Newspace parameters
Level: | \( N \) | \(=\) | \( 507 = 3 \cdot 13^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 507.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(4.04841538248\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.64827.1 |
Defining polynomial: |
\( x^{6} - x^{5} + 3x^{4} + 5x^{2} - 2x + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 484.1 | ||
Root | \(-0.623490 - 1.07992i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 507.484 |
Dual form | 507.2.e.k.22.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/507\mathbb{Z}\right)^\times\).
\(n\) | \(170\) | \(340\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623490 | − | 1.07992i | −0.440874 | − | 0.763616i | 0.556881 | − | 0.830593i | \(-0.311998\pi\) |
−0.997755 | + | 0.0669766i | \(0.978665\pi\) | |||||||
\(3\) | −0.500000 | − | 0.866025i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0.222521 | − | 0.385418i | 0.111260 | − | 0.192709i | ||||
\(5\) | −2.80194 | −1.25306 | −0.626532 | − | 0.779395i | \(-0.715526\pi\) | ||||
−0.626532 | + | 0.779395i | \(0.715526\pi\) | |||||||
\(6\) | −0.623490 | + | 1.07992i | −0.254539 | + | 0.440874i | ||||
\(7\) | 2.40097 | − | 4.15860i | 0.907481 | − | 1.57180i | 0.0899290 | − | 0.995948i | \(-0.471336\pi\) |
0.817552 | − | 0.575855i | \(-0.195331\pi\) | |||||||
\(8\) | −3.04892 | −1.07796 | ||||||||
\(9\) | −0.500000 | + | 0.866025i | −0.166667 | + | 0.288675i | ||||
\(10\) | 1.74698 | + | 3.02586i | 0.552443 | + | 0.956860i | ||||
\(11\) | −0.733406 | − | 1.27030i | −0.221130 | − | 0.383009i | 0.734021 | − | 0.679127i | \(-0.237641\pi\) |
−0.955151 | + | 0.296118i | \(0.904308\pi\) | |||||||
\(12\) | −0.445042 | −0.128473 | ||||||||
\(13\) | 0 | 0 | ||||||||
\(14\) | −5.98792 | −1.60034 | ||||||||
\(15\) | 1.40097 | + | 2.42655i | 0.361729 | + | 0.626532i | ||||
\(16\) | 1.45593 | + | 2.52174i | 0.363982 | + | 0.630435i | ||||
\(17\) | 1.22252 | − | 2.11747i | 0.296505 | − | 0.513562i | −0.678829 | − | 0.734296i | \(-0.737512\pi\) |
0.975334 | + | 0.220735i | \(0.0708456\pi\) | |||||||
\(18\) | 1.24698 | 0.293916 | ||||||||
\(19\) | −1.27144 | + | 2.20220i | −0.291688 | + | 0.505218i | −0.974209 | − | 0.225648i | \(-0.927550\pi\) |
0.682521 | + | 0.730866i | \(0.260884\pi\) | |||||||
\(20\) | −0.623490 | + | 1.07992i | −0.139417 | + | 0.241477i | ||||
\(21\) | −4.80194 | −1.04787 | ||||||||
\(22\) | −0.914542 | + | 1.58403i | −0.194981 | + | 0.337717i | ||||
\(23\) | 1.75786 | + | 3.04471i | 0.366540 | + | 0.634866i | 0.989022 | − | 0.147768i | \(-0.0472089\pi\) |
−0.622482 | + | 0.782634i | \(0.713876\pi\) | |||||||
\(24\) | 1.52446 | + | 2.64044i | 0.311179 | + | 0.538978i | ||||
\(25\) | 2.85086 | 0.570171 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 1.00000 | 0.192450 | ||||||||
\(28\) | −1.06853 | − | 1.85075i | −0.201934 | − | 0.349759i | ||||
\(29\) | −0.925428 | − | 1.60289i | −0.171848 | − | 0.297649i | 0.767218 | − | 0.641386i | \(-0.221640\pi\) |
−0.939066 | + | 0.343737i | \(0.888307\pi\) | |||||||
\(30\) | 1.74698 | − | 3.02586i | 0.318953 | − | 0.552443i | ||||
\(31\) | −7.63102 | −1.37057 | −0.685286 | − | 0.728274i | \(-0.740323\pi\) | ||||
−0.685286 | + | 0.728274i | \(0.740323\pi\) | |||||||
\(32\) | −1.23341 | + | 2.13632i | −0.218037 | + | 0.377652i | ||||
\(33\) | −0.733406 | + | 1.27030i | −0.127670 | + | 0.221130i | ||||
\(34\) | −3.04892 | −0.522885 | ||||||||
\(35\) | −6.72737 | + | 11.6521i | −1.13713 | + | 1.96957i | ||||
\(36\) | 0.222521 | + | 0.385418i | 0.0370868 | + | 0.0642363i | ||||
\(37\) | 2.27748 | + | 3.94471i | 0.374415 | + | 0.648506i | 0.990239 | − | 0.139377i | \(-0.0445101\pi\) |
−0.615824 | + | 0.787884i | \(0.711177\pi\) | |||||||
\(38\) | 3.17092 | 0.514390 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 8.54288 | 1.35075 | ||||||||
\(41\) | −0.623490 | − | 1.07992i | −0.0973727 | − | 0.168655i | 0.813224 | − | 0.581951i | \(-0.197711\pi\) |
−0.910596 | + | 0.413297i | \(0.864377\pi\) | |||||||
\(42\) | 2.99396 | + | 5.18569i | 0.461978 | + | 0.800169i | ||||
\(43\) | −1.19202 | + | 2.06464i | −0.181782 | + | 0.314855i | −0.942487 | − | 0.334242i | \(-0.891520\pi\) |
0.760706 | + | 0.649097i | \(0.224853\pi\) | |||||||
\(44\) | −0.652793 | −0.0984122 | ||||||||
\(45\) | 1.40097 | − | 2.42655i | 0.208844 | − | 0.361729i | ||||
\(46\) | 2.19202 | − | 3.79669i | 0.323196 | − | 0.559792i | ||||
\(47\) | 12.8170 | 1.86955 | 0.934776 | − | 0.355238i | \(-0.115600\pi\) | ||||
0.934776 | + | 0.355238i | \(0.115600\pi\) | |||||||
\(48\) | 1.45593 | − | 2.52174i | 0.210145 | − | 0.363982i | ||||
\(49\) | −8.02930 | − | 13.9072i | −1.14704 | − | 1.98674i | ||||
\(50\) | −1.77748 | − | 3.07868i | −0.251374 | − | 0.435392i | ||||
\(51\) | −2.44504 | −0.342374 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −8.85086 | −1.21576 | −0.607879 | − | 0.794030i | \(-0.707980\pi\) | ||||
−0.607879 | + | 0.794030i | \(0.707980\pi\) | |||||||
\(54\) | −0.623490 | − | 1.07992i | −0.0848462 | − | 0.146958i | ||||
\(55\) | 2.05496 | + | 3.55929i | 0.277090 | + | 0.479935i | ||||
\(56\) | −7.32036 | + | 12.6792i | −0.978224 | + | 1.69433i | ||||
\(57\) | 2.54288 | 0.336812 | ||||||||
\(58\) | −1.15399 | + | 1.99877i | −0.151526 | + | 0.262451i | ||||
\(59\) | −1.08815 | + | 1.88472i | −0.141665 | + | 0.245370i | −0.928124 | − | 0.372272i | \(-0.878579\pi\) |
0.786459 | + | 0.617642i | \(0.211912\pi\) | |||||||
\(60\) | 1.24698 | 0.160984 | ||||||||
\(61\) | 3.91454 | − | 6.78019i | 0.501206 | − | 0.868114i | −0.498793 | − | 0.866721i | \(-0.666223\pi\) |
0.999999 | − | 0.00139289i | \(-0.000443372\pi\) | |||||||
\(62\) | 4.75786 | + | 8.24086i | 0.604249 | + | 1.04659i | ||||
\(63\) | 2.40097 | + | 4.15860i | 0.302494 | + | 0.523934i | ||||
\(64\) | 8.89977 | 1.11247 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.82908 | 0.225145 | ||||||||
\(67\) | 1.79105 | + | 3.10219i | 0.218812 | + | 0.378993i | 0.954445 | − | 0.298387i | \(-0.0964486\pi\) |
−0.735633 | + | 0.677380i | \(0.763115\pi\) | |||||||
\(68\) | −0.544073 | − | 0.942362i | −0.0659785 | − | 0.114278i | ||||
\(69\) | 1.75786 | − | 3.04471i | 0.211622 | − | 0.366540i | ||||
\(70\) | 16.7778 | 2.00533 | ||||||||
\(71\) | 4.41939 | − | 7.65460i | 0.524485 | − | 0.908434i | −0.475109 | − | 0.879927i | \(-0.657591\pi\) |
0.999594 | − | 0.0285072i | \(-0.00907534\pi\) | |||||||
\(72\) | 1.52446 | − | 2.64044i | 0.179659 | − | 0.311179i | ||||
\(73\) | −7.69202 | −0.900283 | −0.450142 | − | 0.892957i | \(-0.648626\pi\) | ||||
−0.450142 | + | 0.892957i | \(0.648626\pi\) | |||||||
\(74\) | 2.83997 | − | 4.91897i | 0.330140 | − | 0.571819i | ||||
\(75\) | −1.42543 | − | 2.46891i | −0.164594 | − | 0.285086i | ||||
\(76\) | 0.565843 | + | 0.980069i | 0.0649067 | + | 0.112422i | ||||
\(77\) | −7.04354 | −0.802686 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.02177 | −0.452485 | −0.226242 | − | 0.974071i | \(-0.572644\pi\) | ||||
−0.226242 | + | 0.974071i | \(0.572644\pi\) | |||||||
\(80\) | −4.07942 | − | 7.06576i | −0.456093 | − | 0.789976i | ||||
\(81\) | −0.500000 | − | 0.866025i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | −0.777479 | + | 1.34663i | −0.0858582 | + | 0.148711i | ||||
\(83\) | −0.652793 | −0.0716533 | −0.0358267 | − | 0.999358i | \(-0.511406\pi\) | ||||
−0.0358267 | + | 0.999358i | \(0.511406\pi\) | |||||||
\(84\) | −1.06853 | + | 1.85075i | −0.116586 | + | 0.201934i | ||||
\(85\) | −3.42543 | + | 5.93301i | −0.371540 | + | 0.643526i | ||||
\(86\) | 2.97285 | 0.320571 | ||||||||
\(87\) | −0.925428 | + | 1.60289i | −0.0992162 | + | 0.171848i | ||||
\(88\) | 2.23609 | + | 3.87303i | 0.238368 | + | 0.412866i | ||||
\(89\) | −3.14795 | − | 5.45241i | −0.333682 | − | 0.577954i | 0.649549 | − | 0.760320i | \(-0.274958\pi\) |
−0.983231 | + | 0.182366i | \(0.941624\pi\) | |||||||
\(90\) | −3.49396 | −0.368296 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 1.56465 | 0.163126 | ||||||||
\(93\) | 3.81551 | + | 6.60866i | 0.395650 | + | 0.685286i | ||||
\(94\) | −7.99127 | − | 13.8413i | −0.824237 | − | 1.42762i | ||||
\(95\) | 3.56249 | − | 6.17042i | 0.365504 | − | 0.633071i | ||||
\(96\) | 2.46681 | 0.251768 | ||||||||
\(97\) | 5.01573 | − | 8.68750i | 0.509270 | − | 0.882082i | −0.490672 | − | 0.871344i | \(-0.663249\pi\) |
0.999942 | − | 0.0107376i | \(-0.00341793\pi\) | |||||||
\(98\) | −10.0124 | + | 17.3419i | −1.01140 | + | 1.75180i | ||||
\(99\) | 1.46681 | 0.147420 | ||||||||
\(100\) | 0.634375 | − | 1.09877i | 0.0634375 | − | 0.109877i | ||||
\(101\) | −6.94385 | − | 12.0271i | −0.690938 | − | 1.19674i | −0.971531 | − | 0.236913i | \(-0.923864\pi\) |
0.280592 | − | 0.959827i | \(-0.409469\pi\) | |||||||
\(102\) | 1.52446 | + | 2.64044i | 0.150944 | + | 0.261443i | ||||
\(103\) | −17.4034 | −1.71481 | −0.857405 | − | 0.514642i | \(-0.827925\pi\) | ||||
−0.857405 | + | 0.514642i | \(0.827925\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 13.4547 | 1.31305 | ||||||||
\(106\) | 5.51842 | + | 9.55818i | 0.535996 | + | 0.928373i | ||||
\(107\) | −5.27628 | − | 9.13879i | −0.510077 | − | 0.883480i | −0.999932 | − | 0.0116758i | \(-0.996283\pi\) |
0.489854 | − | 0.871804i | \(-0.337050\pi\) | |||||||
\(108\) | 0.222521 | − | 0.385418i | 0.0214121 | − | 0.0370868i | ||||
\(109\) | 1.07069 | 0.102553 | 0.0512766 | − | 0.998684i | \(-0.483671\pi\) | ||||
0.0512766 | + | 0.998684i | \(0.483671\pi\) | |||||||
\(110\) | 2.56249 | − | 4.43836i | 0.244324 | − | 0.423181i | ||||
\(111\) | 2.27748 | − | 3.94471i | 0.216169 | − | 0.374415i | ||||
\(112\) | 13.9825 | 1.32123 | ||||||||
\(113\) | 8.26540 | − | 14.3161i | 0.777543 | − | 1.34674i | −0.155811 | − | 0.987787i | \(-0.549799\pi\) |
0.933354 | − | 0.358957i | \(-0.116868\pi\) | |||||||
\(114\) | −1.58546 | − | 2.74609i | −0.148492 | − | 0.257195i | ||||
\(115\) | −4.92543 | − | 8.53109i | −0.459298 | − | 0.795528i | ||||
\(116\) | −0.823708 | −0.0764794 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.71379 | 0.249825 | ||||||||
\(119\) | −5.87047 | − | 10.1680i | −0.538145 | − | 0.932095i | ||||
\(120\) | −4.27144 | − | 7.39835i | −0.389927 | − | 0.675374i | ||||
\(121\) | 4.42423 | − | 7.66299i | 0.402203 | − | 0.696636i | ||||
\(122\) | −9.76271 | −0.883874 | ||||||||
\(123\) | −0.623490 | + | 1.07992i | −0.0562182 | + | 0.0973727i | ||||
\(124\) | −1.69806 | + | 2.94113i | −0.152490 | + | 0.264121i | ||||
\(125\) | 6.02177 | 0.538604 | ||||||||
\(126\) | 2.99396 | − | 5.18569i | 0.266723 | − | 0.461978i | ||||
\(127\) | 4.76875 | + | 8.25972i | 0.423158 | + | 0.732931i | 0.996246 | − | 0.0865622i | \(-0.0275881\pi\) |
−0.573088 | + | 0.819494i | \(0.694255\pi\) | |||||||
\(128\) | −3.08211 | − | 5.33836i | −0.272422 | − | 0.471849i | ||||
\(129\) | 2.38404 | 0.209903 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.50902 | −0.481326 | −0.240663 | − | 0.970609i | \(-0.577365\pi\) | ||||
−0.240663 | + | 0.970609i | \(0.577365\pi\) | |||||||
\(132\) | 0.326396 | + | 0.565335i | 0.0284092 | + | 0.0492061i | ||||
\(133\) | 6.10537 | + | 10.5748i | 0.529402 | + | 0.916952i | ||||
\(134\) | 2.23341 | − | 3.86837i | 0.192937 | − | 0.334177i | ||||
\(135\) | −2.80194 | −0.241152 | ||||||||
\(136\) | −3.72737 | + | 6.45599i | −0.319619 | + | 0.553596i | ||||
\(137\) | 8.09179 | − | 14.0154i | 0.691329 | − | 1.19742i | −0.280074 | − | 0.959978i | \(-0.590359\pi\) |
0.971403 | − | 0.237438i | \(-0.0763076\pi\) | |||||||
\(138\) | −4.38404 | −0.373195 | ||||||||
\(139\) | 5.25451 | − | 9.10108i | 0.445682 | − | 0.771944i | −0.552418 | − | 0.833568i | \(-0.686295\pi\) |
0.998099 | + | 0.0616238i | \(0.0196279\pi\) | |||||||
\(140\) | 2.99396 | + | 5.18569i | 0.253036 | + | 0.438271i | ||||
\(141\) | −6.40850 | − | 11.0999i | −0.539693 | − | 0.934776i | ||||
\(142\) | −11.0218 | −0.924926 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | −2.91185 | −0.242654 | ||||||||
\(145\) | 2.59299 | + | 4.49119i | 0.215336 | + | 0.372973i | ||||
\(146\) | 4.79590 | + | 8.30674i | 0.396911 | + | 0.687470i | ||||
\(147\) | −8.02930 | + | 13.9072i | −0.662246 | + | 1.14704i | ||||
\(148\) | 2.02715 | 0.166630 | ||||||||
\(149\) | −7.17510 | + | 12.4276i | −0.587807 | + | 1.01811i | 0.406712 | + | 0.913556i | \(0.366675\pi\) |
−0.994519 | + | 0.104555i | \(0.966658\pi\) | |||||||
\(150\) | −1.77748 | + | 3.07868i | −0.145131 | + | 0.251374i | ||||
\(151\) | 1.96615 | 0.160003 | 0.0800014 | − | 0.996795i | \(-0.474508\pi\) | ||||
0.0800014 | + | 0.996795i | \(0.474508\pi\) | |||||||
\(152\) | 3.87651 | − | 6.71431i | 0.314426 | − | 0.544603i | ||||
\(153\) | 1.22252 | + | 2.11747i | 0.0988350 | + | 0.171187i | ||||
\(154\) | 4.39158 | + | 7.60643i | 0.353883 | + | 0.612944i | ||||
\(155\) | 21.3817 | 1.71742 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 10.7017 | 0.854089 | 0.427045 | − | 0.904231i | \(-0.359555\pi\) | ||||
0.427045 | + | 0.904231i | \(0.359555\pi\) | |||||||
\(158\) | 2.50753 | + | 4.34317i | 0.199489 | + | 0.345524i | ||||
\(159\) | 4.42543 | + | 7.66507i | 0.350959 | + | 0.607879i | ||||
\(160\) | 3.45593 | − | 5.98584i | 0.273215 | − | 0.473222i | ||||
\(161\) | 16.8823 | 1.33051 | ||||||||
\(162\) | −0.623490 | + | 1.07992i | −0.0489860 | + | 0.0848462i | ||||
\(163\) | −1.94989 | + | 3.37730i | −0.152727 | + | 0.264531i | −0.932229 | − | 0.361869i | \(-0.882139\pi\) |
0.779502 | + | 0.626400i | \(0.215472\pi\) | |||||||
\(164\) | −0.554958 | −0.0433349 | ||||||||
\(165\) | 2.05496 | − | 3.55929i | 0.159978 | − | 0.277090i | ||||
\(166\) | 0.407010 | + | 0.704961i | 0.0315901 | + | 0.0547156i | ||||
\(167\) | −10.5097 | − | 18.2033i | −0.813264 | − | 1.40861i | −0.910568 | − | 0.413360i | \(-0.864355\pi\) |
0.0973035 | − | 0.995255i | \(-0.468978\pi\) | |||||||
\(168\) | 14.6407 | 1.12956 | ||||||||
\(169\) | 0 | 0 | ||||||||
\(170\) | 8.54288 | 0.655209 | ||||||||
\(171\) | −1.27144 | − | 2.20220i | −0.0972293 | − | 0.168406i | ||||
\(172\) | 0.530499 | + | 0.918852i | 0.0404502 | + | 0.0700618i | ||||
\(173\) | −6.61745 | + | 11.4618i | −0.503115 | + | 0.871421i | 0.496878 | + | 0.867820i | \(0.334480\pi\) |
−0.999994 | + | 0.00360102i | \(0.998854\pi\) | |||||||
\(174\) | 2.30798 | 0.174967 | ||||||||
\(175\) | 6.84481 | − | 11.8556i | 0.517419 | − | 0.896197i | ||||
\(176\) | 2.13557 | − | 3.69892i | 0.160975 | − | 0.278816i | ||||
\(177\) | 2.17629 | 0.163580 | ||||||||
\(178\) | −3.92543 | + | 6.79904i | −0.294223 | + | 0.509610i | ||||
\(179\) | −4.26391 | − | 7.38530i | −0.318699 | − | 0.552003i | 0.661518 | − | 0.749930i | \(-0.269913\pi\) |
−0.980217 | + | 0.197926i | \(0.936579\pi\) | |||||||
\(180\) | −0.623490 | − | 1.07992i | −0.0464722 | − | 0.0804922i | ||||
\(181\) | −3.63640 | −0.270291 | −0.135146 | − | 0.990826i | \(-0.543150\pi\) | ||||
−0.135146 | + | 0.990826i | \(0.543150\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −7.82908 | −0.578743 | ||||||||
\(184\) | −5.35958 | − | 9.28307i | −0.395114 | − | 0.684357i | ||||
\(185\) | −6.38135 | − | 11.0528i | −0.469167 | − | 0.812620i | ||||
\(186\) | 4.75786 | − | 8.24086i | 0.348864 | − | 0.604249i | ||||
\(187\) | −3.58642 | −0.262265 | ||||||||
\(188\) | 2.85205 | − | 4.93990i | 0.208007 | − | 0.360279i | ||||
\(189\) | 2.40097 | − | 4.15860i | 0.174645 | − | 0.302494i | ||||
\(190\) | −8.88471 | −0.644564 | ||||||||
\(191\) | −10.6908 | + | 18.5171i | −0.773561 | + | 1.33985i | 0.162039 | + | 0.986784i | \(0.448193\pi\) |
−0.935600 | + | 0.353062i | \(0.885140\pi\) | |||||||
\(192\) | −4.44989 | − | 7.70743i | −0.321143 | − | 0.556236i | ||||
\(193\) | 4.21379 | + | 7.29850i | 0.303315 | + | 0.525358i | 0.976885 | − | 0.213766i | \(-0.0685731\pi\) |
−0.673569 | + | 0.739124i | \(0.735240\pi\) | |||||||
\(194\) | −12.5090 | −0.898096 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −7.14675 | −0.510482 | ||||||||
\(197\) | 13.2383 | + | 22.9293i | 0.943186 | + | 1.63365i | 0.759343 | + | 0.650691i | \(0.225521\pi\) |
0.183844 | + | 0.982955i | \(0.441146\pi\) | |||||||
\(198\) | −0.914542 | − | 1.58403i | −0.0649937 | − | 0.112572i | ||||
\(199\) | 7.12618 | − | 12.3429i | 0.505161 | − | 0.874965i | −0.494821 | − | 0.868995i | \(-0.664766\pi\) |
0.999982 | − | 0.00597014i | \(-0.00190036\pi\) | |||||||
\(200\) | −8.69202 | −0.614619 | ||||||||
\(201\) | 1.79105 | − | 3.10219i | 0.126331 | − | 0.218812i | ||||
\(202\) | −8.65883 | + | 14.9975i | −0.609233 | + | 1.05522i | ||||
\(203\) | −8.88769 | −0.623794 | ||||||||
\(204\) | −0.544073 | + | 0.942362i | −0.0380927 | + | 0.0659785i | ||||
\(205\) | 1.74698 | + | 3.02586i | 0.122014 | + | 0.211335i | ||||
\(206\) | 10.8509 | + | 18.7942i | 0.756015 | + | 1.30946i | ||||
\(207\) | −3.51573 | −0.244360 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.72992 | 0.258004 | ||||||||
\(210\) | −8.38889 | − | 14.5300i | −0.578888 | − | 1.00266i | ||||
\(211\) | −0.925428 | − | 1.60289i | −0.0637091 | − | 0.110347i | 0.832412 | − | 0.554158i | \(-0.186960\pi\) |
−0.896121 | + | 0.443811i | \(0.853626\pi\) | |||||||
\(212\) | −1.96950 | + | 3.41127i | −0.135266 | + | 0.234287i | ||||
\(213\) | −8.83877 | −0.605623 | ||||||||
\(214\) | −6.57942 | + | 11.3959i | −0.449760 | + | 0.779007i | ||||
\(215\) | 3.33997 | − | 5.78500i | 0.227784 | − | 0.394534i | ||||
\(216\) | −3.04892 | −0.207453 | ||||||||
\(217\) | −18.3218 | + | 31.7344i | −1.24377 | + | 2.15427i | ||||
\(218\) | −0.667563 | − | 1.15625i | −0.0452131 | − | 0.0783113i | ||||
\(219\) | 3.84601 | + | 6.66149i | 0.259889 | + | 0.450142i | ||||
\(220\) | 1.82908 | 0.123317 | ||||||||
\(221\) | 0 | 0 | ||||||||
\(222\) | −5.67994 | −0.381213 | ||||||||
\(223\) | −9.32520 | − | 16.1517i | −0.624462 | − | 1.08160i | −0.988645 | − | 0.150272i | \(-0.951985\pi\) |
0.364183 | − | 0.931327i | \(-0.381348\pi\) | |||||||
\(224\) | 5.92274 | + | 10.2585i | 0.395730 | + | 0.685424i | ||||
\(225\) | −1.42543 | + | 2.46891i | −0.0950285 | + | 0.164594i | ||||
\(226\) | −20.6136 | −1.37119 | ||||||||
\(227\) | −4.87867 | + | 8.45010i | −0.323808 | + | 0.560853i | −0.981270 | − | 0.192635i | \(-0.938297\pi\) |
0.657462 | + | 0.753488i | \(0.271630\pi\) | |||||||
\(228\) | 0.565843 | − | 0.980069i | 0.0374739 | − | 0.0649067i | ||||
\(229\) | −2.86294 | −0.189188 | −0.0945941 | − | 0.995516i | \(-0.530155\pi\) | ||||
−0.0945941 | + | 0.995516i | \(0.530155\pi\) | |||||||
\(230\) | −6.14191 | + | 10.6381i | −0.404985 | + | 0.701455i | ||||
\(231\) | 3.52177 | + | 6.09989i | 0.231715 | + | 0.401343i | ||||
\(232\) | 2.82155 | + | 4.88707i | 0.185244 | + | 0.320852i | ||||
\(233\) | −5.78554 | −0.379024 | −0.189512 | − | 0.981878i | \(-0.560691\pi\) | ||||
−0.189512 | + | 0.981878i | \(0.560691\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −35.9124 | −2.34267 | ||||||||
\(236\) | 0.484271 | + | 0.838781i | 0.0315233 | + | 0.0546000i | ||||
\(237\) | 2.01089 | + | 3.48296i | 0.130621 | + | 0.226242i | ||||
\(238\) | −7.32036 | + | 12.6792i | −0.474508 | + | 0.821872i | ||||
\(239\) | 7.09246 | 0.458773 | 0.229386 | − | 0.973335i | \(-0.426328\pi\) | ||||
0.229386 | + | 0.973335i | \(0.426328\pi\) | |||||||
\(240\) | −4.07942 | + | 7.06576i | −0.263325 | + | 0.456093i | ||||
\(241\) | −1.94989 | + | 3.37730i | −0.125603 | + | 0.217551i | −0.921969 | − | 0.387265i | \(-0.873420\pi\) |
0.796365 | + | 0.604816i | \(0.206753\pi\) | |||||||
\(242\) | −11.0339 | −0.709283 | ||||||||
\(243\) | −0.500000 | + | 0.866025i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −1.74214 | − | 3.01747i | −0.111529 | − | 0.193174i | ||||
\(245\) | 22.4976 | + | 38.9670i | 1.43732 | + | 2.48951i | ||||
\(246\) | 1.55496 | 0.0991405 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 23.2664 | 1.47742 | ||||||||
\(249\) | 0.326396 | + | 0.565335i | 0.0206845 | + | 0.0358267i | ||||
\(250\) | −3.75451 | − | 6.50301i | −0.237456 | − | 0.411286i | ||||
\(251\) | 1.22252 | − | 2.11747i | 0.0771648 | − | 0.133653i | −0.824861 | − | 0.565336i | \(-0.808747\pi\) |
0.902026 | + | 0.431682i | \(0.142080\pi\) | |||||||
\(252\) | 2.13706 | 0.134622 | ||||||||
\(253\) | 2.57846 | − | 4.46602i | 0.162106 | − | 0.280776i | ||||
\(254\) | 5.94653 | − | 10.2997i | 0.373119 | − | 0.646261i | ||||
\(255\) | 6.85086 | 0.429017 | ||||||||
\(256\) | 5.05645 | − | 8.75803i | 0.316028 | − | 0.547377i | ||||
\(257\) | 7.06518 | + | 12.2372i | 0.440714 | + | 0.763339i | 0.997743 | − | 0.0671545i | \(-0.0213920\pi\) |
−0.557029 | + | 0.830493i | \(0.688059\pi\) | |||||||
\(258\) | −1.48643 | − | 2.57457i | −0.0925409 | − | 0.160285i | ||||
\(259\) | 21.8726 | 1.35910 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.85086 | 0.114565 | ||||||||
\(262\) | 3.43482 | + | 5.94928i | 0.212204 | + | 0.367548i | ||||
\(263\) | 11.8617 | + | 20.5451i | 0.731426 | + | 1.26687i | 0.956274 | + | 0.292473i | \(0.0944783\pi\) |
−0.224847 | + | 0.974394i | \(0.572188\pi\) | |||||||
\(264\) | 2.23609 | − | 3.87303i | 0.137622 | − | 0.238368i | ||||
\(265\) | 24.7995 | 1.52342 | ||||||||
\(266\) | 7.61327 | − | 13.1866i | 0.466799 | − | 0.808520i | ||||
\(267\) | −3.14795 | + | 5.45241i | −0.192651 | + | 0.333682i | ||||
\(268\) | 1.59419 | 0.0973805 | ||||||||
\(269\) | 2.95808 | − | 5.12355i | 0.180357 | − | 0.312388i | −0.761645 | − | 0.647995i | \(-0.775608\pi\) |
0.942002 | + | 0.335606i | \(0.108941\pi\) | |||||||
\(270\) | 1.74698 | + | 3.02586i | 0.106318 | + | 0.184148i | ||||
\(271\) | −1.59515 | − | 2.76287i | −0.0968982 | − | 0.167833i | 0.813501 | − | 0.581563i | \(-0.197559\pi\) |
−0.910399 | + | 0.413731i | \(0.864225\pi\) | |||||||
\(272\) | 7.11960 | 0.431689 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −20.1806 | −1.21915 | ||||||||
\(275\) | −2.09083 | − | 3.62143i | −0.126082 | − | 0.218381i | ||||
\(276\) | −0.782323 | − | 1.35502i | −0.0470903 | − | 0.0815629i | ||||
\(277\) | −10.9683 | + | 18.9977i | −0.659022 | + | 1.14146i | 0.321848 | + | 0.946791i | \(0.395696\pi\) |
−0.980869 | + | 0.194667i | \(0.937637\pi\) | |||||||
\(278\) | −13.1045 | −0.785958 | ||||||||
\(279\) | 3.81551 | − | 6.60866i | 0.228429 | − | 0.395650i | ||||
\(280\) | 20.5112 | − | 35.5264i | 1.22578 | − | 2.12311i | ||||
\(281\) | −11.9903 | −0.715282 | −0.357641 | − | 0.933859i | \(-0.616419\pi\) | ||||
−0.357641 | + | 0.933859i | \(0.616419\pi\) | |||||||
\(282\) | −7.99127 | + | 13.8413i | −0.475873 | + | 0.824237i | ||||
\(283\) | 7.18329 | + | 12.4418i | 0.427002 | + | 0.739590i | 0.996605 | − | 0.0823303i | \(-0.0262362\pi\) |
−0.569603 | + | 0.821920i | \(0.692903\pi\) | |||||||
\(284\) | −1.96681 | − | 3.40662i | −0.116709 | − | 0.202146i | ||||
\(285\) | −7.12498 | −0.422047 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −5.98792 | −0.353456 | ||||||||
\(288\) | −1.23341 | − | 2.13632i | −0.0726791 | − | 0.125884i | ||||
\(289\) | 5.51089 | + | 9.54513i | 0.324170 | + | 0.561478i | ||||
\(290\) | 3.23341 | − | 5.60042i | 0.189872 | − | 0.328868i | ||||
\(291\) | −10.0315 | −0.588055 | ||||||||
\(292\) | −1.71164 | + | 2.96464i | −0.100166 | + | 0.173492i | ||||
\(293\) | 9.37920 | − | 16.2452i | 0.547939 | − | 0.949058i | −0.450477 | − | 0.892788i | \(-0.648746\pi\) |
0.998416 | − | 0.0562695i | \(-0.0179206\pi\) | |||||||
\(294\) | 20.0248 | 1.16787 | ||||||||
\(295\) | 3.04892 | − | 5.28088i | 0.177515 | − | 0.307465i | ||||
\(296\) | −6.94385 | − | 12.0271i | −0.403603 | − | 0.699061i | ||||
\(297\) | −0.733406 | − | 1.27030i | −0.0425565 | − | 0.0737101i | ||||
\(298\) | 17.8944 | 1.03659 | ||||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | −1.26875 | −0.0732513 | ||||||||
\(301\) | 5.72401 | + | 9.91428i | 0.329927 | + | 0.571450i | ||||
\(302\) | −1.22587 | − | 2.12327i | −0.0705411 | − | 0.122181i | ||||
\(303\) | −6.94385 | + | 12.0271i | −0.398913 | + | 0.690938i | ||||
\(304\) | −7.40449 | −0.424676 | ||||||||
\(305\) | −10.9683 | + | 18.9977i | −0.628043 | + | 1.08780i | ||||
\(306\) | 1.52446 | − | 2.64044i | 0.0871475 | − | 0.150944i | ||||
\(307\) | −25.6262 | −1.46257 | −0.731283 | − | 0.682074i | \(-0.761078\pi\) | ||||
−0.731283 | + | 0.682074i | \(0.761078\pi\) | |||||||
\(308\) | −1.56734 | + | 2.71470i | −0.0893072 | + | 0.154685i | ||||
\(309\) | 8.70171 | + | 15.0718i | 0.495023 | + | 0.857405i | ||||
\(310\) | −13.3312 | − | 23.0904i | −0.757164 | − | 1.31145i | ||||
\(311\) | 11.3817 | 0.645394 | 0.322697 | − | 0.946502i | \(-0.395410\pi\) | ||||
0.322697 | + | 0.946502i | \(0.395410\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 27.5743 | 1.55859 | 0.779297 | − | 0.626655i | \(-0.215576\pi\) | ||||
0.779297 | + | 0.626655i | \(0.215576\pi\) | |||||||
\(314\) | −6.67241 | − | 11.5569i | −0.376546 | − | 0.652196i | ||||
\(315\) | −6.72737 | − | 11.6521i | −0.379044 | − | 0.656524i | ||||
\(316\) | −0.894928 | + | 1.55006i | −0.0503436 | + | 0.0871977i | ||||
\(317\) | 11.2597 | 0.632405 | 0.316203 | − | 0.948692i | \(-0.397592\pi\) | ||||
0.316203 | + | 0.948692i | \(0.397592\pi\) | |||||||
\(318\) | 5.51842 | − | 9.55818i | 0.309458 | − | 0.535996i | ||||
\(319\) | −1.35743 | + | 2.35113i | −0.0760014 | + | 0.131638i | ||||
\(320\) | −24.9366 | −1.39400 | ||||||||
\(321\) | −5.27628 | + | 9.13879i | −0.294493 | + | 0.510077i | ||||
\(322\) | −10.5260 | − | 18.2315i | −0.586588 | − | 1.01600i | ||||
\(323\) | 3.10872 | + | 5.38446i | 0.172974 | + | 0.299599i | ||||
\(324\) | −0.445042 | −0.0247245 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 4.86294 | 0.269333 | ||||||||
\(327\) | −0.535344 | − | 0.927243i | −0.0296046 | − | 0.0512766i | ||||
\(328\) | 1.90097 | + | 3.29257i | 0.104963 | + | 0.181802i | ||||
\(329\) | 30.7732 | − | 53.3008i | 1.69658 | − | 2.93857i | ||||
\(330\) | −5.12498 | −0.282121 | ||||||||
\(331\) | −5.95324 | + | 10.3113i | −0.327220 | + | 0.566761i | −0.981959 | − | 0.189094i | \(-0.939445\pi\) |
0.654739 | + | 0.755855i | \(0.272778\pi\) | |||||||
\(332\) | −0.145260 | + | 0.251598i | −0.00797218 | + | 0.0138082i | ||||
\(333\) | −4.55496 | −0.249610 | ||||||||
\(334\) | −13.1054 | + | 22.6992i | −0.717094 | + | 1.24204i | ||||
\(335\) | −5.01842 | − | 8.69215i | −0.274185 | − | 0.474903i | ||||
\(336\) | −6.99127 | − | 12.1092i | −0.381405 | − | 0.660613i | ||||
\(337\) | 17.1672 | 0.935157 | 0.467578 | − | 0.883952i | \(-0.345127\pi\) | ||||
0.467578 | + | 0.883952i | \(0.345127\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −16.5308 | −0.897830 | ||||||||
\(340\) | 1.52446 | + | 2.64044i | 0.0826754 | + | 0.143198i | ||||
\(341\) | 5.59664 | + | 9.69366i | 0.303075 | + | 0.524941i | ||||
\(342\) | −1.58546 | + | 2.74609i | −0.0857317 | + | 0.148492i | ||||
\(343\) | −43.4989 | −2.34872 | ||||||||
\(344\) | 3.63437 | − | 6.29492i | 0.195952 | − | 0.339399i | ||||
\(345\) | −4.92543 | + | 8.53109i | −0.265176 | + | 0.459298i | ||||
\(346\) | 16.5036 | 0.887242 | ||||||||
\(347\) | 12.1380 | − | 21.0237i | 0.651603 | − | 1.12861i | −0.331131 | − | 0.943585i | \(-0.607430\pi\) |
0.982734 | − | 0.185025i | \(-0.0592366\pi\) | |||||||
\(348\) | 0.411854 | + | 0.713352i | 0.0220777 | + | 0.0382397i | ||||
\(349\) | −2.28621 | − | 3.95983i | −0.122378 | − | 0.211965i | 0.798327 | − | 0.602224i | \(-0.205719\pi\) |
−0.920705 | + | 0.390259i | \(0.872385\pi\) | |||||||
\(350\) | −17.0707 | −0.912467 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 3.61835 | 0.192859 | ||||||||
\(353\) | −3.03803 | − | 5.26203i | −0.161698 | − | 0.280069i | 0.773780 | − | 0.633455i | \(-0.218364\pi\) |
−0.935478 | + | 0.353385i | \(0.885030\pi\) | |||||||
\(354\) | −1.35690 | − | 2.35021i | −0.0721182 | − | 0.124912i | ||||
\(355\) | −12.3828 | + | 21.4477i | −0.657213 | + | 1.13833i | ||||
\(356\) | −2.80194 | −0.148502 | ||||||||
\(357\) | −5.87047 | + | 10.1680i | −0.310698 | + | 0.538145i | ||||
\(358\) | −5.31700 | + | 9.20932i | −0.281012 | + | 0.486728i | ||||
\(359\) | 14.9661 | 0.789883 | 0.394942 | − | 0.918706i | \(-0.370765\pi\) | ||||
0.394942 | + | 0.918706i | \(0.370765\pi\) | |||||||
\(360\) | −4.27144 | + | 7.39835i | −0.225125 | + | 0.389927i | ||||
\(361\) | 6.26689 | + | 10.8546i | 0.329836 | + | 0.571293i | ||||
\(362\) | 2.26726 | + | 3.92701i | 0.119164 | + | 0.206399i | ||||
\(363\) | −8.84846 | −0.464424 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 21.5526 | 1.12811 | ||||||||
\(366\) | 4.88135 | + | 8.45475i | 0.255152 | + | 0.441937i | ||||
\(367\) | −18.5417 | − | 32.1151i | −0.967868 | − | 1.67640i | −0.701704 | − | 0.712468i | \(-0.747577\pi\) |
−0.266164 | − | 0.963928i | \(-0.585756\pi\) | |||||||
\(368\) | −5.11865 | + | 8.86575i | −0.266828 | + | 0.462159i | ||||
\(369\) | 1.24698 | 0.0649152 | ||||||||
\(370\) | −7.95742 | + | 13.7827i | −0.413687 | + | 0.716526i | ||||
\(371\) | −21.2506 | + | 36.8072i | −1.10328 | + | 1.91093i | ||||
\(372\) | 3.39612 | 0.176081 | ||||||||
\(373\) | 18.2545 | − | 31.6177i | 0.945183 | − | 1.63710i | 0.189798 | − | 0.981823i | \(-0.439217\pi\) |
0.755385 | − | 0.655282i | \(-0.227450\pi\) | |||||||
\(374\) | 2.23609 | + | 3.87303i | 0.115626 | + | 0.200270i | ||||
\(375\) | −3.01089 | − | 5.21501i | −0.155481 | − | 0.269302i | ||||
\(376\) | −39.0780 | −2.01529 | ||||||||
\(377\) | 0 | 0 | ||||||||
\(378\) | −5.98792 | −0.307985 | ||||||||
\(379\) | −13.2925 | − | 23.0234i | −0.682792 | − | 1.18263i | −0.974125 | − | 0.226009i | \(-0.927432\pi\) |
0.291333 | − | 0.956622i | \(-0.405901\pi\) | |||||||
\(380\) | −1.58546 | − | 2.74609i | −0.0813323 | − | 0.140872i | ||||
\(381\) | 4.76875 | − | 8.25972i | 0.244310 | − | 0.423158i | ||||
\(382\) | 26.6625 | 1.36417 | ||||||||
\(383\) | −7.17510 | + | 12.4276i | −0.366630 | + | 0.635022i | −0.989036 | − | 0.147672i | \(-0.952822\pi\) |
0.622406 | + | 0.782694i | \(0.286155\pi\) | |||||||
\(384\) | −3.08211 | + | 5.33836i | −0.157283 | + | 0.272422i | ||||
\(385\) | 19.7356 | 1.00582 | ||||||||
\(386\) | 5.25451 | − | 9.10108i | 0.267448 | − | 0.463233i | ||||
\(387\) | −1.19202 | − | 2.06464i | −0.0605939 | − | 0.104952i | ||||
\(388\) | −2.23221 | − | 3.86630i | −0.113323 | − | 0.196282i | ||||
\(389\) | −22.6582 | −1.14881 | −0.574407 | − | 0.818570i | \(-0.694767\pi\) | ||||
−0.574407 | + | 0.818570i | \(0.694767\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 8.59611 | 0.434724 | ||||||||
\(392\) | 24.4807 | + | 42.4018i | 1.23646 | + | 2.14161i | ||||
\(393\) | 2.75451 | + | 4.77096i | 0.138947 | + | 0.240663i | ||||
\(394\) | 16.5078 | − | 28.5924i | 0.831652 | − | 1.44046i | ||||
\(395\) | 11.2687 | 0.566992 | ||||||||
\(396\) | 0.326396 | − | 0.565335i | 0.0164020 | − | 0.0284092i | ||||
\(397\) | 3.95377 | − | 6.84813i | 0.198434 | − | 0.343698i | −0.749587 | − | 0.661906i | \(-0.769748\pi\) |
0.948021 | + | 0.318208i | \(0.103081\pi\) | |||||||
\(398\) | −17.7724 | −0.890850 | ||||||||
\(399\) | 6.10537 | − | 10.5748i | 0.305651 | − | 0.529402i | ||||
\(400\) | 4.15064 | + | 7.18911i | 0.207532 | + | 0.359456i | ||||
\(401\) | 1.46830 | + | 2.54318i | 0.0733236 | + | 0.127000i | 0.900356 | − | 0.435154i | \(-0.143306\pi\) |
−0.827032 | + | 0.562154i | \(0.809973\pi\) | |||||||
\(402\) | −4.46681 | −0.222784 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −6.18060 | −0.307497 | ||||||||
\(405\) | 1.40097 | + | 2.42655i | 0.0696147 | + | 0.120576i | ||||
\(406\) | 5.54138 | + | 9.59796i | 0.275014 | + | 0.476339i | ||||
\(407\) | 3.34063 | − | 5.78615i | 0.165589 | − | 0.286809i | ||||
\(408\) | 7.45473 | 0.369064 | ||||||||
\(409\) | 5.87747 | − | 10.1801i | 0.290622 | − | 0.503372i | −0.683335 | − | 0.730105i | \(-0.739471\pi\) |
0.973957 | + | 0.226733i | \(0.0728044\pi\) | |||||||
\(410\) | 2.17845 | − | 3.77318i | 0.107586 | − | 0.186344i | ||||
\(411\) | −16.1836 | −0.798278 | ||||||||
\(412\) | −3.87263 | + | 6.70758i | −0.190791 | + | 0.330459i | ||||
\(413\) | 5.22521 | + | 9.05033i | 0.257116 | + | 0.445338i | ||||
\(414\) | 2.19202 | + | 3.79669i | 0.107732 | + | 0.186597i | ||||
\(415\) | 1.82908 | 0.0897862 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −10.5090 | −0.514629 | ||||||||
\(418\) | −2.32557 | − | 4.02800i | −0.113747 | − | 0.197016i | ||||
\(419\) | −3.67092 | − | 6.35821i | −0.179336 | − | 0.310619i | 0.762317 | − | 0.647203i | \(-0.224062\pi\) |
−0.941653 | + | 0.336584i | \(0.890728\pi\) | |||||||
\(420\) | 2.99396 | − | 5.18569i | 0.146090 | − | 0.253036i | ||||
\(421\) | −25.6963 | −1.25236 | −0.626181 | − | 0.779677i | \(-0.715383\pi\) | ||||
−0.626181 | + | 0.779677i | \(0.715383\pi\) | |||||||
\(422\) | −1.15399 | + | 1.99877i | −0.0561753 | + | 0.0972985i | ||||
\(423\) | −6.40850 | + | 11.0999i | −0.311592 | + | 0.539693i | ||||
\(424\) | 26.9855 | 1.31053 | ||||||||
\(425\) | 3.48523 | − | 6.03660i | 0.169058 | − | 0.292818i | ||||
\(426\) | 5.51089 | + | 9.54513i | 0.267003 | + | 0.462463i | ||||
\(427\) | −18.7974 | − | 32.5580i | −0.909669 | − | 1.57559i | ||||
\(428\) | −4.69633 | −0.227006 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −8.32975 | −0.401696 | ||||||||
\(431\) | 4.47099 | + | 7.74399i | 0.215360 | + | 0.373015i | 0.953384 | − | 0.301760i | \(-0.0975741\pi\) |
−0.738024 | + | 0.674775i | \(0.764241\pi\) | |||||||
\(432\) | 1.45593 | + | 2.52174i | 0.0700483 | + | 0.121327i | ||||
\(433\) | −1.45742 | + | 2.52432i | −0.0700391 | + | 0.121311i | −0.898918 | − | 0.438116i | \(-0.855646\pi\) |
0.828879 | + | 0.559428i | \(0.188979\pi\) | |||||||
\(434\) | 45.6939 | 2.19338 | ||||||||
\(435\) | 2.59299 | − | 4.49119i | 0.124324 | − | 0.215336i | ||||
\(436\) | 0.238250 | − | 0.412662i | 0.0114101 | − | 0.0197629i | ||||
\(437\) | −8.94007 | −0.427661 | ||||||||
\(438\) | 4.79590 | − | 8.30674i | 0.229157 | − | 0.396911i | ||||
\(439\) | −4.52930 | − | 7.84498i | −0.216172 | − | 0.374421i | 0.737463 | − | 0.675388i | \(-0.236024\pi\) |
−0.953634 | + | 0.300967i | \(0.902690\pi\) | |||||||
\(440\) | −6.26540 | − | 10.8520i | −0.298691 | − | 0.517348i | ||||
\(441\) | 16.0586 | 0.764696 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 11.2325 | 0.533672 | 0.266836 | − | 0.963742i | \(-0.414022\pi\) | ||||
0.266836 | + | 0.963742i | \(0.414022\pi\) | |||||||
\(444\) | −1.01357 | − | 1.75556i | −0.0481021 | − | 0.0833152i | ||||
\(445\) | 8.82036 | + | 15.2773i | 0.418125 | + | 0.724214i | ||||
\(446\) | −11.6283 | + | 20.1409i | −0.550618 | + | 0.953698i | ||||
\(447\) | 14.3502 | 0.678741 | ||||||||
\(448\) | 21.3681 | − | 37.0106i | 1.00955 | − | 1.74859i | ||||
\(449\) | 14.3790 | − | 24.9051i | 0.678585 | − | 1.17534i | −0.296822 | − | 0.954933i | \(-0.595927\pi\) |
0.975407 | − | 0.220411i | \(-0.0707399\pi\) | |||||||
\(450\) | 3.55496 | 0.167582 | ||||||||
\(451\) | −0.914542 | + | 1.58403i | −0.0430641 | + | 0.0745892i | ||||
\(452\) | −3.67845 | − | 6.37126i | −0.173020 | − | 0.299679i | ||||
\(453\) | −0.983074 | − | 1.70273i | −0.0461888 | − | 0.0800014i | ||||
\(454\) | 12.1672 | 0.571035 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −7.75302 | −0.363068 | ||||||||
\(457\) | −9.53803 | − | 16.5204i | −0.446170 | − | 0.772790i | 0.551963 | − | 0.833869i | \(-0.313879\pi\) |
−0.998133 | + | 0.0610792i | \(0.980546\pi\) | |||||||
\(458\) | 1.78501 | + | 3.09173i | 0.0834081 | + | 0.144467i | ||||
\(459\) | 1.22252 | − | 2.11747i | 0.0570624 | − | 0.0988350i | ||||
\(460\) | −4.38404 | −0.204407 | ||||||||
\(461\) | 15.8666 | − | 27.4817i | 0.738981 | − | 1.27995i | −0.213974 | − | 0.976839i | \(-0.568641\pi\) |
0.952955 | − | 0.303113i | \(-0.0980258\pi\) | |||||||
\(462\) | 4.39158 | − | 7.60643i | 0.204315 | − | 0.353883i | ||||
\(463\) | 36.4784 | 1.69530 | 0.847648 | − | 0.530559i | \(-0.178018\pi\) | ||||
0.847648 | + | 0.530559i | \(0.178018\pi\) | |||||||
\(464\) | 2.69471 | − | 4.66737i | 0.125099 | − | 0.216677i | ||||
\(465\) | −10.6908 | − | 18.5171i | −0.495775 | − | 0.858708i | ||||
\(466\) | 3.60723 | + | 6.24790i | 0.167102 | + | 0.289428i | ||||
\(467\) | 13.0000 | 0.601568 | 0.300784 | − | 0.953692i | \(-0.402752\pi\) | ||||
0.300784 | + | 0.953692i | \(0.402752\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 17.2010 | 0.794271 | ||||||||
\(470\) | 22.3910 | + | 38.7824i | 1.03282 | + | 1.78890i | ||||
\(471\) | −5.35086 | − | 9.26795i | −0.246554 | − | 0.427045i | ||||
\(472\) | 3.31767 | − | 5.74637i | 0.152708 | − | 0.264498i | ||||
\(473\) | 3.49694 | 0.160790 | ||||||||
\(474\) | 2.50753 | − | 4.34317i | 0.115175 | − | 0.199489i | ||||
\(475\) | −3.62469 | + | 6.27814i | −0.166312 | + | 0.288061i | ||||
\(476\) | −5.22521 | −0.239497 | ||||||||
\(477\) | 4.42543 | − | 7.66507i | 0.202626 | − | 0.350959i | ||||
\(478\) | −4.42208 | − | 7.65926i | −0.202261 | − | 0.350326i | ||||
\(479\) | 2.80827 | + | 4.86407i | 0.128313 | + | 0.222245i | 0.923023 | − | 0.384744i | \(-0.125710\pi\) |
−0.794710 | + | 0.606989i | \(0.792377\pi\) | |||||||
\(480\) | −6.91185 | −0.315482 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | 4.86294 | 0.221501 | ||||||||
\(483\) | −8.44116 | − | 14.6205i | −0.384086 | − | 0.665256i | ||||
\(484\) | −1.96897 | − | 3.41035i | −0.0894985 | − | 0.155016i | ||||
\(485\) | −14.0538 | + | 24.3418i | −0.638148 | + | 1.10531i | ||||
\(486\) | 1.24698 | 0.0565641 | ||||||||
\(487\) | −4.87867 | + | 8.45010i | −0.221073 | + | 0.382910i | −0.955134 | − | 0.296173i | \(-0.904289\pi\) |
0.734061 | + | 0.679084i | \(0.237623\pi\) | |||||||
\(488\) | −11.9351 | + | 20.6722i | −0.540277 | + | 0.935788i | ||||
\(489\) | 3.89977 | 0.176354 | ||||||||
\(490\) | 28.0541 | − | 48.5911i | 1.26735 | − | 2.19512i | ||||
\(491\) | 3.69418 | + | 6.39850i | 0.166716 | + | 0.288760i | 0.937263 | − | 0.348622i | \(-0.113350\pi\) |
−0.770547 | + | 0.637383i | \(0.780017\pi\) | |||||||
\(492\) | 0.277479 | + | 0.480608i | 0.0125097 | + | 0.0216675i | ||||
\(493\) | −4.52542 | −0.203815 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.10992 | −0.184727 | ||||||||
\(496\) | −11.1102 | − | 19.2435i | −0.498863 | − | 0.864056i | ||||
\(497\) | −21.2216 | − | 36.7569i | −0.951920 | − | 1.64877i | ||||
\(498\) | 0.407010 | − | 0.704961i | 0.0182385 | − | 0.0315901i | ||||
\(499\) | 43.2814 | 1.93754 | 0.968771 | − | 0.247956i | \(-0.0797589\pi\) | ||||
0.968771 | + | 0.247956i | \(0.0797589\pi\) | |||||||
\(500\) | 1.33997 | − | 2.32090i | 0.0599253 | − | 0.103794i | ||||
\(501\) | −10.5097 | + | 18.2033i | −0.469538 | + | 0.813264i | ||||
\(502\) | −3.04892 | −0.136080 | ||||||||
\(503\) | −5.38351 | + | 9.32451i | −0.240039 | + | 0.415760i | −0.960725 | − | 0.277502i | \(-0.910494\pi\) |
0.720686 | + | 0.693261i | \(0.243827\pi\) | |||||||
\(504\) | −7.32036 | − | 12.6792i | −0.326075 | − | 0.564778i | ||||
\(505\) | 19.4562 | + | 33.6992i | 0.865791 | + | 1.49959i | ||||
\(506\) | −6.43057 | −0.285874 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 4.24459 | 0.188323 | ||||||||
\(509\) | −20.7724 | − | 35.9788i | −0.920720 | − | 1.59473i | −0.798303 | − | 0.602256i | \(-0.794269\pi\) |
−0.122417 | − | 0.992479i | \(-0.539065\pi\) | |||||||
\(510\) | −4.27144 | − | 7.39835i | −0.189142 | − | 0.327604i | ||||
\(511\) | −18.4683 | + | 31.9880i | −0.816990 | + | 1.41507i | ||||
\(512\) | −24.9390 | −1.10216 | ||||||||
\(513\) | −1.27144 | + | 2.20220i | −0.0561354 | + | 0.0972293i | ||||
\(514\) | 8.81013 | − | 15.2596i | 0.388598 | − | 0.673072i | ||||
\(515\) | 48.7633 | 2.14877 | ||||||||
\(516\) | 0.530499 | − | 0.918852i | 0.0233539 | − | 0.0404502i | ||||
\(517\) | −9.40007 | − | 16.2814i | −0.413415 | − | 0.716055i | ||||
\(518\) | −13.6374 | − | 23.6206i | −0.599191 | − | 1.03783i | ||||
\(519\) | 13.2349 | 0.580948 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 25.7198 | 1.12680 | 0.563402 | − | 0.826183i | \(-0.309492\pi\) | ||||
0.563402 | + | 0.826183i | \(0.309492\pi\) | |||||||
\(522\) | −1.15399 | − | 1.99877i | −0.0505087 | − | 0.0874837i | ||||
\(523\) | −4.29643 | − | 7.44163i | −0.187870 | − | 0.325400i | 0.756670 | − | 0.653797i | \(-0.226825\pi\) |
−0.944540 | + | 0.328397i | \(0.893492\pi\) | |||||||
\(524\) | −1.22587 | + | 2.12327i | −0.0535525 | + | 0.0927557i | ||||
\(525\) | −13.6896 | −0.597464 | ||||||||
\(526\) | 14.7913 | − | 25.6194i | 0.644933 | − | 1.11706i | ||||
\(527\) | −9.32908 | + | 16.1584i | −0.406381 | + | 0.703873i | ||||
\(528\) | −4.27114 | −0.185878 | ||||||||
\(529\) | 5.31982 | − | 9.21420i | 0.231297 | − | 0.400618i | ||||
\(530\) | −15.4623 | − | 26.7814i | −0.671638 | − | 1.16331i | ||||
\(531\) | −1.08815 | − | 1.88472i | −0.0472215 | − | 0.0817901i | ||||
\(532\) | 5.43429 | 0.235606 | ||||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 7.85086 | 0.339740 | ||||||||
\(535\) | 14.7838 | + | 25.6063i | 0.639160 | + | 1.10706i | ||||
\(536\) | −5.46077 | − | 9.45833i | −0.235869 | − | 0.408538i | ||||
\(537\) | −4.26391 | + | 7.38530i | −0.184001 | + | 0.318699i | ||||
\(538\) | −7.37734 | −0.318060 | ||||||||
\(539\) | −11.7775 | + | 20.3992i | −0.507292 | + | 0.878655i | ||||
\(540\) | −0.623490 | + | 1.07992i | −0.0268307 | + | 0.0464722i | ||||
\(541\) | −31.3534 | −1.34799 | −0.673995 | − | 0.738736i | \(-0.735423\pi\) | ||||
−0.673995 | + | 0.738736i | \(0.735423\pi\) | |||||||
\(542\) | −1.98911 | + | 3.44525i | −0.0854398 | + | 0.147986i | ||||
\(543\) | 1.81820 | + | 3.14921i | 0.0780264 | + | 0.135146i | ||||
\(544\) | 3.01573 | + | 5.22340i | 0.129298 | + | 0.223951i | ||||
\(545\) | −3.00000 | −0.128506 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 19.9342 | 0.852325 | 0.426163 | − | 0.904647i | \(-0.359865\pi\) | ||||
0.426163 | + | 0.904647i | \(0.359865\pi\) | |||||||
\(548\) | −3.60119 | − | 6.23744i | −0.153835 | − | 0.266450i | ||||
\(549\) | 3.91454 | + | 6.78019i | 0.167069 | + | 0.289371i | ||||
\(550\) | −2.60723 | + | 4.51585i | −0.111173 | + | 0.192557i | ||||
\(551\) | 4.70650 | 0.200503 | ||||||||
\(552\) | −5.35958 | + | 9.28307i | −0.228119 | + | 0.395114i | ||||
\(553\) | −9.65615 | + | 16.7249i | −0.410621 | + | 0.711217i | ||||
\(554\) | 27.3545 | 1.16218 | ||||||||
\(555\) | −6.38135 | + | 11.0528i | −0.270873 | + | 0.469167i | ||||
\(556\) | −2.33848 | − | 4.05036i | −0.0991736 | − | 0.171774i | ||||
\(557\) | 16.6174 | + | 28.7823i | 0.704104 | + | 1.21954i | 0.967014 | + | 0.254723i | \(0.0819844\pi\) |
−0.262910 | + | 0.964820i | \(0.584682\pi\) | |||||||
\(558\) | −9.51573 | −0.402833 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | −39.1782 | −1.65558 | ||||||||
\(561\) | 1.79321 | + | 3.10593i | 0.0757093 | + | 0.131132i | ||||
\(562\) | 7.47584 | + | 12.9485i | 0.315349 | + | 0.546201i | ||||
\(563\) | −1.93565 | + | 3.35264i | −0.0815779 | + | 0.141297i | −0.903928 | − | 0.427685i | \(-0.859329\pi\) |
0.822350 | + | 0.568982i | \(0.192663\pi\) | |||||||
\(564\) | −5.70410 | −0.240186 | ||||||||
\(565\) | −23.1591 | + | 40.1128i | −0.974312 | + | 1.68756i | ||||
\(566\) | 8.95742 | − | 15.5147i | 0.376508 | − | 0.652132i | ||||
\(567\) | −4.80194 | −0.201662 | ||||||||
\(568\) | −13.4743 | + | 23.3382i | −0.565371 | + | 0.979251i | ||||
\(569\) | −10.0728 | − | 17.4467i | −0.422276 | − | 0.731403i | 0.573886 | − | 0.818935i | \(-0.305435\pi\) |
−0.996162 | + | 0.0875324i | \(0.972102\pi\) | |||||||
\(570\) | 4.44235 | + | 7.69438i | 0.186070 | + | 0.322282i | ||||
\(571\) | −32.1269 | −1.34447 | −0.672234 | − | 0.740338i | \(-0.734665\pi\) | ||||
−0.672234 | + | 0.740338i | \(0.734665\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 21.3817 | 0.893231 | ||||||||
\(574\) | 3.73341 | + | 6.46645i | 0.155829 | + | 0.269904i | ||||
\(575\) | 5.01142 | + | 8.68003i | 0.208991 | + | 0.361982i | ||||
\(576\) | −4.44989 | + | 7.70743i | −0.185412 | + | 0.321143i | ||||
\(577\) | 16.7506 | 0.697338 | 0.348669 | − | 0.937246i | \(-0.386634\pi\) | ||||
0.348669 | + | 0.937246i | \(0.386634\pi\) | |||||||
\(578\) | 6.87196 | − | 11.9026i | 0.285836 | − | 0.495082i | ||||
\(579\) | 4.21379 | − | 7.29850i | 0.175119 | − | 0.303315i | ||||
\(580\) | 2.30798 | 0.0958336 | ||||||||
\(581\) | −1.56734 | + | 2.71470i | −0.0650240 | + | 0.112625i | ||||
\(582\) | 6.25451 | + | 10.8331i | 0.259258 | + | 0.449048i | ||||
\(583\) | 6.49127 | + | 11.2432i | 0.268841 | + | 0.465646i | ||||
\(584\) | 23.4523 | 0.970465 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.3913 | −0.966287 | ||||||||
\(587\) | −3.36898 | − | 5.83524i | −0.139053 | − | 0.240846i | 0.788086 | − | 0.615566i | \(-0.211072\pi\) |
−0.927138 | + | 0.374719i | \(0.877739\pi\) | |||||||
\(588\) | 3.57338 | + | 6.18927i | 0.147364 | + | 0.255241i | ||||
\(589\) | 9.70237 | − | 16.8050i | 0.399779 | − | 0.692438i | ||||
\(590\) | −7.60388 | −0.313047 | ||||||||
\(591\) | 13.2383 | − | 22.9293i | 0.544549 | − | 0.943186i | ||||
\(592\) | −6.63169 | + | 11.4864i | −0.272561 | + | 0.472089i | ||||
\(593\) | −18.1172 | −0.743985 | −0.371992 | − | 0.928236i | \(-0.621325\pi\) | ||||
−0.371992 | + | 0.928236i | \(0.621325\pi\) | |||||||
\(594\) | −0.914542 | + | 1.58403i | −0.0375241 | + | 0.0649937i | ||||
\(595\) | 16.4487 | + | 28.4900i | 0.674331 | + | 1.16797i | ||||
\(596\) | 3.19322 | + | 5.53082i | 0.130799 | + | 0.226551i | ||||
\(597\) | −14.2524 | −0.583310 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −26.7851 | −1.09441 | −0.547204 | − | 0.836999i | \(-0.684308\pi\) | ||||
−0.547204 | + | 0.836999i | \(0.684308\pi\) | |||||||
\(600\) | 4.34601 | + | 7.52751i | 0.177425 | + | 0.307309i | ||||
\(601\) | 2.35086 | + | 4.07180i | 0.0958934 | + | 0.166092i | 0.909981 | − | 0.414650i | \(-0.136096\pi\) |
−0.814088 | + | 0.580742i | \(0.802763\pi\) | |||||||
\(602\) | 7.13773 | − | 12.3629i | 0.290912 | − | 0.503874i | ||||
\(603\) | −3.58211 | −0.145875 | ||||||||
\(604\) | 0.437509 | − | 0.757788i | 0.0178020 | − | 0.0308340i | ||||
\(605\) | −12.3964 | + | 21.4712i | −0.503986 | + | 0.872930i | ||||
\(606\) | 17.3177 | 0.703482 | ||||||||
\(607\) | −13.8198 | + | 23.9366i | −0.560929 | + | 0.971558i | 0.436486 | + | 0.899711i | \(0.356223\pi\) |
−0.997416 | + | 0.0718472i | \(0.977111\pi\) | |||||||
\(608\) | −3.13640 | − | 5.43240i | −0.127198 | − | 0.220313i | ||||
\(609\) | 4.44385 | + | 7.69697i | 0.180074 | + | 0.311897i | ||||
\(610\) | 27.3545 | 1.10755 | ||||||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 1.08815 | 0.0439857 | ||||||||
\(613\) | 24.0891 | + | 41.7236i | 0.972950 | + | 1.68520i | 0.686541 | + | 0.727091i | \(0.259128\pi\) |
0.286409 | + | 0.958108i | \(0.407539\pi\) | |||||||
\(614\) | 15.9777 | + | 27.6742i | 0.644807 | + | 1.11684i | ||||
\(615\) | 1.74698 | − | 3.02586i | 0.0704450 | − | 0.122014i | ||||
\(616\) | 21.4752 | 0.865259 | ||||||||
\(617\) | 15.1521 | − | 26.2443i | 0.610002 | − | 1.05655i | −0.381238 | − | 0.924477i | \(-0.624502\pi\) |
0.991239 | − | 0.132077i | \(-0.0421646\pi\) | |||||||
\(618\) | 10.8509 | − | 18.7942i | 0.436485 | − | 0.756015i | ||||
\(619\) | 10.9041 | 0.438272 | 0.219136 | − | 0.975694i | \(-0.429676\pi\) | ||||
0.219136 | + | 0.975694i | \(0.429676\pi\) | |||||||
\(620\) | 4.75786 | − | 8.24086i | 0.191080 | − | 0.330961i | ||||
\(621\) | 1.75786 | + | 3.04471i | 0.0705407 | + | 0.122180i | ||||
\(622\) | −7.09634 | − | 12.2912i | −0.284537 | − | 0.492833i | ||||
\(623\) | −30.2325 | −1.21124 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −31.1269 | −1.24508 | ||||||||
\(626\) | −17.1923 | − | 29.7780i | −0.687143 | − | 1.19017i | ||||
\(627\) | −1.86496 | − | 3.23021i | −0.0744794 | − | 0.129002i | ||||
\(628\) | 2.38135 | − | 4.12463i | 0.0950264 | − | 0.164591i | ||||
\(629\) | 11.1371 | 0.444064 | ||||||||
\(630\) | −8.38889 | + | 14.5300i | −0.334221 | + | 0.578888i | ||||
\(631\) | −5.22617 | + | 9.05199i | −0.208050 | + | 0.360354i | −0.951100 | − | 0.308882i | \(-0.900045\pi\) |
0.743050 | + | 0.669236i | \(0.233379\pi\) | |||||||
\(632\) | 12.2620 | 0.487758 | ||||||||
\(633\) | −0.925428 | + | 1.60289i | −0.0367824 | + | 0.0637091i | ||||
\(634\) | −7.02028 | − | 12.1595i | −0.278811 | − | 0.482915i | ||||
\(635\) | −13.3617 | − | 23.1432i | −0.530244 | − | 0.918410i | ||||
\(636\) | 3.93900 | 0.156192 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 3.38537 | 0.134028 | ||||||||
\(639\) | 4.41939 | + | 7.65460i | 0.174828 | + | 0.302811i | ||||
\(640\) | 8.63587 | + | 14.9578i | 0.341363 | + | 0.591257i | ||||
\(641\) | 8.79709 | − | 15.2370i | 0.347464 | − | 0.601826i | −0.638334 | − | 0.769760i | \(-0.720376\pi\) |
0.985798 | + | 0.167934i | \(0.0537095\pi\) | |||||||
\(642\) | 13.1588 | 0.519338 | ||||||||
\(643\) | 11.3029 | − | 19.5772i | 0.445743 | − | 0.772049i | −0.552361 | − | 0.833605i | \(-0.686273\pi\) |
0.998104 | + | 0.0615560i | \(0.0196063\pi\) | |||||||
\(644\) | 3.75667 | − | 6.50674i | 0.148033 | − | 0.256401i | ||||
\(645\) | −6.67994 | −0.263022 | ||||||||
\(646\) | 3.87651 | − | 6.71431i | 0.152519 | − | 0.264171i | ||||
\(647\) | 12.3959 | + | 21.4703i | 0.487333 | + | 0.844085i | 0.999894 | − | 0.0145658i | \(-0.00463659\pi\) |
−0.512561 | + | 0.858651i | \(0.671303\pi\) | |||||||
\(648\) | 1.52446 | + | 2.64044i | 0.0598864 | + | 0.103726i | ||||
\(649\) | 3.19221 | 0.125305 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 36.6437 | 1.43618 | ||||||||
\(652\) | 0.867781 | + | 1.50304i | 0.0339849 | + | 0.0588636i | ||||
\(653\) | 10.9053 | + | 18.8885i | 0.426757 | + | 0.739164i | 0.996583 | − | 0.0826012i | \(-0.0263228\pi\) |
−0.569826 | + | 0.821765i | \(0.692989\pi\) | |||||||
\(654\) | −0.667563 | + | 1.15625i | −0.0261038 | + | 0.0452131i | ||||
\(655\) | 15.4359 | 0.603132 | ||||||||
\(656\) | 1.81551 | − | 3.14456i | 0.0708838 | − | 0.122774i | ||||
\(657\) | 3.84601 | − | 6.66149i | 0.150047 | − | 0.259889i | ||||
\(658\) | −76.7472 | −2.99192 | ||||||||
\(659\) | −8.27628 | + | 14.3349i | −0.322398 | + | 0.558410i | −0.980982 | − | 0.194097i | \(-0.937822\pi\) |
0.658584 | + | 0.752507i | \(0.271156\pi\) | |||||||
\(660\) | −0.914542 | − | 1.58403i | −0.0355985 | − | 0.0616584i | ||||
\(661\) | −7.97703 | − | 13.8166i | −0.310271 | − | 0.537405i | 0.668150 | − | 0.744026i | \(-0.267086\pi\) |
−0.978421 | + | 0.206622i | \(0.933753\pi\) | |||||||
\(662\) | 14.8471 | 0.577050 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.99031 | 0.0772391 | ||||||||
\(665\) | −17.1069 | − | 29.6299i | −0.663376 | − | 1.14900i | ||||
\(666\) | 2.83997 | + | 4.91897i | 0.110047 | + | 0.190606i | ||||
\(667\) | 3.25355 | − | 5.63532i | 0.125978 | − | 0.218200i | ||||
\(668\) | −9.35450 | −0.361937 | ||||||||
\(669\) | −9.32520 | + | 16.1517i | −0.360533 | + | 0.624462i | ||||
\(670\) | −6.25786 | + | 10.8389i | −0.241762 | + | 0.418745i | ||||
\(671\) | −11.4838 | −0.443327 | ||||||||
\(672\) | 5.92274 | − | 10.2585i | 0.228475 | − | 0.395730i | ||||
\(673\) | 3.69418 | + | 6.39850i | 0.142400 | + | 0.246644i | 0.928400 | − | 0.371583i | \(-0.121185\pi\) |
−0.786000 | + | 0.618227i | \(0.787851\pi\) | |||||||
\(674\) | −10.7036 | − | 18.5391i | −0.412286 | − | 0.714101i | ||||
\(675\) | 2.85086 | 0.109729 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −22.1454 | −0.851118 | −0.425559 | − | 0.904931i | \(-0.639922\pi\) | ||||
−0.425559 | + | 0.904931i | \(0.639922\pi\) | |||||||
\(678\) | 10.3068 | + | 17.8519i | 0.395830 | + | 0.685597i | ||||
\(679\) | −24.0852 | − | 41.7168i | −0.924306 | − | 1.60094i | ||||
\(680\) | 10.4438 | − | 18.0893i | 0.400503 | − | 0.693692i | ||||
\(681\) | 9.75733 | 0.373902 | ||||||||
\(682\) | 6.97889 | − | 12.0878i | 0.267236 | − | 0.462866i | ||||
\(683\) | 4.55011 | − | 7.88103i | 0.174105 | − | 0.301559i | −0.765746 | − | 0.643143i | \(-0.777630\pi\) |
0.939851 | + | 0.341584i | \(0.110963\pi\) | |||||||
\(684\) | −1.13169 | −0.0432711 | ||||||||
\(685\) | −22.6727 | + | 39.2703i | −0.866279 | + | 1.50044i | ||||
\(686\) | 27.1211 | + | 46.9751i | 1.03549 | + | 1.79352i | ||||
\(687\) | 1.43147 | + | 2.47938i | 0.0546139 | + | 0.0945941i | ||||
\(688\) | −6.94198 | −0.264661 | ||||||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 12.2838 | 0.467637 | ||||||||
\(691\) | 6.88553 | + | 11.9261i | 0.261938 | + | 0.453690i | 0.966757 | − | 0.255697i | \(-0.0823050\pi\) |
−0.704819 | + | 0.709387i | \(0.748972\pi\) | |||||||
\(692\) | 2.94504 | + | 5.10096i | 0.111954 | + | 0.193909i | ||||
\(693\) | 3.52177 | − | 6.09989i | 0.133781 | − | 0.231715i | ||||
\(694\) | −30.2717 | −1.14910 | ||||||||
\(695\) | −14.7228 | + | 25.5007i | −0.558468 | + | 0.967295i | ||||
\(696\) | 2.82155 | − | 4.88707i | 0.106951 | − | 0.185244i | ||||
\(697\) | −3.04892 | −0.115486 | ||||||||
\(698\) | −2.85086 | + | 4.93783i | −0.107906 | + | 0.186899i | ||||
\(699\) | 2.89277 | + | 5.01043i | 0.109415 | + | 0.189512i | ||||
\(700\) | −3.04623 | − | 5.27622i | −0.115137 | − | 0.199422i | ||||
\(701\) | 46.5090 | 1.75662 | 0.878311 | − | 0.478090i | \(-0.158671\pi\) | ||||
0.878311 | + | 0.478090i | \(0.158671\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.5827 | −0.436850 | ||||||||
\(704\) | −6.52715 | − | 11.3054i | −0.246001 | − | 0.426086i | ||||
\(705\) | 17.9562 | + | 31.1011i | 0.676270 | + | 1.17133i | ||||
\(706\) | −3.78836 | + | 6.56164i | −0.142577 | + | 0.246951i | ||||
\(707\) | −66.6878 | −2.50805 | ||||||||
\(708\) | 0.484271 | − | 0.838781i | 0.0182000 | − | 0.0315233i | ||||
\(709\) | 3.62283 | − | 6.27492i | 0.136058 | − | 0.235660i | −0.789943 | − | 0.613180i | \(-0.789890\pi\) |
0.926001 | + | 0.377521i | \(0.123223\pi\) | |||||||
\(710\) | 30.8823 | 1.15899 | ||||||||
\(711\) | 2.01089 | − | 3.48296i | 0.0754141 | − | 0.130621i | ||||
\(712\) | 9.59783 | + | 16.6239i | 0.359694 | + | 0.623008i | ||||
\(713\) | −13.4143 | − | 23.2343i | −0.502370 | − | 0.870130i | ||||
\(714\) | 14.6407 | 0.547915 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −3.79523 | −0.141835 | ||||||||
\(717\) | −3.54623 | − | 6.14225i | −0.132436 | − | 0.229386i | ||||
\(718\) | −9.33124 | − | 16.1622i | −0.348239 | − | 0.603167i | ||||
\(719\) | −12.7573 | + | 22.0963i | −0.475768 | + | 0.824055i | −0.999615 | − | 0.0277580i | \(-0.991163\pi\) |
0.523846 | + | 0.851813i | \(0.324497\pi\) | |||||||
\(720\) | 8.15883 | 0.304062 | ||||||||
\(721\) | −41.7851 | + | 72.3739i | −1.55616 | + | 2.69534i | ||||
\(722\) | 7.81468 | − | 13.5354i | 0.290832 | − | 0.503736i | ||||
\(723\) | 3.89977 | 0.145034 | ||||||||
\(724\) | −0.809175 | + | 1.40153i | −0.0300728 | + | 0.0520875i | ||||
\(725\) | −2.63826 | − | 4.56960i | −0.0979825 | − | 0.169711i | ||||
\(726\) | 5.51693 | + | 9.55560i | 0.204752 | + | 0.354641i | ||||
\(727\) | −14.4873 | −0.537303 | −0.268651 | − | 0.963238i | \(-0.586578\pi\) | ||||
−0.268651 | + | 0.963238i | \(0.586578\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 1.00000 | 0.0370370 | ||||||||
\(730\) | −13.4378 | − | 23.2750i | −0.497355 | − | 0.861445i | ||||
\(731\) | 2.91454 | + | 5.04814i | 0.107798 | + | 0.186712i | ||||
\(732\) | −1.74214 | + | 3.01747i | −0.0643912 | + | 0.111529i | ||||
\(733\) | −37.5036 | −1.38523 | −0.692614 | − | 0.721308i | \(-0.743541\pi\) | ||||
−0.692614 | + | 0.721308i | \(0.743541\pi\) | |||||||
\(734\) | −23.1211 | + | 40.0469i | −0.853415 | + | 1.47816i | ||||
\(735\) | 22.4976 | − | 38.9670i | 0.829837 | − | 1.43732i | ||||
\(736\) | −8.67264 | −0.319678 | ||||||||
\(737\) | 2.62714 | − | 4.55034i | 0.0967719 | − | 0.167614i | ||||
\(738\) | −0.777479 | − | 1.34663i | −0.0286194 | − | 0.0495703i | ||||
\(739\) | 21.5938 | + | 37.4016i | 0.794341 | + | 1.37584i | 0.923257 | + | 0.384184i | \(0.125517\pi\) |
−0.128915 | + | 0.991656i | \(0.541149\pi\) | |||||||
\(740\) | −5.67994 | −0.208799 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 52.9982 | 1.94563 | ||||||||
\(743\) | 6.73825 | + | 11.6710i | 0.247202 | + | 0.428167i | 0.962749 | − | 0.270398i | \(-0.0871554\pi\) |
−0.715546 | + | 0.698566i | \(0.753822\pi\) | |||||||
\(744\) | −11.6332 | − | 20.1493i | −0.426493 | − | 0.738708i | ||||
\(745\) | 20.1042 | − | 34.8214i | 0.736560 | − | 1.27576i | ||||
\(746\) | −45.5260 | −1.66683 | ||||||||
\(747\) | 0.326396 | − | 0.565335i | 0.0119422 | − | 0.0206845i | ||||
\(748\) | −0.798053 | + | 1.38227i | −0.0291797 | + | 0.0505407i | ||||
\(749\) | −50.6728 | −1.85154 | ||||||||
\(750\) | −3.75451 | + | 6.50301i | −0.137095 | + | 0.237456i | ||||
\(751\) | −17.7947 | − | 30.8213i | −0.649338 | − | 1.12469i | −0.983281 | − | 0.182093i | \(-0.941713\pi\) |
0.333943 | − | 0.942593i | \(-0.391621\pi\) | |||||||
\(752\) | 18.6606 | + | 32.3211i | 0.680483 | + | 1.17863i | ||||
\(753\) | −2.44504 | −0.0891023 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −5.50902 | −0.200494 | ||||||||
\(756\) | −1.06853 | − | 1.85075i | −0.0388621 | − | 0.0673112i | ||||
\(757\) | 6.10537 | + | 10.5748i | 0.221903 | + | 0.384348i | 0.955386 | − | 0.295360i | \(-0.0954397\pi\) |
−0.733483 | + | 0.679708i | \(0.762106\pi\) | |||||||
\(758\) | −16.5755 | + | 28.7097i | −0.602050 | + | 1.04278i | ||||
\(759\) | −5.15691 | −0.187184 | ||||||||
\(760\) | −10.8617 | + | 18.8131i | −0.393997 | + | 0.682422i | ||||
\(761\) | 15.4535 | − | 26.7663i | 0.560190 | − | 0.970278i | −0.437289 | − | 0.899321i | \(-0.644061\pi\) |
0.997479 | − | 0.0709569i | \(-0.0226053\pi\) | |||||||
\(762\) | −11.8931 | −0.430840 | ||||||||
\(763\) | 2.57069 | − | 4.45256i | 0.0930651 | − | 0.161194i | ||||
\(764\) | 4.75786 | + | 8.24086i | 0.172134 | + | 0.298144i | ||||
\(765\) | −3.42543 | − | 5.93301i | −0.123847 | − | 0.214509i | ||||
\(766\) | 17.8944 | 0.646551 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | −10.1129 | −0.364918 | ||||||||
\(769\) | 5.99462 | + | 10.3830i | 0.216172 | + | 0.374420i | 0.953634 | − | 0.300968i | \(-0.0973096\pi\) |
−0.737463 | + | 0.675388i | \(0.763976\pi\) | |||||||
\(770\) | −12.3049 | − | 21.3127i | −0.443439 | − | 0.768058i | ||||
\(771\) | 7.06518 | − | 12.2372i | 0.254446 | − | 0.440714i | ||||
\(772\) | 3.75063 | 0.134988 | ||||||||
\(773\) | 21.9831 | − | 38.0758i | 0.790676 | − | 1.36949i | −0.134873 | − | 0.990863i | \(-0.543062\pi\) |
0.925549 | − | 0.378628i | \(-0.123604\pi\) | |||||||
\(774\) | −1.48643 | + | 2.57457i | −0.0534285 | + | 0.0925409i | ||||
\(775\) | −21.7549 | −0.781460 | ||||||||
\(776\) | −15.2925 | + | 26.4875i | −0.548970 | + | 0.950845i | ||||
\(777\) | −10.9363 | − | 18.9422i | −0.392338 | − | 0.679549i | ||||
\(778\) | 14.1271 | + |