Properties

Label 630.2.t.b.311.11
Level 630
Weight 2
Character 630.311
Analytic conductor 5.031
Analytic rank 0
Dimension 28
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 630.t (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.03057532734\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 311.11
Character \(\chi\) \(=\) 630.311
Dual form 630.2.t.b.551.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.995677 - 1.41726i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-0.153652 - 1.72522i) q^{6} +(-2.36047 - 1.19507i) q^{7} +1.00000i q^{8} +(-1.01725 + 2.82227i) q^{9} +O(q^{10})\) \(q+(0.866025 + 0.500000i) q^{2} +(-0.995677 - 1.41726i) q^{3} +(0.500000 + 0.866025i) q^{4} -1.00000 q^{5} +(-0.153652 - 1.72522i) q^{6} +(-2.36047 - 1.19507i) q^{7} +1.00000i q^{8} +(-1.01725 + 2.82227i) q^{9} +(-0.866025 - 0.500000i) q^{10} +3.17454i q^{11} +(0.729545 - 1.57091i) q^{12} +(-1.82400 - 1.05309i) q^{13} +(-1.44669 - 2.21519i) q^{14} +(0.995677 + 1.41726i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-0.0900212 + 0.155921i) q^{17} +(-2.29210 + 1.93553i) q^{18} +(-5.17571 + 2.98820i) q^{19} +(-0.500000 - 0.866025i) q^{20} +(0.656542 + 4.53530i) q^{21} +(-1.58727 + 2.74924i) q^{22} -0.789076i q^{23} +(1.41726 - 0.995677i) q^{24} +1.00000 q^{25} +(-1.05309 - 1.82400i) q^{26} +(5.01274 - 1.36835i) q^{27} +(-0.145275 - 2.64176i) q^{28} +(-6.84694 + 3.95308i) q^{29} +(0.153652 + 1.72522i) q^{30} +(-8.40319 + 4.85159i) q^{31} +(-0.866025 + 0.500000i) q^{32} +(4.49916 - 3.16082i) q^{33} +(-0.155921 + 0.0900212i) q^{34} +(2.36047 + 1.19507i) q^{35} +(-2.95278 + 0.530167i) q^{36} +(4.27097 + 7.39754i) q^{37} -5.97640 q^{38} +(0.323618 + 3.63362i) q^{39} -1.00000i q^{40} +(5.85731 - 10.1452i) q^{41} +(-1.69907 + 4.25596i) q^{42} +(-1.84922 - 3.20294i) q^{43} +(-2.74924 + 1.58727i) q^{44} +(1.01725 - 2.82227i) q^{45} +(0.394538 - 0.683360i) q^{46} +(-1.04181 + 1.80446i) q^{47} +(1.72522 - 0.153652i) q^{48} +(4.14362 + 5.64184i) q^{49} +(0.866025 + 0.500000i) q^{50} +(0.310613 - 0.0276638i) q^{51} -2.10618i q^{52} +(0.613086 + 0.353965i) q^{53} +(5.02534 + 1.32134i) q^{54} -3.17454i q^{55} +(1.19507 - 2.36047i) q^{56} +(9.38840 + 4.36005i) q^{57} -7.90616 q^{58} +(-5.88665 - 10.1960i) q^{59} +(-0.729545 + 1.57091i) q^{60} +(2.50805 + 1.44802i) q^{61} -9.70317 q^{62} +(5.77400 - 5.44619i) q^{63} -1.00000 q^{64} +(1.82400 + 1.05309i) q^{65} +(5.47679 - 0.487774i) q^{66} +(-4.97848 - 8.62299i) q^{67} -0.180042 q^{68} +(-1.11833 + 0.785665i) q^{69} +(1.44669 + 2.21519i) q^{70} -10.1885i q^{71} +(-2.82227 - 1.01725i) q^{72} +(-5.09156 - 2.93961i) q^{73} +8.54194i q^{74} +(-0.995677 - 1.41726i) q^{75} +(-5.17571 - 2.98820i) q^{76} +(3.79380 - 7.49341i) q^{77} +(-1.53655 + 3.30862i) q^{78} +(-5.50268 + 9.53091i) q^{79} +(0.500000 - 0.866025i) q^{80} +(-6.93039 - 5.74192i) q^{81} +(10.1452 - 5.85731i) q^{82} +(4.41475 + 7.64657i) q^{83} +(-3.59941 + 2.83623i) q^{84} +(0.0900212 - 0.155921i) q^{85} -3.69843i q^{86} +(12.4199 + 5.76790i) q^{87} -3.17454 q^{88} +(2.91136 + 5.04262i) q^{89} +(2.29210 - 1.93553i) q^{90} +(3.04699 + 4.66559i) q^{91} +(0.683360 - 0.394538i) q^{92} +(15.2428 + 7.07890i) q^{93} +(-1.80446 + 1.04181i) q^{94} +(5.17571 - 2.98820i) q^{95} +(1.57091 + 0.729545i) q^{96} +(-3.79334 + 2.19008i) q^{97} +(0.767563 + 6.95779i) q^{98} +(-8.95941 - 3.22932i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} + O(q^{10}) \) \( 28q - 2q^{3} + 14q^{4} - 28q^{5} - 8q^{6} - 4q^{7} + 6q^{9} - 4q^{12} + 6q^{14} + 2q^{15} - 14q^{16} - 6q^{17} - 4q^{18} - 6q^{19} - 14q^{20} + 6q^{21} - 6q^{22} - 4q^{24} + 28q^{25} + 12q^{26} + 28q^{27} - 8q^{28} + 8q^{30} - 12q^{31} + 26q^{33} + 4q^{35} - 6q^{36} + 4q^{37} - 12q^{38} + 54q^{39} + 18q^{41} - 32q^{42} + 28q^{43} - 6q^{45} - 18q^{46} + 30q^{47} - 2q^{48} - 14q^{49} + 34q^{51} - 42q^{53} + 14q^{54} + 6q^{56} - 30q^{57} - 12q^{58} - 24q^{59} + 4q^{60} + 24q^{61} - 12q^{62} + 44q^{63} - 28q^{64} - 10q^{66} - 40q^{67} - 12q^{68} + 8q^{69} - 6q^{70} + 4q^{72} + 6q^{73} - 2q^{75} - 6q^{76} - 24q^{77} + 14q^{78} + 2q^{79} + 14q^{80} - 46q^{81} + 24q^{82} - 18q^{83} + 18q^{84} + 6q^{85} + 104q^{87} - 12q^{88} + 6q^{89} + 4q^{90} + 66q^{91} - 30q^{92} + 40q^{93} + 42q^{94} + 6q^{95} + 4q^{96} - 72q^{97} - 24q^{98} - 42q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(281\) \(451\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 + 0.500000i 0.612372 + 0.353553i
\(3\) −0.995677 1.41726i −0.574855 0.818256i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.00000 −0.447214
\(6\) −0.153652 1.72522i −0.0627280 0.704319i
\(7\) −2.36047 1.19507i −0.892173 0.451693i
\(8\) 1.00000i 0.353553i
\(9\) −1.01725 + 2.82227i −0.339084 + 0.940756i
\(10\) −0.866025 0.500000i −0.273861 0.158114i
\(11\) 3.17454i 0.957161i 0.878044 + 0.478581i \(0.158849\pi\)
−0.878044 + 0.478581i \(0.841151\pi\)
\(12\) 0.729545 1.57091i 0.210601 0.453483i
\(13\) −1.82400 1.05309i −0.505887 0.292074i 0.225254 0.974300i \(-0.427679\pi\)
−0.731141 + 0.682226i \(0.761012\pi\)
\(14\) −1.44669 2.21519i −0.386645 0.592035i
\(15\) 0.995677 + 1.41726i 0.257083 + 0.365935i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −0.0900212 + 0.155921i −0.0218333 + 0.0378165i −0.876736 0.480973i \(-0.840284\pi\)
0.854902 + 0.518789i \(0.173617\pi\)
\(18\) −2.29210 + 1.93553i −0.540253 + 0.456209i
\(19\) −5.17571 + 2.98820i −1.18739 + 0.685540i −0.957713 0.287727i \(-0.907101\pi\)
−0.229678 + 0.973267i \(0.573767\pi\)
\(20\) −0.500000 0.866025i −0.111803 0.193649i
\(21\) 0.656542 + 4.53530i 0.143269 + 0.989684i
\(22\) −1.58727 + 2.74924i −0.338408 + 0.586139i
\(23\) 0.789076i 0.164534i −0.996610 0.0822669i \(-0.973784\pi\)
0.996610 0.0822669i \(-0.0262160\pi\)
\(24\) 1.41726 0.995677i 0.289297 0.203242i
\(25\) 1.00000 0.200000
\(26\) −1.05309 1.82400i −0.206528 0.357716i
\(27\) 5.01274 1.36835i 0.964703 0.263340i
\(28\) −0.145275 2.64176i −0.0274544 0.499246i
\(29\) −6.84694 + 3.95308i −1.27144 + 0.734069i −0.975260 0.221062i \(-0.929048\pi\)
−0.296185 + 0.955131i \(0.595714\pi\)
\(30\) 0.153652 + 1.72522i 0.0280528 + 0.314981i
\(31\) −8.40319 + 4.85159i −1.50926 + 0.871370i −0.509316 + 0.860579i \(0.670102\pi\)
−0.999942 + 0.0107910i \(0.996565\pi\)
\(32\) −0.866025 + 0.500000i −0.153093 + 0.0883883i
\(33\) 4.49916 3.16082i 0.783202 0.550228i
\(34\) −0.155921 + 0.0900212i −0.0267403 + 0.0154385i
\(35\) 2.36047 + 1.19507i 0.398992 + 0.202003i
\(36\) −2.95278 + 0.530167i −0.492130 + 0.0883611i
\(37\) 4.27097 + 7.39754i 0.702143 + 1.21615i 0.967713 + 0.252056i \(0.0811068\pi\)
−0.265569 + 0.964092i \(0.585560\pi\)
\(38\) −5.97640 −0.969500
\(39\) 0.323618 + 3.63362i 0.0518203 + 0.581845i
\(40\) 1.00000i 0.158114i
\(41\) 5.85731 10.1452i 0.914758 1.58441i 0.107502 0.994205i \(-0.465715\pi\)
0.807256 0.590202i \(-0.200952\pi\)
\(42\) −1.69907 + 4.25596i −0.262172 + 0.656708i
\(43\) −1.84922 3.20294i −0.282003 0.488443i 0.689875 0.723929i \(-0.257665\pi\)
−0.971878 + 0.235485i \(0.924332\pi\)
\(44\) −2.74924 + 1.58727i −0.414463 + 0.239290i
\(45\) 1.01725 2.82227i 0.151643 0.420719i
\(46\) 0.394538 0.683360i 0.0581715 0.100756i
\(47\) −1.04181 + 1.80446i −0.151963 + 0.263207i −0.931949 0.362589i \(-0.881893\pi\)
0.779986 + 0.625797i \(0.215226\pi\)
\(48\) 1.72522 0.153652i 0.249014 0.0221777i
\(49\) 4.14362 + 5.64184i 0.591946 + 0.805977i
\(50\) 0.866025 + 0.500000i 0.122474 + 0.0707107i
\(51\) 0.310613 0.0276638i 0.0434945 0.00387371i
\(52\) 2.10618i 0.292074i
\(53\) 0.613086 + 0.353965i 0.0842138 + 0.0486209i 0.541516 0.840691i \(-0.317851\pi\)
−0.457302 + 0.889312i \(0.651184\pi\)
\(54\) 5.02534 + 1.32134i 0.683862 + 0.179812i
\(55\) 3.17454i 0.428055i
\(56\) 1.19507 2.36047i 0.159698 0.315431i
\(57\) 9.38840 + 4.36005i 1.24352 + 0.577503i
\(58\) −7.90616 −1.03813
\(59\) −5.88665 10.1960i −0.766377 1.32740i −0.939515 0.342506i \(-0.888724\pi\)
0.173138 0.984898i \(-0.444609\pi\)
\(60\) −0.729545 + 1.57091i −0.0941838 + 0.202804i
\(61\) 2.50805 + 1.44802i 0.321122 + 0.185400i 0.651893 0.758311i \(-0.273975\pi\)
−0.330770 + 0.943711i \(0.607309\pi\)
\(62\) −9.70317 −1.23230
\(63\) 5.77400 5.44619i 0.727455 0.686155i
\(64\) −1.00000 −0.125000
\(65\) 1.82400 + 1.05309i 0.226240 + 0.130620i
\(66\) 5.47679 0.487774i 0.674147 0.0600408i
\(67\) −4.97848 8.62299i −0.608219 1.05347i −0.991534 0.129848i \(-0.958551\pi\)
0.383315 0.923618i \(-0.374782\pi\)
\(68\) −0.180042 −0.0218333
\(69\) −1.11833 + 0.785665i −0.134631 + 0.0945830i
\(70\) 1.44669 + 2.21519i 0.172913 + 0.264766i
\(71\) 10.1885i 1.20915i −0.796549 0.604574i \(-0.793344\pi\)
0.796549 0.604574i \(-0.206656\pi\)
\(72\) −2.82227 1.01725i −0.332607 0.119884i
\(73\) −5.09156 2.93961i −0.595921 0.344055i 0.171514 0.985182i \(-0.445134\pi\)
−0.767435 + 0.641126i \(0.778467\pi\)
\(74\) 8.54194i 0.992981i
\(75\) −0.995677 1.41726i −0.114971 0.163651i
\(76\) −5.17571 2.98820i −0.593695 0.342770i
\(77\) 3.79380 7.49341i 0.432343 0.853953i
\(78\) −1.53655 + 3.30862i −0.173980 + 0.374627i
\(79\) −5.50268 + 9.53091i −0.619099 + 1.07231i 0.370551 + 0.928812i \(0.379169\pi\)
−0.989650 + 0.143499i \(0.954164\pi\)
\(80\) 0.500000 0.866025i 0.0559017 0.0968246i
\(81\) −6.93039 5.74192i −0.770043 0.637992i
\(82\) 10.1452 5.85731i 1.12034 0.646831i
\(83\) 4.41475 + 7.64657i 0.484582 + 0.839320i 0.999843 0.0177130i \(-0.00563853\pi\)
−0.515261 + 0.857033i \(0.672305\pi\)
\(84\) −3.59941 + 2.83623i −0.392728 + 0.309458i
\(85\) 0.0900212 0.155921i 0.00976417 0.0169120i
\(86\) 3.69843i 0.398812i
\(87\) 12.4199 + 5.76790i 1.33155 + 0.618384i
\(88\) −3.17454 −0.338408
\(89\) 2.91136 + 5.04262i 0.308603 + 0.534516i 0.978057 0.208337i \(-0.0668052\pi\)
−0.669454 + 0.742854i \(0.733472\pi\)
\(90\) 2.29210 1.93553i 0.241609 0.204023i
\(91\) 3.04699 + 4.66559i 0.319411 + 0.489087i
\(92\) 0.683360 0.394538i 0.0712452 0.0411335i
\(93\) 15.2428 + 7.07890i 1.58061 + 0.734047i
\(94\) −1.80446 + 1.04181i −0.186116 + 0.107454i
\(95\) 5.17571 2.98820i 0.531017 0.306583i
\(96\) 1.57091 + 0.729545i 0.160331 + 0.0744589i
\(97\) −3.79334 + 2.19008i −0.385155 + 0.222369i −0.680059 0.733158i \(-0.738046\pi\)
0.294904 + 0.955527i \(0.404712\pi\)
\(98\) 0.767563 + 6.95779i 0.0775355 + 0.702843i
\(99\) −8.95941 3.22932i −0.900455 0.324558i
\(100\) 0.500000 + 0.866025i 0.0500000 + 0.0866025i
\(101\) 16.9191 1.68352 0.841759 0.539854i \(-0.181521\pi\)
0.841759 + 0.539854i \(0.181521\pi\)
\(102\) 0.282831 + 0.131349i 0.0280044 + 0.0130055i
\(103\) 5.31108i 0.523316i −0.965161 0.261658i \(-0.915731\pi\)
0.965161 0.261658i \(-0.0842693\pi\)
\(104\) 1.05309 1.82400i 0.103264 0.178858i
\(105\) −0.656542 4.53530i −0.0640720 0.442600i
\(106\) 0.353965 + 0.613086i 0.0343801 + 0.0595482i
\(107\) 7.07344 4.08385i 0.683816 0.394801i −0.117476 0.993076i \(-0.537480\pi\)
0.801291 + 0.598275i \(0.204147\pi\)
\(108\) 3.69140 + 3.65699i 0.355205 + 0.351894i
\(109\) −0.606828 + 1.05106i −0.0581235 + 0.100673i −0.893623 0.448818i \(-0.851845\pi\)
0.835500 + 0.549491i \(0.185178\pi\)
\(110\) 1.58727 2.74924i 0.151340 0.262129i
\(111\) 6.23173 13.4186i 0.591490 1.27364i
\(112\) 2.21519 1.44669i 0.209316 0.136700i
\(113\) −1.23720 0.714296i −0.116386 0.0671953i 0.440677 0.897666i \(-0.354738\pi\)
−0.557063 + 0.830470i \(0.688072\pi\)
\(114\) 5.95057 + 8.47011i 0.557322 + 0.793299i
\(115\) 0.789076i 0.0735818i
\(116\) −6.84694 3.95308i −0.635722 0.367034i
\(117\) 4.82757 4.07657i 0.446309 0.376879i
\(118\) 11.7733i 1.08382i
\(119\) 0.398829 0.260466i 0.0365606 0.0238769i
\(120\) −1.41726 + 0.995677i −0.129378 + 0.0908925i
\(121\) 0.922270 0.0838427
\(122\) 1.44802 + 2.50805i 0.131098 + 0.227068i
\(123\) −20.2103 + 1.79997i −1.82230 + 0.162298i
\(124\) −8.40319 4.85159i −0.754629 0.435685i
\(125\) −1.00000 −0.0894427
\(126\) 7.72352 1.82954i 0.688066 0.162988i
\(127\) −15.1021 −1.34010 −0.670048 0.742318i \(-0.733726\pi\)
−0.670048 + 0.742318i \(0.733726\pi\)
\(128\) −0.866025 0.500000i −0.0765466 0.0441942i
\(129\) −2.69817 + 5.80991i −0.237561 + 0.511534i
\(130\) 1.05309 + 1.82400i 0.0923620 + 0.159976i
\(131\) −8.38038 −0.732197 −0.366099 0.930576i \(-0.619307\pi\)
−0.366099 + 0.930576i \(0.619307\pi\)
\(132\) 4.98693 + 2.31597i 0.434056 + 0.201579i
\(133\) 15.7882 0.868221i 1.36901 0.0752843i
\(134\) 9.95697i 0.860151i
\(135\) −5.01274 + 1.36835i −0.431428 + 0.117769i
\(136\) −0.155921 0.0900212i −0.0133701 0.00771925i
\(137\) 8.76324i 0.748694i −0.927289 0.374347i \(-0.877867\pi\)
0.927289 0.374347i \(-0.122133\pi\)
\(138\) −1.36133 + 0.121243i −0.115884 + 0.0103209i
\(139\) 2.76711 + 1.59759i 0.234704 + 0.135506i 0.612740 0.790285i \(-0.290067\pi\)
−0.378036 + 0.925791i \(0.623401\pi\)
\(140\) 0.145275 + 2.64176i 0.0122780 + 0.223269i
\(141\) 3.59469 0.320150i 0.302728 0.0269615i
\(142\) 5.09423 8.82346i 0.427498 0.740448i
\(143\) 3.34308 5.79038i 0.279562 0.484216i
\(144\) −1.93553 2.29210i −0.161294 0.191008i
\(145\) 6.84694 3.95308i 0.568607 0.328286i
\(146\) −2.93961 5.09156i −0.243284 0.421380i
\(147\) 3.87025 11.4900i 0.319213 0.947683i
\(148\) −4.27097 + 7.39754i −0.351072 + 0.608074i
\(149\) 6.20523i 0.508353i 0.967158 + 0.254176i \(0.0818044\pi\)
−0.967158 + 0.254176i \(0.918196\pi\)
\(150\) −0.153652 1.72522i −0.0125456 0.140864i
\(151\) 10.6607 0.867559 0.433779 0.901019i \(-0.357180\pi\)
0.433779 + 0.901019i \(0.357180\pi\)
\(152\) −2.98820 5.17571i −0.242375 0.419806i
\(153\) −0.348477 0.412675i −0.0281727 0.0333628i
\(154\) 7.03223 4.59259i 0.566673 0.370081i
\(155\) 8.40319 4.85159i 0.674961 0.389689i
\(156\) −2.98500 + 2.09707i −0.238991 + 0.167900i
\(157\) −3.80928 + 2.19929i −0.304014 + 0.175523i −0.644245 0.764819i \(-0.722828\pi\)
0.340231 + 0.940342i \(0.389495\pi\)
\(158\) −9.53091 + 5.50268i −0.758239 + 0.437769i
\(159\) −0.108775 1.22134i −0.00862640 0.0968583i
\(160\) 0.866025 0.500000i 0.0684653 0.0395285i
\(161\) −0.943000 + 1.86259i −0.0743188 + 0.146793i
\(162\) −3.13093 8.43785i −0.245989 0.662940i
\(163\) 9.94559 + 17.2263i 0.778999 + 1.34927i 0.932519 + 0.361120i \(0.117606\pi\)
−0.153520 + 0.988146i \(0.549061\pi\)
\(164\) 11.7146 0.914758
\(165\) −4.49916 + 3.16082i −0.350259 + 0.246070i
\(166\) 8.82950i 0.685302i
\(167\) 7.13831 12.3639i 0.552379 0.956749i −0.445723 0.895171i \(-0.647053\pi\)
0.998102 0.0615778i \(-0.0196132\pi\)
\(168\) −4.53530 + 0.656542i −0.349906 + 0.0506533i
\(169\) −4.28201 7.41666i −0.329385 0.570512i
\(170\) 0.155921 0.0900212i 0.0119586 0.00690431i
\(171\) −3.16849 17.6470i −0.242300 1.34950i
\(172\) 1.84922 3.20294i 0.141001 0.244222i
\(173\) −6.61430 + 11.4563i −0.502876 + 0.871007i 0.497119 + 0.867683i \(0.334391\pi\)
−0.999994 + 0.00332403i \(0.998942\pi\)
\(174\) 7.87199 + 11.2051i 0.596774 + 0.849456i
\(175\) −2.36047 1.19507i −0.178435 0.0903387i
\(176\) −2.74924 1.58727i −0.207231 0.119645i
\(177\) −8.58916 + 18.4948i −0.645600 + 1.39016i
\(178\) 5.82271i 0.436431i
\(179\) 3.52462 + 2.03494i 0.263442 + 0.152098i 0.625904 0.779900i \(-0.284730\pi\)
−0.362462 + 0.931999i \(0.618064\pi\)
\(180\) 2.95278 0.530167i 0.220087 0.0395163i
\(181\) 21.7339i 1.61547i 0.589546 + 0.807735i \(0.299307\pi\)
−0.589546 + 0.807735i \(0.700693\pi\)
\(182\) 0.305975 + 5.56401i 0.0226803 + 0.412432i
\(183\) −0.444982 4.99632i −0.0328940 0.369338i
\(184\) 0.789076 0.0581715
\(185\) −4.27097 7.39754i −0.314008 0.543878i
\(186\) 9.66123 + 13.7519i 0.708396 + 1.00834i
\(187\) −0.494979 0.285776i −0.0361964 0.0208980i
\(188\) −2.08361 −0.151963
\(189\) −13.4677 2.76061i −0.979631 0.200805i
\(190\) 5.97640 0.433574
\(191\) 6.73693 + 3.88957i 0.487467 + 0.281439i 0.723523 0.690300i \(-0.242522\pi\)
−0.236056 + 0.971739i \(0.575855\pi\)
\(192\) 0.995677 + 1.41726i 0.0718568 + 0.102282i
\(193\) −4.14681 7.18249i −0.298494 0.517007i 0.677298 0.735709i \(-0.263151\pi\)
−0.975792 + 0.218702i \(0.929818\pi\)
\(194\) −4.38017 −0.314478
\(195\) −0.323618 3.63362i −0.0231747 0.260209i
\(196\) −2.81417 + 6.40940i −0.201012 + 0.457815i
\(197\) 13.3008i 0.947643i 0.880621 + 0.473822i \(0.157126\pi\)
−0.880621 + 0.473822i \(0.842874\pi\)
\(198\) −6.14442 7.27638i −0.436665 0.517110i
\(199\) −16.1833 9.34343i −1.14720 0.662338i −0.198999 0.980000i \(-0.563769\pi\)
−0.948204 + 0.317661i \(0.897102\pi\)
\(200\) 1.00000i 0.0707107i
\(201\) −7.26405 + 15.6415i −0.512367 + 1.10327i
\(202\) 14.6524 + 8.45957i 1.03094 + 0.595213i
\(203\) 20.8862 1.14857i 1.46592 0.0806136i
\(204\) 0.179264 + 0.255167i 0.0125510 + 0.0178653i
\(205\) −5.85731 + 10.1452i −0.409092 + 0.708568i
\(206\) 2.65554 4.59953i 0.185020 0.320464i
\(207\) 2.22698 + 0.802691i 0.154786 + 0.0557909i
\(208\) 1.82400 1.05309i 0.126472 0.0730185i
\(209\) −9.48617 16.4305i −0.656172 1.13652i
\(210\) 1.69907 4.25596i 0.117247 0.293689i
\(211\) −12.1577 + 21.0578i −0.836971 + 1.44968i 0.0554450 + 0.998462i \(0.482342\pi\)
−0.892416 + 0.451214i \(0.850991\pi\)
\(212\) 0.707930i 0.0486209i
\(213\) −14.4397 + 10.1444i −0.989391 + 0.695084i
\(214\) 8.16771 0.558333
\(215\) 1.84922 + 3.20294i 0.126116 + 0.218439i
\(216\) 1.36835 + 5.01274i 0.0931048 + 0.341074i
\(217\) 25.6334 1.40963i 1.74011 0.0956917i
\(218\) −1.05106 + 0.606828i −0.0711865 + 0.0410996i
\(219\) 0.903352 + 10.1430i 0.0610429 + 0.685398i
\(220\) 2.74924 1.58727i 0.185353 0.107014i
\(221\) 0.328398 0.189601i 0.0220904 0.0127539i
\(222\) 12.1062 8.50502i 0.812512 0.570819i
\(223\) −14.5348 + 8.39165i −0.973320 + 0.561946i −0.900247 0.435380i \(-0.856614\pi\)
−0.0730731 + 0.997327i \(0.523281\pi\)
\(224\) 2.64176 0.145275i 0.176510 0.00970659i
\(225\) −1.01725 + 2.82227i −0.0678169 + 0.188151i
\(226\) −0.714296 1.23720i −0.0475143 0.0822971i
\(227\) 16.7913 1.11448 0.557240 0.830351i \(-0.311860\pi\)
0.557240 + 0.830351i \(0.311860\pi\)
\(228\) 0.918284 + 10.3106i 0.0608148 + 0.682837i
\(229\) 6.63136i 0.438213i 0.975701 + 0.219106i \(0.0703142\pi\)
−0.975701 + 0.219106i \(0.929686\pi\)
\(230\) −0.394538 + 0.683360i −0.0260151 + 0.0450594i
\(231\) −14.3975 + 2.08422i −0.947287 + 0.137132i
\(232\) −3.95308 6.84694i −0.259533 0.449524i
\(233\) 6.79700 3.92425i 0.445286 0.257086i −0.260551 0.965460i \(-0.583904\pi\)
0.705837 + 0.708374i \(0.250571\pi\)
\(234\) 6.21908 1.11662i 0.406554 0.0729960i
\(235\) 1.04181 1.80446i 0.0679599 0.117710i
\(236\) 5.88665 10.1960i 0.383189 0.663702i
\(237\) 18.9867 1.69099i 1.23332 0.109842i
\(238\) 0.475629 0.0261556i 0.0308304 0.00169542i
\(239\) −14.3341 8.27578i −0.927195 0.535316i −0.0412714 0.999148i \(-0.513141\pi\)
−0.885923 + 0.463832i \(0.846474\pi\)
\(240\) −1.72522 + 0.153652i −0.111363 + 0.00991817i
\(241\) 19.2604i 1.24067i 0.784336 + 0.620336i \(0.213004\pi\)
−0.784336 + 0.620336i \(0.786996\pi\)
\(242\) 0.798709 + 0.461135i 0.0513430 + 0.0296429i
\(243\) −1.23737 + 15.5393i −0.0793772 + 0.996845i
\(244\) 2.89604i 0.185400i
\(245\) −4.14362 5.64184i −0.264726 0.360444i
\(246\) −18.4026 8.54634i −1.17331 0.544895i
\(247\) 12.5874 0.800914
\(248\) −4.85159 8.40319i −0.308076 0.533603i
\(249\) 6.44151 13.8704i 0.408214 0.878999i
\(250\) −0.866025 0.500000i −0.0547723 0.0316228i
\(251\) −22.0186 −1.38980 −0.694901 0.719105i \(-0.744552\pi\)
−0.694901 + 0.719105i \(0.744552\pi\)
\(252\) 7.60354 + 2.27733i 0.478978 + 0.143459i
\(253\) 2.50496 0.157485
\(254\) −13.0788 7.55105i −0.820637 0.473795i
\(255\) −0.310613 + 0.0276638i −0.0194513 + 0.00173237i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −20.8442 −1.30022 −0.650112 0.759839i \(-0.725278\pi\)
−0.650112 + 0.759839i \(0.725278\pi\)
\(258\) −5.24164 + 3.68245i −0.326331 + 0.229259i
\(259\) −1.24093 22.5658i −0.0771076 1.40217i
\(260\) 2.10618i 0.130620i
\(261\) −4.19158 23.3452i −0.259453 1.44503i
\(262\) −7.25762 4.19019i −0.448377 0.258871i
\(263\) 22.5371i 1.38969i 0.719157 + 0.694847i \(0.244528\pi\)
−0.719157 + 0.694847i \(0.755472\pi\)
\(264\) 3.16082 + 4.49916i 0.194535 + 0.276904i
\(265\) −0.613086 0.353965i −0.0376616 0.0217439i
\(266\) 14.1071 + 7.14221i 0.864962 + 0.437917i
\(267\) 4.24793 9.14697i 0.259969 0.559785i
\(268\) 4.97848 8.62299i 0.304109 0.526733i
\(269\) −11.8691 + 20.5578i −0.723670 + 1.25343i 0.235849 + 0.971790i \(0.424213\pi\)
−0.959519 + 0.281643i \(0.909121\pi\)
\(270\) −5.02534 1.32134i −0.305833 0.0804143i
\(271\) −10.2170 + 5.89877i −0.620636 + 0.358325i −0.777117 0.629356i \(-0.783319\pi\)
0.156480 + 0.987681i \(0.449985\pi\)
\(272\) −0.0900212 0.155921i −0.00545834 0.00945412i
\(273\) 3.57854 8.96380i 0.216583 0.542514i
\(274\) 4.38162 7.58919i 0.264703 0.458480i
\(275\) 3.17454i 0.191432i
\(276\) −1.23957 0.575667i −0.0746133 0.0346511i
\(277\) −18.3064 −1.09993 −0.549963 0.835189i \(-0.685358\pi\)
−0.549963 + 0.835189i \(0.685358\pi\)
\(278\) 1.59759 + 2.76711i 0.0958173 + 0.165960i
\(279\) −5.14430 28.6514i −0.307981 1.71531i
\(280\) −1.19507 + 2.36047i −0.0714190 + 0.141065i
\(281\) 18.8875 10.9047i 1.12674 0.650521i 0.183624 0.982997i \(-0.441217\pi\)
0.943112 + 0.332475i \(0.107884\pi\)
\(282\) 3.27317 + 1.52009i 0.194914 + 0.0905199i
\(283\) 1.31465 0.759014i 0.0781479 0.0451187i −0.460417 0.887703i \(-0.652300\pi\)
0.538565 + 0.842584i \(0.318967\pi\)
\(284\) 8.82346 5.09423i 0.523576 0.302287i
\(285\) −9.38840 4.36005i −0.556121 0.258267i
\(286\) 5.79038 3.34308i 0.342392 0.197680i
\(287\) −25.9501 + 16.9474i −1.53179 + 1.00038i
\(288\) −0.530167 2.95278i −0.0312404 0.173994i
\(289\) 8.48379 + 14.6944i 0.499047 + 0.864374i
\(290\) 7.90616 0.464266
\(291\) 6.88086 + 3.19553i 0.403363 + 0.187325i
\(292\) 5.87922i 0.344055i
\(293\) 2.79327 4.83808i 0.163184 0.282643i −0.772825 0.634620i \(-0.781157\pi\)
0.936009 + 0.351976i \(0.114490\pi\)
\(294\) 9.09676 8.01555i 0.530534 0.467476i
\(295\) 5.88665 + 10.1960i 0.342734 + 0.593633i
\(296\) −7.39754 + 4.27097i −0.429973 + 0.248245i
\(297\) 4.34390 + 15.9132i 0.252059 + 0.923376i
\(298\) −3.10262 + 5.37389i −0.179730 + 0.311301i
\(299\) −0.830967 + 1.43928i −0.0480561 + 0.0832356i
\(300\) 0.729545 1.57091i 0.0421203 0.0906966i
\(301\) 0.537290 + 9.77038i 0.0309689 + 0.563155i
\(302\) 9.23247 + 5.33037i 0.531269 + 0.306728i
\(303\) −16.8460 23.9788i −0.967778 1.37755i
\(304\) 5.97640i 0.342770i
\(305\) −2.50805 1.44802i −0.143610 0.0829134i
\(306\) −0.0954524 0.531626i −0.00545665 0.0303910i
\(307\) 22.8941i 1.30663i −0.757085 0.653316i \(-0.773377\pi\)
0.757085 0.653316i \(-0.226623\pi\)
\(308\) 8.38638 0.461181i 0.477859 0.0262783i
\(309\) −7.52718 + 5.28812i −0.428206 + 0.300831i
\(310\) 9.70317 0.551103
\(311\) 10.8658 + 18.8202i 0.616146 + 1.06720i 0.990182 + 0.139782i \(0.0446401\pi\)
−0.374037 + 0.927414i \(0.622027\pi\)
\(312\) −3.63362 + 0.323618i −0.205713 + 0.0183212i
\(313\) −2.71267 1.56616i −0.153329 0.0885247i 0.421372 0.906888i \(-0.361549\pi\)
−0.574702 + 0.818363i \(0.694882\pi\)
\(314\) −4.39858 −0.248226
\(315\) −5.77400 + 5.44619i −0.325328 + 0.306858i
\(316\) −11.0054 −0.619099
\(317\) −24.8434 14.3433i −1.39534 0.805602i −0.401444 0.915884i \(-0.631491\pi\)
−0.993900 + 0.110281i \(0.964825\pi\)
\(318\) 0.516467 1.11210i 0.0289620 0.0623633i
\(319\) −12.5492 21.7359i −0.702622 1.21698i
\(320\) 1.00000 0.0559017
\(321\) −12.8308 5.95871i −0.716143 0.332583i
\(322\) −1.74796 + 1.14155i −0.0974098 + 0.0636161i
\(323\) 1.07601i 0.0598705i
\(324\) 1.50746 8.87286i 0.0837476 0.492936i
\(325\) −1.82400 1.05309i −0.101177 0.0584148i
\(326\) 19.8912i 1.10167i
\(327\) 2.09382 0.186480i 0.115789 0.0103124i
\(328\) 10.1452 + 5.85731i 0.560172 + 0.323416i
\(329\) 4.61560 3.01434i 0.254466 0.166186i
\(330\) −5.47679 + 0.487774i −0.301488 + 0.0268511i
\(331\) 2.85472 4.94451i 0.156909 0.271775i −0.776843 0.629694i \(-0.783180\pi\)
0.933753 + 0.357919i \(0.116514\pi\)
\(332\) −4.41475 + 7.64657i −0.242291 + 0.419660i
\(333\) −25.2225 + 4.52865i −1.38218 + 0.248169i
\(334\) 12.3639 7.13831i 0.676523 0.390591i
\(335\) 4.97848 + 8.62299i 0.272004 + 0.471124i
\(336\) −4.25596 1.69907i −0.232181 0.0926918i
\(337\) 5.41618 9.38110i 0.295038 0.511021i −0.679956 0.733253i \(-0.738001\pi\)
0.974994 + 0.222232i \(0.0713343\pi\)
\(338\) 8.56402i 0.465821i
\(339\) 0.219505 + 2.46464i 0.0119219 + 0.133861i
\(340\) 0.180042 0.00976417
\(341\) −15.4016 26.6763i −0.834042 1.44460i
\(342\) 6.07951 16.8670i 0.328742 0.912063i
\(343\) −3.03851 18.2693i −0.164064 0.986450i
\(344\) 3.20294 1.84922i 0.172691 0.0997031i
\(345\) 1.11833 0.785665i 0.0602087 0.0422988i
\(346\) −11.4563 + 6.61430i −0.615895 + 0.355587i
\(347\) 16.7740 9.68446i 0.900474 0.519889i 0.0231203 0.999733i \(-0.492640\pi\)
0.877354 + 0.479844i \(0.159307\pi\)
\(348\) 1.21480 + 13.6399i 0.0651199 + 0.731175i
\(349\) 17.1942 9.92710i 0.920387 0.531385i 0.0366282 0.999329i \(-0.488338\pi\)
0.883758 + 0.467944i \(0.155005\pi\)
\(350\) −1.44669 2.21519i −0.0773289 0.118407i
\(351\) −10.5843 2.78298i −0.564946 0.148544i
\(352\) −1.58727 2.74924i −0.0846019 0.146535i
\(353\) 11.4940 0.611763 0.305881 0.952070i \(-0.401049\pi\)
0.305881 + 0.952070i \(0.401049\pi\)
\(354\) −16.6858 + 11.7224i −0.886842 + 0.623039i
\(355\) 10.1885i 0.540747i
\(356\) −2.91136 + 5.04262i −0.154302 + 0.267258i
\(357\) −0.766253 0.305904i −0.0405544 0.0161902i
\(358\) 2.03494 + 3.52462i 0.107550 + 0.186282i
\(359\) −19.1794 + 11.0732i −1.01225 + 0.584422i −0.911849 0.410525i \(-0.865346\pi\)
−0.100400 + 0.994947i \(0.532012\pi\)
\(360\) 2.82227 + 1.01725i 0.148747 + 0.0536140i
\(361\) 8.35868 14.4777i 0.439930 0.761982i
\(362\) −10.8670 + 18.8221i −0.571155 + 0.989269i
\(363\) −0.918283 1.30710i −0.0481974 0.0686048i
\(364\) −2.51702 + 4.97156i −0.131928 + 0.260581i
\(365\) 5.09156 + 2.93961i 0.266504 + 0.153866i
\(366\) 2.11279 4.54943i 0.110437 0.237802i
\(367\) 20.1428i 1.05144i −0.850656 0.525722i \(-0.823795\pi\)
0.850656 0.525722i \(-0.176205\pi\)
\(368\) 0.683360 + 0.394538i 0.0356226 + 0.0205667i
\(369\) 22.6740 + 26.8511i 1.18036 + 1.39781i
\(370\) 8.54194i 0.444074i
\(371\) −1.02416 1.56820i −0.0531716 0.0814171i
\(372\) 1.49091 + 16.7401i 0.0773000 + 0.867935i
\(373\) 27.2910 1.41308 0.706538 0.707675i \(-0.250256\pi\)
0.706538 + 0.707675i \(0.250256\pi\)
\(374\) −0.285776 0.494979i −0.0147771 0.0255948i
\(375\) 0.995677 + 1.41726i 0.0514166 + 0.0731870i
\(376\) −1.80446 1.04181i −0.0930579 0.0537270i
\(377\) 16.6518 0.857610
\(378\) −10.2831 9.12461i −0.528904 0.469319i
\(379\) −19.6022 −1.00690 −0.503448 0.864026i \(-0.667935\pi\)
−0.503448 + 0.864026i \(0.667935\pi\)
\(380\) 5.17571 + 2.98820i 0.265509 + 0.153291i
\(381\) 15.0368 + 21.4036i 0.770360 + 1.09654i
\(382\) 3.88957 + 6.73693i 0.199008 + 0.344691i
\(383\) −3.97158 −0.202938 −0.101469 0.994839i \(-0.532354\pi\)
−0.101469 + 0.994839i \(0.532354\pi\)
\(384\) 0.153652 + 1.72522i 0.00784100 + 0.0880399i
\(385\) −3.79380 + 7.49341i −0.193350 + 0.381900i
\(386\) 8.29363i 0.422134i
\(387\) 10.9207 1.96079i 0.555129 0.0996724i
\(388\) −3.79334 2.19008i −0.192577 0.111185i
\(389\) 18.8926i 0.957891i 0.877845 + 0.478945i \(0.158981\pi\)
−0.877845 + 0.478945i \(0.841019\pi\)
\(390\) 1.53655 3.30862i 0.0778062 0.167538i
\(391\) 0.123034 + 0.0710336i 0.00622209 + 0.00359232i
\(392\) −5.64184 + 4.14362i −0.284956 + 0.209285i
\(393\) 8.34415 + 11.8772i 0.420907 + 0.599124i
\(394\) −6.65040 + 11.5188i −0.335042 + 0.580311i
\(395\) 5.50268 9.53091i 0.276870 0.479552i
\(396\) −1.68304 9.37374i −0.0845758 0.471048i
\(397\) −30.5990 + 17.6664i −1.53572 + 0.886649i −0.536640 + 0.843812i \(0.680307\pi\)
−0.999082 + 0.0428377i \(0.986360\pi\)
\(398\) −9.34343 16.1833i −0.468344 0.811195i
\(399\) −16.9505 21.5115i −0.848584 1.07692i
\(400\) −0.500000 + 0.866025i −0.0250000 + 0.0433013i
\(401\) 0.623333i 0.0311278i 0.999879 + 0.0155639i \(0.00495434\pi\)
−0.999879 + 0.0155639i \(0.995046\pi\)
\(402\) −14.1116 + 9.91393i −0.703823 + 0.494462i
\(403\) 20.4366 1.01802
\(404\) 8.45957 + 14.6524i 0.420879 + 0.728984i
\(405\) 6.93039 + 5.74192i 0.344374 + 0.285318i
\(406\) 18.6623 + 9.44841i 0.926192 + 0.468916i
\(407\) −23.4838 + 13.5584i −1.16405 + 0.672064i
\(408\) 0.0276638 + 0.310613i 0.00136956 + 0.0153776i
\(409\) 1.20408 0.695174i 0.0595377 0.0343741i −0.469936 0.882701i \(-0.655723\pi\)
0.529473 + 0.848327i \(0.322390\pi\)
\(410\) −10.1452 + 5.85731i −0.501033 + 0.289272i
\(411\) −12.4198 + 8.72536i −0.612623 + 0.430390i
\(412\) 4.59953 2.65554i 0.226603 0.130829i
\(413\) 1.71037 + 31.1023i 0.0841616 + 1.53044i
\(414\) 1.52728 + 1.80864i 0.0750617 + 0.0888900i
\(415\) −4.41475 7.64657i −0.216711 0.375355i
\(416\) 2.10618 0.103264
\(417\) −0.490946 5.51241i −0.0240417 0.269944i
\(418\) 18.9723i 0.927968i
\(419\) −13.7784 + 23.8650i −0.673121 + 1.16588i 0.303893 + 0.952706i \(0.401713\pi\)
−0.977014 + 0.213174i \(0.931620\pi\)
\(420\) 3.59941 2.83623i 0.175633 0.138394i
\(421\) −17.1806 29.7576i −0.837331 1.45030i −0.892119 0.451801i \(-0.850782\pi\)
0.0547882 0.998498i \(-0.482552\pi\)
\(422\) −21.0578 + 12.1577i −1.02508 + 0.591828i
\(423\) −4.03289 4.77585i −0.196086 0.232210i
\(424\) −0.353965 + 0.613086i −0.0171901 + 0.0297741i
\(425\) −0.0900212 + 0.155921i −0.00436667 + 0.00756329i
\(426\) −17.5773 + 1.56547i −0.851625 + 0.0758474i
\(427\) −4.18968 6.41529i −0.202753 0.310458i
\(428\) 7.07344 + 4.08385i 0.341908 + 0.197401i
\(429\) −11.5351 + 1.02734i −0.556920 + 0.0496004i
\(430\) 3.69843i 0.178354i
\(431\) 24.3620 + 14.0654i 1.17348 + 0.677508i 0.954497 0.298221i \(-0.0963933\pi\)
0.218981 + 0.975729i \(0.429727\pi\)
\(432\) −1.32134 + 5.02534i −0.0635731 + 0.241782i
\(433\) 11.9782i 0.575635i 0.957685 + 0.287817i \(0.0929296\pi\)
−0.957685 + 0.287817i \(0.907070\pi\)
\(434\) 22.9040 + 11.5960i 1.09943 + 0.556623i
\(435\) −12.4199 5.76790i −0.595488 0.276550i
\(436\) −1.21366 −0.0581235
\(437\) 2.35792 + 4.08403i 0.112795 + 0.195366i
\(438\) −4.28916 + 9.23574i −0.204944 + 0.441301i
\(439\) 9.40402 + 5.42941i 0.448829 + 0.259132i 0.707336 0.706878i \(-0.249897\pi\)
−0.258506 + 0.966010i \(0.583230\pi\)
\(440\) 3.17454 0.151340
\(441\) −20.1379 + 5.95523i −0.958948 + 0.283583i
\(442\) 0.379201 0.0180368
\(443\) 1.83321 + 1.05840i 0.0870983 + 0.0502862i 0.542917 0.839787i \(-0.317320\pi\)
−0.455818 + 0.890073i \(0.650653\pi\)
\(444\) 14.7367 1.31248i 0.699375 0.0622877i
\(445\) −2.91136 5.04262i −0.138011 0.239043i
\(446\) −16.7833 −0.794712
\(447\) 8.79443 6.17841i 0.415962 0.292229i
\(448\) 2.36047 + 1.19507i 0.111522 + 0.0564617i
\(449\) 12.2537i 0.578290i 0.957285 + 0.289145i \(0.0933710\pi\)
−0.957285 + 0.289145i \(0.906629\pi\)
\(450\) −2.29210 + 1.93553i −0.108051 + 0.0912417i
\(451\) 32.2062 + 18.5943i 1.51653 + 0.875571i
\(452\) 1.42859i 0.0671953i
\(453\) −10.6147 15.1090i −0.498720 0.709885i
\(454\) 14.5417 + 8.39567i 0.682477 + 0.394028i
\(455\) −3.04699 4.66559i −0.142845 0.218726i
\(456\) −4.36005 + 9.38840i −0.204178 + 0.439652i
\(457\) 16.5567 28.6771i 0.774490 1.34146i −0.160590 0.987021i \(-0.551340\pi\)
0.935080 0.354435i \(-0.115327\pi\)
\(458\) −3.31568 + 5.74293i −0.154932 + 0.268349i
\(459\) −0.237898 + 0.904774i −0.0111041 + 0.0422312i
\(460\) −0.683360 + 0.394538i −0.0318618 + 0.0183954i
\(461\) 14.1222 + 24.4604i 0.657737 + 1.13923i 0.981200 + 0.192994i \(0.0618196\pi\)
−0.323463 + 0.946241i \(0.604847\pi\)
\(462\) −13.5107 5.39377i −0.628576 0.250941i
\(463\) 20.1122 34.8353i 0.934692 1.61893i 0.159511 0.987196i \(-0.449008\pi\)
0.775181 0.631739i \(-0.217658\pi\)
\(464\) 7.90616i 0.367034i
\(465\) −15.2428 7.07890i −0.706869 0.328276i
\(466\) 7.84850 0.363575
\(467\) −0.824539 1.42814i −0.0381551 0.0660866i 0.846317 0.532679i \(-0.178815\pi\)
−0.884472 + 0.466593i \(0.845481\pi\)
\(468\) 5.94419 + 2.14252i 0.274770 + 0.0990378i
\(469\) 1.44650 + 26.3039i 0.0667930 + 1.21460i
\(470\) 1.80446 1.04181i 0.0832335 0.0480549i
\(471\) 6.90979 + 3.20896i 0.318386 + 0.147861i
\(472\) 10.1960 5.88665i 0.469308 0.270955i
\(473\) 10.1679 5.87042i 0.467519 0.269922i
\(474\) 17.2884 + 8.02890i 0.794084 + 0.368779i
\(475\) −5.17571 + 2.98820i −0.237478 + 0.137108i
\(476\) 0.424984 + 0.215163i 0.0194791 + 0.00986198i
\(477\) −1.62265 + 1.37022i −0.0742960 + 0.0627381i
\(478\) −8.27578 14.3341i −0.378526 0.655626i
\(479\) 28.2535 1.29093 0.645467 0.763788i \(-0.276663\pi\)
0.645467 + 0.763788i \(0.276663\pi\)
\(480\) −1.57091 0.729545i −0.0717020 0.0332990i
\(481\) 17.9908i 0.820312i
\(482\) −9.63020 + 16.6800i −0.438644 + 0.759753i
\(483\) 3.57870 0.518062i 0.162836 0.0235726i
\(484\) 0.461135 + 0.798709i 0.0209607 + 0.0363050i
\(485\) 3.79334 2.19008i 0.172246 0.0994465i
\(486\) −8.84123 + 12.8387i −0.401046 + 0.582376i
\(487\) −3.70797 + 6.42239i −0.168024 + 0.291026i −0.937725 0.347378i \(-0.887072\pi\)
0.769701 + 0.638405i \(0.220405\pi\)
\(488\) −1.44802 + 2.50805i −0.0655488 + 0.113534i
\(489\) 14.5115 31.2473i 0.656233 1.41305i
\(490\) −0.767563 6.95779i −0.0346749 0.314321i
\(491\) 20.6718 + 11.9348i 0.932904 + 0.538612i 0.887729 0.460367i \(-0.152282\pi\)
0.0451748 + 0.998979i \(0.485616\pi\)
\(492\) −11.6640 16.6027i −0.525853 0.748506i
\(493\) 1.42344i 0.0641087i
\(494\) 10.9010 + 6.29368i 0.490458 + 0.283166i
\(495\) 8.95941 + 3.22932i 0.402696 + 0.145147i
\(496\) 9.70317i 0.435685i
\(497\) −12.1759 + 24.0495i −0.546164 + 1.07877i
\(498\) 12.5137 8.79133i 0.560752 0.393949i
\(499\) −7.96588 −0.356602 −0.178301 0.983976i \(-0.557060\pi\)
−0.178301 + 0.983976i \(0.557060\pi\)
\(500\) −0.500000 0.866025i −0.0223607 0.0387298i
\(501\) −24.6303 + 2.19363i −1.10040 + 0.0980040i
\(502\) −19.0687 11.0093i −0.851076 0.491369i
\(503\) −39.3978 −1.75666 −0.878332 0.478052i \(-0.841343\pi\)
−0.878332 + 0.478052i \(0.841343\pi\)
\(504\) 5.44619 + 5.77400i 0.242592 + 0.257194i
\(505\) −16.9191 −0.752892
\(506\) 2.16936 + 1.25248i 0.0964397 + 0.0556795i
\(507\) −6.24784 + 13.4533i −0.277476 + 0.597483i
\(508\) −7.55105 13.0788i −0.335024 0.580278i
\(509\) 2.27010 0.100620 0.0503102 0.998734i \(-0.483979\pi\)
0.0503102 + 0.998734i \(0.483979\pi\)
\(510\) −0.282831 0.131349i −0.0125240 0.00581623i
\(511\) 8.50542 + 13.0236i 0.376258 + 0.576131i
\(512\) 1.00000i 0.0441942i
\(513\) −21.8556 + 22.0613i −0.964949 + 0.974030i
\(514\) −18.0516 10.4221i −0.796221 0.459698i
\(515\) 5.31108i 0.234034i
\(516\) −6.38062 + 0.568271i −0.280891 + 0.0250167i
\(517\) −5.72834 3.30726i −0.251932 0.145453i
\(518\) 10.2082 20.1630i 0.448523 0.885911i
\(519\) 22.8223 2.03260i 1.00179 0.0892211i
\(520\) −1.05309 + 1.82400i −0.0461810 + 0.0799878i
\(521\) 9.24087 16.0057i 0.404850 0.701221i −0.589454 0.807802i \(-0.700657\pi\)
0.994304 + 0.106581i \(0.0339904\pi\)
\(522\) 8.04257 22.3133i 0.352014 0.976627i
\(523\) −30.9554 + 17.8721i −1.35359 + 0.781493i −0.988750 0.149578i \(-0.952208\pi\)
−0.364836 + 0.931072i \(0.618875\pi\)
\(524\) −4.19019 7.25762i −0.183049 0.317051i
\(525\) 0.656542 + 4.53530i 0.0286539 + 0.197937i
\(526\) −11.2685 + 19.5177i −0.491331 + 0.851011i
\(527\) 1.74698i 0.0760997i
\(528\) 0.487774 + 5.47679i 0.0212276 + 0.238347i
\(529\) 22.3774 0.972929
\(530\) −0.353965 0.613086i −0.0153753 0.0266307i
\(531\) 34.7640 6.24181i 1.50863 0.270872i
\(532\) 8.64601 + 13.2389i 0.374852 + 0.573978i
\(533\) −21.3675 + 12.3365i −0.925529 + 0.534354i
\(534\) 8.25230 5.79754i 0.357112 0.250884i
\(535\) −7.07344 + 4.08385i −0.305812 + 0.176560i
\(536\) 8.62299 4.97848i 0.372456 0.215038i
\(537\) −0.625344 7.02144i −0.0269856 0.302998i
\(538\) −20.5578 + 11.8691i −0.886311 + 0.511712i
\(539\) −17.9103 + 13.1541i −0.771450 + 0.566588i
\(540\) −3.69140 3.65699i −0.158853 0.157372i
\(541\) 5.94967 + 10.3051i 0.255796 + 0.443052i 0.965111 0.261839i \(-0.0843291\pi\)
−0.709315 + 0.704891i \(0.750996\pi\)
\(542\) −11.7975 −0.506748
\(543\) 30.8026 21.6400i 1.32187 0.928660i
\(544\) 0.180042i 0.00771925i
\(545\) 0.606828 1.05106i 0.0259936 0.0450223i
\(546\) 7.58100 5.97361i 0.324437 0.255647i
\(547\) 7.70794 + 13.3505i 0.329568 + 0.570828i 0.982426 0.186652i \(-0.0597637\pi\)
−0.652858 + 0.757480i \(0.726430\pi\)
\(548\) 7.58919 4.38162i 0.324194 0.187174i
\(549\) −6.63802 + 5.60537i −0.283304 + 0.239231i
\(550\) −1.58727 + 2.74924i −0.0676815 + 0.117228i
\(551\) 23.6252 40.9200i 1.00647 1.74325i
\(552\) −0.785665 1.11833i −0.0334401 0.0475991i
\(553\) 24.3790 15.9213i 1.03670 0.677045i
\(554\) −15.8538 9.15321i −0.673564 0.388883i
\(555\) −6.23173 + 13.4186i −0.264522 + 0.569590i
\(556\) 3.19519i 0.135506i
\(557\) 14.4583 + 8.34752i 0.612619 + 0.353696i 0.773990 0.633198i \(-0.218258\pi\)
−0.161371 + 0.986894i \(0.551592\pi\)
\(558\) 9.87058 27.3849i 0.417855 1.15930i
\(559\) 7.78956i 0.329463i
\(560\) −2.21519 + 1.44669i −0.0936090 + 0.0611339i
\(561\) 0.0878200 + 0.986055i 0.00370776 + 0.0416313i
\(562\) 21.8094 0.919976
\(563\) 14.7212 + 25.4979i 0.620427 + 1.07461i 0.989406 + 0.145173i \(0.0463739\pi\)
−0.368980 + 0.929437i \(0.620293\pi\)
\(564\) 2.07460 + 2.95302i 0.0873566 + 0.124345i
\(565\) 1.23720 + 0.714296i 0.0520493 + 0.0300507i
\(566\) 1.51803 0.0638075
\(567\) 9.49698 + 21.8359i 0.398836 + 0.917022i
\(568\) 10.1885 0.427498
\(569\) 4.93176 + 2.84736i 0.206750 + 0.119367i 0.599800 0.800150i \(-0.295247\pi\)
−0.393050 + 0.919517i \(0.628580\pi\)
\(570\) −5.95057 8.47011i −0.249242 0.354774i
\(571\) 1.78017 + 3.08334i 0.0744976 + 0.129034i 0.900868 0.434094i \(-0.142931\pi\)
−0.826370 + 0.563127i \(0.809598\pi\)
\(572\) 6.68615 0.279562
\(573\) −1.19528 13.4207i −0.0499334 0.560659i
\(574\) −30.9472 + 1.70184i −1.29171 + 0.0710334i
\(575\) 0.789076i 0.0329068i
\(576\) 1.01725 2.82227i 0.0423856 0.117594i
\(577\) −5.31447 3.06831i −0.221244 0.127735i 0.385282 0.922799i \(-0.374104\pi\)
−0.606526 + 0.795064i \(0.707437\pi\)
\(578\) 16.9676i 0.705758i
\(579\) −6.05057 + 13.0286i −0.251453 + 0.541448i
\(580\) 6.84694 + 3.95308i 0.284304 + 0.164143i
\(581\) −1.28270 23.3254i −0.0532155 0.967701i
\(582\) 4.36123 + 6.20784i 0.180779 + 0.257323i
\(583\) −1.12368 + 1.94627i −0.0465380 + 0.0806062i
\(584\) 2.93961 5.09156i 0.121642 0.210690i
\(585\) −4.82757 + 4.07657i −0.199595 + 0.168545i
\(586\) 4.83808 2.79327i 0.199859 0.115389i
\(587\) −1.76206 3.05198i −0.0727279 0.125969i 0.827368 0.561660i \(-0.189837\pi\)
−0.900096 + 0.435692i \(0.856504\pi\)
\(588\) 11.8858 2.39329i 0.490162 0.0986977i
\(589\) 28.9950 50.2208i 1.19472 2.06931i
\(590\) 11.7733i 0.484699i
\(591\) 18.8507 13.2433i 0.775414 0.544757i
\(592\) −8.54194 −0.351072
\(593\) −20.0316 34.6957i −0.822598 1.42478i −0.903741 0.428079i \(-0.859190\pi\)
0.0811430 0.996702i \(-0.474143\pi\)
\(594\) −4.19466 + 15.9532i −0.172109 + 0.654566i
\(595\) −0.398829 + 0.260466i −0.0163504 + 0.0106781i
\(596\) −5.37389 + 3.10262i −0.220123 + 0.127088i
\(597\) 2.87127 + 32.2390i 0.117513 + 1.31945i
\(598\) −1.43928 + 0.830967i −0.0588564 + 0.0339808i
\(599\) 1.57658 0.910237i 0.0644172 0.0371913i −0.467446 0.884022i \(-0.654826\pi\)
0.531863 + 0.846831i \(0.321492\pi\)
\(600\) 1.41726 0.995677i 0.0578594 0.0406484i
\(601\) −15.9038 + 9.18204i −0.648728 + 0.374543i −0.787969 0.615715i \(-0.788867\pi\)
0.139241 + 0.990259i \(0.455534\pi\)
\(602\) −4.41988 + 8.73004i −0.180141 + 0.355810i
\(603\) 29.4008 5.27885i 1.19729 0.214971i
\(604\) 5.33037 + 9.23247i 0.216890 + 0.375664i
\(605\) −0.922270 −0.0374956
\(606\) −2.59965 29.1893i −0.105604 1.18573i
\(607\) 28.9070i 1.17330i −0.809842 0.586649i \(-0.800447\pi\)
0.809842 0.586649i \(-0.199553\pi\)
\(608\) 2.98820 5.17571i 0.121188 0.209903i
\(609\) −22.4237 28.4576i −0.908655 1.15316i
\(610\) −1.44802 2.50805i −0.0586287 0.101548i
\(611\) 3.80051 2.19423i 0.153752 0.0887689i
\(612\) 0.183149 0.508128i 0.00740335 0.0205398i
\(613\) 20.0655 34.7545i 0.810439 1.40372i −0.102119 0.994772i \(-0.532562\pi\)
0.912557 0.408949i \(-0.134104\pi\)
\(614\) 11.4470 19.8268i 0.461964 0.800146i
\(615\) 20.2103 1.79997i 0.814958 0.0725818i
\(616\) 7.49341 + 3.79380i 0.301918 + 0.152856i
\(617\) −4.18249 2.41476i −0.168381 0.0972146i 0.413441 0.910531i \(-0.364327\pi\)
−0.581822 + 0.813316i \(0.697660\pi\)
\(618\) −9.16279 + 0.816056i −0.368581 + 0.0328266i
\(619\) 17.9309i 0.720705i −0.932816 0.360352i \(-0.882656\pi\)
0.932816 0.360352i \(-0.117344\pi\)
\(620\) 8.40319 + 4.85159i 0.337480 + 0.194844i
\(621\) −1.07974 3.95544i −0.0433283 0.158726i
\(622\) 21.7317i 0.871362i
\(623\) −0.845893 15.3822i −0.0338900 0.616275i
\(624\) −3.30862 1.53655i −0.132451 0.0615112i
\(625\) 1.00000 0.0400000
\(626\) −1.56616 2.71267i −0.0625964 0.108420i
\(627\) −13.8412 + 29.8039i −0.552763 + 1.19025i
\(628\) −3.80928 2.19929i −0.152007 0.0877613i
\(629\) −1.53791 −0.0613206
\(630\) −7.72352 + 1.82954i −0.307712 + 0.0728905i
\(631\) 15.6119 0.621502 0.310751 0.950491i \(-0.399420\pi\)
0.310751 + 0.950491i \(0.399420\pi\)
\(632\) −9.53091 5.50268i −0.379119 0.218885i
\(633\) 41.9495 3.73610i 1.66734 0.148497i
\(634\) −14.3433 24.8434i −0.569647 0.986657i
\(635\) 15.1021 0.599309
\(636\) 1.00332 0.704870i 0.0397843 0.0279499i
\(637\) −1.61662 14.6543i −0.0640529 0.580626i
\(638\) 25.0985i 0.993658i
\(639\) 28.7545 + 10.3642i 1.13751 + 0.410003i
\(640\) 0.866025 + 0.500000i 0.0342327 + 0.0197642i
\(641\) 15.3319i 0.605572i −0.953059 0.302786i \(-0.902083\pi\)
0.953059 0.302786i \(-0.0979168\pi\)
\(642\) −8.13240 11.5758i −0.320960 0.456859i
\(643\) 26.2575 + 15.1598i 1.03550 + 0.597844i 0.918554 0.395295i \(-0.129358\pi\)
0.116941 + 0.993139i \(0.462691\pi\)
\(644\) −2.08455 + 0.114633i −0.0821428 + 0.00451717i
\(645\) 2.69817 5.80991i 0.106240 0.228765i
\(646\) 0.538003 0.931848i 0.0211674 0.0366631i
\(647\) 14.5503 25.2018i 0.572030 0.990785i −0.424327 0.905509i \(-0.639489\pi\)
0.996357 0.0852761i \(-0.0271772\pi\)
\(648\) 5.74192 6.93039i 0.225564 0.272251i
\(649\) 32.3676 18.6874i 1.27054 0.733546i
\(650\) −1.05309 1.82400i −0.0413055 0.0715433i
\(651\) −27.5204 34.9257i −1.07861 1.36885i
\(652\) −9.94559 + 17.2263i −0.389500 + 0.674633i
\(653\) 3.29591i 0.128979i 0.997918 + 0.0644895i \(0.0205419\pi\)
−0.997918 + 0.0644895i \(0.979458\pi\)
\(654\) 1.90655 + 0.885416i 0.0745518 + 0.0346225i
\(655\) 8.38038 0.327449
\(656\) 5.85731 + 10.1452i 0.228689 + 0.396102i
\(657\) 13.4758 11.3794i 0.525740 0.443953i
\(658\) 5.50440 0.302696i 0.214584 0.0118003i
\(659\) 5.58702 3.22567i 0.217639 0.125654i −0.387217 0.921988i \(-0.626564\pi\)
0.604857 + 0.796334i \(0.293230\pi\)
\(660\) −4.98693 2.31597i −0.194116 0.0901491i
\(661\) −32.5957 + 18.8191i −1.26783 + 0.731979i −0.974576 0.224057i \(-0.928070\pi\)
−0.293249 + 0.956036i \(0.594737\pi\)
\(662\) 4.94451 2.85472i 0.192174 0.110952i
\(663\) −0.595691 0.276644i −0.0231347 0.0107440i
\(664\) −7.64657 + 4.41475i −0.296744 + 0.171325i
\(665\) −15.7882 + 0.868221i −0.612241 + 0.0336682i
\(666\) −24.1077 8.68932i −0.934153 0.336704i
\(667\) 3.11928 + 5.40276i 0.120779 + 0.209196i
\(668\) 14.2766 0.552379
\(669\) 26.3651 + 12.2442i 1.01933 + 0.473387i
\(670\) 9.95697i 0.384671i
\(671\) −4.59681 + 7.96190i −0.177458 + 0.307366i
\(672\) −2.83623 3.59941i −0.109410 0.138850i
\(673\) 24.8051 + 42.9637i 0.956166 + 1.65613i 0.731676 + 0.681652i \(0.238738\pi\)
0.224490 + 0.974476i \(0.427928\pi\)
\(674\) 9.38110 5.41618i 0.361347 0.208624i
\(675\) 5.01274 1.36835i 0.192941 0.0526680i
\(676\) 4.28201 7.41666i 0.164693 0.285256i
\(677\) 3.63663 6.29882i 0.139767 0.242083i −0.787641 0.616134i \(-0.788698\pi\)
0.927408 + 0.374050i \(0.122031\pi\)
\(678\) −1.04222 + 2.24419i −0.0400263 + 0.0861877i
\(679\) 11.5713 0.636328i 0.444068 0.0244200i
\(680\) 0.155921 + 0.0900212i 0.00597931 + 0.00345215i
\(681\) −16.7188 23.7977i −0.640664 0.911930i
\(682\) 30.8031i 1.17951i
\(683\) −14.4216 8.32633i −0.551828 0.318598i 0.198031 0.980196i \(-0.436545\pi\)
−0.749859 + 0.661598i \(0.769879\pi\)
\(684\) 13.6985 11.5675i 0.523776 0.442294i
\(685\) 8.76324i 0.334826i
\(686\) 6.50323 17.3409i 0.248294 0.662080i
\(687\) 9.39837 6.60270i 0.358570 0.251909i
\(688\) 3.69843 0.141001
\(689\) −0.745513 1.29127i −0.0284018 0.0491934i
\(690\) 1.36133 0.121243i 0.0518250 0.00461564i
\(691\) 33.8682 + 19.5538i 1.28841 + 0.743863i 0.978370 0.206862i \(-0.0663250\pi\)
0.310038 + 0.950724i \(0.399658\pi\)
\(692\) −13.2286 −0.502876
\(693\) 17.2892 + 18.3298i 0.656761 + 0.696292i
\(694\) 19.3689 0.735234
\(695\) −2.76711 1.59759i −0.104963 0.0606002i
\(696\) −5.76790 + 12.4199i −0.218632 + 0.470775i
\(697\) 1.05456 + 1.82656i 0.0399444 + 0.0691858i
\(698\) 19.8542 0.751492
\(699\) −12.3293 5.72583i −0.466337 0.216571i
\(700\) −0.145275 2.64176i −0.00549087 0.0998491i
\(701\) 38.2997i 1.44656i −0.690555 0.723280i \(-0.742634\pi\)
0.690555 0.723280i \(-0.257366\pi\)
\(702\) −7.77475 7.70226i −0.293439 0.290703i
\(703\) −44.2107 25.5250i −1.66744 0.962695i
\(704\) 3.17454i 0.119645i
\(705\) −3.59469 + 0.320150i −0.135384 + 0.0120576i
\(706\) 9.95408 + 5.74699i 0.374627 + 0.216291i
\(707\) −39.9371 20.2195i −1.50199 0.760434i
\(708\) −20.3116 + 1.80899i −0.763356 + 0.0679859i
\(709\) 4.58548 7.94229i 0.172211 0.298279i −0.766981 0.641670i \(-0.778242\pi\)
0.939193 + 0.343390i \(0.111575\pi\)
\(710\) −5.09423 + 8.82346i −0.191183 + 0.331139i
\(711\) −21.3012 25.2254i −0.798856 0.946026i
\(712\) −5.04262 + 2.91136i −0.188980 + 0.109108i
\(713\) 3.82827 + 6.63076i 0.143370 + 0.248324i
\(714\) −0.510642 0.648047i −0.0191103 0.0242526i
\(715\) −3.34308 + 5.79038i −0.125024 + 0.216548i
\(716\) 4.06988i 0.152098i
\(717\) 2.54318 + 28.5551i 0.0949767 + 1.06641i
\(718\) −22.1465 −0.826498
\(719\) 16.5618 + 28.6858i 0.617650 + 1.06980i 0.989913 + 0.141674i \(0.0452485\pi\)
−0.372263 + 0.928127i \(0.621418\pi\)
\(720\) 1.93553 + 2.29210i 0.0721329 + 0.0854216i
\(721\) −6.34710 + 12.5366i −0.236378 + 0.466889i
\(722\) 14.4777 8.35868i 0.538802 0.311078i
\(723\) 27.2970 19.1771i 1.01519 0.713206i
\(724\) −18.8221 + 10.8670i −0.699519 + 0.403867i
\(725\) −6.84694 + 3.95308i −0.254289 + 0.146814i
\(726\) −0.141708 1.59112i −0.00525929 0.0590520i
\(727\) −21.5870 + 12.4633i −0.800617 + 0.462236i −0.843687 0.536836i \(-0.819620\pi\)
0.0430699 + 0.999072i \(0.486286\pi\)
\(728\) −4.66559 + 3.04699i −0.172918 + 0.112929i
\(729\) 23.2552 13.7184i 0.861304 0.508090i
\(730\) 2.93961 + 5.09156i 0.108800 + 0.188447i
\(731\) 0.665875 0.0246283
\(732\) 4.10445 2.88352i 0.151705 0.106578i
\(733\) 14.7249i 0.543878i 0.962314 + 0.271939i \(0.0876649\pi\)
−0.962314 + 0.271939i \(0.912335\pi\)
\(734\) 10.0714 17.4441i 0.371742 0.643875i
\(735\) −3.87025 + 11.4900i −0.142756 + 0.423817i
\(736\) 0.394538 + 0.683360i 0.0145429 + 0.0251890i
\(737\) 27.3740 15.8044i 1.00834 0.582163i
\(738\) 6.21070 + 34.5907i 0.228619 + 1.27330i
\(739\) 13.3365 23.0995i 0.490590 0.849727i −0.509351 0.860559i \(-0.670115\pi\)
0.999941 + 0.0108315i \(0.00344786\pi\)
\(740\) 4.27097 7.39754i 0.157004 0.271939i
\(741\) −12.5329 17.8396i −0.460409 0.655353i
\(742\) −0.102845 1.87018i −0.00377554 0.0686566i
\(743\) 4.24232 + 2.44930i 0.155636 + 0.0898562i 0.575795 0.817594i \(-0.304693\pi\)
−0.420160 + 0.907450i \(0.638026\pi\)
\(744\) −7.07890 + 15.2428i −0.259525 + 0.558829i
\(745\) 6.20523i 0.227342i
\(746\) 23.6347 + 13.6455i 0.865329 + 0.499598i
\(747\) −26.0716 + 4.68110i −0.953909 + 0.171273i
\(748\) 0.571552i 0.0208980i
\(749\) −21.5771 + 1.18656i −0.788411 + 0.0433561i
\(750\) 0.153652 + 1.72522i 0.00561057 + 0.0629962i
\(751\) −15.9206 −0.580949 −0.290475 0.956883i \(-0.593813\pi\)
−0.290475 + 0.956883i \(0.593813\pi\)
\(752\) −1.04181 1.80446i −0.0379907 0.0658019i
\(753\) 21.9234 + 31.2061i 0.798934 + 1.13721i
\(754\) 14.4209 + 8.32589i 0.525177 + 0.303211i
\(755\) −10.6607 −0.387984
\(756\) −4.34309 13.0437i −0.157957 0.474394i
\(757\) −27.4236 −0.996729 −0.498365 0.866968i \(-0.666066\pi\)
−0.498365 + 0.866968i \(0.666066\pi\)
\(758\) −16.9760 9.80108i −0.616595 0.355991i
\(759\) −2.49413 3.55018i −0.0905312 0.128863i
\(760\) 2.98820 + 5.17571i 0.108393 + 0.187743i
\(761\) −1.54724 −0.0560874 −0.0280437 0.999607i \(-0.508928\pi\)
−0.0280437 + 0.999607i \(0.508928\pi\)
\(762\) 2.32046 + 26.0545i 0.0840615 + 0.943854i
\(763\) 2.68848 1.75578i 0.0973296 0.0635637i
\(764\) 7.77914i 0.281439i
\(765\) 0.348477 + 0.412675i 0.0125992 + 0.0149203i
\(766\) −3.43949 1.98579i