Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,4,Mod(5,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 5]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.5");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.j (of order \(22\), degree \(10\), 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: | \(11.8593839112\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.56 | ||
Character | \(\chi\) | \(=\) | 201.5 |
Dual form | 201.4.j.b.161.56 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.89391 | − | 3.33975i | 1.02315 | − | 1.18078i | 0.0397752 | − | 0.999209i | \(-0.487336\pi\) |
0.983378 | − | 0.181573i | \(-0.0581187\pi\) | |||||||
\(3\) | −5.13809 | − | 0.774606i | −0.988826 | − | 0.149073i | ||||
\(4\) | −1.64070 | − | 11.4113i | −0.205088 | − | 1.42642i | ||||
\(5\) | −10.1030 | + | 2.96651i | −0.903639 | + | 0.265332i | −0.700361 | − | 0.713789i | \(-0.746978\pi\) |
−0.203278 | + | 0.979121i | \(0.565159\pi\) | |||||||
\(6\) | −17.4562 | + | 14.9183i | −1.18774 | + | 1.01506i | ||||
\(7\) | −7.38800 | − | 6.40174i | −0.398914 | − | 0.345661i | 0.432185 | − | 0.901785i | \(-0.357743\pi\) |
−0.831100 | + | 0.556124i | \(0.812288\pi\) | |||||||
\(8\) | −13.1183 | − | 8.43060i | −0.579751 | − | 0.372583i | ||||
\(9\) | 25.8000 | + | 7.95999i | 0.955554 | + | 0.294815i | ||||
\(10\) | −19.3298 | + | 42.3263i | −0.611261 | + | 1.33848i | ||||
\(11\) | −37.1804 | + | 10.9171i | −1.01912 | + | 0.299240i | −0.748279 | − | 0.663384i | \(-0.769120\pi\) |
−0.270840 | + | 0.962624i | \(0.587301\pi\) | |||||||
\(12\) | −0.409212 | + | 59.9034i | −0.00984410 | + | 1.44105i | ||||
\(13\) | 34.9242 | + | 54.3431i | 0.745095 | + | 1.15939i | 0.982188 | + | 0.187903i | \(0.0601692\pi\) |
−0.237092 | + | 0.971487i | \(0.576194\pi\) | |||||||
\(14\) | −42.7604 | + | 6.14802i | −0.816301 | + | 0.117366i | ||||
\(15\) | 54.2080 | − | 7.41634i | 0.933096 | − | 0.127659i | ||||
\(16\) | 22.3743 | − | 6.56969i | 0.349599 | − | 0.102651i | ||||
\(17\) | −4.03126 | − | 0.579608i | −0.0575132 | − | 0.00826915i | 0.113498 | − | 0.993538i | \(-0.463794\pi\) |
−0.171011 | + | 0.985269i | \(0.554703\pi\) | |||||||
\(18\) | 101.247 | − | 63.1300i | 1.32579 | − | 0.826660i | ||||
\(19\) | 15.6788 | + | 18.0943i | 0.189314 | + | 0.218480i | 0.842470 | − | 0.538743i | \(-0.181101\pi\) |
−0.653156 | + | 0.757224i | \(0.726555\pi\) | |||||||
\(20\) | 50.4278 | + | 110.421i | 0.563800 | + | 1.23455i | ||||
\(21\) | 33.0014 | + | 38.6155i | 0.342928 | + | 0.401266i | ||||
\(22\) | −71.1362 | + | 155.767i | −0.689377 | + | 1.50952i | ||||
\(23\) | −134.128 | + | 61.2542i | −1.21598 | + | 0.555321i | −0.916981 | − | 0.398931i | \(-0.869381\pi\) |
−0.299003 | + | 0.954252i | \(0.596654\pi\) | |||||||
\(24\) | 60.8725 | + | 53.4787i | 0.517731 | + | 0.454845i | ||||
\(25\) | −11.8865 | + | 7.63896i | −0.0950917 | + | 0.0611117i | ||||
\(26\) | 282.560 | + | 40.6260i | 2.13133 | + | 0.306439i | ||||
\(27\) | −126.397 | − | 60.8840i | −0.900928 | − | 0.433968i | ||||
\(28\) | −60.9309 | + | 94.8103i | −0.411245 | + | 0.639909i | ||||
\(29\) | 36.3600i | 0.232823i | 0.993201 | + | 0.116412i | \(0.0371392\pi\) | ||||
−0.993201 | + | 0.116412i | \(0.962861\pi\) | |||||||
\(30\) | 132.104 | − | 202.503i | 0.803962 | − | 1.23240i | ||||
\(31\) | −87.5809 | + | 136.278i | −0.507419 | + | 0.789559i | −0.996580 | − | 0.0826342i | \(-0.973667\pi\) |
0.489161 | + | 0.872194i | \(0.337303\pi\) | |||||||
\(32\) | 94.6311 | − | 207.213i | 0.522768 | − | 1.14470i | ||||
\(33\) | 199.493 | − | 27.2931i | 1.05234 | − | 0.143973i | ||||
\(34\) | −13.6019 | + | 11.7861i | −0.0686088 | + | 0.0594499i | ||||
\(35\) | 93.6316 | + | 42.7601i | 0.452190 | + | 0.206508i | ||||
\(36\) | 48.5041 | − | 307.472i | 0.224556 | − | 1.42348i | ||||
\(37\) | 0.638551 | 0.00283722 | 0.00141861 | − | 0.999999i | \(-0.499548\pi\) | ||||
0.00141861 | + | 0.999999i | \(0.499548\pi\) | |||||||
\(38\) | 105.804 | 0.451675 | ||||||||
\(39\) | −137.349 | − | 306.273i | −0.563936 | − | 1.25751i | ||||
\(40\) | 157.543 | + | 46.2588i | 0.622744 | + | 0.182854i | ||||
\(41\) | −6.05161 | + | 42.0899i | −0.0230513 | + | 0.160325i | −0.998096 | − | 0.0616848i | \(-0.980353\pi\) |
0.975044 | + | 0.222010i | \(0.0712617\pi\) | |||||||
\(42\) | 224.469 | + | 1.53339i | 0.824676 | + | 0.00563351i | ||||
\(43\) | −163.912 | − | 23.5669i | −0.581309 | − | 0.0835797i | −0.154614 | − | 0.987975i | \(-0.549413\pi\) |
−0.426696 | + | 0.904395i | \(0.640322\pi\) | |||||||
\(44\) | 185.581 | + | 406.366i | 0.635850 | + | 1.39232i | ||||
\(45\) | −284.270 | − | 3.88399i | −0.941700 | − | 0.0128665i | ||||
\(46\) | −183.581 | + | 625.219i | −0.588424 | + | 2.00399i | ||||
\(47\) | −467.586 | + | 213.539i | −1.45116 | + | 0.662721i | −0.976117 | − | 0.217243i | \(-0.930293\pi\) |
−0.475039 | + | 0.879965i | \(0.657566\pi\) | |||||||
\(48\) | −120.050 | + | 16.4244i | −0.360995 | + | 0.0493887i | ||||
\(49\) | −35.2137 | − | 244.917i | −0.102664 | − | 0.714043i | ||||
\(50\) | −8.88612 | + | 61.8043i | −0.0251337 | + | 0.174809i | ||||
\(51\) | 20.2640 | + | 6.10072i | 0.0556378 | + | 0.0167504i | ||||
\(52\) | 562.828 | − | 487.693i | 1.50097 | − | 1.30059i | ||||
\(53\) | −53.4855 | − | 372.000i | −0.138619 | − | 0.964116i | −0.933813 | − | 0.357761i | \(-0.883540\pi\) |
0.795194 | − | 0.606355i | \(-0.207369\pi\) | |||||||
\(54\) | −569.119 | + | 245.941i | −1.43421 | + | 0.619784i | ||||
\(55\) | 343.247 | − | 220.592i | 0.841517 | − | 0.540810i | ||||
\(56\) | 42.9473 | + | 146.265i | 0.102483 | + | 0.349026i | ||||
\(57\) | −66.5433 | − | 105.115i | −0.154629 | − | 0.244261i | ||||
\(58\) | 121.433 | + | 105.223i | 0.274914 | + | 0.238214i | ||||
\(59\) | 111.995 | − | 174.267i | 0.247127 | − | 0.384537i | −0.695424 | − | 0.718600i | \(-0.744783\pi\) |
0.942551 | + | 0.334063i | \(0.108420\pi\) | |||||||
\(60\) | −173.570 | − | 606.417i | −0.373462 | − | 1.30480i | ||||
\(61\) | −139.406 | + | 474.774i | −0.292609 | + | 0.996535i | 0.673669 | + | 0.739033i | \(0.264717\pi\) |
−0.966278 | + | 0.257501i | \(0.917101\pi\) | |||||||
\(62\) | 201.685 | + | 686.877i | 0.413130 | + | 1.40699i | ||||
\(63\) | −139.652 | − | 223.973i | −0.279278 | − | 0.447904i | ||||
\(64\) | −340.691 | − | 746.008i | −0.665411 | − | 1.45705i | ||||
\(65\) | −514.048 | − | 445.425i | −0.980921 | − | 0.849972i | ||||
\(66\) | 486.162 | − | 745.240i | 0.906703 | − | 1.38989i | ||||
\(67\) | 271.669 | + | 476.402i | 0.495368 | + | 0.868683i | ||||
\(68\) | 46.9531i | 0.0837337i | ||||||||
\(69\) | 736.610 | − | 210.833i | 1.28518 | − | 0.367846i | ||||
\(70\) | 413.770 | − | 188.962i | 0.706500 | − | 0.322648i | ||||
\(71\) | −1022.22 | + | 146.972i | −1.70866 | + | 0.245668i | −0.926199 | − | 0.377036i | \(-0.876943\pi\) |
−0.782458 | + | 0.622703i | \(0.786034\pi\) | |||||||
\(72\) | −271.343 | − | 321.930i | −0.444141 | − | 0.526943i | ||||
\(73\) | 493.708 | + | 144.966i | 0.791564 | + | 0.232424i | 0.652430 | − | 0.757849i | \(-0.273750\pi\) |
0.139135 | + | 0.990273i | \(0.455568\pi\) | |||||||
\(74\) | 1.84791 | − | 2.13260i | 0.00290291 | − | 0.00335014i | ||||
\(75\) | 66.9909 | − | 30.0424i | 0.103139 | − | 0.0462533i | ||||
\(76\) | 180.756 | − | 208.604i | 0.272818 | − | 0.314849i | ||||
\(77\) | 344.577 | + | 157.363i | 0.509977 | + | 0.232899i | ||||
\(78\) | −1420.35 | − | 427.613i | −2.06184 | − | 0.620739i | ||||
\(79\) | −107.276 | − | 166.924i | −0.152778 | − | 0.237727i | 0.756425 | − | 0.654080i | \(-0.226944\pi\) |
−0.909203 | + | 0.416354i | \(0.863308\pi\) | |||||||
\(80\) | −206.558 | + | 132.747i | −0.288674 | + | 0.185520i | ||||
\(81\) | 602.277 | + | 410.735i | 0.826169 | + | 0.563423i | ||||
\(82\) | 123.057 | + | 142.015i | 0.165724 | + | 0.191256i | ||||
\(83\) | −149.921 | − | 510.583i | −0.198264 | − | 0.675226i | −0.997266 | − | 0.0738969i | \(-0.976456\pi\) |
0.799002 | − | 0.601329i | \(-0.205362\pi\) | |||||||
\(84\) | 386.509 | − | 439.947i | 0.502043 | − | 0.571454i | ||||
\(85\) | 42.4472 | − | 6.10299i | 0.0541652 | − | 0.00778778i | ||||
\(86\) | −553.054 | + | 479.224i | −0.693458 | + | 0.600884i | ||||
\(87\) | 28.1647 | − | 186.821i | 0.0347077 | − | 0.230222i | ||||
\(88\) | 579.780 | + | 170.239i | 0.702327 | + | 0.206222i | ||||
\(89\) | 165.678 | + | 75.6626i | 0.197324 | + | 0.0901148i | 0.511626 | − | 0.859208i | \(-0.329043\pi\) |
−0.314302 | + | 0.949323i | \(0.601771\pi\) | |||||||
\(90\) | −835.625 | + | 938.152i | −0.978695 | + | 1.09878i | ||||
\(91\) | 89.8704 | − | 625.063i | 0.103527 | − | 0.720048i | ||||
\(92\) | 919.057 | + | 1430.08i | 1.04150 | + | 1.62061i | ||||
\(93\) | 555.561 | − | 632.371i | 0.619451 | − | 0.705095i | ||||
\(94\) | −639.984 | + | 2179.58i | −0.702226 | + | 2.39156i | ||||
\(95\) | −212.080 | − | 136.296i | −0.229042 | − | 0.147196i | ||||
\(96\) | −646.732 | + | 991.378i | −0.687570 | + | 1.05398i | ||||
\(97\) | 1834.47i | 1.92023i | 0.279609 | + | 0.960114i | \(0.409795\pi\) | ||||
−0.279609 | + | 0.960114i | \(0.590205\pi\) | |||||||
\(98\) | −919.867 | − | 591.163i | −0.948169 | − | 0.609351i | ||||
\(99\) | −1046.15 | − | 14.2936i | −1.06204 | − | 0.0145107i | ||||
\(100\) | 106.673 | + | 123.107i | 0.106673 | + | 0.123107i | ||||
\(101\) | −354.406 | − | 409.007i | −0.349156 | − | 0.402947i | 0.553822 | − | 0.832635i | \(-0.313169\pi\) |
−0.902977 | + | 0.429688i | \(0.858624\pi\) | |||||||
\(102\) | 79.0172 | − | 50.0219i | 0.0767046 | − | 0.0485579i | ||||
\(103\) | 960.253 | + | 617.117i | 0.918607 | + | 0.590353i | 0.912253 | − | 0.409627i | \(-0.134341\pi\) |
0.00635399 | + | 0.999980i | \(0.497977\pi\) | |||||||
\(104\) | − | 1007.32i | − | 0.949768i | ||||||
\(105\) | −447.966 | − | 292.233i | −0.416352 | − | 0.271610i | ||||
\(106\) | −1397.17 | − | 897.907i | −1.28024 | − | 0.822759i | ||||
\(107\) | −209.721 | + | 714.243i | −0.189481 | + | 0.645313i | 0.808874 | + | 0.587982i | \(0.200077\pi\) |
−0.998355 | + | 0.0573313i | \(0.981741\pi\) | |||||||
\(108\) | −487.388 | + | 1542.25i | −0.434250 | + | 1.37410i | ||||
\(109\) | −1022.50 | − | 1591.03i | −0.898507 | − | 1.39810i | −0.917264 | − | 0.398281i | \(-0.869607\pi\) |
0.0187561 | − | 0.999824i | \(-0.494029\pi\) | |||||||
\(110\) | 256.606 | − | 1784.73i | 0.222422 | − | 1.54698i | ||||
\(111\) | −3.28093 | − | 0.494626i | −0.00280552 | − | 0.000422953i | ||||
\(112\) | −207.359 | − | 94.6976i | −0.174943 | − | 0.0798936i | ||||
\(113\) | −398.619 | − | 117.045i | −0.331849 | − | 0.0974397i | 0.111564 | − | 0.993757i | \(-0.464414\pi\) |
−0.443413 | + | 0.896318i | \(0.646232\pi\) | |||||||
\(114\) | −543.629 | − | 81.9562i | −0.446628 | − | 0.0673325i | ||||
\(115\) | 1173.38 | − | 1016.74i | 0.951466 | − | 0.824450i | ||||
\(116\) | 414.916 | − | 59.6560i | 0.332104 | − | 0.0477493i | ||||
\(117\) | 468.473 | + | 1680.05i | 0.370174 | + | 1.32753i | ||||
\(118\) | −257.907 | − | 878.350i | −0.201206 | − | 0.685243i | ||||
\(119\) | 26.0724 | + | 30.0892i | 0.0200845 | + | 0.0231788i | ||||
\(120\) | −773.639 | − | 359.716i | −0.588527 | − | 0.273645i | ||||
\(121\) | 143.488 | − | 92.2140i | 0.107805 | − | 0.0692818i | ||||
\(122\) | 1182.20 | + | 1839.54i | 0.877306 | + | 1.36511i | ||||
\(123\) | 63.6968 | − | 211.574i | 0.0466939 | − | 0.155097i | ||||
\(124\) | 1698.81 | + | 775.823i | 1.23031 | + | 0.561862i | ||||
\(125\) | 959.348 | − | 1107.15i | 0.686453 | − | 0.792210i | ||||
\(126\) | −1152.16 | − | 181.754i | −0.814621 | − | 0.128507i | ||||
\(127\) | 1127.89 | − | 1301.66i | 0.788067 | − | 0.909477i | −0.209597 | − | 0.977788i | \(-0.567215\pi\) |
0.997664 | + | 0.0683104i | \(0.0217608\pi\) | |||||||
\(128\) | −1728.84 | − | 507.634i | −1.19382 | − | 0.350538i | ||||
\(129\) | 823.938 | + | 248.056i | 0.562354 | + | 0.169303i | ||||
\(130\) | −2975.22 | + | 427.772i | −2.00726 | + | 0.288601i | ||||
\(131\) | 1645.29 | − | 751.378i | 1.09732 | − | 0.501131i | 0.217322 | − | 0.976100i | \(-0.430268\pi\) |
0.880003 | + | 0.474969i | \(0.157541\pi\) | |||||||
\(132\) | −638.759 | − | 2231.70i | −0.421188 | − | 1.47155i | ||||
\(133\) | − | 234.053i | − | 0.152593i | ||||||
\(134\) | 2377.25 | + | 471.358i | 1.53256 | + | 0.303874i | ||||
\(135\) | 1457.60 | + | 240.154i | 0.929260 | + | 0.153105i | ||||
\(136\) | 47.9967 | + | 41.5894i | 0.0302624 | + | 0.0262225i | ||||
\(137\) | −641.750 | − | 1405.24i | −0.400207 | − | 0.876332i | −0.997249 | − | 0.0741217i | \(-0.976385\pi\) |
0.597042 | − | 0.802210i | \(-0.296343\pi\) | |||||||
\(138\) | 1427.55 | − | 3070.23i | 0.880590 | − | 1.89388i | ||||
\(139\) | 319.363 | + | 1087.65i | 0.194878 | + | 0.663692i | 0.997719 | + | 0.0675000i | \(0.0215023\pi\) |
−0.802842 | + | 0.596192i | \(0.796680\pi\) | |||||||
\(140\) | 334.329 | − | 1138.62i | 0.201828 | − | 0.687363i | ||||
\(141\) | 2567.91 | − | 734.989i | 1.53374 | − | 0.438988i | ||||
\(142\) | −2467.35 | + | 3839.27i | −1.45814 | + | 2.26891i | ||||
\(143\) | −1891.77 | − | 1639.23i | −1.10628 | − | 0.958594i | ||||
\(144\) | 629.551 | + | 8.60157i | 0.364324 | + | 0.00497776i | ||||
\(145\) | −107.862 | − | 367.345i | −0.0617756 | − | 0.210388i | ||||
\(146\) | 1912.90 | − | 1229.35i | 1.08433 | − | 0.696859i | ||||
\(147\) | −8.78273 | + | 1285.68i | −0.00492781 | + | 0.721369i | ||||
\(148\) | −1.04767 | − | 7.28673i | −0.000581880 | − | 0.00404706i | ||||
\(149\) | 811.171 | − | 702.883i | 0.445998 | − | 0.386459i | −0.402705 | − | 0.915330i | \(-0.631930\pi\) |
0.848702 | + | 0.528871i | \(0.177384\pi\) | |||||||
\(150\) | 93.5317 | − | 310.673i | 0.0509122 | − | 0.169109i | ||||
\(151\) | 290.355 | − | 2019.46i | 0.156482 | − | 1.08836i | −0.748570 | − | 0.663055i | \(-0.769259\pi\) |
0.905052 | − | 0.425300i | \(-0.139832\pi\) | |||||||
\(152\) | −53.1330 | − | 369.548i | −0.0283530 | − | 0.197199i | ||||
\(153\) | −99.3927 | − | 47.0427i | −0.0525191 | − | 0.0248574i | ||||
\(154\) | 1522.73 | − | 695.408i | 0.796786 | − | 0.363880i | ||||
\(155\) | 480.558 | − | 1636.63i | 0.249028 | − | 0.848111i | ||||
\(156\) | −3269.63 | + | 2069.84i | −1.67808 | + | 1.06231i | ||||
\(157\) | −191.791 | − | 419.964i | −0.0974944 | − | 0.213483i | 0.854600 | − | 0.519286i | \(-0.173802\pi\) |
−0.952095 | + | 0.305804i | \(0.901075\pi\) | |||||||
\(158\) | −867.931 | − | 124.790i | −0.437018 | − | 0.0628338i | ||||
\(159\) | −13.3400 | + | 1952.80i | −0.00665363 | + | 0.974007i | ||||
\(160\) | −341.358 | + | 2374.20i | −0.168667 | + | 1.17310i | ||||
\(161\) | 1383.07 | + | 406.106i | 0.677027 | + | 0.198793i | ||||
\(162\) | 3114.69 | − | 822.825i | 1.51058 | − | 0.399057i | ||||
\(163\) | 300.203 | 0.144256 | 0.0721280 | − | 0.997395i | \(-0.477021\pi\) | ||||
0.0721280 | + | 0.997395i | \(0.477021\pi\) | |||||||
\(164\) | 490.231 | 0.233418 | ||||||||
\(165\) | −1934.51 | + | 867.538i | −0.912734 | + | 0.409320i | ||||
\(166\) | −2139.08 | − | 976.884i | −1.00015 | − | 0.456752i | ||||
\(167\) | −1994.40 | + | 1728.16i | −0.924142 | + | 0.800773i | −0.980273 | − | 0.197650i | \(-0.936669\pi\) |
0.0561309 | + | 0.998423i | \(0.482124\pi\) | |||||||
\(168\) | −107.369 | − | 784.790i | −0.0493078 | − | 0.360404i | ||||
\(169\) | −820.810 | + | 1797.32i | −0.373605 | + | 0.818080i | ||||
\(170\) | 102.456 | − | 159.425i | 0.0462236 | − | 0.0719254i | ||||
\(171\) | 260.483 | + | 591.637i | 0.116489 | + | 0.264582i | ||||
\(172\) | 1909.12i | 0.846331i | ||||||||
\(173\) | 1519.55 | − | 2364.47i | 0.667800 | − | 1.03912i | −0.327739 | − | 0.944768i | \(-0.606287\pi\) |
0.995539 | − | 0.0943487i | \(-0.0300769\pi\) | |||||||
\(174\) | −542.430 | − | 634.707i | −0.236330 | − | 0.276534i | ||||
\(175\) | 136.720 | + | 19.6573i | 0.0590574 | + | 0.00849117i | ||||
\(176\) | −760.163 | + | 488.527i | −0.325565 | + | 0.209228i | ||||
\(177\) | −710.429 | + | 808.650i | −0.301690 | + | 0.343400i | ||||
\(178\) | 732.152 | − | 334.363i | 0.308298 | − | 0.140795i | ||||
\(179\) | −74.6712 | + | 163.507i | −0.0311798 | + | 0.0682743i | −0.924581 | − | 0.380985i | \(-0.875585\pi\) |
0.893401 | + | 0.449260i | \(0.148312\pi\) | |||||||
\(180\) | 422.081 | + | 3250.28i | 0.174778 | + | 1.34590i | ||||
\(181\) | 998.338 | + | 2186.06i | 0.409977 | + | 0.897725i | 0.996160 | + | 0.0875466i | \(0.0279027\pi\) |
−0.586183 | + | 0.810179i | \(0.699370\pi\) | |||||||
\(182\) | −1827.48 | − | 2109.02i | −0.744295 | − | 0.858962i | ||||
\(183\) | 1084.05 | − | 2331.45i | 0.437896 | − | 0.941779i | ||||
\(184\) | 2275.94 | + | 327.230i | 0.911871 | + | 0.131107i | ||||
\(185\) | −6.45128 | + | 1.89427i | −0.00256382 | + | 0.000752806i | ||||
\(186\) | −504.218 | − | 3685.46i | −0.198769 | − | 1.45286i | ||||
\(187\) | 156.211 | − | 22.4598i | 0.0610872 | − | 0.00878302i | ||||
\(188\) | 3203.94 | + | 4985.42i | 1.24293 | + | 1.93404i | ||||
\(189\) | 544.056 | + | 1258.97i | 0.209387 | + | 0.484532i | ||||
\(190\) | −1068.93 | + | 313.867i | −0.408151 | + | 0.119844i | ||||
\(191\) | −2106.89 | + | 4613.44i | −0.798162 | + | 1.74773i | −0.146515 | + | 0.989208i | \(0.546806\pi\) |
−0.651647 | + | 0.758523i | \(0.725922\pi\) | |||||||
\(192\) | 1172.64 | + | 4096.96i | 0.440770 | + | 1.53996i | ||||
\(193\) | 84.4552 | + | 54.2761i | 0.0314985 | + | 0.0202429i | 0.556295 | − | 0.830985i | \(-0.312222\pi\) |
−0.524797 | + | 0.851228i | \(0.675859\pi\) | |||||||
\(194\) | 6126.67 | + | 5308.79i | 2.26737 | + | 1.96469i | ||||
\(195\) | 2296.20 | + | 2686.82i | 0.843252 | + | 0.986704i | ||||
\(196\) | −2737.05 | + | 803.671i | −0.997468 | + | 0.292883i | ||||
\(197\) | 513.329 | + | 3570.28i | 0.185651 | + | 1.29123i | 0.843111 | + | 0.537739i | \(0.180722\pi\) |
−0.657460 | + | 0.753489i | \(0.728369\pi\) | |||||||
\(198\) | −3075.21 | + | 3452.53i | −1.10377 | + | 1.23919i | ||||
\(199\) | 3445.87 | − | 3976.74i | 1.22749 | − | 1.41660i | 0.350179 | − | 0.936683i | \(-0.386121\pi\) |
0.877313 | − | 0.479919i | \(-0.159334\pi\) | |||||||
\(200\) | 220.331 | 0.0778987 | ||||||||
\(201\) | −1026.84 | − | 2658.23i | −0.360336 | − | 0.932823i | ||||
\(202\) | −2391.60 | −0.833032 | ||||||||
\(203\) | 232.767 | − | 268.628i | 0.0804781 | − | 0.0928766i | ||||
\(204\) | 36.3701 | − | 241.249i | 0.0124824 | − | 0.0827981i | ||||
\(205\) | −63.7205 | − | 443.186i | −0.0217094 | − | 0.150992i | ||||
\(206\) | 4839.91 | − | 1421.13i | 1.63695 | − | 0.480653i | ||||
\(207\) | −3948.08 | + | 512.699i | −1.32566 | + | 0.172150i | ||||
\(208\) | 1138.42 | + | 986.449i | 0.379497 | + | 0.328836i | ||||
\(209\) | −780.483 | − | 501.586i | −0.258312 | − | 0.166007i | ||||
\(210\) | −2272.36 | + | 650.398i | −0.746704 | + | 0.213722i | ||||
\(211\) | −362.535 | + | 793.842i | −0.118284 | + | 0.259006i | −0.959508 | − | 0.281680i | \(-0.909108\pi\) |
0.841224 | + | 0.540687i | \(0.181836\pi\) | |||||||
\(212\) | −4157.27 | + | 1220.68i | −1.34680 | + | 0.395457i | ||||
\(213\) | 5366.08 | + | 36.6567i | 1.72619 | + | 0.0117919i | ||||
\(214\) | 1778.48 | + | 2767.37i | 0.568106 | + | 0.883989i | ||||
\(215\) | 1725.91 | − | 248.148i | 0.547470 | − | 0.0787143i | ||||
\(216\) | 1144.82 | + | 1864.29i | 0.360625 | + | 0.587264i | ||||
\(217\) | 1519.47 | − | 446.156i | 0.475337 | − | 0.139571i | ||||
\(218\) | −8272.67 | − | 1189.43i | −2.57017 | − | 0.369534i | ||||
\(219\) | −2424.43 | − | 1127.28i | −0.748071 | − | 0.347828i | ||||
\(220\) | −3080.41 | − | 3554.98i | −0.944006 | − | 1.08944i | ||||
\(221\) | −109.291 | − | 239.314i | −0.0332656 | − | 0.0728416i | ||||
\(222\) | −11.1467 | + | 9.52611i | −0.00336989 | + | 0.00287996i | ||||
\(223\) | −850.461 | + | 1862.25i | −0.255386 | + | 0.559217i | −0.993285 | − | 0.115694i | \(-0.963091\pi\) |
0.737899 | + | 0.674911i | \(0.235818\pi\) | |||||||
\(224\) | −2025.66 | + | 925.087i | −0.604218 | + | 0.275937i | ||||
\(225\) | −367.476 | + | 102.469i | −0.108882 | + | 0.0303611i | ||||
\(226\) | −1544.47 | + | 992.571i | −0.454587 | + | 0.292145i | ||||
\(227\) | −769.420 | − | 110.626i | −0.224970 | − | 0.0323458i | 0.0289079 | − | 0.999582i | \(-0.490797\pi\) |
−0.253878 | + | 0.967236i | \(0.581706\pi\) | |||||||
\(228\) | −1090.33 | + | 931.811i | −0.316705 | + | 0.270661i | ||||
\(229\) | 2030.98 | − | 3160.27i | 0.586075 | − | 0.911951i | −0.413924 | − | 0.910312i | \(-0.635842\pi\) |
0.999999 | − | 0.00163905i | \(-0.000521726\pi\) | |||||||
\(230\) | − | 6861.17i | − | 1.96701i | ||||||
\(231\) | −1648.57 | − | 1075.46i | −0.469560 | − | 0.306320i | ||||
\(232\) | 306.536 | − | 476.980i | 0.0867461 | − | 0.134980i | ||||
\(233\) | −2039.65 | + | 4466.21i | −0.573485 | + | 1.25576i | 0.371436 | + | 0.928458i | \(0.378865\pi\) |
−0.944921 | + | 0.327298i | \(0.893862\pi\) | |||||||
\(234\) | 6966.67 | + | 3297.33i | 1.94626 | + | 0.921167i | ||||
\(235\) | 4090.55 | − | 3544.48i | 1.13548 | − | 0.983899i | ||||
\(236\) | −2172.38 | − | 992.091i | −0.599193 | − | 0.273642i | ||||
\(237\) | 421.891 | + | 940.767i | 0.115632 | + | 0.257846i | ||||
\(238\) | 175.942 | 0.0479186 | ||||||||
\(239\) | −4436.21 | −1.20065 | −0.600323 | − | 0.799758i | \(-0.704961\pi\) | ||||
−0.600323 | + | 0.799758i | \(0.704961\pi\) | |||||||
\(240\) | 1164.14 | − | 522.065i | 0.313104 | − | 0.140413i | ||||
\(241\) | 417.270 | + | 122.521i | 0.111530 | + | 0.0327481i | 0.337021 | − | 0.941497i | \(-0.390581\pi\) |
−0.225491 | + | 0.974245i | \(0.572399\pi\) | |||||||
\(242\) | 107.269 | − | 746.073i | 0.0284939 | − | 0.198179i | ||||
\(243\) | −2776.40 | − | 2576.92i | −0.732946 | − | 0.680287i | ||||
\(244\) | 5646.53 | + | 811.849i | 1.48149 | + | 0.213005i | ||||
\(245\) | 1082.31 | + | 2369.93i | 0.282230 | + | 0.617997i | ||||
\(246\) | −522.272 | − | 825.008i | −0.135361 | − | 0.213824i | ||||
\(247\) | −435.732 | + | 1483.97i | −0.112247 | + | 0.382278i | ||||
\(248\) | 2297.82 | − | 1049.38i | 0.588353 | − | 0.268692i | ||||
\(249\) | 374.805 | + | 2739.55i | 0.0953908 | + | 0.697236i | ||||
\(250\) | −921.327 | − | 6407.97i | −0.233079 | − | 1.62110i | ||||
\(251\) | 728.104 | − | 5064.07i | 0.183098 | − | 1.27347i | −0.666286 | − | 0.745696i | \(-0.732117\pi\) |
0.849384 | − | 0.527776i | \(-0.176974\pi\) | |||||||
\(252\) | −2326.70 | + | 1961.09i | −0.581621 | + | 0.490227i | ||||
\(253\) | 4318.21 | − | 3741.75i | 1.07306 | − | 0.929810i | ||||
\(254\) | −1083.19 | − | 7533.78i | −0.267581 | − | 1.86107i | ||||
\(255\) | −222.825 | − | 1.52216i | −0.0547209 | − | 0.000373809i | ||||
\(256\) | −1179.05 | + | 757.730i | −0.287854 | + | 0.184993i | ||||
\(257\) | 1928.91 | + | 6569.27i | 0.468179 | + | 1.59447i | 0.767982 | + | 0.640472i | \(0.221261\pi\) |
−0.299802 | + | 0.954001i | \(0.596921\pi\) | |||||||
\(258\) | 3212.85 | − | 2033.90i | 0.775285 | − | 0.490794i | ||||
\(259\) | −4.71761 | − | 4.08784i | −0.00113181 | − | 0.000980717i | ||||
\(260\) | −4239.50 | + | 6596.79i | −1.01124 | + | 1.57352i | ||||
\(261\) | −289.425 | + | 938.087i | −0.0686398 | + | 0.222476i | ||||
\(262\) | 2251.90 | − | 7669.28i | 0.531004 | − | 1.80843i | ||||
\(263\) | −1245.89 | − | 4243.11i | −0.292110 | − | 0.994834i | −0.966544 | − | 0.256499i | \(-0.917431\pi\) |
0.674435 | − | 0.738334i | \(-0.264387\pi\) | |||||||
\(264\) | −2847.10 | − | 1323.80i | −0.663737 | − | 0.308615i | ||||
\(265\) | 1643.90 | + | 3599.65i | 0.381073 | + | 0.834432i | ||||
\(266\) | −781.678 | − | 677.328i | −0.180180 | − | 0.156126i | ||||
\(267\) | −792.660 | − | 517.097i | −0.181685 | − | 0.118524i | ||||
\(268\) | 4990.66 | − | 3881.74i | 1.13751 | − | 0.884758i | ||||
\(269\) | 2203.54i | 0.499452i | 0.968317 | + | 0.249726i | \(0.0803405\pi\) | ||||
−0.968317 | + | 0.249726i | \(0.919660\pi\) | |||||||
\(270\) | 5020.22 | − | 4173.03i | 1.13156 | − | 0.940603i | ||||
\(271\) | −6612.64 | + | 3019.89i | −1.48225 | + | 0.676920i | −0.981986 | − | 0.188954i | \(-0.939490\pi\) |
−0.500262 | + | 0.865874i | \(0.666763\pi\) | |||||||
\(272\) | −94.0045 | + | 13.5158i | −0.0209554 | + | 0.00301293i | ||||
\(273\) | −945.940 | + | 3142.01i | −0.209710 | + | 0.696569i | ||||
\(274\) | −6550.31 | − | 1923.35i | −1.44423 | − | 0.424064i | ||||
\(275\) | 358.547 | − | 413.786i | 0.0786226 | − | 0.0907353i | ||||
\(276\) | −3614.45 | − | 8059.79i | −0.788277 | − | 1.75776i | ||||
\(277\) | −2103.09 | + | 2427.09i | −0.456182 | + | 0.526462i | −0.936516 | − | 0.350624i | \(-0.885970\pi\) |
0.480335 | + | 0.877085i | \(0.340515\pi\) | |||||||
\(278\) | 4556.69 | + | 2080.97i | 0.983065 | + | 0.448951i | ||||
\(279\) | −3344.36 | + | 2818.84i | −0.717640 | + | 0.604872i | ||||
\(280\) | −867.791 | − | 1350.31i | −0.185216 | − | 0.288202i | ||||
\(281\) | −273.974 | + | 176.072i | −0.0581634 | + | 0.0373794i | −0.569399 | − | 0.822061i | \(-0.692824\pi\) |
0.511236 | + | 0.859440i | \(0.329188\pi\) | |||||||
\(282\) | 4976.61 | − | 10703.2i | 1.05090 | − | 2.26016i | ||||
\(283\) | −3985.62 | − | 4599.65i | −0.837174 | − | 0.966151i | 0.162615 | − | 0.986690i | \(-0.448007\pi\) |
−0.999789 | + | 0.0205390i | \(0.993462\pi\) | |||||||
\(284\) | 3354.30 | + | 11423.7i | 0.700850 | + | 2.38687i | ||||
\(285\) | 984.111 | + | 864.577i | 0.204539 | + | 0.179695i | ||||
\(286\) | −10949.2 | + | 1574.26i | −2.26378 | + | 0.325482i | ||||
\(287\) | 314.157 | − | 272.219i | 0.0646137 | − | 0.0559881i | ||||
\(288\) | 4090.89 | − | 4592.83i | 0.837008 | − | 0.939705i | ||||
\(289\) | −4698.07 | − | 1379.48i | −0.956254 | − | 0.280781i | ||||
\(290\) | −1538.98 | − | 702.830i | −0.311628 | − | 0.142316i | ||||
\(291\) | 1420.99 | − | 9425.67i | 0.286254 | − | 1.89877i | ||||
\(292\) | 844.226 | − | 5871.72i | 0.169194 | − | 1.17677i | ||||
\(293\) | 2853.50 | + | 4440.13i | 0.568953 | + | 0.885308i | 0.999854 | − | 0.0170913i | \(-0.00544058\pi\) |
−0.430901 | + | 0.902399i | \(0.641804\pi\) | |||||||
\(294\) | 4268.44 | + | 3749.98i | 0.846737 | + | 0.743889i | ||||
\(295\) | −614.518 | + | 2092.86i | −0.121283 | + | 0.413053i | ||||
\(296\) | −8.37668 | − | 5.38337i | −0.00164488 | − | 0.00105710i | ||||
\(297\) | 5364.16 | + | 883.798i | 1.04801 | + | 0.172671i | ||||
\(298\) | − | 4743.19i | − | 0.922033i | ||||||
\(299\) | −8013.06 | − | 5149.68i | −1.54986 | − | 0.996033i | ||||
\(300\) | −452.736 | − | 715.165i | −0.0871291 | − | 0.137634i | ||||
\(301\) | 1060.11 | + | 1223.43i | 0.203002 | + | 0.234277i | ||||
\(302\) | −5904.25 | − | 6813.87i | −1.12501 | − | 1.29833i | ||||
\(303\) | 1504.15 | + | 2376.04i | 0.285186 | + | 0.450494i | ||||
\(304\) | 469.677 | + | 301.843i | 0.0886113 | + | 0.0569470i | ||||
\(305\) | − | 5210.19i | − | 0.978146i | ||||||
\(306\) | −444.745 | + | 195.810i | −0.0830862 | + | 0.0365807i | ||||
\(307\) | −5709.61 | − | 3669.35i | −1.06145 | − | 0.682152i | −0.111249 | − | 0.993793i | \(-0.535485\pi\) |
−0.950200 | + | 0.311641i | \(0.899122\pi\) | |||||||
\(308\) | 1230.38 | − | 4190.27i | 0.227621 | − | 0.775205i | ||||
\(309\) | −4455.85 | − | 3914.62i | −0.820337 | − | 0.720696i | ||||
\(310\) | −4075.25 | − | 6341.21i | −0.746640 | − | 1.16179i | ||||
\(311\) | −713.087 | + | 4959.63i | −0.130017 | + | 0.904291i | 0.815509 | + | 0.578745i | \(0.196457\pi\) |
−0.945526 | + | 0.325546i | \(0.894452\pi\) | |||||||
\(312\) | −780.276 | + | 5175.70i | −0.141585 | + | 0.939155i | ||||
\(313\) | 4235.54 | + | 1934.31i | 0.764878 | + | 0.349308i | 0.759355 | − | 0.650677i | \(-0.225515\pi\) |
0.00552292 | + | 0.999985i | \(0.498242\pi\) | |||||||
\(314\) | −1957.61 | − | 574.805i | −0.351828 | − | 0.103306i | ||||
\(315\) | 2075.32 | + | 1848.52i | 0.371210 | + | 0.330642i | ||||
\(316\) | −1728.82 | + | 1498.03i | −0.307765 | + | 0.266680i | ||||
\(317\) | 1746.56 | − | 251.118i | 0.309454 | − | 0.0444927i | 0.0141615 | − | 0.999900i | \(-0.495492\pi\) |
0.295292 | + | 0.955407i | \(0.404583\pi\) | |||||||
\(318\) | 6483.27 | + | 5695.79i | 1.14328 | + | 1.00441i | ||||
\(319\) | −396.947 | − | 1351.88i | −0.0696702 | − | 0.237275i | ||||
\(320\) | 5655.03 | + | 6526.25i | 0.987893 | + | 1.14009i | ||||
\(321\) | 1630.82 | − | 3507.40i | 0.283563 | − | 0.609856i | ||||
\(322\) | 5358.78 | − | 3443.88i | 0.927432 | − | 0.596025i | ||||
\(323\) | −52.7178 | − | 82.0305i | −0.00908142 | − | 0.0141310i | ||||
\(324\) | 3698.88 | − | 7546.68i | 0.634239 | − | 1.29401i | ||||
\(325\) | −830.251 | − | 379.163i | −0.141705 | − | 0.0647144i | ||||
\(326\) | 868.762 | − | 1002.61i | 0.147596 | − | 0.170335i | ||||
\(327\) | 4021.25 | + | 8966.91i | 0.680048 | + | 1.51643i | ||||
\(328\) | 434.229 | − | 501.127i | 0.0730985 | − | 0.0843602i | ||||
\(329\) | 4821.54 | + | 1415.73i | 0.807964 | + | 0.237240i | ||||
\(330\) | −2700.93 | + | 8971.36i | −0.450549 | + | 1.49654i | ||||
\(331\) | −4053.91 | + | 582.865i | −0.673182 | + | 0.0967890i | −0.470425 | − | 0.882440i | \(-0.655899\pi\) |
−0.202757 | + | 0.979229i | \(0.564990\pi\) | |||||||
\(332\) | −5580.46 | + | 2548.51i | −0.922492 | + | 0.421288i | ||||
\(333\) | 16.4746 | + | 5.08286i | 0.00271112 | + | 0.000836454i | ||||
\(334\) | 11662.0i | 1.91052i | ||||||||
\(335\) | −4157.92 | − | 4007.18i | −0.678124 | − | 0.653539i | ||||
\(336\) | 992.075 | + | 647.186i | 0.161078 | + | 0.105080i | ||||
\(337\) | −2942.11 | − | 2549.35i | −0.475570 | − | 0.412083i | 0.383817 | − | 0.923409i | \(-0.374609\pi\) |
−0.859387 | + | 0.511326i | \(0.829155\pi\) | |||||||
\(338\) | 3627.26 | + | 7942.60i | 0.583719 | + | 1.27817i | ||||
\(339\) | 1957.48 | + | 910.162i | 0.313615 | + | 0.145821i | ||||
\(340\) | −139.286 | − | 474.366i | −0.0222173 | − | 0.0756651i | ||||
\(341\) | 1768.52 | − | 6023.02i | 0.280852 | − | 0.956495i | ||||
\(342\) | 2729.73 | + | 842.197i | 0.431600 | + | 0.133160i | ||||
\(343\) | −3120.54 | + | 4855.66i | −0.491234 | + | 0.764376i | ||||
\(344\) | 1951.55 | + | 1691.03i | 0.305874 | + | 0.265042i | ||||
\(345\) | −6816.53 | + | 4315.21i | −1.06374 | + | 0.673400i | ||||
\(346\) | −3499.29 | − | 11917.5i | −0.543708 | − | 1.85170i | ||||
\(347\) | −879.625 | + | 565.301i | −0.136083 | + | 0.0874552i | −0.606911 | − | 0.794770i | \(-0.707592\pi\) |
0.470828 | + | 0.882225i | \(0.343955\pi\) | |||||||
\(348\) | −2178.09 | − | 14.8789i | −0.335511 | − | 0.00229194i | ||||
\(349\) | 1355.08 | + | 9424.76i | 0.207838 | + | 1.44555i | 0.780192 | + | 0.625540i | \(0.215121\pi\) |
−0.572353 | + | 0.820007i | \(0.693969\pi\) | |||||||
\(350\) | 461.306 | − | 399.724i | 0.0704509 | − | 0.0610461i | ||||
\(351\) | −1105.68 | − | 8995.12i | −0.168139 | − | 1.36788i | ||||
\(352\) | −1256.24 | + | 8737.36i | −0.190222 | + | 1.32302i | ||||
\(353\) | 425.248 | + | 2957.66i | 0.0641180 | + | 0.445951i | 0.996439 | + | 0.0843184i | \(0.0268713\pi\) |
−0.932321 | + | 0.361632i | \(0.882220\pi\) | |||||||
\(354\) | 644.774 | + | 4712.82i | 0.0968061 | + | 0.707581i | ||||
\(355\) | 9891.43 | − | 4517.27i | 1.47882 | − | 0.675357i | ||||
\(356\) | 591.583 | − | 2014.75i | 0.0880726 | − | 0.299948i | ||||
\(357\) | −110.655 | − | 174.797i | −0.0164048 | − | 0.0259138i | ||||
\(358\) | 329.982 | + | 722.559i | 0.0487153 | + | 0.106672i | ||||
\(359\) | 9864.93 | + | 1418.36i | 1.45028 | + | 0.208519i | 0.822009 | − | 0.569475i | \(-0.192853\pi\) |
0.628272 | + | 0.777994i | \(0.283762\pi\) | |||||||
\(360\) | 3696.39 | + | 2447.52i | 0.541158 | + | 0.358321i | ||||
\(361\) | 894.558 | − | 6221.79i | 0.130421 | − | 0.907099i | ||||
\(362\) | 10190.0 | + | 2992.05i | 1.47949 | + | 0.434416i | ||||
\(363\) | −808.683 | + | 362.658i | −0.116928 | + | 0.0524369i | ||||
\(364\) | −7280.25 | −1.04832 | ||||||||
\(365\) | −5417.97 | −0.776958 | ||||||||
\(366\) | −4649.33 | − | 10367.5i | −0.664001 | − | 1.48064i | ||||
\(367\) | −12087.8 | − | 5520.33i | −1.71929 | − | 0.785174i | −0.995458 | − | 0.0951991i | \(-0.969651\pi\) |
−0.723833 | − | 0.689975i | \(-0.757622\pi\) | |||||||
\(368\) | −2598.60 | + | 2251.70i | −0.368102 | + | 0.318962i | ||||
\(369\) | −491.166 | + | 1037.75i | −0.0692930 | + | 0.146404i | ||||
\(370\) | −12.3431 | + | 27.0275i | −0.00173428 | + | 0.00379755i | ||||
\(371\) | −1986.30 | + | 3090.74i | −0.277960 | + | 0.432515i | ||||
\(372\) | −8127.71 | − | 5302.16i | −1.13280 | − | 0.738990i | ||||
\(373\) | 6387.58i | 0.886692i | 0.896351 | + | 0.443346i | \(0.146209\pi\) | ||||
−0.896351 | + | 0.443346i | \(0.853791\pi\) | |||||||
\(374\) | 377.052 | − | 586.705i | 0.0521307 | − | 0.0811170i | ||||
\(375\) | −5786.82 | + | 4945.50i | −0.796880 | + | 0.681026i | ||||
\(376\) | 7934.18 | + | 1140.76i | 1.08823 | + | 0.156464i | ||||
\(377\) | −1975.92 | + | 1269.84i | −0.269933 | + | 0.173476i | ||||
\(378\) | 5779.10 | + | 1826.34i | 0.786362 | + | 0.248510i | ||||
\(379\) | 11010.0 | − | 5028.09i | 1.49220 | − | 0.681466i | 0.508466 | − | 0.861082i | \(-0.330213\pi\) |
0.983737 | + | 0.179616i | \(0.0574855\pi\) | |||||||
\(380\) | −1207.35 | + | 2643.74i | −0.162989 | + | 0.356897i | ||||
\(381\) | −6803.50 | + | 5814.37i | −0.914839 | + | 0.781836i | ||||
\(382\) | 9310.60 | + | 20387.4i | 1.24705 | + | 2.73065i | ||||
\(383\) | −8532.87 | − | 9847.46i | −1.13841 | − | 1.31379i | −0.942896 | − | 0.333089i | \(-0.891909\pi\) |
−0.195510 | − | 0.980702i | \(-0.562636\pi\) | |||||||
\(384\) | 8489.73 | + | 3947.44i | 1.12823 | + | 0.524588i | ||||
\(385\) | −3948.08 | − | 567.648i | −0.522630 | − | 0.0751429i | ||||
\(386\) | 425.675 | − | 124.989i | 0.0561302 | − | 0.0164813i | ||||
\(387\) | −4041.32 | − | 1912.76i | −0.530832 | − | 0.251243i | ||||
\(388\) | 20933.8 | − | 3009.82i | 2.73905 | − | 0.393815i | ||||
\(389\) | −1970.63 | − | 3066.37i | −0.256851 | − | 0.399668i | 0.688749 | − | 0.725000i | \(-0.258160\pi\) |
−0.945600 | + | 0.325332i | \(0.894524\pi\) | |||||||
\(390\) | 15618.3 | + | 106.692i | 2.02786 | + | 0.0138527i | ||||
\(391\) | 576.209 | − | 169.190i | 0.0745272 | − | 0.0218831i | ||||
\(392\) | −1602.85 | + | 3509.76i | −0.206521 | + | 0.452218i | ||||
\(393\) | −9035.67 | + | 2586.20i | −1.15977 | + | 0.331950i | ||||
\(394\) | 13409.4 | + | 8617.69i | 1.71461 | + | 1.10191i | ||||
\(395\) | 1578.98 | + | 1368.20i | 0.201133 | + | 0.174282i | ||||
\(396\) | 1553.32 | + | 11961.5i | 0.197114 | + | 1.51789i | ||||
\(397\) | −1196.39 | + | 351.291i | −0.151247 | + | 0.0444100i | −0.356479 | − | 0.934303i | \(-0.616023\pi\) |
0.205233 | + | 0.978713i | \(0.434205\pi\) | |||||||
\(398\) | −3309.30 | − | 23016.7i | −0.416784 | − | 2.89880i | ||||
\(399\) | −181.299 | + | 1202.58i | −0.0227476 | + | 0.150888i | ||||
\(400\) | −215.766 | + | 249.007i | −0.0269707 | + | 0.0311259i | ||||
\(401\) | −2.64277 | −0.000329111 | −0.000164556 | − | 1.00000i | \(-0.500052\pi\) | ||||
−0.000164556 | 1.00000i | \(0.500052\pi\) | ||||||||
\(402\) | −11849.4 | − | 4263.31i | −1.47014 | − | 0.528942i | ||||
\(403\) | −10464.5 | −1.29348 | ||||||||
\(404\) | −4085.84 | + | 4715.31i | −0.503163 | + | 0.580682i | ||||
\(405\) | −7303.25 | − | 2363.00i | −0.896052 | − | 0.289922i | ||||
\(406\) | −223.542 | − | 1554.77i | −0.0273256 | − | 0.190054i | ||||
\(407\) | −23.7416 | + | 6.97115i | −0.00289146 | + | 0.000849011i | ||||
\(408\) | −214.396 | − | 250.869i | −0.0260152 | − | 0.0304408i | ||||
\(409\) | 7494.43 | + | 6493.96i | 0.906053 | + | 0.785100i | 0.977190 | − | 0.212367i | \(-0.0681172\pi\) |
−0.0711366 | + | 0.997467i | \(0.522663\pi\) | |||||||
\(410\) | −1664.53 | − | 1069.73i | −0.200501 | − | 0.128854i | ||||
\(411\) | 2208.87 | + | 7717.34i | 0.265098 | + | 0.926200i | ||||
\(412\) | 5466.64 | − | 11970.3i | 0.653695 | − | 1.43139i | ||||
\(413\) | −1943.03 | + | 570.526i | −0.231502 | + | 0.0679752i | ||||
\(414\) | −9713.12 | + | 14669.3i | −1.15308 | + | 1.74144i | ||||
\(415\) | 3029.29 | + | 4713.67i | 0.358318 | + | 0.557554i | ||||
\(416\) | 14565.5 | − | 2094.21i | 1.71667 | − | 0.246820i | ||||
\(417\) | −798.415 | − | 5835.82i | −0.0937615 | − | 0.685327i | ||||
\(418\) | −3933.82 | + | 1155.07i | −0.460310 | + | 0.135159i | ||||
\(419\) | −3701.69 | − | 532.223i | −0.431598 | − | 0.0620544i | −0.0769074 | − | 0.997038i | \(-0.524505\pi\) |
−0.354690 | + | 0.934984i | \(0.615414\pi\) | |||||||
\(420\) | −2599.79 | + | 5591.36i | −0.302040 | + | 0.649596i | ||||
\(421\) | −4995.45 | − | 5765.06i | −0.578298 | − | 0.667391i | 0.388940 | − | 0.921263i | \(-0.372841\pi\) |
−0.967238 | + | 0.253872i | \(0.918296\pi\) | |||||||
\(422\) | 1602.09 | + | 3508.09i | 0.184807 | + | 0.404671i | ||||
\(423\) | −13763.5 | + | 1787.33i | −1.58204 | + | 0.205444i | ||||
\(424\) | −2434.55 | + | 5330.91i | −0.278849 | + | 0.610594i | ||||
\(425\) | 52.3450 | − | 23.9052i | 0.00597437 | − | 0.00272840i | ||||
\(426\) | 15651.4 | − | 17815.3i | 1.78008 | − | 2.02618i | ||||
\(427\) | 4069.31 | − | 2615.19i | 0.461189 | − | 0.296388i | ||||
\(428\) | 8494.56 | + | 1221.33i | 0.959346 | + | 0.137933i | ||||
\(429\) | 8450.32 | + | 9887.87i | 0.951015 | + | 1.11280i | ||||
\(430\) | 4165.88 | − | 6482.23i | 0.467201 | − | 0.726979i | ||||
\(431\) | − | 1263.04i | − | 0.141156i | −0.997506 | − | 0.0705781i | \(-0.977516\pi\) | ||
0.997506 | − | 0.0705781i | \(-0.0224844\pi\) | |||||||
\(432\) | −3228.03 | − | 531.850i | −0.359511 | − | 0.0592330i | ||||
\(433\) | −5185.26 | + | 8068.43i | −0.575491 | + | 0.895482i | −0.999950 | − | 0.00996498i | \(-0.996828\pi\) |
0.424459 | + | 0.905447i | \(0.360464\pi\) | |||||||
\(434\) | 2907.15 | − | 6365.78i | 0.321539 | − | 0.704072i | ||||
\(435\) | 269.658 | + | 1971.00i | 0.0297221 | + | 0.217247i | ||||
\(436\) | −16478.2 | + | 14278.5i | −1.81001 | + | 1.56838i | ||||
\(437\) | −3211.32 | − | 1466.56i | −0.351530 | − | 0.160538i | ||||
\(438\) | −10780.9 | + | 4834.75i | −1.17610 | + | 0.527427i | ||||
\(439\) | 13898.9 | 1.51106 | 0.755531 | − | 0.655112i | \(-0.227379\pi\) | ||||
0.755531 | + | 0.655112i | \(0.227379\pi\) | |||||||
\(440\) | −6362.53 | −0.689367 | ||||||||
\(441\) | 1041.02 | − | 6599.15i | 0.112409 | − | 0.712574i | ||||
\(442\) | −1115.53 | − | 327.548i | −0.120046 | − | 0.0352486i | ||||
\(443\) | −630.797 | + | 4387.29i | −0.0676525 | + | 0.470534i | 0.927629 | + | 0.373503i | \(0.121843\pi\) |
−0.995281 | + | 0.0970304i | \(0.969066\pi\) | |||||||
\(444\) | −0.261303 | + | 38.2514i | −2.79299e−5 | + | 0.00408858i | ||||
\(445\) | −1898.30 | − | 272.934i | −0.202220 | − | 0.0290748i | ||||
\(446\) | 3758.29 | + | 8229.52i | 0.399014 | + | 0.873719i | ||||
\(447\) | −4712.33 | + | 2983.14i | −0.498625 | + | 0.315655i | ||||
\(448\) | −2258.73 | + | 7692.52i | −0.238203 | + | 0.811244i | ||||
\(449\) | 8660.45 | − | 3955.10i | 0.910272 | − | 0.415707i | 0.0954604 | − | 0.995433i | \(-0.469568\pi\) |
0.814812 | + | 0.579726i | \(0.196840\pi\) | |||||||
\(450\) | −721.224 | + | 1523.82i | −0.0755529 | + | 0.159630i | ||||
\(451\) | −234.500 | − | 1630.98i | −0.0244838 | − | 0.170288i | ||||
\(452\) | −681.626 | + | 4740.82i | −0.0709314 | + | 0.493339i | ||||
\(453\) | −3056.16 | + | 10151.3i | −0.316978 | + | 1.05287i | ||||
\(454\) | −2596.10 | + | 2249.53i | −0.268372 | + | 0.232546i | ||||
\(455\) | 946.292 | + | 6581.60i | 0.0975007 | + | 0.678132i | ||||
\(456\) | −13.2520 | + | 1939.93i | −0.00136093 | + | 0.199223i | ||||
\(457\) | 8218.06 | − | 5281.42i | 0.841191 | − | 0.540601i | −0.0476246 | − | 0.998865i | \(-0.515165\pi\) |
0.888816 | + | 0.458264i | \(0.151529\pi\) | |||||||
\(458\) | −4677.04 | − | 15928.5i | −0.477170 | − | 1.62509i | ||||
\(459\) | 474.249 | + | 318.700i | 0.0482267 | + | 0.0324088i | ||||
\(460\) | −13527.6 | − | 11721.7i | −1.37114 | − | 1.18810i | ||||
\(461\) | 1530.88 | − | 2382.10i | 0.154664 | − | 0.240663i | −0.755271 | − | 0.655413i | \(-0.772495\pi\) |
0.909935 | + | 0.414750i | \(0.136131\pi\) | |||||||
\(462\) | −8362.60 | + | 2393.55i | −0.842128 | + | 0.241035i | ||||
\(463\) | −5190.73 | + | 17678.0i | −0.521023 | + | 1.77444i | 0.104819 | + | 0.994491i | \(0.466574\pi\) |
−0.625842 | + | 0.779950i | \(0.715245\pi\) | |||||||
\(464\) | 238.874 | + | 813.530i | 0.0238997 | + | 0.0813948i | ||||
\(465\) | −3736.89 | + | 8036.91i | −0.372676 | + | 0.801511i | ||||
\(466\) | 9013.48 | + | 19736.8i | 0.896011 | + | 1.96199i | ||||
\(467\) | 10767.9 | + | 9330.45i | 1.06698 | + | 0.924543i | 0.997330 | − | 0.0730286i | \(-0.0232664\pi\) |
0.0696496 | + | 0.997572i | \(0.477812\pi\) | |||||||
\(468\) | 18403.0 | − | 8102.36i | 1.81769 | − | 0.800282i | ||||
\(469\) | 1042.71 | − | 5258.81i | 0.102661 | − | 0.517760i | ||||
\(470\) | − | 23918.8i | − | 2.34743i | ||||||
\(471\) | 660.134 | + | 2306.38i | 0.0645804 | + | 0.225631i | ||||
\(472\) | −2938.36 | + | 1341.90i | −0.286544 | + | 0.130860i | ||||
\(473\) | 6351.58 | − | 913.220i | 0.617434 | − | 0.0887735i | ||||
\(474\) | 4362.85 | + | 1313.49i | 0.422768 | + | 0.127279i | ||||
\(475\) | −324.588 | − | 95.3075i | −0.0313539 | − | 0.00920634i | ||||
\(476\) | 300.581 | − | 346.889i | 0.0289435 | − | 0.0334026i | ||||
\(477\) | 1581.19 | − | 10023.3i | 0.151777 | − | 0.962132i | ||||
\(478\) | −12838.0 | + | 14815.8i | −1.22844 | + | 1.41770i | ||||
\(479\) | 14225.9 | + | 6496.75i | 1.35699 | + | 0.619716i | 0.955185 | − | 0.296009i | \(-0.0956559\pi\) |
0.401805 | + | 0.915725i | \(0.368383\pi\) | |||||||
\(480\) | 3592.99 | − | 11934.4i | 0.341660 | − | 1.13485i | ||||
\(481\) | 22.3009 | + | 34.7009i | 0.00211400 | + | 0.00328945i | ||||
\(482\) | 1616.73 | − | 1039.01i | 0.152781 | − | 0.0981861i | ||||
\(483\) | −6791.77 | − | 3157.95i | −0.639827 | − | 0.297498i | ||||
\(484\) | −1287.71 | − | 1486.09i | −0.120934 | − | 0.139565i | ||||
\(485\) | −5441.96 | − | 18533.6i | −0.509498 | − | 1.73519i | ||||
\(486\) | −16640.9 | + | 1815.09i | −1.55319 | + | 0.169412i | ||||
\(487\) | 11272.9 | − | 1620.79i | 1.04892 | − | 0.150811i | 0.403762 | − | 0.914864i | \(-0.367703\pi\) |
0.645153 | + | 0.764053i | \(0.276793\pi\) | |||||||
\(488\) | 5831.40 | − | 5052.94i | 0.540932 | − | 0.468721i | ||||
\(489\) | −1542.47 | − | 232.539i | −0.142644 | − | 0.0215047i | ||||
\(490\) | 11047.1 | + | 3243.72i | 1.01848 | + | 0.299054i | ||||
\(491\) | 8130.85 | + | 3713.24i | 0.747333 | + | 0.341295i | 0.752413 | − | 0.658692i | \(-0.228890\pi\) |
−0.00508033 | + | 0.999987i | \(0.501617\pi\) | |||||||
\(492\) | −2518.85 | − | 379.736i | −0.230810 | − | 0.0347964i | ||||
\(493\) | 21.0745 | − | 146.577i | 0.00192525 | − | 0.0133904i | ||||
\(494\) | 3695.11 | + | 5749.71i | 0.336541 | + | 0.523667i | ||||
\(495\) | 10611.7 | − | 2959.01i | 0.963554 | − | 0.268682i | ||||
\(496\) | −1064.25 | + | 3624.52i | −0.0963436 | + | 0.328116i | ||||
\(497\) | 8493.00 | + | 5458.12i | 0.766526 | + | 0.492616i | ||||
\(498\) | 10234.1 | + | 6676.26i | 0.920883 | + | 0.600744i | ||||
\(499\) | − | 17452.7i | − | 1.56571i | −0.622204 | − | 0.782855i | \(-0.713762\pi\) | ||
0.622204 | − | 0.782855i | \(-0.286238\pi\) | |||||||
\(500\) | −14208.0 | − | 9130.95i | −1.27080 | − | 0.816697i | ||||
\(501\) | 11586.1 | − | 7334.57i | 1.03319 | − | 0.654061i | ||||
\(502\) | −14805.7 | − | 17086.7i | −1.31636 | − | 1.51916i | ||||
\(503\) | 380.836 | + | 439.508i | 0.0337587 | + | 0.0389596i | 0.772378 | − | 0.635163i | \(-0.219067\pi\) |
−0.738619 | + | 0.674123i | \(0.764522\pi\) | |||||||
\(504\) | −56.2300 | + | 4115.49i | −0.00496961 | + | 0.363727i | ||||
\(505\) | 4793.88 | + | 3080.84i | 0.422426 | + | 0.271476i | ||||
\(506\) | − | 25250.1i | − | 2.21838i | ||||||
\(507\) | 5609.61 | − | 8599.00i | 0.491384 | − | 0.753245i | ||||
\(508\) | −16704.2 | − | 10735.2i | −1.45892 | − | 0.937589i | ||||
\(509\) | 4616.90 | − | 15723.7i | 0.402044 | − | 1.36924i | −0.471231 | − | 0.882010i | \(-0.656190\pi\) |
0.873275 | − | 0.487227i | \(-0.161992\pi\) | |||||||
\(510\) | −649.920 | + | 739.776i | −0.0564293 | + | 0.0642310i | ||||
\(511\) | −2719.48 | − | 4231.60i | −0.235426 | − | 0.366331i | ||||
\(512\) | 1169.98 | − | 8137.36i | 0.100989 | − | 0.702391i | ||||
\(513\) | −880.098 | − | 3241.65i | −0.0757451 | − | 0.278991i | ||||
\(514\) | 27521.8 | + | 12568.8i | 2.36174 | + | 1.07857i | ||||
\(515\) | −11532.1 | − | 3386.13i | −0.986729 | − | 0.289730i | ||||
\(516\) | 1478.82 | − | 9809.23i | 0.126165 | − | 0.836874i | ||||
\(517\) | 15053.8 | − | 13044.2i | 1.28059 | − | 1.10964i | ||||
\(518\) | −27.3047 | + | 3.92583i | −0.00231603 | + | 0.000332994i | ||||
\(519\) | −9639.13 | + | 10971.8i | −0.815242 | + | 0.927955i | ||||
\(520\) | 2988.22 | + | 10176.9i | 0.252004 | + | 0.858247i | ||||
\(521\) | 275.429 | + | 317.862i | 0.0231607 | + | 0.0267289i | 0.767212 | − | 0.641394i | \(-0.221644\pi\) |
−0.744051 | + | 0.668123i | \(0.767098\pi\) | |||||||
\(522\) | 2295.41 | + | 3681.35i | 0.192466 | + | 0.308675i | ||||
\(523\) | −11217.6 | + | 7209.13i | −0.937882 | + | 0.602740i | −0.917794 | − | 0.397058i | \(-0.870031\pi\) |
−0.0200885 | + | 0.999798i | \(0.506395\pi\) | |||||||
\(524\) | −11273.7 | − | 17542.2i | −0.939871 | − | 1.46247i | ||||
\(525\) | −687.252 | − | 206.905i | −0.0571317 | − | 0.0172002i | ||||
\(526\) | −17776.4 | − | 8118.22i | −1.47355 | − | 0.672949i | ||||
\(527\) | 432.049 | − | 498.612i | 0.0357123 | − | 0.0412142i | ||||
\(528\) | 4284.20 | − | 1921.27i | 0.353117 | − | 0.158357i | ||||
\(529\) | 6270.56 | − | 7236.61i | 0.515375 | − | 0.594774i | ||||
\(530\) | 16779.3 | + | 4926.83i | 1.37518 | + | 0.403789i | ||||
\(531\) | 4276.63 | − | 3604.62i | 0.349511 | − | 0.294590i | ||||
\(532\) | −2670.85 | + | 384.011i | −0.217662 | + | 0.0312951i | ||||
\(533\) | −2498.64 | + | 1141.09i | −0.203055 | + | 0.0927321i | ||||
\(534\) | −4020.86 | + | 1150.86i | −0.325842 | + | 0.0932630i | ||||
\(535\) | − | 7838.13i | − | 0.633405i | ||||||
\(536\) | 452.525 | − | 8539.90i | 0.0364666 | − | 0.688186i | ||||
\(537\) | 510.321 | − | 782.274i | 0.0410093 | − | 0.0628633i | ||||
\(538\) | 7359.30 | + | 6376.87i | 0.589743 | + | 0.511015i | ||||
\(539\) | 3983.05 | + | 8721.66i | 0.318297 | + | 0.696973i | ||||
\(540\) | 348.991 | − | 17027.2i | 0.0278114 | − | 1.35691i | ||||
\(541\) | 4124.69 | + | 14047.4i | 0.327790 | + | 1.11635i | 0.944323 | + | 0.329021i | \(0.106719\pi\) |
−0.616533 | + | 0.787329i | \(0.711463\pi\) | |||||||
\(542\) | −9050.71 | + | 30823.9i | −0.717272 | + | 2.44280i | ||||
\(543\) | −3436.22 | − | 12005.5i | −0.271570 | − | 0.948811i | ||||
\(544\) | −501.585 | + | 780.481i | −0.0395317 | + | 0.0615126i | ||||
\(545\) | 15050.1 | + | 13041.0i | 1.18289 | + | 1.02498i | ||||
\(546\) | 7756.09 | + | 12251.9i | 0.607930 | + | 0.960319i | ||||
\(547\) | −937.830 | − | 3193.95i | −0.0733066 | − | 0.249659i | 0.914685 | − | 0.404168i | \(-0.132439\pi\) |
−0.987991 | + | 0.154508i | \(0.950621\pi\) | |||||||
\(548\) | −14982.7 | + | 9628.80i | −1.16794 | + | 0.750588i | ||||
\(549\) | −7375.88 | + | 11139.5i | −0.573397 | + | 0.865978i | ||||
\(550\) | −344.337 | − | 2394.92i | −0.0266956 | − | 0.185672i | ||||
\(551\) | −657.910 | + | 570.082i | −0.0508673 | + | 0.0440768i | ||||
\(552\) | −11440.5 | − | 3444.29i | −0.882138 | − | 0.265578i | ||||
\(553\) | −276.052 | + | 1919.98i | −0.0212277 | + | 0.147642i | ||||
\(554\) | 2019.74 | + | 14047.6i | 0.154893 | + | 1.07730i | ||||
\(555\) | 34.6146 | − | 4.73571i | 0.00264740 | − | 0.000362198i | ||||
\(556\) | 11887.6 | − | 5428.87i | 0.906736 | − | 0.414092i | ||||
\(557\) | −6187.97 | + | 21074.3i | −0.470723 | + | 1.60314i | 0.292005 | + | 0.956417i | \(0.405678\pi\) |
−0.762728 | + | 0.646719i | \(0.776140\pi\) | |||||||
\(558\) | −264.063 | + | 19326.8i | −0.0200334 | + | 1.46625i | ||||
\(559\) | −4443.79 | − | 9730.54i | −0.336229 | − | 0.736239i | ||||
\(560\) | 2375.86 | + | 341.598i | 0.179283 | + | 0.0257770i | ||||
\(561\) | −820.026 | − | 5.60175i | −0.0617140 | − | 0.000421580i | ||||
\(562\) | −204.819 | + | 1424.54i | −0.0153732 | + | 0.106923i | ||||
\(563\) | 18629.7 | + | 5470.16i | 1.39458 | + | 0.409485i | 0.890818 | − | 0.454360i | \(-0.150132\pi\) |
0.503758 | + | 0.863845i | \(0.331950\pi\) | |||||||
\(564\) | −12600.4 | − | 28097.4i | −0.940730 | − | 2.09772i | ||||
\(565\) | 4374.46 | 0.325726 | ||||||||
\(566\) | −26895.7 | −1.99737 | ||||||||
\(567\) | −1820.20 | − | 6890.13i | −0.134817 | − | 0.510332i | ||||
\(568\) | 14648.8 | + | 6689.86i | 1.08213 | + | 0.494191i | ||||
\(569\) | −10224.8 | + | 8859.85i | −0.753333 | + | 0.652767i | −0.944396 | − | 0.328811i | \(-0.893352\pi\) |
0.191063 | + | 0.981578i | \(0.438807\pi\) | |||||||
\(570\) | 5735.41 | − | 784.677i | 0.421456 | − | 0.0576605i | ||||
\(571\) | 7223.55 | − | 15817.4i | 0.529415 | − | 1.15926i | −0.436335 | − | 0.899784i | \(-0.643724\pi\) |
0.965750 | − | 0.259474i | \(-0.0835491\pi\) | |||||||
\(572\) | −15601.9 | + | 24277.1i | −1.14047 | + | 1.77461i | ||||
\(573\) | 14399.0 | − | 22072.3i | 1.04978 | − | 1.60922i | ||||
\(574\) | − | 1836.99i | − | 0.133579i | ||||||
\(575\) | 1126.39 | − | 1752.69i | 0.0816933 | − | 0.127117i | ||||
\(576\) | −2851.58 | − | 21958.9i | −0.206278 | − | 1.58846i | ||||
\(577\) | −14487.3 | − | 2082.95i | −1.04526 | − | 0.150285i | −0.401768 | − | 0.915742i | \(-0.631604\pi\) |
−0.643487 | + | 0.765457i | \(0.722513\pi\) | |||||||
\(578\) | −18202.9 | + | 11698.3i | −1.30993 | + | 0.841844i | ||||
\(579\) | −391.896 | − | 344.295i | −0.0281289 | − | 0.0247123i | ||||
\(580\) | −4014.92 | + | 1833.55i | −0.287432 | + | 0.131266i | ||||
\(581\) | −2161.00 | + | 4731.93i | −0.154309 | + | 0.337889i | ||||
\(582\) | −27367.2 | − | 32022.8i | −1.94915 | − | 2.28074i | ||||
\(583\) | 6049.79 | + | 13247.2i | 0.429771 | + | 0.941068i | ||||
\(584\) | −5254.45 | − | 6063.96i | −0.372313 | − | 0.429672i | ||||
\(585\) | −9716.85 | − | 15583.8i | −0.686739 | − | 1.10138i | ||||
\(586\) | 23086.7 | + | 3319.37i | 1.62748 | + | 0.233996i | ||||
\(587\) | −571.723 | + | 167.873i | −0.0402002 | + | 0.0118038i | −0.301771 | − | 0.953380i | \(-0.597578\pi\) |
0.261571 | + | 0.965184i | \(0.415760\pi\) | |||||||
\(588\) | 14685.8 | − | 2009.20i | 1.02998 | − | 0.140915i | ||||
\(589\) | −3839.03 | + | 551.970i | −0.268565 | + | 0.0386138i | ||||
\(590\) | 5211.26 | + | 8108.88i | 0.363634 | + | 0.565826i | ||||
\(591\) | 128.031 | − | 18742.1i | 0.00891112 | − | 1.30448i | ||||
\(592\) | 14.2871 | − | 4.19508i | 0.000991888 | − | 0.000291245i | ||||
\(593\) | −6920.52 | + | 15153.8i | −0.479244 | + | 1.04940i | 0.503427 | + | 0.864038i | \(0.332072\pi\) |
−0.982671 | + | 0.185360i | \(0.940655\pi\) | |||||||
\(594\) | 18475.1 | − | 15357.3i | 1.27616 | − | 1.06081i | ||||
\(595\) | −352.669 | − | 226.647i | −0.0242992 | − | 0.0156162i | ||||
\(596\) | −9351.73 | − | 8103.32i | −0.642721 | − | 0.556921i | ||||
\(597\) | −20785.6 | + | 17763.7i | −1.42495 | + | 1.21779i | ||||
\(598\) | −40387.8 | + | 11858.9i | −2.76184 | + | 0.810949i | ||||
\(599\) | 1456.12 | + | 10127.5i | 0.0993245 | + | 0.690817i | 0.977261 | + | 0.212040i | \(0.0680107\pi\) |
−0.877937 | + | 0.478777i | \(0.841080\pi\) | |||||||
\(600\) | −1132.08 | − | 170.670i | −0.0770283 | − | 0.0116126i | ||||
\(601\) | −2506.06 | + | 2892.15i | −0.170090 | + | 0.196295i | −0.834395 | − | 0.551168i | \(-0.814182\pi\) |
0.664304 | + | 0.747462i | \(0.268728\pi\) | |||||||
\(602\) | 7153.83 | 0.484333 | ||||||||
\(603\) | 3216.90 | + | 14453.6i | 0.217251 | + | 0.976116i | ||||
\(604\) | −23521.2 | −1.58454 | ||||||||
\(605\) | −1176.10 | + | 1357.29i | −0.0790337 | + | 0.0912097i | ||||
\(606\) | 12288.3 | + | 1852.55i | 0.823724 | + | 0.124183i | ||||
\(607\) | 3102.95 | + | 21581.5i | 0.207487 | + | 1.44311i | 0.781318 | + | 0.624133i | \(0.214547\pi\) |
−0.573831 | + | 0.818974i | \(0.694543\pi\) | |||||||
\(608\) | 5233.09 | − | 1536.57i | 0.349062 | − | 0.102494i | ||||
\(609\) | −1404.06 | + | 1199.93i | −0.0934242 | + | 0.0798417i | ||||
\(610\) | −17400.7 | − | 15077.8i | −1.15498 | − | 1.00079i | ||||
\(611\) | −27934.5 | − | 17952.4i | −1.84960 | − | 1.18867i | ||||
\(612\) | −373.746 | + | 1211.39i | −0.0246859 | + | 0.0800121i | ||||
\(613\) | −9871.77 | + | 21616.2i | −0.650435 | + | 1.42425i | 0.240737 | + | 0.970590i | \(0.422611\pi\) |
−0.891173 | + | 0.453664i | \(0.850116\pi\) | |||||||
\(614\) | −28777.8 | + | 8449.94i | −1.89150 | + | 0.555394i | ||||
\(615\) | −15.8927 | + | 2326.49i | −0.00104204 | + | 0.152541i | ||||
\(616\) | −3193.59 | − | 4969.32i | −0.208885 | − | 0.325032i | ||||
\(617\) | 12956.3 | − | 1862.84i | 0.845386 | − | 0.121548i | 0.294007 | − | 0.955803i | \(-0.405011\pi\) |
0.551379 | + | 0.834255i | \(0.314102\pi\) | |||||||
\(618\) | −25968.7 | + | 3552.85i | −1.69031 | + | 0.231257i | ||||
\(619\) | 13763.6 | − | 4041.35i | 0.893707 | − | 0.262416i | 0.197539 | − | 0.980295i | \(-0.436705\pi\) |
0.696168 | + | 0.717879i | \(0.254887\pi\) | |||||||
\(620\) | −19464.6 | − | 2798.59i | −1.26083 | − | 0.181280i | ||||
\(621\) | 20682.8 | + | 423.916i | 1.33651 | + | 0.0273932i | ||||
\(622\) | 14500.3 | + | 16734.3i | 0.934743 | + | 1.07875i | ||||
\(623\) | −739.656 | − | 1619.62i | −0.0475661 | − | 0.104155i | ||||
\(624\) | −5085.21 | − | 5950.30i | −0.326236 | − | 0.381735i | ||||
\(625\) | −5674.23 | + | 12424.8i | −0.363151 | + | 0.795189i | ||||
\(626\) | 18717.4 | − | 8547.94i | 1.19504 | − | 0.545758i | ||||
\(627\) | 3621.66 | + | 3181.76i | 0.230678 | + | 0.202659i | ||||
\(628\) | −4477.68 | + | 2877.63i | −0.284521 | + | 0.182850i | ||||
\(629\) | −2.57417 | − | 0.370109i | −0.000163178 | − | 2.34614e-5i | ||||
\(630\) | 12179.4 | − | 1581.62i | 0.770220 | − | 0.100021i | ||||
\(631\) | 7124.07 | − | 11085.3i | 0.449453 | − | 0.699362i | −0.540408 | − | 0.841403i | \(-0.681730\pi\) |
0.989861 | + | 0.142041i | \(0.0453664\pi\) | |||||||
\(632\) | 3094.15i | 0.194745i | ||||||||
\(633\) | 2477.65 | − | 3798.01i | 0.155573 | − | 0.238479i | ||||
\(634\) | 4215.73 | − | 6559.81i | 0.264082 | − | 0.410920i | ||||
\(635\) | −7533.73 | + | 16496.6i | −0.470814 | + | 1.03094i | ||||
\(636\) | 22306.0 | − | 3051.74i | 1.39071 | − | 0.190266i | ||||
\(637\) | 12079.7 | − | 10467.1i | 0.751360 | − | 0.651057i | ||||
\(638\) | −5663.67 | − | 2586.51i | −0.351453 | − | 0.160503i | ||||
\(639\) | −27543.0 | − | 4344.94i | −1.70514 | − | 0.268988i | ||||
\(640\) | 18972.4 | 1.17179 | ||||||||
\(641\) | −1763.26 | −0.108650 | −0.0543251 | − | 0.998523i | \(-0.517301\pi\) | ||||
−0.0543251 | + | 0.998523i | \(0.517301\pi\) | |||||||
\(642\) | −6994.38 | − | 15596.6i | −0.429979 | − | 0.958801i | ||||
\(643\) | −5693.04 | − | 1671.63i | −0.349163 | − | 0.102523i | 0.102448 | − | 0.994738i | \(-0.467332\pi\) |
−0.451611 | + | 0.892215i | \(0.649151\pi\) | |||||||
\(644\) | 2365.01 | − | 16449.0i | 0.144712 | − | 1.00649i | ||||
\(645\) | −9060.10 | − | 61.8913i | −0.553087 | − | 0.00377824i | ||||
\(646\) | −426.523 | − | 61.3247i | −0.0259773 | − | 0.00373497i | ||||
\(647\) | 6881.94 | + | 15069.4i | 0.418172 | + | 0.915668i | 0.995100 | + | 0.0988735i | \(0.0315239\pi\) |
−0.576928 | + | 0.816795i | \(0.695749\pi\) | |||||||
\(648\) | −4438.09 | − | 10465.7i | −0.269050 | − | 0.634462i | ||||
\(649\) | −2261.51 | + | 7701.99i | −0.136783 | + | 0.465839i | ||||
\(650\) | −3668.98 | + | 1675.57i | −0.221399 | + | 0.101110i | ||||
\(651\) | −8152.75 | + | 1115.40i | −0.490832 | + | 0.0671520i | ||||
\(652\) | −492.545 | − | 3425.72i | −0.0295852 | − | 0.205769i | ||||
\(653\) | 1676.35 | − | 11659.3i | 0.100461 | − | 0.698719i | −0.875888 | − | 0.482515i | \(-0.839723\pi\) |
0.976348 | − | 0.216204i | \(-0.0693676\pi\) | |||||||
\(654\) | 41584.4 | + | 12519.5i | 2.48636 | + | 0.748547i | ||||
\(655\) | −14393.4 | + | 12471.9i | −0.858619 | + | 0.743997i | ||||
\(656\) | 141.117 | + | 981.489i | 0.00839891 | + | 0.0584157i | ||||
\(657\) | 11583.7 | + | 7670.03i | 0.687861 | + | 0.455459i | ||||
\(658\) | 18681.3 | − | 12005.8i | 1.10680 | − | 0.711297i | ||||
\(659\) | −2583.42 | − | 8798.33i | −0.152710 | − | 0.520083i | 0.847228 | − | 0.531230i | \(-0.178270\pi\) |
−0.999938 | + | 0.0111471i | \(0.996452\pi\) | |||||||
\(660\) | 13073.7 | + | 20651.9i | 0.771052 | + | 1.21799i | ||||
\(661\) | −23882.4 | − | 20694.2i | −1.40532 | − | 1.21772i | −0.943770 | − | 0.330604i | \(-0.892748\pi\) |
−0.461551 | − | 0.887114i | \(-0.652707\pi\) | |||||||
\(662\) | −9785.05 | + | 15225.8i | −0.574482 | + | 0.893911i | ||||
\(663\) | 376.173 | + | 1314.27i | 0.0220352 | + | 0.0769866i | ||||
\(664\) | −2337.82 | + | 7961.88i | −0.136634 | + | 0.465332i | ||||
\(665\) | 694.318 | + | 2364.63i | 0.0404880 | + | 0.137889i | ||||
\(666\) | 64.6516 | − | 40.3117i | 0.00376156 | − | 0.00234542i | ||||
\(667\) | −2227.20 | − | 4876.89i | −0.129292 | − | 0.283110i | ||||
\(668\) | 22992.9 | + | 19923.4i | 1.33177 | + | 1.15398i | ||||
\(669\) | 5812.25 | − | 8909.64i | 0.335896 | − | 0.514897i | ||||
\(670\) | −25415.6 | + | 2290.01i | −1.46551 | + | 0.132046i | ||||
\(671\) | − | 19174.2i | − | 1.10315i | ||||||
\(672\) | 11124.6 | − | 3184.09i | 0.638602 | − | 0.182781i | ||||
\(673\) | 19941.9 | − | 9107.15i | 1.14220 | − | 0.521627i | 0.247766 | − | 0.968820i | \(-0.420303\pi\) |
0.894438 | + | 0.447193i | \(0.147576\pi\) | |||||||
\(674\) | −17028.4 | + | 2448.32i | −0.973161 | + | 0.139919i | ||||
\(675\) | 1967.50 | − | 241.845i | 0.112191 | − | 0.0137905i | ||||
\(676\) | 21856.6 | + | 6417.67i | 1.24355 | + | 0.365138i | ||||
\(677\) | 3625.57 | − | 4184.13i | 0.205823 | − | 0.237532i | −0.643448 | − | 0.765490i | \(-0.722497\pi\) |
0.849271 | + | 0.527958i | \(0.177042\pi\) | |||||||
\(678\) | 8704.49 | − | 3903.57i | 0.493059 | − | 0.221114i | ||||
\(679\) | 11743.8 | − | 13553.1i | 0.663748 | − | 0.766007i | ||||
\(680\) | −608.285 | − | 277.795i | −0.0343039 | − | 0.0156661i | ||||
\(681\) | 3867.66 | + | 1164.40i | 0.217634 | + | 0.0655213i | ||||
\(682\) | −14997.5 | − | 23336.5i | −0.842056 | − | 1.31027i | ||||
\(683\) | 3671.73 | − | 2359.68i | 0.205703 | − | 0.132197i | −0.433734 | − | 0.901041i | \(-0.642804\pi\) |
0.639436 | + | 0.768844i | \(0.279168\pi\) | |||||||
\(684\) | 6323.99 | − | 3943.15i | 0.353514 | − | 0.220424i | ||||
\(685\) | 10652.2 | + | 12293.3i | 0.594162 | + | 0.685699i | ||||
\(686\) | 7186.12 | + | 24473.7i | 0.399953 | + | 1.36211i | ||||
\(687\) | −12883.3 | + | 14664.6i | −0.715474 | + | 0.814393i | ||||
\(688\) | −3822.24 | + | 549.555i | −0.211804 | + | 0.0304529i | ||||
\(689\) | 18347.7 | − | 15898.4i | 1.01450 | − | 0.879071i | ||||
\(690\) | −5314.71 | + | 35253.3i | −0.293228 | + | 1.94503i | ||||
\(691\) | 13925.2 | + | 4088.82i | 0.766629 | + | 0.225103i | 0.641589 | − | 0.767049i | \(-0.278276\pi\) |
0.125041 | + | 0.992152i | \(0.460094\pi\) | |||||||
\(692\) | −29474.9 | − | 13460.7i | −1.61917 | − | 0.739451i | ||||
\(693\) | 7637.47 | + | 6802.80i | 0.418649 | + | 0.372896i | ||||
\(694\) | −657.593 | + | 4573.66i | −0.0359682 | + | 0.250164i | ||||
\(695\) | −6453.04 | − | 10041.1i | −0.352198 | − | 0.548031i | ||||
\(696\) | −1944.48 | + | 2213.32i | −0.105899 | + | 0.120540i | ||||
\(697\) | 48.7912 | − | 166.168i | 0.00265151 | − | 0.00903020i | ||||
\(698\) | 35397.9 | + | 22748.8i | 1.91953 | + | 1.23360i | ||||
\(699\) | 13939.5 | − | 21367.9i | 0.754276 | − | 1.15623i | ||||
\(700\) | − | 1592.41i | − | 0.0859819i | ||||||
\(701\) | 24548.3 | + | 15776.2i | 1.32265 | + | 0.850015i | 0.995482 | − | 0.0949512i | \(-0.0302695\pi\) |
0.327168 | + | 0.944966i | \(0.393906\pi\) | |||||||
\(702\) | −33241.2 | − | 22338.4i | −1.78719 | − | 1.20101i | ||||
\(703\) | 10.0117 | + | 11.5542i | 0.000537126 | + | 0.000619877i | ||||
\(704\) | 20811.3 | + | 24017.5i | 1.11414 | + | 1.28579i | ||||
\(705\) | −23763.2 | + | 15043.3i | −1.26947 | + | 0.803636i | ||||
\(706\) | 11108.5 | + | 7139.00i | 0.592173 | + | 0.380566i | ||||
\(707\) | 5290.55i | 0.281431i | ||||||||
\(708\) | 10393.4 | + | 6780.19i | 0.551705 | + | 0.359908i | ||||
\(709\) | −16312.4 | − | 10483.3i | −0.864068 | − | 0.555303i | 0.0318650 | − | 0.999492i | \(-0.489855\pi\) |
−0.895933 | + | 0.444189i | \(0.853492\pi\) | |||||||
\(710\) | 13538.4 | − | 46107.5i | 0.715615 | − | 2.43716i | ||||
\(711\) | −1438.99 | − | 5160.55i | −0.0759021 | − | 0.272202i | ||||
\(712\) | −1535.53 | − | 2389.33i | −0.0808235 | − | 0.125764i | ||||
\(713\) | 3399.42 | − | 23643.5i | 0.178554 | − | 1.24187i | ||||
\(714\) | −904.006 | − | 136.286i | −0.0473831 | − | 0.00714337i | ||||
\(715\) | 23975.3 | + | 10949.1i | 1.25402 | + | 0.572692i | ||||
\(716\) | 1988.35 | + | 583.832i | 0.103782 | + | 0.0304732i | ||||
\(717\) | 22793.6 | + | 3436.31i | 1.18723 | + | 0.178984i | ||||
\(718\) | 33285.2 | − | 28841.8i | 1.73007 | − | 1.49912i | ||||
\(719\) | 30833.8 | − | 4433.23i | 1.59931 | − | 0.229946i | 0.715783 | − | 0.698323i | \(-0.246070\pi\) |
0.883529 | + | 0.468377i | \(0.155161\pi\) | |||||||
\(720\) | −6385.87 | + | 1780.67i | −0.330538 | + | 0.0921687i | ||||
\(721\) | −3143.73 | − | 10706.5i | −0.162383 | − | 0.553027i | ||||
\(722\) | −18190.5 | − | 20992.9i | −0.937644 | − | 1.08210i | ||||
\(723\) | −2049.06 | − | 952.746i | −0.105402 | − | 0.0490083i | ||||
\(724\) | 23307.9 | − | 14979.0i | 1.19645 | − | 0.768912i | ||||
\(725\) | −277.753 | − | 432.192i | −0.0142282 | − | 0.0221396i | ||||
\(726\) | −1129.07 | + | 3750.30i | −0.0577187 | + | 0.191717i | ||||
\(727\) | 7277.27 | + | 3323.42i | 0.371250 | + | 0.169544i | 0.592299 | − | 0.805719i | \(-0.298221\pi\) |
−0.221048 | + | 0.975263i | \(0.570948\pi\) | |||||||
\(728\) | −6448.60 | + | 7442.08i | −0.328298 | + | 0.378876i | ||||
\(729\) | 12269.3 | + | 15391.1i | 0.623344 | + | 0.781948i | ||||
\(730\) | −15679.1 | + | 18094.7i | −0.794947 | + | 0.917417i | ||||
\(731\) | 647.111 | + | 190.009i | 0.0327418 | + | 0.00961387i | ||||
\(732\) | −28383.6 | − | 8545.20i | −1.43318 | − | 0.431475i | ||||
\(733\) | −5194.47 | + | 746.851i | −0.261749 | + | 0.0376338i | −0.271940 | − | 0.962314i | \(-0.587665\pi\) |
0.0101909 | + | 0.999948i | \(0.496756\pi\) | |||||||
\(734\) | −53417.7 | + | 24395.0i | −2.68622 | + | 1.22675i | ||||
\(735\) | −3725.25 | − | 13015.3i | −0.186949 | − | 0.653164i | ||||
\(736\) | 33589.6i | 1.68224i | ||||||||
\(737\) | −15301.7 | − | 14747.0i | −0.764784 | − | 0.737057i | ||||
\(738\) | 2044.42 | + | 4643.52i | 0.101973 | + | 0.231613i | ||||
\(739\) | 10620.1 | + | 9202.37i | 0.528642 | + | 0.458071i | 0.877824 | − | 0.478984i | \(-0.158995\pi\) |
−0.349181 | + | 0.937055i | \(0.613540\pi\) | |||||||
\(740\) | 32.2007 | + | 70.5098i | 0.00159963 | + | 0.00350269i | ||||
\(741\) | 3388.32 | − | 7287.24i | 0.167980 | − | 0.361273i | ||||
\(742\) | 4574.13 | + | 15578.1i | 0.226309 | + | 0.770739i | ||||
\(743\) | 5307.09 | − | 18074.3i | 0.262043 | − | 0.892437i | −0.718399 | − | 0.695631i | \(-0.755125\pi\) |
0.980442 | − | 0.196806i | \(-0.0630570\pi\) | |||||||
\(744\) | −12619.3 | + | 3611.90i | −0.621834 | + | 0.177982i | ||||
\(745\) | −6110.14 | + | 9507.56i | −0.300481 | + | 0.467557i | ||||
\(746\) | 21332.9 | + | 18485.1i | 1.04699 | + | 0.907221i | ||||
\(747\) | 196.288 | − | 14366.4i | 0.00961420 | − | 0.703666i | ||||
\(748\) | −512.593 | − | 1745.73i | −0.0250565 | − | 0.0853346i | ||||
\(749\) | 6121.81 | − | 3934.25i | 0.298646 | − | 0.191928i | ||||
\(750\) | −229.790 | + | 33638.4i | −0.0111877 | + | 1.63773i | ||||
\(751\) | −3579.83 | − | 24898.3i | −0.173941 | − | 1.20979i | −0.870456 | − | 0.492246i | \(-0.836176\pi\) |
0.696515 | − | 0.717543i | \(-0.254733\pi\) | |||||||
\(752\) | −9059.02 | + | 7849.68i | −0.439293 | + | 0.380650i | ||||
\(753\) | −7663.73 | + | 25455.7i | −0.370892 | + | 1.23195i | ||||
\(754\) | −1477.16 | + | 10273.9i | −0.0713463 | + | 0.496224i | ||||
\(755\) | 3057.30 | + | 21264.0i | 0.147373 | + | 1.02500i | ||||
\(756\) | 13473.9 | − | 8274.00i | 0.648202 | − | 0.398046i | ||||
\(757\) | 15117.9 | − | 6904.12i | 0.725852 | − | 0.331485i | −0.0179929 | − | 0.999838i | \(-0.505728\pi\) |
0.743844 | + | 0.668353i | \(0.233000\pi\) | |||||||
\(758\) | 15069.3 | − | 51321.5i | 0.722089 | − | 2.45921i | ||||
\(759\) | −25085.7 | + | 15880.5i | −1.19968 | + | 0.759456i | ||||
\(760\) | 1633.07 | + | 3575.92i | 0.0779442 | + | 0.170674i | ||||
\(761\) | −11655.0 | − | 1675.74i | −0.555184 | − | 0.0798234i | −0.140988 | − | 0.990011i | \(-0.545028\pi\) |
−0.414196 | + | 0.910188i | \(0.635937\pi\) | |||||||
\(762\) | −270.162 | + | 39548.3i | −0.0128437 | + | 1.88016i | ||||
\(763\) | −2631.19 | + | 18300.3i | −0.124843 | + | 0.868303i | ||||
\(764\) | 56102.3 | + | 16473.1i | 2.65669 | + | 0.780074i | ||||
\(765\) | 1143.72 | + | 180.423i | 0.0540538 | + | 0.00852705i | ||||
\(766\) | −57581.5 | −2.71606 | ||||||||
\(767\) | 13381.6 | 0.629962 | ||||||||
\(768\) | 6645.01 | − | 2979.99i | 0.312215 | − | 0.140014i | ||||
\(769\) | −17778.7 | − | 8119.26i | −0.833702 | − | 0.380739i | −0.0476231 | − | 0.998865i | \(-0.515165\pi\) |
−0.786079 | + | 0.618127i | \(0.787892\pi\) | |||||||
\(770\) | −13321.2 | + | 11542.9i | −0.623458 | + | 0.540229i | ||||
\(771\) | −4822.32 | − | 35247.6i | −0.225255 | − | 1.64645i | ||||
\(772\) | 480.797 | − | 1052.80i | 0.0224148 | − | 0.0490816i | ||||
\(773\) | 5640.51 | − | 8776.81i | 0.262452 | − | 0.408383i | −0.684871 | − | 0.728665i | \(-0.740141\pi\) |
0.947322 | + | 0.320282i | \(0.103778\pi\) | |||||||
\(774\) | −18083.4 | + | 7961.66i | −0.839786 | + | 0.369736i | ||||
\(775\) | − | 2288.90i | − | 0.106090i | ||||||
\(776\) | 15465.7 | − | 24065.1i | 0.715445 | − | 1.11325i | ||||
\(777\) | 21.0731 | + | 24.6580i | 0.000972963 | + | 0.00113848i | ||||
\(778\) | −15943.8 | − | 2292.37i | −0.734719 | − | 0.105637i | ||||
\(779\) | −856.470 | + | 550.420i | −0.0393918 | + | 0.0253156i | ||||
\(780\) | 26892.9 | − | 30611.0i | 1.23451 | − | 1.40519i | ||||
\(781\) | 36401.8 | − | 16624.2i | 1.66781 | − | 0.761663i | ||||
\(782\) | 1102.44 | − | 2414.02i | 0.0504135 | − | 0.110390i | ||||
\(783\) | 2213.74 | − | 4595.78i | 0.101038 | − | 0.209757i | ||||
\(784\) | −2396.91 | − | 5248.50i | −0.109189 | − | 0.239090i | ||||
\(785\) | 3183.49 | + | 3673.95i | 0.144744 | + | 0.167043i | ||||
\(786\) | −17511.2 | + | 37661.1i | −0.794660 | + | 1.70907i | ||||
\(787\) | −26506.5 | − | 3811.07i | −1.20058 | − | 0.172617i | −0.487134 | − | 0.873327i | \(-0.661958\pi\) |
−0.713446 | + | 0.700710i | \(0.752867\pi\) | |||||||
\(788\) | 39899.5 | − | 11715.5i | 1.80376 | − | 0.529631i | ||||
\(789\) | 3114.75 | + | 22766.6i | 0.140543 | + | 1.02726i | ||||
\(790\) | 9138.89 | − | 1313.97i | 0.411579 | − | 0.0591761i | ||||
\(791\) | 2195.71 | + | 3416.58i | 0.0986982 | + | 0.153577i | ||||
\(792\) | 13603.2 | + | 9007.20i | 0.610314 | + | 0.404112i | ||||
\(793\) | −30669.4 | + | 9005.34i | −1.37339 | + | 0.403265i | ||||
\(794\) | −2289.01 | + | 5012.24i | −0.102310 | + | 0.224027i | ||||
\(795\) | −5658.22 | − | 19768.7i | −0.252423 | − | 0.881916i | ||||
\(796\) | −51033.6 | − | 32797.3i | −2.27241 | − | 1.46039i | ||||
\(797\) | −25453.8 | − | 22055.9i | −1.13127 | − | 0.980249i | −0.131329 | − | 0.991339i | \(-0.541924\pi\) |
−0.999939 | + | 0.0110898i | \(0.996470\pi\) | |||||||
\(798\) | 3491.67 | + | 4085.66i | 0.154892 | + | 0.181242i | ||||
\(799\) | 2008.73 | − | 589.816i | 0.0889408 | − | 0.0261154i | ||||
\(800\) | 458.065 | + | 3185.91i | 0.0202438 | + | 0.140799i | ||||
\(801\) | 3672.21 | + | 3270.89i | 0.161987 | + | 0.144284i | ||||
\(802\) | −7.64795 | + | 8.82620i | −0.000336731 | + | 0.000388609i | ||||
\(803\) | −19938.9 | −0.876249 | ||||||||
\(804\) | −28649.3 | + | 16079.0i | −1.25669 | + | 0.705300i | ||||
\(805\) | −15177.9 | −0.664534 | ||||||||
\(806\) | −30283.3 | + | 34948.8i | −1.32343 | + | 1.52732i | ||||
\(807\) | 1706.88 | − | 11322.0i | 0.0744548 | − | 0.493871i | ||||
\(808\) | 1201.02 | + | 8353.31i | 0.0522920 | + | 0.363699i | ||||
\(809\) | 8043.53 | − | 2361.79i | 0.349562 | − | 0.102641i | −0.102238 | − | 0.994760i | \(-0.532600\pi\) |
0.451800 | + | 0.892119i | \(0.350782\pi\) | |||||||
\(810\) | −29026.8 | + | 17552.7i | −1.25913 | + | 0.761408i | ||||
\(811\) | 19473.9 | + | 16874.3i | 0.843185 | + | 0.730624i | 0.965090 | − | 0.261918i | \(-0.0843550\pi\) |
−0.121905 | + | 0.992542i | \(0.538900\pi\) | |||||||
\(812\) | −3447.30 | − | 2215.45i | −0.148986 | − | 0.0957474i | ||||
\(813\) | 36315.6 | − | 10394.3i | 1.56660 | − | 0.448393i | ||||
\(814\) | −45.4241 | + | 99.4649i | −0.00195591 | + | 0.00428285i | ||||
\(815\) | −3032.95 | + | 890.555i | −0.130355 | + | 0.0382758i | ||||
\(816\) | 493.473 | + | 3.37101i | 0.0211704 | + | 0.000144619i | ||||
\(817\) | −2143.52 | − | 3335.37i | −0.0917896 | − | 0.142827i | ||||
\(818\) | 43376.5 | − | 6236.60i | 1.85406 | − | 0.266574i | ||||
\(819\) | 7294.15 | − | 15411.2i | 0.311207 | − | 0.657524i | ||||
\(820\) | −4952.80 | + | 1454.27i | −0.210926 | + | 0.0619334i | ||||
\(821\) | −3122.30 | − | 448.918i | −0.132727 | − | 0.0190833i | 0.0756311 | − | 0.997136i | \(-0.475903\pi\) |
−0.208358 | + | 0.978053i | \(0.566812\pi\) | |||||||
\(822\) | 32166.3 | + | 14956.2i | 1.36488 | + | 0.634621i | ||||
\(823\) | −10728.5 | − | 12381.4i | −0.454402 | − | 0.524408i | 0.481605 | − | 0.876388i | \(-0.340054\pi\) |
−0.936007 | + | 0.351980i | \(0.885508\pi\) | |||||||
\(824\) | −7394.19 | − | 16191.0i | −0.312608 | − | 0.684515i | ||||
\(825\) | −2162.77 | + | 1848.34i | −0.0912703 | + | 0.0780010i | ||||
\(826\) | −3717.55 | + | 8140.30i | −0.156598 | + | 0.342902i | ||||
\(827\) | −6182.93 | + | 2823.65i | −0.259978 | + | 0.118728i | −0.541140 | − | 0.840932i | \(-0.682007\pi\) |
0.281163 | + | 0.959660i | \(0.409280\pi\) | |||||||
\(828\) | 12328.2 | + | 44211.7i | 0.517434 | + | 1.85563i | ||||
\(829\) | 28676.0 | − | 18429.0i | 1.20140 | − | 0.772092i | 0.222201 | − | 0.975001i | \(-0.428676\pi\) |
0.979198 | + | 0.202909i | \(0.0650395\pi\) | |||||||
\(830\) | 24509.0 | + | 3523.86i | 1.02496 | + | 0.147368i | ||||
\(831\) | 12685.9 | − | 10841.6i | 0.529566 | − | 0.452575i | ||||
\(832\) | 28642.1 | − | 44568.0i | 1.19349 | − | 1.85711i | ||||
\(833\) | 1007.73i | 0.0419158i | ||||||||
\(834\) | −21800.8 | − | 14221.9i | −0.905154 | − | 0.590483i | ||||
\(835\) | 15022.8 | − | 23376.0i | 0.622619 | − | 0.968815i | ||||
\(836\) | −4443.23 | + | 9729.31i | −0.183818 | + | 0.402506i | ||||
\(837\) | 19367.1 | − | 11892.9i | 0.799792 | − | 0.491133i | ||||
\(838\) | −12489.9 | + | 10822.5i | −0.514863 | + | 0.446131i | ||||
\(839\) | −20475.3 | − | 9350.74i | −0.842532 | − | 0.384771i | −0.0530849 | − | 0.998590i | \(-0.516905\pi\) |
−0.789447 | + | 0.613819i | \(0.789633\pi\) | |||||||
\(840\) | 3412.83 | + | 7610.21i | 0.140183 | + | 0.312592i | ||||
\(841\) | 23067.0 | 0.945793 | ||||||||
\(842\) | −33710.3 | −1.37973 | ||||||||
\(843\) | 1544.09 | − | 692.454i | 0.0630858 | − | 0.0282911i | ||||
\(844\) | 9653.61 | + | 2834.56i | 0.393710 | + | 0.115604i | ||||
\(845\) | 2960.86 | − | 20593.3i | 0.120541 | − | 0.838379i | ||||
\(846\) | −33861.0 | + | 51139.0i | −1.37608 | + | 2.07824i | ||||
\(847\) | −1650.42 | − | 237.294i | −0.0669528 | − | 0.00962636i | ||||
\(848\) | −3640.63 | − | 7971.86i | −0.147429 | − | 0.322824i | ||||
\(849\) | 16915.5 | + | 26720.7i | 0.683793 | + | 1.08016i | ||||
\(850\) | 71.6446 | − | 243.999i | 0.00289104 | − | 0.00984599i | ||||
\(851\) | −85.6476 | + | 39.1140i | −0.00345002 | + | 0.00157557i | ||||
\(852\) | −8385.84 | − | 61294.3i | −0.337200 | − | 2.46468i | ||||
\(853\) | 2627.59 | + | 18275.3i | 0.105471 | + | 0.733568i | 0.972092 | + | 0.234601i | \(0.0753782\pi\) |
−0.866621 | + | 0.498967i | \(0.833713\pi\) | |||||||
\(854\) | 3042.15 | − | 21158.6i | 0.121897 | − | 0.847814i | ||||
\(855\) | −4386.74 | − | 5204.58i | −0.175466 | − | 0.208179i | ||||
\(856\) | 8772.67 | − | 7601.56i | 0.350285 | − | 0.303523i | ||||
\(857\) | −2189.26 | − | 15226.6i | −0.0872622 | − | 0.606922i | −0.985787 | − | 0.168000i | \(-0.946269\pi\) |
0.898525 | − | 0.438923i | \(-0.144640\pi\) | |||||||
\(858\) | 57477.5 | + | 392.640i | 2.28701 | + | 0.0156230i | ||||
\(859\) | −24929.6 | + | 16021.3i | −0.990205 | + | 0.636366i | −0.932198 | − | 0.361950i | \(-0.882111\pi\) |
−0.0580075 | + | 0.998316i | \(0.518475\pi\) | |||||||
\(860\) | −5663.41 | − | 19287.8i | −0.224559 | − | 0.764778i | ||||
\(861\) | −1825.03 | + | 1155.34i | −0.0722380 | + | 0.0457303i | ||||
\(862\) | −4218.23 | − | 3655.12i | −0.166675 | − | 0.144424i | ||||
\(863\) | −18134.0 | + | 28217.1i | −0.715283 | + | 1.11300i | 0.273242 | + | 0.961945i | \(0.411904\pi\) |
−0.988525 | + | 0.151057i | \(0.951732\pi\) | |||||||
\(864\) | −24577.0 | + | 20429.5i | −0.967740 | + | 0.804430i | ||||
\(865\) | −8337.81 | + | 28396.0i | −0.327739 | + | 1.11618i | ||||
\(866\) | 11940.9 | + | 40666.8i | 0.468553 | + | 1.59574i | ||||
\(867\) | 23070.6 | + | 10727.0i | 0.903712 | + | 0.420196i | ||||
\(868\) | −7584.23 | − | 16607.1i | −0.296573 | − | 0.649404i | ||||
\(869\) | 5810.88 | + | 5035.16i | 0.226836 | + | 0.196555i | ||||
\(870\) | 7363.02 | + | 4803.31i | 0.286931 | + | 0.187181i | ||||
\(871\) | −16401.4 | + | 31401.3i | −0.638047 | + | 1.22158i | ||||
\(872\) | 29491.9i | 1.14532i | ||||||||
\(873\) | −14602.4 | + | 47329.2i | −0.566111 | + | 1.83488i | ||||
\(874\) | −14191.3 | + | 6480.93i | −0.549229 | + | 0.250825i | ||||
\(875\) | −14175.3 | + | 2038.10i | −0.547672 | + | 0.0787434i | ||||
\(876\) | −8885.98 | + | 29515.5i | −0.342728 | + | 1.13840i | ||||
\(877\) | −43533.9 | − | 12782.7i | −1.67621 | − | 0.492179i | −0.700944 | − | 0.713216i | \(-0.747238\pi\) |
−0.975265 | + | 0.221037i | \(0.929056\pi\) | |||||||
\(878\) | 40222.1 | − | 46418.8i | 1.54605 | − | 1.78423i | ||||
\(879\) | −11222.2 | − | 25024.1i | −0.430620 | − | 0.960231i | ||||
\(880\) | 6230.70 | − | 7190.61i | 0.238678 | − | 0.275449i | ||||
\(881\) | −4292.18 | − | 1960.17i | −0.164140 | − | 0.0749602i | 0.331651 | − | 0.943402i | \(-0.392394\pi\) |
−0.495791 | + | 0.868442i | \(0.665122\pi\) | |||||||
\(882\) | −19026.9 | − | 22574.1i | −0.726382 | − | 0.861803i | ||||
\(883\) | 20868.1 | + | 32471.5i | 0.795321 | + | 1.23754i | 0.967598 | + | 0.252495i | \(0.0812513\pi\) |
−0.172277 | + | 0.985049i | \(0.555112\pi\) | |||||||
\(884\) | −2551.58 | + | 1639.80i | −0.0970801 | + | 0.0623896i | ||||
\(885\) | 4778.59 | − | 10277.3i | 0.181503 | − | 0.390358i | ||||
\(886\) | 12827.0 | + | 14803.1i | 0.486378 | + | 0.561310i | ||||
\(887\) | −2907.11 | − | 9900.69i | −0.110046 | − | 0.374783i | 0.885993 | − | 0.463699i | \(-0.153478\pi\) |
−0.996039 | + | 0.0889156i | \(0.971660\pi\) | |||||||
\(888\) | 38.8702 | + | 34.1489i | 0.00146892 | + | 0.00129050i | ||||
\(889\) | −16665.8 | + | 2396.18i | −0.628742 | + | 0.0903995i | ||||
\(890\) | −6405.04 | + | 5550.00i | −0.241233 | + | 0.209030i | ||||
\(891\) | −26876.9 | − | 8696.15i | −1.01056 | − | 0.326972i | ||||
\(892\) | 22646.1 | + | 6649.50i | 0.850054 | + | 0.249598i | ||||
\(893\) | −11195.0 | − | 5112.60i | −0.419516 | − | 0.191587i | ||||
\(894\) | −3674.11 | + | 24371.0i | −0.137450 | + | 0.911730i | ||||
\(895\) | 269.358 | − | 1873.42i | 0.0100599 | − | 0.0699683i | ||||
\(896\) | 9522.94 | + | 14818.0i | 0.355066 | + | 0.552493i | ||||
\(897\) | 37182.9 | + | 32666.5i | 1.38406 | + | 1.21595i | ||||
\(898\) | 11853.6 | − | 40369.5i | 0.440488 | − | 1.50016i | ||||
\(899\) | −4955.09 | − | 3184.44i | −0.183828 | − | 0.118139i | ||||
\(900\) | 1772.23 | + | 4025.28i | 0.0656380 | + | 0.149084i | ||||
\(901\) | 1530.63i | 0.0565956i | ||||||||
\(902\) | −6125.70 | − | 3936.75i | −0.226124 | − | 0.145321i | ||||
\(903\) | −4499.26 | − | 7107.27i | −0.165810 | − | 0.261922i | ||||
\(904\) | 4242.43 | + | 4896.03i | 0.156085 | + | 0.180132i | ||||
\(905\) | −16571.1 | − | 19124.1i | −0.608667 | − | 0.702439i | ||||
\(906\) | 25058.5 | + | 39583.8i | 0.918889 | + | 1.45153i | ||||
\(907\) | 11056.9 | + | 7105.87i | 0.404785 | + | 0.260139i | 0.727154 | − | 0.686475i | \(-0.240843\pi\) |
−0.322369 | + | 0.946614i | \(0.604479\pi\) | |||||||
\(908\) | 8961.62i | 0.327535i | ||||||||
\(909\) | −5887.98 | − | 13373.4i | −0.214843 | − | 0.487974i | ||||
\(910\) | 24719.4 | + | 15886.2i | 0.900484 | + | 0.578706i | ||||
\(911\) | −2830.29 | + | 9639.08i | −0.102933 | + | 0.350557i | −0.994814 | − | 0.101713i | \(-0.967568\pi\) |
0.891881 | + | 0.452270i | \(0.149386\pi\) | |||||||
\(912\) | −2179.43 | − | 1914.71i | −0.0791319 | − | 0.0695202i | ||||
\(913\) | 11148.2 | + | 17346.9i | 0.404109 | + | 0.628806i | ||||
\(914\) | 6143.68 | − | 42730.3i | 0.222336 | − | 1.54638i | ||||
\(915\) | −4035.84 | + | 26770.4i | −0.145815 | + | 0.967216i | ||||
\(916\) | −39395.2 | − | 17991.2i | −1.42102 | − | 0.648958i | ||||
\(917\) | −16965.5 | − | 4981.52i | −0.610960 | − | 0.179394i | ||||
\(918\) | 2436.82 | − | 661.587i | 0.0876110 | − | 0.0237861i | ||||
\(919\) | −8444.25 | + | 7316.99i | −0.303101 | + | 0.262639i | −0.793110 | − | 0.609079i | \(-0.791539\pi\) |
0.490008 | + | 0.871718i | \(0.336994\pi\) | |||||||
\(920\) | −23964.5 | + | 3445.57i | −0.858789 | + | 0.123475i | ||||
\(921\) | 26494.2 | + | 23276.1i | 0.947898 | + | 0.832763i | ||||
\(922\) | −3525.38 | − | 12006.4i | −0.125924 | − | 0.428859i | ||||
\(923\) | −43687.0 | − | 50417.5i | −1.55794 | − | 1.79795i | ||||
\(924\) | −9567.59 | + | 20577.0i | −0.340639 | + | 0.732610i | ||||
\(925\) | −7.59011 | + | 4.87787i | −0.000269796 | + | 0.000173387i | ||||
\(926\) | 44018.6 | + | 68494.3i | 1.56214 | + | 2.43074i | ||||
\(927\) | 19862.2 | + | 23565.2i | 0.703734 | + | 0.834933i | ||||
\(928\) | 7534.27 | + | 3440.78i | 0.266513 | + | 0.121713i | ||||
\(929\) | −24987.1 | + | 28836.7i | −0.882455 | + | 1.01841i | 0.117225 | + | 0.993105i | \(0.462600\pi\) |
−0.999680 | + | 0.0253020i | \(0.991945\pi\) | |||||||
\(930\) | 16027.1 | + | 35738.4i | 0.565105 | + | 1.26012i | ||||
\(931\) | 3879.49 | − | 4477.18i | 0.136569 | − | 0.157608i | ||||
\(932\) | 54311.9 | + | 15947.4i | 1.90885 | + | 0.560488i | ||||
\(933\) | 7505.66 | − | 24930.7i | 0.263370 | − | 0.874805i | ||||
\(934\) | 62322.8 | − | 8960.66i | 2.18337 | − | 0.313921i | ||||
\(935\) | −1511.58 | + | 690.313i | −0.0528704 | + | 0.0241451i | ||||
\(936\) | 8018.26 | − | 25988.8i | 0.280005 | − | 0.907555i | ||||
\(937\) | 55308.2i | 1.92832i | 0.265313 | + | 0.964162i | \(0.414525\pi\) | ||||
−0.265313 | + | 0.964162i | \(0.585475\pi\) | |||||||
\(938\) | −14545.6 | − | 18700.9i | −0.506324 | − | 0.650967i | ||||
\(939\) | −20264.3 | − | 13219.5i | −0.704259 | − | 0.459427i | ||||
\(940\) | −47158.6 | − | 40863.2i | −1.63632 | − | 1.41788i | ||||
\(941\) | 7730.97 | + | 16928.5i | 0.267824 | + | 0.586453i | 0.994986 | − | 0.100013i | \(-0.0318884\pi\) |
−0.727162 | + | 0.686466i | \(0.759161\pi\) | |||||||
\(942\) | 9613.11 | + | 4469.77i | 0.332497 | + | 0.154600i | ||||
\(943\) | −1766.49 | − | 6016.12i | −0.0610020 | − | 0.207754i | ||||
\(944\) | 1360.93 | − | 4634.89i | 0.0469220 | − | 0.159802i | ||||
\(945\) | −9231.33 | − | 11105.4i | −0.317773 | − | 0.382285i | ||||
\(946\) | 15331.0 | − | 23855.5i | 0.526907 | − | 0.819883i | ||||
\(947\) | 6209.87 | + | 5380.88i | 0.213087 | + | 0.184641i | 0.754864 | − | 0.655881i | \(-0.227703\pi\) |
−0.541777 | + | 0.840522i | \(0.682248\pi\) | |||||||
\(948\) | 10043.2 | − | 6357.87i | 0.344081 | − | 0.217821i | ||||
\(949\) | 9364.48 | + | 31892.5i | 0.320320 | + | 1.09091i | ||||
\(950\) | −1257.63 | + | 808.231i | −0.0429505 | + | 0.0276026i | ||||
\(951\) | −9168.53 | − | 62.6319i | −0.312629 | − | 0.00213563i | ||||
\(952\) | −88.3553 | − | 614.525i | −0.00300800 | − | 0.0209211i | ||||
\(953\) | 13608.8 | − | 11792.1i | 0.462574 | − | 0.400823i | −0.392153 | − | 0.919900i | \(-0.628270\pi\) |
0.854727 | + | 0.519077i | \(0.173724\pi\) | |||||||
\(954\) | −28899.6 | − | 34287.5i | −0.980776 | − | 1.16362i | ||||
\(955\) | 7600.06 | − | 52859.6i | 0.257521 | − | 1.79110i | ||||
\(956\) | 7278.50 | + | 50623.1i | 0.246238 | + | 1.71262i | ||||
\(957\) | 992.378 | + | 7253.55i | 0.0335204 | + | 0.245009i | ||||
\(958\) | 62866.1 | − | 28710.0i | 2.12016 | − | 0.968243i | ||||
\(959\) | −4254.71 | + | 14490.2i | −0.143266 | + | 0.487917i | ||||
\(960\) | −24000.8 | − | 37912.9i | −0.806898 | − | 1.27462i | ||||
\(961\) | 1474.21 | + | 3228.07i | 0.0494851 | + | 0.108357i | ||||
\(962\) | 180.429 | + | 25.9418i | 0.00604706 | + | 0.000869436i | ||||
\(963\) | −11096.2 | + | 16758.1i | −0.371307 | + | 0.560770i | ||||
\(964\) | 713.518 | − | 4962.63i | 0.0238391 | − | 0.165804i | ||||
\(965\) | −1014.26 | − | 297.814i | −0.0338344 | − | 0.00993467i | ||||
\(966\) | −30201.6 | + | 13544.0i | −1.00592 | + | 0.451110i | ||||
\(967\) | −41552.9 | −1.38185 | −0.690927 | − | 0.722925i | \(-0.742797\pi\) | ||||
−0.690927 | + | 0.722925i | \(0.742797\pi\) | |||||||
\(968\) | −2659.73 | −0.0883130 | ||||||||
\(969\) | 207.328 | + | 462.316i | 0.00687340 | + | 0.0153269i | ||||
\(970\) | −77646.3 | − | 35459.9i | −2.57018 | − | 1.17376i | ||||
\(971\) | 23269.3 | − | 20163.0i | 0.769050 | − | 0.666386i | −0.179235 | − | 0.983806i | \(-0.557362\pi\) |
0.948285 | + | 0.317420i | \(0.102817\pi\) | |||||||
\(972\) | −24850.9 | + | 35910.4i | −0.820055 | + | 1.18501i | ||||
\(973\) | 4603.40 | − | 10080.0i | 0.151673 | − | 0.332118i | ||||
\(974\) | 27209.6 | − | 42339.0i | 0.895125 | − | 1.39284i | ||||
\(975\) | 3972.20 | + | 2591.29i | 0.130474 | + | 0.0851156i | ||||
\(976\) | 11538.6i | 0.378424i | ||||||||
\(977\) | 12778.2 | − | 19883.3i | 0.418436 | − | 0.651099i | −0.566492 | − | 0.824068i | \(-0.691700\pi\) |
0.984927 | + | 0.172969i | \(0.0553360\pi\) | |||||||
\(978\) | −5240.40 | + | 4478.53i | −0.171339 | + | 0.146429i | ||||
\(979\) | −6985.99 | − | 1004.43i | −0.228062 | − | 0.0327904i | ||||
\(980\) | 25268.3 | − | 16239.0i | 0.823640 | − | 0.529321i | ||||
\(981\) | −13715.7 | − | 49187.7i | −0.446391 | − | 1.60086i | ||||
\(982\) | 35931.3 | − | 16409.3i | 1.16763 | − | 0.533239i | ||||
\(983\) | −16402.0 | + | 35915.3i | −0.532189 | + | 1.16533i | 0.432426 | + | 0.901669i | \(0.357658\pi\) |
−0.964615 | + | 0.263662i | \(0.915070\pi\) | |||||||
\(984\) | −2619.29 | + | 2238.48i | −0.0848575 | + | 0.0725205i | ||||
\(985\) | −15777.4 | − | 34547.7i | −0.510366 | − | 1.11754i | ||||
\(986\) | −428.542 | − | 494.564i | −0.0138413 | − | 0.0159737i | ||||
\(987\) | −23676.9 | − | 11009.0i | −0.763570 | − | 0.355035i | ||||
\(988\) | 17649.0 | + | 2537.54i | 0.568308 | + | 0.0817103i | ||||
\(989\) | 23428.7 | − | 6879.30i | 0.753276 | − | 0.221182i | ||||
\(990\) | 20826.9 | − | 44003.5i | 0.668608 | − | 1.41265i | ||||
\(991\) | −29279.1 | + | 4209.70i | −0.938529 | + | 0.134940i | −0.594569 | − | 0.804044i | \(-0.702677\pi\) |
−0.343960 | + | 0.938984i | \(0.611768\pi\) | |||||||
\(992\) | 19950.8 | + | 31044.1i | 0.638548 | + | 0.993599i | ||||
\(993\) | 21280.9 | + | 145.374i | 0.680089 | + | 0.00464582i | ||||
\(994\) | 42806.8 | − | 12569.2i | 1.36594 | − | 0.401077i | ||||
\(995\) | −23016.5 | + | 50399.2i | −0.733340 | + | 1.60579i | ||||
\(996\) | 30647.0 | − | 8771.82i | 0.974987 | − | 0.279062i | ||||
\(997\) | −24257.6 | − | 15589.4i | −0.770558 | − | 0.495208i | 0.0953296 | − | 0.995446i | \(-0.469609\pi\) |
−0.865888 | + | 0.500238i | \(0.833246\pi\) | |||||||
\(998\) | −58287.7 | − | 50506.6i | −1.84876 | − | 1.60196i | ||||
\(999\) | −80.7108 | − | 38.8775i | −0.00255613 | − | 0.00123126i |
(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 | 201.4.j.b.5.56 | yes | 640 | |
3.2 | odd | 2 | inner | 201.4.j.b.5.9 | ✓ | 640 | |
67.27 | odd | 22 | inner | 201.4.j.b.161.9 | yes | 640 | |
201.161 | even | 22 | inner | 201.4.j.b.161.56 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.4.j.b.5.9 | ✓ | 640 | 3.2 | odd | 2 | inner | |
201.4.j.b.5.56 | yes | 640 | 1.1 | even | 1 | trivial | |
201.4.j.b.161.9 | yes | 640 | 67.27 | odd | 22 | inner | |
201.4.j.b.161.56 | yes | 640 | 201.161 | even | 22 | inner |