Properties

Label 475.2.bc.a.111.4
Level $475$
Weight $2$
Character 475.111
Analytic conductor $3.793$
Analytic rank $0$
Dimension $1152$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 475 = 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 475.bc (of order \(45\), degree \(24\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.79289409601\)
Analytic rank: \(0\)
Dimension: \(1152\)
Relative dimension: \(48\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 111.4
Character \(\chi\) \(=\) 475.111
Dual form 475.2.bc.a.291.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.46168 - 0.172137i) q^{2} +(-0.0802746 - 2.29876i) q^{3} +(4.04969 + 0.569146i) q^{4} +(1.58431 + 1.57796i) q^{5} +(-0.198093 + 5.67263i) q^{6} +(-0.754362 - 1.30659i) q^{7} +(-5.04352 - 1.07203i) q^{8} +(-2.28518 + 0.159795i) q^{9} +O(q^{10})\) \(q+(-2.46168 - 0.172137i) q^{2} +(-0.0802746 - 2.29876i) q^{3} +(4.04969 + 0.569146i) q^{4} +(1.58431 + 1.57796i) q^{5} +(-0.198093 + 5.67263i) q^{6} +(-0.754362 - 1.30659i) q^{7} +(-5.04352 - 1.07203i) q^{8} +(-2.28518 + 0.159795i) q^{9} +(-3.62843 - 4.15715i) q^{10} +(0.143096 + 1.36147i) q^{11} +(0.983246 - 9.35496i) q^{12} +(-0.976423 - 1.44761i) q^{13} +(1.63208 + 3.34626i) q^{14} +(3.50018 - 3.76862i) q^{15} +(4.36886 + 1.25275i) q^{16} +(1.57491 - 3.89805i) q^{17} +5.65288 q^{18} +(3.54066 - 2.54238i) q^{19} +(5.51786 + 7.29196i) q^{20} +(-2.94299 + 1.83899i) q^{21} +(-0.117897 - 3.37614i) q^{22} +(4.81938 + 4.65402i) q^{23} +(-2.05949 + 11.6799i) q^{24} +(0.0200652 + 4.99996i) q^{25} +(2.15445 + 3.73162i) q^{26} +(-0.170525 - 1.62244i) q^{27} +(-2.31129 - 5.72064i) q^{28} +(-1.01677 - 2.51660i) q^{29} +(-9.26504 + 8.67461i) q^{30} +(4.17154 - 4.63297i) q^{31} +(-0.848591 - 0.308862i) q^{32} +(3.11822 - 0.438237i) q^{33} +(-4.54793 + 9.32463i) q^{34} +(0.866614 - 3.26040i) q^{35} +(-9.34520 - 0.653480i) q^{36} +(-7.68150 - 5.58093i) q^{37} +(-9.15361 + 5.64904i) q^{38} +(-3.24932 + 2.36077i) q^{39} +(-6.29887 - 9.65693i) q^{40} +(-3.04928 - 0.874367i) q^{41} +(7.56126 - 4.02039i) q^{42} +(0.767542 - 4.35295i) q^{43} +(-0.195381 + 5.59498i) q^{44} +(-3.87258 - 3.35276i) q^{45} +(-11.0626 - 12.2863i) q^{46} +(-0.790098 - 1.95556i) q^{47} +(2.52907 - 10.1435i) q^{48} +(2.36188 - 4.09089i) q^{49} +(0.811285 - 12.3117i) q^{50} +(-9.08711 - 3.30744i) q^{51} +(-3.13031 - 6.41808i) q^{52} +(4.18885 + 0.588704i) q^{53} +(0.140496 + 4.02327i) q^{54} +(-1.92164 + 2.38279i) q^{55} +(2.40393 + 7.39854i) q^{56} +(-6.12856 - 7.93506i) q^{57} +(2.06977 + 6.37009i) q^{58} +(2.54981 + 10.2267i) q^{59} +(16.3195 - 13.2696i) q^{60} +(-9.62674 - 9.29643i) q^{61} +(-11.0665 + 10.6868i) q^{62} +(1.93264 + 2.86525i) q^{63} +(-6.26819 - 2.79078i) q^{64} +(0.737314 - 3.83421i) q^{65} +(-7.75148 + 0.542036i) q^{66} +(0.916156 + 0.572478i) q^{67} +(8.59646 - 14.8895i) q^{68} +(10.3116 - 11.4522i) q^{69} +(-2.69456 + 7.87688i) q^{70} +(0.506972 + 0.269562i) q^{71} +(11.6967 + 1.64386i) q^{72} +(-4.39294 + 6.51280i) q^{73} +(17.9487 + 15.0607i) q^{74} +(11.4921 - 0.447495i) q^{75} +(15.7856 - 8.28069i) q^{76} +(1.67094 - 1.21401i) q^{77} +(8.40516 - 5.25213i) q^{78} +(-0.212377 - 6.08169i) q^{79} +(4.94483 + 8.87864i) q^{80} +(-10.5213 + 1.47867i) q^{81} +(7.35583 + 2.67730i) q^{82} +(0.157896 - 0.175361i) q^{83} +(-12.9649 + 5.77232i) q^{84} +(8.64612 - 3.69055i) q^{85} +(-2.63874 + 10.5834i) q^{86} +(-5.70346 + 2.53934i) q^{87} +(0.737834 - 7.02002i) q^{88} +(3.38195 - 0.969758i) q^{89} +(8.95590 + 8.92003i) q^{90} +(-1.15486 + 2.36781i) q^{91} +(16.8682 + 21.5903i) q^{92} +(-10.9850 - 9.21748i) q^{93} +(1.60834 + 4.94996i) q^{94} +(9.62129 + 1.55912i) q^{95} +(-0.641880 + 1.97550i) q^{96} +(-13.4328 + 8.39375i) q^{97} +(-6.51837 + 9.66388i) q^{98} +(-0.544558 - 3.08834i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1152q - 18q^{2} - 18q^{3} - 18q^{4} - 24q^{5} - 18q^{6} - 30q^{7} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 1152q - 18q^{2} - 18q^{3} - 18q^{4} - 24q^{5} - 18q^{6} - 30q^{7} - 9q^{8} - 18q^{9} - 33q^{10} - 9q^{12} - 18q^{13} - 18q^{14} + 27q^{15} - 30q^{16} - 36q^{17} - 144q^{18} - 18q^{19} - 54q^{20} + 9q^{21} + 6q^{22} - 24q^{23} - 120q^{24} - 90q^{25} - 24q^{26} - 9q^{27} + 54q^{28} + 9q^{30} - 45q^{31} - 138q^{32} + 54q^{33} - 18q^{34} + 45q^{35} - 72q^{36} - 36q^{37} + 93q^{38} - 36q^{39} + 57q^{40} - 18q^{41} + 36q^{42} - 252q^{43} - 42q^{44} - 90q^{45} - 69q^{46} - 18q^{47} + 6q^{48} - 486q^{49} + 21q^{50} + 12q^{51} - 36q^{53} - 120q^{54} - 3q^{55} + 234q^{56} + 90q^{57} + 180q^{58} + 18q^{59} + 69q^{60} - 90q^{61} - 144q^{62} - 27q^{63} + 93q^{64} - 72q^{65} + 42q^{66} + 54q^{67} - 48q^{68} - 57q^{69} + 12q^{70} - 60q^{71} - 318q^{72} - 36q^{73} - 66q^{74} - 132q^{75} - 48q^{76} + 222q^{77} - 39q^{78} + 6q^{79} + 129q^{80} - 84q^{81} + 120q^{82} + 45q^{83} - 63q^{84} - 18q^{85} + 72q^{86} - 33q^{87} - 45q^{88} + 18q^{89} + 57q^{90} + 45q^{91} + 324q^{92} - 78q^{93} - 24q^{94} + 81q^{95} - 132q^{96} - 96q^{97} - 153q^{98} - 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.46168 0.172137i −1.74067 0.121719i −0.836245 0.548356i \(-0.815254\pi\)
−0.904423 + 0.426636i \(0.859698\pi\)
\(3\) −0.0802746 2.29876i −0.0463466 1.32719i −0.770450 0.637500i \(-0.779968\pi\)
0.724103 0.689691i \(-0.242254\pi\)
\(4\) 4.04969 + 0.569146i 2.02484 + 0.284573i
\(5\) 1.58431 + 1.57796i 0.708524 + 0.705687i
\(6\) −0.198093 + 5.67263i −0.0808710 + 2.31584i
\(7\) −0.754362 1.30659i −0.285122 0.493846i 0.687517 0.726169i \(-0.258701\pi\)
−0.972639 + 0.232323i \(0.925367\pi\)
\(8\) −5.04352 1.07203i −1.78316 0.379021i
\(9\) −2.28518 + 0.159795i −0.761726 + 0.0532651i
\(10\) −3.62843 4.15715i −1.14741 1.31461i
\(11\) 0.143096 + 1.36147i 0.0431452 + 0.410499i 0.994684 + 0.102971i \(0.0328350\pi\)
−0.951539 + 0.307528i \(0.900498\pi\)
\(12\) 0.983246 9.35496i 0.283839 2.70054i
\(13\) −0.976423 1.44761i −0.270811 0.401494i 0.668960 0.743298i \(-0.266740\pi\)
−0.939771 + 0.341805i \(0.888962\pi\)
\(14\) 1.63208 + 3.34626i 0.436192 + 0.894327i
\(15\) 3.50018 3.76862i 0.903744 0.973054i
\(16\) 4.36886 + 1.25275i 1.09221 + 0.313188i
\(17\) 1.57491 3.89805i 0.381972 0.945415i −0.606646 0.794972i \(-0.707486\pi\)
0.988619 0.150443i \(-0.0480700\pi\)
\(18\) 5.65288 1.33240
\(19\) 3.54066 2.54238i 0.812284 0.583262i
\(20\) 5.51786 + 7.29196i 1.23383 + 1.63053i
\(21\) −2.94299 + 1.83899i −0.642214 + 0.401300i
\(22\) −0.117897 3.37614i −0.0251358 0.719795i
\(23\) 4.81938 + 4.65402i 1.00491 + 0.970431i 0.999563 0.0295546i \(-0.00940888\pi\)
0.00534769 + 0.999986i \(0.498298\pi\)
\(24\) −2.05949 + 11.6799i −0.420391 + 2.38416i
\(25\) 0.0200652 + 4.99996i 0.00401304 + 0.999992i
\(26\) 2.15445 + 3.73162i 0.422522 + 0.731830i
\(27\) −0.170525 1.62244i −0.0328176 0.312238i
\(28\) −2.31129 5.72064i −0.436792 1.08110i
\(29\) −1.01677 2.51660i −0.188810 0.467322i 0.802853 0.596177i \(-0.203314\pi\)
−0.991663 + 0.128855i \(0.958870\pi\)
\(30\) −9.26504 + 8.67461i −1.69156 + 1.58376i
\(31\) 4.17154 4.63297i 0.749231 0.832106i −0.241147 0.970489i \(-0.577524\pi\)
0.990379 + 0.138383i \(0.0441904\pi\)
\(32\) −0.848591 0.308862i −0.150011 0.0545996i
\(33\) 3.11822 0.438237i 0.542812 0.0762872i
\(34\) −4.54793 + 9.32463i −0.779963 + 1.59916i
\(35\) 0.866614 3.26040i 0.146484 0.551108i
\(36\) −9.34520 0.653480i −1.55753 0.108913i
\(37\) −7.68150 5.58093i −1.26283 0.917500i −0.263937 0.964540i \(-0.585021\pi\)
−0.998893 + 0.0470400i \(0.985021\pi\)
\(38\) −9.15361 + 5.64904i −1.48491 + 0.916395i
\(39\) −3.24932 + 2.36077i −0.520308 + 0.378026i
\(40\) −6.29887 9.65693i −0.995938 1.52689i
\(41\) −3.04928 0.874367i −0.476217 0.136553i 0.0289386 0.999581i \(-0.490787\pi\)
−0.505156 + 0.863028i \(0.668565\pi\)
\(42\) 7.56126 4.02039i 1.16673 0.620360i
\(43\) 0.767542 4.35295i 0.117049 0.663818i −0.868666 0.495398i \(-0.835022\pi\)
0.985715 0.168420i \(-0.0538666\pi\)
\(44\) −0.195381 + 5.59498i −0.0294548 + 0.843475i
\(45\) −3.87258 3.35276i −0.577290 0.499800i
\(46\) −11.0626 12.2863i −1.63110 1.81152i
\(47\) −0.790098 1.95556i −0.115248 0.285248i 0.858525 0.512772i \(-0.171381\pi\)
−0.973772 + 0.227524i \(0.926937\pi\)
\(48\) 2.52907 10.1435i 0.365040 1.46409i
\(49\) 2.36188 4.09089i 0.337411 0.584413i
\(50\) 0.811285 12.3117i 0.114733 1.74114i
\(51\) −9.08711 3.30744i −1.27245 0.463134i
\(52\) −3.13031 6.41808i −0.434095 0.890027i
\(53\) 4.18885 + 0.588704i 0.575382 + 0.0808647i 0.420862 0.907125i \(-0.361728\pi\)
0.154521 + 0.987990i \(0.450617\pi\)
\(54\) 0.140496 + 4.02327i 0.0191190 + 0.547498i
\(55\) −1.92164 + 2.38279i −0.259114 + 0.321296i
\(56\) 2.40393 + 7.39854i 0.321239 + 0.988671i
\(57\) −6.12856 7.93506i −0.811747 1.05102i
\(58\) 2.06977 + 6.37009i 0.271774 + 0.836434i
\(59\) 2.54981 + 10.2267i 0.331957 + 1.33141i 0.871891 + 0.489701i \(0.162894\pi\)
−0.539933 + 0.841708i \(0.681551\pi\)
\(60\) 16.3195 13.2696i 2.10684 1.71310i
\(61\) −9.62674 9.29643i −1.23258 1.19029i −0.974555 0.224147i \(-0.928040\pi\)
−0.258022 0.966139i \(-0.583071\pi\)
\(62\) −11.0665 + 10.6868i −1.40545 + 1.35722i
\(63\) 1.93264 + 2.86525i 0.243490 + 0.360988i
\(64\) −6.26819 2.79078i −0.783524 0.348847i
\(65\) 0.737314 3.83421i 0.0914526 0.475576i
\(66\) −7.75148 + 0.542036i −0.954141 + 0.0667200i
\(67\) 0.916156 + 0.572478i 0.111926 + 0.0699393i 0.584727 0.811230i \(-0.301202\pi\)
−0.472801 + 0.881169i \(0.656757\pi\)
\(68\) 8.59646 14.8895i 1.04247 1.80562i
\(69\) 10.3116 11.4522i 1.24137 1.37869i
\(70\) −2.69456 + 7.87688i −0.322062 + 0.941467i
\(71\) 0.506972 + 0.269562i 0.0601665 + 0.0319911i 0.499282 0.866439i \(-0.333597\pi\)
−0.439116 + 0.898431i \(0.644708\pi\)
\(72\) 11.6967 + 1.64386i 1.37846 + 0.193730i
\(73\) −4.39294 + 6.51280i −0.514155 + 0.762266i −0.993312 0.115464i \(-0.963165\pi\)
0.479157 + 0.877729i \(0.340942\pi\)
\(74\) 17.9487 + 15.0607i 2.08649 + 1.75077i
\(75\) 11.4921 0.447495i 1.32700 0.0516723i
\(76\) 15.7856 8.28069i 1.81073 0.949860i
\(77\) 1.67094 1.21401i 0.190422 0.138349i
\(78\) 8.40516 5.25213i 0.951697 0.594686i
\(79\) −0.212377 6.08169i −0.0238943 0.684244i −0.950954 0.309331i \(-0.899895\pi\)
0.927060 0.374913i \(-0.122327\pi\)
\(80\) 4.94483 + 8.87864i 0.552848 + 0.992662i
\(81\) −10.5213 + 1.47867i −1.16903 + 0.164297i
\(82\) 7.35583 + 2.67730i 0.812316 + 0.295659i
\(83\) 0.157896 0.175361i 0.0173313 0.0192483i −0.734417 0.678699i \(-0.762544\pi\)
0.751748 + 0.659450i \(0.229211\pi\)
\(84\) −12.9649 + 5.77232i −1.41458 + 0.629812i
\(85\) 8.64612 3.69055i 0.937803 0.400297i
\(86\) −2.63874 + 10.5834i −0.284543 + 1.14124i
\(87\) −5.70346 + 2.53934i −0.611475 + 0.272246i
\(88\) 0.737834 7.02002i 0.0786534 0.748337i
\(89\) 3.38195 0.969758i 0.358486 0.102794i −0.0915601 0.995800i \(-0.529185\pi\)
0.450046 + 0.893005i \(0.351408\pi\)
\(90\) 8.95590 + 8.92003i 0.944035 + 0.940254i
\(91\) −1.15486 + 2.36781i −0.121062 + 0.248214i
\(92\) 16.8682 + 21.5903i 1.75863 + 2.25094i
\(93\) −10.9850 9.21748i −1.13909 0.955809i
\(94\) 1.60834 + 4.94996i 0.165888 + 0.510550i
\(95\) 9.62129 + 1.55912i 0.987123 + 0.159963i
\(96\) −0.641880 + 1.97550i −0.0655116 + 0.201624i
\(97\) −13.4328 + 8.39375i −1.36389 + 0.852256i −0.996954 0.0779889i \(-0.975150\pi\)
−0.366940 + 0.930245i \(0.619595\pi\)
\(98\) −6.51837 + 9.66388i −0.658455 + 0.976200i
\(99\) −0.544558 3.08834i −0.0547301 0.310390i
\(100\) −2.76445 + 20.2597i −0.276445 + 2.02597i
\(101\) 8.77449 + 3.19365i 0.873095 + 0.317781i 0.739420 0.673245i \(-0.235100\pi\)
0.133675 + 0.991025i \(0.457322\pi\)
\(102\) 21.8002 + 9.70608i 2.15854 + 0.961045i
\(103\) 9.63610 + 10.7020i 0.949473 + 1.05450i 0.998448 + 0.0556968i \(0.0177380\pi\)
−0.0489745 + 0.998800i \(0.515595\pi\)
\(104\) 3.37273 + 8.34779i 0.330723 + 0.818569i
\(105\) −7.56446 1.73041i −0.738216 0.168871i
\(106\) −10.2102 2.17026i −0.991707 0.210794i
\(107\) −3.60221 6.23921i −0.348239 0.603167i 0.637698 0.770287i \(-0.279887\pi\)
−0.985937 + 0.167119i \(0.946553\pi\)
\(108\) 0.232831 6.66742i 0.0224042 0.641572i
\(109\) −0.628813 + 0.607237i −0.0602293 + 0.0581628i −0.724164 0.689628i \(-0.757774\pi\)
0.663935 + 0.747791i \(0.268885\pi\)
\(110\) 5.14063 5.53488i 0.490140 0.527730i
\(111\) −12.2126 + 18.1060i −1.15917 + 1.71854i
\(112\) −1.65887 6.65335i −0.156748 0.628682i
\(113\) −14.9251 10.8437i −1.40404 1.02009i −0.994156 0.107952i \(-0.965571\pi\)
−0.409880 0.912139i \(-0.634429\pi\)
\(114\) 13.7206 + 20.5885i 1.28505 + 1.92829i
\(115\) 0.291510 + 14.9782i 0.0271835 + 1.39673i
\(116\) −2.68530 10.7702i −0.249324 0.999984i
\(117\) 2.46262 + 3.15201i 0.227669 + 0.291403i
\(118\) −4.51641 25.6139i −0.415770 2.35795i
\(119\) −6.28121 + 0.882767i −0.575798 + 0.0809231i
\(120\) −21.6934 + 15.2548i −1.98032 + 1.39257i
\(121\) 8.92649 1.89738i 0.811499 0.172490i
\(122\) 22.0977 + 24.5419i 2.00063 + 2.22192i
\(123\) −1.76518 + 7.07976i −0.159161 + 0.638361i
\(124\) 19.5303 16.3879i 1.75387 1.47167i
\(125\) −7.85796 + 7.95314i −0.702838 + 0.711350i
\(126\) −4.26431 7.38601i −0.379895 0.657998i
\(127\) 9.69919 2.78120i 0.860664 0.246791i 0.183858 0.982953i \(-0.441141\pi\)
0.676806 + 0.736161i \(0.263364\pi\)
\(128\) 16.5446 + 8.79690i 1.46235 + 0.777544i
\(129\) −10.0680 1.41497i −0.886439 0.124581i
\(130\) −2.47504 + 9.31168i −0.217075 + 0.816688i
\(131\) −1.67388 + 4.14301i −0.146248 + 0.361976i −0.982472 0.186412i \(-0.940314\pi\)
0.836224 + 0.548388i \(0.184758\pi\)
\(132\) 12.8772 1.12082
\(133\) −5.99280 2.70833i −0.519642 0.234842i
\(134\) −2.15673 1.56696i −0.186313 0.135365i
\(135\) 2.28998 2.83952i 0.197090 0.244387i
\(136\) −12.1219 + 17.9715i −1.03945 + 1.54105i
\(137\) −0.473074 + 0.969945i −0.0404174 + 0.0828680i −0.918047 0.396471i \(-0.870235\pi\)
0.877630 + 0.479339i \(0.159124\pi\)
\(138\) −27.3553 + 26.4167i −2.32863 + 2.24874i
\(139\) 13.7469 3.94186i 1.16600 0.334345i 0.363843 0.931460i \(-0.381465\pi\)
0.802155 + 0.597116i \(0.203687\pi\)
\(140\) 5.36516 12.7104i 0.453439 1.07422i
\(141\) −4.43195 + 1.97323i −0.373237 + 0.166176i
\(142\) −1.20160 0.750843i −0.100836 0.0630093i
\(143\) 1.83115 1.53652i 0.153129 0.128490i
\(144\) −10.1838 2.16463i −0.848650 0.180386i
\(145\) 2.36023 5.59151i 0.196006 0.464350i
\(146\) 11.9351 15.2762i 0.987755 1.26427i
\(147\) −9.59359 5.10100i −0.791266 0.420723i
\(148\) −27.9313 26.9729i −2.29594 2.21716i
\(149\) −6.66933 + 2.42744i −0.546373 + 0.198863i −0.600434 0.799674i \(-0.705006\pi\)
0.0540614 + 0.998538i \(0.482783\pi\)
\(150\) −28.3669 0.876633i −2.31615 0.0715768i
\(151\) 21.5420 1.75306 0.876530 0.481347i \(-0.159852\pi\)
0.876530 + 0.481347i \(0.159852\pi\)
\(152\) −20.5829 + 9.02684i −1.66950 + 0.732173i
\(153\) −2.97607 + 9.15939i −0.240601 + 0.740493i
\(154\) −4.32230 + 2.70087i −0.348301 + 0.217643i
\(155\) 13.9197 0.757509i 1.11805 0.0608446i
\(156\) −14.5024 + 7.71104i −1.16112 + 0.617378i
\(157\) −4.07687 + 23.1211i −0.325370 + 1.84526i 0.181694 + 0.983355i \(0.441842\pi\)
−0.507064 + 0.861908i \(0.669269\pi\)
\(158\) −0.524081 + 15.0077i −0.0416936 + 1.19395i
\(159\) 1.01703 9.67642i 0.0806560 0.767390i
\(160\) −0.857058 1.82838i −0.0677563 0.144546i
\(161\) 2.44536 9.80779i 0.192721 0.772962i
\(162\) 26.1546 1.82891i 2.05490 0.143692i
\(163\) 10.9948 4.89519i 0.861178 0.383421i 0.0718667 0.997414i \(-0.477104\pi\)
0.789311 + 0.613993i \(0.210438\pi\)
\(164\) −11.8510 5.27640i −0.925406 0.412017i
\(165\) 5.63174 + 4.22613i 0.438430 + 0.329004i
\(166\) −0.418874 + 0.404502i −0.0325109 + 0.0313954i
\(167\) 3.64750 1.93941i 0.282252 0.150076i −0.322310 0.946634i \(-0.604459\pi\)
0.604562 + 0.796558i \(0.293348\pi\)
\(168\) 16.8145 6.11998i 1.29727 0.472167i
\(169\) 3.72772 9.22644i 0.286748 0.709726i
\(170\) −21.9192 + 7.59663i −1.68113 + 0.582635i
\(171\) −7.68479 + 6.37557i −0.587670 + 0.487552i
\(172\) 5.58577 17.1912i 0.425911 1.31082i
\(173\) 16.5032 + 1.15402i 1.25471 + 0.0877382i 0.681593 0.731732i \(-0.261288\pi\)
0.573122 + 0.819470i \(0.305732\pi\)
\(174\) 14.4772 5.26927i 1.09751 0.399462i
\(175\) 6.51778 3.79800i 0.492698 0.287102i
\(176\) −1.08042 + 6.12734i −0.0814394 + 0.461866i
\(177\) 23.3042 6.68237i 1.75165 0.502277i
\(178\) −8.49220 + 1.80507i −0.636517 + 0.135296i
\(179\) 4.71916 + 5.24116i 0.352727 + 0.391743i 0.893231 0.449599i \(-0.148433\pi\)
−0.540504 + 0.841342i \(0.681766\pi\)
\(180\) −13.7745 15.7817i −1.02669 1.17630i
\(181\) −3.56950 2.23047i −0.265319 0.165790i 0.390736 0.920503i \(-0.372221\pi\)
−0.656055 + 0.754713i \(0.727776\pi\)
\(182\) 3.25047 5.62998i 0.240941 0.417322i
\(183\) −20.5975 + 22.8759i −1.52261 + 1.69103i
\(184\) −19.3174 28.6392i −1.42410 2.11131i
\(185\) −3.36335 20.9630i −0.247278 1.54123i
\(186\) 25.4548 + 24.5814i 1.86643 + 1.80240i
\(187\) 5.53245 + 1.58640i 0.404573 + 0.116009i
\(188\) −2.08665 8.36909i −0.152184 0.610379i
\(189\) −1.99123 + 1.44671i −0.144841 + 0.105233i
\(190\) −23.4161 5.49424i −1.69878 0.398594i
\(191\) −9.19722 6.68217i −0.665488 0.483505i 0.203024 0.979174i \(-0.434923\pi\)
−0.868512 + 0.495669i \(0.834923\pi\)
\(192\) −5.91217 + 14.6331i −0.426674 + 1.05605i
\(193\) 16.8941 6.14894i 1.21606 0.442610i 0.347259 0.937769i \(-0.387112\pi\)
0.868802 + 0.495159i \(0.164890\pi\)
\(194\) 34.5121 18.3504i 2.47782 1.31748i
\(195\) −8.87314 1.38712i −0.635419 0.0993338i
\(196\) 11.8932 15.2226i 0.849512 1.08733i
\(197\) 17.6819 3.75841i 1.25978 0.267775i 0.470828 0.882225i \(-0.343955\pi\)
0.788956 + 0.614450i \(0.210622\pi\)
\(198\) 0.808907 + 7.69623i 0.0574865 + 0.546948i
\(199\) 2.87996 2.41658i 0.204155 0.171307i −0.534978 0.844866i \(-0.679680\pi\)
0.739133 + 0.673560i \(0.235236\pi\)
\(200\) 5.25893 25.2389i 0.371862 1.78466i
\(201\) 1.24245 2.15198i 0.0876354 0.151789i
\(202\) −21.0502 9.37216i −1.48109 0.659423i
\(203\) −2.52116 + 3.22694i −0.176951 + 0.226487i
\(204\) −34.9175 18.5660i −2.44472 1.29988i
\(205\) −3.45128 6.19692i −0.241048 0.432811i
\(206\) −21.8788 28.0035i −1.52437 1.95110i
\(207\) −11.7568 9.86516i −0.817157 0.685676i
\(208\) −2.45236 7.54760i −0.170041 0.523332i
\(209\) 3.96804 + 4.45671i 0.274475 + 0.308277i
\(210\) 18.3234 + 5.56184i 1.26443 + 0.383804i
\(211\) −11.0057 0.769591i −0.757661 0.0529808i −0.314300 0.949324i \(-0.601770\pi\)
−0.443361 + 0.896343i \(0.646214\pi\)
\(212\) 16.6285 + 4.76813i 1.14205 + 0.327477i
\(213\) 0.578962 1.18705i 0.0396698 0.0813352i
\(214\) 7.79348 + 15.9790i 0.532751 + 1.09230i
\(215\) 8.08481 5.68526i 0.551380 0.387731i
\(216\) −0.879261 + 8.36561i −0.0598261 + 0.569208i
\(217\) −9.20026 1.95558i −0.624554 0.132753i
\(218\) 1.65246 1.38658i 0.111919 0.0939110i
\(219\) 15.3240 + 9.57551i 1.03550 + 0.647053i
\(220\) −9.13821 + 8.55587i −0.616098 + 0.576836i
\(221\) −7.18062 + 1.52629i −0.483020 + 0.102669i
\(222\) 33.1802 42.4688i 2.22691 2.85032i
\(223\) 6.73236 + 13.8034i 0.450832 + 0.924342i 0.996278 + 0.0861965i \(0.0274713\pi\)
−0.545446 + 0.838146i \(0.683640\pi\)
\(224\) 0.236588 + 1.34176i 0.0158077 + 0.0896499i
\(225\) −0.844822 11.4226i −0.0563215 0.761506i
\(226\) 34.8742 + 29.2629i 2.31980 + 1.94654i
\(227\) −20.9370 + 15.2116i −1.38964 + 1.00963i −0.393734 + 0.919224i \(0.628817\pi\)
−0.995905 + 0.0904074i \(0.971183\pi\)
\(228\) −20.3025 35.6226i −1.34457 2.35916i
\(229\) −5.28004 + 16.2503i −0.348915 + 1.07385i 0.610539 + 0.791986i \(0.290953\pi\)
−0.959454 + 0.281864i \(0.909047\pi\)
\(230\) 1.86070 36.9217i 0.122691 2.43455i
\(231\) −2.92486 3.74365i −0.192442 0.246314i
\(232\) 2.43024 + 13.7826i 0.159553 + 0.904870i
\(233\) −26.1548 + 3.67581i −1.71346 + 0.240811i −0.926526 0.376231i \(-0.877220\pi\)
−0.786931 + 0.617041i \(0.788331\pi\)
\(234\) −5.51960 8.18314i −0.360827 0.534948i
\(235\) 1.83404 4.34496i 0.119640 0.283434i
\(236\) 4.50543 + 42.8663i 0.293279 + 2.79036i
\(237\) −13.9633 + 0.976410i −0.907015 + 0.0634247i
\(238\) 15.6143 1.09186i 1.01212 0.0707746i
\(239\) 1.14391 + 10.8836i 0.0739933 + 0.703999i 0.967142 + 0.254237i \(0.0818244\pi\)
−0.893149 + 0.449762i \(0.851509\pi\)
\(240\) 20.0130 12.0797i 1.29183 0.779742i
\(241\) 6.30379 + 9.34575i 0.406063 + 0.602013i 0.975494 0.220026i \(-0.0706143\pi\)
−0.569431 + 0.822039i \(0.692836\pi\)
\(242\) −22.3008 + 3.13417i −1.43355 + 0.201472i
\(243\) 3.39386 + 19.2475i 0.217716 + 1.23473i
\(244\) −33.6942 43.1267i −2.15705 2.76090i
\(245\) 10.1972 2.75428i 0.651476 0.175964i
\(246\) 5.56400 17.1242i 0.354748 1.09180i
\(247\) −7.13755 2.64305i −0.454151 0.168173i
\(248\) −26.0060 + 18.8945i −1.65138 + 1.19980i
\(249\) −0.415788 0.348888i −0.0263495 0.0221098i
\(250\) 20.7128 18.2254i 1.30999 1.15268i
\(251\) −2.76534 15.6830i −0.174546 0.989902i −0.938666 0.344827i \(-0.887937\pi\)
0.764120 0.645074i \(-0.223174\pi\)
\(252\) 6.19583 + 12.7033i 0.390301 + 0.800235i
\(253\) −5.64669 + 7.22743i −0.355004 + 0.454385i
\(254\) −24.3550 + 5.17682i −1.52817 + 0.324823i
\(255\) −9.17777 19.5791i −0.574734 1.22609i
\(256\) −27.5755 17.2311i −1.72347 1.07694i
\(257\) −20.3489 + 17.0748i −1.26933 + 1.06510i −0.274710 + 0.961527i \(0.588582\pi\)
−0.994622 + 0.103569i \(0.966974\pi\)
\(258\) 24.5406 + 5.21627i 1.52783 + 0.324751i
\(259\) −1.49738 + 14.2466i −0.0930428 + 0.885243i
\(260\) 5.16812 15.1077i 0.320513 0.936941i
\(261\) 2.72565 + 5.58841i 0.168714 + 0.345914i
\(262\) 4.83373 9.91061i 0.298629 0.612279i
\(263\) −2.51784 0.721979i −0.155257 0.0445191i 0.197109 0.980382i \(-0.436845\pi\)
−0.352365 + 0.935862i \(0.614623\pi\)
\(264\) −16.1966 1.13258i −0.996832 0.0697053i
\(265\) 5.70747 + 7.54253i 0.350607 + 0.463334i
\(266\) 14.2861 + 7.69863i 0.875939 + 0.472033i
\(267\) −2.50073 7.69645i −0.153042 0.471015i
\(268\) 3.38432 + 2.83978i 0.206730 + 0.173467i
\(269\) 8.36928 + 10.7122i 0.510284 + 0.653134i 0.972300 0.233738i \(-0.0750958\pi\)
−0.462016 + 0.886872i \(0.652874\pi\)
\(270\) −6.12598 + 6.59580i −0.372815 + 0.401407i
\(271\) 12.7465 + 6.77742i 0.774293 + 0.411699i 0.809082 0.587696i \(-0.199965\pi\)
−0.0347888 + 0.999395i \(0.511076\pi\)
\(272\) 11.7639 15.0570i 0.713288 0.912967i
\(273\) 5.53573 + 2.46467i 0.335038 + 0.149168i
\(274\) 1.33152 2.30626i 0.0804400 0.139326i
\(275\) −6.80443 + 0.742795i −0.410323 + 0.0447922i
\(276\) 48.2769 40.5091i 2.90593 2.43836i
\(277\) 0.958559 + 9.12008i 0.0575942 + 0.547972i 0.984833 + 0.173503i \(0.0555085\pi\)
−0.927239 + 0.374470i \(0.877825\pi\)
\(278\) −34.5190 + 7.33724i −2.07031 + 0.440058i
\(279\) −8.79239 + 11.2538i −0.526387 + 0.673744i
\(280\) −7.86605 + 15.5149i −0.470086 + 0.927191i
\(281\) −15.4950 + 8.23884i −0.924354 + 0.491488i −0.862194 0.506578i \(-0.830910\pi\)
−0.0621604 + 0.998066i \(0.519799\pi\)
\(282\) 11.2497 4.09455i 0.669909 0.243827i
\(283\) 4.92650 12.1935i 0.292850 0.724830i −0.706995 0.707219i \(-0.749950\pi\)
0.999845 0.0176109i \(-0.00560601\pi\)
\(284\) 1.89966 + 1.38018i 0.112724 + 0.0818988i
\(285\) 2.81171 22.2422i 0.166552 1.31752i
\(286\) −4.77220 + 3.46721i −0.282186 + 0.205020i
\(287\) 1.15782 + 4.64376i 0.0683439 + 0.274112i
\(288\) 1.98854 + 0.570204i 0.117176 + 0.0335996i
\(289\) −0.485637 0.468974i −0.0285669 0.0275867i
\(290\) −6.77262 + 13.3582i −0.397702 + 0.784421i
\(291\) 20.3735 + 30.2050i 1.19432 + 1.77065i
\(292\) −21.4968 + 23.8746i −1.25800 + 1.39715i
\(293\) 12.0035 20.7906i 0.701251 1.21460i −0.266776 0.963758i \(-0.585958\pi\)
0.968027 0.250844i \(-0.0807082\pi\)
\(294\) 22.7382 + 14.2084i 1.32612 + 0.828652i
\(295\) −12.0977 + 20.2258i −0.704357 + 1.17759i
\(296\) 32.7589 + 36.3824i 1.90407 + 2.11468i
\(297\) 2.18450 0.464330i 0.126758 0.0269432i
\(298\) 16.8356 4.82753i 0.975259 0.279651i
\(299\) 2.03144 11.5209i 0.117481 0.666269i
\(300\) 46.7942 + 4.72848i 2.70166 + 0.272999i
\(301\) −6.26653 + 2.28083i −0.361197 + 0.131465i
\(302\) −53.0294 3.70817i −3.05150 0.213381i
\(303\) 6.63709 20.4269i 0.381291 1.17349i
\(304\) 18.6536 6.67173i 1.06986 0.382650i
\(305\) −0.582293 29.9190i −0.0333420 1.71316i
\(306\) 8.90279 22.0352i 0.508938 1.25967i
\(307\) −22.3444 + 8.13269i −1.27526 + 0.464157i −0.888862 0.458175i \(-0.848503\pi\)
−0.386399 + 0.922332i \(0.626281\pi\)
\(308\) 7.45775 3.96536i 0.424945 0.225947i
\(309\) 23.8278 23.0102i 1.35551 1.30901i
\(310\) −34.3961 0.531351i −1.95357 0.0301787i
\(311\) 13.9568 + 6.21398i 0.791420 + 0.352363i 0.762309 0.647213i \(-0.224066\pi\)
0.0291108 + 0.999576i \(0.490732\pi\)
\(312\) 18.9189 8.42322i 1.07107 0.476871i
\(313\) 28.5037 1.99318i 1.61113 0.112661i 0.764419 0.644720i \(-0.223026\pi\)
0.846708 + 0.532059i \(0.178581\pi\)
\(314\) 14.0159 56.2149i 0.790965 3.17239i
\(315\) −1.45937 + 7.58908i −0.0822262 + 0.427596i
\(316\) 2.60131 24.7498i 0.146335 1.39229i
\(317\) −0.554830 + 15.8883i −0.0311624 + 0.892373i 0.878678 + 0.477415i \(0.158426\pi\)
−0.909840 + 0.414958i \(0.863796\pi\)
\(318\) −4.16928 + 23.6452i −0.233802 + 1.32595i
\(319\) 3.28079 1.74443i 0.183689 0.0976692i
\(320\) −5.52700 14.3124i −0.308969 0.800089i
\(321\) −14.0533 + 8.78148i −0.784379 + 0.490134i
\(322\) −7.70797 + 23.7227i −0.429548 + 1.32201i
\(323\) −4.33408 17.8057i −0.241154 0.990736i
\(324\) −43.4496 −2.41386
\(325\) 7.21838 4.91112i 0.400404 0.272420i
\(326\) −27.9083 + 10.1578i −1.54570 + 0.562587i
\(327\) 1.44637 + 1.39675i 0.0799846 + 0.0772402i
\(328\) 14.4418 + 7.67882i 0.797413 + 0.423992i
\(329\) −1.95910 + 2.50754i −0.108009 + 0.138245i
\(330\) −13.1360 11.3728i −0.723115 0.626052i
\(331\) 16.5146 + 3.51028i 0.907723 + 0.192942i 0.638037 0.770006i \(-0.279747\pi\)
0.269686 + 0.962948i \(0.413080\pi\)
\(332\) 0.739234 0.620291i 0.0405707 0.0340429i
\(333\) 18.4454 + 11.5260i 1.01080 + 0.631619i
\(334\) −9.31282 + 4.14633i −0.509575 + 0.226877i
\(335\) 0.548124 + 2.35264i 0.0299472 + 0.128538i
\(336\) −15.1613 + 4.34744i −0.827117 + 0.237172i
\(337\) −24.1329 + 23.3048i −1.31460 + 1.26950i −0.375085 + 0.926990i \(0.622387\pi\)
−0.939516 + 0.342506i \(0.888724\pi\)
\(338\) −10.7647 + 22.0708i −0.585521 + 1.20050i
\(339\) −23.7291 + 35.1798i −1.28879 + 1.91070i
\(340\) 37.1145 10.0247i 2.01282 0.543664i
\(341\) 6.90459 + 5.01648i 0.373905 + 0.271658i
\(342\) 20.0149 14.3718i 1.08228 0.777136i
\(343\) −17.6879 −0.955057
\(344\) −8.53762 + 21.1314i −0.460318 + 1.13933i
\(345\) 34.4080 1.87248i 1.85246 0.100811i
\(346\) −40.4269 5.68163i −2.17336 0.305446i
\(347\) −26.2374 13.9507i −1.40850 0.748911i −0.421076 0.907025i \(-0.638348\pi\)
−0.987421 + 0.158114i \(0.949459\pi\)
\(348\) −24.5425 + 7.03744i −1.31562 + 0.377247i
\(349\) −3.38812 5.86839i −0.181362 0.314128i 0.760983 0.648772i \(-0.224717\pi\)
−0.942345 + 0.334644i \(0.891384\pi\)
\(350\) −16.6984 + 8.22749i −0.892569 + 0.439778i
\(351\) −2.18215 + 1.83104i −0.116474 + 0.0977335i
\(352\) 0.299077 1.19953i 0.0159408 0.0639352i
\(353\) 21.5069 + 23.8858i 1.14470 + 1.27131i 0.957321 + 0.289026i \(0.0933313\pi\)
0.187375 + 0.982288i \(0.440002\pi\)
\(354\) −58.5176 + 12.4383i −3.11018 + 0.661089i
\(355\) 0.377841 + 1.22705i 0.0200537 + 0.0651252i
\(356\) 14.2478 2.00239i 0.755130 0.106127i
\(357\) 2.53349 + 14.3682i 0.134087 + 0.760444i
\(358\) −10.7149 13.7144i −0.566298 0.724828i
\(359\) 0.776828 + 3.11569i 0.0409994 + 0.164440i 0.987306 0.158832i \(-0.0507728\pi\)
−0.946306 + 0.323272i \(0.895217\pi\)
\(360\) 15.9372 + 21.0613i 0.839962 + 1.11003i
\(361\) 6.07261 18.0034i 0.319611 0.947549i
\(362\) 8.40302 + 6.10515i 0.441653 + 0.320880i
\(363\) −5.07821 20.3676i −0.266537 1.06902i
\(364\) −6.02443 + 8.93159i −0.315766 + 0.468143i
\(365\) −17.2367 + 3.38639i −0.902211 + 0.177252i
\(366\) 54.6422 52.7674i 2.85619 2.75819i
\(367\) 0.937257 26.8395i 0.0489244 1.40101i −0.688331 0.725397i \(-0.741656\pi\)
0.737255 0.675614i \(-0.236122\pi\)
\(368\) 15.2249 + 26.3703i 0.793652 + 1.37464i
\(369\) 7.10786 + 1.51082i 0.370021 + 0.0786503i
\(370\) 4.67096 + 52.1832i 0.242832 + 2.71287i
\(371\) −2.39071 5.91721i −0.124119 0.307206i
\(372\) −39.2396 43.5800i −2.03448 2.25952i
\(373\) 19.5767 + 8.71611i 1.01364 + 0.451303i 0.845224 0.534412i \(-0.179467\pi\)
0.168419 + 0.985715i \(0.446134\pi\)
\(374\) −13.3460 4.85755i −0.690106 0.251178i
\(375\) 18.9132 + 17.4252i 0.976673 + 0.899831i
\(376\) 1.88845 + 10.7099i 0.0973893 + 0.552322i
\(377\) −2.65025 + 3.92916i −0.136495 + 0.202362i
\(378\) 5.15079 3.21857i 0.264928 0.165546i
\(379\) −2.69817 + 8.30412i −0.138596 + 0.426554i −0.996132 0.0878696i \(-0.971994\pi\)
0.857536 + 0.514424i \(0.171994\pi\)
\(380\) 38.0758 + 11.7899i 1.95325 + 0.604808i
\(381\) −7.17192 22.0729i −0.367428 1.13083i
\(382\) 21.4903 + 18.0325i 1.09954 + 0.922625i
\(383\) 15.7364 + 20.1417i 0.804092 + 1.02919i 0.998831 + 0.0483362i \(0.0153919\pi\)
−0.194739 + 0.980855i \(0.562386\pi\)
\(384\) 18.8939 38.7382i 0.964175 1.97685i
\(385\) 4.56296 + 0.713319i 0.232550 + 0.0363541i
\(386\) −42.6462 + 12.2286i −2.17063 + 0.622419i
\(387\) −1.05839 + 10.0699i −0.0538010 + 0.511882i
\(388\) −59.1759 + 26.3468i −3.00420 + 1.33756i
\(389\) −1.15571 + 4.63532i −0.0585971 + 0.235020i −0.992452 0.122631i \(-0.960867\pi\)
0.933855 + 0.357651i \(0.116422\pi\)
\(390\) 21.6040 + 4.94204i 1.09396 + 0.250250i
\(391\) 25.7317 11.4565i 1.30131 0.579380i
\(392\) −16.2978 + 18.1005i −0.823161 + 0.914213i
\(393\) 9.65816 + 3.51528i 0.487190 + 0.177323i
\(394\) −44.1741 + 6.20827i −2.22546 + 0.312768i
\(395\) 9.26021 9.97040i 0.465932 0.501665i
\(396\) −0.447570 12.8167i −0.0224913 0.644066i
\(397\) 25.1855 15.7376i 1.26402 0.789849i 0.278672 0.960386i \(-0.410106\pi\)
0.985351 + 0.170537i \(0.0545502\pi\)
\(398\) −7.50553 + 5.45308i −0.376218 + 0.273338i
\(399\) −5.74475 + 13.9934i −0.287597 + 0.700548i
\(400\) −6.17604 + 21.8693i −0.308802 + 1.09346i
\(401\) −11.4344 9.59456i −0.571004 0.479130i 0.310975 0.950418i \(-0.399345\pi\)
−0.881979 + 0.471289i \(0.843789\pi\)
\(402\) −3.42894 + 5.08361i −0.171020 + 0.253547i
\(403\) −10.7799 1.51502i −0.536985 0.0754684i
\(404\) 33.7163 + 17.9273i 1.67745 + 0.891915i
\(405\) −19.0023 14.2596i −0.944231 0.708563i
\(406\) 6.76177 7.50970i 0.335581 0.372700i
\(407\) 6.49909 11.2568i 0.322148 0.557977i
\(408\) 42.2854 + 26.4228i 2.09344 + 1.30813i
\(409\) −22.7447 + 1.59047i −1.12466 + 0.0786436i −0.619945 0.784645i \(-0.712845\pi\)
−0.504710 + 0.863289i \(0.668401\pi\)
\(410\) 7.42922 + 15.8489i 0.366903 + 0.782721i
\(411\) 2.26765 + 1.00962i 0.111855 + 0.0498010i
\(412\) 32.9322 + 48.8240i 1.62245 + 2.40539i
\(413\) 11.4387 11.0462i 0.562862 0.543550i
\(414\) 27.2434 + 26.3086i 1.33894 + 1.29300i
\(415\) 0.526868 0.0286722i 0.0258629 0.00140746i
\(416\) 0.381473 + 1.53001i 0.0187033 + 0.0750147i
\(417\) −10.1649 31.2845i −0.497779 1.53201i
\(418\) −9.00086 11.6540i −0.440246 0.570017i
\(419\) −3.76971 11.6020i −0.184162 0.566793i 0.815771 0.578375i \(-0.196313\pi\)
−0.999933 + 0.0115825i \(0.996313\pi\)
\(420\) −29.6488 11.3129i −1.44672 0.552014i
\(421\) 0.568197 + 16.2710i 0.0276922 + 0.793002i 0.931217 + 0.364466i \(0.118748\pi\)
−0.903525 + 0.428536i \(0.859029\pi\)
\(422\) 26.9599 + 3.78897i 1.31239 + 0.184444i
\(423\) 2.11800 + 4.34255i 0.102981 + 0.211142i
\(424\) −20.4954 7.45973i −0.995346 0.362276i
\(425\) 19.5217 + 7.79629i 0.946940 + 0.378175i
\(426\) −1.62955 + 2.82247i −0.0789521 + 0.136749i
\(427\) −4.88461 + 19.5911i −0.236383 + 0.948080i
\(428\) −11.0368 27.3170i −0.533484 1.32042i
\(429\) −3.67909 4.08604i −0.177628 0.197276i
\(430\) −20.8808 + 12.6036i −1.00696 + 0.607798i
\(431\) −0.195862 + 5.60876i −0.00943435 + 0.270164i 0.985502 + 0.169661i \(0.0542674\pi\)
−0.994937 + 0.100503i \(0.967955\pi\)
\(432\) 1.28751 7.30183i 0.0619453 0.351309i
\(433\) −10.5415 + 5.60501i −0.506592 + 0.269359i −0.703034 0.711156i \(-0.748172\pi\)
0.196443 + 0.980515i \(0.437061\pi\)
\(434\) 22.3114 + 6.39770i 1.07098 + 0.307100i
\(435\) −13.0430 4.97674i −0.625365 0.238617i
\(436\) −2.89210 + 2.10123i −0.138507 + 0.100631i
\(437\) 28.8961 + 4.22564i 1.38229 + 0.202140i
\(438\) −36.0745 26.2097i −1.72371 1.25235i
\(439\) −33.0952 2.31424i −1.57955 0.110453i −0.747160 0.664644i \(-0.768583\pi\)
−0.832389 + 0.554191i \(0.813028\pi\)
\(440\) 12.2463 9.95760i 0.583819 0.474710i
\(441\) −4.74360 + 9.72583i −0.225886 + 0.463135i
\(442\) 17.9391 2.52117i 0.853275 0.119920i
\(443\) 14.8045 + 5.38841i 0.703385 + 0.256011i 0.668856 0.743392i \(-0.266784\pi\)
0.0345296 + 0.999404i \(0.489007\pi\)
\(444\) −59.7622 + 66.3727i −2.83619 + 3.14991i
\(445\) 6.88829 + 3.80019i 0.326536 + 0.180146i
\(446\) −14.1968 35.1383i −0.672239 1.66385i
\(447\) 6.11548 + 15.1363i 0.289252 + 0.715925i
\(448\) 1.08207 + 10.2952i 0.0511232 + 0.486404i
\(449\) 20.1475 + 34.8966i 0.950821 + 1.64687i 0.743653 + 0.668566i \(0.233091\pi\)
0.207168 + 0.978305i \(0.433575\pi\)
\(450\) 0.113426 + 28.2642i 0.00534696 + 1.33238i
\(451\) 0.754085 4.27663i 0.0355085 0.201379i
\(452\) −54.2703 52.4083i −2.55266 2.46508i
\(453\) −1.72927 49.5199i −0.0812483 2.32665i
\(454\) 54.1587 33.8421i 2.54179 1.58829i
\(455\) −5.56596 + 1.92901i −0.260936 + 0.0904336i
\(456\) 22.4029 + 46.5907i 1.04911 + 2.18181i
\(457\) 39.4777 1.84669 0.923345 0.383971i \(-0.125444\pi\)
0.923345 + 0.383971i \(0.125444\pi\)
\(458\) 15.7950 39.0941i 0.738054 1.82675i
\(459\) −6.59290 1.89048i −0.307730 0.0882402i
\(460\) −7.34427 + 60.8230i −0.342429 + 2.83589i
\(461\) 4.01322 + 8.22832i 0.186914 + 0.383231i 0.971588 0.236678i \(-0.0760585\pi\)
−0.784674 + 0.619909i \(0.787170\pi\)
\(462\) 6.55564 + 9.71914i 0.304996 + 0.452175i
\(463\) −2.92293 + 27.8098i −0.135840 + 1.29243i 0.688042 + 0.725671i \(0.258470\pi\)
−0.823882 + 0.566761i \(0.808196\pi\)
\(464\) −1.28947 12.2685i −0.0598620 0.569549i
\(465\) −2.85873 31.9372i −0.132570 1.48105i
\(466\) 65.0174 4.54646i 3.01187 0.210611i
\(467\) −12.9628 2.75532i −0.599846 0.127501i −0.102026 0.994782i \(-0.532533\pi\)
−0.497820 + 0.867280i \(0.665866\pi\)
\(468\) 8.17888 + 14.1662i 0.378069 + 0.654835i
\(469\) 0.0568824 1.62890i 0.00262658 0.0752155i
\(470\) −5.26275 + 10.3802i −0.242753 + 0.478802i
\(471\) 53.4772 + 7.51573i 2.46410 + 0.346306i
\(472\) −1.89663 54.3123i −0.0872994 2.49993i
\(473\) 6.03625 + 0.422096i 0.277547 + 0.0194080i
\(474\) 34.5413 1.58653
\(475\) 12.7828 + 17.6522i 0.586517 + 0.809937i
\(476\) −25.9394 −1.18893
\(477\) −9.66633 0.675936i −0.442591 0.0309490i
\(478\) −0.942467 26.9887i −0.0431074 1.23444i
\(479\) 38.7915 + 5.45179i 1.77243 + 0.249099i 0.948316 0.317327i \(-0.102785\pi\)
0.824113 + 0.566426i \(0.191674\pi\)
\(480\) −4.13421 + 2.11694i −0.188700 + 0.0966249i
\(481\) −0.578607 + 16.5691i −0.0263822 + 0.755487i
\(482\) −13.9091 24.0913i −0.633544 1.09733i
\(483\) −22.7421 4.83398i −1.03480 0.219954i
\(484\) 37.2294 2.60333i 1.69225 0.118333i
\(485\) −34.5267 7.89818i −1.56778 0.358638i
\(486\) −5.04137 47.9654i −0.228681 2.17575i
\(487\) 1.77454 16.8836i 0.0804121 0.765070i −0.877803 0.479022i \(-0.840991\pi\)
0.958215 0.286049i \(-0.0923419\pi\)
\(488\) 38.5866 + 57.2070i 1.74673 + 2.58964i
\(489\) −12.1355 24.8815i −0.548786 1.12518i
\(490\) −25.5764 + 5.02482i −1.15542 + 0.226998i
\(491\) −9.37767 2.68900i −0.423208 0.121353i 0.0572718 0.998359i \(-0.481760\pi\)
−0.480480 + 0.877006i \(0.659538\pi\)
\(492\) −11.1779 + 27.6662i −0.503937 + 1.24729i
\(493\) −11.4112 −0.513933
\(494\) 17.1154 + 7.73497i 0.770057 + 0.348013i
\(495\) 4.01054 5.75217i 0.180260 0.258541i
\(496\) 24.0288 15.0149i 1.07893 0.674188i
\(497\) −0.0302328 0.865753i −0.00135613 0.0388343i
\(498\) 0.963479 + 0.930421i 0.0431745 + 0.0416932i
\(499\) 2.13258 12.0945i 0.0954673 0.541422i −0.899136 0.437670i \(-0.855804\pi\)
0.994603 0.103752i \(-0.0330849\pi\)
\(500\) −36.3488 + 27.7354i −1.62557 + 1.24036i
\(501\) −4.75105 8.22906i −0.212261 0.367647i
\(502\) 4.10774 + 39.0825i 0.183337 + 1.74434i
\(503\) −2.66009 6.58395i −0.118608 0.293564i 0.856188 0.516665i \(-0.172827\pi\)
−0.974795 + 0.223101i \(0.928382\pi\)
\(504\) −6.67566 16.5228i −0.297357 0.735985i
\(505\) 8.86203 + 18.9056i 0.394355 + 0.841286i
\(506\) 15.1444 16.8196i 0.673252 0.747722i
\(507\) −21.5086 7.82851i −0.955232 0.347676i
\(508\) 40.8616 5.74272i 1.81294 0.254792i
\(509\) −1.02155 + 2.09449i −0.0452795 + 0.0928367i −0.920234 0.391368i \(-0.872002\pi\)
0.874955 + 0.484204i \(0.160891\pi\)
\(510\) 19.2224 + 49.7773i 0.851183 + 2.20418i
\(511\) 11.8234 + 0.826776i 0.523038 + 0.0365744i
\(512\) 34.5974 + 25.1365i 1.52900 + 1.11089i
\(513\) −4.72862 5.31097i −0.208774 0.234485i
\(514\) 53.0317 38.5298i 2.33913 1.69948i
\(515\) −1.62077 + 32.1606i −0.0714195 + 1.41717i
\(516\) −39.9670 11.4603i −1.75945 0.504513i
\(517\) 2.54938 1.35553i 0.112122 0.0596161i
\(518\) 6.13845 34.8129i 0.269708 1.52959i
\(519\) 1.32802 38.0296i 0.0582937 1.66931i
\(520\) −7.82907 + 18.5475i −0.343327 + 0.813363i
\(521\) −20.6355 22.9181i −0.904059 1.00406i −0.999962 0.00866812i \(-0.997241\pi\)
0.0959039 0.995391i \(-0.469426\pi\)
\(522\) −5.74770 14.2261i −0.251570 0.622658i
\(523\) −2.82458 + 11.3288i −0.123510 + 0.495373i 0.876395 + 0.481593i \(0.159942\pi\)
−0.999905 + 0.0137794i \(0.995614\pi\)
\(524\) −9.13668 + 15.8252i −0.399138 + 0.691327i
\(525\) −9.25391 14.6779i −0.403874 0.640598i
\(526\) 6.07383 + 2.21069i 0.264832 + 0.0963908i
\(527\) −11.4897 23.5574i −0.500500 1.02618i
\(528\) 14.1720 + 1.99175i 0.616759 + 0.0866798i
\(529\) 0.763824 + 21.8731i 0.0332097 + 0.951003i
\(530\) −12.7516 19.5497i −0.553894 0.849187i
\(531\) −7.46096 22.9625i −0.323778 0.996487i
\(532\) −22.7275 14.3787i −0.985363 0.623395i
\(533\) 1.71165 + 5.26791i 0.0741396 + 0.228178i
\(534\) 4.83114 + 19.3767i 0.209064 + 0.838510i
\(535\) 4.13823 15.5690i 0.178911 0.673106i
\(536\) −4.00694 3.86945i −0.173073 0.167135i
\(537\) 11.6694 11.2690i 0.503570 0.486292i
\(538\) −18.7585 27.8106i −0.808736 1.19900i
\(539\) 5.90761 + 2.63024i 0.254459 + 0.113292i
\(540\) 10.8898 10.1958i 0.468623 0.438759i
\(541\) −28.4434 + 1.98895i −1.22288 + 0.0855118i −0.666555 0.745456i \(-0.732232\pi\)
−0.556321 + 0.830968i \(0.687787\pi\)
\(542\) −30.2111 18.8780i −1.29768 0.810878i
\(543\) −4.84079 + 8.38450i −0.207738 + 0.359813i
\(544\) −2.54042 + 2.82142i −0.108919 + 0.120967i
\(545\) −1.95443 0.0301920i −0.0837186 0.00129328i
\(546\) −13.2029 7.02012i −0.565033 0.300433i
\(547\) −6.29998 0.885404i −0.269368 0.0378572i 0.00319605 0.999995i \(-0.498983\pi\)
−0.272564 + 0.962138i \(0.587872\pi\)
\(548\) −2.46784 + 3.65872i −0.105421 + 0.156293i
\(549\) 23.4843 + 19.7057i 1.00229 + 0.841018i
\(550\) 16.8782 0.657225i 0.719688 0.0280242i
\(551\) −9.99822 6.32543i −0.425939 0.269472i
\(552\) −64.2841 + 46.7051i −2.73611 + 1.98790i
\(553\) −7.78609 + 4.86529i −0.331098 + 0.206893i
\(554\) −0.789757 22.6157i −0.0335536 0.960849i
\(555\) −47.9191 + 9.41435i −2.03405 + 0.399617i
\(556\) 57.9142 8.13931i 2.45611 0.345184i
\(557\) −13.7685 5.01132i −0.583390 0.212336i 0.0334300 0.999441i \(-0.489357\pi\)
−0.616820 + 0.787105i \(0.711579\pi\)
\(558\) 23.5812 26.1896i 0.998273 1.10869i
\(559\) −7.05080 + 3.13922i −0.298217 + 0.132775i
\(560\) 7.87058 13.1586i 0.332593 0.556052i
\(561\) 3.20265 12.8451i 0.135216 0.542322i
\(562\) 39.5619 17.6141i 1.66882 0.743006i
\(563\) 2.64758 25.1901i 0.111582 1.06163i −0.785224 0.619211i \(-0.787452\pi\)
0.896807 0.442423i \(-0.145881\pi\)
\(564\) −19.0711 + 5.46854i −0.803036 + 0.230267i
\(565\) −6.53497 40.7311i −0.274928 1.71357i
\(566\) −14.2264 + 29.1685i −0.597981 + 1.22604i
\(567\) 9.86889 + 12.6316i 0.414455 + 0.530478i
\(568\) −2.26795 1.90303i −0.0951609 0.0798495i
\(569\) −9.08660 27.9657i −0.380930 1.17238i −0.939390 0.342851i \(-0.888607\pi\)
0.558460 0.829532i \(-0.311393\pi\)
\(570\) −10.7502 + 54.2692i −0.450278 + 2.27308i
\(571\) −7.54971 + 23.2356i −0.315945 + 0.972380i 0.659418 + 0.751776i \(0.270803\pi\)
−0.975364 + 0.220604i \(0.929197\pi\)
\(572\) 8.29010 5.18023i 0.346626 0.216596i
\(573\) −14.6224 + 21.6786i −0.610861 + 0.905638i
\(574\) −2.05081 11.6307i −0.0855992 0.485457i
\(575\) −23.1732 + 24.1901i −0.966391 + 1.00880i
\(576\) 14.7699 + 5.37580i 0.615412 + 0.223992i
\(577\) 21.6688 + 9.64758i 0.902085 + 0.401634i 0.804748 0.593617i \(-0.202301\pi\)
0.0973376 + 0.995251i \(0.468967\pi\)
\(578\) 1.11475 + 1.23806i 0.0463676 + 0.0514964i
\(579\) −15.4911 38.3419i −0.643789 1.59343i
\(580\) 12.7406 21.3006i 0.529023 0.884457i
\(581\) −0.348236 0.0740198i −0.0144472 0.00307086i
\(582\) −44.9537 77.8621i −1.86339 3.22749i
\(583\) −0.202095 + 5.78724i −0.00836991 + 0.239683i
\(584\) 29.1378 28.1381i 1.20573 1.16436i
\(585\) −1.07221 + 8.87968i −0.0443303 + 0.367129i
\(586\) −33.1276 + 49.1136i −1.36849 + 2.02886i
\(587\) −1.41626 5.68030i −0.0584552 0.234451i 0.933961 0.357375i \(-0.116328\pi\)
−0.992416 + 0.122924i \(0.960773\pi\)
\(588\) −35.9478 26.1176i −1.48246 1.07707i
\(589\) 2.99127 27.0094i 0.123253 1.11290i
\(590\) 33.2623 47.7070i 1.36939 1.96407i
\(591\) −10.0591 40.3448i −0.413776 1.65956i
\(592\) −26.5679 34.0053i −1.09193 1.39761i
\(593\) 4.08198 + 23.1501i 0.167627 + 0.950659i 0.946315 + 0.323247i \(0.104775\pi\)
−0.778688 + 0.627412i \(0.784114\pi\)
\(594\) −5.45747 + 0.766997i −0.223923 + 0.0314703i
\(595\) −11.3444 8.51295i −0.465073 0.348997i
\(596\) −28.3903 + 6.03454i −1.16291 + 0.247184i
\(597\) −5.78633 6.42637i −0.236819 0.263014i
\(598\) −6.98392 + 28.0110i −0.285594 + 1.14545i
\(599\) −10.9810 + 9.21414i −0.448671 + 0.376480i −0.838942 0.544220i \(-0.816826\pi\)
0.390271 + 0.920700i \(0.372381\pi\)
\(600\) −58.4405 10.0630i −2.38582 0.410820i
\(601\) 14.6517 + 25.3774i 0.597654 + 1.03517i 0.993167 + 0.116706i \(0.0372335\pi\)
−0.395513 + 0.918460i \(0.629433\pi\)
\(602\) 15.8188 4.53597i 0.644726 0.184872i
\(603\) −2.18506 1.16182i −0.0889824 0.0473128i
\(604\) 87.2382 + 12.2605i 3.54967 + 0.498874i
\(605\) 17.1363 + 11.0796i 0.696691 + 0.450451i
\(606\) −19.8546 + 49.1418i −0.806538 + 1.99625i
\(607\) −3.49148 −0.141715 −0.0708574 0.997486i \(-0.522574\pi\)
−0.0708574 + 0.997486i \(0.522574\pi\)
\(608\) −3.78982 + 1.06386i −0.153698 + 0.0431454i
\(609\) 7.62036 + 5.53652i 0.308793 + 0.224351i
\(610\) −3.71677 + 73.7513i −0.150487 + 2.98610i
\(611\) −2.05941 + 3.05320i −0.0833149 + 0.123519i
\(612\) −17.2652 + 35.3989i −0.697903 + 1.43091i
\(613\) 24.7524 23.9032i 0.999742 0.965440i 0.000339272 1.00000i \(-0.499892\pi\)
0.999403 + 0.0345604i \(0.0110031\pi\)
\(614\) 56.4046 16.1738i 2.27630 0.652720i
\(615\) −13.9682 + 8.43113i −0.563252 + 0.339976i
\(616\) −9.72891 + 4.33159i −0.391989 + 0.174525i
\(617\) −15.8799 9.92284i −0.639299 0.399478i 0.171185 0.985239i \(-0.445240\pi\)
−0.810484 + 0.585761i \(0.800796\pi\)
\(618\) −62.6172 + 52.5421i −2.51883 + 2.11355i
\(619\) −29.5544 6.28198i −1.18789 0.252494i −0.428752 0.903422i \(-0.641047\pi\)
−0.759140 + 0.650928i \(0.774380\pi\)
\(620\) 56.8014 + 4.85466i 2.28120 + 0.194968i
\(621\) 6.72904 8.61277i 0.270027 0.345619i
\(622\) −33.2876 17.6993i −1.33471 0.709678i
\(623\) −3.81829 3.68728i −0.152977 0.147728i
\(624\) −17.1533 + 6.24329i −0.686681 + 0.249931i
\(625\) −24.9992 + 0.200651i −0.999968 + 0.00802602i
\(626\) −70.5101 −2.81815
\(627\) 9.92639 9.47934i 0.396422 0.378568i
\(628\) −29.6693 + 91.3128i −1.18394 + 3.64378i
\(629\) −33.8524 + 21.1533i −1.34978 + 0.843439i
\(630\) 4.89886 18.4306i 0.195175 0.734295i
\(631\) −15.9601 + 8.48614i −0.635362 + 0.337828i −0.755712 0.654904i \(-0.772709\pi\)
0.120351 + 0.992731i \(0.461598\pi\)
\(632\) −5.44865 + 30.9008i −0.216736 + 1.22917i
\(633\) −0.885632 + 25.3612i −0.0352007 + 1.00802i
\(634\) 4.10077 39.0162i 0.162862 1.54953i
\(635\) 19.7551 + 10.8987i 0.783959 + 0.432501i
\(636\) 9.62597 38.6076i 0.381694 1.53089i
\(637\) −8.22819 + 0.575371i −0.326013 + 0.0227970i
\(638\) −8.37653 + 3.72947i −0.331630 + 0.147651i
\(639\) −1.20160 0.534985i −0.0475344 0.0211637i
\(640\) 12.3305 + 40.0437i 0.487406 + 1.58287i
\(641\) −14.1713 + 13.6851i −0.559733 + 0.540528i −0.919794 0.392401i \(-0.871645\pi\)
0.360061 + 0.932929i \(0.382756\pi\)
\(642\) 36.1063 19.1981i 1.42500 0.757687i
\(643\) −8.60491 + 3.13193i −0.339345 + 0.123511i −0.506071 0.862492i \(-0.668903\pi\)
0.166726 + 0.986003i \(0.446680\pi\)
\(644\) 15.4850 38.3267i 0.610195 1.51028i
\(645\) −13.7181 18.1287i −0.540148 0.713816i
\(646\) 7.60407 + 44.5779i 0.299178 + 1.75390i
\(647\) −7.01409 + 21.5871i −0.275752 + 0.848678i 0.713267 + 0.700892i \(0.247215\pi\)
−0.989019 + 0.147786i \(0.952785\pi\)
\(648\) 54.6496 + 3.82147i 2.14684 + 0.150122i
\(649\) −13.5586 + 4.93491i −0.532220 + 0.193712i
\(650\) −18.6147 + 10.8470i −0.730129 + 0.425456i
\(651\) −3.75686 + 21.3062i −0.147243 + 0.835056i
\(652\) 47.3115 13.5664i 1.85286 0.531300i
\(653\) 11.1721 2.37471i 0.437199 0.0929295i 0.0159464 0.999873i \(-0.494924\pi\)
0.421253 + 0.906943i \(0.361591\pi\)
\(654\) −3.32007 3.68731i −0.129825 0.144185i
\(655\) −9.18946 + 3.92247i −0.359062 + 0.153264i
\(656\) −12.2265 7.63997i −0.477365 0.298291i
\(657\) 8.99793 15.5849i 0.351043 0.608024i
\(658\) 5.25432 5.83551i 0.204835 0.227492i
\(659\) 6.43379 + 9.53849i 0.250625 + 0.371567i 0.933265 0.359188i \(-0.116946\pi\)
−0.682640 + 0.730754i \(0.739168\pi\)
\(660\) 20.4015 + 20.3198i 0.794127 + 0.790946i
\(661\) −30.7873 29.7310i −1.19749 1.15640i −0.983757 0.179508i \(-0.942549\pi\)
−0.213731 0.976893i \(-0.568562\pi\)
\(662\) −40.0493 11.4840i −1.55656 0.446336i
\(663\) 4.08499 + 16.3840i 0.158648 + 0.636302i
\(664\) −0.984343 + 0.715167i −0.0381999 + 0.0277539i
\(665\) −5.22079 13.7473i −0.202454 0.533095i
\(666\) −43.4225 31.5483i −1.68259 1.22247i
\(667\) 6.81212 16.8606i 0.263766 0.652844i
\(668\) 15.8751 5.77805i 0.614224 0.223559i
\(669\) 31.1903 16.5842i 1.20589 0.641180i
\(670\) −0.944328 5.88579i −0.0364826 0.227388i
\(671\) 11.2793 14.4368i 0.435432 0.557327i
\(672\) 3.06539 0.651569i 0.118250 0.0251348i
\(673\) −0.795486 7.56855i −0.0306637 0.291746i −0.999098 0.0424751i \(-0.986476\pi\)
0.968434 0.249271i \(-0.0801910\pi\)
\(674\) 63.4190 53.2148i 2.44281 2.04976i
\(675\) 8.10870 0.885173i 0.312104 0.0340703i
\(676\) 20.3473 35.2426i 0.782589 1.35548i
\(677\) −7.00645 3.11947i −0.269280 0.119891i 0.267655 0.963515i \(-0.413751\pi\)
−0.536935 + 0.843624i \(0.680418\pi\)
\(678\) 64.4690 82.5166i 2.47592 3.16903i
\(679\) 21.1004 + 11.2193i 0.809759 + 0.430557i
\(680\) −47.5633 + 9.34445i −1.82397 + 0.358343i
\(681\) 36.6487 + 46.9082i 1.40438 + 1.79752i
\(682\) −16.1334 13.5375i −0.617778 0.518377i
\(683\) 10.1991 + 31.3897i 0.390259 + 1.20110i 0.932592 + 0.360931i \(0.117541\pi\)
−0.542333 + 0.840164i \(0.682459\pi\)
\(684\) −34.7496 + 21.4453i −1.32868 + 0.819981i
\(685\) −2.28003 + 0.790199i −0.0871155 + 0.0301919i
\(686\) 43.5419 + 3.04475i 1.66244 + 0.116249i
\(687\) 37.7794 + 10.8331i 1.44138 + 0.413308i
\(688\) 8.80644 18.0559i 0.335742 0.688374i
\(689\) −3.23787 6.63862i −0.123353 0.252911i
\(690\) −85.0237 1.31345i −3.23680 0.0500020i
\(691\) 2.20030 20.9345i 0.0837034 0.796384i −0.869475 0.493976i \(-0.835543\pi\)
0.953179 0.302408i \(-0.0977904\pi\)
\(692\) 66.1760 + 14.0661i 2.51563 + 0.534714i
\(693\) −3.62441 + 3.04124i −0.137680 + 0.115527i
\(694\) 62.1866 + 38.8585i 2.36057 + 1.47505i
\(695\) 27.9995 + 15.4470i 1.06208 + 0.585938i
\(696\) 31.4878 6.69294i 1.19354 0.253695i
\(697\) −8.21067 + 10.5092i −0.311001 + 0.398064i
\(698\) 7.33028 + 15.0293i 0.277455 + 0.568868i
\(699\) 10.5494 + 59.8286i 0.399015 + 2.26292i
\(700\) 28.5566 11.6711i 1.07934 0.441127i
\(701\) 8.02000 + 6.72958i 0.302911 + 0.254173i 0.781555 0.623837i \(-0.214427\pi\)
−0.478644 + 0.878009i \(0.658871\pi\)
\(702\) 5.68693 4.13179i 0.214639 0.155945i
\(703\) −41.3865 0.230934i −1.56092 0.00870984i
\(704\) 2.90261 8.93332i 0.109396 0.336687i
\(705\) −10.1353 3.86724i −0.381716 0.145649i
\(706\) −48.8314 62.5013i −1.83779 2.35227i
\(707\) −2.44634 13.8739i −0.0920040 0.521780i
\(708\) 98.1779 13.7980i 3.68975 0.518561i
\(709\) −6.00832 8.90770i −0.225647 0.334536i 0.699165 0.714961i \(-0.253555\pi\)
−0.924812 + 0.380425i \(0.875778\pi\)
\(710\) −0.718902 3.08565i −0.0269799 0.115802i
\(711\) 1.45714 + 13.8638i 0.0546472 + 0.519933i
\(712\) −18.0966 + 1.26543i −0.678197 + 0.0474242i
\(713\) 41.6662 2.91359i 1.56041 0.109115i
\(714\) −3.76335 35.8059i −0.140840 1.34000i
\(715\) 5.32568 + 0.455171i 0.199169 + 0.0170224i
\(716\) 16.1281 + 23.9110i 0.602737 + 0.893595i
\(717\) 24.9269 3.50325i 0.930912 0.130831i
\(718\) −1.37597 7.80353i −0.0513509 0.291225i
\(719\) 10.8959 + 13.9461i 0.406348 + 0.520102i 0.947039 0.321120i \(-0.104059\pi\)
−0.540690 + 0.841222i \(0.681837\pi\)
\(720\) −12.7186 19.4991i −0.473993 0.726689i
\(721\) 6.71402 20.6636i 0.250043 0.769554i
\(722\) −18.0479 + 43.2733i −0.671672 + 1.61047i
\(723\) 20.9776 15.2411i 0.780167 0.566824i
\(724\) −13.1859 11.0643i −0.490051 0.411201i
\(725\) 12.5625 5.13433i 0.466560 0.190684i
\(726\) 8.99489 + 51.0126i 0.333832 + 1.89325i
\(727\) 14.7846 + 30.3129i 0.548331 + 1.12424i 0.975485 + 0.220066i \(0.0706272\pi\)
−0.427154 + 0.904179i \(0.640484\pi\)
\(728\) 8.36291 10.7040i 0.309950 0.396718i
\(729\) 12.7955 2.71976i 0.473906 0.100732i
\(730\) 43.0142 5.36911i 1.59203 0.198720i
\(731\) −15.7592 9.84743i −0.582874 0.364220i
\(732\) −96.4332 + 80.9171i −3.56427 + 2.99078i
\(733\) −9.35401 1.98826i −0.345498 0.0734380i 0.0318944 0.999491i \(-0.489846\pi\)
−0.377393 + 0.926053i \(0.623179\pi\)
\(734\) −6.92730 + 65.9089i −0.255691 + 2.43274i
\(735\) −7.15001 23.2199i −0.263732 0.856478i
\(736\) −2.65224 5.43789i −0.0977627 0.200443i
\(737\) −0.648314 + 1.32924i −0.0238809 + 0.0489632i
\(738\) −17.2372 4.94269i −0.634510 0.181943i
\(739\) −49.5191 3.46271i −1.82159 0.127378i −0.882340 0.470612i \(-0.844033\pi\)
−0.939250 + 0.343234i \(0.888478\pi\)
\(740\) −1.68948 86.8080i −0.0621066 3.19112i
\(741\) −5.50278 + 16.6197i −0.202150 + 0.610540i
\(742\) 4.86658 + 14.9778i 0.178658 + 0.549852i
\(743\) −4.65413 3.90528i −0.170744 0.143271i 0.553412 0.832908i \(-0.313326\pi\)
−0.724155 + 0.689637i \(0.757770\pi\)
\(744\) 45.5215 + 58.2649i 1.66890 + 2.13609i
\(745\) −14.3967 6.67815i −0.527454 0.244668i
\(746\) −46.6912 24.8261i −1.70948 0.908949i
\(747\) −0.332798 + 0.425961i −0.0121764 + 0.0155851i
\(748\) 21.5018 + 9.57321i 0.786183 + 0.350031i
\(749\) −5.43474 + 9.41325i −0.198581 + 0.343952i
\(750\) −43.5586 46.1508i −1.59054 1.68519i
\(751\) 11.9836 10.0555i 0.437289 0.366929i −0.397405 0.917643i \(-0.630089\pi\)
0.834694 + 0.550714i \(0.185645\pi\)
\(752\) −1.00200 9.53336i −0.0365391 0.347646i
\(753\) −35.8295 + 7.61580i −1.30570 + 0.277535i
\(754\) 7.20042 9.21611i 0.262224 0.335631i
\(755\) 34.1291 + 33.9924i 1.24209 + 1.23711i
\(756\) −8.88724 + 4.72543i −0.323226 + 0.171862i
\(757\) 41.2154 15.0012i 1.49800 0.545227i 0.542456 0.840084i \(-0.317494\pi\)
0.955541 + 0.294857i \(0.0952721\pi\)
\(758\) 8.07148 19.9776i 0.293169 0.725619i
\(759\) 17.0674 + 12.4002i 0.619509 + 0.450099i
\(760\) −46.8538 18.1778i −1.69956 0.659379i
\(761\) −31.7014 + 23.0324i −1.14918 + 0.834925i −0.988371 0.152062i \(-0.951409\pi\)
−0.160804 + 0.986986i \(0.551409\pi\)
\(762\) 13.8554 + 55.5709i 0.501927 + 2.01312i
\(763\) 1.26776 + 0.363526i 0.0458962 + 0.0131605i
\(764\) −33.4427 32.2953i −1.20992 1.16840i
\(765\) −19.1682 + 9.81518i −0.693027 + 0.354868i
\(766\) −35.2708 52.2911i −1.27439 1.88935i
\(767\) 12.3146 13.6767i 0.444654 0.493839i
\(768\) −37.3966 + 64.7728i −1.34943 + 2.33729i
\(769\) −14.1299 8.82934i −0.509537 0.318394i 0.250673 0.968072i \(-0.419348\pi\)
−0.760210 + 0.649678i \(0.774904\pi\)
\(770\) −11.1097 2.54141i −0.400367 0.0915862i
\(771\) 40.8844 + 45.4067i 1.47242 + 1.63528i
\(772\) 71.9153 15.2861i 2.58829 0.550158i