Properties

Label 690.2.n.a.89.11
Level $690$
Weight $2$
Character 690.89
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 89.11
Character \(\chi\) \(=\) 690.89
Dual form 690.2.n.a.659.11

$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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 −0.555829 + 0.831297i \(0.687599\pi\)
−0.987074 + 0.160267i \(0.948765\pi\)
\(8\) 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 −0.783758 0.621066i \(-0.786700\pi\)
0.926985 0.375098i \(-0.122391\pi\)
\(12\) 0.856023 + 1.50573i 0.247113 + 0.434667i
\(13\) −0.660771 + 1.02818i −0.183265 + 0.285166i −0.920715 0.390236i \(-0.872393\pi\)
0.737450 + 0.675402i \(0.236030\pi\)
\(14\) 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 0.417804 + 0.908537i \(0.362800\pi\)
−0.842671 + 0.538428i \(0.819018\pi\)
\(18\) 1.70749 + 2.46667i 0.402459 + 0.581401i
\(19\) 0.670285 + 2.28278i 0.153774 + 0.523706i 0.999958 0.00918523i \(-0.00292379\pi\)
−0.846184 + 0.532891i \(0.821106\pi\)
\(20\) −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 0.592981 + 0.805216i \(0.297951\pi\)
−0.934180 + 0.356801i \(0.883867\pi\)
\(30\) −3.86495 0.249255i −0.705641 0.0455076i
\(31\) −2.18940 4.79412i −0.393228 0.861050i −0.997912 0.0645844i \(-0.979428\pi\)
0.604684 0.796466i \(-0.293299\pi\)
\(32\) −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 0.799104 0.601193i \(-0.205308\pi\)
−0.708798 + 0.705412i \(0.750762\pi\)
\(38\) 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 0.928640 0.370981i \(-0.120979\pi\)
−0.235046 + 0.971984i \(0.575524\pi\)
\(42\) 4.92065 6.81365i 0.759273 1.05137i
\(43\) 0.0334887 0.0733301i 0.00510699 0.0111827i −0.907061 0.420999i \(-0.861680\pi\)
0.912168 + 0.409816i \(0.134407\pi\)
\(44\) 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 −0.965330 0.261031i \(-0.915937\pi\)
0.163570 0.986532i \(-0.447699\pi\)
\(54\) 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 −0.965391 0.260807i \(-0.916011\pi\)
0.638277 + 0.769807i \(0.279648\pi\)
\(60\) 0.303322 + 3.86109i 0.0391587 + 0.498464i
\(61\) −9.97373 + 4.55485i −1.27701 + 0.583189i −0.934378 0.356283i \(-0.884044\pi\)
−0.342627 + 0.939472i \(0.611317\pi\)
\(62\) −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 −0.999806 0.0197167i \(-0.993724\pi\)
0.953752 0.300596i \(-0.0971855\pi\)
\(68\) 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 0.376954 0.926232i \(-0.376971\pi\)
0.622634 + 0.782513i \(0.286062\pi\)
\(72\) −2.33327 1.88570i −0.274978 0.222232i
\(73\) 0.938954 + 3.19778i 0.109896 + 0.374272i 0.996015 0.0891860i \(-0.0284266\pi\)
−0.886119 + 0.463458i \(0.846608\pi\)
\(74\) 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 −0.976742 0.214417i \(-0.931215\pi\)
0.600794 + 0.799404i \(0.294851\pi\)
\(80\) 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 −0.999984 0.00569681i \(-0.998187\pi\)
−0.136674 + 0.990616i \(0.543641\pi\)
\(84\) −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 −0.759288 0.650755i \(-0.774452\pi\)
0.989036 + 0.147677i \(0.0471797\pi\)
\(90\) 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 −0.947944 0.318437i \(-0.896842\pi\)
0.450103 + 0.892977i \(0.351387\pi\)
\(98\) −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 −0.279385 + 0.960179i \(0.590131\pi\)
−0.990167 + 0.139893i \(0.955324\pi\)
\(102\) −0.952344 10.7275i −0.0942961 1.06218i
\(103\) 2.50854 17.4473i 0.247174 1.71913i −0.367220 0.930134i \(-0.619690\pi\)
0.614394 0.788999i \(-0.289400\pi\)
\(104\) −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 −0.604660 0.796483i \(-0.706691\pi\)
0.205974 + 0.978558i \(0.433964\pi\)
\(108\) −4.31432 2.89597i −0.415146 0.278665i
\(109\) 4.14943 14.1317i 0.397443 1.35357i −0.481418 0.876491i \(-0.659878\pi\)
0.878861 0.477077i \(-0.158304\pi\)
\(110\) −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 0.124982 0.992159i \(-0.460113\pi\)
0.399443 + 0.916758i \(0.369204\pi\)
\(114\) −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 −0.693255 0.720692i \(-0.743824\pi\)
−0.868216 + 0.496186i \(0.834733\pi\)
\(128\) 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 0.985540 0.169446i \(-0.0541977\pi\)
−0.563541 + 0.826088i \(0.690561\pi\)
\(132\) 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 \(0.156498\pi\)
−0.881554 + 0.472083i \(0.843502\pi\)
\(138\) 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 −0.839789 0.542913i \(-0.817321\pi\)
0.958728 0.284325i \(-0.0917695\pi\)
\(150\) −7.58782 4.17433i −0.619543 0.340833i
\(151\) −7.84078 5.03896i −0.638073 0.410065i 0.181217 0.983443i \(-0.441996\pi\)
−0.819291 + 0.573378i \(0.805633\pi\)
\(152\) −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 −0.664952 0.746886i \(-0.731548\pi\)
−0.155597 + 0.987821i \(0.549730\pi\)
\(158\) 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 0.470536 0.882381i \(-0.344061\pi\)
0.700071 + 0.714073i \(0.253152\pi\)
\(164\) −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 0.598276 0.801290i \(-0.295853\pi\)
0.0700912 + 0.997541i \(0.477671\pi\)
\(168\) −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 0.816056 + 0.577973i \(0.196156\pi\)
−0.945834 + 0.324652i \(0.894753\pi\)
\(174\) −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 0.957186 0.289473i \(-0.0934799\pi\)
−0.150304 + 0.988640i \(0.548025\pi\)
\(180\) 6.38898 2.04474i 0.476206 0.152406i
\(181\) −2.43796 1.11338i −0.181212 0.0827569i 0.322743 0.946487i \(-0.395395\pi\)
−0.503955 + 0.863730i \(0.668122\pi\)
\(182\) −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 −0.467315 + 0.884091i \(0.654779\pi\)
−0.998327 + 0.0578200i \(0.981585\pi\)
\(192\) 1.53419 + 0.803900i 0.110721 + 0.0580165i
\(193\) 17.2773 14.9708i 1.24364 1.07762i 0.249634 0.968340i \(-0.419690\pi\)
0.994011 0.109284i \(-0.0348559\pi\)
\(194\) 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 0.611182 0.791490i \(-0.290694\pi\)
−0.466070 + 0.884748i \(0.654331\pi\)
\(198\) 8.96076 4.46963i 0.636814 0.317643i
\(199\) −9.03682 + 4.12698i −0.640603 + 0.292554i −0.709111 0.705097i \(-0.750903\pi\)
0.0685079 + 0.997651i \(0.478176\pi\)
\(200\) −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 −0.640705 0.767787i \(-0.721358\pi\)
−0.123898 + 0.992295i \(0.539540\pi\)
\(212\) 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 0.810006 0.586422i \(-0.199464\pi\)
−0.869917 + 0.493199i \(0.835828\pi\)
\(224\) 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 −0.00574819 0.999983i \(-0.501830\pi\)
−0.759501 + 0.650506i \(0.774557\pi\)
\(228\) −2.86347 + 2.96338i −0.189638 + 0.196255i
\(229\) 16.1083i 1.06447i 0.846597 + 0.532234i \(0.178647\pi\)
−0.846597 + 0.532234i \(0.821353\pi\)
\(230\) 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 −0.970972 0.239192i \(-0.923117\pi\)
0.816621 + 0.577174i \(0.195845\pi\)
\(234\) −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 −0.816557 0.577265i \(-0.804120\pi\)
0.455181 + 0.890399i \(0.349575\pi\)
\(240\) −1.37883 3.61923i −0.0890031 0.233620i
\(241\) 10.2681 + 1.47633i 0.661425 + 0.0950986i 0.464849 0.885390i \(-0.346109\pi\)
0.196576 + 0.980489i \(0.437018\pi\)
\(242\) −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 0.973395 0.229134i \(-0.0735894\pi\)
−0.998520 + 0.0543845i \(0.982680\pi\)
\(252\) −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 0.490831 0.871255i \(-0.336693\pi\)
0.883949 + 0.467583i \(0.154875\pi\)
\(258\) −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 −0.583805 0.811894i \(-0.698437\pi\)
0.981046 + 0.193775i \(0.0620732\pi\)
\(264\) −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 0.925323 0.379180i \(-0.123794\pi\)
−0.729307 + 0.684186i \(0.760158\pi\)
\(270\) 10.7095 4.50628i 0.651760 0.274243i
\(271\) 2.07086 2.38989i 0.125796 0.145176i −0.689358 0.724421i \(-0.742107\pi\)
0.815153 + 0.579245i \(0.196653\pi\)
\(272\) 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 \(-0.575085\pi\)
0.233705 0.972308i \(-0.424915\pi\)
\(278\) −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 −0.840415 0.541943i \(-0.817689\pi\)
0.656031 + 0.754734i \(0.272234\pi\)
\(282\) −7.20479 + 2.82887i −0.429039 + 0.168457i
\(283\) 9.86425 6.33937i 0.586369 0.376837i −0.213561 0.976930i \(-0.568506\pi\)
0.799930 + 0.600093i \(0.204870\pi\)
\(284\) −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 −0.971586 0.236688i \(-0.923938\pi\)
0.945313 + 0.326164i \(0.105756\pi\)
\(294\) −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 −0.437344 0.899294i \(-0.644081\pi\)
0.393242 + 0.919435i \(0.371354\pi\)
\(308\) −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 0.544318 0.838879i \(-0.316789\pi\)
0.285930 + 0.958251i \(0.407698\pi\)
\(312\) 0.187195 + 2.10862i 0.0105978 + 0.119377i
\(313\) −21.6863 25.0273i −1.22578 1.41463i −0.879095 0.476646i \(-0.841852\pi\)
−0.346686 0.937981i \(-0.612693\pi\)
\(314\) 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 −0.228640 0.973511i \(-0.573428\pi\)
0.996141 + 0.0877675i \(0.0279732\pi\)
\(318\) 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 0.977075 + 0.212895i \(0.0682893\pi\)
0.0716761 + 0.997428i \(0.477165\pi\)
\(332\) 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 0.835882 + 0.548909i \(0.184957\pi\)
−0.132549 + 0.991176i \(0.542316\pi\)
\(338\) 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 −0.880874 0.473350i \(-0.843045\pi\)
0.711835 0.702347i \(-0.247864\pi\)
\(348\) −10.9952 + 2.59005i −0.589405 + 0.138841i
\(349\) 13.3853 3.93029i 0.716501 0.210384i 0.0968927 0.995295i \(-0.469110\pi\)
0.619608 + 0.784911i \(0.287291\pi\)
\(350\) −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 0.961110 + 0.276166i \(0.0890641\pi\)
−0.420680 + 0.907209i \(0.638209\pi\)
\(354\) 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 0.221202 0.975228i \(-0.429002\pi\)
−0.996782 + 0.0801615i \(0.974456\pi\)
\(360\) −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 −0.979236 0.202721i \(-0.935021\pi\)
0.340018 + 0.940419i \(0.389567\pi\)
\(374\) 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 0.487355 0.873204i \(-0.337962\pi\)
0.221604 + 0.975137i \(0.428871\pi\)
\(380\) −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 0.214896 0.976637i \(-0.431059\pi\)
0.878820 + 0.477154i \(0.158332\pi\)
\(384\) 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 0.911072 + 0.412247i \(0.135256\pi\)
−0.758024 + 0.652227i \(0.773835\pi\)
\(390\) 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 −0.964223 0.265092i \(-0.914598\pi\)
0.954476 + 0.298289i \(0.0964159\pi\)
\(398\) 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 0.782684 0.622419i \(-0.213850\pi\)
−0.241034 + 0.970517i \(0.577487\pi\)
\(402\) 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 −0.00545882 0.999985i \(-0.501738\pi\)
0.990584 0.136909i \(-0.0437169\pi\)
\(410\) 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 −0.968352 0.249590i \(-0.919704\pi\)
0.384861 + 0.922975i \(0.374249\pi\)
\(420\) −11.3675 14.9657i −0.554677 0.730253i
\(421\) −7.44535 11.5852i −0.362864 0.564627i 0.611037 0.791602i \(-0.290753\pi\)
−0.973901 + 0.226975i \(0.927116\pi\)
\(422\) 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 0.625661 0.780095i \(-0.284829\pi\)
0.104588 + 0.994516i \(0.466648\pi\)
\(432\) 4.95545 + 1.56317i 0.238419 + 0.0752083i
\(433\) 7.25996 2.13172i 0.348892 0.102444i −0.102591 0.994724i \(-0.532713\pi\)
0.451483 + 0.892280i \(0.350895\pi\)
\(434\) 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 0.960880 0.276965i \(-0.0893286\pi\)
−0.999988 + 0.00496511i \(0.998420\pi\)
\(440\) 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 0.402644 0.915357i \(-0.368091\pi\)
−0.156154 + 0.987733i \(0.549910\pi\)
\(444\) −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 0.545677 0.837995i \(-0.316272\pi\)
0.287483 + 0.957786i \(0.407181\pi\)
\(450\) −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 0.531059 + 0.847335i \(0.321794\pi\)
−0.988143 + 0.153538i \(0.950933\pi\)
\(458\) 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 \(-0.988884\pi\)
0.999390 0.0349152i \(-0.0111161\pi\)
\(462\) −20.1742 19.4940i −0.938588 0.906945i
\(463\) −1.31129 0.598848i −0.0609410 0.0278308i 0.384711 0.923037i \(-0.374301\pi\)
−0.445652 + 0.895206i \(0.647028\pi\)
\(464\) 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 0.990594 + 0.136834i \(0.0436926\pi\)
−0.287039 + 0.957919i \(0.592671\pi\)
\(468\) 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 0.434055 0.900886i \(-0.357082\pi\)
0.852206 + 0.523206i \(0.175264\pi\)
\(480\) −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 −0.749240 0.662298i \(-0.769581\pi\)
0.272235 0.962231i \(-0.412237\pi\)
\(488\) −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 −0.343559 0.939131i \(-0.611632\pi\)
0.484765 + 0.874645i \(0.338905\pi\)
\(492\) −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 −0.569148 + 0.822235i \(0.692727\pi\)
−0.984364 + 0.176147i \(0.943637\pi\)
\(500\) −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 0.735473 0.677554i \(-0.236960\pi\)
−0.0304282 + 0.999537i \(0.509687\pi\)
\(504\) 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 0.405041 0.914298i \(-0.367257\pi\)
−0.425735 + 0.904848i \(0.639984\pi\)
\(510\) 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 −0.998953 0.0457398i \(-0.985435\pi\)
0.619607 0.784912i \(-0.287292\pi\)
\(522\) −18.5730 + 6.15258i −0.812917 + 0.269291i
\(523\) 9.22426 + 2.70849i 0.403349 + 0.118434i 0.477113 0.878842i \(-0.341683\pi\)
−0.0737644 + 0.997276i \(0.523501\pi\)
\(524\) −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 0.906149 + 0.422959i \(0.139009\pi\)
−0.988605 + 0.150535i \(0.951900\pi\)
\(542\) −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 0.888530 0.458818i \(-0.151727\pi\)
−0.327697 + 0.944783i \(0.606272\pi\)
\(548\) −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 0.628052 0.778171i \(-0.283853\pi\)
−0.680870 + 0.732405i \(0.738398\pi\)
\(558\) 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 0.352978 0.935632i \(-0.385169\pi\)
0.0750823 + 0.997177i \(0.476078\pi\)
\(564\) 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 0.459277 0.888293i \(-0.348108\pi\)
−0.0938787 + 0.995584i \(0.529927\pi\)
\(570\) −2.02162 8.98991i −0.0846765 0.376546i
\(571\) −0.652046 2.22066i −0.0272873 0.0929319i 0.944724 0.327868i \(-0.106330\pi\)
−0.972011 + 0.234936i \(0.924512\pi\)
\(572\) −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 −0.998629 0.0523524i \(-0.983328\pi\)
−0.943428 + 0.331578i \(0.892419\pi\)
\(578\) −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 0.764521 + 0.644599i \(0.222976\pi\)
−0.915157 + 0.403097i \(0.867934\pi\)
\(588\) 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 −0.767073 0.641559i \(-0.778288\pi\)
0.744195 + 0.667962i \(0.232833\pi\)
\(594\) −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 \(-0.999858\pi\)
1.00000 0.000445250i \(-0.000141728\pi\)
\(600\) 8.45650 + 1.86750i 0.345235 + 0.0762406i
\(601\) 6.82025 14.9343i 0.278204 0.609181i −0.718018 0.696024i \(-0.754951\pi\)
0.996222 + 0.0868431i \(0.0276779\pi\)
\(602\) 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 −0.954098 0.299494i \(-0.903182\pi\)
0.160663 + 0.987009i \(0.448637\pi\)
\(608\) 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 0.924792 + 0.380472i \(0.124239\pi\)
−0.318068 + 0.948068i \(0.603034\pi\)
\(614\) 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 −0.990083 0.140482i \(-0.955135\pi\)
0.756961 0.653461i \(-0.226683\pi\)
\(618\) 7.00018 + 29.7170i 0.281588 + 1.19539i
\(619\) −11.4223 + 1.64227i −0.459099 + 0.0660085i −0.367985 0.929832i \(-0.619952\pi\)
−0.0911146 + 0.995840i \(0.529043\pi\)
\(620\) 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 −0.868383 0.495894i \(-0.834841\pi\)
0.811820 + 0.583907i \(0.198477\pi\)
\(632\) −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 0.268417 + 0.963303i \(0.413500\pi\)
−0.903791 + 0.427973i \(0.859228\pi\)
\(642\) 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 0.0662342 + 0.997804i \(0.478902\pi\)
−0.797464 + 0.603366i \(0.793826\pi\)
\(648\) 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 0.862923 0.505335i \(-0.168631\pi\)
−0.622998 + 0.782224i \(0.714085\pi\)
\(654\) 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 0.983785 + 0.179352i \(0.0574001\pi\)
−0.508697 + 0.860946i \(0.669873\pi\)
\(660\) 12.9007 + 0.831984i 0.502161 + 0.0323849i
\(661\) 1.95949 6.67340i 0.0762152 0.259565i −0.912568 0.408926i \(-0.865903\pi\)
0.988783 + 0.149361i \(0.0477216\pi\)
\(662\) 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 −0.686586 0.727049i \(-0.740891\pi\)
0.970665 0.240436i \(-0.0772905\pi\)
\(674\) 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 0.107686 0.994185i \(-0.465656\pi\)
0.859608 0.510954i \(-0.170708\pi\)
\(678\) −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 −0.297403 0.954752i \(-0.596120\pi\)
0.744928 + 0.667145i \(0.232484\pi\)
\(684\) 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 −0.794855 0.606799i \(-0.792453\pi\)
0.933613 0.358283i \(-0.116638\pi\)
\(702\) 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 0.921493 0.388394i \(-0.126970\pi\)
−0.985191 + 0.171459i \(0.945152\pi\)
\(710\) 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 0.556482 + 0.830859i \(0.312151\pi\)
−0.917339 + 0.398106i \(0.869668\pi\)
\(720\) −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 0.780138 0.625607i \(-0.215149\pi\)
−0.730265 + 0.683164i \(0.760603\pi\)
\(728\) 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 0.254409 + 0.967097i \(0.418119\pi\)
−0.897485 + 0.441044i \(0.854608\pi\)
\(734\) −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 −0.997965 0.0637622i \(-0.979690\pi\)
0.701716 + 0.712456i \(0.252417\pi\)
\(740\) −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 0.996083 0.0884183i \(-0.0281812\pi\)
−0.494216 + 0.869339i \(0.664545\pi\)
\(744\) −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 −0.888930 0.458042i \(-0.848551\pi\)
−0.235960 + 0.971763i \(0.575824\pi\)
\(752\) 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 −0.723971 0.689831i \(-0.757685\pi\)
0.500297 0.865854i \(-0.333224\pi\)
\(758\) 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 −0.223574 0.974687i \(-0.571772\pi\)
0.0600834 + 0.998193i \(0.480863\pi\)
\(762\) 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 −0.191024 0.981585i \(-0.561181\pi\)
0.972236 0.234004i \(-0.0751828\pi\)
\(770\) 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 −0.586944 0.809627i \(-0.699669\pi\)
0.717856 + 0.696192i \(0.245124\pi\)