Properties

Label 588.2.x.b.223.1
Level $588$
Weight $2$
Character 588.223
Analytic conductor $4.695$
Analytic rank $0$
Dimension $168$
CM no
Inner twists $2$

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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 223.1
Character \(\chi\) \(=\) 588.223
Dual form 588.2.x.b.559.1

$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).

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

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 −0.0990318 0.995084i \(-0.531575\pi\)
−0.520975 + 0.853572i \(0.674432\pi\)
\(6\) −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 0.760018 0.649902i \(-0.225190\pi\)
−0.981977 + 0.188999i \(0.939476\pi\)
\(12\) 0.893226 1.78945i 0.257852 0.516571i
\(13\) 0.572318 + 1.18843i 0.158732 + 0.329611i 0.965134 0.261757i \(-0.0843021\pi\)
−0.806401 + 0.591369i \(0.798588\pi\)
\(14\) −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 −0.830170 0.557510i \(-0.811757\pi\)
0.358802 + 0.933414i \(0.383185\pi\)
\(18\) 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 −0.996097 0.0882702i \(-0.971866\pi\)
−0.307709 0.951480i \(-0.599562\pi\)
\(24\) −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 0.984360 + 0.176169i \(0.0563706\pi\)
−0.0472885 + 0.998881i \(0.515058\pi\)
\(30\) 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 0.926118 0.377233i \(-0.123124\pi\)
−0.573856 + 0.818956i \(0.694553\pi\)
\(38\) 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 0.289166 0.957279i \(-0.406622\pi\)
−0.154818 + 0.987943i \(0.549479\pi\)
\(42\) −3.65167 0.815674i −0.563465 0.125861i
\(43\) −3.14099 + 0.716910i −0.478996 + 0.109328i −0.455200 0.890389i \(-0.650432\pi\)
−0.0237959 + 0.999717i \(0.507575\pi\)
\(44\) −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 −0.783400 0.621517i \(-0.786517\pi\)
−0.00252046 + 0.999997i \(0.500802\pi\)
\(48\) 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 −0.958864 0.283865i \(-0.908383\pi\)
0.490115 + 0.871658i \(0.336955\pi\)
\(54\) 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 0.876537 + 0.481335i \(0.159848\pi\)
−0.580889 + 0.813983i \(0.697295\pi\)
\(60\) −1.80459 + 2.19822i −0.232972 + 0.283788i
\(61\) −0.303170 + 0.241770i −0.0388169 + 0.0309555i −0.642706 0.766113i \(-0.722188\pi\)
0.603889 + 0.797068i \(0.293617\pi\)
\(62\) −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 \(0.196593\pi\)
−0.815263 + 0.579092i \(0.803407\pi\)
\(68\) −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 −0.980152 0.198246i \(-0.936476\pi\)
−0.411380 0.911464i \(-0.634953\pi\)
\(72\) 1.95702 + 2.04208i 0.230637 + 0.240661i
\(73\) 1.03475 2.14868i 0.121108 0.251484i −0.831597 0.555380i \(-0.812573\pi\)
0.952705 + 0.303895i \(0.0982873\pi\)
\(74\) −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 \(-0.587955\pi\)
0.272817 0.962066i \(-0.412045\pi\)
\(80\) −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 0.300919 0.953650i \(-0.402707\pi\)
−0.557974 + 0.829859i \(0.688421\pi\)
\(84\) 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 0.428823 + 0.903389i \(0.358929\pi\)
−0.973664 + 0.227987i \(0.926786\pi\)
\(90\) −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 \(0.0300476\pi\)
−0.995548 + 0.0942571i \(0.969952\pi\)
\(98\) 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 0.480833 0.876812i \(-0.340334\pi\)
0.0527808 + 0.998606i \(0.483192\pi\)
\(102\) −1.13754 3.32636i −0.112634 0.329359i
\(103\) −2.64732 + 11.5987i −0.260848 + 1.14285i 0.659486 + 0.751717i \(0.270774\pi\)
−0.920334 + 0.391133i \(0.872083\pi\)
\(104\) −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 −0.854836 0.518899i \(-0.826342\pi\)
0.938673 + 0.344810i \(0.112056\pi\)
\(108\) −1.58118 + 1.22469i −0.152150 + 0.117846i
\(109\) 13.2211 6.36695i 1.26635 0.609844i 0.324506 0.945884i \(-0.394802\pi\)
0.941848 + 0.336040i \(0.109088\pi\)
\(110\) −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 0.100892 0.994897i \(-0.467830\pi\)
−0.714937 + 0.699189i \(0.753545\pi\)
\(114\) 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 −0.264353 0.964426i \(-0.585159\pi\)
0.881422 + 0.472330i \(0.156587\pi\)
\(128\) −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 0.988877 0.148736i \(-0.0475203\pi\)
−0.955481 + 0.295051i \(0.904663\pi\)
\(132\) −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 −0.995536 0.0943873i \(-0.969911\pi\)
0.855993 0.516987i \(-0.172946\pi\)
\(138\) 9.61922 5.94947i 0.818843 0.506452i
\(139\) 1.58739 6.95481i 0.134641 0.589899i −0.861921 0.507043i \(-0.830739\pi\)
0.996561 0.0828565i \(-0.0264043\pi\)
\(140\) 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 0.353784 0.935327i \(-0.384895\pi\)
0.951849 + 0.306568i \(0.0991806\pi\)
\(150\) 2.99886 2.95664i 0.244856 0.241409i
\(151\) −9.57613 7.63671i −0.779294 0.621466i 0.150894 0.988550i \(-0.451785\pi\)
−0.930188 + 0.367084i \(0.880356\pi\)
\(152\) 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 −0.544765 0.838589i \(-0.683381\pi\)
−0.126966 + 0.991907i \(0.540524\pi\)
\(158\) −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 −0.564216 0.825627i \(-0.690821\pi\)
−0.150115 + 0.988669i \(0.547964\pi\)
\(164\) 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 0.945077 0.326849i \(-0.105987\pi\)
−0.528954 + 0.848651i \(0.677415\pi\)
\(168\) −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 −0.194992 0.980805i \(-0.562468\pi\)
−0.999604 + 0.0281460i \(0.991040\pi\)
\(174\) −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 −0.567359 0.823470i \(-0.692035\pi\)
0.676575 + 0.736374i \(0.263463\pi\)
\(180\) 1.74154 + 2.24849i 0.129807 + 0.167593i
\(181\) 9.98002 20.7237i 0.741809 1.54038i −0.0965889 0.995324i \(-0.530793\pi\)
0.838398 0.545058i \(-0.183492\pi\)
\(182\) 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 0.574243 0.818685i \(-0.305297\pi\)
0.162160 + 0.986764i \(0.448154\pi\)
\(192\) 6.46108 4.71747i 0.466288 0.340454i
\(193\) −4.83158 + 21.1685i −0.347785 + 1.52375i 0.434412 + 0.900714i \(0.356956\pi\)
−0.782197 + 0.623031i \(0.785901\pi\)
\(194\) 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 −0.420534 0.907277i \(-0.638157\pi\)
0.772541 0.634965i \(-0.218985\pi\)
\(200\) 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 −0.896449 0.443147i \(-0.853862\pi\)
0.905393 + 0.424574i \(0.139576\pi\)
\(212\) −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 −0.941634 0.336639i \(-0.890710\pi\)
0.537732 + 0.843116i \(0.319281\pi\)
\(224\) 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 −0.570540 0.821270i \(-0.693266\pi\)
−0.157703 + 0.987487i \(0.550409\pi\)
\(230\) −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 0.912375 0.409355i \(-0.134246\pi\)
−0.602114 + 0.798410i \(0.705675\pi\)
\(234\) −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 0.230079 0.973172i \(-0.426101\pi\)
0.629538 + 0.776970i \(0.283244\pi\)
\(240\) −4.54591 + 3.41898i −0.293438 + 0.220694i
\(241\) −13.4427 10.7202i −0.865921 0.690549i 0.0861975 0.996278i \(-0.472528\pi\)
−0.952119 + 0.305729i \(0.901100\pi\)
\(242\) −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 0.990304 0.138917i \(-0.0443620\pi\)
−0.952507 + 0.304517i \(0.901505\pi\)
\(252\) 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 −0.964256 0.264973i \(-0.914637\pi\)
0.0437629 + 0.999042i \(0.486065\pi\)
\(258\) 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 \(-0.894363\pi\)
0.945435 0.325811i \(-0.105637\pi\)
\(264\) 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 −0.999947 0.0103107i \(-0.996718\pi\)
0.631518 + 0.775361i \(0.282432\pi\)
\(270\) −1.71035 + 1.05785i −0.104089 + 0.0643787i
\(271\) −20.2776 + 25.4273i −1.23177 + 1.54460i −0.494167 + 0.869367i \(0.664527\pi\)
−0.737607 + 0.675230i \(0.764044\pi\)
\(272\) −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 0.997852 + 0.0655109i \(0.0208677\pi\)
−0.158175 + 0.987411i \(0.550561\pi\)
\(278\) −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 −0.655890 0.754856i \(-0.727707\pi\)
0.181229 + 0.983441i \(0.441992\pi\)
\(282\) −0.887323 8.41065i −0.0528393 0.500847i
\(283\) −11.6399 + 5.60548i −0.691921 + 0.333211i −0.746582 0.665294i \(-0.768306\pi\)
0.0546612 + 0.998505i \(0.482592\pi\)
\(284\) −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 \(0.202676\pi\)
−0.804047 + 0.594566i \(0.797324\pi\)
\(294\) 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 −0.588111 0.808780i \(-0.700128\pi\)
0.265649 + 0.964070i \(0.414414\pi\)
\(308\) 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 0.995120 0.0986701i \(-0.0314588\pi\)
−0.317631 + 0.948214i \(0.602887\pi\)
\(312\) −3.69768 0.496465i −0.209340 0.0281068i
\(313\) 21.0129i 1.18772i −0.804568 0.593860i \(-0.797603\pi\)
0.804568 0.593860i \(-0.202397\pi\)
\(314\) 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 −0.856269 0.516530i \(-0.827224\pi\)
0.694117 + 0.719862i \(0.255795\pi\)
\(318\) −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 −0.290364 0.956916i \(-0.593776\pi\)
0.868312 + 0.496018i \(0.165205\pi\)
\(332\) −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 −0.968869 0.247573i \(-0.920367\pi\)
0.765503 0.643432i \(-0.222490\pi\)
\(338\) −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 0.762167 0.647381i \(-0.224136\pi\)
−0.461551 + 0.887114i \(0.652707\pi\)
\(348\) 15.8309 3.37790i 0.848623 0.181075i
\(349\) 4.00327 0.913720i 0.214290 0.0489103i −0.114028 0.993478i \(-0.536375\pi\)
0.328318 + 0.944567i \(0.393518\pi\)
\(350\) −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 −0.491011 0.871153i \(-0.663373\pi\)
−0.0644065 + 0.997924i \(0.520515\pi\)
\(354\) −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 −0.528376 0.849011i \(-0.677199\pi\)
−0.107678 + 0.994186i \(0.534342\pi\)
\(360\) −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 0.293660 0.955910i \(-0.405127\pi\)
−0.564267 + 0.825592i \(0.690841\pi\)
\(368\) −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 0.761502 0.648163i \(-0.224462\pi\)
−0.981543 + 0.191244i \(0.938748\pi\)
\(380\) 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 0.999995 + 0.00304290i \(0.000968588\pi\)
0.625866 + 0.779931i \(0.284746\pi\)
\(384\) −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 −0.556220 0.831035i \(-0.687749\pi\)
0.861710 0.507401i \(-0.169394\pi\)
\(390\) 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 0.0128109 0.999918i \(-0.495922\pi\)
−0.422306 + 0.906453i \(0.638779\pi\)
\(398\) −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 0.656808 0.754057i \(-0.271906\pi\)
−0.180032 + 0.983661i \(0.557620\pi\)
\(402\) −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 −0.389414 + 0.921063i \(0.627323\pi\)
−0.984623 + 0.174695i \(0.944106\pi\)
\(410\) 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 −0.989853 0.142097i \(-0.954616\pi\)
0.358797 + 0.933416i \(0.383187\pi\)
\(420\) −6.36150 4.01898i −0.310409 0.196106i
\(421\) 7.66711 + 9.61425i 0.373672 + 0.468570i 0.932739 0.360553i \(-0.117412\pi\)
−0.559067 + 0.829123i \(0.688841\pi\)
\(422\) −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 0.156334 0.987704i \(-0.450032\pi\)
0.569401 + 0.822060i \(0.307175\pi\)
\(432\) −3.65163 + 1.63266i −0.175689 + 0.0785516i
\(433\) 9.57062 + 2.18443i 0.459935 + 0.104977i 0.446209 0.894929i \(-0.352774\pi\)
0.0137255 + 0.999906i \(0.495631\pi\)
\(434\) −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 −0.651471 0.758673i \(-0.725848\pi\)
0.186969 + 0.982366i \(0.440134\pi\)
\(440\) 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 0.875089 0.483963i \(-0.160803\pi\)
−0.923986 + 0.382426i \(0.875089\pi\)
\(444\) 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 0.167387 + 0.985891i \(0.446467\pi\)
−0.578573 + 0.815631i \(0.696390\pi\)
\(450\) −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 −0.887699 0.460423i \(-0.847698\pi\)
0.600019 0.799986i \(-0.295160\pi\)
\(458\) 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 0.130408 0.991460i \(-0.458371\pi\)
0.995621 + 0.0934821i \(0.0297998\pi\)
\(462\) 1.44132 + 6.18255i 0.0670563 + 0.287638i
\(463\) 31.3237 + 24.9799i 1.45574 + 1.16091i 0.955487 + 0.295032i \(0.0953302\pi\)
0.500251 + 0.865881i \(0.333241\pi\)
\(464\) 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 −0.914339 0.404951i \(-0.867289\pi\)
0.598257 + 0.801304i \(0.295860\pi\)
\(468\) 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 −0.820999 0.570929i \(-0.806583\pi\)
−0.0655140 + 0.997852i \(0.520869\pi\)
\(480\) 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 −0.289601 0.957147i \(-0.593523\pi\)
−0.676212 + 0.736707i \(0.736380\pi\)
\(488\) 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 \(0.0887725\pi\)
−0.961362 + 0.275286i \(0.911228\pi\)
\(492\) 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 0.569673 + 0.821872i \(0.307070\pi\)
−0.997750 + 0.0670407i \(0.978644\pi\)
\(500\) 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 −0.338754 0.940875i \(-0.610005\pi\)
0.524396 + 0.851474i \(0.324291\pi\)
\(504\) −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 \(-0.935514\pi\)
0.979549 0.201206i \(-0.0644862\pi\)
\(510\) 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 \(-0.639621\pi\)
0.424701 0.905334i \(-0.360379\pi\)
\(522\) 1.20090 + 11.3829i 0.0525619 + 0.498217i
\(523\) −2.77781 12.1704i −0.121465 0.532174i −0.998646 0.0520144i \(-0.983436\pi\)
0.877181 0.480160i \(-0.159421\pi\)
\(524\) −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 −0.222461 0.974942i \(-0.571409\pi\)
0.623538 + 0.781793i \(0.285695\pi\)
\(542\) 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 0.284474 0.958684i \(-0.408181\pi\)
−0.159655 + 0.987173i \(0.551038\pi\)
\(548\) 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 −0.197714 0.980260i \(-0.563352\pi\)
−0.889670 + 0.456603i \(0.849066\pi\)
\(564\) −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 −0.994137 0.108132i \(-0.965513\pi\)
−0.115796 + 0.993273i \(0.536942\pi\)
\(572\) 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 0.997367 0.0725163i \(-0.0231029\pi\)
−0.678544 + 0.734560i \(0.737389\pi\)
\(578\) 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 −0.357737 0.933823i \(-0.616451\pi\)
−0.727480 + 0.686129i \(0.759309\pi\)
\(594\) −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 −0.994554 0.104224i \(-0.966764\pi\)
0.538608 0.842556i \(-0.318950\pi\)
\(600\) 7.22526 4.32841i 0.294970 0.176707i
\(601\) 15.9723 + 33.1669i 0.651526 + 1.35291i 0.920873 + 0.389864i \(0.127478\pi\)
−0.269347 + 0.963043i \(0.586808\pi\)
\(602\) 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 −0.193859 0.981029i \(-0.562100\pi\)
−0.887869 + 0.460097i \(0.847815\pi\)
\(614\) 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 0.262117 0.965036i \(-0.415579\pi\)
−0.999167 + 0.0408041i \(0.987008\pi\)
\(618\) −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 0.0690617 0.997612i \(-0.477999\pi\)
0.495070 + 0.868853i \(0.335142\pi\)
\(632\) −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 −0.693635 0.720327i \(-0.743992\pi\)
0.856615 + 0.515956i \(0.172563\pi\)
\(642\) 1.98451 + 2.01285i 0.0783223 + 0.0794407i
\(643\) 8.83827 + 38.7230i 0.348547 + 1.52709i 0.780481 + 0.625180i \(0.214974\pi\)
−0.431934 + 0.901905i \(0.642169\pi\)
\(644\) 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 0.993504 0.113799i \(-0.0363020\pi\)
−0.944492 + 0.328536i \(0.893445\pi\)
\(648\) −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 −0.998715 0.0506753i \(-0.983863\pi\)
0.877824 0.478983i \(-0.158995\pi\)
\(654\) 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 0.990220 0.139515i \(-0.0445545\pi\)
0.0843273 + 0.996438i \(0.473126\pi\)
\(660\) 4.68874 + 1.14034i 0.182509 + 0.0443878i
\(661\) −14.1894 + 29.4646i −0.551904 + 1.14604i 0.419313 + 0.907842i \(0.362271\pi\)
−0.971217 + 0.238198i \(0.923443\pi\)
\(662\) −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 −0.322891 0.946436i \(-0.604655\pi\)
0.538635 + 0.842539i \(0.318940\pi\)
\(674\) 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 −0.845970 0.533230i \(-0.820978\pi\)
0.944350 + 0.328943i \(0.106692\pi\)
\(678\) 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 0.465957 0.884808i \(-0.345710\pi\)
0.0359089 + 0.999355i \(0.488567\pi\)
\(684\) 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 0.596056 + 0.802943i \(0.296733\pi\)
−0.885412 + 0.464807i \(0.846124\pi\)
\(692\) −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 0.910681 0.413111i \(-0.135558\pi\)
0.244817 + 0.969569i \(0.421272\pi\)
\(702\) 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 −0.998918 0.0464979i \(-0.985194\pi\)
0.267612 + 0.963527i \(0.413765\pi\)
\(710\) −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 −0.993892 0.110358i \(-0.964800\pi\)
0.847583 0.530663i \(-0.178057\pi\)
\(720\) 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 −0.461976 0.886893i \(-0.652859\pi\)
0.801034 0.598619i \(-0.204284\pi\)
\(728\) 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 0.981640 + 0.190743i \(0.0610897\pi\)
−0.462914 + 0.886403i \(0.653196\pi\)
\(734\) 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 0.342137 0.939650i \(-0.388849\pi\)
−0.839958 + 0.542651i \(0.817421\pi\)
\(740\) −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 −0.539977 0.841680i \(-0.681567\pi\)
−0.851694 + 0.524040i \(0.824424\pi\)
\(744\) −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 −0.0975102 0.995235i \(-0.531088\pi\)
0.343962 + 0.938983i \(0.388231\pi\)
\(752\) −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 −0.926032 0.377444i \(-0.876803\pi\)
0.574042 + 0.818826i \(0.305375\pi\)
\(758\) 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 0.708353 0.705858i \(-0.249439\pi\)
−0.530538 + 0.847661i \(0.678010\pi\)
\(762\) 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 −0.976799 0.214158i \(-0.931299\pi\)
0.776459 + 0.630167i \(0.217014\pi\)
\(770\) 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