Properties

Label 690.2.w.b.373.5
Level $690$
Weight $2$
Character 690.373
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 373.5
Character \(\chi\) \(=\) 690.373
Dual form 690.2.w.b.37.5

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

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(1\) \(e\left(\frac{1}{22}\right)\)

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 0.160341 + 0.987062i \(0.448741\pi\)
−0.767566 + 0.640970i \(0.778532\pi\)
\(8\) −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 0.368157 + 0.929763i \(0.379989\pi\)
0.192954 + 0.981208i \(0.438193\pi\)
\(12\) 0.479249 0.877679i 0.138347 0.253364i
\(13\) −2.47066 + 0.921509i −0.685238 + 0.255580i −0.667880 0.744269i \(-0.732798\pi\)
−0.0173577 + 0.999849i \(0.505525\pi\)
\(14\) −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 −0.538668 0.842518i \(-0.681072\pi\)
−0.839985 + 0.542610i \(0.817436\pi\)
\(18\) −0.800541 + 0.599278i −0.188689 + 0.141251i
\(19\) −2.22074 1.42718i −0.509473 0.327419i 0.260522 0.965468i \(-0.416105\pi\)
−0.769996 + 0.638049i \(0.779742\pi\)
\(20\) 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 0.958181 0.286164i \(-0.0923801\pi\)
−0.658346 + 0.752715i \(0.728744\pi\)
\(30\) −1.26459 + 1.84413i −0.230881 + 0.336691i
\(31\) 4.46391 + 5.15162i 0.801741 + 0.925259i 0.998475 0.0551980i \(-0.0175790\pi\)
−0.196734 + 0.980457i \(0.563034\pi\)
\(32\) 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 −0.0263792 0.999652i \(-0.508398\pi\)
0.966591 0.256324i \(-0.0825114\pi\)
\(38\) 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 0.904706 + 0.426037i \(0.140091\pi\)
−0.988087 + 0.153894i \(0.950818\pi\)
\(42\) −0.977210 4.49216i −0.150787 0.693156i
\(43\) −0.667815 9.33728i −0.101841 1.42392i −0.749507 0.661997i \(-0.769709\pi\)
0.647666 0.761925i \(-0.275745\pi\)
\(44\) 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 −0.737888 0.674924i \(-0.764177\pi\)
0.674924 + 0.737888i \(0.264177\pi\)
\(48\) −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 0.567535 0.823350i \(-0.307897\pi\)
−0.110265 + 0.993902i \(0.535170\pi\)
\(54\) −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 0.776772 0.629782i \(-0.216856\pi\)
0.0327196 + 0.999465i \(0.489583\pi\)
\(60\) 0.226104 2.22461i 0.0291899 0.287196i
\(61\) 8.79747 7.62305i 1.12640 0.976031i 0.126527 0.991963i \(-0.459617\pi\)
0.999873 + 0.0159319i \(0.00507149\pi\)
\(62\) −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 0.998704 0.0508891i \(-0.0162055\pi\)
−0.582751 + 0.812651i \(0.698024\pi\)
\(68\) −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 0.603179 0.797606i \(-0.293900\pi\)
0.0762082 + 0.997092i \(0.475719\pi\)
\(72\) 0.0713392 + 0.997452i 0.00840740 + 0.117551i
\(73\) 2.15880 + 9.92386i 0.252669 + 1.16150i 0.912175 + 0.409801i \(0.134402\pi\)
−0.659506 + 0.751699i \(0.729234\pi\)
\(74\) −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 −0.906228 0.422790i \(-0.861051\pi\)
0.912976 + 0.408013i \(0.133778\pi\)
\(80\) −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 0.648708 0.761037i \(-0.275309\pi\)
−0.547447 + 0.836840i \(0.684400\pi\)
\(84\) 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 −0.745916 0.666040i \(-0.767988\pi\)
0.765416 + 0.643536i \(0.222533\pi\)
\(90\) −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 −0.184311 0.982868i \(-0.559005\pi\)
0.891129 + 0.453751i \(0.149914\pi\)
\(98\) 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 0.991260 0.131919i \(-0.0421139\pi\)
−0.988273 + 0.152695i \(0.951205\pi\)
\(102\) 5.45049 2.03293i 0.539679 0.201290i
\(103\) 3.60612 6.60411i 0.355321 0.650722i −0.637484 0.770464i \(-0.720025\pi\)
0.992805 + 0.119742i \(0.0382066\pi\)
\(104\) −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 0.979519 + 0.201352i \(0.0645336\pi\)
−0.998204 + 0.0599029i \(0.980921\pi\)
\(108\) 0.349464 0.936950i 0.0336272 0.0901580i
\(109\) 12.8725 8.27266i 1.23296 0.792378i 0.248614 0.968603i \(-0.420025\pi\)
0.984350 + 0.176225i \(0.0563887\pi\)
\(110\) −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 −0.545445 0.838147i \(-0.683639\pi\)
0.410204 + 0.911994i \(0.365458\pi\)
\(114\) 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 −0.905940 0.423405i \(-0.860835\pi\)
0.845979 + 0.533216i \(0.179017\pi\)
\(128\) 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 0.791560 0.611092i \(-0.209269\pi\)
−0.980194 + 0.198041i \(0.936542\pi\)
\(132\) 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 0.958194 0.286118i \(-0.0923649\pi\)
−0.286118 + 0.958194i \(0.592365\pi\)
\(138\) 2.57439 4.04630i 0.219147 0.344444i
\(139\) 3.68232i 0.312330i −0.987731 0.156165i \(-0.950087\pi\)
0.987731 0.156165i \(-0.0499132\pi\)
\(140\) 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 −0.283858 0.958866i \(-0.591614\pi\)
0.279606 + 0.960115i \(0.409796\pi\)
\(150\) −1.00599 + 4.89775i −0.0821385 + 0.399900i
\(151\) 4.65942 10.2027i 0.379179 0.830285i −0.619785 0.784772i \(-0.712780\pi\)
0.998964 0.0455138i \(-0.0144925\pi\)
\(152\) 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 0.992893 0.119008i \(-0.0379713\pi\)
−0.952605 + 0.304210i \(0.901608\pi\)
\(158\) 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 0.601302 0.799022i \(-0.294649\pi\)
−0.997268 + 0.0738631i \(0.976467\pi\)
\(164\) 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 −0.949069 0.315068i \(-0.897973\pi\)
0.994188 + 0.107662i \(0.0343364\pi\)
\(168\) −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 0.929277 0.369383i \(-0.120431\pi\)
0.191661 + 0.981461i \(0.438613\pi\)
\(174\) −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 0.959983 0.280059i \(-0.0903540\pi\)
0.842195 + 0.539173i \(0.181263\pi\)
\(180\) 0.0668266 2.23507i 0.00498096 0.166592i
\(181\) −5.71531 4.95235i −0.424816 0.368105i 0.416056 0.909339i \(-0.363412\pi\)
−0.840872 + 0.541234i \(0.817957\pi\)
\(182\) 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 −0.333000 0.942927i \(-0.608061\pi\)
0.494548 + 0.869150i \(0.335334\pi\)
\(192\) −0.997452 0.0713392i −0.0719849 0.00514846i
\(193\) −12.8252 + 17.1324i −0.923175 + 1.23322i 0.0489606 + 0.998801i \(0.484409\pi\)
−0.972136 + 0.234417i \(0.924682\pi\)
\(194\) −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 0.996577 0.0826734i \(-0.0263458\pi\)
−0.807302 + 0.590139i \(0.799073\pi\)
\(198\) −5.28801 3.95856i −0.375803 0.281322i
\(199\) −11.3355 13.0819i −0.803553 0.927350i 0.195017 0.980800i \(-0.437524\pi\)
−0.998571 + 0.0534501i \(0.982978\pi\)
\(200\) 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 0.666217 0.745758i \(-0.267913\pi\)
−0.401609 + 0.915811i \(0.631549\pi\)
\(212\) 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 −0.996065 0.0886206i \(-0.971754\pi\)
0.810810 + 0.585309i \(0.199027\pi\)
\(224\) −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 −0.225083 0.974340i \(-0.572265\pi\)
−0.0841288 + 0.996455i \(0.526811\pi\)
\(228\) −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 0.305104 0.952319i \(-0.401309\pi\)
0.437528 + 0.899205i \(0.355854\pi\)
\(234\) 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 −0.936118 0.351685i \(-0.885609\pi\)
−0.799118 + 0.601174i \(0.794700\pi\)
\(240\) −1.74922 1.39292i −0.112911 0.0899129i
\(241\) −2.87903 9.80509i −0.185455 0.631601i −0.998761 0.0497653i \(-0.984153\pi\)
0.813306 0.581836i \(-0.197666\pi\)
\(242\) 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 −0.488151 0.872759i \(-0.662329\pi\)
0.882508 0.470297i \(-0.155853\pi\)
\(252\) 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 −0.690568 0.723268i \(-0.742639\pi\)
−0.327706 + 0.944780i \(0.606276\pi\)
\(258\) 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 0.989660 + 0.143434i \(0.0458143\pi\)
−0.654006 + 0.756489i \(0.726913\pi\)
\(264\) −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 −0.955397 0.295325i \(-0.904572\pi\)
−0.402460 + 0.915437i \(0.631845\pi\)
\(270\) −0.989269 + 2.00533i −0.0602050 + 0.122040i
\(271\) −1.22298 + 8.50602i −0.0742908 + 0.516704i 0.918365 + 0.395734i \(0.129510\pi\)
−0.992656 + 0.120970i \(0.961399\pi\)
\(272\) 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 −0.438381 0.898789i \(-0.644448\pi\)
0.898789 + 0.438381i \(0.144448\pi\)
\(278\) 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 −0.686665 0.726974i \(-0.740926\pi\)
−0.863662 + 0.504071i \(0.831835\pi\)
\(282\) 0.129762 0.596507i 0.00772722 0.0355215i
\(283\) −4.54288 1.69441i −0.270046 0.100722i 0.210793 0.977531i \(-0.432395\pi\)
−0.480839 + 0.876809i \(0.659668\pi\)
\(284\) 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 −0.596523 0.802596i \(-0.703451\pi\)
0.876027 0.482263i \(-0.160185\pi\)
\(294\) 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 0.272412 0.962181i \(-0.412179\pi\)
0.132706 + 0.991155i \(0.457633\pi\)
\(308\) −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 0.0107750 0.999942i \(-0.496570\pi\)
0.549674 + 0.835379i \(0.314752\pi\)
\(312\) −0.921509 2.47066i −0.0521701 0.139874i
\(313\) −6.43220 4.81509i −0.363569 0.272165i 0.401838 0.915711i \(-0.368372\pi\)
−0.765407 + 0.643546i \(0.777462\pi\)
\(314\) −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 −0.932843 0.360283i \(-0.882680\pi\)
−0.0828766 0.996560i \(-0.526411\pi\)
\(318\) −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 0.991137 + 0.132844i \(0.0424110\pi\)
−0.913562 + 0.406699i \(0.866680\pi\)
\(332\) 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 −0.997059 0.0766326i \(-0.975583\pi\)
0.997817 + 0.0660438i \(0.0210377\pi\)
\(338\) 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 −0.923007 0.384783i \(-0.874276\pi\)
−0.175315 + 0.984512i \(0.556094\pi\)
\(348\) 2.97895 0.213059i 0.159689 0.0114212i
\(349\) −9.68031 + 15.0629i −0.518175 + 0.806297i −0.997450 0.0713684i \(-0.977263\pi\)
0.479275 + 0.877665i \(0.340900\pi\)
\(350\) −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 0.779198 + 0.626778i \(0.215627\pi\)
−0.860467 + 0.509507i \(0.829828\pi\)
\(354\) −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 0.989198 + 0.146589i \(0.0468294\pi\)
−0.907829 + 0.419340i \(0.862262\pi\)
\(360\) 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 0.0702658 0.997528i \(-0.477615\pi\)
−0.997528 + 0.0702658i \(0.977615\pi\)
\(368\) 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 0.723300 0.690534i \(-0.242624\pi\)
−0.866339 + 0.499456i \(0.833533\pi\)
\(374\) 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 −0.953105 0.302640i \(-0.902132\pi\)
−0.638183 + 0.769885i \(0.720314\pi\)
\(380\) −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 0.0375313 0.999295i \(-0.488051\pi\)
−0.105065 + 0.994465i \(0.533505\pi\)
\(384\) 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 −0.417181 0.908823i \(-0.636982\pi\)
−0.842302 + 0.539006i \(0.818800\pi\)
\(390\) 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 0.703386 + 0.710808i \(0.251671\pi\)
−0.935103 + 0.354377i \(0.884693\pi\)
\(398\) 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 −0.997310 0.0732959i \(-0.976648\pi\)
−0.708493 0.705718i \(-0.750624\pi\)
\(402\) −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 −0.382601 0.923914i \(-0.624972\pi\)
−0.627399 + 0.778698i \(0.715881\pi\)
\(410\) −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 −0.992919 0.118791i \(-0.962098\pi\)
0.986166 + 0.165758i \(0.0530071\pi\)
\(420\) 9.21895 + 4.54789i 0.449839 + 0.221914i
\(421\) 30.7197 14.0292i 1.49719 0.683743i 0.512599 0.858628i \(-0.328683\pi\)
0.984589 + 0.174885i \(0.0559554\pi\)
\(422\) −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 0.957163 0.289550i \(-0.0935055\pi\)
−0.661004 + 0.750383i \(0.729869\pi\)
\(432\) −0.599278 0.800541i −0.0288328 0.0385161i
\(433\) 10.0778 2.19230i 0.484310 0.105355i 0.0362203 0.999344i \(-0.488468\pi\)
0.448090 + 0.893989i \(0.352105\pi\)
\(434\) 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 −0.932361 0.361530i \(-0.882255\pi\)
0.979809 + 0.199934i \(0.0640728\pi\)
\(440\) −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 0.716457 0.697631i \(-0.245762\pi\)
0.361906 + 0.932215i \(0.382126\pi\)
\(444\) −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 0.907857 0.419279i \(-0.137717\pi\)
−0.990418 + 0.138104i \(0.955899\pi\)
\(450\) −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 0.614175 0.789170i \(-0.289489\pi\)
0.720234 + 0.693731i \(0.244034\pi\)
\(458\) −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 0.694261 0.719723i \(-0.255731\pi\)
0.789622 + 0.613594i \(0.210277\pi\)
\(464\) 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 0.504897 + 0.863180i \(0.331530\pi\)
−0.946838 + 0.321710i \(0.895742\pi\)
\(468\) −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 0.577344 0.816501i \(-0.304089\pi\)
−0.502878 + 0.864357i \(0.667726\pi\)
\(480\) 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 −0.170183 0.985412i \(-0.554436\pi\)
0.254551 + 0.967059i \(0.418072\pi\)
\(488\) 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 0.964893 0.262645i \(-0.0845948\pi\)
−0.397290 + 0.917693i \(0.630049\pi\)
\(492\) 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 −0.848460 0.529260i \(-0.822470\pi\)
−0.155635 + 0.987815i \(0.549742\pi\)
\(500\) −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 −0.931683 0.363272i \(-0.881660\pi\)
0.870501 0.492167i \(-0.163795\pi\)
\(504\) −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 0.509441 0.860505i \(-0.329852\pi\)
−0.779246 + 0.626719i \(0.784398\pi\)
\(510\) 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 −0.554958 0.831879i \(-0.687266\pi\)
0.744432 + 0.667698i \(0.232720\pi\)
\(522\) −2.79826 1.04370i −0.122476 0.0456814i
\(523\) 5.34614 24.5758i 0.233770 1.07462i −0.699272 0.714856i \(-0.746492\pi\)
0.933042 0.359768i \(-0.117144\pi\)
\(524\) −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 −0.351098 0.936339i \(-0.614191\pi\)
0.210861 + 0.977516i \(0.432373\pi\)
\(542\) −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 0.684223 0.729273i \(-0.260142\pi\)
−0.892500 + 0.451047i \(0.851051\pi\)
\(548\) 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 −0.284765 0.958597i \(-0.591915\pi\)
0.839540 + 0.543298i \(0.182825\pi\)
\(558\) −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 −0.619477 0.785015i \(-0.712655\pi\)
0.995311 + 0.0967258i \(0.0308370\pi\)
\(564\) 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 −0.959017 0.283349i \(-0.908555\pi\)
−0.140647 + 0.990060i \(0.544918\pi\)
\(570\) 5.44024 2.29054i 0.227867 0.0959401i
\(571\) −12.1631 + 18.9261i −0.509008 + 0.792032i −0.996716 0.0809750i \(-0.974197\pi\)
0.487708 + 0.873007i \(0.337833\pi\)
\(572\) −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 0.180074 0.983653i \(-0.442366\pi\)
0.924857 + 0.380315i \(0.124185\pi\)
\(578\) −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 −0.901379 0.433032i \(-0.857444\pi\)
0.851612 + 0.524173i \(0.175626\pi\)
\(588\) −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 −0.640605 0.767870i \(-0.721317\pi\)
0.556287 + 0.830990i \(0.312226\pi\)
\(594\) −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 \(-0.823950\pi\)
0.850912 0.525309i \(-0.176050\pi\)
\(600\) 3.57638 + 3.49422i 0.146005 + 0.142651i
\(601\) 17.7538 20.4890i 0.724193 0.835763i −0.267612 0.963527i \(-0.586234\pi\)
0.991805 + 0.127764i \(0.0407799\pi\)
\(602\) −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 0.227959 0.973671i \(-0.426795\pi\)
−0.870007 + 0.493040i \(0.835886\pi\)
\(608\) −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 0.673198 0.739462i \(-0.264920\pi\)
0.561109 + 0.827742i \(0.310375\pi\)
\(614\) −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 0.858802 + 0.512308i \(0.171209\pi\)
−0.568373 + 0.822771i \(0.692427\pi\)
\(618\) 0.536793 + 7.50534i 0.0215930 + 0.301909i
\(619\) −5.50073 1.61516i −0.221093 0.0649188i 0.169310 0.985563i \(-0.445846\pi\)
−0.390403 + 0.920644i \(0.627664\pi\)
\(620\) 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 0.999458 0.0329310i \(-0.0104842\pi\)
0.629618 + 0.776905i \(0.283211\pi\)
\(632\) 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 0.949646 0.313324i \(-0.101443\pi\)
−0.174986 + 0.984571i \(0.555988\pi\)
\(642\) −1.29845 2.37794i −0.0512458 0.0938497i
\(643\) −14.8531 + 14.8531i −0.585749 + 0.585749i −0.936477 0.350728i \(-0.885934\pi\)
0.350728 + 0.936477i \(0.385934\pi\)
\(644\) −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 −0.831926 0.554886i \(-0.812762\pi\)
0.744490 0.667634i \(-0.232693\pi\)
\(648\) 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 −0.497164 0.867657i \(-0.665625\pi\)
0.972578 + 0.232578i \(0.0747160\pi\)
\(654\) −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 0.982228 0.187689i \(-0.0600997\pi\)
−0.325564 + 0.945520i \(0.605554\pi\)
\(660\) 14.5203 2.70694i 0.565201 0.105368i
\(661\) 0.118718 + 0.184729i 0.00461760 + 0.00718512i 0.843555 0.537043i \(-0.180459\pi\)
−0.838937 + 0.544228i \(0.816822\pi\)
\(662\) −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 0.317119 0.948386i \(-0.397285\pi\)
−0.105512 + 0.994418i \(0.533648\pi\)
\(674\) 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 0.357720 0.933829i \(-0.383554\pi\)
0.881875 + 0.471484i \(0.156281\pi\)
\(678\) 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 −0.960927 0.276802i \(-0.910725\pi\)
0.907487 + 0.420081i \(0.137998\pi\)
\(684\) −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 0.892936 0.450184i \(-0.148641\pi\)
−0.994573 + 0.104039i \(0.966823\pi\)
\(702\) 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 0.749068 0.662494i \(-0.230502\pi\)
−0.291451 + 0.956586i \(0.594138\pi\)
\(710\) −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 0.999705 0.0242754i \(-0.00772785\pi\)
−0.437374 + 0.899280i \(0.644091\pi\)
\(720\) −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 −0.436078 0.899909i \(-0.643633\pi\)
0.986314 + 0.164880i \(0.0527236\pi\)
\(728\) 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 −0.633018 0.774137i \(-0.718184\pi\)
0.516403 0.856346i \(-0.327271\pi\)
\(734\) 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 0.558393 0.829577i \(-0.311418\pi\)
−0.741665 + 0.670770i \(0.765964\pi\)
\(740\) −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 0.764100 0.645097i \(-0.223183\pi\)
0.155020 + 0.987911i \(0.450456\pi\)
\(744\) −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 −0.995130 0.0985672i \(-0.968574\pi\)
−0.0440579 + 0.999029i \(0.514029\pi\)
\(752\) 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 0.980339 0.197319i \(-0.0632236\pi\)
−0.696007 + 0.718035i \(0.745042\pi\)
\(758\) 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 0.472438 0.881364i \(-0.343374\pi\)
−0.0790614 + 0.996870i \(0.525192\pi\)
\(762\) −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 −0.0750054 0.997183i \(-0.523897\pi\)
0.802739 0.596331i \(-0.203375\pi\)
\(770\) 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