Properties

Label 588.2.x.b.559.1
Level $588$
Weight $2$
Character 588.559
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 588.x (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.69520363885\)
Analytic rank: \(0\)
Dimension: \(168\)
Relative dimension: \(28\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 559.1
Character \(\chi\) \(=\) 588.559
Dual form 588.2.x.b.223.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.40416 + 0.168299i) q^{2} +(0.222521 + 0.974928i) q^{3} +(1.94335 - 0.472640i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-0.476536 - 1.33151i) q^{6} +(0.327037 - 2.62546i) q^{7} +(-2.64924 + 0.990728i) q^{8} +(-0.900969 + 0.433884i) q^{9} +O(q^{10})\) \(q+(-1.40416 + 0.168299i) q^{2} +(0.222521 + 0.974928i) q^{3} +(1.94335 - 0.472640i) q^{4} +(-1.38638 + 0.316432i) q^{5} +(-0.476536 - 1.33151i) q^{6} +(0.327037 - 2.62546i) q^{7} +(-2.64924 + 0.990728i) q^{8} +(-0.900969 + 0.433884i) q^{9} +(1.89345 - 0.677649i) q^{10} +(-0.736155 + 1.52864i) q^{11} +(0.893226 + 1.78945i) q^{12} +(0.572318 - 1.18843i) q^{13} +(-0.0173494 + 3.74162i) q^{14} +(-0.616996 - 1.28121i) q^{15} +(3.55322 - 1.83701i) q^{16} +(-1.94350 - 1.54989i) q^{17} +(1.19209 - 0.760876i) q^{18} -7.65788 q^{19} +(-2.54466 + 1.27020i) q^{20} +(2.63241 - 0.265383i) q^{21} +(0.776412 - 2.27036i) q^{22} +(-6.25283 + 4.98647i) q^{23} +(-1.55540 - 2.36236i) q^{24} +(-2.68293 + 1.29203i) q^{25} +(-0.603616 + 1.76507i) q^{26} +(-0.623490 - 0.781831i) q^{27} +(-0.605351 - 5.25676i) q^{28} +(5.04628 - 6.32784i) q^{29} +(1.08199 + 1.69518i) q^{30} +0.568290 q^{31} +(-4.68014 + 3.17747i) q^{32} +(-1.65412 - 0.377543i) q^{33} +(2.98984 + 1.84921i) q^{34} +(0.377383 + 3.74337i) q^{35} +(-1.54583 + 1.26902i) q^{36} +(2.14273 - 2.68690i) q^{37} +(10.7529 - 1.28882i) q^{38} +(1.28599 + 0.293518i) q^{39} +(3.35935 - 2.21183i) q^{40} +(0.860244 - 0.196345i) q^{41} +(-3.65167 + 0.815674i) q^{42} +(-3.14099 - 0.716910i) q^{43} +(-0.708110 + 3.31862i) q^{44} +(1.11179 - 0.886622i) q^{45} +(7.94078 - 8.05417i) q^{46} +(-5.38800 - 2.59473i) q^{47} +(2.58162 + 3.05536i) q^{48} +(-6.78609 - 1.71724i) q^{49} +(3.54982 - 2.26576i) q^{50} +(1.07856 - 2.23965i) q^{51} +(0.550515 - 2.58004i) q^{52} +(-3.41255 - 4.27920i) q^{53} +(1.00706 + 0.992886i) q^{54} +(0.536878 - 2.35222i) q^{55} +(1.73472 + 7.27947i) q^{56} +(-1.70404 - 7.46588i) q^{57} +(-6.02084 + 9.73461i) q^{58} +(2.27091 - 9.94952i) q^{59} +(-1.80459 - 2.19822i) q^{60} +(-0.303170 - 0.241770i) q^{61} +(-0.797973 + 0.0956430i) q^{62} +(0.844495 + 2.50735i) q^{63} +(6.03691 - 5.24935i) q^{64} +(-0.417392 + 1.82871i) q^{65} +(2.38620 + 0.251744i) q^{66} -9.48014i q^{67} +(-4.50944 - 2.09340i) q^{68} +(-6.25283 - 4.98647i) q^{69} +(-1.15991 - 5.19279i) q^{70} +(-11.7253 + 9.35058i) q^{71} +(1.95702 - 2.04208i) q^{72} +(1.03475 + 2.14868i) q^{73} +(-2.55654 + 4.13347i) q^{74} +(-1.85664 - 2.32816i) q^{75} +(-14.8819 + 3.61942i) q^{76} +(3.77264 + 2.43267i) q^{77} +(-1.85513 - 0.195717i) q^{78} +17.1021i q^{79} +(-4.34482 + 3.67114i) q^{80} +(0.623490 - 0.781831i) q^{81} +(-1.17488 + 0.420479i) q^{82} +(-2.34188 + 1.12779i) q^{83} +(4.99026 - 1.75991i) q^{84} +(3.18486 + 1.53375i) q^{85} +(4.53112 + 0.478032i) q^{86} +(7.29209 + 3.51169i) q^{87} +(0.435780 - 4.77906i) q^{88} +(-5.14003 - 10.6734i) q^{89} +(-1.41192 + 1.43208i) q^{90} +(-2.93301 - 1.89126i) q^{91} +(-9.79465 + 12.6458i) q^{92} +(0.126457 + 0.554042i) q^{93} +(8.00233 + 2.73662i) q^{94} +(10.6167 - 2.42320i) q^{95} +(-4.13923 - 3.85574i) q^{96} -1.85665i q^{97} +(9.81780 + 1.26920i) q^{98} -1.69666i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} + O(q^{10}) \) \( 168 q + 28 q^{3} - 2 q^{7} + 6 q^{8} - 28 q^{9} - 20 q^{10} + 14 q^{14} - 20 q^{16} - 12 q^{19} + 25 q^{20} + 2 q^{21} - 6 q^{22} - 27 q^{24} + 32 q^{25} - 6 q^{26} + 28 q^{27} + 6 q^{28} - 8 q^{30} + 4 q^{31} - 45 q^{32} - 44 q^{34} + 12 q^{35} - 10 q^{37} - 35 q^{38} - 14 q^{39} + 40 q^{40} + 7 q^{42} + 20 q^{44} + 28 q^{46} + 8 q^{47} - 8 q^{48} - 8 q^{49} + 114 q^{50} - 20 q^{52} - 8 q^{53} + 23 q^{56} + 12 q^{57} - 6 q^{58} - 20 q^{59} + 10 q^{60} - 14 q^{61} + 16 q^{62} + 12 q^{63} - 42 q^{64} - 8 q^{65} + 6 q^{66} + 16 q^{68} + 19 q^{70} - 28 q^{71} - 15 q^{72} + 22 q^{74} - 18 q^{75} - 49 q^{76} + 8 q^{77} + 6 q^{78} - 26 q^{80} - 28 q^{81} - 12 q^{82} - 10 q^{83} - 27 q^{84} - 24 q^{85} - 34 q^{86} + 94 q^{88} - 20 q^{90} + 16 q^{91} + 7 q^{92} - 4 q^{93} + 11 q^{94} + 10 q^{96} - 150 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(295\) \(493\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.40416 + 0.168299i −0.992894 + 0.119006i
\(3\) 0.222521 + 0.974928i 0.128473 + 0.562875i
\(4\) 1.94335 0.472640i 0.971675 0.236320i
\(5\) −1.38638 + 0.316432i −0.620007 + 0.141513i −0.520975 0.853572i \(-0.674432\pi\)
−0.0990318 + 0.995084i \(0.531575\pi\)
\(6\) −0.476536 1.33151i −0.194545 0.543586i
\(7\) 0.327037 2.62546i 0.123608 0.992331i
\(8\) −2.64924 + 0.990728i −0.936647 + 0.350275i
\(9\) −0.900969 + 0.433884i −0.300323 + 0.144628i
\(10\) 1.89345 0.677649i 0.598760 0.214291i
\(11\) −0.736155 + 1.52864i −0.221959 + 0.460903i −0.981977 0.188999i \(-0.939476\pi\)
0.760018 + 0.649902i \(0.225190\pi\)
\(12\) 0.893226 + 1.78945i 0.257852 + 0.516571i
\(13\) 0.572318 1.18843i 0.158732 0.329611i −0.806401 0.591369i \(-0.798588\pi\)
0.965134 + 0.261757i \(0.0843021\pi\)
\(14\) −0.0173494 + 3.74162i −0.00463684 + 0.999989i
\(15\) −0.616996 1.28121i −0.159308 0.330806i
\(16\) 3.55322 1.83701i 0.888306 0.459252i
\(17\) −1.94350 1.54989i −0.471368 0.375903i 0.358802 0.933414i \(-0.383185\pi\)
−0.830170 + 0.557510i \(0.811757\pi\)
\(18\) 1.19209 0.760876i 0.280977 0.179340i
\(19\) −7.65788 −1.75684 −0.878419 0.477891i \(-0.841401\pi\)
−0.878419 + 0.477891i \(0.841401\pi\)
\(20\) −2.54466 + 1.27020i −0.569004 + 0.284024i
\(21\) 2.63241 0.265383i 0.574439 0.0579113i
\(22\) 0.776412 2.27036i 0.165532 0.484042i
\(23\) −6.25283 + 4.98647i −1.30381 + 1.03975i −0.307709 + 0.951480i \(0.599562\pi\)
−0.996097 + 0.0882702i \(0.971866\pi\)
\(24\) −1.55540 2.36236i −0.317495 0.482214i
\(25\) −2.68293 + 1.29203i −0.536586 + 0.258406i
\(26\) −0.603616 + 1.76507i −0.118379 + 0.346159i
\(27\) −0.623490 0.781831i −0.119991 0.150464i
\(28\) −0.605351 5.25676i −0.114401 0.993435i
\(29\) 5.04628 6.32784i 0.937071 1.17505i −0.0472885 0.998881i \(-0.515058\pi\)
0.984360 0.176169i \(-0.0563706\pi\)
\(30\) 1.08199 + 1.69518i 0.197543 + 0.309497i
\(31\) 0.568290 0.102068 0.0510340 0.998697i \(-0.483748\pi\)
0.0510340 + 0.998697i \(0.483748\pi\)
\(32\) −4.68014 + 3.17747i −0.827339 + 0.561702i
\(33\) −1.65412 0.377543i −0.287946 0.0657218i
\(34\) 2.98984 + 1.84921i 0.512753 + 0.317137i
\(35\) 0.377383 + 3.74337i 0.0637893 + 0.632745i
\(36\) −1.54583 + 1.26902i −0.257638 + 0.211504i
\(37\) 2.14273 2.68690i 0.352263 0.441723i −0.573856 0.818956i \(-0.694553\pi\)
0.926118 + 0.377233i \(0.123124\pi\)
\(38\) 10.7529 1.28882i 1.74435 0.209074i
\(39\) 1.28599 + 0.293518i 0.205923 + 0.0470005i
\(40\) 3.35935 2.21183i 0.531159 0.349721i
\(41\) 0.860244 0.196345i 0.134348 0.0306640i −0.154818 0.987943i \(-0.549479\pi\)
0.289166 + 0.957279i \(0.406622\pi\)
\(42\) −3.65167 + 0.815674i −0.563465 + 0.125861i
\(43\) −3.14099 0.716910i −0.478996 0.109328i −0.0237959 0.999717i \(-0.507575\pi\)
−0.455200 + 0.890389i \(0.650432\pi\)
\(44\) −0.708110 + 3.31862i −0.106752 + 0.500301i
\(45\) 1.11179 0.886622i 0.165736 0.132170i
\(46\) 7.94078 8.05417i 1.17080 1.18752i
\(47\) −5.38800 2.59473i −0.785921 0.378480i −0.00252046 0.999997i \(-0.500802\pi\)
−0.783400 + 0.621517i \(0.786517\pi\)
\(48\) 2.58162 + 3.05536i 0.372625 + 0.441004i
\(49\) −6.78609 1.71724i −0.969442 0.245321i
\(50\) 3.54982 2.26576i 0.502021 0.320426i
\(51\) 1.07856 2.23965i 0.151029 0.313614i
\(52\) 0.550515 2.58004i 0.0763427 0.357787i
\(53\) −3.41255 4.27920i −0.468749 0.587793i 0.490115 0.871658i \(-0.336955\pi\)
−0.958864 + 0.283865i \(0.908383\pi\)
\(54\) 1.00706 + 0.992886i 0.137044 + 0.135115i
\(55\) 0.536878 2.35222i 0.0723927 0.317173i
\(56\) 1.73472 + 7.27947i 0.231812 + 0.972761i
\(57\) −1.70404 7.46588i −0.225705 0.988880i
\(58\) −6.02084 + 9.73461i −0.790575 + 1.27822i
\(59\) 2.27091 9.94952i 0.295648 1.29532i −0.580889 0.813983i \(-0.697295\pi\)
0.876537 0.481335i \(-0.159848\pi\)
\(60\) −1.80459 2.19822i −0.232972 0.283788i
\(61\) −0.303170 0.241770i −0.0388169 0.0309555i 0.603889 0.797068i \(-0.293617\pi\)
−0.642706 + 0.766113i \(0.722188\pi\)
\(62\) −0.797973 + 0.0956430i −0.101343 + 0.0121467i
\(63\) 0.844495 + 2.50735i 0.106396 + 0.315897i
\(64\) 6.03691 5.24935i 0.754614 0.656169i
\(65\) −0.417392 + 1.82871i −0.0517711 + 0.226824i
\(66\) 2.38620 + 0.251744i 0.293721 + 0.0309876i
\(67\) 9.48014i 1.15818i −0.815263 0.579092i \(-0.803407\pi\)
0.815263 0.579092i \(-0.196593\pi\)
\(68\) −4.50944 2.09340i −0.546850 0.253862i
\(69\) −6.25283 4.98647i −0.752753 0.600300i
\(70\) −1.15991 5.19279i −0.138636 0.620657i
\(71\) −11.7253 + 9.35058i −1.39153 + 1.10971i −0.411380 + 0.911464i \(0.634953\pi\)
−0.980152 + 0.198246i \(0.936476\pi\)
\(72\) 1.95702 2.04208i 0.230637 0.240661i
\(73\) 1.03475 + 2.14868i 0.121108 + 0.251484i 0.952705 0.303895i \(-0.0982873\pi\)
−0.831597 + 0.555380i \(0.812573\pi\)
\(74\) −2.55654 + 4.13347i −0.297192 + 0.480506i
\(75\) −1.85664 2.32816i −0.214387 0.268833i
\(76\) −14.8819 + 3.61942i −1.70708 + 0.415176i
\(77\) 3.77264 + 2.43267i 0.429932 + 0.277228i
\(78\) −1.85513 0.195717i −0.210053 0.0221605i
\(79\) 17.1021i 1.92413i 0.272817 + 0.962066i \(0.412045\pi\)
−0.272817 + 0.962066i \(0.587955\pi\)
\(80\) −4.34482 + 3.67114i −0.485766 + 0.410446i
\(81\) 0.623490 0.781831i 0.0692766 0.0868702i
\(82\) −1.17488 + 0.420479i −0.129744 + 0.0464342i
\(83\) −2.34188 + 1.12779i −0.257055 + 0.123791i −0.557974 0.829859i \(-0.688421\pi\)
0.300919 + 0.953650i \(0.402707\pi\)
\(84\) 4.99026 1.75991i 0.544482 0.192022i
\(85\) 3.18486 + 1.53375i 0.345447 + 0.166358i
\(86\) 4.53112 + 0.478032i 0.488603 + 0.0515476i
\(87\) 7.29209 + 3.51169i 0.781794 + 0.376492i
\(88\) 0.435780 4.77906i 0.0464543 0.509450i
\(89\) −5.14003 10.6734i −0.544842 1.13138i −0.973664 0.227987i \(-0.926786\pi\)
0.428823 0.903389i \(-0.358929\pi\)
\(90\) −1.41192 + 1.43208i −0.148829 + 0.150954i
\(91\) −2.93301 1.89126i −0.307463 0.198258i
\(92\) −9.79465 + 12.6458i −1.02116 + 1.31842i
\(93\) 0.126457 + 0.554042i 0.0131129 + 0.0574515i
\(94\) 8.00233 + 2.73662i 0.825377 + 0.282261i
\(95\) 10.6167 2.42320i 1.08925 0.248615i
\(96\) −4.13923 3.85574i −0.422458 0.393525i
\(97\) 1.85665i 0.188514i −0.995548 0.0942571i \(-0.969952\pi\)
0.995548 0.0942571i \(-0.0300476\pi\)
\(98\) 9.81780 + 1.26920i 0.991747 + 0.128208i
\(99\) 1.69666i 0.170521i
\(100\) −4.60321 + 3.77893i −0.460321 + 0.377893i
\(101\) 5.36275 1.22401i 0.533614 0.121794i 0.0527808 0.998606i \(-0.483192\pi\)
0.480833 + 0.876812i \(0.340334\pi\)
\(102\) −1.13754 + 3.32636i −0.112634 + 0.329359i
\(103\) −2.64732 11.5987i −0.260848 1.14285i −0.920334 0.391133i \(-0.872083\pi\)
0.659486 0.751717i \(-0.270774\pi\)
\(104\) −0.338794 + 3.71545i −0.0332215 + 0.364329i
\(105\) −3.56554 + 1.20090i −0.347961 + 0.117196i
\(106\) 5.51196 + 5.43436i 0.535369 + 0.527832i
\(107\) 0.867216 + 1.80079i 0.0838369 + 0.174089i 0.938673 0.344810i \(-0.112056\pi\)
−0.854836 + 0.518899i \(0.826342\pi\)
\(108\) −1.58118 1.22469i −0.152150 0.117846i
\(109\) 13.2211 + 6.36695i 1.26635 + 0.609844i 0.941848 0.336040i \(-0.109088\pi\)
0.324506 + 0.945884i \(0.394802\pi\)
\(110\) −0.357988 + 3.39325i −0.0341328 + 0.323534i
\(111\) 3.09633 + 1.49112i 0.293891 + 0.141530i
\(112\) −3.66096 9.92962i −0.345929 0.938261i
\(113\) −6.52739 + 3.14343i −0.614046 + 0.295709i −0.714937 0.699189i \(-0.753545\pi\)
0.100892 + 0.994897i \(0.467830\pi\)
\(114\) 3.64925 + 10.1965i 0.341784 + 0.954992i
\(115\) 7.09092 8.89173i 0.661231 0.829158i
\(116\) 6.81591 14.6823i 0.632841 1.36322i
\(117\) 1.31906i 0.121947i
\(118\) −1.51424 + 14.3529i −0.139397 + 1.32130i
\(119\) −4.70477 + 4.59571i −0.431286 + 0.421288i
\(120\) 2.90390 + 2.78294i 0.265088 + 0.254047i
\(121\) 5.06357 + 6.34951i 0.460324 + 0.577229i
\(122\) 0.466390 + 0.288461i 0.0422250 + 0.0261161i
\(123\) 0.382845 + 0.794985i 0.0345200 + 0.0716814i
\(124\) 1.10439 0.268597i 0.0991769 0.0241207i
\(125\) 8.86966 7.07332i 0.793327 0.632657i
\(126\) −1.60780 3.37861i −0.143234 0.300990i
\(127\) 6.95401 + 5.54563i 0.617068 + 0.492095i 0.881422 0.472330i \(-0.156587\pi\)
−0.264353 + 0.964426i \(0.585159\pi\)
\(128\) −7.59335 + 8.38695i −0.671164 + 0.741309i
\(129\) 3.22176i 0.283661i
\(130\) 0.278315 2.63806i 0.0244099 0.231373i
\(131\) 0.382231 1.67466i 0.0333956 0.146316i −0.955481 0.295051i \(-0.904663\pi\)
0.988877 + 0.148736i \(0.0475203\pi\)
\(132\) −3.39299 + 0.0481065i −0.295321 + 0.00418713i
\(133\) −2.50441 + 20.1055i −0.217160 + 1.74337i
\(134\) 1.59550 + 13.3117i 0.137830 + 1.14995i
\(135\) 1.11179 + 0.886622i 0.0956876 + 0.0763083i
\(136\) 6.68431 + 2.18054i 0.573175 + 0.186980i
\(137\) −1.63330 + 7.15595i −0.139542 + 0.611374i 0.855993 + 0.516987i \(0.172946\pi\)
−0.995536 + 0.0943873i \(0.969911\pi\)
\(138\) 9.61922 + 5.94947i 0.818843 + 0.506452i
\(139\) 1.58739 + 6.95481i 0.134641 + 0.589899i 0.996561 + 0.0828565i \(0.0264043\pi\)
−0.861921 + 0.507043i \(0.830739\pi\)
\(140\) 2.50265 + 7.09631i 0.211513 + 0.599748i
\(141\) 1.33073 5.83029i 0.112067 0.490999i
\(142\) 14.8905 15.1031i 1.24958 1.26742i
\(143\) 1.39537 + 1.74974i 0.116687 + 0.146320i
\(144\) −2.40429 + 3.19677i −0.200358 + 0.266398i
\(145\) −4.99373 + 10.3696i −0.414707 + 0.861147i
\(146\) −1.81458 2.84295i −0.150176 0.235285i
\(147\) 0.164142 6.99808i 0.0135382 0.577192i
\(148\) 2.89414 6.23433i 0.237897 0.512458i
\(149\) 15.9373 + 7.67499i 1.30563 + 0.628759i 0.951849 0.306568i \(-0.0991806\pi\)
0.353784 + 0.935327i \(0.384895\pi\)
\(150\) 2.99886 + 2.95664i 0.244856 + 0.241409i
\(151\) −9.57613 + 7.63671i −0.779294 + 0.621466i −0.930188 0.367084i \(-0.880356\pi\)
0.150894 + 0.988550i \(0.451785\pi\)
\(152\) 20.2875 7.58688i 1.64554 0.615377i
\(153\) 2.42350 + 0.553149i 0.195929 + 0.0447195i
\(154\) −5.70682 2.78093i −0.459868 0.224094i
\(155\) −0.787866 + 0.179825i −0.0632829 + 0.0144439i
\(156\) 2.63785 0.0374000i 0.211197 0.00299440i
\(157\) −8.41676 1.92107i −0.671731 0.153318i −0.126966 0.991907i \(-0.540524\pi\)
−0.544765 + 0.838589i \(0.683381\pi\)
\(158\) −2.87827 24.0141i −0.228983 1.91046i
\(159\) 3.41255 4.27920i 0.270633 0.339363i
\(160\) 5.48299 5.88612i 0.433469 0.465338i
\(161\) 11.0469 + 18.0473i 0.870616 + 1.42233i
\(162\) −0.743900 + 1.20275i −0.0584463 + 0.0944971i
\(163\) −9.11997 2.08157i −0.714331 0.163041i −0.150115 0.988669i \(-0.547964\pi\)
−0.564216 + 0.825627i \(0.690821\pi\)
\(164\) 1.57896 0.788153i 0.123296 0.0615444i
\(165\) 2.41271 0.187829
\(166\) 3.09858 1.97774i 0.240496 0.153502i
\(167\) 5.37750 6.74317i 0.416123 0.521802i −0.528954 0.848651i \(-0.677415\pi\)
0.945077 + 0.326849i \(0.105987\pi\)
\(168\) −6.71095 + 3.31106i −0.517761 + 0.255454i
\(169\) 7.02055 + 8.80349i 0.540042 + 0.677191i
\(170\) −4.73019 1.61762i −0.362789 0.124066i
\(171\) 6.89951 3.32263i 0.527619 0.254088i
\(172\) −6.44288 + 0.0913486i −0.491265 + 0.00696526i
\(173\) −15.7125 + 12.5303i −1.19460 + 0.952659i −0.999604 0.0281460i \(-0.991040\pi\)
−0.194992 + 0.980805i \(0.562468\pi\)
\(174\) −10.8303 3.70373i −0.821043 0.280779i
\(175\) 2.51476 + 7.46647i 0.190098 + 0.564412i
\(176\) 0.192407 + 6.78393i 0.0145032 + 0.511358i
\(177\) 10.2054 0.767084
\(178\) 9.01376 + 14.1221i 0.675610 + 1.05850i
\(179\) 1.46121 + 1.16527i 0.109216 + 0.0870966i 0.676575 0.736374i \(-0.263463\pi\)
−0.567359 + 0.823470i \(0.692035\pi\)
\(180\) 1.74154 2.24849i 0.129807 0.167593i
\(181\) 9.98002 + 20.7237i 0.741809 + 1.54038i 0.838398 + 0.545058i \(0.183492\pi\)
−0.0965889 + 0.995324i \(0.530793\pi\)
\(182\) 4.43672 + 2.16201i 0.328872 + 0.160259i
\(183\) 0.168247 0.349368i 0.0124372 0.0258260i
\(184\) 11.6250 19.4052i 0.857007 1.43057i
\(185\) −2.12041 + 4.40309i −0.155896 + 0.323721i
\(186\) −0.270811 0.756683i −0.0198568 0.0554827i
\(187\) 3.79994 1.82995i 0.277879 0.133820i
\(188\) −11.6971 2.49588i −0.853102 0.182030i
\(189\) −2.25657 + 1.38126i −0.164141 + 0.100472i
\(190\) −14.4998 + 5.18935i −1.05193 + 0.376475i
\(191\) 10.1773 2.32290i 0.736403 0.168079i 0.162160 0.986764i \(-0.448154\pi\)
0.574243 + 0.818685i \(0.305297\pi\)
\(192\) 6.46108 + 4.71747i 0.466288 + 0.340454i
\(193\) −4.83158 21.1685i −0.347785 1.52375i −0.782197 0.623031i \(-0.785901\pi\)
0.434412 0.900714i \(-0.356956\pi\)
\(194\) 0.312473 + 2.60704i 0.0224342 + 0.187174i
\(195\) −1.87574 −0.134325
\(196\) −13.9994 0.129830i −0.999957 0.00927357i
\(197\) −16.7464 −1.19313 −0.596567 0.802563i \(-0.703469\pi\)
−0.596567 + 0.802563i \(0.703469\pi\)
\(198\) 0.285547 + 2.38239i 0.0202930 + 0.169309i
\(199\) 4.96566 + 21.7560i 0.352007 + 1.54224i 0.772541 + 0.634965i \(0.218985\pi\)
−0.420534 + 0.907277i \(0.638157\pi\)
\(200\) 5.82766 6.08095i 0.412078 0.429988i
\(201\) 9.24245 2.10953i 0.651912 0.148795i
\(202\) −7.32418 + 2.62126i −0.515327 + 0.184431i
\(203\) −14.9632 15.3183i −1.05021 1.07513i
\(204\) 1.03747 4.86221i 0.0726376 0.340422i
\(205\) −1.13049 + 0.544417i −0.0789572 + 0.0380238i
\(206\) 5.66931 + 15.8409i 0.395000 + 1.10369i
\(207\) 3.47006 7.20566i 0.241186 0.500828i
\(208\) −0.149585 5.27411i −0.0103719 0.365694i
\(209\) 5.63738 11.7061i 0.389946 0.809731i
\(210\) 4.80449 2.28634i 0.331541 0.157772i
\(211\) 0.129921 + 0.269783i 0.00894411 + 0.0185726i 0.905393 0.424574i \(-0.139576\pi\)
−0.896449 + 0.443147i \(0.853862\pi\)
\(212\) −8.65429 6.70308i −0.594379 0.460369i
\(213\) −11.7253 9.35058i −0.803401 0.640691i
\(214\) −1.52078 2.38265i −0.103959 0.162875i
\(215\) 4.58145 0.312452
\(216\) 2.42635 + 1.45355i 0.165093 + 0.0989014i
\(217\) 0.185852 1.49202i 0.0126164 0.101285i
\(218\) −19.6362 6.71514i −1.32993 0.454807i
\(219\) −1.86456 + 1.48693i −0.125995 + 0.100478i
\(220\) −0.0684089 4.82493i −0.00461213 0.325297i
\(221\) −2.95424 + 1.42268i −0.198723 + 0.0957001i
\(222\) −4.59871 1.57266i −0.308646 0.105550i
\(223\) −6.03154 7.56332i −0.403902 0.506477i 0.537732 0.843116i \(-0.319281\pi\)
−0.941634 + 0.336639i \(0.890710\pi\)
\(224\) 6.81174 + 13.3267i 0.455129 + 0.890426i
\(225\) 1.85664 2.32816i 0.123776 0.155211i
\(226\) 8.63649 5.51244i 0.574491 0.366682i
\(227\) 27.4958 1.82496 0.912480 0.409121i \(-0.134165\pi\)
0.912480 + 0.409121i \(0.134165\pi\)
\(228\) −6.84022 13.7034i −0.453004 0.907532i
\(229\) −11.0203 2.51531i −0.728242 0.166217i −0.157703 0.987487i \(-0.550409\pi\)
−0.570540 + 0.821270i \(0.693266\pi\)
\(230\) −8.46033 + 13.6788i −0.557858 + 0.901956i
\(231\) −1.53218 + 4.21937i −0.100810 + 0.277614i
\(232\) −7.09963 + 21.7634i −0.466114 + 1.42884i
\(233\) 4.73593 5.93866i 0.310261 0.389055i −0.602114 0.798410i \(-0.705675\pi\)
0.912375 + 0.409355i \(0.134246\pi\)
\(234\) −0.221997 1.85217i −0.0145124 0.121080i
\(235\) 8.29086 + 1.89234i 0.540836 + 0.123442i
\(236\) −0.289359 20.4087i −0.0188357 1.32850i
\(237\) −16.6733 + 3.80557i −1.08305 + 0.247198i
\(238\) 5.83281 7.24494i 0.378085 0.469620i
\(239\) 13.2894 + 3.03321i 0.859617 + 0.196202i 0.629538 0.776970i \(-0.283244\pi\)
0.230079 + 0.973172i \(0.426101\pi\)
\(240\) −4.54591 3.41898i −0.293438 0.220694i
\(241\) −13.4427 + 10.7202i −0.865921 + 0.690549i −0.952119 0.305729i \(-0.901100\pi\)
0.0861975 + 0.996278i \(0.472528\pi\)
\(242\) −8.17870 8.06356i −0.525747 0.518345i
\(243\) 0.900969 + 0.433884i 0.0577972 + 0.0278337i
\(244\) −0.703436 0.326554i −0.0450329 0.0209055i
\(245\) 9.95148 + 0.233415i 0.635777 + 0.0149123i
\(246\) −0.671372 1.05186i −0.0428051 0.0670639i
\(247\) −4.38274 + 9.10086i −0.278867 + 0.579074i
\(248\) −1.50554 + 0.563022i −0.0956016 + 0.0357519i
\(249\) −1.62063 2.03221i −0.102703 0.128786i
\(250\) −11.2640 + 11.4249i −0.712399 + 0.722571i
\(251\) 0.598821 2.62360i 0.0377972 0.165600i −0.952507 0.304517i \(-0.901505\pi\)
0.990304 + 0.138917i \(0.0443620\pi\)
\(252\) 2.82623 + 4.47353i 0.178035 + 0.281806i
\(253\) −3.01947 13.2291i −0.189832 0.831710i
\(254\) −10.6979 6.61662i −0.671245 0.415164i
\(255\) −0.786596 + 3.44630i −0.0492585 + 0.215816i
\(256\) 9.25079 13.0546i 0.578174 0.815913i
\(257\) −14.7566 11.7680i −0.920493 0.734069i 0.0437629 0.999042i \(-0.486065\pi\)
−0.964256 + 0.264973i \(0.914637\pi\)
\(258\) 0.542221 + 4.52388i 0.0337572 + 0.281645i
\(259\) −6.35360 6.50437i −0.394793 0.404162i
\(260\) 0.0531840 + 3.75111i 0.00329833 + 0.232634i
\(261\) −1.80100 + 7.89069i −0.111479 + 0.488421i
\(262\) −0.254870 + 2.41583i −0.0157459 + 0.149250i
\(263\) 10.5675i 0.651622i 0.945435 + 0.325811i \(0.105637\pi\)
−0.945435 + 0.325811i \(0.894363\pi\)
\(264\) 4.75621 0.638587i 0.292725 0.0393023i
\(265\) 6.08516 + 4.85275i 0.373808 + 0.298102i
\(266\) 0.132860 28.6529i 0.00814617 1.75682i
\(267\) 9.26201 7.38620i 0.566826 0.452028i
\(268\) −4.48069 18.4232i −0.273702 1.12538i
\(269\) −6.04268 12.5478i −0.368429 0.765051i 0.631518 0.775361i \(-0.282432\pi\)
−0.999947 + 0.0103107i \(0.996718\pi\)
\(270\) −1.71035 1.05785i −0.104089 0.0643787i
\(271\) −20.2776 25.4273i −1.23177 1.54460i −0.737607 0.675230i \(-0.764044\pi\)
−0.494167 0.869367i \(-0.664527\pi\)
\(272\) −9.75285 1.93687i −0.591353 0.117440i
\(273\) 1.19119 3.28032i 0.0720938 0.198534i
\(274\) 1.08908 10.3230i 0.0657935 0.623636i
\(275\) 5.05237i 0.304669i
\(276\) −14.5083 6.73512i −0.873294 0.405406i
\(277\) 13.9750 17.5241i 0.839677 1.05292i −0.158175 0.987411i \(-0.550561\pi\)
0.997852 0.0655109i \(-0.0208677\pi\)
\(278\) −3.39945 9.49854i −0.203885 0.569684i
\(279\) −0.512012 + 0.246572i −0.0306534 + 0.0147619i
\(280\) −4.70844 9.54318i −0.281383 0.570314i
\(281\) −7.95677 3.83178i −0.474661 0.228585i 0.181229 0.983441i \(-0.441992\pi\)
−0.655890 + 0.754856i \(0.727707\pi\)
\(282\) −0.887323 + 8.41065i −0.0528393 + 0.500847i
\(283\) −11.6399 5.60548i −0.691921 0.333211i 0.0546612 0.998505i \(-0.482592\pi\)
−0.746582 + 0.665294i \(0.768306\pi\)
\(284\) −18.3668 + 23.7133i −1.08987 + 1.40712i
\(285\) 4.72488 + 9.81132i 0.279878 + 0.581173i
\(286\) −2.25381 2.22208i −0.133270 0.131394i
\(287\) −0.234165 2.32275i −0.0138223 0.137108i
\(288\) 2.83801 4.89344i 0.167231 0.288348i
\(289\) −2.40782 10.5494i −0.141637 0.620550i
\(290\) 5.26682 15.4010i 0.309278 0.904380i
\(291\) 1.81010 0.413143i 0.106110 0.0242189i
\(292\) 3.02644 + 3.68658i 0.177109 + 0.215741i
\(293\) 20.3547i 1.18913i −0.804047 0.594566i \(-0.797324\pi\)
0.804047 0.594566i \(-0.202676\pi\)
\(294\) 0.947290 + 9.85407i 0.0552471 + 0.574701i
\(295\) 14.5124i 0.844944i
\(296\) −3.01461 + 9.24110i −0.175221 + 0.537128i
\(297\) 1.65412 0.377543i 0.0959820 0.0219073i
\(298\) −23.6702 8.09470i −1.37118 0.468914i
\(299\) 2.34746 + 10.2849i 0.135757 + 0.594791i
\(300\) −4.70849 3.64690i −0.271845 0.210554i
\(301\) −2.90944 + 8.01209i −0.167697 + 0.461809i
\(302\) 12.1612 12.3348i 0.699798 0.709790i
\(303\) 2.38665 + 4.95593i 0.137109 + 0.284711i
\(304\) −27.2102 + 14.0676i −1.56061 + 0.806832i
\(305\) 0.496812 + 0.239252i 0.0284474 + 0.0136995i
\(306\) −3.49609 0.368837i −0.199858 0.0210850i
\(307\) −5.64999 2.72089i −0.322462 0.155290i 0.265649 0.964070i \(-0.414414\pi\)
−0.588111 + 0.808780i \(0.700128\pi\)
\(308\) 8.48133 + 2.94443i 0.483269 + 0.167774i
\(309\) 10.7188 5.16189i 0.609770 0.293650i
\(310\) 1.07603 0.385101i 0.0611143 0.0218723i
\(311\) 11.9476 14.9819i 0.677489 0.849544i −0.317631 0.948214i \(-0.602887\pi\)
0.995120 + 0.0986701i \(0.0314588\pi\)
\(312\) −3.69768 + 0.496465i −0.209340 + 0.0281068i
\(313\) 21.0129i 1.18772i 0.804568 + 0.593860i \(0.202397\pi\)
−0.804568 + 0.593860i \(0.797603\pi\)
\(314\) 12.1418 + 1.28096i 0.685203 + 0.0722889i
\(315\) −1.96420 3.20892i −0.110670 0.180802i
\(316\) 8.08311 + 33.2353i 0.454711 + 1.86963i
\(317\) −2.88704 3.62023i −0.162152 0.203333i 0.694117 0.719862i \(-0.255795\pi\)
−0.856269 + 0.516530i \(0.827224\pi\)
\(318\) −4.07159 + 6.58302i −0.228323 + 0.369158i
\(319\) 5.95815 + 12.3722i 0.333592 + 0.692712i
\(320\) −6.70839 + 9.18786i −0.375010 + 0.513617i
\(321\) −1.56267 + 1.24619i −0.0872196 + 0.0695553i
\(322\) −18.5490 23.4822i −1.03369 1.30861i
\(323\) 14.8831 + 11.8689i 0.828117 + 0.660401i
\(324\) 0.842135 1.81406i 0.0467853 0.100781i
\(325\) 3.92793i 0.217882i
\(326\) 13.1563 + 1.38798i 0.728657 + 0.0768733i
\(327\) −3.26535 + 14.3064i −0.180574 + 0.791147i
\(328\) −2.08447 + 1.37243i −0.115095 + 0.0757800i
\(329\) −8.57443 + 13.2974i −0.472723 + 0.733111i
\(330\) −3.38784 + 0.406058i −0.186494 + 0.0223527i
\(331\) 10.5148 + 8.38531i 0.577948 + 0.460898i 0.868312 0.496018i \(-0.165205\pi\)
−0.290364 + 0.956916i \(0.593776\pi\)
\(332\) −4.01806 + 3.29856i −0.220520 + 0.181032i
\(333\) −0.764732 + 3.35051i −0.0419070 + 0.183607i
\(334\) −6.41601 + 10.3735i −0.351069 + 0.567615i
\(335\) 2.99982 + 13.1431i 0.163898 + 0.718082i
\(336\) 8.86602 5.77872i 0.483681 0.315255i
\(337\) −3.73331 + 16.3567i −0.203366 + 0.891005i 0.765503 + 0.643432i \(0.222490\pi\)
−0.968869 + 0.247573i \(0.920367\pi\)
\(338\) −11.3396 11.1800i −0.616794 0.608111i
\(339\) −4.51710 5.66426i −0.245335 0.307640i
\(340\) 6.91421 + 1.47532i 0.374976 + 0.0800104i
\(341\) −0.418350 + 0.868712i −0.0226549 + 0.0470434i
\(342\) −9.12885 + 5.82670i −0.493631 + 0.315072i
\(343\) −6.72786 + 17.2550i −0.363270 + 0.931684i
\(344\) 9.03149 1.21260i 0.486945 0.0653791i
\(345\) 10.2467 + 4.93454i 0.551662 + 0.265667i
\(346\) 19.9540 20.2389i 1.07274 1.08805i
\(347\) 5.59985 4.46573i 0.300616 0.239733i −0.461551 0.887114i \(-0.652707\pi\)
0.762167 + 0.647381i \(0.224136\pi\)
\(348\) 15.8309 + 3.37790i 0.848623 + 0.181075i
\(349\) 4.00327 + 0.913720i 0.214290 + 0.0489103i 0.328318 0.944567i \(-0.393518\pi\)
−0.114028 + 0.993478i \(0.536375\pi\)
\(350\) −4.78774 10.0609i −0.255915 0.537778i
\(351\) −1.28599 + 0.293518i −0.0686409 + 0.0156668i
\(352\) −1.41190 9.49336i −0.0752546 0.505998i
\(353\) −10.4353 2.38180i −0.555418 0.126770i −0.0644065 0.997924i \(-0.520515\pi\)
−0.491011 + 0.871153i \(0.663373\pi\)
\(354\) −14.3300 + 1.71756i −0.761633 + 0.0912874i
\(355\) 13.2968 16.6737i 0.705722 0.884948i
\(356\) −15.0335 18.3127i −0.796776 0.970572i
\(357\) −5.52740 3.56417i −0.292541 0.188636i
\(358\) −2.24789 1.39031i −0.118805 0.0734804i
\(359\) −12.0515 2.75068i −0.636054 0.145175i −0.107678 0.994186i \(-0.534342\pi\)
−0.528376 + 0.849011i \(0.677199\pi\)
\(360\) −2.06699 + 3.45035i −0.108940 + 0.181850i
\(361\) 39.6431 2.08648
\(362\) −17.5014 27.4199i −0.919852 1.44116i
\(363\) −5.06357 + 6.34951i −0.265768 + 0.333263i
\(364\) −6.59375 2.28912i −0.345606 0.119983i
\(365\) −2.11447 2.65146i −0.110676 0.138784i
\(366\) −0.177447 + 0.518885i −0.00927533 + 0.0271226i
\(367\) −5.18409 + 2.49653i −0.270607 + 0.130318i −0.564267 0.825592i \(-0.690841\pi\)
0.293660 + 0.955910i \(0.405127\pi\)
\(368\) −13.0575 + 29.2046i −0.680670 + 1.52239i
\(369\) −0.689862 + 0.550147i −0.0359128 + 0.0286395i
\(370\) 2.23637 6.53952i 0.116263 0.339973i
\(371\) −12.3509 + 7.56005i −0.641227 + 0.392498i
\(372\) 0.507612 + 1.01693i 0.0263184 + 0.0527254i
\(373\) −0.499602 −0.0258684 −0.0129342 0.999916i \(-0.504117\pi\)
−0.0129342 + 0.999916i \(0.504117\pi\)
\(374\) −5.02776 + 3.20908i −0.259979 + 0.165938i
\(375\) 8.86966 + 7.07332i 0.458027 + 0.365265i
\(376\) 16.8448 + 1.53600i 0.868702 + 0.0792129i
\(377\) −4.63212 9.61869i −0.238566 0.495388i
\(378\) 2.93613 2.31930i 0.151018 0.119292i
\(379\) −4.28373 + 8.89526i −0.220041 + 0.456919i −0.981543 0.191244i \(-0.938748\pi\)
0.761502 + 0.648163i \(0.224462\pi\)
\(380\) 19.4867 9.72701i 0.999647 0.498985i
\(381\) −3.85918 + 8.01367i −0.197712 + 0.410553i
\(382\) −13.8996 + 4.97456i −0.711167 + 0.254521i
\(383\) 31.8187 15.3231i 1.62586 0.782974i 0.625866 0.779931i \(-0.284746\pi\)
0.999995 0.00304290i \(-0.000968588\pi\)
\(384\) −9.86636 5.53670i −0.503490 0.282543i
\(385\) −6.00008 2.17881i −0.305792 0.111043i
\(386\) 10.3470 + 28.9109i 0.526648 + 1.47153i
\(387\) 3.14099 0.716910i 0.159665 0.0364426i
\(388\) −0.877526 3.60812i −0.0445496 0.183175i
\(389\) 6.02519 + 26.3981i 0.305489 + 1.33844i 0.861710 + 0.507401i \(0.169394\pi\)
−0.556220 + 0.831035i \(0.687749\pi\)
\(390\) 2.63385 0.315686i 0.133370 0.0159854i
\(391\) 19.8809 1.00542
\(392\) 19.6793 2.17379i 0.993954 0.109793i
\(393\) 1.71773 0.0866480
\(394\) 23.5147 2.81842i 1.18466 0.141990i
\(395\) −5.41164 23.7099i −0.272289 1.19298i
\(396\) −0.801911 3.29721i −0.0402975 0.165691i
\(397\) −8.15913 + 1.86227i −0.409495 + 0.0934646i −0.422306 0.906453i \(-0.638779\pi\)
0.0128109 + 0.999918i \(0.495922\pi\)
\(398\) −10.6341 29.7133i −0.533041 1.48939i
\(399\) −20.1587 + 2.03227i −1.00920 + 0.101741i
\(400\) −7.15957 + 9.51944i −0.357979 + 0.475972i
\(401\) 9.54743 4.59780i 0.476776 0.229603i −0.180032 0.983661i \(-0.557620\pi\)
0.656808 + 0.754057i \(0.271906\pi\)
\(402\) −12.6229 + 4.51762i −0.629572 + 0.225319i
\(403\) 0.325243 0.675374i 0.0162015 0.0336428i
\(404\) 9.84319 4.91334i 0.489717 0.244448i
\(405\) −0.616996 + 1.28121i −0.0306588 + 0.0636637i
\(406\) 23.5888 + 18.9910i 1.17069 + 0.942510i
\(407\) 2.52992 + 5.25344i 0.125404 + 0.260403i
\(408\) −0.638474 + 7.00194i −0.0316092 + 0.346648i
\(409\) −27.7882 22.1603i −1.37404 1.09576i −0.984623 0.174695i \(-0.944106\pi\)
−0.389414 0.921063i \(-0.627323\pi\)
\(410\) 1.49577 0.954713i 0.0738710 0.0471499i
\(411\) −7.33998 −0.362054
\(412\) −10.6267 21.2890i −0.523538 1.04884i
\(413\) −25.3794 9.21605i −1.24884 0.453492i
\(414\) −3.65983 + 10.7019i −0.179871 + 0.525971i
\(415\) 2.88986 2.30459i 0.141858 0.113128i
\(416\) 1.09767 + 7.38054i 0.0538178 + 0.361861i
\(417\) −6.42721 + 3.09518i −0.314742 + 0.151572i
\(418\) −5.94567 + 17.3861i −0.290812 + 0.850383i
\(419\) −12.9174 16.1979i −0.631055 0.791319i 0.358797 0.933416i \(-0.383187\pi\)
−0.989853 + 0.142097i \(0.954616\pi\)
\(420\) −6.36150 + 4.01898i −0.310409 + 0.196106i
\(421\) 7.66711 9.61425i 0.373672 0.468570i −0.559067 0.829123i \(-0.688841\pi\)
0.932739 + 0.360553i \(0.117412\pi\)
\(422\) −0.227834 0.356954i −0.0110908 0.0173762i
\(423\) 5.98023 0.290769
\(424\) 13.2802 + 7.95570i 0.644942 + 0.386363i
\(425\) 7.21677 + 1.64718i 0.350065 + 0.0799000i
\(426\) 18.0379 + 11.1564i 0.873938 + 0.540529i
\(427\) −0.733906 + 0.716893i −0.0355162 + 0.0346929i
\(428\) 2.53643 + 3.08969i 0.122603 + 0.149346i
\(429\) −1.39537 + 1.74974i −0.0673690 + 0.0844781i
\(430\) −6.43311 + 0.771056i −0.310232 + 0.0371836i
\(431\) 15.0667 + 3.43887i 0.725735 + 0.165644i 0.569401 0.822060i \(-0.307175\pi\)
0.156334 + 0.987704i \(0.450032\pi\)
\(432\) −3.65163 1.63266i −0.175689 0.0785516i
\(433\) 9.57062 2.18443i 0.459935 0.104977i 0.0137255 0.999906i \(-0.495631\pi\)
0.446209 + 0.894929i \(0.352774\pi\)
\(434\) −0.00985953 + 2.12633i −0.000473272 + 0.102067i
\(435\) −11.2208 2.56108i −0.537997 0.122794i
\(436\) 28.7025 + 6.12440i 1.37460 + 0.293305i
\(437\) 47.8835 38.1858i 2.29058 1.82667i
\(438\) 2.36789 2.40170i 0.113142 0.114758i
\(439\) −9.73240 4.68688i −0.464502 0.223692i 0.186969 0.982366i \(-0.440134\pi\)
−0.651471 + 0.758673i \(0.725848\pi\)
\(440\) 0.908091 + 6.76348i 0.0432915 + 0.322436i
\(441\) 6.85914 1.39719i 0.326626 0.0665329i
\(442\) 3.90879 2.49488i 0.185922 0.118669i
\(443\) −1.02917 + 2.13710i −0.0488974 + 0.101536i −0.923986 0.382426i \(-0.875089\pi\)
0.875089 + 0.483963i \(0.160803\pi\)
\(444\) 6.72203 + 1.43431i 0.319013 + 0.0680694i
\(445\) 10.5034 + 13.1709i 0.497910 + 0.624359i
\(446\) 9.74217 + 9.60503i 0.461305 + 0.454811i
\(447\) −3.93618 + 17.2455i −0.186175 + 0.815686i
\(448\) −11.8077 17.5664i −0.557860 0.829935i
\(449\) −8.71287 38.1736i −0.411186 1.80152i −0.578573 0.815631i \(-0.696390\pi\)
0.167387 0.985891i \(-0.446467\pi\)
\(450\) −2.21520 + 3.58159i −0.104426 + 0.168838i
\(451\) −0.333132 + 1.45955i −0.0156866 + 0.0687273i
\(452\) −11.1993 + 9.19389i −0.526771 + 0.432444i
\(453\) −9.57613 7.63671i −0.449926 0.358804i
\(454\) −38.6086 + 4.62753i −1.81199 + 0.217181i
\(455\) 4.66472 + 1.69390i 0.218685 + 0.0794114i
\(456\) 11.9111 + 18.0906i 0.557787 + 0.847172i
\(457\) −6.14990 + 26.9445i −0.287680 + 1.26041i 0.600019 + 0.799986i \(0.295160\pi\)
−0.887699 + 0.460423i \(0.847698\pi\)
\(458\) 15.8976 + 1.67720i 0.742848 + 0.0783704i
\(459\) 2.48583i 0.116029i
\(460\) 9.57755 20.6312i 0.446556 0.961934i
\(461\) 24.1769 + 19.2804i 1.12603 + 0.897978i 0.995621 0.0934821i \(-0.0297998\pi\)
0.130408 + 0.991460i \(0.458371\pi\)
\(462\) 1.44132 6.18255i 0.0670563 0.287638i
\(463\) 31.3237 24.9799i 1.45574 1.16091i 0.500251 0.865881i \(-0.333241\pi\)
0.955487 0.295032i \(-0.0953302\pi\)
\(464\) 6.30627 31.7543i 0.292761 1.47416i
\(465\) −0.350633 0.728097i −0.0162602 0.0337647i
\(466\) −5.65054 + 9.13591i −0.261756 + 0.423213i
\(467\) −6.83058 8.56528i −0.316082 0.396354i 0.598257 0.801304i \(-0.295860\pi\)
−0.914339 + 0.404951i \(0.867289\pi\)
\(468\) 0.623440 + 2.56339i 0.0288185 + 0.118493i
\(469\) −24.8897 3.10035i −1.14930 0.143161i
\(470\) −11.9602 1.26180i −0.551683 0.0582025i
\(471\) 8.63322i 0.397798i
\(472\) 3.84109 + 28.6085i 0.176800 + 1.31681i
\(473\) 3.40815 4.27369i 0.156707 0.196504i
\(474\) 22.7715 8.14974i 1.04593 0.374330i
\(475\) 20.5455 9.89421i 0.942694 0.453978i
\(476\) −6.97090 + 11.1547i −0.319511 + 0.511277i
\(477\) 4.93127 + 2.37478i 0.225787 + 0.108734i
\(478\) −19.1709 2.02253i −0.876857 0.0925084i
\(479\) −19.4023 9.34365i −0.886513 0.426922i −0.0655140 0.997852i \(-0.520869\pi\)
−0.820999 + 0.570929i \(0.806583\pi\)
\(480\) 6.95862 + 4.03574i 0.317616 + 0.184205i
\(481\) −1.96687 4.08425i −0.0896815 0.186226i
\(482\) 17.0716 17.3153i 0.777588 0.788691i
\(483\) −15.1367 + 14.7858i −0.688743 + 0.672778i
\(484\) 12.8413 + 9.94609i 0.583696 + 0.452095i
\(485\) 0.587503 + 2.57402i 0.0266771 + 0.116880i
\(486\) −1.33813 0.457611i −0.0606988 0.0207577i
\(487\) −21.3137 + 4.86470i −0.965814 + 0.220441i −0.676212 0.736707i \(-0.736380\pi\)
−0.289601 + 0.957147i \(0.593523\pi\)
\(488\) 1.04270 + 0.340147i 0.0472007 + 0.0153977i
\(489\) 9.35450i 0.423025i
\(490\) −14.0128 + 1.34708i −0.633034 + 0.0608547i
\(491\) 12.1999i 0.550572i −0.961362 0.275286i \(-0.911228\pi\)
0.961362 0.275286i \(-0.0887725\pi\)
\(492\) 1.11974 + 1.36399i 0.0504819 + 0.0614933i
\(493\) −19.6149 + 4.47697i −0.883411 + 0.201633i
\(494\) 4.62242 13.5167i 0.207972 0.608145i
\(495\) 0.536878 + 2.35222i 0.0241309 + 0.105724i
\(496\) 2.01926 1.04396i 0.0906676 0.0468750i
\(497\) 20.7150 + 33.8422i 0.929195 + 1.51803i
\(498\) 2.61765 + 2.58080i 0.117300 + 0.115648i
\(499\) −9.56253 19.8568i −0.428078 0.888913i −0.997750 0.0670407i \(-0.978644\pi\)
0.569673 0.821872i \(-0.307070\pi\)
\(500\) 13.8937 17.9381i 0.621346 0.802216i
\(501\) 7.77071 + 3.74217i 0.347170 + 0.167188i
\(502\) −0.399291 + 3.78475i −0.0178212 + 0.168922i
\(503\) 4.16353 + 2.00505i 0.185643 + 0.0894008i 0.524396 0.851474i \(-0.324291\pi\)
−0.338754 + 0.940875i \(0.610005\pi\)
\(504\) −4.72138 5.80591i −0.210307 0.258616i
\(505\) −7.04749 + 3.39389i −0.313609 + 0.151026i
\(506\) 6.46628 + 18.0677i 0.287461 + 0.803208i
\(507\) −7.02055 + 8.80349i −0.311793 + 0.390977i
\(508\) 16.1352 + 7.49037i 0.715882 + 0.332332i
\(509\) 9.07885i 0.402413i 0.979549 + 0.201206i \(0.0644862\pi\)
−0.979549 + 0.201206i \(0.935514\pi\)
\(510\) 0.524498 4.97155i 0.0232252 0.220144i
\(511\) 5.97969 2.01400i 0.264526 0.0890941i
\(512\) −10.7925 + 19.8877i −0.476967 + 0.878921i
\(513\) 4.77461 + 5.98717i 0.210804 + 0.264340i
\(514\) 22.7013 + 14.0407i 1.00131 + 0.619308i
\(515\) 7.34037 + 15.2424i 0.323455 + 0.671662i
\(516\) −1.52273 6.26102i −0.0670346 0.275626i
\(517\) 7.93281 6.32620i 0.348884 0.278226i
\(518\) 10.0162 + 8.06389i 0.440085 + 0.354307i
\(519\) −15.7125 12.5303i −0.689700 0.550018i
\(520\) −0.705989 5.25822i −0.0309596 0.230588i
\(521\) 41.3292i 1.81067i 0.424701 + 0.905334i \(0.360379\pi\)
−0.424701 + 0.905334i \(0.639621\pi\)
\(522\) 1.20090 11.3829i 0.0525619 0.498217i
\(523\) −2.77781 + 12.1704i −0.121465 + 0.532174i 0.877181 + 0.480160i \(0.159421\pi\)
−0.998646 + 0.0520144i \(0.983436\pi\)
\(524\) −0.0487038 3.43511i −0.00212763 0.150064i
\(525\) −6.71968 + 4.11315i −0.293271 + 0.179513i
\(526\) −1.77851 14.8385i −0.0775467 0.646991i
\(527\) −1.10447 0.880787i −0.0481116 0.0383677i
\(528\) −6.57102 + 1.69715i −0.285967 + 0.0738589i
\(529\) 9.11508 39.9358i 0.396308 1.73634i
\(530\) −9.36127 5.78993i −0.406628 0.251498i
\(531\) 2.27091 + 9.94952i 0.0985492 + 0.431772i
\(532\) 4.63570 + 40.2557i 0.200983 + 1.74530i
\(533\) 0.258991 1.13471i 0.0112181 0.0491499i
\(534\) −11.7623 + 11.9302i −0.509004 + 0.516271i
\(535\) −1.77212 2.22216i −0.0766153 0.0960725i
\(536\) 9.39224 + 25.1151i 0.405683 + 1.08481i
\(537\) −0.810909 + 1.68387i −0.0349933 + 0.0726643i
\(538\) 10.5967 + 16.6021i 0.456856 + 0.715769i
\(539\) 7.62066 9.10934i 0.328245 0.392367i
\(540\) 2.57965 + 1.19754i 0.111010 + 0.0515340i
\(541\) 9.32883 + 4.49253i 0.401078 + 0.193149i 0.623538 0.781793i \(-0.285695\pi\)
−0.222461 + 0.974942i \(0.571409\pi\)
\(542\) 32.7524 + 32.2913i 1.40684 + 1.38703i
\(543\) −17.9834 + 14.3413i −0.771741 + 0.615443i
\(544\) 14.0206 + 1.07829i 0.601127 + 0.0462313i
\(545\) −20.3442 4.64343i −0.871449 0.198903i
\(546\) −1.12054 + 4.80658i −0.0479548 + 0.205703i
\(547\) 2.91929 0.666309i 0.124820 0.0284893i −0.159655 0.987173i \(-0.551038\pi\)
0.284474 + 0.958684i \(0.408181\pi\)
\(548\) 0.208115 + 14.6785i 0.00889022 + 0.627034i
\(549\) 0.378047 + 0.0862867i 0.0161346 + 0.00368263i
\(550\) 0.850311 + 7.09435i 0.0362574 + 0.302504i
\(551\) −38.6438 + 48.4578i −1.64628 + 2.06437i
\(552\) 21.5055 + 7.01548i 0.915334 + 0.298599i
\(553\) 44.9008 + 5.59300i 1.90938 + 0.237839i
\(554\) −16.6739 + 26.9587i −0.708406 + 1.14537i
\(555\) −4.76453 1.08747i −0.202243 0.0461606i
\(556\) 6.37198 + 12.7654i 0.270232 + 0.541372i
\(557\) 4.40297 0.186560 0.0932799 0.995640i \(-0.470265\pi\)
0.0932799 + 0.995640i \(0.470265\pi\)
\(558\) 0.677451 0.432399i 0.0286788 0.0183049i
\(559\) −2.64964 + 3.32255i −0.112068 + 0.140529i
\(560\) 8.21753 + 12.6078i 0.347254 + 0.532775i
\(561\) 2.62964 + 3.29746i 0.111023 + 0.139219i
\(562\) 11.8175 + 4.04132i 0.498491 + 0.170473i
\(563\) −25.8010 + 12.4251i −1.08738 + 0.523656i −0.889670 0.456603i \(-0.849066\pi\)
−0.197714 + 0.980260i \(0.563352\pi\)
\(564\) −0.169561 11.9593i −0.00713981 0.503576i
\(565\) 8.05476 6.42345i 0.338866 0.270237i
\(566\) 17.2877 + 5.91203i 0.726658 + 0.248501i
\(567\) −1.84876 1.89264i −0.0776408 0.0794832i
\(568\) 21.7991 36.3885i 0.914670 1.52683i
\(569\) −11.6071 −0.486596 −0.243298 0.969952i \(-0.578229\pi\)
−0.243298 + 0.969952i \(0.578229\pi\)
\(570\) −8.28575 12.9815i −0.347052 0.543736i
\(571\) −26.5225 21.1510i −1.10993 0.885141i −0.115796 0.993273i \(-0.536942\pi\)
−0.994137 + 0.108132i \(0.965513\pi\)
\(572\) 3.53869 + 2.74085i 0.147960 + 0.114601i
\(573\) 4.52932 + 9.40523i 0.189215 + 0.392909i
\(574\) 0.719724 + 3.22211i 0.0300407 + 0.134488i
\(575\) 10.3332 21.4572i 0.430926 0.894827i
\(576\) −3.16146 + 7.34882i −0.131728 + 0.306201i
\(577\) 7.65840 15.9028i 0.318823 0.662044i −0.678544 0.734560i \(-0.737389\pi\)
0.997367 + 0.0725163i \(0.0231029\pi\)
\(578\) 5.15643 + 14.4078i 0.214479 + 0.599285i
\(579\) 19.5627 9.42089i 0.812997 0.391519i
\(580\) −4.80349 + 22.5120i −0.199454 + 0.934759i
\(581\) 2.19509 + 6.51735i 0.0910676 + 0.270385i
\(582\) −2.47214 + 0.884759i −0.102474 + 0.0366745i
\(583\) 9.05352 2.06641i 0.374958 0.0855818i
\(584\) −4.87006 4.66721i −0.201525 0.193131i
\(585\) −0.417392 1.82871i −0.0172570 0.0756080i
\(586\) 3.42568 + 28.5813i 0.141513 + 1.18068i
\(587\) −25.9925 −1.07282 −0.536412 0.843956i \(-0.680221\pi\)
−0.536412 + 0.843956i \(0.680221\pi\)
\(588\) −2.98858 13.6773i −0.123247 0.564042i
\(589\) −4.35190 −0.179317
\(590\) −2.44243 20.3778i −0.100553 0.838940i
\(591\) −3.72643 16.3266i −0.153285 0.671586i
\(592\) 2.67774 13.4834i 0.110054 0.554163i
\(593\) −26.4267 + 6.03173i −1.08522 + 0.247694i −0.727480 0.686129i \(-0.759309\pi\)
−0.357737 + 0.933823i \(0.616451\pi\)
\(594\) −2.25912 + 0.808520i −0.0926929 + 0.0331740i
\(595\) 5.06836 7.86014i 0.207783 0.322234i
\(596\) 34.5992 + 7.38260i 1.41724 + 0.302403i
\(597\) −20.1056 + 9.68233i −0.822866 + 0.396271i
\(598\) −5.02716 14.0466i −0.205576 0.574409i
\(599\) −11.1590 + 23.1720i −0.455946 + 0.946781i 0.538608 + 0.842556i \(0.318950\pi\)
−0.994554 + 0.104224i \(0.966764\pi\)
\(600\) 7.22526 + 4.32841i 0.294970 + 0.176707i
\(601\) 15.9723 33.1669i 0.651526 1.35291i −0.269347 0.963043i \(-0.586808\pi\)
0.920873 0.389864i \(-0.127478\pi\)
\(602\) 2.73690 11.7399i 0.111548 0.478484i
\(603\) 4.11328 + 8.54131i 0.167506 + 0.347829i
\(604\) −15.0004 + 19.3669i −0.610356 + 0.788026i
\(605\) −9.02921 7.20056i −0.367090 0.292744i
\(606\) −4.18533 6.55726i −0.170017 0.266371i
\(607\) 40.4498 1.64181 0.820904 0.571066i \(-0.193470\pi\)
0.820904 + 0.571066i \(0.193470\pi\)
\(608\) 35.8399 24.3327i 1.45350 0.986820i
\(609\) 11.6046 17.9967i 0.470241 0.729261i
\(610\) −0.737871 0.252336i −0.0298755 0.0102168i
\(611\) −6.16730 + 4.91826i −0.249502 + 0.198971i
\(612\) 4.97116 0.0704822i 0.200947 0.00284907i
\(613\) −26.7823 + 12.8977i −1.08173 + 0.520932i −0.887869 0.460097i \(-0.847815\pi\)
−0.193859 + 0.981029i \(0.562100\pi\)
\(614\) 8.39144 + 2.86969i 0.338651 + 0.115811i
\(615\) −0.782326 0.981006i −0.0315464 0.0395580i
\(616\) −12.4047 2.70705i −0.499801 0.109070i
\(617\) −18.3080 + 22.9574i −0.737050 + 0.924232i −0.999167 0.0408041i \(-0.987008\pi\)
0.262117 + 0.965036i \(0.415579\pi\)
\(618\) −14.1822 + 9.05210i −0.570490 + 0.364129i
\(619\) −42.9810 −1.72755 −0.863777 0.503875i \(-0.831907\pi\)
−0.863777 + 0.503875i \(0.831907\pi\)
\(620\) −1.44611 + 0.721840i −0.0580770 + 0.0289898i
\(621\) 7.79716 + 1.77965i 0.312889 + 0.0714149i
\(622\) −14.2550 + 23.0478i −0.571574 + 0.924132i
\(623\) −29.7035 + 10.0044i −1.19005 + 0.400816i
\(624\) 5.10859 1.31944i 0.204507 0.0528197i
\(625\) −0.775262 + 0.972148i −0.0310105 + 0.0388859i
\(626\) −3.53646 29.5056i −0.141345 1.17928i
\(627\) 12.6671 + 2.89118i 0.505875 + 0.115463i
\(628\) −17.2647 + 0.244783i −0.688936 + 0.00976789i
\(629\) −8.32879 + 1.90099i −0.332091 + 0.0757975i
\(630\) 3.29811 + 4.17527i 0.131400 + 0.166347i
\(631\) 14.1708 + 3.23440i 0.564132 + 0.128759i 0.495070 0.868853i \(-0.335142\pi\)
0.0690617 + 0.997612i \(0.477999\pi\)
\(632\) −16.9435 45.3074i −0.673976 1.80223i
\(633\) −0.234109 + 0.186696i −0.00930500 + 0.00742049i
\(634\) 4.66316 + 4.59751i 0.185198 + 0.182591i
\(635\) −11.3957 5.48788i −0.452224 0.217780i
\(636\) 4.60926 9.92889i 0.182769 0.393706i
\(637\) −5.92463 + 7.08199i −0.234742 + 0.280599i
\(638\) −10.4485 16.3699i −0.413658 0.648090i
\(639\) 6.50703 13.5120i 0.257414 0.534526i
\(640\) 7.87336 14.0303i 0.311222 0.554595i
\(641\) 4.12633 + 5.17426i 0.162980 + 0.204371i 0.856615 0.515956i \(-0.172563\pi\)
−0.693635 + 0.720327i \(0.743992\pi\)
\(642\) 1.98451 2.01285i 0.0783223 0.0794407i
\(643\) 8.83827 38.7230i 0.348547 1.52709i −0.431934 0.901905i \(-0.642169\pi\)
0.780481 0.625180i \(-0.214974\pi\)
\(644\) 29.9978 + 29.8511i 1.18208 + 1.17630i
\(645\) 1.01947 + 4.46658i 0.0401415 + 0.175872i
\(646\) −22.8958 14.1610i −0.900824 0.557158i
\(647\) 1.24669 5.46209i 0.0490123 0.214737i −0.944492 0.328536i \(-0.893445\pi\)
0.993504 + 0.113799i \(0.0363020\pi\)
\(648\) −0.877190 + 2.68897i −0.0344593 + 0.105633i
\(649\) 13.5375 + 10.7958i 0.531393 + 0.423772i
\(650\) −0.661068 5.51545i −0.0259292 0.216334i
\(651\) 1.49597 0.150815i 0.0586318 0.00591089i
\(652\) −18.7071 + 0.265234i −0.732628 + 0.0103874i
\(653\) −3.08923 + 13.5348i −0.120891 + 0.529658i 0.877824 + 0.478983i \(0.158995\pi\)
−0.998715 + 0.0506753i \(0.983863\pi\)
\(654\) 2.17732 20.6381i 0.0851399 0.807014i
\(655\) 2.44266i 0.0954428i
\(656\) 2.69595 2.27794i 0.105259 0.0889384i
\(657\) −1.86456 1.48693i −0.0727433 0.0580108i
\(658\) 9.80195 20.1148i 0.382120 0.784158i
\(659\) 27.5847 21.9981i 1.07455 0.856923i 0.0843273 0.996438i \(-0.473126\pi\)
0.990220 + 0.139515i \(0.0445545\pi\)
\(660\) 4.68874 1.14034i 0.182509 0.0443878i
\(661\) −14.1894 29.4646i −0.551904 1.14604i −0.971217 0.238198i \(-0.923443\pi\)
0.419313 0.907842i \(-0.362271\pi\)
\(662\) −16.1758 10.0047i −0.628690 0.388844i
\(663\) −2.04439 2.56359i −0.0793977 0.0995616i
\(664\) 5.08686 5.30795i 0.197409 0.205989i
\(665\) −2.88995 28.6663i −0.112068 1.11163i
\(666\) 0.509920 4.83337i 0.0197590 0.187289i
\(667\) 64.7301i 2.50636i
\(668\) 7.26327 15.6460i 0.281024 0.605360i
\(669\) 6.03154 7.56332i 0.233193 0.292415i
\(670\) −6.42420 17.9501i −0.248189 0.693474i
\(671\) 0.592760 0.285458i 0.0228832 0.0110200i
\(672\) −11.4768 + 9.60642i −0.442727 + 0.370576i
\(673\) 5.59689 + 2.69532i 0.215744 + 0.103897i 0.538635 0.842539i \(-0.318940\pi\)
−0.322891 + 0.946436i \(0.604655\pi\)
\(674\) 2.48935 23.5958i 0.0958863 0.908875i
\(675\) 2.68293 + 1.29203i 0.103266 + 0.0497303i
\(676\) 17.8043 + 13.7901i 0.684779 + 0.530387i
\(677\) 2.55976 + 5.31541i 0.0983798 + 0.204288i 0.944350 0.328943i \(-0.106692\pi\)
−0.845970 + 0.533230i \(0.820978\pi\)
\(678\) 7.29603 + 7.19332i 0.280202 + 0.276258i
\(679\) −4.87456 0.607192i −0.187068 0.0233019i
\(680\) −9.95698 0.907930i −0.381833 0.0348175i
\(681\) 6.11839 + 26.8064i 0.234457 + 1.02722i
\(682\) 0.441228 1.29022i 0.0168955 0.0494051i
\(683\) 13.1159 2.99362i 0.501866 0.114548i 0.0359089 0.999355i \(-0.488567\pi\)
0.465957 + 0.884808i \(0.345710\pi\)
\(684\) 11.8378 9.71802i 0.452628 0.371578i
\(685\) 10.4377i 0.398803i
\(686\) 6.54301 25.3612i 0.249813 0.968294i
\(687\) 11.3037i 0.431263i
\(688\) −12.4776 + 3.22268i −0.475704 + 0.122864i
\(689\) −7.03859 + 1.60651i −0.268149 + 0.0612033i
\(690\) −15.2185 5.20439i −0.579358 0.198128i
\(691\) −7.60625 33.3252i −0.289356 1.26775i −0.885412 0.464807i \(-0.846124\pi\)
0.596056 0.802943i \(-0.296733\pi\)
\(692\) −24.6125 + 31.7770i −0.935627 + 1.20798i
\(693\) −4.45452 0.554871i −0.169213 0.0210778i
\(694\) −7.11152 + 7.21307i −0.269950 + 0.273804i
\(695\) −4.40145 9.13970i −0.166956 0.346689i
\(696\) −22.7976 2.07881i −0.864141 0.0787970i
\(697\) −1.97620 0.951687i −0.0748538 0.0360477i
\(698\) −5.77502 0.609264i −0.218588 0.0230610i
\(699\) 6.84361 + 3.29571i 0.258849 + 0.124655i
\(700\) 8.41601 + 13.3214i 0.318095 + 0.503501i
\(701\) 30.5934 14.7330i 1.15550 0.556458i 0.244817 0.969569i \(-0.421272\pi\)
0.910681 + 0.413111i \(0.135558\pi\)
\(702\) 1.75634 0.628578i 0.0662887 0.0237242i
\(703\) −16.4088 + 20.5759i −0.618869 + 0.776037i
\(704\) 3.58027 + 13.0926i 0.134936 + 0.493446i
\(705\) 8.50408i 0.320282i
\(706\) 15.0538 + 1.58817i 0.566557 + 0.0597717i
\(707\) −1.45978 14.4800i −0.0549008 0.544576i
\(708\) 19.8327 4.82347i 0.745357 0.181277i
\(709\) −19.4725 24.4178i −0.731306 0.917029i 0.267612 0.963527i \(-0.413765\pi\)
−0.998918 + 0.0464979i \(0.985194\pi\)
\(710\) −15.8647 + 25.6504i −0.595393 + 0.962644i
\(711\) −7.42030 15.4084i −0.278283 0.577861i
\(712\) 24.1916 + 23.1839i 0.906617 + 0.868854i
\(713\) −3.55343 + 2.83376i −0.133077 + 0.106125i
\(714\) 8.36122 + 4.07442i 0.312911 + 0.152481i
\(715\) −2.48818 1.98426i −0.0930527 0.0742071i
\(716\) 3.39039 + 1.57391i 0.126705 + 0.0588198i
\(717\) 13.6311i 0.509063i
\(718\) 17.3852 + 1.83414i 0.648811 + 0.0684495i
\(719\) −3.92315 + 17.1885i −0.146309 + 0.641021i 0.847583 + 0.530663i \(0.178057\pi\)
−0.993892 + 0.110358i \(0.964800\pi\)
\(720\) 2.32170 5.19273i 0.0865247 0.193522i
\(721\) −31.3176 + 3.15724i −1.16633 + 0.117582i
\(722\) −55.6654 + 6.67192i −2.07165 + 0.248303i
\(723\) −13.4427 10.7202i −0.499940 0.398689i
\(724\) 29.1895 + 35.5565i 1.08482 + 1.32145i
\(725\) −5.36306 + 23.4971i −0.199179 + 0.872660i
\(726\) 6.04146 9.76795i 0.224220 0.362523i
\(727\) 9.14201 + 40.0538i 0.339058 + 1.48551i 0.801034 + 0.598619i \(0.204284\pi\)
−0.461976 + 0.886893i \(0.652859\pi\)
\(728\) 9.64396 + 2.10458i 0.357429 + 0.0780009i
\(729\) −0.222521 + 0.974928i −0.00824152 + 0.0361084i
\(730\) 3.41530 + 3.36722i 0.126406 + 0.124626i
\(731\) 4.99338 + 6.26150i 0.184687 + 0.231590i
\(732\) 0.161837 0.758464i 0.00598167 0.0280336i
\(733\) 14.0440 29.1626i 0.518726 1.07715i −0.462914 0.886403i \(-0.653196\pi\)
0.981640 0.190743i \(-0.0610897\pi\)
\(734\) 6.85915 4.37801i 0.253176 0.161595i
\(735\) 1.98685 + 9.75392i 0.0732861 + 0.359779i
\(736\) 13.4198 43.2055i 0.494660 1.59258i
\(737\) 14.4917 + 6.97885i 0.533810 + 0.257069i
\(738\) 0.876090 0.888600i 0.0322493 0.0327098i
\(739\) −13.5331 + 10.7923i −0.497821 + 0.396999i −0.839958 0.542651i \(-0.817421\pi\)
0.342137 + 0.939650i \(0.388849\pi\)
\(740\) −2.03964 + 9.55893i −0.0749785 + 0.351393i
\(741\) −9.84793 2.24773i −0.361773 0.0825723i
\(742\) 16.0703 12.6942i 0.589960 0.466019i
\(743\) −37.9342 + 8.65823i −1.39167 + 0.317640i −0.851694 0.524040i \(-0.824424\pi\)
−0.539977 + 0.841680i \(0.681567\pi\)
\(744\) −0.883919 1.34251i −0.0324060 0.0492186i
\(745\) −24.5237 5.59738i −0.898479 0.205072i
\(746\) 0.701523 0.0840827i 0.0256846 0.00307849i
\(747\) 1.62063 2.03221i 0.0592958 0.0743546i
\(748\) 6.51971 5.35225i 0.238384 0.195698i
\(749\) 5.01152 1.68792i 0.183117 0.0616751i
\(750\) −13.6449 8.43934i −0.498241 0.308161i
\(751\) 6.75387 + 1.54153i 0.246452 + 0.0562511i 0.343962 0.938983i \(-0.388231\pi\)
−0.0975102 + 0.995235i \(0.531088\pi\)
\(752\) −23.9113 + 0.678176i −0.871956 + 0.0247305i
\(753\) 2.69108 0.0980682
\(754\) 8.12307 + 12.7266i 0.295825 + 0.463477i
\(755\) 10.8596 13.6176i 0.395223 0.495594i
\(756\) −3.73247 + 3.75082i −0.135749 + 0.136416i
\(757\) −9.68453 12.1440i −0.351990 0.441382i 0.574042 0.818826i \(-0.305375\pi\)
−0.926032 + 0.377444i \(0.876803\pi\)
\(758\) 4.51799 13.2114i 0.164101 0.479858i
\(759\) 12.2256 5.88753i 0.443760 0.213704i
\(760\) −25.7255 + 16.9379i −0.933161 + 0.614403i
\(761\) 4.90525 3.91180i 0.177815 0.141803i −0.530538 0.847661i \(-0.678010\pi\)
0.708353 + 0.705858i \(0.249439\pi\)
\(762\) 4.07023 11.9020i 0.147449 0.431164i
\(763\) 21.0400 32.6293i 0.761699 1.18126i
\(764\) 18.6802 9.32440i 0.675824 0.337345i
\(765\) −3.53493 −0.127806
\(766\) −42.0998 + 26.8712i −1.52113 + 0.970896i
\(767\) −10.5246 8.39311i −0.380022 0.303058i
\(768\) 14.7858 + 6.11393i 0.533537 + 0.220617i
\(769\) −5.55559 11.5363i −0.200340 0.416010i 0.776459 0.630167i \(-0.217014\pi\)
−0.976799 + 0.214158i \(0.931299\pi\)
\(770\) 8.79178 + 2.04960i 0.316834 + 0.0738626i
\(771\) 8.18931 17.0053i 0.294931 0.612430i
\(772\) −19.3946 38.8543i −0.698025 1.39840i
\(773\) 1.61731 3.35837i 0.0581704 0.120792i −0.869857