Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,3,Mod(11,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.j (of order \(10\), degree \(4\), 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: | \(4.08720396540\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.15 | ||
Character | \(\chi\) | \(=\) | 150.11 |
Dual form | 150.3.j.a.41.15 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.831254 | + | 1.14412i | 0.415627 | + | 0.572061i | ||||
\(3\) | −1.32235 | + | 2.69284i | −0.440782 | + | 0.897614i | ||||
\(4\) | −0.618034 | + | 1.90211i | −0.154508 | + | 0.475528i | ||||
\(5\) | −2.36498 | + | 4.40532i | −0.472995 | + | 0.881065i | ||||
\(6\) | −4.18015 | + | 0.725510i | −0.696691 | + | 0.120918i | ||||
\(7\) | 1.96623 | 0.280889 | 0.140445 | − | 0.990089i | \(-0.455147\pi\) | ||||
0.140445 | + | 0.990089i | \(0.455147\pi\) | |||||||
\(8\) | −2.68999 | + | 0.874032i | −0.336249 | + | 0.109254i | ||||
\(9\) | −5.50280 | − | 7.12174i | −0.611423 | − | 0.791304i | ||||
\(10\) | −7.00613 | + | 0.956120i | −0.700613 | + | 0.0956120i | ||||
\(11\) | −8.25152 | − | 11.3572i | −0.750138 | − | 1.03248i | −0.997971 | − | 0.0636741i | \(-0.979718\pi\) |
0.247832 | − | 0.968803i | \(-0.420282\pi\) | |||||||
\(12\) | −4.30484 | − | 4.17952i | −0.358736 | − | 0.348293i | ||||
\(13\) | 13.4390 | + | 9.76402i | 1.03377 | + | 0.751078i | 0.969060 | − | 0.246826i | \(-0.0793875\pi\) |
0.0647108 | + | 0.997904i | \(0.479388\pi\) | |||||||
\(14\) | 1.63443 | + | 2.24960i | 0.116745 | + | 0.160686i | ||||
\(15\) | −8.73553 | − | 12.1939i | −0.582369 | − | 0.812925i | ||||
\(16\) | −3.23607 | − | 2.35114i | −0.202254 | − | 0.146946i | ||||
\(17\) | −23.1929 | + | 7.53582i | −1.36429 | + | 0.443284i | −0.897472 | − | 0.441072i | \(-0.854598\pi\) |
−0.466815 | + | 0.884355i | \(0.654598\pi\) | |||||||
\(18\) | 3.57392 | − | 12.2159i | 0.198551 | − | 0.678659i | ||||
\(19\) | 8.24042 | + | 25.3614i | 0.433706 | + | 1.33481i | 0.894407 | + | 0.447255i | \(0.147598\pi\) |
−0.460701 | + | 0.887556i | \(0.652402\pi\) | |||||||
\(20\) | −6.91779 | − | 7.22109i | −0.345890 | − | 0.361055i | ||||
\(21\) | −2.60003 | + | 5.29474i | −0.123811 | + | 0.252130i | ||||
\(22\) | 6.13498 | − | 18.8815i | 0.278863 | − | 0.858251i | ||||
\(23\) | 9.75557 | + | 13.4274i | 0.424155 | + | 0.583800i | 0.966599 | − | 0.256292i | \(-0.0825010\pi\) |
−0.542444 | + | 0.840092i | \(0.682501\pi\) | |||||||
\(24\) | 1.20347 | − | 8.39950i | 0.0501446 | − | 0.349979i | ||||
\(25\) | −13.8138 | − | 20.8370i | −0.552551 | − | 0.833479i | ||||
\(26\) | 23.4923i | 0.903549i | ||||||||
\(27\) | 26.4543 | − | 5.40078i | 0.979790 | − | 0.200029i | ||||
\(28\) | −1.21519 | + | 3.73998i | −0.0433998 | + | 0.133571i | ||||
\(29\) | 11.7344 | + | 3.81274i | 0.404635 | + | 0.131474i | 0.504262 | − | 0.863551i | \(-0.331765\pi\) |
−0.0996263 | + | 0.995025i | \(0.531765\pi\) | |||||||
\(30\) | 6.68984 | − | 20.1307i | 0.222995 | − | 0.671024i | ||||
\(31\) | 8.53426 | + | 26.2657i | 0.275299 | + | 0.847282i | 0.989140 | + | 0.146975i | \(0.0469537\pi\) |
−0.713842 | + | 0.700307i | \(0.753046\pi\) | |||||||
\(32\) | − | 5.65685i | − | 0.176777i | ||||||
\(33\) | 41.4946 | − | 7.20185i | 1.25741 | − | 0.218238i | ||||
\(34\) | −27.9011 | − | 20.2713i | −0.820620 | − | 0.596215i | ||||
\(35\) | −4.65008 | + | 8.66186i | −0.132859 | + | 0.247482i | ||||
\(36\) | 16.9473 | − | 6.06548i | 0.470758 | − | 0.168486i | ||||
\(37\) | −8.68504 | − | 6.31005i | −0.234731 | − | 0.170542i | 0.464202 | − | 0.885729i | \(-0.346341\pi\) |
−0.698933 | + | 0.715188i | \(0.746341\pi\) | |||||||
\(38\) | −22.1667 | + | 30.5098i | −0.583333 | + | 0.802890i | ||||
\(39\) | −44.0640 | + | 23.2778i | −1.12985 | + | 0.596866i | ||||
\(40\) | 2.51138 | − | 13.9174i | 0.0627844 | − | 0.347934i | ||||
\(41\) | −15.4757 | + | 21.3004i | −0.377455 | + | 0.519523i | −0.954908 | − | 0.296901i | \(-0.904047\pi\) |
0.577453 | + | 0.816424i | \(0.304047\pi\) | |||||||
\(42\) | −8.21911 | + | 1.42652i | −0.195693 | + | 0.0339647i | ||||
\(43\) | 66.0299 | 1.53558 | 0.767790 | − | 0.640701i | \(-0.221356\pi\) | ||||
0.767790 | + | 0.640701i | \(0.221356\pi\) | |||||||
\(44\) | 26.7025 | − | 8.67617i | 0.606875 | − | 0.197186i | ||||
\(45\) | 44.3876 | − | 7.39890i | 0.986390 | − | 0.164420i | ||||
\(46\) | −7.25323 | + | 22.3231i | −0.157679 | + | 0.485286i | ||||
\(47\) | 43.5204 | + | 14.1406i | 0.925966 | + | 0.300864i | 0.732912 | − | 0.680324i | \(-0.238161\pi\) |
0.193054 | + | 0.981188i | \(0.438161\pi\) | |||||||
\(48\) | 10.6105 | − | 5.60520i | 0.221051 | − | 0.116775i | ||||
\(49\) | −45.1340 | −0.921101 | ||||||||
\(50\) | 12.3573 | − | 33.1255i | 0.247146 | − | 0.662509i | ||||
\(51\) | 10.3762 | − | 72.4197i | 0.203455 | − | 1.41999i | ||||
\(52\) | −26.8780 | + | 19.5280i | −0.516885 | + | 0.375539i | ||||
\(53\) | 49.6666 | + | 16.1377i | 0.937106 | + | 0.304484i | 0.737466 | − | 0.675385i | \(-0.236022\pi\) |
0.199641 | + | 0.979869i | \(0.436022\pi\) | |||||||
\(54\) | 28.1694 | + | 25.7776i | 0.521656 | + | 0.477363i | ||||
\(55\) | 69.5470 | − | 9.49102i | 1.26449 | − | 0.172564i | ||||
\(56\) | −5.28913 | + | 1.71854i | −0.0944488 | + | 0.0306883i | ||||
\(57\) | −79.1909 | − | 11.3464i | −1.38931 | − | 0.199059i | ||||
\(58\) | 5.39204 | + | 16.5950i | 0.0929661 | + | 0.286120i | ||||
\(59\) | −2.83203 | + | 3.89795i | −0.0480004 | + | 0.0660669i | −0.832343 | − | 0.554262i | \(-0.813001\pi\) |
0.784342 | + | 0.620329i | \(0.213001\pi\) | |||||||
\(60\) | 28.5930 | − | 9.07974i | 0.476550 | − | 0.151329i | ||||
\(61\) | −65.1466 | + | 47.3317i | −1.06798 | + | 0.775930i | −0.975547 | − | 0.219789i | \(-0.929463\pi\) |
−0.0924289 | + | 0.995719i | \(0.529463\pi\) | |||||||
\(62\) | −22.9571 | + | 31.5977i | −0.370276 | + | 0.509641i | ||||
\(63\) | −10.8198 | − | 14.0029i | −0.171742 | − | 0.222269i | ||||
\(64\) | 6.47214 | − | 4.70228i | 0.101127 | − | 0.0734732i | ||||
\(65\) | −74.7966 | + | 36.1116i | −1.15072 | + | 0.555563i | ||||
\(66\) | 42.7324 | + | 41.4884i | 0.647460 | + | 0.628612i | ||||
\(67\) | −25.4246 | − | 78.2489i | −0.379472 | − | 1.16789i | −0.940412 | − | 0.340038i | \(-0.889560\pi\) |
0.560940 | − | 0.827856i | \(-0.310440\pi\) | |||||||
\(68\) | − | 48.7729i | − | 0.717248i | ||||||
\(69\) | −49.0581 | + | 8.51456i | −0.710987 | + | 0.123399i | ||||
\(70\) | −13.7756 | + | 1.87995i | −0.196795 | + | 0.0268564i | ||||
\(71\) | 75.5470 | + | 24.5467i | 1.06404 | + | 0.345728i | 0.788164 | − | 0.615465i | \(-0.211032\pi\) |
0.275877 | + | 0.961193i | \(0.411032\pi\) | |||||||
\(72\) | 21.0271 | + | 14.3478i | 0.292044 | + | 0.199275i | ||||
\(73\) | 71.5491 | − | 51.9835i | 0.980125 | − | 0.712103i | 0.0223887 | − | 0.999749i | \(-0.492873\pi\) |
0.957737 | + | 0.287647i | \(0.0928729\pi\) | |||||||
\(74\) | − | 15.1820i | − | 0.205162i | ||||||
\(75\) | 74.3773 | − | 9.64464i | 0.991697 | − | 0.128595i | ||||
\(76\) | −53.3331 | −0.701751 | ||||||||
\(77\) | −16.2244 | − | 22.3309i | −0.210706 | − | 0.290012i | ||||
\(78\) | −63.2610 | − | 31.0649i | −0.811038 | − | 0.398268i | ||||
\(79\) | 17.3717 | − | 53.4646i | 0.219895 | − | 0.676767i | −0.778875 | − | 0.627180i | \(-0.784209\pi\) |
0.998770 | − | 0.0495879i | \(-0.0157908\pi\) | |||||||
\(80\) | 18.0108 | − | 8.69554i | 0.225135 | − | 0.108694i | ||||
\(81\) | −20.4383 | + | 78.3791i | −0.252325 | + | 0.967643i | ||||
\(82\) | −37.2345 | −0.454079 | ||||||||
\(83\) | −6.20736 | + | 2.01689i | −0.0747875 | + | 0.0242999i | −0.346172 | − | 0.938171i | \(-0.612519\pi\) |
0.271384 | + | 0.962471i | \(0.412519\pi\) | |||||||
\(84\) | −8.46428 | − | 8.21788i | −0.100765 | − | 0.0978319i | ||||
\(85\) | 21.6528 | − | 119.994i | 0.254739 | − | 1.41170i | ||||
\(86\) | 54.8877 | + | 75.5464i | 0.638228 | + | 0.878446i | ||||
\(87\) | −25.7841 | + | 26.5572i | −0.296369 | + | 0.305255i | ||||
\(88\) | 32.1231 | + | 23.3388i | 0.365036 | + | 0.265214i | ||||
\(89\) | 1.39807 | + | 1.92428i | 0.0157086 | + | 0.0216211i | 0.816799 | − | 0.576922i | \(-0.195746\pi\) |
−0.801090 | + | 0.598543i | \(0.795746\pi\) | |||||||
\(90\) | 45.3626 | + | 44.6345i | 0.504029 | + | 0.495939i | ||||
\(91\) | 26.4241 | + | 19.1983i | 0.290375 | + | 0.210970i | ||||
\(92\) | −31.5697 | + | 10.2576i | −0.343149 | + | 0.111496i | ||||
\(93\) | −82.0148 | − | 11.7510i | −0.881879 | − | 0.126355i | ||||
\(94\) | 19.9979 | + | 61.5471i | 0.212743 | + | 0.654757i | ||||
\(95\) | −131.214 | − | 23.6774i | −1.38120 | − | 0.249236i | ||||
\(96\) | 15.2330 | + | 7.48032i | 0.158677 | + | 0.0779200i | ||||
\(97\) | −23.0888 | + | 71.0601i | −0.238029 | + | 0.732579i | 0.758676 | + | 0.651468i | \(0.225847\pi\) |
−0.996705 | + | 0.0811104i | \(0.974153\pi\) | |||||||
\(98\) | −37.5178 | − | 51.6388i | −0.382834 | − | 0.526926i | ||||
\(99\) | −35.4768 | + | 121.262i | −0.358352 | + | 1.22487i | ||||
\(100\) | 48.1717 | − | 13.3974i | 0.481717 | − | 0.133974i | ||||
\(101\) | − | 183.765i | − | 1.81945i | −0.415210 | − | 0.909725i | \(-0.636292\pi\) | ||
0.415210 | − | 0.909725i | \(-0.363708\pi\) | |||||||
\(102\) | 91.4823 | − | 48.3275i | 0.896885 | − | 0.473799i | ||||
\(103\) | −2.39499 | + | 7.37103i | −0.0232523 | + | 0.0715634i | −0.962009 | − | 0.273017i | \(-0.911979\pi\) |
0.938757 | + | 0.344580i | \(0.111979\pi\) | |||||||
\(104\) | −44.6849 | − | 14.5190i | −0.429663 | − | 0.139606i | ||||
\(105\) | −17.1760 | − | 23.9759i | −0.163581 | − | 0.228342i | ||||
\(106\) | 22.8221 | + | 70.2392i | 0.215303 | + | 0.662634i | ||||
\(107\) | − | 77.6563i | − | 0.725760i | −0.931836 | − | 0.362880i | \(-0.881793\pi\) | ||
0.931836 | − | 0.362880i | \(-0.118207\pi\) | |||||||
\(108\) | −6.07677 | + | 53.6570i | −0.0562664 | + | 0.496824i | ||||
\(109\) | −49.9459 | − | 36.2878i | −0.458219 | − | 0.332916i | 0.334613 | − | 0.942356i | \(-0.391394\pi\) |
−0.792832 | + | 0.609440i | \(0.791394\pi\) | |||||||
\(110\) | 68.6701 | + | 71.6809i | 0.624274 | + | 0.651644i | ||||
\(111\) | 28.4766 | − | 15.0434i | 0.256546 | − | 0.135526i | ||||
\(112\) | −6.36284 | − | 4.62287i | −0.0568111 | − | 0.0412757i | ||||
\(113\) | −129.428 | + | 178.142i | −1.14538 | + | 1.57648i | −0.390523 | + | 0.920593i | \(0.627706\pi\) |
−0.754858 | + | 0.655888i | \(0.772294\pi\) | |||||||
\(114\) | −52.8461 | − | 100.036i | −0.463562 | − | 0.877508i | ||||
\(115\) | −82.2237 | + | 11.2210i | −0.714989 | + | 0.0975739i | ||||
\(116\) | −14.5045 | + | 19.9638i | −0.125039 | + | 0.172102i | ||||
\(117\) | −4.41550 | − | 149.439i | −0.0377393 | − | 1.27725i | ||||
\(118\) | −6.81386 | −0.0577446 | ||||||||
\(119\) | −45.6024 | + | 14.8171i | −0.383214 | + | 0.124514i | ||||
\(120\) | 34.1564 | + | 25.1663i | 0.284636 | + | 0.209719i | ||||
\(121\) | −23.5084 | + | 72.3514i | −0.194284 | + | 0.597945i | ||||
\(122\) | −108.307 | − | 35.1910i | −0.887759 | − | 0.288451i | ||||
\(123\) | −36.8945 | − | 69.8400i | −0.299955 | − | 0.567805i | ||||
\(124\) | −55.2349 | −0.445443 | ||||||||
\(125\) | 124.463 | − | 11.5752i | 0.995703 | − | 0.0926018i | ||||
\(126\) | 7.02712 | − | 24.0191i | 0.0557708 | − | 0.190628i | ||||
\(127\) | −65.1723 | + | 47.3505i | −0.513168 | + | 0.372838i | −0.814024 | − | 0.580831i | \(-0.802728\pi\) |
0.300856 | + | 0.953670i | \(0.402728\pi\) | |||||||
\(128\) | 10.7600 | + | 3.49613i | 0.0840623 | + | 0.0273135i | ||||
\(129\) | −87.3144 | + | 177.808i | −0.676856 | + | 1.37836i | ||||
\(130\) | −103.491 | − | 55.5587i | −0.796085 | − | 0.427374i | ||||
\(131\) | −0.446358 | + | 0.145030i | −0.00340731 | + | 0.00110710i | −0.310720 | − | 0.950501i | \(-0.600570\pi\) |
0.307313 | + | 0.951609i | \(0.400570\pi\) | |||||||
\(132\) | −11.9464 | + | 83.3785i | −0.0905029 | + | 0.631655i | ||||
\(133\) | 16.2025 | + | 49.8662i | 0.121823 | + | 0.374934i | ||||
\(134\) | 68.3920 | − | 94.1336i | 0.510388 | − | 0.702489i | ||||
\(135\) | −38.7716 | + | 129.313i | −0.287197 | + | 0.957871i | ||||
\(136\) | 55.8021 | − | 40.5426i | 0.410310 | − | 0.298108i | ||||
\(137\) | 132.341 | − | 182.152i | 0.965993 | − | 1.32958i | 0.0219479 | − | 0.999759i | \(-0.493013\pi\) |
0.944045 | − | 0.329816i | \(-0.106987\pi\) | |||||||
\(138\) | −50.5214 | − | 49.0507i | −0.366097 | − | 0.355440i | ||||
\(139\) | 189.613 | − | 137.762i | 1.36413 | − | 0.991095i | 0.365955 | − | 0.930633i | \(-0.380742\pi\) |
0.998170 | − | 0.0604626i | \(-0.0192576\pi\) | |||||||
\(140\) | −13.6019 | − | 14.1983i | −0.0971567 | − | 0.101416i | ||||
\(141\) | −95.6275 | + | 98.4947i | −0.678209 | + | 0.698544i | ||||
\(142\) | 34.7143 | + | 106.840i | 0.244467 | + | 0.752391i | ||||
\(143\) | − | 233.198i | − | 1.63076i | ||||||
\(144\) | 1.06324 | + | 35.9843i | 0.00738358 | + | 0.249891i | ||||
\(145\) | −44.5480 | + | 42.6769i | −0.307228 | + | 0.294323i | ||||
\(146\) | 118.951 | + | 38.6495i | 0.814733 | + | 0.264723i | ||||
\(147\) | 59.6827 | − | 121.539i | 0.406005 | − | 0.826794i | ||||
\(148\) | 17.3701 | − | 12.6201i | 0.117365 | − | 0.0852709i | ||||
\(149\) | 138.871i | 0.932022i | 0.884779 | + | 0.466011i | \(0.154309\pi\) | ||||
−0.884779 | + | 0.466011i | \(0.845691\pi\) | |||||||
\(150\) | 72.8611 | + | 77.0796i | 0.485740 | + | 0.513864i | ||||
\(151\) | −63.7755 | −0.422354 | −0.211177 | − | 0.977448i | \(-0.567730\pi\) | ||||
−0.211177 | + | 0.977448i | \(0.567730\pi\) | |||||||
\(152\) | −44.3333 | − | 61.0196i | −0.291667 | − | 0.401445i | ||||
\(153\) | 181.294 | + | 123.705i | 1.18493 | + | 0.808532i | ||||
\(154\) | 12.0627 | − | 37.1253i | 0.0783295 | − | 0.241073i | ||||
\(155\) | −135.892 | − | 24.5217i | −0.876726 | − | 0.158204i | ||||
\(156\) | −17.0439 | − | 98.2011i | −0.109256 | − | 0.629495i | ||||
\(157\) | 90.9467 | 0.579278 | 0.289639 | − | 0.957136i | \(-0.406465\pi\) | ||||
0.289639 | + | 0.957136i | \(0.406465\pi\) | |||||||
\(158\) | 75.6104 | − | 24.5673i | 0.478547 | − | 0.155489i | ||||
\(159\) | −109.133 | + | 112.405i | −0.686369 | + | 0.706949i | ||||
\(160\) | 24.9203 | + | 13.3783i | 0.155752 | + | 0.0836145i | ||||
\(161\) | 19.1816 | + | 26.4013i | 0.119141 | + | 0.163983i | ||||
\(162\) | −106.665 | + | 41.7690i | −0.658424 | + | 0.257833i | ||||
\(163\) | 203.450 | + | 147.815i | 1.24816 | + | 0.906842i | 0.998114 | − | 0.0613923i | \(-0.0195541\pi\) |
0.250047 | + | 0.968234i | \(0.419554\pi\) | |||||||
\(164\) | −30.9513 | − | 42.6008i | −0.188728 | − | 0.259761i | ||||
\(165\) | −66.4074 | + | 199.830i | −0.402469 | + | 1.21109i | ||||
\(166\) | −7.46746 | − | 5.42543i | −0.0449847 | − | 0.0326833i | ||||
\(167\) | 111.255 | − | 36.1490i | 0.666199 | − | 0.216461i | 0.0436558 | − | 0.999047i | \(-0.486100\pi\) |
0.622543 | + | 0.782585i | \(0.286100\pi\) | |||||||
\(168\) | 2.36630 | − | 16.5153i | 0.0140851 | − | 0.0983055i | ||||
\(169\) | 33.0473 | + | 101.709i | 0.195546 | + | 0.601829i | ||||
\(170\) | 155.287 | − | 74.9721i | 0.913453 | − | 0.441012i | ||||
\(171\) | 135.272 | − | 198.245i | 0.791063 | − | 1.15933i | ||||
\(172\) | −40.8088 | + | 125.596i | −0.237260 | + | 0.730212i | ||||
\(173\) | 92.0620 | + | 126.712i | 0.532150 | + | 0.732442i | 0.987456 | − | 0.157893i | \(-0.0504701\pi\) |
−0.455306 | + | 0.890335i | \(0.650470\pi\) | |||||||
\(174\) | −51.8178 | − | 7.42440i | −0.297803 | − | 0.0426689i | ||||
\(175\) | −27.1610 | − | 40.9702i | −0.155206 | − | 0.234115i | ||||
\(176\) | 56.1533i | 0.319053i | ||||||||
\(177\) | −6.75164 | − | 12.7806i | −0.0381449 | − | 0.0722070i | ||||
\(178\) | −1.03946 | + | 3.19912i | −0.00583965 | + | 0.0179726i | ||||
\(179\) | 246.242 | + | 80.0088i | 1.37565 | + | 0.446976i | 0.901238 | − | 0.433325i | \(-0.142660\pi\) |
0.474414 | + | 0.880302i | \(0.342660\pi\) | |||||||
\(180\) | −13.3595 | + | 89.0029i | −0.0742194 | + | 0.494461i | ||||
\(181\) | −86.0164 | − | 264.731i | −0.475229 | − | 1.46260i | −0.845649 | − | 0.533739i | \(-0.820786\pi\) |
0.370421 | − | 0.928864i | \(-0.379214\pi\) | |||||||
\(182\) | 46.1911i | 0.253797i | ||||||||
\(183\) | −41.3107 | − | 238.018i | −0.225741 | − | 1.30065i | ||||
\(184\) | −37.9784 | − | 27.5929i | −0.206404 | − | 0.149962i | ||||
\(185\) | 48.3377 | − | 23.3373i | 0.261285 | − | 0.126148i | ||||
\(186\) | −54.7305 | − | 103.603i | −0.294250 | − | 0.557005i | ||||
\(187\) | 276.963 | + | 201.225i | 1.48108 | + | 1.07607i | ||||
\(188\) | −53.7941 | + | 74.0413i | −0.286139 | + | 0.393837i | ||||
\(189\) | 52.0152 | − | 10.6192i | 0.275213 | − | 0.0561860i | ||||
\(190\) | −81.9820 | − | 169.806i | −0.431484 | − | 0.893718i | ||||
\(191\) | 88.1711 | − | 121.357i | 0.461629 | − | 0.635377i | −0.513217 | − | 0.858259i | \(-0.671546\pi\) |
0.974845 | + | 0.222882i | \(0.0715464\pi\) | |||||||
\(192\) | 4.10410 | + | 23.6465i | 0.0213755 | + | 0.123159i | ||||
\(193\) | −88.2377 | −0.457190 | −0.228595 | − | 0.973522i | \(-0.573413\pi\) | ||||
−0.228595 | + | 0.973522i | \(0.573413\pi\) | |||||||
\(194\) | −100.494 | + | 32.6525i | −0.518011 | + | 0.168312i | ||||
\(195\) | 1.66422 | − | 249.168i | 0.00853446 | − | 1.27778i | ||||
\(196\) | 27.8943 | − | 85.8499i | 0.142318 | − | 0.438010i | ||||
\(197\) | 60.4056 | + | 19.6270i | 0.306627 | + | 0.0996293i | 0.458289 | − | 0.888803i | \(-0.348462\pi\) |
−0.151662 | + | 0.988432i | \(0.548462\pi\) | |||||||
\(198\) | −168.229 | + | 60.2096i | −0.849640 | + | 0.304089i | ||||
\(199\) | 72.0031 | 0.361825 | 0.180912 | − | 0.983499i | \(-0.442095\pi\) | ||||
0.180912 | + | 0.983499i | \(0.442095\pi\) | |||||||
\(200\) | 55.3712 | + | 43.9777i | 0.276856 | + | 0.219888i | ||||
\(201\) | 244.332 | + | 35.0076i | 1.21558 | + | 0.174167i | ||||
\(202\) | 210.249 | − | 152.755i | 1.04084 | − | 0.756213i | ||||
\(203\) | 23.0725 | + | 7.49672i | 0.113658 | + | 0.0369296i | ||||
\(204\) | 131.338 | + | 64.4946i | 0.643812 | + | 0.316150i | ||||
\(205\) | −57.2357 | − | 118.550i | −0.279199 | − | 0.578294i | ||||
\(206\) | −10.4242 | + | 3.38703i | −0.0506029 | + | 0.0164419i | ||||
\(207\) | 41.9434 | − | 143.365i | 0.202625 | − | 0.692584i | ||||
\(208\) | −20.5330 | − | 63.1941i | −0.0987163 | − | 0.303818i | ||||
\(209\) | 220.040 | − | 302.859i | 1.05282 | − | 1.44908i | ||||
\(210\) | 13.1537 | − | 39.5815i | 0.0626368 | − | 0.188484i | ||||
\(211\) | −99.8827 | + | 72.5690i | −0.473378 | + | 0.343929i | −0.798756 | − | 0.601655i | \(-0.794508\pi\) |
0.325378 | + | 0.945584i | \(0.394508\pi\) | |||||||
\(212\) | −61.3913 | + | 84.4979i | −0.289582 | + | 0.398575i | ||||
\(213\) | −166.000 | + | 170.977i | −0.779341 | + | 0.802708i | ||||
\(214\) | 88.8484 | − | 64.5521i | 0.415179 | − | 0.301645i | ||||
\(215\) | −156.159 | + | 290.883i | −0.726322 | + | 1.35295i | ||||
\(216\) | −66.4415 | + | 37.6500i | −0.307600 | + | 0.174306i | ||||
\(217\) | 16.7803 | + | 51.6444i | 0.0773285 | + | 0.237993i | ||||
\(218\) | − | 87.3086i | − | 0.400498i | ||||||
\(219\) | 45.3707 | + | 261.411i | 0.207172 | + | 1.19366i | ||||
\(220\) | −24.9294 | + | 138.152i | −0.113316 | + | 0.627964i | ||||
\(221\) | −385.269 | − | 125.182i | −1.74330 | − | 0.566433i | ||||
\(222\) | 40.8827 | + | 20.0759i | 0.184156 | + | 0.0904318i | ||||
\(223\) | −233.436 | + | 169.601i | −1.04680 | + | 0.760542i | −0.971601 | − | 0.236627i | \(-0.923958\pi\) |
−0.0751956 | + | 0.997169i | \(0.523958\pi\) | |||||||
\(224\) | − | 11.1226i | − | 0.0496547i | ||||||
\(225\) | −72.3810 | + | 213.040i | −0.321693 | + | 0.946844i | ||||
\(226\) | −311.404 | −1.37790 | ||||||||
\(227\) | 71.1689 | + | 97.9556i | 0.313519 | + | 0.431522i | 0.936475 | − | 0.350735i | \(-0.114068\pi\) |
−0.622955 | + | 0.782257i | \(0.714068\pi\) | |||||||
\(228\) | 70.5248 | − | 143.618i | 0.309319 | − | 0.629902i | ||||
\(229\) | 82.0148 | − | 252.415i | 0.358143 | − | 1.10225i | −0.596021 | − | 0.802969i | \(-0.703253\pi\) |
0.954165 | − | 0.299283i | \(-0.0967473\pi\) | |||||||
\(230\) | −81.1870 | − | 84.7465i | −0.352987 | − | 0.368463i | ||||
\(231\) | 81.5878 | − | 14.1605i | 0.353194 | − | 0.0613007i | ||||
\(232\) | −34.8980 | −0.150422 | ||||||||
\(233\) | 74.5928 | − | 24.2367i | 0.320141 | − | 0.104020i | −0.144538 | − | 0.989499i | \(-0.546170\pi\) |
0.464679 | + | 0.885479i | \(0.346170\pi\) | |||||||
\(234\) | 167.306 | − | 129.273i | 0.714982 | − | 0.552450i | ||||
\(235\) | −165.219 | + | 158.279i | −0.703058 | + | 0.673528i | ||||
\(236\) | −5.66405 | − | 7.79590i | −0.0240002 | − | 0.0330335i | ||||
\(237\) | 121.000 | + | 117.478i | 0.510550 | + | 0.495688i | ||||
\(238\) | −54.8598 | − | 39.8580i | −0.230503 | − | 0.167470i | ||||
\(239\) | −150.882 | − | 207.672i | −0.631307 | − | 0.868920i | 0.366807 | − | 0.930297i | \(-0.380451\pi\) |
−0.998115 | + | 0.0613768i | \(0.980451\pi\) | |||||||
\(240\) | −0.400738 | + | 59.9987i | −0.00166974 | + | 0.249994i | ||||
\(241\) | −68.5415 | − | 49.7983i | −0.284405 | − | 0.206632i | 0.436432 | − | 0.899737i | \(-0.356242\pi\) |
−0.720836 | + | 0.693105i | \(0.756242\pi\) | |||||||
\(242\) | −102.320 | + | 33.2459i | −0.422811 | + | 0.137380i | ||||
\(243\) | −184.036 | − | 158.681i | −0.757350 | − | 0.653010i | ||||
\(244\) | −49.7675 | − | 153.169i | −0.203965 | − | 0.627741i | ||||
\(245\) | 106.741 | − | 198.830i | 0.435676 | − | 0.811550i | ||||
\(246\) | 49.2369 | − | 100.267i | 0.200150 | − | 0.407588i | ||||
\(247\) | −136.886 | + | 421.292i | −0.554194 | + | 1.70564i | ||||
\(248\) | −45.9142 | − | 63.1955i | −0.185138 | − | 0.254821i | ||||
\(249\) | 2.77710 | − | 19.3825i | 0.0111530 | − | 0.0778413i | ||||
\(250\) | 116.704 | + | 132.779i | 0.466815 | + | 0.531116i | ||||
\(251\) | 163.211i | 0.650243i | 0.945672 | + | 0.325121i | \(0.105405\pi\) | ||||
−0.945672 | + | 0.325121i | \(0.894595\pi\) | |||||||
\(252\) | 33.3222 | − | 11.9261i | 0.132231 | − | 0.0473258i | ||||
\(253\) | 71.9999 | − | 221.593i | 0.284584 | − | 0.875861i | ||||
\(254\) | −108.350 | − | 35.2049i | −0.426573 | − | 0.138602i | ||||
\(255\) | 294.493 | + | 216.981i | 1.15487 | + | 0.850908i | ||||
\(256\) | 4.94427 | + | 15.2169i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 322.535i | 1.25500i | 0.778616 | + | 0.627501i | \(0.215922\pi\) | ||||
−0.778616 | + | 0.627501i | \(0.784078\pi\) | |||||||
\(258\) | −276.015 | + | 47.9054i | −1.06983 | + | 0.185680i | ||||
\(259\) | −17.0767 | − | 12.4070i | −0.0659334 | − | 0.0479034i | ||||
\(260\) | −22.4614 | − | 164.590i | −0.0863901 | − | 0.633038i | ||||
\(261\) | −37.4188 | − | 104.550i | −0.143367 | − | 0.400576i | ||||
\(262\) | −0.536969 | − | 0.390131i | −0.00204950 | − | 0.00148905i | ||||
\(263\) | −146.226 | + | 201.263i | −0.555993 | + | 0.765259i | −0.990810 | − | 0.135260i | \(-0.956813\pi\) |
0.434817 | + | 0.900519i | \(0.356813\pi\) | |||||||
\(264\) | −105.326 | + | 55.6406i | −0.398961 | + | 0.210760i | ||||
\(265\) | −188.552 | + | 180.633i | −0.711517 | + | 0.681632i | ||||
\(266\) | −43.5847 | + | 59.9892i | −0.163852 | + | 0.225523i | ||||
\(267\) | −7.03050 | + | 1.22022i | −0.0263315 | + | 0.00457011i | ||||
\(268\) | 164.552 | 0.613998 | ||||||||
\(269\) | −279.617 | + | 90.8530i | −1.03947 | + | 0.337744i | −0.778527 | − | 0.627611i | \(-0.784033\pi\) |
−0.260941 | + | 0.965355i | \(0.584033\pi\) | |||||||
\(270\) | −180.179 | + | 63.1321i | −0.667328 | + | 0.233823i | ||||
\(271\) | −28.7367 | + | 88.4425i | −0.106039 | + | 0.326356i | −0.989973 | − | 0.141257i | \(-0.954886\pi\) |
0.883934 | + | 0.467613i | \(0.154886\pi\) | |||||||
\(272\) | 92.7715 | + | 30.1433i | 0.341072 | + | 0.110821i | ||||
\(273\) | −86.6397 | + | 45.7693i | −0.317362 | + | 0.167653i | ||||
\(274\) | 318.413 | 1.16209 | ||||||||
\(275\) | −122.666 | + | 328.823i | −0.446058 | + | 1.19572i | ||||
\(276\) | 14.1239 | − | 98.5763i | 0.0511736 | − | 0.357161i | ||||
\(277\) | −188.883 | + | 137.231i | −0.681888 | + | 0.495420i | −0.873983 | − | 0.485956i | \(-0.838472\pi\) |
0.192096 | + | 0.981376i | \(0.438472\pi\) | |||||||
\(278\) | 315.234 | + | 102.426i | 1.13393 | + | 0.368438i | ||||
\(279\) | 140.095 | − | 205.314i | 0.502134 | − | 0.735893i | ||||
\(280\) | 4.93793 | − | 27.3647i | 0.0176355 | − | 0.0977310i | ||||
\(281\) | −306.233 | + | 99.5011i | −1.08980 | + | 0.354096i | −0.798168 | − | 0.602435i | \(-0.794197\pi\) |
−0.291629 | + | 0.956532i | \(0.594197\pi\) | |||||||
\(282\) | −192.181 | − | 27.5354i | −0.681492 | − | 0.0976434i | ||||
\(283\) | −86.7420 | − | 266.965i | −0.306509 | − | 0.943338i | −0.979110 | − | 0.203332i | \(-0.934823\pi\) |
0.672601 | − | 0.740005i | \(-0.265177\pi\) | |||||||
\(284\) | −93.3812 | + | 128.528i | −0.328807 | + | 0.452564i | ||||
\(285\) | 237.269 | − | 322.028i | 0.832523 | − | 1.12992i | ||||
\(286\) | 266.807 | − | 193.847i | 0.932893 | − | 0.677787i | ||||
\(287\) | −30.4286 | + | 41.8814i | −0.106023 | + | 0.145928i | ||||
\(288\) | −40.2866 | + | 31.1286i | −0.139884 | + | 0.108085i | ||||
\(289\) | 247.315 | − | 179.685i | 0.855760 | − | 0.621746i | ||||
\(290\) | −85.8583 | − | 15.4931i | −0.296063 | − | 0.0534243i | ||||
\(291\) | −160.822 | − | 156.141i | −0.552654 | − | 0.536566i | ||||
\(292\) | 54.6587 | + | 168.222i | 0.187187 | + | 0.576103i | ||||
\(293\) | 175.865i | 0.600222i | 0.953904 | + | 0.300111i | \(0.0970237\pi\) | ||||
−0.953904 | + | 0.300111i | \(0.902976\pi\) | |||||||
\(294\) | 188.667 | − | 32.7451i | 0.641723 | − | 0.111378i | ||||
\(295\) | −10.4741 | − | 21.6945i | −0.0355053 | − | 0.0735408i | ||||
\(296\) | 28.8779 | + | 9.38299i | 0.0975604 | + | 0.0316993i | ||||
\(297\) | −279.627 | − | 255.884i | −0.941504 | − | 0.861561i | ||||
\(298\) | −158.886 | + | 115.437i | −0.533174 | + | 0.387373i | ||||
\(299\) | 275.705i | 0.922089i | ||||||||
\(300\) | −27.6225 | + | 147.435i | −0.0920750 | + | 0.491449i | ||||
\(301\) | 129.830 | 0.431328 | ||||||||
\(302\) | −53.0136 | − | 72.9670i | −0.175542 | − | 0.241612i | ||||
\(303\) | 494.849 | + | 243.000i | 1.63316 | + | 0.801981i | ||||
\(304\) | 32.9617 | − | 101.446i | 0.108427 | − | 0.333703i | ||||
\(305\) | −54.4417 | − | 398.930i | −0.178497 | − | 1.30797i | ||||
\(306\) | 9.16712 | + | 310.253i | 0.0299579 | + | 1.01390i | ||||
\(307\) | 35.4512 | 0.115476 | 0.0577381 | − | 0.998332i | \(-0.481611\pi\) | ||||
0.0577381 | + | 0.998332i | \(0.481611\pi\) | |||||||
\(308\) | 52.5031 | − | 17.0593i | 0.170465 | − | 0.0553873i | ||||
\(309\) | −16.6820 | − | 16.1964i | −0.0539871 | − | 0.0524155i | ||||
\(310\) | −84.9053 | − | 175.861i | −0.273888 | − | 0.567295i | ||||
\(311\) | −95.7745 | − | 131.822i | −0.307957 | − | 0.423866i | 0.626786 | − | 0.779191i | \(-0.284370\pi\) |
−0.934743 | + | 0.355325i | \(0.884370\pi\) | |||||||
\(312\) | 98.1864 | − | 101.130i | 0.314700 | − | 0.324136i | ||||
\(313\) | −130.113 | − | 94.5324i | −0.415695 | − | 0.302020i | 0.360208 | − | 0.932872i | \(-0.382706\pi\) |
−0.775903 | + | 0.630852i | \(0.782706\pi\) | |||||||
\(314\) | 75.5998 | + | 104.054i | 0.240764 | + | 0.331383i | ||||
\(315\) | 87.2760 | − | 14.5479i | 0.277067 | − | 0.0461838i | ||||
\(316\) | 90.9595 | + | 66.0859i | 0.287846 | + | 0.209133i | ||||
\(317\) | −360.869 | + | 117.253i | −1.13839 | + | 0.369884i | −0.816757 | − | 0.576981i | \(-0.804231\pi\) |
−0.321629 | + | 0.946866i | \(0.604231\pi\) | |||||||
\(318\) | −219.322 | − | 31.4242i | −0.689692 | − | 0.0988182i | ||||
\(319\) | −53.5246 | − | 164.732i | −0.167789 | − | 0.516400i | ||||
\(320\) | 5.40863 | + | 39.6326i | 0.0169020 | + | 0.123852i | ||||
\(321\) | 209.116 | + | 102.689i | 0.651453 | + | 0.319902i | ||||
\(322\) | −14.2615 | + | 43.8923i | −0.0442903 | + | 0.136312i | ||||
\(323\) | −382.238 | − | 526.105i | −1.18340 | − | 1.62881i | ||||
\(324\) | −136.454 | − | 87.3169i | −0.421155 | − | 0.269497i | ||||
\(325\) | 17.8090 | − | 414.907i | 0.0547970 | − | 1.27664i | ||||
\(326\) | 355.644i | 1.09093i | ||||||||
\(327\) | 163.763 | − | 86.5114i | 0.500805 | − | 0.264561i | ||||
\(328\) | 23.0122 | − | 70.8242i | 0.0701591 | − | 0.215928i | ||||
\(329\) | 85.5709 | + | 27.8037i | 0.260094 | + | 0.0845096i | ||||
\(330\) | −283.831 | + | 90.1309i | −0.860094 | + | 0.273124i | ||||
\(331\) | −23.1042 | − | 71.1073i | −0.0698011 | − | 0.214826i | 0.910071 | − | 0.414453i | \(-0.136027\pi\) |
−0.979872 | + | 0.199627i | \(0.936027\pi\) | |||||||
\(332\) | − | 13.0536i | − | 0.0393181i | ||||||
\(333\) | 2.85354 | + | 96.5755i | 0.00856918 | + | 0.290017i | ||||
\(334\) | 133.840 | + | 97.2406i | 0.400719 | + | 0.291140i | ||||
\(335\) | 404.840 | + | 73.0531i | 1.20848 | + | 0.218069i | ||||
\(336\) | 20.8625 | − | 11.0211i | 0.0620909 | − | 0.0328009i | ||||
\(337\) | 64.7787 | + | 47.0644i | 0.192222 | + | 0.139657i | 0.679733 | − | 0.733459i | \(-0.262095\pi\) |
−0.487512 | + | 0.873116i | \(0.662095\pi\) | |||||||
\(338\) | −88.8970 | + | 122.356i | −0.263009 | + | 0.362001i | ||||
\(339\) | −308.561 | − | 584.095i | −0.910209 | − | 1.72299i | ||||
\(340\) | 214.860 | + | 115.347i | 0.631942 | + | 0.339255i | ||||
\(341\) | 227.886 | − | 313.658i | 0.668287 | − | 0.919819i | ||||
\(342\) | 339.262 | − | 10.0242i | 0.991993 | − | 0.0293106i | ||||
\(343\) | −185.089 | −0.539617 | ||||||||
\(344\) | −177.620 | + | 57.7123i | −0.516338 | + | 0.167768i | ||||
\(345\) | 78.5118 | − | 236.254i | 0.227570 | − | 0.684793i | ||||
\(346\) | −68.4477 | + | 210.661i | −0.197826 | + | 0.608845i | ||||
\(347\) | 198.460 | + | 64.4836i | 0.571931 | + | 0.185832i | 0.580683 | − | 0.814130i | \(-0.302786\pi\) |
−0.00875141 | + | 0.999962i | \(0.502786\pi\) | |||||||
\(348\) | −34.5793 | − | 65.4575i | −0.0993659 | − | 0.188096i | ||||
\(349\) | 241.027 | 0.690621 | 0.345311 | − | 0.938488i | \(-0.387774\pi\) | ||||
0.345311 | + | 0.938488i | \(0.387774\pi\) | |||||||
\(350\) | 24.2972 | − | 65.1321i | 0.0694207 | − | 0.186092i | ||||
\(351\) | 408.254 | + | 185.719i | 1.16312 | + | 0.529115i | ||||
\(352\) | −64.2463 | + | 46.6777i | −0.182518 | + | 0.132607i | ||||
\(353\) | 458.558 | + | 148.995i | 1.29903 | + | 0.422081i | 0.875245 | − | 0.483680i | \(-0.160700\pi\) |
0.423788 | + | 0.905762i | \(0.360700\pi\) | |||||||
\(354\) | 9.01028 | − | 18.3487i | 0.0254528 | − | 0.0518324i | ||||
\(355\) | −286.803 | + | 274.757i | −0.807896 | + | 0.773962i | ||||
\(356\) | −4.52424 | + | 1.47002i | −0.0127085 | + | 0.00412926i | ||||
\(357\) | 20.4020 | − | 142.393i | 0.0571484 | − | 0.398861i | ||||
\(358\) | 113.149 | + | 348.238i | 0.316060 | + | 0.972733i | ||||
\(359\) | 262.650 | − | 361.506i | 0.731615 | − | 1.00698i | −0.267443 | − | 0.963574i | \(-0.586179\pi\) |
0.999057 | − | 0.0434073i | \(-0.0138213\pi\) | |||||||
\(360\) | −112.935 | + | 58.6991i | −0.313710 | + | 0.163053i | ||||
\(361\) | −283.241 | + | 205.786i | −0.784600 | + | 0.570046i | ||||
\(362\) | 231.384 | − | 318.472i | 0.639181 | − | 0.879757i | ||||
\(363\) | −163.745 | − | 158.978i | −0.451087 | − | 0.437956i | ||||
\(364\) | −52.8483 | + | 38.3965i | −0.145188 | + | 0.105485i | ||||
\(365\) | 59.7922 | + | 438.137i | 0.163814 | + | 1.20038i | ||||
\(366\) | 237.983 | − | 245.118i | 0.650226 | − | 0.669722i | ||||
\(367\) | −122.704 | − | 377.644i | −0.334343 | − | 1.02900i | −0.967045 | − | 0.254607i | \(-0.918054\pi\) |
0.632702 | − | 0.774396i | \(-0.281946\pi\) | |||||||
\(368\) | − | 66.3887i | − | 0.180404i | ||||||
\(369\) | 236.856 | − | 6.99842i | 0.641885 | − | 0.0189659i | ||||
\(370\) | 66.8816 | + | 35.9051i | 0.180761 | + | 0.0970407i | ||||
\(371\) | 97.6558 | + | 31.7303i | 0.263223 | + | 0.0855264i | ||||
\(372\) | 73.0396 | − | 148.739i | 0.196343 | − | 0.399836i | ||||
\(373\) | 575.702 | − | 418.272i | 1.54344 | − | 1.12137i | 0.595301 | − | 0.803503i | \(-0.297033\pi\) |
0.948135 | − | 0.317869i | \(-0.102967\pi\) | |||||||
\(374\) | 484.149i | 1.29451i | ||||||||
\(375\) | −133.413 | + | 350.465i | −0.355767 | + | 0.934575i | ||||
\(376\) | −129.429 | −0.344226 | ||||||||
\(377\) | 120.471 | + | 165.815i | 0.319553 | + | 0.439827i | ||||
\(378\) | 55.3874 | + | 50.6845i | 0.146528 | + | 0.134086i | ||||
\(379\) | −154.657 | + | 475.985i | −0.408066 | + | 1.25590i | 0.510243 | + | 0.860031i | \(0.329556\pi\) |
−0.918308 | + | 0.395866i | \(0.870444\pi\) | |||||||
\(380\) | 126.131 | − | 234.950i | 0.331925 | − | 0.618288i | ||||
\(381\) | −41.3270 | − | 238.113i | −0.108470 | − | 0.624967i | ||||
\(382\) | 212.140 | 0.555340 | ||||||||
\(383\) | −473.823 | + | 153.954i | −1.23714 | + | 0.401970i | −0.853294 | − | 0.521429i | \(-0.825399\pi\) |
−0.383841 | + | 0.923399i | \(0.625399\pi\) | |||||||
\(384\) | −23.6429 | + | 24.3518i | −0.0615701 | + | 0.0634162i | ||||
\(385\) | 136.745 | − | 18.6615i | 0.355182 | − | 0.0484714i | ||||
\(386\) | −73.3480 | − | 100.955i | −0.190021 | − | 0.261541i | ||||
\(387\) | −363.350 | − | 470.248i | −0.938888 | − | 1.21511i | ||||
\(388\) | −120.895 | − | 87.8352i | −0.311584 | − | 0.226379i | ||||
\(389\) | 21.5696 | + | 29.6879i | 0.0554487 | + | 0.0763186i | 0.835841 | − | 0.548972i | \(-0.184981\pi\) |
−0.780392 | + | 0.625290i | \(0.784981\pi\) | |||||||
\(390\) | 286.462 | − | 205.217i | 0.734517 | − | 0.526199i | ||||
\(391\) | −327.446 | − | 237.903i | −0.837458 | − | 0.608449i | ||||
\(392\) | 121.410 | − | 39.4485i | 0.309720 | − | 0.100634i | ||||
\(393\) | 0.199695 | − | 1.39375i | 0.000508130 | − | 0.00354644i | ||||
\(394\) | 27.7567 | + | 85.4264i | 0.0704485 | + | 0.216818i | ||||
\(395\) | 194.445 | + | 202.971i | 0.492267 | + | 0.513850i | ||||
\(396\) | −208.728 | − | 142.425i | −0.527091 | − | 0.359659i | ||||
\(397\) | 79.7414 | − | 245.419i | 0.200860 | − | 0.618183i | −0.798998 | − | 0.601334i | \(-0.794636\pi\) |
0.999858 | − | 0.0168498i | \(-0.00536370\pi\) | |||||||
\(398\) | 59.8528 | + | 82.3804i | 0.150384 | + | 0.206986i | ||||
\(399\) | −155.707 | − | 22.3096i | −0.390244 | − | 0.0559137i | ||||
\(400\) | −4.28835 | + | 99.9080i | −0.0107209 | + | 0.249770i | ||||
\(401\) | 45.8424i | 0.114320i | 0.998365 | + | 0.0571601i | \(0.0182045\pi\) | ||||
−0.998365 | + | 0.0571601i | \(0.981795\pi\) | |||||||
\(402\) | 163.049 | + | 308.646i | 0.405594 | + | 0.767776i | ||||
\(403\) | −141.767 | + | 436.315i | −0.351780 | + | 1.08267i | ||||
\(404\) | 349.541 | + | 113.573i | 0.865200 | + | 0.281121i | ||||
\(405\) | −296.949 | − | 275.402i | −0.733208 | − | 0.680005i | ||||
\(406\) | 10.6020 | + | 32.6295i | 0.0261132 | + | 0.0803681i | ||||
\(407\) | 150.706i | 0.370284i | ||||||||
\(408\) | 35.3852 | + | 203.878i | 0.0867284 | + | 0.499700i | ||||
\(409\) | −167.062 | − | 121.378i | −0.408465 | − | 0.296767i | 0.364515 | − | 0.931197i | \(-0.381235\pi\) |
−0.772980 | + | 0.634430i | \(0.781235\pi\) | |||||||
\(410\) | 88.0587 | − | 164.030i | 0.214777 | − | 0.400073i | ||||
\(411\) | 315.506 | + | 597.241i | 0.767653 | + | 1.45314i | ||||
\(412\) | −12.5403 | − | 9.11109i | −0.0304377 | − | 0.0221143i | ||||
\(413\) | −5.56840 | + | 7.66424i | −0.0134828 | + | 0.0185575i | ||||
\(414\) | 198.893 | − | 71.1843i | 0.480417 | − | 0.171943i | ||||
\(415\) | 5.79519 | − | 32.1153i | 0.0139643 | − | 0.0773864i | ||||
\(416\) | 55.2336 | − | 76.0226i | 0.132773 | − | 0.182747i | ||||
\(417\) | 120.237 | + | 692.768i | 0.288339 | + | 1.66132i | ||||
\(418\) | 529.416 | 1.26655 | ||||||||
\(419\) | −453.180 | + | 147.247i | −1.08158 | + | 0.351425i | −0.794986 | − | 0.606628i | \(-0.792522\pi\) |
−0.286590 | + | 0.958053i | \(0.592522\pi\) | |||||||
\(420\) | 56.2202 | − | 17.8528i | 0.133858 | − | 0.0425067i | ||||
\(421\) | −17.6739 | + | 54.3946i | −0.0419807 | + | 0.129203i | −0.969850 | − | 0.243702i | \(-0.921638\pi\) |
0.927870 | + | 0.372905i | \(0.121638\pi\) | |||||||
\(422\) | −166.056 | − | 53.9548i | −0.393497 | − | 0.127855i | ||||
\(423\) | −138.778 | − | 387.754i | −0.328081 | − | 0.916676i | ||||
\(424\) | −147.708 | −0.348367 | ||||||||
\(425\) | 477.405 | + | 379.171i | 1.12331 | + | 0.892167i | ||||
\(426\) | −333.606 | − | 47.7987i | −0.783113 | − | 0.112204i | ||||
\(427\) | −128.093 | + | 93.0649i | −0.299983 | + | 0.217951i | ||||
\(428\) | 147.711 | + | 47.9943i | 0.345119 | + | 0.112136i | ||||
\(429\) | 627.966 | + | 308.369i | 1.46379 | + | 0.718808i | ||||
\(430\) | −462.614 | + | 63.1326i | −1.07585 | + | 0.146820i | ||||
\(431\) | 768.018 | − | 249.544i | 1.78194 | − | 0.578989i | 0.782877 | − | 0.622176i | \(-0.213751\pi\) |
0.999067 | + | 0.0431871i | \(0.0137512\pi\) | |||||||
\(432\) | −98.3060 | − | 44.7206i | −0.227560 | − | 0.103520i | ||||
\(433\) | 225.808 | + | 694.965i | 0.521496 | + | 1.60500i | 0.771142 | + | 0.636663i | \(0.219686\pi\) |
−0.249646 | + | 0.968337i | \(0.580314\pi\) | |||||||
\(434\) | −45.1388 | + | 62.1283i | −0.104007 | + | 0.143153i | ||||
\(435\) | −56.0143 | − | 176.394i | −0.128768 | − | 0.405504i | ||||
\(436\) | 99.8918 | − | 72.5757i | 0.229110 | − | 0.166458i | ||||
\(437\) | −260.147 | + | 358.062i | −0.595303 | + | 0.819364i | ||||
\(438\) | −261.371 | + | 269.208i | −0.596738 | + | 0.614631i | ||||
\(439\) | −683.893 | + | 496.877i | −1.55784 | + | 1.13184i | −0.620093 | + | 0.784528i | \(0.712905\pi\) |
−0.937750 | + | 0.347311i | \(0.887095\pi\) | |||||||
\(440\) | −178.786 | + | 86.3171i | −0.406331 | + | 0.196175i | ||||
\(441\) | 248.363 | + | 321.432i | 0.563182 | + | 0.728871i | ||||
\(442\) | −177.034 | − | 544.853i | −0.400528 | − | 1.23270i | ||||
\(443\) | − | 677.306i | − | 1.52891i | −0.644679 | − | 0.764454i | \(-0.723009\pi\) | ||
0.644679 | − | 0.764454i | \(-0.276991\pi\) | |||||||
\(444\) | 11.0147 | + | 63.4630i | 0.0248079 | + | 0.142935i | ||||
\(445\) | −11.7835 | + | 1.60808i | −0.0264797 | + | 0.00361366i | ||||
\(446\) | −388.088 | − | 126.098i | −0.870153 | − | 0.282730i | ||||
\(447\) | −373.958 | − | 183.636i | −0.836596 | − | 0.410818i | ||||
\(448\) | 12.7257 | − | 9.24575i | 0.0284055 | − | 0.0206378i | ||||
\(449\) | − | 74.5481i | − | 0.166031i | −0.996548 | − | 0.0830157i | \(-0.973545\pi\) | ||
0.996548 | − | 0.0830157i | \(-0.0264552\pi\) | |||||||
\(450\) | −303.911 | + | 94.2775i | −0.675357 | + | 0.209506i | ||||
\(451\) | 369.612 | 0.819539 | ||||||||
\(452\) | −258.856 | − | 356.285i | −0.572690 | − | 0.788241i | ||||
\(453\) | 84.3332 | − | 171.737i | 0.186166 | − | 0.379111i | ||||
\(454\) | −52.9138 | + | 162.852i | −0.116550 | + | 0.358705i | ||||
\(455\) | −147.067 | + | 71.0035i | −0.323224 | + | 0.156052i | ||||
\(456\) | 222.940 | − | 38.6937i | 0.488904 | − | 0.0848546i | ||||
\(457\) | 423.488 | 0.926669 | 0.463335 | − | 0.886183i | \(-0.346653\pi\) | ||||
0.463335 | + | 0.886183i | \(0.346653\pi\) | |||||||
\(458\) | 356.969 | − | 115.986i | 0.779409 | − | 0.253245i | ||||
\(459\) | −572.852 | + | 324.615i | −1.24804 | + | 0.707222i | ||||
\(460\) | 29.4734 | − | 163.334i | 0.0640727 | − | 0.355073i | ||||
\(461\) | −112.672 | − | 155.080i | −0.244409 | − | 0.336400i | 0.669135 | − | 0.743141i | \(-0.266665\pi\) |
−0.913543 | + | 0.406742i | \(0.866665\pi\) | |||||||
\(462\) | 84.0215 | + | 81.5756i | 0.181865 | + | 0.176570i | ||||
\(463\) | 489.281 | + | 355.483i | 1.05676 | + | 0.767782i | 0.973487 | − | 0.228744i | \(-0.0734620\pi\) |
0.0832750 | + | 0.996527i | \(0.473462\pi\) | |||||||
\(464\) | −29.0091 | − | 39.9276i | −0.0625196 | − | 0.0860508i | ||||
\(465\) | 245.730 | − | 333.511i | 0.528451 | − | 0.717228i | ||||
\(466\) | 89.7353 | + | 65.1965i | 0.192565 | + | 0.139907i | ||||
\(467\) | 559.518 | − | 181.798i | 1.19811 | − | 0.389290i | 0.359045 | − | 0.933320i | \(-0.383102\pi\) |
0.839066 | + | 0.544030i | \(0.183102\pi\) | |||||||
\(468\) | 286.978 | + | 83.9594i | 0.613201 | + | 0.179400i | ||||
\(469\) | −49.9905 | − | 153.855i | −0.106590 | − | 0.328049i | ||||
\(470\) | −318.430 | − | 57.4603i | −0.677510 | − | 0.122256i | ||||
\(471\) | −120.263 | + | 244.905i | −0.255335 | + | 0.519968i | ||||
\(472\) | 4.21120 | − | 12.9607i | 0.00892203 | − | 0.0274592i | ||||
\(473\) | −544.848 | − | 749.918i | −1.15190 | − | 1.58545i | ||||
\(474\) | −33.8272 | + | 236.093i | −0.0713654 | + | 0.498087i | ||||
\(475\) | 414.624 | − | 522.042i | 0.872892 | − | 1.09904i | ||||
\(476\) | − | 95.8984i | − | 0.201467i | ||||||
\(477\) | −158.378 | − | 442.515i | −0.332028 | − | 0.927705i | ||||
\(478\) | 112.181 | − | 345.256i | 0.234687 | − | 0.722293i | ||||
\(479\) | −605.197 | − | 196.640i | −1.26346 | − | 0.410523i | −0.400734 | − | 0.916195i | \(-0.631245\pi\) |
−0.862726 | + | 0.505672i | \(0.831245\pi\) | |||||||
\(480\) | −68.9790 | + | 49.4156i | −0.143706 | + | 0.102949i | ||||
\(481\) | −55.1069 | − | 169.602i | −0.114567 | − | 0.352602i | ||||
\(482\) | − | 119.815i | − | 0.248579i | ||||||
\(483\) | −96.4592 | + | 16.7415i | −0.199709 | + | 0.0346616i | ||||
\(484\) | −123.091 | − | 89.4312i | −0.254321 | − | 0.184775i | ||||
\(485\) | −258.438 | − | 269.769i | −0.532863 | − | 0.556225i | ||||
\(486\) | 28.5704 | − | 342.464i | 0.0587867 | − | 0.704659i | ||||
\(487\) | −162.751 | − | 118.246i | −0.334191 | − | 0.242804i | 0.408016 | − | 0.912975i | \(-0.366221\pi\) |
−0.742207 | + | 0.670171i | \(0.766221\pi\) | |||||||
\(488\) | 133.874 | − | 184.262i | 0.274333 | − | 0.377587i | ||||
\(489\) | −667.074 | + | 352.396i | −1.36416 | + | 0.720647i | ||||
\(490\) | 316.214 | − | 43.1535i | 0.645335 | − | 0.0880684i | ||||
\(491\) | −315.842 | + | 434.720i | −0.643263 | + | 0.885376i | −0.998784 | − | 0.0492924i | \(-0.984303\pi\) |
0.355521 | + | 0.934668i | \(0.384303\pi\) | |||||||
\(492\) | 155.646 | − | 27.0140i | 0.316353 | − | 0.0549065i | ||||
\(493\) | −300.887 | −0.610319 | ||||||||
\(494\) | −595.797 | + | 193.586i | −1.20607 | + | 0.391875i | ||||
\(495\) | −450.296 | − | 443.068i | −0.909689 | − | 0.895088i | ||||
\(496\) | 34.1370 | − | 105.063i | 0.0688247 | − | 0.211821i | ||||
\(497\) | 148.542 | + | 48.2643i | 0.298878 | + | 0.0971113i | ||||
\(498\) | 24.4844 | − | 12.9344i | 0.0491655 | − | 0.0259727i | ||||
\(499\) | −482.320 | −0.966573 | −0.483286 | − | 0.875462i | \(-0.660557\pi\) | ||||
−0.483286 | + | 0.875462i | \(0.660557\pi\) | |||||||
\(500\) | −54.9049 | + | 243.896i | −0.109810 | + | 0.487793i | ||||
\(501\) | −49.7743 | + | 347.394i | −0.0993498 | + | 0.693402i | ||||
\(502\) | −186.733 | + | 135.670i | −0.371979 | + | 0.270258i | ||||
\(503\) | 198.789 | + | 64.5904i | 0.395206 | + | 0.128410i | 0.499877 | − | 0.866097i | \(-0.333379\pi\) |
−0.104670 | + | 0.994507i | \(0.533379\pi\) | |||||||
\(504\) | 41.3441 | + | 28.2110i | 0.0820319 | + | 0.0559742i | ||||
\(505\) | 809.542 | + | 434.599i | 1.60305 | + | 0.860592i | ||||
\(506\) | 313.380 | − | 101.823i | 0.619327 | − | 0.201232i | ||||
\(507\) | −317.587 | − | 45.5035i | −0.626404 | − | 0.0897504i | ||||
\(508\) | −49.7872 | − | 153.229i | −0.0980064 | − | 0.301633i | ||||
\(509\) | 551.615 | − | 759.232i | 1.08372 | − | 1.49162i | 0.228366 | − | 0.973575i | \(-0.426662\pi\) |
0.855356 | − | 0.518040i | \(-0.173338\pi\) | |||||||
\(510\) | −3.45513 | + | 517.303i | −0.00677476 | + | 1.01432i | ||||
\(511\) | 140.682 | − | 102.211i | 0.275307 | − | 0.200022i | ||||
\(512\) | −13.3001 | + | 18.3060i | −0.0259767 | + | 0.0357538i | ||||
\(513\) | 354.966 | + | 626.414i | 0.691942 | + | 1.22108i | ||||
\(514\) | −369.020 | + | 268.109i | −0.717938 | + | 0.521612i | ||||
\(515\) | −26.8077 | − | 27.9830i | −0.0520537 | − | 0.0543359i | ||||
\(516\) | −284.248 | − | 275.973i | −0.550868 | − | 0.534832i | ||||
\(517\) | −198.511 | − | 610.953i | −0.383967 | − | 1.18173i | ||||
\(518\) | − | 29.8512i | − | 0.0576279i | ||||||
\(519\) | −462.955 | + | 80.3508i | −0.892013 | + | 0.154818i | ||||
\(520\) | 169.640 | − | 162.515i | 0.326230 | − | 0.312528i | ||||
\(521\) | −613.324 | − | 199.281i | −1.17721 | − | 0.382497i | −0.345878 | − | 0.938280i | \(-0.612419\pi\) |
−0.831328 | + | 0.555782i | \(0.812419\pi\) | |||||||
\(522\) | 88.5138 | − | 129.720i | 0.169567 | − | 0.248505i | ||||
\(523\) | 183.656 | − | 133.434i | 0.351159 | − | 0.255132i | −0.398196 | − | 0.917300i | \(-0.630364\pi\) |
0.749355 | + | 0.662168i | \(0.230364\pi\) | |||||||
\(524\) | − | 0.938657i | − | 0.00179133i | ||||||
\(525\) | 146.243 | − | 18.9635i | 0.278557 | − | 0.0361210i | ||||
\(526\) | −351.821 | −0.668861 | ||||||||
\(527\) | −395.868 | − | 544.865i | −0.751173 | − | 1.03390i | ||||
\(528\) | −151.212 | − | 74.2541i | −0.286386 | − | 0.140633i | ||||
\(529\) | 78.3463 | − | 241.125i | 0.148103 | − | 0.455813i | ||||
\(530\) | −363.400 | − | 65.5753i | −0.685661 | − | 0.123727i | ||||
\(531\) | 43.3442 | − | 1.28070i | 0.0816276 | − | 0.00241187i | ||||
\(532\) | −104.865 | −0.197114 | ||||||||
\(533\) | −415.955 | + | 135.152i | −0.780404 | + | 0.253569i | ||||
\(534\) | −7.24021 | − | 7.02944i | −0.0135584 | − | 0.0131638i | ||||
\(535\) | 342.101 | + | 183.655i | 0.639442 | + | 0.343281i | ||||
\(536\) | 136.784 | + | 188.267i | 0.255194 | + | 0.351245i | ||||
\(537\) | −541.068 | + | 557.291i | −1.00757 | + | 1.03779i | ||||
\(538\) | −336.380 | − | 244.394i | −0.625241 | − | 0.454264i | ||||
\(539\) | 372.424 | + | 512.598i | 0.690953 | + | 0.951016i | ||||
\(540\) | −222.005 | − | 153.668i | −0.411120 | − | 0.284570i | ||||
\(541\) | 775.784 | + | 563.640i | 1.43398 | + | 1.04185i | 0.989258 | + | 0.146181i | \(0.0466981\pi\) |
0.444724 | + | 0.895668i | \(0.353302\pi\) | |||||||
\(542\) | −125.077 | + | 40.6398i | −0.230768 | + | 0.0749812i | ||||
\(543\) | 826.623 | + | 118.438i | 1.52233 | + | 0.218117i | ||||
\(544\) | 42.6290 | + | 131.199i | 0.0783622 | + | 0.241174i | ||||
\(545\) | 277.981 | − | 134.208i | 0.510056 | − | 0.246253i | ||||
\(546\) | −124.385 | − | 61.0806i | −0.227812 | − | 0.111869i | ||||
\(547\) | 67.1372 | − | 206.627i | 0.122737 | − | 0.377746i | −0.870745 | − | 0.491735i | \(-0.836363\pi\) |
0.993482 | + | 0.113989i | \(0.0363629\pi\) | |||||||
\(548\) | 264.682 | + | 364.304i | 0.482997 | + | 0.664788i | ||||
\(549\) | 695.573 | + | 203.499i | 1.26698 | + | 0.370673i | ||||
\(550\) | −478.181 | + | 132.991i | −0.869420 | + | 0.241801i | ||||
\(551\) | 329.020i | 0.597132i | ||||||||
\(552\) | 124.524 | − | 65.7825i | 0.225587 | − | 0.119171i | ||||
\(553\) | 34.1567 | − | 105.123i | 0.0617662 | − | 0.190097i | ||||
\(554\) | −314.019 | − | 102.031i | −0.566822 | − | 0.184172i | ||||
\(555\) | −1.07551 | + | 161.026i | −0.00193786 | + | 0.290137i | ||||
\(556\) | 144.852 | + | 445.808i | 0.260525 | + | 0.801813i | ||||
\(557\) | 482.482i | 0.866216i | 0.901342 | + | 0.433108i | \(0.142583\pi\) | ||||
−0.901342 | + | 0.433108i | \(0.857417\pi\) | |||||||
\(558\) | 351.359 | − | 10.3817i | 0.629676 | − | 0.0186052i | ||||
\(559\) | 887.378 | + | 644.718i | 1.58744 | + | 1.15334i | ||||
\(560\) | 35.4132 | − | 17.0974i | 0.0632379 | − | 0.0305311i | ||||
\(561\) | −908.108 | + | 479.728i | −1.61873 | + | 0.855130i | ||||
\(562\) | −368.399 | − | 267.657i | −0.655514 | − | 0.476258i | ||||
\(563\) | −434.257 | + | 597.704i | −0.771327 | + | 1.06164i | 0.224859 | + | 0.974391i | \(0.427808\pi\) |
−0.996186 | + | 0.0872495i | \(0.972192\pi\) | |||||||
\(564\) | −128.247 | − | 242.767i | −0.227388 | − | 0.430439i | ||||
\(565\) | −478.681 | − | 991.475i | −0.847223 | − | 1.75482i | ||||
\(566\) | 233.336 | − | 321.159i | 0.412254 | − | 0.567419i | ||||
\(567\) | −40.1863 | + | 154.111i | −0.0708753 | + | 0.271800i | ||||
\(568\) | −224.675 | −0.395555 | ||||||||
\(569\) | 779.157 | − | 253.163i | 1.36934 | − | 0.444927i | 0.470192 | − | 0.882564i | \(-0.344185\pi\) |
0.899152 | + | 0.437637i | \(0.144185\pi\) | |||||||
\(570\) | 565.670 | + | 3.77818i | 0.992404 | + | 0.00662838i | ||||
\(571\) | −337.118 | + | 1037.54i | −0.590399 | + | 1.81706i | −0.0139857 | + | 0.999902i | \(0.504452\pi\) |
−0.576413 | + | 0.817158i | \(0.695548\pi\) | |||||||
\(572\) | 443.570 | + | 144.124i | 0.775471 | + | 0.251966i | ||||
\(573\) | 210.203 | + | 397.907i | 0.366846 | + | 0.694427i | ||||
\(574\) | −73.2114 | −0.127546 | ||||||||
\(575\) | 145.025 | − | 388.760i | 0.252217 | − | 0.676104i | ||||
\(576\) | −69.1033 | − | 20.2171i | −0.119971 | − | 0.0350992i | ||||
\(577\) | −176.091 | + | 127.938i | −0.305184 | + | 0.221729i | −0.729827 | − | 0.683631i | \(-0.760400\pi\) |
0.424643 | + | 0.905361i | \(0.360400\pi\) | |||||||
\(578\) | 411.163 | + | 133.595i | 0.711354 | + | 0.231133i | ||||
\(579\) | 116.681 | − | 237.610i | 0.201521 | − | 0.410381i | ||||
\(580\) | −53.6441 | − | 111.111i | −0.0924898 | − | 0.191571i | ||||
\(581\) | −12.2051 | + | 3.96567i | −0.0210070 | + | 0.00682559i | ||||
\(582\) | 44.9599 | − | 313.793i | 0.0772507 | − | 0.539163i | ||||
\(583\) | −226.546 | − | 697.237i | −0.388587 | − | 1.19595i | ||||
\(584\) | −147.032 | + | 202.372i | −0.251766 | + | 0.346527i | ||||
\(585\) | 668.768 | + | 333.967i | 1.14319 | + | 0.570884i | ||||
\(586\) | −201.211 | + | 146.189i | −0.343364 | + | 0.249468i | ||||
\(587\) | 620.320 | − | 853.797i | 1.05676 | − | 1.45451i | 0.173969 | − | 0.984751i | \(-0.444341\pi\) |
0.882795 | − | 0.469759i | \(-0.155659\pi\) | |||||||
\(588\) | 194.294 | + | 188.638i | 0.330433 | + | 0.320813i | ||||
\(589\) | −595.810 | + | 432.881i | −1.01156 | + | 0.734943i | ||||
\(590\) | 16.1146 | − | 30.0173i | 0.0273129 | − | 0.0508767i | ||||
\(591\) | −132.729 | + | 136.709i | −0.224584 | + | 0.231318i | ||||
\(592\) | 13.2696 | + | 40.8395i | 0.0224148 | + | 0.0689856i | ||||
\(593\) | − | 367.294i | − | 0.619383i | −0.950837 | − | 0.309692i | \(-0.899774\pi\) | ||
0.950837 | − | 0.309692i | \(-0.100226\pi\) | |||||||
\(594\) | 60.3217 | − | 532.631i | 0.101552 | − | 0.896686i | ||||
\(595\) | 42.5744 | − | 235.936i | 0.0715536 | − | 0.396530i | ||||
\(596\) | −264.149 | − | 85.8271i | −0.443203 | − | 0.144005i | ||||
\(597\) | −95.2130 | + | 193.893i | −0.159486 | + | 0.324779i | ||||
\(598\) | −315.440 | + | 229.180i | −0.527491 | + | 0.383245i | ||||
\(599\) | − | 426.421i | − | 0.711888i | −0.934507 | − | 0.355944i | \(-0.884159\pi\) | ||
0.934507 | − | 0.355944i | \(-0.115841\pi\) | |||||||
\(600\) | −191.645 | + | 90.9522i | −0.319408 | + | 0.151587i | ||||
\(601\) | 553.907 | 0.921643 | 0.460822 | − | 0.887493i | \(-0.347555\pi\) | ||||
0.460822 | + | 0.887493i | \(0.347555\pi\) | |||||||
\(602\) | 107.921 | + | 148.541i | 0.179272 | + | 0.246746i | ||||
\(603\) | −417.362 | + | 611.656i | −0.692142 | + | 1.01435i | ||||
\(604\) | 39.4154 | − | 121.308i | 0.0652573 | − | 0.200841i | ||||
\(605\) | −263.134 | − | 274.671i | −0.434933 | − | 0.454002i | ||||
\(606\) | 133.323 | + | 768.163i | 0.220005 | + | 1.26760i | ||||
\(607\) | −80.3725 | −0.132409 | −0.0662047 | − | 0.997806i | \(-0.521089\pi\) | ||||
−0.0662047 | + | 0.997806i | \(0.521089\pi\) | |||||||
\(608\) | 143.466 | − | 46.6148i | 0.235963 | − | 0.0766691i | ||||
\(609\) | −50.6973 | + | 52.2174i | −0.0832468 | + | 0.0857429i | ||||
\(610\) | 411.170 | − | 393.900i | 0.674050 | − | 0.645738i | ||||
\(611\) | 446.802 | + | 614.970i | 0.731263 | + | 1.00650i | ||||
\(612\) | −347.347 | + | 268.387i | −0.567561 | + | 0.438542i | ||||
\(613\) | 184.855 | + | 134.305i | 0.301558 | + | 0.219095i | 0.728266 | − | 0.685295i | \(-0.240327\pi\) |
−0.426708 | + | 0.904390i | \(0.640327\pi\) | |||||||
\(614\) | 29.4689 | + | 40.5605i | 0.0479950 | + | 0.0660595i | ||||
\(615\) | 394.923 | + | 2.63774i | 0.642151 | + | 0.00428900i | ||||
\(616\) | 63.1613 | + | 45.8894i | 0.102535 | + | 0.0744958i | ||||
\(617\) | −1085.82 | + | 352.805i | −1.75984 | + | 0.571808i | −0.997184 | − | 0.0749930i | \(-0.976107\pi\) |
−0.762659 | + | 0.646801i | \(0.776107\pi\) | |||||||
\(618\) | 4.66366 | − | 32.5496i | 0.00754638 | − | 0.0526692i | ||||
\(619\) | −149.702 | − | 460.735i | −0.241845 | − | 0.744321i | −0.996139 | − | 0.0877853i | \(-0.972021\pi\) |
0.754295 | − | 0.656536i | \(-0.227979\pi\) | |||||||
\(620\) | 130.629 | − | 243.328i | 0.210692 | − | 0.392464i | ||||
\(621\) | 330.595 | + | 302.525i | 0.532360 | + | 0.487158i | ||||
\(622\) | 71.2080 | − | 219.156i | 0.114482 | − | 0.352340i | ||||
\(623\) | 2.74892 | + | 3.78356i | 0.00441239 | + | 0.00607313i | ||||
\(624\) | 197.323 | + | 28.2723i | 0.316223 | + | 0.0453081i | ||||
\(625\) | −243.359 | + | 575.675i | −0.389375 | + | 0.921079i | ||||
\(626\) | − | 227.445i | − | 0.363331i | ||||||
\(627\) | 524.582 | + | 993.016i | 0.836654 | + | 1.58376i | ||||
\(628\) | −56.2081 | + | 172.991i | −0.0895034 | + | 0.275463i | ||||
\(629\) | 248.982 | + | 80.8993i | 0.395838 | + | 0.128616i | ||||
\(630\) | 89.1931 | + | 87.7614i | 0.141576 | + | 0.139304i | ||||
\(631\) | −155.865 | − | 479.702i | −0.247012 | − | 0.760226i | −0.995299 | − | 0.0968502i | \(-0.969123\pi\) |
0.748287 | − | 0.663375i | \(-0.230877\pi\) | |||||||
\(632\) | 159.003i | 0.251587i | ||||||||
\(633\) | −63.3375 | − | 364.930i | −0.100059 | − | 0.576508i | ||||
\(634\) | −434.126 | − | 315.411i | −0.684741 | − | 0.497493i | ||||
\(635\) | −54.4632 | − | 399.088i | −0.0857688 | − | 0.628485i | ||||
\(636\) | −146.359 | − | 277.053i | −0.230124 | − | 0.435618i | ||||
\(637\) | −606.556 | − | 440.689i | −0.952207 | − | 0.691819i | ||||
\(638\) | 143.981 | − | 198.173i | 0.225675 | − | 0.310615i | ||||
\(639\) | −240.905 | − | 673.101i | −0.377003 | − | 1.05337i | ||||
\(640\) | −40.8487 | + | 39.1329i | −0.0638260 | + | 0.0611452i | ||||
\(641\) | 105.918 | − | 145.783i | 0.165238 | − | 0.227431i | −0.718366 | − | 0.695665i | \(-0.755110\pi\) |
0.883604 | + | 0.468234i | \(0.155110\pi\) | |||||||
\(642\) | 56.3404 | + | 324.615i | 0.0877577 | + | 0.505631i | ||||
\(643\) | −433.259 | −0.673809 | −0.336904 | − | 0.941539i | \(-0.609380\pi\) | ||||
−0.336904 | + | 0.941539i | \(0.609380\pi\) | |||||||
\(644\) | −62.0731 | + | 20.1688i | −0.0963868 | + | 0.0313180i | ||||
\(645\) | −576.807 | − | 805.161i | −0.894274 | − | 1.24831i | ||||
\(646\) | 284.192 | − | 874.654i | 0.439926 | − | 1.35395i | ||||
\(647\) | 303.699 | + | 98.6777i | 0.469395 | + | 0.152516i | 0.534158 | − | 0.845385i | \(-0.320629\pi\) |
−0.0647623 | + | 0.997901i | \(0.520629\pi\) | |||||||
\(648\) | −13.5269 | − | 228.703i | −0.0208748 | − | 0.352937i | ||||
\(649\) | 67.6385 | 0.104220 | ||||||||
\(650\) | 489.508 | − | 324.517i | 0.753089 | − | 0.499257i | ||||
\(651\) | −161.260 | − | 23.1051i | −0.247710 | − | 0.0354917i | ||||
\(652\) | −406.900 | + | 295.630i | −0.624080 | + | 0.453421i | ||||
\(653\) | 344.108 | + | 111.807i | 0.526964 | + | 0.171221i | 0.560403 | − | 0.828220i | \(-0.310646\pi\) |
−0.0334394 | + | 0.999441i | \(0.510646\pi\) | |||||||
\(654\) | 235.108 | + | 115.452i | 0.359493 | + | 0.176532i | ||||
\(655\) | 0.416719 | − | 2.30935i | 0.000636213 | − | 0.00352572i | ||||
\(656\) | 100.161 | − | 32.5442i | 0.152684 | − | 0.0496100i | ||||
\(657\) | −763.934 | − | 223.499i | −1.16276 | − | 0.340182i | ||||
\(658\) | 39.3203 | + | 121.015i | 0.0597573 | + | 0.183914i | ||||
\(659\) | 499.970 | − | 688.149i | 0.758680 | − | 1.04423i | −0.238643 | − | 0.971107i | \(-0.576703\pi\) |
0.997323 | − | 0.0731255i | \(-0.0232974\pi\) | |||||||
\(660\) | −339.056 | − | 249.816i | −0.513722 | − | 0.378509i | ||||
\(661\) | 563.832 | − | 409.648i | 0.852998 | − | 0.619739i | −0.0729731 | − | 0.997334i | \(-0.523249\pi\) |
0.925971 | + | 0.377595i | \(0.123249\pi\) | |||||||
\(662\) | 62.1501 | − | 85.5422i | 0.0938823 | − | 0.129218i | ||||
\(663\) | 846.554 | − | 871.936i | 1.27685 | − | 1.31514i | ||||
\(664\) | 14.9349 | − | 10.8509i | 0.0224924 | − | 0.0163417i | ||||
\(665\) | −257.995 | − | 46.5551i | −0.387963 | − | 0.0700076i | ||||
\(666\) | −108.122 | + | 83.5436i | −0.162346 | + | 0.125441i | ||||
\(667\) | 63.2808 | + | 194.758i | 0.0948737 | + | 0.291991i | ||||
\(668\) | 233.961i | 0.350242i | ||||||||
\(669\) | −148.026 | − | 852.876i | −0.221264 | − | 1.27485i | ||||
\(670\) | 252.943 | + | 523.913i | 0.377527 | + | 0.781959i | ||||
\(671\) | 1075.12 | + | 349.327i | 1.60226 | + | 0.520606i | ||||
\(672\) | 29.9515 | + | 14.7080i | 0.0445708 | + | 0.0218869i | ||||
\(673\) | −485.935 | + | 353.052i | −0.722043 | + | 0.524595i | −0.887036 | − | 0.461700i | \(-0.847240\pi\) |
0.164994 | + | 0.986295i | \(0.447240\pi\) | |||||||
\(674\) | 113.237i | 0.168008i | ||||||||
\(675\) | −477.970 | − | 476.623i | −0.708104 | − | 0.706108i | ||||
\(676\) | −213.887 | −0.316400 | ||||||||
\(677\) | 341.863 | + | 470.534i | 0.504968 | + | 0.695029i | 0.983061 | − | 0.183281i | \(-0.0586717\pi\) |
−0.478093 | + | 0.878309i | \(0.658672\pi\) | |||||||
\(678\) | 411.784 | − | 838.563i | 0.607351 | − | 1.23682i | ||||
\(679\) | −45.3979 | + | 139.720i | −0.0668599 | + | 0.205774i | ||||
\(680\) | 46.6327 | + | 341.709i | 0.0685775 | + | 0.502513i | ||||
\(681\) | −357.889 | + | 62.1155i | −0.525534 | + | 0.0912122i | ||||
\(682\) | 548.295 | 0.803951 | ||||||||
\(683\) | 101.392 | − | 32.9442i | 0.148451 | − | 0.0482345i | −0.233849 | − | 0.972273i | \(-0.575132\pi\) |
0.382300 | + | 0.924038i | \(0.375132\pi\) | |||||||
\(684\) | 293.482 | + | 379.824i | 0.429067 | + | 0.555299i | ||||
\(685\) | 489.455 | + | 1013.79i | 0.714532 | + | 1.47999i | ||||
\(686\) | −153.856 | − | 211.764i | −0.224279 | − | 0.308694i | ||||
\(687\) | 571.263 | + | 554.633i | 0.831533 | + | 0.807327i | ||||
\(688\) | −213.677 | − | 155.246i | −0.310578 | − | 0.225648i | ||||
\(689\) | 509.902 | + | 701.821i | 0.740062 | + | 1.01861i | ||||
\(690\) | 335.566 | − | 106.560i | 0.486328 | − | 0.154434i | ||||
\(691\) | 714.838 | + | 519.360i | 1.03450 | + | 0.751607i | 0.969204 | − | 0.246259i | \(-0.0792015\pi\) |
0.0652941 | + | 0.997866i | \(0.479201\pi\) | |||||||
\(692\) | −297.919 | + | 96.7997i | −0.430519 | + | 0.139884i | ||||
\(693\) | −69.7554 | + | 238.428i | −0.100657 | + | 0.344052i | ||||
\(694\) | 91.1936 | + | 280.665i | 0.131403 | + | 0.404416i | ||||
\(695\) | 158.456 | + | 1161.11i | 0.227994 | + | 1.67067i | ||||
\(696\) | 46.1472 | − | 93.9748i | 0.0663035 | − | 0.135021i | ||||
\(697\) | 198.409 | − | 610.640i | 0.284661 | − | 0.876097i | ||||
\(698\) | 200.354 | + | 275.764i | 0.287041 | + | 0.395078i | ||||
\(699\) | −33.3719 | + | 232.916i | −0.0477424 | + | 0.333213i | ||||
\(700\) | 94.7164 | − | 26.3423i | 0.135309 | − | 0.0376319i | ||||
\(701\) | − | 1159.86i | − | 1.65458i | −0.561778 | − | 0.827288i | \(-0.689882\pi\) | ||
0.561778 | − | 0.827288i | \(-0.310118\pi\) | |||||||
\(702\) | 126.877 | + | 621.472i | 0.180736 | + | 0.885288i | ||||
\(703\) | 88.4633 | − | 272.262i | 0.125837 | − | 0.387286i | ||||
\(704\) | −106.810 | − | 34.7047i | −0.151719 | − | 0.0492964i | ||||
\(705\) | −207.745 | − | 654.208i | −0.294673 | − | 0.927954i | ||||
\(706\) | 210.710 | + | 648.500i | 0.298456 | + | 0.918555i | ||||
\(707\) | − | 361.322i | − | 0.511064i | ||||||
\(708\) | 28.4830 | − | 4.94353i | 0.0402302 | − | 0.00698238i | ||||
\(709\) | −598.972 | − | 435.179i | −0.844812 | − | 0.613792i | 0.0788985 | − | 0.996883i | \(-0.474860\pi\) |
−0.923711 | + | 0.383091i | \(0.874860\pi\) | |||||||
\(710\) | −552.761 | − | 99.7453i | −0.778537 | − | 0.140486i | ||||
\(711\) | −476.354 | + | 170.489i | −0.669978 | + | 0.239787i | ||||
\(712\) | −5.44267 | − | 3.95433i | −0.00764420 | − | 0.00555384i | ||||
\(713\) | −269.424 | + | 370.830i | −0.377874 | + | 0.520098i | ||||
\(714\) | 179.875 | − | 95.0228i | 0.251926 | − | 0.133085i | ||||
\(715\) | 1027.31 | + | 551.508i | 1.43680 | + | 0.771340i | ||||
\(716\) | −304.371 | + | 418.931i | −0.425100 | + | 0.585100i | ||||
\(717\) | 758.747 | − | 131.689i | 1.05822 | − | 0.183666i | ||||
\(718\) | 631.936 | 0.880134 | ||||||||
\(719\) | −321.444 | + | 104.444i | −0.447071 | + | 0.145262i | −0.523896 | − | 0.851782i | \(-0.675522\pi\) |
0.0768244 | + | 0.997045i | \(0.475522\pi\) | |||||||
\(720\) | −161.037 | − | 80.4181i | −0.223663 | − | 0.111692i | ||||
\(721\) | −4.70909 | + | 14.4931i | −0.00653134 | + | 0.0201014i | ||||
\(722\) | −470.890 | − | 153.001i | −0.652202 | − | 0.211913i | ||||
\(723\) | 224.735 | − | 118.721i | 0.310836 | − | 0.164206i | ||||
\(724\) | 556.710 | 0.768936 | ||||||||
\(725\) | −82.6506 | − | 297.178i | −0.114001 | − | 0.409901i | ||||
\(726\) | 45.7769 | − | 319.495i | 0.0630535 | − | 0.440076i | ||||
\(727\) | 427.737 | − | 310.769i | 0.588358 | − | 0.427467i | −0.253369 | − | 0.967370i | \(-0.581539\pi\) |
0.841728 | + | 0.539902i | \(0.181539\pi\) | |||||||
\(728\) | −87.8607 | − | 28.5477i | −0.120688 | − | 0.0392138i | ||||
\(729\) | 670.663 | − | 285.748i | 0.919977 | − | 0.391973i | ||||
\(730\) | −451.580 | + | 432.613i | −0.618603 | + | 0.592620i | ||||
\(731\) | −1531.42 | + | 497.590i | −2.09497 | + | 0.680697i | ||||
\(732\) | 478.269 | + | 68.5259i | 0.653373 | + | 0.0936146i | ||||
\(733\) | −246.172 | − | 757.640i | −0.335842 | − | 1.03362i | −0.966306 | − | 0.257397i | \(-0.917135\pi\) |
0.630464 | − | 0.776219i | \(-0.282865\pi\) | |||||||
\(734\) | 330.073 | − | 454.306i | 0.449690 | − | 0.618946i | ||||
\(735\) | 394.269 | + | 550.358i | 0.536421 | + | 0.748786i | ||||
\(736\) | 75.9568 | − | 55.1858i | 0.103202 | − | 0.0749808i | ||||
\(737\) | −678.900 | + | 934.426i | −0.921167 | + | 1.26788i | ||||
\(738\) | 204.894 | + | 265.174i | 0.277634 | + | 0.359315i | ||||
\(739\) | 792.062 | − | 575.467i | 1.07180 | − | 0.778710i | 0.0955670 | − | 0.995423i | \(-0.469534\pi\) |
0.976235 | + | 0.216713i | \(0.0695336\pi\) | |||||||
\(740\) | 14.5158 | + | 106.367i | 0.0196160 | + | 0.143739i | ||||
\(741\) | −953.462 | − | 925.706i | −1.28672 | − | 1.24927i | ||||
\(742\) | 44.8734 | + | 138.106i | 0.0604763 | + | 0.186127i | ||||
\(743\) | 570.357i | 0.767640i | 0.923408 | + | 0.383820i | \(0.125392\pi\) | ||||
−0.923408 | + | 0.383820i | \(0.874608\pi\) | |||||||
\(744\) | 230.890 | − | 40.0735i | 0.310336 | − | 0.0538622i | ||||
\(745\) | −611.773 | − | 328.427i | −0.821172 | − | 0.440842i | ||||
\(746\) | 957.108 | + | 310.983i | 1.28299 | + | 0.416868i | ||||
\(747\) | 48.5217 | + | 33.1086i | 0.0649554 | + | 0.0443221i | ||||
\(748\) | −553.925 | + | 402.450i | −0.740542 | + | 0.538035i | ||||
\(749\) | − | 152.690i | − | 0.203858i | ||||||
\(750\) | −511.875 | + | 138.685i | −0.682501 | + | 0.184914i | ||||
\(751\) | 303.043 | 0.403519 | 0.201759 | − | 0.979435i | \(-0.435334\pi\) | ||||
0.201759 | + | 0.979435i | \(0.435334\pi\) | |||||||
\(752\) | −107.588 | − | 148.083i | −0.143070 | − | 0.196918i | ||||
\(753\) | −439.501 | − | 215.821i | −0.583667 | − | 0.286615i | ||||
\(754\) | −89.5700 | + | 275.668i | −0.118793 | + | 0.365608i | ||||
\(755\) | 150.827 | − | 280.952i | 0.199771 | − | 0.372121i | ||||
\(756\) | −11.9483 | + | 105.502i | −0.0158046 | + | 0.139553i | ||||
\(757\) | 567.569 | 0.749761 | 0.374881 | − | 0.927073i | \(-0.377684\pi\) | ||||
0.374881 | + | 0.927073i | \(0.377684\pi\) | |||||||
\(758\) | −673.144 | + | 218.718i | −0.888053 | + | 0.288546i | ||||
\(759\) | 501.506 | + | 486.907i | 0.660746 | + | 0.641511i | ||||
\(760\) | 373.659 | − | 50.9929i | 0.491656 | − | 0.0670959i | ||||
\(761\) | −105.081 | − | 144.632i | −0.138083 | − | 0.190055i | 0.734375 | − | 0.678744i | \(-0.237475\pi\) |
−0.872458 | + | 0.488689i | \(0.837475\pi\) | |||||||
\(762\) | 238.077 | − | 245.215i | 0.312437 | − | 0.321805i | ||||
\(763\) | −98.2049 | − | 71.3500i | −0.128709 | − | 0.0935125i | ||||
\(764\) | 176.342 | + | 242.714i | 0.230814 | + | 0.317689i | ||||
\(765\) | −973.718 | + | 506.098i | −1.27283 | + | 0.661567i | ||||
\(766\) | −570.010 | − | 414.136i | −0.744138 | − | 0.540648i | ||||
\(767\) | −76.1193 | + | 24.7327i | −0.0992429 | + | 0.0322460i | ||||
\(768\) | −47.5148 | − | 6.80786i | −0.0618682 | − | 0.00886440i | ||||
\(769\) | 216.677 | + | 666.862i | 0.281764 | + | 0.867181i | 0.987350 | + | 0.158556i | \(0.0506839\pi\) |
−0.705586 | + | 0.708624i | \(0.749316\pi\) | |||||||
\(770\) | 135.021 | + | 140.941i | 0.175352 | + | 0.183040i | ||||
\(771\) | −868.537 | − | 426.503i | −1.12651 | − | 0.553182i | ||||
\(772\) | 54.5339 | − | 167.838i | 0.0706398 | − | 0.217407i | ||||
\(773\) | 569.385 | + | 783.691i | 0.736591 | + | 1.01383i | 0.998808 | + | 0.0488215i | \(0.0155465\pi\) |
−0.262217 | + | 0.965009i | \(0.584453\pi\) | |||||||
\(774\) | 235.986 | − | 806.612i | 0.304891 | − | 1.04213i | ||||
\(775\) | 429.408 | − | 540.657i | 0.554075 | − | 0.697622i | ||||
\(776\) | − | 211.332i | − | 0.272335i | ||||||
\(777\) | 55.9914 | − | 29.5787i | 0.0720610 | − | 0.0380678i | ||||
\(778\) | −16.0369 | + | 49.3564i | −0.0206130 | + | 0.0634402i | ||||
\(779\) | −667.734 | − | 216.960i | −0.857169 | − | 0.278511i | ||||
\(780\) | 472.916 | + | 157.160i | 0.606303 | + | 0.201487i | ||||
\(781\) | −344.595 | − | 1060.55i | −0.441222 | − | 1.35794i | ||||
\(782\) | − | 572.397i | − | 0.731965i | ||||||
\(783\) | 331.018 | + | 37.4885i | 0.422756 | + | 0.0478781i | ||||
\(784\) | 146.057 | + | 106.116i | 0.186297 | + | 0.135352i | ||||
\(785\) | −215.087 | + | 400.650i | −0.273996 | + | 0.510382i | ||||
\(786\) | 1.76062 | − | 0.930086i | 0.00223998 | − | 0.00118332i | ||||
\(787\) | −306.569 | − | 222.736i | −0.389542 | − | 0.283019i | 0.375726 | − | 0.926731i | \(-0.377393\pi\) |
−0.765268 | + | 0.643712i | \(0.777393\pi\) | |||||||
\(788\) | −74.6654 | + | 102.768i | −0.0947531 | + | 0.130416i | ||||
\(789\) | −348.608 | − | 659.904i | −0.441836 | − | 0.836380i | ||||
\(790\) | −70.5898 | + | 391.189i | −0.0893542 | + | 0.495177i | ||||
\(791\) | −254.485 | + | 350.268i | −0.321725 | + | 0.442817i | ||||
\(792\) | −10.5543 | − | 357.202i | −0.0133262 | − | 0.451012i | ||||
\(793\) | −1337.65 | −1.68683 | ||||||||
\(794\) | 347.075 | − | 112.771i | 0.437122 | − | 0.142029i | ||||
\(795\) | −237.084 | − | 746.600i | −0.298219 | − | 0.939119i | ||||
\(796\) | −44.5004 | + | 136.958i | −0.0559050 | + | 0.172058i | ||||
\(797\) | 477.775 | + | 155.238i | 0.599466 | + | 0.194778i | 0.593002 | − | 0.805201i | \(-0.297942\pi\) |
0.00646398 | + | 0.999979i | \(0.497942\pi\) | |||||||
\(798\) | −103.907 | − | 196.693i | −0.130210 | − | 0.246483i | ||||
\(799\) | −1115.92 | −1.39665 | ||||||||
\(800\) | −117.872 | + | 78.1425i | −0.147340 | + | 0.0976781i | ||||
\(801\) | 6.01089 | − | 20.5456i | 0.00750424 | − | 0.0256499i | ||||
\(802\) | −52.4493 | + | 38.1067i | −0.0653981 | + | 0.0475145i | ||||
\(803\) | −1180.78 | − | 383.658i | −1.47046 | − | 0.477781i | ||||
\(804\) | −217.594 | + | 443.111i | −0.270639 | + | 0.551133i | ||||
\(805\) | −161.670 | + | 22.0630i | −0.200833 | + | 0.0274075i | ||||
\(806\) | −617.042 | + | 200.489i | −0.765561 | + | 0.248746i | ||||
\(807\) | 125.097 | − | 873.103i | 0.155015 | − | 1.08191i | ||||
\(808\) | 160.616 | + | 494.325i | 0.198782 | + | 0.611789i | ||||
\(809\) | −426.434 | + | 586.936i | −0.527112 | + | 0.725508i | −0.986687 | − | 0.162631i | \(-0.948002\pi\) |
0.459575 | + | 0.888139i | \(0.348002\pi\) | |||||||
\(810\) | 68.2536 | − | 568.675i | 0.0842637 | − | 0.702068i | ||||
\(811\) | 641.184 | − | 465.847i | 0.790609 | − | 0.574411i | −0.117535 | − | 0.993069i | \(-0.537499\pi\) |
0.908144 | + | 0.418658i | \(0.137499\pi\) | |||||||
\(812\) | −28.5192 | + | 39.2533i | −0.0351222 | + | 0.0483415i | ||||
\(813\) | −200.162 | − | 194.335i | −0.246201 | − | 0.239034i | ||||
\(814\) | −172.426 | + | 125.275i | −0.211825 | + | 0.153900i | ||||
\(815\) | −1132.33 | + | 546.685i | −1.38936 | + | 0.670779i | ||||
\(816\) | −203.847 | + | 209.959i | −0.249813 | + | 0.257303i | ||||
\(817\) | 544.114 | + | 1674.61i | 0.665991 | + | 2.04971i | ||||
\(818\) | − | 292.035i | − | 0.357012i | ||||||
\(819\) | −8.68186 | − | 293.830i | −0.0106006 | − | 0.358767i | ||||
\(820\) | 260.870 | − | 35.6007i | 0.318134 | − | 0.0434155i | ||||
\(821\) | 280.738 | + | 91.2174i | 0.341947 | + | 0.111105i | 0.474956 | − | 0.880010i | \(-0.342464\pi\) |
−0.133009 | + | 0.991115i | \(0.542464\pi\) | |||||||
\(822\) | −421.052 | + | 857.436i | −0.512229 | + | 1.04311i | ||||
\(823\) | 115.386 | − | 83.8329i | 0.140202 | − | 0.101863i | −0.515474 | − | 0.856905i | \(-0.672384\pi\) |
0.655675 | + | 0.755043i | \(0.272384\pi\) | |||||||
\(824\) | − | 21.9213i | − | 0.0266035i | ||||||
\(825\) | −723.262 | − | 765.138i | −0.876682 | − | 0.927440i | ||||
\(826\) | −13.3976 | −0.0162198 | ||||||||
\(827\) | −790.018 | − | 1087.37i | −0.955281 | − | 1.31483i | −0.949141 | − | 0.314851i | \(-0.898046\pi\) |
−0.00614000 | − | 0.999981i | \(-0.501954\pi\) | |||||||
\(828\) | 246.774 | + | 168.385i | 0.298036 | + | 0.203364i | ||||
\(829\) | −309.964 | + | 953.972i | −0.373901 | + | 1.15075i | 0.570316 | + | 0.821426i | \(0.306821\pi\) |
−0.944217 | + | 0.329324i | \(0.893179\pi\) | |||||||
\(830\) | 41.5612 | − | 20.0656i | 0.0500737 | − | 0.0241754i | ||||
\(831\) | −119.774 | − | 690.099i | −0.144133 | − | 0.830444i | ||||
\(832\) | 132.892 | 0.159726 | ||||||||
\(833\) | 1046.79 | − | 340.121i | 1.25665 | − | 0.408309i | ||||
\(834\) | −692.664 | + | 713.433i | −0.830533 | + | 0.855435i | ||||
\(835\) | −103.868 | + | 575.607i | −0.124393 | + | 0.689350i | ||||
\(836\) | 440.079 | + | 605.717i | 0.526411 | + | 0.724542i | ||||
\(837\) | 367.624 | + | 648.751i | 0.439216 | + | 0.775091i | ||||
\(838\) | −545.177 | − | 396.094i | −0.650569 | − | 0.472666i | ||||
\(839\) | −4.08817 | − | 5.62688i | −0.00487267 | − | 0.00670665i | 0.806574 | − | 0.591134i | \(-0.201319\pi\) |
−0.811446 | + | 0.584427i | \(0.801319\pi\) | |||||||
\(840\) | 67.1591 | + | 49.4826i | 0.0799513 | + | 0.0589079i | ||||
\(841\) | −557.224 | − | 404.847i | −0.662573 | − | 0.481387i | ||||
\(842\) | −76.9256 | + | 24.9946i | −0.0913605 | + | 0.0296848i | ||||
\(843\) | 137.005 | − | 956.211i | 0.162521 | − | 1.13430i | ||||
\(844\) | −76.3036 | − | 234.838i | −0.0904071 | − | 0.278245i | ||||
\(845\) | −526.218 | − | 94.9556i | −0.622743 | − | 0.112373i | ||||
\(846\) | 328.278 | − | 481.101i | 0.388036 | − | 0.568678i | ||||
\(847\) | −46.2228 | + | 142.259i | −0.0545723 | + | 0.167956i | ||||
\(848\) | −122.783 | − | 168.996i | −0.144791 | − | 0.199288i | ||||
\(849\) | 833.597 | + | 119.437i | 0.981857 | + | 0.140679i | ||||
\(850\) | −36.9737 | + | 861.397i | −0.0434985 | + | 1.01341i | ||||
\(851\) | − | 178.175i | − | 0.209372i | ||||||
\(852\) | −222.624 | − | 421.420i | −0.261296 | − | 0.494624i | ||||
\(853\) | −189.936 | + | 584.563i | −0.222668 | + | 0.685302i | 0.775852 | + | 0.630915i | \(0.217320\pi\) |
−0.998520 | + | 0.0543868i | \(0.982680\pi\) | |||||||
\(854\) | −212.955 | − | 69.1934i | −0.249362 | − | 0.0810227i | ||||
\(855\) | 553.418 | + | 1064.76i | 0.647273 | + | 1.24533i | ||||
\(856\) | 67.8741 | + | 208.895i | 0.0792922 | + | 0.244036i | ||||
\(857\) | − | 12.1486i | − | 0.0141758i | −0.999975 | − | 0.00708789i | \(-0.997744\pi\) | ||
0.999975 | − | 0.00708789i | \(-0.00225616\pi\) | |||||||
\(858\) | 169.188 | + | 974.803i | 0.197188 | + | 1.13613i | ||||
\(859\) | 1119.50 | + | 813.365i | 1.30326 | + | 0.946874i | 0.999982 | − | 0.00602787i | \(-0.00191874\pi\) |
0.303279 | + | 0.952902i | \(0.401919\pi\) | |||||||
\(860\) | −456.781 | − | 476.808i | −0.531141 | − | 0.554428i | ||||
\(861\) | −72.5429 | − | 137.321i | −0.0842543 | − | 0.159490i | ||||
\(862\) | 923.927 | + | 671.272i | 1.07184 | + | 0.778738i | ||||
\(863\) | 262.716 | − | 361.597i | 0.304422 | − | 0.419000i | −0.629210 | − | 0.777235i | \(-0.716621\pi\) |
0.933631 | + | 0.358235i | \(0.116621\pi\) | |||||||
\(864\) | −30.5514 | − | 149.648i | −0.0353605 | − | 0.173204i | ||||
\(865\) | −775.934 | + | 105.891i | −0.897034 | + | 0.122417i | ||||
\(866\) | −607.422 | + | 836.044i | −0.701411 | + | 0.965409i | ||||
\(867\) | 156.827 | + | 903.585i | 0.180885 | + | 1.04220i | ||||
\(868\) | −108.604 | −0.125120 | ||||||||
\(869\) | −750.554 | + | 243.870i | −0.863699 | + | 0.280633i | ||||
\(870\) | 155.255 | − | 210.716i | 0.178454 | − | 0.242202i | ||||
\(871\) | 422.342 | − | 1299.83i | 0.484893 | − | 1.49235i | ||||
\(872\) | 166.071 | + | 53.9597i | 0.190448 | + | 0.0618804i | ||||
\(873\) | 633.125 | − | 226.597i | 0.725229 | − | 0.259562i | ||||
\(874\) | −625.916 | −0.716151 | ||||||||
\(875\) | 244.722 | − | 22.7595i | 0.279682 | − | 0.0260109i | ||||
\(876\) | −525.273 | − | 75.2606i | −0.599627 | − | 0.0859139i | ||||
\(877\) | 267.255 | − | 194.172i | 0.304738 | − | 0.221405i | −0.424897 | − | 0.905241i | \(-0.639690\pi\) |
0.729635 | + | 0.683837i | \(0.239690\pi\) | |||||||
\(878\) | −1136.98 | − | 369.426i | −1.29496 | − | 0.420759i | ||||
\(879\) | −473.577 | − | 232.554i | −0.538768 | − | 0.264567i | ||||
\(880\) | −247.374 | − | 132.801i | −0.281106 | − | 0.150911i | ||||
\(881\) | 445.615 | − | 144.789i | 0.505806 | − | 0.164346i | −0.0449879 | − | 0.998988i | \(-0.514325\pi\) |
0.550794 | + | 0.834641i | \(0.314325\pi\) | |||||||
\(882\) | −161.305 | + | 551.350i | −0.182885 | + | 0.625113i | ||||
\(883\) | −77.0790 | − | 237.225i | −0.0872922 | − | 0.268658i | 0.897876 | − | 0.440248i | \(-0.145109\pi\) |
−0.985168 | + | 0.171590i | \(0.945109\pi\) | |||||||
\(884\) | 476.219 | − | 655.459i | 0.538709 | − | 0.741470i | ||||
\(885\) | 72.2703 | + | 0.482702i | 0.0816614 | + | 0.000545426i | ||||
\(886\) | 774.921 | − | 563.013i | 0.874629 | − | 0.635455i | ||||
\(887\) | 731.406 | − | 1006.69i | 0.824585 | − | 1.13494i | −0.164322 | − | 0.986407i | \(-0.552544\pi\) |
0.988907 | − | 0.148537i | \(-0.0474563\pi\) | |||||||
\(888\) | −63.4535 | + | 65.3560i | −0.0714566 | + | 0.0735991i | ||||
\(889\) | −128.143 | + | 93.1017i | −0.144143 | + | 0.104726i | ||||
\(890\) | −11.6349 | − | 12.1450i | −0.0130729 | − | 0.0136461i | ||||
\(891\) | 1058.82 | − | 414.624i | 1.18835 | − | 0.465346i | ||||
\(892\) | −178.329 | − | 548.840i | −0.199920 | − | 0.615291i | ||||
\(893\) | 1220.26i | 1.36648i | ||||||||
\(894\) | −100.752 | − | 580.502i | −0.112699 | − | 0.649331i | ||||
\(895\) | −934.820 | + | 895.556i | −1.04449 | + | 1.00062i | ||||
\(896\) | 21.1565 | + | 6.87418i | 0.0236122 | + | 0.00767207i | ||||
\(897\) | −742.429 | − | 364.577i | −0.827680 | − | 0.406440i | ||||
\(898\) | 85.2922 | − | 61.9684i | 0.0949802 | − | 0.0690071i | ||||
\(899\) | 340.752i | 0.379035i | ||||||||
\(900\) | −360.492 | − | 269.343i | −0.400547 | − | 0.299270i | ||||
\(901\) | −1273.52 | −1.41345 | ||||||||
\(902\) | 307.241 | + | 422.881i | 0.340622 | + | 0.468826i | ||||
\(903\) | −171.680 | + | 349.611i | −0.190122 | + | 0.387166i | ||||
\(904\) | 192.458 | − | 592.326i | 0.212897 | − | 0.655228i | ||||
\(905\) | 1369.65 | + | 247.153i | 1.51343 | + | 0.273097i | ||||
\(906\) | 266.591 | − | 46.2697i | 0.294250 | − | 0.0510703i | ||||
\(907\) | 254.138 | 0.280197 | 0.140098 | − | 0.990138i | \(-0.455258\pi\) | ||||
0.140098 | + | 0.990138i | \(0.455258\pi\) | |||||||
\(908\) | −230.307 | + | 74.8314i | −0.253642 | + | 0.0824134i | ||||
\(909\) | −1308.72 | + | 1011.22i | −1.43974 | + | 1.11245i | ||||
\(910\) | −203.487 | − | 109.241i | −0.223612 | − | 0.120045i | ||||
\(911\) | −180.548 | − | 248.503i | −0.198186 | − | 0.272780i | 0.698344 | − | 0.715762i | \(-0.253921\pi\) |
−0.896530 | + | 0.442982i | \(0.853921\pi\) | |||||||
\(912\) | 229.590 | + | 222.907i | 0.251744 | + | 0.244415i | ||||
\(913\) | 74.1265 | + | 53.8561i | 0.0811901 | + | 0.0589880i | ||||
\(914\) | 352.026 | + | 484.522i | 0.385149 | + | 0.530112i | ||||
\(915\) | 1146.25 | + | 380.921i | 1.25273 | + | 0.416307i | ||||
\(916\) | 429.435 | + | 312.003i | 0.468815 | + | 0.340614i | ||||
\(917\) | −0.877640 | + | 0.285163i | −0.000957078 | + | 0.000310973i | ||||
\(918\) | −847.585 | − | 385.576i | −0.923295 | − | 0.420018i | ||||
\(919\) | −95.9941 | − | 295.440i | −0.104455 | − | 0.321479i | 0.885147 | − | 0.465311i | \(-0.154058\pi\) |
−0.989602 | + | 0.143832i | \(0.954058\pi\) | |||||||
\(920\) | 211.374 | − | 102.051i | 0.229754 | − | 0.110925i | ||||
\(921\) | −46.8787 | + | 95.4645i | −0.0508998 | + | 0.103653i | ||||
\(922\) | 83.7715 | − | 257.822i | 0.0908584 | − | 0.279633i | ||||
\(923\) | 775.603 | + | 1067.53i | 0.840306 | + | 1.15658i | ||||
\(924\) | −23.4893 | + | 163.941i | −0.0254213 | + | 0.177425i | ||||
\(925\) | −11.5092 | + | 268.135i | −0.0124424 | + | 0.289876i | ||||
\(926\) | 855.294i | 0.923643i | ||||||||
\(927\) | 65.6737 | − | 23.5048i | 0.0708454 | − | 0.0253558i | ||||
\(928\) | 21.5681 | − | 66.3799i | 0.0232415 | − | 0.0715301i | ||||
\(929\) | −518.551 | − | 168.487i | −0.558182 | − | 0.181364i | 0.0163209 | − | 0.999867i | \(-0.494805\pi\) |
−0.574503 | + | 0.818502i | \(0.694805\pi\) | |||||||
\(930\) | 585.841 | + | 3.91290i | 0.629937 | + | 0.00420742i | ||||
\(931\) | −371.923 | − | 1144.66i | −0.399487 | − | 1.22950i | ||||
\(932\) | 156.863i | 0.168308i | ||||||||
\(933\) | 481.624 | − | 83.5910i | 0.516210 | − | 0.0895938i | ||||
\(934\) | 673.101 | + | 489.037i | 0.720665 | + | 0.523594i | ||||
\(935\) | −1541.47 | + | 744.218i | −1.64863 | + | 0.795955i | ||||
\(936\) | 142.492 | + | 398.130i | 0.152235 | + | 0.425352i | ||||
\(937\) | −459.211 | − | 333.636i | −0.490086 | − | 0.356068i | 0.315131 | − | 0.949048i | \(-0.397951\pi\) |
−0.805217 | + | 0.592980i | \(0.797951\pi\) | |||||||
\(938\) | 134.474 | − | 185.088i | 0.143363 | − | 0.197322i | ||||
\(939\) | 426.615 | − | 225.368i | 0.454329 | − | 0.240009i | ||||
\(940\) | −198.954 | − | 412.087i | −0.211653 | − | 0.438390i | ||||
\(941\) | 13.2052 | − | 18.1754i | 0.0140332 | − | 0.0193150i | −0.801943 | − | 0.597401i | \(-0.796200\pi\) |
0.815976 | + | 0.578086i | \(0.196200\pi\) | |||||||
\(942\) | −380.170 | + | 65.9827i | −0.403578 | + | 0.0700453i | ||||
\(943\) | −436.983 | −0.463397 | ||||||||
\(944\) | 18.3293 | − | 5.95553i | 0.0194166 | − | 0.00630883i | ||||
\(945\) | −76.2338 | + | 254.258i | −0.0806707 | + | 0.269056i | ||||
\(946\) | 405.092 | − | 1246.75i | 0.428216 | − | 1.31791i | ||||
\(947\) | 773.503 | + | 251.326i | 0.816793 | + | 0.265392i | 0.687472 | − | 0.726211i | \(-0.258720\pi\) |
0.129321 | + | 0.991603i | \(0.458720\pi\) | |||||||
\(948\) | −298.239 | + | 157.551i | −0.314598 | + | 0.166193i | ||||
\(949\) | 1469.12 | 1.54807 | ||||||||
\(950\) | 941.938 | + | 40.4308i | 0.991513 | + | 0.0425587i | ||||
\(951\) | 161.448 | − | 1126.81i | 0.169767 | − | 1.18487i | ||||
\(952\) | 109.720 | − | 79.7159i | 0.115252 | − | 0.0837352i | ||||
\(953\) | −766.654 | − | 249.101i | −0.804464 | − | 0.261386i | −0.122213 | − | 0.992504i | \(-0.538999\pi\) |
−0.682251 | + | 0.731118i | \(0.738999\pi\) | |||||||
\(954\) | 374.640 | − | 549.046i | 0.392704 | − | 0.575520i | ||||
\(955\) | 326.095 | + | 675.429i | 0.341461 | + | 0.707255i | ||||
\(956\) | 488.266 | − | 158.647i | 0.510738 | − | 0.165949i | ||||
\(957\) | 514.375 | + | 73.6990i | 0.537486 | + | 0.0770104i | ||||
\(958\) | −278.092 | − | 855.878i | −0.290284 | − | 0.893401i | ||||
\(959\) | 260.212 | − | 358.152i | 0.271337 | − | 0.373464i | ||||
\(960\) | −113.877 | − | 37.8435i | −0.118621 | − | 0.0394203i | ||||
\(961\) | 160.409 | − | 116.544i | 0.166919 | − | 0.121274i | ||||
\(962\) | 148.237 | − | 204.031i | 0.154093 | − | 0.212091i | ||||
\(963\) | −553.048 | + | 427.328i | −0.574297 | + | 0.443746i | ||||
\(964\) | 137.083 | − | 99.5967i | 0.142202 | − | 0.103316i | ||||
\(965\) | 208.680 | − | 388.716i | 0.216249 | − | 0.402814i | ||||
\(966\) | −99.3365 | − | 96.4447i | −0.102833 | − | 0.0998393i | ||||
\(967\) | −363.317 | − | 1118.17i | −0.375716 | − | 1.15633i | −0.942995 | − | 0.332808i | \(-0.892004\pi\) |
0.567279 | − | 0.823526i | \(-0.307996\pi\) | |||||||
\(968\) | − | 215.172i | − | 0.222285i | ||||||
\(969\) | 1922.17 | − | 333.613i | 1.98366 | − | 0.344286i | ||||
\(970\) | 93.8213 | − | 519.932i | 0.0967230 | − | 0.536012i | ||||
\(971\) | 806.103 | + | 261.919i | 0.830178 | + | 0.269741i | 0.693121 | − | 0.720822i | \(-0.256235\pi\) |
0.137058 | + | 0.990563i | \(0.456235\pi\) | |||||||
\(972\) | 415.570 | − | 251.987i | 0.427541 | − | 0.259246i | ||||
\(973\) | 372.823 | − | 270.872i | 0.383168 | − | 0.278388i | ||||
\(974\) | − | 284.499i | − | 0.292094i | ||||||
\(975\) | 1093.73 | + | 596.607i | 1.12177 | + | 0.611904i | ||||
\(976\) | 322.102 | 0.330023 | ||||||||
\(977\) | −415.557 | − | 571.965i | −0.425339 | − | 0.585429i | 0.541536 | − | 0.840677i | \(-0.317843\pi\) |
−0.966876 | + | 0.255248i | \(0.917843\pi\) | |||||||
\(978\) | −957.693 | − | 470.284i | −0.979236 | − | 0.480863i | ||||
\(979\) | 10.3183 | − | 31.7564i | 0.0105396 | − | 0.0324376i | ||||
\(980\) | 312.227 | + | 325.916i | 0.318599 | + | 0.332568i | ||||
\(981\) | 16.4101 | + | 555.386i | 0.0167280 | + | 0.566143i | ||||
\(982\) | −759.918 | −0.773847 | ||||||||
\(983\) | −27.3912 | + | 8.89994i | −0.0278649 | + | 0.00905385i | −0.322916 | − | 0.946428i | \(-0.604663\pi\) |
0.295051 | + | 0.955481i | \(0.404663\pi\) | |||||||
\(984\) | 160.288 | + | 155.622i | 0.162895 | + | 0.158153i | ||||
\(985\) | −229.321 | + | 219.689i | −0.232813 | + | 0.223034i | ||||
\(986\) | −250.114 | − | 344.252i | −0.253665 | − | 0.349140i | ||||
\(987\) | −188.025 | + | 193.663i | −0.190502 | + | 0.196214i | ||||
\(988\) | −716.745 | − | 520.745i | −0.725450 | − | 0.527070i | ||||
\(989\) | 644.160 | + | 886.610i | 0.651324 | + | 0.896471i | ||||
\(990\) | 132.614 | − | 883.496i | 0.133954 | − | 0.892421i | ||||
\(991\) | 71.3263 | + | 51.8216i | 0.0719740 | + | 0.0522922i | 0.623190 | − | 0.782070i | \(-0.285836\pi\) |
−0.551216 | + | 0.834362i | \(0.685836\pi\) | |||||||
\(992\) | 148.582 | − | 48.2771i | 0.149780 | − | 0.0486664i | ||||
\(993\) | 222.032 | + | 31.8126i | 0.223598 | + | 0.0320368i | ||||
\(994\) | 68.2561 | + | 210.071i | 0.0686681 | + | 0.211339i | ||||
\(995\) | −170.286 | + | 317.197i | −0.171141 | + | 0.318791i | ||||
\(996\) | 35.1513 | + | 17.2614i | 0.0352925 | + | 0.0173307i | ||||
\(997\) | −378.344 | + | 1164.42i | −0.379482 | + | 1.16793i | 0.560922 | + | 0.827869i | \(0.310447\pi\) |
−0.940404 | + | 0.340058i | \(0.889553\pi\) | |||||||
\(998\) | −400.930 | − | 551.833i | −0.401734 | − | 0.552939i | ||||
\(999\) | −263.836 | − | 120.022i | −0.264100 | − | 0.120142i |
(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 | 150.3.j.a.11.15 | yes | 80 | |
3.2 | odd | 2 | inner | 150.3.j.a.11.5 | ✓ | 80 | |
25.16 | even | 5 | inner | 150.3.j.a.41.5 | yes | 80 | |
75.41 | odd | 10 | inner | 150.3.j.a.41.15 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.3.j.a.11.5 | ✓ | 80 | 3.2 | odd | 2 | inner | |
150.3.j.a.11.15 | yes | 80 | 1.1 | even | 1 | trivial | |
150.3.j.a.41.5 | yes | 80 | 25.16 | even | 5 | inner | |
150.3.j.a.41.15 | yes | 80 | 75.41 | odd | 10 | inner |