Newspace parameters
Level: | \( N \) | \(=\) | \( 680 = 2^{3} \cdot 5 \cdot 17 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 680.co (of order \(16\), degree \(8\), minimal) |
Newform invariants
Self dual: | no |
Analytic conductor: | \(5.42982733745\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(104\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 419.94 | ||
Character | \(\chi\) | \(=\) | 680.419 |
Dual form | 680.2.co.a.99.94 |
$q$-expansion
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/680\mathbb{Z}\right)^\times\).
\(n\) | \(137\) | \(241\) | \(341\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{16}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35478 | + | 0.405659i | 0.957977 | + | 0.286844i | ||||
\(3\) | 3.02940 | − | 0.602586i | 1.74903 | − | 0.347903i | 0.786189 | − | 0.617986i | \(-0.212051\pi\) |
0.962837 | + | 0.270083i | \(0.0870510\pi\) | |||||||
\(4\) | 1.67088 | + | 1.09916i | 0.835441 | + | 0.549581i | ||||
\(5\) | 0.0803191 | − | 2.23462i | 0.0359198 | − | 0.999355i | ||||
\(6\) | 4.34863 | + | 0.412531i | 1.77532 | + | 0.168415i | ||||
\(7\) | −3.84724 | + | 2.57064i | −1.45412 | + | 0.971612i | −0.457522 | + | 0.889198i | \(0.651263\pi\) |
−0.996598 | + | 0.0824138i | \(0.973737\pi\) | |||||||
\(8\) | 1.81780 | + | 2.16693i | 0.642689 | + | 0.766127i | ||||
\(9\) | 6.04253 | − | 2.50290i | 2.01418 | − | 0.834300i | ||||
\(10\) | 1.01531 | − | 2.99485i | 0.321070 | − | 0.947056i | ||||
\(11\) | 2.30746 | + | 0.458983i | 0.695726 | + | 0.138389i | 0.530270 | − | 0.847829i | \(-0.322090\pi\) |
0.165456 | + | 0.986217i | \(0.447090\pi\) | |||||||
\(12\) | 5.72411 | + | 2.32295i | 1.65241 | + | 0.670579i | ||||
\(13\) | −0.474407 | + | 0.474407i | −0.131577 | + | 0.131577i | −0.769828 | − | 0.638251i | \(-0.779658\pi\) |
0.638251 | + | 0.769828i | \(0.279658\pi\) | |||||||
\(14\) | −6.25499 | + | 1.92200i | −1.67172 | + | 0.513676i | ||||
\(15\) | −1.10323 | − | 6.81798i | −0.284854 | − | 1.76039i | ||||
\(16\) | 1.58369 | + | 3.67314i | 0.395922 | + | 0.918284i | ||||
\(17\) | −3.71414 | + | 1.79030i | −0.900810 | + | 0.434213i | ||||
\(18\) | 9.20166 | − | 0.939681i | 2.16885 | − | 0.221485i | ||||
\(19\) | −6.53598 | − | 2.70729i | −1.49946 | − | 0.621095i | −0.526106 | − | 0.850419i | \(-0.676348\pi\) |
−0.973350 | + | 0.229324i | \(0.926348\pi\) | |||||||
\(20\) | 2.59042 | − | 3.64551i | 0.579235 | − | 0.815161i | ||||
\(21\) | −10.1058 | + | 10.1058i | −2.20527 | + | 2.20527i | ||||
\(22\) | 2.93992 | + | 1.55787i | 0.626794 | + | 0.332138i | ||||
\(23\) | 1.31540 | − | 6.61299i | 0.274281 | − | 1.37890i | −0.560424 | − | 0.828206i | \(-0.689362\pi\) |
0.834705 | − | 0.550697i | \(-0.185638\pi\) | |||||||
\(24\) | 6.81261 | + | 5.46914i | 1.39062 | + | 1.11638i | ||||
\(25\) | −4.98710 | − | 0.358966i | −0.997420 | − | 0.0717933i | ||||
\(26\) | −0.835166 | + | 0.450272i | −0.163790 | + | 0.0883055i | ||||
\(27\) | 9.09245 | − | 6.07538i | 1.74984 | − | 1.16921i | ||||
\(28\) | −9.25383 | + | 0.0665044i | −1.74881 | + | 0.0125681i | ||||
\(29\) | 4.89597 | + | 3.27138i | 0.909158 | + | 0.607480i | 0.919768 | − | 0.392464i | \(-0.128377\pi\) |
−0.0106093 | + | 0.999944i | \(0.503377\pi\) | |||||||
\(30\) | 1.27113 | − | 9.68443i | 0.232076 | − | 1.76813i | ||||
\(31\) | −0.996655 | − | 5.01052i | −0.179005 | − | 0.899917i | −0.960982 | − | 0.276610i | \(-0.910789\pi\) |
0.781978 | − | 0.623306i | \(-0.214211\pi\) | |||||||
\(32\) | 0.655518 | + | 5.61875i | 0.115880 | + | 0.993263i | ||||
\(33\) | 7.26681 | 1.26499 | ||||||||
\(34\) | −5.75811 | + | 0.918803i | −0.987507 | + | 0.157573i | ||||
\(35\) | 5.43542 | + | 8.80361i | 0.918753 | + | 1.48808i | ||||
\(36\) | 12.8474 | + | 2.45967i | 2.14124 | + | 0.409945i | ||||
\(37\) | 1.03900 | + | 5.22343i | 0.170811 | + | 0.858727i | 0.967215 | + | 0.253961i | \(0.0817334\pi\) |
−0.796403 | + | 0.604766i | \(0.793267\pi\) | |||||||
\(38\) | −7.75660 | − | 6.31917i | −1.25829 | − | 1.02511i | ||||
\(39\) | −1.15130 | + | 1.72304i | −0.184355 | + | 0.275907i | ||||
\(40\) | 4.98829 | − | 3.88805i | 0.788718 | − | 0.614755i | ||||
\(41\) | −3.57941 | + | 2.39169i | −0.559010 | + | 0.373519i | −0.802744 | − | 0.596323i | \(-0.796628\pi\) |
0.243734 | + | 0.969842i | \(0.421628\pi\) | |||||||
\(42\) | −17.7907 | + | 9.59168i | −2.74517 | + | 1.48003i | ||||
\(43\) | −0.819076 | − | 1.97742i | −0.124908 | − | 0.301554i | 0.849039 | − | 0.528330i | \(-0.177182\pi\) |
−0.973947 | + | 0.226776i | \(0.927182\pi\) | |||||||
\(44\) | 3.35100 | + | 3.30318i | 0.505182 | + | 0.497973i | ||||
\(45\) | −5.10771 | − | 13.7038i | −0.761413 | − | 2.04285i | ||||
\(46\) | 4.46471 | − | 8.42556i | 0.658285 | − | 1.24228i | ||||
\(47\) | −1.24163 | + | 1.24163i | −0.181110 | + | 0.181110i | −0.791840 | − | 0.610729i | \(-0.790876\pi\) |
0.610729 | + | 0.791840i | \(0.290876\pi\) | |||||||
\(48\) | 7.01101 | + | 10.1731i | 1.01195 | + | 1.46836i | ||||
\(49\) | 5.51427 | − | 13.3126i | 0.787752 | − | 1.90180i | ||||
\(50\) | −6.61082 | − | 2.50938i | −0.934912 | − | 0.354880i | ||||
\(51\) | −10.1728 | + | 7.66164i | −1.42448 | + | 1.07284i | ||||
\(52\) | −1.31413 | + | 0.271228i | −0.182237 | + | 0.0376126i | ||||
\(53\) | −2.20958 | − | 0.915237i | −0.303509 | − | 0.125717i | 0.225731 | − | 0.974190i | \(-0.427523\pi\) |
−0.529240 | + | 0.848472i | \(0.677523\pi\) | |||||||
\(54\) | 14.7828 | − | 4.54240i | 2.01169 | − | 0.618142i | ||||
\(55\) | 1.21099 | − | 5.11945i | 0.163290 | − | 0.690306i | ||||
\(56\) | −12.5639 | − | 3.66380i | −1.67893 | − | 0.489596i | ||||
\(57\) | −21.4315 | − | 4.26299i | −2.83867 | − | 0.564646i | ||||
\(58\) | 5.30591 | + | 6.41811i | 0.696701 | + | 0.842739i | ||||
\(59\) | 0.257860 | + | 0.622529i | 0.0335705 | + | 0.0810463i | 0.939776 | − | 0.341792i | \(-0.111034\pi\) |
−0.906205 | + | 0.422838i | \(0.861034\pi\) | |||||||
\(60\) | 5.65068 | − | 12.6047i | 0.729500 | − | 1.62726i | ||||
\(61\) | −3.33081 | + | 2.22558i | −0.426467 | + | 0.284956i | −0.750224 | − | 0.661184i | \(-0.770054\pi\) |
0.323756 | + | 0.946140i | \(0.395054\pi\) | |||||||
\(62\) | 0.682311 | − | 7.19248i | 0.0866536 | − | 0.913446i | ||||
\(63\) | −16.8130 | + | 25.1625i | −2.11824 | + | 3.17017i | ||||
\(64\) | −1.39121 | + | 7.87810i | −0.173901 | + | 0.984763i | ||||
\(65\) | 1.02202 | + | 1.09823i | 0.126766 | + | 0.136218i | ||||
\(66\) | 9.84496 | + | 2.94785i | 1.21183 | + | 0.362855i | ||||
\(67\) | −0.662256 | −0.0809074 | −0.0404537 | − | 0.999181i | \(-0.512880\pi\) | ||||
−0.0404537 | + | 0.999181i | \(0.512880\pi\) | |||||||
\(68\) | −8.17371 | − | 1.09105i | −0.991209 | − | 0.132309i | ||||
\(69\) | − | 20.8260i | − | 2.50716i | ||||||
\(70\) | 3.79255 | + | 14.1319i | 0.453297 | + | 1.68909i | ||||
\(71\) | 2.50239 | − | 0.497757i | 0.296979 | − | 0.0590729i | −0.0443517 | − | 0.999016i | \(-0.514122\pi\) |
0.341331 | + | 0.939943i | \(0.389122\pi\) | |||||||
\(72\) | 16.4077 | + | 8.54401i | 1.93367 | + | 1.00692i | ||||
\(73\) | −0.683178 | + | 1.02245i | −0.0799600 | + | 0.119669i | −0.869294 | − | 0.494296i | \(-0.835426\pi\) |
0.789334 | + | 0.613964i | \(0.210426\pi\) | |||||||
\(74\) | −0.711304 | + | 7.49810i | −0.0826874 | + | 0.871637i | ||||
\(75\) | −15.3242 | + | 1.91770i | −1.76949 | + | 0.221437i | ||||
\(76\) | −7.94509 | − | 11.7077i | −0.911365 | − | 1.34296i | ||||
\(77\) | −10.0572 | + | 4.16585i | −1.14613 | + | 0.474742i | ||||
\(78\) | −2.25873 | + | 1.86731i | −0.255751 | + | 0.211432i | ||||
\(79\) | 0.742184 | − | 3.73121i | 0.0835022 | − | 0.419794i | −0.916311 | − | 0.400467i | \(-0.868848\pi\) |
0.999813 | − | 0.0193266i | \(-0.00615225\pi\) | |||||||
\(80\) | 8.33528 | − | 3.24393i | 0.931913 | − | 0.362682i | ||||
\(81\) | 10.0095 | − | 10.0095i | 1.11217 | − | 1.11217i | ||||
\(82\) | −5.81954 | + | 1.78820i | −0.642661 | + | 0.197474i | ||||
\(83\) | 5.07078 | + | 2.10039i | 0.556590 | + | 0.230547i | 0.643204 | − | 0.765695i | \(-0.277605\pi\) |
−0.0866138 | + | 0.996242i | \(0.527605\pi\) | |||||||
\(84\) | −27.9935 | + | 5.77770i | −3.05434 | + | 0.630398i | ||||
\(85\) | 3.70234 | + | 8.44350i | 0.401575 | + | 0.915826i | ||||
\(86\) | −0.307511 | − | 3.01125i | −0.0331598 | − | 0.324711i | ||||
\(87\) | 16.8031 | + | 6.96009i | 1.80149 | + | 0.746200i | ||||
\(88\) | 3.19992 | + | 5.83446i | 0.341112 | + | 0.621955i | ||||
\(89\) | 5.59049 | + | 5.59049i | 0.592591 | + | 0.592591i | 0.938330 | − | 0.345740i | \(-0.112372\pi\) |
−0.345740 | + | 0.938330i | \(0.612372\pi\) | |||||||
\(90\) | −1.36077 | − | 20.6377i | −0.143437 | − | 2.17541i | ||||
\(91\) | 0.605626 | − | 3.04469i | 0.0634869 | − | 0.319170i | ||||
\(92\) | 9.46662 | − | 9.60367i | 0.986964 | − | 1.00125i | ||||
\(93\) | −6.03854 | − | 14.5783i | −0.626167 | − | 1.51170i | ||||
\(94\) | −2.18582 | + | 1.17846i | −0.225450 | + | 0.121549i | ||||
\(95\) | −6.57474 | + | 14.3880i | −0.674554 | + | 1.47618i | ||||
\(96\) | 5.37160 | + | 16.6264i | 0.548237 | + | 1.69693i | ||||
\(97\) | 11.5356 | + | 7.70783i | 1.17126 | + | 0.782612i | 0.980014 | − | 0.198930i | \(-0.0637467\pi\) |
0.191247 | + | 0.981542i | \(0.438747\pi\) | |||||||
\(98\) | 12.8710 | − | 15.7988i | 1.30017 | − | 1.59592i | ||||
\(99\) | 15.0917 | − | 3.00193i | 1.51677 | − | 0.301705i | ||||
\(100\) | −7.93829 | − | 6.08141i | −0.793829 | − | 0.608141i | ||||
\(101\) | 9.64388 | 0.959602 | 0.479801 | − | 0.877377i | \(-0.340709\pi\) | ||||
0.479801 | + | 0.877377i | \(0.340709\pi\) | |||||||
\(102\) | −16.8900 | + | 6.25318i | −1.67236 | + | 0.619157i | ||||
\(103\) | −8.39042 | −0.826733 | −0.413367 | − | 0.910565i | \(-0.635647\pi\) | ||||
−0.413367 | + | 0.910565i | \(0.635647\pi\) | |||||||
\(104\) | −1.89038 | − | 0.165632i | −0.185367 | − | 0.0162416i | ||||
\(105\) | 21.7710 | + | 23.3944i | 2.12463 | + | 2.28306i | ||||
\(106\) | −2.62223 | − | 2.13628i | −0.254693 | − | 0.207494i | ||||
\(107\) | 2.87140 | − | 4.29736i | 0.277589 | − | 0.415441i | −0.666310 | − | 0.745675i | \(-0.732127\pi\) |
0.943899 | + | 0.330233i | \(0.107127\pi\) | |||||||
\(108\) | 21.8702 | − | 0.157174i | 2.10446 | − | 0.0151241i | ||||
\(109\) | 8.15843 | + | 12.2099i | 0.781436 | + | 1.16950i | 0.981826 | + | 0.189785i | \(0.0607790\pi\) |
−0.200390 | + | 0.979716i | \(0.564221\pi\) | |||||||
\(110\) | 3.71738 | − | 6.44450i | 0.354438 | − | 0.614459i | ||||
\(111\) | 6.29513 | + | 15.1978i | 0.597507 | + | 1.44251i | ||||
\(112\) | −15.5352 | − | 10.0603i | −1.46793 | − | 0.950612i | ||||
\(113\) | −2.15817 | + | 10.8499i | −0.203024 | + | 1.02067i | 0.736043 | + | 0.676935i | \(0.236692\pi\) |
−0.939067 | + | 0.343735i | \(0.888308\pi\) | |||||||
\(114\) | −27.3057 | − | 14.4693i | −2.55741 | − | 1.35517i | ||||
\(115\) | −14.6719 | − | 3.47059i | −1.36816 | − | 0.323634i | ||||
\(116\) | 4.58481 | + | 10.8475i | 0.425689 | + | 1.00717i | ||||
\(117\) | −1.67923 | + | 4.05401i | −0.155245 | + | 0.374794i | ||||
\(118\) | 0.0968101 | + | 0.947995i | 0.00891209 | + | 0.0872701i | ||||
\(119\) | 9.68694 | − | 16.4355i | 0.888000 | − | 1.50664i | ||||
\(120\) | 12.7687 | − | 14.7844i | 1.16561 | − | 1.34962i | ||||
\(121\) | −5.04896 | − | 2.09135i | −0.458996 | − | 0.190122i | ||||
\(122\) | −5.41536 | + | 1.66400i | −0.490284 | + | 0.150652i | ||||
\(123\) | −9.40229 | + | 9.40229i | −0.847776 | + | 0.847776i | ||||
\(124\) | 3.84208 | − | 9.46747i | 0.345029 | − | 0.850204i | ||||
\(125\) | −1.20271 | + | 11.1155i | −0.107574 | + | 0.994197i | ||||
\(126\) | −32.9854 | + | 27.2694i | −2.93857 | + | 2.42935i | ||||
\(127\) | −1.16418 | − | 2.81058i | −0.103304 | − | 0.249399i | 0.863773 | − | 0.503881i | \(-0.168095\pi\) |
−0.967078 | + | 0.254482i | \(0.918095\pi\) | |||||||
\(128\) | −5.08061 | + | 10.1088i | −0.449067 | + | 0.893498i | ||||
\(129\) | −3.67288 | − | 5.49685i | −0.323379 | − | 0.483971i | ||||
\(130\) | 0.939108 | + | 1.90245i | 0.0823652 | + | 0.166856i | ||||
\(131\) | −2.06466 | + | 3.08997i | −0.180390 | + | 0.269972i | −0.910634 | − | 0.413214i | \(-0.864406\pi\) |
0.730244 | + | 0.683186i | \(0.239406\pi\) | |||||||
\(132\) | 12.1420 | + | 7.98739i | 1.05682 | + | 0.695213i | ||||
\(133\) | 32.1050 | − | 6.38607i | 2.78385 | − | 0.553743i | ||||
\(134\) | −0.897213 | − | 0.268650i | −0.0775074 | − | 0.0232078i | ||||
\(135\) | −12.8459 | − | 20.8062i | −1.10560 | − | 1.79071i | ||||
\(136\) | −10.6310 | − | 4.79388i | −0.911603 | − | 0.411071i | ||||
\(137\) | − | 18.1100i | − | 1.54724i | −0.633647 | − | 0.773622i | \(-0.718443\pi\) | ||
0.633647 | − | 0.773622i | \(-0.281557\pi\) | |||||||
\(138\) | 8.44827 | − | 28.2148i | 0.719165 | − | 2.40180i | ||||
\(139\) | −3.76434 | − | 18.9246i | −0.319287 | − | 1.60516i | −0.723383 | − | 0.690447i | \(-0.757414\pi\) |
0.404096 | − | 0.914717i | \(-0.367586\pi\) | |||||||
\(140\) | −0.594648 | + | 20.6842i | −0.0502569 | + | 1.74813i | ||||
\(141\) | −3.01321 | + | 4.50959i | −0.253758 | + | 0.379776i | ||||
\(142\) | 3.59212 | + | 0.340765i | 0.301444 | + | 0.0285964i | ||||
\(143\) | −1.31242 | + | 0.876931i | −0.109750 | + | 0.0733327i | ||||
\(144\) | 18.7630 | + | 18.2312i | 1.56358 | + | 1.51927i | ||||
\(145\) | 7.70355 | − | 10.6779i | 0.639745 | − | 0.886751i | ||||
\(146\) | −1.34032 | + | 1.10806i | −0.110926 | + | 0.0917037i | ||||
\(147\) | 8.68294 | − | 43.6521i | 0.716157 | − | 3.60036i | ||||
\(148\) | −4.00534 | + | 9.86977i | −0.329237 | + | 0.811290i | ||||
\(149\) | −12.0584 | − | 12.0584i | −0.987865 | − | 0.987865i | 0.0120627 | − | 0.999927i | \(-0.496160\pi\) |
−0.999927 | + | 0.0120627i | \(0.996160\pi\) | |||||||
\(150\) | −21.5390 | − | 3.61834i | −1.75865 | − | 0.295437i | ||||
\(151\) | 12.5641 | + | 5.20422i | 1.02245 | + | 0.423514i | 0.829983 | − | 0.557789i | \(-0.188350\pi\) |
0.192470 | + | 0.981303i | \(0.438350\pi\) | |||||||
\(152\) | −6.01458 | − | 19.0843i | −0.487846 | − | 1.54794i | ||||
\(153\) | −17.9618 | + | 20.1141i | −1.45213 | + | 1.62613i | ||||
\(154\) | −15.3153 | + | 1.56401i | −1.23414 | + | 0.126032i | ||||
\(155\) | −11.2767 | + | 1.82471i | −0.905766 | + | 0.146564i | ||||
\(156\) | −3.81758 | + | 1.61353i | −0.305651 | + | 0.129186i | ||||
\(157\) | −3.51971 | − | 3.51971i | −0.280903 | − | 0.280903i | 0.552566 | − | 0.833469i | \(-0.313649\pi\) |
−0.833469 | + | 0.552566i | \(0.813649\pi\) | |||||||
\(158\) | 2.51910 | − | 4.75391i | 0.200409 | − | 0.378201i | ||||
\(159\) | −7.24521 | − | 1.44116i | −0.574582 | − | 0.114292i | ||||
\(160\) | 12.6084 | − | 1.01354i | 0.996785 | − | 0.0801276i | ||||
\(161\) | 11.9390 | + | 28.8232i | 0.940921 | + | 2.27159i | ||||
\(162\) | 17.6211 | − | 9.50026i | 1.38445 | − | 0.746411i | ||||
\(163\) | −6.27516 | + | 4.19293i | −0.491509 | + | 0.328416i | −0.776503 | − | 0.630114i | \(-0.783008\pi\) |
0.284994 | + | 0.958529i | \(0.408008\pi\) | |||||||
\(164\) | −8.60962 | + | 0.0618746i | −0.672299 | + | 0.00483160i | ||||
\(165\) | 0.583664 | − | 16.2386i | 0.0454382 | − | 1.26417i | ||||
\(166\) | 6.01777 | + | 4.90258i | 0.467070 | + | 0.380514i | ||||
\(167\) | 6.97603 | − | 1.38762i | 0.539822 | − | 0.107377i | 0.0823535 | − | 0.996603i | \(-0.473756\pi\) |
0.457468 | + | 0.889226i | \(0.348756\pi\) | |||||||
\(168\) | −40.2690 | − | 3.52829i | −3.10682 | − | 0.272214i | ||||
\(169\) | 12.5499i | 0.965375i | ||||||||
\(170\) | 1.59069 | + | 12.9410i | 0.122001 | + | 0.992530i | ||||
\(171\) | −46.2699 | −3.53835 | ||||||||
\(172\) | 0.804929 | − | 4.20434i | 0.0613753 | − | 0.320578i | ||||
\(173\) | 0.767815 | + | 3.86007i | 0.0583759 | + | 0.293475i | 0.998934 | − | 0.0461568i | \(-0.0146974\pi\) |
−0.940558 | + | 0.339632i | \(0.889697\pi\) | |||||||
\(174\) | 19.9412 | + | 16.2458i | 1.51174 | + | 1.23159i | ||||
\(175\) | 20.1093 | − | 11.4390i | 1.52012 | − | 0.864709i | ||||
\(176\) | 1.96840 | + | 9.20251i | 0.148374 | + | 0.693665i | ||||
\(177\) | 1.15629 | + | 1.73051i | 0.0869120 | + | 0.130073i | ||||
\(178\) | 5.30608 | + | 9.84174i | 0.397707 | + | 0.737670i | ||||
\(179\) | −0.0746106 | + | 0.0309047i | −0.00557666 | + | 0.00230993i | −0.385470 | − | 0.922720i | \(-0.625961\pi\) |
0.379893 | + | 0.925030i | \(0.375961\pi\) | |||||||
\(180\) | 6.52834 | − | 28.5117i | 0.486593 | − | 2.12513i | ||||
\(181\) | 3.90988 | − | 19.6563i | 0.290619 | − | 1.46104i | −0.509121 | − | 0.860695i | \(-0.670030\pi\) |
0.799741 | − | 0.600346i | \(-0.204970\pi\) | |||||||
\(182\) | 2.05560 | − | 3.87922i | 0.152371 | − | 0.287547i | ||||
\(183\) | −8.74928 | + | 8.74928i | −0.646765 | + | 0.646765i | ||||
\(184\) | 16.7210 | − | 9.17069i | 1.23269 | − | 0.676072i | ||||
\(185\) | 11.7559 | − | 1.90224i | 0.864308 | − | 0.139856i | ||||
\(186\) | −2.26709 | − | 22.2001i | −0.166231 | − | 1.62779i | ||||
\(187\) | −9.39195 | + | 2.42634i | −0.686807 | + | 0.177431i | ||||
\(188\) | −3.43937 | + | 0.709866i | −0.250842 | + | 0.0517723i | ||||
\(189\) | −19.3632 | + | 46.7469i | −1.40847 | + | 3.40034i | ||||
\(190\) | −14.7440 | + | 16.8255i | −1.06964 | + | 1.22065i | ||||
\(191\) | 7.64238 | − | 7.64238i | 0.552983 | − | 0.552983i | −0.374317 | − | 0.927301i | \(-0.622123\pi\) |
0.927301 | + | 0.374317i | \(0.122123\pi\) | |||||||
\(192\) | 0.532699 | + | 24.7043i | 0.0384442 | + | 1.78288i | ||||
\(193\) | 26.3626 | + | 5.24384i | 1.89762 | + | 0.377460i | 0.998218 | − | 0.0596648i | \(-0.0190032\pi\) |
0.899401 | + | 0.437125i | \(0.144003\pi\) | |||||||
\(194\) | 12.5015 | + | 15.1220i | 0.897554 | + | 1.08569i | ||||
\(195\) | 3.75788 | + | 2.71111i | 0.269107 | + | 0.194147i | ||||
\(196\) | 23.8464 | − | 16.1827i | 1.70331 | − | 1.15591i | ||||
\(197\) | 2.39931 | + | 3.59083i | 0.170944 | + | 0.255836i | 0.907043 | − | 0.421038i | \(-0.138334\pi\) |
−0.736099 | + | 0.676874i | \(0.763334\pi\) | |||||||
\(198\) | 21.6638 | + | 2.05512i | 1.53958 | + | 0.146051i | ||||
\(199\) | 13.0589 | + | 8.72570i | 0.925723 | + | 0.618548i | 0.924389 | − | 0.381451i | \(-0.124575\pi\) |
0.00133382 | + | 0.999999i | \(0.499575\pi\) | |||||||
\(200\) | −8.28769 | − | 11.4592i | −0.586028 | − | 0.810291i | ||||
\(201\) | −2.00624 | + | 0.399066i | −0.141509 | + | 0.0281479i | ||||
\(202\) | 13.0654 | + | 3.91213i | 0.919277 | + | 0.275256i | ||||
\(203\) | −27.2455 | −1.91226 | ||||||||
\(204\) | −25.4189 | + | 1.62014i | −1.77968 | + | 0.113432i | ||||
\(205\) | 5.05703 | + | 8.19074i | 0.353198 | + | 0.572066i | ||||
\(206\) | −11.3672 | − | 3.40365i | −0.791991 | − | 0.237144i | ||||
\(207\) | −8.60326 | − | 43.2515i | −0.597968 | − | 3.00619i | ||||
\(208\) | −2.49387 | − | 0.991247i | −0.172919 | − | 0.0687306i | ||||
\(209\) | −13.8389 | − | 9.24687i | −0.957258 | − | 0.639620i | ||||
\(210\) | 20.0049 | + | 40.5259i | 1.38047 | + | 2.79656i | ||||
\(211\) | 10.8875 | − | 7.27478i | 0.749525 | − | 0.500817i | −0.121175 | − | 0.992631i | \(-0.538666\pi\) |
0.870700 | + | 0.491815i | \(0.163666\pi\) | |||||||
\(212\) | −2.68595 | − | 3.95793i | −0.184472 | − | 0.271832i | ||||
\(213\) | 7.28082 | − | 3.01581i | 0.498873 | − | 0.206640i | ||||
\(214\) | 5.63339 | − | 4.65718i | 0.385091 | − | 0.318359i | ||||
\(215\) | −4.48459 | + | 1.67150i | −0.305846 | + | 0.113996i | ||||
\(216\) | 29.6932 | + | 8.65892i | 2.02037 | + | 0.589165i | ||||
\(217\) | 16.7146 | + | 16.7146i | 1.13466 | + | 1.13466i | ||||
\(218\) | 6.09983 | + | 19.8514i | 0.413133 | + | 1.34451i | ||||
\(219\) | −1.45351 | + | 3.50908i | −0.0982191 | + | 0.237122i | ||||
\(220\) | 7.65052 | − | 7.22292i | 0.515798 | − | 0.486969i | ||||
\(221\) | 0.912679 | − | 2.61134i | 0.0613934 | − | 0.175658i | ||||
\(222\) | 2.36342 | + | 23.1434i | 0.158623 | + | 1.55328i | ||||
\(223\) | −8.19765 | − | 3.39558i | −0.548955 | − | 0.227385i | 0.0909273 | − | 0.995858i | \(-0.471017\pi\) |
−0.639882 | + | 0.768473i | \(0.721017\pi\) | |||||||
\(224\) | −16.9657 | − | 19.9316i | −1.13357 | − | 1.33173i | ||||
\(225\) | −31.0332 | + | 10.3131i | −2.06888 | + | 0.687543i | ||||
\(226\) | −7.32520 | + | 13.8237i | −0.487265 | + | 0.919542i | ||||
\(227\) | −15.6337 | − | 3.10973i | −1.03764 | − | 0.206400i | −0.353262 | − | 0.935525i | \(-0.614927\pi\) |
−0.684381 | + | 0.729125i | \(0.739927\pi\) | |||||||
\(228\) | −31.1238 | − | 30.6796i | −2.06122 | − | 2.03181i | ||||
\(229\) | −11.5640 | + | 4.78996i | −0.764170 | + | 0.316530i | −0.730509 | − | 0.682904i | \(-0.760717\pi\) |
−0.0336619 | + | 0.999433i | \(0.510717\pi\) | |||||||
\(230\) | −18.4694 | − | 10.6537i | −1.21783 | − | 0.702483i | ||||
\(231\) | −27.9572 | + | 18.6804i | −1.83945 | + | 1.22908i | ||||
\(232\) | 1.81102 | + | 16.5560i | 0.118899 | + | 1.08695i | ||||
\(233\) | 8.30073 | + | 5.54637i | 0.543799 | + | 0.363355i | 0.796925 | − | 0.604078i | \(-0.206459\pi\) |
−0.253126 | + | 0.967433i | \(0.581459\pi\) | |||||||
\(234\) | −3.91954 | + | 4.81112i | −0.256228 | + | 0.314513i | ||||
\(235\) | 2.67485 | + | 2.87431i | 0.174488 | + | 0.187499i | ||||
\(236\) | −0.253406 | + | 1.32360i | −0.0164953 | + | 0.0861591i | ||||
\(237\) | − | 11.7506i | − | 0.763282i | ||||||
\(238\) | 19.7909 | − | 18.3369i | 1.28285 | − | 1.18860i | ||||
\(239\) | − | 14.8681i | − | 0.961737i | −0.876793 | − | 0.480868i | \(-0.840322\pi\) | ||
0.876793 | − | 0.480868i | \(-0.159678\pi\) | |||||||
\(240\) | 23.2962 | − | 14.8499i | 1.50376 | − | 0.958556i | ||||
\(241\) | 0.111847 | + | 0.562292i | 0.00720469 | + | 0.0362204i | 0.984220 | − | 0.176947i | \(-0.0566221\pi\) |
−0.977016 | + | 0.213167i | \(0.931622\pi\) | |||||||
\(242\) | −5.99187 | − | 4.88148i | −0.385172 | − | 0.313793i | ||||
\(243\) | 6.06506 | − | 9.07700i | 0.389074 | − | 0.582290i | ||||
\(244\) | −8.01167 | + | 0.0575773i | −0.512894 | + | 0.00368601i | ||||
\(245\) | −29.3058 | − | 13.3916i | −1.87228 | − | 0.855556i | ||||
\(246\) | −16.5522 | + | 8.92395i | −1.05533 | + | 0.568970i | ||||
\(247\) | 4.38507 | − | 1.81635i | 0.279015 | − | 0.115572i | ||||
\(248\) | 9.04576 | − | 11.2678i | 0.574406 | − | 0.715507i | ||||
\(249\) | 16.6271 | + | 3.30734i | 1.05370 | + | 0.209594i | ||||
\(250\) | −6.13851 | + | 14.5712i | −0.388233 | + | 0.921561i | ||||
\(251\) | 6.76542 | − | 6.76542i | 0.427029 | − | 0.427029i | −0.460586 | − | 0.887615i | \(-0.652361\pi\) |
0.887615 | + | 0.460586i | \(0.152361\pi\) | |||||||
\(252\) | −55.7502 | + | 23.5633i | −3.51193 | + | 1.48435i | ||||
\(253\) | 6.07049 | − | 14.6555i | 0.381649 | − | 0.921381i | ||||
\(254\) | −0.437077 | − | 4.28000i | −0.0274246 | − | 0.268551i | ||||
\(255\) | 16.3038 | + | 23.3478i | 1.02098 | + | 1.46209i | ||||
\(256\) | −10.9839 | + | 11.6342i | −0.686491 | + | 0.727139i | ||||
\(257\) | 11.5256 | − | 27.8252i | 0.718946 | − | 1.73569i | 0.0426152 | − | 0.999092i | \(-0.486431\pi\) |
0.676331 | − | 0.736598i | \(-0.263569\pi\) | |||||||
\(258\) | −2.74611 | − | 8.93699i | −0.170965 | − | 0.556392i | ||||
\(259\) | −17.4249 | − | 17.4249i | −1.08273 | − | 1.08273i | ||||
\(260\) | 0.500543 | + | 2.95837i | 0.0310424 | + | 0.183470i | ||||
\(261\) | 37.7720 | + | 7.51332i | 2.33803 | + | 0.465063i | ||||
\(262\) | −4.05064 | + | 3.34870i | −0.250249 | + | 0.206884i | ||||
\(263\) | −1.74904 | − | 4.22255i | −0.107850 | − | 0.260374i | 0.860736 | − | 0.509052i | \(-0.170004\pi\) |
−0.968586 | + | 0.248678i | \(0.920004\pi\) | |||||||
\(264\) | 13.2096 | + | 15.7467i | 0.812995 | + | 0.969142i | ||||
\(265\) | −2.22268 | + | 4.86406i | −0.136538 | + | 0.298797i | ||||
\(266\) | 46.0859 | + | 4.37191i | 2.82571 | + | 0.268059i | ||||
\(267\) | 20.3046 | + | 13.5671i | 1.24262 | + | 0.830293i | ||||
\(268\) | −1.10655 | − | 0.727926i | −0.0675933 | − | 0.0444651i | ||||
\(269\) | 2.06052 | + | 10.3590i | 0.125632 | + | 0.631596i | 0.991369 | + | 0.131097i | \(0.0418501\pi\) |
−0.865737 | + | 0.500499i | \(0.833150\pi\) | |||||||
\(270\) | −8.96321 | − | 33.3989i | −0.545483 | − | 2.03260i | ||||
\(271\) | −21.4104 | −1.30059 | −0.650296 | − | 0.759681i | \(-0.725355\pi\) | ||||
−0.650296 | + | 0.759681i | \(0.725355\pi\) | |||||||
\(272\) | −12.4581 | − | 10.8072i | −0.755382 | − | 0.655285i | ||||
\(273\) | − | 9.58853i | − | 0.580324i | ||||||
\(274\) | 7.34650 | − | 24.5352i | 0.443818 | − | 1.48222i | ||||
\(275\) | −11.3428 | − | 3.11729i | −0.683995 | − | 0.187980i | ||||
\(276\) | 22.8912 | − | 34.7979i | 1.37789 | − | 2.09458i | ||||
\(277\) | 8.62180 | + | 5.76090i | 0.518034 | + | 0.346139i | 0.786942 | − | 0.617027i | \(-0.211663\pi\) |
−0.268908 | + | 0.963166i | \(0.586663\pi\) | |||||||
\(278\) | 2.57707 | − | 27.1658i | 0.154562 | − | 1.62930i | ||||
\(279\) | −18.5632 | − | 27.7817i | −1.11135 | − | 1.66325i | ||||
\(280\) | −9.19635 | + | 27.7814i | −0.549587 | + | 1.66026i | ||||
\(281\) | −26.5442 | + | 10.9950i | −1.58349 | + | 0.655905i | −0.988962 | − | 0.148168i | \(-0.952662\pi\) |
−0.594531 | + | 0.804072i | \(0.702662\pi\) | |||||||
\(282\) | −5.91161 | + | 4.88719i | −0.352031 | + | 0.291028i | ||||
\(283\) | 2.50060 | − | 12.5713i | 0.148645 | − | 0.747289i | −0.832501 | − | 0.554023i | \(-0.813092\pi\) |
0.981146 | − | 0.193266i | \(-0.0619080\pi\) | |||||||
\(284\) | 4.72832 | + | 1.91884i | 0.280574 | + | 0.113862i | ||||
\(285\) | −11.2475 | + | 47.5489i | −0.666246 | + | 2.81656i | ||||
\(286\) | −2.13378 | + | 0.655658i | −0.126173 | + | 0.0387698i | ||||
\(287\) | 7.62269 | − | 18.4028i | 0.449953 | − | 1.08628i | ||||
\(288\) | 18.0241 | + | 32.3108i | 1.06208 | + | 1.90393i | ||||
\(289\) | 10.5896 | − | 13.2989i | 0.622919 | − | 0.782286i | ||||
\(290\) | 14.7682 | − | 11.3412i | 0.867220 | − | 0.665980i | ||||
\(291\) | 39.5906 | + | 16.3989i | 2.32084 | + | 0.961323i | ||||
\(292\) | −2.26535 | + | 0.957467i | −0.132569 | + | 0.0560315i | ||||
\(293\) | −15.0394 | − | 15.0394i | −0.878613 | − | 0.878613i | 0.114778 | − | 0.993391i | \(-0.463384\pi\) |
−0.993391 | + | 0.114778i | \(0.963384\pi\) | |||||||
\(294\) | 29.4714 | − | 55.6169i | 1.71881 | − | 3.24364i | ||||
\(295\) | 1.41183 | − | 0.526219i | 0.0821999 | − | 0.0306377i | ||||
\(296\) | −9.43013 | + | 11.7466i | −0.548115 | + | 0.682758i | ||||
\(297\) | 23.7690 | − | 9.84543i | 1.37922 | − | 0.571290i | ||||
\(298\) | −11.4450 | − | 21.2282i | −0.662989 | − | 1.22972i | ||||
\(299\) | 2.51321 | + | 3.76128i | 0.145343 | + | 0.217521i | ||||
\(300\) | −27.7128 | − | 13.6396i | −1.60000 | − | 0.787480i | ||||
\(301\) | 8.23444 | + | 5.50207i | 0.474625 | + | 0.317134i | ||||
\(302\) | 14.9105 | + | 12.1473i | 0.858004 | + | 0.699001i | ||||
\(303\) | 29.2152 | − | 5.81126i | 1.67837 | − | 0.333848i | ||||
\(304\) | −0.406716 | − | 28.2950i | −0.0233268 | − | 1.62283i | ||||
\(305\) | 4.70581 | + | 7.62188i | 0.269454 | + | 0.436427i | ||||
\(306\) | −32.4939 | + | 19.9639i | −1.85755 | + | 1.14126i | ||||
\(307\) | 26.9859i | 1.54017i | 0.637943 | + | 0.770083i | \(0.279785\pi\) | ||||
−0.637943 | + | 0.770083i | \(0.720215\pi\) | |||||||
\(308\) | −21.3834 | − | 4.09389i | −1.21843 | − | 0.233271i | ||||
\(309\) | −25.4180 | + | 5.05595i | −1.44598 | + | 0.287623i | ||||
\(310\) | −16.0177 | − | 2.10240i | −0.909744 | − | 0.119409i | ||||
\(311\) | −8.78046 | + | 13.1409i | −0.497894 | + | 0.745151i | −0.992270 | − | 0.124097i | \(-0.960397\pi\) |
0.494376 | + | 0.869248i | \(0.335397\pi\) | |||||||
\(312\) | −5.82655 | + | 0.637353i | −0.329863 | + | 0.0360830i | ||||
\(313\) | −16.3030 | − | 24.3992i | −0.921501 | − | 1.37912i | −0.925343 | − | 0.379131i | \(-0.876223\pi\) |
0.00384177 | − | 0.999993i | \(-0.498777\pi\) | |||||||
\(314\) | −3.34065 | − | 6.19625i | −0.188524 | − | 0.349675i | ||||
\(315\) | 54.8783 | + | 39.5918i | 3.09204 | + | 2.23075i | ||||
\(316\) | 5.34130 | − | 5.41863i | 0.300472 | − | 0.304822i | ||||
\(317\) | 12.7689 | + | 2.53989i | 0.717171 | + | 0.142654i | 0.540169 | − | 0.841556i | \(-0.318360\pi\) |
0.177002 | + | 0.984211i | \(0.443360\pi\) | |||||||
\(318\) | −9.23107 | − | 4.89155i | −0.517653 | − | 0.274304i | ||||
\(319\) | 9.79575 | + | 9.79575i | 0.548457 | + | 0.548457i | ||||
\(320\) | 17.4929 | + | 3.74159i | 0.977881 | + | 0.209161i | ||||
\(321\) | 6.10911 | − | 14.7487i | 0.340977 | − | 0.823192i | ||||
\(322\) | 4.48232 | + | 43.8923i | 0.249790 | + | 2.44602i | ||||
\(323\) | 29.1224 | − | 1.64614i | 1.62041 | − | 0.0915938i | ||||
\(324\) | 27.7267 | − | 5.72263i | 1.54037 | − | 0.317924i | ||||
\(325\) | 2.53621 | − | 2.19562i | 0.140684 | − | 0.121791i | ||||
\(326\) | −10.2024 | + | 3.13494i | −0.565058 | + | 0.173628i | ||||
\(327\) | 32.0727 | + | 32.0727i | 1.77362 | + | 1.77362i | ||||
\(328\) | −11.6893 | − | 3.40875i | −0.645433 | − | 0.188216i | ||||
\(329\) | 1.58506 | − | 7.96864i | 0.0873873 | − | 0.439326i | ||||
\(330\) | 7.37807 | − | 21.7630i | 0.406149 | − | 1.19802i | ||||
\(331\) | 3.67576 | + | 8.87408i | 0.202038 | + | 0.487763i | 0.992128 | − | 0.125228i | \(-0.0399661\pi\) |
−0.790090 | + | 0.612991i | \(0.789966\pi\) | |||||||
\(332\) | 6.16401 | + | 9.08310i | 0.338294 | + | 0.498500i | ||||
\(333\) | 19.3519 | + | 28.9622i | 1.06048 | + | 1.58712i | ||||
\(334\) | 10.0139 | + | 0.949966i | 0.547937 | + | 0.0519798i | ||||
\(335\) | −0.0531918 | + | 1.47989i | −0.00290618 | + | 0.0808552i | ||||
\(336\) | −53.1245 | − | 21.1155i | −2.89818 | − | 1.15195i | ||||
\(337\) | 1.51971 | + | 7.64009i | 0.0827838 | + | 0.416182i | 0.999848 | + | 0.0174423i | \(0.00555234\pi\) |
−0.917064 | + | 0.398740i | \(0.869448\pi\) | |||||||
\(338\) | −5.09097 | + | 17.0024i | −0.276912 | + | 0.924807i | ||||
\(339\) | 34.1691i | 1.85581i | ||||||||
\(340\) | −3.09459 | + | 18.1776i | −0.167828 | + | 0.985816i | ||||
\(341\) | − | 12.0190i | − | 0.650868i | ||||||
\(342\) | −62.6858 | − | 18.7698i | −3.38966 | − | 1.01496i | ||||
\(343\) | 6.68845 | + | 33.6251i | 0.361143 | + | 1.81559i | ||||
\(344\) | 2.79603 | − | 5.36945i | 0.150752 | − | 0.289501i | ||||
\(345\) | −46.5384 | − | 1.67273i | −2.50554 | − | 0.0900568i | ||||
\(346\) | −0.525647 | + | 5.54103i | −0.0282590 | + | 0.297888i | ||||
\(347\) | −7.66148 | − | 11.4662i | −0.411290 | − | 0.615538i | 0.566767 | − | 0.823878i | \(-0.308194\pi\) |
−0.978057 | + | 0.208340i | \(0.933194\pi\) | |||||||
\(348\) | 20.4258 | + | 30.0988i | 1.09494 | + | 1.61347i | ||||
\(349\) | −1.56644 | − | 3.78172i | −0.0838496 | − | 0.202431i | 0.876394 | − | 0.481595i | \(-0.159943\pi\) |
−0.960243 | + | 0.279165i | \(0.909943\pi\) | |||||||
\(350\) | 31.8842 | − | 7.33987i | 1.70428 | − | 0.392333i | ||||
\(351\) | −1.43132 | + | 7.19572i | −0.0763981 | + | 0.384079i | ||||
\(352\) | −1.06633 | + | 13.2659i | −0.0568353 | + | 0.707076i | ||||
\(353\) | −5.12718 | − | 5.12718i | −0.272892 | − | 0.272892i | 0.557371 | − | 0.830263i | \(-0.311810\pi\) |
−0.830263 | + | 0.557371i | \(0.811810\pi\) | |||||||
\(354\) | 0.864525 | + | 2.81352i | 0.0459490 | + | 0.149537i | ||||
\(355\) | −0.911310 | − | 5.63189i | −0.0483673 | − | 0.298910i | ||||
\(356\) | 3.19620 | + | 15.4859i | 0.169398 | + | 0.820751i | ||||
\(357\) | 19.4419 | − | 55.6268i | 1.02897 | − | 2.94408i | ||||
\(358\) | −0.113618 | + | 0.0116028i | −0.00600490 | + | 0.000613226i | ||||
\(359\) | −0.508478 | + | 1.22757i | −0.0268364 | + | 0.0647889i | −0.936730 | − | 0.350054i | \(-0.886163\pi\) |
0.909893 | + | 0.414843i | \(0.136163\pi\) | |||||||
\(360\) | 20.4105 | − | 35.9789i | 1.07573 | − | 1.89625i | ||||
\(361\) | 21.9545 | + | 21.9545i | 1.15550 | + | 1.15550i | ||||
\(362\) | 13.2708 | − | 25.0440i | 0.697497 | − | 1.31628i | ||||
\(363\) | −16.5555 | − | 3.29310i | −0.868941 | − | 0.172843i | ||||
\(364\) | 4.35853 | − | 4.42163i | 0.228449 | − | 0.231757i | ||||
\(365\) | 2.22992 | + | 1.60877i | 0.116719 | + | 0.0842068i | ||||
\(366\) | −15.4026 | + | 8.30416i | −0.805107 | + | 0.434065i | ||||
\(367\) | 4.29723 | + | 6.43125i | 0.224313 | + | 0.335709i | 0.926507 | − | 0.376277i | \(-0.122796\pi\) |
−0.702194 | + | 0.711986i | \(0.747796\pi\) | |||||||
\(368\) | 26.3736 | − | 5.64126i | 1.37482 | − | 0.294071i | ||||
\(369\) | −15.6426 | + | 23.4108i | −0.814320 | + | 1.21872i | ||||
\(370\) | 16.6983 | + | 2.19174i | 0.868104 | + | 0.113943i | ||||
\(371\) | 10.8535 | − | 2.15890i | 0.563487 | − | 0.112084i | ||||
\(372\) | 5.93424 | − | 30.9960i | 0.307676 | − | 1.60707i | ||||
\(373\) | − | 24.3172i | − | 1.25910i | −0.776960 | − | 0.629549i | \(-0.783240\pi\) | ||
0.776960 | − | 0.629549i | \(-0.216760\pi\) | |||||||
\(374\) | −13.7083 | − | 0.522768i | −0.708841 | − | 0.0270317i | ||||
\(375\) | 3.05451 | + | 34.3980i | 0.157734 | + | 1.77630i | ||||
\(376\) | −4.94757 | − | 0.433497i | −0.255151 | − | 0.0223559i | ||||
\(377\) | −3.87465 | + | 0.770715i | −0.199554 | + | 0.0396938i | ||||
\(378\) | −45.1963 | + | 55.4771i | −2.32464 | + | 2.85343i | ||||
\(379\) | 21.8652 | + | 14.6099i | 1.12314 | + | 0.750459i | 0.971279 | − | 0.237943i | \(-0.0764732\pi\) |
0.151862 | + | 0.988402i | \(0.451473\pi\) | |||||||
\(380\) | −26.8004 | + | 16.8140i | −1.37483 | + | 0.862538i | ||||
\(381\) | −5.22040 | − | 7.81287i | −0.267449 | − | 0.400266i | ||||
\(382\) | 13.4540 | − | 7.25358i | 0.688365 | − | 0.371125i | ||||
\(383\) | −12.7732 | + | 5.29085i | −0.652682 | + | 0.270350i | −0.684355 | − | 0.729149i | \(-0.739916\pi\) |
0.0316735 | + | 0.999498i | \(0.489916\pi\) | |||||||
\(384\) | −9.29982 | + | 33.6851i | −0.474580 | + | 1.71898i | ||||
\(385\) | 8.50132 | + | 22.8088i | 0.433267 | + | 1.16244i | ||||
\(386\) | 33.5884 | + | 17.7985i | 1.70960 | + | 0.905919i | ||||
\(387\) | −9.89859 | − | 9.89859i | −0.503174 | − | 0.503174i | ||||
\(388\) | 10.8024 | + | 25.5583i | 0.548411 | + | 1.29753i | ||||
\(389\) | 28.1359 | + | 11.6543i | 1.42655 | + | 0.590895i | 0.956496 | − | 0.291745i | \(-0.0942360\pi\) |
0.470050 | + | 0.882640i | \(0.344236\pi\) | |||||||
\(390\) | 3.99133 | + | 5.19739i | 0.202109 | + | 0.263180i | ||||
\(391\) | 6.95366 | + | 26.9165i | 0.351662 | + | 1.36123i | ||||
\(392\) | 38.8714 | − | 12.2506i | 1.96330 | − | 0.618749i | ||||
\(393\) | −4.39270 | + | 10.6049i | −0.221582 | + | 0.534947i | ||||
\(394\) | 1.79390 | + | 5.83810i | 0.0903755 | + | 0.294119i | ||||
\(395\) | −8.27825 | − | 1.95819i | −0.416524 | − | 0.0985273i | ||||
\(396\) | 28.5161 | + | 11.5724i | 1.43299 | + | 0.581533i | ||||
\(397\) | −5.81201 | + | 29.2189i | −0.291696 | + | 1.46646i | 0.505547 | + | 0.862799i | \(0.331291\pi\) |
−0.797244 | + | 0.603658i | \(0.793709\pi\) | |||||||
\(398\) | 14.1524 | + | 17.1189i | 0.709394 | + | 0.858094i | ||||
\(399\) | 93.4107 | − | 38.6920i | 4.67638 | − | 1.93702i | ||||
\(400\) | −6.57948 | − | 18.8868i | −0.328974 | − | 0.944339i | ||||
\(401\) | −0.979570 | − | 1.46603i | −0.0489174 | − | 0.0732100i | 0.806205 | − | 0.591637i | \(-0.201518\pi\) |
−0.855122 | + | 0.518427i | \(0.826518\pi\) | |||||||
\(402\) | −2.87991 | − | 0.273201i | −0.143637 | − | 0.0136260i | ||||
\(403\) | 2.84985 | + | 1.90421i | 0.141961 | + | 0.0948553i | ||||
\(404\) | 16.1138 | + | 10.6002i | 0.801691 | + | 0.527379i | ||||
\(405\) | −21.5635 | − | 23.1714i | −1.07150 | − | 1.15140i | ||||
\(406\) | −36.9118 | − | 11.0524i | −1.83190 | − | 0.548521i | ||||
\(407\) | 12.5298i | 0.621077i | ||||||||
\(408\) | −35.0944 | − | 8.11648i | −1.73743 | − | 0.401825i | ||||
\(409\) | 20.4889 | 1.01311 | 0.506554 | − | 0.862208i | \(-0.330919\pi\) | ||||
0.506554 | + | 0.862208i | \(0.330919\pi\) | |||||||
\(410\) | 3.52853 | + | 13.1481i | 0.174262 | + | 0.649339i | ||||
\(411\) | −10.9128 | − | 54.8626i | −0.538291 | − | 2.70617i | ||||
\(412\) | −14.0194 | − | 9.22243i | −0.690686 | − | 0.454356i | ||||
\(413\) | −2.59235 | − | 1.73215i | −0.127561 | − | 0.0852336i | ||||
\(414\) | 5.88980 | − | 62.0865i | 0.289468 | − | 3.05138i | ||||
\(415\) | 5.10086 | − | 11.1626i | 0.250391 | − | 0.547950i | ||||
\(416\) | −2.97655 | − | 2.35459i | −0.145938 | − | 0.115443i | ||||
\(417\) | −22.8074 | − | 55.0619i | −1.11688 | − | 2.69639i | ||||
\(418\) | −14.9977 | − | 18.1414i | −0.733560 | − | 0.887325i | ||||
\(419\) | −21.0452 | − | 4.18615i | −1.02812 | − | 0.204507i | −0.347916 | − | 0.937526i | \(-0.613111\pi\) |
−0.680208 | + | 0.733019i | \(0.738111\pi\) | |||||||
\(420\) | 10.6626 | + | 63.0191i | 0.520280 | + | 3.07502i | ||||
\(421\) | 6.24485 | + | 6.24485i | 0.304355 | + | 0.304355i | 0.842715 | − | 0.538360i | \(-0.180956\pi\) |
−0.538360 | + | 0.842715i | \(0.680956\pi\) | |||||||
\(422\) | 17.7013 | − | 5.43915i | 0.861684 | − | 0.264774i | ||||
\(423\) | −4.39492 | + | 10.6103i | −0.213688 | + | 0.515889i | ||||
\(424\) | −2.03331 | − | 6.45172i | −0.0987462 | − | 0.313323i | ||||
\(425\) | 19.1654 | − | 7.59517i | 0.929659 | − | 0.368420i | ||||
\(426\) | 11.0873 | − | 1.13225i | 0.537183 | − | 0.0548576i | ||||
\(427\) | 7.09327 | − | 17.1247i | 0.343267 | − | 0.828721i | ||||
\(428\) | 9.52126 | − | 4.02424i | 0.460228 | − | 0.194519i | ||||
\(429\) | −3.44742 | + | 3.44742i | −0.166443 | + | 0.166443i | ||||
\(430\) | −6.75371 | + | 0.445312i | −0.325693 | + | 0.0214748i | ||||
\(431\) | 7.66662 | + | 1.52499i | 0.369288 | + | 0.0734560i | 0.376246 | − | 0.926520i | \(-0.377215\pi\) |
−0.00695775 | + | 0.999976i | \(0.502215\pi\) | |||||||
\(432\) | 36.7153 | + | 23.7763i | 1.76647 | + | 1.14394i | ||||
\(433\) | 15.6913 | − | 6.49954i | 0.754075 | − | 0.312348i | 0.0276718 | − | 0.999617i | \(-0.491191\pi\) |
0.726403 | + | 0.687269i | \(0.241191\pi\) | |||||||
\(434\) | 15.8643 | + | 29.4252i | 0.761510 | + | 1.41245i | ||||
\(435\) | 16.9028 | − | 36.9897i | 0.810428 | − | 1.77352i | ||||
\(436\) | 0.211064 | + | 29.3688i | 0.0101081 | + | 1.40651i | ||||
\(437\) | −26.5007 | + | 39.6611i | −1.26770 | + | 1.89725i | ||||
\(438\) | −3.39268 | + | 4.16442i | −0.162109 | + | 0.198984i | ||||
\(439\) | −0.593019 | − | 2.98131i | −0.0283033 | − | 0.142290i | 0.964050 | − | 0.265721i | \(-0.0856101\pi\) |
−0.992353 | + | 0.123431i | \(0.960610\pi\) | |||||||
\(440\) | 13.2948 | − | 6.68200i | 0.633807 | − | 0.318552i | ||||
\(441\) | − | 94.2436i | − | 4.48779i | ||||||
\(442\) | 2.29580 | − | 3.16757i | 0.109200 | − | 0.150666i | ||||
\(443\) | − | 36.5984i | − | 1.73884i | −0.494071 | − | 0.869422i | \(-0.664492\pi\) | ||
0.494071 | − | 0.869422i | \(-0.335508\pi\) | |||||||
\(444\) | −6.18640 | + | 32.3131i | −0.293594 | + | 1.53351i | ||||
\(445\) | 12.9417 | − | 12.0436i | 0.613494 | − | 0.570923i | ||||
\(446\) | −9.72860 | − | 7.92572i | −0.460662 | − | 0.375294i | ||||
\(447\) | −43.7961 | − | 29.2636i | −2.07148 | − | 1.38412i | ||||
\(448\) | −14.8995 | − | 33.8853i | −0.703934 | − | 1.60093i | ||||
\(449\) | −26.0335 | + | 17.3951i | −1.22860 | + | 0.820923i | −0.988705 | − | 0.149876i | \(-0.952113\pi\) |
−0.239894 | + | 0.970799i | \(0.577113\pi\) | |||||||
\(450\) | −46.2269 | + | 1.38320i | −2.17916 | + | 0.0652045i | ||||
\(451\) | −9.35710 | + | 3.87584i | −0.440609 | + | 0.182506i | ||||
\(452\) | −15.5318 | + | 15.7567i | −0.730554 | + | 0.741131i | ||||
\(453\) | 41.1977 | + | 8.19474i | 1.93564 | + | 0.385022i | ||||
\(454\) | −19.9188 | − | 10.5549i | −0.934833 | − | 0.495368i | ||||
\(455\) | −6.75509 | − | 1.59789i | −0.316684 | − | 0.0749104i | ||||
\(456\) | −29.7205 | − | 54.1899i | −1.39179 | − | 2.53767i | ||||
\(457\) | −1.92714 | − | 0.798247i | −0.0901477 | − | 0.0373404i | 0.337154 | − | 0.941450i | \(-0.390536\pi\) |
−0.427302 | + | 0.904109i | \(0.640536\pi\) | |||||||
\(458\) | −17.6098 | + | 1.79833i | −0.822853 | + | 0.0840304i | ||||
\(459\) | −22.8938 | + | 38.8430i | −1.06859 | + | 1.81304i | ||||
\(460\) | −20.7003 | − | 21.9257i | −0.965155 | − | 1.02229i | ||||
\(461\) | −2.11083 | + | 5.09600i | −0.0983113 | + | 0.237344i | −0.965382 | − | 0.260841i | \(-0.916000\pi\) |
0.867070 | + | 0.498185i | \(0.166000\pi\) | |||||||
\(462\) | −45.4538 | + | 13.9668i | −2.11470 | + | 0.649795i | ||||
\(463\) | −12.5310 | − | 12.5310i | −0.582367 | − | 0.582367i | 0.353186 | − | 0.935553i | \(-0.385098\pi\) |
−0.935553 | + | 0.353186i | \(0.885098\pi\) | |||||||
\(464\) | −4.26253 | + | 23.1644i | −0.197883 | + | 1.07538i | ||||
\(465\) | −33.0621 | + | 12.3230i | −1.53322 | + | 0.571463i | ||||
\(466\) | 8.99577 | + | 10.8814i | 0.416721 | + | 0.504072i | ||||
\(467\) | −10.0201 | + | 4.15047i | −0.463676 | + | 0.192061i | −0.602277 | − | 0.798287i | \(-0.705740\pi\) |
0.138601 | + | 0.990348i | \(0.455740\pi\) | |||||||
\(468\) | −7.26180 | + | 4.92803i | −0.335677 | + | 0.227798i | ||||
\(469\) | 2.54786 | − | 1.70242i | 0.117649 | − | 0.0786106i | ||||
\(470\) | 2.45786 | + | 4.97914i | 0.113373 | + | 0.229671i | ||||
\(471\) | −12.7835 | − | 8.54169i | −0.589035 | − | 0.393580i | ||||
\(472\) | −0.880241 | + | 1.69040i | −0.0405164 | + | 0.0778069i | ||||
\(473\) | −0.982383 | − | 4.93877i | −0.0451700 | − | 0.227085i | ||||
\(474\) | 4.76673 | − | 15.9195i | 0.218943 | − | 0.731207i | ||||
\(475\) | 31.6237 | + | 15.8477i | 1.45100 | + | 0.727143i | ||||
\(476\) | 34.2509 | − | 16.8142i | 1.56989 | − | 0.770677i | ||||
\(477\) | −15.6422 | −0.716207 | ||||||||
\(478\) | 6.03137 | − | 20.1431i | 0.275869 | − | 0.921322i | ||||
\(479\) | −33.4364 | + | 6.65092i | −1.52775 | + | 0.303888i | −0.886240 | − | 0.463227i | \(-0.846692\pi\) |
−0.641509 | + | 0.767115i | \(0.721692\pi\) | |||||||
\(480\) | 37.5853 | − | 10.6681i | 1.71553 | − | 0.486930i | ||||
\(481\) | −2.97094 | − | 1.98512i | −0.135463 | − | 0.0905137i | ||||
\(482\) | −0.0765705 | + | 0.807156i | −0.00348769 | + | 0.0367649i | ||||
\(483\) | 53.5363 | + | 80.1228i | 2.43599 | + | 3.64571i | ||||
\(484\) | −6.13748 | − | 9.04401i | −0.278976 | − | 0.411091i | ||||
\(485\) | 18.1506 | − | 25.1586i | 0.824178 | − | 1.14239i | ||||
\(486\) | 11.8990 | − | 9.83703i | 0.539750 | − | 0.446217i | ||||
\(487\) | −1.81761 | − | 0.361545i | −0.0823638 | − | 0.0163832i | 0.153736 | − | 0.988112i | \(-0.450869\pi\) |
−0.236100 | + | 0.971729i | \(0.575869\pi\) | |||||||
\(488\) | −10.8774 | − | 3.17200i | −0.492398 | − | 0.143590i | ||||
\(489\) | −16.4834 | + | 16.4834i | −0.745405 | + | 0.745405i | ||||
\(490\) | −34.2706 | − | 30.0309i | −1.54819 | − | 1.35666i | ||||
\(491\) | −4.80286 | + | 11.5951i | −0.216750 | + | 0.523281i | −0.994432 | − | 0.105376i | \(-0.966395\pi\) |
0.777682 | + | 0.628658i | \(0.216395\pi\) | |||||||
\(492\) | −26.0447 | + | 5.37548i | −1.17419 | + | 0.242345i | ||||
\(493\) | −24.0411 | − | 3.38508i | −1.08275 | − | 0.152456i | ||||
\(494\) | 6.67764 | − | 0.681927i | 0.300441 | − | 0.0306813i | ||||
\(495\) | −5.49603 | − | 33.9654i | −0.247028 | − | 1.52663i | ||||
\(496\) | 16.8259 | − | 11.5960i | 0.755507 | − | 0.520674i | ||||
\(497\) | −8.34775 | + | 8.34775i | −0.374448 | + | 0.374448i | ||||
\(498\) | 21.1845 | + | 11.2257i | 0.949299 | + | 0.503034i | ||||
\(499\) | −6.39294 | + | 32.1395i | −0.286187 | + | 1.43876i | 0.523564 | + | 0.851987i | \(0.324602\pi\) |
−0.809751 | + | 0.586774i | \(0.800398\pi\) | |||||||
\(500\) | −14.2273 | + | 17.2506i | −0.636263 | + | 0.771472i | ||||
\(501\) | 20.2971 | − | 8.40732i | 0.906806 | − | 0.375611i | ||||
\(502\) | 11.9101 | − | 6.42123i | 0.531575 | − | 0.286594i | ||||
\(503\) | 16.8664 | + | 25.2424i | 0.752036 | + | 1.12550i | 0.988107 | + | 0.153766i | \(0.0491400\pi\) |
−0.236072 | + | 0.971736i | \(0.575860\pi\) | |||||||
\(504\) | −85.0881 | + | 9.30760i | −3.79013 | + | 0.414593i | ||||
\(505\) | 0.774588 | − | 21.5505i | 0.0344687 | − | 0.958983i | ||||
\(506\) | 14.1693 | − | 17.3924i | 0.629904 | − | 0.773189i | ||||
\(507\) | 7.56238 | + | 38.0186i | 0.335857 | + | 1.68847i | ||||
\(508\) | 1.14407 | − | 5.97578i | 0.0507601 | − | 0.265132i | ||||
\(509\) | 5.68733 | 0.252087 | 0.126043 | − | 0.992025i | \(-0.459772\pi\) | ||||
0.126043 | + | 0.992025i | \(0.459772\pi\) | |||||||
\(510\) | 12.6169 | + | 38.2450i | 0.558687 | + | 1.69352i | ||||
\(511\) | − | 5.68981i | − | 0.251703i | ||||||
\(512\) | −19.6003 | + | 11.3062i | −0.866218 | + | 0.499666i | ||||
\(513\) | −75.8759 | + | 15.0926i | −3.35000 | + | 0.666357i | ||||
\(514\) | 26.9022 | − | 33.0217i | 1.18661 | − | 1.45653i | ||||
\(515\) | −0.673912 | + | 18.7495i | −0.0296961 | + | 0.826199i | ||||
\(516\) | −0.0950200 | − | 13.2217i | −0.00418302 | − | 0.582052i | ||||
\(517\) | −3.43490 | + | 2.29513i | −0.151067 | + | 0.100940i | ||||
\(518\) | −16.5384 | − | 30.6755i | −0.726655 | − | 1.34780i | ||||
\(519\) | 4.65204 | + | 11.2310i | 0.204202 | + | 0.492987i | ||||
\(520\) | −0.521959 | + | 4.21100i | −0.0228894 | + | 0.184664i | ||||
\(521\) | 5.48013 | + | 1.09007i | 0.240089 | + | 0.0477567i | 0.313668 | − | 0.949533i | \(-0.398442\pi\) |
−0.0735790 | + | 0.997289i | \(0.523442\pi\) | |||||||
\(522\) | 48.1251 | + | 25.5015i | 2.10638 | + | 1.11617i | ||||
\(523\) | −14.3521 | − | 14.3521i | −0.627573 | − | 0.627573i | 0.319884 | − | 0.947457i | \(-0.396356\pi\) |
−0.947457 | + | 0.319884i | \(0.896356\pi\) | |||||||
\(524\) | −6.84617 | + | 2.89359i | −0.299076 | + | 0.126407i | ||||
\(525\) | 54.0263 | − | 46.7710i | 2.35790 | − | 2.04125i | ||||
\(526\) | −0.656654 | − | 6.43016i | −0.0286315 | − | 0.280368i | ||||
\(527\) | 12.6721 | + | 16.8255i | 0.552004 | + | 0.732928i | ||||
\(528\) | 11.5084 | + | 26.6920i | 0.500838 | + | 1.16162i | ||||
\(529\) | −20.7521 | − | 8.59579i | −0.902264 | − | 0.373730i | ||||
\(530\) | −4.98441 | + | 5.68811i | −0.216509 | + | 0.247076i | ||||
\(531\) | 3.11625 | + | 3.11625i | 0.135234 | + | 0.135234i | ||||
\(532\) | 60.6629 | + | 24.6181i | 2.63007 | + | 1.06733i | ||||
\(533\) | 0.563465 | − | 2.83273i | 0.0244064 | − | 0.122699i | ||||
\(534\) | 22.0047 | + | 26.6172i | 0.952238 | + | 1.15184i | ||||
\(535\) | −9.37236 | − | 6.76167i | −0.405202 | − | 0.292332i | ||||
\(536\) | −1.20385 | − | 1.43506i | −0.0519983 | − | 0.0619853i | ||||
\(537\) | −0.207403 | + | 0.138582i | −0.00895010 | + | 0.00598026i | ||||
\(538\) | −1.41064 | + | 14.8700i | −0.0608169 | + | 0.641092i | ||||
\(539\) | 18.8342 | − | 28.1874i | 0.811247 | − | 1.21412i | ||||
\(540\) | 1.40537 | − | 48.8844i | 0.0604776 | − | 2.10365i | ||||
\(541\) | −1.32194 | − | 6.64586i | −0.0568348 | − | 0.285728i | 0.941907 | − | 0.335873i | \(-0.109031\pi\) |
−0.998742 | + | 0.0501457i | \(0.984031\pi\) | |||||||
\(542\) | −29.0065 | − | 8.68534i | −1.24594 | − | 0.373067i | ||||
\(543\) | − | 61.9029i | − | 2.65651i | ||||||
\(544\) | −12.4939 | − | 19.6952i | −0.535674 | − | 0.844425i | ||||
\(545\) | 27.9399 | − | 17.2503i | 1.19682 | − | 0.738923i | ||||
\(546\) | 3.88967 | − | 12.9904i | 0.166463 | − | 0.555937i | ||||
\(547\) | 0.517804 | − | 0.102998i | 0.0221397 | − | 0.00440386i | −0.184008 | − | 0.982925i | \(-0.558907\pi\) |
0.206148 | + | 0.978521i | \(0.433907\pi\) | |||||||
\(548\) | 19.9058 | − | 30.2597i | 0.850335 | − | 1.29263i | ||||
\(549\) | −14.5562 | + | 21.7848i | −0.621242 | + | 0.929754i | ||||
\(550\) | −14.1025 | − | 8.82456i | −0.601331 | − | 0.376281i | ||||
\(551\) | −23.1434 | − | 34.6365i | −0.985940 | − | 1.47556i | ||||
\(552\) | 45.1287 | − | 37.8576i | 1.92080 | − | 1.61133i | ||||
\(553\) | 6.73626 | + | 16.2628i | 0.286455 | + | 0.691563i | ||||
\(554\) | 9.34372 | + | 11.3023i | 0.396977 | + | 0.480189i | ||||
\(555\) | 34.4670 | − | 12.8466i | 1.46304 | − | 0.545307i | ||||
\(556\) | 14.5114 | − | 35.7584i | 0.615422 | − | 1.51649i | ||||
\(557\) | −7.07083 | + | 7.07083i | −0.299601 | + | 0.299601i | −0.840857 | − | 0.541257i | \(-0.817949\pi\) |
0.541257 | + | 0.840857i | \(0.317949\pi\) | |||||||
\(558\) | −13.8792 | − | 45.1686i | −0.587552 | − | 1.91214i | ||||
\(559\) | 1.32668 | + | 0.549528i | 0.0561125 | + | 0.0232426i | ||||
\(560\) | −23.7288 | + | 33.9072i | −1.00273 | + | 1.43284i | ||||
\(561\) | −26.9899 | + | 13.0098i | −1.13952 | + | 0.549274i | ||||
\(562\) | −40.4219 | + | 4.12791i | −1.70509 | + | 0.174126i | ||||
\(563\) | −5.01599 | + | 12.1097i | −0.211399 | + | 0.510362i | −0.993639 | − | 0.112615i | \(-0.964077\pi\) |
0.782240 | + | 0.622978i | \(0.214077\pi\) | |||||||
\(564\) | −9.99149 | + | 4.22299i | −0.420717 | + | 0.177820i | ||||
\(565\) | 24.0720 | + | 5.69416i | 1.01272 | + | 0.239555i | ||||
\(566\) | 8.48745 | − | 16.0171i | 0.356754 | − | 0.673248i | ||||
\(567\) | −12.7781 | + | 64.2397i | −0.536629 | + | 2.69782i | ||||
\(568\) | 5.62746 | + | 4.51770i | 0.236123 | + | 0.189558i | ||||
\(569\) | 5.02147 | + | 12.1229i | 0.210511 | + | 0.508219i | 0.993502 | − | 0.113814i | \(-0.0363069\pi\) |
−0.782991 | + | 0.622033i | \(0.786307\pi\) | |||||||
\(570\) | −34.5266 | + | 59.8559i | −1.44616 | + | 2.50709i | ||||
\(571\) | 6.28432 | + | 9.40515i | 0.262991 | + | 0.393593i | 0.939340 | − | 0.342988i | \(-0.111439\pi\) |
−0.676349 | + | 0.736581i | \(0.736439\pi\) | |||||||
\(572\) | −3.15679 | + | 0.0226868i | −0.131992 | + | 0.000948584i | ||||
\(573\) | 18.5467 | − | 27.7570i | 0.774798 | − | 1.15957i | ||||
\(574\) | 17.7924 | − | 21.8396i | 0.742639 | − | 0.911567i | ||||
\(575\) | −8.93389 | + | 32.5074i | −0.372569 | + | 1.35565i | ||||
\(576\) | 11.3117 | + | 51.0858i | 0.471320 | + | 2.12857i | ||||
\(577\) | 35.4243 | 1.47473 | 0.737366 | − | 0.675493i | \(-0.236069\pi\) | ||||
0.737366 | + | 0.675493i | \(0.236069\pi\) | |||||||
\(578\) | 19.7415 | − | 13.7213i | 0.821136 | − | 0.570732i | ||||
\(579\) | 83.0227 | 3.45031 | ||||||||
\(580\) | 24.6084 | − | 9.37406i | 1.02181 | − | 0.389237i | ||||
\(581\) | −24.9079 | + | 4.95448i | −1.03335 | + | 0.205546i | ||||
\(582\) | 46.9843 | + | 38.2773i | 1.94756 | + | 1.58665i | ||||
\(583\) | −4.67844 | − | 3.12603i | −0.193761 | − | 0.129467i | ||||
\(584\) | −3.45746 | + | 0.378204i | −0.143071 | + | 0.0156502i | ||||
\(585\) | 8.92432 | + | 4.07806i | 0.368975 | + | 0.168607i | ||||
\(586\) | −14.2743 | − | 26.4761i | −0.589666 | − | 1.09372i | ||||
\(587\) | 3.42440 | + | 8.26724i | 0.141340 | + | 0.341226i | 0.978659 | − | 0.205489i | \(-0.0658784\pi\) |
−0.837319 | + | 0.546714i | \(0.815878\pi\) | |||||||
\(588\) | 62.4888 | − | 63.3935i | 2.57700 | − | 2.61430i | ||||
\(589\) | −7.05083 | + | 35.4469i | −0.290524 | + | 1.46056i | ||||
\(590\) | 2.12619 | − | 0.140192i | 0.0875339 | − | 0.00577162i | ||||
\(591\) | 9.43227 | + | 9.43227i | 0.387992 | + | 0.387992i | ||||
\(592\) | −17.5409 | + | 12.0887i | −0.720927 | + | 0.496843i | ||||
\(593\) | −20.4753 | − | 8.48116i | −0.840821 | − | 0.348280i | −0.0796440 | − | 0.996823i | \(-0.525378\pi\) |
−0.761177 | + | 0.648544i | \(0.775378\pi\) | |||||||
\(594\) | 36.1957 | − | 3.69634i | 1.48513 | − | 0.151663i | ||||
\(595\) | −35.9490 | − | 22.9668i | −1.47377 | − | 0.941546i | ||||
\(596\) | −6.89405 | − | 33.4023i | −0.282391 | − | 1.36821i | ||||
\(597\) | 44.8187 | + | 18.5645i | 1.83431 | + | 0.759796i | ||||
\(598\) | 1.87906 | + | 6.11523i | 0.0768404 | + | 0.250070i | ||||
\(599\) | −9.05146 | + | 9.05146i | −0.369832 | + | 0.369832i | −0.867416 | − | 0.497584i | \(-0.834221\pi\) |
0.497584 | + | 0.867416i | \(0.334221\pi\) | |||||||
\(600\) | −32.0119 | − | 29.7206i | −1.30688 | − | 1.21334i | ||||
\(601\) | −4.90373 | + | 24.6527i | −0.200027 | + | 1.00561i | 0.742084 | + | 0.670306i | \(0.233837\pi\) |
−0.942112 | + | 0.335299i | \(0.891163\pi\) | |||||||
\(602\) | 8.92392 | + | 10.7945i | 0.363712 | + | 0.439951i | ||||
\(603\) | −4.00170 | + | 1.65756i | −0.162962 | + | 0.0675010i | ||||
\(604\) | 15.2729 | + | 22.5056i | 0.621443 | + | 0.915740i | ||||
\(605\) | −5.07890 | + | 11.1146i | −0.206487 | + | 0.451871i | ||||
\(606\) | 41.9377 | + | 3.97840i | 1.70360 | + | 0.161611i | ||||
\(607\) | 20.8307 | − | 31.1753i | 0.845492 | − | 1.26537i | −0.116747 | − | 0.993162i | \(-0.537247\pi\) |
0.962239 | − | 0.272207i | \(-0.0877534\pi\) | |||||||
\(608\) | 10.9271 | − | 38.4987i | 0.443153 | − | 1.56133i | ||||
\(609\) | −82.5377 | + | 16.4178i | −3.34459 | + | 0.665281i | ||||
\(610\) | 3.28347 | + | 12.2350i | 0.132944 | + | 0.495379i | ||||
\(611\) | − | 1.17808i | − | 0.0476599i | ||||||
\(612\) | −52.1207 | + | 13.8653i | −2.10686 | + | 0.560471i | ||||
\(613\) | −18.2924 | −0.738821 | −0.369411 | − | 0.929266i | \(-0.620440\pi\) | ||||
−0.369411 | + | 0.929266i | \(0.620440\pi\) | |||||||
\(614\) | −10.9471 | + | 36.5601i | −0.441788 | + | 1.47544i | ||||
\(615\) | 20.2554 | + | 21.7658i | 0.816777 | + | 0.877681i | ||||
\(616\) | −27.3092 | − | 14.2207i | −1.10032 | − | 0.572969i | ||||
\(617\) | 10.0381 | − | 15.0231i | 0.404119 | − | 0.604806i | −0.572469 | − | 0.819926i | \(-0.694014\pi\) |
0.976588 | + | 0.215120i | \(0.0690143\pi\) | |||||||
\(618\) | −36.4869 | − | 3.46131i | −1.46772 | − | 0.139234i | ||||
\(619\) | −17.1673 | + | 11.4709i | −0.690014 | + | 0.461053i | −0.850493 | − | 0.525987i | \(-0.823696\pi\) |
0.160479 | + | 0.987039i | \(0.448696\pi\) | |||||||
\(620\) | −20.8477 | − | 9.34603i | −0.837262 | − | 0.375345i | ||||
\(621\) | −28.2162 | − | 68.1198i | −1.13228 | − | 2.73355i | ||||
\(622\) | −17.2264 | + | 14.2412i | −0.690714 | + | 0.571020i | ||||
\(623\) | −35.8791 | − | 7.13680i | −1.43747 | − | 0.285930i | ||||
\(624\) | −8.15226 | − | 1.50011i | −0.326352 | − | 0.0600527i | ||||
\(625\) | 24.7423 | + | 3.58040i | 0.989691 | + | 0.143216i | ||||
\(626\) | −12.1893 | − | 39.6691i | −0.487183 | − | 1.58550i | ||||
\(627\) | −47.4957 | − | 19.6734i | −1.89680 | − | 0.785679i | ||||
\(628\) | −2.01229 | − | 9.74975i | −0.0802991 | − | 0.389057i | ||||
\(629\) | −13.2105 | − | 17.5404i | −0.526739 | − | 0.699381i | ||||
\(630\) | 58.2874 | + | 75.9002i | 2.32223 | + | 3.02394i | ||||
\(631\) | −3.60818 | + | 8.71092i | −0.143639 | + | 0.346776i | −0.979283 | − | 0.202496i | \(-0.935095\pi\) |
0.835644 | + | 0.549272i | \(0.185095\pi\) | |||||||
\(632\) | 9.43443 | − | 5.17433i | 0.375282 | − | 0.205824i | ||||
\(633\) | 28.5989 | − | 28.5989i | 1.13670 | − | 1.13670i | ||||
\(634\) | 16.2687 | + | 8.62081i | 0.646114 | + | 0.342376i | ||||
\(635\) | −6.37411 | + | 2.37577i | −0.252949 | + | 0.0942794i | ||||
\(636\) | −10.5218 | − | 10.3717i | −0.417217 | − | 0.411263i | ||||
\(637\) | 3.69959 | + | 8.93160i | 0.146583 | + | 0.353883i | ||||
\(638\) | 9.29740 | + | 17.2449i | 0.368087 | + | 0.682731i | ||||
\(639\) | 13.8750 | − | 9.27095i | 0.548885 | − | 0.366753i | ||||
\(640\) | 22.1813 | + | 12.1652i | 0.876791 | + | 0.480872i | ||||
\(641\) | −13.4708 | + | 20.1605i | −0.532064 | + | 0.796290i | −0.995979 | − | 0.0895896i | \(-0.971444\pi\) |
0.463915 | + | 0.885880i | \(0.346444\pi\) | |||||||
\(642\) | 14.2595 | − | 17.5031i | 0.562776 | − | 0.690792i | ||||
\(643\) | 3.81347 | + | 19.1716i | 0.150388 | + | 0.756054i | 0.980200 | + | 0.198010i | \(0.0634479\pi\) |
−0.829812 | + | 0.558044i | \(0.811552\pi\) | |||||||
\(644\) | −11.7327 | + | 61.2830i | −0.462335 | + | 2.41489i | ||||
\(645\) | −12.5784 | + | 7.76600i | −0.495274 | + | 0.305786i | ||||
\(646\) | 40.1223 | + | 9.58359i | 1.57859 | + | 0.377061i | ||||
\(647\) | −31.9601 | −1.25648 | −0.628241 | − | 0.778018i | \(-0.716225\pi\) | ||||
−0.628241 | + | 0.778018i | \(0.716225\pi\) | |||||||
\(648\) | 39.8851 | + | 3.49466i | 1.56684 | + | 0.137283i | ||||
\(649\) | 0.309272 | + | 1.55482i | 0.0121400 | + | 0.0610318i | ||||
\(650\) | 4.32669 | − | 1.94575i | 0.169707 | − | 0.0763187i | ||||
\(651\) | 60.7074 | + | 40.5634i | 2.37931 | + | 1.58980i | ||||
\(652\) | −15.0938 | + | 0.108474i | −0.591117 | + | 0.00424817i | ||||
\(653\) | −32.2102 | + | 21.5222i | −1.26048 | + | 0.842228i | −0.992624 | − | 0.121230i | \(-0.961316\pi\) |
−0.267859 | + | 0.963458i | \(0.586316\pi\) | |||||||
\(654\) | 30.4410 | + | 56.4622i | 1.19034 | + | 2.20785i | ||||
\(655\) | 6.73910 | + | 4.86191i | 0.263319 | + | 0.189971i | ||||
\(656\) | −14.4537 | − | 9.35998i | −0.564321 | − | 0.365446i | ||||
\(657\) | −1.56904 | + | 7.88811i | −0.0612142 | + | 0.307744i | ||||
\(658\) | 5.37997 | − | 10.1528i | 0.209733 | − | 0.395797i | ||||
\(659\) | −13.6422 | + | 13.6422i | −0.531424 | + | 0.531424i | −0.920996 | − | 0.389572i | \(-0.872623\pi\) |
0.389572 | + | 0.920996i | \(0.372623\pi\) | |||||||
\(660\) | 18.8241 | − | 26.4912i | 0.732726 | − | 1.03117i | ||||
\(661\) | −19.3537 | − | 8.01657i | −0.752772 | − | 0.311808i | −0.0269000 | − | 0.999638i | \(-0.508564\pi\) |
−0.725872 | + | 0.687830i | \(0.758564\pi\) | |||||||
\(662\) | 1.38002 | + | 13.5136i | 0.0536359 | + | 0.525220i | ||||
\(663\) | 1.19131 | − | 8.46078i | 0.0462668 | − | 0.328590i | ||||
\(664\) | 4.66626 | + | 14.8061i | 0.181086 | + | 0.574589i | ||||
\(665\) | −11.6918 | − | 72.2555i | −0.453390 | − | 2.80195i | ||||
\(666\) | 14.4689 | + | 47.0879i | 0.560659 | + | 1.82462i | ||||
\(667\) | 28.0738 | − | 28.0738i | 1.08702 | − | 1.08702i | ||||
\(668\) | 13.1813 | + | 5.34924i | 0.510001 | + | 0.206968i | ||||
\(669\) | −26.8801 | − | 5.34679i | −1.03924 | − | 0.206719i | ||||
\(670\) | −0.672395 | + | 1.98336i | −0.0259769 | + | 0.0766238i | ||||
\(671\) | −8.70723 | + | 3.60665i | −0.336139 | + | 0.139233i | ||||
\(672\) | −63.4065 | − | 50.1574i | −2.44596 | − | 1.93486i | ||||
\(673\) | 33.9787 | − | 22.7038i | 1.30978 | − | 0.875169i | 0.312578 | − | 0.949892i | \(-0.398807\pi\) |
0.997204 | + | 0.0747236i | \(0.0238074\pi\) | |||||||
\(674\) | −1.04039 | + | 10.9672i | −0.0400745 | + | 0.422439i | ||||
\(675\) | −47.5258 | + | 27.0346i | −1.82927 | + | 1.04056i | ||||
\(676\) | −13.7943 | + | 20.9694i | −0.530551 | + | 0.806514i | ||||
\(677\) | 32.5951 | − | 6.48358i | 1.25273 | − | 0.249184i | 0.476243 | − | 0.879314i | \(-0.341998\pi\) |
0.776490 | + | 0.630130i | \(0.216998\pi\) | |||||||
\(678\) | −13.8610 | + | 46.2918i | −0.532329 | + | 1.77782i | ||||
\(679\) | −64.1942 | −2.46355 | ||||||||
\(680\) | −11.5664 | + | 23.3713i | −0.443551 | + | 0.896249i | ||||
\(681\) | −49.2345 | −1.88667 | ||||||||
\(682\) | 4.87563 | − | 16.2832i | 0.186698 | − | 0.623516i | ||||
\(683\) | 40.1356 | − | 7.98347i | 1.53575 | − | 0.305479i | 0.646503 | − | 0.762912i | \(-0.276231\pi\) |
0.889244 | + | 0.457433i | \(0.151231\pi\) | |||||||
\(684\) | −77.3116 | − | 50.8581i | −2.95608 | − | 1.94461i | ||||
\(685\) | −40.4691 | − | 1.45458i | −1.54625 | − | 0.0555767i | ||||
\(686\) | −4.57892 | + | 48.2680i | −0.174824 | + | 1.84288i | ||||
\(687\) | −32.1456 | + | 21.4790i | −1.22643 | + | 0.819476i | ||||
\(688\) | 5.96619 | − | 6.14020i | 0.227459 | − | 0.234093i | ||||
\(689\) | 1.48243 | − | 0.614044i | 0.0564762 | − | 0.0233932i | ||||
\(690\) | −62.3709 | − | 21.1449i | −2.37442 | − | 0.804973i | ||||
\(691\) | −43.5640 | − | 8.66542i | −1.65725 | − | 0.329648i | −0.724255 | − | 0.689532i | \(-0.757816\pi\) |
−0.932997 | + | 0.359884i | \(0.882816\pi\) | |||||||
\(692\) | −2.95991 | + | 7.29366i | −0.112519 | + | 0.277264i | ||||
\(693\) | −50.3445 | + | 50.3445i | −1.91243 | + | 1.91243i | ||||
\(694\) | −5.72828 | − | 18.6422i | −0.217442 | − | 0.707648i | ||||
\(695\) | −42.5917 | + | 6.89188i | −1.61560 | + | 0.261424i | ||||
\(696\) | 15.4627 | + | 49.0634i | 0.586112 | + | 1.85974i | ||||
\(697\) | 9.01258 | − | 15.2913i | 0.341376 | − | 0.579199i | ||||
\(698\) | −0.588099 | − | 5.75886i | −0.0222599 | − | 0.217976i | ||||
\(699\) | 28.4884 | + | 11.8003i | 1.07753 | + | 0.446328i | ||||
\(700\) | 46.1737 | + | 2.99015i | 1.74520 | + | 0.113017i | ||||
\(701\) | −24.9507 | + | 24.9507i | −0.942374 | + | 0.942374i | −0.998428 | − | 0.0560536i | \(-0.982148\pi\) |
0.0560536 | + | 0.998428i | \(0.482148\pi\) | |||||||
\(702\) | −4.85814 | + | 9.16802i | −0.183359 | + | 0.346025i | ||||
\(703\) | 7.35043 | − | 36.9531i | 0.277227 | − | 1.39371i | ||||
\(704\) | −6.82608 | + | 17.5399i | −0.257268 | + | 0.661059i | ||||
\(705\) | 9.83522 | + | 7.09560i | 0.370416 | + | 0.267236i | ||||
\(706\) | −4.86633 | − | 9.02610i | −0.183147 | − | 0.339702i | ||||
\(707\) | −37.1023 | + | 24.7910i | −1.39538 | + | 0.932361i | ||||
\(708\) | 0.0299140 | + | 4.16242i | 0.00112424 | + | 0.156433i | ||||
\(709\) | −40.1803 | − | 26.8476i | −1.50900 | − | 1.00828i | −0.987952 | − | 0.154758i | \(-0.950540\pi\) |
−0.521051 | − | 0.853525i | \(-0.674460\pi\) | |||||||
\(710\) | 1.05000 | − | 7.99968i | 0.0394057 | − | 0.300223i | ||||
\(711\) | −4.85418 | − | 24.4036i | −0.182046 | − | 0.915206i | ||||
\(712\) | −1.95183 | + | 22.2766i | −0.0731481 | + | 0.834851i | ||||
\(713\) | −34.4455 | −1.29000 | ||||||||
\(714\) | 48.9051 | − | 67.4756i | 1.83023 | − | 2.52521i | ||||
\(715\) | 1.85420 | + | 3.00320i | 0.0693432 | + | 0.112313i | ||||
\(716\) | −0.158635 | − | 0.0303709i | −0.00592846 | − | 0.00113502i | ||||
\(717\) | −8.95930 | − | 45.0414i | −0.334591 | − | 1.68210i | ||||
\(718\) | −1.18685 | + | 1.45683i | −0.0442930 | + | 0.0543684i | ||||
\(719\) | 11.4596 | − | 17.1506i | 0.427373 | − | 0.639609i | −0.553821 | − | 0.832636i | \(-0.686831\pi\) |
0.981193 | + | 0.193027i | \(0.0618307\pi\) | |||||||
\(720\) | 42.2470 | − | 40.4639i | 1.57445 | − | 1.50800i | ||||
\(721\) | 32.2800 | − | 21.5688i | 1.20217 | − | 0.803264i | ||||
\(722\) | 20.8376 | + | 38.6497i | 0.775496 | + | 1.43839i | ||||
\(723\) | 0.677658 | + | 1.63601i | 0.0252024 | + | 0.0608439i | ||||
\(724\) | 28.1384 | − | 28.5457i | 1.04575 | − | 1.06089i | ||||
\(725\) | −23.2424 | − | 18.0722i | −0.863199 | − | 0.671184i | ||||
\(726\) | −21.0933 | − | 11.1773i | −0.782846 | − | 0.414830i | ||||
\(727\) | 11.6539 | − | 11.6539i | 0.432220 | − | 0.432220i | −0.457163 | − | 0.889383i | \(-0.651134\pi\) |
0.889383 | + | 0.457163i | \(0.151134\pi\) | |||||||
\(728\) | 7.69855 | − | 4.22228i | 0.285327 | − | 0.156488i | ||||
\(729\) | −3.34745 | + | 8.08147i | −0.123980 | + | 0.299314i | ||||
\(730\) | 2.36844 | + | 3.08412i | 0.0876601 | + | 0.114148i | ||||
\(731\) | 6.58235 | + | 5.87803i | 0.243457 | + | 0.217407i | ||||
\(732\) | −24.2359 | + | 5.00214i | −0.895783 | + | 0.184884i | ||||
\(733\) | −18.1974 | − | 7.53760i | −0.672136 | − | 0.278408i | 0.0203994 | − | 0.999792i | \(-0.493506\pi\) |
−0.692535 | + | 0.721384i | \(0.743506\pi\) | |||||||
\(734\) | 3.21292 | + | 10.4562i | 0.118591 | + | 0.385944i | ||||
\(735\) | −96.8486 | − | 22.9092i | −3.57232 | − | 0.845019i | ||||
\(736\) | 38.0190 | + | 3.05599i | 1.40140 | + | 0.112645i | ||||
\(737\) | −1.52813 | − | 0.303964i | −0.0562894 | − | 0.0111967i | ||||
\(738\) | −30.6891 | + | 25.3710i | −1.12968 | + | 0.933919i | ||||
\(739\) | −14.7461 | − | 35.6002i | −0.542443 | − | 1.30957i | −0.922994 | − | 0.384814i | \(-0.874266\pi\) |
0.380551 | − | 0.924760i | \(-0.375734\pi\) | |||||||
\(740\) | 21.7335 | + | 9.74316i | 0.798940 | + | 0.358166i | ||||
\(741\) | 12.1896 | − | 8.14485i | 0.447797 | − | 0.299209i | ||||
\(742\) | 15.5800 | + | 1.47799i | 0.571958 | + | 0.0542585i | ||||
\(743\) | −9.70475 | + | 14.5242i | −0.356033 | + | 0.532841i | −0.965647 | − | 0.259858i | \(-0.916324\pi\) |
0.609614 | + | 0.792698i | \(0.291324\pi\) | |||||||
\(744\) | 20.6134 | − | 39.5856i | 0.755725 | − | 1.45128i | ||||
\(745\) | −27.9146 | + | 25.9775i | −1.02271 | + | 0.951743i | ||||
\(746\) | 9.86451 | − | 32.9446i | 0.361165 | − | 1.20619i | ||||
\(747\) | 35.8974 | 1.31342 | ||||||||
\(748\) | −18.3598 | − | 6.26915i | −0.671300 | − | 0.229223i | ||||
\(749\) | 23.9143i | 0.873811i | ||||||||
\(750\) | −9.81564 | + | 47.8409i | −0.358416 | + | 1.74690i | ||||
\(751\) | 39.1835 | − | 7.79408i | 1.42983 | − | 0.284410i | 0.581354 | − | 0.813650i | \(-0.302523\pi\) |
0.848472 | + | 0.529240i | \(0.177523\pi\) | |||||||
\(752\) | −6.52704 | − | 2.59432i | −0.238017 | − | 0.0946051i | ||||
\(753\) | 16.4184 | − | 24.5719i | 0.598321 | − | 0.895451i | ||||
\(754\) | −5.56196 | − | 0.527632i | −0.202555 | − | 0.0192152i | ||||
\(755\) | 12.6386 | − | 27.6581i | 0.459967 | − | 1.00658i | ||||
\(756\) | −83.7360 | + | 56.8253i | −3.04545 | + | 2.06671i | ||||
\(757\) | −11.2462 | + | 4.65834i | −0.408751 | + | 0.169310i | −0.577578 | − | 0.816335i | \(-0.696002\pi\) |
0.168827 | + | 0.985646i | \(0.446002\pi\) | |||||||
\(758\) | 23.6960 | + | 28.6630i | 0.860679 | + | 1.04109i | ||||
\(759\) | 9.55880 | − | 48.0553i | 0.346962 | − | 1.74430i | ||||
\(760\) | −43.1294 | + | 11.9075i | −1.56447 | + | 0.431930i | ||||
\(761\) | 24.8892 | − | 24.8892i | 0.902231 | − | 0.902231i | −0.0933975 | − | 0.995629i | \(-0.529773\pi\) |
0.995629 | + | 0.0933975i | \(0.0297727\pi\) | |||||||
\(762\) | −3.90315 | − | 12.7025i | −0.141396 | − | 0.460162i | ||||
\(763\) | −62.7749 | − | 26.0022i | −2.27260 | − | 0.941343i | ||||
\(764\) | 21.1697 | − | 4.36930i | 0.765893 | − | 0.158076i | ||||
\(765\) | 43.5048 | + | 41.7535i | 1.57292 | + | 1.50960i | ||||
\(766\) | −19.4513 | + | 1.98638i | −0.702803 | + | 0.0717708i | ||||
\(767\) | −0.417662 | − | 0.173001i | −0.0150809 | − | 0.00624672i | ||||
\(768\) | −26.2639 | + | 41.8634i | −0.947717 | + | 1.51062i | ||||
\(769\) | 5.65391 | + | 5.65391i | 0.203885 | + | 0.203885i | 0.801662 | − | 0.597777i | \(-0.203949\pi\) |
−0.597777 | + | 0.801662i | \(0.703949\pi\) | |||||||
\(770\) | 2.26487 | + | 34.3496i | 0.0816202 | + | 1.23787i | ||||
\(771\) | 18.1486 | − | 91.2390i | 0.653604 | − | 3.28589i | ||||
\(772\) | 38.2849 | + | 37.7385i | 1.37790 | + | 1.35824i | ||||
\(773\) | 15.4563 | + | 37.3149i | 0.555925 | + | 1.34212i | 0.912967 | + | 0.408034i | \(0.133785\pi\) |
−0.357042 | + | 0.934089i | \(0.616215\pi\) | |||||||
\(774\) | −9.39500 | − | 17.4259i | −0.337696 | − | 0.626361i | ||||
\(775\) | 3.17181 | + | 25.3457i | 0.113935 | + | 0.910446i | ||||
\(776\) | 4.26701 | + | 39.0081i | 0.153177 | + | 1.40031i | ||||
\(777\) | −63.2870 | − | 42.2870i | −2.27041 | − | 1.51704i | ||||
\(778\) | 33.3904 | + | 27.2026i | 1.19710 | + | 0.975260i | ||||
\(779\) | 29.8700 | − | 5.94150i | 1.07020 | − | 0.212876i | ||||
\(780\) | 3.29902 | + | 8.66046i | 0.118124 | + | 0.310094i | ||||
\(781\) | 6.00264 | 0.214791 | ||||||||
\(782\) | −1.49821 | + | 39.2869i | −0.0535758 | + | 1.40490i | ||||
\(783\) | 64.3912 | 2.30115 | ||||||||
\(784\) | 57.6319 | − | 0.828408i | 2.05828 | − | 0.0295860i | ||||
\(785\) | −8.14793 | + | 7.58253i | −0.290812 | + | 0.270632i | ||||
\(786\) | −10.2531 | + | 12.5854i | −0.365717 | + | 0.448907i | ||||
\(787\) | 9.12912 | − | 13.6627i | 0.325418 | − | 0.487022i | −0.632303 | − | 0.774721i | \(-0.717890\pi\) |
0.957721 | + | 0.287699i | \(0.0928902\pi\) | |||||||
\(788\) | 0.0620720 | + | 8.63708i | 0.00221122 | + | 0.307683i | ||||
\(789\) | −7.84300 | − | 11.7379i | −0.279218 | − | 0.417879i | ||||
\(790\) | −10.4209 | − | 6.01107i | −0.370758 | − | 0.213864i | ||||
\(791\) | −19.5881 | − | 47.2899i | −0.696474 | − | 1.68144i | ||||
\(792\) | 33.9387 | + | 27.2458i | 1.20596 | + | 0.968139i | ||||
\(793\) | 0.524331 | − | 2.63599i | 0.0186195 | − | 0.0936068i | ||||
\(794\) | −19.7269 | + | 37.2277i | −0.700083 | + | 1.32116i | ||||
\(795\) | −3.80238 | + | 16.0746i | −0.134857 | + | 0.570106i | ||||
\(796\) | 12.2290 | + | 28.9335i | 0.433445 | + | 1.02552i | ||||
\(797\) | −16.2731 | + | 39.2868i | −0.576424 | + | 1.39161i | 0.319578 | + | 0.947560i | \(0.396459\pi\) |
−0.896002 | + | 0.444050i | \(0.853541\pi\) | |||||||
\(798\) | 142.247 | − | 14.5264i | 5.03549 | − | 0.514229i | ||||
\(799\) | 2.38869 | − | 6.83448i | 0.0845058 | − | 0.241787i | ||||
\(800\) | −1.25219 | − | 28.2565i | −0.0442716 | − | 0.999020i | ||||
\(801\) | 47.7732 | + | 19.7883i | 1.68798 | + | 0.699185i | ||||
\(802\) | −0.732397 | − | 2.38352i | −0.0258619 | − | 0.0841652i | ||||
\(803\) | −2.04569 | + | 2.04569i | −0.0721910 | + | 0.0721910i | ||||
\(804\) | −3.79083 | − | 1.53839i | −0.133692 | − | 0.0542548i | ||||
\(805\) | 65.3679 | − | 24.3640i | 2.30392 | − | 0.858719i | ||||
\(806\) | 3.08847 | + | 3.73585i | 0.108787 | + | 0.131590i | ||||
\(807\) | 12.4843 | + | 30.1398i | 0.439469 | + | 1.06097i | ||||
\(808\) | 17.5306 | + | 20.8977i | 0.616726 | + | 0.735177i | ||||
\(809\) | −7.20992 | − | 10.7904i | −0.253487 | − | 0.379371i | 0.682800 | − | 0.730605i | \(-0.260762\pi\) |
−0.936287 | + | 0.351235i | \(0.885762\pi\) | |||||||
\(810\) | −19.8142 | − | 40.1397i | −0.696200 | − | 1.41036i | ||||
\(811\) | 0.282462 | − | 0.422734i | 0.00991857 | − | 0.0148442i | −0.826477 | − | 0.562970i | \(-0.809659\pi\) |
0.836396 | + | 0.548126i | \(0.184659\pi\) | |||||||
\(812\) | −45.5240 | − | 29.9472i | −1.59758 | − | 1.05094i | ||||
\(813\) | −64.8608 | + | 12.9016i | −2.27477 | + | 0.452480i | ||||
\(814\) | −5.08281 | + | 16.9751i | −0.178152 | + | 0.594978i | ||||
\(815\) | 8.86561 | + | 14.3594i | 0.310549 | + | 0.502988i | ||||
\(816\) | −44.2528 | − | 25.2324i | −1.54916 | − | 0.883312i | ||||
\(817\) | 15.1419i | 0.529747i | ||||||||
\(818\) | 27.7580 | + | 8.31149i | 0.970535 | + | 0.290604i | ||||
\(819\) | −3.96103 | − | 19.9135i | −0.138410 | − | 0.695832i | ||||
\(820\) | −0.553251 | + | 19.2443i | −0.0193204 | + | 0.672038i | ||||
\(821\) | −11.8178 | + | 17.6866i | −0.412444 | + | 0.617267i | −0.978289 | − | 0.207245i | \(-0.933550\pi\) |
0.565845 | + | 0.824512i | \(0.308550\pi\) | |||||||
\(822\) | 7.47095 | − | 78.7539i | 0.260579 | − | 2.74686i | ||||
\(823\) | 30.9347 | − | 20.6699i | 1.07832 | − | 0.720507i | 0.116221 | − | 0.993223i | \(-0.462922\pi\) |
0.962095 | + | 0.272716i | \(0.0879220\pi\) | |||||||
\(824\) | −15.2521 | − | 18.1815i | −0.531332 | − | 0.633382i | ||||
\(825\) | −36.2403 | − | 2.60854i | −1.26173 | − | 0.0908177i | ||||
\(826\) | −2.80941 | − | 3.39830i | −0.0977519 | − | 0.118242i | ||||
\(827\) | −8.42546 | + | 42.3576i | −0.292982 | + | 1.47292i | 0.501249 | + | 0.865303i | \(0.332874\pi\) |
−0.794231 | + | 0.607616i | \(0.792126\pi\) | |||||||
\(828\) | 33.1654 | − | 81.7245i | 1.15258 | − | 2.84012i | ||||
\(829\) | 25.1539 | + | 25.1539i | 0.873632 | + | 0.873632i | 0.992866 | − | 0.119234i | \(-0.0380439\pi\) |
−0.119234 | + | 0.992866i | \(0.538044\pi\) | |||||||
\(830\) | 11.4388 | − | 13.0537i | 0.397045 | − | 0.453100i | ||||
\(831\) | 29.5904 | + | 12.2567i | 1.02648 | + | 0.425181i | ||||
\(832\) | −3.07743 | − | 4.39743i | −0.106691 | − | 0.152453i | ||||
\(833\) | 3.35290 | + | 59.3171i | 0.116171 | + | 2.05521i | ||||
\(834\) | −8.56274 | − | 83.8491i | −0.296503 | − | 2.90346i | ||||
\(835\) | −2.54050 | − | 15.7003i | −0.0879176 | − | 0.543330i | ||||
\(836\) | −12.9594 | − | 30.6616i | −0.448210 | − | 1.06045i | ||||
\(837\) | −39.5029 | − | 39.5029i | −1.36542 | − | 1.36542i | ||||
\(838\) | −26.8135 | − | 14.2085i | −0.926259 | − | 0.490824i | ||||
\(839\) | 32.7696 | + | 6.51827i | 1.13133 | + | 0.225036i | 0.725039 | − | 0.688707i | \(-0.241822\pi\) |
0.406292 | + | 0.913743i | \(0.366822\pi\) | |||||||
\(840\) | −11.1188 | + | 89.7026i | −0.383634 | + | 3.09503i | ||||
\(841\) | 2.17074 | + | 5.24064i | 0.0748532 | + | 0.180712i | ||||
\(842\) | 5.92715 | + | 10.9937i | 0.204263 | + | 0.378868i | ||||
\(843\) | −73.7876 | + | 49.3033i | −2.54138 | + | 1.69810i | ||||
\(844\) | 26.1878 | − | 0.188204i | 0.901423 | − | 0.00647824i | ||||
\(845\) | 28.0443 | + | 1.00800i | 0.964752 | + | 0.0346761i | ||||
\(846\) | −10.2583 | + | 12.5918i | −0.352688 | + | 0.432915i | ||||
\(847\) | 24.8007 | − | 4.93316i | 0.852161 | − | 0.169505i | ||||
\(848\) | −0.137496 | − | 9.56553i | −0.00472163 | − | 0.328481i | ||||
\(849\) | − | 39.5905i | − | 1.35874i | ||||||
\(850\) | 29.0461 | − | 2.51520i | 0.996272 | − | 0.0862705i | ||||
\(851\) | 35.9092 | 1.23095 | ||||||||
\(852\) | 15.4802 | + | 2.96372i | 0.530345 | + | 0.101536i | ||||
\(853\) | −4.54863 | − | 22.8675i | −0.155742 | − | 0.782969i | −0.977137 | − | 0.212609i | \(-0.931804\pi\) |
0.821395 | − | 0.570360i | \(-0.193196\pi\) | |||||||
\(854\) | 16.5566 | − | 20.3228i | 0.566556 | − | 0.695432i | ||||
\(855\) | −3.71636 | + | 103.396i | −0.127097 | + | 3.53607i | ||||
\(856\) | 14.5317 | − | 1.58959i | 0.496684 | − | 0.0543312i | ||||
\(857\) | 14.7329 | + | 22.0493i | 0.503265 | + | 0.753189i | 0.992927 | − | 0.118723i | \(-0.0378800\pi\) |
−0.489663 | + | 0.871912i | \(0.662880\pi\) | |||||||
\(858\) | −6.06900 | + | 3.27204i | −0.207192 | + | 0.111706i | ||||
\(859\) | −25.9168 | + | 10.7351i | −0.884270 | + | 0.366277i | −0.778151 | − | 0.628077i | \(-0.783842\pi\) |
−0.106119 | + | 0.994353i | \(0.533842\pi\) | |||||||
\(860\) | −9.33047 | − | 2.13640i | −0.318166 | − | 0.0728507i | ||||
\(861\) | 12.0029 | − | 60.3428i | 0.409059 | − | 2.05648i | ||||
\(862\) | 9.76800 | + | 5.17606i | 0.332699 | + | 0.176297i | ||||
\(863\) | −18.4466 | + | 18.4466i | −0.627928 | + | 0.627928i | −0.947546 | − | 0.319618i | \(-0.896445\pi\) |
0.319618 | + | 0.947546i | \(0.396445\pi\) | |||||||
\(864\) | 40.0963 | + | 47.1056i | 1.36410 | + | 1.60257i | ||||
\(865\) | 8.68747 | − | 1.40574i | 0.295383 | − | 0.0477966i | ||||
\(866\) | 23.8949 | − | 2.44017i | 0.811982 | − | 0.0829202i | ||||
\(867\) | 24.0665 | − | 46.6688i | 0.817342 | − | 1.58496i | ||||
\(868\) | 9.55610 | + | 46.3003i | 0.324355 | + | 1.57153i | ||||
\(869\) | 3.42512 | − | 8.26898i | 0.116189 | − | 0.280506i | ||||
\(870\) | 37.9049 | − | 43.2563i | 1.28510 | − | 1.46653i | ||||
\(871\) | 0.314179 | − | 0.314179i | 0.0106455 | − | 0.0106455i | ||||
\(872\) | −11.6278 | + | 39.8740i | −0.393766 | + | 1.35030i | ||||
\(873\) | 88.9961 | + | 17.7024i | 3.01206 | + | 0.599136i | ||||
\(874\) | −51.9917 | + | 42.9820i | −1.75864 | + | 1.45389i | ||||
\(875\) | −23.9468 | − | 45.8556i | −0.809548 | − | 1.55020i | ||||
\(876\) | −6.28569 | + | 4.26562i | −0.212374 | + | 0.144122i | ||||
\(877\) | −13.3258 | − | 19.9435i | −0.449980 | − | 0.673443i | 0.535247 | − | 0.844696i | \(-0.320219\pi\) |
−0.985227 | + | 0.171253i | \(0.945219\pi\) | |||||||
\(878\) | 0.405982 | − | 4.27959i | 0.0137012 | − | 0.144429i | ||||
\(879\) | −54.6231 | − | 36.4980i | −1.84239 | − | 1.23105i | ||||
\(880\) | 20.7223 | − | 3.65950i | 0.698547 | − | 0.123362i | ||||
\(881\) | −44.7081 | + | 8.89300i | −1.50625 | + | 0.299613i | −0.878101 | − | 0.478476i | \(-0.841189\pi\) |
−0.628154 | + | 0.778089i | \(0.716189\pi\) | |||||||
\(882\) | 38.2308 | − | 127.680i | 1.28730 | − | 4.29920i | ||||
\(883\) | −27.6490 | −0.930462 | −0.465231 | − | 0.885189i | \(-0.654029\pi\) | ||||
−0.465231 | + | 0.885189i | \(0.654029\pi\) | |||||||
\(884\) | 4.39527 | − | 3.36007i | 0.147829 | − | 0.113011i | ||||
\(885\) | 3.95991 | − | 2.44488i | 0.133111 | − | 0.0821837i | ||||
\(886\) | 14.8465 | − | 49.5830i | 0.498777 | − | 1.66577i | ||||
\(887\) | −5.71744 | − | 28.7435i | −0.191973 | − | 0.965113i | −0.949848 | − | 0.312713i | \(-0.898762\pi\) |
0.757875 | − | 0.652400i | \(-0.226238\pi\) | |||||||
\(888\) | −21.4893 | + | 41.2677i | −0.721134 | + | 1.38485i | ||||
\(889\) | 11.7039 | + | 7.82030i | 0.392536 | + | 0.262284i | ||||
\(890\) | 22.4188 | − | 11.0666i | 0.751479 | − | 0.370954i | ||||
\(891\) | 27.6907 | − | 18.5023i | 0.927673 | − | 0.619852i | ||||
\(892\) | −9.96501 | − | 14.6841i | −0.333653 | − | 0.491661i | ||||
\(893\) | 11.4767 | − | 4.75382i | 0.384054 | − | 0.159080i | ||||
\(894\) | −47.4632 | − | 57.4121i | −1.58741 | − | 1.92015i | ||||
\(895\) | 0.0630678 | + | 0.169209i | 0.00210813 | + | 0.00565603i | ||||
\(896\) | −6.43972 | − | 51.9513i | −0.215136 | − | 1.73557i | ||||
\(897\) | 9.88002 | + | 9.88002i | 0.329884 | + | 0.329884i | ||||
\(898\) | −42.3263 | + | 13.0058i | −1.41245 | + | 0.434009i | ||||
\(899\) | 11.5117 | − | 27.7918i | 0.383938 | − | 0.926908i | ||||
\(900\) | −63.1885 | − | 16.8784i | −2.10628 | − | 0.562614i | ||||
\(901\) | 9.84522 | − | 0.556501i | 0.327992 | − | 0.0185397i | ||||
\(902\) | −14.2491 | + | 1.45513i | −0.474444 | + | 0.0484506i | ||||
\(903\) | 28.2609 | + | 11.7060i | 0.940464 | + | 0.389553i | ||||
\(904\) | −27.4341 | + | 15.0463i | −0.912444 | + | 0.500431i | ||||
\(905\) | −43.6104 | − | 10.3159i | −1.44966 | − | 0.342912i | ||||
\(906\) | 52.4898 | + | 27.8143i | 1.74386 | + | 0.924069i | ||||
\(907\) | −17.4275 | − | 3.46654i | −0.578669 | − | 0.115104i | −0.102927 | − | 0.994689i | \(-0.532821\pi\) |
−0.475743 | + | 0.879584i | \(0.657821\pi\) | |||||||
\(908\) | −22.7039 | − | 22.3799i | −0.753456 | − | 0.742703i | ||||
\(909\) | 58.2735 | − | 24.1377i | 1.93281 | − | 0.800596i | ||||
\(910\) | −8.50349 | − | 4.90507i | −0.281888 | − | 0.162601i | ||||
\(911\) | 18.7799 | − | 12.5483i | 0.622205 | − | 0.415744i | −0.204114 | − | 0.978947i | \(-0.565431\pi\) |
0.826318 | + | 0.563203i | \(0.190431\pi\) | |||||||
\(912\) | −18.2823 | − | 85.4720i | −0.605387 | − | 2.83026i | ||||
\(913\) | 10.7366 | + | 7.17396i | 0.355329 | + | 0.237424i | ||||
\(914\) | −2.28704 | − | 1.86321i | −0.0756486 | − | 0.0616296i | ||||
\(915\) | 18.8486 | + | 20.2541i | 0.623116 | + | 0.669579i | ||||
\(916\) | −24.5870 | − | 4.70723i | −0.812378 | − | 0.155531i | ||||
\(917\) | − | 17.1954i | − | 0.567841i | ||||||
\(918\) | −46.7732 | + | 43.3369i | −1.54375 | + | 1.43033i | ||||
\(919\) | − | 7.45779i | − | 0.246010i | −0.992406 | − | 0.123005i | \(-0.960747\pi\) | ||
0.992406 | − | 0.123005i | \(-0.0392531\pi\) | |||||||
\(920\) | −19.1500 | − | 38.1019i | −0.631358 | − | 1.25618i | ||||
\(921\) | 16.2613 | + | 81.7512i | 0.535829 | + | 2.69379i | ||||
\(922\) | −4.92696 | + | 6.04770i | −0.162261 | + | 0.199171i | ||||
\(923\) | −0.951013 | + | 1.42329i | −0.0313030 | + | 0.0468482i | ||||
\(924\) | −67.2459 | + | 0.483275i | −2.21223 | + | 0.0158986i | ||||
\(925\) | −3.30658 | − | 26.4227i | −0.108720 | − | 0.868774i | ||||
\(926\) | −11.8935 | − | 22.0602i | −0.390846 | − | 0.724943i | ||||
\(927\) | −50.6994 | + | 21.0004i | −1.66519 | + | 0.689743i | ||||
\(928\) | −15.1717 | + | 29.6536i | −0.498034 | + | 0.973428i | ||||
\(929\) | 43.8254 | + | 8.71741i | 1.43786 | + | 0.286009i | 0.851635 | − | 0.524136i | \(-0.175612\pi\) |
0.586230 | + | 0.810145i | \(0.300612\pi\) | |||||||
\(930\) | −49.7909 | + | 3.28301i | −1.63271 | + | 0.107654i | ||||
\(931\) | −72.0822 | + | 72.0822i | −2.36240 | + | 2.36240i | ||||
\(932\) | 7.77319 | + | 18.3912i | 0.254619 | + | 0.602423i | ||||
\(933\) | −18.6810 | + | 45.1000i | −0.611590 | + | 1.47651i | ||||
\(934\) | −15.2588 | + | 1.55824i | −0.499283 | + | 0.0509872i | ||||
\(935\) | 4.66760 | + | 21.1824i | 0.152647 | + | 0.692737i | ||||
\(936\) | −11.8373 | + | 3.73061i | −0.386913 | + | 0.121939i | ||||
\(937\) | −12.2093 | + | 29.4759i | −0.398862 | + | 0.962937i | 0.589075 | + | 0.808078i | \(0.299492\pi\) |
−0.987937 | + | 0.154859i | \(0.950508\pi\) | |||||||
\(938\) | 4.14240 | − | 1.27286i | 0.135254 | − | 0.0415602i | ||||
\(939\) | −64.0910 | − | 64.0910i | −2.09153 | − | 2.09153i | ||||
\(940\) | 1.31004 | + | 7.74272i | 0.0427287 | + | 0.252540i | ||||
\(941\) | −53.0362 | − | 10.5495i | −1.72893 | − | 0.343905i | −0.772310 | − | 0.635246i | \(-0.780899\pi\) |
−0.956619 | + | 0.291341i | \(0.905899\pi\) | |||||||
\(942\) | −13.8539 | − | 16.7579i | −0.451386 | − | 0.546002i | ||||
\(943\) | 11.1078 | + | 26.8166i | 0.361720 | + | 0.873270i | ||||
\(944\) | −1.87826 | + | 1.93305i | −0.0611322 | + | 0.0629153i | ||||
\(945\) | 102.907 | + | 47.0242i | 3.34755 | + | 1.52970i | ||||
\(946\) | 0.672541 | − | 7.08949i | 0.0218662 | − | 0.230499i | ||||
\(947\) | 3.39667 | + | 2.26958i | 0.110377 | + | 0.0737515i | 0.609534 | − | 0.792760i | \(-0.291357\pi\) |
−0.499157 | + | 0.866512i | \(0.666357\pi\) | |||||||
\(948\) | 12.9158 | − | 19.6338i | 0.419485 | − | 0.637677i | ||||
\(949\) | −0.160952 | − | 0.809161i | −0.00522473 | − | 0.0262665i | ||||
\(950\) | 36.4146 | + | 34.2987i | 1.18144 | + | 1.11280i | ||||
\(951\) | 40.2126 | 1.30398 | ||||||||
\(952\) | 53.2235 | − | 8.88539i | 1.72498 | − | 0.287977i | ||||
\(953\) | 12.3069i | 0.398660i | 0.979932 | + | 0.199330i | \(0.0638766\pi\) | ||||
−0.979932 | + | 0.199330i | \(0.936123\pi\) | |||||||
\(954\) | −21.1918 | − | 6.34539i | −0.686110 | − | 0.205440i | ||||
\(955\) | −16.4640 | − | 17.6917i | −0.532763 | − | 0.572489i | ||||
\(956\) | 16.3424 | − | 24.8428i | 0.528552 | − | 0.803474i | ||||
\(957\) | 35.5781 | + | 23.7725i | 1.15008 | + | 0.768456i | ||||
\(958\) | −47.9972 | − | 4.55323i | −1.55072 | − | 0.147108i | ||||
\(959\) | 46.5544 | + | 69.6736i | 1.50332 | + | 2.24988i | ||||
\(960\) | 55.2476 | + | 0.793844i | 1.78311 | + | 0.0256212i | ||||
\(961\) | 4.52824 | − | 1.87566i | 0.146072 | − | 0.0605052i | ||||
\(962\) | −3.21970 | − | 3.89460i | −0.103807 | − | 0.125567i | ||||
\(963\) | 6.59470 | − | 33.1538i | 0.212511 | − | 1.06837i | ||||
\(964\) | −0.431167 | + | 1.06246i | −0.0138869 | + | 0.0342196i | ||||
\(965\) | 13.8354 | − | 58.4893i | 0.445378 | − | 1.88284i | ||||
\(966\) | 40.0277 | + | 130.267i | 1.28787 | + | 4.19126i | ||||
\(967\) | 22.2182 | − | 53.6396i | 0.714491 | − | 1.72493i | 0.0260278 | − | 0.999661i | \(-0.491714\pi\) |
0.688463 | − | 0.725272i | \(-0.258286\pi\) | |||||||
\(968\) | −4.64618 | − | 14.7424i | −0.149334 | − | 0.473839i | ||||
\(969\) | 87.2315 | − | 22.5356i | 2.80228 | − | 0.723947i | ||||
\(970\) | 34.7960 | − | 26.7215i | 1.11723 | − | 0.857977i | ||||
\(971\) | 18.4211 | + | 7.63026i | 0.591160 | + | 0.244867i | 0.658150 | − | 0.752887i | \(-0.271339\pi\) |
−0.0669895 | + | 0.997754i | \(0.521339\pi\) | |||||||
\(972\) | 20.1111 | − | 8.50012i | 0.645063 | − | 0.272641i | ||||
\(973\) | 63.1307 | + | 63.1307i | 2.02388 | + | 2.02388i | ||||
\(974\) | −2.31581 | − | 1.22715i | −0.0742032 | − | 0.0393203i | ||||
\(975\) | 6.36015 | − | 8.17969i | 0.203688 | − | 0.261960i | ||||
\(976\) | −13.4498 | − | 8.70991i | −0.430519 | − | 0.278797i | ||||
\(977\) | −18.1960 | + | 7.53703i | −0.582141 | + | 0.241131i | −0.654266 | − | 0.756265i | \(-0.727022\pi\) |
0.0721243 | + | 0.997396i | \(0.477022\pi\) | |||||||
\(978\) | −29.0181 | + | 15.6448i | −0.927896 | + | 0.500266i | ||||
\(979\) | 10.3339 | + | 15.4658i | 0.330273 | + | 0.494289i | ||||
\(980\) | −34.2470 | − | 54.5875i | −1.09398 | − | 1.74373i | ||||
\(981\) | 79.8579 | + | 53.3593i | 2.54967 | + | 1.70363i | ||||
\(982\) | −11.2105 | + | 13.7606i | −0.357742 | + | 0.439118i | ||||
\(983\) | −22.6886 | + | 4.51305i | −0.723655 | + | 0.143944i | −0.543157 | − | 0.839631i | \(-0.682771\pi\) |
−0.180498 | + | 0.983575i | \(0.557771\pi\) | |||||||
\(984\) | −37.4656 | − | 3.28267i | −1.19436 | − | 0.104648i | ||||
\(985\) | 8.21686 | − | 5.07316i | 0.261811 | − | 0.161644i | ||||
\(986\) | −31.1973 | − | 14.3385i | −0.993523 | − | 0.456632i | ||||
\(987\) | − | 25.0954i | − | 0.798794i | ||||||
\(988\) | 9.32340 | + | 1.78498i | 0.296617 | + | 0.0567879i | ||||
\(989\) | −14.1541 | + | 2.81542i | −0.450074 | + | 0.0895253i | ||||
\(990\) | 6.33245 | − | 48.2453i | 0.201258 | − | 1.53334i | ||||
\(991\) | −20.1923 | + | 30.2199i | −0.641429 | + | 0.959967i | 0.358224 | + | 0.933636i | \(0.383382\pi\) |
−0.999653 | + | 0.0263313i | \(0.991618\pi\) | |||||||
\(992\) | 27.4995 | − | 8.88444i | 0.873111 | − | 0.282081i | ||||
\(993\) | 16.4828 | + | 24.6682i | 0.523065 | + | 0.782821i | ||||
\(994\) | −14.6957 | + | 7.92307i | −0.466121 | + | 0.251304i | ||||
\(995\) | 20.5475 | − | 28.4810i | 0.651401 | − | 0.902907i | ||||
\(996\) | 24.1466 | + | 23.8020i | 0.765115 | + | 0.754196i | ||||
\(997\) | −28.0244 | − | 5.57440i | −0.887542 | − | 0.176543i | −0.269793 | − | 0.962918i | \(-0.586955\pi\) |
−0.617749 | + | 0.786375i | \(0.711955\pi\) | |||||||
\(998\) | −21.6987 | + | 40.9487i | −0.686861 | + | 1.29621i | ||||
\(999\) | 41.1814 | + | 41.1814i | 1.30292 | + | 1.30292i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 680.2.co.a.419.94 | yes | 832 | |
5.4 | even | 2 | inner | 680.2.co.a.419.11 | yes | 832 | |
8.3 | odd | 2 | inner | 680.2.co.a.419.16 | yes | 832 | |
17.14 | odd | 16 | inner | 680.2.co.a.99.89 | yes | 832 | |
40.19 | odd | 2 | inner | 680.2.co.a.419.89 | yes | 832 | |
85.14 | odd | 16 | inner | 680.2.co.a.99.16 | yes | 832 | |
136.99 | even | 16 | inner | 680.2.co.a.99.11 | ✓ | 832 | |
680.99 | even | 16 | inner | 680.2.co.a.99.94 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
680.2.co.a.99.11 | ✓ | 832 | 136.99 | even | 16 | inner | |
680.2.co.a.99.16 | yes | 832 | 85.14 | odd | 16 | inner | |
680.2.co.a.99.89 | yes | 832 | 17.14 | odd | 16 | inner | |
680.2.co.a.99.94 | yes | 832 | 680.99 | even | 16 | inner | |
680.2.co.a.419.11 | yes | 832 | 5.4 | even | 2 | inner | |
680.2.co.a.419.16 | yes | 832 | 8.3 | odd | 2 | inner | |
680.2.co.a.419.89 | yes | 832 | 40.19 | odd | 2 | inner | |
680.2.co.a.419.94 | yes | 832 | 1.1 | even | 1 | trivial |