Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [170,2,Mod(3,170)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(170, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([12, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("170.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 170 = 2 \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 170.o (of order \(16\), 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: | \(1.35745683436\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Character | \(\chi\) | \(=\) | 170.3 |
Dual form | 170.2.o.a.57.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/170\mathbb{Z}\right)^\times\).
\(n\) | \(71\) | \(137\) |
\(\chi(n)\) | \(e\left(\frac{1}{16}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.382683 | + | 0.923880i | −0.270598 | + | 0.653281i | ||||
\(3\) | −0.800867 | − | 1.19858i | −0.462381 | − | 0.692001i | 0.524869 | − | 0.851183i | \(-0.324114\pi\) |
−0.987249 | + | 0.159182i | \(0.949114\pi\) | |||||||
\(4\) | −0.707107 | − | 0.707107i | −0.353553 | − | 0.353553i | ||||
\(5\) | −0.598768 | + | 2.15441i | −0.267777 | + | 0.963481i | ||||
\(6\) | 1.41382 | − | 0.281227i | 0.577191 | − | 0.114810i | ||||
\(7\) | 0.660909 | + | 3.32261i | 0.249800 | + | 1.25583i | 0.878334 | + | 0.478048i | \(0.158655\pi\) |
−0.628534 | + | 0.777782i | \(0.716345\pi\) | |||||||
\(8\) | 0.923880 | − | 0.382683i | 0.326641 | − | 0.135299i | ||||
\(9\) | 0.352840 | − | 0.851831i | 0.117613 | − | 0.283944i | ||||
\(10\) | −1.76128 | − | 1.37765i | −0.556964 | − | 0.435650i | ||||
\(11\) | 0.778556 | + | 3.91407i | 0.234743 | + | 1.18014i | 0.900800 | + | 0.434234i | \(0.142981\pi\) |
−0.666057 | + | 0.745901i | \(0.732019\pi\) | |||||||
\(12\) | −0.281227 | + | 1.41382i | −0.0811832 | + | 0.408136i | ||||
\(13\) | 4.10923i | 1.13970i | 0.821750 | + | 0.569848i | \(0.192998\pi\) | ||||
−0.821750 | + | 0.569848i | \(0.807002\pi\) | |||||||
\(14\) | −3.32261 | − | 0.660909i | −0.888006 | − | 0.176635i | ||||
\(15\) | 3.06177 | − | 1.00772i | 0.790545 | − | 0.260192i | ||||
\(16\) | 1.00000i | 0.250000i | ||||||||
\(17\) | 2.71444 | + | 3.10352i | 0.658348 | + | 0.752714i | ||||
\(18\) | 0.651963 | + | 0.651963i | 0.153669 | + | 0.153669i | ||||
\(19\) | −2.45357 | − | 5.92345i | −0.562888 | − | 1.35893i | −0.907447 | − | 0.420167i | \(-0.861972\pi\) |
0.344559 | − | 0.938765i | \(-0.388028\pi\) | |||||||
\(20\) | 1.94679 | − | 1.10000i | 0.435315 | − | 0.245968i | ||||
\(21\) | 3.45312 | − | 3.45312i | 0.753533 | − | 0.753533i | ||||
\(22\) | −3.91407 | − | 0.778556i | −0.834482 | − | 0.165989i | ||||
\(23\) | −2.73008 | − | 1.82418i | −0.569261 | − | 0.380368i | 0.237374 | − | 0.971418i | \(-0.423713\pi\) |
−0.806635 | + | 0.591050i | \(0.798713\pi\) | |||||||
\(24\) | −1.19858 | − | 0.800867i | −0.244659 | − | 0.163476i | ||||
\(25\) | −4.28295 | − | 2.57998i | −0.856591 | − | 0.515997i | ||||
\(26\) | −3.79643 | − | 1.57253i | −0.744542 | − | 0.308399i | ||||
\(27\) | −5.54504 | + | 1.10298i | −1.06714 | + | 0.212268i | ||||
\(28\) | 1.88211 | − | 2.81678i | 0.355685 | − | 0.532321i | ||||
\(29\) | 4.93652 | + | 7.38803i | 0.916689 | + | 1.37192i | 0.928237 | + | 0.371989i | \(0.121324\pi\) |
−0.0115476 | + | 0.999933i | \(0.503676\pi\) | |||||||
\(30\) | −0.240675 | + | 3.21434i | −0.0439410 | + | 0.586856i | ||||
\(31\) | 2.05047 | − | 10.3084i | 0.368275 | − | 1.85144i | −0.139869 | − | 0.990170i | \(-0.544668\pi\) |
0.508144 | − | 0.861272i | \(-0.330332\pi\) | |||||||
\(32\) | −0.923880 | − | 0.382683i | −0.163320 | − | 0.0676495i | ||||
\(33\) | 4.06781 | − | 4.06781i | 0.708114 | − | 0.708114i | ||||
\(34\) | −3.90605 | + | 1.32015i | −0.669882 | + | 0.226403i | ||||
\(35\) | −7.55400 | − | 0.565608i | −1.27686 | − | 0.0956052i | ||||
\(36\) | −0.851831 | + | 0.352840i | −0.141972 | + | 0.0588067i | ||||
\(37\) | 5.26741 | − | 3.51957i | 0.865957 | − | 0.578614i | −0.0413208 | − | 0.999146i | \(-0.513157\pi\) |
0.907278 | + | 0.420532i | \(0.138157\pi\) | |||||||
\(38\) | 6.41149 | 1.04008 | ||||||||
\(39\) | 4.92525 | − | 3.29095i | 0.788671 | − | 0.526973i | ||||
\(40\) | 0.271267 | + | 2.21955i | 0.0428910 | + | 0.350942i | ||||
\(41\) | 0.637150 | − | 0.953562i | 0.0995060 | − | 0.148921i | −0.778376 | − | 0.627799i | \(-0.783956\pi\) |
0.877882 | + | 0.478877i | \(0.158956\pi\) | |||||||
\(42\) | 1.86882 | + | 4.51172i | 0.288365 | + | 0.696174i | ||||
\(43\) | 1.76828 | + | 4.26901i | 0.269660 | + | 0.651017i | 0.999467 | − | 0.0326358i | \(-0.0103901\pi\) |
−0.729807 | + | 0.683653i | \(0.760390\pi\) | |||||||
\(44\) | 2.21714 | − | 3.31818i | 0.334246 | − | 0.500235i | ||||
\(45\) | 1.62392 | + | 1.27021i | 0.242080 | + | 0.189352i | ||||
\(46\) | 2.73008 | − | 1.82418i | 0.402528 | − | 0.268961i | ||||
\(47\) | 0.236401 | 0.0344826 | 0.0172413 | − | 0.999851i | \(-0.494512\pi\) | ||||
0.0172413 | + | 0.999851i | \(0.494512\pi\) | |||||||
\(48\) | 1.19858 | − | 0.800867i | 0.173000 | − | 0.115595i | ||||
\(49\) | −4.13581 | + | 1.71311i | −0.590830 | + | 0.244730i | ||||
\(50\) | 4.02261 | − | 2.96962i | 0.568883 | − | 0.419967i | ||||
\(51\) | 1.54592 | − | 5.73898i | 0.216472 | − | 0.803618i | ||||
\(52\) | 2.90567 | − | 2.90567i | 0.402943 | − | 0.402943i | ||||
\(53\) | 0.849962 | + | 0.352066i | 0.116751 | + | 0.0483600i | 0.440294 | − | 0.897853i | \(-0.354874\pi\) |
−0.323543 | + | 0.946213i | \(0.604874\pi\) | |||||||
\(54\) | 1.10298 | − | 5.54504i | 0.150096 | − | 0.754584i | ||||
\(55\) | −8.89867 | − | 0.666291i | −1.19990 | − | 0.0898426i | ||||
\(56\) | 1.88211 | + | 2.81678i | 0.251507 | + | 0.376408i | ||||
\(57\) | −5.13475 | + | 7.68469i | −0.680114 | + | 1.01786i | ||||
\(58\) | −8.71477 | + | 1.73348i | −1.14431 | + | 0.227617i | ||||
\(59\) | 3.06957 | + | 1.27146i | 0.399625 | + | 0.165530i | 0.573439 | − | 0.819249i | \(-0.305609\pi\) |
−0.173814 | + | 0.984779i | \(0.555609\pi\) | |||||||
\(60\) | −2.87756 | − | 1.45243i | −0.371492 | − | 0.187508i | ||||
\(61\) | 0.930398 | + | 0.621672i | 0.119125 | + | 0.0795970i | 0.613706 | − | 0.789535i | \(-0.289678\pi\) |
−0.494580 | + | 0.869132i | \(0.664678\pi\) | |||||||
\(62\) | 8.73903 | + | 5.83924i | 1.10986 | + | 0.741584i | ||||
\(63\) | 3.06350 | + | 0.609368i | 0.385965 | + | 0.0767732i | ||||
\(64\) | 0.707107 | − | 0.707107i | 0.0883883 | − | 0.0883883i | ||||
\(65\) | −8.85296 | − | 2.46048i | −1.09807 | − | 0.305185i | ||||
\(66\) | 2.20148 | + | 5.31485i | 0.270984 | + | 0.654212i | ||||
\(67\) | −6.65464 | − | 6.65464i | −0.812994 | − | 0.812994i | 0.172088 | − | 0.985082i | \(-0.444949\pi\) |
−0.985082 | + | 0.172088i | \(0.944949\pi\) | |||||||
\(68\) | 0.275124 | − | 4.11392i | 0.0333636 | − | 0.498886i | ||||
\(69\) | 4.73315i | 0.569804i | ||||||||
\(70\) | 3.41334 | − | 6.76254i | 0.407973 | − | 0.808278i | ||||
\(71\) | 6.11118 | + | 1.21559i | 0.725264 | + | 0.144264i | 0.543897 | − | 0.839152i | \(-0.316948\pi\) |
0.181366 | + | 0.983416i | \(0.441948\pi\) | |||||||
\(72\) | − | 0.922015i | − | 0.108661i | ||||||
\(73\) | −0.411656 | + | 2.06953i | −0.0481806 | + | 0.242220i | −0.997369 | − | 0.0724870i | \(-0.976906\pi\) |
0.949189 | + | 0.314707i | \(0.101906\pi\) | |||||||
\(74\) | 1.23591 | + | 6.21333i | 0.143671 | + | 0.722285i | ||||
\(75\) | 0.337754 | + | 7.19969i | 0.0390004 | + | 0.831349i | ||||
\(76\) | −2.45357 | + | 5.92345i | −0.281444 | + | 0.679466i | ||||
\(77\) | −12.4904 | + | 5.17368i | −1.42341 | + | 0.589596i | ||||
\(78\) | 1.15563 | + | 5.80973i | 0.130849 | + | 0.657822i | ||||
\(79\) | 0.0457198 | − | 0.00909423i | 0.00514388 | − | 0.00102318i | −0.192518 | − | 0.981293i | \(-0.561665\pi\) |
0.197662 | + | 0.980270i | \(0.436665\pi\) | |||||||
\(80\) | −2.15441 | − | 0.598768i | −0.240870 | − | 0.0669443i | ||||
\(81\) | 3.80695 | + | 3.80695i | 0.422995 | + | 0.422995i | ||||
\(82\) | 0.637150 | + | 0.953562i | 0.0703614 | + | 0.105303i | ||||
\(83\) | 0.376601 | − | 0.909194i | 0.0413373 | − | 0.0997970i | −0.901862 | − | 0.432023i | \(-0.857800\pi\) |
0.943200 | + | 0.332226i | \(0.107800\pi\) | |||||||
\(84\) | −4.88345 | −0.532829 | ||||||||
\(85\) | −8.31157 | + | 3.98972i | −0.901516 | + | 0.432745i | ||||
\(86\) | −4.62074 | −0.498267 | ||||||||
\(87\) | 4.90166 | − | 11.8337i | 0.525513 | − | 1.26870i | ||||
\(88\) | 2.21714 | + | 3.31818i | 0.236348 | + | 0.353720i | ||||
\(89\) | −6.70937 | − | 6.70937i | −0.711191 | − | 0.711191i | 0.255593 | − | 0.966784i | \(-0.417729\pi\) |
−0.966784 | + | 0.255593i | \(0.917729\pi\) | |||||||
\(90\) | −1.79497 | + | 1.01422i | −0.189206 | + | 0.106908i | ||||
\(91\) | −13.6534 | + | 2.71583i | −1.43126 | + | 0.284696i | ||||
\(92\) | 0.640567 | + | 3.22035i | 0.0667838 | + | 0.335745i | ||||
\(93\) | −13.9976 | + | 5.79800i | −1.45148 | + | 0.601224i | ||||
\(94\) | −0.0904666 | + | 0.218406i | −0.00933091 | + | 0.0225268i | ||||
\(95\) | 14.2306 | − | 1.73922i | 1.46003 | − | 0.178441i | ||||
\(96\) | 0.281227 | + | 1.41382i | 0.0287026 | + | 0.144298i | ||||
\(97\) | 1.36207 | − | 6.84757i | 0.138297 | − | 0.695265i | −0.847962 | − | 0.530057i | \(-0.822170\pi\) |
0.986259 | − | 0.165208i | \(-0.0528295\pi\) | |||||||
\(98\) | − | 4.47657i | − | 0.452201i | ||||||
\(99\) | 3.60883 | + | 0.717841i | 0.362701 | + | 0.0721457i | ||||
\(100\) | 1.20418 | + | 4.85283i | 0.120418 | + | 0.485283i | ||||
\(101\) | − | 0.274817i | − | 0.0273453i | −0.999907 | − | 0.0136727i | \(-0.995648\pi\) | ||
0.999907 | − | 0.0136727i | \(-0.00435228\pi\) | |||||||
\(102\) | 4.71053 | + | 3.62446i | 0.466412 | + | 0.358875i | ||||
\(103\) | 2.76147 | + | 2.76147i | 0.272096 | + | 0.272096i | 0.829943 | − | 0.557848i | \(-0.188373\pi\) |
−0.557848 | + | 0.829943i | \(0.688373\pi\) | |||||||
\(104\) | 1.57253 | + | 3.79643i | 0.154200 | + | 0.372271i | ||||
\(105\) | 5.37182 | + | 9.50706i | 0.524236 | + | 0.927794i | ||||
\(106\) | −0.650533 | + | 0.650533i | −0.0631854 | + | 0.0631854i | ||||
\(107\) | 11.9040 | + | 2.36785i | 1.15080 | + | 0.228909i | 0.733391 | − | 0.679807i | \(-0.237937\pi\) |
0.417414 | + | 0.908717i | \(0.362937\pi\) | |||||||
\(108\) | 4.70085 | + | 3.14101i | 0.452340 | + | 0.302244i | ||||
\(109\) | 15.8475 | + | 10.5890i | 1.51792 | + | 1.01424i | 0.985868 | + | 0.167525i | \(0.0535774\pi\) |
0.532048 | + | 0.846714i | \(0.321423\pi\) | |||||||
\(110\) | 4.02095 | − | 7.96632i | 0.383382 | − | 0.759559i | ||||
\(111\) | −8.43698 | − | 3.49471i | −0.800803 | − | 0.331704i | ||||
\(112\) | −3.32261 | + | 0.660909i | −0.313958 | + | 0.0624500i | ||||
\(113\) | 3.46908 | − | 5.19185i | 0.326344 | − | 0.488408i | −0.631628 | − | 0.775272i | \(-0.717613\pi\) |
0.957971 | + | 0.286864i | \(0.0926128\pi\) | |||||||
\(114\) | −5.13475 | − | 7.68469i | −0.480913 | − | 0.719738i | ||||
\(115\) | 5.56472 | − | 4.78945i | 0.518913 | − | 0.446618i | ||||
\(116\) | 1.73348 | − | 8.71477i | 0.160949 | − | 0.809147i | ||||
\(117\) | 3.50037 | + | 1.44990i | 0.323609 | + | 0.134043i | ||||
\(118\) | −2.34935 | + | 2.34935i | −0.216275 | + | 0.216275i | ||||
\(119\) | −8.51780 | + | 11.0702i | −0.780826 | + | 1.01480i | ||||
\(120\) | 2.44307 | − | 2.10270i | 0.223020 | − | 0.191949i | ||||
\(121\) | −4.55109 | + | 1.88512i | −0.413735 | + | 0.171375i | ||||
\(122\) | −0.930398 | + | 0.621672i | −0.0842343 | + | 0.0562836i | ||||
\(123\) | −1.65319 | −0.149063 | ||||||||
\(124\) | −8.73903 | + | 5.83924i | −0.784788 | + | 0.524379i | ||||
\(125\) | 8.12283 | − | 7.68242i | 0.726528 | − | 0.687136i | ||||
\(126\) | −1.73533 | + | 2.59711i | −0.154596 | + | 0.231369i | ||||
\(127\) | −2.16020 | − | 5.21517i | −0.191686 | − | 0.462772i | 0.798592 | − | 0.601873i | \(-0.205579\pi\) |
−0.990278 | + | 0.139101i | \(0.955579\pi\) | |||||||
\(128\) | 0.382683 | + | 0.923880i | 0.0338248 | + | 0.0816602i | ||||
\(129\) | 3.70059 | − | 5.53833i | 0.325819 | − | 0.487623i | ||||
\(130\) | 5.66107 | − | 7.23749i | 0.496508 | − | 0.634770i | ||||
\(131\) | −9.76948 | + | 6.52776i | −0.853563 | + | 0.570333i | −0.903582 | − | 0.428415i | \(-0.859072\pi\) |
0.0500185 | + | 0.998748i | \(0.484072\pi\) | |||||||
\(132\) | −5.75275 | −0.500712 | ||||||||
\(133\) | 18.0597 | − | 12.0671i | 1.56598 | − | 1.04635i | ||||
\(134\) | 8.69471 | − | 3.60147i | 0.751108 | − | 0.311119i | ||||
\(135\) | 0.943930 | − | 12.6067i | 0.0812406 | − | 1.08501i | ||||
\(136\) | 3.69548 | + | 1.82851i | 0.316885 | + | 0.156793i | ||||
\(137\) | 6.69914 | − | 6.69914i | 0.572346 | − | 0.572346i | −0.360438 | − | 0.932783i | \(-0.617373\pi\) |
0.932783 | + | 0.360438i | \(0.117373\pi\) | |||||||
\(138\) | −4.37286 | − | 1.81130i | −0.372243 | − | 0.154188i | ||||
\(139\) | −0.949096 | + | 4.77143i | −0.0805013 | + | 0.404707i | 0.919433 | + | 0.393247i | \(0.128648\pi\) |
−0.999934 | + | 0.0114607i | \(0.996352\pi\) | |||||||
\(140\) | 4.94154 | + | 5.74143i | 0.417636 | + | 0.485239i | ||||
\(141\) | −0.189325 | − | 0.283345i | −0.0159441 | − | 0.0238620i | ||||
\(142\) | −3.46171 | + | 5.18081i | −0.290500 | + | 0.434764i | ||||
\(143\) | −16.0838 | + | 3.19927i | −1.34500 | + | 0.267536i | ||||
\(144\) | 0.851831 | + | 0.352840i | 0.0709859 | + | 0.0294033i | ||||
\(145\) | −18.8727 | + | 6.21157i | −1.56729 | + | 0.515843i | ||||
\(146\) | −1.75446 | − | 1.17230i | −0.145201 | − | 0.0970199i | ||||
\(147\) | 5.36553 | + | 3.58513i | 0.442541 | + | 0.295697i | ||||
\(148\) | −6.21333 | − | 1.23591i | −0.510733 | − | 0.101591i | ||||
\(149\) | −0.853790 | + | 0.853790i | −0.0699452 | + | 0.0699452i | −0.741214 | − | 0.671269i | \(-0.765750\pi\) |
0.671269 | + | 0.741214i | \(0.265750\pi\) | |||||||
\(150\) | −6.78090 | − | 2.44316i | −0.553658 | − | 0.199483i | ||||
\(151\) | 2.75046 | + | 6.64020i | 0.223829 | + | 0.540372i | 0.995404 | − | 0.0957674i | \(-0.0305305\pi\) |
−0.771574 | + | 0.636139i | \(0.780530\pi\) | |||||||
\(152\) | −4.53361 | − | 4.53361i | −0.367724 | − | 0.367724i | ||||
\(153\) | 3.60144 | − | 1.21720i | 0.291159 | − | 0.0984044i | ||||
\(154\) | − | 13.5195i | − | 1.08943i | ||||||
\(155\) | 20.9807 | + | 10.5899i | 1.68521 | + | 0.850600i | ||||
\(156\) | −5.80973 | − | 1.15563i | −0.465150 | − | 0.0925242i | ||||
\(157\) | − | 22.3932i | − | 1.78717i | −0.448889 | − | 0.893587i | \(-0.648180\pi\) | ||
0.448889 | − | 0.893587i | \(-0.351820\pi\) | |||||||
\(158\) | −0.00909423 | + | 0.0457198i | −0.000723498 | + | 0.00363727i | ||||
\(159\) | −0.258727 | − | 1.30071i | −0.0205184 | − | 0.103153i | ||||
\(160\) | 1.37765 | − | 1.76128i | 0.108912 | − | 0.139241i | ||||
\(161\) | 4.25672 | − | 10.2766i | 0.335476 | − | 0.809911i | ||||
\(162\) | −4.97402 | + | 2.06031i | −0.390796 | + | 0.161873i | ||||
\(163\) | −0.541279 | − | 2.72119i | −0.0423962 | − | 0.213140i | 0.953780 | − | 0.300505i | \(-0.0971553\pi\) |
−0.996176 | + | 0.0873651i | \(0.972155\pi\) | |||||||
\(164\) | −1.12480 | + | 0.223737i | −0.0878323 | + | 0.0174709i | ||||
\(165\) | 6.32804 | + | 11.1994i | 0.492638 | + | 0.871872i | ||||
\(166\) | 0.695867 | + | 0.695867i | 0.0540098 | + | 0.0540098i | ||||
\(167\) | −2.24166 | − | 3.35489i | −0.173465 | − | 0.259609i | 0.734542 | − | 0.678563i | \(-0.237397\pi\) |
−0.908008 | + | 0.418954i | \(0.862397\pi\) | |||||||
\(168\) | 1.86882 | − | 4.51172i | 0.144182 | − | 0.348087i | ||||
\(169\) | −3.88578 | −0.298906 | ||||||||
\(170\) | −0.505317 | − | 9.20569i | −0.0387561 | − | 0.706044i | ||||
\(171\) | −5.91149 | −0.452063 | ||||||||
\(172\) | 1.76828 | − | 4.26901i | 0.134830 | − | 0.325509i | ||||
\(173\) | −6.08680 | − | 9.10954i | −0.462771 | − | 0.692585i | 0.524540 | − | 0.851386i | \(-0.324237\pi\) |
−0.987311 | + | 0.158801i | \(0.949237\pi\) | |||||||
\(174\) | 9.05708 | + | 9.05708i | 0.686616 | + | 0.686616i | ||||
\(175\) | 5.74165 | − | 15.9357i | 0.434028 | − | 1.20463i | ||||
\(176\) | −3.91407 | + | 0.778556i | −0.295034 | + | 0.0586859i | ||||
\(177\) | −0.934372 | − | 4.69740i | −0.0702317 | − | 0.353079i | ||||
\(178\) | 8.76621 | − | 3.63108i | 0.657055 | − | 0.272161i | ||||
\(179\) | −1.74304 | + | 4.20808i | −0.130281 | + | 0.314527i | −0.975537 | − | 0.219835i | \(-0.929448\pi\) |
0.845256 | + | 0.534362i | \(0.179448\pi\) | |||||||
\(180\) | −0.250112 | − | 2.04646i | −0.0186423 | − | 0.152534i | ||||
\(181\) | 4.89042 | + | 24.5858i | 0.363502 | + | 1.82745i | 0.538190 | + | 0.842823i | \(0.319108\pi\) |
−0.174688 | + | 0.984624i | \(0.555892\pi\) | |||||||
\(182\) | 2.71583 | − | 13.6534i | 0.201311 | − | 1.01206i | ||||
\(183\) | − | 1.61303i | − | 0.119239i | ||||||
\(184\) | −3.22035 | − | 0.640567i | −0.237407 | − | 0.0472232i | ||||
\(185\) | 4.42864 | + | 13.4556i | 0.325600 | + | 0.989273i | ||||
\(186\) | − | 15.1509i | − | 1.11092i | ||||||
\(187\) | −10.0340 | + | 13.0407i | −0.733762 | + | 0.953634i | ||||
\(188\) | −0.167160 | − | 0.167160i | −0.0121914 | − | 0.0121914i | ||||
\(189\) | −7.32953 | − | 17.6950i | −0.533145 | − | 1.28713i | ||||
\(190\) | −3.83900 | + | 13.8130i | −0.278510 | + | 1.00210i | ||||
\(191\) | 14.3864 | − | 14.3864i | 1.04096 | − | 1.04096i | 0.0418392 | − | 0.999124i | \(-0.486678\pi\) |
0.999124 | − | 0.0418392i | \(-0.0133217\pi\) | |||||||
\(192\) | −1.41382 | − | 0.281227i | −0.102034 | − | 0.0202958i | ||||
\(193\) | 0.682377 | + | 0.455950i | 0.0491186 | + | 0.0328200i | 0.579887 | − | 0.814697i | \(-0.303097\pi\) |
−0.530769 | + | 0.847517i | \(0.678097\pi\) | |||||||
\(194\) | 5.80509 | + | 3.87883i | 0.416781 | + | 0.278484i | ||||
\(195\) | 4.14096 | + | 12.5815i | 0.296540 | + | 0.900981i | ||||
\(196\) | 4.13581 | + | 1.71311i | 0.295415 | + | 0.122365i | ||||
\(197\) | −24.4932 | + | 4.87199i | −1.74507 | + | 0.347115i | −0.961628 | − | 0.274355i | \(-0.911536\pi\) |
−0.783438 | + | 0.621470i | \(0.786536\pi\) | |||||||
\(198\) | −2.04424 | + | 3.05942i | −0.145278 | + | 0.217423i | ||||
\(199\) | −9.38195 | − | 14.0411i | −0.665069 | − | 0.995346i | −0.998615 | − | 0.0526122i | \(-0.983245\pi\) |
0.333546 | − | 0.942734i | \(-0.391755\pi\) | |||||||
\(200\) | −4.94425 | − | 0.744578i | −0.349611 | − | 0.0526496i | ||||
\(201\) | −2.64665 | + | 13.3056i | −0.186680 | + | 0.938505i | ||||
\(202\) | 0.253898 | + | 0.105168i | 0.0178642 | + | 0.00739959i | ||||
\(203\) | −21.2850 | + | 21.2850i | −1.49391 | + | 1.49391i | ||||
\(204\) | −5.15120 | + | 2.96494i | −0.360656 | + | 0.207587i | ||||
\(205\) | 1.67286 | + | 1.94364i | 0.116837 | + | 0.135750i | ||||
\(206\) | −3.60803 | + | 1.49450i | −0.251384 | + | 0.104126i | ||||
\(207\) | −2.51718 | + | 1.68192i | −0.174956 | + | 0.116902i | ||||
\(208\) | −4.10923 | −0.284924 | ||||||||
\(209\) | 21.2745 | − | 14.2152i | 1.47159 | − | 0.983284i | ||||
\(210\) | −10.8391 | + | 1.32472i | −0.747968 | + | 0.0914143i | ||||
\(211\) | 11.6479 | − | 17.4323i | 0.801875 | − | 1.20009i | −0.174639 | − | 0.984633i | \(-0.555876\pi\) |
0.976513 | − | 0.215457i | \(-0.0691243\pi\) | |||||||
\(212\) | −0.352066 | − | 0.849962i | −0.0241800 | − | 0.0583757i | ||||
\(213\) | −3.43726 | − | 8.29827i | −0.235517 | − | 0.568588i | ||||
\(214\) | −6.74308 | + | 10.0917i | −0.460947 | + | 0.689857i | ||||
\(215\) | −10.2560 | + | 1.25345i | −0.699452 | + | 0.0854848i | ||||
\(216\) | −4.70085 | + | 3.14101i | −0.319853 | + | 0.213719i | ||||
\(217\) | 35.6060 | 2.41709 | ||||||||
\(218\) | −15.8475 | + | 10.5890i | −1.07333 | + | 0.717175i | ||||
\(219\) | 2.81018 | − | 1.16402i | 0.189895 | − | 0.0786569i | ||||
\(220\) | 5.82117 | + | 6.76345i | 0.392463 | + | 0.455992i | ||||
\(221\) | −12.7531 | + | 11.1542i | −0.857865 | + | 0.750316i | ||||
\(222\) | 6.45739 | − | 6.45739i | 0.433392 | − | 0.433392i | ||||
\(223\) | 2.66557 | + | 1.10412i | 0.178500 | + | 0.0739371i | 0.470144 | − | 0.882590i | \(-0.344202\pi\) |
−0.291644 | + | 0.956527i | \(0.594202\pi\) | |||||||
\(224\) | 0.660909 | − | 3.32261i | 0.0441588 | − | 0.222001i | ||||
\(225\) | −3.70891 | + | 2.73803i | −0.247260 | + | 0.182535i | ||||
\(226\) | 3.46908 | + | 5.19185i | 0.230760 | + | 0.345356i | ||||
\(227\) | −2.73280 | + | 4.08992i | −0.181382 | + | 0.271458i | −0.911008 | − | 0.412389i | \(-0.864694\pi\) |
0.729625 | + | 0.683847i | \(0.239694\pi\) | |||||||
\(228\) | 9.06472 | − | 1.80308i | 0.600325 | − | 0.119412i | ||||
\(229\) | 12.9587 | + | 5.36767i | 0.856336 | + | 0.354706i | 0.767273 | − | 0.641320i | \(-0.221613\pi\) |
0.0890622 | + | 0.996026i | \(0.471613\pi\) | |||||||
\(230\) | 2.29535 | + | 6.97397i | 0.151351 | + | 0.459850i | ||||
\(231\) | 16.2042 | + | 10.8273i | 1.06616 | + | 0.712384i | ||||
\(232\) | 7.38803 | + | 4.93652i | 0.485048 | + | 0.324099i | ||||
\(233\) | 4.52626 | + | 0.900329i | 0.296525 | + | 0.0589825i | 0.341111 | − | 0.940023i | \(-0.389197\pi\) |
−0.0445858 | + | 0.999006i | \(0.514197\pi\) | |||||||
\(234\) | −2.67907 | + | 2.67907i | −0.175136 | + | 0.175136i | ||||
\(235\) | −0.141549 | + | 0.509303i | −0.00923365 | + | 0.0332233i | ||||
\(236\) | −1.27146 | − | 3.06957i | −0.0827650 | − | 0.199812i | ||||
\(237\) | −0.0475156 | − | 0.0475156i | −0.00308647 | − | 0.00308647i | ||||
\(238\) | −6.96788 | − | 12.1058i | −0.451661 | − | 0.784702i | ||||
\(239\) | 15.9839i | 1.03391i | 0.856011 | + | 0.516957i | \(0.172935\pi\) | ||||
−0.856011 | + | 0.516957i | \(0.827065\pi\) | |||||||
\(240\) | 1.00772 | + | 3.06177i | 0.0650481 | + | 0.197636i | ||||
\(241\) | −9.99768 | − | 1.98866i | −0.644007 | − | 0.128101i | −0.137727 | − | 0.990470i | \(-0.543980\pi\) |
−0.506280 | + | 0.862369i | \(0.668980\pi\) | |||||||
\(242\) | − | 4.92606i | − | 0.316659i | ||||||
\(243\) | −1.79485 | + | 9.02331i | −0.115140 | + | 0.578845i | ||||
\(244\) | −0.218302 | − | 1.09748i | −0.0139754 | − | 0.0702589i | ||||
\(245\) | −1.21434 | − | 9.93597i | −0.0775815 | − | 0.634786i | ||||
\(246\) | 0.632650 | − | 1.52735i | 0.0403363 | − | 0.0973804i | ||||
\(247\) | 24.3408 | − | 10.0823i | 1.54877 | − | 0.641521i | ||||
\(248\) | −2.05047 | − | 10.3084i | −0.130205 | − | 0.654584i | ||||
\(249\) | −1.39135 | + | 0.276757i | −0.0881732 | + | 0.0175387i | ||||
\(250\) | 3.98916 | + | 10.4445i | 0.252296 | + | 0.660565i | ||||
\(251\) | −11.9830 | − | 11.9830i | −0.756361 | − | 0.756361i | 0.219297 | − | 0.975658i | \(-0.429623\pi\) |
−0.975658 | + | 0.219297i | \(0.929623\pi\) | |||||||
\(252\) | −1.73533 | − | 2.59711i | −0.109316 | − | 0.163603i | ||||
\(253\) | 5.01444 | − | 12.1059i | 0.315255 | − | 0.761094i | ||||
\(254\) | 5.64486 | 0.354190 | ||||||||
\(255\) | 11.4385 | + | 6.76686i | 0.716304 | + | 0.423757i | ||||
\(256\) | −1.00000 | −0.0625000 | ||||||||
\(257\) | −3.09272 | + | 7.46649i | −0.192919 | + | 0.465747i | −0.990508 | − | 0.137454i | \(-0.956108\pi\) |
0.797590 | + | 0.603200i | \(0.206108\pi\) | |||||||
\(258\) | 3.70059 | + | 5.53833i | 0.230389 | + | 0.344801i | ||||
\(259\) | 15.1755 | + | 15.1755i | 0.942957 | + | 0.942957i | ||||
\(260\) | 4.52017 | + | 7.99981i | 0.280329 | + | 0.496127i | ||||
\(261\) | 8.03516 | − | 1.59829i | 0.497364 | − | 0.0989318i | ||||
\(262\) | −2.29224 | − | 11.5239i | −0.141615 | − | 0.711948i | ||||
\(263\) | −1.84471 | + | 0.764104i | −0.113750 | + | 0.0471167i | −0.438832 | − | 0.898569i | \(-0.644608\pi\) |
0.325083 | + | 0.945686i | \(0.394608\pi\) | |||||||
\(264\) | 2.20148 | − | 5.31485i | 0.135492 | − | 0.327106i | ||||
\(265\) | −1.26742 | + | 1.62036i | −0.0778573 | + | 0.0995379i | ||||
\(266\) | 4.23741 | + | 21.3029i | 0.259812 | + | 1.30617i | ||||
\(267\) | −2.66841 | + | 13.4150i | −0.163304 | + | 0.820986i | ||||
\(268\) | 9.41108i | 0.574873i | ||||||||
\(269\) | −19.6028 | − | 3.89924i | −1.19520 | − | 0.237741i | −0.442908 | − | 0.896567i | \(-0.646053\pi\) |
−0.752295 | + | 0.658826i | \(0.771053\pi\) | |||||||
\(270\) | 11.2858 | + | 5.69645i | 0.686835 | + | 0.346675i | ||||
\(271\) | 4.71454i | 0.286388i | 0.989695 | + | 0.143194i | \(0.0457373\pi\) | ||||
−0.989695 | + | 0.143194i | \(0.954263\pi\) | |||||||
\(272\) | −3.10352 | + | 2.71444i | −0.188179 | + | 0.164587i | ||||
\(273\) | 14.1897 | + | 14.1897i | 0.858799 | + | 0.858799i | ||||
\(274\) | 3.62555 | + | 8.75284i | 0.219027 | + | 0.528779i | ||||
\(275\) | 6.76370 | − | 18.7724i | 0.407867 | − | 1.13202i | ||||
\(276\) | 3.34684 | − | 3.34684i | 0.201456 | − | 0.201456i | ||||
\(277\) | −7.87611 | − | 1.56666i | −0.473229 | − | 0.0941312i | −0.0472868 | − | 0.998881i | \(-0.515057\pi\) |
−0.425943 | + | 0.904750i | \(0.640057\pi\) | |||||||
\(278\) | −4.04502 | − | 2.70280i | −0.242604 | − | 0.162103i | ||||
\(279\) | −8.05752 | − | 5.38387i | −0.482391 | − | 0.322324i | ||||
\(280\) | −7.19543 | + | 2.36824i | −0.430009 | + | 0.141529i | ||||
\(281\) | −2.47998 | − | 1.02724i | −0.147943 | − | 0.0612800i | 0.307483 | − | 0.951553i | \(-0.400513\pi\) |
−0.455426 | + | 0.890273i | \(0.650513\pi\) | |||||||
\(282\) | 0.334229 | − | 0.0664822i | 0.0199030 | − | 0.00395896i | ||||
\(283\) | −8.01151 | + | 11.9901i | −0.476235 | + | 0.712736i | −0.989346 | − | 0.145586i | \(-0.953493\pi\) |
0.513111 | + | 0.858323i | \(0.328493\pi\) | |||||||
\(284\) | −3.46171 | − | 5.18081i | −0.205414 | − | 0.307424i | ||||
\(285\) | −13.4814 | − | 15.6637i | −0.798572 | − | 0.927837i | ||||
\(286\) | 3.19927 | − | 16.0838i | 0.189177 | − | 0.951055i | ||||
\(287\) | 3.58942 | + | 1.48678i | 0.211876 | + | 0.0877621i | ||||
\(288\) | −0.651963 | + | 0.651963i | −0.0384173 | + | 0.0384173i | ||||
\(289\) | −2.26367 | + | 16.8486i | −0.133157 | + | 0.991095i | ||||
\(290\) | 1.48351 | − | 19.8131i | 0.0871150 | − | 1.16347i | ||||
\(291\) | −9.29820 | + | 3.85144i | −0.545070 | + | 0.225775i | ||||
\(292\) | 1.75446 | − | 1.17230i | 0.102672 | − | 0.0686034i | ||||
\(293\) | −25.4534 | −1.48700 | −0.743502 | − | 0.668734i | \(-0.766836\pi\) | ||||
−0.743502 | + | 0.668734i | \(0.766836\pi\) | |||||||
\(294\) | −5.36553 | + | 3.58513i | −0.312924 | + | 0.209089i | ||||
\(295\) | −4.57721 | + | 5.85181i | −0.266495 | + | 0.340705i | ||||
\(296\) | 3.51957 | − | 5.26741i | 0.204571 | − | 0.306162i | ||||
\(297\) | −8.63424 | − | 20.8449i | −0.501010 | − | 1.20954i | ||||
\(298\) | −0.462068 | − | 1.11553i | −0.0267669 | − | 0.0646209i | ||||
\(299\) | 7.49598 | − | 11.2185i | 0.433504 | − | 0.648784i | ||||
\(300\) | 4.85212 | − | 5.32978i | 0.280137 | − | 0.307715i | ||||
\(301\) | −13.0156 | + | 8.69674i | −0.750206 | + | 0.501272i | ||||
\(302\) | −7.18730 | −0.413583 | ||||||||
\(303\) | −0.329391 | + | 0.220092i | −0.0189230 | + | 0.0126439i | ||||
\(304\) | 5.92345 | − | 2.45357i | 0.339733 | − | 0.140722i | ||||
\(305\) | −1.89643 | + | 1.63222i | −0.108589 | + | 0.0934607i | ||||
\(306\) | −0.253668 | + | 3.79309i | −0.0145012 | + | 0.216837i | ||||
\(307\) | −20.6197 | + | 20.6197i | −1.17683 | + | 1.17683i | −0.196278 | + | 0.980548i | \(0.562886\pi\) |
−0.980548 | + | 0.196278i | \(0.937114\pi\) | |||||||
\(308\) | 12.4904 | + | 5.17368i | 0.711705 | + | 0.294798i | ||||
\(309\) | 1.09828 | − | 5.52141i | 0.0624788 | − | 0.314102i | ||||
\(310\) | −17.8128 | + | 15.3311i | −1.01170 | + | 0.870748i | ||||
\(311\) | 4.37580 | + | 6.54884i | 0.248129 | + | 0.371351i | 0.934537 | − | 0.355865i | \(-0.115814\pi\) |
−0.686409 | + | 0.727216i | \(0.740814\pi\) | |||||||
\(312\) | 3.29095 | − | 4.92525i | 0.186313 | − | 0.278837i | ||||
\(313\) | −18.0953 | + | 3.59937i | −1.02280 | + | 0.203449i | −0.677873 | − | 0.735179i | \(-0.737098\pi\) |
−0.344932 | + | 0.938628i | \(0.612098\pi\) | |||||||
\(314\) | 20.6887 | + | 8.56952i | 1.16753 | + | 0.483606i | ||||
\(315\) | −3.14716 | + | 6.23516i | −0.177322 | + | 0.351312i | ||||
\(316\) | −0.0387593 | − | 0.0258982i | −0.00218038 | − | 0.00145689i | ||||
\(317\) | −11.3432 | − | 7.57932i | −0.637100 | − | 0.425697i | 0.194630 | − | 0.980877i | \(-0.437649\pi\) |
−0.831730 | + | 0.555180i | \(0.812649\pi\) | |||||||
\(318\) | 1.30071 | + | 0.258727i | 0.0729400 | + | 0.0145087i | ||||
\(319\) | −25.0739 | + | 25.0739i | −1.40387 | + | 1.40387i | ||||
\(320\) | 1.10000 | + | 1.94679i | 0.0614921 | + | 0.108829i | ||||
\(321\) | −6.69546 | − | 16.1643i | −0.373704 | − | 0.902201i | ||||
\(322\) | 7.86539 | + | 7.86539i | 0.438321 | + | 0.438321i | ||||
\(323\) | 11.7235 | − | 23.6935i | 0.652311 | − | 1.31834i | ||||
\(324\) | − | 5.38384i | − | 0.299102i | ||||||
\(325\) | 10.6017 | − | 17.5996i | 0.588079 | − | 0.976253i | ||||
\(326\) | 2.72119 | + | 0.541279i | 0.150713 | + | 0.0299787i | ||||
\(327\) | − | 27.4749i | − | 1.51936i | ||||||
\(328\) | 0.223737 | − | 1.12480i | 0.0123538 | − | 0.0621068i | ||||
\(329\) | 0.156239 | + | 0.785468i | 0.00861375 | + | 0.0433042i | ||||
\(330\) | −12.7685 | + | 1.56053i | −0.702884 | + | 0.0859043i | ||||
\(331\) | 4.14619 | − | 10.0098i | 0.227895 | − | 0.550188i | −0.768026 | − | 0.640419i | \(-0.778761\pi\) |
0.995921 | + | 0.0902314i | \(0.0287607\pi\) | |||||||
\(332\) | −0.909194 | + | 0.376601i | −0.0498985 | + | 0.0206686i | ||||
\(333\) | −1.13953 | − | 5.72879i | −0.0624457 | − | 0.313936i | ||||
\(334\) | 3.95736 | − | 0.787168i | 0.216537 | − | 0.0430719i | ||||
\(335\) | 18.3214 | − | 10.3522i | 1.00101 | − | 0.565603i | ||||
\(336\) | 3.45312 | + | 3.45312i | 0.188383 | + | 0.188383i | ||||
\(337\) | 13.8633 | + | 20.7479i | 0.755182 | + | 1.13021i | 0.987507 | + | 0.157572i | \(0.0503666\pi\) |
−0.232325 | + | 0.972638i | \(0.574633\pi\) | |||||||
\(338\) | 1.48702 | − | 3.58999i | 0.0808834 | − | 0.195270i | ||||
\(339\) | −9.00112 | −0.488874 | ||||||||
\(340\) | 8.69832 | + | 3.05601i | 0.471733 | + | 0.165735i | ||||
\(341\) | 41.9441 | 2.27140 | ||||||||
\(342\) | 2.26223 | − | 5.46151i | 0.122327 | − | 0.295324i | ||||
\(343\) | 4.74938 | + | 7.10795i | 0.256442 | + | 0.383793i | ||||
\(344\) | 3.26736 | + | 3.26736i | 0.176164 | + | 0.176164i | ||||
\(345\) | −10.1971 | − | 2.83406i | −0.548995 | − | 0.152581i | ||||
\(346\) | 10.7454 | − | 2.13740i | 0.577678 | − | 0.114907i | ||||
\(347\) | 2.89578 | + | 14.5581i | 0.155454 | + | 0.781519i | 0.977308 | + | 0.211821i | \(0.0679395\pi\) |
−0.821855 | + | 0.569697i | \(0.807060\pi\) | |||||||
\(348\) | −11.8337 | + | 4.90166i | −0.634350 | + | 0.262756i | ||||
\(349\) | 9.23718 | − | 22.3005i | 0.494455 | − | 1.19372i | −0.457975 | − | 0.888965i | \(-0.651425\pi\) |
0.952431 | − | 0.304756i | \(-0.0985748\pi\) | |||||||
\(350\) | 12.5255 | + | 11.4029i | 0.669514 | + | 0.609512i | ||||
\(351\) | −4.53238 | − | 22.7858i | −0.241921 | − | 1.21622i | ||||
\(352\) | 0.778556 | − | 3.91407i | 0.0414972 | − | 0.208620i | ||||
\(353\) | − | 28.6326i | − | 1.52396i | −0.647601 | − | 0.761979i | \(-0.724228\pi\) | ||
0.647601 | − | 0.761979i | \(-0.275772\pi\) | |||||||
\(354\) | 4.69740 | + | 0.934372i | 0.249664 | + | 0.0496613i | ||||
\(355\) | −6.27806 | + | 12.4381i | −0.333205 | + | 0.660147i | ||||
\(356\) | 9.48848i | 0.502888i | ||||||||
\(357\) | 20.0901 | + | 1.34355i | 1.06328 | + | 0.0711084i | ||||
\(358\) | −3.22073 | − | 3.22073i | −0.170221 | − | 0.170221i | ||||
\(359\) | −0.934800 | − | 2.25681i | −0.0493369 | − | 0.119110i | 0.897290 | − | 0.441442i | \(-0.145533\pi\) |
−0.946626 | + | 0.322333i | \(0.895533\pi\) | |||||||
\(360\) | 1.98640 | + | 0.552074i | 0.104692 | + | 0.0290968i | ||||
\(361\) | −15.6322 | + | 15.6322i | −0.822746 | + | 0.822746i | ||||
\(362\) | −24.5858 | − | 4.89042i | −1.29220 | − | 0.257035i | ||||
\(363\) | 5.90428 | + | 3.94512i | 0.309895 | + | 0.207065i | ||||
\(364\) | 11.5748 | + | 7.73402i | 0.606684 | + | 0.405373i | ||||
\(365\) | −4.21213 | − | 2.12604i | −0.220473 | − | 0.111282i | ||||
\(366\) | 1.49025 | + | 0.617282i | 0.0778966 | + | 0.0322658i | ||||
\(367\) | −3.06918 | + | 0.610498i | −0.160210 | + | 0.0318677i | −0.274543 | − | 0.961575i | \(-0.588527\pi\) |
0.114334 | + | 0.993442i | \(0.463527\pi\) | |||||||
\(368\) | 1.82418 | − | 2.73008i | 0.0950920 | − | 0.142315i | ||||
\(369\) | −0.587462 | − | 0.879198i | −0.0305820 | − | 0.0457692i | ||||
\(370\) | −14.1261 | − | 1.05769i | −0.734380 | − | 0.0549869i | ||||
\(371\) | −0.608031 | + | 3.05678i | −0.0315674 | + | 0.158700i | ||||
\(372\) | 13.9976 | + | 5.79800i | 0.725742 | + | 0.300612i | ||||
\(373\) | 26.0461 | − | 26.0461i | 1.34861 | − | 1.34861i | 0.461447 | − | 0.887168i | \(-0.347331\pi\) |
0.887168 | − | 0.461447i | \(-0.152669\pi\) | |||||||
\(374\) | −8.20822 | − | 14.2607i | −0.424437 | − | 0.737404i | ||||
\(375\) | −15.7133 | − | 3.58329i | −0.811432 | − | 0.185040i | ||||
\(376\) | 0.218406 | − | 0.0904666i | 0.0112634 | − | 0.00466546i | ||||
\(377\) | −30.3591 | + | 20.2853i | −1.56357 | + | 1.04475i | ||||
\(378\) | 19.1530 | 0.985123 | ||||||||
\(379\) | 12.5653 | − | 8.39587i | 0.645437 | − | 0.431267i | −0.189298 | − | 0.981920i | \(-0.560621\pi\) |
0.834734 | + | 0.550653i | \(0.185621\pi\) | |||||||
\(380\) | −11.2924 | − | 8.83277i | −0.579288 | − | 0.453111i | ||||
\(381\) | −4.52078 | + | 6.76583i | −0.231607 | + | 0.346624i | ||||
\(382\) | 7.78586 | + | 18.7967i | 0.398360 | + | 0.961725i | ||||
\(383\) | 5.12969 | + | 12.3842i | 0.262115 | + | 0.632802i | 0.999069 | − | 0.0431413i | \(-0.0137366\pi\) |
−0.736954 | + | 0.675943i | \(0.763737\pi\) | |||||||
\(384\) | 0.800867 | − | 1.19858i | 0.0408690 | − | 0.0611649i | ||||
\(385\) | −3.66739 | − | 30.0072i | −0.186907 | − | 1.52931i | ||||
\(386\) | −0.682377 | + | 0.455950i | −0.0347321 | + | 0.0232072i | ||||
\(387\) | 4.26039 | 0.216568 | ||||||||
\(388\) | −5.80509 | + | 3.87883i | −0.294709 | + | 0.196918i | ||||
\(389\) | −26.7298 | + | 11.0719i | −1.35526 | + | 0.561366i | −0.937751 | − | 0.347308i | \(-0.887096\pi\) |
−0.417506 | + | 0.908674i | \(0.637096\pi\) | |||||||
\(390\) | −13.2085 | − | 0.988988i | −0.668837 | − | 0.0500794i | ||||
\(391\) | −1.74925 | − | 13.4245i | −0.0884632 | − | 0.678905i | ||||
\(392\) | −3.16541 | + | 3.16541i | −0.159877 | + | 0.159877i | ||||
\(393\) | 15.6481 | + | 6.48165i | 0.789342 | + | 0.326956i | ||||
\(394\) | 4.87199 | − | 24.4932i | 0.245448 | − | 1.23395i | ||||
\(395\) | −0.00778287 | + | 0.103944i | −0.000391598 | + | 0.00523001i | ||||
\(396\) | −2.04424 | − | 3.05942i | −0.102727 | − | 0.153741i | ||||
\(397\) | −4.30718 | + | 6.44614i | −0.216171 | + | 0.323523i | −0.923668 | − | 0.383194i | \(-0.874824\pi\) |
0.707497 | + | 0.706716i | \(0.249824\pi\) | |||||||
\(398\) | 16.5626 | − | 3.29450i | 0.830207 | − | 0.165139i | ||||
\(399\) | −28.9269 | − | 11.9819i | −1.44816 | − | 0.599845i | ||||
\(400\) | 2.57998 | − | 4.28295i | 0.128999 | − | 0.214148i | ||||
\(401\) | −18.0601 | − | 12.0674i | −0.901881 | − | 0.602618i | 0.0158265 | − | 0.999875i | \(-0.494962\pi\) |
−0.917707 | + | 0.397257i | \(0.869962\pi\) | |||||||
\(402\) | −11.2799 | − | 7.53702i | −0.562593 | − | 0.375912i | ||||
\(403\) | 42.3596 | + | 8.42584i | 2.11008 | + | 0.419721i | ||||
\(404\) | −0.194325 | + | 0.194325i | −0.00966803 | + | 0.00966803i | ||||
\(405\) | −10.4812 | + | 5.92225i | −0.520816 | + | 0.294279i | ||||
\(406\) | −11.5193 | − | 27.8102i | −0.571696 | − | 1.38020i | ||||
\(407\) | 17.8768 | + | 17.8768i | 0.886120 | + | 0.886120i | ||||
\(408\) | −0.767968 | − | 5.89372i | −0.0380201 | − | 0.291783i | ||||
\(409\) | − | 23.8104i | − | 1.17735i | −0.808371 | − | 0.588673i | \(-0.799650\pi\) | ||
0.808371 | − | 0.588673i | \(-0.200350\pi\) | |||||||
\(410\) | −2.43587 | + | 0.801718i | −0.120299 | + | 0.0395940i | ||||
\(411\) | −13.3946 | − | 2.66435i | −0.660706 | − | 0.131423i | ||||
\(412\) | − | 3.90531i | − | 0.192401i | ||||||
\(413\) | −2.19586 | + | 11.0393i | −0.108051 | + | 0.543210i | ||||
\(414\) | −0.590613 | − | 2.96921i | −0.0290270 | − | 0.145929i | ||||
\(415\) | 1.73328 | + | 1.35575i | 0.0850833 | + | 0.0665511i | ||||
\(416\) | 1.57253 | − | 3.79643i | 0.0770999 | − | 0.186136i | ||||
\(417\) | 6.47905 | − | 2.68371i | 0.317280 | − | 0.131422i | ||||
\(418\) | 4.99171 | + | 25.0950i | 0.244152 | + | 1.22744i | ||||
\(419\) | −26.4209 | + | 5.25544i | −1.29074 | + | 0.256745i | −0.792276 | − | 0.610163i | \(-0.791104\pi\) |
−0.498468 | + | 0.866908i | \(0.666104\pi\) | |||||||
\(420\) | 2.92406 | − | 10.5210i | 0.142679 | − | 0.513370i | ||||
\(421\) | 5.64041 | + | 5.64041i | 0.274897 | + | 0.274897i | 0.831068 | − | 0.556171i | \(-0.187730\pi\) |
−0.556171 | + | 0.831068i | \(0.687730\pi\) | |||||||
\(422\) | 11.6479 | + | 17.4323i | 0.567011 | + | 0.848592i | ||||
\(423\) | 0.0834116 | − | 0.201373i | 0.00405561 | − | 0.00979111i | ||||
\(424\) | 0.919993 | 0.0446788 | ||||||||
\(425\) | −3.61877 | − | 20.2954i | −0.175536 | − | 0.984473i | ||||
\(426\) | 8.98199 | 0.435179 | ||||||||
\(427\) | −1.45067 | + | 3.50222i | −0.0702028 | + | 0.169484i | ||||
\(428\) | −6.74308 | − | 10.0917i | −0.325939 | − | 0.487802i | ||||
\(429\) | 16.7156 | + | 16.7156i | 0.807035 | + | 0.807035i | ||||
\(430\) | 2.76675 | − | 9.95496i | 0.133425 | − | 0.480071i | ||||
\(431\) | 15.3057 | − | 3.04448i | 0.737247 | − | 0.146648i | 0.187837 | − | 0.982200i | \(-0.439852\pi\) |
0.549410 | + | 0.835553i | \(0.314852\pi\) | |||||||
\(432\) | −1.10298 | − | 5.54504i | −0.0530670 | − | 0.266786i | ||||
\(433\) | 19.6145 | − | 8.12458i | 0.942612 | − | 0.390443i | 0.142163 | − | 0.989843i | \(-0.454594\pi\) |
0.800449 | + | 0.599401i | \(0.204594\pi\) | |||||||
\(434\) | −13.6258 | + | 32.8956i | −0.654060 | + | 1.57904i | ||||
\(435\) | 22.5596 | + | 17.6458i | 1.08165 | + | 0.846051i | ||||
\(436\) | −3.71835 | − | 18.6934i | −0.178077 | − | 0.895252i | ||||
\(437\) | −4.10699 | + | 20.6472i | −0.196464 | + | 0.987691i | ||||
\(438\) | 3.04172i | 0.145339i | ||||||||
\(439\) | 6.00338 | + | 1.19415i | 0.286526 | + | 0.0569935i | 0.336261 | − | 0.941769i | \(-0.390838\pi\) |
−0.0497351 | + | 0.998762i | \(0.515838\pi\) | |||||||
\(440\) | −8.47628 | + | 2.78980i | −0.404091 | + | 0.132999i | ||||
\(441\) | 4.12746i | 0.196546i | ||||||||
\(442\) | −5.42479 | − | 16.0509i | −0.258031 | − | 0.763461i | ||||
\(443\) | 9.63227 | + | 9.63227i | 0.457643 | + | 0.457643i | 0.897881 | − | 0.440238i | \(-0.145106\pi\) |
−0.440238 | + | 0.897881i | \(0.645106\pi\) | |||||||
\(444\) | 3.49471 | + | 8.43698i | 0.165852 | + | 0.400402i | ||||
\(445\) | 18.4721 | − | 10.4374i | 0.875660 | − | 0.494778i | ||||
\(446\) | −2.04014 | + | 2.04014i | −0.0966035 | + | 0.0966035i | ||||
\(447\) | 1.70711 | + | 0.339565i | 0.0807434 | + | 0.0160609i | ||||
\(448\) | 2.81678 | + | 1.88211i | 0.133080 | + | 0.0889213i | ||||
\(449\) | 14.9345 | + | 9.97891i | 0.704803 | + | 0.470934i | 0.855605 | − | 0.517630i | \(-0.173186\pi\) |
−0.150802 | + | 0.988564i | \(0.548186\pi\) | |||||||
\(450\) | −1.11027 | − | 4.47438i | −0.0523388 | − | 0.210924i | ||||
\(451\) | 4.22836 | + | 1.75144i | 0.199106 | + | 0.0824723i | ||||
\(452\) | −6.12420 | + | 1.21818i | −0.288058 | + | 0.0572983i | ||||
\(453\) | 5.75607 | − | 8.61456i | 0.270444 | − | 0.404747i | ||||
\(454\) | −2.73280 | − | 4.08992i | −0.128257 | − | 0.191950i | ||||
\(455\) | 2.32421 | − | 31.0411i | 0.108961 | − | 1.45523i | ||||
\(456\) | −1.80308 | + | 9.06472i | −0.0844371 | + | 0.424494i | ||||
\(457\) | −13.0394 | − | 5.40111i | −0.609959 | − | 0.252653i | 0.0562522 | − | 0.998417i | \(-0.482085\pi\) |
−0.666211 | + | 0.745763i | \(0.732085\pi\) | |||||||
\(458\) | −9.91817 | + | 9.91817i | −0.463445 | + | 0.463445i | ||||
\(459\) | −18.4748 | − | 14.2152i | −0.862328 | − | 0.663507i | ||||
\(460\) | −7.32150 | − | 0.548199i | −0.341367 | − | 0.0255599i | ||||
\(461\) | −0.0278421 | + | 0.0115326i | −0.00129673 | + | 0.000537125i | −0.383332 | − | 0.923611i | \(-0.625223\pi\) |
0.382035 | + | 0.924148i | \(0.375223\pi\) | |||||||
\(462\) | −16.2042 | + | 10.8273i | −0.753888 | + | 0.503732i | ||||
\(463\) | −1.59180 | −0.0739771 | −0.0369885 | − | 0.999316i | \(-0.511777\pi\) | ||||
−0.0369885 | + | 0.999316i | \(0.511777\pi\) | |||||||
\(464\) | −7.38803 | + | 4.93652i | −0.342981 | + | 0.229172i | ||||
\(465\) | −4.10993 | − | 33.6282i | −0.190594 | − | 1.55947i | ||||
\(466\) | −2.56392 | + | 3.83718i | −0.118771 | + | 0.177754i | ||||
\(467\) | 3.06786 | + | 7.40647i | 0.141964 | + | 0.342730i | 0.978829 | − | 0.204678i | \(-0.0656146\pi\) |
−0.836866 | + | 0.547408i | \(0.815615\pi\) | |||||||
\(468\) | −1.44990 | − | 3.50037i | −0.0670217 | − | 0.161805i | ||||
\(469\) | 17.7127 | − | 26.5089i | 0.817896 | − | 1.22407i | ||||
\(470\) | −0.416366 | − | 0.325676i | −0.0192056 | − | 0.0150223i | ||||
\(471\) | −26.8401 | + | 17.9340i | −1.23673 | + | 0.826355i | ||||
\(472\) | 3.32248 | 0.152930 | ||||||||
\(473\) | −15.3325 | + | 10.2448i | −0.704987 | + | 0.471058i | ||||
\(474\) | 0.0620821 | − | 0.0257153i | 0.00285153 | − | 0.00118114i | ||||
\(475\) | −4.77386 | + | 31.7000i | −0.219040 | + | 1.45450i | ||||
\(476\) | 13.8508 | − | 1.80480i | 0.634850 | − | 0.0827227i | ||||
\(477\) | 0.599801 | − | 0.599801i | 0.0274630 | − | 0.0274630i | ||||
\(478\) | −14.7672 | − | 6.11678i | −0.675437 | − | 0.279775i | ||||
\(479\) | 4.90199 | − | 24.6439i | 0.223977 | − | 1.12601i | −0.691108 | − | 0.722751i | \(-0.742877\pi\) |
0.915086 | − | 0.403259i | \(-0.132123\pi\) | |||||||
\(480\) | −3.21434 | − | 0.240675i | −0.146714 | − | 0.0109853i | ||||
\(481\) | 14.4627 | + | 21.6450i | 0.659444 | + | 0.986927i | ||||
\(482\) | 5.66323 | − | 8.47562i | 0.257953 | − | 0.386054i | ||||
\(483\) | −15.7264 | + | 3.12818i | −0.715577 | + | 0.142337i | ||||
\(484\) | 4.55109 | + | 1.88512i | 0.206868 | + | 0.0856873i | ||||
\(485\) | 13.9369 | + | 7.03455i | 0.632842 | + | 0.319422i | ||||
\(486\) | −7.64959 | − | 5.11129i | −0.346993 | − | 0.231853i | ||||
\(487\) | 24.8229 | + | 16.5862i | 1.12483 | + | 0.751591i | 0.971607 | − | 0.236600i | \(-0.0760332\pi\) |
0.153228 | + | 0.988191i | \(0.451033\pi\) | |||||||
\(488\) | 1.09748 | + | 0.218302i | 0.0496806 | + | 0.00988208i | ||||
\(489\) | −2.82808 | + | 2.82808i | −0.127890 | + | 0.127890i | ||||
\(490\) | 9.64435 | + | 2.68043i | 0.435687 | + | 0.121089i | ||||
\(491\) | 4.99913 | + | 12.0690i | 0.225608 | + | 0.544665i | 0.995634 | − | 0.0933475i | \(-0.0297568\pi\) |
−0.770026 | + | 0.638013i | \(0.779757\pi\) | |||||||
\(492\) | 1.16898 | + | 1.16898i | 0.0527019 | + | 0.0527019i | ||||
\(493\) | −9.52902 | + | 35.3749i | −0.429165 | + | 1.59321i | ||||
\(494\) | 26.3463i | 1.18538i | ||||||||
\(495\) | −3.70737 | + | 7.34507i | −0.166634 | + | 0.330136i | ||||
\(496\) | 10.3084 | + | 2.05047i | 0.462861 | + | 0.0920687i | ||||
\(497\) | 21.1085i | 0.946845i | ||||||||
\(498\) | 0.276757 | − | 1.39135i | 0.0124018 | − | 0.0623479i | ||||
\(499\) | −0.263630 | − | 1.32536i | −0.0118017 | − | 0.0593312i | 0.974436 | − | 0.224667i | \(-0.0721293\pi\) |
−0.986237 | + | 0.165335i | \(0.947129\pi\) | |||||||
\(500\) | −11.1760 | − | 0.311421i | −0.499806 | − | 0.0139272i | ||||
\(501\) | −2.22583 | + | 5.37364i | −0.0994429 | + | 0.240076i | ||||
\(502\) | 15.6566 | − | 6.48516i | 0.698786 | − | 0.289447i | ||||
\(503\) | 2.25111 | + | 11.3171i | 0.100372 | + | 0.504604i | 0.997964 | + | 0.0637774i | \(0.0203148\pi\) |
−0.897592 | + | 0.440827i | \(0.854685\pi\) | |||||||
\(504\) | 3.06350 | − | 0.609368i | 0.136459 | − | 0.0271434i | ||||
\(505\) | 0.592068 | + | 0.164552i | 0.0263467 | + | 0.00732246i | ||||
\(506\) | 9.26549 | + | 9.26549i | 0.411901 | + | 0.411901i | ||||
\(507\) | 3.11199 | + | 4.65743i | 0.138208 | + | 0.206844i | ||||
\(508\) | −2.16020 | + | 5.21517i | −0.0958432 | + | 0.231386i | ||||
\(509\) | 14.1673 | 0.627955 | 0.313978 | − | 0.949430i | \(-0.398338\pi\) | ||||
0.313978 | + | 0.949430i | \(0.398338\pi\) | |||||||
\(510\) | −10.6291 | + | 7.97819i | −0.470663 | + | 0.353280i | ||||
\(511\) | −7.14832 | −0.316223 | ||||||||
\(512\) | 0.382683 | − | 0.923880i | 0.0169124 | − | 0.0408301i | ||||
\(513\) | 20.1386 | + | 30.1395i | 0.889139 | + | 1.33069i | ||||
\(514\) | −5.71460 | − | 5.71460i | −0.252060 | − | 0.252060i | ||||
\(515\) | −7.60281 | + | 4.29585i | −0.335020 | + | 0.189298i | ||||
\(516\) | −6.53291 | + | 1.29948i | −0.287595 | + | 0.0572062i | ||||
\(517\) | 0.184051 | + | 0.925287i | 0.00809456 | + | 0.0406941i | ||||
\(518\) | −19.8277 | + | 8.21290i | −0.871179 | + | 0.360854i | ||||
\(519\) | −6.04381 | + | 14.5910i | −0.265294 | + | 0.640476i | ||||
\(520\) | −9.12066 | + | 1.11470i | −0.399967 | + | 0.0488827i | ||||
\(521\) | 4.56636 | + | 22.9566i | 0.200056 | + | 1.00575i | 0.942083 | + | 0.335379i | \(0.108864\pi\) |
−0.742028 | + | 0.670369i | \(0.766136\pi\) | |||||||
\(522\) | −1.59829 | + | 8.03516i | −0.0699553 | + | 0.351689i | ||||
\(523\) | − | 9.20697i | − | 0.402593i | −0.979530 | − | 0.201296i | \(-0.935485\pi\) | ||
0.979530 | − | 0.201296i | \(-0.0645154\pi\) | |||||||
\(524\) | 11.5239 | + | 2.29224i | 0.503423 | + | 0.100137i | ||||
\(525\) | −23.6986 | + | 5.88057i | −1.03429 | + | 0.256649i | ||||
\(526\) | − | 1.99670i | − | 0.0870602i | ||||||
\(527\) | 37.5582 | − | 21.6178i | 1.63606 | − | 0.941687i | ||||
\(528\) | 4.06781 | + | 4.06781i | 0.177029 | + | 0.177029i | ||||
\(529\) | −4.67602 | − | 11.2889i | −0.203305 | − | 0.490822i | ||||
\(530\) | −1.01200 | − | 1.79103i | −0.0439583 | − | 0.0777975i | ||||
\(531\) | 2.16614 | − | 2.16614i | 0.0940023 | − | 0.0940023i | ||||
\(532\) | −21.3029 | − | 4.23741i | −0.923598 | − | 0.183715i | ||||
\(533\) | 3.91841 | + | 2.61819i | 0.169725 | + | 0.113407i | ||||
\(534\) | −11.3727 | − | 7.59900i | −0.492145 | − | 0.328841i | ||||
\(535\) | −12.2291 | + | 24.2283i | −0.528709 | + | 1.04748i | ||||
\(536\) | −8.69471 | − | 3.60147i | −0.375554 | − | 0.155560i | ||||
\(537\) | 6.43968 | − | 1.28093i | 0.277893 | − | 0.0552763i | ||||
\(538\) | 11.1041 | − | 16.6184i | 0.478731 | − | 0.716472i | ||||
\(539\) | −9.92517 | − | 14.8541i | −0.427507 | − | 0.639810i | ||||
\(540\) | −9.58174 | + | 8.24682i | −0.412333 | + | 0.354887i | ||||
\(541\) | −2.15895 | + | 10.8538i | −0.0928205 | + | 0.466640i | 0.906218 | + | 0.422810i | \(0.138956\pi\) |
−0.999039 | + | 0.0438305i | \(0.986044\pi\) | |||||||
\(542\) | −4.35567 | − | 1.80418i | −0.187092 | − | 0.0774961i | ||||
\(543\) | 25.5515 | − | 25.5515i | 1.09652 | − | 1.09652i | ||||
\(544\) | −1.32015 | − | 3.90605i | −0.0566008 | − | 0.167470i | ||||
\(545\) | −32.3019 | + | 27.8017i | −1.38366 | + | 1.19089i | ||||
\(546\) | −18.5397 | + | 7.67940i | −0.793427 | + | 0.328648i | ||||
\(547\) | −19.3029 | + | 12.8978i | −0.825334 | + | 0.551471i | −0.894983 | − | 0.446101i | \(-0.852812\pi\) |
0.0696486 | + | 0.997572i | \(0.477812\pi\) | |||||||
\(548\) | −9.47401 | −0.404710 | ||||||||
\(549\) | 0.857841 | − | 0.573191i | 0.0366118 | − | 0.0244632i | ||||
\(550\) | 14.7551 | + | 13.4327i | 0.629159 | + | 0.572774i | ||||
\(551\) | 31.6505 | − | 47.3683i | 1.34836 | − | 2.01796i | ||||
\(552\) | 1.81130 | + | 4.37286i | 0.0770940 | + | 0.186121i | ||||
\(553\) | 0.0604332 | + | 0.145899i | 0.00256988 | + | 0.00620424i | ||||
\(554\) | 4.46146 | − | 6.67704i | 0.189549 | − | 0.283680i | ||||
\(555\) | 12.5808 | − | 16.0842i | 0.534027 | − | 0.682736i | ||||
\(556\) | 4.04502 | − | 2.70280i | 0.171547 | − | 0.114624i | ||||
\(557\) | −2.59243 | −0.109845 | −0.0549225 | − | 0.998491i | \(-0.517491\pi\) | ||||
−0.0549225 | + | 0.998491i | \(0.517491\pi\) | |||||||
\(558\) | 8.05752 | − | 5.38387i | 0.341102 | − | 0.227917i | ||||
\(559\) | −17.5423 | + | 7.26627i | −0.741962 | + | 0.307331i | ||||
\(560\) | 0.565608 | − | 7.55400i | 0.0239013 | − | 0.319215i | ||||
\(561\) | 23.6663 | + | 1.58272i | 0.999193 | + | 0.0668223i | ||||
\(562\) | 1.89809 | − | 1.89809i | 0.0800662 | − | 0.0800662i | ||||
\(563\) | −37.4793 | − | 15.5244i | −1.57957 | − | 0.654277i | −0.591221 | − | 0.806510i | \(-0.701354\pi\) |
−0.988345 | + | 0.152232i | \(0.951354\pi\) | |||||||
\(564\) | −0.0664822 | + | 0.334229i | −0.00279941 | + | 0.0140736i | ||||
\(565\) | 9.10818 | + | 10.5825i | 0.383184 | + | 0.445210i | ||||
\(566\) | −8.01151 | − | 11.9901i | −0.336749 | − | 0.503981i | ||||
\(567\) | −10.1330 | + | 15.1651i | −0.425545 | + | 0.636873i | ||||
\(568\) | 6.11118 | − | 1.21559i | 0.256419 | − | 0.0510050i | ||||
\(569\) | −7.73559 | − | 3.20419i | −0.324293 | − | 0.134326i | 0.214597 | − | 0.976703i | \(-0.431156\pi\) |
−0.538890 | + | 0.842376i | \(0.681156\pi\) | |||||||
\(570\) | 19.6305 | − | 6.46100i | 0.822231 | − | 0.270621i | ||||
\(571\) | −21.0371 | − | 14.0565i | −0.880375 | − | 0.588248i | 0.0311396 | − | 0.999515i | \(-0.490086\pi\) |
−0.911515 | + | 0.411267i | \(0.865086\pi\) | |||||||
\(572\) | 13.6352 | + | 9.11074i | 0.570116 | + | 0.380939i | ||||
\(573\) | −28.7649 | − | 5.72169i | −1.20167 | − | 0.239027i | ||||
\(574\) | −2.74722 | + | 2.74722i | −0.114667 | + | 0.114667i | ||||
\(575\) | 6.98645 | + | 14.8564i | 0.291355 | + | 0.619557i | ||||
\(576\) | −0.352840 | − | 0.851831i | −0.0147017 | − | 0.0354930i | ||||
\(577\) | −18.6006 | − | 18.6006i | −0.774352 | − | 0.774352i | 0.204512 | − | 0.978864i | \(-0.434439\pi\) |
−0.978864 | + | 0.204512i | \(0.934439\pi\) | |||||||
\(578\) | −14.6998 | − | 8.53904i | −0.611432 | − | 0.355177i | ||||
\(579\) | − | 1.18304i | − | 0.0491654i | ||||||
\(580\) | 17.7372 | + | 8.95275i | 0.736499 | + | 0.371743i | ||||
\(581\) | 3.26980 | + | 0.650404i | 0.135654 | + | 0.0269833i | ||||
\(582\) | − | 10.0643i | − | 0.417179i | ||||||
\(583\) | −0.716266 | + | 3.60091i | −0.0296647 | + | 0.149135i | ||||
\(584\) | 0.411656 | + | 2.06953i | 0.0170344 | + | 0.0856378i | ||||
\(585\) | −5.21959 | + | 6.67307i | −0.215804 | + | 0.275898i | ||||
\(586\) | 9.74059 | − | 23.5159i | 0.402380 | − | 0.971432i | ||||
\(587\) | 38.6479 | − | 16.0085i | 1.59517 | − | 0.660740i | 0.604446 | − | 0.796646i | \(-0.293394\pi\) |
0.990722 | + | 0.135906i | \(0.0433944\pi\) | |||||||
\(588\) | −1.25893 | − | 6.32907i | −0.0519174 | − | 0.261007i | ||||
\(589\) | −66.0922 | + | 13.1466i | −2.72328 | + | 0.541694i | ||||
\(590\) | −3.65474 | − | 6.46818i | −0.150463 | − | 0.266291i | ||||
\(591\) | 25.4552 | + | 25.4552i | 1.04709 | + | 1.04709i | ||||
\(592\) | 3.51957 | + | 5.26741i | 0.144653 | + | 0.216489i | ||||
\(593\) | 9.93672 | − | 23.9894i | 0.408052 | − | 0.985125i | −0.577597 | − | 0.816322i | \(-0.696010\pi\) |
0.985650 | − | 0.168804i | \(-0.0539904\pi\) | |||||||
\(594\) | 22.5624 | 0.925745 | ||||||||
\(595\) | −18.7495 | − | 24.9793i | −0.768654 | − | 1.02405i | ||||
\(596\) | 1.20744 | 0.0494587 | ||||||||
\(597\) | −9.31569 | + | 22.4901i | −0.381266 | + | 0.920457i | ||||
\(598\) | 7.49598 | + | 11.2185i | 0.306534 | + | 0.458760i | ||||
\(599\) | 26.4954 | + | 26.4954i | 1.08257 | + | 1.08257i | 0.996269 | + | 0.0863049i | \(0.0275059\pi\) |
0.0863049 | + | 0.996269i | \(0.472494\pi\) | |||||||
\(600\) | 3.06725 | + | 6.52239i | 0.125220 | + | 0.266276i | ||||
\(601\) | 40.1212 | − | 7.98061i | 1.63658 | − | 0.325536i | 0.710740 | − | 0.703455i | \(-0.248360\pi\) |
0.925839 | + | 0.377919i | \(0.123360\pi\) | |||||||
\(602\) | −3.05389 | − | 15.3529i | −0.124467 | − | 0.625739i | ||||
\(603\) | −8.01665 | + | 3.32061i | −0.326463 | + | 0.135226i | ||||
\(604\) | 2.75046 | − | 6.64020i | 0.111915 | − | 0.270186i | ||||
\(605\) | −1.33628 | − | 10.9336i | −0.0543273 | − | 0.444516i | ||||
\(606\) | −0.0772859 | − | 0.388543i | −0.00313953 | − | 0.0157835i | ||||
\(607\) | 2.64843 | − | 13.3146i | 0.107497 | − | 0.540422i | −0.889080 | − | 0.457751i | \(-0.848655\pi\) |
0.996577 | − | 0.0826705i | \(-0.0263449\pi\) | |||||||
\(608\) | 6.41149i | 0.260020i | ||||||||
\(609\) | 42.5582 | + | 8.46535i | 1.72455 | + | 0.343033i | ||||
\(610\) | −0.782243 | − | 2.37670i | −0.0316721 | − | 0.0962296i | ||||
\(611\) | 0.971424i | 0.0392996i | ||||||||
\(612\) | −3.40729 | − | 1.68591i | −0.137731 | − | 0.0681490i | ||||
\(613\) | −21.4097 | − | 21.4097i | −0.864728 | − | 0.864728i | 0.127154 | − | 0.991883i | \(-0.459416\pi\) |
−0.991883 | + | 0.127154i | \(0.959416\pi\) | |||||||
\(614\) | −11.1593 | − | 26.9409i | −0.450352 | − | 1.08725i | ||||
\(615\) | 0.989880 | − | 3.56165i | 0.0399158 | − | 0.143620i | ||||
\(616\) | −9.55972 | + | 9.55972i | −0.385172 | + | 0.385172i | ||||
\(617\) | −33.1615 | − | 6.59622i | −1.33503 | − | 0.265554i | −0.524580 | − | 0.851361i | \(-0.675777\pi\) |
−0.810450 | + | 0.585807i | \(0.800777\pi\) | |||||||
\(618\) | 4.68083 | + | 3.12763i | 0.188291 | + | 0.125812i | ||||
\(619\) | 13.5554 | + | 9.05744i | 0.544838 | + | 0.364049i | 0.797324 | − | 0.603551i | \(-0.206248\pi\) |
−0.252486 | + | 0.967601i | \(0.581248\pi\) | |||||||
\(620\) | −7.34744 | − | 22.3238i | −0.295080 | − | 0.896545i | ||||
\(621\) | 17.1504 | + | 7.10394i | 0.688223 | + | 0.285071i | ||||
\(622\) | −7.72489 | + | 1.53658i | −0.309740 | + | 0.0616111i | ||||
\(623\) | 17.8584 | − | 26.7269i | 0.715480 | − | 1.07079i | ||||
\(624\) | 3.29095 | + | 4.92525i | 0.131743 | + | 0.197168i | ||||
\(625\) | 11.6874 | + | 22.0999i | 0.467495 | + | 0.883996i | ||||
\(626\) | 3.59937 | − | 18.0953i | 0.143860 | − | 0.723232i | ||||
\(627\) | −34.0761 | − | 14.1148i | −1.36087 | − | 0.563690i | ||||
\(628\) | −15.8344 | + | 15.8344i | −0.631862 | + | 0.631862i | ||||
\(629\) | 25.2211 | + | 6.79386i | 1.00563 | + | 0.270889i | ||||
\(630\) | −4.55617 | − | 5.29369i | −0.181522 | − | 0.210905i | ||||
\(631\) | −37.9013 | + | 15.6992i | −1.50883 | + | 0.624976i | −0.975315 | − | 0.220818i | \(-0.929127\pi\) |
−0.533510 | + | 0.845794i | \(0.679127\pi\) | |||||||
\(632\) | 0.0387593 | − | 0.0258982i | 0.00154176 | − | 0.00103017i | ||||
\(633\) | −30.2225 | −1.20124 | ||||||||
\(634\) | 11.3432 | − | 7.57932i | 0.450498 | − | 0.301013i | ||||
\(635\) | 12.5291 | − | 1.53126i | 0.497201 | − | 0.0607663i | ||||
\(636\) | −0.736791 | + | 1.10269i | −0.0292157 | + | 0.0437243i | ||||
\(637\) | −7.03955 | − | 16.9950i | −0.278917 | − | 0.673366i | ||||
\(638\) | −13.5699 | − | 32.7606i | −0.537237 | − | 1.29700i | ||||
\(639\) | 3.19175 | − | 4.77679i | 0.126264 | − | 0.188967i | ||||
\(640\) | −2.21955 | + | 0.271267i | −0.0877355 | + | 0.0107228i | ||||
\(641\) | 27.6769 | − | 18.4931i | 1.09317 | − | 0.730433i | 0.127926 | − | 0.991784i | \(-0.459168\pi\) |
0.965244 | + | 0.261351i | \(0.0841679\pi\) | |||||||
\(642\) | 17.4961 | 0.690515 | ||||||||
\(643\) | 25.9387 | − | 17.3317i | 1.02292 | − | 0.683495i | 0.0734351 | − | 0.997300i | \(-0.476604\pi\) |
0.949487 | + | 0.313805i | \(0.101604\pi\) | |||||||
\(644\) | −10.2766 | + | 4.25672i | −0.404956 | + | 0.167738i | ||||
\(645\) | 9.71603 | + | 11.2888i | 0.382568 | + | 0.444495i | ||||
\(646\) | 17.4036 | + | 19.8982i | 0.684735 | + | 0.782884i | ||||
\(647\) | −12.0824 | + | 12.0824i | −0.475009 | + | 0.475009i | −0.903531 | − | 0.428522i | \(-0.859034\pi\) |
0.428522 | + | 0.903531i | \(0.359034\pi\) | |||||||
\(648\) | 4.97402 | + | 2.06031i | 0.195398 | + | 0.0809365i | ||||
\(649\) | −2.58674 | + | 13.0044i | −0.101538 | + | 0.510468i | ||||
\(650\) | 12.2028 | + | 16.5298i | 0.478635 | + | 0.648353i | ||||
\(651\) | −28.5156 | − | 42.6767i | −1.11762 | − | 1.67263i | ||||
\(652\) | −1.54143 | + | 2.30691i | −0.0603671 | + | 0.0903458i | ||||
\(653\) | 25.3244 | − | 5.03733i | 0.991019 | − | 0.197126i | 0.327148 | − | 0.944973i | \(-0.393912\pi\) |
0.663871 | + | 0.747847i | \(0.268912\pi\) | |||||||
\(654\) | 25.3835 | + | 10.5142i | 0.992572 | + | 0.411137i | ||||
\(655\) | −8.21380 | − | 24.9561i | −0.320940 | − | 0.975114i | ||||
\(656\) | 0.953562 | + | 0.637150i | 0.0372303 | + | 0.0248765i | ||||
\(657\) | 1.61764 | + | 1.08087i | 0.0631103 | + | 0.0421689i | ||||
\(658\) | −0.785468 | − | 0.156239i | −0.0306207 | − | 0.00609084i | ||||
\(659\) | 14.3607 | − | 14.3607i | 0.559413 | − | 0.559413i | −0.369727 | − | 0.929140i | \(-0.620549\pi\) |
0.929140 | + | 0.369727i | \(0.120549\pi\) | |||||||
\(660\) | 3.44456 | − | 12.3938i | 0.134079 | − | 0.482427i | ||||
\(661\) | −15.4896 | − | 37.3951i | −0.602474 | − | 1.45450i | −0.871027 | − | 0.491236i | \(-0.836545\pi\) |
0.268553 | − | 0.963265i | \(-0.413455\pi\) | |||||||
\(662\) | 7.66116 | + | 7.66116i | 0.297759 | + | 0.297759i | ||||
\(663\) | 23.5828 | + | 6.35254i | 0.915880 | + | 0.246712i | ||||
\(664\) | − | 0.984105i | − | 0.0381907i | ||||||
\(665\) | 15.1839 | + | 46.1335i | 0.588808 | + | 1.78898i | ||||
\(666\) | 5.72879 | + | 1.13953i | 0.221986 | + | 0.0441558i | ||||
\(667\) | − | 29.1750i | − | 1.12966i | ||||||
\(668\) | −0.787168 | + | 3.95736i | −0.0304564 | + | 0.153115i | ||||
\(669\) | −0.811395 | − | 4.07916i | −0.0313703 | − | 0.157709i | ||||
\(670\) | 2.55291 | + | 20.8884i | 0.0986277 | + | 0.806989i | ||||
\(671\) | −1.70890 | + | 4.12565i | −0.0659713 | + | 0.159269i | ||||
\(672\) | −4.51172 | + | 1.86882i | −0.174044 | + | 0.0720912i | ||||
\(673\) | 4.85972 | + | 24.4315i | 0.187328 | + | 0.941763i | 0.954019 | + | 0.299746i | \(0.0969021\pi\) |
−0.766691 | + | 0.642017i | \(0.778098\pi\) | |||||||
\(674\) | −24.4738 | + | 4.86815i | −0.942696 | + | 0.187514i | ||||
\(675\) | 26.5948 | + | 9.58210i | 1.02363 | + | 0.368815i | ||||
\(676\) | 2.74766 | + | 2.74766i | 0.105679 | + | 0.105679i | ||||
\(677\) | −10.2644 | − | 15.3618i | −0.394493 | − | 0.590400i | 0.580056 | − | 0.814577i | \(-0.303031\pi\) |
−0.974549 | + | 0.224176i | \(0.928031\pi\) | |||||||
\(678\) | 3.44458 | − | 8.31595i | 0.132288 | − | 0.319372i | ||||
\(679\) | 23.6520 | 0.907681 | ||||||||
\(680\) | −6.15209 | + | 6.86672i | −0.235922 | + | 0.263327i | ||||
\(681\) | 7.09071 | 0.271717 | ||||||||
\(682\) | −16.0513 | + | 38.7513i | −0.614637 | + | 1.48387i | ||||
\(683\) | −18.7472 | − | 28.0572i | −0.717342 | − | 1.07358i | −0.993651 | − | 0.112509i | \(-0.964111\pi\) |
0.276309 | − | 0.961069i | \(-0.410889\pi\) | |||||||
\(684\) | 4.18006 | + | 4.18006i | 0.159828 | + | 0.159828i | ||||
\(685\) | 10.4214 | + | 18.4439i | 0.398183 | + | 0.704705i | ||||
\(686\) | −8.38440 | + | 1.66776i | −0.320118 | + | 0.0636754i | ||||
\(687\) | −3.94460 | − | 19.8309i | −0.150496 | − | 0.756594i | ||||
\(688\) | −4.26901 | + | 1.76828i | −0.162754 | + | 0.0674150i | ||||
\(689\) | −1.44672 | + | 3.49269i | −0.0551157 | + | 0.133061i | ||||
\(690\) | 6.52061 | − | 8.33638i | 0.248235 | − | 0.317361i | ||||
\(691\) | 0.992781 | + | 4.99105i | 0.0377672 | + | 0.189868i | 0.995064 | − | 0.0992401i | \(-0.0316412\pi\) |
−0.957296 | + | 0.289108i | \(0.906641\pi\) | |||||||
\(692\) | −2.13740 | + | 10.7454i | −0.0812517 | + | 0.408480i | ||||
\(693\) | 12.4652i | 0.473513i | ||||||||
\(694\) | −14.5581 | − | 2.89578i | −0.552617 | − | 0.109922i | ||||
\(695\) | −9.71132 | − | 4.90172i | −0.368371 | − | 0.185933i | ||||
\(696\) | − | 12.8087i | − | 0.485511i | ||||||
\(697\) | 4.68890 | − | 0.610976i | 0.177605 | − | 0.0231424i | ||||
\(698\) | 17.0681 | + | 17.0681i | 0.646037 | + | 0.646037i | ||||
\(699\) | −2.54581 | − | 6.14614i | −0.0962915 | − | 0.232468i | ||||
\(700\) | −15.3282 | + | 7.20831i | −0.579352 | + | 0.272448i | ||||
\(701\) | 4.66511 | − | 4.66511i | 0.176199 | − | 0.176199i | −0.613498 | − | 0.789696i | \(-0.710238\pi\) |
0.789696 | + | 0.613498i | \(0.210238\pi\) | |||||||
\(702\) | 22.7858 | + | 4.53238i | 0.859996 | + | 0.171064i | ||||
\(703\) | −33.7720 | − | 22.5657i | −1.27373 | − | 0.851081i | ||||
\(704\) | 3.31818 | + | 2.21714i | 0.125059 | + | 0.0835616i | ||||
\(705\) | 0.723803 | − | 0.238226i | 0.0272600 | − | 0.00897210i | ||||
\(706\) | 26.4531 | + | 10.9572i | 0.995574 | + | 0.412380i | ||||
\(707\) | 0.913111 | − | 0.181629i | 0.0343411 | − | 0.00683086i | ||||
\(708\) | −2.66087 | + | 3.98227i | −0.100001 | + | 0.149663i | ||||
\(709\) | −6.35644 | − | 9.51308i | −0.238721 | − | 0.357271i | 0.692693 | − | 0.721233i | \(-0.256424\pi\) |
−0.931414 | + | 0.363961i | \(0.881424\pi\) | |||||||
\(710\) | −9.08882 | − | 10.5600i | −0.341097 | − | 0.396311i | ||||
\(711\) | 0.00838502 | − | 0.0421543i | 0.000314463 | − | 0.00158091i | ||||
\(712\) | −8.76621 | − | 3.63108i | −0.328528 | − | 0.136081i | ||||
\(713\) | −24.4023 | + | 24.4023i | −0.913874 | + | 0.913874i | ||||
\(714\) | −8.92944 | + | 18.0467i | −0.334176 | + | 0.675381i | ||||
\(715\) | 2.73794 | − | 36.5667i | 0.102393 | − | 1.36752i | ||||
\(716\) | 4.20808 | − | 1.74304i | 0.157263 | − | 0.0651406i | ||||
\(717\) | 19.1580 | − | 12.8010i | 0.715470 | − | 0.478062i | ||||
\(718\) | 2.44275 | 0.0911626 | ||||||||
\(719\) | −2.07623 | + | 1.38730i | −0.0774305 | + | 0.0517374i | −0.593683 | − | 0.804699i | \(-0.702327\pi\) |
0.516252 | + | 0.856436i | \(0.327327\pi\) | |||||||
\(720\) | −1.27021 | + | 1.62392i | −0.0473380 | + | 0.0605200i | ||||
\(721\) | −7.35022 | + | 11.0004i | −0.273736 | + | 0.409675i | ||||
\(722\) | −8.46007 | − | 20.4244i | −0.314851 | − | 0.760118i | ||||
\(723\) | 5.62323 | + | 13.5757i | 0.209130 | + | 0.504885i | ||||
\(724\) | 13.9267 | − | 20.8428i | 0.517583 | − | 0.774617i | ||||
\(725\) | −2.08191 | − | 44.3787i | −0.0773201 | − | 1.64818i | ||||
\(726\) | −5.90428 | + | 3.94512i | −0.219129 | + | 0.146417i | ||||
\(727\) | −3.46425 | −0.128482 | −0.0642410 | − | 0.997934i | \(-0.520463\pi\) | ||||
−0.0642410 | + | 0.997934i | \(0.520463\pi\) | |||||||
\(728\) | −11.5748 | + | 7.73402i | −0.428990 | + | 0.286642i | ||||
\(729\) | 27.1747 | − | 11.2561i | 1.00647 | − | 0.416893i | ||||
\(730\) | 3.57612 | − | 3.07790i | 0.132358 | − | 0.113918i | ||||
\(731\) | −8.44906 | + | 17.0758i | −0.312500 | + | 0.631573i | ||||
\(732\) | −1.14059 | + | 1.14059i | −0.0421573 | + | 0.0421573i | ||||
\(733\) | −3.50704 | − | 1.45266i | −0.129536 | − | 0.0536554i | 0.316974 | − | 0.948434i | \(-0.397333\pi\) |
−0.446510 | + | 0.894779i | \(0.647333\pi\) | |||||||
\(734\) | 0.610498 | − | 3.06918i | 0.0225339 | − | 0.113285i | ||||
\(735\) | −10.9365 | + | 9.41288i | −0.403401 | + | 0.347199i | ||||
\(736\) | 1.82418 | + | 2.73008i | 0.0672402 | + | 0.100632i | ||||
\(737\) | 20.8657 | − | 31.2277i | 0.768598 | − | 1.15029i | ||||
\(738\) | 1.03709 | − | 0.206289i | 0.0381756 | − | 0.00759361i | ||||
\(739\) | −1.03602 | − | 0.429133i | −0.0381105 | − | 0.0157859i | 0.363547 | − | 0.931576i | \(-0.381566\pi\) |
−0.401657 | + | 0.915790i | \(0.631566\pi\) | |||||||
\(740\) | 6.38300 | − | 12.6460i | 0.234644 | − | 0.464878i | ||||
\(741\) | −31.5782 | − | 21.0999i | −1.16005 | − | 0.775123i | ||||
\(742\) | −2.59141 | − | 1.73153i | −0.0951338 | − | 0.0635664i | ||||
\(743\) | −32.8308 | − | 6.53046i | −1.20445 | − | 0.239579i | −0.448241 | − | 0.893913i | \(-0.647949\pi\) |
−0.756206 | + | 0.654334i | \(0.772949\pi\) | |||||||
\(744\) | −10.7133 | + | 10.7133i | −0.392769 | + | 0.392769i | ||||
\(745\) | −1.32819 | − | 2.35063i | −0.0486611 | − | 0.0861206i | ||||
\(746\) | 14.0960 | + | 34.0308i | 0.516093 | + | 1.24596i | ||||
\(747\) | −0.641600 | − | 0.641600i | −0.0234749 | − | 0.0234749i | ||||
\(748\) | 16.3163 | − | 2.12606i | 0.596584 | − | 0.0777366i | ||||
\(749\) | 41.1174i | 1.50240i | ||||||||
\(750\) | 9.32375 | − | 13.1459i | 0.340455 | − | 0.480022i | ||||
\(751\) | −48.2534 | − | 9.59819i | −1.76079 | − | 0.350243i | −0.794415 | − | 0.607376i | \(-0.792222\pi\) |
−0.966376 | + | 0.257133i | \(0.917222\pi\) | |||||||
\(752\) | 0.236401i | 0.00862064i | ||||||||
\(753\) | −4.76582 | + | 23.9594i | −0.173676 | + | 0.873129i | ||||
\(754\) | −7.12326 | − | 35.8110i | −0.259414 | − | 1.30416i | ||||
\(755\) | −15.9526 | + | 1.94967i | −0.580574 | + | 0.0709559i | ||||
\(756\) | −7.32953 | + | 17.6950i | −0.266572 | + | 0.643563i | ||||
\(757\) | 0.856120 | − | 0.354617i | 0.0311162 | − | 0.0128888i | −0.367071 | − | 0.930193i | \(-0.619639\pi\) |
0.398187 | + | 0.917304i | \(0.369639\pi\) | |||||||
\(758\) | 2.94824 | + | 14.8218i | 0.107085 | + | 0.538352i | ||||
\(759\) | −18.5259 | + | 3.68502i | −0.672446 | + | 0.133758i | ||||
\(760\) | 12.4818 | − | 7.05266i | 0.452763 | − | 0.255827i | ||||
\(761\) | −10.7310 | − | 10.7310i | −0.388999 | − | 0.388999i | 0.485331 | − | 0.874330i | \(-0.338699\pi\) |
−0.874330 | + | 0.485331i | \(0.838699\pi\) | |||||||
\(762\) | −4.52078 | − | 6.76583i | −0.163771 | − | 0.245100i | ||||
\(763\) | −24.7093 | + | 59.6535i | −0.894536 | + | 2.15960i | ||||
\(764\) | −20.3454 | −0.736072 | ||||||||
\(765\) | 0.465910 | + | 8.48778i | 0.0168450 | + | 0.306876i | ||||
\(766\) | −13.4045 | −0.484325 | ||||||||
\(767\) | −5.22472 | + | 12.6136i | −0.188654 | + | 0.455450i | ||||
\(768\) | 0.800867 | + | 1.19858i | 0.0288988 | + | 0.0432501i | ||||
\(769\) | −3.05558 | − | 3.05558i | −0.110187 | − | 0.110187i | 0.649864 | − | 0.760051i | \(-0.274826\pi\) |
−0.760051 | + | 0.649864i | \(0.774826\pi\) | |||||||
\(770\) | 29.1265 | + | 8.09504i | 1.04965 | + | 0.291725i | ||||
\(771\) | 11.4260 | − | 2.27278i | 0.411499 | − | 0.0818522i | ||||
\(772\) | −0.160108 | − | 0.804919i | −0.00576242 | − | 0.0289697i | ||||
\(773\) | 44.4276 | − | 18.4025i | 1.59795 | − | 0.661893i | 0.606826 | − | 0.794834i | \(-0.292442\pi\) |
0.991124 | + | 0.132942i | \(0.0424423\pi\) | |||||||
\(774\) | −1.63038 | + | 3.93609i | −0.0586028 | + | 0.141480i | ||||
\(775\) | −35.3775 | + | 38.8602i | −1.27080 | + | 1.39590i | ||||
\(776\) | −1.36207 | − | 6.84757i | −0.0488953 | − | 0.245813i | ||||
\(777\) | 6.03550 | − | 30.3425i | 0.216523 | − | 1.08853i | ||||
\(778\) | − | 28.9322i | − | 1.03727i | ||||||
\(779\) | −7.21166 | − | 1.43449i | −0.258385 | − | 0.0513959i | ||||
\(780\) | 5.96837 | − | 11.8246i | 0.213702 | − | 0.423388i | ||||
\(781\) | 24.8660i | 0.889774i | ||||||||
\(782\) | 13.0720 | + | 3.52123i | 0.467454 | + | 0.125919i | ||||
\(783\) | −35.5220 | − | 35.5220i | −1.26945 | − | 1.26945i | ||||
\(784\) | −1.71311 | − | 4.13581i | −0.0611824 | − | 0.147707i | ||||
\(785\) | 48.2442 | + | 13.4084i | 1.72191 | + | 0.478565i | ||||
\(786\) | −11.9765 | + | 11.9765i | −0.427189 | + | 0.427189i | ||||
\(787\) | −21.3018 | − | 4.23720i | −0.759329 | − | 0.151040i | −0.199784 | − | 0.979840i | \(-0.564024\pi\) |
−0.559545 | + | 0.828800i | \(0.689024\pi\) | |||||||
\(788\) | 20.7643 | + | 13.8743i | 0.739698 | + | 0.494250i | ||||
\(789\) | 2.39321 | + | 1.59909i | 0.0852004 | + | 0.0569291i | ||||
\(790\) | −0.0930537 | − | 0.0469682i | −0.00331070 | − | 0.00167105i | ||||
\(791\) | 19.5432 | + | 8.09508i | 0.694878 | + | 0.287828i | ||||
\(792\) | 3.60883 | − | 0.717841i | 0.128234 | − | 0.0255074i | ||||
\(793\) | −2.55459 | + | 3.82322i | −0.0907163 | + | 0.135767i | ||||
\(794\) | −4.30718 | − | 6.44614i | −0.152856 | − | 0.228765i | ||||
\(795\) | 2.95717 | + | 0.221419i | 0.104880 | + | 0.00785292i | ||||
\(796\) | −3.29450 | + | 16.5626i | −0.116771 | + | 0.587045i | ||||
\(797\) | 43.8685 | + | 18.1709i | 1.55390 | + | 0.643647i | 0.984016 | − | 0.178078i | \(-0.0569881\pi\) |
0.569884 | + | 0.821725i | \(0.306988\pi\) | |||||||
\(798\) | 22.1397 | − | 22.1397i | 0.783736 | − | 0.783736i | ||||
\(799\) | 0.641694 | + | 0.733674i | 0.0227015 | + | 0.0259555i | ||||
\(800\) | 2.96962 | + | 4.02261i | 0.104992 | + | 0.142221i | ||||
\(801\) | −8.08258 | + | 3.34791i | −0.285584 | + | 0.118293i | ||||
\(802\) | 18.0601 | − | 12.0674i | 0.637726 | − | 0.426115i | ||||
\(803\) | −8.42078 | −0.297163 | ||||||||
\(804\) | 11.2799 | − | 7.53702i | 0.397813 | − | 0.265810i | ||||
\(805\) | 19.5913 | + | 15.3240i | 0.690501 | + | 0.540101i | ||||
\(806\) | −23.9948 | + | 35.9107i | −0.845180 | + | 1.26490i | ||||
\(807\) | 11.0257 | + | 26.6183i | 0.388122 | + | 0.937009i | ||||
\(808\) | −0.105168 | − | 0.253898i | −0.00369979 | − | 0.00893209i | ||||
\(809\) | −12.2131 | + | 18.2782i | −0.429389 | + | 0.642626i | −0.981571 | − | 0.191098i | \(-0.938795\pi\) |
0.552182 | + | 0.833724i | \(0.313795\pi\) | |||||||
\(810\) | −1.46046 | − | 11.9497i | −0.0513152 | − | 0.419870i | ||||
\(811\) | 4.88955 | − | 3.26709i | 0.171695 | − | 0.114723i | −0.466753 | − | 0.884387i | \(-0.654576\pi\) |
0.638449 | + | 0.769664i | \(0.279576\pi\) | |||||||
\(812\) | 30.1015 | 1.05636 | ||||||||
\(813\) | 5.65077 | − | 3.77572i | 0.198181 | − | 0.132420i | ||||
\(814\) | −23.3572 | + | 9.67486i | −0.818668 | + | 0.339104i | ||||
\(815\) | 6.18666 | + | 0.463228i | 0.216709 | + | 0.0162262i | ||||
\(816\) | 5.73898 | + | 1.54592i | 0.200904 | + | 0.0541180i | ||||
\(817\) | 20.9486 | − | 20.9486i | 0.732900 | − | 0.732900i | ||||
\(818\) | 21.9979 | + | 9.11183i | 0.769139 | + | 0.318588i | ||||
\(819\) | −2.50404 | + | 12.5886i | −0.0874981 | + | 0.439882i | ||||
\(820\) | 0.191475 | − | 2.55725i | 0.00668659 | − | 0.0893031i | ||||
\(821\) | −24.8776 | − | 37.2319i | −0.868234 | − | 1.29940i | −0.952990 | − | 0.303002i | \(-0.902011\pi\) |
0.0847559 | − | 0.996402i | \(-0.472989\pi\) | |||||||
\(822\) | 7.58742 | − | 11.3554i | 0.264642 | − | 0.396064i | ||||
\(823\) | −31.8128 | + | 6.32796i | −1.10892 | + | 0.220579i | −0.715386 | − | 0.698730i | \(-0.753749\pi\) |
−0.393538 | + | 0.919308i | \(0.628749\pi\) | |||||||
\(824\) | 3.60803 | + | 1.49450i | 0.125692 | + | 0.0520632i | ||||
\(825\) | −27.9171 | + | 6.92735i | −0.971949 | + | 0.241179i | ||||
\(826\) | −9.35869 | − | 6.25328i | −0.325631 | − | 0.217579i | ||||
\(827\) | −29.5034 | − | 19.7136i | −1.02594 | − | 0.685508i | −0.0757284 | − | 0.997128i | \(-0.524128\pi\) |
−0.950207 | + | 0.311621i | \(0.899128\pi\) | |||||||
\(828\) | 2.96921 | + | 0.590613i | 0.103187 | + | 0.0205252i | ||||
\(829\) | −37.4477 | + | 37.4477i | −1.30061 | + | 1.30061i | −0.372634 | + | 0.927978i | \(0.621545\pi\) |
−0.927978 | + | 0.372634i | \(0.878455\pi\) | |||||||
\(830\) | −1.91585 | + | 1.08252i | −0.0665000 | + | 0.0375748i | ||||
\(831\) | 4.42995 | + | 10.6948i | 0.153673 | + | 0.371000i | ||||
\(832\) | 2.90567 | + | 2.90567i | 0.100736 | + | 0.100736i | ||||
\(833\) | −16.5430 | − | 8.18544i | −0.573183 | − | 0.283609i | ||||
\(834\) | 7.01287i | 0.242836i | ||||||||
\(835\) | 8.57004 | − | 2.82066i | 0.296578 | − | 0.0976130i | ||||
\(836\) | −25.0950 | − | 4.99171i | −0.867929 | − | 0.172642i | ||||
\(837\) | 59.4220i | 2.05393i | ||||||||
\(838\) | 5.25544 | − | 26.4209i | 0.181546 | − | 0.912694i | ||||
\(839\) | 1.12143 | + | 5.63782i | 0.0387161 | + | 0.194639i | 0.995303 | − | 0.0968079i | \(-0.0308633\pi\) |
−0.956587 | + | 0.291447i | \(0.905863\pi\) | |||||||
\(840\) | 8.60111 | + | 6.72767i | 0.296766 | + | 0.232127i | ||||
\(841\) | −19.1159 | + | 46.1499i | −0.659169 | + | 1.59137i | ||||
\(842\) | −7.36955 | + | 3.05257i | −0.253972 | + | 0.105198i | ||||
\(843\) | 0.754899 | + | 3.79514i | 0.0260001 | + | 0.130711i | ||||
\(844\) | −20.5628 | + | 4.09020i | −0.707801 | + | 0.140790i | ||||
\(845\) | 2.32668 | − | 8.37156i | 0.0800403 | − | 0.287990i | ||||
\(846\) | 0.154124 | + | 0.154124i | 0.00529891 | + | 0.00529891i | ||||
\(847\) | −9.27138 | − | 13.8756i | −0.318569 | − | 0.476772i | ||||
\(848\) | −0.352066 | + | 0.849962i | −0.0120900 | + | 0.0291878i | ||||
\(849\) | 20.7872 | 0.713416 | ||||||||
\(850\) | 20.1354 | + | 4.42341i | 0.690638 | + | 0.151722i | ||||
\(851\) | −20.8008 | −0.713042 | ||||||||
\(852\) | −3.43726 | + | 8.29827i | −0.117758 | + | 0.284294i | ||||
\(853\) | 28.6707 | + | 42.9088i | 0.981667 | + | 1.46917i | 0.880356 | + | 0.474314i | \(0.157304\pi\) |
0.101312 | + | 0.994855i | \(0.467696\pi\) | |||||||
\(854\) | −2.68049 | − | 2.68049i | −0.0917243 | − | 0.0917243i | ||||
\(855\) | 3.53961 | − | 12.7358i | 0.121052 | − | 0.435554i | ||||
\(856\) | 11.9040 | − | 2.36785i | 0.406871 | − | 0.0809316i | ||||
\(857\) | −8.23610 | − | 41.4056i | −0.281340 | − | 1.41439i | −0.820240 | − | 0.572020i | \(-0.806160\pi\) |
0.538900 | − | 0.842370i | \(-0.318840\pi\) | |||||||
\(858\) | −21.8399 | + | 9.04640i | −0.745603 | + | 0.308839i | ||||
\(859\) | 15.3248 | − | 36.9973i | 0.522874 | − | 1.26233i | −0.413236 | − | 0.910624i | \(-0.635602\pi\) |
0.936110 | − | 0.351706i | \(-0.114398\pi\) | |||||||
\(860\) | 8.13839 | + | 6.36574i | 0.277517 | + | 0.217070i | ||||
\(861\) | −1.09261 | − | 5.49292i | −0.0372361 | − | 0.187198i | ||||
\(862\) | −3.04448 | + | 15.3057i | −0.103696 | + | 0.521313i | ||||
\(863\) | 18.5491i | 0.631417i | 0.948856 | + | 0.315709i | \(0.102242\pi\) | ||||
−0.948856 | + | 0.315709i | \(0.897758\pi\) | |||||||
\(864\) | 5.54504 | + | 1.10298i | 0.188646 | + | 0.0375240i | ||||
\(865\) | 23.2702 | − | 7.65895i | 0.791212 | − | 0.260412i | ||||
\(866\) | 21.2306i | 0.721444i | ||||||||
\(867\) | 22.0073 | − | 10.7803i | 0.747408 | − | 0.366118i | ||||
\(868\) | −25.1772 | − | 25.1772i | −0.854571 | − | 0.854571i | ||||
\(869\) | 0.0711908 | + | 0.171870i | 0.00241498 | + | 0.00583028i | ||||
\(870\) | −24.9358 | + | 14.0896i | −0.845401 | + | 0.477681i | ||||
\(871\) | 27.3455 | − | 27.3455i | 0.926565 | − | 0.926565i | ||||
\(872\) | 18.6934 | + | 3.71835i | 0.633039 | + | 0.125919i | ||||
\(873\) | −5.35238 | − | 3.57634i | −0.181151 | − | 0.121041i | ||||
\(874\) | −17.5039 | − | 11.6957i | −0.592078 | − | 0.395614i | ||||
\(875\) | 30.8942 | + | 21.9117i | 1.04441 | + | 0.740749i | ||||
\(876\) | −2.81018 | − | 1.16402i | −0.0949473 | − | 0.0393285i | ||||
\(877\) | −15.2498 | + | 3.03337i | −0.514949 | + | 0.102430i | −0.445722 | − | 0.895171i | \(-0.647053\pi\) |
−0.0692263 | + | 0.997601i | \(0.522053\pi\) | |||||||
\(878\) | −3.40064 | + | 5.08942i | −0.114766 | + | 0.171760i | ||||
\(879\) | 20.3848 | + | 30.5080i | 0.687561 | + | 1.02901i | ||||
\(880\) | 0.666291 | − | 8.89867i | 0.0224606 | − | 0.299974i | ||||
\(881\) | −8.46141 | + | 42.5384i | −0.285072 | + | 1.43316i | 0.527133 | + | 0.849783i | \(0.323267\pi\) |
−0.812205 | + | 0.583372i | \(0.801733\pi\) | |||||||
\(882\) | −3.81328 | − | 1.57951i | −0.128400 | − | 0.0531849i | ||||
\(883\) | 8.26816 | − | 8.26816i | 0.278246 | − | 0.278246i | −0.554163 | − | 0.832408i | \(-0.686961\pi\) |
0.832408 | + | 0.554163i | \(0.186961\pi\) | |||||||
\(884\) | 16.9050 | + | 1.13055i | 0.568578 | + | 0.0380244i | ||||
\(885\) | 10.6796 | + | 0.799638i | 0.358991 | + | 0.0268795i | ||||
\(886\) | −12.5852 | + | 5.21295i | −0.422807 | + | 0.175132i | ||||
\(887\) | −3.17047 | + | 2.11844i | −0.106454 | + | 0.0711304i | −0.607658 | − | 0.794199i | \(-0.707891\pi\) |
0.501204 | + | 0.865329i | \(0.332891\pi\) | |||||||
\(888\) | −9.13213 | −0.306454 | ||||||||
\(889\) | 15.9003 | − | 10.6243i | 0.533280 | − | 0.356326i | ||||
\(890\) | 2.57391 | + | 21.0602i | 0.0862776 | + | 0.705939i | ||||
\(891\) | −11.9367 | + | 17.8646i | −0.399896 | + | 0.598486i | ||||
\(892\) | −1.10412 | − | 2.66557i | −0.0369686 | − | 0.0892500i | ||||
\(893\) | −0.580026 | − | 1.40031i | −0.0194098 | − | 0.0468594i | ||||
\(894\) | −0.966999 | + | 1.44722i | −0.0323413 | + | 0.0484021i | ||||
\(895\) | −8.02225 | − | 6.27490i | −0.268154 | − | 0.209747i | ||||
\(896\) | −2.81678 | + | 1.88211i | −0.0941019 | + | 0.0628769i | ||||
\(897\) | −19.4496 | −0.649403 | ||||||||
\(898\) | −14.9345 | + | 9.97891i | −0.498371 | + | 0.333001i | ||||
\(899\) | 86.2809 | − | 35.7387i | 2.87763 | − | 1.19195i | ||||
\(900\) | 4.55867 | + | 0.686513i | 0.151956 | + | 0.0228838i | ||||
\(901\) | 1.21453 | + | 3.59354i | 0.0404617 | + | 0.119718i | ||||
\(902\) | −3.23625 | + | 3.23625i | −0.107755 | + | 0.107755i | ||||
\(903\) | 20.8475 | + | 8.63532i | 0.693761 | + | 0.287365i | ||||
\(904\) | 1.21818 | − | 6.12420i | 0.0405160 | − | 0.203688i | ||||
\(905\) | −55.8961 | − | 4.18523i | −1.85805 | − | 0.139122i | ||||
\(906\) | 5.75607 | + | 8.61456i | 0.191233 | + | 0.286200i | ||||
\(907\) | 23.5486 | − | 35.2429i | 0.781917 | − | 1.17022i | −0.199793 | − | 0.979838i | \(-0.564027\pi\) |
0.981710 | − | 0.190384i | \(-0.0609732\pi\) | |||||||
\(908\) | 4.82439 | − | 0.959632i | 0.160103 | − | 0.0318465i | ||||
\(909\) | −0.234098 | − | 0.0969664i | −0.00776453 | − | 0.00321617i | ||||
\(910\) | 27.7888 | + | 14.0262i | 0.921191 | + | 0.464965i | ||||
\(911\) | 49.6433 | + | 33.1706i | 1.64476 | + | 1.09899i | 0.904309 | + | 0.426879i | \(0.140387\pi\) |
0.740448 | + | 0.672113i | \(0.234613\pi\) | |||||||
\(912\) | −7.68469 | − | 5.13475i | −0.254466 | − | 0.170029i | ||||
\(913\) | 3.85185 | + | 0.766181i | 0.127478 | + | 0.0253569i | ||||
\(914\) | 9.97995 | − | 9.97995i | 0.330107 | − | 0.330107i | ||||
\(915\) | 3.47514 | + | 0.965834i | 0.114884 | + | 0.0319295i | ||||
\(916\) | −5.36767 | − | 12.9587i | −0.177353 | − | 0.428168i | ||||
\(917\) | −28.1460 | − | 28.1460i | −0.929461 | − | 0.929461i | ||||
\(918\) | 20.2031 | − | 11.6285i | 0.666801 | − | 0.383799i | ||||
\(919\) | − | 14.6741i | − | 0.484053i | −0.970270 | − | 0.242026i | \(-0.922188\pi\) | ||
0.970270 | − | 0.242026i | \(-0.0778120\pi\) | |||||||
\(920\) | 3.30829 | − | 6.55440i | 0.109071 | − | 0.216092i | ||||
\(921\) | 41.2280 | + | 8.20075i | 1.35851 | + | 0.270224i | ||||
\(922\) | − | 0.0301360i | − | 0.000992478i | ||||||
\(923\) | −4.99514 | + | 25.1123i | −0.164417 | + | 0.826580i | ||||
\(924\) | −3.80204 | − | 19.1142i | −0.125078 | − | 0.628810i | ||||
\(925\) | −31.6405 | + | 1.48433i | −1.04033 | + | 0.0488044i | ||||
\(926\) | 0.609154 | − | 1.47063i | 0.0200181 | − | 0.0483279i | ||||
\(927\) | 3.32666 | − | 1.37795i | 0.109262 | − | 0.0452578i | ||||
\(928\) | −1.73348 | − | 8.71477i | −0.0569042 | − | 0.286077i | ||||
\(929\) | −2.76873 | + | 0.550734i | −0.0908391 | + | 0.0180690i | −0.240301 | − | 0.970699i | \(-0.577246\pi\) |
0.149461 | + | 0.988768i | \(0.452246\pi\) | |||||||
\(930\) | 32.6412 | + | 9.07187i | 1.07035 | + | 0.297478i | ||||
\(931\) | 20.2950 | + | 20.2950i | 0.665142 | + | 0.665142i | ||||
\(932\) | −2.56392 | − | 3.83718i | −0.0839840 | − | 0.125691i | ||||
\(933\) | 4.34489 | − | 10.4895i | 0.142245 | − | 0.343411i | ||||
\(934\) | −8.01670 | −0.262314 | ||||||||
\(935\) | −22.0870 | − | 29.4258i | −0.722323 | − | 0.962327i | ||||
\(936\) | 3.78877 | 0.123840 | ||||||||
\(937\) | 2.55815 | − | 6.17591i | 0.0835710 | − | 0.201758i | −0.876570 | − | 0.481274i | \(-0.840174\pi\) |
0.960141 | + | 0.279516i | \(0.0901741\pi\) | |||||||
\(938\) | 17.7127 | + | 26.5089i | 0.578340 | + | 0.865547i | ||||
\(939\) | 18.8060 | + | 18.8060i | 0.613712 | + | 0.613712i | ||||
\(940\) | 0.460222 | − | 0.260041i | 0.0150108 | − | 0.00848162i | ||||
\(941\) | −40.1031 | + | 7.97701i | −1.30733 | + | 0.260043i | −0.799109 | − | 0.601186i | \(-0.794695\pi\) |
−0.508216 | + | 0.861229i | \(0.669695\pi\) | |||||||
\(942\) | −6.29758 | − | 31.6601i | −0.205186 | − | 1.03154i | ||||
\(943\) | −3.47894 | + | 1.44102i | −0.113290 | + | 0.0469262i | ||||
\(944\) | −1.27146 | + | 3.06957i | −0.0413825 | + | 0.0999061i | ||||
\(945\) | 42.5111 | − | 5.19557i | 1.38288 | − | 0.169012i | ||||
\(946\) | −3.59750 | − | 18.0859i | −0.116965 | − | 0.588023i | ||||
\(947\) | −6.26196 | + | 31.4810i | −0.203486 | + | 1.02299i | 0.735102 | + | 0.677956i | \(0.237134\pi\) |
−0.938589 | + | 0.345038i | \(0.887866\pi\) | |||||||
\(948\) | 0.0671972i | 0.00218246i | ||||||||
\(949\) | −8.50419 | − | 1.69159i | −0.276058 | − | 0.0549113i | ||||
\(950\) | −27.4601 | − | 16.5415i | −0.890924 | − | 0.536678i | ||||
\(951\) | 19.6658i | 0.637708i | ||||||||
\(952\) | −3.63305 | + | 13.4871i | −0.117748 | + | 0.437120i | ||||
\(953\) | −9.45879 | − | 9.45879i | −0.306400 | − | 0.306400i | 0.537111 | − | 0.843511i | \(-0.319516\pi\) |
−0.843511 | + | 0.537111i | \(0.819516\pi\) | |||||||
\(954\) | 0.324610 | + | 0.783678i | 0.0105096 | + | 0.0253725i | ||||
\(955\) | 22.3801 | + | 39.6083i | 0.724202 | + | 1.28169i | ||||
\(956\) | 11.3023 | − | 11.3023i | 0.365544 | − | 0.365544i | ||||
\(957\) | 50.1339 | + | 9.97225i | 1.62060 | + | 0.322357i | ||||
\(958\) | 20.8921 | + | 13.9597i | 0.674994 | + | 0.451017i | ||||
\(959\) | 26.6862 | + | 17.8311i | 0.861741 | + | 0.575797i | ||||
\(960\) | 1.45243 | − | 2.87756i | 0.0468770 | − | 0.0928730i | ||||
\(961\) | −73.4183 | − | 30.4109i | −2.36833 | − | 0.980995i | ||||
\(962\) | −25.5320 | + | 5.07864i | −0.823186 | + | 0.163742i | ||||
\(963\) | 6.21722 | − | 9.30473i | 0.200347 | − | 0.299841i | ||||
\(964\) | 5.66323 | + | 8.47562i | 0.182400 | + | 0.272981i | ||||
\(965\) | −1.39089 | + | 1.19711i | −0.0447743 | + | 0.0385364i | ||||
\(966\) | 3.12818 | − | 15.7264i | 0.100648 | − | 0.505990i | ||||
\(967\) | −9.22713 | − | 3.82200i | −0.296725 | − | 0.122907i | 0.229355 | − | 0.973343i | \(-0.426338\pi\) |
−0.526079 | + | 0.850436i | \(0.676338\pi\) | |||||||
\(968\) | −3.48325 | + | 3.48325i | −0.111956 | + | 0.111956i | ||||
\(969\) | −37.7876 | + | 4.92382i | −1.21391 | + | 0.158176i | ||||
\(970\) | −11.8325 | + | 10.1840i | −0.379919 | + | 0.326989i | ||||
\(971\) | 3.40320 | − | 1.40965i | 0.109214 | − | 0.0452379i | −0.327407 | − | 0.944883i | \(-0.606175\pi\) |
0.436621 | + | 0.899645i | \(0.356175\pi\) | |||||||
\(972\) | 7.64959 | − | 5.11129i | 0.245361 | − | 0.163945i | ||||
\(973\) | −16.4809 | −0.528353 | ||||||||
\(974\) | −24.8229 | + | 16.5862i | −0.795378 | + | 0.531455i | ||||
\(975\) | −29.5852 | + | 1.38791i | −0.947484 | + | 0.0444486i | ||||
\(976\) | −0.621672 | + | 0.930398i | −0.0198992 | + | 0.0297813i | ||||
\(977\) | 1.73269 | + | 4.18309i | 0.0554338 | + | 0.133829i | 0.949170 | − | 0.314764i | \(-0.101925\pi\) |
−0.893736 | + | 0.448593i | \(0.851925\pi\) | |||||||
\(978\) | −1.53054 | − | 3.69506i | −0.0489414 | − | 0.118155i | ||||
\(979\) | 21.0373 | − | 31.4845i | 0.672354 | − | 1.00625i | ||||
\(980\) | −6.16712 | + | 7.88446i | −0.197002 | + | 0.251860i | ||||
\(981\) | 14.6116 | − | 9.76319i | 0.466514 | − | 0.311715i | ||||
\(982\) | −13.0634 | −0.416869 | ||||||||
\(983\) | 29.8783 | − | 19.9641i | 0.952971 | − | 0.636755i | 0.0211897 | − | 0.999775i | \(-0.493255\pi\) |
0.931781 | + | 0.363021i | \(0.118255\pi\) | |||||||
\(984\) | −1.52735 | + | 0.632650i | −0.0486902 | + | 0.0201681i | ||||
\(985\) | 4.16947 | − | 55.6855i | 0.132850 | − | 1.77429i | ||||
\(986\) | −29.0356 | − | 22.3411i | −0.924681 | − | 0.711484i | ||||
\(987\) | 0.816320 | − | 0.816320i | 0.0259838 | − | 0.0259838i | ||||
\(988\) | −24.3408 | − | 10.0823i | −0.774384 | − | 0.320760i | ||||
\(989\) | 2.95989 | − | 14.8804i | 0.0941192 | − | 0.473169i | ||||
\(990\) | −5.36721 | − | 6.23600i | −0.170581 | − | 0.198193i | ||||
\(991\) | 8.74298 | + | 13.0848i | 0.277730 | + | 0.415652i | 0.943943 | − | 0.330110i | \(-0.107086\pi\) |
−0.666213 | + | 0.745762i | \(0.732086\pi\) | |||||||
\(992\) | −5.83924 | + | 8.73903i | −0.185396 | + | 0.277465i | ||||
\(993\) | −15.3181 | + | 3.04696i | −0.486105 | + | 0.0966923i | ||||
\(994\) | −19.5017 | − | 8.07787i | −0.618556 | − | 0.256214i | ||||
\(995\) | 35.8678 | − | 11.8052i | 1.13709 | − | 0.374250i | ||||
\(996\) | 1.17953 | + | 0.788137i | 0.0373748 | + | 0.0249731i | ||||
\(997\) | 19.7532 | + | 13.1987i | 0.625591 | + | 0.418007i | 0.827554 | − | 0.561387i | \(-0.189732\pi\) |
−0.201963 | + | 0.979393i | \(0.564732\pi\) | |||||||
\(998\) | 1.32536 | + | 0.263630i | 0.0419535 | + | 0.00834507i | ||||
\(999\) | −25.3260 | + | 25.3260i | −0.801278 | + | 0.801278i |
(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 | 170.2.o.a.3.1 | ✓ | 32 | |
5.2 | odd | 4 | 170.2.r.a.37.1 | yes | 32 | ||
5.3 | odd | 4 | 850.2.v.c.207.4 | 32 | |||
5.4 | even | 2 | 850.2.s.c.343.4 | 32 | |||
17.6 | odd | 16 | 170.2.r.a.23.1 | yes | 32 | ||
85.23 | even | 16 | 850.2.s.c.57.4 | 32 | |||
85.57 | even | 16 | inner | 170.2.o.a.57.1 | yes | 32 | |
85.74 | odd | 16 | 850.2.v.c.193.4 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
170.2.o.a.3.1 | ✓ | 32 | 1.1 | even | 1 | trivial | |
170.2.o.a.57.1 | yes | 32 | 85.57 | even | 16 | inner | |
170.2.r.a.23.1 | yes | 32 | 17.6 | odd | 16 | ||
170.2.r.a.37.1 | yes | 32 | 5.2 | odd | 4 | ||
850.2.s.c.57.4 | 32 | 85.23 | even | 16 | |||
850.2.s.c.343.4 | 32 | 5.4 | even | 2 | |||
850.2.v.c.193.4 | 32 | 85.74 | odd | 16 | |||
850.2.v.c.207.4 | 32 | 5.3 | odd | 4 |