Newspace parameters
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.c (of order \(3\), degree \(2\), not minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.324000000.2 |
Defining polynomial: |
\( x^{8} + 5x^{6} + 20x^{4} + 25x^{2} + 25 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 429.1 | ||
Root | \(-0.587785 + 1.01807i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.429 |
Dual form | 722.2.c.n.653.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 0.866025i | 0.353553 | − | 0.612372i | ||||
\(3\) | −1.26007 | + | 2.18251i | −0.727504 | + | 1.26007i | 0.230431 | + | 0.973089i | \(0.425986\pi\) |
−0.957935 | + | 0.286985i | \(0.907347\pi\) | |||||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 1.22982 | − | 2.13012i | 0.549994 | − | 0.952618i | −0.448280 | − | 0.893893i | \(-0.647963\pi\) |
0.998274 | − | 0.0587249i | \(-0.0187035\pi\) | |||||||
\(6\) | 1.26007 | + | 2.18251i | 0.514423 | + | 0.891007i | ||||
\(7\) | −2.79360 | −1.05588 | −0.527942 | − | 0.849281i | \(-0.677036\pi\) | ||||
−0.527942 | + | 0.849281i | \(0.677036\pi\) | |||||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −1.67557 | − | 2.90217i | −0.558524 | − | 0.967391i | ||||
\(10\) | −1.22982 | − | 2.13012i | −0.388905 | − | 0.673603i | ||||
\(11\) | −1.67853 | −0.506096 | −0.253048 | − | 0.967454i | \(-0.581433\pi\) | ||||
−0.253048 | + | 0.967454i | \(0.581433\pi\) | |||||||
\(12\) | 2.52015 | 0.727504 | ||||||||
\(13\) | 3.17229 | + | 5.49456i | 0.879834 | + | 1.52392i | 0.851522 | + | 0.524319i | \(0.175680\pi\) |
0.0283125 | + | 0.999599i | \(0.490987\pi\) | |||||||
\(14\) | −1.39680 | + | 2.41933i | −0.373311 | + | 0.646594i | ||||
\(15\) | 3.09934 | + | 5.36821i | 0.800246 | + | 1.38607i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −2.48459 | + | 4.30343i | −0.602601 | + | 1.04374i | 0.389825 | + | 0.920889i | \(0.372536\pi\) |
−0.992426 | + | 0.122846i | \(0.960798\pi\) | |||||||
\(18\) | −3.35114 | −0.789872 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | −2.45965 | −0.549994 | ||||||||
\(21\) | 3.52015 | − | 6.09707i | 0.768159 | − | 1.33049i | ||||
\(22\) | −0.839266 | + | 1.45365i | −0.178932 | + | 0.309919i | ||||
\(23\) | 1.24945 | + | 2.16411i | 0.260529 | + | 0.451249i | 0.966383 | − | 0.257109i | \(-0.0827698\pi\) |
−0.705854 | + | 0.708358i | \(0.749436\pi\) | |||||||
\(24\) | 1.26007 | − | 2.18251i | 0.257211 | − | 0.445503i | ||||
\(25\) | −0.524938 | − | 0.909219i | −0.104988 | − | 0.181844i | ||||
\(26\) | 6.34458 | 1.24427 | ||||||||
\(27\) | 0.884927 | 0.170304 | ||||||||
\(28\) | 1.39680 | + | 2.41933i | 0.263971 | + | 0.457211i | ||||
\(29\) | 2.96589 | + | 5.13708i | 0.550752 | + | 0.953931i | 0.998220 | + | 0.0596313i | \(0.0189925\pi\) |
−0.447468 | + | 0.894300i | \(0.647674\pi\) | |||||||
\(30\) | 6.19868 | 1.13172 | ||||||||
\(31\) | −7.28408 | −1.30826 | −0.654130 | − | 0.756382i | \(-0.726965\pi\) | ||||
−0.654130 | + | 0.756382i | \(0.726965\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 2.11507 | − | 3.66341i | 0.368187 | − | 0.637719i | ||||
\(34\) | 2.48459 | + | 4.30343i | 0.426103 | + | 0.738032i | ||||
\(35\) | −3.43564 | + | 5.95071i | −0.580730 | + | 1.00585i | ||||
\(36\) | −1.67557 | + | 2.90217i | −0.279262 | + | 0.483696i | ||||
\(37\) | −0.550972 | −0.0905792 | −0.0452896 | − | 0.998974i | \(-0.514421\pi\) | ||||
−0.0452896 | + | 0.998974i | \(0.514421\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −15.9893 | −2.56033 | ||||||||
\(40\) | −1.22982 | + | 2.13012i | −0.194452 | + | 0.336801i | ||||
\(41\) | −1.30371 | + | 2.25809i | −0.203605 | + | 0.352654i | −0.949687 | − | 0.313200i | \(-0.898599\pi\) |
0.746083 | + | 0.665853i | \(0.231932\pi\) | |||||||
\(42\) | −3.52015 | − | 6.09707i | −0.543170 | − | 0.940799i | ||||
\(43\) | −1.43564 | + | 2.48661i | −0.218934 | + | 0.379204i | −0.954482 | − | 0.298268i | \(-0.903591\pi\) |
0.735549 | + | 0.677472i | \(0.236924\pi\) | |||||||
\(44\) | 0.839266 | + | 1.45365i | 0.126524 | + | 0.219146i | ||||
\(45\) | −8.24263 | −1.22874 | ||||||||
\(46\) | 2.49890 | 0.368443 | ||||||||
\(47\) | −0.372797 | − | 0.645703i | −0.0543780 | − | 0.0941854i | 0.837555 | − | 0.546353i | \(-0.183984\pi\) |
−0.891933 | + | 0.452167i | \(0.850651\pi\) | |||||||
\(48\) | −1.26007 | − | 2.18251i | −0.181876 | − | 0.315018i | ||||
\(49\) | 0.804226 | 0.114889 | ||||||||
\(50\) | −1.04988 | −0.148475 | ||||||||
\(51\) | −6.26153 | − | 10.8453i | −0.876789 | − | 1.51864i | ||||
\(52\) | 3.17229 | − | 5.49456i | 0.439917 | − | 0.761959i | ||||
\(53\) | −0.735136 | − | 1.27329i | −0.100979 | − | 0.174900i | 0.811109 | − | 0.584894i | \(-0.198864\pi\) |
−0.912088 | + | 0.409994i | \(0.865531\pi\) | |||||||
\(54\) | 0.442463 | − | 0.766369i | 0.0602117 | − | 0.104290i | ||||
\(55\) | −2.06430 | + | 3.57547i | −0.278350 | + | 0.482117i | ||||
\(56\) | 2.79360 | 0.373311 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 5.93179 | 0.778882 | ||||||||
\(59\) | −2.48131 | + | 4.29775i | −0.323038 | + | 0.559519i | −0.981113 | − | 0.193433i | \(-0.938038\pi\) |
0.658075 | + | 0.752952i | \(0.271371\pi\) | |||||||
\(60\) | 3.09934 | − | 5.36821i | 0.400123 | − | 0.693033i | ||||
\(61\) | −4.66843 | − | 8.08596i | −0.597731 | − | 1.03530i | −0.993155 | − | 0.116802i | \(-0.962736\pi\) |
0.395424 | − | 0.918499i | \(-0.370598\pi\) | |||||||
\(62\) | −3.64204 | + | 6.30820i | −0.462539 | + | 0.801142i | ||||
\(63\) | 4.68088 | + | 8.10752i | 0.589736 | + | 1.02145i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 15.6054 | 1.93562 | ||||||||
\(66\) | −2.11507 | − | 3.66341i | −0.260347 | − | 0.450935i | ||||
\(67\) | 5.78022 | + | 10.0116i | 0.706166 | + | 1.22312i | 0.966269 | + | 0.257535i | \(0.0829103\pi\) |
−0.260103 | + | 0.965581i | \(0.583756\pi\) | |||||||
\(68\) | 4.96917 | 0.602601 | ||||||||
\(69\) | −6.29761 | −0.758143 | ||||||||
\(70\) | 3.43564 | + | 5.95071i | 0.410638 | + | 0.711246i | ||||
\(71\) | −3.49849 | + | 6.05956i | −0.415195 | + | 0.719138i | −0.995449 | − | 0.0952973i | \(-0.969620\pi\) |
0.580254 | + | 0.814435i | \(0.302953\pi\) | |||||||
\(72\) | 1.67557 | + | 2.90217i | 0.197468 | + | 0.342024i | ||||
\(73\) | 3.09310 | − | 5.35740i | 0.362020 | − | 0.627036i | −0.626274 | − | 0.779603i | \(-0.715421\pi\) |
0.988293 | + | 0.152567i | \(0.0487540\pi\) | |||||||
\(74\) | −0.275486 | + | 0.477156i | −0.0320246 | + | 0.0554682i | ||||
\(75\) | 2.64584 | 0.305515 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.68915 | 0.534379 | ||||||||
\(78\) | −7.99463 | + | 13.8471i | −0.905214 | + | 1.56788i | ||||
\(79\) | −2.95579 | + | 5.11958i | −0.332552 | + | 0.575998i | −0.983012 | − | 0.183543i | \(-0.941243\pi\) |
0.650459 | + | 0.759541i | \(0.274577\pi\) | |||||||
\(80\) | 1.22982 | + | 2.13012i | 0.137499 | + | 0.238155i | ||||
\(81\) | 3.91164 | − | 6.77516i | 0.434626 | − | 0.752795i | ||||
\(82\) | 1.30371 | + | 2.25809i | 0.143970 | + | 0.249364i | ||||
\(83\) | 15.1773 | 1.66593 | 0.832964 | − | 0.553328i | \(-0.186642\pi\) | ||||
0.832964 | + | 0.553328i | \(0.186642\pi\) | |||||||
\(84\) | −7.04029 | −0.768159 | ||||||||
\(85\) | 6.11121 | + | 10.5849i | 0.662854 | + | 1.14810i | ||||
\(86\) | 1.43564 | + | 2.48661i | 0.154809 | + | 0.268138i | ||||
\(87\) | −14.9490 | −1.60270 | ||||||||
\(88\) | 1.67853 | 0.178932 | ||||||||
\(89\) | 3.45251 | + | 5.97992i | 0.365965 | + | 0.633870i | 0.988931 | − | 0.148379i | \(-0.0474056\pi\) |
−0.622965 | + | 0.782249i | \(0.714072\pi\) | |||||||
\(90\) | −4.12132 | + | 7.13833i | −0.434425 | + | 0.752446i | ||||
\(91\) | −8.86212 | − | 15.3496i | −0.929002 | − | 1.60908i | ||||
\(92\) | 1.24945 | − | 2.16411i | 0.130264 | − | 0.225625i | ||||
\(93\) | 9.17848 | − | 15.8976i | 0.951764 | − | 1.64850i | ||||
\(94\) | −0.745593 | −0.0769021 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −2.52015 | −0.257211 | ||||||||
\(97\) | 7.19369 | − | 12.4598i | 0.730408 | − | 1.26510i | −0.226300 | − | 0.974058i | \(-0.572663\pi\) |
0.956709 | − | 0.291047i | \(-0.0940036\pi\) | |||||||
\(98\) | 0.402113 | − | 0.696480i | 0.0406196 | − | 0.0703551i | ||||
\(99\) | 2.81250 | + | 4.87139i | 0.282667 | + | 0.489593i | ||||
\(100\) | −0.524938 | + | 0.909219i | −0.0524938 | + | 0.0909219i | ||||
\(101\) | −5.64146 | − | 9.77130i | −0.561347 | − | 0.972281i | −0.997379 | − | 0.0723500i | \(-0.976950\pi\) |
0.436033 | − | 0.899931i | \(-0.356383\pi\) | |||||||
\(102\) | −12.5231 | −1.23997 | ||||||||
\(103\) | −14.8280 | −1.46104 | −0.730522 | − | 0.682889i | \(-0.760723\pi\) | ||||
−0.730522 | + | 0.682889i | \(0.760723\pi\) | |||||||
\(104\) | −3.17229 | − | 5.49456i | −0.311068 | − | 0.538786i | ||||
\(105\) | −8.65833 | − | 14.9967i | −0.844966 | − | 1.46352i | ||||
\(106\) | −1.47027 | −0.142805 | ||||||||
\(107\) | 2.82849 | 0.273440 | 0.136720 | − | 0.990610i | \(-0.456344\pi\) | ||||
0.136720 | + | 0.990610i | \(0.456344\pi\) | |||||||
\(108\) | −0.442463 | − | 0.766369i | −0.0425761 | − | 0.0737439i | ||||
\(109\) | 0.862695 | − | 1.49423i | 0.0826312 | − | 0.143121i | −0.821748 | − | 0.569851i | \(-0.807001\pi\) |
0.904379 | + | 0.426729i | \(0.140334\pi\) | |||||||
\(110\) | 2.06430 | + | 3.57547i | 0.196823 | + | 0.340908i | ||||
\(111\) | 0.694265 | − | 1.20250i | 0.0658967 | − | 0.114137i | ||||
\(112\) | 1.39680 | − | 2.41933i | 0.131985 | − | 0.228605i | ||||
\(113\) | 0.427785 | 0.0402426 | 0.0201213 | − | 0.999798i | \(-0.493595\pi\) | ||||
0.0201213 | + | 0.999798i | \(0.493595\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.14643 | 0.573157 | ||||||||
\(116\) | 2.96589 | − | 5.13708i | 0.275376 | − | 0.476966i | ||||
\(117\) | 10.6308 | − | 18.4131i | 0.982816 | − | 1.70229i | ||||
\(118\) | 2.48131 | + | 4.29775i | 0.228423 | + | 0.395640i | ||||
\(119\) | 6.94095 | − | 12.0221i | 0.636276 | − | 1.10206i | ||||
\(120\) | −3.09934 | − | 5.36821i | −0.282930 | − | 0.490049i | ||||
\(121\) | −8.18253 | −0.743867 | ||||||||
\(122\) | −9.33686 | −0.845320 | ||||||||
\(123\) | −3.28553 | − | 5.69071i | −0.296246 | − | 0.513114i | ||||
\(124\) | 3.64204 | + | 6.30820i | 0.327065 | + | 0.566493i | ||||
\(125\) | 9.71592 | 0.869018 | ||||||||
\(126\) | 9.36176 | 0.834012 | ||||||||
\(127\) | −0.568158 | − | 0.984079i | −0.0504159 | − | 0.0873229i | 0.839716 | − | 0.543026i | \(-0.182721\pi\) |
−0.890132 | + | 0.455703i | \(0.849388\pi\) | |||||||
\(128\) | 0.500000 | − | 0.866025i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | −3.61803 | − | 6.26662i | −0.318550 | − | 0.551745i | ||||
\(130\) | 7.80272 | − | 13.5147i | 0.684344 | − | 1.18532i | ||||
\(131\) | 8.92075 | − | 15.4512i | 0.779410 | − | 1.34998i | −0.152873 | − | 0.988246i | \(-0.548852\pi\) |
0.932282 | − | 0.361731i | \(-0.117814\pi\) | |||||||
\(132\) | −4.23015 | −0.368187 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 11.5604 | 0.998670 | ||||||||
\(135\) | 1.08831 | − | 1.88500i | 0.0936664 | − | 0.162235i | ||||
\(136\) | 2.48459 | − | 4.30343i | 0.213052 | − | 0.369016i | ||||
\(137\) | 7.95782 | + | 13.7833i | 0.679882 | + | 1.17759i | 0.975016 | + | 0.222135i | \(0.0713025\pi\) |
−0.295134 | + | 0.955456i | \(0.595364\pi\) | |||||||
\(138\) | −3.14880 | + | 5.45389i | −0.268044 | + | 0.464266i | ||||
\(139\) | −5.06008 | − | 8.76432i | −0.429191 | − | 0.743380i | 0.567611 | − | 0.823297i | \(-0.307868\pi\) |
−0.996802 | + | 0.0799168i | \(0.974535\pi\) | |||||||
\(140\) | 6.87129 | 0.580730 | ||||||||
\(141\) | 1.87901 | 0.158241 | ||||||||
\(142\) | 3.49849 | + | 6.05956i | 0.293587 | + | 0.508507i | ||||
\(143\) | −5.32479 | − | 9.22280i | −0.445281 | − | 0.771249i | ||||
\(144\) | 3.35114 | 0.279262 | ||||||||
\(145\) | 14.5901 | 1.21164 | ||||||||
\(146\) | −3.09310 | − | 5.35740i | −0.255986 | − | 0.443382i | ||||
\(147\) | −1.01338 | + | 1.75523i | −0.0835825 | + | 0.144769i | ||||
\(148\) | 0.275486 | + | 0.477156i | 0.0226448 | + | 0.0392220i | ||||
\(149\) | −4.69925 | + | 8.13935i | −0.384978 | + | 0.666801i | −0.991766 | − | 0.128062i | \(-0.959124\pi\) |
0.606788 | + | 0.794864i | \(0.292458\pi\) | |||||||
\(150\) | 1.32292 | − | 2.29137i | 0.108016 | − | 0.187089i | ||||
\(151\) | 10.2632 | 0.835210 | 0.417605 | − | 0.908629i | \(-0.362870\pi\) | ||||
0.417605 | + | 0.908629i | \(0.362870\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 16.6524 | 1.34627 | ||||||||
\(154\) | 2.34458 | − | 4.06093i | 0.188931 | − | 0.327239i | ||||
\(155\) | −8.95814 | + | 15.5160i | −0.719535 | + | 1.24627i | ||||
\(156\) | 7.99463 | + | 13.8471i | 0.640083 | + | 1.10866i | ||||
\(157\) | −1.48694 | + | 2.57545i | −0.118671 | + | 0.205543i | −0.919241 | − | 0.393695i | \(-0.871197\pi\) |
0.800571 | + | 0.599239i | \(0.204530\pi\) | |||||||
\(158\) | 2.95579 | + | 5.11958i | 0.235150 | + | 0.407292i | ||||
\(159\) | 3.70530 | 0.293849 | ||||||||
\(160\) | 2.45965 | 0.194452 | ||||||||
\(161\) | −3.49047 | − | 6.04568i | −0.275088 | − | 0.476466i | ||||
\(162\) | −3.91164 | − | 6.77516i | −0.307327 | − | 0.532307i | ||||
\(163\) | 5.59191 | 0.437992 | 0.218996 | − | 0.975726i | \(-0.429722\pi\) | ||||
0.218996 | + | 0.975726i | \(0.429722\pi\) | |||||||
\(164\) | 2.60741 | 0.203605 | ||||||||
\(165\) | −5.20234 | − | 9.01071i | −0.405001 | − | 0.701483i | ||||
\(166\) | 7.58866 | − | 13.1439i | 0.588994 | − | 1.02017i | ||||
\(167\) | −3.54180 | − | 6.13458i | −0.274073 | − | 0.474708i | 0.695828 | − | 0.718209i | \(-0.255038\pi\) |
−0.969901 | + | 0.243500i | \(0.921704\pi\) | |||||||
\(168\) | −3.52015 | + | 6.09707i | −0.271585 | + | 0.470399i | ||||
\(169\) | −13.6268 | + | 23.6024i | −1.04822 | + | 1.81557i | ||||
\(170\) | 12.2224 | 0.937418 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 2.87129 | 0.218934 | ||||||||
\(173\) | −11.5104 | + | 19.9366i | −0.875120 | + | 1.51575i | −0.0184843 | + | 0.999829i | \(0.505884\pi\) |
−0.856635 | + | 0.515922i | \(0.827449\pi\) | |||||||
\(174\) | −7.47449 | + | 12.9462i | −0.566639 | + | 0.981448i | ||||
\(175\) | 1.46647 | + | 2.54000i | 0.110855 | + | 0.192006i | ||||
\(176\) | 0.839266 | − | 1.45365i | 0.0632620 | − | 0.109573i | ||||
\(177\) | −6.25325 | − | 10.8310i | −0.470023 | − | 0.814104i | ||||
\(178\) | 6.90502 | 0.517553 | ||||||||
\(179\) | −8.21471 | −0.613996 | −0.306998 | − | 0.951710i | \(-0.599325\pi\) | ||||
−0.306998 | + | 0.951710i | \(0.599325\pi\) | |||||||
\(180\) | 4.12132 | + | 7.13833i | 0.307185 | + | 0.532060i | ||||
\(181\) | −6.49994 | − | 11.2582i | −0.483137 | − | 0.836818i | 0.516676 | − | 0.856181i | \(-0.327169\pi\) |
−0.999813 | + | 0.0193635i | \(0.993836\pi\) | |||||||
\(182\) | −17.7242 | −1.31381 | ||||||||
\(183\) | 23.5303 | 1.73941 | ||||||||
\(184\) | −1.24945 | − | 2.16411i | −0.0921108 | − | 0.159541i | ||||
\(185\) | −0.677599 | + | 1.17364i | −0.0498181 | + | 0.0862874i | ||||
\(186\) | −9.17848 | − | 15.8976i | −0.672998 | − | 1.16567i | ||||
\(187\) | 4.17046 | − | 7.22345i | 0.304974 | − | 0.528231i | ||||
\(188\) | −0.372797 | + | 0.645703i | −0.0271890 | + | 0.0470927i | ||||
\(189\) | −2.47214 | −0.179821 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.57479 | 0.475735 | 0.237868 | − | 0.971298i | \(-0.423552\pi\) | ||||
0.237868 | + | 0.971298i | \(0.423552\pi\) | |||||||
\(192\) | −1.26007 | + | 2.18251i | −0.0909380 | + | 0.157509i | ||||
\(193\) | 13.4413 | − | 23.2810i | 0.967527 | − | 1.67581i | 0.264859 | − | 0.964287i | \(-0.414675\pi\) |
0.702667 | − | 0.711518i | \(-0.251992\pi\) | |||||||
\(194\) | −7.19369 | − | 12.4598i | −0.516477 | − | 0.894564i | ||||
\(195\) | −19.6640 | + | 34.0590i | −1.40817 | + | 2.43902i | ||||
\(196\) | −0.402113 | − | 0.696480i | −0.0287224 | − | 0.0497486i | ||||
\(197\) | −9.84940 | −0.701741 | −0.350870 | − | 0.936424i | \(-0.614114\pi\) | ||||
−0.350870 | + | 0.936424i | \(0.614114\pi\) | |||||||
\(198\) | 5.62500 | 0.399751 | ||||||||
\(199\) | 10.2331 | + | 17.7242i | 0.725402 | + | 1.25643i | 0.958808 | + | 0.284053i | \(0.0916793\pi\) |
−0.233407 | + | 0.972379i | \(0.574987\pi\) | |||||||
\(200\) | 0.524938 | + | 0.909219i | 0.0371187 | + | 0.0642915i | ||||
\(201\) | −29.1340 | −2.05495 | ||||||||
\(202\) | −11.2829 | −0.793864 | ||||||||
\(203\) | −8.28553 | − | 14.3510i | −0.581530 | − | 1.00724i | ||||
\(204\) | −6.26153 | + | 10.8453i | −0.438394 | + | 0.759322i | ||||
\(205\) | 3.20666 | + | 5.55410i | 0.223963 | + | 0.387915i | ||||
\(206\) | −7.41399 | + | 12.8414i | −0.516557 | + | 0.894703i | ||||
\(207\) | 4.18709 | − | 7.25225i | 0.291023 | − | 0.504066i | ||||
\(208\) | −6.34458 | −0.439917 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −17.3167 | −1.19496 | ||||||||
\(211\) | 4.05815 | − | 7.02892i | 0.279374 | − | 0.483891i | −0.691855 | − | 0.722036i | \(-0.743206\pi\) |
0.971229 | + | 0.238146i | \(0.0765396\pi\) | |||||||
\(212\) | −0.735136 | + | 1.27329i | −0.0504893 | + | 0.0874501i | ||||
\(213\) | −8.81671 | − | 15.2710i | −0.604111 | − | 1.04635i | ||||
\(214\) | 1.41424 | − | 2.44954i | 0.0966757 | − | 0.167447i | ||||
\(215\) | 3.53118 | + | 6.11619i | 0.240825 | + | 0.417120i | ||||
\(216\) | −0.884927 | −0.0602117 | ||||||||
\(217\) | 20.3488 | 1.38137 | ||||||||
\(218\) | −0.862695 | − | 1.49423i | −0.0584291 | − | 0.101202i | ||||
\(219\) | 7.79506 | + | 13.5014i | 0.526741 | + | 0.912342i | ||||
\(220\) | 4.12860 | 0.278350 | ||||||||
\(221\) | −31.5273 | −2.12076 | ||||||||
\(222\) | −0.694265 | − | 1.20250i | −0.0465960 | − | 0.0807067i | ||||
\(223\) | 5.37701 | − | 9.31326i | 0.360071 | − | 0.623662i | −0.627901 | − | 0.778293i | \(-0.716086\pi\) |
0.987972 | + | 0.154631i | \(0.0494190\pi\) | |||||||
\(224\) | −1.39680 | − | 2.41933i | −0.0933278 | − | 0.161648i | ||||
\(225\) | −1.75914 | + | 3.04692i | −0.117276 | + | 0.203128i | ||||
\(226\) | 0.213892 | − | 0.370473i | 0.0142279 | − | 0.0246435i | ||||
\(227\) | −27.0936 | −1.79827 | −0.899133 | − | 0.437676i | \(-0.855802\pi\) | ||||
−0.899133 | + | 0.437676i | \(0.855802\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.46557 | 0.625503 | 0.312751 | − | 0.949835i | \(-0.398749\pi\) | ||||
0.312751 | + | 0.949835i | \(0.398749\pi\) | |||||||
\(230\) | 3.07321 | − | 5.32296i | 0.202642 | − | 0.350986i | ||||
\(231\) | −5.90868 | + | 10.2341i | −0.388762 | + | 0.673356i | ||||
\(232\) | −2.96589 | − | 5.13708i | −0.194720 | − | 0.337266i | ||||
\(233\) | −11.4311 | + | 19.7992i | −0.748873 | + | 1.29709i | 0.199490 | + | 0.979900i | \(0.436071\pi\) |
−0.948363 | + | 0.317186i | \(0.897262\pi\) | |||||||
\(234\) | −10.6308 | − | 18.4131i | −0.694956 | − | 1.20370i | ||||
\(235\) | −1.83390 | −0.119630 | ||||||||
\(236\) | 4.96261 | 0.323038 | ||||||||
\(237\) | −7.44903 | − | 12.9021i | −0.483866 | − | 0.838081i | ||||
\(238\) | −6.94095 | − | 12.0221i | −0.449915 | − | 0.779276i | ||||
\(239\) | 8.66611 | 0.560564 | 0.280282 | − | 0.959918i | \(-0.409572\pi\) | ||||
0.280282 | + | 0.959918i | \(0.409572\pi\) | |||||||
\(240\) | −6.19868 | −0.400123 | ||||||||
\(241\) | 2.82913 | + | 4.90020i | 0.182240 | + | 0.315649i | 0.942643 | − | 0.333802i | \(-0.108332\pi\) |
−0.760403 | + | 0.649452i | \(0.774998\pi\) | |||||||
\(242\) | −4.09127 | + | 7.08628i | −0.262997 | + | 0.455523i | ||||
\(243\) | 11.1853 | + | 19.3735i | 0.717537 | + | 1.24281i | ||||
\(244\) | −4.66843 | + | 8.08596i | −0.298866 | + | 0.517650i | ||||
\(245\) | 0.989057 | − | 1.71310i | 0.0631885 | − | 0.109446i | ||||
\(246\) | −6.57106 | −0.418956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 7.28408 | 0.462539 | ||||||||
\(249\) | −19.1245 | + | 33.1247i | −1.21197 | + | 2.09919i | ||||
\(250\) | 4.85796 | − | 8.41423i | 0.307244 | − | 0.532163i | ||||
\(251\) | 6.77762 | + | 11.7392i | 0.427799 | + | 0.740970i | 0.996677 | − | 0.0814518i | \(-0.0259557\pi\) |
−0.568878 | + | 0.822422i | \(0.692622\pi\) | |||||||
\(252\) | 4.68088 | − | 8.10752i | 0.294868 | − | 0.510726i | ||||
\(253\) | −2.09724 | − | 3.63253i | −0.131853 | − | 0.228375i | ||||
\(254\) | −1.13632 | −0.0712988 | ||||||||
\(255\) | −30.8023 | −1.92892 | ||||||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 5.01963 | + | 8.69425i | 0.313116 | + | 0.542332i | 0.979035 | − | 0.203691i | \(-0.0652939\pi\) |
−0.665919 | + | 0.746024i | \(0.731961\pi\) | |||||||
\(258\) | −7.23607 | −0.450498 | ||||||||
\(259\) | 1.53920 | 0.0956411 | ||||||||
\(260\) | −7.80272 | − | 13.5147i | −0.483904 | − | 0.838146i | ||||
\(261\) | 9.93912 | − | 17.2151i | 0.615216 | − | 1.06559i | ||||
\(262\) | −8.92075 | − | 15.4512i | −0.551126 | − | 0.954578i | ||||
\(263\) | 9.41309 | − | 16.3040i | 0.580436 | − | 1.00534i | −0.414992 | − | 0.909825i | \(-0.636215\pi\) |
0.995428 | − | 0.0955194i | \(-0.0304512\pi\) | |||||||
\(264\) | −2.11507 | + | 3.66341i | −0.130174 | + | 0.225468i | ||||
\(265\) | −3.61635 | −0.222151 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −17.4017 | −1.06496 | ||||||||
\(268\) | 5.78022 | − | 10.0116i | 0.353083 | − | 0.611558i | ||||
\(269\) | −8.19134 | + | 14.1878i | −0.499435 | + | 0.865046i | −1.00000 | 0.000652557i | \(-0.999792\pi\) | |
0.500565 | + | 0.865699i | \(0.333126\pi\) | |||||||
\(270\) | −1.08831 | − | 1.88500i | −0.0662321 | − | 0.114717i | ||||
\(271\) | 1.38342 | − | 2.39615i | 0.0840367 | − | 0.145556i | −0.820944 | − | 0.571009i | \(-0.806552\pi\) |
0.904980 | + | 0.425453i | \(0.139885\pi\) | |||||||
\(272\) | −2.48459 | − | 4.30343i | −0.150650 | − | 0.260934i | ||||
\(273\) | 44.6677 | 2.70341 | ||||||||
\(274\) | 15.9156 | 0.961499 | ||||||||
\(275\) | 0.881125 | + | 1.52615i | 0.0531338 | + | 0.0920305i | ||||
\(276\) | 3.14880 | + | 5.45389i | 0.189536 | + | 0.328285i | ||||
\(277\) | 24.5321 | 1.47399 | 0.736996 | − | 0.675897i | \(-0.236244\pi\) | ||||
0.736996 | + | 0.675897i | \(0.236244\pi\) | |||||||
\(278\) | −10.1202 | −0.606967 | ||||||||
\(279\) | 12.2050 | + | 21.1397i | 0.730694 | + | 1.26560i | ||||
\(280\) | 3.43564 | − | 5.95071i | 0.205319 | − | 0.355623i | ||||
\(281\) | 5.08518 | + | 8.80779i | 0.303356 | + | 0.525429i | 0.976894 | − | 0.213724i | \(-0.0685594\pi\) |
−0.673538 | + | 0.739153i | \(0.735226\pi\) | |||||||
\(282\) | 0.939503 | − | 1.62727i | 0.0559466 | − | 0.0969023i | ||||
\(283\) | −13.8339 | + | 23.9610i | −0.822340 | + | 1.42433i | 0.0815955 | + | 0.996666i | \(0.473998\pi\) |
−0.903935 | + | 0.427669i | \(0.859335\pi\) | |||||||
\(284\) | 6.99698 | 0.415195 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.6496 | −0.629722 | ||||||||
\(287\) | 3.64204 | − | 6.30820i | 0.214983 | − | 0.372361i | ||||
\(288\) | 1.67557 | − | 2.90217i | 0.0987339 | − | 0.171012i | ||||
\(289\) | −3.84635 | − | 6.66207i | −0.226256 | − | 0.391887i | ||||
\(290\) | 7.29506 | − | 12.6354i | 0.428380 | − | 0.741977i | ||||
\(291\) | 18.1292 | + | 31.4006i | 1.06275 | + | 1.84074i | ||||
\(292\) | −6.18619 | −0.362020 | ||||||||
\(293\) | −23.8386 | −1.39267 | −0.696333 | − | 0.717719i | \(-0.745186\pi\) | ||||
−0.696333 | + | 0.717719i | \(0.745186\pi\) | |||||||
\(294\) | 1.01338 | + | 1.75523i | 0.0591018 | + | 0.102367i | ||||
\(295\) | 6.10314 | + | 10.5710i | 0.355339 | + | 0.615465i | ||||
\(296\) | 0.550972 | 0.0320246 | ||||||||
\(297\) | −1.48538 | −0.0861904 | ||||||||
\(298\) | 4.69925 | + | 8.13935i | 0.272221 | + | 0.471500i | ||||
\(299\) | −7.92724 | + | 13.7304i | −0.458444 | + | 0.794049i | ||||
\(300\) | −1.32292 | − | 2.29137i | −0.0763789 | − | 0.132292i | ||||
\(301\) | 4.01062 | − | 6.94660i | 0.231168 | − | 0.400395i | ||||
\(302\) | 5.13162 | − | 8.88822i | 0.295291 | − | 0.511460i | ||||
\(303\) | 28.4346 | 1.63353 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −22.9654 | −1.31500 | ||||||||
\(306\) | 8.32620 | − | 14.4214i | 0.475977 | − | 0.824417i | ||||
\(307\) | 12.9942 | − | 22.5066i | 0.741619 | − | 1.28452i | −0.210138 | − | 0.977672i | \(-0.567391\pi\) |
0.951758 | − | 0.306851i | \(-0.0992752\pi\) | |||||||
\(308\) | −2.34458 | − | 4.06093i | −0.133595 | − | 0.231393i | ||||
\(309\) | 18.6843 | − | 32.3622i | 1.06291 | − | 1.84102i | ||||
\(310\) | 8.95814 | + | 15.5160i | 0.508788 | + | 0.881247i | ||||
\(311\) | −23.1043 | −1.31013 | −0.655063 | − | 0.755574i | \(-0.727358\pi\) | ||||
−0.655063 | + | 0.755574i | \(0.727358\pi\) | |||||||
\(312\) | 15.9893 | 0.905214 | ||||||||
\(313\) | −6.13235 | − | 10.6215i | −0.346621 | − | 0.600365i | 0.639026 | − | 0.769185i | \(-0.279338\pi\) |
−0.985647 | + | 0.168820i | \(0.946004\pi\) | |||||||
\(314\) | 1.48694 | + | 2.57545i | 0.0839127 | + | 0.145341i | ||||
\(315\) | 23.0267 | 1.29741 | ||||||||
\(316\) | 5.91158 | 0.332552 | ||||||||
\(317\) | −0.136152 | − | 0.235823i | −0.00764708 | − | 0.0132451i | 0.862177 | − | 0.506608i | \(-0.169101\pi\) |
−0.869824 | + | 0.493363i | \(0.835767\pi\) | |||||||
\(318\) | 1.85265 | − | 3.20888i | 0.103891 | − | 0.179945i | ||||
\(319\) | −4.97834 | − | 8.62275i | −0.278734 | − | 0.482781i | ||||
\(320\) | 1.22982 | − | 2.13012i | 0.0687493 | − | 0.119077i | ||||
\(321\) | −3.56410 | + | 6.17320i | −0.198929 | + | 0.344555i | ||||
\(322\) | −6.98095 | −0.389033 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −7.82328 | −0.434626 | ||||||||
\(325\) | 3.33051 | − | 5.76861i | 0.184743 | − | 0.319985i | ||||
\(326\) | 2.79595 | − | 4.84273i | 0.154854 | − | 0.268214i | ||||
\(327\) | 2.17412 | + | 3.76568i | 0.120229 | + | 0.208243i | ||||
\(328\) | 1.30371 | − | 2.25809i | 0.0719851 | − | 0.124682i | ||||
\(329\) | 1.04145 | + | 1.80384i | 0.0574168 | + | 0.0994488i | ||||
\(330\) | −10.4047 | −0.572759 | ||||||||
\(331\) | 19.9930 | 1.09891 | 0.549457 | − | 0.835522i | \(-0.314835\pi\) | ||||
0.549457 | + | 0.835522i | \(0.314835\pi\) | |||||||
\(332\) | −7.58866 | − | 13.1439i | −0.416482 | − | 0.721368i | ||||
\(333\) | 0.923192 | + | 1.59902i | 0.0505906 | + | 0.0876256i | ||||
\(334\) | −7.08361 | −0.387598 | ||||||||
\(335\) | 28.4346 | 1.55355 | ||||||||
\(336\) | 3.52015 | + | 6.09707i | 0.192040 | + | 0.332623i | ||||
\(337\) | −8.64121 | + | 14.9670i | −0.470717 | + | 0.815305i | −0.999439 | − | 0.0334897i | \(-0.989338\pi\) |
0.528722 | + | 0.848795i | \(0.322671\pi\) | |||||||
\(338\) | 13.6268 | + | 23.6024i | 0.741202 | + | 1.28380i | ||||
\(339\) | −0.539040 | + | 0.933645i | −0.0292767 | + | 0.0507086i | ||||
\(340\) | 6.11121 | − | 10.5849i | 0.331427 | − | 0.574049i | ||||
\(341\) | 12.2266 | 0.662105 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.3085 | 0.934573 | ||||||||
\(344\) | 1.43564 | − | 2.48661i | 0.0774047 | − | 0.134069i | ||||
\(345\) | −7.74495 | + | 13.4146i | −0.416974 | + | 0.722220i | ||||
\(346\) | 11.5104 | + | 19.9366i | 0.618803 | + | 1.07180i | ||||
\(347\) | 9.27279 | − | 16.0609i | 0.497789 | − | 0.862197i | −0.502207 | − | 0.864747i | \(-0.667479\pi\) |
0.999997 | + | 0.00255065i | \(0.000811898\pi\) | |||||||
\(348\) | 7.47449 | + | 12.9462i | 0.400674 | + | 0.693989i | ||||
\(349\) | −20.1210 | −1.07705 | −0.538527 | − | 0.842609i | \(-0.681019\pi\) | ||||
−0.538527 | + | 0.842609i | \(0.681019\pi\) | |||||||
\(350\) | 2.93294 | 0.156772 | ||||||||
\(351\) | 2.80724 | + | 4.86229i | 0.149840 | + | 0.259530i | ||||
\(352\) | −0.839266 | − | 1.45365i | −0.0447330 | − | 0.0774799i | ||||
\(353\) | 24.0557 | 1.28035 | 0.640177 | − | 0.768227i | \(-0.278861\pi\) | ||||
0.640177 | + | 0.768227i | \(0.278861\pi\) | |||||||
\(354\) | −12.5065 | −0.664713 | ||||||||
\(355\) | 8.60506 | + | 14.9044i | 0.456709 | + | 0.791044i | ||||
\(356\) | 3.45251 | − | 5.97992i | 0.182983 | − | 0.316935i | ||||
\(357\) | 17.4922 | + | 30.2974i | 0.925787 | + | 1.60351i | ||||
\(358\) | −4.10736 | + | 7.11415i | −0.217081 | + | 0.375994i | ||||
\(359\) | 5.42673 | − | 9.39937i | 0.286412 | − | 0.496080i | −0.686539 | − | 0.727093i | \(-0.740871\pi\) |
0.972951 | + | 0.231013i | \(0.0742041\pi\) | |||||||
\(360\) | 8.24263 | 0.434425 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −12.9999 | −0.683259 | ||||||||
\(363\) | 10.3106 | − | 17.8585i | 0.541166 | − | 0.937327i | ||||
\(364\) | −8.86212 | + | 15.3496i | −0.464501 | + | 0.804540i | ||||
\(365\) | −7.60793 | − | 13.1773i | −0.398217 | − | 0.689733i | ||||
\(366\) | 11.7651 | − | 20.3778i | 0.614973 | − | 1.06516i | ||||
\(367\) | 16.3060 | + | 28.2429i | 0.851168 | + | 1.47427i | 0.880155 | + | 0.474687i | \(0.157439\pi\) |
−0.0289868 | + | 0.999580i | \(0.509228\pi\) | |||||||
\(368\) | −2.49890 | −0.130264 | ||||||||
\(369\) | 8.73781 | 0.454872 | ||||||||
\(370\) | 0.677599 | + | 1.17364i | 0.0352267 | + | 0.0610144i | ||||
\(371\) | 2.05368 | + | 3.55707i | 0.106622 | + | 0.184674i | ||||
\(372\) | −18.3570 | −0.951764 | ||||||||
\(373\) | 5.30198 | 0.274526 | 0.137263 | − | 0.990535i | \(-0.456169\pi\) | ||||
0.137263 | + | 0.990535i | \(0.456169\pi\) | |||||||
\(374\) | −4.17046 | − | 7.22345i | −0.215649 | − | 0.373515i | ||||
\(375\) | −12.2428 | + | 21.2051i | −0.632214 | + | 1.09503i | ||||
\(376\) | 0.372797 | + | 0.645703i | 0.0192255 | + | 0.0332996i | ||||
\(377\) | −18.8173 | + | 32.5926i | −0.969142 | + | 1.67860i | ||||
\(378\) | −1.23607 | + | 2.14093i | −0.0635765 | + | 0.110118i | ||||
\(379\) | −24.6656 | −1.26699 | −0.633494 | − | 0.773748i | \(-0.718380\pi\) | ||||
−0.633494 | + | 0.773748i | \(0.718380\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 2.86368 | 0.146711 | ||||||||
\(382\) | 3.28740 | − | 5.69394i | 0.168198 | − | 0.291327i | ||||
\(383\) | 1.82208 | − | 3.15593i | 0.0931039 | − | 0.161261i | −0.815712 | − | 0.578459i | \(-0.803654\pi\) |
0.908816 | + | 0.417198i | \(0.136988\pi\) | |||||||
\(384\) | 1.26007 | + | 2.18251i | 0.0643029 | + | 0.111376i | ||||
\(385\) | 5.76684 | − | 9.98845i | 0.293905 | − | 0.509059i | ||||
\(386\) | −13.4413 | − | 23.2810i | −0.684145 | − | 1.18497i | ||||
\(387\) | 9.62209 | 0.489118 | ||||||||
\(388\) | −14.3874 | −0.730408 | ||||||||
\(389\) | −1.39677 | − | 2.41927i | −0.0708189 | − | 0.122662i | 0.828442 | − | 0.560076i | \(-0.189228\pi\) |
−0.899260 | + | 0.437414i | \(0.855895\pi\) | |||||||
\(390\) | 19.6640 | + | 34.0590i | 0.995725 | + | 1.72465i | ||||
\(391\) | −12.4175 | −0.627979 | ||||||||
\(392\) | −0.804226 | −0.0406196 | ||||||||
\(393\) | 22.4816 | + | 38.9393i | 1.13405 | + | 1.96423i | ||||
\(394\) | −4.92470 | + | 8.52983i | −0.248103 | + | 0.429727i | ||||
\(395\) | 7.27021 | + | 12.5924i | 0.365804 | + | 0.633591i | ||||
\(396\) | 2.81250 | − | 4.87139i | 0.141333 | − | 0.244797i | ||||
\(397\) | 19.7551 | − | 34.2168i | 0.991478 | − | 1.71729i | 0.382919 | − | 0.923782i | \(-0.374919\pi\) |
0.608559 | − | 0.793509i | \(-0.291748\pi\) | |||||||
\(398\) | 20.4661 | 1.02587 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.04988 | 0.0524938 | ||||||||
\(401\) | −9.31073 | + | 16.1267i | −0.464956 | + | 0.805327i | −0.999200 | − | 0.0400033i | \(-0.987263\pi\) |
0.534244 | + | 0.845331i | \(0.320596\pi\) | |||||||
\(402\) | −14.5670 | + | 25.2308i | −0.726536 | + | 1.25840i | ||||
\(403\) | −23.1072 | − | 40.0228i | −1.15105 | − | 1.99368i | ||||
\(404\) | −5.64146 | + | 9.77130i | −0.280673 | + | 0.486140i | ||||
\(405\) | −9.62126 | − | 16.6645i | −0.478084 | − | 0.828066i | ||||
\(406\) | −16.5711 | −0.822408 | ||||||||
\(407\) | 0.924824 | 0.0458418 | ||||||||
\(408\) | 6.26153 | + | 10.8453i | 0.309992 | + | 0.536921i | ||||
\(409\) | −8.57164 | − | 14.8465i | −0.423840 | − | 0.734113i | 0.572471 | − | 0.819925i | \(-0.305985\pi\) |
−0.996311 | + | 0.0858120i | \(0.972652\pi\) | |||||||
\(410\) | 6.41332 | 0.316731 | ||||||||
\(411\) | −40.1098 | −1.97847 | ||||||||
\(412\) | 7.41399 | + | 12.8414i | 0.365261 | + | 0.632651i | ||||
\(413\) | 6.93179 | − | 12.0062i | 0.341091 | − | 0.590787i | ||||
\(414\) | −4.18709 | − | 7.25225i | −0.205784 | − | 0.356429i | ||||
\(415\) | 18.6654 | − | 32.3295i | 0.916251 | − | 1.58699i | ||||
\(416\) | −3.17229 | + | 5.49456i | −0.155534 | + | 0.269393i | ||||
\(417\) | 25.5043 | 1.24895 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −18.5042 | −0.903989 | −0.451995 | − | 0.892021i | \(-0.649287\pi\) | ||||
−0.451995 | + | 0.892021i | \(0.649287\pi\) | |||||||
\(420\) | −8.65833 | + | 14.9967i | −0.422483 | + | 0.731762i | ||||
\(421\) | −8.09980 | + | 14.0293i | −0.394760 | + | 0.683745i | −0.993071 | − | 0.117520i | \(-0.962506\pi\) |
0.598310 | + | 0.801264i | \(0.295839\pi\) | |||||||
\(422\) | −4.05815 | − | 7.02892i | −0.197548 | − | 0.342162i | ||||
\(423\) | −1.24929 | + | 2.16384i | −0.0607428 | + | 0.105210i | ||||
\(424\) | 0.735136 | + | 1.27329i | 0.0357013 | + | 0.0618365i | ||||
\(425\) | 5.21702 | 0.253062 | ||||||||
\(426\) | −17.6334 | −0.854342 | ||||||||
\(427\) | 13.0417 | + | 22.5890i | 0.631134 | + | 1.09316i | ||||
\(428\) | −1.41424 | − | 2.44954i | −0.0683600 | − | 0.118403i | ||||
\(429\) | 26.8385 | 1.29577 | ||||||||
\(430\) | 7.06236 | 0.340577 | ||||||||
\(431\) | 6.34983 | + | 10.9982i | 0.305861 | + | 0.529766i | 0.977453 | − | 0.211155i | \(-0.0677225\pi\) |
−0.671592 | + | 0.740921i | \(0.734389\pi\) | |||||||
\(432\) | −0.442463 | + | 0.766369i | −0.0212880 | + | 0.0368720i | ||||
\(433\) | 7.11751 | + | 12.3279i | 0.342046 | + | 0.592441i | 0.984813 | − | 0.173621i | \(-0.0555468\pi\) |
−0.642767 | + | 0.766062i | \(0.722213\pi\) | |||||||
\(434\) | 10.1744 | − | 17.6226i | 0.488388 | − | 0.845912i | ||||
\(435\) | −18.3846 | + | 31.8431i | −0.881475 | + | 1.52676i | ||||
\(436\) | −1.72539 | −0.0826312 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 15.5901 | 0.744924 | ||||||||
\(439\) | 14.0950 | − | 24.4133i | 0.672718 | − | 1.16518i | −0.304412 | − | 0.952540i | \(-0.598460\pi\) |
0.977130 | − | 0.212642i | \(-0.0682067\pi\) | |||||||
\(440\) | 2.06430 | − | 3.57547i | 0.0984116 | − | 0.170454i | ||||
\(441\) | −1.34754 | − | 2.33400i | −0.0641685 | − | 0.111143i | ||||
\(442\) | −15.7637 | + | 27.3035i | −0.749801 | + | 1.29869i | ||||
\(443\) | 16.4972 | + | 28.5740i | 0.783805 | + | 1.35759i | 0.929711 | + | 0.368291i | \(0.120057\pi\) |
−0.145906 | + | 0.989298i | \(0.546610\pi\) | |||||||
\(444\) | −1.38853 | −0.0658967 | ||||||||
\(445\) | 16.9839 | 0.805115 | ||||||||
\(446\) | −5.37701 | − | 9.31326i | −0.254609 | − | 0.440995i | ||||
\(447\) | −11.8428 | − | 20.5124i | −0.560146 | − | 0.970201i | ||||
\(448\) | −2.79360 | −0.131985 | ||||||||
\(449\) | 17.1975 | 0.811601 | 0.405801 | − | 0.913962i | \(-0.366993\pi\) | ||||
0.405801 | + | 0.913962i | \(0.366993\pi\) | |||||||
\(450\) | 1.75914 | + | 3.04692i | 0.0829267 | + | 0.143633i | ||||
\(451\) | 2.18831 | − | 3.79027i | 0.103044 | − | 0.178477i | ||||
\(452\) | −0.213892 | − | 0.370473i | −0.0100607 | − | 0.0174256i | ||||
\(453\) | −12.9324 | + | 22.3996i | −0.607618 | + | 1.05243i | ||||
\(454\) | −13.5468 | + | 23.4637i | −0.635783 | + | 1.10121i | ||||
\(455\) | −43.5954 | −2.04378 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −31.1517 | −1.45722 | −0.728608 | − | 0.684931i | \(-0.759832\pi\) | ||||
−0.728608 | + | 0.684931i | \(0.759832\pi\) | |||||||
\(458\) | 4.73279 | − | 8.19743i | 0.221149 | − | 0.383041i | ||||
\(459\) | −2.19868 | + | 3.80822i | −0.102626 | + | 0.177753i | ||||
\(460\) | −3.07321 | − | 5.32296i | −0.143289 | − | 0.248184i | ||||
\(461\) | −7.77050 | + | 13.4589i | −0.361908 | + | 0.626843i | −0.988275 | − | 0.152685i | \(-0.951208\pi\) |
0.626367 | + | 0.779528i | \(0.284541\pi\) | |||||||
\(462\) | 5.90868 | + | 10.2341i | 0.274897 | + | 0.476135i | ||||
\(463\) | 20.6648 | 0.960374 | 0.480187 | − | 0.877166i | \(-0.340569\pi\) | ||||
0.480187 | + | 0.877166i | \(0.340569\pi\) | |||||||
\(464\) | −5.93179 | −0.275376 | ||||||||
\(465\) | −22.5758 | − | 39.1025i | −1.04693 | − | 1.81333i | ||||
\(466\) | 11.4311 | + | 19.7992i | 0.529533 | + | 0.917178i | ||||
\(467\) | −28.4830 | −1.31803 | −0.659017 | − | 0.752128i | \(-0.729028\pi\) | ||||
−0.659017 | + | 0.752128i | \(0.729028\pi\) | |||||||
\(468\) | −21.2616 | −0.982816 | ||||||||
\(469\) | −16.1477 | − | 27.9686i | −0.745629 | − | 1.29147i | ||||
\(470\) | −0.916949 | + | 1.58820i | −0.0422957 | + | 0.0732583i | ||||
\(471\) | −3.74730 | − | 6.49052i | −0.172667 | − | 0.299067i | ||||
\(472\) | 2.48131 | − | 4.29775i | 0.114211 | − | 0.197820i | ||||
\(473\) | 2.40977 | − | 4.17385i | 0.110802 | − | 0.191914i | ||||
\(474\) | −14.8981 | −0.684290 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −13.8819 | −0.636276 | ||||||||
\(477\) | −2.46354 | + | 4.26698i | −0.112798 | + | 0.195372i | ||||
\(478\) | 4.33306 | − | 7.50508i | 0.198189 | − | 0.343274i | ||||
\(479\) | 5.23632 | + | 9.06958i | 0.239254 | + | 0.414400i | 0.960500 | − | 0.278279i | \(-0.0897639\pi\) |
−0.721247 | + | 0.692678i | \(0.756431\pi\) | |||||||
\(480\) | −3.09934 | + | 5.36821i | −0.141465 | + | 0.245024i | ||||
\(481\) | −1.74784 | − | 3.02735i | −0.0796947 | − | 0.138035i | ||||
\(482\) | 5.65826 | 0.257727 | ||||||||
\(483\) | 17.5930 | 0.800510 | ||||||||
\(484\) | 4.09127 | + | 7.08628i | 0.185967 | + | 0.322104i | ||||
\(485\) | −17.6940 | − | 30.6468i | −0.803441 | − | 1.39160i | ||||
\(486\) | 22.3706 | 1.01475 | ||||||||
\(487\) | −2.29894 | −0.104175 | −0.0520875 | − | 0.998643i | \(-0.516587\pi\) | ||||
−0.0520875 | + | 0.998643i | \(0.516587\pi\) | |||||||
\(488\) | 4.66843 | + | 8.08596i | 0.211330 | + | 0.366034i | ||||
\(489\) | −7.04622 | + | 12.2044i | −0.318641 | + | 0.551902i | ||||
\(490\) | −0.989057 | − | 1.71310i | −0.0446810 | − | 0.0773898i | ||||
\(491\) | −6.08059 | + | 10.5319i | −0.274413 | + | 0.475297i | −0.969987 | − | 0.243157i | \(-0.921817\pi\) |
0.695574 | + | 0.718455i | \(0.255150\pi\) | |||||||
\(492\) | −3.28553 | + | 5.69071i | −0.148123 | + | 0.256557i | ||||
\(493\) | −29.4761 | −1.32754 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 13.8355 | 0.621860 | ||||||||
\(496\) | 3.64204 | − | 6.30820i | 0.163532 | − | 0.283246i | ||||
\(497\) | 9.77340 | − | 16.9280i | 0.438397 | − | 0.759326i | ||||
\(498\) | 19.1245 | + | 33.1247i | 0.856991 | + | 1.48435i | ||||
\(499\) | −7.56742 | + | 13.1072i | −0.338764 | + | 0.586757i | −0.984201 | − | 0.177057i | \(-0.943342\pi\) |
0.645436 | + | 0.763814i | \(0.276676\pi\) | |||||||
\(500\) | −4.85796 | − | 8.41423i | −0.217255 | − | 0.376296i | ||||
\(501\) | 17.8517 | 0.797556 | ||||||||
\(502\) | 13.5552 | 0.605000 | ||||||||
\(503\) | 0.286841 | + | 0.496824i | 0.0127896 | + | 0.0221523i | 0.872349 | − | 0.488883i | \(-0.162595\pi\) |
−0.859560 | + | 0.511035i | \(0.829262\pi\) | |||||||
\(504\) | −4.68088 | − | 8.10752i | −0.208503 | − | 0.361138i | ||||
\(505\) | −27.7520 | −1.23495 | ||||||||
\(506\) | −4.19449 | −0.186468 | ||||||||
\(507\) | −34.3416 | − | 59.4814i | −1.52516 | − | 2.64166i | ||||
\(508\) | −0.568158 | + | 0.984079i | −0.0252079 | + | 0.0436614i | ||||
\(509\) | −13.1081 | − | 22.7039i | −0.581008 | − | 1.00633i | −0.995360 | − | 0.0962184i | \(-0.969325\pi\) |
0.414353 | − | 0.910116i | \(-0.364008\pi\) | |||||||
\(510\) | −15.4012 | + | 26.6756i | −0.681975 | + | 1.18121i | ||||
\(511\) | −8.64089 | + | 14.9665i | −0.382250 | + | 0.662077i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.0393 | 0.442813 | ||||||||
\(515\) | −18.2358 | + | 31.5854i | −0.803566 | + | 1.39182i | ||||
\(516\) | −3.61803 | + | 6.26662i | −0.159275 | + | 0.275873i | ||||
\(517\) | 0.625751 | + | 1.08383i | 0.0275205 | + | 0.0476669i | ||||
\(518\) | 0.769599 | − | 1.33298i | 0.0338142 | − | 0.0585680i | ||||
\(519\) | −29.0079 | − | 50.2432i | −1.27331 | − | 2.20543i | ||||
\(520\) | −15.6054 | −0.684344 | ||||||||
\(521\) | 12.9637 | 0.567948 | 0.283974 | − | 0.958832i | \(-0.408347\pi\) | ||||
0.283974 | + | 0.958832i | \(0.408347\pi\) | |||||||
\(522\) | −9.93912 | − | 17.2151i | −0.435024 | − | 0.753483i | ||||
\(523\) | 8.88963 | + | 15.3973i | 0.388716 | + | 0.673276i | 0.992277 | − | 0.124041i | \(-0.0395853\pi\) |
−0.603561 | + | 0.797317i | \(0.706252\pi\) | |||||||
\(524\) | −17.8415 | −0.779410 | ||||||||
\(525\) | −7.39144 | −0.322589 | ||||||||
\(526\) | −9.41309 | − | 16.3040i | −0.410430 | − | 0.710886i | ||||
\(527\) | 18.0979 | − | 31.3465i | 0.788358 | − | 1.36548i | ||||
\(528\) | 2.11507 | + | 3.66341i | 0.0920467 | + | 0.159430i | ||||
\(529\) | 8.37774 | − | 14.5107i | 0.364250 | − | 0.630899i | ||||
\(530\) | −1.80818 | + | 3.13185i | −0.0785421 | + | 0.136039i | ||||
\(531\) | 16.6304 | 0.721698 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −16.5429 | −0.716554 | ||||||||
\(534\) | −8.70083 | + | 15.0703i | −0.376522 | + | 0.652155i | ||||
\(535\) | 3.47854 | − | 6.02501i | 0.150391 | − | 0.260484i | ||||
\(536\) | −5.78022 | − | 10.0116i | −0.249668 | − | 0.432437i | ||||
\(537\) | 10.3511 | − | 17.9287i | 0.446685 | − | 0.773681i | ||||
\(538\) | 8.19134 | + | 14.1878i | 0.353154 | + | 0.611680i | ||||
\(539\) | −1.34992 | −0.0581451 | ||||||||
\(540\) | −2.17661 | −0.0936664 | ||||||||
\(541\) | 2.67209 | + | 4.62820i | 0.114882 | + | 0.198982i | 0.917733 | − | 0.397199i | \(-0.130018\pi\) |
−0.802851 | + | 0.596180i | \(0.796684\pi\) | |||||||
\(542\) | −1.38342 | − | 2.39615i | −0.0594229 | − | 0.102923i | ||||
\(543\) | 32.7616 | 1.40594 | ||||||||
\(544\) | −4.96917 | −0.213052 | ||||||||
\(545\) | −2.12193 | − | 3.67529i | −0.0908934 | − | 0.157432i | ||||
\(546\) | 22.3338 | − | 38.6833i | 0.955800 | − | 1.65549i | ||||
\(547\) | 2.55056 | + | 4.41770i | 0.109054 | + | 0.188887i | 0.915387 | − | 0.402574i | \(-0.131885\pi\) |
−0.806333 | + | 0.591461i | \(0.798551\pi\) | |||||||
\(548\) | 7.95782 | − | 13.7833i | 0.339941 | − | 0.588795i | ||||
\(549\) | −15.6446 | + | 27.0972i | −0.667694 | + | 1.15648i | ||||
\(550\) | 1.76225 | 0.0751426 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 6.29761 | 0.268044 | ||||||||
\(553\) | 8.25731 | − | 14.3021i | 0.351137 | − | 0.608186i | ||||
\(554\) | 12.2661 | − | 21.2454i | 0.521135 | − | 0.902632i | ||||
\(555\) | −1.70765 | − | 2.95774i | −0.0724857 | − | 0.125549i | ||||
\(556\) | −5.06008 | + | 8.76432i | −0.214595 | + | 0.371690i | ||||
\(557\) | 5.36176 | + | 9.28685i | 0.227185 | + | 0.393496i | 0.956973 | − | 0.290178i | \(-0.0937144\pi\) |
−0.729788 | + | 0.683674i | \(0.760381\pi\) | |||||||
\(558\) | 24.4100 | 1.03336 | ||||||||
\(559\) | −18.2171 | −0.770502 | ||||||||
\(560\) | −3.43564 | − | 5.95071i | −0.145182 | − | 0.251463i | ||||
\(561\) | 10.5102 | + | 18.2041i | 0.443740 | + | 0.768580i | ||||
\(562\) | 10.1704 | 0.429011 | ||||||||
\(563\) | −9.76285 | −0.411455 | −0.205728 | − | 0.978609i | \(-0.565956\pi\) | ||||
−0.205728 | + | 0.978609i | \(0.565956\pi\) | |||||||
\(564\) | −0.939503 | − | 1.62727i | −0.0395602 | − | 0.0685203i | ||||
\(565\) | 0.526100 | − | 0.911233i | 0.0221332 | − | 0.0383358i | ||||
\(566\) | 13.8339 | + | 23.9610i | 0.581482 | + | 1.00716i | ||||
\(567\) | −10.9276 | + | 18.9271i | −0.458915 | + | 0.794864i | ||||
\(568\) | 3.49849 | − | 6.05956i | 0.146793 | − | 0.254254i | ||||
\(569\) | 8.84194 | 0.370674 | 0.185337 | − | 0.982675i | \(-0.440662\pi\) | ||||
0.185337 | + | 0.982675i | \(0.440662\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 22.8411 | 0.955871 | 0.477935 | − | 0.878395i | \(-0.341385\pi\) | ||||
0.477935 | + | 0.878395i | \(0.341385\pi\) | |||||||
\(572\) | −5.32479 | + | 9.22280i | −0.222640 | + | 0.385625i | ||||
\(573\) | −8.28472 | + | 14.3496i | −0.346099 | + | 0.599461i | ||||
\(574\) | −3.64204 | − | 6.30820i | −0.152016 | − | 0.263299i | ||||
\(575\) | 1.31177 | − | 2.27205i | 0.0547046 | − | 0.0947511i | ||||
\(576\) | −1.67557 | − | 2.90217i | −0.0698154 | − | 0.120924i | ||||
\(577\) | −14.0176 | −0.583560 | −0.291780 | − | 0.956486i | \(-0.594247\pi\) | ||||
−0.291780 | + | 0.956486i | \(0.594247\pi\) | |||||||
\(578\) | −7.69270 | −0.319974 | ||||||||
\(579\) | 33.8741 | + | 58.6716i | 1.40776 | + | 2.43831i | ||||
\(580\) | −7.29506 | − | 12.6354i | −0.302911 | − | 0.524657i | ||||
\(581\) | −42.3994 | −1.75903 | ||||||||
\(582\) | 36.2583 | 1.50296 | ||||||||
\(583\) | 1.23395 | + | 2.13726i | 0.0511049 | + | 0.0885163i | ||||
\(584\) | −3.09310 | + | 5.35740i | −0.127993 | + | 0.221691i | ||||
\(585\) | −26.1480 | − | 45.2897i | −1.08109 | − | 1.87250i | ||||
\(586\) | −11.9193 | + | 20.6448i | −0.492382 | + | 0.852830i | ||||
\(587\) | −10.5178 | + | 18.2174i | −0.434116 | + | 0.751911i | −0.997223 | − | 0.0744731i | \(-0.976273\pi\) |
0.563107 | + | 0.826384i | \(0.309606\pi\) | |||||||
\(588\) | 2.02677 | 0.0835825 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 12.2063 | 0.502525 | ||||||||
\(591\) | 12.4110 | − | 21.4964i | 0.510519 | − | 0.884245i | ||||
\(592\) | 0.275486 | − | 0.477156i | 0.0113224 | − | 0.0196110i | ||||
\(593\) | 17.4596 | + | 30.2410i | 0.716981 | + | 1.24185i | 0.962190 | + | 0.272377i | \(0.0878099\pi\) |
−0.245210 | + | 0.969470i | \(0.578857\pi\) | |||||||
\(594\) | −0.742689 | + | 1.28637i | −0.0304729 | + | 0.0527806i | ||||
\(595\) | −17.0723 | − | 29.5701i | −0.699897 | − | 1.21226i | ||||
\(596\) | 9.39851 | 0.384978 | ||||||||
\(597\) | −51.5776 | −2.11093 | ||||||||
\(598\) | 7.92724 | + | 13.7304i | 0.324169 | + | 0.561477i | ||||
\(599\) | 10.7553 | + | 18.6288i | 0.439450 | + | 0.761150i | 0.997647 | − | 0.0685583i | \(-0.0218399\pi\) |
−0.558197 | + | 0.829709i | \(0.688507\pi\) | |||||||
\(600\) | −2.64584 | −0.108016 | ||||||||
\(601\) | 14.3417 | 0.585012 | 0.292506 | − | 0.956264i | \(-0.405511\pi\) | ||||
0.292506 | + | 0.956264i | \(0.405511\pi\) | |||||||
\(602\) | −4.01062 | − | 6.94660i | −0.163461 | − | 0.283122i | ||||
\(603\) | 19.3703 | − | 33.5504i | 0.788821 | − | 1.36628i | ||||
\(604\) | −5.13162 | − | 8.88822i | −0.208803 | − | 0.361657i | ||||
\(605\) | −10.0631 | + | 17.4298i | −0.409122 | + | 0.708621i | ||||
\(606\) | 14.2173 | − | 24.6251i | 0.577539 | − | 1.00033i | ||||
\(607\) | 10.3488 | 0.420046 | 0.210023 | − | 0.977696i | \(-0.432646\pi\) | ||||
0.210023 | + | 0.977696i | \(0.432646\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 41.7615 | 1.69226 | ||||||||
\(610\) | −11.4827 | + | 19.8886i | −0.464921 | + | 0.805267i | ||||
\(611\) | 2.36524 | − | 4.09671i | 0.0956873 | − | 0.165735i | ||||
\(612\) | −8.32620 | − | 14.4214i | −0.336567 | − | 0.582951i | ||||
\(613\) | −9.78370 | + | 16.9459i | −0.395160 | + | 0.684437i | −0.993122 | − | 0.117088i | \(-0.962644\pi\) |
0.597962 | + | 0.801525i | \(0.295978\pi\) | |||||||
\(614\) | −12.9942 | − | 22.5066i | −0.524404 | − | 0.908294i | ||||
\(615\) | −16.1625 | −0.651735 | ||||||||
\(616\) | −4.68915 | −0.188931 | ||||||||
\(617\) | 2.96261 | + | 5.13139i | 0.119270 | + | 0.206582i | 0.919479 | − | 0.393140i | \(-0.128611\pi\) |
−0.800208 | + | 0.599722i | \(0.795278\pi\) | |||||||
\(618\) | −18.6843 | − | 32.3622i | −0.751594 | − | 1.30180i | ||||
\(619\) | 8.03958 | 0.323138 | 0.161569 | − | 0.986861i | \(-0.448345\pi\) | ||||
0.161569 | + | 0.986861i | \(0.448345\pi\) | |||||||
\(620\) | 17.9163 | 0.719535 | ||||||||
\(621\) | 1.10567 | + | 1.91508i | 0.0443692 | + | 0.0768496i | ||||
\(622\) | −11.5522 | + | 20.0089i | −0.463200 | + | 0.802286i | ||||
\(623\) | −9.64494 | − | 16.7055i | −0.386417 | − | 0.669293i | ||||
\(624\) | 7.99463 | − | 13.8471i | 0.320041 | − | 0.554328i | ||||
\(625\) | 14.5736 | − | 25.2422i | 0.582943 | − | 1.00969i | ||||
\(626\) | −12.2647 | −0.490196 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 2.97387 | 0.118671 | ||||||||
\(629\) | 1.36894 | − | 2.37107i | 0.0545831 | − | 0.0945408i | ||||
\(630\) | 11.5133 | − | 19.9417i | 0.458702 | − | 0.794495i | ||||
\(631\) | 6.45032 | + | 11.1723i | 0.256783 | + | 0.444762i | 0.965378 | − | 0.260854i | \(-0.0840040\pi\) |
−0.708595 | + | 0.705615i | \(0.750671\pi\) | |||||||
\(632\) | 2.95579 | − | 5.11958i | 0.117575 | − | 0.203646i | ||||
\(633\) | 10.2271 | + | 17.7139i | 0.406492 | + | 0.704065i | ||||
\(634\) | −0.272305 | −0.0108146 | ||||||||
\(635\) | −2.79494 | −0.110914 | ||||||||
\(636\) | −1.85265 | − | 3.20888i | −0.0734623 | − | 0.127241i | ||||
\(637\) | 2.55124 | + | 4.41887i | 0.101084 | + | 0.175082i | ||||
\(638\) | −9.95669 | −0.394189 | ||||||||
\(639\) | 23.4479 | 0.927584 | ||||||||
\(640\) | −1.22982 | − | 2.13012i | −0.0486131 | − | 0.0842003i | ||||
\(641\) | −14.4319 | + | 24.9969i | −0.570028 | + | 0.987317i | 0.426535 | + | 0.904471i | \(0.359734\pi\) |
−0.996562 | + | 0.0828458i | \(0.973599\pi\) | |||||||
\(642\) | 3.56410 | + | 6.17320i | 0.140664 | + | 0.243637i | ||||
\(643\) | −13.1697 | + | 22.8106i | −0.519363 | + | 0.899563i | 0.480384 | + | 0.877058i | \(0.340497\pi\) |
−0.999747 | + | 0.0225047i | \(0.992836\pi\) | |||||||
\(644\) | −3.49047 | + | 6.04568i | −0.137544 | + | 0.238233i | ||||
\(645\) | −17.7982 | −0.700803 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −3.04601 | −0.119751 | −0.0598756 | − | 0.998206i | \(-0.519070\pi\) | ||||
−0.0598756 | + | 0.998206i | \(0.519070\pi\) | |||||||
\(648\) | −3.91164 | + | 6.77516i | −0.153664 | + | 0.266153i | ||||
\(649\) | 4.16495 | − | 7.21390i | 0.163489 | − | 0.283170i | ||||
\(650\) | −3.33051 | − | 5.76861i | −0.130633 | − | 0.226264i | ||||
\(651\) | −25.6410 | + | 44.4116i | −1.00495 | + | 1.74063i | ||||
\(652\) | −2.79595 | − | 4.84273i | −0.109498 | − | 0.189656i | ||||
\(653\) | −15.1973 | −0.594717 | −0.297359 | − | 0.954766i | \(-0.596106\pi\) | ||||
−0.297359 | + | 0.954766i | \(0.596106\pi\) | |||||||
\(654\) | 4.34824 | 0.170030 | ||||||||
\(655\) | −21.9419 | − | 38.0045i | −0.857342 | − | 1.48496i | ||||
\(656\) | −1.30371 | − | 2.25809i | −0.0509012 | − | 0.0881634i | ||||
\(657\) | −20.7308 | −0.808786 | ||||||||
\(658\) | 2.08289 | 0.0811996 | ||||||||
\(659\) | 8.93704 | + | 15.4794i | 0.348138 | + | 0.602992i | 0.985919 | − | 0.167226i | \(-0.0534808\pi\) |
−0.637781 | + | 0.770218i | \(0.720148\pi\) | |||||||
\(660\) | −5.20234 | + | 9.01071i | −0.202501 | + | 0.350742i | ||||
\(661\) | 18.9263 | + | 32.7812i | 0.736146 | + | 1.27504i | 0.954219 | + | 0.299110i | \(0.0966898\pi\) |
−0.218072 | + | 0.975933i | \(0.569977\pi\) | |||||||
\(662\) | 9.99650 | − | 17.3144i | 0.388525 | − | 0.672945i | ||||
\(663\) | 39.7267 | − | 68.8087i | 1.54286 | − | 2.67231i | ||||
\(664\) | −15.1773 | −0.588994 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.84638 | 0.0715460 | ||||||||
\(667\) | −7.41148 | + | 12.8371i | −0.286974 | + | 0.497053i | ||||
\(668\) | −3.54180 | + | 6.13458i | −0.137036 | + | 0.237354i | ||||
\(669\) | 13.5509 | + | 23.4708i | 0.523906 | + | 0.907433i | ||||
\(670\) | 14.2173 | − | 24.6251i | 0.549263 | − | 0.951351i | ||||
\(671\) | 7.83611 | + | 13.5725i | 0.302510 | + | 0.523962i | ||||
\(672\) | 7.04029 | 0.271585 | ||||||||
\(673\) | 8.28461 | 0.319348 | 0.159674 | − | 0.987170i | \(-0.448956\pi\) | ||||
0.159674 | + | 0.987170i | \(0.448956\pi\) | |||||||
\(674\) | 8.64121 | + | 14.9670i | 0.332847 | + | 0.576508i | ||||
\(675\) | −0.464532 | − | 0.804593i | −0.0178798 | − | 0.0309688i | ||||
\(676\) | 27.2537 | 1.04822 | ||||||||
\(677\) | 18.3233 | 0.704223 | 0.352111 | − | 0.935958i | \(-0.385464\pi\) | ||||
0.352111 | + | 0.935958i | \(0.385464\pi\) | |||||||
\(678\) | 0.539040 | + | 0.933645i | 0.0207017 | + | 0.0358564i | ||||
\(679\) | −20.0963 | + | 34.8079i | −0.771226 | + | 1.33580i | ||||
\(680\) | −6.11121 | − | 10.5849i | −0.234354 | − | 0.405914i | ||||
\(681\) | 34.1399 | − | 59.1321i | 1.30825 | − | 2.26595i | ||||
\(682\) | 6.11328 | − | 10.5885i | 0.234090 | − | 0.405455i | ||||
\(683\) | 49.2217 | 1.88342 | 0.941709 | − | 0.336429i | \(-0.109219\pi\) | ||||
0.941709 | + | 0.336429i | \(0.109219\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 39.1469 | 1.49573 | ||||||||
\(686\) | 8.65427 | − | 14.9896i | 0.330422 | − | 0.572307i | ||||
\(687\) | −11.9273 | + | 20.6587i | −0.455055 | + | 0.788179i | ||||
\(688\) | −1.43564 | − | 2.48661i | −0.0547334 | − | 0.0948011i | ||||
\(689\) | 4.66412 | − | 8.07850i | 0.177689 | − | 0.307766i | ||||
\(690\) | 7.74495 | + | 13.4146i | 0.294845 | + | 0.510687i | ||||
\(691\) | 16.6779 | 0.634458 | 0.317229 | − | 0.948349i | \(-0.397248\pi\) | ||||
0.317229 | + | 0.948349i | \(0.397248\pi\) | |||||||
\(692\) | 23.0208 | 0.875120 | ||||||||
\(693\) | −7.85701 | − | 13.6087i | −0.298463 | − | 0.516953i | ||||
\(694\) | −9.27279 | − | 16.0609i | −0.351990 | − | 0.609665i | ||||
\(695\) | −24.8921 | −0.944210 | ||||||||
\(696\) | 14.9490 | 0.566639 | ||||||||
\(697\) | −6.47834 | − | 11.2208i | −0.245385 | − | 0.425019i | ||||
\(698\) | −10.0605 | + | 17.4253i | −0.380796 | + | 0.659558i | ||||
\(699\) | −28.8079 | − | 49.8968i | −1.08962 | − | 1.88727i | ||||
\(700\) | 1.46647 | − | 2.54000i | 0.0554273 | − | 0.0960029i | ||||
\(701\) | 15.4533 | − | 26.7659i | 0.583663 | − | 1.01093i | −0.411378 | − | 0.911465i | \(-0.634952\pi\) |
0.995041 | − | 0.0994688i | \(-0.0317143\pi\) | |||||||
\(702\) | 5.61449 | 0.211905 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.67853 | −0.0632620 | ||||||||
\(705\) | 2.31085 | − | 4.00250i | 0.0870315 | − | 0.150743i | ||||
\(706\) | 12.0278 | − | 20.8328i | 0.452674 | − | 0.784054i | ||||
\(707\) | 15.7600 | + | 27.2972i | 0.592716 | + | 1.02661i | ||||
\(708\) | −6.25325 | + | 10.8310i | −0.235012 | + | 0.407052i | ||||
\(709\) | −20.0528 | − | 34.7325i | −0.753098 | − | 1.30440i | −0.946314 | − | 0.323248i | \(-0.895225\pi\) |
0.193216 | − | 0.981156i | \(-0.438108\pi\) | |||||||
\(710\) | 17.2101 | 0.645884 | ||||||||
\(711\) | 19.8105 | 0.742953 | ||||||||
\(712\) | −3.45251 | − | 5.97992i | −0.129388 | − | 0.224107i | ||||
\(713\) | −9.10111 | − | 15.7636i | −0.340839 | − | 0.590351i | ||||
\(714\) | 34.9845 | 1.30926 | ||||||||
\(715\) | −26.1942 | −0.979608 | ||||||||
\(716\) | 4.10736 | + | 7.11415i | 0.153499 | + | 0.265868i | ||||
\(717\) | −10.9199 | + | 18.9139i | −0.407813 | + | 0.706352i | ||||
\(718\) | −5.42673 | − | 9.39937i | −0.202524 | − | 0.350781i | ||||
\(719\) | 22.8264 | − | 39.5365i | 0.851282 | − | 1.47446i | −0.0287690 | − | 0.999586i | \(-0.509159\pi\) |
0.880051 | − | 0.474878i | \(-0.157508\pi\) | |||||||
\(720\) | 4.12132 | − | 7.13833i | 0.153592 | − | 0.266030i | ||||
\(721\) | 41.4235 | 1.54269 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −14.2596 | −0.530322 | ||||||||
\(724\) | −6.49994 | + | 11.2582i | −0.241569 | + | 0.418409i | ||||
\(725\) | 3.11382 | − | 5.39329i | 0.115644 | − | 0.200302i | ||||
\(726\) | −10.3106 | − | 17.8585i | −0.382662 | − | 0.662790i | ||||
\(727\) | 7.59053 | − | 13.1472i | 0.281517 | − | 0.487602i | −0.690242 | − | 0.723579i | \(-0.742496\pi\) |
0.971759 | + | 0.235977i | \(0.0758291\pi\) | |||||||
\(728\) | 8.86212 | + | 15.3496i | 0.328452 | + | 0.568896i | ||||
\(729\) | −32.9073 | −1.21879 | ||||||||
\(730\) | −15.2159 | −0.563164 | ||||||||
\(731\) | −7.13397 | − | 12.3564i | −0.263859 | − | 0.457018i | ||||
\(732\) | −11.7651 | − | 20.3778i | −0.434852 | − | 0.753185i | ||||
\(733\) | −26.9986 | −0.997217 | −0.498608 | − | 0.866827i | \(-0.666155\pi\) | ||||
−0.498608 | + | 0.866827i | \(0.666155\pi\) | |||||||
\(734\) | 32.6121 | 1.20373 | ||||||||
\(735\) | 2.49257 | + | 4.31726i | 0.0919398 | + | 0.159244i | ||||
\(736\) | −1.24945 | + | 2.16411i | −0.0460554 | + | 0.0797703i | ||||
\(737\) | −9.70228 | − | 16.8048i | −0.357388 | − | 0.619014i | ||||
\(738\) | 4.36890 | − | 7.56716i | 0.160822 | − | 0.278551i | ||||
\(739\) | 2.60391 | − | 4.51010i | 0.0957864 | − | 0.165907i | −0.814150 | − | 0.580654i | \(-0.802797\pi\) |
0.909937 | + | 0.414748i | \(0.136130\pi\) | |||||||
\(740\) | 1.35520 | 0.0498181 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.10736 | 0.150786 | ||||||||
\(743\) | 11.0539 | − | 19.1460i | 0.405529 | − | 0.702398i | −0.588853 | − | 0.808240i | \(-0.700420\pi\) |
0.994383 | + | 0.105842i | \(0.0337538\pi\) | |||||||
\(744\) | −9.17848 | + | 15.8976i | −0.336499 | + | 0.582834i | ||||
\(745\) | 11.5585 | + | 20.0199i | 0.423471 | + | 0.733474i | ||||
\(746\) | 2.65099 | − | 4.59165i | 0.0970596 | − | 0.168112i | ||||
\(747\) | −25.4307 | − | 44.0472i | −0.930460 | − | 1.61160i | ||||
\(748\) | −8.34092 | −0.304974 | ||||||||
\(749\) | −7.90167 | −0.288721 | ||||||||
\(750\) | 12.2428 | + | 21.2051i | 0.447043 | + | 0.774301i | ||||
\(751\) | −6.24798 | − | 10.8218i | −0.227992 | − | 0.394894i | 0.729221 | − | 0.684279i | \(-0.239883\pi\) |
−0.957213 | + | 0.289384i | \(0.906549\pi\) | |||||||
\(752\) | 0.745593 | 0.0271890 | ||||||||
\(753\) | −34.1612 | −1.24490 | ||||||||
\(754\) | 18.8173 | + | 32.5926i | 0.685287 | + | 1.18695i | ||||
\(755\) | 12.6220 | − | 21.8619i | 0.459361 | − | 0.795636i | ||||
\(756\) | 1.23607 | + | 2.14093i | 0.0449554 | + | 0.0778650i | ||||
\(757\) | 15.4994 | − | 26.8458i | 0.563336 | − | 0.975727i | −0.433866 | − | 0.900977i | \(-0.642851\pi\) |
0.997202 | − | 0.0747495i | \(-0.0238157\pi\) | |||||||
\(758\) | −12.3328 | + | 21.3610i | −0.447948 | + | 0.775868i | ||||
\(759\) | 10.5707 | 0.383693 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.96398 | 0.0711941 | 0.0355971 | − | 0.999366i | \(-0.488667\pi\) | ||||
0.0355971 | + | 0.999366i | \(0.488667\pi\) | |||||||
\(762\) | 1.43184 | − | 2.48002i | 0.0518702 | − | 0.0898418i | ||||
\(763\) | −2.41003 | + | 4.17429i | −0.0872489 | + | 0.151120i | ||||
\(764\) | −3.28740 | − | 5.69394i | −0.118934 | − | 0.205999i | ||||
\(765\) | 20.4795 | − | 35.4716i | 0.740439 | − | 1.28248i | ||||
\(766\) | −1.82208 | − | 3.15593i | −0.0658344 | − | 0.114029i | ||||
\(767\) | −31.4857 | −1.13688 | ||||||||
\(768\) | 2.52015 | 0.0909380 | ||||||||
\(769\) | 11.1661 | + | 19.3402i | 0.402659 | + | 0.697426i | 0.994046 | − | 0.108962i | \(-0.0347527\pi\) |
−0.591387 | + | 0.806388i | \(0.701419\pi\) | |||||||
\(770\) | −5.76684 | − | 9.98845i | −0.207822 | − | 0.359959i | ||||
\(771\) | −25.3004 | −0.911172 | ||||||||
\(772\) | −26.8826 | −0.967527 | ||||||||
\(773\) | 13.6776 | + | 23.6904i | 0.491951 | + | 0.852084i | 0.999957 | − | 0.00926978i | \(-0.00295070\pi\) |
−0.508006 | + | 0.861353i | \(0.669617\pi\) | |||||||
\(774\) | 4.81105 | − | 8.33298i | 0.172929 | − | 0.299523i | ||||
\(775\) | 3.82369 | + | 6.62282i | 0.137351 | + | 0.237899i | ||||
\(776\) | −7.19369 | + | 12.4598i | −0.258238 | + | 0.447282i | ||||
\(777\) | −1.93950 | + | 3.35932i | −0.0695793 | + | 0.120515i | ||||
\(778\) | −2.79353 | −0.100153 |