Properties

Label 690.2.w.b.37.5
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.5
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.b.373.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.06085 + 0.867694i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.60657 - 4.30737i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(0.997452 + 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.06085 + 0.867694i) q^{5} +(-0.841254 - 0.540641i) q^{6} +(-1.60657 - 4.30737i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-1.39292 - 1.74922i) q^{10} +(1.86100 - 6.33797i) q^{11} +(0.479249 + 0.877679i) q^{12} +(-2.47066 - 0.921509i) q^{13} +(-0.654253 + 4.55043i) q^{14} +(1.99370 + 1.01250i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(-5.68433 + 1.23655i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(-2.22074 + 1.42718i) q^{19} +(0.384230 + 2.20281i) q^{20} +(-1.29519 - 4.41100i) q^{21} +(-4.67083 + 4.67083i) q^{22} +(-4.35331 - 2.01214i) q^{23} -1.00000i q^{24} +(3.49422 + 3.57638i) q^{25} +(1.72681 + 1.99285i) q^{26} +(0.977147 + 0.212565i) q^{27} +(2.75501 - 3.68027i) q^{28} +(1.61466 - 2.51246i) q^{29} +(-1.26459 - 1.84413i) q^{30} +(4.46391 - 5.15162i) q^{31} +(0.800541 - 0.599278i) q^{32} +(2.30840 - 6.18906i) q^{33} +(5.58163 + 1.63892i) q^{34} +(0.426584 - 10.2709i) q^{35} +(0.415415 + 0.909632i) q^{36} +(5.71908 + 7.63980i) q^{37} +(2.63308 - 0.188321i) q^{38} +(-2.39863 - 1.09542i) q^{39} +(0.718463 - 2.11750i) q^{40} +(-0.533902 - 3.71337i) q^{41} +(-0.977210 + 4.49216i) q^{42} +(-0.667815 + 9.33728i) q^{43} +(6.33797 - 1.86100i) q^{44} +(1.91639 + 1.15215i) q^{45} +(2.85649 + 3.85233i) q^{46} +(-0.431659 - 0.431659i) q^{47} +(-0.479249 + 0.877679i) q^{48} +(-10.6821 + 9.25611i) q^{49} +(-1.35283 - 4.81351i) q^{50} +(-5.75806 + 0.827884i) q^{51} +(-0.560517 - 2.57666i) q^{52} +(3.32897 - 1.24164i) q^{53} +(-0.755750 - 0.654861i) q^{54} +(9.33466 - 11.4468i) q^{55} +(-4.18178 + 1.90976i) q^{56} +(-2.31690 + 1.26512i) q^{57} +(-2.62124 + 1.43131i) q^{58} +(6.21782 - 2.83958i) q^{59} +(0.226104 + 2.22461i) q^{60} +(8.79747 + 7.62305i) q^{61} +(-6.38679 + 2.38215i) q^{62} +(-0.977210 - 4.49216i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(-4.29208 - 4.04287i) q^{65} +(-4.99214 + 4.32571i) q^{66} +(3.40473 - 6.23529i) q^{67} +(-4.11343 - 4.11343i) q^{68} +(-4.19867 - 2.31757i) q^{69} +(-5.29670 + 8.81007i) q^{70} +(5.72462 - 1.68090i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(2.15880 - 9.92386i) q^{73} +(-1.35815 - 9.44616i) q^{74} +(3.23018 + 3.81654i) q^{75} +(-2.40125 - 1.09661i) q^{76} +(-30.2898 + 2.16637i) q^{77} +(1.58025 + 2.11096i) q^{78} +(0.0599822 + 0.131343i) q^{79} +(-1.64539 + 1.51416i) q^{80} +(0.959493 + 0.281733i) q^{81} +(-1.31103 + 3.51502i) q^{82} +(0.922531 - 0.690598i) q^{83} +(3.01054 - 3.47435i) q^{84} +(-12.7875 - 2.38391i) q^{85} +(5.06101 - 7.87508i) q^{86} +(1.78978 - 2.39087i) q^{87} +(-6.45459 - 1.40411i) q^{88} +(0.183967 + 0.212309i) q^{89} +(-1.12981 - 1.92965i) q^{90} +12.1225i q^{91} +(-0.660856 - 4.75008i) q^{92} +(4.82005 - 4.82005i) q^{93} +(0.171986 + 0.585730i) q^{94} +(-5.81498 + 1.01429i) q^{95} +(0.841254 - 0.540641i) q^{96} +(6.96135 + 5.21120i) q^{97} +(13.8115 - 3.00450i) q^{98} +(2.74404 - 6.00862i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 24q^{6} + O(q^{10}) \) \( 240q + 24q^{6} - 44q^{10} + 24q^{16} - 44q^{21} + 96q^{23} + 16q^{25} + 16q^{26} + 44q^{28} - 16q^{31} + 44q^{33} + 16q^{35} - 24q^{36} + 44q^{37} - 88q^{43} + 8q^{46} + 96q^{47} - 24q^{50} - 24q^{55} + 44q^{57} - 16q^{58} + 88q^{61} + 56q^{62} - 88q^{65} + 132q^{67} - 56q^{70} + 16q^{71} + 48q^{73} + 24q^{81} - 24q^{82} + 44q^{85} - 16q^{87} + 44q^{88} - 124q^{92} + 32q^{93} + 20q^{95} - 24q^{96} - 56q^{98} + O(q^{100}) \)

Character values

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) 0.997452 + 0.0713392i 0.575879 + 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 2.06085 + 0.867694i 0.921641 + 0.388044i
\(6\) −0.841254 0.540641i −0.343440 0.220716i
\(7\) −1.60657 4.30737i −0.607225 1.62803i −0.767566 0.640970i \(-0.778532\pi\)
0.160341 0.987062i \(-0.448741\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −1.39292 1.74922i −0.440481 0.553151i
\(11\) 1.86100 6.33797i 0.561112 1.91097i 0.192954 0.981208i \(-0.438193\pi\)
0.368157 0.929763i \(-0.379989\pi\)
\(12\) 0.479249 + 0.877679i 0.138347 + 0.253364i
\(13\) −2.47066 0.921509i −0.685238 0.255580i −0.0173577 0.999849i \(-0.505525\pi\)
−0.667880 + 0.744269i \(0.732798\pi\)
\(14\) −0.654253 + 4.55043i −0.174857 + 1.21615i
\(15\) 1.99370 + 1.01250i 0.514771 + 0.261427i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) −5.68433 + 1.23655i −1.37865 + 0.299908i −0.839985 0.542610i \(-0.817436\pi\)
−0.538668 + 0.842518i \(0.681072\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) −2.22074 + 1.42718i −0.509473 + 0.327419i −0.769996 0.638049i \(-0.779742\pi\)
0.260522 + 0.965468i \(0.416105\pi\)
\(20\) 0.384230 + 2.20281i 0.0859164 + 0.492563i
\(21\) −1.29519 4.41100i −0.282633 0.962560i
\(22\) −4.67083 + 4.67083i −0.995823 + 0.995823i
\(23\) −4.35331 2.01214i −0.907728 0.419560i
\(24\) 1.00000i 0.204124i
\(25\) 3.49422 + 3.57638i 0.698843 + 0.715275i
\(26\) 1.72681 + 1.99285i 0.338656 + 0.390830i
\(27\) 0.977147 + 0.212565i 0.188052 + 0.0409082i
\(28\) 2.75501 3.68027i 0.520649 0.695505i
\(29\) 1.61466 2.51246i 0.299834 0.466551i −0.658346 0.752715i \(-0.728744\pi\)
0.958181 + 0.286164i \(0.0923801\pi\)
\(30\) −1.26459 1.84413i −0.230881 0.336691i
\(31\) 4.46391 5.15162i 0.801741 0.925259i −0.196734 0.980457i \(-0.563034\pi\)
0.998475 + 0.0551980i \(0.0175790\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) 2.30840 6.18906i 0.401841 1.07738i
\(34\) 5.58163 + 1.63892i 0.957242 + 0.281072i
\(35\) 0.426584 10.2709i 0.0721059 1.73609i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 5.71908 + 7.63980i 0.940212 + 1.25598i 0.966591 + 0.256324i \(0.0825114\pi\)
−0.0263792 + 0.999652i \(0.508398\pi\)
\(38\) 2.63308 0.188321i 0.427141 0.0305497i
\(39\) −2.39863 1.09542i −0.384087 0.175407i
\(40\) 0.718463 2.11750i 0.113599 0.334806i
\(41\) −0.533902 3.71337i −0.0833815 0.579931i −0.988087 0.153894i \(-0.950818\pi\)
0.904706 0.426037i \(-0.140091\pi\)
\(42\) −0.977210 + 4.49216i −0.150787 + 0.693156i
\(43\) −0.667815 + 9.33728i −0.101841 + 1.42392i 0.647666 + 0.761925i \(0.275745\pi\)
−0.749507 + 0.661997i \(0.769709\pi\)
\(44\) 6.33797 1.86100i 0.955486 0.280556i
\(45\) 1.91639 + 1.15215i 0.285678 + 0.171753i
\(46\) 2.85649 + 3.85233i 0.421167 + 0.567995i
\(47\) −0.431659 0.431659i −0.0629639 0.0629639i 0.674924 0.737888i \(-0.264177\pi\)
−0.737888 + 0.674924i \(0.764177\pi\)
\(48\) −0.479249 + 0.877679i −0.0691736 + 0.126682i
\(49\) −10.6821 + 9.25611i −1.52602 + 1.32230i
\(50\) −1.35283 4.81351i −0.191318 0.680733i
\(51\) −5.75806 + 0.827884i −0.806290 + 0.115927i
\(52\) −0.560517 2.57666i −0.0777298 0.357318i
\(53\) 3.32897 1.24164i 0.457269 0.170553i −0.110265 0.993902i \(-0.535170\pi\)
0.567535 + 0.823350i \(0.307897\pi\)
\(54\) −0.755750 0.654861i −0.102844 0.0891153i
\(55\) 9.33466 11.4468i 1.25869 1.54349i
\(56\) −4.18178 + 1.90976i −0.558814 + 0.255202i
\(57\) −2.31690 + 1.26512i −0.306881 + 0.167570i
\(58\) −2.62124 + 1.43131i −0.344186 + 0.187940i
\(59\) 6.21782 2.83958i 0.809491 0.369682i 0.0327196 0.999465i \(-0.489583\pi\)
0.776772 + 0.629782i \(0.216856\pi\)
\(60\) 0.226104 + 2.22461i 0.0291899 + 0.287196i
\(61\) 8.79747 + 7.62305i 1.12640 + 0.976031i 0.999873 0.0159319i \(-0.00507149\pi\)
0.126527 + 0.991963i \(0.459617\pi\)
\(62\) −6.38679 + 2.38215i −0.811123 + 0.302533i
\(63\) −0.977210 4.49216i −0.123117 0.565959i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) −4.29208 4.04287i −0.532366 0.501456i
\(66\) −4.99214 + 4.32571i −0.614490 + 0.532458i
\(67\) 3.40473 6.23529i 0.415953 0.761762i −0.582751 0.812651i \(-0.698024\pi\)
0.998704 + 0.0508891i \(0.0162055\pi\)
\(68\) −4.11343 4.11343i −0.498827 0.498827i
\(69\) −4.19867 2.31757i −0.505461 0.279003i
\(70\) −5.29670 + 8.81007i −0.633077 + 1.05300i
\(71\) 5.72462 1.68090i 0.679387 0.199486i 0.0762082 0.997092i \(-0.475719\pi\)
0.603179 + 0.797606i \(0.293900\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) 2.15880 9.92386i 0.252669 1.16150i −0.659506 0.751699i \(-0.729234\pi\)
0.912175 0.409801i \(-0.134402\pi\)
\(74\) −1.35815 9.44616i −0.157882 1.09809i
\(75\) 3.23018 + 3.81654i 0.372989 + 0.440696i
\(76\) −2.40125 1.09661i −0.275442 0.125790i
\(77\) −30.2898 + 2.16637i −3.45184 + 0.246881i
\(78\) 1.58025 + 2.11096i 0.178928 + 0.239019i
\(79\) 0.0599822 + 0.131343i 0.00674853 + 0.0147772i 0.912976 0.408013i \(-0.133778\pi\)
−0.906228 + 0.422790i \(0.861051\pi\)
\(80\) −1.64539 + 1.51416i −0.183960 + 0.169289i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) −1.31103 + 3.51502i −0.144780 + 0.388169i
\(83\) 0.922531 0.690598i 0.101261 0.0758030i −0.547447 0.836840i \(-0.684400\pi\)
0.648708 + 0.761037i \(0.275309\pi\)
\(84\) 3.01054 3.47435i 0.328477 0.379083i
\(85\) −12.7875 2.38391i −1.38700 0.258572i
\(86\) 5.06101 7.87508i 0.545743 0.849192i
\(87\) 1.78978 2.39087i 0.191885 0.256328i
\(88\) −6.45459 1.40411i −0.688061 0.149679i
\(89\) 0.183967 + 0.212309i 0.0195004 + 0.0225047i 0.765416 0.643536i \(-0.222533\pi\)
−0.745916 + 0.666040i \(0.767988\pi\)
\(90\) −1.12981 1.92965i −0.119092 0.203403i
\(91\) 12.1225i 1.27078i
\(92\) −0.660856 4.75008i −0.0688990 0.495230i
\(93\) 4.82005 4.82005i 0.499816 0.499816i
\(94\) 0.171986 + 0.585730i 0.0177390 + 0.0604134i
\(95\) −5.81498 + 1.01429i −0.596604 + 0.104064i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) 6.96135 + 5.21120i 0.706818 + 0.529117i 0.891129 0.453751i \(-0.149914\pi\)
−0.184311 + 0.982868i \(0.559005\pi\)
\(98\) 13.8115 3.00450i 1.39517 0.303500i
\(99\) 2.74404 6.00862i 0.275787 0.603889i
\(100\) −1.11952 + 4.87306i −0.111952 + 0.487306i
\(101\) 0.0300202 0.208795i 0.00298712 0.0207759i −0.988273 0.152695i \(-0.951205\pi\)
0.991260 + 0.131919i \(0.0421139\pi\)
\(102\) 5.45049 + 2.03293i 0.539679 + 0.201290i
\(103\) 3.60612 + 6.60411i 0.355321 + 0.650722i 0.992805 0.119742i \(-0.0382066\pi\)
−0.637484 + 0.770464i \(0.720025\pi\)
\(104\) −0.742906 + 2.53010i −0.0728479 + 0.248097i
\(105\) 1.15821 10.2142i 0.113030 0.996809i
\(106\) −3.51682 0.505643i −0.341584 0.0491124i
\(107\) −0.193283 2.70245i −0.0186853 0.261255i −0.998204 0.0599029i \(-0.980921\pi\)
0.979519 0.201352i \(-0.0645336\pi\)
\(108\) 0.349464 + 0.936950i 0.0336272 + 0.0901580i
\(109\) 12.8725 + 8.27266i 1.23296 + 0.792378i 0.984350 0.176225i \(-0.0563887\pi\)
0.248614 + 0.968603i \(0.420025\pi\)
\(110\) −13.6787 + 5.57303i −1.30422 + 0.531368i
\(111\) 5.15950 + 8.02833i 0.489718 + 0.762016i
\(112\) 4.58551 + 0.327962i 0.433290 + 0.0309895i
\(113\) −1.43763 0.785006i −0.135241 0.0738472i 0.410204 0.911994i \(-0.365458\pi\)
−0.545445 + 0.838147i \(0.683639\pi\)
\(114\) 2.63980 0.247240
\(115\) −7.22560 7.92406i −0.673791 0.738922i
\(116\) 2.98656 0.277295
\(117\) −2.31437 1.26374i −0.213963 0.116833i
\(118\) −6.81812 0.487641i −0.627659 0.0448910i
\(119\) 14.4585 + 22.4979i 1.32541 + 2.06238i
\(120\) 0.867694 2.06085i 0.0792092 0.188129i
\(121\) −27.4528 17.6429i −2.49571 1.60390i
\(122\) −4.06801 10.9068i −0.368301 0.987452i
\(123\) −0.267633 3.74200i −0.0241317 0.337405i
\(124\) 6.74719 + 0.970100i 0.605916 + 0.0871175i
\(125\) 4.09786 + 10.4023i 0.366524 + 0.930409i
\(126\) −1.29519 + 4.41100i −0.115384 + 0.392963i
\(127\) −0.675727 1.23750i −0.0599611 0.109811i 0.845979 0.533216i \(-0.179017\pi\)
−0.905940 + 0.423405i \(0.860835\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) −1.33223 + 9.26585i −0.117296 + 0.815812i
\(130\) 1.82952 + 5.60531i 0.160460 + 0.491618i
\(131\) −2.15901 + 4.72758i −0.188634 + 0.413051i −0.980194 0.198041i \(-0.936542\pi\)
0.791560 + 0.611092i \(0.209269\pi\)
\(132\) 6.45459 1.40411i 0.561800 0.122212i
\(133\) 9.71518 + 7.27269i 0.842413 + 0.630622i
\(134\) −5.97651 + 3.84087i −0.516292 + 0.331801i
\(135\) 1.82931 + 1.28593i 0.157442 + 0.110675i
\(136\) 1.63892 + 5.58163i 0.140536 + 0.478621i
\(137\) 7.86645 7.86645i 0.672077 0.672077i −0.286118 0.958194i \(-0.592365\pi\)
0.958194 + 0.286118i \(0.0923649\pi\)
\(138\) 2.57439 + 4.04630i 0.219147 + 0.344444i
\(139\) 3.68232i 0.312330i 0.987731 + 0.156165i \(0.0499132\pi\)
−0.987731 + 0.156165i \(0.950087\pi\)
\(140\) 8.87102 5.19398i 0.749738 0.438971i
\(141\) −0.399765 0.461353i −0.0336663 0.0388529i
\(142\) −5.82995 1.26823i −0.489238 0.106427i
\(143\) −10.4384 + 13.9441i −0.872902 + 1.16606i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) 5.50761 3.77677i 0.457382 0.313644i
\(146\) −6.65074 + 7.67536i −0.550419 + 0.635218i
\(147\) −11.3152 + 8.47047i −0.933264 + 0.698633i
\(148\) −3.33504 + 8.94159i −0.274139 + 0.734994i
\(149\) −0.0518987 0.0152388i −0.00425171 0.00124841i 0.279606 0.960115i \(-0.409796\pi\)
−0.283858 + 0.958866i \(0.591614\pi\)
\(150\) −1.00599 4.89775i −0.0821385 0.399900i
\(151\) 4.65942 + 10.2027i 0.379179 + 0.830285i 0.998964 + 0.0455138i \(0.0144925\pi\)
−0.619785 + 0.784772i \(0.712780\pi\)
\(152\) 1.58197 + 2.11327i 0.128315 + 0.171409i
\(153\) −5.80245 + 0.415000i −0.469101 + 0.0335507i
\(154\) 27.6230 + 12.6150i 2.22592 + 1.01654i
\(155\) 13.6695 6.74343i 1.09796 0.541645i
\(156\) −0.375273 2.61008i −0.0300459 0.208974i
\(157\) 0.504810 2.32057i 0.0402882 0.185202i −0.952605 0.304210i \(-0.901608\pi\)
0.992893 + 0.119008i \(0.0379713\pi\)
\(158\) 0.0103007 0.144023i 0.000819483 0.0114579i
\(159\) 3.40907 1.00099i 0.270357 0.0793839i
\(160\) 2.16979 0.540398i 0.171537 0.0427222i
\(161\) −1.67315 + 21.9839i −0.131863 + 1.73258i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) −5.05537 + 9.25821i −0.395967 + 0.725159i −0.997268 0.0738631i \(-0.976467\pi\)
0.601302 + 0.799022i \(0.294649\pi\)
\(164\) 2.83524 2.45675i 0.221395 0.191840i
\(165\) 10.1275 10.7518i 0.788424 0.837023i
\(166\) −1.14065 + 0.164001i −0.0885320 + 0.0127290i
\(167\) 0.583058 + 2.68027i 0.0451184 + 0.207406i 0.994188 0.107662i \(-0.0343364\pi\)
−0.949069 + 0.315068i \(0.897973\pi\)
\(168\) −4.30737 + 1.60657i −0.332321 + 0.123949i
\(169\) −4.56976 3.95972i −0.351520 0.304594i
\(170\) 10.0808 + 8.22071i 0.773165 + 0.630500i
\(171\) −2.40125 + 1.09661i −0.183628 + 0.0838601i
\(172\) −8.21607 + 4.48631i −0.626469 + 0.342078i
\(173\) 14.7436 8.05064i 1.12094 0.612079i 0.191661 0.981461i \(-0.438613\pi\)
0.929277 + 0.369383i \(0.120431\pi\)
\(174\) −2.71667 + 1.24066i −0.205950 + 0.0940544i
\(175\) 9.79108 20.7966i 0.740136 1.57207i
\(176\) 4.99214 + 4.32571i 0.376297 + 0.326063i
\(177\) 6.40455 2.38877i 0.481396 0.179551i
\(178\) −0.0597148 0.274505i −0.00447582 0.0205750i
\(179\) 24.1115 3.46671i 1.80218 0.259114i 0.842195 0.539173i \(-0.181263\pi\)
0.959983 + 0.280059i \(0.0903540\pi\)
\(180\) 0.0668266 + 2.23507i 0.00498096 + 0.166592i
\(181\) −5.71531 + 4.95235i −0.424816 + 0.368105i −0.840872 0.541234i \(-0.817957\pi\)
0.416056 + 0.909339i \(0.363412\pi\)
\(182\) 5.80970 10.6397i 0.430643 0.788665i
\(183\) 8.23123 + 8.23123i 0.608470 + 0.608470i
\(184\) −1.69645 + 4.48576i −0.125064 + 0.330695i
\(185\) 5.15717 + 20.7069i 0.379163 + 1.52240i
\(186\) −6.54046 + 1.92045i −0.479569 + 0.140814i
\(187\) −2.74130 + 38.3284i −0.200464 + 2.80285i
\(188\) 0.129762 0.596507i 0.00946388 0.0435047i
\(189\) −0.654253 4.55043i −0.0475899 0.330995i
\(190\) 5.58978 + 1.89660i 0.405525 + 0.137594i
\(191\) 2.23263 + 1.01961i 0.161548 + 0.0737763i 0.494548 0.869150i \(-0.335334\pi\)
−0.333000 + 0.942927i \(0.608061\pi\)
\(192\) −0.997452 + 0.0713392i −0.0719849 + 0.00514846i
\(193\) −12.8252 17.1324i −0.923175 1.23322i −0.972136 0.234417i \(-0.924682\pi\)
0.0489606 0.998801i \(-0.484409\pi\)
\(194\) −3.61237 7.90998i −0.259353 0.567904i
\(195\) −3.99272 4.33876i −0.285925 0.310705i
\(196\) −13.5619 3.98214i −0.968709 0.284439i
\(197\) 2.65660 7.12261i 0.189275 0.507465i −0.807302 0.590139i \(-0.799073\pi\)
0.996577 + 0.0826734i \(0.0263458\pi\)
\(198\) −5.28801 + 3.95856i −0.375803 + 0.281322i
\(199\) −11.3355 + 13.0819i −0.803553 + 0.927350i −0.998571 0.0534501i \(-0.982978\pi\)
0.195017 + 0.980800i \(0.437524\pi\)
\(200\) 3.31799 3.74045i 0.234617 0.264490i
\(201\) 3.84087 5.97651i 0.270914 0.421551i
\(202\) −0.126413 + 0.168868i −0.00889437 + 0.0118815i
\(203\) −13.4161 2.91850i −0.941627 0.204838i
\(204\) −3.80950 4.39640i −0.266719 0.307810i
\(205\) 2.12178 8.11597i 0.148191 0.566844i
\(206\) 7.52451i 0.524258i
\(207\) −4.02264 2.61120i −0.279593 0.181491i
\(208\) 1.86458 1.86458i 0.129286 0.129286i
\(209\) 4.91266 + 16.7310i 0.339816 + 1.15731i
\(210\) −5.91171 + 8.40976i −0.407947 + 0.580329i
\(211\) 3.84365 2.47016i 0.264608 0.170053i −0.401609 0.915811i \(-0.631549\pi\)
0.666217 + 0.745758i \(0.267913\pi\)
\(212\) 2.84431 + 2.12923i 0.195348 + 0.146236i
\(213\) 5.82995 1.26823i 0.399461 0.0868975i
\(214\) −1.12550 + 2.46451i −0.0769379 + 0.168470i
\(215\) −9.47816 + 18.6633i −0.646405 + 1.27283i
\(216\) 0.142315 0.989821i 0.00968330 0.0673488i
\(217\) −29.3615 10.9513i −1.99319 0.743421i
\(218\) −7.33327 13.4299i −0.496672 0.909587i
\(219\) 2.86126 9.74457i 0.193346 0.658477i
\(220\) 14.6764 + 1.66418i 0.989483 + 0.112199i
\(221\) 15.1835 + 2.18306i 1.02136 + 0.146849i
\(222\) −0.680811 9.51898i −0.0456930 0.638872i
\(223\) −2.76645 7.41714i −0.185255 0.496689i 0.810810 0.585309i \(-0.199027\pi\)
−0.996065 + 0.0886206i \(0.971754\pi\)
\(224\) −3.86743 2.48545i −0.258404 0.166066i
\(225\) 2.94968 + 4.03725i 0.196645 + 0.269150i
\(226\) 0.885566 + 1.37797i 0.0589070 + 0.0916610i
\(227\) −4.65874 0.333200i −0.309212 0.0221152i −0.0841288 0.996455i \(-0.526811\pi\)
−0.225083 + 0.974340i \(0.572265\pi\)
\(228\) −2.31690 1.26512i −0.153440 0.0837848i
\(229\) 18.2568 1.20644 0.603220 0.797575i \(-0.293884\pi\)
0.603220 + 0.797575i \(0.293884\pi\)
\(230\) 2.54416 + 10.4176i 0.167757 + 0.686919i
\(231\) −30.3672 −1.99801
\(232\) −2.62124 1.43131i −0.172093 0.0939699i
\(233\) 11.3358 + 0.810752i 0.742632 + 0.0531141i 0.437528 0.899205i \(-0.355854\pi\)
0.305104 + 0.952319i \(0.401309\pi\)
\(234\) 1.42563 + 2.21832i 0.0931961 + 0.145016i
\(235\) −0.515037 1.26413i −0.0335973 0.0824629i
\(236\) 5.75042 + 3.69557i 0.374320 + 0.240561i
\(237\) 0.0504595 + 0.135287i 0.00327770 + 0.00878785i
\(238\) −1.90785 26.6752i −0.123667 1.72909i
\(239\) −26.8261 3.85701i −1.73524 0.249489i −0.799118 0.601174i \(-0.794700\pi\)
−0.936118 + 0.351685i \(0.885609\pi\)
\(240\) −1.74922 + 1.39292i −0.112911 + 0.0899129i
\(241\) −2.87903 + 9.80509i −0.185455 + 0.631601i 0.813306 + 0.581836i \(0.197666\pi\)
−0.998761 + 0.0497653i \(0.984153\pi\)
\(242\) 15.6394 + 28.6415i 1.00534 + 1.84115i
\(243\) 0.936950 + 0.349464i 0.0601054 + 0.0224181i
\(244\) −1.65665 + 11.5222i −0.106056 + 0.737635i
\(245\) −30.0457 + 9.80666i −1.91955 + 0.626524i
\(246\) −1.55845 + 3.41254i −0.0993633 + 0.217575i
\(247\) 6.80186 1.47965i 0.432792 0.0941482i
\(248\) −5.45695 4.08502i −0.346517 0.259399i
\(249\) 0.969447 0.623026i 0.0614362 0.0394827i
\(250\) 1.38868 11.0938i 0.0878278 0.701631i
\(251\) 6.24779 + 21.2780i 0.394357 + 1.34306i 0.882508 + 0.470297i \(0.155853\pi\)
−0.488151 + 0.872759i \(0.662329\pi\)
\(252\) 3.25073 3.25073i 0.204777 0.204777i
\(253\) −20.8544 + 23.8466i −1.31110 + 1.49922i
\(254\) 1.40997i 0.0884695i
\(255\) −12.5849 3.29009i −0.788095 0.206033i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −16.3242 3.55111i −1.01827 0.221512i −0.327706 0.944780i \(-0.606276\pi\)
−0.690568 + 0.723268i \(0.742639\pi\)
\(258\) 5.60992 7.49397i 0.349258 0.466554i
\(259\) 23.7194 36.9080i 1.47385 2.29335i
\(260\) 1.08061 5.79646i 0.0670163 0.359481i
\(261\) 1.95578 2.25709i 0.121060 0.139711i
\(262\) 4.16061 3.11459i 0.257043 0.192420i
\(263\) 5.44339 14.5943i 0.335654 0.899923i −0.654006 0.756489i \(-0.726913\pi\)
0.989660 0.143434i \(-0.0458143\pi\)
\(264\) −6.33797 1.86100i −0.390075 0.114536i
\(265\) 7.93788 + 0.329688i 0.487620 + 0.0202526i
\(266\) −5.04138 11.0391i −0.309107 0.676849i
\(267\) 0.168352 + 0.224892i 0.0103030 + 0.0137632i
\(268\) 7.08619 0.506814i 0.432858 0.0309586i
\(269\) −22.2705 10.1706i −1.35786 0.620113i −0.402460 0.915437i \(-0.631845\pi\)
−0.955397 + 0.295325i \(0.904572\pi\)
\(270\) −0.989269 2.00533i −0.0602050 0.122040i
\(271\) −1.22298 8.50602i −0.0742908 0.516704i −0.992656 0.120970i \(-0.961399\pi\)
0.918365 0.395734i \(-0.129510\pi\)
\(272\) 1.23655 5.68433i 0.0749769 0.344663i
\(273\) −0.864810 + 12.0916i −0.0523407 + 0.731818i
\(274\) −10.6742 + 3.13423i −0.644853 + 0.189346i
\(275\) 29.1697 15.4906i 1.75900 0.934120i
\(276\) −0.320305 4.78512i −0.0192801 0.288031i
\(277\) 7.66273 + 7.66273i 0.460409 + 0.460409i 0.898789 0.438381i \(-0.144448\pi\)
−0.438381 + 0.898789i \(0.644448\pi\)
\(278\) 1.76475 3.23190i 0.105843 0.193836i
\(279\) 5.15162 4.46391i 0.308420 0.267247i
\(280\) −10.2751 + 0.307217i −0.614055 + 0.0183597i
\(281\) −25.9882 + 3.73654i −1.55033 + 0.222903i −0.863662 0.504071i \(-0.831835\pi\)
−0.686665 + 0.726974i \(0.740926\pi\)
\(282\) 0.129762 + 0.596507i 0.00772722 + 0.0355215i
\(283\) −4.54288 + 1.69441i −0.270046 + 0.100722i −0.480839 0.876809i \(-0.659668\pi\)
0.210793 + 0.977531i \(0.432395\pi\)
\(284\) 4.50902 + 3.90709i 0.267561 + 0.231843i
\(285\) −5.87252 + 0.596871i −0.347858 + 0.0353556i
\(286\) 15.8442 7.23582i 0.936889 0.427863i
\(287\) −15.1371 + 8.26549i −0.893515 + 0.487896i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) 15.3188 6.99587i 0.901107 0.411522i
\(290\) −6.64393 + 0.675275i −0.390145 + 0.0396535i
\(291\) 6.57185 + 5.69454i 0.385249 + 0.333820i
\(292\) 9.51562 3.54914i 0.556860 0.207698i
\(293\) 4.78434 + 21.9932i 0.279504 + 1.28486i 0.876027 + 0.482263i \(0.160185\pi\)
−0.596523 + 0.802596i \(0.703451\pi\)
\(294\) 13.9906 2.01154i 0.815948 0.117316i
\(295\) 15.2779 0.456796i 0.889513 0.0265957i
\(296\) 7.21234 6.24953i 0.419209 0.363247i
\(297\) 3.16570 5.79755i 0.183693 0.336408i
\(298\) 0.0382472 + 0.0382472i 0.00221560 + 0.00221560i
\(299\) 8.90134 + 8.98293i 0.514778 + 0.519496i
\(300\) −1.46431 + 4.78077i −0.0845420 + 0.276018i
\(301\) 41.2920 12.1244i 2.38003 0.698840i
\(302\) 0.800163 11.1877i 0.0460442 0.643782i
\(303\) 0.0448389 0.206121i 0.00257593 0.0118414i
\(304\) −0.375683 2.61293i −0.0215469 0.149862i
\(305\) 11.5158 + 23.3435i 0.659393 + 1.33664i
\(306\) 5.29158 + 2.41658i 0.302499 + 0.138147i
\(307\) 7.09824 0.507676i 0.405118 0.0289746i 0.132706 0.991155i \(-0.457633\pi\)
0.272412 + 0.962181i \(0.412179\pi\)
\(308\) −18.1984 24.3102i −1.03695 1.38520i
\(309\) 3.12580 + 6.84454i 0.177820 + 0.389372i
\(310\) −15.2292 0.632521i −0.864960 0.0359248i
\(311\) 9.88363 + 2.90209i 0.560449 + 0.164563i 0.549674 0.835379i \(-0.314752\pi\)
0.0107750 + 0.999942i \(0.496570\pi\)
\(312\) −0.921509 + 2.47066i −0.0521701 + 0.139874i
\(313\) −6.43220 + 4.81509i −0.363569 + 0.272165i −0.765407 0.643546i \(-0.777462\pi\)
0.401838 + 0.915711i \(0.368372\pi\)
\(314\) −1.55519 + 1.79479i −0.0877646 + 0.101286i
\(315\) 1.88394 10.1056i 0.106148 0.569386i
\(316\) −0.0780637 + 0.121470i −0.00439143 + 0.00683319i
\(317\) −18.0844 + 24.1579i −1.01572 + 1.35684i −0.0828766 + 0.996560i \(0.526411\pi\)
−0.932843 + 0.360283i \(0.882680\pi\)
\(318\) −3.47179 0.755242i −0.194688 0.0423519i
\(319\) −12.9190 14.9093i −0.723326 0.834762i
\(320\) −2.16336 0.565572i −0.120936 0.0316164i
\(321\) 2.70935i 0.151221i
\(322\) 12.0043 18.4930i 0.668972 1.03057i
\(323\) 10.8587 10.8587i 0.604191 0.604191i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) −5.33736 12.0560i −0.296063 0.668744i
\(326\) 8.87398 5.70296i 0.491484 0.315858i
\(327\) 12.2496 + 9.16990i 0.677402 + 0.507097i
\(328\) −3.66582 + 0.797451i −0.202411 + 0.0440319i
\(329\) −1.16583 + 2.55280i −0.0642740 + 0.140740i
\(330\) −14.0414 + 4.58300i −0.772956 + 0.252286i
\(331\) 1.41134 9.81612i 0.0775745 0.539543i −0.913562 0.406699i \(-0.866680\pi\)
0.991137 0.132844i \(-0.0424110\pi\)
\(332\) 1.07973 + 0.402717i 0.0592577 + 0.0221020i
\(333\) 4.57362 + 8.37595i 0.250633 + 0.458999i
\(334\) 0.772781 2.63185i 0.0422847 0.144008i
\(335\) 12.4270 9.89574i 0.678957 0.540662i
\(336\) 4.55043 + 0.654253i 0.248246 + 0.0356924i
\(337\) 0.0139026 + 0.194384i 0.000757324 + 0.0105888i 0.997817 0.0660438i \(-0.0210377\pi\)
−0.997059 + 0.0766326i \(0.975583\pi\)
\(338\) 2.11309 + 5.66542i 0.114937 + 0.308158i
\(339\) −1.37797 0.885566i −0.0748409 0.0480973i
\(340\) −4.90798 12.0464i −0.266172 0.653307i
\(341\) −24.3435 37.8793i −1.31828 2.05128i
\(342\) 2.63308 + 0.188321i 0.142380 + 0.0101832i
\(343\) 28.7868 + 15.7188i 1.55434 + 0.848734i
\(344\) 9.36113 0.504718
\(345\) −6.64189 8.41934i −0.357588 0.453282i
\(346\) −16.7984 −0.903090
\(347\) −20.4595 11.1717i −1.09832 0.599729i −0.175315 0.984512i \(-0.556094\pi\)
−0.923007 + 0.384783i \(0.874276\pi\)
\(348\) 2.97895 + 0.213059i 0.159689 + 0.0114212i
\(349\) −9.68031 15.0629i −0.518175 0.806297i 0.479275 0.877665i \(-0.340900\pi\)
−0.997450 + 0.0713684i \(0.977263\pi\)
\(350\) −18.5601 + 13.5603i −0.992082 + 0.724830i
\(351\) −2.21832 1.42563i −0.118405 0.0760943i
\(352\) −2.30840 6.18906i −0.123038 0.329878i
\(353\) −1.52690 21.3489i −0.0812687 1.13628i −0.860467 0.509507i \(-0.829828\pi\)
0.779198 0.626778i \(-0.215627\pi\)
\(354\) −6.76596 0.972798i −0.359607 0.0517036i
\(355\) 13.2561 + 1.50313i 0.703560 + 0.0797779i
\(356\) −0.0791456 + 0.269545i −0.00419471 + 0.0142859i
\(357\) 12.8167 + 23.4720i 0.678332 + 1.24227i
\(358\) −22.8236 8.51275i −1.20626 0.449913i
\(359\) 1.54171 10.7228i 0.0813683 0.565929i −0.907829 0.419340i \(-0.862262\pi\)
0.989198 0.146589i \(-0.0468294\pi\)
\(360\) 1.01250 1.99370i 0.0533636 0.105077i
\(361\) −4.99804 + 10.9442i −0.263055 + 0.576010i
\(362\) 7.38962 1.60751i 0.388390 0.0844890i
\(363\) −26.1242 19.5564i −1.37117 1.02644i
\(364\) −10.1981 + 6.55392i −0.534526 + 0.343519i
\(365\) 13.0599 18.5784i 0.683584 0.972439i
\(366\) −3.27957 11.1692i −0.171426 0.583823i
\(367\) −17.7638 + 17.7638i −0.927263 + 0.927263i −0.997528 0.0702658i \(-0.977615\pi\)
0.0702658 + 0.997528i \(0.477615\pi\)
\(368\) 3.63874 3.12404i 0.189682 0.162852i
\(369\) 3.75156i 0.195298i
\(370\) 5.39742 20.6456i 0.280599 1.07331i
\(371\) −10.6964 12.3443i −0.555330 0.640885i
\(372\) 6.66079 + 1.44897i 0.345346 + 0.0751255i
\(373\) −2.76255 + 3.69033i −0.143039 + 0.191078i −0.866339 0.499456i \(-0.833533\pi\)
0.723300 + 0.690534i \(0.242624\pi\)
\(374\) 20.7748 32.3262i 1.07424 1.67155i
\(375\) 3.34533 + 10.6681i 0.172752 + 0.550899i
\(376\) −0.399765 + 0.461353i −0.0206163 + 0.0237925i
\(377\) −6.30452 + 4.71950i −0.324699 + 0.243067i
\(378\) −1.60657 + 4.30737i −0.0826328 + 0.221547i
\(379\) −30.9791 9.09628i −1.59129 0.467244i −0.638183 0.769885i \(-0.720314\pi\)
−0.953105 + 0.302640i \(0.902132\pi\)
\(380\) −3.99709 4.34350i −0.205046 0.222817i
\(381\) −0.585723 1.28256i −0.0300075 0.0657073i
\(382\) −1.47089 1.96488i −0.0752572 0.100532i
\(383\) −1.32167 + 0.0945275i −0.0675340 + 0.00483013i −0.105065 0.994465i \(-0.533505\pi\)
0.0375313 + 0.999295i \(0.488051\pi\)
\(384\) 0.909632 + 0.415415i 0.0464195 + 0.0211991i
\(385\) −64.3025 21.8177i −3.27716 1.11193i
\(386\) 3.04568 + 21.1832i 0.155021 + 1.07820i
\(387\) −1.98985 + 9.14720i −0.101150 + 0.464978i
\(388\) −0.620352 + 8.67365i −0.0314936 + 0.440338i
\(389\) −24.8409 + 7.29394i −1.25948 + 0.369818i −0.842302 0.539006i \(-0.818800\pi\)
−0.417181 + 0.908823i \(0.636982\pi\)
\(390\) 1.42498 + 5.72155i 0.0721569 + 0.289722i
\(391\) 27.2338 + 6.05459i 1.37727 + 0.306194i
\(392\) 9.99458 + 9.99458i 0.504802 + 0.504802i
\(393\) −2.49077 + 4.56151i −0.125643 + 0.230098i
\(394\) −5.74514 + 4.97820i −0.289436 + 0.250798i
\(395\) 0.00964917 + 0.322724i 0.000485502 + 0.0162380i
\(396\) 6.53831 0.940067i 0.328562 0.0472402i
\(397\) −4.61693 21.2237i −0.231717 1.06519i −0.935103 0.354377i \(-0.884693\pi\)
0.703386 0.710808i \(-0.251671\pi\)
\(398\) 16.2184 6.04916i 0.812956 0.303217i
\(399\) 9.17160 + 7.94723i 0.459154 + 0.397859i
\(400\) −4.70473 + 1.69277i −0.235237 + 0.0846385i
\(401\) −34.1587 + 15.5997i −1.70580 + 0.779014i −0.708493 + 0.705718i \(0.750624\pi\)
−0.997310 + 0.0732959i \(0.976648\pi\)
\(402\) −6.23529 + 3.40473i −0.310988 + 0.169812i
\(403\) −15.7761 + 8.61438i −0.785862 + 0.429113i
\(404\) 0.191880 0.0876284i 0.00954636 0.00435968i
\(405\) 1.73291 + 1.41315i 0.0861092 + 0.0702202i
\(406\) 10.3764 + 8.99117i 0.514970 + 0.446224i
\(407\) 59.0641 22.0298i 2.92770 1.09197i
\(408\) 1.23655 + 5.68433i 0.0612184 + 0.281416i
\(409\) −20.4260 + 2.93681i −1.01000 + 0.145216i −0.627399 0.778698i \(-0.715881\pi\)
−0.382601 + 0.923914i \(0.624972\pi\)
\(410\) −5.75181 + 6.10636i −0.284062 + 0.301571i
\(411\) 8.40760 7.28523i 0.414716 0.359354i
\(412\) −3.60612 + 6.60411i −0.177661 + 0.325361i
\(413\) −22.2205 22.2205i −1.09340 1.09340i
\(414\) 2.27917 + 4.21964i 0.112015 + 0.207384i
\(415\) 2.50043 0.622746i 0.122741 0.0305694i
\(416\) −2.53010 + 0.742906i −0.124049 + 0.0364240i
\(417\) −0.262694 + 3.67294i −0.0128642 + 0.179865i
\(418\) 3.70657 17.0388i 0.181294 0.833397i
\(419\) −0.138226 0.961386i −0.00675281 0.0469668i 0.986166 0.165758i \(-0.0530071\pi\)
−0.992919 + 0.118791i \(0.962098\pi\)
\(420\) 9.21895 4.54789i 0.449839 0.221914i
\(421\) 30.7197 + 14.0292i 1.49719 + 0.683743i 0.984589 0.174885i \(-0.0559554\pi\)
0.512599 + 0.858628i \(0.328683\pi\)
\(422\) −4.55731 + 0.325945i −0.221846 + 0.0158668i
\(423\) −0.365834 0.488697i −0.0177874 0.0237612i
\(424\) −1.47596 3.23191i −0.0716792 0.156956i
\(425\) −24.2846 16.0085i −1.17798 0.776528i
\(426\) −5.72462 1.68090i −0.277359 0.0814398i
\(427\) 18.7016 50.1408i 0.905032 2.42649i
\(428\) 2.16895 1.62365i 0.104840 0.0784822i
\(429\) −11.4066 + 13.1639i −0.550713 + 0.635557i
\(430\) 17.2631 11.8380i 0.832503 0.570878i
\(431\) 6.14843 9.56714i 0.296159 0.460833i −0.661004 0.750383i \(-0.729869\pi\)
0.957163 + 0.289550i \(0.0935055\pi\)
\(432\) −0.599278 + 0.800541i −0.0288328 + 0.0385161i
\(433\) 10.0778 + 2.19230i 0.484310 + 0.105355i 0.448090 0.893989i \(-0.352105\pi\)
0.0362203 + 0.999344i \(0.488468\pi\)
\(434\) 20.5216 + 23.6832i 0.985067 + 1.13683i
\(435\) 5.76301 3.37424i 0.276315 0.161782i
\(436\) 15.3016i 0.732813i
\(437\) 12.5393 1.74453i 0.599835 0.0834521i
\(438\) −7.18135 + 7.18135i −0.343138 + 0.343138i
\(439\) 0.994162 + 3.38580i 0.0474487 + 0.161596i 0.979809 0.199934i \(-0.0640728\pi\)
−0.932361 + 0.361530i \(0.882255\pi\)
\(440\) −12.0836 8.49427i −0.576063 0.404948i
\(441\) −11.8907 + 7.64167i −0.566222 + 0.363889i
\(442\) −12.2800 9.19273i −0.584102 0.437253i
\(443\) 22.6969 4.93741i 1.07836 0.234584i 0.361906 0.932215i \(-0.382126\pi\)
0.716457 + 0.697631i \(0.245762\pi\)
\(444\) −3.96443 + 8.68089i −0.188143 + 0.411977i
\(445\) 0.194909 + 0.597163i 0.00923956 + 0.0283083i
\(446\) −1.12660 + 7.83569i −0.0533461 + 0.371031i
\(447\) −0.0506794 0.0189024i −0.00239705 0.000894054i
\(448\) 2.20321 + 4.03489i 0.104092 + 0.190630i
\(449\) −1.74942 + 5.95799i −0.0825604 + 0.281175i −0.990418 0.138104i \(-0.955899\pi\)
0.907857 + 0.419279i \(0.137717\pi\)
\(450\) −0.654022 4.95704i −0.0308309 0.233677i
\(451\) −24.5288 3.52672i −1.15502 0.166067i
\(452\) −0.116853 1.63382i −0.00549631 0.0768484i
\(453\) 3.91970 + 10.5091i 0.184164 + 0.493762i
\(454\) 3.92919 + 2.52514i 0.184406 + 0.118511i
\(455\) −10.5186 + 24.9827i −0.493121 + 1.17121i
\(456\) 1.42718 + 2.22074i 0.0668340 + 0.103996i
\(457\) 28.5264 + 2.04025i 1.33441 + 0.0954388i 0.720234 0.693731i \(-0.244034\pi\)
0.614175 + 0.789170i \(0.289489\pi\)
\(458\) −16.0236 8.74953i −0.748732 0.408839i
\(459\) −5.81727 −0.271527
\(460\) 2.75969 10.3626i 0.128671 0.483160i
\(461\) 18.5368 0.863346 0.431673 0.902030i \(-0.357923\pi\)
0.431673 + 0.902030i \(0.357923\pi\)
\(462\) 26.6526 + 14.5534i 1.23999 + 0.677087i
\(463\) 31.9294 + 2.28363i 1.48388 + 0.106129i 0.789622 0.613594i \(-0.210277\pi\)
0.694261 + 0.719723i \(0.255731\pi\)
\(464\) 1.61466 + 2.51246i 0.0749586 + 0.116638i
\(465\) 14.1157 5.75107i 0.654601 0.266700i
\(466\) −9.56063 6.14424i −0.442888 0.284627i
\(467\) −9.55043 25.6057i −0.441941 1.18489i −0.946838 0.321710i \(-0.895742\pi\)
0.504897 0.863180i \(-0.331530\pi\)
\(468\) −0.188116 2.63020i −0.00869565 0.121581i
\(469\) −32.3276 4.64801i −1.49275 0.214625i
\(470\) −0.153797 + 1.35633i −0.00709412 + 0.0625630i
\(471\) 0.669071 2.27865i 0.0308292 0.104995i
\(472\) −3.27592 5.99940i −0.150787 0.276145i
\(473\) 57.9366 + 21.6092i 2.66393 + 0.993594i
\(474\) 0.0205490 0.142921i 0.000943847 0.00656460i
\(475\) −12.8639 2.95532i −0.590236 0.135599i
\(476\) −11.1096 + 24.3266i −0.509207 + 1.11501i
\(477\) 3.47179 0.755242i 0.158962 0.0345802i
\(478\) 21.6962 + 16.2416i 0.992363 + 0.742874i
\(479\) 1.62976 1.04738i 0.0744655 0.0478561i −0.502878 0.864357i \(-0.667726\pi\)
0.577344 + 0.816501i \(0.304089\pi\)
\(480\) 2.20281 0.384230i 0.100544 0.0175376i
\(481\) −7.08977 24.1455i −0.323266 1.10094i
\(482\) 7.22595 7.22595i 0.329133 0.329133i
\(483\) −3.23721 + 21.8086i −0.147298 + 0.992324i
\(484\) 32.6332i 1.48333i
\(485\) 9.82458 + 16.7798i 0.446111 + 0.761933i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) 1.86185 + 0.405021i 0.0843685 + 0.0183532i 0.254551 0.967059i \(-0.418072\pi\)
−0.170183 + 0.985412i \(0.554436\pi\)
\(488\) 6.97602 9.31887i 0.315790 0.421846i
\(489\) −5.70296 + 8.87398i −0.257897 + 0.401295i
\(490\) 31.0703 + 5.79229i 1.40361 + 0.261669i
\(491\) 12.5772 14.5149i 0.567602 0.655048i −0.397290 0.917693i \(-0.630049\pi\)
0.964893 + 0.262645i \(0.0845948\pi\)
\(492\) 3.00328 2.24822i 0.135398 0.101358i
\(493\) −6.07147 + 16.2782i −0.273445 + 0.733135i
\(494\) −6.67897 1.96112i −0.300501 0.0882351i
\(495\) 10.8687 10.0019i 0.488512 0.449551i
\(496\) 2.83171 + 6.20057i 0.127147 + 0.278414i
\(497\) −16.4372 21.9576i −0.737310 0.984931i
\(498\) −1.14945 + 0.0822102i −0.0515080 + 0.00368393i
\(499\) −22.4298 10.2433i −1.00409 0.458554i −0.155635 0.987815i \(-0.549742\pi\)
−0.848460 + 0.529260i \(0.822470\pi\)
\(500\) −6.53549 + 9.07124i −0.292276 + 0.405678i
\(501\) 0.390364 + 2.71504i 0.0174402 + 0.121299i
\(502\) 4.71391 21.6695i 0.210392 0.967157i
\(503\) −1.37217 + 19.1855i −0.0611822 + 0.855438i 0.870501 + 0.492167i \(0.163795\pi\)
−0.931683 + 0.363272i \(0.881660\pi\)
\(504\) −4.41100 + 1.29519i −0.196482 + 0.0576922i
\(505\) 0.243037 0.404247i 0.0108150 0.0179887i
\(506\) 29.7319 10.9352i 1.32174 0.486128i
\(507\) −4.27563 4.27563i −0.189888 0.189888i
\(508\) 0.675727 1.23750i 0.0299806 0.0549053i
\(509\) −6.08706 + 5.27447i −0.269804 + 0.233787i −0.779246 0.626719i \(-0.784398\pi\)
0.509441 + 0.860505i \(0.329852\pi\)
\(510\) 9.46870 + 8.91892i 0.419281 + 0.394937i
\(511\) −46.2140 + 6.64457i −2.04439 + 0.293938i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) −2.47336 + 0.922516i −0.109202 + 0.0407301i
\(514\) 12.6255 + 10.9401i 0.556888 + 0.482546i
\(515\) 1.70133 + 16.7391i 0.0749693 + 0.737612i
\(516\) −8.51518 + 3.88875i −0.374860 + 0.171193i
\(517\) −3.53916 + 1.93253i −0.155652 + 0.0849924i
\(518\) −38.5061 + 21.0259i −1.69186 + 0.923827i
\(519\) 15.2804 6.97832i 0.670735 0.306314i
\(520\) −3.72637 + 4.56955i −0.163412 + 0.200388i
\(521\) 4.32484 + 3.74750i 0.189475 + 0.164181i 0.744432 0.667698i \(-0.232720\pi\)
−0.554958 + 0.831879i \(0.687266\pi\)
\(522\) −2.79826 + 1.04370i −0.122476 + 0.0456814i
\(523\) 5.34614 + 24.5758i 0.233770 + 1.07462i 0.933042 + 0.359768i \(0.117144\pi\)
−0.699272 + 0.714856i \(0.746492\pi\)
\(524\) −5.14434 + 0.739645i −0.224732 + 0.0323115i
\(525\) 11.2497 20.0451i 0.490979 0.874839i
\(526\) −11.7719 + 10.2004i −0.513277 + 0.444757i
\(527\) −19.0041 + 34.8034i −0.827831 + 1.51606i
\(528\) 4.67083 + 4.67083i 0.203272 + 0.203272i
\(529\) 14.9026 + 17.5189i 0.647938 + 0.761693i
\(530\) −6.80891 4.09358i −0.295760 0.177814i
\(531\) 6.55865 1.92579i 0.284621 0.0835723i
\(532\) −0.865755 + 12.1048i −0.0375352 + 0.524811i
\(533\) −2.10281 + 9.66647i −0.0910829 + 0.418701i
\(534\) −0.0399798 0.278065i −0.00173009 0.0120331i
\(535\) 1.94657 5.73705i 0.0841575 0.248034i
\(536\) −6.46229 2.95123i −0.279129 0.127474i
\(537\) 24.2974 1.73778i 1.04851 0.0749909i
\(538\) 14.6721 + 19.5996i 0.632560 + 0.845001i
\(539\) 38.7856 + 84.9286i 1.67061 + 3.65813i
\(540\) −0.0927917 + 2.23414i −0.00399312 + 0.0961422i
\(541\) −3.26182 0.957758i −0.140237 0.0411772i 0.210861 0.977516i \(-0.432373\pi\)
−0.351098 + 0.936339i \(0.614191\pi\)
\(542\) −3.00312 + 8.05166i −0.128995 + 0.345849i
\(543\) −6.05405 + 4.53200i −0.259804 + 0.194487i
\(544\) −3.80950 + 4.39640i −0.163331 + 0.188494i
\(545\) 19.3502 + 28.2181i 0.828872 + 1.20873i
\(546\) 6.55392 10.1981i 0.280482 0.436438i
\(547\) −4.87119 + 6.50715i −0.208277 + 0.278226i −0.892500 0.451047i \(-0.851051\pi\)
0.684223 + 0.729273i \(0.260142\pi\)
\(548\) 10.8706 + 2.36476i 0.464369 + 0.101017i
\(549\) 7.62305 + 8.79747i 0.325344 + 0.375467i
\(550\) −33.0255 0.383754i −1.40821 0.0163633i
\(551\) 7.88393i 0.335867i
\(552\) −2.01214 + 4.35331i −0.0856424 + 0.185289i
\(553\) 0.469376 0.469376i 0.0199599 0.0199599i
\(554\) −3.05306 10.3978i −0.129712 0.441759i
\(555\) 3.66682 + 21.0221i 0.155648 + 0.892337i
\(556\) −3.09776 + 1.99081i −0.131374 + 0.0844293i
\(557\) 13.0932 + 9.80143i 0.554775 + 0.415300i 0.839540 0.543298i \(-0.182825\pi\)
−0.284765 + 0.958597i \(0.591915\pi\)
\(558\) −6.66079 + 1.44897i −0.281974 + 0.0613397i
\(559\) 10.2543 22.4538i 0.433712 0.949696i
\(560\) 9.16548 + 4.65470i 0.387312 + 0.196697i
\(561\) −5.46863 + 38.0351i −0.230886 + 1.60585i
\(562\) 24.6000 + 9.17534i 1.03769 + 0.387038i
\(563\) 8.91765 + 16.3315i 0.375834 + 0.688289i 0.995311 0.0967258i \(-0.0308370\pi\)
−0.619477 + 0.785015i \(0.712655\pi\)
\(564\) 0.171986 0.585730i 0.00724191 0.0246637i
\(565\) −2.28160 2.86521i −0.0959876 0.120540i
\(566\) 4.79923 + 0.690026i 0.201727 + 0.0290039i
\(567\) −0.327962 4.58551i −0.0137731 0.192573i
\(568\) −2.08501 5.59012i −0.0874849 0.234556i
\(569\) −26.2311 16.8577i −1.09966 0.706711i −0.140647 0.990060i \(-0.544918\pi\)
−0.959017 + 0.283349i \(0.908555\pi\)
\(570\) 5.44024 + 2.29054i 0.227867 + 0.0959401i
\(571\) −12.1631 18.9261i −0.509008 0.792032i 0.487708 0.873007i \(-0.337833\pi\)
−0.996716 + 0.0809750i \(0.974197\pi\)
\(572\) −17.3739 1.24261i −0.726439 0.0519560i
\(573\) 2.15421 + 1.17629i 0.0899932 + 0.0491400i
\(574\) 17.2467 0.719865
\(575\) −8.01523 22.5999i −0.334258 0.942482i
\(576\) −1.00000 −0.0416667
\(577\) 26.5413 + 14.4927i 1.10493 + 0.603338i 0.924857 0.380315i \(-0.124185\pi\)
0.180074 + 0.983653i \(0.442366\pi\)
\(578\) −16.7978 1.20140i −0.698695 0.0499717i
\(579\) −11.5703 18.0037i −0.480844 0.748208i
\(580\) 6.15486 + 2.59142i 0.255567 + 0.107603i
\(581\) −4.45677 2.86419i −0.184898 0.118827i
\(582\) −3.03887 8.14753i −0.125965 0.337726i
\(583\) −1.67429 23.4096i −0.0693420 0.969528i
\(584\) −10.0526 1.44534i −0.415979 0.0598088i
\(585\) −3.67303 4.61254i −0.151861 0.190705i
\(586\) 6.34113 21.5959i 0.261949 0.892118i
\(587\) −1.20576 2.20818i −0.0497669 0.0911413i 0.851612 0.524173i \(-0.175626\pi\)
−0.901379 + 0.433032i \(0.857444\pi\)
\(588\) −13.2433 4.93949i −0.546144 0.203701i
\(589\) −2.56087 + 17.8112i −0.105519 + 0.733900i
\(590\) −13.6280 6.92099i −0.561056 0.284933i
\(591\) 3.15795 6.91495i 0.129901 0.284443i
\(592\) −9.32520 + 2.02857i −0.383263 + 0.0833739i
\(593\) −2.05329 1.53708i −0.0843187 0.0631202i 0.556287 0.830990i \(-0.312226\pi\)
−0.640605 + 0.767870i \(0.721317\pi\)
\(594\) −5.55694 + 3.57123i −0.228004 + 0.146529i
\(595\) 10.2756 + 58.9104i 0.421258 + 2.41509i
\(596\) −0.0152388 0.0518987i −0.000624207 0.00212585i
\(597\) −12.2399 + 12.2399i −0.500945 + 0.500945i
\(598\) −3.50746 12.1501i −0.143431 0.496854i
\(599\) 25.7133i 1.05062i 0.850912 + 0.525309i \(0.176050\pi\)
−0.850912 + 0.525309i \(0.823950\pi\)
\(600\) 3.57638 3.49422i 0.146005 0.142651i
\(601\) 17.7538 + 20.4890i 0.724193 + 0.835763i 0.991805 0.127764i \(-0.0407799\pi\)
−0.267612 + 0.963527i \(0.586234\pi\)
\(602\) −42.0517 9.14779i −1.71390 0.372836i
\(603\) 4.25744 5.68728i 0.173377 0.231604i
\(604\) −6.06400 + 9.43576i −0.246741 + 0.383936i
\(605\) −41.2676 60.1799i −1.67777 2.44666i
\(606\) −0.138138 + 0.159419i −0.00561146 + 0.00647597i
\(607\) −15.8184 + 11.8415i −0.642048 + 0.480631i −0.870007 0.493040i \(-0.835886\pi\)
0.227959 + 0.973671i \(0.426795\pi\)
\(608\) −0.922516 + 2.47336i −0.0374130 + 0.100308i
\(609\) −13.1737 3.86816i −0.533827 0.156746i
\(610\) 1.08016 26.0070i 0.0437345 1.05299i
\(611\) 0.668705 + 1.46426i 0.0270529 + 0.0592376i
\(612\) −3.48616 4.65697i −0.140920 0.188247i
\(613\) 30.5600 2.18570i 1.23431 0.0882794i 0.561109 0.827742i \(-0.310375\pi\)
0.673198 + 0.739462i \(0.264920\pi\)
\(614\) −6.47328 2.95625i −0.261240 0.119305i
\(615\) 2.69536 7.94393i 0.108687 0.320330i
\(616\) 4.32170 + 30.0581i 0.174126 + 1.21107i
\(617\) 7.21410 33.1627i 0.290429 1.33508i −0.568373 0.822771i \(-0.692427\pi\)
0.858802 0.512308i \(-0.171209\pi\)
\(618\) 0.536793 7.50534i 0.0215930 0.301909i
\(619\) −5.50073 + 1.61516i −0.221093 + 0.0649188i −0.390403 0.920644i \(-0.627664\pi\)
0.169310 + 0.985563i \(0.445846\pi\)
\(620\) 13.0632 + 7.85373i 0.524631 + 0.315413i
\(621\) −3.82611 2.89152i −0.153537 0.116033i
\(622\) −7.28382 7.28382i −0.292055 0.292055i
\(623\) 0.618938 1.13350i 0.0247972 0.0454127i
\(624\) 1.99285 1.72681i 0.0797778 0.0691279i
\(625\) −0.580918 + 24.9932i −0.0232367 + 0.999730i
\(626\) 7.95303 1.14347i 0.317867 0.0457024i
\(627\) 3.70657 + 17.0388i 0.148026 + 0.680465i
\(628\) 2.22511 0.829923i 0.0887916 0.0331176i
\(629\) −41.9562 36.3552i −1.67290 1.44958i
\(630\) −6.49659 + 7.96660i −0.258830 + 0.317397i
\(631\) 40.9219 18.6884i 1.62908 0.743974i 0.629618 0.776905i \(-0.283211\pi\)
0.999458 + 0.0329310i \(0.0104842\pi\)
\(632\) 0.126729 0.0691993i 0.00504101 0.00275260i
\(633\) 4.01007 2.18967i 0.159386 0.0870314i
\(634\) 27.4499 12.5360i 1.09018 0.497867i
\(635\) −0.318801 3.13663i −0.0126512 0.124473i
\(636\) 2.68517 + 2.32671i 0.106474 + 0.0922601i
\(637\) 34.9215 13.0250i 1.38364 0.516071i
\(638\) 4.19346 + 19.2770i 0.166021 + 0.763185i
\(639\) 5.90557 0.849092i 0.233621 0.0335896i
\(640\) 1.62769 + 1.53318i 0.0643399 + 0.0606042i
\(641\) 19.6128 16.9946i 0.774660 0.671247i −0.174986 0.984571i \(-0.555988\pi\)
0.949646 + 0.313324i \(0.101443\pi\)
\(642\) −1.29845 + 2.37794i −0.0512458 + 0.0938497i
\(643\) −14.8531 14.8531i −0.585749 0.585749i 0.350728 0.936477i \(-0.385934\pi\)
−0.936477 + 0.350728i \(0.885934\pi\)
\(644\) −19.3986 + 10.4779i −0.764413 + 0.412886i
\(645\) −10.7854 + 17.9396i −0.424676 + 0.706370i
\(646\) −14.7344 + 4.32641i −0.579717 + 0.170220i
\(647\) −2.22405 + 31.0963i −0.0874363 + 1.22252i 0.744490 + 0.667634i \(0.232693\pi\)
−0.831926 + 0.554886i \(0.812762\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −6.42586 44.6928i −0.252237 1.75435i
\(650\) −1.09332 + 13.1392i −0.0428835 + 0.515361i
\(651\) −28.5054 13.0180i −1.11722 0.510215i
\(652\) −10.5216 + 0.752522i −0.412059 + 0.0294711i
\(653\) 12.1487 + 16.2287i 0.475414 + 0.635079i 0.972578 0.232578i \(-0.0747160\pi\)
−0.497164 + 0.867657i \(0.665625\pi\)
\(654\) −6.35651 13.9188i −0.248559 0.544269i
\(655\) −8.55150 + 7.86948i −0.334135 + 0.307486i
\(656\) 3.59959 + 1.05694i 0.140540 + 0.0412664i
\(657\) 3.54914 9.51562i 0.138465 0.371240i
\(658\) 2.24665 1.68182i 0.0875834 0.0655641i
\(659\) 16.8572 19.4543i 0.656664 0.757831i −0.325564 0.945520i \(-0.605554\pi\)
0.982228 + 0.187689i \(0.0600997\pi\)
\(660\) 14.5203 + 2.70694i 0.565201 + 0.105368i
\(661\) 0.118718 0.184729i 0.00461760 0.00718512i −0.838937 0.544228i \(-0.816822\pi\)
0.843555 + 0.537043i \(0.180459\pi\)
\(662\) −5.94307 + 7.93902i −0.230984 + 0.308559i
\(663\) 14.9891 + 3.26068i 0.582129 + 0.126634i
\(664\) −0.754651 0.870914i −0.0292862 0.0337980i
\(665\) 13.7111 + 23.4177i 0.531692 + 0.908101i
\(666\) 9.54330i 0.369795i
\(667\) −12.0845 + 7.68858i −0.467914 + 0.297703i
\(668\) −1.93956 + 1.93956i −0.0750440 + 0.0750440i
\(669\) −2.23027 7.59560i −0.0862272 0.293663i
\(670\) −15.6494 + 2.72968i −0.604589 + 0.105457i
\(671\) 64.6867 41.5716i 2.49720 1.60486i
\(672\) −3.68027 2.75501i −0.141969 0.106277i
\(673\) 5.48956 1.19418i 0.211607 0.0460322i −0.105512 0.994418i \(-0.533648\pi\)
0.317119 + 0.948386i \(0.397285\pi\)
\(674\) 0.0809564 0.177270i 0.00311832 0.00682817i
\(675\) 2.65415 + 4.23739i 0.102158 + 0.163097i
\(676\) 0.860530 5.98511i 0.0330973 0.230197i
\(677\) 32.2533 + 12.0299i 1.23959 + 0.462345i 0.881875 0.471484i \(-0.156281\pi\)
0.357720 + 0.933829i \(0.383554\pi\)
\(678\) 0.785006 + 1.43763i 0.0301480 + 0.0552119i
\(679\) 11.2627 38.3572i 0.432223 1.47202i
\(680\) −1.46559 + 12.9250i −0.0562027 + 0.495651i
\(681\) −4.62310 0.664702i −0.177158 0.0254714i
\(682\) 3.21220 + 44.9125i 0.123002 + 1.71979i
\(683\) −1.39662 3.74449i −0.0534403 0.143279i 0.907487 0.420081i \(-0.137998\pi\)
−0.960927 + 0.276802i \(0.910725\pi\)
\(684\) −2.22074 1.42718i −0.0849122 0.0545698i
\(685\) 23.0373 9.38592i 0.880209 0.358618i
\(686\) −17.7323 27.5921i −0.677024 1.05347i
\(687\) 18.2102 + 1.30242i 0.694764 + 0.0496905i
\(688\) −8.21607 4.48631i −0.313235 0.171039i
\(689\) −9.36894 −0.356928
\(690\) 1.79449 + 10.5726i 0.0683151 + 0.402492i
\(691\) −24.5812 −0.935114 −0.467557 0.883963i \(-0.654866\pi\)
−0.467557 + 0.883963i \(0.654866\pi\)
\(692\) 14.7436 + 8.05064i 0.560469 + 0.306039i
\(693\) −30.2898 2.16637i −1.15061 0.0822936i
\(694\) 12.6028 + 19.6104i 0.478396 + 0.744399i
\(695\) −3.19513 + 7.58871i −0.121198 + 0.287856i
\(696\) −2.51246 1.61466i −0.0952344 0.0612034i
\(697\) 7.62665 + 20.4478i 0.288880 + 0.774517i
\(698\) 1.27735 + 17.8596i 0.0483483 + 0.675997i
\(699\) 11.2491 + 1.61737i 0.425479 + 0.0611746i
\(700\) 22.7886 3.00668i 0.861329 0.113642i
\(701\) −2.69099 + 9.16466i −0.101637 + 0.346145i −0.994573 0.104039i \(-0.966823\pi\)
0.892936 + 0.450184i \(0.148641\pi\)
\(702\) 1.26374 + 2.31437i 0.0476968 + 0.0873502i
\(703\) −23.6040 8.80385i −0.890243 0.332043i
\(704\) −0.940067 + 6.53831i −0.0354301 + 0.246422i
\(705\) −0.423543 1.29765i −0.0159515 0.0488725i
\(706\) −8.89129 + 19.4692i −0.334628 + 0.732733i
\(707\) −0.947586 + 0.206135i −0.0356376 + 0.00775249i
\(708\) 5.47213 + 4.09638i 0.205655 + 0.153952i
\(709\) 12.1850 7.83080i 0.457616 0.294092i −0.291451 0.956586i \(-0.594138\pi\)
0.749068 + 0.662494i \(0.230502\pi\)
\(710\) −10.9142 7.67224i −0.409603 0.287934i
\(711\) 0.0406797 + 0.138542i 0.00152561 + 0.00519574i
\(712\) 0.198644 0.198644i 0.00744449 0.00744449i
\(713\) −29.7986 + 13.4446i −1.11596 + 0.503504i
\(714\) 26.7433i 1.00084i
\(715\) −33.6111 + 19.6793i −1.25699 + 0.735964i
\(716\) 15.9520 + 18.4096i 0.596156 + 0.688000i
\(717\) −26.4826 5.76094i −0.989011 0.215146i
\(718\) −6.49203 + 8.67233i −0.242280 + 0.323649i
\(719\) 15.0784 23.4625i 0.562331 0.875004i −0.437374 0.899280i \(-0.644091\pi\)
0.999705 + 0.0242754i \(0.00772785\pi\)
\(720\) −1.84413 + 1.26459i −0.0687267 + 0.0471284i
\(721\) 22.6529 26.1428i 0.843637 0.973608i
\(722\) 9.63167 7.21018i 0.358454 0.268335i
\(723\) −3.57119 + 9.57472i −0.132814 + 0.356088i
\(724\) −7.25611 2.13059i −0.269671 0.0791826i
\(725\) 14.6274 3.00444i 0.543250 0.111582i
\(726\) 13.5563 + 29.6842i 0.503123 + 1.10169i
\(727\) 14.8360 + 19.8186i 0.550236 + 0.735030i 0.986314 0.164880i \(-0.0527236\pi\)
−0.436078 + 0.899909i \(0.643633\pi\)
\(728\) 12.0916 0.864810i 0.448145 0.0320520i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) −20.3660 + 10.0470i −0.753781 + 0.371855i
\(731\) −7.74993 53.9020i −0.286642 1.99364i
\(732\) −2.47441 + 11.3747i −0.0914569 + 0.420421i
\(733\) −3.15722 + 44.1436i −0.116614 + 1.63048i 0.516403 + 0.856346i \(0.327271\pi\)
−0.633018 + 0.774137i \(0.718184\pi\)
\(734\) 24.1042 7.07763i 0.889702 0.261240i
\(735\) −30.6688 + 7.63823i −1.13123 + 0.281740i
\(736\) −4.69083 + 0.998039i −0.172906 + 0.0367882i
\(737\) −33.1829 33.1829i −1.22231 1.22231i
\(738\) −1.79793 + 3.29266i −0.0661827 + 0.121205i
\(739\) −4.98217 + 4.31708i −0.183272 + 0.158806i −0.741665 0.670770i \(-0.765964\pi\)
0.558393 + 0.829577i \(0.311418\pi\)
\(740\) −14.6316 + 15.5335i −0.537868 + 0.571023i
\(741\) 6.89009 0.990645i 0.253114 0.0363923i
\(742\) 3.47202 + 15.9606i 0.127462 + 0.585932i
\(743\) 25.0534 9.34444i 0.919120 0.342814i 0.155020 0.987911i \(-0.450456\pi\)
0.764100 + 0.645097i \(0.223183\pi\)
\(744\) −5.15162 4.46391i −0.188868 0.163655i
\(745\) −0.0937329 0.0764372i −0.00343411 0.00280044i
\(746\) 4.19322 1.91498i 0.153525 0.0701123i
\(747\) 1.01142 0.552279i 0.0370061 0.0202068i
\(748\) −33.7259 + 18.4158i −1.23314 + 0.673347i
\(749\) −11.3299 + 5.17419i −0.413986 + 0.189061i
\(750\) 2.17656 10.9664i 0.0794768 0.400437i
\(751\) −28.4783 24.6766i −1.03919 0.900462i −0.0440579 0.999029i \(-0.514029\pi\)
−0.995130 + 0.0985672i \(0.968574\pi\)
\(752\) 0.571968 0.213333i 0.0208575 0.00777946i
\(753\) 4.71391 + 21.6695i 0.171785 + 0.789681i
\(754\) 7.79516 1.12078i 0.283883 0.0408162i
\(755\) 0.749548 + 25.0692i 0.0272788 + 0.912363i
\(756\) 3.47435 3.01054i 0.126361 0.109492i
\(757\) 7.82301 14.3268i 0.284332 0.520716i −0.696007 0.718035i \(-0.745042\pi\)
0.980339 + 0.197319i \(0.0632236\pi\)
\(758\) 22.8303 + 22.8303i 0.829234 + 0.829234i
\(759\) −22.5024 + 22.2981i −0.816787 + 0.809369i
\(760\) 1.42654 + 5.72780i 0.0517461 + 0.207769i
\(761\) 10.8518 3.18637i 0.393376 0.115506i −0.0790614 0.996870i \(-0.525192\pi\)
0.472438 + 0.881364i \(0.343374\pi\)
\(762\) −0.100586 + 1.40638i −0.00364385 + 0.0509477i
\(763\) 14.9529 68.7372i 0.541330 2.48846i
\(764\) 0.349303 + 2.42945i 0.0126373 + 0.0878945i
\(765\) −12.3181 4.17950i −0.445361 0.151110i
\(766\) 1.20530 + 0.550443i 0.0435493 + 0.0198883i
\(767\) −17.9788 + 1.28587i −0.649178 + 0.0464301i
\(768\) −0.599278 0.800541i −0.0216246 0.0288870i
\(769\) 20.1807 + 44.1895i 0.727733 + 1.59351i 0.802739 + 0.596331i \(0.203375\pi\)
−0.0750054 + 0.997183i \(0.523897\pi\)
\(770\) 45.9809 + 49.9659i 1.65704 + 1.80064i
\(771\) −16.0293 4.70661i −0.577279 0.169505i
\(772\) 7.47890 20.0517i 0.269171 0.721676i
\(773\) −18.0536 + 13.5147i −0.649343 + 0.486092i −0.872451