Properties

Label 605.2.s.b.16.5
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.5
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.72317 - 0.197715i) q^{2} +(-2.49016 - 1.80921i) q^{3} +(0.982201 + 0.228401i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(3.93327 + 3.60992i) q^{6} +(-0.450743 - 0.463803i) q^{7} +(1.61987 + 0.577969i) q^{8} +(2.00063 + 6.15729i) q^{9} +O(q^{10})\) \(q+(-1.72317 - 0.197715i) q^{2} +(-2.49016 - 1.80921i) q^{3} +(0.982201 + 0.228401i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(3.93327 + 3.60992i) q^{6} +(-0.450743 - 0.463803i) q^{7} +(1.61987 + 0.577969i) q^{8} +(2.00063 + 6.15729i) q^{9} +(1.13584 - 1.31083i) q^{10} +(-3.30875 + 0.228440i) q^{11} +(-2.03262 - 2.34577i) q^{12} +(3.16457 - 5.24785i) q^{13} +(0.685005 + 0.888331i) q^{14} +(2.89901 - 1.03436i) q^{15} +(-4.48693 - 2.20607i) q^{16} +(5.35056 - 4.37513i) q^{17} +(-2.23003 - 11.0056i) q^{18} +(6.34879 + 0.363037i) q^{19} +(-0.742936 + 0.681860i) q^{20} +(0.283306 + 1.97044i) q^{21} +(5.74670 + 0.260550i) q^{22} +(-0.520462 + 3.61989i) q^{23} +(-2.98808 - 4.36993i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-6.49067 + 8.41725i) q^{26} +(3.30448 - 10.1701i) q^{27} +(-0.336787 - 0.558498i) q^{28} +(-1.60283 + 4.11683i) q^{29} +(-5.20000 + 1.20921i) q^{30} +(-2.52903 - 1.06878i) q^{31} +(4.40184 + 2.82889i) q^{32} +(8.65262 + 5.41737i) q^{33} +(-10.0849 + 6.48120i) q^{34} +(0.637275 - 0.110285i) q^{35} +(0.558685 + 6.50465i) q^{36} +(0.144073 - 1.67741i) q^{37} +(-10.8683 - 1.88083i) q^{38} +(-17.3747 + 7.34263i) q^{39} +(-1.39142 + 1.01093i) q^{40} +(7.86724 - 4.44284i) q^{41} +(-0.0985988 - 3.45141i) q^{42} +(-11.4490 + 3.36173i) q^{43} +(-3.30203 - 0.531348i) q^{44} +(-6.21191 - 1.82398i) q^{45} +(1.61255 - 6.13479i) q^{46} +(0.567507 - 2.80076i) q^{47} +(7.18194 + 13.6113i) q^{48} +(0.187948 - 6.57903i) q^{49} +(0.440936 + 1.67749i) q^{50} +(-21.2393 + 1.21451i) q^{51} +(4.30686 - 4.43165i) q^{52} +(-8.37901 + 4.11968i) q^{53} +(-7.70497 + 16.8715i) q^{54} +(1.67903 - 2.86022i) q^{55} +(-0.462081 - 1.01182i) q^{56} +(-15.1527 - 12.3903i) q^{57} +(3.57591 - 6.77710i) q^{58} +(2.88014 + 1.62649i) q^{59} +(3.08366 - 0.353817i) q^{60} +(3.61620 - 0.414920i) q^{61} +(4.14664 + 2.34172i) q^{62} +(1.95401 - 3.70325i) q^{63} +(0.715507 + 0.585067i) q^{64} +(2.54573 + 5.57437i) q^{65} +(-13.8388 - 11.0458i) q^{66} +(1.87445 - 4.10448i) q^{67} +(6.25461 - 3.07518i) q^{68} +(7.84519 - 8.07251i) q^{69} +(-1.11994 + 0.0640404i) q^{70} +(0.443070 + 1.68561i) q^{71} +(-0.317968 + 11.1303i) q^{72} +(-3.58129 - 6.78730i) q^{73} +(-0.579912 + 2.86198i) q^{74} +(-0.782487 + 2.97689i) q^{75} +(6.15288 + 1.80665i) q^{76} +(1.59735 + 1.43164i) q^{77} +(31.3914 - 9.21735i) q^{78} +(0.248705 + 8.70581i) q^{79} +(4.35367 - 2.45863i) q^{80} +(-10.9155 + 7.93057i) q^{81} +(-14.4350 + 6.10029i) q^{82} +(-9.88434 - 1.71055i) q^{83} +(-0.171786 + 2.00007i) q^{84} +(0.591460 + 6.88624i) q^{85} +(20.3933 - 3.52919i) q^{86} +(11.4395 - 7.35173i) q^{87} +(-5.49178 - 1.54231i) q^{88} +(-3.61163 - 2.32105i) q^{89} +(10.3436 + 4.37122i) q^{90} +(-3.86037 + 0.897691i) q^{91} +(-1.33799 + 3.43659i) q^{92} +(4.36406 + 7.23699i) q^{93} +(-1.53166 + 4.71398i) q^{94} +(-3.88321 + 5.03584i) q^{95} +(-5.84324 - 15.0082i) q^{96} +(-3.91685 - 5.72821i) q^{97} +(-1.62464 + 11.2996i) q^{98} +(-8.02614 - 19.9159i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.72317 0.197715i −1.21847 0.139806i −0.519190 0.854659i \(-0.673766\pi\)
−0.699275 + 0.714853i \(0.746494\pi\)
\(3\) −2.49016 1.80921i −1.43770 1.04455i −0.988517 0.151107i \(-0.951716\pi\)
−0.449180 0.893441i \(-0.648284\pi\)
\(4\) 0.982201 + 0.228401i 0.491101 + 0.114201i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 3.93327 + 3.60992i 1.60575 + 1.47374i
\(7\) −0.450743 0.463803i −0.170365 0.175301i 0.626573 0.779363i \(-0.284457\pi\)
−0.796938 + 0.604062i \(0.793548\pi\)
\(8\) 1.61987 + 0.577969i 0.572711 + 0.204343i
\(9\) 2.00063 + 6.15729i 0.666875 + 2.05243i
\(10\) 1.13584 1.31083i 0.359184 0.414521i
\(11\) −3.30875 + 0.228440i −0.997625 + 0.0688772i
\(12\) −2.03262 2.34577i −0.586766 0.677164i
\(13\) 3.16457 5.24785i 0.877693 1.45549i −0.0125077 0.999922i \(-0.503981\pi\)
0.890201 0.455569i \(-0.150564\pi\)
\(14\) 0.685005 + 0.888331i 0.183075 + 0.237416i
\(15\) 2.89901 1.03436i 0.748521 0.267072i
\(16\) −4.48693 2.20607i −1.12173 0.551519i
\(17\) 5.35056 4.37513i 1.29770 1.06112i 0.303584 0.952805i \(-0.401817\pi\)
0.994116 0.108320i \(-0.0345470\pi\)
\(18\) −2.23003 11.0056i −0.525623 2.59405i
\(19\) 6.34879 + 0.363037i 1.45651 + 0.0832864i 0.767308 0.641279i \(-0.221596\pi\)
0.689206 + 0.724566i \(0.257960\pi\)
\(20\) −0.742936 + 0.681860i −0.166125 + 0.152469i
\(21\) 0.283306 + 1.97044i 0.0618224 + 0.429984i
\(22\) 5.74670 + 0.260550i 1.22520 + 0.0555494i
\(23\) −0.520462 + 3.61989i −0.108524 + 0.754800i 0.860788 + 0.508964i \(0.169972\pi\)
−0.969311 + 0.245836i \(0.920938\pi\)
\(24\) −2.98808 4.36993i −0.609939 0.892008i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −6.49067 + 8.41725i −1.27292 + 1.65076i
\(27\) 3.30448 10.1701i 0.635947 1.95724i
\(28\) −0.336787 0.558498i −0.0636467 0.105546i
\(29\) −1.60283 + 4.11683i −0.297638 + 0.764476i 0.701043 + 0.713119i \(0.252718\pi\)
−0.998680 + 0.0513568i \(0.983645\pi\)
\(30\) −5.20000 + 1.20921i −0.949385 + 0.220770i
\(31\) −2.52903 1.06878i −0.454228 0.191958i 0.150138 0.988665i \(-0.452028\pi\)
−0.604366 + 0.796707i \(0.706574\pi\)
\(32\) 4.40184 + 2.82889i 0.778142 + 0.500082i
\(33\) 8.65262 + 5.41737i 1.50623 + 0.943043i
\(34\) −10.0849 + 6.48120i −1.72955 + 1.11152i
\(35\) 0.637275 0.110285i 0.107719 0.0186415i
\(36\) 0.558685 + 6.50465i 0.0931141 + 1.08411i
\(37\) 0.144073 1.67741i 0.0236854 0.275765i −0.974902 0.222634i \(-0.928535\pi\)
0.998588 0.0531307i \(-0.0169200\pi\)
\(38\) −10.8683 1.88083i −1.76307 0.305111i
\(39\) −17.3747 + 7.34263i −2.78219 + 1.17576i
\(40\) −1.39142 + 1.01093i −0.220003 + 0.159842i
\(41\) 7.86724 4.44284i 1.22866 0.693855i 0.265842 0.964017i \(-0.414350\pi\)
0.962815 + 0.270162i \(0.0870772\pi\)
\(42\) −0.0985988 3.45141i −0.0152141 0.532564i
\(43\) −11.4490 + 3.36173i −1.74596 + 0.512659i −0.989890 0.141836i \(-0.954700\pi\)
−0.756066 + 0.654495i \(0.772881\pi\)
\(44\) −3.30203 0.531348i −0.497800 0.0801037i
\(45\) −6.21191 1.82398i −0.926017 0.271903i
\(46\) 1.61255 6.13479i 0.237758 0.904526i
\(47\) 0.567507 2.80076i 0.0827794 0.408533i −0.917170 0.398496i \(-0.869532\pi\)
0.999950 0.0100369i \(-0.00319488\pi\)
\(48\) 7.18194 + 13.6113i 1.03662 + 1.96462i
\(49\) 0.187948 6.57903i 0.0268497 0.939862i
\(50\) 0.440936 + 1.67749i 0.0623577 + 0.237233i
\(51\) −21.2393 + 1.21451i −2.97410 + 0.170065i
\(52\) 4.30686 4.43165i 0.597253 0.614559i
\(53\) −8.37901 + 4.11968i −1.15095 + 0.565882i −0.914029 0.405648i \(-0.867046\pi\)
−0.236916 + 0.971530i \(0.576137\pi\)
\(54\) −7.70497 + 16.8715i −1.04851 + 2.29593i
\(55\) 1.67903 2.86022i 0.226400 0.385672i
\(56\) −0.462081 1.01182i −0.0617482 0.135210i
\(57\) −15.1527 12.3903i −2.00703 1.64114i
\(58\) 3.57591 6.77710i 0.469539 0.889876i
\(59\) 2.88014 + 1.62649i 0.374962 + 0.211751i 0.667681 0.744448i \(-0.267287\pi\)
−0.292719 + 0.956199i \(0.594560\pi\)
\(60\) 3.08366 0.353817i 0.398099 0.0456776i
\(61\) 3.61620 0.414920i 0.463007 0.0531250i 0.120650 0.992695i \(-0.461502\pi\)
0.342357 + 0.939570i \(0.388775\pi\)
\(62\) 4.14664 + 2.34172i 0.526624 + 0.297398i
\(63\) 1.95401 3.70325i 0.246182 0.466566i
\(64\) 0.715507 + 0.585067i 0.0894384 + 0.0731334i
\(65\) 2.54573 + 5.57437i 0.315759 + 0.691416i
\(66\) −13.8388 11.0458i −1.70344 1.35964i
\(67\) 1.87445 4.10448i 0.229001 0.501442i −0.759896 0.650044i \(-0.774750\pi\)
0.988897 + 0.148603i \(0.0474776\pi\)
\(68\) 6.25461 3.07518i 0.758482 0.372921i
\(69\) 7.84519 8.07251i 0.944450 0.971816i
\(70\) −1.11994 + 0.0640404i −0.133858 + 0.00765429i
\(71\) 0.443070 + 1.68561i 0.0525828 + 0.200046i 0.988252 0.152832i \(-0.0488395\pi\)
−0.935669 + 0.352878i \(0.885203\pi\)
\(72\) −0.317968 + 11.1303i −0.0374729 + 1.31172i
\(73\) −3.58129 6.78730i −0.419158 0.794393i 0.580646 0.814156i \(-0.302800\pi\)
−0.999805 + 0.0197625i \(0.993709\pi\)
\(74\) −0.579912 + 2.86198i −0.0674134 + 0.332698i
\(75\) −0.782487 + 2.97689i −0.0903538 + 0.343742i
\(76\) 6.15288 + 1.80665i 0.705783 + 0.207237i
\(77\) 1.59735 + 1.43164i 0.182034 + 0.163151i
\(78\) 31.3914 9.21735i 3.55438 1.04366i
\(79\) 0.248705 + 8.70581i 0.0279815 + 0.979480i 0.885391 + 0.464846i \(0.153890\pi\)
−0.857410 + 0.514634i \(0.827928\pi\)
\(80\) 4.35367 2.45863i 0.486755 0.274883i
\(81\) −10.9155 + 7.93057i −1.21283 + 0.881175i
\(82\) −14.4350 + 6.10029i −1.59408 + 0.673664i
\(83\) −9.88434 1.71055i −1.08495 0.187757i −0.400120 0.916463i \(-0.631031\pi\)
−0.684827 + 0.728705i \(0.740122\pi\)
\(84\) −0.171786 + 2.00007i −0.0187434 + 0.218226i
\(85\) 0.591460 + 6.88624i 0.0641528 + 0.746918i
\(86\) 20.3933 3.52919i 2.19906 0.380562i
\(87\) 11.4395 7.35173i 1.22644 0.788188i
\(88\) −5.49178 1.54231i −0.585426 0.164411i
\(89\) −3.61163 2.32105i −0.382832 0.246031i 0.335044 0.942203i \(-0.391249\pi\)
−0.717875 + 0.696172i \(0.754885\pi\)
\(90\) 10.3436 + 4.37122i 1.09031 + 0.460767i
\(91\) −3.86037 + 0.897691i −0.404677 + 0.0941036i
\(92\) −1.33799 + 3.43659i −0.139495 + 0.358289i
\(93\) 4.36406 + 7.23699i 0.452532 + 0.750441i
\(94\) −1.53166 + 4.71398i −0.157979 + 0.486210i
\(95\) −3.88321 + 5.03584i −0.398409 + 0.516666i
\(96\) −5.84324 15.0082i −0.596373 1.53177i
\(97\) −3.91685 5.72821i −0.397696 0.581612i 0.573704 0.819063i \(-0.305506\pi\)
−0.971399 + 0.237451i \(0.923688\pi\)
\(98\) −1.62464 + 11.2996i −0.164114 + 1.14144i
\(99\) −8.02614 19.9159i −0.806657 2.00162i
\(100\) −0.143511 0.998144i −0.0143511 0.0998144i
\(101\) −5.08105 + 4.66335i −0.505584 + 0.464021i −0.887917 0.460004i \(-0.847848\pi\)
0.382333 + 0.924025i \(0.375121\pi\)
\(102\) 36.8390 + 2.10653i 3.64761 + 0.208578i
\(103\) −3.10343 15.3160i −0.305790 1.50913i −0.778348 0.627833i \(-0.783942\pi\)
0.472558 0.881300i \(-0.343331\pi\)
\(104\) 8.15928 6.67181i 0.800084 0.654225i
\(105\) −1.78645 0.878338i −0.174340 0.0857170i
\(106\) 15.2530 5.44225i 1.48150 0.528599i
\(107\) −4.65291 6.03400i −0.449814 0.583329i 0.511327 0.859386i \(-0.329154\pi\)
−0.961141 + 0.276057i \(0.910972\pi\)
\(108\) 5.56853 9.23438i 0.535833 0.888578i
\(109\) −7.13351 8.23251i −0.683266 0.788531i 0.303124 0.952951i \(-0.401970\pi\)
−0.986390 + 0.164420i \(0.947425\pi\)
\(110\) −3.45876 + 4.59668i −0.329780 + 0.438276i
\(111\) −3.39355 + 3.91637i −0.322102 + 0.371725i
\(112\) 0.999266 + 3.07542i 0.0944218 + 0.290600i
\(113\) 17.6487 + 6.29704i 1.66025 + 0.592376i 0.988876 0.148744i \(-0.0475230\pi\)
0.671373 + 0.741119i \(0.265705\pi\)
\(114\) 23.6610 + 24.3466i 2.21605 + 2.28027i
\(115\) −2.69435 2.47285i −0.251249 0.230595i
\(116\) −2.51459 + 3.67747i −0.233474 + 0.341444i
\(117\) 38.6436 + 8.98619i 3.57261 + 0.830774i
\(118\) −4.64139 3.37217i −0.427274 0.310433i
\(119\) −4.44092 0.509548i −0.407099 0.0467102i
\(120\) 5.29385 0.483260
\(121\) 10.8956 1.51170i 0.990512 0.137427i
\(122\) −6.31336 −0.571585
\(123\) −27.6288 3.17011i −2.49120 0.285839i
\(124\) −2.23991 1.62739i −0.201150 0.146144i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) −4.09928 + 5.99500i −0.365192 + 0.534077i
\(127\) −5.43281 4.98619i −0.482084 0.442453i 0.397919 0.917421i \(-0.369732\pi\)
−0.880003 + 0.474968i \(0.842460\pi\)
\(128\) −8.41068 8.65438i −0.743406 0.764947i
\(129\) 34.5920 + 12.3424i 3.04565 + 1.08669i
\(130\) −3.28459 10.1089i −0.288077 0.886611i
\(131\) −6.31042 + 7.28261i −0.551344 + 0.636285i −0.961196 0.275867i \(-0.911035\pi\)
0.409852 + 0.912152i \(0.365580\pi\)
\(132\) 7.26129 + 7.29722i 0.632014 + 0.635141i
\(133\) −2.69329 3.10823i −0.233538 0.269518i
\(134\) −4.04152 + 6.70210i −0.349134 + 0.578974i
\(135\) 6.52997 + 8.46822i 0.562011 + 0.728828i
\(136\) 11.1959 3.99469i 0.960041 0.342542i
\(137\) −1.67142 0.821783i −0.142799 0.0702097i 0.368423 0.929658i \(-0.379898\pi\)
−0.511222 + 0.859449i \(0.670807\pi\)
\(138\) −15.1147 + 12.3592i −1.28664 + 1.05208i
\(139\) −3.83009 18.9023i −0.324864 1.60327i −0.726298 0.687380i \(-0.758761\pi\)
0.401433 0.915888i \(-0.368512\pi\)
\(140\) 0.651122 + 0.0372325i 0.0550298 + 0.00314672i
\(141\) −6.48035 + 5.94761i −0.545744 + 0.500879i
\(142\) −0.430214 2.99220i −0.0361027 0.251100i
\(143\) −9.27194 + 18.0867i −0.775358 + 1.51249i
\(144\) 4.60678 32.0409i 0.383899 2.67007i
\(145\) −2.49362 3.64681i −0.207084 0.302851i
\(146\) 4.82922 + 12.4038i 0.399669 + 1.02654i
\(147\) −12.3709 + 16.0428i −1.02033 + 1.32319i
\(148\) 0.524631 1.61465i 0.0431244 0.132723i
\(149\) −6.99565 11.6010i −0.573106 0.950390i −0.998960 0.0455979i \(-0.985481\pi\)
0.425854 0.904792i \(-0.359974\pi\)
\(150\) 1.93694 4.97498i 0.158150 0.406205i
\(151\) 19.2895 4.48559i 1.56976 0.365032i 0.650759 0.759285i \(-0.274451\pi\)
0.919002 + 0.394253i \(0.128996\pi\)
\(152\) 10.0744 + 4.25748i 0.817142 + 0.345327i
\(153\) 37.6434 + 24.1920i 3.04329 + 1.95580i
\(154\) −2.46944 2.78278i −0.198993 0.224243i
\(155\) 2.30974 1.48438i 0.185523 0.119228i
\(156\) −18.7426 + 3.24353i −1.50061 + 0.259690i
\(157\) −1.15767 13.4786i −0.0923925 1.07571i −0.884880 0.465818i \(-0.845760\pi\)
0.792488 0.609888i \(-0.208785\pi\)
\(158\) 1.29271 15.0508i 0.102843 1.19737i
\(159\) 28.3185 + 4.90071i 2.24580 + 0.388651i
\(160\) −4.81975 + 2.03685i −0.381035 + 0.161027i
\(161\) 1.91351 1.39025i 0.150806 0.109567i
\(162\) 20.3773 11.5076i 1.60099 0.904120i
\(163\) 0.116250 + 4.06928i 0.00910541 + 0.318731i 0.991359 + 0.131175i \(0.0418749\pi\)
−0.982254 + 0.187556i \(0.939943\pi\)
\(164\) 8.74197 2.56687i 0.682633 0.200439i
\(165\) −9.35580 + 4.08470i −0.728348 + 0.317993i
\(166\) 16.6942 + 4.90186i 1.29572 + 0.380458i
\(167\) −0.804347 + 3.06005i −0.0622422 + 0.236794i −0.990994 0.133909i \(-0.957247\pi\)
0.928751 + 0.370703i \(0.120883\pi\)
\(168\) −0.679931 + 3.35559i −0.0524578 + 0.258890i
\(169\) −11.4587 21.7167i −0.881440 1.67051i
\(170\) 0.342330 11.9831i 0.0262555 0.919063i
\(171\) 10.4662 + 39.8177i 0.800373 + 3.04494i
\(172\) −12.0130 + 0.686931i −0.915986 + 0.0523780i
\(173\) −7.05282 + 7.25718i −0.536216 + 0.551753i −0.930052 0.367428i \(-0.880239\pi\)
0.393836 + 0.919181i \(0.371148\pi\)
\(174\) −21.1658 + 10.4065i −1.60457 + 0.788916i
\(175\) −0.268669 + 0.588302i −0.0203094 + 0.0444715i
\(176\) 15.3501 + 6.27435i 1.15706 + 0.472947i
\(177\) −4.22936 9.26100i −0.317898 0.696100i
\(178\) 5.76454 + 4.71364i 0.432071 + 0.353303i
\(179\) 0.149283 0.282923i 0.0111579 0.0211467i −0.878791 0.477207i \(-0.841649\pi\)
0.889949 + 0.456061i \(0.150740\pi\)
\(180\) −5.68475 3.21033i −0.423716 0.239284i
\(181\) −15.3266 + 1.75856i −1.13922 + 0.130713i −0.663003 0.748616i \(-0.730719\pi\)
−0.476214 + 0.879329i \(0.657991\pi\)
\(182\) 6.82957 0.783620i 0.506241 0.0580858i
\(183\) −9.75560 5.50924i −0.721155 0.407255i
\(184\) −2.93527 + 5.56295i −0.216391 + 0.410106i
\(185\) 1.30333 + 1.06573i 0.0958230 + 0.0783541i
\(186\) −6.08916 13.3334i −0.446479 0.977653i
\(187\) −16.7042 + 15.6985i −1.22153 + 1.14799i
\(188\) 1.19710 2.62129i 0.0873077 0.191177i
\(189\) −6.20641 + 3.05149i −0.451450 + 0.221963i
\(190\) 7.68710 7.90984i 0.557681 0.573840i
\(191\) −8.07889 + 0.461967i −0.584568 + 0.0334268i −0.346871 0.937913i \(-0.612756\pi\)
−0.237696 + 0.971340i \(0.576392\pi\)
\(192\) −0.723221 2.75142i −0.0521940 0.198566i
\(193\) −0.387951 + 13.5800i −0.0279253 + 0.977513i 0.857990 + 0.513666i \(0.171713\pi\)
−0.885915 + 0.463847i \(0.846469\pi\)
\(194\) 5.61684 + 10.6451i 0.403266 + 0.764274i
\(195\) 3.74592 18.4869i 0.268251 1.32387i
\(196\) 1.68726 6.41901i 0.120519 0.458501i
\(197\) 11.7548 + 3.45151i 0.837492 + 0.245910i 0.672232 0.740340i \(-0.265336\pi\)
0.165260 + 0.986250i \(0.447154\pi\)
\(198\) 9.89273 + 35.9054i 0.703045 + 2.55169i
\(199\) 4.72290 1.38677i 0.334798 0.0983055i −0.110013 0.993930i \(-0.535089\pi\)
0.444811 + 0.895625i \(0.353271\pi\)
\(200\) −0.0491134 1.71919i −0.00347284 0.121565i
\(201\) −12.0936 + 6.82954i −0.853014 + 0.481719i
\(202\) 9.67754 7.03114i 0.680909 0.494709i
\(203\) 2.63186 1.11223i 0.184720 0.0780635i
\(204\) −21.1387 3.65819i −1.48000 0.256124i
\(205\) −0.773175 + 9.00192i −0.0540009 + 0.628721i
\(206\) 2.31952 + 27.0057i 0.161609 + 1.88158i
\(207\) −23.3300 + 4.03742i −1.62155 + 0.280620i
\(208\) −25.7763 + 16.5654i −1.78727 + 1.14861i
\(209\) −21.0895 + 0.249119i −1.45879 + 0.0172319i
\(210\) 2.90469 + 1.86673i 0.200443 + 0.128817i
\(211\) −2.72533 1.15173i −0.187619 0.0792885i 0.293437 0.955979i \(-0.405201\pi\)
−0.481056 + 0.876690i \(0.659747\pi\)
\(212\) −9.17081 + 2.13258i −0.629854 + 0.146466i
\(213\) 1.94631 4.99906i 0.133359 0.342530i
\(214\) 6.82475 + 11.3176i 0.466530 + 0.773653i
\(215\) 3.68730 11.3483i 0.251472 0.773950i
\(216\) 11.2309 14.5644i 0.764163 0.990984i
\(217\) 0.644240 + 1.65472i 0.0437339 + 0.112330i
\(218\) 10.6646 + 15.5964i 0.722295 + 1.05632i
\(219\) −3.36165 + 23.3808i −0.227159 + 1.57993i
\(220\) 2.30242 2.42582i 0.155229 0.163549i
\(221\) −6.02780 41.9243i −0.405474 2.82013i
\(222\) 6.62200 6.07761i 0.444439 0.407903i
\(223\) −6.13275 0.350683i −0.410679 0.0234835i −0.149471 0.988766i \(-0.547757\pi\)
−0.261208 + 0.965283i \(0.584121\pi\)
\(224\) −0.672048 3.31669i −0.0449031 0.221605i
\(225\) 5.01192 4.09823i 0.334128 0.273215i
\(226\) −29.1667 14.3403i −1.94014 0.953902i
\(227\) 22.4778 8.02005i 1.49190 0.532309i 0.540790 0.841158i \(-0.318125\pi\)
0.951111 + 0.308848i \(0.0999436\pi\)
\(228\) −12.0531 15.6307i −0.798234 1.03517i
\(229\) −2.15530 + 3.57416i −0.142426 + 0.236187i −0.919380 0.393370i \(-0.871309\pi\)
0.776954 + 0.629557i \(0.216764\pi\)
\(230\) 4.15390 + 4.79386i 0.273900 + 0.316098i
\(231\) −1.38751 6.45496i −0.0912917 0.424705i
\(232\) −4.97577 + 5.74235i −0.326676 + 0.377004i
\(233\) 1.58993 + 4.89330i 0.104160 + 0.320571i 0.989532 0.144311i \(-0.0460967\pi\)
−0.885373 + 0.464882i \(0.846097\pi\)
\(234\) −64.8129 23.1252i −4.23695 1.51174i
\(235\) 1.99162 + 2.04933i 0.129919 + 0.133684i
\(236\) 2.45738 + 2.25537i 0.159962 + 0.146812i
\(237\) 15.1313 22.1289i 0.982885 1.43742i
\(238\) 7.55172 + 1.75608i 0.489505 + 0.113830i
\(239\) 2.69667 + 1.95924i 0.174433 + 0.126733i 0.671576 0.740936i \(-0.265618\pi\)
−0.497143 + 0.867669i \(0.665618\pi\)
\(240\) −15.2895 1.75431i −0.986935 0.113240i
\(241\) 14.5957 0.940192 0.470096 0.882615i \(-0.344219\pi\)
0.470096 + 0.882615i \(0.344219\pi\)
\(242\) −19.0739 + 0.450683i −1.22612 + 0.0289710i
\(243\) 9.44891 0.606148
\(244\) 3.64660 + 0.418408i 0.233450 + 0.0267859i
\(245\) 5.32472 + 3.86864i 0.340184 + 0.247158i
\(246\) 46.9823 + 10.9253i 2.99548 + 0.696569i
\(247\) 21.9963 32.1686i 1.39959 2.04684i
\(248\) −3.47899 3.19299i −0.220916 0.202755i
\(249\) 21.5189 + 22.1424i 1.36370 + 1.40322i
\(250\) −1.63361 0.582870i −0.103318 0.0368639i
\(251\) −9.22342 28.3868i −0.582177 1.79176i −0.610322 0.792153i \(-0.708960\pi\)
0.0281451 0.999604i \(-0.491040\pi\)
\(252\) 2.76505 3.19104i 0.174182 0.201017i
\(253\) 0.895150 12.0962i 0.0562776 0.760482i
\(254\) 8.37582 + 9.66621i 0.525545 + 0.606512i
\(255\) 10.9858 18.2180i 0.687960 1.14085i
\(256\) 11.6531 + 15.1121i 0.728321 + 0.944503i
\(257\) −13.3206 + 4.75277i −0.830914 + 0.296469i −0.717045 0.697026i \(-0.754506\pi\)
−0.113868 + 0.993496i \(0.536324\pi\)
\(258\) −57.1676 28.1074i −3.55910 1.74989i
\(259\) −0.842928 + 0.689259i −0.0523770 + 0.0428285i
\(260\) 1.22723 + 6.05660i 0.0761094 + 0.375615i
\(261\) −28.5552 1.63284i −1.76752 0.101071i
\(262\) 12.3138 11.3015i 0.760750 0.698210i
\(263\) −3.64171 25.3287i −0.224558 1.56183i −0.720486 0.693469i \(-0.756081\pi\)
0.495929 0.868363i \(-0.334828\pi\)
\(264\) 10.8851 + 13.7764i 0.669930 + 0.847878i
\(265\) 1.32879 9.24196i 0.0816272 0.567729i
\(266\) 4.02646 + 5.88851i 0.246878 + 0.361048i
\(267\) 4.79428 + 12.3140i 0.293405 + 0.753604i
\(268\) 2.77856 3.60329i 0.169727 0.220106i
\(269\) 1.24843 3.84227i 0.0761181 0.234267i −0.905757 0.423798i \(-0.860697\pi\)
0.981875 + 0.189531i \(0.0606966\pi\)
\(270\) −9.57796 15.8833i −0.582896 0.966625i
\(271\) −5.16963 + 13.2781i −0.314033 + 0.806587i 0.683058 + 0.730364i \(0.260650\pi\)
−0.997091 + 0.0762226i \(0.975714\pi\)
\(272\) −33.6594 + 7.82716i −2.04090 + 0.474591i
\(273\) 11.2371 + 4.74883i 0.680099 + 0.287412i
\(274\) 2.71767 + 1.74654i 0.164180 + 0.105512i
\(275\) 1.41331 + 3.00042i 0.0852261 + 0.180932i
\(276\) 9.54932 6.13698i 0.574802 0.369403i
\(277\) −3.33420 + 0.577006i −0.200333 + 0.0346690i −0.269805 0.962915i \(-0.586959\pi\)
0.0694724 + 0.997584i \(0.477868\pi\)
\(278\) 2.86264 + 33.3291i 0.171690 + 1.99895i
\(279\) 1.52113 17.7102i 0.0910678 1.06028i
\(280\) 1.09605 + 0.189678i 0.0655012 + 0.0113354i
\(281\) −14.5892 + 6.16546i −0.870321 + 0.367801i −0.778252 0.627952i \(-0.783893\pi\)
−0.0920688 + 0.995753i \(0.529348\pi\)
\(282\) 12.3427 8.96748i 0.734996 0.534006i
\(283\) −5.07555 + 2.86629i −0.301710 + 0.170383i −0.635152 0.772387i \(-0.719063\pi\)
0.333442 + 0.942771i \(0.391790\pi\)
\(284\) 0.0501880 + 1.75681i 0.00297811 + 0.104247i
\(285\) 18.7807 5.51452i 1.11247 0.326652i
\(286\) 19.5532 29.3333i 1.15620 1.73451i
\(287\) −5.60671 1.64628i −0.330953 0.0971767i
\(288\) −8.61187 + 32.7630i −0.507459 + 1.93058i
\(289\) 6.11066 30.1573i 0.359451 1.77396i
\(290\) 3.57591 + 6.77710i 0.209984 + 0.397965i
\(291\) −0.609937 + 21.3506i −0.0357552 + 1.25159i
\(292\) −1.96732 7.48446i −0.115129 0.437995i
\(293\) −26.3836 + 1.50867i −1.54135 + 0.0881375i −0.806966 0.590598i \(-0.798892\pi\)
−0.734383 + 0.678735i \(0.762528\pi\)
\(294\) 24.4890 25.1986i 1.42823 1.46961i
\(295\) −2.96830 + 1.45941i −0.172821 + 0.0849703i
\(296\) 1.20287 2.63392i 0.0699154 0.153093i
\(297\) −8.61042 + 34.4053i −0.499627 + 1.99640i
\(298\) 9.76101 + 21.3736i 0.565440 + 1.23814i
\(299\) 17.3496 + 14.1867i 1.00335 + 0.820438i
\(300\) −1.44849 + 2.74518i −0.0836283 + 0.158493i
\(301\) 6.71974 + 3.79481i 0.387319 + 0.218729i
\(302\) −34.1260 + 3.91560i −1.96373 + 0.225317i
\(303\) 21.0896 2.41981i 1.21157 0.139014i
\(304\) −27.6857 15.6348i −1.58788 0.896719i
\(305\) −1.69863 + 3.21927i −0.0972634 + 0.184335i
\(306\) −60.0829 49.1295i −3.43471 2.80855i
\(307\) −1.38180 3.02573i −0.0788637 0.172687i 0.866093 0.499883i \(-0.166624\pi\)
−0.944957 + 0.327196i \(0.893896\pi\)
\(308\) 1.24193 + 1.77099i 0.0707653 + 0.100912i
\(309\) −19.9819 + 43.7542i −1.13673 + 2.48909i
\(310\) −4.27356 + 2.10117i −0.242722 + 0.119338i
\(311\) 0.236571 0.243426i 0.0134147 0.0138034i −0.710391 0.703807i \(-0.751482\pi\)
0.723806 + 0.690004i \(0.242391\pi\)
\(312\) −32.3887 + 1.85205i −1.83365 + 0.104852i
\(313\) 4.30742 + 16.3871i 0.243470 + 0.926255i 0.970785 + 0.239952i \(0.0771316\pi\)
−0.727315 + 0.686304i \(0.759232\pi\)
\(314\) −0.670048 + 23.4547i −0.0378130 + 1.32363i
\(315\) 1.95401 + 3.70325i 0.110096 + 0.208655i
\(316\) −1.74414 + 8.60766i −0.0981154 + 0.484219i
\(317\) 2.03072 7.72567i 0.114057 0.433917i −0.885469 0.464698i \(-0.846163\pi\)
0.999526 + 0.0307807i \(0.00979934\pi\)
\(318\) −47.8286 14.0438i −2.68210 0.787535i
\(319\) 4.36291 13.9877i 0.244276 0.783161i
\(320\) −0.886820 + 0.260394i −0.0495747 + 0.0145565i
\(321\) 0.669734 + 23.4438i 0.0373809 + 1.30850i
\(322\) −3.57218 + 2.01730i −0.199070 + 0.112420i
\(323\) 35.5579 25.8343i 1.97849 1.43746i
\(324\) −12.5326 + 5.29631i −0.696254 + 0.294239i
\(325\) −6.03841 1.04499i −0.334951 0.0579655i
\(326\) 0.604241 7.03505i 0.0334658 0.389635i
\(327\) 2.86927 + 33.4063i 0.158671 + 1.84737i
\(328\) 15.3117 2.64980i 0.845450 0.146311i
\(329\) −1.55480 + 0.999210i −0.0857189 + 0.0550882i
\(330\) 16.9292 5.18885i 0.931924 0.285637i
\(331\) 15.2840 + 9.82244i 0.840086 + 0.539890i 0.888468 0.458939i \(-0.151770\pi\)
−0.0483824 + 0.998829i \(0.515407\pi\)
\(332\) −9.31772 3.93770i −0.511376 0.216109i
\(333\) 10.6165 2.46877i 0.581783 0.135288i
\(334\) 1.99105 5.11396i 0.108945 0.279824i
\(335\) 2.33011 + 3.86405i 0.127307 + 0.211116i
\(336\) 3.07575 9.46620i 0.167796 0.516423i
\(337\) −20.9723 + 27.1974i −1.14243 + 1.48153i −0.291265 + 0.956642i \(0.594076\pi\)
−0.851169 + 0.524892i \(0.824106\pi\)
\(338\) 15.4516 + 39.6871i 0.840456 + 2.15869i
\(339\) −32.5555 47.6109i −1.76817 2.58587i
\(340\) −0.991893 + 6.89877i −0.0537930 + 0.374138i
\(341\) 8.61209 + 2.95859i 0.466371 + 0.160216i
\(342\) −10.1625 70.6820i −0.549527 3.82205i
\(343\) −6.47149 + 5.93948i −0.349428 + 0.320702i
\(344\) −20.4889 1.17160i −1.10469 0.0631683i
\(345\) 2.23547 + 11.0325i 0.120353 + 0.593967i
\(346\) 13.5881 11.1109i 0.730499 0.597326i
\(347\) 6.81322 + 3.34983i 0.365753 + 0.179828i 0.614839 0.788653i \(-0.289221\pi\)
−0.249086 + 0.968481i \(0.580130\pi\)
\(348\) 12.9151 4.60808i 0.692319 0.247019i
\(349\) −8.88953 11.5282i −0.475846 0.617088i 0.491399 0.870935i \(-0.336486\pi\)
−0.967244 + 0.253847i \(0.918304\pi\)
\(350\) 0.579278 0.960625i 0.0309637 0.0513476i
\(351\) −42.9141 49.5255i −2.29058 2.64347i
\(352\) −15.2108 8.35452i −0.810738 0.445298i
\(353\) −5.74534 + 6.63047i −0.305793 + 0.352904i −0.887759 0.460309i \(-0.847739\pi\)
0.581965 + 0.813214i \(0.302284\pi\)
\(354\) 5.45686 + 16.7945i 0.290029 + 0.892617i
\(355\) −1.64152 0.585691i −0.0871226 0.0310853i
\(356\) −3.01721 3.10464i −0.159912 0.164546i
\(357\) 10.1367 + 9.30342i 0.536494 + 0.492389i
\(358\) −0.313178 + 0.458009i −0.0165520 + 0.0242065i
\(359\) −3.00569 0.698943i −0.158634 0.0368888i 0.146427 0.989221i \(-0.453223\pi\)
−0.305062 + 0.952333i \(0.598677\pi\)
\(360\) −9.00830 6.54491i −0.474779 0.344947i
\(361\) 21.2992 + 2.44386i 1.12101 + 0.128624i
\(362\) 26.7580 1.40637
\(363\) −29.8669 15.9481i −1.56761 0.837059i
\(364\) −3.99670 −0.209484
\(365\) 7.62416 + 0.874791i 0.399067 + 0.0457886i
\(366\) 15.7213 + 11.4222i 0.821766 + 0.597048i
\(367\) 26.0569 + 6.05928i 1.36016 + 0.316292i 0.842225 0.539127i \(-0.181246\pi\)
0.517937 + 0.855419i \(0.326700\pi\)
\(368\) 10.3210 15.0940i 0.538021 0.786831i
\(369\) 43.0953 + 39.5525i 2.24345 + 2.05902i
\(370\) −2.03516 2.09413i −0.105803 0.108868i
\(371\) 5.68750 + 2.02930i 0.295280 + 0.105356i
\(372\) 2.63345 + 8.10493i 0.136538 + 0.420221i
\(373\) 11.3084 13.0505i 0.585525 0.675732i −0.383258 0.923641i \(-0.625198\pi\)
0.968783 + 0.247909i \(0.0797435\pi\)
\(374\) 31.8880 23.7485i 1.64889 1.22800i
\(375\) −2.01567 2.32621i −0.104089 0.120125i
\(376\) 2.53804 4.20887i 0.130889 0.217056i
\(377\) 16.5322 + 21.4394i 0.851453 + 1.10418i
\(378\) 11.2980 4.03113i 0.581108 0.207339i
\(379\) −6.24863 3.07224i −0.320970 0.157811i 0.273623 0.961837i \(-0.411778\pi\)
−0.594594 + 0.804026i \(0.702687\pi\)
\(380\) −4.96429 + 4.05928i −0.254662 + 0.208236i
\(381\) 4.50753 + 22.2455i 0.230928 + 1.13967i
\(382\) 14.0126 + 0.801271i 0.716949 + 0.0409966i
\(383\) −12.2666 + 11.2582i −0.626796 + 0.575268i −0.925345 0.379126i \(-0.876225\pi\)
0.298549 + 0.954394i \(0.403497\pi\)
\(384\) 5.28637 + 36.7675i 0.269769 + 1.87628i
\(385\) −2.08339 + 0.510484i −0.106179 + 0.0260167i
\(386\) 3.35349 23.3240i 0.170688 1.18716i
\(387\) −43.6043 63.7693i −2.21653 3.24158i
\(388\) −2.53880 6.52087i −0.128888 0.331047i
\(389\) −9.92875 + 12.8758i −0.503408 + 0.652831i −0.973204 0.229944i \(-0.926146\pi\)
0.469796 + 0.882775i \(0.344327\pi\)
\(390\) −10.1100 + 31.1154i −0.511940 + 1.57559i
\(391\) 13.0527 + 21.6455i 0.660105 + 1.09466i
\(392\) 4.10693 10.5486i 0.207431 0.532783i
\(393\) 28.8898 6.71803i 1.45730 0.338880i
\(394\) −19.5730 8.27164i −0.986076 0.416719i
\(395\) −7.32678 4.70864i −0.368650 0.236917i
\(396\) −3.33447 21.3946i −0.167563 1.07512i
\(397\) −4.92322 + 3.16396i −0.247089 + 0.158795i −0.658324 0.752735i \(-0.728734\pi\)
0.411234 + 0.911530i \(0.365098\pi\)
\(398\) −8.41255 + 1.45585i −0.421683 + 0.0729752i
\(399\) 1.08331 + 12.6127i 0.0542333 + 0.631427i
\(400\) −0.427869 + 4.98159i −0.0213934 + 0.249079i
\(401\) −12.3101 2.13034i −0.614735 0.106384i −0.145354 0.989380i \(-0.546432\pi\)
−0.469381 + 0.882996i \(0.655523\pi\)
\(402\) 22.1896 9.37739i 1.10671 0.467702i
\(403\) −13.6121 + 9.88975i −0.678066 + 0.492644i
\(404\) −6.05573 + 3.41983i −0.301284 + 0.170143i
\(405\) −0.385287 13.4868i −0.0191451 0.670164i
\(406\) −4.75505 + 1.39621i −0.235989 + 0.0692927i
\(407\) −0.0935136 + 5.58304i −0.00463530 + 0.276741i
\(408\) −35.1069 10.3083i −1.73805 0.510337i
\(409\) −1.96305 + 7.46822i −0.0970666 + 0.369280i −0.997892 0.0649026i \(-0.979326\pi\)
0.900825 + 0.434182i \(0.142963\pi\)
\(410\) 3.11213 15.3590i 0.153697 0.758526i
\(411\) 2.67534 + 5.07033i 0.131965 + 0.250101i
\(412\) 0.450006 15.7522i 0.0221702 0.776058i
\(413\) −0.543831 2.06895i −0.0267601 0.101806i
\(414\) 40.9998 2.34446i 2.01503 0.115224i
\(415\) 6.99116 7.19373i 0.343183 0.353126i
\(416\) 28.7755 14.1479i 1.41083 0.693660i
\(417\) −24.6606 + 53.9992i −1.20763 + 2.64435i
\(418\) 36.3900 + 3.74044i 1.77990 + 0.182951i
\(419\) −0.0968623 0.212099i −0.00473203 0.0103617i 0.907251 0.420589i \(-0.138177\pi\)
−0.911983 + 0.410227i \(0.865449\pi\)
\(420\) −1.55404 1.27073i −0.0758293 0.0620053i
\(421\) −9.81755 + 18.6063i −0.478478 + 0.906817i 0.520131 + 0.854087i \(0.325883\pi\)
−0.998609 + 0.0527304i \(0.983208\pi\)
\(422\) 4.46848 + 2.52347i 0.217522 + 0.122841i
\(423\) 18.3805 2.10896i 0.893689 0.102541i
\(424\) −15.9540 + 1.83055i −0.774793 + 0.0888992i
\(425\) −6.01825 3.39866i −0.291928 0.164859i
\(426\) −4.34222 + 8.22942i −0.210381 + 0.398717i
\(427\) −1.82242 1.49018i −0.0881929 0.0721149i
\(428\) −3.19192 6.98934i −0.154287 0.337842i
\(429\) 55.8113 28.2640i 2.69460 1.36460i
\(430\) −8.59758 + 18.8261i −0.414612 + 0.907874i
\(431\) 0.908022 0.446445i 0.0437379 0.0215045i −0.419221 0.907884i \(-0.637697\pi\)
0.462959 + 0.886380i \(0.346788\pi\)
\(432\) −37.2630 + 38.3428i −1.79282 + 1.84477i
\(433\) 6.27278 0.358690i 0.301450 0.0172376i 0.0942908 0.995545i \(-0.469942\pi\)
0.207160 + 0.978307i \(0.433578\pi\)
\(434\) −0.782973 2.97874i −0.0375839 0.142984i
\(435\) −0.388310 + 13.5926i −0.0186181 + 0.651717i
\(436\) −5.12623 9.71528i −0.245502 0.465278i
\(437\) −4.61846 + 22.7930i −0.220931 + 1.09034i
\(438\) 10.4154 39.6245i 0.497669 1.89333i
\(439\) 20.9012 + 6.13714i 0.997558 + 0.292910i 0.739454 0.673207i \(-0.235084\pi\)
0.258105 + 0.966117i \(0.416902\pi\)
\(440\) 4.37293 3.66276i 0.208471 0.174615i
\(441\) 40.8851 12.0049i 1.94691 0.571664i
\(442\) 2.09785 + 73.4345i 0.0997847 + 3.49292i
\(443\) 22.0550 12.4551i 1.04787 0.591757i 0.131177 0.991359i \(-0.458124\pi\)
0.916689 + 0.399602i \(0.130852\pi\)
\(444\) −4.22766 + 3.07157i −0.200636 + 0.145770i
\(445\) 3.95452 1.67120i 0.187462 0.0792222i
\(446\) 10.4984 + 1.81683i 0.497115 + 0.0860292i
\(447\) −3.56830 + 41.5450i −0.168775 + 1.96501i
\(448\) −0.0511535 0.595570i −0.00241678 0.0281380i
\(449\) −3.67563 + 0.636092i −0.173464 + 0.0300191i −0.256592 0.966520i \(-0.582600\pi\)
0.0831285 + 0.996539i \(0.473509\pi\)
\(450\) −9.44667 + 6.07101i −0.445320 + 0.286190i
\(451\) −25.0158 + 16.4974i −1.17795 + 0.776833i
\(452\) 15.8963 + 10.2159i 0.747700 + 0.480517i
\(453\) −56.1495 23.7290i −2.63813 1.11488i
\(454\) −40.3187 + 9.37571i −1.89225 + 0.440024i
\(455\) 1.43794 3.69333i 0.0674118 0.173146i
\(456\) −17.3843 28.8285i −0.814092 1.35002i
\(457\) 0.901932 2.77586i 0.0421906 0.129849i −0.927743 0.373221i \(-0.878253\pi\)
0.969933 + 0.243371i \(0.0782534\pi\)
\(458\) 4.42061 5.73275i 0.206562 0.267874i
\(459\) −26.8149 68.8734i −1.25161 3.21474i
\(460\) −2.08159 3.04423i −0.0970547 0.141938i
\(461\) 4.05870 28.2289i 0.189033 1.31475i −0.645486 0.763772i \(-0.723345\pi\)
0.834519 0.550979i \(-0.185746\pi\)
\(462\) 1.11468 + 11.3973i 0.0518595 + 0.530251i
\(463\) −2.09863 14.5963i −0.0975314 0.678346i −0.978663 0.205474i \(-0.934126\pi\)
0.881131 0.472872i \(-0.156783\pi\)
\(464\) 16.2738 14.9360i 0.755492 0.693385i
\(465\) −8.43720 0.482456i −0.391266 0.0223734i
\(466\) −1.77224 8.74634i −0.0820974 0.405166i
\(467\) 12.7580 10.4321i 0.590368 0.482741i −0.290004 0.957025i \(-0.593657\pi\)
0.880372 + 0.474284i \(0.157293\pi\)
\(468\) 35.9034 + 17.6525i 1.65963 + 0.815987i
\(469\) −2.74856 + 0.980686i −0.126917 + 0.0452839i
\(470\) −3.02672 3.92512i −0.139612 0.181052i
\(471\) −21.5027 + 35.6583i −0.990794 + 1.64305i
\(472\) 3.72539 + 4.29933i 0.171475 + 0.197893i
\(473\) 37.1139 13.7385i 1.70650 0.631698i
\(474\) −30.4491 + 35.1401i −1.39857 + 1.61404i
\(475\) −1.96509 6.04793i −0.0901645 0.277498i
\(476\) −4.24550 1.51479i −0.194592 0.0694303i
\(477\) −42.1294 43.3501i −1.92897 1.98486i
\(478\) −4.25945 3.90929i −0.194823 0.178807i
\(479\) 14.2789 20.8822i 0.652418 0.954130i −0.347447 0.937699i \(-0.612951\pi\)
0.999865 0.0164308i \(-0.00523032\pi\)
\(480\) 15.6871 + 3.64787i 0.716013 + 0.166502i
\(481\) −8.34686 6.06435i −0.380584 0.276511i
\(482\) −25.1509 2.88580i −1.14559 0.131444i
\(483\) −7.28022 −0.331261
\(484\) 11.0470 + 1.00378i 0.502135 + 0.0456264i
\(485\) 6.93932 0.315098
\(486\) −16.2821 1.86819i −0.738570 0.0847430i
\(487\) 8.95099 + 6.50327i 0.405608 + 0.294692i 0.771821 0.635839i \(-0.219346\pi\)
−0.366213 + 0.930531i \(0.619346\pi\)
\(488\) 6.09758 + 1.41793i 0.276025 + 0.0641868i
\(489\) 7.07271 10.3435i 0.319839 0.467749i
\(490\) −8.41051 7.71910i −0.379948 0.348713i
\(491\) 4.34990 + 4.47594i 0.196308 + 0.201997i 0.808138 0.588993i \(-0.200475\pi\)
−0.611830 + 0.790989i \(0.709566\pi\)
\(492\) −26.4129 9.42412i −1.19079 0.424872i
\(493\) 9.43563 + 29.0399i 0.424960 + 1.30789i
\(494\) −44.2637 + 51.0830i −1.99152 + 2.29833i
\(495\) 20.9703 + 4.61605i 0.942546 + 0.207476i
\(496\) 8.98979 + 10.3748i 0.403653 + 0.465841i
\(497\) 0.582083 0.965276i 0.0261100 0.0432985i
\(498\) −32.7028 42.4097i −1.46545 1.90043i
\(499\) −19.3722 + 6.91200i −0.867221 + 0.309424i −0.731928 0.681382i \(-0.761379\pi\)
−0.135293 + 0.990806i \(0.543197\pi\)
\(500\) 0.904944 + 0.444931i 0.0404703 + 0.0198979i
\(501\) 7.53924 6.16480i 0.336828 0.275423i
\(502\) 10.2810 + 50.7389i 0.458865 + 2.26459i
\(503\) −28.9524 1.65556i −1.29092 0.0738177i −0.601909 0.798565i \(-0.705593\pi\)
−0.689015 + 0.724747i \(0.741957\pi\)
\(504\) 5.30560 4.86944i 0.236330 0.216902i
\(505\) −0.981497 6.82646i −0.0436760 0.303774i
\(506\) −3.93410 + 20.6669i −0.174892 + 0.918754i
\(507\) −10.7560 + 74.8094i −0.477689 + 3.32240i
\(508\) −4.19726 6.13830i −0.186223 0.272343i
\(509\) 11.0878 + 28.4788i 0.491458 + 1.26230i 0.931309 + 0.364230i \(0.118668\pi\)
−0.439851 + 0.898071i \(0.644969\pi\)
\(510\) −22.5324 + 29.2206i −0.997753 + 1.29391i
\(511\) −1.53373 + 4.72034i −0.0678483 + 0.208816i
\(512\) −4.62863 7.67572i −0.204558 0.339222i
\(513\) 24.6716 63.3685i 1.08928 2.79779i
\(514\) 23.8933 5.55615i 1.05389 0.245071i
\(515\) 14.3947 + 6.08323i 0.634305 + 0.268059i
\(516\) 31.1573 + 20.0236i 1.37162 + 0.881488i
\(517\) −1.23793 + 9.39664i −0.0544443 + 0.413264i
\(518\) 1.58879 1.02105i 0.0698072 0.0448624i
\(519\) 30.6924 5.31153i 1.34725 0.233150i
\(520\) 0.901942 + 10.5011i 0.0395528 + 0.460505i
\(521\) 2.96728 34.5474i 0.129999 1.51355i −0.583050 0.812436i \(-0.698141\pi\)
0.713049 0.701114i \(-0.247314\pi\)
\(522\) 48.8826 + 8.45947i 2.13953 + 0.370261i
\(523\) 16.2640 6.87321i 0.711173 0.300544i −0.00350863 0.999994i \(-0.501117\pi\)
0.714682 + 0.699449i \(0.246571\pi\)
\(524\) −7.86146 + 5.71168i −0.343429 + 0.249516i
\(525\) 1.73339 0.978892i 0.0756514 0.0427223i
\(526\) 1.26742 + 44.3656i 0.0552623 + 1.93443i
\(527\) −18.2078 + 5.34628i −0.793143 + 0.232888i
\(528\) −26.8726 43.3957i −1.16948 1.88855i
\(529\) 9.23558 + 2.71181i 0.401547 + 0.117905i
\(530\) −4.11702 + 15.6628i −0.178832 + 0.680347i
\(531\) −4.25269 + 20.9879i −0.184551 + 0.910796i
\(532\) −1.93543 3.66806i −0.0839117 0.159030i
\(533\) 1.58110 55.3457i 0.0684851 2.39729i
\(534\) −5.82669 22.1670i −0.252145 0.959261i
\(535\) 7.60721 0.434996i 0.328888 0.0188065i
\(536\) 5.40863 5.56535i 0.233617 0.240386i
\(537\) −0.883607 + 0.434440i −0.0381304 + 0.0187475i
\(538\) −2.91093 + 6.37405i −0.125499 + 0.274805i
\(539\) 0.881041 + 21.8113i 0.0379491 + 0.939479i
\(540\) 4.47960 + 9.80895i 0.192771 + 0.422110i
\(541\) 27.1641 + 22.2120i 1.16788 + 0.954969i 0.999527 0.0307583i \(-0.00979222\pi\)
0.168351 + 0.985727i \(0.446156\pi\)
\(542\) 11.5334 21.8583i 0.495404 0.938895i
\(543\) 41.3474 + 23.3499i 1.77439 + 1.00204i
\(544\) 35.9290 4.12247i 1.54044 0.176749i
\(545\) 10.8222 1.24173i 0.463571 0.0531898i
\(546\) −18.4245 10.4048i −0.788495 0.445284i
\(547\) 10.2833 19.4891i 0.439683 0.833292i −0.560304 0.828287i \(-0.689316\pi\)
0.999987 0.00500557i \(-0.00159333\pi\)
\(548\) −1.45398 1.18891i −0.0621108 0.0507878i
\(549\) 9.78944 + 21.4359i 0.417803 + 0.914861i
\(550\) −1.84215 5.44968i −0.0785496 0.232375i
\(551\) −11.6706 + 25.5550i −0.497184 + 1.08868i
\(552\) 17.3739 8.54215i 0.739480 0.363578i
\(553\) 3.92568 4.03943i 0.166937 0.171774i
\(554\) 5.85948 0.335057i 0.248946 0.0142352i
\(555\) −1.31738 5.01185i −0.0559199 0.212741i
\(556\) 0.555374 19.4406i 0.0235531 0.824466i
\(557\) 6.67579 + 12.6520i 0.282862 + 0.536084i 0.984269 0.176678i \(-0.0565351\pi\)
−0.701406 + 0.712761i \(0.747444\pi\)
\(558\) −6.12276 + 30.2170i −0.259197 + 1.27919i
\(559\) −18.5893 + 70.7210i −0.786243 + 2.99118i
\(560\) −3.10271 0.911036i −0.131113 0.0384983i
\(561\) 69.9980 8.87040i 2.95532 0.374508i
\(562\) 26.3587 7.73963i 1.11188 0.326476i
\(563\) −0.643039 22.5093i −0.0271009 0.948655i −0.893436 0.449191i \(-0.851712\pi\)
0.866335 0.499464i \(-0.166470\pi\)
\(564\) −7.72345 + 4.36163i −0.325216 + 0.183658i
\(565\) −15.1597 + 11.0142i −0.637774 + 0.463370i
\(566\) 9.31274 3.93560i 0.391444 0.165425i
\(567\) 8.59831 + 1.48800i 0.361095 + 0.0624899i
\(568\) −0.256516 + 2.98656i −0.0107632 + 0.125313i
\(569\) −0.268270 3.12341i −0.0112465 0.130940i 0.988555 0.150860i \(-0.0482043\pi\)
−0.999802 + 0.0199199i \(0.993659\pi\)
\(570\) −33.4527 + 5.78922i −1.40118 + 0.242484i
\(571\) 33.0226 21.2224i 1.38195 0.888128i 0.382595 0.923916i \(-0.375031\pi\)
0.999359 + 0.0357883i \(0.0113942\pi\)
\(572\) −13.2379 + 15.6471i −0.553506 + 0.654237i
\(573\) 20.9536 + 13.4660i 0.875347 + 0.562551i
\(574\) 9.33582 + 3.94535i 0.389669 + 0.164676i
\(575\) 3.56208 0.828326i 0.148549 0.0345436i
\(576\) −2.17097 + 5.57609i −0.0904571 + 0.232337i
\(577\) −17.4954 29.0129i −0.728344 1.20782i −0.971317 0.237790i \(-0.923577\pi\)
0.242973 0.970033i \(-0.421877\pi\)
\(578\) −16.4923 + 50.7580i −0.685989 + 2.11126i
\(579\) 25.5352 33.1147i 1.06121 1.37620i
\(580\) −1.61630 4.15144i −0.0671134 0.172379i
\(581\) 3.66193 + 5.35541i 0.151923 + 0.222180i
\(582\) 5.27237 36.6701i 0.218547 1.52003i
\(583\) 26.7829 15.5451i 1.10924 0.643812i
\(584\) −1.87838 13.0644i −0.0777280 0.540610i
\(585\) −29.2300 + 26.8270i −1.20851 + 1.10916i
\(586\) 45.7618 + 2.61675i 1.89040 + 0.108097i
\(587\) −5.54021 27.3420i −0.228669 1.12853i −0.915689 0.401888i \(-0.868354\pi\)
0.687020 0.726639i \(-0.258919\pi\)
\(588\) −15.8149 + 12.9318i −0.652195 + 0.533297i
\(589\) −15.6683 7.70359i −0.645601 0.317421i
\(590\) 5.40343 1.92794i 0.222456 0.0793720i
\(591\) −23.0268 29.8617i −0.947195 1.22834i
\(592\) −4.34694 + 7.20858i −0.178658 + 0.296271i
\(593\) −13.6235 15.7224i −0.559451 0.645641i 0.403608 0.914932i \(-0.367756\pi\)
−0.963059 + 0.269291i \(0.913211\pi\)
\(594\) 21.6397 57.5838i 0.887887 2.36269i
\(595\) 2.92727 3.37825i 0.120006 0.138495i
\(596\) −4.22146 12.9923i −0.172918 0.532186i
\(597\) −14.2698 5.09144i −0.584023 0.208379i
\(598\) −27.0914 27.8764i −1.10785 1.13995i
\(599\) −12.9711 11.9047i −0.529983 0.486414i 0.365931 0.930642i \(-0.380751\pi\)
−0.895914 + 0.444228i \(0.853478\pi\)
\(600\) −2.98808 + 4.36993i −0.121988 + 0.178402i
\(601\) 28.0751 + 6.52857i 1.14521 + 0.266306i 0.755827 0.654772i \(-0.227235\pi\)
0.389379 + 0.921078i \(0.372690\pi\)
\(602\) −10.8290 7.86770i −0.441355 0.320664i
\(603\) 29.0225 + 3.33003i 1.18189 + 0.135609i
\(604\) 19.9707 0.812597
\(605\) −4.90210 + 9.84731i −0.199299 + 0.400350i
\(606\) −36.8195 −1.49569
\(607\) −32.2342 3.69853i −1.30835 0.150119i −0.568382 0.822765i \(-0.692430\pi\)
−0.739964 + 0.672646i \(0.765158\pi\)
\(608\) 26.9194 + 19.5581i 1.09172 + 0.793184i
\(609\) −8.56604 1.99195i −0.347113 0.0807177i
\(610\) 3.56353 5.21150i 0.144283 0.211007i
\(611\) −12.9020 11.8414i −0.521960 0.479051i
\(612\) 31.4479 + 32.3592i 1.27121 + 1.30804i
\(613\) 25.4398 + 9.07692i 1.02751 + 0.366613i 0.795405 0.606078i \(-0.207258\pi\)
0.232101 + 0.972692i \(0.425440\pi\)
\(614\) 1.78285 + 5.48705i 0.0719500 + 0.221439i
\(615\) 18.2117 21.0174i 0.734367 0.847504i
\(616\) 1.76005 + 3.24229i 0.0709144 + 0.130636i
\(617\) 6.25628 + 7.22014i 0.251869 + 0.290672i 0.867578 0.497302i \(-0.165676\pi\)
−0.615709 + 0.787974i \(0.711130\pi\)
\(618\) 43.0830 71.4452i 1.73305 2.87395i
\(619\) −8.47623 10.9922i −0.340689 0.441813i 0.590122 0.807314i \(-0.299079\pi\)
−0.930811 + 0.365501i \(0.880898\pi\)
\(620\) 2.60767 0.930413i 0.104726 0.0373663i
\(621\) 35.0950 + 17.2550i 1.40831 + 0.692421i
\(622\) −0.455781 + 0.372690i −0.0182751 + 0.0149435i
\(623\) 0.551403 + 2.72128i 0.0220915 + 0.109026i
\(624\) 94.1577 + 5.38413i 3.76932 + 0.215538i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −4.18243 29.0895i −0.167164 1.16265i
\(627\) 52.9670 + 37.5350i 2.11530 + 1.49900i
\(628\) 1.94145 13.5031i 0.0774722 0.538831i
\(629\) −6.56801 9.60541i −0.261884 0.382993i
\(630\) −2.63490 6.76767i −0.104977 0.269631i
\(631\) 25.6012 33.2003i 1.01917 1.32168i 0.0732385 0.997314i \(-0.476667\pi\)
0.945931 0.324368i \(-0.105152\pi\)
\(632\) −4.62882 + 14.2460i −0.184124 + 0.566677i
\(633\) 4.70278 + 7.79869i 0.186919 + 0.309970i
\(634\) −5.02677 + 12.9111i −0.199638 + 0.512767i
\(635\) 7.18247 1.67021i 0.285028 0.0662804i
\(636\) 26.6951 + 11.2815i 1.05853 + 0.447339i
\(637\) −33.9310 21.8061i −1.34439 0.863990i
\(638\) −10.2836 + 23.2406i −0.407132 + 0.920103i
\(639\) −9.49240 + 6.10040i −0.375514 + 0.241328i
\(640\) 11.8913 2.05787i 0.470045 0.0813445i
\(641\) −2.41493 28.1165i −0.0953838 1.11053i −0.874950 0.484214i \(-0.839106\pi\)
0.779566 0.626320i \(-0.215440\pi\)
\(642\) 3.48113 40.5300i 0.137389 1.59959i
\(643\) 14.9961 + 2.59518i 0.591389 + 0.102344i 0.458357 0.888768i \(-0.348438\pi\)
0.133031 + 0.991112i \(0.457529\pi\)
\(644\) 2.19699 0.928456i 0.0865735 0.0365863i
\(645\) −29.7135 + 21.5881i −1.16997 + 0.850032i
\(646\) −66.3802 + 37.4866i −2.61169 + 1.47489i
\(647\) −0.554403 19.4066i −0.0217958 0.762953i −0.934835 0.355082i \(-0.884453\pi\)
0.913039 0.407871i \(-0.133729\pi\)
\(648\) −22.2653 + 6.53769i −0.874665 + 0.256825i
\(649\) −9.90121 4.72370i −0.388656 0.185422i
\(650\) 10.1986 + 2.99458i 0.400022 + 0.117457i
\(651\) 1.38947 5.28609i 0.0544576 0.207178i
\(652\) −0.815248 + 4.02341i −0.0319276 + 0.157569i
\(653\) 3.61135 + 6.84427i 0.141323 + 0.267837i 0.944897 0.327368i \(-0.106162\pi\)
−0.803574 + 0.595205i \(0.797071\pi\)
\(654\) 1.66070 58.1321i 0.0649385 2.27314i
\(655\) −2.44972 9.31970i −0.0957184 0.364151i
\(656\) −45.1010 + 2.57897i −1.76090 + 0.100692i
\(657\) 34.6266 35.6299i 1.35091 1.39006i
\(658\) 2.87675 1.41440i 0.112147 0.0551391i
\(659\) 9.02937 19.7716i 0.351734 0.770191i −0.648228 0.761447i \(-0.724489\pi\)
0.999962 0.00874385i \(-0.00278329\pi\)
\(660\) −10.1222 + 1.87512i −0.394007 + 0.0729890i
\(661\) 7.62319 + 16.6924i 0.296508 + 0.649261i 0.997986 0.0634293i \(-0.0202037\pi\)
−0.701479 + 0.712690i \(0.747476\pi\)
\(662\) −24.3949 19.9476i −0.948135 0.775287i
\(663\) −60.8396 + 115.304i −2.36281 + 4.47803i
\(664\) −15.0227 8.48371i −0.582994 0.329232i
\(665\) 4.08597 0.468821i 0.158447 0.0181801i
\(666\) −18.7822 + 2.15506i −0.727797 + 0.0835069i
\(667\) −14.0683 7.94472i −0.544726 0.307621i
\(668\) −1.48895 + 2.82187i −0.0576092 + 0.109182i
\(669\) 14.6371 + 11.9687i 0.565903 + 0.462736i
\(670\) −3.25119 7.11912i −0.125604 0.275035i
\(671\) −11.8703 + 2.19895i −0.458248 + 0.0848895i
\(672\) −4.32708 + 9.47497i −0.166921 + 0.365505i
\(673\) −31.5721 + 15.5229i −1.21701 + 0.598365i −0.932800 0.360395i \(-0.882642\pi\)
−0.284214 + 0.958761i \(0.591733\pi\)
\(674\) 41.5162 42.7191i 1.59914 1.64548i
\(675\) −10.6761 + 0.610480i −0.410922 + 0.0234974i
\(676\) −6.29465 23.9473i −0.242102 0.921052i
\(677\) −0.158236 + 5.53899i −0.00608152 + 0.212881i 0.990868 + 0.134834i \(0.0430502\pi\)
−0.996950 + 0.0780467i \(0.975132\pi\)
\(678\) 46.6852 + 88.4783i 1.79294 + 3.39799i
\(679\) −0.891271 + 4.39860i −0.0342038 + 0.168803i
\(680\) −3.02195 + 11.4967i −0.115886 + 0.440877i
\(681\) −70.4833 20.6958i −2.70093 0.793063i
\(682\) −14.2551 6.80089i −0.545857 0.260420i
\(683\) −20.7006 + 6.07824i −0.792086 + 0.232578i −0.652656 0.757654i \(-0.726345\pi\)
−0.139430 + 0.990232i \(0.544527\pi\)
\(684\) 1.18555 + 41.4995i 0.0453305 + 1.58677i
\(685\) 1.62178 0.915862i 0.0619651 0.0349933i
\(686\) 12.3258 8.95523i 0.470602 0.341912i
\(687\) 11.8335 5.00086i 0.451474 0.190795i
\(688\) 58.7871 + 10.1735i 2.24124 + 0.387861i
\(689\) −4.89649 + 57.0088i −0.186541 + 2.17186i
\(690\) −1.67080 19.4528i −0.0636063 0.740555i
\(691\) −16.2379 + 2.81009i −0.617721 + 0.106901i −0.470789 0.882246i \(-0.656031\pi\)
−0.146932 + 0.989147i \(0.546940\pi\)
\(692\) −8.58483 + 5.51714i −0.326346 + 0.209730i
\(693\) −5.61934 + 12.6995i −0.213461 + 0.482414i
\(694\) −11.0780 7.11941i −0.420516 0.270249i
\(695\) 17.7652 + 7.50762i 0.673871 + 0.284780i
\(696\) 22.7796 5.29717i 0.863459 0.200789i
\(697\) 22.6561 58.1918i 0.858163 2.20417i
\(698\) 13.0389 + 21.6226i 0.493529 + 0.818426i
\(699\) 4.89382 15.0616i 0.185101 0.569683i
\(700\) −0.398256 + 0.516467i −0.0150526 + 0.0195206i
\(701\) −2.20169 5.65499i −0.0831566 0.213586i 0.884146 0.467210i \(-0.154741\pi\)
−0.967303 + 0.253624i \(0.918377\pi\)
\(702\) 64.1563 + 93.8256i 2.42142 + 3.54122i
\(703\) 1.52365 10.5972i 0.0574656 0.399682i
\(704\) −2.50109 1.77239i −0.0942632 0.0667995i
\(705\) −1.25180 8.70643i −0.0471454 0.327903i
\(706\) 11.2111 10.2895i 0.421937 0.387250i
\(707\) 4.45312 + 0.254639i 0.167477 + 0.00957668i
\(708\) −2.03886 10.0622i −0.0766250 0.378159i
\(709\) −21.0801 + 17.2371i −0.791679 + 0.647353i −0.939842 0.341610i \(-0.889028\pi\)
0.148163 + 0.988963i \(0.452664\pi\)
\(710\) 2.71281 + 1.33380i 0.101810 + 0.0500566i
\(711\) −53.1067 + 18.9484i −1.99166 + 0.710621i
\(712\) −4.50888 5.84722i −0.168977 0.219134i
\(713\) 5.18513 8.59857i 0.194185 0.322019i
\(714\) −15.6279 18.0356i −0.584860 0.674964i
\(715\) −9.69659 17.8626i −0.362632 0.668025i
\(716\) 0.211246 0.243791i 0.00789463 0.00911089i
\(717\) −3.17046 9.75768i −0.118403 0.364407i
\(718\) 5.04112 + 1.79867i 0.188133 + 0.0671257i
\(719\) 8.74888 + 9.00239i 0.326278 + 0.335732i 0.860347 0.509709i \(-0.170247\pi\)
−0.534069 + 0.845441i \(0.679338\pi\)
\(720\) 23.8486 + 21.8880i 0.888784 + 0.815718i
\(721\) −5.70478 + 8.34297i −0.212457 + 0.310708i
\(722\) −36.2190 8.42237i −1.34793 0.313448i
\(723\) −36.3457 26.4067i −1.35171 0.982076i
\(724\) −15.4555 1.77335i −0.574398 0.0659060i
\(725\) 4.41784 0.164075
\(726\) 48.3126 + 33.3865i 1.79305 + 1.23909i
\(727\) 39.7330 1.47362 0.736808 0.676102i \(-0.236332\pi\)
0.736808 + 0.676102i \(0.236332\pi\)
\(728\) −6.77215 0.777031i −0.250992 0.0287987i
\(729\) 9.21715 + 6.69665i 0.341376 + 0.248024i
\(730\) −12.9648 3.01483i −0.479848 0.111584i
\(731\) −46.5505 + 68.0780i −1.72173 + 2.51795i
\(732\) −8.32365 7.63937i −0.307651 0.282359i
\(733\) −34.8001 35.8085i −1.28537 1.32262i −0.920084 0.391722i \(-0.871879\pi\)
−0.365288 0.930894i \(-0.619030\pi\)
\(734\) −43.7025 15.5930i −1.61309 0.575549i
\(735\) −6.26026 19.2671i −0.230913 0.710677i
\(736\) −12.5313 + 14.4619i −0.461909 + 0.533071i
\(737\) −5.26446 + 14.0089i −0.193919 + 0.516024i
\(738\) −66.4404 76.6763i −2.44570 2.82249i
\(739\) 10.0963 16.7428i 0.371398 0.615894i −0.613365 0.789800i \(-0.710184\pi\)
0.984762 + 0.173906i \(0.0556389\pi\)
\(740\) 1.03672 + 1.34445i 0.0381107 + 0.0494228i
\(741\) −112.974 + 40.3092i −4.15022 + 1.48079i
\(742\) −9.39931 4.62133i −0.345059 0.169654i
\(743\) −28.3219 + 23.1587i −1.03903 + 0.849611i −0.988818 0.149128i \(-0.952353\pi\)
−0.0502125 + 0.998739i \(0.515990\pi\)
\(744\) 2.88647 + 14.2453i 0.105823 + 0.522257i
\(745\) 13.5249 + 0.773384i 0.495515 + 0.0283346i
\(746\) −22.0665 + 20.2525i −0.807913 + 0.741496i
\(747\) −9.24249 64.2830i −0.338165 2.35199i
\(748\) −19.9924 + 11.6038i −0.730995 + 0.424277i
\(749\) −0.701325 + 4.87782i −0.0256258 + 0.178232i
\(750\) 3.01342 + 4.40698i 0.110034 + 0.160920i
\(751\) −8.87668 22.7996i −0.323915 0.831968i −0.995821 0.0913314i \(-0.970888\pi\)
0.671906 0.740636i \(-0.265476\pi\)
\(752\) −8.72504 + 11.3148i −0.318170 + 0.412610i
\(753\) −28.3898 + 87.3748i −1.03458 + 3.18412i
\(754\) −24.2490 40.2124i −0.883095 1.46445i
\(755\) −7.18512 + 18.4548i −0.261493 + 0.671640i
\(756\) −6.79291 + 1.57962i −0.247056 + 0.0574504i
\(757\) −11.5166 4.86694i −0.418576 0.176892i 0.169801 0.985478i \(-0.445688\pi\)
−0.588377 + 0.808587i \(0.700233\pi\)
\(758\) 10.1600 + 6.52945i 0.369029 + 0.237160i
\(759\) −24.1137 + 28.5021i −0.875271 + 1.03456i
\(760\) −9.20086 + 5.91303i −0.333750 + 0.214488i
\(761\) 7.16503 1.23996i 0.259732 0.0449484i −0.0391686 0.999233i \(-0.512471\pi\)
0.298901 + 0.954284i \(0.403380\pi\)
\(762\) −3.36896 39.2241i −0.122044 1.42094i
\(763\) −0.602887 + 7.01929i −0.0218260 + 0.254115i
\(764\) −8.04061 1.39148i −0.290899 0.0503420i
\(765\) −41.2173 + 17.4186i −1.49022 + 0.629771i
\(766\) 23.3634 16.9745i 0.844155 0.613315i
\(767\) 17.6500 9.96739i 0.637303 0.359902i
\(768\) −1.67734 58.7145i −0.0605257 2.11868i
\(769\) −10.6989 + 3.14147i −0.385811 + 0.113284i −0.468885 0.883259i \(-0.655344\pi\)
0.0830743 + 0.996543i \(0.473526\pi\)
\(770\) 3.69097 0.467732i 0.133013 0.0168559i
\(771\) 41.7691 + 12.2645i 1.50428 + 0.441696i
\(772\) −3.48274 + 13.2497i −0.125347 + 0.476868i
\(773\) 6.41443 31.6565i