Properties

Label 483.2.bf.a.19.13
Level $483$
Weight $2$
Character 483.19
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 19.13
Character \(\chi\) \(=\) 483.19
Dual form 483.2.bf.a.178.13

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.922068 - 0.0880469i) q^{2} +(0.690079 - 0.723734i) q^{3} +(-1.12140 - 0.216132i) q^{4} +(-2.93156 + 1.51132i) q^{5} +(-0.700023 + 0.606573i) q^{6} +(0.614878 + 2.57331i) q^{7} +(2.79246 + 0.819941i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +O(q^{10})\) \(q+(-0.922068 - 0.0880469i) q^{2} +(0.690079 - 0.723734i) q^{3} +(-1.12140 - 0.216132i) q^{4} +(-2.93156 + 1.51132i) q^{5} +(-0.700023 + 0.606573i) q^{6} +(0.614878 + 2.57331i) q^{7} +(2.79246 + 0.819941i) q^{8} +(-0.0475819 - 0.998867i) q^{9} +(2.83617 - 1.13543i) q^{10} +(-0.394592 - 4.13236i) q^{11} +(-0.930276 + 0.662447i) q^{12} +(1.09335 + 0.157200i) q^{13} +(-0.340388 - 2.42691i) q^{14} +(-0.929211 + 3.16460i) q^{15} +(-0.382186 - 0.153004i) q^{16} +(1.79693 - 5.19190i) q^{17} +(-0.0440733 + 0.925213i) q^{18} +(-0.394132 - 1.13877i) q^{19} +(3.61409 - 1.06119i) q^{20} +(2.28671 + 1.33078i) q^{21} +3.84506i q^{22} +(0.291984 - 4.78693i) q^{23} +(2.52044 - 1.45518i) q^{24} +(3.40965 - 4.78819i) q^{25} +(-0.994302 - 0.241215i) q^{26} +(-0.755750 - 0.654861i) q^{27} +(-0.133349 - 3.01860i) q^{28} +(-3.35886 - 3.87633i) q^{29} +(1.13543 - 2.83617i) q^{30} +(1.56361 - 0.379327i) q^{31} +(-4.83472 - 2.49247i) q^{32} +(-3.26303 - 2.56607i) q^{33} +(-2.11403 + 4.62907i) q^{34} +(-5.69166 - 6.61453i) q^{35} +(-0.162529 + 1.13041i) q^{36} +(5.81584 - 0.277043i) q^{37} +(0.263151 + 1.08472i) q^{38} +(0.868268 - 0.682814i) q^{39} +(-9.42546 + 1.81661i) q^{40} +(-3.60899 + 5.61570i) q^{41} +(-1.99133 - 1.42841i) q^{42} +(-2.08683 - 7.10709i) q^{43} +(-0.450639 + 4.71931i) q^{44} +(1.64910 + 2.85633i) q^{45} +(-0.690704 + 4.38817i) q^{46} +(11.3097 + 6.52966i) q^{47} +(-0.374473 + 0.171016i) q^{48} +(-6.24385 + 3.16454i) q^{49} +(-3.56552 + 4.11483i) q^{50} +(-2.51753 - 4.88332i) q^{51} +(-1.19211 - 0.412592i) q^{52} +(-2.30178 - 2.92695i) q^{53} +(0.639194 + 0.670368i) q^{54} +(7.40210 + 11.5179i) q^{55} +(-0.392939 + 7.69003i) q^{56} +(-1.09615 - 0.500594i) q^{57} +(2.75580 + 3.86997i) q^{58} +(-4.42564 - 11.0547i) q^{59} +(1.72599 - 3.34795i) q^{60} +(8.09863 - 7.72203i) q^{61} +(-1.47515 + 0.212095i) q^{62} +(2.54114 - 0.736624i) q^{63} +(4.93113 + 3.16905i) q^{64} +(-3.44280 + 1.19156i) q^{65} +(2.78280 + 2.65340i) q^{66} +(8.37496 + 5.96378i) q^{67} +(-3.13722 + 5.43382i) q^{68} +(-3.26298 - 3.51468i) q^{69} +(4.66571 + 6.60018i) q^{70} +(-2.27091 - 4.97261i) q^{71} +(0.686141 - 2.82831i) q^{72} +(0.174787 - 0.906883i) q^{73} +(-5.38700 - 0.256614i) q^{74} +(-1.11244 - 5.77191i) q^{75} +(0.195855 + 1.36220i) q^{76} +(10.3912 - 3.55630i) q^{77} +(-0.860722 + 0.553153i) q^{78} +(1.81575 - 2.30891i) q^{79} +(1.35164 - 0.129066i) q^{80} +(-0.995472 + 0.0950560i) q^{81} +(3.82218 - 4.86030i) q^{82} +(12.0623 - 7.75196i) q^{83} +(-2.27669 - 1.98657i) q^{84} +(2.57882 + 17.9361i) q^{85} +(1.29844 + 6.73696i) q^{86} +(-5.12330 - 0.244053i) q^{87} +(2.28641 - 11.8630i) q^{88} +(-0.491153 + 2.02456i) q^{89} +(-1.26909 - 2.77893i) q^{90} +(0.267752 + 2.91018i) q^{91} +(-1.36204 + 5.30496i) q^{92} +(0.804481 - 1.39340i) q^{93} +(-9.85340 - 7.01658i) q^{94} +(2.87647 + 2.74271i) q^{95} +(-5.14022 + 1.77905i) q^{96} +(-4.31631 - 2.77392i) q^{97} +(6.03589 - 2.36817i) q^{98} +(-4.10890 + 0.590771i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + O(q^{10}) \) \( 640q - 4q^{2} + 36q^{4} + 24q^{8} - 32q^{9} + 4q^{18} - 28q^{23} + 56q^{25} - 84q^{26} - 176q^{28} - 24q^{29} + 12q^{31} + 36q^{32} - 76q^{35} + 28q^{36} + 44q^{37} - 110q^{42} - 88q^{43} + 154q^{44} + 8q^{46} + 12q^{47} - 8q^{49} - 212q^{50} + 44q^{51} + 108q^{52} - 110q^{56} - 88q^{57} + 2q^{58} - 36q^{59} - 168q^{64} - 48q^{70} + 16q^{71} + 12q^{72} - 48q^{73} - 22q^{74} + 48q^{75} + 32q^{78} - 44q^{79} - 594q^{80} + 32q^{81} + 24q^{82} + 352q^{85} - 36q^{87} - 330q^{88} + 244q^{92} - 24q^{93} - 486q^{94} - 154q^{95} - 60q^{96} - 24q^{98} - 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{15}{22}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.922068 0.0880469i −0.652001 0.0622585i −0.236186 0.971708i \(-0.575897\pi\)
−0.415815 + 0.909449i \(0.636504\pi\)
\(3\) 0.690079 0.723734i 0.398417 0.417848i
\(4\) −1.12140 0.216132i −0.560700 0.108066i
\(5\) −2.93156 + 1.51132i −1.31103 + 0.675884i −0.964978 0.262330i \(-0.915509\pi\)
−0.346055 + 0.938214i \(0.612479\pi\)
\(6\) −0.700023 + 0.606573i −0.285783 + 0.247632i
\(7\) 0.614878 + 2.57331i 0.232402 + 0.972620i
\(8\) 2.79246 + 0.819941i 0.987284 + 0.289893i
\(9\) −0.0475819 0.998867i −0.0158606 0.332956i
\(10\) 2.83617 1.13543i 0.896874 0.359054i
\(11\) −0.394592 4.13236i −0.118974 1.24595i −0.835931 0.548835i \(-0.815071\pi\)
0.716957 0.697118i \(-0.245535\pi\)
\(12\) −0.930276 + 0.662447i −0.268548 + 0.191232i
\(13\) 1.09335 + 0.157200i 0.303240 + 0.0435994i 0.292256 0.956340i \(-0.405594\pi\)
0.0109849 + 0.999940i \(0.496503\pi\)
\(14\) −0.340388 2.42691i −0.0909724 0.648618i
\(15\) −0.929211 + 3.16460i −0.239921 + 0.817097i
\(16\) −0.382186 0.153004i −0.0955465 0.0382510i
\(17\) 1.79693 5.19190i 0.435820 1.25922i −0.486801 0.873513i \(-0.661836\pi\)
0.922621 0.385707i \(-0.126043\pi\)
\(18\) −0.0440733 + 0.925213i −0.0103882 + 0.218075i
\(19\) −0.394132 1.13877i −0.0904200 0.261252i 0.890719 0.454554i \(-0.150201\pi\)
−0.981139 + 0.193302i \(0.938080\pi\)
\(20\) 3.61409 1.06119i 0.808136 0.237290i
\(21\) 2.28671 + 1.33078i 0.499000 + 0.290400i
\(22\) 3.84506i 0.819770i
\(23\) 0.291984 4.78693i 0.0608830 0.998145i
\(24\) 2.52044 1.45518i 0.514482 0.297037i
\(25\) 3.40965 4.78819i 0.681931 0.957638i
\(26\) −0.994302 0.241215i −0.194999 0.0473061i
\(27\) −0.755750 0.654861i −0.145444 0.126028i
\(28\) −0.133349 3.01860i −0.0252006 0.570462i
\(29\) −3.35886 3.87633i −0.623724 0.719816i 0.352686 0.935742i \(-0.385268\pi\)
−0.976410 + 0.215926i \(0.930723\pi\)
\(30\) 1.13543 2.83617i 0.207300 0.517811i
\(31\) 1.56361 0.379327i 0.280832 0.0681292i −0.0928688 0.995678i \(-0.529604\pi\)
0.373701 + 0.927549i \(0.378089\pi\)
\(32\) −4.83472 2.49247i −0.854665 0.440611i
\(33\) −3.26303 2.56607i −0.568020 0.446696i
\(34\) −2.11403 + 4.62907i −0.362553 + 0.793879i
\(35\) −5.69166 6.61453i −0.962065 1.11806i
\(36\) −0.162529 + 1.13041i −0.0270881 + 0.188402i
\(37\) 5.81584 0.277043i 0.956118 0.0455455i 0.436281 0.899811i \(-0.356295\pi\)
0.519838 + 0.854265i \(0.325992\pi\)
\(38\) 0.263151 + 1.08472i 0.0426888 + 0.175966i
\(39\) 0.868268 0.682814i 0.139034 0.109338i
\(40\) −9.42546 + 1.81661i −1.49030 + 0.287231i
\(41\) −3.60899 + 5.61570i −0.563629 + 0.877024i −0.999738 0.0228695i \(-0.992720\pi\)
0.436109 + 0.899894i \(0.356356\pi\)
\(42\) −1.99133 1.42841i −0.307269 0.220408i
\(43\) −2.08683 7.10709i −0.318239 1.08382i −0.950927 0.309415i \(-0.899867\pi\)
0.632689 0.774406i \(-0.281951\pi\)
\(44\) −0.450639 + 4.71931i −0.0679364 + 0.711463i
\(45\) 1.64910 + 2.85633i 0.245833 + 0.425796i
\(46\) −0.690704 + 4.38817i −0.101839 + 0.647001i
\(47\) 11.3097 + 6.52966i 1.64969 + 0.952449i 0.977194 + 0.212348i \(0.0681109\pi\)
0.672496 + 0.740101i \(0.265222\pi\)
\(48\) −0.374473 + 0.171016i −0.0540505 + 0.0246840i
\(49\) −6.24385 + 3.16454i −0.891979 + 0.452078i
\(50\) −3.56552 + 4.11483i −0.504241 + 0.581925i
\(51\) −2.51753 4.88332i −0.352524 0.683802i
\(52\) −1.19211 0.412592i −0.165315 0.0572162i
\(53\) −2.30178 2.92695i −0.316173 0.402047i 0.601827 0.798626i \(-0.294440\pi\)
−0.918000 + 0.396579i \(0.870197\pi\)
\(54\) 0.639194 + 0.670368i 0.0869833 + 0.0912255i
\(55\) 7.40210 + 11.5179i 0.998099 + 1.55307i
\(56\) −0.392939 + 7.69003i −0.0525087 + 1.02762i
\(57\) −1.09615 0.500594i −0.145188 0.0663053i
\(58\) 2.75580 + 3.86997i 0.361854 + 0.508152i
\(59\) −4.42564 11.0547i −0.576169 1.43920i −0.874636 0.484780i \(-0.838900\pi\)
0.298467 0.954420i \(-0.403525\pi\)
\(60\) 1.72599 3.34795i 0.222824 0.432219i
\(61\) 8.09863 7.72203i 1.03692 0.988705i 0.0369800 0.999316i \(-0.488226\pi\)
0.999944 + 0.0106112i \(0.00337773\pi\)
\(62\) −1.47515 + 0.212095i −0.187345 + 0.0269361i
\(63\) 2.54114 0.736624i 0.320153 0.0928060i
\(64\) 4.93113 + 3.16905i 0.616392 + 0.396131i
\(65\) −3.44280 + 1.19156i −0.427026 + 0.147795i
\(66\) 2.78280 + 2.65340i 0.342539 + 0.326610i
\(67\) 8.37496 + 5.96378i 1.02316 + 0.728592i 0.962974 0.269595i \(-0.0868899\pi\)
0.0601902 + 0.998187i \(0.480829\pi\)
\(68\) −3.13722 + 5.43382i −0.380443 + 0.658947i
\(69\) −3.26298 3.51468i −0.392816 0.423118i
\(70\) 4.66571 + 6.60018i 0.557659 + 0.788873i
\(71\) −2.27091 4.97261i −0.269508 0.590140i 0.725690 0.688022i \(-0.241521\pi\)
−0.995198 + 0.0978816i \(0.968793\pi\)
\(72\) 0.686141 2.82831i 0.0808625 0.333320i
\(73\) 0.174787 0.906883i 0.0204573 0.106143i −0.970265 0.242046i \(-0.922182\pi\)
0.990722 + 0.135903i \(0.0433937\pi\)
\(74\) −5.38700 0.256614i −0.626226 0.0298308i
\(75\) −1.11244 5.77191i −0.128454 0.666483i
\(76\) 0.195855 + 1.36220i 0.0224661 + 0.156255i
\(77\) 10.3912 3.55630i 1.18419 0.405278i
\(78\) −0.860722 + 0.553153i −0.0974576 + 0.0626322i
\(79\) 1.81575 2.30891i 0.204287 0.259773i −0.673104 0.739548i \(-0.735039\pi\)
0.877391 + 0.479775i \(0.159282\pi\)
\(80\) 1.35164 0.129066i 0.151118 0.0144300i
\(81\) −0.995472 + 0.0950560i −0.110608 + 0.0105618i
\(82\) 3.82218 4.86030i 0.422089 0.536730i
\(83\) 12.0623 7.75196i 1.32401 0.850888i 0.328402 0.944538i \(-0.393490\pi\)
0.995605 + 0.0936504i \(0.0298536\pi\)
\(84\) −2.27669 1.98657i −0.248407 0.216752i
\(85\) 2.57882 + 17.9361i 0.279713 + 1.94544i
\(86\) 1.29844 + 6.73696i 0.140015 + 0.726465i
\(87\) −5.12330 0.244053i −0.549276 0.0261652i
\(88\) 2.28641 11.8630i 0.243732 1.26460i
\(89\) −0.491153 + 2.02456i −0.0520621 + 0.214603i −0.991901 0.127016i \(-0.959460\pi\)
0.939839 + 0.341619i \(0.110975\pi\)
\(90\) −1.26909 2.77893i −0.133774 0.292925i
\(91\) 0.267752 + 2.91018i 0.0280680 + 0.305070i
\(92\) −1.36204 + 5.30496i −0.142003 + 0.553080i
\(93\) 0.804481 1.39340i 0.0834208 0.144489i
\(94\) −9.85340 7.01658i −1.01630 0.723705i
\(95\) 2.87647 + 2.74271i 0.295119 + 0.281396i
\(96\) −5.14022 + 1.77905i −0.524622 + 0.181573i
\(97\) −4.31631 2.77392i −0.438255 0.281649i 0.302850 0.953038i \(-0.402062\pi\)
−0.741105 + 0.671389i \(0.765698\pi\)
\(98\) 6.03589 2.36817i 0.609716 0.239222i
\(99\) −4.10890 + 0.590771i −0.412960 + 0.0593747i
\(100\) −4.85846 + 4.63254i −0.485846 + 0.463254i
\(101\) −1.72646 + 3.34886i −0.171789 + 0.333224i −0.958975 0.283492i \(-0.908507\pi\)
0.787186 + 0.616716i \(0.211537\pi\)
\(102\) 1.89137 + 4.72442i 0.187274 + 0.467787i
\(103\) −3.37914 4.74534i −0.332956 0.467572i 0.613828 0.789440i \(-0.289629\pi\)
−0.946785 + 0.321868i \(0.895689\pi\)
\(104\) 2.92424 + 1.33546i 0.286745 + 0.130952i
\(105\) −8.71485 0.445304i −0.850483 0.0434573i
\(106\) 1.86469 + 2.90151i 0.181114 + 0.281820i
\(107\) −0.160935 0.168784i −0.0155582 0.0163170i 0.715909 0.698194i \(-0.246013\pi\)
−0.731467 + 0.681877i \(0.761164\pi\)
\(108\) 0.705961 + 0.897702i 0.0679311 + 0.0863814i
\(109\) −2.00958 0.695522i −0.192483 0.0666190i 0.229126 0.973397i \(-0.426413\pi\)
−0.421609 + 0.906778i \(0.638534\pi\)
\(110\) −5.81113 11.2720i −0.554069 1.07474i
\(111\) 3.81288 4.40030i 0.361903 0.417658i
\(112\) 0.158729 1.07756i 0.0149985 0.101820i
\(113\) −17.5749 + 8.02618i −1.65331 + 0.755039i −0.999998 0.00205302i \(-0.999347\pi\)
−0.653308 + 0.757092i \(0.726619\pi\)
\(114\) 0.966648 + 0.558094i 0.0905348 + 0.0522703i
\(115\) 6.37864 + 14.4745i 0.594811 + 1.34975i
\(116\) 2.92882 + 5.07287i 0.271934 + 0.471004i
\(117\) 0.104998 1.09959i 0.00970708 0.101657i
\(118\) 3.10741 + 10.5829i 0.286060 + 0.974231i
\(119\) 14.4653 + 1.43168i 1.32603 + 0.131242i
\(120\) −5.18957 + 8.07513i −0.473741 + 0.737155i
\(121\) −6.11947 + 1.17943i −0.556315 + 0.107221i
\(122\) −8.14739 + 6.40718i −0.737630 + 0.580079i
\(123\) 1.57378 + 6.48722i 0.141903 + 0.584933i
\(124\) −1.83541 + 0.0874316i −0.164825 + 0.00785159i
\(125\) −0.412182 + 2.86679i −0.0368667 + 0.256414i
\(126\) −2.40796 + 0.455479i −0.214518 + 0.0405773i
\(127\) 2.04213 4.47164i 0.181210 0.396794i −0.797128 0.603811i \(-0.793648\pi\)
0.978337 + 0.207017i \(0.0663755\pi\)
\(128\) 4.28347 + 3.36856i 0.378609 + 0.297742i
\(129\) −6.58372 3.39414i −0.579664 0.298838i
\(130\) 3.27941 0.795576i 0.287623 0.0697766i
\(131\) −6.71225 + 16.7664i −0.586452 + 1.46489i 0.277206 + 0.960810i \(0.410591\pi\)
−0.863659 + 0.504077i \(0.831833\pi\)
\(132\) 3.10455 + 3.58284i 0.270216 + 0.311846i
\(133\) 2.68806 1.71443i 0.233085 0.148660i
\(134\) −7.19719 6.23640i −0.621743 0.538743i
\(135\) 3.20523 + 0.777581i 0.275862 + 0.0669235i
\(136\) 9.27492 13.0248i 0.795318 1.11687i
\(137\) −0.843671 + 0.487094i −0.0720797 + 0.0416152i −0.535607 0.844468i \(-0.679917\pi\)
0.463527 + 0.886083i \(0.346584\pi\)
\(138\) 2.69923 + 3.52807i 0.229774 + 0.300329i
\(139\) 17.7006i 1.50135i 0.660674 + 0.750673i \(0.270271\pi\)
−0.660674 + 0.750673i \(0.729729\pi\)
\(140\) 4.95301 + 8.64768i 0.418605 + 0.730862i
\(141\) 12.5303 3.67924i 1.05524 0.309848i
\(142\) 1.65612 + 4.78503i 0.138978 + 0.401551i
\(143\) 0.218179 4.58014i 0.0182450 0.383011i
\(144\) −0.134646 + 0.389033i −0.0112205 + 0.0324194i
\(145\) 15.7051 + 6.28736i 1.30423 + 0.522137i
\(146\) −0.241014 + 0.820818i −0.0199465 + 0.0679314i
\(147\) −2.01846 + 6.70267i −0.166480 + 0.552827i
\(148\) −6.58176 0.946314i −0.541017 0.0777865i
\(149\) 11.6099 8.26735i 0.951117 0.677288i 0.00461661 0.999989i \(-0.498530\pi\)
0.946501 + 0.322702i \(0.104591\pi\)
\(150\) 0.517551 + 5.42004i 0.0422579 + 0.442545i
\(151\) −18.7938 + 7.52390i −1.52942 + 0.612286i −0.975444 0.220248i \(-0.929313\pi\)
−0.553974 + 0.832534i \(0.686889\pi\)
\(152\) −0.166875 3.50313i −0.0135353 0.284142i
\(153\) −5.27152 1.54786i −0.426177 0.125137i
\(154\) −9.89453 + 2.36424i −0.797324 + 0.190516i
\(155\) −4.01052 + 3.47514i −0.322133 + 0.279130i
\(156\) −1.12125 + 0.578046i −0.0897721 + 0.0462807i
\(157\) −16.8145 3.24074i −1.34195 0.258639i −0.532798 0.846243i \(-0.678859\pi\)
−0.809149 + 0.587604i \(0.800071\pi\)
\(158\) −1.87753 + 1.96910i −0.149369 + 0.156653i
\(159\) −3.70674 0.353951i −0.293964 0.0280701i
\(160\) 17.9402 1.41830
\(161\) 12.4978 2.19201i 0.984965 0.172755i
\(162\) 0.926263 0.0727741
\(163\) −16.5495 1.58029i −1.29626 0.123778i −0.575980 0.817464i \(-0.695379\pi\)
−0.720278 + 0.693686i \(0.755986\pi\)
\(164\) 5.26085 5.51742i 0.410803 0.430838i
\(165\) 13.4439 + 2.59110i 1.04661 + 0.201717i
\(166\) −11.8048 + 6.08579i −0.916229 + 0.472349i
\(167\) −10.4775 + 9.07879i −0.810772 + 0.702538i −0.958064 0.286555i \(-0.907490\pi\)
0.147292 + 0.989093i \(0.452944\pi\)
\(168\) 5.29438 + 5.59112i 0.408470 + 0.431364i
\(169\) −11.3027 3.31877i −0.869439 0.255290i
\(170\) −0.798633 16.7654i −0.0612524 1.28585i
\(171\) −1.11873 + 0.447870i −0.0855511 + 0.0342495i
\(172\) 0.804100 + 8.42092i 0.0613121 + 0.642089i
\(173\) −1.44009 + 1.02548i −0.109488 + 0.0779658i −0.633489 0.773751i \(-0.718378\pi\)
0.524002 + 0.851717i \(0.324439\pi\)
\(174\) 4.70255 + 0.676124i 0.356499 + 0.0512569i
\(175\) 14.4180 + 5.82995i 1.08990 + 0.440702i
\(176\) −0.481460 + 1.63970i −0.0362914 + 0.123597i
\(177\) −11.0547 4.42564i −0.830922 0.332651i
\(178\) 0.631133 1.82354i 0.0473054 0.136680i
\(179\) 0.860214 18.0581i 0.0642954 1.34973i −0.704259 0.709943i \(-0.748721\pi\)
0.768555 0.639784i \(-0.220976\pi\)
\(180\) −1.23196 3.55951i −0.0918247 0.265310i
\(181\) 21.0539 6.18200i 1.56493 0.459504i 0.619408 0.785069i \(-0.287373\pi\)
0.945520 + 0.325565i \(0.105555\pi\)
\(182\) 0.00934687 2.70696i 0.000692836 0.200654i
\(183\) 11.1901i 0.827194i
\(184\) 4.74036 13.1279i 0.349464 0.967803i
\(185\) −16.6308 + 9.60178i −1.22272 + 0.705937i
\(186\) −0.864471 + 1.21398i −0.0633861 + 0.0890133i
\(187\) −22.1638 5.37689i −1.62078 0.393197i
\(188\) −11.2714 9.76675i −0.822053 0.712313i
\(189\) 1.22047 2.34744i 0.0887758 0.170751i
\(190\) −2.41081 2.78223i −0.174899 0.201844i
\(191\) 2.39269 5.97665i 0.173129 0.432455i −0.816272 0.577668i \(-0.803963\pi\)
0.989400 + 0.145214i \(0.0463869\pi\)
\(192\) 5.69642 1.38194i 0.411104 0.0997326i
\(193\) −6.16126 3.17635i −0.443497 0.228639i 0.221989 0.975049i \(-0.428745\pi\)
−0.665486 + 0.746411i \(0.731775\pi\)
\(194\) 3.73570 + 2.93779i 0.268207 + 0.210921i
\(195\) −1.51343 + 3.31394i −0.108379 + 0.237316i
\(196\) 7.68581 2.19922i 0.548986 0.157087i
\(197\) −2.59213 + 18.0287i −0.184682 + 1.28449i 0.660830 + 0.750535i \(0.270204\pi\)
−0.845512 + 0.533956i \(0.820705\pi\)
\(198\) 3.84070 0.182955i 0.272947 0.0130021i
\(199\) −1.22459 5.04785i −0.0868092 0.357832i 0.911795 0.410645i \(-0.134696\pi\)
−0.998604 + 0.0528128i \(0.983181\pi\)
\(200\) 13.4474 10.5751i 0.950872 0.747774i
\(201\) 10.0956 1.94576i 0.712087 0.137244i
\(202\) 1.88677 2.93587i 0.132753 0.206567i
\(203\) 7.90970 11.0268i 0.555152 0.773933i
\(204\) 1.76771 + 6.02027i 0.123765 + 0.421504i
\(205\) 2.09283 21.9171i 0.146169 1.53076i
\(206\) 2.69798 + 4.67305i 0.187977 + 0.325587i
\(207\) −4.79541 0.0638822i −0.333304 0.00444012i
\(208\) −0.393810 0.227366i −0.0273058 0.0157650i
\(209\) −4.55028 + 2.07804i −0.314749 + 0.143741i
\(210\) 7.99648 + 1.17792i 0.551810 + 0.0812840i
\(211\) 2.24783 2.59414i 0.154747 0.178588i −0.673082 0.739568i \(-0.735030\pi\)
0.827830 + 0.560980i \(0.189575\pi\)
\(212\) 1.94860 + 3.77976i 0.133831 + 0.259595i
\(213\) −5.16596 1.78795i −0.353965 0.122509i
\(214\) 0.133533 + 0.169801i 0.00912810 + 0.0116073i
\(215\) 16.8588 + 17.6810i 1.14976 + 1.20583i
\(216\) −1.57346 2.44834i −0.107060 0.166589i
\(217\) 1.93755 + 3.79041i 0.131530 + 0.257310i
\(218\) 1.79173 + 0.818256i 0.121351 + 0.0554193i
\(219\) −0.535725 0.752320i −0.0362009 0.0508371i
\(220\) −5.81133 14.5160i −0.391800 0.978668i
\(221\) 2.78084 5.39408i 0.187060 0.362845i
\(222\) −3.90317 + 3.72167i −0.261964 + 0.249782i
\(223\) 9.87733 1.42015i 0.661435 0.0951000i 0.196581 0.980488i \(-0.437016\pi\)
0.464854 + 0.885388i \(0.346107\pi\)
\(224\) 3.44114 13.9738i 0.229921 0.933663i
\(225\) −4.94500 3.17796i −0.329667 0.211864i
\(226\) 16.9119 5.85327i 1.12496 0.389354i
\(227\) −4.46531 4.25767i −0.296373 0.282591i 0.527272 0.849696i \(-0.323215\pi\)
−0.823645 + 0.567105i \(0.808063\pi\)
\(228\) 1.12103 + 0.798278i 0.0742417 + 0.0528673i
\(229\) 10.1763 17.6259i 0.672469 1.16475i −0.304733 0.952438i \(-0.598567\pi\)
0.977202 0.212313i \(-0.0680996\pi\)
\(230\) −4.60711 13.9081i −0.303784 0.917071i
\(231\) 4.59694 9.97461i 0.302456 0.656281i
\(232\) −6.20112 13.5786i −0.407123 0.891476i
\(233\) 1.66720 6.87228i 0.109222 0.450218i −0.890769 0.454456i \(-0.849834\pi\)
0.999991 + 0.00423790i \(0.00134897\pi\)
\(234\) −0.193631 + 1.00465i −0.0126581 + 0.0656762i
\(235\) −43.0235 2.04946i −2.80654 0.133692i
\(236\) 2.57363 + 13.3533i 0.167529 + 0.869223i
\(237\) −0.418028 2.90745i −0.0271538 0.188859i
\(238\) −13.2119 2.59373i −0.856401 0.168127i
\(239\) −6.00099 + 3.85660i −0.388172 + 0.249463i −0.720142 0.693827i \(-0.755923\pi\)
0.331970 + 0.943290i \(0.392287\pi\)
\(240\) 0.839328 1.06729i 0.0541784 0.0688935i
\(241\) 16.9483 1.61837i 1.09174 0.104248i 0.466377 0.884586i \(-0.345559\pi\)
0.625358 + 0.780338i \(0.284953\pi\)
\(242\) 5.74641 0.548716i 0.369393 0.0352728i
\(243\) −0.618159 + 0.786053i −0.0396549 + 0.0504253i
\(244\) −10.7508 + 6.90911i −0.688248 + 0.442310i
\(245\) 13.5216 18.7135i 0.863861 1.19556i
\(246\) −0.879956 6.12023i −0.0561039 0.390211i
\(247\) −0.251909 1.30703i −0.0160286 0.0831643i
\(248\) 4.67734 + 0.222809i 0.297012 + 0.0141484i
\(249\) 2.71357 14.0793i 0.171966 0.892242i
\(250\) 0.632472 2.60709i 0.0400011 0.164887i
\(251\) 8.58677 + 18.8024i 0.541992 + 1.18680i 0.960422 + 0.278548i \(0.0898532\pi\)
−0.418430 + 0.908249i \(0.637419\pi\)
\(252\) −3.00884 + 0.276829i −0.189539 + 0.0174386i
\(253\) −19.8965 + 0.682303i −1.25089 + 0.0428961i
\(254\) −2.27670 + 3.94335i −0.142853 + 0.247428i
\(255\) 14.7606 + 10.5109i 0.924342 + 0.658221i
\(256\) −12.1376 11.5732i −0.758601 0.723324i
\(257\) 17.1837 5.94732i 1.07189 0.370984i 0.266562 0.963818i \(-0.414112\pi\)
0.805325 + 0.592834i \(0.201991\pi\)
\(258\) 5.77180 + 3.70931i 0.359336 + 0.230932i
\(259\) 4.28895 + 14.7956i 0.266502 + 0.919355i
\(260\) 4.11829 0.592120i 0.255405 0.0367217i
\(261\) −3.71211 + 3.53949i −0.229774 + 0.219089i
\(262\) 7.66539 14.8688i 0.473569 0.918596i
\(263\) 9.15262 + 22.8621i 0.564375 + 1.40974i 0.886361 + 0.462995i \(0.153225\pi\)
−0.321986 + 0.946744i \(0.604350\pi\)
\(264\) −7.00785 9.84116i −0.431304 0.605681i
\(265\) 11.1714 + 5.10179i 0.686251 + 0.313400i
\(266\) −2.62953 + 1.34414i −0.161227 + 0.0824147i
\(267\) 1.12631 + 1.75257i 0.0689289 + 0.107256i
\(268\) −8.10271 8.49788i −0.494952 0.519090i
\(269\) 10.4407 + 13.2764i 0.636581 + 0.809479i 0.992134 0.125177i \(-0.0399500\pi\)
−0.355553 + 0.934656i \(0.615708\pi\)
\(270\) −2.88698 0.999193i −0.175696 0.0608089i
\(271\) 9.20038 + 17.8462i 0.558883 + 1.08408i 0.983870 + 0.178883i \(0.0572483\pi\)
−0.424987 + 0.905199i \(0.639721\pi\)
\(272\) −1.48114 + 1.70933i −0.0898076 + 0.103643i
\(273\) 2.29097 + 1.81448i 0.138656 + 0.109817i
\(274\) 0.820809 0.374851i 0.0495869 0.0226456i
\(275\) −21.1319 12.2005i −1.27430 0.735720i
\(276\) 2.89946 + 4.64660i 0.174527 + 0.279692i
\(277\) −14.5820 25.2567i −0.876146 1.51753i −0.855537 0.517742i \(-0.826773\pi\)
−0.0206098 0.999788i \(-0.506561\pi\)
\(278\) 1.55848 16.3212i 0.0934716 0.978879i
\(279\) −0.453297 1.54379i −0.0271382 0.0924242i
\(280\) −10.4702 23.1376i −0.625715 1.38274i
\(281\) 3.07300 4.78169i 0.183320 0.285251i −0.737415 0.675440i \(-0.763954\pi\)
0.920735 + 0.390188i \(0.127590\pi\)
\(282\) −11.8778 + 2.28925i −0.707311 + 0.136323i
\(283\) 16.3831 12.8838i 0.973876 0.765864i 0.00167150 0.999999i \(-0.499468\pi\)
0.972204 + 0.234134i \(0.0752255\pi\)
\(284\) 1.47186 + 6.06710i 0.0873389 + 0.360016i
\(285\) 3.96998 0.189114i 0.235161 0.0112021i
\(286\) −0.604443 + 4.20399i −0.0357415 + 0.248587i
\(287\) −16.6700 5.83408i −0.984000 0.344375i
\(288\) −2.25960 + 4.94784i −0.133148 + 0.291554i
\(289\) −10.3639 8.15030i −0.609644 0.479429i
\(290\) −13.9276 7.18016i −0.817855 0.421633i
\(291\) −4.98618 + 1.20963i −0.292295 + 0.0709100i
\(292\) −0.392013 + 0.979201i −0.0229408 + 0.0573034i
\(293\) −4.47546 5.16496i −0.261459 0.301740i 0.609808 0.792549i \(-0.291247\pi\)
−0.871267 + 0.490809i \(0.836701\pi\)
\(294\) 2.45131 6.00260i 0.142963 0.350079i
\(295\) 29.6812 + 25.7189i 1.72811 + 1.49741i
\(296\) 16.4677 + 3.99501i 0.957164 + 0.232206i
\(297\) −2.40791 + 3.38143i −0.139721 + 0.196211i
\(298\) −11.4330 + 6.60085i −0.662296 + 0.382377i
\(299\) 1.07175 5.18789i 0.0619807 0.300023i
\(300\) 6.71305i 0.387578i
\(301\) 17.0056 9.74005i 0.980187 0.561407i
\(302\) 17.9916 5.28282i 1.03530 0.303992i
\(303\) 1.23229 + 3.56048i 0.0707933 + 0.204544i
\(304\) −0.0236048 + 0.495525i −0.00135383 + 0.0284203i
\(305\) −12.0711 + 34.8772i −0.691191 + 1.99707i
\(306\) 4.72442 + 1.89137i 0.270077 + 0.108123i
\(307\) 0.789870 2.69005i 0.0450803 0.153529i −0.933877 0.357594i \(-0.883597\pi\)
0.978957 + 0.204065i \(0.0654153\pi\)
\(308\) −12.4213 + 1.74216i −0.707771 + 0.0992690i
\(309\) −5.76623 0.829059i −0.328030 0.0471635i
\(310\) 4.00395 2.85120i 0.227409 0.161937i
\(311\) 2.07171 + 21.6959i 0.117476 + 1.23026i 0.841412 + 0.540394i \(0.181725\pi\)
−0.723936 + 0.689867i \(0.757669\pi\)
\(312\) 2.98447 1.19480i 0.168962 0.0676424i
\(313\) −0.791321 16.6119i −0.0447281 0.938958i −0.904025 0.427480i \(-0.859401\pi\)
0.859297 0.511478i \(-0.170902\pi\)
\(314\) 15.2188 + 4.46865i 0.858848 + 0.252180i
\(315\) −6.33622 + 5.99994i −0.357005 + 0.338058i
\(316\) −2.53521 + 2.19677i −0.142617 + 0.123578i
\(317\) −0.865462 + 0.446177i −0.0486092 + 0.0250598i −0.482360 0.875973i \(-0.660220\pi\)
0.433751 + 0.901033i \(0.357190\pi\)
\(318\) 3.38670 + 0.652734i 0.189917 + 0.0366035i
\(319\) −14.6930 + 15.4096i −0.822649 + 0.862770i
\(320\) −19.2454 1.83771i −1.07585 0.102731i
\(321\) −0.233213 −0.0130167
\(322\) −11.7168 + 0.920794i −0.652953 + 0.0513139i
\(323\) −6.62060 −0.368380
\(324\) 1.13687 + 0.108558i 0.0631592 + 0.00603098i
\(325\) 4.48064 4.69916i 0.248541 0.260663i
\(326\) 15.1206 + 2.91427i 0.837455 + 0.161406i
\(327\) −1.89014 + 0.974436i −0.104525 + 0.0538864i
\(328\) −14.6825 + 12.7225i −0.810705 + 0.702480i
\(329\) −9.84875 + 33.1183i −0.542979 + 1.82587i
\(330\) −12.1681 3.57287i −0.669831 0.196680i
\(331\) 0.252816 + 5.30727i 0.0138960 + 0.291714i 0.995109 + 0.0987850i \(0.0314956\pi\)
−0.981213 + 0.192929i \(0.938201\pi\)
\(332\) −15.2021 + 6.08599i −0.834322 + 0.334012i
\(333\) −0.553458 5.79607i −0.0303293 0.317623i
\(334\) 10.4603 7.44875i 0.572363 0.407578i
\(335\) −33.5649 4.82590i −1.83385 0.263667i
\(336\) −0.670332 0.858481i −0.0365696 0.0468340i
\(337\) 4.89263 16.6628i 0.266519 0.907679i −0.712114 0.702064i \(-0.752262\pi\)
0.978633 0.205616i \(-0.0659196\pi\)
\(338\) 10.1297 + 4.05531i 0.550981 + 0.220580i
\(339\) −6.31924 + 18.2582i −0.343214 + 0.991651i
\(340\) 0.984677 20.6709i 0.0534016 1.12104i
\(341\) −2.18450 6.31171i −0.118298 0.341798i
\(342\) 1.07098 0.314467i 0.0579117 0.0170044i
\(343\) −11.9826 14.1216i −0.646997 0.762492i
\(344\) 21.5574i 1.16230i
\(345\) 14.8774 + 5.37209i 0.800974 + 0.289223i
\(346\) 1.41815 0.818768i 0.0762401 0.0440172i
\(347\) 16.1357 22.6594i 0.866209 1.21642i −0.108757 0.994068i \(-0.534687\pi\)
0.974966 0.222352i \(-0.0713734\pi\)
\(348\) 5.69252 + 1.38099i 0.305151 + 0.0740289i
\(349\) −0.834633 0.723214i −0.0446769 0.0387127i 0.632236 0.774776i \(-0.282137\pi\)
−0.676913 + 0.736063i \(0.736683\pi\)
\(350\) −12.7811 6.64507i −0.683178 0.355194i
\(351\) −0.723354 0.834795i −0.0386098 0.0445581i
\(352\) −8.39204 + 20.9623i −0.447297 + 1.11729i
\(353\) 20.9027 5.07094i 1.11254 0.269899i 0.362953 0.931807i \(-0.381768\pi\)
0.749585 + 0.661908i \(0.230253\pi\)
\(354\) 9.80353 + 5.05407i 0.521052 + 0.268621i
\(355\) 14.1725 + 11.1454i 0.752200 + 0.591537i
\(356\) 0.988351 2.16419i 0.0523825 0.114702i
\(357\) 11.0183 9.48103i 0.583152 0.501789i
\(358\) −2.38314 + 16.5751i −0.125953 + 0.876020i
\(359\) 10.9654 0.522349i 0.578734 0.0275685i 0.243825 0.969819i \(-0.421598\pi\)
0.334909 + 0.942251i \(0.391295\pi\)
\(360\) 2.26303 + 9.32835i 0.119272 + 0.491647i
\(361\) 13.7936 10.8474i 0.725977 0.570914i
\(362\) −19.9575 + 3.84649i −1.04894 + 0.202167i
\(363\) −3.36932 + 5.24277i −0.176844 + 0.275174i
\(364\) 0.328727 3.32135i 0.0172300 0.174086i
\(365\) 0.858194 + 2.92274i 0.0449199 + 0.152983i
\(366\) −0.985250 + 10.3180i −0.0514999 + 0.539331i
\(367\) 15.4921 + 26.8330i 0.808679 + 1.40067i 0.913779 + 0.406211i \(0.133150\pi\)
−0.105100 + 0.994462i \(0.533516\pi\)
\(368\) −0.844013 + 1.78482i −0.0439972 + 0.0930404i
\(369\) 5.78106 + 3.33769i 0.300950 + 0.173753i
\(370\) 16.1801 7.38921i 0.841165 0.384147i
\(371\) 6.11663 7.72290i 0.317560 0.400953i
\(372\) −1.20330 + 1.38869i −0.0623884 + 0.0720000i
\(373\) 1.55935 + 3.02473i 0.0807403 + 0.156614i 0.925749 0.378138i \(-0.123435\pi\)
−0.845009 + 0.534752i \(0.820405\pi\)
\(374\) 19.9632 + 6.90932i 1.03227 + 0.357272i
\(375\) 1.79036 + 2.27662i 0.0924536 + 0.117564i
\(376\) 26.2280 + 27.5071i 1.35260 + 1.41857i
\(377\) −3.06304 4.76619i −0.157755 0.245471i
\(378\) −1.33204 + 2.05704i −0.0685126 + 0.105803i
\(379\) −25.1698 11.4947i −1.29289 0.590442i −0.354187 0.935175i \(-0.615242\pi\)
−0.938701 + 0.344733i \(0.887970\pi\)
\(380\) −2.63288 3.69737i −0.135064 0.189671i
\(381\) −1.82705 4.56374i −0.0936024 0.233808i
\(382\) −2.73245 + 5.30021i −0.139804 + 0.271182i
\(383\) −27.0846 + 25.8251i −1.38396 + 1.31960i −0.489808 + 0.871831i \(0.662933\pi\)
−0.894149 + 0.447769i \(0.852219\pi\)
\(384\) 5.39388 0.775522i 0.275255 0.0395757i
\(385\) −25.0877 + 26.1300i −1.27859 + 1.33171i
\(386\) 5.40143 + 3.47129i 0.274926 + 0.176684i
\(387\) −6.99975 + 2.42264i −0.355817 + 0.123149i
\(388\) 4.24077 + 4.04357i 0.215293 + 0.205281i
\(389\) −6.11707 4.35595i −0.310148 0.220855i 0.414375 0.910106i \(-0.364000\pi\)
−0.724523 + 0.689251i \(0.757940\pi\)
\(390\) 1.68727 2.92243i 0.0854380 0.147983i
\(391\) −24.3286 10.1178i −1.23035 0.511677i
\(392\) −20.0305 + 3.71728i −1.01169 + 0.187751i
\(393\) 7.50243 + 16.4280i 0.378447 + 0.828684i
\(394\) 3.97750 16.3955i 0.200383 0.825991i
\(395\) −1.83346 + 9.51288i −0.0922513 + 0.478645i
\(396\) 4.73541 + 0.225575i 0.237963 + 0.0113356i
\(397\) 0.596760 + 3.09629i 0.0299505 + 0.155398i 0.993825 0.110959i \(-0.0353921\pi\)
−0.963874 + 0.266357i \(0.914180\pi\)
\(398\) 0.684713 + 4.76228i 0.0343215 + 0.238712i
\(399\) 0.614186 3.12853i 0.0307478 0.156623i
\(400\) −2.03573 + 1.30829i −0.101787 + 0.0654143i
\(401\) 5.34289 6.79403i 0.266811 0.339278i −0.634124 0.773231i \(-0.718639\pi\)
0.900935 + 0.433953i \(0.142882\pi\)
\(402\) −9.48013 + 0.905243i −0.472826 + 0.0451494i
\(403\) 1.76920 0.168938i 0.0881301 0.00841541i
\(404\) 2.65985 3.38227i 0.132332 0.168274i
\(405\) 2.77462 1.78314i 0.137872 0.0886051i
\(406\) −8.26417 + 9.47108i −0.410144 + 0.470042i
\(407\) −3.43973 23.9238i −0.170501 1.18586i
\(408\) −3.02607 15.7007i −0.149813 0.777301i
\(409\) 7.99947 + 0.381062i 0.395548 + 0.0188423i 0.244414 0.969671i \(-0.421404\pi\)
0.151134 + 0.988513i \(0.451707\pi\)
\(410\) −3.85946 + 20.0248i −0.190605 + 0.988954i
\(411\) −0.229673 + 0.946726i −0.0113290 + 0.0466986i
\(412\) 2.76374 + 6.05176i 0.136160 + 0.298149i
\(413\) 25.7260 18.1858i 1.26589 0.894866i
\(414\) 4.41607 + 0.481124i 0.217038 + 0.0236460i
\(415\) −23.6456 + 40.9553i −1.16072 + 2.01042i
\(416\) −4.89422 3.48516i −0.239959 0.170874i
\(417\) 12.8105 + 12.2148i 0.627335 + 0.598162i
\(418\) 4.37863 1.51546i 0.214166 0.0741236i
\(419\) 2.88237 + 1.85238i 0.140813 + 0.0904949i 0.609150 0.793055i \(-0.291511\pi\)
−0.468338 + 0.883550i \(0.655147\pi\)
\(420\) 9.67659 + 2.38292i 0.472169 + 0.116275i
\(421\) 20.5301 2.95178i 1.00057 0.143861i 0.377489 0.926014i \(-0.376788\pi\)
0.623086 + 0.782153i \(0.285879\pi\)
\(422\) −2.30106 + 2.19406i −0.112014 + 0.106805i
\(423\) 5.98413 11.6076i 0.290958 0.564380i
\(424\) −4.02770 10.0607i −0.195602 0.488591i
\(425\) −18.7329 26.3066i −0.908678 1.27606i
\(426\) 4.60594 + 2.10346i 0.223159 + 0.101913i
\(427\) 24.8509 + 16.0922i 1.20262 + 0.778756i
\(428\) 0.143993 + 0.224058i 0.00696018 + 0.0108302i
\(429\) −3.16424 3.31856i −0.152771 0.160222i
\(430\) −13.9882 17.7874i −0.674571 0.857786i
\(431\) −1.99118 0.689156i −0.0959120 0.0331955i 0.278691 0.960381i \(-0.410100\pi\)
−0.374603 + 0.927185i \(0.622221\pi\)
\(432\) 0.188640 + 0.365911i 0.00907597 + 0.0176049i
\(433\) −16.2794 + 18.7875i −0.782339 + 0.902868i −0.997276 0.0737602i \(-0.976500\pi\)
0.214937 + 0.976628i \(0.431046\pi\)
\(434\) −1.45282 3.66561i −0.0697378 0.175955i
\(435\) 15.3881 7.02751i 0.737803 0.336944i
\(436\) 2.10322 + 1.21429i 0.100726 + 0.0581541i
\(437\) −5.56629 + 1.55418i −0.266272 + 0.0743465i
\(438\) 0.427735 + 0.740860i 0.0204380 + 0.0353996i
\(439\) −0.362778 + 3.79918i −0.0173145 + 0.181325i −0.999992 0.00399840i \(-0.998727\pi\)
0.982678 + 0.185324i \(0.0593333\pi\)
\(440\) 11.2261 + 38.2326i 0.535183 + 1.82267i
\(441\) 3.45805 + 6.08620i 0.164669 + 0.289819i
\(442\) −3.03906 + 4.72887i −0.144553 + 0.224929i
\(443\) −22.1683 + 4.27259i −1.05325 + 0.202997i −0.686355 0.727267i \(-0.740790\pi\)
−0.366892 + 0.930263i \(0.619578\pi\)
\(444\) −5.22681 + 4.11041i −0.248054 + 0.195071i
\(445\) −1.61992 6.67741i −0.0767916 0.316539i
\(446\) −9.23261 + 0.439804i −0.437177 + 0.0208253i
\(447\) 2.02836 14.1076i 0.0959383 0.667266i
\(448\) −5.12290 + 14.6379i −0.242034 + 0.691576i
\(449\) 10.8380 23.7320i 0.511479 1.11998i −0.461087 0.887355i \(-0.652541\pi\)
0.972566 0.232627i \(-0.0747322\pi\)
\(450\) 4.27982 + 3.36569i 0.201753 + 0.158660i
\(451\) 24.6301 + 12.6977i 1.15979 + 0.597912i
\(452\) 21.4432 5.20206i 1.00860 0.244684i
\(453\) −7.52390 + 18.7938i −0.353504 + 0.883010i
\(454\) 3.74245 + 4.31902i 0.175642 + 0.202701i
\(455\) −5.18316 8.12672i −0.242990 0.380986i
\(456\) −2.65049 2.29667i −0.124121 0.107551i
\(457\) 1.54357 + 0.374466i 0.0722052 + 0.0175168i 0.271699 0.962382i \(-0.412415\pi\)
−0.199494 + 0.979899i \(0.563930\pi\)
\(458\) −10.9352 + 15.3563i −0.510966 + 0.717552i
\(459\) −4.75800 + 2.74703i −0.222085 + 0.128221i
\(460\) −4.02461 17.6103i −0.187648 0.821084i
\(461\) 9.01072i 0.419671i −0.977737 0.209836i \(-0.932707\pi\)
0.977737 0.209836i \(-0.0672929\pi\)
\(462\) −5.11693 + 8.79252i −0.238061 + 0.409065i
\(463\) 10.5207 3.08916i 0.488939 0.143566i −0.0279647 0.999609i \(-0.508903\pi\)
0.516904 + 0.856043i \(0.327084\pi\)
\(464\) 0.690613 + 1.99540i 0.0320609 + 0.0926339i
\(465\) −0.252502 + 5.30067i −0.0117095 + 0.245813i
\(466\) −2.14235 + 6.18992i −0.0992425 + 0.286742i
\(467\) −13.3305 5.33671i −0.616861 0.246954i 0.0421213 0.999113i \(-0.486588\pi\)
−0.658982 + 0.752159i \(0.729013\pi\)
\(468\) −0.355402 + 1.21039i −0.0164284 + 0.0559501i
\(469\) −10.1971 + 25.2184i −0.470857 + 1.16448i
\(470\) 39.4902 + 5.67783i 1.82154 + 0.261899i
\(471\) −13.9488 + 9.93289i −0.642726 + 0.457683i
\(472\) −3.29422 34.4986i −0.151629 1.58793i
\(473\) −28.5456 + 11.4279i −1.31253 + 0.525457i
\(474\) 0.129459 + 2.71767i 0.00594623 + 0.124827i
\(475\) −6.79649 1.99563i −0.311844 0.0915658i
\(476\) −15.9119 4.73190i −0.729321 0.216886i
\(477\) −2.81411 + 2.43844i −0.128849 + 0.111648i
\(478\) 5.87288 3.02768i 0.268619 0.138483i
\(479\) 11.0028 + 2.12063i 0.502733 + 0.0968938i 0.434312 0.900763i \(-0.356992\pi\)
0.0684213 + 0.997657i \(0.478204\pi\)
\(480\) 12.3801 12.9839i 0.565074 0.592632i
\(481\) 6.40229 + 0.611345i 0.291920 + 0.0278749i
\(482\) −15.7700 −0.718303
\(483\) 7.03804 10.5577i 0.320242 0.480394i
\(484\) 7.11728 0.323513
\(485\) 16.8458 + 1.60858i 0.764929 + 0.0730419i
\(486\) 0.639194 0.670368i 0.0289944 0.0304085i
\(487\) 12.2039 + 2.35210i 0.553009 + 0.106584i 0.458098 0.888902i \(-0.348531\pi\)
0.0949117 + 0.995486i \(0.469743\pi\)
\(488\) 28.9467 14.9231i 1.31036 0.675536i
\(489\) −12.5642 + 10.8869i −0.568172 + 0.492324i
\(490\) −14.1155 + 16.0646i −0.637672 + 0.725725i
\(491\) −17.9986 5.28487i −0.812266 0.238503i −0.150884 0.988552i \(-0.548212\pi\)
−0.661383 + 0.750049i \(0.730030\pi\)
\(492\) −0.362743 7.61491i −0.0163537 0.343307i
\(493\) −26.1611 + 10.4733i −1.17824 + 0.471695i
\(494\) 0.117198 + 1.22735i 0.00527298 + 0.0552211i
\(495\) 11.1526 7.94176i 0.501274 0.356956i
\(496\) −0.655628 0.0942650i −0.0294385 0.00423262i
\(497\) 11.3997 8.90131i 0.511348 0.399278i
\(498\) −3.74174 + 12.7432i −0.167671 + 0.571036i
\(499\) 2.34048 + 0.936988i 0.104774 + 0.0419454i 0.423457 0.905916i \(-0.360816\pi\)
−0.318683 + 0.947861i \(0.603241\pi\)
\(500\) 1.08183 3.12573i 0.0483807 0.139787i
\(501\) −0.659661 + 13.8480i −0.0294715 + 0.618682i
\(502\) −6.26210 18.0931i −0.279491 0.807537i
\(503\) −4.24337 + 1.24597i −0.189203 + 0.0555549i −0.374961 0.927041i \(-0.622344\pi\)
0.185759 + 0.982595i \(0.440526\pi\)
\(504\) 7.70002 + 0.0265874i 0.342986 + 0.00118430i
\(505\) 12.4266i 0.552977i
\(506\) 18.4061 + 1.12270i 0.818249 + 0.0499100i
\(507\) −10.2017 + 5.88994i −0.453072 + 0.261581i
\(508\) −3.25651 + 4.57312i −0.144484 + 0.202900i
\(509\) −6.59707 1.60043i −0.292410 0.0709379i 0.0868707 0.996220i \(-0.472313\pi\)
−0.379281 + 0.925282i \(0.623828\pi\)
\(510\) −12.6848 10.9914i −0.561692 0.486709i
\(511\) 2.44116 0.107840i 0.107991 0.00477057i
\(512\) 3.03560 + 3.50327i 0.134156 + 0.154824i
\(513\) −0.447870 + 1.11873i −0.0197739 + 0.0493929i
\(514\) −16.3681 + 3.97087i −0.721968 + 0.175148i
\(515\) 17.0779 + 8.80426i 0.752541 + 0.387962i
\(516\) 6.64940 + 5.22914i 0.292723 + 0.230200i
\(517\) 22.5202 49.3123i 0.990436 2.16875i
\(518\) −2.65200 14.0202i −0.116522 0.616012i
\(519\) −0.251598 + 1.74990i −0.0110439 + 0.0768121i
\(520\) −10.5909 + 0.504506i −0.464441 + 0.0221241i
\(521\) 0.537713 + 2.21648i 0.0235576 + 0.0971059i 0.982377 0.186912i \(-0.0598478\pi\)
−0.958819 + 0.284017i \(0.908333\pi\)
\(522\) 3.73446 2.93682i 0.163453 0.128541i
\(523\) −28.7807 + 5.54703i −1.25849 + 0.242555i −0.774532 0.632534i \(-0.782015\pi\)
−0.483962 + 0.875089i \(0.660803\pi\)
\(524\) 11.1509 17.3511i 0.487128 0.757986i
\(525\) 14.1689 6.41169i 0.618381 0.279829i
\(526\) −6.42640 21.8863i −0.280204 0.954289i
\(527\) 0.840272 8.79972i 0.0366028 0.383322i
\(528\) 0.854463 + 1.47997i 0.0371857 + 0.0644076i
\(529\) −22.8295 2.79542i −0.992587 0.121540i
\(530\) −9.85156 5.68780i −0.427924 0.247062i
\(531\) −10.8316 + 4.94663i −0.470052 + 0.214665i
\(532\) −3.38493 + 1.34158i −0.146756 + 0.0581649i
\(533\) −4.82867 + 5.57258i −0.209153 + 0.241375i
\(534\) −0.884225 1.71516i −0.0382642 0.0742221i
\(535\) 0.726880 + 0.251575i 0.0314257 + 0.0108766i
\(536\) 18.4968 + 23.5206i 0.798940 + 1.01594i
\(537\) −12.4757 13.0841i −0.538364 0.564620i
\(538\) −8.45810 13.1611i −0.364654 0.567413i
\(539\) 15.5408 + 24.5531i 0.669390 + 1.05758i
\(540\) −3.42628 1.56473i −0.147444 0.0673353i
\(541\) 25.4454 + 35.7330i 1.09398 + 1.53628i 0.818088 + 0.575093i \(0.195034\pi\)
0.275893 + 0.961188i \(0.411026\pi\)
\(542\) −6.91207 17.2655i −0.296899 0.741618i
\(543\) 10.0548 19.5035i 0.431491 0.836976i
\(544\) −21.6283 + 20.6226i −0.927307 + 0.884185i
\(545\) 6.94236 0.998161i 0.297378 0.0427565i
\(546\) −1.95267 1.87478i −0.0835667 0.0802333i
\(547\) 12.3136 + 7.91348i 0.526492 + 0.338356i 0.776735 0.629827i \(-0.216874\pi\)
−0.250243 + 0.968183i \(0.580511\pi\)
\(548\) 1.05137 0.363882i 0.0449122 0.0155443i
\(549\) −8.09863 7.72203i −0.345641 0.329568i
\(550\) 18.4109 + 13.1103i 0.785042 + 0.559026i
\(551\) −3.09041 + 5.35274i −0.131656 + 0.228035i
\(552\) −6.22990 12.4901i −0.265162 0.531612i
\(553\) 7.05800 + 3.25278i 0.300137 + 0.138322i
\(554\) 11.2218 + 24.5723i 0.476769 + 1.04398i
\(555\) −4.52741 + 18.6623i −0.192178 + 0.792168i
\(556\) 3.82567 19.8495i 0.162245 0.841805i
\(557\) −2.99925 0.142872i −0.127082 0.00605368i −0.0160557 0.999871i \(-0.505111\pi\)
−0.111027 + 0.993817i \(0.535414\pi\)
\(558\) 0.282045 + 1.46339i 0.0119399 + 0.0619502i
\(559\) −1.16440 8.09858i −0.0492489 0.342533i
\(560\) 1.16322 + 3.39883i 0.0491550 + 0.143627i
\(561\) −19.1862 + 12.3303i −0.810044 + 0.520584i
\(562\) −3.25453 + 4.13847i −0.137284 + 0.174571i
\(563\) 0.909603 0.0868566i 0.0383352 0.00366057i −0.0758708 0.997118i \(-0.524174\pi\)
0.114206 + 0.993457i \(0.463568\pi\)
\(564\) −14.8467 + 1.41769i −0.625159 + 0.0596954i
\(565\) 39.3916 50.0905i 1.65722 2.10733i
\(566\) −16.2407 + 10.4373i −0.682649 + 0.438712i
\(567\) −0.856702 2.50321i −0.0359781 0.105125i
\(568\) −2.26420 15.7478i −0.0950036 0.660765i
\(569\) 8.07963 + 41.9211i 0.338716 + 1.75742i 0.607591 + 0.794250i \(0.292136\pi\)
−0.268875 + 0.963175i \(0.586652\pi\)
\(570\) −3.67725 0.175169i −0.154023 0.00733701i
\(571\) −6.69825 + 34.7538i −0.280313 + 1.45440i 0.519663 + 0.854371i \(0.326057\pi\)
−0.799976 + 0.600032i \(0.795155\pi\)
\(572\) −1.23458 + 5.08901i −0.0516204 + 0.212782i
\(573\) −2.67436 5.85603i −0.111723 0.244639i
\(574\) 14.8572 + 6.84716i 0.620128 + 0.285795i
\(575\) −21.9252 17.7199i −0.914343 0.738969i
\(576\) 2.93082 5.07634i 0.122118 0.211514i
\(577\) −0.540980 0.385230i −0.0225213 0.0160373i 0.568741 0.822517i \(-0.307431\pi\)
−0.591262 + 0.806479i \(0.701370\pi\)
\(578\) 8.83866 + 8.42764i 0.367640 + 0.350544i
\(579\) −6.55058 + 2.26718i −0.272233 + 0.0942208i
\(580\) −16.2528 10.4450i −0.674859 0.433705i
\(581\) 27.3650 + 26.2735i 1.13529 + 1.09001i
\(582\) 4.70410 0.676348i 0.194991 0.0280355i
\(583\) −11.1869 + 10.6667i −0.463315 + 0.441770i
\(584\) 1.23168 2.38912i 0.0509672 0.0988625i
\(585\) 1.35403 + 3.38220i 0.0559822 + 0.139837i
\(586\) 3.67192 + 5.15650i 0.151686 + 0.213013i
\(587\) 30.9358 + 14.1279i 1.27686 + 0.583122i 0.934338 0.356389i \(-0.115992\pi\)
0.342520 + 0.939510i \(0.388719\pi\)
\(588\) 3.71217 7.08012i 0.153087 0.291979i
\(589\) −1.04823 1.63108i −0.0431917 0.0672076i
\(590\) −25.1037 26.3280i −1.03350 1.08391i
\(591\) 11.2592 + 14.3172i 0.463142 + 0.588932i
\(592\) −2.26512 0.783966i −0.0930959 0.0322208i
\(593\) −16.7561 32.5023i −0.688091 1.33471i −0.931128 0.364694i \(-0.881174\pi\)
0.243036 0.970017i \(-0.421857\pi\)
\(594\) 2.51798 2.90590i 0.103314 0.119231i
\(595\) −44.5695 + 17.6646i −1.82717 + 0.724179i
\(596\) −14.8061 + 6.76174i −0.606483 + 0.276972i
\(597\) −4.49837 2.59713i −0.184106 0.106294i
\(598\) −1.44500 + 4.68923i −0.0590905 + 0.191757i
\(599\) −7.85662 13.6081i −0.321013 0.556010i 0.659685 0.751543i \(-0.270690\pi\)
−0.980697 + 0.195532i \(0.937357\pi\)
\(600\) 1.62617 17.0300i 0.0663880 0.695246i
\(601\) 2.60622 + 8.87598i 0.106310 + 0.362059i 0.995416 0.0956432i \(-0.0304908\pi\)
−0.889106 + 0.457702i \(0.848673\pi\)
\(602\) −16.5379 + 7.48371i −0.674035 + 0.305013i
\(603\) 5.55853 8.64924i 0.226361 0.352224i
\(604\) 22.7015 4.37536i 0.923711 0.178031i
\(605\) 16.1571 12.7061i 0.656879 0.516575i
\(606\) −0.822769 3.39150i −0.0334227 0.137770i
\(607\) 16.0411 0.764131i 0.651087 0.0310151i 0.280560 0.959837i \(-0.409480\pi\)
0.370528 + 0.928821i \(0.379177\pi\)
\(608\) −0.932832 + 6.48799i −0.0378313 + 0.263123i
\(609\) −2.52218 13.3339i −0.102204 0.540317i
\(610\) 14.2012 31.0964i 0.574991 1.25906i
\(611\) 11.3390 + 8.91708i 0.458726 + 0.360747i
\(612\) 5.57694 + 2.87511i 0.225434 + 0.116219i
\(613\) 1.17186 0.284290i 0.0473310 0.0114824i −0.212024 0.977265i \(-0.568005\pi\)
0.259355 + 0.965782i \(0.416490\pi\)
\(614\) −0.965165 + 2.41086i −0.0389509 + 0.0972946i
\(615\) −14.4179 16.6392i −0.581387 0.670956i
\(616\) 31.9330 1.41066i 1.28662 0.0568373i
\(617\) 23.6403 + 20.4844i 0.951722 + 0.824671i 0.984606 0.174788i \(-0.0559239\pi\)
−0.0328845 + 0.999459i \(0.510469\pi\)
\(618\) 5.24387 + 1.27215i 0.210939 + 0.0511733i
\(619\) 11.4788 16.1197i 0.461370 0.647904i −0.516703 0.856165i \(-0.672841\pi\)
0.978073 + 0.208261i \(0.0667802\pi\)
\(620\) 5.24849 3.03022i 0.210784 0.121696i
\(621\) −3.35544 + 3.42651i −0.134649 + 0.137501i
\(622\) 20.1875i 0.809445i
\(623\) −5.51182 0.0190317i −0.220826 0.000762491i
\(624\) −0.436313 + 0.128113i −0.0174665 + 0.00512863i
\(625\) 6.48844 + 18.7471i 0.259538 + 0.749884i
\(626\) −0.732971 + 15.3869i −0.0292954 + 0.614986i
\(627\) −1.63610 + 4.72721i −0.0653396 + 0.188786i
\(628\) 18.1554 + 7.26832i 0.724479 + 0.290038i
\(629\) 9.01230 30.6931i 0.359344 1.22381i
\(630\) 6.37070 4.97447i 0.253815 0.198188i
\(631\) −12.0873 1.73790i −0.481190 0.0691846i −0.102548 0.994728i \(-0.532700\pi\)
−0.378642 + 0.925543i \(0.623609\pi\)
\(632\) 6.96357 4.95874i 0.276996 0.197248i
\(633\) −0.326284 3.41700i −0.0129686 0.135813i
\(634\) 0.837300 0.335204i 0.0332534 0.0133127i
\(635\) 0.771472 + 16.1952i 0.0306149 + 0.642686i
\(636\) 4.08024 + 1.19807i 0.161792 + 0.0475064i
\(637\) −7.32417 + 2.47842i −0.290194 + 0.0981985i
\(638\) 14.9047 12.9150i 0.590083 0.511310i
\(639\) −4.85892 + 2.50495i −0.192216 + 0.0990942i
\(640\) −17.6482 3.40142i −0.697608 0.134453i
\(641\) −10.6610 + 11.1810i −0.421085 + 0.441621i −0.899769 0.436366i \(-0.856265\pi\)
0.478684 + 0.877987i \(0.341114\pi\)
\(642\) 0.215038 + 0.0205337i 0.00848689 + 0.000810400i
\(643\) 20.4294 0.805658 0.402829 0.915275i \(-0.368027\pi\)
0.402829 + 0.915275i \(0.368027\pi\)
\(644\) −14.4888 0.243053i −0.570938 0.00957762i
\(645\) 24.4302 0.961939
\(646\) 6.10465 + 0.582923i 0.240184 + 0.0229348i
\(647\) −25.2071 + 26.4364i −0.990991 + 1.03932i 0.00823378 + 0.999966i \(0.497379\pi\)
−0.999225 + 0.0393559i \(0.987469\pi\)
\(648\) −2.85776 0.550788i −0.112263 0.0216370i
\(649\) −43.9357 + 22.6504i −1.72463 + 0.889107i
\(650\) −4.54521 + 3.93844i −0.178278 + 0.154478i
\(651\) 4.08031 + 1.21341i 0.159920 + 0.0475572i
\(652\) 18.2171 + 5.34901i 0.713435 + 0.209483i
\(653\) −0.298273 6.26153i −0.0116723 0.245032i −0.997161 0.0752936i \(-0.976011\pi\)
0.985489 0.169739i \(-0.0542924\pi\)
\(654\) 1.82864 0.732075i 0.0715053 0.0286264i
\(655\) −5.66209 59.2961i −0.221236 2.31689i
\(656\) 2.23853 1.59405i 0.0873999 0.0622372i
\(657\) −0.914172 0.131438i −0.0356653 0.00512789i
\(658\) 11.9972 29.6702i 0.467699 1.15666i
\(659\) 9.75915 33.2366i 0.380162 1.29471i −0.518125 0.855305i \(-0.673370\pi\)
0.898287 0.439409i \(-0.144812\pi\)
\(660\) −14.5160 5.81133i −0.565034 0.226206i
\(661\) 3.66644 10.5935i 0.142608 0.412039i −0.850966 0.525220i \(-0.823983\pi\)
0.993574 + 0.113181i \(0.0361041\pi\)
\(662\) 0.234174 4.91592i 0.00910144 0.191063i
\(663\) −1.98488 5.73493i −0.0770863 0.222726i
\(664\) 40.0396 11.7567i 1.55384 0.456248i
\(665\) −5.28916 + 9.08848i −0.205105 + 0.352436i
\(666\) 5.39310i 0.208979i
\(667\) −19.5365 + 14.9468i −0.756454 + 0.578742i
\(668\) 13.7117 7.91643i 0.530520 0.306296i
\(669\) 5.78833 8.12857i 0.223790 0.314269i
\(670\) 30.5242 + 7.40509i 1.17925 + 0.286084i
\(671\) −35.1059 30.4194i −1.35525 1.17433i
\(672\) −7.73865 12.1335i −0.298525 0.468060i
\(673\) −5.95096 6.86778i −0.229393 0.264733i 0.629371 0.777105i \(-0.283313\pi\)
−0.858764 + 0.512372i \(0.828767\pi\)
\(674\) −5.97845 + 14.9334i −0.230281 + 0.575215i
\(675\) −5.71244 + 1.38582i −0.219872 + 0.0533404i
\(676\) 11.9576 + 6.16455i 0.459906 + 0.237098i
\(677\) −1.89185 1.48777i −0.0727098 0.0571796i 0.581143 0.813802i \(-0.302606\pi\)
−0.653852 + 0.756622i \(0.726848\pi\)
\(678\) 7.43435 16.2790i 0.285514 0.625189i
\(679\) 4.48416 12.8128i 0.172086 0.491711i
\(680\) −7.50528 + 52.2004i −0.287814 + 2.00179i
\(681\) −6.16283 + 0.293572i −0.236160 + 0.0112497i
\(682\) 1.45854 + 6.01217i 0.0558502 + 0.230218i
\(683\) −39.4506 + 31.0243i −1.50954 + 1.18711i −0.582109 + 0.813111i \(0.697772\pi\)
−0.927428 + 0.374002i \(0.877985\pi\)
\(684\) 1.35134 0.260449i 0.0516697 0.00995851i
\(685\) 1.73711 2.70300i 0.0663717 0.103276i
\(686\) 9.80538 + 14.0761i 0.374371 + 0.537427i
\(687\) −5.73399 19.5282i −0.218765 0.745047i
\(688\) −0.289857 + 3.03552i −0.0110507 + 0.115728i
\(689\) −2.05653 3.56201i −0.0783475 0.135702i
\(690\) −13.2450 6.26334i −0.504229 0.238441i
\(691\) 27.2558 + 15.7362i 1.03686 + 0.598632i 0.918943 0.394391i \(-0.129045\pi\)
0.117918 + 0.993023i \(0.462378\pi\)
\(692\) 1.83655 0.838724i 0.0698152 0.0318835i
\(693\) −4.04671 10.2102i −0.153722 0.387855i
\(694\) −16.8733 + 19.4728i −0.640502 + 0.739178i
\(695\) −26.7514 51.8904i −1.01474 1.96831i
\(696\) −14.1065 4.88232i −0.534706 0.185064i
\(697\) 22.6710 + 28.8285i 0.858726 + 1.09196i
\(698\) 0.705912 + 0.740339i 0.0267192 + 0.0280223i
\(699\) −3.82320 5.94902i −0.144607 0.225013i
\(700\) −14.9083 9.65389i −0.563481 0.364883i
\(701\) 23.9958 + 10.9585i 0.906310 + 0.413898i 0.813352 0.581772i \(-0.197640\pi\)
0.0929584 + 0.995670i \(0.470368\pi\)
\(702\) 0.593481 + 0.833427i 0.0223995 + 0.0314557i
\(703\) −2.60770 6.51371i −0.0983511 0.245669i
\(704\) 11.1498 21.6277i 0.420226 0.815124i
\(705\) −31.1729 + 29.7233i −1.17404 + 1.11944i
\(706\) −19.7202 + 2.83534i −0.742179 + 0.106709i
\(707\) −9.67922 2.38357i −0.364024 0.0896434i
\(708\) 11.4402 + 7.35218i 0.429950 + 0.276312i
\(709\) −35.7875 + 12.3862i −1.34403 + 0.465173i −0.901964 0.431811i \(-0.857875\pi\)
−0.442064 + 0.896983i \(0.645754\pi\)
\(710\) −12.0867 11.5247i −0.453607 0.432513i
\(711\) −2.39269 1.70383i −0.0897329 0.0638985i
\(712\) −3.03154 + 5.25079i −0.113612 + 0.196782i
\(713\) −1.35927 7.59565i −0.0509049 0.284459i
\(714\) −10.9944 + 7.77203i −0.411456 + 0.290861i
\(715\) 6.28247 + 13.7567i 0.234951 + 0.514471i
\(716\) −4.86758 + 20.0644i −0.181910 + 0.749844i
\(717\) −1.35000 + 7.00448i −0.0504168 + 0.261587i
\(718\) −10.1569 0.483832i −0.379051 0.0180564i
\(719\) 8.27957 + 42.9585i 0.308776 + 1.60208i 0.722294 + 0.691586i \(0.243088\pi\)
−0.413518 + 0.910496i \(0.635700\pi\)
\(720\) −0.193233 1.34397i −0.00720138 0.0500867i
\(721\) 10.1335 11.6134i 0.377390 0.432505i
\(722\) −13.6737 + 8.78754i −0.508882 + 0.327038i
\(723\) 10.5244 13.3829i 0.391406 0.497714i
\(724\) −24.9460 + 2.38206i −0.927111 + 0.0885284i
\(725\) −30.0131 + 2.86590i −1.11466 + 0.106437i
\(726\) 3.56836 4.53753i 0.132434 0.168404i
\(727\) −8.47810 + 5.44854i −0.314435 + 0.202075i −0.688333 0.725394i \(-0.741657\pi\)
0.373898 + 0.927470i \(0.378021\pi\)
\(728\) −1.63849 + 8.34612i −0.0607266 + 0.309328i
\(729\) 0.142315 + 0.989821i 0.00527092 + 0.0366601i
\(730\) −0.533975 2.77053i −0.0197633 0.102542i
\(731\) −40.6492 1.93636i −1.50346 0.0716189i
\(732\) −2.41853 + 12.5485i −0.0893915 + 0.463807i
\(733\) 6.71835 27.6934i 0.248148 1.02288i −0.702272 0.711909i \(-0.747831\pi\)
0.950420 0.310970i \(-0.100654\pi\)
\(734\) −11.9222 26.1059i −0.440055 0.963587i
\(735\) −4.21266 22.6998i −0.155386 0.837296i
\(736\) −13.3430 + 22.4157i −0.491828 + 0.826254i
\(737\) 21.3398 36.9616i 0.786061 1.36150i
\(738\) −5.03666 3.58659i −0.185402 0.132024i
\(739\) 33.6830 + 32.1167i 1.23905 + 1.18143i 0.976266 + 0.216577i \(0.0694892\pi\)
0.262784 + 0.964855i \(0.415359\pi\)
\(740\) 20.7250 7.17299i 0.761866 0.263684i
\(741\) −1.11978 0.719638i −0.0411361 0.0264366i
\(742\) −6.31993 + 6.58249i −0.232012 + 0.241651i
\(743\) −11.1488 + 1.60295i −0.409009 + 0.0588066i −0.343749 0.939062i \(-0.611697\pi\)
−0.0652603 + 0.997868i \(0.520788\pi\)
\(744\) 3.38899 3.23140i 0.124246 0.118469i
\(745\) −21.5404 + 41.7825i −0.789178 + 1.53079i
\(746\) −1.17151 2.92630i −0.0428922 0.107139i
\(747\) −8.31712 11.6798i −0.304308 0.427340i
\(748\) 23.6924 + 10.8200i 0.866280 + 0.395617i
\(749\) 0.335379 0.517919i 0.0122545 0.0189243i
\(750\) −1.45038 2.25684i −0.0529604 0.0824080i
\(751\) 28.3095 + 29.6902i 1.03303 + 1.08341i 0.996459 + 0.0840796i \(0.0267950\pi\)
0.0365709 + 0.999331i \(0.488357\pi\)
\(752\) −3.32334 4.22598i −0.121190 0.154105i
\(753\) 19.5335 + 6.76061i 0.711840 + 0.246370i
\(754\) 2.40469 + 4.66444i 0.0875736 + 0.169869i
\(755\) 43.7241 50.4603i 1.59128 1.83644i
\(756\) −1.87599 + 2.36863i −0.0682290 + 0.0861464i
\(757\) −9.89217 + 4.51760i −0.359537 + 0.164195i −0.586990 0.809594i \(-0.699687\pi\)
0.227453 + 0.973789i \(0.426960\pi\)
\(758\) 22.1962 + 12.8150i 0.806204 + 0.465462i
\(759\) −13.2364 + 14.8707i −0.480450 + 0.539770i
\(760\) 5.78357 + 10.0174i 0.209792 + 0.363371i
\(761\) 2.18128 22.8434i 0.0790714 0.828073i −0.865748 0.500481i \(-0.833157\pi\)
0.944819 0.327592i \(-0.106237\pi\)
\(762\) 1.28284 + 4.36895i 0.0464723 + 0.158270i
\(763\) 0.554149 5.59893i 0.0200615 0.202695i
\(764\) −3.97490 + 6.18507i −0.143807 + 0.223768i
\(765\) 17.7931 3.42934i 0.643310 0.123988i
\(766\) 27.2476 21.4278i 0.984497 0.774217i
\(767\) −3.10097 12.7824i −0.111969 0.461544i
\(768\) −16.7518 + 0.797988i −0.604479 + 0.0287949i
\(769\) 0.415469 2.88965i 0.0149822 0.104203i −0.980958 0.194219i \(-0.937783\pi\)
0.995940 + 0.0900159i \(0.0286918\pi\)
\(770\) 25.4333 21.8848i 0.916551 0.788672i
\(771\) 7.55380 16.5405i 0.272044 0.595692i
\(772\) 6.22272 + 4.89360i 0.223961 + 0.176125i
\(773\) 16.2776 + 8.39170i