Properties

Label 91.2.w.a.24.4
Level $91$
Weight $2$
Character 91.24
Analytic conductor $0.727$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 91 = 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 91.w (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.726638658394\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(7\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 24.4
Character \(\chi\) \(=\) 91.24
Dual form 91.2.w.a.19.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} +O(q^{10})\) \(q+(0.263976 - 0.0707322i) q^{2} +2.50625i q^{3} +(-1.66737 + 0.962657i) q^{4} +(-1.43012 - 0.383199i) q^{5} +(0.177273 + 0.661591i) q^{6} +(2.63370 + 0.252224i) q^{7} +(-0.758543 + 0.758543i) q^{8} -3.28130 q^{9} -0.404621 q^{10} +(3.24588 - 3.24588i) q^{11} +(-2.41266 - 4.17885i) q^{12} +(2.80779 + 2.26193i) q^{13} +(0.713075 - 0.119706i) q^{14} +(0.960393 - 3.58423i) q^{15} +(1.77873 - 3.08085i) q^{16} +(1.17081 + 2.02791i) q^{17} +(-0.866185 + 0.232094i) q^{18} +(-1.19817 + 1.19817i) q^{19} +(2.75342 - 0.737778i) q^{20} +(-0.632136 + 6.60072i) q^{21} +(0.627247 - 1.08642i) q^{22} +(-4.15065 - 2.39638i) q^{23} +(-1.90110 - 1.90110i) q^{24} +(-2.43173 - 1.40396i) q^{25} +(0.901181 + 0.398494i) q^{26} -0.705008i q^{27} +(-4.63416 + 2.11480i) q^{28} +(-2.87534 - 4.98024i) q^{29} -1.01408i q^{30} +(-1.52668 - 5.69764i) q^{31} +(0.806919 - 3.01146i) q^{32} +(8.13500 + 8.13500i) q^{33} +(0.452505 + 0.452505i) q^{34} +(-3.66985 - 1.36994i) q^{35} +(5.47114 - 3.15877i) q^{36} +(2.20859 + 8.24256i) q^{37} +(-0.231540 + 0.401038i) q^{38} +(-5.66896 + 7.03703i) q^{39} +(1.37548 - 0.794133i) q^{40} +(0.829479 + 0.222258i) q^{41} +(0.300015 + 1.78715i) q^{42} +(1.70069 + 0.981895i) q^{43} +(-2.28742 + 8.53676i) q^{44} +(4.69264 + 1.25739i) q^{45} +(-1.26518 - 0.339003i) q^{46} +(2.07859 - 7.75739i) q^{47} +(7.72139 + 4.45794i) q^{48} +(6.87277 + 1.32856i) q^{49} +(-0.741225 - 0.198611i) q^{50} +(-5.08245 + 2.93435i) q^{51} +(-6.85909 - 1.06853i) q^{52} +(6.54133 - 11.3299i) q^{53} +(-0.0498668 - 0.186105i) q^{54} +(-5.88581 + 3.39817i) q^{55} +(-2.18910 + 1.80645i) q^{56} +(-3.00292 - 3.00292i) q^{57} +(-1.11129 - 1.11129i) q^{58} +(-0.400951 + 1.49637i) q^{59} +(1.84906 + 6.90078i) q^{60} +9.76025i q^{61} +(-0.806013 - 1.39606i) q^{62} +(-8.64196 - 0.827621i) q^{63} +6.26289i q^{64} +(-3.14870 - 4.31076i) q^{65} +(2.72285 + 1.57204i) q^{66} +(-0.385736 - 0.385736i) q^{67} +(-3.90436 - 2.25418i) q^{68} +(6.00594 - 10.4026i) q^{69} +(-1.06565 - 0.102055i) q^{70} +(1.77061 - 0.474435i) q^{71} +(2.48901 - 2.48901i) q^{72} +(-2.28234 + 0.611552i) q^{73} +(1.16603 + 2.01962i) q^{74} +(3.51868 - 6.09453i) q^{75} +(0.844368 - 3.15123i) q^{76} +(9.36737 - 7.72999i) q^{77} +(-0.998725 + 2.25859i) q^{78} +(-2.13339 - 3.69514i) q^{79} +(-3.72437 + 3.72437i) q^{80} -8.07697 q^{81} +0.234683 q^{82} +(-3.88518 + 3.88518i) q^{83} +(-5.30022 - 11.6144i) q^{84} +(-0.897309 - 3.34880i) q^{85} +(0.518394 + 0.138903i) q^{86} +(12.4817 - 7.20634i) q^{87} +4.92428i q^{88} +(-13.5517 + 3.63117i) q^{89} +1.32768 q^{90} +(6.82437 + 6.66543i) q^{91} +9.22757 q^{92} +(14.2797 - 3.82624i) q^{93} -2.19479i q^{94} +(2.17267 - 1.25439i) q^{95} +(7.54749 + 2.02234i) q^{96} +(-0.734114 - 2.73975i) q^{97} +(1.90822 - 0.135417i) q^{98} +(-10.6507 + 10.6507i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} + O(q^{10}) \) \( 28 q - 2 q^{2} - 6 q^{4} - 6 q^{5} + 12 q^{6} + 2 q^{7} - 4 q^{8} - 12 q^{9} - 12 q^{10} + 2 q^{11} + 8 q^{12} - 20 q^{14} + 10 q^{15} - 2 q^{16} - 6 q^{17} - 4 q^{18} - 8 q^{19} - 36 q^{20} - 2 q^{21} - 8 q^{22} - 6 q^{23} + 12 q^{24} + 24 q^{26} - 18 q^{28} - 8 q^{29} - 38 q^{31} - 20 q^{32} + 18 q^{33} + 12 q^{34} - 2 q^{35} + 54 q^{36} - 16 q^{37} + 28 q^{39} + 48 q^{40} + 18 q^{41} - 4 q^{42} + 48 q^{43} - 6 q^{44} + 12 q^{45} + 18 q^{46} - 42 q^{47} + 12 q^{48} + 8 q^{49} + 10 q^{50} + 12 q^{51} - 28 q^{52} + 12 q^{53} - 30 q^{54} - 6 q^{55} - 24 q^{56} + 12 q^{57} + 62 q^{58} - 6 q^{59} + 16 q^{60} - 36 q^{62} - 38 q^{63} - 2 q^{65} + 66 q^{66} - 4 q^{67} + 30 q^{68} + 42 q^{69} + 68 q^{70} - 42 q^{71} - 38 q^{72} + 14 q^{73} - 6 q^{74} - 20 q^{75} + 52 q^{76} - 62 q^{78} + 4 q^{79} + 12 q^{80} + 12 q^{81} - 108 q^{82} - 66 q^{83} - 56 q^{84} - 54 q^{85} - 30 q^{86} + 42 q^{87} - 30 q^{89} - 72 q^{90} - 42 q^{91} - 156 q^{92} + 14 q^{93} - 6 q^{95} + 18 q^{96} + 62 q^{97} + 112 q^{98} - 36 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).

\(n\) \(15\) \(66\)
\(\chi(n)\) \(e\left(\frac{7}{12}\right)\) \(e\left(\frac{1}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.263976 0.0707322i 0.186659 0.0500152i −0.164278 0.986414i \(-0.552530\pi\)
0.350938 + 0.936399i \(0.385863\pi\)
\(3\) 2.50625i 1.44699i 0.690332 + 0.723493i \(0.257464\pi\)
−0.690332 + 0.723493i \(0.742536\pi\)
\(4\) −1.66737 + 0.962657i −0.833685 + 0.481328i
\(5\) −1.43012 0.383199i −0.639568 0.171372i −0.0755602 0.997141i \(-0.524075\pi\)
−0.564008 + 0.825770i \(0.690741\pi\)
\(6\) 0.177273 + 0.661591i 0.0723713 + 0.270093i
\(7\) 2.63370 + 0.252224i 0.995446 + 0.0953316i
\(8\) −0.758543 + 0.758543i −0.268186 + 0.268186i
\(9\) −3.28130 −1.09377
\(10\) −0.404621 −0.127953
\(11\) 3.24588 3.24588i 0.978670 0.978670i −0.0211071 0.999777i \(-0.506719\pi\)
0.999777 + 0.0211071i \(0.00671910\pi\)
\(12\) −2.41266 4.17885i −0.696475 1.20633i
\(13\) 2.80779 + 2.26193i 0.778741 + 0.627346i
\(14\) 0.713075 0.119706i 0.190577 0.0319929i
\(15\) 0.960393 3.58423i 0.247972 0.925445i
\(16\) 1.77873 3.08085i 0.444682 0.770213i
\(17\) 1.17081 + 2.02791i 0.283964 + 0.491840i 0.972357 0.233497i \(-0.0750171\pi\)
−0.688393 + 0.725337i \(0.741684\pi\)
\(18\) −0.866185 + 0.232094i −0.204162 + 0.0547050i
\(19\) −1.19817 + 1.19817i −0.274880 + 0.274880i −0.831061 0.556181i \(-0.812266\pi\)
0.556181 + 0.831061i \(0.312266\pi\)
\(20\) 2.75342 0.737778i 0.615684 0.164972i
\(21\) −0.632136 + 6.60072i −0.137943 + 1.44040i
\(22\) 0.627247 1.08642i 0.133730 0.231626i
\(23\) −4.15065 2.39638i −0.865471 0.499680i 0.000369324 1.00000i \(-0.499882\pi\)
−0.865841 + 0.500320i \(0.833216\pi\)
\(24\) −1.90110 1.90110i −0.388061 0.388061i
\(25\) −2.43173 1.40396i −0.486347 0.280792i
\(26\) 0.901181 + 0.398494i 0.176736 + 0.0781510i
\(27\) 0.705008i 0.135679i
\(28\) −4.63416 + 2.11480i −0.875774 + 0.399660i
\(29\) −2.87534 4.98024i −0.533938 0.924808i −0.999214 0.0396419i \(-0.987378\pi\)
0.465276 0.885166i \(-0.345955\pi\)
\(30\) 1.01408i 0.185145i
\(31\) −1.52668 5.69764i −0.274199 1.02333i −0.956376 0.292139i \(-0.905633\pi\)
0.682177 0.731187i \(-0.261033\pi\)
\(32\) 0.806919 3.01146i 0.142644 0.532356i
\(33\) 8.13500 + 8.13500i 1.41612 + 1.41612i
\(34\) 0.452505 + 0.452505i 0.0776040 + 0.0776040i
\(35\) −3.66985 1.36994i −0.620318 0.231562i
\(36\) 5.47114 3.15877i 0.911857 0.526461i
\(37\) 2.20859 + 8.24256i 0.363090 + 1.35507i 0.869992 + 0.493066i \(0.164124\pi\)
−0.506902 + 0.862003i \(0.669210\pi\)
\(38\) −0.231540 + 0.401038i −0.0375607 + 0.0650570i
\(39\) −5.66896 + 7.03703i −0.907760 + 1.12683i
\(40\) 1.37548 0.794133i 0.217482 0.125563i
\(41\) 0.829479 + 0.222258i 0.129543 + 0.0347109i 0.323008 0.946396i \(-0.395306\pi\)
−0.193465 + 0.981107i \(0.561973\pi\)
\(42\) 0.300015 + 1.78715i 0.0462933 + 0.275762i
\(43\) 1.70069 + 0.981895i 0.259353 + 0.149738i 0.624039 0.781393i \(-0.285490\pi\)
−0.364686 + 0.931130i \(0.618824\pi\)
\(44\) −2.28742 + 8.53676i −0.344841 + 1.28696i
\(45\) 4.69264 + 1.25739i 0.699538 + 0.187441i
\(46\) −1.26518 0.339003i −0.186540 0.0499832i
\(47\) 2.07859 7.75739i 0.303193 1.13153i −0.631297 0.775542i \(-0.717477\pi\)
0.934490 0.355990i \(-0.115856\pi\)
\(48\) 7.72139 + 4.45794i 1.11449 + 0.643449i
\(49\) 6.87277 + 1.32856i 0.981824 + 0.189795i
\(50\) −0.741225 0.198611i −0.104825 0.0280878i
\(51\) −5.08245 + 2.93435i −0.711685 + 0.410892i
\(52\) −6.85909 1.06853i −0.951184 0.148179i
\(53\) 6.54133 11.3299i 0.898521 1.55628i 0.0691354 0.997607i \(-0.477976\pi\)
0.829386 0.558677i \(-0.188691\pi\)
\(54\) −0.0498668 0.186105i −0.00678601 0.0253257i
\(55\) −5.88581 + 3.39817i −0.793642 + 0.458210i
\(56\) −2.18910 + 1.80645i −0.292531 + 0.241398i
\(57\) −3.00292 3.00292i −0.397747 0.397747i
\(58\) −1.11129 1.11129i −0.145919 0.145919i
\(59\) −0.400951 + 1.49637i −0.0521994 + 0.194811i −0.987102 0.160094i \(-0.948820\pi\)
0.934902 + 0.354905i \(0.115487\pi\)
\(60\) 1.84906 + 6.90078i 0.238712 + 0.890886i
\(61\) 9.76025i 1.24967i 0.780756 + 0.624836i \(0.214834\pi\)
−0.780756 + 0.624836i \(0.785166\pi\)
\(62\) −0.806013 1.39606i −0.102364 0.177299i
\(63\) −8.64196 0.827621i −1.08879 0.104270i
\(64\) 6.26289i 0.782861i
\(65\) −3.14870 4.31076i −0.390548 0.534684i
\(66\) 2.72285 + 1.57204i 0.335160 + 0.193505i
\(67\) −0.385736 0.385736i −0.0471252 0.0471252i 0.683152 0.730277i \(-0.260609\pi\)
−0.730277 + 0.683152i \(0.760609\pi\)
\(68\) −3.90436 2.25418i −0.473473 0.273360i
\(69\) 6.00594 10.4026i 0.723030 1.25232i
\(70\) −1.06565 0.102055i −0.127370 0.0121979i
\(71\) 1.77061 0.474435i 0.210133 0.0563050i −0.152217 0.988347i \(-0.548641\pi\)
0.362350 + 0.932042i \(0.381975\pi\)
\(72\) 2.48901 2.48901i 0.293332 0.293332i
\(73\) −2.28234 + 0.611552i −0.267128 + 0.0715768i −0.389897 0.920859i \(-0.627489\pi\)
0.122769 + 0.992435i \(0.460823\pi\)
\(74\) 1.16603 + 2.01962i 0.135548 + 0.234776i
\(75\) 3.51868 6.09453i 0.406302 0.703736i
\(76\) 0.844368 3.15123i 0.0968557 0.361470i
\(77\) 9.36737 7.72999i 1.06751 0.880915i
\(78\) −0.998725 + 2.25859i −0.113083 + 0.255735i
\(79\) −2.13339 3.69514i −0.240025 0.415736i 0.720696 0.693251i \(-0.243822\pi\)
−0.960721 + 0.277516i \(0.910489\pi\)
\(80\) −3.72437 + 3.72437i −0.416397 + 0.416397i
\(81\) −8.07697 −0.897441
\(82\) 0.234683 0.0259165
\(83\) −3.88518 + 3.88518i −0.426454 + 0.426454i −0.887419 0.460965i \(-0.847504\pi\)
0.460965 + 0.887419i \(0.347504\pi\)
\(84\) −5.30022 11.6144i −0.578302 1.26723i
\(85\) −0.897309 3.34880i −0.0973268 0.363228i
\(86\) 0.518394 + 0.138903i 0.0558998 + 0.0149783i
\(87\) 12.4817 7.20634i 1.33818 0.772600i
\(88\) 4.92428i 0.524930i
\(89\) −13.5517 + 3.63117i −1.43648 + 0.384904i −0.891299 0.453415i \(-0.850205\pi\)
−0.545180 + 0.838319i \(0.683539\pi\)
\(90\) 1.32768 0.139950
\(91\) 6.82437 + 6.66543i 0.715388 + 0.698727i
\(92\) 9.22757 0.962041
\(93\) 14.2797 3.82624i 1.48074 0.396762i
\(94\) 2.19479i 0.226375i
\(95\) 2.17267 1.25439i 0.222911 0.128698i
\(96\) 7.54749 + 2.02234i 0.770312 + 0.206404i
\(97\) −0.734114 2.73975i −0.0745380 0.278180i 0.918590 0.395212i \(-0.129329\pi\)
−0.993128 + 0.117032i \(0.962662\pi\)
\(98\) 1.90822 0.135417i 0.192759 0.0136792i
\(99\) −10.6507 + 10.6507i −1.07044 + 1.07044i
\(100\) 5.40613 0.540613
\(101\) −10.6403 −1.05875 −0.529374 0.848388i \(-0.677573\pi\)
−0.529374 + 0.848388i \(0.677573\pi\)
\(102\) −1.13409 + 1.13409i −0.112292 + 0.112292i
\(103\) −8.60773 14.9090i −0.848145 1.46903i −0.882862 0.469633i \(-0.844386\pi\)
0.0347173 0.999397i \(-0.488947\pi\)
\(104\) −3.84560 + 0.414061i −0.377092 + 0.0406020i
\(105\) 3.43342 9.19757i 0.335067 0.897591i
\(106\) 0.925366 3.45351i 0.0898794 0.335435i
\(107\) 2.02845 3.51338i 0.196097 0.339651i −0.751162 0.660118i \(-0.770506\pi\)
0.947260 + 0.320467i \(0.103840\pi\)
\(108\) 0.678681 + 1.17551i 0.0653061 + 0.113113i
\(109\) 7.65154 2.05022i 0.732885 0.196376i 0.126971 0.991906i \(-0.459474\pi\)
0.605914 + 0.795531i \(0.292808\pi\)
\(110\) −1.31335 + 1.31335i −0.125223 + 0.125223i
\(111\) −20.6579 + 5.53528i −1.96077 + 0.525385i
\(112\) 5.46171 7.66540i 0.516083 0.724312i
\(113\) −9.23138 + 15.9892i −0.868415 + 1.50414i −0.00479920 + 0.999988i \(0.501528\pi\)
−0.863616 + 0.504150i \(0.831806\pi\)
\(114\) −1.00510 0.580297i −0.0941365 0.0543497i
\(115\) 5.01763 + 5.01763i 0.467897 + 0.467897i
\(116\) 9.58853 + 5.53594i 0.890272 + 0.513999i
\(117\) −9.21320 7.42206i −0.851761 0.686170i
\(118\) 0.423366i 0.0389740i
\(119\) 2.57209 + 5.63621i 0.235783 + 0.516671i
\(120\) 1.99030 + 3.44730i 0.181688 + 0.314694i
\(121\) 10.0715i 0.915590i
\(122\) 0.690364 + 2.57647i 0.0625026 + 0.233263i
\(123\) −0.557035 + 2.07888i −0.0502262 + 0.187447i
\(124\) 8.03041 + 8.03041i 0.721152 + 0.721152i
\(125\) 8.17426 + 8.17426i 0.731128 + 0.731128i
\(126\) −2.33981 + 0.392793i −0.208447 + 0.0349928i
\(127\) −2.52084 + 1.45541i −0.223689 + 0.129147i −0.607657 0.794200i \(-0.707890\pi\)
0.383968 + 0.923346i \(0.374557\pi\)
\(128\) 2.05683 + 7.67618i 0.181799 + 0.678485i
\(129\) −2.46088 + 4.26236i −0.216668 + 0.375280i
\(130\) −1.13609 0.915224i −0.0996419 0.0802705i
\(131\) −8.58252 + 4.95512i −0.749858 + 0.432931i −0.825643 0.564194i \(-0.809187\pi\)
0.0757847 + 0.997124i \(0.475854\pi\)
\(132\) −21.3953 5.73284i −1.86222 0.498980i
\(133\) −3.45784 + 2.85342i −0.299832 + 0.247423i
\(134\) −0.129109 0.0745412i −0.0111533 0.00643938i
\(135\) −0.270158 + 1.00824i −0.0232515 + 0.0867758i
\(136\) −2.42637 0.650144i −0.208059 0.0557493i
\(137\) 0.526114 + 0.140972i 0.0449489 + 0.0120440i 0.281223 0.959642i \(-0.409260\pi\)
−0.236275 + 0.971686i \(0.575926\pi\)
\(138\) 0.849626 3.17085i 0.0723250 0.269921i
\(139\) −3.32499 1.91968i −0.282022 0.162825i 0.352317 0.935881i \(-0.385394\pi\)
−0.634338 + 0.773056i \(0.718727\pi\)
\(140\) 7.43778 1.24861i 0.628607 0.105527i
\(141\) 19.4420 + 5.20946i 1.63731 + 0.438716i
\(142\) 0.433842 0.250479i 0.0364072 0.0210197i
\(143\) 16.4557 1.77181i 1.37609 0.148166i
\(144\) −5.83654 + 10.1092i −0.486379 + 0.842433i
\(145\) 2.20366 + 8.22416i 0.183004 + 0.682979i
\(146\) −0.559228 + 0.322870i −0.0462820 + 0.0267210i
\(147\) −3.32972 + 17.2249i −0.274630 + 1.42068i
\(148\) −11.6173 11.6173i −0.954936 0.954936i
\(149\) 16.5393 + 16.5393i 1.35495 + 1.35495i 0.880029 + 0.474919i \(0.157523\pi\)
0.474919 + 0.880029i \(0.342477\pi\)
\(150\) 0.497768 1.85770i 0.0406426 0.151680i
\(151\) −1.70623 6.36774i −0.138851 0.518200i −0.999952 0.00976596i \(-0.996891\pi\)
0.861101 0.508434i \(-0.169775\pi\)
\(152\) 1.81773i 0.147437i
\(153\) −3.84179 6.65417i −0.310590 0.537958i
\(154\) 1.92600 2.70311i 0.155202 0.217823i
\(155\) 8.73331i 0.701476i
\(156\) 2.67801 17.1906i 0.214412 1.37635i
\(157\) 9.49287 + 5.48071i 0.757613 + 0.437408i 0.828438 0.560081i \(-0.189230\pi\)
−0.0708249 + 0.997489i \(0.522563\pi\)
\(158\) −0.824529 0.824529i −0.0655960 0.0655960i
\(159\) 28.3956 + 16.3942i 2.25192 + 1.30015i
\(160\) −2.30798 + 3.99754i −0.182462 + 0.316033i
\(161\) −10.3272 7.35825i −0.813894 0.579911i
\(162\) −2.13213 + 0.571302i −0.167516 + 0.0448857i
\(163\) 2.73418 2.73418i 0.214157 0.214157i −0.591874 0.806031i \(-0.701612\pi\)
0.806031 + 0.591874i \(0.201612\pi\)
\(164\) −1.59701 + 0.427917i −0.124705 + 0.0334147i
\(165\) −8.51668 14.7513i −0.663023 1.14839i
\(166\) −0.750788 + 1.30040i −0.0582724 + 0.100931i
\(167\) 6.30900 23.5455i 0.488205 1.82201i −0.0769673 0.997034i \(-0.524524\pi\)
0.565172 0.824973i \(-0.308810\pi\)
\(168\) −4.52743 5.48643i −0.349299 0.423288i
\(169\) 2.76737 + 12.7020i 0.212875 + 0.977079i
\(170\) −0.473736 0.820535i −0.0363339 0.0629322i
\(171\) 3.93156 3.93156i 0.300654 0.300654i
\(172\) −3.78091 −0.288292
\(173\) −4.79982 −0.364924 −0.182462 0.983213i \(-0.558407\pi\)
−0.182462 + 0.983213i \(0.558407\pi\)
\(174\) 2.78516 2.78516i 0.211143 0.211143i
\(175\) −6.05035 4.31096i −0.457363 0.325878i
\(176\) −4.22653 15.7736i −0.318587 1.18898i
\(177\) −3.75028 1.00488i −0.281888 0.0755317i
\(178\) −3.32049 + 1.91709i −0.248881 + 0.143692i
\(179\) 11.1404i 0.832672i 0.909211 + 0.416336i \(0.136686\pi\)
−0.909211 + 0.416336i \(0.863314\pi\)
\(180\) −9.03481 + 2.42087i −0.673415 + 0.180441i
\(181\) −4.32449 −0.321437 −0.160718 0.987000i \(-0.551381\pi\)
−0.160718 + 0.987000i \(0.551381\pi\)
\(182\) 2.27293 + 1.27681i 0.168481 + 0.0946436i
\(183\) −24.4616 −1.80826
\(184\) 4.96621 1.33069i 0.366114 0.0980999i
\(185\) 12.6342i 0.928882i
\(186\) 3.49887 2.02007i 0.256549 0.148119i
\(187\) 10.3827 + 2.78203i 0.759256 + 0.203442i
\(188\) 4.00193 + 14.9354i 0.291871 + 1.08928i
\(189\) 0.177820 1.85678i 0.0129345 0.135061i
\(190\) 0.484806 0.484806i 0.0351715 0.0351715i
\(191\) −6.31947 −0.457261 −0.228630 0.973513i \(-0.573425\pi\)
−0.228630 + 0.973513i \(0.573425\pi\)
\(192\) −15.6964 −1.13279
\(193\) 8.42328 8.42328i 0.606321 0.606321i −0.335662 0.941983i \(-0.608960\pi\)
0.941983 + 0.335662i \(0.108960\pi\)
\(194\) −0.387577 0.671304i −0.0278264 0.0481968i
\(195\) 10.8039 7.89144i 0.773680 0.565118i
\(196\) −12.7384 + 4.40091i −0.909886 + 0.314351i
\(197\) −0.533499 + 1.99105i −0.0380103 + 0.141856i −0.982323 0.187192i \(-0.940061\pi\)
0.944313 + 0.329048i \(0.106728\pi\)
\(198\) −2.05819 + 3.56488i −0.146269 + 0.253345i
\(199\) −9.28142 16.0759i −0.657942 1.13959i −0.981147 0.193261i \(-0.938094\pi\)
0.323205 0.946329i \(-0.395240\pi\)
\(200\) 2.90954 0.779609i 0.205736 0.0551267i
\(201\) 0.966752 0.966752i 0.0681894 0.0681894i
\(202\) −2.80878 + 0.752611i −0.197625 + 0.0529536i
\(203\) −6.31666 13.8417i −0.443343 0.971497i
\(204\) 5.64955 9.78531i 0.395548 0.685109i
\(205\) −1.10108 0.635711i −0.0769030 0.0443999i
\(206\) −3.32678 3.32678i −0.231788 0.231788i
\(207\) 13.6195 + 7.86325i 0.946624 + 0.546533i
\(208\) 11.9630 4.62703i 0.829482 0.320826i
\(209\) 7.77825i 0.538033i
\(210\) 0.255776 2.67079i 0.0176502 0.184302i
\(211\) −1.40368 2.43124i −0.0966332 0.167374i 0.813656 0.581347i \(-0.197474\pi\)
−0.910289 + 0.413973i \(0.864141\pi\)
\(212\) 25.1882i 1.72993i
\(213\) 1.18905 + 4.43761i 0.0814726 + 0.304060i
\(214\) 0.286953 1.07092i 0.0196157 0.0732069i
\(215\) −2.05593 2.05593i −0.140213 0.140213i
\(216\) 0.534779 + 0.534779i 0.0363871 + 0.0363871i
\(217\) −2.58373 15.3909i −0.175395 1.04481i
\(218\) 1.87481 1.08242i 0.126978 0.0733108i
\(219\) −1.53270 5.72013i −0.103571 0.386531i
\(220\) 6.54255 11.3320i 0.441099 0.764005i
\(221\) −1.29958 + 8.34224i −0.0874193 + 0.561160i
\(222\) −5.06168 + 2.92236i −0.339718 + 0.196136i
\(223\) 15.6678 + 4.19816i 1.04919 + 0.281130i 0.741917 0.670491i \(-0.233917\pi\)
0.307274 + 0.951621i \(0.400583\pi\)
\(224\) 2.88475 7.72777i 0.192745 0.516333i
\(225\) 7.97924 + 4.60682i 0.531950 + 0.307121i
\(226\) −1.30591 + 4.87373i −0.0868679 + 0.324196i
\(227\) 1.69538 + 0.454277i 0.112527 + 0.0301514i 0.314643 0.949210i \(-0.398115\pi\)
−0.202116 + 0.979362i \(0.564782\pi\)
\(228\) 7.89777 + 2.11620i 0.523042 + 0.140149i
\(229\) 2.88434 10.7645i 0.190602 0.711338i −0.802759 0.596304i \(-0.796635\pi\)
0.993362 0.115034i \(-0.0366978\pi\)
\(230\) 1.67944 + 0.969627i 0.110739 + 0.0639353i
\(231\) 19.3733 + 23.4770i 1.27467 + 1.54467i
\(232\) 5.95880 + 1.59666i 0.391214 + 0.104826i
\(233\) −17.6370 + 10.1827i −1.15544 + 0.667091i −0.950206 0.311623i \(-0.899128\pi\)
−0.205230 + 0.978714i \(0.565794\pi\)
\(234\) −2.95704 1.30758i −0.193308 0.0854790i
\(235\) −5.94525 + 10.2975i −0.387825 + 0.671733i
\(236\) −0.771957 2.88098i −0.0502501 0.187536i
\(237\) 9.26095 5.34681i 0.601563 0.347313i
\(238\) 1.07763 + 1.30590i 0.0698525 + 0.0846487i
\(239\) 14.6160 + 14.6160i 0.945430 + 0.945430i 0.998586 0.0531558i \(-0.0169280\pi\)
−0.0531558 + 0.998586i \(0.516928\pi\)
\(240\) −9.33421 9.33421i −0.602521 0.602521i
\(241\) −3.69524 + 13.7908i −0.238031 + 0.888345i 0.738728 + 0.674004i \(0.235427\pi\)
−0.976759 + 0.214341i \(0.931240\pi\)
\(242\) −0.712379 2.65863i −0.0457935 0.170904i
\(243\) 22.3580i 1.43426i
\(244\) −9.39577 16.2740i −0.601503 1.04183i
\(245\) −9.31976 4.53364i −0.595418 0.289643i
\(246\) 0.588176i 0.0375007i
\(247\) −6.07439 + 0.654039i −0.386504 + 0.0416155i
\(248\) 5.47995 + 3.16385i 0.347977 + 0.200905i
\(249\) −9.73724 9.73724i −0.617073 0.617073i
\(250\) 2.73599 + 1.57963i 0.173039 + 0.0999043i
\(251\) 3.24540 5.62120i 0.204848 0.354807i −0.745236 0.666801i \(-0.767663\pi\)
0.950084 + 0.311993i \(0.100997\pi\)
\(252\) 15.2061 6.93929i 0.957892 0.437134i
\(253\) −21.2509 + 5.69416i −1.33603 + 0.357989i
\(254\) −0.562498 + 0.562498i −0.0352943 + 0.0352943i
\(255\) 8.39294 2.24888i 0.525586 0.140830i
\(256\) −5.17698 8.96680i −0.323561 0.560425i
\(257\) −11.0980 + 19.2224i −0.692277 + 1.19906i 0.278813 + 0.960345i \(0.410059\pi\)
−0.971090 + 0.238713i \(0.923274\pi\)
\(258\) −0.348126 + 1.29923i −0.0216734 + 0.0808862i
\(259\) 3.73779 + 22.2655i 0.232255 + 1.38351i
\(260\) 9.39984 + 4.15652i 0.582953 + 0.257776i
\(261\) 9.43486 + 16.3417i 0.584003 + 1.01152i
\(262\) −1.91509 + 1.91509i −0.118315 + 0.118315i
\(263\) 10.1064 0.623187 0.311594 0.950215i \(-0.399137\pi\)
0.311594 + 0.950215i \(0.399137\pi\)
\(264\) −12.3415 −0.759566
\(265\) −13.6965 + 13.6965i −0.841368 + 0.841368i
\(266\) −0.710957 + 0.997815i −0.0435916 + 0.0611800i
\(267\) −9.10063 33.9640i −0.556950 2.07857i
\(268\) 1.01450 + 0.271834i 0.0619702 + 0.0166049i
\(269\) −8.97049 + 5.17912i −0.546940 + 0.315776i −0.747887 0.663826i \(-0.768932\pi\)
0.200947 + 0.979602i \(0.435598\pi\)
\(270\) 0.285261i 0.0173604i
\(271\) −3.15801 + 0.846186i −0.191835 + 0.0514022i −0.353458 0.935451i \(-0.614994\pi\)
0.161622 + 0.986853i \(0.448327\pi\)
\(272\) 8.33024 0.505095
\(273\) −16.7053 + 17.1036i −1.01105 + 1.03516i
\(274\) 0.148853 0.00899252
\(275\) −12.4502 + 3.33602i −0.750776 + 0.201170i
\(276\) 23.1266i 1.39206i
\(277\) −14.4303 + 8.33132i −0.867030 + 0.500580i −0.866360 0.499420i \(-0.833547\pi\)
−0.000670170 1.00000i \(0.500213\pi\)
\(278\) −1.01350 0.271567i −0.0607857 0.0162875i
\(279\) 5.00949 + 18.6957i 0.299910 + 1.11928i
\(280\) 3.82290 1.74458i 0.228462 0.104259i
\(281\) 8.02095 8.02095i 0.478490 0.478490i −0.426159 0.904648i \(-0.640134\pi\)
0.904648 + 0.426159i \(0.140134\pi\)
\(282\) 5.50070 0.327562
\(283\) 14.4404 0.858390 0.429195 0.903212i \(-0.358797\pi\)
0.429195 + 0.903212i \(0.358797\pi\)
\(284\) −2.49555 + 2.49555i −0.148084 + 0.148084i
\(285\) 3.14381 + 5.44525i 0.186223 + 0.322549i
\(286\) 4.21859 1.63166i 0.249450 0.0964823i
\(287\) 2.12854 + 0.794576i 0.125644 + 0.0469023i
\(288\) −2.64774 + 9.88151i −0.156020 + 0.582274i
\(289\) 5.75839 9.97383i 0.338729 0.586696i
\(290\) 1.16343 + 2.01511i 0.0683187 + 0.118331i
\(291\) 6.86651 1.83988i 0.402522 0.107855i
\(292\) 3.21680 3.21680i 0.188249 0.188249i
\(293\) −15.9091 + 4.26283i −0.929420 + 0.249037i −0.691607 0.722274i \(-0.743097\pi\)
−0.237812 + 0.971311i \(0.576430\pi\)
\(294\) 0.339389 + 4.78248i 0.0197935 + 0.278920i
\(295\) 1.14681 1.98634i 0.0667701 0.115649i
\(296\) −7.92765 4.57703i −0.460785 0.266035i
\(297\) −2.28837 2.28837i −0.132785 0.132785i
\(298\) 5.53583 + 3.19611i 0.320682 + 0.185146i
\(299\) −6.23373 16.1170i −0.360506 0.932071i
\(300\) 13.5491i 0.782259i
\(301\) 4.23146 + 3.01497i 0.243897 + 0.173780i
\(302\) −0.900809 1.56025i −0.0518357 0.0897821i
\(303\) 26.6673i 1.53199i
\(304\) 1.56016 + 5.82261i 0.0894816 + 0.333950i
\(305\) 3.74012 13.9583i 0.214158 0.799250i
\(306\) −1.48481 1.48481i −0.0848807 0.0848807i
\(307\) 8.27574 + 8.27574i 0.472322 + 0.472322i 0.902665 0.430344i \(-0.141608\pi\)
−0.430344 + 0.902665i \(0.641608\pi\)
\(308\) −8.17755 + 21.9063i −0.465959 + 1.24823i
\(309\) 37.3658 21.5731i 2.12566 1.22725i
\(310\) 0.617726 + 2.30539i 0.0350845 + 0.130937i
\(311\) −6.45124 + 11.1739i −0.365816 + 0.633612i −0.988907 0.148538i \(-0.952543\pi\)
0.623091 + 0.782150i \(0.285877\pi\)
\(312\) −1.03774 9.63804i −0.0587506 0.545647i
\(313\) 5.16307 2.98090i 0.291834 0.168490i −0.346935 0.937889i \(-0.612777\pi\)
0.638769 + 0.769399i \(0.279444\pi\)
\(314\) 2.89355 + 0.775325i 0.163293 + 0.0437541i
\(315\) 12.0419 + 4.49519i 0.678483 + 0.253275i
\(316\) 7.11430 + 4.10744i 0.400211 + 0.231062i
\(317\) 3.34843 12.4965i 0.188066 0.701873i −0.805887 0.592070i \(-0.798311\pi\)
0.993953 0.109804i \(-0.0350223\pi\)
\(318\) 8.65537 + 2.31920i 0.485369 + 0.130054i
\(319\) −25.4983 6.83225i −1.42763 0.382532i
\(320\) 2.39993 8.95667i 0.134160 0.500693i
\(321\) 8.80540 + 5.08380i 0.491470 + 0.283750i
\(322\) −3.24659 1.21194i −0.180925 0.0675387i
\(323\) −3.83262 1.02695i −0.213253 0.0571409i
\(324\) 13.4673 7.77535i 0.748184 0.431964i
\(325\) −3.65214 9.44243i −0.202584 0.523772i
\(326\) 0.528363 0.915152i 0.0292633 0.0506856i
\(327\) 5.13838 + 19.1767i 0.284153 + 1.06047i
\(328\) −0.797788 + 0.460603i −0.0440505 + 0.0254325i
\(329\) 7.43097 19.9064i 0.409683 1.09747i
\(330\) −3.29159 3.29159i −0.181196 0.181196i
\(331\) −7.06614 7.06614i −0.388390 0.388390i 0.485723 0.874113i \(-0.338556\pi\)
−0.874113 + 0.485723i \(0.838556\pi\)
\(332\) 2.73794 10.2181i 0.150264 0.560793i
\(333\) −7.24704 27.0463i −0.397135 1.48213i
\(334\) 6.66170i 0.364512i
\(335\) 0.403834 + 0.699462i 0.0220638 + 0.0382157i
\(336\) 19.2114 + 13.6884i 1.04807 + 0.746764i
\(337\) 17.5327i 0.955069i −0.878613 0.477534i \(-0.841531\pi\)
0.878613 0.477534i \(-0.158469\pi\)
\(338\) 1.62896 + 3.15729i 0.0886039 + 0.171734i
\(339\) −40.0730 23.1362i −2.17647 1.25658i
\(340\) 4.71989 + 4.71989i 0.255972 + 0.255972i
\(341\) −23.4493 13.5384i −1.26985 0.733148i
\(342\) 0.759751 1.31593i 0.0410826 0.0711572i
\(343\) 17.7657 + 5.23251i 0.959259 + 0.282529i
\(344\) −2.03486 + 0.545238i −0.109712 + 0.0293973i
\(345\) −12.5755 + 12.5755i −0.677040 + 0.677040i
\(346\) −1.26704 + 0.339502i −0.0681164 + 0.0182517i
\(347\) 13.1271 + 22.7368i 0.704700 + 1.22058i 0.966800 + 0.255535i \(0.0822516\pi\)
−0.262100 + 0.965041i \(0.584415\pi\)
\(348\) −13.8745 + 24.0313i −0.743749 + 1.28821i
\(349\) −2.90133 + 10.8279i −0.155304 + 0.579604i 0.843775 + 0.536698i \(0.180328\pi\)
−0.999079 + 0.0429064i \(0.986338\pi\)
\(350\) −1.90207 0.710035i −0.101670 0.0379530i
\(351\) 1.59468 1.97951i 0.0851175 0.105659i
\(352\) −7.15569 12.3940i −0.381399 0.660603i
\(353\) −4.95246 + 4.95246i −0.263593 + 0.263593i −0.826512 0.562919i \(-0.809678\pi\)
0.562919 + 0.826512i \(0.309678\pi\)
\(354\) −1.06106 −0.0563948
\(355\) −2.71399 −0.144044
\(356\) 19.1002 19.1002i 1.01231 1.01231i
\(357\) −14.1258 + 6.44630i −0.747615 + 0.341174i
\(358\) 0.787984 + 2.94080i 0.0416463 + 0.155426i
\(359\) −4.93737 1.32297i −0.260585 0.0698234i 0.126161 0.992010i \(-0.459734\pi\)
−0.386746 + 0.922186i \(0.626401\pi\)
\(360\) −4.51336 + 2.60579i −0.237875 + 0.137337i
\(361\) 16.1288i 0.848882i
\(362\) −1.14156 + 0.305881i −0.0599992 + 0.0160767i
\(363\) 25.2417 1.32485
\(364\) −17.7953 4.54422i −0.932726 0.238182i
\(365\) 3.49837 0.183113
\(366\) −6.45729 + 1.73023i −0.337528 + 0.0904404i
\(367\) 18.3774i 0.959291i 0.877462 + 0.479645i \(0.159235\pi\)
−0.877462 + 0.479645i \(0.840765\pi\)
\(368\) −14.7658 + 8.52503i −0.769720 + 0.444398i
\(369\) −2.72177 0.729296i −0.141690 0.0379656i
\(370\) −0.893642 3.33512i −0.0464582 0.173385i
\(371\) 20.0856 28.1897i 1.04279 1.46354i
\(372\) −20.1262 + 20.1262i −1.04350 + 1.04350i
\(373\) 20.8520 1.07967 0.539837 0.841770i \(-0.318486\pi\)
0.539837 + 0.841770i \(0.318486\pi\)
\(374\) 2.93756 0.151897
\(375\) −20.4868 + 20.4868i −1.05793 + 1.05793i
\(376\) 4.30762 + 7.46101i 0.222148 + 0.384772i
\(377\) 3.19158 20.4873i 0.164375 1.05515i
\(378\) −0.0843940 0.502723i −0.00434076 0.0258573i
\(379\) 7.22021 26.9462i 0.370877 1.38413i −0.488399 0.872620i \(-0.662419\pi\)
0.859276 0.511512i \(-0.170914\pi\)
\(380\) −2.41509 + 4.18306i −0.123892 + 0.214587i
\(381\) −3.64762 6.31787i −0.186873 0.323674i
\(382\) −1.66819 + 0.446990i −0.0853520 + 0.0228700i
\(383\) 17.3797 17.3797i 0.888063 0.888063i −0.106274 0.994337i \(-0.533892\pi\)
0.994337 + 0.106274i \(0.0338921\pi\)
\(384\) −19.2384 + 5.15492i −0.981758 + 0.263061i
\(385\) −16.3586 + 7.46523i −0.833710 + 0.380464i
\(386\) 1.62775 2.81934i 0.0828502 0.143501i
\(387\) −5.58048 3.22189i −0.283672 0.163778i
\(388\) 3.86148 + 3.86148i 0.196037 + 0.196037i
\(389\) −21.2079 12.2444i −1.07528 0.620815i −0.145663 0.989334i \(-0.546532\pi\)
−0.929620 + 0.368519i \(0.879865\pi\)
\(390\) 2.29378 2.84733i 0.116150 0.144180i
\(391\) 11.2229i 0.567565i
\(392\) −6.22106 + 4.20552i −0.314211 + 0.212411i
\(393\) −12.4188 21.5099i −0.626444 1.08503i
\(394\) 0.563325i 0.0283799i
\(395\) 1.63502 + 6.10199i 0.0822670 + 0.307025i
\(396\) 7.50570 28.0117i 0.377176 1.40764i
\(397\) 13.6915 + 13.6915i 0.687155 + 0.687155i 0.961602 0.274448i \(-0.0884950\pi\)
−0.274448 + 0.961602i \(0.588495\pi\)
\(398\) −3.58716 3.58716i −0.179808 0.179808i
\(399\) −7.15139 8.66621i −0.358017 0.433853i
\(400\) −8.65079 + 4.99454i −0.432539 + 0.249727i
\(401\) −3.42360 12.7770i −0.170966 0.638055i −0.997204 0.0747328i \(-0.976190\pi\)
0.826237 0.563322i \(-0.190477\pi\)
\(402\) 0.186819 0.323580i 0.00931768 0.0161387i
\(403\) 8.60105 19.4510i 0.428449 0.968924i
\(404\) 17.7413 10.2430i 0.882663 0.509606i
\(405\) 11.5510 + 3.09509i 0.573975 + 0.153796i
\(406\) −2.64650 3.20709i −0.131344 0.159165i
\(407\) 33.9232 + 19.5856i 1.68151 + 0.970821i
\(408\) 1.62942 6.08109i 0.0806685 0.301059i
\(409\) 24.0538 + 6.44521i 1.18939 + 0.318695i 0.798643 0.601805i \(-0.205551\pi\)
0.390743 + 0.920500i \(0.372218\pi\)
\(410\) −0.335625 0.0899304i −0.0165753 0.00444135i
\(411\) −0.353311 + 1.31857i −0.0174275 + 0.0650405i
\(412\) 28.7045 + 16.5726i 1.41417 + 0.816472i
\(413\) −1.43341 + 3.83986i −0.0705333 + 0.188947i
\(414\) 4.15142 + 1.11237i 0.204031 + 0.0546700i
\(415\) 7.04506 4.06747i 0.345828 0.199664i
\(416\) 9.07737 6.63037i 0.445055 0.325080i
\(417\) 4.81121 8.33325i 0.235606 0.408081i
\(418\) 0.550173 + 2.05327i 0.0269098 + 0.100429i
\(419\) −13.9899 + 8.07708i −0.683452 + 0.394591i −0.801154 0.598458i \(-0.795780\pi\)
0.117703 + 0.993049i \(0.462447\pi\)
\(420\) 3.12933 + 18.6410i 0.152695 + 0.909586i
\(421\) −12.8050 12.8050i −0.624080 0.624080i 0.322492 0.946572i \(-0.395479\pi\)
−0.946572 + 0.322492i \(0.895479\pi\)
\(422\) −0.542505 0.542505i −0.0264087 0.0264087i
\(423\) −6.82047 + 25.4543i −0.331622 + 1.23763i
\(424\) 3.63235 + 13.5561i 0.176403 + 0.658343i
\(425\) 6.57511i 0.318940i
\(426\) 0.627763 + 1.08732i 0.0304152 + 0.0526807i
\(427\) −2.46177 + 25.7056i −0.119133 + 1.24398i
\(428\) 7.81080i 0.377549i
\(429\) 4.44060 + 41.2421i 0.214394 + 1.99119i
\(430\) −0.688136 0.397296i −0.0331849 0.0191593i
\(431\) 15.8111 + 15.8111i 0.761594 + 0.761594i 0.976611 0.215016i \(-0.0689804\pi\)
−0.215016 + 0.976611i \(0.568980\pi\)
\(432\) −2.17202 1.25402i −0.104502 0.0603340i
\(433\) 9.21467 15.9603i 0.442829 0.767002i −0.555069 0.831804i \(-0.687308\pi\)
0.997898 + 0.0648019i \(0.0206415\pi\)
\(434\) −1.77068 3.88009i −0.0849953 0.186250i
\(435\) −20.6118 + 5.52292i −0.988261 + 0.264804i
\(436\) −10.7843 + 10.7843i −0.516474 + 0.516474i
\(437\) 7.84448 2.10192i 0.375252 0.100549i
\(438\) −0.809195 1.40157i −0.0386648 0.0669694i
\(439\) −7.79998 + 13.5100i −0.372273 + 0.644795i −0.989915 0.141664i \(-0.954755\pi\)
0.617642 + 0.786459i \(0.288088\pi\)
\(440\) 1.88698 7.04230i 0.0899582 0.335729i
\(441\) −22.5516 4.35942i −1.07389 0.207591i
\(442\) 0.247006 + 2.29407i 0.0117489 + 0.109118i
\(443\) 14.7949 + 25.6255i 0.702926 + 1.21750i 0.967435 + 0.253120i \(0.0814567\pi\)
−0.264509 + 0.964383i \(0.585210\pi\)
\(444\) 29.1159 29.1159i 1.38178 1.38178i
\(445\) 20.7720 0.984688
\(446\) 4.43286 0.209902
\(447\) −41.4515 + 41.4515i −1.96059 + 1.96059i
\(448\) −1.57965 + 16.4946i −0.0746314 + 0.779296i
\(449\) −2.50811 9.36041i −0.118365 0.441745i 0.881151 0.472834i \(-0.156769\pi\)
−0.999517 + 0.0310893i \(0.990102\pi\)
\(450\) 2.43218 + 0.651701i 0.114654 + 0.0307215i
\(451\) 3.41381 1.97097i 0.160750 0.0928092i
\(452\) 35.5466i 1.67197i
\(453\) 15.9592 4.27625i 0.749827 0.200916i
\(454\) 0.479673 0.0225122
\(455\) −7.20547 12.1474i −0.337797 0.569481i
\(456\) 4.55569 0.213340
\(457\) −33.4816 + 8.97136i −1.56620 + 0.419663i −0.934621 0.355646i \(-0.884261\pi\)
−0.631582 + 0.775309i \(0.717594\pi\)
\(458\) 3.04559i 0.142311i
\(459\) 1.42969 0.825433i 0.0667323 0.0385279i
\(460\) −13.1965 3.53599i −0.615291 0.164867i
\(461\) −2.45042 9.14508i −0.114127 0.425929i 0.885093 0.465414i \(-0.154095\pi\)
−0.999220 + 0.0394858i \(0.987428\pi\)
\(462\) 6.77467 + 4.82705i 0.315186 + 0.224575i
\(463\) 3.59580 3.59580i 0.167111 0.167111i −0.618597 0.785708i \(-0.712299\pi\)
0.785708 + 0.618597i \(0.212299\pi\)
\(464\) −20.4578 −0.949731
\(465\) −21.8879 −1.01503
\(466\) −3.93549 + 3.93549i −0.182308 + 0.182308i
\(467\) 12.0623 + 20.8926i 0.558179 + 0.966794i 0.997649 + 0.0685368i \(0.0218331\pi\)
−0.439470 + 0.898257i \(0.644834\pi\)
\(468\) 22.5067 + 3.50617i 1.04037 + 0.162073i
\(469\) −0.918622 1.11321i −0.0424180 0.0514031i
\(470\) −0.841041 + 3.13881i −0.0387943 + 0.144782i
\(471\) −13.7360 + 23.7915i −0.632923 + 1.09626i
\(472\) −0.830922 1.43920i −0.0382463 0.0662445i
\(473\) 8.70736 2.33313i 0.400365 0.107277i
\(474\) 2.06648 2.06648i 0.0949165 0.0949165i
\(475\) 4.59582 1.23145i 0.210871 0.0565027i
\(476\) −9.71436 6.92162i −0.445257 0.317252i
\(477\) −21.4641 + 37.1769i −0.982772 + 1.70221i
\(478\) 4.89210 + 2.82445i 0.223759 + 0.129188i
\(479\) −17.3217 17.3217i −0.791451 0.791451i 0.190279 0.981730i \(-0.439061\pi\)
−0.981730 + 0.190279i \(0.939061\pi\)
\(480\) −10.0188 5.78437i −0.457295 0.264019i
\(481\) −12.4428 + 28.1391i −0.567344 + 1.28303i
\(482\) 3.90182i 0.177723i
\(483\) 18.4416 25.8825i 0.839123 1.17769i
\(484\) 9.69539 + 16.7929i 0.440700 + 0.763314i
\(485\) 4.19948i 0.190689i
\(486\) −1.58143 5.90197i −0.0717350 0.267719i
\(487\) −9.89230 + 36.9186i −0.448263 + 1.67294i 0.258911 + 0.965901i \(0.416636\pi\)
−0.707174 + 0.707039i \(0.750030\pi\)
\(488\) −7.40357 7.40357i −0.335144 0.335144i
\(489\) 6.85254 + 6.85254i 0.309883 + 0.309883i
\(490\) −2.78087 0.537565i −0.125627 0.0242847i
\(491\) 10.2155 5.89793i 0.461020 0.266170i −0.251453 0.967869i \(-0.580908\pi\)
0.712473 + 0.701700i \(0.247575\pi\)
\(492\) −1.07247 4.00250i −0.0483505 0.180447i
\(493\) 6.73298 11.6619i 0.303238 0.525224i
\(494\) −1.55723 + 0.602306i −0.0700633 + 0.0270990i
\(495\) 19.3131 11.1504i 0.868060 0.501174i
\(496\) −20.2691 5.43109i −0.910110 0.243863i
\(497\) 4.78293 0.802928i 0.214544 0.0360163i
\(498\) −3.25914 1.88166i −0.146045 0.0843193i
\(499\) 3.96298 14.7901i 0.177408 0.662094i −0.818722 0.574191i \(-0.805317\pi\)
0.996129 0.0879031i \(-0.0280166\pi\)
\(500\) −21.4985 5.76051i −0.961443 0.257618i
\(501\) 59.0110 + 15.8119i 2.63642 + 0.706426i
\(502\) 0.459109 1.71342i 0.0204910 0.0764736i
\(503\) −21.5683 12.4524i −0.961682 0.555227i −0.0649915 0.997886i \(-0.520702\pi\)
−0.896690 + 0.442659i \(0.854035\pi\)
\(504\) 7.18309 5.92752i 0.319960 0.264033i
\(505\) 15.2169 + 4.07735i 0.677142 + 0.181440i
\(506\) −5.20697 + 3.00625i −0.231478 + 0.133644i
\(507\) −31.8345 + 6.93574i −1.41382 + 0.308027i
\(508\) 2.80212 4.85341i 0.124324 0.215335i
\(509\) −8.66796 32.3493i −0.384201 1.43386i −0.839423 0.543478i \(-0.817107\pi\)
0.455222 0.890378i \(-0.349560\pi\)
\(510\) 2.05647 1.18730i 0.0910619 0.0525746i
\(511\) −6.16526 + 1.03499i −0.272735 + 0.0457850i
\(512\) −13.2395 13.2395i −0.585111 0.585111i
\(513\) 0.844721 + 0.844721i 0.0372953 + 0.0372953i
\(514\) −1.56998 + 5.85924i −0.0692488 + 0.258440i
\(515\) 6.59694 + 24.6201i 0.290696 + 1.08489i
\(516\) 9.47591i 0.417154i
\(517\) −18.4327 31.9264i −0.810670 1.40412i
\(518\) 2.56158 + 5.61318i 0.112549 + 0.246629i
\(519\) 12.0296i 0.528039i
\(520\) 5.65833 + 0.881473i 0.248134 + 0.0386551i
\(521\) 19.8845 + 11.4803i 0.871155 + 0.502962i 0.867732 0.497032i \(-0.165577\pi\)
0.00342331 + 0.999994i \(0.498910\pi\)
\(522\) 3.64646 + 3.64646i 0.159601 + 0.159601i
\(523\) −2.92715 1.68999i −0.127995 0.0738980i 0.434635 0.900607i \(-0.356877\pi\)
−0.562630 + 0.826709i \(0.690211\pi\)
\(524\) 9.54015 16.5240i 0.416764 0.721856i
\(525\) 10.8043 15.1637i 0.471540 0.661798i
\(526\) 2.66785 0.714848i 0.116324 0.0311688i
\(527\) 9.76683 9.76683i 0.425450 0.425450i
\(528\) 39.5327 10.5927i 1.72044 0.460990i
\(529\) −0.0147097 0.0254780i −0.000639552 0.00110774i
\(530\) −2.64676 + 4.58433i −0.114968 + 0.199130i
\(531\) 1.31564 4.91004i 0.0570939 0.213078i
\(532\) 3.01863 8.08642i 0.130874 0.350591i
\(533\) 1.82627 + 2.50027i 0.0791046 + 0.108299i
\(534\) −4.80470 8.32199i −0.207920 0.360128i
\(535\) −4.24724 + 4.24724i −0.183624 + 0.183624i
\(536\) 0.585195 0.0252766
\(537\) −27.9206 −1.20486
\(538\) −2.00167 + 2.00167i −0.0862979 + 0.0862979i
\(539\) 26.6205 17.9958i 1.14663 0.775135i
\(540\) −0.520139 1.94119i −0.0223832 0.0835353i
\(541\) 31.0743 + 8.32634i 1.33599 + 0.357977i 0.854945 0.518719i \(-0.173591\pi\)
0.481044 + 0.876696i \(0.340258\pi\)
\(542\) −0.773787 + 0.446746i −0.0332370 + 0.0191894i
\(543\) 10.8383i 0.465114i
\(544\) 7.05172 1.88950i 0.302340 0.0810118i
\(545\) −11.7282 −0.502383
\(546\) −3.20001 + 5.69654i −0.136948 + 0.243789i
\(547\) −13.1782 −0.563460 −0.281730 0.959494i \(-0.590908\pi\)
−0.281730 + 0.959494i \(0.590908\pi\)
\(548\) −1.01293 + 0.271415i −0.0432704 + 0.0115943i
\(549\) 32.0263i 1.36685i
\(550\) −3.05059 + 1.76126i −0.130078 + 0.0751004i
\(551\) 9.41234 + 2.52203i 0.400979 + 0.107442i
\(552\) 3.33505 + 12.4466i 0.141949 + 0.529761i
\(553\) −4.68671 10.2700i −0.199299 0.436724i
\(554\) −3.21995 + 3.21995i −0.136803 + 0.136803i
\(555\) 31.6644 1.34408
\(556\) 7.39198 0.313490
\(557\) −2.88728 + 2.88728i −0.122338 + 0.122338i −0.765625 0.643287i \(-0.777570\pi\)
0.643287 + 0.765625i \(0.277570\pi\)
\(558\) 2.64477 + 4.58088i 0.111962 + 0.193924i
\(559\) 2.55421 + 6.60379i 0.108032 + 0.279311i
\(560\) −10.7483 + 8.86951i −0.454197 + 0.374805i
\(561\) −6.97247 + 26.0216i −0.294378 + 1.09863i
\(562\) 1.55000 2.68468i 0.0653828 0.113246i
\(563\) 10.2301 + 17.7191i 0.431149 + 0.746772i 0.996973 0.0777545i \(-0.0247750\pi\)
−0.565824 + 0.824526i \(0.691442\pi\)
\(564\) −37.4319 + 10.0298i −1.57617 + 0.422333i
\(565\) 19.3290 19.3290i 0.813177 0.813177i
\(566\) 3.81191 1.02140i 0.160227 0.0429326i
\(567\) −21.2723 2.03720i −0.893354 0.0855545i
\(568\) −0.983208 + 1.70297i −0.0412545 + 0.0714549i
\(569\) 8.00992 + 4.62453i 0.335793 + 0.193870i 0.658410 0.752659i \(-0.271229\pi\)
−0.322617 + 0.946530i \(0.604563\pi\)
\(570\) 1.21505 + 1.21505i 0.0508927 + 0.0508927i
\(571\) −35.2658 20.3607i −1.47583 0.852069i −0.476198 0.879338i \(-0.657986\pi\)
−0.999628 + 0.0272690i \(0.991319\pi\)
\(572\) −25.7321 + 18.7955i −1.07591 + 0.785877i
\(573\) 15.8382i 0.661650i
\(574\) 0.618086 + 0.0591927i 0.0257984 + 0.00247066i
\(575\) 6.72885 + 11.6547i 0.280613 + 0.486035i
\(576\) 20.5504i 0.856267i
\(577\) 2.82885 + 10.5574i 0.117767 + 0.439511i 0.999479 0.0322762i \(-0.0102756\pi\)
−0.881712 + 0.471788i \(0.843609\pi\)
\(578\) 0.814608 3.04016i 0.0338832 0.126454i
\(579\) 21.1109 + 21.1109i 0.877337 + 0.877337i
\(580\) −11.5914 11.5914i −0.481305 0.481305i
\(581\) −11.2123 + 9.25247i −0.465166 + 0.383857i
\(582\) 1.68246 0.971367i 0.0697401 0.0402644i
\(583\) −15.5432 58.0080i −0.643733 2.40244i
\(584\) 1.26737 2.19515i 0.0524441 0.0908358i
\(585\) 10.3318 + 14.1449i 0.427169 + 0.584820i
\(586\) −3.89810 + 2.25057i −0.161029 + 0.0929703i
\(587\) −15.6037 4.18099i −0.644033 0.172568i −0.0780032 0.996953i \(-0.524854\pi\)
−0.566029 + 0.824385i \(0.691521\pi\)
\(588\) −11.0298 31.9256i −0.454861 1.31659i
\(589\) 8.65597 + 4.99753i 0.356663 + 0.205920i
\(590\) 0.162233 0.605463i 0.00667904 0.0249265i
\(591\) −4.99007 1.33708i −0.205264 0.0550003i
\(592\) 29.3226 + 7.85696i 1.20515 + 0.322919i
\(593\) −11.9735 + 44.6856i −0.491691 + 1.83502i 0.0561324 + 0.998423i \(0.482123\pi\)
−0.547824 + 0.836594i \(0.684544\pi\)
\(594\) −0.765937 0.442214i −0.0314268 0.0181443i
\(595\) −1.51860 9.04607i −0.0622564 0.370853i
\(596\) −43.4987 11.6554i −1.78178 0.477425i
\(597\) 40.2902 23.2616i 1.64897 0.952033i
\(598\) −2.78555 3.81358i −0.113910 0.155949i
\(599\) 5.89887 10.2171i 0.241021 0.417461i −0.719984 0.693990i \(-0.755851\pi\)
0.961005 + 0.276529i \(0.0891843\pi\)
\(600\) 1.95390 + 7.29204i 0.0797675 + 0.297696i
\(601\) −11.5727 + 6.68152i −0.472062 + 0.272545i −0.717102 0.696968i \(-0.754532\pi\)
0.245041 + 0.969513i \(0.421199\pi\)
\(602\) 1.33026 + 0.496581i 0.0542173 + 0.0202391i
\(603\) 1.26572 + 1.26572i 0.0515439 + 0.0515439i
\(604\) 8.97487 + 8.97487i 0.365182 + 0.365182i
\(605\) −3.85938 + 14.4034i −0.156906 + 0.585582i
\(606\) −1.88623 7.03952i −0.0766230 0.285961i
\(607\) 34.1174i 1.38478i −0.721522 0.692392i \(-0.756557\pi\)
0.721522 0.692392i \(-0.243443\pi\)
\(608\) 2.64142 + 4.57508i 0.107124 + 0.185544i
\(609\) 34.6908 15.8311i 1.40574 0.641510i
\(610\) 3.94921i 0.159899i
\(611\) 23.3829 17.0795i 0.945970 0.690963i
\(612\) 12.8114 + 7.39665i 0.517869 + 0.298992i
\(613\) −2.87688 2.87688i −0.116196 0.116196i 0.646618 0.762814i \(-0.276183\pi\)
−0.762814 + 0.646618i \(0.776183\pi\)
\(614\) 2.76996 + 1.59924i 0.111787 + 0.0645400i
\(615\) 1.59325 2.75959i 0.0642461 0.111277i
\(616\) −1.24202 + 12.9691i −0.0500424 + 0.522540i
\(617\) −17.7169 + 4.74724i −0.713257 + 0.191117i −0.597161 0.802121i \(-0.703705\pi\)
−0.116096 + 0.993238i \(0.537038\pi\)
\(618\) 8.33776 8.33776i 0.335394 0.335394i
\(619\) −35.0270 + 9.38547i −1.40786 + 0.377234i −0.881159 0.472820i \(-0.843236\pi\)
−0.526697 + 0.850053i \(0.676570\pi\)
\(620\) −8.40718 14.5617i −0.337641 0.584811i
\(621\) −1.68947 + 2.92624i −0.0677960 + 0.117426i
\(622\) −0.912620 + 3.40595i −0.0365927 + 0.136566i
\(623\) −36.6071 + 6.14536i −1.46663 + 0.246209i
\(624\) 11.5965 + 29.9822i 0.464231 + 1.20025i
\(625\) −1.53798 2.66385i −0.0615191 0.106554i
\(626\) 1.15208 1.15208i 0.0460465 0.0460465i
\(627\) −19.4943 −0.778526
\(628\) −21.1042 −0.842148
\(629\) −14.1293 + 14.1293i −0.563373 + 0.563373i
\(630\) 3.49672 + 0.334873i 0.139313 + 0.0133417i
\(631\) 6.52992 + 24.3700i 0.259952 + 0.970153i 0.965268 + 0.261261i \(0.0841383\pi\)
−0.705316 + 0.708893i \(0.749195\pi\)
\(632\) 4.42119 + 1.18465i 0.175866 + 0.0471230i
\(633\) 6.09330 3.51797i 0.242187 0.139827i
\(634\) 3.53562i 0.140417i
\(635\) 4.16281 1.11542i 0.165196 0.0442642i
\(636\) −63.1280 −2.50319
\(637\) 16.2922 + 19.2760i 0.645519 + 0.763744i
\(638\) −7.21420 −0.285613
\(639\) −5.80992 + 1.55676i −0.229837 + 0.0615846i
\(640\) 11.7660i 0.465092i
\(641\) −9.82660 + 5.67339i −0.388127 + 0.224085i −0.681348 0.731959i \(-0.738606\pi\)
0.293221 + 0.956045i \(0.405273\pi\)
\(642\) 2.68401 + 0.719177i 0.105929 + 0.0283837i
\(643\) 2.92632 + 10.9212i 0.115403 + 0.430690i 0.999317 0.0369602i \(-0.0117675\pi\)
−0.883914 + 0.467650i \(0.845101\pi\)
\(644\) 24.3027 + 2.32741i 0.957659 + 0.0917129i
\(645\) 5.15267 5.15267i 0.202886 0.202886i
\(646\) −1.08436 −0.0426635
\(647\) 19.2816 0.758039 0.379020 0.925389i \(-0.376261\pi\)
0.379020 + 0.925389i \(0.376261\pi\)
\(648\) 6.12673 6.12673i 0.240681 0.240681i
\(649\) 3.55560 + 6.15848i 0.139569 + 0.241741i
\(650\) −1.63196 2.23425i −0.0640108 0.0876346i
\(651\) 38.5736 6.47549i 1.51182 0.253794i
\(652\) −1.92681 + 7.19096i −0.0754598 + 0.281620i
\(653\) −1.99409 + 3.45386i −0.0780346 + 0.135160i −0.902402 0.430895i \(-0.858198\pi\)
0.824367 + 0.566055i \(0.191531\pi\)
\(654\) 2.71282 + 4.69874i 0.106080 + 0.183735i
\(655\) 14.1728 3.79759i 0.553777 0.148384i
\(656\) 2.16016 2.16016i 0.0843402 0.0843402i
\(657\) 7.48906 2.00669i 0.292176 0.0782883i
\(658\) 0.553578 5.78042i 0.0215807 0.225344i
\(659\) −13.3526 + 23.1273i −0.520143 + 0.900913i 0.479583 + 0.877496i \(0.340788\pi\)
−0.999726 + 0.0234170i \(0.992545\pi\)
\(660\) 28.4009 + 16.3973i 1.10550 + 0.638263i
\(661\) 10.0407 + 10.0407i 0.390539 + 0.390539i 0.874880 0.484340i \(-0.160940\pi\)
−0.484340 + 0.874880i \(0.660940\pi\)
\(662\) −2.36509 1.36549i −0.0919220 0.0530712i
\(663\) −20.9077 3.25708i −0.811990 0.126494i
\(664\) 5.89415i 0.228738i
\(665\) 6.03854 2.75569i 0.234164 0.106861i
\(666\) −3.82609 6.62699i −0.148258 0.256790i
\(667\) 27.5617i 1.06719i
\(668\) 12.1468 + 45.3325i 0.469974 + 1.75397i
\(669\) −10.5217 + 39.2674i −0.406791 + 1.51816i
\(670\) 0.156077 + 0.156077i 0.00602978 + 0.00602978i
\(671\) 31.6806 + 31.6806i 1.22302 + 1.22302i
\(672\) 19.3677 + 7.22990i 0.747127 + 0.278899i
\(673\) 34.5521 19.9487i 1.33189 0.768965i 0.346298 0.938124i \(-0.387439\pi\)
0.985589 + 0.169159i \(0.0541052\pi\)
\(674\) −1.24013 4.62822i −0.0477680 0.178273i
\(675\) −0.989804 + 1.71439i −0.0380976 + 0.0659869i
\(676\) −16.8419 18.5150i −0.647767 0.712114i
\(677\) 5.68825 3.28411i 0.218617 0.126219i −0.386693 0.922209i \(-0.626383\pi\)
0.605310 + 0.795990i \(0.293049\pi\)
\(678\) −12.2148 3.27294i −0.469106 0.125697i
\(679\) −1.24241 7.40085i −0.0476792 0.284019i
\(680\) 3.22086 + 1.85956i 0.123514 + 0.0713110i
\(681\) −1.13853 + 4.24906i −0.0436286 + 0.162824i
\(682\) −7.14765 1.91521i −0.273698 0.0733371i
\(683\) −11.2790 3.02219i −0.431578 0.115641i 0.0364888 0.999334i \(-0.488383\pi\)
−0.468067 + 0.883693i \(0.655049\pi\)
\(684\) −2.77063 + 10.3401i −0.105938 + 0.395364i
\(685\) −0.698384 0.403212i −0.0266839 0.0154060i
\(686\) 5.05983 + 0.124651i 0.193185 + 0.00475918i
\(687\) 26.9785 + 7.22888i 1.02930 + 0.275799i
\(688\) 6.05014 3.49305i 0.230659 0.133171i
\(689\) 43.9941 17.0160i 1.67604 0.648259i
\(690\) −2.43013 + 4.20911i −0.0925135 + 0.160238i
\(691\) −5.09630 19.0196i −0.193872 0.723541i −0.992556 0.121790i \(-0.961137\pi\)
0.798684 0.601751i \(-0.205530\pi\)
\(692\) 8.00308 4.62058i 0.304231 0.175648i
\(693\) −30.7372 + 25.3644i −1.16761 + 0.963515i
\(694\) 5.07347 + 5.07347i 0.192586 + 0.192586i
\(695\) 4.01950 + 4.01950i 0.152468 + 0.152468i
\(696\) −4.00162 + 14.9343i −0.151681 + 0.566081i
\(697\) 0.520446 + 1.94233i 0.0197133 + 0.0735710i
\(698\) 3.06352i 0.115956i
\(699\) −25.5204 44.2027i −0.965271 1.67190i
\(700\) 14.2381 + 1.36355i 0.538151 + 0.0515375i
\(701\) 1.58634i 0.0599153i 0.999551 + 0.0299577i \(0.00953725\pi\)
−0.999551 + 0.0299577i \(0.990463\pi\)
\(702\) 0.280941 0.635340i 0.0106034 0.0239793i
\(703\) −12.5223 7.22974i −0.472287 0.272675i
\(704\) 20.3286 + 20.3286i 0.766163 + 0.766163i
\(705\) −25.8081 14.9003i −0.971988 0.561177i
\(706\) −0.957033 + 1.65763i −0.0360184 + 0.0623857i
\(707\) −28.0234 2.68373i −1.05393 0.100932i
\(708\) 7.22047 1.93472i 0.271362 0.0727111i
\(709\) −12.2017 + 12.2017i −0.458246 + 0.458246i −0.898079 0.439834i \(-0.855037\pi\)
0.439834 + 0.898079i \(0.355037\pi\)
\(710\) −0.716428 + 0.191966i −0.0268871 + 0.00720437i
\(711\) 7.00029 + 12.1249i 0.262531 + 0.454718i
\(712\) 7.52517 13.0340i 0.282017 0.488469i
\(713\) −7.31700 + 27.3074i −0.274024 + 1.02267i
\(714\) −3.27291 + 2.70082i −0.122485 + 0.101075i
\(715\) −24.2125 3.77191i −0.905498 0.141061i
\(716\) −10.7244 18.5751i −0.400788 0.694186i
\(717\) −36.6314 + 36.6314i −1.36802 + 1.36802i
\(718\) −1.39693 −0.0521328
\(719\) 23.1711 0.864137 0.432069 0.901841i \(-0.357784\pi\)
0.432069 + 0.901841i \(0.357784\pi\)
\(720\) 12.2208 12.2208i 0.455441 0.455441i
\(721\) −18.9098 41.4370i −0.704237 1.54319i
\(722\) 1.14082 + 4.25761i 0.0424570 + 0.158452i
\(723\) −34.5633 9.26120i −1.28542 0.344428i
\(724\) 7.21053 4.16300i 0.267977 0.154717i
\(725\) 16.1475i 0.599703i
\(726\) 6.66321 1.78540i 0.247295 0.0662625i
\(727\) 18.3365 0.680062 0.340031 0.940414i \(-0.389562\pi\)
0.340031 + 0.940414i \(0.389562\pi\)
\(728\) −10.2326 + 0.120562i −0.379245 + 0.00446834i
\(729\) 31.8037 1.17792
\(730\) 0.923485 0.247447i 0.0341797 0.00915843i
\(731\) 4.59846i 0.170080i
\(732\) 40.7866 23.5482i 1.50752 0.870365i
\(733\) −19.6316 5.26026i −0.725108 0.194292i −0.122658 0.992449i \(-0.539142\pi\)
−0.602450 + 0.798157i \(0.705809\pi\)
\(734\) 1.29987 + 4.85119i 0.0479791 + 0.179061i
\(735\) 11.3624 23.3577i 0.419110 0.861560i
\(736\) −10.5659 + 10.5659i −0.389463 + 0.389463i
\(737\) −2.50411 −0.0922400
\(738\) −0.770067 −0.0283465
\(739\) −23.4876 + 23.4876i −0.864004 + 0.864004i −0.991800 0.127797i \(-0.959209\pi\)
0.127797 + 0.991800i \(0.459209\pi\)
\(740\) 12.1624 + 21.0658i 0.447097 + 0.774395i
\(741\) −1.63919 15.2240i −0.0602170 0.559266i
\(742\) 3.30819 8.86212i 0.121448 0.325339i
\(743\) 1.88756 7.04445i 0.0692477 0.258436i −0.922620 0.385711i \(-0.873956\pi\)
0.991868 + 0.127275i \(0.0406230\pi\)
\(744\) −7.92941 + 13.7341i −0.290706 + 0.503518i
\(745\) −17.3153 29.9909i −0.634382 1.09878i
\(746\) 5.50442 1.47491i 0.201531 0.0540001i
\(747\) 12.7484 12.7484i 0.466441 0.466441i
\(748\) −19.9899 + 5.35628i −0.730903 + 0.195845i
\(749\) 6.22848 8.74156i 0.227584 0.319410i
\(750\) −3.95894 + 6.85709i −0.144560 + 0.250385i
\(751\) 6.19866 + 3.57880i 0.226192 + 0.130592i 0.608814 0.793313i \(-0.291645\pi\)
−0.382622 + 0.923905i \(0.624979\pi\)
\(752\) −20.2021 20.2021i −0.736695 0.736695i
\(753\) 14.0882 + 8.13380i 0.513401 + 0.296412i
\(754\) −0.606610 5.63390i −0.0220915 0.205175i
\(755\) 9.76045i 0.355219i
\(756\) 1.49095 + 3.26712i 0.0542254 + 0.118824i
\(757\) 7.08185 + 12.2661i 0.257394 + 0.445820i 0.965543 0.260243i \(-0.0838027\pi\)
−0.708149 + 0.706063i \(0.750469\pi\)
\(758\) 7.62385i 0.276911i
\(759\) −14.2710 53.2601i −0.518005 1.93322i
\(760\) −0.696552 + 2.59957i −0.0252666 + 0.0942963i
\(761\) −10.2079 10.2079i −0.370038 0.370038i 0.497453 0.867491i \(-0.334269\pi\)
−0.867491 + 0.497453i \(0.834269\pi\)
\(762\) −1.40976 1.40976i −0.0510703 0.0510703i
\(763\) 20.6690 3.46978i 0.748268 0.125614i
\(764\) 10.5369 6.08348i 0.381212 0.220093i
\(765\) 2.94434 + 10.9884i 0.106453 + 0.397287i
\(766\) 3.35853 5.81714i 0.121349 0.210182i
\(767\) −4.51047 + 3.29457i −0.162863 + 0.118960i
\(768\) 22.4731 12.9748i 0.810926 0.468189i
\(769\) 48.9223 + 13.1087i 1.76418 + 0.472711i 0.987559 0.157252i \(-0.0502635\pi\)
0.776625 + 0.629963i \(0.216930\pi\)
\(770\) −3.79024 + 3.12772i −0.136591 + 0.112715i
\(771\) −48.1761 27.8145i −1.73502 1.00171i
\(772\) −5.93600 + 22.1535i −0.213641 + 0.797320i
\(773\) −11.3142 3.03164i −0.406944 0.109040i 0.0495394