Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(5,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([50, 33]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.bd (of order \(60\), degree \(16\), 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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(864\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 5.19 | ||
Character | \(\chi\) | \(=\) | 287.5 |
Dual form | 287.3.bd.a.115.19 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.32950 | + | 0.139736i | −0.664749 | + | 0.0698680i | −0.430893 | − | 0.902403i | \(-0.641801\pi\) |
−0.233857 | + | 0.972271i | \(0.575135\pi\) | |||||||
\(3\) | −1.23979 | − | 0.332200i | −0.413263 | − | 0.110733i | 0.0461961 | − | 0.998932i | \(-0.485290\pi\) |
−0.459459 | + | 0.888199i | \(0.651957\pi\) | |||||||
\(4\) | −2.16455 | + | 0.460089i | −0.541137 | + | 0.115022i | ||||
\(5\) | −5.09510 | − | 5.65868i | −1.01902 | − | 1.13174i | −0.991233 | − | 0.132122i | \(-0.957821\pi\) |
−0.0277866 | − | 0.999614i | \(-0.508846\pi\) | |||||||
\(6\) | 1.69472 | + | 0.268417i | 0.282453 | + | 0.0447362i | ||||
\(7\) | −6.54965 | − | 2.47023i | −0.935665 | − | 0.352890i | ||||
\(8\) | 7.89905 | − | 2.56656i | 0.987381 | − | 0.320820i | ||||
\(9\) | −6.36751 | − | 3.67628i | −0.707501 | − | 0.408476i | ||||
\(10\) | 7.56465 | + | 6.81124i | 0.756465 | + | 0.681124i | ||||
\(11\) | 2.03152 | − | 0.106468i | 0.184684 | − | 0.00967887i | 0.0402302 | − | 0.999190i | \(-0.487191\pi\) |
0.144454 | + | 0.989512i | \(0.453858\pi\) | |||||||
\(12\) | 2.83643 | + | 0.148651i | 0.236369 | + | 0.0123876i | ||||
\(13\) | 0.569066 | − | 3.59294i | 0.0437743 | − | 0.276380i | −0.956086 | − | 0.293086i | \(-0.905318\pi\) |
0.999860 | + | 0.0167057i | \(0.00531785\pi\) | |||||||
\(14\) | 9.05294 | + | 2.36894i | 0.646638 | + | 0.169210i | ||||
\(15\) | 4.43703 | + | 8.70817i | 0.295802 | + | 0.580544i | ||||
\(16\) | −2.05677 | + | 0.915734i | −0.128548 | + | 0.0572334i | ||||
\(17\) | −29.7726 | + | 1.56031i | −1.75133 | + | 0.0917832i | −0.900823 | − | 0.434186i | \(-0.857036\pi\) |
−0.850504 | + | 0.525969i | \(0.823703\pi\) | |||||||
\(18\) | 8.97930 | + | 3.99784i | 0.498850 | + | 0.222102i | ||||
\(19\) | 31.3555 | + | 12.0362i | 1.65029 | + | 0.633486i | 0.992779 | − | 0.119961i | \(-0.0382770\pi\) |
0.657509 | + | 0.753447i | \(0.271610\pi\) | |||||||
\(20\) | 13.6321 | + | 9.90430i | 0.681605 | + | 0.495215i | ||||
\(21\) | 7.29958 | + | 5.23836i | 0.347599 | + | 0.249446i | ||||
\(22\) | −2.68603 | + | 0.425425i | −0.122092 | + | 0.0193375i | ||||
\(23\) | −0.0584870 | − | 0.556467i | −0.00254291 | − | 0.0241942i | 0.993177 | − | 0.116618i | \(-0.0372053\pi\) |
−0.995720 | + | 0.0924236i | \(0.970539\pi\) | |||||||
\(24\) | −10.6458 | + | 0.557921i | −0.443574 | + | 0.0232467i | ||||
\(25\) | −3.44742 | + | 32.8000i | −0.137897 | + | 1.31200i | ||||
\(26\) | −0.254509 | + | 4.85633i | −0.00978882 | + | 0.186782i | ||||
\(27\) | 14.8414 | + | 14.8414i | 0.549682 | + | 0.549682i | ||||
\(28\) | 15.3136 | + | 2.33351i | 0.546913 | + | 0.0833395i | ||||
\(29\) | −6.66556 | + | 3.39627i | −0.229847 | + | 0.117113i | −0.565122 | − | 0.825007i | \(-0.691171\pi\) |
0.335275 | + | 0.942120i | \(0.391171\pi\) | |||||||
\(30\) | −7.11587 | − | 10.9575i | −0.237196 | − | 0.365249i | ||||
\(31\) | −29.9248 | − | 26.9444i | −0.965317 | − | 0.869175i | 0.0261334 | − | 0.999658i | \(-0.491681\pi\) |
−0.991451 | + | 0.130483i | \(0.958347\pi\) | |||||||
\(32\) | −26.1648 | + | 15.1062i | −0.817649 | + | 0.472070i | ||||
\(33\) | −2.55403 | − | 0.542876i | −0.0773948 | − | 0.0164508i | ||||
\(34\) | 39.3646 | − | 6.23473i | 1.15778 | − | 0.183375i | ||||
\(35\) | 19.3929 | + | 49.6485i | 0.554083 | + | 1.41853i | ||||
\(36\) | 15.4742 | + | 5.02787i | 0.429839 | + | 0.139663i | ||||
\(37\) | 2.58817 | + | 2.87446i | 0.0699506 | + | 0.0776881i | 0.777104 | − | 0.629372i | \(-0.216688\pi\) |
−0.707154 | + | 0.707060i | \(0.750021\pi\) | |||||||
\(38\) | −43.3689 | − | 11.6207i | −1.14129 | − | 0.305807i | ||||
\(39\) | −1.89910 | + | 4.26544i | −0.0486948 | + | 0.109370i | ||||
\(40\) | −54.7698 | − | 31.6213i | −1.36924 | − | 0.790533i | ||||
\(41\) | 28.7857 | − | 29.1956i | 0.702090 | − | 0.712088i | ||||
\(42\) | −10.4368 | − | 5.94438i | −0.248495 | − | 0.141533i | ||||
\(43\) | 34.4565 | + | 47.4254i | 0.801315 | + | 1.10292i | 0.992606 | + | 0.121382i | \(0.0387327\pi\) |
−0.191291 | + | 0.981533i | \(0.561267\pi\) | |||||||
\(44\) | −4.34835 | + | 1.16514i | −0.0988261 | + | 0.0264804i | ||||
\(45\) | 11.6402 | + | 54.7627i | 0.258671 | + | 1.21695i | ||||
\(46\) | 0.155517 | + | 0.731649i | 0.00338080 | + | 0.0159054i | ||||
\(47\) | −13.1562 | + | 16.2465i | −0.279919 | + | 0.345671i | −0.897643 | − | 0.440724i | \(-0.854722\pi\) |
0.617724 | + | 0.786395i | \(0.288055\pi\) | |||||||
\(48\) | 2.85417 | − | 0.452056i | 0.0594619 | − | 0.00941784i | ||||
\(49\) | 36.7959 | + | 32.3583i | 0.750938 | + | 0.660373i | ||||
\(50\) | − | 44.0894i | − | 0.881787i | ||||||
\(51\) | 37.4300 | + | 7.95600i | 0.733922 | + | 0.156000i | ||||
\(52\) | 0.421302 | + | 8.03892i | 0.00810196 | + | 0.154595i | ||||
\(53\) | 16.0670 | + | 10.4340i | 0.303151 | + | 0.196869i | 0.687245 | − | 0.726425i | \(-0.258820\pi\) |
−0.384095 | + | 0.923294i | \(0.625486\pi\) | |||||||
\(54\) | −21.8055 | − | 17.6577i | −0.403806 | − | 0.326995i | ||||
\(55\) | −10.9533 | − | 10.9533i | −0.199151 | − | 0.199151i | ||||
\(56\) | −58.0760 | − | 2.70239i | −1.03707 | − | 0.0482570i | ||||
\(57\) | −34.8757 | − | 25.3387i | −0.611855 | − | 0.444538i | ||||
\(58\) | 8.38728 | − | 5.44676i | 0.144608 | − | 0.0939097i | ||||
\(59\) | 42.1103 | − | 94.5814i | 0.713735 | − | 1.60307i | −0.0814291 | − | 0.996679i | \(-0.525948\pi\) |
0.795164 | − | 0.606395i | \(-0.207385\pi\) | |||||||
\(60\) | −13.6107 | − | 16.8078i | −0.226845 | − | 0.280130i | ||||
\(61\) | −57.4390 | + | 25.5735i | −0.941623 | + | 0.419238i | −0.819372 | − | 0.573262i | \(-0.805678\pi\) |
−0.122251 | + | 0.992499i | \(0.539011\pi\) | |||||||
\(62\) | 43.5501 | + | 31.6410i | 0.702422 | + | 0.510339i | ||||
\(63\) | 32.6237 | + | 39.8076i | 0.517837 | + | 0.631866i | ||||
\(64\) | 39.9609 | − | 29.0333i | 0.624389 | − | 0.453645i | ||||
\(65\) | −23.2308 | + | 15.0862i | −0.357396 | + | 0.232096i | ||||
\(66\) | 3.47144 | + | 0.364863i | 0.0525975 | + | 0.00552822i | ||||
\(67\) | 21.5890 | − | 33.2441i | 0.322224 | − | 0.496181i | −0.640024 | − | 0.768355i | \(-0.721076\pi\) |
0.962248 | + | 0.272173i | \(0.0877424\pi\) | |||||||
\(68\) | 63.7263 | − | 17.0754i | 0.937151 | − | 0.251109i | ||||
\(69\) | −0.112347 | + | 0.709331i | −0.00162822 | + | 0.0102802i | ||||
\(70\) | −32.7205 | − | 63.2977i | −0.467436 | − | 0.904253i | ||||
\(71\) | −28.3194 | + | 55.5800i | −0.398865 | + | 0.782817i | −0.999865 | − | 0.0164324i | \(-0.994769\pi\) |
0.601000 | + | 0.799249i | \(0.294769\pi\) | |||||||
\(72\) | −59.7326 | − | 12.6966i | −0.829620 | − | 0.176341i | ||||
\(73\) | 19.5253 | + | 33.8187i | 0.267469 | + | 0.463270i | 0.968208 | − | 0.250148i | \(-0.0804793\pi\) |
−0.700738 | + | 0.713418i | \(0.747146\pi\) | |||||||
\(74\) | −3.84264 | − | 3.45993i | −0.0519276 | − | 0.0467558i | ||||
\(75\) | 15.1703 | − | 39.5199i | 0.202270 | − | 0.526932i | ||||
\(76\) | −73.4082 | − | 11.6267i | −0.965897 | − | 0.152983i | ||||
\(77\) | −13.5688 | − | 4.32100i | −0.176218 | − | 0.0561169i | ||||
\(78\) | 1.92881 | − | 5.93628i | 0.0247284 | − | 0.0761061i | ||||
\(79\) | −50.2803 | + | 13.4726i | −0.636459 | + | 0.170539i | −0.562599 | − | 0.826730i | \(-0.690199\pi\) |
−0.0738602 | + | 0.997269i | \(0.523532\pi\) | |||||||
\(80\) | 15.6613 | + | 6.97286i | 0.195766 | + | 0.0871608i | ||||
\(81\) | 19.6167 | + | 33.9771i | 0.242181 | + | 0.419470i | ||||
\(82\) | −34.1909 | + | 42.8379i | −0.416962 | + | 0.522414i | ||||
\(83\) | − | 153.181i | − | 1.84555i | −0.385339 | − | 0.922775i | \(-0.625916\pi\) | ||
0.385339 | − | 0.922775i | \(-0.374084\pi\) | |||||||
\(84\) | −18.2104 | − | 7.98023i | −0.216791 | − | 0.0950028i | ||||
\(85\) | 160.523 | + | 160.523i | 1.88851 | + | 1.88851i | ||||
\(86\) | −52.4370 | − | 58.2372i | −0.609732 | − | 0.677176i | ||||
\(87\) | 9.39214 | − | 1.99636i | 0.107956 | − | 0.0229467i | ||||
\(88\) | 15.7738 | − | 6.05501i | 0.179248 | − | 0.0688069i | ||||
\(89\) | 29.5904 | − | 77.0855i | 0.332476 | − | 0.866130i | −0.660821 | − | 0.750543i | \(-0.729792\pi\) |
0.993297 | − | 0.115587i | \(-0.0368748\pi\) | |||||||
\(90\) | −23.1279 | − | 71.1804i | −0.256977 | − | 0.790894i | ||||
\(91\) | −12.6026 | + | 22.1268i | −0.138490 | + | 0.243152i | ||||
\(92\) | 0.382622 | + | 1.17759i | 0.00415894 | + | 0.0127999i | ||||
\(93\) | 28.1495 | + | 43.3465i | 0.302683 | + | 0.466091i | ||||
\(94\) | 15.2209 | − | 23.4381i | 0.161925 | − | 0.249342i | ||||
\(95\) | −91.6500 | − | 238.756i | −0.964737 | − | 2.51322i | ||||
\(96\) | 37.4571 | − | 10.0366i | 0.390178 | − | 0.104548i | ||||
\(97\) | 63.9334 | − | 32.5757i | 0.659107 | − | 0.335832i | −0.0922420 | − | 0.995737i | \(-0.529403\pi\) |
0.751349 | + | 0.659905i | \(0.229403\pi\) | |||||||
\(98\) | −53.4418 | − | 37.8786i | −0.545324 | − | 0.386516i | ||||
\(99\) | −13.3271 | − | 6.79052i | −0.134618 | − | 0.0685911i | ||||
\(100\) | −7.62883 | − | 72.5834i | −0.0762883 | − | 0.725834i | ||||
\(101\) | −22.1144 | + | 17.9079i | −0.218955 | + | 0.177306i | −0.732522 | − | 0.680743i | \(-0.761657\pi\) |
0.513567 | + | 0.858049i | \(0.328324\pi\) | |||||||
\(102\) | −50.8749 | − | 5.34717i | −0.498774 | − | 0.0524232i | ||||
\(103\) | −181.822 | + | 80.9522i | −1.76526 | + | 0.785943i | −0.777710 | + | 0.628623i | \(0.783619\pi\) |
−0.987548 | + | 0.157320i | \(0.949715\pi\) | |||||||
\(104\) | −4.72641 | − | 29.8413i | −0.0454462 | − | 0.286936i | ||||
\(105\) | −7.54987 | − | 67.9960i | −0.0719035 | − | 0.647581i | ||||
\(106\) | −22.8191 | − | 11.6269i | −0.215274 | − | 0.109688i | ||||
\(107\) | −39.1887 | + | 17.4479i | −0.366250 | + | 0.163065i | −0.581606 | − | 0.813471i | \(-0.697575\pi\) |
0.215356 | + | 0.976536i | \(0.430909\pi\) | |||||||
\(108\) | −38.9533 | − | 25.2966i | −0.360679 | − | 0.234228i | ||||
\(109\) | 15.9976 | + | 4.28655i | 0.146767 | + | 0.0393261i | 0.331455 | − | 0.943471i | \(-0.392461\pi\) |
−0.184688 | + | 0.982797i | \(0.559127\pi\) | |||||||
\(110\) | 16.0929 | + | 13.0318i | 0.146299 | + | 0.118471i | ||||
\(111\) | −2.25389 | − | 4.42351i | −0.0203053 | − | 0.0398515i | ||||
\(112\) | 15.7332 | − | 0.917045i | 0.140475 | − | 0.00818790i | ||||
\(113\) | −10.2267 | − | 31.4745i | −0.0905016 | − | 0.278535i | 0.895554 | − | 0.444954i | \(-0.146780\pi\) |
−0.986055 | + | 0.166418i | \(0.946780\pi\) | |||||||
\(114\) | 49.9079 | + | 28.8144i | 0.437789 | + | 0.252758i | ||||
\(115\) | −2.85087 | + | 3.16621i | −0.0247902 | + | 0.0275323i | ||||
\(116\) | 12.8654 | − | 10.4182i | 0.110908 | − | 0.0898117i | ||||
\(117\) | −16.8322 | + | 20.7860i | −0.143865 | + | 0.177658i | ||||
\(118\) | −42.7692 | + | 131.630i | −0.362451 | + | 1.11551i | ||||
\(119\) | 198.854 | + | 63.3255i | 1.67104 | + | 0.532147i | ||||
\(120\) | 57.3983 | + | 57.3983i | 0.478319 | + | 0.478319i | ||||
\(121\) | −116.221 | + | 12.2154i | −0.960507 | + | 0.100953i | ||||
\(122\) | 72.7916 | − | 42.0262i | 0.596652 | − | 0.344477i | ||||
\(123\) | −45.3870 | + | 26.6338i | −0.369000 | + | 0.216535i | ||||
\(124\) | 77.1706 | + | 44.5545i | 0.622344 | + | 0.359310i | ||||
\(125\) | 49.1634 | − | 35.7193i | 0.393307 | − | 0.285754i | ||||
\(126\) | −48.9358 | − | 48.3654i | −0.388379 | − | 0.383853i | ||||
\(127\) | −12.6037 | + | 38.7902i | −0.0992417 | + | 0.305435i | −0.988336 | − | 0.152290i | \(-0.951335\pi\) |
0.889094 | + | 0.457724i | \(0.151335\pi\) | |||||||
\(128\) | 40.7380 | − | 36.6806i | 0.318266 | − | 0.286568i | ||||
\(129\) | −26.9641 | − | 70.2439i | −0.209024 | − | 0.544527i | ||||
\(130\) | 28.7772 | − | 23.3033i | 0.221363 | − | 0.179256i | ||||
\(131\) | 168.037 | + | 35.7174i | 1.28273 | + | 0.272652i | 0.798343 | − | 0.602203i | \(-0.205710\pi\) |
0.484385 | + | 0.874855i | \(0.339044\pi\) | |||||||
\(132\) | 5.77809 | 0.0437734 | ||||||||
\(133\) | −175.635 | − | 156.288i | −1.32057 | − | 1.17510i | ||||
\(134\) | −24.0571 | + | 47.2148i | −0.179531 | + | 0.352349i | ||||
\(135\) | 8.36434 | − | 159.601i | 0.0619581 | − | 1.18223i | ||||
\(136\) | −231.170 | + | 88.7380i | −1.69978 | + | 0.652485i | ||||
\(137\) | −96.3889 | − | 25.8273i | −0.703569 | − | 0.188521i | −0.110740 | − | 0.993849i | \(-0.535322\pi\) |
−0.592829 | + | 0.805329i | \(0.701989\pi\) | |||||||
\(138\) | 0.0502461 | − | 0.958753i | 0.000364102 | − | 0.00694749i | ||||
\(139\) | −33.6364 | + | 46.2965i | −0.241989 | + | 0.333069i | −0.912685 | − | 0.408663i | \(-0.865995\pi\) |
0.670697 | + | 0.741732i | \(0.265995\pi\) | |||||||
\(140\) | −64.8196 | − | 98.5441i | −0.462997 | − | 0.703886i | ||||
\(141\) | 21.7080 | − | 15.7718i | 0.153957 | − | 0.111857i | ||||
\(142\) | 29.8841 | − | 77.8508i | 0.210451 | − | 0.548245i | ||||
\(143\) | 0.773539 | − | 7.35973i | 0.00540936 | − | 0.0514666i | ||||
\(144\) | 16.4630 | + | 1.73033i | 0.114326 | + | 0.0120162i | ||||
\(145\) | 53.1801 | + | 20.4139i | 0.366760 | + | 0.140786i | ||||
\(146\) | −30.6845 | − | 42.2336i | −0.210168 | − | 0.289271i | ||||
\(147\) | −34.8698 | − | 52.3411i | −0.237209 | − | 0.356062i | ||||
\(148\) | −6.92474 | − | 5.03112i | −0.0467888 | − | 0.0339940i | ||||
\(149\) | 160.705 | + | 8.42217i | 1.07855 | + | 0.0565246i | 0.583326 | − | 0.812238i | \(-0.301751\pi\) |
0.495228 | + | 0.868763i | \(0.335084\pi\) | |||||||
\(150\) | −14.6465 | + | 54.6615i | −0.0976434 | + | 0.364410i | ||||
\(151\) | 20.3938 | + | 53.1278i | 0.135059 | + | 0.351839i | 0.984385 | − | 0.176028i | \(-0.0563250\pi\) |
−0.849327 | + | 0.527868i | \(0.822992\pi\) | |||||||
\(152\) | 278.570 | + | 14.5992i | 1.83270 | + | 0.0960476i | ||||
\(153\) | 195.313 | + | 99.5171i | 1.27656 | + | 0.650438i | ||||
\(154\) | 18.6435 | + | 3.84872i | 0.121061 | + | 0.0249917i | ||||
\(155\) | 306.620i | 1.97819i | ||||||||
\(156\) | 2.14821 | − | 10.1065i | 0.0137706 | − | 0.0647854i | ||||
\(157\) | 193.840 | + | 239.373i | 1.23465 | + | 1.52467i | 0.768331 | + | 0.640053i | \(0.221088\pi\) |
0.466322 | + | 0.884615i | \(0.345579\pi\) | |||||||
\(158\) | 64.9650 | − | 24.9377i | 0.411171 | − | 0.157834i | ||||
\(159\) | −16.4535 | − | 18.2735i | −0.103481 | − | 0.114927i | ||||
\(160\) | 218.793 | + | 71.0903i | 1.36746 | + | 0.444314i | ||||
\(161\) | −0.991530 | + | 3.78914i | −0.00615857 | + | 0.0235350i | ||||
\(162\) | −30.8281 | − | 42.4313i | −0.190297 | − | 0.261922i | ||||
\(163\) | −124.810 | + | 216.177i | −0.765704 | + | 1.32624i | 0.174170 | + | 0.984716i | \(0.444276\pi\) |
−0.939874 | + | 0.341522i | \(0.889057\pi\) | |||||||
\(164\) | −48.8754 | + | 76.4393i | −0.298021 | + | 0.466094i | ||||
\(165\) | 9.94107 | + | 17.2184i | 0.0602489 | + | 0.104354i | ||||
\(166\) | 21.4048 | + | 203.653i | 0.128945 | + | 1.22683i | ||||
\(167\) | 21.3847 | − | 21.3847i | 0.128052 | − | 0.128052i | −0.640176 | − | 0.768228i | \(-0.721139\pi\) |
0.768228 | + | 0.640176i | \(0.221139\pi\) | |||||||
\(168\) | 71.1043 | + | 22.6433i | 0.423240 | + | 0.134781i | ||||
\(169\) | 148.143 | + | 48.1346i | 0.876587 | + | 0.284820i | ||||
\(170\) | −235.847 | − | 190.985i | −1.38733 | − | 1.12344i | ||||
\(171\) | −155.408 | − | 191.912i | −0.908816 | − | 1.12229i | ||||
\(172\) | −96.4028 | − | 86.8015i | −0.560481 | − | 0.504660i | ||||
\(173\) | −109.180 | + | 189.105i | −0.631096 | + | 1.09309i | 0.356232 | + | 0.934397i | \(0.384061\pi\) |
−0.987328 | + | 0.158693i | \(0.949272\pi\) | |||||||
\(174\) | −12.2079 | + | 3.96658i | −0.0701602 | + | 0.0227964i | ||||
\(175\) | 103.603 | − | 206.313i | 0.592017 | − | 1.17893i | ||||
\(176\) | −4.08088 | + | 2.07931i | −0.0231868 | + | 0.0118143i | ||||
\(177\) | −83.6279 | + | 103.272i | −0.472474 | + | 0.583457i | ||||
\(178\) | −28.5687 | + | 106.620i | −0.160499 | + | 0.598989i | ||||
\(179\) | −84.4173 | + | 129.991i | −0.471605 | + | 0.726208i | −0.991794 | − | 0.127843i | \(-0.959195\pi\) |
0.520190 | + | 0.854051i | \(0.325861\pi\) | |||||||
\(180\) | −50.3915 | − | 113.181i | −0.279953 | − | 0.628784i | ||||
\(181\) | −18.6785 | + | 36.6586i | −0.103196 | + | 0.202534i | −0.936831 | − | 0.349782i | \(-0.886256\pi\) |
0.833635 | + | 0.552316i | \(0.186256\pi\) | |||||||
\(182\) | 13.6632 | − | 31.1786i | 0.0750725 | − | 0.171311i | ||||
\(183\) | 79.7078 | − | 12.6245i | 0.435562 | − | 0.0689862i | ||||
\(184\) | −1.89019 | − | 4.24545i | −0.0102728 | − | 0.0230731i | ||||
\(185\) | 3.07864 | − | 29.2913i | 0.0166413 | − | 0.158331i | ||||
\(186\) | −43.4818 | − | 53.6956i | −0.233773 | − | 0.288686i | ||||
\(187\) | −60.3175 | + | 6.33963i | −0.322554 | + | 0.0339017i | ||||
\(188\) | 21.0024 | − | 41.2195i | 0.111715 | − | 0.219252i | ||||
\(189\) | −60.5444 | − | 133.868i | −0.320341 | − | 0.708295i | ||||
\(190\) | 155.211 | + | 304.620i | 0.816902 | + | 1.60326i | ||||
\(191\) | 78.8984 | + | 294.453i | 0.413080 | + | 1.54164i | 0.788650 | + | 0.614843i | \(0.210781\pi\) |
−0.375569 | + | 0.926794i | \(0.622553\pi\) | |||||||
\(192\) | −59.1879 | + | 22.7201i | −0.308270 | + | 0.118334i | ||||
\(193\) | −74.8193 | − | 48.5882i | −0.387665 | − | 0.251752i | 0.336061 | − | 0.941840i | \(-0.390905\pi\) |
−0.723726 | + | 0.690088i | \(0.757572\pi\) | |||||||
\(194\) | −80.4474 | + | 52.2432i | −0.414677 | + | 0.269295i | ||||
\(195\) | 33.8129 | − | 10.9865i | 0.173399 | − | 0.0563409i | ||||
\(196\) | −94.5343 | − | 53.1117i | −0.482318 | − | 0.270978i | ||||
\(197\) | −189.738 | + | 61.6495i | −0.963136 | + | 0.312942i | −0.748042 | − | 0.663652i | \(-0.769006\pi\) |
−0.215094 | + | 0.976593i | \(0.569006\pi\) | |||||||
\(198\) | 18.6673 | + | 7.16571i | 0.0942793 | + | 0.0361904i | ||||
\(199\) | 2.52968 | + | 6.59003i | 0.0127119 | + | 0.0331158i | 0.939790 | − | 0.341754i | \(-0.111021\pi\) |
−0.927078 | + | 0.374869i | \(0.877688\pi\) | |||||||
\(200\) | 56.9518 | + | 267.937i | 0.284759 | + | 1.33969i | ||||
\(201\) | −37.8095 | + | 34.0438i | −0.188107 | + | 0.169372i | ||||
\(202\) | 26.8987 | − | 26.8987i | 0.133162 | − | 0.133162i | ||||
\(203\) | 52.0467 | − | 5.77896i | 0.256388 | − | 0.0284678i | ||||
\(204\) | −84.6796 | −0.415096 | ||||||||
\(205\) | −311.875 | − | 14.1344i | −1.52134 | − | 0.0689484i | ||||
\(206\) | 230.420 | − | 133.033i | 1.11854 | − | 0.645790i | ||||
\(207\) | −1.67331 | + | 3.75832i | −0.00808363 | + | 0.0181561i | ||||
\(208\) | 2.11974 | + | 7.91097i | 0.0101911 | + | 0.0380335i | ||||
\(209\) | 64.9808 | + | 21.1135i | 0.310913 | + | 0.101022i | ||||
\(210\) | 19.5390 | + | 89.3456i | 0.0930430 | + | 0.425455i | ||||
\(211\) | 0.356318 | − | 2.24970i | 0.00168871 | − | 0.0106621i | −0.986830 | − | 0.161763i | \(-0.948282\pi\) |
0.988518 | + | 0.151101i | \(0.0482819\pi\) | |||||||
\(212\) | −39.5784 | − | 15.1927i | −0.186691 | − | 0.0716638i | ||||
\(213\) | 53.5738 | − | 59.4997i | 0.251520 | − | 0.279341i | ||||
\(214\) | 49.6632 | − | 28.6731i | 0.232071 | − | 0.133986i | ||||
\(215\) | 92.8055 | − | 436.616i | 0.431654 | − | 2.03077i | ||||
\(216\) | 155.324 | + | 79.1417i | 0.719094 | + | 0.366397i | ||||
\(217\) | 129.438 | + | 250.398i | 0.596490 | + | 1.15391i | ||||
\(218\) | −21.8678 | − | 3.46352i | −0.100311 | − | 0.0158877i | ||||
\(219\) | −12.9726 | − | 48.4144i | −0.0592356 | − | 0.221070i | ||||
\(220\) | 28.7484 | + | 18.6694i | 0.130675 | + | 0.0848610i | ||||
\(221\) | −11.3364 | + | 107.859i | −0.0512961 | + | 0.488050i | ||||
\(222\) | 3.61467 | + | 5.56611i | 0.0162823 | + | 0.0250726i | ||||
\(223\) | 15.2910 | + | 21.0463i | 0.0685695 | + | 0.0943779i | 0.841924 | − | 0.539596i | \(-0.181423\pi\) |
−0.773355 | + | 0.633973i | \(0.781423\pi\) | |||||||
\(224\) | 208.686 | − | 34.3077i | 0.931634 | − | 0.153159i | ||||
\(225\) | 142.534 | − | 196.181i | 0.633483 | − | 0.871915i | ||||
\(226\) | 17.9945 | + | 40.4163i | 0.0796216 | + | 0.178833i | ||||
\(227\) | −222.148 | + | 179.892i | −0.978628 | + | 0.792477i | −0.978230 | − | 0.207523i | \(-0.933460\pi\) |
−0.000397364 | 1.00000i | \(0.500126\pi\) | ||||||||
\(228\) | 87.1483 | + | 38.8009i | 0.382229 | + | 0.170179i | ||||
\(229\) | 110.367 | + | 169.950i | 0.481951 | + | 0.742139i | 0.993090 | − | 0.117359i | \(-0.0374429\pi\) |
−0.511139 | + | 0.859498i | \(0.670776\pi\) | |||||||
\(230\) | 3.34780 | − | 4.60784i | 0.0145556 | − | 0.0200341i | ||||
\(231\) | 15.3870 | + | 9.86468i | 0.0666103 | + | 0.0427042i | ||||
\(232\) | −43.9349 | + | 43.9349i | −0.189374 | + | 0.189374i | ||||
\(233\) | −175.372 | + | 216.566i | −0.752668 | + | 0.929468i | −0.999213 | − | 0.0396636i | \(-0.987371\pi\) |
0.246545 | + | 0.969131i | \(0.420705\pi\) | |||||||
\(234\) | 19.4738 | − | 29.9871i | 0.0832215 | − | 0.128150i | ||||
\(235\) | 158.966 | − | 8.33106i | 0.676451 | − | 0.0354513i | ||||
\(236\) | −47.6340 | + | 224.101i | −0.201839 | + | 0.949579i | ||||
\(237\) | 66.8125 | 0.281909 | ||||||||
\(238\) | −273.225 | − | 56.4041i | −1.14801 | − | 0.236992i | ||||
\(239\) | −1.02133 | − | 6.44844i | −0.00427336 | − | 0.0269809i | 0.985460 | − | 0.169910i | \(-0.0543478\pi\) |
−0.989733 | + | 0.142929i | \(0.954348\pi\) | |||||||
\(240\) | −17.1003 | − | 13.8476i | −0.0712514 | − | 0.0576982i | ||||
\(241\) | 193.222 | − | 41.0705i | 0.801749 | − | 0.170417i | 0.211226 | − | 0.977437i | \(-0.432255\pi\) |
0.590524 | + | 0.807020i | \(0.298921\pi\) | |||||||
\(242\) | 152.809 | − | 32.4806i | 0.631443 | − | 0.134217i | ||||
\(243\) | −61.9243 | − | 231.105i | −0.254833 | − | 0.951048i | ||||
\(244\) | 112.564 | − | 81.7822i | 0.461326 | − | 0.335173i | ||||
\(245\) | −4.37382 | − | 373.085i | −0.0178523 | − | 1.52280i | ||||
\(246\) | 56.6202 | − | 41.7518i | 0.230164 | − | 0.169723i | ||||
\(247\) | 61.0888 | − | 105.809i | 0.247323 | − | 0.428376i | ||||
\(248\) | −305.532 | − | 136.032i | −1.23198 | − | 0.548515i | ||||
\(249\) | −50.8867 | + | 189.912i | −0.204364 | + | 0.762698i | ||||
\(250\) | −60.3714 | + | 54.3586i | −0.241485 | + | 0.217434i | ||||
\(251\) | 123.178 | − | 379.102i | 0.490748 | − | 1.51037i | −0.332732 | − | 0.943021i | \(-0.607971\pi\) |
0.823480 | − | 0.567345i | \(-0.192029\pi\) | |||||||
\(252\) | −88.9307 | − | 71.1557i | −0.352900 | − | 0.282364i | ||||
\(253\) | −0.178063 | − | 1.12425i | −0.000703808 | − | 0.00444367i | ||||
\(254\) | 11.3362 | − | 53.3327i | 0.0446308 | − | 0.209971i | ||||
\(255\) | −145.689 | − | 252.341i | −0.571331 | − | 0.989574i | ||||
\(256\) | −181.241 | + | 201.288i | −0.707971 | + | 0.786282i | ||||
\(257\) | 222.492 | − | 144.488i | 0.865729 | − | 0.562211i | −0.0336239 | − | 0.999435i | \(-0.510705\pi\) |
0.899353 | + | 0.437224i | \(0.144038\pi\) | |||||||
\(258\) | 45.6644 | + | 89.6214i | 0.176994 | + | 0.347370i | ||||
\(259\) | −9.85108 | − | 25.2201i | −0.0380350 | − | 0.0973749i | ||||
\(260\) | 43.3431 | − | 43.3431i | 0.166704 | − | 0.166704i | ||||
\(261\) | 54.9287 | + | 2.87869i | 0.210455 | + | 0.0110295i | ||||
\(262\) | −228.396 | − | 24.0054i | −0.871742 | − | 0.0916238i | ||||
\(263\) | 13.5412 | + | 258.382i | 0.0514876 | + | 0.982443i | 0.895205 | + | 0.445655i | \(0.147029\pi\) |
−0.843717 | + | 0.536788i | \(0.819638\pi\) | |||||||
\(264\) | −21.5677 | + | 2.26686i | −0.0816959 | + | 0.00858658i | ||||
\(265\) | −22.8201 | − | 144.080i | −0.0861136 | − | 0.543700i | ||||
\(266\) | 255.346 | + | 183.243i | 0.959947 | + | 0.688882i | ||||
\(267\) | −62.2937 | + | 85.7399i | −0.233310 | + | 0.321123i | ||||
\(268\) | −31.4352 | + | 81.8914i | −0.117295 | + | 0.305565i | ||||
\(269\) | 176.900 | − | 397.325i | 0.657622 | − | 1.47704i | −0.208917 | − | 0.977933i | \(-0.566994\pi\) |
0.866539 | − | 0.499110i | \(-0.166340\pi\) | |||||||
\(270\) | 11.1816 | + | 213.358i | 0.0414135 | + | 0.790216i | ||||
\(271\) | −180.973 | − | 406.471i | −0.667795 | − | 1.49989i | −0.855574 | − | 0.517681i | \(-0.826795\pi\) |
0.187778 | − | 0.982211i | \(-0.439871\pi\) | |||||||
\(272\) | 59.8066 | − | 30.4730i | 0.219877 | − | 0.112033i | ||||
\(273\) | 22.9751 | − | 23.2460i | 0.0841577 | − | 0.0851501i | ||||
\(274\) | 131.758 | + | 20.8684i | 0.480869 | + | 0.0761621i | ||||
\(275\) | −3.51138 | + | 67.0011i | −0.0127686 | + | 0.243640i | ||||
\(276\) | −0.0831749 | − | 1.58707i | −0.000301358 | − | 0.00575026i | ||||
\(277\) | −253.327 | + | 281.348i | −0.914537 | + | 1.01570i | 0.0852755 | + | 0.996357i | \(0.472823\pi\) |
−0.999813 | + | 0.0193393i | \(0.993844\pi\) | |||||||
\(278\) | 38.2503 | − | 66.2514i | 0.137591 | − | 0.238314i | ||||
\(279\) | 91.4912 | + | 281.581i | 0.327926 | + | 1.00925i | ||||
\(280\) | 280.611 | + | 342.403i | 1.00218 | + | 1.22287i | ||||
\(281\) | 31.7327 | − | 200.352i | 0.112928 | − | 0.712997i | −0.864643 | − | 0.502387i | \(-0.832455\pi\) |
0.977570 | − | 0.210609i | \(-0.0675448\pi\) | |||||||
\(282\) | −26.6569 | + | 24.0020i | −0.0945280 | + | 0.0851134i | ||||
\(283\) | −16.4614 | − | 77.4448i | −0.0581675 | − | 0.273656i | 0.939446 | − | 0.342696i | \(-0.111340\pi\) |
−0.997614 | + | 0.0690392i | \(0.978007\pi\) | |||||||
\(284\) | 35.7270 | − | 133.335i | 0.125799 | − | 0.469490i | ||||
\(285\) | 34.3117 | + | 326.454i | 0.120392 | + | 1.14545i | ||||
\(286\) | 9.89284i | 0.0345904i | ||||||||
\(287\) | −260.656 | + | 120.114i | −0.908210 | + | 0.418516i | ||||
\(288\) | 222.139 | 0.771316 | ||||||||
\(289\) | 596.554 | − | 62.7004i | 2.06420 | − | 0.216956i | ||||
\(290\) | −73.5555 | − | 19.7091i | −0.253640 | − | 0.0679625i | ||||
\(291\) | −90.0856 | + | 19.1483i | −0.309573 | + | 0.0658017i | ||||
\(292\) | −57.8230 | − | 64.2190i | −0.198024 | − | 0.219928i | ||||
\(293\) | −94.9532 | − | 15.0391i | −0.324072 | − | 0.0513280i | −0.00772124 | − | 0.999970i | \(-0.502458\pi\) |
−0.316351 | + | 0.948642i | \(0.602458\pi\) | |||||||
\(294\) | 53.6733 | + | 64.7148i | 0.182562 | + | 0.220118i | ||||
\(295\) | −749.762 | + | 243.613i | −2.54157 | + | 0.825805i | ||||
\(296\) | 27.8216 | + | 16.0628i | 0.0939918 | + | 0.0542662i | ||||
\(297\) | 31.7308 | + | 28.5705i | 0.106838 | + | 0.0961970i | ||||
\(298\) | −214.833 | + | 11.2589i | −0.720918 | + | 0.0377817i | ||||
\(299\) | −2.03263 | − | 0.106526i | −0.00679811 | − | 0.000356274i | ||||
\(300\) | −14.6541 | + | 92.5225i | −0.0488471 | + | 0.308408i | ||||
\(301\) | −108.527 | − | 395.735i | −0.360555 | − | 1.31474i | ||||
\(302\) | −34.5374 | − | 67.7835i | −0.114362 | − | 0.224449i | ||||
\(303\) | 33.3662 | − | 14.8556i | 0.110120 | − | 0.0490284i | ||||
\(304\) | −75.5130 | + | 3.95747i | −0.248398 | + | 0.0130180i | ||||
\(305\) | 437.370 | + | 194.730i | 1.43400 | + | 0.638458i | ||||
\(306\) | −273.575 | − | 105.016i | −0.894035 | − | 0.343188i | ||||
\(307\) | −177.816 | − | 129.191i | −0.579206 | − | 0.420818i | 0.259232 | − | 0.965815i | \(-0.416531\pi\) |
−0.838438 | + | 0.544997i | \(0.816531\pi\) | |||||||
\(308\) | 31.3583 | + | 3.11017i | 0.101813 | + | 0.0100980i | ||||
\(309\) | 252.313 | − | 39.9624i | 0.816546 | − | 0.129328i | ||||
\(310\) | −42.8458 | − | 407.651i | −0.138212 | − | 1.31500i | ||||
\(311\) | 118.602 | − | 6.21568i | 0.381358 | − | 0.0199861i | 0.139306 | − | 0.990249i | \(-0.455513\pi\) |
0.242052 | + | 0.970263i | \(0.422180\pi\) | |||||||
\(312\) | −4.05356 | + | 38.5671i | −0.0129922 | + | 0.123612i | ||||
\(313\) | −25.6068 | + | 488.607i | −0.0818109 | + | 1.56104i | 0.582028 | + | 0.813169i | \(0.302259\pi\) |
−0.663839 | + | 0.747876i | \(0.731074\pi\) | |||||||
\(314\) | −291.160 | − | 291.160i | −0.927260 | − | 0.927260i | ||||
\(315\) | 59.0373 | − | 387.431i | 0.187420 | − | 1.22994i | ||||
\(316\) | 102.636 | − | 52.2954i | 0.324796 | − | 0.165492i | ||||
\(317\) | −223.534 | − | 344.212i | −0.705155 | − | 1.08584i | −0.991799 | − | 0.127806i | \(-0.959206\pi\) |
0.286644 | − | 0.958037i | \(-0.407460\pi\) | |||||||
\(318\) | 24.4284 | + | 21.9954i | 0.0768188 | + | 0.0691679i | ||||
\(319\) | −13.1797 | + | 7.60928i | −0.0413155 | + | 0.0238535i | ||||
\(320\) | −367.895 | − | 78.1984i | −1.14967 | − | 0.244370i | ||||
\(321\) | 54.3819 | − | 8.61325i | 0.169414 | − | 0.0268326i | ||||
\(322\) | 0.788759 | − | 5.17621i | 0.00244956 | − | 0.0160752i | ||||
\(323\) | −952.313 | − | 309.425i | −2.94834 | − | 0.957973i | ||||
\(324\) | −58.0937 | − | 64.5196i | −0.179302 | − | 0.199135i | ||||
\(325\) | 115.887 | + | 31.0518i | 0.356575 | + | 0.0955439i | ||||
\(326\) | 135.727 | − | 304.847i | 0.416340 | − | 0.935114i | ||||
\(327\) | −18.4097 | − | 10.6288i | −0.0562987 | − | 0.0325041i | ||||
\(328\) | 152.447 | − | 304.498i | 0.464778 | − | 0.928347i | ||||
\(329\) | 126.301 | − | 73.9104i | 0.383894 | − | 0.224652i | ||||
\(330\) | −15.6227 | − | 21.5028i | −0.0473414 | − | 0.0651599i | ||||
\(331\) | 377.709 | − | 101.207i | 1.14111 | − | 0.305761i | 0.361715 | − | 0.932289i | \(-0.382191\pi\) |
0.779399 | + | 0.626528i | \(0.215525\pi\) | |||||||
\(332\) | 70.4768 | + | 331.567i | 0.212279 | + | 0.998696i | ||||
\(333\) | −5.91290 | − | 27.8180i | −0.0177565 | − | 0.0835375i | ||||
\(334\) | −25.4427 | + | 31.4191i | −0.0761758 | + | 0.0940692i | ||||
\(335\) | −298.116 | + | 47.2169i | −0.889899 | + | 0.140946i | ||||
\(336\) | −19.8105 | − | 4.08964i | −0.0589599 | − | 0.0121716i | ||||
\(337\) | 234.534i | 0.695948i | 0.937504 | + | 0.347974i | \(0.113130\pi\) | ||||
−0.937504 | + | 0.347974i | \(0.886870\pi\) | |||||||
\(338\) | −203.682 | − | 43.2940i | −0.602610 | − | 0.128089i | ||||
\(339\) | 2.22309 | + | 42.4190i | 0.00655778 | + | 0.125130i | ||||
\(340\) | −421.316 | − | 273.606i | −1.23917 | − | 0.804723i | ||||
\(341\) | −63.6617 | − | 51.5522i | −0.186691 | − | 0.151180i | ||||
\(342\) | 233.431 | + | 233.431i | 0.682547 | + | 0.682547i | ||||
\(343\) | −161.068 | − | 302.830i | −0.469587 | − | 0.882886i | ||||
\(344\) | 393.894 | + | 286.181i | 1.14504 | + | 0.831920i | ||||
\(345\) | 4.58630 | − | 2.97837i | 0.0132936 | − | 0.00863297i | ||||
\(346\) | 118.729 | − | 266.671i | 0.343149 | − | 0.770724i | ||||
\(347\) | −228.449 | − | 282.111i | −0.658354 | − | 0.812999i | 0.333178 | − | 0.942864i | \(-0.391879\pi\) |
−0.991532 | + | 0.129865i | \(0.958546\pi\) | |||||||
\(348\) | −19.4112 | + | 8.64244i | −0.0557794 | + | 0.0248346i | ||||
\(349\) | −115.504 | − | 83.9187i | −0.330957 | − | 0.240455i | 0.409879 | − | 0.912140i | \(-0.365571\pi\) |
−0.740837 | + | 0.671685i | \(0.765571\pi\) | |||||||
\(350\) | −108.911 | + | 288.770i | −0.311174 | + | 0.825057i | ||||
\(351\) | 61.7700 | − | 44.8785i | 0.175983 | − | 0.127859i | ||||
\(352\) | −51.5460 | + | 33.4744i | −0.146437 | + | 0.0950976i | ||||
\(353\) | −59.5600 | − | 6.26001i | −0.168725 | − | 0.0177337i | 0.0197891 | − | 0.999804i | \(-0.493701\pi\) |
−0.188514 | + | 0.982070i | \(0.560367\pi\) | |||||||
\(354\) | 96.7524 | − | 148.986i | 0.273312 | − | 0.420863i | ||||
\(355\) | 458.800 | − | 122.935i | 1.29239 | − | 0.346296i | ||||
\(356\) | −28.5836 | + | 180.470i | −0.0802910 | + | 0.506937i | ||||
\(357\) | −225.501 | − | 144.570i | −0.631655 | − | 0.404957i | ||||
\(358\) | 94.0682 | − | 184.619i | 0.262760 | − | 0.515696i | ||||
\(359\) | −308.694 | − | 65.6149i | −0.859872 | − | 0.182771i | −0.243185 | − | 0.969980i | \(-0.578192\pi\) |
−0.616687 | + | 0.787209i | \(0.711526\pi\) | |||||||
\(360\) | 232.498 | + | 402.698i | 0.645828 | + | 1.11861i | ||||
\(361\) | 570.019 | + | 513.247i | 1.57900 | + | 1.42174i | ||||
\(362\) | 19.7105 | − | 51.3476i | 0.0544489 | − | 0.141844i | ||||
\(363\) | 148.148 | + | 23.4643i | 0.408121 | + | 0.0646400i | ||||
\(364\) | 17.0986 | − | 53.6928i | 0.0469741 | − | 0.147508i | ||||
\(365\) | 91.8863 | − | 282.797i | 0.251743 | − | 0.774786i | ||||
\(366\) | −104.207 | + | 27.9223i | −0.284720 | + | 0.0762904i | ||||
\(367\) | −62.9503 | − | 28.0273i | −0.171527 | − | 0.0763686i | 0.319177 | − | 0.947695i | \(-0.396594\pi\) |
−0.490704 | + | 0.871327i | \(0.663260\pi\) | |||||||
\(368\) | 0.629870 | + | 1.09097i | 0.00171160 | + | 0.00296458i | ||||
\(369\) | −290.624 | + | 80.0790i | −0.787600 | + | 0.217016i | ||||
\(370\) | 39.3730i | 0.106413i | ||||||||
\(371\) | −79.4589 | − | 108.028i | −0.214175 | − | 0.291182i | ||||
\(372\) | −80.8743 | − | 80.8743i | −0.217404 | − | 0.217404i | ||||
\(373\) | 57.8652 | + | 64.2659i | 0.155135 | + | 0.172295i | 0.815702 | − | 0.578472i | \(-0.196351\pi\) |
−0.660567 | + | 0.750767i | \(0.729684\pi\) | |||||||
\(374\) | 79.3062 | − | 16.8571i | 0.212049 | − | 0.0450723i | ||||
\(375\) | −72.8181 | + | 27.9523i | −0.194182 | + | 0.0745394i | ||||
\(376\) | −62.2237 | + | 162.098i | −0.165489 | + | 0.431112i | ||||
\(377\) | 8.40947 | + | 25.8817i | 0.0223063 | + | 0.0686517i | ||||
\(378\) | 99.1999 | + | 169.517i | 0.262433 | + | 0.448457i | ||||
\(379\) | 65.0282 | + | 200.136i | 0.171578 | + | 0.528064i | 0.999461 | − | 0.0328379i | \(-0.0104545\pi\) |
−0.827882 | + | 0.560902i | \(0.810454\pi\) | |||||||
\(380\) | 308.230 | + | 474.633i | 0.811132 | + | 1.24903i | ||||
\(381\) | 28.5120 | − | 43.9047i | 0.0748348 | − | 0.115235i | ||||
\(382\) | −146.041 | − | 380.450i | −0.382306 | − | 0.995941i | ||||
\(383\) | 116.044 | − | 31.0940i | 0.302988 | − | 0.0811854i | −0.104122 | − | 0.994565i | \(-0.533203\pi\) |
0.407110 | + | 0.913379i | \(0.366537\pi\) | |||||||
\(384\) | −62.6918 | + | 31.9431i | −0.163260 | + | 0.0831851i | ||||
\(385\) | 44.6831 | + | 98.7973i | 0.116060 | + | 0.256616i | ||||
\(386\) | 106.262 | + | 54.1430i | 0.275289 | + | 0.140267i | ||||
\(387\) | −45.0533 | − | 428.653i | −0.116417 | − | 1.10763i | ||||
\(388\) | −123.399 | + | 99.9268i | −0.318039 | + | 0.257543i | ||||
\(389\) | −103.170 | − | 10.8437i | −0.265220 | − | 0.0278757i | −0.0290148 | − | 0.999579i | \(-0.509237\pi\) |
−0.236205 | + | 0.971703i | \(0.575904\pi\) | |||||||
\(390\) | −43.4190 | + | 19.3314i | −0.111331 | + | 0.0495676i | ||||
\(391\) | 2.60957 | + | 16.4762i | 0.00667409 | + | 0.0421386i | ||||
\(392\) | 373.702 | + | 161.161i | 0.953322 | + | 0.411124i | ||||
\(393\) | −196.466 | − | 100.104i | −0.499912 | − | 0.254718i | ||||
\(394\) | 243.641 | − | 108.476i | 0.618379 | − | 0.275320i | ||||
\(395\) | 332.420 | + | 215.876i | 0.841570 | + | 0.546522i | ||||
\(396\) | 31.9715 | + | 8.56674i | 0.0807361 | + | 0.0216332i | ||||
\(397\) | 166.076 | + | 134.486i | 0.418327 | + | 0.338755i | 0.815262 | − | 0.579092i | \(-0.196593\pi\) |
−0.396935 | + | 0.917847i | \(0.629926\pi\) | |||||||
\(398\) | −4.28407 | − | 8.40796i | −0.0107640 | − | 0.0211255i | ||||
\(399\) | 165.832 | + | 252.111i | 0.415618 | + | 0.631856i | ||||
\(400\) | −22.9456 | − | 70.6192i | −0.0573639 | − | 0.176548i | ||||
\(401\) | −59.7545 | − | 34.4993i | −0.149014 | − | 0.0860331i | 0.423639 | − | 0.905831i | \(-0.360752\pi\) |
−0.572653 | + | 0.819798i | \(0.694086\pi\) | |||||||
\(402\) | 45.5106 | − | 50.5446i | 0.113210 | − | 0.125733i | ||||
\(403\) | −113.839 | + | 92.1850i | −0.282479 | + | 0.228747i | ||||
\(404\) | 39.6285 | − | 48.9371i | 0.0980904 | − | 0.121132i | ||||
\(405\) | 92.3165 | − | 284.121i | 0.227942 | − | 0.701533i | ||||
\(406\) | −68.3885 | + | 14.9559i | −0.168445 | + | 0.0368372i | ||||
\(407\) | 5.56397 | + | 5.56397i | 0.0136707 | + | 0.0136707i | ||||
\(408\) | 316.081 | − | 33.2215i | 0.774709 | − | 0.0814252i | ||||
\(409\) | 283.490 | − | 163.673i | 0.693130 | − | 0.400179i | −0.111654 | − | 0.993747i | \(-0.535615\pi\) |
0.804783 | + | 0.593569i | \(0.202281\pi\) | |||||||
\(410\) | 416.612 | − | 24.7884i | 1.01613 | − | 0.0604595i | ||||
\(411\) | 110.922 | + | 64.0409i | 0.269883 | + | 0.155817i | ||||
\(412\) | 356.316 | − | 258.879i | 0.864846 | − | 0.628347i | ||||
\(413\) | −509.446 | + | 515.453i | −1.23352 | + | 1.24807i | ||||
\(414\) | 1.69949 | − | 5.23051i | 0.00410506 | − | 0.0126341i | ||||
\(415\) | −866.800 | + | 780.471i | −2.08868 | + | 1.88065i | ||||
\(416\) | 39.3863 | + | 102.605i | 0.0946786 | + | 0.246646i | ||||
\(417\) | 57.0818 | − | 46.2239i | 0.136887 | − | 0.110849i | ||||
\(418\) | −89.3422 | − | 18.9903i | −0.213737 | − | 0.0454313i | ||||
\(419\) | −330.942 | −0.789838 | −0.394919 | − | 0.918716i | \(-0.629227\pi\) | ||||
−0.394919 | + | 0.918716i | \(0.629227\pi\) | |||||||
\(420\) | 47.6263 | + | 143.707i | 0.113396 | + | 0.342160i | ||||
\(421\) | −274.407 | + | 538.554i | −0.651798 | + | 1.27923i | 0.294413 | + | 0.955678i | \(0.404876\pi\) |
−0.946212 | + | 0.323548i | \(0.895124\pi\) | |||||||
\(422\) | −0.159360 | + | 3.04076i | −0.000377630 | + | 0.00720560i | ||||
\(423\) | 143.499 | − | 55.0841i | 0.339241 | − | 0.130222i | ||||
\(424\) | 153.694 | + | 41.1821i | 0.362485 | + | 0.0971275i | ||||
\(425\) | 51.4603 | − | 981.921i | 0.121083 | − | 2.31040i | ||||
\(426\) | −62.9120 | + | 86.5910i | −0.147681 | + | 0.203265i | ||||
\(427\) | 439.378 | − | 25.6101i | 1.02899 | − | 0.0599768i | ||||
\(428\) | 76.7983 | − | 55.7972i | 0.179435 | − | 0.130367i | ||||
\(429\) | −3.40393 | + | 8.86754i | −0.00793457 | + | 0.0206703i | ||||
\(430\) | −62.3739 | + | 593.448i | −0.145056 | + | 1.38011i | ||||
\(431\) | 347.928 | + | 36.5687i | 0.807258 | + | 0.0848463i | 0.499162 | − | 0.866509i | \(-0.333641\pi\) |
0.308097 | + | 0.951355i | \(0.400308\pi\) | |||||||
\(432\) | −44.1162 | − | 16.9346i | −0.102121 | − | 0.0392005i | ||||
\(433\) | 353.153 | + | 486.073i | 0.815595 | + | 1.12257i | 0.990436 | + | 0.137973i | \(0.0440588\pi\) |
−0.174841 | + | 0.984597i | \(0.555941\pi\) | |||||||
\(434\) | −207.078 | − | 314.817i | −0.477138 | − | 0.725384i | ||||
\(435\) | −59.1506 | − | 42.9755i | −0.135978 | − | 0.0987942i | ||||
\(436\) | −36.5998 | − | 1.91811i | −0.0839445 | − | 0.00439934i | ||||
\(437\) | 4.86388 | − | 18.1522i | 0.0111301 | − | 0.0415383i | ||||
\(438\) | 24.0123 | + | 62.5542i | 0.0548226 | + | 0.142818i | ||||
\(439\) | −47.8196 | − | 2.50612i | −0.108928 | − | 0.00570870i | −0.00220614 | − | 0.999998i | \(-0.500702\pi\) |
−0.106722 | + | 0.994289i | \(0.534036\pi\) | |||||||
\(440\) | −114.633 | − | 58.4083i | −0.260529 | − | 0.132746i | ||||
\(441\) | −115.340 | − | 341.314i | −0.261543 | − | 0.773955i | ||||
\(442\) | − | 144.982i | − | 0.328015i | ||||||
\(443\) | 63.9115 | − | 300.680i | 0.144270 | − | 0.678736i | −0.845254 | − | 0.534365i | \(-0.820551\pi\) |
0.989524 | − | 0.144371i | \(-0.0461159\pi\) | |||||||
\(444\) | 6.91387 | + | 8.53792i | 0.0155718 | + | 0.0192296i | ||||
\(445\) | −586.968 | + | 225.316i | −1.31903 | + | 0.506328i | ||||
\(446\) | −23.2703 | − | 25.8443i | −0.0521756 | − | 0.0579468i | ||||
\(447\) | −196.442 | − | 63.8279i | −0.439468 | − | 0.142792i | ||||
\(448\) | −333.449 | + | 91.4454i | −0.744305 | + | 0.204119i | ||||
\(449\) | 440.410 | + | 606.173i | 0.980869 | + | 1.35005i | 0.936360 | + | 0.351042i | \(0.114173\pi\) |
0.0445096 | + | 0.999009i | \(0.485827\pi\) | |||||||
\(450\) | −162.085 | + | 280.739i | −0.360189 | + | 0.623865i | ||||
\(451\) | 55.3704 | − | 62.3763i | 0.122772 | − | 0.138307i | ||||
\(452\) | 36.6172 | + | 63.4229i | 0.0810116 | + | 0.140316i | ||||
\(453\) | −7.63499 | − | 72.6420i | −0.0168543 | − | 0.160358i | ||||
\(454\) | 270.209 | − | 270.209i | 0.595173 | − | 0.595173i | ||||
\(455\) | 189.420 | − | 41.4243i | 0.416307 | − | 0.0910425i | ||||
\(456\) | −340.518 | − | 110.641i | −0.746750 | − | 0.242634i | ||||
\(457\) | −29.2452 | − | 23.6823i | −0.0639938 | − | 0.0518212i | 0.596790 | − | 0.802398i | \(-0.296443\pi\) |
−0.660784 | + | 0.750576i | \(0.729776\pi\) | |||||||
\(458\) | −170.480 | − | 210.526i | −0.372228 | − | 0.459663i | ||||
\(459\) | −465.024 | − | 418.709i | −1.01312 | − | 0.912221i | ||||
\(460\) | 4.71411 | − | 8.16508i | 0.0102481 | − | 0.0177502i | ||||
\(461\) | −273.796 | + | 88.9616i | −0.593917 | + | 0.192975i | −0.590525 | − | 0.807019i | \(-0.701079\pi\) |
−0.00339115 | + | 0.999994i | \(0.501079\pi\) | |||||||
\(462\) | −21.8354 | − | 10.9650i | −0.0472628 | − | 0.0237337i | ||||
\(463\) | 640.186 | − | 326.191i | 1.38269 | − | 0.704516i | 0.404951 | − | 0.914338i | \(-0.367289\pi\) |
0.977740 | + | 0.209822i | \(0.0672885\pi\) | |||||||
\(464\) | 10.5995 | − | 13.0892i | 0.0228437 | − | 0.0282096i | ||||
\(465\) | 101.859 | − | 380.144i | 0.219052 | − | 0.817513i | ||||
\(466\) | 202.894 | − | 312.430i | 0.435396 | − | 0.670451i | ||||
\(467\) | 37.4228 | + | 84.0530i | 0.0801345 | + | 0.179985i | 0.949169 | − | 0.314766i | \(-0.101926\pi\) |
−0.869035 | + | 0.494751i | \(0.835259\pi\) | |||||||
\(468\) | 26.8707 | − | 52.7367i | 0.0574160 | − | 0.112685i | ||||
\(469\) | −223.521 | + | 164.408i | −0.476591 | + | 0.350550i | ||||
\(470\) | −210.181 | + | 33.2894i | −0.447194 | + | 0.0708285i | ||||
\(471\) | −160.801 | − | 361.166i | −0.341404 | − | 0.766806i | ||||
\(472\) | 89.8832 | − | 855.181i | 0.190430 | − | 1.81182i | ||||
\(473\) | 75.0485 | + | 92.6772i | 0.158665 | + | 0.195935i | ||||
\(474\) | −88.8272 | + | 9.33611i | −0.187399 | + | 0.0196964i | ||||
\(475\) | −502.885 | + | 986.967i | −1.05870 | + | 2.07782i | ||||
\(476\) | −459.565 | − | 45.5804i | −0.965473 | − | 0.0957572i | ||||
\(477\) | −63.9483 | − | 125.506i | −0.134064 | − | 0.263115i | ||||
\(478\) | 2.25894 | + | 8.43048i | 0.00472581 | + | 0.0176370i | ||||
\(479\) | 376.384 | − | 144.480i | 0.785771 | − | 0.301629i | 0.0677968 | − | 0.997699i | \(-0.478403\pi\) |
0.717974 | + | 0.696070i | \(0.245070\pi\) | |||||||
\(480\) | −247.641 | − | 160.820i | −0.515920 | − | 0.335042i | ||||
\(481\) | 11.8006 | − | 7.66340i | 0.0245335 | − | 0.0159322i | ||||
\(482\) | −251.149 | + | 81.6032i | −0.521056 | + | 0.169301i | ||||
\(483\) | 2.48804 | − | 4.36835i | 0.00515123 | − | 0.00904420i | ||||
\(484\) | 245.947 | − | 79.9130i | 0.508155 | − | 0.165109i | ||||
\(485\) | −510.083 | − | 195.802i | −1.05172 | − | 0.403716i | ||||
\(486\) | 114.622 | + | 298.600i | 0.235848 | + | 0.614404i | ||||
\(487\) | −73.2173 | − | 344.461i | −0.150344 | − | 0.707311i | −0.987148 | − | 0.159809i | \(-0.948912\pi\) |
0.836804 | − | 0.547502i | \(-0.184421\pi\) | |||||||
\(488\) | −388.078 | + | 349.427i | −0.795241 | + | 0.716039i | ||||
\(489\) | 226.552 | − | 226.552i | 0.463296 | − | 0.463296i | ||||
\(490\) | 57.9484 | + | 495.405i | 0.118262 | + | 1.01103i | ||||
\(491\) | −611.319 | −1.24505 | −0.622524 | − | 0.782601i | \(-0.713893\pi\) | ||||
−0.622524 | + | 0.782601i | \(0.713893\pi\) | |||||||
\(492\) | 85.9884 | − | 78.5322i | 0.174773 | − | 0.159618i | ||||
\(493\) | 193.152 | − | 111.516i | 0.391788 | − | 0.226199i | ||||
\(494\) | −66.4322 | + | 149.209i | −0.134478 | + | 0.302043i | ||||
\(495\) | 29.4777 | + | 110.012i | 0.0595510 | + | 0.222247i | ||||
\(496\) | 86.2225 | + | 28.0154i | 0.173836 | + | 0.0564827i | ||||
\(497\) | 322.778 | − | 294.074i | 0.649452 | − | 0.591699i | ||||
\(498\) | 41.1163 | − | 259.598i | 0.0825628 | − | 0.521281i | ||||
\(499\) | −64.2761 | − | 24.6733i | −0.128810 | − | 0.0494454i | 0.293109 | − | 0.956079i | \(-0.405310\pi\) |
−0.421919 | + | 0.906634i | \(0.638643\pi\) | |||||||
\(500\) | −89.9824 | + | 99.9356i | −0.179965 | + | 0.199871i | ||||
\(501\) | −33.6165 | + | 19.4085i | −0.0670988 | + | 0.0387395i | ||||
\(502\) | −110.790 | + | 521.228i | −0.220698 | + | 1.03830i | ||||
\(503\) | −481.197 | − | 245.182i | −0.956654 | − | 0.487440i | −0.0953024 | − | 0.995448i | \(-0.530382\pi\) |
−0.861352 | + | 0.508009i | \(0.830382\pi\) | |||||||
\(504\) | 359.865 | + | 230.711i | 0.714017 | + | 0.457761i | ||||
\(505\) | 214.010 | + | 33.8959i | 0.423783 | + | 0.0671206i | ||||
\(506\) | 0.393833 | + | 1.46980i | 0.000778326 | + | 0.00290475i | ||||
\(507\) | −167.676 | − | 108.890i | −0.330722 | − | 0.214773i | ||||
\(508\) | 9.43438 | − | 89.7621i | 0.0185716 | − | 0.176697i | ||||
\(509\) | 314.461 | + | 484.228i | 0.617802 | + | 0.951332i | 0.999633 | + | 0.0270999i | \(0.00862722\pi\) |
−0.381830 | + | 0.924232i | \(0.624706\pi\) | |||||||
\(510\) | 228.955 | + | 315.129i | 0.448931 | + | 0.617901i | ||||
\(511\) | −44.3437 | − | 269.733i | −0.0867783 | − | 0.527853i | ||||
\(512\) | 83.9463 | − | 115.542i | 0.163958 | − | 0.225668i | ||||
\(513\) | 286.724 | + | 643.994i | 0.558917 | + | 1.25535i | ||||
\(514\) | −275.613 | + | 223.187i | −0.536212 | + | 0.434216i | ||||
\(515\) | 1384.48 | + | 616.411i | 2.68831 | + | 1.19691i | ||||
\(516\) | 90.6836 | + | 139.641i | 0.175744 | + | 0.270621i | ||||
\(517\) | −24.9974 | + | 34.4059i | −0.0483508 | + | 0.0665492i | ||||
\(518\) | 16.6211 | + | 32.1535i | 0.0320872 | + | 0.0620725i | ||||
\(519\) | 198.180 | − | 198.180i | 0.381850 | − | 0.381850i | ||||
\(520\) | −144.781 | + | 178.790i | −0.278425 | + | 0.343827i | ||||
\(521\) | −398.279 | + | 613.295i | −0.764450 | + | 1.17715i | 0.215226 | + | 0.976564i | \(0.430951\pi\) |
−0.979676 | + | 0.200586i | \(0.935715\pi\) | |||||||
\(522\) | −73.4299 | + | 3.84830i | −0.140670 | + | 0.00737222i | ||||
\(523\) | 78.9231 | − | 371.304i | 0.150905 | − | 0.709950i | −0.836011 | − | 0.548713i | \(-0.815118\pi\) |
0.986916 | − | 0.161238i | \(-0.0515486\pi\) | |||||||
\(524\) | −380.158 | −0.725493 | ||||||||
\(525\) | −196.983 | + | 221.368i | −0.375206 | + | 0.421653i | ||||
\(526\) | −54.1084 | − | 341.627i | −0.102868 | − | 0.649481i | ||||
\(527\) | 932.981 | + | 755.513i | 1.77036 | + | 1.43361i | ||||
\(528\) | 5.75019 | − | 1.22224i | 0.0108905 | − | 0.00231485i | ||||
\(529\) | 517.134 | − | 109.920i | 0.977569 | − | 0.207789i | ||||
\(530\) | 50.4725 | + | 188.366i | 0.0952312 | + | 0.355408i | ||||
\(531\) | −615.846 | + | 447.438i | −1.15978 | + | 0.842633i | ||||
\(532\) | 452.078 | + | 257.486i | 0.849770 | + | 0.483996i | ||||
\(533\) | −88.5172 | − | 120.039i | −0.166073 | − | 0.225215i | ||||
\(534\) | 70.8384 | − | 122.696i | 0.132656 | − | 0.229767i | ||||
\(535\) | 298.403 | + | 132.857i | 0.557762 | + | 0.248332i | ||||
\(536\) | 85.2096 | − | 318.006i | 0.158973 | − | 0.593296i | ||||
\(537\) | 147.843 | − | 133.118i | 0.275312 | − | 0.247892i | ||||
\(538\) | −179.668 | + | 552.962i | −0.333956 | + | 1.02781i | ||||
\(539\) | 78.1969 | + | 61.8190i | 0.145078 | + | 0.114692i | ||||
\(540\) | 55.3257 | + | 349.313i | 0.102455 | + | 0.646876i | ||||
\(541\) | −130.923 | + | 615.944i | −0.242002 | + | 1.13853i | 0.674430 | + | 0.738338i | \(0.264389\pi\) |
−0.916432 | + | 0.400190i | \(0.868944\pi\) | |||||||
\(542\) | 297.401 | + | 515.114i | 0.548711 | + | 0.950395i | ||||
\(543\) | 35.3354 | − | 39.2439i | 0.0650743 | − | 0.0722724i | ||||
\(544\) | 755.421 | − | 490.576i | 1.38864 | − | 0.901795i | ||||
\(545\) | −57.2532 | − | 112.366i | −0.105052 | − | 0.206176i | ||||
\(546\) | −27.2970 | + | 34.1159i | −0.0499945 | + | 0.0624834i | ||||
\(547\) | 49.2648 | − | 49.2648i | 0.0900636 | − | 0.0900636i | −0.660640 | − | 0.750703i | \(-0.729715\pi\) |
0.750703 | + | 0.660640i | \(0.229715\pi\) | |||||||
\(548\) | 220.521 | + | 11.5570i | 0.402411 | + | 0.0210895i | ||||
\(549\) | 459.759 | + | 48.3226i | 0.837448 | + | 0.0880193i | ||||
\(550\) | −4.69409 | − | 89.5685i | −0.00853471 | − | 0.162852i | ||||
\(551\) | −249.880 | + | 26.2635i | −0.453503 | + | 0.0476651i | ||||
\(552\) | 0.933103 | + | 5.89138i | 0.00169040 | + | 0.0106728i | ||||
\(553\) | 362.599 | + | 35.9631i | 0.655694 | + | 0.0650328i | ||||
\(554\) | 297.483 | − | 409.451i | 0.536974 | − | 0.739081i | ||||
\(555\) | −13.5475 | + | 35.2923i | −0.0244098 | + | 0.0635898i | ||||
\(556\) | 51.5071 | − | 115.687i | 0.0926387 | − | 0.208070i | ||||
\(557\) | 1.46059 | + | 27.8698i | 0.00262225 | + | 0.0500355i | 0.999627 | − | 0.0273018i | \(-0.00869151\pi\) |
−0.997005 | + | 0.0773373i | \(0.975358\pi\) | |||||||
\(558\) | −160.985 | − | 361.577i | −0.288503 | − | 0.647988i | ||||
\(559\) | 190.005 | − | 96.8122i | 0.339901 | − | 0.173188i | ||||
\(560\) | −85.3516 | − | 84.3569i | −0.152414 | − | 0.150637i | ||||
\(561\) | 76.8870 | + | 12.1777i | 0.137054 | + | 0.0217071i | ||||
\(562\) | −14.1921 | + | 270.802i | −0.0252529 | + | 0.481854i | ||||
\(563\) | 1.42654 | + | 27.2200i | 0.00253381 | + | 0.0483481i | 0.999604 | − | 0.0281466i | \(-0.00896052\pi\) |
−0.997070 | + | 0.0764946i | \(0.975627\pi\) | |||||||
\(564\) | −39.7316 | + | 44.1264i | −0.0704461 | + | 0.0782384i | ||||
\(565\) | −125.998 | + | 218.235i | −0.223006 | + | 0.386257i | ||||
\(566\) | 32.7072 | + | 100.663i | 0.0577866 | + | 0.177849i | ||||
\(567\) | −44.5513 | − | 270.996i | −0.0785737 | − | 0.477946i | ||||
\(568\) | −81.0473 | + | 511.712i | −0.142689 | + | 0.900902i | ||||
\(569\) | −47.2913 | + | 42.5813i | −0.0831130 | + | 0.0748353i | −0.709640 | − | 0.704564i | \(-0.751142\pi\) |
0.626527 | + | 0.779400i | \(0.284476\pi\) | |||||||
\(570\) | −91.2346 | − | 429.225i | −0.160061 | − | 0.753027i | ||||
\(571\) | 179.846 | − | 671.195i | 0.314967 | − | 1.17547i | −0.609053 | − | 0.793130i | \(-0.708450\pi\) |
0.924020 | − | 0.382344i | \(-0.124883\pi\) | |||||||
\(572\) | 1.71177 | + | 16.2864i | 0.00299260 | + | 0.0284727i | ||||
\(573\) | − | 391.269i | − | 0.682844i | ||||||
\(574\) | 329.758 | − | 196.114i | 0.574491 | − | 0.341663i | ||||
\(575\) | 18.4538 | 0.0320935 | ||||||||
\(576\) | −361.186 | + | 37.9622i | −0.627059 | + | 0.0659065i | ||||
\(577\) | −743.929 | − | 199.335i | −1.28931 | − | 0.345468i | −0.451909 | − | 0.892064i | \(-0.649257\pi\) |
−0.837397 | + | 0.546596i | \(0.815924\pi\) | |||||||
\(578\) | −784.356 | + | 166.720i | −1.35702 | + | 0.288443i | ||||
\(579\) | 76.6191 | + | 85.0941i | 0.132330 | + | 0.146967i | ||||
\(580\) | −124.503 | − | 19.7194i | −0.214661 | − | 0.0339989i | ||||
\(581\) | −378.391 | + | 1003.28i | −0.651276 | + | 1.72682i | ||||
\(582\) | 117.093 | − | 38.0458i | 0.201191 | − | 0.0653708i | ||||
\(583\) | 33.7514 | + | 19.4864i | 0.0578926 | + | 0.0334243i | ||||
\(584\) | 241.029 | + | 217.023i | 0.412720 | + | 0.371615i | ||||
\(585\) | 203.383 | − | 10.6589i | 0.347664 | − | 0.0182203i | ||||
\(586\) | 128.342 | + | 6.72610i | 0.219013 | + | 0.0114780i | ||||
\(587\) | −125.490 | + | 792.310i | −0.213781 | + | 1.34976i | 0.614264 | + | 0.789100i | \(0.289453\pi\) |
−0.828046 | + | 0.560661i | \(0.810547\pi\) | |||||||
\(588\) | 99.5589 | + | 97.2516i | 0.169318 | + | 0.165394i | ||||
\(589\) | −613.997 | − | 1205.04i | −1.04244 | − | 2.04590i | ||||
\(590\) | 962.767 | − | 428.651i | 1.63181 | − | 0.726528i | ||||
\(591\) | 255.715 | − | 13.4014i | 0.432681 | − | 0.0226759i | ||||
\(592\) | −7.95553 | − | 3.54203i | −0.0134384 | − | 0.00598316i | ||||
\(593\) | 588.441 | + | 225.881i | 0.992312 | + | 0.380913i | 0.799725 | − | 0.600367i | \(-0.204979\pi\) |
0.192587 | + | 0.981280i | \(0.438312\pi\) | |||||||
\(594\) | −46.1784 | − | 33.5505i | −0.0777414 | − | 0.0564824i | ||||
\(595\) | −654.844 | − | 1447.90i | −1.10058 | − | 2.43345i | ||||
\(596\) | −351.728 | + | 55.7082i | −0.590148 | + | 0.0934702i | ||||
\(597\) | −0.947054 | − | 9.01061i | −0.00158635 | − | 0.0150932i | ||||
\(598\) | 2.71727 | − | 0.142406i | 0.00454393 | − | 0.000238137i | ||||
\(599\) | 1.90774 | − | 18.1509i | 0.00318488 | − | 0.0303021i | −0.992814 | − | 0.119667i | \(-0.961817\pi\) |
0.995999 | + | 0.0893653i | \(0.0284839\pi\) | |||||||
\(600\) | 18.4006 | − | 351.105i | 0.0306677 | − | 0.585175i | ||||
\(601\) | 128.420 | + | 128.420i | 0.213678 | + | 0.213678i | 0.805828 | − | 0.592150i | \(-0.201721\pi\) |
−0.592150 | + | 0.805828i | \(0.701721\pi\) | |||||||
\(602\) | 199.585 | + | 510.965i | 0.331537 | + | 0.848778i | ||||
\(603\) | −259.683 | + | 132.315i | −0.430652 | + | 0.219428i | ||||
\(604\) | −68.5870 | − | 105.615i | −0.113555 | − | 0.174859i | ||||
\(605\) | 661.282 | + | 595.421i | 1.09303 | + | 0.984168i | ||||
\(606\) | −42.2845 | + | 24.4130i | −0.0697764 | + | 0.0402854i | ||||
\(607\) | −869.404 | − | 184.797i | −1.43230 | − | 0.304444i | −0.574530 | − | 0.818484i | \(-0.694815\pi\) |
−0.857766 | + | 0.514040i | \(0.828148\pi\) | |||||||
\(608\) | −1002.23 | + | 158.738i | −1.64840 | + | 0.261082i | ||||
\(609\) | −66.4467 | − | 10.1252i | −0.109108 | − | 0.0166260i | ||||
\(610\) | −608.693 | − | 197.776i | −0.997858 | − | 0.324224i | ||||
\(611\) | 50.8861 | + | 56.5147i | 0.0832833 | + | 0.0924955i | ||||
\(612\) | −468.552 | − | 125.548i | −0.765608 | − | 0.205144i | ||||
\(613\) | 450.134 | − | 1011.02i | 0.734313 | − | 1.64929i | −0.0259386 | − | 0.999664i | \(-0.508257\pi\) |
0.760251 | − | 0.649629i | \(-0.225076\pi\) | |||||||
\(614\) | 254.459 | + | 146.912i | 0.414429 | + | 0.239271i | ||||
\(615\) | 381.963 | + | 121.129i | 0.621079 | + | 0.196957i | ||||
\(616\) | −118.270 | + | 0.693241i | −0.191998 | + | 0.00112539i | ||||
\(617\) | −513.431 | − | 706.677i | −0.832141 | − | 1.14534i | −0.987521 | − | 0.157488i | \(-0.949660\pi\) |
0.155380 | − | 0.987855i | \(-0.450340\pi\) | |||||||
\(618\) | −329.865 | + | 88.3871i | −0.533763 | + | 0.143021i | ||||
\(619\) | 118.952 | + | 559.626i | 0.192168 | + | 0.904081i | 0.963513 | + | 0.267663i | \(0.0862513\pi\) |
−0.771344 | + | 0.636418i | \(0.780415\pi\) | |||||||
\(620\) | −141.072 | − | 663.693i | −0.227536 | − | 1.07047i | ||||
\(621\) | 7.39072 | − | 9.12677i | 0.0119013 | − | 0.0146969i | ||||
\(622\) | −156.813 | + | 24.8367i | −0.252111 | + | 0.0399305i | ||||
\(623\) | −384.226 | + | 431.789i | −0.616734 | + | 0.693080i | ||||
\(624\) | − | 10.5121i | − | 0.0168463i | ||||||
\(625\) | 353.884 | + | 75.2204i | 0.566215 | + | 0.120353i | ||||
\(626\) | −34.2317 | − | 653.181i | −0.0546833 | − | 1.04342i | ||||
\(627\) | −73.5486 | − | 47.7630i | −0.117302 | − | 0.0761770i | ||||
\(628\) | −529.710 | − | 428.951i | −0.843487 | − | 0.683043i | ||||
\(629\) | −81.5416 | − | 81.5416i | −0.129637 | − | 0.129637i | ||||
\(630\) | −24.3520 | + | 523.339i | −0.0386539 | + | 0.830696i | ||||
\(631\) | 449.211 | + | 326.371i | 0.711904 | + | 0.517228i | 0.883787 | − | 0.467889i | \(-0.154985\pi\) |
−0.171884 | + | 0.985117i | \(0.554985\pi\) | |||||||
\(632\) | −362.588 | + | 235.468i | −0.573716 | + | 0.372575i | ||||
\(633\) | −1.18911 | + | 2.67079i | −0.00187853 | + | 0.00421925i | ||||
\(634\) | 345.287 | + | 426.394i | 0.544617 | + | 0.672546i | ||||
\(635\) | 283.718 | − | 126.320i | 0.446801 | − | 0.198928i | ||||
\(636\) | 44.0218 | + | 31.9837i | 0.0692167 | + | 0.0502889i | ||||
\(637\) | 137.201 | − | 113.792i | 0.215386 | − | 0.178637i | ||||
\(638\) | 16.4590 | − | 11.9582i | 0.0257979 | − | 0.0187433i | ||||
\(639\) | 384.652 | − | 249.796i | 0.601959 | − | 0.390917i | ||||
\(640\) | −415.128 | − | 43.6317i | −0.648638 | − | 0.0681746i | ||||
\(641\) | −516.970 | + | 796.064i | −0.806506 | + | 1.24191i | 0.160470 | + | 0.987041i | \(0.448699\pi\) |
−0.966976 | + | 0.254869i | \(0.917968\pi\) | |||||||
\(642\) | −71.0972 | + | 19.0504i | −0.110743 | + | 0.0296736i | ||||
\(643\) | 22.2730 | − | 140.626i | 0.0346393 | − | 0.218704i | −0.964297 | − | 0.264825i | \(-0.914686\pi\) |
0.998936 | + | 0.0461209i | \(0.0146859\pi\) | |||||||
\(644\) | 0.402873 | − | 8.65797i | 0.000625579 | − | 0.0134441i | ||||
\(645\) | −260.103 | + | 510.481i | −0.403261 | + | 0.791444i | ||||
\(646\) | 1309.34 | + | 278.308i | 2.02684 | + | 0.430817i | ||||
\(647\) | 494.990 | + | 857.348i | 0.765054 | + | 1.32511i | 0.940218 | + | 0.340574i | \(0.110621\pi\) |
−0.175164 | + | 0.984539i | \(0.556045\pi\) | |||||||
\(648\) | 242.157 | + | 218.039i | 0.373699 | + | 0.336480i | ||||
\(649\) | 75.4783 | − | 196.628i | 0.116299 | − | 0.302970i | ||||
\(650\) | −158.410 | − | 25.0897i | −0.243708 | − | 0.0385996i | ||||
\(651\) | −77.2940 | − | 353.440i | −0.118731 | − | 0.542919i | ||||
\(652\) | 170.696 | − | 525.349i | 0.261804 | − | 0.805750i | ||||
\(653\) | 1107.11 | − | 296.648i | 1.69542 | − | 0.454285i | 0.723638 | − | 0.690180i | \(-0.242469\pi\) |
0.971779 | + | 0.235895i | \(0.0758021\pi\) | |||||||
\(654\) | 25.9609 | + | 11.5585i | 0.0396955 | + | 0.0176736i | ||||
\(655\) | −654.053 | − | 1132.85i | −0.998555 | − | 1.72955i | ||||
\(656\) | −32.4702 | + | 86.4088i | −0.0494972 | + | 0.131721i | ||||
\(657\) | − | 287.121i | − | 0.437019i | ||||||
\(658\) | −157.589 | + | 115.913i | −0.239497 | + | 0.176159i | ||||
\(659\) | 235.000 | + | 235.000i | 0.356601 | + | 0.356601i | 0.862558 | − | 0.505958i | \(-0.168861\pi\) |
−0.505958 | + | 0.862558i | \(0.668861\pi\) | |||||||
\(660\) | −29.4400 | − | 32.6964i | −0.0446060 | − | 0.0495400i | ||||
\(661\) | −1190.93 | + | 253.140i | −1.80171 | + | 0.382965i | −0.981859 | − | 0.189615i | \(-0.939276\pi\) |
−0.819849 | + | 0.572580i | \(0.805943\pi\) | |||||||
\(662\) | −488.021 | + | 187.334i | −0.737192 | + | 0.282981i | ||||
\(663\) | 49.8856 | − | 129.956i | 0.0752422 | − | 0.196013i | ||||
\(664\) | −393.147 | − | 1209.98i | −0.592088 | − | 1.82226i | ||||
\(665\) | 10.4930 | + | 1790.17i | 0.0157790 | + | 2.69198i | ||||
\(666\) | 11.7484 | + | 36.1578i | 0.0176402 | + | 0.0542909i | ||||
\(667\) | 2.27976 | + | 3.51053i | 0.00341793 | + | 0.00526316i | ||||
\(668\) | −36.4493 | + | 56.1271i | −0.0545649 | + | 0.0840225i | ||||
\(669\) | −11.9660 | − | 31.1726i | −0.0178865 | − | 0.0465958i | ||||
\(670\) | 389.747 | − | 104.432i | 0.581712 | − | 0.155869i | ||||
\(671\) | −113.966 | + | 58.0686i | −0.169845 | + | 0.0865403i | ||||
\(672\) | −270.124 | − | 26.7913i | −0.401970 | − | 0.0398680i | ||||
\(673\) | −637.472 | − | 324.808i | −0.947209 | − | 0.482627i | −0.0890592 | − | 0.996026i | \(-0.528386\pi\) |
−0.858150 | + | 0.513399i | \(0.828386\pi\) | |||||||
\(674\) | −32.7729 | − | 311.813i | −0.0486245 | − | 0.462631i | ||||
\(675\) | −537.963 | + | 435.634i | −0.796983 | + | 0.645384i | ||||
\(676\) | −342.809 | − | 36.0307i | −0.507115 | − | 0.0532999i | ||||
\(677\) | −688.448 | + | 306.517i | −1.01691 | + | 0.452757i | −0.846371 | − | 0.532594i | \(-0.821217\pi\) |
−0.170539 | + | 0.985351i | \(0.554551\pi\) | |||||||
\(678\) | −8.88306 | − | 56.0854i | −0.0131019 | − | 0.0827219i | ||||
\(679\) | −499.211 | + | 55.4295i | −0.735215 | + | 0.0816340i | ||||
\(680\) | 1679.98 | + | 855.990i | 2.47055 | + | 1.25881i | ||||
\(681\) | 335.178 | − | 149.231i | 0.492184 | − | 0.219135i | ||||
\(682\) | 91.8419 | + | 59.6428i | 0.134665 | + | 0.0874528i | ||||
\(683\) | 554.470 | + | 148.570i | 0.811815 | + | 0.217525i | 0.640765 | − | 0.767737i | \(-0.278617\pi\) |
0.171050 | + | 0.985262i | \(0.445284\pi\) | |||||||
\(684\) | 424.684 | + | 343.902i | 0.620883 | + | 0.502781i | ||||
\(685\) | 344.963 | + | 677.027i | 0.503595 | + | 0.988361i | ||||
\(686\) | 256.457 | + | 380.105i | 0.373843 | + | 0.554089i | ||||
\(687\) | −80.3740 | − | 247.366i | −0.116993 | − | 0.360067i | ||||
\(688\) | −114.298 | − | 65.9902i | −0.166131 | − | 0.0959159i | ||||
\(689\) | 46.6320 | − | 51.7901i | 0.0676807 | − | 0.0751671i | ||||
\(690\) | −5.68129 | + | 4.60062i | −0.00823375 | + | 0.00666756i | ||||
\(691\) | 803.434 | − | 992.159i | 1.16271 | − | 1.43583i | 0.283777 | − | 0.958890i | \(-0.408412\pi\) |
0.878936 | − | 0.476940i | \(-0.158254\pi\) | |||||||
\(692\) | 149.320 | − | 459.559i | 0.215780 | − | 0.664102i | ||||
\(693\) | 70.5141 | + | 77.3966i | 0.101752 | + | 0.111683i | ||||
\(694\) | 343.143 | + | 343.143i | 0.494443 | + | 0.494443i | ||||
\(695\) | 433.358 | − | 45.5478i | 0.623537 | − | 0.0655364i | ||||
\(696\) | 69.0652 | − | 39.8748i | 0.0992316 | − | 0.0572914i | ||||
\(697\) | −811.469 | + | 914.143i | −1.16423 | + | 1.31154i | ||||
\(698\) | 165.289 | + | 95.4297i | 0.236804 | + | 0.136719i | ||||
\(699\) | 289.367 | − | 210.238i | 0.413973 | − | 0.300769i | ||||
\(700\) | −129.331 | + | 494.241i | −0.184759 | + | 0.706059i | ||||
\(701\) | 210.618 | − | 648.215i | 0.300453 | − | 0.924701i | −0.680881 | − | 0.732394i | \(-0.738403\pi\) |
0.981335 | − | 0.192307i | \(-0.0615969\pi\) | |||||||
\(702\) | −75.8520 | + | 68.2975i | −0.108051 | + | 0.0972898i | ||||
\(703\) | 46.5557 | + | 121.282i | 0.0662244 | + | 0.172520i | ||||
\(704\) | 78.0903 | − | 63.2363i | 0.110924 | − | 0.0898243i | ||||
\(705\) | −199.852 | − | 42.4799i | −0.283478 | − | 0.0602551i | ||||
\(706\) | 80.0597 | 0.113399 | ||||||||
\(707\) | 189.078 | − | 62.6629i | 0.267438 | − | 0.0886321i | ||||
\(708\) | 133.502 | − | 262.013i | 0.188563 | − | 0.370075i | ||||
\(709\) | 28.5014 | − | 543.840i | 0.0401995 | − | 0.767052i | −0.901946 | − | 0.431848i | \(-0.857862\pi\) |
0.942146 | − | 0.335203i | \(-0.108805\pi\) | |||||||
\(710\) | −592.795 | + | 227.553i | −0.834923 | + | 0.320497i | ||||
\(711\) | 369.689 | + | 99.0579i | 0.519957 | + | 0.139322i | ||||
\(712\) | 35.8914 | − | 684.848i | 0.0504092 | − | 0.961865i | ||||
\(713\) | −13.2435 | + | 18.2281i | −0.0185743 | + | 0.0255653i | ||||
\(714\) | 320.004 | + | 160.695i | 0.448186 | + | 0.225063i | ||||
\(715\) | −45.5876 | + | 33.1213i | −0.0637589 | + | 0.0463236i | ||||
\(716\) | 122.918 | − | 320.212i | 0.171673 | − | 0.447223i | ||||
\(717\) | −0.875938 | + | 8.33399i | −0.00122167 | + | 0.0116234i | ||||
\(718\) | 419.577 | + | 44.0993i | 0.584369 | + | 0.0614197i | ||||
\(719\) | −59.6147 | − | 22.8839i | −0.0829134 | − | 0.0318275i | 0.316558 | − | 0.948573i | \(-0.397473\pi\) |
−0.399471 | + | 0.916746i | \(0.630806\pi\) | |||||||
\(720\) | −74.0893 | − | 101.975i | −0.102902 | − | 0.141632i | ||||
\(721\) | 1390.84 | − | 81.0680i | 1.92904 | − | 0.112438i | ||||
\(722\) | −829.558 | − | 602.709i | −1.14897 | − | 0.834777i | ||||
\(723\) | −253.198 | − | 13.2695i | −0.350204 | − | 0.0183534i | ||||
\(724\) | 23.5643 | − | 87.9430i | 0.0325473 | − | 0.121468i | ||||
\(725\) | −88.4189 | − | 230.339i | −0.121957 | − | 0.317709i | ||||
\(726\) | −200.241 | − | 10.4942i | −0.275815 | − | 0.0144548i | ||||
\(727\) | −1093.32 | − | 557.074i | −1.50388 | − | 0.766265i | −0.508389 | − | 0.861128i | \(-0.669759\pi\) |
−0.995490 | + | 0.0948631i | \(0.969759\pi\) | |||||||
\(728\) | −42.7586 | + | 207.126i | −0.0587344 | + | 0.284513i | ||||
\(729\) | − | 46.0076i | − | 0.0631105i | ||||||
\(730\) | −82.6459 | + | 388.818i | −0.113214 | + | 0.532628i | ||||
\(731\) | −1099.86 | − | 1358.21i | −1.50459 | − | 1.85802i | ||||
\(732\) | −166.723 | + | 63.9990i | −0.227764 | + | 0.0874303i | ||||
\(733\) | 399.042 | + | 443.182i | 0.544396 | + | 0.604613i | 0.951076 | − | 0.308958i | \(-0.0999801\pi\) |
−0.406680 | + | 0.913571i | \(0.633313\pi\) | |||||||
\(734\) | 87.6088 | + | 28.4658i | 0.119358 | + | 0.0387818i | ||||
\(735\) | −118.516 | + | 464.000i | −0.161247 | + | 0.631292i | ||||
\(736\) | 9.93641 | + | 13.6763i | 0.0135006 | + | 0.0185819i | ||||
\(737\) | 40.3191 | − | 69.8348i | 0.0547071 | − | 0.0947554i | ||||
\(738\) | 375.195 | − | 147.076i | 0.508394 | − | 0.199290i | ||||
\(739\) | 124.911 | + | 216.353i | 0.169027 | + | 0.292764i | 0.938078 | − | 0.346424i | \(-0.112604\pi\) |
−0.769051 | + | 0.639188i | \(0.779271\pi\) | |||||||
\(740\) | 6.81274 | + | 64.8189i | 0.00920641 | + | 0.0875931i | ||||
\(741\) | −110.887 | + | 110.887i | −0.149645 | + | 0.149645i | ||||
\(742\) | 120.736 | + | 132.520i | 0.162717 | + | 0.178599i | ||||
\(743\) | 12.9898 | + | 4.22063i | 0.0174829 | + | 0.00568053i | 0.317745 | − | 0.948176i | \(-0.397074\pi\) |
−0.300263 | + | 0.953857i | \(0.597074\pi\) | |||||||
\(744\) | 333.606 | + | 270.148i | 0.448395 | + | 0.363103i | ||||
\(745\) | −771.148 | − | 952.288i | −1.03510 | − | 1.27824i | ||||
\(746\) | −85.9120 | − | 77.3555i | −0.115164 | − | 0.103694i | ||||
\(747\) | −563.135 | + | 975.379i | −0.753863 | + | 1.30573i | ||||
\(748\) | 127.643 | − | 41.4739i | 0.170646 | − | 0.0554464i | ||||
\(749\) | 299.773 | − | 17.4729i | 0.400231 | − | 0.0233283i | ||||
\(750\) | 92.9057 | − | 47.3378i | 0.123874 | − | 0.0631171i | ||||
\(751\) | 290.267 | − | 358.450i | 0.386507 | − | 0.477296i | −0.546343 | − | 0.837562i | \(-0.683980\pi\) |
0.932850 | + | 0.360265i | \(0.117314\pi\) | |||||||
\(752\) | 12.1818 | − | 45.4630i | 0.0161992 | − | 0.0604561i | ||||
\(753\) | −278.652 | + | 429.087i | −0.370056 | + | 0.569836i | ||||
\(754\) | −14.7970 | − | 33.2346i | −0.0196246 | − | 0.0440777i | ||||
\(755\) | 196.724 | − | 386.093i | 0.260562 | − | 0.511382i | ||||
\(756\) | 192.642 | + | 261.907i | 0.254818 | + | 0.346438i | ||||
\(757\) | −440.500 | + | 69.7683i | −0.581902 | + | 0.0921642i | −0.440444 | − | 0.897780i | \(-0.645179\pi\) |
−0.141458 | + | 0.989944i | \(0.545179\pi\) | |||||||
\(758\) | −114.421 | − | 256.994i | −0.150951 | − | 0.339042i | ||||
\(759\) | −0.152715 | + | 1.45298i | −0.000201205 | + | 0.00191434i | ||||
\(760\) | −1336.73 | − | 1650.72i | −1.75885 | − | 2.17200i | ||||
\(761\) | −861.313 | + | 90.5276i | −1.13182 | + | 0.118959i | −0.651864 | − | 0.758336i | \(-0.726013\pi\) |
−0.479953 | + | 0.877294i | \(0.659346\pi\) | |||||||
\(762\) | −31.7717 | + | 62.3554i | −0.0416951 | + | 0.0818312i | ||||
\(763\) | −94.1900 | − | 67.5931i | −0.123447 | − | 0.0885886i | ||||
\(764\) | −306.254 | − | 601.057i | −0.400856 | − | 0.786724i | ||||
\(765\) | −432.005 | − | 1612.26i | −0.564712 | − | 2.10754i | ||||
\(766\) | −149.936 | + | 57.5550i | −0.195739 | + | 0.0751371i | ||||
\(767\) | −315.862 | − | 205.123i | −0.411814 | − | 0.267435i | ||||
\(768\) | 291.568 | − | 189.347i | 0.379646 | − | 0.246545i | ||||
\(769\) | 697.976 | − | 226.786i | 0.907642 | − | 0.294911i | 0.182254 | − | 0.983251i | \(-0.441661\pi\) |
0.725387 | + | 0.688341i | \(0.241661\pi\) | |||||||
\(770\) | −73.2117 | − | 125.107i | −0.0950801 | − | 0.162477i | ||||
\(771\) | −323.843 | + | 105.223i | −0.420029 | + | 0.136476i | ||||
\(772\) | 184.305 | + | 70.7480i | 0.238737 | + | 0.0916425i | ||||
\(773\) | −534.423 | − | 1392.22i | −0.691363 | − | 1.80106i | −0.591886 | − | 0.806022i | \(-0.701617\pi\) |
−0.0994765 | − | 0.995040i | \(-0.531717\pi\) | |||||||
\(774\) | 119.797 | + | 563.599i | 0.154776 | + | 0.728164i | ||||
\(775\) | 986.942 | − | 888.647i | 1.27347 | − | 1.14664i | ||||
\(776\) | 421.406 | − | 421.406i | 0.543049 | − | 0.543049i | ||||
\(777\) | 3.83513 | + | 34.5401i | 0.00493582 | + | 0.0444532i | ||||
\(778\) | 138.680 | 0.178252 | ||||||||
\(779\) | 1253.99 | − | 568.971i | 1.60975 | − | 0.730386i | ||||
\(780\) | −68.1349 | + | 39.3377i | −0.0873524 | + | 0.0504330i | ||||
\(781\) | −51.6141 | + | 115.927i | −0.0660872 | + | 0.148434i | ||||
\(782\) | −5.77174 | − | 21.5404i | −0.00738074 | − | 0.0275453i | ||||
\(783\) | −149.332 | − | 48.5208i | −0.190717 | − | 0.0619679i | ||||
\(784\) | −105.312 | − | 32.8583i | −0.134327 | − | 0.0419111i | ||||
\(785\) | 366.899 | − | 2316.51i | 0.467387 | − | 2.95097i | ||||
\(786\) | 275.189 | + | 105.635i | 0.350113 | + | 0.134396i | ||||
\(787\) | −745.540 | + | 828.006i | −0.947319 | + | 1.05210i | 0.0512528 | + | 0.998686i | \(0.483679\pi\) |
−0.998572 | + | 0.0534190i | \(0.982988\pi\) | |||||||
\(788\) | 382.332 | − | 220.740i | 0.485193 | − | 0.280127i | ||||
\(789\) | 69.0465 | − | 324.838i | 0.0875114 | − | 0.411709i | ||||
\(790\) | −472.118 | − | 240.556i | −0.597617 | − | 0.304501i | ||||
\(791\) | −10.7679 | + | 231.409i | −0.0136131 | + | 0.292553i | ||||
\(792\) | −122.700 | − | 19.4338i | −0.154924 | − | 0.0245376i | ||||
\(793\) | 59.1975 | + | 220.928i | 0.0746500 | + | 0.278598i | ||||
\(794\) | −239.590 | − | 155.592i | −0.301751 | − | 0.195959i | ||||
\(795\) | −19.5715 | + | 186.210i | −0.0246182 | + | 0.234227i | ||||
\(796\) | −8.50761 | − | 13.1006i | −0.0106880 | − | 0.0164580i | ||||
\(797\) | 212.079 | + | 291.902i | 0.266097 | + | 0.366251i | 0.921067 | − | 0.389404i | \(-0.127319\pi\) |
−0.654970 | + | 0.755655i | \(0.727319\pi\) | |||||||
\(798\) | −255.702 | − | 312.008i | −0.320428 | − | 0.390988i | ||||
\(799\) | 366.344 | − | 504.229i | 0.458503 | − | 0.631075i | ||||
\(800\) | −405.284 | − | 910.283i | −0.506605 | − | 1.13785i | ||||
\(801\) | −471.805 | + | 382.060i | −0.589020 | + | 0.476979i | ||||
\(802\) | 84.2643 | + | 37.5169i | 0.105068 | + | 0.0467791i | ||||
\(803\) | 43.2666 | + | 66.6247i | 0.0538812 | + | 0.0829698i | ||||
\(804\) | 66.1774 | − | 91.0853i | 0.0823102 | − | 0.113290i | ||||
\(805\) | 26.4935 | − | 13.6953i | 0.0329112 | − | 0.0170128i | ||||
\(806\) | 138.467 | − | 138.467i | 0.171796 | − | 0.171796i | ||||
\(807\) | −351.311 | + | 433.832i | −0.435329 | + | 0.537587i | ||||
\(808\) | −128.721 | + | 198.213i | −0.159308 | + | 0.245313i | ||||
\(809\) | −452.424 | + | 23.7105i | −0.559238 | + | 0.0293084i | −0.329862 | − | 0.944029i | \(-0.607002\pi\) |
−0.229377 | + | 0.973338i | \(0.573669\pi\) | |||||||
\(810\) | −83.0327 | + | 390.638i | −0.102510 | + | 0.482270i | ||||
\(811\) | −976.447 | −1.20400 | −0.602002 | − | 0.798495i | \(-0.705630\pi\) | ||||
−0.602002 | + | 0.798495i | \(0.705630\pi\) | |||||||
\(812\) | −109.999 | + | 36.4550i | −0.135467 | + | 0.0448953i | ||||
\(813\) | 89.3379 | + | 564.057i | 0.109887 | + | 0.693798i | ||||
\(814\) | −8.17478 | − | 6.61981i | −0.0100427 | − | 0.00813244i | ||||
\(815\) | 1859.19 | − | 395.184i | 2.28122 | − | 0.484888i | ||||
\(816\) | −84.2707 | + | 17.9123i | −0.103273 | + | 0.0219513i | ||||
\(817\) | 509.578 | + | 1901.77i | 0.623719 | + | 2.32775i | ||||
\(818\) | −354.029 | + | 257.217i | −0.432798 | + | 0.314446i | ||||
\(819\) | 161.591 | − | 94.5620i | 0.197303 | − | 0.115460i | ||||
\(820\) | 681.571 | − | 112.895i | 0.831184 | − | 0.137677i | ||||
\(821\) | −563.556 | + | 976.108i | −0.686427 | + | 1.18893i | 0.286559 | + | 0.958062i | \(0.407488\pi\) |
−0.972986 | + | 0.230864i | \(0.925845\pi\) | |||||||
\(822\) | −156.420 | − | 69.6425i | −0.190292 | − | 0.0847232i | ||||
\(823\) | −123.750 | + | 461.841i | −0.150364 | + | 0.561167i | 0.849094 | + | 0.528242i | \(0.177149\pi\) |
−0.999458 | + | 0.0329246i | \(0.989518\pi\) | |||||||
\(824\) | −1228.45 | + | 1106.10i | −1.49084 | + | 1.34235i | ||||
\(825\) | 26.6112 | − | 81.9007i | 0.0322560 | − | 0.0992736i | ||||
\(826\) | 605.280 | − | 756.482i | 0.732785 | − | 0.915838i | ||||
\(827\) | 37.1773 | + | 234.728i | 0.0449544 | + | 0.283831i | 0.999917 | − | 0.0128958i | \(-0.00410497\pi\) |
−0.954962 | + | 0.296727i | \(0.904105\pi\) | |||||||
\(828\) | 1.89280 | − | 8.90494i | 0.00228600 | − | 0.0107548i | ||||
\(829\) | 511.544 | + | 886.021i | 0.617062 | + | 1.06878i | 0.990019 | + | 0.140934i | \(0.0450105\pi\) |
−0.372957 | + | 0.927849i | \(0.621656\pi\) | |||||||
\(830\) | 1043.35 | − | 1158.76i | 1.25705 | − | 1.39609i | ||||
\(831\) | 407.536 | − | 264.657i | 0.490416 | − | 0.318480i | ||||
\(832\) | −81.5745 | − | 160.099i | −0.0980462 | − | 0.192427i | ||||
\(833\) | −1146.00 | − | 905.976i | −1.37575 | − | 1.08761i | ||||
\(834\) | −69.4310 | + | 69.4310i | −0.0832506 | + | 0.0832506i | ||||
\(835\) | −229.966 | − | 12.0520i | −0.275409 | − | 0.0144336i | ||||
\(836\) | −150.368 | − | 15.8043i | −0.179866 | − | 0.0189047i | ||||
\(837\) | −44.2332 | − | 844.020i | −0.0528473 | − | 1.00839i | ||||
\(838\) | 439.987 | − | 46.2445i | 0.525044 | − | 0.0551844i | ||||
\(839\) | 28.1594 | + | 177.792i | 0.0335631 | + | 0.211909i | 0.998770 | − | 0.0495772i | \(-0.0157874\pi\) |
−0.965207 | + | 0.261486i | \(0.915787\pi\) | |||||||
\(840\) | −234.152 | − | 517.726i | −0.278753 | − | 0.616341i | ||||
\(841\) | −461.432 | + | 635.107i | −0.548671 | + | 0.755181i | ||||
\(842\) | 289.569 | − | 754.352i | 0.343906 | − | 0.895905i | ||||
\(843\) | −105.899 | + | 237.853i | −0.125621 | + | 0.282150i | ||||
\(844\) | 0.263796 | + | 5.03353i | 0.000312554 | + | 0.00596389i | ||||
\(845\) | −482.426 | − | 1083.55i | −0.570918 | − | 1.28230i | ||||
\(846\) | −183.085 | + | 93.2862i | −0.216412 | + | 0.110267i | ||||
\(847\) | 791.385 | + | 207.087i | 0.934339 | + | 0.244495i | ||||
\(848\) | −42.6010 | − | 6.74733i | −0.0502370 | − | 0.00795676i | ||||
\(849\) | −5.31853 | + | 101.484i | −0.00626447 | + | 0.119533i | ||||
\(850\) | 68.7932 | + | 1312.65i | 0.0809332 | + | 1.54430i | ||||
\(851\) | 1.44817 | − | 1.60835i | 0.00170172 | − | 0.00188995i | ||||
\(852\) | −88.5879 | + | 153.439i | −0.103976 | + | 0.180093i | ||||
\(853\) | 318.201 | + | 979.323i | 0.373038 | + | 1.14809i | 0.944793 | + | 0.327668i | \(0.106263\pi\) |
−0.571755 | + | 0.820424i | \(0.693737\pi\) | |||||||
\(854\) | −580.574 | + | 95.4455i | −0.679829 | + | 0.111763i | ||||
\(855\) | −294.154 | + | 1857.21i | −0.344040 | + | 2.17218i | ||||
\(856\) | −264.772 | + | 238.402i | −0.309314 | + | 0.278507i | ||||
\(857\) | −11.6355 | − | 54.7405i | −0.0135770 | − | 0.0638746i | 0.970838 | − | 0.239738i | \(-0.0770616\pi\) |
−0.984415 | + | 0.175864i | \(0.943728\pi\) | |||||||
\(858\) | 3.28641 | − | 12.2650i | 0.00383031 | − | 0.0142949i | ||||
\(859\) | 109.743 | + | 1044.13i | 0.127757 | + | 1.21552i | 0.851089 | + | 0.525022i | \(0.175943\pi\) |
−0.723332 | + | 0.690500i | \(0.757390\pi\) | |||||||
\(860\) | 987.775i | 1.14858i | ||||||||
\(861\) | 363.061 | − | 62.3260i | 0.421673 | − | 0.0723879i | ||||
\(862\) | −467.680 | −0.542553 | ||||||||
\(863\) | 1037.65 | − | 109.061i | 1.20238 | − | 0.126375i | 0.517920 | − | 0.855429i | \(-0.326707\pi\) |
0.684456 | + | 0.729054i | \(0.260040\pi\) | |||||||
\(864\) | −612.519 | − | 164.124i | −0.708934 | − | 0.189958i | ||||
\(865\) | 1626.36 | − | 345.694i | 1.88019 | − | 0.399646i | ||||
\(866\) | −537.438 | − | 596.885i | −0.620598 | − | 0.689244i | ||||
\(867\) | −760.430 | − | 120.440i | −0.877082 | − | 0.138916i | ||||
\(868\) | −395.381 | − | 482.445i | −0.455508 | − | 0.555813i | ||||
\(869\) | −100.711 | + | 32.7230i | −0.115893 | + | 0.0376560i | ||||
\(870\) | 84.6459 | + | 48.8703i | 0.0972942 | + | 0.0561728i | ||||
\(871\) | −107.159 | − | 96.4861i | −0.123029 | − | 0.110776i | ||||
\(872\) | 137.368 | − | 7.19913i | 0.157532 | − | 0.00825588i | ||||
\(873\) | −526.854 | − | 27.6113i | −0.603498 | − | 0.0316280i | ||||
\(874\) | −3.93000 | + | 24.8130i | −0.00449656 | + | 0.0283902i | ||||
\(875\) | −410.238 | + | 112.504i | −0.468843 | + | 0.128576i | ||||
\(876\) | 50.3548 | + | 98.8268i | 0.0574826 | + | 0.112816i | ||||
\(877\) | 240.235 | − | 106.960i | 0.273929 | − | 0.121961i | −0.265175 | − | 0.964200i | \(-0.585430\pi\) |
0.539104 | + | 0.842239i | \(0.318763\pi\) | |||||||
\(878\) | 63.9263 | − | 3.35023i | 0.0728090 | − | 0.00381576i | ||||
\(879\) | 112.726 | + | 50.1888i | 0.128243 | + | 0.0570976i | ||||
\(880\) | 32.5587 | + | 12.4981i | 0.0369985 | + | 0.0142024i | ||||
\(881\) | 123.845 | + | 89.9788i | 0.140573 | + | 0.102133i | 0.655849 | − | 0.754892i | \(-0.272311\pi\) |
−0.515276 | + | 0.857024i | \(0.672311\pi\) | |||||||
\(882\) | 201.039 | + | 437.659i | 0.227935 | + | 0.496212i | ||||
\(883\) | −388.648 | + | 61.5558i | −0.440145 | + | 0.0697121i | −0.372574 | − | 0.928002i | \(-0.621525\pi\) |
−0.0675705 | + | 0.997714i | \(0.521525\pi\) | |||||||
\(884\) | −25.0865 | − | 238.682i | −0.0283784 | − | 0.270002i | ||||
\(885\) | 1010.48 | − | 52.9568i | 1.14178 | − | 0.0598381i | ||||
\(886\) | −42.9545 | + | 408.685i | −0.0484814 | + | 0.461269i | ||||
\(887\) | 9.43479 | − | 180.026i | 0.0106367 | − | 0.202961i | −0.988142 | − | 0.153546i | \(-0.950931\pi\) |
0.998778 | − | 0.0494155i | \(-0.0157358\pi\) | |||||||
\(888\) | −29.1568 | − | 29.1568i | −0.0328342 | − | 0.0328342i | ||||
\(889\) | 178.370 | − | 222.928i | 0.200642 | − | 0.250763i | ||||
\(890\) | 748.889 | − | 381.578i | 0.841448 | − | 0.428739i | ||||
\(891\) | 43.4691 | + | 66.9366i | 0.0487869 | + | 0.0751253i | ||||
\(892\) | −42.7813 | − | 38.5205i | −0.0479611 | − | 0.0431844i | ||||
\(893\) | −608.065 | + | 351.067i | −0.680924 | + | 0.393132i | ||||
\(894\) | 270.088 | + | 57.4091i | 0.302112 | + | 0.0642160i | ||||
\(895\) | 1165.69 | − | 184.628i | 1.30245 | − | 0.206288i | ||||
\(896\) | −357.429 | + | 139.613i | −0.398917 | + | 0.155819i | ||||
\(897\) | 2.48465 | + | 0.807312i | 0.00276996 | + | 0.000900013i | ||||
\(898\) | −670.229 | − | 744.365i | −0.746358 | − | 0.828914i | ||||
\(899\) | 290.977 | + | 77.9669i | 0.323667 | + | 0.0867263i | ||||
\(900\) | −218.261 | + | 490.221i | −0.242512 | + | 0.544690i | ||||
\(901\) | −494.636 | − | 285.578i | −0.548986 | − | 0.316957i | ||||
\(902\) | −64.8987 | + | 90.6665i | −0.0719497 | + | 0.100517i | ||||
\(903\) | 3.08713 | + | 526.681i | 0.00341875 | + | 0.583257i | ||||
\(904\) | −161.562 | − | 222.371i | −0.178719 | − | 0.245986i | ||||
\(905\) | 302.608 | − | 81.0835i | 0.334373 | − | 0.0895950i | ||||
\(906\) | 20.3014 | + | 95.5106i | 0.0224077 | + | 0.105420i | ||||
\(907\) | 108.119 | + | 508.659i | 0.119205 | + | 0.560815i | 0.996696 | + | 0.0812223i | \(0.0258824\pi\) |
−0.877491 | + | 0.479593i | \(0.840784\pi\) | |||||||
\(908\) | 398.085 | − | 491.594i | 0.438419 | − | 0.541403i | ||||
\(909\) | 206.648 | − | 32.7299i | 0.227336 | − | 0.0360065i | ||||
\(910\) | −246.045 | + | 81.5423i | −0.270379 | + | 0.0896070i | ||||
\(911\) | 1239.45i | 1.36054i | 0.732962 | + | 0.680270i | \(0.238137\pi\) | ||||
−0.732962 | + | 0.680270i | \(0.761863\pi\) | |||||||
\(912\) | 94.9349 | + | 20.1790i | 0.104095 | + | 0.0221261i | ||||
\(913\) | −16.3088 | − | 311.190i | −0.0178628 | − | 0.340843i | ||||
\(914\) | 42.1907 | + | 27.3989i | 0.0461605 | + | 0.0299770i | ||||
\(915\) | −477.557 | − | 386.718i | −0.521920 | − | 0.422643i | ||||
\(916\) | −317.086 | − | 317.086i | −0.346164 | − | 0.346164i | ||||
\(917\) | −1012.36 | − | 649.027i | −1.10399 | − | 0.707773i | ||||
\(918\) | 676.757 | + | 491.693i | 0.737209 | + | 0.535613i | ||||
\(919\) | −1456.04 | + | 945.565i | −1.58438 | + | 1.02891i | −0.613388 | + | 0.789781i | \(0.710194\pi\) |
−0.970989 | + | 0.239125i | \(0.923139\pi\) | |||||||
\(920\) | −14.3929 | + | 32.3270i | −0.0156445 | + | 0.0351380i | ||||
\(921\) | 177.537 | + | 219.240i | 0.192766 | + | 0.238046i | ||||
\(922\) | 351.580 | − | 156.533i | 0.381323 | − | 0.169776i | ||||
\(923\) | 183.580 | + | 133.379i | 0.198895 | + | 0.144506i | ||||
\(924\) | −37.8445 | − | 14.2732i | −0.0409573 | − | 0.0154472i | ||||
\(925\) | −103.205 | + | 74.9828i | −0.111573 | + | 0.0810624i | ||||
\(926\) | −805.546 | + | 523.128i | −0.869920 | + | 0.564933i | ||||
\(927\) | 1455.35 | + | 152.964i | 1.56996 | + | 0.165009i | ||||
\(928\) | 123.098 | − | 189.554i | 0.132649 | − | 0.204261i | ||||
\(929\) | −629.905 | + | 168.782i | −0.678046 | + | 0.181682i | −0.581377 | − | 0.813635i | \(-0.697486\pi\) |
−0.0966695 | + | 0.995317i | \(0.530819\pi\) | |||||||
\(930\) | −82.3020 | + | 519.634i | −0.0884967 | + | 0.558746i | ||||
\(931\) | 764.282 | + | 1457.49i | 0.820926 | + | 1.56551i | ||||
\(932\) | 279.961 | − | 549.454i | 0.300387 | − | 0.589543i | ||||
\(933\) | −149.107 | − | 31.6936i | −0.159814 | − | 0.0339696i | ||||
\(934\) | −61.4988 | − | 106.519i | −0.0658446 | − | 0.114046i | ||||
\(935\) | 343.198 | + | 309.017i | 0.367056 | + | 0.330499i | ||||
\(936\) | −79.6098 | + | 207.391i | −0.0850532 | + | 0.221571i | ||||
\(937\) | 131.707 | + | 20.8604i | 0.140563 | + | 0.0222629i | 0.226319 | − | 0.974053i | \(-0.427331\pi\) |
−0.0857566 | + | 0.996316i | \(0.527331\pi\) | |||||||
\(938\) | 274.197 | − | 249.814i | 0.292321 | − | 0.266326i | ||||
\(939\) | 194.062 | − | 597.263i | 0.206669 | − | 0.636063i | ||||
\(940\) | −340.257 | + | 91.1716i | −0.361975 | + | 0.0969910i | ||||
\(941\) | 213.142 | + | 94.8970i | 0.226506 | + | 0.100847i | 0.516852 | − | 0.856075i | \(-0.327104\pi\) |
−0.290346 | + | 0.956922i | \(0.593770\pi\) | |||||||
\(942\) | 264.253 | + | 457.700i | 0.280523 | + | 0.485881i | ||||
\(943\) | −17.9300 | − | 14.3107i | −0.0190138 | − | 0.0151757i | ||||
\(944\) | 233.094i | 0.246922i | ||||||||
\(945\) | −449.035 | + | 1024.67i | −0.475169 | + | 1.08431i | ||||
\(946\) | −112.727 | − | 112.727i | −0.119162 | − | 0.119162i | ||||
\(947\) | 1021.44 | + | 1134.42i | 1.07860 | + | 1.19791i | 0.979207 | + | 0.202862i | \(0.0650244\pi\) |
0.0993960 | + | 0.995048i | \(0.468309\pi\) | |||||||
\(948\) | −144.619 | + | 30.7397i | −0.152552 | + | 0.0324259i | ||||
\(949\) | 132.620 | − | 50.9080i | 0.139747 | − | 0.0536438i | ||||
\(950\) | 530.670 | − | 1382.44i | 0.558600 | − | 1.45520i | ||||
\(951\) | 162.788 | + | 501.009i | 0.171175 | + | 0.526823i | ||||
\(952\) | 1733.29 | − | 10.1596i | 1.82068 | − | 0.0106719i | ||||
\(953\) | 348.228 | + | 1071.74i | 0.365402 | + | 1.12459i | 0.949729 | + | 0.313073i | \(0.101358\pi\) |
−0.584327 | + | 0.811518i | \(0.698642\pi\) | |||||||
\(954\) | 102.557 | + | 157.924i | 0.107502 | + | 0.165538i | ||||
\(955\) | 1264.22 | − | 1946.73i | 1.32379 | − | 2.03846i | ||||
\(956\) | 5.17758 | + | 13.4881i | 0.00541588 | + | 0.0141088i | ||||
\(957\) | 18.8678 | − | 5.05561i | 0.0197156 | − | 0.00528277i | ||||
\(958\) | −480.213 | + | 244.681i | −0.501266 | + | 0.255408i | ||||
\(959\) | 567.515 | + | 407.263i | 0.591778 | + | 0.424674i | ||||
\(960\) | 430.134 | + | 219.164i | 0.448057 | + | 0.228296i | ||||
\(961\) | 69.0409 | + | 656.880i | 0.0718428 | + | 0.683538i | ||||
\(962\) | −14.6180 | + | 11.8374i | −0.0151955 | + | 0.0123050i | ||||
\(963\) | 313.678 | + | 32.9689i | 0.325730 | + | 0.0342356i | ||||
\(964\) | −399.342 | + | 177.798i | −0.414255 | + | 0.184438i | ||||
\(965\) | 106.266 | + | 670.940i | 0.110121 | + | 0.695275i | ||||
\(966\) | −2.69743 | + | 6.15538i | −0.00279237 | + | 0.00637203i | ||||
\(967\) | −1371.54 | − | 698.835i | −1.41835 | − | 0.722683i | −0.434328 | − | 0.900755i | \(-0.643014\pi\) |
−0.984018 | + | 0.178072i | \(0.943014\pi\) | |||||||
\(968\) | −886.687 | + | 394.779i | −0.915999 | + | 0.407829i | ||||
\(969\) | 1077.88 | + | 699.981i | 1.11236 | + | 0.722374i | ||||
\(970\) | 705.515 | + | 189.042i | 0.727335 | + | 0.194889i | ||||
\(971\) | −1001.23 | − | 810.784i | −1.03114 | − | 0.834999i | −0.0446776 | − | 0.999001i | \(-0.514226\pi\) |
−0.986460 | + | 0.164003i | \(0.947559\pi\) | |||||||
\(972\) | 240.367 | + | 471.747i | 0.247291 | + | 0.485336i | ||||
\(973\) | 334.670 | − | 220.137i | 0.343957 | − | 0.226245i | ||||
\(974\) | 145.476 | + | 447.729i | 0.149359 | + | 0.459680i | ||||
\(975\) | −133.360 | − | 76.9953i | −0.136779 | − | 0.0789695i | ||||
\(976\) | 94.7205 | − | 105.198i | 0.0970497 | − | 0.107785i | ||||
\(977\) | −302.235 | + | 244.745i | −0.309350 | + | 0.250507i | −0.771405 | − | 0.636345i | \(-0.780446\pi\) |
0.462055 | + | 0.886851i | \(0.347112\pi\) | |||||||
\(978\) | −269.543 | + | 332.858i | −0.275606 | + | 0.340345i | ||||
\(979\) | 51.9064 | − | 159.751i | 0.0530198 | − | 0.163178i | ||||
\(980\) | 181.120 | + | 805.549i | 0.184816 | + | 0.821989i | ||||
\(981\) | −86.1063 | − | 86.1063i | −0.0877740 | − | 0.0877740i | ||||
\(982\) | 812.747 | − | 85.4232i | 0.827645 | − | 0.0869890i | ||||
\(983\) | −1122.70 | + | 648.190i | −1.14211 | + | 0.659400i | −0.946953 | − | 0.321372i | \(-0.895856\pi\) |
−0.195161 | + | 0.980771i | \(0.562523\pi\) | |||||||
\(984\) | −290.157 | + | 326.870i | −0.294875 | + | 0.332185i | ||||
\(985\) | 1315.59 | + | 759.555i | 1.33562 | + | 0.771122i | ||||
\(986\) | −241.212 | + | 175.251i | −0.244637 | + | 0.177739i | ||||
\(987\) | −181.140 | + | 49.6760i | −0.183526 | + | 0.0503303i | ||||
\(988\) | −83.5482 | + | 257.135i | −0.0845629 | + | 0.260258i | ||||
\(989\) | 24.3754 | − | 21.9477i | 0.0246465 | − | 0.0221918i | ||||
\(990\) | −54.5633 | − | 142.142i | −0.0551145 | − | 0.143578i | ||||
\(991\) | 1102.72 | − | 892.966i | 1.11274 | − | 0.901076i | 0.116982 | − | 0.993134i | \(-0.462678\pi\) |
0.995754 | + | 0.0920580i | \(0.0293445\pi\) | |||||||
\(992\) | 1190.00 | + | 252.943i | 1.19960 | + | 0.254983i | ||||
\(993\) | −501.900 | −0.505438 | ||||||||
\(994\) | −388.040 | + | 436.075i | −0.390382 | + | 0.438707i | ||||
\(995\) | 24.4019 | − | 47.8915i | 0.0245246 | − | 0.0481322i | ||||
\(996\) | 22.7704 | − | 434.486i | 0.0228619 | − | 0.436231i | ||||
\(997\) | 1112.29 | − | 426.970i | 1.11564 | − | 0.428255i | 0.270458 | − | 0.962732i | \(-0.412825\pi\) |
0.845183 | + | 0.534477i | \(0.179491\pi\) | |||||||
\(998\) | 88.9027 | + | 23.8214i | 0.0890809 | + | 0.0238691i | ||||
\(999\) | −4.24886 | + | 81.0731i | −0.00425312 | + | 0.0811543i |
(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 | 287.3.bd.a.5.19 | ✓ | 864 | |
7.3 | odd | 6 | inner | 287.3.bd.a.87.36 | yes | 864 | |
41.33 | even | 20 | inner | 287.3.bd.a.33.36 | yes | 864 | |
287.115 | odd | 60 | inner | 287.3.bd.a.115.19 | yes | 864 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.bd.a.5.19 | ✓ | 864 | 1.1 | even | 1 | trivial | |
287.3.bd.a.33.36 | yes | 864 | 41.33 | even | 20 | inner | |
287.3.bd.a.87.36 | yes | 864 | 7.3 | odd | 6 | inner | |
287.3.bd.a.115.19 | yes | 864 | 287.115 | odd | 60 | inner |