Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(17,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([33, 64]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.17");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.o (of order \(66\), degree \(20\), 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: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 17.18 | ||
Character | \(\chi\) | \(=\) | 201.17 |
Dual form | 201.3.o.b.71.18 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{32}{33}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0816192 | − | 0.854754i | −0.0408096 | − | 0.427377i | −0.992671 | − | 0.120848i | \(-0.961438\pi\) |
0.951861 | − | 0.306529i | \(-0.0991676\pi\) | |||||||
\(3\) | 2.61588 | − | 1.46873i | 0.871961 | − | 0.489575i | ||||
\(4\) | 3.20377 | − | 0.617476i | 0.800943 | − | 0.154369i | ||||
\(5\) | 6.65997 | + | 0.957559i | 1.33199 | + | 0.191512i | 0.771279 | − | 0.636497i | \(-0.219617\pi\) |
0.560715 | + | 0.828009i | \(0.310527\pi\) | |||||||
\(6\) | −1.46891 | − | 2.11606i | −0.244818 | − | 0.352677i | ||||
\(7\) | −5.73553 | − | 8.05442i | −0.819361 | − | 1.15063i | −0.986348 | − | 0.164672i | \(-0.947343\pi\) |
0.166988 | − | 0.985959i | \(-0.446596\pi\) | |||||||
\(8\) | −1.75691 | − | 5.98349i | −0.219614 | − | 0.747936i | ||||
\(9\) | 4.68569 | − | 7.68403i | 0.520632 | − | 0.853781i | ||||
\(10\) | 0.274897 | − | 5.77079i | 0.0274897 | − | 0.577079i | ||||
\(11\) | −12.2277 | + | 15.5488i | −1.11161 | + | 1.41352i | −0.211758 | + | 0.977322i | \(0.567919\pi\) |
−0.899849 | + | 0.436202i | \(0.856323\pi\) | |||||||
\(12\) | 7.47379 | − | 6.32071i | 0.622816 | − | 0.526726i | ||||
\(13\) | 2.56395 | + | 10.5687i | 0.197227 | + | 0.812980i | 0.981327 | + | 0.192346i | \(0.0616095\pi\) |
−0.784100 | + | 0.620634i | \(0.786875\pi\) | |||||||
\(14\) | −6.41642 | + | 5.55986i | −0.458316 | + | 0.397133i | ||||
\(15\) | 18.8281 | − | 7.27680i | 1.25521 | − | 0.485120i | ||||
\(16\) | 7.14505 | − | 2.86045i | 0.446566 | − | 0.178778i | ||||
\(17\) | −2.85618 | + | 14.8193i | −0.168011 | + | 0.871723i | 0.795886 | + | 0.605447i | \(0.207005\pi\) |
−0.963897 | + | 0.266276i | \(0.914207\pi\) | |||||||
\(18\) | −6.95040 | − | 3.37795i | −0.386133 | − | 0.187664i | ||||
\(19\) | −10.6933 | + | 15.0167i | −0.562806 | + | 0.790351i | −0.993702 | − | 0.112051i | \(-0.964258\pi\) |
0.430896 | + | 0.902401i | \(0.358197\pi\) | |||||||
\(20\) | 21.9283 | − | 1.04457i | 1.09641 | − | 0.0522286i | ||||
\(21\) | −26.8332 | − | 12.6455i | −1.27777 | − | 0.602167i | ||||
\(22\) | 14.2884 | + | 9.18259i | 0.649472 | + | 0.417390i | ||||
\(23\) | 4.37735 | − | 8.49087i | 0.190319 | − | 0.369168i | −0.774298 | − | 0.632821i | \(-0.781897\pi\) |
0.964618 | + | 0.263653i | \(0.0849273\pi\) | |||||||
\(24\) | −13.3840 | − | 13.0717i | −0.557665 | − | 0.544653i | ||||
\(25\) | 19.4509 | + | 5.71130i | 0.778037 | + | 0.228452i | ||||
\(26\) | 8.82441 | − | 3.05416i | 0.339400 | − | 0.117468i | ||||
\(27\) | 0.971491 | − | 26.9825i | 0.0359811 | − | 0.999352i | ||||
\(28\) | −23.3487 | − | 22.2630i | −0.833883 | − | 0.795106i | ||||
\(29\) | −24.3115 | − | 14.0363i | −0.838328 | − | 0.484009i | 0.0183675 | − | 0.999831i | \(-0.494153\pi\) |
−0.856696 | + | 0.515822i | \(0.827486\pi\) | |||||||
\(30\) | −7.75661 | − | 15.4995i | −0.258554 | − | 0.516649i | ||||
\(31\) | 2.21038 | − | 9.11133i | 0.0713027 | − | 0.293914i | −0.924985 | − | 0.380005i | \(-0.875922\pi\) |
0.996287 | + | 0.0860908i | \(0.0274375\pi\) | |||||||
\(32\) | −14.4583 | − | 28.0452i | −0.451823 | − | 0.876414i | ||||
\(33\) | −9.14932 | + | 58.6328i | −0.277252 | + | 1.77675i | ||||
\(34\) | 12.9000 | + | 1.23180i | 0.379411 | + | 0.0362294i | ||||
\(35\) | −30.4858 | − | 59.1343i | −0.871024 | − | 1.68955i | ||||
\(36\) | 10.2672 | − | 27.5112i | 0.285199 | − | 0.764199i | ||||
\(37\) | 32.6279 | + | 56.5132i | 0.881836 | + | 1.52738i | 0.849298 | + | 0.527913i | \(0.177025\pi\) |
0.0325373 | + | 0.999471i | \(0.489641\pi\) | |||||||
\(38\) | 13.7083 | + | 7.91451i | 0.360746 | + | 0.208277i | ||||
\(39\) | 22.2296 | + | 23.8808i | 0.569989 | + | 0.612329i | ||||
\(40\) | −5.97142 | − | 41.5322i | −0.149286 | − | 1.03830i | ||||
\(41\) | −2.90795 | + | 1.00645i | −0.0709257 | + | 0.0245476i | −0.362300 | − | 0.932061i | \(-0.618009\pi\) |
0.291375 | + | 0.956609i | \(0.405887\pi\) | |||||||
\(42\) | −8.61870 | + | 23.9679i | −0.205207 | + | 0.570664i | ||||
\(43\) | 14.2373 | − | 16.4307i | 0.331100 | − | 0.382109i | −0.565652 | − | 0.824644i | \(-0.691375\pi\) |
0.896751 | + | 0.442535i | \(0.145921\pi\) | |||||||
\(44\) | −29.5737 | + | 57.3650i | −0.672130 | + | 1.30375i | ||||
\(45\) | 38.5645 | − | 46.6886i | 0.856988 | − | 1.03752i | ||||
\(46\) | −7.61488 | − | 3.04854i | −0.165541 | − | 0.0662726i | ||||
\(47\) | 82.7114 | − | 3.94003i | 1.75982 | − | 0.0838304i | 0.857388 | − | 0.514671i | \(-0.172086\pi\) |
0.902428 | + | 0.430840i | \(0.141783\pi\) | |||||||
\(48\) | 14.4894 | − | 17.9767i | 0.301863 | − | 0.374515i | ||||
\(49\) | −15.9511 | + | 46.0876i | −0.325532 | + | 0.940563i | ||||
\(50\) | 3.29420 | − | 17.0919i | 0.0658839 | − | 0.341838i | ||||
\(51\) | 14.2940 | + | 42.9605i | 0.280275 | + | 0.842362i | ||||
\(52\) | 14.7402 | + | 32.2766i | 0.283466 | + | 0.620705i | ||||
\(53\) | −38.6245 | + | 33.4683i | −0.728764 | + | 0.631478i | −0.938099 | − | 0.346366i | \(-0.887415\pi\) |
0.209335 | + | 0.977844i | \(0.432870\pi\) | |||||||
\(54\) | −23.1427 | + | 1.37190i | −0.428569 | + | 0.0254056i | ||||
\(55\) | −96.3248 | + | 91.8455i | −1.75136 | + | 1.66992i | ||||
\(56\) | −38.1167 | + | 48.4693i | −0.680655 | + | 0.865524i | ||||
\(57\) | −5.91711 | + | 54.9874i | −0.103809 | + | 0.964691i | ||||
\(58\) | −10.0133 | + | 21.9260i | −0.172643 | + | 0.378034i | ||||
\(59\) | −18.5969 | − | 63.3352i | −0.315202 | − | 1.07348i | −0.952923 | − | 0.303211i | \(-0.901941\pi\) |
0.637722 | − | 0.770267i | \(-0.279877\pi\) | |||||||
\(60\) | 55.8276 | − | 34.9391i | 0.930461 | − | 0.582318i | ||||
\(61\) | 76.2598 | − | 59.9714i | 1.25016 | − | 0.983137i | 0.250272 | − | 0.968175i | \(-0.419480\pi\) |
0.999888 | − | 0.0149615i | \(-0.00476258\pi\) | |||||||
\(62\) | −7.96836 | − | 1.14568i | −0.128522 | − | 0.0184787i | ||||
\(63\) | −88.7653 | + | 6.33143i | −1.40897 | + | 0.100499i | ||||
\(64\) | 3.10665 | − | 1.99652i | 0.0485414 | − | 0.0311956i | ||||
\(65\) | 6.95562 | + | 72.8426i | 0.107010 | + | 1.12065i | ||||
\(66\) | 50.8634 | + | 3.03486i | 0.770658 | + | 0.0459828i | ||||
\(67\) | −61.9669 | + | 25.4776i | −0.924878 | + | 0.380263i | ||||
\(68\) | 49.2412i | 0.724136i | ||||||||
\(69\) | −1.02013 | − | 28.6402i | −0.0147844 | − | 0.415076i | ||||
\(70\) | −48.0570 | + | 30.8844i | −0.686529 | + | 0.441206i | ||||
\(71\) | −20.1397 | − | 104.495i | −0.283658 | − | 1.47176i | −0.791957 | − | 0.610577i | \(-0.790937\pi\) |
0.508299 | − | 0.861181i | \(-0.330275\pi\) | |||||||
\(72\) | −54.2096 | − | 14.5366i | −0.752911 | − | 0.201897i | ||||
\(73\) | −19.1475 | + | 15.0577i | −0.262294 | + | 0.206270i | −0.740642 | − | 0.671900i | \(-0.765478\pi\) |
0.478348 | + | 0.878171i | \(0.341236\pi\) | |||||||
\(74\) | 45.6419 | − | 32.5014i | 0.616782 | − | 0.439208i | ||||
\(75\) | 59.2697 | − | 13.6280i | 0.790262 | − | 0.181706i | ||||
\(76\) | −24.9865 | + | 54.7128i | −0.328770 | + | 0.719906i | ||||
\(77\) | 195.368 | + | 9.30654i | 2.53725 | + | 0.120864i | ||||
\(78\) | 18.5979 | − | 20.9500i | 0.238435 | − | 0.268589i | ||||
\(79\) | −27.4868 | + | 26.2086i | −0.347934 | + | 0.331755i | −0.843813 | − | 0.536637i | \(-0.819695\pi\) |
0.495879 | + | 0.868392i | \(0.334846\pi\) | |||||||
\(80\) | 50.3249 | − | 12.2087i | 0.629061 | − | 0.152609i | ||||
\(81\) | −37.0886 | − | 72.0100i | −0.457884 | − | 0.889012i | ||||
\(82\) | 1.09761 | + | 2.40344i | 0.0133855 | + | 0.0293103i | ||||
\(83\) | 7.30213 | + | 18.2398i | 0.0879774 | + | 0.219757i | 0.965831 | − | 0.259172i | \(-0.0834495\pi\) |
−0.877854 | + | 0.478929i | \(0.841025\pi\) | |||||||
\(84\) | −93.7757 | − | 23.9444i | −1.11638 | − | 0.285053i | ||||
\(85\) | −33.2124 | + | 95.9610i | −0.390734 | + | 1.12895i | ||||
\(86\) | −15.2062 | − | 10.8283i | −0.176817 | − | 0.125911i | ||||
\(87\) | −84.2115 | − | 1.01027i | −0.967948 | − | 0.0116124i | ||||
\(88\) | 114.519 | + | 45.8464i | 1.30135 | + | 0.520982i | ||||
\(89\) | −89.2604 | + | 138.892i | −1.00293 | + | 1.56058i | −0.187055 | + | 0.982349i | \(0.559894\pi\) |
−0.815871 | + | 0.578234i | \(0.803742\pi\) | |||||||
\(90\) | −43.0548 | − | 29.1525i | −0.478387 | − | 0.323916i | ||||
\(91\) | 70.4194 | − | 81.2684i | 0.773840 | − | 0.893059i | ||||
\(92\) | 8.78111 | − | 29.9057i | 0.0954468 | − | 0.325062i | ||||
\(93\) | −7.59993 | − | 27.0806i | −0.0817197 | − | 0.291189i | ||||
\(94\) | −10.1186 | − | 70.3763i | −0.107645 | − | 0.748684i | ||||
\(95\) | −85.5965 | + | 89.7710i | −0.901016 | + | 0.944958i | ||||
\(96\) | −79.0120 | − | 52.1278i | −0.823042 | − | 0.542997i | ||||
\(97\) | 44.1956 | + | 76.5489i | 0.455624 | + | 0.789164i | 0.998724 | − | 0.0505039i | \(-0.0160827\pi\) |
−0.543100 | + | 0.839668i | \(0.682749\pi\) | |||||||
\(98\) | 40.6955 | + | 9.87262i | 0.415260 | + | 0.100741i | ||||
\(99\) | 62.1820 | + | 166.815i | 0.628101 | + | 1.68500i | ||||
\(100\) | 65.8429 | + | 6.28723i | 0.658429 | + | 0.0628723i | ||||
\(101\) | 5.48888 | − | 57.4821i | 0.0543453 | − | 0.569130i | −0.926760 | − | 0.375654i | \(-0.877418\pi\) |
0.981105 | − | 0.193475i | \(-0.0619760\pi\) | |||||||
\(102\) | 35.5540 | − | 15.7243i | 0.348569 | − | 0.154160i | ||||
\(103\) | −14.7879 | + | 60.9565i | −0.143572 | + | 0.591811i | 0.853880 | + | 0.520470i | \(0.174243\pi\) |
−0.997452 | + | 0.0713414i | \(0.977272\pi\) | |||||||
\(104\) | 58.7333 | − | 33.9097i | 0.564743 | − | 0.326054i | ||||
\(105\) | −166.599 | − | 109.913i | −1.58666 | − | 1.04679i | ||||
\(106\) | 31.7597 | + | 30.2828i | 0.299620 | + | 0.285687i | ||||
\(107\) | −110.122 | + | 15.8332i | −1.02918 | + | 0.147973i | −0.636160 | − | 0.771557i | \(-0.719478\pi\) |
−0.393018 | + | 0.919531i | \(0.628569\pi\) | |||||||
\(108\) | −13.5486 | − | 87.0457i | −0.125450 | − | 0.805979i | ||||
\(109\) | 13.5876 | + | 3.98969i | 0.124657 | + | 0.0366027i | 0.343466 | − | 0.939165i | \(-0.388399\pi\) |
−0.218809 | + | 0.975768i | \(0.570217\pi\) | |||||||
\(110\) | 86.3673 | + | 74.8377i | 0.785157 | + | 0.680343i | ||||
\(111\) | 168.353 | + | 99.9105i | 1.51670 | + | 0.900095i | ||||
\(112\) | −64.0199 | − | 41.1431i | −0.571606 | − | 0.367349i | ||||
\(113\) | 25.8647 | − | 64.6070i | 0.228892 | − | 0.571744i | −0.768812 | − | 0.639475i | \(-0.779152\pi\) |
0.997704 | + | 0.0677313i | \(0.0215761\pi\) | |||||||
\(114\) | 47.4837 | + | 0.569656i | 0.416523 | + | 0.00499698i | ||||
\(115\) | 37.2835 | − | 52.3573i | 0.324204 | − | 0.455281i | ||||
\(116\) | −86.5556 | − | 29.9572i | −0.746169 | − | 0.258252i | ||||
\(117\) | 93.2243 | + | 29.8204i | 0.796789 | + | 0.254875i | ||||
\(118\) | −52.6182 | + | 21.0651i | −0.445917 | + | 0.178518i | ||||
\(119\) | 135.742 | − | 61.9915i | 1.14069 | − | 0.520937i | ||||
\(120\) | −76.6199 | − | 99.8729i | −0.638499 | − | 0.832274i | ||||
\(121\) | −63.7210 | − | 262.661i | −0.526619 | − | 2.17075i | ||||
\(122\) | −57.4850 | − | 60.2886i | −0.471189 | − | 0.494169i | ||||
\(123\) | −6.12867 | + | 6.90375i | −0.0498266 | + | 0.0561281i | ||||
\(124\) | 1.45554 | − | 30.5555i | 0.0117382 | − | 0.246415i | ||||
\(125\) | −28.9369 | − | 13.2150i | −0.231495 | − | 0.105720i | ||||
\(126\) | 12.6568 | + | 75.3558i | 0.100451 | + | 0.598062i | ||||
\(127\) | −55.3604 | − | 77.7429i | −0.435909 | − | 0.612149i | 0.536931 | − | 0.843626i | \(-0.319583\pi\) |
−0.972840 | + | 0.231477i | \(0.925644\pi\) | |||||||
\(128\) | −79.9786 | − | 101.701i | −0.624833 | − | 0.794540i | ||||
\(129\) | 13.1109 | − | 63.8915i | 0.101635 | − | 0.495283i | ||||
\(130\) | 61.6948 | − | 11.8907i | 0.474575 | − | 0.0914669i | ||||
\(131\) | 73.8158 | + | 114.860i | 0.563479 | + | 0.876791i | 0.999735 | − | 0.0230319i | \(-0.00733194\pi\) |
−0.436255 | + | 0.899823i | \(0.643696\pi\) | |||||||
\(132\) | 6.89205 | + | 193.496i | 0.0522125 | + | 1.46588i | ||||
\(133\) | 182.282 | 1.37054 | ||||||||
\(134\) | 26.8348 | + | 50.8870i | 0.200260 | + | 0.379754i | ||||
\(135\) | 32.3074 | − | 178.772i | 0.239314 | − | 1.32424i | ||||
\(136\) | 93.6891 | − | 8.94622i | 0.688890 | − | 0.0657810i | ||||
\(137\) | −8.96817 | − | 13.9548i | −0.0654611 | − | 0.101860i | 0.806980 | − | 0.590579i | \(-0.201101\pi\) |
−0.872441 | + | 0.488719i | \(0.837464\pi\) | |||||||
\(138\) | −24.3971 | + | 3.20955i | −0.176791 | + | 0.0232576i | ||||
\(139\) | 1.00249 | − | 6.97245i | 0.00721214 | − | 0.0501615i | −0.985898 | − | 0.167350i | \(-0.946479\pi\) |
0.993110 | + | 0.117188i | \(0.0373881\pi\) | |||||||
\(140\) | −134.184 | − | 170.628i | −0.958455 | − | 1.21877i | ||||
\(141\) | 210.576 | − | 131.787i | 1.49345 | − | 0.934659i | ||||
\(142\) | −87.6736 | + | 25.7433i | −0.617420 | + | 0.181291i | ||||
\(143\) | −195.682 | − | 89.3649i | −1.36840 | − | 0.624930i | ||||
\(144\) | 11.4997 | − | 68.3060i | 0.0798594 | − | 0.474347i | ||||
\(145\) | −148.473 | − | 116.761i | −1.02395 | − | 0.805246i | ||||
\(146\) | 14.4335 | + | 15.1374i | 0.0988594 | + | 0.103681i | ||||
\(147\) | 25.9639 | + | 143.988i | 0.176625 | + | 0.979507i | ||||
\(148\) | 139.428 | + | 160.908i | 0.942081 | + | 1.08722i | ||||
\(149\) | −29.9280 | + | 13.6677i | −0.200859 | + | 0.0917294i | −0.513305 | − | 0.858206i | \(-0.671579\pi\) |
0.312446 | + | 0.949936i | \(0.398852\pi\) | |||||||
\(150\) | −16.4861 | − | 49.5487i | −0.109907 | − | 0.330325i | ||||
\(151\) | −123.953 | − | 23.8900i | −0.820881 | − | 0.158212i | −0.238515 | − | 0.971139i | \(-0.576661\pi\) |
−0.582366 | + | 0.812927i | \(0.697873\pi\) | |||||||
\(152\) | 108.639 | + | 37.6004i | 0.714732 | + | 0.247371i | ||||
\(153\) | 100.489 | + | 91.3856i | 0.656789 | + | 0.597292i | ||||
\(154\) | −7.99099 | − | 167.752i | −0.0518896 | − | 1.08930i | ||||
\(155\) | 23.4457 | − | 58.5646i | 0.151263 | − | 0.377836i | ||||
\(156\) | 85.9643 | + | 62.7825i | 0.551053 | + | 0.402452i | ||||
\(157\) | −5.96713 | − | 3.07627i | −0.0380072 | − | 0.0195941i | 0.439118 | − | 0.898429i | \(-0.355291\pi\) |
−0.477125 | + | 0.878835i | \(0.658321\pi\) | |||||||
\(158\) | 24.6454 | + | 21.3554i | 0.155984 | + | 0.135160i | ||||
\(159\) | −51.8814 | + | 144.278i | −0.326298 | + | 0.907409i | ||||
\(160\) | −69.4370 | − | 200.625i | −0.433981 | − | 1.25391i | ||||
\(161\) | −93.4954 | + | 13.4426i | −0.580717 | + | 0.0834945i | ||||
\(162\) | −58.5237 | + | 37.5790i | −0.361257 | + | 0.231969i | ||||
\(163\) | 33.8814 | − | 58.6843i | 0.207861 | − | 0.360026i | −0.743179 | − | 0.669092i | \(-0.766683\pi\) |
0.951041 | + | 0.309066i | \(0.100016\pi\) | |||||||
\(164\) | −8.69496 | + | 5.02004i | −0.0530181 | + | 0.0306100i | ||||
\(165\) | −117.079 | + | 381.732i | −0.709567 | + | 2.31353i | ||||
\(166\) | 14.9946 | − | 7.73024i | 0.0903288 | − | 0.0465677i | ||||
\(167\) | −14.0822 | + | 147.475i | −0.0843246 | + | 0.883087i | 0.850028 | + | 0.526737i | \(0.176585\pi\) |
−0.934353 | + | 0.356349i | \(0.884021\pi\) | |||||||
\(168\) | −28.5207 | + | 182.773i | −0.169766 | + | 1.08793i | ||||
\(169\) | 45.0888 | − | 23.2449i | 0.266798 | − | 0.137544i | ||||
\(170\) | 84.7339 | + | 20.5562i | 0.498435 | + | 0.120919i | ||||
\(171\) | 65.2829 | + | 152.531i | 0.381771 | + | 0.891995i | ||||
\(172\) | 35.4674 | − | 61.4314i | 0.206206 | − | 0.357159i | ||||
\(173\) | 80.2982 | − | 84.2144i | 0.464152 | − | 0.486788i | −0.449503 | − | 0.893279i | \(-0.648399\pi\) |
0.913655 | + | 0.406490i | \(0.133248\pi\) | |||||||
\(174\) | 6.00973 | + | 72.0626i | 0.0345387 | + | 0.414153i | ||||
\(175\) | −65.5600 | − | 189.423i | −0.374628 | − | 1.08242i | ||||
\(176\) | −42.8910 | + | 146.073i | −0.243699 | + | 0.829962i | ||||
\(177\) | −141.669 | − | 138.364i | −0.800392 | − | 0.781716i | ||||
\(178\) | 126.004 | + | 64.9595i | 0.707887 | + | 0.364941i | ||||
\(179\) | 73.5365 | − | 114.425i | 0.410819 | − | 0.639246i | −0.572761 | − | 0.819723i | \(-0.694128\pi\) |
0.983579 | + | 0.180476i | \(0.0577639\pi\) | |||||||
\(180\) | 94.7226 | − | 173.392i | 0.526237 | − | 0.963289i | ||||
\(181\) | −2.05052 | − | 43.0456i | −0.0113288 | − | 0.237821i | −0.997429 | − | 0.0716670i | \(-0.977168\pi\) |
0.986100 | − | 0.166154i | \(-0.0531349\pi\) | |||||||
\(182\) | −75.2121 | − | 53.5583i | −0.413253 | − | 0.294276i | ||||
\(183\) | 111.405 | − | 268.883i | 0.608772 | − | 1.46930i | ||||
\(184\) | −58.4956 | − | 11.2741i | −0.317911 | − | 0.0612723i | ||||
\(185\) | 163.186 | + | 407.619i | 0.882087 | + | 2.20335i | ||||
\(186\) | −22.5270 | + | 8.70637i | −0.121113 | + | 0.0468085i | ||||
\(187\) | −195.497 | − | 225.616i | −1.04544 | − | 1.20650i | ||||
\(188\) | 262.555 | − | 63.6953i | 1.39657 | − | 0.338805i | ||||
\(189\) | −222.900 | + | 146.934i | −1.17937 | + | 0.777429i | ||||
\(190\) | 83.7185 | + | 65.8369i | 0.440624 | + | 0.346510i | ||||
\(191\) | −188.888 | − | 8.99783i | −0.988941 | − | 0.0471091i | −0.453128 | − | 0.891446i | \(-0.649692\pi\) |
−0.535813 | + | 0.844337i | \(0.679995\pi\) | |||||||
\(192\) | 5.19429 | − | 9.78548i | 0.0270536 | − | 0.0509660i | ||||
\(193\) | 161.753 | − | 47.4948i | 0.838096 | − | 0.246087i | 0.165605 | − | 0.986192i | \(-0.447042\pi\) |
0.672491 | + | 0.740105i | \(0.265224\pi\) | |||||||
\(194\) | 61.8233 | − | 44.0242i | 0.318677 | − | 0.226929i | ||||
\(195\) | 125.181 | + | 180.332i | 0.641953 | + | 0.924778i | ||||
\(196\) | −22.6456 | + | 157.504i | −0.115539 | + | 0.803590i | ||||
\(197\) | −1.12530 | − | 5.83862i | −0.00571219 | − | 0.0296377i | 0.978961 | − | 0.204049i | \(-0.0654100\pi\) |
−0.984673 | + | 0.174411i | \(0.944198\pi\) | |||||||
\(198\) | 137.510 | − | 66.7656i | 0.694496 | − | 0.337200i | ||||
\(199\) | −236.711 | + | 22.6031i | −1.18950 | + | 0.113584i | −0.670977 | − | 0.741479i | \(-0.734125\pi\) |
−0.518525 | + | 0.855062i | \(0.673519\pi\) | |||||||
\(200\) | − | 126.419i | − | 0.632093i | ||||||
\(201\) | −124.678 | + | 157.659i | −0.620291 | + | 0.784372i | ||||
\(202\) | −49.5811 | −0.245451 | ||||||||
\(203\) | 26.3854 | + | 276.320i | 0.129977 | + | 1.36118i | ||||
\(204\) | 72.3219 | + | 128.809i | 0.354519 | + | 0.631418i | ||||
\(205\) | −20.3306 | + | 3.91841i | −0.0991737 | + | 0.0191142i | ||||
\(206\) | 53.3099 | + | 7.66480i | 0.258786 | + | 0.0372078i | ||||
\(207\) | −44.7332 | − | 73.4212i | −0.216102 | − | 0.354692i | ||||
\(208\) | 48.5509 | + | 68.1802i | 0.233418 | + | 0.327789i | ||||
\(209\) | −102.736 | − | 349.887i | −0.491560 | − | 1.67410i | ||||
\(210\) | −80.3509 | + | 151.373i | −0.382623 | + | 0.720822i | ||||
\(211\) | 6.06306 | − | 127.279i | 0.0287349 | − | 0.603219i | −0.937876 | − | 0.346971i | \(-0.887210\pi\) |
0.966611 | − | 0.256249i | \(-0.0824866\pi\) | |||||||
\(212\) | −103.078 | + | 131.075i | −0.486218 | + | 0.618276i | ||||
\(213\) | −206.157 | − | 243.767i | −0.967875 | − | 1.14444i | ||||
\(214\) | 22.5215 | + | 92.8350i | 0.105241 | + | 0.433809i | ||||
\(215\) | 110.553 | − | 95.7949i | 0.514201 | − | 0.445558i | ||||
\(216\) | −163.156 | + | 41.5929i | −0.755353 | + | 0.192560i | ||||
\(217\) | −86.0642 | + | 34.4549i | −0.396609 | + | 0.158778i | ||||
\(218\) | 2.30120 | − | 11.9397i | 0.0105559 | − | 0.0547694i | ||||
\(219\) | −27.9719 | + | 67.5117i | −0.127725 | + | 0.308272i | ||||
\(220\) | −251.890 | + | 353.730i | −1.14496 | + | 1.60786i | ||||
\(221\) | −163.944 | + | 7.80963i | −0.741829 | + | 0.0353377i | ||||
\(222\) | 71.6581 | − | 152.055i | 0.322784 | − | 0.684934i | ||||
\(223\) | 79.4564 | + | 51.0636i | 0.356307 | + | 0.228985i | 0.706532 | − | 0.707681i | \(-0.250259\pi\) |
−0.350225 | + | 0.936666i | \(0.613895\pi\) | |||||||
\(224\) | −142.962 | + | 277.308i | −0.638223 | + | 1.23798i | ||||
\(225\) | 135.027 | − | 122.700i | 0.600119 | − | 0.545333i | ||||
\(226\) | −57.3342 | − | 16.8348i | −0.253691 | − | 0.0744904i | ||||
\(227\) | 229.497 | − | 79.4296i | 1.01100 | − | 0.349910i | 0.229159 | − | 0.973389i | \(-0.426402\pi\) |
0.781840 | + | 0.623479i | \(0.214281\pi\) | |||||||
\(228\) | 14.9963 | + | 179.821i | 0.0657734 | + | 0.788687i | ||||
\(229\) | 40.0169 | + | 38.1560i | 0.174746 | + | 0.166620i | 0.772405 | − | 0.635130i | \(-0.219054\pi\) |
−0.597659 | + | 0.801751i | \(0.703902\pi\) | |||||||
\(230\) | −47.7957 | − | 27.5949i | −0.207807 | − | 0.119978i | ||||
\(231\) | 524.730 | − | 262.598i | 2.27156 | − | 1.13679i | ||||
\(232\) | −41.2726 | + | 170.128i | −0.177899 | + | 0.733310i | ||||
\(233\) | −49.1823 | − | 95.4003i | −0.211083 | − | 0.409443i | 0.759396 | − | 0.650628i | \(-0.225494\pi\) |
−0.970479 | + | 0.241185i | \(0.922464\pi\) | |||||||
\(234\) | 17.8802 | − | 82.1178i | 0.0764112 | − | 0.350931i | ||||
\(235\) | 554.628 | + | 52.9605i | 2.36012 | + | 0.225364i | ||||
\(236\) | −98.6882 | − | 191.428i | −0.418170 | − | 0.811137i | ||||
\(237\) | −33.4090 | + | 108.929i | −0.140966 | + | 0.459617i | ||||
\(238\) | −64.0667 | − | 110.967i | −0.269188 | − | 0.466247i | ||||
\(239\) | 134.236 | + | 77.5009i | 0.561655 | + | 0.324272i | 0.753810 | − | 0.657093i | \(-0.228214\pi\) |
−0.192154 | + | 0.981365i | \(0.561547\pi\) | |||||||
\(240\) | 113.713 | − | 105.850i | 0.473803 | − | 0.441041i | ||||
\(241\) | 31.7036 | + | 220.503i | 0.131550 | + | 0.914951i | 0.943535 | + | 0.331273i | \(0.107478\pi\) |
−0.811985 | + | 0.583678i | \(0.801613\pi\) | |||||||
\(242\) | −219.310 | + | 75.9040i | −0.906240 | + | 0.313653i | ||||
\(243\) | −202.782 | − | 133.897i | −0.834495 | − | 0.551015i | ||||
\(244\) | 207.288 | − | 239.223i | 0.849541 | − | 0.980423i | ||||
\(245\) | −150.365 | + | 291.668i | −0.613736 | + | 1.19048i | ||||
\(246\) | 6.40123 | + | 4.67503i | 0.0260213 | + | 0.0190042i | ||||
\(247\) | −186.124 | − | 74.5129i | −0.753540 | − | 0.301672i | ||||
\(248\) | −58.4009 | + | 2.78198i | −0.235488 | + | 0.0112177i | ||||
\(249\) | 45.8908 | + | 36.9884i | 0.184300 | + | 0.148548i | ||||
\(250\) | −8.93380 | + | 25.8125i | −0.0357352 | + | 0.103250i | ||||
\(251\) | 34.3743 | − | 178.351i | 0.136949 | − | 0.710560i | −0.846927 | − | 0.531709i | \(-0.821550\pi\) |
0.983876 | − | 0.178851i | \(-0.0572380\pi\) | |||||||
\(252\) | −280.474 | + | 75.0949i | −1.11299 | + | 0.297996i | ||||
\(253\) | 78.4977 | + | 171.886i | 0.310268 | + | 0.679391i | ||||
\(254\) | −61.9326 | + | 53.6649i | −0.243829 | + | 0.211279i | ||||
\(255\) | 54.0605 | + | 299.803i | 0.212002 | + | 1.17570i | ||||
\(256\) | −69.7110 | + | 66.4694i | −0.272309 | + | 0.259646i | ||||
\(257\) | 254.242 | − | 323.295i | 0.989267 | − | 1.25796i | 0.0231822 | − | 0.999731i | \(-0.492620\pi\) |
0.966085 | − | 0.258224i | \(-0.0831374\pi\) | |||||||
\(258\) | −55.6816 | − | 5.99182i | −0.215820 | − | 0.0232241i | ||||
\(259\) | 268.043 | − | 586.932i | 1.03491 | − | 2.26615i | ||||
\(260\) | 67.2628 | + | 229.076i | 0.258703 | + | 0.881061i | ||||
\(261\) | −221.771 | + | 121.041i | −0.849698 | + | 0.463758i | ||||
\(262\) | 92.1520 | − | 72.4691i | 0.351725 | − | 0.276600i | ||||
\(263\) | −222.834 | − | 32.0387i | −0.847277 | − | 0.121820i | −0.295017 | − | 0.955492i | \(-0.595325\pi\) |
−0.552260 | + | 0.833672i | \(0.686234\pi\) | |||||||
\(264\) | 366.903 | − | 48.2678i | 1.38979 | − | 0.182833i | ||||
\(265\) | −289.286 | + | 185.913i | −1.09164 | + | 0.701557i | ||||
\(266\) | −14.8777 | − | 155.807i | −0.0559313 | − | 0.585739i | ||||
\(267\) | −29.5007 | + | 494.424i | −0.110490 | + | 1.85178i | ||||
\(268\) | −182.796 | + | 119.888i | −0.682074 | + | 0.447341i | ||||
\(269\) | 411.493i | 1.52971i | 0.644201 | + | 0.764857i | \(0.277190\pi\) | ||||
−0.644201 | + | 0.764857i | \(0.722810\pi\) | |||||||
\(270\) | −155.443 | − | 13.0237i | −0.575716 | − | 0.0482358i | ||||
\(271\) | 159.443 | − | 102.467i | 0.588349 | − | 0.378109i | −0.212334 | − | 0.977197i | \(-0.568107\pi\) |
0.800683 | + | 0.599088i | \(0.204470\pi\) | |||||||
\(272\) | 21.9822 | + | 114.055i | 0.0808170 | + | 0.419318i | ||||
\(273\) | 64.8481 | − | 316.015i | 0.237539 | − | 1.15757i | ||||
\(274\) | −11.1959 | + | 8.80456i | −0.0408610 | + | 0.0321334i | ||||
\(275\) | −326.643 | + | 232.602i | −1.18779 | + | 0.845824i | ||||
\(276\) | −20.9529 | − | 91.1269i | −0.0759164 | − | 0.330170i | ||||
\(277\) | −206.800 | + | 452.828i | −0.746570 | + | 1.63476i | 0.0258650 | + | 0.999665i | \(0.491766\pi\) |
−0.772435 | + | 0.635094i | \(0.780961\pi\) | |||||||
\(278\) | −6.04156 | − | 0.287795i | −0.0217322 | − | 0.00103523i | ||||
\(279\) | −59.6545 | − | 59.6775i | −0.213816 | − | 0.213898i | ||||
\(280\) | −300.268 | + | 286.305i | −1.07239 | + | 1.02252i | ||||
\(281\) | −74.4166 | + | 18.0533i | −0.264828 | + | 0.0642465i | −0.365974 | − | 0.930625i | \(-0.619264\pi\) |
0.101146 | + | 0.994872i | \(0.467749\pi\) | |||||||
\(282\) | −129.833 | − | 169.235i | −0.460399 | − | 0.600123i | ||||
\(283\) | −226.493 | − | 495.951i | −0.800329 | − | 1.75248i | −0.644371 | − | 0.764713i | \(-0.722881\pi\) |
−0.155958 | − | 0.987764i | \(-0.549847\pi\) | |||||||
\(284\) | −129.046 | − | 322.342i | −0.454388 | − | 1.13501i | ||||
\(285\) | −92.0614 | + | 360.548i | −0.323023 | + | 1.26508i | ||||
\(286\) | −60.4137 | + | 174.554i | −0.211237 | + | 0.610328i | ||||
\(287\) | 24.7850 | + | 17.6493i | 0.0863590 | + | 0.0614960i | ||||
\(288\) | −283.248 | − | 20.3131i | −0.983499 | − | 0.0705317i | ||||
\(289\) | 56.8448 | + | 22.7572i | 0.196695 | + | 0.0787447i | ||||
\(290\) | −87.6835 | + | 136.438i | −0.302357 | + | 0.470476i | ||||
\(291\) | 228.040 | + | 135.332i | 0.783642 | + | 0.465058i | ||||
\(292\) | −52.0463 | + | 60.0647i | −0.178241 | + | 0.205701i | ||||
\(293\) | 70.1785 | − | 239.006i | 0.239517 | − | 0.815720i | −0.748733 | − | 0.662872i | \(-0.769337\pi\) |
0.988250 | − | 0.152848i | \(-0.0488446\pi\) | |||||||
\(294\) | 120.955 | − | 33.9449i | 0.411411 | − | 0.115459i | ||||
\(295\) | −63.2075 | − | 439.618i | −0.214263 | − | 1.49023i | ||||
\(296\) | 280.822 | − | 294.517i | 0.948722 | − | 0.994991i | ||||
\(297\) | 407.666 | + | 345.039i | 1.37261 | + | 1.16175i | ||||
\(298\) | 14.1252 | + | 24.4656i | 0.0474000 | + | 0.0820993i | ||||
\(299\) | 100.961 | + | 24.4929i | 0.337662 | + | 0.0819160i | ||||
\(300\) | 181.472 | − | 80.2584i | 0.604905 | − | 0.267528i | ||||
\(301\) | −213.998 | − | 20.4343i | −0.710957 | − | 0.0678882i | ||||
\(302\) | −10.3031 | + | 107.899i | −0.0341163 | + | 0.357283i | ||||
\(303\) | −70.0672 | − | 158.428i | −0.231245 | − | 0.522865i | ||||
\(304\) | −33.4499 | + | 137.883i | −0.110033 | + | 0.453561i | ||||
\(305\) | 565.314 | − | 326.384i | 1.85349 | − | 1.07011i | ||||
\(306\) | 69.9105 | − | 93.3519i | 0.228466 | − | 0.305072i | ||||
\(307\) | 155.898 | + | 148.648i | 0.507810 | + | 0.484196i | 0.900123 | − | 0.435636i | \(-0.143476\pi\) |
−0.392313 | + | 0.919832i | \(0.628325\pi\) | |||||||
\(308\) | 631.662 | − | 90.8193i | 2.05085 | − | 0.294868i | ||||
\(309\) | 50.8450 | + | 181.175i | 0.164547 | + | 0.586326i | ||||
\(310\) | −51.9719 | − | 15.2603i | −0.167651 | − | 0.0492269i | ||||
\(311\) | −274.616 | − | 237.957i | −0.883011 | − | 0.765133i | 0.0899879 | − | 0.995943i | \(-0.471317\pi\) |
−0.972999 | + | 0.230809i | \(0.925863\pi\) | |||||||
\(312\) | 103.835 | − | 174.967i | 0.332806 | − | 0.560791i | ||||
\(313\) | −53.1436 | − | 34.1533i | −0.169788 | − | 0.109116i | 0.452987 | − | 0.891517i | \(-0.350358\pi\) |
−0.622775 | + | 0.782401i | \(0.713995\pi\) | |||||||
\(314\) | −2.14242 | + | 5.35151i | −0.00682300 | + | 0.0170430i | ||||
\(315\) | −597.237 | − | 42.8309i | −1.89599 | − | 0.135971i | ||||
\(316\) | −71.8783 | + | 100.939i | −0.227463 | + | 0.319427i | ||||
\(317\) | 483.414 | + | 167.311i | 1.52497 | + | 0.527796i | 0.955696 | − | 0.294355i | \(-0.0951047\pi\) |
0.569270 | + | 0.822151i | \(0.307226\pi\) | |||||||
\(318\) | 127.557 | + | 32.5700i | 0.401122 | + | 0.102421i | ||||
\(319\) | 515.520 | − | 206.383i | 1.61605 | − | 0.646969i | ||||
\(320\) | 22.6020 | − | 10.3220i | 0.0706311 | − | 0.0322562i | ||||
\(321\) | −264.812 | + | 203.157i | −0.824959 | + | 0.632887i | ||||
\(322\) | 19.1211 | + | 78.8184i | 0.0593824 | + | 0.244778i | ||||
\(323\) | −191.994 | − | 201.358i | −0.594409 | − | 0.623399i | ||||
\(324\) | −163.288 | − | 207.802i | −0.503975 | − | 0.641365i | ||||
\(325\) | −10.4901 | + | 220.215i | −0.0322773 | + | 0.677585i | ||||
\(326\) | −52.9260 | − | 24.1705i | −0.162350 | − | 0.0741427i | ||||
\(327\) | 41.4035 | − | 9.51995i | 0.126616 | − | 0.0291130i | ||||
\(328\) | 11.1311 | + | 15.6315i | 0.0339363 | + | 0.0476569i | ||||
\(329\) | −506.128 | − | 643.594i | −1.53838 | − | 1.95621i | ||||
\(330\) | 335.843 | + | 68.9168i | 1.01771 | + | 0.208839i | ||||
\(331\) | −68.8117 | + | 13.2624i | −0.207890 | + | 0.0400676i | −0.292133 | − | 0.956378i | \(-0.594365\pi\) |
0.0842427 | + | 0.996445i | \(0.473153\pi\) | |||||||
\(332\) | 34.6570 | + | 53.9273i | 0.104389 | + | 0.162432i | ||||
\(333\) | 587.133 | + | 14.0896i | 1.76316 | + | 0.0423110i | ||||
\(334\) | 127.205 | 0.380852 | ||||||||
\(335\) | −437.094 | + | 110.343i | −1.30476 | + | 0.329383i | ||||
\(336\) | −227.896 | − | 13.5979i | −0.678263 | − | 0.0404698i | ||||
\(337\) | 3.68973 | − | 0.352326i | 0.0109487 | − | 0.00104548i | −0.0895802 | − | 0.995980i | \(-0.528553\pi\) |
0.100529 | + | 0.994934i | \(0.467946\pi\) | |||||||
\(338\) | −23.5488 | − | 36.6427i | −0.0696710 | − | 0.108410i | ||||
\(339\) | −27.2308 | − | 206.993i | −0.0803269 | − | 0.610598i | ||||
\(340\) | −47.1514 | + | 327.945i | −0.138681 | + | 0.964544i | ||||
\(341\) | 114.642 | + | 145.779i | 0.336194 | + | 0.427505i | ||||
\(342\) | 125.048 | − | 68.2503i | 0.365639 | − | 0.199562i | ||||
\(343\) | −2.18293 | + | 0.640967i | −0.00636424 | + | 0.00186871i | ||||
\(344\) | −123.326 | − | 56.3213i | −0.358507 | − | 0.163725i | ||||
\(345\) | 20.6307 | − | 191.720i | 0.0597991 | − | 0.555710i | ||||
\(346\) | −78.5365 | − | 61.7618i | −0.226984 | − | 0.178502i | ||||
\(347\) | 215.233 | + | 225.730i | 0.620269 | + | 0.650519i | 0.956661 | − | 0.291203i | \(-0.0940554\pi\) |
−0.336393 | + | 0.941722i | \(0.609207\pi\) | |||||||
\(348\) | −270.418 | + | 48.7619i | −0.777064 | + | 0.140120i | ||||
\(349\) | −138.028 | − | 159.293i | −0.395495 | − | 0.456426i | 0.522722 | − | 0.852503i | \(-0.324917\pi\) |
−0.918217 | + | 0.396077i | \(0.870371\pi\) | |||||||
\(350\) | −156.559 | + | 71.4982i | −0.447312 | + | 0.204281i | ||||
\(351\) | 287.662 | − | 58.9143i | 0.819550 | − | 0.167847i | ||||
\(352\) | 612.860 | + | 118.119i | 1.74108 | + | 0.335566i | ||||
\(353\) | 143.544 | + | 49.6811i | 0.406640 | + | 0.140740i | 0.522728 | − | 0.852499i | \(-0.324914\pi\) |
−0.116088 | + | 0.993239i | \(0.537035\pi\) | |||||||
\(354\) | −106.704 | + | 132.386i | −0.301424 | + | 0.373971i | ||||
\(355\) | −34.0700 | − | 715.217i | −0.0959718 | − | 2.01470i | ||||
\(356\) | −200.208 | + | 500.094i | −0.562381 | + | 1.40476i | ||||
\(357\) | 264.038 | − | 361.531i | 0.739602 | − | 1.01269i | ||||
\(358\) | −103.807 | − | 53.5164i | −0.289965 | − | 0.149487i | ||||
\(359\) | 441.858 | + | 382.872i | 1.23080 | + | 1.06650i | 0.995518 | + | 0.0945683i | \(0.0301471\pi\) |
0.235283 | + | 0.971927i | \(0.424398\pi\) | |||||||
\(360\) | −347.115 | − | 148.722i | −0.964207 | − | 0.413117i | ||||
\(361\) | 6.91838 | + | 19.9894i | 0.0191645 | + | 0.0553722i | ||||
\(362\) | −36.6261 | + | 5.26603i | −0.101177 | + | 0.0145471i | ||||
\(363\) | −552.464 | − | 593.503i | −1.52194 | − | 1.63499i | ||||
\(364\) | 175.426 | − | 303.848i | 0.481941 | − | 0.834746i | ||||
\(365\) | −141.940 | + | 81.9492i | −0.388877 | + | 0.224518i | ||||
\(366\) | −238.922 | − | 73.2781i | −0.652791 | − | 0.200213i | ||||
\(367\) | 77.6366 | − | 40.0244i | 0.211544 | − | 0.109058i | −0.349199 | − | 0.937049i | \(-0.613546\pi\) |
0.560742 | + | 0.827990i | \(0.310516\pi\) | |||||||
\(368\) | 6.98869 | − | 73.1889i | 0.0189910 | − | 0.198883i | ||||
\(369\) | −5.89216 | + | 27.0607i | −0.0159679 | + | 0.0733353i | ||||
\(370\) | 335.095 | − | 172.754i | 0.905663 | − | 0.466902i | ||||
\(371\) | 491.100 | + | 119.139i | 1.32372 | + | 0.321131i | ||||
\(372\) | −41.0701 | − | 82.0673i | −0.110403 | − | 0.220611i | ||||
\(373\) | 108.928 | − | 188.670i | 0.292033 | − | 0.505816i | −0.682257 | − | 0.731112i | \(-0.739002\pi\) |
0.974290 | + | 0.225296i | \(0.0723349\pi\) | |||||||
\(374\) | −176.890 | + | 185.517i | −0.472967 | + | 0.496034i | ||||
\(375\) | −95.1047 | + | 7.93135i | −0.253612 | + | 0.0211503i | ||||
\(376\) | −168.891 | − | 487.980i | −0.449180 | − | 1.29782i | ||||
\(377\) | 86.0121 | − | 292.930i | 0.228149 | − | 0.777003i | ||||
\(378\) | 143.786 | + | 178.533i | 0.380385 | + | 0.472308i | ||||
\(379\) | −412.329 | − | 212.570i | −1.08794 | − | 0.560872i | −0.181579 | − | 0.983376i | \(-0.558121\pi\) |
−0.906361 | + | 0.422505i | \(0.861151\pi\) | |||||||
\(380\) | −218.800 | + | 340.460i | −0.575790 | + | 0.895946i | ||||
\(381\) | −258.999 | − | 122.057i | −0.679788 | − | 0.320359i | ||||
\(382\) | 7.72592 | + | 162.187i | 0.0202249 | + | 0.424573i | ||||
\(383\) | 399.220 | + | 284.283i | 1.04235 | + | 0.742254i | 0.966967 | − | 0.254900i | \(-0.0820426\pi\) |
0.0753832 | + | 0.997155i | \(0.475982\pi\) | |||||||
\(384\) | −358.586 | − | 148.572i | −0.933817 | − | 0.386905i | ||||
\(385\) | 1292.24 | + | 249.058i | 3.35646 | + | 0.646904i | ||||
\(386\) | −53.7985 | − | 134.382i | −0.139374 | − | 0.348140i | ||||
\(387\) | −59.5425 | − | 186.389i | −0.153857 | − | 0.481625i | ||||
\(388\) | 188.860 | + | 217.956i | 0.486752 | + | 0.561741i | ||||
\(389\) | 340.613 | − | 82.6319i | 0.875613 | − | 0.212421i | 0.227327 | − | 0.973819i | \(-0.427001\pi\) |
0.648286 | + | 0.761397i | \(0.275486\pi\) | |||||||
\(390\) | 143.922 | − | 121.717i | 0.369031 | − | 0.312096i | ||||
\(391\) | 113.326 | + | 89.1207i | 0.289837 | + | 0.227930i | ||||
\(392\) | 303.789 | + | 14.4713i | 0.774972 | + | 0.0369165i | ||||
\(393\) | 361.791 | + | 192.044i | 0.920587 | + | 0.488662i | ||||
\(394\) | −4.89874 | + | 1.43840i | −0.0124333 | + | 0.00365076i | ||||
\(395\) | −208.158 | + | 148.228i | −0.526981 | + | 0.375262i | ||||
\(396\) | 302.221 | + | 496.040i | 0.763184 | + | 1.25263i | ||||
\(397\) | −108.414 | + | 754.037i | −0.273083 | + | 1.89934i | 0.142521 | + | 0.989792i | \(0.454479\pi\) |
−0.415604 | + | 0.909546i | \(0.636430\pi\) | |||||||
\(398\) | 38.6403 | + | 200.485i | 0.0970861 | + | 0.503731i | ||||
\(399\) | 476.829 | − | 267.723i | 1.19506 | − | 0.670984i | ||||
\(400\) | 155.315 | − | 14.8308i | 0.388287 | − | 0.0370769i | ||||
\(401\) | − | 493.919i | − | 1.23172i | −0.787856 | − | 0.615859i | \(-0.788809\pi\) | ||
0.787856 | − | 0.615859i | \(-0.211191\pi\) | |||||||
\(402\) | 144.936 | + | 93.7015i | 0.360537 | + | 0.233088i | ||||
\(403\) | 101.963 | 0.253009 | ||||||||
\(404\) | −17.9087 | − | 187.549i | −0.0443286 | − | 0.464230i | ||||
\(405\) | −178.055 | − | 515.099i | −0.439642 | − | 1.27185i | ||||
\(406\) | 234.033 | − | 45.1061i | 0.576435 | − | 0.111099i | ||||
\(407\) | −1277.67 | − | 183.702i | −3.13925 | − | 0.451356i | ||||
\(408\) | 231.940 | − | 161.006i | 0.568481 | − | 0.394622i | ||||
\(409\) | −302.210 | − | 424.394i | −0.738899 | − | 1.03764i | −0.997431 | − | 0.0716358i | \(-0.977178\pi\) |
0.258532 | − | 0.966003i | \(-0.416761\pi\) | |||||||
\(410\) | 5.00864 | + | 17.0579i | 0.0122162 | + | 0.0416046i | ||||
\(411\) | −43.9554 | − | 23.3322i | −0.106947 | − | 0.0567694i | ||||
\(412\) | −9.73782 | + | 204.422i | −0.0236355 | + | 0.496170i | ||||
\(413\) | −403.465 | + | 513.048i | −0.976914 | + | 1.24225i | ||||
\(414\) | −59.1061 | + | 44.2285i | −0.142768 | + | 0.106832i | ||||
\(415\) | 31.1662 | + | 128.469i | 0.0750993 | + | 0.309564i | ||||
\(416\) | 259.332 | − | 224.713i | 0.623395 | − | 0.540175i | ||||
\(417\) | −7.61823 | − | 19.7115i | −0.0182691 | − | 0.0472698i | ||||
\(418\) | −290.682 | + | 116.372i | −0.695412 | + | 0.278401i | ||||
\(419\) | 104.690 | − | 543.183i | 0.249857 | − | 1.29638i | −0.612658 | − | 0.790348i | \(-0.709900\pi\) |
0.862515 | − | 0.506032i | \(-0.168888\pi\) | |||||||
\(420\) | −601.615 | − | 249.265i | −1.43242 | − | 0.593488i | ||||
\(421\) | 62.1934 | − | 87.3384i | 0.147728 | − | 0.207455i | −0.734081 | − | 0.679062i | \(-0.762387\pi\) |
0.881809 | + | 0.471607i | \(0.156326\pi\) | |||||||
\(422\) | −109.287 | + | 5.20600i | −0.258975 | + | 0.0123365i | ||||
\(423\) | 357.285 | − | 654.018i | 0.844644 | − | 1.54614i | ||||
\(424\) | 268.117 | + | 172.308i | 0.632351 | + | 0.406388i | ||||
\(425\) | −140.193 | + | 271.936i | −0.329866 | + | 0.639850i | ||||
\(426\) | −191.534 | + | 196.110i | −0.449611 | + | 0.460352i | ||||
\(427\) | −920.424 | − | 270.261i | −2.15556 | − | 0.632930i | ||||
\(428\) | −343.029 | + | 118.724i | −0.801470 | + | 0.277392i | ||||
\(429\) | −643.134 | + | 53.6348i | −1.49915 | + | 0.125023i | ||||
\(430\) | −90.9044 | − | 86.6771i | −0.211406 | − | 0.201575i | ||||
\(431\) | −19.1394 | − | 11.0502i | −0.0444070 | − | 0.0256384i | 0.477632 | − | 0.878560i | \(-0.341495\pi\) |
−0.522039 | + | 0.852922i | \(0.674829\pi\) | |||||||
\(432\) | −70.2407 | − | 195.570i | −0.162594 | − | 0.452709i | ||||
\(433\) | 14.6507 | − | 60.3908i | 0.0338352 | − | 0.139471i | −0.952389 | − | 0.304887i | \(-0.901381\pi\) |
0.986224 | + | 0.165416i | \(0.0528966\pi\) | |||||||
\(434\) | 36.4750 | + | 70.7516i | 0.0840437 | + | 0.163022i | ||||
\(435\) | −559.878 | − | 87.3658i | −1.28708 | − | 0.200841i | ||||
\(436\) | 45.9952 | + | 4.39201i | 0.105494 | + | 0.0100734i | ||||
\(437\) | 80.6962 | + | 156.529i | 0.184659 | + | 0.358189i | ||||
\(438\) | 59.9889 | + | 18.3988i | 0.136961 | + | 0.0420065i | ||||
\(439\) | 331.574 | + | 574.303i | 0.755294 | + | 1.30821i | 0.945228 | + | 0.326410i | \(0.105839\pi\) |
−0.189934 | + | 0.981797i | \(0.560828\pi\) | |||||||
\(440\) | 718.790 | + | 414.994i | 1.63361 | + | 0.943168i | ||||
\(441\) | 279.397 | + | 338.521i | 0.633553 | + | 0.767621i | ||||
\(442\) | 20.0563 | + | 139.495i | 0.0453763 | + | 0.315599i | ||||
\(443\) | 120.492 | − | 41.7027i | 0.271991 | − | 0.0941371i | −0.187668 | − | 0.982233i | \(-0.560093\pi\) |
0.459659 | + | 0.888095i | \(0.347972\pi\) | |||||||
\(444\) | 601.058 | + | 216.136i | 1.35373 | + | 0.486793i | ||||
\(445\) | −727.469 | + | 839.544i | −1.63476 | + | 1.88661i | ||||
\(446\) | 37.1616 | − | 72.0835i | 0.0833221 | − | 0.161622i | ||||
\(447\) | −58.2142 | + | 79.7091i | −0.130233 | + | 0.178320i | ||||
\(448\) | −33.8991 | − | 13.5711i | −0.0756676 | − | 0.0302927i | ||||
\(449\) | −69.0253 | + | 3.28808i | −0.153731 | + | 0.00732312i | −0.124306 | − | 0.992244i | \(-0.539671\pi\) |
−0.0294248 | + | 0.999567i | \(0.509368\pi\) | |||||||
\(450\) | −115.899 | − | 105.400i | −0.257554 | − | 0.234222i | ||||
\(451\) | 19.9084 | − | 57.5217i | 0.0441429 | − | 0.127543i | ||||
\(452\) | 42.9714 | − | 222.957i | 0.0950695 | − | 0.493268i | ||||
\(453\) | −359.335 | + | 119.560i | −0.793233 | + | 0.263928i | ||||
\(454\) | −86.6241 | − | 189.680i | −0.190802 | − | 0.417798i | ||||
\(455\) | 546.810 | − | 473.814i | 1.20178 | − | 1.04135i | ||||
\(456\) | 339.412 | − | 61.2029i | 0.744325 | − | 0.134217i | ||||
\(457\) | −455.533 | + | 434.349i | −0.996789 | + | 0.950436i | −0.998771 | − | 0.0495617i | \(-0.984218\pi\) |
0.00198208 | + | 0.999998i | \(0.499369\pi\) | |||||||
\(458\) | 29.3479 | − | 37.3189i | 0.0640784 | − | 0.0814823i | ||||
\(459\) | 397.087 | + | 91.4638i | 0.865113 | + | 0.199268i | ||||
\(460\) | 87.1184 | − | 190.763i | 0.189388 | − | 0.414701i | ||||
\(461\) | −83.6804 | − | 284.989i | −0.181519 | − | 0.618198i | −0.999101 | − | 0.0423859i | \(-0.986504\pi\) |
0.817582 | − | 0.575812i | \(-0.195314\pi\) | |||||||
\(462\) | −267.285 | − | 427.082i | −0.578538 | − | 0.924420i | ||||
\(463\) | −373.756 | + | 293.925i | −0.807249 | + | 0.634828i | −0.934067 | − | 0.357098i | \(-0.883766\pi\) |
0.126818 | + | 0.991926i | \(0.459524\pi\) | |||||||
\(464\) | −213.857 | − | 30.7480i | −0.460899 | − | 0.0662672i | ||||
\(465\) | −24.6840 | − | 187.633i | −0.0530839 | − | 0.403513i | ||||
\(466\) | −77.5296 | + | 49.8253i | −0.166373 | + | 0.106921i | ||||
\(467\) | −37.8137 | − | 396.003i | −0.0809714 | − | 0.847971i | −0.941152 | − | 0.337982i | \(-0.890256\pi\) |
0.860181 | − | 0.509989i | \(-0.170350\pi\) | |||||||
\(468\) | 317.083 | + | 37.9739i | 0.677527 | + | 0.0811407i | ||||
\(469\) | 560.620 | + | 352.979i | 1.19535 | + | 0.752621i | ||||
\(470\) | − | 478.393i | − | 1.01786i | ||||||
\(471\) | −20.1275 | + | 0.716914i | −0.0427336 | + | 0.00152211i | ||||
\(472\) | −346.292 | + | 222.548i | −0.733670 | + | 0.471501i | ||||
\(473\) | 81.3881 | + | 422.281i | 0.172068 | + | 0.892773i | ||||
\(474\) | 95.8346 | + | 19.6658i | 0.202183 | + | 0.0414890i | ||||
\(475\) | −293.760 | + | 231.015i | −0.618441 | + | 0.486348i | ||||
\(476\) | 396.610 | − | 282.424i | 0.833213 | − | 0.593329i | ||||
\(477\) | 76.1891 | + | 453.614i | 0.159726 | + | 0.950973i | ||||
\(478\) | 55.2881 | − | 121.064i | 0.115665 | − | 0.253272i | ||||
\(479\) | 2.91198 | + | 0.138714i | 0.00607928 | + | 0.000289592i | 0.0506213 | − | 0.998718i | \(-0.483880\pi\) |
−0.0445421 | + | 0.999008i | \(0.514183\pi\) | |||||||
\(480\) | −476.302 | − | 422.828i | −0.992296 | − | 0.880891i | ||||
\(481\) | −513.617 | + | 489.733i | −1.06781 | + | 1.01816i | ||||
\(482\) | 185.889 | − | 45.0961i | 0.385661 | − | 0.0935603i | ||||
\(483\) | −224.830 | + | 172.483i | −0.465486 | + | 0.357108i | ||||
\(484\) | −366.335 | − | 802.161i | −0.756890 | − | 1.65736i | ||||
\(485\) | 221.041 | + | 552.133i | 0.455754 | + | 1.13842i | ||||
\(486\) | −97.8979 | + | 184.258i | −0.201436 | + | 0.379131i | ||||
\(487\) | −78.8474 | + | 227.815i | −0.161904 | + | 0.467792i | −0.996550 | − | 0.0829955i | \(-0.973551\pi\) |
0.834646 | + | 0.550787i | \(0.185672\pi\) | |||||||
\(488\) | −492.819 | − | 350.935i | −1.00988 | − | 0.719129i | ||||
\(489\) | 2.43865 | − | 203.274i | 0.00498702 | − | 0.415693i | ||||
\(490\) | 261.577 | + | 104.720i | 0.533831 | + | 0.213714i | ||||
\(491\) | −131.208 | + | 204.164i | −0.267227 | + | 0.415813i | −0.948771 | − | 0.315964i | \(-0.897672\pi\) |
0.681545 | + | 0.731777i | \(0.261309\pi\) | |||||||
\(492\) | −15.3719 | + | 25.9023i | −0.0312438 | + | 0.0526470i | ||||
\(493\) | 277.446 | − | 320.189i | 0.562770 | − | 0.649471i | ||||
\(494\) | −48.4989 | + | 165.172i | −0.0981760 | + | 0.334357i | ||||
\(495\) | 254.395 | + | 1170.52i | 0.513930 | + | 2.36469i | ||||
\(496\) | −10.2692 | − | 71.4236i | −0.0207040 | − | 0.143999i | ||||
\(497\) | −726.133 | + | 761.547i | −1.46103 | + | 1.53229i | ||||
\(498\) | 27.8705 | − | 42.2443i | 0.0559648 | − | 0.0848280i | ||||
\(499\) | 252.153 | + | 436.741i | 0.505316 | + | 0.875233i | 0.999981 | + | 0.00614961i | \(0.00195749\pi\) |
−0.494665 | + | 0.869084i | \(0.664709\pi\) | |||||||
\(500\) | −100.867 | − | 24.4701i | −0.201734 | − | 0.0489402i | ||||
\(501\) | 179.764 | + | 406.462i | 0.358810 | + | 0.811300i | ||||
\(502\) | −155.252 | − | 14.8247i | −0.309266 | − | 0.0295313i | ||||
\(503\) | 8.13814 | − | 85.2265i | 0.0161792 | − | 0.169436i | −0.983771 | − | 0.179429i | \(-0.942575\pi\) |
0.999950 | + | 0.00999299i | \(0.00318092\pi\) | |||||||
\(504\) | 193.837 | + | 520.002i | 0.384596 | + | 1.03175i | ||||
\(505\) | 91.5983 | − | 377.573i | 0.181383 | − | 0.747670i | ||||
\(506\) | 140.513 | − | 81.1254i | 0.277694 | − | 0.160327i | ||||
\(507\) | 83.8067 | − | 127.029i | 0.165299 | − | 0.250550i | ||||
\(508\) | −225.367 | − | 214.887i | −0.443635 | − | 0.423005i | ||||
\(509\) | 460.185 | − | 66.1646i | 0.904096 | − | 0.129989i | 0.325441 | − | 0.945562i | \(-0.394487\pi\) |
0.578654 | + | 0.815573i | \(0.303578\pi\) | |||||||
\(510\) | 251.845 | − | 70.6781i | 0.493814 | − | 0.138585i | ||||
\(511\) | 231.102 | + | 67.8577i | 0.452255 | + | 0.132794i | ||||
\(512\) | −328.617 | − | 284.748i | −0.641830 | − | 0.556149i | ||||
\(513\) | 394.799 | + | 303.121i | 0.769589 | + | 0.590880i | ||||
\(514\) | −297.088 | − | 190.927i | −0.577993 | − | 0.371454i | ||||
\(515\) | −156.856 | + | 391.808i | −0.304576 | + | 0.760793i | ||||
\(516\) | 2.55281 | − | 212.789i | 0.00494730 | − | 0.412382i | ||||
\(517\) | −950.106 | + | 1334.24i | −1.83773 | + | 2.58073i | ||||
\(518\) | −523.560 | − | 181.206i | −1.01073 | − | 0.349818i | ||||
\(519\) | 86.3630 | − | 338.231i | 0.166403 | − | 0.651698i | ||||
\(520\) | 423.632 | − | 169.597i | 0.814677 | − | 0.326147i | ||||
\(521\) | −393.026 | + | 179.489i | −0.754368 | + | 0.344509i | −0.755203 | − | 0.655491i | \(-0.772462\pi\) |
0.000834426 | 1.00000i | \(0.499734\pi\) | ||||||||
\(522\) | 121.561 | + | 179.681i | 0.232875 | + | 0.344216i | ||||
\(523\) | 182.153 | + | 750.844i | 0.348284 | + | 1.43565i | 0.829235 | + | 0.558900i | \(0.188776\pi\) |
−0.480951 | + | 0.876748i | \(0.659708\pi\) | |||||||
\(524\) | 307.412 | + | 322.404i | 0.586664 | + | 0.615276i | ||||
\(525\) | −449.708 | − | 399.219i | −0.856586 | − | 0.760418i | ||||
\(526\) | −9.19768 | + | 193.083i | −0.0174861 | + | 0.367078i | ||||
\(527\) | 128.710 | + | 58.7800i | 0.244232 | + | 0.111537i | ||||
\(528\) | 102.344 | + | 445.106i | 0.193833 | + | 0.843004i | ||||
\(529\) | 253.916 | + | 356.576i | 0.479993 | + | 0.674056i | ||||
\(530\) | 182.521 | + | 232.094i | 0.344379 | + | 0.437914i | ||||
\(531\) | −573.809 | − | 153.870i | −1.08062 | − | 0.289774i | ||||
\(532\) | 583.991 | − | 112.555i | 1.09773 | − | 0.211570i | ||||
\(533\) | −18.0928 | − | 28.1529i | −0.0339452 | − | 0.0528197i | ||||
\(534\) | 425.019 | − | 15.1386i | 0.795916 | − | 0.0283494i | ||||
\(535\) | −748.571 | −1.39920 | ||||||||
\(536\) | 261.315 | + | 326.016i | 0.487528 | + | 0.608239i | ||||
\(537\) | 24.3040 | − | 407.328i | 0.0452588 | − | 0.758524i | ||||
\(538\) | 351.725 | − | 33.5857i | 0.653765 | − | 0.0624269i | ||||
\(539\) | −521.560 | − | 811.564i | −0.967645 | − | 1.50568i | ||||
\(540\) | −6.88208 | − | 592.695i | −0.0127446 | − | 1.09758i | ||||
\(541\) | 95.3241 | − | 662.994i | 0.176200 | − | 1.22550i | −0.689258 | − | 0.724516i | \(-0.742063\pi\) |
0.865458 | − | 0.500981i | \(-0.167027\pi\) | |||||||
\(542\) | −100.598 | − | 127.921i | −0.185605 | − | 0.236016i | ||||
\(543\) | −68.5861 | − | 109.591i | −0.126310 | − | 0.201824i | ||||
\(544\) | 456.906 | − | 134.160i | 0.839901 | − | 0.246617i | ||||
\(545\) | 86.6729 | + | 39.5822i | 0.159033 | + | 0.0726279i | ||||
\(546\) | −275.408 | − | 29.6363i | −0.504411 | − | 0.0542789i | ||||
\(547\) | 515.545 | + | 405.429i | 0.942495 | + | 0.741186i | 0.966001 | − | 0.258537i | \(-0.0832405\pi\) |
−0.0235061 | + | 0.999724i | \(0.507483\pi\) | |||||||
\(548\) | −37.3487 | − | 39.1702i | −0.0681546 | − | 0.0714785i | ||||
\(549\) | −103.492 | − | 866.990i | −0.188510 | − | 1.57922i | ||||
\(550\) | 225.478 | + | 260.215i | 0.409959 | + | 0.473118i | ||||
\(551\) | 470.749 | − | 214.984i | 0.854353 | − | 0.390170i | ||||
\(552\) | −169.576 | + | 56.4222i | −0.307203 | + | 0.102214i | ||||
\(553\) | 368.747 | + | 71.0701i | 0.666811 | + | 0.128517i | ||||
\(554\) | 403.936 | + | 139.804i | 0.729126 | + | 0.252353i | ||||
\(555\) | 1025.56 | + | 826.609i | 1.84785 | + | 1.48938i | ||||
\(556\) | −1.09358 | − | 22.9572i | −0.00196688 | − | 0.0412899i | ||||
\(557\) | 65.3379 | − | 163.206i | 0.117303 | − | 0.293009i | −0.858084 | − | 0.513510i | \(-0.828345\pi\) |
0.975387 | + | 0.220501i | \(0.0707691\pi\) | |||||||
\(558\) | −46.1407 | + | 55.8608i | −0.0826894 | + | 0.100109i | ||||
\(559\) | 210.155 | + | 108.343i | 0.375949 | + | 0.193815i | ||||
\(560\) | −386.973 | − | 335.314i | −0.691024 | − | 0.598776i | ||||
\(561\) | −842.765 | − | 303.053i | −1.50225 | − | 0.540201i | ||||
\(562\) | 21.5049 | + | 62.1344i | 0.0382650 | + | 0.110559i | ||||
\(563\) | 823.668 | − | 118.426i | 1.46300 | − | 0.210347i | 0.635625 | − | 0.771998i | \(-0.280743\pi\) |
0.827374 | + | 0.561651i | \(0.189834\pi\) | |||||||
\(564\) | 593.263 | − | 552.241i | 1.05189 | − | 0.979151i | ||||
\(565\) | 234.123 | − | 405.514i | 0.414378 | − | 0.717723i | ||||
\(566\) | −405.430 | + | 234.075i | −0.716308 | + | 0.413560i | ||||
\(567\) | −367.276 | + | 711.742i | −0.647753 | + | 1.25528i | ||||
\(568\) | −589.860 | + | 304.094i | −1.03849 | + | 0.535376i | ||||
\(569\) | −55.6462 | + | 582.753i | −0.0977964 | + | 1.02417i | 0.804760 | + | 0.593600i | \(0.202294\pi\) |
−0.902557 | + | 0.430571i | \(0.858312\pi\) | |||||||
\(570\) | 315.694 | + | 49.2623i | 0.553849 | + | 0.0864251i | ||||
\(571\) | 707.185 | − | 364.579i | 1.23850 | − | 0.638492i | 0.290536 | − | 0.956864i | \(-0.406166\pi\) |
0.947966 | + | 0.318372i | \(0.103136\pi\) | |||||||
\(572\) | −682.101 | − | 165.476i | −1.19248 | − | 0.289293i | ||||
\(573\) | −507.324 | + | 253.887i | −0.885381 | + | 0.443084i | ||||
\(574\) | 13.0629 | − | 22.6256i | 0.0227577 | − | 0.0394175i | ||||
\(575\) | 133.637 | − | 140.155i | 0.232413 | − | 0.243747i | ||||
\(576\) | −0.784537 | − | 33.2267i | −0.00136204 | − | 0.0576852i | ||||
\(577\) | 102.597 | + | 296.434i | 0.177811 | + | 0.513751i | 0.998324 | − | 0.0578773i | \(-0.0184332\pi\) |
−0.820513 | + | 0.571628i | \(0.806312\pi\) | |||||||
\(578\) | 14.8122 | − | 50.4458i | 0.0256267 | − | 0.0872764i | ||||
\(579\) | 353.369 | − | 361.811i | 0.610309 | − | 0.624890i | ||||
\(580\) | −547.772 | − | 282.396i | −0.944434 | − | 0.486889i | ||||
\(581\) | 105.030 | − | 163.429i | 0.180774 | − | 0.281290i | ||||
\(582\) | 97.0632 | − | 205.964i | 0.166775 | − | 0.353890i | ||||
\(583\) | −48.1028 | − | 1009.80i | −0.0825092 | − | 1.73208i | ||||
\(584\) | 123.738 | + | 88.1135i | 0.211880 | + | 0.150879i | ||||
\(585\) | 592.316 | + | 287.871i | 1.01251 | + | 0.492086i | ||||
\(586\) | −210.019 | − | 40.4779i | −0.358395 | − | 0.0690750i | ||||
\(587\) | −80.9862 | − | 202.294i | −0.137966 | − | 0.344623i | 0.843253 | − | 0.537516i | \(-0.180637\pi\) |
−0.981220 | + | 0.192893i | \(0.938213\pi\) | |||||||
\(588\) | 172.091 | + | 445.271i | 0.292672 | + | 0.757264i | ||||
\(589\) | 113.185 | + | 130.623i | 0.192165 | + | 0.221771i | ||||
\(590\) | −370.606 | + | 89.9082i | −0.628147 | + | 0.152387i | ||||
\(591\) | −11.5190 | − | 13.6204i | −0.0194907 | − | 0.0230463i | ||||
\(592\) | 394.781 | + | 310.459i | 0.666860 | + | 0.524425i | ||||
\(593\) | −121.806 | − | 5.80232i | −0.205406 | − | 0.00978468i | −0.0553731 | − | 0.998466i | \(-0.517635\pi\) |
−0.150033 | + | 0.988681i | \(0.547938\pi\) | |||||||
\(594\) | 261.650 | − | 376.616i | 0.440489 | − | 0.634033i | ||||
\(595\) | 963.401 | − | 282.880i | 1.61916 | − | 0.475429i | ||||
\(596\) | −87.4431 | + | 62.2680i | −0.146717 | + | 0.104476i | ||||
\(597\) | −586.010 | + | 406.790i | −0.981592 | + | 0.681391i | ||||
\(598\) | 12.6950 | − | 88.2960i | 0.0212292 | − | 0.147652i | ||||
\(599\) | 72.6190 | + | 376.783i | 0.121234 | + | 0.629021i | 0.990814 | + | 0.135229i | \(0.0431771\pi\) |
−0.869581 | + | 0.493791i | \(0.835611\pi\) | |||||||
\(600\) | −185.674 | − | 330.696i | −0.309457 | − | 0.551160i | ||||
\(601\) | −396.529 | + | 37.8640i | −0.659783 | + | 0.0630016i | −0.419576 | − | 0.907720i | \(-0.637821\pi\) |
−0.240207 | + | 0.970722i | \(0.577215\pi\) | |||||||
\(602\) | 184.584i | 0.306617i | ||||||||
\(603\) | −94.5868 | + | 595.535i | −0.156860 | + | 0.987621i | ||||
\(604\) | −411.869 | −0.681902 | ||||||||
\(605\) | −172.866 | − | 1810.33i | −0.285729 | − | 2.99228i | ||||
\(606\) | −129.698 | + | 72.8210i | −0.214024 | + | 0.120167i | ||||
\(607\) | −861.689 | + | 166.077i | −1.41959 | + | 0.273603i | −0.840566 | − | 0.541709i | \(-0.817777\pi\) |
−0.579021 | + | 0.815312i | \(0.696565\pi\) | |||||||
\(608\) | 575.753 | + | 82.7808i | 0.946963 | + | 0.136153i | ||||
\(609\) | 474.860 | + | 684.069i | 0.779737 | + | 1.12327i | ||||
\(610\) | −325.119 | − | 456.565i | −0.532981 | − | 0.748468i | ||||
\(611\) | 253.709 | + | 864.053i | 0.415235 | + | 1.41416i | ||||
\(612\) | 378.371 | + | 230.729i | 0.618253 | + | 0.377009i | ||||
\(613\) | 28.1907 | − | 591.795i | 0.0459880 | − | 0.965407i | −0.851496 | − | 0.524361i | \(-0.824304\pi\) |
0.897484 | − | 0.441047i | \(-0.145393\pi\) | |||||||
\(614\) | 114.333 | − | 145.387i | 0.186211 | − | 0.236786i | ||||
\(615\) | −47.4275 | + | 40.1102i | −0.0771178 | + | 0.0652198i | ||||
\(616\) | −287.559 | − | 1185.33i | −0.466817 | − | 1.92424i | ||||
\(617\) | −490.711 | + | 425.203i | −0.795317 | + | 0.689146i | −0.954535 | − | 0.298097i | \(-0.903648\pi\) |
0.159219 | + | 0.987243i | \(0.449103\pi\) | |||||||
\(618\) | 150.710 | − | 58.2473i | 0.243867 | − | 0.0942513i | ||||
\(619\) | 232.779 | − | 93.1908i | 0.376057 | − | 0.150551i | −0.175931 | − | 0.984402i | \(-0.556294\pi\) |
0.551988 | + | 0.833852i | \(0.313869\pi\) | |||||||
\(620\) | 38.9525 | − | 202.105i | 0.0628266 | − | 0.325975i | ||||
\(621\) | −224.852 | − | 126.361i | −0.362081 | − | 0.203479i | ||||
\(622\) | −180.980 | + | 254.151i | −0.290965 | + | 0.408604i | ||||
\(623\) | 1630.65 | − | 77.6774i | 2.61741 | − | 0.124683i | ||||
\(624\) | 227.141 | + | 107.043i | 0.364009 | + | 0.171544i | ||||
\(625\) | −606.413 | − | 389.718i | −0.970261 | − | 0.623549i | ||||
\(626\) | −24.8552 | + | 48.2123i | −0.0397047 | + | 0.0770164i | ||||
\(627\) | −782.633 | − | 764.372i | −1.24822 | − | 1.21909i | ||||
\(628\) | −21.0168 | − | 6.17110i | −0.0334663 | − | 0.00982659i | ||||
\(629\) | −930.677 | + | 322.110i | −1.47961 | + | 0.512099i | ||||
\(630\) | 12.1361 | + | 513.986i | 0.0192636 | + | 0.815851i | ||||
\(631\) | 76.3487 | + | 72.7983i | 0.120996 | + | 0.115370i | 0.748162 | − | 0.663516i | \(-0.230937\pi\) |
−0.627166 | + | 0.778886i | \(0.715785\pi\) | |||||||
\(632\) | 205.111 | + | 118.421i | 0.324542 | + | 0.187375i | ||||
\(633\) | −171.078 | − | 341.853i | −0.270265 | − | 0.540052i | ||||
\(634\) | 103.554 | − | 426.856i | 0.163335 | − | 0.673275i | ||||
\(635\) | −294.255 | − | 570.776i | −0.463394 | − | 0.898859i | ||||
\(636\) | −77.1279 | + | 494.269i | −0.121270 | + | 0.777153i | ||||
\(637\) | −527.985 | − | 50.4165i | −0.828863 | − | 0.0791468i | ||||
\(638\) | −218.483 | − | 423.798i | −0.342450 | − | 0.664260i | ||||
\(639\) | −897.310 | − | 334.876i | −1.40424 | − | 0.524063i | ||||
\(640\) | −435.270 | − | 753.910i | −0.680110 | − | 1.17798i | ||||
\(641\) | −728.870 | − | 420.813i | −1.13708 | − | 0.656495i | −0.191376 | − | 0.981517i | \(-0.561295\pi\) |
−0.945706 | + | 0.325022i | \(0.894628\pi\) | |||||||
\(642\) | 195.263 | + | 209.768i | 0.304148 | + | 0.326741i | ||||
\(643\) | 18.6066 | + | 129.412i | 0.0289372 | + | 0.201263i | 0.999161 | − | 0.0409462i | \(-0.0130372\pi\) |
−0.970224 | + | 0.242209i | \(0.922128\pi\) | |||||||
\(644\) | −291.237 | + | 100.798i | −0.452232 | + | 0.156519i | ||||
\(645\) | 148.498 | − | 412.961i | 0.230229 | − | 0.640249i | ||||
\(646\) | −156.441 | + | 180.543i | −0.242169 | + | 0.279478i | ||||
\(647\) | −28.4635 | + | 55.2115i | −0.0439930 | + | 0.0853346i | −0.909807 | − | 0.415031i | \(-0.863771\pi\) |
0.865814 | + | 0.500366i | \(0.166801\pi\) | |||||||
\(648\) | −365.709 | + | 348.434i | −0.564366 | + | 0.537707i | ||||
\(649\) | 1212.18 | + | 485.284i | 1.86777 | + | 0.747741i | ||||
\(650\) | 189.086 | − | 9.00728i | 0.290902 | − | 0.0138573i | ||||
\(651\) | −174.529 | + | 216.535i | −0.268094 | + | 0.332618i | ||||
\(652\) | 72.3121 | − | 208.932i | 0.110908 | − | 0.320448i | ||||
\(653\) | −4.20238 | + | 21.8040i | −0.00643549 | + | 0.0333905i | −0.985005 | − | 0.172529i | \(-0.944806\pi\) |
0.978569 | + | 0.205919i | \(0.0660184\pi\) | |||||||
\(654\) | −11.5165 | − | 34.6128i | −0.0176094 | − | 0.0529247i | ||||
\(655\) | 381.626 | + | 835.644i | 0.582635 | + | 1.27579i | ||||
\(656\) | −17.8986 | + | 15.5092i | −0.0272844 | + | 0.0236421i | ||||
\(657\) | 25.9850 | + | 217.686i | 0.0395509 | + | 0.331333i | ||||
\(658\) | −508.805 | + | 485.145i | −0.773260 | + | 0.737302i | ||||
\(659\) | −14.9081 | + | 18.9572i | −0.0226223 | + | 0.0287666i | −0.797233 | − | 0.603672i | \(-0.793704\pi\) |
0.774610 | + | 0.632439i | \(0.217946\pi\) | |||||||
\(660\) | −139.383 | + | 1295.27i | −0.211186 | + | 1.96254i | ||||
\(661\) | 202.634 | − | 443.706i | 0.306557 | − | 0.671266i | −0.692169 | − | 0.721736i | \(-0.743345\pi\) |
0.998726 | + | 0.0504701i | \(0.0160719\pi\) | |||||||
\(662\) | 16.9524 | + | 57.7346i | 0.0256079 | + | 0.0872125i | ||||
\(663\) | −417.389 | + | 261.218i | −0.629546 | + | 0.393994i | ||||
\(664\) | 96.3086 | − | 75.7379i | 0.145043 | − | 0.114063i | ||||
\(665\) | 1213.99 | + | 174.546i | 1.82555 | + | 0.262475i | ||||
\(666\) | −35.8782 | − | 503.005i | −0.0538712 | − | 0.755263i | ||||
\(667\) | −225.600 | + | 144.984i | −0.338231 | + | 0.217368i | ||||
\(668\) | 45.9465 | + | 481.173i | 0.0687821 | + | 0.720319i | ||||
\(669\) | 282.847 | + | 16.8766i | 0.422791 | + | 0.0252266i | ||||
\(670\) | 129.992 | + | 364.602i | 0.194017 | + | 0.544181i | ||||
\(671\) | 1919.06i | 2.85999i | ||||||||
\(672\) | 33.3168 | + | 935.376i | 0.0495786 | + | 1.39193i | ||||
\(673\) | 643.647 | − | 413.647i | 0.956385 | − | 0.614631i | 0.0333894 | − | 0.999442i | \(-0.489370\pi\) |
0.922995 | + | 0.384811i | \(0.125733\pi\) | |||||||
\(674\) | −0.602305 | − | 3.12505i | −0.000893627 | − | 0.00463658i | ||||
\(675\) | 173.002 | − | 519.286i | 0.256299 | − | 0.769313i | ||||
\(676\) | 130.101 | − | 102.313i | 0.192457 | − | 0.151350i | ||||
\(677\) | −419.864 | + | 298.984i | −0.620183 | + | 0.441630i | −0.846474 | − | 0.532429i | \(-0.821279\pi\) |
0.226291 | + | 0.974060i | \(0.427340\pi\) | |||||||
\(678\) | −174.705 | + | 40.1702i | −0.257677 | + | 0.0592481i | ||||
\(679\) | 363.072 | − | 795.018i | 0.534716 | − | 1.17087i | ||||
\(680\) | 632.533 | + | 30.1312i | 0.930195 | + | 0.0443106i | ||||
\(681\) | 483.676 | − | 544.846i | 0.710244 | − | 0.800068i | ||||
\(682\) | 115.248 | − | 109.889i | 0.168986 | − | 0.161128i | ||||
\(683\) | −602.033 | + | 146.052i | −0.881454 | + | 0.213838i | −0.650847 | − | 0.759209i | \(-0.725586\pi\) |
−0.230607 | + | 0.973047i | \(0.574071\pi\) | |||||||
\(684\) | 303.336 | + | 448.364i | 0.443474 | + | 0.655504i | ||||
\(685\) | −46.3653 | − | 101.526i | −0.0676865 | − | 0.148213i | ||||
\(686\) | 0.726039 | + | 1.81356i | 0.00105837 | + | 0.00264367i | ||||
\(687\) | 160.720 | + | 41.0379i | 0.233945 | + | 0.0597349i | ||||
\(688\) | 54.7270 | − | 158.123i | 0.0795450 | − | 0.229830i | ||||
\(689\) | −452.749 | − | 322.401i | −0.657110 | − | 0.467926i | ||||
\(690\) | −165.557 | − | 1.98617i | −0.239938 | − | 0.00287851i | ||||
\(691\) | −357.563 | − | 143.147i | −0.517457 | − | 0.207159i | 0.0982087 | − | 0.995166i | \(-0.468689\pi\) |
−0.615666 | + | 0.788007i | \(0.711113\pi\) | |||||||
\(692\) | 205.257 | − | 319.386i | 0.296614 | − | 0.461540i | ||||
\(693\) | 986.948 | − | 1457.61i | 1.42417 | − | 2.10333i | ||||
\(694\) | 175.377 | − | 202.395i | 0.252704 | − | 0.291636i | ||||
\(695\) | 13.3531 | − | 45.4764i | 0.0192130 | − | 0.0654336i | ||||
\(696\) | 141.907 | + | 505.653i | 0.203889 | + | 0.726513i | ||||
\(697\) | −6.60926 | − | 45.9684i | −0.00948244 | − | 0.0659518i | ||||
\(698\) | −124.890 | + | 130.981i | −0.178926 | + | 0.187652i | ||||
\(699\) | −268.772 | − | 177.321i | −0.384509 | − | 0.253678i | ||||
\(700\) | −327.004 | − | 566.387i | −0.467148 | − | 0.809124i | ||||
\(701\) | 1077.14 | + | 261.310i | 1.53657 | + | 0.372768i | 0.912657 | − | 0.408726i | \(-0.134027\pi\) |
0.623913 | + | 0.781494i | \(0.285542\pi\) | |||||||
\(702\) | −73.8360 | − | 241.072i | −0.105180 | − | 0.343407i | ||||
\(703\) | −1197.54 | − | 114.351i | −1.70347 | − | 0.162662i | ||||
\(704\) | −6.94366 | + | 72.7173i | −0.00986316 | + | 0.103292i | ||||
\(705\) | 1528.63 | − | 676.057i | 2.16826 | − | 0.958947i | ||||
\(706\) | 30.7492 | − | 126.750i | 0.0435541 | − | 0.179532i | ||||
\(707\) | −494.467 | + | 285.480i | −0.699387 | + | 0.403791i | ||||
\(708\) | −539.313 | − | 355.808i | −0.761741 | − | 0.502554i | ||||
\(709\) | −480.056 | − | 457.732i | −0.677089 | − | 0.645603i | 0.271380 | − | 0.962472i | \(-0.412520\pi\) |
−0.948469 | + | 0.316869i | \(0.897368\pi\) | |||||||
\(710\) | −608.554 | + | 87.4969i | −0.857119 | + | 0.123235i | ||||
\(711\) | 72.5931 | + | 334.015i | 0.102100 | + | 0.469782i | ||||
\(712\) | 987.880 | + | 290.068i | 1.38747 | + | 0.407399i | ||||
\(713\) | −67.6875 | − | 58.6515i | −0.0949333 | − | 0.0822602i | ||||
\(714\) | −330.571 | − | 196.180i | −0.462984 | − | 0.274762i | ||||
\(715\) | −1217.66 | − | 782.544i | −1.70302 | − | 1.09447i | ||||
\(716\) | 164.939 | − | 411.999i | 0.230362 | − | 0.575417i | ||||
\(717\) | 464.972 | + | 5.57821i | 0.648497 | + | 0.00777994i | ||||
\(718\) | 291.197 | − | 408.929i | 0.405567 | − | 0.569540i | ||||
\(719\) | −257.416 | − | 89.0926i | −0.358020 | − | 0.123912i | 0.142136 | − | 0.989847i | \(-0.454603\pi\) |
−0.500156 | + | 0.865935i | \(0.666724\pi\) | |||||||
\(720\) | 141.995 | − | 443.904i | 0.197215 | − | 0.616533i | ||||
\(721\) | 575.786 | − | 230.510i | 0.798594 | − | 0.319709i | ||||
\(722\) | 16.5213 | − | 7.54503i | 0.0228827 | − | 0.0104502i | ||||
\(723\) | 406.792 | + | 530.247i | 0.562644 | + | 0.733398i | ||||
\(724\) | −33.1490 | − | 136.642i | −0.0457860 | − | 0.188732i | ||||
\(725\) | −392.716 | − | 411.868i | −0.541677 | − | 0.568094i | ||||
\(726\) | −462.208 | + | 520.662i | −0.636650 | + | 0.717166i | ||||
\(727\) | 60.9482 | − | 1279.46i | 0.0838352 | − | 1.75992i | −0.430744 | − | 0.902474i | \(-0.641749\pi\) |
0.514579 | − | 0.857443i | \(-0.327948\pi\) | |||||||
\(728\) | −609.989 | − | 278.572i | −0.837897 | − | 0.382655i | ||||
\(729\) | −727.112 | − | 52.4265i | −0.997411 | − | 0.0719157i | ||||
\(730\) | 81.6315 | + | 114.635i | 0.111824 | + | 0.157035i | ||||
\(731\) | 202.827 | + | 257.916i | 0.277465 | + | 0.352826i | ||||
\(732\) | 190.888 | − | 930.229i | 0.260776 | − | 1.27080i | ||||
\(733\) | −45.1441 | + | 8.70081i | −0.0615881 | + | 0.0118701i | −0.219952 | − | 0.975511i | \(-0.570590\pi\) |
0.158364 | + | 0.987381i | \(0.449378\pi\) | |||||||
\(734\) | −40.5477 | − | 63.0934i | −0.0552421 | − | 0.0859584i | ||||
\(735\) | 35.0421 | + | 983.814i | 0.0476764 | + | 1.33852i | ||||
\(736\) | −301.417 | −0.409535 | ||||||||
\(737\) | 361.566 | − | 1275.04i | 0.490591 | − | 1.73004i | ||||
\(738\) | 23.6112 | + | 2.82768i | 0.0319935 | + | 0.00383154i | ||||
\(739\) | 500.974 | − | 47.8372i | 0.677908 | − | 0.0647324i | 0.249578 | − | 0.968355i | \(-0.419708\pi\) |
0.428330 | + | 0.903622i | \(0.359102\pi\) | |||||||
\(740\) | 774.506 | + | 1205.16i | 1.04663 | + | 1.62859i | ||||
\(741\) | −596.318 | + | 78.4484i | −0.804748 | + | 0.105868i | ||||
\(742\) | 61.7519 | − | 429.494i | 0.0832235 | − | 0.578832i | ||||
\(743\) | 305.945 | + | 389.041i | 0.411770 | + | 0.523608i | 0.947058 | − | 0.321061i | \(-0.104040\pi\) |
−0.535289 | + | 0.844669i | \(0.679797\pi\) | |||||||
\(744\) | −148.684 | + | 93.0523i | −0.199844 | + | 0.125070i | ||||
\(745\) | −212.407 | + | 62.3684i | −0.285111 | + | 0.0837160i | ||||
\(746\) | −170.157 | − | 77.7080i | −0.228092 | − | 0.104166i | ||||
\(747\) | 174.371 | + | 29.3564i | 0.233428 | + | 0.0392991i | ||||
\(748\) | −765.640 | − | 602.106i | −1.02358 | − | 0.804955i | ||||
\(749\) | 759.135 | + | 796.158i | 1.01353 | + | 1.06296i | ||||
\(750\) | 14.5417 | + | 80.6438i | 0.0193890 | + | 0.107525i | ||||
\(751\) | 596.902 | + | 688.862i | 0.794810 | + | 0.917260i | 0.998085 | − | 0.0618620i | \(-0.0197039\pi\) |
−0.203275 | + | 0.979122i | \(0.565158\pi\) | |||||||
\(752\) | 579.707 | − | 264.743i | 0.770887 | − | 0.352052i | ||||
\(753\) | −172.029 | − | 517.031i | −0.228458 | − | 0.686628i | ||||
\(754\) | −257.404 | − | 49.6105i | −0.341384 | − | 0.0657964i | ||||
\(755\) | −802.647 | − | 277.799i | −1.06311 | − | 0.367946i | ||||
\(756\) | −623.394 | + | 608.379i | −0.824595 | + | 0.804734i | ||||
\(757\) | −54.0374 | − | 1134.38i | −0.0713836 | − | 1.49853i | −0.696253 | − | 0.717796i | \(-0.745151\pi\) |
0.624869 | − | 0.780729i | \(-0.285152\pi\) | |||||||
\(758\) | −148.042 | + | 369.790i | −0.195305 | + | 0.487850i | ||||
\(759\) | 457.794 | + | 334.342i | 0.603154 | + | 0.440503i | ||||
\(760\) | 687.529 | + | 354.446i | 0.904643 | + | 0.466376i | ||||
\(761\) | −743.155 | − | 643.948i | −0.976551 | − | 0.846186i | 0.0115593 | − | 0.999933i | \(-0.496320\pi\) |
−0.988110 | + | 0.153747i | \(0.950866\pi\) | |||||||
\(762\) | −83.1894 | + | 231.343i | −0.109172 | + | 0.303600i | ||||
\(763\) | −45.7976 | − | 132.324i | −0.0600231 | − | 0.173425i | ||||
\(764\) | −610.709 | + | 87.8067i | −0.799357 | + | 0.114930i | ||||
\(765\) | 581.744 | + | 704.849i | 0.760450 | + | 0.921371i | ||||
\(766\) | 210.409 | − | 364.438i | 0.274685 | − | 0.475768i | ||||
\(767\) | 621.692 | − | 358.934i | 0.810550 | − | 0.467971i | ||||
\(768\) | −84.7307 | + | 276.262i | −0.110326 | + | 0.359717i | ||||
\(769\) | 1025.46 | − | 528.663i | 1.33350 | − | 0.687468i | 0.363736 | − | 0.931502i | \(-0.381501\pi\) |
0.969767 | + | 0.244034i | \(0.0784709\pi\) | |||||||
\(770\) | 107.412 | − | 1124.87i | 0.139496 | − | 1.46087i | ||||
\(771\) | 190.236 | − | 1219.11i | 0.246739 | − | 1.58121i | ||||
\(772\) | 488.891 | − | 252.041i | 0.633279 | − | 0.326478i | ||||
\(773\) | 51.4613 | + | 12.4844i | 0.0665735 | + | 0.0161506i | 0.268907 | − | 0.963166i | \(-0.413337\pi\) |
−0.202334 | + | 0.979317i | \(0.564853\pi\) | |||||||
\(774\) | −154.457 | + | 66.1071i | −0.199557 | + | 0.0854097i | ||||
\(775\) | 95.0316 | − | 164.599i | 0.122621 | − | 0.212386i | ||||
\(776\) | 380.382 | − | 398.933i | 0.490183 | − | 0.514089i | ||||
\(777\) | −160.873 | − | 1929.03i | −0.207044 | − | 2.48266i | ||||
\(778\) | −98.4305 | − | 284.396i | −0.126517 | − | 0.365548i | ||||
\(779\) | 15.9821 | − | 54.4301i | 0.0205162 | − | 0.0698718i | ||||
\(780\) | 512.401 | + | 500.445i | 0.656925 | + | 0.641597i | ||||
\(781\) | 1871.03 | + | 964.582i | 2.39568 | + | 1.23506i | ||||
\(782\) | 66.9267 | − | 104.140i | 0.0855840 | − | 0.133171i | ||||
\(783\) | −402.352 | + | 642.350i | −0.513859 | + | 0.820370i | ||||
\(784\) | 17.8599 | + | 374.926i | 0.0227805 | + | 0.478221i | ||||
\(785\) | −36.7952 | − | 26.2017i | −0.0468728 | − | 0.0333780i | ||||
\(786\) | 134.622 | − | 324.917i | 0.171274 | − | 0.413380i | ||||
\(787\) | −209.766 | − | 40.4292i | −0.266539 | − | 0.0513712i | 0.0542305 | − | 0.998528i | \(-0.482729\pi\) |
−0.320770 | + | 0.947157i | \(0.603942\pi\) | |||||||
\(788\) | −7.21042 | − | 18.0107i | −0.00915027 | − | 0.0228563i | ||||
\(789\) | −629.963 | + | 243.472i | −0.798432 | + | 0.308583i | ||||
\(790\) | 143.689 | + | 165.825i | 0.181884 | + | 0.209906i | ||||
\(791\) | −668.720 | + | 162.230i | −0.845411 | + | 0.205094i | ||||
\(792\) | 888.884 | − | 665.143i | 1.12233 | − | 0.839827i | ||||
\(793\) | 829.348 | + | 652.206i | 1.04584 | + | 0.822454i | ||||
\(794\) | 653.365 | + | 31.1236i | 0.822878 | + | 0.0391985i | ||||
\(795\) | −483.683 | + | 911.207i | −0.608406 | + | 1.14617i | ||||
\(796\) | −744.411 | + | 218.579i | −0.935189 | + | 0.274596i | ||||
\(797\) | 760.464 | − | 541.524i | 0.954158 | − | 0.679453i | 0.00691768 | − | 0.999976i | \(-0.497798\pi\) |
0.947241 | + | 0.320523i | \(0.103859\pi\) | |||||||
\(798\) | −267.756 | − | 385.721i | −0.335533 | − | 0.483359i | ||||
\(799\) | −177.850 | + | 1236.98i | −0.222591 | + | 1.54816i | ||||
\(800\) | −121.053 | − | 628.081i | −0.151316 | − | 0.785102i | ||||
\(801\) | 649.003 | + | 1336.68i | 0.810241 | + | 1.66877i | ||||
\(802\) | −422.179 | + | 40.3132i | −0.526408 | + | 0.0502659i | ||||
\(803\) | − | 481.841i | − | 0.600051i | ||||||
\(804\) | −302.091 | + | 582.089i | −0.375735 | + | 0.723991i | ||||
\(805\) | −635.548 | −0.789501 | ||||||||
\(806\) | −8.32210 | − | 87.1529i | −0.0103252 | − | 0.108130i | ||||
\(807\) | 604.370 | + | 1076.42i | 0.748910 | + | 1.33385i | ||||
\(808\) | −353.587 | + | 68.1483i | −0.437608 | + | 0.0843420i | ||||
\(809\) | 1207.82 | + | 173.658i | 1.49298 | + | 0.214658i | 0.839945 | − | 0.542672i | \(-0.182587\pi\) |
0.653033 | + | 0.757330i | \(0.273496\pi\) | |||||||
\(810\) | −425.750 | + | 194.235i | −0.525617 | + | 0.239797i | ||||
\(811\) | −470.061 | − | 660.108i | −0.579606 | − | 0.813943i | 0.415823 | − | 0.909446i | \(-0.363494\pi\) |
−0.995429 | + | 0.0955023i | \(0.969554\pi\) | |||||||
\(812\) | 255.154 | + | 868.975i | 0.314229 | + | 1.07017i | ||||
\(813\) | 266.586 | − | 502.220i | 0.327905 | − | 0.617737i | ||||
\(814\) | −52.7372 | + | 1107.09i | −0.0647878 | + | 1.36006i | ||||
\(815\) | 281.843 | − | 358.392i | 0.345819 | − | 0.439745i | ||||
\(816\) | 225.018 | + | 266.068i | 0.275757 | + | 0.326063i | ||||
\(817\) | 94.4905 | + | 389.495i | 0.115655 | + | 0.476738i | ||||
\(818\) | −338.087 | + | 292.954i | −0.413309 | + | 0.358134i | ||||
\(819\) | −294.505 | − | 921.903i | −0.359591 | − | 1.12565i | ||||
\(820\) | −62.7151 | + | 25.1074i | −0.0764819 | + | 0.0306187i | ||||
\(821\) | 63.3916 | − | 328.907i | 0.0772127 | − | 0.400617i | −0.922674 | − | 0.385580i | \(-0.874001\pi\) |
0.999887 | − | 0.0150371i | \(-0.00478664\pi\) | |||||||
\(822\) | −16.3557 | + | 39.4754i | −0.0198975 | + | 0.0480236i | ||||
\(823\) | −742.183 | + | 1042.25i | −0.901802 | + | 1.26640i | 0.0615340 | + | 0.998105i | \(0.480401\pi\) |
−0.963336 | + | 0.268299i | \(0.913539\pi\) | |||||||
\(824\) | 390.714 | − | 18.6120i | 0.474167 | − | 0.0225874i | ||||
\(825\) | −512.833 | + | 1088.21i | −0.621615 | + | 1.31904i | ||||
\(826\) | 471.460 | + | 302.989i | 0.570775 | + | 0.366815i | ||||
\(827\) | −303.244 | + | 588.211i | −0.366680 | + | 0.711259i | −0.997929 | − | 0.0643206i | \(-0.979512\pi\) |
0.631250 | + | 0.775580i | \(0.282542\pi\) | |||||||
\(828\) | −188.651 | − | 207.603i | −0.227839 | − | 0.250729i | ||||
\(829\) | −372.276 | − | 109.310i | −0.449067 | − | 0.131858i | 0.0493764 | − | 0.998780i | \(-0.484277\pi\) |
−0.498443 | + | 0.866922i | \(0.666095\pi\) | |||||||
\(830\) | 107.266 | − | 37.1250i | 0.129236 | − | 0.0447289i | ||||
\(831\) | 124.116 | + | 1488.28i | 0.149358 | + | 1.79095i | ||||
\(832\) | 29.0660 | + | 27.7144i | 0.0349351 | + | 0.0333105i | ||||
\(833\) | −637.426 | − | 368.018i | −0.765218 | − | 0.441799i | ||||
\(834\) | −16.2267 | + | 8.12055i | −0.0194565 | + | 0.00973687i | ||||
\(835\) | −235.003 | + | 968.697i | −0.281441 | + | 1.16012i | ||||
\(836\) | −545.190 | − | 1057.52i | −0.652141 | − | 1.26498i | ||||
\(837\) | −243.699 | − | 68.4933i | −0.291158 | − | 0.0818319i | ||||
\(838\) | −472.833 | − | 45.1501i | −0.564240 | − | 0.0538784i | ||||
\(839\) | 196.728 | + | 381.598i | 0.234479 | + | 0.454825i | 0.976490 | − | 0.215562i | \(-0.0691584\pi\) |
−0.742012 | + | 0.670387i | \(0.766128\pi\) | |||||||
\(840\) | −364.963 | + | 1189.95i | −0.434480 | + | 1.41661i | ||||
\(841\) | −26.4669 | − | 45.8421i | −0.0314708 | − | 0.0545090i | ||||
\(842\) | −79.7291 | − | 46.0316i | −0.0946901 | − | 0.0546694i | ||||
\(843\) | −168.150 | + | 156.523i | −0.199466 | + | 0.185673i | ||||
\(844\) | −59.1673 | − | 411.517i | −0.0701034 | − | 0.487580i | ||||
\(845\) | 322.548 | − | 111.635i | 0.381714 | − | 0.132113i | ||||
\(846\) | −588.186 | − | 252.010i | −0.695256 | − | 0.297884i | ||||
\(847\) | −1750.11 | + | 2019.74i | −2.06625 | + | 2.38458i | ||||
\(848\) | −180.240 | + | 349.616i | −0.212547 | + | 0.412283i | ||||
\(849\) | −1320.90 | − | 964.693i | −1.55583 | − | 1.13627i | ||||
\(850\) | 243.881 | + | 97.6353i | 0.286919 | + | 0.114865i | ||||
\(851\) | 622.670 | − | 29.6614i | 0.731692 | − | 0.0348548i | ||||
\(852\) | −811.001 | − | 653.675i | −0.951879 | − | 0.767224i | ||||
\(853\) | −282.420 | + | 815.998i | −0.331090 | + | 0.956621i | 0.649468 | + | 0.760389i | \(0.274992\pi\) |
−0.980557 | + | 0.196232i | \(0.937129\pi\) | |||||||
\(854\) | −155.883 | + | 808.795i | −0.182532 | + | 0.947067i | ||||
\(855\) | 288.724 | + | 1078.37i | 0.337689 | + | 1.26125i | ||||
\(856\) | 288.212 | + | 631.096i | 0.336696 | + | 0.737262i | ||||
\(857\) | −790.697 | + | 685.143i | −0.922634 | + | 0.799467i | −0.980023 | − | 0.198885i | \(-0.936268\pi\) |
0.0573889 | + | 0.998352i | \(0.481723\pi\) | |||||||
\(858\) | 98.3366 | + | 545.344i | 0.114611 | + | 0.635599i | ||||
\(859\) | 146.161 | − | 139.364i | 0.170153 | − | 0.162240i | −0.600218 | − | 0.799836i | \(-0.704920\pi\) |
0.770371 | + | 0.637596i | \(0.220071\pi\) | |||||||
\(860\) | 295.036 | − | 375.169i | 0.343065 | − | 0.436243i | ||||
\(861\) | 90.7568 | + | 9.76621i | 0.105409 | + | 0.0113429i | ||||
\(862\) | −7.88302 | + | 17.2614i | −0.00914504 | + | 0.0200248i | ||||
\(863\) | 283.718 | + | 966.255i | 0.328758 | + | 1.11965i | 0.943625 | + | 0.331016i | \(0.107391\pi\) |
−0.614867 | + | 0.788631i | \(0.710790\pi\) | |||||||
\(864\) | −770.777 | + | 362.876i | −0.892103 | + | 0.419996i | ||||
\(865\) | 615.424 | − | 483.975i | 0.711473 | − | 0.559508i | ||||
\(866\) | −52.8151 | − | 7.59367i | −0.0609874 | − | 0.00876867i | ||||
\(867\) | 182.123 | − | 23.9592i | 0.210062 | − | 0.0276346i | ||||
\(868\) | −254.455 | + | 163.528i | −0.293151 | + | 0.188397i | ||||
\(869\) | −71.4117 | − | 747.857i | −0.0821768 | − | 0.860595i | ||||
\(870\) | −28.9795 | + | 485.689i | −0.0333098 | + | 0.558263i | ||||
\(871\) | −428.146 | − | 589.588i | −0.491557 | − | 0.676909i | ||||
\(872\) | − | 88.3110i | − | 0.101274i | ||||||
\(873\) | 795.291 | + | 19.0848i | 0.910986 | + | 0.0218611i | ||||
\(874\) | 127.207 | − | 81.7511i | 0.145546 | − | 0.0935368i | ||||
\(875\) | 59.5288 | + | 308.865i | 0.0680329 | + | 0.352988i | ||||
\(876\) | −47.9286 | + | 233.564i | −0.0547130 | + | 0.266626i | ||||
\(877\) | 234.636 | − | 184.520i | 0.267544 | − | 0.210399i | −0.475370 | − | 0.879786i | \(-0.657686\pi\) |
0.742914 | + | 0.669387i | \(0.233443\pi\) | |||||||
\(878\) | 463.825 | − | 330.288i | 0.528275 | − | 0.376183i | ||||
\(879\) | −167.456 | − | 728.285i | −0.190507 | − | 0.828538i | ||||
\(880\) | −425.527 | + | 931.773i | −0.483553 | + | 1.05883i | ||||
\(881\) | −1367.91 | − | 65.1618i | −1.55268 | − | 0.0739634i | −0.746402 | − | 0.665495i | \(-0.768220\pi\) |
−0.806281 | + | 0.591532i | \(0.798523\pi\) | |||||||
\(882\) | 266.548 | − | 266.445i | 0.302209 | − | 0.302092i | ||||
\(883\) | 817.645 | − | 779.623i | 0.925985 | − | 0.882925i | −0.0674033 | − | 0.997726i | \(-0.521471\pi\) |
0.993389 | + | 0.114801i | \(0.0366229\pi\) | |||||||
\(884\) | −520.418 | + | 126.252i | −0.588708 | + | 0.142819i | ||||
\(885\) | −811.022 | − | 1057.15i | −0.916409 | − | 1.19453i | ||||
\(886\) | −45.4801 | − | 99.5875i | −0.0513319 | − | 0.112401i | ||||
\(887\) | 100.081 | + | 249.991i | 0.112831 | + | 0.281839i | 0.974026 | − | 0.226436i | \(-0.0727075\pi\) |
−0.861195 | + | 0.508275i | \(0.830283\pi\) | |||||||
\(888\) | 302.032 | − | 1182.87i | 0.340126 | − | 1.33206i | ||||
\(889\) | −308.652 | + | 891.792i | −0.347190 | + | 1.00314i | ||||
\(890\) | 776.979 | + | 553.284i | 0.873010 | + | 0.621668i | ||||
\(891\) | 1573.17 | + | 303.833i | 1.76563 | + | 0.341002i | ||||
\(892\) | 286.091 | + | 114.533i | 0.320730 | + | 0.128401i | ||||
\(893\) | −825.293 | + | 1284.18i | −0.924180 | + | 1.43805i | ||||
\(894\) | 72.8831 | + | 43.2530i | 0.0815247 | + | 0.0483815i | ||||
\(895\) | 599.320 | − | 691.652i | 0.669631 | − | 0.772795i | ||||
\(896\) | −360.424 | + | 1227.49i | −0.402259 | + | 1.36997i | ||||
\(897\) | 300.076 | − | 84.2135i | 0.334532 | − | 0.0938835i | ||||
\(898\) | 8.44429 | + | 58.7313i | 0.00940344 | + | 0.0654024i | ||||
\(899\) | −181.627 | + | 190.485i | −0.202032 | + | 0.211885i | ||||
\(900\) | 356.831 | − | 476.479i | 0.396478 | − | 0.529421i | ||||
\(901\) | −385.658 | − | 667.979i | −0.428033 | − | 0.741375i | ||||
\(902\) | −50.7918 | − | 12.3220i | −0.0563102 | − | 0.0136607i | ||||
\(903\) | −589.806 | + | 260.851i | −0.653163 | + | 0.288871i | ||||
\(904\) | −432.017 | − | 41.2526i | −0.477895 | − | 0.0456335i | ||||
\(905\) | 27.5623 | − | 288.646i | 0.0304556 | − | 0.318946i | ||||
\(906\) | 131.523 | + | 297.385i | 0.145169 | + | 0.328239i | ||||
\(907\) | −43.5795 | + | 179.637i | −0.0480479 | + | 0.198056i | −0.990777 | − | 0.135504i | \(-0.956735\pi\) |
0.942729 | + | 0.333560i | \(0.108250\pi\) | |||||||
\(908\) | 686.209 | − | 396.183i | 0.755737 | − | 0.436325i | ||||
\(909\) | −415.975 | − | 311.520i | −0.457618 | − | 0.342706i | ||||
\(910\) | −449.625 | − | 428.716i | −0.494093 | − | 0.471117i | ||||
\(911\) | −1710.81 | + | 245.977i | −1.87794 | + | 0.270007i | −0.983999 | − | 0.178171i | \(-0.942982\pi\) |
−0.893944 | + | 0.448179i | \(0.852073\pi\) | |||||||
\(912\) | 115.010 | + | 409.813i | 0.126108 | + | 0.449357i | ||||
\(913\) | −372.895 | − | 109.492i | −0.408428 | − | 0.119925i | ||||
\(914\) | 408.442 | + | 353.917i | 0.446873 | + | 0.387218i | ||||
\(915\) | 999.426 | − | 1684.07i | 1.09227 | − | 1.84052i | ||||
\(916\) | 151.765 | + | 97.5337i | 0.165683 | + | 0.106478i | ||||
\(917\) | 501.755 | − | 1253.32i | 0.547170 | − | 1.36677i | ||||
\(918\) | 45.7692 | − | 346.877i | 0.0498575 | − | 0.377862i | ||||
\(919\) | −532.881 | + | 748.326i | −0.579849 | + | 0.814283i | −0.995452 | − | 0.0952624i | \(-0.969631\pi\) |
0.415604 | + | 0.909546i | \(0.363570\pi\) | |||||||
\(920\) | −378.783 | − | 131.098i | −0.411721 | − | 0.142498i | ||||
\(921\) | 626.133 | + | 159.875i | 0.679841 | + | 0.173589i | ||||
\(922\) | −236.766 | + | 94.7868i | −0.256796 | + | 0.102806i | ||||
\(923\) | 1052.74 | − | 480.771i | 1.14056 | − | 0.520878i | ||||
\(924\) | 1518.97 | − | 1165.31i | 1.64390 | − | 1.26116i | ||||
\(925\) | 311.879 | + | 1285.58i | 0.337166 | + | 1.38982i | ||||
\(926\) | 281.740 | + | 295.480i | 0.304254 | + | 0.319093i | ||||
\(927\) | 399.100 | + | 399.254i | 0.430529 | + | 0.430695i | ||||
\(928\) | −42.1464 | + | 884.763i | −0.0454164 | + | 0.953408i | ||||
\(929\) | −1627.14 | − | 743.088i | −1.75149 | − | 0.799880i | −0.988075 | − | 0.153974i | \(-0.950793\pi\) |
−0.763417 | − | 0.645906i | \(-0.776480\pi\) | |||||||
\(930\) | −158.366 | + | 36.4133i | −0.170286 | + | 0.0391540i | ||||
\(931\) | −521.512 | − | 732.361i | −0.560163 | − | 0.786640i | ||||
\(932\) | −216.476 | − | 275.272i | −0.232271 | − | 0.295356i | ||||
\(933\) | −1067.86 | − | 219.130i | −1.14454 | − | 0.234866i | ||||
\(934\) | −335.399 | + | 64.6428i | −0.359099 | + | 0.0692107i | ||||
\(935\) | −1085.96 | − | 1689.79i | −1.16146 | − | 1.80726i | ||||
\(936\) | 14.6431 | − | 610.198i | 0.0156443 | − | 0.651921i | ||||
\(937\) | 173.461 | 0.185124 | 0.0925619 | − | 0.995707i | \(-0.470494\pi\) | ||||
0.0925619 | + | 0.995707i | \(0.470494\pi\) | |||||||
\(938\) | 255.953 | − | 508.002i | 0.272871 | − | 0.541580i | ||||
\(939\) | −189.179 | − | 11.2877i | −0.201469 | − | 0.0120210i | ||||
\(940\) | 1809.60 | − | 172.796i | 1.92511 | − | 0.183826i | ||||
\(941\) | 429.546 | + | 668.386i | 0.456478 | + | 0.710294i | 0.990852 | − | 0.134955i | \(-0.0430889\pi\) |
−0.534374 | + | 0.845248i | \(0.679452\pi\) | |||||||
\(942\) | 2.25558 | + | 17.1456i | 0.00239445 | + | 0.0182012i | ||||
\(943\) | −4.18347 | + | 29.0967i | −0.00443634 | + | 0.0308554i | ||||
\(944\) | −314.043 | − | 399.338i | −0.332673 | − | 0.423028i | ||||
\(945\) | −1625.21 | + | 765.136i | −1.71980 | + | 0.809668i | ||||
\(946\) | 354.304 | − | 104.033i | 0.374529 | − | 0.109972i | ||||
\(947\) | 1548.91 | + | 707.362i | 1.63559 | + | 0.746950i | 0.999692 | − | 0.0248206i | \(-0.00790146\pi\) |
0.635901 | + | 0.771771i | \(0.280629\pi\) | |||||||
\(948\) | −39.7736 | + | 369.614i | −0.0419553 | + | 0.389888i | ||||
\(949\) | −208.234 | − | 163.757i | −0.219425 | − | 0.172558i | ||||
\(950\) | 221.438 | + | 232.237i | 0.233092 | + | 0.244460i | ||||
\(951\) | 1510.29 | − | 272.336i | 1.58811 | − | 0.286368i | ||||
\(952\) | −609.413 | − | 703.300i | −0.640139 | − | 0.738760i | ||||
\(953\) | 401.016 | − | 183.138i | 0.420793 | − | 0.192170i | −0.193754 | − | 0.981050i | \(-0.562066\pi\) |
0.614547 | + | 0.788881i | \(0.289339\pi\) | |||||||
\(954\) | 381.510 | − | 102.147i | 0.399906 | − | 0.107072i | ||||
\(955\) | −1249.37 | − | 240.796i | −1.30824 | − | 0.252143i | ||||
\(956\) | 477.915 | + | 165.408i | 0.499911 | + | 0.173021i | ||||
\(957\) | 1045.42 | − | 1297.03i | 1.09239 | − | 1.35531i | ||||
\(958\) | −0.119106 | − | 2.50035i | −0.000124328 | − | 0.00260996i | ||||
\(959\) | −60.9602 | + | 152.271i | −0.0635664 | + | 0.158781i | ||||
\(960\) | 43.9639 | − | 60.1971i | 0.0457958 | − | 0.0627053i | ||||
\(961\) | 776.040 | + | 400.077i | 0.807534 | + | 0.416313i | ||||
\(962\) | 460.522 | + | 399.045i | 0.478713 | + | 0.414807i | ||||
\(963\) | −394.335 | + | 920.371i | −0.409486 | + | 0.955733i | ||||
\(964\) | 237.727 | + | 686.866i | 0.246604 | + | 0.712516i | ||||
\(965\) | 1122.75 | − | 161.426i | 1.16347 | − | 0.167281i | ||||
\(966\) | 165.781 | + | 178.096i | 0.171616 | + | 0.184364i | ||||
\(967\) | −248.602 | + | 430.590i | −0.257085 | + | 0.445285i | −0.965460 | − | 0.260552i | \(-0.916095\pi\) |
0.708374 | + | 0.705837i | \(0.249429\pi\) | |||||||
\(968\) | −1459.68 | + | 842.746i | −1.50793 | + | 0.870605i | ||||
\(969\) | −797.974 | − | 244.742i | −0.823502 | − | 0.252571i | ||||
\(970\) | 453.897 | − | 234.000i | 0.467935 | − | 0.241237i | ||||
\(971\) | 102.633 | − | 1074.82i | 0.105698 | − | 1.10692i | −0.774584 | − | 0.632471i | \(-0.782041\pi\) |
0.880282 | − | 0.474451i | \(-0.157353\pi\) | |||||||
\(972\) | −732.346 | − | 303.761i | −0.753443 | − | 0.312511i | ||||
\(973\) | −61.9089 | + | 31.9162i | −0.0636268 | + | 0.0328019i | ||||
\(974\) | 201.161 | + | 48.8011i | 0.206531 | + | 0.0501038i | ||||
\(975\) | 295.995 | + | 591.464i | 0.303584 | + | 0.606630i | ||||
\(976\) | 373.335 | − | 646.636i | 0.382516 | − | 0.662537i | ||||
\(977\) | −152.522 | + | 159.961i | −0.156113 | + | 0.163726i | −0.797146 | − | 0.603787i | \(-0.793658\pi\) |
0.641033 | + | 0.767513i | \(0.278506\pi\) | |||||||
\(978\) | −173.948 | + | 14.5066i | −0.177861 | + | 0.0148329i | ||||
\(979\) | −1068.15 | − | 3086.22i | −1.09106 | − | 3.15242i | ||||
\(980\) | −301.638 | + | 1027.28i | −0.307794 | + | 1.04825i | ||||
\(981\) | 94.3244 | − | 85.7134i | 0.0961513 | − | 0.0873735i | ||||
\(982\) | 185.219 | + | 95.4872i | 0.188614 | + | 0.0972375i | ||||
\(983\) | −65.6293 | + | 102.121i | −0.0667642 | + | 0.103887i | −0.873030 | − | 0.487666i | \(-0.837849\pi\) |
0.806266 | + | 0.591553i | \(0.201485\pi\) | |||||||
\(984\) | 52.0760 | + | 24.5415i | 0.0529228 | + | 0.0249406i | ||||
\(985\) | −1.90365 | − | 39.9625i | −0.00193264 | − | 0.0405711i | ||||
\(986\) | −296.328 | − | 211.014i | −0.300535 | − | 0.214010i | ||||
\(987\) | −2269.23 | − | 940.203i | −2.29912 | − | 0.952587i | ||||
\(988\) | −642.310 | − | 123.795i | −0.650111 | − | 0.125299i | ||||
\(989\) | −77.1894 | − | 192.810i | −0.0780479 | − | 0.194954i | ||||
\(990\) | 979.746 | − | 312.983i | 0.989642 | − | 0.316144i | ||||
\(991\) | 1141.23 | + | 1317.05i | 1.15160 | + | 1.32901i | 0.935782 | + | 0.352578i | \(0.114695\pi\) |
0.215814 | + | 0.976435i | \(0.430760\pi\) | |||||||
\(992\) | −287.488 | + | 69.7438i | −0.289806 | + | 0.0703062i | ||||
\(993\) | −160.525 | + | 135.758i | −0.161656 | + | 0.136715i | ||||
\(994\) | 710.202 | + | 558.509i | 0.714489 | + | 0.561880i | ||||
\(995\) | −1598.13 | − | 76.1283i | −1.60616 | − | 0.0765109i | ||||
\(996\) | 169.863 | + | 90.1660i | 0.170545 | + | 0.0905281i | ||||
\(997\) | 1250.49 | − | 367.176i | 1.25425 | − | 0.368280i | 0.413897 | − | 0.910324i | \(-0.364167\pi\) |
0.840351 | + | 0.542043i | \(0.182349\pi\) | |||||||
\(998\) | 352.726 | − | 251.175i | 0.353433 | − | 0.251679i | ||||
\(999\) | 1556.57 | − | 825.481i | 1.55812 | − | 0.826307i |
(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 | 201.3.o.b.17.18 | ✓ | 840 | |
3.2 | odd | 2 | inner | 201.3.o.b.17.25 | yes | 840 | |
67.4 | even | 33 | inner | 201.3.o.b.71.25 | yes | 840 | |
201.71 | odd | 66 | inner | 201.3.o.b.71.18 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.o.b.17.18 | ✓ | 840 | 1.1 | even | 1 | trivial | |
201.3.o.b.17.25 | yes | 840 | 3.2 | odd | 2 | inner | |
201.3.o.b.71.18 | yes | 840 | 201.71 | odd | 66 | inner | |
201.3.o.b.71.25 | yes | 840 | 67.4 | even | 33 | inner |