Properties

Label 690.2.n.a.659.11
Level $690$
Weight $2$
Character 690.659
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.n (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 659.11
Character \(\chi\) \(=\) 690.659
Dual form 690.2.n.a.89.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.142315 + 0.989821i) q^{2} +(-0.397135 + 1.68591i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(2.02447 - 0.949486i) q^{5} +(-1.61223 - 0.633022i) q^{6} +(-4.08214 - 2.62343i) q^{7} +(0.415415 - 0.909632i) q^{8} +(-2.68457 - 1.33906i) q^{9} +O(q^{10})\) \(q+(-0.142315 + 0.989821i) q^{2} +(-0.397135 + 1.68591i) q^{3} +(-0.959493 - 0.281733i) q^{4} +(2.02447 - 0.949486i) q^{5} +(-1.61223 - 0.633022i) q^{6} +(-4.08214 - 2.62343i) q^{7} +(0.415415 - 0.909632i) q^{8} +(-2.68457 - 1.33906i) q^{9} +(0.651709 + 2.13899i) q^{10} +(0.475030 + 3.30390i) q^{11} +(0.856023 - 1.50573i) q^{12} +(-0.660771 - 1.02818i) q^{13} +(3.17768 - 3.66723i) q^{14} +(0.796759 + 3.79014i) q^{15} +(0.841254 + 0.540641i) q^{16} +(-1.75177 - 5.96599i) q^{17} +(1.70749 - 2.46667i) q^{18} +(0.670285 - 2.28278i) q^{19} +(-2.20997 + 0.340666i) q^{20} +(6.04402 - 5.84025i) q^{21} -3.33788 q^{22} +(-4.18997 - 2.33328i) q^{23} +(1.36858 + 1.06160i) q^{24} +(3.19695 - 3.84441i) q^{25} +(1.11175 - 0.507720i) q^{26} +(3.32367 - 3.99414i) q^{27} +(3.17768 + 3.66723i) q^{28} +(-1.83741 - 6.25766i) q^{29} +(-3.86495 + 0.249255i) q^{30} +(-2.18940 + 4.79412i) q^{31} +(-0.654861 + 0.755750i) q^{32} +(-5.75873 - 0.511238i) q^{33} +(6.15457 - 0.884894i) q^{34} +(-10.7551 - 1.43512i) q^{35} +(2.19857 + 2.04115i) q^{36} +(0.549311 - 0.633939i) q^{37} +(2.16415 + 0.988336i) q^{38} +(1.99583 - 0.705673i) q^{39} +(-0.0226878 - 2.23595i) q^{40} +(4.44117 - 3.84830i) q^{41} +(4.92065 + 6.81365i) q^{42} +(0.0334887 + 0.0733301i) q^{43} +(0.475030 - 3.30390i) q^{44} +(-6.70625 - 0.161935i) q^{45} +(2.90582 - 3.81526i) q^{46} +4.46884 q^{47} +(-1.24556 + 1.20357i) q^{48} +(6.87355 + 15.0510i) q^{49} +(3.35031 + 3.71153i) q^{50} +(10.7538 - 0.584026i) q^{51} +(0.344333 + 1.17269i) q^{52} +(-5.83690 + 9.08239i) q^{53} +(3.48048 + 3.85827i) q^{54} +(4.09869 + 6.23762i) q^{55} +(-4.08214 + 2.62343i) q^{56} +(3.58236 + 2.03661i) q^{57} +(6.45546 - 0.928154i) q^{58} +(-2.51261 - 3.90970i) q^{59} +(0.303322 - 3.86109i) q^{60} +(-9.97373 - 4.55485i) q^{61} +(-4.43374 - 2.84939i) q^{62} +(7.44583 + 12.5090i) q^{63} +(-0.654861 - 0.755750i) q^{64} +(-2.31395 - 1.45412i) q^{65} +(1.32559 - 5.62735i) q^{66} +(-0.376968 + 2.62187i) q^{67} +6.21786i q^{68} +(5.59767 - 6.13727i) q^{69} +(2.95112 - 10.4414i) q^{70} +(8.42268 + 1.21100i) q^{71} +(-2.33327 + 1.88570i) q^{72} +(0.938954 - 3.19778i) q^{73} +(0.549311 + 0.633939i) q^{74} +(5.21170 + 6.91652i) q^{75} +(-1.28627 + 2.00147i) q^{76} +(6.72842 - 14.7332i) q^{77} +(0.414454 + 2.07594i) q^{78} +(-3.34150 - 5.19947i) q^{79} +(2.21642 + 0.295752i) q^{80} +(5.41381 + 7.18962i) q^{81} +(3.17708 + 4.94364i) q^{82} +(-10.3554 - 8.97304i) q^{83} +(-7.44458 + 3.90088i) q^{84} +(-9.21104 - 10.4147i) q^{85} +(-0.0773497 + 0.0227119i) q^{86} +(11.2795 - 0.612578i) q^{87} +(3.20267 + 0.940389i) q^{88} +(2.16744 + 4.74603i) q^{89} +(1.11469 - 6.61494i) q^{90} +5.93065i q^{91} +(3.36288 + 3.41921i) q^{92} +(-7.21296 - 5.59504i) q^{93} +(-0.635982 + 4.42335i) q^{94} +(-0.810497 - 5.25784i) q^{95} +(-1.01406 - 1.40417i) q^{96} +(-4.90317 - 5.65856i) q^{97} +(-15.8760 + 4.66161i) q^{98} +(3.14889 - 9.50565i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} + O(q^{10}) \) \( 240q - 24q^{2} + 2q^{3} - 24q^{4} + 2q^{6} - 24q^{8} - 6q^{9} - 9q^{12} + 11q^{15} - 24q^{16} - 6q^{18} - 4q^{23} + 2q^{24} - 12q^{25} + 2q^{27} + 22q^{30} + 28q^{31} - 24q^{32} - 36q^{35} - 6q^{36} - 4q^{46} + 104q^{47} - 9q^{48} + 70q^{49} + 54q^{50} - 9q^{54} - 26q^{55} - 44q^{57} - 11q^{60} + 44q^{61} + 28q^{62} - 121q^{63} - 24q^{64} + 44q^{65} + 44q^{66} - 102q^{69} - 36q^{70} + 16q^{72} - 82q^{75} + 8q^{77} - 44q^{79} + 74q^{81} - 11q^{84} + 22q^{85} - 93q^{87} - 4q^{92} + 172q^{93} + 16q^{94} + 26q^{95} + 2q^{96} + 4q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{17}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.142315 + 0.989821i −0.100632 + 0.699909i
\(3\) −0.397135 + 1.68591i −0.229286 + 0.973359i
\(4\) −0.959493 0.281733i −0.479746 0.140866i
\(5\) 2.02447 0.949486i 0.905370 0.424623i
\(6\) −1.61223 0.633022i −0.658190 0.258430i
\(7\) −4.08214 2.62343i −1.54290 0.991563i −0.987074 0.160267i \(-0.948765\pi\)
−0.555829 0.831297i \(-0.687599\pi\)
\(8\) 0.415415 0.909632i 0.146871 0.321603i
\(9\) −2.68457 1.33906i −0.894856 0.446355i
\(10\) 0.651709 + 2.13899i 0.206089 + 0.676408i
\(11\) 0.475030 + 3.30390i 0.143227 + 0.996164i 0.926985 + 0.375098i \(0.122391\pi\)
−0.783758 + 0.621066i \(0.786700\pi\)
\(12\) 0.856023 1.50573i 0.247113 0.434667i
\(13\) −0.660771 1.02818i −0.183265 0.285166i 0.737450 0.675402i \(-0.236030\pi\)
−0.920715 + 0.390236i \(0.872393\pi\)
\(14\) 3.17768 3.66723i 0.849270 0.980109i
\(15\) 0.796759 + 3.79014i 0.205722 + 0.978610i
\(16\) 0.841254 + 0.540641i 0.210313 + 0.135160i
\(17\) −1.75177 5.96599i −0.424867 1.44697i −0.842671 0.538428i \(-0.819018\pi\)
0.417804 0.908537i \(-0.362800\pi\)
\(18\) 1.70749 2.46667i 0.402459 0.581401i
\(19\) 0.670285 2.28278i 0.153774 0.523706i −0.846184 0.532891i \(-0.821106\pi\)
0.999958 + 0.00918523i \(0.00292379\pi\)
\(20\) −2.20997 + 0.340666i −0.494163 + 0.0761753i
\(21\) 6.04402 5.84025i 1.31891 1.27445i
\(22\) −3.33788 −0.711638
\(23\) −4.18997 2.33328i −0.873668 0.486522i
\(24\) 1.36858 + 1.06160i 0.279360 + 0.216698i
\(25\) 3.19695 3.84441i 0.639391 0.768882i
\(26\) 1.11175 0.507720i 0.218032 0.0995720i
\(27\) 3.32367 3.99414i 0.639641 0.768674i
\(28\) 3.17768 + 3.66723i 0.600524 + 0.693042i
\(29\) −1.83741 6.25766i −0.341199 1.16202i −0.934180 0.356801i \(-0.883867\pi\)
0.592981 0.805216i \(-0.297951\pi\)
\(30\) −3.86495 + 0.249255i −0.705641 + 0.0455076i
\(31\) −2.18940 + 4.79412i −0.393228 + 0.861050i 0.604684 + 0.796466i \(0.293299\pi\)
−0.997912 + 0.0645844i \(0.979428\pi\)
\(32\) −0.654861 + 0.755750i −0.115764 + 0.133599i
\(33\) −5.75873 0.511238i −1.00247 0.0889952i
\(34\) 6.15457 0.884894i 1.05550 0.151758i
\(35\) −10.7551 1.43512i −1.81794 0.242580i
\(36\) 2.19857 + 2.04115i 0.366428 + 0.340192i
\(37\) 0.549311 0.633939i 0.0903062 0.104219i −0.708798 0.705412i \(-0.750762\pi\)
0.799104 + 0.601193i \(0.205308\pi\)
\(38\) 2.16415 + 0.988336i 0.351072 + 0.160329i
\(39\) 1.99583 0.705673i 0.319589 0.112998i
\(40\) −0.0226878 2.23595i −0.00358725 0.353535i
\(41\) 4.44117 3.84830i 0.693595 0.601003i −0.235046 0.971984i \(-0.575524\pi\)
0.928640 + 0.370981i \(0.120979\pi\)
\(42\) 4.92065 + 6.81365i 0.759273 + 1.05137i
\(43\) 0.0334887 + 0.0733301i 0.00510699 + 0.0111827i 0.912168 0.409816i \(-0.134407\pi\)
−0.907061 + 0.420999i \(0.861680\pi\)
\(44\) 0.475030 3.30390i 0.0716134 0.498082i
\(45\) −6.70625 0.161935i −0.999709 0.0241399i
\(46\) 2.90582 3.81526i 0.428440 0.562529i
\(47\) 4.46884 0.651847 0.325923 0.945396i \(-0.394325\pi\)
0.325923 + 0.945396i \(0.394325\pi\)
\(48\) −1.24556 + 1.20357i −0.179781 + 0.173720i
\(49\) 6.87355 + 15.0510i 0.981936 + 2.15014i
\(50\) 3.35031 + 3.71153i 0.473805 + 0.524889i
\(51\) 10.7538 0.584026i 1.50583 0.0817800i
\(52\) 0.344333 + 1.17269i 0.0477504 + 0.162623i
\(53\) −5.83690 + 9.08239i −0.801760 + 1.24756i 0.163570 + 0.986532i \(0.447699\pi\)
−0.965330 + 0.261031i \(0.915937\pi\)
\(54\) 3.48048 + 3.85827i 0.473634 + 0.525044i
\(55\) 4.09869 + 6.23762i 0.552668 + 0.841080i
\(56\) −4.08214 + 2.62343i −0.545498 + 0.350571i
\(57\) 3.58236 + 2.03661i 0.474496 + 0.269755i
\(58\) 6.45546 0.928154i 0.847643 0.121873i
\(59\) −2.51261 3.90970i −0.327114 0.509000i 0.638277 0.769807i \(-0.279648\pi\)
−0.965391 + 0.260807i \(0.916011\pi\)
\(60\) 0.303322 3.86109i 0.0391587 0.498464i
\(61\) −9.97373 4.55485i −1.27701 0.583189i −0.342627 0.939472i \(-0.611317\pi\)
−0.934378 + 0.356283i \(0.884044\pi\)
\(62\) −4.43374 2.84939i −0.563086 0.361873i
\(63\) 7.44583 + 12.5090i 0.938087 + 1.57599i
\(64\) −0.654861 0.755750i −0.0818576 0.0944687i
\(65\) −2.31395 1.45412i −0.287010 0.180362i
\(66\) 1.32559 5.62735i 0.163168 0.692679i
\(67\) −0.376968 + 2.62187i −0.0460540 + 0.320312i 0.953752 + 0.300596i \(0.0971855\pi\)
−0.999806 + 0.0197167i \(0.993724\pi\)
\(68\) 6.21786i 0.754026i
\(69\) 5.59767 6.13727i 0.673880 0.738841i
\(70\) 2.95112 10.4414i 0.352726 1.24798i
\(71\) 8.42268 + 1.21100i 0.999589 + 0.143719i 0.622634 0.782513i \(-0.286062\pi\)
0.376954 + 0.926232i \(0.376971\pi\)
\(72\) −2.33327 + 1.88570i −0.274978 + 0.222232i
\(73\) 0.938954 3.19778i 0.109896 0.374272i −0.886119 0.463458i \(-0.846608\pi\)
0.996015 + 0.0891860i \(0.0284266\pi\)
\(74\) 0.549311 + 0.633939i 0.0638562 + 0.0736939i
\(75\) 5.21170 + 6.91652i 0.601795 + 0.798650i
\(76\) −1.28627 + 2.00147i −0.147545 + 0.229584i
\(77\) 6.72842 14.7332i 0.766775 1.67900i
\(78\) 0.414454 + 2.07594i 0.0469276 + 0.235054i
\(79\) −3.34150 5.19947i −0.375948 0.584986i 0.600794 0.799404i \(-0.294851\pi\)
−0.976742 + 0.214417i \(0.931215\pi\)
\(80\) 2.21642 + 0.295752i 0.247804 + 0.0330661i
\(81\) 5.41381 + 7.18962i 0.601535 + 0.798847i
\(82\) 3.17708 + 4.94364i 0.350850 + 0.545933i
\(83\) −10.3554 8.97304i −1.13666 0.984919i −0.136674 0.990616i \(-0.543641\pi\)
−0.999984 + 0.00569681i \(0.998187\pi\)
\(84\) −7.44458 + 3.90088i −0.812270 + 0.425621i
\(85\) −9.21104 10.4147i −0.999077 1.12963i
\(86\) −0.0773497 + 0.0227119i −0.00834083 + 0.00244909i
\(87\) 11.2795 0.612578i 1.20929 0.0656752i
\(88\) 3.20267 + 0.940389i 0.341406 + 0.100246i
\(89\) 2.16744 + 4.74603i 0.229748 + 0.503078i 0.989036 0.147677i \(-0.0471797\pi\)
−0.759288 + 0.650755i \(0.774452\pi\)
\(90\) 1.11469 6.61494i 0.117498 0.697276i
\(91\) 5.93065i 0.621701i
\(92\) 3.36288 + 3.41921i 0.350605 + 0.356478i
\(93\) −7.21296 5.59504i −0.747949 0.580179i
\(94\) −0.635982 + 4.42335i −0.0655965 + 0.456234i
\(95\) −0.810497 5.25784i −0.0831552 0.539443i
\(96\) −1.01406 1.40417i −0.103497 0.143312i
\(97\) −4.90317 5.65856i −0.497841 0.574539i 0.450103 0.892977i \(-0.351387\pi\)
−0.947944 + 0.318437i \(0.896842\pi\)
\(98\) −15.8760 + 4.66161i −1.60372 + 0.470894i
\(99\) 3.14889 9.50565i 0.316475 0.955354i
\(100\) −4.15055 + 2.78800i −0.415055 + 0.278800i
\(101\) −12.7588 11.0556i −1.26955 1.10007i −0.990167 0.139893i \(-0.955324\pi\)
−0.279385 0.960179i \(-0.590131\pi\)
\(102\) −0.952344 + 10.7275i −0.0942961 + 1.06218i
\(103\) 2.50854 + 17.4473i 0.247174 + 1.71913i 0.614394 + 0.788999i \(0.289400\pi\)
−0.367220 + 0.930134i \(0.619690\pi\)
\(104\) −1.20976 + 0.173937i −0.118627 + 0.0170559i
\(105\) 6.69069 17.5621i 0.652945 1.71389i
\(106\) −8.15927 7.07005i −0.792498 0.686704i
\(107\) −4.12405 1.88339i −0.398687 0.182074i 0.205974 0.978558i \(-0.433964\pi\)
−0.604660 + 0.796483i \(0.706691\pi\)
\(108\) −4.31432 + 2.89597i −0.415146 + 0.278665i
\(109\) 4.14943 + 14.1317i 0.397443 + 1.35357i 0.878861 + 0.477077i \(0.158304\pi\)
−0.481418 + 0.876491i \(0.659878\pi\)
\(110\) −6.75743 + 3.16927i −0.644296 + 0.302178i
\(111\) 0.850612 + 1.17785i 0.0807365 + 0.111796i
\(112\) −2.01578 4.41394i −0.190473 0.417078i
\(113\) 5.57471 + 0.801522i 0.524425 + 0.0754009i 0.399443 0.916758i \(-0.369204\pi\)
0.124982 + 0.992159i \(0.460113\pi\)
\(114\) −2.52570 + 3.25606i −0.236554 + 0.304958i
\(115\) −10.6979 0.745333i −0.997582 0.0695026i
\(116\) 6.52184i 0.605537i
\(117\) 0.397086 + 3.64503i 0.0367106 + 0.336983i
\(118\) 4.22749 1.93063i 0.389172 0.177729i
\(119\) −8.50038 + 28.9496i −0.779229 + 2.65381i
\(120\) 3.77862 + 0.849725i 0.344939 + 0.0775689i
\(121\) −0.135698 + 0.0398446i −0.0123362 + 0.00362224i
\(122\) 5.92790 9.22399i 0.536687 0.835101i
\(123\) 4.72413 + 9.01570i 0.425961 + 0.812918i
\(124\) 3.45138 3.98310i 0.309943 0.357693i
\(125\) 2.82192 10.8184i 0.252400 0.967623i
\(126\) −13.4413 + 5.58983i −1.19745 + 0.497981i
\(127\) −17.5969 + 2.53005i −1.56147 + 0.224506i −0.868216 0.496186i \(-0.834733\pi\)
−0.693255 + 0.720692i \(0.743824\pi\)
\(128\) 0.841254 0.540641i 0.0743570 0.0477863i
\(129\) −0.136927 + 0.0273370i −0.0120558 + 0.00240689i
\(130\) 1.76863 2.08346i 0.155119 0.182731i
\(131\) 4.82999 7.51561i 0.421998 0.656642i −0.563541 0.826088i \(-0.690561\pi\)
0.985540 + 0.169446i \(0.0541977\pi\)
\(132\) 5.38142 + 2.11295i 0.468393 + 0.183909i
\(133\) −8.72491 + 7.56018i −0.756545 + 0.655550i
\(134\) −2.54154 0.746262i −0.219555 0.0644672i
\(135\) 2.93629 11.2418i 0.252716 0.967541i
\(136\) −6.15457 0.884894i −0.527750 0.0758790i
\(137\) 11.0512i 0.944166i −0.881554 0.472083i \(-0.843502\pi\)
0.881554 0.472083i \(-0.156498\pi\)
\(138\) 5.27817 + 6.41412i 0.449308 + 0.546006i
\(139\) 3.22829 0.273820 0.136910 0.990583i \(-0.456283\pi\)
0.136910 + 0.990583i \(0.456283\pi\)
\(140\) 9.91509 + 4.40704i 0.837978 + 0.372463i
\(141\) −1.77473 + 7.53404i −0.149459 + 0.634481i
\(142\) −2.39735 + 8.16461i −0.201181 + 0.685159i
\(143\) 3.08312 2.67154i 0.257823 0.223405i
\(144\) −1.53445 2.57788i −0.127871 0.214823i
\(145\) −9.66135 10.9238i −0.802331 0.907175i
\(146\) 3.03161 + 1.38449i 0.250898 + 0.114581i
\(147\) −28.1043 + 5.61091i −2.31800 + 0.462780i
\(148\) −0.705662 + 0.453501i −0.0580050 + 0.0372776i
\(149\) 1.45183 + 10.0977i 0.118939 + 0.827238i 0.958728 + 0.284325i \(0.0917695\pi\)
−0.839789 + 0.542913i \(0.817321\pi\)
\(150\) −7.58782 + 4.17433i −0.619543 + 0.340833i
\(151\) −7.84078 + 5.03896i −0.638073 + 0.410065i −0.819291 0.573378i \(-0.805633\pi\)
0.181217 + 0.983443i \(0.441996\pi\)
\(152\) −1.79804 1.55801i −0.145841 0.126372i
\(153\) −3.28609 + 18.3618i −0.265665 + 1.48447i
\(154\) 13.6257 + 8.75669i 1.09799 + 0.705634i
\(155\) 0.119574 + 11.7844i 0.00960439 + 0.946543i
\(156\) −2.11380 + 0.114798i −0.169239 + 0.00919117i
\(157\) −10.2815 3.01891i −0.820549 0.240935i −0.155597 0.987821i \(-0.549730\pi\)
−0.664952 + 0.746886i \(0.731548\pi\)
\(158\) 5.62209 2.56752i 0.447270 0.204261i
\(159\) −12.9940 13.4474i −1.03049 1.06645i
\(160\) −0.608172 + 2.15177i −0.0480802 + 0.170113i
\(161\) 10.9828 + 20.5168i 0.865568 + 1.61695i
\(162\) −7.88691 + 4.33552i −0.619654 + 0.340631i
\(163\) 14.9453 + 2.14881i 1.17061 + 0.168308i 0.700071 0.714073i \(-0.253152\pi\)
0.470536 + 0.882381i \(0.344061\pi\)
\(164\) −5.34546 + 2.44119i −0.417411 + 0.190625i
\(165\) −12.1438 + 4.43284i −0.945392 + 0.345096i
\(166\) 10.3554 8.97304i 0.803738 0.696443i
\(167\) 8.63720 2.53611i 0.668367 0.196250i 0.0700912 0.997541i \(-0.477671\pi\)
0.598276 + 0.801290i \(0.295853\pi\)
\(168\) −2.80170 7.92396i −0.216156 0.611347i
\(169\) 4.77986 10.4664i 0.367682 0.805110i
\(170\) 11.6195 7.63512i 0.891178 0.585587i
\(171\) −4.85621 + 5.23072i −0.371364 + 0.400004i
\(172\) −0.0114727 0.0797946i −0.000874788 0.00608428i
\(173\) −1.70696 11.8722i −0.129778 0.902625i −0.945834 0.324652i \(-0.894753\pi\)
0.816056 0.577973i \(-0.196156\pi\)
\(174\) −0.998902 + 11.2519i −0.0757266 + 0.853005i
\(175\) −23.1359 + 7.30643i −1.74891 + 0.552314i
\(176\) −1.38660 + 3.03624i −0.104519 + 0.228865i
\(177\) 7.58924 2.68335i 0.570442 0.201693i
\(178\) −5.00618 + 1.46995i −0.375229 + 0.110177i
\(179\) 10.7953 9.35422i 0.806882 0.699167i −0.150304 0.988640i \(-0.548025\pi\)
0.957186 + 0.289473i \(0.0934799\pi\)
\(180\) 6.38898 + 2.04474i 0.476206 + 0.152406i
\(181\) −2.43796 + 1.11338i −0.181212 + 0.0827569i −0.503955 0.863730i \(-0.668122\pi\)
0.322743 + 0.946487i \(0.395395\pi\)
\(182\) −5.87029 0.844020i −0.435135 0.0625629i
\(183\) 11.6400 15.0059i 0.860451 1.10927i
\(184\) −3.86300 + 2.84205i −0.284784 + 0.209519i
\(185\) 0.510148 1.80495i 0.0375068 0.132703i
\(186\) 6.56460 6.34329i 0.481340 0.465112i
\(187\) 18.8789 8.62171i 1.38056 0.630482i
\(188\) −4.28782 1.25902i −0.312721 0.0918232i
\(189\) −24.0460 + 7.58522i −1.74909 + 0.551744i
\(190\) 5.31967 0.0539777i 0.385930 0.00391595i
\(191\) −20.2556 13.0175i −1.46564 0.941911i −0.998327 0.0578200i \(-0.981585\pi\)
−0.467315 0.884091i \(-0.654779\pi\)
\(192\) 1.53419 0.803900i 0.110721 0.0580165i
\(193\) 17.2773 + 14.9708i 1.24364 + 1.07762i 0.994011 + 0.109284i \(0.0348559\pi\)
0.249634 + 0.968340i \(0.419690\pi\)
\(194\) 6.29875 4.04796i 0.452224 0.290627i
\(195\) 3.37047 3.32363i 0.241364 0.238010i
\(196\) −2.35477 16.3778i −0.168198 1.16984i
\(197\) 2.03675 1.30894i 0.145112 0.0932579i −0.466070 0.884748i \(-0.654331\pi\)
0.611182 + 0.791490i \(0.290694\pi\)
\(198\) 8.96076 + 4.46963i 0.636814 + 0.317643i
\(199\) −9.03682 4.12698i −0.640603 0.292554i 0.0685079 0.997651i \(-0.478176\pi\)
−0.709111 + 0.705097i \(0.750903\pi\)
\(200\) −2.16894 4.50508i −0.153367 0.318557i
\(201\) −4.27052 1.67677i −0.301220 0.118270i
\(202\) 12.7588 11.0556i 0.897708 0.777869i
\(203\) −8.91595 + 30.3649i −0.625777 + 2.13120i
\(204\) −10.4827 2.46933i −0.733938 0.172887i
\(205\) 5.33711 12.0076i 0.372760 0.838647i
\(206\) −17.6267 −1.22811
\(207\) 8.12384 + 11.8745i 0.564646 + 0.825333i
\(208\) 1.22220i 0.0847443i
\(209\) 7.86049 + 1.13017i 0.543721 + 0.0781753i
\(210\) 16.4312 + 9.12194i 1.13386 + 0.629474i
\(211\) −11.1065 3.26116i −0.764603 0.224508i −0.123898 0.992295i \(-0.539540\pi\)
−0.640705 + 0.767787i \(0.721358\pi\)
\(212\) 8.15927 7.07005i 0.560381 0.485573i
\(213\) −5.38657 + 13.7189i −0.369082 + 0.940006i
\(214\) 2.45113 3.81404i 0.167556 0.260722i
\(215\) 0.137423 + 0.116657i 0.00937216 + 0.00795597i
\(216\) −2.25250 4.68255i −0.153263 0.318607i
\(217\) 21.5145 13.8265i 1.46050 0.938605i
\(218\) −14.5784 + 2.09605i −0.987371 + 0.141962i
\(219\) 5.01828 + 2.85294i 0.339104 + 0.192784i
\(220\) −2.17533 7.13968i −0.146660 0.481357i
\(221\) −4.97659 + 5.74329i −0.334762 + 0.386335i
\(222\) −1.28691 + 0.674329i −0.0863720 + 0.0452580i
\(223\) −0.894659 + 1.39212i −0.0599108 + 0.0932231i −0.869917 0.493199i \(-0.835828\pi\)
0.810006 + 0.586422i \(0.199464\pi\)
\(224\) 4.65589 1.36709i 0.311085 0.0913427i
\(225\) −13.7304 + 6.03966i −0.915357 + 0.402644i
\(226\) −1.58673 + 5.40390i −0.105548 + 0.359462i
\(227\) −11.5296 + 5.26541i −0.765250 + 0.349478i −0.759501 0.650506i \(-0.774557\pi\)
−0.00574819 + 0.999983i \(0.501830\pi\)
\(228\) −2.86347 2.96338i −0.189638 0.196255i
\(229\) 16.1083i 1.06447i −0.846597 0.532234i \(-0.821353\pi\)
0.846597 0.532234i \(-0.178647\pi\)
\(230\) 2.26021 10.4829i 0.149034 0.691223i
\(231\) 22.1667 + 17.1946i 1.45846 + 1.13132i
\(232\) −6.45546 0.928154i −0.423821 0.0609363i
\(233\) −2.35607 5.15907i −0.154351 0.337982i 0.816621 0.577174i \(-0.195845\pi\)
−0.970972 + 0.239192i \(0.923117\pi\)
\(234\) −3.66444 0.125698i −0.239552 0.00821714i
\(235\) 9.04702 4.24310i 0.590163 0.276789i
\(236\) 1.30934 + 4.45922i 0.0852310 + 0.290270i
\(237\) 10.0929 3.56857i 0.655601 0.231803i
\(238\) −27.4453 12.5338i −1.77901 0.812447i
\(239\) −5.58674 4.84094i −0.361376 0.313134i 0.455181 0.890399i \(-0.349575\pi\)
−0.816557 + 0.577265i \(0.804120\pi\)
\(240\) −1.37883 + 3.61923i −0.0890031 + 0.233620i
\(241\) 10.2681 1.47633i 0.661425 0.0950986i 0.196576 0.980489i \(-0.437018\pi\)
0.464849 + 0.885390i \(0.346109\pi\)
\(242\) −0.0201272 0.139988i −0.00129382 0.00899874i
\(243\) −14.2710 + 6.27194i −0.915488 + 0.402345i
\(244\) 8.28647 + 7.18027i 0.530487 + 0.459670i
\(245\) 28.2060 + 23.9439i 1.80201 + 1.52972i
\(246\) −9.59624 + 3.39298i −0.611834 + 0.216328i
\(247\) −2.79001 + 0.819221i −0.177524 + 0.0521258i
\(248\) 3.45138 + 3.98310i 0.219163 + 0.252927i
\(249\) 19.2402 13.8948i 1.21930 0.880548i
\(250\) 10.3066 + 4.33281i 0.651849 + 0.274031i
\(251\) −0.398058 + 2.76855i −0.0251252 + 0.174749i −0.998520 0.0543845i \(-0.982680\pi\)
0.973395 + 0.229134i \(0.0735894\pi\)
\(252\) −3.62003 14.1001i −0.228040 0.888220i
\(253\) 5.71856 14.9516i 0.359523 0.940000i
\(254\) 17.7778i 1.11548i
\(255\) 21.2162 11.3929i 1.32861 0.713453i
\(256\) 0.415415 + 0.909632i 0.0259634 + 0.0568520i
\(257\) 22.0394 + 6.47135i 1.37478 + 0.403672i 0.883949 0.467583i \(-0.154875\pi\)
0.490831 + 0.871255i \(0.336693\pi\)
\(258\) −0.00757195 0.139424i −0.000471409 0.00868016i
\(259\) −3.90546 + 1.14675i −0.242673 + 0.0712553i
\(260\) 1.81055 + 2.04714i 0.112285 + 0.126958i
\(261\) −3.44674 + 19.2595i −0.213348 + 1.19213i
\(262\) 6.75174 + 5.85041i 0.417124 + 0.361440i
\(263\) 6.44216 + 10.0242i 0.397241 + 0.618119i 0.981046 0.193775i \(-0.0620732\pi\)
−0.583805 + 0.811894i \(0.698437\pi\)
\(264\) −2.85730 + 5.02594i −0.175855 + 0.309326i
\(265\) −3.19302 + 23.9291i −0.196146 + 1.46995i
\(266\) −6.24154 9.71203i −0.382693 0.595482i
\(267\) −8.86213 + 1.76929i −0.542353 + 0.108279i
\(268\) 1.10036 2.40946i 0.0672155 0.147181i
\(269\) 3.21489 5.00247i 0.196016 0.305006i −0.729307 0.684186i \(-0.760158\pi\)
0.925323 + 0.379180i \(0.123794\pi\)
\(270\) 10.7095 + 4.50628i 0.651760 + 0.274243i
\(271\) 2.07086 + 2.38989i 0.125796 + 0.145176i 0.815153 0.579245i \(-0.196653\pi\)
−0.689358 + 0.724421i \(0.742107\pi\)
\(272\) 1.75177 5.96599i 0.106217 0.361741i
\(273\) −9.99853 2.35527i −0.605139 0.142547i
\(274\) 10.9387 + 1.57275i 0.660830 + 0.0950131i
\(275\) 14.2202 + 8.73621i 0.857511 + 0.526813i
\(276\) −7.09999 + 4.31162i −0.427369 + 0.259529i
\(277\) 32.3648i 1.94462i 0.233705 + 0.972308i \(0.424915\pi\)
−0.233705 + 0.972308i \(0.575085\pi\)
\(278\) −0.459434 + 3.19543i −0.0275550 + 0.191649i
\(279\) 12.2972 9.93840i 0.736217 0.594996i
\(280\) −5.77325 + 9.18698i −0.345018 + 0.549027i
\(281\) −3.09085 3.56703i −0.184385 0.212791i 0.656031 0.754734i \(-0.272234\pi\)
−0.840415 + 0.541943i \(0.817689\pi\)
\(282\) −7.20479 2.82887i −0.429039 0.168457i
\(283\) 9.86425 + 6.33937i 0.586369 + 0.376837i 0.799930 0.600093i \(-0.204870\pi\)
−0.213561 + 0.976930i \(0.568506\pi\)
\(284\) −7.74033 3.53489i −0.459304 0.209757i
\(285\) 9.18612 + 0.721650i 0.544139 + 0.0427468i
\(286\) 2.20557 + 3.43194i 0.130418 + 0.202935i
\(287\) −28.2252 + 4.05817i −1.66608 + 0.239546i
\(288\) 2.77002 1.15196i 0.163225 0.0678799i
\(289\) −18.2230 + 11.7112i −1.07194 + 0.688896i
\(290\) 12.1876 8.00838i 0.715681 0.470269i
\(291\) 11.4870 6.01908i 0.673381 0.352845i
\(292\) −1.80184 + 2.80372i −0.105445 + 0.164075i
\(293\) −0.449712 1.53158i −0.0262725 0.0894758i 0.945313 0.326164i \(-0.105756\pi\)
−0.971586 + 0.236688i \(0.923938\pi\)
\(294\) −1.55414 28.6167i −0.0906393 1.66896i
\(295\) −8.79891 5.52938i −0.512293 0.321933i
\(296\) −0.348459 0.763019i −0.0202538 0.0443496i
\(297\) 14.7751 + 9.08376i 0.857339 + 0.527093i
\(298\) −10.2016 −0.590961
\(299\) 0.369581 + 5.84980i 0.0213734 + 0.338303i
\(300\) −3.05198 8.10465i −0.176206 0.467922i
\(301\) 0.0556708 0.387199i 0.00320881 0.0223178i
\(302\) −3.87181 8.47809i −0.222798 0.487859i
\(303\) 23.7057 17.1197i 1.36186 0.983499i
\(304\) 1.79804 1.55801i 0.103125 0.0893582i
\(305\) −24.5163 + 0.248762i −1.40380 + 0.0142441i
\(306\) −17.7073 5.86581i −1.01226 0.335326i
\(307\) −0.772740 0.352899i −0.0441026 0.0201410i 0.393242 0.919435i \(-0.371354\pi\)
−0.437344 + 0.899294i \(0.644081\pi\)
\(308\) −10.6067 + 12.2408i −0.604372 + 0.697483i
\(309\) −30.4108 2.69975i −1.73001 0.153584i
\(310\) −11.6814 1.55873i −0.663461 0.0885301i
\(311\) 14.6416 2.10514i 0.830248 0.119372i 0.285930 0.958251i \(-0.407698\pi\)
0.544318 + 0.838879i \(0.316789\pi\)
\(312\) 0.187195 2.10862i 0.0105978 0.119377i
\(313\) −21.6863 + 25.0273i −1.22578 + 1.41463i −0.346686 + 0.937981i \(0.612693\pi\)
−0.879095 + 0.476646i \(0.841852\pi\)
\(314\) 4.45138 9.74717i 0.251206 0.550064i
\(315\) 26.9510 + 18.2544i 1.51852 + 1.02852i
\(316\) 1.74128 + 5.93026i 0.0979548 + 0.333603i
\(317\) 13.6650 + 15.7702i 0.767501 + 0.885744i 0.996141 0.0877675i \(-0.0279732\pi\)
−0.228640 + 0.973511i \(0.573428\pi\)
\(318\) 15.1598 10.9480i 0.850118 0.613934i
\(319\) 19.8019 9.04321i 1.10869 0.506323i
\(320\) −2.04332 0.908211i −0.114225 0.0507705i
\(321\) 4.81302 6.20480i 0.268637 0.346318i
\(322\) −21.8710 + 7.95119i −1.21882 + 0.443102i
\(323\) −14.7932 −0.823118
\(324\) −3.16897 8.42364i −0.176054 0.467980i
\(325\) −6.06520 0.746767i −0.336437 0.0414232i
\(326\) −4.25388 + 14.4874i −0.235601 + 0.802382i
\(327\) −25.4726 + 1.38338i −1.40864 + 0.0765013i
\(328\) −1.65561 5.63847i −0.0914155 0.311333i
\(329\) −18.2424 11.7237i −1.00574 0.646347i
\(330\) −2.65948 12.6510i −0.146400 0.696416i
\(331\) 19.0804 22.0199i 1.04875 1.21032i 0.0716761 0.997428i \(-0.477165\pi\)
0.977075 0.212895i \(-0.0682893\pi\)
\(332\) 7.40798 + 11.5270i 0.406566 + 0.632628i
\(333\) −2.32355 + 0.966290i −0.127330 + 0.0529523i
\(334\) 1.28110 + 8.91022i 0.0700984 + 0.487545i
\(335\) 1.72627 + 5.66582i 0.0943161 + 0.309557i
\(336\) 8.24203 1.64549i 0.449640 0.0897687i
\(337\) 12.9115 28.2722i 0.703333 1.54009i −0.132549 0.991176i \(-0.542316\pi\)
0.835882 0.548909i \(-0.184957\pi\)
\(338\) 9.67966 + 6.22074i 0.526504 + 0.338364i
\(339\) −3.56520 + 9.08013i −0.193635 + 0.493165i
\(340\) 5.90377 + 12.5879i 0.320177 + 0.682673i
\(341\) −16.8793 4.95622i −0.914068 0.268395i
\(342\) −4.48637 5.55120i −0.242595 0.300174i
\(343\) 6.59238 45.8510i 0.355955 2.47572i
\(344\) 0.0806151 0.00434648
\(345\) 5.50506 17.7396i 0.296382 0.955069i
\(346\) 11.9943 0.644815
\(347\) −3.14886 + 21.9008i −0.169040 + 1.17570i 0.711835 + 0.702347i \(0.247864\pi\)
−0.880874 + 0.473350i \(0.843045\pi\)
\(348\) −10.9952 2.59005i −0.589405 0.138841i
\(349\) 13.3853 + 3.93029i 0.716501 + 0.210384i 0.619608 0.784911i \(-0.287291\pi\)
0.0968927 + 0.995295i \(0.469110\pi\)
\(350\) −3.93947 23.9403i −0.210574 1.27966i
\(351\) −6.30288 0.778118i −0.336423 0.0415329i
\(352\) −2.80800 1.80459i −0.149667 0.0961851i
\(353\) 10.1537 22.2336i 0.540429 1.18338i −0.420680 0.907209i \(-0.638209\pi\)
0.961110 0.276166i \(-0.0890641\pi\)
\(354\) 1.57598 + 7.89387i 0.0837624 + 0.419555i
\(355\) 18.2013 5.54559i 0.966024 0.294329i
\(356\) −0.742531 5.16442i −0.0393541 0.273714i
\(357\) −45.4306 25.8278i −2.40444 1.36695i
\(358\) 7.72267 + 12.0167i 0.408156 + 0.635103i
\(359\) −14.6951 + 16.9591i −0.775579 + 0.895066i −0.996782 0.0801615i \(-0.974456\pi\)
0.221202 + 0.975228i \(0.429002\pi\)
\(360\) −2.93318 + 6.03295i −0.154592 + 0.317964i
\(361\) 11.2220 + 7.21195i 0.590632 + 0.379576i
\(362\) −0.755089 2.57160i −0.0396866 0.135160i
\(363\) −0.0132838 0.244598i −0.000697221 0.0128381i
\(364\) 1.67086 5.69042i 0.0875768 0.298259i
\(365\) −1.13537 7.36534i −0.0594278 0.385520i
\(366\) 13.1966 + 13.6570i 0.689798 + 0.713865i
\(367\) 18.1073 0.945192 0.472596 0.881279i \(-0.343317\pi\)
0.472596 + 0.881279i \(0.343317\pi\)
\(368\) −2.26336 4.22814i −0.117986 0.220407i
\(369\) −17.0757 + 4.38400i −0.888928 + 0.228222i
\(370\) 1.71398 + 0.761827i 0.0891056 + 0.0396055i
\(371\) 47.6540 21.7629i 2.47407 1.12987i
\(372\) 5.34448 + 7.40053i 0.277098 + 0.383700i
\(373\) −12.3454 14.2473i −0.639219 0.737698i 0.340018 0.940419i \(-0.389567\pi\)
−0.979236 + 0.202721i \(0.935021\pi\)
\(374\) 5.84720 + 19.9137i 0.302352 + 1.02972i
\(375\) 17.1181 + 9.05384i 0.883973 + 0.467538i
\(376\) 1.85642 4.06500i 0.0957376 0.209636i
\(377\) −5.21988 + 6.02407i −0.268838 + 0.310255i
\(378\) −4.08590 24.8808i −0.210156 1.27973i
\(379\) 13.8020 1.98442i 0.708959 0.101933i 0.221604 0.975137i \(-0.428871\pi\)
0.487355 + 0.873204i \(0.337962\pi\)
\(380\) −0.703640 + 5.27321i −0.0360960 + 0.270510i
\(381\) 2.72290 30.6715i 0.139499 1.57135i
\(382\) 15.7676 18.1968i 0.806743 0.931031i
\(383\) 21.4044 + 9.77508i 1.09372 + 0.499483i 0.878820 0.477154i \(-0.158332\pi\)
0.214896 + 0.976637i \(0.431059\pi\)
\(384\) 0.577380 + 1.63298i 0.0294643 + 0.0833328i
\(385\) −0.367471 36.2154i −0.0187281 1.84571i
\(386\) −17.2773 + 14.9708i −0.879390 + 0.761996i
\(387\) 0.00829093 0.241703i 0.000421452 0.0122865i
\(388\) 3.11035 + 6.81073i 0.157904 + 0.345762i
\(389\) 3.01858 20.9947i 0.153048 1.06447i −0.758024 0.652227i \(-0.773835\pi\)
0.911072 0.412247i \(-0.135256\pi\)
\(390\) 2.81013 + 3.80917i 0.142296 + 0.192885i
\(391\) −6.58044 + 29.0847i −0.332787 + 1.47088i
\(392\) 16.5462 0.835710
\(393\) 10.7525 + 11.1276i 0.542391 + 0.561315i
\(394\) 1.00575 + 2.20230i 0.0506692 + 0.110950i
\(395\) −11.7016 7.35347i −0.588771 0.369993i
\(396\) −5.69939 + 8.23346i −0.286405 + 0.413747i
\(397\) −0.194218 0.661447i −0.00974755 0.0331971i 0.954476 0.298289i \(-0.0964159\pi\)
−0.964223 + 0.265092i \(0.914598\pi\)
\(398\) 5.37104 8.35750i 0.269226 0.418924i
\(399\) −9.28079 17.7118i −0.464621 0.886699i
\(400\) 4.76789 1.50572i 0.238395 0.0752860i
\(401\) 10.8465 6.97064i 0.541650 0.348097i −0.241034 0.970517i \(-0.577487\pi\)
0.782684 + 0.622419i \(0.213850\pi\)
\(402\) 2.26746 3.98843i 0.113091 0.198925i
\(403\) 6.37591 0.916718i 0.317607 0.0456650i
\(404\) 9.12729 + 14.2023i 0.454100 + 0.706593i
\(405\) 17.7865 + 9.41483i 0.883820 + 0.467826i
\(406\) −28.7870 13.1466i −1.42867 0.652454i
\(407\) 2.35541 + 1.51373i 0.116753 + 0.0750329i
\(408\) 3.93604 10.0246i 0.194863 0.496292i
\(409\) 19.9229 + 22.9923i 0.985125 + 1.13689i 0.990584 + 0.136909i \(0.0437169\pi\)
−0.00545882 + 0.999985i \(0.501738\pi\)
\(410\) 11.1258 + 6.99165i 0.549465 + 0.345293i
\(411\) 18.6313 + 4.38880i 0.919012 + 0.216484i
\(412\) 2.50854 17.4473i 0.123587 0.859567i
\(413\) 22.5516i 1.10969i
\(414\) −12.9098 + 6.35124i −0.634480 + 0.312146i
\(415\) −29.4841 8.33330i −1.44732 0.409066i
\(416\) 1.20976 + 0.173937i 0.0593133 + 0.00852797i
\(417\) −1.28207 + 5.44260i −0.0627830 + 0.266525i
\(418\) −2.23733 + 7.61964i −0.109431 + 0.372689i
\(419\) −11.9438 13.7838i −0.583491 0.673384i 0.384861 0.922975i \(-0.374249\pi\)
−0.968352 + 0.249590i \(0.919704\pi\)
\(420\) −11.3675 + 14.9657i −0.554677 + 0.730253i
\(421\) −7.44535 + 11.5852i −0.362864 + 0.564627i −0.973901 0.226975i \(-0.927116\pi\)
0.611037 + 0.791602i \(0.290753\pi\)
\(422\) 4.80859 10.5293i 0.234078 0.512560i
\(423\) −11.9969 5.98406i −0.583309 0.290955i
\(424\) 5.83690 + 9.08239i 0.283465 + 0.441080i
\(425\) −28.5361 12.3385i −1.38420 0.598503i
\(426\) −12.8127 7.28415i −0.620778 0.352918i
\(427\) 28.7648 + 44.7589i 1.39203 + 2.16603i
\(428\) 3.42638 + 2.96898i 0.165620 + 0.143511i
\(429\) 3.27955 + 6.25881i 0.158338 + 0.302178i
\(430\) −0.135027 + 0.119422i −0.00651160 + 0.00575904i
\(431\) 15.1604 4.45149i 0.730249 0.214421i 0.104588 0.994516i \(-0.466648\pi\)
0.625661 + 0.780095i \(0.284829\pi\)
\(432\) 4.95545 1.56317i 0.238419 0.0752083i
\(433\) 7.25996 + 2.13172i 0.348892 + 0.102444i 0.451483 0.892280i \(-0.350895\pi\)
−0.102591 + 0.994724i \(0.532713\pi\)
\(434\) 10.6240 + 23.2632i 0.509966 + 1.11667i
\(435\) 22.2534 11.9499i 1.06697 0.572954i
\(436\) 14.7283i 0.705356i
\(437\) −8.13483 + 8.00081i −0.389142 + 0.382731i
\(438\) −3.53808 + 4.56118i −0.169056 + 0.217942i
\(439\) −0.819397 + 5.69903i −0.0391077 + 0.272000i −0.999988 0.00496511i \(-0.998420\pi\)
0.960880 + 0.276965i \(0.0893286\pi\)
\(440\) 7.37659 1.13710i 0.351665 0.0542092i
\(441\) 1.70171 49.6095i 0.0810338 2.36236i
\(442\) −4.97659 5.74329i −0.236712 0.273180i
\(443\) 5.18802 1.52334i 0.246490 0.0723760i −0.156154 0.987733i \(-0.549910\pi\)
0.402644 + 0.915357i \(0.368091\pi\)
\(444\) −0.484318 1.36978i −0.0229847 0.0650069i
\(445\) 8.89420 + 7.55023i 0.421625 + 0.357915i
\(446\) −1.25062 1.08367i −0.0592188 0.0513134i
\(447\) −17.6004 1.56250i −0.832471 0.0739037i
\(448\) 0.690575 + 4.80305i 0.0326266 + 0.226923i
\(449\) 17.6544 2.53831i 0.833160 0.119790i 0.287483 0.957786i \(-0.407181\pi\)
0.545677 + 0.837995i \(0.316272\pi\)
\(450\) −4.02415 14.4501i −0.189700 0.681186i
\(451\) 14.8241 + 12.8451i 0.698039 + 0.604854i
\(452\) −5.12308 2.33963i −0.240969 0.110047i
\(453\) −5.38138 15.2200i −0.252839 0.715097i
\(454\) −3.57098 12.1616i −0.167594 0.570774i
\(455\) 5.63107 + 12.0064i 0.263989 + 0.562870i
\(456\) 3.34073 2.41259i 0.156444 0.112980i
\(457\) −9.77133 21.3962i −0.457083 1.00087i −0.988143 0.153538i \(-0.950933\pi\)
0.531059 0.847335i \(-0.321794\pi\)
\(458\) 15.9444 + 2.29245i 0.745031 + 0.107119i
\(459\) −29.6514 12.8322i −1.38401 0.598955i
\(460\) 10.0545 + 3.72908i 0.468796 + 0.173869i
\(461\) 1.49932i 0.0698304i 0.999390 + 0.0349152i \(0.0111161\pi\)
−0.999390 + 0.0349152i \(0.988884\pi\)
\(462\) −20.1742 + 19.4940i −0.938588 + 0.906945i
\(463\) −1.31129 + 0.598848i −0.0609410 + 0.0278308i −0.445652 0.895206i \(-0.647028\pi\)
0.384711 + 0.923037i \(0.374301\pi\)
\(464\) 1.83741 6.25766i 0.0852998 0.290504i
\(465\) −19.9148 4.47839i −0.923528 0.207680i
\(466\) 5.44186 1.59787i 0.252089 0.0740201i
\(467\) 15.2039 23.6578i 0.703555 1.09475i −0.287039 0.957919i \(-0.592671\pi\)
0.990594 0.136834i \(-0.0436926\pi\)
\(468\) 0.645923 3.60925i 0.0298578 0.166838i
\(469\) 8.41713 9.71388i 0.388667 0.448545i
\(470\) 2.91238 + 9.55879i 0.134338 + 0.440914i
\(471\) 9.17272 16.1347i 0.422657 0.743446i
\(472\) −4.60017 + 0.661404i −0.211740 + 0.0304436i
\(473\) −0.226367 + 0.145478i −0.0104084 + 0.00668906i
\(474\) 2.09588 + 10.4980i 0.0962669 + 0.482188i
\(475\) −6.63307 9.87479i −0.304346 0.453086i
\(476\) 16.3121 25.3821i 0.747665 1.16339i
\(477\) 27.8315 16.5663i 1.27432 0.758520i
\(478\) 5.58674 4.84094i 0.255532 0.221419i
\(479\) 28.1512 + 8.26594i 1.28626 + 0.377680i 0.852206 0.523206i \(-0.175264\pi\)
0.434055 + 0.900886i \(0.357082\pi\)
\(480\) −3.38616 1.87987i −0.154557 0.0858037i
\(481\) −1.01477 0.145902i −0.0462696 0.00665257i
\(482\) 10.3737i 0.472508i
\(483\) −38.9512 + 10.3681i −1.77234 + 0.471764i
\(484\) 0.141427 0.00642850
\(485\) −15.2990 6.80009i −0.694693 0.308776i
\(486\) −4.17712 15.0184i −0.189478 0.681247i
\(487\) −10.5266 + 35.8502i −0.477005 + 1.62453i 0.272235 + 0.962231i \(0.412237\pi\)
−0.749240 + 0.662298i \(0.769581\pi\)
\(488\) −8.28647 + 7.18027i −0.375111 + 0.325036i
\(489\) −9.55800 + 24.3430i −0.432228 + 1.10083i
\(490\) −27.7143 + 24.5113i −1.25201 + 1.10731i
\(491\) 3.12892 + 1.42893i 0.141206 + 0.0644867i 0.484765 0.874645i \(-0.338905\pi\)
−0.343559 + 0.939131i \(0.611632\pi\)
\(492\) −1.99275 9.98144i −0.0898403 0.449998i
\(493\) −34.1144 + 21.9240i −1.53644 + 0.987407i
\(494\) −0.413823 2.87820i −0.0186188 0.129496i
\(495\) −2.65065 22.2337i −0.119138 0.999331i
\(496\) −4.43374 + 2.84939i −0.199081 + 0.127942i
\(497\) −31.2056 27.0398i −1.39976 1.21290i
\(498\) 11.0152 + 21.0218i 0.493604 + 0.942010i
\(499\) −34.7028 22.3022i −1.55351 0.998382i −0.984364 0.176147i \(-0.943637\pi\)
−0.569148 0.822235i \(-0.692727\pi\)
\(500\) −5.75549 + 9.58511i −0.257394 + 0.428659i
\(501\) 0.845518 + 15.5687i 0.0377749 + 0.695558i
\(502\) −2.68372 0.788012i −0.119780 0.0351707i
\(503\) 15.8125 7.22133i 0.705045 0.321983i −0.0304282 0.999537i \(-0.509687\pi\)
0.735473 + 0.677554i \(0.236960\pi\)
\(504\) 14.4717 1.57653i 0.644621 0.0702244i
\(505\) −36.3270 10.2674i −1.61653 0.456892i
\(506\) 13.9856 + 7.78819i 0.621736 + 0.346227i
\(507\) 15.7472 + 12.2150i 0.699357 + 0.542487i
\(508\) 17.5969 + 2.53005i 0.780736 + 0.112253i
\(509\) −0.466876 + 0.213215i −0.0206939 + 0.00945060i −0.425735 0.904848i \(-0.639984\pi\)
0.405041 + 0.914298i \(0.367257\pi\)
\(510\) 8.25758 + 22.6216i 0.365652 + 1.00170i
\(511\) −12.2221 + 10.5905i −0.540674 + 0.468497i
\(512\) −0.959493 + 0.281733i −0.0424040 + 0.0124509i
\(513\) −6.88995 10.2644i −0.304199 0.453186i
\(514\) −9.54202 + 20.8941i −0.420880 + 0.921599i
\(515\) 21.6444 + 32.9397i 0.953768 + 1.45150i
\(516\) 0.139083 + 0.0123472i 0.00612277 + 0.000543557i
\(517\) 2.12283 + 14.7646i 0.0933619 + 0.649346i
\(518\) −0.579269 4.02891i −0.0254516 0.177020i
\(519\) 20.6933 + 1.83707i 0.908334 + 0.0806386i
\(520\) −2.28397 + 1.50078i −0.100159 + 0.0658135i
\(521\) −8.65873 + 18.9600i −0.379346 + 0.830652i 0.619607 + 0.784912i \(0.287292\pi\)
−0.998953 + 0.0457398i \(0.985435\pi\)
\(522\) −18.5730 6.15258i −0.812917 0.269291i
\(523\) 9.22426 2.70849i 0.403349 0.118434i −0.0737644 0.997276i \(-0.523501\pi\)
0.477113 + 0.878842i \(0.341683\pi\)
\(524\) −6.75174 + 5.85041i −0.294951 + 0.255576i
\(525\) −3.12988 41.9067i −0.136599 1.82896i
\(526\) −10.8390 + 4.95000i −0.472602 + 0.215830i
\(527\) 32.4370 + 4.66374i 1.41298 + 0.203156i
\(528\) −4.56815 3.54348i −0.198803 0.154210i
\(529\) 12.1116 + 19.5527i 0.526593 + 0.850117i
\(530\) −23.2311 6.56598i −1.00909 0.285208i
\(531\) 1.50994 + 13.8604i 0.0655257 + 0.601491i
\(532\) 10.5014 4.79584i 0.455295 0.207926i
\(533\) −6.89134 2.02348i −0.298497 0.0876466i
\(534\) −0.490067 9.02372i −0.0212073 0.390494i
\(535\) −10.1373 + 0.102861i −0.438272 + 0.00444706i
\(536\) 2.22834 + 1.43207i 0.0962496 + 0.0618559i
\(537\) 11.4831 + 21.9148i 0.495534 + 0.945695i
\(538\) 4.49403 + 3.89410i 0.193751 + 0.167886i
\(539\) −46.4618 + 29.8592i −2.00125 + 1.28613i
\(540\) −5.98453 + 9.95918i −0.257533 + 0.428575i
\(541\) −1.91788 13.3391i −0.0824561 0.573495i −0.988605 0.150535i \(-0.951900\pi\)
0.906149 0.422959i \(-0.139009\pi\)
\(542\) −2.66028 + 1.70966i −0.114269 + 0.0734362i
\(543\) −0.908857 4.55234i −0.0390028 0.195360i
\(544\) 5.65596 + 2.58299i 0.242497 + 0.110745i
\(545\) 21.8182 + 24.6693i 0.934590 + 1.05672i
\(546\) 3.75423 9.56157i 0.160666 0.409198i
\(547\) 13.1168 11.3658i 0.560834 0.485965i −0.327697 0.944783i \(-0.606272\pi\)
0.888530 + 0.458818i \(0.151727\pi\)
\(548\) −3.11348 + 10.6035i −0.133001 + 0.452960i
\(549\) 20.6759 + 25.5833i 0.882427 + 1.09187i
\(550\) −10.6710 + 12.8322i −0.455015 + 0.547166i
\(551\) −15.5164 −0.661023
\(552\) −3.25730 7.64133i −0.138640 0.325237i
\(553\) 29.9911i 1.27535i
\(554\) −32.0354 4.60600i −1.36105 0.195690i
\(555\) 2.84039 + 1.57687i 0.120568 + 0.0669345i
\(556\) −3.09752 0.909515i −0.131364 0.0385720i
\(557\) −1.24654 + 1.08014i −0.0528178 + 0.0457669i −0.680870 0.732405i \(-0.738398\pi\)
0.628052 + 0.778171i \(0.283853\pi\)
\(558\) 8.08716 + 13.5865i 0.342357 + 0.575160i
\(559\) 0.0532681 0.0828868i 0.00225300 0.00350574i
\(560\) −8.27186 7.02193i −0.349550 0.296731i
\(561\) 7.03794 + 35.2521i 0.297142 + 1.48834i
\(562\) 3.97060 2.55175i 0.167489 0.107639i
\(563\) 10.1569 1.46034i 0.428061 0.0615458i 0.0750823 0.997177i \(-0.476078\pi\)
0.352978 + 0.935632i \(0.385169\pi\)
\(564\) 3.82543 6.72886i 0.161079 0.283336i
\(565\) 12.0469 3.67045i 0.506815 0.154417i
\(566\) −7.67868 + 8.86166i −0.322759 + 0.372484i
\(567\) −3.23846 43.5518i −0.136003 1.82900i
\(568\) 4.60047 7.15847i 0.193032 0.300363i
\(569\) 8.71612 2.55928i 0.365399 0.107291i −0.0938787 0.995584i \(-0.529927\pi\)
0.459277 + 0.888293i \(0.348108\pi\)
\(570\) −2.02162 + 8.98991i −0.0846765 + 0.376546i
\(571\) −0.652046 + 2.22066i −0.0272873 + 0.0929319i −0.972011 0.234936i \(-0.924512\pi\)
0.944724 + 0.327868i \(0.106330\pi\)
\(572\) −3.71089 + 1.69471i −0.155160 + 0.0708592i
\(573\) 29.9904 28.9793i 1.25287 1.21063i
\(574\) 28.5155i 1.19021i
\(575\) −22.3652 + 8.64858i −0.932693 + 0.360671i
\(576\) 0.746021 + 2.90576i 0.0310842 + 0.121073i
\(577\) −46.6498 6.70723i −1.94206 0.279226i −0.943428 0.331578i \(-0.892419\pi\)
−0.998629 + 0.0523524i \(0.983328\pi\)
\(578\) −8.99862 19.7042i −0.374293 0.819588i
\(579\) −32.1008 + 23.1824i −1.33407 + 0.963429i
\(580\) 6.19239 + 13.2033i 0.257125 + 0.548236i
\(581\) 18.7322 + 63.7960i 0.777142 + 2.64670i
\(582\) 4.32304 + 12.2267i 0.179196 + 0.506813i
\(583\) −32.7800 14.9701i −1.35761 0.620000i
\(584\) −2.51875 2.18251i −0.104227 0.0903129i
\(585\) 4.26479 + 7.00223i 0.176328 + 0.289506i
\(586\) 1.57999 0.227168i 0.0652688 0.00938424i
\(587\) −3.64962 25.3837i −0.150636 1.04770i −0.915157 0.403097i \(-0.867934\pi\)
0.764521 0.644599i \(-0.222976\pi\)
\(588\) 28.5466 + 2.53426i 1.17724 + 0.104511i
\(589\) 9.47641 + 8.21135i 0.390469 + 0.338343i
\(590\) 6.72532 7.92244i 0.276877 0.326162i
\(591\) 1.39788 + 3.95359i 0.0575013 + 0.162629i
\(592\) 0.804844 0.236323i 0.0330789 0.00971283i
\(593\) −0.557126 0.642958i −0.0228784 0.0264031i 0.744195 0.667962i \(-0.232833\pi\)
−0.767073 + 0.641559i \(0.778288\pi\)
\(594\) −11.0940 + 13.3320i −0.455193 + 0.547017i
\(595\) 10.2785 + 66.6787i 0.421378 + 2.73356i
\(596\) 1.45183 10.0977i 0.0594694 0.413619i
\(597\) 10.5465 13.5963i 0.431641 0.556458i
\(598\) −5.84285 0.466694i −0.238932 0.0190845i
\(599\) 0.0217945i 0.000890501i 1.00000 0.000445250i \(0.000141728\pi\)
−1.00000 0.000445250i \(0.999858\pi\)
\(600\) 8.45650 1.86750i 0.345235 0.0762406i
\(601\) 6.82025 + 14.9343i 0.278204 + 0.609181i 0.996222 0.0868431i \(-0.0276779\pi\)
−0.718018 + 0.696024i \(0.754951\pi\)
\(602\) 0.375335 + 0.110208i 0.0152975 + 0.00449175i
\(603\) 4.52285 6.53381i 0.184185 0.266077i
\(604\) 8.94281 2.62585i 0.363878 0.106844i
\(605\) −0.236885 + 0.209508i −0.00963075 + 0.00851770i
\(606\) 13.5717 + 25.9008i 0.551314 + 1.05215i
\(607\) −19.5482 16.9386i −0.793435 0.687516i 0.160663 0.987009i \(-0.448637\pi\)
−0.954098 + 0.299494i \(0.903182\pi\)
\(608\) 1.28627 + 2.00147i 0.0521650 + 0.0811703i
\(609\) −47.6517 27.0904i −1.93094 1.09776i
\(610\) 3.24280 24.3021i 0.131297 0.983965i
\(611\) −2.95288 4.59476i −0.119461 0.185884i
\(612\) 8.32611 16.6923i 0.336563 0.674745i
\(613\) 15.0218 32.8931i 0.606724 1.32854i −0.318068 0.948068i \(-0.603034\pi\)
0.924792 0.380472i \(-0.124239\pi\)
\(614\) 0.459279 0.714652i 0.0185350 0.0288410i
\(615\) 18.1241 + 13.7665i 0.730836 + 0.555119i
\(616\) −10.6067 12.2408i −0.427356 0.493195i
\(617\) −5.79065 + 19.7211i −0.233123 + 0.793943i 0.756961 + 0.653461i \(0.226683\pi\)
−0.990083 + 0.140482i \(0.955135\pi\)
\(618\) 7.00018 29.7170i 0.281588 1.19539i
\(619\) −11.4223 1.64227i −0.459099 0.0660085i −0.0911146 0.995840i \(-0.529043\pi\)
−0.367985 + 0.929832i \(0.619952\pi\)
\(620\) 3.20531 11.3407i 0.128728 0.455454i
\(621\) −23.2455 + 8.98028i −0.932811 + 0.360366i
\(622\) 14.7921i 0.593111i
\(623\) 3.60309 25.0600i 0.144355 1.00401i
\(624\) 2.06051 + 0.485378i 0.0824866 + 0.0194307i
\(625\) −4.55898 24.5808i −0.182359 0.983232i
\(626\) −21.6863 25.0273i −0.866758 1.00029i
\(627\) −5.02703 + 12.8032i −0.200760 + 0.511312i
\(628\) 9.01446 + 5.79324i 0.359716 + 0.231175i
\(629\) −4.74434 2.16667i −0.189169 0.0863908i
\(630\) −21.9041 + 24.0788i −0.872682 + 0.959322i
\(631\) −1.42084 2.21088i −0.0565629 0.0880136i 0.811820 0.583907i \(-0.198477\pi\)
−0.868383 + 0.495894i \(0.834841\pi\)
\(632\) −6.11771 + 0.879594i −0.243350 + 0.0349884i
\(633\) 9.90879 17.4294i 0.393839 0.692757i
\(634\) −17.5544 + 11.2815i −0.697175 + 0.448047i
\(635\) −33.2221 + 21.8300i −1.31838 + 0.866298i
\(636\) 8.67912 + 16.5635i 0.344149 + 0.656787i
\(637\) 10.9333 17.0125i 0.433191 0.674059i
\(638\) 6.13306 + 20.8873i 0.242810 + 0.826936i
\(639\) −20.9897 14.5295i −0.830338 0.574779i
\(640\) 1.18976 1.89327i 0.0470294 0.0748380i
\(641\) −16.0864 35.2243i −0.635375 1.39128i −0.903791 0.427973i \(-0.859228\pi\)
0.268417 0.963303i \(-0.413500\pi\)
\(642\) 5.45668 + 5.64707i 0.215358 + 0.222872i
\(643\) −26.9435 −1.06255 −0.531275 0.847200i \(-0.678287\pi\)
−0.531275 + 0.847200i \(0.678287\pi\)
\(644\) −4.75769 22.7800i −0.187479 0.897657i
\(645\) −0.251249 + 0.185353i −0.00989292 + 0.00729829i
\(646\) 2.10530 14.6427i 0.0828318 0.576108i
\(647\) −18.5997 40.7277i −0.731230 1.60117i −0.797464 0.603366i \(-0.793826\pi\)
0.0662342 0.997804i \(-0.478902\pi\)
\(648\) 8.78889 1.93790i 0.345260 0.0761280i
\(649\) 11.7237 10.1587i 0.460196 0.398762i
\(650\) 1.60233 5.89718i 0.0628487 0.231307i
\(651\) 14.7661 + 41.7624i 0.578729 + 1.63680i
\(652\) −13.7345 6.27235i −0.537886 0.245644i
\(653\) 6.13103 7.07558i 0.239926 0.276889i −0.622998 0.782224i \(-0.714085\pi\)
0.862923 + 0.505335i \(0.168631\pi\)
\(654\) 2.25582 25.4102i 0.0882096 0.993616i
\(655\) 2.64220 19.8011i 0.103239 0.773695i
\(656\) 5.81670 0.836315i 0.227104 0.0326526i
\(657\) −6.80273 + 7.32735i −0.265400 + 0.285867i
\(658\) 14.2005 16.3883i 0.553594 0.638881i
\(659\) 12.1960 26.7055i 0.475088 1.04030i −0.508697 0.860946i \(-0.669873\pi\)
0.983785 0.179352i \(-0.0574001\pi\)
\(660\) 12.9007 0.831984i 0.502161 0.0323849i
\(661\) 1.95949 + 6.67340i 0.0762152 + 0.259565i 0.988783 0.149361i \(-0.0477216\pi\)
−0.912568 + 0.408926i \(0.865903\pi\)
\(662\) 19.0804 + 22.0199i 0.741579 + 0.855828i
\(663\) −7.70628 10.6709i −0.299287 0.414424i
\(664\) −12.4640 + 5.69211i −0.483696 + 0.220897i
\(665\) −10.4850 + 23.5895i −0.406592 + 0.914762i
\(666\) −0.625779 2.43742i −0.0242484 0.0944480i
\(667\) −6.90214 + 30.5066i −0.267252 + 1.18122i
\(668\) −9.00184 −0.348292
\(669\) −1.99168 2.06117i −0.0770028 0.0796895i
\(670\) −5.85383 + 0.902367i −0.226153 + 0.0348615i
\(671\) 10.3110 35.1159i 0.398050 1.35563i
\(672\) 0.455776 + 8.39231i 0.0175820 + 0.323741i
\(673\) 7.36965 + 25.0987i 0.284079 + 0.967485i 0.970665 + 0.240436i \(0.0772905\pi\)
−0.686586 + 0.727049i \(0.740891\pi\)
\(674\) 26.1469 + 16.8036i 1.00714 + 0.647251i
\(675\) −4.72950 25.5467i −0.182039 0.983291i
\(676\) −7.53498 + 8.69583i −0.289807 + 0.334455i
\(677\) 25.1682 + 39.1626i 0.967294 + 1.50514i 0.859608 + 0.510954i \(0.170708\pi\)
0.107686 + 0.994185i \(0.465656\pi\)
\(678\) −8.48033 4.82115i −0.325685 0.185155i
\(679\) 5.17057 + 35.9621i 0.198428 + 1.38010i
\(680\) −13.2999 + 4.05224i −0.510029 + 0.155396i
\(681\) −4.29818 21.5290i −0.164707 0.824993i
\(682\) 7.30796 16.0022i 0.279836 0.612756i
\(683\) 11.6957 + 7.51640i 0.447525 + 0.287607i 0.744928 0.667145i \(-0.232484\pi\)
−0.297403 + 0.954752i \(0.596120\pi\)
\(684\) 6.13317 3.65069i 0.234508 0.139588i
\(685\) −10.4929 22.3728i −0.400914 0.854819i
\(686\) 44.4461 + 13.0506i 1.69696 + 0.498273i
\(687\) 27.1571 + 6.39717i 1.03611 + 0.244067i
\(688\) −0.0114727 + 0.0797946i −0.000437394 + 0.00304214i
\(689\) 13.1952 0.502696
\(690\) 16.7756 + 7.97364i 0.638637 + 0.303551i
\(691\) −48.1594 −1.83207 −0.916035 0.401099i \(-0.868628\pi\)
−0.916035 + 0.401099i \(0.868628\pi\)
\(692\) −1.70696 + 11.8722i −0.0648889 + 0.451312i
\(693\) −37.7916 + 30.5425i −1.43558 + 1.16021i
\(694\) −21.2298 6.23362i −0.805871 0.236625i
\(695\) 6.53558 3.06522i 0.247909 0.116270i
\(696\) 4.12847 10.5147i 0.156489 0.398559i
\(697\) −30.7388 19.7547i −1.16432 0.748261i
\(698\) −5.79522 + 12.6898i −0.219352 + 0.480315i
\(699\) 9.63338 1.92327i 0.364368 0.0727446i
\(700\) 24.2572 0.492318i 0.916837 0.0186079i
\(701\) 3.67381 + 25.5519i 0.138758 + 0.965083i 0.933613 + 0.358283i \(0.116638\pi\)
−0.794855 + 0.606799i \(0.792453\pi\)
\(702\) 1.66719 6.12799i 0.0629241 0.231286i
\(703\) −1.07895 1.67888i −0.0406933 0.0633200i
\(704\) 2.18584 2.52260i 0.0823821 0.0950740i
\(705\) 3.56058 + 16.9375i 0.134099 + 0.637904i
\(706\) 20.5623 + 13.2146i 0.773871 + 0.497337i
\(707\) 23.0797 + 78.6023i 0.868003 + 2.95615i
\(708\) −8.03781 + 0.436524i −0.302079 + 0.0164056i
\(709\) −1.69608 + 5.77633i −0.0636977 + 0.216934i −0.985191 0.171459i \(-0.945152\pi\)
0.921493 + 0.388394i \(0.126970\pi\)
\(710\) 2.89883 + 18.8052i 0.108791 + 0.705748i
\(711\) 2.00805 + 18.4328i 0.0753078 + 0.691285i
\(712\) 5.21752 0.195535
\(713\) 20.3595 14.9787i 0.762471 0.560958i
\(714\) 32.0303 41.2925i 1.19870 1.54533i
\(715\) 3.70509 8.33582i 0.138563 0.311742i
\(716\) −12.9934 + 5.93391i −0.485588 + 0.221761i
\(717\) 10.3801 7.49622i 0.387651 0.279952i
\(718\) −14.6951 16.9591i −0.548418 0.632908i
\(719\) −9.67608 32.9537i −0.360857 1.22897i −0.917339 0.398106i \(-0.869668\pi\)
0.556482 0.830859i \(-0.312151\pi\)
\(720\) −5.55411 3.76190i −0.206989 0.140198i
\(721\) 35.5315 77.8032i 1.32326 2.89754i
\(722\) −8.73560 + 10.0814i −0.325105 + 0.375192i
\(723\) −1.58886 + 17.8973i −0.0590903 + 0.665609i
\(724\) 2.65288 0.381427i 0.0985936 0.0141756i
\(725\) −29.9311 12.9417i −1.11161 0.480641i
\(726\) 0.243999 + 0.0216614i 0.00905566 + 0.000803928i
\(727\) 1.34472 1.55190i 0.0498731 0.0575566i −0.730265 0.683164i \(-0.760603\pi\)
0.780138 + 0.625607i \(0.215149\pi\)
\(728\) 5.39471 + 2.46368i 0.199941 + 0.0913101i
\(729\) −4.90639 26.5505i −0.181718 0.983351i
\(730\) 7.45195 0.0756135i 0.275809 0.00279858i
\(731\) 0.378822 0.328251i 0.0140112 0.0121408i
\(732\) −15.3961 + 11.1187i −0.569057 + 0.410959i
\(733\) −17.4106 38.1240i −0.643076 1.40814i −0.897485 0.441044i \(-0.854608\pi\)
0.254409 0.967097i \(-0.418119\pi\)
\(734\) −2.57694 + 17.9230i −0.0951164 + 0.661549i
\(735\) −51.5688 + 38.0437i −1.90214 + 1.40326i
\(736\) 4.50722 1.63859i 0.166138 0.0603994i
\(737\) −8.84148 −0.325680
\(738\) −1.90925 17.5259i −0.0702803 0.645135i
\(739\) −8.05339 17.6345i −0.296249 0.648694i 0.701716 0.712456i \(-0.252417\pi\)
−0.997965 + 0.0637622i \(0.979690\pi\)
\(740\) −0.997998 + 1.58812i −0.0366871 + 0.0583803i
\(741\) −0.273121 5.02904i −0.0100334 0.184746i
\(742\) 14.7595 + 50.2662i 0.541838 + 1.84533i
\(743\) 13.6799 21.2864i 0.501867 0.780921i −0.494216 0.869339i \(-0.664545\pi\)
0.996083 + 0.0884183i \(0.0281812\pi\)
\(744\) −8.08580 + 4.23688i −0.296440 + 0.155331i
\(745\) 12.5268 + 19.0640i 0.458948 + 0.698453i
\(746\) 15.8592 10.1921i 0.580647 0.373159i
\(747\) 15.7844 + 37.9553i 0.577521 + 1.38871i
\(748\) −20.5432 + 2.95367i −0.751134 + 0.107997i
\(749\) 11.8940 + 18.5074i 0.434597 + 0.676246i
\(750\) −11.3978 + 15.6553i −0.416190 + 0.571652i
\(751\) −30.8269 14.0782i −1.12489 0.513720i −0.235960 0.971763i \(-0.575824\pi\)
−0.888930 + 0.458042i \(0.848551\pi\)
\(752\) 3.75942 + 2.41603i 0.137092 + 0.0881037i
\(753\) −4.50944 1.77058i −0.164333 0.0645234i
\(754\) −5.21988 6.02407i −0.190097 0.219384i
\(755\) −11.0890 + 17.6459i −0.403570 + 0.642201i
\(756\) 25.2090 0.503411i 0.916843 0.0183089i
\(757\) −6.15408 + 42.8025i −0.223674 + 1.55568i 0.500297 + 0.865854i \(0.333224\pi\)
−0.723971 + 0.689831i \(0.757685\pi\)
\(758\) 13.9439i 0.506465i
\(759\) 22.9360 + 15.5788i 0.832524 + 0.565474i
\(760\) −5.11940 1.44693i −0.185700 0.0524858i
\(761\) −4.51009 0.648452i −0.163490 0.0235064i 0.0600834 0.998193i \(-0.480863\pi\)
−0.223574 + 0.974687i \(0.571772\pi\)
\(762\) 29.9718 + 7.06020i 1.08576 + 0.255764i
\(763\) 20.1349 68.5731i 0.728932 2.48251i
\(764\) 15.7676 + 18.1968i 0.570453 + 0.658338i
\(765\) 10.7817 + 40.2931i 0.389814 + 1.45680i
\(766\) −12.7217 + 19.7954i −0.459655 + 0.715238i
\(767\) −2.35961 + 5.16683i −0.0852007 + 0.186564i
\(768\) −1.69853 + 0.339105i −0.0612905 + 0.0122364i
\(769\) 21.6637 + 33.7093i 0.781212 + 1.21559i 0.972236 + 0.234004i \(0.0751828\pi\)
−0.191024 + 0.981585i \(0.561181\pi\)
\(770\) 35.8991 + 4.79026i 1.29371 + 0.172629i
\(771\) −19.6627 + 34.5864i −0.708135 + 1.24560i
\(772\) −12.3596 19.2320i −0.444833 0.692174i
\(773\) 3.63972 + 3.15384i 0.130912 + 0.113436i 0.717856 0.696192i \(-0.245124\pi\)
−0.586944 +