Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [891,2,Mod(136,891)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(891, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("891.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 891 = 3^{4} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 891.n (of order \(15\), degree \(8\), 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: | \(7.11467082010\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{15})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{7} + x^{5} - x^{4} + x^{3} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 784.1 | ||
Root | \(0.913545 + 0.406737i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 891.784 |
Dual form | 891.2.n.b.433.1 |
$q$-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 \(\left(\mathbb{Z}/891\mathbb{Z}\right)^\times\).
\(n\) | \(244\) | \(650\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0399263 | − | 0.379874i | −0.0282322 | − | 0.268611i | −0.999528 | − | 0.0307347i | \(-0.990215\pi\) |
0.971295 | − | 0.237877i | \(-0.0764514\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.81359 | − | 0.385489i | 0.906793 | − | 0.192745i | ||||
\(5\) | 0.169131 | − | 1.60917i | 0.0756375 | − | 0.719643i | −0.889329 | − | 0.457269i | \(-0.848828\pi\) |
0.964966 | − | 0.262374i | \(-0.0845055\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.669131 | − | 0.743145i | −0.252908 | − | 0.280882i | 0.603300 | − | 0.797514i | \(-0.293852\pi\) |
−0.856208 | + | 0.516632i | \(0.827186\pi\) | |||||||
\(8\) | −0.454915 | − | 1.40008i | −0.160837 | − | 0.495005i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.618034 | −0.195440 | ||||||||
\(11\) | −3.25181 | + | 0.652498i | −0.980457 | + | 0.196735i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.86984 | − | 1.72296i | −1.07330 | − | 0.477864i | −0.207491 | − | 0.978237i | \(-0.566530\pi\) |
−0.865810 | + | 0.500373i | \(0.833196\pi\) | |||||||
\(14\) | −0.255585 | + | 0.283856i | −0.0683080 | + | 0.0758637i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.87392 | − | 1.27955i | 0.718480 | − | 0.319888i | ||||
\(17\) | −6.35410 | − | 4.61653i | −1.54110 | − | 1.11967i | −0.949644 | − | 0.313332i | \(-0.898555\pi\) |
−0.591452 | − | 0.806340i | \(-0.701445\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.263932 | − | 0.812299i | −0.0605502 | − | 0.186354i | 0.916206 | − | 0.400707i | \(-0.131236\pi\) |
−0.976756 | + | 0.214353i | \(0.931236\pi\) | |||||||
\(20\) | −0.313585 | − | 2.98357i | −0.0701198 | − | 0.667146i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.377699 | + | 1.20922i | 0.0805258 | + | 0.257807i | ||||
\(23\) | −2.11803 | − | 3.66854i | −0.441641 | − | 0.764944i | 0.556171 | − | 0.831068i | \(-0.312270\pi\) |
−0.997811 | + | 0.0661240i | \(0.978937\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.32991 | + | 0.495239i | 0.465983 | + | 0.0990477i | ||||
\(26\) | −0.500000 | + | 1.53884i | −0.0980581 | + | 0.301792i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.50000 | − | 1.08981i | −0.283473 | − | 0.205955i | ||||
\(29\) | 4.01478 | + | 4.45887i | 0.745527 | + | 0.827991i | 0.989911 | − | 0.141687i | \(-0.0452527\pi\) |
−0.244385 | + | 0.969678i | \(0.578586\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.65010 | + | 2.07036i | 0.835183 | + | 0.371847i | 0.779347 | − | 0.626593i | \(-0.215551\pi\) |
0.0558359 | + | 0.998440i | \(0.482218\pi\) | |||||||
\(32\) | −2.07295 | − | 3.59045i | −0.366449 | − | 0.634708i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.50000 | + | 2.59808i | −0.257248 | + | 0.445566i | ||||
\(35\) | −1.30902 | + | 0.951057i | −0.221264 | + | 0.160758i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.545085 | + | 1.67760i | −0.0896114 | + | 0.275796i | −0.985812 | − | 0.167854i | \(-0.946316\pi\) |
0.896201 | + | 0.443649i | \(0.146316\pi\) | |||||||
\(38\) | −0.298033 | + | 0.132693i | −0.0483474 | + | 0.0215256i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.32991 | + | 0.495239i | −0.368392 | + | 0.0783041i | ||||
\(41\) | 2.83448 | − | 3.14801i | 0.442672 | − | 0.491637i | −0.479975 | − | 0.877282i | \(-0.659354\pi\) |
0.922647 | + | 0.385645i | \(0.126021\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.35410 | + | 5.80948i | −0.511496 | + | 0.885937i | 0.488415 | + | 0.872611i | \(0.337575\pi\) |
−0.999911 | + | 0.0133254i | \(0.995758\pi\) | |||||||
\(44\) | −5.64590 | + | 2.43690i | −0.851151 | + | 0.367376i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.30902 | + | 0.951057i | −0.193004 | + | 0.140226i | ||||
\(47\) | 1.06635 | + | 0.226659i | 0.155543 | + | 0.0330616i | 0.285025 | − | 0.958520i | \(-0.407998\pi\) |
−0.129482 | + | 0.991582i | \(0.541331\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0.627171 | − | 5.96713i | 0.0895958 | − | 0.852447i | ||||
\(50\) | 0.0951031 | − | 0.904846i | 0.0134496 | − | 0.127965i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.68247 | − | 1.63296i | −1.06537 | − | 0.226451i | ||||
\(53\) | −2.11803 | + | 1.53884i | −0.290934 | + | 0.211376i | −0.723673 | − | 0.690143i | \(-0.757547\pi\) |
0.432738 | + | 0.901520i | \(0.357547\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.500000 | + | 5.34307i | 0.0674200 | + | 0.720459i | ||||
\(56\) | −0.736068 | + | 1.27491i | −0.0983612 | + | 0.170367i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.53351 | − | 1.70314i | 0.201360 | − | 0.223633i | ||||
\(59\) | 9.40786 | − | 1.99970i | 1.22480 | − | 0.260339i | 0.450278 | − | 0.892888i | \(-0.351325\pi\) |
0.774520 | + | 0.632549i | \(0.217991\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 7.82206 | − | 3.48260i | 1.00151 | − | 0.445902i | 0.160568 | − | 0.987025i | \(-0.448667\pi\) |
0.840943 | + | 0.541123i | \(0.182001\pi\) | |||||||
\(62\) | 0.600813 | − | 1.84911i | 0.0763033 | − | 0.234838i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.80902 | − | 2.76741i | 0.476127 | − | 0.345927i | ||||
\(65\) | −3.42705 | + | 5.93583i | −0.425073 | + | 0.736249i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.42705 | + | 4.20378i | 0.296511 | + | 0.513573i | 0.975335 | − | 0.220728i | \(-0.0708434\pi\) |
−0.678824 | + | 0.734301i | \(0.737510\pi\) | |||||||
\(68\) | −13.3033 | − | 5.92302i | −1.61327 | − | 0.718272i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0.413545 | + | 0.459289i | 0.0494281 | + | 0.0548955i | ||||
\(71\) | −4.30902 | − | 3.13068i | −0.511386 | − | 0.371544i | 0.301963 | − | 0.953320i | \(-0.402358\pi\) |
−0.813349 | + | 0.581776i | \(0.802358\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.38197 | − | 7.33094i | 0.278788 | − | 0.858021i | −0.709404 | − | 0.704802i | \(-0.751036\pi\) |
0.988192 | − | 0.153219i | \(-0.0489641\pi\) | |||||||
\(74\) | 0.659039 | + | 0.140083i | 0.0766117 | + | 0.0162843i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.791796 | − | 1.37143i | −0.0908252 | − | 0.157314i | ||||
\(77\) | 2.66078 | + | 1.97996i | 0.303224 | + | 0.225637i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.14981 | − | 10.9397i | −0.129364 | − | 1.23082i | −0.845929 | − | 0.533296i | \(-0.820953\pi\) |
0.716565 | − | 0.697521i | \(-0.245714\pi\) | |||||||
\(80\) | −1.57295 | − | 4.84104i | −0.175861 | − | 0.541245i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.30902 | − | 0.951057i | −0.144557 | − | 0.105027i | ||||
\(83\) | 6.82614 | − | 3.03919i | 0.749266 | − | 0.333595i | 0.00367013 | − | 0.999993i | \(-0.498832\pi\) |
0.745596 | + | 0.666399i | \(0.232165\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −8.50345 | + | 9.44404i | −0.922328 | + | 1.02435i | ||||
\(86\) | 2.34078 | + | 1.04218i | 0.252413 | + | 0.112382i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.39285 | + | 4.25597i | 0.255078 | + | 0.453688i | ||||
\(89\) | 3.76393 | 0.398976 | 0.199488 | − | 0.979900i | \(-0.436072\pi\) | ||||
0.199488 | + | 0.979900i | \(0.436072\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.30902 | + | 4.02874i | 0.137222 | + | 0.422327i | ||||
\(92\) | −5.25542 | − | 5.83674i | −0.547915 | − | 0.608522i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.0435265 | − | 0.414127i | 0.00448941 | − | 0.0427139i | ||||
\(95\) | −1.35177 | + | 0.287327i | −0.138688 | + | 0.0294791i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.119779 | − | 1.13962i | −0.0121617 | − | 0.115711i | 0.986757 | − | 0.162207i | \(-0.0518612\pi\) |
−0.998918 | + | 0.0464960i | \(0.985195\pi\) | |||||||
\(98\) | −2.29180 | −0.231506 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.41641 | 0.441641 | ||||||||
\(101\) | −0.602495 | − | 5.73236i | −0.0599505 | − | 0.570391i | −0.982728 | − | 0.185057i | \(-0.940753\pi\) |
0.922777 | − | 0.385334i | \(-0.125914\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −6.79252 | + | 1.44380i | −0.669287 | + | 0.142261i | −0.530009 | − | 0.847992i | \(-0.677812\pi\) |
−0.139278 | + | 0.990253i | \(0.544478\pi\) | |||||||
\(104\) | −0.651847 | + | 6.20191i | −0.0639188 | + | 0.608147i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.669131 | + | 0.743145i | 0.0649917 | + | 0.0721806i | ||||
\(107\) | 0.781153 | + | 2.40414i | 0.0755169 | + | 0.232417i | 0.981689 | − | 0.190493i | \(-0.0610086\pi\) |
−0.906172 | + | 0.422910i | \(0.861009\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.0000 | −1.14939 | −0.574696 | − | 0.818367i | \(-0.694880\pi\) | ||||
−0.574696 | + | 0.818367i | \(0.694880\pi\) | |||||||
\(110\) | 2.00973 | − | 0.403266i | 0.191620 | − | 0.0384499i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.87392 | − | 1.27955i | −0.271560 | − | 0.120906i | ||||
\(113\) | −3.02973 | + | 3.36486i | −0.285013 | + | 0.316539i | −0.868602 | − | 0.495510i | \(-0.834981\pi\) |
0.583589 | + | 0.812049i | \(0.301648\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.26153 | + | 2.78781i | −0.583891 | + | 0.259965i | ||||
\(116\) | 9.00000 | + | 6.53888i | 0.835629 | + | 0.607120i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.13525 | − | 3.49396i | −0.104509 | − | 0.321645i | ||||
\(119\) | 0.820977 | + | 7.81108i | 0.0752589 | + | 0.716040i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.1485 | − | 4.24359i | 0.922590 | − | 0.385781i | ||||
\(122\) | −1.63525 | − | 2.83234i | −0.148049 | − | 0.256428i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.23146 | + | 1.96221i | 0.829009 | + | 0.176211i | ||||
\(125\) | 3.69098 | − | 11.3597i | 0.330132 | − | 1.01604i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.61803 | + | 3.35520i | 0.409784 | + | 0.297726i | 0.773514 | − | 0.633779i | \(-0.218497\pi\) |
−0.363730 | + | 0.931504i | \(0.618497\pi\) | |||||||
\(128\) | −6.75164 | − | 7.49846i | −0.596766 | − | 0.662776i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 2.39169 | + | 1.06485i | 0.209765 | + | 0.0933936i | ||||
\(131\) | 6.39919 | + | 11.0837i | 0.559100 | + | 0.968389i | 0.997572 | + | 0.0696442i | \(0.0221864\pi\) |
−0.438472 | + | 0.898745i | \(0.644480\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.427051 | + | 0.739674i | −0.0370300 | + | 0.0641379i | ||||
\(134\) | 1.50000 | − | 1.08981i | 0.129580 | − | 0.0941456i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −3.57295 | + | 10.9964i | −0.306378 | + | 0.942934i | ||||
\(137\) | −13.0053 | + | 5.79033i | −1.11112 | + | 0.494701i | −0.878440 | − | 0.477853i | \(-0.841415\pi\) |
−0.232677 | + | 0.972554i | \(0.574749\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 5.44076 | − | 1.15647i | 0.461479 | − | 0.0980904i | 0.0286953 | − | 0.999588i | \(-0.490865\pi\) |
0.432784 | + | 0.901498i | \(0.357531\pi\) | |||||||
\(140\) | −2.00739 | + | 2.22943i | −0.169656 | + | 0.188422i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.01722 | + | 1.76188i | −0.0853633 | + | 0.147854i | ||||
\(143\) | 13.7082 | + | 3.07768i | 1.14634 | + | 0.257369i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.85410 | − | 5.70634i | 0.652248 | − | 0.473886i | ||||
\(146\) | −2.87993 | − | 0.612149i | −0.238345 | − | 0.0506618i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.341861 | + | 3.25259i | −0.0281008 | + | 0.267362i | ||||
\(149\) | 0.0246758 | − | 0.234775i | 0.00202152 | − | 0.0192335i | −0.993465 | − | 0.114140i | \(-0.963589\pi\) |
0.995486 | + | 0.0949068i | \(0.0302553\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −18.5303 | − | 3.93874i | −1.50797 | − | 0.320530i | −0.621539 | − | 0.783383i | \(-0.713492\pi\) |
−0.886435 | + | 0.462853i | \(0.846826\pi\) | |||||||
\(152\) | −1.01722 | + | 0.739054i | −0.0825075 | + | 0.0599452i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.645898 | − | 1.08981i | 0.0520479 | − | 0.0878197i | ||||
\(155\) | 4.11803 | − | 7.13264i | 0.330768 | − | 0.572908i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.53351 | − | 1.70314i | 0.122387 | − | 0.135925i | −0.678837 | − | 0.734289i | \(-0.737516\pi\) |
0.801224 | + | 0.598364i | \(0.204182\pi\) | |||||||
\(158\) | −4.10981 | + | 0.873567i | −0.326959 | + | 0.0694973i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −6.12825 | + | 2.72847i | −0.484481 | + | 0.215705i | ||||
\(161\) | −1.30902 | + | 4.02874i | −0.103165 | + | 0.317509i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 9.59017 | − | 6.96767i | 0.751160 | − | 0.545750i | −0.145026 | − | 0.989428i | \(-0.546327\pi\) |
0.896186 | + | 0.443678i | \(0.146327\pi\) | |||||||
\(164\) | 3.92705 | − | 6.80185i | 0.306651 | − | 0.531135i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.42705 | − | 2.47172i | −0.110761 | − | 0.191843i | ||||
\(167\) | 15.5617 | + | 6.92853i | 1.20420 | + | 0.536146i | 0.907996 | − | 0.418978i | \(-0.137612\pi\) |
0.296207 | + | 0.955124i | \(0.404278\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 3.30836 | + | 3.67431i | 0.254490 | + | 0.282639i | ||||
\(170\) | 3.92705 | + | 2.85317i | 0.301191 | + | 0.218828i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −3.84346 | + | 11.8290i | −0.293061 | + | 0.901949i | ||||
\(173\) | 10.7933 | + | 2.29419i | 0.820600 | + | 0.174424i | 0.599036 | − | 0.800722i | \(-0.295550\pi\) |
0.221564 | + | 0.975146i | \(0.428884\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.19098 | − | 2.06284i | −0.0900299 | − | 0.155936i | ||||
\(176\) | −8.51053 | + | 6.03608i | −0.641505 | + | 0.454987i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −0.150280 | − | 1.42982i | −0.0112640 | − | 0.107169i | ||||
\(179\) | 5.39919 | + | 16.6170i | 0.403554 | + | 1.24201i | 0.922096 | + | 0.386960i | \(0.126475\pi\) |
−0.518542 | + | 0.855052i | \(0.673525\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −9.28115 | − | 6.74315i | −0.689863 | − | 0.501215i | 0.186752 | − | 0.982407i | \(-0.440204\pi\) |
−0.876615 | + | 0.481192i | \(0.840204\pi\) | |||||||
\(182\) | 1.47815 | − | 0.658114i | 0.109568 | − | 0.0487826i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.17274 | + | 4.63430i | −0.307619 | + | 0.341645i | ||||
\(185\) | 2.60735 | + | 1.16087i | 0.191696 | + | 0.0853487i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 23.6746 | + | 10.8660i | 1.73126 | + | 0.794601i | ||||
\(188\) | 2.02129 | 0.147417 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0.163119 | + | 0.502029i | 0.0118339 | + | 0.0364210i | ||||
\(191\) | 15.5107 | + | 17.2263i | 1.12231 | + | 1.24645i | 0.965943 | + | 0.258756i | \(0.0833127\pi\) |
0.156370 | + | 0.987698i | \(0.450021\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.03003 | − | 9.80012i | 0.0741435 | − | 0.705428i | −0.892803 | − | 0.450448i | \(-0.851264\pi\) |
0.966946 | − | 0.254980i | \(-0.0820690\pi\) | |||||||
\(194\) | −0.428129 | + | 0.0910017i | −0.0307379 | + | 0.00653354i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.16284 | − | 11.0637i | −0.0830599 | − | 0.790262i | ||||
\(197\) | 16.0344 | 1.14241 | 0.571203 | − | 0.820809i | \(-0.306477\pi\) | ||||
0.571203 | + | 0.820809i | \(0.306477\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −6.70820 | −0.475532 | −0.237766 | − | 0.971322i | \(-0.576415\pi\) | ||||
−0.237766 | + | 0.971322i | \(0.576415\pi\) | |||||||
\(200\) | −0.366537 | − | 3.48737i | −0.0259181 | − | 0.246594i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.15352 | + | 0.457744i | −0.151521 | + | 0.0322067i | ||||
\(203\) | 0.627171 | − | 5.96713i | 0.0440188 | − | 0.418811i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −4.58629 | − | 5.09359i | −0.320320 | − | 0.355752i | ||||
\(206\) | 0.819660 | + | 2.52265i | 0.0571084 | + | 0.175762i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −13.3262 | −0.924008 | ||||||||
\(209\) | 1.38828 | + | 2.46923i | 0.0960293 | + | 0.170800i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.26249 | + | 0.562096i | 0.0869133 | + | 0.0386963i | 0.449733 | − | 0.893163i | \(-0.351519\pi\) |
−0.362820 | + | 0.931859i | \(0.618186\pi\) | |||||||
\(212\) | −3.24803 | + | 3.60730i | −0.223075 | + | 0.247750i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0.882081 | − | 0.392728i | 0.0602978 | − | 0.0268463i | ||||
\(215\) | 8.78115 | + | 6.37988i | 0.598870 | + | 0.435104i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.57295 | − | 4.84104i | −0.106779 | − | 0.328631i | ||||
\(218\) | 0.479116 | + | 4.55848i | 0.0324498 | + | 0.308739i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.96649 | + | 9.49737i | 0.200001 | + | 0.640312i | ||||
\(221\) | 16.6353 | + | 28.8131i | 1.11901 | + | 1.93818i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 14.8486 | + | 3.15617i | 0.994337 | + | 0.211353i | 0.676221 | − | 0.736699i | \(-0.263617\pi\) |
0.318116 | + | 0.948052i | \(0.396950\pi\) | |||||||
\(224\) | −1.28115 | + | 3.94298i | −0.0856006 | + | 0.263452i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.39919 | + | 1.01657i | 0.0930725 | + | 0.0676212i | ||||
\(227\) | 6.14285 | + | 6.82232i | 0.407715 | + | 0.452813i | 0.911674 | − | 0.410914i | \(-0.134790\pi\) |
−0.503959 | + | 0.863728i | \(0.668124\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −7.73968 | − | 3.44593i | −0.511453 | − | 0.227713i | 0.134750 | − | 0.990880i | \(-0.456977\pi\) |
−0.646202 | + | 0.763166i | \(0.723644\pi\) | |||||||
\(230\) | 1.30902 | + | 2.26728i | 0.0863140 | + | 0.149500i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 4.41641 | − | 7.64944i | 0.289951 | − | 0.502211i | ||||
\(233\) | −8.78115 | + | 6.37988i | −0.575272 | + | 0.417960i | −0.837017 | − | 0.547177i | \(-0.815702\pi\) |
0.261744 | + | 0.965137i | \(0.415702\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.545085 | − | 1.67760i | 0.0355574 | − | 0.109434i | ||||
\(236\) | 16.2911 | − | 7.25326i | 1.06046 | − | 0.472147i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 2.93444 | − | 0.623735i | 0.190212 | − | 0.0404307i | ||||
\(239\) | −1.75181 | + | 1.94558i | −0.113315 | + | 0.125849i | −0.797133 | − | 0.603803i | \(-0.793651\pi\) |
0.683819 | + | 0.729652i | \(0.260318\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.8541 | + | 18.7999i | −0.699174 | + | 1.21101i | 0.269579 | + | 0.962978i | \(0.413115\pi\) |
−0.968753 | + | 0.248027i | \(0.920218\pi\) | |||||||
\(242\) | −2.01722 | − | 3.68571i | −0.129672 | − | 0.236927i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 12.8435 | − | 9.33132i | 0.822218 | − | 0.597376i | ||||
\(245\) | −9.49606 | − | 2.01845i | −0.606681 | − | 0.128954i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.378188 | + | 3.59821i | −0.0240635 | + | 0.228949i | ||||
\(248\) | 0.783276 | − | 7.45237i | 0.0497381 | − | 0.473226i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −4.46261 | − | 0.948557i | −0.282240 | − | 0.0599920i | ||||
\(251\) | 20.2082 | − | 14.6821i | 1.27553 | − | 0.926727i | 0.276122 | − | 0.961123i | \(-0.410951\pi\) |
0.999408 | + | 0.0343954i | \(0.0109505\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 9.28115 | + | 10.5474i | 0.583501 | + | 0.663108i | ||||
\(254\) | 1.09017 | − | 1.88823i | 0.0684033 | − | 0.118478i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 3.72191 | − | 4.13360i | 0.232619 | − | 0.258350i | ||||
\(257\) | −12.4642 | + | 2.64935i | −0.777495 | + | 0.165262i | −0.579534 | − | 0.814948i | \(-0.696765\pi\) |
−0.197961 | + | 0.980210i | \(0.563432\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 1.61143 | − | 0.717456i | 0.100130 | − | 0.0445805i | ||||
\(260\) | −3.92705 | + | 12.0862i | −0.243545 | + | 0.749556i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 3.95492 | − | 2.87341i | 0.244335 | − | 0.177520i | ||||
\(263\) | 9.13525 | − | 15.8227i | 0.563304 | − | 0.975671i | −0.433901 | − | 0.900960i | \(-0.642863\pi\) |
0.997205 | − | 0.0747107i | \(-0.0238033\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.11803 | + | 3.66854i | 0.130110 | + | 0.225357i | ||||
\(266\) | 0.298033 | + | 0.132693i | 0.0182736 | + | 0.00813592i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.02218 | + | 6.68830i | 0.367863 | + | 0.408553i | ||||
\(269\) | 1.14590 | + | 0.832544i | 0.0698666 | + | 0.0507611i | 0.622170 | − | 0.782882i | \(-0.286251\pi\) |
−0.552304 | + | 0.833643i | \(0.686251\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.06231 | − | 15.5802i | 0.307513 | − | 0.946428i | −0.671214 | − | 0.741263i | \(-0.734227\pi\) |
0.978727 | − | 0.205165i | \(-0.0657731\pi\) | |||||||
\(272\) | −24.1683 | − | 5.13712i | −1.46542 | − | 0.311484i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.71885 | + | 4.70918i | 0.164252 | + | 0.284492i | ||||
\(275\) | −7.89957 | − | 0.0901561i | −0.476362 | − | 0.00543662i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −2.32208 | − | 22.0931i | −0.139520 | − | 1.32744i | −0.810399 | − | 0.585878i | \(-0.800750\pi\) |
0.670879 | − | 0.741567i | \(-0.265917\pi\) | |||||||
\(278\) | −0.656541 | − | 2.02063i | −0.0393767 | − | 0.121189i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 1.92705 | + | 1.40008i | 0.115163 | + | 0.0836711i | ||||
\(281\) | −26.7085 | + | 11.8914i | −1.59329 | + | 0.709380i | −0.995719 | − | 0.0924326i | \(-0.970536\pi\) |
−0.597575 | + | 0.801813i | \(0.703869\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.15780 | − | 5.72831i | 0.306599 | − | 0.340513i | −0.570079 | − | 0.821590i | \(-0.693088\pi\) |
0.876678 | + | 0.481077i | \(0.159754\pi\) | |||||||
\(284\) | −9.02162 | − | 4.01668i | −0.535334 | − | 0.238346i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.621812 | − | 5.33026i | 0.0367685 | − | 0.315185i | ||||
\(287\) | −4.23607 | −0.250047 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.8090 | + | 42.4998i | 0.812295 | + | 2.49999i | ||||
\(290\) | −2.48127 | − | 2.75573i | −0.145705 | − | 0.161822i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.49390 | − | 14.2135i | 0.0874239 | − | 0.831782i | ||||
\(293\) | 9.44155 | − | 2.00686i | 0.551581 | − | 0.117242i | 0.0763141 | − | 0.997084i | \(-0.475685\pi\) |
0.475267 | + | 0.879842i | \(0.342351\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.62670 | − | 15.4771i | −0.0947104 | − | 0.901109i | ||||
\(296\) | 2.59675 | 0.150933 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −0.0901699 | −0.00522340 | ||||||||
\(299\) | 1.87569 | + | 17.8460i | 0.108474 | + | 1.03206i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 6.56161 | − | 1.39471i | 0.378205 | − | 0.0803900i | ||||
\(302\) | −0.756375 | + | 7.19643i | −0.0435245 | + | 0.414108i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.79790 | − | 1.99677i | −0.103117 | − | 0.114523i | ||||
\(305\) | −4.28115 | − | 13.1760i | −0.245138 | − | 0.754458i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −18.9787 | −1.08317 | −0.541586 | − | 0.840645i | \(-0.682176\pi\) | ||||
−0.541586 | + | 0.840645i | \(0.682176\pi\) | |||||||
\(308\) | 5.58881 | + | 2.56512i | 0.318452 | + | 0.146161i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.87392 | − | 1.27955i | −0.163228 | − | 0.0726737i | ||||
\(311\) | 13.1501 | − | 14.6046i | 0.745672 | − | 0.828153i | −0.244258 | − | 0.969710i | \(-0.578544\pi\) |
0.989930 | + | 0.141557i | \(0.0452110\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.4803 | + | 4.66614i | −0.592383 | + | 0.263746i | −0.680956 | − | 0.732324i | \(-0.738436\pi\) |
0.0885739 | + | 0.996070i | \(0.471769\pi\) | |||||||
\(314\) | −0.708204 | − | 0.514540i | −0.0399663 | − | 0.0290372i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −6.30244 | − | 19.3969i | −0.354540 | − | 1.09116i | ||||
\(317\) | −3.05018 | − | 29.0205i | −0.171315 | − | 1.62995i | −0.655646 | − | 0.755068i | \(-0.727604\pi\) |
0.484331 | − | 0.874885i | \(-0.339063\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −15.9647 | − | 11.8797i | −0.893852 | − | 0.665138i | ||||
\(320\) | −3.80902 | − | 6.59741i | −0.212931 | − | 0.368806i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.58268 | + | 0.336408i | 0.0881991 | + | 0.0187473i | ||||
\(323\) | −2.07295 | + | 6.37988i | −0.115342 | + | 0.354986i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −8.16312 | − | 5.93085i | −0.452808 | − | 0.328985i | ||||
\(326\) | −3.02973 | − | 3.36486i | −0.167801 | − | 0.186362i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −5.69693 | − | 2.53644i | −0.314560 | − | 0.140051i | ||||
\(329\) | −0.545085 | − | 0.944115i | −0.0300515 | − | 0.0520507i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.64590 | + | 2.85078i | −0.0904667 | + | 0.156693i | −0.907708 | − | 0.419603i | \(-0.862169\pi\) |
0.817241 | + | 0.576296i | \(0.195503\pi\) | |||||||
\(332\) | 11.2082 | − | 8.14324i | 0.615130 | − | 0.446918i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.01064 | − | 6.18812i | 0.110017 | − | 0.338599i | ||||
\(335\) | 7.17508 | − | 3.19455i | 0.392016 | − | 0.174537i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.08899 | + | 0.869142i | −0.222741 | + | 0.0473452i | −0.317930 | − | 0.948114i | \(-0.602988\pi\) |
0.0951889 | + | 0.995459i | \(0.469654\pi\) | |||||||
\(338\) | 1.26368 | − | 1.40346i | 0.0687353 | − | 0.0763382i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −11.7812 | + | 20.4056i | −0.638923 | + | 1.10665i | ||||
\(341\) | −16.4721 | − | 3.69822i | −0.892016 | − | 0.200270i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −10.5172 | + | 7.64121i | −0.567877 | + | 0.412586i | ||||
\(344\) | 9.65959 | + | 2.05321i | 0.520810 | + | 0.110702i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0.440565 | − | 4.19169i | 0.0236849 | − | 0.225347i | ||||
\(347\) | −1.09464 | + | 10.4148i | −0.0587632 | + | 0.559094i | 0.925044 | + | 0.379861i | \(0.124028\pi\) |
−0.983807 | + | 0.179233i | \(0.942638\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 0.692728 | + | 0.147244i | 0.0370809 | + | 0.00788178i | 0.226415 | − | 0.974031i | \(-0.427300\pi\) |
−0.189334 | + | 0.981913i | \(0.560633\pi\) | |||||||
\(350\) | −0.736068 | + | 0.534785i | −0.0393445 | + | 0.0285854i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 9.08359 | + | 10.3229i | 0.484157 | + | 0.550211i | ||||
\(353\) | −6.00000 | + | 10.3923i | −0.319348 | + | 0.553127i | −0.980352 | − | 0.197256i | \(-0.936797\pi\) |
0.661004 | + | 0.750382i | \(0.270130\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.76659 | + | 6.40445i | −0.306059 | + | 0.339913i | ||||
\(356\) | 6.82621 | − | 1.45096i | 0.361789 | − | 0.0769005i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 6.09679 | − | 2.71446i | 0.322225 | − | 0.143464i | ||||
\(359\) | −1.14590 | + | 3.52671i | −0.0604782 | + | 0.186133i | −0.976731 | − | 0.214468i | \(-0.931198\pi\) |
0.916253 | + | 0.400600i | \(0.131198\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 14.7812 | − | 10.7391i | 0.777955 | − | 0.565218i | ||||
\(362\) | −2.19098 | + | 3.79489i | −0.115156 | + | 0.199455i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.92705 | + | 6.80185i | 0.205833 | + | 0.356514i | ||||
\(365\) | −11.3939 | − | 5.07287i | −0.596382 | − | 0.265526i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.3072 | + | 21.4428i | 1.00783 | + | 1.11930i | 0.992844 | + | 0.119416i | \(0.0381022\pi\) |
0.0149814 | + | 0.999888i | \(0.495231\pi\) | |||||||
\(368\) | −10.7812 | − | 7.83297i | −0.562006 | − | 0.408322i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.336881 | − | 1.03681i | 0.0175136 | − | 0.0539014i | ||||
\(371\) | 2.56082 | + | 0.544320i | 0.132951 | + | 0.0282597i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 17.4443 | + | 30.2144i | 0.903230 | + | 1.56444i | 0.823275 | + | 0.567642i | \(0.192144\pi\) |
0.0799547 | + | 0.996799i | \(0.474522\pi\) | |||||||
\(374\) | 3.18247 | − | 9.42719i | 0.164562 | − | 0.487468i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.167755 | − | 1.59609i | −0.00865133 | − | 0.0823119i | ||||
\(377\) | −7.85410 | − | 24.1724i | −0.404507 | − | 1.24494i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.80902 | − | 6.40013i | −0.452489 | − | 0.328752i | 0.338089 | − | 0.941114i | \(-0.390220\pi\) |
−0.790578 | + | 0.612362i | \(0.790220\pi\) | |||||||
\(380\) | −2.34078 | + | 1.04218i | −0.120080 | + | 0.0534629i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.92455 | − | 6.57988i | 0.303126 | − | 0.336656i | ||||
\(383\) | −0.646976 | − | 0.288052i | −0.0330590 | − | 0.0147188i | 0.390141 | − | 0.920755i | \(-0.372426\pi\) |
−0.423200 | + | 0.906037i | \(0.639093\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 3.63611 | − | 3.94678i | 0.185313 | − | 0.201147i | ||||
\(386\) | −3.76393 | −0.191579 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.656541 | − | 2.02063i | −0.0333308 | − | 0.102582i | ||||
\(389\) | −3.84258 | − | 4.26762i | −0.194827 | − | 0.216377i | 0.637814 | − | 0.770190i | \(-0.279839\pi\) |
−0.832641 | + | 0.553813i | \(0.813172\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.47772 | + | 33.0883i | −0.175876 | + | 1.67334i | ||||
\(392\) | −8.63980 | + | 1.83645i | −0.436376 | + | 0.0927545i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.640196 | − | 6.09106i | −0.0322526 | − | 0.306863i | ||||
\(395\) | −17.7984 | −0.895533 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −5.29180 | −0.265588 | −0.132794 | − | 0.991144i | \(-0.542395\pi\) | ||||
−0.132794 | + | 0.991144i | \(0.542395\pi\) | |||||||
\(398\) | 0.267834 | + | 2.54827i | 0.0134253 | + | 0.127733i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 7.32967 | − | 1.55797i | 0.366484 | − | 0.0778985i | ||||
\(401\) | 2.99860 | − | 28.5298i | 0.149743 | − | 1.42471i | −0.619121 | − | 0.785296i | \(-0.712511\pi\) |
0.768864 | − | 0.639413i | \(-0.220822\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −14.4280 | − | 16.0239i | −0.718710 | − | 0.798208i | ||||
\(404\) | −3.30244 | − | 10.1639i | −0.164302 | − | 0.505671i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −2.29180 | −0.113740 | ||||||||
\(407\) | 0.677881 | − | 5.81089i | 0.0336013 | − | 0.288035i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.25841 | + | 1.00551i | 0.111671 | + | 0.0497192i | 0.461812 | − | 0.886978i | \(-0.347200\pi\) |
−0.350141 | + | 0.936697i | \(0.613866\pi\) | |||||||
\(410\) | −1.75181 | + | 1.94558i | −0.0865156 | + | 0.0960853i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −11.7623 | + | 5.23689i | −0.579485 | + | 0.258003i | ||||
\(413\) | −7.78115 | − | 5.65334i | −0.382886 | − | 0.278183i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.73607 | − | 11.4984i | −0.183396 | − | 0.564436i | ||||
\(416\) | 1.83576 | + | 17.4661i | 0.0900056 | + | 0.856346i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.882564 | − | 0.625958i | 0.0431676 | − | 0.0306166i | ||||
\(419\) | −12.2254 | − | 21.1751i | −0.597251 | − | 1.03447i | −0.993225 | − | 0.116207i | \(-0.962926\pi\) |
0.395974 | − | 0.918262i | \(-0.370407\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 26.9055 | + | 5.71894i | 1.31129 | + | 0.278724i | 0.809937 | − | 0.586517i | \(-0.199501\pi\) |
0.501356 | + | 0.865241i | \(0.332835\pi\) | |||||||
\(422\) | 0.163119 | − | 0.502029i | 0.00794051 | − | 0.0244384i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.11803 | + | 2.26538i | 0.151425 | + | 0.110017i | ||||
\(425\) | −12.5182 | − | 13.9029i | −0.607223 | − | 0.674390i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.82206 | − | 3.48260i | −0.378536 | − | 0.168535i | ||||
\(428\) | 2.34346 | + | 4.05899i | 0.113275 | + | 0.196199i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 2.07295 | − | 3.59045i | 0.0999665 | − | 0.173147i | ||||
\(431\) | −13.8262 | + | 10.0453i | −0.665986 | + | 0.483867i | −0.868679 | − | 0.495375i | \(-0.835031\pi\) |
0.202693 | + | 0.979242i | \(0.435031\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −8.43769 | + | 25.9686i | −0.405490 | + | 1.24797i | 0.514996 | + | 0.857193i | \(0.327793\pi\) |
−0.920486 | + | 0.390776i | \(0.872207\pi\) | |||||||
\(434\) | −1.77618 | + | 0.790807i | −0.0852594 | + | 0.0379599i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −21.7630 | + | 4.62587i | −1.04226 | + | 0.221539i | ||||
\(437\) | −2.42094 | + | 2.68872i | −0.115809 | + | 0.128619i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −18.3541 | + | 31.7902i | −0.875993 | + | 1.51727i | −0.0202928 | + | 0.999794i | \(0.506460\pi\) |
−0.855701 | + | 0.517471i | \(0.826873\pi\) | |||||||
\(440\) | 7.25329 | − | 3.13068i | 0.345787 | − | 0.149250i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 10.2812 | − | 7.46969i | 0.489025 | − | 0.355297i | ||||
\(443\) | 17.2122 | + | 3.65857i | 0.817777 | + | 0.173824i | 0.597763 | − | 0.801673i | \(-0.296056\pi\) |
0.220014 | + | 0.975497i | \(0.429390\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.636596 | − | 6.05681i | 0.0301775 | − | 0.287120i | ||||
\(446\) | 0.606095 | − | 5.76661i | 0.0286994 | − | 0.273057i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −4.60532 | − | 0.978891i | −0.217581 | − | 0.0462482i | ||||
\(449\) | −21.7984 | + | 15.8374i | −1.02873 | + | 0.747415i | −0.968054 | − | 0.250742i | \(-0.919325\pi\) |
−0.0606750 | + | 0.998158i | \(0.519325\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −7.16312 | + | 12.0862i | −0.337298 | + | 0.569118i | ||||
\(452\) | −4.19756 | + | 7.27039i | −0.197437 | + | 0.341970i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.34636 | − | 2.60590i | 0.110120 | − | 0.122301i | ||||
\(455\) | 6.70432 | − | 1.42505i | 0.314304 | − | 0.0668073i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −20.9921 | + | 9.34628i | −0.981969 | + | 0.437201i | −0.833984 | − | 0.551789i | \(-0.813945\pi\) |
−0.147985 | + | 0.988990i | \(0.547279\pi\) | |||||||
\(458\) | −1.00000 | + | 3.07768i | −0.0467269 | + | 0.143811i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −10.2812 | + | 7.46969i | −0.479361 | + | 0.348276i | ||||
\(461\) | −12.1353 | + | 21.0189i | −0.565195 | + | 0.978947i | 0.431836 | + | 0.901952i | \(0.357866\pi\) |
−0.997031 | + | 0.0769948i | \(0.975468\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.6353 | − | 30.5452i | −0.819580 | − | 1.41955i | −0.905992 | − | 0.423294i | \(-0.860874\pi\) |
0.0864124 | − | 0.996259i | \(-0.472460\pi\) | |||||||
\(464\) | 17.2435 | + | 7.67731i | 0.800511 | + | 0.356410i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.77415 | + | 3.08100i | 0.128510 | + | 0.142725i | ||||
\(467\) | −12.0451 | − | 8.75127i | −0.557380 | − | 0.404960i | 0.273119 | − | 0.961980i | \(-0.411945\pi\) |
−0.830499 | + | 0.557020i | \(0.811945\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1.50000 | − | 4.61653i | 0.0692636 | − | 0.213171i | ||||
\(470\) | −0.659039 | − | 0.140083i | −0.0303992 | − | 0.00646155i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.07953 | − | 12.2621i | −0.325862 | − | 0.564409i | ||||
\(473\) | 7.11622 | − | 21.0798i | 0.327204 | − | 0.969252i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.212657 | − | 2.02330i | −0.00975738 | − | 0.0928352i | ||||
\(476\) | 4.50000 | + | 13.8496i | 0.206257 | + | 0.634794i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.809017 | + | 0.587785i | 0.0370036 | + | 0.0268847i | ||||
\(479\) | 27.9710 | − | 12.4535i | 1.27803 | − | 0.569014i | 0.348341 | − | 0.937368i | \(-0.386745\pi\) |
0.929686 | + | 0.368354i | \(0.120079\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 4.99983 | − | 5.55288i | 0.227973 | − | 0.253189i | ||||
\(482\) | 7.57493 | + | 3.37258i | 0.345029 | + | 0.153617i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 16.7693 | − | 11.6083i | 0.762241 | − | 0.527648i | ||||
\(485\) | −1.85410 | −0.0841904 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.218847 | + | 0.673542i | 0.00991691 | + | 0.0305211i | 0.955893 | − | 0.293717i | \(-0.0948922\pi\) |
−0.945976 | + | 0.324238i | \(0.894892\pi\) | |||||||
\(488\) | −8.43431 | − | 9.36725i | −0.381803 | − | 0.424035i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.387613 | + | 3.68789i | −0.0175106 | + | 0.166602i | ||||
\(491\) | −28.4545 | + | 6.04819i | −1.28413 | + | 0.272951i | −0.798916 | − | 0.601443i | \(-0.794593\pi\) |
−0.485217 | + | 0.874394i | \(0.661259\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −4.92586 | − | 46.8665i | −0.221850 | − | 2.11076i | ||||
\(494\) | 1.38197 | 0.0621776 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 16.0132 | 0.719012 | ||||||||
\(497\) | 0.556743 | + | 5.29706i | 0.0249734 | + | 0.237606i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 24.3110 | − | 5.16746i | 1.08831 | − | 0.231327i | 0.371385 | − | 0.928479i | \(-0.378883\pi\) |
0.716924 | + | 0.697152i | \(0.245550\pi\) | |||||||
\(500\) | 2.31488 | − | 22.0246i | 0.103524 | − | 0.984969i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −6.38419 | − | 7.09036i | −0.284940 | − | 0.316458i | ||||
\(503\) | 7.00000 | + | 21.5438i | 0.312115 | + | 0.960590i | 0.976926 | + | 0.213579i | \(0.0685119\pi\) |
−0.664811 | + | 0.747011i | \(0.731488\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −9.32624 | −0.415012 | ||||||||
\(506\) | 3.63611 | − | 3.94678i | 0.161645 | − | 0.175456i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 9.66859 | + | 4.30473i | 0.428974 | + | 0.190992i | ||||
\(509\) | 2.50432 | − | 2.78133i | 0.111002 | − | 0.123280i | −0.685083 | − | 0.728465i | \(-0.740234\pi\) |
0.796085 | + | 0.605185i | \(0.206901\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −7.04179 | + | 3.13521i | −0.311511 | + | 0.138693i | ||||
\(512\) | −18.0451 | − | 13.1105i | −0.797488 | − | 0.579409i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 1.50407 | + | 4.62904i | 0.0663415 | + | 0.204178i | ||||
\(515\) | 1.17449 | + | 11.1745i | 0.0517542 | + | 0.492408i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.61545 | − | 0.0412623i | −0.159007 | − | 0.00181472i | ||||
\(518\) | −0.336881 | − | 0.583495i | −0.0148017 | − | 0.0256373i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.86968 | + | 2.09786i | 0.432814 | + | 0.0919974i | ||||
\(521\) | 2.76393 | − | 8.50651i | 0.121090 | − | 0.372677i | −0.872078 | − | 0.489366i | \(-0.837228\pi\) |
0.993168 | + | 0.116689i | \(0.0372282\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.3541 | + | 8.97578i | 0.540207 | + | 0.392483i | 0.824162 | − | 0.566354i | \(-0.191647\pi\) |
−0.283955 | + | 0.958838i | \(0.591647\pi\) | |||||||
\(524\) | 15.8781 | + | 17.6344i | 0.693639 | + | 0.770364i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.37537 | − | 2.83850i | −0.277979 | − | 0.123764i | ||||
\(527\) | −19.9894 | − | 34.6226i | −0.870750 | − | 1.50818i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.52786 | − | 4.37839i | 0.109907 | − | 0.190365i | ||||
\(530\) | 1.30902 | − | 0.951057i | 0.0568601 | − | 0.0413113i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −0.489357 | + | 1.50609i | −0.0212163 | + | 0.0652971i | ||||
\(533\) | −16.3929 | + | 7.29859i | −0.710056 | + | 0.316137i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.00079 | − | 0.850394i | 0.172969 | − | 0.0367657i | ||||
\(536\) | 4.78154 | − | 5.31044i | 0.206531 | − | 0.229376i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.270510 | − | 0.468537i | 0.0116625 | − | 0.0202001i | ||||
\(539\) | 1.85410 | + | 19.8132i | 0.0798618 | + | 0.853414i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 36.8156 | − | 26.7481i | 1.58283 | − | 1.14999i | 0.669462 | − | 0.742846i | \(-0.266525\pi\) |
0.913364 | − | 0.407144i | \(-0.133475\pi\) | |||||||
\(542\) | −6.12062 | − | 1.30098i | −0.262903 | − | 0.0558818i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3.40369 | + | 32.3839i | −0.145932 | + | 1.38845i | ||||
\(545\) | −2.02957 | + | 19.3100i | −0.0869371 | + | 0.827151i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.4860 | − | 2.44143i | −0.491108 | − | 0.104388i | −0.0443001 | − | 0.999018i | \(-0.514106\pi\) |
−0.446808 | + | 0.894630i | \(0.647439\pi\) | |||||||
\(548\) | −21.3541 | + | 15.5147i | −0.912202 | + | 0.662754i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.281153 | + | 3.00444i | 0.0119884 | + | 0.128110i | ||||
\(551\) | 2.56231 | − | 4.43804i | 0.109158 | − | 0.189067i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.36044 | + | 8.17459i | −0.312998 | + | 0.347619i | ||||
\(554\) | −8.29987 | + | 1.76419i | −0.352628 | + | 0.0749533i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 9.42147 | − | 4.19471i | 0.399559 | − | 0.177895i | ||||
\(557\) | 12.5557 | − | 38.6426i | 0.532003 | − | 1.63734i | −0.218033 | − | 0.975941i | \(-0.569964\pi\) |
0.750037 | − | 0.661396i | \(-0.230036\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 22.9894 | − | 16.7027i | 0.972346 | − | 0.706451i | ||||
\(560\) | −2.54508 | + | 4.40822i | −0.107549 | + | 0.186281i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 5.58359 | + | 9.67107i | 0.235530 | + | 0.407949i | ||||
\(563\) | 7.85352 | + | 3.49661i | 0.330986 | + | 0.147365i | 0.565500 | − | 0.824748i | \(-0.308683\pi\) |
−0.234514 | + | 0.972113i | \(0.575350\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.90221 | + | 5.44446i | 0.206238 | + | 0.229050i | ||||
\(566\) | −2.38197 | − | 1.73060i | −0.100121 | − | 0.0727425i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.42299 | + | 7.45718i | −0.101666 | + | 0.312896i | ||||
\(569\) | 11.5614 | + | 2.45745i | 0.484678 | + | 0.103021i | 0.443769 | − | 0.896141i | \(-0.353641\pi\) |
0.0409093 | + | 0.999163i | \(0.486975\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.04508 | − | 1.81014i | −0.0437354 | − | 0.0757520i | 0.843329 | − | 0.537398i | \(-0.180593\pi\) |
−0.887064 | + | 0.461646i | \(0.847259\pi\) | |||||||
\(572\) | 26.0474 | + | 0.297274i | 1.08910 | + | 0.0124296i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.169131 | + | 1.60917i | 0.00705938 | + | 0.0671655i | ||||
\(575\) | −3.11803 | − | 9.59632i | −0.130031 | − | 0.400194i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −14.7984 | − | 10.7516i | −0.616064 | − | 0.447597i | 0.235480 | − | 0.971879i | \(-0.424334\pi\) |
−0.851545 | + | 0.524282i | \(0.824334\pi\) | |||||||
\(578\) | 15.5932 | − | 6.94254i | 0.648592 | − | 0.288772i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 12.0444 | − | 13.3766i | 0.500114 | − | 0.555433i | ||||
\(581\) | −6.82614 | − | 3.03919i | −0.283196 | − | 0.126087i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 5.88335 | − | 6.38603i | 0.243663 | − | 0.264482i | ||||
\(584\) | −11.3475 | −0.469564 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −1.13932 | − | 3.50647i | −0.0470649 | − | 0.144851i | ||||
\(587\) | −25.5103 | − | 28.3321i | −1.05292 | − | 1.16939i | −0.985151 | − | 0.171691i | \(-0.945077\pi\) |
−0.0677737 | − | 0.997701i | \(-0.521590\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.454440 | − | 4.32371i | 0.0187249 | − | 0.178155i | ||||
\(590\) | −5.81438 | + | 1.23588i | −0.239374 | + | 0.0508805i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.580044 | + | 5.51875i | 0.0238397 | + | 0.226819i | ||||
\(593\) | −15.0344 | −0.617391 | −0.308695 | − | 0.951161i | \(-0.599892\pi\) | ||||
−0.308695 | + | 0.951161i | \(0.599892\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.7082 | 0.520986 | ||||||||
\(596\) | −0.0457515 | − | 0.435296i | −0.00187405 | − | 0.0178304i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 6.70432 | − | 1.42505i | 0.274160 | − | 0.0582745i | ||||
\(599\) | −1.94971 | + | 18.5503i | −0.0796632 | + | 0.757945i | 0.879654 | + | 0.475614i | \(0.157774\pi\) |
−0.959317 | + | 0.282330i | \(0.908893\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 19.3302 | + | 21.4684i | 0.788496 | + | 0.875713i | 0.994703 | − | 0.102795i | \(-0.0327787\pi\) |
−0.206207 | + | 0.978508i | \(0.566112\pi\) | |||||||
\(602\) | −0.791796 | − | 2.43690i | −0.0322712 | − | 0.0993205i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −35.1246 | −1.42920 | ||||||||
\(605\) | −5.11224 | − | 17.0484i | −0.207842 | − | 0.693115i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 3.25433 | + | 1.44892i | 0.132089 | + | 0.0588099i | 0.471717 | − | 0.881750i | \(-0.343634\pi\) |
−0.339628 | + | 0.940560i | \(0.610301\pi\) | |||||||
\(608\) | −2.36940 | + | 2.63149i | −0.0960920 | + | 0.106721i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −4.83430 | + | 2.15237i | −0.195735 | + | 0.0871468i | ||||
\(611\) | −3.73607 | − | 2.71441i | −0.151145 | − | 0.109813i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −8.56231 | − | 26.3521i | −0.345828 | − | 1.06435i | −0.961139 | − | 0.276065i | \(-0.910969\pi\) |
0.615311 | − | 0.788285i | \(-0.289031\pi\) | |||||||
\(614\) | 0.757750 | + | 7.20951i | 0.0305803 | + | 0.290952i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.56168 | − | 4.62603i | 0.0629217 | − | 0.186388i | ||||
\(617\) | −5.59017 | − | 9.68246i | −0.225052 | − | 0.389801i | 0.731283 | − | 0.682074i | \(-0.238922\pi\) |
−0.956335 | + | 0.292273i | \(0.905588\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 15.7723 | + | 3.35250i | 0.633940 | + | 0.134748i | 0.513663 | − | 0.857992i | \(-0.328288\pi\) |
0.120277 | + | 0.992740i | \(0.461622\pi\) | |||||||
\(620\) | 4.71885 | − | 14.5231i | 0.189513 | − | 0.583262i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.07295 | − | 4.41226i | −0.243503 | − | 0.176915i | ||||
\(623\) | −2.51856 | − | 2.79715i | −0.100904 | − | 0.112065i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −6.77523 | − | 3.01652i | −0.271009 | − | 0.120661i | ||||
\(626\) | 2.19098 | + | 3.79489i | 0.0875693 | + | 0.151674i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.12461 | − | 3.67994i | 0.0847812 | − | 0.146845i | ||||
\(629\) | 11.2082 | − | 8.14324i | 0.446900 | − | 0.324692i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.95492 | + | 30.6381i | −0.396299 | + | 1.21968i | 0.531646 | + | 0.846966i | \(0.321574\pi\) |
−0.927945 | + | 0.372716i | \(0.878426\pi\) | |||||||
\(632\) | −14.7935 | + | 6.58649i | −0.588454 | + | 0.261996i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −10.9023 | + | 2.31736i | −0.432987 | + | 0.0920342i | ||||
\(635\) | 6.18014 | − | 6.86374i | 0.245251 | − | 0.272379i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −12.7082 | + | 22.0113i | −0.503517 | + | 0.872118i | ||||
\(638\) | −3.87539 | + | 6.53888i | −0.153428 | + | 0.258877i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −13.2082 | + | 9.59632i | −0.522100 | + | 0.379328i | ||||
\(641\) | −13.6059 | − | 2.89202i | −0.537399 | − | 0.114228i | −0.0687865 | − | 0.997631i | \(-0.521913\pi\) |
−0.468613 | + | 0.883404i | \(0.655246\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.47865 | + | 14.0684i | −0.0583122 | + | 0.554804i | 0.925895 | + | 0.377782i | \(0.123313\pi\) |
−0.984207 | + | 0.177022i | \(0.943354\pi\) | |||||||
\(644\) | −0.820977 | + | 7.81108i | −0.0323510 | + | 0.307800i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.50631 | + | 0.532733i | 0.0986096 | + | 0.0209601i | ||||
\(647\) | 12.9164 | − | 9.38432i | 0.507796 | − | 0.368936i | −0.304191 | − | 0.952611i | \(-0.598386\pi\) |
0.811987 | + | 0.583676i | \(0.198386\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −29.2877 | + | 12.6412i | −1.14964 | + | 0.496212i | ||||
\(650\) | −1.92705 | + | 3.33775i | −0.0755852 | + | 0.130917i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 14.7066 | − | 16.3334i | 0.575956 | − | 0.639664i | ||||
\(653\) | −3.30806 | + | 0.703150i | −0.129454 | + | 0.0275164i | −0.272183 | − | 0.962245i | \(-0.587746\pi\) |
0.142729 | + | 0.989762i | \(0.454412\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.9179 | − | 8.42279i | 0.739183 | − | 0.329105i | ||||
\(656\) | 4.11803 | − | 12.6740i | 0.160782 | − | 0.494837i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.336881 | + | 0.244758i | −0.0131330 | + | 0.00954168i | ||||
\(659\) | −0.437694 | + | 0.758108i | −0.0170501 | + | 0.0295317i | −0.874425 | − | 0.485161i | \(-0.838761\pi\) |
0.857374 | + | 0.514693i | \(0.172094\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −8.21885 | − | 14.2355i | −0.319676 | − | 0.553695i | 0.660744 | − | 0.750611i | \(-0.270241\pi\) |
−0.980420 | + | 0.196916i | \(0.936907\pi\) | |||||||
\(662\) | 1.14865 | + | 0.511412i | 0.0446436 | + | 0.0198766i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −7.36044 | − | 8.17459i | −0.285640 | − | 0.317236i | ||||
\(665\) | 1.11803 | + | 0.812299i | 0.0433555 | + | 0.0314996i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 7.85410 | − | 24.1724i | 0.304112 | − | 0.935961i | ||||
\(668\) | 30.8934 | + | 6.56660i | 1.19530 | + | 0.254069i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1.50000 | − | 2.59808i | −0.0579501 | − | 0.100372i | ||||
\(671\) | −23.1634 | + | 16.4286i | −0.894214 | + | 0.634220i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.86404 | + | 17.7351i | 0.0718533 | + | 0.683639i | 0.969861 | + | 0.243659i | \(0.0783478\pi\) |
−0.898008 | + | 0.439980i | \(0.854986\pi\) | |||||||
\(674\) | 0.493422 | + | 1.51860i | 0.0190059 | + | 0.0584942i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.41641 | + | 5.38834i | 0.285246 | + | 0.207244i | ||||
\(677\) | −20.5293 | + | 9.14024i | −0.789006 | + | 0.351288i | −0.761360 | − | 0.648330i | \(-0.775468\pi\) |
−0.0276461 | + | 0.999618i | \(0.508801\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.766755 | + | 0.851568i | −0.0294254 | + | 0.0326802i | ||||
\(680\) | 17.0908 | + | 7.60931i | 0.655402 | + | 0.291804i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.747186 | + | 6.40499i | −0.0286112 | + | 0.245260i | ||||
\(683\) | 49.0689 | 1.87757 | 0.938784 | − | 0.344505i | \(-0.111953\pi\) | ||||
0.938784 | + | 0.344505i | \(0.111953\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 7.11803 | + | 21.9071i | 0.271966 | + | 0.837026i | ||||
\(686\) | 3.32261 | + | 3.69013i | 0.126858 | + | 0.140890i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.20590 | + | 20.9877i | −0.0840991 | + | 0.800149i | ||||
\(689\) | 10.8478 | − | 2.30578i | 0.413269 | − | 0.0878431i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −3.41311 | − | 32.4736i | −0.129841 | − | 1.23535i | −0.844375 | − | 0.535753i | \(-0.820028\pi\) |
0.714534 | − | 0.699601i | \(-0.246639\pi\) | |||||||
\(692\) | 20.4590 | 0.777734 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 4.00000 | 0.151838 | ||||||||
\(695\) | −0.940756 | − | 8.95070i | −0.0356849 | − | 0.339519i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −32.5435 | + | 6.91733i | −1.23267 | + | 0.262012i | ||||
\(698\) | 0.0282760 | − | 0.269028i | 0.00107026 | − | 0.0101829i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.95515 | − | 3.28203i | −0.111694 | − | 0.124049i | ||||
\(701\) | 3.15248 | + | 9.70232i | 0.119067 | + | 0.366452i | 0.992774 | − | 0.120002i | \(-0.0382902\pi\) |
−0.873706 | + | 0.486454i | \(0.838290\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.50658 | 0.0568217 | ||||||||
\(704\) | −10.5805 | + | 11.4845i | −0.398766 | + | 0.432837i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.18732 | + | 1.86431i | 0.157592 | + | 0.0701644i | ||||
\(707\) | −3.85682 | + | 4.28344i | −0.145051 | + | 0.161095i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −36.7380 | + | 16.3568i | −1.37973 | + | 0.614293i | −0.956500 | − | 0.291731i | \(-0.905769\pi\) |
−0.423225 | + | 0.906024i | \(0.639102\pi\) | |||||||
\(710\) | 2.66312 | + | 1.93487i | 0.0999451 | + | 0.0726143i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.71227 | − | 5.26982i | −0.0641700 | − | 0.197495i | ||||
\(713\) | −2.25387 | − | 21.4442i | −0.0844083 | − | 0.803091i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.27099 | − | 21.5383i | 0.271920 | − | 0.805487i | ||||
\(716\) | 16.1976 | + | 28.0550i | 0.605331 | + | 1.04846i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 1.38546 | + | 0.294488i | 0.0517048 | + | 0.0109902i | ||||
\(719\) | −14.3647 | + | 44.2101i | −0.535715 | + | 1.64876i | 0.206385 | + | 0.978471i | \(0.433830\pi\) |
−0.742100 | + | 0.670289i | \(0.766170\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 5.61803 | + | 4.08174i | 0.209227 | + | 0.152012i | ||||
\(722\) | −4.66967 | − | 5.18620i | −0.173787 | − | 0.193010i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −19.4316 | − | 8.65150i | −0.722169 | − | 0.321530i | ||||
\(725\) | 7.14590 | + | 12.3771i | 0.265392 | + | 0.459672i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.92705 | − | 13.7301i | 0.293998 | − | 0.509220i | −0.680753 | − | 0.732513i | \(-0.738347\pi\) |
0.974751 | + | 0.223293i | \(0.0716807\pi\) | |||||||
\(728\) | 5.04508 | − | 3.66547i | 0.186983 | − | 0.135851i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.47214 | + | 4.53077i | −0.0544862 | + | 0.167691i | ||||
\(731\) | 48.1319 | − | 21.4297i | 1.78022 | − | 0.792606i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 48.5129 | − | 10.3117i | 1.79187 | − | 0.380873i | 0.812499 | − | 0.582962i | \(-0.198106\pi\) |
0.979367 | + | 0.202089i | \(0.0647731\pi\) | |||||||
\(734\) | 7.37468 | − | 8.19041i | 0.272204 | − | 0.302314i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.78115 | + | 15.2094i | −0.323678 | + | 0.560626i | ||||
\(737\) | −10.6353 | − | 12.0862i | −0.391755 | − | 0.445202i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.42705 | + | 1.76336i | −0.0892805 | + | 0.0648661i | −0.631530 | − | 0.775351i | \(-0.717573\pi\) |
0.542250 | + | 0.840218i | \(0.317573\pi\) | |||||||
\(740\) | 5.17616 | + | 1.10023i | 0.190279 | + | 0.0404451i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.104528 | − | 0.994522i | 0.00383736 | − | 0.0365100i | ||||
\(743\) | −0.743350 | + | 7.07250i | −0.0272709 | + | 0.259465i | 0.972389 | + | 0.233368i | \(0.0749746\pi\) |
−0.999659 | + | 0.0260971i | \(0.991692\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −0.373619 | − | 0.0794152i | −0.0136883 | − | 0.00290955i | ||||
\(746\) | 10.7812 | − | 7.83297i | 0.394726 | − | 0.286785i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 47.1246 | + | 10.5801i | 1.72305 | + | 0.386848i | ||||
\(749\) | 1.26393 | − | 2.18919i | 0.0461831 | − | 0.0799914i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.2924 | − | 16.9839i | 0.558027 | − | 0.619752i | −0.396443 | − | 0.918059i | \(-0.629756\pi\) |
0.954470 | + | 0.298308i | \(0.0964222\pi\) | |||||||
\(752\) | 3.35462 | − | 0.713046i | 0.122330 | − | 0.0260021i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −8.86889 | + | 3.94868i | −0.322986 | + | 0.143803i | ||||
\(755\) | −9.47214 | + | 29.1522i | −0.344726 | + | 1.06096i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −4.04508 | + | 2.93893i | −0.147021 | + | 0.106817i | −0.658864 | − | 0.752262i | \(-0.728963\pi\) |
0.511843 | + | 0.859079i | \(0.328963\pi\) | |||||||
\(758\) | −2.07953 | + | 3.60185i | −0.0755318 | + | 0.130825i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.01722 | + | 1.76188i | 0.0368985 | + | 0.0639100i | ||||
\(761\) | −39.0159 | − | 17.3710i | −1.41432 | − | 0.629698i | −0.449665 | − | 0.893197i | \(-0.648457\pi\) |
−0.964660 | + | 0.263499i | \(0.915123\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 8.02957 | + | 8.91774i | 0.290690 | + | 0.322844i | ||||
\(764\) | 34.7705 | + | 25.2623i | 1.25795 | + | 0.913956i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.0835921 | + | 0.257270i | −0.00302031 | + | 0.00929555i | ||||
\(767\) | −39.8523 | − | 8.47087i | −1.43898 | − | 0.305865i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −1.75329 | − | 3.03679i | −0.0632252 | − | 0.109509i | 0.832680 | − | 0.553754i | \(-0.186805\pi\) |
−0.895905 | + | 0.444245i | \(0.853472\pi\) | |||||||
\(770\) | −1.64445 | − | 1.22368i | −0.0592620 | − | 0.0440984i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −1.90979 | − | 18.1704i | −0.0687348 | − | 0.653968i | ||||
\(773\) | −1.48936 | − | 4.58377i | −0.0535684 | − | 0.164867i | 0.920693 | − | 0.390287i | \(-0.127624\pi\) |
−0.974262 | + | 0.225421i | \(0.927624\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 9.80902 | + | 7.12667i | 0.352350 | + | 0.255997i | ||||
\(776\) | −1.54108 | + | 0.686131i | −0.0553214 | + | 0.0246307i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.46773 | + | 1.63008i | −0.0526208 | + | 0.0584414i | ||||
\(779\) | −3.30524 | − | 1.47159i | −0.118422 | − | 0.0527251i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 16.0549 | + | 7.36876i | 0.574488 | + | 0.263675i | ||||
\(782\) | 12.7082 | 0.454444 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −5.83282 | − | 17.9516i | −0.208315 | − | 0.641127i | ||||
\(785\) | −2.48127 | − | 2.75573i | −0.0885604 | − | 0.0983563i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −0.387613 | + | 3.68789i | −0.0138169 | + | 0.131459i | −0.999256 | − | 0.0385704i | \(-0.987720\pi\) |
0.985439 | + | 0.170029i | \(0.0543863\pi\) | |||||||
\(788\) | 29.0798 | − | 6.18111i | 1.03593 | − | 0.220193i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0.710624 | + | 6.76113i | 0.0252829 | + | 0.240550i | ||||
\(791\) | 4.52786 | 0.160992 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −36.2705 | −1.28800 | ||||||||
\(794\) | 0.211282 | + | 2.01021i | 0.00749812 | + | 0.0713398i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.1659 | + | 2.58594i | −0.431209 | + | 0.0916563i | ||||
\(797\) | −5.07392 | + | 48.2751i | −0.179727 | + | 1.70999i | 0.418128 | + | 0.908388i | \(0.362686\pi\) |
−0.597855 | + | 0.801604i | \(0.703980\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −5.72930 | − | 6.36303i | −0.202688 | − | 0.225108i | ||||
\(800\) | −3.05166 | − | 9.39205i | −0.107893 | − | 0.332059i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −10.9574 | −0.386920 | ||||||||
\(803\) | −2.96227 | + | 25.3930i | −0.104536 | + | 0.896100i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.26153 | + | 2.78781i | 0.220690 | + | 0.0982575i | ||||
\(806\) | −5.51101 | + | 6.12059i | −0.194117 | + | 0.215589i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −7.75170 | + | 3.45128i | −0.272704 | + | 0.121416i | ||||
\(809\) | 12.8713 | + | 9.35156i | 0.452532 | + | 0.328783i | 0.790594 | − | 0.612340i | \(-0.209772\pi\) |
−0.338063 | + | 0.941124i | \(0.609772\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 5.07953 | + | 15.6332i | 0.178366 | + | 0.548955i | 0.999771 | − | 0.0213905i | \(-0.00680931\pi\) |
−0.821405 | + | 0.570346i | \(0.806809\pi\) | |||||||
\(812\) | −1.16284 | − | 11.0637i | −0.0408076 | − | 0.388259i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.23447 | − | 0.0255015i | −0.0783182 | − | 0.000893828i | ||||
\(815\) | −9.59017 | − | 16.6107i | −0.335929 | − | 0.581846i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 5.60429 | + | 1.19123i | 0.196069 | + | 0.0416758i | ||||
\(818\) | 0.291796 | − | 0.898056i | 0.0102024 | − | 0.0313998i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −10.2812 | − | 7.46969i | −0.359033 | − | 0.260853i | ||||
\(821\) | 5.75235 | + | 6.38863i | 0.200758 | + | 0.222965i | 0.835114 | − | 0.550076i | \(-0.185401\pi\) |
−0.634356 | + | 0.773041i | \(0.718735\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 23.5995 | + | 10.5072i | 0.822625 | + | 0.366256i | 0.774491 | − | 0.632585i | \(-0.218006\pi\) |
0.0481339 | + | 0.998841i | \(0.484673\pi\) | |||||||
\(824\) | 5.11146 | + | 8.85330i | 0.178066 | + | 0.308419i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.83688 | + | 3.18157i | −0.0639133 | + | 0.110701i | ||||
\(827\) | 16.7082 | − | 12.1392i | 0.581001 | − | 0.422122i | −0.258084 | − | 0.966123i | \(-0.583091\pi\) |
0.839085 | + | 0.544000i | \(0.183091\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.1008 | − | 40.3202i | 0.455010 | − | 1.40038i | −0.416113 | − | 0.909313i | \(-0.636608\pi\) |
0.871123 | − | 0.491064i | \(-0.163392\pi\) | |||||||
\(830\) | −4.21878 | + | 1.87832i | −0.146436 | + | 0.0651976i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −19.5084 | + | 4.14665i | −0.676334 | + | 0.143759i | ||||
\(833\) | −31.5325 | + | 35.0204i | −1.09254 | + | 1.21339i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 13.7812 | − | 23.8697i | 0.476916 | − | 0.826044i | ||||
\(836\) | 3.46962 | + | 3.94298i | 0.119999 | + | 0.136371i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −7.55573 | + | 5.48956i | −0.261008 | + | 0.189634i | ||||
\(839\) | 35.0498 | + | 7.45006i | 1.21005 | + | 0.257205i | 0.768393 | − | 0.639978i | \(-0.221057\pi\) |
0.441660 | + | 0.897183i | \(0.354390\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −0.731699 | + | 6.96165i | −0.0252310 | + | 0.240057i | ||||
\(842\) | 1.09824 | − | 10.4490i | 0.0378477 | − | 0.360097i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 2.50631 | + | 0.532733i | 0.0862709 | + | 0.0183374i | ||||
\(845\) | 6.47214 | − | 4.70228i | 0.222648 | − | 0.161763i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.94427 | − | 4.70228i | −0.341689 | − | 0.161572i | ||||
\(848\) | −4.11803 | + | 7.13264i | −0.141414 | + | 0.244936i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.78154 | + | 5.31044i | −0.164005 | + | 0.182146i | ||||
\(851\) | 7.30885 | − | 1.55354i | 0.250544 | − | 0.0532548i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.97982 | + | 0.881473i | −0.0677878 | + | 0.0301811i | −0.440351 | − | 0.897826i | \(-0.645146\pi\) |
0.372563 | + | 0.928007i | \(0.378479\pi\) | |||||||
\(854\) | −1.01064 | + | 3.11044i | −0.0345835 | + | 0.106437i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 3.01064 | − | 2.18736i | 0.102902 | − | 0.0747624i | ||||
\(857\) | 16.1180 | − | 27.9173i | 0.550582 | − | 0.953635i | −0.447651 | − | 0.894208i | \(-0.647739\pi\) |
0.998233 | − | 0.0594269i | \(-0.0189273\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 3.79180 | + | 6.56758i | 0.129374 | + | 0.224083i | 0.923434 | − | 0.383756i | \(-0.125370\pi\) |
−0.794060 | + | 0.607839i | \(0.792036\pi\) | |||||||
\(860\) | 18.3847 | + | 8.18542i | 0.626915 | + | 0.279120i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.36799 | + | 4.85115i | 0.148774 | + | 0.165231i | ||||
\(863\) | 29.0344 | + | 21.0948i | 0.988344 | + | 0.718074i | 0.959558 | − | 0.281512i | \(-0.0908358\pi\) |
0.0287861 | + | 0.999586i | \(0.490836\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.51722 | − | 16.9803i | 0.187591 | − | 0.577346i | ||||
\(866\) | 10.2017 | + | 2.16843i | 0.346666 | + | 0.0736862i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.71885 | − | 8.17328i | −0.160168 | − | 0.277419i | ||||
\(869\) | 10.8771 | + | 34.8237i | 0.368981 | + | 1.18131i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −2.14935 | − | 20.4497i | −0.0728278 | − | 0.692910i | ||||
\(872\) | 5.45898 | + | 16.8010i | 0.184864 | + | 0.568954i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 1.11803 | + | 0.812299i | 0.0378181 | + | 0.0274764i | ||||
\(875\) | −10.9116 | + | 4.85817i | −0.368881 | + | 0.164236i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −26.8025 | + | 29.7672i | −0.905057 | + | 1.00517i | 0.0948966 | + | 0.995487i | \(0.469748\pi\) |
−0.999953 | + | 0.00968002i | \(0.996919\pi\) | |||||||
\(878\) | 12.8091 | + | 5.70297i | 0.432286 | + | 0.192466i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 8.27369 | + | 14.7158i | 0.278906 | + | 0.496069i | ||||
\(881\) | −30.7984 | −1.03762 | −0.518812 | − | 0.854888i | \(-0.673625\pi\) | ||||
−0.518812 | + | 0.854888i | \(0.673625\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 5.85410 | + | 18.0171i | 0.197006 | + | 0.606323i | 0.999947 | + | 0.0102644i | \(0.00326732\pi\) |
−0.802941 | + | 0.596058i | \(0.796733\pi\) | |||||||
\(884\) | 41.2766 | + | 45.8423i | 1.38828 | + | 1.54184i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0.702573 | − | 6.68454i | 0.0236034 | − | 0.224571i | ||||
\(887\) | 29.8191 | − | 6.33825i | 1.00123 | − | 0.212818i | 0.321996 | − | 0.946741i | \(-0.395646\pi\) |
0.679232 | + | 0.733924i | \(0.262313\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.596670 | − | 5.67693i | −0.0200117 | − | 0.190398i | ||||
\(890\) | −2.32624 | −0.0779757 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 28.1459 | 0.942394 | ||||||||
\(893\) | −0.0973282 | − | 0.926016i | −0.00325696 | − | 0.0309879i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 27.6527 | − | 5.87777i | 0.924329 | − | 0.196472i | ||||
\(896\) | −1.05471 | + | 10.0349i | −0.0352354 | + | 0.335242i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.88656 | + | 7.64829i | 0.229807 | + | 0.255227i | ||||
\(899\) | 9.43769 | + | 29.0462i | 0.314765 | + | 0.968746i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 20.5623 | 0.685030 | ||||||||
\(902\) | 4.87723 | + | 2.23852i | 0.162394 | + | 0.0745346i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 6.08936 | + | 2.71116i | 0.202529 | + | 0.0901717i | ||||
\(905\) | −12.4206 | + | 13.7945i | −0.412875 | + | 0.458544i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 28.6809 | − | 12.7695i | 0.952333 | − | 0.424006i | 0.129050 | − | 0.991638i | \(-0.458807\pi\) |
0.823282 | + | 0.567632i | \(0.192140\pi\) | |||||||
\(908\) | 13.7705 | + | 10.0049i | 0.456990 | + | 0.332023i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −0.809017 | − | 2.48990i | −0.0268187 | − | 0.0825393i | ||||
\(911\) | −1.10766 | − | 10.5387i | −0.0366985 | − | 0.349163i | −0.997428 | − | 0.0716760i | \(-0.977165\pi\) |
0.960729 | − | 0.277487i | \(-0.0895014\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −20.2142 | + | 14.3369i | −0.668993 | + | 0.474482i | ||||
\(914\) | 4.38854 | + | 7.60118i | 0.145160 | + | 0.251425i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15.3649 | − | 3.26592i | −0.507672 | − | 0.107909i | ||||
\(917\) | 3.95492 | − | 12.1720i | 0.130603 | − | 0.401954i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 4.57295 | + | 3.32244i | 0.150848 | + | 0.109597i | 0.660649 | − | 0.750695i | \(-0.270281\pi\) |
−0.509801 | + | 0.860292i | \(0.670281\pi\) | |||||||
\(920\) | 6.75164 | + | 7.49846i | 0.222595 | + | 0.247217i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 8.46903 | + | 3.77066i | 0.278913 | + | 0.124180i | ||||
\(923\) | 11.2812 | + | 19.5395i | 0.371324 | + | 0.643151i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −2.10081 | + | 3.63871i | −0.0690743 | + | 0.119640i | ||||
\(926\) | −10.8992 | + | 7.91872i | −0.358170 | + | 0.260225i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 7.68692 | − | 23.6579i | 0.252335 | − | 0.776609i | ||||
\(929\) | −0.646976 | + | 0.288052i | −0.0212266 | + | 0.00945070i | −0.417322 | − | 0.908758i | \(-0.637031\pi\) |
0.396096 | + | 0.918209i | \(0.370365\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.01263 | + | 1.06547i | −0.164282 | + | 0.0349193i | ||||
\(932\) | −13.4660 | + | 14.9555i | −0.441093 | + | 0.489884i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −2.84346 | + | 4.92502i | −0.0930408 | + | 0.161151i | ||||
\(935\) | 21.4894 | − | 36.2587i | 0.702777 | − | 1.18578i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −8.37132 | + | 6.08212i | −0.273479 | + | 0.198694i | −0.716068 | − | 0.698030i | \(-0.754060\pi\) |
0.442589 | + | 0.896725i | \(0.354060\pi\) | |||||||
\(938\) | −1.81359 | − | 0.385489i | −0.0592157 | − | 0.0125867i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0.341861 | − | 3.25259i | 0.0111503 | − | 0.106088i | ||||
\(941\) | 4.33279 | − | 41.2238i | 0.141245 | − | 1.34386i | −0.662580 | − | 0.748991i | \(-0.730539\pi\) |
0.803825 | − | 0.594866i | \(-0.202795\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.5521 | − | 3.73082i | −0.571577 | − | 0.121492i | ||||
\(944\) | 24.4787 | − | 17.7848i | 0.796714 | − | 0.578847i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −8.29180 | − | 1.86162i | −0.269590 | − | 0.0605266i | ||||
\(947\) | 20.6976 | − | 35.8492i | 0.672580 | − | 1.16494i | −0.304589 | − | 0.952484i | \(-0.598519\pi\) |
0.977170 | − | 0.212460i | \(-0.0681474\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −21.8488 | + | 24.2655i | −0.709241 | + | 0.787692i | ||||
\(950\) | −0.760106 | + | 0.161566i | −0.0246611 | + | 0.00524188i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 10.5627 | − | 4.70281i | 0.342339 | − | 0.152419i | ||||
\(953\) | −13.1803 | + | 40.5649i | −0.426953 | + | 1.31403i | 0.474159 | + | 0.880439i | \(0.342752\pi\) |
−0.901112 | + | 0.433587i | \(0.857248\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 30.3435 | − | 22.0458i | 0.981891 | − | 0.713386i | ||||
\(956\) | −2.42705 | + | 4.20378i | −0.0784964 | + | 0.135960i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.84752 | − | 10.1282i | −0.188925 | − | 0.327228i | ||||
\(959\) | 13.0053 | + | 5.79033i | 0.419963 | + | 0.186980i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −3.40599 | − | 3.78273i | −0.109871 | − | 0.122024i | ||||
\(962\) | −2.30902 | − | 1.67760i | −0.0744457 | − | 0.0540880i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −12.4377 | + | 38.2793i | −0.400591 | + | 1.23289i | ||||
\(965\) | −15.5959 | − | 3.31500i | −0.502048 | − | 0.106714i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 10.4615 | + | 18.1198i | 0.336419 | + | 0.582695i | 0.983756 | − | 0.179509i | \(-0.0574509\pi\) |
−0.647337 | + | 0.762204i | \(0.724118\pi\) | |||||||
\(968\) | −10.5581 | − | 12.2783i | −0.339350 | − | 0.394639i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.0740275 | + | 0.704324i | 0.00237688 | + | 0.0226145i | ||||
\(971\) | 12.9787 | + | 39.9444i | 0.416507 | + | 1.28188i | 0.910896 | + | 0.412635i | \(0.135392\pi\) |
−0.494389 | + | 0.869240i | \(0.664608\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4.50000 | − | 3.26944i | −0.144263 | − | 0.104813i | ||||
\(974\) | 0.247123 | − | 0.110026i | 0.00791833 | − | 0.00352547i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 18.0238 | − | 20.0175i | 0.576928 | − | 0.640743i | ||||
\(977\) | −44.3953 | − | 19.7661i | −1.42033 | − | 0.632373i | −0.454313 | − | 0.890842i | \(-0.650115\pi\) |
−0.966020 | + | 0.258469i | \(0.916782\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −12.2396 | + | 2.45596i | −0.391179 | + | 0.0784927i | ||||
\(980\) | −18.0000 | −0.574989 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 3.43363 | + | 10.5676i | 0.109571 | + | 0.337226i | ||||
\(983\) | 29.3672 | + | 32.6155i | 0.936667 | + | 1.04027i | 0.999108 | + | 0.0422256i | \(0.0134448\pi\) |
−0.0624409 | + | 0.998049i | \(0.519888\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.71191 | − | 25.8021i | 0.0864088 | − | 0.822125i | ||||
\(986\) | −17.6067 | + | 3.74241i | −0.560710 | + | 0.119183i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.701198 | + | 6.67146i | 0.0223081 | + | 0.212247i | ||||
\(989\) | 28.4164 | 0.903589 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −38.7426 | −1.23070 | −0.615350 | − | 0.788254i | \(-0.710985\pi\) | ||||
−0.615350 | + | 0.788254i | \(0.710985\pi\) | |||||||
\(992\) | −2.20590 | − | 20.9877i | −0.0700373 | − | 0.666361i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.98998 | − | 0.422984i | 0.0631185 | − | 0.0134162i | ||||
\(995\) | −1.13456 | + | 10.7946i | −0.0359681 | + | 0.342213i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −30.6451 | − | 34.0348i | −0.970540 | − | 1.07789i | −0.996934 | − | 0.0782421i | \(-0.975069\pi\) |
0.0263945 | − | 0.999652i | \(-0.491597\pi\) | |||||||
\(998\) | −2.93363 | − | 9.02878i | −0.0928624 | − | 0.285801i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))