Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(2,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.x (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 32.2 | ||
Character | \(\chi\) | \(=\) | 105.32 |
Dual form | 105.2.x.a.23.2 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.17249 | − | 0.582118i | −1.53618 | − | 0.411619i | −0.611154 | − | 0.791512i | \(-0.709294\pi\) |
−0.925031 | + | 0.379893i | \(0.875961\pi\) | |||||||
\(3\) | −0.644934 | − | 1.60750i | −0.372353 | − | 0.928091i | ||||
\(4\) | 2.64881 | + | 1.52929i | 1.32441 | + | 0.764646i | ||||
\(5\) | 1.39781 | − | 1.74531i | 0.625120 | − | 0.780528i | ||||
\(6\) | 0.465359 | + | 3.86771i | 0.189982 | + | 1.57899i | ||||
\(7\) | −2.38227 | − | 1.15099i | −0.900414 | − | 0.435034i | ||||
\(8\) | −1.68355 | − | 1.68355i | −0.595223 | − | 0.595223i | ||||
\(9\) | −2.16812 | + | 2.07346i | −0.722707 | + | 0.691155i | ||||
\(10\) | −4.05271 | + | 2.97799i | −1.28158 | + | 0.941724i | ||||
\(11\) | −3.88729 | − | 2.24433i | −1.17206 | − | 0.676690i | −0.217896 | − | 0.975972i | \(-0.569919\pi\) |
−0.954165 | + | 0.299282i | \(0.903253\pi\) | |||||||
\(12\) | 0.750030 | − | 5.24426i | 0.216515 | − | 1.51389i | ||||
\(13\) | −1.08424 | + | 1.08424i | −0.300715 | + | 0.300715i | −0.841294 | − | 0.540578i | \(-0.818205\pi\) |
0.540578 | + | 0.841294i | \(0.318205\pi\) | |||||||
\(14\) | 4.50545 | + | 3.88729i | 1.20413 | + | 1.03892i | ||||
\(15\) | −3.70709 | − | 1.12137i | −0.957167 | − | 0.289537i | ||||
\(16\) | −0.381115 | − | 0.660111i | −0.0952788 | − | 0.165028i | ||||
\(17\) | 0.548929 | + | 2.04863i | 0.133135 | + | 0.496866i | 0.999999 | − | 0.00167924i | \(-0.000534519\pi\) |
−0.866864 | + | 0.498545i | \(0.833868\pi\) | |||||||
\(18\) | 5.91723 | − | 3.24248i | 1.39470 | − | 0.764261i | ||||
\(19\) | 3.66075 | − | 2.11354i | 0.839834 | − | 0.484878i | −0.0173737 | − | 0.999849i | \(-0.505531\pi\) |
0.857208 | + | 0.514971i | \(0.172197\pi\) | |||||||
\(20\) | 6.37164 | − | 2.48535i | 1.42474 | − | 0.555740i | ||||
\(21\) | −0.313815 | + | 4.57182i | −0.0684801 | + | 0.997652i | ||||
\(22\) | 7.13864 | + | 7.13864i | 1.52196 | + | 1.52196i | ||||
\(23\) | 0.840363 | − | 3.13628i | 0.175228 | − | 0.653959i | −0.821285 | − | 0.570518i | \(-0.806742\pi\) |
0.996513 | − | 0.0834407i | \(-0.0265909\pi\) | |||||||
\(24\) | −1.62053 | + | 3.79208i | −0.330788 | + | 0.774055i | ||||
\(25\) | −1.09225 | − | 4.87924i | −0.218449 | − | 0.975848i | ||||
\(26\) | 2.98667 | − | 1.72435i | 0.585734 | − | 0.338174i | ||||
\(27\) | 4.73139 | + | 2.14801i | 0.910557 | + | 0.413384i | ||||
\(28\) | −4.54998 | − | 6.69195i | −0.859866 | − | 1.26466i | ||||
\(29\) | 1.69118 | 0.314045 | 0.157023 | − | 0.987595i | \(-0.449810\pi\) | ||||
0.157023 | + | 0.987595i | \(0.449810\pi\) | |||||||
\(30\) | 7.40086 | + | 4.59413i | 1.35121 | + | 0.838770i | ||||
\(31\) | 0.530077 | − | 0.918121i | 0.0952047 | − | 0.164899i | −0.814489 | − | 0.580179i | \(-0.802983\pi\) |
0.909694 | + | 0.415279i | \(0.136316\pi\) | |||||||
\(32\) | 1.67615 | + | 6.25547i | 0.296304 | + | 1.10582i | ||||
\(33\) | −1.10071 | + | 7.69626i | −0.191610 | + | 1.33975i | ||||
\(34\) | − | 4.77017i | − | 0.818078i | ||||||
\(35\) | −5.33881 | + | 2.54894i | −0.902424 | + | 0.430850i | ||||
\(36\) | −8.91388 | + | 2.17653i | −1.48565 | + | 0.362755i | ||||
\(37\) | 1.54277 | − | 5.75771i | 0.253631 | − | 0.946562i | −0.715217 | − | 0.698903i | \(-0.753672\pi\) |
0.968847 | − | 0.247659i | \(-0.0796613\pi\) | |||||||
\(38\) | −9.18328 | + | 2.46065i | −1.48973 | + | 0.399171i | ||||
\(39\) | 2.44219 | + | 1.04366i | 0.391063 | + | 0.167119i | ||||
\(40\) | −5.29160 | + | 0.585037i | −0.836675 | + | 0.0925025i | ||||
\(41\) | − | 5.84230i | − | 0.912414i | −0.889874 | − | 0.456207i | \(-0.849208\pi\) | ||
0.889874 | − | 0.456207i | \(-0.150792\pi\) | |||||||
\(42\) | 3.34310 | − | 9.74956i | 0.515851 | − | 1.50439i | ||||
\(43\) | 2.00369 | − | 2.00369i | 0.305559 | − | 0.305559i | −0.537625 | − | 0.843184i | \(-0.680678\pi\) |
0.843184 | + | 0.537625i | \(0.180678\pi\) | |||||||
\(44\) | −6.86446 | − | 11.8896i | −1.03486 | − | 1.79242i | ||||
\(45\) | 0.588223 | + | 6.68236i | 0.0876872 | + | 0.996148i | ||||
\(46\) | −3.65136 | + | 6.32435i | −0.538364 | + | 0.932474i | ||||
\(47\) | −5.10030 | − | 1.36662i | −0.743956 | − | 0.199342i | −0.133120 | − | 0.991100i | \(-0.542500\pi\) |
−0.610835 | + | 0.791758i | \(0.709166\pi\) | |||||||
\(48\) | −0.815335 | + | 1.03837i | −0.117684 | + | 0.149876i | ||||
\(49\) | 4.35043 | + | 5.48395i | 0.621490 | + | 0.783422i | ||||
\(50\) | −0.467398 | + | 11.2359i | −0.0661001 | + | 1.58900i | ||||
\(51\) | 2.93915 | − | 2.20363i | 0.411564 | − | 0.308571i | ||||
\(52\) | −4.53008 | + | 1.21383i | −0.628210 | + | 0.168328i | ||||
\(53\) | 8.34677 | − | 2.23651i | 1.14652 | − | 0.307208i | 0.364949 | − | 0.931028i | \(-0.381087\pi\) |
0.781569 | + | 0.623819i | \(0.214420\pi\) | |||||||
\(54\) | −9.02852 | − | 7.42076i | −1.22863 | − | 1.00984i | ||||
\(55\) | −9.35075 | + | 3.64739i | −1.26085 | + | 0.491814i | ||||
\(56\) | 2.07291 | + | 5.94841i | 0.277005 | + | 0.794890i | ||||
\(57\) | −5.75846 | − | 4.52157i | −0.762726 | − | 0.598897i | ||||
\(58\) | −3.67409 | − | 0.984468i | −0.482431 | − | 0.129267i | ||||
\(59\) | 2.35137 | − | 4.07269i | 0.306122 | − | 0.530219i | −0.671389 | − | 0.741106i | \(-0.734302\pi\) |
0.977510 | + | 0.210887i | \(0.0676351\pi\) | |||||||
\(60\) | −8.10448 | − | 8.63953i | −1.04628 | − | 1.11536i | ||||
\(61\) | 3.88827 | + | 6.73469i | 0.497842 | + | 0.862288i | 0.999997 | − | 0.00248951i | \(-0.000792436\pi\) |
−0.502154 | + | 0.864778i | \(0.667459\pi\) | |||||||
\(62\) | −1.68604 | + | 1.68604i | −0.214128 | + | 0.214128i | ||||
\(63\) | 7.55159 | − | 2.44406i | 0.951411 | − | 0.307923i | ||||
\(64\) | − | 13.0412i | − | 1.63015i | ||||||
\(65\) | 0.376778 | + | 3.40792i | 0.0467335 | + | 0.422700i | ||||
\(66\) | 6.87142 | − | 16.0793i | 0.845813 | − | 1.97923i | ||||
\(67\) | 0.569614 | − | 0.152628i | 0.0695895 | − | 0.0186464i | −0.223856 | − | 0.974622i | \(-0.571865\pi\) |
0.293446 | + | 0.955976i | \(0.405198\pi\) | |||||||
\(68\) | −1.67894 | + | 6.26591i | −0.203602 | + | 0.759853i | ||||
\(69\) | −5.58355 | + | 0.671807i | −0.672180 | + | 0.0808761i | ||||
\(70\) | 13.0823 | − | 2.42974i | 1.56364 | − | 0.290409i | ||||
\(71\) | − | 4.66845i | − | 0.554043i | −0.960864 | − | 0.277022i | \(-0.910653\pi\) | ||
0.960864 | − | 0.277022i | \(-0.0893473\pi\) | |||||||
\(72\) | 7.14090 | + | 0.159358i | 0.841563 | + | 0.0187805i | ||||
\(73\) | 1.13085 | + | 4.22038i | 0.132356 | + | 0.493958i | 0.999995 | − | 0.00323633i | \(-0.00103016\pi\) |
−0.867639 | + | 0.497195i | \(0.834363\pi\) | |||||||
\(74\) | −6.70333 | + | 11.6105i | −0.779246 | + | 1.34969i | ||||
\(75\) | −7.13896 | + | 4.90257i | −0.824336 | + | 0.566101i | ||||
\(76\) | 12.9289 | 1.48304 | ||||||||
\(77\) | 6.67736 | + | 9.82083i | 0.760956 | + | 1.11919i | ||||
\(78\) | −4.69811 | − | 3.68898i | −0.531956 | − | 0.417695i | ||||
\(79\) | −5.78361 | + | 3.33917i | −0.650707 | + | 0.375686i | −0.788727 | − | 0.614743i | \(-0.789260\pi\) |
0.138020 | + | 0.990429i | \(0.455926\pi\) | |||||||
\(80\) | −1.68483 | − | 0.257545i | −0.188370 | − | 0.0287944i | ||||
\(81\) | 0.401491 | − | 8.99104i | 0.0446102 | − | 0.999004i | ||||
\(82\) | −3.40091 | + | 12.6924i | −0.375567 | + | 1.40164i | ||||
\(83\) | 11.0713 | + | 11.0713i | 1.21523 | + | 1.21523i | 0.969283 | + | 0.245948i | \(0.0790991\pi\) |
0.245948 | + | 0.969283i | \(0.420901\pi\) | |||||||
\(84\) | −7.82288 | + | 11.6300i | −0.853547 | + | 1.26893i | ||||
\(85\) | 4.34280 | + | 1.90555i | 0.471043 | + | 0.206685i | ||||
\(86\) | −5.51938 | + | 3.18661i | −0.595170 | + | 0.343621i | ||||
\(87\) | −1.09070 | − | 2.71858i | −0.116936 | − | 0.291462i | ||||
\(88\) | 2.76600 | + | 10.3228i | 0.294856 | + | 1.10042i | ||||
\(89\) | 1.75680 | + | 3.04287i | 0.186221 | + | 0.322544i | 0.943987 | − | 0.329982i | \(-0.107043\pi\) |
−0.757766 | + | 0.652526i | \(0.773709\pi\) | |||||||
\(90\) | 2.61201 | − | 14.8598i | 0.275330 | − | 1.56636i | ||||
\(91\) | 3.83092 | − | 1.33501i | 0.401590 | − | 0.139947i | ||||
\(92\) | 7.02225 | − | 7.02225i | 0.732120 | − | 0.732120i | ||||
\(93\) | −1.81775 | − | 0.259973i | −0.188491 | − | 0.0269579i | ||||
\(94\) | 10.2848 | + | 5.93795i | 1.06080 | + | 0.612453i | ||||
\(95\) | 1.42826 | − | 9.34349i | 0.146536 | − | 0.958622i | ||||
\(96\) | 8.97468 | − | 6.72878i | 0.915974 | − | 0.686753i | ||||
\(97\) | −5.60466 | − | 5.60466i | −0.569067 | − | 0.569067i | 0.362800 | − | 0.931867i | \(-0.381821\pi\) |
−0.931867 | + | 0.362800i | \(0.881821\pi\) | |||||||
\(98\) | −6.25897 | − | 14.4463i | −0.632251 | − | 1.45930i | ||||
\(99\) | 13.0816 | − | 3.19418i | 1.31475 | − | 0.321027i | ||||
\(100\) | 4.56863 | − | 14.5946i | 0.456863 | − | 1.45946i | ||||
\(101\) | 11.4573 | + | 6.61487i | 1.14004 | + | 0.658204i | 0.946441 | − | 0.322877i | \(-0.104650\pi\) |
0.193601 | + | 0.981080i | \(0.437983\pi\) | |||||||
\(102\) | −7.66806 | + | 3.07645i | −0.759251 | + | 0.304614i | ||||
\(103\) | 3.40231 | + | 0.911647i | 0.335240 | + | 0.0898273i | 0.422512 | − | 0.906357i | \(-0.361148\pi\) |
−0.0872723 | + | 0.996184i | \(0.527815\pi\) | |||||||
\(104\) | 3.65075 | 0.357985 | ||||||||
\(105\) | 7.54061 | + | 6.93825i | 0.735888 | + | 0.677104i | ||||
\(106\) | −19.4352 | −1.88771 | ||||||||
\(107\) | −8.98539 | − | 2.40763i | −0.868651 | − | 0.232754i | −0.203146 | − | 0.979148i | \(-0.565117\pi\) |
−0.665504 | + | 0.746394i | \(0.731783\pi\) | |||||||
\(108\) | 9.24763 | + | 12.9253i | 0.889854 | + | 1.24374i | ||||
\(109\) | −16.3639 | − | 9.44773i | −1.56738 | − | 0.904928i | −0.996473 | − | 0.0839152i | \(-0.973258\pi\) |
−0.570909 | − | 0.821013i | \(-0.693409\pi\) | |||||||
\(110\) | 22.4376 | − | 2.48070i | 2.13934 | − | 0.236525i | ||||
\(111\) | −10.2505 | + | 1.23333i | −0.972936 | + | 0.117063i | ||||
\(112\) | 0.148137 | + | 2.01122i | 0.0139976 | + | 0.190043i | ||||
\(113\) | −8.67219 | − | 8.67219i | −0.815811 | − | 0.815811i | 0.169687 | − | 0.985498i | \(-0.445724\pi\) |
−0.985498 | + | 0.169687i | \(0.945724\pi\) | |||||||
\(114\) | 9.87811 | + | 13.1752i | 0.925170 | + | 1.23397i | ||||
\(115\) | −4.29912 | − | 5.85062i | −0.400895 | − | 0.545573i | ||||
\(116\) | 4.47963 | + | 2.58632i | 0.415923 | + | 0.240133i | ||||
\(117\) | 0.102630 | − | 4.59891i | 0.00948817 | − | 0.425170i | ||||
\(118\) | −7.47911 | + | 7.47911i | −0.688508 | + | 0.688508i | ||||
\(119\) | 1.05026 | − | 5.51221i | 0.0962774 | − | 0.505303i | ||||
\(120\) | 4.35318 | + | 8.12894i | 0.397389 | + | 0.742067i | ||||
\(121\) | 4.57399 | + | 7.92239i | 0.415818 | + | 0.720217i | ||||
\(122\) | −4.52687 | − | 16.8945i | −0.409843 | − | 1.52956i | ||||
\(123\) | −9.39151 | + | 3.76790i | −0.846804 | + | 0.339740i | ||||
\(124\) | 2.80815 | − | 1.62129i | 0.252179 | − | 0.145596i | ||||
\(125\) | −10.0426 | − | 4.91395i | −0.898234 | − | 0.439517i | ||||
\(126\) | −17.8285 | + | 0.913792i | −1.58829 | + | 0.0814070i | ||||
\(127\) | 6.12576 | + | 6.12576i | 0.543573 | + | 0.543573i | 0.924574 | − | 0.381001i | \(-0.124421\pi\) |
−0.381001 | + | 0.924574i | \(0.624421\pi\) | |||||||
\(128\) | −4.23923 | + | 15.8210i | −0.374698 | + | 1.39839i | ||||
\(129\) | −4.51317 | − | 1.92868i | −0.397363 | − | 0.169811i | ||||
\(130\) | 1.16526 | − | 7.62300i | 0.102200 | − | 0.668581i | ||||
\(131\) | −15.1848 | + | 8.76695i | −1.32670 | + | 0.765972i | −0.984788 | − | 0.173759i | \(-0.944409\pi\) |
−0.341915 | + | 0.939731i | \(0.611075\pi\) | |||||||
\(132\) | −14.6854 | + | 18.7026i | −1.27820 | + | 1.62785i | ||||
\(133\) | −11.1536 | + | 0.821516i | −0.967137 | + | 0.0712344i | ||||
\(134\) | −1.32633 | −0.114578 | ||||||||
\(135\) | 10.3625 | − | 5.25525i | 0.891866 | − | 0.452300i | ||||
\(136\) | 2.52482 | − | 4.37311i | 0.216501 | − | 0.374991i | ||||
\(137\) | 1.39894 | + | 5.22093i | 0.119520 | + | 0.446054i | 0.999585 | − | 0.0287983i | \(-0.00916806\pi\) |
−0.880065 | + | 0.474853i | \(0.842501\pi\) | |||||||
\(138\) | 12.5213 | + | 1.79078i | 1.06588 | + | 0.152442i | ||||
\(139\) | 6.37838i | 0.541007i | 0.962719 | + | 0.270504i | \(0.0871902\pi\) | ||||
−0.962719 | + | 0.270504i | \(0.912810\pi\) | |||||||
\(140\) | −18.0396 | − | 1.41294i | −1.52462 | − | 0.119415i | ||||
\(141\) | 1.09251 | + | 9.08012i | 0.0920061 | + | 0.764684i | ||||
\(142\) | −2.71759 | + | 10.1422i | −0.228055 | + | 0.851112i | ||||
\(143\) | 6.64816 | − | 1.78137i | 0.555947 | − | 0.148966i | ||||
\(144\) | 2.19502 | + | 0.640971i | 0.182918 | + | 0.0534143i | ||||
\(145\) | 2.36396 | − | 2.95165i | 0.196316 | − | 0.245121i | ||||
\(146\) | − | 9.82703i | − | 0.813291i | ||||||
\(147\) | 6.00972 | − | 10.5301i | 0.495674 | − | 0.868509i | ||||
\(148\) | 12.8917 | − | 12.8917i | 1.05969 | − | 1.05969i | ||||
\(149\) | 5.54298 | + | 9.60071i | 0.454098 | + | 0.786521i | 0.998636 | − | 0.0522152i | \(-0.0166282\pi\) |
−0.544538 | + | 0.838736i | \(0.683295\pi\) | |||||||
\(150\) | 18.3632 | − | 6.49509i | 1.49935 | − | 0.530322i | ||||
\(151\) | 5.27465 | − | 9.13596i | 0.429245 | − | 0.743474i | −0.567562 | − | 0.823331i | \(-0.692113\pi\) |
0.996806 | + | 0.0798574i | \(0.0254465\pi\) | |||||||
\(152\) | −9.72128 | − | 2.60481i | −0.788500 | − | 0.211278i | ||||
\(153\) | −5.43791 | − | 3.30349i | −0.439629 | − | 0.267072i | ||||
\(154\) | −8.78965 | − | 25.2227i | −0.708290 | − | 2.03250i | ||||
\(155\) | −0.861461 | − | 2.20851i | −0.0691942 | − | 0.177392i | ||||
\(156\) | 4.87284 | + | 6.49927i | 0.390140 | + | 0.520358i | ||||
\(157\) | −3.21905 | + | 0.862542i | −0.256908 | + | 0.0688383i | −0.384974 | − | 0.922927i | \(-0.625790\pi\) |
0.128066 | + | 0.991766i | \(0.459123\pi\) | |||||||
\(158\) | 14.5086 | − | 3.88758i | 1.15425 | − | 0.309279i | ||||
\(159\) | −8.97831 | − | 11.9750i | −0.712026 | − | 0.949683i | ||||
\(160\) | 13.2607 | + | 5.81857i | 1.04835 | + | 0.459998i | ||||
\(161\) | −5.61180 | + | 6.50421i | −0.442272 | + | 0.512603i | ||||
\(162\) | −6.10608 | + | 19.2993i | −0.479739 | + | 1.51629i | ||||
\(163\) | 6.89910 | + | 1.84861i | 0.540379 | + | 0.144794i | 0.518677 | − | 0.854970i | \(-0.326425\pi\) |
0.0217024 | + | 0.999764i | \(0.493091\pi\) | |||||||
\(164\) | 8.93459 | − | 15.4752i | 0.697674 | − | 1.20841i | ||||
\(165\) | 11.8938 | + | 12.6790i | 0.925931 | + | 0.987060i | ||||
\(166\) | −17.6075 | − | 30.4971i | −1.36661 | − | 2.36703i | ||||
\(167\) | 11.9043 | − | 11.9043i | 0.921184 | − | 0.921184i | −0.0759296 | − | 0.997113i | \(-0.524192\pi\) |
0.997113 | + | 0.0759296i | \(0.0241924\pi\) | |||||||
\(168\) | 8.22519 | − | 7.16854i | 0.634587 | − | 0.553065i | ||||
\(169\) | 10.6488i | 0.819141i | ||||||||
\(170\) | −8.32545 | − | 6.66781i | −0.638533 | − | 0.511397i | ||||
\(171\) | −3.55461 | + | 12.1728i | −0.271828 | + | 0.930880i | ||||
\(172\) | 8.37161 | − | 2.24317i | 0.638329 | − | 0.171040i | ||||
\(173\) | 0.0162650 | − | 0.0607017i | 0.00123660 | − | 0.00461507i | −0.965305 | − | 0.261126i | \(-0.915906\pi\) |
0.966541 | + | 0.256511i | \(0.0825729\pi\) | |||||||
\(174\) | 0.787009 | + | 6.54101i | 0.0596630 | + | 0.495873i | ||||
\(175\) | −3.01395 | + | 12.8808i | −0.227833 | + | 0.973700i | ||||
\(176\) | 3.42139i | 0.257897i | ||||||||
\(177\) | −8.06333 | − | 1.15321i | −0.606077 | − | 0.0866807i | ||||
\(178\) | −2.04533 | − | 7.63328i | −0.153304 | − | 0.572139i | ||||
\(179\) | −9.95768 | + | 17.2472i | −0.744272 | + | 1.28912i | 0.206263 | + | 0.978497i | \(0.433870\pi\) |
−0.950534 | + | 0.310620i | \(0.899463\pi\) | |||||||
\(180\) | −8.66119 | + | 18.5999i | −0.645567 | + | 1.38635i | ||||
\(181\) | 13.0871 | 0.972754 | 0.486377 | − | 0.873749i | \(-0.338318\pi\) | ||||
0.486377 | + | 0.873749i | \(0.338318\pi\) | |||||||
\(182\) | −9.09978 | + | 0.670244i | −0.674520 | + | 0.0496818i | ||||
\(183\) | 8.31834 | − | 10.5938i | 0.614909 | − | 0.783119i | ||||
\(184\) | −6.69485 | + | 3.86528i | −0.493551 | + | 0.284952i | ||||
\(185\) | −7.89251 | − | 10.7408i | −0.580269 | − | 0.789681i | ||||
\(186\) | 3.79770 | + | 1.62293i | 0.278461 | + | 0.118999i | ||||
\(187\) | 2.46395 | − | 9.19559i | 0.180182 | − | 0.672448i | ||||
\(188\) | −11.4198 | − | 11.4198i | −0.832873 | − | 0.832873i | ||||
\(189\) | −8.79911 | − | 10.5629i | −0.640041 | − | 0.768341i | ||||
\(190\) | −8.54189 | + | 19.4672i | −0.619694 | + | 1.41230i | ||||
\(191\) | 10.0091 | − | 5.77878i | 0.724236 | − | 0.418138i | −0.0920740 | − | 0.995752i | \(-0.529350\pi\) |
0.816310 | + | 0.577615i | \(0.196016\pi\) | |||||||
\(192\) | −20.9638 | + | 8.41073i | −1.51293 | + | 0.606992i | ||||
\(193\) | 3.64257 | + | 13.5943i | 0.262198 | + | 0.978536i | 0.963943 | + | 0.266108i | \(0.0857378\pi\) |
−0.701745 | + | 0.712428i | \(0.747595\pi\) | |||||||
\(194\) | 8.91351 | + | 15.4387i | 0.639953 | + | 1.10843i | ||||
\(195\) | 5.23523 | − | 2.80355i | 0.374903 | − | 0.200766i | ||||
\(196\) | 3.13690 | + | 21.1790i | 0.224064 | + | 1.51279i | ||||
\(197\) | 17.3744 | − | 17.3744i | 1.23787 | − | 1.23787i | 0.277006 | − | 0.960868i | \(-0.410658\pi\) |
0.960868 | − | 0.277006i | \(-0.0893423\pi\) | |||||||
\(198\) | −30.2791 | − | 0.675715i | −2.15184 | − | 0.0480210i | ||||
\(199\) | 12.5236 | + | 7.23048i | 0.887771 | + | 0.512555i | 0.873213 | − | 0.487339i | \(-0.162032\pi\) |
0.0145585 | + | 0.999894i | \(0.495366\pi\) | |||||||
\(200\) | −6.37558 | + | 10.0533i | −0.450822 | + | 0.710874i | ||||
\(201\) | −0.612713 | − | 0.817221i | −0.0432174 | − | 0.0576423i | ||||
\(202\) | −21.0402 | − | 21.0402i | −1.48039 | − | 1.48039i | ||||
\(203\) | −4.02886 | − | 1.94654i | −0.282771 | − | 0.136620i | ||||
\(204\) | 11.1553 | − | 1.34219i | 0.781025 | − | 0.0939722i | ||||
\(205\) | −10.1967 | − | 8.16644i | −0.712165 | − | 0.570369i | ||||
\(206\) | −6.86081 | − | 3.96109i | −0.478016 | − | 0.275982i | ||||
\(207\) | 4.68095 | + | 8.54229i | 0.325349 | + | 0.593730i | ||||
\(208\) | 1.12894 | + | 0.302500i | 0.0782782 | + | 0.0209746i | ||||
\(209\) | −18.9739 | −1.31245 | ||||||||
\(210\) | −12.3430 | − | 19.4628i | −0.851750 | − | 1.34306i | ||||
\(211\) | −12.6498 | −0.870850 | −0.435425 | − | 0.900225i | \(-0.643402\pi\) | ||||
−0.435425 | + | 0.900225i | \(0.643402\pi\) | |||||||
\(212\) | 25.5293 | + | 6.84056i | 1.75336 | + | 0.469811i | ||||
\(213\) | −7.50454 | + | 3.01084i | −0.514203 | + | 0.206299i | ||||
\(214\) | 18.1192 | + | 10.4611i | 1.23860 | + | 0.715107i | ||||
\(215\) | −0.696287 | − | 6.29784i | −0.0474864 | − | 0.429509i | ||||
\(216\) | −4.34924 | − | 11.5818i | −0.295928 | − | 0.788041i | ||||
\(217\) | −2.31954 | + | 1.57710i | −0.157461 | + | 0.107060i | ||||
\(218\) | 30.0509 | + | 30.0509i | 2.03530 | + | 2.03530i | ||||
\(219\) | 6.05495 | − | 4.53971i | 0.409155 | − | 0.306765i | ||||
\(220\) | −30.3463 | − | 4.63877i | −2.04595 | − | 0.312746i | ||||
\(221\) | −2.81639 | − | 1.62604i | −0.189451 | − | 0.109379i | ||||
\(222\) | 22.9871 | + | 3.28760i | 1.54279 | + | 0.220649i | ||||
\(223\) | 14.9882 | − | 14.9882i | 1.00368 | − | 1.00368i | 0.00368996 | − | 0.999993i | \(-0.498825\pi\) |
0.999993 | − | 0.00368996i | \(-0.00117455\pi\) | |||||||
\(224\) | 3.20697 | − | 16.8315i | 0.214274 | − | 1.12460i | ||||
\(225\) | 12.4851 | + | 8.31405i | 0.832337 | + | 0.554270i | ||||
\(226\) | 13.7920 | + | 23.8885i | 0.917432 | + | 1.58904i | ||||
\(227\) | 3.93292 | + | 14.6779i | 0.261037 | + | 0.974203i | 0.964632 | + | 0.263602i | \(0.0849105\pi\) |
−0.703595 | + | 0.710602i | \(0.748423\pi\) | |||||||
\(228\) | −8.33826 | − | 20.7832i | −0.552215 | − | 1.37640i | ||||
\(229\) | 9.62472 | − | 5.55684i | 0.636020 | − | 0.367206i | −0.147060 | − | 0.989128i | \(-0.546981\pi\) |
0.783080 | + | 0.621922i | \(0.213648\pi\) | |||||||
\(230\) | 5.93406 | + | 15.2130i | 0.391280 | + | 1.00312i | ||||
\(231\) | 11.4805 | − | 17.0677i | 0.755364 | − | 1.12297i | ||||
\(232\) | −2.84719 | − | 2.84719i | −0.186927 | − | 0.186927i | ||||
\(233\) | 2.39799 | − | 8.94940i | 0.157097 | − | 0.586295i | −0.841819 | − | 0.539759i | \(-0.818515\pi\) |
0.998917 | − | 0.0465356i | \(-0.0148181\pi\) | |||||||
\(234\) | −2.90007 | + | 9.93136i | −0.189584 | + | 0.649233i | ||||
\(235\) | −9.51445 | + | 6.99135i | −0.620654 | + | 0.456065i | ||||
\(236\) | 12.4567 | − | 7.19186i | 0.810859 | − | 0.468150i | ||||
\(237\) | 9.09777 | + | 7.14362i | 0.590964 | + | 0.464028i | ||||
\(238\) | −5.49044 | + | 11.3638i | −0.355892 | + | 0.736609i | ||||
\(239\) | −24.2150 | −1.56634 | −0.783168 | − | 0.621810i | \(-0.786398\pi\) | ||||
−0.783168 | + | 0.621810i | \(0.786398\pi\) | |||||||
\(240\) | 0.672600 | + | 2.87446i | 0.0434161 | + | 0.185546i | ||||
\(241\) | 5.06343 | − | 8.77012i | 0.326164 | − | 0.564933i | −0.655583 | − | 0.755123i | \(-0.727577\pi\) |
0.981747 | + | 0.190190i | \(0.0609105\pi\) | |||||||
\(242\) | −5.32520 | − | 19.8739i | −0.342317 | − | 1.27754i | ||||
\(243\) | −14.7120 | + | 5.15323i | −0.943778 | + | 0.330580i | ||||
\(244\) | 23.7852i | 1.52269i | ||||||||
\(245\) | 15.6523 | + | 0.0726678i | 0.999989 | + | 0.00464258i | ||||
\(246\) | 22.5963 | − | 2.71877i | 1.44069 | − | 0.173342i | ||||
\(247\) | −1.67756 | + | 6.26074i | −0.106741 | + | 0.398361i | ||||
\(248\) | −2.43811 | + | 0.653289i | −0.154820 | + | 0.0414839i | ||||
\(249\) | 10.6569 | − | 24.9373i | 0.675350 | − | 1.58034i | ||||
\(250\) | 18.9569 | + | 16.5215i | 1.19894 | + | 1.04491i | ||||
\(251\) | 21.7383i | 1.37211i | 0.727551 | + | 0.686054i | \(0.240658\pi\) | ||||
−0.727551 | + | 0.686054i | \(0.759342\pi\) | |||||||
\(252\) | 23.7404 | + | 5.07473i | 1.49551 | + | 0.319678i | ||||
\(253\) | −10.3056 | + | 10.3056i | −0.647905 | + | 0.647905i | ||||
\(254\) | −9.74225 | − | 16.8741i | −0.611283 | − | 1.05877i | ||||
\(255\) | 0.262346 | − | 8.21001i | 0.0164287 | − | 0.514131i | ||||
\(256\) | 5.37816 | − | 9.31524i | 0.336135 | − | 0.582202i | ||||
\(257\) | 3.08191 | + | 0.825796i | 0.192244 | + | 0.0515117i | 0.353657 | − | 0.935375i | \(-0.384938\pi\) |
−0.161412 | + | 0.986887i | \(0.551605\pi\) | |||||||
\(258\) | 8.68212 | + | 6.81725i | 0.540525 | + | 0.424423i | ||||
\(259\) | −10.3024 | + | 11.9407i | −0.640160 | + | 0.741959i | ||||
\(260\) | −4.21369 | + | 9.60313i | −0.261322 | + | 0.595561i | ||||
\(261\) | −3.66669 | + | 3.50661i | −0.226963 | + | 0.217054i | ||||
\(262\) | 38.0923 | − | 10.2068i | 2.35335 | − | 0.630578i | ||||
\(263\) | −26.4411 | + | 7.08487i | −1.63043 | + | 0.436872i | −0.954041 | − | 0.299675i | \(-0.903122\pi\) |
−0.676387 | + | 0.736547i | \(0.736455\pi\) | |||||||
\(264\) | 14.8101 | − | 11.1039i | 0.911499 | − | 0.683398i | ||||
\(265\) | 7.76380 | − | 17.6940i | 0.476927 | − | 1.08693i | ||||
\(266\) | 24.7093 | + | 4.70795i | 1.51502 | + | 0.288663i | ||||
\(267\) | 3.75840 | − | 4.78651i | 0.230010 | − | 0.292930i | ||||
\(268\) | 1.74221 | + | 0.466825i | 0.106423 | + | 0.0285159i | ||||
\(269\) | 2.40139 | − | 4.15933i | 0.146415 | − | 0.253599i | −0.783485 | − | 0.621411i | \(-0.786560\pi\) |
0.929900 | + | 0.367812i | \(0.119893\pi\) | |||||||
\(270\) | −25.5717 | + | 5.38478i | −1.55625 | + | 0.327707i | ||||
\(271\) | −3.25232 | − | 5.63318i | −0.197564 | − | 0.342191i | 0.750174 | − | 0.661241i | \(-0.229970\pi\) |
−0.947738 | + | 0.319049i | \(0.896636\pi\) | |||||||
\(272\) | 1.14312 | − | 1.14312i | 0.0693117 | − | 0.0693117i | ||||
\(273\) | −4.61671 | − | 5.29722i | −0.279416 | − | 0.320602i | ||||
\(274\) | − | 12.1568i | − | 0.734418i | ||||||
\(275\) | −6.70474 | + | 21.4184i | −0.404311 | + | 1.29158i | ||||
\(276\) | −15.8172 | − | 6.75938i | −0.952081 | − | 0.406867i | ||||
\(277\) | 1.18369 | − | 0.317168i | 0.0711210 | − | 0.0190568i | −0.223083 | − | 0.974799i | \(-0.571612\pi\) |
0.294204 | + | 0.955743i | \(0.404945\pi\) | |||||||
\(278\) | 3.71297 | − | 13.8570i | 0.222689 | − | 0.831087i | ||||
\(279\) | 0.754419 | + | 3.08969i | 0.0451659 | + | 0.184975i | ||||
\(280\) | 13.2794 | + | 4.69687i | 0.793595 | + | 0.280692i | ||||
\(281\) | − | 12.8585i | − | 0.767073i | −0.923526 | − | 0.383537i | \(-0.874706\pi\) | ||
0.923526 | − | 0.383537i | \(-0.125294\pi\) | |||||||
\(282\) | 2.91223 | − | 20.3625i | 0.173420 | − | 1.21257i | ||||
\(283\) | −0.376029 | − | 1.40336i | −0.0223526 | − | 0.0834209i | 0.953849 | − | 0.300288i | \(-0.0970828\pi\) |
−0.976201 | + | 0.216867i | \(0.930416\pi\) | |||||||
\(284\) | 7.13942 | − | 12.3658i | 0.423647 | − | 0.733778i | ||||
\(285\) | −15.9408 | + | 3.73001i | −0.944252 | + | 0.220947i | ||||
\(286\) | −15.4801 | −0.915355 | ||||||||
\(287\) | −6.72445 | + | 13.9179i | −0.396932 | + | 0.821550i | ||||
\(288\) | −16.6046 | − | 10.0872i | −0.978435 | − | 0.594393i | ||||
\(289\) | 10.8269 | − | 6.25090i | 0.636875 | − | 0.367700i | ||||
\(290\) | −6.85389 | + | 5.03633i | −0.402474 | + | 0.295744i | ||||
\(291\) | −5.39486 | + | 12.6241i | −0.316253 | + | 0.740040i | ||||
\(292\) | −3.45879 | + | 12.9084i | −0.202411 | + | 0.755407i | ||||
\(293\) | −1.33304 | − | 1.33304i | −0.0778769 | − | 0.0778769i | 0.667095 | − | 0.744972i | \(-0.267537\pi\) |
−0.744972 | + | 0.667095i | \(0.767537\pi\) | |||||||
\(294\) | −19.1858 | + | 19.3782i | −1.11894 | + | 1.13016i | ||||
\(295\) | −3.82135 | − | 9.79673i | −0.222488 | − | 0.570387i | ||||
\(296\) | −12.2907 | + | 7.09604i | −0.714383 | + | 0.412449i | ||||
\(297\) | −13.5714 | − | 18.9687i | −0.787495 | − | 1.10068i | ||||
\(298\) | −6.45333 | − | 24.0841i | −0.373831 | − | 1.39516i | ||||
\(299\) | 2.48933 | + | 4.31165i | 0.143962 | + | 0.249349i | ||||
\(300\) | −26.4072 | + | 2.06844i | −1.52462 | + | 0.119421i | ||||
\(301\) | −7.07955 | + | 2.46710i | −0.408059 | + | 0.142201i | ||||
\(302\) | −16.7773 | + | 16.7773i | −0.965427 | + | 0.965427i | ||||
\(303\) | 3.24421 | − | 22.6837i | 0.186375 | − | 1.30315i | ||||
\(304\) | −2.79034 | − | 1.61100i | −0.160037 | − | 0.0923973i | ||||
\(305\) | 17.1892 | + | 2.62756i | 0.984252 | + | 0.150454i | ||||
\(306\) | 9.89079 | + | 10.3423i | 0.565419 | + | 0.591231i | ||||
\(307\) | 9.34919 | + | 9.34919i | 0.533586 | + | 0.533586i | 0.921638 | − | 0.388051i | \(-0.126852\pi\) |
−0.388051 | + | 0.921638i | \(0.626852\pi\) | |||||||
\(308\) | 2.66816 | + | 36.2252i | 0.152033 | + | 2.06412i | ||||
\(309\) | −0.728794 | − | 6.05718i | −0.0414596 | − | 0.344581i | ||||
\(310\) | 0.585905 | + | 5.29945i | 0.0332772 | + | 0.300988i | ||||
\(311\) | 6.28291 | + | 3.62744i | 0.356271 | + | 0.205693i | 0.667444 | − | 0.744660i | \(-0.267388\pi\) |
−0.311173 | + | 0.950353i | \(0.600722\pi\) | |||||||
\(312\) | −2.35449 | − | 5.86858i | −0.133297 | − | 0.332243i | ||||
\(313\) | −21.6144 | − | 5.79157i | −1.22172 | − | 0.327359i | −0.410369 | − | 0.911919i | \(-0.634600\pi\) |
−0.811350 | + | 0.584561i | \(0.801267\pi\) | |||||||
\(314\) | 7.49546 | 0.422993 | ||||||||
\(315\) | 6.29005 | − | 16.5962i | 0.354404 | − | 0.935092i | ||||
\(316\) | −20.4263 | −1.14907 | ||||||||
\(317\) | −19.5090 | − | 5.22742i | −1.09573 | − | 0.293601i | −0.334708 | − | 0.942322i | \(-0.608638\pi\) |
−0.761026 | + | 0.648721i | \(0.775304\pi\) | |||||||
\(318\) | 12.5344 | + | 31.2421i | 0.702896 | + | 1.75197i | ||||
\(319\) | −6.57412 | − | 3.79557i | −0.368080 | − | 0.212511i | ||||
\(320\) | −22.7610 | − | 18.2292i | −1.27238 | − | 1.01904i | ||||
\(321\) | 1.92472 | + | 15.9968i | 0.107427 | + | 0.892854i | ||||
\(322\) | 15.9778 | − | 10.8636i | 0.890409 | − | 0.605406i | ||||
\(323\) | 6.33935 | + | 6.33935i | 0.352731 | + | 0.352731i | ||||
\(324\) | 14.8134 | − | 23.2016i | 0.822967 | − | 1.28898i | ||||
\(325\) | 6.47455 | + | 4.10603i | 0.359143 | + | 0.227761i | ||||
\(326\) | −13.9121 | − | 8.03218i | −0.770522 | − | 0.444861i | ||||
\(327\) | −4.63357 | + | 32.3982i | −0.256237 | + | 1.79163i | ||||
\(328\) | −9.83578 | + | 9.83578i | −0.543090 | + | 0.543090i | ||||
\(329\) | 10.5773 | + | 9.12608i | 0.583147 | + | 0.503137i | ||||
\(330\) | −18.4585 | − | 34.4686i | −1.01611 | − | 1.89744i | ||||
\(331\) | −3.14089 | − | 5.44018i | −0.172639 | − | 0.299019i | 0.766703 | − | 0.642002i | \(-0.221896\pi\) |
−0.939342 | + | 0.342983i | \(0.888563\pi\) | |||||||
\(332\) | 12.3945 | + | 46.2570i | 0.680237 | + | 2.53868i | ||||
\(333\) | 8.59349 | + | 15.6823i | 0.470920 | + | 0.859385i | ||||
\(334\) | −32.7917 | + | 18.9323i | −1.79428 | + | 1.03593i | ||||
\(335\) | 0.529830 | − | 1.20750i | 0.0289477 | − | 0.0659728i | ||||
\(336\) | 3.13751 | − | 1.53524i | 0.171165 | − | 0.0837541i | ||||
\(337\) | −21.9068 | − | 21.9068i | −1.19334 | − | 1.19334i | −0.976123 | − | 0.217217i | \(-0.930302\pi\) |
−0.217217 | − | 0.976123i | \(-0.569698\pi\) | |||||||
\(338\) | 6.19887 | − | 23.1345i | 0.337174 | − | 1.25835i | ||||
\(339\) | −8.34756 | + | 19.5335i | −0.453377 | + | 1.06092i | ||||
\(340\) | 8.58913 | + | 11.6888i | 0.465811 | + | 0.633917i | ||||
\(341\) | −4.12112 | + | 2.37933i | −0.223171 | + | 0.128848i | ||||
\(342\) | 14.8084 | − | 24.3762i | 0.800746 | − | 1.31811i | ||||
\(343\) | −4.05191 | − | 18.0716i | −0.218783 | − | 0.975774i | ||||
\(344\) | −6.74660 | −0.363752 | ||||||||
\(345\) | −6.63223 | + | 10.6841i | −0.357067 | + | 0.575213i | ||||
\(346\) | −0.0706711 | + | 0.122406i | −0.00379930 | + | 0.00658058i | ||||
\(347\) | −0.709546 | − | 2.64806i | −0.0380904 | − | 0.142155i | 0.944262 | − | 0.329195i | \(-0.106777\pi\) |
−0.982352 | + | 0.187040i | \(0.940111\pi\) | |||||||
\(348\) | 1.26844 | − | 8.86901i | 0.0679955 | − | 0.475429i | ||||
\(349\) | − | 21.9804i | − | 1.17658i | −0.808650 | − | 0.588291i | \(-0.799801\pi\) | ||
0.808650 | − | 0.588291i | \(-0.200199\pi\) | |||||||
\(350\) | 14.0459 | − | 26.2291i | 0.750788 | − | 1.40200i | ||||
\(351\) | −7.45895 | + | 2.80102i | −0.398129 | + | 0.149507i | ||||
\(352\) | 7.52365 | − | 28.0786i | 0.401012 | − | 1.49660i | ||||
\(353\) | 8.80395 | − | 2.35901i | 0.468587 | − | 0.125558i | −0.0167963 | − | 0.999859i | \(-0.505347\pi\) |
0.485383 | + | 0.874301i | \(0.338680\pi\) | |||||||
\(354\) | 16.8462 | + | 7.19915i | 0.895366 | + | 0.382630i | ||||
\(355\) | −8.14791 | − | 6.52561i | −0.432446 | − | 0.346344i | ||||
\(356\) | 10.7467i | 0.569572i | ||||||||
\(357\) | −9.53823 | + | 1.86671i | −0.504816 | + | 0.0987968i | ||||
\(358\) | 31.6729 | − | 31.6729i | 1.67396 | − | 1.67396i | ||||
\(359\) | 9.46634 | + | 16.3962i | 0.499614 | + | 0.865357i | 1.00000 | 0.000445509i | \(-0.000141810\pi\) | |
−0.500386 | + | 0.865803i | \(0.666808\pi\) | |||||||
\(360\) | 10.2598 | − | 12.2404i | 0.540737 | − | 0.645124i | ||||
\(361\) | −0.565929 | + | 0.980219i | −0.0297858 | + | 0.0515905i | ||||
\(362\) | −28.4315 | − | 7.61821i | −1.49433 | − | 0.400404i | ||||
\(363\) | 9.78532 | − | 12.4621i | 0.513596 | − | 0.654091i | ||||
\(364\) | 12.1890 | + | 2.32242i | 0.638877 | + | 0.121728i | ||||
\(365\) | 8.94661 | + | 3.92561i | 0.468287 | + | 0.205476i | ||||
\(366\) | −24.2384 | + | 18.1728i | −1.26696 | + | 0.949906i | ||||
\(367\) | 2.69485 | − | 0.722084i | 0.140670 | − | 0.0376925i | −0.187797 | − | 0.982208i | \(-0.560135\pi\) |
0.328467 | + | 0.944515i | \(0.393468\pi\) | |||||||
\(368\) | −2.39057 | + | 0.640550i | −0.124617 | + | 0.0333910i | ||||
\(369\) | 12.1138 | + | 12.6668i | 0.630620 | + | 0.659408i | ||||
\(370\) | 10.8940 | + | 27.9287i | 0.566352 | + | 1.45195i | ||||
\(371\) | −22.4585 | − | 4.27910i | −1.16599 | − | 0.222160i | ||||
\(372\) | −4.41729 | − | 3.46848i | −0.229026 | − | 0.179832i | ||||
\(373\) | 11.7592 | + | 3.15087i | 0.608870 | + | 0.163146i | 0.550063 | − | 0.835123i | \(-0.314604\pi\) |
0.0588067 | + | 0.998269i | \(0.481270\pi\) | |||||||
\(374\) | −10.7058 | + | 18.5430i | −0.553585 | + | 0.958837i | ||||
\(375\) | −1.42239 | + | 19.3126i | −0.0734519 | + | 0.997299i | ||||
\(376\) | 6.28582 | + | 10.8874i | 0.324166 | + | 0.561473i | ||||
\(377\) | −1.83366 | + | 1.83366i | −0.0944381 | + | 0.0944381i | ||||
\(378\) | 12.9671 | + | 28.0700i | 0.666957 | + | 1.44377i | ||||
\(379\) | 13.7261i | 0.705060i | 0.935800 | + | 0.352530i | \(0.114679\pi\) | ||||
−0.935800 | + | 0.352530i | \(0.885321\pi\) | |||||||
\(380\) | 18.0721 | − | 22.5649i | 0.927080 | − | 1.15756i | ||||
\(381\) | 5.89645 | − | 13.7979i | 0.302084 | − | 0.706886i | ||||
\(382\) | −25.1087 | + | 6.72786i | −1.28467 | + | 0.344227i | ||||
\(383\) | 8.82340 | − | 32.9294i | 0.450855 | − | 1.68261i | −0.249142 | − | 0.968467i | \(-0.580149\pi\) |
0.699997 | − | 0.714146i | \(-0.253185\pi\) | |||||||
\(384\) | 28.1663 | − | 3.38894i | 1.43736 | − | 0.172941i | ||||
\(385\) | 26.4741 | + | 2.07357i | 1.34925 | + | 0.105679i | ||||
\(386\) | − | 31.6538i | − | 1.61114i | ||||||
\(387\) | −0.189661 | + | 8.49881i | −0.00964101 | + | 0.432019i | ||||
\(388\) | −6.27453 | − | 23.4169i | −0.318541 | − | 1.18881i | ||||
\(389\) | 17.0556 | − | 29.5411i | 0.864751 | − | 1.49779i | −0.00254324 | − | 0.999997i | \(-0.500810\pi\) |
0.867294 | − | 0.497796i | \(-0.165857\pi\) | |||||||
\(390\) | −13.0055 | + | 3.04317i | −0.658559 | + | 0.154097i | ||||
\(391\) | 6.88637 | 0.348259 | ||||||||
\(392\) | 1.90834 | − | 16.5566i | 0.0963858 | − | 0.836236i | ||||
\(393\) | 23.8861 | + | 18.7555i | 1.20489 | + | 0.946089i | ||||
\(394\) | −47.8597 | + | 27.6318i | −2.41114 | + | 1.39207i | ||||
\(395\) | −2.25650 | + | 14.7618i | −0.113537 | + | 0.742744i | ||||
\(396\) | 39.5356 | + | 11.5449i | 1.98674 | + | 0.580151i | ||||
\(397\) | −3.63606 | + | 13.5700i | −0.182489 | + | 0.681057i | 0.812666 | + | 0.582730i | \(0.198016\pi\) |
−0.995154 | + | 0.0983265i | \(0.968651\pi\) | |||||||
\(398\) | −22.9983 | − | 22.9983i | −1.15280 | − | 1.15280i | ||||
\(399\) | 8.51390 | + | 17.3996i | 0.426228 | + | 0.871067i | ||||
\(400\) | −2.80457 | + | 2.58056i | −0.140229 | + | 0.129028i | ||||
\(401\) | 15.1489 | − | 8.74623i | 0.756501 | − | 0.436766i | −0.0715372 | − | 0.997438i | \(-0.522790\pi\) |
0.828038 | + | 0.560672i | \(0.189457\pi\) | |||||||
\(402\) | 0.855396 | + | 2.13208i | 0.0426633 | + | 0.106338i | ||||
\(403\) | 0.420734 | + | 1.57020i | 0.0209582 | + | 0.0782172i | ||||
\(404\) | 20.2321 | + | 35.0431i | 1.00659 | + | 1.74346i | ||||
\(405\) | −15.1310 | − | 13.2685i | −0.751865 | − | 0.659318i | ||||
\(406\) | 7.61955 | + | 6.57412i | 0.378152 | + | 0.326268i | ||||
\(407\) | −18.9194 | + | 18.9194i | −0.937799 | + | 0.937799i | ||||
\(408\) | −8.65812 | − | 1.23828i | −0.428641 | − | 0.0613039i | ||||
\(409\) | 11.6480 | + | 6.72496i | 0.575955 | + | 0.332528i | 0.759524 | − | 0.650479i | \(-0.225432\pi\) |
−0.183569 | + | 0.983007i | \(0.558765\pi\) | |||||||
\(410\) | 17.3983 | + | 23.6772i | 0.859242 | + | 1.16933i | ||||
\(411\) | 7.49043 | − | 5.61596i | 0.369475 | − | 0.277015i | ||||
\(412\) | 7.61791 | + | 7.61791i | 0.375308 | + | 0.375308i | ||||
\(413\) | −10.2892 | + | 6.99584i | −0.506300 | + | 0.344243i | ||||
\(414\) | −5.19671 | − | 21.2829i | −0.255404 | − | 1.04600i | ||||
\(415\) | 34.7984 | − | 3.84730i | 1.70819 | − | 0.188857i | ||||
\(416\) | −8.59981 | − | 4.96511i | −0.421641 | − | 0.243434i | ||||
\(417\) | 10.2533 | − | 4.11363i | 0.502104 | − | 0.201446i | ||||
\(418\) | 41.2205 | + | 11.0450i | 2.01616 | + | 0.540229i | ||||
\(419\) | 35.0036 | 1.71004 | 0.855018 | − | 0.518598i | \(-0.173546\pi\) | ||||
0.855018 | + | 0.518598i | \(0.173546\pi\) | |||||||
\(420\) | 9.36304 | + | 29.9099i | 0.456869 | + | 1.45945i | ||||
\(421\) | 10.4231 | 0.507989 | 0.253995 | − | 0.967206i | \(-0.418255\pi\) | ||||
0.253995 | + | 0.967206i | \(0.418255\pi\) | |||||||
\(422\) | 27.4817 | + | 7.36369i | 1.33779 | + | 0.358459i | ||||
\(423\) | 13.8917 | − | 7.61229i | 0.675438 | − | 0.370122i | ||||
\(424\) | −17.8174 | − | 10.2869i | −0.865292 | − | 0.499576i | ||||
\(425\) | 9.39620 | − | 4.91596i | 0.455783 | − | 0.238459i | ||||
\(426\) | 18.0562 | − | 2.17251i | 0.874827 | − | 0.105258i | ||||
\(427\) | −1.51134 | − | 20.5192i | −0.0731390 | − | 0.992995i | ||||
\(428\) | −20.1186 | − | 20.1186i | −0.972471 | − | 0.972471i | ||||
\(429\) | −7.15118 | − | 9.53806i | −0.345262 | − | 0.460502i | ||||
\(430\) | −2.15341 | + | 14.0873i | −0.103846 | + | 0.679351i | ||||
\(431\) | 13.7352 | + | 7.93000i | 0.661600 | + | 0.381975i | 0.792886 | − | 0.609370i | \(-0.208577\pi\) |
−0.131287 | + | 0.991344i | \(0.541911\pi\) | |||||||
\(432\) | −0.385281 | − | 3.94188i | −0.0185369 | − | 0.189654i | ||||
\(433\) | −25.6695 | + | 25.6695i | −1.23360 | + | 1.23360i | −0.271024 | + | 0.962572i | \(0.587362\pi\) |
−0.962572 | + | 0.271024i | \(0.912638\pi\) | |||||||
\(434\) | 5.95724 | − | 2.07599i | 0.285956 | − | 0.0996506i | ||||
\(435\) | −6.26938 | − | 1.89645i | −0.300594 | − | 0.0909276i | ||||
\(436\) | −28.8967 | − | 50.0505i | −1.38390 | − | 2.39699i | ||||
\(437\) | −3.55227 | − | 13.2573i | −0.169928 | − | 0.634181i | ||||
\(438\) | −15.7970 | + | 6.33779i | −0.754808 | + | 0.302831i | ||||
\(439\) | 18.5791 | − | 10.7267i | 0.886734 | − | 0.511956i | 0.0138613 | − | 0.999904i | \(-0.495588\pi\) |
0.872873 | + | 0.487948i | \(0.162254\pi\) | |||||||
\(440\) | 21.8830 | + | 9.60186i | 1.04323 | + | 0.457751i | ||||
\(441\) | −20.8030 | − | 2.86941i | −0.990621 | − | 0.136639i | ||||
\(442\) | 5.17203 | + | 5.17203i | 0.246009 | + | 0.246009i | ||||
\(443\) | −5.94505 | + | 22.1872i | −0.282458 | + | 1.05415i | 0.668219 | + | 0.743965i | \(0.267057\pi\) |
−0.950677 | + | 0.310183i | \(0.899610\pi\) | |||||||
\(444\) | −29.0378 | − | 12.4092i | −1.37807 | − | 0.588913i | ||||
\(445\) | 7.76645 | + | 1.18719i | 0.368165 | + | 0.0562781i | ||||
\(446\) | −41.2866 | + | 23.8368i | −1.95498 | + | 1.12871i | ||||
\(447\) | 11.8583 | − | 15.1022i | 0.560879 | − | 0.714308i | ||||
\(448\) | −15.0104 | + | 31.0677i | −0.709173 | + | 1.46781i | ||||
\(449\) | −16.0964 | −0.759636 | −0.379818 | − | 0.925061i | \(-0.624013\pi\) | ||||
−0.379818 | + | 0.925061i | \(0.624013\pi\) | |||||||
\(450\) | −22.2839 | − | 25.3300i | −1.05047 | − | 1.19407i | ||||
\(451\) | −13.1120 | + | 22.7107i | −0.617421 | + | 1.06940i | ||||
\(452\) | −9.70868 | − | 36.2333i | −0.456658 | − | 1.70427i | ||||
\(453\) | −18.0879 | − | 2.58691i | −0.849842 | − | 0.121544i | ||||
\(454\) | − | 34.1770i | − | 1.60400i | ||||||
\(455\) | 3.02490 | − | 8.55225i | 0.141810 | − | 0.400936i | ||||
\(456\) | 2.08235 | + | 17.3069i | 0.0975150 | + | 0.810470i | ||||
\(457\) | −4.73167 | + | 17.6588i | −0.221338 | + | 0.826045i | 0.762500 | + | 0.646988i | \(0.223972\pi\) |
−0.983839 | + | 0.179058i | \(0.942695\pi\) | |||||||
\(458\) | −24.1444 | + | 6.46946i | −1.12819 | + | 0.302298i | ||||
\(459\) | −1.80328 | + | 10.8720i | −0.0841698 | + | 0.507460i | ||||
\(460\) | −2.44025 | − | 22.0718i | −0.113777 | − | 1.02910i | ||||
\(461\) | − | 11.0171i | − | 0.513119i | −0.966528 | − | 0.256560i | \(-0.917411\pi\) | ||
0.966528 | − | 0.256560i | \(-0.0825890\pi\) | |||||||
\(462\) | −34.8768 | + | 30.3963i | −1.62261 | + | 1.41417i | ||||
\(463\) | −16.6150 | + | 16.6150i | −0.772166 | + | 0.772166i | −0.978485 | − | 0.206319i | \(-0.933852\pi\) |
0.206319 | + | 0.978485i | \(0.433852\pi\) | |||||||
\(464\) | −0.644536 | − | 1.11637i | −0.0299219 | − | 0.0518262i | ||||
\(465\) | −2.99460 | + | 2.80914i | −0.138871 | + | 0.130271i | ||||
\(466\) | −10.4192 | + | 18.0466i | −0.482661 | + | 0.835993i | ||||
\(467\) | 19.6139 | + | 5.25552i | 0.907621 | + | 0.243196i | 0.682286 | − | 0.731085i | \(-0.260986\pi\) |
0.225335 | + | 0.974281i | \(0.427652\pi\) | |||||||
\(468\) | 7.30493 | − | 12.0247i | 0.337670 | − | 0.555842i | ||||
\(469\) | −1.53265 | − | 0.292022i | −0.0707712 | − | 0.0134843i | ||||
\(470\) | 24.7399 | − | 9.65013i | 1.14116 | − | 0.445127i | ||||
\(471\) | 3.46261 | + | 4.61834i | 0.159549 | + | 0.212802i | ||||
\(472\) | −10.8152 | + | 2.89792i | −0.497810 | + | 0.133388i | ||||
\(473\) | −12.2858 | + | 3.29198i | −0.564903 | + | 0.151365i | ||||
\(474\) | −15.6064 | − | 20.8154i | −0.716826 | − | 0.956084i | ||||
\(475\) | −14.3109 | − | 15.5532i | −0.656629 | − | 0.713630i | ||||
\(476\) | 11.2117 | − | 12.9946i | 0.513888 | − | 0.595608i | ||||
\(477\) | −13.4595 | + | 22.1558i | −0.616267 | + | 1.01444i | ||||
\(478\) | 52.6069 | + | 14.0960i | 2.40618 | + | 0.644734i | ||||
\(479\) | −2.76000 | + | 4.78046i | −0.126108 | + | 0.218425i | −0.922165 | − | 0.386796i | \(-0.873582\pi\) |
0.796058 | + | 0.605221i | \(0.206915\pi\) | |||||||
\(480\) | 0.801071 | − | 25.0692i | 0.0365637 | − | 1.14425i | ||||
\(481\) | 4.57002 | + | 7.91551i | 0.208375 | + | 0.360916i | ||||
\(482\) | −16.1055 | + | 16.1055i | −0.733585 | + | 0.733585i | ||||
\(483\) | 14.0748 | + | 4.82620i | 0.640424 | + | 0.219600i | ||||
\(484\) | 27.9799i | 1.27181i | ||||||||
\(485\) | −17.6162 | + | 1.94764i | −0.799909 | + | 0.0884376i | ||||
\(486\) | 34.9616 | − | 2.63121i | 1.58589 | − | 0.119354i | ||||
\(487\) | −8.26468 | + | 2.21452i | −0.374509 | + | 0.100349i | −0.441163 | − | 0.897427i | \(-0.645434\pi\) |
0.0666548 | + | 0.997776i | \(0.478767\pi\) | |||||||
\(488\) | 4.79207 | − | 17.8842i | 0.216927 | − | 0.809582i | ||||
\(489\) | −1.47782 | − | 12.2825i | −0.0668295 | − | 0.555436i | ||||
\(490\) | −33.9622 | − | 9.26935i | −1.53426 | − | 0.418747i | ||||
\(491\) | − | 6.00183i | − | 0.270859i | −0.990787 | − | 0.135429i | \(-0.956759\pi\) | ||
0.990787 | − | 0.135429i | \(-0.0432414\pi\) | |||||||
\(492\) | −30.6386 | − | 4.38190i | −1.38129 | − | 0.197551i | ||||
\(493\) | 0.928340 | + | 3.46461i | 0.0418103 | + | 0.156038i | ||||
\(494\) | 7.28897 | − | 12.6249i | 0.327946 | − | 0.568020i | ||||
\(495\) | 12.7108 | − | 27.2964i | 0.571308 | − | 1.22688i | ||||
\(496\) | −0.808083 | −0.0362840 | ||||||||
\(497\) | −5.37335 | + | 11.1215i | −0.241028 | + | 0.498868i | ||||
\(498\) | −37.6684 | + | 47.9726i | −1.68796 | + | 2.14971i | ||||
\(499\) | −18.3533 | + | 10.5963i | −0.821605 | + | 0.474354i | −0.850970 | − | 0.525215i | \(-0.823985\pi\) |
0.0293648 | + | 0.999569i | \(0.490652\pi\) | |||||||
\(500\) | −19.0860 | − | 28.3741i | −0.853552 | − | 1.26893i | ||||
\(501\) | −26.8137 | − | 11.4587i | −1.19795 | − | 0.511937i | ||||
\(502\) | 12.6542 | − | 47.2262i | 0.564786 | − | 2.10781i | ||||
\(503\) | 20.3830 | + | 20.3830i | 0.908834 | + | 0.908834i | 0.996178 | − | 0.0873440i | \(-0.0278379\pi\) |
−0.0873440 | + | 0.996178i | \(0.527838\pi\) | |||||||
\(504\) | −16.8281 | − | 8.59876i | −0.749585 | − | 0.383019i | ||||
\(505\) | 27.5601 | − | 10.7502i | 1.22641 | − | 0.478379i | ||||
\(506\) | 28.3878 | − | 16.3897i | 1.26199 | − | 0.728611i | ||||
\(507\) | 17.1180 | − | 6.86779i | 0.760237 | − | 0.305009i | ||||
\(508\) | 6.85791 | + | 25.5941i | 0.304270 | + | 1.13555i | ||||
\(509\) | −1.72032 | − | 2.97968i | −0.0762518 | − | 0.132072i | 0.825378 | − | 0.564580i | \(-0.190962\pi\) |
−0.901630 | + | 0.432508i | \(0.857629\pi\) | |||||||
\(510\) | −5.34914 | + | 17.6835i | −0.236864 | + | 0.783037i | ||||
\(511\) | 2.16364 | − | 11.3557i | 0.0957140 | − | 0.502346i | ||||
\(512\) | 6.05700 | − | 6.05700i | 0.267684 | − | 0.267684i | ||||
\(513\) | 21.8603 | − | 2.13664i | 0.965158 | − | 0.0943349i | ||||
\(514\) | −6.21472 | − | 3.58807i | −0.274120 | − | 0.158263i | ||||
\(515\) | 6.34690 | − | 4.66380i | 0.279678 | − | 0.205511i | ||||
\(516\) | −9.00503 | − | 12.0107i | −0.396424 | − | 0.528741i | ||||
\(517\) | 16.7592 | + | 16.7592i | 0.737068 | + | 0.737068i | ||||
\(518\) | 29.3328 | − | 19.9439i | 1.28881 | − | 0.876284i | ||||
\(519\) | −0.108068 | + | 0.0130026i | −0.00474366 | + | 0.000570752i | ||||
\(520\) | 5.10306 | − | 6.37171i | 0.223784 | − | 0.279418i | ||||
\(521\) | −10.4103 | − | 6.01040i | −0.456084 | − | 0.263320i | 0.254312 | − | 0.967122i | \(-0.418151\pi\) |
−0.710396 | + | 0.703802i | \(0.751484\pi\) | |||||||
\(522\) | 10.0071 | − | 5.48364i | 0.438000 | − | 0.240012i | ||||
\(523\) | 17.6229 | + | 4.72205i | 0.770597 | + | 0.206481i | 0.622635 | − | 0.782512i | \(-0.286062\pi\) |
0.147962 | + | 0.988993i | \(0.452729\pi\) | |||||||
\(524\) | −53.6289 | −2.34279 | ||||||||
\(525\) | 22.6498 | − | 3.46237i | 0.988517 | − | 0.151110i | ||||
\(526\) | 61.5673 | 2.68446 | ||||||||
\(527\) | 2.17186 | + | 0.581949i | 0.0946079 | + | 0.0253501i | ||||
\(528\) | 5.49989 | − | 2.20657i | 0.239352 | − | 0.0960286i | ||||
\(529\) | 10.7886 | + | 6.22878i | 0.469068 | + | 0.270817i | ||||
\(530\) | −27.1668 | + | 33.9206i | −1.18005 | + | 1.47341i | ||||
\(531\) | 3.34653 | + | 13.7056i | 0.145227 | + | 0.594770i | ||||
\(532\) | −30.8000 | − | 14.8810i | −1.33535 | − | 0.645174i | ||||
\(533\) | 6.33448 | + | 6.33448i | 0.274377 | + | 0.274377i | ||||
\(534\) | −10.9514 | + | 8.21083i | −0.473914 | + | 0.355318i | ||||
\(535\) | −16.7620 | + | 12.3169i | −0.724683 | + | 0.532507i | ||||
\(536\) | −1.21593 | − | 0.702016i | −0.0525201 | − | 0.0303225i | ||||
\(537\) | 34.1469 | + | 4.88367i | 1.47355 | + | 0.210746i | ||||
\(538\) | −7.63822 | + | 7.63822i | −0.329307 | + | 0.329307i | ||||
\(539\) | −4.60358 | − | 31.0815i | −0.198290 | − | 1.33877i | ||||
\(540\) | 35.4852 | + | 1.92718i | 1.52704 | + | 0.0829326i | ||||
\(541\) | −13.7503 | − | 23.8162i | −0.591172 | − | 1.02394i | −0.994075 | − | 0.108697i | \(-0.965332\pi\) |
0.402903 | − | 0.915243i | \(-0.368001\pi\) | |||||||
\(542\) | 3.78646 | + | 14.1313i | 0.162643 | + | 0.606990i | ||||
\(543\) | −8.44029 | − | 21.0375i | −0.362208 | − | 0.902804i | ||||
\(544\) | −11.8951 | + | 6.86762i | −0.509997 | + | 0.294447i | ||||
\(545\) | −39.3630 | + | 15.3541i | −1.68612 | + | 0.657697i | ||||
\(546\) | 6.94617 | + | 14.1956i | 0.297269 | + | 0.607517i | ||||
\(547\) | 28.4753 | + | 28.4753i | 1.21751 | + | 1.21751i | 0.968500 | + | 0.249014i | \(0.0801066\pi\) |
0.249014 | + | 0.968500i | \(0.419893\pi\) | |||||||
\(548\) | −4.27879 | + | 15.9687i | −0.182781 | + | 0.682147i | ||||
\(549\) | −22.3944 | − | 6.53942i | −0.955769 | − | 0.279096i | ||||
\(550\) | 27.0340 | − | 42.6283i | 1.15273 | − | 1.81768i | ||||
\(551\) | 6.19101 | − | 3.57438i | 0.263746 | − | 0.152274i | ||||
\(552\) | 10.5312 | + | 8.26914i | 0.448237 | + | 0.351958i | ||||
\(553\) | 17.6215 | − | 1.29791i | 0.749342 | − | 0.0551928i | ||||
\(554\) | −2.75618 | −0.117099 | ||||||||
\(555\) | −12.1757 | + | 19.6143i | −0.516831 | + | 0.832582i | ||||
\(556\) | −9.75441 | + | 16.8951i | −0.413679 | + | 0.716513i | ||||
\(557\) | −1.49153 | − | 5.56648i | −0.0631983 | − | 0.235859i | 0.927101 | − | 0.374812i | \(-0.122293\pi\) |
−0.990299 | + | 0.138953i | \(0.955626\pi\) | |||||||
\(558\) | 0.159594 | − | 7.15150i | 0.00675616 | − | 0.302747i | ||||
\(559\) | 4.34497i | 0.183773i | ||||||||
\(560\) | 3.71729 | + | 2.55277i | 0.157084 | + | 0.107874i | ||||
\(561\) | −16.3710 | + | 1.96974i | −0.691184 | + | 0.0831626i | ||||
\(562\) | −7.48515 | + | 27.9350i | −0.315742 | + | 1.17837i | ||||
\(563\) | −13.1662 | + | 3.52788i | −0.554890 | + | 0.148682i | −0.525358 | − | 0.850882i | \(-0.676068\pi\) |
−0.0295322 | + | 0.999564i | \(0.509402\pi\) | |||||||
\(564\) | −10.9923 | + | 25.7223i | −0.462859 | + | 1.08310i | ||||
\(565\) | −27.2578 | + | 3.01361i | −1.14674 | + | 0.126784i | ||||
\(566\) | 3.26768i | 0.137351i | ||||||||
\(567\) | −11.3051 | + | 20.9570i | −0.474769 | + | 0.880110i | ||||
\(568\) | −7.85955 | + | 7.85955i | −0.329779 | + | 0.329779i | ||||
\(569\) | −7.70038 | − | 13.3375i | −0.322817 | − | 0.559135i | 0.658251 | − | 0.752798i | \(-0.271296\pi\) |
−0.981068 | + | 0.193663i | \(0.937963\pi\) | |||||||
\(570\) | 36.8026 | + | 1.17600i | 1.54149 | + | 0.0492574i | ||||
\(571\) | 19.9476 | − | 34.5503i | 0.834782 | − | 1.44589i | −0.0594250 | − | 0.998233i | \(-0.518927\pi\) |
0.894207 | − | 0.447653i | \(-0.147740\pi\) | |||||||
\(572\) | 20.3340 | + | 5.44847i | 0.850206 | + | 0.227812i | ||||
\(573\) | −15.7446 | − | 12.3628i | −0.657741 | − | 0.516462i | ||||
\(574\) | 22.7107 | − | 26.3222i | 0.947926 | − | 1.09867i | ||||
\(575\) | −16.2205 | − | 0.674750i | −0.676443 | − | 0.0281390i | ||||
\(576\) | 27.0405 | + | 28.2749i | 1.12669 | + | 1.17812i | ||||
\(577\) | −36.1344 | + | 9.68219i | −1.50430 | + | 0.403075i | −0.914536 | − | 0.404504i | \(-0.867444\pi\) |
−0.589760 | + | 0.807579i | \(0.700777\pi\) | |||||||
\(578\) | −27.1600 | + | 7.27751i | −1.12971 | + | 0.302705i | ||||
\(579\) | 19.5036 | − | 14.6228i | 0.810541 | − | 0.607704i | ||||
\(580\) | 10.7756 | − | 4.20318i | 0.447433 | − | 0.174528i | ||||
\(581\) | −13.6318 | − | 39.1178i | −0.565543 | − | 1.62288i | ||||
\(582\) | 19.0690 | − | 24.2854i | 0.790437 | − | 1.00666i | ||||
\(583\) | −37.4657 | − | 10.0389i | −1.55167 | − | 0.415769i | ||||
\(584\) | 5.20137 | − | 9.00904i | 0.215234 | − | 0.372797i | ||||
\(585\) | −7.88309 | − | 6.60754i | −0.325926 | − | 0.273188i | ||||
\(586\) | 2.12003 | + | 3.67200i | 0.0875776 | + | 0.151689i | ||||
\(587\) | −6.77064 | + | 6.77064i | −0.279454 | + | 0.279454i | −0.832891 | − | 0.553437i | \(-0.813316\pi\) |
0.553437 | + | 0.832891i | \(0.313316\pi\) | |||||||
\(588\) | 32.0222 | − | 18.7017i | 1.32057 | − | 0.771243i | ||||
\(589\) | − | 4.48135i | − | 0.184651i | ||||||
\(590\) | 2.59901 | + | 23.5078i | 0.107000 | + | 0.967800i | ||||
\(591\) | −39.1347 | − | 16.7240i | −1.60979 | − | 0.687934i | ||||
\(592\) | −4.38871 | + | 1.17595i | −0.180375 | + | 0.0483312i | ||||
\(593\) | −2.71193 | + | 10.1211i | −0.111366 | + | 0.415622i | −0.998989 | − | 0.0449473i | \(-0.985688\pi\) |
0.887624 | + | 0.460569i | \(0.152355\pi\) | |||||||
\(594\) | 18.4418 | + | 49.1095i | 0.756677 | + | 2.01499i | ||||
\(595\) | −8.15246 | − | 9.53806i | −0.334218 | − | 0.391022i | ||||
\(596\) | 33.9073i | 1.38890i | ||||||||
\(597\) | 3.54614 | − | 24.7948i | 0.145134 | − | 1.01478i | ||||
\(598\) | −2.89817 | − | 10.8161i | −0.118515 | − | 0.442303i | ||||
\(599\) | 9.01460 | − | 15.6137i | 0.368327 | − | 0.637960i | −0.620978 | − | 0.783828i | \(-0.713264\pi\) |
0.989304 | + | 0.145868i | \(0.0465975\pi\) | |||||||
\(600\) | 20.2725 | + | 3.76506i | 0.827620 | + | 0.153708i | ||||
\(601\) | −10.2303 | −0.417304 | −0.208652 | − | 0.977990i | \(-0.566908\pi\) | ||||
−0.208652 | + | 0.977990i | \(0.566908\pi\) | |||||||
\(602\) | 16.8164 | − | 1.23861i | 0.685386 | − | 0.0504821i | ||||
\(603\) | −0.918525 | + | 1.51199i | −0.0374052 | + | 0.0615730i | ||||
\(604\) | 27.9431 | − | 16.1330i | 1.13699 | − | 0.656440i | ||||
\(605\) | 20.2206 | + | 3.09095i | 0.822086 | + | 0.125665i | ||||
\(606\) | −20.2526 | + | 47.3918i | −0.822707 | + | 1.92516i | ||||
\(607\) | −1.44350 | + | 5.38723i | −0.0585900 | + | 0.218661i | −0.989013 | − | 0.147825i | \(-0.952773\pi\) |
0.930423 | + | 0.366486i | \(0.119439\pi\) | |||||||
\(608\) | 19.3571 | + | 19.3571i | 0.785035 | + | 0.785035i | ||||
\(609\) | −0.530720 | + | 7.73179i | −0.0215058 | + | 0.313308i | ||||
\(610\) | −35.8139 | − | 15.7145i | −1.45006 | − | 0.636262i | ||||
\(611\) | 7.01172 | − | 4.04822i | 0.283664 | − | 0.163773i | ||||
\(612\) | −9.35198 | − | 17.0665i | −0.378031 | − | 0.689871i | ||||
\(613\) | −1.68114 | − | 6.27411i | −0.0679007 | − | 0.253409i | 0.923629 | − | 0.383287i | \(-0.125208\pi\) |
−0.991530 | + | 0.129878i | \(0.958541\pi\) | |||||||
\(614\) | −14.8687 | − | 25.7534i | −0.600052 | − | 1.03932i | ||||
\(615\) | −6.55139 | + | 21.6579i | −0.264178 | + | 0.873333i | ||||
\(616\) | 5.29217 | − | 27.7755i | 0.213228 | − | 1.11911i | ||||
\(617\) | 14.3669 | − | 14.3669i | 0.578389 | − | 0.578389i | −0.356070 | − | 0.934459i | \(-0.615884\pi\) |
0.934459 | + | 0.356070i | \(0.115884\pi\) | |||||||
\(618\) | −1.94269 | + | 13.5834i | −0.0781464 | + | 0.546405i | ||||
\(619\) | −29.1112 | − | 16.8074i | −1.17008 | − | 0.675546i | −0.216381 | − | 0.976309i | \(-0.569425\pi\) |
−0.953699 | + | 0.300763i | \(0.902759\pi\) | |||||||
\(620\) | 1.09561 | − | 7.16736i | 0.0440008 | − | 0.287848i | ||||
\(621\) | 10.7128 | − | 13.0338i | 0.429891 | − | 0.523030i | ||||
\(622\) | −11.5380 | − | 11.5380i | −0.462631 | − | 0.462631i | ||||
\(623\) | −0.682856 | − | 9.27101i | −0.0273580 | − | 0.371435i | ||||
\(624\) | −0.241826 | − | 2.00987i | −0.00968078 | − | 0.0804592i | ||||
\(625\) | −22.6140 | + | 10.6587i | −0.904560 | + | 0.426346i | ||||
\(626\) | 43.5858 | + | 25.1643i | 1.74204 | + | 1.00577i | ||||
\(627\) | 12.2369 | + | 30.5005i | 0.488694 | + | 1.21807i | ||||
\(628\) | −9.84574 | − | 2.63816i | −0.392888 | − | 0.105274i | ||||
\(629\) | 12.6423 | 0.504081 | ||||||||
\(630\) | −23.3260 | + | 32.3937i | −0.929332 | + | 1.29059i | ||||
\(631\) | 5.20858 | 0.207350 | 0.103675 | − | 0.994611i | \(-0.466940\pi\) | ||||
0.103675 | + | 0.994611i | \(0.466940\pi\) | |||||||
\(632\) | 15.3586 | + | 4.11533i | 0.610933 | + | 0.163699i | ||||
\(633\) | 8.15831 | + | 20.3346i | 0.324264 | + | 0.808228i | ||||
\(634\) | 39.3402 | + | 22.7131i | 1.56240 | + | 0.902050i | ||||
\(635\) | 19.2540 | − | 2.12872i | 0.764073 | − | 0.0844756i | ||||
\(636\) | −5.46851 | − | 45.4501i | −0.216841 | − | 1.80221i | ||||
\(637\) | −10.6629 | − | 1.22902i | −0.422478 | − | 0.0486955i | ||||
\(638\) | 12.0728 | + | 12.0728i | 0.477965 | + | 0.477965i | ||||
\(639\) | 9.67986 | + | 10.1218i | 0.382930 | + | 0.400411i | ||||
\(640\) | 21.6870 | + | 29.5136i | 0.857254 | + | 1.16663i | ||||
\(641\) | 28.8032 | + | 16.6295i | 1.13766 | + | 0.656828i | 0.945850 | − | 0.324605i | \(-0.105231\pi\) |
0.191809 | + | 0.981432i | \(0.438565\pi\) | |||||||
\(642\) | 5.13058 | − | 35.8733i | 0.202488 | − | 1.41581i | ||||
\(643\) | −6.90737 | + | 6.90737i | −0.272400 | + | 0.272400i | −0.830066 | − | 0.557666i | \(-0.811697\pi\) |
0.557666 | + | 0.830066i | \(0.311697\pi\) | |||||||
\(644\) | −24.8114 | + | 8.64634i | −0.977708 | + | 0.340713i | ||||
\(645\) | −9.67473 | + | 5.18097i | −0.380942 | + | 0.204001i | ||||
\(646\) | −10.0819 | − | 17.4624i | −0.396668 | − | 0.687050i | ||||
\(647\) | −11.0955 | − | 41.4091i | −0.436210 | − | 1.62796i | −0.738154 | − | 0.674632i | \(-0.764302\pi\) |
0.301944 | − | 0.953326i | \(-0.402365\pi\) | |||||||
\(648\) | −15.8128 | + | 14.4609i | −0.621184 | + | 0.568078i | ||||
\(649\) | −18.2809 | + | 10.5545i | −0.717587 | + | 0.414299i | ||||
\(650\) | −11.6757 | − | 12.6893i | −0.457959 | − | 0.497714i | ||||
\(651\) | 4.03114 | + | 2.71154i | 0.157993 | + | 0.106274i | ||||
\(652\) | 15.4474 | + | 15.4474i | 0.604965 | + | 0.604965i | ||||
\(653\) | −0.572412 | + | 2.13627i | −0.0224002 | + | 0.0835988i | −0.976221 | − | 0.216777i | \(-0.930445\pi\) |
0.953821 | + | 0.300376i | \(0.0971121\pi\) | |||||||
\(654\) | 28.9260 | − | 67.6876i | 1.13110 | − | 2.64680i | ||||
\(655\) | −5.92441 | + | 38.7568i | −0.231486 | + | 1.51435i | ||||
\(656\) | −3.85657 | + | 2.22659i | −0.150574 | + | 0.0869338i | ||||
\(657\) | −11.2026 | − | 6.80552i | −0.437056 | − | 0.265509i | ||||
\(658\) | −17.6667 | − | 25.9836i | −0.688720 | − | 1.01295i | ||||
\(659\) | 3.05561 | 0.119030 | 0.0595149 | − | 0.998227i | \(-0.481045\pi\) | ||||
0.0595149 | + | 0.998227i | \(0.481045\pi\) | |||||||
\(660\) | 12.1145 | + | 51.7734i | 0.471557 | + | 2.01528i | ||||
\(661\) | 12.6893 | − | 21.9785i | 0.493557 | − | 0.854865i | −0.506416 | − | 0.862289i | \(-0.669030\pi\) |
0.999972 | + | 0.00742420i | \(0.00236322\pi\) | |||||||
\(662\) | 3.65673 | + | 13.6471i | 0.142123 | + | 0.530410i | ||||
\(663\) | −0.797481 | + | 5.57604i | −0.0309716 | + | 0.216555i | ||||
\(664\) | − | 37.2780i | − | 1.44667i | ||||||
\(665\) | −14.1568 | + | 20.6148i | −0.548977 | + | 0.799408i | ||||
\(666\) | −9.54035 | − | 39.0721i | −0.369681 | − | 1.51401i | ||||
\(667\) | 1.42121 | − | 5.30402i | 0.0550294 | − | 0.205373i | ||||
\(668\) | 49.7375 | − | 13.3271i | 1.92440 | − | 0.515642i | ||||
\(669\) | −33.7599 | − | 14.4271i | −1.30523 | − | 0.557785i | ||||
\(670\) | −1.85396 | + | 2.31486i | −0.0716247 | + | 0.0894310i | ||||
\(671\) | − | 34.9062i | − | 1.34754i | ||||||
\(672\) | −29.1249 | + | 5.69999i | −1.12352 | + | 0.219882i | ||||
\(673\) | 20.5391 | − | 20.5391i | 0.791722 | − | 0.791722i | −0.190052 | − | 0.981774i | \(-0.560866\pi\) |
0.981774 | + | 0.190052i | \(0.0608656\pi\) | |||||||
\(674\) | 34.8401 | + | 60.3447i | 1.34199 | + | 2.32439i | ||||
\(675\) | 5.31281 | − | 25.4318i | 0.204490 | − | 0.978869i | ||||
\(676\) | −16.2852 | + | 28.2067i | −0.626353 | + | 1.08487i | ||||
\(677\) | 2.42401 | + | 0.649513i | 0.0931624 | + | 0.0249628i | 0.305099 | − | 0.952321i | \(-0.401310\pi\) |
−0.211937 | + | 0.977283i | \(0.567977\pi\) | |||||||
\(678\) | 29.5058 | − | 37.5772i | 1.13316 | − | 1.44314i | ||||
\(679\) | 6.90090 | + | 19.8027i | 0.264832 | + | 0.759960i | ||||
\(680\) | −4.10323 | − | 10.5194i | −0.157352 | − | 0.403400i | ||||
\(681\) | 21.0582 | − | 15.7884i | 0.806952 | − | 0.605014i | ||||
\(682\) | 10.3382 | − | 2.77010i | 0.395869 | − | 0.106073i | ||||
\(683\) | 6.66085 | − | 1.78477i | 0.254870 | − | 0.0682923i | −0.129121 | − | 0.991629i | \(-0.541216\pi\) |
0.383992 | + | 0.923336i | \(0.374549\pi\) | |||||||
\(684\) | −28.0313 | + | 26.8075i | −1.07180 | + | 1.02501i | ||||
\(685\) | 11.0676 | + | 4.85628i | 0.422872 | + | 0.185549i | ||||
\(686\) | −1.71704 | + | 41.6191i | −0.0655570 | + | 1.58902i | ||||
\(687\) | −15.1399 | − | 11.8880i | −0.577624 | − | 0.453554i | ||||
\(688\) | −2.08629 | − | 0.559020i | −0.0795391 | − | 0.0213124i | ||||
\(689\) | −6.62501 | + | 11.4749i | −0.252393 | + | 0.437157i | ||||
\(690\) | 20.6279 | − | 19.3504i | 0.785290 | − | 0.736657i | ||||
\(691\) | 22.7110 | + | 39.3365i | 0.863965 | + | 1.49643i | 0.868071 | + | 0.496440i | \(0.165360\pi\) |
−0.00410532 | + | 0.999992i | \(0.501307\pi\) | |||||||
\(692\) | 0.135914 | − | 0.135914i | 0.00516666 | − | 0.00516666i | ||||
\(693\) | −34.8405 | − | 7.44746i | −1.32348 | − | 0.282906i | ||||
\(694\) | 6.16593i | 0.234056i | ||||||||
\(695\) | 11.1323 | + | 8.91578i | 0.422272 | + | 0.338195i | ||||
\(696\) | −2.74061 | + | 6.41310i | −0.103882 | + | 0.243088i | ||||
\(697\) | 11.9687 | − | 3.20701i | 0.453347 | − | 0.121474i | ||||
\(698\) | −12.7951 | + | 47.7521i | −0.484304 | + | 1.80745i | ||||
\(699\) | −15.9327 | + | 1.91701i | −0.602631 | + | 0.0725080i | ||||
\(700\) | −27.6820 | + | 29.5097i | −1.04628 | + | 1.11536i | ||||
\(701\) | 39.7345i | 1.50075i | 0.661011 | + | 0.750377i | \(0.270128\pi\) | ||||
−0.661011 | + | 0.750377i | \(0.729872\pi\) | |||||||
\(702\) | 17.8350 | − | 1.74320i | 0.673140 | − | 0.0657930i | ||||
\(703\) | −6.52142 | − | 24.3383i | −0.245960 | − | 0.917935i | ||||
\(704\) | −29.2687 | + | 50.6950i | −1.10311 | + | 1.91064i | ||||
\(705\) | 17.3748 | + | 10.7855i | 0.654373 | + | 0.406206i | ||||
\(706\) | −20.4997 | −0.771518 | ||||||||
\(707\) | −19.6807 | − | 28.9457i | −0.740168 | − | 1.08861i | ||||
\(708\) | −19.5946 | − | 15.3858i | −0.736412 | − | 0.578235i | ||||
\(709\) | 33.3407 | − | 19.2493i | 1.25214 | − | 0.722921i | 0.280603 | − | 0.959824i | \(-0.409466\pi\) |
0.971533 | + | 0.236903i | \(0.0761323\pi\) | |||||||
\(710\) | 13.9026 | + | 18.9199i | 0.521755 | + | 0.710051i | ||||
\(711\) | 5.61592 | − | 19.2318i | 0.210613 | − | 0.721250i | ||||
\(712\) | 2.16516 | − | 8.08047i | 0.0811426 | − | 0.302828i | ||||
\(713\) | −2.43402 | − | 2.43402i | −0.0911549 | − | 0.0911549i | ||||
\(714\) | 21.8084 | + | 1.49695i | 0.816158 | + | 0.0560221i | ||||
\(715\) | 6.18383 | − | 14.0932i | 0.231262 | − | 0.527054i | ||||
\(716\) | −52.7520 | + | 30.4564i | −1.97144 | + | 1.13821i | ||||
\(717\) | 15.6171 | + | 38.9256i | 0.583230 | + | 1.45370i | ||||
\(718\) | −11.0210 | − | 41.1311i | −0.411302 | − | 1.53500i | ||||
\(719\) | −8.52509 | − | 14.7659i | −0.317932 | − | 0.550675i | 0.662124 | − | 0.749394i | \(-0.269655\pi\) |
−0.980056 | + | 0.198719i | \(0.936322\pi\) | |||||||
\(720\) | 4.18692 | − | 2.93504i | 0.156037 | − | 0.109383i | ||||
\(721\) | −7.05593 | − | 6.08783i | −0.262777 | − | 0.226723i | ||||
\(722\) | 1.80008 | − | 1.80008i | 0.0669920 | − | 0.0669920i | ||||
\(723\) | −17.3635 | − | 2.48332i | −0.645757 | − | 0.0923557i | ||||
\(724\) | 34.6652 | + | 20.0139i | 1.28832 | + | 0.743812i | ||||
\(725\) | −1.84719 | − | 8.25170i | −0.0686028 | − | 0.306460i | ||||
\(726\) | −28.5130 | + | 21.3776i | −1.05822 | + | 0.793399i | ||||
\(727\) | 2.20359 | + | 2.20359i | 0.0817265 | + | 0.0817265i | 0.746788 | − | 0.665062i | \(-0.231595\pi\) |
−0.665062 | + | 0.746788i | \(0.731595\pi\) | |||||||
\(728\) | −8.69707 | − | 4.20199i | −0.322335 | − | 0.155736i | ||||
\(729\) | 17.7721 | + | 20.3261i | 0.658227 | + | 0.752820i | ||||
\(730\) | −17.1513 | − | 13.7363i | −0.634797 | − | 0.508405i | ||||
\(731\) | 5.20469 | + | 3.00493i | 0.192503 | + | 0.111141i | ||||
\(732\) | 38.2348 | − | 15.3399i | 1.41320 | − | 0.566979i | ||||
\(733\) | 21.3972 | + | 5.73337i | 0.790325 | + | 0.211767i | 0.631332 | − | 0.775513i | \(-0.282509\pi\) |
0.158993 | + | 0.987280i | \(0.449175\pi\) | |||||||
\(734\) | −6.27489 | −0.231610 | ||||||||
\(735\) | −9.97789 | − | 25.2080i | −0.368040 | − | 0.929810i | ||||
\(736\) | 21.0275 | 0.775083 | ||||||||
\(737\) | −2.55680 | − | 0.685093i | −0.0941810 | − | 0.0252357i | ||||
\(738\) | −18.9436 | − | 34.5702i | −0.697323 | − | 1.27255i | ||||
\(739\) | −27.9866 | − | 16.1581i | −1.02950 | − | 0.594384i | −0.112661 | − | 0.993634i | \(-0.535937\pi\) |
−0.916842 | + | 0.399250i | \(0.869271\pi\) | |||||||
\(740\) | −4.47992 | − | 40.5204i | −0.164685 | − | 1.48956i | ||||
\(741\) | 11.1461 | − | 1.34108i | 0.409461 | − | 0.0492659i | ||||
\(742\) | 46.2999 | + | 22.3698i | 1.69972 | + | 0.821221i | ||||
\(743\) | −19.2303 | − | 19.2303i | −0.705491 | − | 0.705491i | 0.260093 | − | 0.965584i | \(-0.416247\pi\) |
−0.965584 | + | 0.260093i | \(0.916247\pi\) | |||||||
\(744\) | 2.62258 | + | 3.49793i | 0.0961485 | + | 0.128240i | ||||
\(745\) | 24.5043 | + | 3.74576i | 0.897768 | + | 0.137234i | ||||
\(746\) | −23.7126 | − | 13.6905i | −0.868182 | − | 0.501245i | ||||
\(747\) | −46.9598 | − | 1.04796i | −1.71817 | − | 0.0383430i | ||||
\(748\) | 20.5893 | − | 20.5893i | 0.752818 | − | 0.752818i | ||||
\(749\) | 18.6345 | + | 16.0777i | 0.680889 | + | 0.587468i | ||||
\(750\) | 14.3323 | − | 41.1285i | 0.523343 | − | 1.50180i | ||||
\(751\) | 7.57272 | + | 13.1163i | 0.276332 | + | 0.478622i | 0.970470 | − | 0.241220i | \(-0.0775476\pi\) |
−0.694138 | + | 0.719842i | \(0.744214\pi\) | |||||||
\(752\) | 1.04168 | + | 3.88761i | 0.0379862 | + | 0.141766i | ||||
\(753\) | 34.9443 | − | 14.0197i | 1.27344 | − | 0.510908i | ||||
\(754\) | 5.05101 | − | 2.91620i | 0.183947 | − | 0.106202i | ||||
\(755\) | −8.57215 | − | 21.9763i | −0.311973 | − | 0.799798i | ||||
\(756\) | −7.15338 | − | 41.4356i | −0.260166 | − | 1.50700i | ||||
\(757\) | −14.0801 | − | 14.0801i | −0.511751 | − | 0.511751i | 0.403312 | − | 0.915063i | \(-0.367859\pi\) |
−0.915063 | + | 0.403312i | \(0.867859\pi\) | |||||||
\(758\) | 7.99018 | − | 29.8198i | 0.290216 | − | 1.08310i | ||||
\(759\) | 23.2126 | + | 9.91979i | 0.842564 | + | 0.360066i | ||||
\(760\) | −18.1347 | + | 13.3257i | −0.657816 | + | 0.483372i | ||||
\(761\) | −5.22504 | + | 3.01668i | −0.189407 | + | 0.109354i | −0.591705 | − | 0.806154i | \(-0.701545\pi\) |
0.402298 | + | 0.915509i | \(0.368212\pi\) | |||||||
\(762\) | −20.8420 | + | 26.5433i | −0.755026 | + | 0.961564i | ||||
\(763\) | 28.1091 | + | 41.3418i | 1.01762 | + | 1.49668i | ||||
\(764\) | 35.3498 | 1.27891 | ||||||||
\(765\) | −13.3668 | + | 4.87319i | −0.483278 | + | 0.176191i | ||||
\(766\) | −38.3375 | + | 66.4026i | −1.38519 | + | 2.39922i | ||||
\(767\) | 1.86633 | + | 6.96524i | 0.0673893 | + | 0.251500i | ||||
\(768\) | −18.4428 | − | 2.63768i | −0.665498 | − | 0.0951790i | ||||
\(769\) | 1.18821i | 0.0428478i | 0.999770 | + | 0.0214239i | \(0.00681996\pi\) | ||||
−0.999770 | + | 0.0214239i | \(0.993180\pi\) | |||||||
\(770\) | −56.3078 | − | 19.9159i | −2.02919 | − | 0.717718i | ||||
\(771\) | −0.660162 | − | 5.48676i | −0.0237752 | − | 0.197601i | ||||
\(772\) | −11.1411 | + | 41.5792i | −0.400977 | + | 1.49647i | ||||
\(773\) | 35.2397 | − | 9.44244i | 1.26748 | − | 0.339621i | 0.438416 | − | 0.898772i | \(-0.355539\pi\) |
0.829066 | + | 0.559151i | \(0.188873\pi\) | |||||||
\(774\) | 5.35934 | − | 18.3532i | 0.192638 | − | 0.659692i | ||||
\(775\) | −5.05871 | − | 1.58356i | −0.181714 | − | 0.0568832i | ||||
\(776\) | 18.8714i | 0.677444i | ||||||||
\(777\) | 25.8391 | + | 8.86014i | 0.926971 | + | 0.317856i | ||||
\(778\) | −54.2495 | + | 54.2495i | −1.94494 | + | 1.94494i | ||||
\(779\) | −12.3479 | − | 21.3872i | −0.442410 | − | 0.766277i | ||||
\(780\) | 18.1546 | + | 0.580119i | 0.650039 | + | 0.0207716i | ||||
\(781\) | −10.4775 | + | 18.1476i | −0.374915 | + | 0.649372i | ||||
\(782\) | −14.9606 | − | 4.00868i | −0.534989 | − | 0.143350i | ||||
\(783\) | 8.00165 | + | 3.63268i | 0.285956 | + | 0.129821i | ||||
\(784\) | 1.96200 | − | 4.96179i | 0.0700716 | − | 0.177207i | ||||
\(785\) | −2.99422 | + | 6.82393i | −0.106868 | + | 0.243556i | ||||
\(786\) | −40.9744 | − | 54.6507i | −1.46151 | − | 1.94932i | ||||
\(787\) | 47.2742 | − | 12.6671i | 1.68514 | − | 0.451533i | 0.716015 | − | 0.698085i | \(-0.245964\pi\) |
0.969130 | + | 0.246552i | \(0.0792975\pi\) | |||||||
\(788\) | 72.5920 | − | 19.4510i | 2.58598 | − | 0.692912i | ||||
\(789\) | 28.4417 | + | 37.9348i | 1.01255 | + | 1.35052i | ||||
\(790\) | 13.4953 | − | 30.7563i | 0.480141 | − | 1.09426i | ||||
\(791\) | 10.6779 | + | 30.6411i | 0.379661 | + | 1.08947i | ||||
\(792\) | −27.4011 | − | 16.6460i | −0.973655 | − | 0.591489i | ||||
\(793\) | −11.5179 | − | 3.08621i | −0.409012 | − | 0.109594i | ||||
\(794\) | 15.7986 | − | 27.3640i | 0.560672 | − | 0.971113i | ||||
\(795\) | −33.4502 | − | 1.06888i | −1.18636 | − | 0.0379093i | ||||
\(796\) | 22.1150 | + | 38.3044i | 0.783846 | + | 1.35766i | ||||
\(797\) | −22.7608 | + | 22.7608i | −0.806231 | + | 0.806231i | −0.984061 | − | 0.177831i | \(-0.943092\pi\) |
0.177831 | + | 0.984061i | \(0.443092\pi\) | |||||||
\(798\) | −8.36780 | − | 42.7565i | −0.296217 | − | 1.51356i | ||||
\(799\) | − | 11.1988i | − | 0.396185i | ||||||
\(800\) | 28.6912 | − | 15.0108i | 1.01439 | − | 0.530714i | ||||
\(801\) | −10.1182 | − | 2.95464i | −0.357511 | − | 0.104397i | ||||
\(802\) | −38.0022 | + | 10.1827i | −1.34191 | + | 0.359563i | ||||
\(803\) | 5.07598 | − | 18.9438i | 0.179127 | − | 0.668513i | ||||
\(804\) | −0.373192 | − | 3.10168i | −0.0131614 | − | 0.109388i | ||||
\(805\) | 3.50764 | + | 18.8860i | 0.123628 | + | 0.665645i | ||||
\(806\) | − | 3.65616i | − | 0.128783i | ||||||
\(807\) | −8.23487 | − | 1.17774i | −0.289881 | − | 0.0414586i | ||||
\(808\) | −8.15243 | − | 30.4253i | −0.286802 | − | 1.07036i | ||||
\(809\) | −18.2238 | + | 31.5645i | −0.640714 | + | 1.10975i | 0.344559 | + | 0.938765i | \(0.388028\pi\) |
−0.985274 | + | 0.170985i | \(0.945305\pi\) | |||||||
\(810\) | 25.1481 | + | 37.6337i | 0.883615 | + | 1.32232i | ||||
\(811\) | −44.6773 | −1.56883 | −0.784416 | − | 0.620236i | \(-0.787037\pi\) | ||||
−0.784416 | + | 0.620236i | \(0.787037\pi\) | |||||||
\(812\) | −7.69486 | − | 11.3173i | −0.270037 | − | 0.397160i | ||||
\(813\) | −6.95782 | + | 8.86114i | −0.244021 | + | 0.310774i | ||||
\(814\) | 52.1155 | − | 30.0889i | 1.82665 | − | 1.05462i | ||||
\(815\) | 12.8700 | − | 9.45710i | 0.450818 | − | 0.331268i | ||||
\(816\) | −2.57480 | − | 1.10033i | −0.0901360 | − | 0.0385192i | ||||
\(817\) | 3.10014 | − | 11.5699i | 0.108460 | − | 0.404778i | ||||
\(818\) | −21.3904 | − | 21.3904i | −0.747898 | − | 0.747898i | ||||
\(819\) | −5.53781 | + | 10.8377i | −0.193507 | + | 0.378701i | ||||
\(820\) | −14.5201 | − | 37.2250i | −0.507066 | − | 1.29995i | ||||
\(821\) | −15.1484 | + | 8.74591i | −0.528682 | + | 0.305235i | −0.740479 | − | 0.672079i | \(-0.765402\pi\) |
0.211798 | + | 0.977314i | \(0.432068\pi\) | |||||||
\(822\) | −19.5420 | + | 7.84032i | −0.681607 | + | 0.273463i | ||||
\(823\) | 5.51289 | + | 20.5744i | 0.192167 | + | 0.717178i | 0.992982 | + | 0.118266i | \(0.0377336\pi\) |
−0.800815 | + | 0.598912i | \(0.795600\pi\) | |||||||
\(824\) | −4.19315 | − | 7.26275i | −0.146075 | − | 0.253010i | ||||
\(825\) | 38.7542 | − | 3.03555i | 1.34925 | − | 0.105684i | ||||
\(826\) | 26.4257 | − | 9.20886i | 0.919467 | − | 0.320417i | ||||
\(827\) | 2.51526 | − | 2.51526i | 0.0874643 | − | 0.0874643i | −0.662021 | − | 0.749485i | \(-0.730301\pi\) |
0.749485 | + | 0.662021i | \(0.230301\pi\) | |||||||
\(828\) | −0.664698 | + | 29.7854i | −0.0230998 | + | 1.03512i | ||||
\(829\) | 46.6309 | + | 26.9224i | 1.61956 | + | 0.935053i | 0.987034 | + | 0.160513i | \(0.0513147\pi\) |
0.632525 | + | 0.774540i | \(0.282019\pi\) | |||||||
\(830\) | −77.8389 | − | 11.8985i | −2.70183 | − | 0.413005i | ||||
\(831\) | −1.27325 | − | 1.69823i | −0.0441685 | − | 0.0589109i | ||||
\(832\) | 14.1399 | + | 14.1399i | 0.490212 | + | 0.490212i | ||||
\(833\) | −8.84652 | + | 11.9227i | −0.306514 | + | 0.413098i | ||||
\(834\) | −24.6697 | + | 2.96824i | −0.854243 | + | 0.102782i | ||||
\(835\) | −4.13678 | − | 37.4168i | −0.143159 | − | 1.29486i | ||||
\(836\) | −50.2582 | − | 29.0166i | −1.73821 | − | 1.00356i | ||||
\(837\) | 4.48013 | − | 3.20538i | 0.154856 | − | 0.110794i | ||||
\(838\) | −76.0450 | − | 20.3762i | −2.62693 | − | 0.703884i | ||||
\(839\) | −0.570619 | −0.0196999 | −0.00984997 | − | 0.999951i | \(-0.503135\pi\) | ||||
−0.00984997 | + | 0.999951i | \(0.503135\pi\) | |||||||
\(840\) | −1.01410 | − | 24.3758i | −0.0349897 | − | 0.841045i | ||||
\(841\) | −26.1399 | −0.901376 | ||||||||
\(842\) | −22.6440 | − | 6.06745i | −0.780365 | − | 0.209098i | ||||
\(843\) | −20.6700 | + | 8.29288i | −0.711914 | + | 0.285622i | ||||
\(844\) | −33.5070 | − | 19.3453i | −1.15336 | − | 0.665892i | ||||
\(845\) | 18.5856 | + | 14.8851i | 0.639363 | + | 0.512062i | ||||
\(846\) | −34.6109 | + | 8.45104i | −1.18995 | + | 0.290553i | ||||
\(847\) | −1.77788 | − | 24.1379i | −0.0610886 | − | 0.829388i | ||||
\(848\) | −4.65743 | − | 4.65743i | −0.159937 | − | 0.159937i | ||||
\(849\) | −2.01339 | + | 1.50954i | −0.0690992 | + | 0.0518073i | ||||
\(850\) | −23.2748 | + | 5.21020i | −0.798320 | + | 0.178708i | ||||
\(851\) | −16.7613 | − | 9.67713i | −0.574569 | − | 0.331728i | ||||
\(852\) | −24.4826 | − | 3.50148i | −0.838759 | − | 0.119959i | ||||
\(853\) | −22.3992 | + | 22.3992i | −0.766933 | + | 0.766933i | −0.977565 | − | 0.210632i | \(-0.932448\pi\) |
0.210632 | + | 0.977565i | \(0.432448\pi\) | |||||||
\(854\) | −8.66122 | + | 45.4576i | −0.296381 | + | 1.55553i | ||||
\(855\) | 16.2768 | + | 23.2192i | 0.556653 | + | 0.794082i | ||||
\(856\) | 11.0740 | + | 19.1807i | 0.378500 | + | 0.655582i | ||||
\(857\) | −9.94884 | − | 37.1296i | −0.339846 | − | 1.26832i | −0.898519 | − | 0.438934i | \(-0.855356\pi\) |
0.558673 | − | 0.829388i | \(-0.311311\pi\) | |||||||
\(858\) | 9.98361 | + | 24.8842i | 0.340835 | + | 0.849533i | ||||
\(859\) | −18.7844 | + | 10.8452i | −0.640916 | + | 0.370033i | −0.784967 | − | 0.619537i | \(-0.787320\pi\) |
0.144051 | + | 0.989570i | \(0.453987\pi\) | |||||||
\(860\) | 7.78690 | − | 17.7466i | 0.265531 | − | 0.605155i | ||||
\(861\) | 26.7099 | + | 1.83340i | 0.910272 | + | 0.0624822i | ||||
\(862\) | −25.2233 | − | 25.2233i | −0.859111 | − | 0.859111i | ||||
\(863\) | −6.93121 | + | 25.8676i | −0.235941 | + | 0.880545i | 0.741781 | + | 0.670642i | \(0.233981\pi\) |
−0.977722 | + | 0.209903i | \(0.932685\pi\) | |||||||
\(864\) | −5.50629 | + | 33.1975i | −0.187328 | + | 1.12940i | ||||
\(865\) | −0.0832083 | − | 0.113237i | −0.00282917 | − | 0.00385018i | ||||
\(866\) | 70.7094 | − | 40.8241i | 2.40280 | − | 1.38726i | ||||
\(867\) | −17.0309 | − | 13.3728i | −0.578401 | − | 0.454164i | ||||
\(868\) | −8.55586 | + | 0.630182i | −0.290405 | + | 0.0213898i | ||||
\(869\) | 29.9767 | 1.01689 | ||||||||
\(870\) | 12.5162 | + | 7.76953i | 0.424339 | + | 0.263412i | ||||
\(871\) | −0.452115 | + | 0.783087i | −0.0153193 | + | 0.0265339i | ||||
\(872\) | 11.6438 | + | 43.4551i | 0.394308 | + | 1.47158i | ||||
\(873\) | 23.7726 | + | 0.530515i | 0.804582 | + | 0.0179552i | ||||
\(874\) | 30.8692i | 1.04416i | ||||||||
\(875\) | 18.2682 | + | 23.2653i | 0.617577 | + | 0.786510i | ||||
\(876\) | 22.9810 | − | 2.76505i | 0.776454 | − | 0.0934223i | ||||
\(877\) | −4.86854 | + | 18.1696i | −0.164399 | + | 0.613545i | 0.833717 | + | 0.552192i | \(0.186208\pi\) |
−0.998116 | + | 0.0613532i | \(0.980458\pi\) | |||||||
\(878\) | −46.6072 | + | 12.4884i | −1.57292 | + | 0.421462i | ||||
\(879\) | −1.28314 | + | 3.00258i | −0.0432792 | + | 0.101275i | ||||
\(880\) | 5.97140 | + | 4.78246i | 0.201296 | + | 0.161217i | ||||
\(881\) | 36.9520i | 1.24495i | 0.782642 | + | 0.622473i | \(0.213872\pi\) | ||||
−0.782642 | + | 0.622473i | \(0.786128\pi\) | |||||||
\(882\) | 43.5241 | + | 18.3436i | 1.46553 | + | 0.617661i | ||||
\(883\) | 33.9375 | − | 33.9375i | 1.14209 | − | 1.14209i | 0.154022 | − | 0.988067i | \(-0.450777\pi\) |
0.988067 | − | 0.154022i | \(-0.0492225\pi\) | |||||||
\(884\) | −4.97339 | − | 8.61416i | −0.167273 | − | 0.289726i | ||||
\(885\) | −13.2837 | + | 12.4611i | −0.446528 | + | 0.418874i | ||||
\(886\) | 25.8312 | − | 44.7409i | 0.867815 | − | 1.50310i | ||||
\(887\) | 7.20707 | + | 1.93113i | 0.241990 | + | 0.0648410i | 0.377775 | − | 0.925897i | \(-0.376689\pi\) |
−0.135786 | + | 0.990738i | \(0.543356\pi\) | |||||||
\(888\) | 19.3336 | + | 15.1808i | 0.648793 | + | 0.509436i | ||||
\(889\) | −7.54251 | − | 21.6439i | −0.252968 | − | 0.725914i | ||||
\(890\) | −16.1815 | − | 7.10014i | −0.542404 | − | 0.237997i | ||||
\(891\) | −21.7395 | + | 34.0497i | −0.728302 | + | 1.14071i | ||||
\(892\) | 62.6222 | − | 16.7796i | 2.09675 | − | 0.561821i | ||||
\(893\) | −21.5593 | + | 5.77681i | −0.721456 | + | 0.193314i | ||||
\(894\) | −34.5533 | + | 25.9064i | −1.15564 | + | 0.866440i | ||||
\(895\) | 16.1828 | + | 41.4876i | 0.540932 | + | 1.38678i | ||||
\(896\) | 28.3089 | − | 32.8106i | 0.945733 | − | 1.09613i | ||||
\(897\) | 5.32552 | − | 6.78233i | 0.177814 | − | 0.226455i | ||||
\(898\) | 34.9693 | + | 9.37000i | 1.16694 | + | 0.312681i | ||||
\(899\) | 0.896459 | − | 1.55271i | 0.0298986 | − | 0.0517858i | ||||
\(900\) | 20.3559 | + | 41.1157i | 0.678531 | + | 1.37052i | ||||
\(901\) | 9.16357 | + | 15.8718i | 0.305283 | + | 0.528765i | ||||
\(902\) | 41.7061 | − | 41.7061i | 1.38866 | − | 1.38866i | ||||
\(903\) | 8.53170 | + | 9.78928i | 0.283917 | + | 0.325767i | ||||
\(904\) | 29.2001i | 0.971179i | ||||||||
\(905\) | 18.2932 | − | 22.8410i | 0.608088 | − | 0.759262i | ||||
\(906\) | 37.7898 | + | 16.1493i | 1.25548 | + | 0.536525i | ||||
\(907\) | 51.6770 | − | 13.8468i | 1.71591 | − | 0.459776i | 0.739046 | − | 0.673655i | \(-0.235277\pi\) |
0.976860 | + | 0.213879i | \(0.0686100\pi\) | |||||||
\(908\) | −12.0292 | + | 44.8935i | −0.399202 | + | 1.48984i | ||||
\(909\) | −38.5565 | + | 9.41444i | −1.27884 | + | 0.312257i | ||||
\(910\) | −11.5500 | + | 16.8188i | −0.382878 | + | 0.557539i | ||||
\(911\) | 25.7854i | 0.854307i | 0.904179 | + | 0.427154i | \(0.140484\pi\) | ||||
−0.904179 | + | 0.427154i | \(0.859516\pi\) | |||||||
\(912\) | −0.790104 | + | 5.52446i | −0.0261630 | + | 0.182933i | ||||
\(913\) | −18.1897 | − | 67.8848i | −0.601990 | − | 2.24666i | ||||
\(914\) | 20.5590 | − | 35.6093i | 0.680032 | − | 1.17785i | ||||
\(915\) | −6.86210 | − | 29.3263i | −0.226854 | − | 0.969498i | ||||
\(916\) | 33.9921 | 1.12313 | ||||||||
\(917\) | 46.2650 | − | 3.40765i | 1.52781 | − | 0.112530i | ||||
\(918\) | 10.2464 | − | 22.5696i | 0.338181 | − | 0.744906i | ||||
\(919\) | −0.740746 | + | 0.427670i | −0.0244350 | + | 0.0141075i | −0.512168 | − | 0.858885i | \(-0.671157\pi\) |
0.487733 | + | 0.872993i | \(0.337824\pi\) | |||||||
\(920\) | −2.61202 | + | 17.0876i | −0.0861159 | + | 0.563360i | ||||
\(921\) | 8.99922 | − | 21.0584i | 0.296534 | − | 0.693899i | ||||
\(922\) | −6.41327 | + | 23.9347i | −0.211210 | + | 0.788246i | ||||
\(923\) | 5.06174 | + | 5.06174i | 0.166609 | + | 0.166609i | ||||
\(924\) | 56.5112 | − | 27.6519i | 1.85908 | − | 0.909681i | ||||
\(925\) | −29.7784 | − | 1.23874i | −0.979106 | − | 0.0407294i | ||||
\(926\) | 45.7679 | − | 26.4241i | 1.50403 | − | 0.868351i | ||||
\(927\) | −9.26689 | + | 5.07801i | −0.304365 | + | 0.166784i | ||||
\(928\) | 2.83468 | + | 10.5792i | 0.0930528 | + | 0.347278i | ||||
\(929\) | −22.5151 | − | 38.9973i | −0.738697 | − | 1.27946i | −0.953082 | − | 0.302712i | \(-0.902108\pi\) |
0.214385 | − | 0.976749i | \(-0.431225\pi\) | |||||||
\(930\) | 8.14100 | − | 4.35964i | 0.266954 | − | 0.142958i | ||||
\(931\) | 27.5164 | + | 10.8806i | 0.901813 | + | 0.356598i | ||||
\(932\) | 20.0381 | − | 20.0381i | 0.656369 | − | 0.656369i | ||||
\(933\) | 1.77905 | − | 12.4393i | 0.0582436 | − | 0.407243i | ||||
\(934\) | −39.5516 | − | 22.8351i | −1.29417 | − | 0.747189i | ||||
\(935\) | −12.6051 | − | 17.1541i | −0.412229 | − | 0.560998i | ||||
\(936\) | −7.91526 | + | 7.56970i | −0.258718 | + | 0.247423i | ||||
\(937\) | −8.85926 | − | 8.85926i | −0.289419 | − | 0.289419i | 0.547431 | − | 0.836851i | \(-0.315606\pi\) |
−0.836851 | + | 0.547431i | \(0.815606\pi\) | |||||||
\(938\) | 3.15968 | + | 1.52660i | 0.103167 | + | 0.0498452i | ||||
\(939\) | 4.62992 | + | 38.4804i | 0.151092 | + | 1.25576i | ||||
\(940\) | −35.8938 | + | 3.96840i | −1.17073 | + | 0.129435i | ||||
\(941\) | 29.2694 | + | 16.8987i | 0.954155 | + | 0.550882i | 0.894369 | − | 0.447330i | \(-0.147625\pi\) |
0.0597857 | + | 0.998211i | \(0.480958\pi\) | |||||||
\(942\) | −4.83408 | − | 12.0490i | −0.157503 | − | 0.392576i | ||||
\(943\) | −18.3231 | − | 4.90965i | −0.596681 | − | 0.159880i | ||||
\(944\) | −3.58457 | −0.116668 | ||||||||
\(945\) | −30.7351 | + | 0.592222i | −0.999814 | + | 0.0192650i | ||||
\(946\) | 28.6072 | 0.930100 | ||||||||
\(947\) | 11.1331 | + | 2.98312i | 0.361778 | + | 0.0969382i | 0.435129 | − | 0.900368i | \(-0.356703\pi\) |
−0.0733510 | + | 0.997306i | \(0.523369\pi\) | |||||||
\(948\) | 13.1736 | + | 32.8353i | 0.427858 | + | 1.06644i | ||||
\(949\) | −5.80204 | − | 3.34981i | −0.188342 | − | 0.108739i | ||||
\(950\) | 22.0365 | + | 42.1198i | 0.714959 | + | 1.36655i | ||||
\(951\) | 4.17893 | + | 34.7321i | 0.135511 | + | 1.12626i | ||||
\(952\) | −11.0482 | + | 7.51189i | −0.358075 | + | 0.243462i | ||||
\(953\) | −7.06925 | − | 7.06925i | −0.228995 | − | 0.228995i | 0.583278 | − | 0.812273i | \(-0.301770\pi\) |
−0.812273 | + | 0.583278i | \(0.801770\pi\) | |||||||
\(954\) | 42.1379 | − | 40.2982i | 1.36426 | − | 1.30470i | ||||
\(955\) | 3.90510 | − | 25.5467i | 0.126366 | − | 0.826673i | ||||
\(956\) | −64.1409 | − | 37.0318i | −2.07447 | − | 1.19769i | ||||
\(957\) | −1.86151 | + | 13.0158i | −0.0601740 | + | 0.420741i | ||||
\(958\) | 8.77886 | − | 8.77886i | 0.283632 | − | 0.283632i | ||||
\(959\) | 2.67659 | − | 14.0478i | 0.0864316 | − | 0.453629i | ||||
\(960\) | −14.6241 | + | 48.3450i | −0.471989 | + | 1.56033i | ||||
\(961\) | 14.9380 | + | 25.8734i | 0.481872 | + | 0.834627i | ||||
\(962\) | −5.32058 | − | 19.8567i | −0.171542 | − | 0.640205i | ||||
\(963\) | 24.4735 | − | 13.4109i | 0.788649 | − | 0.432159i | ||||
\(964\) | 26.8241 | − | 15.4869i | 0.863947 | − | 0.498800i | ||||
\(965\) | 28.8179 | + | 12.6448i | 0.927681 | + | 0.407050i | ||||
\(966\) | −27.7679 | − | 18.6780i | −0.893418 | − | 0.600956i | ||||
\(967\) | −26.2079 | − | 26.2079i | −0.842788 | − | 0.842788i | 0.146433 | − | 0.989221i | \(-0.453221\pi\) |
−0.989221 | + | 0.146433i | \(0.953221\pi\) | |||||||
\(968\) | 5.63718 | − | 21.0382i | 0.181186 | − | 0.676194i | ||||
\(969\) | 6.10205 | − | 14.2790i | 0.196026 | − | 0.458706i | ||||
\(970\) | 39.4047 | + | 6.02345i | 1.26521 | + | 0.193401i | ||||
\(971\) | 29.2322 | − | 16.8772i | 0.938107 | − | 0.541617i | 0.0487408 | − | 0.998811i | \(-0.484479\pi\) |
0.889367 | + | 0.457195i | \(0.151146\pi\) | |||||||
\(972\) | −46.8502 | − | 8.84908i | −1.50272 | − | 0.283834i | ||||
\(973\) | 7.34147 | − | 15.1950i | 0.235357 | − | 0.487130i | ||||
\(974\) | 19.2441 | 0.616620 | ||||||||
\(975\) | 2.42479 | − | 13.0560i | 0.0776554 | − | 0.418125i | ||||
\(976\) | 2.96376 | − | 5.13339i | 0.0948677 | − | 0.164316i | ||||
\(977\) | 8.53162 | + | 31.8405i | 0.272951 | + | 1.01867i | 0.957202 | + | 0.289420i | \(0.0934625\pi\) |
−0.684251 | + | 0.729246i | \(0.739871\pi\) | |||||||
\(978\) | −3.93932 | + | 27.5440i | −0.125966 | + | 0.880760i | ||||
\(979\) | − | 15.7713i | − | 0.504054i | ||||||
\(980\) | 41.3489 | + | 24.1294i | 1.32084 | + | 0.770786i | ||||
\(981\) | 55.0685 | − | 13.4462i | 1.75820 | − | 0.429306i | ||||
\(982\) | −3.49377 | + | 13.0389i | −0.111491 | + | 0.416089i | ||||
\(983\) | −33.3398 | + | 8.93338i | −1.06338 | + | 0.284931i | −0.747768 | − | 0.663960i | \(-0.768875\pi\) |
−0.315607 | + | 0.948890i | \(0.602208\pi\) | |||||||
\(984\) | 22.1545 | + | 9.46760i | 0.706259 | + | 0.301816i | ||||
\(985\) | −6.03765 | − | 54.6099i | −0.192376 | − | 1.74002i | ||||
\(986\) | − | 8.06725i | − | 0.256913i | ||||||
\(987\) | 7.84850 | − | 22.8888i | 0.249820 | − | 0.728558i | ||||
\(988\) | −14.0180 | + | 14.0180i | −0.445973 | + | 0.445973i | ||||
\(989\) | −4.60029 | − | 7.96794i | −0.146281 | − | 0.253366i | ||||
\(990\) | −43.5039 | + | 51.9021i | −1.38264 | + | 1.64956i | ||||
\(991\) | 4.64010 | − | 8.03689i | 0.147398 | − | 0.255300i | −0.782867 | − | 0.622189i | \(-0.786244\pi\) |
0.930265 | + | 0.366889i | \(0.119577\pi\) | |||||||
\(992\) | 6.63177 | + | 1.77698i | 0.210559 | + | 0.0564191i | ||||
\(993\) | −6.71943 | + | 8.55754i | −0.213235 | + | 0.271565i | ||||
\(994\) | 18.1476 | − | 21.0335i | 0.575607 | − | 0.667141i | ||||
\(995\) | 30.1250 | − | 11.7507i | 0.955028 | − | 0.372522i | ||||
\(996\) | 66.3645 | − | 49.7569i | 2.10284 | − | 1.57661i | ||||
\(997\) | −57.8191 | + | 15.4926i | −1.83115 | + | 0.490655i | −0.998047 | − | 0.0624669i | \(-0.980103\pi\) |
−0.833101 | + | 0.553121i | \(0.813437\pi\) | |||||||
\(998\) | 46.0406 | − | 12.3365i | 1.45739 | − | 0.390506i | ||||
\(999\) | 19.6671 | − | 23.9281i | 0.622239 | − | 0.757051i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))