Properties

Label 570.2.bf.a.29.1
Level $570$
Weight $2$
Character 570.29
Analytic conductor $4.551$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.bf (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(40\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 29.1
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.70539 - 0.302753i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.247201 - 2.22236i) q^{5} +(1.73205 + 0.00201678i) q^{6} +(4.20953 + 2.43037i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.81668 + 1.03262i) q^{9} +O(q^{10})\) \(q+(-0.984808 + 0.173648i) q^{2} +(-1.70539 - 0.302753i) q^{3} +(0.939693 - 0.342020i) q^{4} +(0.247201 - 2.22236i) q^{5} +(1.73205 + 0.00201678i) q^{6} +(4.20953 + 2.43037i) q^{7} +(-0.866025 + 0.500000i) q^{8} +(2.81668 + 1.03262i) q^{9} +(0.142463 + 2.23153i) q^{10} +(-0.466984 + 0.269614i) q^{11} +(-1.70609 + 0.298781i) q^{12} +(-3.83469 - 3.21768i) q^{13} +(-4.56760 - 1.66247i) q^{14} +(-1.09440 + 3.71514i) q^{15} +(0.766044 - 0.642788i) q^{16} +(0.787939 + 4.46862i) q^{17} +(-2.95320 - 0.527823i) q^{18} +(2.88507 + 3.26747i) q^{19} +(-0.527799 - 2.17288i) q^{20} +(-6.44306 - 5.41917i) q^{21} +(0.413072 - 0.346608i) q^{22} +(3.77516 - 1.37404i) q^{23} +(1.62828 - 0.590501i) q^{24} +(-4.87778 - 1.09874i) q^{25} +(4.33517 + 2.50291i) q^{26} +(-4.49090 - 2.61378i) q^{27} +(4.78690 + 0.844059i) q^{28} +(0.161138 - 0.913858i) q^{29} +(0.432647 - 3.84874i) q^{30} +(4.96339 + 2.86561i) q^{31} +(-0.642788 + 0.766044i) q^{32} +(0.878015 - 0.318414i) q^{33} +(-1.55194 - 4.26391i) q^{34} +(6.44177 - 8.75430i) q^{35} +(2.99999 + 0.00698632i) q^{36} +8.71474 q^{37} +(-3.40863 - 2.71684i) q^{38} +(5.56546 + 6.64836i) q^{39} +(0.897098 + 2.04822i) q^{40} +(0.823031 - 0.690605i) q^{41} +(7.28621 + 4.21801i) q^{42} +(4.14232 - 11.3809i) q^{43} +(-0.346608 + 0.413072i) q^{44} +(2.99115 - 6.00442i) q^{45} +(-3.47920 + 2.00872i) q^{46} +(1.74721 - 9.90889i) q^{47} +(-1.50101 + 0.864278i) q^{48} +(8.31341 + 14.3993i) q^{49} +(4.99447 + 0.235031i) q^{50} +(0.00915125 - 7.85927i) q^{51} +(-4.70394 - 1.71209i) q^{52} +(3.29753 + 9.05989i) q^{53} +(4.87655 + 1.79423i) q^{54} +(0.483740 + 1.10446i) q^{55} -4.86074 q^{56} +(-3.93092 - 6.44576i) q^{57} +0.927955i q^{58} +(-0.0388901 - 0.220557i) q^{59} +(0.242253 + 3.86540i) q^{60} +(-2.38006 + 0.866272i) q^{61} +(-5.38559 - 1.96019i) q^{62} +(9.34724 + 11.1924i) q^{63} +(0.500000 - 0.866025i) q^{64} +(-8.09880 + 7.72665i) q^{65} +(-0.809384 + 0.466042i) q^{66} +(0.877212 - 4.97491i) q^{67} +(2.26878 + 3.92964i) q^{68} +(-6.85409 + 1.20033i) q^{69} +(-4.82373 + 9.73990i) q^{70} +(3.58325 + 1.30419i) q^{71} +(-2.95563 + 0.514063i) q^{72} +(0.384508 + 0.458239i) q^{73} +(-8.58235 + 1.51330i) q^{74} +(7.98585 + 3.35054i) q^{75} +(3.82862 + 2.08366i) q^{76} -2.62104 q^{77} +(-6.63538 - 5.58092i) q^{78} +(-3.29052 - 3.92149i) q^{79} +(-1.23914 - 1.86133i) q^{80} +(6.86738 + 5.81714i) q^{81} +(-0.690605 + 0.823031i) q^{82} +(-3.89026 + 6.73813i) q^{83} +(-7.90797 - 2.88870i) q^{84} +(10.1257 - 0.646435i) q^{85} +(-2.10311 + 11.9273i) q^{86} +(-0.551475 + 1.50969i) q^{87} +(0.269614 - 0.466984i) q^{88} +(-3.04459 - 2.55472i) q^{89} +(-1.90305 + 6.43260i) q^{90} +(-8.32205 - 22.8646i) q^{91} +(3.07754 - 2.58236i) q^{92} +(-7.59691 - 6.38966i) q^{93} +10.0618i q^{94} +(7.97469 - 5.60395i) q^{95} +(1.32812 - 1.11180i) q^{96} +(-1.78915 - 10.1468i) q^{97} +(-10.6875 - 12.7369i) q^{98} +(-1.59375 + 0.277197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + O(q^{10}) \) \( 240q - 30q^{15} + 48q^{19} + 12q^{25} - 48q^{39} + 36q^{45} - 72q^{46} + 216q^{49} - 180q^{51} + 36q^{54} + 60q^{55} + 6q^{60} - 72q^{61} + 120q^{64} - 156q^{66} + 48q^{79} - 120q^{81} - 108q^{84} - 48q^{85} - 36q^{90} - 24q^{91} - 216q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{17}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.984808 + 0.173648i −0.696364 + 0.122788i
\(3\) −1.70539 0.302753i −0.984605 0.174795i
\(4\) 0.939693 0.342020i 0.469846 0.171010i
\(5\) 0.247201 2.22236i 0.110552 0.993870i
\(6\) 1.73205 + 0.00201678i 0.707106 + 0.000823347i
\(7\) 4.20953 + 2.43037i 1.59105 + 0.918594i 0.993127 + 0.117042i \(0.0373412\pi\)
0.597925 + 0.801552i \(0.295992\pi\)
\(8\) −0.866025 + 0.500000i −0.306186 + 0.176777i
\(9\) 2.81668 + 1.03262i 0.938894 + 0.344208i
\(10\) 0.142463 + 2.23153i 0.0450509 + 0.705670i
\(11\) −0.466984 + 0.269614i −0.140801 + 0.0812915i −0.568746 0.822513i \(-0.692571\pi\)
0.427945 + 0.903805i \(0.359238\pi\)
\(12\) −1.70609 + 0.298781i −0.492505 + 0.0862507i
\(13\) −3.83469 3.21768i −1.06355 0.892425i −0.0690982 0.997610i \(-0.522012\pi\)
−0.994453 + 0.105185i \(0.966457\pi\)
\(14\) −4.56760 1.66247i −1.22074 0.444314i
\(15\) −1.09440 + 3.71514i −0.282573 + 0.959246i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) 0.787939 + 4.46862i 0.191103 + 1.08380i 0.917860 + 0.396905i \(0.129916\pi\)
−0.726757 + 0.686895i \(0.758973\pi\)
\(18\) −2.95320 0.527823i −0.696076 0.124409i
\(19\) 2.88507 + 3.26747i 0.661881 + 0.749609i
\(20\) −0.527799 2.17288i −0.118019 0.485872i
\(21\) −6.44306 5.41917i −1.40599 1.18256i
\(22\) 0.413072 0.346608i 0.0880672 0.0738972i
\(23\) 3.77516 1.37404i 0.787175 0.286508i 0.0830135 0.996548i \(-0.473546\pi\)
0.704161 + 0.710040i \(0.251323\pi\)
\(24\) 1.62828 0.590501i 0.332372 0.120535i
\(25\) −4.87778 1.09874i −0.975557 0.219748i
\(26\) 4.33517 + 2.50291i 0.850198 + 0.490862i
\(27\) −4.49090 2.61378i −0.864274 0.503022i
\(28\) 4.78690 + 0.844059i 0.904639 + 0.159512i
\(29\) 0.161138 0.913858i 0.0299225 0.169699i −0.966184 0.257852i \(-0.916985\pi\)
0.996107 + 0.0881529i \(0.0280964\pi\)
\(30\) 0.432647 3.84874i 0.0789902 0.702681i
\(31\) 4.96339 + 2.86561i 0.891450 + 0.514679i 0.874417 0.485176i \(-0.161244\pi\)
0.0170338 + 0.999855i \(0.494578\pi\)
\(32\) −0.642788 + 0.766044i −0.113630 + 0.135419i
\(33\) 0.878015 0.318414i 0.152843 0.0554288i
\(34\) −1.55194 4.26391i −0.266155 0.731254i
\(35\) 6.44177 8.75430i 1.08886 1.47975i
\(36\) 2.99999 + 0.00698632i 0.499999 + 0.00116439i
\(37\) 8.71474 1.43269 0.716347 0.697744i \(-0.245813\pi\)
0.716347 + 0.697744i \(0.245813\pi\)
\(38\) −3.40863 2.71684i −0.552953 0.440730i
\(39\) 5.56546 + 6.64836i 0.891186 + 1.06459i
\(40\) 0.897098 + 2.04822i 0.141844 + 0.323852i
\(41\) 0.823031 0.690605i 0.128536 0.107854i −0.576254 0.817271i \(-0.695486\pi\)
0.704789 + 0.709417i \(0.251041\pi\)
\(42\) 7.28621 + 4.21801i 1.12429 + 0.650854i
\(43\) 4.14232 11.3809i 0.631697 1.73557i −0.0446626 0.999002i \(-0.514221\pi\)
0.676360 0.736571i \(-0.263557\pi\)
\(44\) −0.346608 + 0.413072i −0.0522532 + 0.0622729i
\(45\) 2.99115 6.00442i 0.445894 0.895086i
\(46\) −3.47920 + 2.00872i −0.512981 + 0.296169i
\(47\) 1.74721 9.90889i 0.254856 1.44536i −0.541586 0.840645i \(-0.682176\pi\)
0.796442 0.604715i \(-0.206713\pi\)
\(48\) −1.50101 + 0.864278i −0.216652 + 0.124748i
\(49\) 8.31341 + 14.3993i 1.18763 + 2.05704i
\(50\) 4.99447 + 0.235031i 0.706325 + 0.0332384i
\(51\) 0.00915125 7.85927i 0.00128143 1.10052i
\(52\) −4.70394 1.71209i −0.652319 0.237425i
\(53\) 3.29753 + 9.05989i 0.452950 + 1.24447i 0.930638 + 0.365941i \(0.119253\pi\)
−0.477687 + 0.878530i \(0.658525\pi\)
\(54\) 4.87655 + 1.79423i 0.663614 + 0.244164i
\(55\) 0.483740 + 1.10446i 0.0652274 + 0.148925i
\(56\) −4.86074 −0.649544
\(57\) −3.93092 6.44576i −0.520663 0.853762i
\(58\) 0.927955i 0.121847i
\(59\) −0.0388901 0.220557i −0.00506306 0.0287141i 0.982172 0.187987i \(-0.0601962\pi\)
−0.987235 + 0.159273i \(0.949085\pi\)
\(60\) 0.242253 + 3.86540i 0.0312747 + 0.499021i
\(61\) −2.38006 + 0.866272i −0.304736 + 0.110915i −0.489862 0.871800i \(-0.662953\pi\)
0.185126 + 0.982715i \(0.440731\pi\)
\(62\) −5.38559 1.96019i −0.683971 0.248945i
\(63\) 9.34724 + 11.1924i 1.17764 + 1.41011i
\(64\) 0.500000 0.866025i 0.0625000 0.108253i
\(65\) −8.09880 + 7.72665i −1.00453 + 0.958373i
\(66\) −0.809384 + 0.466042i −0.0996283 + 0.0573658i
\(67\) 0.877212 4.97491i 0.107168 0.607783i −0.883164 0.469065i \(-0.844591\pi\)
0.990332 0.138717i \(-0.0442980\pi\)
\(68\) 2.26878 + 3.92964i 0.275130 + 0.476539i
\(69\) −6.85409 + 1.20033i −0.825136 + 0.144503i
\(70\) −4.82373 + 9.73990i −0.576546 + 1.16414i
\(71\) 3.58325 + 1.30419i 0.425253 + 0.154779i 0.545776 0.837931i \(-0.316235\pi\)
−0.120523 + 0.992711i \(0.538457\pi\)
\(72\) −2.95563 + 0.514063i −0.348324 + 0.0605829i
\(73\) 0.384508 + 0.458239i 0.0450033 + 0.0536328i 0.788077 0.615577i \(-0.211077\pi\)
−0.743073 + 0.669210i \(0.766633\pi\)
\(74\) −8.58235 + 1.51330i −0.997678 + 0.175917i
\(75\) 7.98585 + 3.35054i 0.922127 + 0.386887i
\(76\) 3.82862 + 2.08366i 0.439173 + 0.239013i
\(77\) −2.62104 −0.298696
\(78\) −6.63538 5.58092i −0.751309 0.631915i
\(79\) −3.29052 3.92149i −0.370213 0.441202i 0.548487 0.836159i \(-0.315204\pi\)
−0.918700 + 0.394957i \(0.870760\pi\)
\(80\) −1.23914 1.86133i −0.138540 0.208103i
\(81\) 6.86738 + 5.81714i 0.763042 + 0.646349i
\(82\) −0.690605 + 0.823031i −0.0762646 + 0.0908886i
\(83\) −3.89026 + 6.73813i −0.427012 + 0.739606i −0.996606 0.0823202i \(-0.973767\pi\)
0.569594 + 0.821926i \(0.307100\pi\)
\(84\) −7.90797 2.88870i −0.862830 0.315183i
\(85\) 10.1257 0.646435i 1.09828 0.0701158i
\(86\) −2.10311 + 11.9273i −0.226784 + 1.28616i
\(87\) −0.551475 + 1.50969i −0.0591244 + 0.161856i
\(88\) 0.269614 0.466984i 0.0287409 0.0497807i
\(89\) −3.04459 2.55472i −0.322726 0.270799i 0.467002 0.884256i \(-0.345334\pi\)
−0.789728 + 0.613457i \(0.789778\pi\)
\(90\) −1.90305 + 6.43260i −0.200599 + 0.678056i
\(91\) −8.32205 22.8646i −0.872388 2.39687i
\(92\) 3.07754 2.58236i 0.320855 0.269230i
\(93\) −7.59691 6.38966i −0.787763 0.662576i
\(94\) 10.0618i 1.03779i
\(95\) 7.97469 5.60395i 0.818186 0.574953i
\(96\) 1.32812 1.11180i 0.135551 0.113472i
\(97\) −1.78915 10.1468i −0.181661 1.03025i −0.930171 0.367126i \(-0.880342\pi\)
0.748510 0.663123i \(-0.230769\pi\)
\(98\) −10.6875 12.7369i −1.07960 1.28662i
\(99\) −1.59375 + 0.277197i −0.160178 + 0.0278593i
\(100\) −4.95941 + 0.635821i −0.495941 + 0.0635821i
\(101\) 6.78906 8.09089i 0.675537 0.805073i −0.313990 0.949426i \(-0.601666\pi\)
0.989526 + 0.144353i \(0.0461102\pi\)
\(102\) 1.35574 + 7.74146i 0.134238 + 0.766519i
\(103\) 0.593156 + 1.02738i 0.0584454 + 0.101230i 0.893768 0.448530i \(-0.148052\pi\)
−0.835322 + 0.549760i \(0.814719\pi\)
\(104\) 4.92978 + 0.869253i 0.483405 + 0.0852373i
\(105\) −13.6361 + 12.9792i −1.33075 + 1.26664i
\(106\) −4.82066 8.34964i −0.468224 0.810988i
\(107\) 4.66124 + 2.69117i 0.450619 + 0.260165i 0.708092 0.706121i \(-0.249556\pi\)
−0.257473 + 0.966286i \(0.582890\pi\)
\(108\) −5.11403 0.920172i −0.492098 0.0885436i
\(109\) 2.57506 7.07493i 0.246646 0.677655i −0.753157 0.657840i \(-0.771470\pi\)
0.999804 0.0198148i \(-0.00630766\pi\)
\(110\) −0.668178 1.00368i −0.0637082 0.0956969i
\(111\) −14.8620 2.63842i −1.41064 0.250428i
\(112\) 4.78690 0.844059i 0.452319 0.0797561i
\(113\) 8.06127i 0.758341i −0.925327 0.379170i \(-0.876209\pi\)
0.925327 0.379170i \(-0.123791\pi\)
\(114\) 4.99050 + 5.66524i 0.467403 + 0.530598i
\(115\) −2.12040 8.72943i −0.197728 0.814023i
\(116\) −0.161138 0.913858i −0.0149613 0.0848495i
\(117\) −7.47844 13.0230i −0.691382 1.20397i
\(118\) 0.0765986 + 0.210453i 0.00705147 + 0.0193738i
\(119\) −7.54356 + 20.7258i −0.691517 + 1.89993i
\(120\) −0.909792 3.76461i −0.0830523 0.343660i
\(121\) −5.35462 + 9.27447i −0.486783 + 0.843134i
\(122\) 2.19348 1.26640i 0.198588 0.114655i
\(123\) −1.61267 + 0.928572i −0.145409 + 0.0837266i
\(124\) 5.64415 + 0.995217i 0.506860 + 0.0893731i
\(125\) −3.64759 + 10.5686i −0.326251 + 0.945283i
\(126\) −11.1488 9.39927i −0.993212 0.837353i
\(127\) 6.35838 + 5.33532i 0.564215 + 0.473433i 0.879721 0.475491i \(-0.157730\pi\)
−0.315505 + 0.948924i \(0.602174\pi\)
\(128\) −0.342020 + 0.939693i −0.0302306 + 0.0830579i
\(129\) −10.5099 + 18.1548i −0.925341 + 1.59844i
\(130\) 6.63404 9.01560i 0.581844 0.790721i
\(131\) −9.56309 + 1.68623i −0.835531 + 0.147327i −0.575015 0.818143i \(-0.695004\pi\)
−0.260516 + 0.965470i \(0.583893\pi\)
\(132\) 0.716160 0.599510i 0.0623337 0.0521807i
\(133\) 4.20362 + 20.7663i 0.364500 + 1.80067i
\(134\) 5.05166i 0.436397i
\(135\) −6.91892 + 9.33427i −0.595486 + 0.803366i
\(136\) −2.91669 3.47597i −0.250104 0.298062i
\(137\) −15.6459 + 5.69464i −1.33672 + 0.486526i −0.908778 0.417281i \(-0.862983\pi\)
−0.427941 + 0.903807i \(0.640761\pi\)
\(138\) 6.54153 2.37230i 0.556852 0.201944i
\(139\) 5.63695 + 4.72996i 0.478120 + 0.401190i 0.849746 0.527192i \(-0.176755\pi\)
−0.371626 + 0.928383i \(0.621200\pi\)
\(140\) 3.05913 10.4296i 0.258544 0.881459i
\(141\) −5.97961 + 16.3695i −0.503574 + 1.37856i
\(142\) −3.75528 0.662157i −0.315136 0.0555670i
\(143\) 2.65827 + 0.468725i 0.222296 + 0.0391967i
\(144\) 2.82146 1.01949i 0.235122 0.0849577i
\(145\) −1.99109 0.584013i −0.165351 0.0484997i
\(146\) −0.458239 0.384508i −0.0379241 0.0318221i
\(147\) −9.81815 27.0732i −0.809788 2.23296i
\(148\) 8.18918 2.98062i 0.673146 0.245005i
\(149\) −3.94833 4.70544i −0.323460 0.385484i 0.579671 0.814851i \(-0.303181\pi\)
−0.903130 + 0.429367i \(0.858737\pi\)
\(150\) −8.44635 1.91291i −0.689641 0.156189i
\(151\) 14.0203i 1.14095i −0.821313 0.570477i \(-0.806758\pi\)
0.821313 0.570477i \(-0.193242\pi\)
\(152\) −4.13228 1.38718i −0.335172 0.112515i
\(153\) −2.39503 + 13.4003i −0.193627 + 1.08335i
\(154\) 2.58122 0.455140i 0.208001 0.0366762i
\(155\) 7.59538 10.3221i 0.610076 0.829087i
\(156\) 7.50369 + 4.34391i 0.600776 + 0.347792i
\(157\) −1.49550 + 4.10885i −0.119354 + 0.327922i −0.984955 0.172813i \(-0.944715\pi\)
0.865601 + 0.500735i \(0.166937\pi\)
\(158\) 3.92149 + 3.29052i 0.311977 + 0.261780i
\(159\) −2.88065 16.4489i −0.228450 1.30449i
\(160\) 1.54353 + 1.61787i 0.122027 + 0.127904i
\(161\) 19.2311 + 3.39096i 1.51562 + 0.267245i
\(162\) −7.77319 4.53625i −0.610719 0.356402i
\(163\) −2.67537 + 1.54463i −0.209551 + 0.120985i −0.601103 0.799172i \(-0.705272\pi\)
0.391552 + 0.920156i \(0.371938\pi\)
\(164\) 0.537195 0.930450i 0.0419479 0.0726559i
\(165\) −0.490585 2.02998i −0.0381920 0.158034i
\(166\) 2.66109 7.31130i 0.206541 0.567467i
\(167\) 5.83488 + 16.0312i 0.451517 + 1.24053i 0.931657 + 0.363340i \(0.118364\pi\)
−0.480140 + 0.877192i \(0.659414\pi\)
\(168\) 8.28944 + 1.47161i 0.639544 + 0.113537i
\(169\) 2.09391 + 11.8751i 0.161070 + 0.913471i
\(170\) −9.85959 + 2.39492i −0.756196 + 0.183682i
\(171\) 4.75226 + 12.1826i 0.363415 + 0.931627i
\(172\) 12.1113i 0.923479i
\(173\) −5.14940 + 0.907978i −0.391502 + 0.0690323i −0.365934 0.930641i \(-0.619250\pi\)
−0.0255677 + 0.999673i \(0.508139\pi\)
\(174\) 0.280942 1.58252i 0.0212981 0.119971i
\(175\) −17.8628 16.4800i −1.35030 1.24577i
\(176\) −0.184427 + 0.506708i −0.0139017 + 0.0381945i
\(177\) −0.000451677 0.387909i −3.39501e−5 0.0291570i
\(178\) 3.44196 + 1.98722i 0.257986 + 0.148948i
\(179\) 10.6381 + 18.4257i 0.795127 + 1.37720i 0.922759 + 0.385378i \(0.125929\pi\)
−0.127632 + 0.991822i \(0.540738\pi\)
\(180\) 0.757128 6.66534i 0.0564330 0.496805i
\(181\) −2.70329 0.476664i −0.200934 0.0354301i 0.0722751 0.997385i \(-0.476974\pi\)
−0.273209 + 0.961955i \(0.588085\pi\)
\(182\) 12.1660 + 21.0722i 0.901806 + 1.56197i
\(183\) 4.32119 0.756756i 0.319432 0.0559410i
\(184\) −2.58236 + 3.07754i −0.190374 + 0.226879i
\(185\) 2.15430 19.3673i 0.158387 1.42391i
\(186\) 8.59105 + 4.97339i 0.629926 + 0.364667i
\(187\) −1.57276 1.87434i −0.115011 0.137065i
\(188\) −1.74721 9.90889i −0.127428 0.722680i
\(189\) −12.5521 21.9173i −0.913031 1.59425i
\(190\) −6.88042 + 6.90361i −0.499158 + 0.500840i
\(191\) 3.59987i 0.260477i −0.991483 0.130239i \(-0.958426\pi\)
0.991483 0.130239i \(-0.0415743\pi\)
\(192\) −1.11488 + 1.32553i −0.0804599 + 0.0956619i
\(193\) −15.4785 + 12.9880i −1.11417 + 0.934896i −0.998295 0.0583686i \(-0.981410\pi\)
−0.115870 + 0.993264i \(0.536966\pi\)
\(194\) 3.52394 + 9.68194i 0.253004 + 0.695123i
\(195\) 16.1508 10.7250i 1.15659 0.768031i
\(196\) 12.7369 + 10.6875i 0.909778 + 0.763394i
\(197\) −0.740333 + 1.28229i −0.0527465 + 0.0913597i −0.891193 0.453624i \(-0.850131\pi\)
0.838447 + 0.544984i \(0.183464\pi\)
\(198\) 1.52141 0.549738i 0.108122 0.0390682i
\(199\) −1.87199 + 10.6166i −0.132702 + 0.752588i 0.843731 + 0.536766i \(0.180354\pi\)
−0.976433 + 0.215822i \(0.930757\pi\)
\(200\) 4.77365 1.48735i 0.337548 0.105172i
\(201\) −3.00216 + 8.21857i −0.211756 + 0.579693i
\(202\) −5.28095 + 9.14687i −0.371566 + 0.643572i
\(203\) 2.89933 3.45528i 0.203493 0.242513i
\(204\) −2.67943 7.38843i −0.187598 0.517294i
\(205\) −1.33132 1.99979i −0.0929834 0.139671i
\(206\) −0.762546 0.908767i −0.0531291 0.0633168i
\(207\) 12.0523 + 0.0280671i 0.837691 + 0.00195080i
\(208\) −5.00583 −0.347092
\(209\) −2.22824 0.748003i −0.154130 0.0517404i
\(210\) 11.1751 15.1499i 0.771156 1.04544i
\(211\) −9.77676 + 1.72391i −0.673060 + 0.118679i −0.499725 0.866184i \(-0.666566\pi\)
−0.173335 + 0.984863i \(0.555454\pi\)
\(212\) 6.19733 + 7.38569i 0.425634 + 0.507251i
\(213\) −5.71597 3.30899i −0.391652 0.226729i
\(214\) −5.05774 1.84087i −0.345740 0.125839i
\(215\) −24.2685 12.0191i −1.65510 0.819696i
\(216\) 5.19612 + 0.0181510i 0.353551 + 0.00123502i
\(217\) 13.9290 + 24.1257i 0.945562 + 1.63776i
\(218\) −1.30739 + 7.41460i −0.0885479 + 0.502180i
\(219\) −0.517002 0.897886i −0.0349357 0.0606735i
\(220\) 0.832313 + 0.872401i 0.0561145 + 0.0588173i
\(221\) 11.3571 19.6711i 0.763962 1.32322i
\(222\) 15.0944 + 0.0175757i 1.01307 + 0.00117960i
\(223\) 14.2315 + 5.17985i 0.953014 + 0.346869i 0.771292 0.636481i \(-0.219611\pi\)
0.181722 + 0.983350i \(0.441833\pi\)
\(224\) −4.56760 + 1.66247i −0.305186 + 0.111079i
\(225\) −12.6046 8.13171i −0.840305 0.542114i
\(226\) 1.39983 + 7.93881i 0.0931150 + 0.528082i
\(227\) 20.9974i 1.39365i 0.717243 + 0.696823i \(0.245404\pi\)
−0.717243 + 0.696823i \(0.754596\pi\)
\(228\) −5.89844 4.71258i −0.390634 0.312098i
\(229\) −24.8343 −1.64110 −0.820549 0.571577i \(-0.806332\pi\)
−0.820549 + 0.571577i \(0.806332\pi\)
\(230\) 3.60404 + 8.22861i 0.237643 + 0.542578i
\(231\) 4.46989 + 0.793530i 0.294097 + 0.0522104i
\(232\) 0.317379 + 0.871993i 0.0208370 + 0.0572491i
\(233\) 27.2033 + 9.90120i 1.78215 + 0.648649i 0.999662 + 0.0259809i \(0.00827090\pi\)
0.782486 + 0.622668i \(0.213951\pi\)
\(234\) 9.62624 + 11.5265i 0.629287 + 0.753512i
\(235\) −21.5892 6.33241i −1.40833 0.413081i
\(236\) −0.111980 0.193954i −0.00728926 0.0126254i
\(237\) 4.42436 + 7.68387i 0.287393 + 0.499121i
\(238\) 3.82997 21.7208i 0.248260 1.40795i
\(239\) 21.5476 12.4405i 1.39380 0.804711i 0.400066 0.916486i \(-0.368987\pi\)
0.993733 + 0.111776i \(0.0356538\pi\)
\(240\) 1.54969 + 3.54943i 0.100032 + 0.229115i
\(241\) 1.69599 2.02121i 0.109248 0.130197i −0.708649 0.705561i \(-0.750695\pi\)
0.817898 + 0.575364i \(0.195140\pi\)
\(242\) 3.66277 10.0634i 0.235452 0.646899i
\(243\) −9.95038 11.9996i −0.638317 0.769774i
\(244\) −1.94024 + 1.62806i −0.124211 + 0.104226i
\(245\) 34.0554 14.9159i 2.17572 0.952942i
\(246\) 1.42692 1.19450i 0.0909773 0.0761587i
\(247\) −0.549661 21.8130i −0.0349741 1.38793i
\(248\) −5.73122 −0.363933
\(249\) 8.67439 10.3133i 0.549717 0.653580i
\(250\) 1.75696 11.0414i 0.111120 0.698321i
\(251\) −8.08613 22.2164i −0.510392 1.40229i −0.880830 0.473433i \(-0.843015\pi\)
0.370438 0.928857i \(-0.379207\pi\)
\(252\) 12.6116 + 7.32050i 0.794454 + 0.461148i
\(253\) −1.39248 + 1.65949i −0.0875443 + 0.104331i
\(254\) −7.18825 4.15014i −0.451031 0.260403i
\(255\) −17.4639 1.96316i −1.09363 0.122938i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) −22.7974 4.01980i −1.42206 0.250748i −0.590887 0.806755i \(-0.701222\pi\)
−0.831178 + 0.556006i \(0.812333\pi\)
\(258\) 7.19765 19.7040i 0.448106 1.22671i
\(259\) 36.6849 + 21.1801i 2.27949 + 1.31607i
\(260\) −4.96771 + 10.0306i −0.308084 + 0.622073i
\(261\) 1.39754 2.40765i 0.0865058 0.149030i
\(262\) 9.12499 3.32123i 0.563744 0.205186i
\(263\) 17.4891 14.6751i 1.07842 0.904903i 0.0826329 0.996580i \(-0.473667\pi\)
0.995789 + 0.0916768i \(0.0292227\pi\)
\(264\) −0.601176 + 0.714762i −0.0369998 + 0.0439906i
\(265\) 20.9495 5.08869i 1.28692 0.312596i
\(266\) −7.74579 19.7209i −0.474925 1.20916i
\(267\) 4.41875 + 5.27854i 0.270423 + 0.323041i
\(268\) −0.877212 4.97491i −0.0535842 0.303891i
\(269\) −15.2597 + 12.8044i −0.930401 + 0.780699i −0.975889 0.218265i \(-0.929960\pi\)
0.0454880 + 0.998965i \(0.485516\pi\)
\(270\) 5.19293 10.3939i 0.316031 0.632554i
\(271\) −4.43514 1.61426i −0.269415 0.0980592i 0.203780 0.979017i \(-0.434677\pi\)
−0.473195 + 0.880958i \(0.656900\pi\)
\(272\) 3.47597 + 2.91669i 0.210762 + 0.176850i
\(273\) 7.26996 + 41.5126i 0.439998 + 2.51245i
\(274\) 14.4193 8.32501i 0.871104 0.502932i
\(275\) 2.57408 0.802021i 0.155223 0.0483637i
\(276\) −6.03020 + 3.47218i −0.362976 + 0.209001i
\(277\) −11.5083 + 6.64433i −0.691467 + 0.399219i −0.804161 0.594411i \(-0.797385\pi\)
0.112694 + 0.993630i \(0.464052\pi\)
\(278\) −6.37266 3.67926i −0.382207 0.220667i
\(279\) 11.0212 + 13.1968i 0.659821 + 0.790073i
\(280\) −1.20158 + 10.8023i −0.0718083 + 0.645563i
\(281\) 1.15739 0.421254i 0.0690439 0.0251299i −0.307267 0.951623i \(-0.599415\pi\)
0.376311 + 0.926493i \(0.377192\pi\)
\(282\) 3.04623 17.1592i 0.181400 1.02181i
\(283\) −2.92788 + 0.516264i −0.174044 + 0.0306887i −0.259991 0.965611i \(-0.583720\pi\)
0.0859467 + 0.996300i \(0.472609\pi\)
\(284\) 3.81321 0.226272
\(285\) −15.2965 + 7.14253i −0.906089 + 0.423087i
\(286\) −2.69928 −0.159612
\(287\) 5.14300 0.906849i 0.303582 0.0535296i
\(288\) −2.60156 + 1.49395i −0.153299 + 0.0880316i
\(289\) −3.37296 + 1.22766i −0.198409 + 0.0722150i
\(290\) 2.06225 + 0.229392i 0.121100 + 0.0134703i
\(291\) −0.0207795 + 17.8458i −0.00121812 + 1.04614i
\(292\) 0.518047 + 0.299094i 0.0303164 + 0.0175032i
\(293\) −0.268843 + 0.155217i −0.0157060 + 0.00906785i −0.507832 0.861456i \(-0.669553\pi\)
0.492126 + 0.870524i \(0.336220\pi\)
\(294\) 14.3702 + 24.9570i 0.838087 + 1.45552i
\(295\) −0.499771 + 0.0319060i −0.0290978 + 0.00185764i
\(296\) −7.54719 + 4.35737i −0.438671 + 0.253267i
\(297\) 2.80189 + 0.00978750i 0.162582 + 0.000567928i
\(298\) 4.70544 + 3.94833i 0.272579 + 0.228721i
\(299\) −18.8978 6.87823i −1.09289 0.397778i
\(300\) 8.65020 + 0.417158i 0.499420 + 0.0240846i
\(301\) 45.0970 37.8409i 2.59935 2.18111i
\(302\) 2.43460 + 13.8073i 0.140095 + 0.794520i
\(303\) −14.0275 + 11.7427i −0.805859 + 0.674599i
\(304\) 4.31038 + 0.648539i 0.247217 + 0.0371962i
\(305\) 1.33681 + 5.50350i 0.0765458 + 0.315130i
\(306\) 0.0317008 13.6126i 0.00181222 0.778183i
\(307\) −11.1256 + 9.33548i −0.634971 + 0.532804i −0.902469 0.430755i \(-0.858247\pi\)
0.267498 + 0.963558i \(0.413803\pi\)
\(308\) −2.46298 + 0.896450i −0.140341 + 0.0510800i
\(309\) −0.700518 1.93165i −0.0398510 0.109888i
\(310\) −5.68758 + 11.4842i −0.323033 + 0.652257i
\(311\) −17.3043 9.99063i −0.981236 0.566517i −0.0785927 0.996907i \(-0.525043\pi\)
−0.902643 + 0.430390i \(0.858376\pi\)
\(312\) −8.14400 2.97492i −0.461063 0.168422i
\(313\) −26.9946 4.75988i −1.52583 0.269044i −0.653107 0.757266i \(-0.726535\pi\)
−0.872720 + 0.488221i \(0.837646\pi\)
\(314\) 0.759285 4.30612i 0.0428489 0.243008i
\(315\) 27.1843 18.0062i 1.53166 1.01453i
\(316\) −4.43331 2.55957i −0.249393 0.143987i
\(317\) −8.51418 + 10.1468i −0.478204 + 0.569901i −0.950177 0.311712i \(-0.899098\pi\)
0.471973 + 0.881613i \(0.343542\pi\)
\(318\) 5.69321 + 15.6988i 0.319259 + 0.880346i
\(319\) 0.171140 + 0.470202i 0.00958198 + 0.0263263i
\(320\) −1.80102 1.32526i −0.100680 0.0740845i
\(321\) −7.13445 6.00069i −0.398206 0.334926i
\(322\) −19.5277 −1.08824
\(323\) −12.3278 + 15.4669i −0.685939 + 0.860599i
\(324\) 8.44281 + 3.11754i 0.469045 + 0.173197i
\(325\) 15.1694 + 19.9085i 0.841445 + 1.10432i
\(326\) 2.36651 1.98573i 0.131069 0.109980i
\(327\) −6.53343 + 11.2859i −0.361300 + 0.624110i
\(328\) −0.367463 + 1.00960i −0.0202898 + 0.0557457i
\(329\) 31.4372 37.4654i 1.73319 2.06553i
\(330\) 0.835634 + 1.91395i 0.0460001 + 0.105359i
\(331\) −2.64266 + 1.52574i −0.145254 + 0.0838622i −0.570865 0.821044i \(-0.693392\pi\)
0.425612 + 0.904906i \(0.360059\pi\)
\(332\) −1.35107 + 7.66232i −0.0741498 + 0.420524i
\(333\) 24.5466 + 8.99904i 1.34515 + 0.493144i
\(334\) −8.53002 14.7744i −0.466742 0.808421i
\(335\) −10.8392 3.17929i −0.592209 0.173703i
\(336\) −8.41905 0.00980305i −0.459297 0.000534800i
\(337\) −19.9154 7.24861i −1.08486 0.394857i −0.263146 0.964756i \(-0.584760\pi\)
−0.821715 + 0.569899i \(0.806982\pi\)
\(338\) −4.12419 11.3311i −0.224326 0.616331i
\(339\) −2.44058 + 13.7476i −0.132554 + 0.746666i
\(340\) 9.29393 4.07063i 0.504034 0.220761i
\(341\) −3.09043 −0.167356
\(342\) −6.79555 11.1723i −0.367461 0.604129i
\(343\) 46.7935i 2.52661i
\(344\) 2.10311 + 11.9273i 0.113392 + 0.643078i
\(345\) 0.973237 + 15.5290i 0.0523973 + 0.836053i
\(346\) 4.91350 1.78837i 0.264152 0.0961433i
\(347\) 28.5211 + 10.3808i 1.53109 + 0.557272i 0.963889 0.266305i \(-0.0858030\pi\)
0.567204 + 0.823578i \(0.308025\pi\)
\(348\) −0.00187148 + 1.60726i −0.000100322 + 0.0861584i
\(349\) 5.84357 10.1214i 0.312799 0.541784i −0.666168 0.745802i \(-0.732067\pi\)
0.978967 + 0.204018i \(0.0654001\pi\)
\(350\) 20.4532 + 13.1278i 1.09327 + 0.701710i
\(351\) 8.81087 + 24.4733i 0.470289 + 1.30629i
\(352\) 0.0936358 0.531035i 0.00499080 0.0283043i
\(353\) −12.4926 21.6378i −0.664913 1.15166i −0.979309 0.202371i \(-0.935135\pi\)
0.314396 0.949292i \(-0.398198\pi\)
\(354\) −0.0669148 0.382094i −0.00355648 0.0203081i
\(355\) 3.78418 7.64087i 0.200843 0.405535i
\(356\) −3.73474 1.35934i −0.197941 0.0720447i
\(357\) 19.1395 33.0616i 1.01297 1.74980i
\(358\) −13.6760 16.2985i −0.722801 0.861401i
\(359\) 5.72944 1.01026i 0.302388 0.0533192i −0.0203953 0.999792i \(-0.506492\pi\)
0.322784 + 0.946473i \(0.395381\pi\)
\(360\) 0.411799 + 6.69555i 0.0217037 + 0.352887i
\(361\) −2.35272 + 18.8538i −0.123827 + 0.992304i
\(362\) 2.74500 0.144274
\(363\) 11.9396 14.1954i 0.626665 0.745066i
\(364\) −15.6403 18.6394i −0.819777 0.976972i
\(365\) 1.11342 0.741239i 0.0582793 0.0387982i
\(366\) −4.12413 + 1.49563i −0.215572 + 0.0781776i
\(367\) −14.1622 + 16.8778i −0.739259 + 0.881014i −0.996349 0.0853731i \(-0.972792\pi\)
0.257090 + 0.966387i \(0.417236\pi\)
\(368\) 2.00872 3.47920i 0.104712 0.181366i
\(369\) 3.03135 1.09533i 0.157806 0.0570208i
\(370\) 1.24153 + 19.4472i 0.0645441 + 1.01101i
\(371\) −8.13785 + 46.1521i −0.422496 + 2.39610i
\(372\) −9.32415 3.40602i −0.483435 0.176594i
\(373\) 5.96781 10.3366i 0.309002 0.535207i −0.669143 0.743134i \(-0.733338\pi\)
0.978144 + 0.207927i \(0.0666718\pi\)
\(374\) 1.87434 + 1.57276i 0.0969197 + 0.0813253i
\(375\) 9.42023 16.9192i 0.486459 0.873704i
\(376\) 3.44132 + 9.45496i 0.177473 + 0.487602i
\(377\) −3.55842 + 2.98587i −0.183268 + 0.153780i
\(378\) 16.1673 + 19.4047i 0.831557 + 0.998070i
\(379\) 5.88480i 0.302282i 0.988512 + 0.151141i \(0.0482947\pi\)
−0.988512 + 0.151141i \(0.951705\pi\)
\(380\) 5.57710 7.99350i 0.286099 0.410058i
\(381\) −9.22821 11.0238i −0.472776 0.564766i
\(382\) 0.625110 + 3.54518i 0.0319834 + 0.181387i
\(383\) −21.5007 25.6235i −1.09863 1.30930i −0.947133 0.320841i \(-0.896034\pi\)
−0.151499 0.988457i \(-0.548410\pi\)
\(384\) 0.867771 1.49899i 0.0442833 0.0764950i
\(385\) −0.647926 + 5.82491i −0.0330213 + 0.296865i
\(386\) 12.9880 15.4785i 0.661071 0.787834i
\(387\) 23.4198 27.7790i 1.19049 1.41208i
\(388\) −5.15165 8.92293i −0.261536 0.452993i
\(389\) −23.6912 4.17740i −1.20119 0.211803i −0.462978 0.886370i \(-0.653219\pi\)
−0.738214 + 0.674567i \(0.764330\pi\)
\(390\) −14.0431 + 13.3666i −0.711100 + 0.676844i
\(391\) 9.11468 + 15.7871i 0.460949 + 0.798387i
\(392\) −14.3993 8.31341i −0.727272 0.419891i
\(393\) 16.8193 + 0.0195842i 0.848420 + 0.000987890i
\(394\) 0.506418 1.39137i 0.0255129 0.0700962i
\(395\) −9.52839 + 6.34333i −0.479426 + 0.319168i
\(396\) −1.40283 + 0.805576i −0.0704950 + 0.0404817i
\(397\) −12.6978 + 2.23897i −0.637285 + 0.112370i −0.482950 0.875648i \(-0.660435\pi\)
−0.154335 + 0.988019i \(0.549323\pi\)
\(398\) 10.7803i 0.540370i
\(399\) −0.881730 36.6872i −0.0441417 1.83666i
\(400\) −4.44286 + 2.29369i −0.222143 + 0.114685i
\(401\) 0.169356 + 0.960468i 0.00845726 + 0.0479635i 0.988744 0.149615i \(-0.0478034\pi\)
−0.980287 + 0.197578i \(0.936692\pi\)
\(402\) 1.52941 8.61503i 0.0762799 0.429679i
\(403\) −9.81240 26.9593i −0.488790 1.34294i
\(404\) 3.61238 9.92494i 0.179723 0.493784i
\(405\) 14.6254 13.8238i 0.726742 0.686910i
\(406\) −2.25528 + 3.90625i −0.111927 + 0.193864i
\(407\) −4.06965 + 2.34961i −0.201725 + 0.116466i
\(408\) 3.92171 + 6.81091i 0.194154 + 0.337190i
\(409\) −25.6614 4.52480i −1.26888 0.223737i −0.501626 0.865085i \(-0.667264\pi\)
−0.767250 + 0.641348i \(0.778376\pi\)
\(410\) 1.65835 + 1.73823i 0.0819003 + 0.0858450i
\(411\) 28.4064 4.97471i 1.40118 0.245384i
\(412\) 0.908767 + 0.762546i 0.0447717 + 0.0375679i
\(413\) 0.372326 1.02296i 0.0183210 0.0503365i
\(414\) −11.8741 + 2.06522i −0.583578 + 0.101500i
\(415\) 14.0129 + 10.3112i 0.687865 + 0.506159i
\(416\) 4.92978 0.869253i 0.241702 0.0426186i
\(417\) −8.18116 9.77302i −0.400633 0.478587i
\(418\) 2.32428 + 0.349710i 0.113684 + 0.0171049i
\(419\) 9.76360i 0.476983i 0.971145 + 0.238491i \(0.0766529\pi\)
−0.971145 + 0.238491i \(0.923347\pi\)
\(420\) −8.37459 + 16.8603i −0.408638 + 0.822697i
\(421\) 7.60520 + 9.06353i 0.370655 + 0.441729i 0.918842 0.394627i \(-0.129126\pi\)
−0.548187 + 0.836356i \(0.684682\pi\)
\(422\) 9.32888 3.39543i 0.454123 0.165287i
\(423\) 15.1535 26.1060i 0.736787 1.26932i
\(424\) −7.38569 6.19733i −0.358681 0.300969i
\(425\) 1.06647 22.6627i 0.0517312 1.09930i
\(426\) 6.20373 + 2.26616i 0.300572 + 0.109796i
\(427\) −12.1243 2.13784i −0.586736 0.103457i
\(428\) 5.30057 + 0.934633i 0.256213 + 0.0451772i
\(429\) −4.39147 1.60416i −0.212022 0.0774494i
\(430\) 25.9869 + 7.62232i 1.25320 + 0.367581i
\(431\) 12.0700 + 10.1280i 0.581394 + 0.487847i 0.885405 0.464821i \(-0.153881\pi\)
−0.304011 + 0.952669i \(0.598326\pi\)
\(432\) −5.12033 + 0.884422i −0.246352 + 0.0425518i
\(433\) 4.70348 1.71193i 0.226035 0.0822700i −0.226520 0.974007i \(-0.572735\pi\)
0.452555 + 0.891737i \(0.350513\pi\)
\(434\) −17.9068 21.3405i −0.859553 1.02438i
\(435\) 3.21876 + 1.59878i 0.154328 + 0.0766555i
\(436\) 7.52898i 0.360573i
\(437\) 15.3812 + 8.37099i 0.735785 + 0.400439i
\(438\) 0.665063 + 0.794469i 0.0317780 + 0.0379612i
\(439\) 5.31334 0.936885i 0.253592 0.0447151i −0.0454070 0.998969i \(-0.514458\pi\)
0.298999 + 0.954254i \(0.403347\pi\)
\(440\) −0.971159 0.714618i −0.0462982 0.0340681i
\(441\) 8.54723 + 49.1427i 0.407011 + 2.34013i
\(442\) −7.76873 + 21.3444i −0.369521 + 1.01525i
\(443\) 12.2783 + 10.3027i 0.583361 + 0.489498i 0.886049 0.463592i \(-0.153439\pi\)
−0.302688 + 0.953090i \(0.597884\pi\)
\(444\) −14.8681 + 2.60380i −0.705609 + 0.123571i
\(445\) −6.43013 + 6.13465i −0.304817 + 0.290811i
\(446\) −14.9148 2.62988i −0.706236 0.124528i
\(447\) 5.30884 + 9.21995i 0.251099 + 0.436089i
\(448\) 4.20953 2.43037i 0.198881 0.114824i
\(449\) 18.7328 32.4461i 0.884055 1.53123i 0.0372619 0.999306i \(-0.488136\pi\)
0.846793 0.531923i \(-0.178530\pi\)
\(450\) 13.8251 + 5.81941i 0.651723 + 0.274330i
\(451\) −0.198146 + 0.544402i −0.00933034 + 0.0256349i
\(452\) −2.75712 7.57512i −0.129684 0.356304i
\(453\) −4.24469 + 23.9100i −0.199433 + 1.12339i
\(454\) −3.64616 20.6784i −0.171123 0.970485i
\(455\) −52.8707 + 12.8424i −2.47862 + 0.602063i
\(456\) 6.62716 + 3.61673i 0.310345 + 0.169369i
\(457\) 35.8059i 1.67493i −0.546490 0.837465i \(-0.684036\pi\)
0.546490 0.837465i \(-0.315964\pi\)
\(458\) 24.4570 4.31243i 1.14280 0.201507i
\(459\) 8.14144 22.1276i 0.380010 1.03283i
\(460\) −4.97817 7.47776i −0.232108 0.348652i
\(461\) −6.07727 + 16.6971i −0.283046 + 0.777664i 0.713949 + 0.700198i \(0.246905\pi\)
−0.996995 + 0.0774656i \(0.975317\pi\)
\(462\) −4.53978 0.00528607i −0.211210 0.000245930i
\(463\) −2.84031 1.63985i −0.132000 0.0762104i 0.432546 0.901612i \(-0.357615\pi\)
−0.564546 + 0.825402i \(0.690949\pi\)
\(464\) −0.463978 0.803633i −0.0215396 0.0373077i
\(465\) −16.0781 + 15.3036i −0.745604 + 0.709686i
\(466\) −28.5094 5.02697i −1.32067 0.232870i
\(467\) 0.909499 + 1.57530i 0.0420866 + 0.0728961i 0.886301 0.463109i \(-0.153266\pi\)
−0.844215 + 0.536005i \(0.819933\pi\)
\(468\) −11.4816 9.67982i −0.530735 0.447450i
\(469\) 15.7835 18.8101i 0.728816 0.868569i
\(470\) 22.3609 + 2.48728i 1.03143 + 0.114730i
\(471\) 3.79437 6.55441i 0.174836 0.302011i
\(472\) 0.143958 + 0.171563i 0.00662622 + 0.00789682i
\(473\) 1.13405 + 6.43153i 0.0521438 + 0.295722i
\(474\) −5.69144 6.79885i −0.261416 0.312282i
\(475\) −10.4827 19.1080i −0.480977 0.876733i
\(476\) 22.0559i 1.01093i
\(477\) −0.0673574 + 28.9239i −0.00308409 + 1.32433i
\(478\) −19.0600 + 15.9932i −0.871784 + 0.731513i
\(479\) 9.59031 + 26.3492i 0.438192 + 1.20392i 0.940667 + 0.339332i \(0.110201\pi\)
−0.502474 + 0.864592i \(0.667577\pi\)
\(480\) −2.14250 3.22641i −0.0977912 0.147265i
\(481\) −33.4183 28.0413i −1.52374 1.27857i
\(482\) −1.31925 + 2.28500i −0.0600901 + 0.104079i
\(483\) −31.7698 11.6052i −1.44557 0.528053i
\(484\) −1.85964 + 10.5465i −0.0845290 + 0.479388i
\(485\) −22.9921 + 1.46784i −1.04402 + 0.0666513i
\(486\) 11.8829 + 10.0894i 0.539020 + 0.457665i
\(487\) −2.70410 + 4.68364i −0.122534 + 0.212236i −0.920766 0.390114i \(-0.872436\pi\)
0.798232 + 0.602350i \(0.205769\pi\)
\(488\) 1.62806 1.94024i 0.0736987 0.0878307i
\(489\) 5.03018 1.82421i 0.227473 0.0824935i
\(490\) −30.9479 + 20.6030i −1.39809 + 0.930747i
\(491\) 0.972454 + 1.15893i 0.0438862 + 0.0523016i 0.787541 0.616262i \(-0.211354\pi\)
−0.743655 + 0.668564i \(0.766909\pi\)
\(492\) −1.19782 + 1.42414i −0.0540020 + 0.0642051i
\(493\) 4.21065 0.189638
\(494\) 4.32909 + 21.3861i 0.194775 + 0.962208i
\(495\) 0.222053 + 3.61042i 0.00998054 + 0.162276i
\(496\) 5.64415 0.995217i 0.253430 0.0446865i
\(497\) 11.9141 + 14.1987i 0.534420 + 0.636897i
\(498\) −6.75171 + 11.6629i −0.302552 + 0.522628i
\(499\) −23.4835 8.54730i −1.05127 0.382630i −0.242126 0.970245i \(-0.577845\pi\)
−0.809140 + 0.587615i \(0.800067\pi\)
\(500\) 0.187052 + 11.1788i 0.00836522 + 0.499930i
\(501\) −5.09722 29.1059i −0.227727 1.30036i
\(502\) 11.8211 + 20.4748i 0.527603 + 0.913835i
\(503\) −1.52911 + 8.67202i −0.0681797 + 0.386666i 0.931554 + 0.363602i \(0.118453\pi\)
−0.999734 + 0.0230641i \(0.992658\pi\)
\(504\) −13.6912 5.01931i −0.609853 0.223578i
\(505\) −16.3026 17.0878i −0.725457 0.760398i
\(506\) 1.08316 1.87608i 0.0481521 0.0834020i
\(507\) 0.0243190 20.8856i 0.00108004 0.927562i
\(508\) 7.79971 + 2.83886i 0.346056 + 0.125954i
\(509\) 1.51623 0.551862i 0.0672056 0.0244609i −0.308199 0.951322i \(-0.599726\pi\)
0.375404 + 0.926861i \(0.377504\pi\)
\(510\) 17.5395 1.09924i 0.776661 0.0486750i
\(511\) 0.504907 + 2.86347i 0.0223358 + 0.126672i
\(512\) 1.00000i 0.0441942i
\(513\) −4.41612 22.2148i −0.194976 0.980808i
\(514\) 23.1491 1.02106
\(515\) 2.42983 1.06424i 0.107071 0.0468959i
\(516\) −3.66674 + 20.6545i −0.161419 + 0.909262i
\(517\) 1.85565 + 5.09837i 0.0816116 + 0.224226i
\(518\) −39.8055 14.4880i −1.74895 0.636567i
\(519\) 9.05661 + 0.0105454i 0.397541 + 0.000462892i
\(520\) 3.15044 10.7409i 0.138156 0.471018i
\(521\) 6.81796 + 11.8091i 0.298700 + 0.517364i 0.975839 0.218491i \(-0.0701136\pi\)
−0.677139 + 0.735855i \(0.736780\pi\)
\(522\) −0.958228 + 2.61375i −0.0419405 + 0.114401i
\(523\) 0.760544 4.31326i 0.0332563 0.188606i −0.963654 0.267153i \(-0.913917\pi\)
0.996910 + 0.0785474i \(0.0250282\pi\)
\(524\) −8.40964 + 4.85531i −0.367377 + 0.212105i
\(525\) 25.4736 + 33.5128i 1.11176 + 1.46262i
\(526\) −14.6751 + 17.4891i −0.639863 + 0.762559i
\(527\) −8.89449 + 24.4374i −0.387450 + 1.06451i
\(528\) 0.467926 0.808296i 0.0203639 0.0351766i
\(529\) −5.25521 + 4.40965i −0.228488 + 0.191724i
\(530\) −19.7476 + 8.64922i −0.857780 + 0.375698i
\(531\) 0.118211 0.661397i 0.00512992 0.0287022i
\(532\) 11.0526 + 18.0762i 0.479191 + 0.783703i
\(533\) −5.37822 −0.232956
\(534\) −5.26823 4.43103i −0.227979 0.191750i
\(535\) 7.13301 9.69370i 0.308387 0.419095i
\(536\) 1.72777 + 4.74701i 0.0746283 + 0.205040i
\(537\) −12.5636 34.6436i −0.542158 1.49498i
\(538\) 12.8044 15.2597i 0.552038 0.657893i
\(539\) −7.76447 4.48282i −0.334439 0.193089i
\(540\) −3.30915 + 11.1378i −0.142403 + 0.479293i
\(541\) −3.78990 + 21.4936i −0.162941 + 0.924082i 0.788222 + 0.615391i \(0.211002\pi\)
−0.951162 + 0.308691i \(0.900109\pi\)
\(542\) 4.64807 + 0.819580i 0.199652 + 0.0352040i
\(543\) 4.46585 + 1.63133i 0.191648 + 0.0700069i
\(544\) −3.92964 2.26878i −0.168482 0.0972731i
\(545\) −15.0865 7.47165i −0.646234 0.320050i
\(546\) −14.3681 39.6195i −0.614898 1.69556i
\(547\) 4.51375 1.64287i 0.192994 0.0702440i −0.243715 0.969847i \(-0.578366\pi\)
0.436709 + 0.899603i \(0.356144\pi\)
\(548\) −12.7546 + 10.7024i −0.544852 + 0.457185i
\(549\) −7.59841 0.0176950i −0.324292 0.000755205i
\(550\) −2.39571 + 1.23682i −0.102153 + 0.0527383i
\(551\) 3.45090 2.11003i 0.147013 0.0898904i
\(552\) 5.33565 4.46657i 0.227100 0.190110i
\(553\) −4.32086 24.5048i −0.183742 1.04205i
\(554\) 10.1797 8.54178i 0.432494 0.362905i
\(555\) −9.53742 + 32.3765i −0.404841 + 1.37431i
\(556\) 6.91475 + 2.51676i 0.293251 + 0.106734i
\(557\) −18.9752 15.9220i −0.804003 0.674639i 0.145165 0.989407i \(-0.453629\pi\)
−0.949168 + 0.314769i \(0.898073\pi\)
\(558\) −13.1453 11.0825i −0.556487 0.469161i
\(559\) −52.5047 + 30.3136i −2.22071 + 1.28213i
\(560\) −0.692478 10.8469i −0.0292625 0.458364i
\(561\) 2.11469 + 3.67263i 0.0892824 + 0.155058i
\(562\) −1.06665 + 0.615832i −0.0449940 + 0.0259773i
\(563\) 25.6777 + 14.8250i 1.08219 + 0.624800i 0.931485 0.363779i \(-0.118514\pi\)
0.150700 + 0.988579i \(0.451847\pi\)
\(564\) −0.0202923 + 17.4275i −0.000854461 + 0.733828i
\(565\) −17.9151 1.99276i −0.753693 0.0838359i
\(566\) 2.79375 1.01684i 0.117430 0.0427410i
\(567\) 14.7706 + 41.1777i 0.620308 + 1.72930i
\(568\) −3.75528 + 0.662157i −0.157568 + 0.0277835i
\(569\) −27.0667 −1.13469 −0.567347 0.823479i \(-0.692030\pi\)
−0.567347 + 0.823479i \(0.692030\pi\)
\(570\) 13.8239 9.69024i 0.579018 0.405879i
\(571\) −15.1156 −0.632567 −0.316284 0.948665i \(-0.602435\pi\)
−0.316284 + 0.948665i \(0.602435\pi\)
\(572\) 2.65827 0.468725i 0.111148 0.0195984i
\(573\) −1.08987 + 6.13916i −0.0455301 + 0.256467i
\(574\) −4.90739 + 1.78614i −0.204831 + 0.0745522i
\(575\) −19.9241 + 2.55437i −0.830893 + 0.106525i
\(576\) 2.30262 1.92301i 0.0959424 0.0801252i
\(577\) 17.8586 + 10.3107i 0.743465 + 0.429240i 0.823328 0.567566i \(-0.192115\pi\)
−0.0798627 + 0.996806i \(0.525448\pi\)
\(578\) 3.10853 1.79471i 0.129298 0.0746502i
\(579\) 30.3289 17.4634i 1.26043 0.725753i
\(580\) −2.07076 + 0.132200i −0.0859834 + 0.00548929i
\(581\) −32.7523 + 18.9096i −1.35880 + 0.784501i
\(582\) −3.07843 17.5783i −0.127605 0.728645i
\(583\) −3.98256 3.34177i −0.164941 0.138402i
\(584\) −0.562114 0.204593i −0.0232604 0.00846610i
\(585\) −30.7904 + 13.4005i −1.27303 + 0.554042i
\(586\) 0.237806 0.199543i 0.00982366 0.00824303i
\(587\) −2.82242 16.0067i −0.116494 0.660668i −0.986000 0.166746i \(-0.946674\pi\)
0.869506 0.493922i \(-0.164437\pi\)
\(588\) −18.4856 22.0825i −0.762334 0.910666i
\(589\) 4.95642 + 24.4852i 0.204226 + 1.00890i
\(590\) 0.486638 0.118206i 0.0200346 0.00486645i
\(591\) 1.65077 1.96267i 0.0679037 0.0807334i
\(592\) 6.67588 5.60173i 0.274377 0.230230i
\(593\) 23.4379 8.53068i 0.962477 0.350313i 0.187474 0.982270i \(-0.439970\pi\)
0.775004 + 0.631957i \(0.217748\pi\)
\(594\) −2.76102 + 0.476904i −0.113286 + 0.0195676i
\(595\) 44.1954 + 21.8880i 1.81183 + 0.897319i
\(596\) −5.31957 3.07125i −0.217898 0.125804i
\(597\) 6.40666 17.5386i 0.262207 0.717807i
\(598\) 19.8051 + 3.49217i 0.809890 + 0.142805i
\(599\) −1.40992 + 7.99608i −0.0576080 + 0.326711i −0.999969 0.00788708i \(-0.997489\pi\)
0.942361 + 0.334598i \(0.108601\pi\)
\(600\) −8.59122 + 1.09127i −0.350735 + 0.0445510i
\(601\) −13.7278 7.92576i −0.559969 0.323299i 0.193164 0.981167i \(-0.438125\pi\)
−0.753133 + 0.657868i \(0.771458\pi\)
\(602\) −37.8409 + 45.0970i −1.54228 + 1.83802i
\(603\) 7.60803 13.1069i 0.309823 0.533755i
\(604\) −4.79522 13.1748i −0.195115 0.536073i
\(605\) 19.2876 + 14.1926i 0.784151 + 0.577009i
\(606\) 11.7753 14.0001i 0.478339 0.568716i
\(607\) 26.7979 1.08769 0.543847 0.839184i \(-0.316967\pi\)
0.543847 + 0.839184i \(0.316967\pi\)
\(608\) −4.35752 + 0.109804i −0.176721 + 0.00445315i
\(609\) −5.99057 + 5.01481i −0.242750 + 0.203210i
\(610\) −2.27218 5.18776i −0.0919978 0.210046i
\(611\) −38.5837 + 32.3755i −1.56093 + 1.30977i
\(612\) 2.33259 + 13.4113i 0.0942894 + 0.542121i
\(613\) 4.39087 12.0638i 0.177345 0.487252i −0.818889 0.573952i \(-0.805410\pi\)
0.996235 + 0.0866993i \(0.0276319\pi\)
\(614\) 9.33548 11.1256i 0.376749 0.448992i
\(615\) 1.66497 + 3.81348i 0.0671381 + 0.153774i
\(616\) 2.26989 1.31052i 0.0914565 0.0528024i
\(617\) −3.32232 + 18.8418i −0.133751 + 0.758542i 0.841970 + 0.539525i \(0.181396\pi\)
−0.975721 + 0.219017i \(0.929715\pi\)
\(618\) 1.02530 + 1.78066i 0.0412437 + 0.0716287i
\(619\) −21.2002 36.7199i −0.852109 1.47590i −0.879301 0.476266i \(-0.841990\pi\)
0.0271922 0.999630i \(-0.491343\pi\)
\(620\) 3.60697 12.2973i 0.144860 0.493873i
\(621\) −20.5453 3.69673i −0.824454 0.148345i
\(622\) 18.7762 + 6.83399i 0.752859 + 0.274018i
\(623\) −6.60738 18.1536i −0.264719 0.727310i
\(624\) 8.53687 + 1.51553i 0.341748 + 0.0606698i
\(625\) 22.5855 + 10.7188i 0.903421 + 0.428754i
\(626\) 27.4111 1.09557
\(627\) 3.57354 + 1.95024i 0.142714 + 0.0778851i
\(628\) 4.37255i 0.174484i
\(629\) 6.86668 + 38.9429i 0.273793 + 1.55275i
\(630\) −23.6446 + 22.4531i −0.942022 + 0.894553i
\(631\) 28.9041 10.5202i 1.15065 0.418803i 0.304903 0.952383i \(-0.401376\pi\)
0.845749 + 0.533580i \(0.179154\pi\)
\(632\) 4.81042 + 1.75085i 0.191348 + 0.0696451i
\(633\) 17.1951 + 0.0200217i 0.683443 + 0.000795793i
\(634\) 6.62285 11.4711i 0.263027 0.455576i
\(635\) 13.4288 12.8117i 0.532906 0.508418i
\(636\) −8.33279 14.4717i −0.330417 0.573841i
\(637\) 14.4529 81.9666i 0.572645 3.24763i
\(638\) −0.250189 0.433341i −0.00990509 0.0171561i
\(639\) 8.74612 + 7.37364i 0.345991 + 0.291697i
\(640\) 2.00379 + 0.992386i 0.0792067 + 0.0392275i
\(641\) 20.2952 + 7.38683i 0.801610 + 0.291762i 0.710154 0.704047i \(-0.248625\pi\)
0.0914568 + 0.995809i \(0.470848\pi\)
\(642\) 8.06807 + 4.67064i 0.318421 + 0.184335i
\(643\) −3.40630 4.05947i −0.134332 0.160090i 0.694685 0.719314i \(-0.255544\pi\)
−0.829017 + 0.559224i \(0.811099\pi\)
\(644\) 19.2311 3.39096i 0.757810 0.133622i
\(645\) 37.7484 + 27.8446i 1.48634 + 1.09638i
\(646\) 9.45475 17.3726i 0.371992 0.683515i
\(647\) −38.0110 −1.49437 −0.747184 0.664618i \(-0.768594\pi\)
−0.747184 + 0.664618i \(0.768594\pi\)
\(648\) −8.85589 1.60410i −0.347892 0.0630149i
\(649\) 0.0776262 + 0.0925113i 0.00304710 + 0.00363139i
\(650\) −18.3960 16.9719i −0.721550 0.665693i
\(651\) −16.4502 45.3608i −0.644733 1.77783i
\(652\) −1.98573 + 2.36651i −0.0777674 + 0.0926795i
\(653\) −0.354102 + 0.613323i −0.0138571 + 0.0240012i −0.872871 0.487951i \(-0.837744\pi\)
0.859014 + 0.511953i \(0.171078\pi\)
\(654\) 4.47441 12.2489i 0.174963 0.478971i
\(655\) 1.38341 + 21.6695i 0.0540541 + 0.846697i
\(656\) 0.186566 1.05807i 0.00728418 0.0413106i
\(657\) 0.609849 + 1.68777i 0.0237925 + 0.0658460i
\(658\) −24.4538 + 42.3552i −0.953308 + 1.65118i
\(659\) 10.8393 + 9.09528i 0.422240 + 0.354302i 0.829015 0.559227i \(-0.188902\pi\)
−0.406774 + 0.913529i \(0.633346\pi\)
\(660\) −1.15529 1.73977i −0.0449697 0.0677203i
\(661\) 11.7136 + 32.1828i 0.455605 + 1.25177i 0.928726 + 0.370767i \(0.120905\pi\)
−0.473121 + 0.880998i \(0.656872\pi\)
\(662\) 2.33757 1.96145i 0.0908521 0.0762340i
\(663\) −25.3238 + 30.1084i −0.983493 + 1.16931i
\(664\) 7.78052i 0.301943i
\(665\) 47.1894 4.20851i 1.82993 0.163199i
\(666\) −25.7364 4.59984i −0.997265 0.178240i
\(667\) −0.647361 3.67137i −0.0250659 0.142156i
\(668\) 10.9660 + 13.0688i 0.424287 + 0.505645i
\(669\) −22.7020 13.1423i −0.877711 0.508110i
\(670\) 11.2266 + 1.24878i 0.433722 + 0.0482445i
\(671\) 0.877893 1.04623i 0.0338907 0.0403893i
\(672\) 8.29285 1.45230i 0.319904 0.0560236i
\(673\) −0.579758 1.00417i −0.0223480 0.0387079i 0.854635 0.519229i \(-0.173781\pi\)
−0.876983 + 0.480521i \(0.840448\pi\)
\(674\) 20.8715 + 3.68022i 0.803942 + 0.141757i
\(675\) 19.0338 + 17.6838i 0.732610 + 0.680649i
\(676\) 6.02916 + 10.4428i 0.231891 + 0.401647i
\(677\) 19.6923 + 11.3693i 0.756836 + 0.436959i 0.828158 0.560494i \(-0.189389\pi\)
−0.0713228 + 0.997453i \(0.522722\pi\)
\(678\) 0.0162578 13.9625i 0.000624377 0.536228i
\(679\) 17.1290 47.0614i 0.657349 1.80605i
\(680\) −8.44587 + 5.62267i −0.323884 + 0.215619i
\(681\) 6.35703 35.8086i 0.243602 1.37219i
\(682\) 3.04348 0.536648i 0.116541 0.0205493i
\(683\) 44.0729i 1.68640i −0.537597 0.843202i \(-0.680668\pi\)
0.537597 0.843202i \(-0.319332\pi\)
\(684\) 8.63237 + 9.82254i 0.330067 + 0.375574i
\(685\) 8.78786 + 36.1786i 0.335767 + 1.38231i
\(686\) −8.12561 46.0826i −0.310237 1.75944i
\(687\) 42.3521 + 7.51867i 1.61583 + 0.286855i
\(688\) −4.14232 11.3809i −0.157924 0.433893i
\(689\) 16.5069 45.3522i 0.628861 1.72778i
\(690\) −3.65503 15.1241i −0.139145 0.575764i
\(691\) 9.58267 16.5977i 0.364542 0.631405i −0.624161 0.781296i \(-0.714559\pi\)
0.988703 + 0.149891i \(0.0478923\pi\)
\(692\) −4.52831 + 2.61442i −0.172140 + 0.0993853i
\(693\) −7.38265 2.70655i −0.280444 0.102813i
\(694\) −29.8904 5.27048i −1.13462 0.200065i
\(695\) 11.9052 11.3581i 0.451588 0.430837i
\(696\) −0.277256 1.58317i −0.0105093 0.0600100i
\(697\) 3.73455 + 3.13366i 0.141456 + 0.118696i
\(698\) −3.99724 + 10.9823i −0.151298 + 0.415687i
\(699\) −43.3945 25.1213i −1.64133 0.950173i
\(700\) −22.4220 9.37670i −0.847474 0.354406i
\(701\) −22.7004 + 4.00269i −0.857382 + 0.151180i −0.585023 0.811016i \(-0.698915\pi\)
−0.272358 + 0.962196i \(0.587804\pi\)
\(702\) −12.9268 22.5715i −0.487889 0.851907i
\(703\) 25.1427 + 28.4752i 0.948273 + 1.07396i
\(704\) 0.539227i 0.0203229i
\(705\) 34.9008 + 17.3354i 1.31444 + 0.652890i
\(706\) 16.0601 + 19.1397i 0.604431 + 0.720333i
\(707\) 48.2426 17.5589i 1.81435 0.660369i
\(708\) 0.132248 + 0.364669i 0.00497019 + 0.0137051i
\(709\) 6.81911 + 5.72191i 0.256097 + 0.214891i 0.761792 0.647821i \(-0.224320\pi\)
−0.505695 + 0.862712i \(0.668764\pi\)
\(710\) −2.39986 + 8.18190i −0.0900652 + 0.307061i
\(711\) −5.21893 14.4435i −0.195725 0.541672i
\(712\) 3.91405 + 0.690153i 0.146685 + 0.0258646i
\(713\) 22.6750 + 3.99822i 0.849187 + 0.149735i
\(714\) −13.1076 + 35.8828i −0.490540 + 1.34288i
\(715\) 1.69880 5.79177i 0.0635317 0.216600i
\(716\) 16.2985 + 13.6760i 0.609102 + 0.511097i
\(717\) −40.5134 + 14.6923i −1.51300 + 0.548693i
\(718\) −5.46697 + 1.98981i −0.204026 + 0.0742592i
\(719\) −32.7998 39.0893i −1.22323 1.45778i −0.847283 0.531141i \(-0.821763\pi\)
−0.375943 0.926643i \(-0.622681\pi\)
\(720\) −1.56821 6.52232i −0.0584438 0.243073i
\(721\) 5.76635i 0.214750i
\(722\) −0.956948 18.9759i −0.0356139 0.706209i
\(723\) −3.50425 + 2.93347i −0.130324 + 0.109097i
\(724\) −2.70329 + 0.476664i −0.100467 + 0.0177151i
\(725\) −1.79009 + 4.28055i −0.0664822 + 0.158976i
\(726\) −9.29317 + 16.0530i −0.344902 + 0.595784i
\(727\) −2.70548 + 7.43324i −0.100341 + 0.275683i −0.979698 0.200479i \(-0.935750\pi\)
0.879357 + 0.476162i \(0.157972\pi\)
\(728\) 18.6394 + 15.6403i 0.690823 + 0.579670i
\(729\) 13.3363 + 23.4764i 0.493938 + 0.869497i
\(730\) −0.967794 + 0.923322i −0.0358197 + 0.0341737i
\(731\) 54.1209 + 9.54297i 2.00173 + 0.352960i
\(732\) 3.80177 2.18905i 0.140517 0.0809097i
\(733\) −28.2098 + 16.2869i −1.04195 + 0.601571i −0.920386 0.391012i \(-0.872125\pi\)
−0.121566 + 0.992583i \(0.538792\pi\)
\(734\) 11.0162 19.0806i 0.406616 0.704279i
\(735\) −62.5935 + 15.1270i −2.30880 + 0.557966i
\(736\) −1.37404 + 3.77516i −0.0506480 + 0.139154i
\(737\) 0.931660 + 2.55972i 0.0343181 + 0.0942883i
\(738\) −2.79509 + 1.60508i −0.102889 + 0.0590839i
\(739\) 3.49358 + 19.8131i 0.128513 + 0.728835i 0.979159 + 0.203096i \(0.0651002\pi\)
−0.850646 + 0.525740i \(0.823789\pi\)
\(740\) −4.59963 18.9361i −0.169086 0.696106i
\(741\) −5.66657 + 37.3660i −0.208167 + 1.37267i
\(742\) 46.8640i 1.72043i
\(743\) −27.6302 + 4.87195i −1.01365 + 0.178735i −0.655713 0.755010i \(-0.727632\pi\)
−0.357940 + 0.933744i \(0.616521\pi\)
\(744\) 9.77395 + 1.73515i 0.358330 + 0.0636136i
\(745\) −11.4332 + 7.61143i −0.418880 + 0.278861i
\(746\) −4.08222 + 11.2158i −0.149461 + 0.410640i
\(747\) −17.9156 + 14.9620i −0.655496 + 0.547430i
\(748\) −2.11897 1.22339i −0.0774771 0.0447315i
\(749\) 13.0811 + 22.6571i 0.477972 + 0.827872i
\(750\) −6.33913 + 18.2980i −0.231472 + 0.668147i
\(751\) −0.304362 0.0536673i −0.0111063 0.00195835i 0.168092 0.985771i \(-0.446239\pi\)
−0.179199 + 0.983813i \(0.557350\pi\)
\(752\) −5.03088 8.71373i −0.183457 0.317757i
\(753\) 7.06386 + 40.3357i 0.257421 + 1.46992i
\(754\) 2.98587 3.55842i 0.108739 0.129590i
\(755\) −31.1581 3.46583i −1.13396 0.126135i
\(756\) −19.2913 16.3025i −0.701617 0.592915i
\(757\) −2.59295 3.09015i −0.0942422 0.112313i 0.716862 0.697215i \(-0.245578\pi\)
−0.811104 + 0.584901i \(0.801133\pi\)
\(758\) −1.02188 5.79539i −0.0371165 0.210498i
\(759\) 2.87713 2.40849i 0.104433 0.0874228i
\(760\) −4.10431 + 8.84051i −0.148879 + 0.320679i
\(761\) 14.3401i 0.519829i −0.965632 0.259914i \(-0.916306\pi\)
0.965632 0.259914i \(-0.0836943\pi\)
\(762\) 11.0023 + 9.25386i 0.398570 + 0.335232i
\(763\) 28.0345 23.5237i 1.01492 0.851617i
\(764\) −1.23123 3.38277i −0.0445442 0.122384i
\(765\) 29.1883 + 8.63520i 1.05531 + 0.312206i
\(766\) 25.6235 + 21.5007i 0.925814 + 0.776850i
\(767\) −0.560551 + 0.970903i −0.0202403 + 0.0350573i
\(768\) −0.594291 + 1.62690i −0.0214446 + 0.0587059i
\(769\) 2.10898 11.9606i 0.0760518 0.431311i −0.922879 0.385089i \(-0.874171\pi\)
0.998931 0.0462222i \(-0.0147182\pi\)
\(770\) −0.373403 5.84893i −0.0134565 0.210781i
\(771\) 37.6614 + 13.7573i 1.35634 + 0.495458i
\(772\) −10.1029 + 17.4987i −0.363610 + 0.629791i
\(773\) 21.5467 25.6784i 0.774982 0.923588i −0.223713 0.974655i \(-0.571818\pi\)
0.998695 + 0.0510670i \(0.0162622\pi\)
\(774\) −18.2402