Properties

Label 354.2.e.b.7.2
Level 354
Weight 2
Character 354.7
Analytic conductor 2.827
Analytic rank 0
Dimension 56
CM No

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Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\) and degree \(28\))

Newform invariants

Self dual: No
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(2\) over \(\Q(\zeta_{29})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 7.2
Character \(\chi\) = 354.7
Dual form 354.2.e.b.253.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.561187 + 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(2.80275 - 1.29669i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(-0.846851 + 3.05008i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +O(q^{10})\) \(q+(0.561187 + 0.827689i) q^{2} +(-0.0541389 + 0.998533i) q^{3} +(-0.370138 + 0.928977i) q^{4} +(2.80275 - 1.29669i) q^{5} +(-0.856857 + 0.515554i) q^{6} +(-0.846851 + 3.05008i) q^{7} +(-0.976621 + 0.214970i) q^{8} +(-0.994138 - 0.108119i) q^{9} +(2.64613 + 1.59212i) q^{10} +(-0.0868341 + 0.0822536i) q^{11} +(-0.907575 - 0.419889i) q^{12} +(3.36600 - 0.366075i) q^{13} +(-2.99976 + 1.01074i) q^{14} +(1.14305 + 2.86885i) q^{15} +(-0.725995 - 0.687699i) q^{16} +(0.194991 + 0.702295i) q^{17} +(-0.468408 - 0.883512i) q^{18} +(-1.84943 + 1.40590i) q^{19} +(0.167191 + 3.08365i) q^{20} +(-2.99976 - 1.01074i) q^{21} +(-0.116811 - 0.0257120i) q^{22} +(-0.467812 + 0.882387i) q^{23} +(-0.161782 - 0.986827i) q^{24} +(2.93709 - 3.45781i) q^{25} +(2.19195 + 2.58057i) q^{26} +(0.161782 - 0.986827i) q^{27} +(-2.52000 - 1.91566i) q^{28} +(2.24514 - 3.31133i) q^{29} +(-1.73305 + 2.55605i) q^{30} +(-2.92940 - 2.22687i) q^{31} +(0.161782 - 0.986827i) q^{32} +(-0.0774319 - 0.0911599i) q^{33} +(-0.471855 + 0.555511i) q^{34} +(1.58150 + 9.64674i) q^{35} +(0.468408 - 0.883512i) q^{36} +(-3.49596 - 0.769519i) q^{37} +(-2.20153 - 0.741781i) q^{38} +(0.183306 + 3.38089i) q^{39} +(-2.45848 + 1.86889i) q^{40} +(0.792827 + 1.49543i) q^{41} +(-0.846851 - 3.05008i) q^{42} +(-8.88807 - 8.41923i) q^{43} +(-0.0442711 - 0.111112i) q^{44} +(-2.92652 + 0.986060i) q^{45} +(-0.992873 + 0.107981i) q^{46} +(9.30161 + 4.30338i) q^{47} +(0.725995 - 0.687699i) q^{48} +(-2.58785 - 1.55706i) q^{49} +(4.51025 + 0.490519i) q^{50} +(-0.711821 + 0.156684i) q^{51} +(-0.905811 + 3.26244i) q^{52} +(9.53747 - 5.73850i) q^{53} +(0.907575 - 0.419889i) q^{54} +(-0.136717 + 0.343134i) q^{55} +(0.171375 - 3.16082i) q^{56} +(-1.30371 - 1.92284i) q^{57} +4.00069 q^{58} +(-6.73471 - 3.69373i) q^{59} -3.08818 q^{60} +(-6.40784 - 9.45086i) q^{61} +(0.199216 - 3.67433i) q^{62} +(1.17166 - 2.94064i) q^{63} +(0.907575 - 0.419889i) q^{64} +(8.95939 - 5.39069i) q^{65} +(0.0319982 - 0.115247i) q^{66} +(12.5032 - 2.75216i) q^{67} +(-0.724589 - 0.0788038i) q^{68} +(-0.855766 - 0.514898i) q^{69} +(-7.09698 + 6.72262i) q^{70} +(9.16754 + 4.24136i) q^{71} +(0.994138 - 0.108119i) q^{72} +(9.07193 - 3.05669i) q^{73} +(-1.32496 - 3.32541i) q^{74} +(3.29373 + 3.11998i) q^{75} +(-0.621505 - 2.23846i) q^{76} +(-0.177345 - 0.334508i) q^{77} +(-2.69545 + 2.04903i) q^{78} +(-0.520186 - 9.59426i) q^{79} +(-2.92652 - 0.986060i) q^{80} +(0.976621 + 0.214970i) q^{81} +(-0.792827 + 1.49543i) q^{82} +(-1.94870 - 11.8866i) q^{83} +(2.04928 - 2.41260i) q^{84} +(1.45717 + 1.71552i) q^{85} +(1.98063 - 12.0813i) q^{86} +(3.18493 + 2.42112i) q^{87} +(0.0671219 - 0.0989973i) q^{88} +(-5.81504 + 8.57655i) q^{89} +(-2.45848 - 1.86889i) q^{90} +(-1.73395 + 10.5766i) q^{91} +(-0.646562 - 0.761192i) q^{92} +(2.38220 - 2.80455i) q^{93} +(1.65808 + 10.1138i) q^{94} +(-3.36048 + 6.33855i) q^{95} +(0.976621 + 0.214970i) q^{96} +(-11.8292 - 3.98574i) q^{97} +(-0.163508 - 3.01573i) q^{98} +(0.0952182 - 0.0723830i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + O(q^{10}) \) \( 56q + 2q^{2} + 2q^{3} - 2q^{4} - 2q^{5} - 2q^{6} + q^{7} + 2q^{8} - 2q^{9} + 2q^{10} + 30q^{11} + 2q^{12} + 5q^{13} + 28q^{14} + 2q^{15} - 2q^{16} - 3q^{17} + 2q^{18} - 4q^{19} - 2q^{20} + 28q^{21} - q^{22} - 2q^{23} - 2q^{24} + 64q^{25} - 34q^{26} + 2q^{27} + q^{28} + 8q^{29} - 2q^{30} + 2q^{32} - q^{33} + 32q^{34} - 87q^{35} - 2q^{36} + 47q^{37} + 4q^{38} - 5q^{39} + 2q^{40} + 3q^{41} + q^{42} - 61q^{43} + q^{44} - 2q^{45} - 27q^{46} + 50q^{47} + 2q^{48} - 45q^{49} - 6q^{50} + 3q^{51} - 24q^{52} - 27q^{53} - 2q^{54} - 95q^{55} - q^{56} + 4q^{57} + 50q^{58} - 58q^{59} + 2q^{60} - 74q^{61} - 29q^{62} + q^{63} - 2q^{64} - 17q^{65} + q^{66} + 4q^{67} - 32q^{68} + 31q^{69} - 58q^{70} - 47q^{71} + 2q^{72} + 43q^{73} - 18q^{74} - 6q^{75} - 33q^{76} - 5q^{77} + 5q^{78} + 19q^{79} - 2q^{80} - 2q^{81} - 3q^{82} + 47q^{83} - q^{84} - 149q^{85} - 55q^{86} + 21q^{87} + 28q^{88} + 36q^{89} + 2q^{90} + 175q^{91} - 2q^{92} - 29q^{93} - 21q^{94} + 50q^{95} - 2q^{96} + 10q^{97} - 13q^{98} + q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.561187 + 0.827689i 0.396819 + 0.585265i
\(3\) −0.0541389 + 0.998533i −0.0312571 + 0.576504i
\(4\) −0.370138 + 0.928977i −0.185069 + 0.464488i
\(5\) 2.80275 1.29669i 1.25343 0.579898i 0.323011 0.946395i \(-0.395305\pi\)
0.930419 + 0.366497i \(0.119443\pi\)
\(6\) −0.856857 + 0.515554i −0.349810 + 0.210474i
\(7\) −0.846851 + 3.05008i −0.320080 + 1.15282i 0.612086 + 0.790791i \(0.290331\pi\)
−0.932166 + 0.362032i \(0.882083\pi\)
\(8\) −0.976621 + 0.214970i −0.345288 + 0.0760035i
\(9\) −0.994138 0.108119i −0.331379 0.0360397i
\(10\) 2.64613 + 1.59212i 0.836779 + 0.503473i
\(11\) −0.0868341 + 0.0822536i −0.0261815 + 0.0248004i −0.700678 0.713477i \(-0.747119\pi\)
0.674497 + 0.738278i \(0.264361\pi\)
\(12\) −0.907575 0.419889i −0.261994 0.121212i
\(13\) 3.36600 0.366075i 0.933561 0.101531i 0.371321 0.928505i \(-0.378905\pi\)
0.562241 + 0.826974i \(0.309939\pi\)
\(14\) −2.99976 + 1.01074i −0.801720 + 0.270131i
\(15\) 1.14305 + 2.86885i 0.295135 + 0.740733i
\(16\) −0.725995 0.687699i −0.181499 0.171925i
\(17\) 0.194991 + 0.702295i 0.0472923 + 0.170332i 0.983425 0.181316i \(-0.0580355\pi\)
−0.936133 + 0.351647i \(0.885622\pi\)
\(18\) −0.468408 0.883512i −0.110405 0.208246i
\(19\) −1.84943 + 1.40590i −0.424289 + 0.322536i −0.795436 0.606038i \(-0.792758\pi\)
0.371146 + 0.928574i \(0.378965\pi\)
\(20\) 0.167191 + 3.08365i 0.0373850 + 0.689525i
\(21\) −2.99976 1.01074i −0.654602 0.220561i
\(22\) −0.116811 0.0257120i −0.0249041 0.00548181i
\(23\) −0.467812 + 0.882387i −0.0975456 + 0.183990i −0.927482 0.373867i \(-0.878032\pi\)
0.829937 + 0.557858i \(0.188376\pi\)
\(24\) −0.161782 0.986827i −0.0330236 0.201435i
\(25\) 2.93709 3.45781i 0.587418 0.691562i
\(26\) 2.19195 + 2.58057i 0.429878 + 0.506091i
\(27\) 0.161782 0.986827i 0.0311350 0.189915i
\(28\) −2.52000 1.91566i −0.476236 0.362025i
\(29\) 2.24514 3.31133i 0.416912 0.614899i −0.560013 0.828484i \(-0.689204\pi\)
0.976924 + 0.213585i \(0.0685141\pi\)
\(30\) −1.73305 + 2.55605i −0.316409 + 0.466669i
\(31\) −2.92940 2.22687i −0.526136 0.399959i 0.308110 0.951351i \(-0.400304\pi\)
−0.834246 + 0.551392i \(0.814097\pi\)
\(32\) 0.161782 0.986827i 0.0285993 0.174448i
\(33\) −0.0774319 0.0911599i −0.0134792 0.0158689i
\(34\) −0.471855 + 0.555511i −0.0809225 + 0.0952693i
\(35\) 1.58150 + 9.64674i 0.267323 + 1.63060i
\(36\) 0.468408 0.883512i 0.0780681 0.147252i
\(37\) −3.49596 0.769519i −0.574732 0.126508i −0.0819123 0.996640i \(-0.526103\pi\)
−0.492820 + 0.870131i \(0.664034\pi\)
\(38\) −2.20153 0.741781i −0.357135 0.120333i
\(39\) 0.183306 + 3.38089i 0.0293525 + 0.541375i
\(40\) −2.45848 + 1.86889i −0.388719 + 0.295497i
\(41\) 0.792827 + 1.49543i 0.123819 + 0.233547i 0.937670 0.347526i \(-0.112978\pi\)
−0.813852 + 0.581073i \(0.802633\pi\)
\(42\) −0.846851 3.05008i −0.130672 0.470638i
\(43\) −8.88807 8.41923i −1.35542 1.28392i −0.924322 0.381614i \(-0.875368\pi\)
−0.431096 0.902306i \(-0.641873\pi\)
\(44\) −0.0442711 0.111112i −0.00667412 0.0167508i
\(45\) −2.92652 + 0.986060i −0.436260 + 0.146993i
\(46\) −0.992873 + 0.107981i −0.146391 + 0.0159210i
\(47\) 9.30161 + 4.30338i 1.35678 + 0.627713i 0.957318 0.289037i \(-0.0933352\pi\)
0.399461 + 0.916750i \(0.369197\pi\)
\(48\) 0.725995 0.687699i 0.104788 0.0992609i
\(49\) −2.58785 1.55706i −0.369693 0.222437i
\(50\) 4.51025 + 0.490519i 0.637845 + 0.0693699i
\(51\) −0.711821 + 0.156684i −0.0996749 + 0.0219401i
\(52\) −0.905811 + 3.26244i −0.125613 + 0.452419i
\(53\) 9.53747 5.73850i 1.31007 0.788244i 0.322675 0.946510i \(-0.395418\pi\)
0.987397 + 0.158266i \(0.0505903\pi\)
\(54\) 0.907575 0.419889i 0.123505 0.0571397i
\(55\) −0.136717 + 0.343134i −0.0184349 + 0.0462682i
\(56\) 0.171375 3.16082i 0.0229009 0.422383i
\(57\) −1.30371 1.92284i −0.172681 0.254686i
\(58\) 4.00069 0.525317
\(59\) −6.73471 3.69373i −0.876785 0.480883i
\(60\) −3.08818 −0.398682
\(61\) −6.40784 9.45086i −0.820440 1.21006i −0.975028 0.222080i \(-0.928715\pi\)
0.154588 0.987979i \(-0.450595\pi\)
\(62\) 0.199216 3.67433i 0.0253005 0.466640i
\(63\) 1.17166 2.94064i 0.147615 0.370486i
\(64\) 0.907575 0.419889i 0.113447 0.0524861i
\(65\) 8.95939 5.39069i 1.11128 0.668633i
\(66\) 0.0319982 0.115247i 0.00393871 0.0141860i
\(67\) 12.5032 2.75216i 1.52751 0.336230i 0.629778 0.776775i \(-0.283146\pi\)
0.897731 + 0.440545i \(0.145215\pi\)
\(68\) −0.724589 0.0788038i −0.0878693 0.00955637i
\(69\) −0.855766 0.514898i −0.103022 0.0619864i
\(70\) −7.09698 + 6.72262i −0.848251 + 0.803506i
\(71\) 9.16754 + 4.24136i 1.08799 + 0.503356i 0.880096 0.474796i \(-0.157478\pi\)
0.207891 + 0.978152i \(0.433340\pi\)
\(72\) 0.994138 0.108119i 0.117160 0.0127419i
\(73\) 9.07193 3.05669i 1.06179 0.357759i 0.266403 0.963862i \(-0.414165\pi\)
0.795386 + 0.606103i \(0.207268\pi\)
\(74\) −1.32496 3.32541i −0.154024 0.386571i
\(75\) 3.29373 + 3.11998i 0.380327 + 0.360265i
\(76\) −0.621505 2.23846i −0.0712915 0.256769i
\(77\) −0.177345 0.334508i −0.0202103 0.0381207i
\(78\) −2.69545 + 2.04903i −0.305200 + 0.232007i
\(79\) −0.520186 9.59426i −0.0585255 1.07944i −0.869365 0.494170i \(-0.835472\pi\)
0.810840 0.585268i \(-0.199011\pi\)
\(80\) −2.92652 0.986060i −0.327195 0.110245i
\(81\) 0.976621 + 0.214970i 0.108513 + 0.0238856i
\(82\) −0.792827 + 1.49543i −0.0875531 + 0.165143i
\(83\) −1.94870 11.8866i −0.213898 1.30472i −0.847391 0.530970i \(-0.821828\pi\)
0.633493 0.773749i \(-0.281621\pi\)
\(84\) 2.04928 2.41260i 0.223595 0.263236i
\(85\) 1.45717 + 1.71552i 0.158053 + 0.186074i
\(86\) 1.98063 12.0813i 0.213577 1.30276i
\(87\) 3.18493 + 2.42112i 0.341460 + 0.259571i
\(88\) 0.0671219 0.0989973i 0.00715521 0.0105532i
\(89\) −5.81504 + 8.57655i −0.616393 + 0.909112i −0.999896 0.0144276i \(-0.995407\pi\)
0.383503 + 0.923540i \(0.374718\pi\)
\(90\) −2.45848 1.86889i −0.259146 0.196998i
\(91\) −1.73395 + 10.5766i −0.181767 + 1.10873i
\(92\) −0.646562 0.761192i −0.0674088 0.0793597i
\(93\) 2.38220 2.80455i 0.247023 0.290818i
\(94\) 1.65808 + 10.1138i 0.171018 + 1.04316i
\(95\) −3.36048 + 6.33855i −0.344778 + 0.650321i
\(96\) 0.976621 + 0.214970i 0.0996759 + 0.0219403i
\(97\) −11.8292 3.98574i −1.20108 0.404690i −0.353537 0.935421i \(-0.615021\pi\)
−0.847541 + 0.530730i \(0.821918\pi\)
\(98\) −0.163508 3.01573i −0.0165168 0.304635i
\(99\) 0.0952182 0.0723830i 0.00956979 0.00727477i
\(100\) 2.12510 + 4.00836i 0.212510 + 0.400836i
\(101\) 0.951898 + 3.42843i 0.0947174 + 0.341141i 0.995691 0.0927325i \(-0.0295601\pi\)
−0.900974 + 0.433874i \(0.857146\pi\)
\(102\) −0.529150 0.501238i −0.0523937 0.0496299i
\(103\) 3.11965 + 7.82974i 0.307388 + 0.771487i 0.998798 + 0.0490235i \(0.0156109\pi\)
−0.691409 + 0.722463i \(0.743010\pi\)
\(104\) −3.20861 + 1.08111i −0.314630 + 0.106011i
\(105\) −9.71821 + 1.05692i −0.948400 + 0.103145i
\(106\) 10.1020 + 4.67368i 0.981193 + 0.453948i
\(107\) −0.0417949 + 0.0395902i −0.00404047 + 0.00382733i −0.689717 0.724079i \(-0.742265\pi\)
0.685677 + 0.727906i \(0.259506\pi\)
\(108\) 0.856857 + 0.515554i 0.0824511 + 0.0496092i
\(109\) −2.48575 0.270342i −0.238092 0.0258940i −0.0117048 0.999931i \(-0.503726\pi\)
−0.226387 + 0.974037i \(0.572691\pi\)
\(110\) −0.360732 + 0.0794031i −0.0343944 + 0.00757079i
\(111\) 0.957657 3.44917i 0.0908968 0.327381i
\(112\) 2.71235 1.63197i 0.256293 0.154206i
\(113\) −15.0748 + 6.97434i −1.41812 + 0.656090i −0.971152 0.238462i \(-0.923357\pi\)
−0.446964 + 0.894552i \(0.647495\pi\)
\(114\) 0.859882 2.15814i 0.0805353 0.202128i
\(115\) −0.166978 + 3.07972i −0.0155708 + 0.287186i
\(116\) 2.24514 + 3.31133i 0.208456 + 0.307449i
\(117\) −3.38585 −0.313022
\(118\) −0.722169 7.64712i −0.0664811 0.703975i
\(119\) −2.30719 −0.211499
\(120\) −1.73305 2.55605i −0.158205 0.233334i
\(121\) −0.594753 + 10.9696i −0.0540685 + 0.997235i
\(122\) 4.22638 10.6074i 0.382638 0.960349i
\(123\) −1.53616 + 0.710704i −0.138511 + 0.0640820i
\(124\) 3.15300 1.89710i 0.283148 0.170364i
\(125\) −0.382649 + 1.37818i −0.0342251 + 0.123268i
\(126\) 3.09146 0.680481i 0.275409 0.0606221i
\(127\) −19.7057 2.14313i −1.74860 0.190172i −0.822838 0.568276i \(-0.807611\pi\)
−0.925763 + 0.378104i \(0.876576\pi\)
\(128\) 0.856857 + 0.515554i 0.0757362 + 0.0455690i
\(129\) 8.88807 8.41923i 0.782551 0.741272i
\(130\) 9.48971 + 4.39041i 0.832303 + 0.385064i
\(131\) 7.16705 0.779464i 0.626188 0.0681021i 0.210477 0.977599i \(-0.432498\pi\)
0.415711 + 0.909497i \(0.363533\pi\)
\(132\) 0.113346 0.0381907i 0.00986549 0.00332407i
\(133\) −2.72192 6.83152i −0.236021 0.592368i
\(134\) 9.29457 + 8.80428i 0.802929 + 0.760574i
\(135\) −0.826175 2.97561i −0.0711058 0.256100i
\(136\) −0.341405 0.643958i −0.0292752 0.0552190i
\(137\) 6.83109 5.19286i 0.583619 0.443656i −0.271243 0.962511i \(-0.587435\pi\)
0.854862 + 0.518855i \(0.173642\pi\)
\(138\) −0.0540700 0.997262i −0.00460274 0.0848926i
\(139\) −3.30722 1.11433i −0.280514 0.0945163i 0.175528 0.984474i \(-0.443837\pi\)
−0.456042 + 0.889958i \(0.650733\pi\)
\(140\) −9.54697 2.10145i −0.806866 0.177605i
\(141\) −4.80065 + 9.05499i −0.404288 + 0.762567i
\(142\) 1.63418 + 9.96807i 0.137137 + 0.836501i
\(143\) −0.262173 + 0.308654i −0.0219240 + 0.0258109i
\(144\) 0.647386 + 0.762162i 0.0539489 + 0.0635135i
\(145\) 1.99879 12.1921i 0.165991 1.01250i
\(146\) 7.62104 + 5.79337i 0.630722 + 0.479462i
\(147\) 1.69488 2.49975i 0.139791 0.206176i
\(148\) 2.00885 2.96284i 0.165127 0.243544i
\(149\) −10.0025 7.60367i −0.819433 0.622917i 0.109157 0.994025i \(-0.465185\pi\)
−0.928590 + 0.371108i \(0.878978\pi\)
\(150\) −0.733980 + 4.47708i −0.0599292 + 0.365552i
\(151\) 8.09423 + 9.52926i 0.658699 + 0.775481i 0.985511 0.169609i \(-0.0542504\pi\)
−0.326812 + 0.945089i \(0.605975\pi\)
\(152\) 1.50397 1.77061i 0.121988 0.143615i
\(153\) −0.117917 0.719260i −0.00953300 0.0581487i
\(154\) 0.177345 0.334508i 0.0142909 0.0269554i
\(155\) −11.0980 2.44285i −0.891411 0.196214i
\(156\) −3.20861 1.08111i −0.256895 0.0865579i
\(157\) 0.181092 + 3.34004i 0.0144527 + 0.266564i 0.996825 + 0.0796276i \(0.0253731\pi\)
−0.982372 + 0.186937i \(0.940144\pi\)
\(158\) 7.64914 5.81473i 0.608533 0.462595i
\(159\) 5.21374 + 9.83415i 0.413476 + 0.779899i
\(160\) −0.826175 2.97561i −0.0653149 0.235243i
\(161\) −2.29519 2.17412i −0.180886 0.171344i
\(162\) 0.370138 + 0.928977i 0.0290808 + 0.0729873i
\(163\) −1.88127 + 0.633873i −0.147352 + 0.0496488i −0.392011 0.919960i \(-0.628221\pi\)
0.244659 + 0.969609i \(0.421324\pi\)
\(164\) −1.68268 + 0.183002i −0.131395 + 0.0142901i
\(165\) −0.335229 0.155093i −0.0260975 0.0120740i
\(166\) 8.74478 8.28350i 0.678727 0.642924i
\(167\) −1.18680 0.714076i −0.0918377 0.0552569i 0.468894 0.883254i \(-0.344653\pi\)
−0.560732 + 0.827997i \(0.689480\pi\)
\(168\) 3.14691 + 0.342247i 0.242789 + 0.0264049i
\(169\) −1.50010 + 0.330197i −0.115392 + 0.0253997i
\(170\) −0.602167 + 2.16881i −0.0461841 + 0.166340i
\(171\) 1.99060 1.19770i 0.152225 0.0915906i
\(172\) 11.1111 5.14053i 0.847212 0.391962i
\(173\) −3.01913 + 7.57745i −0.229540 + 0.576103i −0.997960 0.0638436i \(-0.979664\pi\)
0.768420 + 0.639946i \(0.221043\pi\)
\(174\) −0.216593 + 3.99483i −0.0164199 + 0.302847i
\(175\) 8.05933 + 11.8866i 0.609228 + 0.898544i
\(176\) 0.119607 0.00901571
\(177\) 4.05293 6.52486i 0.304637 0.490438i
\(178\) −10.3620 −0.776668
\(179\) 4.67880 + 6.90071i 0.349710 + 0.515783i 0.961341 0.275359i \(-0.0887969\pi\)
−0.611632 + 0.791143i \(0.709487\pi\)
\(180\) 0.167191 3.08365i 0.0124617 0.229842i
\(181\) −7.25966 + 18.2204i −0.539606 + 1.35431i 0.366167 + 0.930549i \(0.380670\pi\)
−0.905774 + 0.423761i \(0.860710\pi\)
\(182\) −9.72720 + 4.50028i −0.721028 + 0.333583i
\(183\) 9.78392 5.88679i 0.723248 0.435164i
\(184\) 0.267188 0.962323i 0.0196973 0.0709434i
\(185\) −10.7961 + 2.37641i −0.793748 + 0.174717i
\(186\) 3.65815 + 0.397848i 0.268229 + 0.0291717i
\(187\) −0.0746982 0.0449444i −0.00546247 0.00328666i
\(188\) −7.44062 + 7.04813i −0.542663 + 0.514038i
\(189\) 2.87290 + 1.32914i 0.208973 + 0.0966810i
\(190\) −7.13221 + 0.775674i −0.517425 + 0.0562733i
\(191\) −4.37678 + 1.47471i −0.316693 + 0.106706i −0.473159 0.880977i \(-0.656886\pi\)
0.156466 + 0.987683i \(0.449990\pi\)
\(192\) 0.370138 + 0.928977i 0.0267124 + 0.0670431i
\(193\) 1.55891 + 1.47668i 0.112213 + 0.106294i 0.741749 0.670677i \(-0.233996\pi\)
−0.629536 + 0.776971i \(0.716755\pi\)
\(194\) −3.33947 12.0277i −0.239760 0.863537i
\(195\) 4.89773 + 9.23810i 0.350734 + 0.661554i
\(196\) 2.40433 1.82772i 0.171738 0.130552i
\(197\) 0.236250 + 4.35737i 0.0168321 + 0.310450i 0.994811 + 0.101744i \(0.0324423\pi\)
−0.977978 + 0.208706i \(0.933075\pi\)
\(198\) 0.113346 + 0.0381907i 0.00805514 + 0.00271409i
\(199\) −21.4051 4.71162i −1.51737 0.333998i −0.623319 0.781968i \(-0.714216\pi\)
−0.894049 + 0.447970i \(0.852147\pi\)
\(200\) −2.12510 + 4.00836i −0.150267 + 0.283434i
\(201\) 2.07122 + 12.6339i 0.146092 + 0.891124i
\(202\) −2.30348 + 2.71187i −0.162072 + 0.190806i
\(203\) 8.19854 + 9.65206i 0.575424 + 0.677442i
\(204\) 0.117917 0.719260i 0.00825582 0.0503583i
\(205\) 4.16121 + 3.16327i 0.290632 + 0.220933i
\(206\) −4.72988 + 6.97605i −0.329546 + 0.486044i
\(207\) 0.560473 0.826635i 0.0389555 0.0574551i
\(208\) −2.69545 2.04903i −0.186896 0.142075i
\(209\) 0.0449533 0.274203i 0.00310948 0.0189670i
\(210\) −6.32854 7.45053i −0.436710 0.514135i
\(211\) −7.22436 + 8.50518i −0.497346 + 0.585521i −0.952365 0.304961i \(-0.901357\pi\)
0.455019 + 0.890482i \(0.349632\pi\)
\(212\) 1.80076 + 10.9841i 0.123676 + 0.754393i
\(213\) −4.73146 + 8.92447i −0.324194 + 0.611495i
\(214\) −0.0562232 0.0123757i −0.00384334 0.000845982i
\(215\) −35.8282 12.0719i −2.44346 0.823299i
\(216\) 0.0541389 + 0.998533i 0.00368369 + 0.0679416i
\(217\) 9.27292 7.04909i 0.629487 0.478524i
\(218\) −1.17121 2.20914i −0.0793245 0.149622i
\(219\) 2.56106 + 9.22412i 0.173061 + 0.623308i
\(220\) −0.268159 0.254014i −0.0180793 0.0171256i
\(221\) 0.913434 + 2.29255i 0.0614442 + 0.154213i
\(222\) 3.39227 1.14299i 0.227674 0.0767123i
\(223\) −8.65617 + 0.941416i −0.579660 + 0.0630419i −0.393252 0.919431i \(-0.628650\pi\)
−0.186408 + 0.982472i \(0.559685\pi\)
\(224\) 2.87290 + 1.32914i 0.191954 + 0.0888072i
\(225\) −3.29373 + 3.11998i −0.219582 + 0.207999i
\(226\) −14.2324 8.56332i −0.946722 0.569624i
\(227\) 20.2049 + 2.19742i 1.34105 + 0.145848i 0.750348 0.661043i \(-0.229886\pi\)
0.590701 + 0.806890i \(0.298851\pi\)
\(228\) 2.26882 0.499406i 0.150257 0.0330740i
\(229\) 1.28396 4.62440i 0.0848464 0.305589i −0.908935 0.416938i \(-0.863103\pi\)
0.993781 + 0.111349i \(0.0355171\pi\)
\(230\) −2.64276 + 1.59010i −0.174258 + 0.104848i
\(231\) 0.343618 0.158975i 0.0226084 0.0104598i
\(232\) −1.48081 + 3.71655i −0.0972199 + 0.244004i
\(233\) 0.639427 11.7935i 0.0418903 0.772621i −0.899834 0.436233i \(-0.856312\pi\)
0.941724 0.336387i \(-0.109205\pi\)
\(234\) −1.90010 2.80243i −0.124213 0.183201i
\(235\) 31.6503 2.06464
\(236\) 5.92417 4.88920i 0.385630 0.318260i
\(237\) 9.60835 0.624130
\(238\) −1.29476 1.90963i −0.0839270 0.123783i
\(239\) −1.49506 + 27.5747i −0.0967071 + 1.78366i 0.400769 + 0.916179i \(0.368743\pi\)
−0.497476 + 0.867478i \(0.665740\pi\)
\(240\) 1.14305 2.86885i 0.0737837 0.185183i
\(241\) 11.5332 5.33584i 0.742920 0.343711i −0.0116489 0.999932i \(-0.503708\pi\)
0.754569 + 0.656221i \(0.227846\pi\)
\(242\) −9.41317 + 5.66372i −0.605102 + 0.364078i
\(243\) −0.267528 + 0.963550i −0.0171620 + 0.0618118i
\(244\) 11.1514 2.45461i 0.713896 0.157140i
\(245\) −9.27212 1.00840i −0.592374 0.0644246i
\(246\) −1.45032 0.872626i −0.0924687 0.0556366i
\(247\) −5.71053 + 5.40931i −0.363353 + 0.344186i
\(248\) 3.33963 + 1.54508i 0.212067 + 0.0981125i
\(249\) 11.9746 1.30232i 0.758861 0.0825311i
\(250\) −1.35544 + 0.456700i −0.0857254 + 0.0288843i
\(251\) 7.58146 + 19.0280i 0.478538 + 1.20104i 0.948052 + 0.318114i \(0.103050\pi\)
−0.469515 + 0.882925i \(0.655571\pi\)
\(252\) 2.29811 + 2.17689i 0.144767 + 0.137131i
\(253\) −0.0319575 0.115101i −0.00200915 0.00723631i
\(254\) −9.28476 17.5129i −0.582578 1.09886i
\(255\) −1.79189 + 1.36216i −0.112213 + 0.0853017i
\(256\) 0.0541389 + 0.998533i 0.00338368 + 0.0624083i
\(257\) 13.5302 + 4.55886i 0.843992 + 0.284374i 0.707892 0.706321i \(-0.249646\pi\)
0.136100 + 0.990695i \(0.456543\pi\)
\(258\) 11.9564 + 2.63180i 0.744371 + 0.163848i
\(259\) 5.30765 10.0113i 0.329801 0.622072i
\(260\) 1.69161 + 10.3184i 0.104909 + 0.639918i
\(261\) −2.59000 + 3.04918i −0.160317 + 0.188739i
\(262\) 4.66721 + 5.49467i 0.288341 + 0.339462i
\(263\) 5.00044 30.5013i 0.308340 1.88079i −0.144965 0.989437i \(-0.546307\pi\)
0.453305 0.891355i \(-0.350245\pi\)
\(264\) 0.0952182 + 0.0723830i 0.00586028 + 0.00445487i
\(265\) 19.2901 28.4508i 1.18498 1.74772i
\(266\) 4.12686 6.08667i 0.253034 0.373197i
\(267\) −8.24915 6.27084i −0.504840 0.383769i
\(268\) −2.07122 + 12.6339i −0.126520 + 0.771736i
\(269\) −19.5874 23.0600i −1.19426 1.40599i −0.891556 0.452911i \(-0.850386\pi\)
−0.302707 0.953084i \(-0.597890\pi\)
\(270\) 1.99924 2.35369i 0.121670 0.143241i
\(271\) −0.136034 0.829768i −0.00826345 0.0504048i 0.982373 0.186932i \(-0.0598543\pi\)
−0.990636 + 0.136527i \(0.956406\pi\)
\(272\) 0.341405 0.643958i 0.0207007 0.0390457i
\(273\) −10.4672 2.30401i −0.633505 0.139445i
\(274\) 8.13159 + 2.73985i 0.491247 + 0.165520i
\(275\) 0.0293778 + 0.541842i 0.00177155 + 0.0326743i
\(276\) 0.795080 0.604404i 0.0478582 0.0363808i
\(277\) 13.2277 + 24.9501i 0.794777 + 1.49911i 0.865109 + 0.501585i \(0.167249\pi\)
−0.0703316 + 0.997524i \(0.522406\pi\)
\(278\) −0.933648 3.36270i −0.0559965 0.201681i
\(279\) 2.67146 + 2.53055i 0.159936 + 0.151500i
\(280\) −3.61829 9.08123i −0.216234 0.542707i
\(281\) −8.99342 + 3.03023i −0.536502 + 0.180769i −0.574493 0.818509i \(-0.694801\pi\)
0.0379909 + 0.999278i \(0.487904\pi\)
\(282\) −10.1888 + 1.10810i −0.606733 + 0.0659862i
\(283\) 16.7725 + 7.75977i 0.997020 + 0.461270i 0.849386 0.527772i \(-0.176972\pi\)
0.147633 + 0.989042i \(0.452834\pi\)
\(284\) −7.33338 + 6.94654i −0.435156 + 0.412202i
\(285\) −6.14732 3.69872i −0.364136 0.219093i
\(286\) −0.402597 0.0437851i −0.0238061 0.00258907i
\(287\) −5.23260 + 1.15178i −0.308870 + 0.0679875i
\(288\) −0.267528 + 0.963550i −0.0157643 + 0.0567777i
\(289\) 14.1114 8.49053i 0.830081 0.499443i
\(290\) 11.2130 5.18767i 0.658448 0.304630i
\(291\) 4.62031 11.5961i 0.270848 0.679776i
\(292\) −0.518275 + 9.55901i −0.0303297 + 0.559399i
\(293\) −4.44406 6.55449i −0.259625 0.382918i 0.675428 0.737426i \(-0.263959\pi\)
−0.935053 + 0.354508i \(0.884648\pi\)
\(294\) 3.02016 0.176139
\(295\) −23.6654 1.61978i −1.37785 0.0943074i
\(296\) 3.57965 0.208063
\(297\) 0.0671219 + 0.0989973i 0.00389481 + 0.00574441i
\(298\) 0.680224 12.5460i 0.0394043 0.726770i
\(299\) −1.25164 + 3.14137i −0.0723841 + 0.181670i
\(300\) −4.11753 + 1.90497i −0.237726 + 0.109984i
\(301\) 33.2062 19.9795i 1.91397 1.15160i
\(302\) −3.34489 + 12.0472i −0.192477 + 0.693239i
\(303\) −3.47493 + 0.764891i −0.199630 + 0.0439418i
\(304\) 2.30952 + 0.251175i 0.132460 + 0.0144059i
\(305\) −30.2145 18.1794i −1.73008 1.04095i
\(306\) 0.529150 0.501238i 0.0302495 0.0286539i
\(307\) −4.92286 2.27756i −0.280962 0.129987i 0.274347 0.961631i \(-0.411538\pi\)
−0.555310 + 0.831644i \(0.687400\pi\)
\(308\) 0.376392 0.0409351i 0.0214469 0.00233249i
\(309\) −7.98715 + 2.69118i −0.454373 + 0.153096i
\(310\) −4.20612 10.5566i −0.238892 0.599573i
\(311\) 4.52236 + 4.28381i 0.256440 + 0.242913i 0.805109 0.593127i \(-0.202107\pi\)
−0.548669 + 0.836039i \(0.684865\pi\)
\(312\) −0.905811 3.26244i −0.0512815 0.184699i
\(313\) −14.3338 27.0365i −0.810197 1.52819i −0.848664 0.528933i \(-0.822592\pi\)
0.0384671 0.999260i \(-0.487753\pi\)
\(314\) −2.66289 + 2.02427i −0.150275 + 0.114236i
\(315\) −0.529236 9.76118i −0.0298191 0.549980i
\(316\) 9.10539 + 3.06796i 0.512218 + 0.172586i
\(317\) 0.160212 + 0.0352654i 0.00899841 + 0.00198070i 0.219467 0.975620i \(-0.429568\pi\)
−0.210469 + 0.977601i \(0.567499\pi\)
\(318\) −5.21374 + 9.83415i −0.292372 + 0.551472i
\(319\) 0.0774144 + 0.472207i 0.00433438 + 0.0264385i
\(320\) 1.99924 2.35369i 0.111761 0.131575i
\(321\) −0.0372694 0.0438770i −0.00208018 0.00244897i
\(322\) 0.511463 3.11979i 0.0285027 0.173859i
\(323\) −1.34798 1.02471i −0.0750037 0.0570163i
\(324\) −0.561187 + 0.827689i −0.0311771 + 0.0459827i
\(325\) 8.62044 12.7142i 0.478176 0.705257i
\(326\) −1.58039 1.20138i −0.0875299 0.0665385i
\(327\) 0.404521 2.46747i 0.0223701 0.136451i
\(328\) −1.09576 1.29003i −0.0605035 0.0712302i
\(329\) −21.0028 + 24.7264i −1.15792 + 1.36321i
\(330\) −0.0597570 0.364502i −0.00328952 0.0200652i
\(331\) −11.5131 + 21.7161i −0.632820 + 1.19362i 0.335057 + 0.942198i \(0.391245\pi\)
−0.967876 + 0.251427i \(0.919100\pi\)
\(332\) 11.7636 + 2.58937i 0.645613 + 0.142110i
\(333\) 3.39227 + 1.14299i 0.185895 + 0.0626353i
\(334\) −0.0749860 1.38303i −0.00410305 0.0756763i
\(335\) 31.4747 23.9264i 1.71965 1.30724i
\(336\) 1.48273 + 2.79673i 0.0808896 + 0.152574i
\(337\) 1.55025 + 5.58351i 0.0844477 + 0.304153i 0.993697 0.112099i \(-0.0357573\pi\)
−0.909249 + 0.416252i \(0.863343\pi\)
\(338\) −1.11514 1.05631i −0.0606554 0.0574558i
\(339\) −6.14798 15.4303i −0.333912 0.838056i
\(340\) −2.13303 + 0.718701i −0.115680 + 0.0389771i
\(341\) 0.437541 0.0475854i 0.0236942 0.00257689i
\(342\) 2.10842 + 0.975460i 0.114010 + 0.0527468i
\(343\) −9.14612 + 8.66366i −0.493844 + 0.467794i
\(344\) 10.4902 + 6.31172i 0.565591 + 0.340305i
\(345\) −3.06617 0.333466i −0.165077 0.0179532i
\(346\) −7.96607 + 1.75346i −0.428258 + 0.0942668i
\(347\) 6.15271 22.1600i 0.330295 1.18961i −0.592899 0.805277i \(-0.702017\pi\)
0.923193 0.384336i \(-0.125570\pi\)
\(348\) −3.42802 + 2.06257i −0.183761 + 0.110566i
\(349\) 14.8615 6.87565i 0.795517 0.368045i 0.0203429 0.999793i \(-0.493524\pi\)
0.775174 + 0.631748i \(0.217662\pi\)
\(350\) −5.31563 + 13.3412i −0.284133 + 0.713119i
\(351\) 0.183306 3.38089i 0.00978417 0.180458i
\(352\) 0.0671219 + 0.0989973i 0.00357761 + 0.00527658i
\(353\) −26.9989 −1.43701 −0.718503 0.695524i \(-0.755172\pi\)
−0.718503 + 0.695524i \(0.755172\pi\)
\(354\) 7.67500 0.307103i 0.407922 0.0163224i
\(355\) 31.1941 1.65561
\(356\) −5.81504 8.57655i −0.308197 0.454556i
\(357\) 0.124909 2.30380i 0.00661086 0.121930i
\(358\) −3.08596 + 7.74518i −0.163098 + 0.409345i
\(359\) −6.60833 + 3.05734i −0.348774 + 0.161360i −0.586452 0.809984i \(-0.699476\pi\)
0.237678 + 0.971344i \(0.423614\pi\)
\(360\) 2.64613 1.59212i 0.139463 0.0839122i
\(361\) −3.63920 + 13.1072i −0.191537 + 0.689853i
\(362\) −19.1548 + 4.21630i −1.00676 + 0.221604i
\(363\) −10.9213 1.18776i −0.573219 0.0623414i
\(364\) −9.18362 5.52560i −0.481352 0.289620i
\(365\) 21.4628 20.3307i 1.12342 1.06416i
\(366\) 10.3630 + 4.79445i 0.541685 + 0.250610i
\(367\) −13.0412 + 1.41832i −0.680747 + 0.0740356i −0.441958 0.897036i \(-0.645716\pi\)
−0.238789 + 0.971072i \(0.576750\pi\)
\(368\) 0.946447 0.318895i 0.0493370 0.0166236i
\(369\) −0.626495 1.57238i −0.0326140 0.0818551i
\(370\) −8.02558 7.60224i −0.417230 0.395221i
\(371\) 9.42609 + 33.9497i 0.489378 + 1.76258i
\(372\) 1.72361 + 3.25108i 0.0893652 + 0.168561i
\(373\) −16.3042 + 12.3941i −0.844197 + 0.641742i −0.935204 0.354108i \(-0.884784\pi\)
0.0910074 + 0.995850i \(0.470991\pi\)
\(374\) −0.00471966 0.0870491i −0.000244048 0.00450120i
\(375\) −1.35544 0.456700i −0.0699945 0.0235839i
\(376\) −10.0092 2.20320i −0.516187 0.113621i
\(377\) 6.34495 11.9678i 0.326781 0.616375i
\(378\) 0.512115 + 3.12376i 0.0263404 + 0.160669i
\(379\) 4.16145 4.89924i 0.213760 0.251657i −0.644824 0.764331i \(-0.723069\pi\)
0.858583 + 0.512674i \(0.171345\pi\)
\(380\) −4.64452 5.46795i −0.238259 0.280500i
\(381\) 3.20683 19.5608i 0.164291 1.00213i
\(382\) −3.67679 2.79502i −0.188121 0.143006i
\(383\) 8.58967 12.6688i 0.438912 0.647347i −0.542321 0.840171i \(-0.682454\pi\)
0.981233 + 0.192825i \(0.0617648\pi\)
\(384\) −0.561187 + 0.827689i −0.0286380 + 0.0422378i
\(385\) −0.930808 0.707581i −0.0474383 0.0360617i
\(386\) −0.347391 + 2.11899i −0.0176817 + 0.107854i
\(387\) 7.92569 + 9.33084i 0.402885 + 0.474313i
\(388\) 8.08111 9.51382i 0.410256 0.482991i
\(389\) 4.56526 + 27.8468i 0.231468 + 1.41189i 0.805275 + 0.592901i \(0.202017\pi\)
−0.573807 + 0.818990i \(0.694534\pi\)
\(390\) −4.89773 + 9.23810i −0.248006 + 0.467789i
\(391\) −0.710915 0.156484i −0.0359525 0.00791375i
\(392\) 2.86207 + 0.964342i 0.144556 + 0.0487066i
\(393\) 0.390304 + 7.19874i 0.0196883 + 0.363129i
\(394\) −3.47397 + 2.64084i −0.175016 + 0.133044i
\(395\) −13.8988 26.2158i −0.699322 1.31906i
\(396\) 0.0319982 + 0.115247i 0.00160797 + 0.00579139i
\(397\) 24.2152 + 22.9378i 1.21532 + 1.15122i 0.983968 + 0.178347i \(0.0570748\pi\)
0.231356 + 0.972869i \(0.425684\pi\)
\(398\) −8.11251 20.3609i −0.406643 1.02060i
\(399\) 6.96886 2.34808i 0.348879 0.117551i
\(400\) −4.51025 + 0.490519i −0.225512 + 0.0245260i
\(401\) 29.0763 + 13.4521i 1.45200 + 0.671767i 0.977971 0.208743i \(-0.0669371\pi\)
0.474029 + 0.880509i \(0.342799\pi\)
\(402\) −9.29457 + 8.80428i −0.463571 + 0.439118i
\(403\) −10.6756 6.42329i −0.531789 0.319967i
\(404\) −3.53726 0.384701i −0.175985 0.0191396i
\(405\) 3.01598 0.663867i 0.149865 0.0329878i
\(406\) −3.38799 + 12.2025i −0.168143 + 0.605597i
\(407\) 0.366864 0.220735i 0.0181848 0.0109414i
\(408\) 0.661497 0.306041i 0.0327490 0.0151513i
\(409\) 12.3143 30.9065i 0.608901 1.52823i −0.223875 0.974618i \(-0.571871\pi\)
0.832776 0.553610i \(-0.186750\pi\)
\(410\) −0.282987 + 5.21938i −0.0139757 + 0.257767i
\(411\) 4.81541 + 7.10220i 0.237527 + 0.350326i
\(412\) −8.42835 −0.415235
\(413\) 16.9695 17.4134i 0.835014 0.856856i
\(414\) 0.998727 0.0490848
\(415\) −20.8749 30.7882i −1.02471 1.51133i
\(416\) 0.183306 3.38089i 0.00898733 0.165762i
\(417\) 1.29175 3.24204i 0.0632571 0.158763i
\(418\) 0.252182 0.116672i 0.0123346 0.00570660i
\(419\) 12.4354 7.48216i 0.607511 0.365527i −0.178316 0.983973i \(-0.557065\pi\)
0.785827 + 0.618446i \(0.212237\pi\)
\(420\) 2.61523 9.41920i 0.127610 0.459610i
\(421\) −29.7879 + 6.55681i −1.45177 + 0.319559i −0.869701 0.493579i \(-0.835689\pi\)
−0.582071 + 0.813138i \(0.697758\pi\)
\(422\) −11.0939 1.20653i −0.540041 0.0587330i
\(423\) −8.78180 5.28384i −0.426986 0.256909i
\(424\) −8.08088 + 7.65461i −0.392442 + 0.371741i
\(425\) 3.00111 + 1.38846i 0.145575 + 0.0673502i
\(426\) −10.0419 + 1.09212i −0.486533 + 0.0529136i
\(427\) 34.2524 11.5410i 1.65759 0.558507i
\(428\) −0.0213085 0.0534803i −0.00102999 0.00258507i
\(429\) −0.294007 0.278499i −0.0141948 0.0134460i
\(430\) −10.1145 36.4292i −0.487766 1.75677i
\(431\) −12.5218 23.6185i −0.603152 1.13767i −0.977611 0.210422i \(-0.932516\pi\)
0.374459 0.927244i \(-0.377829\pi\)
\(432\) −0.796093 + 0.605174i −0.0383020 + 0.0291165i
\(433\) 0.381478 + 7.03594i 0.0183327 + 0.338126i 0.993284 + 0.115706i \(0.0369129\pi\)
−0.974951 + 0.222420i \(0.928604\pi\)
\(434\) 11.0383 + 3.71924i 0.529855 + 0.178529i
\(435\) 12.0660 + 2.65593i 0.578521 + 0.127342i
\(436\) 1.17121 2.20914i 0.0560909 0.105799i
\(437\) −0.375363 2.28962i −0.0179561 0.109527i
\(438\) −6.19746 + 7.29622i −0.296126 + 0.348627i
\(439\) −21.9061 25.7898i −1.04552 1.23088i −0.972342 0.233562i \(-0.924962\pi\)
−0.0731776 0.997319i \(-0.523314\pi\)
\(440\) 0.0597570 0.364502i 0.00284880 0.0173769i
\(441\) 2.40433 + 1.82772i 0.114492 + 0.0870345i
\(442\) −1.38491 + 2.04259i −0.0658733 + 0.0971559i
\(443\) 7.00198 10.3271i 0.332674 0.490657i −0.624158 0.781298i \(-0.714558\pi\)
0.956832 + 0.290640i \(0.0938683\pi\)
\(444\) 2.84973 + 2.16631i 0.135242 + 0.102809i
\(445\) −5.17700 + 31.5783i −0.245413 + 1.49695i
\(446\) −5.63693 6.63631i −0.266916 0.314238i
\(447\) 8.13404 9.57613i 0.384727 0.452935i
\(448\) 0.512115 + 3.12376i 0.0241952 + 0.147584i
\(449\) −8.00625 + 15.1014i −0.377838 + 0.712679i −0.997384 0.0722816i \(-0.976972\pi\)
0.619546 + 0.784960i \(0.287317\pi\)
\(450\) −4.43077 0.975287i −0.208869 0.0459755i
\(451\) −0.191849 0.0646415i −0.00903382 0.00304385i
\(452\) −0.899244 16.5856i −0.0422969 0.780120i
\(453\) −9.95350 + 7.56646i −0.467656 + 0.355503i
\(454\) 9.51997 + 17.9566i 0.446795 + 0.842744i
\(455\) 8.85477 + 31.8920i 0.415118 + 1.49512i
\(456\) 1.68659 + 1.59762i 0.0789817 + 0.0748154i
\(457\) 6.73452 + 16.9024i 0.315027 + 0.790659i 0.998176 + 0.0603792i \(0.0192310\pi\)
−0.683148 + 0.730280i \(0.739390\pi\)
\(458\) 4.54811 1.53244i 0.212519 0.0716060i
\(459\) 0.724589 0.0788038i 0.0338209 0.00367825i
\(460\) −2.79919 1.29504i −0.130513 0.0603816i
\(461\) 11.4618 10.8572i 0.533831 0.505671i −0.372619 0.927984i \(-0.621540\pi\)
0.906450 + 0.422313i \(0.138782\pi\)
\(462\) 0.324416 + 0.195195i 0.0150932 + 0.00908127i
\(463\) −21.9309 2.38513i −1.01922 0.110846i −0.416775 0.909010i \(-0.636840\pi\)
−0.602441 + 0.798163i \(0.705805\pi\)
\(464\) −3.90716 + 0.860031i −0.181385 + 0.0399259i
\(465\) 3.04010 10.9494i 0.140981 0.507768i
\(466\) 10.1202 6.08914i 0.468810 0.282074i
\(467\) 20.2018 9.34633i 0.934826 0.432497i 0.107491 0.994206i \(-0.465718\pi\)
0.827335 + 0.561709i \(0.189856\pi\)
\(468\) 1.25323 3.14538i 0.0579307 0.145395i
\(469\) −2.19403 + 40.4665i −0.101311 + 1.86857i
\(470\) 17.7617 + 26.1966i 0.819288 + 1.20836i
\(471\) −3.34495 −0.154127
\(472\) 7.37130 + 2.15961i 0.339292 + 0.0994042i
\(473\) 1.46430 0.0673286
\(474\) 5.39208 + 7.95273i 0.247667 + 0.365281i
\(475\) −0.570608 + 10.5243i −0.0261813 + 0.482886i
\(476\) 0.853977 2.14332i 0.0391420 0.0982390i
\(477\) −10.1020 + 4.67368i −0.462539 + 0.213993i
\(478\) −23.6623 + 14.2371i −1.08229 + 0.651190i
\(479\) 0.366107 1.31860i 0.0167279 0.0602483i −0.954715 0.297522i \(-0.903840\pi\)
0.971443 + 0.237273i \(0.0762537\pi\)
\(480\) 3.01598 0.663867i 0.137660 0.0303012i
\(481\) −12.0491 1.31042i −0.549392 0.0597500i
\(482\) 10.8887 + 6.55152i 0.495967 + 0.298413i
\(483\) 2.29519 2.17412i 0.104435 0.0989257i
\(484\) −9.97035 4.61277i −0.453198 0.209672i
\(485\) −38.3227 + 4.16785i −1.74015 + 0.189252i
\(486\) −0.947653 + 0.319302i −0.0429864 + 0.0144838i
\(487\) −2.10928 5.29389i −0.0955805 0.239889i 0.873411 0.486984i \(-0.161903\pi\)
−0.968991 + 0.247096i \(0.920524\pi\)
\(488\) 8.28969 + 7.85241i 0.375257 + 0.355462i
\(489\) −0.531094 1.91283i −0.0240169 0.0865010i
\(490\) −4.36875 8.24034i −0.197360 0.372261i
\(491\) 11.3299 8.61277i 0.511311 0.388689i −0.317464 0.948270i \(-0.602831\pi\)
0.828775 + 0.559582i \(0.189038\pi\)
\(492\) −0.0916354 1.69012i −0.00413124 0.0761963i
\(493\) 2.76331 + 0.931068i 0.124453 + 0.0419332i
\(494\) −7.68190 1.69091i −0.345625 0.0760778i
\(495\) 0.173015 0.326341i 0.00777644 0.0146679i
\(496\) 0.595313 + 3.63125i 0.0267304 + 0.163048i
\(497\) −20.7000 + 24.3700i −0.928523 + 1.09314i
\(498\) 7.79792 + 9.18042i 0.349433 + 0.411384i
\(499\) −6.38476 + 38.9453i −0.285821 + 1.74343i 0.319623 + 0.947545i \(0.396444\pi\)
−0.605444 + 0.795888i \(0.707004\pi\)
\(500\) −1.13866 0.865587i −0.0509224 0.0387102i
\(501\) 0.777281 1.14640i 0.0347264 0.0512176i
\(502\) −11.4947 + 16.9534i −0.513033 + 0.756666i
\(503\) 4.96122 + 3.77142i 0.221210 + 0.168160i 0.709910 0.704292i \(-0.248736\pi\)
−0.488700 + 0.872452i \(0.662529\pi\)
\(504\) −0.512115 + 3.12376i −0.0228114 + 0.139143i
\(505\) 7.11355 + 8.37472i 0.316549 + 0.372670i
\(506\) 0.0773333 0.0910438i 0.00343789 0.00404739i
\(507\) −0.248499 1.51577i −0.0110362 0.0673179i
\(508\) 9.28476 17.5129i 0.411945 0.777010i
\(509\) 25.3126 + 5.57172i 1.12196 + 0.246962i 0.736948 0.675949i \(-0.236266\pi\)
0.385013 + 0.922911i \(0.374197\pi\)
\(510\) −2.13303 0.718701i −0.0944522 0.0318246i
\(511\) 1.64058 + 30.2587i 0.0725750 + 1.33857i
\(512\) −0.796093 + 0.605174i −0.0351827 + 0.0267452i
\(513\) 1.08818 + 2.05252i 0.0480442 + 0.0906210i
\(514\) 3.81967 + 13.7572i 0.168478 + 0.606804i
\(515\) 18.8964 + 17.8996i 0.832674 + 0.788751i
\(516\) 4.53145 + 11.3731i 0.199486 + 0.500672i
\(517\) −1.16167 + 0.391411i −0.0510900 + 0.0172142i
\(518\) 11.2648 1.22512i 0.494948 0.0538288i
\(519\) −7.40288 3.42494i −0.324950 0.150338i
\(520\) −7.59109 + 7.19066i −0.332891 + 0.315331i
\(521\) 33.2019 + 19.9769i 1.45460 + 0.875206i 0.999881 0.0154279i \(-0.00491104\pi\)
0.454722 + 0.890633i \(0.349739\pi\)
\(522\) −3.97724 0.432551i −0.174079 0.0189323i
\(523\) −41.1608 + 9.06017i −1.79983 + 0.396174i −0.983427 0.181303i \(-0.941969\pi\)
−0.816407 + 0.577477i \(0.804037\pi\)
\(524\) −1.92870 + 6.94654i −0.0842555 + 0.303461i
\(525\) −12.3055 + 7.40398i −0.537056 + 0.323136i
\(526\) 28.0518 12.9781i 1.22312 0.565874i
\(527\) 0.992715 2.49153i 0.0432433 0.108533i
\(528\) −0.00647539 + 0.119432i −0.000281805 + 0.00519759i
\(529\) 12.3475 + 18.2113i 0.536850 + 0.791794i
\(530\) 34.3737 1.49310
\(531\) 6.29587 + 4.40023i 0.273217 + 0.190954i
\(532\) 7.35381 0.318828
\(533\) 3.21610 + 4.74339i 0.139305 + 0.205459i
\(534\) 0.560990 10.3468i 0.0242764 0.447752i
\(535\) −0.0658045 + 0.165157i −0.00284498 + 0.00714035i
\(536\) −11.6193 + 5.37564i −0.501875 + 0.232192i
\(537\) −7.14389 + 4.29834i −0.308282 + 0.185487i
\(538\) 8.09436 29.1532i 0.348972 1.25689i
\(539\) 0.352787 0.0776543i 0.0151956 0.00334481i
\(540\) 3.07007 + 0.333891i 0.132115 + 0.0143684i
\(541\) 6.07061 + 3.65256i 0.260996 + 0.157036i 0.640038 0.768344i \(-0.278919\pi\)
−0.379042 + 0.925380i \(0.623746\pi\)
\(542\) 0.610449 0.578248i 0.0262211 0.0248379i
\(543\) −17.8006 8.23545i −0.763898 0.353417i
\(544\) 0.724589 0.0788038i 0.0310665 0.00337869i
\(545\) −7.31750 + 2.46555i −0.313447 + 0.105613i
\(546\) −3.96706 9.95658i −0.169775 0.426102i
\(547\) −20.4718 19.3919i −0.875310 0.829137i 0.111038 0.993816i \(-0.464583\pi\)
−0.986347 + 0.164679i \(0.947341\pi\)
\(548\) 2.29560 + 8.26800i 0.0980631 + 0.353191i
\(549\) 5.34846 + 10.0883i 0.228267 + 0.430557i
\(550\) −0.431990 + 0.328390i −0.0184201 + 0.0140026i
\(551\) 0.503176 + 9.28053i 0.0214360 + 0.395364i
\(552\) 0.946447 + 0.318895i 0.0402835 + 0.0135731i
\(553\) 29.7038 + 6.53830i 1.26313 + 0.278037i
\(554\) −13.2277 + 24.9501i −0.561992 + 1.06003i
\(555\) −1.78843 10.9090i −0.0759148 0.463060i
\(556\) 2.25931 2.65987i 0.0958163 0.112804i
\(557\) −13.4727 15.8613i −0.570858 0.672067i 0.398656 0.917101i \(-0.369477\pi\)
−0.969514 + 0.245034i \(0.921201\pi\)
\(558\) −0.595313 + 3.63125i −0.0252016 + 0.153723i
\(559\) −32.9993 25.0855i −1.39572 1.06100i
\(560\) 5.48589 8.09109i 0.231821 0.341911i
\(561\) 0.0489226 0.0721554i 0.00206551 0.00304640i
\(562\) −7.55508 5.74322i −0.318692 0.242263i
\(563\) −1.84713 + 11.2670i −0.0778474 + 0.474848i 0.918916 + 0.394454i \(0.129066\pi\)
−0.996763 + 0.0803944i \(0.974382\pi\)
\(564\) −6.63497 7.81129i −0.279383 0.328915i
\(565\) −33.2073 + 39.0947i −1.39704 + 1.64473i
\(566\) 2.98982 + 18.2371i 0.125671 + 0.766561i
\(567\) −1.48273 + 2.79673i −0.0622688 + 0.117451i
\(568\) −9.86497 2.17144i −0.413925 0.0911118i
\(569\) −3.37342 1.13664i −0.141421 0.0476503i 0.247701 0.968837i \(-0.420325\pi\)
−0.389122 + 0.921186i \(0.627222\pi\)
\(570\) −0.388407 7.16374i −0.0162686 0.300056i
\(571\) −5.24497 + 3.98712i −0.219495 + 0.166856i −0.709144 0.705064i \(-0.750918\pi\)
0.489648 + 0.871920i \(0.337125\pi\)
\(572\) −0.189692 0.357797i −0.00793142 0.0149602i
\(573\) −1.23559 4.45020i −0.0516176 0.185910i
\(574\) −3.88978 3.68460i −0.162356 0.153792i
\(575\) 1.67712 + 4.20926i 0.0699408 + 0.175538i
\(576\) −0.947653 + 0.319302i −0.0394855 + 0.0133042i
\(577\) 34.8672 3.79204i 1.45154 0.157865i 0.651883 0.758319i \(-0.273979\pi\)
0.799659 + 0.600455i \(0.205014\pi\)
\(578\) 14.9466 + 6.91505i 0.621698 + 0.287628i
\(579\) −1.55891 + 1.47668i −0.0647862 + 0.0613688i
\(580\) 10.5863 + 6.36959i 0.439574 + 0.264483i
\(581\) 37.9052 + 4.12244i 1.57257 + 0.171028i
\(582\) 12.1908 2.68341i 0.505326 0.111231i
\(583\) −0.356165 + 1.28279i −0.0147508 + 0.0531277i
\(584\) −8.20274 + 4.93542i −0.339432 + 0.204229i
\(585\) −9.48971 + 4.39041i −0.392351 + 0.181521i
\(586\) 2.93113 7.35659i 0.121084 0.303898i
\(587\) 1.73389 31.9796i 0.0715651 1.31994i −0.713556 0.700598i \(-0.752917\pi\)
0.785121 0.619342i \(-0.212601\pi\)
\(588\) 1.69488 + 2.49975i 0.0698955 + 0.103088i
\(589\) 8.54851 0.352235
\(590\) −11.9400 20.4966i −0.491563 0.843831i
\(591\) −4.36377 −0.179502
\(592\) 2.00885 + 2.96284i 0.0825633 + 0.121772i
\(593\) −0.0547276 + 1.00939i −0.00224740 + 0.0414508i −0.999442 0.0334019i \(-0.989366\pi\)
0.997195 + 0.0748526i \(0.0238486\pi\)
\(594\) −0.0442711 + 0.111112i −0.00181646 + 0.00455898i
\(595\) −6.46648 + 2.99171i −0.265100 + 0.122648i
\(596\) 10.7659 6.47764i 0.440989 0.265334i
\(597\) 5.86356 21.1186i 0.239979 0.864328i
\(598\) −3.30248 + 0.726932i −0.135049 + 0.0297264i
\(599\) 0.820520 + 0.0892370i 0.0335256 + 0.00364612i 0.124866 0.992174i \(-0.460150\pi\)
−0.0913409 + 0.995820i \(0.529115\pi\)
\(600\) −3.88743 2.33899i −0.158704 0.0954887i
\(601\) 13.8959 13.1629i 0.566827 0.536927i −0.349720 0.936854i \(-0.613723\pi\)
0.916547 + 0.399927i \(0.130965\pi\)
\(602\) 35.1717 + 16.2722i 1.43349 + 0.663204i
\(603\) −12.7275 + 1.38420i −0.518303 + 0.0563688i
\(604\) −11.8484 + 3.99221i −0.482107 + 0.162441i
\(605\) 12.5572 + 31.5163i 0.510524 + 1.28132i
\(606\) −2.58318 2.44692i −0.104935 0.0993993i
\(607\) −0.638250 2.29877i −0.0259058 0.0933041i 0.949467 0.313867i \(-0.101624\pi\)
−0.975373 + 0.220563i \(0.929211\pi\)
\(608\) 1.08818 + 2.05252i 0.0441314 + 0.0832407i
\(609\) −10.0818 + 7.66396i −0.408534 + 0.310559i
\(610\) −1.90904 35.2103i −0.0772950 1.42562i
\(611\) 32.8846 + 11.0801i 1.33037 + 0.448253i
\(612\) 0.711821 + 0.156684i 0.0287737 + 0.00633357i
\(613\) −12.1027 + 22.8281i −0.488823 + 0.922018i 0.509289 + 0.860596i \(0.329908\pi\)
−0.998112 + 0.0614221i \(0.980436\pi\)
\(614\) −0.877535 5.35273i −0.0354145 0.216019i
\(615\) −3.38392 + 3.98386i −0.136453 + 0.160645i
\(616\) 0.245108 + 0.288563i 0.00987568 + 0.0116265i
\(617\) −5.18027 + 31.5983i −0.208550 + 1.27210i 0.650223 + 0.759743i \(0.274675\pi\)
−0.858773 + 0.512356i \(0.828773\pi\)
\(618\) −6.70975 5.10062i −0.269906 0.205177i
\(619\) 7.90926 11.6653i 0.317900 0.468868i −0.634845 0.772640i \(-0.718936\pi\)
0.952745 + 0.303772i \(0.0982462\pi\)
\(620\) 6.37713 9.40557i 0.256112 0.377737i
\(621\) 0.795080 + 0.604404i 0.0319055 + 0.0242539i
\(622\) −1.00777 + 6.14713i −0.0404079 + 0.246477i
\(623\) −21.2347 24.9994i −0.850750 1.00158i
\(624\) 2.19195 2.58057i 0.0877484 0.103305i
\(625\) 4.38450 + 26.7443i 0.175380 + 1.06977i
\(626\) 14.3338 27.0365i 0.572895 1.08060i
\(627\) 0.271367 + 0.0597324i 0.0108374 + 0.00238548i
\(628\) −3.16985 1.06805i −0.126491 0.0426197i
\(629\) −0.141252 2.60524i −0.00563209 0.103878i
\(630\) 7.78222 5.91589i 0.310051 0.235695i
\(631\) 10.0147 + 18.8898i 0.398680 + 0.751990i 0.998853 0.0478802i \(-0.0152466\pi\)
−0.600173 + 0.799870i \(0.704902\pi\)
\(632\) 2.57051 + 9.25813i 0.102249 + 0.368269i
\(633\) −8.10159 7.67423i −0.322009 0.305023i
\(634\) 0.0607202 + 0.152396i 0.00241151 + 0.00605243i
\(635\) −58.0093 + 19.5456i −2.30203 + 0.775644i
\(636\) −11.0655 + 1.20345i −0.438776 + 0.0477197i
\(637\) −9.28070 4.29371i −0.367715 0.170123i
\(638\) −0.347397 + 0.329072i −0.0137536 + 0.0130281i
\(639\) −8.65523 5.20768i −0.342396 0.206013i
\(640\) 3.07007 + 0.333891i 0.121355 + 0.0131982i
\(641\) −1.80711 + 0.397776i −0.0713766 + 0.0157112i −0.250515 0.968113i \(-0.580600\pi\)
0.179139 + 0.983824i \(0.442669\pi\)
\(642\) 0.0154014 0.0554707i 0.000607843 0.00218925i
\(643\) 25.3996 15.2824i 1.00166 0.602679i 0.0825121 0.996590i \(-0.473706\pi\)
0.919149 + 0.393911i \(0.128878\pi\)
\(644\) 2.86924 1.32745i 0.113064 0.0523089i
\(645\) 13.9939 35.1221i 0.551011 1.38293i
\(646\) 0.0916705 1.69076i 0.00360673 0.0665222i
\(647\) −15.6302 23.0529i −0.614488 0.906303i 0.385376 0.922760i \(-0.374072\pi\)
−0.999865 + 0.0164570i \(0.994761\pi\)
\(648\) −1.00000 −0.0392837
\(649\) 0.888626 0.233212i 0.0348816 0.00915438i
\(650\) 15.3611 0.602511
\(651\) 6.53673 + 9.64095i 0.256195 + 0.377859i
\(652\) 0.107476 1.98228i 0.00420908 0.0776319i
\(653\) 3.97203 9.96903i 0.155437 0.390118i −0.830549 0.556946i \(-0.811973\pi\)
0.985986 + 0.166828i \(0.0533523\pi\)
\(654\) 2.26931 1.04989i 0.0887370 0.0410541i
\(655\) 19.0768 11.4781i 0.745391 0.448487i
\(656\) 0.452818 1.63090i 0.0176796 0.0636761i
\(657\) −9.34924 + 2.05792i −0.364749 + 0.0802872i
\(658\) −32.2522 3.50764i −1.25732 0.136742i
\(659\) 10.3210 + 6.20992i 0.402048 + 0.241904i 0.702189 0.711991i \(-0.252206\pi\)
−0.300141 + 0.953895i \(0.597034\pi\)
\(660\) 0.268159 0.254014i 0.0104381 0.00988747i
\(661\) −2.99015 1.38339i −0.116303 0.0538076i 0.360875 0.932614i \(-0.382478\pi\)
−0.477178 + 0.878807i \(0.658340\pi\)
\(662\) −24.4352 + 2.65749i −0.949701 + 0.103286i
\(663\) −2.33864 + 0.787978i −0.0908251 + 0.0306025i
\(664\) 4.45840 + 11.1897i 0.173019 + 0.434246i
\(665\) −16.4873 15.6176i −0.639349 0.605623i
\(666\) 0.957657 + 3.44917i 0.0371085 + 0.133653i
\(667\) 1.87157 + 3.53016i 0.0724676 + 0.136688i
\(668\) 1.10264 0.838206i 0.0426625 0.0324312i
\(669\) −0.471399 8.69445i −0.0182253 0.336147i
\(670\) 37.4668 + 12.6240i 1.44747 + 0.487710i
\(671\) 1.33379 + 0.293589i 0.0514903 + 0.0113339i
\(672\) −1.48273 + 2.79673i −0.0571976 + 0.107886i
\(673\) −2.99669 18.2790i −0.115514 0.704604i −0.979554 0.201181i \(-0.935522\pi\)
0.864040 0.503423i \(-0.167926\pi\)
\(674\) −3.75143 + 4.41652i −0.144500 + 0.170118i
\(675\) −2.93709 3.45781i −0.113049 0.133091i
\(676\) 0.248499 1.51577i 0.00955764 0.0582990i
\(677\) −34.9129 26.5401i −1.34181 1.02002i −0.996676 0.0814668i \(-0.974040\pi\)
−0.345136 0.938553i \(-0.612167\pi\)
\(678\) 9.32129 13.7479i 0.357982 0.527984i
\(679\) 22.1744 32.7048i 0.850977 1.25510i
\(680\) −1.79189 1.36216i −0.0687158 0.0522364i
\(681\) −3.28807 + 20.0564i −0.125999 + 0.768561i
\(682\) 0.284928 + 0.335443i 0.0109105 + 0.0128448i
\(683\) 7.96059 9.37193i 0.304603 0.358607i −0.588469 0.808520i \(-0.700269\pi\)
0.893072 + 0.449913i \(0.148545\pi\)
\(684\) 0.375842 + 2.29253i 0.0143707 + 0.0876572i
\(685\) 12.4123 23.4121i 0.474250 0.894531i
\(686\) −12.3035 2.70820i −0.469750 0.103400i
\(687\) 4.54811 + 1.53244i 0.173521 + 0.0584661i
\(688\) 0.662801 + 12.2246i 0.0252690 + 0.466060i
\(689\) 30.0024 22.8072i 1.14300 0.868887i
\(690\) −1.44469 2.72497i −0.0549983 0.103738i
\(691\) −7.23351 26.0527i −0.275176 0.991093i −0.963943 0.266110i \(-0.914261\pi\)
0.688767 0.724983i \(-0.258152\pi\)
\(692\) −5.92178 5.60941i −0.225112 0.213238i
\(693\) 0.140139 + 0.351721i 0.00532342 + 0.0133608i
\(694\) 21.7944 7.34340i 0.827306 0.278752i
\(695\) −10.7143 + 1.16525i −0.406415 + 0.0442003i
\(696\) −3.63093 1.67985i −0.137630 0.0636745i
\(697\) −0.895639 + 0.848394i −0.0339248 + 0.0321352i
\(698\) 14.0310 + 8.44216i 0.531080 + 0.319540i
\(699\) 11.7416 + 1.27698i 0.444109 + 0.0482998i
\(700\) −14.0255 + 3.08724i −0.530112 + 0.116687i
\(701\) 5.75043 20.7112i 0.217191 0.782250i −0.772001 0.635621i \(-0.780744\pi\)
0.989192 0.146629i \(-0.0468422\pi\)
\(702\) 2.90119 1.74559i 0.109498 0.0658830i
\(703\) 7.54741 3.49180i 0.284656 0.131696i
\(704\) −0.0442711 + 0.111112i −0.00166853 + 0.00418769i
\(705\) −1.71351 + 31.6039i −0.0645346 + 1.19027i
\(706\) −15.1514 22.3467i −0.570231 0.841029i
\(707\) −11.2631 −0.423593
\(708\) 4.56130 + 6.18017i 0.171424 + 0.232265i
\(709\) −5.65387 −0.212336 −0.106168 0.994348i \(-0.533858\pi\)
−0.106168 + 0.994348i \(0.533858\pi\)
\(710\) 17.5057 + 25.8190i 0.656978 + 0.968970i
\(711\) −0.520186 + 9.59426i −0.0195085 + 0.359813i
\(712\) 3.83539 9.62610i 0.143737 0.360753i
\(713\) 3.33538 1.54311i 0.124911 0.0577899i
\(714\) 1.97693 1.18948i 0.0739847 0.0445151i
\(715\) −0.334577 + 1.20504i −0.0125125 + 0.0450659i
\(716\) −8.14240 + 1.79228i −0.304296 + 0.0669806i
\(717\) −27.4533 2.98572i −1.02526 0.111504i
\(718\) −6.23904 3.75390i −0.232839 0.140094i
\(719\) −34.1735 + 32.3709i −1.27446 + 1.20723i −0.307715 + 0.951479i \(0.599564\pi\)
−0.966743 + 0.255752i \(0.917677\pi\)
\(720\) 2.80275 + 1.29669i 0.104452 + 0.0483249i
\(721\) −26.5232 + 2.88457i −0.987777 + 0.107427i
\(722\) −12.8910 + 4.34347i −0.479752 + 0.161647i
\(723\) 4.70361 + 11.8052i 0.174929 + 0.439039i
\(724\) −14.2392 13.4881i −0.529197 0.501282i
\(725\) −4.85578 17.4889i −0.180339 0.649523i
\(726\) −5.14579 9.70599i −0.190978 0.360223i
\(727\) −27.3769 + 20.8114i −1.01535 + 0.771852i −0.973828 0.227286i \(-0.927015\pi\)
−0.0415256 + 0.999137i \(0.513222\pi\)
\(728\) −0.580250 10.7021i −0.0215055 0.396645i
\(729\) −0.947653 0.319302i −0.0350983 0.0118260i
\(730\) 28.8721 + 6.35523i 1.06861 + 0.235218i
\(731\) 4.17968 7.88372i 0.154591 0.291590i
\(732\) 1.84729 + 11.2680i 0.0682777 + 0.416476i
\(733\) −5.48245 + 6.45444i −0.202499 + 0.238400i −0.854032 0.520220i \(-0.825850\pi\)
0.651534 + 0.758620i \(0.274126\pi\)
\(734\) −8.49249 9.99814i −0.313464 0.369038i
\(735\) 1.50891 9.20393i 0.0556569 0.339492i
\(736\) 0.795080 + 0.604404i 0.0293070 + 0.0222786i
\(737\) −0.859329 + 1.26742i −0.0316538 + 0.0466858i
\(738\) 0.949864 1.40095i 0.0349650 0.0515695i
\(739\) 5.69252 + 4.32734i 0.209403 + 0.159184i 0.704619 0.709586i \(-0.251118\pi\)
−0.495216 + 0.868770i \(0.664911\pi\)
\(740\) 1.78843 10.9090i 0.0657441 0.401021i
\(741\) −5.09221 5.99501i −0.187067 0.220232i
\(742\) −22.8100 + 26.8540i −0.837382 + 0.985842i
\(743\) −5.66920 34.5806i −0.207983 1.26864i −0.859945 0.510387i \(-0.829502\pi\)
0.651962 0.758252i \(-0.273946\pi\)
\(744\) −1.72361 + 3.25108i −0.0631908 + 0.119190i
\(745\) −37.8940 8.34111i −1.38833 0.305595i
\(746\) −19.4081 6.53936i −0.710582 0.239423i
\(747\) 0.652116 + 12.0276i 0.0238597 + 0.440066i
\(748\) 0.0694009 0.0527572i 0.00253755 0.00192900i
\(749\) −0.0853594 0.161005i −0.00311897 0.00588299i
\(750\) −0.382649 1.37818i −0.0139724 0.0503239i
\(751\) 10.2055 + 9.66720i 0.372405 + 0.352761i 0.850898 0.525330i \(-0.176058\pi\)
−0.478493 + 0.878091i \(0.658817\pi\)
\(752\) −3.79349 9.52095i −0.138334 0.347193i
\(753\) −19.4106 + 6.54019i −0.707361 + 0.238338i
\(754\) 13.4664 1.46455i 0.490416 0.0533359i
\(755\) 35.0427 + 16.2125i 1.27533 + 0.590032i
\(756\) −2.29811 + 2.17689i −0.0835815 + 0.0791726i
\(757\) 29.0034 + 17.4508i 1.05415 + 0.634258i 0.933551 0.358443i \(-0.116692\pi\)
0.120594 + 0.992702i \(0.461520\pi\)
\(758\) 6.39040 + 0.694998i 0.232110 + 0.0252435i
\(759\) 0.116662 0.0256792i 0.00423456 0.000932097i