Newspace parameters
Level: | \( N \) | \(=\) | \( 1300 = 2^{2} \cdot 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1300.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(10.3805522628\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{12})\) |
Defining polynomial: |
\( x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 260) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 293.1 | ||
Root | \(0.866025 - 0.500000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1300.293 |
Dual form | 1300.2.bs.b.457.1 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1300\mathbb{Z}\right)^\times\).
\(n\) | \(301\) | \(651\) | \(677\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 | 0 | ||||||||
\(3\) | 0.500000 | − | 0.133975i | 0.288675 | − | 0.0773503i | −0.111576 | − | 0.993756i | \(-0.535590\pi\) |
0.400251 | + | 0.916406i | \(0.368923\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.13397 | − | 1.23205i | 0.806567 | − | 0.465671i | −0.0391956 | − | 0.999232i | \(-0.512480\pi\) |
0.845762 | + | 0.533560i | \(0.179146\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −2.36603 | + | 1.36603i | −0.788675 | + | 0.455342i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −1.13397 | − | 4.23205i | −0.341906 | − | 1.27601i | −0.896185 | − | 0.443680i | \(-0.853673\pi\) |
0.554279 | − | 0.832331i | \(-0.312994\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.00000 | − | 3.00000i | 0.554700 | − | 0.832050i | ||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 0.232051 | − | 0.866025i | 0.0562806 | − | 0.210042i | −0.932059 | − | 0.362306i | \(-0.881990\pi\) |
0.988340 | + | 0.152264i | \(0.0486563\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.86603 | − | 0.767949i | −0.657511 | − | 0.176180i | −0.0853887 | − | 0.996348i | \(-0.527213\pi\) |
−0.572123 | + | 0.820168i | \(0.693880\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.901924 | − | 0.901924i | 0.196816 | − | 0.196816i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.0358984 | + | 0.133975i | 0.00748533 | + | 0.0279356i | 0.969567 | − | 0.244824i | \(-0.0787302\pi\) |
−0.962082 | + | 0.272760i | \(0.912064\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −2.09808 | + | 2.09808i | −0.403775 | + | 0.403775i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.50000 | − | 0.866025i | −0.278543 | − | 0.160817i | 0.354221 | − | 0.935162i | \(-0.384746\pi\) |
−0.632764 | + | 0.774345i | \(0.718080\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.19615 | − | 5.19615i | −0.933257 | − | 0.933257i | 0.0646514 | − | 0.997908i | \(-0.479406\pi\) |
−0.997908 | + | 0.0646514i | \(0.979406\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −1.13397 | − | 1.96410i | −0.197400 | − | 0.341906i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.33013 | − | 0.767949i | −0.218672 | − | 0.126250i | 0.386663 | − | 0.922221i | \(-0.373628\pi\) |
−0.605335 | + | 0.795971i | \(0.706961\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.598076 | − | 1.76795i | 0.0957688 | − | 0.283098i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.33013 | − | 2.50000i | 1.45712 | − | 0.390434i | 0.558627 | − | 0.829419i | \(-0.311329\pi\) |
0.898494 | + | 0.438985i | \(0.144662\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 5.96410 | + | 1.59808i | 0.909517 | + | 0.243704i | 0.683099 | − | 0.730326i | \(-0.260632\pi\) |
0.226418 | + | 0.974030i | \(0.427298\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − | 10.9282i | − | 1.59404i | −0.603951 | − | 0.797021i | \(-0.706408\pi\) | ||
0.603951 | − | 0.797021i | \(-0.293592\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.464102 | + | 0.803848i | −0.0663002 | + | 0.114835i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − | 0.464102i | − | 0.0649872i | ||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −2.46410 | − | 2.46410i | −0.338470 | − | 0.338470i | 0.517321 | − | 0.855791i | \(-0.326929\pi\) |
−0.855791 | + | 0.517321i | \(0.826929\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.53590 | −0.203435 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 2.33013 | − | 8.69615i | 0.303357 | − | 1.13214i | −0.630994 | − | 0.775788i | \(-0.717353\pi\) |
0.934351 | − | 0.356355i | \(-0.115981\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.50000 | + | 7.79423i | 0.576166 | + | 0.997949i | 0.995914 | + | 0.0903080i | \(0.0287851\pi\) |
−0.419748 | + | 0.907641i | \(0.637882\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −3.36603 | + | 5.83013i | −0.424079 | + | 0.734527i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −6.13397 | + | 10.6244i | −0.749384 | + | 1.29797i | 0.198734 | + | 0.980053i | \(0.436317\pi\) |
−0.948118 | + | 0.317918i | \(0.897016\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.0358984 | + | 0.0621778i | 0.00432166 | + | 0.00748533i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.598076 | − | 2.23205i | 0.0709786 | − | 0.264896i | −0.921313 | − | 0.388822i | \(-0.872882\pi\) |
0.992291 | + | 0.123927i | \(0.0395487\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 14.9282 | 1.74721 | 0.873607 | − | 0.486632i | \(-0.161775\pi\) | ||||
0.873607 | + | 0.486632i | \(0.161775\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.63397 | − | 7.63397i | −0.869972 | − | 0.869972i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − | 0.535898i | − | 0.0602933i | −0.999545 | − | 0.0301466i | \(-0.990403\pi\) | ||
0.999545 | − | 0.0301466i | \(-0.00959743\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.33013 | − | 5.76795i | 0.370014 | − | 0.640883i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − | 2.92820i | − | 0.321412i | −0.987002 | − | 0.160706i | \(-0.948623\pi\) | ||
0.987002 | − | 0.160706i | \(-0.0513771\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −0.866025 | − | 0.232051i | −0.0928477 | − | 0.0248785i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −14.7942 | + | 3.96410i | −1.56819 | + | 0.420194i | −0.935243 | − | 0.354005i | \(-0.884819\pi\) |
−0.632942 | + | 0.774199i | \(0.718153\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0.571797 | − | 8.86603i | 0.0599406 | − | 0.929412i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.29423 | − | 1.90192i | −0.341596 | − | 0.197220i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.86603 | − | 6.69615i | −0.392535 | − | 0.679891i | 0.600248 | − | 0.799814i | \(-0.295069\pi\) |
−0.992783 | + | 0.119923i | \(0.961735\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 8.46410 | + | 8.46410i | 0.850674 | + | 0.850674i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −14.8923 | − | 8.59808i | −1.48184 | − | 0.855541i | −0.482052 | − | 0.876143i | \(-0.660108\pi\) |
−0.999788 | + | 0.0206021i | \(0.993442\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 11.1962 | − | 11.1962i | 1.10319 | − | 1.10319i | 0.109166 | − | 0.994024i | \(-0.465182\pi\) |
0.994024 | − | 0.109166i | \(-0.0348181\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 1.96410 | + | 7.33013i | 0.189877 | + | 0.708630i | 0.993534 | + | 0.113537i | \(0.0362181\pi\) |
−0.803657 | + | 0.595093i | \(0.797115\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.53590 | + | 3.53590i | −0.338678 | + | 0.338678i | −0.855869 | − | 0.517192i | \(-0.826977\pi\) |
0.517192 | + | 0.855869i | \(0.326977\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −0.767949 | − | 0.205771i | −0.0728905 | − | 0.0195310i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.767949 | + | 2.86603i | −0.0722426 | + | 0.269613i | −0.992594 | − | 0.121480i | \(-0.961236\pi\) |
0.920351 | + | 0.391093i | \(0.127903\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −0.633975 | + | 9.83013i | −0.0586110 | + | 0.908796i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −0.571797 | − | 2.13397i | −0.0524165 | − | 0.195621i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.09808 | + | 4.09808i | −0.645280 | + | 0.372552i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 4.33013 | − | 2.50000i | 0.390434 | − | 0.225417i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 19.8923 | − | 5.33013i | 1.76516 | − | 0.472972i | 0.777404 | − | 0.629001i | \(-0.216536\pi\) |
0.987752 | + | 0.156029i | \(0.0498694\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 3.19615 | 0.281406 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.85641 | 0.511677 | 0.255838 | − | 0.966720i | \(-0.417649\pi\) | ||||
0.255838 | + | 0.966720i | \(0.417649\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.06218 | + | 1.89230i | −0.612368 | + | 0.164084i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 12.4019 | − | 7.16025i | 1.05957 | − | 0.611742i | 0.134255 | − | 0.990947i | \(-0.457136\pi\) |
0.925313 | + | 0.379205i | \(0.123802\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.50000 | + | 2.59808i | −0.381685 | + | 0.220366i | −0.678551 | − | 0.734553i | \(-0.737392\pi\) |
0.296866 | + | 0.954919i | \(0.404058\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1.46410 | − | 5.46410i | −0.123300 | − | 0.460160i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −14.9641 | − | 5.06218i | −1.25136 | − | 0.423321i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −0.124356 | + | 0.464102i | −0.0102567 | + | 0.0382785i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −3.33013 | − | 0.892305i | −0.272815 | − | 0.0731005i | 0.119818 | − | 0.992796i | \(-0.461769\pi\) |
−0.392633 | + | 0.919695i | \(0.628436\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −0.267949 | + | 0.267949i | −0.0218054 | + | 0.0218054i | −0.717925 | − | 0.696120i | \(-0.754908\pi\) |
0.696120 | + | 0.717925i | \(0.254908\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0.633975 | + | 2.36603i | 0.0512538 | + | 0.191282i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −6.46410 | + | 6.46410i | −0.515891 | + | 0.515891i | −0.916326 | − | 0.400434i | \(-0.868859\pi\) |
0.400434 | + | 0.916326i | \(0.368859\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1.56218 | − | 0.901924i | −0.123889 | − | 0.0715272i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.241670 | + | 0.241670i | 0.0190462 | + | 0.0190462i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 1.59808 | + | 2.76795i | 0.125171 | + | 0.216803i | 0.921800 | − | 0.387666i | \(-0.126719\pi\) |
−0.796629 | + | 0.604469i | \(0.793385\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 15.9904 | + | 9.23205i | 1.23737 | + | 0.714398i | 0.968556 | − | 0.248794i | \(-0.0800342\pi\) |
0.268816 | + | 0.963191i | \(0.413368\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.00000 | − | 12.0000i | −0.384615 | − | 0.923077i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 7.83013 | − | 2.09808i | 0.598785 | − | 0.160444i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 2.76795 | + | 0.741670i | 0.210443 | + | 0.0563881i | 0.362500 | − | 0.931984i | \(-0.381923\pi\) |
−0.152057 | + | 0.988372i | \(0.548590\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − | 4.66025i | − | 0.350286i | ||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.96410 | − | 12.0622i | 0.520521 | − | 0.901570i | −0.479194 | − | 0.877709i | \(-0.659071\pi\) |
0.999715 | − | 0.0238604i | \(-0.00759573\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 22.9282i | 1.70424i | 0.523347 | + | 0.852120i | \(0.324683\pi\) | ||||
−0.523347 | + | 0.852120i | \(0.675317\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 3.29423 | + | 3.29423i | 0.243516 | + | 0.243516i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.92820 | −0.287259 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −1.89230 | + | 7.06218i | −0.137645 | + | 0.513698i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 7.50000 | + | 12.9904i | 0.542681 | + | 0.939951i | 0.998749 | + | 0.0500060i | \(0.0159241\pi\) |
−0.456068 | + | 0.889945i | \(0.650743\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.7942 | + | 22.1603i | −0.920949 | + | 1.59513i | −0.122998 | + | 0.992407i | \(0.539251\pi\) |
−0.797950 | + | 0.602723i | \(0.794082\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2.13397 | + | 3.69615i | −0.152039 | + | 0.263340i | −0.931977 | − | 0.362517i | \(-0.881917\pi\) |
0.779938 | + | 0.625857i | \(0.215251\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.42820 | + | 16.3301i | 0.668348 | + | 1.15761i | 0.978366 | + | 0.206881i | \(0.0663314\pi\) |
−0.310018 | + | 0.950731i | \(0.600335\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.64359 | + | 6.13397i | −0.115930 | + | 0.432657i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −4.26795 | −0.299551 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.267949 | − | 0.267949i | −0.0186238 | − | 0.0186238i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 13.0000i | 0.899229i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.96410 | + | 5.13397i | −0.204057 | + | 0.353437i | −0.949832 | − | 0.312761i | \(-0.898746\pi\) |
0.745775 | + | 0.666198i | \(0.232080\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 1.19615i | − | 0.0819590i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −17.4904 | − | 4.68653i | −1.18732 | − | 0.318143i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 7.46410 | − | 2.00000i | 0.504377 | − | 0.135147i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −2.13397 | − | 2.42820i | −0.143547 | − | 0.163339i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1.33013 | + | 0.767949i | 0.0890719 | + | 0.0514257i | 0.543874 | − | 0.839167i | \(-0.316957\pi\) |
−0.454802 | + | 0.890592i | \(0.650290\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −1.59808 | − | 2.76795i | −0.106068 | − | 0.183715i | 0.808106 | − | 0.589037i | \(-0.200493\pi\) |
−0.914174 | + | 0.405322i | \(0.867159\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.0717968 | + | 0.0717968i | 0.00474446 | + | 0.00474446i | 0.709475 | − | 0.704731i | \(-0.248932\pi\) |
−0.704731 | + | 0.709475i | \(0.748932\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −4.83975 | − | 2.79423i | −0.318432 | − | 0.183847i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.8564 | + | 12.8564i | −0.842251 | + | 0.842251i | −0.989151 | − | 0.146900i | \(-0.953070\pi\) |
0.146900 | + | 0.989151i | \(0.453070\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −0.0717968 | − | 0.267949i | −0.00466370 | − | 0.0174052i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 16.6603 | − | 16.6603i | 1.07766 | − | 1.07766i | 0.0809436 | − | 0.996719i | \(-0.474207\pi\) |
0.996719 | − | 0.0809436i | \(-0.0257934\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.3301 | + | 3.03590i | 0.729838 | + | 0.195559i | 0.604557 | − | 0.796562i | \(-0.293350\pi\) |
0.125281 | + | 0.992121i | \(0.460017\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.19615 | − | 11.9282i | 0.205033 | − | 0.765195i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −8.03590 | + | 7.06218i | −0.511312 | + | 0.449356i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −0.392305 | − | 1.46410i | −0.0248613 | − | 0.0927837i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −15.3564 | + | 8.86603i | −0.969288 | + | 0.559619i | −0.899019 | − | 0.437910i | \(-0.855719\pi\) |
−0.0702687 | + | 0.997528i | \(0.522386\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.526279 | − | 0.303848i | 0.0330869 | − | 0.0191027i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −21.6244 | + | 5.79423i | −1.34889 | + | 0.361434i | −0.859725 | − | 0.510757i | \(-0.829365\pi\) |
−0.489165 | + | 0.872191i | \(0.662698\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −3.78461 | −0.235164 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 4.73205 | 0.292907 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −13.8923 | + | 3.72243i | −0.856636 | + | 0.229535i | −0.660300 | − | 0.751002i | \(-0.729571\pi\) |
−0.196336 | + | 0.980537i | \(0.562904\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.86603 | + | 3.96410i | −0.420194 | + | 0.242599i | ||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 15.8205 | − | 9.13397i | 0.964593 | − | 0.556908i | 0.0670097 | − | 0.997752i | \(-0.478654\pi\) |
0.897584 | + | 0.440844i | \(0.145321\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.33013 | + | 16.1603i | 0.263036 | + | 0.981666i | 0.963441 | + | 0.267920i | \(0.0863362\pi\) |
−0.700405 | + | 0.713746i | \(0.746997\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −0.901924 | − | 4.50962i | −0.0545869 | − | 0.272935i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 2.76795 | − | 10.3301i | 0.166310 | − | 0.620677i | −0.831560 | − | 0.555436i | \(-0.812552\pi\) |
0.997869 | − | 0.0652416i | \(-0.0207818\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 19.3923 | + | 5.19615i | 1.16099 | + | 0.311086i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −16.4641 | + | 16.4641i | −0.982166 | + | 0.982166i | −0.999844 | − | 0.0176778i | \(-0.994373\pi\) |
0.0176778 | + | 0.999844i | \(0.494373\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −7.96410 | − | 29.7224i | −0.473417 | − | 1.76682i | −0.627354 | − | 0.778735i | \(-0.715862\pi\) |
0.153937 | − | 0.988081i | \(-0.450805\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 16.8301 | − | 16.8301i | 0.993451 | − | 0.993451i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 14.0263 | + | 8.09808i | 0.825075 | + | 0.476357i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −2.83013 | − | 2.83013i | −0.165905 | − | 0.165905i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 10.2583 | + | 17.7679i | 0.599298 | + | 1.03801i | 0.992925 | + | 0.118744i | \(0.0378869\pi\) |
−0.393627 | + | 0.919270i | \(0.628780\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 11.2583 | + | 6.50000i | 0.653275 | + | 0.377168i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.473721 | + | 0.160254i | 0.0273960 | + | 0.00926773i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.6962 | − | 3.93782i | 0.847072 | − | 0.226972i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −8.59808 | − | 2.30385i | −0.493947 | − | 0.132353i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.00000i | 0.228292i | 0.993464 | + | 0.114146i | \(0.0364132\pi\) | ||||
−0.993464 | + | 0.114146i | \(0.963587\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 4.09808 | − | 7.09808i | 0.233131 | − | 0.403795i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − | 3.46410i | − | 0.196431i | −0.995165 | − | 0.0982156i | \(-0.968687\pi\) | ||
0.995165 | − | 0.0982156i | \(-0.0313135\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5.53590 | + | 5.53590i | 0.312907 | + | 0.312907i | 0.846035 | − | 0.533127i | \(-0.178983\pi\) |
−0.533127 | + | 0.846035i | \(0.678983\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 18.9282 | 1.06311 | 0.531557 | − | 0.847023i | \(-0.321607\pi\) | ||||
0.531557 | + | 0.847023i | \(0.321607\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.96410 | + | 7.33013i | −0.109969 | + | 0.410408i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.96410 | + | 3.40192i | 0.109625 | + | 0.189877i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.33013 | + | 2.30385i | −0.0740102 | + | 0.128190i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −1.29423 | + | 2.24167i | −0.0715710 | + | 0.123965i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −13.4641 | − | 23.3205i | −0.742300 | − | 1.28570i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4.45448 | − | 16.6244i | 0.244841 | − | 0.913757i | −0.728623 | − | 0.684915i | \(-0.759839\pi\) |
0.973464 | − | 0.228842i | \(-0.0734940\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 4.19615 | 0.229948 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 15.9282 | + | 15.9282i | 0.867665 | + | 0.867665i | 0.992213 | − | 0.124549i | \(-0.0397484\pi\) |
−0.124549 | + | 0.992213i | \(0.539748\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 1.53590i | 0.0834185i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −16.0981 | + | 27.8827i | −0.871760 | + | 1.50993i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.5359i | 1.05484i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 10.4282 | + | 2.79423i | 0.559815 | + | 0.150002i | 0.527621 | − | 0.849480i | \(-0.323084\pi\) |
0.0321938 | + | 0.999482i | \(0.489751\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.86603 | + | 2.10770i | −0.421059 | + | 0.112822i | −0.463126 | − | 0.886292i | \(-0.653272\pi\) |
0.0420673 | + | 0.999115i | \(0.486606\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 2.09808 | + | 10.4904i | 0.111987 | + | 0.559935i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −9.06218 | − | 5.23205i | −0.482331 | − | 0.278474i | 0.239056 | − | 0.971006i | \(-0.423162\pi\) |
−0.721387 | + | 0.692532i | \(0.756495\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −0.571797 | − | 0.990381i | −0.0302627 | − | 0.0524165i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 13.1962 | + | 13.1962i | 0.696466 | + | 0.696466i | 0.963647 | − | 0.267180i | \(-0.0860919\pi\) |
−0.267180 | + | 0.963647i | \(0.586092\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.83013 | − | 5.09808i | −0.464744 | − | 0.268320i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −3.00000 | + | 3.00000i | −0.157459 | + | 0.157459i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.96410 | + | 14.7942i | 0.206924 | + | 0.772252i | 0.988854 | + | 0.148886i | \(0.0475688\pi\) |
−0.781930 | + | 0.623366i | \(0.785765\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −18.6603 | + | 18.6603i | −0.971414 | + | 0.971414i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −8.29423 | − | 2.22243i | −0.430615 | − | 0.115383i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.30385 | + | 19.7942i | −0.274623 | + | 1.02491i | 0.681471 | + | 0.731845i | \(0.261341\pi\) |
−0.956094 | + | 0.293061i | \(0.905326\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −5.59808 | + | 2.76795i | −0.288316 | + | 0.142557i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.59808 | + | 9.69615i | 0.133454 | + | 0.498058i | 0.999999 | − | 0.00104063i | \(-0.000331242\pi\) |
−0.866545 | + | 0.499099i | \(0.833665\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 9.23205 | − | 5.33013i | 0.472972 | − | 0.273071i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 22.1147 | − | 12.7679i | 1.13001 | − | 0.652412i | 0.186073 | − | 0.982536i | \(-0.440424\pi\) |
0.943937 | + | 0.330124i | \(0.107091\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −16.2942 | + | 4.36603i | −0.828282 | + | 0.221938i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −15.0718 | −0.764170 | −0.382085 | − | 0.924127i | \(-0.624794\pi\) | ||||
−0.382085 | + | 0.924127i | \(0.624794\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.124356 | 0.00628894 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 2.92820 | − | 0.784610i | 0.147708 | − | 0.0395783i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.86603 | − | 5.69615i | 0.495162 | − | 0.285882i | −0.231552 | − | 0.972823i | \(-0.574380\pi\) |
0.726713 | + | 0.686941i | \(0.241047\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.27757 | + | 1.89230i | −0.164084 | + | 0.0947337i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 2.66987 | + | 9.96410i | 0.133327 | + | 0.497583i | 0.999999 | − | 0.00129478i | \(-0.000412141\pi\) |
−0.866672 | + | 0.498878i | \(0.833745\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −25.9808 | + | 5.19615i | −1.29419 | + | 0.258839i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.74167 | + | 6.50000i | −0.0863314 | + | 0.322193i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 18.5263 | + | 4.96410i | 0.916066 | + | 0.245459i | 0.685903 | − | 0.727693i | \(-0.259407\pi\) |
0.230163 | + | 0.973152i | \(0.426074\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 5.24167 | − | 5.24167i | 0.258553 | − | 0.258553i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | −5.74167 | − | 21.4282i | −0.282529 | − | 1.05441i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.90192 | + | 1.90192i | −0.0931376 | + | 0.0931376i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −31.5000 | − | 18.1865i | −1.53888 | − | 0.888470i | −0.998905 | − | 0.0467865i | \(-0.985102\pi\) |
−0.539971 | − | 0.841684i | \(-0.681565\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.85641 | + | 6.85641i | 0.334161 | + | 0.334161i | 0.854164 | − | 0.520003i | \(-0.174069\pi\) |
−0.520003 | + | 0.854164i | \(0.674069\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 14.9282 | + | 25.8564i | 0.725834 | + | 1.25718i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 19.2058 | + | 11.0885i | 0.929432 | + | 0.536608i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −8.16025 | − | 0.526279i | −0.393981 | − | 0.0254090i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −23.2583 | + | 6.23205i | −1.12031 | + | 0.300187i | −0.771011 | − | 0.636822i | \(-0.780249\pi\) |
−0.349304 | + | 0.937010i | \(0.613582\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −32.5526 | − | 8.72243i | −1.56438 | − | 0.419173i | −0.630330 | − | 0.776327i | \(-0.717081\pi\) |
−0.934046 | + | 0.357154i | \(0.883747\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − | 0.411543i | − | 0.0196868i | ||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.0358984 | − | 0.0621778i | 0.00171334 | − | 0.00296759i | −0.865167 | − | 0.501483i | \(-0.832788\pi\) |
0.866881 | + | 0.498515i | \(0.166121\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | − | 2.53590i | − | 0.120757i | ||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 15.5885 | + | 15.5885i | 0.740630 | + | 0.740630i | 0.972699 | − | 0.232069i | \(-0.0745496\pi\) |
−0.232069 | + | 0.972699i | \(0.574550\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −1.78461 | −0.0844091 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −5.20577 | + | 19.4282i | −0.245676 | + | 0.916874i | 0.727367 | + | 0.686249i | \(0.240744\pi\) |
−0.973043 | + | 0.230625i | \(0.925923\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −21.1603 | − | 36.6506i | −0.996397 | − | 1.72581i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −0.0980762 | + | 0.169873i | −0.00460802 | + | 0.00798133i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 6.79423 | − | 11.7679i | 0.317821 | − | 0.550481i | −0.662212 | − | 0.749316i | \(-0.730382\pi\) |
0.980033 | + | 0.198835i | \(0.0637157\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 1.33013 | + | 2.30385i | 0.0620850 | + | 0.107534i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 0.813467 | − | 3.03590i | 0.0378869 | − | 0.141396i | −0.944392 | − | 0.328823i | \(-0.893348\pi\) |
0.982279 | + | 0.187427i | \(0.0600148\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 21.6077 | 1.00419 | 0.502097 | − | 0.864811i | \(-0.332562\pi\) | ||||
0.502097 | + | 0.864811i | \(0.332562\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.6603 | − | 16.6603i | −0.770945 | − | 0.770945i | 0.207327 | − | 0.978272i | \(-0.433524\pi\) |
−0.978272 | + | 0.207327i | \(0.933524\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 30.2295i | 1.39587i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −2.36603 | + | 4.09808i | −0.109021 | + | 0.188829i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − | 27.0526i | − | 1.24388i | ||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 9.19615 | + | 2.46410i | 0.421063 | + | 0.112823i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.13397 | + | 0.839746i | −0.143195 | + | 0.0383690i | −0.329705 | − | 0.944084i | \(-0.606949\pi\) |
0.186510 | + | 0.982453i | \(0.440282\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −4.96410 | + | 2.45448i | −0.226344 | + | 0.111915i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0.153212 | + | 0.0884573i | 0.00697141 | + | 0.00402495i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.794229 | + | 1.37564i | 0.0359899 | + | 0.0623364i | 0.883459 | − | 0.468508i | \(-0.155208\pi\) |
−0.847469 | + | 0.530844i | \(0.821875\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 1.16987 | + | 1.16987i | 0.0529035 | + | 0.0529035i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 5.89230 | + | 3.40192i | 0.265916 | + | 0.153527i | 0.627030 | − | 0.778995i | \(-0.284270\pi\) |
−0.361114 | + | 0.932522i | \(0.617604\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.09808 | + | 1.09808i | −0.0494549 | + | 0.0494549i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −1.47372 | − | 5.50000i | −0.0661054 | − | 0.246709i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 20.2679 | − | 20.2679i | 0.907318 | − | 0.907318i | −0.0887371 | − | 0.996055i | \(-0.528283\pi\) |
0.996055 | + | 0.0887371i | \(0.0282831\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 9.23205 | + | 2.47372i | 0.412458 | + | 0.110518i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 3.35641 | − | 12.5263i | 0.149655 | − | 0.558519i | −0.849849 | − | 0.527026i | \(-0.823307\pi\) |
0.999504 | − | 0.0314933i | \(-0.0100263\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −4.10770 | − | 5.33013i | −0.182429 | − | 0.236719i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.45448 | − | 27.8205i | −0.330414 | − | 1.23312i | −0.908756 | − | 0.417328i | \(-0.862967\pi\) |
0.578342 | − | 0.815795i | \(-0.303700\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 31.8564 | − | 18.3923i | 1.40924 | − | 0.813628i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 7.62436 | − | 4.40192i | 0.336624 | − | 0.194350i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −46.2487 | + | 12.3923i | −2.03402 | + | 0.545013i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 1.48334 | 0.0651114 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −7.85641 | −0.344195 | −0.172098 | − | 0.985080i | \(-0.555054\pi\) | ||||
−0.172098 | + | 0.985080i | \(0.555054\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −10.9641 | + | 2.93782i | −0.479427 | + | 0.128462i | −0.490436 | − | 0.871477i | \(-0.663162\pi\) |
0.0110090 | + | 0.999939i | \(0.496496\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.70577 | + | 3.29423i | −0.248547 | + | 0.143499i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.9019 | − | 11.4904i | 0.865301 | − | 0.499582i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 6.36603 | + | 23.7583i | 0.276262 | + | 1.03102i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 11.1603 | − | 32.9904i | 0.483404 | − | 1.42897i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1.86603 | − | 6.96410i | 0.0805249 | − | 0.300523i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 3.92820 | + | 1.05256i | 0.169200 | + | 0.0453369i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 21.7846 | − | 21.7846i | 0.936594 | − | 0.936594i | −0.0615128 | − | 0.998106i | \(-0.519592\pi\) |
0.998106 | + | 0.0615128i | \(0.0195925\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 3.07180 | + | 11.4641i | 0.131823 | + | 0.491972i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.124356 | − | 0.124356i | 0.00531706 | − | 0.00531706i | −0.704443 | − | 0.709760i | \(-0.748803\pi\) |
0.709760 | + | 0.704443i | \(0.248803\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −21.2942 | − | 12.2942i | −0.908816 | − | 0.524705i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 3.63397 | + | 3.63397i | 0.154813 | + | 0.154813i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −0.660254 | − | 1.14359i | −0.0280769 | − | 0.0486305i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −13.3301 | − | 7.69615i | −0.564816 | − | 0.326096i | 0.190260 | − | 0.981734i | \(-0.439067\pi\) |
−0.755076 | + | 0.655637i | \(0.772400\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 16.7224 | − | 14.6962i | 0.707284 | − | 0.621581i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.96410 | + | 0.526279i | −0.0829244 | + | 0.0222195i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 24.8923 | + | 6.66987i | 1.04909 | + | 0.281102i | 0.741874 | − | 0.670540i | \(-0.233937\pi\) |
0.307212 | + | 0.951641i | \(0.400604\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − | 16.4115i | − | 0.689220i | ||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 18.8205 | − | 32.5981i | 0.788997 | − | 1.36658i | −0.137585 | − | 0.990490i | \(-0.543934\pi\) |
0.926582 | − | 0.376093i | \(-0.122733\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 21.6077i | − | 0.904254i | −0.891954 | − | 0.452127i | \(-0.850665\pi\) | ||
0.891954 | − | 0.452127i | \(-0.149335\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 5.49038 | + | 5.49038i | 0.229364 | + | 0.229364i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −20.7846 | −0.865275 | −0.432637 | − | 0.901568i | \(-0.642417\pi\) | ||||
−0.432637 | + | 0.901568i | \(0.642417\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −3.42820 | + | 12.7942i | −0.142471 | + | 0.531710i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −3.60770 | − | 6.24871i | −0.149672 | − | 0.259240i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −7.63397 | + | 13.2224i | −0.316167 | + | 0.547617i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 23.7224 | − | 41.0885i | 0.979130 | − | 1.69590i | 0.313556 | − | 0.949570i | \(-0.398480\pi\) |
0.665573 | − | 0.746333i | \(-0.268187\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 10.9019 | + | 18.8827i | 0.449206 | + | 0.778048i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −0.571797 | + | 2.13397i | −0.0235206 | + | 0.0877800i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 30.9282 | 1.27007 | 0.635035 | − | 0.772484i | \(-0.280986\pi\) | ||||
0.635035 | + | 0.772484i | \(0.280986\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 6.90192 | + | 6.90192i | 0.282477 | + | 0.282477i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − | 36.2487i | − | 1.48108i | −0.672011 | − | 0.740541i | \(-0.734569\pi\) | ||
0.672011 | − | 0.740541i | \(-0.265431\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.42820 | − | 12.8660i | 0.303003 | − | 0.524816i | −0.673812 | − | 0.738903i | \(-0.735344\pi\) |
0.976815 | + | 0.214087i | \(0.0686775\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − | 33.5167i | − | 1.36490i | ||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.03590 | − | 0.813467i | −0.123223 | − | 0.0330176i | 0.196680 | − | 0.980468i | \(-0.436984\pi\) |
−0.319904 | + | 0.947450i | \(0.603651\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −2.13397 | + | 0.571797i | −0.0864730 | + | 0.0231704i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −32.7846 | − | 21.8564i | −1.32632 | − | 0.884216i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 21.1865 | + | 12.2321i | 0.855716 | + | 0.494048i | 0.862575 | − | 0.505929i | \(-0.168850\pi\) |
−0.00685934 | + | 0.999976i | \(0.502183\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.79423 | − | 15.2321i | −0.354042 | − | 0.613219i | 0.632911 | − | 0.774224i | \(-0.281860\pi\) |
−0.986954 | + | 0.161005i | \(0.948526\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 14.6603 | + | 14.6603i | 0.589245 | + | 0.589245i | 0.937427 | − | 0.348182i | \(-0.113201\pi\) |
−0.348182 | + | 0.937427i | \(0.613201\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −0.356406 | − | 0.205771i | −0.0143021 | − | 0.00825732i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −26.6865 | + | 26.6865i | −1.06917 | + | 1.06917i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 1.74167 | + | 6.50000i | 0.0695556 | + | 0.259585i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −0.973721 | + | 0.973721i | −0.0388248 | + | 0.0388248i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 41.6506 | + | 11.1603i | 1.65809 | + | 0.444283i | 0.961860 | − | 0.273541i | \(-0.0881948\pi\) |
0.696225 | + | 0.717823i | \(0.254862\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −0.794229 | + | 2.96410i | −0.0315678 | + | 0.117812i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.48334 | + | 3.00000i | 0.0587721 | + | 0.118864i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 1.63397 | + | 6.09808i | 0.0646390 | + | 0.241236i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 5.64359 | − | 3.25833i | 0.222909 | − | 0.128696i | −0.384388 | − | 0.923172i | \(-0.625587\pi\) |
0.607296 | + | 0.794475i | \(0.292254\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 31.3301 | − | 18.0885i | 1.23554 | − | 0.713339i | 0.267360 | − | 0.963597i | \(-0.413849\pi\) |
0.968179 | + | 0.250258i | \(0.0805153\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.50000 | + | 0.669873i | −0.0982851 | + | 0.0263354i | −0.307626 | − | 0.951507i | \(-0.599535\pi\) |
0.209341 | + | 0.977843i | \(0.432868\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −39.4449 | −1.54835 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −9.37307 | −0.367359 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −47.9449 | + | 12.8468i | −1.87623 | + | 0.502734i | −0.876453 | + | 0.481487i | \(0.840097\pi\) |
−0.999774 | + | 0.0212467i | \(0.993236\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −35.3205 | + | 20.3923i | −1.37798 | + | 0.795580i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −35.4282 | + | 20.4545i | −1.38009 | + | 0.796794i | −0.992169 | − | 0.124901i | \(-0.960139\pi\) |
−0.387918 | + | 0.921694i | \(0.626805\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −0.794229 | − | 2.96410i | −0.0308919 | − | 0.115290i | 0.948758 | − | 0.316003i | \(-0.102341\pi\) |
−0.979650 | + | 0.200713i | \(0.935674\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | −1.39230 | − | 0.928203i | −0.0540726 | − | 0.0360484i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0.0621778 | − | 0.232051i | 0.00240754 | − | 0.00898504i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0.767949 | + | 0.205771i | 0.0296906 | + | 0.00795558i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 27.8827 | − | 27.8827i | 1.07640 | − | 1.07640i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −9.62436 | − | 35.9186i | −0.370992 | − | 1.38456i | −0.859114 | − | 0.511784i | \(-0.828985\pi\) |
0.488122 | − | 0.872775i | \(-0.337682\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 28.1769 | − | 28.1769i | 1.08293 | − | 1.08293i | 0.0866916 | − | 0.996235i | \(-0.472371\pi\) |
0.996235 | − | 0.0866916i | \(-0.0276295\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −16.5000 | − | 9.52628i | −0.633212 | − | 0.365585i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.16987 | − | 1.16987i | −0.0448296 | − | 0.0448296i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −7.33013 | − | 12.6962i | −0.280480 | − | 0.485805i | 0.691023 | − | 0.722832i | \(-0.257160\pi\) |
−0.971503 | + | 0.237028i | \(0.923827\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.0455173 | + | 0.0262794i | 0.00173659 | + | 0.00100262i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −12.3205 | + | 2.46410i | −0.469374 | + | 0.0938748i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −37.6506 | + | 10.0885i | −1.43230 | + | 0.383783i | −0.889829 | − | 0.456293i | \(-0.849177\pi\) |
−0.542468 | + | 0.840076i | \(0.682510\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 28.4904 | + | 7.63397i | 1.08226 | + | 0.289991i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − | 8.66025i | − | 0.328031i | ||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −4.70577 | + | 8.15064i | −0.177989 | + | 0.308285i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 21.0718i | − | 0.795871i | −0.917413 | − | 0.397935i | \(-0.869727\pi\) | ||
0.917413 | − | 0.397935i | \(-0.130273\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.22243 | + | 3.22243i | 0.121536 | + | 0.121536i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −42.3731 | −1.59360 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4.27757 | + | 15.9641i | −0.160647 | + | 0.599544i | 0.837908 | + | 0.545812i | \(0.183779\pi\) |
−0.998555 | + | 0.0537328i | \(0.982888\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0.732051 | + | 1.26795i | 0.0274541 | + | 0.0475518i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 0.509619 | − | 0.882686i | 0.0190854 | − | 0.0330568i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 6.09808 | − | 10.5622i | 0.227737 | − | 0.394452i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −20.9641 | − | 36.3109i | −0.781829 | − | 1.35417i | −0.930875 | − | 0.365337i | \(-0.880954\pi\) |
0.149046 | − | 0.988830i | \(-0.452380\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 10.0981 | − | 37.6865i | 0.376072 | − | 1.40352i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 6.07180 | 0.225813 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 33.5885 | + | 33.5885i | 1.24573 | + | 1.24573i | 0.957589 | + | 0.288138i | \(0.0930362\pi\) |
0.288138 | + | 0.957589i | \(0.406964\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 13.5885i | 0.503276i | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 2.76795 | − | 4.79423i | 0.102376 | − | 0.177321i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 26.7846i | − | 0.989312i | −0.869089 | − | 0.494656i | \(-0.835294\pi\) | ||
0.869089 | − | 0.494656i | \(-0.164706\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 51.9186 | + | 13.9115i | 1.91245 | + | 0.512438i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −37.9186 | + | 10.1603i | −1.39486 | + | 0.373751i | −0.876495 | − | 0.481410i | \(-0.840125\pi\) |
−0.518362 | + | 0.855161i | \(0.673458\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.07180 | + | 4.60770i | −0.112845 | + | 0.169268i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 19.3301 | + | 11.1603i | 0.709154 | + | 0.409430i | 0.810748 | − | 0.585396i | \(-0.199061\pi\) |
−0.101594 | + | 0.994826i | \(0.532394\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 4.00000 | + | 6.92820i | 0.146352 | + | 0.253490i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 13.2224 | + | 13.2224i | 0.483137 | + | 0.483137i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 17.6436 | + | 10.1865i | 0.643824 | + | 0.371712i | 0.786086 | − | 0.618117i | \(-0.212104\pi\) |
−0.142262 | + | 0.989829i | \(0.545438\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −6.49038 | + | 6.49038i | −0.236523 | + | 0.236523i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 4.83975 | + | 18.0622i | 0.175904 | + | 0.656481i | 0.996396 | + | 0.0848236i | \(0.0270327\pi\) |
−0.820492 | + | 0.571657i | \(0.806301\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.222432 | − | 0.222432i | 0.00807377 | − | 0.00807377i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −0.669873 | − | 0.179492i | −0.0242829 | − | 0.00650658i | 0.246657 | − | 0.969103i | \(-0.420668\pi\) |
−0.270940 | + | 0.962596i | \(0.587335\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −3.18911 | + | 11.9019i | −0.115454 | + | 0.430879i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −21.4282 | − | 24.3827i | −0.773728 | − | 0.880408i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 5.47372 | + | 20.4282i | 0.197387 | + | 0.736660i | 0.991636 | + | 0.129067i | \(0.0411982\pi\) |
−0.794248 | + | 0.607593i | \(0.792135\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −10.0359 | + | 5.79423i | −0.361434 | + | 0.208674i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −17.0429 | + | 9.83975i | −0.612992 | + | 0.353911i | −0.774136 | − | 0.633020i | \(-0.781815\pi\) |
0.161144 | + | 0.986931i | \(0.448482\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −1.89230 | + | 0.507042i | −0.0678861 | + | 0.0181900i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −28.6603 | −1.02686 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −10.1244 | −0.362278 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 4.96410 | − | 1.33013i | 0.177403 | − | 0.0475349i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 37.4545 | − | 21.6244i | 1.33511 | − | 0.770825i | 0.349031 | − | 0.937111i | \(-0.386511\pi\) |
0.986078 | + | 0.166286i | \(0.0531776\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.44744 | + | 3.72243i | −0.229535 | + | 0.132522i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1.89230 | + | 7.06218i | 0.0672826 | + | 0.251102i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 32.3827 | + | 2.08846i | 1.14994 | + | 0.0741633i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 |