Properties

Label 176.2.w.a.5.2
Level $176$
Weight $2$
Character 176.5
Analytic conductor $1.405$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [176,2,Mod(5,176)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(176, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("176.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 176 = 2^{4} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 176.w (of order \(20\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.40536707557\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.2
Character \(\chi\) \(=\) 176.5
Dual form 176.2.w.a.141.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.37854 + 0.315659i) q^{2} +(0.901291 - 0.142750i) q^{3} +(1.80072 - 0.870295i) q^{4} +(3.45027 - 1.75800i) q^{5} +(-1.19740 + 0.481287i) q^{6} +(-1.81367 - 2.49631i) q^{7} +(-2.20764 + 1.76815i) q^{8} +(-2.06122 + 0.669732i) q^{9} +O(q^{10})\) \(q+(-1.37854 + 0.315659i) q^{2} +(0.901291 - 0.142750i) q^{3} +(1.80072 - 0.870295i) q^{4} +(3.45027 - 1.75800i) q^{5} +(-1.19740 + 0.481287i) q^{6} +(-1.81367 - 2.49631i) q^{7} +(-2.20764 + 1.76815i) q^{8} +(-2.06122 + 0.669732i) q^{9} +(-4.20139 + 3.51258i) q^{10} +(-1.60034 - 2.90498i) q^{11} +(1.49874 - 1.04144i) q^{12} +(2.72194 + 1.38690i) q^{13} +(3.28819 + 2.86874i) q^{14} +(2.85874 - 2.07700i) q^{15} +(2.48517 - 3.13431i) q^{16} +(-0.866206 + 2.66591i) q^{17} +(2.63006 - 1.57389i) q^{18} +(4.09687 - 0.648881i) q^{19} +(4.68299 - 6.16842i) q^{20} +(-1.99100 - 1.99100i) q^{21} +(3.12310 + 3.49946i) q^{22} +5.41433i q^{23} +(-1.73732 + 1.90875i) q^{24} +(5.87489 - 8.08609i) q^{25} +(-4.19008 - 1.05268i) q^{26} +(-4.20135 + 2.14070i) q^{27} +(-5.43844 - 2.91671i) q^{28} +(-1.15045 + 7.26365i) q^{29} +(-3.28525 + 3.76560i) q^{30} +(0.303861 + 0.935187i) q^{31} +(-2.43652 + 5.10523i) q^{32} +(-1.85706 - 2.38979i) q^{33} +(0.352577 - 3.94847i) q^{34} +(-10.6462 - 5.42450i) q^{35} +(-3.12882 + 2.99987i) q^{36} +(6.59057 + 1.04384i) q^{37} +(-5.44286 + 2.18772i) q^{38} +(2.65124 + 0.861441i) q^{39} +(-4.50855 + 9.98161i) q^{40} +(1.96941 - 2.71066i) q^{41} +(3.37313 + 2.11618i) q^{42} +(0.309517 + 0.309517i) q^{43} +(-5.40995 - 3.83829i) q^{44} +(-5.93439 + 5.93439i) q^{45} +(-1.70908 - 7.46384i) q^{46} +(1.28435 + 0.933138i) q^{47} +(1.79244 - 3.17969i) q^{48} +(-0.779018 + 2.39757i) q^{49} +(-5.54629 + 13.0014i) q^{50} +(-0.400144 + 2.52641i) q^{51} +(6.10846 + 0.128522i) q^{52} +(-4.77450 + 9.37047i) q^{53} +(5.11598 - 4.27722i) q^{54} +(-10.6286 - 7.20959i) q^{55} +(8.41776 + 2.30410i) q^{56} +(3.59984 - 1.16966i) q^{57} +(-0.706904 - 10.3763i) q^{58} +(-7.73298 - 1.22478i) q^{59} +(3.34019 - 6.22804i) q^{60} +(-4.52311 - 8.87711i) q^{61} +(-0.714083 - 1.19327i) q^{62} +(5.41024 + 3.93077i) q^{63} +(1.74732 - 7.80685i) q^{64} +11.8296 q^{65} +(3.31438 + 2.70821i) q^{66} +(-7.86815 + 7.86815i) q^{67} +(0.760333 + 5.55440i) q^{68} +(0.772897 + 4.87988i) q^{69} +(16.3884 + 4.11730i) q^{70} +(3.17399 + 1.03129i) q^{71} +(3.36625 - 5.12307i) q^{72} +(1.39961 + 1.92640i) q^{73} +(-9.41484 + 0.641400i) q^{74} +(4.14069 - 8.12656i) q^{75} +(6.81259 - 4.73394i) q^{76} +(-4.34924 + 9.26362i) q^{77} +(-3.92675 - 0.350637i) q^{78} +(0.546053 + 1.68058i) q^{79} +(3.06440 - 15.1832i) q^{80} +(1.77908 - 1.29258i) q^{81} +(-1.85926 + 4.35840i) q^{82} +(-5.54619 - 10.8850i) q^{83} +(-5.31798 - 1.85247i) q^{84} +(1.69802 + 10.7209i) q^{85} +(-0.524382 - 0.328978i) q^{86} +6.71088i q^{87} +(8.66939 + 3.58352i) q^{88} +0.623306i q^{89} +(6.30752 - 10.0540i) q^{90} +(-1.47459 - 9.31018i) q^{91} +(4.71206 + 9.74968i) q^{92} +(0.407365 + 0.799499i) q^{93} +(-2.06508 - 0.880945i) q^{94} +(12.9946 - 9.44112i) q^{95} +(-1.46724 + 4.94911i) q^{96} +(-1.55408 - 4.78298i) q^{97} +(0.317088 - 3.55104i) q^{98} +(5.24421 + 4.91602i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24} - 68 q^{26} - 18 q^{27} - 46 q^{28} - 22 q^{29} + 26 q^{30} - 12 q^{31} - 16 q^{32} - 16 q^{33} + 12 q^{34} - 26 q^{35} - 22 q^{36} + 18 q^{37} - 34 q^{38} + 14 q^{40} - 10 q^{42} - 40 q^{43} + 2 q^{44} - 24 q^{45} + 38 q^{46} - 12 q^{47} - 26 q^{48} + 8 q^{49} - 62 q^{50} + 6 q^{51} + 74 q^{52} - 30 q^{53} - 52 q^{54} - 96 q^{56} - 26 q^{58} + 10 q^{59} + 118 q^{60} - 6 q^{61} - 42 q^{62} - 28 q^{63} - 106 q^{64} - 32 q^{65} + 6 q^{66} + 24 q^{67} + 116 q^{68} + 12 q^{69} + 52 q^{70} - 98 q^{72} + 96 q^{74} - 46 q^{75} + 112 q^{76} - 14 q^{77} + 44 q^{78} - 52 q^{79} - 28 q^{80} + 66 q^{82} + 54 q^{83} + 120 q^{84} + 14 q^{85} + 86 q^{86} + 142 q^{88} + 228 q^{90} - 122 q^{91} + 146 q^{92} + 6 q^{93} + 56 q^{94} + 52 q^{95} + 86 q^{96} - 12 q^{97} + 140 q^{98} + 92 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/176\mathbb{Z}\right)^\times\).

\(n\) \(111\) \(133\) \(145\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.37854 + 0.315659i −0.974772 + 0.223205i
\(3\) 0.901291 0.142750i 0.520361 0.0824170i 0.109271 0.994012i \(-0.465148\pi\)
0.411090 + 0.911595i \(0.365148\pi\)
\(4\) 1.80072 0.870295i 0.900359 0.435147i
\(5\) 3.45027 1.75800i 1.54301 0.786202i 0.544395 0.838829i \(-0.316759\pi\)
0.998614 + 0.0526269i \(0.0167594\pi\)
\(6\) −1.19740 + 0.481287i −0.488837 + 0.196485i
\(7\) −1.81367 2.49631i −0.685504 0.943515i 0.314480 0.949264i \(-0.398170\pi\)
−0.999983 + 0.00574910i \(0.998170\pi\)
\(8\) −2.20764 + 1.76815i −0.780518 + 0.625134i
\(9\) −2.06122 + 0.669732i −0.687074 + 0.223244i
\(10\) −4.20139 + 3.51258i −1.32860 + 1.11077i
\(11\) −1.60034 2.90498i −0.482520 0.875885i
\(12\) 1.49874 1.04144i 0.432648 0.300638i
\(13\) 2.72194 + 1.38690i 0.754931 + 0.384657i 0.788704 0.614773i \(-0.210752\pi\)
−0.0337732 + 0.999430i \(0.510752\pi\)
\(14\) 3.28819 + 2.86874i 0.878807 + 0.766704i
\(15\) 2.85874 2.07700i 0.738124 0.536279i
\(16\) 2.48517 3.13431i 0.621293 0.783578i
\(17\) −0.866206 + 2.66591i −0.210086 + 0.646578i 0.789380 + 0.613905i \(0.210402\pi\)
−0.999466 + 0.0326731i \(0.989598\pi\)
\(18\) 2.63006 1.57389i 0.619911 0.370970i
\(19\) 4.09687 0.648881i 0.939887 0.148863i 0.332351 0.943156i \(-0.392158\pi\)
0.607536 + 0.794292i \(0.292158\pi\)
\(20\) 4.68299 6.16842i 1.04715 1.37930i
\(21\) −1.99100 1.99100i −0.434471 0.434471i
\(22\) 3.12310 + 3.49946i 0.665848 + 0.746087i
\(23\) 5.41433i 1.12896i 0.825445 + 0.564482i \(0.190924\pi\)
−0.825445 + 0.564482i \(0.809076\pi\)
\(24\) −1.73732 + 1.90875i −0.354629 + 0.389623i
\(25\) 5.87489 8.08609i 1.17498 1.61722i
\(26\) −4.19008 1.05268i −0.821742 0.206448i
\(27\) −4.20135 + 2.14070i −0.808551 + 0.411977i
\(28\) −5.43844 2.91671i −1.02777 0.551207i
\(29\) −1.15045 + 7.26365i −0.213633 + 1.34883i 0.614776 + 0.788702i \(0.289246\pi\)
−0.828409 + 0.560124i \(0.810754\pi\)
\(30\) −3.28525 + 3.76560i −0.599803 + 0.687502i
\(31\) 0.303861 + 0.935187i 0.0545750 + 0.167965i 0.974629 0.223828i \(-0.0718552\pi\)
−0.920054 + 0.391792i \(0.871855\pi\)
\(32\) −2.43652 + 5.10523i −0.430721 + 0.902485i
\(33\) −1.85706 2.38979i −0.323272 0.416008i
\(34\) 0.352577 3.94847i 0.0604664 0.677158i
\(35\) −10.6462 5.42450i −1.79953 0.916908i
\(36\) −3.12882 + 2.99987i −0.521469 + 0.499978i
\(37\) 6.59057 + 1.04384i 1.08348 + 0.171607i 0.672545 0.740056i \(-0.265201\pi\)
0.410939 + 0.911663i \(0.365201\pi\)
\(38\) −5.44286 + 2.18772i −0.882948 + 0.354895i
\(39\) 2.65124 + 0.861441i 0.424538 + 0.137941i
\(40\) −4.50855 + 9.98161i −0.712864 + 1.57823i
\(41\) 1.96941 2.71066i 0.307570 0.423334i −0.627051 0.778978i \(-0.715738\pi\)
0.934622 + 0.355644i \(0.115738\pi\)
\(42\) 3.37313 + 2.11618i 0.520486 + 0.326534i
\(43\) 0.309517 + 0.309517i 0.0472009 + 0.0472009i 0.730313 0.683112i \(-0.239374\pi\)
−0.683112 + 0.730313i \(0.739374\pi\)
\(44\) −5.40995 3.83829i −0.815580 0.578644i
\(45\) −5.93439 + 5.93439i −0.884646 + 0.884646i
\(46\) −1.70908 7.46384i −0.251990 1.10048i
\(47\) 1.28435 + 0.933138i 0.187342 + 0.136112i 0.677503 0.735520i \(-0.263062\pi\)
−0.490161 + 0.871632i \(0.663062\pi\)
\(48\) 1.79244 3.17969i 0.258716 0.458948i
\(49\) −0.779018 + 2.39757i −0.111288 + 0.342510i
\(50\) −5.54629 + 13.0014i −0.784364 + 1.83868i
\(51\) −0.400144 + 2.52641i −0.0560314 + 0.353768i
\(52\) 6.10846 + 0.128522i 0.847091 + 0.0178228i
\(53\) −4.77450 + 9.37047i −0.655827 + 1.28713i 0.288296 + 0.957541i \(0.406911\pi\)
−0.944123 + 0.329592i \(0.893089\pi\)
\(54\) 5.11598 4.27722i 0.696197 0.582056i
\(55\) −10.6286 7.20959i −1.43316 0.972141i
\(56\) 8.41776 + 2.30410i 1.12487 + 0.307898i
\(57\) 3.59984 1.16966i 0.476811 0.154925i
\(58\) −0.706904 10.3763i −0.0928210 1.36248i
\(59\) −7.73298 1.22478i −1.00675 0.159453i −0.368780 0.929517i \(-0.620225\pi\)
−0.637967 + 0.770063i \(0.720225\pi\)
\(60\) 3.34019 6.22804i 0.431217 0.804037i
\(61\) −4.52311 8.87711i −0.579125 1.13660i −0.975806 0.218640i \(-0.929838\pi\)
0.396680 0.917957i \(-0.370162\pi\)
\(62\) −0.714083 1.19327i −0.0906886 0.151546i
\(63\) 5.41024 + 3.93077i 0.681626 + 0.495230i
\(64\) 1.74732 7.80685i 0.218415 0.975856i
\(65\) 11.8296 1.46728
\(66\) 3.31438 + 2.70821i 0.407971 + 0.333357i
\(67\) −7.86815 + 7.86815i −0.961248 + 0.961248i −0.999277 0.0380288i \(-0.987892\pi\)
0.0380288 + 0.999277i \(0.487892\pi\)
\(68\) 0.760333 + 5.55440i 0.0922039 + 0.673570i
\(69\) 0.772897 + 4.87988i 0.0930459 + 0.587469i
\(70\) 16.3884 + 4.11730i 1.95879 + 0.492111i
\(71\) 3.17399 + 1.03129i 0.376683 + 0.122392i 0.491238 0.871025i \(-0.336544\pi\)
−0.114555 + 0.993417i \(0.536544\pi\)
\(72\) 3.36625 5.12307i 0.396716 0.603759i
\(73\) 1.39961 + 1.92640i 0.163812 + 0.225468i 0.883030 0.469316i \(-0.155500\pi\)
−0.719218 + 0.694785i \(0.755500\pi\)
\(74\) −9.41484 + 0.641400i −1.09445 + 0.0745612i
\(75\) 4.14069 8.12656i 0.478125 0.938374i
\(76\) 6.81259 4.73394i 0.781458 0.543020i
\(77\) −4.34924 + 9.26362i −0.495642 + 1.05569i
\(78\) −3.92675 0.350637i −0.444617 0.0397018i
\(79\) 0.546053 + 1.68058i 0.0614357 + 0.189080i 0.977064 0.212947i \(-0.0683060\pi\)
−0.915628 + 0.402026i \(0.868306\pi\)
\(80\) 3.06440 15.1832i 0.342610 1.69753i
\(81\) 1.77908 1.29258i 0.197676 0.143620i
\(82\) −1.85926 + 4.35840i −0.205321 + 0.481305i
\(83\) −5.54619 10.8850i −0.608773 1.19478i −0.965458 0.260560i \(-0.916093\pi\)
0.356684 0.934225i \(-0.383907\pi\)
\(84\) −5.31798 1.85247i −0.580239 0.202121i
\(85\) 1.69802 + 10.7209i 0.184177 + 1.16284i
\(86\) −0.524382 0.328978i −0.0565456 0.0354746i
\(87\) 6.71088i 0.719482i
\(88\) 8.66939 + 3.58352i 0.924161 + 0.382004i
\(89\) 0.623306i 0.0660703i 0.999454 + 0.0330351i \(0.0105173\pi\)
−0.999454 + 0.0330351i \(0.989483\pi\)
\(90\) 6.30752 10.0540i 0.664871 1.05979i
\(91\) −1.47459 9.31018i −0.154579 0.975972i
\(92\) 4.71206 + 9.74968i 0.491266 + 1.01647i
\(93\) 0.407365 + 0.799499i 0.0422418 + 0.0829042i
\(94\) −2.06508 0.880945i −0.212997 0.0908626i
\(95\) 12.9946 9.44112i 1.33322 0.968639i
\(96\) −1.46724 + 4.94911i −0.149750 + 0.505116i
\(97\) −1.55408 4.78298i −0.157793 0.485638i 0.840640 0.541595i \(-0.182179\pi\)
−0.998433 + 0.0559564i \(0.982179\pi\)
\(98\) 0.317088 3.55104i 0.0320307 0.358709i
\(99\) 5.24421 + 4.91602i 0.527063 + 0.494078i
\(100\) 3.54174 19.6736i 0.354174 1.96736i
\(101\) 7.95055 15.6038i 0.791109 1.55264i −0.0417338 0.999129i \(-0.513288\pi\)
0.832843 0.553510i \(-0.186712\pi\)
\(102\) −0.245872 3.60905i −0.0243450 0.357350i
\(103\) 4.12377 + 5.67588i 0.406327 + 0.559261i 0.962318 0.271927i \(-0.0876610\pi\)
−0.555991 + 0.831189i \(0.687661\pi\)
\(104\) −8.46130 + 1.75102i −0.829699 + 0.171702i
\(105\) −10.3697 3.36930i −1.01197 0.328810i
\(106\) 3.62393 14.4246i 0.351987 1.40105i
\(107\) 1.89505 + 11.9649i 0.183201 + 1.15669i 0.892255 + 0.451533i \(0.149123\pi\)
−0.709053 + 0.705155i \(0.750877\pi\)
\(108\) −5.70242 + 7.51121i −0.548716 + 0.722767i
\(109\) −0.707434 + 0.707434i −0.0677599 + 0.0677599i −0.740175 0.672415i \(-0.765257\pi\)
0.672415 + 0.740175i \(0.265257\pi\)
\(110\) 16.9276 + 6.58366i 1.61399 + 0.627728i
\(111\) 6.08903 0.577946
\(112\) −12.3315 0.519139i −1.16522 0.0490540i
\(113\) −14.5228 10.5514i −1.36619 0.992597i −0.998024 0.0628379i \(-0.979985\pi\)
−0.368169 0.929759i \(-0.620015\pi\)
\(114\) −4.59330 + 2.74874i −0.430202 + 0.257443i
\(115\) 9.51839 + 18.6809i 0.887595 + 1.74200i
\(116\) 4.24988 + 14.0810i 0.394591 + 1.30739i
\(117\) −6.53938 1.03574i −0.604566 0.0957538i
\(118\) 11.0468 0.752579i 1.01694 0.0692805i
\(119\) 8.22594 2.67277i 0.754070 0.245012i
\(120\) −2.63863 + 9.63993i −0.240873 + 0.880002i
\(121\) −5.87785 + 9.29790i −0.534350 + 0.845264i
\(122\) 9.03741 + 10.8096i 0.818209 + 0.978659i
\(123\) 1.38806 2.72423i 0.125157 0.245635i
\(124\) 1.36106 + 1.41956i 0.122226 + 0.127480i
\(125\) 3.02577 19.1040i 0.270633 1.70871i
\(126\) −8.69899 3.71091i −0.774967 0.330594i
\(127\) −1.99227 + 6.13158i −0.176785 + 0.544090i −0.999711 0.0240603i \(-0.992341\pi\)
0.822925 + 0.568150i \(0.192341\pi\)
\(128\) 0.0555584 + 11.3136i 0.00491071 + 0.999988i
\(129\) 0.323149 + 0.234781i 0.0284516 + 0.0206713i
\(130\) −16.3075 + 3.73413i −1.43027 + 0.327505i
\(131\) −0.951683 + 0.951683i −0.0831489 + 0.0831489i −0.747458 0.664309i \(-0.768726\pi\)
0.664309 + 0.747458i \(0.268726\pi\)
\(132\) −5.42385 2.68714i −0.472086 0.233886i
\(133\) −9.05019 9.05019i −0.784751 0.784751i
\(134\) 8.36287 13.3302i 0.722442 1.15155i
\(135\) −10.7325 + 14.7720i −0.923704 + 1.27137i
\(136\) −2.80144 7.41694i −0.240222 0.635997i
\(137\) −16.9721 5.51458i −1.45003 0.471142i −0.525019 0.851091i \(-0.675942\pi\)
−0.925008 + 0.379949i \(0.875942\pi\)
\(138\) −2.60585 6.48312i −0.221824 0.551880i
\(139\) −5.43123 0.860222i −0.460671 0.0729631i −0.0782144 0.996937i \(-0.524922\pi\)
−0.382457 + 0.923973i \(0.624922\pi\)
\(140\) −23.8917 0.502681i −2.01922 0.0424843i
\(141\) 1.29078 + 0.657687i 0.108704 + 0.0553872i
\(142\) −4.70099 0.419772i −0.394498 0.0352265i
\(143\) −0.327107 10.1267i −0.0273541 0.846837i
\(144\) −3.02335 + 8.12491i −0.251946 + 0.677076i
\(145\) 8.80014 + 27.0841i 0.730812 + 2.24921i
\(146\) −2.53750 2.21381i −0.210005 0.183217i
\(147\) −0.359867 + 2.27211i −0.0296814 + 0.187401i
\(148\) 12.7762 3.85607i 1.05020 0.316967i
\(149\) −5.46830 + 2.78624i −0.447980 + 0.228257i −0.663401 0.748264i \(-0.730888\pi\)
0.215421 + 0.976521i \(0.430888\pi\)
\(150\) −3.14286 + 12.5098i −0.256613 + 1.02142i
\(151\) 4.69843 6.46684i 0.382353 0.526264i −0.573853 0.818958i \(-0.694552\pi\)
0.956206 + 0.292694i \(0.0945519\pi\)
\(152\) −7.89709 + 8.67636i −0.640539 + 0.703746i
\(153\) 6.07515i 0.491147i
\(154\) 3.07143 14.1431i 0.247503 1.13968i
\(155\) 2.69246 + 2.69246i 0.216264 + 0.216264i
\(156\) 5.52385 0.756150i 0.442262 0.0605405i
\(157\) −3.17143 + 0.502305i −0.253108 + 0.0400883i −0.281699 0.959503i \(-0.590898\pi\)
0.0285912 + 0.999591i \(0.490898\pi\)
\(158\) −1.28324 2.14437i −0.102089 0.170597i
\(159\) −2.96557 + 9.12708i −0.235185 + 0.723825i
\(160\) 0.568324 + 21.8978i 0.0449300 + 1.73118i
\(161\) 13.5158 9.81982i 1.06520 0.773910i
\(162\) −2.04451 + 2.34345i −0.160632 + 0.184119i
\(163\) 11.3019 + 5.75860i 0.885232 + 0.451048i 0.836629 0.547770i \(-0.184523\pi\)
0.0486029 + 0.998818i \(0.484523\pi\)
\(164\) 1.18728 6.59511i 0.0927110 0.514991i
\(165\) −10.6086 4.98070i −0.825878 0.387747i
\(166\) 11.0816 + 13.2547i 0.860097 + 1.02876i
\(167\) 19.5101 6.33923i 1.50974 0.490544i 0.566899 0.823787i \(-0.308143\pi\)
0.942841 + 0.333243i \(0.108143\pi\)
\(168\) 7.91577 + 0.875026i 0.610715 + 0.0675097i
\(169\) −2.15573 2.96710i −0.165825 0.228239i
\(170\) −5.72494 14.2431i −0.439083 1.09240i
\(171\) −8.00999 + 4.08129i −0.612539 + 0.312104i
\(172\) 0.826724 + 0.287982i 0.0630371 + 0.0219584i
\(173\) −3.92029 + 0.620913i −0.298054 + 0.0472071i −0.303671 0.952777i \(-0.598212\pi\)
0.00561641 + 0.999984i \(0.498212\pi\)
\(174\) −2.11835 9.25119i −0.160592 0.701331i
\(175\) −30.8405 −2.33132
\(176\) −13.0822 2.20343i −0.986111 0.166090i
\(177\) −7.14450 −0.537014
\(178\) −0.196752 0.859249i −0.0147472 0.0644034i
\(179\) 17.1021 2.70870i 1.27827 0.202458i 0.519868 0.854247i \(-0.325981\pi\)
0.758400 + 0.651789i \(0.225981\pi\)
\(180\) −5.52150 + 15.8508i −0.411548 + 1.18145i
\(181\) 11.3382 5.77710i 0.842761 0.429408i 0.0213688 0.999772i \(-0.493198\pi\)
0.821393 + 0.570363i \(0.193198\pi\)
\(182\) 4.97162 + 12.3689i 0.368521 + 0.916847i
\(183\) −5.34385 7.35518i −0.395029 0.543711i
\(184\) −9.57332 11.9529i −0.705754 0.881177i
\(185\) 24.5744 7.98469i 1.80674 0.587046i
\(186\) −0.813937 0.973549i −0.0596807 0.0713841i
\(187\) 9.13064 1.75004i 0.667698 0.127975i
\(188\) 3.12487 + 0.562552i 0.227904 + 0.0410283i
\(189\) 12.9637 + 6.60534i 0.942972 + 0.480468i
\(190\) −14.9333 + 17.1168i −1.08338 + 1.24178i
\(191\) 0.299047 0.217270i 0.0216383 0.0157211i −0.576914 0.816805i \(-0.695743\pi\)
0.598552 + 0.801084i \(0.295743\pi\)
\(192\) 0.460415 7.28567i 0.0332276 0.525798i
\(193\) 1.31945 4.06086i 0.0949764 0.292307i −0.892271 0.451500i \(-0.850889\pi\)
0.987248 + 0.159193i \(0.0508891\pi\)
\(194\) 3.65215 + 6.10295i 0.262209 + 0.438166i
\(195\) 10.6619 1.68868i 0.763516 0.120929i
\(196\) 0.683801 + 4.99532i 0.0488430 + 0.356809i
\(197\) 9.68711 + 9.68711i 0.690178 + 0.690178i 0.962271 0.272093i \(-0.0877158\pi\)
−0.272093 + 0.962271i \(0.587716\pi\)
\(198\) −8.78111 5.12152i −0.624046 0.363971i
\(199\) 18.5382i 1.31414i −0.753829 0.657070i \(-0.771795\pi\)
0.753829 0.657070i \(-0.228205\pi\)
\(200\) 1.32776 + 28.2388i 0.0938870 + 1.99678i
\(201\) −5.96831 + 8.21468i −0.420972 + 0.579419i
\(202\) −6.03461 + 24.0201i −0.424594 + 1.69005i
\(203\) 20.2188 10.3020i 1.41908 0.723059i
\(204\) 1.47817 + 4.89760i 0.103493 + 0.342900i
\(205\) 2.02966 12.8147i 0.141757 0.895021i
\(206\) −7.47641 6.52270i −0.520906 0.454458i
\(207\) −3.62615 11.1601i −0.252035 0.775683i
\(208\) 11.1115 5.08473i 0.770442 0.352563i
\(209\) −8.44136 10.8629i −0.583901 0.751403i
\(210\) 15.3585 + 1.37143i 1.05984 + 0.0946375i
\(211\) −18.2958 9.32215i −1.25953 0.641764i −0.308608 0.951189i \(-0.599863\pi\)
−0.950924 + 0.309426i \(0.899863\pi\)
\(212\) −0.442446 + 21.0288i −0.0303873 + 1.44426i
\(213\) 3.00790 + 0.476405i 0.206098 + 0.0326427i
\(214\) −6.38921 15.8958i −0.436758 1.08661i
\(215\) 1.61205 + 0.523787i 0.109941 + 0.0357220i
\(216\) 5.49000 12.1545i 0.373547 0.827008i
\(217\) 1.78341 2.45465i 0.121066 0.166633i
\(218\) 0.751914 1.19853i 0.0509261 0.0811747i
\(219\) 1.53645 + 1.53645i 0.103824 + 0.103824i
\(220\) −25.4135 3.73245i −1.71338 0.251642i
\(221\) −6.05511 + 6.05511i −0.407311 + 0.407311i
\(222\) −8.39395 + 1.92206i −0.563365 + 0.129000i
\(223\) −7.29514 5.30023i −0.488519 0.354930i 0.316096 0.948727i \(-0.397628\pi\)
−0.804614 + 0.593798i \(0.797628\pi\)
\(224\) 17.1633 3.17690i 1.14677 0.212266i
\(225\) −6.69394 + 20.6018i −0.446262 + 1.37345i
\(226\) 23.3509 + 9.96128i 1.55328 + 0.662614i
\(227\) −0.219694 + 1.38709i −0.0145816 + 0.0920645i −0.993906 0.110232i \(-0.964841\pi\)
0.979324 + 0.202297i \(0.0648405\pi\)
\(228\) 5.46436 5.23916i 0.361886 0.346972i
\(229\) −4.00066 + 7.85173i −0.264371 + 0.518857i −0.984588 0.174892i \(-0.944042\pi\)
0.720217 + 0.693749i \(0.244042\pi\)
\(230\) −19.0182 22.7477i −1.25403 1.49994i
\(231\) −2.59754 + 8.97007i −0.170906 + 0.590187i
\(232\) −10.3034 18.0697i −0.676452 1.18633i
\(233\) −2.78385 + 0.904526i −0.182376 + 0.0592575i −0.398781 0.917046i \(-0.630567\pi\)
0.216405 + 0.976304i \(0.430567\pi\)
\(234\) 9.34170 0.636417i 0.610686 0.0416039i
\(235\) 6.07183 + 0.961684i 0.396083 + 0.0627333i
\(236\) −14.9908 + 4.52448i −0.975820 + 0.294519i
\(237\) 0.732055 + 1.43674i 0.0475521 + 0.0933263i
\(238\) −10.4961 + 6.28110i −0.680358 + 0.407143i
\(239\) 16.4209 + 11.9305i 1.06218 + 0.771718i 0.974490 0.224430i \(-0.0720520\pi\)
0.0876885 + 0.996148i \(0.472052\pi\)
\(240\) 0.594512 14.1219i 0.0383756 0.911565i
\(241\) 0.261146 0.0168219 0.00841095 0.999965i \(-0.497323\pi\)
0.00841095 + 0.999965i \(0.497323\pi\)
\(242\) 5.16785 14.6729i 0.332202 0.943208i
\(243\) 11.4216 11.4216i 0.732696 0.732696i
\(244\) −15.8706 12.0487i −1.01601 0.771341i
\(245\) 1.52711 + 9.64179i 0.0975634 + 0.615991i
\(246\) −1.05357 + 4.19360i −0.0671730 + 0.267374i
\(247\) 12.0514 + 3.91573i 0.766811 + 0.249152i
\(248\) −2.32436 1.52728i −0.147597 0.0969826i
\(249\) −6.55257 9.01884i −0.415252 0.571546i
\(250\) 1.85921 + 27.2906i 0.117587 + 1.72601i
\(251\) −8.49903 + 16.6803i −0.536454 + 1.05285i 0.450639 + 0.892706i \(0.351196\pi\)
−0.987094 + 0.160145i \(0.948804\pi\)
\(252\) 13.1632 + 2.36970i 0.829206 + 0.149277i
\(253\) 15.7285 8.66474i 0.988844 0.544748i
\(254\) 0.810925 9.08147i 0.0508820 0.569822i
\(255\) 3.06083 + 9.42026i 0.191676 + 0.589919i
\(256\) −3.64782 15.5786i −0.227989 0.973664i
\(257\) 4.31894 3.13789i 0.269408 0.195736i −0.444876 0.895592i \(-0.646752\pi\)
0.714284 + 0.699856i \(0.246752\pi\)
\(258\) −0.519583 0.221649i −0.0323478 0.0137993i
\(259\) −9.34739 18.3453i −0.580819 1.13992i
\(260\) 21.3018 10.2953i 1.32108 0.638484i
\(261\) −2.49336 15.7425i −0.154335 0.974435i
\(262\) 1.01152 1.61234i 0.0624920 0.0996104i
\(263\) 2.06581i 0.127383i 0.997970 + 0.0636916i \(0.0202874\pi\)
−0.997970 + 0.0636916i \(0.979713\pi\)
\(264\) 8.32519 + 1.99223i 0.512380 + 0.122613i
\(265\) 40.7243i 2.50167i
\(266\) 15.3328 + 9.61923i 0.940113 + 0.589793i
\(267\) 0.0889772 + 0.561780i 0.00544531 + 0.0343804i
\(268\) −7.32071 + 21.0159i −0.447184 + 1.28375i
\(269\) −5.24860 10.3010i −0.320013 0.628060i 0.673827 0.738889i \(-0.264649\pi\)
−0.993839 + 0.110829i \(0.964649\pi\)
\(270\) 10.1322 23.7515i 0.616625 1.44547i
\(271\) −20.8061 + 15.1165i −1.26388 + 0.918262i −0.998941 0.0460039i \(-0.985351\pi\)
−0.264938 + 0.964266i \(0.585351\pi\)
\(272\) 6.20311 + 9.34020i 0.376119 + 0.566333i
\(273\) −2.65807 8.18068i −0.160873 0.495118i
\(274\) 25.1374 + 2.24463i 1.51861 + 0.135603i
\(275\) −32.8917 4.12598i −1.98345 0.248806i
\(276\) 5.63871 + 8.11465i 0.339410 + 0.488444i
\(277\) −4.49193 + 8.81591i −0.269894 + 0.529697i −0.985681 0.168622i \(-0.946068\pi\)
0.715787 + 0.698319i \(0.246068\pi\)
\(278\) 7.75868 0.528572i 0.465335 0.0317016i
\(279\) −1.25265 1.72412i −0.0749941 0.103221i
\(280\) 33.0942 6.84867i 1.97776 0.409286i
\(281\) 9.11829 + 2.96271i 0.543951 + 0.176740i 0.568087 0.822968i \(-0.307684\pi\)
−0.0241361 + 0.999709i \(0.507684\pi\)
\(282\) −1.98699 0.499197i −0.118324 0.0297267i
\(283\) −0.634844 4.00825i −0.0377376 0.238266i 0.961608 0.274425i \(-0.0884876\pi\)
−0.999346 + 0.0361595i \(0.988488\pi\)
\(284\) 6.61299 0.905240i 0.392408 0.0537161i
\(285\) 10.3642 10.3642i 0.613921 0.613921i
\(286\) 3.64752 + 13.8568i 0.215682 + 0.819367i
\(287\) −10.3385 −0.610263
\(288\) 1.60309 12.1548i 0.0944627 0.716230i
\(289\) 7.39654 + 5.37390i 0.435090 + 0.316112i
\(290\) −20.6806 34.5585i −1.21441 2.02934i
\(291\) −2.08346 4.08901i −0.122134 0.239702i
\(292\) 4.19685 + 2.25083i 0.245602 + 0.131720i
\(293\) −26.5915 4.21168i −1.55349 0.246049i −0.680120 0.733101i \(-0.738072\pi\)
−0.873373 + 0.487051i \(0.838072\pi\)
\(294\) −0.221124 3.24578i −0.0128962 0.189298i
\(295\) −28.8341 + 9.36875i −1.67878 + 0.545470i
\(296\) −16.3953 + 9.34867i −0.952955 + 0.543380i
\(297\) 12.9423 + 8.77903i 0.750987 + 0.509411i
\(298\) 6.65874 5.56704i 0.385730 0.322490i
\(299\) −7.50912 + 14.7375i −0.434264 + 0.852291i
\(300\) 0.383712 18.2373i 0.0221536 1.05293i
\(301\) 0.211287 1.33401i 0.0121784 0.0768912i
\(302\) −4.43564 + 10.3979i −0.255242 + 0.598330i
\(303\) 4.93830 15.1985i 0.283698 0.873133i
\(304\) 8.14764 14.4535i 0.467299 0.828962i
\(305\) −31.2119 22.6768i −1.78719 1.29847i
\(306\) 1.91768 + 8.37481i 0.109626 + 0.478756i
\(307\) 2.91468 2.91468i 0.166349 0.166349i −0.619023 0.785373i \(-0.712471\pi\)
0.785373 + 0.619023i \(0.212471\pi\)
\(308\) 0.230324 + 20.4663i 0.0131239 + 1.16617i
\(309\) 4.52695 + 4.52695i 0.257529 + 0.257529i
\(310\) −4.56155 2.86175i −0.259079 0.162537i
\(311\) 4.57690 6.29956i 0.259532 0.357215i −0.659289 0.751890i \(-0.729143\pi\)
0.918821 + 0.394674i \(0.129143\pi\)
\(312\) −7.37613 + 2.78603i −0.417591 + 0.157728i
\(313\) 2.33953 + 0.760158i 0.132238 + 0.0429667i 0.374388 0.927272i \(-0.377853\pi\)
−0.242150 + 0.970239i \(0.577853\pi\)
\(314\) 4.21337 1.69354i 0.237774 0.0955718i
\(315\) 25.5771 + 4.05101i 1.44111 + 0.228249i
\(316\) 2.44588 + 2.55102i 0.137592 + 0.143506i
\(317\) 8.28932 + 4.22362i 0.465574 + 0.237222i 0.671010 0.741449i \(-0.265861\pi\)
−0.205435 + 0.978671i \(0.565861\pi\)
\(318\) 1.20709 13.5181i 0.0676904 0.758058i
\(319\) 22.9419 8.28225i 1.28450 0.463717i
\(320\) −7.69571 30.0075i −0.430203 1.67747i
\(321\) 3.41598 + 10.5133i 0.190661 + 0.586796i
\(322\) −15.5323 + 17.8034i −0.865582 + 0.992142i
\(323\) −1.81888 + 11.4839i −0.101205 + 0.638984i
\(324\) 2.07870 3.87590i 0.115483 0.215328i
\(325\) 27.2057 13.8620i 1.50910 0.768925i
\(326\) −17.3978 4.37088i −0.963575 0.242081i
\(327\) −0.536617 + 0.738590i −0.0296750 + 0.0408441i
\(328\) 0.445100 + 9.46636i 0.0245765 + 0.522692i
\(329\) 4.89855i 0.270066i
\(330\) 16.1965 + 3.51737i 0.891590 + 0.193625i
\(331\) 2.22434 + 2.22434i 0.122261 + 0.122261i 0.765590 0.643329i \(-0.222447\pi\)
−0.643329 + 0.765590i \(0.722447\pi\)
\(332\) −19.4603 14.7740i −1.06802 0.810829i
\(333\) −14.2837 + 2.26232i −0.782744 + 0.123974i
\(334\) −24.8944 + 14.8974i −1.36216 + 0.815150i
\(335\) −13.3150 + 40.9795i −0.727479 + 2.23895i
\(336\) −11.1884 + 1.29243i −0.610376 + 0.0705079i
\(337\) 13.4097 9.74270i 0.730472 0.530719i −0.159241 0.987240i \(-0.550905\pi\)
0.889713 + 0.456521i \(0.150905\pi\)
\(338\) 3.90834 + 3.40978i 0.212586 + 0.185468i
\(339\) −14.5955 7.43679i −0.792719 0.403911i
\(340\) 12.3880 + 17.8275i 0.671834 + 0.966834i
\(341\) 2.23042 2.37932i 0.120784 0.128848i
\(342\) 9.75375 8.15463i 0.527422 0.440952i
\(343\) −13.1441 + 4.27079i −0.709717 + 0.230601i
\(344\) −1.23057 0.136030i −0.0663480 0.00733425i
\(345\) 11.2455 + 15.4782i 0.605440 + 0.833317i
\(346\) 5.20826 2.09343i 0.279998 0.112543i
\(347\) 18.0821 9.21328i 0.970697 0.494595i 0.104624 0.994512i \(-0.466636\pi\)
0.866073 + 0.499917i \(0.166636\pi\)
\(348\) 5.84045 + 12.0844i 0.313081 + 0.647793i
\(349\) 17.3283 2.74453i 0.927561 0.146911i 0.325665 0.945485i \(-0.394412\pi\)
0.601896 + 0.798574i \(0.294412\pi\)
\(350\) 42.5147 9.73508i 2.27250 0.520362i
\(351\) −14.4048 −0.768870
\(352\) 18.7299 1.09202i 0.998305 0.0582049i
\(353\) −17.7020 −0.942180 −0.471090 0.882085i \(-0.656139\pi\)
−0.471090 + 0.882085i \(0.656139\pi\)
\(354\) 9.84894 2.25523i 0.523466 0.119864i
\(355\) 12.7641 2.02164i 0.677450 0.107298i
\(356\) 0.542460 + 1.12240i 0.0287503 + 0.0594870i
\(357\) 7.03242 3.58320i 0.372195 0.189643i
\(358\) −22.7208 + 9.13246i −1.20083 + 0.482666i
\(359\) 6.54381 + 9.00678i 0.345369 + 0.475360i 0.946000 0.324167i \(-0.105084\pi\)
−0.600631 + 0.799526i \(0.705084\pi\)
\(360\) 2.60811 23.5938i 0.137460 1.24350i
\(361\) −1.70676 + 0.554561i −0.0898297 + 0.0291874i
\(362\) −13.8065 + 11.5429i −0.725654 + 0.606683i
\(363\) −3.97037 + 9.21918i −0.208390 + 0.483881i
\(364\) −10.7579 15.4817i −0.563868 0.811461i
\(365\) 8.21567 + 4.18609i 0.430028 + 0.219110i
\(366\) 9.68842 + 8.45254i 0.506422 + 0.441821i
\(367\) 9.76500 7.09469i 0.509729 0.370340i −0.302992 0.952993i \(-0.597985\pi\)
0.812721 + 0.582653i \(0.197985\pi\)
\(368\) 16.9702 + 13.4555i 0.884632 + 0.701419i
\(369\) −2.24398 + 6.90625i −0.116817 + 0.359525i
\(370\) −31.3562 + 18.7643i −1.63013 + 0.975510i
\(371\) 32.0509 5.07637i 1.66400 0.263552i
\(372\) 1.42935 + 1.08515i 0.0741083 + 0.0562621i
\(373\) 2.78227 + 2.78227i 0.144060 + 0.144060i 0.775459 0.631398i \(-0.217519\pi\)
−0.631398 + 0.775459i \(0.717519\pi\)
\(374\) −12.0345 + 5.29466i −0.622289 + 0.273780i
\(375\) 17.6502i 0.911451i
\(376\) −4.48531 + 0.210895i −0.231312 + 0.0108761i
\(377\) −13.2054 + 18.1757i −0.680113 + 0.936095i
\(378\) −19.9560 5.01358i −1.02642 0.257871i
\(379\) −28.3395 + 14.4397i −1.45570 + 0.741718i −0.989712 0.143071i \(-0.954302\pi\)
−0.465991 + 0.884789i \(0.654302\pi\)
\(380\) 15.1830 28.3099i 0.778873 1.45227i
\(381\) −0.920330 + 5.81073i −0.0471499 + 0.297693i
\(382\) −0.343664 + 0.393912i −0.0175834 + 0.0201543i
\(383\) −7.83659 24.1186i −0.400431 1.23240i −0.924650 0.380817i \(-0.875643\pi\)
0.524219 0.851583i \(-0.324357\pi\)
\(384\) 1.66509 + 10.1889i 0.0849714 + 0.519950i
\(385\) 1.27940 + 39.6080i 0.0652040 + 2.01861i
\(386\) −0.537065 + 6.01454i −0.0273359 + 0.306132i
\(387\) −0.845277 0.430690i −0.0429678 0.0218932i
\(388\) −6.96107 7.26029i −0.353395 0.368585i
\(389\) −37.3687 5.91863i −1.89467 0.300086i −0.903077 0.429479i \(-0.858697\pi\)
−0.991593 + 0.129393i \(0.958697\pi\)
\(390\) −14.1648 + 5.69344i −0.717262 + 0.288299i
\(391\) −14.4341 4.68992i −0.729964 0.237180i
\(392\) −2.51946 6.67038i −0.127252 0.336905i
\(393\) −0.721890 + 0.993596i −0.0364145 + 0.0501203i
\(394\) −16.4118 10.2962i −0.826817 0.518715i
\(395\) 4.83849 + 4.83849i 0.243451 + 0.243451i
\(396\) 13.7217 + 4.28836i 0.689543 + 0.215498i
\(397\) −20.3890 + 20.3890i −1.02330 + 1.02330i −0.0235732 + 0.999722i \(0.507504\pi\)
−0.999722 + 0.0235732i \(0.992496\pi\)
\(398\) 5.85177 + 25.5556i 0.293323 + 1.28099i
\(399\) −9.44877 6.86493i −0.473030 0.343677i
\(400\) −10.7442 38.5091i −0.537210 1.92545i
\(401\) 6.09453 18.7570i 0.304346 0.936681i −0.675574 0.737292i \(-0.736104\pi\)
0.979920 0.199389i \(-0.0638958\pi\)
\(402\) 5.63449 13.2082i 0.281023 0.658764i
\(403\) −0.469918 + 2.96695i −0.0234083 + 0.147794i
\(404\) 0.736766 35.0174i 0.0366555 1.74218i
\(405\) 3.86597 7.58739i 0.192101 0.377020i
\(406\) −24.6204 + 20.5839i −1.22189 + 1.02156i
\(407\) −7.51479 20.8160i −0.372494 1.03181i
\(408\) −3.58369 6.28491i −0.177419 0.311149i
\(409\) −18.4508 + 5.99502i −0.912332 + 0.296435i −0.727318 0.686301i \(-0.759233\pi\)
−0.185015 + 0.982736i \(0.559233\pi\)
\(410\) 1.24714 + 18.3063i 0.0615919 + 0.904082i
\(411\) −16.0840 2.54746i −0.793366 0.125657i
\(412\) 12.3654 + 6.63177i 0.609201 + 0.326724i
\(413\) 10.9677 + 21.5252i 0.539683 + 1.05919i
\(414\) 8.52157 + 14.2400i 0.418812 + 0.699858i
\(415\) −38.2717 27.8060i −1.87869 1.36494i
\(416\) −13.7125 + 10.5169i −0.672311 + 0.515634i
\(417\) −5.01792 −0.245728
\(418\) 15.0657 + 12.3103i 0.736887 + 0.602117i
\(419\) 2.92670 2.92670i 0.142979 0.142979i −0.631994 0.774973i \(-0.717763\pi\)
0.774973 + 0.631994i \(0.217763\pi\)
\(420\) −21.6051 + 2.95749i −1.05422 + 0.144311i
\(421\) −2.64081 16.6734i −0.128705 0.812614i −0.964599 0.263722i \(-0.915050\pi\)
0.835893 0.548892i \(-0.184950\pi\)
\(422\) 28.1640 + 7.07569i 1.37100 + 0.344439i
\(423\) −3.27229 1.06323i −0.159104 0.0516961i
\(424\) −6.02801 29.1286i −0.292746 1.41461i
\(425\) 16.4679 + 22.6661i 0.798810 + 1.09947i
\(426\) −4.29688 + 0.292731i −0.208185 + 0.0141829i
\(427\) −13.9565 + 27.3912i −0.675404 + 1.32556i
\(428\) 13.8254 + 19.8961i 0.668276 + 0.961715i
\(429\) −1.74041 9.08041i −0.0840278 0.438406i
\(430\) −2.38761 0.213200i −0.115141 0.0102814i
\(431\) −4.59858 14.1530i −0.221506 0.681725i −0.998627 0.0523748i \(-0.983321\pi\)
0.777121 0.629351i \(-0.216679\pi\)
\(432\) −3.73148 + 18.4884i −0.179531 + 0.889522i
\(433\) 18.1654 13.1979i 0.872973 0.634252i −0.0584100 0.998293i \(-0.518603\pi\)
0.931383 + 0.364041i \(0.118603\pi\)
\(434\) −1.68366 + 3.94677i −0.0808182 + 0.189451i
\(435\) 11.7977 + 23.1544i 0.565659 + 1.11017i
\(436\) −0.658213 + 1.88956i −0.0315227 + 0.0904937i
\(437\) 3.51325 + 22.1818i 0.168062 + 1.06110i
\(438\) −2.60305 1.63306i −0.124379 0.0780306i
\(439\) 30.8141i 1.47068i 0.677700 + 0.735339i \(0.262977\pi\)
−0.677700 + 0.735339i \(0.737023\pi\)
\(440\) 36.2116 2.87669i 1.72632 0.137141i
\(441\) 5.46366i 0.260174i
\(442\) 6.43583 10.2585i 0.306121 0.487948i
\(443\) 2.86616 + 18.0963i 0.136176 + 0.859779i 0.957314 + 0.289050i \(0.0933393\pi\)
−0.821138 + 0.570729i \(0.806661\pi\)
\(444\) 10.9646 5.29925i 0.520359 0.251492i
\(445\) 1.09577 + 2.15057i 0.0519446 + 0.101947i
\(446\) 11.7297 + 5.00377i 0.555416 + 0.236936i
\(447\) −4.53079 + 3.29181i −0.214299 + 0.155697i
\(448\) −22.6574 + 9.79721i −1.07046 + 0.462875i
\(449\) 4.86022 + 14.9582i 0.229368 + 0.705922i 0.997819 + 0.0660133i \(0.0210280\pi\)
−0.768451 + 0.639909i \(0.778972\pi\)
\(450\) 2.72467 30.5133i 0.128442 1.43841i
\(451\) −11.0261 1.38313i −0.519201 0.0651292i
\(452\) −35.3344 6.36105i −1.66199 0.299199i
\(453\) 3.31151 6.49921i 0.155588 0.305359i
\(454\) −0.134993 1.98150i −0.00633553 0.0929965i
\(455\) −21.4550 29.5303i −1.00583 1.38440i
\(456\) −5.87902 + 8.94724i −0.275310 + 0.418993i
\(457\) −1.16770 0.379409i −0.0546227 0.0177480i 0.281578 0.959538i \(-0.409142\pi\)
−0.336201 + 0.941790i \(0.609142\pi\)
\(458\) 3.03657 12.0867i 0.141890 0.564776i
\(459\) −2.06766 13.0547i −0.0965102 0.609342i
\(460\) 33.3978 + 25.3552i 1.55718 + 1.18219i
\(461\) 5.24853 5.24853i 0.244448 0.244448i −0.574239 0.818688i \(-0.694702\pi\)
0.818688 + 0.574239i \(0.194702\pi\)
\(462\) 0.749320 13.1855i 0.0348615 0.613445i
\(463\) 27.8176 1.29279 0.646396 0.763002i \(-0.276275\pi\)
0.646396 + 0.763002i \(0.276275\pi\)
\(464\) 19.9075 + 21.6573i 0.924181 + 1.00541i
\(465\) 2.81104 + 2.04234i 0.130359 + 0.0947113i
\(466\) 3.55211 2.12567i 0.164548 0.0984697i
\(467\) −7.80237 15.3130i −0.361051 0.708602i 0.637010 0.770856i \(-0.280171\pi\)
−0.998060 + 0.0622540i \(0.980171\pi\)
\(468\) −12.6770 + 3.82612i −0.585993 + 0.176862i
\(469\) 33.9116 + 5.37107i 1.56589 + 0.248013i
\(470\) −8.67380 + 0.590915i −0.400093 + 0.0272569i
\(471\) −2.78668 + 0.905446i −0.128403 + 0.0417207i
\(472\) 19.2372 10.9692i 0.885464 0.504896i
\(473\) 0.403810 1.39447i 0.0185672 0.0641179i
\(474\) −1.46268 1.74952i −0.0671833 0.0803579i
\(475\) 18.8217 36.9398i 0.863601 1.69491i
\(476\) 12.4865 11.9719i 0.572318 0.548731i
\(477\) 3.56559 22.5123i 0.163257 1.03077i
\(478\) −26.4027 11.2632i −1.20763 0.515165i
\(479\) −1.89803 + 5.84152i −0.0867230 + 0.266906i −0.985008 0.172507i \(-0.944813\pi\)
0.898285 + 0.439413i \(0.144813\pi\)
\(480\) 3.63815 + 19.6552i 0.166058 + 0.897133i
\(481\) 16.4915 + 11.9817i 0.751946 + 0.546321i
\(482\) −0.359999 + 0.0824332i −0.0163975 + 0.00375473i
\(483\) 10.7799 10.7799i 0.490502 0.490502i
\(484\) −2.49243 + 21.8584i −0.113292 + 0.993562i
\(485\) −13.7705 13.7705i −0.625287 0.625287i
\(486\) −12.1397 + 19.3504i −0.550670 + 0.877752i
\(487\) 8.47326 11.6624i 0.383960 0.528476i −0.572668 0.819787i \(-0.694092\pi\)
0.956628 + 0.291312i \(0.0940917\pi\)
\(488\) 25.6814 + 11.5999i 1.16254 + 0.525103i
\(489\) 11.0083 + 3.57682i 0.497814 + 0.161749i
\(490\) −5.14869 12.8095i −0.232594 0.578674i
\(491\) −15.2931 2.42219i −0.690168 0.109312i −0.198508 0.980099i \(-0.563610\pi\)
−0.491660 + 0.870787i \(0.663610\pi\)
\(492\) 0.128630 6.11359i 0.00579908 0.275622i
\(493\) −18.3677 9.35880i −0.827239 0.421499i
\(494\) −17.8493 1.59384i −0.803077 0.0717104i
\(495\) 26.7363 + 7.74228i 1.20171 + 0.347989i
\(496\) 3.68631 + 1.37171i 0.165520 + 0.0615915i
\(497\) −3.18216 9.79367i −0.142739 0.439306i
\(498\) 11.8798 + 10.3644i 0.532348 + 0.464440i
\(499\) −5.43700 + 34.3279i −0.243394 + 1.53673i 0.498904 + 0.866657i \(0.333736\pi\)
−0.742298 + 0.670070i \(0.766264\pi\)
\(500\) −11.1775 37.0342i −0.499874 1.65622i
\(501\) 16.6794 8.49857i 0.745180 0.379688i
\(502\) 6.45093 25.6772i 0.287919 1.14603i
\(503\) 14.4037 19.8250i 0.642229 0.883952i −0.356503 0.934294i \(-0.616031\pi\)
0.998732 + 0.0503420i \(0.0160311\pi\)
\(504\) −18.8940 + 0.888379i −0.841606 + 0.0395716i
\(505\) 67.8145i 3.01771i
\(506\) −18.9472 + 16.9095i −0.842306 + 0.751719i
\(507\) −2.36649 2.36649i −0.105100 0.105100i
\(508\) 1.74876 + 12.7751i 0.0775888 + 0.566804i
\(509\) 40.0898 6.34960i 1.77695 0.281441i 0.820141 0.572162i \(-0.193895\pi\)
0.956808 + 0.290721i \(0.0938951\pi\)
\(510\) −7.19305 12.0200i −0.318514 0.532253i
\(511\) 2.27045 6.98773i 0.100439 0.309119i
\(512\) 9.94619 + 20.3242i 0.439564 + 0.898211i
\(513\) −15.8234 + 11.4963i −0.698618 + 0.507576i
\(514\) −4.96330 + 5.68901i −0.218922 + 0.250931i
\(515\) 24.2063 + 12.3337i 1.06666 + 0.543490i
\(516\) 0.786229 + 0.141540i 0.0346118 + 0.00623096i
\(517\) 0.655350 5.22436i 0.0288223 0.229767i
\(518\) 18.6766 + 22.3390i 0.820601 + 0.981521i
\(519\) −3.44469 + 1.11925i −0.151205 + 0.0491295i
\(520\) −26.1155 + 20.9165i −1.14524 + 0.917248i
\(521\) 13.6335 + 18.7649i 0.597294 + 0.822104i 0.995457 0.0952102i \(-0.0303523\pi\)
−0.398163 + 0.917314i \(0.630352\pi\)
\(522\) 8.40645 + 20.9145i 0.367940 + 0.915403i
\(523\) 14.1454 7.20745i 0.618536 0.315160i −0.116497 0.993191i \(-0.537167\pi\)
0.735033 + 0.678031i \(0.237167\pi\)
\(524\) −0.885468 + 2.54196i −0.0386819 + 0.111046i
\(525\) −27.7962 + 4.40249i −1.21313 + 0.192140i
\(526\) −0.652091 2.84779i −0.0284325 0.124169i
\(527\) −2.75633 −0.120068
\(528\) −12.1054 0.118438i −0.526822 0.00515434i
\(529\) −6.31493 −0.274562
\(530\) −12.8550 56.1398i −0.558385 2.43856i
\(531\) 16.7597 2.65447i 0.727307 0.115194i
\(532\) −24.1732 8.42051i −1.04804 0.365075i
\(533\) 9.12003 4.64689i 0.395033 0.201279i
\(534\) −0.299989 0.746347i −0.0129818 0.0322976i
\(535\) 27.5727 + 37.9506i 1.19207 + 1.64075i
\(536\) 3.45799 31.2821i 0.149362 1.35118i
\(537\) 15.0273 4.88265i 0.648474 0.210702i
\(538\) 10.4870 + 12.5435i 0.452125 + 0.540787i
\(539\) 8.21159 1.57389i 0.353698 0.0677921i
\(540\) −6.47018 + 35.9406i −0.278432 + 1.54664i
\(541\) 16.0534 + 8.17960i 0.690188 + 0.351668i 0.763651 0.645630i \(-0.223405\pi\)
−0.0734626 + 0.997298i \(0.523405\pi\)
\(542\) 23.9102 27.4063i 1.02703 1.17720i
\(543\) 9.39433 6.82538i 0.403149 0.292905i
\(544\) −11.4995 10.9177i −0.493038 0.468094i
\(545\) −1.19717 + 3.68451i −0.0512811 + 0.157827i
\(546\) 6.24655 + 10.4383i 0.267327 + 0.446719i
\(547\) −25.8122 + 4.08825i −1.10365 + 0.174801i −0.681567 0.731756i \(-0.738701\pi\)
−0.422083 + 0.906557i \(0.638701\pi\)
\(548\) −35.3613 + 4.84055i −1.51056 + 0.206778i
\(549\) 15.2684 + 15.2684i 0.651640 + 0.651640i
\(550\) 46.6448 4.69477i 1.98894 0.200186i
\(551\) 30.5047i 1.29955i
\(552\) −10.3346 9.40641i −0.439871 0.400364i
\(553\) 3.20488 4.41113i 0.136285 0.187580i
\(554\) 3.40946 13.5710i 0.144854 0.576575i
\(555\) 21.0088 10.7045i 0.891775 0.454382i
\(556\) −10.5288 + 3.17775i −0.446519 + 0.134767i
\(557\) 4.88336 30.8323i 0.206915 1.30641i −0.637388 0.770543i \(-0.719985\pi\)
0.844303 0.535866i \(-0.180015\pi\)
\(558\) 2.27106 + 1.98135i 0.0961414 + 0.0838774i
\(559\) 0.413219 + 1.27176i 0.0174773 + 0.0537896i
\(560\) −43.4597 + 19.8876i −1.83651 + 0.840405i
\(561\) 7.97954 2.88069i 0.336896 0.121623i
\(562\) −13.5051 1.20593i −0.569678 0.0508691i
\(563\) −41.1789 20.9817i −1.73548 0.884274i −0.970807 0.239860i \(-0.922898\pi\)
−0.764677 0.644413i \(-0.777102\pi\)
\(564\) 2.89672 + 0.0609469i 0.121974 + 0.00256633i
\(565\) −68.6572 10.8742i −2.88843 0.457482i
\(566\) 2.14040 + 5.32512i 0.0899676 + 0.223831i
\(567\) −6.45335 2.09682i −0.271015 0.0880582i
\(568\) −8.83049 + 3.33536i −0.370519 + 0.139948i
\(569\) 12.1408 16.7104i 0.508969 0.700536i −0.474776 0.880107i \(-0.657471\pi\)
0.983745 + 0.179571i \(0.0574710\pi\)
\(570\) −11.0158 + 17.5589i −0.461403 + 0.735463i
\(571\) −20.6266 20.6266i −0.863196 0.863196i 0.128512 0.991708i \(-0.458980\pi\)
−0.991708 + 0.128512i \(0.958980\pi\)
\(572\) −9.40224 17.9507i −0.393127 0.750555i
\(573\) 0.238513 0.238513i 0.00996402 0.00996402i
\(574\) 14.2520 3.26345i 0.594867 0.136214i
\(575\) 43.7807 + 31.8085i 1.82578 + 1.32651i
\(576\) 1.62687 + 17.2619i 0.0677864 + 0.719245i
\(577\) 13.1389 40.4374i 0.546980 1.68343i −0.169254 0.985573i \(-0.554136\pi\)
0.716234 0.697860i \(-0.245864\pi\)
\(578\) −11.8927 5.07332i −0.494671 0.211022i
\(579\) 0.609522 3.84837i 0.0253309 0.159933i
\(580\) 39.4177 + 41.1120i 1.63673 + 1.70708i
\(581\) −17.1133 + 33.5868i −0.709981 + 1.39342i
\(582\) 4.16285 + 4.97918i 0.172556 + 0.206394i
\(583\) 34.8619 1.12609i 1.44383 0.0466378i
\(584\) −6.49600 1.77808i −0.268806 0.0735774i
\(585\) −24.3835 + 7.92267i −1.00813 + 0.327562i
\(586\) 37.9868 2.58791i 1.56922 0.106905i
\(587\) 2.83347 + 0.448777i 0.116950 + 0.0185230i 0.214635 0.976694i \(-0.431144\pi\)
−0.0976852 + 0.995217i \(0.531144\pi\)
\(588\) 1.32939 + 4.40463i 0.0548231 + 0.181644i
\(589\) 1.85170 + 3.63417i 0.0762981 + 0.149743i
\(590\) 36.7914 22.0169i 1.51468 0.906421i
\(591\) 10.1137 + 7.34806i 0.416024 + 0.302259i
\(592\) 19.6505 18.0628i 0.807629 0.742376i
\(593\) −33.9484 −1.39409 −0.697047 0.717026i \(-0.745503\pi\)
−0.697047 + 0.717026i \(0.745503\pi\)
\(594\) −20.6126 8.01685i −0.845743 0.328935i
\(595\) 23.6830 23.6830i 0.970908 0.970908i
\(596\) −7.42202 + 9.77626i −0.304018 + 0.400451i
\(597\) −2.64634 16.7083i −0.108308 0.683827i
\(598\) 5.69957 22.6865i 0.233073 0.927718i
\(599\) 6.51432 + 2.11663i 0.266168 + 0.0864832i 0.439061 0.898457i \(-0.355311\pi\)
−0.172893 + 0.984941i \(0.555311\pi\)
\(600\) 5.22780 + 25.2618i 0.213424 + 1.03131i
\(601\) −12.9913 17.8810i −0.529926 0.729381i 0.457193 0.889368i \(-0.348855\pi\)
−0.987119 + 0.159987i \(0.948855\pi\)
\(602\) 0.129827 + 1.90568i 0.00529136 + 0.0776696i
\(603\) 10.9485 21.4876i 0.445856 0.875041i
\(604\) 2.83250 15.7340i 0.115253 0.640207i
\(605\) −3.93445 + 42.4136i −0.159958 + 1.72436i
\(606\) −2.01007 + 22.5105i −0.0816533 + 0.914428i
\(607\) 6.90219 + 21.2428i 0.280151 + 0.862217i 0.987810 + 0.155663i \(0.0497514\pi\)
−0.707659 + 0.706554i \(0.750249\pi\)
\(608\) −6.66944 + 22.4965i −0.270482 + 0.912353i
\(609\) 16.7524 12.1713i 0.678842 0.493208i
\(610\) 50.1849 + 21.4084i 2.03193 + 0.866802i
\(611\) 2.20177 + 4.32122i 0.0890741 + 0.174818i
\(612\) −5.28718 10.9396i −0.213721 0.442209i
\(613\) 3.56162 + 22.4872i 0.143853 + 0.908250i 0.949023 + 0.315206i \(0.102074\pi\)
−0.805171 + 0.593043i \(0.797926\pi\)
\(614\) −3.09794 + 4.93803i −0.125023 + 0.199283i
\(615\) 11.8395i 0.477417i
\(616\) −6.77788 28.1408i −0.273089 1.13382i
\(617\) 43.7643i 1.76189i −0.473222 0.880943i \(-0.656909\pi\)
0.473222 0.880943i \(-0.343091\pi\)
\(618\) −7.66953 4.81159i −0.308514 0.193550i
\(619\) 0.639405 + 4.03705i 0.0256999 + 0.162263i 0.997200 0.0747745i \(-0.0238237\pi\)
−0.971501 + 0.237037i \(0.923824\pi\)
\(620\) 7.19160 + 2.50513i 0.288822 + 0.100608i
\(621\) −11.5904 22.7475i −0.465108 0.912826i
\(622\) −4.32090 + 10.1289i −0.173252 + 0.406132i
\(623\) 1.55596 1.13047i 0.0623383 0.0452914i
\(624\) 9.28882 6.16899i 0.371850 0.246957i
\(625\) −7.70204 23.7044i −0.308081 0.948177i
\(626\) −3.46507 0.309412i −0.138492 0.0123666i
\(627\) −9.15881 8.58564i −0.365768 0.342877i
\(628\) −5.27370 + 3.66459i −0.210443 + 0.146233i
\(629\) −8.49159 + 16.6657i −0.338582 + 0.664504i
\(630\) −36.5377 + 2.48918i −1.45570 + 0.0991714i
\(631\) −3.88515 5.34746i −0.154666 0.212879i 0.724652 0.689115i \(-0.242001\pi\)
−0.879317 + 0.476236i \(0.842001\pi\)
\(632\) −4.17699 2.74460i −0.166152 0.109174i
\(633\) −17.8205 5.79024i −0.708303 0.230142i
\(634\) −12.7603 3.20581i −0.506778 0.127319i
\(635\) 3.90545 + 24.6580i 0.154983 + 0.978524i
\(636\) 2.60310 + 19.0162i 0.103220 + 0.754043i
\(637\) −5.44563 + 5.44563i −0.215764 + 0.215764i
\(638\) −29.0118 + 18.6592i −1.14859 + 0.738724i
\(639\) −7.23298 −0.286132
\(640\) 20.0810 + 38.9372i 0.793770 + 1.53913i
\(641\) 28.0260 + 20.3621i 1.10696 + 0.804255i 0.982182 0.187930i \(-0.0601778\pi\)
0.124779 + 0.992185i \(0.460178\pi\)
\(642\) −8.02767 13.4147i −0.316827 0.529435i
\(643\) −5.57281 10.9373i −0.219770 0.431323i 0.754628 0.656153i \(-0.227817\pi\)
−0.974398 + 0.224830i \(0.927817\pi\)
\(644\) 15.7920 29.4455i 0.622294 1.16031i
\(645\) 1.52770 + 0.241963i 0.0601530 + 0.00952730i
\(646\) −1.11763 16.4052i −0.0439724 0.645453i
\(647\) 39.4149 12.8067i 1.54956 0.503483i 0.595566 0.803306i \(-0.296928\pi\)
0.953995 + 0.299823i \(0.0969278\pi\)
\(648\) −1.64210 + 5.99923i −0.0645078 + 0.235672i
\(649\) 8.81739 + 24.4242i 0.346113 + 0.958735i
\(650\) −33.1283 + 27.6970i −1.29940 + 1.08636i
\(651\) 1.25697 2.46694i 0.0492644 0.0966869i
\(652\) 25.3632 + 0.533641i 0.993299 + 0.0208990i
\(653\) −3.16815 + 20.0029i −0.123979 + 0.782775i 0.844842 + 0.535016i \(0.179694\pi\)
−0.968822 + 0.247759i \(0.920306\pi\)
\(654\) 0.506603 1.18756i 0.0198097 0.0464373i
\(655\) −1.61051 + 4.95662i −0.0629276 + 0.193671i
\(656\) −3.60173 12.9092i −0.140624 0.504020i
\(657\) −4.17509 3.03338i −0.162886 0.118343i
\(658\) 1.54627 + 6.75282i 0.0602800 + 0.263252i
\(659\) −28.9522 + 28.9522i −1.12782 + 1.12782i −0.137288 + 0.990531i \(0.543839\pi\)
−0.990531 + 0.137288i \(0.956161\pi\)
\(660\) −23.4378 + 0.263765i −0.912314 + 0.0102670i
\(661\) 23.7461 + 23.7461i 0.923614 + 0.923614i 0.997283 0.0736684i \(-0.0234707\pi\)
−0.0736684 + 0.997283i \(0.523471\pi\)
\(662\) −3.76847 2.36420i −0.146466 0.0918872i
\(663\) −4.59304 + 6.32178i −0.178379 + 0.245518i
\(664\) 31.4903 + 14.2237i 1.22206 + 0.551986i
\(665\) −47.1359 15.3154i −1.82785 0.593905i
\(666\) 18.9765 7.62748i 0.735325 0.295559i
\(667\) −39.3277 6.22890i −1.52278 0.241184i
\(668\) 29.6153 28.3948i 1.14585 1.09863i
\(669\) −7.33165 3.73566i −0.283458 0.144429i
\(670\) 5.41970 60.6947i 0.209381 2.34484i
\(671\) −18.5493 + 27.3459i −0.716089 + 1.05568i
\(672\) 15.0156 5.31338i 0.579239 0.204968i
\(673\) 1.43827 + 4.42653i 0.0554411 + 0.170630i 0.974943 0.222456i \(-0.0714074\pi\)
−0.919502 + 0.393086i \(0.871407\pi\)
\(674\) −15.4103 + 17.6635i −0.593584 + 0.680374i
\(675\) −7.37262 + 46.5489i −0.283772 + 1.79167i
\(676\) −6.46411 3.46680i −0.248620 0.133338i
\(677\) −23.9658 + 12.2112i −0.921081 + 0.469314i −0.849183 0.528098i \(-0.822905\pi\)
−0.0718972 + 0.997412i \(0.522905\pi\)
\(678\) 22.4679 + 5.64466i 0.862875 + 0.216782i
\(679\) −9.12119 + 12.5542i −0.350039 + 0.481787i
\(680\) −22.7047 20.6655i −0.870687 0.792486i
\(681\) 1.28153i 0.0491085i
\(682\) −2.32366 + 3.98403i −0.0889775 + 0.152557i
\(683\) −22.4212 22.4212i −0.857925 0.857925i 0.133169 0.991093i \(-0.457485\pi\)
−0.991093 + 0.133169i \(0.957485\pi\)
\(684\) −10.8718 + 14.3203i −0.415694 + 0.547551i
\(685\) −68.2531 + 10.8102i −2.60782 + 0.413037i
\(686\) 16.7715 10.0365i 0.640340 0.383195i
\(687\) −2.48492 + 7.64779i −0.0948055 + 0.291781i
\(688\) 1.73933 0.200919i 0.0663112 0.00765998i
\(689\) −25.9918 + 18.8841i −0.990209 + 0.719429i
\(690\) −20.3882 17.7874i −0.776166 0.677156i
\(691\) 41.3481 + 21.0679i 1.57295 + 0.801460i 0.999838 0.0180133i \(-0.00573411\pi\)
0.573117 + 0.819474i \(0.305734\pi\)
\(692\) −6.51896 + 4.52990i −0.247814 + 0.172201i
\(693\) 2.76061 22.0072i 0.104867 0.835984i
\(694\) −22.0185 + 18.4086i −0.835812 + 0.698781i
\(695\) −20.2515 + 6.58011i −0.768183 + 0.249598i
\(696\) −11.8658 14.8152i −0.449773 0.561569i
\(697\) 5.52046 + 7.59826i 0.209102 + 0.287805i
\(698\) −23.0213 + 9.25326i −0.871369 + 0.350241i
\(699\) −2.37993 + 1.21264i −0.0900173 + 0.0458661i
\(700\) −55.5350 + 26.8403i −2.09903 + 1.01447i
\(701\) −47.8617 + 7.58055i −1.80771 + 0.286313i −0.966927 0.255055i \(-0.917906\pi\)
−0.840786 + 0.541368i \(0.817906\pi\)
\(702\) 19.8575 4.54700i 0.749473 0.171615i
\(703\) 27.6781 1.04390
\(704\) −25.4751 + 7.41764i −0.960127 + 0.279563i
\(705\) 5.60977 0.211276
\(706\) 24.4028 5.58779i 0.918410 0.210299i
\(707\) −53.3716 + 8.45323i −2.00725 + 0.317917i
\(708\) −12.8652 + 6.21782i −0.483505 + 0.233680i
\(709\) 11.1312 5.67163i 0.418041 0.213003i −0.232301 0.972644i \(-0.574625\pi\)
0.650342 + 0.759641i \(0.274625\pi\)
\(710\) −16.9577 + 6.81602i −0.636410 + 0.255801i
\(711\) −2.25107 3.09833i −0.0844218 0.116197i
\(712\) −1.10210 1.37603i −0.0413028 0.0515690i
\(713\) −5.06341 + 1.64520i −0.189626 + 0.0616132i
\(714\) −8.56337 + 7.15941i −0.320476 + 0.267934i
\(715\) −18.9314 34.3648i −0.707993 1.28517i
\(716\) 28.4386 19.7614i 1.06280 0.738520i
\(717\) 16.5031 + 8.40874i 0.616319 + 0.314030i
\(718\) −11.8639 10.3506i −0.442759 0.386279i
\(719\) 6.15179 4.46954i 0.229423 0.166686i −0.467135 0.884186i \(-0.654714\pi\)
0.696558 + 0.717500i \(0.254714\pi\)
\(720\) 3.85224 + 33.3482i 0.143564 + 1.24281i
\(721\) 6.68957 20.5884i 0.249133 0.766752i
\(722\) 2.17778 1.30324i 0.0810486 0.0485015i
\(723\) 0.235369 0.0372787i 0.00875345 0.00138641i
\(724\) 15.3891 20.2705i 0.571932 0.753347i
\(725\) 51.9757 + 51.9757i 1.93033 + 1.93033i
\(726\) 2.56317 13.9622i 0.0951283 0.518187i
\(727\) 5.90832i 0.219127i 0.993980 + 0.109564i \(0.0349454\pi\)
−0.993980 + 0.109564i \(0.965055\pi\)
\(728\) 19.7171 + 17.9462i 0.730765 + 0.665131i
\(729\) 4.78600 6.58737i 0.177259 0.243977i
\(730\) −12.6470 3.17732i −0.468085 0.117598i
\(731\) −1.09325 + 0.557038i −0.0404353 + 0.0206028i
\(732\) −16.0239 8.59388i −0.592262 0.317639i
\(733\) −2.11393 + 13.3468i −0.0780796 + 0.492975i 0.917397 + 0.397972i \(0.130286\pi\)
−0.995477 + 0.0950030i \(0.969714\pi\)
\(734\) −11.2219 + 12.8627i −0.414208 + 0.474771i
\(735\) 2.75274 + 8.47206i 0.101536 + 0.312497i
\(736\) −27.6414 13.1921i −1.01887 0.486269i
\(737\) 35.4485 + 10.2652i 1.30576 + 0.378122i
\(738\) 0.913379 10.2288i 0.0336219 0.376529i
\(739\) 16.8535 + 8.58730i 0.619967 + 0.315889i 0.735613 0.677401i \(-0.236894\pi\)
−0.115647 + 0.993290i \(0.536894\pi\)
\(740\) 37.3025 35.7651i 1.37127 1.31475i
\(741\) 11.4208 + 1.80887i 0.419552 + 0.0664506i
\(742\) −42.5810 + 17.1151i −1.56320 + 0.628316i
\(743\) 28.8580 + 9.37652i 1.05870 + 0.343991i 0.786076 0.618130i \(-0.212110\pi\)
0.272620 + 0.962122i \(0.412110\pi\)
\(744\) −2.31295 1.04472i −0.0847967 0.0383014i
\(745\) −13.9689 + 19.2266i −0.511781 + 0.704406i
\(746\) −4.71370 2.95720i −0.172581 0.108271i
\(747\) 18.7220 + 18.7220i 0.685001 + 0.685001i
\(748\) 14.9187 11.0977i 0.545480 0.405771i
\(749\) 26.4310 26.4310i 0.965767 0.965767i
\(750\) 5.57144 + 24.3314i 0.203440 + 0.888456i
\(751\) −31.5739 22.9398i −1.15215 0.837084i −0.163382 0.986563i \(-0.552240\pi\)
−0.988765 + 0.149479i \(0.952240\pi\)
\(752\) 6.11659 1.70656i 0.223049 0.0622317i
\(753\) −5.27898 + 16.2470i −0.192377 + 0.592075i
\(754\) 12.4668 29.2242i 0.454014 1.06428i
\(755\) 4.84216 30.5722i 0.176224 1.11264i
\(756\) 29.0926 + 0.612108i 1.05809 + 0.0222622i
\(757\) −4.51931 + 8.86964i −0.164257 + 0.322373i −0.958434 0.285314i \(-0.907902\pi\)
0.794177 + 0.607686i \(0.207902\pi\)
\(758\) 34.5090 28.8513i 1.25342 1.04793i
\(759\) 12.9391 10.0547i 0.469659 0.364963i
\(760\) −11.9941 + 43.8189i −0.435070 + 1.58948i
\(761\) 31.3215 10.1770i 1.13540 0.368915i 0.319777 0.947493i \(-0.396392\pi\)
0.815627 + 0.578578i \(0.196392\pi\)
\(762\) −0.565505 8.30081i −0.0204861 0.300707i
\(763\) 3.04902 + 0.482918i 0.110382 + 0.0174828i
\(764\) 0.349410 0.651502i 0.0126412 0.0235705i
\(765\) −10.6801 20.9609i −0.386141 0.757844i
\(766\) 18.4163 + 30.7746i 0.665407 + 1.11193i
\(767\) −19.3501 14.0586i −0.698690 0