Properties

Label 390.2.x.b.199.4
Level $390$
Weight $2$
Character 390.199
Analytic conductor $3.114$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.x (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \( x^{12} - 2 x^{11} - 8 x^{10} + 34 x^{9} + 8 x^{8} - 134 x^{7} + 98 x^{6} + 154 x^{5} + 104 x^{4} + 190 x^{3} - 1196 x^{2} - 338 x + 2197 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 199.4
Root \(2.00607 + 1.30680i\) of defining polynomial
Character \(\chi\) \(=\) 390.199
Dual form 390.2.x.b.49.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.26873 + 1.84128i) q^{5} +(0.866025 - 0.500000i) q^{6} +(2.17283 + 3.76344i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.866025 + 0.500000i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-1.26873 + 1.84128i) q^{5} +(0.866025 - 0.500000i) q^{6} +(2.17283 + 3.76344i) q^{7} -1.00000 q^{8} +(0.500000 + 0.866025i) q^{9} +(0.960230 + 2.01940i) q^{10} +(-2.04055 - 1.17811i) q^{11} -1.00000i q^{12} +(3.18419 + 1.69144i) q^{13} +4.34565 q^{14} +(-2.01940 + 0.960230i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-2.60564 + 1.50437i) q^{17} +1.00000 q^{18} +(0.585872 - 0.338254i) q^{19} +(2.22896 + 0.178114i) q^{20} +4.34565i q^{21} +(-2.04055 + 1.17811i) q^{22} +(5.58405 + 3.22396i) q^{23} +(-0.866025 - 0.500000i) q^{24} +(-1.78064 - 4.67219i) q^{25} +(3.05692 - 1.91187i) q^{26} +1.00000i q^{27} +(2.17283 - 3.76344i) q^{28} +(4.82620 - 8.35922i) q^{29} +(-0.178114 + 2.22896i) q^{30} -7.11493i q^{31} +(0.500000 + 0.866025i) q^{32} +(-1.17811 - 2.04055i) q^{33} +3.00874i q^{34} +(-9.68629 - 0.774021i) q^{35} +(0.500000 - 0.866025i) q^{36} +(-3.74165 + 6.48073i) q^{37} -0.676507i q^{38} +(1.91187 + 3.05692i) q^{39} +(1.26873 - 1.84128i) q^{40} +(-2.60564 - 1.50437i) q^{41} +(3.76344 + 2.17283i) q^{42} +(5.91710 - 3.41624i) q^{43} +2.35623i q^{44} +(-2.22896 - 0.178114i) q^{45} +(5.58405 - 3.22396i) q^{46} -5.61529 q^{47} +(-0.866025 + 0.500000i) q^{48} +(-5.94234 + 10.2924i) q^{49} +(-4.93655 - 0.794019i) q^{50} -3.00874 q^{51} +(-0.127265 - 3.60330i) q^{52} -9.43400i q^{53} +(0.866025 + 0.500000i) q^{54} +(4.75816 - 2.26252i) q^{55} +(-2.17283 - 3.76344i) q^{56} +0.676507 q^{57} +(-4.82620 - 8.35922i) q^{58} +(-4.56364 + 2.63482i) q^{59} +(1.84128 + 1.26873i) q^{60} +(2.15646 + 3.73509i) q^{61} +(-6.16171 - 3.55746i) q^{62} +(-2.17283 + 3.76344i) q^{63} +1.00000 q^{64} +(-7.15429 + 3.71700i) q^{65} -2.35623 q^{66} +(2.91329 - 5.04596i) q^{67} +(2.60564 + 1.50437i) q^{68} +(3.22396 + 5.58405i) q^{69} +(-5.51347 + 8.00157i) q^{70} +(2.52520 - 1.45793i) q^{71} +(-0.500000 - 0.866025i) q^{72} +7.67804 q^{73} +(3.74165 + 6.48073i) q^{74} +(0.794019 - 4.93655i) q^{75} +(-0.585872 - 0.338254i) q^{76} -10.2393i q^{77} +(3.60330 - 0.127265i) q^{78} -3.74519 q^{79} +(-0.960230 - 2.01940i) q^{80} +(-0.500000 + 0.866025i) q^{81} +(-2.60564 + 1.50437i) q^{82} -10.3557 q^{83} +(3.76344 - 2.17283i) q^{84} +(0.535898 - 6.70637i) q^{85} -6.83247i q^{86} +(8.35922 - 4.82620i) q^{87} +(2.04055 + 1.17811i) q^{88} +(4.15208 + 2.39720i) q^{89} +(-1.26873 + 1.84128i) q^{90} +(0.553049 + 15.6587i) q^{91} -6.44791i q^{92} +(3.55746 - 6.16171i) q^{93} +(-2.80764 + 4.86298i) q^{94} +(-0.120495 + 1.50791i) q^{95} +1.00000i q^{96} +(8.17066 + 14.1520i) q^{97} +(5.94234 + 10.2924i) q^{98} -2.35623i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} + 2 q^{7} - 12 q^{8} + 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 12 q + 6 q^{2} - 6 q^{4} + 2 q^{5} + 2 q^{7} - 12 q^{8} + 6 q^{9} + 4 q^{10} + 6 q^{11} + 8 q^{13} + 4 q^{14} + 6 q^{15} - 6 q^{16} - 18 q^{17} + 12 q^{18} - 6 q^{19} + 2 q^{20} + 6 q^{22} - 6 q^{23} - 10 q^{25} - 2 q^{26} + 2 q^{28} + 14 q^{29} + 6 q^{30} + 6 q^{32} - 6 q^{33} - 22 q^{35} + 6 q^{36} + 12 q^{37} - 2 q^{39} - 2 q^{40} - 18 q^{41} + 12 q^{42} + 36 q^{43} - 2 q^{45} - 6 q^{46} - 16 q^{47} + 8 q^{49} - 20 q^{50} + 16 q^{51} - 10 q^{52} + 8 q^{55} - 2 q^{56} + 8 q^{57} - 14 q^{58} - 36 q^{59} + 10 q^{61} - 6 q^{62} - 2 q^{63} + 12 q^{64} - 44 q^{65} - 12 q^{66} - 4 q^{67} + 18 q^{68} + 16 q^{69} + 4 q^{70} - 12 q^{71} - 6 q^{72} - 28 q^{73} - 12 q^{74} + 16 q^{75} + 6 q^{76} + 2 q^{78} + 4 q^{79} - 4 q^{80} - 6 q^{81} - 18 q^{82} - 72 q^{83} + 12 q^{84} + 48 q^{85} - 6 q^{87} - 6 q^{88} + 18 q^{89} + 2 q^{90} + 2 q^{91} + 16 q^{93} - 8 q^{94} + 18 q^{95} + 48 q^{97} - 8 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) 0.866025 + 0.500000i 0.500000 + 0.288675i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −1.26873 + 1.84128i −0.567394 + 0.823446i
\(6\) 0.866025 0.500000i 0.353553 0.204124i
\(7\) 2.17283 + 3.76344i 0.821251 + 1.42245i 0.904751 + 0.425940i \(0.140057\pi\)
−0.0835003 + 0.996508i \(0.526610\pi\)
\(8\) −1.00000 −0.353553
\(9\) 0.500000 + 0.866025i 0.166667 + 0.288675i
\(10\) 0.960230 + 2.01940i 0.303651 + 0.638589i
\(11\) −2.04055 1.17811i −0.615250 0.355215i 0.159767 0.987155i \(-0.448926\pi\)
−0.775017 + 0.631940i \(0.782259\pi\)
\(12\) 1.00000i 0.288675i
\(13\) 3.18419 + 1.69144i 0.883134 + 0.469120i
\(14\) 4.34565 1.16142
\(15\) −2.01940 + 0.960230i −0.521406 + 0.247930i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −2.60564 + 1.50437i −0.631962 + 0.364863i −0.781511 0.623891i \(-0.785551\pi\)
0.149550 + 0.988754i \(0.452218\pi\)
\(18\) 1.00000 0.235702
\(19\) 0.585872 0.338254i 0.134408 0.0776007i −0.431288 0.902214i \(-0.641941\pi\)
0.565696 + 0.824614i \(0.308607\pi\)
\(20\) 2.22896 + 0.178114i 0.498411 + 0.0398275i
\(21\) 4.34565i 0.948299i
\(22\) −2.04055 + 1.17811i −0.435047 + 0.251175i
\(23\) 5.58405 + 3.22396i 1.16436 + 0.672241i 0.952344 0.305026i \(-0.0986651\pi\)
0.212012 + 0.977267i \(0.431998\pi\)
\(24\) −0.866025 0.500000i −0.176777 0.102062i
\(25\) −1.78064 4.67219i −0.356127 0.934438i
\(26\) 3.05692 1.91187i 0.599511 0.374948i
\(27\) 1.00000i 0.192450i
\(28\) 2.17283 3.76344i 0.410625 0.711224i
\(29\) 4.82620 8.35922i 0.896202 1.55227i 0.0638921 0.997957i \(-0.479649\pi\)
0.832310 0.554311i \(-0.187018\pi\)
\(30\) −0.178114 + 2.22896i −0.0325190 + 0.406951i
\(31\) 7.11493i 1.27788i −0.769257 0.638939i \(-0.779374\pi\)
0.769257 0.638939i \(-0.220626\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −1.17811 2.04055i −0.205083 0.355215i
\(34\) 3.00874i 0.515995i
\(35\) −9.68629 0.774021i −1.63728 0.130833i
\(36\) 0.500000 0.866025i 0.0833333 0.144338i
\(37\) −3.74165 + 6.48073i −0.615123 + 1.06542i 0.375240 + 0.926928i \(0.377560\pi\)
−0.990363 + 0.138497i \(0.955773\pi\)
\(38\) 0.676507i 0.109744i
\(39\) 1.91187 + 3.05692i 0.306144 + 0.489499i
\(40\) 1.26873 1.84128i 0.200604 0.291132i
\(41\) −2.60564 1.50437i −0.406933 0.234943i 0.282538 0.959256i \(-0.408824\pi\)
−0.689471 + 0.724313i \(0.742157\pi\)
\(42\) 3.76344 + 2.17283i 0.580712 + 0.335274i
\(43\) 5.91710 3.41624i 0.902349 0.520971i 0.0243872 0.999703i \(-0.492237\pi\)
0.877961 + 0.478731i \(0.158903\pi\)
\(44\) 2.35623i 0.355215i
\(45\) −2.22896 0.178114i −0.332274 0.0265517i
\(46\) 5.58405 3.22396i 0.823324 0.475346i
\(47\) −5.61529 −0.819074 −0.409537 0.912294i \(-0.634310\pi\)
−0.409537 + 0.912294i \(0.634310\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) −5.94234 + 10.2924i −0.848906 + 1.47035i
\(50\) −4.93655 0.794019i −0.698134 0.112291i
\(51\) −3.00874 −0.421308
\(52\) −0.127265 3.60330i −0.0176485 0.499688i
\(53\) 9.43400i 1.29586i −0.761700 0.647930i \(-0.775635\pi\)
0.761700 0.647930i \(-0.224365\pi\)
\(54\) 0.866025 + 0.500000i 0.117851 + 0.0680414i
\(55\) 4.75816 2.26252i 0.641590 0.305078i
\(56\) −2.17283 3.76344i −0.290356 0.502911i
\(57\) 0.676507 0.0896056
\(58\) −4.82620 8.35922i −0.633711 1.09762i
\(59\) −4.56364 + 2.63482i −0.594135 + 0.343024i −0.766731 0.641969i \(-0.778118\pi\)
0.172596 + 0.984993i \(0.444785\pi\)
\(60\) 1.84128 + 1.26873i 0.237708 + 0.163793i
\(61\) 2.15646 + 3.73509i 0.276106 + 0.478230i 0.970414 0.241449i \(-0.0776225\pi\)
−0.694307 + 0.719679i \(0.744289\pi\)
\(62\) −6.16171 3.55746i −0.782538 0.451798i
\(63\) −2.17283 + 3.76344i −0.273750 + 0.474149i
\(64\) 1.00000 0.125000
\(65\) −7.15429 + 3.71700i −0.887381 + 0.461037i
\(66\) −2.35623 −0.290032
\(67\) 2.91329 5.04596i 0.355915 0.616463i −0.631359 0.775490i \(-0.717503\pi\)
0.987274 + 0.159028i \(0.0508360\pi\)
\(68\) 2.60564 + 1.50437i 0.315981 + 0.182432i
\(69\) 3.22396 + 5.58405i 0.388119 + 0.672241i
\(70\) −5.51347 + 8.00157i −0.658986 + 0.956370i
\(71\) 2.52520 1.45793i 0.299686 0.173024i −0.342616 0.939476i \(-0.611313\pi\)
0.642302 + 0.766452i \(0.277980\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 7.67804 0.898647 0.449323 0.893369i \(-0.351665\pi\)
0.449323 + 0.893369i \(0.351665\pi\)
\(74\) 3.74165 + 6.48073i 0.434958 + 0.753369i
\(75\) 0.794019 4.93655i 0.0916854 0.570024i
\(76\) −0.585872 0.338254i −0.0672042 0.0388004i
\(77\) 10.2393i 1.16688i
\(78\) 3.60330 0.127265i 0.407994 0.0144099i
\(79\) −3.74519 −0.421367 −0.210683 0.977554i \(-0.567569\pi\)
−0.210683 + 0.977554i \(0.567569\pi\)
\(80\) −0.960230 2.01940i −0.107357 0.225775i
\(81\) −0.500000 + 0.866025i −0.0555556 + 0.0962250i
\(82\) −2.60564 + 1.50437i −0.287745 + 0.166130i
\(83\) −10.3557 −1.13668 −0.568341 0.822793i \(-0.692415\pi\)
−0.568341 + 0.822793i \(0.692415\pi\)
\(84\) 3.76344 2.17283i 0.410625 0.237075i
\(85\) 0.535898 6.70637i 0.0581263 0.727408i
\(86\) 6.83247i 0.736765i
\(87\) 8.35922 4.82620i 0.896202 0.517422i
\(88\) 2.04055 + 1.17811i 0.217524 + 0.125587i
\(89\) 4.15208 + 2.39720i 0.440119 + 0.254103i 0.703648 0.710549i \(-0.251553\pi\)
−0.263529 + 0.964651i \(0.584886\pi\)
\(90\) −1.26873 + 1.84128i −0.133736 + 0.194088i
\(91\) 0.553049 + 15.6587i 0.0579753 + 1.64148i
\(92\) 6.44791i 0.672241i
\(93\) 3.55746 6.16171i 0.368892 0.638939i
\(94\) −2.80764 + 4.86298i −0.289586 + 0.501578i
\(95\) −0.120495 + 1.50791i −0.0123626 + 0.154708i
\(96\) 1.00000i 0.102062i
\(97\) 8.17066 + 14.1520i 0.829605 + 1.43692i 0.898349 + 0.439283i \(0.144768\pi\)
−0.0687436 + 0.997634i \(0.521899\pi\)
\(98\) 5.94234 + 10.2924i 0.600267 + 1.03969i
\(99\) 2.35623i 0.236810i
\(100\) −3.15592 + 3.87817i −0.315592 + 0.387817i
\(101\) −6.11911 + 10.5986i −0.608875 + 1.05460i 0.382552 + 0.923934i \(0.375045\pi\)
−0.991426 + 0.130668i \(0.958288\pi\)
\(102\) −1.50437 + 2.60564i −0.148955 + 0.257997i
\(103\) 3.75144i 0.369640i −0.982772 0.184820i \(-0.940830\pi\)
0.982772 0.184820i \(-0.0591702\pi\)
\(104\) −3.18419 1.69144i −0.312235 0.165859i
\(105\) −8.00157 5.51347i −0.780873 0.538060i
\(106\) −8.17008 4.71700i −0.793549 0.458156i
\(107\) −14.3904 8.30831i −1.39117 0.803194i −0.397728 0.917503i \(-0.630201\pi\)
−0.993445 + 0.114309i \(0.963535\pi\)
\(108\) 0.866025 0.500000i 0.0833333 0.0481125i
\(109\) 11.1116i 1.06430i −0.846652 0.532148i \(-0.821385\pi\)
0.846652 0.532148i \(-0.178615\pi\)
\(110\) 0.419677 5.25194i 0.0400146 0.500753i
\(111\) −6.48073 + 3.74165i −0.615123 + 0.355142i
\(112\) −4.34565 −0.410625
\(113\) 13.5620 7.83002i 1.27581 0.736587i 0.299731 0.954024i \(-0.403103\pi\)
0.976074 + 0.217437i \(0.0697697\pi\)
\(114\) 0.338254 0.585872i 0.0316804 0.0548720i
\(115\) −13.0209 + 6.19148i −1.21420 + 0.577358i
\(116\) −9.65239 −0.896202
\(117\) 0.127265 + 3.60330i 0.0117657 + 0.333126i
\(118\) 5.26964i 0.485109i
\(119\) −11.3232 6.53747i −1.03800 0.599288i
\(120\) 2.01940 0.960230i 0.184345 0.0876566i
\(121\) −2.72410 4.71827i −0.247645 0.428934i
\(122\) 4.31292 0.390473
\(123\) −1.50437 2.60564i −0.135644 0.234943i
\(124\) −6.16171 + 3.55746i −0.553338 + 0.319470i
\(125\) 10.8620 + 2.64911i 0.971523 + 0.236943i
\(126\) 2.17283 + 3.76344i 0.193571 + 0.335274i
\(127\) −11.7820 6.80236i −1.04549 0.603611i −0.124103 0.992269i \(-0.539605\pi\)
−0.921382 + 0.388658i \(0.872939\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) 6.83247 0.601566
\(130\) −0.358130 + 8.05430i −0.0314101 + 0.706409i
\(131\) 10.2122 0.892246 0.446123 0.894972i \(-0.352804\pi\)
0.446123 + 0.894972i \(0.352804\pi\)
\(132\) −1.17811 + 2.04055i −0.102542 + 0.177607i
\(133\) 2.54600 + 1.46993i 0.220766 + 0.127459i
\(134\) −2.91329 5.04596i −0.251670 0.435905i
\(135\) −1.84128 1.26873i −0.158472 0.109195i
\(136\) 2.60564 1.50437i 0.223432 0.128999i
\(137\) 6.20689 + 10.7506i 0.530290 + 0.918489i 0.999375 + 0.0353365i \(0.0112503\pi\)
−0.469085 + 0.883153i \(0.655416\pi\)
\(138\) 6.44791 0.548883
\(139\) −7.80915 13.5258i −0.662363 1.14725i −0.979993 0.199032i \(-0.936220\pi\)
0.317630 0.948215i \(-0.397113\pi\)
\(140\) 4.17283 + 8.77559i 0.352668 + 0.741673i
\(141\) −4.86298 2.80764i −0.409537 0.236446i
\(142\) 2.91585i 0.244693i
\(143\) −4.50479 7.20280i −0.376710 0.602329i
\(144\) −1.00000 −0.0833333
\(145\) 9.26852 + 19.4920i 0.769709 + 1.61872i
\(146\) 3.83902 6.64938i 0.317720 0.550307i
\(147\) −10.2924 + 5.94234i −0.848906 + 0.490116i
\(148\) 7.48330 0.615123
\(149\) 16.9104 9.76324i 1.38536 0.799836i 0.392569 0.919722i \(-0.371586\pi\)
0.992788 + 0.119886i \(0.0382530\pi\)
\(150\) −3.87817 3.15592i −0.316651 0.257679i
\(151\) 11.5027i 0.936079i 0.883707 + 0.468040i \(0.155040\pi\)
−0.883707 + 0.468040i \(0.844960\pi\)
\(152\) −0.585872 + 0.338254i −0.0475205 + 0.0274360i
\(153\) −2.60564 1.50437i −0.210654 0.121621i
\(154\) −8.86753 5.11967i −0.714566 0.412555i
\(155\) 13.1006 + 9.02694i 1.05226 + 0.725061i
\(156\) 1.69144 3.18419i 0.135423 0.254939i
\(157\) 4.47595i 0.357220i −0.983920 0.178610i \(-0.942840\pi\)
0.983920 0.178610i \(-0.0571600\pi\)
\(158\) −1.87260 + 3.24343i −0.148976 + 0.258033i
\(159\) 4.71700 8.17008i 0.374082 0.647930i
\(160\) −2.22896 0.178114i −0.176215 0.0140811i
\(161\) 28.0204i 2.20831i
\(162\) 0.500000 + 0.866025i 0.0392837 + 0.0680414i
\(163\) −3.87774 6.71645i −0.303728 0.526073i 0.673249 0.739416i \(-0.264898\pi\)
−0.976977 + 0.213343i \(0.931565\pi\)
\(164\) 3.00874i 0.234943i
\(165\) 5.25194 + 0.419677i 0.408863 + 0.0326718i
\(166\) −5.17783 + 8.96827i −0.401878 + 0.696073i
\(167\) −0.339021 + 0.587202i −0.0262342 + 0.0454390i −0.878844 0.477108i \(-0.841685\pi\)
0.852610 + 0.522547i \(0.175018\pi\)
\(168\) 4.34565i 0.335274i
\(169\) 7.27808 + 10.7717i 0.559852 + 0.828593i
\(170\) −5.53994 3.81729i −0.424894 0.292772i
\(171\) 0.585872 + 0.338254i 0.0448028 + 0.0258669i
\(172\) −5.91710 3.41624i −0.451174 0.260486i
\(173\) −0.625226 + 0.360974i −0.0475350 + 0.0274444i −0.523579 0.851977i \(-0.675404\pi\)
0.476044 + 0.879421i \(0.342070\pi\)
\(174\) 9.65239i 0.731746i
\(175\) 13.7145 16.8532i 1.03672 1.27398i
\(176\) 2.04055 1.17811i 0.153812 0.0888037i
\(177\) −5.26964 −0.396090
\(178\) 4.15208 2.39720i 0.311211 0.179678i
\(179\) 3.18673 5.51958i 0.238187 0.412553i −0.722007 0.691886i \(-0.756780\pi\)
0.960194 + 0.279333i \(0.0901134\pi\)
\(180\) 0.960230 + 2.01940i 0.0715713 + 0.150517i
\(181\) 22.0214 1.63683 0.818417 0.574624i \(-0.194852\pi\)
0.818417 + 0.574624i \(0.194852\pi\)
\(182\) 13.8374 + 7.35040i 1.02569 + 0.544848i
\(183\) 4.31292i 0.318820i
\(184\) −5.58405 3.22396i −0.411662 0.237673i
\(185\) −7.18569 15.1117i −0.528302 1.11104i
\(186\) −3.55746 6.16171i −0.260846 0.451798i
\(187\) 7.08928 0.518419
\(188\) 2.80764 + 4.86298i 0.204768 + 0.354669i
\(189\) −3.76344 + 2.17283i −0.273750 + 0.158050i
\(190\) 1.24564 + 0.858307i 0.0903682 + 0.0622681i
\(191\) −0.293441 0.508255i −0.0212326 0.0367760i 0.855214 0.518275i \(-0.173426\pi\)
−0.876446 + 0.481499i \(0.840092\pi\)
\(192\) 0.866025 + 0.500000i 0.0625000 + 0.0360844i
\(193\) −11.3135 + 19.5955i −0.814363 + 1.41052i 0.0954215 + 0.995437i \(0.469580\pi\)
−0.909784 + 0.415081i \(0.863753\pi\)
\(194\) 16.3413 1.17324
\(195\) −8.05430 0.358130i −0.576780 0.0256462i
\(196\) 11.8847 0.848906
\(197\) 0.823770 1.42681i 0.0586912 0.101656i −0.835187 0.549966i \(-0.814641\pi\)
0.893878 + 0.448310i \(0.147974\pi\)
\(198\) −2.04055 1.17811i −0.145016 0.0837249i
\(199\) −5.13665 8.89694i −0.364127 0.630687i 0.624508 0.781018i \(-0.285299\pi\)
−0.988636 + 0.150331i \(0.951966\pi\)
\(200\) 1.78064 + 4.67219i 0.125910 + 0.330374i
\(201\) 5.04596 2.91329i 0.355915 0.205488i
\(202\) 6.11911 + 10.5986i 0.430539 + 0.745716i
\(203\) 41.9459 2.94403
\(204\) 1.50437 + 2.60564i 0.105327 + 0.182432i
\(205\) 6.07583 2.88908i 0.424355 0.201782i
\(206\) −3.24884 1.87572i −0.226357 0.130688i
\(207\) 6.44791i 0.448161i
\(208\) −3.05692 + 1.91187i −0.211959 + 0.132564i
\(209\) −1.59401 −0.110260
\(210\) −8.77559 + 4.17283i −0.605573 + 0.287952i
\(211\) 12.1905 21.1145i 0.839226 1.45358i −0.0513166 0.998682i \(-0.516342\pi\)
0.890543 0.454900i \(-0.150325\pi\)
\(212\) −8.17008 + 4.71700i −0.561124 + 0.323965i
\(213\) 2.91585 0.199791
\(214\) −14.3904 + 8.30831i −0.983708 + 0.567944i
\(215\) −1.21696 + 15.2293i −0.0829959 + 1.03863i
\(216\) 1.00000i 0.0680414i
\(217\) 26.7766 15.4595i 1.81772 1.04946i
\(218\) −9.62290 5.55578i −0.651745 0.376285i
\(219\) 6.64938 + 3.83902i 0.449323 + 0.259417i
\(220\) −4.33848 2.98942i −0.292500 0.201547i
\(221\) −10.8414 + 0.382907i −0.729272 + 0.0257571i
\(222\) 7.48330i 0.502246i
\(223\) −2.31792 + 4.01476i −0.155220 + 0.268848i −0.933139 0.359516i \(-0.882942\pi\)
0.777919 + 0.628364i \(0.216275\pi\)
\(224\) −2.17283 + 3.76344i −0.145178 + 0.251456i
\(225\) 3.15592 3.87817i 0.210394 0.258545i
\(226\) 15.6600i 1.04169i
\(227\) 8.89213 + 15.4016i 0.590192 + 1.02224i 0.994206 + 0.107489i \(0.0342812\pi\)
−0.404015 + 0.914753i \(0.632385\pi\)
\(228\) −0.338254 0.585872i −0.0224014 0.0388004i
\(229\) 15.3361i 1.01344i −0.862111 0.506720i \(-0.830858\pi\)
0.862111 0.506720i \(-0.169142\pi\)
\(230\) −1.14846 + 14.3722i −0.0757274 + 0.947672i
\(231\) 5.11967 8.86753i 0.336850 0.583441i
\(232\) −4.82620 + 8.35922i −0.316855 + 0.548809i
\(233\) 7.75548i 0.508079i 0.967194 + 0.254039i \(0.0817593\pi\)
−0.967194 + 0.254039i \(0.918241\pi\)
\(234\) 3.18419 + 1.69144i 0.208157 + 0.110573i
\(235\) 7.12430 10.3393i 0.464738 0.674463i
\(236\) 4.56364 + 2.63482i 0.297068 + 0.171512i
\(237\) −3.24343 1.87260i −0.210683 0.121638i
\(238\) −11.3232 + 6.53747i −0.733975 + 0.423761i
\(239\) 18.6409i 1.20578i 0.797824 + 0.602890i \(0.205984\pi\)
−0.797824 + 0.602890i \(0.794016\pi\)
\(240\) 0.178114 2.22896i 0.0114972 0.143879i
\(241\) −2.65884 + 1.53508i −0.171271 + 0.0988833i −0.583185 0.812339i \(-0.698194\pi\)
0.411914 + 0.911223i \(0.364860\pi\)
\(242\) −5.44819 −0.350223
\(243\) −0.866025 + 0.500000i −0.0555556 + 0.0320750i
\(244\) 2.15646 3.73509i 0.138053 0.239115i
\(245\) −11.4120 23.9999i −0.729088 1.53330i
\(246\) −3.00874 −0.191830
\(247\) 2.43766 0.0860957i 0.155105 0.00547814i
\(248\) 7.11493i 0.451798i
\(249\) −8.96827 5.17783i −0.568341 0.328132i
\(250\) 7.72518 8.08218i 0.488583 0.511162i
\(251\) −3.56404 6.17309i −0.224960 0.389642i 0.731347 0.682005i \(-0.238892\pi\)
−0.956307 + 0.292363i \(0.905558\pi\)
\(252\) 4.34565 0.273750
\(253\) −7.59637 13.1573i −0.477580 0.827193i
\(254\) −11.7820 + 6.80236i −0.739270 + 0.426818i
\(255\) 3.81729 5.53994i 0.239048 0.346924i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −12.3353 7.12178i −0.769454 0.444244i 0.0632261 0.997999i \(-0.479861\pi\)
−0.832680 + 0.553755i \(0.813194\pi\)
\(258\) 3.41624 5.91710i 0.212686 0.368382i
\(259\) −32.5198 −2.02068
\(260\) 6.79616 + 4.33730i 0.421480 + 0.268988i
\(261\) 9.65239 0.597468
\(262\) 5.10611 8.84404i 0.315457 0.546387i
\(263\) −13.3385 7.70101i −0.822490 0.474865i 0.0287845 0.999586i \(-0.490836\pi\)
−0.851274 + 0.524721i \(0.824170\pi\)
\(264\) 1.17811 + 2.04055i 0.0725079 + 0.125587i
\(265\) 17.3707 + 11.9692i 1.06707 + 0.735264i
\(266\) 2.54600 1.46993i 0.156105 0.0901273i
\(267\) 2.39720 + 4.15208i 0.146706 + 0.254103i
\(268\) −5.82658 −0.355915
\(269\) 13.3134 + 23.0595i 0.811732 + 1.40596i 0.911651 + 0.410966i \(0.134808\pi\)
−0.0999185 + 0.994996i \(0.531858\pi\)
\(270\) −2.01940 + 0.960230i −0.122896 + 0.0584378i
\(271\) −6.66899 3.85034i −0.405112 0.233892i 0.283575 0.958950i \(-0.408479\pi\)
−0.688687 + 0.725058i \(0.741813\pi\)
\(272\) 3.00874i 0.182432i
\(273\) −7.35040 + 13.8374i −0.444866 + 0.837475i
\(274\) 12.4138 0.749943
\(275\) −1.87089 + 11.6316i −0.112819 + 0.701414i
\(276\) 3.22396 5.58405i 0.194059 0.336121i
\(277\) −12.3861 + 7.15114i −0.744211 + 0.429671i −0.823599 0.567173i \(-0.808037\pi\)
0.0793871 + 0.996844i \(0.474704\pi\)
\(278\) −15.6183 −0.936723
\(279\) 6.16171 3.55746i 0.368892 0.212980i
\(280\) 9.68629 + 0.774021i 0.578867 + 0.0462566i
\(281\) 7.96746i 0.475299i 0.971351 + 0.237649i \(0.0763769\pi\)
−0.971351 + 0.237649i \(0.923623\pi\)
\(282\) −4.86298 + 2.80764i −0.289586 + 0.167193i
\(283\) 12.7095 + 7.33785i 0.755503 + 0.436190i 0.827679 0.561202i \(-0.189661\pi\)
−0.0721756 + 0.997392i \(0.522994\pi\)
\(284\) −2.52520 1.45793i −0.149843 0.0865120i
\(285\) −0.858307 + 1.24564i −0.0508417 + 0.0737854i
\(286\) −8.49021 + 0.299865i −0.502036 + 0.0177314i
\(287\) 13.0749i 0.771789i
\(288\) −0.500000 + 0.866025i −0.0294628 + 0.0510310i
\(289\) −3.97374 + 6.88273i −0.233750 + 0.404866i
\(290\) 21.5148 + 1.71923i 1.26339 + 0.100956i
\(291\) 16.3413i 0.957945i
\(292\) −3.83902 6.64938i −0.224662 0.389125i
\(293\) 3.43198 + 5.94436i 0.200498 + 0.347273i 0.948689 0.316210i \(-0.102411\pi\)
−0.748191 + 0.663484i \(0.769077\pi\)
\(294\) 11.8847i 0.693129i
\(295\) 0.938596 11.7458i 0.0546472 0.683868i
\(296\) 3.74165 6.48073i 0.217479 0.376685i
\(297\) 1.17811 2.04055i 0.0683611 0.118405i
\(298\) 19.5265i 1.13114i
\(299\) 12.3275 + 19.7108i 0.712921 + 1.13990i
\(300\) −4.67219 + 1.78064i −0.269749 + 0.102805i
\(301\) 25.7136 + 14.8458i 1.48211 + 0.855696i
\(302\) 9.96166 + 5.75137i 0.573229 + 0.330954i
\(303\) −10.5986 + 6.11911i −0.608875 + 0.351534i
\(304\) 0.676507i 0.0388004i
\(305\) −9.61333 0.768190i −0.550458 0.0439865i
\(306\) −2.60564 + 1.50437i −0.148955 + 0.0859991i
\(307\) −10.9917 −0.627328 −0.313664 0.949534i \(-0.601557\pi\)
−0.313664 + 0.949534i \(0.601557\pi\)
\(308\) −8.86753 + 5.11967i −0.505275 + 0.291720i
\(309\) 1.87572 3.24884i 0.106706 0.184820i
\(310\) 14.3678 6.83197i 0.816039 0.388030i
\(311\) −13.9044 −0.788446 −0.394223 0.919015i \(-0.628986\pi\)
−0.394223 + 0.919015i \(0.628986\pi\)
\(312\) −1.91187 3.05692i −0.108238 0.173064i
\(313\) 14.1734i 0.801130i 0.916268 + 0.400565i \(0.131186\pi\)
−0.916268 + 0.400565i \(0.868814\pi\)
\(314\) −3.87629 2.23798i −0.218752 0.126296i
\(315\) −4.17283 8.77559i −0.235112 0.494448i
\(316\) 1.87260 + 3.24343i 0.105342 + 0.182457i
\(317\) 3.20808 0.180184 0.0900920 0.995933i \(-0.471284\pi\)
0.0900920 + 0.995933i \(0.471284\pi\)
\(318\) −4.71700 8.17008i −0.264516 0.458156i
\(319\) −19.6962 + 11.3716i −1.10278 + 0.636688i
\(320\) −1.26873 + 1.84128i −0.0709243 + 0.102931i
\(321\) −8.30831 14.3904i −0.463724 0.803194i
\(322\) 24.2664 + 14.0102i 1.35231 + 0.780757i
\(323\) −1.01772 + 1.76274i −0.0566273 + 0.0980813i
\(324\) 1.00000 0.0555556
\(325\) 2.23284 17.8889i 0.123856 0.992300i
\(326\) −7.75548 −0.429537
\(327\) 5.55578 9.62290i 0.307236 0.532148i
\(328\) 2.60564 + 1.50437i 0.143873 + 0.0830649i
\(329\) −12.2010 21.1328i −0.672665 1.16509i
\(330\) 2.98942 4.33848i 0.164562 0.238825i
\(331\) −22.3066 + 12.8787i −1.22608 + 0.707878i −0.966208 0.257765i \(-0.917014\pi\)
−0.259873 + 0.965643i \(0.583681\pi\)
\(332\) 5.17783 + 8.96827i 0.284170 + 0.492198i
\(333\) −7.48330 −0.410082
\(334\) 0.339021 + 0.587202i 0.0185504 + 0.0321302i
\(335\) 5.59485 + 11.7662i 0.305680 + 0.642854i
\(336\) −3.76344 2.17283i −0.205313 0.118537i
\(337\) 0.772078i 0.0420578i 0.999779 + 0.0210289i \(0.00669420\pi\)
−0.999779 + 0.0210289i \(0.993306\pi\)
\(338\) 12.9676 0.917149i 0.705345 0.0498863i
\(339\) 15.6600 0.850537
\(340\) −6.07583 + 2.88908i −0.329508 + 0.156682i
\(341\) −8.38219 + 14.5184i −0.453921 + 0.786215i
\(342\) 0.585872 0.338254i 0.0316804 0.0182907i
\(343\) −21.2271 −1.14616
\(344\) −5.91710 + 3.41624i −0.319028 + 0.184191i
\(345\) −14.3722 1.14846i −0.773771 0.0618312i
\(346\) 0.721948i 0.0388122i
\(347\) −21.7856 + 12.5779i −1.16951 + 0.675218i −0.953565 0.301188i \(-0.902617\pi\)
−0.215946 + 0.976405i \(0.569284\pi\)
\(348\) −8.35922 4.82620i −0.448101 0.258711i
\(349\) −23.6602 13.6602i −1.26650 0.731214i −0.292176 0.956365i \(-0.594379\pi\)
−0.974324 + 0.225151i \(0.927713\pi\)
\(350\) −7.73802 20.3037i −0.413614 1.08528i
\(351\) −1.69144 + 3.18419i −0.0902823 + 0.169959i
\(352\) 2.35623i 0.125587i
\(353\) −3.75948 + 6.51161i −0.200097 + 0.346578i −0.948559 0.316599i \(-0.897459\pi\)
0.748462 + 0.663177i \(0.230792\pi\)
\(354\) −2.63482 + 4.56364i −0.140039 + 0.242555i
\(355\) −0.519354 + 6.49932i −0.0275644 + 0.344948i
\(356\) 4.79440i 0.254103i
\(357\) −6.53747 11.3232i −0.345999 0.599288i
\(358\) −3.18673 5.51958i −0.168424 0.291719i
\(359\) 10.8402i 0.572124i −0.958211 0.286062i \(-0.907654\pi\)
0.958211 0.286062i \(-0.0923463\pi\)
\(360\) 2.22896 + 0.178114i 0.117477 + 0.00938743i
\(361\) −9.27117 + 16.0581i −0.487956 + 0.845165i
\(362\) 11.0107 19.0711i 0.578708 1.00235i
\(363\) 5.44819i 0.285956i
\(364\) 13.2843 8.30831i 0.696287 0.435474i
\(365\) −9.74138 + 14.1374i −0.509887 + 0.739987i
\(366\) 3.73509 + 2.15646i 0.195237 + 0.112720i
\(367\) −6.50838 3.75761i −0.339735 0.196146i 0.320420 0.947276i \(-0.396176\pi\)
−0.660155 + 0.751130i \(0.729509\pi\)
\(368\) −5.58405 + 3.22396i −0.291089 + 0.168060i
\(369\) 3.00874i 0.156629i
\(370\) −16.6800 1.33288i −0.867151 0.0692931i
\(371\) 35.5043 20.4984i 1.84329 1.06423i
\(372\) −7.11493 −0.368892
\(373\) −19.8135 + 11.4393i −1.02590 + 0.592305i −0.915808 0.401616i \(-0.868449\pi\)
−0.110095 + 0.993921i \(0.535115\pi\)
\(374\) 3.54464 6.13949i 0.183289 0.317466i
\(375\) 8.08218 + 7.72518i 0.417362 + 0.398926i
\(376\) 5.61529 0.289586
\(377\) 29.5066 18.4541i 1.51967 0.950434i
\(378\) 4.34565i 0.223516i
\(379\) −22.6152 13.0569i −1.16166 0.670687i −0.209962 0.977710i \(-0.567334\pi\)
−0.951702 + 0.307022i \(0.900667\pi\)
\(380\) 1.36614 0.649603i 0.0700813 0.0333239i
\(381\) −6.80236 11.7820i −0.348495 0.603611i
\(382\) −0.586882 −0.0300275
\(383\) −6.84652 11.8585i −0.349841 0.605942i 0.636380 0.771376i \(-0.280431\pi\)
−0.986221 + 0.165434i \(0.947098\pi\)
\(384\) 0.866025 0.500000i 0.0441942 0.0255155i
\(385\) 18.8535 + 12.9910i 0.960864 + 0.662082i
\(386\) 11.3135 + 19.5955i 0.575842 + 0.997387i
\(387\) 5.91710 + 3.41624i 0.300783 + 0.173657i
\(388\) 8.17066 14.1520i 0.414802 0.718459i
\(389\) 24.9403 1.26452 0.632261 0.774755i \(-0.282127\pi\)
0.632261 + 0.774755i \(0.282127\pi\)
\(390\) −4.33730 + 6.79616i −0.219628 + 0.344137i
\(391\) −19.4001 −0.981104
\(392\) 5.94234 10.2924i 0.300134 0.519847i
\(393\) 8.84404 + 5.10611i 0.446123 + 0.257569i
\(394\) −0.823770 1.42681i −0.0415009 0.0718817i
\(395\) 4.75165 6.89595i 0.239081 0.346973i
\(396\) −2.04055 + 1.17811i −0.102542 + 0.0592025i
\(397\) −14.5517 25.2043i −0.730328 1.26497i −0.956743 0.290934i \(-0.906034\pi\)
0.226415 0.974031i \(-0.427300\pi\)
\(398\) −10.2733 −0.514954
\(399\) 1.46993 + 2.54600i 0.0735887 + 0.127459i
\(400\) 4.93655 + 0.794019i 0.246828 + 0.0397009i
\(401\) −14.4596 8.34823i −0.722076 0.416891i 0.0934404 0.995625i \(-0.470214\pi\)
−0.815516 + 0.578734i \(0.803547\pi\)
\(402\) 5.82658i 0.290603i
\(403\) 12.0345 22.6552i 0.599479 1.12854i
\(404\) 12.2382 0.608875
\(405\) −0.960230 2.01940i −0.0477142 0.100345i
\(406\) 20.9730 36.3262i 1.04087 1.80284i
\(407\) 15.2701 8.81618i 0.756909 0.437002i
\(408\) 3.00874 0.148955
\(409\) 21.3140 12.3056i 1.05391 0.608475i 0.130168 0.991492i \(-0.458448\pi\)
0.923741 + 0.383017i \(0.125115\pi\)
\(410\) 0.535898 6.70637i 0.0264661 0.331204i
\(411\) 12.4138i 0.612326i
\(412\) −3.24884 + 1.87572i −0.160059 + 0.0924100i
\(413\) −19.8320 11.4500i −0.975868 0.563418i
\(414\) 5.58405 + 3.22396i 0.274441 + 0.158449i
\(415\) 13.1386 19.0677i 0.644947 0.935996i
\(416\) 0.127265 + 3.60330i 0.00623968 + 0.176667i
\(417\) 15.6183i 0.764831i
\(418\) −0.797003 + 1.38045i −0.0389827 + 0.0675200i
\(419\) −13.5527 + 23.4739i −0.662091 + 1.14678i 0.317974 + 0.948099i \(0.396998\pi\)
−0.980065 + 0.198676i \(0.936336\pi\)
\(420\) −0.774021 + 9.68629i −0.0377684 + 0.472643i
\(421\) 32.9996i 1.60830i −0.594425 0.804151i \(-0.702620\pi\)
0.594425 0.804151i \(-0.297380\pi\)
\(422\) −12.1905 21.1145i −0.593422 1.02784i
\(423\) −2.80764 4.86298i −0.136512 0.236446i
\(424\) 9.43400i 0.458156i
\(425\) 11.6684 + 9.49533i 0.566000 + 0.460591i
\(426\) 1.45793 2.52520i 0.0706367 0.122346i
\(427\) −9.37121 + 16.2314i −0.453505 + 0.785493i
\(428\) 16.6166i 0.803194i
\(429\) −0.299865 8.49021i −0.0144776 0.409911i
\(430\) 12.5805 + 8.66858i 0.606686 + 0.418036i
\(431\) 7.45678 + 4.30517i 0.359180 + 0.207373i 0.668721 0.743513i \(-0.266842\pi\)
−0.309541 + 0.950886i \(0.600175\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 2.99201 1.72744i 0.143787 0.0830155i −0.426381 0.904544i \(-0.640212\pi\)
0.570168 + 0.821528i \(0.306878\pi\)
\(434\) 30.9190i 1.48416i
\(435\) −1.71923 + 21.5148i −0.0824305 + 1.03156i
\(436\) −9.62290 + 5.55578i −0.460853 + 0.266074i
\(437\) 4.36206 0.208666
\(438\) 6.64938 3.83902i 0.317720 0.183436i
\(439\) −12.1229 + 20.9974i −0.578593 + 1.00215i 0.417049 + 0.908884i \(0.363064\pi\)
−0.995641 + 0.0932675i \(0.970269\pi\)
\(440\) −4.75816 + 2.26252i −0.226836 + 0.107861i
\(441\) −11.8847 −0.565937
\(442\) −5.08909 + 9.58038i −0.242064 + 0.455692i
\(443\) 13.1629i 0.625390i 0.949854 + 0.312695i \(0.101232\pi\)
−0.949854 + 0.312695i \(0.898768\pi\)
\(444\) 6.48073 + 3.74165i 0.307562 + 0.177571i
\(445\) −9.68180 + 4.60373i −0.458961 + 0.218238i
\(446\) 2.31792 + 4.01476i 0.109757 + 0.190104i
\(447\) 19.5265 0.923571
\(448\) 2.17283 + 3.76344i 0.102656 + 0.177806i
\(449\) 2.17774 1.25732i 0.102774 0.0593365i −0.447732 0.894168i \(-0.647768\pi\)
0.550506 + 0.834831i \(0.314435\pi\)
\(450\) −1.78064 4.67219i −0.0839399 0.220249i
\(451\) 3.54464 + 6.13949i 0.166910 + 0.289097i
\(452\) −13.5620 7.83002i −0.637903 0.368293i
\(453\) −5.75137 + 9.96166i −0.270223 + 0.468040i
\(454\) 17.7843 0.834657
\(455\) −29.5338 18.8484i −1.38456 0.883626i
\(456\) −0.676507 −0.0316804
\(457\) −5.38493 + 9.32698i −0.251897 + 0.436298i −0.964048 0.265728i \(-0.914388\pi\)
0.712151 + 0.702026i \(0.247721\pi\)
\(458\) −13.2815 7.66806i −0.620602 0.358305i
\(459\) −1.50437 2.60564i −0.0702180 0.121621i
\(460\) 11.8724 + 8.18068i 0.553554 + 0.381426i
\(461\) 10.2984 5.94576i 0.479642 0.276922i −0.240625 0.970618i \(-0.577352\pi\)
0.720267 + 0.693697i \(0.244019\pi\)
\(462\) −5.11967 8.86753i −0.238189 0.412555i
\(463\) −29.9462 −1.39172 −0.695860 0.718178i \(-0.744976\pi\)
−0.695860 + 0.718178i \(0.744976\pi\)
\(464\) 4.82620 + 8.35922i 0.224051 + 0.388067i
\(465\) 6.83197 + 14.3678i 0.316825 + 0.666293i
\(466\) 6.71645 + 3.87774i 0.311133 + 0.179633i
\(467\) 21.8940i 1.01313i 0.862201 + 0.506566i \(0.169085\pi\)
−0.862201 + 0.506566i \(0.830915\pi\)
\(468\) 3.05692 1.91187i 0.141306 0.0883761i
\(469\) 25.3203 1.16918
\(470\) −5.39197 11.3395i −0.248713 0.523051i
\(471\) 2.23798 3.87629i 0.103121 0.178610i
\(472\) 4.56364 2.63482i 0.210059 0.121277i
\(473\) −16.0989 −0.740227
\(474\) −3.24343 + 1.87260i −0.148976 + 0.0860112i
\(475\) −2.62361 2.13500i −0.120379 0.0979605i
\(476\) 13.0749i 0.599288i
\(477\) 8.17008 4.71700i 0.374082 0.215977i
\(478\) 16.1435 + 9.32045i 0.738386 + 0.426307i
\(479\) −7.90106 4.56168i −0.361009 0.208429i 0.308514 0.951220i \(-0.400168\pi\)
−0.669523 + 0.742791i \(0.733502\pi\)
\(480\) −1.84128 1.26873i −0.0840426 0.0579095i
\(481\) −22.8758 + 14.3071i −1.04305 + 0.652346i
\(482\) 3.07016i 0.139842i
\(483\) −14.0102 + 24.2664i −0.637486 + 1.10416i
\(484\) −2.72410 + 4.71827i −0.123823 + 0.214467i
\(485\) −36.4242 2.91062i −1.65394 0.132164i
\(486\) 1.00000i 0.0453609i
\(487\) 10.8587 + 18.8079i 0.492056 + 0.852265i 0.999958 0.00914916i \(-0.00291231\pi\)
−0.507902 + 0.861415i \(0.669579\pi\)
\(488\) −2.15646 3.73509i −0.0976183 0.169080i
\(489\) 7.75548i 0.350715i
\(490\) −26.4905 2.11683i −1.19672 0.0956285i
\(491\) 16.5438 28.6548i 0.746613 1.29317i −0.202824 0.979215i \(-0.565012\pi\)
0.949437 0.313957i \(-0.101655\pi\)
\(492\) −1.50437 + 2.60564i −0.0678222 + 0.117472i
\(493\) 29.0415i 1.30796i
\(494\) 1.14427 2.15412i 0.0514831 0.0969187i
\(495\) 4.33848 + 2.98942i 0.195000 + 0.134365i
\(496\) 6.16171 + 3.55746i 0.276669 + 0.159735i
\(497\) 10.9736 + 6.33564i 0.492235 + 0.284192i
\(498\) −8.96827 + 5.17783i −0.401878 + 0.232024i
\(499\) 10.4889i 0.469546i 0.972050 + 0.234773i \(0.0754347\pi\)
−0.972050 + 0.234773i \(0.924565\pi\)
\(500\) −3.13679 10.7313i −0.140281 0.479918i
\(501\) −0.587202 + 0.339021i −0.0262342 + 0.0151463i
\(502\) −7.12807 −0.318142
\(503\) −7.14818 + 4.12700i −0.318722 + 0.184014i −0.650823 0.759230i \(-0.725576\pi\)
0.332101 + 0.943244i \(0.392243\pi\)
\(504\) 2.17283 3.76344i 0.0967853 0.167637i
\(505\) −11.7515 24.7138i −0.522936 1.09975i
\(506\) −15.1927 −0.675400
\(507\) 0.917149 + 12.9676i 0.0407320 + 0.575912i
\(508\) 13.6047i 0.603611i
\(509\) 5.84526 + 3.37476i 0.259087 + 0.149584i 0.623918 0.781490i \(-0.285540\pi\)
−0.364831 + 0.931074i \(0.618873\pi\)
\(510\) −2.88908 6.07583i −0.127931 0.269042i
\(511\) 16.6830 + 28.8959i 0.738014 + 1.27828i
\(512\) −1.00000 −0.0441942
\(513\) 0.338254 + 0.585872i 0.0149343 + 0.0258669i
\(514\) −12.3353 + 7.12178i −0.544086 + 0.314128i
\(515\) 6.90745 + 4.75957i 0.304379 + 0.209732i
\(516\) −3.41624 5.91710i −0.150391 0.260486i
\(517\) 11.4583 + 6.61545i 0.503935 + 0.290947i
\(518\) −16.2599 + 28.1630i −0.714419 + 1.23741i
\(519\) −0.721948 −0.0316900
\(520\) 7.15429 3.71700i 0.313737 0.163001i
\(521\) −30.4048 −1.33206 −0.666029 0.745926i \(-0.732007\pi\)
−0.666029 + 0.745926i \(0.732007\pi\)
\(522\) 4.82620 8.35922i 0.211237 0.365873i
\(523\) −2.72235 1.57175i −0.119040 0.0687279i 0.439298 0.898342i \(-0.355227\pi\)
−0.558338 + 0.829614i \(0.688561\pi\)
\(524\) −5.10611 8.84404i −0.223062 0.386354i
\(525\) 20.3037 7.73802i 0.886126 0.337715i
\(526\) −13.3385 + 7.70101i −0.581588 + 0.335780i
\(527\) 10.7035 + 18.5390i 0.466251 + 0.807570i
\(528\) 2.35623 0.102542
\(529\) 9.28778 + 16.0869i 0.403816 + 0.699431i
\(530\) 19.0510 9.05881i 0.827522 0.393490i
\(531\) −4.56364 2.63482i −0.198045 0.114341i
\(532\) 2.93986i 0.127459i
\(533\) −5.75231 9.19748i −0.249160 0.398387i
\(534\) 4.79440 0.207474
\(535\) 33.5555 15.9558i 1.45073 0.689828i
\(536\) −2.91329 + 5.04596i −0.125835 + 0.217952i
\(537\) 5.51958 3.18673i 0.238187 0.137518i
\(538\) 26.6268 1.14796
\(539\) 24.2513 14.0015i 1.04458 0.603088i
\(540\) −0.178114 + 2.22896i −0.00766480 + 0.0959193i
\(541\) 17.6144i 0.757301i −0.925540 0.378650i \(-0.876388\pi\)
0.925540 0.378650i \(-0.123612\pi\)
\(542\) −6.66899 + 3.85034i −0.286458 + 0.165386i
\(543\) 19.0711 + 11.0107i 0.818417 + 0.472513i
\(544\) −2.60564 1.50437i −0.111716 0.0644993i
\(545\) 20.4595 + 14.0976i 0.876390 + 0.603875i
\(546\) 8.30831 + 13.2843i 0.355563 + 0.568516i
\(547\) 40.8067i 1.74477i −0.488820 0.872385i \(-0.662572\pi\)
0.488820 0.872385i \(-0.337428\pi\)
\(548\) 6.20689 10.7506i 0.265145 0.459245i
\(549\) −2.15646 + 3.73509i −0.0920354 + 0.159410i
\(550\) 9.13785 + 7.43606i 0.389639 + 0.317075i
\(551\) 6.52991i 0.278184i
\(552\) −3.22396 5.58405i −0.137221 0.237673i
\(553\) −8.13765 14.0948i −0.346048 0.599373i
\(554\) 14.3023i 0.607646i
\(555\) 1.33288 16.6800i 0.0565776 0.708026i
\(556\) −7.80915 + 13.5258i −0.331182 + 0.573623i
\(557\) −12.6109 + 21.8427i −0.534340 + 0.925504i 0.464855 + 0.885387i \(0.346106\pi\)
−0.999195 + 0.0401170i \(0.987227\pi\)
\(558\) 7.11493i 0.301199i
\(559\) 24.6195 0.869535i 1.04129 0.0367774i
\(560\) 5.51347 8.00157i 0.232987 0.338128i
\(561\) 6.13949 + 3.54464i 0.259210 + 0.149655i
\(562\) 6.90002 + 3.98373i 0.291060 + 0.168043i
\(563\) 31.5356 18.2071i 1.32907 0.767337i 0.343912 0.939002i \(-0.388248\pi\)
0.985155 + 0.171664i \(0.0549145\pi\)
\(564\) 5.61529i 0.236446i
\(565\) −2.78927 + 34.9057i −0.117346 + 1.46849i
\(566\) 12.7095 7.33785i 0.534222 0.308433i
\(567\) −4.34565 −0.182500
\(568\) −2.52520 + 1.45793i −0.105955 + 0.0611732i
\(569\) −13.6768 + 23.6888i −0.573360 + 0.993088i 0.422858 + 0.906196i \(0.361027\pi\)
−0.996218 + 0.0868922i \(0.972306\pi\)
\(570\) 0.649603 + 1.36614i 0.0272089 + 0.0572211i
\(571\) 45.7020 1.91257 0.956285 0.292438i \(-0.0944664\pi\)
0.956285 + 0.292438i \(0.0944664\pi\)
\(572\) −3.98541 + 7.50267i −0.166638 + 0.313702i
\(573\) 0.586882i 0.0245174i
\(574\) −11.3232 6.53747i −0.472622 0.272869i
\(575\) 5.11976 31.8304i 0.213509 1.32742i
\(576\) 0.500000 + 0.866025i 0.0208333 + 0.0360844i
\(577\) −31.1697 −1.29761 −0.648806 0.760954i \(-0.724731\pi\)
−0.648806 + 0.760954i \(0.724731\pi\)
\(578\) 3.97374 + 6.88273i 0.165286 + 0.286284i
\(579\) −19.5955 + 11.3135i −0.814363 + 0.470173i
\(580\) 12.2463 17.7728i 0.508500 0.737974i
\(581\) −22.5011 38.9730i −0.933501 1.61687i
\(582\) 14.1520 + 8.17066i 0.586619 + 0.338685i
\(583\) −11.1143 + 19.2506i −0.460308 + 0.797278i
\(584\) −7.67804 −0.317720
\(585\) −6.79616 4.33730i −0.280987 0.179325i
\(586\) 6.86396 0.283547
\(587\) −7.61411 + 13.1880i −0.314268 + 0.544328i −0.979282 0.202503i \(-0.935092\pi\)
0.665014 + 0.746831i \(0.268426\pi\)
\(588\) 10.2924 + 5.94234i 0.424453 + 0.245058i
\(589\) −2.40665 4.16844i −0.0991643 0.171758i
\(590\) −9.70288 6.68576i −0.399461 0.275248i
\(591\) 1.42681 0.823770i 0.0586912 0.0338854i
\(592\) −3.74165 6.48073i −0.153781 0.266356i
\(593\) 15.1921 0.623865 0.311933 0.950104i \(-0.399024\pi\)
0.311933 + 0.950104i \(0.399024\pi\)
\(594\) −1.17811 2.04055i −0.0483386 0.0837249i
\(595\) 26.4035 12.5549i 1.08244 0.514703i
\(596\) −16.9104 9.76324i −0.692678 0.399918i
\(597\) 10.2733i 0.420458i
\(598\) 23.2338 0.820594i 0.950100 0.0335566i
\(599\) 4.34655 0.177595 0.0887975 0.996050i \(-0.471698\pi\)
0.0887975 + 0.996050i \(0.471698\pi\)
\(600\) −0.794019 + 4.93655i −0.0324157 + 0.201534i
\(601\) −5.14622 + 8.91351i −0.209918 + 0.363590i −0.951689 0.307065i \(-0.900653\pi\)
0.741770 + 0.670654i \(0.233987\pi\)
\(602\) 25.7136 14.8458i 1.04801 0.605069i
\(603\) 5.82658 0.237277
\(604\) 9.96166 5.75137i 0.405334 0.234020i
\(605\) 12.1438 + 0.970399i 0.493716 + 0.0394523i
\(606\) 12.2382i 0.497144i
\(607\) 37.6094 21.7138i 1.52652 0.881335i 0.527012 0.849858i \(-0.323312\pi\)
0.999504 0.0314772i \(-0.0100212\pi\)
\(608\) 0.585872 + 0.338254i 0.0237603 + 0.0137180i
\(609\) 36.3262 + 20.9730i 1.47201 + 0.849867i
\(610\) −5.47194 + 7.94129i −0.221552 + 0.321534i
\(611\) −17.8801 9.49791i −0.723352 0.384244i
\(612\) 3.00874i 0.121621i
\(613\) −16.3258 + 28.2771i −0.659392 + 1.14210i 0.321382 + 0.946950i \(0.395853\pi\)
−0.980773 + 0.195150i \(0.937481\pi\)
\(614\) −5.49584 + 9.51907i −0.221794 + 0.384159i
\(615\) 6.70637 + 0.535898i 0.270427 + 0.0216095i
\(616\) 10.2393i 0.412555i
\(617\) 4.83488 + 8.37426i 0.194645 + 0.337135i 0.946784 0.321869i \(-0.104311\pi\)
−0.752139 + 0.659004i \(0.770978\pi\)
\(618\) −1.87572 3.24884i −0.0754525 0.130688i
\(619\) 5.20064i 0.209031i 0.994523 + 0.104516i \(0.0333292\pi\)
−0.994523 + 0.104516i \(0.966671\pi\)
\(620\) 1.26727 15.8589i 0.0508947 0.636909i
\(621\) −3.22396 + 5.58405i −0.129373 + 0.224080i
\(622\) −6.95220 + 12.0416i −0.278758 + 0.482823i
\(623\) 20.8348i 0.834729i
\(624\) −3.60330 + 0.127265i −0.144248 + 0.00509468i
\(625\) −18.6587 + 16.6389i −0.746347 + 0.665557i
\(626\) 12.2746 + 7.08672i 0.490590 + 0.283242i
\(627\) −1.38045 0.797003i −0.0551298 0.0318292i
\(628\) −3.87629 + 2.23798i −0.154681 + 0.0893050i
\(629\) 22.5153i 0.897743i
\(630\) −9.68629 0.774021i −0.385911 0.0308377i
\(631\) −6.86811 + 3.96531i −0.273415 + 0.157856i −0.630439 0.776239i \(-0.717125\pi\)
0.357023 + 0.934095i \(0.383792\pi\)
\(632\) 3.74519 0.148976
\(633\) 21.1145 12.1905i 0.839226 0.484527i
\(634\) 1.60404 2.77828i 0.0637046 0.110340i
\(635\) 27.4733 13.0637i 1.09024 0.518415i
\(636\) −9.43400 −0.374082
\(637\) −36.3305 + 22.7219i −1.43947 + 0.900276i
\(638\) 22.7432i 0.900413i
\(639\) 2.52520 + 1.45793i 0.0998954 + 0.0576746i
\(640\) 0.960230 + 2.01940i 0.0379564 + 0.0798236i
\(641\) −1.69937 2.94340i −0.0671212 0.116257i 0.830512 0.557001i \(-0.188048\pi\)
−0.897633 + 0.440744i \(0.854715\pi\)
\(642\) −16.6166 −0.655805
\(643\) −4.69916 8.13918i −0.185317 0.320978i 0.758367 0.651828i \(-0.225998\pi\)
−0.943683 + 0.330851i \(0.892664\pi\)
\(644\) 24.2664 14.0102i 0.956228 0.552079i
\(645\) −8.66858 + 12.5805i −0.341325 + 0.495357i
\(646\) 1.01772 + 1.76274i 0.0400415 + 0.0693540i
\(647\) 34.6972 + 20.0324i 1.36409 + 0.787555i 0.990165 0.139905i \(-0.0446798\pi\)
0.373921 + 0.927461i \(0.378013\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) 12.4165 0.487389
\(650\) −14.3759 10.8782i −0.563868 0.426677i
\(651\) 30.9190 1.21181
\(652\) −3.87774 + 6.71645i −0.151864 + 0.263036i
\(653\) −27.1900 15.6981i −1.06403 0.614316i −0.137483 0.990504i \(-0.543901\pi\)
−0.926543 + 0.376189i \(0.877234\pi\)
\(654\) −5.55578 9.62290i −0.217248 0.376285i
\(655\) −12.9566 + 18.8036i −0.506255 + 0.734717i
\(656\) 2.60564 1.50437i 0.101733 0.0587358i
\(657\) 3.83902 + 6.64938i 0.149774 + 0.259417i
\(658\) −24.4021 −0.951292
\(659\) 9.48950 + 16.4363i 0.369659 + 0.640268i 0.989512 0.144450i \(-0.0461413\pi\)
−0.619853 + 0.784718i \(0.712808\pi\)
\(660\) −2.26252 4.75816i −0.0880685 0.185211i
\(661\) 11.4484 + 6.60972i 0.445290 + 0.257088i 0.705839 0.708372i \(-0.250570\pi\)
−0.260549 + 0.965461i \(0.583904\pi\)
\(662\) 25.7574i 1.00109i
\(663\) −9.58038 5.08909i −0.372071 0.197644i
\(664\) 10.3557 0.401878
\(665\) −5.93675 + 2.82295i −0.230217 + 0.109469i
\(666\) −3.74165 + 6.48073i −0.144986 + 0.251123i
\(667\) 53.8995 31.1189i 2.08700 1.20493i
\(668\) 0.678042 0.0262342
\(669\) −4.01476 + 2.31792i −0.155220 + 0.0896161i
\(670\) 12.9872 + 1.03779i 0.501740 + 0.0400935i
\(671\) 10.1622i 0.392308i
\(672\) −3.76344 + 2.17283i −0.145178 + 0.0838186i
\(673\) −7.44817 4.30020i −0.287106 0.165761i 0.349530 0.936925i \(-0.386341\pi\)
−0.636636 + 0.771164i \(0.719675\pi\)
\(674\) 0.668639 + 0.386039i 0.0257550 + 0.0148697i
\(675\) 4.67219 1.78064i 0.179833 0.0685367i
\(676\) 5.68953 11.6889i 0.218828 0.449571i
\(677\) 25.8539i 0.993646i −0.867852 0.496823i \(-0.834500\pi\)
0.867852 0.496823i \(-0.165500\pi\)
\(678\) 7.83002 13.5620i 0.300710 0.520845i
\(679\) −35.5068 + 61.4997i −1.36263 + 2.36014i
\(680\) −0.535898 + 6.70637i −0.0205508 + 0.257177i
\(681\) 17.7843i 0.681495i
\(682\) 8.38219 + 14.5184i 0.320971 + 0.555938i
\(683\) −10.4524 18.1041i −0.399950 0.692734i 0.593769 0.804636i \(-0.297639\pi\)
−0.993719 + 0.111901i \(0.964306\pi\)
\(684\) 0.676507i 0.0258669i
\(685\) −27.6698 2.21107i −1.05721 0.0844805i
\(686\) −10.6136 + 18.3832i −0.405228 + 0.701875i
\(687\) 7.66806 13.2815i 0.292555 0.506720i
\(688\) 6.83247i 0.260486i
\(689\) 15.9570 30.0396i 0.607914 1.14442i
\(690\) −8.18068 + 11.8724i −0.311433 + 0.451975i
\(691\) −42.3440 24.4473i −1.61084 0.930019i −0.989176 0.146736i \(-0.953123\pi\)
−0.621665 0.783283i \(-0.713543\pi\)
\(692\) 0.625226 + 0.360974i 0.0237675 + 0.0137222i
\(693\) 8.86753 5.11967i 0.336850 0.194480i
\(694\) 25.1558i 0.954902i
\(695\) 34.8126 + 2.78184i 1.32052 + 0.105521i
\(696\) −8.35922 + 4.82620i −0.316855 + 0.182936i
\(697\) 9.05251 0.342888
\(698\) −23.6602 + 13.6602i −0.895551 + 0.517046i
\(699\) −3.87774 + 6.71645i −0.146670 + 0.254039i
\(700\) −21.4525 3.45053i −0.810829 0.130418i
\(701\) 31.9805 1.20789 0.603944 0.797027i \(-0.293595\pi\)
0.603944 + 0.797027i \(0.293595\pi\)
\(702\) 1.91187 + 3.05692i 0.0721588 + 0.115376i
\(703\) 5.06250i 0.190936i
\(704\) −2.04055 1.17811i −0.0769062 0.0444018i
\(705\) 11.3395 5.39197i 0.427070 0.203073i
\(706\) 3.75948 + 6.51161i 0.141490 + 0.245068i
\(707\) −53.1831 −2.00016
\(708\) 2.63482 + 4.56364i 0.0990225 + 0.171512i
\(709\) −5.42026 + 3.12939i −0.203562 + 0.117527i −0.598316 0.801260i \(-0.704163\pi\)
0.394754 + 0.918787i \(0.370830\pi\)
\(710\) 5.36890 + 3.69944i 0.201491 + 0.138837i
\(711\) −1.87260 3.24343i −0.0702278 0.121638i
\(712\) −4.15208 2.39720i −0.155606 0.0898389i
\(713\) 22.9382 39.7301i 0.859043 1.48791i
\(714\) −13.0749 −0.489317
\(715\) 18.9778 + 0.843835i 0.709728 + 0.0315577i
\(716\) −6.37346 −0.238187
\(717\) −9.32045 + 16.1435i −0.348079 + 0.602890i
\(718\) −9.38789 5.42010i −0.350353 0.202276i
\(719\) −9.52308 16.4945i −0.355151 0.615140i 0.631993 0.774974i \(-0.282237\pi\)
−0.987144 + 0.159835i \(0.948904\pi\)
\(720\) 1.26873 1.84128i 0.0472829 0.0686205i
\(721\) 14.1183 8.15122i 0.525794 0.303567i
\(722\) 9.27117 + 16.0581i 0.345037 + 0.597622i
\(723\) −3.07016 −0.114181
\(724\) −11.0107 19.0711i −0.409209 0.708770i
\(725\) −47.6495 7.66418i −1.76966 0.284640i
\(726\) −4.71827 2.72410i −0.175111 0.101101i
\(727\) 28.2602i 1.04811i 0.851684 + 0.524056i \(0.175582\pi\)
−0.851684 + 0.524056i \(0.824418\pi\)
\(728\) −0.553049 15.6587i −0.0204974 0.580350i
\(729\) −1.00000 −0.0370370
\(730\) 7.37269 + 15.5050i 0.272875 + 0.573866i
\(731\) −10.2786 + 17.8030i −0.380166 + 0.658468i
\(732\) 3.73509 2.15646i 0.138053 0.0797050i
\(733\) 5.28165 0.195082 0.0975410 0.995232i \(-0.468902\pi\)
0.0975410 + 0.995232i \(0.468902\pi\)
\(734\) −6.50838 + 3.75761i −0.240229 + 0.138696i
\(735\) 2.11683 26.4905i 0.0780804 0.977117i
\(736\) 6.44791i 0.237673i
\(737\) −11.8894 + 6.86437i −0.437953 + 0.252852i
\(738\) −2.60564 1.50437i −0.0959151 0.0553766i
\(739\) 34.5736 + 19.9611i 1.27181 + 0.734280i 0.975329 0.220758i \(-0.0708533\pi\)
0.296482 + 0.955038i \(0.404187\pi\)
\(740\) −9.49430 + 13.7789i −0.349018 + 0.506521i
\(741\) 2.15412 + 1.14427i 0.0791337 + 0.0420358i
\(742\) 40.9969i 1.50504i
\(743\) 9.28543 16.0828i 0.340650 0.590022i −0.643904 0.765106i \(-0.722686\pi\)
0.984553 + 0.175084i \(0.0560197\pi\)
\(744\) −3.55746 + 6.16171i −0.130423 + 0.225899i
\(745\) −3.47794 + 43.5238i −0.127422 + 1.59459i
\(746\) 22.8786i 0.837646i
\(747\) −5.17783 8.96827i −0.189447 0.328132i
\(748\) −3.54464 6.13949i −0.129605 0.224482i
\(749\) 72.2100i 2.63850i
\(750\) 10.7313 3.13679i 0.391851 0.114539i
\(751\) 15.1001 26.1541i 0.551010 0.954377i −0.447192 0.894438i \(-0.647576\pi\)
0.998202 0.0599394i \(-0.0190907\pi\)
\(752\) 2.80764 4.86298i 0.102384 0.177335i
\(753\) 7.12807i 0.259761i
\(754\) −1.22841 34.7805i −0.0447361 1.26663i
\(755\) −21.1798 14.5939i −0.770811 0.531126i
\(756\) 3.76344 + 2.17283i 0.136875 + 0.0790249i
\(757\) 4.85341 + 2.80211i 0.176400 + 0.101845i 0.585600 0.810600i \(-0.300859\pi\)
−0.409200 + 0.912445i \(0.634192\pi\)
\(758\) −22.6152 + 13.0569i −0.821421 + 0.474247i
\(759\) 15.1927i 0.551462i
\(760\) 0.120495 1.50791i 0.00437083 0.0546976i
\(761\) −5.77640 + 3.33501i −0.209394 + 0.120894i −0.601030 0.799227i \(-0.705243\pi\)
0.391635 + 0.920120i \(0.371909\pi\)
\(762\) −13.6047 −0.492847
\(763\) 41.8178 24.1435i 1.51391 0.874053i
\(764\) −0.293441 + 0.508255i −0.0106163 + 0.0183880i
\(765\) 6.07583 2.88908i 0.219672 0.104455i
\(766\) −13.6930 −0.494750
\(767\) −18.9881 + 0.670640i −0.685621 + 0.0242154i
\(768\) 1.00000i 0.0360844i
\(769\) 6.03234 + 3.48277i 0.217532 + 0.125592i 0.604807 0.796372i \(-0.293250\pi\)
−0.387275 + 0.921964i \(0.626584\pi\)
\(770\) 20.6773 9.83213i 0.745158 0.354325i
\(771\) −7.12178 12.3353i −0.256485 0.444244i
\(772\) 22.6270 0.814363