Properties

Label 930.2.br.a.11.14
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 11.14
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.43042 - 0.976675i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.66222 - 0.486849i) q^{6} +(0.122441 + 1.16495i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.09221 + 2.79411i) q^{9} +O(q^{10})\) \(q+(0.951057 - 0.309017i) q^{2} +(-1.43042 - 0.976675i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-1.66222 - 0.486849i) q^{6} +(0.122441 + 1.16495i) q^{7} +(0.587785 - 0.809017i) q^{8} +(1.09221 + 2.79411i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(-0.519826 - 0.231441i) q^{11} +(-1.73131 + 0.0506337i) q^{12} +(0.447115 + 2.10351i) q^{13} +(0.476438 + 1.07010i) q^{14} +(1.72712 + 0.130615i) q^{15} +(0.309017 - 0.951057i) q^{16} +(5.00147 - 2.22680i) q^{17} +(1.90218 + 2.31985i) q^{18} +(3.58590 + 0.762207i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.962635 - 1.78595i) q^{21} +(-0.565903 - 0.0594788i) q^{22} +(5.52033 + 4.01076i) q^{23} +(-1.63093 + 0.583160i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.07525 + 1.86239i) q^{26} +(1.16662 - 5.06350i) q^{27} +(0.783797 + 0.870495i) q^{28} +(-3.19081 - 9.82031i) q^{29} +(1.68295 - 0.409487i) q^{30} +(4.19859 + 3.65676i) q^{31} -1.00000i q^{32} +(0.517527 + 0.838760i) q^{33} +(4.06856 - 3.66335i) q^{34} +(-0.688512 - 0.947655i) q^{35} +(2.52596 + 1.61850i) q^{36} +(-1.33670 - 0.771745i) q^{37} +(3.64593 - 0.383203i) q^{38} +(1.41488 - 3.44559i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-1.22627 - 1.10414i) q^{41} +(0.363630 - 1.99601i) q^{42} +(-1.07851 + 5.07399i) q^{43} +(-0.556586 + 0.118306i) q^{44} +(-2.34294 - 1.87367i) q^{45} +(6.48954 + 2.10858i) q^{46} +(-0.408277 - 0.132657i) q^{47} +(-1.37090 + 1.05860i) q^{48} +(5.50492 - 1.17011i) q^{49} +(0.207912 - 0.978148i) q^{50} +(-9.32907 - 1.69955i) q^{51} +(1.59814 + 1.43897i) q^{52} +(-0.499825 + 4.75551i) q^{53} +(-0.455184 - 5.17618i) q^{54} +(0.565903 - 0.0594788i) q^{55} +(1.01443 + 0.585683i) q^{56} +(-4.38492 - 4.59254i) q^{57} +(-6.06929 - 8.35366i) q^{58} +(2.81688 - 2.53633i) q^{59} +(1.47404 - 0.909505i) q^{60} -5.66315i q^{61} +(5.12309 + 2.18035i) q^{62} +(-3.12127 + 1.61448i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-1.43897 - 1.59814i) q^{65} +(0.751389 + 0.637784i) q^{66} +(6.10033 + 10.5661i) q^{67} +(2.73740 - 4.74131i) q^{68} +(-3.97919 - 11.1286i) q^{69} +(-0.947655 - 0.688512i) q^{70} +(10.1259 + 1.06427i) q^{71} +(2.90247 + 0.758722i) q^{72} +(1.02323 - 2.29822i) q^{73} +(-1.50976 - 0.320909i) q^{74} +(-1.56104 + 0.750444i) q^{75} +(3.34907 - 1.49110i) q^{76} +(0.205970 - 0.633909i) q^{77} +(0.280888 - 3.71417i) q^{78} +(0.346214 + 0.777609i) q^{79} +(0.207912 + 0.978148i) q^{80} +(-6.61415 + 6.10352i) q^{81} +(-1.50745 - 0.671159i) q^{82} +(2.23296 - 2.47995i) q^{83} +(-0.270969 - 2.01069i) q^{84} +(-3.21800 + 4.42920i) q^{85} +(0.542226 + 5.15893i) q^{86} +(-5.02705 + 17.1636i) q^{87} +(-0.492786 + 0.284510i) q^{88} +(10.6012 - 7.70220i) q^{89} +(-2.80726 - 1.05796i) q^{90} +(-2.39574 + 0.778422i) q^{91} +6.82351 q^{92} +(-2.43428 - 9.33136i) q^{93} -0.429288 q^{94} +(-3.48659 + 1.13286i) q^{95} +(-0.976675 + 1.43042i) q^{96} +(0.672915 - 0.488901i) q^{97} +(4.87391 - 2.81395i) q^{98} +(0.0789143 - 1.70524i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

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
\(3\) −1.43042 0.976675i −0.825854 0.563884i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −1.66222 0.486849i −0.678599 0.198755i
\(7\) 0.122441 + 1.16495i 0.0462784 + 0.440310i 0.992987 + 0.118220i \(0.0377187\pi\)
−0.946709 + 0.322090i \(0.895615\pi\)
\(8\) 0.587785 0.809017i 0.207813 0.286031i
\(9\) 1.09221 + 2.79411i 0.364070 + 0.931371i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) −0.519826 0.231441i −0.156733 0.0697822i 0.326871 0.945069i \(-0.394006\pi\)
−0.483604 + 0.875287i \(0.660673\pi\)
\(12\) −1.73131 + 0.0506337i −0.499786 + 0.0146167i
\(13\) 0.447115 + 2.10351i 0.124007 + 0.583409i 0.995642 + 0.0932532i \(0.0297266\pi\)
−0.871635 + 0.490155i \(0.836940\pi\)
\(14\) 0.476438 + 1.07010i 0.127333 + 0.285995i
\(15\) 1.72712 + 0.130615i 0.445940 + 0.0337246i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 5.00147 2.22680i 1.21304 0.540078i 0.302357 0.953195i \(-0.402226\pi\)
0.910678 + 0.413117i \(0.135560\pi\)
\(18\) 1.90218 + 2.31985i 0.448349 + 0.546794i
\(19\) 3.58590 + 0.762207i 0.822663 + 0.174862i 0.599966 0.800025i \(-0.295181\pi\)
0.222697 + 0.974888i \(0.428514\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 0.962635 1.78595i 0.210064 0.389727i
\(22\) −0.565903 0.0594788i −0.120651 0.0126809i
\(23\) 5.52033 + 4.01076i 1.15107 + 0.836300i 0.988623 0.150417i \(-0.0480616\pi\)
0.162446 + 0.986717i \(0.448062\pi\)
\(24\) −1.63093 + 0.583160i −0.332912 + 0.119037i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.07525 + 1.86239i 0.210874 + 0.365245i
\(27\) 1.16662 5.06350i 0.224516 0.974470i
\(28\) 0.783797 + 0.870495i 0.148124 + 0.164508i
\(29\) −3.19081 9.82031i −0.592519 1.82359i −0.566707 0.823919i \(-0.691783\pi\)
−0.0258119 0.999667i \(-0.508217\pi\)
\(30\) 1.68295 0.409487i 0.307263 0.0747617i
\(31\) 4.19859 + 3.65676i 0.754088 + 0.656773i
\(32\) 1.00000i 0.176777i
\(33\) 0.517527 + 0.838760i 0.0900899 + 0.146009i
\(34\) 4.06856 3.66335i 0.697753 0.628260i
\(35\) −0.688512 0.947655i −0.116380 0.160183i
\(36\) 2.52596 + 1.61850i 0.420993 + 0.269750i
\(37\) −1.33670 0.771745i −0.219752 0.126874i 0.386083 0.922464i \(-0.373828\pi\)
−0.605836 + 0.795590i \(0.707161\pi\)
\(38\) 3.64593 0.383203i 0.591448 0.0621637i
\(39\) 1.41488 3.44559i 0.226563 0.551736i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −1.22627 1.10414i −0.191511 0.172437i 0.567797 0.823169i \(-0.307796\pi\)
−0.759308 + 0.650731i \(0.774462\pi\)
\(42\) 0.363630 1.99601i 0.0561093 0.307992i
\(43\) −1.07851 + 5.07399i −0.164471 + 0.773777i 0.816146 + 0.577845i \(0.196106\pi\)
−0.980618 + 0.195931i \(0.937227\pi\)
\(44\) −0.556586 + 0.118306i −0.0839085 + 0.0178353i
\(45\) −2.34294 1.87367i −0.349265 0.279310i
\(46\) 6.48954 + 2.10858i 0.956830 + 0.310893i
\(47\) −0.408277 0.132657i −0.0595533 0.0193500i 0.279089 0.960265i \(-0.409968\pi\)
−0.338642 + 0.940915i \(0.609968\pi\)
\(48\) −1.37090 + 1.05860i −0.197872 + 0.152796i
\(49\) 5.50492 1.17011i 0.786417 0.167158i
\(50\) 0.207912 0.978148i 0.0294032 0.138331i
\(51\) −9.32907 1.69955i −1.30633 0.237985i
\(52\) 1.59814 + 1.43897i 0.221621 + 0.199549i
\(53\) −0.499825 + 4.75551i −0.0686562 + 0.653220i 0.905033 + 0.425341i \(0.139846\pi\)
−0.973689 + 0.227879i \(0.926821\pi\)
\(54\) −0.455184 5.17618i −0.0619427 0.704388i
\(55\) 0.565903 0.0594788i 0.0763064 0.00802012i
\(56\) 1.01443 + 0.585683i 0.135559 + 0.0782652i
\(57\) −4.38492 4.59254i −0.580797 0.608297i
\(58\) −6.06929 8.35366i −0.796936 1.09689i
\(59\) 2.81688 2.53633i 0.366727 0.330202i −0.465079 0.885269i \(-0.653974\pi\)
0.831806 + 0.555067i \(0.187307\pi\)
\(60\) 1.47404 0.909505i 0.190298 0.117417i
\(61\) 5.66315i 0.725092i −0.931966 0.362546i \(-0.881908\pi\)
0.931966 0.362546i \(-0.118092\pi\)
\(62\) 5.12309 + 2.18035i 0.650633 + 0.276904i
\(63\) −3.12127 + 1.61448i −0.393243 + 0.203406i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −1.43897 1.59814i −0.178482 0.198224i
\(66\) 0.751389 + 0.637784i 0.0924896 + 0.0785057i
\(67\) 6.10033 + 10.5661i 0.745274 + 1.29085i 0.950067 + 0.312047i \(0.101015\pi\)
−0.204792 + 0.978805i \(0.565652\pi\)
\(68\) 2.73740 4.74131i 0.331958 0.574968i
\(69\) −3.97919 11.1286i −0.479039 1.33973i
\(70\) −0.947655 0.688512i −0.113266 0.0822929i
\(71\) 10.1259 + 1.06427i 1.20172 + 0.126306i 0.684155 0.729336i \(-0.260171\pi\)
0.517567 + 0.855643i \(0.326838\pi\)
\(72\) 2.90247 + 0.758722i 0.342060 + 0.0894163i
\(73\) 1.02323 2.29822i 0.119760 0.268986i −0.843711 0.536798i \(-0.819634\pi\)
0.963471 + 0.267812i \(0.0863005\pi\)
\(74\) −1.50976 0.320909i −0.175506 0.0373050i
\(75\) −1.56104 + 0.750444i −0.180253 + 0.0866538i
\(76\) 3.34907 1.49110i 0.384165 0.171041i
\(77\) 0.205970 0.633909i 0.0234724 0.0722406i
\(78\) 0.280888 3.71417i 0.0318043 0.420547i
\(79\) 0.346214 + 0.777609i 0.0389521 + 0.0874878i 0.931974 0.362526i \(-0.118086\pi\)
−0.893022 + 0.450014i \(0.851419\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) −6.61415 + 6.10352i −0.734906 + 0.678169i
\(82\) −1.50745 0.671159i −0.166470 0.0741171i
\(83\) 2.23296 2.47995i 0.245099 0.272210i −0.608025 0.793918i \(-0.708038\pi\)
0.853125 + 0.521707i \(0.174705\pi\)
\(84\) −0.270969 2.01069i −0.0295652 0.219384i
\(85\) −3.21800 + 4.42920i −0.349041 + 0.480414i
\(86\) 0.542226 + 5.15893i 0.0584697 + 0.556302i
\(87\) −5.02705 + 17.1636i −0.538956 + 1.84013i
\(88\) −0.492786 + 0.284510i −0.0525312 + 0.0303289i
\(89\) 10.6012 7.70220i 1.12372 0.816431i 0.138952 0.990299i \(-0.455626\pi\)
0.984769 + 0.173868i \(0.0556265\pi\)
\(90\) −2.80726 1.05796i −0.295912 0.111518i
\(91\) −2.39574 + 0.778422i −0.251141 + 0.0816008i
\(92\) 6.82351 0.711400
\(93\) −2.43428 9.33136i −0.252423 0.967617i
\(94\) −0.429288 −0.0442776
\(95\) −3.48659 + 1.13286i −0.357716 + 0.116229i
\(96\) −0.976675 + 1.43042i −0.0996815 + 0.145992i
\(97\) 0.672915 0.488901i 0.0683242 0.0496404i −0.553099 0.833116i \(-0.686555\pi\)
0.621423 + 0.783475i \(0.286555\pi\)
\(98\) 4.87391 2.81395i 0.492339 0.284252i
\(99\) 0.0789143 1.70524i 0.00793119 0.171383i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −9.35065 + 12.8701i −0.930424 + 1.28062i 0.0292699 + 0.999572i \(0.490682\pi\)
−0.959694 + 0.281047i \(0.909318\pi\)
\(102\) −9.39767 + 1.26647i −0.930508 + 0.125399i
\(103\) −2.88696 + 3.20629i −0.284460 + 0.315925i −0.868393 0.495877i \(-0.834847\pi\)
0.583932 + 0.811802i \(0.301513\pi\)
\(104\) 1.96458 + 0.874688i 0.192643 + 0.0857703i
\(105\) 0.0593106 + 2.02800i 0.00578812 + 0.197912i
\(106\) 0.994173 + 4.67722i 0.0965626 + 0.454291i
\(107\) −1.88572 4.23539i −0.182299 0.409450i 0.799161 0.601117i \(-0.205277\pi\)
−0.981460 + 0.191667i \(0.938611\pi\)
\(108\) −2.03243 4.78218i −0.195571 0.460165i
\(109\) 0.311319 0.958142i 0.0298190 0.0917734i −0.935039 0.354544i \(-0.884636\pi\)
0.964858 + 0.262770i \(0.0846362\pi\)
\(110\) 0.519826 0.231441i 0.0495635 0.0220671i
\(111\) 1.15830 + 2.40944i 0.109941 + 0.228694i
\(112\) 1.14577 + 0.243541i 0.108265 + 0.0230124i
\(113\) −6.93779 + 15.5825i −0.652653 + 1.46588i 0.218983 + 0.975729i \(0.429726\pi\)
−0.871636 + 0.490154i \(0.836941\pi\)
\(114\) −5.58948 3.01275i −0.523503 0.282170i
\(115\) −6.78613 0.713251i −0.632809 0.0665110i
\(116\) −8.35366 6.06929i −0.775618 0.563519i
\(117\) −5.38910 + 3.54677i −0.498223 + 0.327899i
\(118\) 1.89524 3.28266i 0.174471 0.302193i
\(119\) 3.20649 + 5.55381i 0.293939 + 0.509117i
\(120\) 1.12084 1.32050i 0.102319 0.120544i
\(121\) −7.14378 7.93397i −0.649435 0.721270i
\(122\) −1.75001 5.38598i −0.158438 0.487623i
\(123\) 0.675698 + 2.77705i 0.0609256 + 0.250398i
\(124\) 5.54612 + 0.490512i 0.498056 + 0.0440492i
\(125\) 1.00000i 0.0894427i
\(126\) −2.46960 + 2.49999i −0.220010 + 0.222717i
\(127\) −11.2462 + 10.1261i −0.997937 + 0.898547i −0.994841 0.101449i \(-0.967652\pi\)
−0.00309626 + 0.999995i \(0.500986\pi\)
\(128\) −0.587785 0.809017i −0.0519534 0.0715077i
\(129\) 6.49837 6.20459i 0.572149 0.546284i
\(130\) −1.86239 1.07525i −0.163342 0.0943058i
\(131\) −12.4646 + 1.31008i −1.08904 + 0.114463i −0.631988 0.774978i \(-0.717761\pi\)
−0.457051 + 0.889441i \(0.651094\pi\)
\(132\) 0.911699 + 0.374376i 0.0793532 + 0.0325853i
\(133\) −0.448871 + 4.27072i −0.0389221 + 0.370319i
\(134\) 9.06686 + 8.16384i 0.783257 + 0.705248i
\(135\) 1.52142 + 4.96843i 0.130943 + 0.427614i
\(136\) 1.13827 5.35516i 0.0976062 0.459201i
\(137\) 4.64789 0.987941i 0.397096 0.0844055i −0.00503517 0.999987i \(-0.501603\pi\)
0.402132 + 0.915582i \(0.368269\pi\)
\(138\) −7.22338 9.35433i −0.614895 0.796293i
\(139\) 4.27398 + 1.38870i 0.362514 + 0.117788i 0.484610 0.874730i \(-0.338961\pi\)
−0.122096 + 0.992518i \(0.538961\pi\)
\(140\) −1.11404 0.361972i −0.0941532 0.0305922i
\(141\) 0.454445 + 0.588510i 0.0382712 + 0.0495614i
\(142\) 9.95918 2.11689i 0.835756 0.177645i
\(143\) 0.254417 1.19694i 0.0212755 0.100093i
\(144\) 2.99487 0.175325i 0.249573 0.0146104i
\(145\) 7.67348 + 6.90923i 0.637248 + 0.573781i
\(146\) 0.262964 2.50193i 0.0217630 0.207061i
\(147\) −9.01717 3.70277i −0.743723 0.305399i
\(148\) −1.53503 + 0.161339i −0.126179 + 0.0132619i
\(149\) −15.4834 8.93935i −1.26845 0.732340i −0.293756 0.955880i \(-0.594905\pi\)
−0.974695 + 0.223540i \(0.928239\pi\)
\(150\) −1.25273 + 1.19610i −0.102285 + 0.0976612i
\(151\) 0.434637 + 0.598227i 0.0353703 + 0.0486830i 0.826336 0.563178i \(-0.190421\pi\)
−0.790966 + 0.611861i \(0.790421\pi\)
\(152\) 2.72438 2.45304i 0.220976 0.198968i
\(153\) 11.6846 + 11.5426i 0.944643 + 0.933160i
\(154\) 0.666531i 0.0537106i
\(155\) −5.46446 1.06755i −0.438916 0.0857478i
\(156\) −0.880603 3.61919i −0.0705047 0.289767i
\(157\) 4.49248 + 13.8264i 0.358539 + 1.10347i 0.953929 + 0.300033i \(0.0969976\pi\)
−0.595390 + 0.803437i \(0.703002\pi\)
\(158\) 0.569563 + 0.632564i 0.0453120 + 0.0503241i
\(159\) 5.35955 6.31422i 0.425040 0.500750i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) −3.99641 + 6.92199i −0.314961 + 0.545529i
\(162\) −4.40434 + 7.84868i −0.346038 + 0.616651i
\(163\) −1.48950 1.08219i −0.116667 0.0847633i 0.527922 0.849293i \(-0.322971\pi\)
−0.644589 + 0.764530i \(0.722971\pi\)
\(164\) −1.64107 0.172483i −0.128146 0.0134687i
\(165\) −0.867572 0.467624i −0.0675404 0.0364045i
\(166\) 1.35732 3.04860i 0.105349 0.236617i
\(167\) −8.07631 1.71667i −0.624964 0.132840i −0.115465 0.993312i \(-0.536836\pi\)
−0.509499 + 0.860471i \(0.670169\pi\)
\(168\) −0.879044 1.82855i −0.0678197 0.141075i
\(169\) 7.65125 3.40656i 0.588558 0.262043i
\(170\) −1.69180 + 5.20684i −0.129755 + 0.399346i
\(171\) 1.78687 + 10.8519i 0.136645 + 0.829867i
\(172\) 2.10989 + 4.73888i 0.160877 + 0.361336i
\(173\) 2.62903 + 12.3686i 0.199881 + 0.940368i 0.957670 + 0.287868i \(0.0929464\pi\)
−0.757789 + 0.652500i \(0.773720\pi\)
\(174\) 0.522828 + 17.8770i 0.0396355 + 1.35525i
\(175\) 1.07010 + 0.476438i 0.0808917 + 0.0360153i
\(176\) −0.380749 + 0.422865i −0.0287000 + 0.0318746i
\(177\) −6.50650 + 0.876845i −0.489059 + 0.0659077i
\(178\) 7.70220 10.6012i 0.577304 0.794591i
\(179\) −0.510614 4.85816i −0.0381651 0.363116i −0.996892 0.0787862i \(-0.974896\pi\)
0.958726 0.284330i \(-0.0917711\pi\)
\(180\) −2.99679 0.138685i −0.223368 0.0103369i
\(181\) 10.9043 6.29562i 0.810513 0.467950i −0.0366213 0.999329i \(-0.511660\pi\)
0.847134 + 0.531380i \(0.178326\pi\)
\(182\) −2.03794 + 1.48065i −0.151062 + 0.109753i
\(183\) −5.53106 + 8.10069i −0.408868 + 0.598820i
\(184\) 6.48954 2.10858i 0.478415 0.155447i
\(185\) 1.54349 0.113480
\(186\) −5.19869 8.12241i −0.381186 0.595564i
\(187\) −3.11527 −0.227811
\(188\) −0.408277 + 0.132657i −0.0297766 + 0.00967502i
\(189\) 6.04156 + 0.739074i 0.439459 + 0.0537597i
\(190\) −2.96587 + 2.15483i −0.215167 + 0.156328i
\(191\) −15.8368 + 9.14337i −1.14591 + 0.661591i −0.947887 0.318606i \(-0.896785\pi\)
−0.198022 + 0.980198i \(0.563452\pi\)
\(192\) −0.486849 + 1.66222i −0.0351353 + 0.119960i
\(193\) −1.65439 15.7405i −0.119086 1.13303i −0.876939 0.480601i \(-0.840419\pi\)
0.757854 0.652425i \(-0.226248\pi\)
\(194\) 0.488901 0.672915i 0.0351011 0.0483125i
\(195\) 0.497471 + 3.69141i 0.0356246 + 0.264347i
\(196\) 3.76580 4.18235i 0.268986 0.298739i
\(197\) −16.5671 7.37615i −1.18036 0.525529i −0.279712 0.960084i \(-0.590239\pi\)
−0.900645 + 0.434555i \(0.856906\pi\)
\(198\) −0.451895 1.64616i −0.0321148 0.116988i
\(199\) −4.21524 19.8311i −0.298810 1.40579i −0.829633 0.558309i \(-0.811451\pi\)
0.530823 0.847483i \(-0.321883\pi\)
\(200\) −0.406737 0.913545i −0.0287606 0.0645974i
\(201\) 1.59359 21.0720i 0.112403 1.48630i
\(202\) −4.91593 + 15.1297i −0.345883 + 1.06452i
\(203\) 11.0495 4.91955i 0.775521 0.345284i
\(204\) −8.54635 + 4.10852i −0.598364 + 0.287654i
\(205\) 1.61405 + 0.343077i 0.112730 + 0.0239615i
\(206\) −1.75486 + 3.94148i −0.122267 + 0.274616i
\(207\) −5.17714 + 19.8050i −0.359836 + 1.37654i
\(208\) 2.13872 + 0.224789i 0.148294 + 0.0155863i
\(209\) −1.68764 1.22614i −0.116736 0.0848140i
\(210\) 0.683094 + 1.91041i 0.0471380 + 0.131831i
\(211\) −8.73743 + 15.1337i −0.601510 + 1.04185i 0.391083 + 0.920355i \(0.372101\pi\)
−0.992593 + 0.121490i \(0.961233\pi\)
\(212\) 2.39085 + 4.14108i 0.164205 + 0.284411i
\(213\) −13.4448 11.4121i −0.921226 0.781942i
\(214\) −3.10223 3.44537i −0.212064 0.235521i
\(215\) −1.60298 4.93346i −0.109322 0.336459i
\(216\) −3.41073 3.92006i −0.232071 0.266727i
\(217\) −3.74586 + 5.33888i −0.254285 + 0.362427i
\(218\) 1.00745i 0.0682331i
\(219\) −3.70827 + 2.28805i −0.250581 + 0.154612i
\(220\) 0.422865 0.380749i 0.0285095 0.0256701i
\(221\) 6.92032 + 9.52501i 0.465511 + 0.640722i
\(222\) 1.84617 + 1.93358i 0.123907 + 0.129773i
\(223\) 11.8538 + 6.84380i 0.793790 + 0.458295i 0.841295 0.540576i \(-0.181794\pi\)
−0.0475051 + 0.998871i \(0.515127\pi\)
\(224\) 1.16495 0.122441i 0.0778365 0.00818094i
\(225\) 2.96588 + 0.451175i 0.197725 + 0.0300783i
\(226\) −1.78296 + 16.9638i −0.118601 + 1.12841i
\(227\) 12.8460 + 11.5666i 0.852620 + 0.767703i 0.974392 0.224856i \(-0.0721910\pi\)
−0.121772 + 0.992558i \(0.538858\pi\)
\(228\) −6.24691 1.13805i −0.413712 0.0753692i
\(229\) 3.74095 17.5998i 0.247209 1.16303i −0.662917 0.748693i \(-0.730682\pi\)
0.910126 0.414332i \(-0.135985\pi\)
\(230\) −6.67440 + 1.41869i −0.440097 + 0.0935454i
\(231\) −0.913747 + 0.705592i −0.0601201 + 0.0464245i
\(232\) −9.82031 3.19081i −0.644735 0.209487i
\(233\) −24.9434 8.10459i −1.63409 0.530949i −0.658887 0.752242i \(-0.728972\pi\)
−0.975207 + 0.221293i \(0.928972\pi\)
\(234\) −4.02933 + 5.03850i −0.263406 + 0.329377i
\(235\) 0.419907 0.0892539i 0.0273917 0.00582228i
\(236\) 0.788087 3.70766i 0.0513001 0.241348i
\(237\) 0.264240 1.45045i 0.0171642 0.0942166i
\(238\) 4.76578 + 4.29113i 0.308920 + 0.278152i
\(239\) −1.54501 + 14.6997i −0.0999381 + 0.950848i 0.823556 + 0.567235i \(0.191987\pi\)
−0.923494 + 0.383613i \(0.874680\pi\)
\(240\) 0.657931 1.60223i 0.0424693 0.103423i
\(241\) −3.01041 + 0.316407i −0.193918 + 0.0203816i −0.200989 0.979593i \(-0.564416\pi\)
0.00707169 + 0.999975i \(0.497749\pi\)
\(242\) −9.24587 5.33811i −0.594347 0.343147i
\(243\) 15.4222 2.27073i 0.989334 0.145668i
\(244\) −3.32872 4.58159i −0.213099 0.293306i
\(245\) −4.18235 + 3.76580i −0.267200 + 0.240588i
\(246\) 1.50078 + 2.43233i 0.0956863 + 0.155080i
\(247\) 7.88378i 0.501633i
\(248\) 5.42625 1.24734i 0.344567 0.0792062i
\(249\) −5.61619 + 1.36650i −0.355911 + 0.0865986i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) −8.51058 9.45196i −0.537183 0.596602i 0.412056 0.911159i \(-0.364811\pi\)
−0.949239 + 0.314556i \(0.898144\pi\)
\(252\) −1.57619 + 3.14078i −0.0992907 + 0.197851i
\(253\) −1.94136 3.36253i −0.122052 0.211400i
\(254\) −7.56661 + 13.1058i −0.474772 + 0.822328i
\(255\) 8.92899 3.19268i 0.559155 0.199933i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) 9.15701 + 0.962441i 0.571199 + 0.0600354i 0.385725 0.922614i \(-0.373951\pi\)
0.185474 + 0.982649i \(0.440618\pi\)
\(258\) 4.26299 7.90903i 0.265402 0.492394i
\(259\) 0.735376 1.65168i 0.0456941 0.102631i
\(260\) −2.10351 0.447115i −0.130454 0.0277289i
\(261\) 23.9540 19.6413i 1.48272 1.21577i
\(262\) −11.4497 + 5.09775i −0.707366 + 0.314940i
\(263\) −8.49185 + 26.1352i −0.523630 + 1.61157i 0.243379 + 0.969931i \(0.421744\pi\)
−0.767009 + 0.641637i \(0.778256\pi\)
\(264\) 0.982766 + 0.0743226i 0.0604851 + 0.00457424i
\(265\) −1.94490 4.36831i −0.119474 0.268343i
\(266\) 0.892824 + 4.20041i 0.0547426 + 0.257544i
\(267\) −22.6867 + 0.663492i −1.38840 + 0.0406051i
\(268\) 11.1459 + 4.96246i 0.680842 + 0.303130i
\(269\) 3.12757 3.47352i 0.190692 0.211784i −0.640216 0.768195i \(-0.721155\pi\)
0.830908 + 0.556411i \(0.187822\pi\)
\(270\) 2.98229 + 4.25511i 0.181496 + 0.258958i
\(271\) 12.0604 16.5997i 0.732618 1.00836i −0.266392 0.963865i \(-0.585831\pi\)
0.999010 0.0444972i \(-0.0141686\pi\)
\(272\) −0.572272 5.44480i −0.0346991 0.330140i
\(273\) 4.18718 + 1.22639i 0.253420 + 0.0742242i
\(274\) 4.11512 2.37587i 0.248604 0.143531i
\(275\) −0.460347 + 0.334462i −0.0277600 + 0.0201688i
\(276\) −9.76049 6.66435i −0.587512 0.401147i
\(277\) 28.9704 9.41307i 1.74067 0.565576i 0.745744 0.666233i \(-0.232094\pi\)
0.994921 + 0.100656i \(0.0320942\pi\)
\(278\) 4.49393 0.269528
\(279\) −5.63166 + 15.7253i −0.337158 + 0.941448i
\(280\) −1.17137 −0.0700025
\(281\) −6.09864 + 1.98157i −0.363815 + 0.118211i −0.485219 0.874393i \(-0.661260\pi\)
0.121405 + 0.992603i \(0.461260\pi\)
\(282\) 0.614062 + 0.419275i 0.0365669 + 0.0249674i
\(283\) 12.5885 9.14610i 0.748310 0.543679i −0.146993 0.989138i \(-0.546959\pi\)
0.895303 + 0.445459i \(0.146959\pi\)
\(284\) 8.81759 5.09084i 0.523227 0.302085i
\(285\) 6.09373 + 1.78480i 0.360961 + 0.105722i
\(286\) −0.127909 1.21698i −0.00756344 0.0719613i
\(287\) 1.13612 1.56373i 0.0670630 0.0923042i
\(288\) 2.79411 1.09221i 0.164645 0.0643591i
\(289\) 8.68088 9.64109i 0.510640 0.567123i
\(290\) 9.43298 + 4.19984i 0.553924 + 0.246623i
\(291\) −1.44005 + 0.0421155i −0.0844172 + 0.00246886i
\(292\) −0.523046 2.46074i −0.0306090 0.144004i
\(293\) −12.2895 27.6027i −0.717960 1.61257i −0.788484 0.615055i \(-0.789134\pi\)
0.0705235 0.997510i \(-0.477533\pi\)
\(294\) −9.72005 0.735088i −0.566885 0.0428712i
\(295\) −1.17133 + 3.60497i −0.0681972 + 0.209889i
\(296\) −1.41005 + 0.627794i −0.0819573 + 0.0364898i
\(297\) −1.77834 + 2.36213i −0.103190 + 0.137065i
\(298\) −17.4880 3.71719i −1.01305 0.215331i
\(299\) −5.96844 + 13.4053i −0.345164 + 0.775251i
\(300\) −0.821805 + 1.52468i −0.0474469 + 0.0880272i
\(301\) −6.04300 0.635145i −0.348313 0.0366091i
\(302\) 0.598227 + 0.434637i 0.0344241 + 0.0250106i
\(303\) 25.9452 9.27706i 1.49051 0.532953i
\(304\) 1.83301 3.17486i 0.105130 0.182091i
\(305\) 2.83158 + 4.90443i 0.162136 + 0.280827i
\(306\) 14.6796 + 7.36688i 0.839174 + 0.421137i
\(307\) −13.6916 15.2061i −0.781421 0.867856i 0.212590 0.977142i \(-0.431810\pi\)
−0.994010 + 0.109286i \(0.965144\pi\)
\(308\) −0.205970 0.633909i −0.0117362 0.0361203i
\(309\) 7.26107 1.76673i 0.413068 0.100506i
\(310\) −5.52690 + 0.673310i −0.313907 + 0.0382414i
\(311\) 32.8476i 1.86262i −0.364230 0.931309i \(-0.618668\pi\)
0.364230 0.931309i \(-0.381332\pi\)
\(312\) −1.95589 3.16993i −0.110731 0.179462i
\(313\) 13.2534 11.9334i 0.749125 0.674515i −0.203359 0.979104i \(-0.565186\pi\)
0.952484 + 0.304589i \(0.0985192\pi\)
\(314\) 8.54521 + 11.7615i 0.482234 + 0.663738i
\(315\) 1.89586 2.95882i 0.106819 0.166711i
\(316\) 0.737160 + 0.425599i 0.0414685 + 0.0239418i
\(317\) −27.4340 + 2.88343i −1.54085 + 0.161950i −0.836524 0.547930i \(-0.815416\pi\)
−0.704323 + 0.709880i \(0.748749\pi\)
\(318\) 3.14603 7.66137i 0.176421 0.429628i
\(319\) −0.614160 + 5.84334i −0.0343863 + 0.327164i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −1.43923 + 7.90012i −0.0803300 + 0.440942i
\(322\) −1.66180 + 7.81816i −0.0926086 + 0.435689i
\(323\) 19.6321 4.17293i 1.09236 0.232188i
\(324\) −1.76340 + 8.82556i −0.0979666 + 0.490309i
\(325\) 2.04525 + 0.664542i 0.113450 + 0.0368622i
\(326\) −1.75101 0.568938i −0.0969796 0.0315106i
\(327\) −1.38111 + 1.06649i −0.0763756 + 0.0589770i
\(328\) −1.61405 + 0.343077i −0.0891209 + 0.0189432i
\(329\) 0.104549 0.491865i 0.00576398 0.0271174i
\(330\) −0.969613 0.176642i −0.0533755 0.00972385i
\(331\) 2.86711 + 2.58156i 0.157591 + 0.141895i 0.744154 0.668008i \(-0.232853\pi\)
−0.586563 + 0.809903i \(0.699519\pi\)
\(332\) 0.348823 3.31883i 0.0191441 0.182144i
\(333\) 0.696384 4.57780i 0.0381616 0.250862i
\(334\) −8.21151 + 0.863065i −0.449314 + 0.0472248i
\(335\) −10.5661 6.10033i −0.577287 0.333297i
\(336\) −1.40107 1.46741i −0.0764348 0.0800538i
\(337\) 6.05519 + 8.33426i 0.329847 + 0.453996i 0.941442 0.337175i \(-0.109472\pi\)
−0.611594 + 0.791171i \(0.709472\pi\)
\(338\) 6.22409 5.60419i 0.338546 0.304828i
\(339\) 25.1431 15.5136i 1.36558 0.842585i
\(340\) 5.47479i 0.296912i
\(341\) −1.33621 2.87260i −0.0723598 0.155560i
\(342\) 5.05284 + 9.76861i 0.273226 + 0.528226i
\(343\) 4.57095 + 14.0679i 0.246808 + 0.759597i
\(344\) 3.47101 + 3.85495i 0.187145 + 0.207845i
\(345\) 9.01040 + 7.64809i 0.485104 + 0.411759i
\(346\) 6.32246 + 10.9508i 0.339898 + 0.588720i
\(347\) 14.3911 24.9261i 0.772554 1.33810i −0.163605 0.986526i \(-0.552312\pi\)
0.936159 0.351577i \(-0.114354\pi\)
\(348\) 6.02153 + 16.8404i 0.322788 + 0.902743i
\(349\) −12.5161 9.09349i −0.669973 0.486764i 0.200043 0.979787i \(-0.435892\pi\)
−0.870016 + 0.493023i \(0.835892\pi\)
\(350\) 1.16495 + 0.122441i 0.0622692 + 0.00654475i
\(351\) 11.1727 + 0.190034i 0.596356 + 0.0101433i
\(352\) −0.231441 + 0.519826i −0.0123359 + 0.0277068i
\(353\) 7.48355 + 1.59068i 0.398309 + 0.0846632i 0.402711 0.915327i \(-0.368068\pi\)
−0.00440211 + 0.999990i \(0.501401\pi\)
\(354\) −5.91709 + 2.84455i −0.314490 + 0.151186i
\(355\) −9.30142 + 4.14126i −0.493668 + 0.219795i
\(356\) 4.04929 12.4624i 0.214612 0.660507i
\(357\) 0.837632 11.0760i 0.0443322 0.586204i
\(358\) −1.98688 4.46260i −0.105010 0.235856i
\(359\) −1.09807 5.16601i −0.0579539 0.272652i 0.939624 0.342208i \(-0.111175\pi\)
−0.997578 + 0.0695567i \(0.977842\pi\)
\(360\) −2.89298 + 0.794163i −0.152473 + 0.0418561i
\(361\) −5.07962 2.26159i −0.267348 0.119031i
\(362\) 8.42518 9.35711i 0.442818 0.491799i
\(363\) 2.46970 + 18.3261i 0.129626 + 0.961870i
\(364\) −1.48065 + 2.03794i −0.0776070 + 0.106817i
\(365\) 0.262964 + 2.50193i 0.0137641 + 0.130957i
\(366\) −2.75710 + 9.41341i −0.144116 + 0.492047i
\(367\) −4.30266 + 2.48414i −0.224597 + 0.129671i −0.608077 0.793878i \(-0.708059\pi\)
0.383480 + 0.923549i \(0.374725\pi\)
\(368\) 5.52033 4.01076i 0.287767 0.209075i
\(369\) 1.74574 4.63229i 0.0908797 0.241147i
\(370\) 1.46795 0.476964i 0.0763148 0.0247962i
\(371\) −5.60113 −0.290796
\(372\) −7.45421 6.11839i −0.386483 0.317224i
\(373\) −33.1963 −1.71884 −0.859419 0.511271i \(-0.829175\pi\)
−0.859419 + 0.511271i \(0.829175\pi\)
\(374\) −2.96280 + 0.962671i −0.153203 + 0.0497785i
\(375\) 0.976675 1.43042i 0.0504353 0.0738666i
\(376\) −0.347301 + 0.252329i −0.0179107 + 0.0130129i
\(377\) 19.2305 11.1027i 0.990419 0.571819i
\(378\) 5.97425 1.16404i 0.307282 0.0598719i
\(379\) 2.07737 + 19.7648i 0.106707 + 1.01525i 0.908567 + 0.417739i \(0.137177\pi\)
−0.801860 + 0.597512i \(0.796156\pi\)
\(380\) −2.15483 + 2.96587i −0.110540 + 0.152146i
\(381\) 25.9767 3.50073i 1.33083 0.179348i
\(382\) −12.2362 + 13.5897i −0.626059 + 0.695309i
\(383\) −15.2225 6.77751i −0.777835 0.346315i −0.0208806 0.999782i \(-0.506647\pi\)
−0.756955 + 0.653467i \(0.773314\pi\)
\(384\) 0.0506337 + 1.73131i 0.00258389 + 0.0883506i
\(385\) 0.138580 + 0.651966i 0.00706267 + 0.0332273i
\(386\) −6.43750 14.4589i −0.327660 0.735937i
\(387\) −15.3553 + 2.52839i −0.780553 + 0.128525i
\(388\) 0.257031 0.791059i 0.0130488 0.0401599i
\(389\) 18.9726 8.44715i 0.961950 0.428288i 0.135176 0.990822i \(-0.456840\pi\)
0.826774 + 0.562534i \(0.190174\pi\)
\(390\) 1.61383 + 3.35701i 0.0817195 + 0.169989i
\(391\) 36.5409 + 7.76702i 1.84795 + 0.392795i
\(392\) 2.28907 5.14134i 0.115616 0.259677i
\(393\) 19.1092 + 10.2999i 0.963931 + 0.519562i
\(394\) −18.0356 1.89562i −0.908621 0.0954999i
\(395\) −0.688634 0.500322i −0.0346490 0.0251739i
\(396\) −0.938470 1.42595i −0.0471599 0.0716567i
\(397\) 2.36809 4.10165i 0.118851 0.205856i −0.800462 0.599384i \(-0.795412\pi\)
0.919313 + 0.393528i \(0.128746\pi\)
\(398\) −10.1371 17.5579i −0.508126 0.880100i
\(399\) 4.81318 5.67053i 0.240961 0.283882i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 5.38252 + 16.5657i 0.268790 + 0.827251i 0.990796 + 0.135364i \(0.0432204\pi\)
−0.722006 + 0.691887i \(0.756780\pi\)
\(402\) −4.99601 20.5331i −0.249178 1.02410i
\(403\) −5.81477 + 10.4668i −0.289654 + 0.521386i
\(404\) 15.9083i 0.791466i
\(405\) 2.67626 8.59288i 0.132984 0.426984i
\(406\) 8.98846 8.09324i 0.446090 0.401661i
\(407\) 0.516238 + 0.710541i 0.0255890 + 0.0352202i
\(408\) −6.85846 + 6.54841i −0.339544 + 0.324194i
\(409\) −22.7494 13.1343i −1.12488 0.649452i −0.182240 0.983254i \(-0.558335\pi\)
−0.942643 + 0.333802i \(0.891668\pi\)
\(410\) 1.64107 0.172483i 0.0810466 0.00851834i
\(411\) −7.61335 3.12631i −0.375539 0.154210i
\(412\) −0.450987 + 4.29085i −0.0222185 + 0.211395i
\(413\) 3.29960 + 2.97097i 0.162363 + 0.146192i
\(414\) 1.19633 + 20.4355i 0.0587966 + 1.00435i
\(415\) −0.693824 + 3.26418i −0.0340585 + 0.160233i
\(416\) 2.10351 0.447115i 0.103133 0.0219216i
\(417\) −4.75729 6.16072i −0.232965 0.301692i
\(418\) −1.98394 0.644621i −0.0970377 0.0315294i
\(419\) 5.07827 + 1.65003i 0.248090 + 0.0806092i 0.430422 0.902628i \(-0.358365\pi\)
−0.182333 + 0.983237i \(0.558365\pi\)
\(420\) 1.24001 + 1.60582i 0.0605063 + 0.0783562i
\(421\) 8.11085 1.72401i 0.395299 0.0840233i −0.00597357 0.999982i \(-0.501901\pi\)
0.401272 + 0.915959i \(0.368568\pi\)
\(422\) −3.63323 + 17.0930i −0.176863 + 0.832074i
\(423\) −0.0752650 1.28566i −0.00365951 0.0625110i
\(424\) 3.55350 + 3.19959i 0.172573 + 0.155386i
\(425\) 0.572272 5.44480i 0.0277593 0.264112i
\(426\) −16.3133 6.69884i −0.790384 0.324560i
\(427\) 6.59729 0.693403i 0.319265 0.0335561i
\(428\) −4.01507 2.31810i −0.194076 0.112050i
\(429\) −1.53295 + 1.46365i −0.0740113 + 0.0706655i
\(430\) −3.04905 4.19665i −0.147038 0.202381i
\(431\) −19.2853 + 17.3645i −0.928938 + 0.836420i −0.986806 0.161904i \(-0.948236\pi\)
0.0578680 + 0.998324i \(0.481570\pi\)
\(432\) −4.45517 2.67423i −0.214349 0.128664i
\(433\) 5.55549i 0.266980i −0.991050 0.133490i \(-0.957382\pi\)
0.991050 0.133490i \(-0.0426184\pi\)
\(434\) −1.91272 + 6.23511i −0.0918134 + 0.299295i
\(435\) −4.22823 17.3776i −0.202728 0.833193i
\(436\) −0.311319 0.958142i −0.0149095 0.0458867i
\(437\) 16.7384 + 18.5898i 0.800704 + 0.889272i
\(438\) −2.81972 + 3.32199i −0.134732 + 0.158731i
\(439\) 19.1175 + 33.1126i 0.912430 + 1.58038i 0.810620 + 0.585572i \(0.199130\pi\)
0.101810 + 0.994804i \(0.467537\pi\)
\(440\) 0.284510 0.492786i 0.0135635 0.0234927i
\(441\) 9.28194 + 14.1034i 0.441997 + 0.671589i
\(442\) 9.52501 + 6.92032i 0.453059 + 0.329166i
\(443\) −13.1871 1.38602i −0.626537 0.0658517i −0.214061 0.976820i \(-0.568669\pi\)
−0.412476 + 0.910969i \(0.635336\pi\)
\(444\) 2.35332 + 1.26845i 0.111684 + 0.0601978i
\(445\) −5.32978 + 11.9709i −0.252656 + 0.567474i
\(446\) 13.3885 + 2.84581i 0.633964 + 0.134753i
\(447\) 13.4170 + 27.9093i 0.634601 + 1.32007i
\(448\) 1.07010 0.476438i 0.0505573 0.0225096i
\(449\) 6.03767 18.5820i 0.284935 0.876940i −0.701483 0.712686i \(-0.747478\pi\)
0.986418 0.164254i \(-0.0525216\pi\)
\(450\) 2.96014 0.487414i 0.139542 0.0229769i
\(451\) 0.381903 + 0.857769i 0.0179831 + 0.0403908i
\(452\) 3.54639 + 16.6845i 0.166808 + 0.784772i
\(453\) −0.0374410 1.28022i −0.00175913 0.0601498i
\(454\) 15.7916 + 7.03086i 0.741135 + 0.329975i
\(455\) 1.68556 1.87200i 0.0790202 0.0877608i
\(456\) −6.29284 + 0.848050i −0.294689 + 0.0397136i
\(457\) 8.32696 11.4611i 0.389519 0.536126i −0.568556 0.822644i \(-0.692498\pi\)
0.958075 + 0.286518i \(0.0924978\pi\)
\(458\) −1.88078 17.8944i −0.0878829 0.836150i
\(459\) −5.44057 27.9228i −0.253944 1.30332i
\(460\) −5.90933 + 3.41175i −0.275524 + 0.159074i
\(461\) −23.3216 + 16.9441i −1.08619 + 0.789166i −0.978752 0.205045i \(-0.934266\pi\)
−0.107442 + 0.994211i \(0.534266\pi\)
\(462\) −0.650985 + 0.953421i −0.0302866 + 0.0443572i
\(463\) −30.0461 + 9.76257i −1.39636 + 0.453705i −0.908012 0.418943i \(-0.862401\pi\)
−0.488349 + 0.872649i \(0.662401\pi\)
\(464\) −10.3257 −0.479358
\(465\) 6.77383 + 6.86405i 0.314129 + 0.318313i
\(466\) −26.2270 −1.21494
\(467\) 2.95370 0.959715i 0.136681 0.0444103i −0.239878 0.970803i \(-0.577107\pi\)
0.376559 + 0.926393i \(0.377107\pi\)
\(468\) −2.27514 + 6.03703i −0.105168 + 0.279062i
\(469\) −11.5620 + 8.40030i −0.533885 + 0.387890i
\(470\) 0.371774 0.214644i 0.0171487 0.00990078i
\(471\) 7.07780 24.1653i 0.326128 1.11348i
\(472\) −0.396214 3.76972i −0.0182372 0.173516i
\(473\) 1.73497 2.38798i 0.0797740 0.109800i
\(474\) −0.196906 1.46111i −0.00904418 0.0671111i
\(475\) 2.45304 2.72438i 0.112553 0.125003i
\(476\) 5.85856 + 2.60840i 0.268527 + 0.119556i
\(477\) −13.8334 + 3.79746i −0.633386 + 0.173874i
\(478\) 3.07308 + 14.4577i 0.140560 + 0.661281i
\(479\) −8.08892 18.1680i −0.369592 0.830118i −0.998609 0.0527261i \(-0.983209\pi\)
0.629017 0.777392i \(-0.283458\pi\)
\(480\) 0.130615 1.72712i 0.00596173 0.0788318i
\(481\) 1.02571 3.15682i 0.0467685 0.143939i
\(482\) −2.76530 + 1.23119i −0.125956 + 0.0560791i
\(483\) 12.4771 5.99816i 0.567727 0.272926i
\(484\) −10.4429 2.21971i −0.474678 0.100896i
\(485\) −0.338311 + 0.759858i −0.0153619 + 0.0345034i
\(486\) 13.9657 6.92531i 0.633496 0.314139i
\(487\) −17.9348 1.88503i −0.812705 0.0854188i −0.310948 0.950427i \(-0.600646\pi\)
−0.501758 + 0.865008i \(0.667313\pi\)
\(488\) −4.58159 3.32872i −0.207399 0.150684i
\(489\) 1.07367 + 3.00274i 0.0485530 + 0.135789i
\(490\) −2.81395 + 4.87391i −0.127121 + 0.220181i
\(491\) −0.426512 0.738741i −0.0192482 0.0333389i 0.856241 0.516577i \(-0.172794\pi\)
−0.875489 + 0.483238i \(0.839461\pi\)
\(492\) 2.17896 + 1.84951i 0.0982351 + 0.0833825i
\(493\) −37.8266 42.0107i −1.70363 1.89207i
\(494\) 2.43622 + 7.49792i 0.109611 + 0.337347i
\(495\) 0.784276 + 1.51624i 0.0352506 + 0.0681497i
\(496\) 4.77522 2.86309i 0.214414 0.128557i
\(497\) 11.9265i 0.534975i
\(498\) −4.91904 + 3.03512i −0.220427 + 0.136007i
\(499\) −7.37273 + 6.63843i −0.330049 + 0.297177i −0.817448 0.576002i \(-0.804612\pi\)
0.487400 + 0.873179i \(0.337945\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) 9.87590 + 10.3435i 0.441223 + 0.462114i
\(502\) −11.0149 6.35943i −0.491617 0.283835i
\(503\) 32.0836 3.37213i 1.43054 0.150356i 0.642644 0.766165i \(-0.277838\pi\)
0.787895 + 0.615810i \(0.211171\pi\)
\(504\) −0.528491 + 3.47413i −0.0235409 + 0.154750i
\(505\) 1.66287 15.8211i 0.0739966 0.704031i
\(506\) −2.88542 2.59804i −0.128273 0.115497i
\(507\) −14.2716 2.59998i −0.633825 0.115469i
\(508\) −3.14637 + 14.8025i −0.139598 + 0.656756i
\(509\) 6.94827 1.47690i 0.307977 0.0654625i −0.0513307 0.998682i \(-0.516346\pi\)
0.359307 + 0.933219i \(0.383013\pi\)
\(510\) 7.50538 5.79563i 0.332344 0.256635i
\(511\) 2.80259 + 0.910618i 0.123979 + 0.0402834i
\(512\) −0.951057 0.309017i −0.0420312 0.0136568i
\(513\) 8.04282 17.2680i 0.355099 0.762401i
\(514\) 9.00625 1.91434i 0.397248 0.0844378i
\(515\) 0.897032 4.22021i 0.0395280 0.185964i
\(516\) 1.61032 8.83927i 0.0708905 0.389127i
\(517\) 0.181531 + 0.163451i 0.00798370 + 0.00718856i
\(518\) 0.188987 1.79809i 0.00830359 0.0790034i
\(519\) 8.31949 20.2600i 0.365185 0.889316i
\(520\) −2.13872 + 0.224789i −0.0937892 + 0.00985764i
\(521\) 5.15742 + 2.97764i 0.225951 + 0.130453i 0.608703 0.793398i \(-0.291690\pi\)
−0.382752 + 0.923851i \(0.625024\pi\)
\(522\) 16.7121 26.0822i 0.731470 1.14159i
\(523\) −11.8967 16.3744i −0.520207 0.716004i 0.465392 0.885105i \(-0.345914\pi\)
−0.985599 + 0.169101i \(0.945914\pi\)
\(524\) −9.31404 + 8.38640i −0.406886 + 0.366362i
\(525\) −1.06536 1.72664i −0.0464963 0.0753569i
\(526\) 27.4802i 1.19819i
\(527\) 29.1420 + 8.93976i 1.26944 + 0.389422i
\(528\) 0.957633 0.233006i 0.0416756 0.0101403i
\(529\) 7.28051 + 22.4071i 0.316544 + 0.974222i
\(530\) −3.19959 3.55350i −0.138981 0.154354i
\(531\) 10.1634 + 5.10048i 0.441055 + 0.221342i
\(532\) 2.14712 + 3.71893i 0.0930896 + 0.161236i
\(533\) 1.77428 3.07314i 0.0768526 0.133113i
\(534\) −21.3713 + 7.64159i −0.924826 + 0.330684i
\(535\) 3.75077 + 2.72509i 0.162160 + 0.117816i
\(536\) 12.1338 + 1.27532i 0.524102 + 0.0550853i
\(537\) −4.01446 + 7.44793i −0.173237 + 0.321402i
\(538\) 1.90112 4.26999i 0.0819632 0.184092i
\(539\) −3.13241 0.665814i −0.134922 0.0286787i
\(540\) 4.15123 + 3.12527i 0.178640 + 0.134490i
\(541\) 0.527913 0.235042i 0.0226967 0.0101052i −0.395357 0.918528i \(-0.629379\pi\)
0.418054 + 0.908422i \(0.362712\pi\)
\(542\) 6.34053 19.5142i 0.272349 0.838205i
\(543\) −21.7466 1.64460i −0.933234 0.0705767i
\(544\) −2.22680 5.00147i −0.0954732 0.214436i
\(545\) 0.209461 + 0.985435i 0.00897231 + 0.0422114i
\(546\) 4.36122 0.127548i 0.186643 0.00545854i
\(547\) −16.0945 7.16573i −0.688151 0.306384i 0.0327096 0.999465i \(-0.489586\pi\)
−0.720860 + 0.693081i \(0.756253\pi\)
\(548\) 3.17953 3.53122i 0.135823 0.150846i
\(549\) 15.8235 6.18536i 0.675330 0.263985i
\(550\) −0.334462 + 0.460347i −0.0142615 + 0.0196293i
\(551\) −3.95683 37.6468i −0.168567 1.60381i
\(552\) −11.3422 3.32202i −0.482755 0.141394i
\(553\) −0.863484 + 0.498533i −0.0367191 + 0.0211998i
\(554\) 24.6437 17.9047i 1.04701 0.760699i
\(555\) −2.20784 1.50749i −0.0937176 0.0639893i
\(556\) 4.27398 1.38870i 0.181257 0.0588940i
\(557\) −18.8652 −0.799343 −0.399672 0.916658i \(-0.630876\pi\)
−0.399672 + 0.916658i \(0.630876\pi\)
\(558\) −0.496645 + 16.6959i −0.0210246 + 0.706794i
\(559\) −11.1554 −0.471824
\(560\) −1.11404 + 0.361972i −0.0470766 + 0.0152961i
\(561\) 4.45615 + 3.04261i 0.188139 + 0.128459i
\(562\) −5.18782 + 3.76917i −0.218835 + 0.158993i
\(563\) −9.19574 + 5.30916i −0.387554 + 0.223755i −0.681100 0.732191i \(-0.738498\pi\)
0.293546 + 0.955945i \(0.405165\pi\)
\(564\) 0.713571 + 0.208998i 0.0300468 + 0.00880041i
\(565\) −1.78296 16.9638i −0.0750099 0.713671i
\(566\) 9.14610 12.5885i 0.384439 0.529135i
\(567\) −7.92014 6.95783i −0.332615 0.292201i
\(568\) 6.81287 7.56646i 0.285862 0.317481i
\(569\) 26.4747 + 11.7873i 1.10988 + 0.494149i 0.878031 0.478604i \(-0.158857\pi\)
0.231846 + 0.972753i \(0.425524\pi\)
\(570\) 6.34701 0.185624i 0.265847 0.00777493i
\(571\) −5.05028 23.7597i −0.211348 0.994312i −0.948056 0.318102i \(-0.896954\pi\)
0.736709 0.676210i \(-0.236379\pi\)
\(572\) −0.497716 1.11789i −0.0208105 0.0467412i
\(573\) 31.5834 + 2.38852i 1.31941 + 0.0997819i
\(574\) 0.597293 1.83828i 0.0249305 0.0767283i
\(575\) 6.23358 2.77537i 0.259958 0.115741i
\(576\) 2.31985 1.90218i 0.0966604 0.0792576i
\(577\) 31.4854 + 6.69244i 1.31076 + 0.278610i 0.809720 0.586816i \(-0.199619\pi\)
0.501036 + 0.865426i \(0.332952\pi\)
\(578\) 5.27674 11.8518i 0.219484 0.492968i
\(579\) −13.0069 + 24.1313i −0.540547 + 1.00286i
\(580\) 10.2691 + 1.07933i 0.426402 + 0.0448167i
\(581\) 3.16243 + 2.29764i 0.131200 + 0.0953221i
\(582\) −1.35655 + 0.485054i −0.0562310 + 0.0201061i
\(583\) 1.36044 2.35636i 0.0563439 0.0975904i
\(584\) −1.25786 2.17867i −0.0520505 0.0901541i
\(585\) 2.89372 5.76614i 0.119640 0.238401i
\(586\) −20.2177 22.4540i −0.835186 0.927568i
\(587\) 9.02095 + 27.7636i 0.372335 + 1.14593i 0.945259 + 0.326320i \(0.105809\pi\)
−0.572925 + 0.819608i \(0.694191\pi\)
\(588\) −9.47148 + 2.30455i −0.390597 + 0.0950381i
\(589\) 12.2685 + 16.3130i 0.505516 + 0.672164i
\(590\) 3.79049i 0.156052i
\(591\) 16.4938 + 26.7317i 0.678466 + 1.09959i
\(592\) −1.14704 + 1.03280i −0.0471429 + 0.0424476i
\(593\) 19.6006 + 26.9779i 0.804900 + 1.10785i 0.992090 + 0.125526i \(0.0400617\pi\)
−0.187191 + 0.982324i \(0.559938\pi\)
\(594\) −0.961365 + 2.79606i −0.0394453 + 0.114724i
\(595\) −5.55381 3.20649i −0.227684 0.131453i
\(596\) −17.7808 + 1.86883i −0.728329 + 0.0765504i
\(597\) −13.3390 + 32.4838i −0.545929 + 1.32947i
\(598\) −1.53385 + 14.5936i −0.0627237 + 0.596776i
\(599\) 17.3303 + 15.6043i 0.708097 + 0.637574i 0.942360 0.334599i \(-0.108601\pi\)
−0.234263 + 0.972173i \(0.575268\pi\)
\(600\) −0.310432 + 1.70400i −0.0126734 + 0.0695657i
\(601\) −4.22756 + 19.8891i −0.172446 + 0.811293i 0.803846 + 0.594837i \(0.202783\pi\)
−0.976292 + 0.216457i \(0.930550\pi\)
\(602\) −5.94351 + 1.26333i −0.242239 + 0.0514895i
\(603\) −22.8600 + 28.5854i −0.930931 + 1.16409i
\(604\) 0.703258 + 0.228502i 0.0286152 + 0.00929763i
\(605\) 10.1537 + 3.29913i 0.412806 + 0.134129i
\(606\) 21.8086 16.8405i 0.885914 0.684100i
\(607\) 14.7869 3.14305i 0.600181 0.127572i 0.102205 0.994763i \(-0.467410\pi\)
0.497976 + 0.867191i \(0.334077\pi\)
\(608\) 0.762207 3.58590i 0.0309116 0.145428i
\(609\) −20.6102 3.75473i −0.835168 0.152149i
\(610\) 4.20854 + 3.78939i 0.170399 + 0.153428i
\(611\) 0.0964990 0.918127i 0.00390393 0.0371434i
\(612\) 16.2376 + 2.47009i 0.656365 + 0.0998475i
\(613\) −5.40291 + 0.567868i −0.218221 + 0.0229360i −0.213008 0.977050i \(-0.568326\pi\)
−0.00521317 + 0.999986i \(0.501659\pi\)
\(614\) −17.7204 10.2309i −0.715138 0.412885i
\(615\) −1.97370 2.06715i −0.0795871 0.0833554i
\(616\) −0.391777 0.539235i −0.0157852 0.0217264i
\(617\) 6.79995 6.12270i 0.273756 0.246491i −0.520805 0.853676i \(-0.674368\pi\)
0.794560 + 0.607185i \(0.207701\pi\)
\(618\) 6.35974 3.92405i 0.255826 0.157848i
\(619\) 26.6125i 1.06965i −0.844963 0.534824i \(-0.820378\pi\)
0.844963 0.534824i \(-0.179622\pi\)
\(620\) −5.04833 + 2.34826i −0.202746 + 0.0943085i
\(621\) 26.7486 23.2731i 1.07338 0.933919i
\(622\) −10.1505 31.2400i −0.406997 1.25261i
\(623\) 10.2707 + 11.4068i 0.411487 + 0.457002i
\(624\) −2.83973 2.41038i −0.113680 0.0964924i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 8.91708 15.4448i 0.356398 0.617300i
\(627\) 1.21649 + 3.40218i 0.0485821 + 0.135870i
\(628\) 11.7615 + 8.54521i 0.469334 + 0.340991i
\(629\) −8.40399 0.883295i −0.335089 0.0352193i
\(630\) 0.888742 3.39986i 0.0354083 0.135454i
\(631\) −4.89230 + 10.9883i −0.194759 + 0.437437i −0.984356 0.176189i \(-0.943623\pi\)
0.789597 + 0.613626i \(0.210290\pi\)
\(632\) 0.832598 + 0.176974i 0.0331190 + 0.00703966i
\(633\) 27.2789 13.1139i 1.08424 0.521231i
\(634\) −25.2003 + 11.2199i −1.00083 + 0.445598i
\(635\) 4.67642 14.3926i 0.185578 0.571151i
\(636\) 0.624562 8.25858i 0.0247655 0.327474i
\(637\) 4.92266 + 11.0565i 0.195043 + 0.438073i
\(638\) 1.22159 + 5.74713i 0.0483632 + 0.227531i
\(639\) 8.08591 + 29.4553i 0.319874 + 1.16523i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 18.2043 20.2180i 0.719028 0.798562i −0.267255 0.963626i \(-0.586116\pi\)
0.986283 + 0.165064i \(0.0527831\pi\)
\(642\) 1.07248 + 7.95821i 0.0423275 + 0.314085i
\(643\) −23.1182 + 31.8194i −0.911692 + 1.25484i 0.0548934 + 0.998492i \(0.482518\pi\)
−0.966586 + 0.256344i \(0.917482\pi\)
\(644\) 0.835478 + 7.94904i 0.0329224 + 0.313236i
\(645\) −2.52546 + 8.62252i −0.0994397 + 0.339511i
\(646\) 17.3817 10.0353i 0.683874 0.394835i
\(647\) 0.346380 0.251660i 0.0136176 0.00989376i −0.580956 0.813935i \(-0.697321\pi\)
0.594573 + 0.804041i \(0.297321\pi\)
\(648\) 1.05015 + 8.93852i 0.0412539 + 0.351138i
\(649\) −2.05130 + 0.666508i −0.0805206 + 0.0261627i
\(650\) 2.15050 0.0843497
\(651\) 10.5725 3.97836i 0.414369 0.155924i
\(652\) −1.84112 −0.0721040
\(653\) −13.1871 + 4.28474i −0.516050 + 0.167675i −0.555452 0.831549i \(-0.687455\pi\)
0.0394022 + 0.999223i \(0.487455\pi\)
\(654\) −0.983952 + 1.44108i −0.0384756 + 0.0563506i
\(655\) 10.1396 7.36688i 0.396188 0.287848i
\(656\) −1.42904 + 0.825054i −0.0557944 + 0.0322129i
\(657\) 7.53907 + 0.348890i 0.294127 + 0.0136115i
\(658\) −0.0525625 0.500098i −0.00204910 0.0194959i
\(659\) 18.8321 25.9202i 0.733595 1.00971i −0.265366 0.964148i \(-0.585493\pi\)
0.998962 0.0455599i \(-0.0145072\pi\)
\(660\) −0.976743 + 0.131630i −0.0380197 + 0.00512370i
\(661\) −0.371837 + 0.412966i −0.0144628 + 0.0160625i −0.750333 0.661060i \(-0.770107\pi\)
0.735870 + 0.677123i \(0.236773\pi\)
\(662\) 3.52453 + 1.56922i 0.136985 + 0.0609896i
\(663\) −0.596139 20.3837i −0.0231521 0.791637i
\(664\) −0.693824 3.26418i −0.0269256 0.126675i
\(665\) −1.74663 3.92299i −0.0677313 0.152127i
\(666\) −0.752319 4.56894i −0.0291518 0.177043i
\(667\) 21.7725 67.0089i 0.843036 2.59460i
\(668\) −7.54291 + 3.35832i −0.291844 + 0.129937i
\(669\) −10.2718 21.3668i −0.397130 0.826090i
\(670\) −11.9340 2.53666i −0.461053 0.0979997i
\(671\) −1.31069 + 2.94385i −0.0505986 + 0.113646i
\(672\) −1.78595 0.962635i −0.0688947 0.0371344i
\(673\) −15.2554 1.60341i −0.588053 0.0618068i −0.194170 0.980968i \(-0.562202\pi\)
−0.393882 + 0.919161i \(0.628868\pi\)
\(674\) 8.33426 + 6.05519i 0.321024 + 0.233237i
\(675\) −3.80181 3.54207i −0.146332 0.136334i
\(676\) 4.18767 7.25325i 0.161064 0.278971i
\(677\) 0.114376 + 0.198105i 0.00439582 + 0.00761378i 0.868215 0.496188i \(-0.165267\pi\)
−0.863819 + 0.503802i \(0.831934\pi\)
\(678\) 19.1185 22.5240i 0.734241 0.865028i
\(679\) 0.651938 + 0.724050i 0.0250191 + 0.0277865i
\(680\) 1.69180 + 5.20684i 0.0648777 + 0.199673i
\(681\) −7.07840 29.0915i −0.271245 1.11479i
\(682\) −2.15849 2.31910i −0.0826530 0.0888029i
\(683\) 11.8167i 0.452154i −0.974109 0.226077i \(-0.927410\pi\)
0.974109 0.226077i \(-0.0725900\pi\)
\(684\) 7.82420 + 7.72909i 0.299166 + 0.295529i
\(685\) −3.53122 + 3.17953i −0.134921 + 0.121484i
\(686\) 8.69446 + 11.9669i 0.331956 + 0.456898i
\(687\) −22.5404 + 21.5214i −0.859969 + 0.821092i
\(688\) 4.49238 + 2.59367i 0.171270 + 0.0988829i
\(689\) −10.2267 + 1.07487i −0.389608 + 0.0409494i
\(690\) 10.9328 + 4.48940i 0.416204 + 0.170908i
\(691\) 2.30335 21.9149i 0.0876236 0.833683i −0.859137 0.511745i \(-0.828999\pi\)
0.946761 0.321938i \(-0.104334\pi\)
\(692\) 9.39701 + 8.46111i 0.357221 + 0.321643i
\(693\) 1.99618 0.116860i 0.0758285 0.00443914i
\(694\) 5.98415 28.1532i 0.227155 1.06868i
\(695\) −4.39573 + 0.934341i −0.166739 + 0.0354416i
\(696\) 10.9308 + 14.1555i 0.414331 + 0.536561i
\(697\) −8.59184 2.79166i −0.325439 0.105742i
\(698\) −14.7136 4.78073i −0.556917 0.180953i
\(699\) 27.7640 + 35.9545i 1.05013 + 1.35993i
\(700\) 1.14577 0.243541i 0.0433060 0.00920498i
\(701\) −8.94605 + 42.0878i −0.337888 + 1.58964i 0.401176 + 0.916001i \(0.368601\pi\)
−0.739064 + 0.673635i \(0.764732\pi\)
\(702\) 10.6846 3.27183i 0.403265 0.123487i
\(703\) −4.20505 3.78624i −0.158597 0.142801i
\(704\) −0.0594788 + 0.565903i −0.00224169 + 0.0213283i
\(705\) −0.687816 0.282442i −0.0259046 0.0106374i
\(706\) 7.60882 0.799720i 0.286362 0.0300978i
\(707\) −16.1379 9.31721i −0.606927 0.350410i
\(708\) −4.74847 + 4.53381i −0.178459 + 0.170391i
\(709\) −22.8863 31.5003i −0.859512 1.18302i −0.981686 0.190508i \(-0.938986\pi\)
0.122173 0.992509i \(-0.461014\pi\)
\(710\) −7.56646 + 6.81287i −0.283964 + 0.255682i
\(711\) −1.79459 + 1.81667i −0.0673024 + 0.0681306i
\(712\) 13.1038i 0.491084i
\(713\) 8.51123 + 37.0260i 0.318748 + 1.38664i
\(714\) −2.62604 10.7927i −0.0982769 0.403908i
\(715\) 0.378138 + 1.16379i 0.0141416 + 0.0435232i
\(716\) −3.26865 3.63021i −0.122155 0.135667i
\(717\) 16.5669 19.5179i 0.618702 0.728908i
\(718\) −2.64071 4.57385i −0.0985505 0.170694i
\(719\) 20.4449 35.4115i 0.762464 1.32063i −0.179113 0.983829i \(-0.557323\pi\)
0.941577 0.336798i \(-0.109344\pi\)
\(720\) −2.50597 + 1.64927i −0.0933921 + 0.0614648i
\(721\) −4.08865 2.97058i −0.152269 0.110630i
\(722\) −5.52987 0.581213i −0.205801 0.0216305i
\(723\) 4.61518 + 2.48760i 0.171641 + 0.0925148i
\(724\) 5.12132 11.5027i 0.190332 0.427493i
\(725\) −10.1000 2.14683i −0.375106 0.0797313i
\(726\) 8.01190 + 16.6660i 0.297349 + 0.618532i
\(727\) 4.72429 2.10339i 0.175214 0.0780104i −0.317255 0.948340i \(-0.602761\pi\)
0.492469 + 0.870330i \(0.336094\pi\)
\(728\) −0.778422 + 2.39574i −0.0288502 + 0.0887919i
\(729\) −24.2780 11.8144i −0.899185 0.437569i
\(730\) 1.02323 + 2.29822i 0.0378715 + 0.0850609i
\(731\) 5.90462 + 27.7791i 0.218390 + 1.02745i
\(732\) 0.286746 + 9.80467i 0.0105985 + 0.362391i
\(733\) 24.7784 + 11.0320i 0.915209 + 0.407477i 0.809635 0.586934i \(-0.199665\pi\)
0.105575 + 0.994411i \(0.466332\pi\)
\(734\) −3.32443 + 3.69215i −0.122707 + 0.136280i
\(735\) 9.66048 1.30189i 0.356332 0.0480209i
\(736\) 4.01076 5.52033i 0.147838 0.203482i
\(737\) −0.725681 6.90440i −0.0267308 0.254327i
\(738\) 0.228844 4.94503i 0.00842388 0.182029i
\(739\) 12.4505 7.18833i 0.458001 0.264427i −0.253203 0.967413i \(-0.581484\pi\)
0.711203 + 0.702986i \(0.248151\pi\)
\(740\) 1.24871 0.907240i 0.0459034 0.0333508i
\(741\) 7.69989 11.2771i 0.282863 0.414275i
\(742\) −5.32699 + 1.73084i −0.195560 + 0.0635413i
\(743\) −35.0045 −1.28419 −0.642096 0.766624i \(-0.721935\pi\)
−0.642096 + 0.766624i \(0.721935\pi\)
\(744\) −8.98006 3.51546i −0.329225 0.128883i
\(745\) 17.8787 0.655025
\(746\) −31.5715 + 10.2582i −1.15592 + 0.375580i
\(747\) 9.36814 + 3.53052i 0.342762 + 0.129175i
\(748\) −2.52031 + 1.83111i −0.0921515 + 0.0669520i
\(749\) 4.70312 2.71535i 0.171848 0.0992167i
\(750\) 0.486849 1.66222i 0.0177772 0.0606957i
\(751\) 2.35946 + 22.4487i 0.0860978 + 0.819166i 0.949314 + 0.314331i \(0.101780\pi\)
−0.863216 + 0.504835i \(0.831553\pi\)
\(752\) −0.252329 + 0.347301i −0.00920149 + 0.0126648i
\(753\) 2.94222 + 21.8324i 0.107221 + 0.795615i
\(754\) 14.8583 16.5018i 0.541108 0.600962i
\(755\) −0.675520 0.300761i −0.0245847 0.0109458i
\(756\) 5.32214 2.95322i 0.193564 0.107407i
\(757\) −2.59886 12.2267i −0.0944572 0.444386i −0.999806 0.0197166i \(-0.993724\pi\)
0.905348 0.424670i \(-0.139610\pi\)
\(758\) 8.08336 + 18.1555i 0.293601 + 0.659438i
\(759\) −0.507140 + 6.70591i −0.0184080 + 0.243409i
\(760\) −1.13286 + 3.48659i −0.0410932 + 0.126472i
\(761\) −8.95391 + 3.98654i −0.324579 + 0.144512i −0.562557 0.826759i \(-0.690182\pi\)
0.237978 + 0.971271i \(0.423516\pi\)
\(762\) 23.6235 11.3566i 0.855790 0.411407i
\(763\) 1.15431 + 0.245355i 0.0417887 + 0.00888245i
\(764\) −7.43789 + 16.7058i −0.269093 + 0.604394i
\(765\) −15.8904 4.15385i −0.574520 0.150183i
\(766\) −16.5719 1.74177i −0.598766 0.0629328i
\(767\) 6.59467 + 4.79131i 0.238120 + 0.173004i
\(768\) 0.583160 + 1.63093i 0.0210430 + 0.0588510i
\(769\) −10.5137 + 18.2102i −0.379133 + 0.656678i −0.990936 0.134332i \(-0.957111\pi\)
0.611803 + 0.791010i \(0.290444\pi\)
\(770\) 0.333266 + 0.577233i 0.0120101 + 0.0208020i
\(771\) −12.1584 10.3201i −0.437874 0.371670i
\(772\) −10.5905 11.7619i −0.381159 0.423320i
\(773\) 11.0955 + 34.1484i 0.399077 + 1.22823i 0.925741 + 0.378159i