Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [450,2,Mod(31,450)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(450, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([10, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("450.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 450 = 2 \cdot 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 450.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.59326809096\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(15\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 331.7 | ||
Character | \(\chi\) | \(=\) | 450.331 |
Dual form | 450.2.q.c.121.7 |
$q$-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 \(\left(\mathbb{Z}/450\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.978148 | + | 0.207912i | 0.691655 | + | 0.147016i | ||||
\(3\) | −0.236280 | + | 1.71586i | −0.136416 | + | 0.990652i | ||||
\(4\) | 0.913545 | + | 0.406737i | 0.456773 | + | 0.203368i | ||||
\(5\) | 1.20894 | + | 1.88108i | 0.540657 | + | 0.841243i | ||||
\(6\) | −0.587864 | + | 1.62924i | −0.239994 | + | 0.665134i | ||||
\(7\) | −0.359749 | + | 0.623104i | −0.135972 | + | 0.235511i | −0.925968 | − | 0.377601i | \(-0.876749\pi\) |
0.789996 | + | 0.613112i | \(0.210082\pi\) | |||||||
\(8\) | 0.809017 | + | 0.587785i | 0.286031 | + | 0.207813i | ||||
\(9\) | −2.88834 | − | 0.810846i | −0.962781 | − | 0.270282i | ||||
\(10\) | 0.791428 | + | 2.09133i | 0.250272 | + | 0.661335i | ||||
\(11\) | 1.83868 | + | 0.390823i | 0.554383 | + | 0.117838i | 0.476580 | − | 0.879131i | \(-0.341876\pi\) |
0.0778027 | + | 0.996969i | \(0.475210\pi\) | |||||||
\(12\) | −0.913755 | + | 1.47141i | −0.263778 | + | 0.424760i | ||||
\(13\) | 1.30552 | − | 0.277496i | 0.362085 | − | 0.0769635i | −0.0232769 | − | 0.999729i | \(-0.507410\pi\) |
0.385362 | + | 0.922766i | \(0.374077\pi\) | |||||||
\(14\) | −0.481438 | + | 0.534691i | −0.128670 | + | 0.142902i | ||||
\(15\) | −3.51331 | + | 1.62992i | −0.907134 | + | 0.420843i | ||||
\(16\) | 0.669131 | + | 0.743145i | 0.167283 | + | 0.185786i | ||||
\(17\) | −6.05141 | − | 4.39660i | −1.46768 | − | 1.06633i | −0.981278 | − | 0.192599i | \(-0.938308\pi\) |
−0.486404 | − | 0.873734i | \(-0.661692\pi\) | |||||||
\(18\) | −2.65664 | − | 1.39365i | −0.626176 | − | 0.328486i | ||||
\(19\) | 2.56465 | + | 1.86332i | 0.588370 | + | 0.427476i | 0.841732 | − | 0.539896i | \(-0.181536\pi\) |
−0.253362 | + | 0.967372i | \(0.581536\pi\) | |||||||
\(20\) | 0.339323 | + | 2.21017i | 0.0758749 | + | 0.494209i | ||||
\(21\) | −0.984156 | − | 0.764505i | −0.214760 | − | 0.166829i | ||||
\(22\) | 1.71724 | + | 0.764566i | 0.366118 | + | 0.163006i | ||||
\(23\) | 0.692061 | − | 0.768611i | 0.144305 | − | 0.160266i | −0.666660 | − | 0.745362i | \(-0.732276\pi\) |
0.810964 | + | 0.585096i | \(0.198943\pi\) | |||||||
\(24\) | −1.19971 | + | 1.24928i | −0.244890 | + | 0.255008i | ||||
\(25\) | −2.07691 | + | 4.54824i | −0.415381 | + | 0.909647i | ||||
\(26\) | 1.33468 | 0.261753 | ||||||||
\(27\) | 2.07376 | − | 4.76440i | 0.399094 | − | 0.916910i | ||||
\(28\) | −0.582086 | + | 0.422910i | −0.110004 | + | 0.0799225i | ||||
\(29\) | 0.649741 | + | 6.18187i | 0.120654 | + | 1.14794i | 0.872503 | + | 0.488609i | \(0.162496\pi\) |
−0.751849 | + | 0.659335i | \(0.770838\pi\) | |||||||
\(30\) | −3.77542 | + | 0.863841i | −0.689294 | + | 0.157715i | ||||
\(31\) | 0.233663 | − | 2.22315i | 0.0419671 | − | 0.399290i | −0.953293 | − | 0.302046i | \(-0.902331\pi\) |
0.995261 | − | 0.0972443i | \(-0.0310028\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −1.10504 | + | 3.06257i | −0.192363 | + | 0.533125i | ||||
\(34\) | −5.00506 | − | 5.55868i | −0.858361 | − | 0.953307i | ||||
\(35\) | −1.60702 | + | 0.0765820i | −0.271636 | + | 0.0129447i | ||||
\(36\) | −2.30883 | − | 1.91554i | −0.384805 | − | 0.319257i | ||||
\(37\) | 3.26131 | − | 10.0373i | 0.536156 | − | 1.65012i | −0.204981 | − | 0.978766i | \(-0.565713\pi\) |
0.741137 | − | 0.671353i | \(-0.234287\pi\) | |||||||
\(38\) | 2.12120 | + | 2.35583i | 0.344103 | + | 0.382165i | ||||
\(39\) | 0.167677 | + | 2.30565i | 0.0268497 | + | 0.369199i | ||||
\(40\) | −0.127613 | + | 2.23242i | −0.0201774 | + | 0.352977i | ||||
\(41\) | 1.78485 | − | 0.379382i | 0.278747 | − | 0.0592495i | −0.0664168 | − | 0.997792i | \(-0.521157\pi\) |
0.345164 | + | 0.938542i | \(0.387823\pi\) | |||||||
\(42\) | −0.803700 | − | 0.952417i | −0.124014 | − | 0.146961i | ||||
\(43\) | 2.58549 | − | 4.47821i | 0.394284 | − | 0.682920i | −0.598725 | − | 0.800954i | \(-0.704326\pi\) |
0.993010 | + | 0.118034i | \(0.0376593\pi\) | |||||||
\(44\) | 1.52076 | + | 1.10489i | 0.229263 | + | 0.166569i | ||||
\(45\) | −1.96658 | − | 6.41347i | −0.293161 | − | 0.956063i | ||||
\(46\) | 0.836741 | − | 0.607928i | 0.123371 | − | 0.0896340i | ||||
\(47\) | 0.628177 | + | 5.97671i | 0.0916291 | + | 0.871792i | 0.939721 | + | 0.341943i | \(0.111085\pi\) |
−0.848092 | + | 0.529850i | \(0.822248\pi\) | |||||||
\(48\) | −1.43323 | + | 0.972543i | −0.206869 | + | 0.140375i | ||||
\(49\) | 3.24116 | + | 5.61386i | 0.463023 | + | 0.801979i | ||||
\(50\) | −2.97715 | + | 4.01703i | −0.421033 | + | 0.568094i | ||||
\(51\) | 8.97378 | − | 9.34453i | 1.25658 | − | 1.30850i | ||||
\(52\) | 1.30552 | + | 0.277496i | 0.181042 | + | 0.0384818i | ||||
\(53\) | −7.70981 | + | 5.60151i | −1.05902 | + | 0.769426i | −0.973908 | − | 0.226945i | \(-0.927126\pi\) |
−0.0851168 | + | 0.996371i | \(0.527126\pi\) | |||||||
\(54\) | 3.01901 | − | 4.22913i | 0.410836 | − | 0.575512i | ||||
\(55\) | 1.48769 | + | 3.93118i | 0.200600 | + | 0.530081i | ||||
\(56\) | −0.657294 | + | 0.292646i | −0.0878346 | + | 0.0391065i | ||||
\(57\) | −3.80318 | + | 3.96030i | −0.503743 | + | 0.524555i | ||||
\(58\) | −0.649741 | + | 6.18187i | −0.0853151 | + | 0.811719i | ||||
\(59\) | 9.88782 | − | 2.10172i | 1.28728 | − | 0.273621i | 0.487085 | − | 0.873355i | \(-0.338060\pi\) |
0.800200 | + | 0.599734i | \(0.204727\pi\) | |||||||
\(60\) | −3.87252 | + | 0.0600106i | −0.499940 | + | 0.00774733i | ||||
\(61\) | 0.0745108 | + | 0.0158378i | 0.00954014 | + | 0.00202782i | 0.212679 | − | 0.977122i | \(-0.431781\pi\) |
−0.203139 | + | 0.979150i | \(0.565114\pi\) | |||||||
\(62\) | 0.690776 | − | 2.12599i | 0.0877286 | − | 0.270001i | ||||
\(63\) | 1.54432 | − | 1.50804i | 0.194566 | − | 0.189995i | ||||
\(64\) | 0.309017 | + | 0.951057i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 2.10029 | + | 2.12030i | 0.260509 | + | 0.262991i | ||||
\(66\) | −1.71764 | + | 2.76590i | −0.211427 | + | 0.340458i | ||||
\(67\) | 1.34428 | − | 12.7899i | 0.164229 | − | 1.56254i | −0.533265 | − | 0.845948i | \(-0.679035\pi\) |
0.697495 | − | 0.716590i | \(-0.254298\pi\) | |||||||
\(68\) | −3.73997 | − | 6.47782i | −0.453538 | − | 0.785552i | ||||
\(69\) | 1.15531 | + | 1.36909i | 0.139083 | + | 0.164819i | ||||
\(70\) | −1.58783 | − | 0.259210i | −0.189782 | − | 0.0309816i | ||||
\(71\) | 1.99050 | − | 1.44618i | 0.236228 | − | 0.171630i | −0.463373 | − | 0.886163i | \(-0.653361\pi\) |
0.699601 | + | 0.714533i | \(0.253361\pi\) | |||||||
\(72\) | −1.86012 | − | 2.35371i | −0.219217 | − | 0.277388i | ||||
\(73\) | 1.04369 | + | 3.21213i | 0.122154 | + | 0.375952i | 0.993372 | − | 0.114945i | \(-0.0366692\pi\) |
−0.871218 | + | 0.490897i | \(0.836669\pi\) | |||||||
\(74\) | 5.27691 | − | 9.13988i | 0.613429 | − | 1.06249i | ||||
\(75\) | −7.31340 | − | 4.63833i | −0.844479 | − | 0.535589i | ||||
\(76\) | 1.58504 | + | 2.74537i | 0.181816 | + | 0.314915i | ||||
\(77\) | −0.904987 | + | 1.00509i | −0.103133 | + | 0.114541i | ||||
\(78\) | −0.315359 | + | 2.29013i | −0.0357073 | + | 0.259306i | ||||
\(79\) | −1.07795 | − | 10.2560i | −0.121279 | − | 1.15389i | −0.870706 | − | 0.491804i | \(-0.836338\pi\) |
0.749427 | − | 0.662087i | \(-0.230329\pi\) | |||||||
\(80\) | −0.588971 | + | 2.15711i | −0.0658490 | + | 0.241172i | ||||
\(81\) | 7.68506 | + | 4.68401i | 0.853895 | + | 0.520445i | ||||
\(82\) | 1.82473 | 0.201507 | ||||||||
\(83\) | 3.50329 | − | 1.55976i | 0.384536 | − | 0.171206i | −0.205358 | − | 0.978687i | \(-0.565836\pi\) |
0.589894 | + | 0.807480i | \(0.299169\pi\) | |||||||
\(84\) | −0.588119 | − | 1.09870i | −0.0641691 | − | 0.119878i | ||||
\(85\) | 0.954537 | − | 16.6984i | 0.103534 | − | 1.81120i | ||||
\(86\) | 3.46007 | − | 3.84279i | 0.373109 | − | 0.414379i | ||||
\(87\) | −10.7607 | − | 0.345789i | −1.15367 | − | 0.0370725i | ||||
\(88\) | 1.25780 | + | 1.39693i | 0.134082 | + | 0.148913i | ||||
\(89\) | −1.59518 | − | 4.90946i | −0.169089 | − | 0.520401i | 0.830226 | − | 0.557427i | \(-0.188212\pi\) |
−0.999314 | + | 0.0370261i | \(0.988212\pi\) | |||||||
\(90\) | −0.590174 | − | 6.68219i | −0.0622098 | − | 0.704365i | ||||
\(91\) | −0.296749 | + | 0.913300i | −0.0311078 | + | 0.0957399i | ||||
\(92\) | 0.944851 | − | 0.420675i | 0.0985075 | − | 0.0438584i | ||||
\(93\) | 3.75940 | + | 0.926218i | 0.389832 | + | 0.0960444i | ||||
\(94\) | −0.628177 | + | 5.97671i | −0.0647915 | + | 0.616450i | ||||
\(95\) | −0.404542 | + | 7.07695i | −0.0415052 | + | 0.726080i | ||||
\(96\) | −1.60412 | + | 0.653305i | −0.163720 | + | 0.0666777i | ||||
\(97\) | −1.26605 | − | 12.0456i | −0.128548 | − | 1.22305i | −0.848564 | − | 0.529092i | \(-0.822533\pi\) |
0.720017 | − | 0.693957i | \(-0.244134\pi\) | |||||||
\(98\) | 2.00315 | + | 6.16506i | 0.202348 | + | 0.622765i | ||||
\(99\) | −4.99384 | − | 2.61972i | −0.501900 | − | 0.263292i | ||||
\(100\) | −3.74728 | + | 3.31027i | −0.374728 | + | 0.331027i | ||||
\(101\) | 0.577106 | − | 0.999576i | 0.0574242 | − | 0.0994616i | −0.835884 | − | 0.548906i | \(-0.815045\pi\) |
0.893308 | + | 0.449444i | \(0.148378\pi\) | |||||||
\(102\) | 10.7205 | − | 7.27457i | 1.06149 | − | 0.720290i | ||||
\(103\) | 14.8299 | + | 6.60270i | 1.46123 | + | 0.650584i | 0.974789 | − | 0.223127i | \(-0.0716266\pi\) |
0.486445 | + | 0.873711i | \(0.338293\pi\) | |||||||
\(104\) | 1.21929 | + | 0.542864i | 0.119561 | + | 0.0532322i | ||||
\(105\) | 0.248303 | − | 2.77552i | 0.0242319 | − | 0.270863i | ||||
\(106\) | −8.70596 | + | 3.87614i | −0.845597 | + | 0.376484i | ||||
\(107\) | 0.112700 | 0.0108952 | 0.00544758 | − | 0.999985i | \(-0.498266\pi\) | ||||
0.00544758 | + | 0.999985i | \(0.498266\pi\) | |||||||
\(108\) | 3.83233 | − | 3.50903i | 0.368766 | − | 0.337656i | ||||
\(109\) | 0.949313 | − | 2.92168i | 0.0909277 | − | 0.279847i | −0.895243 | − | 0.445578i | \(-0.852998\pi\) |
0.986171 | + | 0.165731i | \(0.0529983\pi\) | |||||||
\(110\) | 0.637844 | + | 4.15459i | 0.0608161 | + | 0.396124i | ||||
\(111\) | 16.4520 | + | 7.96756i | 1.56155 | + | 0.756247i | ||||
\(112\) | −0.703775 | + | 0.149592i | −0.0665005 | + | 0.0141351i | ||||
\(113\) | −16.5426 | + | 3.51624i | −1.55620 | + | 0.330780i | −0.904089 | − | 0.427344i | \(-0.859449\pi\) |
−0.652110 | + | 0.758124i | \(0.726116\pi\) | |||||||
\(114\) | −4.54346 | + | 3.08304i | −0.425534 | + | 0.288753i | ||||
\(115\) | 2.28248 | + | 0.372611i | 0.212842 | + | 0.0347462i | ||||
\(116\) | −1.92083 | + | 5.91169i | −0.178344 | + | 0.548887i | ||||
\(117\) | −3.99579 | − | 0.257069i | −0.369410 | − | 0.0237660i | ||||
\(118\) | 10.1087 | 0.930583 | ||||||||
\(119\) | 4.91653 | − | 2.18898i | 0.450697 | − | 0.200663i | ||||
\(120\) | −3.80037 | − | 0.746443i | −0.346925 | − | 0.0681406i | ||||
\(121\) | −6.82100 | − | 3.03690i | −0.620091 | − | 0.276082i | ||||
\(122\) | 0.0695897 | + | 0.0309834i | 0.00630036 | + | 0.00280510i | ||||
\(123\) | 0.229241 | + | 3.15219i | 0.0206700 | + | 0.284224i | ||||
\(124\) | 1.11770 | − | 1.93591i | 0.100372 | − | 0.173850i | ||||
\(125\) | −11.0665 | + | 1.59175i | −0.989813 | + | 0.142370i | ||||
\(126\) | 1.82411 | − | 1.15400i | 0.162505 | − | 0.102806i | ||||
\(127\) | −3.41131 | − | 10.4989i | −0.302705 | − | 0.931629i | −0.980524 | − | 0.196400i | \(-0.937075\pi\) |
0.677819 | − | 0.735229i | \(-0.262925\pi\) | |||||||
\(128\) | 0.104528 | + | 0.994522i | 0.00923910 | + | 0.0879041i | ||||
\(129\) | 7.07307 | + | 5.49445i | 0.622749 | + | 0.483760i | ||||
\(130\) | 1.61356 | + | 2.51064i | 0.141518 | + | 0.220198i | ||||
\(131\) | −1.60154 | + | 15.2376i | −0.139927 | + | 1.33132i | 0.668935 | + | 0.743321i | \(0.266750\pi\) |
−0.808863 | + | 0.587998i | \(0.799916\pi\) | |||||||
\(132\) | −2.25517 | + | 2.34834i | −0.196287 | + | 0.204397i | ||||
\(133\) | −2.08367 | + | 0.927711i | −0.180677 | + | 0.0804427i | ||||
\(134\) | 3.97407 | − | 12.2309i | 0.343308 | − | 1.05659i | ||||
\(135\) | 11.4693 | − | 1.85900i | 0.987117 | − | 0.159998i | ||||
\(136\) | −2.31143 | − | 7.11385i | −0.198204 | − | 0.610008i | ||||
\(137\) | −13.7174 | − | 15.2347i | −1.17196 | − | 1.30159i | −0.944767 | − | 0.327743i | \(-0.893712\pi\) |
−0.227192 | − | 0.973850i | \(-0.572955\pi\) | |||||||
\(138\) | 0.845413 | + | 1.57937i | 0.0719663 | + | 0.134445i | ||||
\(139\) | 5.22347 | − | 5.80126i | 0.443049 | − | 0.492056i | −0.479713 | − | 0.877425i | \(-0.659259\pi\) |
0.922762 | + | 0.385369i | \(0.125926\pi\) | |||||||
\(140\) | −1.49924 | − | 0.583674i | −0.126709 | − | 0.0493294i | ||||
\(141\) | −10.4036 | − | 0.334313i | −0.876142 | − | 0.0281542i | ||||
\(142\) | 2.24768 | − | 1.00073i | 0.188621 | − | 0.0839794i | ||||
\(143\) | 2.50888 | 0.209803 | ||||||||
\(144\) | −1.33010 | − | 2.68902i | −0.110842 | − | 0.224085i | ||||
\(145\) | −10.8431 | + | 8.69575i | −0.900468 | + | 0.722143i | ||||
\(146\) | 0.353038 | + | 3.35893i | 0.0292176 | + | 0.277987i | ||||
\(147\) | −10.3984 | + | 4.23493i | −0.857646 | + | 0.349291i | ||||
\(148\) | 7.06189 | − | 7.84302i | 0.580484 | − | 0.644692i | ||||
\(149\) | 2.87961 | + | 4.98763i | 0.235907 | + | 0.408603i | 0.959536 | − | 0.281587i | \(-0.0908606\pi\) |
−0.723629 | + | 0.690189i | \(0.757527\pi\) | |||||||
\(150\) | −6.18922 | − | 6.05752i | −0.505348 | − | 0.494594i | ||||
\(151\) | 0.160182 | − | 0.277444i | 0.0130354 | − | 0.0225781i | −0.859434 | − | 0.511247i | \(-0.829184\pi\) |
0.872470 | + | 0.488668i | \(0.162517\pi\) | |||||||
\(152\) | 0.979608 | + | 3.01492i | 0.0794567 | + | 0.244542i | ||||
\(153\) | 13.9136 | + | 17.6057i | 1.12485 | + | 1.42333i | ||||
\(154\) | −1.09418 | + | 0.794969i | −0.0881716 | + | 0.0640604i | ||||
\(155\) | 4.46441 | − | 2.24813i | 0.358590 | − | 0.180574i | ||||
\(156\) | −0.784611 | + | 2.17451i | −0.0628192 | + | 0.174100i | ||||
\(157\) | 5.69272 | + | 9.86008i | 0.454328 | + | 0.786920i | 0.998649 | − | 0.0519572i | \(-0.0165459\pi\) |
−0.544321 | + | 0.838877i | \(0.683213\pi\) | |||||||
\(158\) | 1.07795 | − | 10.2560i | 0.0857571 | − | 0.815924i | ||||
\(159\) | −7.78972 | − | 14.5525i | −0.617765 | − | 1.15409i | ||||
\(160\) | −1.02459 | + | 1.98752i | −0.0810008 | + | 0.157127i | ||||
\(161\) | 0.229956 | + | 0.707732i | 0.0181231 | + | 0.0557771i | ||||
\(162\) | 6.54326 | + | 6.17946i | 0.514087 | + | 0.485504i | ||||
\(163\) | −6.09769 | + | 18.7668i | −0.477608 | + | 1.46993i | 0.364801 | + | 0.931086i | \(0.381137\pi\) |
−0.842408 | + | 0.538840i | \(0.818863\pi\) | |||||||
\(164\) | 1.78485 | + | 0.379382i | 0.139373 | + | 0.0296247i | ||||
\(165\) | −7.09687 | + | 1.62381i | −0.552490 | + | 0.126414i | ||||
\(166\) | 3.75103 | − | 0.797305i | 0.291136 | − | 0.0618829i | ||||
\(167\) | −2.41048 | + | 22.9341i | −0.186528 | + | 1.77470i | 0.355830 | + | 0.934551i | \(0.384198\pi\) |
−0.542359 | + | 0.840147i | \(0.682469\pi\) | |||||||
\(168\) | −0.346834 | − | 1.19697i | −0.0267588 | − | 0.0923483i | ||||
\(169\) | −10.2487 | + | 4.56303i | −0.788363 | + | 0.351002i | ||||
\(170\) | 4.40547 | − | 16.1351i | 0.337884 | − | 1.23750i | ||||
\(171\) | −5.89671 | − | 7.46145i | −0.450933 | − | 0.570592i | ||||
\(172\) | 4.18342 | − | 3.03943i | 0.318983 | − | 0.231754i | ||||
\(173\) | −10.1768 | − | 2.16314i | −0.773724 | − | 0.164460i | −0.195903 | − | 0.980623i | \(-0.562764\pi\) |
−0.577821 | + | 0.816163i | \(0.696097\pi\) | |||||||
\(174\) | −10.4537 | − | 2.57552i | −0.792493 | − | 0.195249i | ||||
\(175\) | −2.08686 | − | 2.93035i | −0.157752 | − | 0.221514i | ||||
\(176\) | 0.939879 | + | 1.62792i | 0.0708460 | + | 0.122709i | ||||
\(177\) | 1.26996 | + | 17.4627i | 0.0954562 | + | 1.31258i | ||||
\(178\) | −0.539587 | − | 5.13383i | −0.0404438 | − | 0.384797i | ||||
\(179\) | −6.70305 | + | 4.87005i | −0.501010 | + | 0.364005i | −0.809403 | − | 0.587254i | \(-0.800209\pi\) |
0.308393 | + | 0.951259i | \(0.400209\pi\) | |||||||
\(180\) | 0.812029 | − | 6.65887i | 0.0605251 | − | 0.496323i | ||||
\(181\) | 0.775526 | + | 0.563453i | 0.0576444 | + | 0.0418811i | 0.616234 | − | 0.787563i | \(-0.288657\pi\) |
−0.558590 | + | 0.829444i | \(0.688657\pi\) | |||||||
\(182\) | −0.480150 | + | 0.831645i | −0.0355911 | + | 0.0616456i | ||||
\(183\) | −0.0447808 | + | 0.124108i | −0.00331029 | + | 0.00917432i | ||||
\(184\) | 1.01167 | − | 0.215036i | 0.0745811 | − | 0.0158527i | ||||
\(185\) | 22.8237 | − | 5.99974i | 1.67803 | − | 0.441110i | ||||
\(186\) | 3.48468 | + | 1.68760i | 0.255509 | + | 0.123741i | ||||
\(187\) | −9.40830 | − | 10.4490i | −0.688003 | − | 0.764105i | ||||
\(188\) | −1.85708 | + | 5.71550i | −0.135441 | + | 0.416845i | ||||
\(189\) | 2.22268 | + | 3.00615i | 0.161677 | + | 0.218665i | ||||
\(190\) | −1.86708 | + | 6.83820i | −0.135452 | + | 0.496095i | ||||
\(191\) | −8.87924 | − | 9.86140i | −0.642479 | − | 0.713546i | 0.330663 | − | 0.943749i | \(-0.392728\pi\) |
−0.973143 | + | 0.230203i | \(0.926061\pi\) | |||||||
\(192\) | −1.70489 | + | 0.305514i | −0.123040 | + | 0.0220486i | ||||
\(193\) | −3.85974 | − | 6.68526i | −0.277830 | − | 0.481215i | 0.693015 | − | 0.720923i | \(-0.256282\pi\) |
−0.970845 | + | 0.239707i | \(0.922948\pi\) | |||||||
\(194\) | 1.26605 | − | 12.0456i | 0.0908969 | − | 0.864826i | ||||
\(195\) | −4.13439 | + | 3.10281i | −0.296070 | + | 0.222197i | ||||
\(196\) | 0.677587 | + | 6.44681i | 0.0483991 | + | 0.460487i | ||||
\(197\) | −11.7828 | + | 8.56067i | −0.839486 | + | 0.609922i | −0.922227 | − | 0.386649i | \(-0.873633\pi\) |
0.0827409 | + | 0.996571i | \(0.473633\pi\) | |||||||
\(198\) | −4.34004 | − | 3.60075i | −0.308433 | − | 0.255894i | ||||
\(199\) | 8.43837 | 0.598180 | 0.299090 | − | 0.954225i | \(-0.403317\pi\) | ||||
0.299090 | + | 0.954225i | \(0.403317\pi\) | |||||||
\(200\) | −4.35364 | + | 2.45883i | −0.307849 | + | 0.173865i | ||||
\(201\) | 21.6281 | + | 5.32859i | 1.52553 | + | 0.375850i | ||||
\(202\) | 0.772318 | − | 0.857746i | 0.0543401 | − | 0.0603508i | ||||
\(203\) | −4.08569 | − | 1.81907i | −0.286759 | − | 0.127673i | ||||
\(204\) | 11.9987 | − | 4.88669i | 0.840078 | − | 0.342137i | ||||
\(205\) | 2.87143 | + | 2.89879i | 0.200550 | + | 0.202460i | ||||
\(206\) | 13.1331 | + | 9.54173i | 0.915024 | + | 0.664804i | ||||
\(207\) | −2.62213 | + | 1.65886i | −0.182251 | + | 0.115299i | ||||
\(208\) | 1.07978 | + | 0.784506i | 0.0748693 | + | 0.0543957i | ||||
\(209\) | 3.98733 | + | 4.42838i | 0.275810 | + | 0.306318i | ||||
\(210\) | 0.819940 | − | 2.66324i | 0.0565813 | − | 0.183781i | ||||
\(211\) | 7.82806 | − | 8.69395i | 0.538906 | − | 0.598516i | −0.410774 | − | 0.911737i | \(-0.634741\pi\) |
0.949680 | + | 0.313221i | \(0.101408\pi\) | |||||||
\(212\) | −9.32160 | + | 1.98137i | −0.640210 | + | 0.136081i | ||||
\(213\) | 2.01113 | + | 3.75711i | 0.137800 | + | 0.257433i | ||||
\(214\) | 0.110238 | + | 0.0234317i | 0.00753569 | + | 0.00160176i | ||||
\(215\) | 11.5496 | − | 0.550390i | 0.787674 | − | 0.0375363i | ||||
\(216\) | 4.47815 | − | 2.63556i | 0.304699 | − | 0.179327i | ||||
\(217\) | 1.30119 | + | 0.945373i | 0.0883308 | + | 0.0641761i | ||||
\(218\) | 1.53602 | − | 2.66047i | 0.104032 | − | 0.180189i | ||||
\(219\) | −5.75817 | + | 1.03185i | −0.389101 | + | 0.0697262i | ||||
\(220\) | −0.239881 | + | 4.19641i | −0.0161728 | + | 0.282922i | ||||
\(221\) | −9.12025 | − | 4.06059i | −0.613494 | − | 0.273145i | ||||
\(222\) | 14.4359 | + | 11.2140i | 0.968875 | + | 0.752635i | ||||
\(223\) | −10.7902 | − | 2.29352i | −0.722564 | − | 0.153586i | −0.168072 | − | 0.985775i | \(-0.553754\pi\) |
−0.554492 | + | 0.832189i | \(0.687087\pi\) | |||||||
\(224\) | −0.719498 | −0.0480735 | ||||||||
\(225\) | 9.68674 | − | 11.4528i | 0.645783 | − | 0.763521i | ||||
\(226\) | −16.9122 | −1.12498 | ||||||||
\(227\) | −2.76541 | − | 0.587806i | −0.183547 | − | 0.0390141i | 0.115221 | − | 0.993340i | \(-0.463242\pi\) |
−0.298768 | + | 0.954326i | \(0.596576\pi\) | |||||||
\(228\) | −5.08518 | + | 2.07103i | −0.336774 | + | 0.137157i | ||||
\(229\) | 3.54388 | + | 1.57784i | 0.234186 | + | 0.104266i | 0.520475 | − | 0.853877i | \(-0.325755\pi\) |
−0.286289 | + | 0.958143i | \(0.592422\pi\) | |||||||
\(230\) | 2.15513 | + | 0.839023i | 0.142105 | + | 0.0553235i | ||||
\(231\) | −1.51076 | − | 1.79031i | −0.0994008 | − | 0.117794i | ||||
\(232\) | −3.10796 | + | 5.38315i | −0.204048 | + | 0.353421i | ||||
\(233\) | 6.63336 | + | 4.81942i | 0.434566 | + | 0.315731i | 0.783472 | − | 0.621427i | \(-0.213447\pi\) |
−0.348906 | + | 0.937158i | \(0.613447\pi\) | |||||||
\(234\) | −3.85502 | − | 1.08222i | −0.252011 | − | 0.0707471i | ||||
\(235\) | −10.4832 | + | 8.40716i | −0.683850 | + | 0.548423i | ||||
\(236\) | 9.88782 | + | 2.10172i | 0.643642 | + | 0.136810i | ||||
\(237\) | 17.8526 | + | 0.573680i | 1.15965 | + | 0.0372645i | ||||
\(238\) | 5.26420 | − | 1.11894i | 0.341228 | − | 0.0725301i | ||||
\(239\) | 19.0368 | − | 21.1426i | 1.23139 | − | 1.36760i | 0.324692 | − | 0.945820i | \(-0.394740\pi\) |
0.906699 | − | 0.421778i | \(-0.138594\pi\) | |||||||
\(240\) | −3.56213 | − | 1.52027i | −0.229935 | − | 0.0981332i | ||||
\(241\) | −3.16369 | − | 3.51364i | −0.203791 | − | 0.226333i | 0.632582 | − | 0.774493i | \(-0.281995\pi\) |
−0.836373 | + | 0.548160i | \(0.815328\pi\) | |||||||
\(242\) | −6.04054 | − | 4.38871i | −0.388300 | − | 0.282117i | ||||
\(243\) | −9.85292 | + | 12.0797i | −0.632065 | + | 0.774915i | ||||
\(244\) | 0.0616272 | + | 0.0447748i | 0.00394528 | + | 0.00286641i | ||||
\(245\) | −6.64171 | + | 12.8837i | −0.424324 | + | 0.823111i | ||||
\(246\) | −0.431146 | + | 3.13097i | −0.0274889 | + | 0.199624i | ||||
\(247\) | 3.86525 | + | 1.72092i | 0.245940 | + | 0.109500i | ||||
\(248\) | 1.49577 | − | 1.66122i | 0.0949817 | − | 0.105488i | ||||
\(249\) | 1.84858 | + | 6.37969i | 0.117149 | + | 0.404297i | ||||
\(250\) | −11.1556 | − | 0.743881i | −0.705540 | − | 0.0470471i | ||||
\(251\) | 3.89570 | 0.245894 | 0.122947 | − | 0.992413i | \(-0.460765\pi\) | ||||
0.122947 | + | 0.992413i | \(0.460765\pi\) | |||||||
\(252\) | 2.02418 | − | 0.749528i | 0.127511 | − | 0.0472158i | ||||
\(253\) | 1.57287 | − | 1.14276i | 0.0988854 | − | 0.0718445i | ||||
\(254\) | −1.15391 | − | 10.9787i | −0.0724029 | − | 0.688868i | ||||
\(255\) | 28.4266 | + | 5.58335i | 1.78014 | + | 0.349643i | ||||
\(256\) | −0.104528 | + | 0.994522i | −0.00653303 | + | 0.0621576i | ||||
\(257\) | 13.9129 | + | 24.0978i | 0.867861 | + | 1.50318i | 0.864178 | + | 0.503186i | \(0.167839\pi\) |
0.00368262 | + | 0.999993i | \(0.498828\pi\) | |||||||
\(258\) | 5.77615 | + | 6.84496i | 0.359607 | + | 0.426149i | ||||
\(259\) | 5.08101 | + | 5.64304i | 0.315719 | + | 0.350641i | ||||
\(260\) | 1.05631 | + | 2.79125i | 0.0655093 | + | 0.173106i | ||||
\(261\) | 3.13587 | − | 18.3822i | 0.194106 | − | 1.13783i | ||||
\(262\) | −4.73463 | + | 14.5717i | −0.292506 | + | 0.900241i | ||||
\(263\) | −11.8168 | − | 13.1239i | −0.728655 | − | 0.809253i | 0.259004 | − | 0.965876i | \(-0.416606\pi\) |
−0.987658 | + | 0.156623i | \(0.949939\pi\) | |||||||
\(264\) | −2.69413 | + | 1.82815i | −0.165812 | + | 0.112515i | ||||
\(265\) | −19.8576 | − | 7.73085i | −1.21984 | − | 0.474902i | ||||
\(266\) | −2.23102 | + | 0.474218i | −0.136793 | + | 0.0290762i | ||||
\(267\) | 8.80084 | − | 1.57710i | 0.538603 | − | 0.0965167i | ||||
\(268\) | 6.43019 | − | 11.1374i | 0.392786 | − | 0.680326i | ||||
\(269\) | −9.26699 | − | 6.73286i | −0.565018 | − | 0.410510i | 0.268274 | − | 0.963343i | \(-0.413547\pi\) |
−0.833292 | + | 0.552833i | \(0.813547\pi\) | |||||||
\(270\) | 11.6051 | + | 0.566214i | 0.706267 | + | 0.0344587i | ||||
\(271\) | −18.9129 | + | 13.7410i | −1.14888 | + | 0.834707i | −0.988331 | − | 0.152322i | \(-0.951325\pi\) |
−0.160544 | + | 0.987029i | \(0.551325\pi\) | |||||||
\(272\) | −0.781867 | − | 7.43897i | −0.0474077 | − | 0.451054i | ||||
\(273\) | −1.49698 | − | 0.724975i | −0.0906013 | − | 0.0438775i | ||||
\(274\) | −10.2502 | − | 17.7538i | −0.619237 | − | 1.07255i | ||||
\(275\) | −5.59632 | + | 7.55105i | −0.337471 | + | 0.455345i | ||||
\(276\) | 0.498569 | + | 1.72063i | 0.0300103 | + | 0.103570i | ||||
\(277\) | −13.2017 | − | 2.80610i | −0.793212 | − | 0.168602i | −0.206552 | − | 0.978436i | \(-0.566224\pi\) |
−0.586660 | + | 0.809833i | \(0.699558\pi\) | |||||||
\(278\) | 6.31548 | − | 4.58846i | 0.378777 | − | 0.275198i | ||||
\(279\) | −2.47753 | + | 6.23176i | −0.148326 | + | 0.373086i | ||||
\(280\) | −1.34512 | − | 0.882628i | −0.0803864 | − | 0.0527471i | ||||
\(281\) | −23.9117 | + | 10.6462i | −1.42645 | + | 0.635098i | −0.967387 | − | 0.253304i | \(-0.918483\pi\) |
−0.459067 | + | 0.888402i | \(0.651816\pi\) | |||||||
\(282\) | −10.1068 | − | 2.49004i | −0.601849 | − | 0.148280i | ||||
\(283\) | −2.36194 | + | 22.4724i | −0.140403 | + | 1.33584i | 0.666652 | + | 0.745369i | \(0.267727\pi\) |
−0.807055 | + | 0.590476i | \(0.798940\pi\) | |||||||
\(284\) | 2.40662 | − | 0.511543i | 0.142807 | − | 0.0303545i | ||||
\(285\) | −12.0475 | − | 2.36628i | −0.713631 | − | 0.140166i | ||||
\(286\) | 2.45405 | + | 0.521625i | 0.145111 | + | 0.0308443i | ||||
\(287\) | −0.405704 | + | 1.24863i | −0.0239480 | + | 0.0737043i | ||||
\(288\) | −0.741958 | − | 2.90680i | −0.0437203 | − | 0.171285i | ||||
\(289\) | 12.0361 | + | 37.0433i | 0.708006 | + | 2.17902i | ||||
\(290\) | −12.4141 | + | 6.25133i | −0.728980 | + | 0.367090i | ||||
\(291\) | 20.9677 | + | 0.673784i | 1.22915 | + | 0.0394979i | ||||
\(292\) | −0.353038 | + | 3.35893i | −0.0206600 | + | 0.196567i | ||||
\(293\) | −15.2515 | − | 26.4164i | −0.891003 | − | 1.54326i | −0.838675 | − | 0.544632i | \(-0.816669\pi\) |
−0.0523280 | − | 0.998630i | \(-0.516664\pi\) | |||||||
\(294\) | −11.0517 | + | 1.98044i | −0.644546 | + | 0.115502i | ||||
\(295\) | 15.9073 | + | 16.0589i | 0.926160 | + | 0.934985i | ||||
\(296\) | 8.53822 | − | 6.20338i | 0.496274 | − | 0.360564i | ||||
\(297\) | 5.67501 | − | 7.94974i | 0.329298 | − | 0.461291i | ||||
\(298\) | 1.77970 | + | 5.47734i | 0.103095 | + | 0.317294i | ||||
\(299\) | 0.690210 | − | 1.19548i | 0.0399159 | − | 0.0691363i | ||||
\(300\) | −4.79455 | − | 7.21196i | −0.276813 | − | 0.416383i | ||||
\(301\) | 1.86026 | + | 3.22206i | 0.107223 | + | 0.185716i | ||||
\(302\) | 0.214366 | − | 0.238077i | 0.0123354 | − | 0.0136998i | ||||
\(303\) | 1.57877 | + | 1.22641i | 0.0906982 | + | 0.0704555i | ||||
\(304\) | 0.331363 | + | 3.15271i | 0.0190050 | + | 0.180820i | ||||
\(305\) | 0.0602874 | + | 0.159308i | 0.00345205 | + | 0.00912193i | ||||
\(306\) | 9.94910 | + | 20.1137i | 0.568752 | + | 1.14983i | ||||
\(307\) | −21.3008 | −1.21570 | −0.607850 | − | 0.794052i | \(-0.707968\pi\) | ||||
−0.607850 | + | 0.794052i | \(0.707968\pi\) | |||||||
\(308\) | −1.23555 | + | 0.550104i | −0.0704022 | + | 0.0313451i | ||||
\(309\) | −14.8333 | + | 23.8859i | −0.843838 | + | 1.35882i | ||||
\(310\) | 4.83426 | − | 1.27080i | 0.274568 | − | 0.0721766i | ||||
\(311\) | 8.32625 | − | 9.24724i | 0.472138 | − | 0.524363i | −0.459291 | − | 0.888286i | \(-0.651896\pi\) |
0.931429 | + | 0.363923i | \(0.118563\pi\) | |||||||
\(312\) | −1.21957 | + | 1.96387i | −0.0690447 | + | 0.111182i | ||||
\(313\) | 11.3039 | + | 12.5543i | 0.638937 | + | 0.709611i | 0.972444 | − | 0.233136i | \(-0.0748989\pi\) |
−0.333507 | + | 0.942748i | \(0.608232\pi\) | |||||||
\(314\) | 3.51829 | + | 10.8282i | 0.198549 | + | 0.611070i | ||||
\(315\) | 4.70373 | + | 1.08185i | 0.265025 | + | 0.0609555i | ||||
\(316\) | 3.18674 | − | 9.80777i | 0.179268 | − | 0.551730i | ||||
\(317\) | 29.0148 | − | 12.9182i | 1.62964 | − | 0.725560i | 0.630901 | − | 0.775863i | \(-0.282685\pi\) |
0.998734 | + | 0.0503026i | \(0.0160186\pi\) | |||||||
\(318\) | −4.59387 | − | 15.8540i | −0.257611 | − | 0.889051i | ||||
\(319\) | −1.22135 | + | 11.6204i | −0.0683827 | + | 0.650618i | ||||
\(320\) | −1.41543 | + | 1.73106i | −0.0791248 | + | 0.0967692i | ||||
\(321\) | −0.0266289 | + | 0.193378i | −0.00148628 | + | 0.0107933i | ||||
\(322\) | 0.0777853 | + | 0.740077i | 0.00433480 | + | 0.0412429i | ||||
\(323\) | −7.32741 | − | 22.5515i | −0.407708 | − | 1.25480i | ||||
\(324\) | 5.11549 | + | 7.40485i | 0.284194 | + | 0.411380i | ||||
\(325\) | −1.44932 | + | 6.51413i | −0.0803936 | + | 0.361339i | ||||
\(326\) | −9.86626 | + | 17.0889i | −0.546442 | + | 0.946465i | ||||
\(327\) | 4.78890 | + | 2.31922i | 0.264827 | + | 0.128253i | ||||
\(328\) | 1.66697 | + | 0.742183i | 0.0920430 | + | 0.0409802i | ||||
\(329\) | −3.95009 | − | 1.75869i | −0.217776 | − | 0.0969600i | ||||
\(330\) | −7.27939 | + | 0.112805i | −0.400717 | + | 0.00620972i | ||||
\(331\) | −20.7656 | + | 9.24545i | −1.14138 | + | 0.508176i | −0.888298 | − | 0.459268i | \(-0.848112\pi\) |
−0.253084 | + | 0.967444i | \(0.581445\pi\) | |||||||
\(332\) | 3.83483 | 0.210463 | ||||||||
\(333\) | −17.5585 | + | 26.3467i | −0.962199 | + | 1.44379i | ||||
\(334\) | −7.12608 | + | 21.9318i | −0.389922 | + | 1.20006i | ||||
\(335\) | 25.6840 | − | 12.9336i | 1.40327 | − | 0.706639i | ||||
\(336\) | −0.0903908 | − | 1.24292i | −0.00493122 | − | 0.0678071i | ||||
\(337\) | 13.1111 | − | 2.78685i | 0.714207 | − | 0.151809i | 0.163543 | − | 0.986536i | \(-0.447708\pi\) |
0.550664 | + | 0.834727i | \(0.314374\pi\) | |||||||
\(338\) | −10.9735 | + | 2.33248i | −0.596878 | + | 0.126870i | ||||
\(339\) | −2.12469 | − | 29.2156i | −0.115397 | − | 1.58678i | ||||
\(340\) | 7.66387 | − | 14.8665i | 0.415632 | − | 0.806250i | ||||
\(341\) | 1.29849 | − | 3.99634i | 0.0703172 | − | 0.216414i | ||||
\(342\) | −4.21653 | − | 8.52440i | −0.228004 | − | 0.460947i | ||||
\(343\) | −9.70050 | −0.523778 | ||||||||
\(344\) | 4.72393 | − | 2.10323i | 0.254697 | − | 0.113399i | ||||
\(345\) | −1.17865 | + | 3.82837i | −0.0634565 | + | 0.206113i | ||||
\(346\) | −9.50462 | − | 4.23173i | −0.510972 | − | 0.227499i | ||||
\(347\) | −32.4394 | − | 14.4430i | −1.74144 | − | 0.775339i | −0.993793 | − | 0.111243i | \(-0.964517\pi\) |
−0.747647 | − | 0.664096i | \(-0.768817\pi\) | |||||||
\(348\) | −9.68978 | − | 4.69268i | −0.519427 | − | 0.251554i | ||||
\(349\) | 13.0622 | − | 22.6243i | 0.699202 | − | 1.21105i | −0.269542 | − | 0.962989i | \(-0.586872\pi\) |
0.968744 | − | 0.248064i | \(-0.0797944\pi\) | |||||||
\(350\) | −1.43200 | − | 3.30020i | −0.0765437 | − | 0.176403i | ||||
\(351\) | 1.38522 | − | 6.79546i | 0.0739375 | − | 0.362715i | ||||
\(352\) | 0.580877 | + | 1.78776i | 0.0309608 | + | 0.0952877i | ||||
\(353\) | −0.664683 | − | 6.32404i | −0.0353775 | − | 0.336595i | −0.997867 | − | 0.0652764i | \(-0.979207\pi\) |
0.962490 | − | 0.271318i | \(-0.0874596\pi\) | |||||||
\(354\) | −2.38849 | + | 17.3451i | −0.126947 | + | 0.921884i | ||||
\(355\) | 5.12678 | + | 1.99593i | 0.272101 | + | 0.105933i | ||||
\(356\) | 0.539587 | − | 5.13383i | 0.0285981 | − | 0.272092i | ||||
\(357\) | 2.59430 | + | 8.95328i | 0.137305 | + | 0.473858i | ||||
\(358\) | −7.56912 | + | 3.36999i | −0.400040 | + | 0.178109i | ||||
\(359\) | 3.11491 | − | 9.58670i | 0.164398 | − | 0.505967i | −0.834593 | − | 0.550867i | \(-0.814297\pi\) |
0.998991 | + | 0.0449006i | \(0.0142971\pi\) | |||||||
\(360\) | 2.17874 | − | 6.34453i | 0.114830 | − | 0.334386i | ||||
\(361\) | −2.76589 | − | 8.51254i | −0.145573 | − | 0.448028i | ||||
\(362\) | 0.641431 | + | 0.712381i | 0.0337129 | + | 0.0374419i | ||||
\(363\) | 6.82257 | − | 10.9863i | 0.358092 | − | 0.576632i | ||||
\(364\) | −0.642567 | + | 0.713643i | −0.0336796 | + | 0.0374050i | ||||
\(365\) | −4.78051 | + | 5.84654i | −0.250223 | + | 0.306022i | ||||
\(366\) | −0.0696057 | + | 0.112085i | −0.00363835 | + | 0.00585880i | ||||
\(367\) | 7.37642 | − | 3.28419i | 0.385046 | − | 0.171433i | −0.205079 | − | 0.978745i | \(-0.565745\pi\) |
0.590125 | + | 0.807312i | \(0.299078\pi\) | |||||||
\(368\) | 1.03427 | 0.0539150 | ||||||||
\(369\) | −5.46288 | − | 0.351455i | −0.284386 | − | 0.0182960i | ||||
\(370\) | 23.5723 | − | 1.12333i | 1.22547 | − | 0.0583991i | ||||
\(371\) | −0.716721 | − | 6.81915i | −0.0372103 | − | 0.354033i | ||||
\(372\) | 3.05766 | + | 2.37523i | 0.158532 | + | 0.123150i | ||||
\(373\) | −3.18230 | + | 3.53431i | −0.164773 | + | 0.182999i | −0.819877 | − | 0.572540i | \(-0.805958\pi\) |
0.655104 | + | 0.755539i | \(0.272625\pi\) | |||||||
\(374\) | −7.03024 | − | 12.1767i | −0.363525 | − | 0.629644i | ||||
\(375\) | −0.116433 | − | 19.3646i | −0.00601256 | − | 0.999982i | ||||
\(376\) | −3.00481 | + | 5.20449i | −0.154961 | + | 0.268401i | ||||
\(377\) | 2.56369 | + | 7.89023i | 0.132037 | + | 0.406367i | ||||
\(378\) | 1.54910 | + | 3.40258i | 0.0796771 | + | 0.175010i | ||||
\(379\) | −10.0812 | + | 7.32445i | −0.517839 | + | 0.376232i | −0.815789 | − | 0.578350i | \(-0.803697\pi\) |
0.297950 | + | 0.954581i | \(0.403697\pi\) | |||||||
\(380\) | −3.24802 | + | 6.30058i | −0.166620 | + | 0.323213i | ||||
\(381\) | 18.8207 | − | 3.37264i | 0.964213 | − | 0.172785i | ||||
\(382\) | −6.63491 | − | 11.4920i | −0.339471 | − | 0.587982i | ||||
\(383\) | 2.52527 | − | 24.0263i | 0.129035 | − | 1.22769i | −0.717960 | − | 0.696085i | \(-0.754924\pi\) |
0.846995 | − | 0.531601i | \(-0.178410\pi\) | |||||||
\(384\) | −1.73116 | − | 0.0556295i | −0.0883427 | − | 0.00283883i | ||||
\(385\) | −2.98473 | − | 0.487252i | −0.152116 | − | 0.0248327i | ||||
\(386\) | −2.38545 | − | 7.34165i | −0.121416 | − | 0.373680i | ||||
\(387\) | −11.0989 | + | 10.8382i | −0.564190 | + | 0.550935i | ||||
\(388\) | 3.74281 | − | 11.5192i | 0.190012 | − | 0.584798i | ||||
\(389\) | 4.60101 | + | 0.977976i | 0.233281 | + | 0.0495853i | 0.323069 | − | 0.946376i | \(-0.395286\pi\) |
−0.0897878 | + | 0.995961i | \(0.528619\pi\) | |||||||
\(390\) | −4.68916 | + | 2.17542i | −0.237445 | + | 0.110157i | ||||
\(391\) | −7.56722 | + | 1.60846i | −0.382691 | + | 0.0813434i | ||||
\(392\) | −0.677587 | + | 6.44681i | −0.0342233 | + | 0.325613i | ||||
\(393\) | −25.7672 | − | 6.34837i | −1.29978 | − | 0.320233i | ||||
\(394\) | −13.3051 | + | 5.92383i | −0.670303 | + | 0.298438i | ||||
\(395\) | 17.9892 | − | 14.4267i | 0.905133 | − | 0.725884i | ||||
\(396\) | −3.49657 | − | 4.42441i | −0.175709 | − | 0.222335i | ||||
\(397\) | 20.1200 | − | 14.6180i | 1.00979 | − | 0.733657i | 0.0456266 | − | 0.998959i | \(-0.485472\pi\) |
0.964165 | + | 0.265302i | \(0.0854716\pi\) | |||||||
\(398\) | 8.25397 | + | 1.75444i | 0.413734 | + | 0.0879419i | ||||
\(399\) | −1.09949 | − | 3.79449i | −0.0550434 | − | 0.189962i | ||||
\(400\) | −4.76972 | + | 1.49992i | −0.238486 | + | 0.0749962i | ||||
\(401\) | 4.95946 | + | 8.59003i | 0.247663 | + | 0.428966i | 0.962877 | − | 0.269940i | \(-0.0870039\pi\) |
−0.715214 | + | 0.698906i | \(0.753671\pi\) | |||||||
\(402\) | 20.0476 | + | 9.70888i | 0.999882 | + | 0.484235i | ||||
\(403\) | −0.311865 | − | 2.96720i | −0.0155351 | − | 0.147807i | ||||
\(404\) | 0.933777 | − | 0.678429i | 0.0464571 | − | 0.0337531i | ||||
\(405\) | 0.479831 | + | 20.1189i | 0.0238430 | + | 0.999716i | ||||
\(406\) | −3.61820 | − | 2.62878i | −0.179568 | − | 0.130464i | ||||
\(407\) | 9.91931 | − | 17.1808i | 0.491682 | − | 0.851618i | ||||
\(408\) | 12.7525 | − | 2.28523i | 0.631343 | − | 0.113136i | ||||
\(409\) | −13.6221 | + | 2.89547i | −0.673570 | + | 0.143172i | −0.531984 | − | 0.846754i | \(-0.678553\pi\) |
−0.141586 | + | 0.989926i | \(0.545220\pi\) | |||||||
\(410\) | 2.20599 | + | 3.43245i | 0.108946 | + | 0.169517i | ||||
\(411\) | 29.3818 | − | 19.9375i | 1.44930 | − | 0.983445i | ||||
\(412\) | 10.8622 | + | 12.0637i | 0.535144 | + | 0.594338i | ||||
\(413\) | −2.24754 | + | 6.91723i | −0.110594 | + | 0.340375i | ||||
\(414\) | −2.90973 | + | 1.07744i | −0.143005 | + | 0.0529531i | ||||
\(415\) | 7.16932 | + | 4.70429i | 0.351928 | + | 0.230924i | ||||
\(416\) | 0.893077 | + | 0.991862i | 0.0437867 | + | 0.0486300i | ||||
\(417\) | 8.71993 | + | 10.3335i | 0.427017 | + | 0.506032i | ||||
\(418\) | 2.97949 | + | 5.16062i | 0.145731 | + | 0.252414i | ||||
\(419\) | −0.659592 | + | 6.27560i | −0.0322232 | + | 0.306583i | 0.966525 | + | 0.256571i | \(0.0825927\pi\) |
−0.998749 | + | 0.0500122i | \(0.984074\pi\) | |||||||
\(420\) | 1.35574 | − | 2.43457i | 0.0661534 | − | 0.118795i | ||||
\(421\) | −0.0737356 | − | 0.701548i | −0.00359365 | − | 0.0341913i | 0.992578 | − | 0.121609i | \(-0.0388053\pi\) |
−0.996172 | + | 0.0874173i | \(0.972139\pi\) | |||||||
\(422\) | 9.46457 | − | 6.87642i | 0.460728 | − | 0.334739i | ||||
\(423\) | 3.03180 | − | 17.7721i | 0.147411 | − | 0.864111i | ||||
\(424\) | −9.52985 | −0.462811 | ||||||||
\(425\) | 32.5650 | − | 18.3919i | 1.57963 | − | 0.892138i | ||||
\(426\) | 1.18603 | + | 4.09315i | 0.0574634 | + | 0.198314i | ||||
\(427\) | −0.0366738 | + | 0.0407303i | −0.00177477 | + | 0.00197108i | ||||
\(428\) | 0.102957 | + | 0.0458394i | 0.00497661 | + | 0.00221573i | ||||
\(429\) | −0.592798 | + | 4.30488i | −0.0286205 | + | 0.207842i | ||||
\(430\) | 11.4116 | + | 1.86293i | 0.550317 | + | 0.0898384i | ||||
\(431\) | 22.6776 | + | 16.4762i | 1.09234 | + | 0.793632i | 0.979793 | − | 0.200014i | \(-0.0640988\pi\) |
0.112548 | + | 0.993646i | \(0.464099\pi\) | |||||||
\(432\) | 4.92825 | − | 1.64691i | 0.237111 | − | 0.0792369i | ||||
\(433\) | 3.35151 | + | 2.43502i | 0.161063 | + | 0.117019i | 0.665398 | − | 0.746489i | \(-0.268262\pi\) |
−0.504334 | + | 0.863509i | \(0.668262\pi\) | |||||||
\(434\) | 1.07621 | + | 1.19525i | 0.0516595 | + | 0.0573737i | ||||
\(435\) | −12.3587 | − | 20.6598i | −0.592553 | − | 0.990562i | ||||
\(436\) | 2.05560 | − | 2.28297i | 0.0984452 | − | 0.109335i | ||||
\(437\) | 3.20706 | − | 0.681682i | 0.153415 | − | 0.0326093i | ||||
\(438\) | −5.84687 | − | 0.187885i | −0.279374 | − | 0.00897750i | ||||
\(439\) | 14.8520 | + | 3.15689i | 0.708848 | + | 0.150670i | 0.548207 | − | 0.836343i | \(-0.315311\pi\) |
0.160641 | + | 0.987013i | \(0.448644\pi\) | |||||||
\(440\) | −1.10712 | + | 4.05484i | −0.0527800 | + | 0.193307i | ||||
\(441\) | −4.80961 | − | 18.8428i | −0.229029 | − | 0.897278i | ||||
\(442\) | −8.07670 | − | 5.86807i | −0.384169 | − | 0.279115i | ||||
\(443\) | −1.82132 | + | 3.15463i | −0.0865337 | + | 0.149881i | −0.906044 | − | 0.423184i | \(-0.860912\pi\) |
0.819510 | + | 0.573065i | \(0.194246\pi\) | |||||||
\(444\) | 11.7889 | + | 13.9704i | 0.559478 | + | 0.663003i | ||||
\(445\) | 7.30659 | − | 8.93592i | 0.346365 | − | 0.423603i | ||||
\(446\) | −10.0775 | − | 4.48681i | −0.477185 | − | 0.212457i | ||||
\(447\) | −9.23847 | + | 3.76253i | −0.436964 | + | 0.177961i | ||||
\(448\) | −0.703775 | − | 0.149592i | −0.0332503 | − | 0.00706756i | ||||
\(449\) | −27.8605 | −1.31482 | −0.657408 | − | 0.753534i | \(-0.728347\pi\) | ||||
−0.657408 | + | 0.753534i | \(0.728347\pi\) | |||||||
\(450\) | 11.8562 | − | 9.18856i | 0.558908 | − | 0.433153i | ||||
\(451\) | 3.43004 | 0.161514 | ||||||||
\(452\) | −16.5426 | − | 3.51624i | −0.778100 | − | 0.165390i | ||||
\(453\) | 0.438206 | + | 0.340404i | 0.0205887 | + | 0.0159936i | ||||
\(454\) | −2.58277 | − | 1.14992i | −0.121215 | − | 0.0539685i | ||||
\(455\) | −2.07674 | + | 0.545921i | −0.0973592 | + | 0.0255932i | ||||
\(456\) | −5.40464 | + | 0.968503i | −0.253096 | + | 0.0453543i | ||||
\(457\) | 13.8941 | − | 24.0653i | 0.649938 | − | 1.12573i | −0.333199 | − | 0.942857i | \(-0.608128\pi\) |
0.983137 | − | 0.182870i | \(-0.0585387\pi\) | |||||||
\(458\) | 3.13839 | + | 2.28017i | 0.146647 | + | 0.106545i | ||||
\(459\) | −33.4963 | + | 19.7139i | −1.56347 | + | 0.920164i | ||||
\(460\) | 1.93359 | + | 1.26877i | 0.0901543 | + | 0.0591565i | ||||
\(461\) | −34.8094 | − | 7.39897i | −1.62124 | − | 0.344604i | −0.694260 | − | 0.719724i | \(-0.744268\pi\) |
−0.926976 | + | 0.375120i | \(0.877602\pi\) | |||||||
\(462\) | −1.10552 | − | 2.06529i | −0.0514335 | − | 0.0960862i | ||||
\(463\) | 5.10570 | − | 1.08525i | 0.237282 | − | 0.0504359i | −0.0877356 | − | 0.996144i | \(-0.527963\pi\) |
0.325018 | + | 0.945708i | \(0.394630\pi\) | |||||||
\(464\) | −4.15926 | + | 4.61933i | −0.193089 | + | 0.214447i | ||||
\(465\) | 2.80262 | + | 8.19148i | 0.129969 | + | 0.379871i | ||||
\(466\) | 5.48640 | + | 6.09326i | 0.254152 | + | 0.282265i | ||||
\(467\) | 3.33870 | + | 2.42571i | 0.154496 | + | 0.112248i | 0.662348 | − | 0.749196i | \(-0.269560\pi\) |
−0.507851 | + | 0.861445i | \(0.669560\pi\) | |||||||
\(468\) | −3.54577 | − | 1.86008i | −0.163903 | − | 0.0859821i | ||||
\(469\) | 7.48584 | + | 5.43878i | 0.345664 | + | 0.251140i | ||||
\(470\) | −12.0021 | + | 6.04386i | −0.553615 | + | 0.278782i | ||||
\(471\) | −18.2636 | + | 7.43816i | −0.841541 | + | 0.342732i | ||||
\(472\) | 9.23478 | + | 4.11159i | 0.425065 | + | 0.189251i | ||||
\(473\) | 6.50408 | − | 7.22352i | 0.299058 | − | 0.332138i | ||||
\(474\) | 17.3432 | + | 4.27290i | 0.796598 | + | 0.196261i | ||||
\(475\) | −13.8014 | + | 7.79467i | −0.633250 | + | 0.357644i | ||||
\(476\) | 5.38181 | 0.246675 | ||||||||
\(477\) | 26.8106 | − | 9.92760i | 1.22757 | − | 0.454554i | ||||
\(478\) | 23.0166 | − | 16.7226i | 1.05276 | − | 0.764872i | ||||
\(479\) | −1.19485 | − | 11.3682i | −0.0545941 | − | 0.519428i | −0.987309 | − | 0.158813i | \(-0.949233\pi\) |
0.932715 | − | 0.360615i | \(-0.117433\pi\) | |||||||
\(480\) | −3.16821 | − | 2.22766i | −0.144608 | − | 0.101678i | ||||
\(481\) | 1.47239 | − | 14.0088i | 0.0671351 | − | 0.638748i | ||||
\(482\) | −2.36403 | − | 4.09463i | −0.107679 | − | 0.186505i | ||||
\(483\) | −1.26870 | + | 0.227349i | −0.0577280 | + | 0.0103448i | ||||
\(484\) | −4.99607 | − | 5.54870i | −0.227094 | − | 0.252214i | ||||
\(485\) | 21.1282 | − | 16.9440i | 0.959381 | − | 0.769389i | ||||
\(486\) | −12.1491 | + | 9.76723i | −0.551096 | + | 0.443050i | ||||
\(487\) | 4.35689 | − | 13.4091i | 0.197430 | − | 0.607626i | −0.802510 | − | 0.596639i | \(-0.796503\pi\) |
0.999940 | − | 0.0109872i | \(-0.00349739\pi\) | |||||||
\(488\) | 0.0509713 | + | 0.0566094i | 0.00230736 | + | 0.00256259i | ||||
\(489\) | −30.7603 | − | 14.8970i | −1.39103 | − | 0.673665i | ||||
\(490\) | −9.17525 | + | 11.2213i | −0.414496 | + | 0.506926i | ||||
\(491\) | 17.4278 | − | 3.70439i | 0.786505 | − | 0.167177i | 0.202884 | − | 0.979203i | \(-0.434969\pi\) |
0.583621 | + | 0.812026i | \(0.301635\pi\) | |||||||
\(492\) | −1.07269 | + | 2.97291i | −0.0483606 | + | 0.134029i | ||||
\(493\) | 23.2474 | − | 40.2656i | 1.04701 | − | 1.81347i | ||||
\(494\) | 3.42299 | + | 2.48695i | 0.154007 | + | 0.111893i | ||||
\(495\) | −1.10938 | − | 12.5609i | −0.0498631 | − | 0.564570i | ||||
\(496\) | 1.80847 | − | 1.31393i | 0.0812029 | − | 0.0589974i | ||||
\(497\) | 0.185041 | + | 1.76055i | 0.00830022 | + | 0.0789713i | ||||
\(498\) | 0.481771 | + | 6.62462i | 0.0215887 | + | 0.296856i | ||||
\(499\) | 7.72808 | + | 13.3854i | 0.345956 | + | 0.599214i | 0.985527 | − | 0.169518i | \(-0.0542212\pi\) |
−0.639571 | + | 0.768732i | \(0.720888\pi\) | |||||||
\(500\) | −10.7571 | − | 3.04700i | −0.481073 | − | 0.136266i | ||||
\(501\) | −38.7822 | − | 9.55492i | −1.73266 | − | 0.426882i | ||||
\(502\) | 3.81057 | + | 0.809962i | 0.170074 | + | 0.0361504i | ||||
\(503\) | 32.1068 | − | 23.3269i | 1.43157 | − | 1.04010i | 0.441849 | − | 0.897089i | \(-0.354323\pi\) |
0.989722 | − | 0.143008i | \(-0.0456774\pi\) | |||||||
\(504\) | 2.13578 | − | 0.312298i | 0.0951353 | − | 0.0139109i | ||||
\(505\) | 2.57797 | − | 0.122852i | 0.114718 | − | 0.00546684i | ||||
\(506\) | 1.77609 | − | 0.790766i | 0.0789569 | − | 0.0351539i | ||||
\(507\) | −5.40794 | − | 18.6635i | −0.240175 | − | 0.828876i | ||||
\(508\) | 1.15391 | − | 10.9787i | 0.0511966 | − | 0.487103i | ||||
\(509\) | 22.5833 | − | 4.80024i | 1.00099 | − | 0.212767i | 0.321861 | − | 0.946787i | \(-0.395692\pi\) |
0.679128 | + | 0.734020i | \(0.262358\pi\) | |||||||
\(510\) | 26.6445 | + | 11.3716i | 1.17984 | + | 0.503541i | ||||
\(511\) | −2.37696 | − | 0.505238i | −0.105150 | − | 0.0223504i | ||||
\(512\) | −0.309017 | + | 0.951057i | −0.0136568 | + | 0.0420312i | ||||
\(513\) | 14.1961 | − | 8.35493i | 0.626772 | − | 0.368879i | ||||
\(514\) | 8.59863 | + | 26.4638i | 0.379269 | + | 1.16727i | ||||
\(515\) | 5.50835 | + | 35.8785i | 0.242727 | + | 1.58100i | ||||
\(516\) | 4.22678 | + | 7.89631i | 0.186073 | + | 0.347616i | ||||
\(517\) | −1.18082 | + | 11.2348i | −0.0519324 | + | 0.494104i | ||||
\(518\) | 3.79673 | + | 6.57612i | 0.166819 | + | 0.288938i | ||||
\(519\) | 6.11620 | − | 16.9508i | 0.268471 | − | 0.744056i | ||||
\(520\) | 0.452888 | + | 2.94988i | 0.0198605 | + | 0.129361i | ||||
\(521\) | −29.2107 | + | 21.2228i | −1.27975 | + | 0.929790i | −0.999545 | − | 0.0301516i | \(-0.990401\pi\) |
−0.280201 | + | 0.959941i | \(0.590401\pi\) | |||||||
\(522\) | 6.88922 | − | 17.3285i | 0.301533 | − | 0.758449i | ||||
\(523\) | −12.3932 | − | 38.1422i | −0.541915 | − | 1.66784i | −0.728214 | − | 0.685350i | \(-0.759649\pi\) |
0.186299 | − | 0.982493i | \(-0.440351\pi\) | |||||||
\(524\) | −7.66078 | + | 13.2689i | −0.334663 | + | 0.579653i | ||||
\(525\) | 5.52115 | − | 2.88837i | 0.240963 | − | 0.126059i | ||||
\(526\) | −8.82996 | − | 15.2939i | −0.385005 | − | 0.666848i | ||||
\(527\) | −11.1883 | + | 12.4259i | −0.487370 | + | 0.541279i | ||||
\(528\) | −3.01535 | + | 1.22805i | −0.131226 | + | 0.0534442i | ||||
\(529\) | 2.29234 | + | 21.8102i | 0.0996669 | + | 0.948268i | ||||
\(530\) | −17.8163 | − | 11.6905i | −0.773892 | − | 0.507804i | ||||
\(531\) | −30.2636 | − | 1.94701i | −1.31333 | − | 0.0844930i | ||||
\(532\) | −2.28086 | −0.0988880 | ||||||||
\(533\) | 2.22487 | − | 0.990578i | 0.0963700 | − | 0.0429067i | ||||
\(534\) | 8.93642 | + | 0.287166i | 0.386717 | + | 0.0124269i | ||||
\(535\) | 0.136249 | + | 0.211998i | 0.00589054 | + | 0.00916548i | ||||
\(536\) | 8.60527 | − | 9.55712i | 0.371691 | − | 0.412805i | ||||
\(537\) | −6.77253 | − | 12.6522i | −0.292256 | − | 0.545982i | ||||
\(538\) | −7.66464 | − | 8.51245i | −0.330446 | − | 0.366998i | ||||
\(539\) | 3.76543 | + | 11.5888i | 0.162189 | + | 0.499165i | ||||
\(540\) | 11.2338 | + | 2.96669i | 0.483427 | + | 0.127666i | ||||
\(541\) | 7.77245 | − | 23.9211i | 0.334164 | − | 1.02845i | −0.632969 | − | 0.774177i | \(-0.718164\pi\) |
0.967132 | − | 0.254273i | \(-0.0818362\pi\) | |||||||
\(542\) | −21.3565 | + | 9.50853i | −0.917340 | + | 0.408426i | ||||
\(543\) | −1.15005 | + | 1.19756i | −0.0493532 | + | 0.0513923i | ||||
\(544\) | 0.781867 | − | 7.43897i | 0.0335223 | − | 0.318943i | ||||
\(545\) | 6.64358 | − | 1.74642i | 0.284580 | − | 0.0748086i | ||||
\(546\) | −1.31354 | − | 1.02037i | −0.0562141 | − | 0.0436679i | ||||
\(547\) | 4.44152 | + | 42.2582i | 0.189906 | + | 1.80683i | 0.510782 | + | 0.859710i | \(0.329356\pi\) |
−0.320877 | + | 0.947121i | \(0.603977\pi\) | |||||||
\(548\) | −6.33497 | − | 19.4970i | −0.270616 | − | 0.832871i | ||||
\(549\) | −0.202371 | − | 0.106162i | −0.00863698 | − | 0.00453087i | ||||
\(550\) | −7.04398 | + | 6.22250i | −0.300356 | + | 0.265328i | ||||
\(551\) | −9.85247 | + | 17.0650i | −0.419729 | + | 0.726993i | ||||
\(552\) | 0.129936 | + | 1.78669i | 0.00553042 | + | 0.0760464i | ||||
\(553\) | 6.77835 | + | 3.01791i | 0.288245 | + | 0.128335i | ||||
\(554\) | −12.3298 | − | 5.48957i | −0.523842 | − | 0.233229i | ||||
\(555\) | 4.90194 | + | 40.5798i | 0.208076 | + | 1.72252i | ||||
\(556\) | 7.13146 | − | 3.17513i | 0.302441 | − | 0.134656i | ||||
\(557\) | −10.1546 | −0.430264 | −0.215132 | − | 0.976585i | \(-0.569018\pi\) | ||||
−0.215132 | + | 0.976585i | \(0.569018\pi\) | |||||||
\(558\) | −3.71905 | + | 5.58047i | −0.157440 | + | 0.236240i | ||||
\(559\) | 2.13272 | − | 6.56383i | 0.0902044 | − | 0.277621i | ||||
\(560\) | −1.13222 | − | 1.14301i | −0.0478450 | − | 0.0483009i | ||||
\(561\) | 20.1520 | − | 13.6744i | 0.850817 | − | 0.577335i | ||||
\(562\) | −25.6027 | + | 5.44201i | −1.07998 | + | 0.229557i | ||||
\(563\) | −28.0175 | + | 5.95530i | −1.18080 | + | 0.250986i | −0.756165 | − | 0.654381i | \(-0.772929\pi\) |
−0.424631 | + | 0.905367i | \(0.639596\pi\) | |||||||
\(564\) | −9.36820 | − | 4.53694i | −0.394472 | − | 0.191040i | ||||
\(565\) | −26.6134 | − | 26.8670i | −1.11964 | − | 1.13030i | ||||
\(566\) | −6.98260 | + | 21.4902i | −0.293501 | + | 0.903302i | ||||
\(567\) | −5.68331 | + | 3.10352i | −0.238677 | + | 0.130336i | ||||
\(568\) | 2.46039 | 0.103236 | ||||||||
\(569\) | 6.43720 | − | 2.86602i | 0.269861 | − | 0.120150i | −0.267345 | − | 0.963601i | \(-0.586146\pi\) |
0.537206 | + | 0.843451i | \(0.319480\pi\) | |||||||
\(570\) | −11.2922 | − | 4.81938i | −0.472979 | − | 0.201862i | ||||
\(571\) | −40.2751 | − | 17.9316i | −1.68546 | − | 0.750415i | −0.999746 | − | 0.0225446i | \(-0.992823\pi\) |
−0.685714 | − | 0.727871i | \(-0.740510\pi\) | |||||||
\(572\) | 2.29197 | + | 1.02045i | 0.0958322 | + | 0.0426673i | ||||
\(573\) | 19.0188 | − | 12.9055i | 0.794520 | − | 0.539134i | ||||
\(574\) | −0.656443 | + | 1.13699i | −0.0273994 | + | 0.0474572i | ||||
\(575\) | 2.05848 | + | 4.74399i | 0.0858446 | + | 0.197838i | ||||
\(576\) | −0.121387 | − | 2.99754i | −0.00505777 | − | 0.124898i | ||||
\(577\) | −8.55866 | − | 26.3408i | −0.356302 | − | 1.09658i | −0.955251 | − | 0.295796i | \(-0.904415\pi\) |
0.598949 | − | 0.800787i | \(-0.295585\pi\) | |||||||
\(578\) | 4.07134 | + | 38.7363i | 0.169346 | + | 1.61122i | ||||
\(579\) | 12.3829 | − | 5.04317i | 0.514617 | − | 0.209587i | ||||
\(580\) | −13.4425 | + | 3.53369i | −0.558170 | + | 0.146728i | ||||
\(581\) | −0.288410 | + | 2.74404i | −0.0119653 | + | 0.113842i | ||||
\(582\) | 20.3695 | + | 5.01850i | 0.844341 | + | 0.208023i | ||||
\(583\) | −16.3651 | + | 7.28620i | −0.677772 | + | 0.301764i | ||||
\(584\) | −1.04369 | + | 3.21213i | −0.0431880 | + | 0.132919i | ||||
\(585\) | −4.34712 | − | 7.82716i | −0.179731 | − | 0.323613i | ||||
\(586\) | −9.42595 | − | 29.0101i | −0.389383 | − | 1.19840i | ||||
\(587\) | 28.0076 | + | 31.1056i | 1.15600 | + | 1.28386i | 0.952415 | + | 0.304806i | \(0.0985915\pi\) |
0.203581 | + | 0.979058i | \(0.434742\pi\) | |||||||
\(588\) | −11.2219 | − | 0.360609i | −0.462784 | − | 0.0148713i | ||||
\(589\) | 4.74171 | − | 5.26621i | 0.195379 | − | 0.216990i | ||||
\(590\) | 12.2209 | + | 19.0153i | 0.503126 | + | 0.782847i | ||||
\(591\) | −11.9049 | − | 22.2403i | −0.489701 | − | 0.914842i | ||||
\(592\) | 9.64140 | − | 4.29263i | 0.396259 | − | 0.176426i | ||||
\(593\) | 27.4194 | 1.12598 | 0.562990 | − | 0.826464i | \(-0.309651\pi\) | ||||
0.562990 | + | 0.826464i | \(0.309651\pi\) | |||||||
\(594\) | 7.20384 | − | 6.59612i | 0.295577 | − | 0.270642i | ||||
\(595\) | 10.0614 | + | 6.60201i | 0.412479 | + | 0.270656i | ||||
\(596\) | 0.602002 | + | 5.72767i | 0.0246590 | + | 0.234615i | ||||
\(597\) | −1.99382 | + | 14.4791i | −0.0816015 | + | 0.592588i | ||||
\(598\) | 0.923681 | − | 1.02585i | 0.0377721 | − | 0.0419502i | ||||
\(599\) | 18.2288 | + | 31.5733i | 0.744810 | + | 1.29005i | 0.950283 | + | 0.311387i | \(0.100793\pi\) |
−0.205473 | + | 0.978663i | \(0.565873\pi\) | |||||||
\(600\) | −3.19032 | − | 8.05120i | −0.130244 | − | 0.328689i | ||||
\(601\) | −6.56748 | + | 11.3752i | −0.267893 | + | 0.464004i | −0.968318 | − | 0.249722i | \(-0.919661\pi\) |
0.700425 | + | 0.713726i | \(0.252994\pi\) | |||||||
\(602\) | 1.14970 | + | 3.53842i | 0.0468584 | + | 0.144215i | ||||
\(603\) | −14.2534 | + | 35.8517i | −0.580443 | + | 1.45999i | ||||
\(604\) | 0.259180 | − | 0.188305i | 0.0105459 | − | 0.00766204i | ||||
\(605\) | −2.53356 | − | 16.5023i | −0.103004 | − | 0.670913i | ||||
\(606\) | 1.28929 | + | 1.52786i | 0.0523738 | + | 0.0620650i | ||||
\(607\) | 14.1686 | + | 24.5407i | 0.575085 | + | 0.996077i | 0.996032 | + | 0.0889920i | \(0.0283645\pi\) |
−0.420947 | + | 0.907085i | \(0.638302\pi\) | |||||||
\(608\) | −0.331363 | + | 3.15271i | −0.0134386 | + | 0.127859i | ||||
\(609\) | 4.08663 | − | 6.58065i | 0.165598 | − | 0.266662i | ||||
\(610\) | 0.0258481 | + | 0.168361i | 0.00104656 | + | 0.00681673i | ||||
\(611\) | 2.47861 | + | 7.62837i | 0.100274 | + | 0.308611i | ||||
\(612\) | 5.54981 | + | 21.7427i | 0.224338 | + | 0.878898i | ||||
\(613\) | −3.52020 | + | 10.8341i | −0.142180 | + | 0.437584i | −0.996638 | − | 0.0819367i | \(-0.973889\pi\) |
0.854458 | + | 0.519521i | \(0.173889\pi\) | |||||||
\(614\) | −20.8353 | − | 4.42868i | −0.840845 | − | 0.178727i | ||||
\(615\) | −5.65238 | + | 4.24205i | −0.227926 | + | 0.171056i | ||||
\(616\) | −1.32293 | + | 0.281197i | −0.0533022 | + | 0.0113297i | ||||
\(617\) | 0.174388 | − | 1.65919i | 0.00702061 | − | 0.0667966i | −0.990451 | − | 0.137868i | \(-0.955975\pi\) |
0.997471 | + | 0.0710712i | \(0.0226417\pi\) | |||||||
\(618\) | −19.4753 | + | 20.2800i | −0.783413 | + | 0.815780i | ||||
\(619\) | −24.8400 | + | 11.0595i | −0.998403 | + | 0.444518i | −0.839842 | − | 0.542831i | \(-0.817352\pi\) |
−0.158561 | + | 0.987349i | \(0.550686\pi\) | |||||||
\(620\) | 4.99283 | − | 0.237931i | 0.200517 | − | 0.00955555i | ||||
\(621\) | −2.22681 | − | 4.89117i | −0.0893588 | − | 0.196276i | ||||
\(622\) | 10.0669 | − | 7.31404i | 0.403646 | − | 0.293266i | ||||
\(623\) | 3.63296 | + | 0.772210i | 0.145552 | + | 0.0309380i | ||||
\(624\) | −1.60123 | + | 1.66739i | −0.0641006 | + | 0.0667489i | ||||
\(625\) | −16.3729 | − | 18.8925i | −0.654917 | − | 0.755701i | ||||
\(626\) | 8.44674 | + | 14.6302i | 0.337600 | + | 0.584740i | ||||
\(627\) | −8.54060 | + | 5.79536i | −0.341079 | + | 0.231444i | ||||
\(628\) | 1.19010 | + | 11.3231i | 0.0474903 | + | 0.451840i | ||||
\(629\) | −63.8655 | + | 46.4010i | −2.54648 | + | 1.85013i | ||||
\(630\) | 4.37601 | + | 2.03617i | 0.174344 | + | 0.0811231i | ||||
\(631\) | 19.0417 | + | 13.8346i | 0.758036 | + | 0.550746i | 0.898307 | − | 0.439367i | \(-0.144797\pi\) |
−0.140271 | + | 0.990113i | \(0.544797\pi\) | |||||||
\(632\) | 5.15625 | − | 8.93089i | 0.205105 | − | 0.355252i | ||||
\(633\) | 13.0680 | + | 15.4861i | 0.519405 | + | 0.615516i | ||||
\(634\) | 31.0666 | − | 6.60342i | 1.23381 | − | 0.262255i | ||||
\(635\) | 15.6252 | − | 19.1096i | 0.620067 | − | 0.758339i | ||||
\(636\) | −1.19724 | − | 16.4627i | −0.0474736 | − | 0.652789i | ||||
\(637\) | 5.78921 | + | 6.42957i | 0.229377 | + | 0.254749i | ||||
\(638\) | −3.61068 | + | 11.1125i | −0.142948 | + | 0.439950i | ||||
\(639\) | −6.92187 | + | 2.56308i | −0.273825 | + | 0.101394i | ||||
\(640\) | −1.74440 | + | 1.39895i | −0.0689536 | + | 0.0552983i | ||||
\(641\) | 10.0023 | + | 11.1087i | 0.395068 | + | 0.438768i | 0.907559 | − | 0.419925i | \(-0.137944\pi\) |
−0.512491 | + | 0.858693i | \(0.671277\pi\) | |||||||
\(642\) | −0.0662525 | + | 0.183616i | −0.00261478 | + | 0.00724674i | ||||
\(643\) | 6.32557 | + | 10.9562i | 0.249456 | + | 0.432071i | 0.963375 | − | 0.268158i | \(-0.0864148\pi\) |
−0.713919 | + | 0.700229i | \(0.753081\pi\) | |||||||
\(644\) | −0.0777853 | + | 0.740077i | −0.00306517 | + | 0.0291631i | ||||
\(645\) | −1.78454 | + | 19.9475i | −0.0702663 | + | 0.785431i | ||||
\(646\) | −2.47858 | − | 23.5821i | −0.0975184 | − | 0.927826i | ||||
\(647\) | −32.7616 | + | 23.8027i | −1.28799 | + | 0.935781i | −0.999763 | − | 0.0217810i | \(-0.993066\pi\) |
−0.288229 | + | 0.957562i | \(0.593066\pi\) | |||||||
\(648\) | 3.46415 | + | 8.30660i | 0.136085 | + | 0.326314i | ||||
\(649\) | 19.0019 | 0.745891 | ||||||||
\(650\) | −2.77201 | + | 6.07045i | −0.108727 | + | 0.238103i | ||||
\(651\) | −1.92957 | + | 2.00929i | −0.0756259 | + | 0.0787504i | ||||
\(652\) | −13.2036 | + | 14.6641i | −0.517094 | + | 0.574292i | ||||
\(653\) | 25.8587 | + | 11.5130i | 1.01193 | + | 0.450540i | 0.844621 | − | 0.535365i | \(-0.179826\pi\) |
0.167308 | + | 0.985905i | \(0.446493\pi\) | |||||||
\(654\) | 4.20205 | + | 3.26421i | 0.164313 | + | 0.127641i | ||||
\(655\) | −30.5993 | + | 15.4088i | −1.19562 | + | 0.602073i | ||||
\(656\) | 1.47623 | + | 1.07255i | 0.0576373 | + | 0.0418759i | ||||
\(657\) | −0.409975 | − | 10.1240i | −0.0159947 | − | 0.394975i | ||||
\(658\) | −3.49812 | − | 2.54153i | −0.136371 | − | 0.0990793i | ||||
\(659\) | −4.35331 | − | 4.83484i | −0.169581 | − | 0.188339i | 0.652364 | − | 0.757906i | \(-0.273777\pi\) |
−0.821945 | + | 0.569567i | \(0.807111\pi\) | |||||||
\(660\) | −7.14378 | − | 1.40313i | −0.278071 | − | 0.0546168i | ||||
\(661\) | 5.46763 | − | 6.07242i | 0.212666 | − | 0.236190i | −0.627368 | − | 0.778723i | \(-0.715868\pi\) |
0.840035 | + | 0.542533i | \(0.182535\pi\) | |||||||
\(662\) | −22.2341 | + | 4.72600i | −0.864152 | + | 0.183681i | ||||
\(663\) | 9.12234 | − | 14.6896i | 0.354282 | − | 0.570497i | ||||
\(664\) | 3.75103 | + | 0.797305i | 0.145568 | + | 0.0309415i | ||||
\(665\) | −4.26414 | − | 2.79800i | −0.165356 | − | 0.108502i | ||||
\(666\) | −22.6526 | + | 22.1203i | −0.877769 | + | 0.857146i | ||||
\(667\) | 5.20111 | + | 3.77883i | 0.201388 | + | 0.146317i | ||||
\(668\) | −11.5302 | + | 19.9710i | −0.446118 | + | 0.772700i | ||||
\(669\) | 6.48487 | − | 17.9725i | 0.250719 | − | 0.694858i | ||||
\(670\) | 27.8118 | − | 7.31099i | 1.07446 | − | 0.282448i | ||||
\(671\) | 0.130812 | + | 0.0582412i | 0.00504993 | + | 0.00224838i | ||||
\(672\) | 0.170003 | − | 1.23456i | 0.00655801 | − | 0.0476241i | ||||
\(673\) | 17.6525 | + | 3.75215i | 0.680453 | + | 0.144635i | 0.535156 | − | 0.844753i | \(-0.320253\pi\) |
0.145297 | + | 0.989388i | \(0.453586\pi\) | |||||||
\(674\) | 13.4040 | 0.516303 | ||||||||
\(675\) | 17.3626 | + | 19.3271i | 0.668288 | + | 0.743902i | ||||
\(676\) | −11.2186 | −0.431486 | ||||||||
\(677\) | 11.6319 | + | 2.47244i | 0.447051 | + | 0.0950237i | 0.425936 | − | 0.904753i | \(-0.359945\pi\) |
0.0211155 | + | 0.999777i | \(0.493278\pi\) | |||||||
\(678\) | 3.99601 | − | 29.0189i | 0.153466 | − | 1.11447i | ||||
\(679\) | 7.96113 | + | 3.54453i | 0.305520 | + | 0.136026i | ||||
\(680\) | 10.5873 | − | 12.9482i | 0.406005 | − | 0.496542i | ||||
\(681\) | 1.66200 | − | 4.60617i | 0.0636881 | − | 0.176509i | ||||
\(682\) | 2.10100 | − | 3.63904i | 0.0804515 | − | 0.139346i | ||||
\(683\) | −13.7406 | − | 9.98316i | −0.525771 | − | 0.381995i | 0.293003 | − | 0.956112i | \(-0.405346\pi\) |
−0.818773 | + | 0.574117i | \(0.805346\pi\) | |||||||
\(684\) | −2.35206 | − | 9.21479i | −0.0899334 | − | 0.352336i | ||||
\(685\) | 12.0741 | − | 44.2215i | 0.461329 | − | 1.68962i | ||||
\(686\) | −9.48852 | − | 2.01685i | −0.362274 | − | 0.0770036i | ||||
\(687\) | −3.54469 | + | 5.70799i | −0.135239 | + | 0.217773i | ||||
\(688\) | 5.05799 | − | 1.07511i | 0.192834 | − | 0.0409881i | ||||
\(689\) | −8.51089 | + | 9.45230i | −0.324239 | + | 0.360104i | ||||
\(690\) | −1.94886 | + | 3.49966i | −0.0741918 | + | 0.133230i | ||||
\(691\) | 34.1926 | + | 37.9747i | 1.30075 | + | 1.44463i | 0.825097 | + | 0.564991i | \(0.191121\pi\) |
0.475650 | + | 0.879634i | \(0.342213\pi\) | |||||||
\(692\) | −8.41710 | − | 6.11538i | −0.319970 | − | 0.232472i | ||||
\(693\) | 3.42889 | − | 2.16924i | 0.130253 | − | 0.0824026i | ||||
\(694\) | −28.7277 | − | 20.8719i | −1.09049 | − | 0.792286i | ||||
\(695\) | 17.2275 | + | 2.81236i | 0.653476 | + | 0.106679i | ||||
\(696\) | −8.50237 | − | 6.60475i | −0.322281 | − | 0.250352i | ||||
\(697\) | −12.4688 | − | 5.55149i | −0.472291 | − | 0.210278i | ||||
\(698\) | 17.4806 | − | 19.4142i | 0.661650 | − | 0.734837i | ||||
\(699\) | −9.83678 | + | 10.2432i | −0.372061 | + | 0.387433i | ||||
\(700\) | −0.714559 | − | 3.52581i | −0.0270078 | − | 0.133263i | ||||
\(701\) | 4.13453 | 0.156159 | 0.0780795 | − | 0.996947i | \(-0.475121\pi\) | ||||
0.0780795 | + | 0.996947i | \(0.475121\pi\) | |||||||
\(702\) | 2.76780 | − | 6.35896i | 0.104464 | − | 0.240004i | ||||
\(703\) | 27.0668 | − | 19.6652i | 1.02084 | − | 0.741687i | ||||
\(704\) | 0.196488 | + | 1.86946i | 0.00740542 | + | 0.0704579i | ||||
\(705\) | −11.9485 | − | 19.9742i | −0.450007 | − | 0.752271i | ||||
\(706\) | 0.664683 | − | 6.32404i | 0.0250157 | − | 0.238008i | ||||
\(707\) | 0.415226 | + | 0.719193i | 0.0156162 | + | 0.0270480i | ||||
\(708\) | −5.94255 | + | 16.4695i | −0.223335 | + | 0.618962i | ||||
\(709\) | 13.0310 | + | 14.4724i | 0.489390 | + | 0.543523i | 0.936367 | − | 0.351023i | \(-0.114166\pi\) |
−0.446977 | + | 0.894546i | \(0.647499\pi\) | |||||||
\(710\) | 4.59977 | + | 3.01823i | 0.172626 | + | 0.113272i | ||||
\(711\) | −5.20256 | + | 30.4969i | −0.195111 | + | 1.14372i | ||||
\(712\) | 1.59518 | − | 4.90946i | 0.0597819 | − | 0.183990i | ||||
\(713\) | −1.54703 | − | 1.71815i | −0.0579367 | − | 0.0643453i | ||||
\(714\) | 0.676119 | + | 9.29701i | 0.0253031 | + | 0.347932i | ||||
\(715\) | 3.03309 | + | 4.71939i | 0.113431 | + | 0.176495i | ||||
\(716\) | −8.10437 | + | 1.72264i | −0.302875 | + | 0.0643780i | ||||
\(717\) | 31.7796 | + | 37.6601i | 1.18683 | + | 1.40644i | ||||
\(718\) | 5.04002 | − | 8.72958i | 0.188092 | − | 0.325785i | ||||
\(719\) | 28.6950 | + | 20.8482i | 1.07014 | + | 0.777505i | 0.975938 | − | 0.218047i | \(-0.0699687\pi\) |
0.0942062 | + | 0.995553i | \(0.469969\pi\) | |||||||
\(720\) | 3.45023 | − | 5.75290i | 0.128583 | − | 0.214398i | ||||
\(721\) | −9.44921 | + | 6.86525i | −0.351907 | + | 0.255675i | ||||
\(722\) | −0.935594 | − | 8.90158i | −0.0348192 | − | 0.331283i | ||||
\(723\) | 6.77642 | − | 4.59825i | 0.252018 | − | 0.171011i | ||||
\(724\) | 0.479302 | + | 0.830175i | 0.0178131 | + | 0.0308532i | ||||
\(725\) | −29.4661 | − | 9.88398i | −1.09434 | − | 0.367082i | ||||
\(726\) | 8.95766 | − | 9.32774i | 0.332450 | − | 0.346185i | ||||
\(727\) | −9.79765 | − | 2.08256i | −0.363375 | − | 0.0772377i | 0.0226061 | − | 0.999744i | \(-0.492804\pi\) |
−0.385981 | + | 0.922507i | \(0.626137\pi\) | |||||||
\(728\) | −0.776900 | + | 0.564451i | −0.0287938 | + | 0.0209199i | ||||
\(729\) | −18.3991 | − | 19.7604i | −0.681447 | − | 0.731867i | ||||
\(730\) | −5.89161 | + | 4.72486i | −0.218058 | + | 0.174875i | ||||
\(731\) | −35.3348 | + | 15.7321i | −1.30690 | + | 0.581871i | ||||
\(732\) | −0.0913885 | + | 0.0951643i | −0.00337782 | + | 0.00351737i | ||||
\(733\) | −3.45557 | + | 32.8775i | −0.127634 | + | 1.21436i | 0.723842 | + | 0.689966i | \(0.242374\pi\) |
−0.851476 | + | 0.524393i | \(0.824292\pi\) | |||||||
\(734\) | 7.89805 | − | 1.67878i | 0.291522 | − | 0.0619650i | ||||
\(735\) | −20.5373 | − | 14.4404i | −0.757531 | − | 0.532642i | ||||
\(736\) | 1.01167 | + | 0.215036i | 0.0372905 | + | 0.00792635i | ||||
\(737\) | 7.47029 | − | 22.9912i | 0.275172 | − | 0.846892i | ||||
\(738\) | −5.27044 | − | 1.47957i | −0.194007 | − | 0.0544638i | ||||
\(739\) | −4.45748 | − | 13.7187i | −0.163971 | − | 0.504651i | 0.834988 | − | 0.550268i | \(-0.185475\pi\) |
−0.998959 | + | 0.0456173i | \(0.985475\pi\) | |||||||
\(740\) | 23.2908 | + | 3.80218i | 0.856185 | + | 0.139771i | ||||
\(741\) | −3.86614 | + | 6.22561i | −0.142026 | + | 0.228703i | ||||
\(742\) | 0.716721 | − | 6.81915i | 0.0263117 | − | 0.250339i | ||||
\(743\) | 17.1644 | + | 29.7296i | 0.629701 | + | 1.09067i | 0.987611 | + | 0.156919i | \(0.0501561\pi\) |
−0.357910 | + | 0.933756i | \(0.616511\pi\) | |||||||
\(744\) | 2.49700 | + | 2.95905i | 0.0915446 | + | 0.108484i | ||||
\(745\) | −5.90083 | + | 11.4465i | −0.216190 | + | 0.419369i | ||||
\(746\) | −3.84759 | + | 2.79544i | −0.140870 | + | 0.102348i | ||||
\(747\) | −11.3834 | + | 1.66451i | −0.416498 | + | 0.0609011i | ||||
\(748\) | −4.34493 | − | 13.3723i | −0.158866 | − | 0.488940i | ||||
\(749\) | −0.0405439 | + | 0.0702240i | −0.00148144 | + | 0.00256593i | ||||
\(750\) | 3.91223 | − | 18.9656i | 0.142854 | − | 0.692526i | ||||
\(751\) | 14.9442 | + | 25.8842i | 0.545323 | + | 0.944528i | 0.998586 | + | 0.0531511i | \(0.0169265\pi\) |
−0.453263 | + | 0.891377i | \(0.649740\pi\) | |||||||
\(752\) | −4.02123 | + | 4.46602i | −0.146639 | + | 0.162859i | ||||
\(753\) | −0.920476 | + | 6.68447i | −0.0335440 | + | 0.243596i | ||||
\(754\) | 0.867197 | + | 8.25083i | 0.0315815 | + | 0.300477i | ||||
\(755\) | 0.715545 | − | 0.0340990i | 0.0260413 | − | 0.00124099i | ||||
\(756\) | 0.807811 | + | 3.65031i | 0.0293798 | + | 0.132760i | ||||
\(757\) | −20.5936 | −0.748487 | −0.374243 | − | 0.927331i | \(-0.622098\pi\) | ||||
−0.374243 | + | 0.927331i | \(0.622098\pi\) | |||||||
\(758\) | −11.3838 | + | 5.06839i | −0.413478 | + | 0.184092i | ||||
\(759\) | 1.58917 | + | 2.96883i | 0.0576833 | + | 0.107762i | ||||
\(760\) | −4.48701 | + | 5.48759i | −0.162761 | + | 0.199056i | ||||
\(761\) | 4.20743 | − | 4.67283i | 0.152519 | − | 0.169390i | −0.662043 | − | 0.749466i | \(-0.730310\pi\) |
0.814562 | + | 0.580076i | \(0.196977\pi\) | |||||||
\(762\) | 19.1106 | + | 0.614107i | 0.692305 | + | 0.0222467i | ||||
\(763\) | 1.47900 | + | 1.64259i | 0.0535433 | + | 0.0594659i | ||||
\(764\) | −4.10060 | − | 12.6203i | −0.148354 | − | 0.456588i | ||||
\(765\) | −16.2969 | + | 47.4568i | −0.589215 | + | 1.71580i | ||||
\(766\) | 7.46543 | − | 22.9762i | 0.269737 | − | 0.830165i | ||||
\(767\) | 12.3255 | − | 5.48766i | 0.445048 | − | 0.198148i | ||||
\(768\) | −1.68176 | − | 0.414342i | −0.0606853 | − | 0.0149513i | ||||
\(769\) | −2.70249 | + | 25.7124i | −0.0974541 | + | 0.927214i | 0.831126 | + | 0.556083i | \(0.187697\pi\) |
−0.928581 | + | 0.371131i | \(0.878970\pi\) | |||||||
\(770\) | −2.81820 | − | 1.09717i | −0.101561 | − | 0.0395391i | ||||
\(771\) | −44.6357 | + | 18.1787i | −1.60752 | + | 0.654690i | ||||
\(772\) | −0.806904 | − | 7.67718i | −0.0290411 | − | 0.276308i | ||||
\(773\) | 11.6961 | + | 35.9969i | 0.420679 | + | 1.29472i | 0.907071 | + | 0.420977i | \(0.138313\pi\) |
−0.486392 | + | 0.873741i | \(0.661687\pi\) | |||||||
\(774\) | −13.1098 | + | 8.29372i | −0.471221 | + | 0.298112i | ||||
\(775\) | 9.62613 | + | 5.68003i | 0.345781 | + | 0.204033i | ||||
\(776\) | 6.05599 | − | 10.4893i | 0.217397 | − | 0.376543i | ||||
\(777\) | −10.8832 | + | 7.38496i | −0.390433 | + | 0.264934i | ||||
\(778\) | 4.29714 | + | 1.91321i | 0.154060 | + | 0.0685919i | ||||
\(779\) | 5.28442 | + | 2.35278i | 0.189334 | + | 0.0842970i | ||||
\(780\) | −5.03898 | + | 1.15295i | −0.180424 | + | 0.0412823i | ||||
\(781\) | 4.22509 | − | 1.88113i | 0.151185 | − | 0.0673121i | ||||
\(782\) | −7.73627 | −0.276649 | ||||||||
\(783\) | 30.8003 | + | 9.72406i | 1.10071 | + | 0.347510i | ||||
\(784\) | −2.00315 | + | 6.16506i | −0.0715410 | + | 0.220181i | ||||
\(785\) | −11.6654 | + | 22.6287i | −0.416356 | + | 0.807654i | ||||
\(786\) | −23.8842 | − | 11.5669i | −0.851923 | − | 0.412579i | ||||
\(787\) | 38.2124 | − | 8.12230i | 1.36213 | − | 0.289529i | 0.531830 | − | 0.846851i | \(-0.321505\pi\) |
0.830296 | + | 0.557322i | \(0.188171\pi\) | |||||||
\(788\) | −14.2460 | + | 3.02808i | −0.507493 | + | 0.107871i | ||||
\(789\) | 25.3108 | − | 17.1750i | 0.901088 | − | 0.611448i | ||||
\(790\) | 20.5955 | − | 10.3712i | 0.732756 | − | 0.368992i | ||||
\(791\) | 3.76021 | − | 11.5727i | 0.133698 | − | 0.411479i | ||||
\(792\) | −2.50027 | − | 5.05470i | −0.0888432 | − | 0.179611i | ||||
\(793\) | 0.101670 | 0.00361041 | ||||||||
\(794\) | 22.7195 | − | 10.1154i | 0.806287 | − | 0.358982i | ||||
\(795\) | 17.9570 | − | 32.2462i | 0.636869 | − | 1.14366i | ||||
\(796\) | 7.70883 | + | 3.43219i | 0.273232 | + | 0.121651i | ||||
\(797\) | 26.8341 | + | 11.9473i | 0.950511 | + | 0.423195i | 0.822619 | − | 0.568593i | \(-0.192512\pi\) |
0.127892 | + | 0.991788i | \(0.459179\pi\) | |||||||
\(798\) | −0.286546 | − | 3.94017i | −0.0101436 | − | 0.139480i | ||||
\(799\) | 22.4759 | − | 38.9293i | 0.795139 | − | 1.37722i | ||||
\(800\) | −4.97734 | + | 0.475466i | −0.175976 | + | 0.0168103i | ||||
\(801\) | 0.626611 | + | 15.4736i | 0.0221402 | + | 0.546734i | ||||
\(802\) | 3.06511 | + | 9.43345i | 0.108233 | + | 0.333107i | ||||
\(803\) | 0.663626 | + | 6.31398i | 0.0234189 | + | 0.222816i | ||||
\(804\) | 17.5909 | + | 13.6648i | 0.620383 | + | 0.481922i | ||||
\(805\) | −1.05330 | + | 1.28817i | −0.0371238 | + | 0.0454022i | ||||
\(806\) | 0.311865 | − | 2.96720i | 0.0109850 | − | 0.104515i | ||||
\(807\) | 13.7422 | − | 14.3100i | 0.483750 | − | 0.503736i | ||||
\(808\) | 1.05442 | − | 0.469460i | 0.0370945 | − | 0.0165155i | ||||
\(809\) | −5.79238 | + | 17.8271i | −0.203649 | + | 0.626768i | 0.796117 | + | 0.605143i | \(0.206884\pi\) |
−0.999766 | + | 0.0216251i | \(0.993116\pi\) | |||||||
\(810\) | −3.71361 | + | 19.7790i | −0.130483 | + | 0.694963i | ||||
\(811\) | 6.41141 | + | 19.7323i | 0.225135 | + | 0.692895i | 0.998278 | + | 0.0586626i | \(0.0186836\pi\) |
−0.773143 | + | 0.634232i | \(0.781316\pi\) | |||||||
\(812\) | −2.99258 | − | 3.32360i | −0.105019 | − | 0.116635i | ||||
\(813\) | −19.1089 | − | 35.6985i | −0.670178 | − | 1.25200i | ||||
\(814\) | 13.2746 | − | 14.7430i | 0.465276 | − | 0.516741i | ||||
\(815\) | −42.6735 | + | 11.2177i | −1.49479 | + | 0.392940i | ||||
\(816\) | 12.9490 | + | 0.416106i | 0.453304 | + | 0.0145666i | ||||
\(817\) | 14.9752 | − | 6.66740i | 0.523917 | − | 0.233263i | ||||
\(818\) | −13.9264 | −0.486926 | ||||||||
\(819\) | 1.59766 | − | 2.39731i | 0.0558268 | − | 0.0837687i | ||||
\(820\) | 1.44414 | + | 3.81610i | 0.0504316 | + | 0.133264i | ||||
\(821\) | −2.00483 | − | 19.0746i | −0.0699689 | − | 0.665709i | −0.972151 | − | 0.234354i | \(-0.924702\pi\) |
0.902182 | − | 0.431355i | \(-0.141964\pi\) | |||||||
\(822\) | 32.8850 | − | 13.3930i | 1.14700 | − | 0.467134i | ||||
\(823\) | −12.9569 | + | 14.3900i | −0.451647 | + | 0.501605i | −0.925368 | − | 0.379070i | \(-0.876244\pi\) |
0.473721 | + | 0.880675i | \(0.342911\pi\) | |||||||
\(824\) | 8.11668 | + | 14.0585i | 0.282758 | + | 0.489751i | ||||
\(825\) | −11.6342 | − | 11.3867i | −0.405052 | − | 0.396433i | ||||
\(826\) | −3.63660 | + | 6.29878i | −0.126534 | + | 0.219163i | ||||
\(827\) | 1.39912 | + | 4.30604i | 0.0486520 | + | 0.149736i | 0.972431 | − | 0.233190i | \(-0.0749165\pi\) |
−0.923779 | + | 0.382926i | \(0.874916\pi\) | |||||||
\(828\) | −3.07016 | + | 0.448924i | −0.106695 | + | 0.0156012i | ||||
\(829\) | 29.3340 | − | 21.3124i | 1.01881 | − | 0.740209i | 0.0527718 | − | 0.998607i | \(-0.483194\pi\) |
0.966039 | + | 0.258397i | \(0.0831944\pi\) | |||||||
\(830\) | 6.03458 | + | 6.09207i | 0.209463 | + | 0.211459i | ||||
\(831\) | 7.93417 | − | 21.9892i | 0.275233 | − | 0.762797i | ||||
\(832\) | 0.667341 | + | 1.15587i | 0.0231359 | + | 0.0400725i | ||||
\(833\) | 5.06832 | − | 48.2218i | 0.175607 | − | 1.67079i | ||||
\(834\) | 6.38093 | + | 11.9206i | 0.220954 | + | 0.412778i | ||||
\(835\) | −46.0550 | + | 23.1918i | −1.59380 | + | 0.802586i | ||||
\(836\) | 1.84142 | + | 5.66732i | 0.0636870 | + | 0.196008i | ||||
\(837\) | −10.1074 | − | 5.72354i | −0.349364 | − | 0.197834i | ||||
\(838\) | −1.94995 | + | 6.00133i | −0.0673599 | + | 0.207312i | ||||
\(839\) | −42.5798 | − | 9.05061i | −1.47002 | − | 0.312462i | −0.597826 | − | 0.801626i | \(-0.703968\pi\) |
−0.872192 | + | 0.489164i | \(0.837302\pi\) | |||||||
\(840\) | 1.83229 | − | 2.09949i | 0.0632200 | − | 0.0724394i | ||||
\(841\) | −9.42706 | + | 2.00378i | −0.325071 | + | 0.0690960i | ||||
\(842\) | 0.0737356 | − | 0.701548i | 0.00254110 | − | 0.0241769i | ||||
\(843\) | −12.6175 | − | 43.5446i | −0.434569 | − | 1.49976i | ||||
\(844\) | 10.6874 | − | 4.75835i | 0.367877 | − | 0.163789i | ||||
\(845\) | −20.9735 | − | 13.7622i | −0.721512 | − | 0.473434i | ||||
\(846\) | 6.66058 | − | 16.7534i | 0.228996 | − | 0.575995i | ||||
\(847\) | 4.34615 | − | 3.15767i | 0.149336 | − | 0.108499i | ||||
\(848\) | −9.32160 | − | 1.98137i | −0.320105 | − | 0.0680405i | ||||
\(849\) | −38.0014 | − | 9.36254i | −1.30420 | − | 0.321321i | ||||
\(850\) | 35.6773 | − | 11.2193i | 1.22372 | − | 0.384820i | ||||
\(851\) | −5.45774 | − | 9.45309i | −0.187089 | − | 0.324048i | ||||
\(852\) | 0.309100 | + | 4.25029i | 0.0105896 | + | 0.145613i | ||||
\(853\) | −3.90572 | − | 37.1604i | −0.133729 | − | 1.27235i | −0.831296 | − | 0.555830i | \(-0.812401\pi\) |
0.697567 | − | 0.716520i | \(-0.254266\pi\) | |||||||
\(854\) | −0.0443407 | + | 0.0322154i | −0.00151731 | + | 0.00110239i | ||||
\(855\) | 6.90678 | − | 20.1127i | 0.236207 | − | 0.687838i | ||||
\(856\) | 0.0911766 | + | 0.0662437i | 0.00311635 | + | 0.00226416i | ||||
\(857\) | 20.3383 | − | 35.2270i | 0.694745 | − | 1.20333i | −0.275522 | − | 0.961295i | \(-0.588851\pi\) |
0.970267 | − | 0.242038i | \(-0.0778159\pi\) | |||||||
\(858\) | −1.47488 | + | 4.08756i | −0.0503515 | + | 0.139547i | ||||
\(859\) | −30.2389 | + | 6.42747i | −1.03174 | + | 0.219303i | −0.692515 | − | 0.721403i | \(-0.743497\pi\) |
−0.339223 | + | 0.940706i | \(0.610164\pi\) | |||||||
\(860\) | 10.7749 | + | 4.19483i | 0.367422 | + | 0.143042i | ||||
\(861\) | −2.04661 | − | 0.991157i | −0.0697483 | − | 0.0337786i | ||||
\(862\) | 18.7564 | + | 20.8311i | 0.638846 | + | 0.709511i | ||||
\(863\) | 4.25655 | − | 13.1003i | 0.144895 | − | 0.445940i | −0.852103 | − | 0.523374i | \(-0.824673\pi\) |
0.996997 | + | 0.0774347i | \(0.0246729\pi\) | |||||||
\(864\) | 5.16297 | − | 0.586276i | 0.175648 | − | 0.0199455i | ||||
\(865\) | −8.23410 | − | 21.7584i | −0.279968 | − | 0.739807i | ||||
\(866\) | 2.77201 | + | 3.07863i | 0.0941966 | + | 0.104616i | ||||
\(867\) | −66.4049 | + | 11.8997i | −2.25523 | + | 0.404133i | ||||
\(868\) | 0.804182 | + | 1.39288i | 0.0272957 | + | 0.0472776i | ||||
\(869\) | 2.02628 | − | 19.2788i | 0.0687370 | − | 0.653989i | ||||
\(870\) | −7.79319 | − | 22.7779i | −0.264214 | − | 0.772242i | ||||
\(871\) | −1.79418 | − | 17.0705i | −0.0607935 | − | 0.578411i | ||||
\(872\) | 2.48533 | − | 1.80570i | 0.0841640 | − | 0.0611487i | ||||
\(873\) | −6.11038 | + | 35.8185i | −0.206805 | + | 1.21227i | ||||
\(874\) | 3.27871 | 0.110904 | ||||||||
\(875\) | 2.98932 | − | 7.46817i | 0.101057 | − | 0.252470i | ||||
\(876\) | −5.68004 | − | 1.39941i | −0.191911 | − | 0.0472818i | ||||
\(877\) | −21.0184 | + | 23.3434i | −0.709743 | + | 0.788249i | −0.984895 | − | 0.173152i | \(-0.944605\pi\) |
0.275153 | + | 0.961401i | \(0.411272\pi\) | |||||||
\(878\) | 13.8711 | + | 6.17581i | 0.468127 | + | 0.208424i | ||||
\(879\) | 48.9304 | − | 19.9278i | 1.65038 | − | 0.672147i | ||||
\(880\) | −1.92598 | + | 3.73605i | −0.0649247 | + | 0.125942i | ||||
\(881\) | −7.76529 | − | 5.64181i | −0.261619 | − | 0.190078i | 0.449241 | − | 0.893410i | \(-0.351694\pi\) |
−0.710861 | + | 0.703333i | \(0.751694\pi\) | |||||||
\(882\) | −0.786867 | − | 19.4310i | −0.0264952 | − | 0.654277i | ||||
\(883\) | −20.2132 | − | 14.6857i | −0.680228 | − | 0.494215i | 0.193205 | − | 0.981158i | \(-0.438112\pi\) |
−0.873433 | + | 0.486944i | \(0.838112\pi\) | |||||||
\(884\) | −6.68017 | − | 7.41908i | −0.224678 | − | 0.249531i | ||||
\(885\) | −31.3134 | + | 23.5003i | −1.05259 | + | 0.789955i | ||||
\(886\) | −2.43741 | + | 2.70701i | −0.0818863 | + | 0.0909439i | ||||
\(887\) | 10.3475 | − | 2.19944i | 0.347437 | − | 0.0738499i | −0.0308881 | − | 0.999523i | \(-0.509834\pi\) |
0.378325 | + | 0.925673i | \(0.376500\pi\) | |||||||
\(888\) | 8.62672 | + | 16.1161i | 0.289494 | + | 0.540822i | ||||
\(889\) | 7.76913 | + | 1.65138i | 0.260568 | + | 0.0553855i | ||||
\(890\) | 9.00480 | − | 7.22152i | 0.301842 | − | 0.242066i | ||||
\(891\) | 12.2997 | + | 11.6159i | 0.412057 | + | 0.389147i | ||||
\(892\) | −8.92446 | − | 6.48400i | −0.298813 | − | 0.217100i | ||||
\(893\) | −9.52549 | + | 16.4986i | −0.318758 | + | 0.552106i | ||||
\(894\) | −9.81886 | + | 1.75952i | −0.328392 | + | 0.0588472i | ||||
\(895\) | −17.2646 | − | 6.72134i | −0.577091 | − | 0.224670i | ||||
\(896\) | −0.657294 | − | 0.292646i | −0.0219587 | − | 0.00977662i | ||||
\(897\) | 1.88819 | + | 1.46677i | 0.0630448 | + | 0.0489740i | ||||
\(898\) | −27.2517 | − | 5.79252i | −0.909399 | − | 0.193299i | ||||
\(899\) | 13.8951 | 0.463426 | ||||||||
\(900\) | 13.5076 | − | 6.52272i | 0.450252 | − | 0.217424i | ||||
\(901\) | 71.2828 | 2.37477 | ||||||||
\(902\) | 3.35509 | + | 0.713146i | 0.111712 | + | 0.0237452i | ||||
\(903\) | −5.96814 | + | 2.43063i | −0.198607 | + | 0.0808863i | ||||
\(904\) | −15.4501 | − | 6.87881i | −0.513861 | − | 0.228786i | ||||
\(905\) | −0.122330 | + | 2.14001i | −0.00406639 | + | 0.0711363i | ||||
\(906\) | 0.357857 | + | 0.424074i | 0.0118890 | + | 0.0140889i | ||||
\(907\) | −9.91278 | + | 17.1694i | −0.329148 | + | 0.570102i | −0.982343 | − | 0.187088i | \(-0.940095\pi\) |
0.653195 | + | 0.757190i | \(0.273428\pi\) | |||||||
\(908\) | −2.28725 | − | 1.66178i | −0.0759049 | − | 0.0551481i | ||||
\(909\) | −2.47738 | + | 2.41918i | −0.0821696 | + | 0.0802390i | ||||
\(910\) | −2.14486 | + | 0.102213i | −0.0711016 | + | 0.00338831i | ||||
\(911\) | −10.6329 | − | 2.26010i | −0.352285 | − | 0.0748805i | 0.0283704 | − | 0.999597i | \(-0.490968\pi\) |
−0.380655 | + | 0.924717i | \(0.624302\pi\) | |||||||
\(912\) | −5.48790 | − | 0.176350i | −0.181723 | − | 0.00583953i | ||||
\(913\) | 7.05102 | − | 1.49874i | 0.233355 | − | 0.0496011i | ||||
\(914\) | 18.5939 | − | 20.6507i | 0.615033 | − | 0.683063i | ||||
\(915\) | −0.287594 | + | 0.0658035i | −0.00950757 | + | 0.00217540i | ||||
\(916\) | 2.59573 | + | 2.88285i | 0.0857654 | + | 0.0952521i | ||||
\(917\) | −8.91847 | − | 6.47965i | −0.294514 | − | 0.213977i | ||||
\(918\) | −36.8631 | + | 12.3188i | −1.21666 | + | 0.406580i | ||||
\(919\) | −25.7762 | − | 18.7275i | −0.850280 | − | 0.617765i | 0.0749433 | − | 0.997188i | \(-0.476122\pi\) |
−0.925223 | + | 0.379423i | \(0.876122\pi\) | |||||||
\(920\) | 1.62755 | + | 1.64306i | 0.0536587 | + | 0.0541700i | ||||
\(921\) | 5.03295 | − | 36.5491i | 0.165841 | − | 1.20434i | ||||
\(922\) | −32.5104 | − | 14.4746i | −1.07067 | − | 0.476695i | ||||
\(923\) | 2.19731 | − | 2.44037i | 0.0723255 | − | 0.0803256i | ||||
\(924\) | −0.651964 | − | 2.25001i | −0.0214480 | − | 0.0740200i | ||||
\(925\) | 38.8785 | + | 35.6797i | 1.27832 | + | 1.17314i | ||||
\(926\) | 5.21977 | 0.171532 | ||||||||
\(927\) | −37.4801 | − | 31.0957i | −1.23101 | − | 1.02132i | ||||
\(928\) | −5.02879 | + | 3.65363i | −0.165078 | + | 0.119936i | ||||
\(929\) | −2.67698 | − | 25.4697i | −0.0878288 | − | 0.835635i | −0.946412 | − | 0.322961i | \(-0.895322\pi\) |
0.858583 | − | 0.512674i | \(-0.171345\pi\) | |||||||
\(930\) | 1.03828 | + | 8.59517i | 0.0340464 | + | 0.281847i | ||||
\(931\) | −2.14800 | + | 20.4369i | −0.0703980 | + | 0.669792i | ||||
\(932\) | 4.09964 | + | 7.10079i | 0.134288 | + | 0.232594i | ||||
\(933\) | 13.8996 | + | 16.4716i | 0.455053 | + | 0.539256i | ||||
\(934\) | 2.76141 | + | 3.06685i | 0.0903560 | + | 0.100350i | ||||
\(935\) | 8.28122 | − | 30.3300i | 0.270825 | − | 0.991896i | ||||
\(936\) | −3.08156 | − | 2.55664i | −0.100724 | − | 0.0835663i | ||||
\(937\) | −11.8258 | + | 36.3961i | −0.386332 | + | 1.18901i | 0.549177 | + | 0.835706i | \(0.314941\pi\) |
−0.935509 | + | 0.353302i | \(0.885059\pi\) | |||||||
\(938\) | 6.19147 | + | 6.87633i | 0.202159 | + | 0.224520i | ||||
\(939\) | −24.2123 | + | 16.4296i | −0.790139 | + | 0.536161i | ||||
\(940\) | −12.9964 | + | 3.41641i | −0.423896 | + | 0.111431i | ||||
\(941\) | 7.42016 | − | 1.57720i | 0.241890 | − | 0.0514154i | −0.0853711 | − | 0.996349i | \(-0.527208\pi\) |
0.327261 | + | 0.944934i | \(0.393874\pi\) | |||||||
\(942\) | −19.4110 | + | 3.47841i | −0.632443 | + | 0.113333i | ||||
\(943\) | 0.943628 | − | 1.63441i | 0.0307288 | − | 0.0532238i | ||||
\(944\) | 8.17813 | + | 5.94176i | 0.266175 | + | 0.193388i | ||||
\(945\) | −2.96770 | + | 7.81532i | −0.0965394 | + | 0.254232i | ||||
\(946\) | 7.86381 | − | 5.71339i | 0.255674 | − | 0.185758i | ||||
\(947\) | 2.67354 | + | 25.4371i | 0.0868785 | + | 0.826594i | 0.948016 | + | 0.318222i | \(0.103086\pi\) |
−0.861138 | + | 0.508372i | \(0.830248\pi\) | |||||||
\(948\) | 16.0758 | + | 7.78537i | 0.522117 | + | 0.252857i | ||||
\(949\) | 2.25390 | + | 3.90387i | 0.0731647 | + | 0.126725i | ||||
\(950\) | −15.1204 | + | 4.75487i | −0.490570 | + | 0.154268i | ||||
\(951\) | 15.3102 | + | 52.8377i | 0.496469 | + | 1.71338i | ||||
\(952\) | 5.26420 | + | 1.11894i | 0.170614 | + | 0.0362651i | ||||
\(953\) | 6.93928 | − | 5.04168i | 0.224785 | − | 0.163316i | −0.469693 | − | 0.882830i | \(-0.655635\pi\) |
0.694478 | + | 0.719514i | \(0.255635\pi\) | |||||||
\(954\) | 28.2887 | − | 4.13644i | 0.915882 | − | 0.133922i | ||||
\(955\) | 7.81554 | − | 28.6244i | 0.252905 | − | 0.926265i | ||||
\(956\) | 25.9905 | − | 11.5717i | 0.840592 | − | 0.374256i | ||||
\(957\) | −19.6504 | − | 4.84134i | −0.635207 | − | 0.156498i | ||||
\(958\) | 1.19485 | − | 11.3682i | 0.0386039 | − | 0.367291i | ||||
\(959\) | 14.4277 | − | 3.06669i | 0.465893 | − | 0.0990287i | ||||
\(960\) | −2.63582 | − | 2.83769i | −0.0850706 | − | 0.0915860i | ||||
\(961\) | 25.4348 | + | 5.40633i | 0.820476 | + | 0.174398i | ||||
\(962\) | 4.35281 | − | 13.3966i | 0.140340 | − | 0.431923i | ||||
\(963\) | −0.325518 | − | 0.0913827i | −0.0104897 | − | 0.00294477i | ||||
\(964\) | −1.46105 | − | 4.49666i | −0.0470573 | − | 0.144828i | ||||
\(965\) | 7.90928 | − | 15.3426i | 0.254609 | − | 0.493895i | ||||
\(966\) | −1.28825 | − | 0.0413969i | −0.0414487 | − | 0.00133192i | ||||
\(967\) | 1.52627 | − | 14.5214i | 0.0490814 | − | 0.466978i | −0.942184 | − | 0.335096i | \(-0.891231\pi\) |
0.991265 | − | 0.131882i | \(-0.0421021\pi\) | |||||||
\(968\) | −3.73326 | − | 6.46619i | −0.119991 | − | 0.207831i | ||||
\(969\) | 40.4264 | − | 7.24435i | 1.29868 | − | 0.232722i | ||||
\(970\) | 24.1893 | − | 12.1810i | 0.776673 | − | 0.391107i | ||||
\(971\) | 0.802141 | − | 0.582789i | 0.0257419 | − | 0.0187026i | −0.574840 | − | 0.818266i | \(-0.694936\pi\) |
0.600582 | + | 0.799563i | \(0.294936\pi\) | |||||||
\(972\) | −13.9144 | + | 7.02785i | −0.446303 | + | 0.225418i | ||||
\(973\) | 1.73564 | + | 5.34176i | 0.0556422 | + | 0.171249i | ||||
\(974\) | 7.04960 | − | 12.2103i | 0.225884 | − | 0.391242i | ||||
\(975\) | −10.8349 | − | 4.02598i | −0.346994 | − | 0.128935i | ||||
\(976\) | 0.0380877 | + | 0.0659699i | 0.00121916 | + | 0.00211164i | ||||
\(977\) | 13.9210 | − | 15.4609i | 0.445374 | − | 0.494638i | −0.478097 | − | 0.878307i | \(-0.658673\pi\) |
0.923470 | + | 0.383670i | \(0.125340\pi\) | |||||||
\(978\) | −26.9909 | − | 20.9669i | −0.863074 | − | 0.670447i | ||||
\(979\) | −1.01429 | − | 9.65035i | −0.0324169 | − | 0.308427i | ||||
\(980\) | −11.3078 | + | 9.06843i | −0.361214 | + | 0.289680i | ||||
\(981\) | −5.11098 | + | 7.66908i | −0.163181 | + | 0.244855i | ||||
\(982\) | 17.8171 | 0.568567 | ||||||||
\(983\) | 1.42941 | − | 0.636416i | 0.0455912 | − | 0.0202985i | −0.383814 | − | 0.923410i | \(-0.625390\pi\) |
0.429406 | + | 0.903112i | \(0.358723\pi\) | |||||||
\(984\) | −1.66735 | + | 2.68492i | −0.0531533 | + | 0.0855922i | ||||
\(985\) | −30.3480 | − | 11.8149i | −0.966967 | − | 0.376454i | ||||
\(986\) | 31.1111 | − | 34.5523i | 0.990778 | − | 1.10037i | ||||
\(987\) | 3.95100 | − | 6.36226i | 0.125762 | − | 0.202513i | ||||
\(988\) | 2.83112 | + | 3.14428i | 0.0900700 | + | 0.100033i | ||||
\(989\) | −1.65268 | − | 5.08643i | −0.0525522 | − | 0.161739i | ||||
\(990\) | 1.52642 | − | 12.5171i | 0.0485127 | − | 0.397818i | ||||
\(991\) | −13.7377 | + | 42.2802i | −0.436391 | + | 1.34307i | 0.455263 | + | 0.890357i | \(0.349545\pi\) |
−0.891654 | + | 0.452717i | \(0.850455\pi\) | |||||||
\(992\) | 2.04214 | − | 0.909218i | 0.0648379 | − | 0.0288677i | ||||
\(993\) | −10.9574 | − | 37.8154i | −0.347722 | − | 1.20003i | ||||
\(994\) | −0.185041 | + | 1.76055i | −0.00586914 | + | 0.0558412i | ||||
\(995\) | 10.2015 | + | 15.8732i | 0.323410 | + | 0.503215i | ||||
\(996\) | −0.906093 | + | 6.58002i | −0.0287107 | + | 0.208496i | ||||
\(997\) | −2.82392 | − | 26.8678i | −0.0894346 | − | 0.850913i | −0.943639 | − | 0.330976i | \(-0.892622\pi\) |
0.854205 | − | 0.519937i | \(-0.174045\pi\) | |||||||
\(998\) | 4.77621 | + | 14.6997i | 0.151188 | + | 0.465310i | ||||
\(999\) | −41.0585 | − | 36.3531i | −1.29903 | − | 1.15016i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 450.2.q.c.331.7 | yes | 120 | |
9.4 | even | 3 | inner | 450.2.q.c.31.1 | ✓ | 120 | |
25.21 | even | 5 | inner | 450.2.q.c.421.1 | yes | 120 | |
225.121 | even | 15 | inner | 450.2.q.c.121.7 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
450.2.q.c.31.1 | ✓ | 120 | 9.4 | even | 3 | inner | |
450.2.q.c.121.7 | yes | 120 | 225.121 | even | 15 | inner | |
450.2.q.c.331.7 | yes | 120 | 1.1 | even | 1 | trivial | |
450.2.q.c.421.1 | yes | 120 | 25.21 | even | 5 | inner |