Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [735,2,Mod(734,735)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(735, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("735.734");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 735 = 3 \cdot 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 735.g (of order \(2\), degree \(1\), 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: | \(5.86900454856\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Twist minimal: | no (minimal twist has level 105) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 734.4 | ||
Character | \(\chi\) | \(=\) | 735.734 |
Dual form | 735.2.g.b.734.3 |
$q$-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 \(\left(\mathbb{Z}/735\mathbb{Z}\right)^\times\).
\(n\) | \(346\) | \(442\) | \(491\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.50798 | −1.77341 | −0.886704 | − | 0.462338i | \(-0.847011\pi\) | ||||
−0.886704 | + | 0.462338i | \(0.847011\pi\) | |||||||
\(3\) | 1.47954 | + | 0.900534i | 0.854213 | + | 0.519924i | ||||
\(4\) | 4.28995 | 2.14497 | ||||||||
\(5\) | 1.94085 | + | 1.11045i | 0.867974 | + | 0.496609i | ||||
\(6\) | −3.71065 | − | 2.25852i | −1.51487 | − | 0.922036i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | −5.74313 | −2.03050 | ||||||||
\(9\) | 1.37808 | + | 2.66475i | 0.459359 | + | 0.888251i | ||||
\(10\) | −4.86760 | − | 2.78499i | −1.53927 | − | 0.880690i | ||||
\(11\) | − | 1.71869i | − | 0.518205i | −0.965850 | − | 0.259103i | \(-0.916573\pi\) | ||
0.965850 | − | 0.259103i | \(-0.0834268\pi\) | |||||||
\(12\) | 6.34714 | + | 3.86324i | 1.83226 | + | 1.11522i | ||||
\(13\) | −0.360784 | −0.100063 | −0.0500317 | − | 0.998748i | \(-0.515932\pi\) | ||||
−0.0500317 | + | 0.998748i | \(0.515932\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 1.87156 | + | 3.39076i | 0.483236 | + | 0.875490i | ||||
\(16\) | 5.82374 | 1.45593 | ||||||||
\(17\) | 2.54287i | 0.616737i | 0.951267 | + | 0.308369i | \(0.0997831\pi\) | ||||
−0.951267 | + | 0.308369i | \(0.900217\pi\) | |||||||
\(18\) | −3.45618 | − | 6.68314i | −0.814630 | − | 1.57523i | ||||
\(19\) | 5.69835i | 1.30729i | 0.756801 | + | 0.653646i | \(0.226761\pi\) | ||||
−0.756801 | + | 0.653646i | \(0.773239\pi\) | |||||||
\(20\) | 8.32614 | + | 4.76378i | 1.86178 | + | 1.06521i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.31044i | 0.918989i | ||||||||
\(23\) | 2.50798 | 0.522949 | 0.261475 | − | 0.965210i | \(-0.415791\pi\) | ||||
0.261475 | + | 0.965210i | \(0.415791\pi\) | |||||||
\(24\) | −8.49719 | − | 5.17188i | −1.73448 | − | 1.05571i | ||||
\(25\) | 2.53379 | + | 4.31044i | 0.506759 | + | 0.862088i | ||||
\(26\) | 0.904837 | 0.177453 | ||||||||
\(27\) | −0.360784 | + | 5.18361i | −0.0694328 | + | 0.997587i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | − | 3.76228i | − | 0.698638i | −0.937004 | − | 0.349319i | \(-0.886413\pi\) | ||
0.937004 | − | 0.349319i | \(-0.113587\pi\) | |||||||
\(30\) | −4.69384 | − | 8.50394i | −0.856974 | − | 1.55260i | ||||
\(31\) | 2.78499i | 0.500198i | 0.968220 | + | 0.250099i | \(0.0804632\pi\) | ||||
−0.968220 | + | 0.250099i | \(0.919537\pi\) | |||||||
\(32\) | −3.11954 | −0.551462 | ||||||||
\(33\) | 1.54774 | − | 2.54287i | 0.269427 | − | 0.442657i | ||||
\(34\) | − | 6.37747i | − | 1.09373i | ||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 5.91187 | + | 11.4316i | 0.985312 | + | 1.90527i | ||||
\(37\) | 3.30566i | 0.543448i | 0.962375 | + | 0.271724i | \(0.0875937\pi\) | ||||
−0.962375 | + | 0.271724i | \(0.912406\pi\) | |||||||
\(38\) | − | 14.2913i | − | 2.31836i | ||||||
\(39\) | −0.533794 | − | 0.324898i | −0.0854754 | − | 0.0520253i | ||||
\(40\) | −11.1465 | − | 6.37747i | −1.76242 | − | 1.00837i | ||||
\(41\) | −2.63477 | −0.411481 | −0.205741 | − | 0.978607i | \(-0.565960\pi\) | ||||
−0.205741 | + | 0.978607i | \(0.565960\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | − | 10.0606i | − | 1.53423i | −0.641510 | − | 0.767114i | \(-0.721692\pi\) | ||
0.641510 | − | 0.767114i | \(-0.278308\pi\) | |||||||
\(44\) | − | 7.37310i | − | 1.11154i | ||||||
\(45\) | −0.284442 | + | 6.70217i | −0.0424021 | + | 0.999101i | ||||
\(46\) | −6.28995 | −0.927402 | ||||||||
\(47\) | − | 5.82304i | − | 0.849378i | −0.905339 | − | 0.424689i | \(-0.860383\pi\) | ||
0.905339 | − | 0.424689i | \(-0.139617\pi\) | |||||||
\(48\) | 8.61645 | + | 5.24448i | 1.24368 | + | 0.756975i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −6.35469 | − | 10.8105i | −0.898689 | − | 1.52883i | ||||
\(51\) | −2.28995 | + | 3.76228i | −0.320656 | + | 0.526825i | ||||
\(52\) | −1.54774 | −0.214633 | ||||||||
\(53\) | −1.45435 | −0.199770 | −0.0998852 | − | 0.994999i | \(-0.531848\pi\) | ||||
−0.0998852 | + | 0.994999i | \(0.531848\pi\) | |||||||
\(54\) | 0.904837 | − | 13.0004i | 0.123133 | − | 1.76913i | ||||
\(55\) | 1.90853 | − | 3.33572i | 0.257345 | − | 0.449789i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −5.13156 | + | 8.43094i | −0.679692 | + | 1.11671i | ||||
\(58\) | 9.43572i | 1.23897i | ||||||||
\(59\) | 6.85856 | 0.892909 | 0.446454 | − | 0.894806i | \(-0.352687\pi\) | ||||
0.446454 | + | 0.894806i | \(0.352687\pi\) | |||||||
\(60\) | 8.02891 | + | 14.5462i | 1.03653 | + | 1.87790i | ||||
\(61\) | 1.60367i | 0.205329i | 0.994716 | + | 0.102665i | \(0.0327368\pi\) | ||||
−0.994716 | + | 0.102665i | \(0.967263\pi\) | |||||||
\(62\) | − | 6.98468i | − | 0.887055i | ||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.82374 | −0.477967 | ||||||||
\(65\) | −0.700227 | − | 0.400633i | −0.0868524 | − | 0.0496924i | ||||
\(66\) | −3.88170 | + | 6.37747i | −0.477804 | + | 0.785012i | ||||
\(67\) | 2.49083i | 0.304303i | 0.988357 | + | 0.152151i | \(0.0486201\pi\) | ||||
−0.988357 | + | 0.152151i | \(0.951380\pi\) | |||||||
\(68\) | 10.9088i | 1.32288i | ||||||||
\(69\) | 3.71065 | + | 2.25852i | 0.446710 | + | 0.271894i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 13.1790i | 1.56406i | 0.623243 | + | 0.782028i | \(0.285815\pi\) | ||||
−0.623243 | + | 0.782028i | \(0.714185\pi\) | |||||||
\(72\) | −7.91447 | − | 15.3040i | −0.932729 | − | 1.80360i | ||||
\(73\) | 11.6437 | 1.36280 | 0.681398 | − | 0.731913i | \(-0.261372\pi\) | ||||
0.681398 | + | 0.731913i | \(0.261372\pi\) | |||||||
\(74\) | − | 8.29052i | − | 0.963754i | ||||||
\(75\) | −0.132851 | + | 8.65923i | −0.0153403 | + | 0.999882i | ||||
\(76\) | 24.4456i | 2.80410i | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 1.33874 | + | 0.814836i | 0.151583 | + | 0.0922621i | ||||
\(79\) | −13.8698 | −1.56048 | −0.780239 | − | 0.625481i | \(-0.784903\pi\) | ||||
−0.780239 | + | 0.625481i | \(0.784903\pi\) | |||||||
\(80\) | 11.3030 | + | 6.46698i | 1.26371 | + | 0.723030i | ||||
\(81\) | −5.20181 | + | 7.34446i | −0.577979 | + | 0.816051i | ||||
\(82\) | 6.60793 | 0.729724 | ||||||||
\(83\) | − | 3.50427i | − | 0.384644i | −0.981332 | − | 0.192322i | \(-0.938398\pi\) | ||
0.981332 | − | 0.192322i | \(-0.0616018\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.82374 | + | 4.93534i | −0.306277 | + | 0.535312i | ||||
\(86\) | 25.2318i | 2.72081i | ||||||||
\(87\) | 3.38806 | − | 5.56645i | 0.363239 | − | 0.596786i | ||||
\(88\) | 9.87067i | 1.05222i | ||||||||
\(89\) | 12.2078 | 1.29403 | 0.647014 | − | 0.762478i | \(-0.276017\pi\) | ||||
0.647014 | + | 0.762478i | \(0.276017\pi\) | |||||||
\(90\) | 0.713373 | − | 16.8089i | 0.0751962 | − | 1.77181i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 10.7591 | 1.12171 | ||||||||
\(93\) | −2.50798 | + | 4.12050i | −0.260065 | + | 0.427276i | ||||
\(94\) | 14.6040i | 1.50629i | ||||||||
\(95\) | −6.32775 | + | 11.0596i | −0.649213 | + | 1.13470i | ||||
\(96\) | −4.61549 | − | 2.80926i | −0.471066 | − | 0.286718i | ||||
\(97\) | 8.18747 | 0.831311 | 0.415656 | − | 0.909522i | \(-0.363552\pi\) | ||||
0.415656 | + | 0.909522i | \(0.363552\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 4.57989 | − | 2.36849i | 0.460296 | − | 0.238042i | ||||
\(100\) | 10.8698 | + | 18.4915i | 1.08698 | + | 1.84915i | ||||
\(101\) | 1.24693 | 0.124074 | 0.0620372 | − | 0.998074i | \(-0.480240\pi\) | ||||
0.0620372 | + | 0.998074i | \(0.480240\pi\) | |||||||
\(102\) | 5.74313 | − | 9.43572i | 0.568654 | − | 0.934275i | ||||
\(103\) | −4.14604 | −0.408521 | −0.204261 | − | 0.978917i | \(-0.565479\pi\) | ||||
−0.204261 | + | 0.978917i | \(0.565479\pi\) | |||||||
\(104\) | 2.07203 | 0.203179 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 3.64748 | 0.354274 | ||||||||
\(107\) | −1.10752 | −0.107068 | −0.0535342 | − | 0.998566i | \(-0.517049\pi\) | ||||
−0.0535342 | + | 0.998566i | \(0.517049\pi\) | |||||||
\(108\) | −1.54774 | + | 22.2374i | −0.148931 | + | 2.13980i | ||||
\(109\) | −9.11368 | −0.872933 | −0.436466 | − | 0.899721i | \(-0.643770\pi\) | ||||
−0.436466 | + | 0.899721i | \(0.643770\pi\) | |||||||
\(110\) | −4.78654 | + | 8.36591i | −0.456378 | + | 0.797659i | ||||
\(111\) | −2.97686 | + | 4.89086i | −0.282551 | + | 0.464220i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.79282 | 0.356799 | 0.178399 | − | 0.983958i | \(-0.442908\pi\) | ||||
0.178399 | + | 0.983958i | \(0.442908\pi\) | |||||||
\(114\) | 12.8698 | − | 21.1446i | 1.20537 | − | 1.98037i | ||||
\(115\) | 4.86760 | + | 2.78499i | 0.453906 | + | 0.259701i | ||||
\(116\) | − | 16.1400i | − | 1.49856i | ||||||
\(117\) | −0.497187 | − | 0.961399i | −0.0459650 | − | 0.0888814i | ||||
\(118\) | −17.2011 | −1.58349 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −10.7486 | − | 19.4736i | −0.981211 | − | 1.77769i | ||||
\(121\) | 8.04610 | 0.731463 | ||||||||
\(122\) | − | 4.02197i | − | 0.364132i | ||||||
\(123\) | −3.89824 | − | 2.37270i | −0.351493 | − | 0.213939i | ||||
\(124\) | 11.9474i | 1.07291i | ||||||||
\(125\) | 0.131176 | + | 11.1796i | 0.0117328 | + | 0.999931i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 5.98643i | − | 0.531210i | −0.964082 | − | 0.265605i | \(-0.914428\pi\) | ||
0.964082 | − | 0.265605i | \(-0.0855716\pi\) | |||||||
\(128\) | 15.8289 | 1.39909 | ||||||||
\(129\) | 9.05993 | − | 14.8851i | 0.797682 | − | 1.31056i | ||||
\(130\) | 1.75615 | + | 1.00478i | 0.154025 | + | 0.0881248i | ||||
\(131\) | −14.5802 | −1.27388 | −0.636941 | − | 0.770912i | \(-0.719801\pi\) | ||||
−0.636941 | + | 0.770912i | \(0.719801\pi\) | |||||||
\(132\) | 6.63973 | − | 10.9088i | 0.577914 | − | 0.949488i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | − | 6.24693i | − | 0.539653i | ||||||
\(135\) | −6.45638 | + | 9.65998i | −0.555677 | + | 0.831399i | ||||
\(136\) | − | 14.6040i | − | 1.25229i | ||||||
\(137\) | −15.7133 | −1.34248 | −0.671240 | − | 0.741240i | \(-0.734238\pi\) | ||||
−0.671240 | + | 0.741240i | \(0.734238\pi\) | |||||||
\(138\) | −9.30622 | − | 5.66431i | −0.792198 | − | 0.482178i | ||||
\(139\) | − | 14.7324i | − | 1.24959i | −0.780790 | − | 0.624794i | \(-0.785183\pi\) | ||
0.780790 | − | 0.624794i | \(-0.214817\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 5.24385 | − | 8.61542i | 0.441612 | − | 0.725549i | ||||
\(142\) | − | 33.0525i | − | 2.77371i | ||||||
\(143\) | 0.620076i | 0.0518534i | ||||||||
\(144\) | 8.02555 | + | 15.5188i | 0.668796 | + | 1.29324i | ||||
\(145\) | 4.17783 | − | 7.30202i | 0.346950 | − | 0.606400i | ||||
\(146\) | −29.2022 | −2.41679 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 14.1811i | 1.16568i | ||||||||
\(149\) | 12.7026i | 1.04064i | 0.853972 | + | 0.520319i | \(0.174187\pi\) | ||||
−0.853972 | + | 0.520319i | \(0.825813\pi\) | |||||||
\(150\) | 0.333186 | − | 21.7172i | 0.0272046 | − | 1.77320i | ||||
\(151\) | 16.6936 | 1.35850 | 0.679252 | − | 0.733905i | \(-0.262304\pi\) | ||||
0.679252 | + | 0.733905i | \(0.262304\pi\) | |||||||
\(152\) | − | 32.7264i | − | 2.65446i | ||||||
\(153\) | −6.77613 | + | 3.50427i | −0.547818 | + | 0.283304i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −3.09259 | + | 5.40524i | −0.248403 | + | 0.434159i | ||||
\(156\) | −2.28995 | − | 1.39379i | −0.183342 | − | 0.111593i | ||||
\(157\) | −1.44313 | −0.115175 | −0.0575873 | − | 0.998340i | \(-0.518341\pi\) | ||||
−0.0575873 | + | 0.998340i | \(0.518341\pi\) | |||||||
\(158\) | 34.7852 | 2.76736 | ||||||||
\(159\) | −2.15177 | − | 1.30969i | −0.170646 | − | 0.103865i | ||||
\(160\) | −6.05456 | − | 3.46410i | −0.478655 | − | 0.273861i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 13.0460 | − | 18.4197i | 1.02499 | − | 1.44719i | ||||
\(163\) | − | 16.8619i | − | 1.32072i | −0.750947 | − | 0.660362i | \(-0.770403\pi\) | ||
0.750947 | − | 0.660362i | \(-0.229597\pi\) | |||||||
\(164\) | −11.3030 | −0.882616 | ||||||||
\(165\) | 5.82767 | − | 3.21664i | 0.453684 | − | 0.250415i | ||||
\(166\) | 8.78863i | 0.682130i | ||||||||
\(167\) | 7.20879i | 0.557833i | 0.960315 | + | 0.278916i | \(0.0899752\pi\) | ||||
−0.960315 | + | 0.278916i | \(0.910025\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.8698 | −0.989987 | ||||||||
\(170\) | 7.08187 | − | 12.3777i | 0.543155 | − | 0.949327i | ||||
\(171\) | −15.1847 | + | 7.85276i | −1.16120 | + | 0.600516i | ||||
\(172\) | − | 43.1595i | − | 3.29088i | ||||||
\(173\) | − | 8.98599i | − | 0.683192i | −0.939847 | − | 0.341596i | \(-0.889033\pi\) | ||
0.939847 | − | 0.341596i | \(-0.110967\pi\) | |||||||
\(174\) | −8.49719 | + | 13.9605i | −0.644170 | + | 1.05834i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | − | 10.0092i | − | 0.754473i | ||||||
\(177\) | 10.1475 | + | 6.17637i | 0.762734 | + | 0.464244i | ||||
\(178\) | −30.6170 | −2.29484 | ||||||||
\(179\) | − | 10.9620i | − | 0.819335i | −0.912235 | − | 0.409667i | \(-0.865645\pi\) | ||
0.912235 | − | 0.409667i | \(-0.134355\pi\) | |||||||
\(180\) | −1.22024 | + | 28.7519i | −0.0909513 | + | 2.14304i | ||||
\(181\) | − | 5.39306i | − | 0.400863i | −0.979708 | − | 0.200431i | \(-0.935766\pi\) | ||
0.979708 | − | 0.200431i | \(-0.0642344\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.44416 | + | 2.37270i | −0.106756 | + | 0.175395i | ||||
\(184\) | −14.4036 | −1.06185 | ||||||||
\(185\) | −3.67078 | + | 6.41579i | −0.269881 | + | 0.471698i | ||||
\(186\) | 6.28995 | − | 10.3341i | 0.461201 | − | 0.757734i | ||||
\(187\) | 4.37042 | 0.319597 | ||||||||
\(188\) | − | 24.9805i | − | 1.82189i | ||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.8698 | − | 27.7373i | 1.15132 | − | 2.01228i | ||||
\(191\) | − | 21.3180i | − | 1.54252i | −0.636521 | − | 0.771259i | \(-0.719627\pi\) | ||
0.636521 | − | 0.771259i | \(-0.280373\pi\) | |||||||
\(192\) | −5.65737 | − | 3.44341i | −0.408286 | − | 0.248507i | ||||
\(193\) | 13.9361i | 1.00314i | 0.865116 | + | 0.501571i | \(0.167244\pi\) | ||||
−0.865116 | + | 0.501571i | \(0.832756\pi\) | |||||||
\(194\) | −20.5340 | −1.47425 | ||||||||
\(195\) | −0.675229 | − | 1.22333i | −0.0483542 | − | 0.0876045i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.01202 | −0.143350 | −0.0716752 | − | 0.997428i | \(-0.522835\pi\) | ||||
−0.0716752 | + | 0.997428i | \(0.522835\pi\) | |||||||
\(198\) | −11.4863 | + | 5.94011i | −0.816293 | + | 0.422145i | ||||
\(199\) | − | 7.96983i | − | 0.564966i | −0.959272 | − | 0.282483i | \(-0.908842\pi\) | ||
0.959272 | − | 0.282483i | \(-0.0911581\pi\) | |||||||
\(200\) | −14.5519 | − | 24.7554i | −1.02897 | − | 1.75047i | ||||
\(201\) | −2.24307 | + | 3.68528i | −0.158214 | + | 0.259939i | ||||
\(202\) | −3.12728 | −0.220035 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −9.82374 | + | 16.1400i | −0.687799 | + | 1.13003i | ||||
\(205\) | −5.11368 | − | 2.92578i | −0.357155 | − | 0.204345i | ||||
\(206\) | 10.3982 | 0.724474 | ||||||||
\(207\) | 3.45618 | + | 6.68314i | 0.240221 | + | 0.464510i | ||||
\(208\) | −2.10111 | −0.145686 | ||||||||
\(209\) | 9.79371 | 0.677445 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.95390 | −0.341041 | −0.170520 | − | 0.985354i | \(-0.554545\pi\) | ||||
−0.170520 | + | 0.985354i | \(0.554545\pi\) | |||||||
\(212\) | −6.23909 | −0.428502 | ||||||||
\(213\) | −11.8681 | + | 19.4988i | −0.813190 | + | 1.33604i | ||||
\(214\) | 2.77764 | 0.189876 | ||||||||
\(215\) | 11.1718 | − | 19.5261i | 0.761912 | − | 1.33167i | ||||
\(216\) | 2.07203 | − | 29.7701i | 0.140984 | − | 2.02560i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 22.8569 | 1.54806 | ||||||||
\(219\) | 17.2274 | + | 10.4856i | 1.16412 | + | 0.708550i | ||||
\(220\) | 8.18747 | − | 14.3101i | 0.551999 | − | 0.964785i | ||||
\(221\) | − | 0.917427i | − | 0.0617128i | ||||||
\(222\) | 7.46590 | − | 12.2662i | 0.501078 | − | 0.823251i | ||||
\(223\) | 15.6534 | 1.04823 | 0.524114 | − | 0.851648i | \(-0.324397\pi\) | ||||
0.524114 | + | 0.851648i | \(0.324397\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −7.99450 | + | 12.6920i | −0.532966 | + | 0.846136i | ||||
\(226\) | −9.51230 | −0.632749 | ||||||||
\(227\) | 12.6120i | 0.837087i | 0.908197 | + | 0.418544i | \(0.137459\pi\) | ||||
−0.908197 | + | 0.418544i | \(0.862541\pi\) | |||||||
\(228\) | −22.0141 | + | 36.1683i | −1.45792 | + | 2.39530i | ||||
\(229\) | − | 5.99233i | − | 0.395984i | −0.980204 | − | 0.197992i | \(-0.936558\pi\) | ||
0.980204 | − | 0.197992i | \(-0.0634421\pi\) | |||||||
\(230\) | −12.2078 | − | 6.98468i | −0.804961 | − | 0.460556i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 21.6073i | 1.41859i | ||||||||
\(233\) | −21.8033 | −1.42838 | −0.714190 | − | 0.699952i | \(-0.753205\pi\) | ||||
−0.714190 | + | 0.699952i | \(0.753205\pi\) | |||||||
\(234\) | 1.24693 | + | 2.41117i | 0.0815146 | + | 0.157623i | ||||
\(235\) | 6.46621 | − | 11.3016i | 0.421809 | − | 0.737238i | ||||
\(236\) | 29.4229 | 1.91526 | ||||||||
\(237\) | −20.5210 | − | 12.4903i | −1.33298 | − | 0.811330i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | − | 24.9069i | − | 1.61109i | −0.592533 | − | 0.805546i | \(-0.701872\pi\) | ||
0.592533 | − | 0.805546i | \(-0.298128\pi\) | |||||||
\(240\) | 10.8995 | + | 19.7469i | 0.703560 | + | 1.27466i | ||||
\(241\) | − | 17.0265i | − | 1.09678i | −0.836224 | − | 0.548388i | \(-0.815242\pi\) | ||
0.836224 | − | 0.548388i | \(-0.184758\pi\) | |||||||
\(242\) | −20.1794 | −1.29718 | ||||||||
\(243\) | −14.3102 | + | 6.18201i | −0.918002 | + | 0.396576i | ||||
\(244\) | 6.87967i | 0.440426i | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.77670 | + | 5.95067i | 0.623339 | + | 0.379401i | ||||
\(247\) | − | 2.05587i | − | 0.130812i | ||||||
\(248\) | − | 15.9945i | − | 1.01565i | ||||||
\(249\) | 3.15572 | − | 5.18471i | 0.199985 | − | 0.328568i | ||||
\(250\) | −0.328987 | − | 28.0381i | −0.0208070 | − | 1.77328i | ||||
\(251\) | 27.3925 | 1.72900 | 0.864501 | − | 0.502631i | \(-0.167635\pi\) | ||||
0.864501 | + | 0.502631i | \(0.167635\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − | 4.31044i | − | 0.270995i | ||||||
\(254\) | 15.0138i | 0.942051i | ||||||||
\(255\) | −8.62227 | + | 4.75915i | −0.539948 | + | 0.298030i | ||||
\(256\) | −32.0511 | −2.00319 | ||||||||
\(257\) | 30.3882i | 1.89557i | 0.318915 | + | 0.947783i | \(0.396682\pi\) | ||||
−0.318915 | + | 0.947783i | \(0.603318\pi\) | |||||||
\(258\) | −22.7221 | + | 37.3314i | −1.41461 | + | 2.32415i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −3.00393 | − | 1.71869i | −0.186296 | − | 0.106589i | ||||
\(261\) | 10.0256 | − | 5.18471i | 0.620566 | − | 0.320926i | ||||
\(262\) | 36.5669 | 2.25911 | ||||||||
\(263\) | 19.3366 | 1.19235 | 0.596174 | − | 0.802855i | \(-0.296687\pi\) | ||||
0.596174 | + | 0.802855i | \(0.296687\pi\) | |||||||
\(264\) | −8.88888 | + | 14.6040i | −0.547073 | + | 0.898817i | ||||
\(265\) | −2.82268 | − | 1.61499i | −0.173396 | − | 0.0992078i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 18.0620 | + | 10.9936i | 1.10538 | + | 0.672796i | ||||
\(268\) | 10.6855i | 0.652721i | ||||||||
\(269\) | 22.0016 | 1.34146 | 0.670729 | − | 0.741702i | \(-0.265981\pi\) | ||||
0.670729 | + | 0.741702i | \(0.265981\pi\) | |||||||
\(270\) | 16.1924 | − | 24.2270i | 0.985441 | − | 1.47441i | ||||
\(271\) | − | 15.0577i | − | 0.914691i | −0.889289 | − | 0.457345i | \(-0.848800\pi\) | ||
0.889289 | − | 0.457345i | \(-0.151200\pi\) | |||||||
\(272\) | 14.8090i | 0.897929i | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 39.4086 | 2.38076 | ||||||||
\(275\) | 7.40832 | − | 4.35481i | 0.446738 | − | 0.262605i | ||||
\(276\) | 15.9185 | + | 9.68892i | 0.958180 | + | 0.583205i | ||||
\(277\) | 1.67599i | 0.100700i | 0.998732 | + | 0.0503502i | \(0.0160338\pi\) | ||||
−0.998732 | + | 0.0503502i | \(0.983966\pi\) | |||||||
\(278\) | 36.9486i | 2.21603i | ||||||||
\(279\) | −7.42130 | + | 3.83792i | −0.444302 | + | 0.229770i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 2.10086i | − | 0.125327i | −0.998035 | − | 0.0626633i | \(-0.980041\pi\) | ||
0.998035 | − | 0.0626633i | \(-0.0199594\pi\) | |||||||
\(282\) | −13.1514 | + | 21.6073i | −0.783157 | + | 1.28669i | ||||
\(283\) | −5.00401 | −0.297457 | −0.148729 | − | 0.988878i | \(-0.547518\pi\) | ||||
−0.148729 | + | 0.988878i | \(0.547518\pi\) | |||||||
\(284\) | 56.5371i | 3.35486i | ||||||||
\(285\) | −19.3217 | + | 10.6648i | −1.14452 | + | 0.631730i | ||||
\(286\) | − | 1.55514i | − | 0.0919571i | ||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −4.29897 | − | 8.31281i | −0.253319 | − | 0.489837i | ||||
\(289\) | 10.5338 | 0.619635 | ||||||||
\(290\) | −10.4779 | + | 18.3133i | −0.615284 | + | 1.07539i | ||||
\(291\) | 12.1137 | + | 7.37310i | 0.710117 | + | 0.432219i | ||||
\(292\) | 49.9510 | 2.92316 | ||||||||
\(293\) | − | 17.2734i | − | 1.00912i | −0.863376 | − | 0.504561i | \(-0.831654\pi\) | ||
0.863376 | − | 0.504561i | \(-0.168346\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 13.3114 | + | 7.61610i | 0.775022 | + | 0.443427i | ||||
\(296\) | − | 18.9848i | − | 1.10347i | ||||||
\(297\) | 8.90903 | + | 0.620076i | 0.516955 | + | 0.0359805i | ||||
\(298\) | − | 31.8578i | − | 1.84547i | ||||||
\(299\) | −0.904837 | −0.0523280 | ||||||||
\(300\) | −0.569922 | + | 37.1476i | −0.0329045 | + | 2.14472i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −41.8671 | −2.40918 | ||||||||
\(303\) | 1.84489 | + | 1.12291i | 0.105986 | + | 0.0645093i | ||||
\(304\) | 33.1857i | 1.90333i | ||||||||
\(305\) | −1.78080 | + | 3.11249i | −0.101968 | + | 0.178220i | ||||
\(306\) | 16.9944 | − | 8.78863i | 0.971504 | − | 0.502413i | ||||
\(307\) | 10.2324 | 0.583994 | 0.291997 | − | 0.956419i | \(-0.405680\pi\) | ||||
0.291997 | + | 0.956419i | \(0.405680\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.13423 | − | 3.73365i | −0.348964 | − | 0.212400i | ||||
\(310\) | 7.75615 | − | 13.5562i | 0.440520 | − | 0.769941i | ||||
\(311\) | −10.4779 | −0.594148 | −0.297074 | − | 0.954855i | \(-0.596011\pi\) | ||||
−0.297074 | + | 0.954855i | \(0.596011\pi\) | |||||||
\(312\) | 3.06564 | + | 1.86593i | 0.173558 | + | 0.105638i | ||||
\(313\) | −0.256176 | −0.0144799 | −0.00723997 | − | 0.999974i | \(-0.502305\pi\) | ||||
−0.00723997 | + | 0.999974i | \(0.502305\pi\) | |||||||
\(314\) | 3.61935 | 0.204252 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −59.5008 | −3.34718 | ||||||||
\(317\) | −30.9385 | −1.73768 | −0.868840 | − | 0.495094i | \(-0.835134\pi\) | ||||
−0.868840 | + | 0.495094i | \(0.835134\pi\) | |||||||
\(318\) | 5.39659 | + | 3.28468i | 0.302626 | + | 0.184196i | ||||
\(319\) | −6.46621 | −0.362038 | ||||||||
\(320\) | −7.42130 | − | 4.24608i | −0.414863 | − | 0.237363i | ||||
\(321\) | −1.63862 | − | 0.997363i | −0.0914591 | − | 0.0556674i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −14.4902 | −0.806256 | ||||||||
\(324\) | −22.3155 | + | 31.5073i | −1.23975 | + | 1.75041i | ||||
\(325\) | −0.914151 | − | 1.55514i | −0.0507080 | − | 0.0862634i | ||||
\(326\) | 42.2892i | 2.34218i | ||||||||
\(327\) | −13.4841 | − | 8.20719i | −0.745670 | − | 0.453858i | ||||
\(328\) | 15.1318 | 0.835514 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −14.6157 | + | 8.06726i | −0.804566 | + | 0.444088i | ||||
\(331\) | −8.37902 | −0.460553 | −0.230276 | − | 0.973125i | \(-0.573963\pi\) | ||||
−0.230276 | + | 0.973125i | \(0.573963\pi\) | |||||||
\(332\) | − | 15.0331i | − | 0.825051i | ||||||
\(333\) | −8.80877 | + | 4.55545i | −0.482718 | + | 0.249637i | ||||
\(334\) | − | 18.0795i | − | 0.989264i | ||||||
\(335\) | −2.76594 | + | 4.83432i | −0.151120 | + | 0.264127i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 11.7454i | − | 0.639810i | −0.947450 | − | 0.319905i | \(-0.896349\pi\) | ||
0.947450 | − | 0.319905i | \(-0.103651\pi\) | |||||||
\(338\) | 32.2772 | 1.75565 | ||||||||
\(339\) | 5.61163 | + | 3.41556i | 0.304782 | + | 0.185508i | ||||
\(340\) | −12.1137 | + | 21.1723i | −0.656957 | + | 1.14823i | ||||
\(341\) | 4.78654 | 0.259205 | ||||||||
\(342\) | 38.0829 | − | 19.6945i | 2.05929 | − | 1.06496i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 57.7794i | 3.11526i | ||||||||
\(345\) | 4.69384 | + | 8.50394i | 0.252708 | + | 0.457837i | ||||
\(346\) | 22.5367i | 1.21158i | ||||||||
\(347\) | −0.442059 | −0.0237310 | −0.0118655 | − | 0.999930i | \(-0.503777\pi\) | ||||
−0.0118655 | + | 0.999930i | \(0.503777\pi\) | |||||||
\(348\) | 14.5346 | − | 23.8798i | 0.779137 | − | 1.28009i | ||||
\(349\) | 21.7405i | 1.16374i | 0.813282 | + | 0.581870i | \(0.197679\pi\) | ||||
−0.813282 | + | 0.581870i | \(0.802321\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0.130165 | − | 1.87016i | 0.00694768 | − | 0.0998219i | ||||
\(352\) | 5.36153i | 0.285771i | ||||||||
\(353\) | − | 22.7835i | − | 1.21264i | −0.795220 | − | 0.606321i | \(-0.792645\pi\) | ||
0.795220 | − | 0.606321i | \(-0.207355\pi\) | |||||||
\(354\) | −25.4497 | − | 15.4902i | −1.35264 | − | 0.823294i | ||||
\(355\) | −14.6346 | + | 25.5784i | −0.776724 | + | 1.35756i | ||||
\(356\) | 52.3709 | 2.77565 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 27.4923i | 1.45301i | ||||||||
\(359\) | − | 25.0230i | − | 1.32067i | −0.750973 | − | 0.660333i | \(-0.770415\pi\) | ||
0.750973 | − | 0.660333i | \(-0.229585\pi\) | |||||||
\(360\) | 1.63359 | − | 38.4914i | 0.0860975 | − | 2.02868i | ||||
\(361\) | −13.4712 | −0.709011 | ||||||||
\(362\) | 13.5257i | 0.710893i | ||||||||
\(363\) | 11.9045 | + | 7.24579i | 0.624825 | + | 0.380305i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 22.5987 | + | 12.9298i | 1.18287 | + | 0.676777i | ||||
\(366\) | 3.62192 | − | 5.95067i | 0.189321 | − | 0.311046i | ||||
\(367\) | −21.3471 | −1.11431 | −0.557156 | − | 0.830408i | \(-0.688107\pi\) | ||||
−0.557156 | + | 0.830408i | \(0.688107\pi\) | |||||||
\(368\) | 14.6058 | 0.761380 | ||||||||
\(369\) | −3.63091 | − | 7.02100i | −0.189017 | − | 0.365499i | ||||
\(370\) | 9.20623 | − | 16.0907i | 0.478609 | − | 0.836513i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −10.7591 | + | 17.6767i | −0.557832 | + | 0.916495i | ||||
\(373\) | − | 14.1348i | − | 0.731872i | −0.930640 | − | 0.365936i | \(-0.880749\pi\) | ||
0.930640 | − | 0.365936i | \(-0.119251\pi\) | |||||||
\(374\) | −10.9609 | −0.566775 | ||||||||
\(375\) | −9.87351 | + | 16.6587i | −0.509866 | + | 0.860254i | ||||
\(376\) | 33.4425i | 1.72466i | ||||||||
\(377\) | 1.35737i | 0.0699081i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −9.53880 | −0.489975 | −0.244988 | − | 0.969526i | \(-0.578784\pi\) | ||||
−0.244988 | + | 0.969526i | \(0.578784\pi\) | |||||||
\(380\) | −27.1457 | + | 47.4453i | −1.39254 | + | 2.43389i | ||||
\(381\) | 5.39099 | − | 8.85716i | 0.276189 | − | 0.453766i | ||||
\(382\) | 53.4651i | 2.73551i | ||||||||
\(383\) | − | 15.7704i | − | 0.805831i | −0.915237 | − | 0.402916i | \(-0.867997\pi\) | ||
0.915237 | − | 0.402916i | \(-0.132003\pi\) | |||||||
\(384\) | 23.4195 | + | 14.2545i | 1.19512 | + | 0.727422i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | − | 34.9514i | − | 1.77898i | ||||||
\(387\) | 26.8090 | − | 13.8643i | 1.36278 | − | 0.704761i | ||||
\(388\) | 35.1238 | 1.78314 | ||||||||
\(389\) | − | 34.1501i | − | 1.73148i | −0.500494 | − | 0.865740i | \(-0.666848\pi\) | ||
0.500494 | − | 0.865740i | \(-0.333152\pi\) | |||||||
\(390\) | 1.69346 | + | 3.06808i | 0.0857517 | + | 0.155358i | ||||
\(391\) | 6.37747i | 0.322522i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −21.5721 | − | 13.1300i | −1.08817 | − | 0.662322i | ||||
\(394\) | 5.04610 | 0.254219 | ||||||||
\(395\) | −26.9193 | − | 15.4018i | −1.35446 | − | 0.774948i | ||||
\(396\) | 19.6475 | − | 10.1607i | 0.987323 | − | 0.510594i | ||||
\(397\) | 4.28244 | 0.214930 | 0.107465 | − | 0.994209i | \(-0.465727\pi\) | ||||
0.107465 | + | 0.994209i | \(0.465727\pi\) | |||||||
\(398\) | 19.9881i | 1.00191i | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 14.7562 | + | 25.1029i | 0.737808 | + | 1.25514i | ||||
\(401\) | − | 12.5072i | − | 0.624580i | −0.949987 | − | 0.312290i | \(-0.898904\pi\) | ||
0.949987 | − | 0.312290i | \(-0.101096\pi\) | |||||||
\(402\) | 5.62558 | − | 9.24258i | 0.280578 | − | 0.460978i | ||||
\(403\) | − | 1.00478i | − | 0.0500515i | ||||||
\(404\) | 5.34928 | 0.266136 | ||||||||
\(405\) | −18.2516 | + | 8.47813i | −0.906930 | + | 0.421282i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.68142 | 0.281617 | ||||||||
\(408\) | 13.1514 | − | 21.6073i | 0.651094 | − | 1.06972i | ||||
\(409\) | − | 6.45731i | − | 0.319293i | −0.987174 | − | 0.159647i | \(-0.948965\pi\) | ||
0.987174 | − | 0.159647i | \(-0.0510355\pi\) | |||||||
\(410\) | 12.8250 | + | 7.33779i | 0.633381 | + | 0.362388i | ||||
\(411\) | −23.2485 | − | 14.1504i | −1.14676 | − | 0.697987i | ||||
\(412\) | −17.7863 | −0.876267 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −8.66802 | − | 16.7611i | −0.426010 | − | 0.823766i | ||||
\(415\) | 3.89133 | − | 6.80127i | 0.191018 | − | 0.333861i | ||||
\(416\) | 1.12548 | 0.0551812 | ||||||||
\(417\) | 13.2671 | − | 21.7972i | 0.649691 | − | 1.06741i | ||||
\(418\) | −24.5624 | −1.20139 | ||||||||
\(419\) | −10.0144 | −0.489233 | −0.244617 | − | 0.969620i | \(-0.578662\pi\) | ||||
−0.244617 | + | 0.969620i | \(0.578662\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.7858 | 0.866825 | 0.433413 | − | 0.901196i | \(-0.357309\pi\) | ||||
0.433413 | + | 0.901196i | \(0.357309\pi\) | |||||||
\(422\) | 12.4243 | 0.604804 | ||||||||
\(423\) | 15.5170 | − | 8.02459i | 0.754461 | − | 0.390169i | ||||
\(424\) | 8.35252 | 0.405634 | ||||||||
\(425\) | −10.9609 | + | 6.44312i | −0.531682 | + | 0.312537i | ||||
\(426\) | 29.7649 | − | 48.9025i | 1.44212 | − | 2.36934i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −4.75121 | −0.229659 | ||||||||
\(429\) | −0.558400 | + | 0.917427i | −0.0269598 | + | 0.0442938i | ||||
\(430\) | −28.0187 | + | 48.9711i | −1.35118 | + | 2.36160i | ||||
\(431\) | 2.93906i | 0.141569i | 0.997492 | + | 0.0707847i | \(0.0225503\pi\) | ||||
−0.997492 | + | 0.0707847i | \(0.977450\pi\) | |||||||
\(432\) | −2.10111 | + | 30.1880i | −0.101090 | + | 1.45242i | ||||
\(433\) | 31.6675 | 1.52184 | 0.760922 | − | 0.648843i | \(-0.224747\pi\) | ||||
0.760922 | + | 0.648843i | \(0.224747\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 12.7570 | − | 7.04135i | 0.611651 | − | 0.337607i | ||||
\(436\) | −39.0972 | −1.87242 | ||||||||
\(437\) | 14.2913i | 0.683647i | ||||||||
\(438\) | −43.2058 | − | 26.2976i | −2.06445 | − | 1.25655i | ||||
\(439\) | − | 21.4950i | − | 1.02590i | −0.858418 | − | 0.512951i | \(-0.828552\pi\) | ||
0.858418 | − | 0.512951i | \(-0.171448\pi\) | |||||||
\(440\) | −10.9609 | + | 19.1575i | −0.522541 | + | 0.913297i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.30088i | 0.109442i | ||||||||
\(443\) | 26.2694 | 1.24810 | 0.624048 | − | 0.781386i | \(-0.285487\pi\) | ||||
0.624048 | + | 0.781386i | \(0.285487\pi\) | |||||||
\(444\) | −12.7706 | + | 20.9815i | −0.606065 | + | 0.995739i | ||||
\(445\) | 23.6936 | + | 13.5562i | 1.12318 | + | 0.642626i | ||||
\(446\) | −39.2583 | −1.85893 | ||||||||
\(447\) | −11.4391 | + | 18.7940i | −0.541052 | + | 0.888926i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 36.0069i | 1.69927i | 0.527369 | + | 0.849636i | \(0.323179\pi\) | ||||
−0.527369 | + | 0.849636i | \(0.676821\pi\) | |||||||
\(450\) | 20.0500 | − | 31.8313i | 0.945166 | − | 1.50054i | ||||
\(451\) | 4.52835i | 0.213232i | ||||||||
\(452\) | 16.2710 | 0.765323 | ||||||||
\(453\) | 24.6988 | + | 15.0331i | 1.16045 | + | 0.706318i | ||||
\(454\) | − | 31.6306i | − | 1.48450i | ||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 29.4712 | − | 48.4200i | 1.38012 | − | 2.26747i | ||||
\(457\) | 18.2465i | 0.853537i | 0.904361 | + | 0.426768i | \(0.140348\pi\) | ||||
−0.904361 | + | 0.426768i | \(0.859652\pi\) | |||||||
\(458\) | 15.0286i | 0.702242i | ||||||||
\(459\) | −13.1813 | − | 0.917427i | −0.615249 | − | 0.0428218i | ||||
\(460\) | 20.8818 | + | 11.9474i | 0.973617 | + | 0.557052i | ||||
\(461\) | −22.8072 | −1.06224 | −0.531119 | − | 0.847298i | \(-0.678228\pi\) | ||||
−0.531119 | + | 0.847298i | \(0.678228\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 23.3718i | − | 1.08618i | −0.839674 | − | 0.543090i | \(-0.817254\pi\) | ||
0.839674 | − | 0.543090i | \(-0.182746\pi\) | |||||||
\(464\) | − | 21.9106i | − | 1.01717i | ||||||
\(465\) | −9.44322 | + | 5.21228i | −0.437919 | + | 0.241714i | ||||
\(466\) | 54.6821 | 2.53310 | ||||||||
\(467\) | − | 10.8894i | − | 0.503903i | −0.967740 | − | 0.251951i | \(-0.918928\pi\) | ||
0.967740 | − | 0.251951i | \(-0.0810723\pi\) | |||||||
\(468\) | −2.13291 | − | 4.12435i | −0.0985936 | − | 0.190648i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −16.2171 | + | 28.3443i | −0.748039 | + | 1.30742i | ||||
\(471\) | −2.13517 | − | 1.29959i | −0.0983836 | − | 0.0598820i | ||||
\(472\) | −39.3896 | −1.81305 | ||||||||
\(473\) | −17.2911 | −0.795045 | ||||||||
\(474\) | 51.4661 | + | 31.3253i | 2.36392 | + | 1.43882i | ||||
\(475\) | −24.5624 | + | 14.4384i | −1.12700 | + | 0.662481i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −2.00421 | − | 3.87549i | −0.0917663 | − | 0.177446i | ||||
\(478\) | 62.4659i | 2.85712i | ||||||||
\(479\) | 10.2767 | 0.469555 | 0.234777 | − | 0.972049i | \(-0.424564\pi\) | ||||
0.234777 | + | 0.972049i | \(0.424564\pi\) | |||||||
\(480\) | −5.83842 | − | 10.5776i | −0.266486 | − | 0.482800i | ||||
\(481\) | − | 1.19263i | − | 0.0543792i | ||||||
\(482\) | 42.7021i | 1.94503i | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 34.5173 | 1.56897 | ||||||||
\(485\) | 15.8906 | + | 9.09179i | 0.721557 | + | 0.412837i | ||||
\(486\) | 35.8897 | − | 15.5043i | 1.62799 | − | 0.703291i | ||||
\(487\) | − | 13.8475i | − | 0.627492i | −0.949507 | − | 0.313746i | \(-0.898416\pi\) | ||
0.949507 | − | 0.313746i | \(-0.101584\pi\) | |||||||
\(488\) | − | 9.21010i | − | 0.416921i | ||||||
\(489\) | 15.1847 | − | 24.9478i | 0.686676 | − | 1.12818i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − | 13.5981i | − | 0.613672i | −0.951762 | − | 0.306836i | \(-0.900730\pi\) | ||
0.951762 | − | 0.306836i | \(-0.0992704\pi\) | |||||||
\(492\) | −16.7232 | − | 10.1787i | −0.753942 | − | 0.458893i | ||||
\(493\) | 9.56701 | 0.430876 | ||||||||
\(494\) | 5.15608i | 0.231983i | ||||||||
\(495\) | 11.5190 | + | 0.488868i | 0.517739 | + | 0.0219730i | ||||
\(496\) | 16.2190i | 0.728256i | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −7.91447 | + | 13.0031i | −0.354656 | + | 0.582684i | ||||
\(499\) | 36.2109 | 1.62102 | 0.810511 | − | 0.585723i | \(-0.199190\pi\) | ||||
0.810511 | + | 0.585723i | \(0.199190\pi\) | |||||||
\(500\) | 0.562740 | + | 47.9597i | 0.0251665 | + | 2.14482i | ||||
\(501\) | −6.49176 | + | 10.6657i | −0.290030 | + | 0.476508i | ||||
\(502\) | −68.6998 | −3.06622 | ||||||||
\(503\) | − | 0.513189i | − | 0.0228819i | −0.999935 | − | 0.0114410i | \(-0.996358\pi\) | ||
0.999935 | − | 0.0114410i | \(-0.00364185\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.42011 | + | 1.38466i | 0.107693 | + | 0.0616165i | ||||
\(506\) | 10.8105i | 0.480584i | ||||||||
\(507\) | −19.0414 | − | 11.5897i | −0.845660 | − | 0.514718i | ||||
\(508\) | − | 25.6815i | − | 1.13943i | ||||||
\(509\) | 18.8040 | 0.833475 | 0.416737 | − | 0.909027i | \(-0.363173\pi\) | ||||
0.416737 | + | 0.909027i | \(0.363173\pi\) | |||||||
\(510\) | 21.6245 | − | 11.9358i | 0.957547 | − | 0.528528i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 48.7256 | 2.15339 | ||||||||
\(513\) | −29.5380 | − | 2.05587i | −1.30414 | − | 0.0907689i | ||||
\(514\) | − | 76.2130i | − | 3.36161i | ||||||
\(515\) | −8.04683 | − | 4.60397i | −0.354586 | − | 0.202875i | ||||
\(516\) | 38.8666 | − | 63.8562i | 1.71101 | − | 2.81111i | ||||
\(517\) | −10.0080 | −0.440152 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 8.09219 | − | 13.2951i | 0.355208 | − | 0.583591i | ||||
\(520\) | 4.02149 | + | 2.30088i | 0.176354 | + | 0.100900i | ||||
\(521\) | −30.3694 | −1.33051 | −0.665254 | − | 0.746617i | \(-0.731677\pi\) | ||||
−0.665254 | + | 0.746617i | \(0.731677\pi\) | |||||||
\(522\) | −25.1438 | + | 13.0031i | −1.10052 | + | 0.569132i | ||||
\(523\) | 39.0288 | 1.70661 | 0.853305 | − | 0.521411i | \(-0.174594\pi\) | ||||
0.853305 | + | 0.521411i | \(0.174594\pi\) | |||||||
\(524\) | −62.5485 | −2.73244 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −48.4958 | −2.11452 | ||||||||
\(527\) | −7.08187 | −0.308491 | ||||||||
\(528\) | 9.01364 | − | 14.8090i | 0.392268 | − | 0.644480i | ||||
\(529\) | −16.7101 | −0.726524 | ||||||||
\(530\) | 7.07920 | + | 4.05035i | 0.307501 | + | 0.175936i | ||||
\(531\) | 9.45162 | + | 18.2764i | 0.410165 | + | 0.793127i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 0.950580 | 0.0411742 | ||||||||
\(534\) | −45.2990 | − | 27.5716i | −1.96028 | − | 1.19314i | ||||
\(535\) | −2.14954 | − | 1.22985i | −0.0929325 | − | 0.0531711i | ||||
\(536\) | − | 14.3051i | − | 0.617888i | ||||||
\(537\) | 9.87161 | − | 16.2186i | 0.425992 | − | 0.699886i | ||||
\(538\) | −55.1794 | −2.37895 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −27.6975 | + | 41.4408i | −1.19191 | + | 1.78333i | ||||
\(541\) | −10.5123 | −0.451959 | −0.225980 | − | 0.974132i | \(-0.572558\pi\) | ||||
−0.225980 | + | 0.974132i | \(0.572558\pi\) | |||||||
\(542\) | 37.7644i | 1.62212i | ||||||||
\(543\) | 4.85663 | − | 7.97924i | 0.208418 | − | 0.342422i | ||||
\(544\) | − | 7.93260i | − | 0.340108i | ||||||
\(545\) | −17.6883 | − | 10.1203i | −0.757683 | − | 0.433506i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 25.2465i | 1.07946i | 0.841837 | + | 0.539731i | \(0.181474\pi\) | ||||
−0.841837 | + | 0.539731i | \(0.818526\pi\) | |||||||
\(548\) | −67.4093 | −2.87958 | ||||||||
\(549\) | −4.27339 | + | 2.20998i | −0.182384 | + | 0.0943197i | ||||
\(550\) | −18.5799 | + | 10.9218i | −0.792249 | + | 0.465706i | ||||
\(551\) | 21.4388 | 0.913324 | ||||||||
\(552\) | −21.3107 | − | 12.9710i | −0.907045 | − | 0.552081i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | − | 4.20334i | − | 0.178583i | ||||||
\(555\) | −11.2087 | + | 6.18676i | −0.475783 | + | 0.262613i | ||||
\(556\) | − | 63.2013i | − | 2.68033i | ||||||
\(557\) | 20.3489 | 0.862212 | 0.431106 | − | 0.902301i | \(-0.358124\pi\) | ||||
0.431106 | + | 0.902301i | \(0.358124\pi\) | |||||||
\(558\) | 18.6124 | − | 9.62542i | 0.787928 | − | 0.407476i | ||||
\(559\) | 3.62970i | 0.153520i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 6.46621 | + | 3.93571i | 0.273003 | + | 0.166166i | ||||
\(562\) | 5.26890i | 0.222255i | ||||||||
\(563\) | − | 35.6652i | − | 1.50311i | −0.659671 | − | 0.751555i | \(-0.729304\pi\) | ||
0.659671 | − | 0.751555i | \(-0.270696\pi\) | |||||||
\(564\) | 22.4958 | − | 36.9597i | 0.947245 | − | 1.55628i | ||||
\(565\) | 7.36129 | + | 4.21174i | 0.309692 | + | 0.177189i | ||||
\(566\) | 12.5499 | 0.527513 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | − | 75.6885i | − | 3.17582i | ||||||
\(569\) | 25.1745i | 1.05537i | 0.849440 | + | 0.527685i | \(0.176940\pi\) | ||||
−0.849440 | + | 0.527685i | \(0.823060\pi\) | |||||||
\(570\) | 48.4585 | − | 26.7471i | 2.02970 | − | 1.12031i | ||||
\(571\) | 4.98040 | 0.208423 | 0.104212 | − | 0.994555i | \(-0.466768\pi\) | ||||
0.104212 | + | 0.994555i | \(0.466768\pi\) | |||||||
\(572\) | 2.66009i | 0.111224i | ||||||||
\(573\) | 19.1976 | − | 31.5409i | 0.801992 | − | 1.31764i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 6.35469 | + | 10.8105i | 0.265009 | + | 0.450828i | ||||
\(576\) | −5.26940 | − | 10.1893i | −0.219558 | − | 0.424555i | ||||
\(577\) | 21.9323 | 0.913054 | 0.456527 | − | 0.889710i | \(-0.349093\pi\) | ||||
0.456527 | + | 0.889710i | \(0.349093\pi\) | |||||||
\(578\) | −26.4185 | −1.09886 | ||||||||
\(579\) | −12.5499 | + | 20.6190i | −0.521557 | + | 0.856897i | ||||
\(580\) | 17.9227 | − | 31.3253i | 0.744199 | − | 1.30071i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −30.3808 | − | 18.4915i | −1.25933 | − | 0.766499i | ||||
\(583\) | 2.49958i | 0.103522i | ||||||||
\(584\) | −66.8715 | −2.76716 | ||||||||
\(585\) | 0.102622 | − | 2.41803i | 0.00424289 | − | 0.0999734i | ||||
\(586\) | 43.3213i | 1.78958i | ||||||||
\(587\) | − | 31.8719i | − | 1.31549i | −0.753240 | − | 0.657746i | \(-0.771510\pi\) | ||
0.753240 | − | 0.657746i | \(-0.228490\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −15.8698 | −0.653905 | ||||||||
\(590\) | −33.3848 | − | 19.1010i | −1.37443 | − | 0.786376i | ||||
\(591\) | −2.97686 | − | 1.81189i | −0.122452 | − | 0.0745313i | ||||
\(592\) | 19.2513i | 0.791224i | ||||||||
\(593\) | 32.9073i | 1.35134i | 0.737205 | + | 0.675669i | \(0.236145\pi\) | ||||
−0.737205 | + | 0.675669i | \(0.763855\pi\) | |||||||
\(594\) | −22.3436 | − | 1.55514i | −0.916771 | − | 0.0638080i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 54.4935i | 2.23214i | ||||||||
\(597\) | 7.17710 | − | 11.7917i | 0.293739 | − | 0.482601i | ||||
\(598\) | 2.26931 | 0.0927989 | ||||||||
\(599\) | − | 21.8163i | − | 0.891392i | −0.895184 | − | 0.445696i | \(-0.852956\pi\) | ||
0.895184 | − | 0.445696i | \(-0.147044\pi\) | |||||||
\(600\) | 0.762979 | − | 49.7311i | 0.0311485 | − | 2.03026i | ||||
\(601\) | − | 23.9262i | − | 0.975969i | −0.872852 | − | 0.487985i | \(-0.837732\pi\) | ||
0.872852 | − | 0.487985i | \(-0.162268\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −6.63744 | + | 3.43255i | −0.270297 | + | 0.139784i | ||||
\(604\) | 71.6145 | 2.91395 | ||||||||
\(605\) | 15.6163 | + | 8.93480i | 0.634891 | + | 0.363251i | ||||
\(606\) | −4.62693 | − | 2.81622i | −0.187956 | − | 0.114401i | ||||
\(607\) | −44.2982 | −1.79801 | −0.899005 | − | 0.437939i | \(-0.855708\pi\) | ||||
−0.899005 | + | 0.437939i | \(0.855708\pi\) | |||||||
\(608\) | − | 17.7763i | − | 0.720922i | ||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.46621 | − | 7.80604i | 0.180831 | − | 0.316057i | ||||
\(611\) | 2.10086i | 0.0849916i | ||||||||
\(612\) | −29.0692 | + | 15.0331i | −1.17505 | + | 0.607679i | ||||
\(613\) | − | 8.04230i | − | 0.324825i | −0.986723 | − | 0.162413i | \(-0.948072\pi\) | ||
0.986723 | − | 0.162413i | \(-0.0519276\pi\) | |||||||
\(614\) | −25.6626 | −1.03566 | ||||||||
\(615\) | −4.93113 | − | 8.93386i | −0.198842 | − | 0.360248i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −13.1311 | −0.528637 | −0.264318 | − | 0.964435i | \(-0.585147\pi\) | ||||
−0.264318 | + | 0.964435i | \(0.585147\pi\) | |||||||
\(618\) | 15.3845 | + | 9.36390i | 0.618855 | + | 0.376671i | ||||
\(619\) | 25.1620i | 1.01134i | 0.862726 | + | 0.505672i | \(0.168755\pi\) | ||||
−0.862726 | + | 0.505672i | \(0.831245\pi\) | |||||||
\(620\) | −13.2671 | + | 23.1882i | −0.532818 | + | 0.931260i | ||||
\(621\) | −0.904837 | + | 13.0004i | −0.0363098 | + | 0.521687i | ||||
\(622\) | 26.2783 | 1.05367 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −3.10867 | − | 1.89212i | −0.124447 | − | 0.0757455i | ||||
\(625\) | −12.1598 | + | 21.8435i | −0.486391 | + | 0.873741i | ||||
\(626\) | 0.642484 | 0.0256788 | ||||||||
\(627\) | 14.4902 | + | 8.81958i | 0.578682 | + | 0.352220i | ||||
\(628\) | −6.19097 | −0.247046 | ||||||||
\(629\) | −8.40588 | −0.335164 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −9.42011 | −0.375009 | −0.187504 | − | 0.982264i | \(-0.560040\pi\) | ||||
−0.187504 | + | 0.982264i | \(0.560040\pi\) | |||||||
\(632\) | 79.6562 | 3.16856 | ||||||||
\(633\) | −7.32950 | − | 4.46116i | −0.291321 | − | 0.177315i | ||||
\(634\) | 77.5930 | 3.08161 | ||||||||
\(635\) | 6.64764 | − | 11.6188i | 0.263804 | − | 0.461076i | ||||
\(636\) | −9.23097 | − | 5.61851i | −0.366032 | − | 0.222788i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 16.2171 | 0.642041 | ||||||||
\(639\) | −35.1187 | + | 18.1616i | −1.38927 | + | 0.718462i | ||||
\(640\) | 30.7216 | + | 17.5773i | 1.21438 | + | 0.694802i | ||||
\(641\) | 4.91040i | 0.193949i | 0.995287 | + | 0.0969747i | \(0.0309166\pi\) | ||||
−0.995287 | + | 0.0969747i | \(0.969083\pi\) | |||||||
\(642\) | 4.10963 | + | 2.50136i | 0.162194 | + | 0.0987209i | ||||
\(643\) | −8.98926 | −0.354502 | −0.177251 | − | 0.984166i | \(-0.556720\pi\) | ||||
−0.177251 | + | 0.984166i | \(0.556720\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 34.1131 | − | 18.8291i | 1.34320 | − | 0.741394i | ||||
\(646\) | 36.3411 | 1.42982 | ||||||||
\(647\) | 0.238947i | 0.00939397i | 0.999989 | + | 0.00469699i | \(0.00149510\pi\) | ||||
−0.999989 | + | 0.00469699i | \(0.998505\pi\) | |||||||
\(648\) | 29.8747 | − | 42.1802i | 1.17359 | − | 1.65699i | ||||
\(649\) | − | 11.7878i | − | 0.462710i | ||||||
\(650\) | 2.29267 | + | 3.90024i | 0.0899259 | + | 0.152980i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | − | 72.3365i | − | 2.83292i | ||||||
\(653\) | 1.95812 | 0.0766272 | 0.0383136 | − | 0.999266i | \(-0.487801\pi\) | ||||
0.0383136 | + | 0.999266i | \(0.487801\pi\) | |||||||
\(654\) | 33.8177 | + | 20.5834i | 1.32238 | + | 0.804876i | ||||
\(655\) | −28.2981 | − | 16.1907i | −1.10570 | − | 0.632622i | ||||
\(656\) | −15.3442 | −0.599090 | ||||||||
\(657\) | 16.0459 | + | 31.0277i | 0.626012 | + | 1.21050i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − | 31.6741i | − | 1.23385i | −0.787023 | − | 0.616924i | \(-0.788379\pi\) | ||
0.787023 | − | 0.616924i | \(-0.211621\pi\) | |||||||
\(660\) | 25.0004 | − | 13.7992i | 0.973139 | − | 0.537134i | ||||
\(661\) | 28.7000i | 1.11630i | 0.829740 | + | 0.558150i | \(0.188489\pi\) | ||||
−0.829740 | + | 0.558150i | \(0.811511\pi\) | |||||||
\(662\) | 21.0144 | 0.816747 | ||||||||
\(663\) | 0.826174 | − | 1.35737i | 0.0320860 | − | 0.0527159i | ||||
\(664\) | 20.1255i | 0.781020i | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 22.0922 | − | 11.4250i | 0.856055 | − | 0.442709i | ||||
\(667\) | − | 9.43572i | − | 0.365352i | ||||||
\(668\) | 30.9253i | 1.19654i | ||||||||
\(669\) | 23.1598 | + | 14.0964i | 0.895409 | + | 0.544998i | ||||
\(670\) | 6.93692 | − | 12.1244i | 0.267996 | − | 0.468405i | ||||
\(671\) | 2.75622 | 0.106403 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 33.9688i | 1.30940i | 0.755889 | + | 0.654700i | \(0.227205\pi\) | ||||
−0.755889 | + | 0.654700i | \(0.772795\pi\) | |||||||
\(674\) | 29.4571i | 1.13464i | ||||||||
\(675\) | −23.2578 | + | 11.5791i | −0.895193 | + | 0.445679i | ||||
\(676\) | −55.2109 | −2.12350 | ||||||||
\(677\) | − | 7.18943i | − | 0.276312i | −0.990410 | − | 0.138156i | \(-0.955882\pi\) | ||
0.990410 | − | 0.138156i | \(-0.0441176\pi\) | |||||||
\(678\) | −14.0738 | − | 8.56616i | −0.540502 | − | 0.328981i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 16.2171 | − | 28.3443i | 0.621897 | − | 1.08695i | ||||
\(681\) | −11.3575 | + | 18.6599i | −0.435222 | + | 0.715051i | ||||
\(682\) | −12.0045 | −0.459677 | ||||||||
\(683\) | 8.04026 | 0.307652 | 0.153826 | − | 0.988098i | \(-0.450840\pi\) | ||||
0.153826 | + | 0.988098i | \(0.450840\pi\) | |||||||
\(684\) | −65.1415 | + | 33.6879i | −2.49075 | + | 1.28809i | ||||
\(685\) | −30.4972 | − | 17.4489i | −1.16524 | − | 0.666688i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 5.39630 | − | 8.86589i | 0.205882 | − | 0.338255i | ||||
\(688\) | − | 58.5904i | − | 2.23374i | ||||||
\(689\) | 0.524706 | 0.0199897 | ||||||||
\(690\) | −11.7720 | − | 21.3277i | −0.448154 | − | 0.811931i | ||||
\(691\) | 44.2571i | 1.68362i | 0.539773 | + | 0.841810i | \(0.318510\pi\) | ||||
−0.539773 | + | 0.841810i | \(0.681490\pi\) | |||||||
\(692\) | − | 38.5494i | − | 1.46543i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.10867 | 0.0420847 | ||||||||
\(695\) | 16.3597 | − | 28.5934i | 0.620557 | − | 1.08461i | ||||
\(696\) | −19.4581 | + | 31.9688i | −0.737557 | + | 1.21177i | ||||
\(697\) | − | 6.69988i | − | 0.253776i | ||||||
\(698\) | − | 54.5246i | − | 2.06379i | ||||||
\(699\) | −32.2588 | − | 19.6346i | −1.22014 | − | 0.742649i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 0.779307i | 0.0294340i | 0.999892 | + | 0.0147170i | \(0.00468474\pi\) | ||||
−0.999892 | + | 0.0147170i | \(0.995315\pi\) | |||||||
\(702\) | −0.326450 | + | 4.69032i | −0.0123211 | + | 0.177025i | ||||
\(703\) | −18.8368 | −0.710444 | ||||||||
\(704\) | 6.57183i | 0.247685i | ||||||||
\(705\) | 19.7445 | − | 10.8982i | 0.743622 | − | 0.410450i | ||||
\(706\) | 57.1404i | 2.15051i | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 43.5323 | + | 26.4963i | 1.63604 | + | 0.995792i | ||||
\(709\) | −9.26534 | −0.347967 | −0.173984 | − | 0.984749i | \(-0.555664\pi\) | ||||
−0.173984 | + | 0.984749i | \(0.555664\pi\) | |||||||
\(710\) | 36.7033 | − | 64.1500i | 1.37745 | − | 2.40751i | ||||
\(711\) | −19.1137 | − | 36.9597i | −0.716819 | − | 1.38610i | ||||
\(712\) | −70.1112 | −2.62753 | ||||||||
\(713\) | 6.98468i | 0.261578i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.688564 | + | 1.20347i | −0.0257508 | + | 0.0450074i | ||||
\(716\) | − | 47.0262i | − | 1.75745i | ||||||
\(717\) | 22.4295 | − | 36.8507i | 0.837645 | − | 1.37622i | ||||
\(718\) | 62.7572i | 2.34208i | ||||||||
\(719\) | −18.1996 | −0.678730 | −0.339365 | − | 0.940655i | \(-0.610212\pi\) | ||||
−0.339365 | + | 0.940655i | \(0.610212\pi\) | |||||||
\(720\) | −1.65652 | + | 39.0317i | −0.0617347 | + | 1.45463i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 33.7855 | 1.25737 | ||||||||
\(723\) | 15.3330 | − | 25.1914i | 0.570239 | − | 0.936879i | ||||
\(724\) | − | 23.1359i | − | 0.859840i | ||||||
\(725\) | 16.2171 | − | 9.53285i | 0.602288 | − | 0.354041i | ||||
\(726\) | −29.8563 | − | 18.1723i | −1.10807 | − | 0.674436i | ||||
\(727\) | −31.6357 | −1.17330 | −0.586652 | − | 0.809839i | \(-0.699554\pi\) | ||||
−0.586652 | + | 0.809839i | \(0.699554\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −26.7397 | − | 3.74032i | −0.990358 | − | 0.138531i | ||||
\(730\) | −56.6771 | − | 32.4276i | −2.09771 | − | 1.20020i | ||||
\(731\) | 25.5829 | 0.946216 | ||||||||
\(732\) | −6.19538 | + | 10.1787i | −0.228988 | + | 0.376217i | ||||
\(733\) | −17.0085 | −0.628224 | −0.314112 | − | 0.949386i | \(-0.601707\pi\) | ||||
−0.314112 | + | 0.949386i | \(0.601707\pi\) | |||||||
\(734\) | 53.5381 | 1.97613 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −7.82374 | −0.288387 | ||||||||
\(737\) | 4.28096 | 0.157691 | ||||||||
\(738\) | 9.10623 | + | 17.6085i | 0.335205 | + | 0.648178i | ||||
\(739\) | −18.9804 | −0.698205 | −0.349103 | − | 0.937084i | \(-0.613514\pi\) | ||||
−0.349103 | + | 0.937084i | \(0.613514\pi\) | |||||||
\(740\) | −15.7474 | + | 27.5234i | −0.578887 | + | 1.01178i | ||||
\(741\) | 1.85138 | − | 3.04174i | 0.0680123 | − | 0.111741i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 3.80063 | 0.139432 | 0.0697159 | − | 0.997567i | \(-0.477791\pi\) | ||||
0.0697159 | + | 0.997567i | \(0.477791\pi\) | |||||||
\(744\) | 14.4036 | − | 23.6646i | 0.528063 | − | 0.867585i | ||||
\(745\) | −14.1056 | + | 24.6538i | −0.516790 | + | 0.903247i | ||||
\(746\) | 35.4497i | 1.29791i | ||||||||
\(747\) | 9.33802 | − | 4.82915i | 0.341660 | − | 0.176689i | ||||
\(748\) | 18.7489 | 0.685526 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 24.7625 | − | 41.7797i | 0.904199 | − | 1.52558i | ||||
\(751\) | −12.6456 | −0.461444 | −0.230722 | − | 0.973020i | \(-0.574109\pi\) | ||||
−0.230722 | + | 0.973020i | \(0.574109\pi\) | |||||||
\(752\) | − | 33.9119i | − | 1.23664i | ||||||
\(753\) | 40.5283 | + | 24.6679i | 1.47694 | + | 0.898949i | ||||
\(754\) | − | 3.40425i | − | 0.123976i | ||||||
\(755\) | 32.3997 | + | 18.5374i | 1.17915 | + | 0.674645i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − | 6.50118i | − | 0.236289i | −0.992996 | − | 0.118145i | \(-0.962305\pi\) | ||
0.992996 | − | 0.118145i | \(-0.0376947\pi\) | |||||||
\(758\) | 23.9231 | 0.868926 | ||||||||
\(759\) | 3.88170 | − | 6.37747i | 0.140897 | − | 0.231487i | ||||
\(760\) | 36.3411 | − | 63.5169i | 1.31823 | − | 2.30400i | ||||
\(761\) | 43.7825 | 1.58711 | 0.793556 | − | 0.608497i | \(-0.208227\pi\) | ||||
0.793556 | + | 0.608497i | \(0.208227\pi\) | |||||||
\(762\) | −13.5205 | + | 22.2135i | −0.489795 | + | 0.804712i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | − | 91.4531i | − | 3.30866i | ||||||
\(765\) | −17.0428 | − | 0.723300i | −0.616183 | − | 0.0261510i | ||||
\(766\) | 39.5519i | 1.42907i | ||||||||
\(767\) | −2.47446 | −0.0893474 | ||||||||
\(768\) | −47.4209 | − | 28.8631i | −1.71115 | − | 1.04151i | ||||
\(769\) | 33.3141i | 1.20134i | 0.799498 | + | 0.600668i | \(0.205099\pi\) | ||||
−0.799498 | + | 0.600668i | \(0.794901\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −27.3657 | + | 44.9606i | −0.985550 | + | 1.61922i | ||||
\(772\) | 59.7851i | 2.15171i | ||||||||
\(773\) | 42.3324i | 1.52259i | 0.648405 | + | 0.761296i | \(0.275437\pi\) | ||||
−0.648405 | + | 0.761296i | \(0.724563\pi\) | |||||||
\(774\) | −67.2364 | + | 34.7713i | −2.41676 | + | 1.24983i | ||||
\(775\) | −12.0045 | + | 7.05658i | −0.431215 | + | 0.253480i | ||||
\(776\) | −47.0217 | −1.68798 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 85.6477i | 3.07062i | ||||||||
\(779\) | − | 15.0138i | − | 0.537926i | ||||||
\(780\) | −2.89670 | − | 5.24802i | −0.103718 | − | 0.187909i | ||||
\(781\) | 22.6506 | 0.810502 | ||||||||
\(782\) | − | 15.9945i | − | 0.571963i | ||||||
\(783\) | 19.5022 | + | 1.35737i | 0.696952 | + | 0.0485084i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −2.80091 | − | 1.60253i | −0.0999686 | − | 0.0571968i | ||||
\(786\) | 54.1022 | + | 32.9298i | 1.92976 | + | 1.17457i | ||||
\(787\) | −25.9101 | −0.923597 | −0.461799 | − | 0.886985i | \(-0.652796\pi\) | ||||
−0.461799 | + | 0.886985i | \(0.652796\pi\) | |||||||
\(788\) | −8.63145 | −0.307483 | ||||||||
\(789\) | 28.6093 | + | 17.4133i | 1.01852 | + | 0.619930i | ||||
\(790\) | 67.5129 | + | 38.6273i | 2.40200 | + | 1.37430i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −26.3029 | + | 13.6025i | −0.934633 | + | 0.483345i | ||||
\(793\) | − | 0.578579i | − | 0.0205459i | ||||||
\(794\) | −10.7403 | −0.381158 | ||||||||
\(795\) | −2.72191 | − | 4.93135i | −0.0965362 | − | 0.174897i | ||||
\(796\) | − | 34.1901i | − | 1.21184i | ||||||
\(797\) | − | 27.5780i | − | 0.976865i | −0.872602 | − | 0.488432i | \(-0.837569\pi\) | ||
0.872602 | − | 0.488432i | \(-0.162431\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.8073 | 0.523843 | ||||||||
\(800\) | −7.90428 | − | 13.4466i | −0.279458 | − | 0.475409i | ||||
\(801\) | 16.8233 | + | 32.5309i | 0.594423 | + | 1.14942i | ||||
\(802\) | 31.3678i | 1.10764i | ||||||||
\(803\) | − | 20.0120i | − | 0.706208i | ||||||
\(804\) | −9.62267 | + | 15.8096i | −0.339365 | + | 0.557563i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.51996i | 0.0887617i | ||||||||
\(807\) | 32.5522 | + | 19.8132i | 1.14589 | + | 0.697456i | ||||
\(808\) | −7.16130 | −0.251934 | ||||||||
\(809\) | 31.1891i | 1.09655i | 0.836298 | + | 0.548275i | \(0.184715\pi\) | ||||
−0.836298 | + | 0.548275i | \(0.815285\pi\) | |||||||
\(810\) | 45.7746 | − | 21.2630i | 1.60836 | − | 0.747104i | ||||
\(811\) | 17.5174i | 0.615120i | 0.951529 | + | 0.307560i | \(0.0995124\pi\) | ||||
−0.951529 | + | 0.307560i | \(0.900488\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 13.5600 | − | 22.2785i | 0.475569 | − | 0.781341i | ||||
\(814\) | −14.2489 | −0.499422 | ||||||||
\(815\) | 18.7243 | − | 32.7264i | 0.655884 | − | 1.14635i | ||||
\(816\) | −13.3360 | + | 21.9106i | −0.466855 | + | 0.767023i | ||||
\(817\) | 57.3289 | 2.00568 | ||||||||
\(818\) | 16.1948i | 0.566237i | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −21.9374 | − | 12.5514i | −0.766088 | − | 0.438315i | ||||
\(821\) | 35.4867i | 1.23849i | 0.785197 | + | 0.619247i | \(0.212562\pi\) | ||||
−0.785197 | + | 0.619247i | \(0.787438\pi\) | |||||||
\(822\) | 58.3066 | + | 35.4888i | 2.03368 | + | 1.23782i | ||||
\(823\) | 30.0470i | 1.04737i | 0.851912 | + | 0.523686i | \(0.175443\pi\) | ||||
−0.851912 | + | 0.523686i | \(0.824557\pi\) | |||||||
\(824\) | 23.8112 | 0.829503 | ||||||||
\(825\) | 14.8826 | + | 0.228329i | 0.518144 | + | 0.00794941i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 21.6751 | 0.753717 | 0.376859 | − | 0.926271i | \(-0.377004\pi\) | ||||
0.376859 | + | 0.926271i | \(0.377004\pi\) | |||||||
\(828\) | 14.8268 | + | 28.6703i | 0.515268 | + | 0.996361i | ||||
\(829\) | 9.16245i | 0.318225i | 0.987260 | + | 0.159113i | \(0.0508633\pi\) | ||||
−0.987260 | + | 0.159113i | \(0.949137\pi\) | |||||||
\(830\) | −9.75935 | + | 17.0574i | −0.338752 | + | 0.592071i | ||||
\(831\) | −1.50929 | + | 2.47969i | −0.0523566 | + | 0.0860196i | ||||
\(832\) | 1.37954 | 0.0478270 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −33.2735 | + | 54.6669i | −1.15217 | + | 1.89296i | ||||
\(835\) | −8.00501 | + | 13.9912i | −0.277025 | + | 0.484184i | ||||
\(836\) | 42.0145 | 1.45310 | ||||||||
\(837\) | −14.4363 | − | 1.00478i | −0.498991 | − | 0.0347302i | ||||
\(838\) | 25.1158 | 0.867610 | ||||||||
\(839\) | 31.7155 | 1.09494 | 0.547471 | − | 0.836825i | \(-0.315591\pi\) | ||||
0.547471 | + | 0.836825i | \(0.315591\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 14.8452 | 0.511904 | ||||||||
\(842\) | −44.6063 | −1.53723 | ||||||||
\(843\) | 1.89189 | − | 3.10830i | 0.0651603 | − | 0.107056i | ||||
\(844\) | −21.2520 | −0.731523 | ||||||||
\(845\) | −24.9784 | − | 14.2913i | −0.859284 | − | 0.491637i | ||||
\(846\) | −38.9162 | + | 20.1255i | −1.33797 | + | 0.691928i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −8.46976 | −0.290853 | ||||||||
\(849\) | −7.40363 | − | 4.50628i | −0.254092 | − | 0.154655i | ||||
\(850\) | 27.4897 | − | 16.1592i | 0.942888 | − | 0.554255i | ||||
\(851\) | 8.29052i | 0.284195i | ||||||||
\(852\) | −50.9136 | + | 83.6488i | −1.74427 | + | 2.86576i | ||||
\(853\) | −10.2006 | −0.349262 | −0.174631 | − | 0.984634i | \(-0.555873\pi\) | ||||
−0.174631 | + | 0.984634i | \(0.555873\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −38.1913 | − | 1.62085i | −1.30612 | − | 0.0554319i | ||||
\(856\) | 6.36065 | 0.217402 | ||||||||
\(857\) | 1.80558i | 0.0616774i | 0.999524 | + | 0.0308387i | \(0.00981783\pi\) | ||||
−0.999524 | + | 0.0308387i | \(0.990182\pi\) | |||||||
\(858\) | 1.40045 | − | 2.30088i | 0.0478107 | − | 0.0785509i | ||||
\(859\) | 7.71307i | 0.263166i | 0.991305 | + | 0.131583i | \(0.0420061\pi\) | ||||
−0.991305 | + | 0.131583i | \(0.957994\pi\) | |||||||
\(860\) | 47.9265 | − | 83.7660i | 1.63428 | − | 2.85640i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | − | 7.37109i | − | 0.251060i | ||||||
\(863\) | −22.3531 | −0.760909 | −0.380455 | − | 0.924800i | \(-0.624233\pi\) | ||||
−0.380455 | + | 0.924800i | \(0.624233\pi\) | |||||||
\(864\) | 1.12548 | − | 16.1705i | 0.0382896 | − | 0.550132i | ||||
\(865\) | 9.97851 | − | 17.4405i | 0.339280 | − | 0.592993i | ||||
\(866\) | −79.4214 | −2.69885 | ||||||||
\(867\) | 15.5852 | + | 9.48604i | 0.529300 | + | 0.322163i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 23.8380i | 0.808648i | ||||||||
\(870\) | −31.9942 | + | 17.6595i | −1.08471 | + | 0.598715i | ||||
\(871\) | − | 0.898649i | − | 0.0304496i | ||||||
\(872\) | 52.3411 | 1.77249 | ||||||||
\(873\) | 11.2830 | + | 21.8176i | 0.381870 | + | 0.738413i | ||||
\(874\) | − | 35.8423i | − | 1.21238i | ||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 73.9045 | + | 44.9826i | 2.49700 | + | 1.51982i | ||||
\(877\) | 51.7428i | 1.74723i | 0.486618 | + | 0.873615i | \(0.338230\pi\) | ||||
−0.486618 | + | 0.873615i | \(0.661770\pi\) | |||||||
\(878\) | 53.9090i | 1.81934i | ||||||||
\(879\) | 15.5553 | − | 25.5567i | 0.524667 | − | 0.862005i | ||||
\(880\) | 11.1148 | − | 19.4264i | 0.374678 | − | 0.654863i | ||||
\(881\) | −40.9882 | −1.38093 | −0.690464 | − | 0.723367i | \(-0.742594\pi\) | ||||
−0.690464 | + | 0.723367i | \(0.742594\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | − | 10.6943i | − | 0.359891i | −0.983677 | − | 0.179945i | \(-0.942408\pi\) | ||
0.983677 | − | 0.179945i | \(-0.0575921\pi\) | |||||||
\(884\) | − | 3.93571i | − | 0.132372i | ||||||
\(885\) | 12.8362 | + | 23.2557i | 0.431485 | + | 0.781733i | ||||
\(886\) | −65.8830 | −2.21338 | ||||||||
\(887\) | 47.0848i | 1.58095i | 0.612493 | + | 0.790476i | \(0.290167\pi\) | ||||
−0.612493 | + | 0.790476i | \(0.709833\pi\) | |||||||
\(888\) | 17.0965 | − | 28.0888i | 0.573721 | − | 0.942599i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −59.4229 | − | 33.9987i | −1.99186 | − | 1.13964i | ||||
\(891\) | 12.6229 | + | 8.94032i | 0.422882 | + | 0.299512i | ||||
\(892\) | 67.1521 | 2.24842 | ||||||||
\(893\) | 33.1817 | 1.11038 | ||||||||
\(894\) | 28.6891 | − | 47.1349i | 0.959506 | − | 1.57643i | ||||
\(895\) | 12.1727 | − | 21.2755i | 0.406889 | − | 0.711161i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −1.33874 | − | 0.814836i | −0.0446993 | − | 0.0272066i | ||||
\(898\) | − | 90.3046i | − | 3.01350i | ||||||
\(899\) | 10.4779 | 0.349458 | ||||||||
\(900\) | −34.2960 | + | 54.4482i | −1.14320 | + | 1.81494i | ||||
\(901\) | − | 3.69823i | − | 0.123206i | ||||||
\(902\) | − | 11.3570i | − | 0.378147i | ||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −21.7827 | −0.724480 | ||||||||
\(905\) | 5.98873 | − | 10.4671i | 0.199072 | − | 0.347939i | ||||
\(906\) | −61.9440 | − | 37.7028i | −2.05795 | − | 1.25259i | ||||
\(907\) | 8.71819i | 0.289483i | 0.989470 | + | 0.144741i | \(0.0462350\pi\) | ||||
−0.989470 | + | 0.144741i | \(0.953765\pi\) | |||||||
\(908\) | 54.1048i | 1.79553i | ||||||||
\(909\) | 1.71837 | + | 3.32277i | 0.0569947 | + | 0.110209i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | − | 4.85314i | − | 0.160792i | −0.996763 | − | 0.0803958i | \(-0.974382\pi\) | ||
0.996763 | − | 0.0803958i | \(-0.0256184\pi\) | |||||||
\(912\) | −29.8849 | + | 49.0996i | −0.989587 | + | 1.62585i | ||||
\(913\) | −6.02277 | −0.199324 | ||||||||
\(914\) | − | 45.7619i | − | 1.51367i | ||||||
\(915\) | −5.43767 | + | 3.00138i | −0.179764 | + | 0.0992224i | ||||
\(916\) | − | 25.7068i | − | 0.849376i | ||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 33.0583 | + | 2.30088i | 1.09109 | + | 0.0759405i | ||||
\(919\) | −35.8584 | −1.18286 | −0.591429 | − | 0.806357i | \(-0.701436\pi\) | ||||
−0.591429 | + | 0.806357i | \(0.701436\pi\) | |||||||
\(920\) | −27.9553 | − | 15.9945i | −0.921658 | − | 0.527324i | ||||
\(921\) | 15.1392 | + | 9.21462i | 0.498855 | + | 0.303632i | ||||
\(922\) | 57.1999 | 1.88378 | ||||||||
\(923\) | − | 4.75475i | − | 0.156505i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −14.2489 | + | 8.37587i | −0.468500 | + | 0.275397i | ||||
\(926\) | 58.6160i | 1.92624i | ||||||||
\(927\) | −5.71355 | − | 11.0482i | −0.187658 | − | 0.362869i | ||||
\(928\) | 11.7366i | 0.385273i | ||||||||
\(929\) | 25.4003 | 0.833355 | 0.416678 | − | 0.909054i | \(-0.363194\pi\) | ||||
0.416678 | + | 0.909054i | \(0.363194\pi\) | |||||||
\(930\) | 23.6834 | − | 13.0723i | 0.776608 | − | 0.428657i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −93.5349 | −3.06384 | ||||||||
\(933\) | −15.5025 | − | 9.43572i | −0.507528 | − | 0.308911i | ||||
\(934\) | 27.3104i | 0.893625i | ||||||||
\(935\) | 8.48232 | + | 4.85314i | 0.277402 | + | 0.158715i | ||||
\(936\) | 2.85541 | + | 5.52144i | 0.0933320 | + | 0.180474i | ||||
\(937\) | −40.3037 | −1.31667 | −0.658333 | − | 0.752727i | \(-0.728738\pi\) | ||||
−0.658333 | + | 0.752727i | \(0.728738\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −0.379023 | − | 0.230695i | −0.0123689 | − | 0.00752846i | ||||
\(940\) | 27.7397 | − | 48.4834i | 0.904768 | − | 1.58136i | ||||
\(941\) | 18.2413 | 0.594650 | 0.297325 | − | 0.954776i | \(-0.403906\pi\) | ||||
0.297325 | + | 0.954776i | \(0.403906\pi\) | |||||||
\(942\) | 5.35497 | + | 3.25935i | 0.174474 | + | 0.106195i | ||||
\(943\) | −6.60793 | −0.215184 | ||||||||
\(944\) | 39.9425 | 1.30002 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 43.3657 | 1.40994 | ||||||||
\(947\) | −18.8485 | −0.612494 | −0.306247 | − | 0.951952i | \(-0.599073\pi\) | ||||
−0.306247 | + | 0.951952i | \(0.599073\pi\) | |||||||
\(948\) | −88.0338 | − | 53.5825i | −2.85921 | − | 1.74028i | ||||
\(949\) | −4.20087 | −0.136366 | ||||||||
\(950\) | 61.6019 | − | 36.2113i | 1.99863 | − | 1.17485i | ||||
\(951\) | −45.7747 | − | 27.8612i | −1.48435 | − | 0.903461i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −25.3110 | −0.819903 | −0.409952 | − | 0.912107i | \(-0.634454\pi\) | ||||
−0.409952 | + | 0.912107i | \(0.634454\pi\) | |||||||
\(954\) | 5.02650 | + | 9.71963i | 0.162739 | + | 0.314684i | ||||
\(955\) | 23.6726 | − | 41.3751i | 0.766029 | − | 1.33887i | ||||
\(956\) | − | 106.849i | − | 3.45575i | ||||||
\(957\) | −9.56701 | − | 5.82304i | −0.309257 | − | 0.188232i | ||||
\(958\) | −25.7737 | −0.832712 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −7.15637 | − | 12.9654i | −0.230971 | − | 0.418456i | ||||
\(961\) | 23.2438 | 0.749802 | ||||||||
\(962\) | 2.99108i | 0.0964364i | ||||||||
\(963\) | −1.52625 | − | 2.95128i | −0.0491827 | − | 0.0951035i | ||||
\(964\) | − | 73.0429i | − | 2.35255i | ||||||
\(965\) | −15.4754 | + | 27.0479i | −0.498170 | + | 0.870702i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.2840i | 1.03818i | 0.854718 | + | 0.519092i | \(0.173730\pi\) | ||||
−0.854718 | + | 0.519092i | \(0.826270\pi\) | |||||||
\(968\) | −46.2098 | −1.48524 | ||||||||
\(969\) | −21.4388 | − | 13.0489i | −0.688714 | − | 0.419191i | ||||
\(970\) | −39.8534 | − | 22.8020i | −1.27961 | − | 0.732128i | ||||
\(971\) | −1.38783 | −0.0445377 | −0.0222688 | − | 0.999752i | \(-0.507089\pi\) | ||||
−0.0222688 | + | 0.999752i | \(0.507089\pi\) | |||||||
\(972\) | −61.3901 | + | 26.5205i | −1.96909 | + | 0.850645i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 34.7293i | 1.11280i | ||||||||
\(975\) | 0.0479303 | − | 3.12411i | 0.00153500 | − | 0.100052i | ||||
\(976\) | 9.33937i | 0.298946i | ||||||||
\(977\) | −57.8116 | −1.84956 | −0.924779 | − | 0.380505i | \(-0.875750\pi\) | ||||
−0.924779 | + | 0.380505i | \(0.875750\pi\) | |||||||
\(978\) | −38.0829 | + | 62.5685i | −1.21776 | + | 2.00072i | ||||
\(979\) | − | 20.9815i | − | 0.670572i | ||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.5593 | − | 24.2857i | −0.400989 | − | 0.775383i | ||||
\(982\) | 34.1036i | 1.08829i | ||||||||
\(983\) | − | 26.0114i | − | 0.829635i | −0.909905 | − | 0.414818i | \(-0.863845\pi\) | ||
0.909905 | − | 0.414818i | \(-0.136155\pi\) | |||||||
\(984\) | 22.3881 | + | 13.6267i | 0.713706 | + | 0.434403i | ||||
\(985\) | −3.90503 | − | 2.23425i | −0.124424 | − | 0.0711891i | ||||
\(986\) | −23.9938 | −0.764119 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | − | 8.81958i | − | 0.280588i | ||||||
\(989\) | − | 25.2318i | − | 0.802324i | ||||||
\(990\) | −28.8893 | − | 1.22607i | −0.918162 | − | 0.0389670i | ||||
\(991\) | −36.2324 | −1.15096 | −0.575480 | − | 0.817816i | \(-0.695185\pi\) | ||||
−0.575480 | + | 0.817816i | \(0.695185\pi\) | |||||||
\(992\) | − | 8.68788i | − | 0.275841i | ||||||
\(993\) | −12.3971 | − | 7.54560i | −0.393410 | − | 0.239452i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 8.85011 | − | 15.4682i | 0.280567 | − | 0.490376i | ||||
\(996\) | 13.5379 | − | 22.2421i | 0.428963 | − | 0.704769i | ||||
\(997\) | 34.5948 | 1.09563 | 0.547814 | − | 0.836600i | \(-0.315460\pi\) | ||||
0.547814 | + | 0.836600i | \(0.315460\pi\) | |||||||
\(998\) | −90.8160 | −2.87473 | ||||||||
\(999\) | −17.1353 | − | 1.19263i | −0.542136 | − | 0.0377331i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))