Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(23,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.23");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.w (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(480\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 23.13 | ||
Character | \(\chi\) | \(=\) | 450.23 |
Dual form | 450.2.w.a.137.13 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.358368 | − | 0.933580i | −0.253404 | − | 0.660141i | ||||
\(3\) | 1.39329 | − | 1.02895i | 0.804417 | − | 0.594066i | ||||
\(4\) | −0.743145 | + | 0.669131i | −0.371572 | + | 0.334565i | ||||
\(5\) | −1.12618 | − | 1.93176i | −0.503644 | − | 0.863911i | ||||
\(6\) | −1.45992 | − | 0.932005i | −0.596010 | − | 0.380490i | ||||
\(7\) | 3.27132 | + | 0.876546i | 1.23644 | + | 0.331303i | 0.817084 | − | 0.576518i | \(-0.195589\pi\) |
0.419357 | + | 0.907821i | \(0.362256\pi\) | |||||||
\(8\) | 0.891007 | + | 0.453990i | 0.315018 | + | 0.160510i | ||||
\(9\) | 0.882516 | − | 2.86726i | 0.294172 | − | 0.955752i | ||||
\(10\) | −1.39987 | + | 1.74366i | −0.442678 | + | 0.551395i | ||||
\(11\) | 0.780328 | − | 1.75265i | 0.235278 | − | 0.528443i | −0.756862 | − | 0.653574i | \(-0.773269\pi\) |
0.992140 | + | 0.125132i | \(0.0399353\pi\) | |||||||
\(12\) | −0.346913 | + | 1.69695i | −0.100145 | + | 0.489868i | ||||
\(13\) | 0.854670 | + | 0.328077i | 0.237043 | + | 0.0909922i | 0.473990 | − | 0.880530i | \(-0.342813\pi\) |
−0.236947 | + | 0.971523i | \(0.576147\pi\) | |||||||
\(14\) | −0.354008 | − | 3.36816i | −0.0946127 | − | 0.900179i | ||||
\(15\) | −3.55679 | − | 1.53272i | −0.918360 | − | 0.395747i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | −0.905589 | + | 1.77732i | −0.219638 | + | 0.431063i | −0.974364 | − | 0.224976i | \(-0.927769\pi\) |
0.754727 | + | 0.656039i | \(0.227769\pi\) | |||||||
\(18\) | −2.99308 | + | 0.203633i | −0.705476 | + | 0.0479968i | ||||
\(19\) | 1.31698 | − | 0.427914i | 0.302137 | − | 0.0981702i | −0.154025 | − | 0.988067i | \(-0.549224\pi\) |
0.456162 | + | 0.889897i | \(0.349224\pi\) | |||||||
\(20\) | 2.12952 | + | 0.682017i | 0.476175 | + | 0.152504i | ||||
\(21\) | 5.45982 | − | 2.14474i | 1.19143 | − | 0.468021i | ||||
\(22\) | −1.91588 | − | 0.100407i | −0.408467 | − | 0.0214069i | ||||
\(23\) | −6.25570 | − | 5.06577i | −1.30440 | − | 1.05629i | −0.994414 | − | 0.105546i | \(-0.966341\pi\) |
−0.309990 | − | 0.950740i | \(-0.600326\pi\) | |||||||
\(24\) | 1.70857 | − | 0.284262i | 0.348759 | − | 0.0580248i | ||||
\(25\) | −2.46342 | + | 4.35104i | −0.492685 | + | 0.870208i | ||||
\(26\) | − | 0.915475i | − | 0.179539i | ||||||
\(27\) | −1.72067 | − | 4.90299i | −0.331143 | − | 0.943581i | ||||
\(28\) | −3.01759 | + | 1.53754i | −0.570270 | + | 0.290567i | ||||
\(29\) | 0.247869 | − | 0.0526863i | 0.0460282 | − | 0.00978359i | −0.184840 | − | 0.982769i | \(-0.559177\pi\) |
0.230868 | + | 0.972985i | \(0.425843\pi\) | |||||||
\(30\) | −0.156278 | + | 3.86983i | −0.0285323 | + | 0.706531i | ||||
\(31\) | −4.03688 | − | 0.858065i | −0.725045 | − | 0.154113i | −0.169417 | − | 0.985544i | \(-0.554189\pi\) |
−0.555627 | + | 0.831431i | \(0.687522\pi\) | |||||||
\(32\) | −0.965926 | + | 0.258819i | −0.170753 | + | 0.0457532i | ||||
\(33\) | −0.716165 | − | 3.24487i | −0.124668 | − | 0.564859i | ||||
\(34\) | 1.98380 | + | 0.208506i | 0.340219 | + | 0.0357585i | ||||
\(35\) | −1.99082 | − | 7.30656i | −0.336510 | − | 1.23503i | ||||
\(36\) | 1.26273 | + | 2.72131i | 0.210455 | + | 0.453551i | ||||
\(37\) | 2.98233 | − | 0.472355i | 0.490293 | − | 0.0776547i | 0.0936070 | − | 0.995609i | \(-0.470160\pi\) |
0.396686 | + | 0.917954i | \(0.370160\pi\) | |||||||
\(38\) | −0.871457 | − | 1.07616i | −0.141369 | − | 0.174576i | ||||
\(39\) | 1.52838 | − | 0.422307i | 0.244736 | − | 0.0676233i | ||||
\(40\) | −0.126434 | − | 2.23249i | −0.0199909 | − | 0.352988i | ||||
\(41\) | 4.68321 | + | 10.5187i | 0.731395 | + | 1.64274i | 0.765593 | + | 0.643326i | \(0.222446\pi\) |
−0.0341975 | + | 0.999415i | \(0.510888\pi\) | |||||||
\(42\) | −3.95891 | − | 4.32857i | −0.610874 | − | 0.667913i | ||||
\(43\) | −0.690729 | + | 2.57784i | −0.105335 | + | 0.393116i | −0.998383 | − | 0.0568456i | \(-0.981896\pi\) |
0.893048 | + | 0.449962i | \(0.148562\pi\) | |||||||
\(44\) | 0.592852 | + | 1.82461i | 0.0893758 | + | 0.275071i | ||||
\(45\) | −6.53274 | + | 1.52424i | −0.973843 | + | 0.227221i | ||||
\(46\) | −2.48746 | + | 7.65561i | −0.366756 | + | 1.12876i | ||||
\(47\) | 9.99776 | + | 6.49262i | 1.45832 | + | 0.947046i | 0.998248 | + | 0.0591662i | \(0.0188442\pi\) |
0.460075 | + | 0.887880i | \(0.347822\pi\) | |||||||
\(48\) | −0.877677 | − | 1.49321i | −0.126682 | − | 0.215527i | ||||
\(49\) | 3.87100 | + | 2.23492i | 0.553000 | + | 0.319274i | ||||
\(50\) | 4.94486 | + | 0.740532i | 0.699308 | + | 0.104727i | ||||
\(51\) | 0.567026 | + | 3.40813i | 0.0793996 | + | 0.477233i | ||||
\(52\) | −0.854670 | + | 0.328077i | −0.118521 | + | 0.0454961i | ||||
\(53\) | −5.33540 | − | 10.4713i | −0.732873 | − | 1.43834i | −0.892444 | − | 0.451158i | \(-0.851011\pi\) |
0.159571 | − | 0.987186i | \(-0.448989\pi\) | |||||||
\(54\) | −3.96070 | + | 3.36346i | −0.538983 | + | 0.457708i | ||||
\(55\) | −4.26449 | + | 0.466390i | −0.575024 | + | 0.0628880i | ||||
\(56\) | 2.51682 | + | 2.26616i | 0.336324 | + | 0.302828i | ||||
\(57\) | 1.39464 | − | 1.95132i | 0.184724 | − | 0.258459i | ||||
\(58\) | −0.138015 | − | 0.212525i | −0.0181223 | − | 0.0279059i | ||||
\(59\) | −2.97199 | + | 1.32322i | −0.386920 | + | 0.172268i | −0.590972 | − | 0.806692i | \(-0.701256\pi\) |
0.204052 | + | 0.978960i | \(0.434589\pi\) | |||||||
\(60\) | 3.66880 | − | 1.24093i | 0.473640 | − | 0.160203i | ||||
\(61\) | 7.30047 | + | 3.25038i | 0.934729 | + | 0.416168i | 0.816844 | − | 0.576859i | \(-0.195722\pi\) |
0.117885 | + | 0.993027i | \(0.462388\pi\) | |||||||
\(62\) | 0.645615 | + | 4.07625i | 0.0819932 | + | 0.517685i | ||||
\(63\) | 5.40027 | − | 8.60614i | 0.680371 | − | 1.08427i | ||||
\(64\) | 0.587785 | + | 0.809017i | 0.0734732 | + | 0.101127i | ||||
\(65\) | −0.328747 | − | 2.02049i | −0.0407761 | − | 0.250612i | ||||
\(66\) | −2.77269 | + | 1.83145i | −0.341295 | + | 0.225436i | ||||
\(67\) | 4.46444 | − | 2.89924i | 0.545418 | − | 0.354199i | −0.242332 | − | 0.970193i | \(-0.577912\pi\) |
0.787750 | + | 0.615995i | \(0.211246\pi\) | |||||||
\(68\) | −0.516274 | − | 1.92676i | −0.0626074 | − | 0.233654i | ||||
\(69\) | −13.9284 | − | 0.621269i | −1.67679 | − | 0.0747921i | ||||
\(70\) | −6.10782 | + | 4.47703i | −0.730024 | + | 0.535107i | ||||
\(71\) | 1.02384 | + | 0.332666i | 0.121508 | + | 0.0394802i | 0.369140 | − | 0.929374i | \(-0.379652\pi\) |
−0.247632 | + | 0.968854i | \(0.579652\pi\) | |||||||
\(72\) | 2.08804 | − | 2.15409i | 0.246077 | − | 0.253862i | ||||
\(73\) | −5.92288 | − | 0.938092i | −0.693221 | − | 0.109795i | −0.200125 | − | 0.979770i | \(-0.564135\pi\) |
−0.493096 | + | 0.869975i | \(0.664135\pi\) | |||||||
\(74\) | −1.50975 | − | 2.61497i | −0.175505 | − | 0.303984i | ||||
\(75\) | 1.04474 | + | 8.59701i | 0.120637 | + | 0.992697i | ||||
\(76\) | −0.692379 | + | 1.19924i | −0.0794213 | + | 0.137562i | ||||
\(77\) | 4.08898 | − | 5.04947i | 0.465982 | − | 0.575440i | ||||
\(78\) | −0.941980 | − | 1.27552i | −0.106658 | − | 0.144425i | ||||
\(79\) | 2.08926 | + | 9.82920i | 0.235060 | + | 1.10587i | 0.924397 | + | 0.381431i | \(0.124569\pi\) |
−0.689337 | + | 0.724441i | \(0.742098\pi\) | |||||||
\(80\) | −2.03890 | + | 0.918089i | −0.227956 | + | 0.102645i | ||||
\(81\) | −7.44233 | − | 5.06080i | −0.826926 | − | 0.562311i | ||||
\(82\) | 8.14171 | − | 8.14171i | 0.899102 | − | 0.899102i | ||||
\(83\) | 0.313326 | + | 5.97862i | 0.0343920 | + | 0.656239i | 0.960381 | + | 0.278689i | \(0.0898999\pi\) |
−0.925989 | + | 0.377550i | \(0.876767\pi\) | |||||||
\(84\) | −2.62232 | + | 5.24719i | −0.286119 | + | 0.572515i | ||||
\(85\) | 4.45322 | − | 0.252201i | 0.483019 | − | 0.0273551i | ||||
\(86\) | 2.65415 | − | 0.278963i | 0.286205 | − | 0.0300813i | ||||
\(87\) | 0.291142 | − | 0.328453i | 0.0312137 | − | 0.0352138i | ||||
\(88\) | 1.49096 | − | 1.20736i | 0.158937 | − | 0.128705i | ||||
\(89\) | 6.04546 | − | 4.39228i | 0.640817 | − | 0.465581i | −0.219314 | − | 0.975654i | \(-0.570382\pi\) |
0.860131 | + | 0.510073i | \(0.170382\pi\) | |||||||
\(90\) | 3.76413 | + | 5.55260i | 0.396774 | + | 0.585295i | ||||
\(91\) | 2.50832 | + | 1.82240i | 0.262943 | + | 0.191040i | ||||
\(92\) | 8.03855 | − | 0.421283i | 0.838077 | − | 0.0439218i | ||||
\(93\) | −6.50745 | + | 2.95822i | −0.674791 | + | 0.306753i | ||||
\(94\) | 2.47851 | − | 11.6605i | 0.255639 | − | 1.20268i | ||||
\(95\) | −2.30979 | − | 2.06219i | −0.236980 | − | 0.211576i | ||||
\(96\) | −1.07950 | + | 1.35450i | −0.110176 | + | 0.138243i | ||||
\(97\) | −3.31649 | + | 5.10694i | −0.336738 | + | 0.518531i | −0.965959 | − | 0.258695i | \(-0.916707\pi\) |
0.629221 | + | 0.777227i | \(0.283374\pi\) | |||||||
\(98\) | 0.699237 | − | 4.41481i | 0.0706336 | − | 0.445963i | ||||
\(99\) | −4.33664 | − | 3.78414i | −0.435848 | − | 0.380321i | ||||
\(100\) | −1.08073 | − | 4.88180i | −0.108073 | − | 0.488180i | ||||
\(101\) | 13.3120 | − | 7.68566i | 1.32459 | − | 0.764752i | 0.340132 | − | 0.940378i | \(-0.389528\pi\) |
0.984457 | + | 0.175626i | \(0.0561949\pi\) | |||||||
\(102\) | 2.97856 | − | 1.75073i | 0.294921 | − | 0.173348i | ||||
\(103\) | −0.0663970 | + | 1.26693i | −0.00654229 | + | 0.124834i | 0.993406 | + | 0.114651i | \(0.0365749\pi\) |
−0.999948 | + | 0.0101836i | \(0.996758\pi\) | |||||||
\(104\) | 0.612572 | + | 0.680331i | 0.0600677 | + | 0.0667119i | ||||
\(105\) | −10.2919 | − | 8.13171i | −1.00439 | − | 0.793573i | ||||
\(106\) | −7.86377 | + | 8.73360i | −0.763797 | + | 0.848282i | ||||
\(107\) | 13.6775 | + | 13.6775i | 1.32225 | + | 1.32225i | 0.911951 | + | 0.410298i | \(0.134575\pi\) |
0.410298 | + | 0.911951i | \(0.365425\pi\) | |||||||
\(108\) | 4.55945 | + | 2.49228i | 0.438733 | + | 0.239820i | ||||
\(109\) | −8.52544 | + | 11.7343i | −0.816589 | + | 1.12394i | 0.173684 | + | 0.984801i | \(0.444433\pi\) |
−0.990273 | + | 0.139137i | \(0.955567\pi\) | |||||||
\(110\) | 1.96367 | + | 3.81411i | 0.187229 | + | 0.363661i | ||||
\(111\) | 3.66923 | − | 3.72681i | 0.348268 | − | 0.353733i | ||||
\(112\) | 1.21369 | − | 3.16177i | 0.114683 | − | 0.298759i | ||||
\(113\) | 2.54226 | − | 6.62281i | 0.239155 | − | 0.623021i | −0.760498 | − | 0.649340i | \(-0.775045\pi\) |
0.999654 | + | 0.0263189i | \(0.00837853\pi\) | |||||||
\(114\) | −2.32151 | − | 0.602716i | −0.217429 | − | 0.0564495i | ||||
\(115\) | −2.74080 | + | 17.7895i | −0.255581 | + | 1.65888i | ||||
\(116\) | −0.148949 | + | 0.205010i | −0.0138296 | + | 0.0190347i | ||||
\(117\) | 1.69494 | − | 2.16102i | 0.156697 | − | 0.199787i | ||||
\(118\) | 2.30039 | + | 2.30039i | 0.211768 | + | 0.211768i | ||||
\(119\) | −4.52037 | + | 5.02038i | −0.414381 | + | 0.460217i | ||||
\(120\) | −2.47328 | − | 2.98041i | −0.225779 | − | 0.272073i | ||||
\(121\) | 4.89758 | + | 5.43931i | 0.445235 | + | 0.494483i | ||||
\(122\) | 0.418235 | − | 7.98040i | 0.0378652 | − | 0.722512i | ||||
\(123\) | 17.3483 | + | 9.83676i | 1.56424 | + | 0.886951i | ||||
\(124\) | 3.57414 | − | 2.06353i | 0.320967 | − | 0.185311i | ||||
\(125\) | 11.1794 | − | 0.141310i | 0.999920 | − | 0.0126392i | ||||
\(126\) | −9.96981 | − | 1.95743i | −0.888181 | − | 0.174381i | ||||
\(127\) | 1.17058 | − | 7.39073i | 0.103872 | − | 0.655822i | −0.879731 | − | 0.475472i | \(-0.842277\pi\) |
0.983603 | − | 0.180349i | \(-0.0577228\pi\) | |||||||
\(128\) | 0.544639 | − | 0.838671i | 0.0481397 | − | 0.0741287i | ||||
\(129\) | 1.69008 | + | 4.30240i | 0.148803 | + | 0.378805i | ||||
\(130\) | −1.76848 | + | 1.03099i | −0.155106 | + | 0.0904240i | ||||
\(131\) | −3.26630 | + | 15.3667i | −0.285378 | + | 1.34260i | 0.568740 | + | 0.822518i | \(0.307431\pi\) |
−0.854118 | + | 0.520080i | \(0.825902\pi\) | |||||||
\(132\) | 2.70345 | + | 1.93220i | 0.235305 | + | 0.168176i | ||||
\(133\) | 4.68336 | − | 0.245444i | 0.406098 | − | 0.0212827i | ||||
\(134\) | −4.30659 | − | 3.12892i | −0.372033 | − | 0.270297i | ||||
\(135\) | −7.53363 | + | 8.84559i | −0.648392 | + | 0.761307i | ||||
\(136\) | −1.61377 | + | 1.17247i | −0.138380 | + | 0.100539i | ||||
\(137\) | −9.31246 | + | 7.54108i | −0.795617 | + | 0.644278i | −0.938429 | − | 0.345472i | \(-0.887719\pi\) |
0.142812 | + | 0.989750i | \(0.454386\pi\) | |||||||
\(138\) | 4.41150 | + | 13.2260i | 0.375532 | + | 1.12587i | ||||
\(139\) | 18.6362 | − | 1.95875i | 1.58070 | − | 0.166139i | 0.726904 | − | 0.686739i | \(-0.240958\pi\) |
0.853801 | + | 0.520600i | \(0.174292\pi\) | |||||||
\(140\) | 6.36851 | + | 4.09772i | 0.538237 | + | 0.346320i | ||||
\(141\) | 20.6104 | − | 1.24111i | 1.73571 | − | 0.104520i | ||||
\(142\) | −0.0563412 | − | 1.07506i | −0.00472805 | − | 0.0902166i | ||||
\(143\) | 1.24193 | − | 1.24193i | 0.103855 | − | 0.103855i | ||||
\(144\) | −2.75930 | − | 1.17739i | −0.229942 | − | 0.0981160i | ||||
\(145\) | −0.380924 | − | 0.419491i | −0.0316340 | − | 0.0348368i | ||||
\(146\) | 1.24679 | + | 5.86567i | 0.103185 | + | 0.485446i | ||||
\(147\) | 7.69305 | − | 0.869175i | 0.634512 | − | 0.0716884i | ||||
\(148\) | −1.90024 | + | 2.34660i | −0.156199 | + | 0.192889i | ||||
\(149\) | −3.47985 | + | 6.02727i | −0.285080 | + | 0.493774i | −0.972629 | − | 0.232365i | \(-0.925354\pi\) |
0.687548 | + | 0.726139i | \(0.258687\pi\) | |||||||
\(150\) | 7.65159 | − | 4.05624i | 0.624750 | − | 0.331191i | ||||
\(151\) | 8.51547 | + | 14.7492i | 0.692979 | + | 1.20028i | 0.970857 | + | 0.239659i | \(0.0770356\pi\) |
−0.277878 | + | 0.960616i | \(0.589631\pi\) | |||||||
\(152\) | 1.36771 | + | 0.216624i | 0.110936 | + | 0.0175705i | ||||
\(153\) | 4.29683 | + | 4.16507i | 0.347378 | + | 0.336726i | ||||
\(154\) | −6.17944 | − | 2.00782i | −0.497954 | − | 0.161795i | ||||
\(155\) | 2.88868 | + | 8.76463i | 0.232025 | + | 0.703992i | ||||
\(156\) | −0.853228 | + | 1.33652i | −0.0683129 | + | 0.107007i | ||||
\(157\) | −5.47690 | − | 20.4401i | −0.437104 | − | 1.63130i | −0.735980 | − | 0.677004i | \(-0.763278\pi\) |
0.298875 | − | 0.954292i | \(-0.403389\pi\) | |||||||
\(158\) | 8.42763 | − | 5.47296i | 0.670466 | − | 0.435406i | ||||
\(159\) | −18.2082 | − | 9.09970i | −1.44401 | − | 0.721653i | ||||
\(160\) | 1.58779 | + | 1.57446i | 0.125526 | + | 0.124472i | ||||
\(161\) | −16.0240 | − | 22.0551i | −1.26287 | − | 1.73819i | ||||
\(162\) | −2.05757 | + | 8.76164i | −0.161658 | + | 0.688380i | ||||
\(163\) | −2.08123 | − | 13.1404i | −0.163014 | − | 1.02923i | −0.924537 | − | 0.381093i | \(-0.875548\pi\) |
0.761522 | − | 0.648139i | \(-0.224452\pi\) | |||||||
\(164\) | −10.5187 | − | 4.68321i | −0.821370 | − | 0.365698i | ||||
\(165\) | −5.46178 | + | 5.03777i | −0.425199 | + | 0.392190i | ||||
\(166\) | 5.46923 | − | 2.43506i | 0.424495 | − | 0.188997i | ||||
\(167\) | −7.52737 | − | 11.5911i | −0.582486 | − | 0.896949i | 0.417445 | − | 0.908702i | \(-0.362925\pi\) |
−0.999931 | + | 0.0117530i | \(0.996259\pi\) | |||||||
\(168\) | 5.83843 | + | 0.567725i | 0.450444 | + | 0.0438010i | ||||
\(169\) | −9.03806 | − | 8.13790i | −0.695235 | − | 0.625993i | ||||
\(170\) | −1.83134 | − | 4.06706i | −0.140457 | − | 0.311929i | ||||
\(171\) | −0.0646799 | − | 4.15377i | −0.00494619 | − | 0.317647i | ||||
\(172\) | −1.21160 | − | 2.37789i | −0.0923834 | − | 0.181313i | ||||
\(173\) | −8.87442 | + | 3.40657i | −0.674709 | + | 0.258997i | −0.671507 | − | 0.740998i | \(-0.734353\pi\) |
−0.00320244 | + | 0.999995i | \(0.501019\pi\) | |||||||
\(174\) | −0.410973 | − | 0.154098i | −0.0311558 | − | 0.0116821i | ||||
\(175\) | −11.8725 | + | 12.0743i | −0.897479 | + | 0.912733i | ||||
\(176\) | −1.66148 | − | 0.959255i | −0.125239 | − | 0.0723066i | ||||
\(177\) | −2.77932 | + | 4.90166i | −0.208907 | + | 0.368431i | ||||
\(178\) | −6.26705 | − | 4.06987i | −0.469735 | − | 0.305050i | ||||
\(179\) | −7.77625 | + | 23.9328i | −0.581224 | + | 1.78882i | 0.0327068 | + | 0.999465i | \(0.489587\pi\) |
−0.613931 | + | 0.789360i | \(0.710413\pi\) | |||||||
\(180\) | 3.83485 | − | 5.50399i | 0.285833 | − | 0.410243i | ||||
\(181\) | −0.0705627 | − | 0.217170i | −0.00524488 | − | 0.0161421i | 0.948400 | − | 0.317077i | \(-0.102701\pi\) |
−0.953645 | + | 0.300935i | \(0.902701\pi\) | |||||||
\(182\) | 0.802457 | − | 2.99481i | 0.0594820 | − | 0.221990i | ||||
\(183\) | 13.5162 | − | 2.98311i | 0.999143 | − | 0.220518i | ||||
\(184\) | −3.27406 | − | 7.35366i | −0.241367 | − | 0.542119i | ||||
\(185\) | −4.27113 | − | 5.22921i | −0.314020 | − | 0.384459i | ||||
\(186\) | 5.09380 | + | 5.01510i | 0.373495 | + | 0.367725i | ||||
\(187\) | 2.40835 | + | 2.97407i | 0.176116 | + | 0.217485i | ||||
\(188\) | −11.7742 | + | 1.86485i | −0.858721 | + | 0.136008i | ||||
\(189\) | −1.33115 | − | 17.5475i | −0.0968271 | − | 1.27639i | ||||
\(190\) | −1.09747 | + | 2.89540i | −0.0796186 | + | 0.210054i | ||||
\(191\) | −26.5575 | − | 2.79131i | −1.92163 | − | 0.201972i | −0.933835 | − | 0.357705i | \(-0.883559\pi\) |
−0.987799 | + | 0.155733i | \(0.950226\pi\) | |||||||
\(192\) | 1.65140 | + | 0.522393i | 0.119179 | + | 0.0377005i | ||||
\(193\) | −1.64153 | + | 0.439847i | −0.118160 | + | 0.0316609i | −0.317415 | − | 0.948287i | \(-0.602815\pi\) |
0.199254 | + | 0.979948i | \(0.436148\pi\) | |||||||
\(194\) | 5.95626 | + | 1.26604i | 0.427635 | + | 0.0908966i | ||||
\(195\) | −2.53703 | − | 2.47687i | −0.181681 | − | 0.177372i | ||||
\(196\) | −4.37217 | + | 0.929332i | −0.312298 | + | 0.0663809i | ||||
\(197\) | −13.4497 | + | 6.85297i | −0.958252 | + | 0.488254i | −0.861892 | − | 0.507092i | \(-0.830720\pi\) |
−0.0963608 | + | 0.995346i | \(0.530720\pi\) | |||||||
\(198\) | −1.97869 | + | 5.40471i | −0.140619 | + | 0.384096i | ||||
\(199\) | − | 8.08025i | − | 0.572794i | −0.958111 | − | 0.286397i | \(-0.907542\pi\) | ||
0.958111 | − | 0.286397i | \(-0.0924576\pi\) | |||||||
\(200\) | −4.17026 | + | 2.75843i | −0.294882 | + | 0.195051i | ||||
\(201\) | 3.23708 | − | 8.63318i | 0.228326 | − | 0.608938i | ||||
\(202\) | −11.9458 | − | 9.67349i | −0.840501 | − | 0.680624i | ||||
\(203\) | 0.857041 | + | 0.0449156i | 0.0601525 | + | 0.00315246i | ||||
\(204\) | −2.70186 | − | 2.15332i | −0.189168 | − | 0.150762i | ||||
\(205\) | 15.0454 | − | 20.8928i | 1.05082 | − | 1.45922i | ||||
\(206\) | 1.20658 | − | 0.392040i | 0.0840661 | − | 0.0273147i | ||||
\(207\) | −20.0456 | + | 13.4661i | −1.39327 | + | 0.935958i | ||||
\(208\) | 0.415617 | − | 0.815694i | 0.0288179 | − | 0.0565582i | ||||
\(209\) | 0.277698 | − | 2.64212i | 0.0192088 | − | 0.182759i | ||||
\(210\) | −3.90332 | + | 12.5224i | −0.269355 | + | 0.864131i | ||||
\(211\) | 0.280476 | + | 2.66855i | 0.0193088 | + | 0.183711i | 0.999925 | − | 0.0122262i | \(-0.00389182\pi\) |
−0.980616 | + | 0.195937i | \(0.937225\pi\) | |||||||
\(212\) | 10.9716 | + | 4.21162i | 0.753535 | + | 0.289255i | ||||
\(213\) | 1.76881 | − | 0.589983i | 0.121197 | − | 0.0404250i | ||||
\(214\) | 7.86744 | − | 17.6706i | 0.537807 | − | 1.20794i | ||||
\(215\) | 5.75766 | − | 1.56879i | 0.392669 | − | 0.106990i | ||||
\(216\) | 0.692784 | − | 5.14976i | 0.0471380 | − | 0.350397i | ||||
\(217\) | −12.4538 | − | 6.34551i | −0.845417 | − | 0.430761i | ||||
\(218\) | 14.0101 | + | 3.75400i | 0.948885 | + | 0.254253i | ||||
\(219\) | −9.21754 | + | 4.78732i | −0.622864 | + | 0.323497i | ||||
\(220\) | 2.85706 | − | 3.20010i | 0.192623 | − | 0.215750i | ||||
\(221\) | −1.35708 | + | 1.22192i | −0.0912868 | + | 0.0821950i | ||||
\(222\) | −4.79421 | − | 2.08995i | −0.321766 | − | 0.140268i | ||||
\(223\) | −5.21444 | − | 13.5841i | −0.349185 | − | 0.909657i | −0.989886 | − | 0.141867i | \(-0.954689\pi\) |
0.640701 | − | 0.767791i | \(-0.278644\pi\) | |||||||
\(224\) | −3.38672 | −0.226284 | ||||||||
\(225\) | 10.3015 | + | 10.9031i | 0.686769 | + | 0.726876i | ||||
\(226\) | −7.09399 | −0.471885 | ||||||||
\(227\) | −1.93839 | − | 5.04969i | −0.128656 | − | 0.335160i | 0.854089 | − | 0.520127i | \(-0.174115\pi\) |
−0.982745 | + | 0.184967i | \(0.940782\pi\) | |||||||
\(228\) | 0.269271 | + | 2.38331i | 0.0178329 | + | 0.157838i | ||||
\(229\) | 14.8901 | − | 13.4071i | 0.983966 | − | 0.885967i | −0.00951622 | − | 0.999955i | \(-0.503029\pi\) |
0.993482 | + | 0.113988i | \(0.0363625\pi\) | |||||||
\(230\) | 17.5902 | − | 3.81643i | 1.15986 | − | 0.251648i | ||||
\(231\) | 0.501475 | − | 11.2427i | 0.0329946 | − | 0.739717i | ||||
\(232\) | 0.244772 | + | 0.0655865i | 0.0160701 | + | 0.00430597i | ||||
\(233\) | 12.5320 | + | 6.38537i | 0.820998 | + | 0.418319i | 0.813438 | − | 0.581652i | \(-0.197593\pi\) |
0.00756033 | + | 0.999971i | \(0.497593\pi\) | |||||||
\(234\) | −2.62490 | − | 0.807922i | −0.171595 | − | 0.0528155i | ||||
\(235\) | 1.28291 | − | 26.6252i | 0.0836876 | − | 1.73684i | ||||
\(236\) | 1.32322 | − | 2.97199i | 0.0861340 | − | 0.193460i | ||||
\(237\) | 13.0247 | + | 11.5452i | 0.846047 | + | 0.749940i | ||||
\(238\) | 6.30688 | + | 2.42098i | 0.408814 | + | 0.156929i | ||||
\(239\) | 0.160831 | + | 1.53021i | 0.0104033 | + | 0.0989810i | 0.998491 | − | 0.0549085i | \(-0.0174867\pi\) |
−0.988088 | + | 0.153889i | \(0.950820\pi\) | |||||||
\(240\) | −1.89611 | + | 3.37709i | −0.122393 | + | 0.217991i | ||||
\(241\) | 1.50833 | − | 14.3508i | 0.0971603 | − | 0.924419i | −0.832009 | − | 0.554763i | \(-0.812809\pi\) |
0.929169 | − | 0.369656i | \(-0.120524\pi\) | |||||||
\(242\) | 3.32290 | − | 6.52156i | 0.213604 | − | 0.419222i | ||||
\(243\) | −15.5766 | + | 0.606632i | −0.999243 | + | 0.0389154i | ||||
\(244\) | −7.60023 | + | 2.46946i | −0.486555 | + | 0.158091i | ||||
\(245\) | −0.0421100 | − | 9.99478i | −0.00269031 | − | 0.638543i | ||||
\(246\) | 2.96634 | − | 19.7212i | 0.189127 | − | 1.25738i | ||||
\(247\) | 1.26597 | + | 0.0663469i | 0.0805520 | + | 0.00422155i | ||||
\(248\) | −3.20733 | − | 2.59725i | −0.203666 | − | 0.164925i | ||||
\(249\) | 6.58826 | + | 8.00755i | 0.417514 | + | 0.507458i | ||||
\(250\) | −4.13828 | − | 10.3863i | −0.261728 | − | 0.656885i | ||||
\(251\) | 19.5801i | 1.23588i | 0.786224 | + | 0.617941i | \(0.212033\pi\) | ||||
−0.786224 | + | 0.617941i | \(0.787967\pi\) | |||||||
\(252\) | 1.74545 | + | 10.0091i | 0.109953 | + | 0.630514i | ||||
\(253\) | −13.7600 | + | 7.01107i | −0.865084 | + | 0.440782i | ||||
\(254\) | −7.31934 | + | 1.55577i | −0.459256 | + | 0.0976180i | ||||
\(255\) | 5.94512 | − | 4.93354i | 0.372298 | − | 0.308950i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | −12.3861 | + | 3.31884i | −0.772623 | + | 0.207024i | −0.623530 | − | 0.781800i | \(-0.714302\pi\) |
−0.149093 | + | 0.988823i | \(0.547635\pi\) | |||||||
\(258\) | 3.41096 | − | 3.11967i | 0.212357 | − | 0.194222i | ||||
\(259\) | 10.1702 | + | 1.06893i | 0.631945 | + | 0.0664201i | ||||
\(260\) | 1.59628 | + | 1.28155i | 0.0989972 | + | 0.0794781i | ||||
\(261\) | 0.0676837 | − | 0.757202i | 0.00418951 | − | 0.0468696i | ||||
\(262\) | 15.5166 | − | 2.45759i | 0.958620 | − | 0.151830i | ||||
\(263\) | −6.49394 | − | 8.01935i | −0.400434 | − | 0.494494i | 0.536550 | − | 0.843869i | \(-0.319727\pi\) |
−0.936983 | + | 0.349375i | \(0.886394\pi\) | |||||||
\(264\) | 0.835031 | − | 3.21633i | 0.0513926 | − | 0.197951i | ||||
\(265\) | −14.2195 | + | 22.0993i | −0.873494 | + | 1.35755i | ||||
\(266\) | −1.90751 | − | 4.28433i | −0.116957 | − | 0.262689i | ||||
\(267\) | 3.90363 | − | 12.3402i | 0.238898 | − | 0.755209i | ||||
\(268\) | −1.37775 | + | 5.14185i | −0.0841598 | + | 0.314089i | ||||
\(269\) | −5.08263 | − | 15.6427i | −0.309894 | − | 0.953754i | −0.977806 | − | 0.209514i | \(-0.932812\pi\) |
0.667912 | − | 0.744240i | \(-0.267188\pi\) | |||||||
\(270\) | 10.9579 | + | 3.86328i | 0.666875 | + | 0.235111i | ||||
\(271\) | −5.92734 | + | 18.2425i | −0.360061 | + | 1.10815i | 0.592956 | + | 0.805235i | \(0.297961\pi\) |
−0.953017 | + | 0.302918i | \(0.902039\pi\) | |||||||
\(272\) | 1.67292 | + | 1.08641i | 0.101436 | + | 0.0658732i | ||||
\(273\) | 5.36998 | − | 0.0418064i | 0.325006 | − | 0.00253024i | ||||
\(274\) | 10.3775 | + | 5.99145i | 0.626927 | + | 0.361957i | ||||
\(275\) | 5.70355 | + | 7.71275i | 0.343937 | + | 0.465096i | ||||
\(276\) | 10.7666 | − | 8.85825i | 0.648071 | − | 0.533204i | ||||
\(277\) | −5.18478 | + | 1.99025i | −0.311523 | + | 0.119582i | −0.509106 | − | 0.860704i | \(-0.670024\pi\) |
0.197583 | + | 0.980286i | \(0.436691\pi\) | |||||||
\(278\) | −8.50728 | − | 16.6965i | −0.510233 | − | 1.00139i | ||||
\(279\) | −6.02290 | + | 10.8175i | −0.360582 | + | 0.647627i | ||||
\(280\) | 1.54328 | − | 7.41401i | 0.0922285 | − | 0.443072i | ||||
\(281\) | 5.21494 | + | 4.69555i | 0.311097 | + | 0.280113i | 0.809857 | − | 0.586627i | \(-0.199544\pi\) |
−0.498760 | + | 0.866740i | \(0.666211\pi\) | |||||||
\(282\) | −8.54477 | − | 18.7967i | −0.508834 | − | 1.11933i | ||||
\(283\) | −5.34011 | − | 8.22305i | −0.317437 | − | 0.488810i | 0.643550 | − | 0.765404i | \(-0.277461\pi\) |
−0.960987 | + | 0.276594i | \(0.910794\pi\) | |||||||
\(284\) | −0.983459 | + | 0.437864i | −0.0583576 | + | 0.0259825i | ||||
\(285\) | −5.34011 | − | 0.496567i | −0.316321 | − | 0.0294141i | ||||
\(286\) | −1.60450 | − | 0.714371i | −0.0948763 | − | 0.0422417i | ||||
\(287\) | 6.10017 | + | 38.5150i | 0.360082 | + | 2.27347i | ||||
\(288\) | −0.110344 | + | 2.99797i | −0.00650211 | + | 0.176657i | ||||
\(289\) | 7.65358 | + | 10.5343i | 0.450211 | + | 0.619662i | ||||
\(290\) | −0.255118 | + | 0.505955i | −0.0149810 | + | 0.0297107i | ||||
\(291\) | 0.633968 | + | 10.5280i | 0.0371639 | + | 0.617160i | ||||
\(292\) | 5.02926 | − | 3.26604i | 0.294315 | − | 0.191131i | ||||
\(293\) | −7.05453 | − | 26.3279i | −0.412130 | − | 1.53809i | −0.790516 | − | 0.612442i | \(-0.790187\pi\) |
0.378386 | − | 0.925648i | \(-0.376479\pi\) | |||||||
\(294\) | −3.56839 | − | 6.87060i | −0.208113 | − | 0.400701i | ||||
\(295\) | 5.90314 | + | 4.25100i | 0.343694 | + | 0.247503i | ||||
\(296\) | 2.87172 | + | 0.933080i | 0.166916 | + | 0.0542342i | ||||
\(297\) | −9.93589 | − | 0.810219i | −0.576539 | − | 0.0470137i | ||||
\(298\) | 6.87401 | + | 1.08874i | 0.398201 | + | 0.0630688i | ||||
\(299\) | −3.68460 | − | 6.38191i | −0.213086 | − | 0.369075i | ||||
\(300\) | −6.52892 | − | 5.68975i | −0.376947 | − | 0.328498i | ||||
\(301\) | −4.51918 | + | 7.82746i | −0.260481 | + | 0.451167i | ||||
\(302\) | 10.7179 | − | 13.2355i | 0.616747 | − | 0.761619i | ||||
\(303\) | 10.6392 | − | 24.4057i | 0.611209 | − | 1.40207i | ||||
\(304\) | −0.287907 | − | 1.35450i | −0.0165126 | − | 0.0776858i | ||||
\(305\) | −1.94270 | − | 17.7633i | −0.111239 | − | 1.01712i | ||||
\(306\) | 2.34858 | − | 5.50406i | 0.134259 | − | 0.314646i | ||||
\(307\) | −13.9563 | + | 13.9563i | −0.796526 | + | 0.796526i | −0.982546 | − | 0.186020i | \(-0.940441\pi\) |
0.186020 | + | 0.982546i | \(0.440441\pi\) | |||||||
\(308\) | 0.340050 | + | 6.48854i | 0.0193762 | + | 0.369719i | ||||
\(309\) | 1.21110 | + | 1.83352i | 0.0688971 | + | 0.104305i | ||||
\(310\) | 7.14728 | − | 5.83778i | 0.405938 | − | 0.331564i | ||||
\(311\) | −25.3934 | + | 2.66896i | −1.43993 | + | 0.151343i | −0.792076 | − | 0.610422i | \(-0.791000\pi\) |
−0.647854 | + | 0.761765i | \(0.724333\pi\) | |||||||
\(312\) | 1.55352 | + | 0.317591i | 0.0879507 | + | 0.0179800i | ||||
\(313\) | 1.90891 | − | 1.54581i | 0.107898 | − | 0.0873741i | −0.573853 | − | 0.818958i | \(-0.694552\pi\) |
0.681751 | + | 0.731584i | \(0.261219\pi\) | |||||||
\(314\) | −17.1197 | + | 12.4382i | −0.966121 | + | 0.701928i | ||||
\(315\) | −22.7067 | − | 0.739970i | −1.27938 | − | 0.0416926i | ||||
\(316\) | −8.12964 | − | 5.90653i | −0.457328 | − | 0.332268i | ||||
\(317\) | 9.59395 | − | 0.502798i | 0.538850 | − | 0.0282399i | 0.219030 | − | 0.975718i | \(-0.429711\pi\) |
0.319820 | + | 0.947478i | \(0.396377\pi\) | |||||||
\(318\) | −1.97006 | + | 20.2599i | −0.110475 | + | 1.13612i | ||||
\(319\) | 0.101079 | − | 0.475540i | 0.00565934 | − | 0.0266251i | ||||
\(320\) | 0.900876 | − | 2.04656i | 0.0503605 | − | 0.114406i | ||||
\(321\) | 33.1301 | + | 4.98322i | 1.84914 | + | 0.278136i | ||||
\(322\) | −14.8478 | + | 22.8635i | −0.827433 | + | 1.27414i | ||||
\(323\) | −0.432106 | + | 2.72821i | −0.0240430 | + | 0.151802i | ||||
\(324\) | 8.91707 | − | 1.21898i | 0.495393 | − | 0.0677212i | ||||
\(325\) | −3.53289 | + | 2.91051i | −0.195969 | + | 0.161446i | ||||
\(326\) | −11.5217 | + | 6.65208i | −0.638130 | + | 0.368425i | ||||
\(327\) | 0.195576 | + | 25.1215i | 0.0108154 | + | 1.38922i | ||||
\(328\) | −0.602602 | + | 11.4983i | −0.0332732 | + | 0.634890i | ||||
\(329\) | 27.0147 | + | 30.0029i | 1.48937 | + | 1.65411i | ||||
\(330\) | 6.66049 | + | 3.29364i | 0.366648 | + | 0.181309i | ||||
\(331\) | 19.5414 | − | 21.7030i | 1.07409 | − | 1.19290i | 0.0937521 | − | 0.995596i | \(-0.470114\pi\) |
0.980342 | − | 0.197307i | \(-0.0632195\pi\) | |||||||
\(332\) | −4.23332 | − | 4.23332i | −0.232334 | − | 0.232334i | ||||
\(333\) | 1.27759 | − | 8.96798i | 0.0700117 | − | 0.491442i | ||||
\(334\) | −8.12369 | + | 11.1813i | −0.444508 | + | 0.611813i | ||||
\(335\) | −10.6284 | − | 5.35917i | −0.580693 | − | 0.292803i | ||||
\(336\) | −1.56229 | − | 5.65409i | −0.0852298 | − | 0.308456i | ||||
\(337\) | 11.3574 | − | 29.5871i | 0.618678 | − | 1.61171i | −0.162010 | − | 0.986789i | \(-0.551798\pi\) |
0.780688 | − | 0.624921i | \(-0.214869\pi\) | |||||||
\(338\) | −4.35844 | + | 11.3541i | −0.237068 | + | 0.617583i | ||||
\(339\) | −3.27245 | − | 11.8434i | −0.177735 | − | 0.643243i | ||||
\(340\) | −3.14063 | + | 3.16721i | −0.170325 | + | 0.171766i | ||||
\(341\) | −4.65397 | + | 6.40565i | −0.252027 | + | 0.346885i | ||||
\(342\) | −3.85470 | + | 1.54896i | −0.208438 | + | 0.0837583i | ||||
\(343\) | −6.05915 | − | 6.05915i | −0.327163 | − | 0.327163i | ||||
\(344\) | −1.78576 | + | 1.98328i | −0.0962815 | + | 0.106931i | ||||
\(345\) | 14.4858 | + | 27.6061i | 0.779891 | + | 1.48626i | ||||
\(346\) | 6.36061 | + | 7.06418i | 0.341949 | + | 0.379773i | ||||
\(347\) | −1.48215 | + | 28.2812i | −0.0795661 | + | 1.51821i | 0.609077 | + | 0.793111i | \(0.291540\pi\) |
−0.688643 | + | 0.725101i | \(0.741793\pi\) | |||||||
\(348\) | 0.00341693 | + | 0.438900i | 0.000183167 | + | 0.0235275i | ||||
\(349\) | −6.08994 | + | 3.51603i | −0.325987 | + | 0.188209i | −0.654058 | − | 0.756444i | \(-0.726935\pi\) |
0.328071 | + | 0.944653i | \(0.393601\pi\) | |||||||
\(350\) | 15.5271 | + | 6.75691i | 0.829957 | + | 0.361172i | ||||
\(351\) | 0.137955 | − | 4.75495i | 0.00736347 | − | 0.253800i | ||||
\(352\) | −0.300121 | + | 1.89489i | −0.0159965 | + | 0.100998i | ||||
\(353\) | 6.56368 | − | 10.1072i | 0.349349 | − | 0.537951i | −0.619693 | − | 0.784844i | \(-0.712743\pi\) |
0.969043 | + | 0.246893i | \(0.0794097\pi\) | |||||||
\(354\) | 5.57211 | + | 0.838122i | 0.296154 | + | 0.0445457i | ||||
\(355\) | −0.510400 | − | 2.35246i | −0.0270892 | − | 0.124856i | ||||
\(356\) | −1.55364 | + | 7.30930i | −0.0823428 | + | 0.387392i | ||||
\(357\) | −1.13246 | + | 11.6461i | −0.0599361 | + | 0.616376i | ||||
\(358\) | 25.1300 | − | 1.31701i | 1.32816 | − | 0.0696060i | ||||
\(359\) | −5.19611 | − | 3.77520i | −0.274240 | − | 0.199247i | 0.442161 | − | 0.896936i | \(-0.354212\pi\) |
−0.716401 | + | 0.697688i | \(0.754212\pi\) | |||||||
\(360\) | −6.51271 | − | 1.60769i | −0.343250 | − | 0.0847328i | ||||
\(361\) | −13.8200 | + | 10.0408i | −0.727368 | + | 0.528464i | ||||
\(362\) | −0.177458 | + | 0.143703i | −0.00932698 | + | 0.00755284i | ||||
\(363\) | 12.4205 | + | 2.53917i | 0.651909 | + | 0.133272i | ||||
\(364\) | −3.08347 | + | 0.324086i | −0.161618 | + | 0.0169867i | ||||
\(365\) | 4.85807 | + | 12.4981i | 0.254283 | + | 0.654179i | ||||
\(366\) | −7.62873 | − | 11.5494i | −0.398760 | − | 0.603695i | ||||
\(367\) | −0.233053 | − | 4.44692i | −0.0121653 | − | 0.232127i | −0.997945 | − | 0.0640825i | \(-0.979588\pi\) |
0.985779 | − | 0.168045i | \(-0.0537454\pi\) | |||||||
\(368\) | −5.69192 | + | 5.69192i | −0.296712 | + | 0.296712i | ||||
\(369\) | 34.2928 | − | 4.14508i | 1.78521 | − | 0.215784i | ||||
\(370\) | −3.35125 | + | 5.86143i | −0.174223 | + | 0.304721i | ||||
\(371\) | −8.27518 | − | 38.9317i | −0.429626 | − | 2.02123i | ||||
\(372\) | 2.85654 | − | 6.55272i | 0.148105 | − | 0.339743i | ||||
\(373\) | −11.5595 | + | 14.2748i | −0.598527 | + | 0.739119i | −0.982917 | − | 0.184052i | \(-0.941079\pi\) |
0.384390 | + | 0.923171i | \(0.374412\pi\) | |||||||
\(374\) | 1.91346 | − | 3.31420i | 0.0989424 | − | 0.171373i | ||||
\(375\) | 15.4308 | − | 11.7000i | 0.796844 | − | 0.604185i | ||||
\(376\) | 5.96048 | + | 10.3239i | 0.307388 | + | 0.532412i | ||||
\(377\) | 0.229132 | + | 0.0362909i | 0.0118009 | + | 0.00186908i | ||||
\(378\) | −15.9049 | + | 7.53119i | −0.818062 | + | 0.387363i | ||||
\(379\) | 34.7413 | + | 11.2881i | 1.78454 | + | 0.579832i | 0.999229 | − | 0.0392683i | \(-0.0125027\pi\) |
0.785312 | + | 0.619101i | \(0.212503\pi\) | |||||||
\(380\) | 3.09639 | − | 0.0130457i | 0.158841 | − | 0.000669230i | ||||
\(381\) | −5.97376 | − | 11.5019i | −0.306045 | − | 0.589261i | ||||
\(382\) | 6.91145 | + | 25.7939i | 0.353621 | + | 1.31973i | ||||
\(383\) | −22.7618 | + | 14.7817i | −1.16307 | + | 0.755309i | −0.973976 | − | 0.226649i | \(-0.927223\pi\) |
−0.189098 | + | 0.981958i | \(0.560556\pi\) | |||||||
\(384\) | −0.104111 | − | 1.72892i | −0.00531291 | − | 0.0882285i | ||||
\(385\) | −14.3593 | − | 2.21232i | −0.731818 | − | 0.112750i | ||||
\(386\) | 0.998906 | + | 1.37488i | 0.0508430 | + | 0.0699793i | ||||
\(387\) | 6.78174 | + | 4.25548i | 0.344735 | + | 0.216318i | ||||
\(388\) | −0.952581 | − | 6.01436i | −0.0483600 | − | 0.305333i | ||||
\(389\) | −6.19913 | − | 2.76003i | −0.314308 | − | 0.139939i | 0.243519 | − | 0.969896i | \(-0.421698\pi\) |
−0.557827 | + | 0.829957i | \(0.688365\pi\) | |||||||
\(390\) | −1.40317 | + | 3.25615i | −0.0710521 | + | 0.164882i | ||||
\(391\) | 14.6686 | − | 6.53087i | 0.741822 | − | 0.330280i | ||||
\(392\) | 2.43445 | + | 3.74872i | 0.122958 | + | 0.189339i | ||||
\(393\) | 11.2607 | + | 24.7712i | 0.568028 | + | 1.24954i | ||||
\(394\) | 11.2177 | + | 10.1005i | 0.565142 | + | 0.508856i | ||||
\(395\) | 16.6348 | − | 15.1054i | 0.836988 | − | 0.760037i | ||||
\(396\) | 5.75483 | − | 0.0896106i | 0.289191 | − | 0.00450310i | ||||
\(397\) | −17.1240 | − | 33.6078i | −0.859431 | − | 1.68673i | −0.717168 | − | 0.696900i | \(-0.754562\pi\) |
−0.142263 | − | 0.989829i | \(-0.545438\pi\) | |||||||
\(398\) | −7.54357 | + | 2.89570i | −0.378125 | + | 0.145149i | ||||
\(399\) | 6.27272 | − | 5.16092i | 0.314029 | − | 0.258369i | ||||
\(400\) | 4.06971 | + | 2.90474i | 0.203485 | + | 0.145237i | ||||
\(401\) | −5.99671 | − | 3.46220i | −0.299461 | − | 0.172894i | 0.342740 | − | 0.939430i | \(-0.388645\pi\) |
−0.642201 | + | 0.766536i | \(0.721978\pi\) | |||||||
\(402\) | −9.21984 | + | 0.0717784i | −0.459844 | + | 0.00357998i | ||||
\(403\) | −3.16869 | − | 2.05777i | −0.157843 | − | 0.102505i | ||||
\(404\) | −4.75000 | + | 14.6190i | −0.236321 | + | 0.727322i | ||||
\(405\) | −1.39485 | + | 20.0762i | −0.0693108 | + | 0.997595i | ||||
\(406\) | −0.265204 | − | 0.816213i | −0.0131618 | − | 0.0405080i | ||||
\(407\) | 1.49933 | − | 5.59557i | 0.0743189 | − | 0.277362i | ||||
\(408\) | −1.04203 | + | 3.29409i | −0.0515883 | + | 0.163082i | ||||
\(409\) | −6.82393 | − | 15.3268i | −0.337421 | − | 0.757861i | −0.999961 | − | 0.00883405i | \(-0.997188\pi\) |
0.662540 | − | 0.749027i | \(-0.269479\pi\) | |||||||
\(410\) | −24.8969 | − | 6.55881i | −1.22957 | − | 0.323917i | ||||
\(411\) | −5.21555 | + | 20.0890i | −0.257264 | + | 0.990917i | ||||
\(412\) | −0.798399 | − | 0.985941i | −0.0393343 | − | 0.0485738i | ||||
\(413\) | −10.8822 | + | 1.72357i | −0.535477 | + | 0.0848112i | ||||
\(414\) | 19.7554 | + | 13.8884i | 0.970924 | + | 0.682577i | ||||
\(415\) | 11.1964 | − | 7.33829i | 0.549610 | − | 0.360222i | ||||
\(416\) | −0.910460 | − | 0.0956932i | −0.0446390 | − | 0.00469175i | ||||
\(417\) | 23.9502 | − | 21.9049i | 1.17285 | − | 1.07269i | ||||
\(418\) | −2.56615 | + | 0.687598i | −0.125514 | + | 0.0336315i | ||||
\(419\) | 0.706135 | + | 0.150094i | 0.0344969 | + | 0.00733255i | 0.225128 | − | 0.974329i | \(-0.427720\pi\) |
−0.190631 | + | 0.981662i | \(0.561053\pi\) | |||||||
\(420\) | 13.0895 | − | 0.843583i | 0.638704 | − | 0.0411626i | ||||
\(421\) | 18.2013 | − | 3.86881i | 0.887079 | − | 0.188554i | 0.258231 | − | 0.966083i | \(-0.416860\pi\) |
0.628848 | + | 0.777529i | \(0.283527\pi\) | |||||||
\(422\) | 2.39080 | − | 1.21817i | 0.116382 | − | 0.0592997i | ||||
\(423\) | 27.4392 | − | 22.9363i | 1.33414 | − | 1.11520i | ||||
\(424\) | − | 11.7522i | − | 0.570738i | ||||||
\(425\) | −5.50233 | − | 8.31854i | −0.266902 | − | 0.403508i | ||||
\(426\) | −1.18468 | − | 1.43989i | −0.0573979 | − | 0.0697630i | ||||
\(427\) | 21.0330 | + | 17.0322i | 1.01786 | + | 0.824246i | ||||
\(428\) | −19.3163 | − | 1.01233i | −0.933690 | − | 0.0489326i | ||||
\(429\) | 0.452481 | − | 3.00825i | 0.0218460 | − | 0.145239i | ||||
\(430\) | −3.52795 | − | 4.81303i | −0.170133 | − | 0.232105i | ||||
\(431\) | 4.97560 | − | 1.61667i | 0.239666 | − | 0.0778723i | −0.186721 | − | 0.982413i | \(-0.559786\pi\) |
0.426387 | + | 0.904541i | \(0.359786\pi\) | |||||||
\(432\) | −5.05599 | + | 1.19874i | −0.243256 | + | 0.0576744i | ||||
\(433\) | −18.1126 | + | 35.5480i | −0.870438 | + | 1.70833i | −0.181655 | + | 0.983362i | \(0.558145\pi\) |
−0.688783 | + | 0.724968i | \(0.741855\pi\) | |||||||
\(434\) | −1.46101 | + | 13.9006i | −0.0701309 | + | 0.667251i | ||||
\(435\) | −0.962373 | − | 0.192520i | −0.0461423 | − | 0.00923064i | ||||
\(436\) | −1.51612 | − | 14.4249i | −0.0726088 | − | 0.690827i | ||||
\(437\) | −10.4064 | − | 3.99463i | −0.497804 | − | 0.191089i | ||||
\(438\) | 7.77262 | + | 6.88970i | 0.371390 | + | 0.329202i | ||||
\(439\) | −7.94103 | + | 17.8358i | −0.379005 | + | 0.851258i | 0.618832 | + | 0.785523i | \(0.287606\pi\) |
−0.997837 | + | 0.0657354i | \(0.979061\pi\) | |||||||
\(440\) | −4.01143 | − | 1.52048i | −0.191237 | − | 0.0724861i | ||||
\(441\) | 9.82431 | − | 9.12679i | 0.467824 | − | 0.434609i | ||||
\(442\) | 1.62709 | + | 0.829044i | 0.0773928 | + | 0.0394336i | ||||
\(443\) | 31.3744 | + | 8.40673i | 1.49064 | + | 0.399416i | 0.909953 | − | 0.414711i | \(-0.136117\pi\) |
0.580687 | + | 0.814127i | \(0.302784\pi\) | |||||||
\(444\) | −0.233047 | + | 5.22475i | −0.0110599 | + | 0.247956i | ||||
\(445\) | −15.2931 | − | 6.73189i | −0.724965 | − | 0.319122i | ||||
\(446\) | −10.8131 | + | 9.73620i | −0.512017 | + | 0.461022i | ||||
\(447\) | 1.35334 | + | 11.9783i | 0.0640106 | + | 0.566556i | ||||
\(448\) | 1.21369 | + | 3.16177i | 0.0573415 | + | 0.149380i | ||||
\(449\) | 25.6641 | 1.21116 | 0.605582 | − | 0.795783i | \(-0.292940\pi\) | ||||
0.605582 | + | 0.795783i | \(0.292940\pi\) | |||||||
\(450\) | 6.48721 | − | 13.5246i | 0.305810 | − | 0.637558i | ||||
\(451\) | 22.0900 | 1.04018 | ||||||||
\(452\) | 2.54226 | + | 6.62281i | 0.119578 | + | 0.311511i | ||||
\(453\) | 27.0408 | + | 11.7879i | 1.27049 | + | 0.553846i | ||||
\(454\) | −4.01963 | + | 3.61929i | −0.188651 | + | 0.169862i | ||||
\(455\) | 0.695622 | − | 6.89784i | 0.0326113 | − | 0.323376i | ||||
\(456\) | 2.12851 | − | 1.10549i | 0.0996767 | − | 0.0517692i | ||||
\(457\) | −29.4849 | − | 7.90046i | −1.37925 | − | 0.369568i | −0.508400 | − | 0.861121i | \(-0.669763\pi\) |
−0.870848 | + | 0.491553i | \(0.836429\pi\) | |||||||
\(458\) | −17.8528 | − | 9.09643i | −0.834204 | − | 0.425048i | ||||
\(459\) | 10.2724 | + | 1.38192i | 0.479474 | + | 0.0645023i | ||||
\(460\) | −9.86670 | − | 15.0541i | −0.460037 | − | 0.701903i | ||||
\(461\) | 9.65852 | − | 21.6934i | 0.449842 | − | 1.01036i | −0.536234 | − | 0.844069i | \(-0.680154\pi\) |
0.986076 | − | 0.166293i | \(-0.0531797\pi\) | |||||||
\(462\) | −10.6757 | + | 3.56087i | −0.496679 | + | 0.165667i | ||||
\(463\) | 0.369460 | + | 0.141822i | 0.0171703 | + | 0.00659104i | 0.366938 | − | 0.930245i | \(-0.380406\pi\) |
−0.349768 | + | 0.936836i | \(0.613739\pi\) | |||||||
\(464\) | −0.0264882 | − | 0.252019i | −0.00122969 | − | 0.0116997i | ||||
\(465\) | 13.0432 | + | 9.23936i | 0.604862 | + | 0.428465i | ||||
\(466\) | 1.47019 | − | 13.9879i | 0.0681053 | − | 0.647978i | ||||
\(467\) | −4.44495 | + | 8.72371i | −0.205688 | + | 0.403685i | −0.970687 | − | 0.240346i | \(-0.922739\pi\) |
0.765000 | + | 0.644031i | \(0.222739\pi\) | |||||||
\(468\) | 0.186421 | + | 2.74009i | 0.00861732 | + | 0.126661i | ||||
\(469\) | 17.1459 | − | 5.57105i | 0.791725 | − | 0.257247i | ||||
\(470\) | −25.3165 | + | 8.34392i | −1.16776 | + | 0.384876i | ||||
\(471\) | −28.6628 | − | 22.8435i | −1.32071 | − | 1.05257i | ||||
\(472\) | −3.24879 | − | 0.170262i | −0.149538 | − | 0.00783694i | ||||
\(473\) | 3.97904 | + | 3.22216i | 0.182956 | + | 0.148155i | ||||
\(474\) | 6.11071 | − | 16.2971i | 0.280674 | − | 0.748548i | ||||
\(475\) | −1.38242 | + | 6.78438i | −0.0634298 | + | 0.311289i | ||||
\(476\) | − | 6.75558i | − | 0.309642i | ||||||
\(477\) | −34.7325 | + | 6.05686i | −1.59029 | + | 0.277324i | ||||
\(478\) | 1.37094 | − | 0.698527i | 0.0627052 | − | 0.0319499i | ||||
\(479\) | 0.0755494 | − | 0.0160585i | 0.00345194 | − | 0.000733733i | −0.206185 | − | 0.978513i | \(-0.566105\pi\) |
0.209637 | + | 0.977779i | \(0.432772\pi\) | |||||||
\(480\) | 3.83229 | + | 0.559929i | 0.174920 | + | 0.0255571i | ||||
\(481\) | 2.70388 | + | 0.574727i | 0.123286 | + | 0.0262053i | ||||
\(482\) | −13.9382 | + | 3.73473i | −0.634867 | + | 0.170112i | ||||
\(483\) | −45.0198 | − | 14.2413i | −2.04847 | − | 0.648001i | ||||
\(484\) | −7.27922 | − | 0.765077i | −0.330874 | − | 0.0347762i | ||||
\(485\) | 13.6004 | + | 0.655320i | 0.617561 | + | 0.0297565i | ||||
\(486\) | 6.14851 | + | 14.3247i | 0.278902 | + | 0.649780i | ||||
\(487\) | −8.31805 | + | 1.31745i | −0.376927 | + | 0.0596993i | −0.342024 | − | 0.939691i | \(-0.611112\pi\) |
−0.0349032 | + | 0.999391i | \(0.511112\pi\) | |||||||
\(488\) | 5.02912 | + | 6.21045i | 0.227658 | + | 0.281134i | ||||
\(489\) | −16.4206 | − | 16.1669i | −0.742563 | − | 0.731090i | ||||
\(490\) | −9.31584 | + | 3.62112i | −0.420847 | + | 0.163586i | ||||
\(491\) | −5.91505 | − | 13.2854i | −0.266942 | − | 0.599563i | 0.729487 | − | 0.683995i | \(-0.239759\pi\) |
−0.996429 | + | 0.0844324i | \(0.973092\pi\) | |||||||
\(492\) | −19.4744 | + | 4.29813i | −0.877972 | + | 0.193775i | ||||
\(493\) | −0.130827 | + | 0.488255i | −0.00589217 | + | 0.0219899i | ||||
\(494\) | −0.391745 | − | 1.20567i | −0.0176254 | − | 0.0542455i | ||||
\(495\) | −2.42622 | + | 12.6390i | −0.109051 | + | 0.568080i | ||||
\(496\) | −1.27533 | + | 3.92507i | −0.0572641 | + | 0.176241i | ||||
\(497\) | 3.05771 | + | 1.98570i | 0.137157 | + | 0.0890708i | ||||
\(498\) | 5.11467 | − | 9.02032i | 0.229194 | − | 0.404210i | ||||
\(499\) | 8.07819 | + | 4.66395i | 0.361630 | + | 0.208787i | 0.669795 | − | 0.742546i | \(-0.266382\pi\) |
−0.308166 | + | 0.951333i | \(0.599715\pi\) | |||||||
\(500\) | −8.21339 | + | 7.58552i | −0.367314 | + | 0.339235i | ||||
\(501\) | −22.4145 | − | 8.40452i | −1.00141 | − | 0.375486i | ||||
\(502\) | 18.2796 | − | 7.01687i | 0.815857 | − | 0.313178i | ||||
\(503\) | 11.9554 | + | 23.4637i | 0.533063 | + | 1.04619i | 0.987823 | + | 0.155581i | \(0.0497249\pi\) |
−0.454760 | + | 0.890614i | \(0.650275\pi\) | |||||||
\(504\) | 8.71878 | − | 5.21645i | 0.388366 | − | 0.232359i | ||||
\(505\) | −29.8386 | − | 17.0601i | −1.32780 | − | 0.759164i | ||||
\(506\) | 11.4765 | + | 10.3335i | 0.510195 | + | 0.459381i | ||||
\(507\) | −20.9661 | − | 2.03874i | −0.931139 | − | 0.0905435i | ||||
\(508\) | 4.07546 | + | 6.27566i | 0.180819 | + | 0.278437i | ||||
\(509\) | 19.5477 | − | 8.70319i | 0.866436 | − | 0.385762i | 0.0751234 | − | 0.997174i | \(-0.476065\pi\) |
0.791312 | + | 0.611412i | \(0.209398\pi\) | |||||||
\(510\) | −6.73639 | − | 3.78223i | −0.298292 | − | 0.167480i | ||||
\(511\) | −18.5533 | − | 8.26048i | −0.820751 | − | 0.365422i | ||||
\(512\) | 0.156434 | + | 0.987688i | 0.00691349 | + | 0.0436501i | ||||
\(513\) | −4.36415 | − | 5.72086i | −0.192682 | − | 0.252582i | ||||
\(514\) | 7.53718 | + | 10.3740i | 0.332451 | + | 0.457579i | ||||
\(515\) | 2.52219 | − | 1.29853i | 0.111141 | − | 0.0572202i | ||||
\(516\) | −4.13484 | − | 2.06642i | −0.182026 | − | 0.0909691i | ||||
\(517\) | 19.1808 | − | 12.4562i | 0.843571 | − | 0.547821i | ||||
\(518\) | −2.64674 | − | 9.87777i | −0.116291 | − | 0.434004i | ||||
\(519\) | −8.85944 | + | 13.8777i | −0.388886 | + | 0.609163i | ||||
\(520\) | 0.624370 | − | 1.94952i | 0.0273804 | − | 0.0854922i | ||||
\(521\) | −10.5291 | − | 3.42111i | −0.461288 | − | 0.149882i | 0.0691481 | − | 0.997606i | \(-0.477972\pi\) |
−0.530436 | + | 0.847725i | \(0.677972\pi\) | |||||||
\(522\) | −0.731164 | + | 0.208169i | −0.0320022 | + | 0.00911130i | ||||
\(523\) | 34.4964 | + | 5.46369i | 1.50842 | + | 0.238910i | 0.855216 | − | 0.518272i | \(-0.173424\pi\) |
0.653204 | + | 0.757182i | \(0.273424\pi\) | |||||||
\(524\) | −7.85502 | − | 13.6053i | −0.343148 | − | 0.594350i | ||||
\(525\) | −4.11799 | + | 29.0393i | −0.179724 | + | 1.26738i | ||||
\(526\) | −5.15949 | + | 8.93649i | −0.224964 | + | 0.389650i | ||||
\(527\) | 5.18080 | − | 6.39776i | 0.225679 | − | 0.278691i | ||||
\(528\) | −3.30195 | + | 0.373060i | −0.143699 | + | 0.0162354i | ||||
\(529\) | 8.68984 | + | 40.8825i | 0.377819 | + | 1.77750i | ||||
\(530\) | 25.7273 | + | 5.35532i | 1.11752 | + | 0.232620i | ||||
\(531\) | 1.17117 | + | 9.68922i | 0.0508244 | + | 0.420476i | ||||
\(532\) | −3.31618 | + | 3.31618i | −0.143775 | + | 0.143775i | ||||
\(533\) | 0.551668 | + | 10.5264i | 0.0238954 | + | 0.455951i | ||||
\(534\) | −12.9195 | + | 0.777982i | −0.559082 | + | 0.0336666i | ||||
\(535\) | 11.0183 | − | 41.8249i | 0.476363 | − | 1.80825i | ||||
\(536\) | 5.29408 | − | 0.556430i | 0.228669 | − | 0.0240341i | ||||
\(537\) | 13.7912 | + | 41.3468i | 0.595133 | + | 1.78425i | ||||
\(538\) | −12.7823 | + | 10.3509i | −0.551084 | + | 0.446259i | ||||
\(539\) | 6.93767 | − | 5.04052i | 0.298827 | − | 0.217110i | ||||
\(540\) | −0.320274 | − | 11.6145i | −0.0137824 | − | 0.499810i | ||||
\(541\) | 15.6652 | + | 11.3814i | 0.673500 | + | 0.489326i | 0.871195 | − | 0.490937i | \(-0.163346\pi\) |
−0.197695 | + | 0.980264i | \(0.563346\pi\) | |||||||
\(542\) | 19.1550 | − | 1.00387i | 0.822778 | − | 0.0431200i | ||||
\(543\) | −0.321771 | − | 0.229975i | −0.0138085 | − | 0.00986916i | ||||
\(544\) | 0.414728 | − | 1.95114i | 0.0177813 | − | 0.0836545i | ||||
\(545\) | 32.2690 | + | 3.25422i | 1.38225 | + | 0.139395i | ||||
\(546\) | −1.96346 | − | 4.99833i | −0.0840283 | − | 0.213909i | ||||
\(547\) | −4.48566 | + | 6.90731i | −0.191793 | + | 0.295335i | −0.921465 | − | 0.388462i | \(-0.873006\pi\) |
0.729672 | + | 0.683798i | \(0.239673\pi\) | |||||||
\(548\) | 1.87454 | − | 11.8354i | 0.0800763 | − | 0.505582i | ||||
\(549\) | 15.7624 | − | 18.0638i | 0.672725 | − | 0.770944i | ||||
\(550\) | 5.15650 | − | 8.08873i | 0.219874 | − | 0.344904i | ||||
\(551\) | 0.303895 | − | 0.175454i | 0.0129463 | − | 0.00747458i | ||||
\(552\) | −12.1283 | − | 6.87694i | −0.516214 | − | 0.292702i | ||||
\(553\) | −1.78112 | + | 33.9858i | −0.0757409 | + | 1.44522i | ||||
\(554\) | 3.71612 | + | 4.12716i | 0.157883 | + | 0.175346i | ||||
\(555\) | −11.3315 | − | 2.89102i | −0.480997 | − | 0.122717i | ||||
\(556\) | −12.5388 | + | 13.9257i | −0.531762 | + | 0.590581i | ||||
\(557\) | 1.04629 | + | 1.04629i | 0.0443328 | + | 0.0443328i | 0.728926 | − | 0.684593i | \(-0.240020\pi\) |
−0.684593 | + | 0.728926i | \(0.740020\pi\) | |||||||
\(558\) | 12.2574 | + | 1.74621i | 0.518898 | + | 0.0739232i | ||||
\(559\) | −1.43607 | + | 1.97659i | −0.0607394 | + | 0.0836007i | ||||
\(560\) | −7.47463 | + | 1.21617i | −0.315861 | + | 0.0513925i | ||||
\(561\) | 6.41571 | + | 1.66566i | 0.270871 | + | 0.0703243i | ||||
\(562\) | 2.51481 | − | 6.55130i | 0.106081 | − | 0.276350i | ||||
\(563\) | −1.32121 | + | 3.44187i | −0.0556824 | + | 0.145058i | −0.958600 | − | 0.284756i | \(-0.908087\pi\) |
0.902918 | + | 0.429814i | \(0.141421\pi\) | |||||||
\(564\) | −14.4860 | + | 14.7134i | −0.609972 | + | 0.619544i | ||||
\(565\) | −15.6567 | + | 2.54745i | −0.658684 | + | 0.107172i | ||||
\(566\) | −5.76315 | + | 7.93230i | −0.242243 | + | 0.333420i | ||||
\(567\) | −19.9102 | − | 23.0790i | −0.836149 | − | 0.969228i | ||||
\(568\) | 0.761222 | + | 0.761222i | 0.0319402 | + | 0.0319402i | ||||
\(569\) | −4.04041 | + | 4.48733i | −0.169383 | + | 0.188119i | −0.821860 | − | 0.569690i | \(-0.807063\pi\) |
0.652477 | + | 0.757809i | \(0.273730\pi\) | |||||||
\(570\) | 1.45014 | + | 5.16337i | 0.0607396 | + | 0.216270i | ||||
\(571\) | 1.41991 | + | 1.57697i | 0.0594213 | + | 0.0659940i | 0.772123 | − | 0.635474i | \(-0.219195\pi\) |
−0.712701 | + | 0.701468i | \(0.752528\pi\) | |||||||
\(572\) | −0.0919202 | + | 1.75394i | −0.00384338 | + | 0.0733360i | ||||
\(573\) | −39.8744 | + | 23.4373i | −1.66578 | + | 0.979107i | ||||
\(574\) | 33.7707 | − | 19.4975i | 1.40956 | − | 0.813811i | ||||
\(575\) | 37.4518 | − | 14.7397i | 1.56185 | − | 0.614687i | ||||
\(576\) | 2.83839 | − | 0.971361i | 0.118266 | − | 0.0404734i | ||||
\(577\) | −0.00247421 | + | 0.0156215i | −0.000103003 | + | 0.000650332i | −0.987740 | − | 0.156109i | \(-0.950105\pi\) |
0.987637 | + | 0.156760i | \(0.0501048\pi\) | |||||||
\(578\) | 7.09177 | − | 10.9204i | 0.294979 | − | 0.454228i | ||||
\(579\) | −1.83455 | + | 2.30189i | −0.0762413 | + | 0.0956634i | ||||
\(580\) | 0.563776 | + | 0.0568547i | 0.0234095 | + | 0.00236076i | ||||
\(581\) | −4.21555 | + | 19.8326i | −0.174890 | + | 0.822795i | ||||
\(582\) | 9.60150 | − | 4.36474i | 0.397995 | − | 0.180924i | ||||
\(583\) | −22.5159 | + | 1.18001i | −0.932511 | + | 0.0488708i | ||||
\(584\) | −4.85144 | − | 3.52478i | −0.200754 | − | 0.145856i | ||||
\(585\) | −6.08340 | − | 0.840517i | −0.251518 | − | 0.0347511i | ||||
\(586\) | −22.0511 | + | 16.0210i | −0.910921 | + | 0.661823i | ||||
\(587\) | −11.4201 | + | 9.24781i | −0.471358 | + | 0.381698i | −0.835363 | − | 0.549699i | \(-0.814742\pi\) |
0.364005 | + | 0.931397i | \(0.381409\pi\) | |||||||
\(588\) | −5.13546 | + | 5.79358i | −0.211783 | + | 0.238923i | ||||
\(589\) | −5.68368 | + | 0.597379i | −0.234192 | + | 0.0246146i | ||||
\(590\) | 1.85315 | − | 7.03448i | 0.0762932 | − | 0.289605i | ||||
\(591\) | −11.6880 | + | 23.3873i | −0.480779 | + | 0.962024i | ||||
\(592\) | −0.158029 | − | 3.01537i | −0.00649495 | − | 0.123931i | ||||
\(593\) | 7.60281 | − | 7.60281i | 0.312210 | − | 0.312210i | −0.533555 | − | 0.845765i | \(-0.679144\pi\) |
0.845765 | + | 0.533555i | \(0.179144\pi\) | |||||||
\(594\) | 2.80430 | + | 9.56631i | 0.115062 | + | 0.392510i | ||||
\(595\) | 14.7889 | + | 3.07842i | 0.606288 | + | 0.126203i | ||||
\(596\) | −1.44700 | − | 6.80761i | −0.0592715 | − | 0.278851i | ||||
\(597\) | −8.31419 | − | 11.2581i | −0.340277 | − | 0.460765i | ||||
\(598\) | −4.63759 | + | 5.72694i | −0.189645 | + | 0.234192i | ||||
\(599\) | 11.1264 | − | 19.2715i | 0.454611 | − | 0.787410i | −0.544054 | − | 0.839050i | \(-0.683111\pi\) |
0.998666 | + | 0.0516399i | \(0.0164448\pi\) | |||||||
\(600\) | −2.97209 | + | 8.13429i | −0.121335 | + | 0.332081i | ||||
\(601\) | −13.3391 | − | 23.1040i | −0.544113 | − | 0.942432i | −0.998662 | − | 0.0517101i | \(-0.983533\pi\) |
0.454549 | − | 0.890722i | \(-0.349801\pi\) | |||||||
\(602\) | 8.92709 | + | 1.41391i | 0.363841 | + | 0.0576268i | ||||
\(603\) | −4.37293 | − | 15.3593i | −0.178080 | − | 0.625480i | ||||
\(604\) | −16.1974 | − | 5.26285i | −0.659062 | − | 0.214142i | ||||
\(605\) | 4.99190 | − | 15.5866i | 0.202950 | − | 0.633687i | ||||
\(606\) | −26.5975 | − | 1.18636i | −1.08045 | − | 0.0481927i | ||||
\(607\) | −5.13481 | − | 19.1634i | −0.208415 | − | 0.777817i | −0.988381 | − | 0.151995i | \(-0.951430\pi\) |
0.779966 | − | 0.625822i | \(-0.215236\pi\) | |||||||
\(608\) | −1.16136 | + | 0.754194i | −0.0470992 | + | 0.0305866i | ||||
\(609\) | 1.24032 | − | 0.819273i | 0.0502604 | − | 0.0331986i | ||||
\(610\) | −15.8873 | + | 8.17946i | −0.643257 | + | 0.331177i | ||||
\(611\) | 6.41470 | + | 8.82908i | 0.259511 | + | 0.357186i | ||||
\(612\) | −5.98014 | − | 0.220107i | −0.241733 | − | 0.00889731i | ||||
\(613\) | 2.51586 | + | 15.8845i | 0.101615 | + | 0.641570i | 0.984951 | + | 0.172831i | \(0.0552915\pi\) |
−0.883337 | + | 0.468739i | \(0.844709\pi\) | |||||||
\(614\) | 18.0308 | + | 8.02782i | 0.727663 | + | 0.323976i | ||||
\(615\) | −0.535036 | − | 44.5908i | −0.0215747 | − | 1.79807i | ||||
\(616\) | 5.93571 | − | 2.64275i | 0.239157 | − | 0.106479i | ||||
\(617\) | −8.72221 | − | 13.4310i | −0.351143 | − | 0.540712i | 0.618328 | − | 0.785920i | \(-0.287810\pi\) |
−0.969471 | + | 0.245208i | \(0.921144\pi\) | |||||||
\(618\) | 1.27772 | − | 1.78773i | 0.0513975 | − | 0.0719132i | ||||
\(619\) | −3.84380 | − | 3.46097i | −0.154495 | − | 0.139108i | 0.588258 | − | 0.808673i | \(-0.299814\pi\) |
−0.742754 | + | 0.669565i | \(0.766481\pi\) | |||||||
\(620\) | −8.01139 | − | 4.58048i | −0.321745 | − | 0.183957i | ||||
\(621\) | −14.0734 | + | 39.3882i | −0.564747 | + | 1.58059i | ||||
\(622\) | 11.5919 | + | 22.7504i | 0.464792 | + | 0.912206i | ||||
\(623\) | 23.6266 | − | 9.06942i | 0.946582 | − | 0.363359i | ||||
\(624\) | −0.260235 | − | 1.56415i | −0.0104177 | − | 0.0626161i | ||||
\(625\) | −12.8631 | − | 21.4369i | −0.514523 | − | 0.857476i | ||||
\(626\) | −2.12723 | − | 1.22816i | −0.0850211 | − | 0.0490870i | ||||
\(627\) | −2.33170 | − | 3.96698i | −0.0931191 | − | 0.158426i | ||||
\(628\) | 17.7472 | + | 11.5252i | 0.708191 | + | 0.459905i | ||||
\(629\) | −1.86124 | + | 5.72832i | −0.0742126 | + | 0.228403i | ||||
\(630\) | 7.44654 | + | 21.4637i | 0.296677 | + | 0.855136i | ||||
\(631\) | −7.58370 | − | 23.3402i | −0.301902 | − | 0.929160i | −0.980815 | − | 0.194941i | \(-0.937548\pi\) |
0.678913 | − | 0.734219i | \(-0.262452\pi\) | |||||||
\(632\) | −2.60082 | + | 9.70639i | −0.103455 | + | 0.386099i | ||||
\(633\) | 3.13660 | + | 3.42948i | 0.124669 | + | 0.136309i | ||||
\(634\) | −3.90757 | − | 8.77654i | −0.155189 | − | 0.348561i | ||||
\(635\) | −15.5954 | + | 6.06204i | −0.618886 | + | 0.240565i | ||||
\(636\) | 19.6202 | − | 5.42128i | 0.777993 | − | 0.214968i | ||||
\(637\) | 2.57520 | + | 3.18010i | 0.102033 | + | 0.126000i | ||||
\(638\) | −0.480178 | + | 0.0760528i | −0.0190104 | + | 0.00301096i | ||||
\(639\) | 1.85740 | − | 2.64203i | 0.0734775 | − | 0.104517i | ||||
\(640\) | −2.23348 | − | 0.107618i | −0.0882859 | − | 0.00425396i | ||||
\(641\) | −15.6546 | − | 1.64537i | −0.618321 | − | 0.0649882i | −0.209811 | − | 0.977742i | \(-0.567285\pi\) |
−0.408510 | + | 0.912754i | \(0.633952\pi\) | |||||||
\(642\) | −7.22053 | − | 32.7155i | −0.284972 | − | 1.29118i | ||||
\(643\) | −35.3426 | + | 9.47003i | −1.39378 | + | 0.373462i | −0.876106 | − | 0.482118i | \(-0.839868\pi\) |
−0.517671 | + | 0.855580i | \(0.673201\pi\) | |||||||
\(644\) | 26.6659 | + | 5.66802i | 1.05078 | + | 0.223351i | ||||
\(645\) | 6.40788 | − | 8.11013i | 0.252310 | − | 0.319336i | ||||
\(646\) | 2.70186 | − | 0.574298i | 0.106303 | − | 0.0225954i | ||||
\(647\) | 24.8010 | − | 12.6367i | 0.975027 | − | 0.496801i | 0.107507 | − | 0.994204i | \(-0.465713\pi\) |
0.867519 | + | 0.497403i | \(0.165713\pi\) | |||||||
\(648\) | −4.33361 | − | 7.88796i | −0.170240 | − | 0.309868i | ||||
\(649\) | 6.24139i | 0.244996i | ||||||||
\(650\) | 3.98327 | + | 2.25520i | 0.156237 | + | 0.0884564i | ||||
\(651\) | −23.8809 | + | 3.97319i | −0.935968 | + | 0.155721i | ||||
\(652\) | 10.3393 | + | 8.37258i | 0.404917 | + | 0.327895i | ||||
\(653\) | 38.9258 | + | 2.04002i | 1.52328 | + | 0.0798320i | 0.795492 | − | 0.605965i | \(-0.207213\pi\) |
0.727793 | + | 0.685797i | \(0.240546\pi\) | |||||||
\(654\) | 23.3829 | − | 9.18533i | 0.914342 | − | 0.359175i | ||||
\(655\) | 33.3634 | − | 10.9960i | 1.30361 | − | 0.429650i | ||||
\(656\) | 10.9506 | − | 3.55806i | 0.427548 | − | 0.138919i | ||||
\(657\) | −7.91679 | + | 16.1545i | −0.308863 | + | 0.630249i | ||||
\(658\) | 18.3289 | − | 35.9725i | 0.714536 | − | 1.40236i | ||||
\(659\) | −2.50807 | + | 23.8627i | −0.0977005 | + | 0.929558i | 0.830385 | + | 0.557190i | \(0.188121\pi\) |
−0.928085 | + | 0.372368i | \(0.878546\pi\) | |||||||
\(660\) | 0.687967 | − | 7.39844i | 0.0267791 | − | 0.287984i | ||||
\(661\) | −1.17904 | − | 11.2178i | −0.0458593 | − | 0.436322i | −0.993228 | − | 0.116179i | \(-0.962936\pi\) |
0.947369 | − | 0.320144i | \(-0.103731\pi\) | |||||||
\(662\) | −27.2645 | − | 10.4659i | −1.05966 | − | 0.406767i | ||||
\(663\) | −0.633508 | + | 3.09885i | −0.0246034 | + | 0.120349i | ||||
\(664\) | −2.43506 | + | 5.46923i | −0.0944987 | + | 0.212247i | ||||
\(665\) | −5.74846 | − | 8.77072i | −0.222916 | − | 0.340114i | ||||
\(666\) | −8.83018 | + | 2.02110i | −0.342163 | + | 0.0783160i | ||||
\(667\) | −1.81749 | − | 0.926059i | −0.0703736 | − | 0.0358572i | ||||
\(668\) | 13.3499 | + | 3.57710i | 0.516524 | + | 0.138402i | ||||
\(669\) | −21.2426 | − | 13.5612i | −0.821286 | − | 0.524305i | ||||
\(670\) | −1.19433 | + | 11.8430i | −0.0461409 | + | 0.457537i | ||||
\(671\) | 11.3935 | − | 10.2588i | 0.439842 | − | 0.396036i | ||||
\(672\) | −4.71868 | + | 3.48477i | −0.182027 | + | 0.134428i | ||||
\(673\) | 6.21244 | + | 16.1840i | 0.239472 | + | 0.623846i | 0.999666 | − | 0.0258506i | \(-0.00822941\pi\) |
−0.760194 | + | 0.649696i | \(0.774896\pi\) | |||||||
\(674\) | −31.6920 | −1.22073 | ||||||||
\(675\) | 25.5718 | + | 4.59145i | 0.984260 | + | 0.176725i | ||||
\(676\) | 12.1619 | 0.467766 | ||||||||
\(677\) | −14.8392 | − | 38.6574i | −0.570316 | − | 1.48572i | −0.850604 | − | 0.525807i | \(-0.823763\pi\) |
0.280288 | − | 0.959916i | \(-0.409570\pi\) | |||||||
\(678\) | −9.88398 | + | 7.29937i | −0.379592 | + | 0.280331i | ||||
\(679\) | −15.3257 | + | 13.7994i | −0.588148 | + | 0.529571i | ||||
\(680\) | 4.08234 | + | 1.79701i | 0.156551 | + | 0.0689120i | ||||
\(681\) | −7.89663 | − | 5.04117i | −0.302600 | − | 0.193178i | ||||
\(682\) | 7.64802 | + | 2.04928i | 0.292858 | + | 0.0784710i | ||||
\(683\) | −20.2872 | − | 10.3368i | −0.776266 | − | 0.395527i | 0.0205194 | − | 0.999789i | \(-0.493468\pi\) |
−0.796786 | + | 0.604262i | \(0.793468\pi\) | |||||||
\(684\) | 2.82748 | + | 3.04357i | 0.108111 | + | 0.116374i | ||||
\(685\) | 25.0551 | + | 9.49684i | 0.957307 | + | 0.362856i | ||||
\(686\) | −3.48530 | + | 7.82810i | −0.133069 | + | 0.298878i | ||||
\(687\) | 6.95097 | − | 34.0012i | 0.265196 | − | 1.29723i | ||||
\(688\) | 2.49151 | + | 0.956402i | 0.0949880 | + | 0.0364625i | ||||
\(689\) | −1.12461 | − | 10.6999i | −0.0428441 | − | 0.407635i | ||||
\(690\) | 20.5813 | − | 23.4168i | 0.783516 | − | 0.891464i | ||||
\(691\) | 0.894513 | − | 8.51072i | 0.0340289 | − | 0.323763i | −0.964244 | − | 0.265016i | \(-0.914623\pi\) |
0.998273 | − | 0.0587471i | \(-0.0187106\pi\) | |||||||
\(692\) | 4.31554 | − | 8.46972i | 0.164052 | − | 0.321970i | ||||
\(693\) | −10.8695 | − | 16.1804i | −0.412899 | − | 0.614642i | ||||
\(694\) | 26.9339 | − | 8.75135i | 1.02240 | − | 0.332197i | ||||
\(695\) | −24.7716 | − | 33.7949i | −0.939642 | − | 1.28191i | ||||
\(696\) | 0.408524 | − | 0.160478i | 0.0154851 | − | 0.00608289i | ||||
\(697\) | −22.9361 | − | 1.20203i | −0.868766 | − | 0.0455301i | ||||
\(698\) | 5.46494 | + | 4.42542i | 0.206851 | + | 0.167505i | ||||
\(699\) | 24.0309 | − | 3.99814i | 0.908934 | − | 0.151224i | ||||
\(700\) | 0.743713 | − | 16.9172i | 0.0281097 | − | 0.639411i | ||||
\(701\) | 16.9266i | 0.639308i | 0.947534 | + | 0.319654i | \(0.103567\pi\) | ||||
−0.947534 | + | 0.319654i | \(0.896433\pi\) | |||||||
\(702\) | −4.48856 | + | 1.57523i | −0.169410 | + | 0.0594532i | ||||
\(703\) | 3.72556 | − | 1.89827i | 0.140512 | − | 0.0715945i | ||||
\(704\) | 1.87659 | − | 0.398881i | 0.0707265 | − | 0.0150334i | ||||
\(705\) | −25.6086 | − | 38.4167i | −0.964475 | − | 1.44686i | ||||
\(706\) | −11.7881 | − | 2.50563i | −0.443650 | − | 0.0943007i | ||||
\(707\) | 50.2845 | − | 13.4737i | 1.89114 | − | 0.506730i | ||||
\(708\) | −1.21441 | − | 5.50237i | −0.0456404 | − | 0.206792i | ||||
\(709\) | −26.6009 | − | 2.79587i | −0.999020 | − | 0.105001i | −0.409122 | − | 0.912480i | \(-0.634165\pi\) |
−0.589897 | + | 0.807478i | \(0.700832\pi\) | |||||||
\(710\) | −2.01330 | + | 1.31955i | −0.0755579 | + | 0.0495217i | ||||
\(711\) | 30.0267 | + | 2.68398i | 1.12609 | + | 0.100657i | ||||
\(712\) | 7.38060 | − | 1.16897i | 0.276600 | − | 0.0438091i | ||||
\(713\) | 20.9067 | + | 25.8177i | 0.782964 | + | 0.966880i | ||||
\(714\) | 11.2784 | − | 3.11634i | 0.422083 | − | 0.116626i | ||||
\(715\) | −3.79774 | − | 1.00047i | −0.142028 | − | 0.0374155i | ||||
\(716\) | −10.2353 | − | 22.9889i | −0.382512 | − | 0.859135i | ||||
\(717\) | 1.79860 | + | 1.96654i | 0.0671698 | + | 0.0734417i | ||||
\(718\) | −1.66233 | + | 6.20390i | −0.0620376 | + | 0.231528i | ||||
\(719\) | −7.62149 | − | 23.4565i | −0.284234 | − | 0.874781i | −0.986627 | − | 0.162993i | \(-0.947885\pi\) |
0.702394 | − | 0.711789i | \(-0.252115\pi\) | |||||||
\(720\) | 0.833036 | + | 6.65628i | 0.0310454 | + | 0.248065i | ||||
\(721\) | −1.32773 | + | 4.08633i | −0.0494472 | + | 0.152183i | ||||
\(722\) | 14.3265 | + | 9.30377i | 0.533179 | + | 0.346250i | ||||
\(723\) | −12.6648 | − | 21.5469i | −0.471008 | − | 0.801337i | ||||
\(724\) | 0.197753 | + | 0.114173i | 0.00734944 | + | 0.00424320i | ||||
\(725\) | −0.381367 | + | 1.20828i | −0.0141636 | + | 0.0448743i | ||||
\(726\) | −2.08061 | − | 12.5055i | −0.0772185 | − | 0.464124i | ||||
\(727\) | 46.9665 | − | 18.0288i | 1.74189 | − | 0.668650i | 0.741894 | − | 0.670517i | \(-0.233928\pi\) |
0.999998 | + | 0.00186717i | \(0.000594340\pi\) | |||||||
\(728\) | 1.40758 | + | 2.76252i | 0.0521683 | + | 0.102386i | ||||
\(729\) | −21.0786 | + | 16.8728i | −0.780689 | + | 0.624920i | ||||
\(730\) | 9.92698 | − | 9.01431i | 0.367414 | − | 0.333635i | ||||
\(731\) | −3.95612 | − | 3.56210i | −0.146322 | − | 0.131749i | ||||
\(732\) | −8.04837 | + | 11.2610i | −0.297476 | + | 0.416217i | ||||
\(733\) | −14.1336 | − | 21.7638i | −0.522036 | − | 0.803865i | 0.475066 | − | 0.879950i | \(-0.342424\pi\) |
−0.997101 | + | 0.0760859i | \(0.975758\pi\) | |||||||
\(734\) | −4.06804 | + | 1.81121i | −0.150154 | + | 0.0668529i | ||||
\(735\) | −10.3428 | − | 13.8823i | −0.381501 | − | 0.512057i | ||||
\(736\) | 7.35366 | + | 3.27406i | 0.271060 | + | 0.120684i | ||||
\(737\) | −1.59762 | − | 10.0869i | −0.0588489 | − | 0.371558i | ||||
\(738\) | −16.1592 | − | 30.5296i | −0.594828 | − | 1.12381i | ||||
\(739\) | −24.7020 | − | 33.9994i | −0.908679 | − | 1.25069i | −0.967616 | − | 0.252428i | \(-0.918771\pi\) |
0.0589366 | − | 0.998262i | \(-0.481229\pi\) | |||||||
\(740\) | 6.67309 | + | 1.02811i | 0.245308 | + | 0.0377942i | ||||
\(741\) | 1.83214 | − | 1.21019i | 0.0673053 | − | 0.0444573i | ||||
\(742\) | −33.3803 | + | 21.6774i | −1.22543 | + | 0.795803i | ||||
\(743\) | −3.37419 | − | 12.5927i | −0.123787 | − | 0.461980i | 0.876006 | − | 0.482299i | \(-0.160198\pi\) |
−0.999794 | + | 0.0203197i | \(0.993532\pi\) | |||||||
\(744\) | −7.14118 | − | 0.318528i | −0.261808 | − | 0.0116778i | ||||
\(745\) | 15.5622 | − | 0.0655667i | 0.570156 | − | 0.00240218i | ||||
\(746\) | 17.4692 | + | 5.67608i | 0.639592 | + | 0.207816i | ||||
\(747\) | 17.4188 | + | 4.37784i | 0.637319 | + | 0.160177i | ||||
\(748\) | −3.77980 | − | 0.598661i | −0.138203 | − | 0.0218892i | ||||
\(749\) | 32.7544 | + | 56.7322i | 1.19682 | + | 2.07295i | ||||
\(750\) | −16.4528 | − | 10.2130i | −0.600771 | − | 0.372926i | ||||
\(751\) | −17.8259 | + | 30.8754i | −0.650477 | + | 1.12666i | 0.332530 | + | 0.943093i | \(0.392098\pi\) |
−0.983007 | + | 0.183567i | \(0.941235\pi\) | |||||||
\(752\) | 7.50210 | − | 9.26433i | 0.273574 | − | 0.337835i | ||||
\(753\) | 20.1469 | + | 27.2807i | 0.734195 | + | 0.994165i | ||||
\(754\) | −0.0482330 | − | 0.226918i | −0.00175654 | − | 0.00826387i | ||||
\(755\) | 18.9021 | − | 33.0602i | 0.687916 | − | 1.20318i | ||||
\(756\) | 12.7308 | + | 12.1496i | 0.463014 | + | 0.441877i | ||||
\(757\) | 21.9577 | − | 21.9577i | 0.798066 | − | 0.798066i | −0.184724 | − | 0.982790i | \(-0.559139\pi\) |
0.982790 | + | 0.184724i | \(0.0591391\pi\) | |||||||
\(758\) | −1.91179 | − | 36.4791i | −0.0694393 | − | 1.32498i | ||||
\(759\) | −11.9576 | + | 23.9268i | −0.434034 | + | 0.868489i | ||||
\(760\) | −1.12182 | − | 2.88605i | −0.0406929 | − | 0.104688i | ||||
\(761\) | −16.2123 | + | 1.70398i | −0.587696 | + | 0.0617693i | −0.393709 | − | 0.919235i | \(-0.628808\pi\) |
−0.193986 | + | 0.981004i | \(0.562142\pi\) | |||||||
\(762\) | −8.59715 | + | 9.69890i | −0.311442 | + | 0.351354i | ||||
\(763\) | −38.1750 | + | 30.9135i | −1.38203 | + | 1.11915i | ||||
\(764\) | 21.6038 | − | 15.6961i | 0.781599 | − | 0.567865i | ||||
\(765\) | 3.20691 | − | 12.9911i | 0.115946 | − | 0.469694i | ||||
\(766\) | 21.9570 | + | 15.9527i | 0.793339 | + | 0.576394i | ||||
\(767\) | −2.97419 | + | 0.155871i | −0.107392 | + | 0.00562816i | ||||
\(768\) | −1.57677 | + | 0.716785i | −0.0568970 | + | 0.0258648i | ||||
\(769\) | −1.22780 | + | 5.77634i | −0.0442756 | + | 0.208300i | −0.994725 | − | 0.102580i | \(-0.967290\pi\) |
0.950449 | + | 0.310880i | \(0.100624\pi\) | |||||||
\(770\) | 3.08054 | + | 14.1984i | 0.111015 | + | 0.511675i | ||||
\(771\) | −13.8425 | + | 17.3688i | −0.498525 | + | 0.625522i | ||||
\(772\) | 0.925581 | − | 1.42527i | 0.0333124 | − | 0.0512966i | ||||
\(773\) | −1.73932 | + | 10.9816i | −0.0625590 | + | 0.394982i | 0.936463 | + | 0.350766i | \(0.114079\pi\) |
−0.999022 | + | 0.0442155i | \(0.985921\pi\) | |||||||
\(774\) | 1.54247 | − | 7.85632i | 0.0554431 | − | 0.282390i | ||||
\(775\) | 13.6780 | − | 15.4508i | 0.491329 | − | 0.555010i | ||||
\(776\) | −5.27351 | + | 3.04466i | −0.189308 | + | 0.109297i | ||||
\(777\) | 15.2699 | − | 8.97531i | 0.547805 | − | 0.321988i | ||||
\(778\) | −0.355141 | + | 6.77650i | −0.0127324 | + | 0.242949i | ||||
\(779\) | 10.6688 | + | 11.8489i | 0.382250 | + | 0.424531i | ||||
\(780\) | 3.54273 | + | 0.143068i | 0.126850 | + | 0.00512266i | ||||
\(781\) | 1.38198 | − | 1.53484i | 0.0494511 | − | 0.0549210i | ||||
\(782\) | −11.3538 | − | 11.3538i | −0.406012 | − | 0.406012i | ||||
\(783\) | −0.684821 | − | 1.12465i | −0.0244735 | − | 0.0401915i | ||||
\(784\) | 2.62731 | − | 3.61618i | 0.0938324 | − | 0.129149i | ||||
\(785\) | −33.3174 | + | 33.5993i | −1.18915 | + | 1.19921i | ||||
\(786\) | 19.0904 | − | 19.3900i | 0.680932 | − | 0.691618i | ||||
\(787\) | −2.12487 | + | 5.53548i | −0.0757436 | + | 0.197319i | −0.966224 | − | 0.257702i | \(-0.917035\pi\) |
0.890481 | + | 0.455021i | \(0.150368\pi\) | |||||||
\(788\) | 5.40955 | − | 14.0924i | 0.192707 | − | 0.502020i | ||||
\(789\) | −17.2995 | − | 4.49133i | −0.615877 | − | 0.159896i | ||||
\(790\) | −20.0635 | − | 10.1166i | −0.713828 | − | 0.359933i | ||||
\(791\) | 14.1217 | − | 19.4369i | 0.502111 | − | 0.691096i | ||||
\(792\) | −2.14601 | − | 5.34049i | −0.0762550 | − | 0.189766i | ||||
\(793\) | 5.17311 | + | 5.17311i | 0.183703 | + | 0.183703i | ||||
\(794\) | −25.2389 | + | 28.0306i | −0.895695 | + | 0.994770i | ||||
\(795\) | 2.92731 | + | 45.4219i | 0.103821 | + | 1.61095i | ||||
\(796\) | 5.40675 | + | 6.00480i | 0.191637 | + | 0.212834i | ||||
\(797\) | −0.931777 | + | 17.7794i | −0.0330052 | + | 0.629778i | 0.931182 | + | 0.364555i | \(0.118779\pi\) |
−0.964187 | + | 0.265223i | \(0.914555\pi\) | |||||||
\(798\) | −7.06608 | − | 4.00658i | −0.250137 | − | 0.141832i | ||||
\(799\) | −20.5933 | + | 11.8896i | −0.728539 | + | 0.420622i | ||||
\(800\) | 1.25335 | − | 4.84036i | 0.0443127 | − | 0.171133i | ||||
\(801\) | −7.25859 | − | 21.2101i | −0.256470 | − | 0.749424i | ||||
\(802\) | −1.08321 | + | 6.83915i | −0.0382496 | + | 0.241499i | ||||
\(803\) | −6.26594 | + | 9.64869i | −0.221120 | + | 0.340495i | ||||
\(804\) | 3.37110 | + | 8.58174i | 0.118890 | + | 0.302654i | ||||
\(805\) | −24.5594 | + | 55.7927i | −0.865604 | + | 1.96643i | ||||
\(806\) | −0.785537 | + | 3.69566i | −0.0276694 | + | 0.130174i | ||||
\(807\) | −23.1772 | − | 16.5651i | −0.815876 | − | 0.583119i | ||||
\(808\) | 15.3503 | − | 0.804473i | 0.540020 | − | 0.0283013i | ||||
\(809\) | −33.0646 | − | 24.0228i | −1.16249 | − | 0.844598i | −0.172399 | − | 0.985027i | \(-0.555152\pi\) |
−0.990091 | + | 0.140429i | \(0.955152\pi\) | |||||||
\(810\) | 19.2426 | − | 5.89247i | 0.676117 | − | 0.207040i | ||||
\(811\) | −1.55392 | + | 1.12899i | −0.0545654 | + | 0.0396441i | −0.614734 | − | 0.788735i | \(-0.710736\pi\) |
0.560168 | + | 0.828379i | \(0.310736\pi\) | |||||||
\(812\) | −0.666960 | + | 0.540094i | −0.0234057 | + | 0.0189536i | ||||
\(813\) | 10.5121 | + | 31.5160i | 0.368677 | + | 1.10532i | ||||
\(814\) | −5.76123 | + | 0.605529i | −0.201931 | + | 0.0212238i | ||||
\(815\) | −23.0402 | + | 18.8189i | −0.807064 | + | 0.659197i | ||||
\(816\) | 3.44873 | − | 0.207674i | 0.120730 | − | 0.00727004i | ||||
\(817\) | 0.193413 | + | 3.69054i | 0.00676666 | + | 0.129116i | ||||
\(818\) | −11.8633 | + | 11.8633i | −0.414791 | + | 0.414791i | ||||
\(819\) | 7.43893 | − | 5.58370i | 0.259937 | − | 0.195110i | ||||
\(820\) | 2.79908 | + | 25.5937i | 0.0977482 | + | 0.893772i | ||||
\(821\) | −3.28429 | − | 15.4514i | −0.114623 | − | 0.539257i | −0.997563 | − | 0.0697717i | \(-0.977773\pi\) |
0.882940 | − | 0.469485i | \(-0.155560\pi\) | |||||||
\(822\) | 20.6238 | − | 2.33011i | 0.719337 | − | 0.0812720i | ||||
\(823\) | −8.88853 | + | 10.9764i | −0.309835 | + | 0.382614i | −0.908149 | − | 0.418648i | \(-0.862504\pi\) |
0.598314 | + | 0.801262i | \(0.295838\pi\) | |||||||
\(824\) | −0.634335 | + | 1.09870i | −0.0220981 | + | 0.0382750i | ||||
\(825\) | 15.8828 | + | 4.87742i | 0.552967 | + | 0.169810i | ||||
\(826\) | 5.50891 | + | 9.54172i | 0.191680 | + | 0.331999i | ||||
\(827\) | 13.8640 | + | 2.19585i | 0.482099 | + | 0.0763571i | 0.392754 | − | 0.919644i | \(-0.371522\pi\) |
0.0893456 | + | 0.996001i | \(0.471522\pi\) | |||||||
\(828\) | 5.88623 | − | 23.4204i | 0.204561 | − | 0.813915i | ||||
\(829\) | −19.5548 | − | 6.35373i | −0.679165 | − | 0.220674i | −0.0509353 | − | 0.998702i | \(-0.516220\pi\) |
−0.628230 | + | 0.778028i | \(0.716220\pi\) | |||||||
\(830\) | −10.8633 | − | 7.82295i | −0.377071 | − | 0.271538i | ||||
\(831\) | −5.17603 | + | 8.10788i | −0.179554 | + | 0.281259i | ||||
\(832\) | 0.236942 | + | 0.884281i | 0.00821450 | + | 0.0306569i | ||||
\(833\) | −7.47770 | + | 4.85607i | −0.259087 | + | 0.168253i | ||||
\(834\) | −29.0330 | − | 14.5095i | −1.00533 | − | 0.502421i | ||||
\(835\) | −13.9141 | + | 27.5948i | −0.481519 | + | 0.954959i | ||||
\(836\) | 1.56155 | + | 2.14929i | 0.0540075 | + | 0.0743349i | ||||
\(837\) | 2.73904 | + | 21.2692i | 0.0946752 | + | 0.735171i | ||||
\(838\) | −0.112932 | − | 0.713022i | −0.00390116 | − | 0.0246309i | ||||
\(839\) | 13.2116 | + | 5.88216i | 0.456114 | + | 0.203075i | 0.621916 | − | 0.783084i | \(-0.286355\pi\) |
−0.165802 | + | 0.986159i | \(0.553021\pi\) | |||||||
\(840\) | −5.47842 | − | 11.9178i | −0.189024 | − | 0.411204i | ||||
\(841\) | −26.4342 | + | 11.7692i | −0.911523 | + | 0.405836i | ||||
\(842\) | −10.1346 | − | 15.6060i | −0.349262 | − | 0.537817i | ||||
\(843\) | 12.0974 | + | 1.17635i | 0.416657 | + | 0.0405155i | ||||
\(844\) | −1.99405 | − | 1.79545i | −0.0686379 | − | 0.0618018i | ||||
\(845\) | −5.54200 | + | 26.6242i | −0.190651 | + | 0.915899i | ||||
\(846\) | −31.2462 | − | 17.3971i | −1.07427 | − | 0.598123i | ||||
\(847\) | 11.2537 | + | 22.0867i | 0.386682 | + | 0.758907i | ||||
\(848\) | −10.9716 | + | 4.21162i | −0.376768 | + | 0.144628i | ||||
\(849\) | −15.9014 | − | 5.96238i | −0.545736 | − | 0.204628i | ||||
\(850\) | −5.79417 | + | 8.11797i | −0.198738 | + | 0.278444i | ||||
\(851\) | −21.0494 | − | 12.1529i | −0.721566 | − | 0.416596i | ||||
\(852\) | −0.919703 | + | 1.62200i | −0.0315085 | + | 0.0555690i | ||||
\(853\) | −44.2480 | − | 28.7350i | −1.51502 | − | 0.983867i | −0.991248 | − | 0.132011i | \(-0.957857\pi\) |
−0.523775 | − | 0.851857i | \(-0.675477\pi\) | |||||||
\(854\) | 8.36337 | − | 25.7398i | 0.286189 | − | 0.880798i | ||||
\(855\) | −7.95127 | + | 4.80285i | −0.271928 | + | 0.164254i | ||||
\(856\) | 5.97727 | + | 18.3961i | 0.204299 | + | 0.628767i | ||||
\(857\) | 8.78741 | − | 32.7950i | 0.300172 | − | 1.12026i | −0.636850 | − | 0.770988i | \(-0.719763\pi\) |
0.937022 | − | 0.349270i | \(-0.113570\pi\) | |||||||
\(858\) | −2.97059 | + | 0.655631i | −0.101414 | + | 0.0223829i | ||||
\(859\) | −10.6206 | − | 23.8544i | −0.362372 | − | 0.813901i | −0.999084 | − | 0.0427987i | \(-0.986373\pi\) |
0.636712 | − | 0.771102i | \(-0.280294\pi\) | |||||||
\(860\) | −3.22905 | + | 5.01846i | −0.110110 | + | 0.171128i | ||||
\(861\) | 48.1293 | + | 47.3857i | 1.64024 | + | 1.61490i | ||||
\(862\) | −3.29239 | − | 4.06576i | −0.112139 | − | 0.138480i | ||||
\(863\) | −10.0600 | + | 1.59335i | −0.342447 | + | 0.0542383i | −0.325289 | − | 0.945614i | \(-0.605462\pi\) |
−0.0171577 | + | 0.999853i | \(0.505462\pi\) | |||||||
\(864\) | 2.93102 | + | 4.29058i | 0.0997155 | + | 0.145969i | ||||
\(865\) | 16.5749 | + | 13.3069i | 0.563564 | + | 0.452447i | ||||
\(866\) | 39.6780 | + | 4.17032i | 1.34831 | + | 0.141713i | ||||
\(867\) | 21.5029 | + | 6.80210i | 0.730277 | + | 0.231012i | ||||
\(868\) | 13.5009 | − | 3.61756i | 0.458251 | − | 0.122788i | ||||
\(869\) | 18.8574 | + | 4.00827i | 0.639694 | + | 0.135971i | ||||
\(870\) | 0.165150 | + | 0.967446i | 0.00559912 | + | 0.0327995i | ||||
\(871\) | 4.76680 | − | 1.01321i | 0.161517 | − | 0.0343314i | ||||
\(872\) | −12.9235 | + | 6.58484i | −0.437644 | + | 0.222991i | ||||
\(873\) | 11.7161 | + | 14.0162i | 0.396529 | + | 0.474376i | ||||
\(874\) | 11.1467i | 0.377044i | ||||||||
\(875\) | 36.6954 | + | 9.33703i | 1.24053 | + | 0.315649i | ||||
\(876\) | 3.64663 | − | 9.72542i | 0.123208 | − | 0.328591i | ||||
\(877\) | 39.6872 | + | 32.1381i | 1.34014 | + | 1.08523i | 0.988843 | + | 0.148964i | \(0.0475937\pi\) |
0.351300 | + | 0.936263i | \(0.385740\pi\) | |||||||
\(878\) | 19.4970 | + | 1.02179i | 0.657992 | + | 0.0344839i | ||||
\(879\) | −36.9191 | − | 29.4236i | −1.24525 | − | 0.992433i | ||||
\(880\) | 0.0180741 | + | 4.28988i | 0.000609278 | + | 0.144612i | ||||
\(881\) | 17.8919 | − | 5.81344i | 0.602795 | − | 0.195860i | 0.00830830 | − | 0.999965i | \(-0.497355\pi\) |
0.594487 | + | 0.804106i | \(0.297355\pi\) | |||||||
\(882\) | −12.0413 | − | 5.90104i | −0.405452 | − | 0.198698i | ||||
\(883\) | −11.7384 | + | 23.0379i | −0.395029 | + | 0.775287i | −0.999777 | − | 0.0211296i | \(-0.993274\pi\) |
0.604748 | + | 0.796417i | \(0.293274\pi\) | |||||||
\(884\) | 0.190882 | − | 1.81612i | 0.00642006 | − | 0.0610828i | ||||
\(885\) | 12.5989 | − | 0.151171i | 0.423506 | − | 0.00508157i | ||||
\(886\) | −3.39520 | − | 32.3032i | −0.114064 | − | 1.08525i | ||||
\(887\) | −34.6262 | − | 13.2918i | −1.16263 | − | 0.446294i | −0.300901 | − | 0.953655i | \(-0.597287\pi\) |
−0.861733 | + | 0.507362i | \(0.830621\pi\) | |||||||
\(888\) | 4.96124 | − | 1.65481i | 0.166488 | − | 0.0555319i | ||||
\(889\) | 10.3077 | − | 23.1514i | 0.345708 | − | 0.776472i | ||||
\(890\) | −0.804184 | + | 16.6899i | −0.0269563 | + | 0.559446i | ||||
\(891\) | −14.6773 | + | 9.09468i | −0.491707 | + | 0.304683i | ||||
\(892\) | 12.9646 | + | 6.60580i | 0.434087 | + | 0.221179i | ||||
\(893\) | 15.9452 | + | 4.27250i | 0.533585 | + | 0.142974i | ||||
\(894\) | 10.6978 | − | 5.55610i | 0.357786 | − | 0.185824i | ||||
\(895\) | 54.9901 | − | 11.9309i | 1.83812 | − | 0.398805i | ||||
\(896\) | 2.51682 | − | 2.26616i | 0.0840811 | − | 0.0757069i | ||||
\(897\) | −11.7004 | − | 5.10058i | −0.390665 | − | 0.170303i | ||||
\(898\) | −9.19719 | − | 23.9595i | −0.306914 | − | 0.799539i | ||||
\(899\) | −1.04583 | −0.0348803 | ||||||||
\(900\) | −14.9512 | − | 1.20954i | −0.498372 | − | 0.0403178i | ||||
\(901\) | 23.4425 | 0.780983 | ||||||||
\(902\) | −7.91633 | − | 20.6228i | −0.263585 | − | 0.686663i | ||||
\(903\) | 1.75754 | + | 15.5559i | 0.0584873 | + | 0.517669i | ||||
\(904\) | 5.27186 | − | 4.74680i | 0.175339 | − | 0.157876i | ||||
\(905\) | −0.340054 | + | 0.380883i | −0.0113038 | + | 0.0126610i | ||||
\(906\) | 1.31445 | − | 29.4692i | 0.0436698 | − | 0.979047i | ||||
\(907\) | −6.63180 | − | 1.77699i | −0.220205 | − | 0.0590039i | 0.147029 | − | 0.989132i | \(-0.453029\pi\) |
−0.367235 | + | 0.930128i | \(0.619695\pi\) | |||||||
\(908\) | 4.81941 | + | 2.45561i | 0.159938 | + | 0.0814923i | ||||
\(909\) | −10.2888 | − | 44.9515i | −0.341256 | − | 1.49095i | ||||
\(910\) | −6.68898 | + | 1.82255i | −0.221737 | + | 0.0604168i | ||||
\(911\) | −2.07099 | + | 4.65152i | −0.0686149 | + | 0.154112i | −0.944597 | − | 0.328231i | \(-0.893547\pi\) |
0.875982 | + | 0.482343i | \(0.160214\pi\) | |||||||
\(912\) | −1.79485 | − | 1.59097i | −0.0594335 | − | 0.0526822i | ||||
\(913\) | 10.7229 | + | 4.11614i | 0.354876 | + | 0.136224i | ||||
\(914\) | 3.19074 | + | 30.3578i | 0.105540 | + | 1.00415i | ||||
\(915\) | −20.9843 | − | 22.7505i | −0.693720 | − | 0.752108i | ||||
\(916\) | −2.09440 | + | 19.9269i | −0.0692008 | + | 0.658402i | ||||
\(917\) | −24.1548 | + | 47.4064i | −0.797660 | + | 1.56550i | ||||
\(918\) | −2.39116 | − | 10.0853i | −0.0789202 | − | 0.332866i | ||||
\(919\) | −17.5973 | + | 5.71770i | −0.580481 | + | 0.188610i | −0.584516 | − | 0.811382i | \(-0.698716\pi\) |
0.00403517 | + | 0.999992i | \(0.498716\pi\) | |||||||
\(920\) | −10.5183 | + | 14.6063i | −0.346780 | + | 0.481555i | ||||
\(921\) | −5.08480 | + | 33.8054i | −0.167550 | + | 1.11393i | ||||
\(922\) | −23.7138 | − | 1.24279i | −0.780973 | − | 0.0409291i | ||||
\(923\) | 0.765906 | + | 0.620218i | 0.0252101 | + | 0.0204147i | ||||
\(924\) | 7.15019 | + | 8.69053i | 0.235224 | + | 0.285897i | ||||
\(925\) | −5.29152 | + | 14.1399i | −0.173984 | + | 0.464916i | ||||
\(926\) | − | 0.395745i | − | 0.0130050i | ||||||
\(927\) | 3.57402 | + | 1.30846i | 0.117386 | + | 0.0429756i | ||||
\(928\) | −0.225787 | + | 0.115044i | −0.00741183 | + | 0.00377651i | ||||
\(929\) | 24.1013 | − | 5.12289i | 0.790738 | − | 0.168077i | 0.205198 | − | 0.978720i | \(-0.434216\pi\) |
0.585540 | + | 0.810644i | \(0.300883\pi\) | |||||||
\(930\) | 3.95144 | − | 15.4879i | 0.129573 | − | 0.507869i | ||||
\(931\) | 6.05439 | + | 1.28690i | 0.198425 | + | 0.0421765i | ||||
\(932\) | −13.5857 | + | 3.64029i | −0.445015 | + | 0.119242i | ||||
\(933\) | −32.6342 | + | 29.8473i | −1.06840 | + | 0.977156i | ||||
\(934\) | 9.73721 | + | 1.02342i | 0.318611 | + | 0.0334874i | ||||
\(935\) | 3.03295 | − | 8.00171i | 0.0991881 | − | 0.261684i | ||||
\(936\) | 2.49129 | − | 1.15600i | 0.0814303 | − | 0.0377850i | ||||
\(937\) | −4.93744 | + | 0.782013i | −0.161299 | + | 0.0255473i | −0.236562 | − | 0.971616i | \(-0.576021\pi\) |
0.0752625 | + | 0.997164i | \(0.476021\pi\) | |||||||
\(938\) | −11.3456 | − | 14.0106i | −0.370446 | − | 0.457463i | ||||
\(939\) | 1.06911 | − | 4.11794i | 0.0348890 | − | 0.134384i | ||||
\(940\) | 16.8623 | + | 20.6448i | 0.549989 | + | 0.673359i | ||||
\(941\) | −2.23382 | − | 5.01723i | −0.0728203 | − | 0.163557i | 0.873468 | − | 0.486882i | \(-0.161866\pi\) |
−0.946288 | + | 0.323325i | \(0.895199\pi\) | |||||||
\(942\) | −11.0544 | + | 34.9454i | −0.360173 | + | 1.13858i | ||||
\(943\) | 23.9884 | − | 89.5258i | 0.781168 | − | 2.91536i | ||||
\(944\) | 1.00531 | + | 3.09402i | 0.0327200 | + | 0.100702i | ||||
\(945\) | −32.3985 | + | 22.3331i | −1.05392 | + | 0.726497i | ||||
\(946\) | 1.58219 | − | 4.86947i | 0.0514413 | − | 0.158320i | ||||
\(947\) | 10.9163 | + | 7.08914i | 0.354733 | + | 0.230366i | 0.709686 | − | 0.704518i | \(-0.248837\pi\) |
−0.354954 | + | 0.934884i | \(0.615503\pi\) | |||||||
\(948\) | −17.4045 | + | 0.135498i | −0.565272 | + | 0.00440076i | ||||
\(949\) | −4.75434 | − | 2.74492i | −0.154332 | − | 0.0891039i | ||||
\(950\) | 6.82918 | − | 1.14070i | 0.221568 | − | 0.0370093i | ||||
\(951\) | 12.8498 | − | 10.5723i | 0.416684 | − | 0.342829i | ||||
\(952\) | −6.30688 | + | 2.42098i | −0.204407 | + | 0.0784646i | ||||
\(953\) | −5.97985 | − | 11.7361i | −0.193706 | − | 0.380170i | 0.773641 | − | 0.633624i | \(-0.218433\pi\) |
−0.967347 | + | 0.253454i | \(0.918433\pi\) | |||||||
\(954\) | 18.1016 | + | 30.2550i | 0.586060 | + | 0.979542i | ||||
\(955\) | 24.5165 | + | 54.4464i | 0.793334 | + | 1.76184i | ||||
\(956\) | −1.14343 | − | 1.02955i | −0.0369812 | − | 0.0332980i | ||||
\(957\) | −0.348475 | − | 0.766571i | −0.0112646 | − | 0.0247797i | ||||
\(958\) | −0.0420664 | − | 0.0647766i | −0.00135910 | − | 0.00209284i | ||||
\(959\) | −37.0741 | + | 16.5065i | −1.19719 | + | 0.533021i | ||||
\(960\) | −0.850633 | − | 3.77842i | −0.0274541 | − | 0.121948i | ||||
\(961\) | −12.7598 | − | 5.68103i | −0.411607 | − | 0.183259i | ||||
\(962\) | −0.432430 | − | 2.73025i | −0.0139421 | − | 0.0880269i | ||||
\(963\) | 51.2874 | − | 27.1462i | 1.65271 | − | 0.874774i | ||||
\(964\) | 8.48167 | + | 11.6740i | 0.273176 | + | 0.375995i | ||||
\(965\) | 2.69835 | + | 2.67571i | 0.0868629 | + | 0.0861340i | ||||
\(966\) | 2.83825 | + | 47.1332i | 0.0913191 | + | 1.51649i | ||||
\(967\) | −34.6432 | + | 22.4975i | −1.11405 | + | 0.723472i | −0.964184 | − | 0.265235i | \(-0.914551\pi\) |
−0.149865 | + | 0.988706i | \(0.547884\pi\) | |||||||
\(968\) | 1.89438 | + | 7.06992i | 0.0608876 | + | 0.227236i | ||||
\(969\) | 2.20515 | + | 4.24581i | 0.0708396 | + | 0.136395i | ||||
\(970\) | −4.26215 | − | 12.9319i | −0.136849 | − | 0.415218i | ||||
\(971\) | −29.2275 | − | 9.49659i | −0.937955 | − | 0.304760i | −0.200143 | − | 0.979767i | \(-0.564141\pi\) |
−0.737812 | + | 0.675007i | \(0.764141\pi\) | |||||||
\(972\) | 11.1698 | − | 10.8736i | 0.358271 | − | 0.348772i | ||||
\(973\) | 62.6819 | + | 9.92784i | 2.00949 | + | 0.318272i | ||||
\(974\) | 4.21087 | + | 7.29344i | 0.134925 | + | 0.233697i | ||||
\(975\) | −1.92757 | + | 7.69036i | −0.0617316 | + | 0.246289i | ||||
\(976\) | 3.99568 | − | 6.92072i | 0.127899 | − | 0.221527i | ||||
\(977\) | 13.1536 | − | 16.2433i | 0.420820 | − | 0.519669i | −0.522012 | − | 0.852938i | \(-0.674818\pi\) |
0.942832 | + | 0.333269i | \(0.108152\pi\) | |||||||
\(978\) | −9.20846 | + | 21.1236i | −0.294454 | + | 0.675458i | ||||
\(979\) | −2.98068 | − | 14.0230i | −0.0952628 | − | 0.448176i | ||||
\(980\) | 6.71911 | + | 7.39939i | 0.214634 | + | 0.236365i | ||||
\(981\) | 26.1213 | + | 34.8003i | 0.833989 | + | 1.11109i | ||||
\(982\) | −10.2832 | + | 10.2832i | −0.328151 | + | 0.328151i | ||||
\(983\) | 1.39962 | + | 26.7064i | 0.0446410 | + | 0.851801i | 0.925576 | + | 0.378563i | \(0.123582\pi\) |
−0.880935 | + | 0.473238i | \(0.843085\pi\) | |||||||
\(984\) | 10.9916 | + | 16.6406i | 0.350401 | + | 0.530482i | ||||
\(985\) | 28.3852 | + | 18.2640i | 0.904426 | + | 0.581939i | ||||
\(986\) | 0.502709 | − | 0.0528369i | 0.0160095 | − | 0.00168267i | ||||
\(987\) | 68.5109 | + | 14.0059i | 2.18073 | + | 0.445813i | ||||
\(988\) | −0.985197 | + | 0.797797i | −0.0313433 | + | 0.0253813i | ||||
\(989\) | 17.3797 | − | 12.6271i | 0.552643 | − | 0.401518i | ||||
\(990\) | 12.6690 | − | 2.26433i | 0.402647 | − | 0.0719653i | ||||
\(991\) | 33.1929 | + | 24.1161i | 1.05441 | + | 0.766072i | 0.973046 | − | 0.230613i | \(-0.0740730\pi\) |
0.0813621 | + | 0.996685i | \(0.474073\pi\) | |||||||
\(992\) | 4.12141 | − | 0.215994i | 0.130855 | − | 0.00685781i | ||||
\(993\) | 4.89559 | − | 50.3457i | 0.155357 | − | 1.59767i | ||||
\(994\) | 0.758026 | − | 3.56623i | 0.0240431 | − | 0.113114i | ||||
\(995\) | −15.6091 | + | 9.09984i | −0.494843 | + | 0.288484i | ||||
\(996\) | −10.2541 | − | 1.54236i | −0.324915 | − | 0.0488716i | ||||
\(997\) | −27.0724 | + | 41.6878i | −0.857391 | + | 1.32027i | 0.0885986 | + | 0.996067i | \(0.471761\pi\) |
−0.945989 | + | 0.324198i | \(0.894906\pi\) | |||||||
\(998\) | 1.45920 | − | 9.21305i | 0.0461903 | − | 0.291634i | ||||
\(999\) | −7.44756 | − | 13.8096i | −0.235630 | − | 0.436916i |
(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 | 450.2.w.a.23.13 | ✓ | 480 | |
9.2 | odd | 6 | inner | 450.2.w.a.173.28 | yes | 480 | |
25.12 | odd | 20 | inner | 450.2.w.a.437.28 | yes | 480 | |
225.137 | even | 60 | inner | 450.2.w.a.137.13 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.w.a.23.13 | ✓ | 480 | 1.1 | even | 1 | trivial | |
450.2.w.a.137.13 | yes | 480 | 225.137 | even | 60 | inner | |
450.2.w.a.173.28 | yes | 480 | 9.2 | odd | 6 | inner | |
450.2.w.a.437.28 | yes | 480 | 25.12 | odd | 20 | inner |