Properties

Label 503.2.c.a.2.4
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.4
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.49378 - 1.83917i) q^{2} +(-0.567738 + 0.491382i) q^{3} +(-0.741049 + 3.53712i) q^{4} +(-0.276099 - 0.871972i) q^{5} +(1.75181 + 0.310147i) q^{6} +(0.530619 - 1.54068i) q^{7} +(3.39955 - 1.75096i) q^{8} +(-0.349454 + 2.41102i) q^{9} +O(q^{10})\) \(q+(-1.49378 - 1.83917i) q^{2} +(-0.567738 + 0.491382i) q^{3} +(-0.741049 + 3.53712i) q^{4} +(-0.276099 - 0.871972i) q^{5} +(1.75181 + 0.310147i) q^{6} +(0.530619 - 1.54068i) q^{7} +(3.39955 - 1.75096i) q^{8} +(-0.349454 + 2.41102i) q^{9} +(-1.19127 + 1.81033i) q^{10} +(1.06340 - 0.344047i) q^{11} +(-1.31736 - 2.37230i) q^{12} +(1.04837 - 0.353742i) q^{13} +(-3.62620 + 1.32554i) q^{14} +(0.585223 + 0.359381i) q^{15} +(-1.67846 - 0.735582i) q^{16} +(0.703646 + 0.351344i) q^{17} +(4.95629 - 2.95884i) q^{18} +(2.56369 + 5.75168i) q^{19} +(3.28887 - 0.330422i) q^{20} +(0.455811 + 1.13544i) q^{21} +(-2.22124 - 1.44183i) q^{22} +(1.59661 - 5.51876i) q^{23} +(-1.06966 + 2.66456i) q^{24} +(3.40466 - 2.39634i) q^{25} +(-2.21663 - 1.39972i) q^{26} +(-2.20093 - 3.43760i) q^{27} +(5.05637 + 3.01859i) q^{28} +(0.369203 - 3.09038i) q^{29} +(-0.213232 - 1.61316i) q^{30} +(-0.367397 - 4.50594i) q^{31} +(-0.878923 - 3.18693i) q^{32} +(-0.434671 + 0.717862i) q^{33} +(-0.404911 - 1.81895i) q^{34} +(-1.48993 - 0.0373047i) q^{35} +(-8.26913 - 3.02275i) q^{36} +(-1.71657 - 2.16837i) q^{37} +(6.74872 - 13.3068i) q^{38} +(-0.421378 + 0.715984i) q^{39} +(-2.46539 - 2.48087i) q^{40} +(0.592561 - 3.01598i) q^{41} +(1.40738 - 2.53441i) q^{42} +(-0.191768 + 1.04502i) q^{43} +(0.428910 + 4.01632i) q^{44} +(2.19883 - 0.360967i) q^{45} +(-12.5349 + 5.30738i) q^{46} +(1.96389 - 0.0737766i) q^{47} +(1.31438 - 0.407148i) q^{48} +(3.42333 + 2.67537i) q^{49} +(-9.49310 - 2.68214i) q^{50} +(-0.572130 + 0.146288i) q^{51} +(0.474333 + 3.97037i) q^{52} +(2.56016 - 5.74377i) q^{53} +(-3.03461 + 9.18289i) q^{54} +(-0.593602 - 0.832260i) q^{55} +(-0.893802 - 6.16671i) q^{56} +(-4.28178 - 2.00569i) q^{57} +(-6.23524 + 3.93733i) q^{58} +(0.536910 - 1.29050i) q^{59} +(-1.70485 + 1.80369i) q^{60} +(4.33492 + 7.15915i) q^{61} +(-7.73838 + 7.40660i) q^{62} +(3.52920 + 1.81773i) q^{63} +(-6.67663 + 9.36098i) q^{64} +(-0.597907 - 0.816484i) q^{65} +(1.96957 - 0.272896i) q^{66} +(4.28776 - 2.63308i) q^{67} +(-1.76418 + 2.22852i) q^{68} +(1.80536 + 3.91775i) q^{69} +(2.15703 + 2.79596i) q^{70} +(-1.87804 - 11.9057i) q^{71} +(3.03361 + 8.80826i) q^{72} +(-6.80070 - 6.50912i) q^{73} +(-1.42382 + 6.39612i) q^{74} +(-0.755437 + 3.03348i) q^{75} +(-22.2442 + 4.80581i) q^{76} +(0.0341907 - 1.82091i) q^{77} +(1.94626 - 0.294538i) q^{78} +(-0.130955 - 2.32260i) q^{79} +(-0.177986 + 1.66666i) q^{80} +(-4.06917 - 1.20488i) q^{81} +(-6.43205 + 3.41539i) q^{82} +(0.468142 + 0.895109i) q^{83} +(-4.35397 + 0.770845i) q^{84} +(0.112087 - 0.710565i) q^{85} +(2.20843 - 1.20834i) q^{86} +(1.30895 + 1.93595i) q^{87} +(3.01265 - 3.03156i) q^{88} +(0.583711 + 2.22479i) q^{89} +(-3.94845 - 3.50481i) q^{90} +(0.0112830 - 1.80291i) q^{91} +(18.3374 + 9.73707i) q^{92} +(2.42273 + 2.37766i) q^{93} +(-3.06931 - 3.50172i) q^{94} +(4.30747 - 3.82350i) q^{95} +(2.06500 + 1.37745i) q^{96} +(2.92416 + 12.4020i) q^{97} +(-0.193259 - 10.2925i) q^{98} +(0.457899 + 2.68410i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.49378 1.83917i −1.05626 1.30049i −0.952053 0.305933i \(-0.901032\pi\)
−0.104209 0.994555i \(-0.533231\pi\)
\(3\) −0.567738 + 0.491382i −0.327783 + 0.283700i −0.802764 0.596297i \(-0.796638\pi\)
0.474981 + 0.879996i \(0.342455\pi\)
\(4\) −0.741049 + 3.53712i −0.370524 + 1.76856i
\(5\) −0.276099 0.871972i −0.123475 0.389958i 0.871461 0.490464i \(-0.163173\pi\)
−0.994936 + 0.100507i \(0.967954\pi\)
\(6\) 1.75181 + 0.310147i 0.715173 + 0.126617i
\(7\) 0.530619 1.54068i 0.200555 0.582323i −0.799271 0.600971i \(-0.794781\pi\)
0.999826 + 0.0186478i \(0.00593611\pi\)
\(8\) 3.39955 1.75096i 1.20192 0.619056i
\(9\) −0.349454 + 2.41102i −0.116485 + 0.803675i
\(10\) −1.19127 + 1.81033i −0.376713 + 0.572475i
\(11\) 1.06340 0.344047i 0.320626 0.103734i −0.143112 0.989706i \(-0.545711\pi\)
0.463738 + 0.885972i \(0.346508\pi\)
\(12\) −1.31736 2.37230i −0.380289 0.684823i
\(13\) 1.04837 0.353742i 0.290766 0.0981103i −0.170542 0.985350i \(-0.554552\pi\)
0.461308 + 0.887240i \(0.347380\pi\)
\(14\) −3.62620 + 1.32554i −0.969143 + 0.354266i
\(15\) 0.585223 + 0.359381i 0.151104 + 0.0927918i
\(16\) −1.67846 0.735582i −0.419615 0.183895i
\(17\) 0.703646 + 0.351344i 0.170659 + 0.0852135i 0.530020 0.847985i \(-0.322184\pi\)
−0.359361 + 0.933199i \(0.617005\pi\)
\(18\) 4.95629 2.95884i 1.16821 0.697405i
\(19\) 2.56369 + 5.75168i 0.588151 + 1.31953i 0.925714 + 0.378224i \(0.123465\pi\)
−0.337564 + 0.941303i \(0.609603\pi\)
\(20\) 3.28887 0.330422i 0.735415 0.0738845i
\(21\) 0.455811 + 1.13544i 0.0994662 + 0.247773i
\(22\) −2.22124 1.44183i −0.473570 0.307400i
\(23\) 1.59661 5.51876i 0.332916 1.15074i −0.602773 0.797913i \(-0.705937\pi\)
0.935688 0.352827i \(-0.114780\pi\)
\(24\) −1.06966 + 2.66456i −0.218344 + 0.543901i
\(25\) 3.40466 2.39634i 0.680933 0.479268i
\(26\) −2.21663 1.39972i −0.434717 0.274508i
\(27\) −2.20093 3.43760i −0.423569 0.661566i
\(28\) 5.05637 + 3.01859i 0.955564 + 0.570459i
\(29\) 0.369203 3.09038i 0.0685593 0.573870i −0.916297 0.400499i \(-0.868837\pi\)
0.984857 0.173371i \(-0.0554659\pi\)
\(30\) −0.213232 1.61316i −0.0389307 0.294521i
\(31\) −0.367397 4.50594i −0.0659864 0.809292i −0.943849 0.330378i \(-0.892824\pi\)
0.877862 0.478913i \(-0.158969\pi\)
\(32\) −0.878923 3.18693i −0.155373 0.563375i
\(33\) −0.434671 + 0.717862i −0.0756665 + 0.124964i
\(34\) −0.404911 1.81895i −0.0694417 0.311948i
\(35\) −1.48993 0.0373047i −0.251845 0.00630565i
\(36\) −8.26913 3.02275i −1.37819 0.503791i
\(37\) −1.71657 2.16837i −0.282202 0.356477i 0.622427 0.782678i \(-0.286147\pi\)
−0.904629 + 0.426200i \(0.859852\pi\)
\(38\) 6.74872 13.3068i 1.09479 2.15865i
\(39\) −0.421378 + 0.715984i −0.0674745 + 0.114649i
\(40\) −2.46539 2.48087i −0.389813 0.392260i
\(41\) 0.592561 3.01598i 0.0925425 0.471017i −0.906288 0.422661i \(-0.861096\pi\)
0.998830 0.0483556i \(-0.0153981\pi\)
\(42\) 1.40738 2.53441i 0.217164 0.391068i
\(43\) −0.191768 + 1.04502i −0.0292443 + 0.159365i −0.994966 0.100216i \(-0.968047\pi\)
0.965721 + 0.259581i \(0.0835844\pi\)
\(44\) 0.428910 + 4.01632i 0.0646606 + 0.605483i
\(45\) 2.19883 0.360967i 0.327782 0.0538098i
\(46\) −12.5349 + 5.30738i −1.84817 + 0.782531i
\(47\) 1.96389 0.0737766i 0.286463 0.0107614i 0.106079 0.994358i \(-0.466170\pi\)
0.180384 + 0.983596i \(0.442266\pi\)
\(48\) 1.31438 0.407148i 0.189714 0.0587667i
\(49\) 3.42333 + 2.67537i 0.489047 + 0.382195i
\(50\) −9.49310 2.68214i −1.34253 0.379312i
\(51\) −0.572130 + 0.146288i −0.0801143 + 0.0204844i
\(52\) 0.474333 + 3.97037i 0.0657782 + 0.550591i
\(53\) 2.56016 5.74377i 0.351665 0.788967i −0.647962 0.761673i \(-0.724378\pi\)
0.999627 0.0272947i \(-0.00868925\pi\)
\(54\) −3.03461 + 9.18289i −0.412959 + 1.24963i
\(55\) −0.593602 0.832260i −0.0800412 0.112222i
\(56\) −0.893802 6.16671i −0.119439 0.824061i
\(57\) −4.28178 2.00569i −0.567135 0.265661i
\(58\) −6.23524 + 3.93733i −0.818727 + 0.516996i
\(59\) 0.536910 1.29050i 0.0698998 0.168009i −0.884500 0.466540i \(-0.845500\pi\)
0.954400 + 0.298531i \(0.0964965\pi\)
\(60\) −1.70485 + 1.80369i −0.220096 + 0.232855i
\(61\) 4.33492 + 7.15915i 0.555030 + 0.916635i 0.999780 + 0.0209807i \(0.00667885\pi\)
−0.444750 + 0.895655i \(0.646708\pi\)
\(62\) −7.73838 + 7.40660i −0.982775 + 0.940639i
\(63\) 3.52920 + 1.81773i 0.444637 + 0.229013i
\(64\) −6.67663 + 9.36098i −0.834579 + 1.17012i
\(65\) −0.597907 0.816484i −0.0741612 0.101272i
\(66\) 1.96957 0.272896i 0.242438 0.0335912i
\(67\) 4.28776 2.63308i 0.523833 0.321682i −0.236051 0.971741i \(-0.575853\pi\)
0.759884 + 0.650059i \(0.225256\pi\)
\(68\) −1.76418 + 2.22852i −0.213939 + 0.270248i
\(69\) 1.80536 + 3.91775i 0.217340 + 0.471642i
\(70\) 2.15703 + 2.79596i 0.257814 + 0.334182i
\(71\) −1.87804 11.9057i −0.222882 1.41295i −0.801816 0.597571i \(-0.796133\pi\)
0.578934 0.815375i \(-0.303469\pi\)
\(72\) 3.03361 + 8.80826i 0.357515 + 1.03806i
\(73\) −6.80070 6.50912i −0.795962 0.761835i 0.179085 0.983834i \(-0.442686\pi\)
−0.975047 + 0.221998i \(0.928742\pi\)
\(74\) −1.42382 + 6.39612i −0.165516 + 0.743533i
\(75\) −0.755437 + 3.03348i −0.0872303 + 0.350277i
\(76\) −22.2442 + 4.80581i −2.55159 + 0.551264i
\(77\) 0.0341907 1.82091i 0.00389639 0.207512i
\(78\) 1.94626 0.294538i 0.220371 0.0333499i
\(79\) −0.130955 2.32260i −0.0147336 0.261313i −0.997195 0.0748471i \(-0.976153\pi\)
0.982461 0.186466i \(-0.0597034\pi\)
\(80\) −0.177986 + 1.66666i −0.0198994 + 0.186339i
\(81\) −4.06917 1.20488i −0.452130 0.133876i
\(82\) −6.43205 + 3.41539i −0.710301 + 0.377167i
\(83\) 0.468142 + 0.895109i 0.0513853 + 0.0982510i 0.910456 0.413606i \(-0.135731\pi\)
−0.859071 + 0.511857i \(0.828958\pi\)
\(84\) −4.35397 + 0.770845i −0.475057 + 0.0841061i
\(85\) 0.112087 0.710565i 0.0121575 0.0770716i
\(86\) 2.20843 1.20834i 0.238141 0.130299i
\(87\) 1.30895 + 1.93595i 0.140334 + 0.207555i
\(88\) 3.01265 3.03156i 0.321150 0.323166i
\(89\) 0.583711 + 2.22479i 0.0618733 + 0.235827i 0.990985 0.133972i \(-0.0427732\pi\)
−0.929112 + 0.369799i \(0.879427\pi\)
\(90\) −3.94845 3.50481i −0.416203 0.369439i
\(91\) 0.0112830 1.80291i 0.00118278 0.188996i
\(92\) 18.3374 + 9.73707i 1.91180 + 1.01516i
\(93\) 2.42273 + 2.37766i 0.251225 + 0.246552i
\(94\) −3.06931 3.50172i −0.316575 0.361174i
\(95\) 4.30747 3.82350i 0.441937 0.392282i
\(96\) 2.06500 + 1.37745i 0.210758 + 0.140586i
\(97\) 2.92416 + 12.4020i 0.296903 + 1.25923i 0.890690 + 0.454611i \(0.150222\pi\)
−0.593787 + 0.804622i \(0.702368\pi\)
\(98\) −0.193259 10.2925i −0.0195221 1.03970i
\(99\) 0.457899 + 2.68410i 0.0460206 + 0.269762i
\(100\) 5.95314 + 13.8185i 0.595314 + 1.38185i
\(101\) 13.8851 5.47340i 1.38162 0.544624i 0.445178 0.895442i \(-0.353140\pi\)
0.936444 + 0.350818i \(0.114096\pi\)
\(102\) 1.12368 + 0.833722i 0.111261 + 0.0825508i
\(103\) 9.53712 1.93586i 0.939720 0.190746i 0.295289 0.955408i \(-0.404584\pi\)
0.644431 + 0.764662i \(0.277094\pi\)
\(104\) 2.94460 3.03822i 0.288742 0.297922i
\(105\) 0.864223 0.710948i 0.0843395 0.0693814i
\(106\) −14.3881 + 3.87136i −1.39749 + 0.376020i
\(107\) 11.6206 + 0.436545i 1.12340 + 0.0422024i 0.592749 0.805387i \(-0.298043\pi\)
0.530653 + 0.847589i \(0.321947\pi\)
\(108\) 13.7902 5.23753i 1.32696 0.503982i
\(109\) 3.32191 + 3.51449i 0.318181 + 0.336627i 0.866068 0.499926i \(-0.166639\pi\)
−0.547887 + 0.836552i \(0.684568\pi\)
\(110\) −0.643955 + 2.33495i −0.0613987 + 0.222628i
\(111\) 2.04006 + 0.387574i 0.193634 + 0.0367869i
\(112\) −2.02392 + 2.19566i −0.191243 + 0.207470i
\(113\) 5.14830 + 10.4741i 0.484312 + 0.985323i 0.992288 + 0.123952i \(0.0395570\pi\)
−0.507977 + 0.861371i \(0.669606\pi\)
\(114\) 2.70723 + 10.8710i 0.253555 + 1.01816i
\(115\) −5.25302 + 0.131524i −0.489847 + 0.0122647i
\(116\) 10.6575 + 3.59604i 0.989521 + 0.333884i
\(117\) 0.486523 + 2.65127i 0.0449790 + 0.245110i
\(118\) −3.17547 + 0.940258i −0.292326 + 0.0865578i
\(119\) 0.914678 0.897665i 0.0838484 0.0822888i
\(120\) 2.61875 + 0.197033i 0.239058 + 0.0179866i
\(121\) −7.90290 + 5.71162i −0.718446 + 0.519239i
\(122\) 6.69146 18.6668i 0.605816 1.69002i
\(123\) 1.14558 + 2.00346i 0.103293 + 0.180646i
\(124\) 16.2103 + 2.03960i 1.45573 + 0.183161i
\(125\) −6.66786 5.07787i −0.596392 0.454178i
\(126\) −1.92873 9.20608i −0.171825 0.820143i
\(127\) 6.66600 3.75647i 0.591512 0.333332i −0.166028 0.986121i \(-0.553094\pi\)
0.757540 + 0.652789i \(0.226401\pi\)
\(128\) 20.5910 1.29030i 1.82000 0.114047i
\(129\) −0.404632 0.687530i −0.0356259 0.0605337i
\(130\) −0.608508 + 2.31930i −0.0533697 + 0.203416i
\(131\) 8.70808 5.80871i 0.760829 0.507509i −0.113088 0.993585i \(-0.536074\pi\)
0.873917 + 0.486076i \(0.161572\pi\)
\(132\) −2.21706 2.06946i −0.192970 0.180123i
\(133\) 10.2219 0.897878i 0.886347 0.0778559i
\(134\) −11.2476 3.95266i −0.971648 0.341458i
\(135\) −2.38981 + 2.86826i −0.205682 + 0.246861i
\(136\) 3.00726 0.0376418i 0.257871 0.00322776i
\(137\) 3.82026 + 9.87201i 0.326387 + 0.843423i 0.995006 + 0.0998175i \(0.0318259\pi\)
−0.668619 + 0.743605i \(0.733114\pi\)
\(138\) 4.50858 9.17263i 0.383796 0.780826i
\(139\) 4.58642 + 0.990884i 0.389015 + 0.0840457i 0.401459 0.915877i \(-0.368503\pi\)
−0.0124445 + 0.999923i \(0.503961\pi\)
\(140\) 1.23607 5.24244i 0.104467 0.443067i
\(141\) −1.07872 + 1.00691i −0.0908447 + 0.0847968i
\(142\) −19.0912 + 21.2385i −1.60210 + 1.78230i
\(143\) 0.993131 0.736857i 0.0830498 0.0616191i
\(144\) 2.36005 3.78976i 0.196671 0.315813i
\(145\) −2.79666 + 0.531315i −0.232250 + 0.0441233i
\(146\) −1.81261 + 22.2308i −0.150013 + 1.83984i
\(147\) −3.25818 + 0.163258i −0.268730 + 0.0134653i
\(148\) 8.94184 4.46484i 0.735015 0.367008i
\(149\) −8.80501 + 13.7524i −0.721335 + 1.12664i 0.265374 + 0.964145i \(0.414504\pi\)
−0.986709 + 0.162496i \(0.948045\pi\)
\(150\) 6.70754 3.14199i 0.547669 0.256542i
\(151\) −6.40119 9.72762i −0.520921 0.791622i 0.475176 0.879891i \(-0.342385\pi\)
−0.996097 + 0.0882686i \(0.971867\pi\)
\(152\) 18.7863 + 15.0642i 1.52377 + 1.22187i
\(153\) −1.09299 + 1.57373i −0.0883631 + 0.127228i
\(154\) −3.40004 + 2.65716i −0.273983 + 0.214120i
\(155\) −3.82762 + 1.56444i −0.307442 + 0.125659i
\(156\) −2.22026 2.02105i −0.177763 0.161813i
\(157\) 2.11535 4.44327i 0.168823 0.354612i −0.800907 0.598788i \(-0.795649\pi\)
0.969731 + 0.244176i \(0.0785176\pi\)
\(158\) −4.07604 + 3.71031i −0.324272 + 0.295176i
\(159\) 1.36889 + 4.51897i 0.108560 + 0.358378i
\(160\) −2.53624 + 1.64630i −0.200507 + 0.130152i
\(161\) −7.65546 5.38822i −0.603335 0.424652i
\(162\) 3.86247 + 9.28372i 0.303464 + 0.729398i
\(163\) −0.725882 0.275691i −0.0568555 0.0215938i 0.326463 0.945210i \(-0.394143\pi\)
−0.383319 + 0.923616i \(0.625219\pi\)
\(164\) 10.2288 + 4.33095i 0.798734 + 0.338191i
\(165\) 0.745968 + 0.180820i 0.0580735 + 0.0140768i
\(166\) 0.946955 2.19809i 0.0734979 0.170605i
\(167\) 0.202232 6.46089i 0.0156492 0.499958i −0.959921 0.280271i \(-0.909576\pi\)
0.975570 0.219688i \(-0.0705039\pi\)
\(168\) 3.53766 + 3.06187i 0.272936 + 0.236229i
\(169\) −9.36846 + 7.13449i −0.720651 + 0.548807i
\(170\) −1.47428 + 0.855282i −0.113072 + 0.0655971i
\(171\) −14.7633 + 4.17117i −1.12898 + 0.318978i
\(172\) −3.55427 1.45272i −0.271010 0.110769i
\(173\) −3.20245 6.72671i −0.243478 0.511422i 0.744194 0.667964i \(-0.232834\pi\)
−0.987671 + 0.156542i \(0.949965\pi\)
\(174\) 1.60525 5.29925i 0.121694 0.401735i
\(175\) −1.88542 6.51705i −0.142524 0.492643i
\(176\) −2.03794 0.204745i −0.153616 0.0154332i
\(177\) 0.329305 + 0.996494i 0.0247521 + 0.0749011i
\(178\) 3.21982 4.39688i 0.241336 0.329560i
\(179\) −2.01769 + 3.74308i −0.150809 + 0.279771i −0.944475 0.328583i \(-0.893429\pi\)
0.793666 + 0.608354i \(0.208170\pi\)
\(180\) −0.352655 + 8.04502i −0.0262853 + 0.599641i
\(181\) 0.324201 + 4.70206i 0.0240976 + 0.349501i 0.994256 + 0.107029i \(0.0341337\pi\)
−0.970158 + 0.242473i \(0.922042\pi\)
\(182\) −3.33271 + 2.67240i −0.247037 + 0.198092i
\(183\) −5.97898 1.93442i −0.441979 0.142996i
\(184\) −4.23536 21.5569i −0.312235 1.58919i
\(185\) −1.41681 + 2.09548i −0.104166 + 0.154063i
\(186\) 0.753899 8.00750i 0.0552785 0.587139i
\(187\) 0.869133 + 0.131531i 0.0635573 + 0.00961847i
\(188\) −1.19438 + 7.00119i −0.0871092 + 0.510615i
\(189\) −6.46410 + 1.56688i −0.470194 + 0.113973i
\(190\) −13.4665 2.21070i −0.976960 0.160381i
\(191\) −0.912544 + 16.1847i −0.0660293 + 1.17109i 0.775670 + 0.631139i \(0.217412\pi\)
−0.841699 + 0.539947i \(0.818444\pi\)
\(192\) −0.809244 8.59536i −0.0584022 0.620316i
\(193\) 11.5815 + 6.33681i 0.833654 + 0.456134i 0.839182 0.543851i \(-0.183034\pi\)
−0.00552733 + 0.999985i \(0.501759\pi\)
\(194\) 18.4413 23.9039i 1.32401 1.71620i
\(195\) 0.740660 + 0.169748i 0.0530397 + 0.0121559i
\(196\) −12.0000 + 10.1262i −0.857140 + 0.723298i
\(197\) −20.9387 + 1.57542i −1.49182 + 0.112244i −0.795705 0.605684i \(-0.792900\pi\)
−0.696118 + 0.717928i \(0.745091\pi\)
\(198\) 4.25251 4.85161i 0.302213 0.344789i
\(199\) −0.0311346 4.97498i −0.00220707 0.352667i −0.985414 0.170173i \(-0.945567\pi\)
0.983207 0.182494i \(-0.0584169\pi\)
\(200\) 7.37842 14.1079i 0.521733 0.997578i
\(201\) −1.14047 + 3.60183i −0.0804427 + 0.254053i
\(202\) −30.8078 17.3610i −2.16763 1.22152i
\(203\) −4.56539 2.20864i −0.320428 0.155016i
\(204\) −0.0934610 2.13210i −0.00654358 0.149277i
\(205\) −2.79345 + 0.316011i −0.195103 + 0.0220712i
\(206\) −17.8067 14.6486i −1.24065 1.02062i
\(207\) 12.7479 + 5.77801i 0.886041 + 0.401599i
\(208\) −2.01986 0.177422i −0.140052 0.0123020i
\(209\) 4.70507 + 5.23428i 0.325456 + 0.362063i
\(210\) −2.59851 0.527450i −0.179314 0.0363975i
\(211\) 10.0217 6.86771i 0.689919 0.472792i −0.168526 0.985697i \(-0.553901\pi\)
0.858446 + 0.512905i \(0.171431\pi\)
\(212\) 18.4192 + 13.3120i 1.26504 + 0.914274i
\(213\) 6.91648 + 5.83647i 0.473909 + 0.399909i
\(214\) −16.5557 22.0243i −1.13172 1.50555i
\(215\) 0.964177 0.121314i 0.0657564 0.00827351i
\(216\) −13.5012 7.83254i −0.918643 0.532937i
\(217\) −7.13718 1.82490i −0.484503 0.123882i
\(218\) 1.50152 11.3594i 0.101696 0.769357i
\(219\) 7.05948 + 0.353730i 0.477035 + 0.0239029i
\(220\) 3.38369 1.48290i 0.228129 0.0999769i
\(221\) 0.861968 + 0.119431i 0.0579823 + 0.00803379i
\(222\) −2.33458 4.33095i −0.156687 0.290675i
\(223\) −11.2999 + 5.46666i −0.756697 + 0.366074i −0.773510 0.633784i \(-0.781501\pi\)
0.0168125 + 0.999859i \(0.494648\pi\)
\(224\) −5.37642 0.336904i −0.359227 0.0225104i
\(225\) 4.58787 + 9.04614i 0.305858 + 0.603076i
\(226\) 11.5732 25.1146i 0.769841 1.67060i
\(227\) −3.88323 + 0.889975i −0.257739 + 0.0590697i −0.350301 0.936637i \(-0.613921\pi\)
0.0925620 + 0.995707i \(0.470494\pi\)
\(228\) 10.2674 13.6589i 0.679975 0.904580i
\(229\) −11.2106 + 19.6058i −0.740818 + 1.29559i 0.207491 + 0.978237i \(0.433470\pi\)
−0.948309 + 0.317350i \(0.897207\pi\)
\(230\) 8.08875 + 9.46472i 0.533357 + 0.624085i
\(231\) 0.875353 + 1.05060i 0.0575940 + 0.0691245i
\(232\) −4.15600 11.1524i −0.272855 0.732188i
\(233\) −22.3514 0.279771i −1.46429 0.0183284i −0.723619 0.690199i \(-0.757523\pi\)
−0.740668 + 0.671871i \(0.765491\pi\)
\(234\) 4.14937 4.85521i 0.271253 0.317395i
\(235\) −0.606558 1.69209i −0.0395675 0.110380i
\(236\) 4.16679 + 2.85544i 0.271235 + 0.185874i
\(237\) 1.21563 + 1.25428i 0.0789639 + 0.0814742i
\(238\) −3.01728 0.341332i −0.195581 0.0221253i
\(239\) 0.992600 14.3962i 0.0642059 0.931214i −0.850211 0.526442i \(-0.823526\pi\)
0.914417 0.404773i \(-0.132649\pi\)
\(240\) −0.717919 1.03369i −0.0463415 0.0667241i
\(241\) −0.983722 0.304723i −0.0633671 0.0196289i 0.264048 0.964510i \(-0.414942\pi\)
−0.327415 + 0.944881i \(0.606177\pi\)
\(242\) 22.3098 + 6.00285i 1.43413 + 0.385878i
\(243\) 14.0555 6.37069i 0.901663 0.408680i
\(244\) −28.5352 + 10.0279i −1.82678 + 0.641969i
\(245\) 1.38767 3.72371i 0.0886547 0.237899i
\(246\) 1.97345 5.09964i 0.125823 0.325141i
\(247\) 4.72231 + 5.12302i 0.300474 + 0.325970i
\(248\) −9.13869 14.6749i −0.580307 0.931855i
\(249\) −0.705623 0.278151i −0.0447170 0.0176271i
\(250\) 0.621279 + 19.8485i 0.0392931 + 1.25533i
\(251\) −8.56328 + 10.5433i −0.540510 + 0.665485i −0.971546 0.236850i \(-0.923885\pi\)
0.431037 + 0.902334i \(0.358148\pi\)
\(252\) −9.04486 + 11.1362i −0.569772 + 0.701513i
\(253\) −0.200888 6.41793i −0.0126297 0.403492i
\(254\) −16.8663 6.64856i −1.05829 0.417168i
\(255\) 0.285523 + 0.458492i 0.0178801 + 0.0287119i
\(256\) −17.5455 19.0343i −1.09659 1.18964i
\(257\) −5.81923 + 15.0376i −0.362993 + 0.938019i 0.624594 + 0.780949i \(0.285264\pi\)
−0.987588 + 0.157069i \(0.949795\pi\)
\(258\) −0.660052 + 1.77121i −0.0410930 + 0.110270i
\(259\) −4.25161 + 1.49410i −0.264182 + 0.0928391i
\(260\) 3.33108 1.50982i 0.206585 0.0936349i
\(261\) 7.32197 + 1.97010i 0.453218 + 0.121946i
\(262\) −23.6912 7.33869i −1.46364 0.453386i
\(263\) 0.785924 + 1.13160i 0.0484621 + 0.0697776i 0.844829 0.535036i \(-0.179702\pi\)
−0.796367 + 0.604813i \(0.793248\pi\)
\(264\) −0.220739 + 3.20150i −0.0135855 + 0.197038i
\(265\) −5.71526 0.646542i −0.351086 0.0397168i
\(266\) −16.9206 17.4585i −1.03747 1.07045i
\(267\) −1.42461 0.976269i −0.0871850 0.0597467i
\(268\) 6.13610 + 17.1176i 0.374822 + 1.04562i
\(269\) −12.9689 + 15.1750i −0.790728 + 0.925237i −0.998599 0.0529189i \(-0.983148\pi\)
0.207871 + 0.978156i \(0.433347\pi\)
\(270\) 8.84507 + 0.110713i 0.538294 + 0.00673780i
\(271\) −5.32287 14.2836i −0.323341 0.867665i −0.992243 0.124314i \(-0.960327\pi\)
0.668902 0.743351i \(-0.266765\pi\)
\(272\) −0.922599 1.10731i −0.0559408 0.0671403i
\(273\) 0.879513 + 1.02912i 0.0532305 + 0.0622855i
\(274\) 12.4497 21.7727i 0.752111 1.31534i
\(275\) 2.79605 3.71963i 0.168608 0.224302i
\(276\) −15.1954 + 3.48255i −0.914658 + 0.209625i
\(277\) 5.18511 11.2520i 0.311543 0.676067i −0.687185 0.726482i \(-0.741154\pi\)
0.998728 + 0.0504148i \(0.0160543\pi\)
\(278\) −5.02870 9.91535i −0.301601 0.594683i
\(279\) 10.9923 + 0.688816i 0.658094 + 0.0412384i
\(280\) −5.13042 + 2.48199i −0.306601 + 0.148327i
\(281\) −8.90325 16.5167i −0.531124 0.985303i −0.995045 0.0994270i \(-0.968299\pi\)
0.463921 0.885876i \(-0.346442\pi\)
\(282\) 3.46324 + 0.479853i 0.206233 + 0.0285748i
\(283\) 14.8033 6.48752i 0.879965 0.385643i 0.0879357 0.996126i \(-0.471973\pi\)
0.792029 + 0.610483i \(0.209025\pi\)
\(284\) 43.5036 + 2.17984i 2.58147 + 0.129350i
\(285\) −0.566716 + 4.28736i −0.0335694 + 0.253961i
\(286\) −2.83872 0.725832i −0.167857 0.0429193i
\(287\) −4.33224 2.51329i −0.255724 0.148355i
\(288\) 7.99090 1.00542i 0.470869 0.0592450i
\(289\) −9.84312 13.0944i −0.579007 0.770261i
\(290\) 5.15478 + 4.34986i 0.302699 + 0.255433i
\(291\) −7.75428 5.60421i −0.454564 0.328525i
\(292\) 28.0632 19.2313i 1.64228 1.12543i
\(293\) −4.41477 0.896117i −0.257914 0.0523517i 0.0682385 0.997669i \(-0.478262\pi\)
−0.326152 + 0.945317i \(0.605752\pi\)
\(294\) 5.16727 + 5.74847i 0.301361 + 0.335257i
\(295\) −1.27352 0.111865i −0.0741472 0.00651302i
\(296\) −9.63226 4.36583i −0.559864 0.253759i
\(297\) −3.52315 2.89830i −0.204434 0.168177i
\(298\) 38.4458 4.34920i 2.22710 0.251942i
\(299\) −0.278375 6.35050i −0.0160988 0.367259i
\(300\) −10.1700 4.92003i −0.587165 0.284058i
\(301\) 1.50829 + 0.849963i 0.0869366 + 0.0489910i
\(302\) −8.32876 + 26.3038i −0.479266 + 1.51361i
\(303\) −5.19358 + 9.93036i −0.298363 + 0.570484i
\(304\) −0.0722186 11.5398i −0.00414202 0.661851i
\(305\) 5.04571 5.75656i 0.288917 0.329620i
\(306\) 4.52704 0.340611i 0.258794 0.0194715i
\(307\) 11.1043 9.37037i 0.633756 0.534795i −0.269991 0.962863i \(-0.587021\pi\)
0.903747 + 0.428068i \(0.140806\pi\)
\(308\) 6.41546 + 1.47032i 0.365555 + 0.0837794i
\(309\) −4.46333 + 5.78543i −0.253910 + 0.329122i
\(310\) 8.59490 + 4.70269i 0.488157 + 0.267095i
\(311\) −0.202139 2.14701i −0.0114623 0.121746i 0.988003 0.154432i \(-0.0493548\pi\)
−0.999466 + 0.0326862i \(0.989594\pi\)
\(312\) −0.178838 + 3.17184i −0.0101247 + 0.179570i
\(313\) 24.3793 + 4.00219i 1.37800 + 0.226217i 0.804969 0.593317i \(-0.202182\pi\)
0.573031 + 0.819534i \(0.305767\pi\)
\(314\) −11.3318 + 2.74679i −0.639490 + 0.155010i
\(315\) 0.610605 3.57923i 0.0344037 0.201667i
\(316\) 8.31238 + 1.25796i 0.467608 + 0.0707656i
\(317\) 0.662545 7.03720i 0.0372122 0.395248i −0.957180 0.289494i \(-0.906513\pi\)
0.994392 0.105755i \(-0.0337259\pi\)
\(318\) 6.26633 9.26796i 0.351398 0.519721i
\(319\) −0.670629 3.41332i −0.0375480 0.191109i
\(320\) 10.0059 + 3.23728i 0.559348 + 0.180969i
\(321\) −6.81194 + 5.46229i −0.380205 + 0.304875i
\(322\) 1.52573 + 22.1285i 0.0850256 + 1.23317i
\(323\) −0.216891 + 4.94788i −0.0120681 + 0.275308i
\(324\) 7.27728 13.5003i 0.404293 0.750017i
\(325\) 2.72167 3.71663i 0.150971 0.206162i
\(326\) 0.577268 + 1.74684i 0.0319719 + 0.0967485i
\(327\) −3.61293 0.362978i −0.199795 0.0200727i
\(328\) −3.26641 11.2905i −0.180357 0.623414i
\(329\) 0.928411 3.06488i 0.0511850 0.168972i
\(330\) −0.781754 1.64206i −0.0430341 0.0903927i
\(331\) 4.99125 + 2.04005i 0.274344 + 0.112131i 0.511338 0.859380i \(-0.329150\pi\)
−0.236994 + 0.971511i \(0.576162\pi\)
\(332\) −3.51303 + 0.992557i −0.192803 + 0.0544737i
\(333\) 5.82785 3.38094i 0.319364 0.185274i
\(334\) −12.1847 + 9.27921i −0.666720 + 0.507736i
\(335\) −3.47981 3.01181i −0.190123 0.164553i
\(336\) 0.0701479 2.24108i 0.00382688 0.122261i
\(337\) −4.41098 + 10.2388i −0.240281 + 0.557746i −0.995177 0.0980998i \(-0.968724\pi\)
0.754895 + 0.655845i \(0.227688\pi\)
\(338\) 27.1159 + 6.57281i 1.47491 + 0.357514i
\(339\) −8.06969 3.41677i −0.438285 0.185574i
\(340\) 2.43029 + 0.923028i 0.131801 + 0.0500582i
\(341\) −1.94095 4.66520i −0.105108 0.252635i
\(342\) 29.7247 + 20.9214i 1.60733 + 1.13130i
\(343\) 15.5059 10.0651i 0.837242 0.543463i
\(344\) 1.17787 + 3.88838i 0.0635063 + 0.209647i
\(345\) 2.91771 2.65591i 0.157084 0.142989i
\(346\) −7.58779 + 15.9381i −0.407922 + 0.856835i
\(347\) 3.95074 + 3.59625i 0.212087 + 0.193057i 0.772238 0.635334i \(-0.219137\pi\)
−0.560151 + 0.828390i \(0.689257\pi\)
\(348\) −7.81768 + 3.19528i −0.419072 + 0.171285i
\(349\) 8.09255 6.32441i 0.433184 0.338538i −0.375457 0.926840i \(-0.622514\pi\)
0.808641 + 0.588302i \(0.200203\pi\)
\(350\) −9.16955 + 13.2026i −0.490133 + 0.705711i
\(351\) −3.52341 2.82532i −0.188066 0.150805i
\(352\) −2.03110 3.08658i −0.108258 0.164515i
\(353\) −13.0704 + 6.12251i −0.695667 + 0.325868i −0.739487 0.673171i \(-0.764932\pi\)
0.0438196 + 0.999039i \(0.486047\pi\)
\(354\) 1.34081 2.09419i 0.0712633 0.111305i
\(355\) −9.86290 + 4.92474i −0.523468 + 0.261378i
\(356\) −8.30190 + 0.415984i −0.440000 + 0.0220471i
\(357\) −0.0782007 + 0.959094i −0.00413882 + 0.0507607i
\(358\) 9.89815 1.88047i 0.523133 0.0993859i
\(359\) −7.46292 + 11.9839i −0.393878 + 0.632487i −0.984689 0.174323i \(-0.944226\pi\)
0.590811 + 0.806810i \(0.298808\pi\)
\(360\) 6.84298 5.07717i 0.360657 0.267591i
\(361\) −13.8076 + 15.3607i −0.726718 + 0.808458i
\(362\) 8.16359 7.62011i 0.429069 0.400504i
\(363\) 1.68018 7.12605i 0.0881868 0.374021i
\(364\) 6.36876 + 1.37596i 0.333814 + 0.0721197i
\(365\) −3.79811 + 7.72718i −0.198802 + 0.404459i
\(366\) 5.37356 + 13.8859i 0.280881 + 0.725829i
\(367\) −25.9612 + 0.324956i −1.35517 + 0.0169626i −0.686787 0.726859i \(-0.740979\pi\)
−0.668379 + 0.743821i \(0.733011\pi\)
\(368\) −6.73934 + 8.08858i −0.351312 + 0.421646i
\(369\) 7.06453 + 2.48262i 0.367765 + 0.129240i
\(370\) 5.97035 0.524429i 0.310383 0.0272638i
\(371\) −7.49085 6.99215i −0.388906 0.363014i
\(372\) −10.2054 + 6.80752i −0.529128 + 0.352953i
\(373\) −2.56710 + 9.78436i −0.132919 + 0.506615i 0.867046 + 0.498229i \(0.166016\pi\)
−0.999965 + 0.00838610i \(0.997331\pi\)
\(374\) −1.05639 1.79496i −0.0546245 0.0928151i
\(375\) 6.28077 0.393574i 0.324338 0.0203241i
\(376\) 6.54715 3.68949i 0.337644 0.190271i
\(377\) −0.706135 3.37048i −0.0363678 0.173588i
\(378\) 12.5377 + 9.54800i 0.644869 + 0.491096i
\(379\) −21.9422 2.76078i −1.12709 0.141812i −0.460801 0.887503i \(-0.652438\pi\)
−0.666291 + 0.745692i \(0.732119\pi\)
\(380\) 10.3321 + 18.0695i 0.530027 + 0.926944i
\(381\) −1.93868 + 5.40824i −0.0993216 + 0.277073i
\(382\) 31.1296 22.4981i 1.59273 1.15110i
\(383\) −23.5953 1.77529i −1.20566 0.0907132i −0.543066 0.839690i \(-0.682737\pi\)
−0.662596 + 0.748977i \(0.730545\pi\)
\(384\) −11.0562 + 10.8506i −0.564211 + 0.553716i
\(385\) −1.59722 + 0.472938i −0.0814021 + 0.0241032i
\(386\) −5.64576 30.7661i −0.287361 1.56595i
\(387\) −2.45256 0.827544i −0.124671 0.0420664i
\(388\) −46.0344 + 1.15260i −2.33704 + 0.0585145i
\(389\) 3.40973 + 13.6919i 0.172880 + 0.694208i 0.992599 + 0.121441i \(0.0387515\pi\)
−0.819718 + 0.572767i \(0.805870\pi\)
\(390\) −0.794189 1.61576i −0.0402153 0.0818173i
\(391\) 3.06243 3.32229i 0.154874 0.168015i
\(392\) 16.3222 + 3.10093i 0.824396 + 0.156620i
\(393\) −2.08961 + 7.57682i −0.105407 + 0.382200i
\(394\) 34.1753 + 36.1565i 1.72173 + 1.82154i
\(395\) −1.98909 + 0.755456i −0.100082 + 0.0380111i
\(396\) −9.83333 0.369404i −0.494143 0.0185633i
\(397\) 26.9192 7.24308i 1.35104 0.363520i 0.489848 0.871808i \(-0.337052\pi\)
0.861187 + 0.508288i \(0.169722\pi\)
\(398\) −9.10331 + 7.48879i −0.456308 + 0.375379i
\(399\) −5.36213 + 5.53260i −0.268442 + 0.276976i
\(400\) −7.47730 + 1.51775i −0.373865 + 0.0758877i
\(401\) 23.6664 + 17.5594i 1.18184 + 0.876873i 0.994429 0.105408i \(-0.0336148\pi\)
0.187414 + 0.982281i \(0.439989\pi\)
\(402\) 8.32798 3.28282i 0.415362 0.163732i
\(403\) −1.97911 4.59395i −0.0985865 0.228841i
\(404\) 9.07055 + 53.1695i 0.451277 + 2.64528i
\(405\) 0.0728698 + 3.88087i 0.00362093 + 0.192842i
\(406\) 2.75763 + 11.6957i 0.136859 + 0.580450i
\(407\) −2.57141 1.71525i −0.127460 0.0850219i
\(408\) −1.68884 + 1.49909i −0.0836100 + 0.0742158i
\(409\) −19.7240 22.5027i −0.975288 1.11269i −0.993611 0.112856i \(-0.964000\pi\)
0.0183234 0.999832i \(-0.494167\pi\)
\(410\) 4.75401 + 4.66558i 0.234784 + 0.230417i
\(411\) −7.01983 3.72750i −0.346263 0.183864i
\(412\) −0.220093 + 35.1685i −0.0108432 + 1.73263i
\(413\) −1.70336 1.51197i −0.0838168 0.0743993i
\(414\) −8.41586 32.0766i −0.413617 1.57648i
\(415\) 0.651257 0.655345i 0.0319689 0.0321696i
\(416\) −2.04879 3.03018i −0.100450 0.148567i
\(417\) −3.09078 + 1.69112i −0.151356 + 0.0828146i
\(418\) 2.59839 16.4723i 0.127091 0.805686i
\(419\) 18.5132 3.27765i 0.904429 0.160124i 0.297353 0.954768i \(-0.403896\pi\)
0.607076 + 0.794644i \(0.292342\pi\)
\(420\) 1.87428 + 3.58371i 0.0914555 + 0.174867i
\(421\) 13.9683 7.41712i 0.680774 0.361488i −0.0923647 0.995725i \(-0.529443\pi\)
0.773139 + 0.634237i \(0.218686\pi\)
\(422\) −27.6010 8.17266i −1.34360 0.397839i
\(423\) −0.508411 + 4.76077i −0.0247198 + 0.231476i
\(424\) −1.35370 24.0089i −0.0657413 1.16598i
\(425\) 3.23762 0.489966i 0.157048 0.0237669i
\(426\) 0.402552 21.4390i 0.0195037 1.03872i
\(427\) 13.3302 2.87995i 0.645092 0.139371i
\(428\) −10.1555 + 40.7799i −0.490885 + 1.97117i
\(429\) −0.201759 + 0.906349i −0.00974103 + 0.0437589i
\(430\) −1.66339 1.59207i −0.0802156 0.0767763i
\(431\) 2.54288 + 7.38340i 0.122486 + 0.355646i 0.989867 0.142000i \(-0.0453533\pi\)
−0.867380 + 0.497646i \(0.834198\pi\)
\(432\) 1.16554 + 7.38883i 0.0560769 + 0.355495i
\(433\) 16.2899 + 21.1152i 0.782844 + 1.01473i 0.999261 + 0.0384318i \(0.0122362\pi\)
−0.216417 + 0.976301i \(0.569437\pi\)
\(434\) 7.30508 + 15.8525i 0.350655 + 0.760943i
\(435\) 1.32669 1.67588i 0.0636100 0.0803522i
\(436\) −14.8929 + 9.14561i −0.713239 + 0.437995i
\(437\) 35.8353 4.96520i 1.71424 0.237518i
\(438\) −9.89475 13.5120i −0.472789 0.645627i
\(439\) 3.98363 5.58526i 0.190128 0.266570i −0.708087 0.706125i \(-0.750442\pi\)
0.898216 + 0.439555i \(0.144864\pi\)
\(440\) −3.47523 1.78994i −0.165675 0.0853318i
\(441\) −7.64667 + 7.31882i −0.364127 + 0.348515i
\(442\) −1.06794 1.76371i −0.0507966 0.0838910i
\(443\) 12.8943 13.6418i 0.612629 0.648144i −0.344166 0.938909i \(-0.611838\pi\)
0.956794 + 0.290765i \(0.0939098\pi\)
\(444\) −2.88268 + 6.92872i −0.136806 + 0.328822i
\(445\) 1.77879 1.12324i 0.0843226 0.0532467i
\(446\) 26.9337 + 12.6164i 1.27535 + 0.597405i
\(447\) −1.75876 12.1344i −0.0831863 0.573937i
\(448\) 10.8795 + 15.2537i 0.514010 + 0.720669i
\(449\) 1.81508 5.49252i 0.0856589 0.259208i −0.897781 0.440442i \(-0.854822\pi\)
0.983440 + 0.181234i \(0.0580091\pi\)
\(450\) 9.78410 21.9508i 0.461227 1.03477i
\(451\) −0.407513 3.41105i −0.0191890 0.160620i
\(452\) −40.8634 + 10.4483i −1.92205 + 0.491449i
\(453\) 8.41417 + 2.37731i 0.395332 + 0.111696i
\(454\) 7.43750 + 5.81248i 0.349059 + 0.272793i
\(455\) −1.57520 + 0.487943i −0.0738466 + 0.0228751i
\(456\) −18.0680 + 0.678752i −0.846111 + 0.0317855i
\(457\) −18.9778 + 8.03538i −0.887746 + 0.375879i −0.785487 0.618879i \(-0.787587\pi\)
−0.102259 + 0.994758i \(0.532607\pi\)
\(458\) 52.8045 8.66856i 2.46739 0.405055i
\(459\) −0.340894 3.19213i −0.0159116 0.148996i
\(460\) 3.42753 18.6781i 0.159809 0.870869i
\(461\) −0.167198 + 0.301090i −0.00778719 + 0.0140231i −0.878114 0.478451i \(-0.841198\pi\)
0.870327 + 0.492474i \(0.163907\pi\)
\(462\) 0.624647 3.17929i 0.0290612 0.147914i
\(463\) −25.6773 25.8385i −1.19332 1.20082i −0.974338 0.225088i \(-0.927733\pi\)
−0.218986 0.975728i \(-0.570275\pi\)
\(464\) −2.89292 + 4.91550i −0.134301 + 0.228197i
\(465\) 1.40434 2.76902i 0.0651248 0.128410i
\(466\) 32.8735 + 41.5259i 1.52284 + 1.92365i
\(467\) −13.1691 4.81390i −0.609392 0.222761i 0.0200618 0.999799i \(-0.493614\pi\)
−0.629454 + 0.777038i \(0.716721\pi\)
\(468\) −9.73840 0.243829i −0.450158 0.0112710i
\(469\) −1.78157 8.00323i −0.0822654 0.369555i
\(470\) −2.20597 + 3.64317i −0.101754 + 0.168047i
\(471\) 0.982381 + 3.56206i 0.0452657 + 0.164131i
\(472\) −0.434360 5.32722i −0.0199931 0.245205i
\(473\) 0.155613 + 1.17725i 0.00715508 + 0.0541300i
\(474\) 0.490940 4.10937i 0.0225496 0.188750i
\(475\) 22.5115 + 13.4391i 1.03290 + 0.616627i
\(476\) 2.49733 + 3.90054i 0.114465 + 0.178781i
\(477\) 12.9537 + 8.17979i 0.593110 + 0.374527i
\(478\) −27.9598 + 19.6792i −1.27885 + 0.900108i
\(479\) 8.89285 22.1524i 0.406325 1.01217i −0.574714 0.818355i \(-0.694887\pi\)
0.981038 0.193813i \(-0.0620855\pi\)
\(480\) 0.630956 2.18093i 0.0287991 0.0995454i
\(481\) −2.56664 1.66604i −0.117029 0.0759647i
\(482\) 0.909029 + 2.26442i 0.0414051 + 0.103141i
\(483\) 6.99397 0.702659i 0.318237 0.0319721i
\(484\) −14.3463 32.1861i −0.652104 1.46301i
\(485\) 10.0068 5.97396i 0.454388 0.271263i
\(486\) −32.7127 16.3341i −1.48388 0.740929i
\(487\) −9.93528 4.35412i −0.450211 0.197304i 0.163977 0.986464i \(-0.447568\pi\)
−0.614187 + 0.789160i \(0.710516\pi\)
\(488\) 27.2721 + 16.7476i 1.23455 + 0.758128i
\(489\) 0.547580 0.200166i 0.0247624 0.00905180i
\(490\) −8.92140 + 3.01026i −0.403028 + 0.135990i
\(491\) −5.20142 9.36670i −0.234737 0.422713i 0.730947 0.682434i \(-0.239079\pi\)
−0.965684 + 0.259721i \(0.916369\pi\)
\(492\) −7.93542 + 2.56740i −0.357756 + 0.115747i
\(493\) 1.34558 2.04482i 0.0606017 0.0920939i
\(494\) 2.36800 16.3378i 0.106541 0.735072i
\(495\) 2.21404 1.14035i 0.0995135 0.0512550i
\(496\) −2.69783 + 7.83330i −0.121136 + 0.351725i
\(497\) −19.3394 3.42393i −0.867491 0.153584i
\(498\) 0.542480 + 1.71325i 0.0243091 + 0.0767728i
\(499\) −5.92947 + 28.3022i −0.265440 + 1.26698i 0.613366 + 0.789799i \(0.289815\pi\)
−0.878806 + 0.477180i \(0.841659\pi\)
\(500\) 22.9023 19.8221i 1.02422 0.886472i
\(501\) 3.05995 + 3.76746i 0.136708 + 0.168318i
\(502\) 32.1825 1.43637
\(503\) −12.3024 + 18.7524i −0.548537 + 0.836126i
\(504\) 15.1804 0.676190
\(505\) −8.60632 10.5962i −0.382976 0.471526i
\(506\) −11.5036 + 9.95645i −0.511396 + 0.442618i
\(507\) 1.81307 8.65401i 0.0805212 0.384338i
\(508\) 8.34726 + 26.3622i 0.370350 + 1.16963i
\(509\) 9.65509 + 1.70938i 0.427954 + 0.0757667i 0.384144 0.923273i \(-0.374497\pi\)
0.0438100 + 0.999040i \(0.486050\pi\)
\(510\) 0.416734 1.21001i 0.0184533 0.0535802i
\(511\) −13.6371 + 7.02385i −0.603269 + 0.310717i
\(512\) −2.87939 + 19.8661i −0.127252 + 0.877966i
\(513\) 14.1295 21.4720i 0.623831 0.948011i
\(514\) 36.3493 11.7603i 1.60330 0.518726i
\(515\) −4.32120 7.78161i −0.190415 0.342899i
\(516\) 2.73173 0.921741i 0.120258 0.0405774i
\(517\) 2.06301 0.754125i 0.0907310 0.0331664i
\(518\) 9.09888 + 5.58755i 0.399782 + 0.245503i
\(519\) 5.12353 + 2.24538i 0.224898 + 0.0985612i
\(520\) −3.46224 1.72876i −0.151829 0.0758113i
\(521\) −27.8848 + 16.6469i −1.22165 + 0.729312i −0.971073 0.238783i \(-0.923251\pi\)
−0.250582 + 0.968095i \(0.580622\pi\)
\(522\) −7.31406 16.4092i −0.320128 0.718212i
\(523\) −23.8239 + 2.39350i −1.04175 + 0.104660i −0.606044 0.795431i \(-0.707245\pi\)
−0.435701 + 0.900091i \(0.643500\pi\)
\(524\) 14.0930 + 35.1061i 0.615656 + 1.53362i
\(525\) 4.27279 + 2.77351i 0.186480 + 0.121046i
\(526\) 0.907208 3.13581i 0.0395561 0.136728i
\(527\) 1.32462 3.29967i 0.0577014 0.143736i
\(528\) 1.25762 0.885167i 0.0547311 0.0385220i
\(529\) −8.46026 5.34234i −0.367837 0.232276i
\(530\) 7.34824 + 11.4771i 0.319187 + 0.498534i
\(531\) 2.92381 + 1.74547i 0.126882 + 0.0757471i
\(532\) −4.39899 + 36.8214i −0.190720 + 1.59641i
\(533\) −0.445653 3.37149i −0.0193034 0.146035i
\(534\) 0.332539 + 4.07844i 0.0143904 + 0.176491i
\(535\) −2.82777 10.2533i −0.122255 0.443290i
\(536\) 9.96602 16.4589i 0.430466 0.710918i
\(537\) −0.693765 3.11655i −0.0299382 0.134489i
\(538\) 47.2821 + 1.18384i 2.03848 + 0.0510391i
\(539\) 4.56081 + 1.66718i 0.196448 + 0.0718107i
\(540\) −8.37443 10.5786i −0.360378 0.455230i
\(541\) 2.60545 5.13730i 0.112017 0.220870i −0.828985 0.559271i \(-0.811081\pi\)
0.941002 + 0.338401i \(0.109886\pi\)
\(542\) −18.3187 + 31.1262i −0.786854 + 1.33698i
\(543\) −2.49457 2.51023i −0.107052 0.107724i
\(544\) 0.501258 2.55127i 0.0214913 0.109385i
\(545\) 2.14736 3.86696i 0.0919827 0.165642i
\(546\) 0.578934 3.15486i 0.0247761 0.135015i
\(547\) −2.70518 25.3313i −0.115665 1.08309i −0.891771 0.452487i \(-0.850537\pi\)
0.776106 0.630602i \(-0.217192\pi\)
\(548\) −37.7495 + 6.19709i −1.61258 + 0.264726i
\(549\) −18.7757 + 7.94981i −0.801329 + 0.339289i
\(550\) −11.0177 + 0.413897i −0.469796 + 0.0176486i
\(551\) 18.7214 5.79924i 0.797559 0.247056i
\(552\) 12.9972 + 10.1575i 0.553199 + 0.432330i
\(553\) −3.64788 1.03066i −0.155124 0.0438280i
\(554\) −28.4397 + 7.27174i −1.20829 + 0.308947i
\(555\) −0.225303 1.88588i −0.00956358 0.0800511i
\(556\) −6.90364 + 15.4884i −0.292780 + 0.656856i
\(557\) −10.2861 + 31.1263i −0.435837 + 1.31886i 0.465232 + 0.885189i \(0.345971\pi\)
−0.901069 + 0.433676i \(0.857216\pi\)
\(558\) −15.1533 21.2457i −0.641490 0.899401i
\(559\) 0.168625 + 1.16341i 0.00713206 + 0.0492070i
\(560\) 2.47335 + 1.15858i 0.104518 + 0.0489591i
\(561\) −0.558071 + 0.352402i −0.0235618 + 0.0148784i
\(562\) −17.0775 + 41.0469i −0.720369 + 1.73146i
\(563\) −7.27779 + 7.69969i −0.306722 + 0.324503i −0.861754 0.507326i \(-0.830634\pi\)
0.555032 + 0.831829i \(0.312706\pi\)
\(564\) −2.76217 4.56174i −0.116308 0.192084i
\(565\) 7.71170 7.38107i 0.324434 0.310524i
\(566\) −34.0445 17.5348i −1.43100 0.737044i
\(567\) −4.01552 + 5.62997i −0.168636 + 0.236437i
\(568\) −27.2308 37.1856i −1.14258 1.56027i
\(569\) 19.0537 2.64001i 0.798774 0.110675i 0.273793 0.961789i \(-0.411722\pi\)
0.524981 + 0.851114i \(0.324072\pi\)
\(570\) 8.73172 5.36208i 0.365731 0.224593i
\(571\) −23.9206 + 30.2165i −1.00104 + 1.26452i −0.0368511 + 0.999321i \(0.511733\pi\)
−0.964193 + 0.265200i \(0.914562\pi\)
\(572\) 1.87040 + 4.05888i 0.0782053 + 0.169710i
\(573\) −7.43480 9.63708i −0.310593 0.402595i
\(574\) 1.84907 + 11.7220i 0.0771785 + 0.489268i
\(575\) −7.78891 22.6155i −0.324820 0.943133i
\(576\) −20.2364 19.3687i −0.843182 0.807031i
\(577\) 4.33826 19.4885i 0.180604 0.811316i −0.797520 0.603293i \(-0.793855\pi\)
0.978124 0.208023i \(-0.0667028\pi\)
\(578\) −9.37941 + 37.6634i −0.390132 + 1.56659i
\(579\) −9.68905 + 2.09330i −0.402663 + 0.0869944i
\(580\) 0.193134 10.2859i 0.00801947 0.427098i
\(581\) 1.62748 0.246296i 0.0675194 0.0102181i
\(582\) 1.27611 + 22.6329i 0.0528965 + 0.938163i
\(583\) 0.746338 6.98872i 0.0309101 0.289443i
\(584\) −34.5165 10.2203i −1.42830 0.422920i
\(585\) 2.17750 1.15625i 0.0900286 0.0478049i
\(586\) 4.94659 + 9.45811i 0.204342 + 0.390711i
\(587\) 8.60695 1.52381i 0.355247 0.0628943i 0.00615022 0.999981i \(-0.498042\pi\)
0.349097 + 0.937087i \(0.386489\pi\)
\(588\) 1.83701 11.6456i 0.0757569 0.480255i
\(589\) 24.9749 13.6650i 1.02907 0.563056i
\(590\) 1.69662 + 2.50932i 0.0698488 + 0.103307i
\(591\) 11.1136 11.1833i 0.457151 0.460021i
\(592\) 1.28618 + 4.90219i 0.0528615 + 0.201479i
\(593\) −13.2997 11.8054i −0.546154 0.484789i 0.344930 0.938628i \(-0.387903\pi\)
−0.891084 + 0.453839i \(0.850054\pi\)
\(594\) −0.0676459 + 10.8091i −0.00277554 + 0.443503i
\(595\) −1.03528 0.549729i −0.0424423 0.0225367i
\(596\) −42.1191 41.3356i −1.72526 1.69317i
\(597\) 2.46229 + 2.80918i 0.100775 + 0.114972i
\(598\) −11.2638 + 9.99823i −0.460611 + 0.408858i
\(599\) −33.8857 22.6034i −1.38453 0.923550i −1.00000 0.000439144i \(-0.999860\pi\)
−0.384534 0.923111i \(-0.625638\pi\)
\(600\) 2.74336 + 11.6352i 0.111997 + 0.475005i
\(601\) 0.270602 + 14.4116i 0.0110381 + 0.587862i 0.961161 + 0.275987i \(0.0890047\pi\)
−0.950123 + 0.311875i \(0.899043\pi\)
\(602\) −0.689836 4.04366i −0.0281156 0.164807i
\(603\) 4.85005 + 11.2580i 0.197509 + 0.458462i
\(604\) 39.1514 15.4332i 1.59305 0.627966i
\(605\) 7.16235 + 5.31413i 0.291191 + 0.216050i
\(606\) 26.0217 5.28192i 1.05706 0.214563i
\(607\) −17.4753 + 18.0309i −0.709302 + 0.731851i −0.972503 0.232890i \(-0.925182\pi\)
0.263201 + 0.964741i \(0.415222\pi\)
\(608\) 16.0769 13.2256i 0.652005 0.536368i
\(609\) 3.67723 0.989423i 0.149009 0.0400934i
\(610\) −18.1245 0.680874i −0.733838 0.0275678i
\(611\) 2.03279 0.772055i 0.0822379 0.0312340i
\(612\) −4.75651 5.03226i −0.192271 0.203417i
\(613\) −9.75762 + 35.3806i −0.394107 + 1.42901i 0.450094 + 0.892981i \(0.351391\pi\)
−0.844200 + 0.536028i \(0.819924\pi\)
\(614\) −33.8211 6.42539i −1.36491 0.259308i
\(615\) 1.43067 1.55207i 0.0576900 0.0625853i
\(616\) −3.07211 6.25014i −0.123779 0.251825i
\(617\) −8.84832 35.5308i −0.356220 1.43041i −0.833917 0.551890i \(-0.813907\pi\)
0.477697 0.878525i \(-0.341472\pi\)
\(618\) 17.3076 0.433345i 0.696214 0.0174317i
\(619\) 43.6898 + 14.7418i 1.75604 + 0.592523i 0.998203 0.0599199i \(-0.0190845\pi\)
0.757838 + 0.652443i \(0.226256\pi\)
\(620\) −2.69718 14.6981i −0.108321 0.590290i
\(621\) −22.4853 + 6.65789i −0.902303 + 0.267172i
\(622\) −3.64676 + 3.57893i −0.146222 + 0.143502i
\(623\) 3.73742 + 0.281201i 0.149736 + 0.0112661i
\(624\) 1.23393 0.891793i 0.0493968 0.0357003i
\(625\) 4.43783 12.3800i 0.177513 0.495200i
\(626\) −29.0566 50.8160i −1.16134 2.03102i
\(627\) −5.24328 0.659713i −0.209396 0.0263464i
\(628\) 14.1488 + 10.7749i 0.564600 + 0.429967i
\(629\) −0.446011 2.12887i −0.0177836 0.0848835i
\(630\) −7.49492 + 4.22358i −0.298605 + 0.168272i
\(631\) 4.60585 0.288618i 0.183356 0.0114897i 0.0294018 0.999568i \(-0.490640\pi\)
0.153954 + 0.988078i \(0.450799\pi\)
\(632\) −4.51196 7.66649i −0.179476 0.304957i
\(633\) −2.31500 + 8.82352i −0.0920131 + 0.350703i
\(634\) −13.9323 + 9.29350i −0.553322 + 0.369092i
\(635\) −5.11601 4.77541i −0.203023 0.189506i
\(636\) −16.9986 + 1.49314i −0.674037 + 0.0592068i
\(637\) 4.53532 + 1.59381i 0.179696 + 0.0631489i
\(638\) −5.27590 + 6.33215i −0.208875 + 0.250692i
\(639\) 29.3612 0.367513i 1.16151 0.0145386i
\(640\) −6.81024 17.5985i −0.269198 0.695641i
\(641\) −7.39449 + 15.0440i −0.292065 + 0.594200i −0.992877 0.119146i \(-0.961984\pi\)
0.700812 + 0.713346i \(0.252821\pi\)
\(642\) 20.2216 + 4.36883i 0.798083 + 0.172424i
\(643\) −5.97460 + 25.3396i −0.235615 + 0.999298i 0.717468 + 0.696591i \(0.245301\pi\)
−0.953084 + 0.302707i \(0.902110\pi\)
\(644\) 24.7319 23.0854i 0.974573 0.909691i
\(645\) −0.487788 + 0.542654i −0.0192067 + 0.0213670i
\(646\) 9.42398 6.99215i 0.370781 0.275103i
\(647\) −10.5982 + 17.0185i −0.416657 + 0.669065i −0.988487 0.151307i \(-0.951652\pi\)
0.571830 + 0.820372i \(0.306234\pi\)
\(648\) −15.9430 + 3.02889i −0.626302 + 0.118986i
\(649\) 0.126954 1.55704i 0.00498340 0.0611190i
\(650\) −10.9011 + 0.546222i −0.427576 + 0.0214246i
\(651\) 4.94877 2.47102i 0.193957 0.0968468i
\(652\) 1.51307 2.36324i 0.0592562 0.0925515i
\(653\) −24.9044 + 11.6658i −0.974583 + 0.456520i −0.844835 0.535027i \(-0.820301\pi\)
−0.129748 + 0.991547i \(0.541417\pi\)
\(654\) 4.72935 + 7.18699i 0.184932 + 0.281034i
\(655\) −7.46932 5.98943i −0.291850 0.234026i
\(656\) −3.21309 + 4.62633i −0.125450 + 0.180628i
\(657\) 18.0702 14.1220i 0.704985 0.550952i
\(658\) −7.02367 + 2.87075i −0.273811 + 0.111913i
\(659\) 10.4307 + 9.49480i 0.406323 + 0.369865i 0.850412 0.526118i \(-0.176353\pi\)
−0.444089 + 0.895983i \(0.646472\pi\)
\(660\) −1.19238 + 2.50458i −0.0464134 + 0.0974908i
\(661\) 26.0023 23.6692i 1.01137 0.920625i 0.0145185 0.999895i \(-0.495378\pi\)
0.996853 + 0.0792700i \(0.0252589\pi\)
\(662\) −3.70384 12.2271i −0.143954 0.475221i
\(663\) −0.548058 + 0.355750i −0.0212848 + 0.0138162i
\(664\) 3.15877 + 2.22327i 0.122584 + 0.0862796i
\(665\) −3.60516 8.66527i −0.139802 0.336025i
\(666\) −14.9236 5.66801i −0.578279 0.219631i
\(667\) −16.4656 6.97167i −0.637550 0.269944i
\(668\) 22.7031 + 5.50315i 0.878409 + 0.212923i
\(669\) 3.72916 8.65620i 0.144178 0.334668i
\(670\) −0.341148 + 10.8989i −0.0131797 + 0.421063i
\(671\) 7.07282 + 6.12159i 0.273043 + 0.236321i
\(672\) 3.21794 2.45060i 0.124135 0.0945340i
\(673\) 11.4950 6.66862i 0.443098 0.257057i −0.263517 0.964655i \(-0.584883\pi\)
0.706615 + 0.707598i \(0.250221\pi\)
\(674\) 25.4200 7.18206i 0.979142 0.276643i
\(675\) −15.7311 6.42969i −0.605489 0.247479i
\(676\) −18.2931 38.4244i −0.703580 1.47786i
\(677\) −6.29686 + 20.7872i −0.242008 + 0.798918i 0.748700 + 0.662909i \(0.230679\pi\)
−0.990708 + 0.136009i \(0.956572\pi\)
\(678\) 5.77032 + 19.9454i 0.221608 + 0.765999i
\(679\) 20.6592 + 2.07555i 0.792826 + 0.0796524i
\(680\) −0.863124 2.61186i −0.0330993 0.100160i
\(681\) 1.76734 2.41342i 0.0677245 0.0924825i
\(682\) −5.68074 + 10.5385i −0.217527 + 0.403540i
\(683\) −0.808525 + 18.4447i −0.0309373 + 0.705766i 0.919173 + 0.393853i \(0.128858\pi\)
−0.950111 + 0.311913i \(0.899030\pi\)
\(684\) −3.81360 55.3108i −0.145817 2.11486i
\(685\) 7.55334 6.05680i 0.288598 0.231419i
\(686\) −41.6739 13.4830i −1.59112 0.514784i
\(687\) −3.26925 16.6396i −0.124730 0.634842i
\(688\) 1.09057 1.61297i 0.0415778 0.0614939i
\(689\) 0.652193 6.92725i 0.0248466 0.263907i
\(690\) −9.24308 1.39881i −0.351878 0.0532516i
\(691\) −2.21150 + 12.9633i −0.0841292 + 0.493147i 0.912357 + 0.409395i \(0.134260\pi\)
−0.996487 + 0.0837520i \(0.973310\pi\)
\(692\) 26.1664 6.34264i 0.994696 0.241111i
\(693\) 4.37832 + 0.718759i 0.166319 + 0.0273034i
\(694\) 0.712573 12.6381i 0.0270489 0.479735i
\(695\) −0.402281 4.27281i −0.0152594 0.162077i
\(696\) 7.83959 + 4.28943i 0.297159 + 0.162590i
\(697\) 1.47660 1.91399i 0.0559302 0.0724975i
\(698\) −23.7201 5.43628i −0.897821 0.205766i
\(699\) 12.8272 10.8242i 0.485169 0.409410i
\(700\) 24.4488 1.83951i 0.924078 0.0695270i
\(701\) −22.7799 + 25.9891i −0.860383 + 0.981595i −0.999963 0.00861575i \(-0.997257\pi\)
0.139580 + 0.990211i \(0.455425\pi\)
\(702\) 0.0669666 + 10.7006i 0.00252749 + 0.403867i
\(703\) 8.07102 15.4322i 0.304404 0.582035i
\(704\) −3.87928 + 12.2515i −0.146206 + 0.461746i
\(705\) 1.17583 + 0.662609i 0.0442842 + 0.0249553i
\(706\) 30.7846 + 14.8930i 1.15860 + 0.560504i
\(707\) −1.06506 24.2969i −0.0400556 0.913778i
\(708\) −3.76876 + 0.426343i −0.141639 + 0.0160229i
\(709\) 3.74785 + 3.08315i 0.140754 + 0.115790i 0.703033 0.711157i \(-0.251829\pi\)
−0.562280 + 0.826947i \(0.690076\pi\)
\(710\) 23.7904 + 10.7830i 0.892839 + 0.404680i
\(711\) 5.64561 + 0.495905i 0.211727 + 0.0185979i
\(712\) 5.87985 + 6.54121i 0.220357 + 0.245142i
\(713\) −25.4538 5.16665i −0.953252 0.193493i
\(714\) 1.88075 1.28885i 0.0703853 0.0482341i
\(715\) −0.916721 0.662537i −0.0342834 0.0247775i
\(716\) −11.7445 9.91064i −0.438914 0.370378i
\(717\) 6.51051 + 8.66102i 0.243139 + 0.323452i
\(718\) 33.1884 4.17579i 1.23858 0.155839i
\(719\) 37.3463 + 21.6659i 1.39278 + 0.808003i 0.994035 0.109058i \(-0.0347834\pi\)
0.398748 + 0.917060i \(0.369445\pi\)
\(720\) −3.95617 1.01155i −0.147438 0.0376982i
\(721\) 2.07803 15.7209i 0.0773900 0.585476i
\(722\) 48.8765 + 2.44906i 1.81899 + 0.0911445i
\(723\) 0.708232 0.310381i 0.0263394 0.0115432i
\(724\) −16.8720 2.33772i −0.627044 0.0868806i
\(725\) −6.14860 11.4065i −0.228353 0.423625i
\(726\) −15.6158 + 7.55461i −0.579558 + 0.280378i
\(727\) 36.5274 + 2.28893i 1.35473 + 0.0848918i 0.723295 0.690539i \(-0.242627\pi\)
0.631433 + 0.775431i \(0.282467\pi\)
\(728\) −3.11846 6.14884i −0.115578 0.227891i
\(729\) 0.478915 1.03927i 0.0177376 0.0384916i
\(730\) 19.8851 4.55735i 0.735981 0.168675i
\(731\) −0.502099 + 0.667950i −0.0185708 + 0.0247050i
\(732\) 11.2730 19.7149i 0.416662 0.728683i
\(733\) 20.5279 + 24.0198i 0.758214 + 0.887192i 0.996465 0.0840112i \(-0.0267732\pi\)
−0.238251 + 0.971204i \(0.576574\pi\)
\(734\) 39.3780 + 47.2617i 1.45347 + 1.74446i
\(735\) 1.04194 + 2.79597i 0.0384324 + 0.103131i
\(736\) −18.9912 0.237712i −0.700024 0.00876217i
\(737\) 3.65368 4.27520i 0.134585 0.157479i
\(738\) −5.98689 16.7014i −0.220381 0.614785i
\(739\) 32.3805 + 22.1899i 1.19114 + 0.816270i 0.986691 0.162608i \(-0.0519905\pi\)
0.204446 + 0.978878i \(0.434461\pi\)
\(740\) −6.36204 6.56430i −0.233873 0.241308i
\(741\) −5.19840 0.588072i −0.190968 0.0216034i
\(742\) −1.67005 + 24.2217i −0.0613095 + 0.889206i
\(743\) −4.56690 6.57559i −0.167543 0.241235i 0.728663 0.684872i \(-0.240142\pi\)
−0.896206 + 0.443637i \(0.853688\pi\)
\(744\) 12.3993 + 3.84088i 0.454582 + 0.140814i
\(745\) 14.4228 + 3.88070i 0.528409 + 0.142178i
\(746\) 21.8298 9.89436i 0.799244 0.362258i
\(747\) −2.32172 + 0.815903i −0.0849475 + 0.0298523i
\(748\) −1.10931 + 2.97676i −0.0405604 + 0.108841i
\(749\) 6.83867 17.6720i 0.249880 0.645719i
\(750\) −10.1059 10.9635i −0.369017 0.400329i
\(751\) 15.8562 + 25.4619i 0.578602 + 0.929116i 0.999755 + 0.0221268i \(0.00704374\pi\)
−0.421153 + 0.906989i \(0.638375\pi\)
\(752\) −3.35058 1.32077i −0.122183 0.0481635i
\(753\) −0.319071 10.1936i −0.0116276 0.371477i
\(754\) −5.14406 + 6.33345i −0.187336 + 0.230651i
\(755\) −6.71485 + 8.26743i −0.244378 + 0.300883i
\(756\) −0.752020 24.0255i −0.0273507 0.873798i
\(757\) 16.2624 + 6.41049i 0.591066 + 0.232993i 0.643265 0.765643i \(-0.277579\pi\)
−0.0521992 + 0.998637i \(0.516623\pi\)
\(758\) 27.6992 + 44.4793i 1.00608 + 1.61556i
\(759\) 3.26771 + 3.54499i 0.118610 + 0.128675i
\(760\) 7.94867 20.5403i 0.288329 0.745076i
\(761\) −5.34547 + 14.3442i −0.193773 + 0.519978i −0.997146 0.0754987i \(-0.975945\pi\)
0.803373 + 0.595477i \(0.203037\pi\)
\(762\) 12.8426 4.51317i 0.465239 0.163495i
\(763\) 7.17738 3.25315i 0.259838 0.117772i
\(764\) −56.5712 15.2215i −2.04667 0.550693i
\(765\) 1.67402 + 0.518553i 0.0605243 + 0.0187483i
\(766\) 31.9811 + 46.0476i 1.15552 + 1.66377i
\(767\) 0.106378 1.54285i 0.00384108 0.0557092i
\(768\) 19.3143 + 2.18495i 0.696946 + 0.0788424i
\(769\) −18.5313 19.1205i −0.668257 0.689501i 0.295784 0.955255i \(-0.404419\pi\)
−0.964041 + 0.265754i \(0.914379\pi\)
\(770\) 3.25572 + 2.23110i 0.117328 + 0.0804032i
\(771\) −4.08541 11.3969i −0.147132 0.410448i
\(772\) −30.9966 + 36.2693i −1.11559 + 1.30536i