Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(647,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.647");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.k (of order \(6\), degree \(2\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 23 x^{14} - 8 x^{13} - 131 x^{12} + 380 x^{11} - 289 x^{10} - 880 x^{9} + \cdots + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 971.1 | ||
Root | \(1.71298 + 0.256290i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.971 |
Dual form | 1134.2.k.a.647.1 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.866025 | − | 0.500000i | −0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | −1.80966 | + | 3.13442i | −0.809304 | + | 1.40175i | 0.104043 | + | 0.994573i | \(0.466822\pi\) |
−0.913347 | + | 0.407182i | \(0.866511\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.14611 | − | 1.54733i | 0.811152 | − | 0.584835i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.13442 | − | 1.80966i | 0.991190 | − | 0.572264i | ||||
\(11\) | 1.73534 | − | 1.00190i | 0.523224 | − | 0.302083i | −0.215029 | − | 0.976608i | \(-0.568985\pi\) |
0.738253 | + | 0.674524i | \(0.235651\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | − | 3.40874i | − | 0.945415i | −0.881219 | − | 0.472708i | \(-0.843277\pi\) | ||
0.881219 | − | 0.472708i | \(-0.156723\pi\) | |||||||
\(14\) | −2.63225 | + | 0.266972i | −0.703498 | + | 0.0713513i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.08709 | − | 5.34700i | −0.748730 | − | 1.29684i | −0.948432 | − | 0.316981i | \(-0.897331\pi\) |
0.199702 | − | 0.979857i | \(-0.436002\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.877353 | + | 0.506540i | 0.201279 | + | 0.116208i | 0.597252 | − | 0.802054i | \(-0.296259\pi\) |
−0.395973 | + | 0.918262i | \(0.629593\pi\) | |||||||
\(20\) | −3.61932 | −0.809304 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.00379 | −0.427210 | ||||||||
\(23\) | 2.62232 | + | 1.51400i | 0.546791 | + | 0.315690i | 0.747827 | − | 0.663894i | \(-0.231097\pi\) |
−0.201035 | + | 0.979584i | \(0.564431\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.04972 | − | 7.01433i | −0.809945 | − | 1.40287i | ||||
\(26\) | −1.70437 | + | 2.95206i | −0.334255 | + | 0.578946i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41308 | + | 1.08492i | 0.456029 | + | 0.205030i | ||||
\(29\) | 5.82616i | 1.08189i | 0.841058 | + | 0.540945i | \(0.181933\pi\) | ||||
−0.841058 | + | 0.540945i | \(0.818067\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.787812 | + | 0.454844i | −0.141495 | + | 0.0816923i | −0.569076 | − | 0.822285i | \(-0.692699\pi\) |
0.427581 | + | 0.903977i | \(0.359366\pi\) | |||||||
\(32\) | 0.866025 | − | 0.500000i | 0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.17418i | 1.05886i | ||||||||
\(35\) | 0.966257 | + | 9.52693i | 0.163327 | + | 1.61035i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.66825 | − | 6.35359i | 0.603056 | − | 1.04452i | −0.389299 | − | 0.921111i | \(-0.627283\pi\) |
0.992355 | − | 0.123413i | \(-0.0393839\pi\) | |||||||
\(38\) | −0.506540 | − | 0.877353i | −0.0821717 | − | 0.142325i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.13442 | + | 1.80966i | 0.495595 | + | 0.286132i | ||||
\(41\) | 5.70089 | 0.890330 | 0.445165 | − | 0.895449i | \(-0.353145\pi\) | ||||
0.445165 | + | 0.895449i | \(0.353145\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.79899 | 0.731839 | 0.365919 | − | 0.930647i | \(-0.380755\pi\) | ||||
0.365919 | + | 0.930647i | \(0.380755\pi\) | |||||||
\(44\) | 1.73534 | + | 1.00190i | 0.261612 | + | 0.151042i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.51400 | − | 2.62232i | −0.223227 | − | 0.386640i | ||||
\(47\) | 1.11511 | − | 1.93143i | 0.162655 | − | 0.281727i | −0.773165 | − | 0.634205i | \(-0.781327\pi\) |
0.935820 | + | 0.352478i | \(0.114661\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.21155 | − | 6.64146i | 0.315936 | − | 0.948781i | ||||
\(50\) | 8.09945i | 1.14543i | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.95206 | − | 1.70437i | 0.409377 | − | 0.236354i | ||||
\(53\) | 7.58088 | − | 4.37683i | 1.04131 | − | 0.601203i | 0.121109 | − | 0.992639i | \(-0.461355\pi\) |
0.920205 | + | 0.391436i | \(0.128022\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 7.25237i | 0.977909i | ||||||||
\(56\) | −1.54733 | − | 2.14611i | −0.206770 | − | 0.286786i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.91308 | − | 5.04560i | 0.382506 | − | 0.662520i | ||||
\(59\) | −4.49313 | − | 7.78233i | −0.584956 | − | 1.01317i | −0.994881 | − | 0.101054i | \(-0.967778\pi\) |
0.409925 | − | 0.912119i | \(-0.365555\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 12.7410 | + | 7.35603i | 1.63132 | + | 0.941843i | 0.983686 | + | 0.179892i | \(0.0575747\pi\) |
0.647634 | + | 0.761952i | \(0.275759\pi\) | |||||||
\(62\) | 0.909687 | 0.115530 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 10.6844 | + | 6.16866i | 1.32524 | + | 0.765128i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.15821 | + | 7.20222i | 0.508006 | + | 0.879892i | 0.999957 | + | 0.00926908i | \(0.00295048\pi\) |
−0.491951 | + | 0.870623i | \(0.663716\pi\) | |||||||
\(68\) | 3.08709 | − | 5.34700i | 0.374365 | − | 0.648419i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 3.92666 | − | 8.73370i | 0.469326 | − | 1.04388i | ||||
\(71\) | 0.466287i | 0.0553381i | 0.999617 | + | 0.0276691i | \(0.00880846\pi\) | ||||
−0.999617 | + | 0.0276691i | \(0.991192\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.65022 | + | 2.10746i | −0.427226 | + | 0.246659i | −0.698164 | − | 0.715938i | \(-0.746000\pi\) |
0.270938 | + | 0.962597i | \(0.412666\pi\) | |||||||
\(74\) | −6.35359 | + | 3.66825i | −0.738590 | + | 0.426425i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 1.01308i | 0.116208i | ||||||||
\(77\) | 2.17395 | − | 4.83532i | 0.247745 | − | 0.551035i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.91267 | + | 3.31284i | −0.215192 | + | 0.372723i | −0.953332 | − | 0.301924i | \(-0.902371\pi\) |
0.738140 | + | 0.674648i | \(0.235704\pi\) | |||||||
\(80\) | −1.80966 | − | 3.13442i | −0.202326 | − | 0.350439i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −4.93712 | − | 2.85045i | −0.545213 | − | 0.314779i | ||||
\(83\) | 8.00963 | 0.879171 | 0.439585 | − | 0.898201i | \(-0.355125\pi\) | ||||
0.439585 | + | 0.898201i | \(0.355125\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 22.3463 | 2.42380 | ||||||||
\(86\) | −4.15605 | − | 2.39949i | −0.448158 | − | 0.258744i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.00190 | − | 1.73534i | −0.106803 | − | 0.184988i | ||||
\(89\) | −2.39324 | + | 4.14521i | −0.253683 | + | 0.439391i | −0.964537 | − | 0.263948i | \(-0.914975\pi\) |
0.710854 | + | 0.703339i | \(0.248309\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.27445 | − | 7.31553i | −0.552912 | − | 0.766876i | ||||
\(92\) | 3.02799i | 0.315690i | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1.93143 | + | 1.11511i | −0.199211 | + | 0.115015i | ||||
\(95\) | −3.17542 | + | 1.83333i | −0.325791 | + | 0.188096i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | − | 11.7589i | − | 1.19393i | −0.802266 | − | 0.596967i | \(-0.796372\pi\) | ||
0.802266 | − | 0.596967i | \(-0.203628\pi\) | |||||||
\(98\) | −5.23599 | + | 4.64590i | −0.528915 | + | 0.469307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.04972 | − | 7.01433i | 0.404972 | − | 0.701433i | ||||
\(101\) | −6.44610 | − | 11.1650i | −0.641411 | − | 1.11096i | −0.985118 | − | 0.171879i | \(-0.945016\pi\) |
0.343707 | − | 0.939077i | \(-0.388317\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.31740 | − | 5.37940i | −0.918070 | − | 0.530048i | −0.0350515 | − | 0.999386i | \(-0.511160\pi\) |
−0.883019 | + | 0.469337i | \(0.844493\pi\) | |||||||
\(104\) | −3.40874 | −0.334255 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.75365 | −0.850230 | ||||||||
\(107\) | −2.28602 | − | 1.31983i | −0.220998 | − | 0.127593i | 0.385414 | − | 0.922744i | \(-0.374058\pi\) |
−0.606412 | + | 0.795151i | \(0.707392\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.51768 | + | 7.82484i | 0.432715 | + | 0.749484i | 0.997106 | − | 0.0760233i | \(-0.0242224\pi\) |
−0.564391 | + | 0.825507i | \(0.690889\pi\) | |||||||
\(110\) | 3.62618 | − | 6.28073i | 0.345743 | − | 0.598844i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0.266972 | + | 2.63225i | 0.0252265 | + | 0.248724i | ||||
\(113\) | 1.69061i | 0.159039i | 0.996833 | + | 0.0795197i | \(0.0253387\pi\) | ||||
−0.996833 | + | 0.0795197i | \(0.974661\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.49100 | + | 5.47963i | −0.885041 | + | 0.510978i | ||||
\(116\) | −5.04560 | + | 2.91308i | −0.468472 | + | 0.270473i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 8.98627i | 0.827253i | ||||||||
\(119\) | −14.8988 | − | 6.69849i | −1.36577 | − | 0.614049i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −3.49240 | + | 6.04902i | −0.317491 | + | 0.549911i | ||||
\(122\) | −7.35603 | − | 12.7410i | −0.665984 | − | 1.15352i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.787812 | − | 0.454844i | −0.0707476 | − | 0.0408462i | ||||
\(125\) | 11.2179 | 1.00336 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.9292 | 1.59096 | 0.795478 | − | 0.605983i | \(-0.207220\pi\) | ||||
0.795478 | + | 0.605983i | \(0.207220\pi\) | |||||||
\(128\) | 0.866025 | + | 0.500000i | 0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −6.16866 | − | 10.6844i | −0.541027 | − | 0.937087i | ||||
\(131\) | 8.66567 | − | 15.0094i | 0.757123 | − | 1.31138i | −0.187188 | − | 0.982324i | \(-0.559938\pi\) |
0.944312 | − | 0.329052i | \(-0.106729\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.66668 | − | 0.270464i | 0.231230 | − | 0.0234522i | ||||
\(134\) | − | 8.31641i | − | 0.718429i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.34700 | + | 3.08709i | −0.458501 | + | 0.264716i | ||||
\(137\) | −0.000558693 | 0 | 0.000322562i | −4.77324e−5 | 0 | 2.75583e-5i | −0.500024 | − | 0.866012i | \(-0.666675\pi\) |
0.499976 | + | 0.866039i | \(0.333342\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.0837i | 0.855288i | 0.903947 | + | 0.427644i | \(0.140656\pi\) | ||||
−0.903947 | + | 0.427644i | \(0.859344\pi\) | |||||||
\(140\) | −7.76744 | + | 5.60027i | −0.656468 | + | 0.473309i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.233144 | − | 0.403817i | 0.0195650 | − | 0.0338875i | ||||
\(143\) | −3.41521 | − | 5.91532i | −0.285594 | − | 0.494664i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −18.2616 | − | 10.5434i | −1.51655 | − | 0.875578i | ||||
\(146\) | 4.21492 | 0.348829 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 7.33650 | 0.603056 | ||||||||
\(149\) | 9.74064 | + | 5.62376i | 0.797984 | + | 0.460716i | 0.842766 | − | 0.538280i | \(-0.180926\pi\) |
−0.0447816 | + | 0.998997i | \(0.514259\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 2.36189 | + | 4.09092i | 0.192208 | + | 0.332914i | 0.945982 | − | 0.324220i | \(-0.105102\pi\) |
−0.753774 | + | 0.657134i | \(0.771768\pi\) | |||||||
\(152\) | 0.506540 | − | 0.877353i | 0.0410858 | − | 0.0711627i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.30036 | + | 3.10053i | −0.346533 | + | 0.249848i | ||||
\(155\) | − | 3.29245i | − | 0.264456i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −2.65845 | + | 1.53486i | −0.212168 | + | 0.122495i | −0.602318 | − | 0.798256i | \(-0.705756\pi\) |
0.390151 | + | 0.920751i | \(0.372423\pi\) | |||||||
\(158\) | 3.31284 | − | 1.91267i | 0.263555 | − | 0.152164i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.61932i | 0.286132i | ||||||||
\(161\) | 7.97043 | − | 0.808390i | 0.628158 | − | 0.0637101i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.43687 | + | 2.48873i | −0.112544 | + | 0.194932i | −0.916795 | − | 0.399357i | \(-0.869233\pi\) |
0.804251 | + | 0.594289i | \(0.202567\pi\) | |||||||
\(164\) | 2.85045 | + | 4.93712i | 0.222582 | + | 0.385524i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −6.93654 | − | 4.00481i | −0.538380 | − | 0.310834i | ||||
\(167\) | −1.46103 | −0.113058 | −0.0565291 | − | 0.998401i | \(-0.518003\pi\) | ||||
−0.0565291 | + | 0.998401i | \(0.518003\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.38047 | 0.106190 | ||||||||
\(170\) | −19.3525 | − | 11.1732i | −1.48427 | − | 0.856942i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.39949 | + | 4.15605i | 0.182960 | + | 0.316896i | ||||
\(173\) | 1.53541 | − | 2.65940i | 0.116735 | − | 0.202191i | −0.801737 | − | 0.597677i | \(-0.796091\pi\) |
0.918472 | + | 0.395486i | \(0.129424\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −19.5446 | − | 8.78724i | −1.47743 | − | 0.664253i | ||||
\(176\) | 2.00379i | 0.151042i | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.14521 | − | 2.39324i | 0.310696 | − | 0.179381i | ||||
\(179\) | 16.7310 | − | 9.65966i | 1.25054 | − | 0.721997i | 0.279320 | − | 0.960198i | \(-0.409891\pi\) |
0.971216 | + | 0.238201i | \(0.0765578\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 7.89318i | − | 0.586695i | −0.956006 | − | 0.293348i | \(-0.905231\pi\) | ||
0.956006 | − | 0.293348i | \(-0.0947693\pi\) | |||||||
\(182\) | 0.910040 | + | 8.97266i | 0.0674566 | + | 0.665098i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.51400 | − | 2.62232i | 0.111613 | − | 0.193320i | ||||
\(185\) | 13.2765 | + | 22.9957i | 0.976111 | + | 1.69067i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −10.7143 | − | 6.18590i | −0.783506 | − | 0.452358i | ||||
\(188\) | 2.23022 | 0.162655 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.66666 | 0.266007 | ||||||||
\(191\) | 11.5218 | + | 6.65211i | 0.833688 | + | 0.481330i | 0.855114 | − | 0.518441i | \(-0.173487\pi\) |
−0.0214259 | + | 0.999770i | \(0.506821\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.26786 | − | 5.66011i | −0.235226 | − | 0.407423i | 0.724112 | − | 0.689682i | \(-0.242250\pi\) |
−0.959338 | + | 0.282259i | \(0.908916\pi\) | |||||||
\(194\) | −5.87944 | + | 10.1835i | −0.422119 | + | 0.731132i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 6.85745 | − | 1.40547i | 0.489818 | − | 0.100391i | ||||
\(197\) | − | 4.44250i | − | 0.316515i | −0.987398 | − | 0.158258i | \(-0.949412\pi\) | ||
0.987398 | − | 0.158258i | \(-0.0505876\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.96868 | − | 5.75542i | 0.706661 | − | 0.407991i | −0.103163 | − | 0.994665i | \(-0.532896\pi\) |
0.809823 | + | 0.586674i | \(0.199563\pi\) | |||||||
\(200\) | −7.01433 | + | 4.04972i | −0.495988 | + | 0.286359i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.8922i | 0.907092i | ||||||||
\(203\) | 9.01498 | + | 12.5036i | 0.632728 | + | 0.877578i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.3167 | + | 17.8690i | −0.720547 | + | 1.24802i | ||||
\(206\) | 5.37940 | + | 9.31740i | 0.374801 | + | 0.649174i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.95206 | + | 1.70437i | 0.204688 | + | 0.118177i | ||||
\(209\) | 2.03000 | 0.140418 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −22.6011 | −1.55592 | −0.777961 | − | 0.628313i | \(-0.783746\pi\) | ||||
−0.777961 | + | 0.628313i | \(0.783746\pi\) | |||||||
\(212\) | 7.58088 | + | 4.37683i | 0.520657 | + | 0.300602i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.31983 | + | 2.28602i | 0.0902219 | + | 0.156269i | ||||
\(215\) | −8.68453 | + | 15.0420i | −0.592280 | + | 1.02586i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.986937 | + | 2.19515i | −0.0669976 | + | 0.149016i | ||||
\(218\) | − | 9.03535i | − | 0.611951i | ||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −6.28073 | + | 3.62618i | −0.423447 | + | 0.244477i | ||||
\(221\) | −18.2265 | + | 10.5231i | −1.22605 | + | 0.707860i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 18.8209i | 1.26034i | 0.776457 | + | 0.630170i | \(0.217015\pi\) | ||||
−0.776457 | + | 0.630170i | \(0.782985\pi\) | |||||||
\(224\) | 1.08492 | − | 2.41308i | 0.0724892 | − | 0.161231i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.845306 | − | 1.46411i | 0.0562289 | − | 0.0973914i | ||||
\(227\) | −7.30665 | − | 12.6555i | −0.484960 | − | 0.839975i | 0.514891 | − | 0.857256i | \(-0.327832\pi\) |
−0.999851 | + | 0.0172809i | \(0.994499\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −2.06044 | − | 1.18959i | −0.136158 | − | 0.0786106i | 0.430374 | − | 0.902651i | \(-0.358382\pi\) |
−0.566531 | + | 0.824040i | \(0.691715\pi\) | |||||||
\(230\) | 10.9593 | 0.722633 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 5.82616 | 0.382506 | ||||||||
\(233\) | 9.03470 | + | 5.21619i | 0.591883 | + | 0.341724i | 0.765842 | − | 0.643029i | \(-0.222323\pi\) |
−0.173959 | + | 0.984753i | \(0.555656\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.03593 | + | 6.99044i | 0.263275 | + | 0.456006i | ||||
\(236\) | 4.49313 | − | 7.78233i | 0.292478 | − | 0.506587i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.55349 | + | 13.2505i | 0.619261 | + | 0.858899i | ||||
\(239\) | − | 23.7835i | − | 1.53843i | −0.638992 | − | 0.769213i | \(-0.720648\pi\) | ||
0.638992 | − | 0.769213i | \(-0.279352\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −24.8105 | + | 14.3243i | −1.59818 | + | 0.922712i | −0.606348 | + | 0.795200i | \(0.707366\pi\) |
−0.991837 | + | 0.127513i | \(0.959301\pi\) | |||||||
\(242\) | 6.04902 | − | 3.49240i | 0.388846 | − | 0.224500i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 14.7121i | 0.941843i | ||||||||
\(245\) | 16.8150 | + | 18.9507i | 1.07427 | + | 1.21072i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.72667 | − | 2.99067i | 0.109865 | − | 0.190292i | ||||
\(248\) | 0.454844 | + | 0.787812i | 0.0288826 | + | 0.0500261i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −9.71496 | − | 5.60894i | −0.614428 | − | 0.354740i | ||||
\(251\) | −11.0301 | −0.696216 | −0.348108 | − | 0.937454i | \(-0.613176\pi\) | ||||
−0.348108 | + | 0.937454i | \(0.613176\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.06748 | 0.381459 | ||||||||
\(254\) | −15.5271 | − | 8.96458i | −0.974257 | − | 0.562488i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −7.54890 | + | 13.0751i | −0.470888 | + | 0.815601i | −0.999446 | − | 0.0332960i | \(-0.989400\pi\) |
0.528558 | + | 0.848897i | \(0.322733\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.95864 | − | 19.3115i | −0.121704 | − | 1.19996i | ||||
\(260\) | 12.3373i | 0.765128i | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.0094 | + | 8.66567i | −0.927283 | + | 0.535367i | ||||
\(263\) | −17.0075 | + | 9.81926i | −1.04873 | + | 0.605482i | −0.922292 | − | 0.386493i | \(-0.873686\pi\) |
−0.126433 | + | 0.991975i | \(0.540353\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 31.6822i | 1.94622i | ||||||||
\(266\) | −2.44464 | − | 1.09911i | −0.149891 | − | 0.0673908i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.15821 | + | 7.20222i | −0.254003 | + | 0.439946i | ||||
\(269\) | 0.245503 | + | 0.425223i | 0.0149686 | + | 0.0259263i | 0.873413 | − | 0.486981i | \(-0.161902\pi\) |
−0.858444 | + | 0.512907i | \(0.828569\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.1927 | − | 7.03945i | −0.740653 | − | 0.427616i | 0.0816537 | − | 0.996661i | \(-0.473980\pi\) |
−0.822307 | + | 0.569045i | \(0.807313\pi\) | |||||||
\(272\) | 6.17418 | 0.374365 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.000645123 | 0 | 3.89733e−5 | 0 | ||||||
\(275\) | −14.0553 | − | 8.11481i | −0.847565 | − | 0.489342i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −15.3600 | − | 26.6043i | −0.922894 | − | 1.59850i | −0.794913 | − | 0.606723i | \(-0.792484\pi\) |
−0.127981 | − | 0.991777i | \(-0.540850\pi\) | |||||||
\(278\) | 5.04185 | − | 8.73273i | 0.302390 | − | 0.523755i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.52693 | − | 0.966257i | 0.569343 | − | 0.0577449i | ||||
\(281\) | 7.92455i | 0.472739i | 0.971663 | + | 0.236369i | \(0.0759576\pi\) | ||||
−0.971663 | + | 0.236369i | \(0.924042\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 9.97303 | − | 5.75793i | 0.592835 | − | 0.342273i | −0.173383 | − | 0.984855i | \(-0.555470\pi\) |
0.766218 | + | 0.642581i | \(0.222136\pi\) | |||||||
\(284\) | −0.403817 | + | 0.233144i | −0.0239621 | + | 0.0138345i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.83042i | 0.403891i | ||||||||
\(287\) | 12.2347 | − | 8.82115i | 0.722193 | − | 0.520696i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.5603 | + | 18.2909i | −0.621192 | + | 1.07594i | ||||
\(290\) | 10.5434 | + | 18.2616i | 0.619127 | + | 1.07236i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −3.65022 | − | 2.10746i | −0.213613 | − | 0.123330i | ||||
\(293\) | 5.01875 | 0.293198 | 0.146599 | − | 0.989196i | \(-0.453167\pi\) | ||||
0.146599 | + | 0.989196i | \(0.453167\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 32.5241 | 1.89363 | ||||||||
\(296\) | −6.35359 | − | 3.66825i | −0.369295 | − | 0.213213i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −5.62376 | − | 9.74064i | −0.325776 | − | 0.564260i | ||||
\(299\) | 5.16083 | − | 8.93882i | 0.298458 | − | 0.516945i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 10.2991 | − | 7.42561i | 0.593633 | − | 0.428005i | ||||
\(302\) | − | 4.72379i | − | 0.271824i | ||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.877353 | + | 0.506540i | −0.0503197 | + | 0.0290521i | ||||
\(305\) | −46.1138 | + | 26.6238i | −2.64047 | + | 1.52447i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 17.5309i | 1.00054i | 0.865869 | + | 0.500271i | \(0.166766\pi\) | ||||
−0.865869 | + | 0.500271i | \(0.833234\pi\) | |||||||
\(308\) | 5.27448 | − | 0.534957i | 0.300542 | − | 0.0304820i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −1.64622 | + | 2.85134i | −0.0934992 | + | 0.161945i | ||||
\(311\) | −8.64759 | − | 14.9781i | −0.490360 | − | 0.849328i | 0.509579 | − | 0.860424i | \(-0.329801\pi\) |
−0.999938 | + | 0.0110959i | \(0.996468\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.78988 | − | 4.49749i | −0.440310 | − | 0.254213i | 0.263419 | − | 0.964681i | \(-0.415150\pi\) |
−0.703729 | + | 0.710468i | \(0.748483\pi\) | |||||||
\(314\) | 3.06972 | 0.173234 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.82533 | −0.215192 | ||||||||
\(317\) | −5.82002 | − | 3.36019i | −0.326885 | − | 0.188727i | 0.327572 | − | 0.944826i | \(-0.393770\pi\) |
−0.654457 | + | 0.756099i | \(0.727103\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.83721 | + | 10.1103i | 0.326821 | + | 0.566071i | ||||
\(320\) | 1.80966 | − | 3.13442i | 0.101163 | − | 0.175219i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −7.30679 | − | 3.28513i | −0.407191 | − | 0.183073i | ||||
\(323\) | − | 6.25494i | − | 0.348034i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.9100 | + | 13.8045i | −1.32629 | + | 0.765734i | ||||
\(326\) | 2.48873 | − | 1.43687i | 0.137838 | − | 0.0795807i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | − | 5.70089i | − | 0.314779i | ||||||
\(329\) | −0.595406 | − | 5.87048i | −0.0328258 | − | 0.323650i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.38725 | − | 16.2592i | 0.515970 | − | 0.893686i | −0.483858 | − | 0.875146i | \(-0.660765\pi\) |
0.999828 | − | 0.0185396i | \(-0.00590167\pi\) | |||||||
\(332\) | 4.00481 | + | 6.93654i | 0.219793 | + | 0.380692i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 1.26529 | + | 0.730517i | 0.0692338 | + | 0.0399721i | ||||
\(335\) | −30.0997 | −1.64452 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.84575 | −0.263965 | −0.131982 | − | 0.991252i | \(-0.542134\pi\) | ||||
−0.131982 | + | 0.991252i | \(0.542134\pi\) | |||||||
\(338\) | −1.19552 | − | 0.690233i | −0.0650276 | − | 0.0375437i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 11.1732 | + | 19.3525i | 0.605949 | + | 1.04954i | ||||
\(341\) | −0.911413 | + | 1.57861i | −0.0493558 | + | 0.0854868i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.53030 | − | 17.6753i | −0.298608 | − | 0.954376i | ||||
\(344\) | − | 4.79899i | − | 0.258744i | ||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.65940 | + | 1.53541i | −0.142970 | + | 0.0825440i | ||||
\(347\) | −15.1305 | + | 8.73559i | −0.812247 | + | 0.468951i | −0.847736 | − | 0.530419i | \(-0.822035\pi\) |
0.0354887 | + | 0.999370i | \(0.488701\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 23.8258i | 1.27537i | 0.770299 | + | 0.637683i | \(0.220107\pi\) | ||||
−0.770299 | + | 0.637683i | \(0.779893\pi\) | |||||||
\(350\) | 12.5325 | + | 17.3823i | 0.669890 | + | 0.929122i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.00190 | − | 1.73534i | 0.0534013 | − | 0.0924938i | ||||
\(353\) | 5.02061 | + | 8.69596i | 0.267220 | + | 0.462839i | 0.968143 | − | 0.250398i | \(-0.0805615\pi\) |
−0.700923 | + | 0.713237i | \(0.747228\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −1.46154 | − | 0.843820i | −0.0775705 | − | 0.0447853i | ||||
\(356\) | −4.78647 | −0.253683 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −19.3193 | −1.02106 | ||||||||
\(359\) | −10.5353 | − | 6.08254i | −0.556030 | − | 0.321024i | 0.195521 | − | 0.980700i | \(-0.437360\pi\) |
−0.751550 | + | 0.659676i | \(0.770694\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.98683 | − | 15.5657i | −0.472991 | − | 0.819245i | ||||
\(362\) | −3.94659 | + | 6.83569i | −0.207428 | + | 0.359276i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.69821 | − | 8.22557i | 0.193839 | − | 0.431137i | ||||
\(365\) | − | 15.2551i | − | 0.798489i | ||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −3.14420 | + | 1.81531i | −0.164126 | + | 0.0947582i | −0.579813 | − | 0.814749i | \(-0.696874\pi\) |
0.415687 | + | 0.909508i | \(0.363541\pi\) | |||||||
\(368\) | −2.62232 | + | 1.51400i | −0.136698 | + | 0.0789225i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | − | 26.5531i | − | 1.38043i | ||||||
\(371\) | 9.49700 | − | 21.1233i | 0.493060 | − | 1.09666i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.74616 | + | 4.75648i | −0.142191 | + | 0.246281i | −0.928321 | − | 0.371779i | \(-0.878748\pi\) |
0.786131 | + | 0.618060i | \(0.212081\pi\) | |||||||
\(374\) | 6.18590 | + | 10.7143i | 0.319865 | + | 0.554023i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.93143 | − | 1.11511i | −0.0996057 | − | 0.0575074i | ||||
\(377\) | 19.8599 | 1.02284 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −15.5960 | −0.801112 | −0.400556 | − | 0.916272i | \(-0.631183\pi\) | ||||
−0.400556 | + | 0.916272i | \(0.631183\pi\) | |||||||
\(380\) | −3.17542 | − | 1.83333i | −0.162896 | − | 0.0940478i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −6.65211 | − | 11.5218i | −0.340352 | − | 0.589506i | ||||
\(383\) | 4.71534 | − | 8.16720i | 0.240942 | − | 0.417324i | −0.720041 | − | 0.693932i | \(-0.755877\pi\) |
0.960983 | + | 0.276607i | \(0.0892102\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 11.2218 | + | 15.5644i | 0.571915 | + | 0.793233i | ||||
\(386\) | 6.53573i | 0.332660i | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.1835 | − | 5.87944i | 0.516989 | − | 0.298483i | ||||
\(389\) | −5.56142 | + | 3.21089i | −0.281975 | + | 0.162798i | −0.634317 | − | 0.773073i | \(-0.718719\pi\) |
0.352342 | + | 0.935871i | \(0.385385\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 18.6954i | − | 0.945466i | ||||||
\(392\) | −6.64146 | − | 2.21155i | −0.335445 | − | 0.111700i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.22125 | + | 3.84732i | −0.111905 | + | 0.193825i | ||||
\(395\) | −6.92255 | − | 11.9902i | −0.348311 | − | 0.603293i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.99750 | + | 3.46266i | 0.301006 | + | 0.173786i | 0.642895 | − | 0.765955i | \(-0.277733\pi\) |
−0.341889 | + | 0.939740i | \(0.611067\pi\) | |||||||
\(398\) | −11.5108 | −0.576986 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.09945 | 0.404972 | ||||||||
\(401\) | 9.16848 | + | 5.29343i | 0.457852 | + | 0.264341i | 0.711141 | − | 0.703050i | \(-0.248179\pi\) |
−0.253289 | + | 0.967391i | \(0.581512\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.55045 | + | 2.68545i | 0.0772332 | + | 0.133772i | ||||
\(404\) | 6.44610 | − | 11.1650i | 0.320705 | − | 0.555478i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.55542 | − | 15.3359i | −0.0771943 | − | 0.761107i | ||||
\(407\) | − | 14.7008i | − | 0.728693i | ||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −7.72792 | + | 4.46172i | −0.382121 | + | 0.220618i | −0.678741 | − | 0.734378i | \(-0.737474\pi\) |
0.296620 | + | 0.954996i | \(0.404141\pi\) | |||||||
\(410\) | 17.8690 | − | 10.3167i | 0.882486 | − | 0.509504i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | − | 10.7588i | − | 0.530048i | ||||||
\(413\) | −21.6846 | − | 9.74937i | −1.06703 | − | 0.479735i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.4947 | + | 25.1055i | −0.711516 | + | 1.23238i | ||||
\(416\) | −1.70437 | − | 2.95206i | −0.0835637 | − | 0.144737i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.75804 | − | 1.01500i | −0.0859883 | − | 0.0496454i | ||||
\(419\) | −34.3848 | −1.67981 | −0.839903 | − | 0.542737i | \(-0.817388\pi\) | ||||
−0.839903 | + | 0.542737i | \(0.817388\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 35.5680 | 1.73348 | 0.866739 | − | 0.498762i | \(-0.166212\pi\) | ||||
0.866739 | + | 0.498762i | \(0.166212\pi\) | |||||||
\(422\) | 19.5731 | + | 11.3005i | 0.952803 | + | 0.550101i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −4.37683 | − | 7.58088i | −0.212557 | − | 0.368160i | ||||
\(425\) | −25.0037 | + | 43.3077i | −1.21286 | + | 2.10073i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 38.7258 | − | 3.92771i | 1.87407 | − | 0.190075i | ||||
\(428\) | − | 2.63967i | − | 0.127593i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 15.0420 | − | 8.68453i | 0.725392 | − | 0.418805i | ||||
\(431\) | −26.7338 | + | 15.4348i | −1.28772 | + | 0.743466i | −0.978247 | − | 0.207442i | \(-0.933486\pi\) |
−0.309474 | + | 0.950908i | \(0.600153\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 23.2463i | 1.11715i | 0.829455 | + | 0.558574i | \(0.188651\pi\) | ||||
−0.829455 | + | 0.558574i | \(0.811349\pi\) | |||||||
\(434\) | 1.95229 | − | 1.40758i | 0.0937127 | − | 0.0675662i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −4.51768 | + | 7.82484i | −0.216357 | + | 0.374742i | ||||
\(437\) | 1.53380 | + | 2.65662i | 0.0733716 | + | 0.127083i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −19.2887 | − | 11.1364i | −0.920601 | − | 0.531509i | −0.0367744 | − | 0.999324i | \(-0.511708\pi\) |
−0.883827 | + | 0.467814i | \(0.845042\pi\) | |||||||
\(440\) | 7.25237 | 0.345743 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.0462 | 1.00107 | ||||||||
\(443\) | 15.5756 | + | 8.99259i | 0.740020 | + | 0.427251i | 0.822077 | − | 0.569377i | \(-0.192815\pi\) |
−0.0820566 | + | 0.996628i | \(0.526149\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.66188 | − | 15.0028i | −0.410612 | − | 0.711202i | ||||
\(446\) | 9.41045 | − | 16.2994i | 0.445598 | − | 0.771798i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −2.14611 | + | 1.54733i | −0.101394 | + | 0.0731044i | ||||
\(449\) | 9.44363i | 0.445673i | 0.974856 | + | 0.222836i | \(0.0715315\pi\) | ||||
−0.974856 | + | 0.222836i | \(0.928468\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.89297 | − | 5.71171i | 0.465842 | − | 0.268954i | ||||
\(452\) | −1.46411 | + | 0.845306i | −0.0688661 | + | 0.0397599i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 14.6133i | 0.685837i | ||||||||
\(455\) | 32.4749 | − | 3.29372i | 1.52245 | − | 0.154412i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.922251 | − | 1.59739i | 0.0431411 | − | 0.0747225i | −0.843649 | − | 0.536896i | \(-0.819597\pi\) |
0.886790 | + | 0.462173i | \(0.152930\pi\) | |||||||
\(458\) | 1.18959 | + | 2.06044i | 0.0555861 | + | 0.0962779i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −9.49100 | − | 5.47963i | −0.442520 | − | 0.255489i | ||||
\(461\) | 36.3739 | 1.69410 | 0.847050 | − | 0.531513i | \(-0.178376\pi\) | ||||
0.847050 | + | 0.531513i | \(0.178376\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 31.9660 | 1.48559 | 0.742794 | − | 0.669520i | \(-0.233500\pi\) | ||||
0.742794 | + | 0.669520i | \(0.233500\pi\) | |||||||
\(464\) | −5.04560 | − | 2.91308i | −0.234236 | − | 0.135236i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −5.21619 | − | 9.03470i | −0.241635 | − | 0.418525i | ||||
\(467\) | 12.2206 | − | 21.1666i | 0.565500 | − | 0.979475i | −0.431503 | − | 0.902112i | \(-0.642017\pi\) |
0.997003 | − | 0.0773632i | \(-0.0246501\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 20.0682 | + | 9.02263i | 0.926662 | + | 0.416627i | ||||
\(470\) | − | 8.07186i | − | 0.372327i | ||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −7.78233 | + | 4.49313i | −0.358211 | + | 0.206813i | ||||
\(473\) | 8.32786 | − | 4.80809i | 0.382916 | − | 0.221076i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | − | 8.20539i | − | 0.376489i | ||||||
\(476\) | −1.64833 | − | 16.2520i | −0.0755513 | − | 0.744908i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.8917 | + | 20.5971i | −0.543916 | + | 0.942090i | ||||
\(479\) | 5.48032 | + | 9.49220i | 0.250402 | + | 0.433710i | 0.963637 | − | 0.267216i | \(-0.0861037\pi\) |
−0.713234 | + | 0.700926i | \(0.752770\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −21.6578 | − | 12.5041i | −0.987509 | − | 0.570139i | ||||
\(482\) | 28.6487 | 1.30491 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.98481 | −0.317491 | ||||||||
\(485\) | 36.8573 | + | 21.2796i | 1.67360 | + | 0.966255i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.8087 | − | 29.1136i | −0.761677 | − | 1.31926i | −0.941986 | − | 0.335653i | \(-0.891043\pi\) |
0.180309 | − | 0.983610i | \(-0.442290\pi\) | |||||||
\(488\) | 7.35603 | − | 12.7410i | 0.332992 | − | 0.576759i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −5.08685 | − | 24.8193i | −0.229801 | − | 1.12122i | ||||
\(491\) | 22.7353i | 1.02603i | 0.858380 | + | 0.513015i | \(0.171471\pi\) | ||||
−0.858380 | + | 0.513015i | \(0.828529\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 31.1525 | − | 17.9859i | 1.40304 | − | 0.810043i | ||||
\(494\) | −2.99067 | + | 1.72667i | −0.134557 | + | 0.0776863i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | − | 0.909687i | − | 0.0408462i | ||||||
\(497\) | 0.721500 | + | 1.00070i | 0.0323637 | + | 0.0448876i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.76175 | + | 16.9079i | −0.436996 | + | 0.756899i | −0.997456 | − | 0.0712820i | \(-0.977291\pi\) |
0.560460 | + | 0.828181i | \(0.310624\pi\) | |||||||
\(500\) | 5.60894 | + | 9.71496i | 0.250839 | + | 0.434466i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 9.55238 | + | 5.51507i | 0.426343 | + | 0.246149i | ||||
\(503\) | −13.6867 | −0.610262 | −0.305131 | − | 0.952310i | \(-0.598700\pi\) | ||||
−0.305131 | + | 0.952310i | \(0.598700\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 46.6609 | 2.07638 | ||||||||
\(506\) | −5.25459 | − | 3.03374i | −0.233595 | − | 0.134866i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 8.96458 | + | 15.5271i | 0.397739 | + | 0.688904i | ||||
\(509\) | −1.14583 | + | 1.98464i | −0.0507881 | + | 0.0879675i | −0.890302 | − | 0.455371i | \(-0.849507\pi\) |
0.839514 | + | 0.543338i | \(0.182840\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −4.57284 | + | 10.1709i | −0.202291 | + | 0.449935i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.0751 | − | 7.54890i | 0.576717 | − | 0.332968i | ||||
\(515\) | 33.7226 | − | 19.4698i | 1.48600 | − | 0.857940i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − | 4.46890i | − | 0.196542i | ||||||
\(518\) | −7.95950 | + | 17.7035i | −0.349720 | + | 0.777849i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.16866 | − | 10.6844i | 0.270514 | − | 0.468543i | ||||
\(521\) | 8.54102 | + | 14.7935i | 0.374189 | + | 0.648114i | 0.990205 | − | 0.139619i | \(-0.0445879\pi\) |
−0.616017 | + | 0.787733i | \(0.711255\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 35.7462 | + | 20.6381i | 1.56307 | + | 0.902440i | 0.996944 | + | 0.0781229i | \(0.0248927\pi\) |
0.566128 | + | 0.824317i | \(0.308441\pi\) | |||||||
\(524\) | 17.3313 | 0.757123 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 19.6385 | 0.856280 | ||||||||
\(527\) | 4.86410 | + | 2.80829i | 0.211883 | + | 0.122331i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.91563 | − | 11.9782i | −0.300679 | − | 0.520792i | ||||
\(530\) | 15.8411 | − | 27.4376i | 0.688094 | − | 1.19181i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.56757 | + | 2.17418i | 0.0679627 | + | 0.0942626i | ||||
\(533\) | − | 19.4329i | − | 0.841731i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 8.27382 | − | 4.77689i | 0.357708 | − | 0.206523i | ||||
\(536\) | 7.20222 | − | 4.15821i | 0.311089 | − | 0.179607i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | − | 0.491005i | − | 0.0211687i | ||||||
\(539\) | −2.81628 | − | 13.7409i | −0.121306 | − | 0.591864i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 22.7197 | − | 39.3516i | 0.976795 | − | 1.69186i | 0.302915 | − | 0.953018i | \(-0.402040\pi\) |
0.673880 | − | 0.738841i | \(-0.264627\pi\) | |||||||
\(542\) | 7.03945 | + | 12.1927i | 0.302370 | + | 0.523721i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −5.34700 | − | 3.08709i | −0.229251 | − | 0.132358i | ||||
\(545\) | −32.7018 | −1.40079 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −30.2191 | −1.29207 | −0.646037 | − | 0.763306i | \(-0.723575\pi\) | ||||
−0.646037 | + | 0.763306i | \(0.723575\pi\) | |||||||
\(548\) | −0.000558693 | 0 | 0.000322562i | −2.38662e−5 | 0 | 1.37791e-5i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 8.11481 | + | 14.0553i | 0.346017 | + | 0.599319i | ||||
\(551\) | −2.95118 | + | 5.11160i | −0.125725 | + | 0.217761i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.02126 | + | 10.0692i | 0.0434283 | + | 0.428187i | ||||
\(554\) | 30.7200i | 1.30517i | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.73273 | + | 5.04185i | −0.370350 | + | 0.213822i | ||||
\(557\) | 22.0154 | − | 12.7106i | 0.932822 | − | 0.538565i | 0.0451189 | − | 0.998982i | \(-0.485633\pi\) |
0.887703 | + | 0.460417i | \(0.152300\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 16.3585i | − | 0.691892i | ||||||
\(560\) | −8.73370 | − | 3.92666i | −0.369066 | − | 0.165932i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 3.96227 | − | 6.86286i | 0.167138 | − | 0.289492i | ||||
\(563\) | −1.44346 | − | 2.50015i | −0.0608346 | − | 0.105369i | 0.834004 | − | 0.551758i | \(-0.186043\pi\) |
−0.894839 | + | 0.446390i | \(0.852710\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −5.29909 | − | 3.05943i | −0.222934 | − | 0.128711i | ||||
\(566\) | −11.5159 | −0.484048 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.466287 | 0.0195650 | ||||||||
\(569\) | −38.5945 | − | 22.2826i | −1.61797 | − | 0.934134i | −0.987445 | − | 0.157963i | \(-0.949507\pi\) |
−0.630523 | − | 0.776171i | \(-0.717159\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.26470 | + | 5.65462i | 0.136623 | + | 0.236638i | 0.926216 | − | 0.376992i | \(-0.123042\pi\) |
−0.789593 | + | 0.613631i | \(0.789708\pi\) | |||||||
\(572\) | 3.41521 | − | 5.91532i | 0.142797 | − | 0.247332i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −15.0062 | + | 1.52198i | −0.626345 | + | 0.0635262i | ||||
\(575\) | − | 24.5251i | − | 1.02277i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.17720 | − | 0.679658i | 0.0490076 | − | 0.0282945i | −0.475296 | − | 0.879826i | \(-0.657659\pi\) |
0.524304 | + | 0.851531i | \(0.324326\pi\) | |||||||
\(578\) | 18.2909 | − | 10.5603i | 0.760802 | − | 0.439249i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | − | 21.0867i | − | 0.875578i | ||||||
\(581\) | 17.1895 | − | 12.3935i | 0.713141 | − | 0.514170i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 8.77026 | − | 15.1905i | 0.363227 | − | 0.629128i | ||||
\(584\) | 2.10746 | + | 3.65022i | 0.0872072 | + | 0.151047i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.34636 | − | 2.50937i | −0.179547 | − | 0.103661i | ||||
\(587\) | −44.4051 | −1.83279 | −0.916397 | − | 0.400270i | \(-0.868916\pi\) | ||||
−0.916397 | + | 0.400270i | \(0.868916\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −0.921586 | −0.0379733 | ||||||||
\(590\) | −28.1667 | − | 16.2621i | −1.15961 | − | 0.669499i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 3.66825 | + | 6.35359i | 0.150764 | + | 0.261131i | ||||
\(593\) | 7.17564 | − | 12.4286i | 0.294668 | − | 0.510380i | −0.680240 | − | 0.732990i | \(-0.738124\pi\) |
0.974908 | + | 0.222610i | \(0.0714576\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 47.9576 | − | 34.5771i | 1.96607 | − | 1.41752i | ||||
\(596\) | 11.2475i | 0.460716i | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −8.93882 | + | 5.16083i | −0.365535 | + | 0.211042i | ||||
\(599\) | −3.03349 | + | 1.75139i | −0.123945 | + | 0.0715597i | −0.560691 | − | 0.828025i | \(-0.689464\pi\) |
0.436746 | + | 0.899585i | \(0.356131\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 17.5337i | 0.715214i | 0.933872 | + | 0.357607i | \(0.116407\pi\) | ||||
−0.933872 | + | 0.357607i | \(0.883593\pi\) | |||||||
\(602\) | −12.6321 | + | 1.28120i | −0.514847 | + | 0.0522177i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.36189 | + | 4.09092i | −0.0961041 | + | 0.166457i | ||||
\(605\) | −12.6401 | − | 21.8933i | −0.513894 | − | 0.890090i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −0.0755923 | − | 0.0436432i | −0.00306820 | − | 0.00177142i | 0.498465 | − | 0.866910i | \(-0.333897\pi\) |
−0.501533 | + | 0.865138i | \(0.667231\pi\) | |||||||
\(608\) | 1.01308 | 0.0410858 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 53.2476 | 2.15593 | ||||||||
\(611\) | −6.58373 | − | 3.80112i | −0.266349 | − | 0.153777i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5352 | + | 21.7116i | 0.506292 | + | 0.876924i | 0.999973 | + | 0.00728071i | \(0.00231754\pi\) |
−0.493681 | + | 0.869643i | \(0.664349\pi\) | |||||||
\(614\) | 8.76545 | − | 15.1822i | 0.353745 | − | 0.612704i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.83532 | − | 2.17395i | −0.194820 | − | 0.0875911i | ||||
\(617\) | 12.2820i | 0.494455i | 0.968957 | + | 0.247228i | \(0.0795196\pi\) | ||||
−0.968957 | + | 0.247228i | \(0.920480\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.5869 | − | 10.1538i | 0.706875 | − | 0.408115i | −0.103028 | − | 0.994678i | \(-0.532853\pi\) |
0.809903 | + | 0.586564i | \(0.199520\pi\) | |||||||
\(620\) | 2.85134 | − | 1.64622i | 0.114513 | − | 0.0661139i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 17.2952i | 0.693474i | ||||||||
\(623\) | 1.27786 | + | 12.5992i | 0.0511962 | + | 0.504776i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.0518970 | + | 0.0898882i | −0.00207588 | + | 0.00359553i | ||||
\(626\) | 4.49749 | + | 7.78988i | 0.179756 | + | 0.311346i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −2.65845 | − | 1.53486i | −0.106084 | − | 0.0612475i | ||||
\(629\) | −45.2969 | −1.80610 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −45.9665 | −1.82990 | −0.914950 | − | 0.403568i | \(-0.867770\pi\) | ||||
−0.914950 | + | 0.403568i | \(0.867770\pi\) | |||||||
\(632\) | 3.31284 | + | 1.91267i | 0.131778 | + | 0.0760818i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 3.36019 | + | 5.82002i | 0.133450 | + | 0.231143i | ||||
\(635\) | −32.4456 | + | 56.1975i | −1.28757 | + | 2.23013i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −22.6390 | − | 7.53861i | −0.896992 | − | 0.298690i | ||||
\(638\) | − | 11.6744i | − | 0.462195i | ||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.13442 | + | 1.80966i | −0.123899 | + | 0.0715330i | ||||
\(641\) | 27.4104 | − | 15.8254i | 1.08265 | − | 0.625067i | 0.151038 | − | 0.988528i | \(-0.451738\pi\) |
0.931609 | + | 0.363461i | \(0.118405\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 11.5592i | 0.455851i | 0.973679 | + | 0.227925i | \(0.0731942\pi\) | ||||
−0.973679 | + | 0.227925i | \(0.926806\pi\) | |||||||
\(644\) | 4.68530 | + | 6.49840i | 0.184627 | + | 0.256073i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.12747 | + | 5.41694i | −0.123049 | + | 0.213127i | ||||
\(647\) | −13.0365 | − | 22.5799i | −0.512519 | − | 0.887708i | −0.999895 | − | 0.0145160i | \(-0.995379\pi\) |
0.487376 | − | 0.873192i | \(-0.337954\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.5942 | − | 9.00332i | −0.612126 | − | 0.353411i | ||||
\(650\) | 27.6089 | 1.08291 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.87373 | −0.112544 | ||||||||
\(653\) | −16.3952 | − | 9.46576i | −0.641593 | − | 0.370424i | 0.143635 | − | 0.989631i | \(-0.454121\pi\) |
−0.785228 | + | 0.619207i | \(0.787454\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 31.3638 | + | 54.3237i | 1.22549 | + | 2.12260i | ||||
\(656\) | −2.85045 | + | 4.93712i | −0.111291 | + | 0.192762i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.41961 | + | 5.38169i | −0.0943260 | + | 0.209800i | ||||
\(659\) | 26.9632i | 1.05034i | 0.850998 | + | 0.525168i | \(0.175998\pi\) | ||||
−0.850998 | + | 0.525168i | \(0.824002\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −22.3201 | + | 12.8865i | −0.868151 | + | 0.501227i | −0.866733 | − | 0.498772i | \(-0.833785\pi\) |
−0.00141768 | + | 0.999999i | \(0.500451\pi\) | |||||||
\(662\) | −16.2592 | + | 9.38725i | −0.631931 | + | 0.364846i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | − | 8.00963i | − | 0.310834i | ||||||
\(665\) | −3.97803 | + | 8.84793i | −0.154261 | + | 0.343108i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.82079 | + | 15.2780i | −0.341542 | + | 0.591568i | ||||
\(668\) | −0.730517 | − | 1.26529i | −0.0282646 | − | 0.0489557i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 26.0671 | + | 15.0499i | 1.00706 | + | 0.581427i | ||||
\(671\) | 29.4800 | 1.13806 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 25.9216 | 0.999203 | 0.499601 | − | 0.866255i | \(-0.333480\pi\) | ||||
0.499601 | + | 0.866255i | \(0.333480\pi\) | |||||||
\(674\) | 4.19654 | + | 2.42287i | 0.161645 | + | 0.0933256i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.690233 | + | 1.19552i | 0.0265474 | + | 0.0459815i | ||||
\(677\) | −6.55382 | + | 11.3515i | −0.251884 | + | 0.436275i | −0.964044 | − | 0.265741i | \(-0.914383\pi\) |
0.712161 | + | 0.702016i | \(0.247717\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −18.1949 | − | 25.2358i | −0.698254 | − | 0.968462i | ||||
\(680\) | − | 22.3463i | − | 0.856942i | ||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.57861 | − | 0.911413i | 0.0604483 | − | 0.0348998i | ||||
\(683\) | 25.6910 | − | 14.8327i | 0.983038 | − | 0.567557i | 0.0798523 | − | 0.996807i | \(-0.474555\pi\) |
0.903186 | + | 0.429249i | \(0.141222\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 0.00233490i | − | 8.92121e-5i | ||||||
\(686\) | −4.04826 | + | 18.0724i | −0.154563 | + | 0.690007i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −2.39949 | + | 4.15605i | −0.0914799 | + | 0.158448i | ||||
\(689\) | −14.9195 | − | 25.8413i | −0.568387 | − | 0.984475i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −40.9767 | − | 23.6579i | −1.55883 | − | 0.899990i | −0.997369 | − | 0.0724857i | \(-0.976907\pi\) |
−0.561459 | − | 0.827504i | \(-0.689760\pi\) | |||||||
\(692\) | 3.07081 | 0.116735 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 17.4712 | 0.663197 | ||||||||
\(695\) | −31.6065 | − | 18.2480i | −1.19890 | − | 0.692187i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −17.5992 | − | 30.4827i | −0.666616 | − | 1.15461i | ||||
\(698\) | 11.9129 | − | 20.6338i | 0.450910 | − | 0.780999i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.16233 | − | 21.3197i | −0.0817283 | − | 0.805811i | ||||
\(701\) | 13.7742i | 0.520244i | 0.965576 | + | 0.260122i | \(0.0837627\pi\) | ||||
−0.965576 | + | 0.260122i | \(0.916237\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.43670 | − | 3.71623i | 0.242765 | − | 0.140160i | ||||
\(704\) | −1.73534 | + | 1.00190i | −0.0654030 | + | 0.0377604i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | − | 10.0412i | − | 0.377907i | ||||||
\(707\) | −31.1099 | − | 13.9870i | −1.17001 | − | 0.526035i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 21.9691 | − | 38.0517i | 0.825069 | − | 1.42906i | −0.0767981 | − | 0.997047i | \(-0.524470\pi\) |
0.901867 | − | 0.432014i | \(-0.142197\pi\) | |||||||
\(710\) | 0.843820 | + | 1.46154i | 0.0316680 | + | 0.0548506i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 4.14521 | + | 2.39324i | 0.155348 | + | 0.0896903i | ||||
\(713\) | −2.75453 | −0.103158 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 24.7215 | 0.924530 | ||||||||
\(716\) | 16.7310 | + | 9.65966i | 0.625268 | + | 0.360998i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 6.08254 | + | 10.5353i | 0.226998 | + | 0.393173i | ||||
\(719\) | −14.7930 | + | 25.6223i | −0.551687 | + | 0.955549i | 0.446466 | + | 0.894800i | \(0.352682\pi\) |
−0.998153 | + | 0.0607489i | \(0.980651\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.3198 | + | 2.87230i | −1.05469 | + | 0.106970i | ||||
\(722\) | 17.9737i | 0.668911i | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 6.83569 | − | 3.94659i | 0.254046 | − | 0.146674i | ||||
\(725\) | 40.8666 | − | 23.5943i | 1.51775 | − | 0.876271i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 11.6907i | 0.433584i | 0.976218 | + | 0.216792i | \(0.0695593\pi\) | ||||
−0.976218 | + | 0.216792i | \(0.930441\pi\) | |||||||
\(728\) | −7.31553 | + | 5.27445i | −0.271132 | + | 0.195484i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.62756 | + | 13.2113i | −0.282308 | + | 0.488973i | ||||
\(731\) | −14.8149 | − | 25.6602i | −0.547949 | − | 0.949076i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 28.6423 | + | 16.5366i | 1.05793 | + | 0.610795i | 0.924858 | − | 0.380312i | \(-0.124183\pi\) |
0.133070 | + | 0.991107i | \(0.457517\pi\) | |||||||
\(734\) | 3.63061 | 0.134008 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 3.02799 | 0.111613 | ||||||||
\(737\) | 14.4318 | + | 8.33219i | 0.531601 | + | 0.306920i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.7528 | − | 37.6770i | −0.800190 | − | 1.38597i | −0.919491 | − | 0.393111i | \(-0.871399\pi\) |
0.119301 | − | 0.992858i | \(-0.461935\pi\) | |||||||
\(740\) | −13.2765 | + | 22.9957i | −0.488056 | + | 0.845337i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −18.7863 | + | 13.5448i | −0.689666 | + | 0.497244i | ||||
\(743\) | − | 20.8084i | − | 0.763386i | −0.924289 | − | 0.381693i | \(-0.875341\pi\) | ||
0.924289 | − | 0.381693i | \(-0.124659\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −35.2544 | + | 20.3542i | −1.29162 | + | 0.745719i | ||||
\(746\) | 4.75648 | − | 2.74616i | 0.174147 | − | 0.100544i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 12.3718i | − | 0.452358i | ||||||
\(749\) | −6.94825 | + | 0.704717i | −0.253884 | + | 0.0257498i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 19.9492 | − | 34.5531i | 0.727957 | − | 1.26086i | −0.229788 | − | 0.973241i | \(-0.573803\pi\) |
0.957745 | − | 0.287618i | \(-0.0928634\pi\) | |||||||
\(752\) | 1.11511 | + | 1.93143i | 0.0406638 | + | 0.0704318i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −17.1992 | − | 9.92994i | −0.626357 | − | 0.361627i | ||||
\(755\) | −17.0969 | −0.622219 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 7.45545 | 0.270973 | 0.135486 | − | 0.990779i | \(-0.456740\pi\) | ||||
0.135486 | + | 0.990779i | \(0.456740\pi\) | |||||||
\(758\) | 13.5065 | + | 7.79800i | 0.490579 | + | 0.283236i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.83333 | + | 3.17542i | 0.0665018 | + | 0.115185i | ||||
\(761\) | −4.32462 | + | 7.49046i | −0.156767 | + | 0.271529i | −0.933701 | − | 0.358053i | \(-0.883441\pi\) |
0.776934 | + | 0.629582i | \(0.216774\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 21.8030 | + | 9.80262i | 0.789322 | + | 0.354879i | ||||
\(764\) | 13.3042i | 0.481330i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.16720 | + | 4.71534i | −0.295093 | + | 0.170372i | ||||
\(767\) | −26.5280 | + | 15.3159i | −0.957870 | + | 0.553026i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | − | 23.6503i | − | 0.852853i | −0.904522 | − | 0.426426i | \(-0.859772\pi\) | ||
0.904522 | − | 0.426426i | \(-0.140228\pi\) | |||||||
\(770\) | −1.93618 | − | 19.0900i | −0.0697751 | − | 0.687957i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.26786 | − | 5.66011i | 0.117613 | − | 0.203712i | ||||
\(773\) | 23.2849 | + | 40.3307i | 0.837501 | + | 1.45059i | 0.891978 | + | 0.452079i | \(0.149317\pi\) |
−0.0544774 | + | 0.998515i | \(0.517349\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.38084 | + | 3.68398i | 0.229207 | + | 0.132333i | ||||
\(776\) | −11.7589 | −0.422119 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 6.42177 | 0.230232 | ||||||||
\(779\) | 5.00170 | + | 2.88773i | 0.179204 | + | 0.103464i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0.467172 | + | 0.809166i | 0.0167167 | + | 0.0289542i | ||||
\(782\) | −9.34769 | + | 16.1907i | −0.334273 | + | 0.578977i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.64590 | + | 5.23599i | 0.165925 | + | 0.187000i | ||||
\(785\) | − | 11.1103i | − | 0.396543i | ||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 21.1657 | − | 12.2200i | 0.754474 | − | 0.435596i | −0.0728341 | − | 0.997344i | \(-0.523204\pi\) |
0.827308 | + | 0.561748i | \(0.189871\pi\) | |||||||
\(788\) | 3.84732 | − | 2.22125i | 0.137055 | − | 0.0791288i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 13.8451i | 0.492586i | ||||||||
\(791\) | 2.61593 | + | 3.62823i | 0.0930118 | + | 0.129005i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 25.0748 | − | 43.4309i | 0.890433 | − | 1.54228i | ||||
\(794\) | −3.46266 | − | 5.99750i | −0.122885 | − | 0.212843i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.96868 | + | 5.75542i | 0.353330 | + | 0.203995i | ||||
\(797\) | 49.8404 | 1.76544 | 0.882719 | − | 0.469901i | \(-0.155711\pi\) | ||||
0.882719 | + | 0.469901i | \(0.155711\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13.7698 | −0.487139 | ||||||||
\(800\) | −7.01433 | − | 4.04972i | −0.247994 | − | 0.143179i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −5.29343 | − | 9.16848i | −0.186917 | − | 0.323750i | ||||
\(803\) | −4.22291 | + | 7.31430i | −0.149023 | + | 0.258116i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −11.8899 | + | 26.4456i | −0.419064 | + | 0.932084i | ||||
\(806\) | − | 3.10089i | − | 0.109224i | ||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −11.1650 | + | 6.44610i | −0.392782 | + | 0.226773i | ||||
\(809\) | −10.6735 | + | 6.16237i | −0.375262 | + | 0.216657i | −0.675755 | − | 0.737127i | \(-0.736182\pi\) |
0.300493 | + | 0.953784i | \(0.402849\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 24.8017i | 0.870906i | 0.900212 | + | 0.435453i | \(0.143412\pi\) | ||||
−0.900212 | + | 0.435453i | \(0.856588\pi\) | |||||||
\(812\) | −6.32091 | + | 14.0590i | −0.221820 | + | 0.493374i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −7.35042 | + | 12.7313i | −0.257632 | + | 0.446232i | ||||
\(815\) | −5.20047 | − | 9.00748i | −0.182165 | − | 0.315518i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 4.21041 | + | 2.43088i | 0.147304 | + | 0.0850457i | ||||
\(818\) | 8.92343 | 0.312000 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −20.6333 | −0.720547 | ||||||||
\(821\) | 31.3573 | + | 18.1041i | 1.09438 | + | 0.631839i | 0.934738 | − | 0.355336i | \(-0.115634\pi\) |
0.159639 | + | 0.987175i | \(0.448967\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.54093 | + | 16.5254i | 0.332576 | + | 0.576038i | 0.983016 | − | 0.183519i | \(-0.0587489\pi\) |
−0.650440 | + | 0.759557i | \(0.725416\pi\) | |||||||
\(824\) | −5.37940 | + | 9.31740i | −0.187400 | + | 0.324587i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 13.9047 | + | 19.2855i | 0.483807 | + | 0.671028i | ||||
\(827\) | 31.9013i | 1.10932i | 0.832079 | + | 0.554658i | \(0.187151\pi\) | ||||
−0.832079 | + | 0.554658i | \(0.812849\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.0645 | − | 7.54278i | 0.453748 | − | 0.261971i | −0.255664 | − | 0.966766i | \(-0.582294\pi\) |
0.709412 | + | 0.704794i | \(0.248961\pi\) | |||||||
\(830\) | 25.1055 | − | 14.4947i | 0.871425 | − | 0.503118i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 3.40874i | 0.118177i | ||||||||
\(833\) | −42.3392 | + | 8.67765i | −1.46696 | + | 0.300663i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 2.64397 | − | 4.57950i | 0.0914985 | − | 0.158480i | ||||
\(836\) | 1.01500 | + | 1.75804i | 0.0351046 | + | 0.0608029i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 29.7781 | + | 17.1924i | 1.02867 | + | 0.593901i | ||||
\(839\) | 16.3972 | 0.566094 | 0.283047 | − | 0.959106i | \(-0.408655\pi\) | ||||
0.283047 | + | 0.959106i | \(0.408655\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −4.94412 | −0.170487 | ||||||||
\(842\) | −30.8028 | − | 17.7840i | −1.06153 | − | 0.612877i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −11.3005 | − | 19.5731i | −0.388980 | − | 0.673734i | ||||
\(845\) | −2.49817 | + | 4.32696i | −0.0859397 | + | 0.148852i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.86475 | + | 18.3857i | 0.0640735 | + | 0.631741i | ||||
\(848\) | 8.75365i | 0.300602i | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 43.3077 | − | 25.0037i | 1.48544 | − | 0.857621i | ||||
\(851\) | 19.2386 | − | 11.1074i | 0.659492 | − | 0.380758i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 19.1606i | 0.656046i | 0.944670 | + | 0.328023i | \(0.106382\pi\) | ||||
−0.944670 | + | 0.328023i | \(0.893618\pi\) | |||||||
\(854\) | −35.5014 | − | 15.9614i | −1.21483 | − | 0.546188i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.31983 | + | 2.28602i | −0.0451110 | + | 0.0781345i | ||||
\(857\) | 8.05723 | + | 13.9555i | 0.275230 | + | 0.476712i | 0.970193 | − | 0.242333i | \(-0.0779127\pi\) |
−0.694963 | + | 0.719045i | \(0.744579\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.4830 | − | 6.05238i | −0.357677 | − | 0.206505i | 0.310384 | − | 0.950611i | \(-0.399542\pi\) |
−0.668061 | + | 0.744106i | \(0.732876\pi\) | |||||||
\(860\) | −17.3691 | −0.592280 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 30.8695 | 1.05142 | ||||||||
\(863\) | 32.2728 | + | 18.6327i | 1.09858 | + | 0.634265i | 0.935848 | − | 0.352405i | \(-0.114636\pi\) |
0.162732 | + | 0.986670i | \(0.447969\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.55712 | + | 9.62522i | 0.188948 | + | 0.327267i | ||||
\(866\) | 11.6232 | − | 20.1319i | 0.394971 | − | 0.684110i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −2.39452 | + | 0.242861i | −0.0812754 | + | 0.00824325i | ||||
\(869\) | 7.66518i | 0.260024i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 24.5505 | − | 14.1743i | 0.831863 | − | 0.480276i | ||||
\(872\) | 7.82484 | − | 4.51768i | 0.264983 | − | 0.152988i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | − | 3.06760i | − | 0.103763i | ||||||
\(875\) | 24.0748 | − | 17.3577i | 0.813875 | − | 0.586798i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 4.85474 | − | 8.40866i | 0.163933 | − | 0.283940i | −0.772343 | − | 0.635206i | \(-0.780915\pi\) |
0.936276 | + | 0.351266i | \(0.114249\pi\) | |||||||
\(878\) | 11.1364 | + | 19.2887i | 0.375834 | + | 0.650963i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −6.28073 | − | 3.62618i | −0.211723 | − | 0.122239i | ||||
\(881\) | −2.63241 | −0.0886881 | −0.0443440 | − | 0.999016i | \(-0.514120\pi\) | ||||
−0.0443440 | + | 0.999016i | \(0.514120\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −36.3181 | −1.22220 | −0.611101 | − | 0.791553i | \(-0.709273\pi\) | ||||
−0.611101 | + | 0.791553i | \(0.709273\pi\) | |||||||
\(884\) | −18.2265 | − | 10.5231i | −0.613025 | − | 0.353930i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −8.99259 | − | 15.5756i | −0.302112 | − | 0.523273i | ||||
\(887\) | −8.18209 | + | 14.1718i | −0.274728 | + | 0.475842i | −0.970066 | − | 0.242840i | \(-0.921921\pi\) |
0.695339 | + | 0.718682i | \(0.255254\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 38.4779 | − | 27.7423i | 1.29051 | − | 0.930447i | ||||
\(890\) | 17.3238i | 0.580694i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.2994 | + | 9.41045i | −0.545744 | + | 0.315085i | ||||
\(893\) | 1.95669 | − | 1.12969i | 0.0654781 | − | 0.0378038i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 69.9227i | 2.33726i | ||||||||
\(896\) | 2.63225 | − | 0.266972i | 0.0879372 | − | 0.00891892i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 4.72182 | − | 8.17843i | 0.157569 | − | 0.272918i | ||||
\(899\) | −2.64999 | − | 4.58992i | −0.0883822 | − | 0.153082i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −46.8058 | − | 27.0233i | −1.55933 | − | 0.900277i | ||||
\(902\) | −11.4234 | −0.380358 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 1.69061 | 0.0562289 | ||||||||
\(905\) | 24.7405 | + | 14.2839i | 0.822403 | + | 0.474814i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −5.41666 | − | 9.38192i | −0.179857 | − | 0.311522i | 0.761974 | − | 0.647607i | \(-0.224230\pi\) |
−0.941831 | + | 0.336086i | \(0.890897\pi\) | |||||||
\(908\) | 7.30665 | − | 12.6555i | 0.242480 | − | 0.419987i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −29.7709 | − | 13.3850i | −0.986897 | − | 0.443708i | ||||
\(911\) | 42.5521i | 1.40981i | 0.709300 | + | 0.704907i | \(0.249011\pi\) | ||||
−0.709300 | + | 0.704907i | \(0.750989\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.8994 | − | 8.02482i | 0.460003 | − | 0.265583i | ||||
\(914\) | −1.59739 | + | 0.922251i | −0.0528368 | + | 0.0305053i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | − | 2.37919i | − | 0.0786106i | ||||||
\(917\) | −4.62699 | − | 45.6204i | −0.152797 | − | 1.50652i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.9697 | + | 22.4641i | −0.427829 | + | 0.741022i | −0.996680 | − | 0.0814187i | \(-0.974055\pi\) |
0.568851 | + | 0.822441i | \(0.307388\pi\) | |||||||
\(920\) | 5.47963 | + | 9.49100i | 0.180658 | + | 0.312909i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −31.5007 | − | 18.1869i | −1.03742 | − | 0.598955i | ||||
\(923\) | 1.58945 | 0.0523175 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −59.4216 | −1.95377 | ||||||||
\(926\) | −27.6834 | − | 15.9830i | −0.909733 | − | 0.525234i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 2.91308 | + | 5.04560i | 0.0956265 | + | 0.165630i | ||||
\(929\) | −23.4456 | + | 40.6089i | −0.769224 | + | 1.33234i | 0.168760 | + | 0.985657i | \(0.446024\pi\) |
−0.937984 | + | 0.346678i | \(0.887310\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 5.30448 | − | 4.70667i | 0.173847 | − | 0.154255i | ||||
\(932\) | 10.4324i | 0.341724i | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −21.1666 | + | 12.2206i | −0.692593 | + | 0.399869i | ||||
\(935\) | 38.7784 | − | 22.3887i | 1.26819 | − | 0.732189i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 0.209357i | 0.00683939i | 0.999994 | + | 0.00341969i | \(0.00108852\pi\) | ||||
−0.999994 | + | 0.00341969i | \(0.998911\pi\) | |||||||
\(938\) | −12.8682 | − | 17.8479i | −0.420162 | − | 0.582755i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −4.03593 | + | 6.99044i | −0.131638 | + | 0.228003i | ||||
\(941\) | 0.388565 | + | 0.673014i | 0.0126669 | + | 0.0219396i | 0.872289 | − | 0.488990i | \(-0.162635\pi\) |
−0.859622 | + | 0.510930i | \(0.829301\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 14.9496 | + | 8.63113i | 0.486825 | + | 0.281068i | ||||
\(944\) | 8.98627 | 0.292478 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −9.61619 | −0.312649 | ||||||||
\(947\) | 43.1233 | + | 24.8972i | 1.40132 | + | 0.809052i | 0.994528 | − | 0.104470i | \(-0.0333145\pi\) |
0.406791 | + | 0.913521i | \(0.366648\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.18378 | + | 12.4427i | 0.233196 | + | 0.403906i | ||||
\(950\) | −4.10269 | + | 7.10607i | −0.133109 | + | 0.230552i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −6.69849 | + | 14.8988i | −0.217099 | + | 0.482873i | ||||
\(953\) | 41.4104i | 1.34141i | 0.741722 | + | 0.670707i | \(0.234009\pi\) | ||||
−0.741722 | + | 0.670707i | \(0.765991\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −41.7010 | + | 24.0761i | −1.34941 | + | 0.779084i | ||||
\(956\) | 20.5971 | − | 11.8917i | 0.666158 | − | 0.384607i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 10.9606i | − | 0.354122i | ||||||
\(959\) | −0.000699906 | 0.00155673i | −2.26012e−5 | 5.02695e-5i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −15.0862 | + | 26.1301i | −0.486653 | + | 0.842907i | ||||
\(962\) | 12.5041 | + | 21.6578i | 0.403149 | + | 0.698274i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −24.8105 | − | 14.3243i | −0.799092 | − | 0.461356i | ||||
\(965\) | 23.6549 | 0.761477 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −45.6056 | −1.46658 | −0.733289 | − | 0.679917i | \(-0.762016\pi\) | ||||
−0.733289 | + | 0.679917i | \(0.762016\pi\) | |||||||
\(968\) | 6.04902 | + | 3.49240i | 0.194423 | + | 0.112250i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −21.2796 | − | 36.8573i | −0.683245 | − | 1.18342i | ||||
\(971\) | −4.36733 | + | 7.56444i | −0.140154 | + | 0.242754i | −0.927555 | − | 0.373688i | \(-0.878093\pi\) |
0.787400 | + | 0.616442i | \(0.211427\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.6028 | + | 21.6407i | 0.500202 | + | 0.693768i | ||||
\(974\) | 33.6175i | 1.07717i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −12.7410 | + | 7.35603i | −0.407830 | + | 0.235461i | ||||
\(977\) | −12.9058 | + | 7.45114i | −0.412892 | + | 0.238383i | −0.692031 | − | 0.721867i | \(-0.743284\pi\) |
0.279140 | + | 0.960250i | \(0.409951\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9.59111i | 0.306533i | ||||||||
\(980\) | −8.00430 | + | 24.0376i | −0.255688 | + | 0.767852i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.3676 | − | 19.6893i | 0.362756 | − | 0.628312i | ||||
\(983\) | −1.53458 | − | 2.65798i | −0.0489456 | − | 0.0847763i | 0.840515 | − | 0.541789i | \(-0.182253\pi\) |
−0.889460 | + | 0.457013i | \(0.848919\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 13.9247 | + | 8.03941i | 0.443677 | + | 0.256157i | ||||
\(986\) | −35.9718 | −1.14557 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 3.45333 | 0.109865 | ||||||||
\(989\) | 12.5845 | + | 7.26565i | 0.400163 | + | 0.231034i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.9075 | + | 48.3372i | 0.886510 | + | 1.53548i | 0.843973 | + | 0.536386i | \(0.180211\pi\) |
0.0425375 | + | 0.999095i | \(0.486456\pi\) | |||||||
\(992\) | −0.454844 | + | 0.787812i | −0.0144413 | + | 0.0250131i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −0.124486 | − | 1.22738i | −0.00394845 | − | 0.0389302i | ||||
\(995\) | 41.6614i | 1.32075i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −5.30607 | + | 3.06346i | −0.168045 | + | 0.0970208i | −0.581664 | − | 0.813429i | \(-0.697598\pi\) |
0.413619 | + | 0.910450i | \(0.364265\pi\) | |||||||
\(998\) | 16.9079 | − | 9.76175i | 0.535209 | − | 0.309003i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))