Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [841,2,Mod(190,841)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(841, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("841.190");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 841 = 29^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 841.d (of order \(7\), degree \(6\), not 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: | \(6.71541880999\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{14})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 29) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 190.1 | ||
Root | \(-0.623490 - 0.781831i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 841.190 |
Dual form | 841.2.d.e.571.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/841\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.62349 | + | 0.781831i | 1.14798 | + | 0.552838i | 0.908426 | − | 0.418045i | \(-0.137284\pi\) |
0.239554 | + | 0.970883i | \(0.422999\pi\) | |||||||
\(3\) | 0.277479 | − | 0.347948i | 0.160203 | − | 0.200888i | −0.695251 | − | 0.718767i | \(-0.744707\pi\) |
0.855454 | + | 0.517879i | \(0.173278\pi\) | |||||||
\(4\) | 0.777479 | + | 0.974928i | 0.388740 | + | 0.487464i | ||||
\(5\) | −0.321552 | − | 0.154851i | −0.143802 | − | 0.0692516i | 0.360599 | − | 0.932721i | \(-0.382572\pi\) |
−0.504401 | + | 0.863469i | \(0.668287\pi\) | |||||||
\(6\) | 0.722521 | − | 0.347948i | 0.294968 | − | 0.142049i | ||||
\(7\) | −2.52446 | + | 3.16557i | −0.954156 | + | 1.19647i | 0.0262842 | + | 0.999655i | \(0.491633\pi\) |
−0.980440 | + | 0.196819i | \(0.936939\pi\) | |||||||
\(8\) | −0.301938 | − | 1.32288i | −0.106751 | − | 0.467707i | ||||
\(9\) | 0.623490 | + | 2.73169i | 0.207830 | + | 0.910562i | ||||
\(10\) | −0.400969 | − | 0.502799i | −0.126797 | − | 0.158999i | ||||
\(11\) | −0.647948 | + | 2.83885i | −0.195364 | + | 0.855945i | 0.778288 | + | 0.627907i | \(0.216088\pi\) |
−0.973652 | + | 0.228038i | \(0.926769\pi\) | |||||||
\(12\) | 0.554958 | 0.160203 | ||||||||
\(13\) | −1.15399 | + | 5.05596i | −0.320059 | + | 1.40227i | 0.517388 | + | 0.855751i | \(0.326905\pi\) |
−0.837447 | + | 0.546519i | \(0.815953\pi\) | |||||||
\(14\) | −6.57338 | + | 3.16557i | −1.75681 | + | 0.846034i | ||||
\(15\) | −0.143104 | + | 0.0689153i | −0.0369493 | + | 0.0177939i | ||||
\(16\) | 1.09903 | − | 4.81517i | 0.274758 | − | 1.20379i | ||||
\(17\) | 1.10992 | 0.269194 | 0.134597 | − | 0.990900i | \(-0.457026\pi\) | ||||
0.134597 | + | 0.990900i | \(0.457026\pi\) | |||||||
\(18\) | −1.12349 | + | 4.92233i | −0.264809 | + | 1.16020i | ||||
\(19\) | 1.27748 | + | 1.60191i | 0.293074 | + | 0.367503i | 0.906468 | − | 0.422274i | \(-0.138768\pi\) |
−0.613395 | + | 0.789777i | \(0.710196\pi\) | |||||||
\(20\) | −0.0990311 | − | 0.433884i | −0.0221440 | − | 0.0970194i | ||||
\(21\) | 0.400969 | + | 1.75676i | 0.0874986 | + | 0.383356i | ||||
\(22\) | −3.27144 | + | 4.10225i | −0.697473 | + | 0.874603i | ||||
\(23\) | 3.72737 | − | 1.79500i | 0.777209 | − | 0.374284i | −0.00284506 | − | 0.999996i | \(-0.500906\pi\) |
0.780054 | + | 0.625712i | \(0.215191\pi\) | |||||||
\(24\) | −0.544073 | − | 0.262012i | −0.111058 | − | 0.0534829i | ||||
\(25\) | −3.03803 | − | 3.80957i | −0.607606 | − | 0.761914i | ||||
\(26\) | −5.82640 | + | 7.30607i | −1.14265 | + | 1.43284i | ||||
\(27\) | 2.32640 | + | 1.12033i | 0.447715 | + | 0.215608i | ||||
\(28\) | −5.04892 | −0.954156 | ||||||||
\(29\) | 0 | 0 | ||||||||
\(30\) | −0.286208 | −0.0522542 | ||||||||
\(31\) | 5.72737 | + | 2.75815i | 1.02867 | + | 0.495379i | 0.870570 | − | 0.492045i | \(-0.163750\pi\) |
0.158095 | + | 0.987424i | \(0.449465\pi\) | |||||||
\(32\) | 3.85690 | − | 4.83639i | 0.681809 | − | 0.854962i | ||||
\(33\) | 0.807979 | + | 1.01317i | 0.140651 | + | 0.176371i | ||||
\(34\) | 1.80194 | + | 0.867767i | 0.309030 | + | 0.148821i | ||||
\(35\) | 1.30194 | − | 0.626980i | 0.220068 | − | 0.105979i | ||||
\(36\) | −2.17845 | + | 2.73169i | −0.363075 | + | 0.455281i | ||||
\(37\) | 0.647948 | + | 2.83885i | 0.106522 | + | 0.466704i | 0.999850 | + | 0.0172990i | \(0.00550672\pi\) |
−0.893328 | + | 0.449405i | \(0.851636\pi\) | |||||||
\(38\) | 0.821552 | + | 3.59945i | 0.133273 | + | 0.583909i | ||||
\(39\) | 1.43900 | + | 1.80445i | 0.230425 | + | 0.288943i | ||||
\(40\) | −0.107760 | + | 0.472129i | −0.0170384 | + | 0.0746501i | ||||
\(41\) | 0.396125 | 0.0618643 | 0.0309321 | − | 0.999521i | \(-0.490152\pi\) | ||||
0.0309321 | + | 0.999521i | \(0.490152\pi\) | |||||||
\(42\) | −0.722521 | + | 3.16557i | −0.111487 | + | 0.488458i | ||||
\(43\) | −5.17241 | + | 2.49090i | −0.788785 | + | 0.379859i | −0.784497 | − | 0.620132i | \(-0.787079\pi\) |
−0.00428731 | + | 0.999991i | \(0.501365\pi\) | |||||||
\(44\) | −3.27144 | + | 1.57544i | −0.493188 | + | 0.237507i | ||||
\(45\) | 0.222521 | − | 0.974928i | 0.0331715 | − | 0.145334i | ||||
\(46\) | 7.45473 | 1.09914 | ||||||||
\(47\) | 1.73609 | − | 7.60633i | 0.253235 | − | 1.10950i | −0.675092 | − | 0.737733i | \(-0.735896\pi\) |
0.928328 | − | 0.371763i | \(-0.121247\pi\) | |||||||
\(48\) | −1.37047 | − | 1.71851i | −0.197810 | − | 0.248046i | ||||
\(49\) | −2.09030 | − | 9.15821i | −0.298615 | − | 1.30832i | ||||
\(50\) | −1.95377 | − | 8.56003i | −0.276305 | − | 1.21057i | ||||
\(51\) | 0.307979 | − | 0.386193i | 0.0431256 | − | 0.0540778i | ||||
\(52\) | −5.82640 | + | 2.80584i | −0.807976 | + | 0.389101i | ||||
\(53\) | 3.92543 | + | 1.89039i | 0.539199 | + | 0.259665i | 0.683603 | − | 0.729854i | \(-0.260412\pi\) |
−0.144404 | + | 0.989519i | \(0.546126\pi\) | |||||||
\(54\) | 2.90097 | + | 3.63770i | 0.394772 | + | 0.495028i | ||||
\(55\) | 0.647948 | − | 0.812502i | 0.0873694 | − | 0.109558i | ||||
\(56\) | 4.94989 | + | 2.38374i | 0.661456 | + | 0.318541i | ||||
\(57\) | 0.911854 | 0.120778 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −9.10992 | −1.18601 | −0.593005 | − | 0.805199i | \(-0.702059\pi\) | ||||
−0.593005 | + | 0.805199i | \(0.702059\pi\) | |||||||
\(60\) | −0.178448 | − | 0.0859360i | −0.0230375 | − | 0.0110943i | ||||
\(61\) | −3.77144 | + | 4.72923i | −0.482883 | + | 0.605516i | −0.962273 | − | 0.272086i | \(-0.912287\pi\) |
0.479390 | + | 0.877602i | \(0.340858\pi\) | |||||||
\(62\) | 7.14191 | + | 8.95567i | 0.907023 | + | 1.13737i | ||||
\(63\) | −10.2213 | − | 4.92233i | −1.28777 | − | 0.620155i | ||||
\(64\) | 1.14310 | − | 0.550490i | 0.142888 | − | 0.0688112i | ||||
\(65\) | 1.15399 | − | 1.44706i | 0.143135 | − | 0.179485i | ||||
\(66\) | 0.519614 | + | 2.27658i | 0.0639601 | + | 0.280228i | ||||
\(67\) | −0.0833017 | − | 0.364968i | −0.0101769 | − | 0.0445880i | 0.969585 | − | 0.244757i | \(-0.0787081\pi\) |
−0.979761 | + | 0.200169i | \(0.935851\pi\) | |||||||
\(68\) | 0.862937 | + | 1.08209i | 0.104646 | + | 0.131222i | ||||
\(69\) | 0.409698 | − | 1.79500i | 0.0493219 | − | 0.216093i | ||||
\(70\) | 2.60388 | 0.311223 | ||||||||
\(71\) | 2.53803 | − | 11.1198i | 0.301209 | − | 1.31968i | −0.567096 | − | 0.823652i | \(-0.691933\pi\) |
0.868305 | − | 0.496031i | \(-0.165210\pi\) | |||||||
\(72\) | 3.42543 | − | 1.64960i | 0.403691 | − | 0.194407i | ||||
\(73\) | 8.06249 | − | 3.88269i | 0.943643 | − | 0.454435i | 0.102190 | − | 0.994765i | \(-0.467415\pi\) |
0.841453 | + | 0.540330i | \(0.181701\pi\) | |||||||
\(74\) | −1.16756 | + | 5.11543i | −0.135726 | + | 0.594656i | ||||
\(75\) | −2.16852 | −0.250399 | ||||||||
\(76\) | −0.568532 | + | 2.49090i | −0.0652151 | + | 0.285726i | ||||
\(77\) | −7.35086 | − | 9.21768i | −0.837708 | − | 1.05045i | ||||
\(78\) | 0.925428 | + | 4.05456i | 0.104784 | + | 0.459089i | ||||
\(79\) | 0.132219 | + | 0.579289i | 0.0148758 | + | 0.0651751i | 0.981821 | − | 0.189809i | \(-0.0607869\pi\) |
−0.966945 | + | 0.254984i | \(0.917930\pi\) | |||||||
\(80\) | −1.09903 | + | 1.37814i | −0.122875 | + | 0.154081i | ||||
\(81\) | −6.53803 | + | 3.14855i | −0.726448 | + | 0.349839i | ||||
\(82\) | 0.643104 | + | 0.309703i | 0.0710190 | + | 0.0342009i | ||||
\(83\) | −5.88135 | − | 7.37499i | −0.645563 | − | 0.809510i | 0.346124 | − | 0.938189i | \(-0.387498\pi\) |
−0.991686 | + | 0.128679i | \(0.958926\pi\) | |||||||
\(84\) | −1.40097 | + | 1.75676i | −0.152858 | + | 0.191678i | ||||
\(85\) | −0.356896 | − | 0.171872i | −0.0387108 | − | 0.0186421i | ||||
\(86\) | −10.3448 | −1.11551 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.95108 | 0.421187 | ||||||||
\(89\) | −1.28232 | − | 0.617534i | −0.135926 | − | 0.0654585i | 0.364685 | − | 0.931131i | \(-0.381177\pi\) |
−0.500611 | + | 0.865673i | \(0.666891\pi\) | |||||||
\(90\) | 1.12349 | − | 1.40881i | 0.118426 | − | 0.148502i | ||||
\(91\) | −13.0918 | − | 16.4166i | −1.37239 | − | 1.72093i | ||||
\(92\) | 4.64795 | + | 2.23833i | 0.484582 | + | 0.233362i | ||||
\(93\) | 2.54892 | − | 1.22749i | 0.264310 | − | 0.127285i | ||||
\(94\) | 8.76540 | − | 10.9915i | 0.904082 | − | 1.13368i | ||||
\(95\) | −0.162718 | − | 0.712916i | −0.0166946 | − | 0.0731437i | ||||
\(96\) | −0.612605 | − | 2.68400i | −0.0625237 | − | 0.273934i | ||||
\(97\) | 9.82036 | + | 12.3143i | 0.997106 | + | 1.25033i | 0.968051 | + | 0.250754i | \(0.0806784\pi\) |
0.0290551 | + | 0.999578i | \(0.490750\pi\) | |||||||
\(98\) | 3.76659 | − | 16.5025i | 0.380483 | − | 1.66701i | ||||
\(99\) | −8.15883 | −0.819994 | ||||||||
\(100\) | 1.35205 | − | 5.92372i | 0.135205 | − | 0.592372i | ||||
\(101\) | 15.7153 | − | 7.56808i | 1.56373 | − | 0.753052i | 0.566265 | − | 0.824223i | \(-0.308388\pi\) |
0.997464 | + | 0.0711709i | \(0.0226736\pi\) | |||||||
\(102\) | 0.801938 | − | 0.386193i | 0.0794037 | − | 0.0382388i | ||||
\(103\) | 0.626178 | − | 2.74347i | 0.0616992 | − | 0.270322i | −0.934664 | − | 0.355533i | \(-0.884299\pi\) |
0.996363 | + | 0.0852112i | \(0.0271565\pi\) | |||||||
\(104\) | 7.03684 | 0.690019 | ||||||||
\(105\) | 0.143104 | − | 0.626980i | 0.0139655 | − | 0.0611870i | ||||
\(106\) | 4.89493 | + | 6.13805i | 0.475437 | + | 0.596180i | ||||
\(107\) | 1.66003 | + | 7.27307i | 0.160481 | + | 0.703114i | 0.989577 | + | 0.144007i | \(0.0459988\pi\) |
−0.829096 | + | 0.559107i | \(0.811144\pi\) | |||||||
\(108\) | 0.716480 | + | 3.13910i | 0.0689433 | + | 0.302060i | ||||
\(109\) | −1.03050 | + | 1.29221i | −0.0987039 | + | 0.123771i | −0.828730 | − | 0.559648i | \(-0.810936\pi\) |
0.730026 | + | 0.683419i | \(0.239508\pi\) | |||||||
\(110\) | 1.68718 | − | 0.812502i | 0.160866 | − | 0.0774690i | ||||
\(111\) | 1.16756 | + | 0.562269i | 0.110820 | + | 0.0533682i | ||||
\(112\) | 12.4683 | + | 15.6348i | 1.17814 | + | 1.47735i | ||||
\(113\) | 5.38740 | − | 6.75558i | 0.506804 | − | 0.635512i | −0.460945 | − | 0.887429i | \(-0.652490\pi\) |
0.967749 | + | 0.251917i | \(0.0810610\pi\) | |||||||
\(114\) | 1.48039 | + | 0.712916i | 0.138651 | + | 0.0667707i | ||||
\(115\) | −1.47650 | −0.137684 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −14.5308 | −1.34337 | ||||||||
\(118\) | −14.7899 | − | 7.12242i | −1.36152 | − | 0.655672i | ||||
\(119\) | −2.80194 | + | 3.51352i | −0.256853 | + | 0.322084i | ||||
\(120\) | 0.134375 | + | 0.168501i | 0.0122667 | + | 0.0153820i | ||||
\(121\) | 2.27144 | + | 1.09387i | 0.206494 | + | 0.0994425i | ||||
\(122\) | −9.82036 | + | 4.72923i | −0.889093 | + | 0.428165i | ||||
\(123\) | 0.109916 | − | 0.137831i | 0.00991082 | − | 0.0124278i | ||||
\(124\) | 1.76391 | + | 7.72818i | 0.158403 | + | 0.694011i | ||||
\(125\) | 0.784052 | + | 3.43516i | 0.0701278 | + | 0.307250i | ||||
\(126\) | −12.7458 | − | 15.9827i | −1.13548 | − | 1.42385i | ||||
\(127\) | −2.33028 | + | 10.2096i | −0.206779 | + | 0.905958i | 0.759915 | + | 0.650023i | \(0.225241\pi\) |
−0.966694 | + | 0.255935i | \(0.917617\pi\) | |||||||
\(128\) | −10.0858 | −0.891463 | ||||||||
\(129\) | −0.568532 | + | 2.49090i | −0.0500564 | + | 0.219312i | ||||
\(130\) | 3.00484 | − | 1.44706i | 0.263542 | − | 0.126915i | ||||
\(131\) | 0.409698 | − | 0.197300i | 0.0357955 | − | 0.0172382i | −0.415900 | − | 0.909410i | \(-0.636534\pi\) |
0.451696 | + | 0.892172i | \(0.350819\pi\) | |||||||
\(132\) | −0.359584 | + | 1.57544i | −0.0312978 | + | 0.137125i | ||||
\(133\) | −8.29590 | −0.719345 | ||||||||
\(134\) | 0.150104 | − | 0.657650i | 0.0129670 | − | 0.0568123i | ||||
\(135\) | −0.574572 | − | 0.720491i | −0.0494513 | − | 0.0620100i | ||||
\(136\) | −0.335126 | − | 1.46828i | −0.0287368 | − | 0.125904i | ||||
\(137\) | 2.94624 | + | 12.9083i | 0.251714 | + | 1.10283i | 0.929863 | + | 0.367907i | \(0.119925\pi\) |
−0.678149 | + | 0.734925i | \(0.737217\pi\) | |||||||
\(138\) | 2.06853 | − | 2.59386i | 0.176085 | − | 0.220804i | ||||
\(139\) | 2.51961 | − | 1.21338i | 0.213711 | − | 0.102918i | −0.323966 | − | 0.946069i | \(-0.605016\pi\) |
0.537677 | + | 0.843151i | \(0.319302\pi\) | |||||||
\(140\) | 1.62349 | + | 0.781831i | 0.137210 | + | 0.0660768i | ||||
\(141\) | −2.16487 | − | 2.71467i | −0.182315 | − | 0.228616i | ||||
\(142\) | 12.8143 | − | 16.0686i | 1.07535 | − | 1.34845i | ||||
\(143\) | −13.6054 | − | 6.55200i | −1.13774 | − | 0.547906i | ||||
\(144\) | 13.8388 | 1.15323 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 16.1250 | 1.33451 | ||||||||
\(147\) | −3.76659 | − | 1.81390i | −0.310663 | − | 0.149608i | ||||
\(148\) | −2.26391 | + | 2.83885i | −0.186092 | + | 0.233352i | ||||
\(149\) | 1.68867 | + | 2.11752i | 0.138341 | + | 0.173474i | 0.846176 | − | 0.532904i | \(-0.178899\pi\) |
−0.707835 | + | 0.706378i | \(0.750328\pi\) | |||||||
\(150\) | −3.52057 | − | 1.69542i | −0.287454 | − | 0.138430i | ||||
\(151\) | 2.19418 | − | 1.05666i | 0.178560 | − | 0.0859898i | −0.342468 | − | 0.939529i | \(-0.611263\pi\) |
0.521028 | + | 0.853540i | \(0.325549\pi\) | |||||||
\(152\) | 1.73341 | − | 2.17362i | 0.140598 | − | 0.176304i | ||||
\(153\) | 0.692021 | + | 3.03194i | 0.0559466 | + | 0.245118i | ||||
\(154\) | −4.72737 | − | 20.7119i | −0.380942 | − | 1.66902i | ||||
\(155\) | −1.41454 | − | 1.77378i | −0.113619 | − | 0.142473i | ||||
\(156\) | −0.640416 | + | 2.80584i | −0.0512743 | + | 0.224647i | ||||
\(157\) | 17.6775 | 1.41082 | 0.705411 | − | 0.708799i | \(-0.250762\pi\) | ||||
0.705411 | + | 0.708799i | \(0.250762\pi\) | |||||||
\(158\) | −0.238250 | + | 1.04384i | −0.0189542 | + | 0.0830437i | ||||
\(159\) | 1.74698 | − | 0.841301i | 0.138544 | − | 0.0667195i | ||||
\(160\) | −1.98911 | + | 0.957907i | −0.157253 | + | 0.0757292i | ||||
\(161\) | −3.72737 | + | 16.3307i | −0.293758 | + | 1.28704i | ||||
\(162\) | −13.0761 | −1.02735 | ||||||||
\(163\) | 1.10507 | − | 4.84164i | 0.0865559 | − | 0.379226i | −0.913033 | − | 0.407885i | \(-0.866266\pi\) |
0.999589 | + | 0.0286587i | \(0.00912360\pi\) | |||||||
\(164\) | 0.307979 | + | 0.386193i | 0.0240491 | + | 0.0301566i | ||||
\(165\) | −0.102916 | − | 0.450904i | −0.00801200 | − | 0.0351029i | ||||
\(166\) | −3.78232 | − | 16.5714i | −0.293565 | − | 1.28619i | ||||
\(167\) | 9.01842 | − | 11.3087i | 0.697866 | − | 0.875096i | −0.298996 | − | 0.954254i | \(-0.596652\pi\) |
0.996862 | + | 0.0791579i | \(0.0252231\pi\) | |||||||
\(168\) | 2.20291 | − | 1.06086i | 0.169958 | − | 0.0818474i | ||||
\(169\) | −12.5184 | − | 6.02855i | −0.962955 | − | 0.463735i | ||||
\(170\) | −0.445042 | − | 0.558065i | −0.0341332 | − | 0.0428016i | ||||
\(171\) | −3.57942 | + | 4.48845i | −0.273725 | + | 0.343240i | ||||
\(172\) | −6.44989 | − | 3.10610i | −0.491799 | − | 0.236838i | ||||
\(173\) | 10.5133 | 0.799314 | 0.399657 | − | 0.916665i | \(-0.369129\pi\) | ||||
0.399657 | + | 0.916665i | \(0.369129\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 19.7289 | 1.49136 | ||||||||
\(176\) | 12.9574 | + | 6.23996i | 0.976702 | + | 0.470355i | ||||
\(177\) | −2.52781 | + | 3.16977i | −0.190002 | + | 0.238255i | ||||
\(178\) | −1.59903 | − | 2.00512i | −0.119852 | − | 0.150290i | ||||
\(179\) | 5.17241 | + | 2.49090i | 0.386604 | + | 0.186179i | 0.617082 | − | 0.786899i | \(-0.288315\pi\) |
−0.230478 | + | 0.973078i | \(0.574029\pi\) | |||||||
\(180\) | 1.12349 | − | 0.541044i | 0.0837400 | − | 0.0403271i | ||||
\(181\) | −4.14042 | + | 5.19192i | −0.307755 | + | 0.385912i | −0.911524 | − | 0.411247i | \(-0.865093\pi\) |
0.603769 | + | 0.797159i | \(0.293665\pi\) | |||||||
\(182\) | −8.41939 | − | 36.8877i | −0.624086 | − | 2.73430i | ||||
\(183\) | 0.599031 | + | 2.62453i | 0.0442817 | + | 0.194011i | ||||
\(184\) | −3.50000 | − | 4.38886i | −0.258023 | − | 0.323551i | ||||
\(185\) | 0.231250 | − | 1.01317i | 0.0170018 | − | 0.0744900i | ||||
\(186\) | 5.09783 | 0.373791 | ||||||||
\(187\) | −0.719169 | + | 3.15088i | −0.0525908 | + | 0.230415i | ||||
\(188\) | 8.76540 | − | 4.22119i | 0.639282 | − | 0.307862i | ||||
\(189\) | −9.41939 | + | 4.53614i | −0.685160 | + | 0.329955i | ||||
\(190\) | 0.293209 | − | 1.28463i | 0.0212716 | − | 0.0931969i | ||||
\(191\) | −18.8116 | −1.36116 | −0.680581 | − | 0.732673i | \(-0.738272\pi\) | ||||
−0.680581 | + | 0.732673i | \(0.738272\pi\) | |||||||
\(192\) | 0.125646 | − | 0.550490i | 0.00906770 | − | 0.0397282i | ||||
\(193\) | 6.78650 | + | 8.51001i | 0.488503 | + | 0.612564i | 0.963593 | − | 0.267374i | \(-0.0861558\pi\) |
−0.475090 | + | 0.879937i | \(0.657584\pi\) | |||||||
\(194\) | 6.31551 | + | 27.6701i | 0.453427 | + | 1.98659i | ||||
\(195\) | −0.183292 | − | 0.803056i | −0.0131258 | − | 0.0575080i | ||||
\(196\) | 7.30343 | − | 9.15821i | 0.521674 | − | 0.654158i | ||||
\(197\) | 7.56853 | − | 3.64481i | 0.539236 | − | 0.259682i | −0.144383 | − | 0.989522i | \(-0.546120\pi\) |
0.683618 | + | 0.729840i | \(0.260405\pi\) | |||||||
\(198\) | −13.2458 | − | 6.37883i | −0.941337 | − | 0.453324i | ||||
\(199\) | −4.12833 | − | 5.17677i | −0.292650 | − | 0.366971i | 0.613671 | − | 0.789562i | \(-0.289692\pi\) |
−0.906321 | + | 0.422591i | \(0.861121\pi\) | |||||||
\(200\) | −4.12229 | + | 5.16919i | −0.291490 | + | 0.365517i | ||||
\(201\) | −0.150104 | − | 0.0722865i | −0.0105875 | − | 0.00509869i | ||||
\(202\) | 31.4306 | 2.21145 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0.615957 | 0.0431256 | ||||||||
\(205\) | −0.127375 | − | 0.0613404i | −0.00889623 | − | 0.00428420i | ||||
\(206\) | 3.16152 | − | 3.96442i | 0.220274 | − | 0.276214i | ||||
\(207\) | 7.22737 | + | 9.06283i | 0.502337 | + | 0.629910i | ||||
\(208\) | 23.0770 | + | 11.1133i | 1.60010 | + | 0.770569i | ||||
\(209\) | −5.37531 | + | 2.58861i | −0.371818 | + | 0.179058i | ||||
\(210\) | 0.722521 | − | 0.906013i | 0.0498587 | − | 0.0625208i | ||||
\(211\) | 1.80247 | + | 7.89714i | 0.124087 | + | 0.543661i | 0.998309 | + | 0.0581343i | \(0.0185152\pi\) |
−0.874222 | + | 0.485527i | \(0.838628\pi\) | |||||||
\(212\) | 1.20895 | + | 5.29674i | 0.0830308 | + | 0.363782i | ||||
\(213\) | −3.16487 | − | 3.96863i | −0.216854 | − | 0.271926i | ||||
\(214\) | −2.99127 | + | 13.1056i | −0.204479 | + | 0.895881i | ||||
\(215\) | 2.04892 | 0.139735 | ||||||||
\(216\) | 0.779635 | − | 3.41580i | 0.0530474 | − | 0.232416i | ||||
\(217\) | −23.1896 | + | 11.1675i | −1.57421 | + | 0.758102i | ||||
\(218\) | −2.68329 | + | 1.29221i | −0.181735 | + | 0.0875192i | ||||
\(219\) | 0.886199 | − | 3.88269i | 0.0598838 | − | 0.262368i | ||||
\(220\) | 1.29590 | 0.0873694 | ||||||||
\(221\) | −1.28083 | + | 5.61169i | −0.0861580 | + | 0.377483i | ||||
\(222\) | 1.45593 | + | 1.82567i | 0.0977154 | + | 0.122531i | ||||
\(223\) | −4.87747 | − | 21.3696i | −0.326620 | − | 1.43101i | −0.825529 | − | 0.564360i | \(-0.809123\pi\) |
0.498910 | − | 0.866654i | \(-0.333734\pi\) | |||||||
\(224\) | 5.57338 | + | 24.4186i | 0.372387 | + | 1.63153i | ||||
\(225\) | 8.51238 | − | 10.6742i | 0.567492 | − | 0.711612i | ||||
\(226\) | 14.0281 | − | 6.75558i | 0.933136 | − | 0.449375i | ||||
\(227\) | 16.4683 | + | 7.93072i | 1.09304 | + | 0.526380i | 0.891463 | − | 0.453093i | \(-0.149679\pi\) |
0.201576 | + | 0.979473i | \(0.435394\pi\) | |||||||
\(228\) | 0.708947 | + | 0.888992i | 0.0469512 | + | 0.0588749i | ||||
\(229\) | 9.99127 | − | 12.5287i | 0.660242 | − | 0.827917i | −0.333128 | − | 0.942882i | \(-0.608104\pi\) |
0.993370 | + | 0.114965i | \(0.0366755\pi\) | |||||||
\(230\) | −2.39708 | − | 1.15437i | −0.158059 | − | 0.0761172i | ||||
\(231\) | −5.24698 | −0.345226 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1.95646 | 0.128172 | 0.0640860 | − | 0.997944i | \(-0.479587\pi\) | ||||
0.0640860 | + | 0.997944i | \(0.479587\pi\) | |||||||
\(234\) | −23.5906 | − | 11.3606i | −1.54217 | − | 0.742668i | ||||
\(235\) | −1.73609 | + | 2.17699i | −0.113250 | + | 0.142011i | ||||
\(236\) | −7.08277 | − | 8.88151i | −0.461049 | − | 0.578137i | ||||
\(237\) | 0.238250 | + | 0.114735i | 0.0154760 | + | 0.00745286i | ||||
\(238\) | −7.29590 | + | 3.51352i | −0.472923 | + | 0.227748i | ||||
\(239\) | −5.58844 | + | 7.00768i | −0.361486 | + | 0.453289i | −0.929003 | − | 0.370073i | \(-0.879333\pi\) |
0.567517 | + | 0.823362i | \(0.307904\pi\) | |||||||
\(240\) | 0.174563 | + | 0.764811i | 0.0112680 | + | 0.0493683i | ||||
\(241\) | −4.42812 | − | 19.4008i | −0.285240 | − | 1.24972i | −0.890975 | − | 0.454052i | \(-0.849978\pi\) |
0.605735 | − | 0.795666i | \(-0.292879\pi\) | |||||||
\(242\) | 2.83244 | + | 3.55176i | 0.182076 | + | 0.228316i | ||||
\(243\) | −2.44235 | + | 10.7006i | −0.156677 | + | 0.686447i | ||||
\(244\) | −7.54288 | −0.482883 | ||||||||
\(245\) | −0.746020 | + | 3.26853i | −0.0476615 | + | 0.208819i | ||||
\(246\) | 0.286208 | − | 0.137831i | 0.0182480 | − | 0.00878776i | ||||
\(247\) | −9.57338 | + | 4.61029i | −0.609139 | + | 0.293346i | ||||
\(248\) | 1.91939 | − | 8.40938i | 0.121881 | − | 0.533996i | ||||
\(249\) | −4.19806 | −0.266041 | ||||||||
\(250\) | −1.41281 | + | 6.18994i | −0.0893542 | + | 0.391486i | ||||
\(251\) | 16.0891 | + | 20.1751i | 1.01554 | + | 1.27344i | 0.961472 | + | 0.274904i | \(0.0886459\pi\) |
0.0540635 | + | 0.998537i | \(0.482783\pi\) | |||||||
\(252\) | −3.14795 | − | 13.7921i | −0.198302 | − | 0.868818i | ||||
\(253\) | 2.68060 | + | 11.7445i | 0.168528 | + | 0.738370i | ||||
\(254\) | −11.7654 | + | 14.7533i | −0.738227 | + | 0.925707i | ||||
\(255\) | −0.158834 | + | 0.0764902i | −0.00994655 | + | 0.00479000i | ||||
\(256\) | −18.6603 | − | 8.98634i | −1.16627 | − | 0.561646i | ||||
\(257\) | 7.45138 | + | 9.34373i | 0.464804 | + | 0.582846i | 0.957890 | − | 0.287134i | \(-0.0927027\pi\) |
−0.493086 | + | 0.869981i | \(0.664131\pi\) | |||||||
\(258\) | −2.87047 | + | 3.59945i | −0.178708 | + | 0.224092i | ||||
\(259\) | −10.6223 | − | 5.11543i | −0.660037 | − | 0.317857i | ||||
\(260\) | 2.30798 | 0.143135 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.819396 | 0.0506225 | ||||||||
\(263\) | 0.299782 | + | 0.144367i | 0.0184853 | + | 0.00890207i | 0.443104 | − | 0.896470i | \(-0.353877\pi\) |
−0.424618 | + | 0.905372i | \(0.639592\pi\) | |||||||
\(264\) | 1.09634 | − | 1.37477i | 0.0674752 | − | 0.0846113i | ||||
\(265\) | −0.969501 | − | 1.21572i | −0.0595559 | − | 0.0746808i | ||||
\(266\) | −13.4683 | − | 6.48599i | −0.825795 | − | 0.397682i | ||||
\(267\) | −0.570688 | + | 0.274829i | −0.0349255 | + | 0.0168192i | ||||
\(268\) | 0.291053 | − | 0.364968i | 0.0177789 | − | 0.0222940i | ||||
\(269\) | 0.236758 | + | 1.03731i | 0.0144354 | + | 0.0632457i | 0.981633 | − | 0.190781i | \(-0.0611020\pi\) |
−0.967197 | + | 0.254027i | \(0.918245\pi\) | |||||||
\(270\) | −0.369510 | − | 1.61893i | −0.0224877 | − | 0.0985249i | ||||
\(271\) | −10.2654 | − | 12.8724i | −0.623578 | − | 0.781943i | 0.365265 | − | 0.930904i | \(-0.380979\pi\) |
−0.988843 | + | 0.148961i | \(0.952407\pi\) | |||||||
\(272\) | 1.21983 | − | 5.34444i | 0.0739632 | − | 0.324054i | ||||
\(273\) | −9.34481 | −0.565574 | ||||||||
\(274\) | −5.30894 | + | 23.2600i | −0.320725 | + | 1.40519i | ||||
\(275\) | 12.7833 | − | 6.15610i | 0.770861 | − | 0.371227i | ||||
\(276\) | 2.06853 | − | 0.996152i | 0.124511 | − | 0.0599613i | ||||
\(277\) | −1.46734 | + | 6.42886i | −0.0881642 | + | 0.386273i | −0.999688 | − | 0.0249745i | \(-0.992050\pi\) |
0.911524 | + | 0.411247i | \(0.134907\pi\) | |||||||
\(278\) | 5.03923 | 0.302233 | ||||||||
\(279\) | −3.96346 | + | 17.3651i | −0.237286 | + | 1.03962i | ||||
\(280\) | −1.22252 | − | 1.53299i | −0.0730596 | − | 0.0916138i | ||||
\(281\) | 6.79470 | + | 29.7695i | 0.405338 | + | 1.77590i | 0.605196 | + | 0.796076i | \(0.293095\pi\) |
−0.199858 | + | 0.979825i | \(0.564048\pi\) | |||||||
\(282\) | −1.39224 | − | 6.09980i | −0.0829067 | − | 0.363238i | ||||
\(283\) | −2.21648 | + | 2.77938i | −0.131756 | + | 0.165217i | −0.843333 | − | 0.537391i | \(-0.819410\pi\) |
0.711577 | + | 0.702608i | \(0.247981\pi\) | |||||||
\(284\) | 12.8143 | − | 6.17105i | 0.760390 | − | 0.366184i | ||||
\(285\) | −0.293209 | − | 0.141202i | −0.0173682 | − | 0.00836407i | ||||
\(286\) | −16.9656 | − | 21.2742i | −1.00320 | − | 1.25797i | ||||
\(287\) | −1.00000 | + | 1.25396i | −0.0590281 | + | 0.0740189i | ||||
\(288\) | 15.6163 | + | 7.52039i | 0.920197 | + | 0.443143i | ||||
\(289\) | −15.7681 | −0.927534 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.00969 | 0.410915 | ||||||||
\(292\) | 10.0538 | + | 4.84164i | 0.588352 | + | 0.283335i | ||||
\(293\) | 20.5003 | − | 25.7066i | 1.19764 | − | 1.50179i | 0.381071 | − | 0.924546i | \(-0.375555\pi\) |
0.816569 | − | 0.577247i | \(-0.195873\pi\) | |||||||
\(294\) | −4.69687 | − | 5.88968i | −0.273927 | − | 0.343493i | ||||
\(295\) | 2.92931 | + | 1.41068i | 0.170551 | + | 0.0821331i | ||||
\(296\) | 3.55980 | − | 1.71431i | 0.206909 | − | 0.0996423i | ||||
\(297\) | −4.68784 | + | 5.87837i | −0.272016 | + | 0.341097i | ||||
\(298\) | 1.08599 | + | 4.75803i | 0.0629097 | + | 0.275625i | ||||
\(299\) | 4.77413 | + | 20.9168i | 0.276095 | + | 1.20965i | ||||
\(300\) | −1.68598 | − | 2.11415i | −0.0973401 | − | 0.122061i | ||||
\(301\) | 5.17241 | − | 22.6618i | 0.298133 | − | 1.30620i | ||||
\(302\) | 4.38835 | 0.252521 | ||||||||
\(303\) | 1.72737 | − | 7.56808i | 0.0992345 | − | 0.434775i | ||||
\(304\) | 9.11745 | − | 4.39073i | 0.522922 | − | 0.251826i | ||||
\(305\) | 1.94504 | − | 0.936683i | 0.111373 | − | 0.0536343i | ||||
\(306\) | −1.24698 | + | 5.46337i | −0.0712851 | + | 0.312320i | ||||
\(307\) | 14.6703 | 0.837275 | 0.418638 | − | 0.908153i | \(-0.362508\pi\) | ||||
0.418638 | + | 0.908153i | \(0.362508\pi\) | |||||||
\(308\) | 3.27144 | − | 14.3331i | 0.186407 | − | 0.816705i | ||||
\(309\) | −0.780831 | − | 0.979132i | −0.0444199 | − | 0.0557009i | ||||
\(310\) | −0.909698 | − | 3.98565i | −0.0516674 | − | 0.226370i | ||||
\(311\) | −4.12253 | − | 18.0620i | −0.233767 | − | 1.02420i | −0.946484 | − | 0.322750i | \(-0.895393\pi\) |
0.712717 | − | 0.701452i | \(-0.247464\pi\) | |||||||
\(312\) | 1.95257 | − | 2.44845i | 0.110543 | − | 0.138616i | ||||
\(313\) | −20.7153 | + | 9.97595i | −1.17090 | + | 0.563874i | −0.915246 | − | 0.402895i | \(-0.868004\pi\) |
−0.255651 | + | 0.966769i | \(0.582290\pi\) | |||||||
\(314\) | 28.6993 | + | 13.8209i | 1.61960 | + | 0.779956i | ||||
\(315\) | 2.52446 | + | 3.16557i | 0.142237 | + | 0.178360i | ||||
\(316\) | −0.461968 | + | 0.579289i | −0.0259877 | + | 0.0325876i | ||||
\(317\) | −12.6664 | − | 6.09980i | −0.711414 | − | 0.342599i | 0.0429302 | − | 0.999078i | \(-0.486331\pi\) |
−0.754344 | + | 0.656479i | \(0.772045\pi\) | |||||||
\(318\) | 3.49396 | 0.195932 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −0.452812 | −0.0253129 | ||||||||
\(321\) | 2.99127 | + | 1.44052i | 0.166956 | + | 0.0804020i | ||||
\(322\) | −18.8192 | + | 23.5985i | −1.04875 | + | 1.31509i | ||||
\(323\) | 1.41789 | + | 1.77798i | 0.0788938 | + | 0.0989297i | ||||
\(324\) | −8.15279 | − | 3.92618i | −0.452933 | − | 0.218121i | ||||
\(325\) | 22.7669 | − | 10.9640i | 1.26288 | − | 0.608171i | ||||
\(326\) | 5.57942 | − | 6.99637i | 0.309015 | − | 0.387493i | ||||
\(327\) | 0.163678 | + | 0.717120i | 0.00905141 | + | 0.0396568i | ||||
\(328\) | −0.119605 | − | 0.524023i | −0.00660408 | − | 0.0289344i | ||||
\(329\) | 19.6957 | + | 24.6976i | 1.08586 | + | 1.36162i | ||||
\(330\) | 0.185448 | − | 0.812502i | 0.0102086 | − | 0.0447267i | ||||
\(331\) | 13.9565 | 0.767116 | 0.383558 | − | 0.923517i | \(-0.374699\pi\) | ||||
0.383558 | + | 0.923517i | \(0.374699\pi\) | |||||||
\(332\) | 2.61745 | − | 11.4678i | 0.143651 | − | 0.629377i | ||||
\(333\) | −7.35086 | + | 3.53999i | −0.402824 | + | 0.193990i | ||||
\(334\) | 23.4828 | − | 11.3087i | 1.28492 | − | 0.618787i | ||||
\(335\) | −0.0297300 | + | 0.130256i | −0.00162432 | + | 0.00711663i | ||||
\(336\) | 8.89977 | 0.485522 | ||||||||
\(337\) | 3.11476 | − | 13.6467i | 0.169672 | − | 0.743381i | −0.816458 | − | 0.577405i | \(-0.804065\pi\) |
0.986130 | − | 0.165976i | \(-0.0530774\pi\) | |||||||
\(338\) | −15.6102 | − | 19.5746i | −0.849084 | − | 1.06472i | ||||
\(339\) | −0.855699 | − | 3.74906i | −0.0464752 | − | 0.203621i | ||||
\(340\) | −0.109916 | − | 0.481575i | −0.00596105 | − | 0.0261171i | ||||
\(341\) | −11.5410 | + | 14.4720i | −0.624981 | + | 0.783701i | ||||
\(342\) | −9.32036 | + | 4.48845i | −0.503987 | + | 0.242707i | ||||
\(343\) | 8.73221 | + | 4.20521i | 0.471495 | + | 0.227060i | ||||
\(344\) | 4.85690 | + | 6.09035i | 0.261866 | + | 0.328370i | ||||
\(345\) | −0.409698 | + | 0.513745i | −0.0220574 | + | 0.0276591i | ||||
\(346\) | 17.0683 | + | 8.21966i | 0.917597 | + | 0.441892i | ||||
\(347\) | −19.8538 | −1.06581 | −0.532905 | − | 0.846175i | \(-0.678900\pi\) | ||||
−0.532905 | + | 0.846175i | \(0.678900\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −26.9202 | −1.44101 | −0.720503 | − | 0.693452i | \(-0.756089\pi\) | ||||
−0.720503 | + | 0.693452i | \(0.756089\pi\) | |||||||
\(350\) | 32.0296 | + | 15.4246i | 1.71205 | + | 0.824482i | ||||
\(351\) | −8.34899 | + | 10.4693i | −0.445636 | + | 0.558810i | ||||
\(352\) | 11.2307 | + | 14.0829i | 0.598599 | + | 0.750620i | ||||
\(353\) | 3.61745 | + | 1.74207i | 0.192537 | + | 0.0927211i | 0.527669 | − | 0.849450i | \(-0.323066\pi\) |
−0.335131 | + | 0.942171i | \(0.608781\pi\) | |||||||
\(354\) | −6.58211 | + | 3.16977i | −0.349835 | + | 0.168472i | ||||
\(355\) | −2.53803 | + | 3.18259i | −0.134705 | + | 0.168914i | ||||
\(356\) | −0.394928 | − | 1.73029i | −0.0209311 | − | 0.0917053i | ||||
\(357\) | 0.445042 | + | 1.94986i | 0.0235541 | + | 0.103197i | ||||
\(358\) | 6.44989 | + | 8.08790i | 0.340887 | + | 0.427459i | ||||
\(359\) | 0.166071 | − | 0.727604i | 0.00876488 | − | 0.0384015i | −0.970356 | − | 0.241679i | \(-0.922302\pi\) |
0.979121 | + | 0.203277i | \(0.0651592\pi\) | |||||||
\(360\) | −1.35690 | −0.0715147 | ||||||||
\(361\) | 3.29374 | − | 14.4308i | 0.173355 | − | 0.759517i | ||||
\(362\) | −10.7811 | + | 5.19192i | −0.566643 | + | 0.272881i | ||||
\(363\) | 1.01089 | − | 0.486817i | 0.0530577 | − | 0.0255512i | ||||
\(364\) | 5.82640 | − | 25.5271i | 0.305386 | − | 1.33798i | ||||
\(365\) | −3.19375 | −0.167169 | ||||||||
\(366\) | −1.07942 | + | 4.72923i | −0.0564220 | + | 0.247201i | ||||
\(367\) | −21.2292 | − | 26.6205i | −1.10815 | − | 1.38958i | −0.912584 | − | 0.408890i | \(-0.865916\pi\) |
−0.195569 | − | 0.980690i | \(-0.562655\pi\) | |||||||
\(368\) | −4.54676 | − | 19.9207i | −0.237016 | − | 1.03844i | ||||
\(369\) | 0.246980 | + | 1.08209i | 0.0128572 | + | 0.0563313i | ||||
\(370\) | 1.16756 | − | 1.46408i | 0.0606987 | − | 0.0761138i | ||||
\(371\) | −15.8937 | + | 7.65402i | −0.825161 | + | 0.397377i | ||||
\(372\) | 3.17845 | + | 1.53066i | 0.164795 | + | 0.0793610i | ||||
\(373\) | 17.4581 | + | 21.8917i | 0.903945 | + | 1.13351i | 0.990534 | + | 0.137267i | \(0.0438320\pi\) |
−0.0865888 | + | 0.996244i | \(0.527597\pi\) | |||||||
\(374\) | −3.63102 | + | 4.55316i | −0.187756 | + | 0.235438i | ||||
\(375\) | 1.41281 | + | 0.680375i | 0.0729574 | + | 0.0351344i | ||||
\(376\) | −10.5864 | −0.545953 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −18.8388 | −0.968962 | ||||||||
\(379\) | −20.6151 | − | 9.92769i | −1.05892 | − | 0.509951i | −0.178403 | − | 0.983958i | \(-0.557093\pi\) |
−0.880521 | + | 0.474006i | \(0.842807\pi\) | |||||||
\(380\) | 0.568532 | − | 0.712916i | 0.0291651 | − | 0.0365718i | ||||
\(381\) | 2.90581 | + | 3.64377i | 0.148869 | + | 0.186676i | ||||
\(382\) | −30.5405 | − | 14.7075i | −1.56259 | − | 0.752502i | ||||
\(383\) | −10.6838 | + | 5.14506i | −0.545918 | + | 0.262900i | −0.686451 | − | 0.727176i | \(-0.740833\pi\) |
0.140533 | + | 0.990076i | \(0.455118\pi\) | |||||||
\(384\) | −2.79859 | + | 3.50932i | −0.142815 | + | 0.179084i | ||||
\(385\) | 0.936313 | + | 4.10225i | 0.0477189 | + | 0.209070i | ||||
\(386\) | 4.36443 | + | 19.1218i | 0.222144 | + | 0.973275i | ||||
\(387\) | −10.0293 | − | 12.5763i | −0.509818 | − | 0.639292i | ||||
\(388\) | −4.37047 | + | 19.1483i | −0.221877 | + | 0.972107i | ||||
\(389\) | −10.3913 | −0.526862 | −0.263431 | − | 0.964678i | \(-0.584854\pi\) | ||||
−0.263431 | + | 0.964678i | \(0.584854\pi\) | |||||||
\(390\) | 0.330281 | − | 1.44706i | 0.0167244 | − | 0.0732746i | ||||
\(391\) | 4.13706 | − | 1.99230i | 0.209220 | − | 0.100755i | ||||
\(392\) | −11.4840 | + | 5.53042i | −0.580031 | + | 0.279328i | ||||
\(393\) | 0.0450325 | − | 0.197300i | 0.00227159 | − | 0.00995248i | ||||
\(394\) | 15.1371 | 0.762594 | ||||||||
\(395\) | 0.0471884 | − | 0.206746i | 0.00237431 | − | 0.0104025i | ||||
\(396\) | −6.34332 | − | 7.95427i | −0.318764 | − | 0.399717i | ||||
\(397\) | −1.82855 | − | 8.01141i | −0.0917724 | − | 0.402081i | 0.908088 | − | 0.418779i | \(-0.137542\pi\) |
−0.999861 | + | 0.0166978i | \(0.994685\pi\) | |||||||
\(398\) | −2.65495 | − | 11.6321i | −0.133081 | − | 0.583064i | ||||
\(399\) | −2.30194 | + | 2.88654i | −0.115241 | + | 0.144508i | ||||
\(400\) | −21.6826 | + | 10.4418i | −1.08413 | + | 0.522090i | ||||
\(401\) | −22.4170 | − | 10.7955i | −1.11945 | − | 0.539099i | −0.219728 | − | 0.975561i | \(-0.570517\pi\) |
−0.899723 | + | 0.436462i | \(0.856231\pi\) | |||||||
\(402\) | −0.187177 | − | 0.234713i | −0.00933555 | − | 0.0117064i | ||||
\(403\) | −20.5544 | + | 25.7744i | −1.02389 | + | 1.28392i | ||||
\(404\) | 19.5966 | + | 9.43724i | 0.974969 | + | 0.469520i | ||||
\(405\) | 2.58987 | 0.128692 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −8.47889 | −0.420283 | ||||||||
\(408\) | −0.603875 | − | 0.290811i | −0.0298963 | − | 0.0143973i | ||||
\(409\) | 11.7811 | − | 14.7731i | 0.582539 | − | 0.730481i | −0.400004 | − | 0.916513i | \(-0.630991\pi\) |
0.982544 | + | 0.186032i | \(0.0595628\pi\) | |||||||
\(410\) | −0.158834 | − | 0.199171i | −0.00784423 | − | 0.00983636i | ||||
\(411\) | 5.30894 | + | 2.55665i | 0.261871 | + | 0.126110i | ||||
\(412\) | 3.16152 | − | 1.52251i | 0.155757 | − | 0.0750086i | ||||
\(413\) | 22.9976 | − | 28.8381i | 1.13164 | − | 1.41903i | ||||
\(414\) | 4.64795 | + | 20.3640i | 0.228434 | + | 1.00084i | ||||
\(415\) | 0.749136 | + | 3.28218i | 0.0367736 | + | 0.161116i | ||||
\(416\) | 20.0018 | + | 25.0814i | 0.980668 | + | 1.22972i | ||||
\(417\) | 0.276947 | − | 1.21338i | 0.0135621 | − | 0.0594196i | ||||
\(418\) | −10.7506 | −0.525830 | ||||||||
\(419\) | 2.42380 | − | 10.6194i | 0.118411 | − | 0.518791i | −0.880581 | − | 0.473895i | \(-0.842847\pi\) |
0.998992 | − | 0.0448952i | \(-0.0142954\pi\) | |||||||
\(420\) | 0.722521 | − | 0.347948i | 0.0352554 | − | 0.0169781i | ||||
\(421\) | 17.9840 | − | 8.66065i | 0.876488 | − | 0.422094i | 0.0591476 | − | 0.998249i | \(-0.481162\pi\) |
0.817341 | + | 0.576155i | \(0.195447\pi\) | |||||||
\(422\) | −3.24794 | + | 14.2302i | −0.158107 | + | 0.692713i | ||||
\(423\) | 21.8605 | 1.06290 | ||||||||
\(424\) | 1.31551 | − | 5.76363i | 0.0638869 | − | 0.279907i | ||||
\(425\) | −3.37196 | − | 4.22831i | −0.163564 | − | 0.205103i | ||||
\(426\) | −2.03534 | − | 8.91742i | −0.0986127 | − | 0.432051i | ||||
\(427\) | −5.44989 | − | 23.8775i | −0.263738 | − | 1.15551i | ||||
\(428\) | −5.80008 | + | 7.27307i | −0.280357 | + | 0.351557i | ||||
\(429\) | −6.05496 | + | 2.91591i | −0.292336 | + | 0.140782i | ||||
\(430\) | 3.32640 | + | 1.60191i | 0.160413 | + | 0.0772509i | ||||
\(431\) | −18.8233 | − | 23.6037i | −0.906688 | − | 1.13695i | −0.990090 | − | 0.140435i | \(-0.955150\pi\) |
0.0834015 | − | 0.996516i | \(-0.473422\pi\) | |||||||
\(432\) | 7.95138 | − | 9.97071i | 0.382561 | − | 0.479716i | ||||
\(433\) | 18.1918 | + | 8.76070i | 0.874241 | + | 0.421012i | 0.816518 | − | 0.577320i | \(-0.195902\pi\) |
0.0577235 | + | 0.998333i | \(0.481616\pi\) | |||||||
\(434\) | −46.3793 | −2.22628 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.06100 | −0.0987039 | ||||||||
\(437\) | 7.63706 | + | 3.67782i | 0.365330 | + | 0.175934i | ||||
\(438\) | 4.47434 | − | 5.61065i | 0.213792 | − | 0.268087i | ||||
\(439\) | −6.64944 | − | 8.33813i | −0.317360 | − | 0.397957i | 0.597407 | − | 0.801938i | \(-0.296198\pi\) |
−0.914767 | + | 0.403981i | \(0.867626\pi\) | |||||||
\(440\) | −1.27048 | − | 0.611830i | −0.0605677 | − | 0.0291679i | ||||
\(441\) | 23.7141 | − | 11.4201i | 1.12924 | − | 0.543814i | ||||
\(442\) | −6.46681 | + | 8.10913i | −0.307595 | + | 0.385712i | ||||
\(443\) | 4.52834 | + | 19.8400i | 0.215148 | + | 0.942625i | 0.961008 | + | 0.276522i | \(0.0891819\pi\) |
−0.745859 | + | 0.666103i | \(0.767961\pi\) | |||||||
\(444\) | 0.359584 | + | 1.57544i | 0.0170651 | + | 0.0747672i | ||||
\(445\) | 0.316708 | + | 0.397139i | 0.0150134 | + | 0.0188262i | ||||
\(446\) | 8.78890 | − | 38.5067i | 0.416166 | − | 1.82334i | ||||
\(447\) | 1.20536 | 0.0570115 | ||||||||
\(448\) | −1.14310 | + | 5.00827i | −0.0540066 | + | 0.236618i | ||||
\(449\) | −17.4998 | + | 8.42744i | −0.825865 | + | 0.397716i | −0.798563 | − | 0.601912i | \(-0.794406\pi\) |
−0.0273022 | + | 0.999627i | \(0.508692\pi\) | |||||||
\(450\) | 22.1652 | − | 10.6742i | 1.04488 | − | 0.503186i | ||||
\(451\) | −0.256668 | + | 1.12454i | −0.0120860 | + | 0.0529524i | ||||
\(452\) | 10.7748 | 0.506804 | ||||||||
\(453\) | 0.241176 | − | 1.05666i | 0.0113314 | − | 0.0496462i | ||||
\(454\) | 20.5356 | + | 25.7509i | 0.963785 | + | 1.20855i | ||||
\(455\) | 1.66756 | + | 7.30607i | 0.0781765 | + | 0.342514i | ||||
\(456\) | −0.275323 | − | 1.20627i | −0.0128932 | − | 0.0564887i | ||||
\(457\) | −7.74429 | + | 9.71103i | −0.362263 | + | 0.454263i | −0.929243 | − | 0.369468i | \(-0.879540\pi\) |
0.566981 | + | 0.823731i | \(0.308111\pi\) | |||||||
\(458\) | 26.0160 | − | 12.5287i | 1.21565 | − | 0.585426i | ||||
\(459\) | 2.58211 | + | 1.24348i | 0.120522 | + | 0.0580405i | ||||
\(460\) | −1.14795 | − | 1.43948i | −0.0535234 | − | 0.0671162i | ||||
\(461\) | −13.6833 | + | 17.1583i | −0.637294 | + | 0.799142i | −0.990662 | − | 0.136343i | \(-0.956465\pi\) |
0.353367 | + | 0.935485i | \(0.385037\pi\) | |||||||
\(462\) | −8.51842 | − | 4.10225i | −0.396313 | − | 0.190854i | ||||
\(463\) | −33.0073 | −1.53398 | −0.766990 | − | 0.641660i | \(-0.778246\pi\) | ||||
−0.766990 | + | 0.641660i | \(0.778246\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −1.00969 | −0.0468232 | ||||||||
\(466\) | 3.17629 | + | 1.52962i | 0.147139 | + | 0.0708584i | ||||
\(467\) | −16.2751 | + | 20.4083i | −0.753121 | + | 0.944384i | −0.999694 | − | 0.0247402i | \(-0.992124\pi\) |
0.246573 | + | 0.969124i | \(0.420696\pi\) | |||||||
\(468\) | −11.2974 | − | 14.1665i | −0.522222 | − | 0.654846i | ||||
\(469\) | 1.36563 | + | 0.657650i | 0.0630587 | + | 0.0303675i | ||||
\(470\) | −4.52057 | + | 2.17699i | −0.208519 | + | 0.100417i | ||||
\(471\) | 4.90515 | − | 6.15086i | 0.226017 | − | 0.283417i | ||||
\(472\) | 2.75063 | + | 12.0513i | 0.126608 | + | 0.554705i | ||||
\(473\) | −3.71983 | − | 16.2977i | −0.171038 | − | 0.749367i | ||||
\(474\) | 0.297093 | + | 0.372543i | 0.0136460 | + | 0.0171115i | ||||
\(475\) | 2.22156 | − | 9.73330i | 0.101932 | − | 0.446594i | ||||
\(476\) | −5.60388 | −0.256853 | ||||||||
\(477\) | −2.71648 | + | 11.9017i | −0.124379 | + | 0.544940i | ||||
\(478\) | −14.5516 | + | 7.00768i | −0.665575 | + | 0.320524i | ||||
\(479\) | −29.7913 | + | 14.3468i | −1.36120 | + | 0.655520i | −0.964904 | − | 0.262602i | \(-0.915419\pi\) |
−0.396297 | + | 0.918122i | \(0.629705\pi\) | |||||||
\(480\) | −0.218636 | + | 0.957907i | −0.00997933 | + | 0.0437223i | ||||
\(481\) | −15.1008 | −0.688538 | ||||||||
\(482\) | 7.97919 | − | 34.9591i | 0.363442 | − | 1.59234i | ||||
\(483\) | 4.64795 | + | 5.82834i | 0.211489 | + | 0.265199i | ||||
\(484\) | 0.699554 | + | 3.06495i | 0.0317979 | + | 0.139316i | ||||
\(485\) | −1.25086 | − | 5.48040i | −0.0567988 | − | 0.248852i | ||||
\(486\) | −12.3312 | + | 15.4629i | −0.559356 | + | 0.701411i | ||||
\(487\) | 9.15064 | − | 4.40671i | 0.414655 | − | 0.199687i | −0.214912 | − | 0.976633i | \(-0.568947\pi\) |
0.629567 | + | 0.776946i | \(0.283232\pi\) | |||||||
\(488\) | 7.39493 | + | 3.56121i | 0.334753 | + | 0.161208i | ||||
\(489\) | −1.37800 | − | 1.72796i | −0.0623154 | − | 0.0781411i | ||||
\(490\) | −3.76659 | + | 4.72316i | −0.170157 | + | 0.213371i | ||||
\(491\) | 17.7327 | + | 8.53964i | 0.800267 | + | 0.385388i | 0.788880 | − | 0.614547i | \(-0.210661\pi\) |
0.0113870 | + | 0.999935i | \(0.496375\pi\) | |||||||
\(492\) | 0.219833 | 0.00991082 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | −19.1468 | −0.861453 | ||||||||
\(495\) | 2.62349 | + | 1.26341i | 0.117917 | + | 0.0567859i | ||||
\(496\) | 19.5755 | − | 24.5469i | 0.878967 | − | 1.10219i | ||||
\(497\) | 28.7935 | + | 36.1059i | 1.29157 | + | 1.61957i | ||||
\(498\) | −6.81551 | − | 3.28218i | −0.305410 | − | 0.147078i | ||||
\(499\) | −25.0916 | + | 12.0835i | −1.12325 | + | 0.540930i | −0.900896 | − | 0.434036i | \(-0.857089\pi\) |
−0.222357 | + | 0.974965i | \(0.571375\pi\) | |||||||
\(500\) | −2.73945 | + | 3.43516i | −0.122512 | + | 0.153625i | ||||
\(501\) | −1.43243 | − | 6.27588i | −0.0639962 | − | 0.280385i | ||||
\(502\) | 10.3470 | + | 45.3330i | 0.461808 | + | 2.02331i | ||||
\(503\) | −0.140416 | − | 0.176076i | −0.00626083 | − | 0.00785083i | 0.778691 | − | 0.627407i | \(-0.215884\pi\) |
−0.784952 | + | 0.619557i | \(0.787312\pi\) | |||||||
\(504\) | −3.42543 | + | 15.0078i | −0.152581 | + | 0.668500i | ||||
\(505\) | −6.22521 | −0.277018 | ||||||||
\(506\) | −4.83028 | + | 21.1628i | −0.214732 | + | 0.940803i | ||||
\(507\) | −5.57122 | + | 2.68296i | −0.247427 | + | 0.119154i | ||||
\(508\) | −11.7654 | + | 5.66592i | −0.522005 | + | 0.251384i | ||||
\(509\) | 5.63049 | − | 24.6688i | 0.249567 | − | 1.09342i | −0.682428 | − | 0.730953i | \(-0.739076\pi\) |
0.931995 | − | 0.362472i | \(-0.118067\pi\) | |||||||
\(510\) | −0.317667 | −0.0140665 | ||||||||
\(511\) | −8.06249 | + | 35.3241i | −0.356664 | + | 1.56265i | ||||
\(512\) | −10.6923 | − | 13.4077i | −0.472538 | − | 0.592544i | ||||
\(513\) | 1.17725 | + | 5.15788i | 0.0519769 | + | 0.227726i | ||||
\(514\) | 4.79201 | + | 20.9952i | 0.211367 | + | 0.926058i | ||||
\(515\) | −0.626178 | + | 0.785203i | −0.0275927 | + | 0.0346002i | ||||
\(516\) | −2.87047 | + | 1.38235i | −0.126365 | + | 0.0608544i | ||||
\(517\) | 20.4683 | + | 9.85702i | 0.900195 | + | 0.433511i | ||||
\(518\) | −13.2458 | − | 16.6097i | −0.581986 | − | 0.729788i | ||||
\(519\) | 2.91723 | − | 3.65809i | 0.128052 | − | 0.160572i | ||||
\(520\) | −2.26271 | − | 1.08966i | −0.0992264 | − | 0.0477849i | ||||
\(521\) | 23.5797 | 1.03305 | 0.516523 | − | 0.856273i | \(-0.327226\pi\) | ||||
0.516523 | + | 0.856273i | \(0.327226\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.96508 | 0.173381 | 0.0866905 | − | 0.996235i | \(-0.472371\pi\) | ||||
0.0866905 | + | 0.996235i | \(0.472371\pi\) | |||||||
\(524\) | 0.510885 | + | 0.246029i | 0.0223181 | + | 0.0107478i | ||||
\(525\) | 5.47434 | − | 6.86461i | 0.238920 | − | 0.299596i | ||||
\(526\) | 0.373822 | + | 0.468758i | 0.0162994 | + | 0.0204388i | ||||
\(527\) | 6.35690 | + | 3.06132i | 0.276911 | + | 0.133353i | ||||
\(528\) | 5.76659 | − | 2.77705i | 0.250959 | − | 0.120855i | ||||
\(529\) | −3.66905 | + | 4.60085i | −0.159524 | + | 0.200037i | ||||
\(530\) | −0.623490 | − | 2.73169i | −0.0270827 | − | 0.118657i | ||||
\(531\) | −5.67994 | − | 24.8854i | −0.246488 | − | 1.07994i | ||||
\(532\) | −6.44989 | − | 8.08790i | −0.279638 | − | 0.350655i | ||||
\(533\) | −0.457123 | + | 2.00279i | −0.0198002 | + | 0.0867504i | ||||
\(534\) | −1.14138 | −0.0493921 | ||||||||
\(535\) | 0.592458 | − | 2.59573i | 0.0256142 | − | 0.112223i | ||||
\(536\) | −0.457656 | + | 0.220395i | −0.0197677 | + | 0.00951963i | ||||
\(537\) | 2.30194 | − | 1.10855i | 0.0993359 | − | 0.0478377i | ||||
\(538\) | −0.426624 | + | 1.86916i | −0.0183931 | + | 0.0805853i | ||||
\(539\) | 27.3532 | 1.17818 | ||||||||
\(540\) | 0.255709 | − | 1.12033i | 0.0110040 | − | 0.0482115i | ||||
\(541\) | −15.3753 | − | 19.2800i | −0.661036 | − | 0.828913i | 0.332419 | − | 0.943132i | \(-0.392135\pi\) |
−0.993456 | + | 0.114218i | \(0.963564\pi\) | |||||||
\(542\) | −6.60172 | − | 28.9240i | −0.283568 | − | 1.24239i | ||||
\(543\) | 0.657637 | + | 2.88130i | 0.0282219 | + | 0.123648i | ||||
\(544\) | 4.28083 | − | 5.36799i | 0.183539 | − | 0.230151i | ||||
\(545\) | 0.531459 | − | 0.255937i | 0.0227652 | − | 0.0109631i | ||||
\(546\) | −15.1712 | − | 7.30607i | −0.649268 | − | 0.312671i | ||||
\(547\) | 15.4882 | + | 19.4216i | 0.662228 | + | 0.830408i | 0.993584 | − | 0.113098i | \(-0.0360774\pi\) |
−0.331356 | + | 0.943506i | \(0.607506\pi\) | |||||||
\(548\) | −10.2940 | + | 12.9083i | −0.439739 | + | 0.551416i | ||||
\(549\) | −15.2702 | − | 7.35376i | −0.651718 | − | 0.313851i | ||||
\(550\) | 25.5666 | 1.09016 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2.49827 | −0.106333 | ||||||||
\(553\) | −2.16756 | − | 1.04384i | −0.0921741 | − | 0.0443887i | ||||
\(554\) | −7.40850 | + | 9.28997i | −0.314757 | + | 0.394693i | ||||
\(555\) | −0.288364 | − | 0.361597i | −0.0122404 | − | 0.0153489i | ||||
\(556\) | 3.14191 | + | 1.51306i | 0.133247 | + | 0.0641682i | ||||
\(557\) | −6.99612 | + | 3.36915i | −0.296435 | + | 0.142756i | −0.576190 | − | 0.817316i | \(-0.695461\pi\) |
0.279755 | + | 0.960071i | \(0.409747\pi\) | |||||||
\(558\) | −20.0112 | + | 25.0932i | −0.847141 | + | 1.06228i | ||||
\(559\) | −6.62498 | − | 29.0259i | −0.280207 | − | 1.22767i | ||||
\(560\) | −1.58815 | − | 6.95812i | −0.0671114 | − | 0.294034i | ||||
\(561\) | 0.896789 | + | 1.12454i | 0.0378624 | + | 0.0474780i | ||||
\(562\) | −12.2436 | + | 53.6428i | −0.516466 | + | 2.26279i | ||||
\(563\) | 20.8009 | 0.876652 | 0.438326 | − | 0.898816i | \(-0.355571\pi\) | ||||
0.438326 | + | 0.898816i | \(0.355571\pi\) | |||||||
\(564\) | 0.963460 | − | 4.22119i | 0.0405690 | − | 0.177744i | ||||
\(565\) | −2.77844 | + | 1.33803i | −0.116890 | + | 0.0562912i | ||||
\(566\) | −5.77144 | + | 2.77938i | −0.242592 | + | 0.116826i | ||||
\(567\) | 6.53803 | − | 28.6450i | 0.274572 | − | 1.20298i | ||||
\(568\) | −15.4765 | −0.649380 | ||||||||
\(569\) | −0.625113 | + | 2.73880i | −0.0262061 | + | 0.114816i | −0.986339 | − | 0.164727i | \(-0.947326\pi\) |
0.960133 | + | 0.279543i | \(0.0901830\pi\) | |||||||
\(570\) | −0.365625 | − | 0.458479i | −0.0153143 | − | 0.0192036i | ||||
\(571\) | −0.643637 | − | 2.81996i | −0.0269354 | − | 0.118011i | 0.959673 | − | 0.281119i | \(-0.0907055\pi\) |
−0.986608 | + | 0.163107i | \(0.947848\pi\) | |||||||
\(572\) | −4.19016 | − | 18.3583i | −0.175199 | − | 0.767599i | ||||
\(573\) | −5.21983 | + | 6.54546i | −0.218062 | + | 0.273441i | ||||
\(574\) | −2.60388 | + | 1.25396i | −0.108684 | + | 0.0523393i | ||||
\(575\) | −18.1621 | − | 8.74638i | −0.757410 | − | 0.364749i | ||||
\(576\) | 2.21648 | + | 2.77938i | 0.0923533 | + | 0.115807i | ||||
\(577\) | 4.48225 | − | 5.62056i | 0.186598 | − | 0.233987i | −0.679729 | − | 0.733463i | \(-0.737903\pi\) |
0.866328 | + | 0.499476i | \(0.166474\pi\) | |||||||
\(578\) | −25.5993 | − | 12.3280i | −1.06479 | − | 0.512777i | ||||
\(579\) | 4.84415 | 0.201316 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 38.1933 | 1.58452 | ||||||||
\(582\) | 11.3802 | + | 5.48040i | 0.471723 | + | 0.227170i | ||||
\(583\) | −7.90999 | + | 9.91882i | −0.327598 | + | 0.410795i | ||||
\(584\) | −7.57069 | − | 9.49334i | −0.313277 | − | 0.392837i | ||||
\(585\) | 4.67241 | + | 2.25011i | 0.193180 | + | 0.0930307i | ||||
\(586\) | 53.3802 | − | 25.7066i | 2.20512 | − | 1.06193i | ||||
\(587\) | −19.3512 | + | 24.2656i | −0.798707 | + | 1.00155i | 0.201051 | + | 0.979581i | \(0.435564\pi\) |
−0.999759 | + | 0.0219668i | \(0.993007\pi\) | |||||||
\(588\) | −1.16003 | − | 5.08242i | −0.0478388 | − | 0.209596i | ||||
\(589\) | 2.89828 | + | 12.6982i | 0.119422 | + | 0.523220i | ||||
\(590\) | 3.65279 | + | 4.58046i | 0.150383 | + | 0.188574i | ||||
\(591\) | 0.831905 | − | 3.64481i | 0.0342200 | − | 0.149928i | ||||
\(592\) | 14.3817 | 0.591082 | ||||||||
\(593\) | −8.11476 | + | 35.5531i | −0.333233 | + | 1.45999i | 0.479597 | + | 0.877489i | \(0.340783\pi\) |
−0.812830 | + | 0.582501i | \(0.802074\pi\) | |||||||
\(594\) | −12.2066 | + | 5.87837i | −0.500841 | + | 0.241192i | ||||
\(595\) | 1.44504 | − | 0.695895i | 0.0592409 | − | 0.0285289i | ||||
\(596\) | −0.751528 | + | 3.29266i | −0.0307838 | + | 0.134873i | ||||
\(597\) | −2.94677 | −0.120603 | ||||||||
\(598\) | −8.60268 | + | 37.6908i | −0.351790 | + | 1.54129i | ||||
\(599\) | 18.7473 | + | 23.5083i | 0.765993 | + | 0.960525i | 0.999931 | − | 0.0117267i | \(-0.00373282\pi\) |
−0.233938 | + | 0.972251i | \(0.575161\pi\) | |||||||
\(600\) | 0.654759 | + | 2.86869i | 0.0267304 | + | 0.117114i | ||||
\(601\) | 7.38458 | + | 32.3539i | 0.301223 | + | 1.31974i | 0.868283 | + | 0.496068i | \(0.165223\pi\) |
−0.567060 | + | 0.823676i | \(0.691919\pi\) | |||||||
\(602\) | 26.1151 | − | 32.7472i | 1.06437 | − | 1.33468i | ||||
\(603\) | 0.945042 | − | 0.455108i | 0.0384851 | − | 0.0185334i | ||||
\(604\) | 2.73609 | + | 1.31763i | 0.111330 | + | 0.0536138i | ||||
\(605\) | −0.560999 | − | 0.703470i | −0.0228078 | − | 0.0286001i | ||||
\(606\) | 8.72132 | − | 10.9362i | 0.354280 | − | 0.444253i | ||||
\(607\) | 13.6228 | + | 6.56041i | 0.552933 | + | 0.266279i | 0.689418 | − | 0.724363i | \(-0.257866\pi\) |
−0.136485 | + | 0.990642i | \(0.543581\pi\) | |||||||
\(608\) | 12.6746 | 0.514021 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 3.89008 | 0.157505 | ||||||||
\(611\) | 36.4538 | + | 17.5552i | 1.47476 | + | 0.710209i | ||||
\(612\) | −2.41789 | + | 3.03194i | −0.0977376 | + | 0.122559i | ||||
\(613\) | 2.34146 | + | 2.93610i | 0.0945708 | + | 0.118588i | 0.826865 | − | 0.562400i | \(-0.190122\pi\) |
−0.732294 | + | 0.680988i | \(0.761551\pi\) | |||||||
\(614\) | 23.8170 | + | 11.4697i | 0.961176 | + | 0.462878i | ||||
\(615\) | −0.0566871 | + | 0.0272990i | −0.00228584 | + | 0.00110080i | ||||
\(616\) | −9.97434 | + | 12.5074i | −0.401878 | + | 0.503939i | ||||
\(617\) | −6.64364 | − | 29.1077i | −0.267463 | − | 1.17183i | −0.912954 | − | 0.408063i | \(-0.866204\pi\) |
0.645491 | − | 0.763768i | \(-0.276653\pi\) | |||||||
\(618\) | −0.502156 | − | 2.20009i | −0.0201997 | − | 0.0885006i | ||||
\(619\) | −28.7540 | − | 36.0564i | −1.15572 | − | 1.44923i | −0.871451 | − | 0.490483i | \(-0.836821\pi\) |
−0.284269 | − | 0.958745i | \(-0.591751\pi\) | |||||||
\(620\) | 0.629531 | − | 2.75815i | 0.0252826 | − | 0.110770i | ||||
\(621\) | 10.6823 | 0.428667 | ||||||||
\(622\) | 7.42854 | − | 32.5466i | 0.297857 | − | 1.30500i | ||||
\(623\) | 5.19202 | − | 2.50035i | 0.208014 | − | 0.100174i | ||||
\(624\) | 10.2702 | − | 4.94589i | 0.411139 | − | 0.197994i | ||||
\(625\) | −5.14148 | + | 22.5263i | −0.205659 | + | 0.901052i | ||||
\(626\) | −41.4306 | −1.65590 | ||||||||
\(627\) | −0.590834 | + | 2.58861i | −0.0235957 | + | 0.103379i | ||||
\(628\) | 13.7439 | + | 17.2343i | 0.548442 | + | 0.687725i | ||||
\(629\) | 0.719169 | + | 3.15088i | 0.0286751 | + | 0.125634i | ||||
\(630\) | 1.62349 | + | 7.11297i | 0.0646814 | + | 0.283388i | ||||
\(631\) | 7.87465 | − | 9.87450i | 0.313485 | − | 0.393098i | −0.599980 | − | 0.800015i | \(-0.704825\pi\) |
0.913465 | + | 0.406917i | \(0.133396\pi\) | |||||||
\(632\) | 0.726406 | − | 0.349819i | 0.0288949 | − | 0.0139150i | ||||
\(633\) | 3.24794 | + | 1.56413i | 0.129094 | + | 0.0621684i | ||||
\(634\) | −15.7947 | − | 19.8059i | −0.627288 | − | 0.786594i | ||||
\(635\) | 2.33028 | − | 2.92208i | 0.0924744 | − | 0.115959i | ||||
\(636\) | 2.17845 | + | 1.04909i | 0.0863811 | + | 0.0415989i | ||||
\(637\) | 48.7157 | 1.93019 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 31.9584 | 1.26425 | ||||||||
\(640\) | 3.24309 | + | 1.56179i | 0.128195 | + | 0.0617353i | ||||
\(641\) | 24.3173 | − | 30.4929i | 0.960476 | − | 1.20440i | −0.0183770 | − | 0.999831i | \(-0.505850\pi\) |
0.978853 | − | 0.204567i | \(-0.0655787\pi\) | |||||||
\(642\) | 3.73005 | + | 4.67734i | 0.147213 | + | 0.184600i | ||||
\(643\) | −37.2068 | − | 17.9179i | −1.46729 | − | 0.706612i | −0.481794 | − | 0.876284i | \(-0.660015\pi\) |
−0.985501 | + | 0.169672i | \(0.945729\pi\) | |||||||
\(644\) | −18.8192 | + | 9.06283i | −0.741579 | + | 0.357126i | ||||
\(645\) | 0.568532 | − | 0.712916i | 0.0223859 | − | 0.0280710i | ||||
\(646\) | 0.911854 | + | 3.99509i | 0.0358764 | + | 0.157185i | ||||
\(647\) | 3.98547 | + | 17.4615i | 0.156685 | + | 0.686481i | 0.990850 | + | 0.134967i | \(0.0430928\pi\) |
−0.834165 | + | 0.551515i | \(0.814050\pi\) | |||||||
\(648\) | 6.13922 | + | 7.69834i | 0.241171 | + | 0.302419i | ||||
\(649\) | 5.90276 | − | 25.8617i | 0.231703 | − | 1.01516i | ||||
\(650\) | 45.5338 | 1.78598 | ||||||||
\(651\) | −2.54892 | + | 11.1675i | −0.0998999 | + | 0.437690i | ||||
\(652\) | 5.57942 | − | 2.68691i | 0.218507 | − | 0.105227i | ||||
\(653\) | 12.0015 | − | 5.77961i | 0.469655 | − | 0.226174i | −0.184060 | − | 0.982915i | \(-0.558924\pi\) |
0.653714 | + | 0.756741i | \(0.273210\pi\) | |||||||
\(654\) | −0.294937 | + | 1.29221i | −0.0115330 | + | 0.0505292i | ||||
\(655\) | −0.162291 | −0.00634125 | ||||||||
\(656\) | 0.435353 | − | 1.90741i | 0.0169977 | − | 0.0744717i | ||||
\(657\) | 15.6332 | + | 19.6034i | 0.609908 | + | 0.764801i | ||||
\(658\) | 12.6664 | + | 55.4950i | 0.493786 | + | 2.16342i | ||||
\(659\) | −4.17576 | − | 18.2952i | −0.162664 | − | 0.712680i | −0.988805 | − | 0.149215i | \(-0.952325\pi\) |
0.826140 | − | 0.563465i | \(-0.190532\pi\) | |||||||
\(660\) | 0.359584 | − | 0.450904i | 0.0139968 | − | 0.0175514i | ||||
\(661\) | 22.2799 | − | 10.7294i | 0.866589 | − | 0.417327i | 0.0528807 | − | 0.998601i | \(-0.483160\pi\) |
0.813708 | + | 0.581274i | \(0.197445\pi\) | |||||||
\(662\) | 22.6582 | + | 10.9116i | 0.880635 | + | 0.424091i | ||||
\(663\) | 1.59717 | + | 2.00279i | 0.0620290 | + | 0.0777819i | ||||
\(664\) | −7.98039 | + | 10.0071i | −0.309699 | + | 0.388350i | ||||
\(665\) | 2.66756 | + | 1.28463i | 0.103444 | + | 0.0498158i | ||||
\(666\) | −14.7017 | −0.569680 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | 18.0368 | 0.697866 | ||||||||
\(669\) | −8.78890 | − | 4.23251i | −0.339798 | − | 0.163638i | ||||
\(670\) | −0.150104 | + | 0.188225i | −0.00579904 | + | 0.00727177i | ||||
\(671\) | −10.9819 | − | 13.7708i | −0.423951 | − | 0.531617i | ||||
\(672\) | 10.0429 | + | 4.83639i | 0.387412 | + | 0.186568i | ||||
\(673\) | −22.9230 | + | 11.0392i | −0.883618 | + | 0.425528i | −0.819945 | − | 0.572443i | \(-0.805996\pi\) |
−0.0636734 | + | 0.997971i | \(0.520282\pi\) | |||||||
\(674\) | 15.7262 | − | 19.7200i | 0.605749 | − | 0.759586i | ||||
\(675\) | −2.79968 | − | 12.2662i | −0.107760 | − | 0.472126i | ||||
\(676\) | −3.85540 | − | 16.8916i | −0.148285 | − | 0.649678i | ||||
\(677\) | 0.384411 | + | 0.482037i | 0.0147741 | + | 0.0185262i | 0.789164 | − | 0.614183i | \(-0.210514\pi\) |
−0.774390 | + | 0.632709i | \(0.781943\pi\) | |||||||
\(678\) | 1.54192 | − | 6.75558i | 0.0592170 | − | 0.259446i | ||||
\(679\) | −63.7730 | −2.44738 | ||||||||
\(680\) | −0.119605 | + | 0.524023i | −0.00458664 | + | 0.0200954i | ||||
\(681\) | 7.32908 | − | 3.52950i | 0.280851 | − | 0.135251i | ||||
\(682\) | −30.0514 | + | 14.4720i | −1.15073 | + | 0.554161i | ||||
\(683\) | −4.01022 | + | 17.5699i | −0.153447 | + | 0.672295i | 0.838421 | + | 0.545023i | \(0.183479\pi\) |
−0.991868 | + | 0.127272i | \(0.959378\pi\) | |||||||
\(684\) | −7.15883 | −0.273725 | ||||||||
\(685\) | 1.05150 | − | 4.60692i | 0.0401758 | − | 0.176022i | ||||
\(686\) | 10.8889 | + | 13.6542i | 0.415740 | + | 0.521321i | ||||
\(687\) | −1.58695 | − | 6.95288i | −0.0605459 | − | 0.265269i | ||||
\(688\) | 6.30947 | + | 27.6436i | 0.240546 | + | 1.05390i | ||||
\(689\) | −14.0876 | + | 17.6653i | −0.536695 | + | 0.672995i | ||||
\(690\) | −1.06680 | + | 0.513745i | −0.0406125 | + | 0.0195579i | ||||
\(691\) | −11.1235 | − | 5.35679i | −0.423157 | − | 0.203782i | 0.210172 | − | 0.977665i | \(-0.432598\pi\) |
−0.633329 | + | 0.773883i | \(0.718312\pi\) | |||||||
\(692\) | 8.17390 | + | 10.2497i | 0.310725 | + | 0.389637i | ||||
\(693\) | 20.5966 | − | 25.8274i | 0.782402 | − | 0.981101i | ||||
\(694\) | −32.2325 | − | 15.5224i | −1.22353 | − | 0.589221i | ||||
\(695\) | −0.998081 | −0.0378594 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 0.439665 | 0.0166535 | ||||||||
\(698\) | −43.7047 | − | 21.0471i | −1.65425 | − | 0.796643i | ||||
\(699\) | 0.542877 | − | 0.680746i | 0.0205335 | − | 0.0257482i | ||||
\(700\) | 15.3388 | + | 19.2342i | 0.579751 | + | 0.726985i | ||||
\(701\) | 30.7207 | + | 14.7943i | 1.16030 | + | 0.558773i | 0.912113 | − | 0.409939i | \(-0.134450\pi\) |
0.248190 | + | 0.968711i | \(0.420164\pi\) | |||||||
\(702\) | −21.7397 | + | 10.4693i | −0.820514 | + | 0.395139i | ||||
\(703\) | −3.71983 | + | 4.66452i | −0.140296 | + | 0.175926i | ||||
\(704\) | 0.822085 | + | 3.60179i | 0.0309835 | + | 0.135747i | ||||
\(705\) | 0.275750 | + | 1.20814i | 0.0103854 | + | 0.0455012i | ||||
\(706\) | 4.51089 | + | 5.65647i | 0.169769 | + | 0.212884i | ||||
\(707\) | −15.7153 | + | 68.8532i | −0.591034 | + | 2.58949i | ||||
\(708\) | −5.05562 | −0.190002 | ||||||||
\(709\) | −9.36712 | + | 41.0400i | −0.351789 | + | 1.54129i | 0.421257 | + | 0.906941i | \(0.361589\pi\) |
−0.773047 | + | 0.634349i | \(0.781268\pi\) | |||||||
\(710\) | −6.60872 | + | 3.18259i | −0.248021 | + | 0.119441i | ||||
\(711\) | −1.50000 | + | 0.722362i | −0.0562544 | + | 0.0270907i | ||||
\(712\) | −0.429739 | + | 1.88281i | −0.0161052 | + | 0.0705613i | ||||
\(713\) | 26.2989 | 0.984901 | ||||||||
\(714\) | −0.801938 | + | 3.51352i | −0.0300118 | + | 0.131490i | ||||
\(715\) | 3.36025 | + | 4.21362i | 0.125666 | + | 0.157580i | ||||
\(716\) | 1.59299 | + | 6.97935i | 0.0595328 | + | 0.260830i | ||||
\(717\) | 0.887632 | + | 3.88897i | 0.0331492 | + | 0.145236i | ||||
\(718\) | 0.838478 | − | 1.05142i | 0.0312917 | − | 0.0392386i | ||||
\(719\) | 47.0795 | − | 22.6723i | 1.75577 | − | 0.845533i | 0.780296 | − | 0.625410i | \(-0.215068\pi\) |
0.975472 | − | 0.220123i | \(-0.0706459\pi\) | |||||||
\(720\) | −4.44989 | − | 2.14295i | −0.165837 | − | 0.0798631i | ||||
\(721\) | 7.10388 | + | 8.90798i | 0.264562 | + | 0.331750i | ||||
\(722\) | 16.6298 | − | 20.8531i | 0.618898 | − | 0.776074i | ||||
\(723\) | −7.97919 | − | 3.84258i | −0.296749 | − | 0.142907i | ||||
\(724\) | −8.28083 | −0.307755 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 2.02177 | 0.0750349 | ||||||||
\(727\) | −27.0155 | − | 13.0100i | −1.00195 | − | 0.482513i | −0.140350 | − | 0.990102i | \(-0.544823\pi\) |
−0.861599 | + | 0.507589i | \(0.830537\pi\) | |||||||
\(728\) | −17.7642 | + | 22.2756i | −0.658385 | + | 0.825589i | ||||
\(729\) | −10.5278 | − | 13.2015i | −0.389919 | − | 0.488943i | ||||
\(730\) | −5.18502 | − | 2.49697i | −0.191906 | − | 0.0924172i | ||||
\(731\) | −5.74094 | + | 2.76469i | −0.212336 | + | 0.102256i | ||||
\(732\) | −2.09299 | + | 2.62453i | −0.0773591 | + | 0.0970053i | ||||
\(733\) | −0.670784 | − | 2.93890i | −0.0247760 | − | 0.108551i | 0.961028 | − | 0.276451i | \(-0.0891584\pi\) |
−0.985804 | + | 0.167901i | \(0.946301\pi\) | |||||||
\(734\) | −13.6526 | − | 59.8158i | −0.503925 | − | 2.20784i | ||||
\(735\) | 0.930272 | + | 1.16652i | 0.0343136 | + | 0.0430279i | ||||
\(736\) | 5.69471 | − | 24.9502i | 0.209910 | − | 0.919675i | ||||
\(737\) | 1.09006 | 0.0401531 | ||||||||
\(738\) | −0.445042 | + | 1.94986i | −0.0163822 | + | 0.0717752i | ||||
\(739\) | 18.7739 | − | 9.04103i | 0.690609 | − | 0.332580i | −0.0554484 | − | 0.998462i | \(-0.517659\pi\) |
0.746057 | + | 0.665882i | \(0.231945\pi\) | |||||||
\(740\) | 1.16756 | − | 0.562269i | 0.0429205 | − | 0.0206694i | ||||
\(741\) | −1.05227 | + | 4.61029i | −0.0386561 | + | 0.169363i | ||||
\(742\) | −31.7875 | −1.16695 | ||||||||
\(743\) | 6.84601 | − | 29.9943i | 0.251156 | − | 1.10039i | −0.679265 | − | 0.733893i | \(-0.737701\pi\) |
0.930421 | − | 0.366492i | \(-0.119441\pi\) | |||||||
\(744\) | −2.39344 | − | 3.00127i | −0.0877476 | − | 0.110032i | ||||
\(745\) | −0.215094 | − | 0.942387i | −0.00788042 | − | 0.0345264i | ||||
\(746\) | 11.2274 | + | 49.1903i | 0.411063 | + | 1.80098i | ||||
\(747\) | 16.4792 | − | 20.6642i | 0.602942 | − | 0.756065i | ||||
\(748\) | −3.63102 | + | 1.74861i | −0.132763 | + | 0.0639355i | ||||
\(749\) | −27.2141 | − | 13.1056i | −0.994381 | − | 0.478869i | ||||
\(750\) | 1.76175 | + | 2.20916i | 0.0643300 | + | 0.0806673i | ||||
\(751\) | −2.78650 | + | 3.49417i | −0.101681 | + | 0.127504i | −0.830068 | − | 0.557662i | \(-0.811699\pi\) |
0.728387 | + | 0.685165i | \(0.240270\pi\) | |||||||
\(752\) | −34.7177 | − | 16.7192i | −1.26603 | − | 0.609686i | ||||
\(753\) | 11.4843 | 0.418510 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −0.869167 | −0.0316322 | ||||||||
\(756\) | −11.7458 | − | 5.65647i | −0.427190 | − | 0.205724i | ||||
\(757\) | −5.27210 | + | 6.61101i | −0.191618 | + | 0.240281i | −0.868355 | − | 0.495944i | \(-0.834822\pi\) |
0.676737 | + | 0.736225i | \(0.263394\pi\) | |||||||
\(758\) | −25.7066 | − | 32.2350i | −0.933704 | − | 1.17083i | ||||
\(759\) | 4.83028 | + | 2.32614i | 0.175328 | + | 0.0844336i | ||||
\(760\) | −0.893969 | + | 0.430513i | −0.0324276 | + | 0.0156163i | ||||
\(761\) | 15.3971 | − | 19.3073i | 0.558144 | − | 0.699890i | −0.420070 | − | 0.907492i | \(-0.637994\pi\) |
0.978213 | + | 0.207602i | \(0.0665658\pi\) | |||||||
\(762\) | 1.86874 | + | 8.18749i | 0.0676973 | + | 0.296601i | ||||
\(763\) | −1.48911 | − | 6.52424i | −0.0539096 | − | 0.236193i | ||||
\(764\) | −14.6256 | − | 18.3400i | −0.529137 | − | 0.663517i | ||||
\(765\) | 0.246980 | − | 1.08209i | 0.00892957 | − | 0.0391230i | ||||
\(766\) | −21.3676 | −0.772045 | ||||||||
\(767\) | 10.5127 | − | 46.0593i | 0.379593 | − | 1.66311i | ||||
\(768\) | −8.30463 | + | 3.99930i | −0.299667 | + | 0.144312i | ||||
\(769\) | −27.1579 | + | 13.0786i | −0.979340 | + | 0.471625i | −0.853878 | − | 0.520473i | \(-0.825756\pi\) |
−0.125462 | + | 0.992098i | \(0.540041\pi\) | |||||||
\(770\) | −1.68718 | + | 7.39201i | −0.0608016 | + | 0.266389i | ||||
\(771\) | 5.31873 | 0.191549 | ||||||||
\(772\) | −3.02028 | + | 13.2327i | −0.108702 | + | 0.476255i | ||||
\(773\) | 3.53952 | + | 4.43842i | 0.127308 | + | 0.159639i | 0.841400 | − | 0.540412i | \(-0.181732\pi\) |
−0.714092 | + | 0.700051i | \(0.753160\pi\) | |||||||
\(774\) | −6.44989 | − | 28.2588i | −0.231836 | − | 1.01574i | ||||
\(775\) | −6.89254 | − | 30.1982i | −0.247587 | − | 1.08475i | ||||
\(776\) | 13.3252 | − | 16.7093i | 0.478347 | − | 0.599828i | ||||
\(777\) | −4.72737 | + | 2.27658i | −0.169593 | + | 0.0816718i | ||||
\(778\) | −16.8702 | − | 8.12428i | −0.604827 | − | 0.291269i | ||||
\(779\) | 0.506041 | + | 0.634555i | 0.0181308 | + | 0.0227353i | ||||
\(780\) | 0.640416 | − | 0.803056i | 0.0229306 | − | 0.0287540i | ||||
\(781\) | 29.9230 | + | 14.4102i | 1.07073 | + | 0.515637i | ||||
\(782\) | 8.27413 | 0.295882 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −46.3957 | −1.65699 | ||||||||
\(785\) | −5.68425 | − | 2.73739i | −0.202880 | − | 0.0977017i | ||||
\(786\) | 0.227365 | − | 0.285107i | 0.00810985 | − | 0.0101694i | ||||
\(787\) | −2.25033 | − | 2.82183i | −0.0802157 | − | 0.100587i | 0.740104 | − | 0.672492i | \(-0.234776\pi\) |
−0.820320 | + | 0.571905i | \(0.806205\pi\) | |||||||
\(788\) | 9.43780 | + | 4.54501i | 0.336208 | + | 0.161909i | ||||
\(789\) | 0.133415 | − | 0.0642495i | 0.00474972 | − | 0.00228734i | ||||
\(790\) | 0.238250 | − | 0.298757i | 0.00847657 | − | 0.0106293i | ||||
\(791\) | 7.78501 | + | 34.1084i | 0.276803 | + | 1.21275i | ||||
\(792\) | 2.46346 | + | 10.7931i | 0.0875352 | + | 0.383517i | ||||
\(793\) | −19.5586 | − | 24.5257i | −0.694546 | − | 0.870934i | ||||
\(794\) | 3.29494 | − | 14.4361i | 0.116933 | − | 0.512317i | ||||
\(795\) | −0.692021 | −0.0245435 | ||||||||
\(796\) | 1.83728 | − | 8.04966i | 0.0651207 | − | 0.285313i | ||||
\(797\) | 27.7347 | − | 13.3563i | 0.982412 | − | 0.473105i | 0.127478 | − | 0.991841i | \(-0.459312\pi\) |
0.854934 | + | 0.518737i | \(0.173597\pi\) | |||||||
\(798\) | −5.99396 | + | 2.88654i | −0.212184 | + | 0.102182i | ||||
\(799\) | 1.92692 | − | 8.44239i | 0.0681695 | − | 0.298670i | ||||
\(800\) | −30.1420 | −1.06568 | ||||||||
\(801\) | 0.887395 | − | 3.88793i | 0.0313546 | − | 0.137373i | ||||
\(802\) | −27.9535 | − | 35.0526i | −0.987074 | − | 1.23775i | ||||
\(803\) | 5.79829 | + | 25.4040i | 0.204617 | + | 0.896487i | ||||
\(804\) | −0.0462289 | − | 0.202542i | −0.00163037 | − | 0.00714311i | ||||
\(805\) | 3.72737 | − | 4.67397i | 0.131372 | − | 0.164736i | ||||
\(806\) | −53.5212 | + | 25.7744i | −1.88520 | + | 0.907866i | ||||
\(807\) | 0.426624 | + | 0.205451i | 0.0150179 | + | 0.00723223i | ||||
\(808\) | −14.7567 | − | 18.5043i | −0.519138 | − | 0.650978i | ||||
\(809\) | 3.26540 | − | 4.09468i | 0.114805 | − | 0.143961i | −0.721108 | − | 0.692822i | \(-0.756367\pi\) |
0.835914 | + | 0.548861i | \(0.184938\pi\) | |||||||
\(810\) | 4.20464 | + | 2.02485i | 0.147736 | + | 0.0711458i | ||||
\(811\) | 41.8646 | 1.47006 | 0.735032 | − | 0.678032i | \(-0.237167\pi\) | ||||
0.735032 | + | 0.678032i | \(0.237167\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −7.32736 | −0.256982 | ||||||||
\(814\) | −13.7654 | − | 6.62907i | −0.482477 | − | 0.232349i | ||||
\(815\) | −1.10507 | + | 1.38572i | −0.0387090 | + | 0.0485395i | ||||
\(816\) | −1.52111 | − | 1.90741i | −0.0532494 | − | 0.0667726i | ||||
\(817\) | −10.5978 | − | 5.10365i | −0.370771 | − | 0.178554i | ||||
\(818\) | 30.6766 | − | 14.7731i | 1.07258 | − | 0.516528i | ||||
\(819\) | 36.6824 | − | 45.9983i | 1.28179 | − | 1.60731i | ||||
\(820\) | −0.0392287 | − | 0.171872i | −0.00136992 | − | 0.00600203i | ||||
\(821\) | −3.42812 | − | 15.0196i | −0.119642 | − | 0.524186i | −0.998859 | − | 0.0477639i | \(-0.984791\pi\) |
0.879217 | − | 0.476422i | \(-0.158067\pi\) | |||||||
\(822\) | 6.62014 | + | 8.30139i | 0.230904 | + | 0.289544i | ||||
\(823\) | 7.93416 | − | 34.7618i | 0.276567 | − | 1.21172i | −0.625534 | − | 0.780197i | \(-0.715119\pi\) |
0.902102 | − | 0.431524i | \(-0.142024\pi\) | |||||||
\(824\) | −3.81833 | −0.133018 | ||||||||
\(825\) | 1.40509 | − | 6.15610i | 0.0489190 | − | 0.214328i | ||||
\(826\) | 59.8829 | − | 28.8381i | 2.08359 | − | 1.00341i | ||||
\(827\) | 46.8989 | − | 22.5853i | 1.63083 | − | 0.785368i | 0.630879 | − | 0.775882i | \(-0.282695\pi\) |
0.999955 | − | 0.00948645i | \(-0.00301967\pi\) | |||||||
\(828\) | −3.21648 | + | 14.0923i | −0.111780 | + | 0.489742i | ||||
\(829\) | −13.4168 | −0.465986 | −0.232993 | − | 0.972478i | \(-0.574852\pi\) | ||||
−0.232993 | + | 0.972478i | \(0.574852\pi\) | |||||||
\(830\) | −1.34990 | + | 5.91428i | −0.0468556 | + | 0.205288i | ||||
\(831\) | 1.82975 | + | 2.29443i | 0.0634733 | + | 0.0795930i | ||||
\(832\) | 1.46412 | + | 6.41475i | 0.0507594 | + | 0.222391i | ||||
\(833\) | −2.32006 | − | 10.1648i | −0.0803853 | − | 0.352191i | ||||
\(834\) | 1.39828 | − | 1.75339i | 0.0484185 | − | 0.0607149i | ||||
\(835\) | −4.65106 | + | 2.23983i | −0.160957 | + | 0.0775127i | ||||
\(836\) | −6.70291 | − | 3.22795i | −0.231825 | − | 0.111641i | ||||
\(837\) | 10.2341 | + | 12.8331i | 0.353741 | + | 0.443577i | ||||
\(838\) | 12.2376 | − | 15.3454i | 0.422740 | − | 0.530100i | ||||
\(839\) | 27.9763 | + | 13.4727i | 0.965848 | + | 0.465128i | 0.849215 | − | 0.528047i | \(-0.177076\pi\) |
0.116633 | + | 0.993175i | \(0.462790\pi\) | |||||||
\(840\) | −0.872625 | −0.0301084 | ||||||||
\(841\) | 0 | 0 | ||||||||
\(842\) | 35.9681 | 1.23954 | ||||||||
\(843\) | 12.2436 | + | 5.89622i | 0.421693 | + | 0.203077i | ||||
\(844\) | −6.29776 | + | 7.89714i | −0.216778 | + | 0.271831i | ||||
\(845\) | 3.09179 | + | 3.87699i | 0.106361 | + | 0.133372i | ||||
\(846\) | 35.4904 | + | 17.0913i | 1.22018 | + | 0.587610i | ||||
\(847\) | −9.19687 | + | 4.42898i | −0.316008 | + | 0.152181i | ||||
\(848\) | 13.4167 | − | 16.8240i | 0.460731 | − | 0.577739i | ||||
\(849\) | 0.352052 | + | 1.54244i | 0.0120824 | + | 0.0529364i | ||||
\(850\) | −2.16852 | − | 9.50092i | −0.0743797 | − | 0.325879i | ||||
\(851\) | 7.51089 | + | 9.41835i | 0.257470 | + | 0.322857i | ||||
\(852\) | 1.40850 | − | 6.17105i | 0.0482545 | − | 0.211417i | ||||
\(853\) | 21.3357 | 0.730521 | 0.365261 | − | 0.930905i | \(-0.380980\pi\) | ||||
0.365261 | + | 0.930905i | \(0.380980\pi\) | |||||||
\(854\) | 9.82036 | − | 43.0258i | 0.336046 | − | 1.47231i | ||||
\(855\) | 1.84601 | − | 0.888992i | 0.0631322 | − | 0.0304029i | ||||
\(856\) | 9.12014 | − | 4.39203i | 0.311720 | − | 0.150116i | ||||
\(857\) | 2.18784 | − | 9.58556i | 0.0747352 | − | 0.327436i | −0.923716 | − | 0.383079i | \(-0.874864\pi\) |
0.998451 | + | 0.0556427i | \(0.0177208\pi\) | |||||||
\(858\) | −12.1099 | −0.413426 | ||||||||
\(859\) | 11.5230 | − | 50.4854i | 0.393159 | − | 1.72254i | −0.260256 | − | 0.965540i | \(-0.583807\pi\) |
0.653414 | − | 0.757000i | \(-0.273336\pi\) | |||||||
\(860\) | 1.59299 | + | 1.99755i | 0.0543205 | + | 0.0681158i | ||||
\(861\) | 0.158834 | + | 0.695895i | 0.00541303 | + | 0.0237161i | ||||
\(862\) | −12.1054 | − | 53.0371i | −0.412310 | − | 1.80645i | ||||
\(863\) | −10.1471 | + | 12.7241i | −0.345412 | + | 0.433133i | −0.923945 | − | 0.382526i | \(-0.875054\pi\) |
0.578533 | + | 0.815659i | \(0.303626\pi\) | |||||||
\(864\) | 14.3910 | − | 6.93036i | 0.489593 | − | 0.235776i | ||||
\(865\) | −3.38059 | − | 1.62800i | −0.114943 | − | 0.0553538i | ||||
\(866\) | 22.6848 | + | 28.4458i | 0.770860 | + | 0.966628i | ||||
\(867\) | −4.37531 | + | 5.48647i | −0.148593 | + | 0.186330i | ||||
\(868\) | −28.9170 | − | 13.9257i | −0.981507 | − | 0.472669i | ||||
\(869\) | −1.73019 | −0.0586925 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 1.94139 | 0.0657816 | ||||||||
\(872\) | 2.02057 | + | 0.973057i | 0.0684253 | + | 0.0329519i | ||||
\(873\) | −27.5160 | + | 34.5040i | −0.931276 | + | 1.16778i | ||||
\(874\) | 9.52326 | + | 11.9418i | 0.322129 | + | 0.403937i | ||||
\(875\) | −12.8535 | − | 6.18994i | −0.434529 | − | 0.209258i | ||||
\(876\) | 4.47434 | − | 2.15473i | 0.151174 | − | 0.0728016i | ||||
\(877\) | 9.23155 | − | 11.5760i | 0.311727 | − | 0.390893i | −0.601144 | − | 0.799140i | \(-0.705288\pi\) |
0.912872 | + | 0.408247i | \(0.133860\pi\) | |||||||
\(878\) | −4.27628 | − | 18.7356i | −0.144318 | − | 0.632296i | ||||
\(879\) | −3.25614 | − | 14.2661i | −0.109827 | − | 0.481182i | ||||
\(880\) | −3.20022 | − | 4.01295i | −0.107879 | − | 0.135276i | ||||
\(881\) | 4.14728 | − | 18.1704i | 0.139726 | − | 0.612178i | −0.855769 | − | 0.517358i | \(-0.826915\pi\) |
0.995494 | − | 0.0948195i | \(-0.0302274\pi\) | |||||||
\(882\) | 47.4282 | 1.59699 | ||||||||
\(883\) | 7.20828 | − | 31.5816i | 0.242578 | − | 1.06280i | −0.696083 | − | 0.717962i | \(-0.745075\pi\) |
0.938661 | − | 0.344842i | \(-0.112068\pi\) | |||||||
\(884\) | −6.46681 | + | 3.11425i | −0.217502 | + | 0.104744i | ||||
\(885\) | 1.30367 | − | 0.627813i | 0.0438223 | − | 0.0211037i | ||||
\(886\) | −8.15979 | + | 35.7504i | −0.274134 | + | 1.20106i | ||||
\(887\) | −6.16288 | −0.206929 | −0.103465 | − | 0.994633i | \(-0.532993\pi\) | ||||
−0.103465 | + | 0.994633i | \(0.532993\pi\) | |||||||
\(888\) | 0.391280 | − | 1.71431i | 0.0131305 | − | 0.0575285i | ||||
\(889\) | −26.4366 | − | 33.1505i | −0.886655 | − | 1.11183i | ||||
\(890\) | 0.203676 | + | 0.892363i | 0.00682724 | + | 0.0299121i | ||||
\(891\) | −4.70195 | − | 20.6006i | −0.157521 | − | 0.690145i | ||||
\(892\) | 17.0417 | − | 21.3696i | 0.570598 | − | 0.715507i | ||||
\(893\) | 14.4025 | − | 6.93586i | 0.481960 | − | 0.232100i | ||||
\(894\) | 1.95689 | + | 0.942387i | 0.0654481 | + | 0.0315181i | ||||
\(895\) | −1.27748 | − | 1.60191i | −0.0427014 | − | 0.0535459i | ||||
\(896\) | 25.4611 | − | 31.9272i | 0.850595 | − | 1.06661i | ||||
\(897\) | 8.60268 | + | 4.14283i | 0.287235 | + | 0.138325i | ||||
\(898\) | −34.9995 | −1.16795 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 17.0248 | 0.567492 | ||||||||
\(901\) | 4.35690 | + | 2.09817i | 0.145149 | + | 0.0699002i | ||||
\(902\) | −1.29590 | + | 1.62500i | −0.0431486 | + | 0.0541067i | ||||
\(903\) | −6.44989 | − | 8.08790i | −0.214639 | − | 0.269149i | ||||
\(904\) | −10.5635 | − | 5.08709i | −0.351335 | − | 0.169194i | ||||
\(905\) | 2.13533 | − | 1.02832i | 0.0709809 | − | 0.0341826i | ||||
\(906\) | 1.21768 | − | 1.52692i | 0.0404546 | − | 0.0507285i | ||||
\(907\) | −9.78740 | − | 42.8814i | −0.324985 | − | 1.42385i | −0.828559 | − | 0.559902i | \(-0.810839\pi\) |
0.503573 | − | 0.863952i | \(-0.332018\pi\) | |||||||
\(908\) | 5.07188 | + | 22.2214i | 0.168316 | + | 0.737442i | ||||
\(909\) | 30.4720 | + | 38.2106i | 1.01069 | + | 1.26737i | ||||
\(910\) | −3.00484 | + | 13.1651i | −0.0996096 | + | 0.436418i | ||||
\(911\) | −25.6233 | −0.848936 | −0.424468 | − | 0.905443i | \(-0.639539\pi\) | ||||
−0.424468 | + | 0.905443i | \(0.639539\pi\) | |||||||
\(912\) | 1.00216 | − | 4.39073i | 0.0331847 | − | 0.145392i | ||||
\(913\) | 24.7473 | − | 11.9177i | 0.819015 | − | 0.394417i | ||||
\(914\) | −20.1652 | + | 9.71103i | −0.667005 | + | 0.321212i | ||||
\(915\) | 0.213792 | − | 0.936683i | 0.00706774 | − | 0.0309658i | ||||
\(916\) | 19.9825 | 0.660242 | ||||||||
\(917\) | −0.409698 | + | 1.79500i | −0.0135294 | + | 0.0592763i | ||||
\(918\) | 3.21983 | + | 4.03754i | 0.106270 | + | 0.133259i | ||||
\(919\) | 1.38889 | + | 6.08511i | 0.0458152 | + | 0.200729i | 0.992656 | − | 0.120974i | \(-0.0386018\pi\) |
−0.946841 | + | 0.321703i | \(0.895745\pi\) | |||||||
\(920\) | 0.445811 | + | 1.95323i | 0.0146980 | + | 0.0643960i | ||||
\(921\) | 4.07069 | − | 5.10448i | 0.134134 | − | 0.168198i | ||||
\(922\) | −35.6296 | + | 17.1583i | −1.17340 | + | 0.565079i | ||||
\(923\) | 53.2926 | + | 25.6644i | 1.75415 | + | 0.844753i | ||||
\(924\) | −4.07942 | − | 5.11543i | −0.134203 | − | 0.168285i | ||||
\(925\) | 8.84631 | − | 11.0929i | 0.290865 | − | 0.364733i | ||||
\(926\) | −53.5870 | − | 25.8061i | −1.76098 | − | 0.848042i | ||||
\(927\) | 7.88471 | 0.258968 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −24.5133 | −0.804256 | −0.402128 | − | 0.915583i | \(-0.631729\pi\) | ||||
−0.402128 | + | 0.915583i | \(0.631729\pi\) | |||||||
\(930\) | −1.63922 | − | 0.789406i | −0.0537521 | − | 0.0258857i | ||||
\(931\) | 12.0003 | − | 15.0479i | 0.393294 | − | 0.493175i | ||||
\(932\) | 1.52111 | + | 1.90741i | 0.0498255 | + | 0.0624792i | ||||
\(933\) | −7.42854 | − | 3.57740i | −0.243200 | − | 0.117119i | ||||
\(934\) | −42.3783 | + | 20.4083i | −1.38666 | + | 0.667780i | ||||
\(935\) | 0.719169 | − | 0.901809i | 0.0235193 | − | 0.0294923i | ||||
\(936\) | 4.38740 | + | 19.2224i | 0.143407 | + | 0.628305i | ||||
\(937\) | 0.909994 | + | 3.98694i | 0.0297282 | + | 0.130248i | 0.987614 | − | 0.156900i | \(-0.0501501\pi\) |
−0.957886 | + | 0.287148i | \(0.907293\pi\) | |||||||
\(938\) | 1.70291 | + | 2.13538i | 0.0556019 | + | 0.0697225i | ||||
\(939\) | −2.27695 | + | 9.97595i | −0.0743053 | + | 0.325553i | ||||
\(940\) | −3.47219 | −0.113250 | ||||||||
\(941\) | −1.37143 | + | 6.00862i | −0.0447073 | + | 0.195875i | −0.992350 | − | 0.123458i | \(-0.960602\pi\) |
0.947643 | + | 0.319333i | \(0.103459\pi\) | |||||||
\(942\) | 12.7724 | − | 6.15086i | 0.416147 | − | 0.200406i | ||||
\(943\) | 1.47650 | − | 0.711045i | 0.0480815 | − | 0.0231548i | ||||
\(944\) | −10.0121 | + | 43.8658i | −0.325865 | + | 1.42771i | ||||
\(945\) | 3.73125 | 0.121378 | ||||||||
\(946\) | 6.70291 | − | 29.3674i | 0.217930 | − | 0.954815i | ||||
\(947\) | −30.9889 | − | 38.8588i | −1.00700 | − | 1.26274i | −0.964621 | − | 0.263641i | \(-0.915077\pi\) |
−0.0423823 | − | 0.999101i | \(-0.513495\pi\) | |||||||
\(948\) | 0.0733760 | + | 0.321481i | 0.00238314 | + | 0.0104412i | ||||
\(949\) | 10.3267 | + | 45.2442i | 0.335219 | + | 1.46869i | ||||
\(950\) | 11.2165 | − | 14.0650i | 0.363911 | − | 0.456330i | ||||
\(951\) | −5.63706 | + | 2.71467i | −0.182794 | + | 0.0880291i | ||||
\(952\) | 5.49396 | + | 2.64575i | 0.178060 | + | 0.0857493i | ||||
\(953\) | 11.0268 | + | 13.8271i | 0.357192 | + | 0.447905i | 0.927666 | − | 0.373411i | \(-0.121812\pi\) |
−0.570474 | + | 0.821316i | \(0.693240\pi\) | |||||||
\(954\) | −13.7153 | + | 17.1984i | −0.444049 | + | 0.556819i | ||||
\(955\) | 6.04892 | + | 2.91301i | 0.195738 | + | 0.0942626i | ||||
\(956\) | −11.1769 | −0.361486 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −59.5827 | −1.92503 | ||||||||
\(959\) | −48.2998 | − | 23.2600i | −1.55968 | − | 0.751104i | ||||
\(960\) | −0.125646 | + | 0.157555i | −0.00405520 | + | 0.00508506i | ||||
\(961\) | 5.86712 | + | 7.35713i | 0.189262 | + | 0.237327i | ||||
\(962\) | −24.5160 | − | 11.8063i | −0.790428 | − | 0.380650i | ||||
\(963\) | −18.8327 | + | 9.06937i | −0.606876 | + | 0.292256i | ||||
\(964\) | 15.4717 | − | 19.4008i | 0.498309 | − | 0.624859i | ||||
\(965\) | −0.864429 | − | 3.78731i | −0.0278269 | − | 0.121918i | ||||
\(966\) | 2.98911 | + | 13.0962i | 0.0961732 | + | 0.421362i | ||||
\(967\) | −8.03886 | − | 10.0804i | −0.258512 | − | 0.324164i | 0.635590 | − | 0.772027i | \(-0.280757\pi\) |
−0.894102 | + | 0.447862i | \(0.852185\pi\) | |||||||
\(968\) | 0.761217 | − | 3.33511i | 0.0244664 | − | 0.107194i | ||||
\(969\) | 1.01208 | 0.0325127 | ||||||||
\(970\) | 2.25398 | − | 9.87533i | 0.0723709 | − | 0.317078i | ||||
\(971\) | −4.35839 | + | 2.09889i | −0.139867 | + | 0.0673566i | −0.502508 | − | 0.864572i | \(-0.667589\pi\) |
0.362641 | + | 0.931929i | \(0.381875\pi\) | |||||||
\(972\) | −12.3312 | + | 5.93841i | −0.395525 | + | 0.190475i | ||||
\(973\) | −2.51961 | + | 11.0392i | −0.0807751 | + | 0.353899i | ||||
\(974\) | 18.3013 | 0.586411 | ||||||||
\(975\) | 2.50245 | − | 10.9640i | 0.0801426 | − | 0.351128i | ||||
\(976\) | 18.6271 | + | 23.3577i | 0.596240 | + | 0.747661i | ||||
\(977\) | −3.65870 | − | 16.0298i | −0.117052 | − | 0.512839i | −0.999129 | − | 0.0417333i | \(-0.986712\pi\) |
0.882077 | − | 0.471106i | \(-0.156145\pi\) | |||||||
\(978\) | −0.886199 | − | 3.88269i | −0.0283375 | − | 0.124155i | ||||
\(979\) | 2.58397 | − | 3.24019i | 0.0825839 | − | 0.103557i | ||||
\(980\) | −3.76659 | + | 1.81390i | −0.120319 | + | 0.0579428i | ||||
\(981\) | −4.17241 | − | 2.00933i | −0.133215 | − | 0.0641528i | ||||
\(982\) | 22.1124 | + | 27.7280i | 0.705634 | + | 0.884837i | ||||
\(983\) | 16.5221 | − | 20.7180i | 0.526972 | − | 0.660802i | −0.445101 | − | 0.895480i | \(-0.646832\pi\) |
0.972073 | + | 0.234678i | \(0.0754037\pi\) | |||||||
\(984\) | −0.215521 | − | 0.103789i | −0.00687055 | − | 0.00330868i | ||||
\(985\) | −2.99808 | −0.0955268 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 14.0586 | 0.447490 | ||||||||
\(988\) | −11.9378 | − | 5.74894i | −0.379792 | − | 0.182898i | ||||
\(989\) | −14.8083 | + | 18.5690i | −0.470876 | + | 0.590459i | ||||
\(990\) | 3.27144 | + | 4.10225i | 0.103973 | + | 0.130378i | ||||
\(991\) | −36.4049 | − | 17.5317i | −1.15644 | − | 0.556912i | −0.245478 | − | 0.969402i | \(-0.578945\pi\) |
−0.910962 | + | 0.412490i | \(0.864659\pi\) | |||||||
\(992\) | 35.4294 | − | 17.0619i | 1.12488 | − | 0.541715i | ||||
\(993\) | 3.87263 | − | 4.85612i | 0.122894 | − | 0.154104i | ||||
\(994\) | 18.5172 | + | 81.1292i | 0.587331 | + | 2.57326i | ||||
\(995\) | 0.525845 | + | 2.30388i | 0.0166704 | + | 0.0730378i | ||||
\(996\) | −3.26391 | − | 4.09281i | −0.103421 | − | 0.129686i | ||||
\(997\) | 5.21930 | − | 22.8672i | 0.165297 | − | 0.724213i | −0.822538 | − | 0.568710i | \(-0.807443\pi\) |
0.987835 | − | 0.155503i | \(-0.0497000\pi\) | |||||||
\(998\) | −50.1831 | −1.58852 | ||||||||
\(999\) | −1.67307 | + | 7.33020i | −0.0529336 | + | 0.231917i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))