Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.7 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.7 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.982844 | − | 1.01687i | −0.694975 | − | 0.719033i | ||||
\(3\) | −0.987527 | − | 1.42295i | −0.570149 | − | 0.821541i | ||||
\(4\) | −0.0680365 | + | 1.99884i | −0.0340183 | + | 0.999421i | ||||
\(5\) | 1.77783 | + | 3.07929i | 0.795070 | + | 1.37710i | 0.922795 | + | 0.385292i | \(0.125899\pi\) |
−0.127724 | + | 0.991810i | \(0.540767\pi\) | |||||||
\(6\) | −0.476367 | + | 2.40272i | −0.194476 | + | 0.980907i | ||||
\(7\) | 0.793456 | + | 2.52397i | 0.299898 | + | 0.953971i | ||||
\(8\) | 2.09943 | − | 1.89537i | 0.742259 | − | 0.670113i | ||||
\(9\) | −1.04958 | + | 2.81041i | −0.349860 | + | 0.936802i | ||||
\(10\) | 1.38390 | − | 4.83428i | 0.437628 | − | 1.52873i | ||||
\(11\) | −0.396703 | − | 0.229036i | −0.119610 | − | 0.0690571i | 0.439001 | − | 0.898486i | \(-0.355332\pi\) |
−0.558612 | + | 0.829429i | \(0.688666\pi\) | |||||||
\(12\) | 2.91144 | − | 1.87710i | 0.840461 | − | 0.541872i | ||||
\(13\) | − | 0.799063i | − | 0.221620i | −0.993842 | − | 0.110810i | \(-0.964655\pi\) | ||
0.993842 | − | 0.110810i | \(-0.0353445\pi\) | |||||||
\(14\) | 1.78670 | − | 3.28751i | 0.477516 | − | 0.878623i | ||||
\(15\) | 2.62603 | − | 5.57065i | 0.678037 | − | 1.43834i | ||||
\(16\) | −3.99074 | − | 0.271989i | −0.997686 | − | 0.0679971i | ||||
\(17\) | 5.48456 | + | 3.16651i | 1.33020 | + | 0.767993i | 0.985330 | − | 0.170657i | \(-0.0545891\pi\) |
0.344872 | + | 0.938650i | \(0.387922\pi\) | |||||||
\(18\) | 3.88938 | − | 1.69491i | 0.916736 | − | 0.399494i | ||||
\(19\) | −2.61696 | − | 4.53272i | −0.600373 | − | 1.03988i | −0.992764 | − | 0.120078i | \(-0.961686\pi\) |
0.392392 | − | 0.919798i | \(-0.371648\pi\) | |||||||
\(20\) | −6.27598 | + | 3.34410i | −1.40335 | + | 0.747763i | ||||
\(21\) | 2.80793 | − | 3.62154i | 0.612740 | − | 0.790285i | ||||
\(22\) | 0.156997 | + | 0.628501i | 0.0334719 | + | 0.133997i | ||||
\(23\) | 1.55053 | + | 2.68559i | 0.323307 | + | 0.559985i | 0.981168 | − | 0.193155i | \(-0.0618719\pi\) |
−0.657861 | + | 0.753139i | \(0.728539\pi\) | |||||||
\(24\) | −4.77025 | − | 1.11565i | −0.973724 | − | 0.227732i | ||||
\(25\) | −3.82137 | + | 6.61880i | −0.764273 | + | 1.32376i | ||||
\(26\) | −0.812540 | + | 0.785354i | −0.159352 | + | 0.154021i | ||||
\(27\) | 5.03556 | − | 1.28185i | 0.969094 | − | 0.246693i | ||||
\(28\) | −5.09900 | + | 1.41427i | −0.963621 | + | 0.267272i | ||||
\(29\) | −2.60340 | −0.483440 | −0.241720 | − | 0.970346i | \(-0.577712\pi\) | ||||
−0.241720 | + | 0.970346i | \(0.577712\pi\) | |||||||
\(30\) | −8.24559 | + | 2.80476i | −1.50543 | + | 0.512077i | ||||
\(31\) | 4.42520 | + | 2.55489i | 0.794790 | + | 0.458872i | 0.841646 | − | 0.540030i | \(-0.181587\pi\) |
−0.0468563 | + | 0.998902i | \(0.514920\pi\) | |||||||
\(32\) | 3.64570 | + | 4.32538i | 0.644475 | + | 0.764626i | ||||
\(33\) | 0.0658472 | + | 0.790668i | 0.0114625 | + | 0.137638i | ||||
\(34\) | −2.17055 | − | 8.68926i | −0.372245 | − | 1.49020i | ||||
\(35\) | −6.36142 | + | 6.93048i | −1.07528 | + | 1.17146i | ||||
\(36\) | −5.54615 | − | 2.28915i | −0.924358 | − | 0.381526i | ||||
\(37\) | −2.89424 | + | 1.67099i | −0.475810 | + | 0.274709i | −0.718669 | − | 0.695352i | \(-0.755248\pi\) |
0.242859 | + | 0.970062i | \(0.421915\pi\) | |||||||
\(38\) | −2.03710 | + | 7.11606i | −0.330461 | + | 1.15438i | ||||
\(39\) | −1.13703 | + | 0.789096i | −0.182070 | + | 0.126357i | ||||
\(40\) | 9.56881 | + | 3.09511i | 1.51296 | + | 0.489380i | ||||
\(41\) | − | 10.1452i | − | 1.58441i | −0.610256 | − | 0.792205i | \(-0.708933\pi\) | ||
0.610256 | − | 0.792205i | \(-0.291067\pi\) | |||||||
\(42\) | −6.44238 | + | 0.704118i | −0.994080 | + | 0.108648i | ||||
\(43\) | 3.56359 | 0.543442 | 0.271721 | − | 0.962376i | \(-0.412407\pi\) | ||||
0.271721 | + | 0.962376i | \(0.412407\pi\) | |||||||
\(44\) | 0.484798 | − | 0.777363i | 0.0730860 | − | 0.117192i | ||||
\(45\) | −10.5200 | + | 1.76446i | −1.56824 | + | 0.263031i | ||||
\(46\) | 1.20696 | − | 4.21620i | 0.177957 | − | 0.621644i | ||||
\(47\) | −2.15923 | − | 3.73989i | −0.314956 | − | 0.545519i | 0.664472 | − | 0.747313i | \(-0.268656\pi\) |
−0.979428 | + | 0.201794i | \(0.935323\pi\) | |||||||
\(48\) | 3.55394 | + | 5.94723i | 0.512967 | + | 0.858408i | ||||
\(49\) | −5.74086 | + | 4.00532i | −0.820122 | + | 0.572188i | ||||
\(50\) | 10.4862 | − | 2.61943i | 1.48298 | − | 0.370443i | ||||
\(51\) | −0.910362 | − | 10.9313i | −0.127476 | − | 1.53069i | ||||
\(52\) | 1.59720 | + | 0.0543654i | 0.221492 | + | 0.00753913i | ||||
\(53\) | 1.16913 | − | 2.02499i | 0.160592 | − | 0.278154i | −0.774489 | − | 0.632587i | \(-0.781993\pi\) |
0.935081 | + | 0.354433i | \(0.115326\pi\) | |||||||
\(54\) | −6.25264 | − | 3.86063i | −0.850877 | − | 0.525365i | ||||
\(55\) | − | 1.62875i | − | 0.219621i | ||||||
\(56\) | 6.44965 | + | 3.79500i | 0.861871 | + | 0.507128i | ||||
\(57\) | −3.86551 | + | 8.19999i | −0.511999 | + | 1.08612i | ||||
\(58\) | 2.55874 | + | 2.64731i | 0.335979 | + | 0.347609i | ||||
\(59\) | −1.49741 | − | 0.864528i | −0.194946 | − | 0.112552i | 0.399350 | − | 0.916798i | \(-0.369236\pi\) |
−0.594296 | + | 0.804247i | \(0.702569\pi\) | |||||||
\(60\) | 10.9562 | + | 5.62802i | 1.41444 | + | 0.726575i | ||||
\(61\) | 4.60841 | − | 2.66067i | 0.590047 | − | 0.340664i | −0.175069 | − | 0.984556i | \(-0.556015\pi\) |
0.765116 | + | 0.643892i | \(0.222682\pi\) | |||||||
\(62\) | −1.75130 | − | 7.01090i | −0.222415 | − | 0.890385i | ||||
\(63\) | −7.92618 | − | 0.419175i | −0.998605 | − | 0.0528111i | ||||
\(64\) | 0.815178 | − | 7.95836i | 0.101897 | − | 0.994795i | ||||
\(65\) | 2.46055 | − | 1.42060i | 0.305193 | − | 0.176204i | ||||
\(66\) | 0.739287 | − | 0.844061i | 0.0909999 | − | 0.103897i | ||||
\(67\) | 0.00979145 | − | 0.0169593i | 0.00119622 | − | 0.00207191i | −0.865427 | − | 0.501036i | \(-0.832953\pi\) |
0.866623 | + | 0.498964i | \(0.166286\pi\) | |||||||
\(68\) | −6.70251 | + | 10.7473i | −0.812799 | + | 1.30331i | ||||
\(69\) | 2.29028 | − | 4.85842i | 0.275717 | − | 0.584885i | ||||
\(70\) | 13.2997 | − | 0.342860i | 1.58961 | − | 0.0409796i | ||||
\(71\) | −9.04022 | −1.07288 | −0.536439 | − | 0.843939i | \(-0.680231\pi\) | ||||
−0.536439 | + | 0.843939i | \(0.680231\pi\) | |||||||
\(72\) | 3.12323 | + | 7.88958i | 0.368077 | + | 0.929795i | ||||
\(73\) | 4.15674 | − | 7.19969i | 0.486510 | − | 0.842660i | −0.513370 | − | 0.858167i | \(-0.671603\pi\) |
0.999880 | + | 0.0155078i | \(0.00493650\pi\) | |||||||
\(74\) | 4.54376 | + | 1.30074i | 0.528202 | + | 0.151207i | ||||
\(75\) | 13.1919 | − | 1.09863i | 1.52327 | − | 0.126859i | ||||
\(76\) | 9.23823 | − | 4.92251i | 1.05970 | − | 0.564651i | ||||
\(77\) | 0.263315 | − | 1.18300i | 0.0300076 | − | 0.134815i | ||||
\(78\) | 1.91993 | + | 0.380647i | 0.217389 | + | 0.0430998i | ||||
\(79\) | −10.8825 | + | 6.28304i | −1.22438 | + | 0.706897i | −0.965849 | − | 0.259105i | \(-0.916572\pi\) |
−0.258533 | + | 0.966003i | \(0.583239\pi\) | |||||||
\(80\) | −6.25733 | − | 12.7722i | −0.699591 | − | 1.42798i | ||||
\(81\) | −6.79677 | − | 5.89949i | −0.755196 | − | 0.655499i | ||||
\(82\) | −10.3163 | + | 9.97112i | −1.13924 | + | 1.10113i | ||||
\(83\) | − | 0.694004i | − | 0.0761768i | −0.999274 | − | 0.0380884i | \(-0.987873\pi\) | ||
0.999274 | − | 0.0380884i | \(-0.0121268\pi\) | |||||||
\(84\) | 7.04784 | + | 5.85900i | 0.768983 | + | 0.639270i | ||||
\(85\) | 22.5181i | 2.44243i | ||||||||
\(86\) | −3.50245 | − | 3.62369i | −0.377679 | − | 0.390753i | ||||
\(87\) | 2.57093 | + | 3.70452i | 0.275633 | + | 0.397166i | ||||
\(88\) | −1.26696 | + | 0.271052i | −0.135058 | + | 0.0288942i | ||||
\(89\) | 7.02189 | − | 4.05409i | 0.744319 | − | 0.429733i | −0.0793185 | − | 0.996849i | \(-0.525274\pi\) |
0.823638 | + | 0.567116i | \(0.191941\pi\) | |||||||
\(90\) | 12.1338 | + | 8.96329i | 1.27901 | + | 0.944814i | ||||
\(91\) | 2.01681 | − | 0.634021i | 0.211419 | − | 0.0664634i | ||||
\(92\) | −5.47357 | + | 2.91654i | −0.570659 | + | 0.304070i | ||||
\(93\) | −0.734523 | − | 8.81987i | −0.0761664 | − | 0.914578i | ||||
\(94\) | −1.68079 | + | 5.87138i | −0.173360 | + | 0.605586i | ||||
\(95\) | 9.30504 | − | 16.1168i | 0.954677 | − | 1.65355i | ||||
\(96\) | 2.55457 | − | 9.45908i | 0.260725 | − | 0.965413i | ||||
\(97\) | 7.05333 | 0.716157 | 0.358078 | − | 0.933692i | \(-0.383432\pi\) | ||||
0.358078 | + | 0.933692i | \(0.383432\pi\) | |||||||
\(98\) | 9.71524 | + | 1.90109i | 0.981387 | + | 0.192039i | ||||
\(99\) | 1.06006 | − | 0.874504i | 0.106540 | − | 0.0878909i | ||||
\(100\) | −12.9699 | − | 8.08863i | −1.29699 | − | 0.808863i | ||||
\(101\) | 3.34348 | − | 5.79108i | 0.332689 | − | 0.576234i | −0.650349 | − | 0.759635i | \(-0.725378\pi\) |
0.983038 | + | 0.183402i | \(0.0587108\pi\) | |||||||
\(102\) | −10.2209 | + | 11.6695i | −1.01202 | + | 1.15545i | ||||
\(103\) | 5.48751 | − | 3.16822i | 0.540701 | − | 0.312174i | −0.204662 | − | 0.978833i | \(-0.565610\pi\) |
0.745363 | + | 0.666659i | \(0.232276\pi\) | |||||||
\(104\) | −1.51452 | − | 1.67757i | −0.148510 | − | 0.164500i | ||||
\(105\) | 16.1438 | + | 2.20795i | 1.57547 | + | 0.215474i | ||||
\(106\) | −3.20822 | + | 0.801402i | −0.311610 | + | 0.0778390i | ||||
\(107\) | −3.09681 | + | 1.78795i | −0.299380 | + | 0.172847i | −0.642164 | − | 0.766567i | \(-0.721963\pi\) |
0.342784 | + | 0.939414i | \(0.388630\pi\) | |||||||
\(108\) | 2.21962 | + | 10.1525i | 0.213583 | + | 0.976925i | ||||
\(109\) | 0.488061 | + | 0.281782i | 0.0467478 | + | 0.0269899i | 0.523192 | − | 0.852215i | \(-0.324741\pi\) |
−0.476444 | + | 0.879205i | \(0.658074\pi\) | |||||||
\(110\) | −1.65622 | + | 1.60081i | −0.157915 | + | 0.152631i | ||||
\(111\) | 5.23588 | + | 2.46821i | 0.496968 | + | 0.234273i | ||||
\(112\) | −2.47999 | − | 10.2883i | −0.234337 | − | 0.972156i | ||||
\(113\) | 1.41462i | 0.133076i | 0.997784 | + | 0.0665381i | \(0.0211954\pi\) | ||||
−0.997784 | + | 0.0665381i | \(0.978805\pi\) | |||||||
\(114\) | 12.1375 | − | 4.12860i | 1.13678 | − | 0.386679i | ||||
\(115\) | −5.51315 | + | 9.54906i | −0.514104 | + | 0.890454i | ||||
\(116\) | 0.177126 | − | 5.20379i | 0.0164458 | − | 0.483160i | ||||
\(117\) | 2.24569 | + | 0.838680i | 0.207614 | + | 0.0775360i | ||||
\(118\) | 0.592606 | + | 2.37236i | 0.0545538 | + | 0.218393i | ||||
\(119\) | −3.64043 | + | 16.3554i | −0.333718 | + | 1.49929i | ||||
\(120\) | −5.04527 | − | 16.6725i | −0.460568 | − | 1.52198i | ||||
\(121\) | −5.39508 | − | 9.34456i | −0.490462 | − | 0.849506i | ||||
\(122\) | −7.23490 | − | 2.07112i | −0.655017 | − | 0.187511i | ||||
\(123\) | −14.4361 | + | 10.0186i | −1.30166 | + | 0.903350i | ||||
\(124\) | −5.40790 | + | 8.67145i | −0.485644 | + | 0.778720i | ||||
\(125\) | −9.39666 | −0.840463 | ||||||||
\(126\) | 7.36395 | + | 8.47185i | 0.656033 | + | 0.754732i | ||||
\(127\) | − | 15.7043i | − | 1.39353i | −0.717299 | − | 0.696766i | \(-0.754622\pi\) | ||
0.717299 | − | 0.696766i | \(-0.245378\pi\) | |||||||
\(128\) | −8.89378 | + | 6.99290i | −0.786107 | + | 0.618090i | ||||
\(129\) | −3.51914 | − | 5.07081i | −0.309843 | − | 0.446460i | ||||
\(130\) | −3.86289 | − | 1.10582i | −0.338798 | − | 0.0969872i | ||||
\(131\) | 1.16617 | − | 0.673290i | 0.101889 | − | 0.0588256i | −0.448190 | − | 0.893938i | \(-0.647931\pi\) |
0.550079 | + | 0.835113i | \(0.314598\pi\) | |||||||
\(132\) | −1.58490 | + | 0.0778238i | −0.137948 | + | 0.00677370i | ||||
\(133\) | 9.36400 | − | 10.2016i | 0.811961 | − | 0.884595i | ||||
\(134\) | −0.0268688 | + | 0.00671173i | −0.00232111 | + | 0.000579805i | ||||
\(135\) | 12.8996 | + | 13.2270i | 1.11022 | + | 1.13840i | ||||
\(136\) | 17.5161 | − | 3.74739i | 1.50200 | − | 0.321336i | ||||
\(137\) | −7.79136 | − | 4.49834i | −0.665661 | − | 0.384320i | 0.128770 | − | 0.991675i | \(-0.458897\pi\) |
−0.794431 | + | 0.607355i | \(0.792231\pi\) | |||||||
\(138\) | −7.19135 | + | 2.44616i | −0.612168 | + | 0.208231i | ||||
\(139\) | −16.0176 | −1.35859 | −0.679296 | − | 0.733864i | \(-0.737715\pi\) | ||||
−0.679296 | + | 0.733864i | \(0.737715\pi\) | |||||||
\(140\) | −13.4201 | − | 13.1870i | −1.13421 | − | 1.11450i | ||||
\(141\) | −3.18939 | + | 6.76572i | −0.268595 | + | 0.569777i | ||||
\(142\) | 8.88513 | + | 9.19270i | 0.745623 | + | 0.771435i | ||||
\(143\) | −0.183014 | + | 0.316990i | −0.0153044 | + | 0.0265081i | ||||
\(144\) | 4.95300 | − | 10.9301i | 0.412750 | − | 0.910844i | ||||
\(145\) | −4.62841 | − | 8.01664i | −0.384369 | − | 0.665746i | ||||
\(146\) | −11.4065 | + | 2.84931i | −0.944013 | + | 0.235811i | ||||
\(147\) | 11.3686 | + | 4.21360i | 0.937668 | + | 0.347532i | ||||
\(148\) | −3.14313 | − | 5.89882i | −0.258364 | − | 0.484880i | ||||
\(149\) | 3.34348 | + | 5.79108i | 0.273909 | + | 0.474424i | 0.969859 | − | 0.243666i | \(-0.0783501\pi\) |
−0.695951 | + | 0.718090i | \(0.745017\pi\) | |||||||
\(150\) | −14.0828 | − | 12.3347i | −1.14985 | − | 1.00712i | ||||
\(151\) | 3.66278 | + | 2.11471i | 0.298073 | + | 0.172093i | 0.641577 | − | 0.767059i | \(-0.278281\pi\) |
−0.343504 | + | 0.939151i | \(0.611614\pi\) | |||||||
\(152\) | −14.0853 | − | 4.55600i | −1.14247 | − | 0.369540i | ||||
\(153\) | −14.6557 | + | 12.0903i | −1.18484 | + | 0.977446i | ||||
\(154\) | −1.46175 | + | 0.894944i | −0.117791 | + | 0.0721166i | ||||
\(155\) | 18.1687i | 1.45934i | ||||||||
\(156\) | −1.49992 | − | 2.32642i | −0.120090 | − | 0.186263i | ||||
\(157\) | −19.9382 | − | 11.5113i | −1.59124 | − | 0.918702i | −0.993095 | − | 0.117313i | \(-0.962572\pi\) |
−0.598144 | − | 0.801389i | \(-0.704095\pi\) | |||||||
\(158\) | 17.0849 | + | 4.89085i | 1.35920 | + | 0.389095i | ||||
\(159\) | −4.03601 | + | 0.336121i | −0.320077 | + | 0.0266561i | ||||
\(160\) | −6.83766 | + | 18.9160i | −0.540565 | + | 1.49544i | ||||
\(161\) | −5.54808 | + | 6.04438i | −0.437250 | + | 0.476364i | ||||
\(162\) | 0.681165 | + | 12.7097i | 0.0535174 | + | 0.998567i | ||||
\(163\) | 10.4009 | + | 18.0148i | 0.814658 | + | 1.41103i | 0.909573 | + | 0.415544i | \(0.136409\pi\) |
−0.0949145 | + | 0.995485i | \(0.530258\pi\) | |||||||
\(164\) | 20.2786 | + | 0.690242i | 1.58349 | + | 0.0538988i | ||||
\(165\) | −2.31763 | + | 1.60844i | −0.180428 | + | 0.125217i | ||||
\(166\) | −0.705709 | + | 0.682097i | −0.0547737 | + | 0.0529410i | ||||
\(167\) | 7.53905 | 0.583390 | 0.291695 | − | 0.956511i | \(-0.405781\pi\) | ||||
0.291695 | + | 0.956511i | \(0.405781\pi\) | |||||||
\(168\) | −0.969103 | − | 12.9252i | −0.0747680 | − | 0.997201i | ||||
\(169\) | 12.3615 | 0.950885 | ||||||||
\(170\) | 22.8979 | − | 22.1318i | 1.75619 | − | 1.69743i | ||||
\(171\) | 15.4855 | − | 2.59729i | 1.18420 | − | 0.198620i | ||||
\(172\) | −0.242454 | + | 7.12305i | −0.0184869 | + | 0.543127i | ||||
\(173\) | 7.77603 | + | 13.4685i | 0.591201 | + | 1.02399i | 0.994071 | + | 0.108733i | \(0.0346793\pi\) |
−0.402870 | + | 0.915257i | \(0.631987\pi\) | |||||||
\(174\) | 1.24017 | − | 6.25526i | 0.0940174 | − | 0.474210i | ||||
\(175\) | −19.7377 | − | 4.39329i | −1.49203 | − | 0.332102i | ||||
\(176\) | 1.52084 | + | 1.02192i | 0.114638 | + | 0.0770304i | ||||
\(177\) | 0.248549 | + | 2.98448i | 0.0186821 | + | 0.224327i | ||||
\(178\) | −11.0239 | − | 3.15579i | −0.826276 | − | 0.236537i | ||||
\(179\) | −7.81218 | − | 4.51037i | −0.583910 | − | 0.337121i | 0.178776 | − | 0.983890i | \(-0.442786\pi\) |
−0.762686 | + | 0.646769i | \(0.776120\pi\) | |||||||
\(180\) | −2.81114 | − | 21.1480i | −0.209530 | − | 1.57628i | ||||
\(181\) | − | 10.4041i | − | 0.773330i | −0.922220 | − | 0.386665i | \(-0.873627\pi\) | ||
0.922220 | − | 0.386665i | \(-0.126373\pi\) | |||||||
\(182\) | −2.62692 | − | 1.42768i | −0.194721 | − | 0.105827i | ||||
\(183\) | −8.33693 | − | 3.93006i | −0.616284 | − | 0.290519i | ||||
\(184\) | 8.34539 | + | 2.69938i | 0.615231 | + | 0.199001i | ||||
\(185\) | −10.2909 | − | 5.94148i | −0.756605 | − | 0.436826i | ||||
\(186\) | −8.24671 | + | 9.41547i | −0.604678 | + | 0.690375i | ||||
\(187\) | −1.45049 | − | 2.51233i | −0.106071 | − | 0.183720i | ||||
\(188\) | 7.62236 | − | 4.06151i | 0.555918 | − | 0.296216i | ||||
\(189\) | 7.23085 | + | 11.6925i | 0.525967 | + | 0.850505i | ||||
\(190\) | −25.5340 | + | 6.37831i | −1.85243 | + | 0.462731i | ||||
\(191\) | −7.33838 | − | 12.7104i | −0.530986 | − | 0.919695i | −0.999346 | − | 0.0361574i | \(-0.988488\pi\) |
0.468360 | − | 0.883538i | \(-0.344845\pi\) | |||||||
\(192\) | −12.1294 | + | 6.69914i | −0.875362 | + | 0.483469i | ||||
\(193\) | 8.06569 | − | 13.9702i | 0.580581 | − | 1.00560i | −0.414829 | − | 0.909899i | \(-0.636159\pi\) |
0.995411 | − | 0.0956969i | \(-0.0305080\pi\) | |||||||
\(194\) | −6.93232 | − | 7.17230i | −0.497711 | − | 0.514941i | ||||
\(195\) | −4.45130 | − | 2.09836i | −0.318764 | − | 0.150267i | ||||
\(196\) | −7.61541 | − | 11.7476i | −0.543958 | − | 0.839113i | ||||
\(197\) | 21.9480 | 1.56373 | 0.781863 | − | 0.623450i | \(-0.214269\pi\) | ||||
0.781863 | + | 0.623450i | \(0.214269\pi\) | |||||||
\(198\) | −1.93112 | − | 0.218435i | −0.137239 | − | 0.0155235i | ||||
\(199\) | 13.8171 | + | 7.97732i | 0.979470 | + | 0.565497i | 0.902110 | − | 0.431506i | \(-0.142018\pi\) |
0.0773599 | + | 0.997003i | \(0.475351\pi\) | |||||||
\(200\) | 4.52237 | + | 21.1386i | 0.319780 | + | 1.49472i | ||||
\(201\) | −0.0338016 | + | 0.00281501i | −0.00238418 | + | 0.000198555i | ||||
\(202\) | −9.17487 | + | 2.29185i | −0.645542 | + | 0.161254i | ||||
\(203\) | −2.06568 | − | 6.57091i | −0.144983 | − | 0.461188i | ||||
\(204\) | 21.9119 | − | 1.07594i | 1.53414 | − | 0.0753311i | ||||
\(205\) | 31.2400 | − | 18.0364i | 2.18189 | − | 1.25972i | ||||
\(206\) | −8.61503 | − | 2.46621i | −0.600237 | − | 0.171829i | ||||
\(207\) | −9.17500 | + | 1.53887i | −0.637707 | + | 0.106959i | ||||
\(208\) | −0.217336 | + | 3.18885i | −0.0150695 | + | 0.221107i | ||||
\(209\) | 2.39752i | 0.165840i | ||||||||
\(210\) | −13.6216 | − | 18.5862i | −0.939983 | − | 1.28257i | ||||
\(211\) | 20.9923 | 1.44517 | 0.722586 | − | 0.691281i | \(-0.242953\pi\) | ||||
0.722586 | + | 0.691281i | \(0.242953\pi\) | |||||||
\(212\) | 3.96810 | + | 2.47468i | 0.272530 | + | 0.169962i | ||||
\(213\) | 8.92747 | + | 12.8638i | 0.611700 | + | 0.881413i | ||||
\(214\) | 4.86179 | + | 1.39178i | 0.332345 | + | 0.0951398i | ||||
\(215\) | 6.33546 | + | 10.9733i | 0.432074 | + | 0.748375i | ||||
\(216\) | 8.14220 | − | 12.2354i | 0.554007 | − | 0.832512i | ||||
\(217\) | −2.93727 | + | 13.1963i | −0.199395 | + | 0.895821i | ||||
\(218\) | −0.193153 | − | 0.773241i | −0.0130820 | − | 0.0523705i | ||||
\(219\) | −14.3497 | + | 1.19505i | −0.969663 | + | 0.0807539i | ||||
\(220\) | 3.25562 | + | 0.110815i | 0.219494 | + | 0.00747112i | ||||
\(221\) | 2.53024 | − | 4.38251i | 0.170203 | − | 0.294800i | ||||
\(222\) | −2.63621 | − | 7.75006i | −0.176931 | − | 0.520150i | ||||
\(223\) | 7.05072i | 0.472151i | 0.971735 | + | 0.236075i | \(0.0758613\pi\) | ||||
−0.971735 | + | 0.236075i | \(0.924139\pi\) | |||||||
\(224\) | −8.02442 | + | 12.6336i | −0.536154 | + | 0.844120i | ||||
\(225\) | −14.5907 | − | 17.6865i | −0.972713 | − | 1.17910i | ||||
\(226\) | 1.43848 | − | 1.39035i | 0.0956863 | − | 0.0924847i | ||||
\(227\) | 17.9681 | + | 10.3739i | 1.19258 | + | 0.688539i | 0.958892 | − | 0.283771i | \(-0.0915856\pi\) |
0.233693 | + | 0.972310i | \(0.424919\pi\) | |||||||
\(228\) | −16.1275 | − | 8.28444i | −1.06807 | − | 0.548650i | ||||
\(229\) | −19.0453 | + | 10.9958i | −1.25855 | + | 0.726623i | −0.972792 | − | 0.231680i | \(-0.925578\pi\) |
−0.285756 | + | 0.958302i | \(0.592245\pi\) | |||||||
\(230\) | 15.1287 | − | 3.77909i | 0.997556 | − | 0.249186i | ||||
\(231\) | −1.94338 | + | 0.793556i | −0.127865 | + | 0.0522122i | ||||
\(232\) | −5.46565 | + | 4.93440i | −0.358838 | + | 0.323959i | ||||
\(233\) | 15.1401 | − | 8.74112i | 0.991858 | − | 0.572650i | 0.0860289 | − | 0.996293i | \(-0.472582\pi\) |
0.905829 | + | 0.423643i | \(0.139249\pi\) | |||||||
\(234\) | −1.35434 | − | 3.10786i | −0.0885358 | − | 0.203167i | ||||
\(235\) | 7.67748 | − | 13.2978i | 0.500824 | − | 0.867452i | ||||
\(236\) | 1.82993 | − | 2.93426i | 0.119118 | − | 0.191004i | ||||
\(237\) | 19.6873 | + | 9.28065i | 1.27883 | + | 0.602843i | ||||
\(238\) | 20.2092 | − | 12.3729i | 1.30997 | − | 0.802018i | ||||
\(239\) | −6.60546 | −0.427271 | −0.213636 | − | 0.976913i | \(-0.568531\pi\) | ||||
−0.213636 | + | 0.976913i | \(0.568531\pi\) | |||||||
\(240\) | −11.9950 | + | 21.5168i | −0.774271 | + | 1.38890i | ||||
\(241\) | −5.27959 | + | 9.14453i | −0.340089 | + | 0.589051i | −0.984449 | − | 0.175671i | \(-0.943790\pi\) |
0.644360 | + | 0.764722i | \(0.277124\pi\) | |||||||
\(242\) | −4.19965 | + | 14.6703i | −0.269964 | + | 0.943044i | ||||
\(243\) | −1.68269 | + | 15.4974i | −0.107945 | + | 0.994157i | ||||
\(244\) | 5.00472 | + | 9.39251i | 0.320394 | + | 0.601294i | ||||
\(245\) | −22.5398 | − | 10.5570i | −1.44002 | − | 0.674462i | ||||
\(246\) | 24.3760 | + | 4.83282i | 1.55416 | + | 0.308129i | ||||
\(247\) | −3.62192 | + | 2.09112i | −0.230457 | + | 0.133055i | ||||
\(248\) | 14.1328 | − | 3.02357i | 0.897436 | − | 0.191997i | ||||
\(249\) | −0.987533 | + | 0.685347i | −0.0625824 | + | 0.0434321i | ||||
\(250\) | 9.23545 | + | 9.55515i | 0.584101 | + | 0.604321i | ||||
\(251\) | − | 6.66647i | − | 0.420784i | −0.977617 | − | 0.210392i | \(-0.932526\pi\) | ||
0.977617 | − | 0.210392i | \(-0.0674741\pi\) | |||||||
\(252\) | 1.37713 | − | 15.8147i | 0.0867513 | − | 0.996230i | ||||
\(253\) | − | 1.42051i | − | 0.0893066i | ||||||
\(254\) | −15.9692 | + | 15.4349i | −1.00200 | + | 0.968470i | ||||
\(255\) | 32.0422 | − | 22.2373i | 2.00656 | − | 1.39255i | ||||
\(256\) | 15.8520 | + | 2.17087i | 0.990753 | + | 0.135679i | ||||
\(257\) | −0.887844 | + | 0.512597i | −0.0553822 | + | 0.0319749i | −0.527435 | − | 0.849595i | \(-0.676846\pi\) |
0.472053 | + | 0.881570i | \(0.343513\pi\) | |||||||
\(258\) | −1.69757 | + | 8.56231i | −0.105686 | + | 0.533066i | ||||
\(259\) | −6.51398 | − | 5.97912i | −0.404759 | − | 0.371525i | ||||
\(260\) | 2.67214 | + | 5.01490i | 0.165719 | + | 0.311011i | ||||
\(261\) | 2.73248 | − | 7.31662i | 0.169136 | − | 0.452887i | ||||
\(262\) | −1.83081 | − | 0.524103i | −0.113108 | − | 0.0323792i | ||||
\(263\) | −8.60208 | + | 14.8992i | −0.530427 | + | 0.918726i | 0.468943 | + | 0.883228i | \(0.344635\pi\) |
−0.999370 | + | 0.0354978i | \(0.988698\pi\) | |||||||
\(264\) | 1.63685 | + | 1.53514i | 0.100741 | + | 0.0944816i | ||||
\(265\) | 8.31406 | 0.510729 | ||||||||
\(266\) | −19.5771 | + | 0.504690i | −1.20035 | + | 0.0309445i | ||||
\(267\) | −12.7031 | − | 5.98828i | −0.777416 | − | 0.366477i | ||||
\(268\) | 0.0332328 | + | 0.0207254i | 0.00203002 | + | 0.00126601i | ||||
\(269\) | −3.92637 | + | 6.80068i | −0.239395 | + | 0.414644i | −0.960541 | − | 0.278139i | \(-0.910282\pi\) |
0.721146 | + | 0.692783i | \(0.243616\pi\) | |||||||
\(270\) | 0.771879 | − | 26.1173i | 0.0469750 | − | 1.58945i | ||||
\(271\) | 15.7096 | − | 9.06993i | 0.954289 | − | 0.550959i | 0.0598783 | − | 0.998206i | \(-0.480929\pi\) |
0.894411 | + | 0.447247i | \(0.147595\pi\) | |||||||
\(272\) | −21.0262 | − | 14.1285i | −1.27490 | − | 0.856665i | ||||
\(273\) | −2.89384 | − | 2.24371i | −0.175143 | − | 0.135796i | ||||
\(274\) | 3.08347 | + | 12.3439i | 0.186279 | + | 0.745725i | ||||
\(275\) | 3.03189 | − | 1.75046i | 0.182830 | − | 0.105557i | ||||
\(276\) | 9.55539 | + | 4.90845i | 0.575167 | + | 0.295454i | ||||
\(277\) | −19.2898 | − | 11.1370i | −1.15901 | − | 0.669157i | −0.207946 | − | 0.978140i | \(-0.566678\pi\) |
−0.951067 | + | 0.308983i | \(0.900011\pi\) | |||||||
\(278\) | 15.7428 | + | 16.2877i | 0.944188 | + | 0.976873i | ||||
\(279\) | −11.8249 | + | 9.75505i | −0.707937 | + | 0.584020i | ||||
\(280\) | −0.219538 | + | 26.6072i | −0.0131199 | + | 1.59009i | ||||
\(281\) | 17.9109i | 1.06847i | 0.845335 | + | 0.534236i | \(0.179401\pi\) | ||||
−0.845335 | + | 0.534236i | \(0.820599\pi\) | |||||||
\(282\) | 10.0145 | − | 3.40646i | 0.596355 | − | 0.202852i | ||||
\(283\) | −2.24283 | + | 3.88469i | −0.133322 | + | 0.230921i | −0.924955 | − | 0.380076i | \(-0.875898\pi\) |
0.791633 | + | 0.610997i | \(0.209231\pi\) | |||||||
\(284\) | 0.615065 | − | 18.0700i | 0.0364974 | − | 1.07226i | ||||
\(285\) | −32.1224 | + | 2.67517i | −1.90277 | + | 0.158463i | ||||
\(286\) | 0.502211 | − | 0.125451i | 0.0296964 | − | 0.00741805i | ||||
\(287\) | 25.6061 | − | 8.04974i | 1.51148 | − | 0.475161i | ||||
\(288\) | −15.9825 | + | 5.70607i | −0.941779 | + | 0.336234i | ||||
\(289\) | 11.5536 | + | 20.0115i | 0.679625 | + | 1.17715i | ||||
\(290\) | −3.60285 | + | 12.5856i | −0.211567 | + | 0.739051i | ||||
\(291\) | −6.96535 | − | 10.0365i | −0.408316 | − | 0.588352i | ||||
\(292\) | 14.1082 | + | 8.79851i | 0.825622 | + | 0.514894i | ||||
\(293\) | −24.7711 | −1.44714 | −0.723570 | − | 0.690251i | \(-0.757500\pi\) | ||||
−0.723570 | + | 0.690251i | \(0.757500\pi\) | |||||||
\(294\) | −6.88891 | − | 15.7017i | −0.401769 | − | 0.915741i | ||||
\(295\) | − | 6.14794i | − | 0.357947i | ||||||
\(296\) | −2.90911 | + | 8.99377i | −0.169088 | + | 0.522752i | ||||
\(297\) | −2.29121 | − | 0.644812i | −0.132950 | − | 0.0374158i | ||||
\(298\) | 2.60264 | − | 9.09160i | 0.150767 | − | 0.526662i | ||||
\(299\) | 2.14596 | − | 1.23897i | 0.124104 | − | 0.0716514i | ||||
\(300\) | 1.29845 | + | 26.4433i | 0.0749663 | + | 1.52671i | ||||
\(301\) | 2.82755 | + | 8.99439i | 0.162977 | + | 0.518428i | ||||
\(302\) | −1.44957 | − | 5.80299i | −0.0834131 | − | 0.333925i | ||||
\(303\) | −11.5422 | + | 0.961239i | −0.663082 | + | 0.0552217i | ||||
\(304\) | 9.21078 | + | 18.8007i | 0.528275 | + | 1.07829i | ||||
\(305\) | 16.3860 | + | 9.46044i | 0.938257 | + | 0.541703i | ||||
\(306\) | 26.6985 | + | 3.01995i | 1.52625 | + | 0.172639i | ||||
\(307\) | 7.72188 | 0.440711 | 0.220355 | − | 0.975420i | \(-0.429278\pi\) | ||||
0.220355 | + | 0.975420i | \(0.429278\pi\) | |||||||
\(308\) | 2.34671 | + | 0.606813i | 0.133716 | + | 0.0345764i | ||||
\(309\) | −9.92729 | − | 4.67976i | −0.564744 | − | 0.266222i | ||||
\(310\) | 18.4751 | − | 17.8570i | 1.04932 | − | 1.01421i | ||||
\(311\) | −10.0093 | + | 17.3367i | −0.567577 | + | 0.983072i | 0.429228 | + | 0.903196i | \(0.358786\pi\) |
−0.996805 | + | 0.0798757i | \(0.974548\pi\) | |||||||
\(312\) | −0.891478 | + | 3.81173i | −0.0504700 | + | 0.215797i | ||||
\(313\) | −8.54501 | − | 14.8004i | −0.482993 | − | 0.836568i | 0.516817 | − | 0.856096i | \(-0.327117\pi\) |
−0.999809 | + | 0.0195284i | \(0.993784\pi\) | |||||||
\(314\) | 7.89063 | + | 31.5883i | 0.445294 | + | 1.78263i | ||||
\(315\) | −12.8006 | − | 25.1523i | −0.721234 | − | 1.41717i | ||||
\(316\) | −11.8184 | − | 22.1800i | −0.664837 | − | 1.24772i | ||||
\(317\) | −7.67062 | − | 13.2859i | −0.430825 | − | 0.746210i | 0.566120 | − | 0.824323i | \(-0.308444\pi\) |
−0.996945 | + | 0.0781127i | \(0.975111\pi\) | |||||||
\(318\) | 4.30856 | + | 3.77373i | 0.241612 | + | 0.211620i | ||||
\(319\) | 1.03278 | + | 0.596274i | 0.0578244 | + | 0.0333849i | ||||
\(320\) | 25.9554 | − | 11.6384i | 1.45095 | − | 0.650609i | ||||
\(321\) | 5.60235 | + | 2.64097i | 0.312693 | + | 0.147405i | ||||
\(322\) | 11.5992 | − | 0.299024i | 0.646400 | − | 0.0166639i | ||||
\(323\) | − | 33.1466i | − | 1.84433i | ||||||
\(324\) | 12.2546 | − | 13.1843i | 0.680810 | − | 0.732460i | ||||
\(325\) | 5.28884 | + | 3.05351i | 0.293372 | + | 0.169378i | ||||
\(326\) | 8.09625 | − | 28.2820i | 0.448410 | − | 1.56640i | ||||
\(327\) | −0.0810115 | − | 0.972755i | −0.00447994 | − | 0.0537935i | ||||
\(328\) | −19.2288 | − | 21.2990i | −1.06173 | − | 1.17604i | ||||
\(329\) | 7.72613 | − | 8.41727i | 0.425955 | − | 0.464059i | ||||
\(330\) | 3.91344 | + | 0.775883i | 0.215428 | + | 0.0427110i | ||||
\(331\) | −6.86143 | − | 11.8844i | −0.377138 | − | 0.653223i | 0.613506 | − | 0.789690i | \(-0.289759\pi\) |
−0.990645 | + | 0.136467i | \(0.956425\pi\) | |||||||
\(332\) | 1.38720 | + | 0.0472176i | 0.0761327 | + | 0.00259140i | ||||
\(333\) | −1.65843 | − | 9.88783i | −0.0908813 | − | 0.541850i | ||||
\(334\) | −7.40971 | − | 7.66622i | −0.405441 | − | 0.419477i | ||||
\(335\) | 0.0696302 | 0.00380430 | ||||||||
\(336\) | −12.1907 | + | 13.6889i | −0.665059 | + | 0.746791i | ||||
\(337\) | −15.7338 | −0.857074 | −0.428537 | − | 0.903524i | \(-0.640971\pi\) | ||||
−0.428537 | + | 0.903524i | \(0.640971\pi\) | |||||||
\(338\) | −12.1494 | − | 12.5700i | −0.660841 | − | 0.683718i | ||||
\(339\) | 2.01293 | − | 1.39698i | 0.109328 | − | 0.0758733i | ||||
\(340\) | −45.0102 | − | 1.53205i | −2.44102 | − | 0.0830873i | ||||
\(341\) | −1.17033 | − | 2.02706i | −0.0633767 | − | 0.109772i | ||||
\(342\) | −17.8609 | − | 13.1939i | −0.965807 | − | 0.713447i | ||||
\(343\) | −14.6644 | − | 11.3117i | −0.791804 | − | 0.610775i | ||||
\(344\) | 7.48149 | − | 6.75430i | 0.403375 | − | 0.364167i | ||||
\(345\) | 19.0322 | − | 1.58501i | 1.02466 | − | 0.0853342i | ||||
\(346\) | 6.05303 | − | 21.1446i | 0.325413 | − | 1.13674i | ||||
\(347\) | 18.5301 | + | 10.6984i | 0.994748 | + | 0.574318i | 0.906690 | − | 0.421798i | \(-0.138601\pi\) |
0.0880576 | + | 0.996115i | \(0.471934\pi\) | |||||||
\(348\) | −7.57966 | + | 4.88685i | −0.406312 | + | 0.261962i | ||||
\(349\) | 15.7266i | 0.841826i | 0.907101 | + | 0.420913i | \(0.138290\pi\) | ||||
−0.907101 | + | 0.420913i | \(0.861710\pi\) | |||||||
\(350\) | 14.9317 | + | 24.3886i | 0.798134 | + | 1.30362i | ||||
\(351\) | −1.02428 | − | 4.02373i | −0.0546721 | − | 0.214771i | ||||
\(352\) | −0.455590 | − | 2.55089i | −0.0242830 | − | 0.135963i | ||||
\(353\) | 10.1824 | + | 5.87883i | 0.541956 | + | 0.312898i | 0.745871 | − | 0.666090i | \(-0.232033\pi\) |
−0.203915 | + | 0.978989i | \(0.565367\pi\) | |||||||
\(354\) | 2.79053 | − | 3.18602i | 0.148315 | − | 0.169335i | ||||
\(355\) | −16.0720 | − | 27.8375i | −0.853013 | − | 1.47746i | ||||
\(356\) | 7.62574 | + | 14.3115i | 0.404164 | + | 0.758507i | ||||
\(357\) | 26.8679 | − | 10.9712i | 1.42200 | − | 0.580658i | ||||
\(358\) | 3.09171 | + | 12.3769i | 0.163402 | + | 0.654141i | ||||
\(359\) | −10.2639 | − | 17.7776i | −0.541709 | − | 0.938268i | −0.998806 | − | 0.0488509i | \(-0.984444\pi\) |
0.457097 | − | 0.889417i | \(-0.348889\pi\) | |||||||
\(360\) | −18.7417 | + | 23.6437i | −0.987776 | + | 1.24613i | ||||
\(361\) | −4.19701 | + | 7.26943i | −0.220895 | + | 0.382601i | ||||
\(362\) | −10.5796 | + | 10.2256i | −0.556050 | + | 0.537445i | ||||
\(363\) | −7.96906 | + | 16.9050i | −0.418267 | + | 0.887280i | ||||
\(364\) | 1.13009 | + | 4.07442i | 0.0592328 | + | 0.213558i | ||||
\(365\) | 29.5599 | 1.54724 | ||||||||
\(366\) | 4.19755 | + | 12.3402i | 0.219410 | + | 0.645032i | ||||
\(367\) | −19.9290 | − | 11.5060i | −1.04029 | − | 0.600609i | −0.120372 | − | 0.992729i | \(-0.538409\pi\) |
−0.919914 | + | 0.392120i | \(0.871742\pi\) | |||||||
\(368\) | −5.45730 | − | 11.1392i | −0.284482 | − | 0.580672i | ||||
\(369\) | 28.5120 | + | 10.6482i | 1.48428 | + | 0.554321i | ||||
\(370\) | 4.07270 | + | 16.3041i | 0.211729 | + | 0.847608i | ||||
\(371\) | 6.03867 | + | 1.34411i | 0.313512 | + | 0.0697826i | ||||
\(372\) | 17.6795 | − | 0.868122i | 0.916640 | − | 0.0450100i | ||||
\(373\) | −21.6640 | + | 12.5077i | −1.12172 | + | 0.647624i | −0.941839 | − | 0.336065i | \(-0.890904\pi\) |
−0.179878 | + | 0.983689i | \(0.557570\pi\) | |||||||
\(374\) | −1.12910 | + | 3.94419i | −0.0583841 | + | 0.203949i | ||||
\(375\) | 9.27946 | + | 13.3710i | 0.479189 | + | 0.690475i | ||||
\(376\) | −11.6216 | − | 3.75910i | −0.599338 | − | 0.193861i | ||||
\(377\) | 2.08028i | 0.107140i | ||||||||
\(378\) | 4.78293 | − | 18.8447i | 0.246007 | − | 0.969268i | ||||
\(379\) | −11.7405 | −0.603071 | −0.301535 | − | 0.953455i | \(-0.597499\pi\) | ||||
−0.301535 | + | 0.953455i | \(0.597499\pi\) | |||||||
\(380\) | 31.5819 | + | 19.6958i | 1.62012 | + | 1.01038i | ||||
\(381\) | −22.3464 | + | 15.5084i | −1.14484 | + | 0.794521i | ||||
\(382\) | −5.71235 | + | 19.9545i | −0.292269 | + | 1.02096i | ||||
\(383\) | −8.93250 | − | 15.4715i | −0.456430 | − | 0.790559i | 0.542340 | − | 0.840159i | \(-0.317539\pi\) |
−0.998769 | + | 0.0496002i | \(0.984205\pi\) | |||||||
\(384\) | 18.7334 | + | 5.74974i | 0.955985 | + | 0.293415i | ||||
\(385\) | 4.11092 | − | 1.29234i | 0.209512 | − | 0.0658639i | ||||
\(386\) | −22.1331 | + | 5.52878i | −1.12655 | + | 0.281407i | ||||
\(387\) | −3.74027 | + | 10.0151i | −0.190128 | + | 0.509098i | ||||
\(388\) | −0.479884 | + | 14.0985i | −0.0243624 | + | 0.715742i | ||||
\(389\) | −12.9460 | + | 22.4231i | −0.656386 | + | 1.13689i | 0.325158 | + | 0.945660i | \(0.394582\pi\) |
−0.981544 | + | 0.191235i | \(0.938751\pi\) | |||||||
\(390\) | 2.24118 | + | 6.58874i | 0.113487 | + | 0.333634i | ||||
\(391\) | 19.6391i | 0.993190i | ||||||||
\(392\) | −4.46096 | + | 19.2899i | −0.225313 | + | 0.974287i | ||||
\(393\) | −2.10969 | − | 0.994514i | −0.106420 | − | 0.0501666i | ||||
\(394\) | −21.5714 | − | 22.3181i | −1.08675 | − | 1.12437i | ||||
\(395\) | −38.6946 | − | 22.3404i | −1.94694 | − | 1.12407i | ||||
\(396\) | 1.67587 | + | 2.17838i | 0.0842158 | + | 0.109468i | ||||
\(397\) | 17.5040 | − | 10.1060i | 0.878502 | − | 0.507203i | 0.00833784 | − | 0.999965i | \(-0.497346\pi\) |
0.870164 | + | 0.492762i | \(0.164013\pi\) | |||||||
\(398\) | −5.46820 | − | 21.8906i | −0.274096 | − | 1.09728i | ||||
\(399\) | −23.7637 | − | 3.25010i | −1.18967 | − | 0.162708i | ||||
\(400\) | 17.0503 | − | 25.3746i | 0.852516 | − | 1.26873i | ||||
\(401\) | −32.0937 | + | 18.5293i | −1.60268 | + | 0.925309i | −0.611735 | + | 0.791063i | \(0.709528\pi\) |
−0.990948 | + | 0.134247i | \(0.957139\pi\) | |||||||
\(402\) | 0.0360842 | + | 0.0316050i | 0.00179971 | + | 0.00157631i | ||||
\(403\) | 2.04152 | − | 3.53601i | 0.101695 | − | 0.176141i | ||||
\(404\) | 11.3480 | + | 7.07709i | 0.564583 | + | 0.352099i | ||||
\(405\) | 6.08275 | − | 31.4175i | 0.302255 | − | 1.56115i | ||||
\(406\) | −4.65150 | + | 8.55871i | −0.230850 | + | 0.424762i | ||||
\(407\) | 1.53087 | 0.0758825 | ||||||||
\(408\) | −22.6300 | − | 21.2240i | −1.12035 | − | 1.05074i | ||||
\(409\) | −14.5304 | + | 25.1675i | −0.718484 | + | 1.24445i | 0.243117 | + | 0.969997i | \(0.421830\pi\) |
−0.961600 | + | 0.274453i | \(0.911503\pi\) | |||||||
\(410\) | −49.0446 | − | 14.0399i | −2.42214 | − | 0.693382i | ||||
\(411\) | 1.29326 | + | 15.5290i | 0.0637918 | + | 0.765987i | ||||
\(412\) | 5.95942 | + | 11.1842i | 0.293599 | + | 0.551008i | ||||
\(413\) | 0.993917 | − | 4.46537i | 0.0489075 | − | 0.219727i | ||||
\(414\) | 10.5824 | + | 7.81729i | 0.520098 | + | 0.384199i | ||||
\(415\) | 2.13704 | − | 1.23382i | 0.104903 | − | 0.0605659i | ||||
\(416\) | 3.45625 | − | 2.91314i | 0.169456 | − | 0.142829i | ||||
\(417\) | 15.8178 | + | 22.7922i | 0.774600 | + | 1.11614i | ||||
\(418\) | 2.43796 | − | 2.35639i | 0.119244 | − | 0.115255i | ||||
\(419\) | 1.27248i | 0.0621647i | 0.999517 | + | 0.0310823i | \(0.00989541\pi\) | ||||
−0.999517 | + | 0.0310823i | \(0.990105\pi\) | |||||||
\(420\) | −5.51171 | + | 32.1187i | −0.268944 | + | 1.56723i | ||||
\(421\) | 12.1006i | 0.589749i | 0.955536 | + | 0.294875i | \(0.0952779\pi\) | ||||
−0.955536 | + | 0.294875i | \(0.904722\pi\) | |||||||
\(422\) | −20.6322 | − | 21.3464i | −1.00436 | − | 1.03913i | ||||
\(423\) | 12.7769 | − | 2.14299i | 0.621234 | − | 0.104196i | ||||
\(424\) | −1.38360 | − | 6.46725i | −0.0671935 | − | 0.314077i | ||||
\(425\) | −41.9171 | + | 24.2008i | −2.03328 | + | 1.17391i | ||||
\(426\) | 4.30646 | − | 21.7211i | 0.208649 | − | 1.05239i | ||||
\(427\) | 10.3720 | + | 9.52038i | 0.501937 | + | 0.460723i | ||||
\(428\) | −3.36313 | − | 6.31169i | −0.162563 | − | 0.305087i | ||||
\(429\) | 0.631793 | − | 0.0526160i | 0.0305033 | − | 0.00254033i | ||||
\(430\) | 4.93165 | − | 17.2274i | 0.237825 | − | 0.830778i | ||||
\(431\) | 8.36354 | − | 14.4861i | 0.402858 | − | 0.697770i | −0.591212 | − | 0.806516i | \(-0.701350\pi\) |
0.994070 | + | 0.108746i | \(0.0346837\pi\) | |||||||
\(432\) | −20.4443 | + | 3.74593i | −0.983625 | + | 0.180226i | ||||
\(433\) | −14.1708 | −0.681007 | −0.340503 | − | 0.940243i | \(-0.610597\pi\) | ||||
−0.340503 | + | 0.940243i | \(0.610597\pi\) | |||||||
\(434\) | 16.3057 | − | 9.98306i | 0.782700 | − | 0.479202i | ||||
\(435\) | −6.83661 | + | 14.5027i | −0.327790 | + | 0.695349i | ||||
\(436\) | −0.596444 | + | 0.956386i | −0.0285645 | + | 0.0458026i | ||||
\(437\) | 8.11535 | − | 14.0562i | 0.388210 | − | 0.672399i | ||||
\(438\) | 15.3187 | + | 13.4172i | 0.731956 | + | 0.641098i | ||||
\(439\) | 22.3364 | − | 12.8959i | 1.06606 | − | 0.615489i | 0.138957 | − | 0.990298i | \(-0.455625\pi\) |
0.927102 | + | 0.374809i | \(0.122292\pi\) | |||||||
\(440\) | −3.08708 | − | 3.41944i | −0.147171 | − | 0.163016i | ||||
\(441\) | −5.23108 | − | 20.3380i | −0.249099 | − | 0.968478i | ||||
\(442\) | −6.94326 | + | 1.73440i | −0.330257 | + | 0.0824971i | ||||
\(443\) | 30.3993 | − | 17.5510i | 1.44431 | − | 0.833875i | 0.446181 | − | 0.894943i | \(-0.352784\pi\) |
0.998134 | + | 0.0610673i | \(0.0194504\pi\) | |||||||
\(444\) | −5.28980 | + | 10.2978i | −0.251043 | + | 0.488711i | ||||
\(445\) | 24.9675 | + | 14.4150i | 1.18357 | + | 0.683336i | ||||
\(446\) | 7.16964 | − | 6.92975i | 0.339492 | − | 0.328133i | ||||
\(447\) | 4.93864 | − | 10.4765i | 0.233590 | − | 0.495519i | ||||
\(448\) | 20.7335 | − | 4.25712i | 0.979565 | − | 0.201130i | ||||
\(449\) | − | 13.8891i | − | 0.655467i | −0.944770 | − | 0.327733i | \(-0.893715\pi\) | ||
0.944770 | − | 0.327733i | \(-0.106285\pi\) | |||||||
\(450\) | −3.64449 | + | 32.2199i | −0.171803 | + | 1.51886i | ||||
\(451\) | −2.32361 | + | 4.02462i | −0.109415 | + | 0.189512i | ||||
\(452\) | −2.82760 | − | 0.0962458i | −0.132999 | − | 0.00452702i | ||||
\(453\) | −0.607972 | − | 7.30029i | −0.0285650 | − | 0.342998i | ||||
\(454\) | −7.11097 | − | 28.4671i | −0.333734 | − | 1.33603i | ||||
\(455\) | 5.53788 | + | 5.08317i | 0.259620 | + | 0.238303i | ||||
\(456\) | 7.42664 | + | 24.5418i | 0.347784 | + | 1.14928i | ||||
\(457\) | 3.77280 | + | 6.53468i | 0.176484 | + | 0.305679i | 0.940674 | − | 0.339312i | \(-0.110194\pi\) |
−0.764190 | + | 0.644991i | \(0.776861\pi\) | |||||||
\(458\) | 29.8998 | + | 8.55937i | 1.39713 | + | 0.399953i | ||||
\(459\) | 31.6769 | + | 8.91476i | 1.47855 | + | 0.416106i | ||||
\(460\) | −18.7120 | − | 11.6696i | −0.872450 | − | 0.544098i | ||||
\(461\) | 17.6339 | 0.821292 | 0.410646 | − | 0.911795i | \(-0.365303\pi\) | ||||
0.410646 | + | 0.911795i | \(0.365303\pi\) | |||||||
\(462\) | 2.71698 | + | 1.19621i | 0.126405 | + | 0.0556529i | ||||
\(463\) | 29.5192i | 1.37187i | 0.727661 | + | 0.685937i | \(0.240607\pi\) | ||||
−0.727661 | + | 0.685937i | \(0.759393\pi\) | |||||||
\(464\) | 10.3895 | + | 0.708096i | 0.482321 | + | 0.0328725i | ||||
\(465\) | 25.8531 | − | 17.9420i | 1.19891 | − | 0.832043i | ||||
\(466\) | −23.7689 | − | 6.80427i | −1.10107 | − | 0.315202i | ||||
\(467\) | −26.4319 | + | 15.2605i | −1.22312 | + | 0.706170i | −0.965582 | − | 0.260098i | \(-0.916245\pi\) |
−0.257539 | + | 0.966268i | \(0.582912\pi\) | |||||||
\(468\) | −1.82918 | + | 4.43172i | −0.0845537 | + | 0.204856i | ||||
\(469\) | 0.0505738 | + | 0.0112569i | 0.00233528 | + | 0.000519795i | ||||
\(470\) | −21.0679 | + | 5.26267i | −0.971788 | + | 0.242749i | ||||
\(471\) | 3.30946 | + | 39.7388i | 0.152492 | + | 1.83107i | ||||
\(472\) | −4.78229 | + | 1.02312i | −0.220123 | + | 0.0470929i | ||||
\(473\) | −1.41368 | − | 0.816191i | −0.0650013 | − | 0.0375285i | ||||
\(474\) | −9.91232 | − | 29.1408i | −0.455288 | − | 1.33848i | ||||
\(475\) | 40.0015 | 1.83540 | ||||||||
\(476\) | −32.4441 | − | 8.38941i | −1.48707 | − | 0.384528i | ||||
\(477\) | 4.46396 | + | 5.41112i | 0.204391 | + | 0.247758i | ||||
\(478\) | 6.49213 | + | 6.71687i | 0.296943 | + | 0.307222i | ||||
\(479\) | 0.0969618 | − | 0.167943i | 0.00443030 | − | 0.00767350i | −0.863802 | − | 0.503832i | \(-0.831923\pi\) |
0.868232 | + | 0.496158i | \(0.165256\pi\) | |||||||
\(480\) | 33.6689 | − | 8.95037i | 1.53677 | − | 0.408527i | ||||
\(481\) | 1.33523 | + | 2.31268i | 0.0608811 | + | 0.105449i | ||||
\(482\) | 14.4878 | − | 3.61899i | 0.659900 | − | 0.164841i | ||||
\(483\) | 14.0797 | + | 1.92565i | 0.640650 | + | 0.0876203i | ||||
\(484\) | 19.0454 | − | 10.1482i | 0.865699 | − | 0.461280i | ||||
\(485\) | 12.5396 | + | 21.7193i | 0.569395 | + | 0.986221i | ||||
\(486\) | 17.4126 | − | 13.5204i | 0.789851 | − | 0.613299i | ||||
\(487\) | 17.4486 | + | 10.0740i | 0.790673 | + | 0.456496i | 0.840200 | − | 0.542277i | \(-0.182438\pi\) |
−0.0495261 | + | 0.998773i | \(0.515771\pi\) | |||||||
\(488\) | 4.63208 | − | 14.3205i | 0.209684 | − | 0.648259i | ||||
\(489\) | 15.3631 | − | 32.5900i | 0.694742 | − | 1.47377i | ||||
\(490\) | 11.4180 | + | 33.2959i | 0.515815 | + | 1.50415i | ||||
\(491\) | − | 4.30244i | − | 0.194167i | −0.995276 | − | 0.0970833i | \(-0.969049\pi\) | ||
0.995276 | − | 0.0970833i | \(-0.0309513\pi\) | |||||||
\(492\) | −19.0435 | − | 29.5371i | −0.858547 | − | 1.33163i | ||||
\(493\) | −14.2785 | − | 8.24371i | −0.643073 | − | 0.371278i | ||||
\(494\) | 5.68617 | + | 1.62777i | 0.255833 | + | 0.0732369i | ||||
\(495\) | 4.57745 | + | 1.70950i | 0.205741 | + | 0.0768365i | ||||
\(496\) | −16.9649 | − | 11.3995i | −0.761748 | − | 0.511853i | ||||
\(497\) | −7.17302 | − | 22.8173i | −0.321754 | − | 1.02349i | ||||
\(498\) | 1.66750 | + | 0.330600i | 0.0747224 | + | 0.0148145i | ||||
\(499\) | −13.0198 | − | 22.5510i | −0.582848 | − | 1.00952i | −0.995140 | − | 0.0984710i | \(-0.968605\pi\) |
0.412292 | − | 0.911052i | \(-0.364728\pi\) | |||||||
\(500\) | 0.639316 | − | 18.7824i | 0.0285911 | − | 0.839976i | ||||
\(501\) | −7.44502 | − | 10.7277i | −0.332619 | − | 0.479279i | ||||
\(502\) | −6.77892 | + | 6.55210i | −0.302558 | + | 0.292435i | ||||
\(503\) | 22.7182 | 1.01295 | 0.506476 | − | 0.862254i | \(-0.330948\pi\) | ||||
0.506476 | + | 0.862254i | \(0.330948\pi\) | |||||||
\(504\) | −17.4349 | + | 14.1430i | −0.776613 | + | 0.629978i | ||||
\(505\) | 23.7766 | 1.05804 | ||||||||
\(506\) | −1.44447 | + | 1.39614i | −0.0642144 | + | 0.0620659i | ||||
\(507\) | −12.2073 | − | 17.5898i | −0.542146 | − | 0.781191i | ||||
\(508\) | 31.3904 | + | 1.06847i | 1.39272 | + | 0.0474055i | ||||
\(509\) | −18.1915 | − | 31.5087i | −0.806326 | − | 1.39660i | −0.915392 | − | 0.402563i | \(-0.868120\pi\) |
0.109067 | − | 0.994034i | \(-0.465214\pi\) | |||||||
\(510\) | −54.1048 | − | 10.7269i | −2.39580 | − | 0.474994i | ||||
\(511\) | 21.4700 | + | 4.77886i | 0.949776 | + | 0.211404i | ||||
\(512\) | −13.3726 | − | 18.2530i | −0.590991 | − | 0.806678i | ||||
\(513\) | −18.9882 | − | 19.4702i | −0.838347 | − | 0.859630i | ||||
\(514\) | 1.39386 | + | 0.399017i | 0.0614803 | + | 0.0175999i | ||||
\(515\) | 19.5117 | + | 11.2651i | 0.859790 | + | 0.496400i | ||||
\(516\) | 10.3752 | − | 6.68921i | 0.456742 | − | 0.294476i | ||||
\(517\) | 1.97817i | 0.0869997i | ||||||||
\(518\) | 0.322256 | + | 12.5004i | 0.0141591 | + | 0.549236i | ||||
\(519\) | 11.4860 | − | 24.3654i | 0.504177 | − | 1.06952i | ||||
\(520\) | 2.47319 | − | 7.64608i | 0.108456 | − | 0.335303i | ||||
\(521\) | 4.25083 | + | 2.45422i | 0.186232 | + | 0.107521i | 0.590218 | − | 0.807244i | \(-0.299042\pi\) |
−0.403985 | + | 0.914765i | \(0.632375\pi\) | |||||||
\(522\) | −10.1256 | + | 4.41253i | −0.443187 | + | 0.193131i | ||||
\(523\) | 20.4680 | + | 35.4516i | 0.895002 | + | 1.55019i | 0.833802 | + | 0.552064i | \(0.186159\pi\) |
0.0612000 | + | 0.998126i | \(0.480507\pi\) | |||||||
\(524\) | 1.26646 | + | 2.37680i | 0.0553255 | + | 0.103831i | ||||
\(525\) | 13.2401 | + | 32.4243i | 0.577846 | + | 1.41511i | ||||
\(526\) | 23.6050 | − | 5.89645i | 1.02923 | − | 0.257098i | ||||
\(527\) | 16.1802 | + | 28.0249i | 0.704821 | + | 1.22079i | ||||
\(528\) | −0.0477264 | − | 3.17326i | −0.00207703 | − | 0.138099i | ||||
\(529\) | 6.69173 | − | 11.5904i | 0.290945 | − | 0.503931i | ||||
\(530\) | −8.17142 | − | 8.45429i | −0.354944 | − | 0.367231i | ||||
\(531\) | 4.00132 | − | 3.30093i | 0.173642 | − | 0.143248i | ||||
\(532\) | 19.7544 | + | 19.4112i | 0.856462 | + | 0.841584i | ||||
\(533\) | −8.10662 | −0.351137 | ||||||||
\(534\) | 6.39586 | + | 18.8029i | 0.276776 | + | 0.813681i | ||||
\(535\) | −11.0112 | − | 6.35733i | −0.476057 | − | 0.274852i | ||||
\(536\) | −0.0115876 | − | 0.0541632i | −0.000500509 | − | 0.00233949i | ||||
\(537\) | 1.29671 | + | 15.5705i | 0.0559574 | + | 0.671915i | ||||
\(538\) | 10.7744 | − | 2.69140i | 0.464517 | − | 0.116035i | ||||
\(539\) | 3.19478 | − | 0.274055i | 0.137609 | − | 0.0118044i | ||||
\(540\) | −27.3164 | + | 24.8843i | −1.17551 | + | 1.07085i | ||||
\(541\) | 7.39731 | − | 4.27084i | 0.318035 | − | 0.183618i | −0.332481 | − | 0.943110i | \(-0.607886\pi\) |
0.650517 | + | 0.759492i | \(0.274552\pi\) | |||||||
\(542\) | −24.6630 | − | 7.06023i | −1.05937 | − | 0.303263i | ||||
\(543\) | −14.8045 | + | 10.2743i | −0.635322 | + | 0.440913i | ||||
\(544\) | 6.29871 | + | 35.2670i | 0.270055 | + | 1.51206i | ||||
\(545\) | 2.00385i | 0.0858353i | ||||||||
\(546\) | 0.562634 | + | 5.14786i | 0.0240785 | + | 0.220308i | ||||
\(547\) | −0.501652 | −0.0214491 | −0.0107245 | − | 0.999942i | \(-0.503414\pi\) | ||||
−0.0107245 | + | 0.999942i | \(0.503414\pi\) | |||||||
\(548\) | 9.52158 | − | 15.2677i | 0.406742 | − | 0.652202i | ||||
\(549\) | 2.64066 | + | 15.7441i | 0.112701 | + | 0.671942i | ||||
\(550\) | −4.75986 | − | 1.36260i | −0.202961 | − | 0.0581014i | ||||
\(551\) | 6.81301 | + | 11.8005i | 0.290244 | + | 0.502718i | ||||
\(552\) | −4.40021 | − | 14.5408i | −0.187285 | − | 0.618898i | ||||
\(553\) | −24.4930 | − | 22.4819i | −1.04155 | − | 0.956028i | ||||
\(554\) | 7.63405 | + | 30.5611i | 0.324340 | + | 1.29842i | ||||
\(555\) | 1.70815 | + | 20.5109i | 0.0725071 | + | 0.870638i | ||||
\(556\) | 1.08978 | − | 32.0166i | 0.0462169 | − | 1.35781i | ||||
\(557\) | −8.85048 | + | 15.3295i | −0.375007 | + | 0.649531i | −0.990328 | − | 0.138745i | \(-0.955693\pi\) |
0.615321 | + | 0.788277i | \(0.289026\pi\) | |||||||
\(558\) | 21.5416 | + | 2.43664i | 0.911929 | + | 0.103151i | ||||
\(559\) | − | 2.84753i | − | 0.120438i | ||||||
\(560\) | 27.2718 | − | 25.9275i | 1.15244 | − | 1.09564i | ||||
\(561\) | −2.14252 | + | 4.54498i | −0.0904572 | + | 0.191889i | ||||
\(562\) | 18.2130 | − | 17.6036i | 0.768267 | − | 0.742562i | ||||
\(563\) | −0.214083 | − | 0.123601i | −0.00902251 | − | 0.00520915i | 0.495482 | − | 0.868618i | \(-0.334991\pi\) |
−0.504504 | + | 0.863409i | \(0.668325\pi\) | |||||||
\(564\) | −13.3066 | − | 6.83540i | −0.560310 | − | 0.287822i | ||||
\(565\) | −4.35603 | + | 2.51495i | −0.183260 | + | 0.105805i | ||||
\(566\) | 6.15456 | − | 1.53739i | 0.258696 | − | 0.0646212i | ||||
\(567\) | 9.49720 | − | 21.8358i | 0.398845 | − | 0.917018i | ||||
\(568\) | −18.9793 | + | 17.1345i | −0.796353 | + | 0.718949i | ||||
\(569\) | −22.8950 | + | 13.2184i | −0.959809 | + | 0.554146i | −0.896114 | − | 0.443824i | \(-0.853622\pi\) |
−0.0636947 | + | 0.997969i | \(0.520288\pi\) | |||||||
\(570\) | 34.2916 | + | 30.0349i | 1.43632 | + | 1.25803i | ||||
\(571\) | −16.4357 | + | 28.4675i | −0.687814 | + | 1.19133i | 0.284730 | + | 0.958608i | \(0.408096\pi\) |
−0.972544 | + | 0.232721i | \(0.925237\pi\) | |||||||
\(572\) | −0.621162 | − | 0.387384i | −0.0259721 | − | 0.0161973i | ||||
\(573\) | −10.8395 | + | 22.9941i | −0.452826 | + | 0.960591i | ||||
\(574\) | −33.3523 | − | 18.1264i | −1.39210 | − | 0.756580i | ||||
\(575\) | −23.7005 | −0.988380 | ||||||||
\(576\) | 21.5106 | + | 10.6439i | 0.896276 | + | 0.443496i | ||||
\(577\) | 13.3055 | − | 23.0459i | 0.553917 | − | 0.959413i | −0.444070 | − | 0.895992i | \(-0.646466\pi\) |
0.997987 | − | 0.0634205i | \(-0.0202009\pi\) | |||||||
\(578\) | 8.99359 | − | 31.4167i | 0.374084 | − | 1.30676i | ||||
\(579\) | −27.8440 | + | 2.31886i | −1.15716 | + | 0.0963685i | ||||
\(580\) | 16.3389 | − | 8.70604i | 0.678436 | − | 0.361499i | ||||
\(581\) | 1.75164 | − | 0.550661i | 0.0726705 | − | 0.0228453i | ||||
\(582\) | −3.35997 | + | 16.9472i | −0.139275 | + | 0.702484i | ||||
\(583\) | −0.927594 | + | 0.535547i | −0.0384170 | + | 0.0221801i | ||||
\(584\) | −4.91927 | − | 22.9938i | −0.203561 | − | 0.951488i | ||||
\(585\) | 1.40992 | + | 8.40617i | 0.0582929 | + | 0.347552i | ||||
\(586\) | 24.3461 | + | 25.1889i | 1.00573 | + | 1.04054i | ||||
\(587\) | 23.5447i | 0.971792i | 0.874017 | + | 0.485896i | \(0.161507\pi\) | ||||
−0.874017 | + | 0.485896i | \(0.838493\pi\) | |||||||
\(588\) | −9.19580 | + | 22.4374i | −0.379228 | + | 0.925303i | ||||
\(589\) | − | 26.7442i | − | 1.10198i | ||||||
\(590\) | −6.25163 | + | 6.04246i | −0.257376 | + | 0.248764i | ||||
\(591\) | −21.6742 | − | 31.2309i | −0.891558 | − | 1.28467i | ||||
\(592\) | 12.0047 | − | 5.88129i | 0.493389 | − | 0.241720i | ||||
\(593\) | 4.37266 | − | 2.52456i | 0.179564 | − | 0.103671i | −0.407524 | − | 0.913195i | \(-0.633608\pi\) |
0.587088 | + | 0.809523i | \(0.300274\pi\) | |||||||
\(594\) | 1.59621 | + | 2.96361i | 0.0654935 | + | 0.121598i | ||||
\(595\) | −56.8351 | + | 17.8671i | −2.33001 | + | 0.732480i | ||||
\(596\) | −11.8029 | + | 6.28908i | −0.483467 | + | 0.257611i | ||||
\(597\) | −2.29345 | − | 27.5389i | −0.0938648 | − | 1.12709i | ||||
\(598\) | −3.36900 | − | 0.964439i | −0.137769 | − | 0.0394389i | ||||
\(599\) | −7.88687 | + | 13.6605i | −0.322249 | + | 0.558151i | −0.980952 | − | 0.194252i | \(-0.937772\pi\) |
0.658703 | + | 0.752403i | \(0.271105\pi\) | |||||||
\(600\) | 25.6132 | − | 27.3100i | 1.04565 | − | 1.11493i | ||||
\(601\) | −3.65359 | −0.149033 | −0.0745165 | − | 0.997220i | \(-0.523741\pi\) | ||||
−0.0745165 | + | 0.997220i | \(0.523741\pi\) | |||||||
\(602\) | 6.36706 | − | 11.7153i | 0.259502 | − | 0.477481i | ||||
\(603\) | 0.0373856 | + | 0.0453181i | 0.00152246 | + | 0.00184550i | ||||
\(604\) | −4.47617 | + | 7.17745i | −0.182133 | + | 0.292046i | ||||
\(605\) | 19.1831 | − | 33.2261i | 0.779904 | − | 1.35083i | ||||
\(606\) | 12.3216 | + | 10.7921i | 0.500532 | + | 0.438400i | ||||
\(607\) | −40.3527 | + | 23.2976i | −1.63786 | + | 0.945622i | −0.656298 | + | 0.754502i | \(0.727878\pi\) |
−0.981567 | + | 0.191120i | \(0.938788\pi\) | |||||||
\(608\) | 10.0650 | − | 27.8443i | 0.408191 | − | 1.12923i | ||||
\(609\) | −7.31017 | + | 9.42833i | −0.296223 | + | 0.382055i | ||||
\(610\) | −6.48483 | − | 25.9605i | −0.262563 | − | 1.05111i | ||||
\(611\) | −2.98841 | + | 1.72536i | −0.120898 | + | 0.0698005i | ||||
\(612\) | −23.1696 | − | 30.1170i | −0.936575 | − | 1.21741i | ||||
\(613\) | 18.5964 | + | 10.7366i | 0.751102 | + | 0.433649i | 0.826092 | − | 0.563536i | \(-0.190559\pi\) |
−0.0749902 | + | 0.997184i | \(0.523893\pi\) | |||||||
\(614\) | −7.58940 | − | 7.85212i | −0.306283 | − | 0.316886i | ||||
\(615\) | −56.5152 | − | 26.6415i | −2.27891 | − | 1.07429i | ||||
\(616\) | −1.68940 | − | 2.98269i | −0.0680678 | − | 0.120176i | ||||
\(617\) | 23.7350i | 0.955536i | 0.878486 | + | 0.477768i | \(0.158554\pi\) | ||||
−0.878486 | + | 0.477768i | \(0.841446\pi\) | |||||||
\(618\) | 4.99828 | + | 14.6942i | 0.201060 | + | 0.591088i | ||||
\(619\) | −10.3184 | + | 17.8719i | −0.414730 | + | 0.718334i | −0.995400 | − | 0.0958052i | \(-0.969457\pi\) |
0.580670 | + | 0.814139i | \(0.302791\pi\) | |||||||
\(620\) | −36.3163 | − | 1.23613i | −1.45850 | − | 0.0496443i | ||||
\(621\) | 11.2503 | + | 11.5359i | 0.451459 | + | 0.462920i | ||||
\(622\) | 27.4667 | − | 6.86108i | 1.10131 | − | 0.275104i | ||||
\(623\) | 15.8040 | + | 14.5063i | 0.633173 | + | 0.581183i | ||||
\(624\) | 4.75221 | − | 2.83982i | 0.190241 | − | 0.113684i | ||||
\(625\) | 2.40116 | + | 4.15892i | 0.0960462 | + | 0.166357i | ||||
\(626\) | −6.65162 | + | 23.2356i | −0.265852 | + | 0.928682i | ||||
\(627\) | 3.41155 | − | 2.36762i | 0.136244 | − | 0.0945535i | ||||
\(628\) | 24.3658 | − | 39.0701i | 0.972301 | − | 1.55906i | ||||
\(629\) | −21.1649 | −0.843899 | ||||||||
\(630\) | −12.9955 | + | 37.7373i | −0.517752 | + | 1.50349i | ||||
\(631\) | − | 1.83946i | − | 0.0732279i | −0.999329 | − | 0.0366139i | \(-0.988343\pi\) | ||
0.999329 | − | 0.0366139i | \(-0.0116572\pi\) | |||||||
\(632\) | −10.9384 | + | 33.8172i | −0.435108 | + | 1.34517i | ||||
\(633\) | −20.7305 | − | 29.8711i | −0.823964 | − | 1.18727i | ||||
\(634\) | −5.97097 | + | 20.8580i | −0.237138 | + | 0.828375i | ||||
\(635\) | 48.3581 | − | 27.9196i | 1.91903 | − | 1.10796i | ||||
\(636\) | −0.397256 | − | 8.09022i | −0.0157522 | − | 0.320798i | ||||
\(637\) | 3.20050 | + | 4.58730i | 0.126808 | + | 0.181756i | ||||
\(638\) | −0.408727 | − | 1.63624i | −0.0161817 | − | 0.0647794i | ||||
\(639\) | 9.48843 | − | 25.4067i | 0.375357 | − | 1.00507i | ||||
\(640\) | −37.3448 | − | 14.9544i | −1.47618 | − | 0.591124i | ||||
\(641\) | −21.1148 | − | 12.1906i | −0.833983 | − | 0.481500i | 0.0212316 | − | 0.999775i | \(-0.493241\pi\) |
−0.855214 | + | 0.518274i | \(0.826575\pi\) | |||||||
\(642\) | −2.82072 | − | 8.29250i | −0.111325 | − | 0.327279i | ||||
\(643\) | −7.88201 | −0.310836 | −0.155418 | − | 0.987849i | \(-0.549672\pi\) | ||||
−0.155418 | + | 0.987849i | \(0.549672\pi\) | |||||||
\(644\) | −11.7043 | − | 11.5010i | −0.461214 | − | 0.453202i | ||||
\(645\) | 9.35808 | − | 19.8515i | 0.368474 | − | 0.781652i | ||||
\(646\) | −33.7057 | + | 32.5780i | −1.32613 | + | 1.28176i | ||||
\(647\) | −2.44506 | + | 4.23496i | −0.0961251 | + | 0.166494i | −0.910078 | − | 0.414438i | \(-0.863978\pi\) |
0.813953 | + | 0.580931i | \(0.197312\pi\) | |||||||
\(648\) | −25.4510 | + | 0.496819i | −0.999810 | + | 0.0195169i | ||||
\(649\) | 0.396017 | + | 0.685921i | 0.0155450 | + | 0.0269247i | ||||
\(650\) | −2.09308 | − | 8.37916i | −0.0820975 | − | 0.328658i | ||||
\(651\) | 21.6783 | − | 8.85209i | 0.849639 | − | 0.346941i | ||||
\(652\) | −36.7164 | + | 19.5640i | −1.43793 | + | 0.766186i | ||||
\(653\) | 21.3381 | + | 36.9587i | 0.835024 | + | 1.44630i | 0.894011 | + | 0.448045i | \(0.147880\pi\) |
−0.0589868 | + | 0.998259i | \(0.518787\pi\) | |||||||
\(654\) | −0.909541 | + | 1.03844i | −0.0355659 | + | 0.0406064i | ||||
\(655\) | 4.14651 | + | 2.39399i | 0.162018 | + | 0.0935410i | ||||
\(656\) | −2.75937 | + | 40.4868i | −0.107735 | + | 1.58074i | ||||
\(657\) | 15.8712 | + | 19.2388i | 0.619195 | + | 0.750576i | ||||
\(658\) | −16.1528 | + | 0.416414i | −0.629702 | + | 0.0162335i | ||||
\(659\) | − | 33.4550i | − | 1.30322i | −0.758553 | − | 0.651611i | \(-0.774093\pi\) | ||
0.758553 | − | 0.651611i | \(-0.225907\pi\) | |||||||
\(660\) | −3.05733 | − | 4.74202i | −0.119006 | − | 0.184583i | ||||
\(661\) | 11.2595 | + | 6.50067i | 0.437944 | + | 0.252847i | 0.702725 | − | 0.711462i | \(-0.251966\pi\) |
−0.264781 | + | 0.964308i | \(0.585300\pi\) | |||||||
\(662\) | −5.34109 | + | 18.6576i | −0.207587 | + | 0.725149i | ||||
\(663\) | −8.73478 | + | 0.727436i | −0.339231 | + | 0.0282513i | ||||
\(664\) | −1.31539 | − | 1.45701i | −0.0510470 | − | 0.0565429i | ||||
\(665\) | 48.0615 | + | 10.6977i | 1.86374 | + | 0.414838i | ||||
\(666\) | −8.42463 | + | 11.4046i | −0.326448 | + | 0.441919i | ||||
\(667\) | −4.03665 | − | 6.99168i | −0.156300 | − | 0.270719i | ||||
\(668\) | −0.512931 | + | 15.0694i | −0.0198459 | + | 0.583052i | ||||
\(669\) | 10.0328 | − | 6.96278i | 0.387891 | − | 0.269197i | ||||
\(670\) | −0.0684356 | − | 0.0708046i | −0.00264390 | − | 0.00273542i | ||||
\(671\) | −2.43756 | −0.0941009 | ||||||||
\(672\) | 25.9014 | − | 1.05770i | 0.999167 | − | 0.0408016i | ||||
\(673\) | −12.3531 | −0.476179 | −0.238089 | − | 0.971243i | \(-0.576521\pi\) | ||||
−0.238089 | + | 0.971243i | \(0.576521\pi\) | |||||||
\(674\) | 15.4639 | + | 15.9992i | 0.595646 | + | 0.616265i | ||||
\(675\) | −10.7584 | + | 38.2278i | −0.414090 | + | 1.47139i | ||||
\(676\) | −0.841033 | + | 24.7087i | −0.0323474 | + | 0.950334i | ||||
\(677\) | 2.07866 | + | 3.60034i | 0.0798894 | + | 0.138372i | 0.903202 | − | 0.429216i | \(-0.141210\pi\) |
−0.823313 | + | 0.567588i | \(0.807877\pi\) | |||||||
\(678\) | −3.39894 | − | 0.673878i | −0.130535 | − | 0.0258801i | ||||
\(679\) | 5.59650 | + | 17.8024i | 0.214774 | + | 0.683193i | ||||
\(680\) | 42.6801 | + | 47.2751i | 1.63671 | + | 1.81292i | ||||
\(681\) | −2.98246 | − | 35.8122i | −0.114288 | − | 1.37233i | ||||
\(682\) | −0.911007 | + | 3.18235i | −0.0348843 | + | 0.121859i | ||||
\(683\) | −11.5310 | − | 6.65741i | −0.441221 | − | 0.254739i | 0.262895 | − | 0.964825i | \(-0.415323\pi\) |
−0.704115 | + | 0.710086i | \(0.748656\pi\) | |||||||
\(684\) | 4.13799 | + | 31.1298i | 0.158220 | + | 1.19028i | ||||
\(685\) | − | 31.9892i | − | 1.22224i | ||||||
\(686\) | 2.91032 | + | 26.0294i | 0.111117 | + | 0.993807i | ||||
\(687\) | 34.4542 | + | 16.2419i | 1.31451 | + | 0.619665i | ||||
\(688\) | −14.2214 | − | 0.969255i | −0.542184 | − | 0.0369525i | ||||
\(689\) | −1.61810 | − | 0.934208i | −0.0616445 | − | 0.0355905i | ||||
\(690\) | −20.3174 | − | 17.7954i | −0.773472 | − | 0.677460i | ||||
\(691\) | 7.57239 | + | 13.1158i | 0.288067 | + | 0.498947i | 0.973348 | − | 0.229332i | \(-0.0736540\pi\) |
−0.685281 | + | 0.728279i | \(0.740321\pi\) | |||||||
\(692\) | −27.4504 | + | 14.6267i | −1.04351 | + | 0.556024i | ||||
\(693\) | 3.04833 | + | 1.98167i | 0.115796 | + | 0.0752775i | ||||
\(694\) | −7.33338 | − | 29.3575i | −0.278371 | − | 1.11439i | ||||
\(695\) | −28.4765 | − | 49.3228i | −1.08018 | − | 1.87092i | ||||
\(696\) | 12.4189 | + | 2.90450i | 0.470737 | + | 0.110095i | ||||
\(697\) | 32.1248 | − | 55.6418i | 1.21681 | − | 2.10758i | ||||
\(698\) | 15.9919 | − | 15.4568i | 0.605301 | − | 0.585048i | ||||
\(699\) | −27.3894 | − | 12.9115i | −1.03596 | − | 0.488357i | ||||
\(700\) | 10.1244 | − | 39.1537i | 0.382666 | − | 1.47987i | ||||
\(701\) | −51.6538 | −1.95094 | −0.975468 | − | 0.220142i | \(-0.929348\pi\) | ||||
−0.975468 | + | 0.220142i | \(0.929348\pi\) | |||||||
\(702\) | −3.08489 | + | 4.99625i | −0.116432 | + | 0.188571i | ||||
\(703\) | 15.1483 | + | 8.74585i | 0.571327 | + | 0.329856i | ||||
\(704\) | −2.14614 | + | 2.97040i | −0.0808856 | + | 0.111951i | ||||
\(705\) | −26.5038 | + | 2.20725i | −0.998192 | + | 0.0831299i | ||||
\(706\) | −4.02975 | − | 16.1321i | −0.151662 | − | 0.607141i | ||||
\(707\) | 17.2694 | + | 3.84388i | 0.649483 | + | 0.144564i | ||||
\(708\) | −5.98241 | + | 0.293756i | −0.224833 | + | 0.0110400i | ||||
\(709\) | −44.7941 | + | 25.8619i | −1.68228 | + | 0.971263i | −0.722134 | + | 0.691753i | \(0.756839\pi\) |
−0.960143 | + | 0.279510i | \(0.909828\pi\) | |||||||
\(710\) | −12.5108 | + | 43.7030i | −0.469521 | + | 1.64014i | ||||
\(711\) | −6.23580 | − | 37.1789i | −0.233861 | − | 1.39432i | ||||
\(712\) | 7.05796 | − | 21.8203i | 0.264508 | − | 0.817751i | ||||
\(713\) | 15.8457i | 0.593427i | ||||||||
\(714\) | −37.5632 | − | 16.5381i | −1.40577 | − | 0.618923i | ||||
\(715\) | −1.30147 | −0.0486724 | ||||||||
\(716\) | 9.54702 | − | 15.3085i | 0.356789 | − | 0.572104i | ||||
\(717\) | 6.52307 | + | 9.39924i | 0.243608 | + | 0.351021i | ||||
\(718\) | −7.98966 | + | 27.9097i | −0.298171 | + | 1.04158i | ||||
\(719\) | −18.9896 | − | 32.8909i | −0.708191 | − | 1.22662i | −0.965527 | − | 0.260302i | \(-0.916178\pi\) |
0.257336 | − | 0.966322i | \(-0.417155\pi\) | |||||||
\(720\) | 42.4627 | − | 4.18019i | 1.58249 | − | 0.155787i | ||||
\(721\) | 12.3506 | + | 11.3365i | 0.459960 | + | 0.422193i | ||||
\(722\) | 11.5170 | − | 2.87691i | 0.428620 | − | 0.107068i | ||||
\(723\) | 18.2260 | − | 1.51787i | 0.677831 | − | 0.0564500i | ||||
\(724\) | 20.7961 | + | 0.707858i | 0.772882 | + | 0.0263073i | ||||
\(725\) | 9.94856 | − | 17.2314i | 0.369480 | − | 0.639958i | ||||
\(726\) | 25.0224 | − | 8.51145i | 0.928669 | − | 0.315890i | ||||
\(727\) | − | 15.9886i | − | 0.592984i | −0.955035 | − | 0.296492i | \(-0.904183\pi\) | ||
0.955035 | − | 0.296492i | \(-0.0958167\pi\) | |||||||
\(728\) | 3.03244 | − | 5.15367i | 0.112390 | − | 0.191008i | ||||
\(729\) | 23.7137 | − | 12.9097i | 0.878285 | − | 0.478137i | ||||
\(730\) | −29.0528 | − | 30.0585i | −1.07529 | − | 1.11252i | ||||
\(731\) | 19.5447 | + | 11.2842i | 0.722888 | + | 0.417359i | ||||
\(732\) | 8.42279 | − | 16.3968i | 0.311315 | − | 0.606044i | ||||
\(733\) | 10.1169 | − | 5.84098i | 0.373675 | − | 0.215741i | −0.301388 | − | 0.953502i | \(-0.597450\pi\) |
0.675063 | + | 0.737760i | \(0.264117\pi\) | |||||||
\(734\) | 7.88701 | + | 31.5738i | 0.291115 | + | 1.16541i | ||||
\(735\) | 7.23659 | + | 42.4984i | 0.266925 | + | 1.56758i | ||||
\(736\) | −5.96344 | + | 16.4975i | −0.219815 | + | 0.608105i | ||||
\(737\) | −0.00776859 | + | 0.00448520i | −0.000286160 | + | 0.000165214i | ||||
\(738\) | −17.1951 | − | 39.4584i | −0.632961 | − | 1.45248i | ||||
\(739\) | 8.47946 | − | 14.6869i | 0.311922 | − | 0.540265i | −0.666857 | − | 0.745186i | \(-0.732361\pi\) |
0.978778 | + | 0.204922i | \(0.0656939\pi\) | |||||||
\(740\) | 12.5762 | − | 20.1657i | 0.462312 | − | 0.741307i | ||||
\(741\) | 6.55231 | + | 3.08878i | 0.240705 | + | 0.113469i | ||||
\(742\) | −4.56829 | − | 7.46158i | −0.167707 | − | 0.273923i | ||||
\(743\) | 14.5437 | 0.533558 | 0.266779 | − | 0.963758i | \(-0.414041\pi\) | ||||
0.266779 | + | 0.963758i | \(0.414041\pi\) | |||||||
\(744\) | −18.2590 | − | 17.1245i | −0.669406 | − | 0.627814i | ||||
\(745\) | −11.8883 | + | 20.5911i | −0.435553 | + | 0.754400i | ||||
\(746\) | 34.0109 | + | 9.73625i | 1.24523 | + | 0.356469i | ||||
\(747\) | 1.95043 | + | 0.728412i | 0.0713626 | + | 0.0266512i | ||||
\(748\) | 5.12044 | − | 2.72838i | 0.187222 | − | 0.0997594i | ||||
\(749\) | −6.96991 | − | 6.39761i | −0.254675 | − | 0.233764i | ||||
\(750\) | 4.47626 | − | 22.5776i | 0.163450 | − | 0.824416i | ||||
\(751\) | 9.37421 | − | 5.41220i | 0.342070 | − | 0.197494i | −0.319117 | − | 0.947715i | \(-0.603386\pi\) |
0.661187 | + | 0.750221i | \(0.270053\pi\) | |||||||
\(752\) | 7.59971 | + | 15.5122i | 0.277133 | + | 0.565673i | ||||
\(753\) | −9.48607 | + | 6.58333i | −0.345692 | + | 0.239910i | ||||
\(754\) | 2.11537 | − | 2.04459i | 0.0770372 | − | 0.0744597i | ||||
\(755\) | 15.0384i | 0.547303i | ||||||||
\(756\) | −23.8634 | + | 13.6578i | −0.867905 | + | 0.496730i | ||||
\(757\) | 13.5121i | 0.491105i | 0.969383 | + | 0.245552i | \(0.0789694\pi\) | ||||
−0.969383 | + | 0.245552i | \(0.921031\pi\) | |||||||
\(758\) | 11.5391 | + | 11.9386i | 0.419119 | + | 0.433628i | ||||
\(759\) | −2.02131 | + | 1.40279i | −0.0733690 | + | 0.0509181i | ||||
\(760\) | −11.0120 | − | 51.4725i | −0.399447 | − | 1.86710i | ||||
\(761\) | 22.5165 | − | 12.9999i | 0.816221 | − | 0.471245i | −0.0328907 | − | 0.999459i | \(-0.510471\pi\) |
0.849111 | + | 0.528214i | \(0.177138\pi\) | |||||||
\(762\) | 37.7331 | + | 7.48100i | 1.36692 | + | 0.271008i | ||||
\(763\) | −0.323955 | + | 1.45543i | −0.0117280 | + | 0.0526903i | ||||
\(764\) | 25.9054 | − | 13.8035i | 0.937226 | − | 0.499393i | ||||
\(765\) | −63.2850 | − | 23.6345i | −2.28808 | − | 0.854509i | ||||
\(766\) | −6.95325 | + | 24.2893i | −0.251231 | + | 0.877607i | ||||
\(767\) | −0.690812 | + | 1.19652i | −0.0249438 | + | 0.0432039i | ||||
\(768\) | −12.5653 | − | 24.7005i | −0.453411 | − | 0.891302i | ||||
\(769\) | 3.84206 | 0.138548 | 0.0692741 | − | 0.997598i | \(-0.477932\pi\) | ||||
0.0692741 | + | 0.997598i | \(0.477932\pi\) | |||||||
\(770\) | −5.35453 | − | 2.91009i | −0.192964 | − | 0.104872i | ||||
\(771\) | 1.60617 | + | 0.757155i | 0.0578449 | + | 0.0272683i | ||||
\(772\) | 27.3754 | + | 17.0725i | 0.985264 | + | 0.614454i | ||||
\(773\) | 18.3710 | − | 31.8195i | 0.660760 | − | 1.14447i | −0.319657 | − | 0.947533i | \(-0.603568\pi\) |
0.980416 | − | 0.196936i | \(-0.0630991\pi\) | |||||||
\(774\) | 13.8602 | − | 6.03995i | 0.498193 | − | 0.217102i | ||||
\(775\) | −33.8206 | + | 19.5263i | −1.21487 | + | 0.701407i | ||||
\(776\) | 14.8079 | − | 13.3686i | 0.531574 | − | 0.479906i | ||||
\(777\) | −2.07526 | + | 15.1736i | −0.0744496 | + | 0.544351i | ||||
\(778\) | 35.5251 | − | 8.87405i | 1.27364 | − | 0.318150i | ||||
\(779\) | −45.9852 | + | 26.5495i | −1.64759 | + | 0.951236i | ||||
\(780\) | 4.49714 | − | 8.75468i | 0.161024 | − | 0.313468i | ||||
\(781\) | 3.58628 | + | 2.07054i | 0.128327 | + | 0.0740897i | ||||
\(782\) | 19.9703 | − | 19.3021i | 0.714137 | − | 0.690243i | ||||
\(783\) | −13.1096 | + | 3.33718i | −0.468499 | + | 0.119261i | ||||
\(784\) | 23.9997 | − | 14.4227i | 0.857131 | − | 0.515098i | ||||
\(785\) | − | 81.8606i | − | 2.92173i | ||||||
\(786\) | 1.06220 | + | 3.12272i | 0.0378875 | + | 0.111384i | ||||
\(787\) | 19.1854 | − | 33.2301i | 0.683886 | − | 1.18453i | −0.289899 | − | 0.957057i | \(-0.593622\pi\) |
0.973785 | − | 0.227469i | \(-0.0730450\pi\) | |||||||
\(788\) | −1.49326 | + | 43.8705i | −0.0531953 | + | 1.56282i | ||||
\(789\) | 29.6957 | − | 2.47307i | 1.05719 | − | 0.0880436i | ||||
\(790\) | 15.3136 | + | 61.3044i | 0.544834 | + | 2.18111i | ||||
\(791\) | −3.57046 | + | 1.12244i | −0.126951 | + | 0.0399093i | ||||
\(792\) | 0.568005 | − | 3.84515i | 0.0201832 | − | 0.136631i | ||||
\(793\) | −2.12604 | − | 3.68241i | −0.0754979 | − | 0.130766i | ||||
\(794\) | −27.4801 | − | 7.86669i | −0.975234 | − | 0.279178i | ||||
\(795\) | −8.21036 | − | 11.8305i | −0.291192 | − | 0.419585i | ||||
\(796\) | −16.8855 | + | 27.0755i | −0.598490 | + | 0.959666i | ||||
\(797\) | −25.0108 | −0.885927 | −0.442964 | − | 0.896540i | \(-0.646073\pi\) | ||||
−0.442964 | + | 0.896540i | \(0.646073\pi\) | |||||||
\(798\) | 20.0510 | + | 27.3588i | 0.709799 | + | 0.968491i | ||||
\(799\) | − | 27.3489i | − | 0.967535i | ||||||
\(800\) | −42.5603 | + | 7.60131i | −1.50474 | + | 0.268747i | ||||
\(801\) | 4.02361 | + | 23.9895i | 0.142167 | + | 0.847626i | ||||
\(802\) | 50.3849 | + | 14.4236i | 1.77915 | + | 0.509315i | ||||
\(803\) | −3.29798 | + | 1.90409i | −0.116383 | + | 0.0671939i | ||||
\(804\) | −0.00332702 | − | 0.0677555i | −0.000117335 | − | 0.00238955i | ||||
\(805\) | −28.4760 | − | 6.33828i | −1.00365 | − | 0.223395i | ||||
\(806\) | −5.60215 | + | 1.39940i | −0.197327 | + | 0.0492916i | ||||
\(807\) | 13.5544 | − | 1.12882i | 0.477138 | − | 0.0397363i | ||||
\(808\) | −3.95682 | − | 18.4951i | −0.139200 | − | 0.650654i | ||||
\(809\) | 32.0756 | + | 18.5188i | 1.12772 | + | 0.651087i | 0.943360 | − | 0.331772i | \(-0.107646\pi\) |
0.184357 | + | 0.982859i | \(0.440980\pi\) | |||||||
\(810\) | −37.9258 | + | 24.6932i | −1.33258 | + | 0.867630i | ||||
\(811\) | 1.97747 | 0.0694383 | 0.0347192 | − | 0.999397i | \(-0.488946\pi\) | ||||
0.0347192 | + | 0.999397i | \(0.488946\pi\) | |||||||
\(812\) | 13.2748 | − | 3.68192i | 0.465853 | − | 0.129210i | ||||
\(813\) | −28.4197 | − | 13.3972i | −0.996722 | − | 0.469859i | ||||
\(814\) | −1.50461 | − | 1.55669i | −0.0527364 | − | 0.0545620i | ||||
\(815\) | −36.9820 | + | 64.0546i | −1.29542 | + | 2.24374i | ||||
\(816\) | 0.659836 | + | 43.8716i | 0.0230989 | + | 1.53581i | ||||
\(817\) | −9.32578 | − | 16.1527i | −0.326268 | − | 0.565112i | ||||
\(818\) | 39.8731 | − | 9.96015i | 1.39413 | − | 0.348249i | ||||
\(819\) | −0.334947 | + | 6.33351i | −0.0117040 | + | 0.221311i | ||||
\(820\) | 33.9265 | + | 63.6709i | 1.18476 | + | 2.22348i | ||||
\(821\) | 6.85902 | + | 11.8802i | 0.239382 | + | 0.414621i | 0.960537 | − | 0.278152i | \(-0.0897220\pi\) |
−0.721155 | + | 0.692773i | \(0.756389\pi\) | |||||||
\(822\) | 14.5198 | − | 16.5776i | 0.506437 | − | 0.578211i | ||||
\(823\) | −34.0169 | − | 19.6397i | −1.18575 | − | 0.684596i | −0.228416 | − | 0.973564i | \(-0.573354\pi\) |
−0.957339 | + | 0.288968i | \(0.906688\pi\) | |||||||
\(824\) | 5.51570 | − | 17.0523i | 0.192148 | − | 0.594045i | ||||
\(825\) | −5.48490 | − | 2.58560i | −0.190960 | − | 0.0900191i | ||||
\(826\) | −5.51755 | + | 3.37808i | −0.191980 | + | 0.117538i | ||||
\(827\) | 26.9376i | 0.936713i | 0.883540 | + | 0.468356i | \(0.155154\pi\) | ||||
−0.883540 | + | 0.468356i | \(0.844846\pi\) | |||||||
\(828\) | −2.45172 | − | 18.4441i | −0.0852032 | − | 0.640976i | ||||
\(829\) | 17.5320 | + | 10.1221i | 0.608910 | + | 0.351554i | 0.772539 | − | 0.634968i | \(-0.218987\pi\) |
−0.163629 | + | 0.986522i | \(0.552320\pi\) | |||||||
\(830\) | −3.35501 | − | 0.960433i | −0.116454 | − | 0.0333371i | ||||
\(831\) | 3.20185 | + | 38.4466i | 0.111071 | + | 1.33370i | ||||
\(832\) | −6.35923 | − | 0.651378i | −0.220467 | − | 0.0225825i | ||||
\(833\) | −44.1690 | + | 3.78891i | −1.53036 | + | 0.131278i | ||||
\(834\) | 7.63024 | − | 38.4858i | 0.264213 | − | 1.33265i | ||||
\(835\) | 13.4032 | + | 23.2150i | 0.463836 | + | 0.803387i | ||||
\(836\) | −4.79227 | − | 0.163119i | −0.165744 | − | 0.00564159i | ||||
\(837\) | 25.5584 | + | 7.19285i | 0.883426 | + | 0.248621i | ||||
\(838\) | 1.29394 | − | 1.25065i | 0.0446985 | − | 0.0432029i | ||||
\(839\) | 45.3448 | 1.56548 | 0.782738 | − | 0.622352i | \(-0.213823\pi\) | ||||
0.782738 | + | 0.622352i | \(0.213823\pi\) | |||||||
\(840\) | 38.0776 | − | 25.9630i | 1.31380 | − | 0.895808i | ||||
\(841\) | −22.2223 | −0.766286 | ||||||||
\(842\) | 12.3047 | − | 11.8930i | 0.424050 | − | 0.409861i | ||||
\(843\) | 25.4863 | − | 17.6875i | 0.877794 | − | 0.609189i | ||||
\(844\) | −1.42824 | + | 41.9604i | −0.0491622 | + | 1.44434i | ||||
\(845\) | 21.9767 | + | 38.0647i | 0.756020 | + | 1.30946i | ||||
\(846\) | −14.7368 | − | 10.8862i | −0.506663 | − | 0.374274i | ||||
\(847\) | 19.3046 | − | 21.0315i | 0.663315 | − | 0.722652i | ||||
\(848\) | −5.21647 | + | 7.76323i | −0.179134 | + | 0.266591i | ||||
\(849\) | 7.74258 | − | 0.644805i | 0.265725 | − | 0.0221297i | ||||
\(850\) | 65.8069 | + | 18.8384i | 2.25716 | + | 0.646153i | ||||
\(851\) | −8.97520 | − | 5.18183i | −0.307666 | − | 0.177631i | ||||
\(852\) | −26.3201 | + | 16.9694i | −0.901712 | + | 0.581362i | ||||
\(853\) | 37.8961i | 1.29754i | 0.760986 | + | 0.648769i | \(0.224716\pi\) | ||||
−0.760986 | + | 0.648769i | \(0.775284\pi\) | |||||||
\(854\) | −0.513118 | − | 19.9040i | −0.0175585 | − | 0.681101i | ||||
\(855\) | 35.5284 | + | 43.0668i | 1.21505 | + | 1.47285i | ||||
\(856\) | −3.11272 | + | 9.62326i | −0.106391 | + | 0.328916i | ||||
\(857\) | −30.1090 | − | 17.3834i | −1.02850 | − | 0.593806i | −0.111947 | − | 0.993714i | \(-0.535709\pi\) |
−0.916555 | + | 0.399908i | \(0.869042\pi\) | |||||||
\(858\) | −0.674458 | − | 0.590736i | −0.0230256 | − | 0.0201674i | ||||
\(859\) | −17.5062 | − | 30.3217i | −0.597305 | − | 1.03456i | −0.993217 | − | 0.116274i | \(-0.962905\pi\) |
0.395912 | − | 0.918288i | \(-0.370428\pi\) | |||||||
\(860\) | −22.3650 | + | 11.9170i | −0.762640 | + | 0.406366i | ||||
\(861\) | −36.7411 | − | 28.4869i | −1.25213 | − | 0.970831i | ||||
\(862\) | −22.9505 | + | 5.73294i | −0.781696 | + | 0.195265i | ||||
\(863\) | 11.8510 | + | 20.5265i | 0.403413 | + | 0.698732i | 0.994135 | − | 0.108143i | \(-0.0344905\pi\) |
−0.590722 | + | 0.806875i | \(0.701157\pi\) | |||||||
\(864\) | 23.9026 | + | 17.1074i | 0.813184 | + | 0.582007i | ||||
\(865\) | −27.6490 | + | 47.8894i | −0.940093 | + | 1.62829i | ||||
\(866\) | 13.9277 | + | 14.4099i | 0.473283 | + | 0.489667i | ||||
\(867\) | 17.0658 | − | 36.2021i | 0.579586 | − | 1.22949i | ||||
\(868\) | −26.1774 | − | 6.76897i | −0.888520 | − | 0.229754i | ||||
\(869\) | 5.75618 | 0.195265 | ||||||||
\(870\) | 21.4666 | − | 7.30192i | 0.727786 | − | 0.247558i | ||||
\(871\) | −0.0135515 | − | 0.00782398i | −0.000459176 | − | 0.000265106i | ||||
\(872\) | 1.55873 | − | 0.333474i | 0.0527852 | − | 0.0112928i | ||||
\(873\) | −7.40303 | + | 19.8227i | −0.250554 | + | 0.670897i | ||||
\(874\) | −22.2694 | + | 5.56281i | −0.753274 | + | 0.188165i | ||||
\(875\) | −7.45583 | − | 23.7169i | −0.252053 | − | 0.801777i | ||||
\(876\) | −1.41241 | − | 28.7641i | −0.0477209 | − | 0.971848i | ||||
\(877\) | 6.02275 | − | 3.47724i | 0.203374 | − | 0.117418i | −0.394854 | − | 0.918744i | \(-0.629205\pi\) |
0.598228 | + | 0.801326i | \(0.295872\pi\) | |||||||
\(878\) | −35.0666 | − | 10.0385i | −1.18344 | − | 0.338782i | ||||
\(879\) | 24.4621 | + | 35.2480i | 0.825086 | + | 1.18889i | ||||
\(880\) | −0.443002 | + | 6.49993i | −0.0149336 | + | 0.219113i | ||||
\(881\) | 23.8500i | 0.803528i | 0.915743 | + | 0.401764i | \(0.131603\pi\) | ||||
−0.915743 | + | 0.401764i | \(0.868397\pi\) | |||||||
\(882\) | −15.5397 | + | 25.3084i | −0.523250 | + | 0.852179i | ||||
\(883\) | 32.0357 | 1.07809 | 0.539044 | − | 0.842278i | \(-0.318786\pi\) | ||||
0.539044 | + | 0.842278i | \(0.318786\pi\) | |||||||
\(884\) | 8.58780 | + | 5.35573i | 0.288839 | + | 0.180133i | ||||
\(885\) | −8.74821 | + | 6.07125i | −0.294068 | + | 0.204083i | ||||
\(886\) | −47.7248 | − | 13.6621i | −1.60335 | − | 0.458988i | ||||
\(887\) | −25.4399 | − | 44.0633i | −0.854190 | − | 1.47950i | −0.877395 | − | 0.479769i | \(-0.840720\pi\) |
0.0232053 | − | 0.999731i | \(-0.492613\pi\) | |||||||
\(888\) | 15.6705 | − | 4.74208i | 0.525868 | − | 0.159134i | ||||
\(889\) | 39.6372 | − | 12.4607i | 1.32939 | − | 0.417917i | ||||
\(890\) | −9.88101 | − | 39.5563i | −0.331212 | − | 1.32593i | ||||
\(891\) | 1.34510 | + | 3.89705i | 0.0450625 | + | 0.130556i | ||||
\(892\) | −14.0933 | − | 0.479706i | −0.471878 | − | 0.0160618i | ||||
\(893\) | −11.3012 | + | 19.5743i | −0.378182 | + | 0.655030i | ||||
\(894\) | −15.5071 | + | 5.27478i | −0.518634 | + | 0.176415i | ||||
\(895\) | − | 32.0747i | − | 1.07214i | ||||||
\(896\) | −24.7067 | − | 16.8991i | −0.825392 | − | 0.564559i | ||||
\(897\) | −3.88218 | − | 1.83007i | −0.129622 | − | 0.0611044i | ||||
\(898\) | −14.1234 | + | 13.6508i | −0.471303 | + | 0.455533i | ||||
\(899\) | −11.5206 | − | 6.65141i | −0.384233 | − | 0.221837i | ||||
\(900\) | 36.3453 | − | 27.9612i | 1.21151 | − | 0.932039i | ||||
\(901\) | 12.8243 | − | 7.40413i | 0.427241 | − | 0.246667i | ||||
\(902\) | 6.37625 | − | 1.59276i | 0.212306 | − | 0.0530332i | ||||
\(903\) | 10.0063 | − | 12.9057i | 0.332989 | − | 0.429474i | ||||
\(904\) | 2.68122 | + | 2.96989i | 0.0891761 | + | 0.0987770i | ||||
\(905\) | 32.0372 | − | 18.4967i | 1.06495 | − | 0.614851i | ||||
\(906\) | −6.82589 | + | 7.79327i | −0.226775 | + | 0.258914i | ||||
\(907\) | 5.21438 | − | 9.03157i | 0.173141 | − | 0.299888i | −0.766376 | − | 0.642393i | \(-0.777942\pi\) |
0.939516 | + | 0.342504i | \(0.111275\pi\) | |||||||
\(908\) | −21.9583 | + | 35.2096i | −0.728710 | + | 1.16847i | ||||
\(909\) | 12.7660 | + | 15.4747i | 0.423423 | + | 0.513264i | ||||
\(910\) | −0.273967 | − | 10.6273i | −0.00908191 | − | 0.352290i | ||||
\(911\) | 9.95365 | 0.329779 | 0.164889 | − | 0.986312i | \(-0.447273\pi\) | ||||
0.164889 | + | 0.986312i | \(0.447273\pi\) | |||||||
\(912\) | 17.6565 | − | 31.6727i | 0.584667 | − | 1.04879i | ||||
\(913\) | −0.158952 | + | 0.275313i | −0.00526055 | + | 0.00911153i | ||||
\(914\) | 2.93683 | − | 10.2590i | 0.0971416 | − | 0.339338i | ||||
\(915\) | −2.71984 | − | 32.6589i | −0.0899152 | − | 1.07967i | ||||
\(916\) | −20.6831 | − | 38.8166i | −0.683389 | − | 1.28254i | ||||
\(917\) | 2.62467 | + | 2.40916i | 0.0866742 | + | 0.0795574i | ||||
\(918\) | −22.0683 | − | 40.9730i | −0.728361 | − | 1.35231i | ||||
\(919\) | 7.23519 | − | 4.17724i | 0.238667 | − | 0.137794i | −0.375897 | − | 0.926661i | \(-0.622665\pi\) |
0.614564 | + | 0.788867i | \(0.289332\pi\) | |||||||
\(920\) | 6.52450 | + | 30.4970i | 0.215106 | + | 1.00546i | ||||
\(921\) | −7.62556 | − | 10.9879i | −0.251271 | − | 0.362062i | ||||
\(922\) | −17.3313 | − | 17.9313i | −0.570778 | − | 0.590536i | ||||
\(923\) | 7.22370i | 0.237771i | ||||||||
\(924\) | −1.45397 | − | 3.93849i | −0.0478322 | − | 0.129567i | ||||
\(925\) | − | 25.5419i | − | 0.839812i | ||||||
\(926\) | 30.0171 | − | 29.0128i | 0.986423 | − | 0.953418i | ||||
\(927\) | 3.14440 | + | 18.7474i | 0.103276 | + | 0.615747i | ||||
\(928\) | −9.49123 | − | 11.2607i | −0.311565 | − | 0.369651i | ||||
\(929\) | 45.0777 | − | 26.0256i | 1.47895 | − | 0.853872i | 0.479234 | − | 0.877687i | \(-0.340915\pi\) |
0.999716 | + | 0.0238151i | \(0.00758131\pi\) | |||||||
\(930\) | −43.6542 | − | 8.65494i | −1.43148 | − | 0.283807i | ||||
\(931\) | 33.1786 | + | 15.5399i | 1.08738 | + | 0.509300i | ||||
\(932\) | 16.4420 | + | 30.8573i | 0.538577 | + | 1.01076i | ||||
\(933\) | 34.5537 | − | 2.87765i | 1.13124 | − | 0.0942099i | ||||
\(934\) | 41.4963 | + | 11.8791i | 1.35780 | + | 0.388695i | ||||
\(935\) | 5.15747 | − | 8.93299i | 0.168667 | − | 0.292140i | ||||
\(936\) | 6.30427 | − | 2.49566i | 0.206061 | − | 0.0815732i | ||||
\(937\) | −35.8998 | −1.17280 | −0.586398 | − | 0.810023i | \(-0.699455\pi\) | ||||
−0.586398 | + | 0.810023i | \(0.699455\pi\) | |||||||
\(938\) | −0.0382594 | − | 0.0624906i | −0.00124921 | − | 0.00204039i | ||||
\(939\) | −12.6218 | + | 26.7749i | −0.411897 | + | 0.873767i | ||||
\(940\) | 26.0578 | + | 16.2508i | 0.849913 | + | 0.530043i | ||||
\(941\) | −2.74621 | + | 4.75657i | −0.0895238 | + | 0.155060i | −0.907310 | − | 0.420462i | \(-0.861868\pi\) |
0.817786 | + | 0.575522i | \(0.195201\pi\) | |||||||
\(942\) | 37.1563 | − | 42.4223i | 1.21062 | − | 1.38219i | ||||
\(943\) | 27.2458 | − | 15.7304i | 0.887245 | − | 0.512251i | ||||
\(944\) | 5.74062 | + | 3.85738i | 0.186841 | + | 0.125547i | ||||
\(945\) | −23.1494 | + | 43.0532i | −0.753051 | + | 1.40052i | ||||
\(946\) | 0.559473 | + | 2.23972i | 0.0181900 | + | 0.0728195i | ||||
\(947\) | 1.99491 | − | 1.15176i | 0.0648257 | − | 0.0374272i | −0.467237 | − | 0.884132i | \(-0.654750\pi\) |
0.532063 | + | 0.846705i | \(0.321417\pi\) | |||||||
\(948\) | −19.8900 | + | 38.7203i | −0.645998 | + | 1.25758i | ||||
\(949\) | −5.75300 | − | 3.32150i | −0.186750 | − | 0.107820i | ||||
\(950\) | −39.3152 | − | 40.6762i | −1.27555 | − | 1.31971i | ||||
\(951\) | −11.3302 | + | 24.0351i | −0.367408 | + | 0.779391i | ||||
\(952\) | 23.3566 | + | 41.2368i | 0.756991 | + | 1.33649i | ||||
\(953\) | 27.0751i | 0.877047i | 0.898720 | + | 0.438524i | \(0.144498\pi\) | ||||
−0.898720 | + | 0.438524i | \(0.855502\pi\) | |||||||
\(954\) | 1.11502 | − | 9.85754i | 0.0361000 | − | 0.319150i | ||||
\(955\) | 26.0928 | − | 45.1940i | 0.844343 | − | 1.46244i | ||||
\(956\) | 0.449412 | − | 13.2033i | 0.0145350 | − | 0.427024i | ||||
\(957\) | −0.171427 | − | 2.05843i | −0.00554144 | − | 0.0665395i | ||||
\(958\) | −0.266074 | + | 0.0664643i | −0.00859646 | + | 0.00214736i | ||||
\(959\) | 5.17159 | − | 23.2344i | 0.166999 | − | 0.750278i | ||||
\(960\) | −42.1926 | − | 25.4399i | −1.36176 | − | 0.821071i | ||||
\(961\) | −2.44506 | − | 4.23497i | −0.0788729 | − | 0.136612i | ||||
\(962\) | 1.03937 | − | 3.63075i | 0.0335106 | − | 0.117060i | ||||
\(963\) | −1.77450 | − | 10.5799i | −0.0571826 | − | 0.340932i | ||||
\(964\) | −17.9193 | − | 11.1752i | −0.577141 | − | 0.359930i | ||||
\(965\) | 57.3577 | 1.84641 | ||||||||
\(966\) | −11.8801 | − | 16.2098i | −0.382234 | − | 0.521543i | ||||
\(967\) | 33.0009i | 1.06124i | 0.847611 | + | 0.530618i | \(0.178040\pi\) | ||||
−0.847611 | + | 0.530618i | \(0.821960\pi\) | |||||||
\(968\) | −29.0379 | − | 9.39255i | −0.933315 | − | 0.301888i | ||||
\(969\) | −47.1660 | + | 32.7332i | −1.51519 | + | 1.05154i | ||||
\(970\) | 9.76111 | − | 34.0978i | 0.313410 | − | 1.09481i | ||||
\(971\) | −31.6718 | + | 18.2857i | −1.01640 | + | 0.586817i | −0.913058 | − | 0.407829i | \(-0.866286\pi\) |
−0.103339 | + | 0.994646i | \(0.532953\pi\) | |||||||
\(972\) | −30.8623 | − | 4.41782i | −0.989909 | − | 0.141702i | ||||
\(973\) | −12.7092 | − | 40.4279i | −0.407439 | − | 1.29606i | ||||
\(974\) | −6.90539 | − | 27.6441i | −0.221263 | − | 0.885774i | ||||
\(975\) | −0.877874 | − | 10.5412i | −0.0281145 | − | 0.337588i | ||||
\(976\) | −19.1147 | + | 9.36461i | −0.611845 | + | 0.299754i | ||||
\(977\) | −2.71660 | − | 1.56843i | −0.0869117 | − | 0.0501785i | 0.455914 | − | 0.890024i | \(-0.349312\pi\) |
−0.542826 | + | 0.839845i | \(0.682646\pi\) | |||||||
\(978\) | −48.2392 | + | 16.4087i | −1.54252 | + | 0.524693i | ||||
\(979\) | −3.71414 | −0.118704 | ||||||||
\(980\) | 22.6353 | − | 44.3353i | 0.723059 | − | 1.41624i | ||||
\(981\) | −1.30418 | + | 1.07590i | −0.0416393 | + | 0.0343508i | ||||
\(982\) | −4.37501 | + | 4.22863i | −0.139612 | + | 0.134941i | ||||
\(983\) | 5.06871 | − | 8.77927i | 0.161667 | − | 0.280015i | −0.773800 | − | 0.633430i | \(-0.781646\pi\) |
0.935467 | + | 0.353415i | \(0.114980\pi\) | |||||||
\(984\) | −11.3185 | + | 48.3950i | −0.360821 | + | 1.54278i | ||||
\(985\) | 39.0197 | + | 67.5842i | 1.24327 | + | 2.15341i | ||||
\(986\) | 5.65081 | + | 22.6216i | 0.179958 | + | 0.720420i | ||||
\(987\) | −19.6071 | − | 2.68162i | −0.624102 | − | 0.0853569i | ||||
\(988\) | −3.93339 | − | 7.38193i | −0.125138 | − | 0.234850i | ||||
\(989\) | 5.52544 | + | 9.57034i | 0.175699 | + | 0.304319i | ||||
\(990\) | −2.76058 | − | 6.33484i | −0.0877371 | − | 0.201334i | ||||
\(991\) | −22.8644 | − | 13.2008i | −0.726313 | − | 0.419337i | 0.0907589 | − | 0.995873i | \(-0.471071\pi\) |
−0.817072 | + | 0.576536i | \(0.804404\pi\) | |||||||
\(992\) | 5.08209 | + | 28.4550i | 0.161357 | + | 0.903448i | ||||
\(993\) | −10.1350 | + | 21.4996i | −0.321624 | + | 0.682269i | ||||
\(994\) | −16.1522 | + | 29.7198i | −0.512316 | + | 0.942655i | ||||
\(995\) | 56.7293i | 1.79844i | ||||||||
\(996\) | −1.30271 | − | 2.02055i | −0.0412781 | − | 0.0640236i | ||||
\(997\) | 0.842124 | + | 0.486200i | 0.0266703 | + | 0.0153981i | 0.513276 | − | 0.858224i | \(-0.328432\pi\) |
−0.486606 | + | 0.873622i | \(0.661765\pi\) | |||||||
\(998\) | −10.1349 | + | 35.4036i | −0.320815 | + | 1.12068i | ||||
\(999\) | −12.4322 | + | 12.1244i | −0.393336 | + | 0.383598i |
(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 | 168.2.v.a.11.7 | ✓ | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.22 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.20 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.12 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.17 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.19 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.1 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.17 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.2 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.12 | yes | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.2 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.1 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.22 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.19 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.7 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.20 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.7 | ✓ | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.12 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.11.17 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.11.22 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.7 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.12 | yes | 56 | 7.2 | even | 3 | inner | |
168.2.v.a.107.17 | yes | 56 | 21.2 | odd | 6 | inner | |
168.2.v.a.107.22 | yes | 56 | 56.51 | odd | 6 | inner | |
672.2.bd.a.431.1 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.2 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.431.19 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.431.20 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.1 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.2 | 56 | 28.23 | odd | 6 | |||
672.2.bd.a.527.19 | 56 | 84.23 | even | 6 | |||
672.2.bd.a.527.20 | 56 | 168.149 | odd | 6 |