Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(17,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.t (of order \(6\), degree \(2\), 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: | \(3.01834519640\) |
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 | 17.8 | ||
Root | \(1.71298 - 0.256290i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.17 |
Dual form | 378.2.t.a.89.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | + | 0.500000i | 0.612372 | + | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | + | 0.866025i | 0.250000 | + | 0.433013i | ||||
\(5\) | 3.61932 | 1.61861 | 0.809304 | − | 0.587391i | \(-0.199845\pi\) | ||||
0.809304 | + | 0.587391i | \(0.199845\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.266972 | − | 2.63225i | 0.100906 | − | 0.994896i | ||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.13442 | + | 1.80966i | 0.991190 | + | 0.572264i | ||||
\(11\) | − | 2.00379i | − | 0.604167i | −0.953281 | − | 0.302083i | \(-0.902318\pi\) | ||
0.953281 | − | 0.302083i | \(-0.0976821\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.95206 | − | 1.70437i | −0.818754 | − | 0.472708i | 0.0312328 | − | 0.999512i | \(-0.490057\pi\) |
−0.849987 | + | 0.526804i | \(0.823390\pi\) | |||||||
\(14\) | 1.54733 | − | 2.14611i | 0.413541 | − | 0.573571i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −3.08709 | + | 5.34700i | −0.748730 | + | 1.29684i | 0.199702 | + | 0.979857i | \(0.436002\pi\) |
−0.948432 | + | 0.316981i | \(0.897331\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.877353 | − | 0.506540i | 0.201279 | − | 0.116208i | −0.395973 | − | 0.918262i | \(-0.629593\pi\) |
0.597252 | + | 0.802054i | \(0.296259\pi\) | |||||||
\(20\) | 1.80966 | + | 3.13442i | 0.404652 | + | 0.700877i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.00190 | − | 1.73534i | 0.213605 | − | 0.369975i | ||||
\(23\) | 3.02799i | 0.631380i | 0.948862 | + | 0.315690i | \(0.102236\pi\) | ||||
−0.948862 | + | 0.315690i | \(0.897764\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 8.09945 | 1.61989 | ||||||||
\(26\) | −1.70437 | − | 2.95206i | −0.334255 | − | 0.578946i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41308 | − | 1.08492i | 0.456029 | − | 0.205030i | ||||
\(29\) | −5.04560 | + | 2.91308i | −0.936945 | + | 0.540945i | −0.889001 | − | 0.457905i | \(-0.848600\pi\) |
−0.0479434 | + | 0.998850i | \(0.515267\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.787812 | − | 0.454844i | 0.141495 | − | 0.0816923i | −0.427581 | − | 0.903977i | \(-0.640634\pi\) |
0.569076 | + | 0.822285i | \(0.307301\pi\) | |||||||
\(32\) | −0.866025 | + | 0.500000i | −0.153093 | + | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.34700 | + | 3.08709i | −0.917003 | + | 0.529432i | ||||
\(35\) | 0.966257 | − | 9.52693i | 0.163327 | − | 1.61035i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 3.66825 | + | 6.35359i | 0.603056 | + | 1.04452i | 0.992355 | + | 0.123413i | \(0.0393839\pi\) |
−0.389299 | + | 0.921111i | \(0.627283\pi\) | |||||||
\(38\) | 1.01308 | 0.164343 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.61932i | 0.572264i | ||||||||
\(41\) | −2.85045 | + | 4.93712i | −0.445165 | + | 0.771048i | −0.998064 | − | 0.0622002i | \(-0.980188\pi\) |
0.552899 | + | 0.833248i | \(0.313522\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −2.39949 | − | 4.15605i | −0.365919 | − | 0.633791i | 0.623004 | − | 0.782219i | \(-0.285912\pi\) |
−0.988923 | + | 0.148428i | \(0.952579\pi\) | |||||||
\(44\) | 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 | ||||||||
\(49\) | −6.85745 | − | 1.40547i | −0.979636 | − | 0.200782i | ||||
\(50\) | 7.01433 | + | 4.04972i | 0.991975 | + | 0.572717i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 3.40874i | − | 0.472708i | ||||||
\(53\) | 7.58088 | + | 4.37683i | 1.04131 | + | 0.601203i | 0.920205 | − | 0.391436i | \(-0.128022\pi\) |
0.121109 | + | 0.992639i | \(0.461355\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | − | 7.25237i | − | 0.977909i | ||||||
\(56\) | 2.63225 | + | 0.266972i | 0.351749 | + | 0.0356757i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −5.82616 | −0.765012 | ||||||||
\(59\) | −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 | \(-0.942425\pi\) |
−0.647634 | − | 0.761952i | \(-0.724241\pi\) | |||||||
\(62\) | 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 | \(0.663716\pi\) | |||||||
\(68\) | −6.17418 | −0.748730 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 5.60027 | − | 7.76744i | 0.669360 | − | 0.928386i | ||||
\(71\) | − | 0.466287i | − | 0.0553381i | −0.999617 | − | 0.0276691i | \(-0.991192\pi\) | ||
0.999617 | − | 0.0276691i | \(-0.00880846\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −3.65022 | − | 2.10746i | −0.427226 | − | 0.246659i | 0.270938 | − | 0.962597i | \(-0.412666\pi\) |
−0.698164 | + | 0.715938i | \(0.746000\pi\) | |||||||
\(74\) | 7.33650i | 0.852850i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.877353 | + | 0.506540i | 0.100639 | + | 0.0581041i | ||||
\(77\) | −5.27448 | − | 0.534957i | −0.601083 | − | 0.0609641i | ||||
\(78\) | 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 | ||||
\(83\) | −4.00481 | − | 6.93654i | −0.439585 | − | 0.761384i | 0.558072 | − | 0.829792i | \(-0.311541\pi\) |
−0.997657 | + | 0.0684084i | \(0.978208\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −11.1732 | + | 19.3525i | −1.21190 | + | 2.09907i | ||||
\(86\) | − | 4.79899i | − | 0.517488i | ||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.00379 | 0.213605 | ||||||||
\(89\) | −2.39324 | − | 4.14521i | −0.253683 | − | 0.439391i | 0.710854 | − | 0.703339i | \(-0.248309\pi\) |
−0.964537 | + | 0.263948i | \(0.914975\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.27445 | + | 7.31553i | −0.552912 | + | 0.766876i | ||||
\(92\) | −2.62232 | + | 1.51400i | −0.273396 | + | 0.157845i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.93143 | − | 1.11511i | 0.199211 | − | 0.115015i | ||||
\(95\) | 3.17542 | − | 1.83333i | 0.325791 | − | 0.188096i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 10.1835 | − | 5.87944i | 1.03398 | − | 0.596967i | 0.115856 | − | 0.993266i | \(-0.463039\pi\) |
0.918121 | + | 0.396299i | \(0.129706\pi\) | |||||||
\(98\) | −5.23599 | − | 4.64590i | −0.528915 | − | 0.469307i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 4.04972 | + | 7.01433i | 0.404972 | + | 0.701433i | ||||
\(101\) | 12.8922 | 1.28282 | 0.641411 | − | 0.767197i | \(-0.278349\pi\) | ||||
0.641411 | + | 0.767197i | \(0.278349\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 10.7588i | − | 1.06010i | −0.847968 | − | 0.530048i | \(-0.822174\pi\) | ||
0.847968 | − | 0.530048i | \(-0.177826\pi\) | |||||||
\(104\) | 1.70437 | − | 2.95206i | 0.167127 | − | 0.289473i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.37683 | + | 7.58088i | 0.425115 | + | 0.736321i | ||||
\(107\) | −2.28602 | + | 1.31983i | −0.220998 | + | 0.127593i | −0.606412 | − | 0.795151i | \(-0.707392\pi\) |
0.385414 | + | 0.922744i | \(0.374058\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.51768 | − | 7.82484i | 0.432715 | − | 0.749484i | −0.564391 | − | 0.825507i | \(-0.690889\pi\) |
0.997106 | + | 0.0760233i | \(0.0242224\pi\) | |||||||
\(110\) | 3.62618 | − | 6.28073i | 0.345743 | − | 0.598844i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 2.14611 | + | 1.54733i | 0.202788 | + | 0.146209i | ||||
\(113\) | 1.46411 | + | 0.845306i | 0.137732 | + | 0.0795197i | 0.567283 | − | 0.823523i | \(-0.307995\pi\) |
−0.429551 | + | 0.903043i | \(0.641328\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 10.9593i | 1.02196i | ||||||||
\(116\) | −5.04560 | − | 2.91308i | −0.468472 | − | 0.270473i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 8.98627i | − | 0.827253i | ||||||
\(119\) | 13.2505 | + | 9.55349i | 1.21467 | + | 0.875767i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.98481 | 0.634982 | ||||||||
\(122\) | −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 | ||||
\(131\) | −17.3313 | −1.51425 | −0.757123 | − | 0.653272i | \(-0.773396\pi\) | ||||
−0.757123 | + | 0.653272i | \(0.773396\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −1.09911 | − | 2.44464i | −0.0953049 | − | 0.211977i | ||||
\(134\) | 8.31641i | 0.718429i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.34700 | − | 3.08709i | −0.458501 | − | 0.264716i | ||||
\(137\) | 0 | 0.000645123i | 0 | 5.51166e-5i | 1.00000 | 2.75583e-5i | \(8.77208e-6\pi\) | |||
−1.00000 | 2.75583e-5i | \(0.999991\pi\) | ||||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 8.73273 | + | 5.04185i | 0.740701 | + | 0.427644i | 0.822324 | − | 0.569019i | \(-0.192677\pi\) |
−0.0816233 | + | 0.996663i | \(0.526010\pi\) | |||||||
\(140\) | 8.73370 | − | 3.92666i | 0.738132 | − | 0.331864i | ||||
\(141\) | 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 | ||||
\(146\) | −2.10746 | − | 3.65022i | −0.174414 | − | 0.302095i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −3.66825 | + | 6.35359i | −0.301528 | + | 0.522262i | ||||
\(149\) | 11.2475i | 0.921433i | 0.887547 | + | 0.460716i | \(0.152407\pi\) | ||||
−0.887547 | + | 0.460716i | \(0.847593\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.72379 | −0.384417 | −0.192208 | − | 0.981354i | \(-0.561565\pi\) | ||||
−0.192208 | + | 0.981354i | \(0.561565\pi\) | |||||||
\(152\) | 0.506540 | + | 0.877353i | 0.0410858 | + | 0.0711627i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.30036 | − | 3.10053i | −0.346533 | − | 0.249848i | ||||
\(155\) | 2.85134 | − | 1.64622i | 0.229025 | − | 0.132228i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2.65845 | − | 1.53486i | 0.212168 | − | 0.122495i | −0.390151 | − | 0.920751i | \(-0.627577\pi\) |
0.602318 | + | 0.798256i | \(0.294244\pi\) | |||||||
\(158\) | −3.31284 | + | 1.91267i | −0.263555 | + | 0.152164i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.13442 | + | 1.80966i | −0.247798 | + | 0.143066i | ||||
\(161\) | 7.97043 | + | 0.808390i | 0.628158 | + | 0.0637101i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.43687 | − | 2.48873i | −0.112544 | − | 0.194932i | 0.804251 | − | 0.594289i | \(-0.202567\pi\) |
−0.916795 | + | 0.399357i | \(0.869233\pi\) | |||||||
\(164\) | −5.70089 | −0.445165 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | − | 8.00963i | − | 0.621668i | ||||||
\(167\) | 0.730517 | − | 1.26529i | 0.0565291 | − | 0.0979113i | −0.836376 | − | 0.548156i | \(-0.815330\pi\) |
0.892905 | + | 0.450245i | \(0.148663\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.690233 | − | 1.19552i | −0.0530948 | − | 0.0919630i | ||||
\(170\) | −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 | ||||||||
\(175\) | 2.16233 | − | 21.3197i | 0.163457 | − | 1.61162i | ||||
\(176\) | 1.73534 | + | 1.00190i | 0.130806 | + | 0.0755209i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 4.78647i | − | 0.358761i | ||||||
\(179\) | 16.7310 | + | 9.65966i | 1.25054 | + | 0.721997i | 0.971216 | − | 0.238201i | \(-0.0765578\pi\) |
0.279320 | + | 0.960198i | \(0.409891\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.89318i | 0.586695i | 0.956006 | + | 0.293348i | \(0.0947693\pi\) | ||||
−0.956006 | + | 0.293348i | \(0.905231\pi\) | |||||||
\(182\) | −8.22557 | + | 3.69821i | −0.609720 | + | 0.274130i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.02799 | −0.223227 | ||||||||
\(185\) | 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 | 0.0214259 | − | 0.999770i | \(-0.493179\pi\) |
−0.855114 | + | 0.518441i | \(0.826513\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.26786 | − | 5.66011i | −0.235226 | − | 0.407423i | 0.724112 | − | 0.689682i | \(-0.242250\pi\) |
−0.959338 | + | 0.282259i | \(0.908916\pi\) | |||||||
\(194\) | 11.7589 | 0.844239 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.21155 | − | 6.64146i | −0.157968 | − | 0.474390i | ||||
\(197\) | 4.44250i | 0.316515i | 0.987398 | + | 0.158258i | \(0.0505876\pi\) | ||||
−0.987398 | + | 0.158258i | \(0.949412\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.96868 | + | 5.75542i | 0.706661 | + | 0.407991i | 0.809823 | − | 0.586674i | \(-0.199563\pi\) |
−0.103163 | + | 0.994665i | \(0.532896\pi\) | |||||||
\(200\) | 8.09945i | 0.572717i | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 11.1650 | + | 6.44610i | 0.785565 | + | 0.453546i | ||||
\(203\) | 6.32091 | + | 14.0590i | 0.443641 | + | 0.986747i | ||||
\(204\) | 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 | ||||
\(209\) | −1.01500 | − | 1.75804i | −0.0702092 | − | 0.121606i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.3005 | − | 19.5731i | 0.777961 | − | 1.34747i | −0.155155 | − | 0.987890i | \(-0.549588\pi\) |
0.933115 | − | 0.359577i | \(-0.117079\pi\) | |||||||
\(212\) | 8.75365i | 0.601203i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.63967 | −0.180444 | ||||||||
\(215\) | −8.68453 | − | 15.0420i | −0.592280 | − | 1.02586i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −0.986937 | − | 2.19515i | −0.0669976 | − | 0.149016i | ||||
\(218\) | 7.82484 | − | 4.51768i | 0.529965 | − | 0.305976i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 6.28073 | − | 3.62618i | 0.423447 | − | 0.244477i | ||||
\(221\) | 18.2265 | − | 10.5231i | 1.22605 | − | 0.707860i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −16.2994 | + | 9.41045i | −1.09149 | + | 0.630170i | −0.933972 | − | 0.357346i | \(-0.883682\pi\) |
−0.157515 | + | 0.987517i | \(0.550348\pi\) | |||||||
\(224\) | 1.08492 | + | 2.41308i | 0.0724892 | + | 0.161231i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.845306 | + | 1.46411i | 0.0562289 | + | 0.0973914i | ||||
\(227\) | 14.6133 | 0.969919 | 0.484960 | − | 0.874537i | \(-0.338834\pi\) | ||||
0.484960 | + | 0.874537i | \(0.338834\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | − | 2.37919i | − | 0.157221i | −0.996905 | − | 0.0786106i | \(-0.974952\pi\) | ||
0.996905 | − | 0.0786106i | \(-0.0250484\pi\) | |||||||
\(230\) | −5.47963 | + | 9.49100i | −0.361316 | + | 0.625818i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −2.91308 | − | 5.04560i | −0.191253 | − | 0.331260i | ||||
\(233\) | 9.03470 | − | 5.21619i | 0.591883 | − | 0.341724i | −0.173959 | − | 0.984753i | \(-0.555656\pi\) |
0.765842 | + | 0.643029i | \(0.222323\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.03593 | − | 6.99044i | 0.263275 | − | 0.456006i | ||||
\(236\) | 4.49313 | − | 7.78233i | 0.292478 | − | 0.506587i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 6.69849 | + | 14.8988i | 0.434198 | + | 0.965745i | ||||
\(239\) | −20.5971 | − | 11.8917i | −1.33232 | − | 0.769213i | −0.346662 | − | 0.937990i | \(-0.612685\pi\) |
−0.985654 | + | 0.168777i | \(0.946018\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 28.6487i | 1.84542i | 0.385489 | + | 0.922712i | \(0.374033\pi\) | ||||
−0.385489 | + | 0.922712i | \(0.625967\pi\) | |||||||
\(242\) | 6.04902 | + | 3.49240i | 0.388846 | + | 0.224500i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | − | 14.7121i | − | 0.941843i | ||||||
\(245\) | −24.8193 | − | 5.08685i | −1.58565 | − | 0.324987i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.45333 | −0.219730 | ||||||||
\(248\) | 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 | ||||
\(257\) | 15.0978 | 0.941775 | 0.470888 | − | 0.882193i | \(-0.343934\pi\) | ||||
0.470888 | + | 0.882193i | \(0.343934\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 17.7035 | − | 7.95950i | 1.10004 | − | 0.494579i | ||||
\(260\) | − | 12.3373i | − | 0.765128i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −15.0094 | − | 8.66567i | −0.927283 | − | 0.535367i | ||||
\(263\) | 19.6385i | 1.21096i | 0.795859 | + | 0.605482i | \(0.207020\pi\) | ||||
−0.795859 | + | 0.605482i | \(0.792980\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 27.4376 | + | 15.8411i | 1.68548 | + | 0.973112i | ||||
\(266\) | 0.270464 | − | 2.66668i | 0.0165832 | − | 0.163504i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −4.15821 | + | 7.20222i | −0.254003 | + | 0.439946i | ||||
\(269\) | 0.245503 | − | 0.425223i | 0.0149686 | − | 0.0259263i | −0.858444 | − | 0.512907i | \(-0.828569\pi\) |
0.873413 | + | 0.486981i | \(0.161902\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.1927 | + | 7.03945i | −0.740653 | + | 0.427616i | −0.822307 | − | 0.569045i | \(-0.807313\pi\) |
0.0816537 | + | 0.996661i | \(0.473980\pi\) | |||||||
\(272\) | −3.08709 | − | 5.34700i | −0.187182 | − | 0.324209i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −0.000322562 | 0 | 0.000558693i | −1.94867e−5 | 0 | 3.37519e-5i | ||||
\(275\) | − | 16.2296i | − | 0.978683i | ||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 30.7200 | 1.84579 | 0.922894 | − | 0.385054i | \(-0.125817\pi\) | ||||
0.922894 | + | 0.385054i | \(0.125817\pi\) | |||||||
\(278\) | 5.04185 | + | 8.73273i | 0.302390 | + | 0.523755i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.52693 | + | 0.966257i | 0.569343 | + | 0.0577449i | ||||
\(281\) | −6.86286 | + | 3.96227i | −0.409404 | + | 0.236369i | −0.690534 | − | 0.723300i | \(-0.742624\pi\) |
0.281130 | + | 0.959670i | \(0.409291\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −9.97303 | + | 5.75793i | −0.592835 | + | 0.342273i | −0.766218 | − | 0.642581i | \(-0.777864\pi\) |
0.173383 | + | 0.984855i | \(0.444530\pi\) | |||||||
\(284\) | 0.403817 | − | 0.233144i | 0.0239621 | − | 0.0138345i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −5.91532 | + | 3.41521i | −0.349780 | + | 0.201946i | ||||
\(287\) | 12.2347 | + | 8.82115i | 0.722193 | + | 0.520696i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −10.5603 | − | 18.2909i | −0.621192 | − | 1.07594i | ||||
\(290\) | −21.0867 | −1.23825 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 4.21492i | − | 0.246659i | ||||||
\(293\) | −2.50937 | + | 4.34636i | −0.146599 | + | 0.253917i | −0.929968 | − | 0.367639i | \(-0.880166\pi\) |
0.783369 | + | 0.621557i | \(0.213499\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −16.2621 | − | 28.1667i | −0.946814 | − | 1.63993i | ||||
\(296\) | −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 | ||||||||
\(301\) | −11.5803 | + | 5.20651i | −0.667480 | + | 0.300098i | ||||
\(302\) | −4.09092 | − | 2.36189i | −0.235406 | − | 0.135912i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.01308i | 0.0581041i | ||||||||
\(305\) | −46.1138 | − | 26.6238i | −2.64047 | − | 1.52447i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 17.5309i | − | 1.00054i | −0.865869 | − | 0.500271i | \(-0.833234\pi\) | ||
0.865869 | − | 0.500271i | \(-0.166766\pi\) | |||||||
\(308\) | −2.17395 | − | 4.83532i | −0.123873 | − | 0.275518i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 3.29245 | 0.186998 | ||||||||
\(311\) | −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 | 0.703729 | − | 0.710468i | \(-0.251517\pi\) |
−0.263419 | + | 0.964681i | \(0.584850\pi\) | |||||||
\(314\) | 3.06972 | 0.173234 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −3.82533 | −0.215192 | ||||||||
\(317\) | 5.82002 | + | 3.36019i | 0.326885 | + | 0.188727i | 0.654457 | − | 0.756099i | \(-0.272897\pi\) |
−0.327572 | + | 0.944826i | \(0.606230\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.83721 | + | 10.1103i | 0.326821 | + | 0.566071i | ||||
\(320\) | −3.61932 | −0.202326 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 6.49840 | + | 4.68530i | 0.362142 | + | 0.261102i | ||||
\(323\) | 6.25494i | 0.348034i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −23.9100 | − | 13.8045i | −1.32629 | − | 0.765734i | ||||
\(326\) | − | 2.87373i | − | 0.159161i | ||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.93712 | − | 2.85045i | −0.272607 | − | 0.157390i | ||||
\(329\) | −4.78629 | − | 3.45088i | −0.263876 | − | 0.190253i | ||||
\(330\) | 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 | ||||
\(335\) | 15.0499 | + | 26.0671i | 0.822262 | + | 1.42420i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.42287 | − | 4.19654i | 0.131982 | − | 0.228600i | −0.792458 | − | 0.609926i | \(-0.791199\pi\) |
0.924441 | + | 0.381326i | \(0.124532\pi\) | |||||||
\(338\) | − | 1.38047i | − | 0.0750874i | ||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −22.3463 | −1.21190 | ||||||||
\(341\) | −0.911413 | − | 1.57861i | −0.0493558 | − | 0.0854868i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −5.53030 | + | 17.6753i | −0.298608 | + | 0.954376i | ||||
\(344\) | 4.15605 | − | 2.39949i | 0.224079 | − | 0.129372i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.65940 | − | 1.53541i | 0.142970 | − | 0.0825440i | ||||
\(347\) | 15.1305 | − | 8.73559i | 0.812247 | − | 0.468951i | −0.0354887 | − | 0.999370i | \(-0.511299\pi\) |
0.847736 | + | 0.530419i | \(0.177965\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −20.6338 | + | 11.9129i | −1.10450 | + | 0.637683i | −0.937399 | − | 0.348257i | \(-0.886774\pi\) |
−0.167101 | + | 0.985940i | \(0.553440\pi\) | |||||||
\(350\) | 12.5325 | − | 17.3823i | 0.669890 | − | 0.929122i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.00190 | + | 1.73534i | 0.0534013 | + | 0.0924938i | ||||
\(353\) | −10.0412 | −0.534441 | −0.267220 | − | 0.963635i | \(-0.586105\pi\) | ||||
−0.267220 | + | 0.963635i | \(0.586105\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 1.68764i | − | 0.0895707i | ||||||
\(356\) | 2.39324 | − | 4.14521i | 0.126841 | − | 0.219696i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 9.65966 | + | 16.7310i | 0.510529 | + | 0.884262i | ||||
\(359\) | −10.5353 | + | 6.08254i | −0.556030 | + | 0.321024i | −0.751550 | − | 0.659676i | \(-0.770694\pi\) |
0.195521 | + | 0.980700i | \(0.437360\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.98683 | + | 15.5657i | −0.472991 | + | 0.819245i | ||||
\(362\) | −3.94659 | + | 6.83569i | −0.207428 | + | 0.359276i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −8.97266 | − | 0.910040i | −0.470295 | − | 0.0476990i | ||||
\(365\) | −13.2113 | − | 7.62756i | −0.691512 | − | 0.399245i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.63061i | 0.189516i | 0.995500 | + | 0.0947582i | \(0.0302078\pi\) | ||||
−0.995500 | + | 0.0947582i | \(0.969792\pi\) | |||||||
\(368\) | −2.62232 | − | 1.51400i | −0.136698 | − | 0.0789225i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 26.5531i | 1.38043i | ||||||||
\(371\) | 13.5448 | − | 18.7863i | 0.703210 | − | 0.975335i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.49231 | 0.284381 | 0.142191 | − | 0.989839i | \(-0.454585\pi\) | ||||
0.142191 | + | 0.989839i | \(0.454585\pi\) | |||||||
\(374\) | 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 | ||||
\(383\) | −9.43067 | −0.481885 | −0.240942 | − | 0.970539i | \(-0.577456\pi\) | ||||
−0.240942 | + | 0.970539i | \(0.577456\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −19.0900 | − | 1.93618i | −0.972918 | − | 0.0986769i | ||||
\(386\) | − | 6.53573i | − | 0.332660i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 10.1835 | + | 5.87944i | 0.516989 | + | 0.298483i | ||||
\(389\) | 6.42177i | 0.325597i | 0.986659 | + | 0.162798i | \(0.0520520\pi\) | ||||
−0.986659 | + | 0.162798i | \(0.947948\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −16.1907 | − | 9.34769i | −0.818798 | − | 0.472733i | ||||
\(392\) | 1.40547 | − | 6.85745i | 0.0709871 | − | 0.346354i | ||||
\(393\) | 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 | −0.341889 | − | 0.939740i | \(-0.611067\pi\) |
0.642895 | + | 0.765955i | \(0.277733\pi\) | |||||||
\(398\) | 5.75542 | + | 9.96868i | 0.288493 | + | 0.499685i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.04972 | + | 7.01433i | −0.202486 | + | 0.350716i | ||||
\(401\) | 10.5869i | 0.528682i | 0.964429 | + | 0.264341i | \(0.0851545\pi\) | ||||
−0.964429 | + | 0.264341i | \(0.914846\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −3.10089 | −0.154466 | ||||||||
\(404\) | 6.44610 | + | 11.1650i | 0.320705 | + | 0.555478i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.55542 | + | 15.3359i | −0.0771943 | + | 0.761107i | ||||
\(407\) | 12.7313 | − | 7.35042i | 0.631067 | − | 0.364347i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 7.72792 | − | 4.46172i | 0.382121 | − | 0.220618i | −0.296620 | − | 0.954996i | \(-0.595859\pi\) |
0.678741 | + | 0.734378i | \(0.262526\pi\) | |||||||
\(410\) | −17.8690 | + | 10.3167i | −0.882486 | + | 0.509504i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 9.31740 | − | 5.37940i | 0.459035 | − | 0.265024i | ||||
\(413\) | −21.6846 | + | 9.74937i | −1.06703 | + | 0.479735i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.4947 | − | 25.1055i | −0.711516 | − | 1.23238i | ||||
\(416\) | 3.40874 | 0.167127 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 2.03000i | − | 0.0992908i | ||||||
\(419\) | 17.1924 | − | 29.7781i | 0.839903 | − | 1.45475i | −0.0500724 | − | 0.998746i | \(-0.515945\pi\) |
0.889975 | − | 0.456009i | \(-0.150721\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −17.7840 | − | 30.8028i | −0.866739 | − | 1.50124i | −0.865310 | − | 0.501237i | \(-0.832879\pi\) |
−0.00142877 | − | 0.999999i | \(-0.500455\pi\) | |||||||
\(422\) | 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 | ||||||||
\(427\) | −22.7644 | + | 31.5737i | −1.10165 | + | 1.52796i | ||||
\(428\) | −2.28602 | − | 1.31983i | −0.110499 | − | 0.0637965i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 17.3691i | − | 0.837610i | ||||||
\(431\) | −26.7338 | − | 15.4348i | −1.28772 | − | 0.743466i | −0.309474 | − | 0.950908i | \(-0.600153\pi\) |
−0.978247 | + | 0.207442i | \(0.933486\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 23.2463i | − | 1.11715i | −0.829455 | − | 0.558574i | \(-0.811349\pi\) | ||
0.829455 | − | 0.558574i | \(-0.188651\pi\) | |||||||
\(434\) | 0.242861 | − | 2.39452i | 0.0116577 | − | 0.114941i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.03535 | 0.432715 | ||||||||
\(437\) | 1.53380 | + | 2.65662i | 0.0733716 | + | 0.127083i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 19.2887 | + | 11.1364i | 0.920601 | + | 0.531509i | 0.883827 | − | 0.467814i | \(-0.154958\pi\) |
0.0367744 | + | 0.999324i | \(0.488292\pi\) | |||||||
\(440\) | 7.25237 | 0.345743 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 21.0462 | 1.00107 | ||||||||
\(443\) | −15.5756 | − | 8.99259i | −0.740020 | − | 0.427251i | 0.0820566 | − | 0.996628i | \(-0.473851\pi\) |
−0.822077 | + | 0.569377i | \(0.807185\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.66188 | − | 15.0028i | −0.410612 | − | 0.711202i | ||||
\(446\) | −18.8209 | −0.891195 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.266972 | + | 2.63225i | −0.0126133 | + | 0.124362i | ||||
\(449\) | − | 9.44363i | − | 0.445673i | −0.974856 | − | 0.222836i | \(-0.928468\pi\) | ||
0.974856 | − | 0.222836i | \(-0.0715315\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.89297 | + | 5.71171i | 0.465842 | + | 0.268954i | ||||
\(452\) | 1.69061i | 0.0795197i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 12.6555 | + | 7.30665i | 0.593952 | + | 0.342918i | ||||
\(455\) | −19.0899 | + | 26.4772i | −0.894948 | + | 1.24127i | ||||
\(456\) | 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 | ||||
\(461\) | −18.1869 | − | 31.5007i | −0.847050 | − | 1.46713i | −0.883829 | − | 0.467810i | \(-0.845043\pi\) |
0.0367790 | − | 0.999323i | \(-0.488290\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −15.9830 | + | 27.6834i | −0.742794 | + | 1.28656i | 0.208425 | + | 0.978038i | \(0.433166\pi\) |
−0.951219 | + | 0.308518i | \(0.900167\pi\) | |||||||
\(464\) | − | 5.82616i | − | 0.270473i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.4324 | 0.483271 | ||||||||
\(467\) | 12.2206 | + | 21.1666i | 0.565500 | + | 0.979475i | 0.997003 | + | 0.0773632i | \(0.0246501\pi\) |
−0.431503 | + | 0.902112i | \(0.642017\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 20.0682 | − | 9.02263i | 0.926662 | − | 0.416627i | ||||
\(470\) | 6.99044 | − | 4.03593i | 0.322445 | − | 0.186164i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 7.78233 | − | 4.49313i | 0.358211 | − | 0.206813i | ||||
\(473\) | −8.32786 | + | 4.80809i | −0.382916 | + | 0.221076i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.10607 | − | 4.10269i | 0.326049 | − | 0.188245i | ||||
\(476\) | −1.64833 | + | 16.2520i | −0.0755513 | + | 0.744908i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −11.8917 | − | 20.5971i | −0.543916 | − | 0.942090i | ||||
\(479\) | −10.9606 | −0.500805 | −0.250402 | − | 0.968142i | \(-0.580563\pi\) | ||||
−0.250402 | + | 0.968142i | \(0.580563\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | − | 25.0082i | − | 1.14028i | ||||||
\(482\) | −14.3243 | + | 24.8105i | −0.652456 | + | 1.13009i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.49240 | + | 6.04902i | 0.158746 | + | 0.274955i | ||||
\(485\) | 36.8573 | − | 21.2796i | 1.67360 | − | 0.966255i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −16.8087 | + | 29.1136i | −0.761677 | + | 1.31926i | 0.180309 | + | 0.983610i | \(0.442290\pi\) |
−0.941986 | + | 0.335653i | \(0.891043\pi\) | |||||||
\(488\) | 7.35603 | − | 12.7410i | 0.332992 | − | 0.576759i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −18.9507 | − | 16.8150i | −0.856105 | − | 0.759624i | ||||
\(491\) | 19.6893 | + | 11.3676i | 0.888568 | + | 0.513015i | 0.873474 | − | 0.486871i | \(-0.161862\pi\) |
0.0150939 | + | 0.999886i | \(0.495195\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | − | 35.9718i | − | 1.62009i | ||||||
\(494\) | −2.99067 | − | 1.72667i | −0.134557 | − | 0.0776863i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.909687i | 0.0408462i | ||||||||
\(497\) | −1.22738 | − | 0.124486i | −0.0550557 | − | 0.00558395i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 19.5235 | 0.873992 | 0.436996 | − | 0.899463i | \(-0.356042\pi\) | ||||
0.436996 | + | 0.899463i | \(0.356042\pi\) | |||||||
\(500\) | 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 | ||||
\(509\) | 2.29166 | 0.101576 | 0.0507881 | − | 0.998709i | \(-0.483827\pi\) | ||||
0.0507881 | + | 0.998709i | \(0.483827\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −6.52186 | + | 9.04566i | −0.288510 | + | 0.400156i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.0751 | + | 7.54890i | 0.576717 | + | 0.332968i | ||||
\(515\) | − | 38.9395i | − | 1.71588i | ||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.87018 | − | 2.23445i | −0.170210 | − | 0.0982710i | ||||
\(518\) | 19.3115 | + | 1.95864i | 0.848497 | + | 0.0860577i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 6.16866 | − | 10.6844i | 0.270514 | − | 0.468543i | ||||
\(521\) | 8.54102 | − | 14.7935i | 0.374189 | − | 0.648114i | −0.616017 | − | 0.787733i | \(-0.711255\pi\) |
0.990205 | + | 0.139619i | \(0.0445879\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 35.7462 | − | 20.6381i | 1.56307 | − | 0.902440i | 0.566128 | − | 0.824317i | \(-0.308441\pi\) |
0.996944 | − | 0.0781229i | \(-0.0248927\pi\) | |||||||
\(524\) | −8.66567 | − | 15.0094i | −0.378562 | − | 0.655688i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.81926 | + | 17.0075i | −0.428140 | + | 0.741561i | ||||
\(527\) | 5.61657i | 0.244662i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.8313 | 0.601359 | ||||||||
\(530\) | 15.8411 | + | 27.4376i | 0.688094 | + | 1.19181i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 1.56757 | − | 2.17418i | 0.0679627 | − | 0.0942626i | ||||
\(533\) | 16.8294 | − | 9.71644i | 0.728961 | − | 0.420866i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −8.27382 | + | 4.77689i | −0.357708 | + | 0.206523i | ||||
\(536\) | −7.20222 | + | 4.15821i | −0.311089 | + | 0.179607i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0.425223 | − | 0.245503i | 0.0183327 | − | 0.0105844i | ||||
\(539\) | −2.81628 | + | 13.7409i | −0.121306 | + | 0.591864i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 22.7197 | + | 39.3516i | 0.976795 | + | 1.69186i | 0.673880 | + | 0.738841i | \(0.264627\pi\) |
0.302915 | + | 0.953018i | \(0.402040\pi\) | |||||||
\(542\) | −14.0789 | −0.604741 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 6.17418i | − | 0.264716i | ||||||
\(545\) | 16.3509 | − | 28.3206i | 0.700395 | − | 1.21312i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 15.1095 | + | 26.1705i | 0.646037 | + | 1.11897i | 0.984061 | + | 0.177832i | \(0.0569082\pi\) |
−0.338024 | + | 0.941138i | \(0.609758\pi\) | |||||||
\(548\) | −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 | ||||||||
\(553\) | 8.20958 | + | 5.91905i | 0.349107 | + | 0.251704i | ||||
\(554\) | 26.6043 | + | 15.3600i | 1.13031 | + | 0.652585i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 10.0837i | 0.427644i | ||||||||
\(557\) | 22.0154 | + | 12.7106i | 0.932822 | + | 0.538565i | 0.887703 | − | 0.460417i | \(-0.152300\pi\) |
0.0451189 | + | 0.998982i | \(0.485633\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.3585i | 0.691892i | ||||||||
\(560\) | 7.76744 | + | 5.60027i | 0.328234 | + | 0.236655i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −7.92455 | −0.334277 | ||||||||
\(563\) | −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 | \(0.0504927\pi\) |
0.630523 | + | 0.776171i | \(0.282841\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 3.26470 | + | 5.65462i | 0.136623 | + | 0.236638i | 0.926216 | − | 0.376992i | \(-0.123042\pi\) |
−0.789593 | + | 0.613631i | \(0.789708\pi\) | |||||||
\(572\) | −6.83042 | −0.285594 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.18501 | + | 13.7567i | 0.258157 | + | 0.574194i | ||||
\(575\) | 24.5251i | 1.02277i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 1.17720 | + | 0.679658i | 0.0490076 | + | 0.0282945i | 0.524304 | − | 0.851531i | \(-0.324326\pi\) |
−0.475296 | + | 0.879826i | \(0.657659\pi\) | |||||||
\(578\) | − | 21.1205i | − | 0.878498i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −18.2616 | − | 10.5434i | −0.758273 | − | 0.437789i | ||||
\(581\) | −19.3279 | + | 8.68979i | −0.801855 | + | 0.360513i | ||||
\(582\) | 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 | ||||
\(587\) | 22.2025 | + | 38.4559i | 0.916397 | + | 1.58725i | 0.804843 | + | 0.593488i | \(0.202250\pi\) |
0.111555 | + | 0.993758i | \(0.464417\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.460793 | − | 0.798117i | 0.0189866 | − | 0.0328858i | ||||
\(590\) | − | 32.5241i | − | 1.33900i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −7.33650 | −0.301528 | ||||||||
\(593\) | 7.17564 | + | 12.4286i | 0.294668 | + | 0.510380i | 0.974908 | − | 0.222610i | \(-0.0714576\pi\) |
−0.680240 | + | 0.732990i | \(0.738124\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 47.9576 | + | 34.5771i | 1.96607 | + | 1.41752i | ||||
\(596\) | −9.74064 | + | 5.62376i | −0.398992 | + | 0.230358i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 8.93882 | − | 5.16083i | 0.365535 | − | 0.211042i | ||||
\(599\) | 3.03349 | − | 1.75139i | 0.123945 | − | 0.0715597i | −0.436746 | − | 0.899585i | \(-0.643869\pi\) |
0.560691 | + | 0.828025i | \(0.310536\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −15.1846 | + | 8.76685i | −0.619394 | + | 0.357607i | −0.776633 | − | 0.629953i | \(-0.783074\pi\) |
0.157239 | + | 0.987561i | \(0.449741\pi\) | |||||||
\(602\) | −12.6321 | − | 1.28120i | −0.514847 | − | 0.0522177i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.36189 | − | 4.09092i | −0.0961041 | − | 0.166457i | ||||
\(605\) | 25.2802 | 1.02779 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − | 0.0872864i | − | 0.00354285i | −0.999998 | − | 0.00177142i | \(-0.999436\pi\) | ||
0.999998 | − | 0.00177142i | \(-0.000563862\pi\) | |||||||
\(608\) | −0.506540 | + | 0.877353i | −0.0205429 | + | 0.0355814i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −26.6238 | − | 46.1138i | −1.07797 | − | 1.86709i | ||||
\(611\) | −6.58373 | + | 3.80112i | −0.266349 | + | 0.153777i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5352 | − | 21.7116i | 0.506292 | − | 0.876924i | −0.493681 | − | 0.869643i | \(-0.664349\pi\) |
0.999973 | − | 0.00728071i | \(-0.00231754\pi\) | |||||||
\(614\) | 8.76545 | − | 15.1822i | 0.353745 | − | 0.612704i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0.534957 | − | 5.27448i | 0.0215541 | − | 0.212515i | ||||
\(617\) | 10.6365 | + | 6.14101i | 0.428211 | + | 0.247228i | 0.698584 | − | 0.715528i | \(-0.253814\pi\) |
−0.270373 | + | 0.962756i | \(0.587147\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 20.3076i | − | 0.816229i | −0.912931 | − | 0.408115i | \(-0.866186\pi\) | ||
0.912931 | − | 0.408115i | \(-0.133814\pi\) | |||||||
\(620\) | 2.85134 | + | 1.64622i | 0.114513 | + | 0.0661139i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 17.2952i | − | 0.693474i | ||||||
\(623\) | −11.5501 | + | 5.19294i | −0.462747 | + | 0.208051i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.103794 | 0.00415176 | ||||||||
\(626\) | 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 | ||||
\(635\) | 64.8913 | 2.57513 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 17.8482 | + | 15.8367i | 0.707169 | + | 0.627472i | ||||
\(638\) | 11.6744i | 0.462195i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.13442 | − | 1.80966i | −0.123899 | − | 0.0715330i | ||||
\(641\) | − | 31.6509i | − | 1.25013i | −0.780571 | − | 0.625067i | \(-0.785072\pi\) | ||
0.780571 | − | 0.625067i | \(-0.214928\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 10.0106 | + | 5.77960i | 0.394778 | + | 0.227925i | 0.684228 | − | 0.729268i | \(-0.260139\pi\) |
−0.289450 | + | 0.957193i | \(0.593472\pi\) | |||||||
\(644\) | 3.28513 | + | 7.30679i | 0.129452 | + | 0.287928i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.12747 | + | 5.41694i | −0.123049 | + | 0.213127i | ||||
\(647\) | −13.0365 | + | 22.5799i | −0.512519 | + | 0.887708i | 0.487376 | + | 0.873192i | \(0.337954\pi\) |
−0.999895 | + | 0.0145160i | \(0.995379\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.5942 | + | 9.00332i | −0.612126 | + | 0.353411i | ||||
\(650\) | −13.8045 | − | 23.9100i | −0.541456 | − | 0.937829i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.43687 | − | 2.48873i | 0.0562720 | − | 0.0974660i | ||||
\(653\) | − | 18.9315i | − | 0.740847i | −0.928863 | − | 0.370424i | \(-0.879212\pi\) | ||
0.928863 | − | 0.370424i | \(-0.120788\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −62.7276 | −2.45097 | ||||||||
\(656\) | −2.85045 | − | 4.93712i | −0.111291 | − | 0.192762i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −2.41961 | − | 5.38169i | −0.0943260 | − | 0.209800i | ||||
\(659\) | −23.3508 | + | 13.4816i | −0.909618 | + | 0.525168i | −0.880308 | − | 0.474402i | \(-0.842664\pi\) |
−0.0293098 | + | 0.999570i | \(0.509331\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.3201 | − | 12.8865i | 0.868151 | − | 0.501227i | 0.00141768 | − | 0.999999i | \(-0.499549\pi\) |
0.866733 | + | 0.498772i | \(0.166215\pi\) | |||||||
\(662\) | 16.2592 | − | 9.38725i | 0.631931 | − | 0.364846i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.93654 | − | 4.00481i | 0.269190 | − | 0.155417i | ||||
\(665\) | −3.97803 | − | 8.84793i | −0.154261 | − | 0.343108i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.82079 | − | 15.2780i | −0.341542 | − | 0.591568i | ||||
\(668\) | 1.46103 | 0.0565291 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 30.0997i | 1.16285i | ||||||||
\(671\) | −14.7400 | + | 25.5304i | −0.569030 | + | 0.985590i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −12.9608 | − | 22.4487i | −0.499601 | − | 0.865335i | 0.500398 | − | 0.865795i | \(-0.333187\pi\) |
−1.00000 | 0.000460130i | \(0.999854\pi\) | ||||||||
\(674\) | 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 | ||||||||
\(679\) | −12.7574 | − | 28.3751i | −0.489585 | − | 1.08894i | ||||
\(680\) | −19.3525 | − | 11.1732i | −0.742134 | − | 0.428471i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 1.82283i | − | 0.0697996i | ||||||
\(683\) | 25.6910 | + | 14.8327i | 0.983038 | + | 0.567557i | 0.903186 | − | 0.429249i | \(-0.141222\pi\) |
0.0798523 | + | 0.996807i | \(0.474555\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.00233490i | 8.92121e-5i | ||||||||
\(686\) | −13.6270 | + | 12.5421i | −0.520282 | + | 0.478859i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 4.79899 | 0.182960 | ||||||||
\(689\) | −14.9195 | − | 25.8413i | −0.568387 | − | 0.984475i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 40.9767 | + | 23.6579i | 1.55883 | + | 0.899990i | 0.997369 | + | 0.0724857i | \(0.0230932\pi\) |
0.561459 | + | 0.827504i | \(0.310240\pi\) | |||||||
\(692\) | 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 | ||||
\(698\) | −23.8258 | −0.901820 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 19.5446 | − | 8.78724i | 0.738717 | − | 0.332127i | ||||
\(701\) | − | 13.7742i | − | 0.520244i | −0.965576 | − | 0.260122i | \(-0.916237\pi\) | ||
0.965576 | − | 0.260122i | \(-0.0837627\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 6.43670 | + | 3.71623i | 0.242765 | + | 0.140160i | ||||
\(704\) | 2.00379i | 0.0755209i | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8.69596 | − | 5.02061i | −0.327277 | − | 0.188953i | ||||
\(707\) | 3.44186 | − | 33.9355i | 0.129444 | − | 1.27627i | ||||
\(708\) | 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 | ||||
\(713\) | 1.37726 | + | 2.38549i | 0.0515789 | + | 0.0893373i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −12.3607 | + | 21.4094i | −0.462265 | + | 0.800667i | ||||
\(716\) | 19.3193i | 0.721997i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −12.1651 | −0.453997 | ||||||||
\(719\) | −14.7930 | − | 25.6223i | −0.551687 | − | 0.955549i | −0.998153 | − | 0.0607489i | \(-0.980651\pi\) |
0.446466 | − | 0.894800i | \(-0.352682\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −28.3198 | − | 2.87230i | −1.05469 | − | 0.106970i | ||||
\(722\) | −15.5657 | + | 8.98683i | −0.579294 | + | 0.334455i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6.83569 | + | 3.94659i | −0.254046 | + | 0.146674i | ||||
\(725\) | −40.8666 | + | 23.5943i | −1.51775 | + | 0.876271i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −10.1244 | + | 5.84534i | −0.375494 | + | 0.216792i | −0.675856 | − | 0.737034i | \(-0.736226\pi\) |
0.300362 | + | 0.953825i | \(0.402893\pi\) | |||||||
\(728\) | −7.31553 | − | 5.27445i | −0.271132 | − | 0.195484i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −7.62756 | − | 13.2113i | −0.282308 | − | 0.488973i | ||||
\(731\) | 29.6298 | 1.09590 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 33.0733i | 1.22159i | 0.791789 | + | 0.610795i | \(0.209150\pi\) | ||||
−0.791789 | + | 0.610795i | \(0.790850\pi\) | |||||||
\(734\) | −1.81531 | + | 3.14420i | −0.0670042 | + | 0.116055i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.51400 | − | 2.62232i | −0.0558067 | − | 0.0966600i | ||||
\(737\) | 14.4318 | − | 8.33219i | 0.531601 | − | 0.306920i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −21.7528 | + | 37.6770i | −0.800190 | + | 1.38597i | 0.119301 | + | 0.992858i | \(0.461935\pi\) |
−0.919491 | + | 0.393111i | \(0.871399\pi\) | |||||||
\(740\) | −13.2765 | + | 22.9957i | −0.488056 | + | 0.845337i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 21.1233 | − | 9.49700i | 0.775459 | − | 0.348646i | ||||
\(743\) | −18.0206 | − | 10.4042i | −0.661112 | − | 0.381693i | 0.131589 | − | 0.991304i | \(-0.457992\pi\) |
−0.792701 | + | 0.609611i | \(0.791326\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 40.7083i | 1.49144i | ||||||||
\(746\) | 4.75648 | + | 2.74616i | 0.174147 | + | 0.100544i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 12.3718i | 0.452358i | ||||||||
\(749\) | 2.86382 | + | 6.36972i | 0.104642 | + | 0.232745i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −39.8984 | −1.45591 | −0.727957 | − | 0.685623i | \(-0.759530\pi\) | ||||
−0.727957 | + | 0.685623i | \(0.759530\pi\) | |||||||
\(752\) | 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 | ||||
\(761\) | 8.64924 | 0.313535 | 0.156767 | − | 0.987636i | \(-0.449893\pi\) | ||||
0.156767 | + | 0.987636i | \(0.449893\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −19.3908 | − | 13.9807i | −0.701995 | − | 0.506134i | ||||
\(764\) | − | 13.3042i | − | 0.481330i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.16720 | − | 4.71534i | −0.295093 | − | 0.170372i | ||||
\(767\) | 30.6319i | 1.10605i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −20.4818 | − | 11.8252i | −0.738592 | − | 0.426426i | 0.0829652 | − | 0.996552i | \(-0.473561\pi\) |
−0.821557 | + | 0.570126i | \(0.806894\pi\) | |||||||
\(770\) | −15.5644 | − | 11.2218i | −0.560900 | − | 0.404405i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 3.26786 | − | 5.66011i | 0.117613 | − | 0.203712i | ||||
\(773\) | 23.2849 | − | 40.3307i | 0.837501 | − | 1.45059i | −0.0544774 | − | 0.998515i | \(-0.517349\pi\) |
0.891978 | − | 0.452079i | \(-0.149317\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.38084 | − | 3.68398i | 0.229207 | − | 0.132333i | ||||
\(776\) | 5.87944 | + | 10.1835i | 0.211060 | + | 0.365566i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3.21089 | + | 5.56142i | −0.115116 | + | 0.199387i | ||||
\(779\) | 5.77546i | 0.206927i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.934344 | −0.0334335 | ||||||||
\(782\) | −9.34769 | − | 16.1907i | −0.334273 | − | 0.578977i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 4.64590 | − | 5.23599i | 0.165925 | − | 0.187000i | ||||
\(785\) | 9.62178 | − | 5.55513i | 0.343416 | − | 0.198271i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.1657 | + | 12.2200i | −0.754474 | + | 0.435596i | −0.827308 | − | 0.561748i | \(-0.810129\pi\) |
0.0728341 | + | 0.997344i | \(0.476796\pi\) | |||||||
\(788\) | −3.84732 | + | 2.22125i | −0.137055 | + | 0.0791288i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.9902 | + | 6.92255i | −0.426592 | + | 0.246293i | ||||
\(791\) | 2.61593 | − | 3.62823i | 0.0930118 | − | 0.129005i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 25.0748 | + | 43.4309i | 0.890433 | + | 1.54228i | ||||
\(794\) | 6.92531 | 0.245770 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.5108i | 0.407991i | ||||||||
\(797\) | −24.9202 | + | 43.1631i | −0.882719 | + | 1.52891i | −0.0344128 | + | 0.999408i | \(0.510956\pi\) |
−0.848306 | + | 0.529506i | \(0.822377\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6.88489 | + | 11.9250i | 0.243570 | + | 0.421875i | ||||
\(800\) | −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 | ||||||||
\(805\) | 28.8475 | + | 2.92582i | 1.01674 | + | 0.103122i | ||||
\(806\) | −2.68545 | − | 1.55045i | −0.0945910 | − | 0.0546121i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.8922i | 0.453546i | ||||||||
\(809\) | −10.6735 | − | 6.16237i | −0.375262 | − | 0.216657i | 0.300493 | − | 0.953784i | \(-0.402849\pi\) |
−0.675755 | + | 0.737127i | \(0.736182\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | − | 24.8017i | − | 0.870906i | −0.900212 | − | 0.435453i | \(-0.856588\pi\) | ||
0.900212 | − | 0.435453i | \(-0.143412\pi\) | |||||||
\(812\) | −9.01498 | + | 12.5036i | −0.316364 | + | 0.438789i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 14.7008 | 0.515264 | ||||||||
\(815\) | −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 | −0.159639 | − | 0.987175i | \(-0.551033\pi\) |
−0.934738 | + | 0.355336i | \(0.884366\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 9.54093 | + | 16.5254i | 0.332576 | + | 0.576038i | 0.983016 | − | 0.183519i | \(-0.0587489\pi\) |
−0.650440 | + | 0.759557i | \(0.725416\pi\) | |||||||
\(824\) | 10.7588 | 0.374801 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −23.6541 | − | 2.39908i | −0.823030 | − | 0.0834748i | ||||
\(827\) | − | 31.9013i | − | 1.10932i | −0.832079 | − | 0.554658i | \(-0.812849\pi\) | ||
0.832079 | − | 0.554658i | \(-0.187151\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 13.0645 | + | 7.54278i | 0.453748 | + | 0.261971i | 0.709412 | − | 0.704794i | \(-0.248961\pi\) |
−0.255664 | + | 0.966766i | \(0.582294\pi\) | |||||||
\(830\) | − | 28.9894i | − | 1.00624i | ||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.95206 | + | 1.70437i | 0.102344 | + | 0.0590885i | ||||
\(833\) | 28.6846 | − | 32.3280i | 0.993864 | − | 1.12010i | ||||
\(834\) | 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 | ||||
\(839\) | −8.19860 | − | 14.2004i | −0.283047 | − | 0.490252i | 0.689087 | − | 0.724679i | \(-0.258012\pi\) |
−0.972134 | + | 0.234427i | \(0.924679\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 2.47206 | − | 4.28173i | 0.0852434 | − | 0.147646i | ||||
\(842\) | − | 35.5680i | − | 1.22575i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 22.6011 | 0.777961 | ||||||||
\(845\) | −2.49817 | − | 4.32696i | −0.0859397 | − | 0.148852i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 1.86475 | − | 18.3857i | 0.0640735 | − | 0.631741i | ||||
\(848\) | −7.58088 | + | 4.37683i | −0.260329 | + | 0.150301i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −43.3077 | + | 25.0037i | −1.48544 | + | 0.857621i | ||||
\(851\) | −19.2386 | + | 11.1074i | −0.659492 | + | 0.380758i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −16.5936 | + | 9.58030i | −0.568153 | + | 0.328023i | −0.756411 | − | 0.654096i | \(-0.773049\pi\) |
0.188258 | + | 0.982120i | \(0.439716\pi\) | |||||||
\(854\) | −35.5014 | + | 15.9614i | −1.21483 | + | 0.546188i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.31983 | − | 2.28602i | −0.0451110 | − | 0.0781345i | ||||
\(857\) | −16.1145 | −0.550460 | −0.275230 | − | 0.961378i | \(-0.588754\pi\) | ||||
−0.275230 | + | 0.961378i | \(0.588754\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 12.1048i | − | 0.413009i | −0.978446 | − | 0.206505i | \(-0.933791\pi\) | ||
0.978446 | − | 0.206505i | \(-0.0662089\pi\) | |||||||
\(860\) | 8.68453 | − | 15.0420i | 0.296140 | − | 0.512929i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.4348 | − | 26.7338i | −0.525710 | − | 0.910556i | ||||
\(863\) | 32.2728 | − | 18.6327i | 1.09858 | − | 0.634265i | 0.162732 | − | 0.986670i | \(-0.447969\pi\) |
0.935848 | + | 0.352405i | \(0.114636\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 5.55712 | − | 9.62522i | 0.188948 | − | 0.327267i | ||||
\(866\) | 11.6232 | − | 20.1319i | 0.394971 | − | 0.684110i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 1.40758 | − | 1.95229i | 0.0477765 | − | 0.0662649i | ||||
\(869\) | 6.63824 | + | 3.83259i | 0.225187 | + | 0.130012i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 28.3485i | − | 0.960553i | ||||||
\(872\) | 7.82484 | + | 4.51768i | 0.264983 | + | 0.152988i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 3.06760i | 0.103763i | ||||||||
\(875\) | 2.99486 | − | 29.5282i | 0.101245 | − | 0.998236i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −9.70948 | −0.327866 | −0.163933 | − | 0.986471i | \(-0.552418\pi\) | ||||
−0.163933 | + | 0.986471i | \(0.552418\pi\) | |||||||
\(878\) | 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 | ||||
\(887\) | 16.3642 | 0.549455 | 0.274728 | − | 0.961522i | \(-0.411412\pi\) | ||||
0.274728 | + | 0.961522i | \(0.411412\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 4.78659 | − | 47.1940i | 0.160537 | − | 1.58284i | ||||
\(890\) | − | 17.3238i | − | 0.580694i | ||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −16.2994 | − | 9.41045i | −0.545744 | − | 0.315085i | ||||
\(893\) | − | 2.25939i | − | 0.0756076i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 60.5549 | + | 34.9614i | 2.02413 | + | 1.16863i | ||||
\(896\) | −1.54733 | + | 2.14611i | −0.0516926 | + | 0.0716964i | ||||
\(897\) | 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 | ||||
\(902\) | 5.71171 | + | 9.89297i | 0.190179 | + | 0.329400i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −0.845306 | + | 1.46411i | −0.0281145 | + | 0.0486957i | ||||
\(905\) | 28.5679i | 0.949629i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 10.8333 | 0.359714 | 0.179857 | − | 0.983693i | \(-0.442436\pi\) | ||||
0.179857 | + | 0.983693i | \(0.442436\pi\) | |||||||
\(908\) | 7.30665 | + | 12.6555i | 0.242480 | + | 0.419987i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −29.7709 | + | 13.3850i | −0.986897 | + | 0.443708i | ||||
\(911\) | −36.8512 | + | 21.2760i | −1.22093 | + | 0.704907i | −0.965117 | − | 0.261818i | \(-0.915678\pi\) |
−0.255817 | + | 0.966725i | \(0.582345\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −13.8994 | + | 8.02482i | −0.460003 | + | 0.265583i | ||||
\(914\) | 1.59739 | − | 0.922251i | 0.0528368 | − | 0.0305053i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.06044 | − | 1.18959i | 0.0680788 | − | 0.0393053i | ||||
\(917\) | −4.62699 | + | 45.6204i | −0.152797 | + | 1.50652i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −12.9697 | − | 22.4641i | −0.427829 | − | 0.741022i | 0.568851 | − | 0.822441i | \(-0.307388\pi\) |
−0.996680 | + | 0.0814187i | \(0.974055\pi\) | |||||||
\(920\) | −10.9593 | −0.361316 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 36.3739i | − | 1.19791i | ||||||
\(923\) | −0.794727 | + | 1.37651i | −0.0261588 | + | 0.0453083i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 29.7108 | + | 51.4606i | 0.976884 | + | 1.69201i | ||||
\(926\) | −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 | ||||||||
\(931\) | −6.72834 | + | 2.24048i | −0.220512 | + | 0.0734287i | ||||
\(932\) | 9.03470 | + | 5.21619i | 0.295942 | + | 0.170862i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 24.4411i | 0.799738i | ||||||||
\(935\) | 38.7784 | + | 22.3887i | 1.26819 | + | 0.732189i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 0.209357i | − | 0.00683939i | −0.999994 | − | 0.00341969i | \(-0.998911\pi\) | ||
0.999994 | − | 0.00341969i | \(-0.00108852\pi\) | |||||||
\(938\) | 21.8909 | + | 2.22025i | 0.714762 | + | 0.0724938i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 8.07186 | 0.263275 | ||||||||
\(941\) | 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 | −0.406791 | − | 0.913521i | \(-0.633352\pi\) |
−0.994528 | + | 0.104470i | \(0.966686\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 7.18378 | + | 12.4427i | 0.233196 | + | 0.403906i | ||||
\(950\) | 8.20539 | 0.266218 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −9.55349 | + | 13.2505i | −0.309630 | + | 0.429450i | ||||
\(953\) | − | 41.4104i | − | 1.34141i | −0.741722 | − | 0.670707i | \(-0.765991\pi\) | ||
0.741722 | − | 0.670707i | \(-0.234009\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −41.7010 | − | 24.0761i | −1.34941 | − | 0.779084i | ||||
\(956\) | − | 23.7835i | − | 0.769213i | ||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −9.49220 | − | 5.48032i | −0.306679 | − | 0.177061i | ||||
\(959\) | 0.00169812 | 0.000172230i | 5.48353e−5 | 5.56160e-6i | ||||||
\(960\) | 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 | ||||
\(965\) | −11.8274 | − | 20.4857i | −0.380739 | − | 0.659459i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 22.8028 | − | 39.4956i | 0.733289 | − | 1.27009i | −0.222181 | − | 0.975005i | \(-0.571318\pi\) |
0.955470 | − | 0.295088i | \(-0.0953491\pi\) | |||||||
\(968\) | 6.98481i | 0.224500i | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 42.5591 | 1.36649 | ||||||||
\(971\) | −4.36733 | − | 7.56444i | −0.140154 | − | 0.242754i | 0.787400 | − | 0.616442i | \(-0.211427\pi\) |
−0.927555 | + | 0.373688i | \(0.878093\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 15.6028 | − | 21.6407i | 0.500202 | − | 0.693768i | ||||
\(974\) | −29.1136 | + | 16.8087i | −0.932860 | + | 0.538587i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 12.7410 | − | 7.35603i | 0.407830 | − | 0.235461i | ||||
\(977\) | 12.9058 | − | 7.45114i | 0.412892 | − | 0.238383i | −0.279140 | − | 0.960250i | \(-0.590049\pi\) |
0.692031 | + | 0.721867i | \(0.256716\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.30615 | + | 4.79556i | −0.265466 | + | 0.153267i | ||||
\(980\) | −8.00430 | − | 24.0376i | −0.255688 | − | 0.767852i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 11.3676 | + | 19.6893i | 0.362756 | + | 0.628312i | ||||
\(983\) | 3.06917 | 0.0978912 | 0.0489456 | − | 0.998801i | \(-0.484414\pi\) | ||||
0.0489456 | + | 0.998801i | \(0.484414\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 16.0788i | 0.512314i | ||||||||
\(986\) | 17.9859 | − | 31.1525i | 0.572787 | − | 0.992096i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.72667 | − | 2.99067i | −0.0549325 | − | 0.0951460i | ||||
\(989\) | 12.5845 | − | 7.26565i | 0.400163 | − | 0.231034i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.9075 | − | 48.3372i | 0.886510 | − | 1.53548i | 0.0425375 | − | 0.999095i | \(-0.486456\pi\) |
0.843973 | − | 0.536386i | \(-0.180211\pi\) | |||||||
\(992\) | −0.454844 | + | 0.787812i | −0.0144413 | + | 0.0250131i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.00070 | − | 0.721500i | −0.0317404 | − | 0.0228846i | ||||
\(995\) | 36.0798 | + | 20.8307i | 1.14381 | + | 0.660377i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 6.12692i | 0.194042i | 0.995282 | + | 0.0970208i | \(0.0309313\pi\) | ||||
−0.995282 | + | 0.0970208i | \(0.969069\pi\) | |||||||
\(998\) | 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 \(a_p\))