Properties

Label 930.2.br.b.11.15
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.15
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.15

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.874059 - 1.49533i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.29336 - 1.15205i) q^{6} +(0.359918 + 3.42439i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.47204 + 2.61402i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-0.874059 - 1.49533i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.29336 - 1.15205i) q^{6} +(0.359918 + 3.42439i) q^{7} +(0.587785 - 0.809017i) q^{8} +(-1.47204 + 2.61402i) q^{9} +(0.669131 - 0.743145i) q^{10} +(4.28029 + 1.90571i) q^{11} +(-1.58606 - 0.695991i) q^{12} +(0.215242 + 1.01263i) q^{13} +(1.40050 + 3.14556i) q^{14} +(-1.50462 - 0.857967i) q^{15} +(0.309017 - 0.951057i) q^{16} +(4.82371 - 2.14765i) q^{17} +(-0.592219 + 2.94097i) q^{18} +(1.67953 + 0.356996i) q^{19} +(0.406737 - 0.913545i) q^{20} +(4.80601 - 3.53131i) q^{21} +(4.65969 + 0.489754i) q^{22} +(-0.800242 - 0.581410i) q^{23} +(-1.72351 - 0.171806i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.517629 + 0.896559i) q^{26} +(5.19548 - 0.0836141i) q^{27} +(2.30398 + 2.55883i) q^{28} +(2.44496 + 7.52482i) q^{29} +(-1.69611 - 0.351021i) q^{30} +(-5.07797 - 2.28347i) q^{31} -1.00000i q^{32} +(-0.891558 - 8.06616i) q^{33} +(3.92396 - 3.53315i) q^{34} +(2.02389 + 2.78565i) q^{35} +(0.345575 + 2.98003i) q^{36} +(-2.37140 - 1.36913i) q^{37} +(1.70765 - 0.179481i) q^{38} +(1.32609 - 1.20696i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-5.93336 - 5.34242i) q^{41} +(3.47955 - 4.84362i) q^{42} +(0.0691375 - 0.325266i) q^{43} +(4.58298 - 0.974141i) q^{44} +(0.0321839 + 2.99983i) q^{45} +(-0.940741 - 0.305665i) q^{46} +(-5.39065 - 1.75153i) q^{47} +(-1.69225 + 0.369196i) q^{48} +(-4.74985 + 1.00961i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-7.42766 - 5.33587i) q^{51} +(0.769346 + 0.692722i) q^{52} +(1.22235 - 11.6299i) q^{53} +(4.91536 - 1.68501i) q^{54} +(4.65969 - 0.489754i) q^{55} +(2.98194 + 1.72162i) q^{56} +(-0.934183 - 2.82349i) q^{57} +(4.65060 + 6.40099i) q^{58} +(2.64517 - 2.38172i) q^{59} +(-1.72157 + 0.190286i) q^{60} +1.89691i q^{61} +(-5.53507 - 0.602535i) q^{62} +(-9.48122 - 4.10001i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(0.692722 + 0.769346i) q^{65} +(-3.34050 - 7.39587i) q^{66} +(1.43290 + 2.48185i) q^{67} +(2.64010 - 4.57279i) q^{68} +(-0.169943 + 1.70481i) q^{69} +(2.78565 + 2.02389i) q^{70} +(10.5085 + 1.10449i) q^{71} +(1.24954 + 2.72739i) q^{72} +(1.87339 - 4.20771i) q^{73} +(-2.67842 - 0.569316i) q^{74} +(-1.73203 + 0.00929082i) q^{75} +(1.56861 - 0.698389i) q^{76} +(-4.98533 + 15.3433i) q^{77} +(0.888216 - 1.55767i) q^{78} +(4.71772 + 10.5962i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-4.66619 - 7.69589i) q^{81} +(-7.29386 - 3.24744i) q^{82} +(-4.44010 + 4.93123i) q^{83} +(1.81249 - 5.68179i) q^{84} +(3.10363 - 4.27177i) q^{85} +(-0.0347592 - 0.330711i) q^{86} +(9.11507 - 10.2332i) q^{87} +(4.05764 - 2.34268i) q^{88} +(-7.36112 + 5.34817i) q^{89} +(0.957606 + 2.84306i) q^{90} +(-3.39018 + 1.10154i) q^{91} -0.989153 q^{92} +(1.02389 + 9.58914i) q^{93} -5.66807 q^{94} +(1.63302 - 0.530599i) q^{95} +(-1.49533 + 0.874059i) q^{96} +(4.67822 - 3.39893i) q^{97} +(-4.20539 + 2.42798i) q^{98} +(-11.2823 + 8.38348i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.951057 0.309017i 0.672499 0.218508i
\(3\) −0.874059 1.49533i −0.504638 0.863331i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.29336 1.15205i −0.528013 0.470321i
\(7\) 0.359918 + 3.42439i 0.136036 + 1.29430i 0.823182 + 0.567777i \(0.192197\pi\)
−0.687146 + 0.726519i \(0.741137\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) −1.47204 + 2.61402i −0.490681 + 0.871340i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) 4.28029 + 1.90571i 1.29056 + 0.574593i 0.933194 0.359373i \(-0.117009\pi\)
0.357362 + 0.933966i \(0.383676\pi\)
\(12\) −1.58606 0.695991i −0.457857 0.200915i
\(13\) 0.215242 + 1.01263i 0.0596974 + 0.280854i 0.997864 0.0653308i \(-0.0208103\pi\)
−0.938166 + 0.346185i \(0.887477\pi\)
\(14\) 1.40050 + 3.14556i 0.374298 + 0.840688i
\(15\) −1.50462 0.857967i −0.388492 0.221526i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 4.82371 2.14765i 1.16992 0.520882i 0.272542 0.962144i \(-0.412136\pi\)
0.897378 + 0.441262i \(0.145469\pi\)
\(18\) −0.592219 + 2.94097i −0.139587 + 0.693192i
\(19\) 1.67953 + 0.356996i 0.385311 + 0.0819004i 0.396495 0.918037i \(-0.370227\pi\)
−0.0111835 + 0.999937i \(0.503560\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) 4.80601 3.53131i 1.04876 0.770596i
\(22\) 4.65969 + 0.489754i 0.993450 + 0.104416i
\(23\) −0.800242 0.581410i −0.166862 0.121232i 0.501220 0.865320i \(-0.332885\pi\)
−0.668082 + 0.744087i \(0.732885\pi\)
\(24\) −1.72351 0.171806i −0.351810 0.0350698i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.517629 + 0.896559i 0.101515 + 0.175830i
\(27\) 5.19548 0.0836141i 0.999871 0.0160915i
\(28\) 2.30398 + 2.55883i 0.435412 + 0.483574i
\(29\) 2.44496 + 7.52482i 0.454018 + 1.39732i 0.872284 + 0.489000i \(0.162638\pi\)
−0.418266 + 0.908325i \(0.637362\pi\)
\(30\) −1.69611 0.351021i −0.309666 0.0640873i
\(31\) −5.07797 2.28347i −0.912030 0.410124i
\(32\) 1.00000i 0.176777i
\(33\) −0.891558 8.06616i −0.155200 1.40414i
\(34\) 3.92396 3.53315i 0.672953 0.605929i
\(35\) 2.02389 + 2.78565i 0.342100 + 0.470860i
\(36\) 0.345575 + 2.98003i 0.0575958 + 0.496672i
\(37\) −2.37140 1.36913i −0.389856 0.225083i 0.292242 0.956344i \(-0.405599\pi\)
−0.682098 + 0.731261i \(0.738932\pi\)
\(38\) 1.70765 0.179481i 0.277017 0.0291157i
\(39\) 1.32609 1.20696i 0.212345 0.193268i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −5.93336 5.34242i −0.926635 0.834346i 0.0598481 0.998207i \(-0.480938\pi\)
−0.986483 + 0.163861i \(0.947605\pi\)
\(42\) 3.47955 4.84362i 0.536906 0.747386i
\(43\) 0.0691375 0.325266i 0.0105434 0.0496027i −0.972561 0.232646i \(-0.925262\pi\)
0.983105 + 0.183044i \(0.0585949\pi\)
\(44\) 4.58298 0.974141i 0.690910 0.146857i
\(45\) 0.0321839 + 2.99983i 0.00479769 + 0.447188i
\(46\) −0.940741 0.305665i −0.138705 0.0450679i
\(47\) −5.39065 1.75153i −0.786308 0.255487i −0.111777 0.993733i \(-0.535654\pi\)
−0.674531 + 0.738247i \(0.735654\pi\)
\(48\) −1.69225 + 0.369196i −0.244255 + 0.0532889i
\(49\) −4.74985 + 1.00961i −0.678550 + 0.144230i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −7.42766 5.33587i −1.04008 0.747171i
\(52\) 0.769346 + 0.692722i 0.106689 + 0.0960633i
\(53\) 1.22235 11.6299i 0.167903 1.59749i −0.508567 0.861023i \(-0.669824\pi\)
0.676470 0.736470i \(-0.263509\pi\)
\(54\) 4.91536 1.68501i 0.668895 0.229301i
\(55\) 4.65969 0.489754i 0.628313 0.0660384i
\(56\) 2.98194 + 1.72162i 0.398479 + 0.230062i
\(57\) −0.934183 2.82349i −0.123736 0.373981i
\(58\) 4.65060 + 6.40099i 0.610653 + 0.840492i
\(59\) 2.64517 2.38172i 0.344372 0.310074i −0.478736 0.877959i \(-0.658905\pi\)
0.823108 + 0.567885i \(0.192238\pi\)
\(60\) −1.72157 + 0.190286i −0.222253 + 0.0245658i
\(61\) 1.89691i 0.242875i 0.992599 + 0.121437i \(0.0387504\pi\)
−0.992599 + 0.121437i \(0.961250\pi\)
\(62\) −5.53507 0.602535i −0.702954 0.0765220i
\(63\) −9.48122 4.10001i −1.19452 0.516553i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) 0.692722 + 0.769346i 0.0859216 + 0.0954256i
\(66\) −3.34050 7.39587i −0.411188 0.910369i
\(67\) 1.43290 + 2.48185i 0.175056 + 0.303206i 0.940181 0.340676i \(-0.110656\pi\)
−0.765125 + 0.643882i \(0.777323\pi\)
\(68\) 2.64010 4.57279i 0.320159 0.554532i
\(69\) −0.169943 + 1.70481i −0.0204587 + 0.205236i
\(70\) 2.78565 + 2.02389i 0.332949 + 0.241901i
\(71\) 10.5085 + 1.10449i 1.24713 + 0.131079i 0.704997 0.709211i \(-0.250949\pi\)
0.542137 + 0.840290i \(0.317615\pi\)
\(72\) 1.24954 + 2.72739i 0.147260 + 0.321426i
\(73\) 1.87339 4.20771i 0.219264 0.492476i −0.770102 0.637921i \(-0.779795\pi\)
0.989366 + 0.145445i \(0.0464614\pi\)
\(74\) −2.67842 0.569316i −0.311360 0.0661816i
\(75\) −1.73203 + 0.00929082i −0.199997 + 0.00107281i
\(76\) 1.56861 0.698389i 0.179932 0.0801107i
\(77\) −4.98533 + 15.3433i −0.568131 + 1.74853i
\(78\) 0.888216 1.55767i 0.100571 0.176372i
\(79\) 4.71772 + 10.5962i 0.530785 + 1.19216i 0.957673 + 0.287859i \(0.0929433\pi\)
−0.426888 + 0.904305i \(0.640390\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −4.66619 7.69589i −0.518465 0.855099i
\(82\) −7.29386 3.24744i −0.805472 0.358619i
\(83\) −4.44010 + 4.93123i −0.487364 + 0.541273i −0.935795 0.352545i \(-0.885316\pi\)
0.448431 + 0.893818i \(0.351983\pi\)
\(84\) 1.81249 5.68179i 0.197759 0.619934i
\(85\) 3.10363 4.27177i 0.336635 0.463339i
\(86\) −0.0347592 0.330711i −0.00374818 0.0356615i
\(87\) 9.11507 10.2332i 0.977238 1.09711i
\(88\) 4.05764 2.34268i 0.432546 0.249731i
\(89\) −7.36112 + 5.34817i −0.780277 + 0.566905i −0.905062 0.425279i \(-0.860176\pi\)
0.124785 + 0.992184i \(0.460176\pi\)
\(90\) 0.957606 + 2.84306i 0.100941 + 0.299685i
\(91\) −3.39018 + 1.10154i −0.355388 + 0.115472i
\(92\) −0.989153 −0.103126
\(93\) 1.02389 + 9.58914i 0.106172 + 0.994348i
\(94\) −5.66807 −0.584617
\(95\) 1.63302 0.530599i 0.167544 0.0544383i
\(96\) −1.49533 + 0.874059i −0.152617 + 0.0892083i
\(97\) 4.67822 3.39893i 0.475002 0.345109i −0.324386 0.945925i \(-0.605158\pi\)
0.799387 + 0.600816i \(0.205158\pi\)
\(98\) −4.20539 + 2.42798i −0.424808 + 0.245263i
\(99\) −11.2823 + 8.38348i −1.13392 + 0.842571i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 3.43741 4.73119i 0.342035 0.470771i −0.602999 0.797742i \(-0.706028\pi\)
0.945035 + 0.326970i \(0.106028\pi\)
\(102\) −8.71300 2.77944i −0.862715 0.275206i
\(103\) −7.90146 + 8.77546i −0.778554 + 0.864672i −0.993719 0.111906i \(-0.964304\pi\)
0.215165 + 0.976578i \(0.430971\pi\)
\(104\) 0.945754 + 0.421077i 0.0927389 + 0.0412900i
\(105\) 2.39647 5.46121i 0.233872 0.532960i
\(106\) −2.43132 11.4384i −0.236150 1.11100i
\(107\) 2.20513 + 4.95281i 0.213178 + 0.478806i 0.988208 0.153119i \(-0.0489318\pi\)
−0.775030 + 0.631925i \(0.782265\pi\)
\(108\) 4.15408 3.12147i 0.399727 0.300364i
\(109\) −4.35524 + 13.4040i −0.417156 + 1.28387i 0.493152 + 0.869943i \(0.335845\pi\)
−0.910308 + 0.413931i \(0.864155\pi\)
\(110\) 4.28029 1.90571i 0.408110 0.181702i
\(111\) 0.0254407 + 4.74274i 0.00241472 + 0.450161i
\(112\) 3.36801 + 0.715892i 0.318247 + 0.0676454i
\(113\) 7.92369 17.7969i 0.745398 1.67419i 0.00686304 0.999976i \(-0.497815\pi\)
0.738535 0.674215i \(-0.235518\pi\)
\(114\) −1.76097 2.39662i −0.164930 0.224464i
\(115\) −0.983734 0.103395i −0.0917337 0.00964160i
\(116\) 6.40099 + 4.65060i 0.594317 + 0.431797i
\(117\) −2.96389 0.927993i −0.274012 0.0857930i
\(118\) 1.77971 3.08255i 0.163836 0.283772i
\(119\) 9.09053 + 15.7453i 0.833327 + 1.44337i
\(120\) −1.57851 + 0.712966i −0.144097 + 0.0650846i
\(121\) 7.32873 + 8.13938i 0.666248 + 0.739944i
\(122\) 0.586179 + 1.80407i 0.0530701 + 0.163333i
\(123\) −2.80259 + 13.5419i −0.252701 + 1.22104i
\(124\) −5.45035 + 1.13738i −0.489456 + 0.102140i
\(125\) 1.00000i 0.0894427i
\(126\) −10.2842 0.969481i −0.916185 0.0863682i
\(127\) 2.94752 2.65396i 0.261550 0.235501i −0.527914 0.849298i \(-0.677026\pi\)
0.789463 + 0.613798i \(0.210359\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) −0.546812 + 0.180918i −0.0481441 + 0.0159290i
\(130\) 0.896559 + 0.517629i 0.0786334 + 0.0453990i
\(131\) 18.0248 1.89449i 1.57484 0.165522i 0.723568 0.690253i \(-0.242501\pi\)
0.851268 + 0.524731i \(0.175834\pi\)
\(132\) −5.46246 6.00162i −0.475446 0.522374i
\(133\) −0.617998 + 5.87986i −0.0535872 + 0.509848i
\(134\) 2.12970 + 1.91759i 0.183978 + 0.165654i
\(135\) 4.45761 2.67015i 0.383650 0.229810i
\(136\) 1.09782 5.16482i 0.0941369 0.442880i
\(137\) −15.4826 + 3.29093i −1.32277 + 0.281163i −0.814564 0.580073i \(-0.803024\pi\)
−0.508204 + 0.861236i \(0.669691\pi\)
\(138\) 0.365192 + 1.67389i 0.0310872 + 0.142491i
\(139\) −15.2529 4.95597i −1.29373 0.420360i −0.420337 0.907368i \(-0.638088\pi\)
−0.873397 + 0.487008i \(0.838088\pi\)
\(140\) 3.27472 + 1.06402i 0.276765 + 0.0899263i
\(141\) 2.09263 + 9.59176i 0.176231 + 0.807772i
\(142\) 10.3355 2.19688i 0.867338 0.184358i
\(143\) −1.00849 + 4.74456i −0.0843339 + 0.396760i
\(144\) 2.03119 + 2.20777i 0.169266 + 0.183981i
\(145\) 5.87981 + 5.29420i 0.488292 + 0.439660i
\(146\) 0.481449 4.58068i 0.0398450 0.379100i
\(147\) 5.66136 + 6.22015i 0.466941 + 0.513029i
\(148\) −2.72326 + 0.286226i −0.223850 + 0.0235276i
\(149\) −20.4618 11.8136i −1.67630 0.967811i −0.963988 0.265947i \(-0.914315\pi\)
−0.712311 0.701864i \(-0.752351\pi\)
\(150\) −1.64438 + 0.544062i −0.134263 + 0.0444224i
\(151\) 10.6937 + 14.7187i 0.870244 + 1.19779i 0.979029 + 0.203723i \(0.0653042\pi\)
−0.108784 + 0.994065i \(0.534696\pi\)
\(152\) 1.27602 1.14893i 0.103499 0.0931908i
\(153\) −1.48669 + 15.7707i −0.120192 + 1.27498i
\(154\) 16.1329i 1.30002i
\(155\) −5.53939 + 0.561437i −0.444934 + 0.0450957i
\(156\) 0.363397 1.75591i 0.0290950 0.140585i
\(157\) −7.56247 23.2749i −0.603551 1.85754i −0.506459 0.862264i \(-0.669046\pi\)
−0.0970918 0.995275i \(-0.530954\pi\)
\(158\) 7.76122 + 8.61971i 0.617450 + 0.685747i
\(159\) −18.4590 + 8.33741i −1.46390 + 0.661200i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) 1.70295 2.94960i 0.134211 0.232461i
\(162\) −6.81597 5.87729i −0.535513 0.461764i
\(163\) −1.62740 1.18238i −0.127468 0.0926108i 0.522225 0.852808i \(-0.325102\pi\)
−0.649692 + 0.760197i \(0.725102\pi\)
\(164\) −7.94039 0.834568i −0.620040 0.0651688i
\(165\) −4.80519 6.53972i −0.374084 0.509117i
\(166\) −2.69895 + 6.06194i −0.209479 + 0.470498i
\(167\) −9.93849 2.11249i −0.769064 0.163469i −0.193360 0.981128i \(-0.561938\pi\)
−0.575704 + 0.817658i \(0.695272\pi\)
\(168\) −0.0319906 5.96380i −0.00246813 0.460117i
\(169\) 10.8970 4.85165i 0.838230 0.373204i
\(170\) 1.63167 5.02177i 0.125144 0.385152i
\(171\) −3.40553 + 3.86482i −0.260428 + 0.295550i
\(172\) −0.135253 0.303784i −0.0103130 0.0231633i
\(173\) −3.78907 17.8262i −0.288078 1.35530i −0.849421 0.527716i \(-0.823049\pi\)
0.561343 0.827583i \(-0.310285\pi\)
\(174\) 5.50672 12.5490i 0.417464 0.951340i
\(175\) 3.14556 + 1.40050i 0.237782 + 0.105868i
\(176\) 3.13512 3.48190i 0.236318 0.262458i
\(177\) −5.87350 1.87364i −0.441479 0.140832i
\(178\) −5.34817 + 7.36112i −0.400862 + 0.551739i
\(179\) 1.51299 + 14.3951i 0.113086 + 1.07594i 0.893000 + 0.450056i \(0.148596\pi\)
−0.779914 + 0.625886i \(0.784737\pi\)
\(180\) 1.78929 + 2.40799i 0.133366 + 0.179481i
\(181\) −6.32634 + 3.65251i −0.470233 + 0.271489i −0.716337 0.697754i \(-0.754183\pi\)
0.246104 + 0.969243i \(0.420849\pi\)
\(182\) −2.88386 + 2.09525i −0.213766 + 0.155310i
\(183\) 2.83652 1.65801i 0.209681 0.122564i
\(184\) −0.940741 + 0.305665i −0.0693523 + 0.0225339i
\(185\) −2.73826 −0.201321
\(186\) 3.93698 + 8.80342i 0.288674 + 0.645498i
\(187\) 24.7397 1.80914
\(188\) −5.39065 + 1.75153i −0.393154 + 0.127743i
\(189\) 2.15627 + 17.7612i 0.156846 + 1.29194i
\(190\) 1.38913 1.00926i 0.100778 0.0732193i
\(191\) −18.7851 + 10.8456i −1.35924 + 0.784758i −0.989522 0.144385i \(-0.953879\pi\)
−0.369719 + 0.929144i \(0.620546\pi\)
\(192\) −1.15205 + 1.29336i −0.0831418 + 0.0933404i
\(193\) −0.456525 4.34355i −0.0328614 0.312655i −0.998589 0.0530986i \(-0.983090\pi\)
0.965728 0.259557i \(-0.0835764\pi\)
\(194\) 3.39893 4.67822i 0.244029 0.335877i
\(195\) 0.544948 1.70830i 0.0390246 0.122334i
\(196\) −3.24928 + 3.60869i −0.232091 + 0.257763i
\(197\) −13.1523 5.85576i −0.937059 0.417206i −0.119360 0.992851i \(-0.538084\pi\)
−0.817700 + 0.575645i \(0.804751\pi\)
\(198\) −8.13949 + 11.4596i −0.578448 + 0.814398i
\(199\) 2.84702 + 13.3942i 0.201820 + 0.949489i 0.956124 + 0.292963i \(0.0946413\pi\)
−0.754304 + 0.656526i \(0.772025\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 2.45875 4.31194i 0.173427 0.304141i
\(202\) 1.80716 5.56185i 0.127151 0.391331i
\(203\) −24.8879 + 11.0808i −1.74679 + 0.777721i
\(204\) −9.14545 + 0.0490574i −0.640309 + 0.00343470i
\(205\) −7.80965 1.65999i −0.545450 0.115939i
\(206\) −4.80297 + 10.7876i −0.334639 + 0.751611i
\(207\) 2.69780 1.23599i 0.187510 0.0859071i
\(208\) 1.02959 + 0.108214i 0.0713889 + 0.00750328i
\(209\) 6.50856 + 4.72874i 0.450206 + 0.327094i
\(210\) 0.591571 5.93447i 0.0408223 0.409517i
\(211\) −10.6572 + 18.4589i −0.733674 + 1.27076i 0.221628 + 0.975131i \(0.428863\pi\)
−0.955303 + 0.295630i \(0.904471\pi\)
\(212\) −5.84699 10.1273i −0.401573 0.695545i
\(213\) −7.53350 16.6792i −0.516187 1.14284i
\(214\) 3.62771 + 4.02898i 0.247985 + 0.275415i
\(215\) −0.102758 0.316258i −0.00700806 0.0215686i
\(216\) 2.98618 4.25238i 0.203184 0.289338i
\(217\) 5.99185 18.2108i 0.406753 1.23623i
\(218\) 14.0938i 0.954555i
\(219\) −7.92939 + 0.876441i −0.535819 + 0.0592244i
\(220\) 3.48190 3.13512i 0.234750 0.211370i
\(221\) 3.21305 + 4.42238i 0.216133 + 0.297482i
\(222\) 1.48978 + 4.50275i 0.0999876 + 0.302205i
\(223\) 11.9544 + 6.90186i 0.800524 + 0.462183i 0.843654 0.536886i \(-0.180400\pi\)
−0.0431301 + 0.999069i \(0.513733\pi\)
\(224\) 3.42439 0.359918i 0.228801 0.0240480i
\(225\) 1.52779 + 2.58183i 0.101852 + 0.172122i
\(226\) 2.03633 19.3744i 0.135455 1.28877i
\(227\) −8.47556 7.63143i −0.562543 0.506516i 0.338080 0.941117i \(-0.390223\pi\)
−0.900623 + 0.434602i \(0.856889\pi\)
\(228\) −2.41538 1.73516i −0.159962 0.114914i
\(229\) 1.43859 6.76801i 0.0950644 0.447243i −0.904711 0.426027i \(-0.859913\pi\)
0.999775 0.0212160i \(-0.00675376\pi\)
\(230\) −0.967538 + 0.205657i −0.0637976 + 0.0135606i
\(231\) 27.3008 5.95619i 1.79626 0.391889i
\(232\) 7.52482 + 2.44496i 0.494029 + 0.160520i
\(233\) −8.17971 2.65775i −0.535870 0.174115i 0.0285652 0.999592i \(-0.490906\pi\)
−0.564436 + 0.825477i \(0.690906\pi\)
\(234\) −3.10559 + 0.0333186i −0.203019 + 0.00217810i
\(235\) −5.54421 + 1.17846i −0.361664 + 0.0768741i
\(236\) 0.740046 3.48164i 0.0481729 0.226636i
\(237\) 11.7212 16.3163i 0.761377 1.05985i
\(238\) 13.5112 + 12.1655i 0.875798 + 0.788572i
\(239\) 0.732522 6.96949i 0.0473829 0.450819i −0.944949 0.327217i \(-0.893889\pi\)
0.992332 0.123601i \(-0.0394443\pi\)
\(240\) −1.28093 + 1.16586i −0.0826836 + 0.0752557i
\(241\) 17.1313 1.80057i 1.10352 0.115985i 0.464795 0.885418i \(-0.346128\pi\)
0.638727 + 0.769433i \(0.279461\pi\)
\(242\) 9.48524 + 5.47631i 0.609734 + 0.352030i
\(243\) −7.42939 + 13.7042i −0.476596 + 0.879123i
\(244\) 1.11498 + 1.53464i 0.0713791 + 0.0982450i
\(245\) −3.60869 + 3.24928i −0.230550 + 0.207589i
\(246\) 1.51927 + 13.7452i 0.0968649 + 0.876362i
\(247\) 1.77759i 0.113105i
\(248\) −4.83212 + 2.76597i −0.306840 + 0.175639i
\(249\) 11.2547 + 2.32924i 0.713240 + 0.147610i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) −6.98635 7.75912i −0.440974 0.489752i 0.481154 0.876636i \(-0.340218\pi\)
−0.922128 + 0.386885i \(0.873551\pi\)
\(252\) −10.0804 + 2.25595i −0.635005 + 0.142111i
\(253\) −2.31727 4.01363i −0.145686 0.252335i
\(254\) 1.98314 3.43490i 0.124433 0.215524i
\(255\) −9.10048 0.907171i −0.569894 0.0568093i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −12.8632 1.35198i −0.802385 0.0843341i −0.305547 0.952177i \(-0.598839\pi\)
−0.496838 + 0.867843i \(0.665506\pi\)
\(258\) −0.464142 + 0.341038i −0.0288962 + 0.0212321i
\(259\) 3.83492 8.61337i 0.238290 0.535209i
\(260\) 1.01263 + 0.215242i 0.0628009 + 0.0133487i
\(261\) −23.2691 4.68567i −1.44032 0.290036i
\(262\) 16.5572 7.37174i 1.02291 0.455428i
\(263\) 1.14851 3.53476i 0.0708204 0.217963i −0.909382 0.415963i \(-0.863445\pi\)
0.980202 + 0.198000i \(0.0634446\pi\)
\(264\) −7.04971 4.01989i −0.433879 0.247407i
\(265\) −4.75637 10.6830i −0.292182 0.656251i
\(266\) 1.22922 + 5.78305i 0.0753686 + 0.354581i
\(267\) 14.4313 + 6.33271i 0.883184 + 0.387556i
\(268\) 2.61803 + 1.16562i 0.159922 + 0.0712017i
\(269\) −17.5444 + 19.4850i −1.06970 + 1.18802i −0.0882894 + 0.996095i \(0.528140\pi\)
−0.981409 + 0.191926i \(0.938527\pi\)
\(270\) 3.41432 3.91694i 0.207789 0.238378i
\(271\) 6.01925 8.28479i 0.365644 0.503265i −0.586067 0.810263i \(-0.699324\pi\)
0.951710 + 0.306998i \(0.0993244\pi\)
\(272\) −0.551932 5.25128i −0.0334658 0.318405i
\(273\) 4.61038 + 4.10664i 0.279033 + 0.248545i
\(274\) −13.7079 + 7.91425i −0.828124 + 0.478117i
\(275\) 3.79054 2.75399i 0.228578 0.166072i
\(276\) 0.864578 + 1.47911i 0.0520415 + 0.0890322i
\(277\) −5.14297 + 1.67105i −0.309011 + 0.100404i −0.459418 0.888220i \(-0.651942\pi\)
0.150406 + 0.988624i \(0.451942\pi\)
\(278\) −16.0379 −0.961886
\(279\) 13.4440 9.91253i 0.804873 0.593448i
\(280\) 3.44325 0.205774
\(281\) 3.88372 1.26190i 0.231683 0.0752785i −0.190874 0.981614i \(-0.561132\pi\)
0.422558 + 0.906336i \(0.361132\pi\)
\(282\) 4.95423 + 8.47565i 0.295020 + 0.504718i
\(283\) 8.02626 5.83142i 0.477111 0.346642i −0.323095 0.946367i \(-0.604723\pi\)
0.800206 + 0.599725i \(0.204723\pi\)
\(284\) 9.15079 5.28321i 0.542999 0.313501i
\(285\) −2.22077 1.97813i −0.131547 0.117174i
\(286\) 0.507021 + 4.82398i 0.0299808 + 0.285248i
\(287\) 16.1590 22.2410i 0.953836 1.31284i
\(288\) 2.61402 + 1.47204i 0.154033 + 0.0867409i
\(289\) 7.28051 8.08582i 0.428265 0.475637i
\(290\) 7.22803 + 3.21813i 0.424445 + 0.188975i
\(291\) −9.17157 4.02464i −0.537647 0.235928i
\(292\) −0.957624 4.50527i −0.0560407 0.263651i
\(293\) 11.0412 + 24.7990i 0.645036 + 1.44877i 0.879140 + 0.476563i \(0.158118\pi\)
−0.234104 + 0.972211i \(0.575216\pi\)
\(294\) 7.30640 + 4.16626i 0.426118 + 0.242981i
\(295\) 1.09992 3.38521i 0.0640400 0.197095i
\(296\) −2.50152 + 1.11375i −0.145398 + 0.0647354i
\(297\) 22.3975 + 9.54318i 1.29964 + 0.553751i
\(298\) −23.1110 4.91239i −1.33878 0.284567i
\(299\) 0.416510 0.935496i 0.0240874 0.0541011i
\(300\) −1.39578 + 1.02558i −0.0805852 + 0.0592116i
\(301\) 1.13872 + 0.119685i 0.0656348 + 0.00689850i
\(302\) 14.7187 + 10.6937i 0.846964 + 0.615356i
\(303\) −10.0792 1.00474i −0.579036 0.0577205i
\(304\) 0.858527 1.48701i 0.0492399 0.0852860i
\(305\) 0.948457 + 1.64278i 0.0543085 + 0.0940650i
\(306\) 3.45948 + 15.4582i 0.197765 + 0.883688i
\(307\) 7.69603 + 8.54730i 0.439236 + 0.487820i 0.921595 0.388153i \(-0.126887\pi\)
−0.482359 + 0.875973i \(0.660220\pi\)
\(308\) 4.98533 + 15.3433i 0.284066 + 0.874264i
\(309\) 20.0286 + 4.14504i 1.13939 + 0.235803i
\(310\) −5.09477 + 2.24572i −0.289364 + 0.127548i
\(311\) 22.0667i 1.25129i −0.780109 0.625644i \(-0.784836\pi\)
0.780109 0.625644i \(-0.215164\pi\)
\(312\) −0.196995 1.78226i −0.0111526 0.100901i
\(313\) 3.21364 2.89358i 0.181646 0.163555i −0.573292 0.819351i \(-0.694334\pi\)
0.754938 + 0.655797i \(0.227667\pi\)
\(314\) −14.3847 19.7988i −0.811774 1.11731i
\(315\) −10.2610 + 1.18990i −0.578141 + 0.0670433i
\(316\) 10.0450 + 5.79948i 0.565075 + 0.326246i
\(317\) −18.6915 + 1.96455i −1.04982 + 0.110340i −0.613692 0.789546i \(-0.710316\pi\)
−0.436125 + 0.899886i \(0.643650\pi\)
\(318\) −14.9792 + 13.6335i −0.839990 + 0.764529i
\(319\) −3.87496 + 36.8678i −0.216956 + 2.06420i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) 5.47868 7.62645i 0.305790 0.425667i
\(322\) 0.708127 3.33147i 0.0394624 0.185656i
\(323\) 8.86827 1.88501i 0.493444 0.104885i
\(324\) −8.29855 3.48339i −0.461031 0.193522i
\(325\) 0.984588 + 0.319912i 0.0546151 + 0.0177455i
\(326\) −1.91312 0.621611i −0.105958 0.0344279i
\(327\) 23.8502 5.20339i 1.31892 0.287748i
\(328\) −7.80965 + 1.65999i −0.431216 + 0.0916578i
\(329\) 4.05772 19.0901i 0.223710 1.05247i
\(330\) −6.59090 4.73476i −0.362817 0.260640i
\(331\) −19.5111 17.5679i −1.07243 0.965619i −0.0729318 0.997337i \(-0.523236\pi\)
−0.999497 + 0.0317179i \(0.989902\pi\)
\(332\) −0.693612 + 6.59927i −0.0380669 + 0.362182i
\(333\) 7.06973 4.18347i 0.387419 0.229253i
\(334\) −10.1049 + 1.06206i −0.552913 + 0.0581135i
\(335\) 2.48185 + 1.43290i 0.135598 + 0.0782874i
\(336\) −1.87334 5.66202i −0.102199 0.308889i
\(337\) 2.77751 + 3.82292i 0.151301 + 0.208248i 0.877939 0.478773i \(-0.158918\pi\)
−0.726638 + 0.687020i \(0.758918\pi\)
\(338\) 8.86441 7.98155i 0.482160 0.434139i
\(339\) −33.5381 + 3.70699i −1.82154 + 0.201336i
\(340\) 5.28020i 0.286359i
\(341\) −17.3835 19.4511i −0.941371 1.05333i
\(342\) −2.04456 + 4.72803i −0.110557 + 0.255662i
\(343\) 2.28130 + 7.02112i 0.123179 + 0.379105i
\(344\) −0.222508 0.247120i −0.0119968 0.0133238i
\(345\) 0.705233 + 1.56138i 0.0379684 + 0.0840621i
\(346\) −9.11221 15.7828i −0.489875 0.848489i
\(347\) 6.77714 11.7384i 0.363816 0.630148i −0.624769 0.780809i \(-0.714807\pi\)
0.988585 + 0.150661i \(0.0481403\pi\)
\(348\) 1.35934 13.6365i 0.0728683 0.730994i
\(349\) −9.48771 6.89322i −0.507865 0.368986i 0.304148 0.952625i \(-0.401628\pi\)
−0.812013 + 0.583639i \(0.801628\pi\)
\(350\) 3.42439 + 0.359918i 0.183041 + 0.0192384i
\(351\) 1.20296 + 5.24312i 0.0642091 + 0.279857i
\(352\) 1.90571 4.28029i 0.101575 0.228140i
\(353\) 11.6135 + 2.46852i 0.618122 + 0.131386i 0.506322 0.862345i \(-0.331005\pi\)
0.111801 + 0.993731i \(0.464338\pi\)
\(354\) −6.16502 + 0.0330700i −0.327667 + 0.00175765i
\(355\) 9.65291 4.29775i 0.512323 0.228101i
\(356\) −2.81170 + 8.65352i −0.149020 + 0.458635i
\(357\) 15.5987 27.3557i 0.825573 1.44781i
\(358\) 5.88728 + 13.2230i 0.311152 + 0.698860i
\(359\) −6.77162 31.8579i −0.357392 1.68140i −0.678694 0.734421i \(-0.737454\pi\)
0.321302 0.946977i \(-0.395880\pi\)
\(360\) 2.44583 + 1.73722i 0.128906 + 0.0915594i
\(361\) −14.6640 6.52883i −0.771789 0.343622i
\(362\) −4.88801 + 5.42869i −0.256908 + 0.285326i
\(363\) 5.76534 18.0732i 0.302602 0.948596i
\(364\) −2.09525 + 2.88386i −0.109821 + 0.151155i
\(365\) −0.481449 4.58068i −0.0252002 0.239764i
\(366\) 2.18533 2.45340i 0.114229 0.128241i
\(367\) −8.93281 + 5.15736i −0.466289 + 0.269212i −0.714685 0.699447i \(-0.753430\pi\)
0.248396 + 0.968659i \(0.420097\pi\)
\(368\) −0.800242 + 0.581410i −0.0417155 + 0.0303081i
\(369\) 22.6993 7.64565i 1.18168 0.398017i
\(370\) −2.60424 + 0.846169i −0.135388 + 0.0439902i
\(371\) 40.2653 2.09047
\(372\) 6.46470 + 7.15595i 0.335179 + 0.371019i
\(373\) 22.2339 1.15123 0.575614 0.817721i \(-0.304763\pi\)
0.575614 + 0.817721i \(0.304763\pi\)
\(374\) 23.5288 7.64498i 1.21665 0.395312i
\(375\) −1.49533 + 0.874059i −0.0772187 + 0.0451362i
\(376\) −4.58556 + 3.33161i −0.236482 + 0.171815i
\(377\) −7.09363 + 4.09551i −0.365341 + 0.210930i
\(378\) 7.53926 + 16.2256i 0.387778 + 0.834556i
\(379\) −0.936045 8.90587i −0.0480814 0.457464i −0.991902 0.127006i \(-0.959463\pi\)
0.943821 0.330458i \(-0.107203\pi\)
\(380\) 1.00926 1.38913i 0.0517739 0.0712606i
\(381\) −6.54485 2.08781i −0.335303 0.106961i
\(382\) −14.5142 + 16.1197i −0.742611 + 0.824754i
\(383\) 3.01959 + 1.34441i 0.154294 + 0.0686961i 0.482431 0.875934i \(-0.339754\pi\)
−0.328137 + 0.944630i \(0.606421\pi\)
\(384\) −0.695991 + 1.58606i −0.0355171 + 0.0809385i
\(385\) 3.35421 + 15.7803i 0.170946 + 0.804240i
\(386\) −1.77641 3.98988i −0.0904169 0.203080i
\(387\) 0.748479 + 0.659533i 0.0380473 + 0.0335259i
\(388\) 1.78692 5.49958i 0.0907172 0.279199i
\(389\) −26.2835 + 11.7022i −1.33263 + 0.593324i −0.944570 0.328310i \(-0.893521\pi\)
−0.388058 + 0.921635i \(0.626854\pi\)
\(390\) −0.00961838 1.79309i −0.000487046 0.0907967i
\(391\) −5.10880 1.08591i −0.258363 0.0549167i
\(392\) −1.97510 + 4.43615i −0.0997576 + 0.224059i
\(393\) −18.5876 25.2972i −0.937623 1.27608i
\(394\) −14.3181 1.50489i −0.721334 0.0758152i
\(395\) 9.38376 + 6.81770i 0.472148 + 0.343036i
\(396\) −4.19991 + 13.4140i −0.211053 + 0.674077i
\(397\) 3.19343 5.53119i 0.160274 0.277602i −0.774693 0.632337i \(-0.782096\pi\)
0.934967 + 0.354735i \(0.115429\pi\)
\(398\) 6.84671 + 11.8589i 0.343195 + 0.594430i
\(399\) 9.33251 4.21523i 0.467210 0.211025i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 8.40212 + 25.8591i 0.419582 + 1.29134i 0.908088 + 0.418779i \(0.137542\pi\)
−0.488506 + 0.872560i \(0.662458\pi\)
\(402\) 1.00595 4.86069i 0.0501723 0.242429i
\(403\) 1.21933 5.63362i 0.0607393 0.280631i
\(404\) 5.84808i 0.290953i
\(405\) −7.88898 4.33174i −0.392007 0.215246i
\(406\) −20.2457 + 18.2293i −1.00477 + 0.904703i
\(407\) −7.54113 10.3795i −0.373800 0.514491i
\(408\) −8.68268 + 2.87276i −0.429857 + 0.142223i
\(409\) 20.0478 + 11.5746i 0.991300 + 0.572327i 0.905663 0.423999i \(-0.139374\pi\)
0.0856374 + 0.996326i \(0.472707\pi\)
\(410\) −7.94039 + 0.834568i −0.392148 + 0.0412164i
\(411\) 18.4538 + 20.2752i 0.910257 + 1.00010i
\(412\) −1.23433 + 11.7439i −0.0608110 + 0.578578i
\(413\) 9.10797 + 8.20086i 0.448174 + 0.403538i
\(414\) 2.18382 2.00916i 0.107329 0.0987449i
\(415\) −1.37962 + 6.49062i −0.0677231 + 0.318612i
\(416\) 1.01263 0.215242i 0.0496485 0.0105531i
\(417\) 5.92111 + 27.1400i 0.289958 + 1.32905i
\(418\) 7.65127 + 2.48605i 0.374236 + 0.121597i
\(419\) 19.8273 + 6.44228i 0.968627 + 0.314726i 0.750262 0.661141i \(-0.229928\pi\)
0.218365 + 0.975867i \(0.429928\pi\)
\(420\) −1.27123 5.82682i −0.0620299 0.284320i
\(421\) −32.9634 + 7.00658i −1.60654 + 0.341480i −0.921907 0.387411i \(-0.873369\pi\)
−0.684629 + 0.728891i \(0.740036\pi\)
\(422\) −4.43153 + 20.8487i −0.215723 + 1.01490i
\(423\) 12.5138 11.5129i 0.608442 0.559778i
\(424\) −8.69032 7.82480i −0.422039 0.380006i
\(425\) 0.551932 5.25128i 0.0267726 0.254724i
\(426\) −12.3189 13.5348i −0.596854 0.655765i
\(427\) −6.49577 + 0.682732i −0.314352 + 0.0330397i
\(428\) 4.69518 + 2.71076i 0.226950 + 0.131030i
\(429\) 7.97617 2.63900i 0.385093 0.127412i
\(430\) −0.195458 0.269025i −0.00942582 0.0129735i
\(431\) 7.88657 7.10110i 0.379883 0.342048i −0.456964 0.889485i \(-0.651063\pi\)
0.836847 + 0.547437i \(0.184396\pi\)
\(432\) 1.52597 4.96703i 0.0734183 0.238976i
\(433\) 11.5612i 0.555598i −0.960639 0.277799i \(-0.910395\pi\)
0.960639 0.277799i \(-0.0896049\pi\)
\(434\) 0.0711454 19.1711i 0.00341509 0.920241i
\(435\) 2.77730 13.4197i 0.133161 0.643426i
\(436\) 4.35524 + 13.4040i 0.208578 + 0.641937i
\(437\) −1.13647 1.26218i −0.0543648 0.0603782i
\(438\) −7.27046 + 3.28386i −0.347396 + 0.156909i
\(439\) −6.04463 10.4696i −0.288494 0.499687i 0.684956 0.728584i \(-0.259821\pi\)
−0.973451 + 0.228897i \(0.926488\pi\)
\(440\) 2.34268 4.05764i 0.111683 0.193441i
\(441\) 4.35283 13.9024i 0.207278 0.662019i
\(442\) 4.42238 + 3.21305i 0.210351 + 0.152829i
\(443\) −17.4249 1.83143i −0.827883 0.0870140i −0.318898 0.947789i \(-0.603313\pi\)
−0.508985 + 0.860775i \(0.669979\pi\)
\(444\) 2.80829 + 3.82200i 0.133276 + 0.181384i
\(445\) −3.70083 + 8.31221i −0.175436 + 0.394037i
\(446\) 13.5021 + 2.86996i 0.639342 + 0.135896i
\(447\) 0.219517 + 40.9231i 0.0103828 + 1.93559i
\(448\) 3.14556 1.40050i 0.148614 0.0661672i
\(449\) −2.83819 + 8.73506i −0.133943 + 0.412233i −0.995424 0.0955561i \(-0.969537\pi\)
0.861481 + 0.507789i \(0.169537\pi\)
\(450\) 2.25084 + 1.98336i 0.106106 + 0.0934964i
\(451\) −15.2154 34.1744i −0.716466 1.60921i
\(452\) −4.05036 19.0554i −0.190513 0.896292i
\(453\) 12.6624 28.8557i 0.594929 1.35576i
\(454\) −10.4190 4.63883i −0.488987 0.217711i
\(455\) −2.38522 + 2.64905i −0.111821 + 0.124189i
\(456\) −2.83335 0.903839i −0.132684 0.0423261i
\(457\) 6.02587 8.29389i 0.281878 0.387972i −0.644477 0.764624i \(-0.722925\pi\)
0.926355 + 0.376652i \(0.122925\pi\)
\(458\) −0.723255 6.88131i −0.0337955 0.321542i
\(459\) 24.8819 11.5614i 1.16139 0.539641i
\(460\) −0.856632 + 0.494577i −0.0399407 + 0.0230598i
\(461\) 2.30103 1.67180i 0.107170 0.0778634i −0.532910 0.846172i \(-0.678901\pi\)
0.640079 + 0.768309i \(0.278901\pi\)
\(462\) 24.1240 14.1011i 1.12235 0.656042i
\(463\) −20.7720 + 6.74922i −0.965355 + 0.313663i −0.748940 0.662638i \(-0.769437\pi\)
−0.216416 + 0.976301i \(0.569437\pi\)
\(464\) 7.91206 0.367308
\(465\) 5.68128 + 7.79250i 0.263463 + 0.361368i
\(466\) −8.60065 −0.398418
\(467\) 14.8399 4.82179i 0.686711 0.223126i 0.0551797 0.998476i \(-0.482427\pi\)
0.631531 + 0.775351i \(0.282427\pi\)
\(468\) −2.94330 + 0.991369i −0.136054 + 0.0458260i
\(469\) −7.98308 + 5.80005i −0.368624 + 0.267821i
\(470\) −4.90869 + 2.83403i −0.226421 + 0.130724i
\(471\) −28.1937 + 31.6521i −1.29910 + 1.45845i
\(472\) −0.372061 3.53993i −0.0171255 0.162938i
\(473\) 0.915792 1.26048i 0.0421081 0.0579569i
\(474\) 6.10557 19.1397i 0.280438 0.879118i
\(475\) 1.14893 1.27602i 0.0527167 0.0585478i
\(476\) 16.6092 + 7.39490i 0.761282 + 0.338945i
\(477\) 28.6015 + 20.3150i 1.30957 + 0.930159i
\(478\) −1.45702 6.85474i −0.0666425 0.313528i
\(479\) −1.78766 4.01516i −0.0816805 0.183457i 0.868088 0.496410i \(-0.165349\pi\)
−0.949769 + 0.312952i \(0.898682\pi\)
\(480\) −0.857967 + 1.50462i −0.0391607 + 0.0686764i
\(481\) 0.876002 2.69606i 0.0399423 0.122930i
\(482\) 15.7364 7.00630i 0.716774 0.319128i
\(483\) −5.89911 + 0.0316436i −0.268419 + 0.00143983i
\(484\) 10.7133 + 2.27718i 0.486967 + 0.103508i
\(485\) 2.35200 5.28267i 0.106799 0.239874i
\(486\) −2.83095 + 15.3292i −0.128415 + 0.695349i
\(487\) −26.6767 2.80383i −1.20884 0.127054i −0.521408 0.853307i \(-0.674593\pi\)
−0.687427 + 0.726254i \(0.741260\pi\)
\(488\) 1.53464 + 1.11498i 0.0694697 + 0.0504727i
\(489\) −0.345601 + 3.46697i −0.0156286 + 0.156782i
\(490\) −2.42798 + 4.20539i −0.109685 + 0.189980i
\(491\) 6.35296 + 11.0037i 0.286705 + 0.496588i 0.973021 0.230716i \(-0.0741067\pi\)
−0.686316 + 0.727303i \(0.740773\pi\)
\(492\) 5.69241 + 12.6030i 0.256634 + 0.568186i
\(493\) 27.9545 + 31.0466i 1.25901 + 1.39827i
\(494\) 0.549306 + 1.69059i 0.0247145 + 0.0760633i
\(495\) −5.57904 + 12.9015i −0.250759 + 0.579878i
\(496\) −3.74089 + 4.12380i −0.167971 + 0.185164i
\(497\) 36.3828i 1.63199i
\(498\) 11.4237 1.26267i 0.511907 0.0565814i
\(499\) −2.54376 + 2.29041i −0.113874 + 0.102533i −0.724101 0.689694i \(-0.757745\pi\)
0.610227 + 0.792227i \(0.291078\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) 5.52795 + 16.7078i 0.246971 + 0.746449i
\(502\) −9.04211 5.22047i −0.403569 0.233001i
\(503\) 3.86680 0.406417i 0.172412 0.0181212i −0.0179291 0.999839i \(-0.505707\pi\)
0.190341 + 0.981718i \(0.439041\pi\)
\(504\) −8.88990 + 5.26055i −0.395988 + 0.234323i
\(505\) 0.611291 5.81604i 0.0272021 0.258810i
\(506\) −3.44413 3.10111i −0.153110 0.137861i
\(507\) −16.7795 12.0540i −0.745202 0.535337i
\(508\) 0.824635 3.87960i 0.0365873 0.172130i
\(509\) −18.9269 + 4.02304i −0.838922 + 0.178318i −0.607285 0.794484i \(-0.707741\pi\)
−0.231637 + 0.972802i \(0.574408\pi\)
\(510\) −8.93540 + 1.94943i −0.395666 + 0.0863223i
\(511\) 15.0831 + 4.90080i 0.667237 + 0.216799i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 8.75582 + 1.71433i 0.386579 + 0.0756895i
\(514\) −12.6514 + 2.68914i −0.558030 + 0.118613i
\(515\) −2.45513 + 11.5505i −0.108186 + 0.508976i
\(516\) −0.336039 + 0.467774i −0.0147933 + 0.0205926i
\(517\) −19.7357 17.7701i −0.867973 0.781527i
\(518\) 0.985547 9.37686i 0.0433025 0.411995i
\(519\) −23.3442 + 21.2470i −1.02470 + 0.932642i
\(520\) 1.02959 0.108214i 0.0451503 0.00474549i
\(521\) 16.3405 + 9.43419i 0.715890 + 0.413319i 0.813238 0.581931i \(-0.197703\pi\)
−0.0973482 + 0.995250i \(0.531036\pi\)
\(522\) −23.5782 + 2.73421i −1.03199 + 0.119673i
\(523\) −4.68155 6.44359i −0.204710 0.281759i 0.694302 0.719684i \(-0.255713\pi\)
−0.899011 + 0.437925i \(0.855713\pi\)
\(524\) 13.4688 12.1274i 0.588389 0.529788i
\(525\) −0.655202 5.92778i −0.0285954 0.258710i
\(526\) 3.71667i 0.162054i
\(527\) −29.3987 0.109101i −1.28063 0.00475251i
\(528\) −7.94688 1.64466i −0.345844 0.0715746i
\(529\) −6.80504 20.9438i −0.295871 0.910598i
\(530\) −7.82480 8.69032i −0.339888 0.377484i
\(531\) 2.33206 + 10.4205i 0.101203 + 0.452212i
\(532\) 2.95612 + 5.12015i 0.128164 + 0.221987i
\(533\) 4.13281 7.15824i 0.179012 0.310058i
\(534\) 15.6819 + 1.56324i 0.678624 + 0.0676479i
\(535\) 4.38610 + 3.18669i 0.189628 + 0.137773i
\(536\) 2.85009 + 0.299557i 0.123105 + 0.0129389i
\(537\) 20.2031 14.8446i 0.871827 0.640593i
\(538\) −10.6645 + 23.9528i −0.459779 + 1.03268i
\(539\) −22.2548 4.73040i −0.958581 0.203753i
\(540\) 2.03681 4.78032i 0.0876502 0.205712i
\(541\) 24.0868 10.7242i 1.03557 0.461067i 0.182692 0.983170i \(-0.441519\pi\)
0.852883 + 0.522103i \(0.174852\pi\)
\(542\) 3.16451 9.73936i 0.135927 0.418341i
\(543\) 10.9913 + 6.26747i 0.471682 + 0.268963i
\(544\) −2.14765 4.82371i −0.0920798 0.206815i
\(545\) 2.93027 + 13.7859i 0.125519 + 0.590521i
\(546\) 5.65376 + 2.48096i 0.241958 + 0.106175i
\(547\) −13.9964 6.23162i −0.598444 0.266445i 0.0850778 0.996374i \(-0.472886\pi\)
−0.683522 + 0.729930i \(0.739553\pi\)
\(548\) −10.5913 + 11.7629i −0.452439 + 0.502485i
\(549\) −4.95857 2.79234i −0.211626 0.119174i
\(550\) 2.75399 3.79054i 0.117430 0.161629i
\(551\) 1.42007 + 13.5110i 0.0604968 + 0.575589i
\(552\) 1.27933 + 1.13955i 0.0544521 + 0.0485025i
\(553\) −34.5874 + 19.9691i −1.47081 + 0.849171i
\(554\) −4.37487 + 3.17853i −0.185871 + 0.135043i
\(555\) 2.39340 + 4.09461i 0.101594 + 0.173806i
\(556\) −15.2529 + 4.95597i −0.646867 + 0.210180i
\(557\) 12.8110 0.542818 0.271409 0.962464i \(-0.412510\pi\)
0.271409 + 0.962464i \(0.412510\pi\)
\(558\) 9.72288 13.5818i 0.411603 0.574964i
\(559\) 0.344257 0.0145605
\(560\) 3.27472 1.06402i 0.138382 0.0449632i
\(561\) −21.6239 36.9940i −0.912963 1.56189i
\(562\) 3.30369 2.40027i 0.139358 0.101249i
\(563\) 17.6058 10.1647i 0.741995 0.428391i −0.0807995 0.996730i \(-0.525747\pi\)
0.822794 + 0.568340i \(0.192414\pi\)
\(564\) 7.33087 + 6.52988i 0.308685 + 0.274958i
\(565\) −2.03633 19.3744i −0.0856692 0.815088i
\(566\) 5.83142 8.02626i 0.245113 0.337369i
\(567\) 24.6743 18.7487i 1.03622 0.787372i
\(568\) 7.07032 7.85238i 0.296664 0.329479i
\(569\) 37.3367 + 16.6234i 1.56523 + 0.696887i 0.992431 0.122806i \(-0.0391891\pi\)
0.572803 + 0.819693i \(0.305856\pi\)
\(570\) −2.72336 1.19505i −0.114069 0.0500553i
\(571\) 5.33557 + 25.1019i 0.223287 + 1.05048i 0.936807 + 0.349847i \(0.113766\pi\)
−0.713520 + 0.700635i \(0.752900\pi\)
\(572\) 1.97290 + 4.43120i 0.0824910 + 0.185278i
\(573\) 32.6370 + 18.6103i 1.36343 + 0.777456i
\(574\) 8.49529 26.1458i 0.354586 1.09131i
\(575\) −0.903636 + 0.402325i −0.0376842 + 0.0167781i
\(576\) 2.94097 + 0.592219i 0.122540 + 0.0246758i
\(577\) −22.7188 4.82902i −0.945795 0.201035i −0.290899 0.956754i \(-0.593954\pi\)
−0.654896 + 0.755719i \(0.727288\pi\)
\(578\) 4.42552 9.93987i 0.184077 0.413444i
\(579\) −6.09602 + 4.47917i −0.253342 + 0.186148i
\(580\) 7.86872 + 0.827036i 0.326731 + 0.0343408i
\(581\) −18.4845 13.4298i −0.766867 0.557161i
\(582\) −9.96637 0.993486i −0.413119 0.0411813i
\(583\) 27.3953 47.4500i 1.13460 1.96518i
\(584\) −2.30296 3.98884i −0.0952971 0.165059i
\(585\) −3.03080 + 0.678279i −0.125308 + 0.0280434i
\(586\) 18.1642 + 20.1733i 0.750355 + 0.833353i
\(587\) −10.9395 33.6682i −0.451520 1.38963i −0.875173 0.483810i \(-0.839252\pi\)
0.423653 0.905824i \(-0.360748\pi\)
\(588\) 8.23625 + 1.70454i 0.339657 + 0.0702942i
\(589\) −7.71342 5.64798i −0.317826 0.232721i
\(590\) 3.55943i 0.146539i
\(591\) 2.73953 + 24.7853i 0.112689 + 1.01953i
\(592\) −2.03492 + 1.83225i −0.0836348 + 0.0753051i
\(593\) −0.441382 0.607510i −0.0181254 0.0249475i 0.799858 0.600189i \(-0.204908\pi\)
−0.817984 + 0.575242i \(0.804908\pi\)
\(594\) 24.2503 + 2.15489i 0.995002 + 0.0884162i
\(595\) 15.7453 + 9.09053i 0.645493 + 0.372675i
\(596\) −23.4979 + 2.46972i −0.962509 + 0.101164i
\(597\) 17.5403 15.9646i 0.717877 0.653386i
\(598\) 0.107040 1.01842i 0.00437719 0.0416462i
\(599\) 5.23864 + 4.71689i 0.214045 + 0.192727i 0.769178 0.639035i \(-0.220666\pi\)
−0.555133 + 0.831762i \(0.687333\pi\)
\(600\) −1.01054 + 1.40670i −0.0412552 + 0.0574283i
\(601\) 8.32833 39.1817i 0.339720 1.59826i −0.394203 0.919023i \(-0.628979\pi\)
0.733923 0.679233i \(-0.237687\pi\)
\(602\) 1.11997 0.238058i 0.0456467 0.00970251i
\(603\) −8.59688 + 0.0922322i −0.350092 + 0.00375599i
\(604\) 17.3028 + 5.62203i 0.704042 + 0.228757i
\(605\) 10.4166 + 3.38454i 0.423493 + 0.137601i
\(606\) −9.89638 + 2.15909i −0.402013 + 0.0877070i
\(607\) 4.71858 1.00297i 0.191521 0.0407091i −0.111152 0.993803i \(-0.535454\pi\)
0.302674 + 0.953094i \(0.402121\pi\)
\(608\) 0.356996 1.67953i 0.0144781 0.0681140i
\(609\) 38.3230 + 27.5304i 1.55293 + 1.11559i
\(610\) 1.40968 + 1.26928i 0.0570763 + 0.0513918i
\(611\) 0.613363 5.83576i 0.0248140 0.236090i
\(612\) 8.06702 + 13.6326i 0.326090 + 0.551066i
\(613\) 36.3747 3.82314i 1.46916 0.154415i 0.664116 0.747629i \(-0.268808\pi\)
0.805045 + 0.593214i \(0.202141\pi\)
\(614\) 9.96062 + 5.75077i 0.401978 + 0.232082i
\(615\) 4.34386 + 13.1290i 0.175161 + 0.529411i
\(616\) 9.48266 + 13.0518i 0.382067 + 0.525871i
\(617\) 33.9746 30.5909i 1.36777 1.23154i 0.422040 0.906577i \(-0.361314\pi\)
0.945726 0.324964i \(-0.105352\pi\)
\(618\) 20.3292 2.24700i 0.817760 0.0903876i
\(619\) 40.7171i 1.63656i −0.574820 0.818280i \(-0.694928\pi\)
0.574820 0.818280i \(-0.305072\pi\)
\(620\) −4.15145 + 3.71018i −0.166726 + 0.149004i
\(621\) −4.20625 2.95379i −0.168791 0.118532i
\(622\) −6.81898 20.9867i −0.273416 0.841489i
\(623\) −20.9636 23.2824i −0.839889 0.932791i
\(624\) −0.738103 1.63416i −0.0295478 0.0654187i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 2.16219 3.74503i 0.0864186 0.149681i
\(627\) 1.38218 13.8657i 0.0551991 0.553741i
\(628\) −19.7988 14.3847i −0.790059 0.574011i
\(629\) −14.3794 1.51133i −0.573343 0.0602607i
\(630\) −9.39108 + 4.30248i −0.374149 + 0.171415i
\(631\) −14.6255 + 32.8494i −0.582232 + 1.30772i 0.346877 + 0.937911i \(0.387242\pi\)
−0.929109 + 0.369805i \(0.879425\pi\)
\(632\) 11.3455 + 2.41156i 0.451300 + 0.0959267i
\(633\) 36.9172 0.198029i 1.46733 0.00787094i
\(634\) −17.1696 + 7.64438i −0.681890 + 0.303597i
\(635\) 1.22565 3.77215i 0.0486383 0.149693i
\(636\) −10.0331 + 17.5950i −0.397836 + 0.697689i
\(637\) −2.04474 4.59255i −0.0810154 0.181963i
\(638\) 7.70747 + 36.2608i 0.305142 + 1.43558i
\(639\) −18.3562 + 25.8437i −0.726159 + 1.02236i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) 18.1752 20.1856i 0.717876 0.797282i −0.268238 0.963353i \(-0.586441\pi\)
0.986114 + 0.166071i \(0.0531080\pi\)
\(642\) 2.85383 8.94619i 0.112632 0.353078i
\(643\) −10.8641 + 14.9531i −0.428437 + 0.589692i −0.967594 0.252513i \(-0.918743\pi\)
0.539157 + 0.842205i \(0.318743\pi\)
\(644\) −0.356014 3.38724i −0.0140289 0.133476i
\(645\) −0.383094 + 0.430086i −0.0150843 + 0.0169346i
\(646\) 7.85173 4.53320i 0.308922 0.178356i
\(647\) 29.9293 21.7449i 1.17664 0.854881i 0.184854 0.982766i \(-0.440819\pi\)
0.991789 + 0.127885i \(0.0408189\pi\)
\(648\) −8.96882 0.748505i −0.352329 0.0294041i
\(649\) 15.8610 5.15354i 0.622597 0.202294i
\(650\) 1.03526 0.0406061
\(651\) −32.4684 + 6.95749i −1.27254 + 0.272686i
\(652\) −2.01158 −0.0787794
\(653\) −15.3928 + 5.00144i −0.602368 + 0.195721i −0.594296 0.804246i \(-0.702569\pi\)
−0.00807185 + 0.999967i \(0.502569\pi\)
\(654\) 21.0750 12.3188i 0.824097 0.481705i
\(655\) 14.6627 10.6531i 0.572920 0.416250i
\(656\) −6.91445 + 3.99206i −0.269964 + 0.155864i
\(657\) 8.24133 + 11.0910i 0.321525 + 0.432702i
\(658\) −2.04004 19.4097i −0.0795289 0.756667i
\(659\) −28.7727 + 39.6023i −1.12083 + 1.54269i −0.316408 + 0.948623i \(0.602477\pi\)
−0.804419 + 0.594063i \(0.797523\pi\)
\(660\) −7.73144 2.46632i −0.300946 0.0960016i
\(661\) 18.8464 20.9311i 0.733042 0.814125i −0.255222 0.966882i \(-0.582149\pi\)
0.988264 + 0.152757i \(0.0488152\pi\)
\(662\) −23.9850 10.6788i −0.932202 0.415043i
\(663\) 3.80454 8.67001i 0.147756 0.336715i
\(664\) 1.37962 + 6.49062i 0.0535398 + 0.251885i
\(665\) 2.40473 + 5.40110i 0.0932513 + 0.209446i
\(666\) 5.43095 6.16339i 0.210445 0.238826i
\(667\) 2.41844 7.44320i 0.0936425 0.288202i
\(668\) −9.28210 + 4.13266i −0.359135 + 0.159897i
\(669\) −0.128248 23.9084i −0.00495835 0.924353i
\(670\) 2.80317 + 0.595831i 0.108296 + 0.0230190i
\(671\) −3.61496 + 8.11934i −0.139554 + 0.313444i
\(672\) −3.53131 4.80601i −0.136223 0.185396i
\(673\) 13.3377 + 1.40184i 0.514129 + 0.0540371i 0.358041 0.933706i \(-0.383445\pi\)
0.156088 + 0.987743i \(0.450112\pi\)
\(674\) 3.82292 + 2.77751i 0.147253 + 0.106986i
\(675\) 2.52533 4.54122i 0.0971999 0.174792i
\(676\) 5.96412 10.3302i 0.229389 0.397314i
\(677\) −0.542697 0.939979i −0.0208576 0.0361263i 0.855408 0.517954i \(-0.173306\pi\)
−0.876266 + 0.481828i \(0.839973\pi\)
\(678\) −30.7511 + 13.8894i −1.18099 + 0.533419i
\(679\) 13.3230 + 14.7967i 0.511291 + 0.567846i
\(680\) −1.63167 5.02177i −0.0625718 0.192576i
\(681\) −4.00339 + 19.3441i −0.153410 + 0.741268i
\(682\) −22.5434 13.1272i −0.863233 0.502668i
\(683\) 10.7091i 0.409773i 0.978786 + 0.204887i \(0.0656825\pi\)
−0.978786 + 0.204887i \(0.934317\pi\)
\(684\) −0.483453 + 5.12842i −0.0184853 + 0.196090i
\(685\) −11.7629 + 10.5913i −0.449436 + 0.404674i
\(686\) 4.33929 + 5.97252i 0.165675 + 0.228032i
\(687\) −11.3778 + 3.76448i −0.434092 + 0.143624i
\(688\) −0.287982 0.166267i −0.0109792 0.00633885i
\(689\) 12.0400 1.26545i 0.458686 0.0482098i
\(690\) 1.15321 + 1.26704i 0.0439020 + 0.0482352i
\(691\) 5.26306 50.0746i 0.200216 1.90493i −0.186047 0.982541i \(-0.559568\pi\)
0.386263 0.922389i \(-0.373766\pi\)
\(692\) −13.5434 12.1945i −0.514842 0.463566i
\(693\) −32.7690 35.6177i −1.24479 1.35300i
\(694\) 2.81809 13.2581i 0.106973 0.503270i
\(695\) −15.6874 + 3.33446i −0.595056 + 0.126483i
\(696\) −2.92110 13.3892i −0.110724 0.507515i
\(697\) −40.0945 13.0275i −1.51869 0.493451i
\(698\) −11.1535 3.62398i −0.422165 0.137170i
\(699\) 3.17533 + 14.5544i 0.120102 + 0.550498i
\(700\) 3.36801 0.715892i 0.127299 0.0270582i
\(701\) 3.97108 18.6825i 0.149986 0.705627i −0.837309 0.546729i \(-0.815873\pi\)
0.987295 0.158898i \(-0.0507940\pi\)
\(702\) 2.76429 + 4.61477i 0.104332 + 0.174173i
\(703\) −3.49407 3.14608i −0.131781 0.118657i
\(704\) 0.489754 4.65969i 0.0184583 0.175619i
\(705\) 6.60815 + 7.26039i 0.248877 + 0.273442i
\(706\) 11.8079 1.24106i 0.444395 0.0467078i
\(707\) 17.4386 + 10.0682i 0.655847 + 0.378653i
\(708\) −5.85306 + 1.93655i −0.219971 + 0.0727799i
\(709\) 2.39721 + 3.29947i 0.0900290 + 0.123914i 0.851656 0.524102i \(-0.175599\pi\)
−0.761627 + 0.648016i \(0.775599\pi\)
\(710\) 7.85238 7.07032i 0.294695 0.265344i
\(711\) −34.6433 3.26580i −1.29923 0.122477i
\(712\) 9.09885i 0.340994i
\(713\) 2.73597 + 4.77971i 0.102463 + 0.179002i
\(714\) 6.38193 30.8370i 0.238838 1.15405i
\(715\) 1.49890 + 4.61315i 0.0560558 + 0.172522i
\(716\) 9.68528 + 10.7566i 0.361956 + 0.401993i
\(717\) −11.0620 + 4.99638i −0.413117 + 0.186593i
\(718\) −16.2848 28.2062i −0.607745 1.05264i
\(719\) −9.89179 + 17.1331i −0.368902 + 0.638956i −0.989394 0.145256i \(-0.953599\pi\)
0.620493 + 0.784212i \(0.286933\pi\)
\(720\) 2.86295 + 0.896389i 0.106696 + 0.0334064i
\(721\) −32.8944 23.8992i −1.22505 0.890053i
\(722\) −15.9638 1.67786i −0.594111 0.0624436i
\(723\) −17.6662 24.0432i −0.657013 0.894175i
\(724\) −2.97122 + 6.67347i −0.110425 + 0.248018i
\(725\) 7.73917 + 1.64501i 0.287425 + 0.0610942i
\(726\) −0.101759 18.9702i −0.00377662 0.704051i
\(727\) −36.5797 + 16.2863i −1.35667 + 0.604027i −0.950772 0.309893i \(-0.899707\pi\)
−0.405895 + 0.913920i \(0.633040\pi\)
\(728\) −1.10154 + 3.39018i −0.0408257 + 0.125649i
\(729\) 26.9860 0.868831i 0.999482 0.0321789i
\(730\) −1.87339 4.20771i −0.0693374 0.155734i
\(731\) −0.365060 1.71747i −0.0135022 0.0635230i
\(732\) 1.32023 3.00862i 0.0487973 0.111202i
\(733\) 2.03775 + 0.907266i 0.0752661 + 0.0335106i 0.444024 0.896015i \(-0.353550\pi\)
−0.368758 + 0.929525i \(0.620217\pi\)
\(734\) −6.90190 + 7.66533i −0.254754 + 0.282933i
\(735\) 8.01295 + 2.55613i 0.295562 + 0.0942842i
\(736\) −0.581410 + 0.800242i −0.0214310 + 0.0294973i
\(737\) 1.40353 + 13.3537i 0.0516997 + 0.491890i
\(738\) 19.2257 14.2859i 0.707709 0.525872i
\(739\) 26.9167 15.5404i 0.990146 0.571661i 0.0848284 0.996396i \(-0.472966\pi\)
0.905318 + 0.424734i \(0.139632\pi\)
\(740\) −2.21530 + 1.60951i −0.0814360 + 0.0591667i
\(741\) 2.65809 1.55372i 0.0976474 0.0570773i
\(742\) 38.2946 12.4427i 1.40584 0.456785i
\(743\) 48.2816 1.77128 0.885639 0.464374i \(-0.153721\pi\)
0.885639 + 0.464374i \(0.153721\pi\)
\(744\) 8.35961 + 4.80801i 0.306478 + 0.176270i
\(745\) −23.6273 −0.865637
\(746\) 21.1457 6.87066i 0.774200 0.251553i
\(747\) −6.35432 18.8655i −0.232492 0.690252i
\(748\) 20.0148 14.5416i 0.731814 0.531694i
\(749\) −16.1667 + 9.33383i −0.590717 + 0.341051i
\(750\) −1.15205 + 1.29336i −0.0420668 + 0.0472269i
\(751\) 5.30266 + 50.4515i 0.193497 + 1.84100i 0.473250 + 0.880928i \(0.343081\pi\)
−0.279753 + 0.960072i \(0.590253\pi\)
\(752\) −3.33161 + 4.58556i −0.121491 + 0.167218i
\(753\) −5.49599 + 17.2288i −0.200285 + 0.627854i
\(754\) −5.48086 + 6.08712i −0.199601 + 0.221680i
\(755\) 16.6204 + 7.39987i 0.604878 + 0.269309i
\(756\) 12.1843 + 13.1017i 0.443137 + 0.476505i
\(757\) 10.2228 + 48.0943i 0.371553 + 1.74802i 0.624959 + 0.780658i \(0.285116\pi\)
−0.253406 + 0.967360i \(0.581551\pi\)
\(758\) −3.64230 8.18074i −0.132294 0.297138i
\(759\) −3.97628 + 6.97324i −0.144330 + 0.253113i
\(760\) 0.530599 1.63302i 0.0192468 0.0592357i
\(761\) −35.5096 + 15.8099i −1.28722 + 0.573108i −0.932265 0.361775i \(-0.882171\pi\)
−0.354956 + 0.934883i \(0.615504\pi\)
\(762\) −6.86969 + 0.0368499i −0.248863 + 0.00133493i
\(763\) −47.4681 10.0897i −1.71846 0.365270i
\(764\) −8.82258 + 19.8158i −0.319190 + 0.716912i
\(765\) 6.59783 + 14.4012i 0.238545 + 0.520675i
\(766\) 3.28725 + 0.345504i 0.118773 + 0.0124835i
\(767\) 2.98116 + 2.16594i 0.107644 + 0.0782076i
\(768\) −0.171806 + 1.72351i −0.00619952 + 0.0621918i
\(769\) 4.97345 8.61426i 0.179347 0.310638i −0.762310 0.647212i \(-0.775935\pi\)
0.941657 + 0.336574i \(0.109268\pi\)
\(770\) 8.06643 + 13.9715i 0.290694 + 0.503497i
\(771\) 9.22155 + 20.4165i 0.332106 + 0.735282i
\(772\) −2.92241 3.24566i −0.105180 0.116814i
\(773\) −5.60124 17.2389i −0.201463 0.620039i −0.999840 0.0178811i \(-0.994308\pi\