Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 201.2 | ||
Character | \(\chi\) | \(=\) | 370.201 |
Dual form | 370.2.o.c.81.2 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.939693 | + | 0.342020i | 0.664463 | + | 0.241845i | ||||
\(3\) | −2.36335 | + | 0.860188i | −1.36448 | + | 0.496630i | −0.917436 | − | 0.397883i | \(-0.869745\pi\) |
−0.447043 | + | 0.894513i | \(0.647523\pi\) | |||||||
\(4\) | 0.766044 | + | 0.642788i | 0.383022 | + | 0.321394i | ||||
\(5\) | 0.173648 | − | 0.984808i | 0.0776578 | − | 0.440419i | ||||
\(6\) | −2.51502 | −1.02675 | ||||||||
\(7\) | 0.832620 | − | 4.72202i | 0.314701 | − | 1.78476i | −0.259192 | − | 0.965826i | \(-0.583456\pi\) |
0.573893 | − | 0.818930i | \(-0.305433\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 2.54735 | − | 2.13748i | 0.849117 | − | 0.712493i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | −0.474234 | − | 0.821397i | −0.142987 | − | 0.247660i | 0.785633 | − | 0.618693i | \(-0.212337\pi\) |
−0.928620 | + | 0.371032i | \(0.879004\pi\) | |||||||
\(12\) | −2.36335 | − | 0.860188i | −0.682239 | − | 0.248315i | ||||
\(13\) | 1.77361 | + | 1.48823i | 0.491910 | + | 0.412761i | 0.854710 | − | 0.519106i | \(-0.173735\pi\) |
−0.362800 | + | 0.931867i | \(0.618179\pi\) | |||||||
\(14\) | 2.39743 | − | 4.15248i | 0.640741 | − | 1.10980i | ||||
\(15\) | 0.436729 | + | 2.47681i | 0.112763 | + | 0.639510i | ||||
\(16\) | 0.173648 | + | 0.984808i | 0.0434120 | + | 0.246202i | ||||
\(17\) | 4.15692 | − | 3.48807i | 1.00820 | − | 0.845981i | 0.0201011 | − | 0.999798i | \(-0.493601\pi\) |
0.988099 | + | 0.153817i | \(0.0491568\pi\) | |||||||
\(18\) | 3.12479 | − | 1.13733i | 0.736519 | − | 0.268071i | ||||
\(19\) | −0.227673 | + | 0.0828663i | −0.0522318 | + | 0.0190108i | −0.368004 | − | 0.929824i | \(-0.619959\pi\) |
0.315772 | + | 0.948835i | \(0.397736\pi\) | |||||||
\(20\) | 0.766044 | − | 0.642788i | 0.171293 | − | 0.143732i | ||||
\(21\) | 2.09406 | + | 11.8760i | 0.456960 | + | 2.59155i | ||||
\(22\) | −0.164700 | − | 0.934058i | −0.0351141 | − | 0.199142i | ||||
\(23\) | 2.20306 | − | 3.81582i | 0.459370 | − | 0.795653i | −0.539557 | − | 0.841949i | \(-0.681408\pi\) |
0.998928 | + | 0.0462960i | \(0.0147417\pi\) | |||||||
\(24\) | −1.92662 | − | 1.61662i | −0.393269 | − | 0.329992i | ||||
\(25\) | −0.939693 | − | 0.342020i | −0.187939 | − | 0.0684040i | ||||
\(26\) | 1.15764 | + | 2.00509i | 0.227032 | + | 0.393230i | ||||
\(27\) | −0.409104 | + | 0.708590i | −0.0787322 | + | 0.136368i | ||||
\(28\) | 3.67308 | − | 3.08208i | 0.694147 | − | 0.582458i | ||||
\(29\) | 1.45396 | + | 2.51833i | 0.269994 | + | 0.467643i | 0.968860 | − | 0.247610i | \(-0.0796450\pi\) |
−0.698866 | + | 0.715252i | \(0.746312\pi\) | |||||||
\(30\) | −0.436729 | + | 2.47681i | −0.0797354 | + | 0.452202i | ||||
\(31\) | 2.76626 | 0.496835 | 0.248418 | − | 0.968653i | \(-0.420089\pi\) | ||||
0.248418 | + | 0.968653i | \(0.420089\pi\) | |||||||
\(32\) | −0.173648 | + | 0.984808i | −0.0306970 | + | 0.174091i | ||||
\(33\) | 1.82733 | + | 1.53332i | 0.318098 | + | 0.266916i | ||||
\(34\) | 5.09921 | − | 1.85596i | 0.874508 | − | 0.318295i | ||||
\(35\) | −4.50570 | − | 1.63994i | −0.761602 | − | 0.277201i | ||||
\(36\) | 3.32533 | 0.554221 | ||||||||
\(37\) | −6.00830 | + | 0.948848i | −0.987759 | + | 0.155990i | ||||
\(38\) | −0.242285 | −0.0393038 | ||||||||
\(39\) | −5.47180 | − | 1.99157i | −0.876190 | − | 0.318907i | ||||
\(40\) | 0.939693 | − | 0.342020i | 0.148578 | − | 0.0540781i | ||||
\(41\) | 4.90805 | + | 4.11834i | 0.766509 | + | 0.643177i | 0.939812 | − | 0.341691i | \(-0.111000\pi\) |
−0.173304 | + | 0.984868i | \(0.555444\pi\) | |||||||
\(42\) | −2.09406 | + | 11.8760i | −0.323120 | + | 1.83250i | ||||
\(43\) | −11.4914 | −1.75242 | −0.876209 | − | 0.481931i | \(-0.839936\pi\) | ||||
−0.876209 | + | 0.481931i | \(0.839936\pi\) | |||||||
\(44\) | 0.164700 | − | 0.934058i | 0.0248294 | − | 0.140815i | ||||
\(45\) | −1.66266 | − | 2.87982i | −0.247855 | − | 0.429298i | ||||
\(46\) | 3.37529 | − | 2.83220i | 0.497659 | − | 0.417586i | ||||
\(47\) | 3.87837 | − | 6.71754i | 0.565719 | − | 0.979854i | −0.431264 | − | 0.902226i | \(-0.641932\pi\) |
0.996982 | − | 0.0776278i | \(-0.0247346\pi\) | |||||||
\(48\) | −1.25751 | − | 2.17807i | −0.181506 | − | 0.314378i | ||||
\(49\) | −15.0264 | − | 5.46915i | −2.14662 | − | 0.781308i | ||||
\(50\) | −0.766044 | − | 0.642788i | −0.108335 | − | 0.0909039i | ||||
\(51\) | −6.82384 | + | 11.8192i | −0.955529 | + | 1.65502i | ||||
\(52\) | 0.402044 | + | 2.28010i | 0.0557534 | + | 0.316193i | ||||
\(53\) | −0.821638 | − | 4.65974i | −0.112861 | − | 0.640065i | −0.987787 | − | 0.155809i | \(-0.950202\pi\) |
0.874927 | − | 0.484256i | \(-0.160910\pi\) | |||||||
\(54\) | −0.626784 | + | 0.525935i | −0.0852946 | + | 0.0715706i | ||||
\(55\) | −0.891268 | + | 0.324395i | −0.120179 | + | 0.0437414i | ||||
\(56\) | 4.50570 | − | 1.63994i | 0.602099 | − | 0.219146i | ||||
\(57\) | 0.466790 | − | 0.391684i | 0.0618279 | − | 0.0518798i | ||||
\(58\) | 0.504955 | + | 2.86374i | 0.0663039 | + | 0.376028i | ||||
\(59\) | −0.848787 | − | 4.81371i | −0.110503 | − | 0.626692i | −0.988879 | − | 0.148722i | \(-0.952484\pi\) |
0.878376 | − | 0.477970i | \(-0.158627\pi\) | |||||||
\(60\) | −1.25751 | + | 2.17807i | −0.162344 | + | 0.281188i | ||||
\(61\) | 3.83534 | + | 3.21823i | 0.491064 | + | 0.412052i | 0.854408 | − | 0.519603i | \(-0.173920\pi\) |
−0.363343 | + | 0.931655i | \(0.618365\pi\) | |||||||
\(62\) | 2.59944 | + | 0.946117i | 0.330129 | + | 0.120157i | ||||
\(63\) | −7.97225 | − | 13.8083i | −1.00441 | − | 1.73969i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 1.77361 | − | 1.48823i | 0.219989 | − | 0.184592i | ||||
\(66\) | 1.19271 | + | 2.06583i | 0.146812 | + | 0.254286i | ||||
\(67\) | −0.406489 | + | 2.30532i | −0.0496606 | + | 0.281639i | −0.999518 | − | 0.0310442i | \(-0.990117\pi\) |
0.949857 | + | 0.312683i | \(0.101228\pi\) | |||||||
\(68\) | 5.42647 | 0.658056 | ||||||||
\(69\) | −1.92428 | + | 10.9131i | −0.231656 | + | 1.31379i | ||||
\(70\) | −3.67308 | − | 3.08208i | −0.439017 | − | 0.368379i | ||||
\(71\) | −15.7012 | + | 5.71477i | −1.86339 | + | 0.678218i | −0.887167 | + | 0.461448i | \(0.847330\pi\) |
−0.976223 | + | 0.216771i | \(0.930448\pi\) | |||||||
\(72\) | 3.12479 | + | 1.13733i | 0.368260 | + | 0.134036i | ||||
\(73\) | 8.22532 | 0.962701 | 0.481351 | − | 0.876528i | \(-0.340146\pi\) | ||||
0.481351 | + | 0.876528i | \(0.340146\pi\) | |||||||
\(74\) | −5.97048 | − | 1.16333i | −0.694054 | − | 0.135235i | ||||
\(75\) | 2.51502 | 0.290410 | ||||||||
\(76\) | −0.227673 | − | 0.0828663i | −0.0261159 | − | 0.00950542i | ||||
\(77\) | −4.27351 | + | 1.55543i | −0.487012 | + | 0.177258i | ||||
\(78\) | −4.46066 | − | 3.74293i | −0.505070 | − | 0.423804i | ||||
\(79\) | −1.52595 | + | 8.65407i | −0.171682 | + | 0.973659i | 0.770222 | + | 0.637776i | \(0.220146\pi\) |
−0.941904 | + | 0.335882i | \(0.890966\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | −1.37498 | + | 7.79788i | −0.152775 | + | 0.866431i | ||||
\(82\) | 3.20350 | + | 5.54863i | 0.353768 | + | 0.612743i | ||||
\(83\) | 5.80809 | − | 4.87357i | 0.637521 | − | 0.534944i | −0.265735 | − | 0.964046i | \(-0.585614\pi\) |
0.903256 | + | 0.429102i | \(0.141170\pi\) | |||||||
\(84\) | −6.02959 | + | 10.4436i | −0.657882 | + | 1.13949i | ||||
\(85\) | −2.71323 | − | 4.69946i | −0.294292 | − | 0.509728i | ||||
\(86\) | −10.7984 | − | 3.93028i | −1.16442 | − | 0.423813i | ||||
\(87\) | −5.60245 | − | 4.70102i | −0.600646 | − | 0.504002i | ||||
\(88\) | 0.474234 | − | 0.821397i | 0.0505535 | − | 0.0875612i | ||||
\(89\) | 1.15272 | + | 6.53742i | 0.122188 | + | 0.692965i | 0.982938 | + | 0.183937i | \(0.0588841\pi\) |
−0.860750 | + | 0.509028i | \(0.830005\pi\) | |||||||
\(90\) | −0.577437 | − | 3.27481i | −0.0608672 | − | 0.345195i | ||||
\(91\) | 8.50420 | − | 7.13587i | 0.891483 | − | 0.748043i | ||||
\(92\) | 4.14040 | − | 1.50698i | 0.431667 | − | 0.157114i | ||||
\(93\) | −6.53763 | + | 2.37950i | −0.677921 | + | 0.246743i | ||||
\(94\) | 5.94201 | − | 4.98594i | 0.612872 | − | 0.514260i | ||||
\(95\) | 0.0420723 | + | 0.238604i | 0.00431653 | + | 0.0244803i | ||||
\(96\) | −0.436729 | − | 2.47681i | −0.0445734 | − | 0.252789i | ||||
\(97\) | −1.02899 | + | 1.78227i | −0.104478 | + | 0.180962i | −0.913525 | − | 0.406783i | \(-0.866651\pi\) |
0.809047 | + | 0.587745i | \(0.199984\pi\) | |||||||
\(98\) | −12.2496 | − | 10.2786i | −1.23740 | − | 1.03830i | ||||
\(99\) | −2.96376 | − | 1.07872i | −0.297869 | − | 0.108415i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −7.44389 | + | 12.8932i | −0.740694 | + | 1.28292i | 0.211485 | + | 0.977381i | \(0.432170\pi\) |
−0.952180 | + | 0.305539i | \(0.901163\pi\) | |||||||
\(102\) | −10.4547 | + | 8.77256i | −1.03517 | + | 0.868613i | ||||
\(103\) | 4.18882 | + | 7.25525i | 0.412737 | + | 0.714881i | 0.995188 | − | 0.0979847i | \(-0.0312396\pi\) |
−0.582451 | + | 0.812866i | \(0.697906\pi\) | |||||||
\(104\) | −0.402044 | + | 2.28010i | −0.0394236 | + | 0.223583i | ||||
\(105\) | 12.0592 | 1.17686 | ||||||||
\(106\) | 0.821638 | − | 4.65974i | 0.0798045 | − | 0.452594i | ||||
\(107\) | 10.2823 | + | 8.62790i | 0.994031 | + | 0.834091i | 0.986146 | − | 0.165878i | \(-0.0530458\pi\) |
0.00788451 | + | 0.999969i | \(0.497490\pi\) | |||||||
\(108\) | −0.768865 | + | 0.279844i | −0.0739841 | + | 0.0269280i | ||||
\(109\) | 16.7341 | + | 6.09073i | 1.60284 | + | 0.583386i | 0.980006 | − | 0.198968i | \(-0.0637589\pi\) |
0.622834 | + | 0.782354i | \(0.285981\pi\) | |||||||
\(110\) | −0.948468 | −0.0904328 | ||||||||
\(111\) | 13.3835 | − | 7.41072i | 1.27031 | − | 0.703395i | ||||
\(112\) | 4.79487 | 0.453072 | ||||||||
\(113\) | 6.34006 | + | 2.30759i | 0.596423 | + | 0.217080i | 0.622552 | − | 0.782578i | \(-0.286096\pi\) |
−0.0261293 | + | 0.999659i | \(0.508318\pi\) | |||||||
\(114\) | 0.572603 | − | 0.208410i | 0.0536292 | − | 0.0195194i | ||||
\(115\) | −3.37529 | − | 2.83220i | −0.314747 | − | 0.264104i | ||||
\(116\) | −0.504955 | + | 2.86374i | −0.0468839 | + | 0.265892i | ||||
\(117\) | 7.69906 | 0.711778 | ||||||||
\(118\) | 0.848787 | − | 4.81371i | 0.0781372 | − | 0.443138i | ||||
\(119\) | −13.0096 | − | 22.5333i | −1.19259 | − | 2.06562i | ||||
\(120\) | −1.92662 | + | 1.61662i | −0.175875 | + | 0.147577i | ||||
\(121\) | 5.05020 | − | 8.74721i | 0.459110 | − | 0.795201i | ||||
\(122\) | 2.50334 | + | 4.33591i | 0.226642 | + | 0.392555i | ||||
\(123\) | −15.1420 | − | 5.51123i | −1.36531 | − | 0.496931i | ||||
\(124\) | 2.11908 | + | 1.77812i | 0.190299 | + | 0.159680i | ||||
\(125\) | −0.500000 | + | 0.866025i | −0.0447214 | + | 0.0774597i | ||||
\(126\) | −2.76873 | − | 15.7023i | −0.246658 | − | 1.39887i | ||||
\(127\) | 0.957887 | + | 5.43245i | 0.0849987 | + | 0.482052i | 0.997357 | + | 0.0726588i | \(0.0231484\pi\) |
−0.912358 | + | 0.409393i | \(0.865740\pi\) | |||||||
\(128\) | −0.766044 | + | 0.642788i | −0.0677094 | + | 0.0568149i | ||||
\(129\) | 27.1581 | − | 9.88474i | 2.39114 | − | 0.870303i | ||||
\(130\) | 2.17565 | − | 0.791872i | 0.190817 | − | 0.0694517i | ||||
\(131\) | 17.2400 | − | 14.4661i | 1.50626 | − | 1.26390i | 0.635607 | − | 0.772013i | \(-0.280750\pi\) |
0.870656 | − | 0.491892i | \(-0.163695\pi\) | |||||||
\(132\) | 0.414223 | + | 2.34918i | 0.0360535 | + | 0.204469i | ||||
\(133\) | 0.201731 | + | 1.14407i | 0.0174923 | + | 0.0992038i | ||||
\(134\) | −1.17044 | + | 2.02726i | −0.101111 | + | 0.175129i | ||||
\(135\) | 0.626784 | + | 0.525935i | 0.0539450 | + | 0.0452652i | ||||
\(136\) | 5.09921 | + | 1.85596i | 0.437254 | + | 0.159147i | ||||
\(137\) | −8.04647 | − | 13.9369i | −0.687457 | − | 1.19071i | −0.972658 | − | 0.232242i | \(-0.925394\pi\) |
0.285201 | − | 0.958468i | \(-0.407940\pi\) | |||||||
\(138\) | −5.54075 | + | 9.59686i | −0.471660 | + | 0.816939i | ||||
\(139\) | −8.05544 | + | 6.75931i | −0.683253 | + | 0.573318i | −0.916955 | − | 0.398991i | \(-0.869361\pi\) |
0.233702 | + | 0.972308i | \(0.424916\pi\) | |||||||
\(140\) | −2.39743 | − | 4.15248i | −0.202620 | − | 0.350948i | ||||
\(141\) | −3.38759 | + | 19.2120i | −0.285287 | + | 1.61794i | ||||
\(142\) | −16.7089 | −1.40218 | ||||||||
\(143\) | 0.381325 | − | 2.16260i | 0.0318880 | − | 0.180846i | ||||
\(144\) | 2.54735 | + | 2.13748i | 0.212279 | + | 0.178123i | ||||
\(145\) | 2.73255 | − | 0.994568i | 0.226926 | − | 0.0825944i | ||||
\(146\) | 7.72927 | + | 2.81323i | 0.639679 | + | 0.232824i | ||||
\(147\) | 40.2170 | 3.31704 | ||||||||
\(148\) | −5.21253 | − | 3.13520i | −0.428468 | − | 0.257712i | ||||
\(149\) | 15.6975 | 1.28599 | 0.642995 | − | 0.765870i | \(-0.277691\pi\) | ||||
0.642995 | + | 0.765870i | \(0.277691\pi\) | |||||||
\(150\) | 2.36335 | + | 0.860188i | 0.192966 | + | 0.0702340i | ||||
\(151\) | −15.3022 | + | 5.56955i | −1.24528 | + | 0.453243i | −0.878803 | − | 0.477185i | \(-0.841657\pi\) |
−0.366473 | + | 0.930429i | \(0.619435\pi\) | |||||||
\(152\) | −0.185601 | − | 0.155738i | −0.0150542 | − | 0.0126320i | ||||
\(153\) | 3.13345 | − | 17.7707i | 0.253324 | − | 1.43667i | ||||
\(154\) | −4.54777 | −0.366470 | ||||||||
\(155\) | 0.480356 | − | 2.72424i | 0.0385831 | − | 0.218816i | ||||
\(156\) | −2.91149 | − | 5.04284i | −0.233105 | − | 0.403750i | ||||
\(157\) | −19.0936 | + | 16.0214i | −1.52384 | + | 1.27865i | −0.695285 | + | 0.718734i | \(0.744722\pi\) |
−0.828550 | + | 0.559916i | \(0.810833\pi\) | |||||||
\(158\) | −4.39379 | + | 7.61026i | −0.349551 | + | 0.605440i | ||||
\(159\) | 5.95007 | + | 10.3058i | 0.471871 | + | 0.817304i | ||||
\(160\) | 0.939693 | + | 0.342020i | 0.0742892 | + | 0.0270391i | ||||
\(161\) | −16.1841 | − | 13.5800i | −1.27548 | − | 1.07026i | ||||
\(162\) | −3.95909 | + | 6.85734i | −0.311055 | + | 0.538764i | ||||
\(163\) | 3.70161 | + | 20.9929i | 0.289932 | + | 1.64429i | 0.687115 | + | 0.726549i | \(0.258877\pi\) |
−0.397183 | + | 0.917740i | \(0.630012\pi\) | |||||||
\(164\) | 1.11256 | + | 6.30967i | 0.0868767 | + | 0.492702i | ||||
\(165\) | 1.82733 | − | 1.53332i | 0.142258 | − | 0.119368i | ||||
\(166\) | 7.12468 | − | 2.59317i | 0.552983 | − | 0.201269i | ||||
\(167\) | −8.96884 | + | 3.26439i | −0.694030 | + | 0.252606i | −0.664860 | − | 0.746968i | \(-0.731509\pi\) |
−0.0291701 | + | 0.999574i | \(0.509286\pi\) | |||||||
\(168\) | −9.23787 | + | 7.75149i | −0.712717 | + | 0.598041i | ||||
\(169\) | −1.32658 | − | 7.52343i | −0.102045 | − | 0.578725i | ||||
\(170\) | −0.942296 | − | 5.34403i | −0.0722708 | − | 0.409868i | ||||
\(171\) | −0.402838 | + | 0.697737i | −0.0308058 | + | 0.0533573i | ||||
\(172\) | −8.80290 | − | 7.38651i | −0.671215 | − | 0.563216i | ||||
\(173\) | 8.86545 | + | 3.22676i | 0.674028 | + | 0.245326i | 0.656281 | − | 0.754516i | \(-0.272129\pi\) |
0.0177466 | + | 0.999843i | \(0.494351\pi\) | |||||||
\(174\) | −3.65674 | − | 6.33366i | −0.277217 | − | 0.480154i | ||||
\(175\) | −2.39743 | + | 4.15248i | −0.181229 | + | 0.313898i | ||||
\(176\) | 0.726568 | − | 0.609663i | 0.0547671 | − | 0.0459551i | ||||
\(177\) | 6.14667 | + | 10.6464i | 0.462012 | + | 0.800229i | ||||
\(178\) | −1.15272 | + | 6.53742i | −0.0864003 | + | 0.490000i | ||||
\(179\) | 2.22774 | 0.166509 | 0.0832545 | − | 0.996528i | \(-0.473469\pi\) | ||||
0.0832545 | + | 0.996528i | \(0.473469\pi\) | |||||||
\(180\) | 0.577437 | − | 3.27481i | 0.0430396 | − | 0.244090i | ||||
\(181\) | −13.6369 | − | 11.4427i | −1.01362 | − | 0.850531i | −0.0248105 | − | 0.999692i | \(-0.507898\pi\) |
−0.988813 | + | 0.149161i | \(0.952343\pi\) | |||||||
\(182\) | 10.4319 | − | 3.79692i | 0.773267 | − | 0.281446i | ||||
\(183\) | −11.8325 | − | 4.30668i | −0.874684 | − | 0.318359i | ||||
\(184\) | 4.40613 | 0.324824 | ||||||||
\(185\) | −0.108898 | + | 6.08179i | −0.00800634 | + | 0.447142i | ||||
\(186\) | −6.95720 | −0.510127 | ||||||||
\(187\) | −4.83644 | − | 1.76032i | −0.353675 | − | 0.128727i | ||||
\(188\) | 7.28896 | − | 2.65296i | 0.531602 | − | 0.193487i | ||||
\(189\) | 3.00535 | + | 2.52179i | 0.218607 | + | 0.183433i | ||||
\(190\) | −0.0420723 | + | 0.238604i | −0.00305225 | + | 0.0173102i | ||||
\(191\) | 0.673527 | 0.0487347 | 0.0243674 | − | 0.999703i | \(-0.492243\pi\) | ||||
0.0243674 | + | 0.999703i | \(0.492243\pi\) | |||||||
\(192\) | 0.436729 | − | 2.47681i | 0.0315182 | − | 0.178748i | ||||
\(193\) | −2.08441 | − | 3.61030i | −0.150039 | − | 0.259875i | 0.781203 | − | 0.624278i | \(-0.214607\pi\) |
−0.931242 | + | 0.364403i | \(0.881273\pi\) | |||||||
\(194\) | −1.57651 | + | 1.32285i | −0.113187 | + | 0.0949750i | ||||
\(195\) | −2.91149 | + | 5.04284i | −0.208496 | + | 0.361125i | ||||
\(196\) | −7.99537 | − | 13.8484i | −0.571098 | − | 0.989170i | ||||
\(197\) | −6.62589 | − | 2.41162i | −0.472075 | − | 0.171821i | 0.0950172 | − | 0.995476i | \(-0.469709\pi\) |
−0.567092 | + | 0.823654i | \(0.691932\pi\) | |||||||
\(198\) | −2.41608 | − | 2.02733i | −0.171703 | − | 0.144076i | ||||
\(199\) | 0.256480 | − | 0.444236i | 0.0181814 | − | 0.0314911i | −0.856792 | − | 0.515663i | \(-0.827546\pi\) |
0.874973 | + | 0.484172i | \(0.160879\pi\) | |||||||
\(200\) | −0.173648 | − | 0.984808i | −0.0122788 | − | 0.0696364i | ||||
\(201\) | −1.02233 | − | 5.79792i | −0.0721095 | − | 0.408954i | ||||
\(202\) | −11.4047 | + | 9.56967i | −0.802431 | + | 0.673320i | ||||
\(203\) | 13.1022 | − | 4.76882i | 0.919596 | − | 0.334705i | ||||
\(204\) | −12.8246 | + | 4.66778i | −0.897903 | + | 0.326810i | ||||
\(205\) | 4.90805 | − | 4.11834i | 0.342793 | − | 0.287638i | ||||
\(206\) | 1.45476 | + | 8.25037i | 0.101358 | + | 0.574830i | ||||
\(207\) | −2.54426 | − | 14.4292i | −0.176838 | − | 1.00290i | ||||
\(208\) | −1.15764 | + | 2.00509i | −0.0802678 | + | 0.139028i | ||||
\(209\) | 0.176036 | + | 0.147712i | 0.0121767 | + | 0.0102175i | ||||
\(210\) | 11.3319 | + | 4.12448i | 0.781977 | + | 0.284616i | ||||
\(211\) | 11.7868 | + | 20.4154i | 0.811440 | + | 1.40546i | 0.911856 | + | 0.410510i | \(0.134649\pi\) |
−0.100416 | + | 0.994946i | \(0.532017\pi\) | |||||||
\(212\) | 2.36581 | − | 4.09771i | 0.162485 | − | 0.281432i | ||||
\(213\) | 32.1916 | − | 27.0120i | 2.20573 | − | 1.85083i | ||||
\(214\) | 6.71132 | + | 11.6243i | 0.458776 | + | 0.794624i | ||||
\(215\) | −1.99546 | + | 11.3168i | −0.136089 | + | 0.771799i | ||||
\(216\) | −0.818209 | −0.0556721 | ||||||||
\(217\) | 2.30324 | − | 13.0623i | 0.156354 | − | 0.886730i | ||||
\(218\) | 13.6418 | + | 11.4468i | 0.923939 | + | 0.775277i | ||||
\(219\) | −19.4393 | + | 7.07532i | −1.31359 | + | 0.478106i | ||||
\(220\) | −0.891268 | − | 0.324395i | −0.0600893 | − | 0.0218707i | ||||
\(221\) | 12.5638 | 0.845132 | ||||||||
\(222\) | 15.1110 | − | 2.38637i | 1.01418 | − | 0.160163i | ||||
\(223\) | −21.3956 | −1.43276 | −0.716378 | − | 0.697712i | \(-0.754202\pi\) | ||||
−0.716378 | + | 0.697712i | \(0.754202\pi\) | |||||||
\(224\) | 4.50570 | + | 1.63994i | 0.301050 | + | 0.109573i | ||||
\(225\) | −3.12479 | + | 1.13733i | −0.208319 | + | 0.0758220i | ||||
\(226\) | 5.16846 | + | 4.33686i | 0.343801 | + | 0.288483i | ||||
\(227\) | −3.90335 | + | 22.1370i | −0.259074 | + | 1.46928i | 0.526320 | + | 0.850287i | \(0.323572\pi\) |
−0.785394 | + | 0.618996i | \(0.787540\pi\) | |||||||
\(228\) | 0.609351 | 0.0403553 | ||||||||
\(229\) | 0.344164 | − | 1.95185i | 0.0227430 | − | 0.128982i | −0.971322 | − | 0.237766i | \(-0.923585\pi\) |
0.994065 | + | 0.108785i | \(0.0346959\pi\) | |||||||
\(230\) | −2.20306 | − | 3.81582i | −0.145266 | − | 0.251608i | ||||
\(231\) | 8.76182 | − | 7.35204i | 0.576486 | − | 0.483729i | ||||
\(232\) | −1.45396 | + | 2.51833i | −0.0954572 | + | 0.165337i | ||||
\(233\) | −0.704119 | − | 1.21957i | −0.0461284 | − | 0.0798966i | 0.842039 | − | 0.539416i | \(-0.181355\pi\) |
−0.888168 | + | 0.459519i | \(0.848022\pi\) | |||||||
\(234\) | 7.23475 | + | 2.63323i | 0.472950 | + | 0.172140i | ||||
\(235\) | −5.94201 | − | 4.98594i | −0.387614 | − | 0.325247i | ||||
\(236\) | 2.44399 | − | 4.23311i | 0.159090 | − | 0.275552i | ||||
\(237\) | −3.83778 | − | 21.7652i | −0.249291 | − | 1.41380i | ||||
\(238\) | −4.51818 | − | 25.6239i | −0.292870 | − | 1.66095i | ||||
\(239\) | 13.5342 | − | 11.3565i | 0.875453 | − | 0.734593i | −0.0897858 | − | 0.995961i | \(-0.528618\pi\) |
0.965239 | + | 0.261369i | \(0.0841738\pi\) | |||||||
\(240\) | −2.36335 | + | 0.860188i | −0.152553 | + | 0.0555249i | ||||
\(241\) | 11.5954 | − | 4.22040i | 0.746928 | − | 0.271860i | 0.0596157 | − | 0.998221i | \(-0.481012\pi\) |
0.687313 | + | 0.726362i | \(0.258790\pi\) | |||||||
\(242\) | 7.73736 | − | 6.49242i | 0.497376 | − | 0.417348i | ||||
\(243\) | −3.88434 | − | 22.0292i | −0.249180 | − | 1.41317i | ||||
\(244\) | 0.869400 | + | 4.93061i | 0.0556576 | + | 0.315650i | ||||
\(245\) | −7.99537 | + | 13.8484i | −0.510805 | + | 0.884741i | ||||
\(246\) | −12.3438 | − | 10.3577i | −0.787015 | − | 0.660384i | ||||
\(247\) | −0.527127 | − | 0.191859i | −0.0335403 | − | 0.0122077i | ||||
\(248\) | 1.38313 | + | 2.39565i | 0.0878289 | + | 0.152124i | ||||
\(249\) | −9.53435 | + | 16.5140i | −0.604215 | + | 1.04653i | ||||
\(250\) | −0.766044 | + | 0.642788i | −0.0484489 | + | 0.0406535i | ||||
\(251\) | −4.25075 | − | 7.36252i | −0.268305 | − | 0.464718i | 0.700119 | − | 0.714026i | \(-0.253130\pi\) |
−0.968424 | + | 0.249308i | \(0.919797\pi\) | |||||||
\(252\) | 2.76873 | − | 15.7023i | 0.174414 | − | 0.989150i | ||||
\(253\) | −4.17907 | −0.262736 | ||||||||
\(254\) | −0.957887 | + | 5.43245i | −0.0601032 | + | 0.340862i | ||||
\(255\) | 10.4547 | + | 8.77256i | 0.654701 | + | 0.549359i | ||||
\(256\) | −0.939693 | + | 0.342020i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 11.4548 | + | 4.16921i | 0.714532 | + | 0.260068i | 0.673603 | − | 0.739094i | \(-0.264746\pi\) |
0.0409292 | + | 0.999162i | \(0.486968\pi\) | |||||||
\(258\) | 28.9010 | 1.79930 | ||||||||
\(259\) | −0.522151 | + | 29.1614i | −0.0324449 | + | 1.81200i | ||||
\(260\) | 2.31528 | 0.143587 | ||||||||
\(261\) | 9.08664 | + | 3.30727i | 0.562449 | + | 0.204715i | ||||
\(262\) | 21.1480 | − | 7.69723i | 1.30653 | − | 0.475536i | ||||
\(263\) | 6.84563 | + | 5.74416i | 0.422119 | + | 0.354200i | 0.828969 | − | 0.559295i | \(-0.188928\pi\) |
−0.406849 | + | 0.913495i | \(0.633373\pi\) | |||||||
\(264\) | −0.414223 | + | 2.34918i | −0.0254937 | + | 0.144582i | ||||
\(265\) | −4.73162 | −0.290661 | ||||||||
\(266\) | −0.201731 | + | 1.14407i | −0.0123689 | + | 0.0701477i | ||||
\(267\) | −8.34769 | − | 14.4586i | −0.510870 | − | 0.884854i | ||||
\(268\) | −1.79322 | + | 1.50469i | −0.109538 | + | 0.0919135i | ||||
\(269\) | 13.3387 | − | 23.1032i | 0.813273 | − | 1.40863i | −0.0972888 | − | 0.995256i | \(-0.531017\pi\) |
0.910562 | − | 0.413373i | \(-0.135650\pi\) | |||||||
\(270\) | 0.409104 | + | 0.708590i | 0.0248973 | + | 0.0431234i | ||||
\(271\) | 29.6456 | + | 10.7901i | 1.80084 | + | 0.655453i | 0.998264 | + | 0.0589049i | \(0.0187609\pi\) |
0.802578 | + | 0.596548i | \(0.203461\pi\) | |||||||
\(272\) | 4.15692 | + | 3.48807i | 0.252050 | + | 0.211495i | ||||
\(273\) | −13.9602 | + | 24.1797i | −0.844909 | + | 1.46342i | ||||
\(274\) | −2.79451 | − | 15.8485i | −0.168823 | − | 0.957440i | ||||
\(275\) | 0.164700 | + | 0.934058i | 0.00993176 | + | 0.0563258i | ||||
\(276\) | −8.48892 | + | 7.12305i | −0.510973 | + | 0.428757i | ||||
\(277\) | −20.8535 | + | 7.59006i | −1.25297 | + | 0.456043i | −0.881403 | − | 0.472365i | \(-0.843401\pi\) |
−0.371564 | + | 0.928407i | \(0.621178\pi\) | |||||||
\(278\) | −9.88146 | + | 3.59656i | −0.592650 | + | 0.215707i | ||||
\(279\) | 7.04663 | − | 5.91283i | 0.421871 | − | 0.353992i | ||||
\(280\) | −0.832620 | − | 4.72202i | −0.0497585 | − | 0.282195i | ||||
\(281\) | −1.22226 | − | 6.93177i | −0.0729138 | − | 0.413515i | −0.999316 | − | 0.0369794i | \(-0.988226\pi\) |
0.926402 | − | 0.376535i | \(-0.122885\pi\) | |||||||
\(282\) | −9.75419 | + | 16.8947i | −0.580853 | + | 1.00607i | ||||
\(283\) | 16.8965 | + | 14.1779i | 1.00440 | + | 0.842788i | 0.987587 | − | 0.157071i | \(-0.0502052\pi\) |
0.0168079 | + | 0.999859i | \(0.494650\pi\) | |||||||
\(284\) | −15.7012 | − | 5.71477i | −0.931695 | − | 0.339109i | ||||
\(285\) | −0.304676 | − | 0.527714i | −0.0180474 | − | 0.0312591i | ||||
\(286\) | 1.09798 | − | 1.90176i | 0.0649251 | − | 0.112454i | ||||
\(287\) | 23.5334 | − | 19.7469i | 1.38913 | − | 1.16562i | ||||
\(288\) | 1.66266 | + | 2.87982i | 0.0979734 | + | 0.169695i | ||||
\(289\) | 2.16132 | − | 12.2575i | 0.127137 | − | 0.721028i | ||||
\(290\) | 2.90792 | 0.170759 | ||||||||
\(291\) | 0.898782 | − | 5.09725i | 0.0526875 | − | 0.298806i | ||||
\(292\) | 6.30096 | + | 5.28713i | 0.368736 | + | 0.309406i | ||||
\(293\) | −14.8010 | + | 5.38712i | −0.864683 | + | 0.314719i | −0.736012 | − | 0.676969i | \(-0.763293\pi\) |
−0.128671 | + | 0.991687i | \(0.541071\pi\) | |||||||
\(294\) | 37.7916 | + | 13.7550i | 2.20405 | + | 0.802210i | ||||
\(295\) | −4.88797 | −0.284589 | ||||||||
\(296\) | −3.82588 | − | 4.72892i | −0.222375 | − | 0.274863i | ||||
\(297\) | 0.776045 | 0.0450307 | ||||||||
\(298\) | 14.7508 | + | 5.36887i | 0.854493 | + | 0.311010i | ||||
\(299\) | 9.58619 | − | 3.48909i | 0.554384 | − | 0.201779i | ||||
\(300\) | 1.92662 | + | 1.61662i | 0.111233 | + | 0.0933358i | ||||
\(301\) | −9.56795 | + | 54.2625i | −0.551487 | + | 3.12764i | ||||
\(302\) | −16.2843 | −0.937054 | ||||||||
\(303\) | 6.50192 | − | 36.8742i | 0.373525 | − | 2.11837i | ||||
\(304\) | −0.121142 | − | 0.209825i | −0.00694800 | − | 0.0120343i | ||||
\(305\) | 3.83534 | − | 3.21823i | 0.219611 | − | 0.184275i | ||||
\(306\) | 9.02240 | − | 15.6273i | 0.515776 | − | 0.893350i | ||||
\(307\) | −13.8176 | − | 23.9328i | −0.788613 | − | 1.36592i | −0.926817 | − | 0.375515i | \(-0.877466\pi\) |
0.138203 | − | 0.990404i | \(-0.455867\pi\) | |||||||
\(308\) | −4.27351 | − | 1.55543i | −0.243506 | − | 0.0886289i | ||||
\(309\) | −16.1405 | − | 13.5435i | −0.918202 | − | 0.770463i | ||||
\(310\) | 1.38313 | − | 2.39565i | 0.0785565 | − | 0.136064i | ||||
\(311\) | 1.20553 | + | 6.83687i | 0.0683591 | + | 0.387683i | 0.999722 | + | 0.0235906i | \(0.00750982\pi\) |
−0.931363 | + | 0.364093i | \(0.881379\pi\) | |||||||
\(312\) | −1.01115 | − | 5.73451i | −0.0572450 | − | 0.324653i | ||||
\(313\) | 7.93375 | − | 6.65721i | 0.448442 | − | 0.376288i | −0.390415 | − | 0.920639i | \(-0.627669\pi\) |
0.838857 | + | 0.544351i | \(0.183224\pi\) | |||||||
\(314\) | −23.4218 | + | 8.52483i | −1.32177 | + | 0.481084i | ||||
\(315\) | −14.9829 | + | 5.45334i | −0.844193 | + | 0.307261i | ||||
\(316\) | −6.73167 | + | 5.64854i | −0.378686 | + | 0.317755i | ||||
\(317\) | −1.39290 | − | 7.89953i | −0.0782331 | − | 0.443682i | −0.998613 | − | 0.0526559i | \(-0.983231\pi\) |
0.920380 | − | 0.391026i | \(-0.127880\pi\) | |||||||
\(318\) | 2.06644 | + | 11.7193i | 0.115880 | + | 0.657188i | ||||
\(319\) | 1.37903 | − | 2.38856i | 0.0772111 | − | 0.133734i | ||||
\(320\) | 0.766044 | + | 0.642788i | 0.0428232 | + | 0.0359329i | ||||
\(321\) | −31.7223 | − | 11.5460i | −1.77057 | − | 0.644434i | ||||
\(322\) | −10.5634 | − | 18.2963i | −0.588675 | − | 1.01961i | ||||
\(323\) | −0.657376 | + | 1.13861i | −0.0365774 | + | 0.0633538i | ||||
\(324\) | −6.06567 | + | 5.08970i | −0.336982 | + | 0.282761i | ||||
\(325\) | −1.15764 | − | 2.00509i | −0.0642143 | − | 0.111222i | ||||
\(326\) | −3.70161 | + | 20.9929i | −0.205013 | + | 1.16269i | ||||
\(327\) | −44.7877 | −2.47677 | ||||||||
\(328\) | −1.11256 | + | 6.30967i | −0.0614311 | + | 0.348393i | ||||
\(329\) | −28.4911 | − | 23.9069i | −1.57077 | − | 1.31803i | ||||
\(330\) | 2.24156 | − | 0.815860i | 0.123394 | − | 0.0449116i | ||||
\(331\) | −4.10510 | − | 1.49413i | −0.225637 | − | 0.0821250i | 0.226728 | − | 0.973958i | \(-0.427197\pi\) |
−0.452365 | + | 0.891833i | \(0.649419\pi\) | |||||||
\(332\) | 7.58193 | 0.416112 | ||||||||
\(333\) | −13.2771 | + | 15.2597i | −0.727581 | + | 0.836225i | ||||
\(334\) | −9.54444 | −0.522249 | ||||||||
\(335\) | 2.19971 | + | 0.800628i | 0.120183 | + | 0.0437430i | ||||
\(336\) | −11.3319 | + | 4.12448i | −0.618207 | + | 0.225009i | ||||
\(337\) | −0.630712 | − | 0.529230i | −0.0343571 | − | 0.0288290i | 0.625447 | − | 0.780266i | \(-0.284916\pi\) |
−0.659805 | + | 0.751437i | \(0.729361\pi\) | |||||||
\(338\) | 1.32658 | − | 7.52343i | 0.0721566 | − | 0.409220i | ||||
\(339\) | −16.9687 | −0.921614 | ||||||||
\(340\) | 0.942296 | − | 5.34403i | 0.0511032 | − | 0.289821i | ||||
\(341\) | −1.31185 | − | 2.27220i | −0.0710409 | − | 0.123046i | ||||
\(342\) | −0.617184 | + | 0.517879i | −0.0333735 | + | 0.0280037i | ||||
\(343\) | −21.5547 | + | 37.3338i | −1.16384 | + | 2.01584i | ||||
\(344\) | −5.74569 | − | 9.95182i | −0.309787 | − | 0.536566i | ||||
\(345\) | 10.4132 | + | 3.79010i | 0.560628 | + | 0.204052i | ||||
\(346\) | 7.22718 | + | 6.06433i | 0.388536 | + | 0.326020i | ||||
\(347\) | 3.54350 | − | 6.13751i | 0.190225 | − | 0.329479i | −0.755100 | − | 0.655610i | \(-0.772412\pi\) |
0.945325 | + | 0.326131i | \(0.105745\pi\) | |||||||
\(348\) | −1.26997 | − | 7.20238i | −0.0680777 | − | 0.386088i | ||||
\(349\) | −1.37913 | − | 7.82141i | −0.0738229 | − | 0.418671i | −0.999213 | − | 0.0396556i | \(-0.987374\pi\) |
0.925390 | − | 0.379015i | \(-0.123737\pi\) | |||||||
\(350\) | −3.67308 | + | 3.08208i | −0.196334 | + | 0.164744i | ||||
\(351\) | −1.78014 | + | 0.647916i | −0.0950166 | + | 0.0345832i | ||||
\(352\) | 0.891268 | − | 0.324395i | 0.0475047 | − | 0.0172903i | ||||
\(353\) | −10.4644 | + | 8.78064i | −0.556962 | + | 0.467346i | −0.877290 | − | 0.479960i | \(-0.840651\pi\) |
0.320329 | + | 0.947306i | \(0.396207\pi\) | |||||||
\(354\) | 2.13472 | + | 12.1066i | 0.113459 | + | 0.643458i | ||||
\(355\) | 2.90147 | + | 16.4550i | 0.153994 | + | 0.873342i | ||||
\(356\) | −3.31913 | + | 5.74891i | −0.175914 | + | 0.304692i | ||||
\(357\) | 50.1290 | + | 42.0632i | 2.65311 | + | 2.22622i | ||||
\(358\) | 2.09339 | + | 0.761932i | 0.110639 | + | 0.0402693i | ||||
\(359\) | 8.35116 | + | 14.4646i | 0.440757 | + | 0.763414i | 0.997746 | − | 0.0671060i | \(-0.0213766\pi\) |
−0.556988 | + | 0.830520i | \(0.688043\pi\) | |||||||
\(360\) | 1.66266 | − | 2.87982i | 0.0876301 | − | 0.151780i | ||||
\(361\) | −14.5099 | + | 12.1752i | −0.763678 | + | 0.640802i | ||||
\(362\) | −8.90086 | − | 15.4167i | −0.467819 | − | 0.810286i | ||||
\(363\) | −4.41114 | + | 25.0168i | −0.231525 | + | 1.31304i | ||||
\(364\) | 11.1014 | 0.581874 | ||||||||
\(365\) | 1.42831 | − | 8.10036i | 0.0747613 | − | 0.423992i | ||||
\(366\) | −9.64595 | − | 8.09391i | −0.504202 | − | 0.423076i | ||||
\(367\) | 3.85265 | − | 1.40225i | 0.201107 | − | 0.0731969i | −0.239503 | − | 0.970896i | \(-0.576984\pi\) |
0.440610 | + | 0.897699i | \(0.354762\pi\) | |||||||
\(368\) | 4.14040 | + | 1.50698i | 0.215833 | + | 0.0785570i | ||||
\(369\) | 21.3054 | 1.10911 | ||||||||
\(370\) | −2.18242 | + | 5.67777i | −0.113459 | + | 0.295173i | ||||
\(371\) | −22.6875 | −1.17788 | ||||||||
\(372\) | −6.53763 | − | 2.37950i | −0.338960 | − | 0.123372i | ||||
\(373\) | 3.94959 | − | 1.43753i | 0.204502 | − | 0.0744327i | −0.237738 | − | 0.971329i | \(-0.576406\pi\) |
0.442240 | + | 0.896897i | \(0.354184\pi\) | |||||||
\(374\) | −3.94270 | − | 3.30832i | −0.203872 | − | 0.171069i | ||||
\(375\) | 0.436729 | − | 2.47681i | 0.0225526 | − | 0.127902i | ||||
\(376\) | 7.75675 | 0.400024 | ||||||||
\(377\) | −1.16911 | + | 6.63036i | −0.0602123 | + | 0.341481i | ||||
\(378\) | 1.96160 | + | 3.39759i | 0.100894 | + | 0.174753i | ||||
\(379\) | 10.8828 | − | 9.13178i | 0.559013 | − | 0.469068i | −0.318966 | − | 0.947766i | \(-0.603336\pi\) |
0.877980 | + | 0.478698i | \(0.158891\pi\) | |||||||
\(380\) | −0.121142 | + | 0.209825i | −0.00621448 | + | 0.0107638i | ||||
\(381\) | −6.93674 | − | 12.0148i | −0.355380 | − | 0.615537i | ||||
\(382\) | 0.632908 | + | 0.230360i | 0.0323824 | + | 0.0117862i | ||||
\(383\) | 13.5838 | + | 11.3982i | 0.694099 | + | 0.582419i | 0.920088 | − | 0.391711i | \(-0.128117\pi\) |
−0.225989 | + | 0.974130i | \(0.572561\pi\) | |||||||
\(384\) | 1.25751 | − | 2.17807i | 0.0641721 | − | 0.111149i | ||||
\(385\) | 0.789713 | + | 4.47868i | 0.0402475 | + | 0.228255i | ||||
\(386\) | −0.723907 | − | 4.10548i | −0.0368459 | − | 0.208963i | ||||
\(387\) | −29.2726 | + | 24.5626i | −1.48801 | + | 1.24859i | ||||
\(388\) | −1.93387 | + | 0.703873i | −0.0981776 | + | 0.0357337i | ||||
\(389\) | −7.68637 | + | 2.79761i | −0.389715 | + | 0.141845i | −0.529443 | − | 0.848345i | \(-0.677599\pi\) |
0.139729 | + | 0.990190i | \(0.455377\pi\) | |||||||
\(390\) | −4.46066 | + | 3.74293i | −0.225874 | + | 0.189531i | ||||
\(391\) | −4.15188 | − | 23.5465i | −0.209969 | − | 1.19080i | ||||
\(392\) | −2.77676 | − | 15.7478i | −0.140248 | − | 0.795384i | ||||
\(393\) | −28.3005 | + | 49.0179i | −1.42757 | + | 2.47263i | ||||
\(394\) | −5.40147 | − | 4.53237i | −0.272122 | − | 0.228338i | ||||
\(395\) | 8.25762 | + | 3.00553i | 0.415486 | + | 0.151224i | ||||
\(396\) | −1.57698 | − | 2.73142i | −0.0792464 | − | 0.137259i | ||||
\(397\) | 10.3972 | − | 18.0084i | 0.521819 | − | 0.903817i | −0.477859 | − | 0.878437i | \(-0.658587\pi\) |
0.999678 | − | 0.0253806i | \(-0.00807977\pi\) | |||||||
\(398\) | 0.392950 | − | 0.329724i | 0.0196968 | − | 0.0165276i | ||||
\(399\) | −1.46088 | − | 2.53032i | −0.0731354 | − | 0.126674i | ||||
\(400\) | 0.173648 | − | 0.984808i | 0.00868241 | − | 0.0492404i | ||||
\(401\) | −13.1945 | −0.658901 | −0.329451 | − | 0.944173i | \(-0.606864\pi\) | ||||
−0.329451 | + | 0.944173i | \(0.606864\pi\) | |||||||
\(402\) | 1.02233 | − | 5.79792i | 0.0509891 | − | 0.289174i | ||||
\(403\) | 4.90626 | + | 4.11684i | 0.244398 | + | 0.205074i | ||||
\(404\) | −13.9899 | + | 5.09192i | −0.696025 | + | 0.253332i | ||||
\(405\) | 7.44065 | + | 2.70818i | 0.369729 | + | 0.134570i | ||||
\(406\) | 13.9431 | 0.691984 | ||||||||
\(407\) | 3.62872 | + | 4.48522i | 0.179869 | + | 0.222324i | ||||
\(408\) | −13.6477 | −0.675661 | ||||||||
\(409\) | −8.28126 | − | 3.01413i | −0.409482 | − | 0.149039i | 0.129062 | − | 0.991636i | \(-0.458803\pi\) |
−0.538544 | + | 0.842597i | \(0.681025\pi\) | |||||||
\(410\) | 6.02061 | − | 2.19132i | 0.297337 | − | 0.108222i | ||||
\(411\) | 31.0050 | + | 26.0162i | 1.52936 | + | 1.28329i | ||||
\(412\) | −1.45476 | + | 8.25037i | −0.0716710 | + | 0.406466i | ||||
\(413\) | −23.4372 | −1.15327 | ||||||||
\(414\) | 2.54426 | − | 14.4292i | 0.125044 | − | 0.709158i | ||||
\(415\) | −3.79096 | − | 6.56614i | −0.186091 | − | 0.322319i | ||||
\(416\) | −1.77361 | + | 1.48823i | −0.0869582 | + | 0.0729666i | ||||
\(417\) | 13.2235 | − | 22.9038i | 0.647558 | − | 1.12160i | ||||
\(418\) | 0.114900 | + | 0.199012i | 0.00561993 | + | 0.00973400i | ||||
\(419\) | −6.00020 | − | 2.18389i | −0.293129 | − | 0.106690i | 0.191270 | − | 0.981537i | \(-0.438739\pi\) |
−0.484399 | + | 0.874847i | \(0.660962\pi\) | |||||||
\(420\) | 9.23787 | + | 7.75149i | 0.450762 | + | 0.378234i | ||||
\(421\) | −7.86558 | + | 13.6236i | −0.383345 | + | 0.663973i | −0.991538 | − | 0.129816i | \(-0.958561\pi\) |
0.608193 | + | 0.793789i | \(0.291895\pi\) | |||||||
\(422\) | 4.09353 | + | 23.2156i | 0.199270 | + | 1.13012i | ||||
\(423\) | −4.47903 | − | 25.4019i | −0.217778 | − | 1.23508i | ||||
\(424\) | 3.62463 | − | 3.04143i | 0.176028 | − | 0.147705i | ||||
\(425\) | −5.09921 | + | 1.85596i | −0.247348 | + | 0.0900274i | ||||
\(426\) | 39.4888 | − | 14.3728i | 1.91324 | − | 0.696363i | ||||
\(427\) | 18.3899 | − | 15.4310i | 0.889951 | − | 0.746757i | ||||
\(428\) | 2.33082 | + | 13.2187i | 0.112664 | + | 0.638951i | ||||
\(429\) | 0.959041 | + | 5.43899i | 0.0463030 | + | 0.262597i | ||||
\(430\) | −5.74569 | + | 9.95182i | −0.277082 | + | 0.479920i | ||||
\(431\) | −28.7372 | − | 24.1133i | −1.38422 | − | 1.16150i | −0.967621 | − | 0.252409i | \(-0.918777\pi\) |
−0.416600 | − | 0.909090i | \(-0.636778\pi\) | |||||||
\(432\) | −0.768865 | − | 0.279844i | −0.0369920 | − | 0.0134640i | ||||
\(433\) | 20.5078 | + | 35.5205i | 0.985541 | + | 1.70701i | 0.639506 | + | 0.768786i | \(0.279139\pi\) |
0.346035 | + | 0.938222i | \(0.387528\pi\) | |||||||
\(434\) | 6.63192 | − | 11.4868i | 0.318343 | − | 0.551386i | ||||
\(435\) | −5.60245 | + | 4.70102i | −0.268617 | + | 0.225396i | ||||
\(436\) | 8.90405 | + | 15.4223i | 0.426427 | + | 0.738593i | ||||
\(437\) | −0.185376 | + | 1.05132i | −0.00886774 | + | 0.0502914i | ||||
\(438\) | −20.6869 | −0.988456 | ||||||||
\(439\) | −1.60683 | + | 9.11281i | −0.0766900 | + | 0.434931i | 0.922152 | + | 0.386827i | \(0.126429\pi\) |
−0.998842 | + | 0.0481037i | \(0.984682\pi\) | |||||||
\(440\) | −0.726568 | − | 0.609663i | −0.0346378 | − | 0.0290646i | ||||
\(441\) | −49.9676 | + | 18.1867i | −2.37941 | + | 0.866035i | ||||
\(442\) | 11.8061 | + | 4.29707i | 0.561559 | + | 0.204391i | ||||
\(443\) | −3.59904 | −0.170995 | −0.0854977 | − | 0.996338i | \(-0.527248\pi\) | ||||
−0.0854977 | + | 0.996338i | \(0.527248\pi\) | |||||||
\(444\) | 15.0159 | + | 2.92581i | 0.712622 | + | 0.138853i | ||||
\(445\) | 6.63827 | 0.314684 | ||||||||
\(446\) | −20.1053 | − | 7.31773i | −0.952014 | − | 0.346505i | ||||
\(447\) | −37.0987 | + | 13.5028i | −1.75471 | + | 0.638661i | ||||
\(448\) | 3.67308 | + | 3.08208i | 0.173537 | + | 0.145615i | ||||
\(449\) | 4.56180 | − | 25.8713i | 0.215285 | − | 1.22094i | −0.665127 | − | 0.746730i | \(-0.731623\pi\) |
0.880412 | − | 0.474210i | \(-0.157266\pi\) | |||||||
\(450\) | −3.32533 | −0.156758 | ||||||||
\(451\) | 1.05523 | − | 5.98451i | 0.0496889 | − | 0.281800i | ||||
\(452\) | 3.37348 | + | 5.84303i | 0.158675 | + | 0.274833i | ||||
\(453\) | 31.3736 | − | 26.3255i | 1.47406 | − | 1.23688i | ||||
\(454\) | −11.2392 | + | 19.4669i | −0.527484 | + | 0.913629i | ||||
\(455\) | −5.55072 | − | 9.61413i | −0.260222 | − | 0.450718i | ||||
\(456\) | 0.572603 | + | 0.208410i | 0.0268146 | + | 0.00975971i | ||||
\(457\) | −15.5839 | − | 13.0765i | −0.728985 | − | 0.611691i | 0.200870 | − | 0.979618i | \(-0.435623\pi\) |
−0.929855 | + | 0.367927i | \(0.880068\pi\) | |||||||
\(458\) | 0.990980 | − | 1.71643i | 0.0463054 | − | 0.0802034i | ||||
\(459\) | 0.770995 | + | 4.37253i | 0.0359870 | + | 0.204092i | ||||
\(460\) | −0.765116 | − | 4.33919i | −0.0356737 | − | 0.202316i | ||||
\(461\) | 25.7696 | − | 21.6232i | 1.20021 | − | 1.00709i | 0.200585 | − | 0.979676i | \(-0.435716\pi\) |
0.999624 | − | 0.0274184i | \(-0.00872863\pi\) | |||||||
\(462\) | 10.7480 | − | 3.91194i | 0.500041 | − | 0.182000i | ||||
\(463\) | 0.957201 | − | 0.348393i | 0.0444849 | − | 0.0161912i | −0.319682 | − | 0.947525i | \(-0.603576\pi\) |
0.364167 | + | 0.931334i | \(0.381354\pi\) | |||||||
\(464\) | −2.22760 | + | 1.86918i | −0.103414 | + | 0.0867743i | ||||
\(465\) | 1.20811 | + | 6.85151i | 0.0560246 | + | 0.317731i | ||||
\(466\) | −0.244538 | − | 1.38684i | −0.0113280 | − | 0.0642443i | ||||
\(467\) | 4.75563 | − | 8.23700i | 0.220064 | − | 0.381163i | −0.734763 | − | 0.678324i | \(-0.762707\pi\) |
0.954827 | + | 0.297161i | \(0.0960399\pi\) | |||||||
\(468\) | 5.89782 | + | 4.94886i | 0.272627 | + | 0.228761i | ||||
\(469\) | 10.5473 | + | 3.83890i | 0.487029 | + | 0.177264i | ||||
\(470\) | −3.87837 | − | 6.71754i | −0.178896 | − | 0.309857i | ||||
\(471\) | 31.3433 | − | 54.2883i | 1.44423 | − | 2.50147i | ||||
\(472\) | 3.74440 | − | 3.14193i | 0.172350 | − | 0.144619i | ||||
\(473\) | 5.44960 | + | 9.43898i | 0.250573 | + | 0.434005i | ||||
\(474\) | 3.83778 | − | 21.7652i | 0.176275 | − | 0.999707i | ||||
\(475\) | 0.242285 | 0.0111168 | ||||||||
\(476\) | 4.51818 | − | 25.6239i | 0.207091 | − | 1.17447i | ||||
\(477\) | −12.0531 | − | 10.1138i | −0.551874 | − | 0.463077i | ||||
\(478\) | 16.6021 | − | 6.04268i | 0.759364 | − | 0.276386i | ||||
\(479\) | 12.0949 | + | 4.40219i | 0.552631 | + | 0.201141i | 0.603215 | − | 0.797579i | \(-0.293886\pi\) |
−0.0505841 | + | 0.998720i | \(0.516108\pi\) | |||||||
\(480\) | −2.51502 | −0.114794 | ||||||||
\(481\) | −12.0685 | − | 7.25886i | −0.550275 | − | 0.330976i | ||||
\(482\) | 12.3396 | 0.562054 | ||||||||
\(483\) | 49.9299 | + | 18.1730i | 2.27189 | + | 0.826900i | ||||
\(484\) | 9.49128 | − | 3.45454i | 0.431422 | − | 0.157025i | ||||
\(485\) | 1.57651 | + | 1.32285i | 0.0715856 | + | 0.0600674i | ||||
\(486\) | 3.88434 | − | 22.0292i | 0.176197 | − | 0.999263i | ||||
\(487\) | −15.9717 | −0.723747 | −0.361873 | − | 0.932227i | \(-0.617863\pi\) | ||||
−0.361873 | + | 0.932227i | \(0.617863\pi\) | |||||||
\(488\) | −0.869400 | + | 4.93061i | −0.0393559 | + | 0.223198i | ||||
\(489\) | −26.8060 | − | 46.4293i | −1.21221 | − | 2.09961i | ||||
\(490\) | −12.2496 | + | 10.2786i | −0.553381 | + | 0.464342i | ||||
\(491\) | −2.91175 | + | 5.04329i | −0.131405 | + | 0.227601i | −0.924219 | − | 0.381864i | \(-0.875282\pi\) |
0.792813 | + | 0.609465i | \(0.208616\pi\) | |||||||
\(492\) | −8.05687 | − | 13.9549i | −0.363232 | − | 0.629136i | ||||
\(493\) | 14.8281 | + | 5.39699i | 0.667825 | + | 0.243068i | ||||
\(494\) | −0.429718 | − | 0.360576i | −0.0193339 | − | 0.0162231i | ||||
\(495\) | −1.57698 | + | 2.73142i | −0.0708801 | + | 0.122768i | ||||
\(496\) | 0.480356 | + | 2.72424i | 0.0215686 | + | 0.122322i | ||||
\(497\) | 13.9121 | + | 78.8996i | 0.624044 | + | 3.53913i | ||||
\(498\) | −14.6075 | + | 12.2571i | −0.654577 | + | 0.549255i | ||||
\(499\) | −5.19893 | + | 1.89226i | −0.232736 | + | 0.0847090i | −0.455756 | − | 0.890105i | \(-0.650631\pi\) |
0.223019 | + | 0.974814i | \(0.428409\pi\) | |||||||
\(500\) | −0.939693 | + | 0.342020i | −0.0420243 | + | 0.0152956i | ||||
\(501\) | 18.3885 | − | 15.4298i | 0.821537 | − | 0.689351i | ||||
\(502\) | −1.47627 | − | 8.37235i | −0.0658892 | − | 0.373676i | ||||
\(503\) | −6.60178 | − | 37.4406i | −0.294359 | − | 1.66939i | −0.669796 | − | 0.742545i | \(-0.733619\pi\) |
0.375438 | − | 0.926848i | \(-0.377492\pi\) | |||||||
\(504\) | 7.97225 | − | 13.8083i | 0.355112 | − | 0.615073i | ||||
\(505\) | 11.4047 | + | 9.56967i | 0.507502 | + | 0.425845i | ||||
\(506\) | −3.92704 | − | 1.42933i | −0.174578 | − | 0.0635413i | ||||
\(507\) | 9.60673 | + | 16.6394i | 0.426650 | + | 0.738980i | ||||
\(508\) | −2.75813 | + | 4.77721i | −0.122372 | + | 0.211955i | ||||
\(509\) | −3.35433 | + | 2.81461i | −0.148678 | + | 0.124756i | −0.714093 | − | 0.700051i | \(-0.753161\pi\) |
0.565415 | + | 0.824807i | \(0.308716\pi\) | |||||||
\(510\) | 6.82384 | + | 11.8192i | 0.302165 | + | 0.523365i | ||||
\(511\) | 6.84856 | − | 38.8401i | 0.302963 | − | 1.71819i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0.0344240 | − | 0.195228i | 0.00151985 | − | 0.00861952i | ||||
\(514\) | 9.33805 | + | 7.83556i | 0.411884 | + | 0.345612i | ||||
\(515\) | 7.87241 | − | 2.86532i | 0.346900 | − | 0.126261i | ||||
\(516\) | 27.1581 | + | 9.88474i | 1.19557 | + | 0.435151i | ||||
\(517\) | −7.35702 | −0.323561 | ||||||||
\(518\) | −10.4644 | + | 27.2241i | −0.459781 | + | 1.19616i | ||||
\(519\) | −23.7278 | −1.04153 | ||||||||
\(520\) | 2.17565 | + | 0.791872i | 0.0954085 | + | 0.0347259i | ||||
\(521\) | 29.5859 | − | 10.7684i | 1.29618 | − | 0.471771i | 0.400429 | − | 0.916328i | \(-0.368861\pi\) |
0.895751 | + | 0.444557i | \(0.146639\pi\) | |||||||
\(522\) | 7.40749 | + | 6.21563i | 0.324217 | + | 0.272051i | ||||
\(523\) | 2.89269 | − | 16.4053i | 0.126488 | − | 0.717352i | −0.853924 | − | 0.520397i | \(-0.825784\pi\) |
0.980413 | − | 0.196954i | \(-0.0631050\pi\) | |||||||
\(524\) | 22.5052 | 0.983144 | ||||||||
\(525\) | 2.09406 | − | 11.8760i | 0.0913921 | − | 0.518310i | ||||
\(526\) | 4.46817 | + | 7.73909i | 0.194821 | + | 0.337440i | ||||
\(527\) | 11.4991 | − | 9.64890i | 0.500909 | − | 0.420313i | ||||
\(528\) | −1.19271 | + | 2.06583i | −0.0519059 | + | 0.0899037i | ||||
\(529\) | 1.79303 | + | 3.10561i | 0.0779577 | + | 0.135027i | ||||
\(530\) | −4.44627 | − | 1.61831i | −0.193134 | − | 0.0702949i | ||||
\(531\) | −12.4514 | − | 10.4479i | −0.540343 | − | 0.453402i | ||||
\(532\) | −0.580862 | + | 1.00608i | −0.0251835 | + | 0.0436192i | ||||
\(533\) | 2.57590 | + | 14.6086i | 0.111574 | + | 0.632770i | ||||
\(534\) | −2.89912 | − | 16.4417i | −0.125457 | − | 0.711504i | ||||
\(535\) | 10.2823 | − | 8.62790i | 0.444544 | − | 0.373017i | ||||
\(536\) | −2.19971 | + | 0.800628i | −0.0950129 | + | 0.0345819i | ||||
\(537\) | −5.26492 | + | 1.91627i | −0.227198 | + | 0.0826933i | ||||
\(538\) | 20.4360 | − | 17.1479i | 0.881059 | − | 0.739297i | ||||
\(539\) | 2.63367 | + | 14.9363i | 0.113440 | + | 0.643351i | ||||
\(540\) | 0.142080 | + | 0.805778i | 0.00611417 | + | 0.0346752i | ||||
\(541\) | −10.4573 | + | 18.1125i | −0.449593 | + | 0.778718i | −0.998359 | − | 0.0572579i | \(-0.981764\pi\) |
0.548766 | + | 0.835976i | \(0.315098\pi\) | |||||||
\(542\) | 24.1673 | + | 20.2788i | 1.03807 | + | 0.871048i | ||||
\(543\) | 42.0716 | + | 15.3128i | 1.80547 | + | 0.657136i | ||||
\(544\) | 2.71323 | + | 4.69946i | 0.116329 | + | 0.201488i | ||||
\(545\) | 8.90405 | − | 15.4223i | 0.381408 | − | 0.660617i | ||||
\(546\) | −21.3882 | + | 17.9469i | −0.915332 | + | 0.768055i | ||||
\(547\) | −10.5582 | − | 18.2873i | −0.451436 | − | 0.781910i | 0.547040 | − | 0.837107i | \(-0.315755\pi\) |
−0.998475 | + | 0.0551969i | \(0.982421\pi\) | |||||||
\(548\) | 2.79451 | − | 15.8485i | 0.119376 | − | 0.677013i | ||||
\(549\) | 16.6488 | 0.710555 | ||||||||
\(550\) | −0.164700 | + | 0.934058i | −0.00702282 | + | 0.0398284i | ||||
\(551\) | −0.539713 | − | 0.452873i | −0.0229926 | − | 0.0192930i | ||||
\(552\) | −10.4132 | + | 3.79010i | −0.443215 | + | 0.161317i | ||||
\(553\) | 39.5942 | + | 14.4111i | 1.68371 | + | 0.612822i | ||||
\(554\) | −22.1919 | −0.942842 | ||||||||
\(555\) | −4.97412 | − | 14.4670i | −0.211139 | − | 0.614092i | ||||
\(556\) | −10.5156 | −0.445962 | ||||||||
\(557\) | −10.9107 | − | 3.97117i | −0.462302 | − | 0.168264i | 0.100360 | − | 0.994951i | \(-0.468000\pi\) |
−0.562662 | + | 0.826687i | \(0.690223\pi\) | |||||||
\(558\) | 8.64398 | − | 3.14615i | 0.365929 | − | 0.133187i | ||||
\(559\) | −20.3812 | − | 17.1018i | −0.862032 | − | 0.723330i | ||||
\(560\) | 0.832620 | − | 4.72202i | 0.0351846 | − | 0.199542i | ||||
\(561\) | 12.9444 | 0.546512 | ||||||||
\(562\) | 1.22226 | − | 6.93177i | 0.0515579 | − | 0.292399i | ||||
\(563\) | 14.1876 | + | 24.5737i | 0.597937 | + | 1.03566i | 0.993125 | + | 0.117057i | \(0.0373461\pi\) |
−0.395188 | + | 0.918600i | \(0.629321\pi\) | |||||||
\(564\) | −14.9443 | + | 12.5397i | −0.629268 | + | 0.528018i | ||||
\(565\) | 3.37348 | − | 5.84303i | 0.141923 | − | 0.245818i | ||||
\(566\) | 11.0284 | + | 19.1018i | 0.463560 | + | 0.802909i | ||||
\(567\) | 35.6769 | + | 12.9853i | 1.49829 | + | 0.545333i | ||||
\(568\) | −12.7997 | − | 10.7403i | −0.537065 | − | 0.450651i | ||||
\(569\) | −16.3243 | + | 28.2746i | −0.684352 | + | 1.18533i | 0.289288 | + | 0.957242i | \(0.406581\pi\) |
−0.973640 | + | 0.228090i | \(0.926752\pi\) | |||||||
\(570\) | −0.105813 | − | 0.600094i | −0.00443201 | − | 0.0251352i | ||||
\(571\) | −0.118832 | − | 0.673931i | −0.00497298 | − | 0.0282032i | 0.982220 | − | 0.187732i | \(-0.0601136\pi\) |
−0.987193 | + | 0.159529i | \(0.949003\pi\) | |||||||
\(572\) | 1.68221 | − | 1.41154i | 0.0703366 | − | 0.0590194i | ||||
\(573\) | −1.59178 | + | 0.579360i | −0.0664975 | + | 0.0242031i | ||||
\(574\) | 28.8680 | − | 10.5071i | 1.20493 | − | 0.438558i | ||||
\(575\) | −3.37529 | + | 2.83220i | −0.140759 | + | 0.118111i | ||||
\(576\) | 0.577437 | + | 3.27481i | 0.0240599 | + | 0.136450i | ||||
\(577\) | −2.31474 | − | 13.1276i | −0.0963640 | − | 0.546508i | −0.994321 | − | 0.106424i | \(-0.966060\pi\) |
0.897957 | − | 0.440084i | \(-0.145051\pi\) | |||||||
\(578\) | 6.22328 | − | 10.7790i | 0.258854 | − | 0.448349i | ||||
\(579\) | 8.03171 | + | 6.73941i | 0.333787 | + | 0.280080i | ||||
\(580\) | 2.73255 | + | 0.994568i | 0.113463 | + | 0.0412972i | ||||
\(581\) | −18.1772 | − | 31.4838i | −0.754116 | − | 1.30617i | ||||
\(582\) | 2.58794 | − | 4.48244i | 0.107274 | − | 0.185803i | ||||
\(583\) | −3.43785 | + | 2.88470i | −0.142381 | + | 0.119472i | ||||
\(584\) | 4.11266 | + | 7.12334i | 0.170183 | + | 0.294766i | ||||
\(585\) | 1.33693 | − | 7.58209i | 0.0552752 | − | 0.313481i | ||||
\(586\) | −15.7509 | −0.650663 | ||||||||
\(587\) | 3.62994 | − | 20.5864i | 0.149824 | − | 0.849693i | −0.813543 | − | 0.581505i | \(-0.802464\pi\) |
0.963367 | − | 0.268188i | \(-0.0864248\pi\) | |||||||
\(588\) | 30.8080 | + | 25.8510i | 1.27050 | + | 1.06608i | ||||
\(589\) | −0.629804 | + | 0.229230i | −0.0259506 | + | 0.00944525i | ||||
\(590\) | −4.59319 | − | 1.67178i | −0.189099 | − | 0.0688263i | ||||
\(591\) | 17.7337 | 0.729467 | ||||||||
\(592\) | −1.97776 | − | 5.75226i | −0.0812856 | − | 0.236416i | ||||
\(593\) | −40.3180 | −1.65566 | −0.827831 | − | 0.560977i | \(-0.810425\pi\) | ||||
−0.827831 | + | 0.560977i | \(0.810425\pi\) | |||||||
\(594\) | 0.729243 | + | 0.265423i | 0.0299212 | + | 0.0108904i | ||||
\(595\) | −24.4500 | + | 8.89909i | −1.00235 | + | 0.364827i | ||||
\(596\) | 12.0250 | + | 10.0902i | 0.492563 | + | 0.413309i | ||||
\(597\) | −0.224024 | + | 1.27050i | −0.00916870 | + | 0.0519983i | ||||
\(598\) | 10.2014 | 0.417167 | ||||||||
\(599\) | −5.28228 | + | 29.9573i | −0.215828 | + | 1.22402i | 0.663636 | + | 0.748056i | \(0.269013\pi\) |
−0.879464 | + | 0.475966i | \(0.842099\pi\) | |||||||
\(600\) | 1.25751 | + | 2.17807i | 0.0513376 | + | 0.0889194i | ||||
\(601\) | 5.92755 | − | 4.97380i | 0.241790 | − | 0.202886i | −0.513838 | − | 0.857887i | \(-0.671777\pi\) |
0.755627 | + | 0.655002i | \(0.227332\pi\) | |||||||
\(602\) | −27.5498 | + | 47.7177i | −1.12285 | + | 1.94483i | ||||
\(603\) | 3.89210 | + | 6.74131i | 0.158498 | + | 0.274527i | ||||
\(604\) | −15.3022 | − | 5.56955i | −0.622638 | − | 0.226622i | ||||
\(605\) | −7.73736 | − | 6.49242i | −0.314569 | − | 0.263954i | ||||
\(606\) | 18.7215 | − | 32.4266i | 0.760510 | − | 1.31724i | ||||
\(607\) | −5.14498 | − | 29.1787i | −0.208828 | − | 1.18433i | −0.891300 | − | 0.453413i | \(-0.850206\pi\) |
0.682472 | − | 0.730912i | \(-0.260905\pi\) | |||||||
\(608\) | −0.0420723 | − | 0.238604i | −0.00170626 | − | 0.00967667i | ||||
\(609\) | −26.8630 | + | 22.5407i | −1.08854 | + | 0.913397i | ||||
\(610\) | 4.70474 | − | 1.71238i | 0.190489 | − | 0.0693324i | ||||
\(611\) | 16.8760 | − | 6.14235i | 0.682728 | − | 0.248493i | ||||
\(612\) | 13.8231 | − | 11.5990i | 0.558766 | − | 0.468861i | ||||
\(613\) | −4.69903 | − | 26.6495i | −0.189792 | − | 1.07636i | −0.919642 | − | 0.392757i | \(-0.871521\pi\) |
0.729850 | − | 0.683607i | \(-0.239590\pi\) | |||||||
\(614\) | −4.79881 | − | 27.2154i | −0.193664 | − | 1.09832i | ||||
\(615\) | −8.05687 | + | 13.9549i | −0.324884 | + | 0.562716i | ||||
\(616\) | −3.48380 | − | 2.92325i | −0.140366 | − | 0.117781i | ||||
\(617\) | 40.4336 | + | 14.7166i | 1.62780 | + | 0.592469i | 0.984845 | − | 0.173437i | \(-0.0554874\pi\) |
0.642952 | + | 0.765907i | \(0.277710\pi\) | |||||||
\(618\) | −10.5350 | − | 18.2471i | −0.423779 | − | 0.734006i | ||||
\(619\) | −1.01304 | + | 1.75463i | −0.0407173 | + | 0.0705245i | −0.885666 | − | 0.464323i | \(-0.846298\pi\) |
0.844949 | + | 0.534848i | \(0.179631\pi\) | |||||||
\(620\) | 2.11908 | − | 1.77812i | 0.0851043 | − | 0.0714110i | ||||
\(621\) | 1.80257 | + | 3.12214i | 0.0723345 | + | 0.125287i | ||||
\(622\) | −1.20553 | + | 6.83687i | −0.0483372 | + | 0.274134i | ||||
\(623\) | 31.8296 | 1.27523 | ||||||||
\(624\) | 1.01115 | − | 5.73451i | 0.0404783 | − | 0.229564i | ||||
\(625\) | 0.766044 | + | 0.642788i | 0.0306418 | + | 0.0257115i | ||||
\(626\) | 9.73219 | − | 3.54223i | 0.388977 | − | 0.141576i | ||||
\(627\) | −0.543095 | − | 0.197671i | −0.0216891 | − | 0.00789420i | ||||
\(628\) | −24.9249 | −0.994613 | ||||||||
\(629\) | −21.6664 | + | 24.9016i | −0.863894 | + | 0.992893i | ||||
\(630\) | −15.9445 | −0.635244 | ||||||||
\(631\) | 14.2936 | + | 5.20243i | 0.569018 | + | 0.207106i | 0.610476 | − | 0.792035i | \(-0.290978\pi\) |
−0.0414582 | + | 0.999140i | \(0.513200\pi\) | |||||||
\(632\) | −8.25762 | + | 3.00553i | −0.328470 | + | 0.119553i | ||||
\(633\) | −45.4175 | − | 38.1098i | −1.80518 | − | 1.51473i | ||||
\(634\) | 1.39290 | − | 7.89953i | 0.0553192 | − | 0.313730i | ||||
\(635\) | 5.51625 | 0.218906 | ||||||||
\(636\) | −2.06644 | + | 11.7193i | −0.0819395 | + | 0.464702i | ||||
\(637\) | −18.5115 | − | 32.0629i | −0.733452 | − | 1.27038i | ||||
\(638\) | 2.11280 | − | 1.77285i | 0.0836467 | − | 0.0701879i | ||||
\(639\) | −27.7812 | + | 48.1185i | −1.09901 | + | 1.90354i | ||||
\(640\) | 0.500000 | + | 0.866025i | 0.0197642 | + | 0.0342327i | ||||
\(641\) | −1.54426 | − | 0.562064i | −0.0609946 | − | 0.0222002i | 0.311343 | − | 0.950298i | \(-0.399221\pi\) |
−0.372337 | + | 0.928097i | \(0.621444\pi\) | |||||||
\(642\) | −25.8603 | − | 21.6994i | −1.02062 | − | 0.856405i | ||||
\(643\) | −19.7583 | + | 34.2224i | −0.779191 | + | 1.34960i | 0.153218 | + | 0.988192i | \(0.451036\pi\) |
−0.932409 | + | 0.361406i | \(0.882297\pi\) | |||||||
\(644\) | −3.66863 | − | 20.8058i | −0.144564 | − | 0.819864i | ||||
\(645\) | −5.01861 | − | 28.4620i | −0.197608 | − | 1.12069i | ||||
\(646\) | −1.00716 | + | 0.845106i | −0.0396261 | + | 0.0332502i | ||||
\(647\) | −18.3979 | + | 6.69628i | −0.723295 | + | 0.263258i | −0.677324 | − | 0.735685i | \(-0.736860\pi\) |
−0.0459710 | + | 0.998943i | \(0.514638\pi\) | |||||||
\(648\) | −7.44065 | + | 2.70818i | −0.292296 | + | 0.106387i | ||||
\(649\) | −3.55144 | + | 2.98002i | −0.139406 | + | 0.116976i | ||||
\(650\) | −0.402044 | − | 2.28010i | −0.0157695 | − | 0.0894330i | ||||
\(651\) | 5.79270 | + | 32.8521i | 0.227034 | + | 1.28757i | ||||
\(652\) | −10.6584 | + | 18.4608i | −0.417414 | + | 0.722981i | ||||
\(653\) | −13.8395 | − | 11.6127i | −0.541582 | − | 0.454442i | 0.330496 | − | 0.943807i | \(-0.392784\pi\) |
−0.872079 | + | 0.489366i | \(0.837228\pi\) | |||||||
\(654\) | −42.0867 | − | 15.3183i | −1.64572 | − | 0.598993i | ||||
\(655\) | −11.2526 | − | 19.4901i | −0.439675 | − | 0.761540i | ||||
\(656\) | −3.20350 | + | 5.54863i | −0.125076 | + | 0.216638i | ||||
\(657\) | 20.9528 | − | 17.5815i | 0.817445 | − | 0.685918i | ||||
\(658\) | −18.5963 | − | 32.2097i | −0.724958 | − | 1.25566i | ||||
\(659\) | −4.43957 | + | 25.1781i | −0.172941 | + | 0.980798i | 0.767552 | + | 0.640986i | \(0.221474\pi\) |
−0.940494 | + | 0.339812i | \(0.889637\pi\) | |||||||
\(660\) | 2.38542 | 0.0928522 | ||||||||
\(661\) | 4.57313 | − | 25.9355i | 0.177874 | − | 1.00877i | −0.756899 | − | 0.653531i | \(-0.773287\pi\) |
0.934774 | − | 0.355244i | \(-0.115602\pi\) | |||||||
\(662\) | −3.34651 | − | 2.80805i | −0.130066 | − | 0.109138i | ||||
\(663\) | −29.6926 | + | 10.8072i | −1.15316 | + | 0.419717i | ||||
\(664\) | 7.12468 | + | 2.59317i | 0.276491 | + | 0.100635i | ||||
\(665\) | 1.16172 | 0.0450497 | ||||||||
\(666\) | −17.6955 | + | 9.79837i | −0.685687 | + | 0.379679i | ||||
\(667\) | 12.8127 | 0.496109 | ||||||||
\(668\) | −8.96884 | − | 3.26439i | −0.347015 | − | 0.126303i | ||||
\(669\) | 50.5653 | − | 18.4043i | 1.95497 | − | 0.711549i | ||||
\(670\) | 1.79322 | + | 1.50469i | 0.0692780 | + | 0.0581312i | ||||
\(671\) | 0.824598 | − | 4.67653i | 0.0318332 | − | 0.180535i | ||||
\(672\) | −12.0592 | −0.465193 | ||||||||
\(673\) | 2.60467 | − | 14.7718i | 0.100403 | − | 0.569412i | −0.892555 | − | 0.450939i | \(-0.851089\pi\) |
0.992957 | − | 0.118473i | \(-0.0377998\pi\) | |||||||
\(674\) | −0.411668 | − | 0.713030i | −0.0158569 | − | 0.0274649i | ||||
\(675\) | 0.626784 | − | 0.525935i | 0.0241249 | − | 0.0202432i | ||||
\(676\) | 3.81974 | − | 6.61599i | 0.146913 | − | 0.254461i | ||||
\(677\) | 9.27248 | + | 16.0604i | 0.356371 | + | 0.617252i | 0.987352 | − | 0.158546i | \(-0.0506808\pi\) |
−0.630981 | + | 0.775798i | \(0.717347\pi\) | |||||||
\(678\) | −15.9454 | − | 5.80364i | −0.612379 | − | 0.222888i | ||||
\(679\) | 7.55915 | + | 6.34288i | 0.290093 | + | 0.243417i | ||||
\(680\) | 2.71323 | − | 4.69946i | 0.104048 | − | 0.180216i | ||||
\(681\) | −9.81700 | − | 55.6750i | −0.376188 | − | 2.13347i | ||||
\(682\) | −0.455602 | − | 2.58385i | −0.0174459 | − | 0.0989407i | ||||
\(683\) | 25.9345 | − | 21.7616i | 0.992354 | − | 0.832684i | 0.00644751 | − | 0.999979i | \(-0.497948\pi\) |
0.985907 | + | 0.167295i | \(0.0535032\pi\) | |||||||
\(684\) | −0.757089 | + | 0.275558i | −0.0289480 | + | 0.0105362i | ||||
\(685\) | −15.1224 | + | 5.50411i | −0.577798 | + | 0.210301i | ||||
\(686\) | −33.0237 | + | 27.7102i | −1.26085 | + | 1.05798i | ||||
\(687\) | 0.865579 | + | 4.90894i | 0.0330239 | + | 0.187288i | ||||
\(688\) | −1.99546 | − | 11.3168i | −0.0760761 | − | 0.431449i | ||||
\(689\) | 5.47751 | − | 9.48733i | 0.208677 | − | 0.361439i | ||||
\(690\) | 8.48892 | + | 7.12305i | 0.323168 | + | 0.271170i | ||||
\(691\) | −10.7613 | − | 3.91679i | −0.409379 | − | 0.149002i | 0.129118 | − | 0.991629i | \(-0.458785\pi\) |
−0.538497 | + | 0.842627i | \(0.681008\pi\) | |||||||
\(692\) | 4.71721 | + | 8.17044i | 0.179321 | + | 0.310594i | ||||
\(693\) | −7.56142 | + | 13.0968i | −0.287235 | + | 0.497505i | ||||
\(694\) | 5.42895 | − | 4.55543i | 0.206080 | − | 0.172922i | ||||
\(695\) | 5.25781 | + | 9.10680i | 0.199440 | + | 0.345441i | ||||
\(696\) | 1.26997 | − | 7.20238i | 0.0481382 | − | 0.273005i | ||||
\(697\) | 34.7674 | 1.31691 | ||||||||
\(698\) | 1.37913 | − | 7.82141i | 0.0522007 | − | 0.296045i | ||||
\(699\) | 2.71314 | + | 2.27659i | 0.102620 | + | 0.0861086i | ||||
\(700\) | −4.50570 | + | 1.63994i | −0.170299 | + | 0.0619839i | ||||
\(701\) | −9.13833 | − | 3.32608i | −0.345150 | − | 0.125624i | 0.163628 | − | 0.986522i | \(-0.447680\pi\) |
−0.508778 | + | 0.860898i | \(0.669903\pi\) | |||||||
\(702\) | −1.89438 | −0.0714988 | ||||||||
\(703\) | 1.28930 | − | 0.713913i | 0.0486270 | − | 0.0269257i | ||||
\(704\) | 0.948468 | 0.0357467 | ||||||||
\(705\) | 18.3319 | + | 6.67226i | 0.690418 | + | 0.251292i | ||||
\(706\) | −12.8364 | + | 4.67208i | −0.483106 | + | 0.175836i | ||||
\(707\) | 54.6840 | + | 45.8853i | 2.05660 | + | 1.72569i | ||||
\(708\) | −2.13472 | + | 12.1066i | −0.0802276 | + | 0.454993i | ||||
\(709\) | 40.5169 | 1.52164 | 0.760822 | − | 0.648961i | \(-0.224796\pi\) | ||||
0.760822 | + | 0.648961i | \(0.224796\pi\) | |||||||
\(710\) | −2.90147 | + | 16.4550i | −0.108890 | + | 0.617546i | ||||
\(711\) | 14.6108 | + | 25.3066i | 0.547947 | + | 0.949072i | ||||
\(712\) | −5.08521 | + | 4.26700i | −0.190576 | + | 0.159912i | ||||
\(713\) | 6.09425 | − | 10.5555i | 0.228231 | − | 0.395308i | ||||
\(714\) | 32.7194 | + | 56.6717i | 1.22449 | + | 2.12088i | ||||
\(715\) | −2.06353 | − | 0.751065i | −0.0771718 | − | 0.0280882i | ||||
\(716\) | 1.70655 | + | 1.43196i | 0.0637767 | + | 0.0535150i | ||||
\(717\) | −22.2172 | + | 38.4813i | −0.829717 | + | 1.43711i | ||||
\(718\) | 2.90033 | + | 16.4486i | 0.108239 | + | 0.613855i | ||||
\(719\) | 6.62467 | + | 37.5704i | 0.247059 | + | 1.40114i | 0.815663 | + | 0.578527i | \(0.196372\pi\) |
−0.568604 | + | 0.822611i | \(0.692516\pi\) | |||||||
\(720\) | 2.54735 | − | 2.13748i | 0.0949341 | − | 0.0796592i | ||||
\(721\) | 37.7471 | − | 13.7388i | 1.40578 | − | 0.511661i | ||||
\(722\) | −17.7990 | + | 6.47831i | −0.662410 | + | 0.241098i | ||||
\(723\) | −23.7737 | + | 19.9485i | −0.884154 | + | 0.741894i | ||||
\(724\) | −3.09124 | − | 17.5313i | −0.114885 | − | 0.651545i | ||||
\(725\) | −0.504955 | − | 2.86374i | −0.0187536 | − | 0.106357i | ||||
\(726\) | −12.7014 | + | 21.9994i | −0.471392 | + | 0.816475i | ||||
\(727\) | 16.5649 | + | 13.8996i | 0.614358 | + | 0.515508i | 0.896025 | − | 0.444005i | \(-0.146443\pi\) |
−0.281666 | + | 0.959512i | \(0.590887\pi\) | |||||||
\(728\) | 10.4319 | + | 3.79692i | 0.386634 | + | 0.140723i | ||||
\(729\) | 16.2520 | + | 28.1493i | 0.601925 | + | 1.04257i | ||||
\(730\) | 4.11266 | − | 7.12334i | 0.152216 | − | 0.263647i | ||||
\(731\) | −47.7687 | + | 40.0827i | −1.76679 | + | 1.48251i | ||||
\(732\) | −6.29595 | − | 10.9049i | −0.232705 | − | 0.403057i | ||||
\(733\) | −1.46963 | + | 8.33468i | −0.0542820 | + | 0.307849i | −0.999845 | − | 0.0175897i | \(-0.994401\pi\) |
0.945563 | + | 0.325438i | \(0.105512\pi\) | |||||||
\(734\) | 4.09991 | 0.151330 | ||||||||
\(735\) | 6.98361 | − | 39.6060i | 0.257594 | − | 1.46089i | ||||
\(736\) | 3.37529 | + | 2.83220i | 0.124415 | + | 0.104396i | ||||
\(737\) | 2.08635 | − | 0.759369i | 0.0768517 | − | 0.0279717i | ||||
\(738\) | 20.0205 | + | 7.28687i | 0.736966 | + | 0.268234i | ||||
\(739\) | 30.7940 | 1.13278 | 0.566388 | − | 0.824139i | \(-0.308340\pi\) | ||||
0.566388 | + | 0.824139i | \(0.308340\pi\) | |||||||
\(740\) | −3.99272 | + | 4.58892i | −0.146775 | + | 0.168692i | ||||
\(741\) | 1.41082 | 0.0518277 | ||||||||
\(742\) | −21.3193 | − | 7.75958i | −0.782655 | − | 0.284863i | ||||
\(743\) | −0.899095 | + | 0.327244i | −0.0329846 | + | 0.0120054i | −0.358460 | − | 0.933545i | \(-0.616698\pi\) |
0.325475 | + | 0.945551i | \(0.394476\pi\) | |||||||
\(744\) | −5.32953 | − | 4.47200i | −0.195390 | − | 0.163952i | ||||
\(745\) | 2.72584 | − | 15.4590i | 0.0998672 | − | 0.566375i | ||||
\(746\) | 4.20307 | 0.153885 | ||||||||
\(747\) | 4.37809 | − | 24.8294i | 0.160186 | − | 0.908459i | ||||
\(748\) | −2.57341 | − | 4.45729i | −0.0940934 | − | 0.162974i | ||||
\(749\) | 49.3024 | − | 41.3696i | 1.80147 | − | 1.51161i | ||||
\(750\) | 1.25751 | − | 2.17807i | 0.0459178 | − | 0.0795319i | ||||
\(751\) | 13.6104 | + | 23.5740i | 0.496652 | + | 0.860226i | 0.999993 | − | 0.00386215i | \(-0.00122936\pi\) |
−0.503341 | + | 0.864088i | \(0.667896\pi\) | |||||||
\(752\) | 7.28896 | + | 2.65296i | 0.265801 | + | 0.0967436i | ||||
\(753\) | 16.3791 | + | 13.7437i | 0.596889 | + | 0.500850i | ||||
\(754\) | −3.36632 | + | 5.83064i | −0.122594 | + | 0.212340i | ||||
\(755\) | 2.82773 | + | 16.0369i | 0.102912 | + | 0.583642i | ||||
\(756\) | 0.681257 | + | 3.86360i | 0.0247771 | + | 0.140518i | ||||
\(757\) | −41.4413 | + | 34.7734i | −1.50621 | + | 1.26386i | −0.635462 | + | 0.772132i | \(0.719190\pi\) |
−0.870749 | + | 0.491728i | \(0.836365\pi\) | |||||||
\(758\) | 13.3498 | − | 4.85892i | 0.484885 | − | 0.176484i | ||||
\(759\) | 9.87658 | − | 3.59478i | 0.358497 | − | 0.130482i | ||||
\(760\) | −0.185601 | + | 0.155738i | −0.00673245 | + | 0.00564920i | ||||
\(761\) | 5.67686 | + | 32.1951i | 0.205786 | + | 1.16707i | 0.896198 | + | 0.443654i | \(0.146318\pi\) |
−0.690412 | + | 0.723416i | \(0.742571\pi\) | |||||||
\(762\) | −2.40911 | − | 13.6627i | −0.0872727 | − | 0.494948i | ||||
\(763\) | 42.6937 | − | 73.9477i | 1.54562 | − | 2.67709i | ||||
\(764\) | 0.515952 | + | 0.432935i | 0.0186665 | + | 0.0156630i | ||||
\(765\) | −16.9566 | − | 6.17168i | −0.613066 | − | 0.223138i | ||||
\(766\) | 8.86619 | + | 15.3567i | 0.320348 | + | 0.554860i | ||||
\(767\) | 5.65851 | − | 9.80082i | 0.204317 | − | 0.353887i | ||||
\(768\) | 1.92662 | − | 1.61662i | 0.0695208 | − | 0.0583349i | ||||
\(769\) | 11.3828 | + | 19.7155i | 0.410473 | + | 0.710961i | 0.994942 | − | 0.100456i | \(-0.0320301\pi\) |
−0.584468 | + | 0.811417i | \(0.698697\pi\) | |||||||
\(770\) | −0.789713 | + | 4.47868i | −0.0284593 | + | 0.161401i | ||||
\(771\) | −30.6580 | −1.10412 | ||||||||
\(772\) | 0.723907 | − | 4.10548i | 0.0260540 | − | 0.147760i | ||||
\(773\) | −23.8715 | − | 20.0306i | −0.858599 | − | 0.720450i | 0.103067 | − | 0.994674i | \(-0.467134\pi\) |
−0.961666 | + | 0.274224i | \(0.911579\pi\) | |||||||
\(774\) | −35.9081 | + | 13.0695i | −1.29069 | + | 0.469773i | ||||
\(775\) | −2.59944 | − | 0.946117i | −0.0933745 | − | 0.0339855i | ||||
\(776\) | −2.05799 | −0.0738774 | ||||||||
\(777\) | −23.8502 | − | 69.3675i | −0.855622 | − | 2.48855i | ||||
\(778\) | −8.17967 | −0.293255 | ||||||||
\(779\) | −1.45870 | − | 0.530925i | −0.0522635 | − | 0.0190224i | ||||
\(780\) | −5.47180 | + | 1.99157i | −0.195922 | + | 0.0713098i | ||||
\(781\) | 12.1401 | + | 10.1868i | 0.434408 | + | 0.364512i | ||||
\(782\) | 4.15188 | − | 23.5465i | 0.148471 | − | 0.842020i | ||||
\(783\) | −2.37929 | −0.0850288 | ||||||||
\(784\) | 2.77676 | − | 15.7478i | 0.0991701 | − | 0.562421i | ||||
\(785\) | 12.4625 | + | 21.5856i | 0.444804 | + | 0.770424i | ||||
\(786\) | −43.3589 | + | 36.3824i | −1.54656 | + | 1.29772i | ||||
\(787\) | −20.0297 | + | 34.6925i | −0.713982 | + | 1.23665i | 0.249369 | + | 0.968409i | \(0.419777\pi\) |
−0.963351 | + | 0.268245i | \(0.913556\pi\) | |||||||
\(788\) | −3.52556 | − | 6.10645i | −0.125593 | − | 0.217533i | ||||
\(789\) | −21.1196 | − | 7.68692i | −0.751879 | − | 0.273662i | ||||
\(790\) | 6.73167 | + | 5.64854i | 0.239502 | + | 0.200966i | ||||
\(791\) | 16.1754 | − | 28.0165i | 0.575130 | − | 0.996154i | ||||
\(792\) | −0.547681 | − | 3.10605i | −0.0194610 | − | 0.110369i | ||||
\(793\) | 2.01290 | + | 11.4157i | 0.0714803 | + | 0.405385i | ||||
\(794\) | 15.9294 | − | 13.3663i | 0.565313 | − | 0.474354i | ||||
\(795\) | 11.1825 | − | 4.07009i | 0.396601 | − | 0.144351i | ||||
\(796\) | 0.482025 | − | 0.175443i | 0.0170849 | − | 0.00621840i | ||||
\(797\) | −17.8962 | + | 15.0167i | −0.633916 | + | 0.531919i | −0.902143 | − | 0.431437i | \(-0.858007\pi\) |
0.268227 | + | 0.963356i | \(0.413562\pi\) | |||||||
\(798\) | −0.507358 | − | 2.87737i | −0.0179603 | − | 0.101858i | ||||
\(799\) | −7.30915 | − | 41.4523i | −0.258579 | − | 1.46648i | ||||
\(800\) | 0.500000 | − | 0.866025i | 0.0176777 | − | 0.0306186i | ||||
\(801\) | 16.9100 | + | 14.1892i | 0.597485 | + | 0.501350i | ||||
\(802\) | −12.3988 | − | 4.51278i | −0.437816 | − | 0.159352i | ||||
\(803\) | −3.90073 | − | 6.75625i | −0.137654 | − | 0.238423i | ||||
\(804\) | 2.94368 | − | 5.09860i | 0.103816 | − | 0.179814i | ||||
\(805\) | −16.1841 | + | 13.5800i | −0.570413 | + | 0.478633i | ||||
\(806\) | 3.20233 | + | 5.54660i | 0.112797 | + | 0.195371i | ||||
\(807\) | −11.6508 | + | 66.0747i | −0.410126 | + | 2.32594i | ||||
\(808\) | −14.8878 | −0.523750 | ||||||||
\(809\) | −3.82166 | + | 21.6737i | −0.134363 | + | 0.762008i | 0.840939 | + | 0.541130i | \(0.182003\pi\) |
−0.975302 | + | 0.220878i | \(0.929108\pi\) | |||||||
\(810\) | 6.06567 | + | 5.08970i | 0.213126 | + | 0.178834i | ||||
\(811\) | −39.8030 | + | 14.4871i | −1.39767 | + | 0.508711i | −0.927487 | − | 0.373856i | \(-0.878035\pi\) |
−0.470186 | + | 0.882568i | \(0.655813\pi\) | |||||||
\(812\) | 13.1022 | + | 4.76882i | 0.459798 | + | 0.167353i | ||||
\(813\) | −79.3443 | −2.78273 | ||||||||
\(814\) | 1.87584 | + | 5.45583i | 0.0657483 | + | 0.191227i | ||||
\(815\) | 21.3167 | 0.746692 | ||||||||
\(816\) | −12.8246 | − | 4.66778i | −0.448952 | − | 0.163405i | ||||
\(817\) | 2.61628 | − | 0.952248i | 0.0915320 | − | 0.0333149i | ||||
\(818\) | −6.75094 | − | 5.66471i | −0.236041 | − | 0.198062i | ||||
\(819\) | 6.41039 | − | 36.3551i | 0.223997 | − | 1.27035i | ||||
\(820\) | 6.40700 | 0.223742 | ||||||||
\(821\) | 3.67930 | − | 20.8664i | 0.128409 | − | 0.728241i | −0.850816 | − | 0.525463i | \(-0.823892\pi\) |
0.979225 | − | 0.202778i | \(-0.0649969\pi\) | |||||||
\(822\) | 20.2370 | + | 35.0516i | 0.705848 | + | 1.22256i | ||||
\(823\) | 18.1626 | − | 15.2402i | 0.633107 | − | 0.531240i | −0.268785 | − | 0.963200i | \(-0.586622\pi\) |
0.901893 | + | 0.431960i | \(0.142178\pi\) | |||||||
\(824\) | −4.18882 | + | 7.25525i | −0.145924 | + | 0.252749i | ||||
\(825\) | −1.19271 | − | 2.06583i | −0.0415248 | − | 0.0719230i | ||||
\(826\) | −22.0237 | − | 8.01598i | −0.766304 | − | 0.278912i | ||||
\(827\) | −2.53212 | − | 2.12470i | −0.0880504 | − | 0.0738831i | 0.597700 | − | 0.801720i | \(-0.296081\pi\) |
−0.685750 | + | 0.727837i | \(0.740526\pi\) | |||||||
\(828\) | 7.32591 | − | 12.6888i | 0.254593 | − | 0.440968i | ||||
\(829\) | −8.11220 | − | 46.0065i | −0.281748 | − | 1.59787i | −0.716675 | − | 0.697408i | \(-0.754337\pi\) |
0.434927 | − | 0.900466i | \(-0.356774\pi\) | |||||||
\(830\) | −1.31659 | − | 7.46674i | −0.0456994 | − | 0.259174i | ||||
\(831\) | 42.7552 | − | 35.8759i | 1.48316 | − | 1.24452i | ||||
\(832\) | −2.17565 | + | 0.791872i | −0.0754271 | + | 0.0274532i | ||||
\(833\) | −81.5402 | + | 29.6782i | −2.82520 | + | 1.02829i | ||||
\(834\) | 20.2596 | − | 16.9998i | 0.701532 | − | 0.588655i | ||||
\(835\) | 1.65737 | + | 9.39944i | 0.0573558 | + | 0.325281i | ||||
\(836\) | 0.0399042 | + | 0.226308i | 0.00138012 | + | 0.00782703i | ||||
\(837\) | −1.13169 | + | 1.96014i | −0.0391169 | + | 0.0677525i | ||||
\(838\) | −4.89141 | − | 4.10438i | −0.168971 | − | 0.141783i | ||||
\(839\) | −3.41430 | − | 1.24270i | −0.117875 | − | 0.0429029i | 0.282409 | − | 0.959294i | \(-0.408866\pi\) |
−0.400284 | + | 0.916391i | \(0.631089\pi\) | |||||||
\(840\) | 6.02959 | + | 10.4436i | 0.208041 | + | 0.360337i | ||||
\(841\) | 10.2720 | − | 17.7916i | 0.354207 | − | 0.613504i | ||||
\(842\) | −12.0508 | + | 10.1118i | −0.415297 | + | 0.348476i | ||||
\(843\) | 8.85125 | + | 15.3308i | 0.304853 | + | 0.528021i | ||||
\(844\) | −4.09353 | + | 23.2156i | −0.140905 | + | 0.799112i | ||||
\(845\) | −7.63949 | −0.262806 | ||||||||
\(846\) | 4.47903 | − | 25.4019i | 0.153992 | − | 0.873334i | ||||
\(847\) | −37.0996 | − | 31.1303i | −1.27476 | − | 1.06965i | ||||
\(848\) | 4.44627 | − | 1.61831i | 0.152686 | − | 0.0555730i | ||||
\(849\) | −52.1280 | − | 18.9730i | −1.78903 | − | 0.651153i | ||||
\(850\) | −5.42647 | −0.186126 | ||||||||
\(851\) | −9.61604 | + | 25.0170i | −0.329634 | + | 0.857570i | ||||
\(852\) | 42.0232 | 1.43969 | ||||||||
\(853\) | −10.8729 | − | 3.95740i | −0.372280 | − | 0.135499i | 0.149103 | − | 0.988822i | \(-0.452361\pi\) |
−0.521383 | + | 0.853323i | \(0.674584\pi\) | |||||||
\(854\) | 22.5586 | − | 8.21065i | 0.771939 | − | 0.280963i | ||||
\(855\) | 0.617184 | + | 0.517879i | 0.0211073 | + | 0.0177111i | ||||
\(856\) | −2.33082 | + | 13.2187i | −0.0796656 | + | 0.451806i | ||||
\(857\) | −11.9626 | −0.408635 | −0.204318 | − | 0.978905i | \(-0.565498\pi\) | ||||
−0.204318 | + | 0.978905i | \(0.565498\pi\) | |||||||
\(858\) | −0.959041 | + | 5.43899i | −0.0327411 | + | 0.185684i | ||||
\(859\) | 13.4752 | + | 23.3397i | 0.459768 | + | 0.796341i | 0.998948 | − | 0.0458488i | \(-0.0145992\pi\) |
−0.539180 | + | 0.842190i | \(0.681266\pi\) | |||||||
\(860\) | −8.80290 | + | 7.38651i | −0.300177 | + | 0.251878i | ||||
\(861\) | −38.6316 | + | 66.9119i | −1.31656 | + | 2.28035i | ||||
\(862\) | −18.7569 | − | 32.4878i | −0.638861 | − | 1.10654i | ||||
\(863\) | −2.70514 | − | 0.984592i | −0.0920842 | − | 0.0335159i | 0.295567 | − | 0.955322i | \(-0.404491\pi\) |
−0.387651 | + | 0.921806i | \(0.626714\pi\) | |||||||
\(864\) | −0.626784 | − | 0.525935i | −0.0213236 | − | 0.0178927i | ||||
\(865\) | 4.71721 | − | 8.17044i | 0.160390 | − | 0.277803i | ||||
\(866\) | 7.12228 | + | 40.3925i | 0.242025 | + | 1.37259i | ||||
\(867\) | 5.43577 | + | 30.8278i | 0.184609 | + | 1.04697i | ||||
\(868\) | 10.1607 | − | 8.52584i | 0.344877 | − | 0.289386i | ||||
\(869\) | 7.83208 | − | 2.85064i | 0.265685 | − | 0.0967015i | ||||
\(870\) | −6.87243 | + | 2.50136i | −0.232997 | + | 0.0848040i | ||||
\(871\) | −4.15180 | + | 3.48377i | −0.140678 | + | 0.118043i | ||||
\(872\) | 3.09234 | + | 17.5376i | 0.104720 | + | 0.593897i | ||||
\(873\) | 1.18836 | + | 6.73951i | 0.0402198 | + | 0.228098i | ||||
\(874\) | −0.533769 | + | 0.924515i | −0.0180550 | + | 0.0312722i | ||||
\(875\) | 3.67308 | + | 3.08208i | 0.124173 | + | 0.104193i | ||||
\(876\) | −19.4393 | − | 7.07532i | −0.656793 | − | 0.239053i | ||||
\(877\) | 0.314145 | + | 0.544115i | 0.0106079 | + | 0.0183735i | 0.871281 | − | 0.490785i | \(-0.163290\pi\) |
−0.860673 | + | 0.509159i | \(0.829957\pi\) | |||||||
\(878\) | −4.62669 | + | 8.01367i | −0.156143 | + | 0.270448i | ||||
\(879\) | 30.3459 | − | 25.4632i | 1.02354 | − | 0.858854i | ||||
\(880\) | −0.474234 | − | 0.821397i | −0.0159864 | − | 0.0276893i | ||||
\(881\) | −5.76072 | + | 32.6707i | −0.194084 | + | 1.10070i | 0.719634 | + | 0.694353i | \(0.244310\pi\) |
−0.913718 | + | 0.406349i | \(0.866802\pi\) | |||||||
\(882\) | −53.1744 | −1.79048 | ||||||||
\(883\) | −5.82695 | + | 33.0463i | −0.196092 | + | 1.11210i | 0.714762 | + | 0.699368i | \(0.246535\pi\) |
−0.910854 | + | 0.412728i | \(0.864576\pi\) | |||||||
\(884\) | 9.62442 | + | 8.07585i | 0.323704 | + | 0.271620i | ||||
\(885\) | 11.5520 | − | 4.20457i | 0.388315 | − | 0.141335i | ||||
\(886\) | −3.38199 | − | 1.23094i | −0.113620 | − | 0.0413543i | ||||
\(887\) | 34.2329 | 1.14943 | 0.574714 | − | 0.818354i | \(-0.305113\pi\) | ||||
0.574714 | + | 0.818354i | \(0.305113\pi\) | |||||||
\(888\) | 13.1096 | + | 7.88510i | 0.439930 | + | 0.264607i | ||||
\(889\) | 26.4497 | 0.887094 | ||||||||
\(890\) | 6.23793 | + | 2.27042i | 0.209096 | + | 0.0761047i | ||||
\(891\) | 7.05721 | − | 2.56862i | 0.236426 | − | 0.0860519i | ||||
\(892\) | −16.3900 | − | 13.7528i | −0.548778 | − | 0.460479i | ||||
\(893\) | −0.326344 | + | 1.85079i | −0.0109207 | + | 0.0619344i | ||||
\(894\) | −39.4796 | −1.32039 | ||||||||
\(895\) | 0.386843 | − | 2.19389i | 0.0129307 | − | 0.0733338i | ||||
\(896\) | 2.39743 | + | 4.15248i | 0.0800926 | + | 0.138724i | ||||
\(897\) | −19.6542 | + | 16.4918i | −0.656235 | + | 0.550647i | ||||
\(898\) | 13.1352 | − | 22.7508i | 0.438327 | − | 0.759204i | ||||
\(899\) | 4.02204 | + | 6.96637i | 0.134142 | + | 0.232341i | ||||
\(900\) | −3.12479 | − | 1.13733i | −0.104160 | − | 0.0379110i | ||||
\(901\) | −19.6690 | − | 16.5042i | −0.655268 | − | 0.549835i | ||||
\(902\) | 3.03842 | − | 5.26269i | 0.101168 | − | 0.175229i | ||||
\(903\) | −24.0636 | − | 136.471i | −0.800786 | − | 4.54148i | ||||
\(904\) | 1.17160 | + | 6.64445i | 0.0389667 | + | 0.220991i | ||||
\(905\) | −13.6369 | + | 11.4427i | −0.453306 | + | 0.380369i | ||||
\(906\) | 38.4854 | − | 14.0075i | 1.27859 | − | 0.465369i | ||||
\(907\) | 14.5707 | − | 5.30329i | 0.483811 | − | 0.176093i | −0.0885872 | − | 0.996068i | \(-0.528235\pi\) |
0.572399 | + | 0.819975i | \(0.306013\pi\) | |||||||
\(908\) | −17.2195 | + | 14.4489i | −0.571450 | + | 0.479503i | ||||
\(909\) | 8.59675 | + | 48.7546i | 0.285136 | + | 1.61709i | ||||
\(910\) | −1.92775 | − | 10.9328i | −0.0639042 | − | 0.362418i | ||||
\(911\) | −3.63848 | + | 6.30203i | −0.120548 | + | 0.208796i | −0.919984 | − | 0.391956i | \(-0.871799\pi\) |
0.799436 | + | 0.600752i | \(0.205132\pi\) | |||||||
\(912\) | 0.466790 | + | 0.391684i | 0.0154570 | + | 0.0129699i | ||||
\(913\) | −6.75753 | − | 2.45954i | −0.223642 | − | 0.0813989i | ||||
\(914\) | −10.1717 | − | 17.6179i | −0.336449 | − | 0.582747i | ||||
\(915\) | −6.29595 | + | 10.9049i | −0.208138 | + | 0.360505i | ||||
\(916\) | 1.51827 | − | 1.27398i | 0.0501650 | − | 0.0420934i | ||||
\(917\) | −53.9547 | − | 93.4522i | −1.78174 | − | 3.08606i | ||||
\(918\) | −0.770995 | + | 4.37253i | −0.0254466 | + | 0.144315i | ||||
\(919\) | −41.8315 | −1.37989 | −0.689947 | − | 0.723860i | \(-0.742366\pi\) | ||||
−0.689947 | + | 0.723860i | \(0.742366\pi\) | |||||||
\(920\) | 0.765116 | − | 4.33919i | 0.0252251 | − | 0.143059i | ||||
\(921\) | 53.2425 | + | 44.6758i | 1.75440 | + | 1.47212i | ||||
\(922\) | 31.6111 | − | 11.5055i | 1.04105 | − | 0.378913i | ||||
\(923\) | −36.3526 | − | 13.2313i | −1.19656 | − | 0.435513i | ||||
\(924\) | 11.4377 | 0.376274 | ||||||||
\(925\) | 5.97048 | + | 1.16333i | 0.196308 | + | 0.0382502i | ||||
\(926\) | 1.01863 | 0.0334743 | ||||||||
\(927\) | 26.1783 | + | 9.52814i | 0.859810 | + | 0.312945i | ||||
\(928\) | −2.73255 | + | 0.994568i | −0.0897004 | + | 0.0326483i | ||||
\(929\) | 6.64027 | + | 5.57185i | 0.217860 | + | 0.182806i | 0.745186 | − | 0.666857i | \(-0.232361\pi\) |
−0.527326 | + | 0.849663i | \(0.676805\pi\) | |||||||
\(930\) | −1.20811 | + | 6.85151i | −0.0396153 | + | 0.224670i | ||||
\(931\) | 3.87431 | 0.126975 | ||||||||
\(932\) | 0.244538 | − | 1.38684i | 0.00801010 | − | 0.0454276i | ||||
\(933\) | −8.73007 | − | 15.1209i | −0.285810 | − | 0.495037i | ||||
\(934\) | 7.28605 | − | 6.11372i | 0.238407 | − | 0.200047i | ||||
\(935\) | −2.57341 | + | 4.45729i | −0.0841597 | + | 0.145769i | ||||
\(936\) | 3.84953 | + | 6.66758i | 0.125826 | + | 0.217937i | ||||
\(937\) | 9.64591 | + | 3.51082i | 0.315118 | + | 0.114694i | 0.494737 | − | 0.869043i | \(-0.335264\pi\) |
−0.179619 | + | 0.983736i | \(0.557487\pi\) | |||||||
\(938\) | 8.59824 | + | 7.21478i | 0.280742 | + | 0.235571i | ||||
\(939\) | −13.0238 | + | 22.5578i | −0.425014 | + | 0.736146i | ||||
\(940\) | −1.34694 | − | 7.63890i | −0.0439325 | − | 0.249154i | ||||
\(941\) | −0.665442 | − | 3.77391i | −0.0216928 | − | 0.123026i | 0.972038 | − | 0.234822i | \(-0.0754507\pi\) |
−0.993731 | + | 0.111796i | \(0.964340\pi\) | |||||||
\(942\) | 48.0208 | − | 40.2942i | 1.56460 | − | 1.31286i | ||||
\(943\) | 26.5276 | − | 9.65525i | 0.863857 | − | 0.314418i | ||||
\(944\) | 4.59319 | − | 1.67178i | 0.149496 | − | 0.0544120i | ||||
\(945\) | 3.00535 | − | 2.52179i | 0.0977639 | − | 0.0820337i | ||||
\(946\) | 1.89263 | + | 10.7336i | 0.0615346 | + | 0.348980i | ||||
\(947\) | −6.75358 | − | 38.3015i | −0.219462 | − | 1.24463i | −0.872994 | − | 0.487731i | \(-0.837825\pi\) |
0.653532 | − | 0.756899i | \(-0.273287\pi\) | |||||||
\(948\) | 11.0505 | − | 19.1400i | 0.358902 | − | 0.621637i | ||||
\(949\) | 14.5885 | + | 12.2412i | 0.473562 | + | 0.397366i | ||||
\(950\) | 0.227673 | + | 0.0828663i | 0.00738670 | + | 0.00268854i | ||||
\(951\) | 10.0870 | + | 17.4712i | 0.327093 | + | 0.566542i | ||||
\(952\) | 13.0096 | − | 22.5333i | 0.421643 | − | 0.730308i | ||||
\(953\) | −18.2626 | + | 15.3241i | −0.591582 | + | 0.496396i | −0.888727 | − | 0.458436i | \(-0.848410\pi\) |
0.297145 | + | 0.954832i | \(0.403965\pi\) | |||||||
\(954\) | −7.86710 | − | 13.6262i | −0.254707 | − | 0.441165i | ||||
\(955\) | 0.116957 | − | 0.663295i | 0.00378463 | − | 0.0214637i | ||||
\(956\) | 17.6676 | 0.571412 | ||||||||
\(957\) | −1.20453 | + | 6.83122i | −0.0389369 | + | 0.220822i | ||||
\(958\) | 9.85987 | + | 8.27341i | 0.318558 | + | 0.267302i | ||||
\(959\) | −72.5100 | + | 26.3915i | −2.34147 | + | 0.852225i | ||||
\(960\) | −2.36335 | − | 0.860188i | −0.0762767 | − | 0.0277624i | ||||
\(961\) | −23.3478 | −0.753155 | ||||||||
\(962\) | −8.85797 | − | 10.9488i | −0.285592 | − | 0.353002i | ||||
\(963\) | 44.6347 | 1.43833 | ||||||||
\(964\) | 11.5954 | + | 4.22040i | 0.373464 | + | 0.135930i | ||||
\(965\) | −3.91740 | + | 1.42582i | −0.126106 | + | 0.0458987i | ||||
\(966\) | 40.7032 | + | 34.1541i | 1.30960 | + | 1.09889i | ||||
\(967\) | 3.48678 | − | 19.7745i | 0.112127 | − | 0.635905i | −0.876005 | − | 0.482301i | \(-0.839801\pi\) |
0.988133 | − | 0.153603i | \(-0.0490878\pi\) | |||||||
\(968\) | 10.1004 | 0.324639 | ||||||||
\(969\) | 0.574190 | − | 3.25639i | 0.0184456 | − | 0.104610i | ||||
\(970\) | 1.02899 | + | 1.78227i | 0.0330390 | + | 0.0572252i | ||||
\(971\) | 14.3628 | − | 12.0518i | 0.460924 | − | 0.386761i | −0.382547 | − | 0.923936i | \(-0.624953\pi\) |
0.843471 | + | 0.537175i | \(0.180509\pi\) | |||||||
\(972\) | 11.1845 | − | 19.3721i | 0.358743 | − | 0.621361i | ||||
\(973\) | 25.2105 | + | 43.6659i | 0.808212 | + | 1.39986i | ||||
\(974\) | −15.0085 | − | 5.46264i | −0.480903 | − | 0.175034i | ||||
\(975\) | 4.46066 | + | 3.74293i | 0.142855 | + | 0.119870i | ||||
\(976\) | −2.50334 | + | 4.33591i | −0.0801299 | + | 0.138789i | ||||
\(977\) | 0.145895 | + | 0.827414i | 0.00466761 | + | 0.0264713i | 0.987053 | − | 0.160397i | \(-0.0512774\pi\) |
−0.982385 | + | 0.186868i | \(0.940166\pi\) | |||||||
\(978\) | −9.30962 | − | 52.7975i | −0.297689 | − | 1.68828i | ||||
\(979\) | 4.82316 | − | 4.04711i | 0.154149 | − | 0.129346i | ||||
\(980\) | −15.0264 | + | 5.46915i | −0.480000 | + | 0.174706i | ||||
\(981\) | 55.6465 | − | 20.2537i | 1.77666 | − | 0.646650i | ||||
\(982\) | −4.46105 | + | 3.74327i | −0.142358 | + | 0.119453i | ||||
\(983\) | 5.61265 | + | 31.8309i | 0.179016 | + | 1.01525i | 0.933406 | + | 0.358822i | \(0.116822\pi\) |
−0.754390 | + | 0.656426i | \(0.772067\pi\) | |||||||
\(984\) | −2.79812 | − | 15.8689i | −0.0892009 | − | 0.505883i | ||||
\(985\) | −3.52556 | + | 6.10645i | −0.112334 | + | 0.194568i | ||||
\(986\) | 12.0880 | + | 10.1430i | 0.384960 | + | 0.323020i | ||||
\(987\) | 87.8989 | + | 31.9926i | 2.79785 | + | 1.01833i | ||||
\(988\) | −0.280478 | − | 0.485803i | −0.00892321 | − | 0.0154554i | ||||
\(989\) | −25.3162 | + | 43.8490i | −0.805009 | + | 1.39432i | ||||
\(990\) | −2.41608 | + | 2.02733i | −0.0767880 | + | 0.0644328i | ||||
\(991\) | −12.9817 | − | 22.4850i | −0.412377 | − | 0.714259i | 0.582772 | − | 0.812636i | \(-0.301968\pi\) |
−0.995149 | + | 0.0983772i | \(0.968635\pi\) | |||||||
\(992\) | −0.480356 | + | 2.72424i | −0.0152513 | + | 0.0864946i | ||||
\(993\) | 10.9870 | 0.348662 | ||||||||
\(994\) | −13.9121 | + | 78.8996i | −0.441266 | + | 2.50254i | ||||
\(995\) | −0.392950 | − | 0.329724i | −0.0124574 | − | 0.0104530i | ||||
\(996\) | −17.9187 | + | 6.52188i | −0.567777 | + | 0.206654i | ||||
\(997\) | −31.0094 | − | 11.2865i | −0.982079 | − | 0.357448i | −0.199431 | − | 0.979912i | \(-0.563909\pi\) |
−0.782648 | + | 0.622464i | \(0.786132\pi\) | |||||||
\(998\) | −5.53259 | −0.175131 | ||||||||
\(999\) | 1.78568 | − | 4.64560i | 0.0564964 | − | 0.146980i |
(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 | 370.2.o.c.201.2 | yes | 24 | |
37.7 | even | 9 | inner | 370.2.o.c.81.2 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.c.81.2 | ✓ | 24 | 37.7 | even | 9 | inner | |
370.2.o.c.201.2 | yes | 24 | 1.1 | even | 1 | trivial |