Properties

Label 441.2.y.a.25.13
Level $441$
Weight $2$
Character 441.25
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 25.13
Character \(\chi\) \(=\) 441.25
Dual form 441.2.y.a.247.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.395139 + 1.73122i) q^{2} +(1.72082 + 0.196905i) q^{3} +(-1.03904 - 0.500374i) q^{4} +(1.06496 + 2.71348i) q^{5} +(-1.02085 + 2.90131i) q^{6} +(-2.62846 + 0.301952i) q^{7} +(-0.937490 + 1.17557i) q^{8} +(2.92246 + 0.677677i) q^{9} +O(q^{10})\) \(q+(-0.395139 + 1.73122i) q^{2} +(1.72082 + 0.196905i) q^{3} +(-1.03904 - 0.500374i) q^{4} +(1.06496 + 2.71348i) q^{5} +(-1.02085 + 2.90131i) q^{6} +(-2.62846 + 0.301952i) q^{7} +(-0.937490 + 1.17557i) q^{8} +(2.92246 + 0.677677i) q^{9} +(-5.11842 + 0.771478i) q^{10} +(2.00819 - 0.619445i) q^{11} +(-1.68947 - 1.06565i) q^{12} +(-2.86681 + 0.884293i) q^{13} +(0.515863 - 4.66975i) q^{14} +(1.29831 + 4.87910i) q^{15} +(-3.10281 - 3.89080i) q^{16} +(0.544970 - 7.27212i) q^{17} +(-2.32798 + 4.79163i) q^{18} +(1.41450 + 2.44999i) q^{19} +(0.251219 - 3.35228i) q^{20} +(-4.58258 + 0.00204876i) q^{21} +(0.278879 + 3.72138i) q^{22} +(2.87882 - 1.96275i) q^{23} +(-1.84473 + 1.83836i) q^{24} +(-2.56355 + 2.37863i) q^{25} +(-0.398116 - 5.31248i) q^{26} +(4.89559 + 1.74161i) q^{27} +(2.88216 + 1.00147i) q^{28} +(-0.501431 + 6.69113i) q^{29} +(-8.95980 + 0.319734i) q^{30} +3.87857 q^{31} +(5.25243 - 2.52944i) q^{32} +(3.57771 - 0.670532i) q^{33} +(12.3743 + 3.81696i) q^{34} +(-3.61855 - 6.81071i) q^{35} +(-2.69745 - 2.16645i) q^{36} +(-1.73285 - 1.18144i) q^{37} +(-4.80038 + 1.48072i) q^{38} +(-5.10739 + 0.957223i) q^{39} +(-4.18828 - 1.29191i) q^{40} +(2.66475 + 0.401646i) q^{41} +(1.80721 - 7.93424i) q^{42} +(-4.80302 + 0.723939i) q^{43} +(-2.39654 - 0.361220i) q^{44} +(1.27344 + 8.65171i) q^{45} +(2.26041 + 5.75942i) q^{46} +(-2.41172 + 10.5664i) q^{47} +(-4.57326 - 7.30633i) q^{48} +(6.81765 - 1.58734i) q^{49} +(-3.10496 - 5.37794i) q^{50} +(2.36971 - 12.4067i) q^{51} +(3.42120 + 0.515662i) q^{52} +(11.3051 - 7.70771i) q^{53} +(-4.94954 + 7.78715i) q^{54} +(3.81950 + 4.78950i) q^{55} +(2.10919 - 3.37303i) q^{56} +(1.95169 + 4.49452i) q^{57} +(-11.3857 - 3.51201i) q^{58} +(-8.56526 - 10.7405i) q^{59} +(1.09238 - 5.71921i) q^{60} +(1.85868 - 0.895091i) q^{61} +(-1.53257 + 6.71464i) q^{62} +(-7.88620 - 0.898806i) q^{63} +(0.0888034 + 0.389073i) q^{64} +(-5.45255 - 6.83728i) q^{65} +(-0.252857 + 6.45875i) q^{66} -3.75456 q^{67} +(-4.20502 + 7.28331i) q^{68} +(5.34041 - 2.81068i) q^{69} +(13.2206 - 3.57332i) q^{70} +(7.34653 + 3.53790i) q^{71} +(-3.53643 + 2.80025i) q^{72} +(-1.80464 - 0.556658i) q^{73} +(2.73004 - 2.53311i) q^{74} +(-4.87977 + 3.58842i) q^{75} +(-0.243809 - 3.25341i) q^{76} +(-5.09142 + 2.23457i) q^{77} +(0.360968 - 9.22023i) q^{78} -6.64739 q^{79} +(7.25322 - 12.5629i) q^{80} +(8.08151 + 3.96096i) q^{81} +(-1.74828 + 4.45455i) q^{82} +(-3.28876 - 1.01445i) q^{83} +(4.76249 + 2.29087i) q^{84} +(20.3131 - 6.26576i) q^{85} +(0.644565 - 8.60113i) q^{86} +(-2.18039 + 11.4155i) q^{87} +(-1.15446 + 2.94150i) q^{88} +(0.866852 - 0.804321i) q^{89} +(-15.4812 - 1.21402i) q^{90} +(7.26829 - 3.18997i) q^{91} +(-3.97331 + 0.598880i) q^{92} +(6.67433 + 0.763709i) q^{93} +(-17.3398 - 8.35040i) q^{94} +(-5.14159 + 6.44736i) q^{95} +(9.53655 - 3.31848i) q^{96} +(-1.86990 + 3.23877i) q^{97} +(0.0541151 + 12.4300i) q^{98} +(6.28864 - 0.449397i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 5 q^{2} - 13 q^{3} - 109 q^{4} - 12 q^{5} + 2 q^{6} - 7 q^{7} - 16 q^{8} - 3 q^{9} - 22 q^{10} - 8 q^{11} - 64 q^{12} - 4 q^{13} - 26 q^{14} - 4 q^{15} - 97 q^{16} - 37 q^{17} - q^{18} - 14 q^{19} - 11 q^{20} - 33 q^{21} - q^{22} + 31 q^{23} - 20 q^{24} + 38 q^{25} - 44 q^{26} - 49 q^{27} - 22 q^{28} + 73 q^{29} - 12 q^{30} - 20 q^{31} - q^{32} - 43 q^{33} - 7 q^{34} - 32 q^{35} + 20 q^{36} - 39 q^{37} - 40 q^{38} + q^{39} - q^{40} - 17 q^{41} + 82 q^{42} - q^{43} - 31 q^{44} - 177 q^{45} + 56 q^{46} + 5 q^{47} - 23 q^{48} - q^{49} - 21 q^{50} - 18 q^{51} - 48 q^{52} + 50 q^{53} - 15 q^{54} + 20 q^{55} + 127 q^{56} + 33 q^{57} - 82 q^{58} + 53 q^{59} + 43 q^{60} + 42 q^{61} - 30 q^{62} + 57 q^{63} - 88 q^{64} - 11 q^{65} - 90 q^{66} - 26 q^{67} + 145 q^{68} + 64 q^{69} - 46 q^{70} - 19 q^{71} - 46 q^{72} - 40 q^{73} + 18 q^{74} - 114 q^{75} + 43 q^{76} + 7 q^{77} - 129 q^{78} - 26 q^{79} + 163 q^{80} + 85 q^{81} - 28 q^{82} - 221 q^{83} - 113 q^{84} - 10 q^{85} - 18 q^{86} + 37 q^{87} - 4 q^{88} - 104 q^{89} - 60 q^{90} - 49 q^{91} + 119 q^{92} - 149 q^{93} - 13 q^{94} + 37 q^{95} + 186 q^{96} - 11 q^{97} - 33 q^{98} + 62 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{8}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.395139 + 1.73122i −0.279405 + 1.22415i 0.619142 + 0.785279i \(0.287480\pi\)
−0.898548 + 0.438876i \(0.855377\pi\)
\(3\) 1.72082 + 0.196905i 0.993517 + 0.113683i
\(4\) −1.03904 0.500374i −0.519518 0.250187i
\(5\) 1.06496 + 2.71348i 0.476265 + 1.21350i 0.944092 + 0.329683i \(0.106942\pi\)
−0.467827 + 0.883820i \(0.654963\pi\)
\(6\) −1.02085 + 2.90131i −0.416760 + 1.18445i
\(7\) −2.62846 + 0.301952i −0.993466 + 0.114127i
\(8\) −0.937490 + 1.17557i −0.331453 + 0.415629i
\(9\) 2.92246 + 0.677677i 0.974152 + 0.225892i
\(10\) −5.11842 + 0.771478i −1.61859 + 0.243963i
\(11\) 2.00819 0.619445i 0.605493 0.186770i 0.0231756 0.999731i \(-0.492622\pi\)
0.582317 + 0.812962i \(0.302146\pi\)
\(12\) −1.68947 1.06565i −0.487708 0.307625i
\(13\) −2.86681 + 0.884293i −0.795110 + 0.245259i −0.665590 0.746318i \(-0.731820\pi\)
−0.129520 + 0.991577i \(0.541344\pi\)
\(14\) 0.515863 4.66975i 0.137870 1.24804i
\(15\) 1.29831 + 4.87910i 0.335222 + 1.25978i
\(16\) −3.10281 3.89080i −0.775702 0.972699i
\(17\) 0.544970 7.27212i 0.132175 1.76375i −0.399439 0.916760i \(-0.630795\pi\)
0.531613 0.846987i \(-0.321586\pi\)
\(18\) −2.32798 + 4.79163i −0.548710 + 1.12940i
\(19\) 1.41450 + 2.44999i 0.324509 + 0.562066i 0.981413 0.191908i \(-0.0614677\pi\)
−0.656904 + 0.753974i \(0.728134\pi\)
\(20\) 0.251219 3.35228i 0.0561742 0.749592i
\(21\) −4.58258 + 0.00204876i −1.00000 + 0.000447076i
\(22\) 0.278879 + 3.72138i 0.0594572 + 0.793401i
\(23\) 2.87882 1.96275i 0.600276 0.409261i −0.224701 0.974428i \(-0.572141\pi\)
0.824977 + 0.565167i \(0.191188\pi\)
\(24\) −1.84473 + 1.83836i −0.376554 + 0.375253i
\(25\) −2.56355 + 2.37863i −0.512710 + 0.475725i
\(26\) −0.398116 5.31248i −0.0780769 1.04186i
\(27\) 4.89559 + 1.74161i 0.942157 + 0.335172i
\(28\) 2.88216 + 1.00147i 0.544677 + 0.189261i
\(29\) −0.501431 + 6.69113i −0.0931134 + 1.24251i 0.733480 + 0.679711i \(0.237895\pi\)
−0.826593 + 0.562800i \(0.809724\pi\)
\(30\) −8.95980 + 0.319734i −1.63583 + 0.0583751i
\(31\) 3.87857 0.696611 0.348306 0.937381i \(-0.386757\pi\)
0.348306 + 0.937381i \(0.386757\pi\)
\(32\) 5.25243 2.52944i 0.928507 0.447145i
\(33\) 3.57771 0.670532i 0.622800 0.116725i
\(34\) 12.3743 + 3.81696i 2.12217 + 0.654602i
\(35\) −3.61855 6.81071i −0.611647 1.15122i
\(36\) −2.69745 2.16645i −0.449575 0.361075i
\(37\) −1.73285 1.18144i −0.284879 0.194227i 0.412446 0.910982i \(-0.364674\pi\)
−0.697326 + 0.716754i \(0.745627\pi\)
\(38\) −4.80038 + 1.48072i −0.778725 + 0.240205i
\(39\) −5.10739 + 0.957223i −0.817837 + 0.153278i
\(40\) −4.18828 1.29191i −0.662226 0.204270i
\(41\) 2.66475 + 0.401646i 0.416164 + 0.0627266i 0.353787 0.935326i \(-0.384894\pi\)
0.0623770 + 0.998053i \(0.480132\pi\)
\(42\) 1.80721 7.93424i 0.278858 1.22428i
\(43\) −4.80302 + 0.723939i −0.732454 + 0.110400i −0.504671 0.863312i \(-0.668386\pi\)
−0.227784 + 0.973712i \(0.573148\pi\)
\(44\) −2.39654 0.361220i −0.361292 0.0544560i
\(45\) 1.27344 + 8.65171i 0.189834 + 1.28972i
\(46\) 2.26041 + 5.75942i 0.333279 + 0.849180i
\(47\) −2.41172 + 10.5664i −0.351785 + 1.54127i 0.421273 + 0.906934i \(0.361584\pi\)
−0.773057 + 0.634336i \(0.781274\pi\)
\(48\) −4.57326 7.30633i −0.660093 1.05458i
\(49\) 6.81765 1.58734i 0.973950 0.226763i
\(50\) −3.10496 5.37794i −0.439107 0.760556i
\(51\) 2.36971 12.4067i 0.331826 1.73729i
\(52\) 3.42120 + 0.515662i 0.474435 + 0.0715095i
\(53\) 11.3051 7.70771i 1.55288 1.05874i 0.583828 0.811877i \(-0.301554\pi\)
0.969052 0.246858i \(-0.0793981\pi\)
\(54\) −4.94954 + 7.78715i −0.673547 + 1.05970i
\(55\) 3.81950 + 4.78950i 0.515021 + 0.645816i
\(56\) 2.10919 3.37303i 0.281852 0.450741i
\(57\) 1.95169 + 4.49452i 0.258508 + 0.595313i
\(58\) −11.3857 3.51201i −1.49501 0.461150i
\(59\) −8.56526 10.7405i −1.11510 1.39829i −0.907486 0.420082i \(-0.862001\pi\)
−0.207615 0.978211i \(-0.566570\pi\)
\(60\) 1.09238 5.71921i 0.141026 0.738347i
\(61\) 1.85868 0.895091i 0.237979 0.114605i −0.311094 0.950379i \(-0.600695\pi\)
0.549073 + 0.835775i \(0.314981\pi\)
\(62\) −1.53257 + 6.71464i −0.194637 + 0.852760i
\(63\) −7.88620 0.898806i −0.993568 0.113239i
\(64\) 0.0888034 + 0.389073i 0.0111004 + 0.0486341i
\(65\) −5.45255 6.83728i −0.676305 0.848060i
\(66\) −0.252857 + 6.45875i −0.0311246 + 0.795017i
\(67\) −3.75456 −0.458692 −0.229346 0.973345i \(-0.573659\pi\)
−0.229346 + 0.973345i \(0.573659\pi\)
\(68\) −4.20502 + 7.28331i −0.509934 + 0.883231i
\(69\) 5.34041 2.81068i 0.642910 0.338367i
\(70\) 13.2206 3.57332i 1.58017 0.427094i
\(71\) 7.34653 + 3.53790i 0.871873 + 0.419872i 0.815649 0.578546i \(-0.196380\pi\)
0.0562233 + 0.998418i \(0.482094\pi\)
\(72\) −3.53643 + 2.80025i −0.416773 + 0.330013i
\(73\) −1.80464 0.556658i −0.211217 0.0651519i 0.187341 0.982295i \(-0.440013\pi\)
−0.398558 + 0.917143i \(0.630489\pi\)
\(74\) 2.73004 2.53311i 0.317361 0.294468i
\(75\) −4.87977 + 3.58842i −0.563468 + 0.414355i
\(76\) −0.243809 3.25341i −0.0279668 0.373191i
\(77\) −5.09142 + 2.23457i −0.580221 + 0.254653i
\(78\) 0.360968 9.22023i 0.0408716 1.04399i
\(79\) −6.64739 −0.747890 −0.373945 0.927451i \(-0.621995\pi\)
−0.373945 + 0.927451i \(0.621995\pi\)
\(80\) 7.25322 12.5629i 0.810934 1.40458i
\(81\) 8.08151 + 3.96096i 0.897945 + 0.440107i
\(82\) −1.74828 + 4.45455i −0.193066 + 0.491923i
\(83\) −3.28876 1.01445i −0.360988 0.111350i 0.108955 0.994047i \(-0.465250\pi\)
−0.469944 + 0.882696i \(0.655726\pi\)
\(84\) 4.76249 + 2.29087i 0.519630 + 0.249955i
\(85\) 20.3131 6.26576i 2.20326 0.679617i
\(86\) 0.644565 8.60113i 0.0695053 0.927484i
\(87\) −2.18039 + 11.4155i −0.233762 + 1.22387i
\(88\) −1.15446 + 2.94150i −0.123065 + 0.313565i
\(89\) 0.866852 0.804321i 0.0918861 0.0852578i −0.632893 0.774240i \(-0.718133\pi\)
0.724779 + 0.688982i \(0.241942\pi\)
\(90\) −15.4812 1.21402i −1.63186 0.127969i
\(91\) 7.26829 3.18997i 0.761924 0.334400i
\(92\) −3.97331 + 0.598880i −0.414246 + 0.0624375i
\(93\) 6.67433 + 0.763709i 0.692095 + 0.0791930i
\(94\) −17.3398 8.35040i −1.78846 0.861278i
\(95\) −5.14159 + 6.44736i −0.527516 + 0.661485i
\(96\) 9.53655 3.31848i 0.973320 0.338691i
\(97\) −1.86990 + 3.23877i −0.189860 + 0.328847i −0.945203 0.326482i \(-0.894137\pi\)
0.755343 + 0.655329i \(0.227470\pi\)
\(98\) 0.0541151 + 12.4300i 0.00546645 + 1.25562i
\(99\) 6.28864 0.449397i 0.632032 0.0451661i
\(100\) 3.85382 1.18875i 0.385382 0.118875i
\(101\) 17.3585 + 2.61637i 1.72723 + 0.260339i 0.936209 0.351444i \(-0.114309\pi\)
0.791026 + 0.611783i \(0.209547\pi\)
\(102\) 20.5423 + 9.00486i 2.03399 + 0.891614i
\(103\) −0.0650331 0.165702i −0.00640790 0.0163271i 0.927634 0.373491i \(-0.121839\pi\)
−0.934042 + 0.357163i \(0.883744\pi\)
\(104\) 1.64805 4.19916i 0.161605 0.411762i
\(105\) −4.88582 12.4325i −0.476807 1.21329i
\(106\) 8.87661 + 22.6172i 0.862173 + 2.19678i
\(107\) 4.92618 4.57082i 0.476231 0.441878i −0.405173 0.914240i \(-0.632789\pi\)
0.881405 + 0.472362i \(0.156598\pi\)
\(108\) −4.21524 4.25922i −0.405612 0.409844i
\(109\) 5.89015 + 5.46526i 0.564174 + 0.523477i 0.909883 0.414865i \(-0.136171\pi\)
−0.345709 + 0.938342i \(0.612362\pi\)
\(110\) −9.80088 + 4.71986i −0.934478 + 0.450021i
\(111\) −2.74930 2.37425i −0.260952 0.225354i
\(112\) 9.33045 + 9.28992i 0.881645 + 0.877815i
\(113\) 3.69311 3.42671i 0.347419 0.322357i −0.487091 0.873351i \(-0.661942\pi\)
0.834509 + 0.550994i \(0.185751\pi\)
\(114\) −8.55217 + 1.60284i −0.800984 + 0.150120i
\(115\) 8.39170 + 5.72136i 0.782530 + 0.533520i
\(116\) 3.86907 6.70143i 0.359234 0.622212i
\(117\) −8.97739 + 0.641540i −0.829960 + 0.0593104i
\(118\) 21.9786 10.5843i 2.02329 0.974366i
\(119\) 0.763400 + 19.2791i 0.0699807 + 1.76731i
\(120\) −6.95291 3.04785i −0.634711 0.278229i
\(121\) −5.43950 + 3.70859i −0.494500 + 0.337144i
\(122\) 0.815161 + 3.57145i 0.0738012 + 0.323344i
\(123\) 4.50647 + 1.21586i 0.406335 + 0.109631i
\(124\) −4.02997 1.94073i −0.361902 0.174283i
\(125\) 3.94710 + 1.90082i 0.353039 + 0.170015i
\(126\) 4.67217 13.2976i 0.416230 1.18464i
\(127\) 3.85318 1.85560i 0.341915 0.164658i −0.255044 0.966929i \(-0.582090\pi\)
0.596959 + 0.802272i \(0.296376\pi\)
\(128\) 10.9508 0.967927
\(129\) −8.40770 + 0.300032i −0.740256 + 0.0264163i
\(130\) 13.9913 6.73786i 1.22712 0.590950i
\(131\) −5.79549 + 0.873529i −0.506354 + 0.0763206i −0.397251 0.917710i \(-0.630036\pi\)
−0.109103 + 0.994030i \(0.534798\pi\)
\(132\) −4.05289 1.09349i −0.352759 0.0951758i
\(133\) −4.45775 6.01259i −0.386536 0.521358i
\(134\) 1.48357 6.49995i 0.128161 0.561510i
\(135\) 0.487802 + 15.1388i 0.0419833 + 1.30294i
\(136\) 8.03801 + 7.45819i 0.689254 + 0.639534i
\(137\) 3.67645 9.36744i 0.314100 0.800314i −0.683426 0.730020i \(-0.739511\pi\)
0.997526 0.0702947i \(-0.0223940\pi\)
\(138\) 2.75570 + 10.3560i 0.234581 + 0.881563i
\(139\) −16.4375 2.47756i −1.39421 0.210144i −0.591401 0.806378i \(-0.701425\pi\)
−0.802811 + 0.596234i \(0.796663\pi\)
\(140\) 0.351910 + 8.88720i 0.0297418 + 0.751106i
\(141\) −6.23071 + 17.7080i −0.524721 + 1.49129i
\(142\) −9.02777 + 11.3205i −0.757594 + 0.949993i
\(143\) −5.20933 + 3.55166i −0.435626 + 0.297005i
\(144\) −6.43112 13.4734i −0.535926 1.12278i
\(145\) −18.6902 + 5.76517i −1.55214 + 0.478771i
\(146\) 1.67678 2.90426i 0.138771 0.240359i
\(147\) 12.0445 1.38910i 0.993415 0.114571i
\(148\) 1.20934 + 2.09463i 0.0994069 + 0.172178i
\(149\) 14.7620 + 13.6972i 1.20935 + 1.12212i 0.989188 + 0.146653i \(0.0468500\pi\)
0.220165 + 0.975463i \(0.429341\pi\)
\(150\) −4.28414 9.86587i −0.349798 0.805545i
\(151\) −1.02247 13.6439i −0.0832071 1.11032i −0.869983 0.493082i \(-0.835870\pi\)
0.786776 0.617239i \(-0.211749\pi\)
\(152\) −4.20622 0.633986i −0.341170 0.0514231i
\(153\) 6.52079 20.8831i 0.527175 1.68830i
\(154\) −1.85670 9.69731i −0.149617 0.781432i
\(155\) 4.13052 + 10.5244i 0.331772 + 0.845340i
\(156\) 5.78573 + 1.56101i 0.463229 + 0.124981i
\(157\) −10.0258 12.5719i −0.800142 1.00335i −0.999725 0.0234654i \(-0.992530\pi\)
0.199583 0.979881i \(-0.436041\pi\)
\(158\) 2.62664 11.5081i 0.208964 0.915533i
\(159\) 20.9718 11.0376i 1.66317 0.875335i
\(160\) 12.4572 + 11.5586i 0.984827 + 0.913786i
\(161\) −6.97422 + 6.02828i −0.549646 + 0.475095i
\(162\) −10.0506 + 12.4257i −0.789650 + 0.976256i
\(163\) 6.06438 15.4518i 0.474999 1.21028i −0.469843 0.882750i \(-0.655689\pi\)
0.944842 0.327527i \(-0.106215\pi\)
\(164\) −2.56780 1.75070i −0.200511 0.136706i
\(165\) 5.62960 + 8.99395i 0.438264 + 0.700178i
\(166\) 3.05575 5.29271i 0.237172 0.410794i
\(167\) −16.6678 11.3639i −1.28980 0.879368i −0.292750 0.956189i \(-0.594570\pi\)
−0.997045 + 0.0768214i \(0.975523\pi\)
\(168\) 4.29371 5.38908i 0.331267 0.415777i
\(169\) −3.30449 + 2.25296i −0.254191 + 0.173305i
\(170\) 2.82089 + 37.6422i 0.216352 + 2.88702i
\(171\) 2.47352 + 8.11856i 0.189155 + 0.620842i
\(172\) 5.35276 + 1.65111i 0.408144 + 0.125896i
\(173\) −19.6886 9.48151i −1.49689 0.720866i −0.506904 0.862003i \(-0.669210\pi\)
−0.989990 + 0.141137i \(0.954924\pi\)
\(174\) −18.9012 8.28544i −1.43289 0.628117i
\(175\) 6.01997 7.02620i 0.455067 0.531131i
\(176\) −8.64117 5.89145i −0.651353 0.444085i
\(177\) −12.6244 20.1690i −0.948910 1.51600i
\(178\) 1.04993 + 1.81853i 0.0786953 + 0.136304i
\(179\) −1.45563 + 19.4240i −0.108799 + 1.45182i 0.629318 + 0.777148i \(0.283334\pi\)
−0.738117 + 0.674673i \(0.764285\pi\)
\(180\) 3.00594 9.62665i 0.224049 0.717528i
\(181\) −2.93077 12.8405i −0.217842 0.954429i −0.959069 0.283174i \(-0.908613\pi\)
0.741226 0.671255i \(-0.234245\pi\)
\(182\) 2.65055 + 13.8435i 0.196472 + 1.02615i
\(183\) 3.37470 1.17431i 0.249465 0.0868075i
\(184\) −0.391509 + 5.22433i −0.0288624 + 0.385142i
\(185\) 1.36039 5.96024i 0.100018 0.438206i
\(186\) −3.95943 + 11.2529i −0.290320 + 0.825105i
\(187\) −3.41027 14.9414i −0.249384 1.09262i
\(188\) 7.79302 9.77213i 0.568364 0.712706i
\(189\) −13.3938 3.09952i −0.974253 0.225457i
\(190\) −9.13012 11.4488i −0.662369 0.830584i
\(191\) 12.0622 15.1255i 0.872791 1.09445i −0.122002 0.992530i \(-0.538931\pi\)
0.994793 0.101916i \(-0.0324973\pi\)
\(192\) 0.0762044 + 0.687011i 0.00549958 + 0.0495808i
\(193\) 2.07360 2.60021i 0.149261 0.187168i −0.701580 0.712591i \(-0.747522\pi\)
0.850841 + 0.525423i \(0.176093\pi\)
\(194\) −4.86814 4.51697i −0.349512 0.324300i
\(195\) −8.03657 12.8394i −0.575511 0.919447i
\(196\) −7.87805 1.76207i −0.562718 0.125862i
\(197\) −3.96339 −0.282380 −0.141190 0.989983i \(-0.545093\pi\)
−0.141190 + 0.989983i \(0.545093\pi\)
\(198\) −1.70688 + 11.0646i −0.121303 + 0.786325i
\(199\) −4.20527 10.7148i −0.298103 0.759555i −0.998931 0.0462244i \(-0.985281\pi\)
0.700828 0.713331i \(-0.252814\pi\)
\(200\) −0.392952 5.24358i −0.0277859 0.370777i
\(201\) −6.46092 0.739291i −0.455718 0.0521456i
\(202\) −11.3885 + 29.0175i −0.801293 + 2.04166i
\(203\) −0.702410 17.7388i −0.0492995 1.24502i
\(204\) −8.67021 + 11.7053i −0.607036 + 0.819534i
\(205\) 1.74800 + 7.65847i 0.122085 + 0.534891i
\(206\) 0.312562 0.0471112i 0.0217773 0.00328239i
\(207\) 9.74334 3.78513i 0.677209 0.263085i
\(208\) 12.3358 + 8.41038i 0.855331 + 0.583155i
\(209\) 4.35822 + 4.04384i 0.301465 + 0.279718i
\(210\) 23.4540 3.54584i 1.61848 0.244686i
\(211\) 17.4476 16.1890i 1.20114 1.11450i 0.210557 0.977582i \(-0.432472\pi\)
0.990583 0.136914i \(-0.0437183\pi\)
\(212\) −15.6032 + 2.35180i −1.07163 + 0.161522i
\(213\) 11.9454 + 7.53467i 0.818488 + 0.516267i
\(214\) 5.96656 + 10.3344i 0.407866 + 0.706444i
\(215\) −7.07942 12.2619i −0.482813 0.836256i
\(216\) −6.63696 + 4.12239i −0.451588 + 0.280493i
\(217\) −10.1947 + 1.17114i −0.692060 + 0.0795024i
\(218\) −11.7890 + 8.03758i −0.798450 + 0.544374i
\(219\) −2.99586 1.31325i −0.202441 0.0887413i
\(220\) −1.57206 6.88764i −0.105988 0.464364i
\(221\) 4.86836 + 21.3297i 0.327481 + 1.43479i
\(222\) 5.19670 3.82147i 0.348780 0.256481i
\(223\) −21.2891 + 14.5147i −1.42562 + 0.971974i −0.427950 + 0.903803i \(0.640764\pi\)
−0.997674 + 0.0681711i \(0.978284\pi\)
\(224\) −13.0420 + 8.23451i −0.871408 + 0.550192i
\(225\) −9.10380 + 5.21417i −0.606920 + 0.347612i
\(226\) 4.47308 + 7.74760i 0.297545 + 0.515362i
\(227\) 1.67919 + 2.90844i 0.111452 + 0.193040i 0.916356 0.400365i \(-0.131117\pi\)
−0.804904 + 0.593405i \(0.797783\pi\)
\(228\) 0.221060 5.64654i 0.0146400 0.373951i
\(229\) −7.40882 + 1.11670i −0.489589 + 0.0737936i −0.389197 0.921154i \(-0.627248\pi\)
−0.100391 + 0.994948i \(0.532010\pi\)
\(230\) −13.2208 + 12.2671i −0.871754 + 0.808869i
\(231\) −9.20142 + 2.84277i −0.605409 + 0.187040i
\(232\) −7.39584 6.86234i −0.485561 0.450534i
\(233\) 0.253810 + 0.173044i 0.0166276 + 0.0113365i 0.571605 0.820529i \(-0.306321\pi\)
−0.554978 + 0.831865i \(0.687273\pi\)
\(234\) 2.43667 15.7953i 0.159290 1.03257i
\(235\) −31.2401 + 4.70869i −2.03788 + 0.307161i
\(236\) 3.52536 + 15.4456i 0.229481 + 1.00542i
\(237\) −11.4390 1.30890i −0.743041 0.0850225i
\(238\) −33.6779 6.29629i −2.18301 0.408128i
\(239\) −7.99445 + 20.3695i −0.517118 + 1.31760i 0.399097 + 0.916909i \(0.369324\pi\)
−0.916215 + 0.400687i \(0.868772\pi\)
\(240\) 14.9552 20.1904i 0.965354 1.30328i
\(241\) −0.178764 2.38544i −0.0115152 0.153660i −0.999997 0.00232192i \(-0.999261\pi\)
0.988482 0.151338i \(-0.0483581\pi\)
\(242\) −4.27101 10.8824i −0.274551 0.699545i
\(243\) 13.1269 + 8.40740i 0.842091 + 0.539335i
\(244\) −2.37911 −0.152307
\(245\) 11.5677 + 16.8091i 0.739036 + 1.07389i
\(246\) −3.88561 + 7.32124i −0.247737 + 0.466786i
\(247\) −6.22161 5.77281i −0.395872 0.367315i
\(248\) −3.63612 + 4.55955i −0.230894 + 0.289532i
\(249\) −5.45962 2.39326i −0.345990 0.151667i
\(250\) −4.85038 + 6.08219i −0.306765 + 0.384671i
\(251\) −10.6175 13.3139i −0.670168 0.840364i 0.324240 0.945975i \(-0.394891\pi\)
−0.994407 + 0.105611i \(0.966320\pi\)
\(252\) 7.74431 + 4.87994i 0.487846 + 0.307407i
\(253\) 4.56541 5.72485i 0.287025 0.359918i
\(254\) 1.68989 + 7.40391i 0.106033 + 0.464563i
\(255\) 36.1890 6.78250i 2.26624 0.424737i
\(256\) −4.50471 + 19.7364i −0.281544 + 1.23353i
\(257\) −1.54750 + 20.6499i −0.0965304 + 1.28811i 0.713056 + 0.701107i \(0.247311\pi\)
−0.809586 + 0.587001i \(0.800308\pi\)
\(258\) 2.80279 14.6741i 0.174494 0.913569i
\(259\) 4.91148 + 2.58213i 0.305185 + 0.160446i
\(260\) 2.24420 + 9.83249i 0.139180 + 0.609785i
\(261\) −5.99983 + 19.2147i −0.371380 + 1.18936i
\(262\) 0.777754 10.3784i 0.0480498 0.641180i
\(263\) −12.4980 21.6472i −0.770661 1.33482i −0.937201 0.348789i \(-0.886593\pi\)
0.166540 0.986035i \(-0.446740\pi\)
\(264\) −2.56581 + 4.83449i −0.157915 + 0.297542i
\(265\) 32.9542 + 22.4678i 2.02436 + 1.38019i
\(266\) 12.1705 5.34151i 0.746223 0.327509i
\(267\) 1.65007 1.21341i 0.100983 0.0742592i
\(268\) 3.90112 + 1.87868i 0.238299 + 0.114759i
\(269\) 12.2211 + 3.76970i 0.745132 + 0.229843i 0.643995 0.765030i \(-0.277276\pi\)
0.101137 + 0.994872i \(0.467752\pi\)
\(270\) −26.4013 5.13744i −1.60673 0.312655i
\(271\) 1.17458 + 15.6736i 0.0713504 + 0.952105i 0.911911 + 0.410387i \(0.134607\pi\)
−0.840561 + 0.541717i \(0.817774\pi\)
\(272\) −29.9853 + 20.4436i −1.81812 + 1.23958i
\(273\) 13.1356 4.05821i 0.795000 0.245614i
\(274\) 14.7644 + 10.0662i 0.891947 + 0.608119i
\(275\) −3.67467 + 6.36472i −0.221591 + 0.383807i
\(276\) −6.95528 + 0.248202i −0.418659 + 0.0149400i
\(277\) −17.0356 11.6147i −1.02357 0.697859i −0.0695436 0.997579i \(-0.522154\pi\)
−0.954027 + 0.299720i \(0.903107\pi\)
\(278\) 10.7843 27.4779i 0.646798 1.64802i
\(279\) 11.3349 + 2.62842i 0.678606 + 0.157359i
\(280\) 11.3989 + 2.13109i 0.681212 + 0.127357i
\(281\) −3.49665 3.24442i −0.208593 0.193546i 0.568957 0.822367i \(-0.307347\pi\)
−0.777550 + 0.628822i \(0.783538\pi\)
\(282\) −28.1944 17.7838i −1.67896 1.05901i
\(283\) 2.11337 9.25927i 0.125627 0.550406i −0.872466 0.488675i \(-0.837481\pi\)
0.998093 0.0617317i \(-0.0196623\pi\)
\(284\) −5.86304 7.35202i −0.347907 0.436262i
\(285\) −10.1173 + 10.0823i −0.599296 + 0.597227i
\(286\) −4.09029 10.4219i −0.241864 0.616259i
\(287\) −7.12548 0.251086i −0.420604 0.0148211i
\(288\) 17.0641 3.83272i 1.00551 0.225845i
\(289\) −35.7766 5.39245i −2.10450 0.317203i
\(290\) −2.59552 34.6349i −0.152414 2.03383i
\(291\) −3.85550 + 5.20515i −0.226013 + 0.305131i
\(292\) 1.59655 + 1.48138i 0.0934310 + 0.0866913i
\(293\) −1.22661 2.12455i −0.0716592 0.124117i 0.827969 0.560773i \(-0.189496\pi\)
−0.899629 + 0.436656i \(0.856163\pi\)
\(294\) −2.35442 + 21.4006i −0.137312 + 1.24811i
\(295\) 20.0224 34.6798i 1.16575 2.01914i
\(296\) 3.01340 0.929512i 0.175150 0.0540268i
\(297\) 10.9101 + 0.464932i 0.633069 + 0.0269781i
\(298\) −29.5458 + 20.1440i −1.71154 + 1.16691i
\(299\) −6.51739 + 8.17254i −0.376910 + 0.472630i
\(300\) 6.86581 1.28679i 0.396398 0.0742926i
\(301\) 12.4060 3.35313i 0.715069 0.193271i
\(302\) 24.0245 + 3.62111i 1.38245 + 0.208371i
\(303\) 29.3557 + 7.92028i 1.68644 + 0.455008i
\(304\) 5.14348 13.1054i 0.294999 0.751645i
\(305\) 4.40822 + 4.09023i 0.252414 + 0.234206i
\(306\) 33.5766 + 19.5406i 1.91945 + 1.11706i
\(307\) 0.363300 1.59172i 0.0207346 0.0908443i −0.963502 0.267701i \(-0.913736\pi\)
0.984237 + 0.176857i \(0.0565931\pi\)
\(308\) 6.40829 + 0.225814i 0.365146 + 0.0128669i
\(309\) −0.0792829 0.297948i −0.00451025 0.0169497i
\(310\) −19.8521 + 2.99223i −1.12753 + 0.169947i
\(311\) −26.3879 + 12.7078i −1.49632 + 0.720591i −0.989910 0.141701i \(-0.954743\pi\)
−0.506413 + 0.862291i \(0.669029\pi\)
\(312\) 3.66284 6.90151i 0.207367 0.390721i
\(313\) 19.0661 1.07768 0.538840 0.842408i \(-0.318863\pi\)
0.538840 + 0.842408i \(0.318863\pi\)
\(314\) 25.7262 12.3891i 1.45182 0.699157i
\(315\) −5.95960 22.3562i −0.335786 1.25963i
\(316\) 6.90688 + 3.32618i 0.388543 + 0.187112i
\(317\) 14.4412 + 6.95449i 0.811096 + 0.390603i 0.792991 0.609233i \(-0.208523\pi\)
0.0181045 + 0.999836i \(0.494237\pi\)
\(318\) 10.8216 + 40.6681i 0.606847 + 2.28055i
\(319\) 3.13782 + 13.7477i 0.175684 + 0.769723i
\(320\) −0.961168 + 0.655313i −0.0537309 + 0.0366331i
\(321\) 9.37709 6.89559i 0.523378 0.384874i
\(322\) −7.68047 14.4559i −0.428016 0.805595i
\(323\) 18.5875 8.95125i 1.03423 0.498061i
\(324\) −6.41502 8.15936i −0.356390 0.453298i
\(325\) 5.24580 9.08600i 0.290985 0.504000i
\(326\) 24.3541 + 16.6043i 1.34885 + 0.919630i
\(327\) 9.05976 + 10.5645i 0.501006 + 0.584220i
\(328\) −2.97034 + 2.75607i −0.164010 + 0.152179i
\(329\) 3.14855 28.5017i 0.173585 1.57135i
\(330\) −17.7949 + 6.19219i −0.979579 + 0.340869i
\(331\) 9.29461 4.47605i 0.510878 0.246026i −0.160641 0.987013i \(-0.551356\pi\)
0.671519 + 0.740987i \(0.265642\pi\)
\(332\) 2.90954 + 2.69966i 0.159682 + 0.148163i
\(333\) −4.26356 4.62702i −0.233641 0.253559i
\(334\) 26.2595 24.3653i 1.43686 1.33321i
\(335\) −3.99846 10.1879i −0.218459 0.556624i
\(336\) 14.2268 + 17.8235i 0.776137 + 0.972352i
\(337\) −1.64991 + 4.20390i −0.0898763 + 0.229001i −0.968743 0.248066i \(-0.920205\pi\)
0.878867 + 0.477067i \(0.158300\pi\)
\(338\) −2.59463 6.61101i −0.141129 0.359592i
\(339\) 7.02992 5.16956i 0.381813 0.280772i
\(340\) −24.2413 3.65378i −1.31467 0.198154i
\(341\) 7.78891 2.40256i 0.421793 0.130106i
\(342\) −15.0324 + 1.07424i −0.812857 + 0.0580882i
\(343\) −17.4406 + 6.23088i −0.941706 + 0.336436i
\(344\) 3.65174 6.32500i 0.196889 0.341021i
\(345\) 13.3141 + 11.4978i 0.716805 + 0.619021i
\(346\) 24.1943 30.3386i 1.30069 1.63102i
\(347\) 8.42723 + 4.05834i 0.452397 + 0.217863i 0.646186 0.763180i \(-0.276363\pi\)
−0.193788 + 0.981043i \(0.562077\pi\)
\(348\) 7.97753 10.7701i 0.427640 0.577339i
\(349\) 5.20259 0.784164i 0.278488 0.0419753i −0.00831307 0.999965i \(-0.502646\pi\)
0.286801 + 0.957990i \(0.407408\pi\)
\(350\) 9.78515 + 13.1982i 0.523038 + 0.705473i
\(351\) −15.5748 0.663717i −0.831322 0.0354266i
\(352\) 8.98104 8.33318i 0.478691 0.444160i
\(353\) 5.23837 13.3471i 0.278810 0.710397i −0.721037 0.692897i \(-0.756334\pi\)
0.999847 0.0174999i \(-0.00557069\pi\)
\(354\) 39.9053 13.8860i 2.12094 0.738035i
\(355\) −1.77625 + 23.7024i −0.0942734 + 1.25799i
\(356\) −1.30315 + 0.401969i −0.0690669 + 0.0213043i
\(357\) −2.48247 + 33.3261i −0.131386 + 1.76381i
\(358\) −33.0520 10.1952i −1.74685 0.538833i
\(359\) −6.03332 + 15.3727i −0.318427 + 0.811338i 0.678616 + 0.734493i \(0.262580\pi\)
−0.997043 + 0.0768449i \(0.975515\pi\)
\(360\) −11.3646 6.61387i −0.598966 0.348581i
\(361\) 5.49837 9.52346i 0.289388 0.501235i
\(362\) 23.3878 1.22924
\(363\) −10.0907 + 5.31076i −0.529622 + 0.278742i
\(364\) −9.14820 0.322362i −0.479496 0.0168963i
\(365\) −0.411394 5.48967i −0.0215333 0.287342i
\(366\) 0.699510 + 6.30635i 0.0365640 + 0.329638i
\(367\) −27.9162 + 25.9024i −1.45721 + 1.35210i −0.653810 + 0.756658i \(0.726831\pi\)
−0.803402 + 0.595437i \(0.796979\pi\)
\(368\) −16.5691 5.11088i −0.863723 0.266423i
\(369\) 7.51543 + 2.97963i 0.391238 + 0.155114i
\(370\) 9.78093 + 4.71025i 0.508486 + 0.244874i
\(371\) −27.3878 + 23.6731i −1.42190 + 1.22904i
\(372\) −6.55273 4.13318i −0.339743 0.214295i
\(373\) −5.97245 + 10.3446i −0.309242 + 0.535622i −0.978197 0.207681i \(-0.933409\pi\)
0.668955 + 0.743303i \(0.266742\pi\)
\(374\) 27.2143 1.40722
\(375\) 6.41797 + 4.04818i 0.331422 + 0.209047i
\(376\) −10.1607 12.7411i −0.523996 0.657070i
\(377\) −4.47942 19.6256i −0.230702 1.01077i
\(378\) 10.6583 21.9628i 0.548205 1.12964i
\(379\) −1.31980 + 5.78241i −0.0677935 + 0.297023i −0.997447 0.0714128i \(-0.977249\pi\)
0.929653 + 0.368435i \(0.120106\pi\)
\(380\) 8.56839 4.12632i 0.439549 0.211676i
\(381\) 6.99602 2.43444i 0.358417 0.124720i
\(382\) 21.4193 + 26.8590i 1.09591 + 1.37423i
\(383\) −16.8402 5.19451i −0.860494 0.265427i −0.167059 0.985947i \(-0.553427\pi\)
−0.693434 + 0.720520i \(0.743903\pi\)
\(384\) 18.8445 + 2.15628i 0.961652 + 0.110037i
\(385\) −11.4856 11.4357i −0.585361 0.582818i
\(386\) 3.68217 + 4.61730i 0.187418 + 0.235014i
\(387\) −14.5272 1.13922i −0.738460 0.0579096i
\(388\) 3.56349 2.42955i 0.180909 0.123342i
\(389\) 19.4203 + 2.92715i 0.984651 + 0.148412i 0.621581 0.783350i \(-0.286491\pi\)
0.363070 + 0.931762i \(0.381729\pi\)
\(390\) 25.4033 8.83970i 1.28635 0.447616i
\(391\) −12.7045 22.0048i −0.642492 1.11283i
\(392\) −4.52544 + 9.50278i −0.228569 + 0.479963i
\(393\) −10.1450 + 0.362028i −0.511748 + 0.0182619i
\(394\) 1.56609 6.86148i 0.0788983 0.345676i
\(395\) −7.07921 18.0375i −0.356194 0.907567i
\(396\) −6.75899 2.67973i −0.339652 0.134662i
\(397\) −15.0557 2.26928i −0.755623 0.113892i −0.240077 0.970754i \(-0.577173\pi\)
−0.515546 + 0.856862i \(0.672411\pi\)
\(398\) 20.2114 3.04637i 1.01310 0.152701i
\(399\) −6.48708 11.2244i −0.324760 0.561921i
\(400\) 17.2089 + 2.59383i 0.860447 + 0.129692i
\(401\) −5.27475 1.62705i −0.263409 0.0812508i 0.160238 0.987078i \(-0.448774\pi\)
−0.423646 + 0.905828i \(0.639250\pi\)
\(402\) 3.83283 10.8931i 0.191164 0.543300i
\(403\) −11.1191 + 3.42979i −0.553882 + 0.170850i
\(404\) −16.7269 11.4042i −0.832197 0.567382i
\(405\) −2.14149 + 26.1472i −0.106411 + 1.29927i
\(406\) 30.9873 + 5.79327i 1.53787 + 0.287515i
\(407\) −4.21174 1.29915i −0.208768 0.0643965i
\(408\) 12.3634 + 14.4169i 0.612081 + 0.713745i
\(409\) −23.7211 + 11.4235i −1.17293 + 0.564854i −0.915844 0.401534i \(-0.868477\pi\)
−0.257088 + 0.966388i \(0.582763\pi\)
\(410\) −13.9492 −0.688900
\(411\) 8.17101 15.3958i 0.403046 0.759418i
\(412\) −0.0153410 + 0.204711i −0.000755795 + 0.0100854i
\(413\) 25.7566 + 25.6447i 1.26740 + 1.26189i
\(414\) 2.70291 + 18.3635i 0.132841 + 0.902516i
\(415\) −0.749720 10.0043i −0.0368023 0.491093i
\(416\) −12.8209 + 11.8961i −0.628598 + 0.583254i
\(417\) −27.7982 7.50006i −1.36128 0.367280i
\(418\) −8.72287 + 5.94715i −0.426649 + 0.290885i
\(419\) −0.423203 5.64726i −0.0206748 0.275887i −0.997954 0.0639317i \(-0.979636\pi\)
0.977279 0.211955i \(-0.0679830\pi\)
\(420\) −1.14436 + 15.3626i −0.0558391 + 0.749617i
\(421\) 0.690375 9.21241i 0.0336468 0.448985i −0.954783 0.297305i \(-0.903912\pi\)
0.988430 0.151681i \(-0.0484686\pi\)
\(422\) 21.1324 + 36.6024i 1.02871 + 1.78178i
\(423\) −14.2087 + 29.2455i −0.690853 + 1.42197i
\(424\) −1.53746 + 20.5159i −0.0746655 + 0.996342i
\(425\) 15.9006 + 19.9387i 0.771292 + 0.967169i
\(426\) −17.7642 + 17.7029i −0.860681 + 0.857708i
\(427\) −4.61519 + 2.91395i −0.223345 + 0.141016i
\(428\) −7.40560 + 2.28432i −0.357963 + 0.110417i
\(429\) −9.66368 + 5.08604i −0.466567 + 0.245556i
\(430\) 24.0254 7.41085i 1.15861 0.357383i
\(431\) 2.07270 0.312409i 0.0998384 0.0150482i −0.0989330 0.995094i \(-0.531543\pi\)
0.198771 + 0.980046i \(0.436305\pi\)
\(432\) −8.41383 24.4516i −0.404811 1.17643i
\(433\) −9.17136 + 11.5005i −0.440747 + 0.552680i −0.951740 0.306905i \(-0.900707\pi\)
0.510993 + 0.859585i \(0.329278\pi\)
\(434\) 2.00081 18.1120i 0.0960420 0.869402i
\(435\) −33.2977 + 6.24063i −1.59650 + 0.299216i
\(436\) −3.38541 8.62588i −0.162132 0.413105i
\(437\) 8.88080 + 4.27677i 0.424826 + 0.204586i
\(438\) 3.45730 4.66756i 0.165196 0.223024i
\(439\) 5.01187 21.9584i 0.239204 1.04802i −0.702528 0.711656i \(-0.747946\pi\)
0.941732 0.336364i \(-0.109197\pi\)
\(440\) −9.21115 −0.439124
\(441\) 21.0000 0.0187772i 1.00000 0.000894151i
\(442\) −38.8500 −1.84790
\(443\) −4.49691 + 19.7023i −0.213655 + 0.936082i 0.748405 + 0.663242i \(0.230820\pi\)
−0.962059 + 0.272840i \(0.912037\pi\)
\(444\) 1.66861 + 3.84262i 0.0791887 + 0.182362i
\(445\) 3.10567 + 1.49561i 0.147223 + 0.0708988i
\(446\) −16.7159 42.5913i −0.791519 2.01676i
\(447\) 22.7058 + 26.4771i 1.07395 + 1.25232i
\(448\) −0.350898 0.995850i −0.0165784 0.0470495i
\(449\) 10.9455 13.7253i 0.516552 0.647736i −0.453321 0.891347i \(-0.649761\pi\)
0.969873 + 0.243612i \(0.0783323\pi\)
\(450\) −5.42960 17.8210i −0.255954 0.840089i
\(451\) 5.60013 0.844084i 0.263700 0.0397463i
\(452\) −5.55191 + 1.71254i −0.261140 + 0.0805510i
\(453\) 0.927062 23.6800i 0.0435572 1.11258i
\(454\) −5.69864 + 1.75780i −0.267451 + 0.0824976i
\(455\) 16.3964 + 16.3251i 0.768673 + 0.765334i
\(456\) −7.11333 1.91920i −0.333112 0.0898750i
\(457\) −4.00665 5.02418i −0.187423 0.235021i 0.679239 0.733918i \(-0.262310\pi\)
−0.866662 + 0.498897i \(0.833739\pi\)
\(458\) 0.994264 13.2675i 0.0464589 0.619951i
\(459\) 15.3331 34.6522i 0.715689 1.61743i
\(460\) −5.85646 10.1437i −0.273059 0.472952i
\(461\) 0.719150 9.59639i 0.0334941 0.446948i −0.955094 0.296304i \(-0.904246\pi\)
0.988588 0.150645i \(-0.0481350\pi\)
\(462\) −1.28561 17.0529i −0.0598119 0.793375i
\(463\) −1.37777 18.3851i −0.0640306 0.854429i −0.933072 0.359689i \(-0.882883\pi\)
0.869041 0.494739i \(-0.164736\pi\)
\(464\) 27.5897 18.8103i 1.28082 0.873247i
\(465\) 5.03559 + 18.9239i 0.233520 + 0.877577i
\(466\) −0.399867 + 0.371023i −0.0185235 + 0.0171873i
\(467\) 0.775509 + 10.3485i 0.0358863 + 0.478869i 0.985975 + 0.166891i \(0.0533727\pi\)
−0.950089 + 0.311979i \(0.899008\pi\)
\(468\) 9.64885 + 3.82547i 0.446018 + 0.176832i
\(469\) 9.86872 1.13370i 0.455695 0.0523493i
\(470\) 4.19242 55.9439i 0.193382 2.58050i
\(471\) −14.7771 23.6081i −0.680891 1.08780i
\(472\) 20.6561 0.950774
\(473\) −9.19696 + 4.42902i −0.422877 + 0.203647i
\(474\) 6.78598 19.2861i 0.311690 0.885842i
\(475\) −9.45375 2.91609i −0.433768 0.133800i
\(476\) 8.85353 20.4136i 0.405801 0.935657i
\(477\) 38.2621 14.8642i 1.75190 0.680586i
\(478\) −32.1051 21.8889i −1.46846 1.00118i
\(479\) −34.1139 + 10.5228i −1.55870 + 0.480797i −0.949908 0.312529i \(-0.898824\pi\)
−0.608797 + 0.793326i \(0.708348\pi\)
\(480\) 19.1607 + 22.3431i 0.874561 + 1.01982i
\(481\) 6.01250 + 1.85461i 0.274146 + 0.0845630i
\(482\) 4.20035 + 0.633101i 0.191321 + 0.0288370i
\(483\) −13.1884 + 9.00033i −0.600093 + 0.409529i
\(484\) 7.50752 1.13158i 0.341251 0.0514353i
\(485\) −10.7797 1.62478i −0.489481 0.0737773i
\(486\) −19.7420 + 19.4034i −0.895514 + 0.880157i
\(487\) 10.4751 + 26.6901i 0.474672 + 1.20944i 0.945034 + 0.326971i \(0.106028\pi\)
−0.470362 + 0.882473i \(0.655877\pi\)
\(488\) −0.690243 + 3.02415i −0.0312458 + 0.136897i
\(489\) 13.4782 25.3957i 0.609507 1.14843i
\(490\) −33.6710 + 13.3843i −1.52110 + 0.604643i
\(491\) −2.96706 5.13910i −0.133902 0.231925i 0.791276 0.611460i \(-0.209417\pi\)
−0.925177 + 0.379535i \(0.876084\pi\)
\(492\) −4.07401 3.51825i −0.183670 0.158615i
\(493\) 48.3854 + 7.29293i 2.17917 + 0.328457i
\(494\) 12.4524 8.48989i 0.560259 0.381978i
\(495\) 7.91658 + 16.5855i 0.355824 + 0.745462i
\(496\) −12.0344 15.0907i −0.540363 0.677593i
\(497\) −20.3784 7.08095i −0.914095 0.317624i
\(498\) 6.30056 8.50612i 0.282335 0.381168i
\(499\) 8.17895 + 2.52287i 0.366140 + 0.112939i 0.472365 0.881403i \(-0.343400\pi\)
−0.106225 + 0.994342i \(0.533876\pi\)
\(500\) −3.15006 3.95005i −0.140875 0.176651i
\(501\) −26.4448 22.8373i −1.18146 1.02029i
\(502\) 27.2445 13.1203i 1.21598 0.585587i
\(503\) 3.71650 16.2830i 0.165710 0.726025i −0.821969 0.569533i \(-0.807124\pi\)
0.987679 0.156492i \(-0.0500186\pi\)
\(504\) 8.44985 8.42820i 0.376386 0.375422i
\(505\) 11.3866 + 49.8882i 0.506699 + 2.21999i
\(506\) 8.10698 + 10.1658i 0.360399 + 0.451926i
\(507\) −6.13005 + 3.22627i −0.272245 + 0.143284i
\(508\) −4.93209 −0.218826
\(509\) 9.64796 16.7108i 0.427638 0.740691i −0.569025 0.822321i \(-0.692679\pi\)
0.996663 + 0.0816294i \(0.0260124\pi\)
\(510\) −2.55768 + 65.3309i −0.113256 + 2.89290i
\(511\) 4.91152 + 0.918240i 0.217273 + 0.0406205i
\(512\) −12.6553 6.09447i −0.559290 0.269340i
\(513\) 2.65790 + 14.4576i 0.117349 + 0.638321i
\(514\) −35.1380 10.8386i −1.54987 0.478072i
\(515\) 0.380370 0.352931i 0.0167611 0.0155520i
\(516\) 8.88603 + 3.89525i 0.391186 + 0.171479i
\(517\) 1.70213 + 22.7133i 0.0748595 + 0.998931i
\(518\) −6.41095 + 7.48254i −0.281681 + 0.328764i
\(519\) −32.0136 20.1928i −1.40524 0.886364i
\(520\) 13.1494 0.576641
\(521\) −19.2245 + 33.2978i −0.842240 + 1.45880i 0.0457564 + 0.998953i \(0.485430\pi\)
−0.887997 + 0.459850i \(0.847903\pi\)
\(522\) −30.8941 17.9795i −1.35220 0.786941i
\(523\) −11.0922 + 28.2626i −0.485030 + 1.23584i 0.453691 + 0.891159i \(0.350107\pi\)
−0.938721 + 0.344677i \(0.887988\pi\)
\(524\) 6.45882 + 1.99228i 0.282155 + 0.0870332i
\(525\) 11.7428 10.9055i 0.512497 0.475954i
\(526\) 42.4144 13.0831i 1.84936 0.570451i
\(527\) 2.11370 28.2054i 0.0920743 1.22865i
\(528\) −13.7099 11.8396i −0.596645 0.515254i
\(529\) −3.96761 + 10.1093i −0.172505 + 0.439535i
\(530\) −51.9181 + 48.1730i −2.25518 + 2.09250i
\(531\) −17.7530 37.1931i −0.770415 1.61404i
\(532\) 1.62322 + 8.47784i 0.0703754 + 0.367561i
\(533\) −7.99450 + 1.20498i −0.346280 + 0.0521934i
\(534\) 1.44866 + 3.33610i 0.0626896 + 0.144367i
\(535\) 17.6490 + 8.49931i 0.763033 + 0.367457i
\(536\) 3.51986 4.41376i 0.152035 0.190646i
\(537\) −6.32957 + 33.1387i −0.273141 + 1.43004i
\(538\) −11.3552 + 19.6678i −0.489557 + 0.847938i
\(539\) 12.7079 7.41085i 0.547367 0.319208i
\(540\) 7.06822 15.9739i 0.304168 0.687406i
\(541\) 37.1587 11.4619i 1.59758 0.492787i 0.637014 0.770852i \(-0.280169\pi\)
0.960562 + 0.278065i \(0.0896932\pi\)
\(542\) −27.5985 4.15981i −1.18546 0.178679i
\(543\) −2.51496 22.6734i −0.107927 0.973007i
\(544\) −15.5319 39.5747i −0.665926 1.69675i
\(545\) −8.55707 + 21.8031i −0.366545 + 0.933940i
\(546\) 1.83528 + 24.3440i 0.0785427 + 1.04183i
\(547\) −9.03226 23.0138i −0.386191 0.984000i −0.983325 0.181858i \(-0.941789\pi\)
0.597134 0.802142i \(-0.296306\pi\)
\(548\) −8.50719 + 7.89352i −0.363409 + 0.337194i
\(549\) 6.03848 1.35628i 0.257716 0.0578848i
\(550\) −9.56670 8.87660i −0.407925 0.378499i
\(551\) −17.1025 + 8.23611i −0.728589 + 0.350870i
\(552\) −1.70241 + 8.91304i −0.0724595 + 0.379364i
\(553\) 17.4724 2.00720i 0.743003 0.0853547i
\(554\) 26.8390 24.9029i 1.14028 1.05802i
\(555\) 3.51458 9.98865i 0.149186 0.423995i
\(556\) 15.8395 + 10.7992i 0.671743 + 0.457987i
\(557\) −13.2764 + 22.9955i −0.562541 + 0.974349i 0.434733 + 0.900559i \(0.356843\pi\)
−0.997274 + 0.0737900i \(0.976491\pi\)
\(558\) −9.02923 + 18.5847i −0.382238 + 0.786751i
\(559\) 13.1292 6.32268i 0.555305 0.267421i
\(560\) −15.2714 + 35.2114i −0.645335 + 1.48795i
\(561\) −2.92644 26.3830i −0.123554 1.11389i
\(562\) 6.99845 4.77146i 0.295212 0.201272i
\(563\) 2.96775 + 13.0026i 0.125076 + 0.547993i 0.998172 + 0.0604441i \(0.0192517\pi\)
−0.873096 + 0.487549i \(0.837891\pi\)
\(564\) 15.3346 15.2816i 0.645702 0.643472i
\(565\) 13.2313 + 6.37186i 0.556645 + 0.268066i
\(566\) 15.1947 + 7.31739i 0.638682 + 0.307573i
\(567\) −22.4380 7.97102i −0.942307 0.334751i
\(568\) −11.0464 + 5.31965i −0.463495 + 0.223208i
\(569\) −10.5718 −0.443193 −0.221596 0.975139i \(-0.571127\pi\)
−0.221596 + 0.975139i \(0.571127\pi\)
\(570\) −13.4570 21.4991i −0.563651 0.900500i
\(571\) 32.9023 15.8449i 1.37692 0.663088i 0.408577 0.912724i \(-0.366025\pi\)
0.968340 + 0.249635i \(0.0803107\pi\)
\(572\) 7.18985 1.08370i 0.300623 0.0453116i
\(573\) 23.7352 23.6533i 0.991553 0.988129i
\(574\) 3.25024 12.2365i 0.135662 0.510743i
\(575\) −2.71136 + 11.8792i −0.113071 + 0.495398i
\(576\) −0.00414170 + 1.19723i −0.000172571 + 0.0498845i
\(577\) 1.15079 + 1.06778i 0.0479080 + 0.0444521i 0.703763 0.710434i \(-0.251501\pi\)
−0.655856 + 0.754886i \(0.727692\pi\)
\(578\) 23.4722 59.8062i 0.976315 2.48761i
\(579\) 4.08030 4.06620i 0.169571 0.168986i
\(580\) 22.3046 + 3.36187i 0.926147 + 0.139594i
\(581\) 8.95071 + 1.67339i 0.371338 + 0.0694240i
\(582\) −7.48778 8.73146i −0.310379 0.361931i
\(583\) 17.9284 22.4815i 0.742518 0.931088i
\(584\) 2.34622 1.59963i 0.0970875 0.0661931i
\(585\) −11.3014 23.6767i −0.467254 0.978912i
\(586\) 4.16273 1.28403i 0.171961 0.0530429i
\(587\) 1.66318 2.88070i 0.0686466 0.118899i −0.829659 0.558270i \(-0.811465\pi\)
0.898306 + 0.439371i \(0.144799\pi\)
\(588\) −13.2098 4.58343i −0.544762 0.189017i
\(589\) 5.48624 + 9.50244i 0.226057 + 0.391541i
\(590\) 52.1266 + 48.3664i 2.14602 + 1.99121i
\(591\) −6.82028 0.780410i −0.280549 0.0321018i
\(592\) 0.779969 + 10.4080i 0.0320565 + 0.427765i
\(593\) 21.5004 + 3.24066i 0.882914 + 0.133078i 0.574822 0.818279i \(-0.305071\pi\)
0.308092 + 0.951357i \(0.400309\pi\)
\(594\) −5.11591 + 18.7041i −0.209908 + 0.767437i
\(595\) −51.5002 + 22.6029i −2.11130 + 0.926629i
\(596\) −8.48459 21.6184i −0.347542 0.885524i
\(597\) −5.12671 19.2664i −0.209822 0.788520i
\(598\) −11.5732 14.5123i −0.473262 0.593452i
\(599\) −2.20298 + 9.65189i −0.0900113 + 0.394365i −0.999785 0.0207394i \(-0.993398\pi\)
0.909774 + 0.415105i \(0.136255\pi\)
\(600\) 0.356287 9.10064i 0.0145453 0.371532i
\(601\) 34.5183 + 32.0283i 1.40803 + 1.30646i 0.893555 + 0.448954i \(0.148203\pi\)
0.514474 + 0.857506i \(0.327987\pi\)
\(602\) 0.902914 + 22.8024i 0.0368000 + 0.929356i
\(603\) −10.9725 2.54438i −0.446836 0.103615i
\(604\) −5.76465 + 14.6881i −0.234560 + 0.597650i
\(605\) −15.8560 10.8105i −0.644639 0.439507i
\(606\) −25.3113 + 47.6914i −1.02820 + 1.93733i
\(607\) 0.353454 0.612201i 0.0143463 0.0248485i −0.858763 0.512373i \(-0.828767\pi\)
0.873109 + 0.487524i \(0.162100\pi\)
\(608\) 13.6266 + 9.29049i 0.552634 + 0.376779i
\(609\) 2.28414 30.6636i 0.0925579 1.24255i
\(610\) −8.82294 + 6.01538i −0.357230 + 0.243556i
\(611\) −2.42988 32.4246i −0.0983026 1.31176i
\(612\) −17.2247 + 18.4355i −0.696268 + 0.745211i
\(613\) 38.7702 + 11.9590i 1.56591 + 0.483020i 0.951934 0.306303i \(-0.0990919\pi\)
0.613979 + 0.789323i \(0.289568\pi\)
\(614\) 2.61206 + 1.25790i 0.105414 + 0.0507647i
\(615\) 1.50000 + 13.5231i 0.0604858 + 0.545302i
\(616\) 2.14625 8.08023i 0.0864749 0.325562i
\(617\) −7.96583 5.43101i −0.320692 0.218644i 0.392264 0.919853i \(-0.371692\pi\)
−0.712956 + 0.701208i \(0.752644\pi\)
\(618\) 0.547141 0.0195249i 0.0220092 0.000785407i
\(619\) −9.42228 16.3199i −0.378713 0.655951i 0.612162 0.790732i \(-0.290300\pi\)
−0.990875 + 0.134782i \(0.956967\pi\)
\(620\) 0.974368 13.0020i 0.0391316 0.522175i
\(621\) 17.5119 4.59503i 0.702727 0.184392i
\(622\) −11.5730 50.7045i −0.464034 2.03307i
\(623\) −2.03562 + 2.37588i −0.0815555 + 0.0951875i
\(624\) 19.5716 + 16.9017i 0.783491 + 0.676611i
\(625\) −2.26102 + 30.1712i −0.0904408 + 1.20685i
\(626\) −7.53376 + 33.0076i −0.301110 + 1.31925i
\(627\) 6.70348 + 7.81689i 0.267711 + 0.312176i
\(628\) 4.12648 + 18.0793i 0.164664 + 0.721442i
\(629\) −9.53592 + 11.9577i −0.380222 + 0.476783i
\(630\) 41.0583 1.48356i 1.63580 0.0591064i
\(631\) −11.8413 14.8485i −0.471395 0.591111i 0.488117 0.872778i \(-0.337684\pi\)
−0.959512 + 0.281668i \(0.909112\pi\)
\(632\) 6.23186 7.81451i 0.247890 0.310844i
\(633\) 33.2119 24.4228i 1.32005 0.970721i
\(634\) −17.7460 + 22.2528i −0.704783 + 0.883770i
\(635\) 9.13860 + 8.47939i 0.362654 + 0.336494i
\(636\) −27.3134 + 0.974688i −1.08305 + 0.0386489i
\(637\) −18.1412 + 10.5794i −0.718781 + 0.419171i
\(638\) −25.0401 −0.991347
\(639\) 19.0724 + 15.3179i 0.754491 + 0.605968i
\(640\) 11.6622 + 29.7149i 0.460990 + 1.17458i
\(641\) 1.84719 + 24.6490i 0.0729596 + 0.973578i 0.906797 + 0.421568i \(0.138520\pi\)
−0.833837 + 0.552010i \(0.813861\pi\)
\(642\) 8.23250 + 18.9585i 0.324911 + 0.748232i
\(643\) 10.1263 25.8014i 0.399342 1.01751i −0.579877 0.814704i \(-0.696900\pi\)
0.979220 0.202803i \(-0.0650052\pi\)
\(644\) 10.2629 2.77388i 0.404414 0.109306i
\(645\) −9.76799 22.4946i −0.384614 0.885722i
\(646\) 8.15192 + 35.7159i 0.320733 + 1.40522i
\(647\) −38.6021 + 5.81832i −1.51760 + 0.228742i −0.854368 0.519669i \(-0.826055\pi\)
−0.663236 + 0.748411i \(0.730817\pi\)
\(648\) −12.2327 + 5.78706i −0.480547 + 0.227337i
\(649\) −23.8538 16.2633i −0.936345 0.638389i
\(650\) 13.6570 + 12.6718i 0.535672 + 0.497031i
\(651\) −17.7738 + 0.00794625i −0.696611 + 0.000311438i
\(652\) −14.0328 + 13.0205i −0.549566 + 0.509923i
\(653\) −43.0711 + 6.49193i −1.68550 + 0.254049i −0.920716 0.390233i \(-0.872394\pi\)
−0.764788 + 0.644282i \(0.777156\pi\)
\(654\) −21.8694 + 11.5099i −0.855159 + 0.450074i
\(655\) −8.54227 14.7956i −0.333774 0.578114i
\(656\) −6.70548 11.6142i −0.261805 0.453460i
\(657\) −4.89675 2.84977i −0.191040 0.111180i
\(658\) 48.0984 + 16.7129i 1.87507 + 0.651538i
\(659\) 10.0111 6.82548i 0.389978 0.265883i −0.352419 0.935842i \(-0.614641\pi\)
0.742398 + 0.669959i \(0.233689\pi\)
\(660\) −1.34902 12.1619i −0.0525106 0.473403i
\(661\) 2.82812 + 12.3908i 0.110001 + 0.481946i 0.999678 + 0.0253563i \(0.00807202\pi\)
−0.889678 + 0.456589i \(0.849071\pi\)
\(662\) 4.07635 + 17.8596i 0.158432 + 0.694134i
\(663\) 4.17766 + 37.6632i 0.162247 + 1.46272i
\(664\) 4.27574 2.91515i 0.165931 0.113130i
\(665\) 11.5677 18.4992i 0.448576 0.717367i
\(666\) 9.69507 5.55282i 0.375676 0.215167i
\(667\) 11.6895 + 20.2467i 0.452618 + 0.783957i
\(668\) 11.6323 + 20.1477i 0.450066 + 0.779537i
\(669\) −39.4928 + 20.7852i −1.52688 + 0.803603i
\(670\) 19.2174 2.89656i 0.742433 0.111904i
\(671\) 3.17812 2.94886i 0.122690 0.113840i
\(672\) −24.0645 + 11.6021i −0.928307 + 0.447560i
\(673\) 29.6102 + 27.4743i 1.14139 + 1.05905i 0.997586 + 0.0694486i \(0.0221240\pi\)
0.143804 + 0.989606i \(0.454066\pi\)
\(674\) −6.62592 4.51747i −0.255221 0.174007i
\(675\) −16.6927 + 7.18008i −0.642503 + 0.276361i
\(676\) 4.56080 0.687431i 0.175416 0.0264396i
\(677\) 0.883051 + 3.86890i 0.0339384 + 0.148694i 0.989058 0.147526i \(-0.0471310\pi\)
−0.955120 + 0.296220i \(0.904274\pi\)
\(678\) 6.17183 + 14.2130i 0.237028 + 0.545847i
\(679\) 3.93702 9.07761i 0.151089 0.348367i
\(680\) −11.6774 + 29.7536i −0.447809 + 1.14100i
\(681\) 2.31690 + 5.33554i 0.0887837 + 0.204458i
\(682\) 1.08165 + 14.4336i 0.0414186 + 0.552692i
\(683\) 5.37220 + 13.6882i 0.205562 + 0.523763i 0.996058 0.0887041i \(-0.0282726\pi\)
−0.790496 + 0.612467i \(0.790177\pi\)
\(684\) 1.49224 9.67316i 0.0570571 0.369863i
\(685\) 29.3336 1.12078
\(686\) −3.89552 32.6556i −0.148732 1.24680i
\(687\) −12.9691 + 0.462809i −0.494804 + 0.0176573i
\(688\) 17.7196 + 16.4413i 0.675552 + 0.626820i
\(689\) −25.5938 + 32.0936i −0.975045 + 1.22267i
\(690\) −25.1661 + 18.5063i −0.958057 + 0.704522i
\(691\) −5.37336 + 6.73798i −0.204412 + 0.256325i −0.873462 0.486893i \(-0.838130\pi\)
0.669049 + 0.743218i \(0.266702\pi\)
\(692\) 15.7128 + 19.7033i 0.597313 + 0.749006i
\(693\) −16.3938 + 3.08009i −0.622748 + 0.117003i
\(694\) −10.3558 + 12.9857i −0.393100 + 0.492932i
\(695\) −10.7825 47.2413i −0.409004 1.79196i
\(696\) −11.3757 13.2651i −0.431195 0.502814i
\(697\) 4.37303 19.1595i 0.165640 0.725717i
\(698\) −0.698187 + 9.31666i −0.0264268 + 0.352641i
\(699\) 0.402688 + 0.347755i 0.0152311 + 0.0131533i
\(700\) −9.77069 + 4.28825i −0.369297 + 0.162081i
\(701\) −7.09036 31.0649i −0.267799 1.17330i −0.912567 0.408927i \(-0.865903\pi\)
0.644768 0.764378i \(-0.276954\pi\)
\(702\) 7.30325 26.7011i 0.275643 1.00777i
\(703\) 0.443389 5.91662i 0.0167227 0.223149i
\(704\) 0.419344 + 0.726325i 0.0158046 + 0.0273744i
\(705\) −54.6858 + 1.95148i −2.05959 + 0.0734971i
\(706\) 21.0369 + 14.3427i 0.791735 + 0.539795i
\(707\) −46.4162 1.63560i −1.74566 0.0615131i
\(708\) 3.02520 + 27.2733i 0.113694 + 1.02499i
\(709\) −24.5282 11.8122i −0.921176 0.443615i −0.0876851 0.996148i \(-0.527947\pi\)
−0.833491 + 0.552533i \(0.813661\pi\)
\(710\) −40.3320 12.4408i −1.51363 0.466894i
\(711\) −19.4267 4.50478i −0.728559 0.168943i
\(712\) 0.132875 + 1.77309i 0.00497970 + 0.0664494i
\(713\) 11.1657 7.61265i 0.418159 0.285096i
\(714\) −56.7138 17.4661i −2.12246 0.653654i
\(715\) −15.1851 10.3530i −0.567890 0.387181i
\(716\) 11.2317 19.4539i 0.419749 0.727027i
\(717\) −17.7679 + 33.4782i −0.663554 + 1.25027i
\(718\) −24.2294 16.5193i −0.904233 0.616495i
\(719\) 0.323093 0.823226i 0.0120493 0.0307012i −0.924723 0.380642i \(-0.875703\pi\)
0.936772 + 0.349941i \(0.113798\pi\)
\(720\) 29.7108 31.7993i 1.10726 1.18509i
\(721\) 0.220971 + 0.415904i 0.00822940 + 0.0154891i
\(722\) 14.3145 + 13.2820i 0.532732 + 0.494303i
\(723\) 0.162084 4.14012i 0.00602797 0.153973i
\(724\) −3.37989 + 14.8083i −0.125613 + 0.550345i
\(725\) −14.6303 18.3458i −0.543354 0.681344i
\(726\) −5.20686 19.5676i −0.193245 0.726221i
\(727\) 16.7440 + 42.6630i 0.621000 + 1.58228i 0.801032 + 0.598622i \(0.204285\pi\)
−0.180031 + 0.983661i \(0.557620\pi\)
\(728\) −3.06389 + 11.5350i −0.113555 + 0.427515i
\(729\) 20.9336 + 17.0524i 0.775319 + 0.631570i
\(730\) 9.66635 + 1.45697i 0.357768 + 0.0539248i
\(731\) 2.64707 + 35.3227i 0.0979054 + 1.30646i
\(732\) −4.09403 0.468459i −0.151320 0.0173147i
\(733\) −11.7773 10.9278i −0.435006 0.403626i 0.432040 0.901854i \(-0.357794\pi\)
−0.867046 + 0.498228i \(0.833984\pi\)
\(734\) −33.8119 58.5640i −1.24802 2.16164i
\(735\) 16.5962 + 31.2032i 0.612161 + 1.15095i
\(736\) 10.1562 17.5910i 0.374361 0.648412i
\(737\) −7.53987 + 2.32574i −0.277735 + 0.0856698i
\(738\) −8.12803 + 11.8335i −0.299197 + 0.435596i
\(739\) 9.11296 6.21311i 0.335225 0.228553i −0.383994 0.923335i \(-0.625452\pi\)
0.719220 + 0.694783i \(0.244499\pi\)
\(740\) −4.39584 + 5.51221i −0.161594 + 0.202633i
\(741\) −9.56959 11.1591i −0.351548 0.409938i
\(742\) −30.1612 56.7683i −1.10725 2.08403i
\(743\) 21.2561 + 3.20384i 0.779811 + 0.117538i 0.526872 0.849945i \(-0.323365\pi\)
0.252939 + 0.967482i \(0.418603\pi\)
\(744\) −7.15491 + 7.13020i −0.262312 + 0.261406i
\(745\) −21.4459 + 54.6434i −0.785718 + 2.00198i
\(746\) −15.5488 14.4271i −0.569281 0.528215i
\(747\) −8.92380 5.19340i −0.326505 0.190017i
\(748\) −3.93288 + 17.2311i −0.143800 + 0.630030i
\(749\) −11.5681 + 13.5017i −0.422689 + 0.493342i
\(750\) −9.54426 + 9.51130i −0.348507 + 0.347303i
\(751\) −11.9258 + 1.79752i −0.435178 + 0.0655926i −0.362978 0.931798i \(-0.618240\pi\)
−0.0722001 + 0.997390i \(0.523002\pi\)
\(752\) 48.5949 23.4021i 1.77207 0.853385i
\(753\) −15.6492 25.0014i −0.570288 0.911102i
\(754\) 35.7462 1.30180
\(755\) 35.9334 17.3046i 1.30775 0.629779i
\(756\) 12.3657 + 9.92240i 0.449736 + 0.360874i
\(757\) 33.0488 + 15.9155i 1.20118 + 0.578458i 0.924012 0.382363i \(-0.124890\pi\)
0.277169 + 0.960821i \(0.410604\pi\)
\(758\) −9.48910 4.56971i −0.344660 0.165979i
\(759\) 8.98351 8.95249i 0.326081 0.324955i
\(760\) −2.75916 12.0887i −0.100085 0.438502i
\(761\) 13.1710 8.97983i 0.477448 0.325518i −0.300571 0.953759i \(-0.597177\pi\)
0.778019 + 0.628241i \(0.216225\pi\)
\(762\) 1.45014 + 13.0736i 0.0525331 + 0.473605i
\(763\) −17.1323 12.5867i −0.620231 0.455669i
\(764\) −20.1015 + 9.68038i −0.727247 + 0.350224i
\(765\) 63.6103 4.54570i 2.29983 0.164350i
\(766\) 15.6470 27.1015i 0.565350 0.979216i
\(767\) 34.0527 + 23.2167i 1.22957 + 0.838308i
\(768\) −11.6380 + 33.0759i −0.419950 + 1.19352i
\(769\) −0.811106 + 0.752597i −0.0292492 + 0.0271393i −0.694662 0.719336i \(-0.744446\pi\)
0.665413 + 0.746476i \(0.268256\pi\)
\(770\) 24.3361 15.3654i 0.877012 0.553730i
\(771\) −6.72905 +