Newspace parameters
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (of order \(9\), degree \(6\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(0.590892974957\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
Defining polynomial: |
\( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 53.2 | ||
Root | \(-2.00752 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.53 |
Dual form | 74.2.f.b.7.2 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.939693 | − | 0.342020i | −0.664463 | − | 0.241845i | ||||
\(3\) | 1.72328 | − | 0.627223i | 0.994936 | − | 0.362127i | 0.207306 | − | 0.978276i | \(-0.433530\pi\) |
0.787630 | + | 0.616149i | \(0.211308\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | −0.326352 | + | 1.85083i | −0.145949 | + | 0.827718i | 0.820651 | + | 0.571429i | \(0.193611\pi\) |
−0.966600 | + | 0.256289i | \(0.917500\pi\) | |||||||
\(6\) | −1.83388 | −0.748677 | ||||||||
\(7\) | 0.598489 | − | 3.39420i | 0.226208 | − | 1.28289i | −0.634156 | − | 0.773205i | \(-0.718652\pi\) |
0.860363 | − | 0.509681i | \(-0.170237\pi\) | |||||||
\(8\) | −0.500000 | − | 0.866025i | −0.176777 | − | 0.306186i | ||||
\(9\) | 0.278152 | − | 0.233397i | 0.0927173 | − | 0.0777991i | ||||
\(10\) | 0.939693 | − | 1.62760i | 0.297157 | − | 0.514691i | ||||
\(11\) | 1.40483 | + | 2.43324i | 0.423572 | + | 0.733649i | 0.996286 | − | 0.0861067i | \(-0.0274426\pi\) |
−0.572714 | + | 0.819756i | \(0.694109\pi\) | |||||||
\(12\) | 1.72328 | + | 0.627223i | 0.497468 | + | 0.181064i | ||||
\(13\) | −2.65877 | − | 2.23097i | −0.737409 | − | 0.618760i | 0.194731 | − | 0.980857i | \(-0.437617\pi\) |
−0.932141 | + | 0.362097i | \(0.882061\pi\) | |||||||
\(14\) | −1.72328 | + | 2.98481i | −0.460566 | + | 0.797724i | ||||
\(15\) | 0.598489 | + | 3.39420i | 0.154529 | + | 0.876378i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −2.37417 | + | 1.99217i | −0.575822 | + | 0.483172i | −0.883572 | − | 0.468295i | \(-0.844868\pi\) |
0.307750 | + | 0.951467i | \(0.400424\pi\) | |||||||
\(18\) | −0.341204 | + | 0.124188i | −0.0804225 | + | 0.0292714i | ||||
\(19\) | −6.99748 | + | 2.54687i | −1.60533 | + | 0.584293i | −0.980509 | − | 0.196474i | \(-0.937051\pi\) |
−0.624822 | + | 0.780767i | \(0.714829\pi\) | |||||||
\(20\) | −1.43969 | + | 1.20805i | −0.321925 | + | 0.270127i | ||||
\(21\) | −1.09755 | − | 6.22454i | −0.239506 | − | 1.35831i | ||||
\(22\) | −0.487893 | − | 2.76698i | −0.104019 | − | 0.589921i | ||||
\(23\) | 0.321769 | − | 0.557320i | 0.0670934 | − | 0.116209i | −0.830527 | − | 0.556978i | \(-0.811961\pi\) |
0.897621 | + | 0.440769i | \(0.145294\pi\) | |||||||
\(24\) | −1.40483 | − | 1.17879i | −0.286760 | − | 0.240620i | ||||
\(25\) | 1.37939 | + | 0.502055i | 0.275877 | + | 0.100411i | ||||
\(26\) | 1.73539 | + | 3.00578i | 0.340337 | + | 0.589482i | ||||
\(27\) | −2.41787 | + | 4.18788i | −0.465320 | + | 0.805958i | ||||
\(28\) | 2.64022 | − | 2.21541i | 0.498954 | − | 0.418672i | ||||
\(29\) | −1.08449 | − | 1.87840i | −0.201385 | − | 0.348810i | 0.747590 | − | 0.664161i | \(-0.231211\pi\) |
−0.948975 | + | 0.315351i | \(0.897878\pi\) | |||||||
\(30\) | 0.598489 | − | 3.39420i | 0.109269 | − | 0.619693i | ||||
\(31\) | 9.90716 | 1.77938 | 0.889690 | − | 0.456566i | \(-0.150921\pi\) | ||||
0.889690 | + | 0.456566i | \(0.150921\pi\) | |||||||
\(32\) | 0.173648 | − | 0.984808i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 3.94710 | + | 3.31201i | 0.687102 | + | 0.576547i | ||||
\(34\) | 2.91235 | − | 1.06001i | 0.499465 | − | 0.181790i | ||||
\(35\) | 6.08678 | + | 2.21541i | 1.02885 | + | 0.374472i | ||||
\(36\) | 0.363102 | 0.0605169 | ||||||||
\(37\) | −2.56368 | − | 5.51612i | −0.421466 | − | 0.906844i | ||||
\(38\) | 7.44656 | 1.20799 | ||||||||
\(39\) | −5.98112 | − | 2.17695i | −0.957745 | − | 0.348591i | ||||
\(40\) | 1.76604 | − | 0.642788i | 0.279236 | − | 0.101634i | ||||
\(41\) | −8.13803 | − | 6.82862i | −1.27095 | − | 1.06645i | −0.994425 | − | 0.105443i | \(-0.966374\pi\) |
−0.276521 | − | 0.961008i | \(-0.589182\pi\) | |||||||
\(42\) | −1.09755 | + | 6.22454i | −0.169356 | + | 0.960467i | ||||
\(43\) | 8.30465 | 1.26645 | 0.633224 | − | 0.773969i | \(-0.281731\pi\) | ||||
0.633224 | + | 0.773969i | \(0.281731\pi\) | |||||||
\(44\) | −0.487893 | + | 2.76698i | −0.0735526 | + | 0.417137i | ||||
\(45\) | 0.341204 | + | 0.590982i | 0.0508637 | + | 0.0880984i | ||||
\(46\) | −0.492978 | + | 0.413658i | −0.0726857 | + | 0.0609905i | ||||
\(47\) | 3.92821 | − | 6.80387i | 0.572989 | − | 0.992446i | −0.423268 | − | 0.906004i | \(-0.639117\pi\) |
0.996257 | − | 0.0864413i | \(-0.0275495\pi\) | |||||||
\(48\) | 0.916938 | + | 1.58818i | 0.132349 | + | 0.229235i | ||||
\(49\) | −4.58455 | − | 1.66864i | −0.654935 | − | 0.238377i | ||||
\(50\) | −1.12449 | − | 0.943555i | −0.159026 | − | 0.133439i | ||||
\(51\) | −2.84183 | + | 4.92220i | −0.397936 | + | 0.689246i | ||||
\(52\) | −0.602694 | − | 3.41805i | −0.0835786 | − | 0.473998i | ||||
\(53\) | 0.839394 | + | 4.76044i | 0.115300 | + | 0.653897i | 0.986601 | + | 0.163149i | \(0.0521651\pi\) |
−0.871302 | + | 0.490748i | \(0.836724\pi\) | |||||||
\(54\) | 3.70440 | − | 3.10836i | 0.504104 | − | 0.422994i | ||||
\(55\) | −4.96199 | + | 1.80602i | −0.669074 | + | 0.243523i | ||||
\(56\) | −3.23871 | + | 1.17879i | −0.432790 | + | 0.157523i | ||||
\(57\) | −10.4612 | + | 8.77795i | −1.38561 | + | 1.16267i | ||||
\(58\) | 0.376641 | + | 2.13604i | 0.0494553 | + | 0.280475i | ||||
\(59\) | 0.0961039 | + | 0.545032i | 0.0125117 | + | 0.0709572i | 0.990424 | − | 0.138057i | \(-0.0440857\pi\) |
−0.977913 | + | 0.209014i | \(0.932975\pi\) | |||||||
\(60\) | −1.72328 | + | 2.98481i | −0.222474 | + | 0.385337i | ||||
\(61\) | 5.37102 | + | 4.50682i | 0.687689 | + | 0.577039i | 0.918242 | − | 0.396020i | \(-0.129609\pi\) |
−0.230553 | + | 0.973060i | \(0.574053\pi\) | |||||||
\(62\) | −9.30969 | − | 3.38845i | −1.18233 | − | 0.430333i | ||||
\(63\) | −0.625726 | − | 1.08379i | −0.0788340 | − | 0.136545i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 4.99685 | − | 4.19285i | 0.619783 | − | 0.520060i | ||||
\(66\) | −2.57629 | − | 4.46226i | −0.317119 | − | 0.549266i | ||||
\(67\) | 0.0366435 | − | 0.207815i | 0.00447671 | − | 0.0253887i | −0.982488 | − | 0.186328i | \(-0.940341\pi\) |
0.986964 | + | 0.160939i | \(0.0514524\pi\) | |||||||
\(68\) | −3.09926 | −0.375841 | ||||||||
\(69\) | 0.204934 | − | 1.16224i | 0.0246711 | − | 0.139917i | ||||
\(70\) | −4.96199 | − | 4.16360i | −0.593071 | − | 0.497646i | ||||
\(71\) | −4.75197 | + | 1.72957i | −0.563955 | + | 0.205263i | −0.608236 | − | 0.793756i | \(-0.708123\pi\) |
0.0442811 | + | 0.999019i | \(0.485900\pi\) | |||||||
\(72\) | −0.341204 | − | 0.124188i | −0.0402113 | − | 0.0146357i | ||||
\(73\) | 10.2297 | 1.19730 | 0.598648 | − | 0.801012i | \(-0.295705\pi\) | ||||
0.598648 | + | 0.801012i | \(0.295705\pi\) | |||||||
\(74\) | 0.522449 | + | 6.06028i | 0.0607334 | + | 0.704494i | ||||
\(75\) | 2.69197 | 0.310842 | ||||||||
\(76\) | −6.99748 | − | 2.54687i | −0.802666 | − | 0.292146i | ||||
\(77\) | 9.09967 | − | 3.31201i | 1.03700 | − | 0.377438i | ||||
\(78\) | 4.87585 | + | 4.09132i | 0.552081 | + | 0.463251i | ||||
\(79\) | −0.330775 | + | 1.87592i | −0.0372151 | + | 0.211057i | −0.997745 | − | 0.0671197i | \(-0.978619\pi\) |
0.960530 | + | 0.278177i | \(0.0897302\pi\) | |||||||
\(80\) | −1.87939 | −0.210122 | ||||||||
\(81\) | −1.72910 | + | 9.80619i | −0.192122 | + | 1.08958i | ||||
\(82\) | 5.31172 | + | 9.20017i | 0.586582 | + | 1.01599i | ||||
\(83\) | 5.21650 | − | 4.37717i | 0.572586 | − | 0.480456i | −0.309917 | − | 0.950764i | \(-0.600301\pi\) |
0.882503 | + | 0.470307i | \(0.155857\pi\) | |||||||
\(84\) | 3.16028 | − | 5.47377i | 0.344815 | − | 0.597237i | ||||
\(85\) | −2.91235 | − | 5.04435i | −0.315889 | − | 0.547136i | ||||
\(86\) | −7.80382 | − | 2.84036i | −0.841507 | − | 0.306284i | ||||
\(87\) | −3.04706 | − | 2.55679i | −0.326679 | − | 0.274116i | ||||
\(88\) | 1.40483 | − | 2.43324i | 0.149755 | − | 0.259384i | ||||
\(89\) | −1.68226 | − | 9.54055i | −0.178319 | − | 1.01130i | −0.934243 | − | 0.356637i | \(-0.883923\pi\) |
0.755924 | − | 0.654659i | \(-0.227188\pi\) | |||||||
\(90\) | −0.118499 | − | 0.672040i | −0.0124909 | − | 0.0708393i | ||||
\(91\) | −9.16360 | + | 7.68917i | −0.960606 | + | 0.806044i | ||||
\(92\) | 0.604727 | − | 0.220103i | 0.0630472 | − | 0.0229473i | ||||
\(93\) | 17.0728 | − | 6.21400i | 1.77037 | − | 0.644361i | ||||
\(94\) | −6.01837 | + | 5.05001i | −0.620748 | + | 0.520869i | ||||
\(95\) | −2.43020 | − | 13.7823i | −0.249333 | − | 1.41404i | ||||
\(96\) | −0.318449 | − | 1.80602i | −0.0325016 | − | 0.184326i | ||||
\(97\) | −8.52990 | + | 14.7742i | −0.866080 | + | 1.50009i | −0.000109562 | 1.00000i | \(0.500035\pi\) | |
−0.865971 | + | 0.500095i | \(0.833298\pi\) | |||||||
\(98\) | 3.73736 | + | 3.13602i | 0.377530 | + | 0.316785i | ||||
\(99\) | 0.958667 | + | 0.348926i | 0.0963497 | + | 0.0350684i | ||||
\(100\) | 0.733956 | + | 1.27125i | 0.0733956 | + | 0.127125i | ||||
\(101\) | −5.98911 | + | 10.3734i | −0.595938 | + | 1.03220i | 0.397475 | + | 0.917613i | \(0.369886\pi\) |
−0.993414 | + | 0.114583i | \(0.963447\pi\) | |||||||
\(102\) | 4.35394 | − | 3.65339i | 0.431104 | − | 0.361739i | ||||
\(103\) | −6.47233 | − | 11.2104i | −0.637737 | − | 1.10459i | −0.985928 | − | 0.167170i | \(-0.946537\pi\) |
0.348191 | − | 0.937424i | \(-0.386796\pi\) | |||||||
\(104\) | −0.602694 | + | 3.41805i | −0.0590990 | + | 0.335167i | ||||
\(105\) | 11.8788 | 1.15925 | ||||||||
\(106\) | 0.839394 | − | 4.76044i | 0.0815291 | − | 0.462375i | ||||
\(107\) | 11.9706 | + | 10.0445i | 1.15724 | + | 0.971037i | 0.999864 | − | 0.0165017i | \(-0.00525290\pi\) |
0.157374 | + | 0.987539i | \(0.449697\pi\) | |||||||
\(108\) | −4.54411 | + | 1.65392i | −0.437258 | + | 0.159149i | ||||
\(109\) | −1.45663 | − | 0.530170i | −0.139520 | − | 0.0507810i | 0.271317 | − | 0.962490i | \(-0.412541\pi\) |
−0.410836 | + | 0.911709i | \(0.634763\pi\) | |||||||
\(110\) | 5.28044 | 0.503470 | ||||||||
\(111\) | −7.87777 | − | 7.89781i | −0.747725 | − | 0.749627i | ||||
\(112\) | 3.44656 | 0.325669 | ||||||||
\(113\) | 4.80629 | + | 1.74935i | 0.452138 | + | 0.164565i | 0.558044 | − | 0.829811i | \(-0.311552\pi\) |
−0.105906 | + | 0.994376i | \(0.533774\pi\) | |||||||
\(114\) | 12.8325 | − | 4.67065i | 1.20187 | − | 0.437446i | ||||
\(115\) | 0.926496 | + | 0.777422i | 0.0863962 | + | 0.0724950i | ||||
\(116\) | 0.376641 | − | 2.13604i | 0.0349702 | − | 0.198326i | ||||
\(117\) | −1.26024 | −0.116510 | ||||||||
\(118\) | 0.0961039 | − | 0.545032i | 0.00884708 | − | 0.0501743i | ||||
\(119\) | 5.34090 | + | 9.25071i | 0.489599 | + | 0.848011i | ||||
\(120\) | 2.64022 | − | 2.21541i | 0.241018 | − | 0.202238i | ||||
\(121\) | 1.55290 | − | 2.68971i | 0.141173 | − | 0.244519i | ||||
\(122\) | −3.50569 | − | 6.07203i | −0.317390 | − | 0.549735i | ||||
\(123\) | −18.3072 | − | 6.66326i | −1.65070 | − | 0.600806i | ||||
\(124\) | 7.58933 | + | 6.36820i | 0.681542 | + | 0.571881i | ||||
\(125\) | −6.07785 | + | 10.5271i | −0.543619 | + | 0.941576i | ||||
\(126\) | 0.217312 | + | 1.23244i | 0.0193597 | + | 0.109794i | ||||
\(127\) | −1.23207 | − | 6.98740i | −0.109328 | − | 0.620032i | −0.989403 | − | 0.145196i | \(-0.953619\pi\) |
0.880075 | − | 0.474836i | \(-0.157492\pi\) | |||||||
\(128\) | 0.766044 | − | 0.642788i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | 14.3112 | − | 5.20886i | 1.26003 | − | 0.458615i | ||||
\(130\) | −6.12954 | + | 2.23097i | −0.537596 | + | 0.195669i | ||||
\(131\) | 13.3781 | − | 11.2256i | 1.16885 | − | 0.980781i | 0.168861 | − | 0.985640i | \(-0.445991\pi\) |
0.999988 | + | 0.00485874i | \(0.00154659\pi\) | |||||||
\(132\) | 0.894734 | + | 5.07429i | 0.0778766 | + | 0.441660i | ||||
\(133\) | 4.45668 | + | 25.2751i | 0.386443 | + | 2.19163i | ||||
\(134\) | −0.105511 | + | 0.182750i | −0.00911473 | + | 0.0157872i | ||||
\(135\) | −6.96199 | − | 5.84180i | −0.599192 | − | 0.502782i | ||||
\(136\) | 2.91235 | + | 1.06001i | 0.249732 | + | 0.0908951i | ||||
\(137\) | −4.92852 | − | 8.53645i | −0.421072 | − | 0.729318i | 0.574973 | − | 0.818173i | \(-0.305013\pi\) |
−0.996045 | + | 0.0888546i | \(0.971679\pi\) | |||||||
\(138\) | −0.590084 | + | 1.02206i | −0.0502313 | + | 0.0870031i | ||||
\(139\) | −6.89049 | + | 5.78181i | −0.584444 | + | 0.490407i | −0.886403 | − | 0.462914i | \(-0.846804\pi\) |
0.301959 | + | 0.953321i | \(0.402359\pi\) | |||||||
\(140\) | 3.23871 | + | 5.60960i | 0.273721 | + | 0.474098i | ||||
\(141\) | 2.50187 | − | 14.1888i | 0.210696 | − | 1.19491i | ||||
\(142\) | 5.05694 | 0.424369 | ||||||||
\(143\) | 1.69337 | − | 9.60355i | 0.141606 | − | 0.803089i | ||||
\(144\) | 0.278152 | + | 0.233397i | 0.0231793 | + | 0.0194498i | ||||
\(145\) | 3.83053 | − | 1.39420i | 0.318108 | − | 0.115782i | ||||
\(146\) | −9.61277 | − | 3.49876i | −0.795559 | − | 0.289560i | ||||
\(147\) | −8.94707 | −0.737942 | ||||||||
\(148\) | 1.58180 | − | 5.87349i | 0.130023 | − | 0.482798i | ||||
\(149\) | −9.97301 | −0.817021 | −0.408511 | − | 0.912754i | \(-0.633952\pi\) | ||||
−0.408511 | + | 0.912754i | \(0.633952\pi\) | |||||||
\(150\) | −2.52962 | − | 0.920707i | −0.206543 | − | 0.0751754i | ||||
\(151\) | −9.07997 | + | 3.30484i | −0.738918 | + | 0.268944i | −0.683935 | − | 0.729543i | \(-0.739733\pi\) |
−0.0549831 | + | 0.998487i | \(0.517510\pi\) | |||||||
\(152\) | 5.70440 | + | 4.78656i | 0.462688 | + | 0.388241i | ||||
\(153\) | −0.195414 | + | 1.10825i | −0.0157983 | + | 0.0895968i | ||||
\(154\) | −9.68366 | −0.780332 | ||||||||
\(155\) | −3.23322 | + | 18.3365i | −0.259699 | + | 1.47282i | ||||
\(156\) | −3.18249 | − | 5.51223i | −0.254803 | − | 0.441331i | ||||
\(157\) | −6.73320 | + | 5.64982i | −0.537368 | + | 0.450905i | −0.870637 | − | 0.491927i | \(-0.836293\pi\) |
0.333269 | + | 0.942832i | \(0.391848\pi\) | |||||||
\(158\) | 0.952429 | − | 1.64965i | 0.0757712 | − | 0.131239i | ||||
\(159\) | 4.43236 | + | 7.67708i | 0.351509 | + | 0.608832i | ||||
\(160\) | 1.76604 | + | 0.642788i | 0.139618 | + | 0.0508168i | ||||
\(161\) | −1.69908 | − | 1.42570i | −0.133906 | − | 0.112361i | ||||
\(162\) | 4.97873 | − | 8.62341i | 0.391166 | − | 0.677519i | ||||
\(163\) | −0.331175 | − | 1.87819i | −0.0259397 | − | 0.147111i | 0.969087 | − | 0.246719i | \(-0.0793524\pi\) |
−0.995027 | + | 0.0996076i | \(0.968241\pi\) | |||||||
\(164\) | −1.84474 | − | 10.4620i | −0.144050 | − | 0.816949i | ||||
\(165\) | −7.41812 | + | 6.22454i | −0.577500 | + | 0.484580i | ||||
\(166\) | −6.39899 | + | 2.32904i | −0.496658 | + | 0.180769i | ||||
\(167\) | −6.22793 | + | 2.26678i | −0.481932 | + | 0.175409i | −0.571550 | − | 0.820567i | \(-0.693658\pi\) |
0.0896181 | + | 0.995976i | \(0.471435\pi\) | |||||||
\(168\) | −4.84183 | + | 4.06278i | −0.373555 | + | 0.313450i | ||||
\(169\) | −0.165612 | − | 0.939235i | −0.0127394 | − | 0.0722488i | ||||
\(170\) | 1.01145 | + | 5.73622i | 0.0775747 | + | 0.439948i | ||||
\(171\) | −1.35193 | + | 2.34161i | −0.103385 | + | 0.179067i | ||||
\(172\) | 6.36173 | + | 5.33813i | 0.485077 | + | 0.407028i | ||||
\(173\) | −23.8769 | − | 8.69049i | −1.81533 | − | 0.660725i | −0.996198 | − | 0.0871179i | \(-0.972234\pi\) |
−0.819130 | − | 0.573608i | \(-0.805543\pi\) | |||||||
\(174\) | 1.98883 | + | 3.44475i | 0.150773 | + | 0.261146i | ||||
\(175\) | 2.52962 | − | 4.38143i | 0.191221 | − | 0.331205i | ||||
\(176\) | −2.15233 | + | 1.80602i | −0.162238 | + | 0.136134i | ||||
\(177\) | 0.507471 | + | 0.878965i | 0.0381438 | + | 0.0660670i | ||||
\(178\) | −1.68226 | + | 9.54055i | −0.126090 | + | 0.715095i | ||||
\(179\) | 8.12492 | 0.607285 | 0.303643 | − | 0.952786i | \(-0.401797\pi\) | ||||
0.303643 | + | 0.952786i | \(0.401797\pi\) | |||||||
\(180\) | −0.118499 | + | 0.672040i | −0.00883238 | + | 0.0500909i | ||||
\(181\) | 9.12118 | + | 7.65358i | 0.677972 | + | 0.568886i | 0.915413 | − | 0.402516i | \(-0.131864\pi\) |
−0.237441 | + | 0.971402i | \(0.576309\pi\) | |||||||
\(182\) | 11.2408 | − | 4.09132i | 0.833225 | − | 0.303269i | ||||
\(183\) | 12.0826 | + | 4.39769i | 0.893168 | + | 0.325087i | ||||
\(184\) | −0.643537 | −0.0474422 | ||||||||
\(185\) | 11.0461 | − | 2.94475i | 0.812123 | − | 0.216502i | ||||
\(186\) | −18.1685 | −1.33218 | ||||||||
\(187\) | −8.18273 | − | 2.97827i | −0.598381 | − | 0.217793i | ||||
\(188\) | 7.38263 | − | 2.68706i | 0.538433 | − | 0.195974i | ||||
\(189\) | 12.7674 | + | 10.7131i | 0.928693 | + | 0.779266i | ||||
\(190\) | −2.43020 | + | 13.7823i | −0.176305 | + | 0.999876i | ||||
\(191\) | 0.266722 | 0.0192993 | 0.00964965 | − | 0.999953i | \(-0.496928\pi\) | ||||
0.00964965 | + | 0.999953i | \(0.496928\pi\) | |||||||
\(192\) | −0.318449 | + | 1.80602i | −0.0229821 | + | 0.130338i | ||||
\(193\) | −3.96417 | − | 6.86615i | −0.285348 | − | 0.494236i | 0.687346 | − | 0.726330i | \(-0.258776\pi\) |
−0.972693 | + | 0.232094i | \(0.925442\pi\) | |||||||
\(194\) | 13.0686 | − | 10.9658i | 0.938268 | − | 0.787301i | ||||
\(195\) | 5.98112 | − | 10.3596i | 0.428317 | − | 0.741866i | ||||
\(196\) | −2.43939 | − | 4.22514i | −0.174242 | − | 0.301796i | ||||
\(197\) | 0.386805 | + | 0.140786i | 0.0275587 | + | 0.0100306i | 0.355763 | − | 0.934576i | \(-0.384221\pi\) |
−0.328204 | + | 0.944607i | \(0.606443\pi\) | |||||||
\(198\) | −0.781513 | − | 0.655767i | −0.0555397 | − | 0.0466033i | ||||
\(199\) | 1.01751 | − | 1.76239i | 0.0721297 | − | 0.124932i | −0.827705 | − | 0.561164i | \(-0.810354\pi\) |
0.899834 | + | 0.436232i | \(0.143687\pi\) | |||||||
\(200\) | −0.254900 | − | 1.44561i | −0.0180242 | − | 0.102220i | ||||
\(201\) | −0.0671996 | − | 0.381108i | −0.00473989 | − | 0.0268813i | ||||
\(202\) | 9.17584 | − | 7.69945i | 0.645610 | − | 0.541731i | ||||
\(203\) | −7.02471 | + | 2.55679i | −0.493038 | + | 0.179451i | ||||
\(204\) | −5.34090 | + | 1.94393i | −0.373938 | + | 0.136102i | ||||
\(205\) | 15.2945 | − | 12.8336i | 1.06821 | − | 0.896338i | ||||
\(206\) | 2.24782 | + | 12.7480i | 0.156613 | + | 0.888195i | ||||
\(207\) | −0.0405763 | − | 0.230119i | −0.00282024 | − | 0.0159944i | ||||
\(208\) | 1.73539 | − | 3.00578i | 0.120327 | − | 0.208413i | ||||
\(209\) | −16.0274 | − | 13.4486i | −1.10864 | − | 0.930259i | ||||
\(210\) | −11.1624 | − | 4.06278i | −0.770278 | − | 0.280358i | ||||
\(211\) | 7.87052 | + | 13.6321i | 0.541829 | + | 0.938475i | 0.998799 | + | 0.0489932i | \(0.0156013\pi\) |
−0.456970 | + | 0.889482i | \(0.651065\pi\) | |||||||
\(212\) | −2.41694 | + | 4.18626i | −0.165996 | + | 0.287513i | ||||
\(213\) | −7.10414 | + | 5.96108i | −0.486768 | + | 0.408447i | ||||
\(214\) | −7.81323 | − | 13.5329i | −0.534101 | − | 0.925090i | ||||
\(215\) | −2.71024 | + | 15.3705i | −0.184837 | + | 1.04826i | ||||
\(216\) | 4.83575 | 0.329031 | ||||||||
\(217\) | 5.92933 | − | 33.6269i | 0.402509 | − | 2.28274i | ||||
\(218\) | 1.18745 | + | 0.996393i | 0.0804246 | + | 0.0674842i | ||||
\(219\) | 17.6286 | − | 6.41630i | 1.19123 | − | 0.433573i | ||||
\(220\) | −4.96199 | − | 1.80602i | −0.334537 | − | 0.121762i | ||||
\(221\) | 10.7568 | 0.723584 | ||||||||
\(222\) | 4.70147 | + | 10.1159i | 0.315542 | + | 0.678933i | ||||
\(223\) | −3.43531 | −0.230045 | −0.115023 | − | 0.993363i | \(-0.536694\pi\) | ||||
−0.115023 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(224\) | −3.23871 | − | 1.17879i | −0.216395 | − | 0.0787614i | ||||
\(225\) | 0.500857 | − | 0.182297i | 0.0333905 | − | 0.0121531i | ||||
\(226\) | −3.91812 | − | 3.28770i | −0.260630 | − | 0.218694i | ||||
\(227\) | −0.401614 | + | 2.27767i | −0.0266561 | + | 0.151174i | −0.995231 | − | 0.0975489i | \(-0.968900\pi\) |
0.968575 | + | 0.248723i | \(0.0800109\pi\) | |||||||
\(228\) | −13.6561 | −0.904395 | ||||||||
\(229\) | −1.02642 | + | 5.82114i | −0.0678280 | + | 0.384672i | 0.931929 | + | 0.362640i | \(0.118125\pi\) |
−0.999757 | + | 0.0220316i | \(0.992987\pi\) | |||||||
\(230\) | −0.604727 | − | 1.04742i | −0.0398745 | − | 0.0690647i | ||||
\(231\) | 13.6039 | − | 11.4150i | 0.895071 | − | 0.751054i | ||||
\(232\) | −1.08449 | + | 1.87840i | −0.0712005 | + | 0.123323i | ||||
\(233\) | 14.1679 | + | 24.5395i | 0.928168 | + | 1.60763i | 0.786386 | + | 0.617736i | \(0.211950\pi\) |
0.141782 | + | 0.989898i | \(0.454717\pi\) | |||||||
\(234\) | 1.18424 | + | 0.431029i | 0.0774163 | + | 0.0281772i | ||||
\(235\) | 11.3108 | + | 9.49092i | 0.737838 | + | 0.619120i | ||||
\(236\) | −0.276720 | + | 0.479293i | −0.0180129 | + | 0.0311993i | ||||
\(237\) | 0.606600 | + | 3.44020i | 0.0394029 | + | 0.223465i | ||||
\(238\) | −1.85487 | − | 10.5195i | −0.120234 | − | 0.681879i | ||||
\(239\) | 18.5674 | − | 15.5799i | 1.20103 | − | 1.00778i | 0.201427 | − | 0.979504i | \(-0.435442\pi\) |
0.999600 | − | 0.0282780i | \(-0.00900236\pi\) | |||||||
\(240\) | −3.23871 | + | 1.17879i | −0.209058 | + | 0.0760907i | ||||
\(241\) | −8.31692 | + | 3.02711i | −0.535740 | + | 0.194993i | −0.595700 | − | 0.803207i | \(-0.703125\pi\) |
0.0599594 | + | 0.998201i | \(0.480903\pi\) | |||||||
\(242\) | −2.37918 | + | 1.99637i | −0.152940 | + | 0.128332i | ||||
\(243\) | 0.651791 | + | 3.69649i | 0.0418124 | + | 0.237130i | ||||
\(244\) | 1.21751 | + | 6.90485i | 0.0779432 | + | 0.442038i | ||||
\(245\) | 4.58455 | − | 7.94067i | 0.292896 | − | 0.507311i | ||||
\(246\) | 14.9241 | + | 12.5228i | 0.951528 | + | 0.798427i | ||||
\(247\) | 24.2867 | + | 8.83962i | 1.54532 | + | 0.562452i | ||||
\(248\) | −4.95358 | − | 8.57985i | −0.314553 | − | 0.544821i | ||||
\(249\) | 6.24404 | − | 10.8150i | 0.395700 | − | 0.685372i | ||||
\(250\) | 9.31180 | − | 7.81353i | 0.588930 | − | 0.494171i | ||||
\(251\) | −3.29525 | − | 5.70754i | −0.207994 | − | 0.360257i | 0.743088 | − | 0.669193i | \(-0.233360\pi\) |
−0.951083 | + | 0.308937i | \(0.900027\pi\) | |||||||
\(252\) | 0.217312 | − | 1.23244i | 0.0136894 | − | 0.0776363i | ||||
\(253\) | 1.80812 | 0.113676 | ||||||||
\(254\) | −1.23207 | + | 6.98740i | −0.0773068 | + | 0.438429i | ||||
\(255\) | −8.18273 | − | 6.86613i | −0.512422 | − | 0.429973i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | −9.04522 | − | 3.29219i | −0.564225 | − | 0.205361i | 0.0441304 | − | 0.999026i | \(-0.485948\pi\) |
−0.608356 | + | 0.793665i | \(0.708171\pi\) | |||||||
\(258\) | −15.2297 | −0.948160 | ||||||||
\(259\) | −20.2571 | + | 5.40031i | −1.25872 | + | 0.335559i | ||||
\(260\) | 6.52292 | 0.404534 | ||||||||
\(261\) | −0.740067 | − | 0.269362i | −0.0458090 | − | 0.0166731i | ||||
\(262\) | −16.4107 | + | 5.97299i | −1.01385 | + | 0.369013i | ||||
\(263\) | −1.21898 | − | 1.02284i | −0.0751654 | − | 0.0630712i | 0.604431 | − | 0.796658i | \(-0.293401\pi\) |
−0.679596 | + | 0.733586i | \(0.737845\pi\) | |||||||
\(264\) | 0.894734 | − | 5.07429i | 0.0550671 | − | 0.312301i | ||||
\(265\) | −9.08472 | −0.558070 | ||||||||
\(266\) | 4.45668 | − | 25.2751i | 0.273257 | − | 1.54972i | ||||
\(267\) | −8.88305 | − | 15.3859i | −0.543634 | − | 0.941601i | ||||
\(268\) | 0.161652 | − | 0.135642i | 0.00987445 | − | 0.00828565i | ||||
\(269\) | −11.5599 | + | 20.0223i | −0.704819 | + | 1.22078i | 0.261938 | + | 0.965085i | \(0.415638\pi\) |
−0.966757 | + | 0.255697i | \(0.917695\pi\) | |||||||
\(270\) | 4.54411 | + | 7.87064i | 0.276546 | + | 0.478992i | ||||
\(271\) | −0.172362 | − | 0.0627348i | −0.0104703 | − | 0.00381087i | 0.336780 | − | 0.941583i | \(-0.390662\pi\) |
−0.347250 | + | 0.937773i | \(0.612884\pi\) | |||||||
\(272\) | −2.37417 | − | 1.99217i | −0.143955 | − | 0.120793i | ||||
\(273\) | −10.9686 | + | 18.9982i | −0.663851 | + | 1.14982i | ||||
\(274\) | 1.71166 | + | 9.70729i | 0.103405 | + | 0.586439i | ||||
\(275\) | 0.716183 | + | 4.06167i | 0.0431875 | + | 0.244928i | ||||
\(276\) | 0.904061 | − | 0.758597i | 0.0544181 | − | 0.0456622i | ||||
\(277\) | 11.9260 | − | 4.34070i | 0.716562 | − | 0.260807i | 0.0420965 | − | 0.999114i | \(-0.486596\pi\) |
0.674466 | + | 0.738306i | \(0.264374\pi\) | |||||||
\(278\) | 8.45244 | − | 3.07644i | 0.506944 | − | 0.184512i | ||||
\(279\) | 2.75570 | − | 2.31230i | 0.164979 | − | 0.138434i | ||||
\(280\) | −1.12479 | − | 6.37901i | −0.0672191 | − | 0.381219i | ||||
\(281\) | 3.02774 | + | 17.1712i | 0.180620 | + | 1.02435i | 0.931455 | + | 0.363857i | \(0.118540\pi\) |
−0.750835 | + | 0.660490i | \(0.770349\pi\) | |||||||
\(282\) | −7.20386 | + | 12.4774i | −0.428983 | + | 0.743021i | ||||
\(283\) | −10.0612 | − | 8.44232i | −0.598074 | − | 0.501844i | 0.292752 | − | 0.956188i | \(-0.405429\pi\) |
−0.890826 | + | 0.454345i | \(0.849873\pi\) | |||||||
\(284\) | −4.75197 | − | 1.72957i | −0.281977 | − | 0.102631i | ||||
\(285\) | −12.8325 | − | 22.2266i | −0.760132 | − | 1.31659i | ||||
\(286\) | −4.87585 | + | 8.44522i | −0.288315 | + | 0.499376i | ||||
\(287\) | −28.0482 | + | 23.5352i | −1.65563 | + | 1.38924i | ||||
\(288\) | −0.181551 | − | 0.314455i | −0.0106980 | − | 0.0185294i | ||||
\(289\) | −1.28405 | + | 7.28223i | −0.0755325 | + | 0.428366i | ||||
\(290\) | −4.07636 | −0.239372 | ||||||||
\(291\) | −5.43268 | + | 30.8103i | −0.318469 | + | 1.80613i | ||||
\(292\) | 7.83641 | + | 6.57552i | 0.458591 | + | 0.384803i | ||||
\(293\) | −6.37791 | + | 2.32137i | −0.372602 | + | 0.135616i | −0.521532 | − | 0.853232i | \(-0.674639\pi\) |
0.148930 | + | 0.988848i | \(0.452417\pi\) | |||||||
\(294\) | 8.40749 | + | 3.06008i | 0.490335 | + | 0.178467i | ||||
\(295\) | −1.04013 | −0.0605586 | ||||||||
\(296\) | −3.49526 | + | 4.97827i | −0.203158 | + | 0.289356i | ||||
\(297\) | −13.5868 | −0.788386 | ||||||||
\(298\) | 9.37157 | + | 3.41097i | 0.542880 | + | 0.197592i | ||||
\(299\) | −2.09887 | + | 0.763927i | −0.121381 | + | 0.0441790i | ||||
\(300\) | 2.06217 | + | 1.73036i | 0.119059 | + | 0.0999026i | ||||
\(301\) | 4.97024 | − | 28.1876i | 0.286480 | − | 1.62471i | ||||
\(302\) | 9.66271 | 0.556026 | ||||||||
\(303\) | −3.81445 | + | 21.6328i | −0.219135 | + | 1.24277i | ||||
\(304\) | −3.72328 | − | 6.44891i | −0.213545 | − | 0.369870i | ||||
\(305\) | −10.0942 | + | 8.47006i | −0.577993 | + | 0.484994i | ||||
\(306\) | 0.562674 | − | 0.974579i | 0.0321659 | − | 0.0557130i | ||||
\(307\) | −4.10242 | − | 7.10560i | −0.234138 | − | 0.405538i | 0.724884 | − | 0.688871i | \(-0.241893\pi\) |
−0.959022 | + | 0.283333i | \(0.908560\pi\) | |||||||
\(308\) | 9.09967 | + | 3.31201i | 0.518502 | + | 0.188719i | ||||
\(309\) | −18.1850 | − | 15.2591i | −1.03451 | − | 0.868058i | ||||
\(310\) | 9.30969 | − | 16.1249i | 0.528755 | − | 0.915830i | ||||
\(311\) | −1.88461 | − | 10.6882i | −0.106867 | − | 0.606070i | −0.990458 | − | 0.137812i | \(-0.955993\pi\) |
0.883592 | − | 0.468258i | \(-0.155118\pi\) | |||||||
\(312\) | 1.10527 | + | 6.26827i | 0.0625733 | + | 0.354871i | ||||
\(313\) | −6.63058 | + | 5.56372i | −0.374783 | + | 0.314480i | −0.810650 | − | 0.585531i | \(-0.800886\pi\) |
0.435867 | + | 0.900011i | \(0.356442\pi\) | |||||||
\(314\) | 8.25949 | − | 3.00621i | 0.466110 | − | 0.169650i | ||||
\(315\) | 2.21012 | − | 0.804417i | 0.124526 | − | 0.0453238i | ||||
\(316\) | −1.45921 | + | 1.22442i | −0.0820867 | + | 0.0688789i | ||||
\(317\) | −4.41505 | − | 25.0390i | −0.247974 | − | 1.40633i | −0.813484 | − | 0.581587i | \(-0.802432\pi\) |
0.565510 | − | 0.824741i | \(-0.308679\pi\) | |||||||
\(318\) | −1.53934 | − | 8.73005i | −0.0863221 | − | 0.489557i | ||||
\(319\) | 3.04706 | − | 5.27766i | 0.170603 | − | 0.295492i | ||||
\(320\) | −1.43969 | − | 1.20805i | −0.0804813 | − | 0.0675318i | ||||
\(321\) | 26.9287 | + | 9.80126i | 1.50302 | + | 0.547053i | ||||
\(322\) | 1.10899 | + | 1.92084i | 0.0618019 | + | 0.107044i | ||||
\(323\) | 11.5394 | − | 19.9869i | 0.642071 | − | 1.11210i | ||||
\(324\) | −7.62786 | + | 6.40053i | −0.423770 | + | 0.355585i | ||||
\(325\) | −2.54739 | − | 4.41222i | −0.141304 | − | 0.244746i | ||||
\(326\) | −0.331175 | + | 1.87819i | −0.0183421 | + | 0.104023i | ||||
\(327\) | −2.84271 | −0.157202 | ||||||||
\(328\) | −1.84474 | + | 10.4620i | −0.101859 | + | 0.577670i | ||||
\(329\) | −20.7427 | − | 17.4052i | −1.14358 | − | 0.959578i | ||||
\(330\) | 9.09967 | − | 3.31201i | 0.500920 | − | 0.182320i | ||||
\(331\) | 19.5470 | + | 7.11454i | 1.07440 | + | 0.391050i | 0.817821 | − | 0.575473i | \(-0.195182\pi\) |
0.256581 | + | 0.966523i | \(0.417404\pi\) | |||||||
\(332\) | 6.80966 | 0.373729 | ||||||||
\(333\) | −2.00054 | − | 0.935963i | −0.109629 | − | 0.0512904i | ||||
\(334\) | 6.62762 | 0.362647 | ||||||||
\(335\) | 0.372673 | + | 0.135642i | 0.0203613 | + | 0.00741091i | ||||
\(336\) | 5.93939 | − | 2.16176i | 0.324020 | − | 0.117934i | ||||
\(337\) | −1.89385 | − | 1.58913i | −0.103165 | − | 0.0865653i | 0.589746 | − | 0.807588i | \(-0.299228\pi\) |
−0.692911 | + | 0.721023i | \(0.743672\pi\) | |||||||
\(338\) | −0.165612 | + | 0.939235i | −0.00900813 | + | 0.0510876i | ||||
\(339\) | 9.37981 | 0.509442 | ||||||||
\(340\) | 1.01145 | − | 5.73622i | 0.0548536 | − | 0.311090i | ||||
\(341\) | 13.9179 | + | 24.1065i | 0.753696 | + | 1.30544i | ||||
\(342\) | 2.07127 | − | 1.73801i | 0.112002 | − | 0.0939806i | ||||
\(343\) | 3.65547 | − | 6.33145i | 0.197377 | − | 0.341866i | ||||
\(344\) | −4.15233 | − | 7.19204i | −0.223878 | − | 0.387769i | ||||
\(345\) | 2.08423 | + | 0.758597i | 0.112211 | + | 0.0408415i | ||||
\(346\) | 19.4646 | + | 16.3328i | 1.04643 | + | 0.878055i | ||||
\(347\) | 2.92690 | − | 5.06953i | 0.157124 | − | 0.272147i | −0.776706 | − | 0.629863i | \(-0.783111\pi\) |
0.933830 | + | 0.357716i | \(0.116444\pi\) | |||||||
\(348\) | −0.690712 | − | 3.91722i | −0.0370261 | − | 0.209985i | ||||
\(349\) | 0.545283 | + | 3.09246i | 0.0291883 | + | 0.165535i | 0.995918 | − | 0.0902661i | \(-0.0287718\pi\) |
−0.966729 | + | 0.255801i | \(0.917661\pi\) | |||||||
\(350\) | −3.87561 | + | 3.25202i | −0.207160 | + | 0.173828i | ||||
\(351\) | 15.7716 | − | 5.74039i | 0.841825 | − | 0.306399i | ||||
\(352\) | 2.64022 | − | 0.960961i | 0.140724 | − | 0.0512194i | ||||
\(353\) | −8.61667 | + | 7.23024i | −0.458619 | + | 0.384827i | −0.842623 | − | 0.538505i | \(-0.818989\pi\) |
0.384004 | + | 0.923332i | \(0.374545\pi\) | |||||||
\(354\) | −0.176243 | − | 0.999522i | −0.00936719 | − | 0.0531240i | ||||
\(355\) | −1.65034 | − | 9.35955i | −0.0875910 | − | 0.496753i | ||||
\(356\) | 4.84387 | − | 8.38982i | 0.256724 | − | 0.444660i | ||||
\(357\) | 15.0061 | + | 12.5916i | 0.794208 | + | 0.666419i | ||||
\(358\) | −7.63493 | − | 2.77889i | −0.403518 | − | 0.146869i | ||||
\(359\) | 11.5467 | + | 19.9994i | 0.609410 | + | 1.05553i | 0.991338 | + | 0.131337i | \(0.0419271\pi\) |
−0.381927 | + | 0.924192i | \(0.624740\pi\) | |||||||
\(360\) | 0.341204 | − | 0.590982i | 0.0179830 | − | 0.0311475i | ||||
\(361\) | 27.9233 | − | 23.4304i | 1.46965 | − | 1.23318i | ||||
\(362\) | −5.95343 | − | 10.3116i | −0.312905 | − | 0.541968i | ||||
\(363\) | 0.989041 | − | 5.60913i | 0.0519112 | − | 0.294403i | ||||
\(364\) | −11.9622 | −0.626991 | ||||||||
\(365\) | −3.33848 | + | 18.9335i | −0.174744 | + | 0.991023i | ||||
\(366\) | −9.84979 | − | 8.26495i | −0.514857 | − | 0.432016i | ||||
\(367\) | −1.47673 | + | 0.537487i | −0.0770848 | + | 0.0280566i | −0.380275 | − | 0.924874i | \(-0.624171\pi\) |
0.303190 | + | 0.952930i | \(0.401948\pi\) | |||||||
\(368\) | 0.604727 | + | 0.220103i | 0.0315236 | + | 0.0114736i | ||||
\(369\) | −3.85739 | −0.200808 | ||||||||
\(370\) | −11.3871 | − | 1.01082i | −0.591986 | − | 0.0525500i | ||||
\(371\) | 16.6602 | 0.864957 | ||||||||
\(372\) | 17.0728 | + | 6.21400i | 0.885184 | + | 0.322181i | ||||
\(373\) | −6.28835 | + | 2.28877i | −0.325599 | + | 0.118508i | −0.499647 | − | 0.866229i | \(-0.666537\pi\) |
0.174049 | + | 0.984737i | \(0.444315\pi\) | |||||||
\(374\) | 6.67062 | + | 5.59732i | 0.344930 | + | 0.289430i | ||||
\(375\) | −3.87097 | + | 21.9534i | −0.199896 | + | 1.13367i | ||||
\(376\) | −7.85643 | −0.405164 | ||||||||
\(377\) | −1.30723 | + | 7.41370i | −0.0673260 | + | 0.381825i | ||||
\(378\) | −8.33334 | − | 14.4338i | −0.428621 | − | 0.742393i | ||||
\(379\) | −8.40501 | + | 7.05264i | −0.431737 | + | 0.362270i | −0.832606 | − | 0.553865i | \(-0.813152\pi\) |
0.400870 | + | 0.916135i | \(0.368708\pi\) | |||||||
\(380\) | 6.99748 | − | 12.1200i | 0.358963 | − | 0.621742i | ||||
\(381\) | −6.50586 | − | 11.2685i | −0.333305 | − | 0.577301i | ||||
\(382\) | −0.250636 | − | 0.0912241i | −0.0128237 | − | 0.00466743i | ||||
\(383\) | −19.3480 | − | 16.2349i | −0.988638 | − | 0.829566i | −0.00326840 | − | 0.999995i | \(-0.501040\pi\) |
−0.985370 | + | 0.170429i | \(0.945485\pi\) | |||||||
\(384\) | 0.916938 | − | 1.58818i | 0.0467923 | − | 0.0810466i | ||||
\(385\) | 3.16028 | + | 17.9228i | 0.161063 | + | 0.913433i | ||||
\(386\) | 1.37674 | + | 7.80790i | 0.0700744 | + | 0.397412i | ||||
\(387\) | 2.30995 | − | 1.93828i | 0.117422 | − | 0.0985284i | ||||
\(388\) | −16.0310 | + | 5.83480i | −0.813849 | + | 0.296217i | ||||
\(389\) | 10.1599 | − | 3.69792i | 0.515130 | − | 0.187492i | −0.0713568 | − | 0.997451i | \(-0.522733\pi\) |
0.586487 | + | 0.809959i | \(0.300511\pi\) | |||||||
\(390\) | −9.16360 | + | 7.68917i | −0.464017 | + | 0.389356i | ||||
\(391\) | 0.346340 | + | 1.96419i | 0.0175152 | + | 0.0993334i | ||||
\(392\) | 0.847190 | + | 4.80465i | 0.0427896 | + | 0.242672i | ||||
\(393\) | 16.0133 | − | 27.7358i | 0.807763 | − | 1.39909i | ||||
\(394\) | −0.315326 | − | 0.264590i | −0.0158859 | − | 0.0133299i | ||||
\(395\) | −3.36406 | − | 1.22442i | −0.169264 | − | 0.0616072i | ||||
\(396\) | 0.510096 | + | 0.883512i | 0.0256333 | + | 0.0443982i | ||||
\(397\) | 5.40570 | − | 9.36295i | 0.271304 | − | 0.469913i | −0.697892 | − | 0.716203i | \(-0.745878\pi\) |
0.969196 | + | 0.246290i | \(0.0792117\pi\) | |||||||
\(398\) | −1.55892 | + | 1.30809i | −0.0781417 | + | 0.0655687i | ||||
\(399\) | 23.5332 | + | 40.7607i | 1.17813 | + | 2.04059i | ||||
\(400\) | −0.254900 | + | 1.44561i | −0.0127450 | + | 0.0722805i | ||||
\(401\) | −34.6974 | −1.73271 | −0.866353 | − | 0.499432i | \(-0.833542\pi\) | ||||
−0.866353 | + | 0.499432i | \(0.833542\pi\) | |||||||
\(402\) | −0.0671996 | + | 0.381108i | −0.00335161 | + | 0.0190079i | ||||
\(403\) | −26.3408 | − | 22.1026i | −1.31213 | − | 1.10101i | ||||
\(404\) | −11.2558 | + | 4.09679i | −0.559999 | + | 0.203823i | ||||
\(405\) | −17.5853 | − | 6.40053i | −0.873822 | − | 0.318045i | ||||
\(406\) | 7.47554 | 0.371005 | ||||||||
\(407\) | 9.82049 | − | 13.9873i | 0.486783 | − | 0.693322i | ||||
\(408\) | 5.68366 | 0.281383 | ||||||||
\(409\) | −1.77330 | − | 0.645428i | −0.0876840 | − | 0.0319144i | 0.297806 | − | 0.954627i | \(-0.403745\pi\) |
−0.385490 | + | 0.922712i | \(0.625967\pi\) | |||||||
\(410\) | −18.7615 | + | 6.82862i | −0.926563 | + | 0.337241i | ||||
\(411\) | −13.8475 | − | 11.6194i | −0.683046 | − | 0.573143i | ||||
\(412\) | 2.24782 | − | 12.7480i | 0.110742 | − | 0.628049i | ||||
\(413\) | 1.90747 | 0.0938602 | ||||||||
\(414\) | −0.0405763 | + | 0.230119i | −0.00199421 | + | 0.0113098i | ||||
\(415\) | 6.39899 | + | 11.0834i | 0.314114 | + | 0.544061i | ||||
\(416\) | −2.65877 | + | 2.23097i | −0.130357 | + | 0.109382i | ||||
\(417\) | −8.24777 | + | 14.2856i | −0.403895 | + | 0.699566i | ||||
\(418\) | 10.4612 | + | 18.1193i | 0.511672 | + | 0.886242i | ||||
\(419\) | 16.3766 | + | 5.96059i | 0.800048 | + | 0.291194i | 0.709507 | − | 0.704699i | \(-0.248918\pi\) |
0.0905419 | + | 0.995893i | \(0.471140\pi\) | |||||||
\(420\) | 9.09967 | + | 7.63553i | 0.444018 | + | 0.372576i | ||||
\(421\) | 9.07719 | − | 15.7222i | 0.442395 | − | 0.766251i | −0.555471 | − | 0.831536i | \(-0.687462\pi\) |
0.997867 | + | 0.0652845i | \(0.0207955\pi\) | |||||||
\(422\) | −2.73340 | − | 15.5019i | −0.133060 | − | 0.754621i | ||||
\(423\) | −0.495363 | − | 2.80934i | −0.0240854 | − | 0.136595i | ||||
\(424\) | 3.70296 | − | 3.10716i | 0.179832 | − | 0.150897i | ||||
\(425\) | −4.27508 | + | 1.55600i | −0.207372 | + | 0.0754771i | ||||
\(426\) | 8.71452 | − | 3.17183i | 0.422220 | − | 0.153675i | ||||
\(427\) | 18.5115 | − | 15.5330i | 0.895837 | − | 0.751696i | ||||
\(428\) | 2.71350 | + | 15.3891i | 0.131162 | + | 0.743858i | ||||
\(429\) | −3.10542 | − | 17.6117i | −0.149931 | − | 0.850302i | ||||
\(430\) | 7.80382 | − | 13.5166i | 0.376334 | − | 0.651829i | ||||
\(431\) | 21.7480 | + | 18.2487i | 1.04756 | + | 0.879011i | 0.992835 | − | 0.119491i | \(-0.0381262\pi\) |
0.0547286 | + | 0.998501i | \(0.482571\pi\) | |||||||
\(432\) | −4.54411 | − | 1.65392i | −0.218629 | − | 0.0795744i | ||||
\(433\) | 3.73468 | + | 6.46865i | 0.179477 | + | 0.310864i | 0.941702 | − | 0.336449i | \(-0.109226\pi\) |
−0.762224 | + | 0.647313i | \(0.775893\pi\) | |||||||
\(434\) | −17.0728 | + | 29.5710i | −0.819521 | + | 1.41945i | ||||
\(435\) | 5.72660 | − | 4.80519i | 0.274569 | − | 0.230391i | ||||
\(436\) | −0.775056 | − | 1.34244i | −0.0371185 | − | 0.0642910i | ||||
\(437\) | −0.832146 | + | 4.71934i | −0.0398069 | + | 0.225756i | ||||
\(438\) | −18.7600 | −0.896388 | ||||||||
\(439\) | −5.99873 | + | 34.0205i | −0.286304 | + | 1.62371i | 0.414287 | + | 0.910146i | \(0.364031\pi\) |
−0.700590 | + | 0.713564i | \(0.747080\pi\) | |||||||
\(440\) | 4.04505 | + | 3.39420i | 0.192840 | + | 0.161812i | ||||
\(441\) | −1.66466 | + | 0.605885i | −0.0792693 | + | 0.0288517i | ||||
\(442\) | −10.1081 | − | 3.67906i | −0.480795 | − | 0.174995i | ||||
\(443\) | −2.89849 | −0.137712 | −0.0688558 | − | 0.997627i | \(-0.521935\pi\) | ||||
−0.0688558 | + | 0.997627i | \(0.521935\pi\) | |||||||
\(444\) | −0.958106 | − | 11.1138i | −0.0454697 | − | 0.527438i | ||||
\(445\) | 18.2070 | 0.863094 | ||||||||
\(446\) | 3.22814 | + | 1.17495i | 0.152857 | + | 0.0556353i | ||||
\(447\) | −17.1863 | + | 6.25530i | −0.812884 | + | 0.295866i | ||||
\(448\) | 2.64022 | + | 2.21541i | 0.124739 | + | 0.104668i | ||||
\(449\) | 4.84053 | − | 27.4520i | 0.228439 | − | 1.29554i | −0.627563 | − | 0.778566i | \(-0.715948\pi\) |
0.856002 | − | 0.516973i | \(-0.172941\pi\) | |||||||
\(450\) | −0.533001 | −0.0251259 | ||||||||
\(451\) | 5.18310 | − | 29.3948i | 0.244063 | − | 1.38415i | ||||
\(452\) | 2.55737 | + | 4.42950i | 0.120289 | + | 0.208346i | ||||
\(453\) | −13.5745 | + | 11.3903i | −0.637784 | + | 0.535164i | ||||
\(454\) | 1.15640 | − | 2.00295i | 0.0542726 | − | 0.0940029i | ||||
\(455\) | −11.2408 | − | 19.4697i | −0.526978 | − | 0.912752i | ||||
\(456\) | 12.8325 | + | 4.67065i | 0.600937 | + | 0.218723i | ||||
\(457\) | 7.48390 | + | 6.27974i | 0.350082 | + | 0.293754i | 0.800823 | − | 0.598901i | \(-0.204396\pi\) |
−0.450741 | + | 0.892655i | \(0.648840\pi\) | |||||||
\(458\) | 2.95547 | − | 5.11902i | 0.138100 | − | 0.239196i | ||||
\(459\) | −2.60251 | − | 14.7596i | −0.121475 | − | 0.688917i | ||||
\(460\) | 0.210020 | + | 1.19108i | 0.00979221 | + | 0.0555344i | ||||
\(461\) | 11.8337 | − | 9.92965i | 0.551150 | − | 0.462470i | −0.324180 | − | 0.945995i | \(-0.605088\pi\) |
0.875330 | + | 0.483525i | \(0.160644\pi\) | |||||||
\(462\) | −16.6877 | + | 6.07381i | −0.776380 | + | 0.282579i | ||||
\(463\) | −17.2009 | + | 6.26063i | −0.799395 | + | 0.290956i | −0.709236 | − | 0.704971i | \(-0.750960\pi\) |
−0.0901595 | + | 0.995927i | \(0.528738\pi\) | |||||||
\(464\) | 1.66154 | − | 1.39420i | 0.0771351 | − | 0.0647240i | ||||
\(465\) | 5.92933 | + | 33.6269i | 0.274966 | + | 1.55941i | ||||
\(466\) | −4.92045 | − | 27.9053i | −0.227935 | − | 1.29269i | ||||
\(467\) | −11.8035 | + | 20.4443i | −0.546201 | + | 0.946048i | 0.452329 | + | 0.891851i | \(0.350593\pi\) |
−0.998530 | + | 0.0541966i | \(0.982740\pi\) | |||||||
\(468\) | −0.965403 | − | 0.810069i | −0.0446257 | − | 0.0374454i | ||||
\(469\) | −0.683436 | − | 0.248750i | −0.0315581 | − | 0.0114862i | ||||
\(470\) | −7.38263 | − | 12.7871i | −0.340535 | − | 0.589824i | ||||
\(471\) | −8.05949 | + | 13.9594i | −0.371362 | + | 0.643217i | ||||
\(472\) | 0.423960 | − | 0.355745i | 0.0195143 | − | 0.0163745i | ||||
\(473\) | 11.6666 | + | 20.2072i | 0.536432 | + | 0.929128i | ||||
\(474\) | 0.606600 | − | 3.44020i | 0.0278621 | − | 0.158014i | ||||
\(475\) | −10.9309 | −0.501544 | ||||||||
\(476\) | −1.85487 | + | 10.5195i | −0.0850180 | + | 0.482161i | ||||
\(477\) | 1.34455 | + | 1.12821i | 0.0615628 | + | 0.0516573i | ||||
\(478\) | −22.7763 | + | 8.28990i | −1.04176 | + | 0.379171i | ||||
\(479\) | 8.16238 | + | 2.97086i | 0.372949 | + | 0.135742i | 0.521693 | − | 0.853134i | \(-0.325301\pi\) |
−0.148744 | + | 0.988876i | \(0.547523\pi\) | |||||||
\(480\) | 3.44656 | 0.157313 | ||||||||
\(481\) | −5.49006 | + | 20.3856i | −0.250325 | + | 0.929502i | ||||
\(482\) | 8.85069 | 0.403138 | ||||||||
\(483\) | −3.82222 | − | 1.39117i | −0.173917 | − | 0.0633006i | ||||
\(484\) | 2.91850 | − | 1.06225i | 0.132659 | − | 0.0482840i | ||||
\(485\) | −24.5609 | − | 20.6090i | −1.11525 | − | 0.935807i | ||||
\(486\) | 0.651791 | − | 3.69649i | 0.0295658 | − | 0.167676i | ||||
\(487\) | 20.9350 | 0.948654 | 0.474327 | − | 0.880349i | \(-0.342691\pi\) | ||||
0.474327 | + | 0.880349i | \(0.342691\pi\) | |||||||
\(488\) | 1.21751 | − | 6.90485i | 0.0551142 | − | 0.312568i | ||||
\(489\) | −1.74875 | − | 3.02892i | −0.0790812 | − | 0.136973i | ||||
\(490\) | −7.02393 | + | 5.89378i | −0.317309 | + | 0.266254i | ||||
\(491\) | −21.6055 | + | 37.4219i | −0.975044 | + | 1.68883i | −0.295253 | + | 0.955419i | \(0.595404\pi\) |
−0.679791 | + | 0.733406i | \(0.737930\pi\) | |||||||
\(492\) | −9.74104 | − | 16.8720i | −0.439160 | − | 0.760647i | ||||
\(493\) | 6.31686 | + | 2.29915i | 0.284497 | + | 0.103548i | ||||
\(494\) | −19.7987 | − | 16.6131i | −0.890784 | − | 0.747457i | ||||
\(495\) | −0.958667 | + | 1.66046i | −0.0430889 | + | 0.0746321i | ||||
\(496\) | 1.72036 | + | 9.75665i | 0.0772465 | + | 0.438087i | ||||
\(497\) | 3.02652 | + | 17.1643i | 0.135758 | + | 0.769922i | ||||
\(498\) | −9.56642 | + | 8.02718i | −0.428682 | + | 0.359707i | ||||
\(499\) | 6.35892 | − | 2.31446i | 0.284664 | − | 0.103609i | −0.195742 | − | 0.980655i | \(-0.562711\pi\) |
0.480406 | + | 0.877046i | \(0.340489\pi\) | |||||||
\(500\) | −11.4226 | + | 4.15749i | −0.510835 | + | 0.185929i | ||||
\(501\) | −9.31069 | + | 7.81260i | −0.415971 | + | 0.349041i | ||||
\(502\) | 1.14443 | + | 6.49037i | 0.0510783 | + | 0.289679i | ||||
\(503\) | −4.76565 | − | 27.0274i | −0.212490 | − | 1.20509i | −0.885209 | − | 0.465193i | \(-0.845985\pi\) |
0.672719 | − | 0.739898i | \(-0.265126\pi\) | |||||||
\(504\) | −0.625726 | + | 1.08379i | −0.0278720 | + | 0.0482758i | ||||
\(505\) | −17.2449 | − | 14.4702i | −0.767390 | − | 0.643917i | ||||
\(506\) | −1.69908 | − | 0.618414i | −0.0755333 | − | 0.0274919i | ||||
\(507\) | −0.874506 | − | 1.51469i | −0.0388382 | − | 0.0672697i | ||||
\(508\) | 3.54760 | − | 6.14462i | 0.157399 | − | 0.272623i | ||||
\(509\) | 16.0780 | − | 13.4910i | 0.712643 | − | 0.597978i | −0.212696 | − | 0.977118i | \(-0.568225\pi\) |
0.925339 | + | 0.379140i | \(0.123780\pi\) | |||||||
\(510\) | 5.34090 | + | 9.25071i | 0.236499 | + | 0.409628i | ||||
\(511\) | 6.12236 | − | 34.7216i | 0.270837 | − | 1.53599i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 6.25301 | − | 35.4626i | 0.276077 | − | 1.56571i | ||||
\(514\) | 7.37373 | + | 6.18729i | 0.325241 | + | 0.272910i | ||||
\(515\) | 22.8608 | − | 8.32066i | 1.00737 | − | 0.366652i | ||||
\(516\) | 14.3112 | + | 5.20886i | 0.630017 | + | 0.229307i | ||||
\(517\) | 22.0739 | 0.970809 | ||||||||
\(518\) | 20.8825 | + | 1.85372i | 0.917524 | + | 0.0814477i | ||||
\(519\) | −46.5975 | −2.04540 | ||||||||
\(520\) | −6.12954 | − | 2.23097i | −0.268798 | − | 0.0978345i | ||||
\(521\) | 35.3011 | − | 12.8486i | 1.54657 | − | 0.562906i | 0.578961 | − | 0.815355i | \(-0.303458\pi\) |
0.967610 | + | 0.252449i | \(0.0812361\pi\) | |||||||
\(522\) | 0.603308 | + | 0.506235i | 0.0264061 | + | 0.0221573i | ||||
\(523\) | 3.28508 | − | 18.6306i | 0.143647 | − | 0.814660i | −0.824797 | − | 0.565428i | \(-0.808711\pi\) |
0.968444 | − | 0.249232i | \(-0.0801781\pi\) | |||||||
\(524\) | 17.4639 | 0.762912 | ||||||||
\(525\) | 1.61111 | − | 9.13707i | 0.0703147 | − | 0.398774i | ||||
\(526\) | 0.795631 | + | 1.37807i | 0.0346912 | + | 0.0600869i | ||||
\(527\) | −23.5213 | + | 19.7367i | −1.02460 | + | 0.859746i | ||||
\(528\) | −2.57629 | + | 4.46226i | −0.112118 | + | 0.194195i | ||||
\(529\) | 11.2929 | + | 19.5599i | 0.490997 | + | 0.850432i | ||||
\(530\) | 8.53684 | + | 3.10716i | 0.370817 | + | 0.134966i | ||||
\(531\) | 0.153940 | + | 0.129171i | 0.00668045 | + | 0.00560556i | ||||
\(532\) | −12.8325 | + | 22.2266i | −0.556360 | + | 0.963643i | ||||
\(533\) | 6.40268 | + | 36.3114i | 0.277331 | + | 1.57282i | ||||
\(534\) | 3.08505 | + | 17.4962i | 0.133503 | + | 0.757134i | ||||
\(535\) | −22.4973 | + | 18.8775i | −0.972643 | + | 0.816144i | ||||
\(536\) | −0.198295 | + | 0.0721735i | −0.00856505 | + | 0.00311742i | ||||
\(537\) | 14.0015 | − | 5.09613i | 0.604210 | − | 0.219914i | ||||
\(538\) | 17.7108 | − | 14.8611i | 0.763566 | − | 0.640708i | ||||
\(539\) | −2.38032 | − | 13.4994i | −0.102528 | − | 0.581462i | ||||
\(540\) | −1.57815 | − | 8.95016i | −0.0679129 | − | 0.385153i | ||||
\(541\) | −8.23739 | + | 14.2676i | −0.354153 | + | 0.613411i | −0.986973 | − | 0.160888i | \(-0.948564\pi\) |
0.632820 | + | 0.774299i | \(0.281897\pi\) | |||||||
\(542\) | 0.140511 | + | 0.117903i | 0.00603547 | + | 0.00506436i | ||||
\(543\) | 20.5188 | + | 7.46825i | 0.880548 | + | 0.320493i | ||||
\(544\) | 1.54963 | + | 2.68404i | 0.0664399 | + | 0.115077i | ||||
\(545\) | 1.45663 | − | 2.52296i | 0.0623951 | − | 0.108072i | ||||
\(546\) | 16.8049 | − | 14.1010i | 0.719184 | − | 0.603467i | ||||
\(547\) | 6.00067 | + | 10.3935i | 0.256570 | + | 0.444392i | 0.965321 | − | 0.261067i | \(-0.0840742\pi\) |
−0.708751 | + | 0.705459i | \(0.750741\pi\) | |||||||
\(548\) | 1.71166 | − | 9.70729i | 0.0731184 | − | 0.414675i | ||||
\(549\) | 2.54584 | 0.108654 | ||||||||
\(550\) | 0.716183 | − | 4.06167i | 0.0305381 | − | 0.173190i | ||||
\(551\) | 12.3728 | + | 10.3820i | 0.527097 | + | 0.442287i | ||||
\(552\) | −1.10899 | + | 0.403641i | −0.0472020 | + | 0.0171801i | ||||
\(553\) | 6.16927 | + | 2.24543i | 0.262344 | + | 0.0954855i | ||||
\(554\) | −12.6914 | −0.539204 | ||||||||
\(555\) | 17.1885 | − | 12.0030i | 0.729610 | − | 0.509498i | ||||
\(556\) | −8.99490 | −0.381469 | ||||||||
\(557\) | 40.2026 | + | 14.6325i | 1.70344 | + | 0.620001i | 0.996210 | − | 0.0869842i | \(-0.0277230\pi\) |
0.707229 | + | 0.706985i | \(0.249945\pi\) | |||||||
\(558\) | −3.38036 | + | 1.23035i | −0.143102 | + | 0.0520849i | ||||
\(559\) | −22.0801 | − | 18.5274i | −0.933890 | − | 0.783627i | ||||
\(560\) | −1.12479 | + | 6.37901i | −0.0475311 | + | 0.269562i | ||||
\(561\) | −15.9692 | −0.674219 | ||||||||
\(562\) | 3.02774 | − | 17.1712i | 0.127718 | − | 0.724323i | ||||
\(563\) | −11.8738 | − | 20.5660i | −0.500421 | − | 0.866754i | −1.00000 | 0.000486132i | \(-0.999845\pi\) | |
0.499579 | − | 0.866268i | \(-0.333488\pi\) | |||||||
\(564\) | 11.0369 | − | 9.26110i | 0.464739 | − | 0.389963i | ||||
\(565\) | −4.80629 | + | 8.32474i | −0.202202 | + | 0.350224i | ||||
\(566\) | 6.56696 | + | 11.3743i | 0.276030 | + | 0.478098i | ||||
\(567\) | 32.2493 | + | 11.7378i | 1.35434 | + | 0.492941i | ||||
\(568\) | 3.87384 | + | 3.25054i | 0.162543 | + | 0.136389i | ||||
\(569\) | 2.64332 | − | 4.57837i | 0.110814 | − | 0.191935i | −0.805285 | − | 0.592888i | \(-0.797988\pi\) |
0.916099 | + | 0.400953i | \(0.131321\pi\) | |||||||
\(570\) | 4.45668 | + | 25.2751i | 0.186670 | + | 1.05866i | ||||
\(571\) | −4.21057 | − | 23.8793i | −0.176207 | − | 0.999318i | −0.936742 | − | 0.350021i | \(-0.886174\pi\) |
0.760535 | − | 0.649297i | \(-0.224937\pi\) | |||||||
\(572\) | 7.47024 | − | 6.26827i | 0.312346 | − | 0.262090i | ||||
\(573\) | 0.459636 | − | 0.167294i | 0.0192016 | − | 0.00698880i | ||||
\(574\) | 34.4062 | − | 12.5228i | 1.43609 | − | 0.522693i | ||||
\(575\) | 0.723648 | − | 0.607213i | 0.0301782 | − | 0.0253225i | ||||
\(576\) | 0.0630519 | + | 0.357585i | 0.00262716 | + | 0.0148994i | ||||
\(577\) | −0.296836 | − | 1.68344i | −0.0123574 | − | 0.0700825i | 0.978005 | − | 0.208579i | \(-0.0668840\pi\) |
−0.990363 | + | 0.138497i | \(0.955773\pi\) | |||||||
\(578\) | 3.69728 | − | 6.40388i | 0.153787 | − | 0.266366i | ||||
\(579\) | −11.1380 | − | 9.34588i | −0.462879 | − | 0.388402i | ||||
\(580\) | 3.83053 | + | 1.39420i | 0.159054 | + | 0.0578909i | ||||
\(581\) | −11.7350 | − | 20.3255i | −0.486848 | − | 0.843245i | ||||
\(582\) | 15.6428 | − | 27.0941i | 0.648414 | − | 1.12309i | ||||
\(583\) | −10.4041 | + | 8.73005i | −0.430893 | + | 0.361562i | ||||
\(584\) | −5.11485 | − | 8.85918i | −0.211654 | − | 0.366595i | ||||
\(585\) | 0.411283 | − | 2.33250i | 0.0170044 | − | 0.0964370i | ||||
\(586\) | 6.78723 | 0.280378 | ||||||||
\(587\) | 4.51530 | − | 25.6076i | 0.186366 | − | 1.05694i | −0.737821 | − | 0.674997i | \(-0.764145\pi\) |
0.924187 | − | 0.381940i | \(-0.124744\pi\) | |||||||
\(588\) | −6.85385 | − | 5.75106i | −0.282648 | − | 0.237170i | ||||
\(589\) | −69.3251 | + | 25.2323i | −2.85649 | + | 1.03968i | ||||
\(590\) | 0.977400 | + | 0.355745i | 0.0402389 | + | 0.0146458i | ||||
\(591\) | 0.754877 | 0.0310515 | ||||||||
\(592\) | 4.98714 | − | 3.48260i | 0.204970 | − | 0.143134i | ||||
\(593\) | 19.5933 | 0.804601 | 0.402300 | − | 0.915508i | \(-0.368211\pi\) | ||||
0.402300 | + | 0.915508i | \(0.368211\pi\) | |||||||
\(594\) | 12.7674 | + | 4.64696i | 0.523854 | + | 0.190667i | ||||
\(595\) | −18.8645 | + | 6.86613i | −0.773370 | + | 0.281484i | ||||
\(596\) | −7.63977 | − | 6.41053i | −0.312937 | − | 0.262586i | ||||
\(597\) | 0.648053 | − | 3.67529i | 0.0265231 | − | 0.150420i | ||||
\(598\) | 2.23357 | 0.0913376 | ||||||||
\(599\) | 6.43804 | − | 36.5119i | 0.263051 | − | 1.49184i | −0.511477 | − | 0.859297i | \(-0.670901\pi\) |
0.774528 | − | 0.632540i | \(-0.217988\pi\) | |||||||
\(600\) | −1.34598 | − | 2.33131i | −0.0549495 | − | 0.0951754i | ||||
\(601\) | −14.1667 | + | 11.8873i | −0.577871 | + | 0.484892i | −0.884247 | − | 0.467019i | \(-0.845328\pi\) |
0.306376 | + | 0.951911i | \(0.400884\pi\) | |||||||
\(602\) | −14.3112 | + | 24.7878i | −0.583282 | + | 1.01027i | ||||
\(603\) | −0.0383111 | − | 0.0663567i | −0.00156015 | − | 0.00270226i | ||||
\(604\) | −9.07997 | − | 3.30484i | −0.369459 | − | 0.134472i | ||||
\(605\) | 4.47140 | + | 3.75195i | 0.181788 | + | 0.152539i | ||||
\(606\) | 10.9833 | − | 19.0236i | 0.446165 | − | 0.772781i | ||||
\(607\) | 0.923385 | + | 5.23678i | 0.0374791 | + | 0.212554i | 0.997796 | − | 0.0663569i | \(-0.0211376\pi\) |
−0.960317 | + | 0.278911i | \(0.910026\pi\) | |||||||
\(608\) | 1.29308 | + | 7.33343i | 0.0524414 | + | 0.297410i | ||||
\(609\) | −10.5019 | + | 8.81212i | −0.425557 | + | 0.357085i | ||||
\(610\) | 12.3824 | − | 4.50682i | 0.501348 | − | 0.182476i | ||||
\(611\) | −25.6234 | + | 9.32617i | −1.03661 | + | 0.377296i | ||||
\(612\) | −0.862066 | + | 0.723359i | −0.0348470 | + | 0.0292401i | ||||
\(613\) | 7.01848 | + | 39.8038i | 0.283474 | + | 1.60766i | 0.710687 | + | 0.703508i | \(0.248384\pi\) |
−0.427213 | + | 0.904151i | \(0.640505\pi\) | |||||||
\(614\) | 1.42476 | + | 8.08020i | 0.0574985 | + | 0.326090i | ||||
\(615\) | 18.3072 | − | 31.7089i | 0.738216 | − | 1.27863i | ||||
\(616\) | −7.41812 | − | 6.22454i | −0.298884 | − | 0.250794i | ||||
\(617\) | 30.8191 | + | 11.2172i | 1.24073 | + | 0.451589i | 0.877259 | − | 0.480017i | \(-0.159370\pi\) |
0.363470 | + | 0.931606i | \(0.381592\pi\) | |||||||
\(618\) | 11.8694 | + | 20.5585i | 0.477459 | + | 0.826984i | ||||
\(619\) | 2.07537 | − | 3.59465i | 0.0834163 | − | 0.144481i | −0.821299 | − | 0.570498i | \(-0.806750\pi\) |
0.904715 | + | 0.426017i | \(0.140084\pi\) | |||||||
\(620\) | −14.2633 | + | 11.9683i | −0.572827 | + | 0.480659i | ||||
\(621\) | 1.55599 | + | 2.69506i | 0.0624398 | + | 0.108149i | ||||
\(622\) | −1.88461 | + | 10.6882i | −0.0755660 | + | 0.428556i | ||||
\(623\) | −33.3893 | −1.33772 | ||||||||
\(624\) | 1.10527 | − | 6.26827i | 0.0442460 | − | 0.250932i | ||||
\(625\) | −11.8780 | − | 9.96686i | −0.475122 | − | 0.398674i | ||||
\(626\) | 8.13361 | − | 2.96039i | 0.325085 | − | 0.118321i | ||||
\(627\) | −36.0550 | − | 13.1229i | −1.43990 | − | 0.524080i | ||||
\(628\) | −8.78957 | −0.350742 | ||||||||
\(629\) | 17.0757 | + | 7.98893i | 0.680851 | + | 0.318540i | ||||
\(630\) | −2.35196 | −0.0937043 | ||||||||
\(631\) | −28.1162 | − | 10.2335i | −1.11929 | − | 0.407387i | −0.284896 | − | 0.958559i | \(-0.591959\pi\) |
−0.834392 | + | 0.551171i | \(0.814181\pi\) | |||||||
\(632\) | 1.78998 | − | 0.651500i | 0.0712016 | − | 0.0259153i | ||||
\(633\) | 22.1135 | + | 18.5554i | 0.878932 | + | 0.737512i | ||||
\(634\) | −4.41505 | + | 25.0390i | −0.175344 | + | 0.994425i | ||||
\(635\) | 13.3346 | 0.529168 | ||||||||
\(636\) | −1.53934 | + | 8.73005i | −0.0610390 | + | 0.346169i | ||||
\(637\) | 8.46656 | + | 14.6645i | 0.335457 | + | 0.581029i | ||||
\(638\) | −4.66837 | + | 3.91722i | −0.184822 | + | 0.155084i | ||||
\(639\) | −0.918091 | + | 1.59018i | −0.0363191 | + | 0.0629065i | ||||
\(640\) | 0.939693 | + | 1.62760i | 0.0371446 | + | 0.0643364i | ||||
\(641\) | −6.42331 | − | 2.33789i | −0.253705 | − | 0.0923412i | 0.212037 | − | 0.977262i | \(-0.431990\pi\) |
−0.465742 | + | 0.884920i | \(0.654213\pi\) | |||||||
\(642\) | −21.9525 | − | 18.4203i | −0.866397 | − | 0.726993i | ||||
\(643\) | −18.7592 | + | 32.4920i | −0.739792 | + | 1.28136i | 0.212796 | + | 0.977097i | \(0.431743\pi\) |
−0.952589 | + | 0.304262i | \(0.901590\pi\) | |||||||
\(644\) | −0.385150 | − | 2.18429i | −0.0151770 | − | 0.0860732i | ||||
\(645\) | 4.97024 | + | 28.1876i | 0.195703 | + | 1.10989i | ||||
\(646\) | −17.6794 | + | 14.8348i | −0.695588 | + | 0.583667i | ||||
\(647\) | −2.48480 | + | 0.904395i | −0.0976877 | + | 0.0355554i | −0.390402 | − | 0.920645i | \(-0.627664\pi\) |
0.292714 | + | 0.956200i | \(0.405442\pi\) | |||||||
\(648\) | 9.35695 | − | 3.40565i | 0.367576 | − | 0.133787i | ||||
\(649\) | −1.19118 | + | 0.999522i | −0.0467580 | + | 0.0392347i | ||||
\(650\) | 0.884701 | + | 5.01739i | 0.0347008 | + | 0.196798i | ||||
\(651\) | −10.8736 | − | 61.6675i | −0.426172 | − | 2.41694i | ||||
\(652\) | 0.953582 | − | 1.65165i | 0.0373451 | − | 0.0646837i | ||||
\(653\) | −34.2792 | − | 28.7636i | −1.34145 | − | 1.12561i | −0.981251 | − | 0.192732i | \(-0.938265\pi\) |
−0.360197 | − | 0.932876i | \(-0.617290\pi\) | |||||||
\(654\) | 2.67128 | + | 0.972265i | 0.104455 | + | 0.0380186i | ||||
\(655\) | 16.4107 | + | 28.4241i | 0.641218 | + | 1.11062i | ||||
\(656\) | 5.31172 | − | 9.20017i | 0.207388 | − | 0.359206i | ||||
\(657\) | 2.84541 | − | 2.38758i | 0.111010 | − | 0.0931485i | ||||
\(658\) | 13.5388 | + | 23.4499i | 0.527798 | + | 0.914173i | ||||
\(659\) | −0.790306 | + | 4.48205i | −0.0307859 | + | 0.174596i | −0.996324 | − | 0.0856667i | \(-0.972698\pi\) |
0.965538 | + | 0.260262i | \(0.0838091\pi\) | |||||||
\(660\) | −9.68366 | −0.376936 | ||||||||
\(661\) | −7.56467 | + | 42.9014i | −0.294231 | + | 1.66867i | 0.376078 | + | 0.926588i | \(0.377272\pi\) |
−0.670310 | + | 0.742082i | \(0.733839\pi\) | |||||||
\(662\) | −15.9349 | − | 13.3710i | −0.619327 | − | 0.519677i | ||||
\(663\) | 18.5371 | − | 6.74694i | 0.719919 | − | 0.262029i | ||||
\(664\) | −6.39899 | − | 2.32904i | −0.248329 | − | 0.0903843i | ||||
\(665\) | −48.2344 | −1.87045 | ||||||||
\(666\) | 1.55977 | + | 1.56374i | 0.0604400 | + | 0.0605938i | ||||
\(667\) | −1.39582 | −0.0540465 | ||||||||
\(668\) | −6.22793 | − | 2.26678i | −0.240966 | − | 0.0877044i | ||||
\(669\) | −5.92000 | + | 2.15470i | −0.228880 | + | 0.0833057i | ||||
\(670\) | −0.303806 | − | 0.254923i | −0.0117370 | − | 0.00984855i | ||||
\(671\) | −3.42080 | + | 19.4003i | −0.132058 | + | 0.748940i | ||||
\(672\) | −6.32056 | −0.243821 | ||||||||
\(673\) | 6.60813 | − | 37.4766i | 0.254725 | − | 1.44462i | −0.542053 | − | 0.840344i | \(-0.682353\pi\) |
0.796778 | − | 0.604272i | \(-0.206536\pi\) | |||||||
\(674\) | 1.23612 | + | 2.14103i | 0.0476136 | + | 0.0824693i | ||||
\(675\) | −5.43772 | + | 4.56279i | −0.209298 | + | 0.175622i | ||||
\(676\) | 0.476862 | − | 0.825949i | 0.0183408 | − | 0.0317673i | ||||
\(677\) | −22.0131 | − | 38.1278i | −0.846032 | − | 1.46537i | −0.884722 | − | 0.466120i | \(-0.845652\pi\) |
0.0386894 | − | 0.999251i | \(-0.487682\pi\) | |||||||
\(678\) | −8.81414 | − | 3.20809i | −0.338505 | − | 0.123206i | ||||
\(679\) | 45.0416 | + | 37.7944i | 1.72854 | + | 1.45042i | ||||
\(680\) | −2.91235 | + | 5.04435i | −0.111684 | + | 0.193442i | ||||
\(681\) | 0.736510 | + | 4.17696i | 0.0282231 | + | 0.160061i | ||||
\(682\) | −4.83363 | − | 27.4129i | −0.185089 | − | 1.04969i | ||||
\(683\) | 14.4021 | − | 12.0848i | 0.551081 | − | 0.462412i | −0.324226 | − | 0.945980i | \(-0.605104\pi\) |
0.875307 | + | 0.483568i | \(0.160659\pi\) | |||||||
\(684\) | −2.54079 | + | 0.924774i | −0.0971497 | + | 0.0353596i | ||||
\(685\) | 17.4080 | − | 6.33598i | 0.665125 | − | 0.242086i | ||||
\(686\) | −5.60050 | + | 4.69938i | −0.213828 | + | 0.179423i | ||||
\(687\) | 1.88233 | + | 10.6752i | 0.0718155 | + | 0.407286i | ||||
\(688\) | 1.44209 | + | 8.17848i | 0.0549791 | + | 0.311802i | ||||
\(689\) | 8.38865 | − | 14.5296i | 0.319582 | − | 0.553532i | ||||
\(690\) | −1.69908 | − | 1.42570i | −0.0646828 | − | 0.0542753i | ||||
\(691\) | −25.3128 | − | 9.21310i | −0.962944 | − | 0.350483i | −0.187757 | − | 0.982215i | \(-0.560122\pi\) |
−0.775186 | + | 0.631733i | \(0.782344\pi\) | |||||||
\(692\) | −12.7046 | − | 22.0051i | −0.482958 | − | 0.836508i | ||||
\(693\) | 1.75808 | − | 3.04508i | 0.0667838 | − | 0.115673i | ||||
\(694\) | −4.48427 | + | 3.76275i | −0.170220 | + | 0.142832i | ||||
\(695\) | −8.45244 | − | 14.6401i | −0.320619 | − | 0.555329i | ||||
\(696\) | −0.690712 | + | 3.91722i | −0.0261814 | + | 0.148482i | ||||
\(697\) | 32.9248 | 1.24712 | ||||||||
\(698\) | 0.545283 | − | 3.09246i | 0.0206393 | − | 0.117051i | ||||
\(699\) | 39.8069 | + | 33.4020i | 1.50564 | + | 1.26338i | ||||
\(700\) | 4.75413 | − | 1.73036i | 0.179689 | − | 0.0654016i | ||||
\(701\) | −6.98332 | − | 2.54172i | −0.263756 | − | 0.0959995i | 0.206757 | − | 0.978392i | \(-0.433709\pi\) |
−0.470513 | + | 0.882393i | \(0.655931\pi\) | |||||||
\(702\) | −16.7838 | −0.633463 | ||||||||
\(703\) | 31.9881 | + | 32.0695i | 1.20646 | + | 1.20953i | ||||
\(704\) | −2.80966 | −0.105893 | ||||||||
\(705\) | 25.4447 | + | 9.26110i | 0.958302 | + | 0.348793i | ||||
\(706\) | 10.5699 | − | 3.84713i | 0.397804 | − | 0.144789i | ||||
\(707\) | 31.6251 | + | 26.5366i | 1.18938 | + | 0.998012i | ||||
\(708\) | −0.176243 | + | 0.999522i | −0.00662360 | + | 0.0375643i | ||||
\(709\) | 0.834473 | 0.0313393 | 0.0156697 | − | 0.999877i | \(-0.495012\pi\) | ||||
0.0156697 | + | 0.999877i | \(0.495012\pi\) | |||||||
\(710\) | −1.65034 | + | 9.35955i | −0.0619362 | + | 0.351258i | ||||
\(711\) | 0.345828 | + | 0.598992i | 0.0129696 | + | 0.0224640i | ||||
\(712\) | −7.42123 | + | 6.22715i | −0.278122 | + | 0.233372i | ||||
\(713\) | 3.18781 | − | 5.52146i | 0.119385 | − | 0.206780i | ||||
\(714\) | −9.79455 | − | 16.9646i | −0.366552 | − | 0.634886i | ||||
\(715\) | 17.2219 | + | 6.26827i | 0.644064 | + | 0.234420i | ||||
\(716\) | 6.22405 | + | 5.22260i | 0.232604 | + | 0.195178i | ||||
\(717\) | 22.2248 | − | 38.4945i | 0.830000 | − | 1.43760i | ||||
\(718\) | −4.01012 | − | 22.7425i | −0.149656 | − | 0.848743i | ||||
\(719\) | −0.874879 | − | 4.96169i | −0.0326275 | − | 0.185040i | 0.964138 | − | 0.265400i | \(-0.0855040\pi\) |
−0.996766 | + | 0.0803603i | \(0.974393\pi\) | |||||||
\(720\) | −0.522755 | + | 0.438643i | −0.0194819 | + | 0.0163473i | ||||
\(721\) | −41.9239 | + | 15.2591i | −1.56133 | + | 0.568277i | ||||
\(722\) | −34.2530 | + | 12.4671i | −1.27476 | + | 0.463976i | ||||
\(723\) | −12.4337 | + | 10.4331i | −0.462415 | + | 0.388012i | ||||
\(724\) | 2.06760 | + | 11.7260i | 0.0768419 | + | 0.435792i | ||||
\(725\) | −0.552875 | − | 3.13551i | −0.0205333 | − | 0.116450i | ||||
\(726\) | −2.84783 | + | 4.93259i | −0.105693 | + | 0.183065i | ||||
\(727\) | 14.2591 | + | 11.9648i | 0.528842 | + | 0.443751i | 0.867701 | − | 0.497086i | \(-0.165597\pi\) |
−0.338860 | + | 0.940837i | \(0.610041\pi\) | |||||||
\(728\) | 11.2408 | + | 4.09132i | 0.416613 | + | 0.151635i | ||||
\(729\) | −11.4945 | − | 19.9090i | −0.425720 | − | 0.737369i | ||||
\(730\) | 9.61277 | − | 16.6498i | 0.355785 | − | 0.616237i | ||||
\(731\) | −19.7167 | + | 16.5443i | −0.729248 | + | 0.611912i | ||||
\(732\) | 6.42899 | + | 11.1353i | 0.237622 | + | 0.411574i | ||||
\(733\) | 0.797139 | − | 4.52080i | 0.0294430 | − | 0.166980i | −0.966541 | − | 0.256513i | \(-0.917426\pi\) |
0.995984 | + | 0.0895332i | \(0.0285375\pi\) | |||||||
\(734\) | 1.57151 | 0.0580054 | ||||||||
\(735\) | 2.91989 | − | 16.5595i | 0.107702 | − | 0.610807i | ||||
\(736\) | −0.492978 | − | 0.413658i | −0.0181714 | − | 0.0152476i | ||||
\(737\) | 0.557142 | − | 0.202783i | 0.0205226 | − | 0.00746961i | ||||
\(738\) | 3.62476 | + | 1.31930i | 0.133429 | + | 0.0485643i | ||||
\(739\) | −46.9098 | −1.72560 | −0.862802 | − | 0.505542i | \(-0.831292\pi\) | ||||
−0.862802 | + | 0.505542i | \(0.831292\pi\) | |||||||
\(740\) | 10.3546 | + | 4.84447i | 0.380644 | + | 0.178086i | ||||
\(741\) | 47.3971 | 1.74118 | ||||||||
\(742\) | −15.6555 | − | 5.69814i | −0.574732 | − | 0.209185i | ||||
\(743\) | −4.69037 | + | 1.70716i | −0.172073 | + | 0.0626295i | −0.426620 | − | 0.904431i | \(-0.640296\pi\) |
0.254547 | + | 0.967060i | \(0.418074\pi\) | |||||||
\(744\) | −13.9179 | − | 11.6785i | −0.510254 | − | 0.428154i | ||||
\(745\) | 3.25471 | − | 18.4584i | 0.119243 | − | 0.676263i | ||||
\(746\) | 6.69192 | 0.245009 | ||||||||
\(747\) | 0.429362 | − | 2.43503i | 0.0157095 | − | 0.0890932i | ||||
\(748\) | −4.35394 | − | 7.54125i | −0.159196 | − | 0.275735i | ||||
\(749\) | 41.2572 | − | 34.6189i | 1.50751 | − | 1.26495i | ||||
\(750\) | 11.1460 | − | 19.3055i | 0.406995 | − | 0.704936i | ||||
\(751\) | −9.41422 | − | 16.3059i | −0.343530 | − | 0.595011i | 0.641556 | − | 0.767077i | \(-0.278289\pi\) |
−0.985086 | + | 0.172065i | \(0.944956\pi\) | |||||||
\(752\) | 7.38263 | + | 2.68706i | 0.269217 | + | 0.0979869i | ||||
\(753\) | −9.25853 | − | 7.76883i | −0.337400 | − | 0.283112i | ||||
\(754\) | 3.76403 | − | 6.51950i | 0.137078 | − | 0.237426i | ||||
\(755\) | −3.15344 | − | 17.8841i | −0.114766 | − | 0.650867i | ||||
\(756\) | 2.89414 | + | 16.4135i | 0.105259 | + | 0.596952i | ||||
\(757\) | 0.598778 | − | 0.502435i | 0.0217630 | − | 0.0182613i | −0.631841 | − | 0.775098i | \(-0.717701\pi\) |
0.653604 | + | 0.756837i | \(0.273256\pi\) | |||||||
\(758\) | 10.3103 | − | 3.75263i | 0.374486 | − | 0.136302i | ||||
\(759\) | 3.11590 | − | 1.13409i | 0.113100 | − | 0.0411650i | ||||
\(760\) | −10.7208 | + | 8.99578i | −0.388883 | + | 0.326311i | ||||
\(761\) | −5.27399 | − | 29.9103i | −0.191182 | − | 1.08425i | −0.917752 | − | 0.397154i | \(-0.869998\pi\) |
0.726570 | − | 0.687092i | \(-0.241113\pi\) | |||||||
\(762\) | 2.25946 | + | 12.8140i | 0.0818516 | + | 0.464203i | ||||
\(763\) | −2.67128 | + | 4.62679i | −0.0967067 | + | 0.167501i | ||||
\(764\) | 0.204321 | + | 0.171445i | 0.00739206 | + | 0.00620267i | ||||
\(765\) | −1.98741 | − | 0.723359i | −0.0718551 | − | 0.0261531i | ||||
\(766\) | 12.6285 | + | 21.8733i | 0.456287 | + | 0.790313i | ||||
\(767\) | 0.960433 | − | 1.66352i | 0.0346792 | − | 0.0600662i | ||||
\(768\) | −1.40483 | + | 1.17879i | −0.0506925 | + | 0.0425360i | ||||
\(769\) | 7.98228 | + | 13.8257i | 0.287848 | + | 0.498568i | 0.973296 | − | 0.229554i | \(-0.0737268\pi\) |