Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,3,Mod(116,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.116");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.f (of order \(18\), degree \(6\), not 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: | \(9.83653754341\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{18})\) |
Coefficient field: | 12.0.7659539263855005696.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2197x^{6} + 4826809 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 299.1 | ||
Root | \(-1.23317 - 3.38811i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.299 |
Dual form | 361.3.f.d.262.1 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{18}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23317 | − | 3.38811i | −0.616586 | − | 1.69405i | −0.715192 | − | 0.698928i | \(-0.753661\pi\) |
0.0986060 | − | 0.995127i | \(-0.468562\pi\) | |||||||
\(3\) | −3.55077 | − | 0.626097i | −1.18359 | − | 0.208699i | −0.452998 | − | 0.891512i | \(-0.649645\pi\) |
−0.730594 | + | 0.682812i | \(0.760757\pi\) | |||||||
\(4\) | −6.89440 | + | 5.78509i | −1.72360 | + | 1.44627i | ||||
\(5\) | 3.06418 | + | 2.57115i | 0.612836 | + | 0.514230i | 0.895542 | − | 0.444976i | \(-0.146788\pi\) |
−0.282707 | + | 0.959206i | \(0.591232\pi\) | |||||||
\(6\) | 2.25743 | + | 12.8025i | 0.376238 | + | 2.13375i | ||||
\(7\) | 2.50000 | + | 4.33013i | 0.357143 | + | 0.618590i | 0.987482 | − | 0.157730i | \(-0.0504176\pi\) |
−0.630339 | + | 0.776320i | \(0.717084\pi\) | |||||||
\(8\) | 15.6125 | + | 9.01388i | 1.95156 | + | 1.12673i | ||||
\(9\) | 3.75877 | + | 1.36808i | 0.417641 | + | 0.152009i | ||||
\(10\) | 4.93268 | − | 13.5524i | 0.493268 | − | 1.35524i | ||||
\(11\) | 5.00000 | − | 8.66025i | 0.454545 | − | 0.787296i | −0.544116 | − | 0.839010i | \(-0.683135\pi\) |
0.998662 | + | 0.0517139i | \(0.0164684\pi\) | |||||||
\(12\) | 28.1025 | − | 16.2250i | 2.34187 | − | 1.35208i | ||||
\(13\) | −3.55077 | + | 0.626097i | −0.273137 | + | 0.0481613i | −0.308539 | − | 0.951212i | \(-0.599840\pi\) |
0.0354021 | + | 0.999373i | \(0.488729\pi\) | |||||||
\(14\) | 11.5880 | − | 13.8101i | 0.827716 | − | 0.986433i | ||||
\(15\) | −9.27041 | − | 11.0481i | −0.618028 | − | 0.736537i | ||||
\(16\) | 5.03580 | − | 28.5594i | 0.314737 | − | 1.78496i | ||||
\(17\) | −14.0954 | + | 5.13030i | −0.829141 | + | 0.301782i | −0.721506 | − | 0.692408i | \(-0.756550\pi\) |
−0.107634 | + | 0.994191i | \(0.534328\pi\) | |||||||
\(18\) | − | 14.4222i | − | 0.801234i | ||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −36.0000 | −1.80000 | ||||||||
\(21\) | −6.16586 | − | 16.9405i | −0.293612 | − | 0.806693i | ||||
\(22\) | −35.5077 | − | 6.26097i | −1.61399 | − | 0.284590i | ||||
\(23\) | 26.8116 | − | 22.4976i | 1.16572 | − | 0.978155i | 0.165752 | − | 0.986167i | \(-0.446995\pi\) |
0.999968 | + | 0.00801243i | \(0.00255046\pi\) | |||||||
\(24\) | −49.7929 | − | 41.7812i | −2.07470 | − | 1.74088i | ||||
\(25\) | −1.56283 | − | 8.86327i | −0.0625133 | − | 0.354531i | ||||
\(26\) | 6.50000 | + | 11.2583i | 0.250000 | + | 0.433013i | ||||
\(27\) | 15.6125 | + | 9.01388i | 0.578241 | + | 0.333847i | ||||
\(28\) | −42.2862 | − | 15.3909i | −1.51022 | − | 0.549675i | ||||
\(29\) | 6.16586 | − | 16.9405i | 0.212616 | − | 0.584157i | −0.786840 | − | 0.617158i | \(-0.788284\pi\) |
0.999455 | + | 0.0330007i | \(0.0105063\pi\) | |||||||
\(30\) | −26.0000 | + | 45.0333i | −0.866667 | + | 1.50111i | ||||
\(31\) | −31.2250 | + | 18.0278i | −1.00726 | + | 0.581541i | −0.910388 | − | 0.413756i | \(-0.864216\pi\) |
−0.0968702 | + | 0.995297i | \(0.530883\pi\) | |||||||
\(32\) | −31.9570 | + | 5.63488i | −0.998655 | + | 0.176090i | ||||
\(33\) | −23.1760 | + | 27.6201i | −0.702304 | + | 0.836973i | ||||
\(34\) | 34.7641 | + | 41.4302i | 1.02247 | + | 1.21853i | ||||
\(35\) | −3.47296 | + | 19.6962i | −0.0992275 | + | 0.562747i | ||||
\(36\) | −33.8289 | + | 12.3127i | −0.939693 | + | 0.342020i | ||||
\(37\) | − | 21.6333i | − | 0.584684i | −0.956314 | − | 0.292342i | \(-0.905565\pi\) | ||
0.956314 | − | 0.292342i | \(-0.0944346\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 13.0000 | 0.333333 | ||||||||
\(40\) | 24.6634 | + | 67.7622i | 0.616586 | + | 1.69405i | ||||
\(41\) | 35.5077 | + | 6.26097i | 0.866043 | + | 0.152707i | 0.588982 | − | 0.808146i | \(-0.299529\pi\) |
0.277060 | + | 0.960853i | \(0.410640\pi\) | |||||||
\(42\) | −49.7929 | + | 41.7812i | −1.18554 | + | 0.994790i | ||||
\(43\) | −15.3209 | − | 12.8558i | −0.356300 | − | 0.298971i | 0.447014 | − | 0.894527i | \(-0.352487\pi\) |
−0.803314 | + | 0.595556i | \(0.796932\pi\) | |||||||
\(44\) | 15.6283 | + | 88.6327i | 0.355189 | + | 2.01438i | ||||
\(45\) | 8.00000 | + | 13.8564i | 0.177778 | + | 0.307920i | ||||
\(46\) | −109.287 | − | 63.0971i | −2.37581 | − | 1.37168i | ||||
\(47\) | −9.39693 | − | 3.42020i | −0.199935 | − | 0.0727702i | 0.240112 | − | 0.970745i | \(-0.422816\pi\) |
−0.440047 | + | 0.897975i | \(0.645038\pi\) | |||||||
\(48\) | −35.7620 | + | 98.2552i | −0.745041 | + | 2.04698i | ||||
\(49\) | 12.0000 | − | 20.7846i | 0.244898 | − | 0.424176i | ||||
\(50\) | −28.1025 | + | 16.2250i | −0.562050 | + | 0.324500i | ||||
\(51\) | 53.2616 | − | 9.39146i | 1.04435 | − | 0.184146i | ||||
\(52\) | 20.8584 | − | 24.8581i | 0.401124 | − | 0.478041i | ||||
\(53\) | −48.6697 | − | 58.0023i | −0.918296 | − | 1.09438i | −0.995250 | − | 0.0973477i | \(-0.968964\pi\) |
0.0769546 | − | 0.997035i | \(-0.475480\pi\) | |||||||
\(54\) | 11.2871 | − | 64.0125i | 0.209021 | − | 1.18542i | ||||
\(55\) | 37.5877 | − | 13.6808i | 0.683413 | − | 0.248742i | ||||
\(56\) | 90.1388i | 1.60962i | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −65.0000 | −1.12069 | ||||||||
\(59\) | −6.16586 | − | 16.9405i | −0.104506 | − | 0.287128i | 0.876408 | − | 0.481569i | \(-0.159933\pi\) |
−0.980914 | + | 0.194441i | \(0.937711\pi\) | |||||||
\(60\) | 127.828 | + | 22.5395i | 2.13046 | + | 0.375658i | ||||
\(61\) | −30.6418 | + | 25.7115i | −0.502324 | + | 0.421500i | −0.858419 | − | 0.512950i | \(-0.828553\pi\) |
0.356094 | + | 0.934450i | \(0.384108\pi\) | |||||||
\(62\) | 99.5858 | + | 83.5624i | 1.60622 | + | 1.34778i | ||||
\(63\) | 3.47296 | + | 19.6962i | 0.0551264 | + | 0.312637i | ||||
\(64\) | 0.500000 | + | 0.866025i | 0.00781250 | + | 0.0135316i | ||||
\(65\) | −12.4900 | − | 7.21110i | −0.192154 | − | 0.110940i | ||||
\(66\) | 122.160 | + | 44.4626i | 1.85091 | + | 0.673676i | ||||
\(67\) | 13.5649 | − | 37.2692i | 0.202461 | − | 0.556257i | −0.796359 | − | 0.604824i | \(-0.793243\pi\) |
0.998820 | + | 0.0485674i | \(0.0154656\pi\) | |||||||
\(68\) | 67.5000 | − | 116.913i | 0.992647 | − | 1.71932i | ||||
\(69\) | −109.287 | + | 63.0971i | −1.58388 | + | 0.914451i | ||||
\(70\) | 71.0155 | − | 12.5219i | 1.01451 | − | 0.178885i | ||||
\(71\) | −69.5281 | + | 82.8604i | −0.979269 | + | 1.16705i | 0.00667590 | + | 0.999978i | \(0.497875\pi\) |
−0.985945 | + | 0.167070i | \(0.946569\pi\) | |||||||
\(72\) | 46.3521 | + | 55.2403i | 0.643779 | + | 0.767226i | ||||
\(73\) | 18.2331 | − | 103.405i | 0.249768 | − | 1.41650i | −0.559386 | − | 0.828907i | \(-0.688963\pi\) |
0.809154 | − | 0.587597i | \(-0.199926\pi\) | |||||||
\(74\) | −73.2960 | + | 26.6776i | −0.990487 | + | 0.360508i | ||||
\(75\) | 32.4500i | 0.432666i | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 50.0000 | 0.649351 | ||||||||
\(78\) | −16.0312 | − | 44.0454i | −0.205529 | − | 0.564685i | ||||
\(79\) | −35.5077 | − | 6.26097i | −0.449465 | − | 0.0792528i | −0.0556662 | − | 0.998449i | \(-0.517728\pi\) |
−0.393799 | + | 0.919197i | \(0.628839\pi\) | |||||||
\(80\) | 88.8612 | − | 74.5634i | 1.11076 | − | 0.932042i | ||||
\(81\) | −77.3705 | − | 64.9215i | −0.955191 | − | 0.801501i | ||||
\(82\) | −22.5743 | − | 128.025i | −0.275296 | − | 1.56128i | ||||
\(83\) | 20.0000 | + | 34.6410i | 0.240964 | + | 0.417362i | 0.960989 | − | 0.276586i | \(-0.0892031\pi\) |
−0.720025 | + | 0.693948i | \(0.755870\pi\) | |||||||
\(84\) | 140.512 | + | 81.1249i | 1.67277 | + | 0.965773i | ||||
\(85\) | −56.3816 | − | 20.5212i | −0.663312 | − | 0.241426i | ||||
\(86\) | −24.6634 | + | 67.7622i | −0.286784 | + | 0.787933i | ||||
\(87\) | −32.5000 | + | 56.2917i | −0.373563 | + | 0.647030i | ||||
\(88\) | 156.125 | − | 90.1388i | 1.77415 | − | 1.02430i | ||||
\(89\) | 0 | 0 | −0.173648 | − | 0.984808i | \(-0.555556\pi\) | ||||
0.173648 | + | 0.984808i | \(0.444444\pi\) | |||||||
\(90\) | 37.0817 | − | 44.1922i | 0.412018 | − | 0.491024i | ||||
\(91\) | −11.5880 | − | 13.8101i | −0.127341 | − | 0.151759i | ||||
\(92\) | −54.6992 | + | 310.214i | −0.594556 | + | 3.37190i | ||||
\(93\) | 122.160 | − | 44.4626i | 1.31355 | − | 0.478093i | ||||
\(94\) | 36.0555i | 0.383569i | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 117.000 | 1.21875 | ||||||||
\(97\) | −41.9278 | − | 115.196i | −0.432246 | − | 1.18758i | −0.944431 | − | 0.328710i | \(-0.893386\pi\) |
0.512185 | − | 0.858875i | \(-0.328836\pi\) | |||||||
\(98\) | −85.2186 | − | 15.0263i | −0.869578 | − | 0.153330i | ||||
\(99\) | 30.6418 | − | 25.7115i | 0.309513 | − | 0.259712i | ||||
\(100\) | 62.0496 | + | 52.0658i | 0.620496 | + | 0.520658i | ||||
\(101\) | −8.68241 | − | 49.2404i | −0.0859644 | − | 0.487529i | −0.997144 | − | 0.0755198i | \(-0.975938\pi\) |
0.911180 | − | 0.412009i | \(-0.135173\pi\) | |||||||
\(102\) | −97.5000 | − | 168.875i | −0.955882 | − | 1.65564i | ||||
\(103\) | −49.9600 | − | 28.8444i | −0.485048 | − | 0.280043i | 0.237470 | − | 0.971395i | \(-0.423682\pi\) |
−0.722518 | + | 0.691352i | \(0.757015\pi\) | |||||||
\(104\) | −61.0800 | − | 22.2313i | −0.587308 | − | 0.213763i | ||||
\(105\) | 24.6634 | − | 67.7622i | 0.234890 | − | 0.645354i | ||||
\(106\) | −136.500 | + | 236.425i | −1.28774 | + | 2.23042i | ||||
\(107\) | 65.5725 | − | 37.8583i | 0.612827 | − | 0.353816i | −0.161244 | − | 0.986915i | \(-0.551551\pi\) |
0.774071 | + | 0.633099i | \(0.218217\pi\) | |||||||
\(108\) | −159.785 | + | 28.1744i | −1.47949 | + | 0.260874i | ||||
\(109\) | 127.468 | − | 151.911i | 1.16943 | − | 1.39368i | 0.266533 | − | 0.963826i | \(-0.414122\pi\) |
0.902900 | − | 0.429850i | \(-0.141434\pi\) | |||||||
\(110\) | −92.7041 | − | 110.481i | −0.842765 | − | 1.00437i | ||||
\(111\) | −13.5446 | + | 76.8150i | −0.122023 | + | 0.692027i | ||||
\(112\) | 136.255 | − | 49.5929i | 1.21657 | − | 0.442794i | ||||
\(113\) | − | 122.589i | − | 1.08486i | −0.840102 | − | 0.542428i | \(-0.817505\pi\) | ||
0.840102 | − | 0.542428i | \(-0.182495\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 140.000 | 1.21739 | ||||||||
\(116\) | 55.4927 | + | 152.465i | 0.478385 | + | 1.31435i | ||||
\(117\) | −14.2031 | − | 2.50439i | −0.121394 | − | 0.0214050i | ||||
\(118\) | −49.7929 | + | 41.7812i | −0.421974 | + | 0.354078i | ||||
\(119\) | −57.4533 | − | 48.2091i | −0.482801 | − | 0.405118i | ||||
\(120\) | −45.1485 | − | 256.050i | −0.376238 | − | 2.13375i | ||||
\(121\) | 10.5000 | + | 18.1865i | 0.0867769 | + | 0.150302i | ||||
\(122\) | 124.900 | + | 72.1110i | 1.02377 | + | 0.591074i | ||||
\(123\) | −122.160 | − | 44.4626i | −0.993171 | − | 0.361485i | ||||
\(124\) | 110.985 | − | 304.930i | 0.895044 | − | 2.45911i | ||||
\(125\) | 68.0000 | − | 117.779i | 0.544000 | − | 0.942236i | ||||
\(126\) | 62.4500 | − | 36.0555i | 0.495635 | − | 0.286155i | ||||
\(127\) | 127.828 | − | 22.5395i | 1.00652 | − | 0.177476i | 0.353997 | − | 0.935246i | \(-0.384822\pi\) |
0.652522 | + | 0.757770i | \(0.273711\pi\) | |||||||
\(128\) | −81.1161 | + | 96.6704i | −0.633720 | + | 0.755238i | ||||
\(129\) | 46.3521 | + | 55.2403i | 0.359318 | + | 0.428219i | ||||
\(130\) | −9.02971 | + | 51.2100i | −0.0694593 | + | 0.393923i | ||||
\(131\) | −105.246 | + | 38.3063i | −0.803401 | + | 0.292414i | −0.710895 | − | 0.703298i | \(-0.751710\pi\) |
−0.0925061 | + | 0.995712i | \(0.529488\pi\) | |||||||
\(132\) | − | 324.500i | − | 2.45833i | ||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −143.000 | −1.06716 | ||||||||
\(135\) | 24.6634 | + | 67.7622i | 0.182692 | + | 0.501942i | ||||
\(136\) | −266.308 | − | 46.9573i | −1.95815 | − | 0.345274i | ||||
\(137\) | 95.7556 | − | 80.3485i | 0.698946 | − | 0.586485i | −0.222528 | − | 0.974926i | \(-0.571431\pi\) |
0.921473 | + | 0.388441i | \(0.126986\pi\) | |||||||
\(138\) | 348.550 | + | 292.468i | 2.52573 | + | 2.11934i | ||||
\(139\) | 8.68241 | + | 49.2404i | 0.0624634 | + | 0.354247i | 0.999980 | + | 0.00630721i | \(0.00200766\pi\) |
−0.937517 | + | 0.347940i | \(0.886881\pi\) | |||||||
\(140\) | −90.0000 | − | 155.885i | −0.642857 | − | 1.11346i | ||||
\(141\) | 31.2250 | + | 18.0278i | 0.221454 | + | 0.127856i | ||||
\(142\) | 366.480 | + | 133.388i | 2.58085 | + | 0.939351i | ||||
\(143\) | −12.3317 | + | 33.8811i | −0.0862357 | + | 0.236931i | ||||
\(144\) | 58.0000 | − | 100.459i | 0.402778 | − | 0.697632i | ||||
\(145\) | 62.4500 | − | 36.0555i | 0.430690 | − | 0.248659i | ||||
\(146\) | −372.831 | + | 65.7402i | −2.55364 | + | 0.450276i | ||||
\(147\) | −55.6225 | + | 66.2883i | −0.378384 | + | 0.450941i | ||||
\(148\) | 125.151 | + | 149.149i | 0.845612 | + | 1.00776i | ||||
\(149\) | 12.1554 | − | 68.9365i | 0.0815797 | − | 0.462661i | −0.916463 | − | 0.400120i | \(-0.868968\pi\) |
0.998042 | − | 0.0625412i | \(-0.0199205\pi\) | |||||||
\(150\) | 109.944 | − | 40.0164i | 0.732960 | − | 0.266776i | ||||
\(151\) | 36.0555i | 0.238778i | 0.992848 | + | 0.119389i | \(0.0380936\pi\) | ||||
−0.992848 | + | 0.119389i | \(0.961906\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −60.0000 | −0.392157 | ||||||||
\(154\) | −61.6586 | − | 169.405i | −0.400380 | − | 1.10004i | ||||
\(155\) | −142.031 | − | 25.0439i | −0.916329 | − | 0.161574i | ||||
\(156\) | −89.6272 | + | 75.2062i | −0.574533 | + | 0.482091i | ||||
\(157\) | 7.66044 | + | 6.42788i | 0.0487926 | + | 0.0409419i | 0.666858 | − | 0.745185i | \(-0.267639\pi\) |
−0.618065 | + | 0.786127i | \(0.712083\pi\) | |||||||
\(158\) | 22.5743 | + | 128.025i | 0.142875 | + | 0.810285i | ||||
\(159\) | 136.500 | + | 236.425i | 0.858491 | + | 1.48695i | ||||
\(160\) | −112.410 | − | 64.8999i | −0.702562 | − | 0.405625i | ||||
\(161\) | 164.446 | + | 59.8535i | 1.02141 | + | 0.371761i | ||||
\(162\) | −124.550 | + | 342.199i | −0.768829 | + | 2.11234i | ||||
\(163\) | 135.000 | − | 233.827i | 0.828221 | − | 1.43452i | −0.0712118 | − | 0.997461i | \(-0.522687\pi\) |
0.899433 | − | 0.437059i | \(-0.143980\pi\) | |||||||
\(164\) | −281.025 | + | 162.250i | −1.71357 | + | 0.989328i | ||||
\(165\) | −142.031 | + | 25.0439i | −0.860794 | + | 0.151781i | ||||
\(166\) | 92.7041 | − | 110.481i | 0.558459 | − | 0.665545i | ||||
\(167\) | 78.7985 | + | 93.9084i | 0.471847 | + | 0.562326i | 0.948505 | − | 0.316763i | \(-0.102596\pi\) |
−0.476657 | + | 0.879089i | \(0.658152\pi\) | |||||||
\(168\) | 56.4357 | − | 320.063i | 0.335927 | − | 1.90513i | ||||
\(169\) | −146.592 | + | 53.3551i | −0.867409 | + | 0.315711i | ||||
\(170\) | 216.333i | 1.27255i | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 180.000 | 1.04651 | ||||||||
\(173\) | 41.9278 | + | 115.196i | 0.242357 | + | 0.665871i | 0.999914 | + | 0.0131021i | \(0.00417065\pi\) |
−0.757557 | + | 0.652769i | \(0.773607\pi\) | |||||||
\(174\) | 230.800 | + | 40.6963i | 1.32644 | + | 0.233887i | ||||
\(175\) | 34.4720 | − | 28.9254i | 0.196983 | − | 0.165288i | ||||
\(176\) | −222.153 | − | 186.408i | −1.26223 | − | 1.05914i | ||||
\(177\) | 11.2871 | + | 64.0125i | 0.0637691 | + | 0.361653i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −31.2250 | − | 18.0278i | −0.174441 | − | 0.100714i | 0.410237 | − | 0.911979i | \(-0.365446\pi\) |
−0.584678 | + | 0.811265i | \(0.698779\pi\) | |||||||
\(180\) | −135.316 | − | 49.2509i | −0.751754 | − | 0.273616i | ||||
\(181\) | 36.9951 | − | 101.643i | 0.204393 | − | 0.561565i | −0.794566 | − | 0.607178i | \(-0.792302\pi\) |
0.998959 | + | 0.0456123i | \(0.0145239\pi\) | |||||||
\(182\) | −32.5000 | + | 56.2917i | −0.178571 | + | 0.309295i | ||||
\(183\) | 124.900 | − | 72.1110i | 0.682513 | − | 0.394049i | ||||
\(184\) | 621.386 | − | 109.567i | 3.37710 | − | 0.595473i | ||||
\(185\) | 55.6225 | − | 66.2883i | 0.300662 | − | 0.358315i | ||||
\(186\) | −301.288 | − | 359.062i | −1.61983 | − | 1.93044i | ||||
\(187\) | −26.0472 | + | 147.721i | −0.139290 | + | 0.789953i | ||||
\(188\) | 84.5723 | − | 30.7818i | 0.449853 | − | 0.163733i | ||||
\(189\) | 90.1388i | 0.476925i | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 193.000 | 1.01047 | 0.505236 | − | 0.862981i | \(-0.331406\pi\) | ||||
0.505236 | + | 0.862981i | \(0.331406\pi\) | |||||||
\(192\) | −1.23317 | − | 3.38811i | −0.00642277 | − | 0.0176464i | ||||
\(193\) | 262.757 | + | 46.3312i | 1.36144 | + | 0.240058i | 0.806204 | − | 0.591637i | \(-0.201518\pi\) |
0.555233 | + | 0.831695i | \(0.312629\pi\) | |||||||
\(194\) | −338.592 | + | 284.112i | −1.74532 | + | 1.46450i | ||||
\(195\) | 39.8343 | + | 33.4250i | 0.204279 | + | 0.171410i | ||||
\(196\) | 37.5080 | + | 212.718i | 0.191367 | + | 1.08530i | ||||
\(197\) | −45.0000 | − | 77.9423i | −0.228426 | − | 0.395646i | 0.728916 | − | 0.684604i | \(-0.240025\pi\) |
−0.957342 | + | 0.288958i | \(0.906691\pi\) | |||||||
\(198\) | −124.900 | − | 72.1110i | −0.630808 | − | 0.364197i | ||||
\(199\) | −115.582 | − | 42.0685i | −0.580815 | − | 0.211399i | 0.0348698 | − | 0.999392i | \(-0.488898\pi\) |
−0.615685 | + | 0.787992i | \(0.711121\pi\) | |||||||
\(200\) | 55.4927 | − | 152.465i | 0.277464 | − | 0.762325i | ||||
\(201\) | −71.5000 | + | 123.842i | −0.355721 | + | 0.616128i | ||||
\(202\) | −156.125 | + | 90.1388i | −0.772896 | + | 0.446232i | ||||
\(203\) | 88.7694 | − | 15.6524i | 0.437288 | − | 0.0771056i | ||||
\(204\) | −312.876 | + | 372.872i | −1.53371 | + | 1.82780i | ||||
\(205\) | 92.7041 | + | 110.481i | 0.452215 | + | 0.538929i | ||||
\(206\) | −36.1188 | + | 204.840i | −0.175334 | + | 0.994369i | ||||
\(207\) | 131.557 | − | 47.8828i | 0.635541 | − | 0.231318i | ||||
\(208\) | 104.561i | 0.502697i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −260.000 | −1.23810 | ||||||||
\(211\) | 80.1561 | + | 220.227i | 0.379887 | + | 1.04373i | 0.971403 | + | 0.237437i | \(0.0763074\pi\) |
−0.591516 | + | 0.806293i | \(0.701470\pi\) | |||||||
\(212\) | 671.096 | + | 118.332i | 3.16555 | + | 0.558172i | ||||
\(213\) | 298.757 | − | 250.687i | 1.40262 | − | 1.17694i | ||||
\(214\) | −209.130 | − | 175.481i | −0.977244 | − | 0.820005i | ||||
\(215\) | −13.8919 | − | 78.7846i | −0.0646133 | − | 0.366440i | ||||
\(216\) | 162.500 | + | 281.458i | 0.752315 | + | 1.30305i | ||||
\(217\) | −156.125 | − | 90.1388i | −0.719470 | − | 0.415386i | ||||
\(218\) | −671.880 | − | 244.544i | −3.08202 | − | 1.12176i | ||||
\(219\) | −129.483 | + | 355.752i | −0.591246 | + | 1.62444i | ||||
\(220\) | −180.000 | + | 311.769i | −0.818182 | + | 1.41713i | ||||
\(221\) | 46.8375 | − | 27.0416i | 0.211934 | − | 0.122360i | ||||
\(222\) | 276.960 | − | 48.8356i | 1.24757 | − | 0.219980i | ||||
\(223\) | 129.786 | − | 154.673i | 0.581999 | − | 0.693600i | −0.392048 | − | 0.919945i | \(-0.628233\pi\) |
0.974047 | + | 0.226345i | \(0.0726777\pi\) | |||||||
\(224\) | −104.292 | − | 124.291i | −0.465590 | − | 0.554869i | ||||
\(225\) | 6.25133 | − | 35.4531i | 0.0277837 | − | 0.157569i | ||||
\(226\) | −415.344 | + | 151.173i | −1.83781 | + | 0.668907i | ||||
\(227\) | 255.994i | 1.12773i | 0.825868 | + | 0.563864i | \(0.190686\pi\) | ||||
−0.825868 | + | 0.563864i | \(0.809314\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −160.000 | −0.698690 | −0.349345 | − | 0.936994i | \(-0.613596\pi\) | ||||
−0.349345 | + | 0.936994i | \(0.613596\pi\) | |||||||
\(230\) | −172.644 | − | 474.335i | −0.750626 | − | 2.06233i | ||||
\(231\) | −177.539 | − | 31.3049i | −0.768566 | − | 0.135519i | ||||
\(232\) | 248.964 | − | 208.906i | 1.07312 | − | 0.900457i | ||||
\(233\) | −206.832 | − | 173.553i | −0.887691 | − | 0.744861i | 0.0800547 | − | 0.996790i | \(-0.474491\pi\) |
−0.967746 | + | 0.251929i | \(0.918935\pi\) | |||||||
\(234\) | 9.02971 | + | 51.2100i | 0.0385885 | + | 0.218846i | ||||
\(235\) | −20.0000 | − | 34.6410i | −0.0851064 | − | 0.147409i | ||||
\(236\) | 140.512 | + | 81.1249i | 0.595392 | + | 0.343750i | ||||
\(237\) | 122.160 | + | 44.4626i | 0.515443 | + | 0.187606i | ||||
\(238\) | −92.4878 | + | 254.108i | −0.388604 | + | 1.06768i | ||||
\(239\) | −98.5000 | + | 170.607i | −0.412134 | + | 0.713837i | −0.995123 | − | 0.0986432i | \(-0.968550\pi\) |
0.582989 | + | 0.812480i | \(0.301883\pi\) | |||||||
\(240\) | −362.210 | + | 209.122i | −1.50921 | + | 0.871342i | ||||
\(241\) | −390.585 | + | 68.8707i | −1.62069 | + | 0.285771i | −0.909021 | − | 0.416749i | \(-0.863169\pi\) |
−0.711664 | + | 0.702520i | \(0.752058\pi\) | |||||||
\(242\) | 48.6697 | − | 58.0023i | 0.201114 | − | 0.239679i | ||||
\(243\) | 129.786 | + | 154.673i | 0.534098 | + | 0.636513i | ||||
\(244\) | 62.5133 | − | 354.531i | 0.256202 | − | 1.45300i | ||||
\(245\) | 90.2105 | − | 32.8339i | 0.368206 | − | 0.134016i | ||||
\(246\) | 468.722i | 1.90537i | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −650.000 | −2.62097 | ||||||||
\(249\) | −49.3268 | − | 135.524i | −0.198100 | − | 0.544275i | ||||
\(250\) | −482.905 | − | 85.1492i | −1.93162 | − | 0.340597i | ||||
\(251\) | −307.950 | + | 258.401i | −1.22689 | + | 1.02948i | −0.228457 | + | 0.973554i | \(0.573368\pi\) |
−0.998435 | + | 0.0559306i | \(0.982187\pi\) | |||||||
\(252\) | −137.888 | − | 115.702i | −0.547175 | − | 0.459134i | ||||
\(253\) | −60.7769 | − | 344.683i | −0.240225 | − | 1.36238i | ||||
\(254\) | −234.000 | − | 405.300i | −0.921260 | − | 1.59567i | ||||
\(255\) | 187.350 | + | 108.167i | 0.734706 | + | 0.424183i | ||||
\(256\) | 431.319 | + | 156.987i | 1.68484 | + | 0.613231i | ||||
\(257\) | −143.048 | + | 393.021i | −0.556606 | + | 1.52926i | 0.267921 | + | 0.963441i | \(0.413664\pi\) |
−0.824527 | + | 0.565823i | \(0.808559\pi\) | |||||||
\(258\) | 130.000 | − | 225.167i | 0.503876 | − | 0.872739i | ||||
\(259\) | 93.6750 | − | 54.0833i | 0.361679 | − | 0.208816i | ||||
\(260\) | 127.828 | − | 22.5395i | 0.491646 | − | 0.0866904i | ||||
\(261\) | 46.3521 | − | 55.2403i | 0.177594 | − | 0.211648i | ||||
\(262\) | 259.572 | + | 309.345i | 0.990731 | + | 1.18071i | ||||
\(263\) | 53.8309 | − | 305.290i | 0.204680 | − | 1.16080i | −0.693262 | − | 0.720686i | \(-0.743827\pi\) |
0.897942 | − | 0.440114i | \(-0.145062\pi\) | |||||||
\(264\) | −610.800 | + | 222.313i | −2.31364 | + | 0.842095i | ||||
\(265\) | − | 302.866i | − | 1.14289i | ||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 122.084 | + | 335.423i | 0.455537 | + | 1.25158i | ||||
\(269\) | 106.523 | + | 18.7829i | 0.395997 | + | 0.0698250i | 0.368101 | − | 0.929786i | \(-0.380008\pi\) |
0.0278963 | + | 0.999611i | \(0.491119\pi\) | |||||||
\(270\) | 199.172 | − | 167.125i | 0.737672 | − | 0.618981i | ||||
\(271\) | 80.4347 | + | 67.4927i | 0.296807 | + | 0.249051i | 0.779014 | − | 0.627007i | \(-0.215720\pi\) |
−0.482207 | + | 0.876057i | \(0.660165\pi\) | |||||||
\(272\) | 75.5370 | + | 428.391i | 0.277709 | + | 1.57497i | ||||
\(273\) | 32.5000 | + | 56.2917i | 0.119048 | + | 0.206197i | ||||
\(274\) | −390.312 | − | 225.347i | −1.42450 | − | 0.822434i | ||||
\(275\) | −84.5723 | − | 30.7818i | −0.307536 | − | 0.111934i | ||||
\(276\) | 388.449 | − | 1067.25i | 1.40742 | − | 3.86686i | ||||
\(277\) | 25.0000 | − | 43.3013i | 0.0902527 | − | 0.156322i | −0.817365 | − | 0.576121i | \(-0.804566\pi\) |
0.907617 | + | 0.419798i | \(0.137899\pi\) | |||||||
\(278\) | 156.125 | − | 90.1388i | 0.561601 | − | 0.324240i | ||||
\(279\) | −142.031 | + | 25.0439i | −0.509072 | + | 0.0897631i | ||||
\(280\) | −231.760 | + | 276.201i | −0.827716 | + | 0.986433i | ||||
\(281\) | −185.408 | − | 220.961i | −0.659816 | − | 0.786338i | 0.327543 | − | 0.944836i | \(-0.393779\pi\) |
−0.987359 | + | 0.158498i | \(0.949335\pi\) | |||||||
\(282\) | 22.5743 | − | 128.025i | 0.0800506 | − | 0.453989i | ||||
\(283\) | 300.702 | − | 109.446i | 1.06255 | − | 0.386737i | 0.249164 | − | 0.968461i | \(-0.419844\pi\) |
0.813386 | + | 0.581725i | \(0.197622\pi\) | |||||||
\(284\) | − | 973.499i | − | 3.42781i | ||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 130.000 | 0.454545 | ||||||||
\(287\) | 61.6586 | + | 169.405i | 0.214838 | + | 0.590263i | ||||
\(288\) | −127.828 | − | 22.5395i | −0.443847 | − | 0.0782622i | ||||
\(289\) | −49.0268 | + | 41.1384i | −0.169643 | + | 0.142347i | ||||
\(290\) | −199.172 | − | 167.125i | −0.686798 | − | 0.576292i | ||||
\(291\) | 76.7525 | + | 435.285i | 0.263754 | + | 1.49582i | ||||
\(292\) | 472.500 | + | 818.394i | 1.61815 | + | 2.80272i | ||||
\(293\) | 190.472 | + | 109.969i | 0.650077 | + | 0.375322i | 0.788486 | − | 0.615053i | \(-0.210866\pi\) |
−0.138409 | + | 0.990375i | \(0.544199\pi\) | |||||||
\(294\) | 293.184 | + | 106.710i | 0.997225 | + | 0.362960i | ||||
\(295\) | 24.6634 | − | 67.7622i | 0.0836048 | − | 0.229702i | ||||
\(296\) | 195.000 | − | 337.750i | 0.658784 | − | 1.14105i | ||||
\(297\) | 156.125 | − | 90.1388i | 0.525673 | − | 0.303498i | ||||
\(298\) | −248.554 | + | 43.8268i | −0.834075 | + | 0.147070i | ||||
\(299\) | −81.1161 | + | 96.6704i | −0.271291 | + | 0.323313i | ||||
\(300\) | −187.726 | − | 223.723i | −0.625753 | − | 0.745743i | ||||
\(301\) | 17.3648 | − | 98.4808i | 0.0576904 | − | 0.327179i | ||||
\(302\) | 122.160 | − | 44.4626i | 0.404503 | − | 0.147227i | ||||
\(303\) | 180.278i | 0.594975i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −160.000 | −0.524590 | ||||||||
\(306\) | 73.9903 | + | 203.287i | 0.241798 | + | 0.664335i | ||||
\(307\) | 234.351 | + | 41.3224i | 0.763359 | + | 0.134601i | 0.541755 | − | 0.840536i | \(-0.317760\pi\) |
0.221603 | + | 0.975137i | \(0.428871\pi\) | |||||||
\(308\) | −344.720 | + | 289.254i | −1.11922 | + | 0.939138i | ||||
\(309\) | 159.337 | + | 133.700i | 0.515655 | + | 0.432686i | ||||
\(310\) | 90.2971 | + | 512.100i | 0.291281 | + | 1.65194i | ||||
\(311\) | −197.500 | − | 342.080i | −0.635048 | − | 1.09994i | −0.986505 | − | 0.163732i | \(-0.947647\pi\) |
0.351457 | − | 0.936204i | \(-0.385686\pi\) | |||||||
\(312\) | 202.962 | + | 117.180i | 0.650521 | + | 0.375578i | ||||
\(313\) | −117.462 | − | 42.7525i | −0.375277 | − | 0.136590i | 0.147494 | − | 0.989063i | \(-0.452879\pi\) |
−0.522771 | + | 0.852473i | \(0.675102\pi\) | |||||||
\(314\) | 12.3317 | − | 33.8811i | 0.0392730 | − | 0.107902i | ||||
\(315\) | −40.0000 | + | 69.2820i | −0.126984 | + | 0.219943i | ||||
\(316\) | 281.025 | − | 162.250i | 0.889319 | − | 0.513449i | ||||
\(317\) | −3.55077 | + | 0.626097i | −0.0112012 | + | 0.00197507i | −0.179246 | − | 0.983804i | \(-0.557366\pi\) |
0.168045 | + | 0.985779i | \(0.446255\pi\) | |||||||
\(318\) | 632.706 | − | 754.029i | 1.98964 | − | 2.37116i | ||||
\(319\) | −115.880 | − | 138.101i | −0.363261 | − | 0.432917i | ||||
\(320\) | −0.694593 | + | 3.93923i | −0.00217060 | + | 0.0123101i | ||||
\(321\) | −256.536 | + | 93.3715i | −0.799178 | + | 0.290877i | ||||
\(322\) | − | 630.971i | − | 1.95954i | ||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | 909.000 | 2.80556 | ||||||||
\(325\) | 11.0985 | + | 30.4930i | 0.0341494 | + | 0.0938246i | ||||
\(326\) | −958.709 | − | 169.046i | −2.94083 | − | 0.518547i | ||||
\(327\) | −547.722 | + | 459.593i | −1.67499 | + | 1.40548i | ||||
\(328\) | 497.929 | + | 417.812i | 1.51808 | + | 1.27382i | ||||
\(329\) | −8.68241 | − | 49.2404i | −0.0263903 | − | 0.149667i | ||||
\(330\) | 260.000 | + | 450.333i | 0.787879 | + | 1.36465i | ||||
\(331\) | 171.737 | + | 99.1527i | 0.518844 | + | 0.299555i | 0.736462 | − | 0.676479i | \(-0.236495\pi\) |
−0.217617 | + | 0.976034i | \(0.569829\pi\) | |||||||
\(332\) | −338.289 | − | 123.127i | −1.01894 | − | 0.370865i | ||||
\(333\) | 29.5961 | − | 81.3146i | 0.0888772 | − | 0.244188i | ||||
\(334\) | 221.000 | − | 382.783i | 0.661677 | − | 1.14606i | ||||
\(335\) | 137.390 | − | 79.3221i | 0.410119 | − | 0.236782i | ||||
\(336\) | −514.862 | + | 90.7841i | −1.53233 | + | 0.270191i | ||||
\(337\) | −37.0817 | + | 44.1922i | −0.110035 | + | 0.131134i | −0.818251 | − | 0.574862i | \(-0.805056\pi\) |
0.708216 | + | 0.705996i | \(0.249500\pi\) | |||||||
\(338\) | 361.546 | + | 430.874i | 1.06966 | + | 1.27478i | ||||
\(339\) | −76.7525 | + | 435.285i | −0.226409 | + | 1.28403i | ||||
\(340\) | 507.434 | − | 184.691i | 1.49245 | − | 0.543208i | ||||
\(341\) | 360.555i | 1.05735i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 365.000 | 1.06414 | ||||||||
\(344\) | −123.317 | − | 338.811i | −0.358480 | − | 0.984916i | ||||
\(345\) | −497.108 | − | 87.6536i | −1.44089 | − | 0.254069i | ||||
\(346\) | 338.592 | − | 284.112i | 0.978589 | − | 0.821133i | ||||
\(347\) | −30.6418 | − | 25.7115i | −0.0883048 | − | 0.0740966i | 0.597567 | − | 0.801819i | \(-0.296134\pi\) |
−0.685871 | + | 0.727723i | \(0.740579\pi\) | |||||||
\(348\) | −101.584 | − | 576.113i | −0.291909 | − | 1.65550i | ||||
\(349\) | −49.0000 | − | 84.8705i | −0.140401 | − | 0.243182i | 0.787247 | − | 0.616638i | \(-0.211506\pi\) |
−0.927648 | + | 0.373456i | \(0.878173\pi\) | |||||||
\(350\) | −140.512 | − | 81.1249i | −0.401464 | − | 0.231785i | ||||
\(351\) | −61.0800 | − | 22.2313i | −0.174017 | − | 0.0633371i | ||||
\(352\) | −110.985 | + | 304.930i | −0.315299 | + | 0.866278i | ||||
\(353\) | 92.5000 | − | 160.215i | 0.262040 | − | 0.453866i | −0.704744 | − | 0.709462i | \(-0.748938\pi\) |
0.966784 | + | 0.255596i | \(0.0822715\pi\) | |||||||
\(354\) | 202.962 | − | 117.180i | 0.573340 | − | 0.331018i | ||||
\(355\) | −426.093 | + | 75.1317i | −1.20026 | + | 0.211639i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 173.820 | + | 207.151i | 0.486892 | + | 0.580255i | ||||
\(358\) | −22.5743 | + | 128.025i | −0.0630566 | + | 0.357612i | ||||
\(359\) | 211.431 | − | 76.9545i | 0.588944 | − | 0.214358i | −0.0303210 | − | 0.999540i | \(-0.509653\pi\) |
0.619265 | + | 0.785182i | \(0.287431\pi\) | |||||||
\(360\) | 288.444i | 0.801234i | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −390.000 | −1.07735 | ||||||||
\(363\) | −25.8966 | − | 71.1503i | −0.0713405 | − | 0.196006i | ||||
\(364\) | 159.785 | + | 28.1744i | 0.438969 | + | 0.0774022i | ||||
\(365\) | 321.739 | − | 269.971i | 0.881476 | − | 0.739646i | ||||
\(366\) | −398.343 | − | 334.250i | −1.08837 | − | 0.913250i | ||||
\(367\) | 8.68241 | + | 49.2404i | 0.0236578 | + | 0.134170i | 0.994349 | − | 0.106160i | \(-0.0338555\pi\) |
−0.970691 | + | 0.240330i | \(0.922744\pi\) | |||||||
\(368\) | −507.500 | − | 879.016i | −1.37908 | − | 2.38863i | ||||
\(369\) | 124.900 | + | 72.1110i | 0.338482 | + | 0.195423i | ||||
\(370\) | −293.184 | − | 106.710i | −0.792389 | − | 0.288406i | ||||
\(371\) | 129.483 | − | 355.752i | 0.349011 | − | 0.958899i | ||||
\(372\) | −585.000 | + | 1013.25i | −1.57258 | + | 2.72379i | ||||
\(373\) | −377.822 | + | 218.136i | −1.01293 | + | 0.584815i | −0.912048 | − | 0.410084i | \(-0.865499\pi\) |
−0.100881 | + | 0.994899i | \(0.532166\pi\) | |||||||
\(374\) | 532.616 | − | 93.9146i | 1.42411 | − | 0.251109i | ||||
\(375\) | −315.194 | + | 375.634i | −0.840518 | + | 1.00169i | ||||
\(376\) | −115.880 | − | 138.101i | −0.308192 | − | 0.367289i | ||||
\(377\) | −11.2871 | + | 64.0125i | −0.0299393 | + | 0.169794i | ||||
\(378\) | 305.400 | − | 111.157i | 0.807937 | − | 0.294065i | ||||
\(379\) | − | 486.749i | − | 1.28430i | −0.766579 | − | 0.642150i | \(-0.778043\pi\) | ||
0.766579 | − | 0.642150i | \(-0.221957\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −468.000 | −1.22835 | ||||||||
\(382\) | −238.002 | − | 653.905i | −0.623042 | − | 1.71179i | ||||
\(383\) | 198.843 | + | 35.0615i | 0.519173 | + | 0.0915443i | 0.427094 | − | 0.904207i | \(-0.359537\pi\) |
0.0920797 | + | 0.995752i | \(0.470649\pi\) | |||||||
\(384\) | 348.550 | − | 292.468i | 0.907683 | − | 0.761636i | ||||
\(385\) | 153.209 | + | 128.558i | 0.397945 | + | 0.333916i | ||||
\(386\) | −167.050 | − | 947.385i | −0.432771 | − | 2.45437i | ||||
\(387\) | −40.0000 | − | 69.2820i | −0.103359 | − | 0.179023i | ||||
\(388\) | 955.485 | + | 551.649i | 2.46259 | + | 1.42178i | ||||
\(389\) | 449.173 | + | 163.486i | 1.15469 | + | 0.420272i | 0.847196 | − | 0.531280i | \(-0.178289\pi\) |
0.307490 | + | 0.951551i | \(0.400511\pi\) | |||||||
\(390\) | 64.1249 | − | 176.182i | 0.164423 | − | 0.451748i | ||||
\(391\) | −262.500 | + | 454.663i | −0.671355 | + | 1.16282i | ||||
\(392\) | 374.700 | − | 216.333i | 0.955867 | − | 0.551870i | ||||
\(393\) | 397.687 | − | 70.1229i | 1.01193 | − | 0.178430i | ||||
\(394\) | −208.584 | + | 248.581i | −0.529402 | + | 0.630917i | ||||
\(395\) | −92.7041 | − | 110.481i | −0.234694 | − | 0.279697i | ||||
\(396\) | −62.5133 | + | 354.531i | −0.157862 | + | 0.895280i | ||||
\(397\) | −704.769 | + | 256.515i | −1.77524 | + | 0.646134i | −0.775344 | + | 0.631539i | \(0.782424\pi\) |
−0.999893 | + | 0.0145952i | \(0.995354\pi\) | |||||||
\(398\) | 443.483i | 1.11428i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −261.000 | −0.652500 | ||||||||
\(401\) | 98.6537 | + | 271.049i | 0.246019 | + | 0.675932i | 0.999823 | + | 0.0188322i | \(0.00599484\pi\) |
−0.753803 | + | 0.657100i | \(0.771783\pi\) | |||||||
\(402\) | 507.761 | + | 89.5319i | 1.26309 | + | 0.222716i | ||||
\(403\) | 99.5858 | − | 83.5624i | 0.247111 | − | 0.207351i | ||||
\(404\) | 344.720 | + | 289.254i | 0.853267 | + | 0.715976i | ||||
\(405\) | −70.1539 | − | 397.862i | −0.173219 | − | 0.982376i | ||||
\(406\) | −162.500 | − | 281.458i | −0.400246 | − | 0.693247i | ||||
\(407\) | −187.350 | − | 108.167i | −0.460319 | − | 0.265765i | ||||
\(408\) | 916.200 | + | 333.470i | 2.24559 | + | 0.817328i | ||||
\(409\) | −12.3317 | + | 33.8811i | −0.0301509 | + | 0.0828389i | −0.953855 | − | 0.300268i | \(-0.902924\pi\) |
0.923704 | + | 0.383107i | \(0.125146\pi\) | |||||||
\(410\) | 260.000 | − | 450.333i | 0.634146 | − | 1.09837i | ||||
\(411\) | −390.312 | + | 225.347i | −0.949665 | + | 0.548289i | ||||
\(412\) | 511.312 | − | 90.1580i | 1.24105 | − | 0.218830i | ||||
\(413\) | 57.9401 | − | 69.0503i | 0.140291 | − | 0.167192i | ||||
\(414\) | −324.465 | − | 386.682i | −0.783731 | − | 0.934014i | ||||
\(415\) | −27.7837 | + | 157.569i | −0.0669487 | + | 0.379685i | ||||
\(416\) | 109.944 | − | 40.0164i | 0.264289 | − | 0.0961932i | ||||
\(417\) | − | 180.278i | − | 0.432320i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 112.000 | 0.267303 | 0.133652 | − | 0.991028i | \(-0.457330\pi\) | ||||
0.133652 | + | 0.991028i | \(0.457330\pi\) | |||||||
\(420\) | 221.971 | + | 609.860i | 0.528502 | + | 1.45205i | ||||
\(421\) | 621.386 | + | 109.567i | 1.47598 | + | 0.260254i | 0.852969 | − | 0.521962i | \(-0.174800\pi\) |
0.623007 | + | 0.782217i | \(0.285911\pi\) | |||||||
\(422\) | 647.308 | − | 543.156i | 1.53390 | − | 1.28710i | ||||
\(423\) | −30.6418 | − | 25.7115i | −0.0724392 | − | 0.0607837i | ||||
\(424\) | −237.030 | − | 1344.26i | −0.559032 | − | 3.17043i | ||||
\(425\) | 67.5000 | + | 116.913i | 0.158824 | + | 0.275090i | ||||
\(426\) | −1217.77 | − | 703.082i | −2.85863 | − | 1.65043i | ||||
\(427\) | −187.939 | − | 68.4040i | −0.440137 | − | 0.160197i | ||||
\(428\) | −233.069 | + | 640.353i | −0.544555 | + | 1.49615i | ||||
\(429\) | 65.0000 | − | 112.583i | 0.151515 | − | 0.262432i | ||||
\(430\) | −249.800 | + | 144.222i | −0.580930 | + | 0.335400i | ||||
\(431\) | 426.093 | − | 75.1317i | 0.988615 | − | 0.174319i | 0.344118 | − | 0.938926i | \(-0.388178\pi\) |
0.644497 | + | 0.764607i | \(0.277067\pi\) | |||||||
\(432\) | 336.053 | − | 400.492i | 0.777899 | − | 0.927064i | ||||
\(433\) | −472.791 | − | 563.451i | −1.09190 | − | 1.30127i | −0.950296 | − | 0.311348i | \(-0.899220\pi\) |
−0.141600 | − | 0.989924i | \(-0.545225\pi\) | |||||||
\(434\) | −112.871 | + | 640.125i | −0.260072 | + | 1.47494i | ||||
\(435\) | −244.320 | + | 88.9252i | −0.561655 | + | 0.204426i | ||||
\(436\) | 1784.75i | 4.09346i | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1365.00 | 3.11644 | ||||||||
\(439\) | −271.298 | − | 745.384i | −0.617990 | − | 1.69791i | −0.711853 | − | 0.702329i | \(-0.752144\pi\) |
0.0938627 | − | 0.995585i | \(-0.470079\pi\) | |||||||
\(440\) | 710.155 | + | 125.219i | 1.61399 | + | 0.284590i | ||||
\(441\) | 73.5403 | − | 61.7076i | 0.166758 | − | 0.139927i | ||||
\(442\) | −149.379 | − | 125.344i | −0.337961 | − | 0.283583i | ||||
\(443\) | 116.344 | + | 659.821i | 0.262628 | + | 1.48944i | 0.775705 | + | 0.631096i | \(0.217394\pi\) |
−0.513077 | + | 0.858343i | \(0.671494\pi\) | |||||||
\(444\) | −351.000 | − | 607.950i | −0.790541 | − | 1.36926i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −684.096 | − | 248.991i | −1.53385 | − | 0.558275i | ||||
\(447\) | −86.3220 | + | 237.168i | −0.193114 | + | 0.530576i | ||||
\(448\) | −2.50000 | + | 4.33013i | −0.00558036 | + | 0.00966546i | ||||
\(449\) | −31.2250 | + | 18.0278i | −0.0695434 | + | 0.0401509i | −0.534369 | − | 0.845252i | \(-0.679451\pi\) |
0.464825 | + | 0.885403i | \(0.346117\pi\) | |||||||
\(450\) | −127.828 | + | 22.5395i | −0.284062 | + | 0.0500878i | ||||
\(451\) | 231.760 | − | 276.201i | 0.513881 | − | 0.612420i | ||||
\(452\) | 709.187 | + | 845.176i | 1.56900 | + | 1.86986i | ||||
\(453\) | 22.5743 | − | 128.025i | 0.0498328 | − | 0.282616i | ||||
\(454\) | 867.336 | − | 315.685i | 1.91043 | − | 0.695341i | ||||
\(455\) | − | 72.1110i | − | 0.158486i | ||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −755.000 | −1.65208 | −0.826039 | − | 0.563612i | \(-0.809411\pi\) | ||||
−0.826039 | + | 0.563612i | \(0.809411\pi\) | |||||||
\(458\) | 197.307 | + | 542.098i | 0.430802 | + | 1.18362i | ||||
\(459\) | −266.308 | − | 46.9573i | −0.580192 | − | 0.102303i | ||||
\(460\) | −965.216 | + | 809.912i | −2.09830 | + | 1.76068i | ||||
\(461\) | 591.386 | + | 496.232i | 1.28283 | + | 1.07643i | 0.992847 | + | 0.119395i | \(0.0380954\pi\) |
0.289987 | + | 0.957031i | \(0.406349\pi\) | |||||||
\(462\) | 112.871 | + | 640.125i | 0.244310 | + | 1.38555i | ||||
\(463\) | 175.000 | + | 303.109i | 0.377970 | + | 0.654663i | 0.990767 | − | 0.135578i | \(-0.0432890\pi\) |
−0.612797 | + | 0.790240i | \(0.709956\pi\) | |||||||
\(464\) | −452.762 | − | 261.402i | −0.975781 | − | 0.563367i | ||||
\(465\) | 488.640 | + | 177.850i | 1.05084 | + | 0.382474i | ||||
\(466\) | −332.956 | + | 914.790i | −0.714498 | + | 1.96307i | ||||
\(467\) | −35.0000 | + | 60.6218i | −0.0749465 | + | 0.129811i | −0.901063 | − | 0.433688i | \(-0.857212\pi\) |
0.826117 | + | 0.563499i | \(0.190545\pi\) | |||||||
\(468\) | 112.410 | − | 64.8999i | 0.240192 | − | 0.138675i | ||||
\(469\) | 195.293 | − | 34.4354i | 0.416402 | − | 0.0734229i | ||||
\(470\) | −92.7041 | + | 110.481i | −0.197243 | + | 0.235065i | ||||
\(471\) | −23.1760 | − | 27.6201i | −0.0492060 | − | 0.0586415i | ||||
\(472\) | 56.4357 | − | 320.063i | 0.119567 | − | 0.678099i | ||||
\(473\) | −187.939 | + | 68.4040i | −0.397333 | + | 0.144617i | ||||
\(474\) | − | 468.722i | − | 0.988864i | ||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 675.000 | 1.41807 | ||||||||
\(477\) | −103.586 | − | 284.601i | −0.217162 | − | 0.596648i | ||||
\(478\) | 699.503 | + | 123.341i | 1.46339 | + | 0.258036i | ||||
\(479\) | −283.436 | + | 237.831i | −0.591725 | + | 0.496517i | −0.888774 | − | 0.458346i | \(-0.848442\pi\) |
0.297049 | + | 0.954862i | \(0.403998\pi\) | |||||||
\(480\) | 358.509 | + | 300.825i | 0.746893 | + | 0.626718i | ||||
\(481\) | 13.5446 | + | 76.8150i | 0.0281592 | + | 0.159699i | ||||
\(482\) | 715.000 | + | 1238.42i | 1.48340 | + | 2.56933i | ||||
\(483\) | −546.437 | − | 315.486i | −1.13134 | − | 0.653180i | ||||
\(484\) | −177.602 | − | 64.6418i | −0.366946 | − | 0.133557i | ||||
\(485\) | 167.711 | − | 460.783i | 0.345796 | − | 0.950068i | ||||
\(486\) | 364.000 | − | 630.466i | 0.748971 | − | 1.29726i | ||||
\(487\) | −449.640 | + | 259.600i | −0.923285 | + | 0.533059i | −0.884682 | − | 0.466196i | \(-0.845624\pi\) |
−0.0386035 | + | 0.999255i | \(0.512291\pi\) | |||||||
\(488\) | −710.155 | + | 125.219i | −1.45524 | + | 0.256597i | ||||
\(489\) | −625.753 | + | 745.743i | −1.27966 | + | 1.52504i | ||||
\(490\) | −222.490 | − | 265.153i | −0.454061 | − | 0.541129i | ||||
\(491\) | −109.746 | + | 622.398i | −0.223515 | + | 1.26761i | 0.641990 | + | 0.766713i | \(0.278109\pi\) |
−0.865505 | + | 0.500901i | \(0.833002\pi\) | |||||||
\(492\) | 1099.44 | − | 400.164i | 2.23463 | − | 0.813341i | ||||
\(493\) | 270.416i | 0.548512i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 160.000 | 0.323232 | ||||||||
\(496\) | 357.620 | + | 982.552i | 0.721007 | + | 1.98095i | ||||
\(497\) | −532.616 | − | 93.9146i | −1.07166 | − | 0.188963i | ||||
\(498\) | −398.343 | + | 334.250i | −0.799886 | + | 0.671184i | ||||
\(499\) | 291.097 | + | 244.259i | 0.583360 | + | 0.489498i | 0.886049 | − | 0.463592i | \(-0.153440\pi\) |
−0.302688 | + | 0.953090i | \(0.597884\pi\) | |||||||
\(500\) | 212.545 | + | 1205.40i | 0.425091 | + | 2.41081i | ||||
\(501\) | −221.000 | − | 382.783i | −0.441118 | − | 0.764038i | ||||
\(502\) | 1255.24 | + | 724.716i | 2.50049 | + | 1.44366i | ||||
\(503\) | 42.2862 | + | 15.3909i | 0.0840679 | + | 0.0305982i | 0.383712 | − | 0.923453i | \(-0.374646\pi\) |
−0.299644 | + | 0.954051i | \(0.596868\pi\) | |||||||
\(504\) | −123.317 | + | 338.811i | −0.244677 | + | 0.672244i | ||||
\(505\) | 100.000 | − | 173.205i | 0.198020 | − | 0.342980i | ||||
\(506\) | −1092.87 | + | 630.971i | −2.15983 | + | 1.24698i | ||||
\(507\) | 553.921 | − | 97.6712i | 1.09255 | − | 0.192645i | ||||
\(508\) | −750.904 | + | 894.892i | −1.47816 | + | 1.76160i | ||||
\(509\) | 533.049 | + | 635.263i | 1.04725 | + | 1.24806i | 0.967932 | + | 0.251211i | \(0.0808288\pi\) |
0.0793149 | + | 0.996850i | \(0.474727\pi\) | |||||||
\(510\) | 135.446 | − | 768.150i | 0.265580 | − | 1.50618i | ||||
\(511\) | 493.339 | − | 179.561i | 0.965438 | − | 0.351391i | ||||
\(512\) | − | 1150.17i | − | 2.24643i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1508.00 | 2.93385 | ||||||||
\(515\) | −78.9230 | − | 216.839i | −0.153248 | − | 0.421047i | ||||
\(516\) | −639.139 | − | 112.698i | −1.23864 | − | 0.218406i | ||||
\(517\) | −76.6044 | + | 64.2788i | −0.148171 | + | 0.124330i | ||||
\(518\) | −298.757 | − | 250.687i | −0.576752 | − | 0.483952i | ||||
\(519\) | −76.7525 | − | 435.285i | −0.147885 | − | 0.838699i | ||||
\(520\) | −130.000 | − | 225.167i | −0.250000 | − | 0.433013i | ||||
\(521\) | −530.825 | − | 306.472i | −1.01886 | − | 0.588238i | −0.105085 | − | 0.994463i | \(-0.533511\pi\) |
−0.913773 | + | 0.406226i | \(0.866845\pi\) | |||||||
\(522\) | −244.320 | − | 88.9252i | −0.468046 | − | 0.170355i | ||||
\(523\) | 159.079 | − | 437.066i | 0.304167 | − | 0.835691i | −0.689598 | − | 0.724192i | \(-0.742213\pi\) |
0.993765 | − | 0.111498i | \(-0.0355650\pi\) | |||||||
\(524\) | 504.000 | − | 872.954i | 0.961832 | − | 1.66594i | ||||
\(525\) | −140.512 | + | 81.1249i | −0.267643 | + | 0.154524i | ||||
\(526\) | −1100.74 | + | 194.090i | −2.09266 | + | 0.368993i | ||||
\(527\) | 347.641 | − | 414.302i | 0.659659 | − | 0.786152i | ||||
\(528\) | 672.105 | + | 800.984i | 1.27293 | + | 1.51701i | ||||
\(529\) | 120.859 | − | 685.426i | 0.228467 | − | 1.29570i | ||||
\(530\) | −1026.14 | + | 373.486i | −1.93612 | + | 0.704691i | ||||
\(531\) | − | 72.1110i | − | 0.135802i | ||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −130.000 | −0.243902 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 298.265 | + | 52.5922i | 0.557505 | + | 0.0983031i | ||||
\(536\) | 547.722 | − | 459.593i | 1.02187 | − | 0.857450i | ||||
\(537\) | 99.5858 | + | 83.5624i | 0.185448 | + | 0.155610i | ||||
\(538\) | −67.7228 | − | 384.075i | −0.125879 | − | 0.713894i | ||||
\(539\) | −120.000 | − | 207.846i | −0.222635 | − | 0.385614i | ||||
\(540\) | −562.050 | − | 324.500i | −1.04083 | − | 0.600925i | ||||
\(541\) | 563.816 | + | 205.212i | 1.04217 | + | 0.379320i | 0.805704 | − | 0.592319i | \(-0.201787\pi\) |
0.236469 | + | 0.971639i | \(0.424010\pi\) | |||||||
\(542\) | 129.483 | − | 355.752i | 0.238898 | − | 0.656368i | ||||
\(543\) | −195.000 | + | 337.750i | −0.359116 | + | 0.622007i | ||||
\(544\) | 421.537 | − | 243.375i | 0.774885 | − | 0.447380i | ||||
\(545\) | 781.170 | − | 137.741i | 1.43334 | − | 0.252737i | ||||
\(546\) | 150.644 | − | 179.531i | 0.275905 | − | 0.328811i | ||||
\(547\) | −384.722 | − | 458.494i | −0.703331 | − | 0.838198i | 0.289568 | − | 0.957158i | \(-0.406488\pi\) |
−0.992899 | + | 0.118960i | \(0.962044\pi\) | |||||||
\(548\) | −195.354 | + | 1107.91i | −0.356486 | + | 2.02173i | ||||
\(549\) | −150.351 | + | 54.7232i | −0.273863 | + | 0.0996780i | ||||
\(550\) | 324.500i | 0.589999i | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2275.00 | −4.12138 | ||||||||
\(553\) | −61.6586 | − | 169.405i | −0.111498 | − | 0.306339i | ||||
\(554\) | −177.539 | − | 31.3049i | −0.320467 | − | 0.0565070i | ||||
\(555\) | −239.006 | + | 200.550i | −0.430641 | + | 0.361351i | ||||
\(556\) | −344.720 | − | 289.254i | −0.620000 | − | 0.520242i | ||||
\(557\) | 65.9863 | + | 374.227i | 0.118467 | + | 0.671862i | 0.984975 | + | 0.172698i | \(0.0552484\pi\) |
−0.866508 | + | 0.499164i | \(0.833641\pi\) | |||||||
\(558\) | 260.000 | + | 450.333i | 0.465950 | + | 0.807049i | ||||
\(559\) | 62.4500 | + | 36.0555i | 0.111717 | + | 0.0645000i | ||||
\(560\) | 545.022 | + | 198.372i | 0.973253 | + | 0.354235i | ||||
\(561\) | 184.976 | − | 508.216i | 0.329725 | − | 0.905912i | ||||
\(562\) | −520.000 | + | 900.666i | −0.925267 | + | 1.60261i | ||||
\(563\) | 106.165 | − | 61.2944i | 0.188570 | − | 0.108871i | −0.402743 | − | 0.915313i | \(-0.631943\pi\) |
0.591313 | + | 0.806442i | \(0.298610\pi\) | |||||||
\(564\) | −319.570 | + | 56.3488i | −0.566613 | + | 0.0999092i | ||||
\(565\) | 315.194 | − | 375.634i | 0.557866 | − | 0.664838i | ||||
\(566\) | −741.633 | − | 883.844i | −1.31031 | − | 1.56156i | ||||
\(567\) | 87.6923 | − | 497.328i | 0.154660 | − | 0.877122i | ||||
\(568\) | −1832.40 | + | 666.939i | −3.22606 | + | 1.17419i | ||||
\(569\) | 36.0555i | 0.0633665i | 0.999498 | + | 0.0316832i | \(0.0100868\pi\) | ||||
−0.999498 | + | 0.0316832i | \(0.989913\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −790.000 | −1.38354 | −0.691769 | − | 0.722119i | \(-0.743168\pi\) | ||||
−0.691769 | + | 0.722119i | \(0.743168\pi\) | |||||||
\(572\) | −110.985 | − | 304.930i | −0.194030 | − | 0.533094i | ||||
\(573\) | −685.300 | − | 120.837i | −1.19599 | − | 0.210884i | ||||
\(574\) | 497.929 | − | 417.812i | 0.867472 | − | 0.727895i | ||||
\(575\) | −241.304 | − | 202.478i | −0.419659 | − | 0.352136i | ||||
\(576\) | 0.694593 | + | 3.93923i | 0.00120589 | + | 0.00683894i | ||||
\(577\) | −337.500 | − | 584.567i | −0.584922 | − | 1.01311i | −0.994885 | − | 0.101013i | \(-0.967792\pi\) |
0.409963 | − | 0.912102i | \(-0.365542\pi\) | |||||||
\(578\) | 199.840 | + | 115.378i | 0.345744 | + | 0.199615i | ||||
\(579\) | −903.984 | − | 329.023i | −1.56129 | − | 0.568261i | ||||
\(580\) | −221.971 | + | 609.860i | −0.382708 | + | 1.05148i | ||||
\(581\) | −100.000 | + | 173.205i | −0.172117 | + | 0.298115i | ||||
\(582\) | 1380.14 | − | 796.827i | 2.37138 | − | 1.36912i | ||||
\(583\) | −745.663 | + | 131.480i | −1.27901 | + | 0.225524i | ||||
\(584\) | 1216.74 | − | 1450.06i | 2.08346 | − | 2.48297i | ||||
\(585\) | −37.0817 | − | 44.1922i | −0.0633875 | − | 0.0755422i | ||||
\(586\) | 137.703 | − | 780.953i | 0.234988 | − | 1.33268i | ||||
\(587\) | 263.114 | − | 95.7656i | 0.448235 | − | 0.163144i | −0.108033 | − | 0.994147i | \(-0.534455\pi\) |
0.556268 | + | 0.831003i | \(0.312233\pi\) | |||||||
\(588\) | − | 778.799i | − | 1.32449i | ||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −260.000 | −0.440678 | ||||||||
\(591\) | 110.985 | + | 304.930i | 0.187793 | + | 0.515956i | ||||
\(592\) | −617.835 | − | 108.941i | −1.04364 | − | 0.184022i | ||||
\(593\) | 574.533 | − | 482.091i | 0.968859 | − | 0.812969i | −0.0135125 | − | 0.999909i | \(-0.504301\pi\) |
0.982371 | + | 0.186940i | \(0.0598569\pi\) | |||||||
\(594\) | −497.929 | − | 417.812i | −0.838264 | − | 0.703387i | ||||
\(595\) | −52.0945 | − | 295.442i | −0.0875537 | − | 0.496542i | ||||
\(596\) | 315.000 | + | 545.596i | 0.528523 | + | 0.915430i | ||||
\(597\) | 384.067 | + | 221.741i | 0.643329 | + | 0.371426i | ||||
\(598\) | 427.560 | + | 155.619i | 0.714984 | + | 0.260233i | ||||
\(599\) | 172.644 | − | 474.335i | 0.288220 | − | 0.791879i | −0.708095 | − | 0.706117i | \(-0.750445\pi\) |
0.996316 | − | 0.0857620i | \(-0.0273325\pi\) | |||||||
\(600\) | −292.500 | + | 506.625i | −0.487500 | + | 0.844375i | ||||
\(601\) | 530.825 | − | 306.472i | 0.883236 | − | 0.509937i | 0.0115120 | − | 0.999934i | \(-0.496336\pi\) |
0.871724 | + | 0.489997i | \(0.163002\pi\) | |||||||
\(602\) | −355.077 | + | 62.6097i | −0.589830 | + | 0.104003i | ||||
\(603\) | 101.975 | − | 121.529i | 0.169112 | − | 0.201540i | ||||
\(604\) | −208.584 | − | 248.581i | −0.345338 | − | 0.411558i | ||||
\(605\) | −14.5864 | + | 82.7239i | −0.0241098 | + | 0.136734i | ||||
\(606\) | 610.800 | − | 222.313i | 1.00792 | − | 0.366853i | ||||
\(607\) | − | 987.921i | − | 1.62755i | −0.581182 | − | 0.813774i | \(-0.697410\pi\) | ||
0.581182 | − | 0.813774i | \(-0.302590\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −325.000 | −0.533662 | ||||||||
\(610\) | 197.307 | + | 542.098i | 0.323455 | + | 0.888685i | ||||
\(611\) | 35.5077 | + | 6.26097i | 0.0581142 | + | 0.0102471i | ||||
\(612\) | 413.664 | − | 347.105i | 0.675922 | − | 0.567166i | ||||
\(613\) | −919.253 | − | 771.345i | −1.49960 | − | 1.25831i | −0.881476 | − | 0.472230i | \(-0.843449\pi\) |
−0.618122 | − | 0.786082i | \(-0.712106\pi\) | |||||||
\(614\) | −148.990 | − | 844.965i | −0.242655 | − | 1.37616i | ||||
\(615\) | −260.000 | − | 450.333i | −0.422764 | − | 0.732249i | ||||
\(616\) | 780.625 | + | 450.694i | 1.26725 | + | 0.731646i | ||||
\(617\) | 328.892 | + | 119.707i | 0.533051 | + | 0.194015i | 0.594500 | − | 0.804096i | \(-0.297350\pi\) |
−0.0614492 | + | 0.998110i | \(0.519572\pi\) | |||||||
\(618\) | 256.500 | − | 704.727i | 0.415048 | − | 1.14033i | ||||
\(619\) | −280.000 | + | 484.974i | −0.452342 | + | 0.783480i | −0.998531 | − | 0.0541821i | \(-0.982745\pi\) |
0.546189 | + | 0.837662i | \(0.316078\pi\) | |||||||
\(620\) | 1124.10 | − | 648.999i | 1.81306 | − | 1.04677i | ||||
\(621\) | 621.386 | − | 109.567i | 1.00062 | − | 0.176436i | ||||
\(622\) | −915.453 | + | 1090.99i | −1.47179 | + | 1.75401i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 65.4654 | − | 371.273i | 0.104912 | − | 0.594988i | ||||
\(625\) | 299.762 | − | 109.104i | 0.479619 | − | 0.174567i | ||||
\(626\) | 450.694i | 0.719958i | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −90.0000 | −0.143312 | ||||||||
\(629\) | 110.985 | + | 304.930i | 0.176447 | + | 0.484785i | ||||
\(630\) | 284.062 | + | 50.0878i | 0.450892 | + | 0.0795044i | ||||
\(631\) | −804.347 | + | 674.927i | −1.27472 | + | 1.06961i | −0.280768 | + | 0.959776i | \(0.590589\pi\) |
−0.993949 | + | 0.109839i | \(0.964966\pi\) | |||||||
\(632\) | −497.929 | − | 417.812i | −0.787862 | − | 0.661095i | ||||
\(633\) | −146.733 | − | 832.163i | −0.231805 | − | 1.31463i | ||||
\(634\) | 6.50000 | + | 11.2583i | 0.0102524 | + | 0.0177576i | ||||
\(635\) | 449.640 | + | 259.600i | 0.708094 | + | 0.408818i | ||||
\(636\) | −2308.82 | − | 840.343i | −3.63023 | − | 1.32129i | ||||
\(637\) | −29.5961 | + | 81.3146i | −0.0464617 | + | 0.127652i | ||||
\(638\) | −325.000 | + | 562.917i | −0.509404 | + | 0.882314i | ||||
\(639\) | −374.700 | + | 216.333i | −0.586385 | + | 0.338549i | ||||
\(640\) | −497.108 | + | 87.6536i | −0.776732 | + | 0.136959i | ||||
\(641\) | −787.985 | + | 939.084i | −1.22931 | + | 1.46503i | −0.390497 | + | 0.920604i | \(0.627697\pi\) |
−0.838809 | + | 0.544426i | \(0.816748\pi\) | |||||||
\(642\) | 632.706 | + | 754.029i | 0.985523 | + | 1.17450i | ||||
\(643\) | −178.858 | + | 1014.35i | −0.278161 | + | 1.57753i | 0.450577 | + | 0.892738i | \(0.351218\pi\) |
−0.728738 | + | 0.684793i | \(0.759893\pi\) | |||||||
\(644\) | −1480.02 | + | 538.682i | −2.29816 | + | 0.836462i | ||||
\(645\) | 288.444i | 0.447200i | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 555.000 | 0.857805 | 0.428903 | − | 0.903351i | \(-0.358900\pi\) | ||||
0.428903 | + | 0.903351i | \(0.358900\pi\) | |||||||
\(648\) | −622.751 | − | 1711.00i | −0.961036 | − | 2.64043i | ||||
\(649\) | −177.539 | − | 31.3049i | −0.273557 | − | 0.0482355i | ||||
\(650\) | 89.6272 | − | 75.2062i | 0.137888 | − | 0.115702i | ||||
\(651\) | 497.929 | + | 417.812i | 0.764868 | + | 0.641800i | ||||
\(652\) | 421.965 | + | 2393.08i | 0.647186 | + | 3.67037i | ||||
\(653\) | −25.0000 | − | 43.3013i | −0.0382848 | − | 0.0663113i | 0.846248 | − | 0.532789i | \(-0.178856\pi\) |
−0.884533 | + | 0.466478i | \(0.845523\pi\) | |||||||
\(654\) | 2232.59 | + | 1288.98i | 3.41374 | + | 1.97092i | ||||
\(655\) | −420.982 | − | 153.225i | −0.642721 | − | 0.233931i | ||||
\(656\) | 357.620 | − | 982.552i | 0.545152 | − | 1.49779i | ||||
\(657\) | 210.000 | − | 363.731i | 0.319635 | − | 0.553624i | ||||
\(658\) | −156.125 | + | 90.1388i | −0.237272 | + | 0.136989i | ||||
\(659\) | −195.293 | + | 34.4354i | −0.296347 | + | 0.0522540i | −0.319845 | − | 0.947470i | \(-0.603631\pi\) |
0.0234979 | + | 0.999724i | \(0.492520\pi\) | |||||||
\(660\) | 834.337 | − | 994.325i | 1.26415 | − | 1.50655i | ||||
\(661\) | 127.468 | + | 151.911i | 0.192841 | + | 0.229819i | 0.853798 | − | 0.520605i | \(-0.174294\pi\) |
−0.660956 | + | 0.750424i | \(0.729849\pi\) | |||||||
\(662\) | 124.158 | − | 704.138i | 0.187551 | − | 1.06365i | ||||
\(663\) | −183.240 | + | 66.6939i | −0.276380 | + | 0.100594i | ||||
\(664\) | 721.110i | 1.08601i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −312.000 | −0.468468 | ||||||||
\(667\) | −215.805 | − | 592.919i | −0.323546 | − | 0.888934i | ||||
\(668\) | −1086.54 | − | 191.586i | −1.62655 | − | 0.286805i | ||||
\(669\) | −557.680 | + | 467.949i | −0.833603 | + | 0.699476i | ||||
\(670\) | −438.177 | − | 367.675i | −0.653996 | − | 0.548768i | ||||
\(671\) | 69.4593 | + | 393.923i | 0.103516 | + | 0.587069i | ||||
\(672\) | 292.500 | + | 506.625i | 0.435268 | + | 0.753906i | ||||
\(673\) | −518.335 | − | 299.261i | −0.770185 | − | 0.444667i | 0.0627553 | − | 0.998029i | \(-0.480011\pi\) |
−0.832941 | + | 0.553362i | \(0.813345\pi\) | |||||||
\(674\) | 195.456 | + | 71.1402i | 0.289994 | + | 0.105549i | ||||
\(675\) | 55.4927 | − | 152.465i | 0.0822114 | − | 0.225874i | ||||
\(676\) | 702.000 | − | 1215.90i | 1.03846 | − | 1.79867i | ||||
\(677\) | 59.3275 | − | 34.2527i | 0.0876329 | − | 0.0505949i | −0.455543 | − | 0.890214i | \(-0.650555\pi\) |
0.543176 | + | 0.839619i | \(0.317222\pi\) | |||||||
\(678\) | 1569.44 | − | 276.735i | 2.31481 | − | 0.408164i | ||||
\(679\) | 393.993 | − | 469.542i | 0.580254 | − | 0.691520i | ||||
\(680\) | −695.281 | − | 828.604i | −1.02247 | − | 1.21853i | ||||
\(681\) | 160.277 | − | 908.978i | 0.235356 | − | 1.33477i | ||||
\(682\) | 1221.60 | − | 444.626i | 1.79120 | − | 0.651945i | ||||
\(683\) | − | 237.966i | − | 0.348413i | −0.984709 | − | 0.174207i | \(-0.944264\pi\) | ||
0.984709 | − | 0.174207i | \(-0.0557361\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 500.000 | 0.729927 | ||||||||
\(686\) | −450.107 | − | 1236.66i | −0.656133 | − | 1.80271i | ||||
\(687\) | 568.124 | + | 100.176i | 0.826964 | + | 0.145816i | ||||
\(688\) | −444.306 | + | 372.817i | −0.645793 | + | 0.541885i | ||||
\(689\) | 209.130 | + | 175.481i | 0.303527 | + | 0.254689i | ||||
\(690\) | 316.040 | + | 1792.35i | 0.458029 | + | 2.59761i | ||||
\(691\) | 410.000 | + | 710.141i | 0.593343 | + | 1.02770i | 0.993778 | + | 0.111375i | \(0.0355255\pi\) |
−0.400435 | + | 0.916325i | \(0.631141\pi\) | |||||||
\(692\) | −955.485 | − | 551.649i | −1.38076 | − | 0.797181i | ||||
\(693\) | 187.939 | + | 68.4040i | 0.271196 | + | 0.0987071i | ||||
\(694\) | −49.3268 | + | 135.524i | −0.0710761 | + | 0.195280i | ||||
\(695\) | −100.000 | + | 173.205i | −0.143885 | + | 0.249216i | ||||
\(696\) | −1014.81 | + | 585.902i | −1.45806 | + | 0.841813i | ||||
\(697\) | −532.616 | + | 93.9146i | −0.764155 | + | 0.134741i | ||||
\(698\) | −227.125 | + | 270.677i | −0.325394 | + | 0.387790i | ||||
\(699\) | 625.753 | + | 745.743i | 0.895212 | + | 1.06687i | ||||
\(700\) | −70.3275 | + | 398.847i | −0.100468 | + | 0.569782i | ||||
\(701\) | 507.434 | − | 184.691i | 0.723872 | − | 0.263468i | 0.0463032 | − | 0.998927i | \(-0.485256\pi\) |
0.677568 | + | 0.735460i | \(0.263034\pi\) | |||||||
\(702\) | 234.361i | 0.333847i | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 10.0000 | 0.0142045 | ||||||||
\(705\) | 49.3268 | + | 135.524i | 0.0699672 | + | 0.192233i | ||||
\(706\) | −656.893 | − | 115.828i | −0.930444 | − | 0.164062i | ||||
\(707\) | 191.511 | − | 160.697i | 0.270879 | − | 0.227294i | ||||
\(708\) | −448.136 | − | 376.031i | −0.632960 | − | 0.531117i | ||||
\(709\) | 46.5377 | + | 263.928i | 0.0656385 | + | 0.372255i | 0.999878 | + | 0.0156087i | \(0.00496860\pi\) |
−0.934240 | + | 0.356646i | \(0.883920\pi\) | |||||||
\(710\) | 780.000 | + | 1351.00i | 1.09859 | + | 1.90282i | ||||
\(711\) | −124.900 | − | 72.1110i | −0.175668 | − | 0.101422i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −431.610 | + | 1185.84i | −0.605343 | + | 1.66317i | ||||
\(714\) | 487.500 | − | 844.375i | 0.682773 | − | 1.18260i | ||||
\(715\) | −124.900 | + | 72.1110i | −0.174685 | + | 0.100855i | ||||
\(716\) | 319.570 | − | 56.3488i | 0.446326 | − | 0.0786994i | ||||
\(717\) | 456.568 | − | 544.116i | 0.636775 | − | 0.758879i | ||||
\(718\) | −521.461 | − | 621.453i | −0.726269 | − | 0.865533i | ||||
\(719\) | 18.2331 | − | 103.405i | 0.0253589 | − | 0.143818i | −0.969499 | − | 0.245093i | \(-0.921181\pi\) |
0.994858 | + | 0.101276i | \(0.0322925\pi\) | |||||||
\(720\) | 436.017 | − | 158.697i | 0.605580 | − | 0.220413i | ||||
\(721\) | − | 288.444i | − | 0.400061i | ||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 1430.00 | 1.97787 | ||||||||
\(724\) | 332.956 | + | 914.790i | 0.459884 | + | 1.26352i | ||||
\(725\) | −159.785 | − | 28.1744i | −0.220393 | − | 0.0388612i | ||||
\(726\) | −209.130 | + | 175.481i | −0.288058 | + | 0.241709i | ||||
\(727\) | 532.401 | + | 446.737i | 0.732326 | + | 0.614494i | 0.930765 | − | 0.365619i | \(-0.119143\pi\) |
−0.198439 | + | 0.980113i | \(0.563587\pi\) | |||||||
\(728\) | −56.4357 | − | 320.063i | −0.0775215 | − | 0.439646i | ||||
\(729\) | 90.5000 | + | 156.751i | 0.124143 | + | 0.215021i | ||||
\(730\) | −1311.45 | − | 757.166i | −1.79651 | − | 1.03721i | ||||
\(731\) | 281.908 | + | 102.606i | 0.385647 | + | 0.140364i | ||||
\(732\) | −443.942 | + | 1219.72i | −0.606478 | + | 1.66628i | ||||
\(733\) | −80.0000 | + | 138.564i | −0.109141 | + | 0.189037i | −0.915422 | − | 0.402495i | \(-0.868143\pi\) |
0.806282 | + | 0.591532i | \(0.201477\pi\) | |||||||
\(734\) | 156.125 | − | 90.1388i | 0.212704 | − | 0.122805i | ||||
\(735\) | −340.874 | + | 60.1054i | −0.463775 | + | 0.0817760i | ||||
\(736\) | −730.045 | + | 870.034i | −0.991909 | + | 1.18211i | ||||
\(737\) | −254.936 | − | 303.821i | −0.345911 | − | 0.412241i | ||||
\(738\) | 90.2971 | − | 512.100i | 0.122354 | − | 0.693902i | ||||
\(739\) | −966.004 | + | 351.597i | −1.30718 | + | 0.475774i | −0.899328 | − | 0.437275i | \(-0.855943\pi\) |
−0.407850 | + | 0.913049i | \(0.633721\pi\) | |||||||
\(740\) | 778.799i | 1.05243i | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1365.00 | −1.83962 | ||||||||
\(743\) | 180.043 | + | 494.664i | 0.242319 | + | 0.665766i | 0.999915 | + | 0.0130421i | \(0.00415155\pi\) |
−0.757596 | + | 0.652724i | \(0.773626\pi\) | |||||||
\(744\) | 2308.00 | + | 406.963i | 3.10216 | + | 0.546994i | ||||
\(745\) | 214.492 | − | 179.981i | 0.287909 | − | 0.241585i | ||||
\(746\) | 1204.99 | + | 1011.10i | 1.61527 | + | 1.35537i | ||||
\(747\) | 27.7837 | + | 157.569i | 0.0371937 | + | 0.210936i | ||||
\(748\) | −675.000 | − | 1169.13i | −0.902406 | − | 1.56301i | ||||
\(749\) | 327.862 | + | 189.291i | 0.437734 | + | 0.252726i | ||||
\(750\) | 1661.38 | + | 604.692i | 2.21517 | + | 0.806255i | ||||
\(751\) | 12.3317 | − | 33.8811i | 0.0164204 | − | 0.0451146i | −0.931212 | − | 0.364479i | \(-0.881247\pi\) |
0.947632 | + | 0.319364i | \(0.103469\pi\) | |||||||
\(752\) | −145.000 | + | 251.147i | −0.192819 | + | 0.333973i | ||||
\(753\) | 1255.24 | − | 724.716i | 1.66699 | − | 0.962438i | ||||
\(754\) | 230.800 | − | 40.6963i | 0.306101 | − | 0.0539739i | ||||
\(755\) | −92.7041 | + | 110.481i | −0.122787 | + | 0.146332i | ||||
\(756\) | −521.461 | − | 621.453i | −0.689763 | − | 0.822028i | ||||
\(757\) | 10.4189 | − | 59.0885i | 0.0137634 | − | 0.0780561i | −0.977152 | − | 0.212540i | \(-0.931826\pi\) |
0.990916 | + | 0.134484i | \(0.0429376\pi\) | |||||||
\(758\) | −1649.16 | + | 600.245i | −2.17567 | + | 0.791880i | ||||
\(759\) | 1261.94i | 1.66264i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −655.000 | −0.860710 | −0.430355 | − | 0.902660i | \(-0.641612\pi\) | ||||
−0.430355 | + | 0.902660i | \(0.641612\pi\) | |||||||
\(762\) | 577.124 | + | 1585.64i | 0.757381 | + | 2.08089i | ||||
\(763\) | 976.463 | + | 172.177i | 1.27977 | + | 0.225658i | ||||
\(764\) | −1330.62 | + | 1116.52i | −1.74165 | + | 1.46142i | ||||
\(765\) | −183.851 | − | 154.269i | −0.240328 | − | 0.201659i | ||||
\(766\) | −126.416 | − | 716.940i | −0.165034 | − | 0.935953i | ||||
\(767\) | 32.5000 | + | 56.2917i | 0.0423729 | + | 0.0733920i | ||||
\(768\) | −1433.23 | − | 827.474i | −1.86618 | − | 1.07744i | ||||
\(769\) | 173.843 | + | 63.2737i | 0.226064 | + | 0.0822805i | 0.452569 | − | 0.891730i | \(-0.350508\pi\) |
−0.226505 | + | 0.974010i | \(0.572730\pi\) | |||||||
\(770\) | 246.634 | − | 677.622i | 0.320304 | − | 0.880029i | ||||
\(771\) | 754.000 | − | 1305.97i | 0.977951 | − | 1.69386i | ||||
\(772\) | −2079.58 | + | 1200.65i | −2.69376 | + | 1.55524i | ||||
\(773\) | 316.019 | − | 55.7227i | 0.408821 | − | 0.0720862i | 0.0345443 | − | 0.999403i | \(-0.489002\pi\) |
0.374277 | + | 0.927317i | \(0.377891\pi\) | |||||||
\(774\) | −185.408 | + | 220.961i | −0.239546 | + | 0.285479i | ||||
\(775\) | 208.584 | + | 248.581i | 0.269141 | + | 0.320750i | ||||
\(776\) | 383.762 | − | 2176.43i | 0.494539 | − | 2.80467i | ||||
\(777\) | −366.480 | + | 133.388i | −0.471660 | + | 0.171670i | ||||
\(778\) | − | 1723.45i | − | 2.21524i | ||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −468.000 | −0.600000 | ||||||||
\(781\) | 369.951 | + | 1016.43i | 0.473689 | + | 1.30145i | ||||
\(782\) | 1864.16 | + | 328.701i | 2.38383 | + | 0.420334i | ||||
\(783\) | 248.964 | − | 208.906i | 0.317962 | − | 0.266802i | ||||
\(784\) | −533.167 | − | 447.380i | −0.680060 | − | 0.570638i | ||||
\(785\) | 6.94593 | + | 39.3923i | 0.00884831 | + | 0.0501813i | ||||
\(786\) | −728.000 | − | 1260.93i | −0.926209 | − | 1.60424i | ||||
\(787\) | −59.3275 | − | 34.2527i | −0.0753843 | − | 0.0435232i | 0.461834 | − | 0.886966i | \(-0.347192\pi\) |
−0.537218 | + | 0.843443i | \(0.680525\pi\) | |||||||
\(788\) | 761.151 | + | 277.036i | 0.965928 | + | 0.351569i | ||||
\(789\) | −382.283 | + | 1050.31i | −0.484516 | + | 1.33120i | ||||
\(790\) | −260.000 | + | 450.333i | −0.329114 | + | 0.570042i | ||||
\(791\) | 530.825 | − | 306.472i | 0.671081 | − | 0.387449i | ||||
\(792\) | 710.155 | − | 125.219i | 0.896660 | − | 0.158105i | ||||
\(793\) | 92.7041 | − | 110.481i | 0.116903 | − | 0.139320i | ||||
\(794\) | 1738.20 | + | 2071.51i | 2.18917 | + | 2.60895i | ||||
\(795\) | −189.624 | + | 1075.41i | −0.238521 | + | 1.35272i | ||||
\(796\) | 1040.24 | − | 378.616i | 1.30683 | − | 0.475649i | ||||
\(797\) | 1258.34i | 1.57884i | 0.613852 | + | 0.789421i | \(0.289619\pi\) | ||||
−0.613852 | + | 0.789421i | \(0.710381\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 150.000 | 0.187735 | ||||||||
\(800\) | 99.8869 | + | 274.437i | 0.124859 | + | 0.343046i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 796.686 | − | 668.499i | 0.993374 | − | 0.833540i | ||||
\(803\) | −804.347 | − | 674.927i | −1.00168 | − | 0.840507i | ||||
\(804\) | −223.485 | − | 1267.45i | −0.277967 | − | 1.57643i | ||||
\(805\) | 350.000 | + | 606.218i | 0.434783 | + | 0.753066i | ||||
\(806\) | −405.925 | − | 234.361i | −0.503629 | − | 0.290770i | ||||
\(807\) | −366.480 | − | 133.388i | −0.454127 | − | 0.165289i | ||||
\(808\) | 308.293 | − | 847.027i | 0.381550 | − | 1.04830i | ||||
\(809\) | 3.50000 | − | 6.06218i | 0.00432633 | − | 0.00749342i | −0.863854 | − | 0.503742i | \(-0.831956\pi\) |
0.868180 | + | 0.496249i | \(0.165290\pi\) | |||||||
\(810\) | −1261.49 | + | 728.321i | −1.55739 | + | 0.899162i | ||||
\(811\) | −1011.97 | + | 178.438i | −1.24781 | + | 0.220022i | −0.758258 | − | 0.651954i | \(-0.773949\pi\) |
−0.489548 | + | 0.871976i | \(0.662838\pi\) | |||||||
\(812\) | −521.461 | + | 621.453i | −0.642193 | + | 0.765336i | ||||
\(813\) | −243.348 | − | 290.011i | −0.299322 | − | 0.356717i | ||||
\(814\) | −135.446 | + | 768.150i | −0.166395 | + | 0.943673i | ||||
\(815\) | 1014.87 | − | 369.382i | 1.24524 | − | 0.453229i | ||||
\(816\) | − | 1568.41i | − | 1.92208i | ||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 130.000 | 0.158924 | ||||||||
\(819\) | −24.6634 | − | 67.7622i | −0.0301141 | − | 0.0827377i | ||||
\(820\) | −1278.28 | − | 225.395i | −1.55888 | − | 0.274872i | ||||
\(821\) | 645.009 | − | 541.227i | 0.785639 | − | 0.659229i | −0.159023 | − | 0.987275i | \(-0.550834\pi\) |
0.944662 | + | 0.328046i | \(0.106390\pi\) | |||||||
\(822\) | 1244.82 | + | 1044.53i | 1.51438 | + | 1.27072i | ||||
\(823\) | 134.577 | + | 763.226i | 0.163520 | + | 0.927371i | 0.950577 | + | 0.310489i | \(0.100493\pi\) |
−0.787056 | + | 0.616881i | \(0.788396\pi\) | |||||||
\(824\) | −520.000 | − | 900.666i | −0.631068 | − | 1.09304i | ||||
\(825\) | 281.025 | + | 162.250i | 0.340636 | + | 0.196666i | ||||
\(826\) | −305.400 | − | 111.157i | −0.369734 | − | 0.134572i | ||||
\(827\) | −432.843 | + | 1189.23i | −0.523389 | + | 1.43800i | 0.343335 | + | 0.939213i | \(0.388443\pi\) |
−0.866724 | + | 0.498788i | \(0.833779\pi\) | |||||||
\(828\) | −630.000 | + | 1091.19i | −0.760870 | + | 1.31786i | ||||
\(829\) | −1358.29 | + | 784.207i | −1.63846 | + | 0.945968i | −0.657102 | + | 0.753802i | \(0.728218\pi\) |
−0.981362 | + | 0.192166i | \(0.938449\pi\) | |||||||
\(830\) | 568.124 | − | 100.176i | 0.684487 | − | 0.120693i | ||||
\(831\) | −115.880 | + | 138.101i | −0.139447 | + | 0.166186i | ||||
\(832\) | −2.31760 | − | 2.76201i | −0.00278558 | − | 0.00331973i | ||||
\(833\) | −62.5133 | + | 354.531i | −0.0750460 | + | 0.425607i | ||||
\(834\) | −610.800 | + | 222.313i | −0.732374 | + | 0.266562i | ||||
\(835\) | 490.355i | 0.587251i | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −650.000 | −0.776583 | ||||||||
\(838\) | −138.115 | − | 379.468i | −0.164815 | − | 0.452826i | ||||
\(839\) | −1136.25 | − | 200.351i | −1.35429 | − | 0.238798i | −0.551058 | − | 0.834467i | \(-0.685776\pi\) |
−0.803230 | + | 0.595669i | \(0.796887\pi\) | |||||||
\(840\) | 995.858 | − | 835.624i | 1.18554 | − | 0.994790i | ||||
\(841\) | 395.279 | + | 331.678i | 0.470011 | + | 0.394386i | ||||
\(842\) | −395.050 | − | 2240.44i | −0.469180 | − | 2.66085i | ||||
\(843\) | 520.000 | + | 900.666i | 0.616845 | + | 1.06841i | ||||
\(844\) | −1826.66 | − | 1054.62i | −2.16429 | − | 1.24955i | ||||
\(845\) | −586.368 | − | 213.421i | −0.693927 | − | 0.252569i | ||||
\(846\) | −49.3268 | + | 135.524i | −0.0583060 | + | 0.160194i | ||||
\(847\) | −52.5000 | + | 90.9327i | −0.0619835 | + | 0.107359i | ||||
\(848\) | −1901.60 | + | 1097.89i | −2.24246 | + | 1.29468i | ||||
\(849\) | −1136.25 | + | 200.351i | −1.33834 | + | 0.235985i | ||||
\(850\) | 312.876 | − | 372.872i | 0.368090 | − | 0.438673i | ||||
\(851\) | −486.697 | − | 580.023i | −0.571912 | − | 0.681578i | ||||
\(852\) | −609.505 | + | 3456.68i | −0.715382 | + | 4.05713i | ||||
\(853\) | −375.877 | + | 136.808i | −0.440653 | + | 0.160385i | −0.552813 | − | 0.833306i | \(-0.686445\pi\) |
0.112160 | + | 0.993690i | \(0.464223\pi\) | |||||||
\(854\) | 721.110i | 0.844391i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1365.00 | 1.59463 | ||||||||
\(857\) | −54.2595 | − | 149.077i | −0.0633133 | − | 0.173952i | 0.904002 | − | 0.427528i | \(-0.140615\pi\) |
−0.967315 | + | 0.253576i | \(0.918393\pi\) | |||||||
\(858\) | −461.601 | − | 81.3927i | −0.537996 | − | 0.0948632i | ||||
\(859\) | 1096.98 | − | 920.472i | 1.27704 | − | 1.07156i | 0.283393 | − | 0.959004i | \(-0.408540\pi\) |
0.993645 | − | 0.112558i | \(-0.0359045\pi\) | |||||||
\(860\) | 551.552 | + | 462.807i | 0.641340 | + | 0.538148i | ||||
\(861\) | −112.871 | − | 640.125i | −0.131093 | − | 0.743467i | ||||
\(862\) | −780.000 | − | 1351.00i | −0.904872 | − | 1.56728i | ||||
\(863\) | 112.410 | + | 64.8999i | 0.130255 | + | 0.0752027i | 0.563712 | − | 0.825972i | \(-0.309373\pi\) |
−0.433457 | + | 0.901174i | \(0.642706\pi\) | |||||||
\(864\) | −549.720 | − | 200.082i | −0.636250 | − | 0.231576i | ||||
\(865\) | −167.711 | + | 460.783i | −0.193886 | + | 0.532697i | ||||
\(866\) | −1326.00 | + | 2296.70i | −1.53118 | + | 2.65208i | ||||
\(867\) | 199.840 | − | 115.378i | 0.230496 | − | 0.133077i | ||||
\(868\) | 1597.85 | − | 281.744i | 1.84084 | − | 0.324590i | ||||
\(869\) | −231.760 | + | 276.201i | −0.266698 | + | 0.317838i | ||||
\(870\) | 602.577 | + | 718.123i | 0.692617 | + | 0.825429i | ||||
\(871\) | −24.8317 | + | 140.828i | −0.0285094 | + | 0.161685i | ||||
\(872\) | 3359.40 | − | 1222.72i | 3.85252 | − | 1.40220i | ||||
\(873\) | − | 490.355i | − | 0.561690i | ||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 680.000 | 0.777143 | ||||||||
\(876\) | −1165.35 | − | 3201.76i | −1.33030 | − | 3.65498i | ||||
\(877\) | 387.034 | + | 68.2446i | 0.441316 | + | 0.0778160i | 0.389891 | − | 0.920861i | \(-0.372513\pi\) |
0.0514250 | + | 0.998677i | \(0.483624\pi\) | |||||||
\(878\) | −2190.89 | + | 1838.37i | −2.49532 | + | 2.09382i | ||||
\(879\) | −607.473 | − | 509.731i | −0.691096 | − | 0.579898i | ||||
\(880\) | −201.432 | − | 1142.38i | −0.228900 | − | 1.29816i | ||||
\(881\) | −375.000 | − | 649.519i | −0.425653 | − | 0.737252i | 0.570828 | − | 0.821069i | \(-0.306622\pi\) |
−0.996481 | + | 0.0838173i | \(0.973289\pi\) | |||||||
\(882\) | −299.760 | − | 173.066i | −0.339864 | − | 0.196220i | ||||
\(883\) | −112.763 | − | 41.0424i | −0.127705 | − | 0.0464807i | 0.277377 | − | 0.960761i | \(-0.410535\pi\) |
−0.405082 | + | 0.914280i | \(0.632757\pi\) | |||||||
\(884\) | −166.478 | + | 457.395i | −0.188324 | + | 0.517415i | ||||
\(885\) | −130.000 | + | 225.167i | −0.146893 | + | 0.254426i | ||||
\(886\) | 2092.07 | − | 1207.86i | 2.36126 | − | 1.36327i | ||||
\(887\) | −837.983 | + | 147.759i | −0.944738 | + | 0.166583i | −0.624738 | − | 0.780835i | \(-0.714794\pi\) |
−0.320000 | + | 0.947417i | \(0.603683\pi\) | |||||||
\(888\) | −903.865 | + | 1077.18i | −1.01787 | + | 1.21305i | ||||
\(889\) | 417.169 | + | 497.162i | 0.469256 | + | 0.559238i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −949.090 | + | 345.440i | −1.06520 | + | 0.387700i | ||||
\(892\) | 1817.20i | 2.03722i | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 910.000 | 1.01790 | ||||||||
\(895\) | −49.3268 | − | 135.524i | −0.0551138 | − | 0.151424i | ||||
\(896\) | −621.386 | − | 109.567i | −0.693511 | − | 0.122285i | ||||
\(897\) | 348.550 | − | 292.468i | 0.388573 | − | 0.326052i | ||||
\(898\) | 99.5858 | + | 83.5624i | 0.110897 | + | 0.0930539i | ||||
\(899\) | 112.871 | + | 640.125i | 0.125552 | + | 0.712041i | ||||
\(900\) | 162.000 | + | 280.592i | 0.180000 | + | 0.311769i | ||||
\(901\) | 983.587 | + | 567.874i | 1.09166 | + | 0.630271i | ||||
\(902\) | −1221.60 | − | 444.626i | −1.35432 | − | 0.492934i | ||||
\(903\) | −123.317 | + | 338.811i | −0.136564 | + | 0.375206i | ||||
\(904\) | 1105.00 | − | 1913.92i | 1.22235 | − | 2.11716i | ||||
\(905\) | 374.700 | − | 216.333i | 0.414033 | − | 0.239042i | ||||
\(906\) | −461.601 | + | 81.3927i | −0.509493 | + | 0.0898374i | ||||
\(907\) | 414.851 | − | 494.400i | 0.457388 | − | 0.545094i | −0.487226 | − | 0.873276i | \(-0.661991\pi\) |
0.944615 | + | 0.328182i | \(0.106436\pi\) | |||||||
\(908\) | −1480.95 | − | 1764.93i | −1.63100 | − | 1.94375i | ||||
\(909\) | 34.7296 | − | 196.962i | 0.0382064 | − | 0.216679i | ||||
\(910\) | −244.320 | + | 88.9252i | −0.268484 | + | 0.0977200i | ||||
\(911\) | − | 1225.89i | − | 1.34565i | −0.739802 | − | 0.672825i | \(-0.765081\pi\) | ||
0.739802 | − | 0.672825i | \(-0.234919\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 400.000 | 0.438116 | ||||||||
\(914\) | 931.044 | + | 2558.02i | 1.01865 | + | 2.79871i | ||||
\(915\) | 568.124 | + | 100.176i | 0.620901 | + | 0.109482i | ||||
\(916\) | 1103.10 | − | 925.614i | 1.20426 | − | 1.01050i | ||||
\(917\) | −428.985 | − | 359.961i | −0.467813 | − | 0.392542i | ||||
\(918\) | 169.307 | + | 960.188i | 0.184430 | + | 1.04596i | ||||
\(919\) | 256.500 | + | 444.271i | 0.279108 | + | 0.483429i | 0.971163 | − | 0.238416i | \(-0.0766280\pi\) |
−0.692056 | + | 0.721844i | \(0.743295\pi\) | |||||||
\(920\) | 2185.75 | + | 1261.94i | 2.37581 | + | 1.37168i | ||||
\(921\) | −806.256 | − | 293.453i | −0.875414 | − | 0.318625i | ||||
\(922\) | 952.008 | − | 2615.62i | 1.03255 | − | 2.83690i | ||||
\(923\) | 195.000 | − | 337.750i | 0.211268 | − | 0.365926i | ||||
\(924\) | 1405.12 | − | 811.249i | 1.52070 | − | 0.877975i | ||||
\(925\) | −191.742 | + | 33.8093i | −0.207288 | + | 0.0365506i | ||||
\(926\) | 811.161 | − | 966.704i | 0.875984 | − | 1.04396i | ||||
\(927\) | −148.327 | − | 176.769i | −0.160007 | − | 0.190689i | ||||
\(928\) | −101.584 | + | 576.113i | −0.109466 | + | 0.620811i | ||||
\(929\) | 1143.61 | − | 416.239i | 1.23101 | − | 0.448050i | 0.357065 | − | 0.934080i | \(-0.383777\pi\) |
0.873942 | + | 0.486029i | \(0.161555\pi\) | |||||||
\(930\) | − | 1874.89i | − | 2.01601i | ||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 2430.00 | 2.60730 | ||||||||
\(933\) | 487.103 | + | 1338.30i | 0.522082 | + | 1.43441i | ||||
\(934\) | 248.554 | + | 43.8268i | 0.266118 | + | 0.0469238i | ||||
\(935\) | −459.627 | + | 385.673i | −0.491579 | + | 0.412484i | ||||
\(936\) | −199.172 | − | 167.125i | −0.212790 | − | 0.178552i | ||||
\(937\) | −190.145 | − | 1078.36i | −0.202929 | − | 1.15087i | −0.900665 | − | 0.434514i | \(-0.856920\pi\) |
0.697736 | − | 0.716355i | \(-0.254191\pi\) | |||||||
\(938\) | −357.500 | − | 619.208i | −0.381130 | − | 0.660137i | ||||
\(939\) | 390.312 | + | 225.347i | 0.415668 | + | 0.239986i | ||||
\(940\) | 338.289 | + | 123.127i | 0.359882 | + | 0.130986i | ||||
\(941\) | 376.117 | − | 1033.37i | 0.399699 | − | 1.09817i | −0.562732 | − | 0.826640i | \(-0.690250\pi\) |
0.962431 | − | 0.271526i | \(-0.0875282\pi\) | |||||||
\(942\) | −65.0000 | + | 112.583i | −0.0690021 | + | 0.119515i | ||||
\(943\) | 1092.87 | − | 630.971i | 1.15893 | − | 0.669111i | ||||
\(944\) | −514.862 | + | 90.7841i | −0.545405 | + | 0.0961696i | ||||
\(945\) | −231.760 | + | 276.201i | −0.245249 | + | 0.292276i | ||||
\(946\) | 463.521 | + | 552.403i | 0.489980 | + | 0.583935i | ||||
\(947\) | 111.135 | − | 630.277i | 0.117355 | − | 0.665551i | −0.868203 | − | 0.496210i | \(-0.834725\pi\) |
0.985557 | − | 0.169342i | \(-0.0541641\pi\) | |||||||
\(948\) | −1099.44 | + | 400.164i | −1.15975 | + | 0.422113i | ||||
\(949\) | 378.583i | 0.398928i | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 13.0000 | 0.0136698 | ||||||||
\(952\) | −462.439 | − | 1270.54i | −0.485755 | − | 1.33460i | ||||
\(953\) | 1150.45 | + | 202.856i | 1.20719 | + | 0.212860i | 0.740804 | − | 0.671722i | \(-0.234445\pi\) |
0.466385 | + | 0.884582i | \(0.345556\pi\) | |||||||
\(954\) | −836.521 | + | 701.924i | −0.876856 | + | 0.735769i | ||||
\(955\) | 591.386 | + | 496.232i | 0.619253 | + | 0.519615i | ||||
\(956\) | −307.878 | − | 1746.06i | −0.322048 | − | 1.82643i | ||||
\(957\) | 325.000 | + | 562.917i | 0.339603 | + | 0.588210i | ||||
\(958\) | 1155.32 | + | 667.027i | 1.20598 | + | 0.696270i | ||||
\(959\) | 587.308 | + | 213.763i | 0.612417 | + | 0.222902i | ||||
\(960\) | 4.93268 | − | 13.5524i | 0.00513821 | − | 0.0141171i | ||||
\(961\) | 169.500 | − | 293.583i | 0.176379 | − | 0.305497i | ||||
\(962\) | 243.555 | − | 140.616i | 0.253176 | − | 0.146171i | ||||
\(963\) | 298.265 | − | 52.5922i | 0.309725 | − | 0.0546129i | ||||
\(964\) | 2294.43 | − | 2734.39i | 2.38011 | − | 2.83651i | ||||
\(965\) | 686.011 | + | 817.556i | 0.710892 | + | 0.847208i | ||||
\(966\) | −395.050 | + | 2240.44i | −0.408954 | + | 2.31929i | ||||
\(967\) | 949.090 | − | 345.440i | 0.981478 | − | 0.357229i | 0.199064 | − | 0.979987i | \(-0.436210\pi\) |
0.782415 | + | 0.622758i | \(0.213988\pi\) | |||||||
\(968\) | 378.583i | 0.391098i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1768.00 | −1.82268 | ||||||||
\(971\) | 258.966 | + | 711.503i | 0.266700 | + | 0.732753i | 0.998677 | + | 0.0514233i | \(0.0163758\pi\) |
−0.731977 | + | 0.681330i | \(0.761402\pi\) | |||||||
\(972\) | −1789.59 | − | 315.553i | −1.84114 | − | 0.324643i | ||||
\(973\) | −191.511 | + | 160.697i | −0.196825 | + | 0.165156i | ||||
\(974\) | 1434.04 | + | 1203.30i | 1.47232 | + | 1.23542i | ||||
\(975\) | −20.3168 | − | 115.223i | −0.0208378 | − | 0.118177i | ||||
\(976\) | 580.000 | + | 1004.59i | 0.594262 | + | 1.02929i | ||||
\(977\) | −518.335 | − | 299.261i | −0.530537 | − | 0.306306i | 0.210698 | − | 0.977551i | \(-0.432426\pi\) |
−0.741235 | + | 0.671245i | \(0.765760\pi\) | |||||||
\(978\) | 3298.32 | + | 1200.49i | 3.37252 | + | 1.22750i | ||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −432.000 | + | 748.246i | −0.440816 | + | 0.763516i | ||||
\(981\) | 686.950 | − | 396.611i | 0.700255 | − | 0.404292i | ||||
\(982\) | 2244.09 | − | 395.694i | 2.28522 | − | 0.402947i | ||||
\(983\) | −37.0817 | + | 44.1922i | −0.0377229 | + | 0.0449565i | −0.784576 | − | 0.620033i | \(-0.787119\pi\) |
0.746853 | + | 0.664989i | \(0.231564\pi\) | |||||||
\(984\) | −1506.44 | − | 1795.31i | −1.53094 | − | 1.82450i | ||||
\(985\) | 62.5133 | − | 354.531i | 0.0634653 | − | 0.359930i | ||||
\(986\) | 916.200 | − | 333.470i | 0.929209 | − | 0.338205i | ||||
\(987\) | 180.278i | 0.182652i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −700.000 | −0.707786 | ||||||||
\(990\) | −197.307 | − | 542.098i | −0.199300 | − | 0.547573i | ||||
\(991\) | 0 | 0 | 0.173648 | − | 0.984808i | \(-0.444444\pi\) | ||||
−0.173648 | + | 0.984808i | \(0.555556\pi\) | |||||||
\(992\) | 896.272 | − | 752.062i | 0.903500 | − | 0.758127i | ||||
\(993\) | −547.722 | − | 459.593i | −0.551583 | − | 0.462833i | ||||
\(994\) | 338.614 | + | 1920.38i | 0.340658 | + | 1.93197i | ||||
\(995\) | −246.000 | − | 426.084i | −0.247236 | − | 0.428226i | ||||
\(996\) | 1124.10 | + | 648.999i | 1.12861 | + | 0.651606i | ||||
\(997\) | 159.748 | + | 58.1434i | 0.160228 | + | 0.0583184i | 0.420889 | − | 0.907112i | \(-0.361718\pi\) |
−0.260661 | + | 0.965430i | \(0.583940\pi\) | |||||||
\(998\) | 468.605 | − | 1287.48i | 0.469544 | − | 1.29006i | ||||
\(999\) | 195.000 | − | 337.750i | 0.195195 | − | 0.338088i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))