.00744786 | + | 0.0350394i | ||||
\(220\) | 2.32496 | + | 7.15550i | 0.156749 | + | 0.482424i | ||||
\(221\) | 1.21262 | − | 11.2142i | 0.0815694 | − | 0.754348i | ||||
\(222\) | −0.0386864 | −0.00259646 | ||||||||
\(223\) | −18.5326 | + | 10.6998i | −1.24104 | + | 0.716513i | −0.969305 | − | 0.245860i | \(-0.920930\pi\) |
−0.271732 | + | 0.962373i | \(0.587596\pi\) | |||||||
\(224\) | −0.190981 | + | 1.81706i | −0.0127605 | + | 0.121408i | ||||
\(225\) | −1.11600 | − | 10.6180i | −0.0743997 | − | 0.707866i | ||||
\(226\) | 0.0957267 | + | 0.131756i | 0.00636764 | + | 0.00876431i | ||||
\(227\) | 3.04486 | − | 2.74160i | 0.202094 | − | 0.181966i | −0.561869 | − | 0.827226i | \(-0.689918\pi\) |
0.763963 | + | 0.645260i | \(0.223251\pi\) | |||||||
\(228\) | 0.769024 | + | 1.72726i | 0.0509298 | + | 0.114390i | ||||
\(229\) | −5.97198 | − | 1.94041i | −0.394639 | − | 0.128226i | 0.104973 | − | 0.994475i | \(-0.466524\pi\) |
−0.499613 | + | 0.866249i | \(0.666524\pi\) | |||||||
\(230\) | −0.882978 | − | 0.187683i | −0.0582218 | − | 0.0123754i | ||||
\(231\) | 0.904428 | + | 0.402677i | 0.0595070 | + | 0.0264942i | ||||
\(232\) | 0.378115 | + | 0.340456i | 0.0248245 | + | 0.0223520i | ||||
\(233\) | −5.59729 | − | 17.2267i | −0.366691 | − | 1.12856i | −0.948915 | − | 0.315531i | \(-0.897818\pi\) |
0.582225 | − | 0.813028i | \(-0.302182\pi\) | |||||||
\(234\) | −0.407382 | + | 0.0415847i | −0.0266314 | + | 0.00271848i | ||||
\(235\) | 9.63970 | + | 29.6680i | 0.628825 | + | 1.93532i | ||||
\(236\) | 2.05283 | + | 9.65781i | 0.133628 | + | 0.628670i | ||||
\(237\) | −0.117033 | + | 1.11349i | −0.00760208 | + | 0.0723290i | ||||
\(238\) | 0.319030 | + | 0.354319i | 0.0206797 | + | 0.0229671i | ||||
\(239\) | 4.33338 | + | 5.96438i | 0.280303 | + | 0.385804i | 0.925834 | − | 0.377930i | \(-0.123364\pi\) |
−0.645531 | + | 0.763734i | \(0.723364\pi\) | |||||||
\(240\) | 2.25936 | − | 0.237468i | 0.145841 | − | 0.0153285i | ||||
\(241\) | −5.86080 | − | 13.1636i | −0.377527 | − | 0.847940i | −0.997970 | − | 0.0636880i | \(-0.979714\pi\) |
0.620443 | − | 0.784252i | \(-0.286953\pi\) | |||||||
\(242\) | − | 0.358581i | − | 0.0230505i | ||||||
\(243\) | 2.57599 | − | 4.46175i | 0.165250 | − | 0.286222i | ||||
\(244\) | −0.854089 | + | 8.12611i | −0.0546774 | + | 0.520221i | ||||
\(245\) | 19.1868 | + | 17.2759i | 1.22580 | + | 1.10372i | ||||
\(246\) | 0.0272726 | − | 0.0839366i | 0.00173884 | − | 0.00535160i | ||||
\(247\) | 15.2492 | − | 8.74338i | 0.970286 | − | 0.556328i | ||||
\(248\) | −0.835164 | − | 0.176184i | −0.0530330 | − | 0.0111877i | ||||
\(249\) | −0.0706969 | + | 0.0408169i | −0.00448023 | + | 0.00258666i | ||||
\(250\) | 0.153556 | − | 0.0326393i | 0.00971173 | − | 0.00206429i | ||||
\(251\) | 18.4775 | + | 3.92751i | 1.16629 | + | 0.247902i | 0.750068 | − | 0.661361i | \(-0.230021\pi\) |
0.416221 | + | 0.909263i | \(0.363354\pi\) | |||||||
\(252\) | −13.8331 | + | 19.0396i | −0.871404 | + | 1.19938i | ||||
\(253\) | 8.92175 | + | 5.15097i | 0.560905 | + | 0.323839i | ||||
\(254\) | −0.461627 | − | 0.266521i | −0.0289651 | − | 0.0167230i | ||||
\(255\) | 1.04667 | − | 1.44061i | 0.0655449 | − | 0.0902148i | ||||
\(256\) | −1.66018 | − | 15.7955i | −0.103761 | − | 0.987221i | ||||
\(257\) | −14.6670 | − | 6.53015i | −0.914900 | − | 0.407340i | −0.105380 | − | 0.994432i | \(-0.533606\pi\) |
−0.809520 | + | 0.587093i | \(0.800272\pi\) | |||||||
\(258\) | 0.0144473 | + | 0.0679691i | 0.000899448 | + | 0.00423157i | ||||
\(259\) | 16.7228 | + | 12.1498i | 1.03910 | + | 0.754951i | ||||
\(260\) | −4.33262 | − | 20.6877i | −0.268698 | − | 1.28300i | ||||
\(261\) | 3.03824 | + | 9.35075i | 0.188063 | + | 0.578797i | ||||
\(262\) | 0.100136 | − | 0.224910i | 0.00618644 | − | 0.0138950i | ||||
\(263\) | 10.6348 | − | 11.8111i | 0.655767 | − | 0.728303i | −0.319926 | − | 0.947442i | \(-0.603658\pi\) |
0.975694 | + | 0.219139i | \(0.0703249\pi\) | |||||||
\(264\) | 0.0373456 | + | 0.00793804i | 0.00229846 | + | 0.000488553i | ||||
\(265\) | −0.184067 | − | 0.253346i | −0.0113071 | − | 0.0155629i | ||||
\(266\) | −0.154482 | + | 0.726779i | −0.00947188 | + | 0.0445617i | ||||
\(267\) | −0.0493298 | + | 0.0444168i | −0.00301894 | + | 0.00271826i | ||||
\(268\) | −11.0129 | + | 15.1580i | −0.672720 | + | 0.925920i | ||||
\(269\) | 3.50706 | + | 3.89499i | 0.213829 | + | 0.237482i | 0.840512 | − | 0.541793i | \(-0.182254\pi\) |
−0.626683 | + | 0.779275i | \(0.715588\pi\) | |||||||
\(270\) | −0.118867 | − | 0.0529231i | −0.00723403 | − | 0.00322080i | ||||
\(271\) | 1.70113 | − | 3.82081i | 0.103336 | − | 0.232098i | −0.854476 | − | 0.519490i | \(-0.826122\pi\) |
0.957813 | + | 0.287393i | \(0.0927885\pi\) | |||||||
\(272\) | −10.1014 | − | 7.33907i | −0.612485 | − | 0.444996i | ||||
\(273\) | −2.40448 | − | 1.39784i | −0.145526 | − | 0.0846014i | ||||
\(274\) | −0.365366 | −0.0220725 | ||||||||
\(275\) | 4.60022 | + | 0.483502i | 0.277403 | + | 0.0291563i | ||||
\(276\) | 2.08299 | − | 2.31340i | 0.125381 | − | 0.139250i | ||||
\(277\) | −7.93020 | − | 8.80738i | −0.476480 | − | 0.529184i | 0.456206 | − | 0.889874i | \(-0.349208\pi\) |
−0.932686 | + | 0.360690i | \(0.882541\pi\) | |||||||
\(278\) | − | 0.598509i | − | 0.0358962i | ||||||
\(279\) | −12.2740 | − | 11.0176i | −0.734827 | − | 0.659608i | ||||
\(280\) | 1.54804 | + | 0.893763i | 0.0925133 | + | 0.0534126i | ||||
\(281\) | 18.6488 | + | 6.05938i | 1.11250 | + | 0.361472i | 0.806900 | − | 0.590689i | \(-0.201144\pi\) |
0.305597 | + | 0.952161i | \(0.401144\pi\) | |||||||
\(282\) | 0.0773922 | + | 0.0164502i | 0.00460864 | + | 0.000979596i | ||||
\(283\) | −0.239024 | + | 2.27416i | −0.0142085 | + | 0.135185i | −0.999327 | − | 0.0366944i | \(-0.988317\pi\) |
0.985118 | + | 0.171879i | \(0.0549839\pi\) | |||||||
\(284\) | −3.05941 | + | 1.76635i | −0.181543 | + | 0.104814i | ||||
\(285\) | 2.77503 | 0.164379 | ||||||||
\(286\) | 0.0190730 | − | 0.176386i | 0.00112781 | − | 0.0104299i | ||||
\(287\) | −38.1500 | + | 27.7176i | −2.25192 | + | 1.63612i | ||||
\(288\) | −0.553796 | + | 1.24385i | −0.0326327 | + | 0.0732943i | ||||
\(289\) | 7.05556 | − | 1.49971i | 0.415033 | − | 0.0882180i | ||||
\(290\) | 0.340982 | − | 0.151815i | 0.0200232 | − | 0.00891489i | ||||
\(291\) | −0.316225 | − | 0.102748i | −0.0185374 | − | 0.00602317i | ||||
\(292\) | 1.13513 | − | 5.34037i | 0.0664286 | − | 0.312522i | ||||
\(293\) | 12.7301 | − | 1.33799i | 0.743703 | − | 0.0781663i | 0.274904 | − | 0.961472i | \(-0.411354\pi\) |
0.468798 | + | 0.883305i | \(0.344687\pi\) | |||||||
\(294\) | 0.0622798 | − | 0.0202359i | 0.00363223 | − | 0.00118018i | ||||
\(295\) | 14.1749 | + | 3.01297i | 0.825294 | + | 0.175422i | ||||
\(296\) | 0.728234 | + | 0.324231i | 0.0423278 | + | 0.0188455i | ||||
\(297\) | 1.10352 | + | 0.993612i | 0.0640326 | + | 0.0576552i | ||||
\(298\) | −0.0996179 | + | 0.306592i | −0.00577071 | + | 0.0177604i | ||||
\(299\) | −23.3631 | − | 17.0814i | −1.35112 | − | 0.987841i | ||||
\(300\) | 0.431920 | − | 1.32931i | 0.0249369 | − | 0.0767479i | ||||
\(301\) | 15.1012 | − | 33.9179i | 0.870420 | − | 1.95499i | ||||
\(302\) | 0.840501 | + | 0.374215i | 0.0483654 | + | 0.0215337i | ||||
\(303\) | −2.66034 | + | 1.18446i | −0.152833 | + | 0.0680455i | ||||
\(304\) | − | 19.4581i | − | 1.11600i | ||||||
\(305\) | 10.3858 | + | 5.99625i | 0.594690 | + | 0.343344i | ||||
\(306\) | 0.144516 | + | 0.324587i | 0.00826141 | + | 0.0185554i | ||||
\(307\) | 2.35937 | − | 0.766605i | 0.134656 | − | 0.0437524i | −0.240914 | − | 0.970547i | \(-0.577447\pi\) |
0.375570 | + | 0.926794i | \(0.377447\pi\) | |||||||
\(308\) | −6.82257 | − | 7.57723i | −0.388752 | − | 0.431753i | ||||
\(309\) | 0.175348 | + | 0.303711i | 0.00997519 | + | 0.0172775i | ||||
\(310\) | −0.367266 | + | 0.507128i | −0.0208593 | + | 0.0288029i | ||||
\(311\) | 7.22480 | 0.409681 | 0.204840 | − | 0.978795i | \(-0.434332\pi\) | ||||
0.204840 | + | 0.978795i | \(0.434332\pi\) | |||||||
\(312\) | −0.101910 | − | 0.0334502i | −0.00576952 | − | 0.00189375i | ||||
\(313\) | 5.15749 | + | 15.8731i | 0.291519 | + | 0.897202i | 0.984369 | + | 0.176120i | \(0.0563548\pi\) |
−0.692850 | + | 0.721082i | \(0.743645\pi\) | |||||||
\(314\) | 0.427216 | + | 0.0449022i | 0.0241092 | + | 0.00253398i | ||||
\(315\) | 17.2708 | + | 29.9139i | 0.973099 | + | 1.68546i | ||||
\(316\) | 5.76547 | − | 9.98610i | 0.324333 | − | 0.561762i | ||||
\(317\) | 12.3762 | − | 17.0343i | 0.695115 | − | 0.956743i | −0.304876 | − | 0.952392i | \(-0.598615\pi\) |
0.999991 | − | 0.00435134i | \(-0.00138508\pi\) | |||||||
\(318\) | −0.000789919 | 0 | 8.30238e-5i | −4.42964e−5 | 0 | 4.65574e-6i | ||||
\(319\) | −4.23633 | + | 0.445257i | −0.237189 | + | 0.0249296i | ||||
\(320\) | −22.2193 | − | 7.21948i | −1.24210 | − | 0.403581i | ||||
\(321\) | −0.971698 | + | 0.432628i | −0.0542349 | + | 0.0241469i | ||||
\(322\) | 1.19661 | − | 0.254347i | 0.0666845 | − | 0.0141742i | ||||
\(323\) | −11.3342 | − | 10.2054i | −0.630653 | − | 0.567843i | ||||
\(324\) | −14.0059 | + | 10.1759i | −0.778108 | + | 0.565328i | ||||
\(325\) | −12.7025 | − | 2.73978i | −0.704610 | − | 0.151976i | ||||
\(326\) | −0.131712 | − | 0.405368i | −0.00729485 | − | 0.0224512i | ||||
\(327\) | 1.35291 | − | 3.03869i | 0.0748161 | − | 0.168040i | ||||
\(328\) | −1.21685 | + | 1.35145i | −0.0671895 | + | 0.0746215i | ||||
\(329\) | −28.2876 | − | 31.4165i | −1.55954 | − | 1.73205i | ||||
\(330\) | 0.0164628 | − | 0.0226592i | 0.000906250 | − | 0.00124735i | ||||
\(331\) | 20.2960 | − | 18.2746i | 1.11557 | − | 1.00446i | 0.115632 | − | 0.993292i | \(-0.463111\pi\) |
0.999938 | − | 0.0111712i | \(-0.00355599\pi\) | |||||||
\(332\) | 0.836136 | − | 0.0878815i | 0.0458889 | − | 0.00482312i | ||||
\(333\) | 9.05418 | + | 12.4620i | 0.496166 | + | 0.682914i | ||||
\(334\) | −0.612893 | + | 0.272877i | −0.0335360 | + | 0.0149312i | ||||
\(335\) | 13.7497 | + | 23.8152i | 0.751229 | + | 1.30117i | ||||
\(336\) | −2.66627 | + | 1.53937i | −0.145457 | + | 0.0839798i | ||||
\(337\) | −16.1238 | − | 11.7146i | −0.878320 | − | 0.638137i | 0.0544868 | − | 0.998514i | \(-0.482648\pi\) |
−0.932806 | + | 0.360378i | \(0.882648\pi\) | |||||||
\(338\) | −0.106543 | + | 0.486891i | −0.00579518 | + | 0.0264834i | ||||
\(339\) | −0.254723 | + | 0.783958i | −0.0138347 | + | 0.0425788i | ||||
\(340\) | −15.8823 | + | 9.16966i | −0.861340 | + | 0.497295i | ||||
\(341\) | 5.77466 | − | 4.20905i | 0.312715 | − | 0.227933i | ||||
\(342\) | −0.276853 | + | 0.479523i | −0.0149705 | + | 0.0259296i | ||||
\(343\) | −6.81236 | − | 2.21347i | −0.367833 | − | 0.119516i | ||||
\(344\) | 0.297693 | − | 1.40053i | 0.0160505 | − | 0.0755118i | ||||
\(345\) | −1.85836 | − | 4.17396i | −0.100051 | − | 0.224718i | ||||
\(346\) | − | 0.707881i | − | 0.0380559i | ||||||
\(347\) | −16.0598 | + | 27.8163i | −0.862133 | + | 1.49326i | 0.00773371 | + | 0.999970i | \(0.497538\pi\) |
−0.869866 | + | 0.493287i | \(0.835795\pi\) | |||||||
\(348\) | −0.134545 | + | 1.28011i | −0.00721237 | + | 0.0686211i | ||||
\(349\) | −8.45775 | + | 18.9964i | −0.452733 | + | 1.01685i | 0.532624 | + | 0.846352i | \(0.321206\pi\) |
−0.985357 | + | 0.170503i | \(0.945461\pi\) | |||||||
\(350\) | 0.444376 | − | 0.322858i | 0.0237529 | − | 0.0172575i | ||||
\(351\) | −2.78208 | − | 3.10847i | −0.148496 | − | 0.165918i | ||||
\(352\) | −0.477232 | − | 0.346729i | −0.0254366 | − | 0.0184807i | ||||
\(353\) | 4.93845 | + | 23.2336i | 0.262847 | + | 1.23660i | 0.889367 | + | 0.457194i | \(0.151145\pi\) |
−0.626520 | + | 0.779405i | \(0.715521\pi\) | |||||||
\(354\) | 0.0245945 | − | 0.0273149i | 0.00130718 | − | 0.00145177i | ||||
\(355\) | 0.541980 | + | 5.15660i | 0.0287653 | + | 0.273684i | ||||
\(356\) | 0.650183 | − | 0.211257i | 0.0344596 | − | 0.0111966i | ||||
\(357\) | −0.501733 | + | 2.36047i | −0.0265545 | + | 0.124929i | ||||
\(358\) | 0.689017 | − | 0.0724186i | 0.0364157 | − | 0.00382744i | ||||
\(359\) | −6.82933 | + | 2.21899i | −0.360438 | + | 0.117114i | −0.483637 | − | 0.875268i | \(-0.660685\pi\) |
0.123199 | + | 0.992382i | \(0.460685\pi\) | |||||||
\(360\) | 0.891341 | + | 0.989935i | 0.0469778 | + | 0.0521741i | ||||
\(361\) | 0.498410 | − | 4.74205i | 0.0262321 | − | 0.249582i | ||||
\(362\) | −0.0208503 | − | 0.0980931i | −0.00109587 | − | 0.00515566i | ||||
\(363\) | 1.46831 | − | 1.06679i | 0.0770663 | − | 0.0559919i | ||||
\(364\) | 16.7672 | + | 23.2240i | 0.878840 | + | 1.21727i | ||||
\(365\) | −6.48285 | − | 4.71007i | −0.339328 | − | 0.246536i | ||||
\(366\) | 0.0263422 | − | 0.0152087i | 0.00137693 | − | 0.000794969i | ||||
\(367\) | 4.63125 | + | 8.02156i | 0.241749 | + | 0.418722i | 0.961213 | − | 0.275808i | \(-0.0889455\pi\) |
−0.719463 | + | 0.694530i | \(0.755612\pi\) | |||||||
\(368\) | −29.2671 | + | 13.0306i | −1.52565 | + | 0.679265i | ||||
\(369\) | −33.4213 | + | 10.8592i | −1.73984 | + | 0.565310i | ||||
\(370\) | 0.434576 | − | 0.391294i | 0.0225925 | − | 0.0203424i | ||||
\(371\) | 0.367528 | + | 0.212192i | 0.0190811 | + | 0.0110165i | ||||
\(372\) | −0.881276 | − | 1.97126i | −0.0456920 | − | 0.102205i | ||||
\(373\) | 2.03192 | − | 3.51938i | 0.105209 | − | 0.182227i | −0.808615 | − | 0.588338i | \(-0.799782\pi\) |
0.913823 | + | 0.406112i | \(0.133116\pi\) | |||||||
\(374\) | −0.150571 | + | 0.0320049i | −0.00778585 | + | 0.00165493i | ||||
\(375\) | 0.590484 | + | 0.531674i | 0.0304925 | + | 0.0274555i | ||||
\(376\) | −1.31896 | − | 0.958283i | −0.0680204 | − | 0.0494197i | ||||
\(377\) | 11.9667 | + | 0.0358287i | 0.616316 | + | 0.00184527i | ||||
\(378\) | 0.176334 | 0.00906962 | ||||||||
\(379\) | −16.9950 | − | 1.78625i | −0.872976 | − | 0.0917535i | −0.342565 | − | 0.939494i | \(-0.611296\pi\) |
−0.530411 | + | 0.847741i | \(0.677962\pi\) | |||||||
\(380\) | −26.1090 | − | 11.6245i | −1.33936 | − | 0.596324i | ||||
\(381\) | −0.282012 | − | 2.68317i | −0.0144479 | − | 0.137463i | ||||
\(382\) | 0.426308 | + | 0.138516i | 0.0218118 | + | 0.00708708i | ||||
\(383\) | 5.77520 | + | 12.9713i | 0.295099 | + | 0.662803i | 0.998865 | − | 0.0476285i | \(-0.0151664\pi\) |
−0.703766 | + | 0.710432i | \(0.748500\pi\) | |||||||
\(384\) | −0.176599 | + | 0.159010i | −0.00901203 | + | 0.00811447i | ||||
\(385\) | −14.2326 | + | 4.62445i | −0.725361 | + | 0.235684i | ||||
\(386\) | −0.00573223 | − | 0.0545385i | −0.000291763 | − | 0.00277594i | ||||
\(387\) | 18.5136 | − | 20.5614i | 0.941098 | − | 1.04519i | ||||
\(388\) | 2.54481 | + | 2.29136i | 0.129193 | + | 0.116326i | ||||
\(389\) | −3.44516 | + | 2.50306i | −0.174677 | + | 0.126910i | −0.671688 | − | 0.740834i | \(-0.734431\pi\) |
0.497012 | + | 0.867744i | \(0.334431\pi\) | |||||||
\(390\) | −0.0528247 | + | 0.0583157i | −0.00267488 | + | 0.00295293i | ||||
\(391\) | −7.75981 | + | 23.8822i | −0.392430 | + | 1.20778i | ||||
\(392\) | −1.34195 | − | 0.141045i | −0.0677789 | − | 0.00712385i | ||||
\(393\) | 1.21886 | − | 0.259077i | 0.0614835 | − | 0.0130687i | ||||
\(394\) | −0.0312647 | − | 0.297464i | −0.00157509 | − | 0.0149860i | ||||
\(395\) | −9.94775 | − | 13.6919i | −0.500526 | − | 0.688914i | ||||
\(396\) | −3.09051 | − | 6.94141i | −0.155304 | − | 0.348819i | ||||
\(397\) | 17.2100 | + | 9.93617i | 0.863743 | + | 0.498682i | 0.865264 | − | 0.501317i | \(-0.167151\pi\) |
−0.00152086 | + | 0.999999i | \(0.500484\pi\) | |||||||
\(398\) | 0.815456i | 0.0408751i | ||||||||
\(399\) | −3.43559 | + | 1.52962i | −0.171994 | + | 0.0765768i | ||||
\(400\) | −9.62510 | + | 10.6898i | −0.481255 | + | 0.534488i | ||||
\(401\) | −3.60095 | − | 16.9411i | −0.179823 | − | 0.846000i | −0.971866 | − | 0.235535i | \(-0.924316\pi\) |
0.792043 | − | 0.610465i | \(-0.209018\pi\) | |||||||
\(402\) | 0.0697486 | 0.00347875 | ||||||||
\(403\) | −17.4000 | + | 10.0120i | −0.866757 | + | 0.498732i | ||||
\(404\) | 29.9916 | 1.49214 | ||||||||
\(405\) | 5.28293 | + | 24.8542i | 0.262511 | + | 1.23502i | ||||
\(406\) | −0.338467 | + | 0.375905i | −0.0167978 | + | 0.0186559i | ||||
\(407\) | −6.09672 | + | 2.71444i | −0.302203 | + | 0.134550i | ||||
\(408\) | 0.0930645i | 0.00460738i | ||||||||
\(409\) | −27.1460 | − | 15.6727i | −1.34228 | − | 0.774967i | −0.355141 | − | 0.934813i | \(-0.615567\pi\) |
−0.987142 | + | 0.159846i | \(0.948900\pi\) | |||||||
\(410\) | 0.542616 | + | 1.21873i | 0.0267979 | + | 0.0601890i | ||||
\(411\) | −1.08697 | − | 1.49609i | −0.0536164 | − | 0.0737967i | ||||
\(412\) | −0.377535 | − | 3.59201i | −0.0185998 | − | 0.176966i | ||||
\(413\) | −19.2098 | + | 4.08317i | −0.945253 | + | 0.200920i | ||||
\(414\) | 0.906657 | + | 0.0952935i | 0.0445598 | + | 0.00468342i | ||||
\(415\) | 0.381317 | − | 1.17357i | 0.0187181 | − | 0.0576084i | ||||
\(416\) | 1.22821 | + | 1.11256i | 0.0602178 | + | 0.0545477i | ||||
\(417\) | 2.45076 | − | 1.78058i | 0.120014 | − | 0.0871954i | ||||
\(418\) | −0.178274 | − | 0.160519i | −0.00871966 | − | 0.00785122i | ||||
\(419\) | −6.79598 | + | 7.54770i | −0.332006 | + | 0.368729i | −0.885915 | − | 0.463847i | \(-0.846469\pi\) |
0.553910 | + | 0.832577i | \(0.313135\pi\) | |||||||
\(420\) | 0.472683 | + | 4.49728i | 0.0230646 | + | 0.219445i | ||||
\(421\) | 37.3401 | − | 12.1325i | 1.81985 | − | 0.591304i | 0.820027 | − | 0.572325i | \(-0.193959\pi\) |
0.999820 | − | 0.0189786i | \(-0.00604144\pi\) | |||||||
\(422\) | −0.469708 | + | 0.422927i | −0.0228650 | + | 0.0205877i | ||||
\(423\) | −12.8138 | − | 28.7803i | −0.623029 | − | 1.39935i | ||||
\(424\) | 0.0155653 | + | 0.00505747i | 0.000755917 | + | 0.000245612i | ||||
\(425\) | 1.17855 | + | 11.2132i | 0.0571681 | + | 0.543918i | ||||
\(426\) | 0.0120141 | + | 0.00534901i | 0.000582084 | + | 0.000259160i | ||||
\(427\) | −16.1632 | − | 1.69882i | −0.782192 | − | 0.0822117i | ||||
\(428\) | 10.9545 | 0.529508 | ||||||||
\(429\) | 0.779003 | − | 0.446653i | 0.0376106 | − | 0.0215646i | ||||
\(430\) | −0.849765 | − | 0.617390i | −0.0409793 | − | 0.0297732i | ||||
\(431\) | 11.0813 | + | 9.97763i | 0.533766 | + | 0.480605i | 0.891375 | − | 0.453266i | \(-0.149741\pi\) |
−0.357609 | + | 0.933871i | \(0.616408\pi\) | |||||||
\(432\) | −4.51690 | + | 0.960097i | −0.217320 | + | 0.0461927i | ||||
\(433\) | 10.8104 | − | 18.7242i | 0.519515 | − | 0.899826i | −0.480228 | − | 0.877144i | \(-0.659446\pi\) |
0.999743 | − | 0.0226820i | \(-0.00722053\pi\) | |||||||
\(434\) | 0.175155 | − | 0.830283i | 0.00840770 | − | 0.0398549i | ||||
\(435\) | 1.63608 | + | 0.944592i | 0.0784441 | + | 0.0452897i | ||||
\(436\) | −25.4579 | + | 22.9224i | −1.21921 | + | 1.09778i | ||||
\(437\) | −37.2179 | + | 12.0928i | −1.78038 | + | 0.578479i | ||||
\(438\) | −0.0185673 | + | 0.00826672i | −0.000887182 | + | 0.000394999i | ||||
\(439\) | 1.09471 | + | 1.89609i | 0.0522477 | + | 0.0904956i | 0.890966 | − | 0.454069i | \(-0.150028\pi\) |
−0.838719 | + | 0.544565i | \(0.816695\pi\) | |||||||
\(440\) | −0.499804 | + | 0.288562i | −0.0238272 | + | 0.0137566i | ||||
\(441\) | −21.0946 | − | 15.3261i | −1.00450 | − | 0.729814i | ||||
\(442\) | 0.430216 | − | 0.0439156i | 0.0204633 | − | 0.00208885i | ||||
\(443\) | 30.6078 | − | 22.2379i | 1.45422 | − | 1.05655i | 0.469399 | − | 0.882986i | \(-0.344471\pi\) |
0.984822 | − | 0.173567i | \(-0.0555292\pi\) | |||||||
\(444\) | 0.419278 | + | 1.97255i | 0.0198981 | + | 0.0936131i | ||||
\(445\) | 0.104883 | − | 0.997895i | 0.00497193 | − | 0.0473047i | ||||
\(446\) | −0.548988 | − | 0.609713i | −0.0259953 | − | 0.0288707i | ||||
\(447\) | −1.55179 | + | 0.504208i | −0.0733973 | + | 0.0238482i | ||||
\(448\) | 31.4877 | − | 3.30949i | 1.48765 | − | 0.156359i | ||||
\(449\) | 5.55651 | − | 26.1413i | 0.262228 | − | 1.23368i | −0.628016 | − | 0.778200i | \(-0.716133\pi\) |
0.890244 | − | 0.455484i | \(-0.150534\pi\) | |||||||
\(450\) | 0.389296 | − | 0.126490i | 0.0183516 | − | 0.00596279i | ||||
\(451\) | −1.59143 | − | 15.1414i | −0.0749375 | − | 0.712983i | ||||
\(452\) | 5.68055 | − | 6.30889i | 0.267191 | − | 0.296745i | ||||
\(453\) | 0.968187 | + | 4.55496i | 0.0454894 | + | 0.214011i | ||||
\(454\) | 0.127086 | + | 0.0923331i | 0.00596442 | + | 0.00433341i | ||||
\(455\) | 41.1488 | − | 8.61776i | 1.92909 | − | 0.404007i | ||||
\(456\) | −0.117333 | + | 0.0852472i | −0.00549461 | + | 0.00399207i | ||||
\(457\) | 11.4806 | − | 25.7858i | 0.537040 | − | 1.20621i | −0.417650 | − | 0.908608i | \(-0.637146\pi\) |
0.954690 | − | 0.297603i | \(-0.0961871\pi\) | |||||||
\(458\) | 0.0251647 | − | 0.239426i | 0.00117587 | − | 0.0111876i | ||||
\(459\) | −1.80978 | + | 3.13463i | −0.0844732 | + | 0.146312i | ||||
\(460\) | 47.0555i | 2.19398i | ||||||||
\(461\) | 8.24273 | + | 18.5135i | 0.383902 | + | 0.862259i | 0.997366 | + | 0.0725356i | \(0.0231091\pi\) |
−0.613464 | + | 0.789723i | \(0.710224\pi\) | |||||||
\(462\) | −0.00789166 | + | 0.0371273i | −0.000367153 | + | 0.00172732i | ||||
\(463\) | −5.52711 | − | 1.79587i | −0.256867 | − | 0.0834611i | 0.177753 | − | 0.984075i | \(-0.443117\pi\) |
−0.434620 | + | 0.900614i | \(0.643117\pi\) | |||||||
\(464\) | 6.62333 | − | 11.4719i | 0.307480 | − | 0.532571i | ||||
\(465\) | −3.16920 | + | 0.00484872i | −0.146968 | + | 0.000224854i | ||||
\(466\) | 0.601411 | − | 0.347225i | 0.0278598 | − | 0.0160849i | ||||
\(467\) | 4.71173 | − | 14.5012i | 0.218033 | − | 0.671037i | −0.780891 | − | 0.624667i | \(-0.785235\pi\) |
0.998924 | − | 0.0463698i | \(-0.0147653\pi\) | |||||||
\(468\) | 6.53549 | + | 20.3210i | 0.302103 | + | 0.939337i | ||||
\(469\) | −30.1499 | − | 21.9052i | −1.39219 | − | 1.01149i | ||||
\(470\) | −1.03576 | + | 0.597994i | −0.0477758 | + | 0.0275834i | ||||
\(471\) | 1.08711 | + | 1.88294i | 0.0500916 | + | 0.0867612i | ||||
\(472\) | −0.691894 | + | 0.308051i | −0.0318470 | + | 0.0141792i | ||||
\(473\) | 7.04585 | + | 9.69779i | 0.323969 | + | 0.445905i | ||||
\(474\) | −0.0426906 | + | 0.00448696i | −0.00196084 | + | 0.000206093i | ||||
\(475\) | −13.0576 | + | 11.7571i | −0.599125 | + | 0.539454i | ||||
\(476\) | 14.6085 | − | 20.1068i | 0.669579 | − | 0.921596i | ||||
\(477\) | 0.211617 | + | 0.235025i | 0.00968929 | + | 0.0107610i | ||||
\(478\) | −0.189132 | + | 0.210052i | −0.00865068 | + | 0.00960755i | ||||
\(479\) | −7.19880 | + | 16.1688i | −0.328922 | + | 0.738770i | −0.999997 | − | 0.00261960i | \(-0.999166\pi\) |
0.671075 | + | 0.741389i | \(0.265833\pi\) | |||||||
\(480\) | 0.0808449 | + | 0.248815i | 0.00369005 | + | 0.0113568i | ||||
\(481\) | 17.8482 | − | 5.74020i | 0.813806 | − | 0.261730i | ||||
\(482\) | 0.446937 | − | 0.324719i | 0.0203574 | − | 0.0147905i | ||||
\(483\) | 4.60145 | + | 4.14316i | 0.209373 | + | 0.188520i | ||||
\(484\) | −18.2834 | + | 3.88626i | −0.831065 | + | 0.176648i | ||||
\(485\) | 4.59149 | − | 2.04426i | 0.208489 | − | 0.0928253i | ||||
\(486\) | 0.187857 | + | 0.0610383i | 0.00852135 | + | 0.00276875i | ||||
\(487\) | 6.11521 | − | 0.642734i | 0.277106 | − | 0.0291251i | 0.0350441 | − | 0.999386i | \(-0.488843\pi\) |
0.242062 | + | 0.970261i | \(0.422176\pi\) | |||||||
\(488\) | −0.623330 | + | 0.0655146i | −0.0282168 | + | 0.00296571i | ||||
\(489\) | 1.26804 | − | 1.74531i | 0.0573429 | − | 0.0789257i | ||||
\(490\) | −0.494931 | + | 0.857246i | −0.0223587 | + | 0.0387264i | ||||
\(491\) | −12.0128 | − | 20.8067i | −0.542129 | − | 0.938995i | −0.998782 | − | 0.0493500i | \(-0.984285\pi\) |
0.456652 | − | 0.889645i | \(-0.349048\pi\) | |||||||
\(492\) | −4.57535 | − | 0.480889i | −0.206273 | − | 0.0216801i | ||||
\(493\) | −3.20854 | − | 9.87488i | −0.144505 | − | 0.444742i | ||||
\(494\) | 0.449446 | + | 0.502176i | 0.0202215 | + | 0.0225939i | ||||
\(495\) | −11.1521 | −0.501252 | ||||||||
\(496\) | 0.0339984 | + | 22.2219i | 0.00152658 | + | 0.997795i | ||||
\(497\) | −3.51335 | − | 6.08531i | −0.157595 | − | 0.272963i | ||||
\(498\) | −0.00209424 | − | 0.00232589i | −9.38450e−5 | − | 0.000104225i | ||||
\(499\) | −23.8946 | + | 7.76383i | −1.06967 | + | 0.347557i | −0.790359 | − | 0.612644i | \(-0.790106\pi\) |
−0.279311 | + | 0.960201i | \(0.590106\pi\) | |||||||
\(500\) | −3.32844 | − | 7.47580i | −0.148852 | − | 0.334328i | ||||
\(501\) | −2.94075 | − | 1.69784i | −0.131383 | − | 0.0758539i | ||||
\(502\) | 0.724242i | 0.0323245i | ||||||||
\(503\) | −10.0886 | + | 4.49171i | −0.449826 | + | 0.200276i | −0.619130 | − | 0.785288i | \(-0.712515\pi\) |
0.169304 | + | 0.985564i | \(0.445848\pi\) | |||||||
\(504\) | −1.64917 | − | 0.734259i | −0.0734600 | − | 0.0327065i | ||||
\(505\) | 17.9042 | − | 40.2135i | 0.796726 | − | 1.78948i | ||||
\(506\) | −0.122053 | + | 0.375639i | −0.00542590 | + | 0.0166992i | ||||
\(507\) | −2.31068 | + | 1.01225i | −0.102621 | + | 0.0449554i | ||||
\(508\) | −8.58635 | + | 26.4261i | −0.380958 | + | 1.17247i | ||||
\(509\) | 1.94532 | + | 1.75158i | 0.0862249 | + | 0.0776372i | 0.711116 | − | 0.703075i | \(-0.248190\pi\) |
−0.624891 | + | 0.780712i | \(0.714857\pi\) | |||||||
\(510\) | 0.0623686 | + | 0.0277683i | 0.00276173 | + | 0.00122960i | ||||
\(511\) | 10.6222 | + | 2.25783i | 0.469900 | + | 0.0998804i | ||||
\(512\) | 2.90847 | − | 0.945018i | 0.128537 | − | 0.0417643i | ||||
\(513\) | −5.60980 | + | 0.589613i | −0.247679 | + | 0.0260321i | ||||
\(514\) | 0.127978 | − | 0.602087i | 0.00564485 | − | 0.0265569i | ||||
\(515\) | −5.04163 | − | 1.63812i | −0.222161 | − | 0.0721844i | ||||
\(516\) | 3.30904 | − | 1.47328i | 0.145672 | − | 0.0648576i | ||||
\(517\) | 13.3507 | − | 2.83779i | 0.587164 | − | 0.124806i | ||||
\(518\) | −0.322336 | + | 0.723978i | −0.0141626 | + | 0.0318098i | ||||
\(519\) | 2.89861 | − | 2.10597i | 0.127235 | − | 0.0924417i | ||||
\(520\) | 1.48312 | − | 0.655013i | 0.0650391 | − | 0.0287242i | ||||
\(521\) | 28.9487 | 1.26826 | 0.634132 | − | 0.773225i | \(-0.281358\pi\) | ||||
0.634132 | + | 0.773225i | \(0.281358\pi\) | |||||||
\(522\) | −0.326450 | + | 0.188476i | −0.0142883 | + | 0.00824936i | ||||
\(523\) | 4.61219 | − | 43.8820i | 0.201677 | − | 1.91883i | −0.161077 | − | 0.986942i | \(-0.551497\pi\) |
0.362753 | − | 0.931885i | \(-0.381837\pi\) | |||||||
\(524\) | −12.5530 | − | 2.66822i | −0.548380 | − | 0.116562i | ||||
\(525\) | 2.64406 | + | 0.859108i | 0.115396 | + | 0.0374945i | ||||
\(526\) | 0.527707 | + | 0.304672i | 0.0230091 | + | 0.0132843i | ||||
\(527\) | 12.9620 | + | 11.6352i | 0.564634 | + | 0.506837i | ||||
\(528\) | − | 0.994009i | − | 0.0432587i | ||||||
\(529\) | 27.7229 | + | 30.7894i | 1.20534 | + | 1.33867i | ||||
\(530\) | 0.00803365 | − | 0.00892227i | 0.000348959 | − | 0.000387559i | ||||
\(531\) | −14.5550 | − | 1.52980i | −0.631635 | − | 0.0663875i | ||||
\(532\) | 38.7314 | 1.67922 | ||||||||
\(533\) | −0.128058 | + | 42.7712i | −0.00554682 | + | 1.85263i | ||||
\(534\) | −0.00205892 | − | 0.00149589i | −8.90981e−5 | − | 6.47336e-5i | ||||
\(535\) | 6.53956 | − | 14.6881i | 0.282730 | − | 0.635022i | ||||
\(536\) | −1.31295 | − | 0.584563i | −0.0567108 | − | 0.0252493i | ||||
\(537\) | 2.34638 | + | 2.60592i | 0.101254 | + | 0.112454i | ||||
\(538\) | −0.118113 | + | 0.162568i | −0.00509220 | + | 0.00700881i | ||||
\(539\) | 8.39503 | − | 7.55892i | 0.361599 | − | 0.325586i | ||||
\(540\) | −1.41019 | + | 6.63440i | −0.0606847 | + | 0.285499i | ||||
\(541\) | 17.8826 | + | 24.6133i | 0.768833 | + | 1.05821i | 0.996428 | + | 0.0844518i | \(0.0269139\pi\) |
−0.227595 | + | 0.973756i | \(0.573086\pi\) | |||||||
\(542\) | 0.156846 | + | 0.0333388i | 0.00673713 | + | 0.00143202i | ||||
\(543\) | 0.339639 | − | 0.377207i | 0.0145753 | − | 0.0161875i | ||||
\(544\) | 0.584837 | − | 1.31357i | 0.0250747 | − | 0.0563187i | ||||
\(545\) | 15.5372 | + | 47.8185i | 0.665539 | + | 2.04832i | ||||
\(546\) | 0.0332548 | − | 0.101314i | 0.00142317 | − | 0.00433586i | ||||
\(547\) | 9.41751 | + | 6.84222i | 0.402664 | + | 0.292552i | 0.770625 | − | 0.637289i | \(-0.219944\pi\) |
−0.367961 | + | 0.929841i | \(0.619944\pi\) | |||||||
\(548\) | 3.95979 | + | 18.6293i | 0.169154 | + | 0.795806i | ||||
\(549\) | −11.0643 | − | 4.92614i | −0.472212 | − | 0.210242i | ||||
\(550\) | 0.0185372 | + | 0.176370i | 0.000790428 | + | 0.00752042i | ||||
\(551\) | 9.51089 | − | 13.0906i | 0.405178 | − | 0.557679i | ||||
\(552\) | 0.206796 | + | 0.119394i | 0.00880182 | + | 0.00508173i | ||||
\(553\) | 19.8628 | + | 11.4678i | 0.844651 | + | 0.487660i | ||||
\(554\) | 0.267078 | − | 0.367601i | 0.0113470 | − | 0.0156179i | ||||
\(555\) | 2.89514 | + | 0.615380i | 0.122892 | + | 0.0261214i | ||||
\(556\) | −30.5169 | + | 6.48657i | −1.29420 | + | 0.275092i | ||||
\(557\) | −19.9917 | + | 11.5422i | −0.847077 | + | 0.489060i | −0.859664 | − | 0.510861i | \(-0.829327\pi\) |
0.0125865 | + | 0.999921i | \(0.495994\pi\) | |||||||
\(558\) | 0.315340 | − | 0.548119i | 0.0133494 | − | 0.0232037i | ||||
\(559\) | −16.7504 | − | 29.2142i | −0.708467 | − | 1.23563i | ||||
\(560\) | 14.3811 | − | 44.2603i | 0.607711 | − | 1.87034i | ||||
\(561\) | −0.579006 | − | 0.521339i | −0.0244457 | − | 0.0220110i | ||||
\(562\) | −0.0785825 | + | 0.747662i | −0.00331480 | + | 0.0315382i | ||||
\(563\) | 18.4194 | − | 31.9033i | 0.776285 | − | 1.34457i | −0.157784 | − | 0.987474i | \(-0.550435\pi\) |
0.934069 | − | 0.357092i | \(-0.116232\pi\) | |||||||
\(564\) | − | 4.12437i | − | 0.173667i | ||||||
\(565\) | −5.06797 | − | 11.3828i | −0.213211 | − | 0.478880i | ||||
\(566\) | −0.0871899 | + | 0.00916403i | −0.00366487 | + | 0.000385193i | ||||
\(567\) | −20.2403 | − | 27.8584i | −0.850014 | − | 1.16994i | ||||
\(568\) | −0.181323 | − | 0.201380i | −0.00760816 | − | 0.00844971i | ||||
\(569\) | −3.55637 | + | 33.8366i | −0.149091 | + | 1.41851i | 0.622616 | + | 0.782527i | \(0.286070\pi\) |
−0.771707 | + | 0.635978i | \(0.780597\pi\) | |||||||
\(570\) | 0.0221203 | + | 0.104068i | 0.000926519 | + | 0.00435893i | ||||
\(571\) | 6.14501 | + | 18.9124i | 0.257161 | + | 0.791459i | 0.993396 | + | 0.114734i | \(0.0366015\pi\) |
−0.736236 | + | 0.676725i | \(0.763399\pi\) | |||||||
\(572\) | −9.20031 | + | 0.939150i | −0.384684 | + | 0.0392678i | ||||
\(573\) | 0.701086 | + | 2.15772i | 0.0292883 | + | 0.0901401i | ||||
\(574\) | −1.34356 | − | 1.20974i | −0.0560789 | − | 0.0504937i | ||||
\(575\) | 26.4284 | + | 11.7667i | 1.10214 | + | 0.490705i | ||||
\(576\) | 23.0787 | + | 4.90553i | 0.961613 | + | 0.204397i | ||||
\(577\) | 20.3124 | + | 6.59990i | 0.845616 | + | 0.274757i | 0.699609 | − | 0.714526i | \(-0.253358\pi\) |
0.146007 | + | 0.989284i | \(0.453358\pi\) | |||||||
\(578\) | 0.112483 | + | 0.252640i | 0.00467866 | + | 0.0105084i | ||||
\(579\) | 0.206269 | − | 0.185726i | 0.00857227 | − | 0.00771850i | ||||
\(580\) | −11.4363 | − | 15.7407i | −0.474867 | − | 0.653598i | ||||
\(581\) | 0.174800 | + | 1.66311i | 0.00725193 | + | 0.0689975i | ||||
\(582\) | 0.00133251 | − | 0.0126780i | 5.52342e−5 | − | 0.000525518i | ||||
\(583\) | −0.118661 | + | 0.0685087i | −0.00491442 | + | 0.00283734i | ||||
\(584\) | 0.418796 | 0.0173299 | ||||||||
\(585\) | 31.1483 | + | 3.36814i | 1.28782 | + | 0.139255i | ||||
\(586\) | 0.151651 | + | 0.466735i | 0.00626466 | + | 0.0192807i | ||||
\(587\) | 1.65601 | + | 7.79090i | 0.0683507 | + | 0.321565i | 0.999018 | − | 0.0443013i | \(-0.0141062\pi\) |
−0.930668 | + | 0.365866i | \(0.880773\pi\) | |||||||
\(588\) | −1.70677 | − | 2.95622i | −0.0703862 | − | 0.121912i | ||||
\(589\) | −2.79605 | + | 26.9999i | −0.115209 | + | 1.11251i | ||||
\(590\) | 0.555598i | 0.0228736i | ||||||||
\(591\) | 1.12503 | − | 1.01299i | 0.0462777 | − | 0.0416687i | ||||
\(592\) | 4.31495 | − | 20.3002i | 0.177343 | − | 0.834335i | ||||
\(593\) | 17.3383 | − | 23.8641i | 0.711998 | − | 0.979981i | −0.287754 | − | 0.957704i | \(-0.592908\pi\) |
0.999752 | − | 0.0222768i | \(-0.00709151\pi\) | |||||||
\(594\) | −0.0284657 | + | 0.0493040i | −0.00116796 | + | 0.00202297i | ||||
\(595\) | −18.2389 | − | 31.5906i | −0.747720 | − | 1.29509i | ||||
\(596\) | 16.7122 | + | 1.75653i | 0.684560 | + | 0.0719502i | ||||
\(597\) | −3.33911 | + | 2.42600i | −0.136661 | + | 0.0992897i | ||||
\(598\) | 0.454346 | − | 1.01231i | 0.0185796 | − | 0.0413965i | ||||
\(599\) | 7.08382 | − | 21.8017i | 0.289437 | − | 0.890795i | −0.695597 | − | 0.718433i | \(-0.744860\pi\) |
0.985034 | − | 0.172363i | \(-0.0551401\pi\) | |||||||
\(600\) | 0.106628 | + | 0.0112070i | 0.00435306 | + | 0.000457525i | ||||
\(601\) | −3.38543 | + | 0.719596i | −0.138095 | + | 0.0293529i | −0.276440 | − | 0.961031i | \(-0.589155\pi\) |
0.138346 | + | 0.990384i | \(0.455822\pi\) | |||||||
\(602\) | 1.39235 | + | 0.295953i | 0.0567480 | + | 0.0120622i | ||||
\(603\) | −16.3240 | − | 22.4681i | −0.664765 | − | 0.914971i | ||||
\(604\) | 9.97131 | − | 46.9113i | 0.405727 | − | 1.90879i | ||||
\(605\) | −5.70392 | + | 26.8348i | −0.231897 | + | 1.09099i | ||||
\(606\) | −0.0656253 | − | 0.0903255i | −0.00266585 | − | 0.00366922i | ||||
\(607\) | −9.35280 | − | 1.98800i | −0.379618 | − | 0.0806904i | 0.0141505 | − | 0.999900i | \(-0.495496\pi\) |
−0.393769 | + | 0.919210i | \(0.628829\pi\) | |||||||
\(608\) | 2.19181 | − | 0.465884i | 0.0888897 | − | 0.0188941i | ||||
\(609\) | −2.54620 | − | 0.267616i | −0.103177 | − | 0.0108443i | ||||
\(610\) | −0.142081 | + | 0.437282i | −0.00575271 | + | 0.0177050i | ||||
\(611\) | −38.1461 | + | 3.89388i | −1.54323 | + | 0.157530i | ||||
\(612\) | 14.9839 | − | 10.8864i | 0.605688 | − | 0.440058i | ||||
\(613\) | −7.26316 | − | 0.763389i | −0.293356 | − | 0.0308330i | −0.0432928 | − | 0.999062i | \(-0.513785\pi\) |
−0.250063 | + | 0.968229i | \(0.580451\pi\) | |||||||
\(614\) | 0.0475559 | + | 0.0823693i | 0.00191920 | + | 0.00332415i | ||||
\(615\) | −3.37615 | + | 5.84766i | −0.136139 | + | 0.235800i | ||||
\(616\) | 0.459717 | − | 0.632746i | 0.0185225 | − | 0.0254941i | ||||
\(617\) | −1.53165 | + | 7.20583i | −0.0616618 | + | 0.290096i | −0.998164 | − | 0.0605651i | \(-0.980710\pi\) |
0.936502 | + | 0.350661i | \(0.114043\pi\) | |||||||
\(618\) | −0.00999192 | + | 0.00899677i | −0.000401934 | + | 0.000361903i | ||||
\(619\) | − | 1.49609i | − | 0.0601329i | −0.999548 | − | 0.0300664i | \(-0.990428\pi\) | ||
0.999548 | − | 0.0300664i | \(-0.00957189\pi\) | |||||||
\(620\) | 29.8379 | + | 13.2300i | 1.19832 | + | 0.531331i | ||||
\(621\) | 4.64358 | + | 8.04291i | 0.186340 | + | 0.322751i | ||||
\(622\) | 0.0575904 | + | 0.270941i | 0.00230916 | + | 0.0108638i | ||||
\(623\) | 0.420200 | + | 1.29324i | 0.0168350 | + | 0.0518126i | ||||
\(624\) | −0.300208 | + | 2.77630i | −0.0120179 | + | 0.111141i | ||||
\(625\) | −30.0310 | −1.20124 | ||||||||
\(626\) | −0.554156 | + | 0.319942i | −0.0221485 | + | 0.0127875i | ||||
\(627\) | 0.126917 | − | 1.20754i | 0.00506859 | − | 0.0482245i | ||||
\(628\) | −2.34063 | − | 22.2696i | −0.0934013 | − | 0.888654i | ||||
\(629\) | −9.56169 | − | 13.1605i | −0.381249 | − | 0.524745i | ||||
\(630\) | −0.984150 | + | 0.886132i | −0.0392095 | + | 0.0353044i | ||||
\(631\) | 7.40702 | + | 16.6364i | 0.294869 | + | 0.662286i | 0.998851 | − | 0.0479320i | \(-0.0152631\pi\) |
−0.703982 | + | 0.710218i | \(0.748596\pi\) | |||||||
\(632\) | 0.841214 | + | 0.273327i | 0.0334617 | + | 0.0108724i | ||||
\(633\) | −3.12918 | − | 0.665128i | −0.124374 | − | 0.0264365i | ||||
\(634\) | 0.737468 | + | 0.328342i | 0.0292886 | + | 0.0130401i | ||||
\(635\) | 30.3069 | + | 27.2884i | 1.20269 | + | 1.08291i | ||||
\(636\) | 0.0127943 | + | 0.0393767i | 0.000507326 | + | 0.00156139i | ||||
\(637\) | −25.7305 | + | 18.5769i | −1.01948 | + | 0.736042i | ||||
\(638\) | −0.0504665 | − | 0.155320i | −0.00199799 | − | 0.00614918i | ||||
\(639\) | −1.08871 | − | 5.12197i | −0.0430686 | − | 0.202622i | ||||
\(640\) | 0.375477 | − | 3.57243i | 0.0148420 | − | 0.141213i | ||||
\(641\) | −5.93886 | − | 6.59577i | −0.234571 | − | 0.260517i | 0.614354 | − | 0.789030i | \(-0.289416\pi\) |
−0.848925 | + | 0.528513i | \(0.822750\pi\) | |||||||
\(642\) | −0.0239699 | − | 0.0329917i | −0.000946015 | − | 0.00130208i | ||||
\(643\) | −43.1630 | + | 4.53662i | −1.70218 | + | 0.178907i | −0.905168 | − | 0.425053i | \(-0.860255\pi\) |
−0.797015 | + | 0.603960i | \(0.793589\pi\) | |||||||
\(644\) | −25.9374 | − | 58.2564i | −1.02208 | − | 2.29563i | ||||
\(645\) | − | 5.31635i | − | 0.209331i | ||||||
\(646\) | 0.292371 | − | 0.506401i | 0.0115032 | − | 0.0199241i | ||||
\(647\) | −3.38150 | + | 32.1728i | −0.132940 | + | 1.26484i | 0.701069 | + | 0.713093i | \(0.252706\pi\) |
−0.834010 | + | 0.551750i | \(0.813960\pi\) | |||||||
\(648\) | −0.986877 | − | 0.888588i | −0.0387682 | − | 0.0349070i | ||||
\(649\) | 1.95937 | − | 6.03033i | 0.0769121 | − | 0.236711i | ||||
\(650\) | 0.00149164 | − | 0.498205i | 5.85069e−5 | − | 0.0195412i | ||||
\(651\) | 3.92091 | − | 1.75290i | 0.153673 | − | 0.0687014i | ||||
\(652\) | −19.2415 | + | 11.1091i | −0.753555 | + | 0.435065i | ||||
\(653\) | 37.1632 | − | 7.89929i | 1.45431 | − | 0.309123i | 0.588094 | − | 0.808793i | \(-0.299879\pi\) |
0.866216 | + | 0.499670i | \(0.166545\pi\) | |||||||
\(654\) | 0.124740 | + | 0.0265143i | 0.00487771 | + | 0.00103679i | ||||
\(655\) | −11.0714 | + | 15.2385i | −0.432596 | + | 0.595417i | ||||
\(656\) | 41.0028 | + | 23.6730i | 1.60089 | + | 0.924275i | ||||
\(657\) | 7.00846 | + | 4.04634i | 0.273426 | + | 0.157863i | ||||
\(658\) | 0.952683 | − | 1.31126i | 0.0371395 | − | 0.0511181i | ||||
\(659\) | −1.10631 | − | 10.5258i | −0.0430957 | − | 0.410028i | −0.994709 | − | 0.102731i | \(-0.967242\pi\) |
0.951614 | − | 0.307297i | \(-0.0994247\pi\) | |||||||
\(660\) | −1.33377 | − | 0.593834i | −0.0519170 | − | 0.0231149i | ||||
\(661\) | 3.40138 | + | 16.0022i | 0.132298 | + | 0.622414i | 0.993469 | + | 0.114099i | \(0.0363981\pi\) |
−0.861171 | + | 0.508315i | \(0.830269\pi\) | |||||||
\(662\) | 0.847111 | + | 0.615462i | 0.0329239 | + | 0.0239206i | ||||
\(663\) | 1.45973 | + | 1.63099i | 0.0566912 | + | 0.0633423i | ||||
\(664\) | 0.0199288 | + | 0.0613344i | 0.000773386 | + | 0.00238024i | ||||
\(665\) | 23.1216 | − | 51.9320i | 0.896617 | − | 2.01384i | ||||
\(666\) | −0.395173 | + | 0.438884i | −0.0153126 | + | 0.0170064i | ||||
\(667\) | −26.0590 | − | 5.53900i | −1.00901 | − | 0.214471i | ||||
\(668\) | 20.5560 | + | 28.2929i | 0.795335 | + | 1.09468i | ||||
\(669\) | 0.863382 | − | 4.06189i | 0.0333803 | − | 0.157042i | ||||
\(670\) | −0.783508 | + | 0.705474i | −0.0302695 | + | 0.0272548i | ||||
\(671\) | 3.08424 | − | 4.24509i | 0.119066 | − | 0.163880i | ||||
\(672\) | −0.237238 | − | 0.263480i | −0.00915166 | − | 0.0101639i | ||||
\(673\) | 17.2595 | + | 7.68443i | 0.665305 | + | 0.296213i | 0.711465 | − | 0.702721i | \(-0.248032\pi\) |
−0.0461602 | + | 0.998934i | \(0.514698\pi\) | |||||||
\(674\) | 0.310791 | − | 0.698048i | 0.0119712 | − | 0.0268878i | ||||
\(675\) | 3.37353 | + | 2.45102i | 0.129847 | + | 0.0943396i | ||||
\(676\) | 25.9804 | + | 0.155574i | 0.999247 | + | 0.00598361i | ||||
\(677\) | −32.3375 | −1.24283 | −0.621415 | − | 0.783481i | \(-0.713442\pi\) | ||||
−0.621415 | + | 0.783481i | \(0.713442\pi\) | |||||||
\(678\) | −0.0314301 | − | 0.00330344i | −0.00120707 | − | 0.000126868i | ||||
\(679\) | −4.55762 | + | 5.06175i | −0.174905 | + | 0.194252i | ||||
\(680\) | −0.941302 | − | 1.04542i | −0.0360973 | − | 0.0400901i | ||||
\(681\) | 0.795081i | 0.0304676i | ||||||||
\(682\) | 0.203877 | + | 0.183008i | 0.00780685 | + | 0.00700772i | ||||
\(683\) | 7.33465 | + | 4.23466i | 0.280653 | + | 0.162035i | 0.633719 | − | 0.773563i | \(-0.281528\pi\) |
−0.353066 | + | 0.935598i | \(0.614861\pi\) | |||||||
\(684\) | 27.4505 | + | 8.91921i | 1.04960 | + | 0.341035i | ||||
\(685\) | 27.3425 | + | 5.81183i | 1.04470 | + | 0.222059i | ||||
\(686\) | 0.0287059 | − | 0.273118i | 0.00109600 | − | 0.0104277i | ||||
\(687\) | 1.05526 | − | 0.609256i | 0.0402607 | − | 0.0232445i | ||||
\(688\) | −37.2774 | −1.42119 | ||||||||
\(689\) | 0.352114 | − | 0.155510i | 0.0134145 | − | 0.00592445i | ||||
\(690\) | 0.141717 | − | 0.102963i | 0.00539506 | − | 0.00391974i | ||||
\(691\) | −2.70024 | + | 6.06484i | −0.102722 | + | 0.230717i | −0.957594 | − | 0.288122i | \(-0.906969\pi\) |
0.854872 | + | 0.518839i | \(0.173636\pi\) | |||||||
\(692\) | −36.0936 | + | 7.67193i | −1.37207 | + | 0.291643i | ||||
\(693\) | 13.8068 | − | 6.14717i | 0.524475 | − | 0.233511i | ||||
\(694\) | −1.17117 | − | 0.380537i | −0.0444571 | − | 0.0144450i | ||||
\(695\) | −9.52042 | + | 44.7901i | −0.361130 | + | 1.69898i | ||||
\(696\) | −0.0981934 | + | 0.0103205i | −0.00372201 | + | 0.000391199i | ||||
\(697\) | 35.2946 | − | 11.4679i | 1.33688 | − | 0.434379i | ||||
\(698\) | −0.779814 | − | 0.165755i | −0.0295164 | − | 0.00627391i | ||||
\(699\) | 3.21102 | + | 1.42964i | 0.121452 | + | 0.0540740i | ||||
\(700\) | −21.2780 | − | 19.1588i | −0.804235 | − | 0.724136i | ||||
\(701\) | 6.94983 | − | 21.3894i | 0.262491 | − | 0.807865i | −0.729769 | − | 0.683693i | \(-0.760373\pi\) |
0.992261 | − | 0.124172i | \(-0.0396274\pi\) | |||||||
\(702\) | 0.0943962 | − | 0.129111i | 0.00356276 | − | 0.00487296i | ||||
\(703\) | 7.83385 | − | 24.1101i | 0.295459 | − | 0.909330i | ||||
\(704\) | −4.15773 | + | 9.33841i | −0.156700 | + | 0.351955i | ||||
\(705\) | −5.53005 | − | 2.46214i | −0.208274 | − | 0.0927295i | ||||
\(706\) | −0.831931 | + | 0.370400i | −0.0313101 | + | 0.0139402i | ||||
\(707\) | 59.6547i | 2.24355i | ||||||||
\(708\) | −1.65929 | − | 0.957992i | −0.0623600 | − | 0.0360035i | ||||
\(709\) | 5.11899 | + | 11.4974i | 0.192248 | + | 0.431795i | 0.983791 | − | 0.179317i | \(-0.0573889\pi\) |
−0.791544 | + | 0.611113i | \(0.790722\pi\) | |||||||
\(710\) | −0.189060 | + | 0.0614294i | −0.00709531 | + | 0.00230541i | ||||
\(711\) | 11.4367 | + | 12.7017i | 0.428910 | + | 0.476353i | ||||
\(712\) | 0.0262201 | + | 0.0454145i | 0.000982640 | + | 0.00170198i | ||||
\(713\) | 42.4834 | − | 13.8756i | 1.59101 | − | 0.519644i | ||||
\(714\) | −0.0925207 | −0.00346250 | ||||||||
\(715\) | −4.23310 | + | 12.8966i | −0.158309 | + | 0.482307i | ||||
\(716\) | −11.1600 | − | 34.3469i | −0.417068 | − | 1.28360i | ||||
\(717\) | −1.42279 | − | 0.149541i | −0.0531350 | − | 0.00558471i | ||||
\(718\) | −0.137654 | − | 0.238423i | −0.00513718 | − | 0.00889786i | ||||
\(719\) | −17.9671 | + | 31.1199i | −0.670060 | + | 1.16058i | 0.307827 | + | 0.951442i | \(0.400398\pi\) |
−0.977887 | + | 0.209136i | \(0.932935\pi\) | |||||||
\(720\) | 20.3849 | − | 28.0573i | 0.759699 | − | 1.04564i | ||||
\(721\) | 7.14466 | − | 0.750934i | 0.266081 | − | 0.0279663i | ||||
\(722\) | 0.181807 | − | 0.0191087i | 0.00676617 | − | 0.000711153i | ||||
\(723\) | 2.65930 | + | 0.864059i | 0.0989005 | + | 0.0321347i | ||||
\(724\) | −4.77562 | + | 2.12624i | −0.177484 | + | 0.0790211i | ||||
\(725\) | −11.7004 | + | 2.48700i | −0.434543 | + | 0.0923649i | ||||
\(726\) | 0.0517105 | + | 0.0465604i | 0.00191916 | + | 0.00172802i | ||||
\(727\) | −5.52968 | + | 4.01755i | −0.205085 | + | 0.149003i | −0.685587 | − | 0.727991i | \(-0.740454\pi\) |
0.480502 | + | 0.876993i | \(0.340454\pi\) | |||||||
\(728\) | −1.47511 | + | 1.62844i | −0.0546710 | + | 0.0603540i | ||||
\(729\) | −7.72165 | − | 23.7648i | −0.285987 | − | 0.880178i | ||||
\(730\) | 0.124959 | − | 0.280662i | 0.00462494 | − | 0.0103878i | ||||
\(731\) | −19.5513 | + | 21.7139i | −0.723130 | + | 0.803118i | ||||
\(732\) | −1.06096 | − | 1.17831i | −0.0392140 | − | 0.0435516i | ||||
\(733\) | 20.5831 | − | 28.3302i | 0.760253 | − | 1.04640i | −0.236940 | − | 0.971524i | \(-0.576145\pi\) |
0.997193 | − | 0.0748738i | \(-0.0238554\pi\) | |||||||
\(734\) | −0.263905 | + | 0.237621i | −0.00974090 | + | 0.00877075i | ||||
\(735\) | −4.98266 | + | 0.523699i | −0.183788 | + | 0.0193169i | ||||
\(736\) | −2.16854 | − | 2.98474i | −0.0799335 | − | 0.110019i | ||||
\(737\) | 10.9919 | − | 4.89392i | 0.404893 | − | 0.180270i | ||||
\(738\) | −0.673647 | − | 1.16679i | −0.0247973 | − | 0.0429502i | ||||
\(739\) | 38.1921 | − | 22.0502i | 1.40492 | − | 0.811131i | 0.410029 | − | 0.912073i | \(-0.365519\pi\) |
0.994892 | + | 0.100941i | \(0.0321854\pi\) | |||||||
\(740\) | −24.6613 | − | 17.9175i | −0.906566 | − | 0.658659i | ||||
\(741\) | −0.719182 | + | 3.33437i | −0.0264198 | + | 0.122491i | ||||
\(742\) | −0.00502791 | + | 0.0154743i | −0.000184580 | + | 0.000568080i | ||||
\(743\) | 35.2482 | − | 20.3506i | 1.29313 | − | 0.746590i | 0.313923 | − | 0.949448i | \(-0.398357\pi\) |
0.979208 | + | 0.202859i | \(0.0650232\pi\) | |||||||
\(744\) | 0.133850 | − | 0.0975610i | 0.00490718 | − | 0.00357676i | ||||
\(745\) | 12.3319 | − | 21.3596i | 0.451807 | − | 0.782553i | ||||
\(746\) | 0.148179 | + | 0.0481464i | 0.00542523 | + | 0.00176276i | ||||
\(747\) | −0.259099 | + | 1.21897i | −0.00947995 | + | 0.0445997i | ||||
\(748\) | 3.26374 | + | 7.33048i | 0.119334 | + | 0.268029i | ||||
\(749\) | 21.7891i | 0.796155i | ||||||||
\(750\) | −0.0152318 | + | 0.0263822i | −0.000556185 | + | 0.000963341i | ||||
\(751\) | 1.53687 | − | 14.6224i | 0.0560813 | − | 0.533578i | −0.930029 | − | 0.367486i | \(-0.880219\pi\) |
0.986110 | − | 0.166092i | \(-0.0531148\pi\) | |||||||
\(752\) | −17.2641 | + | 38.7758i | −0.629558 | + | 1.41401i | ||||
\(753\) | −2.96561 | + | 2.15464i | −0.108073 | + | 0.0785195i | ||||
\(754\) | 0.0940454 | + | 0.449056i | 0.00342493 | + | 0.0163537i | ||||
\(755\) | −56.9472 | − | 41.3745i | −2.07252 | − | 1.50577i | ||||
\(756\) | −1.91108 | − | 8.99093i | −0.0695054 | − | 0.326997i | ||||
\(757\) | −24.2856 | + | 26.9719i | −0.882674 | + | 0.980309i | −0.999918 | − | 0.0127940i | \(-0.995927\pi\) |
0.117244 | + | 0.993103i | \(0.462594\pi\) | |||||||
\(758\) | −0.0684837 | − | 0.651579i | −0.00248744 | − | 0.0236664i | ||||
\(759\) | −1.90127 | + | 0.617759i | −0.0690116 | + | 0.0224232i | ||||
\(760\) | 0.455800 | − | 2.14437i | 0.0165336 | − | 0.0777845i | ||||
\(761\) | 47.1370 | − | 4.95430i | 1.70872 | − | 0.179593i | 0.800853 | − | 0.598861i | \(-0.204380\pi\) |
0.907863 | + | 0.419268i | \(0.137713\pi\) | |||||||
\(762\) | 0.0983750 | − | 0.0319640i | 0.00356375 | − | 0.00115793i | ||||
\(763\) | −45.5936 | − | 50.6368i | −1.65060 | − | 1.83318i | ||||
\(764\) | 2.44240 | − | 23.2379i | 0.0883629 | − | 0.840717i | ||||
\(765\) | −5.65180 | − | 26.5896i | −0.204341 | − | 0.961350i | ||||
\(766\) | −0.440410 | + | 0.319976i | −0.0159126 | + | 0.0115612i | ||||
\(767\) | −7.29386 | + | 16.2511i | −0.263366 | + | 0.586795i | ||||
\(768\) | 2.49342 | + | 1.81157i | 0.0899735 | + | 0.0653696i | ||||
\(769\) | 3.56801 | − | 2.05999i | 0.128666 | − | 0.0742852i | −0.434286 | − | 0.900775i | \(-0.642999\pi\) |
0.562951 | + | 0.826490i | \(0.309666\pi\) | |||||||
\(770\) | −0.286875 | − | 0.496883i | −0.0103383 | − | 0.0179064i | ||||
\(771\) | 2.84615 | − | 1.26719i | 0.102502 | − | 0.0456366i | ||||
\(772\) | −2.71870 | + | 0.883358i | −0.0978481 | + | 0.0317928i | ||||
\(773\) | −34.9198 | + | 31.4420i | −1.25598 | + | 1.13089i | −0.270206 | + | 0.962802i | \(0.587092\pi\) |
−0.985772 | + | 0.168086i | \(0.946241\pi\) | |||||||
\(774\) | 0.918661 | + | 0.530389i | 0.0330206 | + | 0.0190644i | ||||
\(775\) | 14.8918 | − | 13.4500i | 0.534930 | − | 0.483137i | ||||
\(776\) | −0.131337 | + | 0.227483i | −0.00471473 | + | 0.00816615i | ||||
\(777\) | −3.92349 | + | 0.833963i | −0.140754 | + | 0.0299183i | ||||
\(778\) | −0.121331 | − | 0.109247i | −0.00434992 | − | 0.00391668i | ||||
\(779\) | 46.7883 | + | 33.9937i | 1.67636 | + | 1.21795i | ||||
\(780\) | 3.54592 | + | 2.06142i | 0.126964 | + | 0.0738107i | ||||
\(781\) | 2.26865 | 0.0811788 | ||||||||
\(782\) | −0.957477 | − | 0.100635i | −0.0342393 | − | 0.00359870i | ||||
\(783\) | −3.50808 | − | 1.56190i | −0.125369 | − | 0.0558177i | ||||
\(784\) | 3.67209 | + | 34.9376i | 0.131146 | + | 1.24777i | ||||
\(785\) | −31.2569 | − | 10.1560i | −1.11561 | − | 0.362482i | ||||
\(786\) | 0.0194316 | + | 0.0436441i | 0.000693103 | + | 0.00155673i | ||||
\(787\) | −21.8567 | + | 19.6799i | −0.779107 | + | 0.701511i | −0.959384 | − | 0.282105i | \(-0.908967\pi\) |
0.180276 | + | 0.983616i | \(0.442301\pi\) | |||||||
\(788\) | −14.8283 | + | 4.81801i | −0.528237 | + | 0.171634i | ||||
\(789\) | 0.322381 | + | 3.06725i | 0.0114771 | + | 0.109197i | ||||
\(790\) | 0.434173 | − | 0.482198i | 0.0154472 | − | 0.0171558i | ||||
\(791\) | 12.5487 | + | 11.2989i | 0.446179 | + | 0.401741i | ||||
\(792\) | 0.471531 | − | 0.342587i | 0.0167551 | − | 0.0121733i | ||||
\(793\) | −9.89647 | + | 10.9252i | −0.351434 | + | 0.387965i | ||||
\(794\) | −0.235438 | + | 0.724604i | −0.00835539 | + | 0.0257152i | ||||
\(795\) | 0.0604350 | + | 0.00635198i | 0.00214341 | + | 0.000225281i | ||||
\(796\) | 41.5786 | − | 8.83781i | 1.47372 | − | 0.313248i | ||||
\(797\) | 3.73359 | + | 35.5227i | 0.132250 | + | 1.25828i | 0.836357 | + | 0.548185i | \(0.184681\pi\) |
−0.704107 | + | 0.710094i | \(0.748652\pi\) | |||||||
\(798\) | −0.0847490 | − | 0.116647i | −0.00300008 | − | 0.00412926i | ||||
\(799\) | 13.5320 | + | 30.3935i | 0.478729 | + | 1.07524i | ||||
\(800\) | −1.43458 | − | 0.828254i | −0.0507200 | − | 0.0292832i | ||||
\(801\) | 1.01334i | 0.0358045i | ||||||||
\(802\) | 0.606616 | − | 0.270083i | 0.0214204 | − | 0.00953696i | ||||
\(803\) | −2.34606 | + | 2.60556i | −0.0827906 | + | 0.0919483i | ||||
\(804\) | −0.755927 | − | 3.55636i | −0.0266595 | − | 0.125423i | ||||
\(805\) | −93.5955 | −3.29881 | ||||||||
\(806\) | −0.514164 | − | 0.572721i | −0.0181106 | − | 0.0201732i | ||||
\(807\) | −1.01707 | −0.0358025 | ||||||||
\(808\) | 0.478315 | + | 2.25030i | 0.0168271 | + | 0.0791651i | ||||
\(809\) | −6.63494 | + | 7.36885i | −0.233272 | + | 0.259075i | −0.848404 | − | 0.529349i | \(-0.822436\pi\) |
0.615132 | + | 0.788424i | \(0.289103\pi\) | |||||||
\(810\) | −0.889962 | + | 0.396236i | −0.0312701 | + | 0.0139223i | ||||
\(811\) | − | 12.3097i | − | 0.432252i | −0.976365 | − | 0.216126i | \(-0.930658\pi\) | ||
0.976365 | − | 0.216126i | \(-0.0693422\pi\) | |||||||
\(812\) | 22.8350 | + | 13.1838i | 0.801351 | + | 0.462660i | ||||
\(813\) | 0.330108 | + | 0.741435i | 0.0115774 | + | 0.0260033i | ||||
\(814\) | −0.150394 | − | 0.207000i | −0.00527131 | − | 0.00725533i | ||||
\(815\) | 3.40866 | + | 32.4313i | 0.119400 | + | 1.13602i | ||||
\(816\) | 2.36998 | − | 0.503755i | 0.0829658 | − | 0.0176349i | ||||
\(817\) | −45.2852 | − | 4.75966i | −1.58433 | − | 0.166520i | ||||
\(818\) | 0.371366 | − | 1.14295i | 0.0129845 | − | 0.0399623i | ||||
\(819\) | −40.4193 | + | 12.9994i | −1.41236 | + | 0.454235i | ||||
\(820\) | 56.2603 | − | 40.8755i | 1.96469 | − | 1.42743i | ||||
\(821\) | −35.8503 | − | 32.2798i | −1.25118 | − | 1.12657i | −0.986764 | − | 0.162165i | \(-0.948152\pi\) |
−0.264421 | − | 0.964407i | \(-0.585181\pi\) | |||||||
\(822\) | 0.0474413 | − | 0.0526889i | 0.00165470 | − | 0.00183773i | ||||
\(823\) | 3.57998 | + | 34.0613i | 0.124790 | + | 1.18730i | 0.860300 | + | 0.509787i | \(0.170276\pi\) |
−0.735510 | + | 0.677514i | \(0.763057\pi\) | |||||||
\(824\) | 0.263490 | − | 0.0856132i | 0.00917912 | − | 0.00298248i | ||||
\(825\) | −0.667045 | + | 0.600610i | −0.0232235 | + | 0.0209106i | ||||
\(826\) | −0.306251 | − | 0.687850i | −0.0106558 | − | 0.0239334i | ||||
\(827\) | 9.13883 | + | 2.96939i | 0.317788 | + | 0.103256i | 0.463568 | − | 0.886061i | \(-0.346569\pi\) |
−0.145780 | + | 0.989317i | \(0.546569\pi\) | |||||||
\(828\) | −4.96740 | − | 47.2616i | −0.172629 | − | 1.64245i | ||||
\(829\) | 6.97853 | + | 3.10704i | 0.242374 | + | 0.107912i | 0.524329 | − | 0.851516i | \(-0.324316\pi\) |
−0.281955 | + | 0.959428i | \(0.590983\pi\) | |||||||
\(830\) | 0.0470504 | + | 0.00494520i | 0.00163314 | + | 0.000171650i | ||||
\(831\) | 2.29981 | 0.0797794 | ||||||||
\(832\) | 14.4330 | − | 24.8268i | 0.500376 | − | 0.860715i | ||||
\(833\) | 22.2770 | + | 16.1852i | 0.771851 | + | 0.560782i | ||||
\(834\) | 0.0863102 | + | 0.0777140i | 0.00298868 | + | 0.00269102i | ||||
\(835\) | 50.2071 | − | 10.6719i | 1.73749 | − | 0.369315i | ||||
\(836\) | −6.25244 | + | 10.8295i | −0.216245 | + | 0.374548i | ||||
\(837\) | 6.40560 | − | 0.683165i | 0.221410 | − | 0.0236137i | ||||
\(838\) | −0.337223 | − | 0.194696i | −0.0116492 | − | 0.00672566i | ||||
\(839\) | 12.2581 | − | 11.0372i | 0.423196 | − | 0.381047i | −0.429835 | − | 0.902907i | \(-0.641428\pi\) |
0.853031 | + | 0.521860i | \(0.174762\pi\) | |||||||
\(840\) | −0.329896 | + | 0.107190i | −0.0113825 | + | 0.00369839i | ||||
\(841\) | −16.4295 | + | 7.31490i | −0.566536 | + | 0.252238i | ||||
\(842\) | 0.752636 | + | 1.30360i | 0.0259375 | + | 0.0449251i | ||||
\(843\) | −3.29529 | + | 1.90254i | −0.113496 | + | 0.0655269i | ||||
\(844\) | 26.6549 | + | 19.3659i | 0.917500 | + | 0.666603i | ||||
\(845\) | 15.7182 | − | 34.7423i | 0.540723 | − | 1.19517i | ||||
\(846\) | 0.977165 | − | 0.709952i | 0.0335956 | − | 0.0244087i | ||||
\(847\) | −7.72994 | − | 36.3665i | −0.265604 | − | 1.24957i | ||||
\(848\) | 0.0445391 | − | 0.423761i | 0.00152948 | − | 0.0145520i | ||||
\(849\) | −0.296917 | − | 0.329760i | −0.0101902 | − | 0.0113173i | ||||
\(850\) | −0.411117 | + | 0.133580i | −0.0141012 | + | 0.00458175i | ||||
\(851\) | −41.5105 | + | 4.36293i | −1.42296 | + | 0.149559i | ||||
\(852\) | 0.142529 | − | 0.670548i | 0.00488298 | − | 0.0229726i | ||||
\(853\) | 25.4385 | − | 8.26548i | 0.870999 | − | 0.283005i | 0.160784 | − | 0.986990i | \(-0.448598\pi\) |
0.710215 | + | 0.703985i | \(0.248598\pi\) | |||||||
\(854\) | −0.0651317 | − | 0.619687i | −0.00222876 | − | 0.0212053i | ||||
\(855\) | 28.3463 | − | 31.4817i | 0.969422 | − | 1.07665i | ||||
\(856\) | 0.174706 | + | 0.821928i | 0.00597133 | + | 0.0280929i | ||||
\(857\) | −31.2857 | − | 22.7304i | −1.06870 | − | 0.776456i | −0.0930219 | − | 0.995664i | \(-0.529653\pi\) |
−0.975678 | + | 0.219208i | \(0.929653\pi\) | |||||||
\(858\) | 0.0229598 | + | 0.0256535i | 0.000783835 | + | 0.000875796i | ||||
\(859\) | 16.6835 | − | 12.1213i | 0.569233 | − | 0.413572i | −0.265593 | − | 0.964085i | \(-0.585568\pi\) |
0.834827 | + | 0.550513i | \(0.185568\pi\) | |||||||
\(860\) | −22.2700 | + | 50.0192i | −0.759400 | + | 1.70564i | ||||
\(861\) | 0.956509 | − | 9.10057i | 0.0325977 | − | 0.310147i | ||||
\(862\) | −0.285846 | + | 0.495099i | −0.00973595 | + | 0.0168632i | ||||
\(863\) | 23.0936i | 0.786115i | 0.919514 | + | 0.393057i | \(0.128583\pi\) | ||||
−0.919514 | + | 0.393057i | \(0.871417\pi\) | |||||||
\(864\) | −0.216296 | − | 0.485809i | −0.00735855 | − | 0.0165276i | ||||
\(865\) | −11.2602 | + | 52.9750i | −0.382858 | + | 1.80121i | ||||
\(866\) | 0.788358 | + | 0.256153i | 0.0267895 | + | 0.00870443i | ||||
\(867\) | −0.699866 | + | 1.21220i | −0.0237687 | + | 0.0411686i | ||||
\(868\) | −44.2330 | + | 0.0676742i | −1.50136 | + | 0.00229701i | ||||
\(869\) | −6.41292 | + | 3.70250i | −0.217544 | + | 0.125599i | ||||
\(870\) | −0.0223822 | + | 0.0688852i | −0.000758826 | + | 0.00233543i | ||||
\(871\) | −32.1789 | + | 10.3491i | −1.09034 | + | 0.350667i | ||||
\(872\) | −2.12589 | − | 1.54455i | −0.0719918 | − | 0.0523051i | ||||
\(873\) | −4.39580 | + | 2.53792i | −0.148775 | + | 0.0858955i | ||||
\(874\) | −0.750173 | − | 1.29934i | −0.0253750 | − | 0.0439507i | ||||
\(875\) | 14.8697 | − | 6.62041i | 0.502687 | − | 0.223811i | ||||
\(876\) | 0.622736 | + | 0.857122i | 0.0210403 | + | 0.0289595i | ||||
\(877\) | 8.69020 | − | 0.913377i | 0.293447 | − | 0.0308426i | 0.0433390 | − | 0.999060i | \(-0.486200\pi\) |
0.250108 | + | 0.968218i | \(0.419534\pi\) | |||||||
\(878\) | −0.0623804 | + | 0.0561675i | −0.00210524 | + | 0.00189556i | ||||
\(879\) | −1.46001 | + | 2.00953i | −0.0492449 | + | 0.0677797i | ||||
\(880\) | 10.0539 | + | 11.1660i | 0.338918 | + | 0.376406i | ||||
\(881\) | −38.0638 | + | 42.2741i | −1.28240 | + | 1.42425i | −0.428734 | + | 0.903431i | \(0.641040\pi\) |
−0.853666 | + | 0.520820i | \(0.825626\pi\) | |||||||
\(882\) | 0.406604 | − | 0.913248i | 0.0136911 | − | 0.0307506i | ||||
\(883\) | 6.95561 | + | 21.4072i | 0.234075 | + | 0.720408i | 0.997243 | + | 0.0742079i | \(0.0236429\pi\) |
−0.763168 | + | 0.646200i | \(0.776357\pi\) | |||||||
\(884\) | −6.90181 | − | 21.4600i | −0.232133 | − | 0.721778i | ||||
\(885\) | −2.27505 | + | 1.65292i | −0.0764749 | + | 0.0555623i | ||||
\(886\) | 1.07794 | + | 0.970579i | 0.0362140 | + | 0.0326072i | ||||
\(887\) | 1.16378 | − | 0.247370i | 0.0390760 | − | 0.00830587i | −0.188332 | − | 0.982105i | \(-0.560308\pi\) |
0.227408 | + | 0.973800i | \(0.426975\pi\) | |||||||
\(888\) | −0.141315 | + | 0.0629176i | −0.00474223 | + | 0.00211138i | ||||
\(889\) | −52.5626 | − | 17.0786i | −1.76289 | − | 0.572799i | ||||
\(890\) | 0.0382587 | − | 0.00402115i | 0.00128243 | − | 0.000134789i | ||||
\(891\) | 11.0568 | − | 1.16212i | 0.370417 | − | 0.0389324i | ||||
\(892\) | −25.1383 | + | 34.5999i | −0.841693 | + | 1.15849i | ||||
\(893\) | −25.9237 | + | 44.9012i | −0.867504 | + | 1.50256i | ||||
\(894\) | −0.0312783 | − | 0.0541756i | −0.00104610 | − | 0.00181190i | ||||
\(895\) | −52.7153 | − | 5.54060i | −1.76208 | − | 0.185202i | ||||
\(896\) | 1.50430 | + | 4.62976i | 0.0502551 | + | 0.154669i | ||||
\(897\) | 5.49688 | − | 1.15121i | 0.183535 | − | 0.0384377i | ||||
\(898\) | 1.02463 | 0.0341924 | ||||||||
\(899\) | −10.8390 | + | 14.9667i | −0.361500 | + | 0.499166i | ||||
\(900\) | −10.6686 | − | 18.4786i | −0.355621 | − | 0.615954i | ||||
\(901\) | −0.223479 | − | 0.248198i | −0.00744516 | − | 0.00826869i | ||||
\(902\) | 0.555143 | − | 0.180377i | 0.0184842 | − | 0.00600589i | ||||
\(903\) | 2.93042 | + | 6.58183i | 0.0975182 | + | 0.219030i | ||||
\(904\) | 0.563956 | + | 0.325600i | 0.0187569 | + | 0.0108293i | ||||
\(905\) | 7.67256i | 0.255045i | ||||||||
\(906\) | −0.163101 | + | 0.0726171i | −0.00541866 | + | 0.00241254i | ||||
\(907\) | 13.7055 | + | 6.10206i | 0.455082 | + | 0.202616i | 0.621459 | − | 0.783447i | \(-0.286540\pi\) |
−0.166377 | + | 0.986062i | \(0.553207\pi\) | |||||||
\(908\) | 3.33056 | − | 7.48056i | 0.110529 | − | 0.248251i | ||||
\(909\) | −13.7375 | + | 42.2796i | −0.455644 | + | 1.40233i | ||||
\(910\) | 0.651186 | + | 1.47445i | 0.0215866 | + | 0.0488776i | ||||
\(911\) | −10.5752 | + | 32.5471i | −0.350372 | + | 1.07834i | 0.608272 | + | 0.793729i | \(0.291863\pi\) |
−0.958644 | + | 0.284606i | \(0.908137\pi\) | |||||||
\(912\) | 2.80602 | + | 2.52655i | 0.0929166 | + | 0.0836625i | ||||
\(913\) | −0.493234 | − | 0.219602i | −0.0163237 | − | 0.00726777i | ||||
\(914\) | 1.05852 | + | 0.224996i | 0.0350129 | + | 0.00744222i | ||||
\(915\) | −2.21327 | + | 0.719134i | −0.0731683 | + | 0.0237738i | ||||
\(916\) | −12.4806 | + | 1.31177i | −0.412372 | + | 0.0433420i | ||||
\(917\) | 5.30721 | − | 24.9685i | 0.175260 | − | 0.824531i | ||||
\(918\) | −0.131980 | − | 0.0428828i | −0.00435598 | − | 0.00141534i | ||||
\(919\) | −11.3930 | + | 5.07251i | −0.375822 | + | 0.167327i | −0.585950 | − | 0.810347i | \(-0.699279\pi\) |
0.210128 | + | 0.977674i | \(0.432612\pi\) | |||||||
\(920\) | −3.53061 | + | 0.750455i | −0.116401 | + | 0.0247418i | ||||
\(921\) | −0.195803 | + | 0.439782i | −0.00645194 | + | 0.0144913i | ||||
\(922\) | −0.628580 | + | 0.456690i | −0.0207012 | + | 0.0150403i | ||||
\(923\) | −6.33643 | − | 0.685172i | −0.208566 | − | 0.0225527i | ||||
\(924\) | 1.97858 | 0.0650906 | ||||||||
\(925\) | −16.2300 | + | 9.37039i | −0.533639 | + | 0.308097i | ||||
\(926\) | 0.0232901 | − | 0.221591i | 0.000765361 | − | 0.00728193i | ||||
\(927\) | 5.23664 | + | 1.11308i | 0.171994 | + | 0.0365584i | ||||
\(928\) | 1.45081 | + | 0.471398i | 0.0476253 | + | 0.0154744i | ||||
\(929\) | −22.4647 | − | 12.9700i | −0.737044 | − | 0.425532i | 0.0839499 | − | 0.996470i | \(-0.473246\pi\) |
−0.820993 | + | 0.570938i | \(0.806580\pi\) | |||||||
\(930\) | −0.0254442 | − | 0.118811i | −0.000834348 | − | 0.00389598i | ||||
\(931\) | 42.9117i | 1.40637i | ||||||||
\(932\) | −24.2224 | − | 26.9017i | −0.793431 | − | 0.881195i | ||||
\(933\) | −0.938111 | + | 1.04188i | −0.0307124 | + | 0.0341096i | ||||
\(934\) | 0.581377 | + | 0.0611052i | 0.0190232 | + | 0.00199942i | ||||
\(935\) | 11.7772 | 0.385157 | ||||||||
\(936\) | −1.42047 | + | 0.814447i | −0.0464295 | + | 0.0266210i | ||||
\(937\) | 11.7565 | + | 8.54161i | 0.384069 | + | 0.279042i | 0.763021 | − | 0.646374i | \(-0.223715\pi\) |
−0.378952 | + | 0.925416i | \(0.623715\pi\) | |||||||
\(938\) | 0.581147 | − | 1.30528i | 0.0189751 | − | 0.0426188i | ||||
\(939\) | −2.95872 | − | 1.31731i | −0.0965542 | − | 0.0429887i | ||||
\(940\) | 41.7160 | + | 46.3303i | 1.36063 | + | 1.51113i | ||||
\(941\) | −1.84004 | + | 2.53260i | −0.0599837 | + | 0.0825605i | −0.837955 | − | 0.545739i | \(-0.816249\pi\) |
0.777971 | + | 0.628300i | \(0.216249\pi\) | |||||||
\(942\) | −0.0619475 | + | 0.0557778i | −0.00201836 | + | 0.00181734i | ||||
\(943\) | 19.7974 | − | 93.1396i | 0.644693 | − | 3.03304i | ||||
\(944\) | 11.5900 | + | 15.9523i | 0.377223 | + | 0.519203i | ||||
\(945\) | −13.1961 | − | 2.80492i | −0.429270 | − | 0.0912441i | ||||
\(946\) | −0.307518 | + | 0.341534i | −0.00999829 | + | 0.0111042i | ||||
\(947\) | 20.7029 | − | 46.4995i | 0.672754 | − | 1.51103i | −0.177201 | − | 0.984175i | \(-0.556704\pi\) |
0.849955 | − | 0.526855i | \(-0.176629\pi\) | |||||||
\(948\) | 0.691457 | + | 2.12809i | 0.0224575 | + | 0.0691170i | ||||
\(949\) | 7.33954 | − | 6.56887i | 0.238252 | − | 0.213235i | ||||
\(950\) | −0.544996 | − | 0.395963i | −0.0176820 | − | 0.0128467i | ||||
\(951\) | 0.849502 | + | 3.99659i | 0.0275470 | + | 0.129598i | ||||
\(952\) | 1.74161 | + | 0.775416i | 0.0564460 | + | 0.0251314i | ||||
\(953\) | 3.05282 | + | 29.0456i | 0.0988905 | + | 0.940881i | 0.925664 | + | 0.378346i | \(0.123507\pi\) |
−0.826774 | + | 0.562535i | \(0.809826\pi\) | |||||||
\(954\) | −0.00712696 | + | 0.00980942i | −0.000230744 | + | 0.000317592i | ||||
\(955\) | −29.6998 | − | 17.1472i | −0.961064 | − | 0.554870i | ||||
\(956\) | 12.7600 | + | 7.36697i | 0.412687 | + | 0.238265i | ||||
\(957\) | 0.485861 | − | 0.668731i | 0.0157057 | − | 0.0216170i | ||||
\(958\) | −0.663738 | − | 0.141082i | −0.0214444 | − | 0.00455815i | ||||
\(959\) | −37.0546 | + | 7.87619i | −1.19655 | + | 0.254335i | ||||
\(960\) | 3.92620 | − | 2.26679i | 0.126717 | − | 0.0731604i | ||||
\(961\) | 3.14603 | − | 30.8399i | 0.101485 | − | 0.994837i | ||||
\(962\) | 0.357538 | + | 0.623578i | 0.0115275 | + | 0.0201050i | ||||
\(963\) | −5.01766 | + | 15.4428i | −0.161692 | + | 0.497637i | ||||
\(964\) | −21.4007 | − | 19.2693i | −0.689269 | − | 0.620621i | ||||
\(965\) | −0.438561 | + | 4.17263i | −0.0141178 | + | 0.134322i | ||||
\(966\) | −0.118696 | + | 0.205588i | −0.00381898 | + | 0.00661467i | ||||
\(967\) | − | 40.5225i | − | 1.30312i | −0.758599 | − | 0.651558i | \(-0.774116\pi\) | ||
0.758599 | − | 0.651558i | \(-0.225884\pi\) | |||||||
\(968\) | −0.583178 | − | 1.30984i | −0.0187441 | − | 0.0420998i | ||||
\(969\) | 2.94341 | − | 0.309365i | 0.0945559 | − | 0.00993823i | ||||
\(970\) | 0.113263 | + | 0.155893i | 0.00363665 | + | 0.00500542i | ||||
\(971\) | 20.9704 | + | 23.2900i | 0.672973 | + | 0.747413i | 0.978832 | − | 0.204664i | \(-0.0656103\pi\) |
−0.305859 | + | 0.952077i | \(0.598944\pi\) | |||||||
\(972\) | 1.07627 | − | 10.2400i | 0.0345213 | − | 0.328448i | ||||
\(973\) | −12.9021 | − | 60.6994i | −0.413621 | − | 1.94593i | ||||
\(974\) | 0.0728491 | + | 0.224207i | 0.00233424 | + | 0.00718404i | ||||
\(975\) | 2.04447 | − | 1.47606i | 0.0654755 | − | 0.0472719i | ||||
\(976\) | 5.04245 | + | 15.5191i | 0.161405 | + | 0.496753i | ||||
\(977\) | −34.5349 | − | 31.0953i | −1.10487 | − | 0.994828i | −1.00000 | 0.000341347i | \(-0.999891\pi\) | |
−0.104868 | − | 0.994486i | \(-0.533442\pi\) | |||||||
\(978\) | 0.0755598 | + | 0.0336414i | 0.00241614 | + | 0.00107573i | ||||
\(979\) | −0.429432 | − | 0.0912785i | −0.0137247 | − | 0.00291727i | ||||
\(980\) | 49.0734 | + | 15.9449i | 1.56759 | + | 0.509342i | ||||
\(981\) | −20.6532 | − | 46.3878i | −0.659405 | − | 1.48105i | ||||
\(982\) | 0.684530 | − | 0.616353i | 0.0218442 | − | 0.0196686i | ||||
\(983\) | 4.51365 | + | 6.21251i | 0.143963 | + | 0.198148i | 0.874909 | − | 0.484287i | \(-0.160921\pi\) |
−0.730946 | + | 0.682435i | \(0.760921\pi\) | |||||||
\(984\) | −0.0368875 | − | 0.350962i | −0.00117593 | − | 0.0111882i | ||||
\(985\) | −2.39200 | + | 22.7584i | −0.0762154 | + | 0.725141i | ||||
\(986\) | 0.344748 | − | 0.199040i | 0.0109790 | − | 0.00633873i | ||||
\(987\) | 8.20356 | 0.261122 | ||||||||
\(988\) | 20.7340 | − | 28.3590i | 0.659636 | − | 0.902219i | ||||
\(989\) | 23.1672 | + | 71.3014i | 0.736675 | + | 2.26725i | ||||
\(990\) | −0.0888961 | − | 0.418223i | −0.00282530 | − | 0.0132920i | ||||
\(991\) | −15.0765 | − | 26.1133i | −0.478922 | − | 0.829517i | 0.520786 | − | 0.853687i | \(-0.325639\pi\) |
−0.999708 | + | 0.0241702i | \(0.992306\pi\) | |||||||
\(992\) | −2.50233 | + | 0.535889i | −0.0794490 | + | 0.0170145i | ||||
\(993\) | 5.29974i | 0.168182i | ||||||||
\(994\) | 0.200203 | − | 0.180264i | 0.00635006 | − | 0.00571762i | ||||
\(995\) | 12.9714 | − | 61.0255i | 0.411220 | − | 1.93464i | ||||
\(996\) | −0.0958957 | + | 0.131989i | −0.00303857 | + | 0.00418223i | ||||
\(997\) | 4.55542 | − | 7.89021i | 0.144272 | − | 0.249886i | −0.784829 | − | 0.619712i | \(-0.787249\pi\) |
0.929101 | + | 0.369826i | \(0.120583\pi\) | |||||||
\(998\) | −0.481625 | − | 0.834199i | −0.0152456 | − | 0.0264061i | ||||
\(999\) | −5.98335 | − | 0.628875i | −0.189305 | − | 0.0198967i |
(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 | 403.2.bs.a.101.19 | yes | 288 | |
13.4 | even | 6 | inner | 403.2.bs.a.225.18 | yes | 288 | |
31.4 | even | 5 | inner | 403.2.bs.a.283.18 | yes | 288 | |
403.4 | even | 30 | inner | 403.2.bs.a.4.19 | ✓ | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.bs.a.4.19 | ✓ | 288 | 403.4 | even | 30 | inner | |
403.2.bs.a.101.19 | yes | 288 | 1.1 | even | 1 | trivial | |
403.2.bs.a.225.18 | yes | 288 | 13.4 | even | 6 | inner | |
403.2.bs.a.283.18 | yes | 288 | 31.4 | even | 5 | inner |