Properties

Label 570.2.bf.a.29.40
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 29.40
Character \(\chi\) \(=\) 570.29
Dual form 570.2.bf.a.59.40

$q$-expansion

\(f(q)\) \(=\) \(q+(0.984808 - 0.173648i) q^{2} +(1.70539 + 0.302753i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.23914 - 1.86133i) q^{5} +(1.73205 + 0.00201678i) q^{6} +(-4.20953 - 2.43037i) q^{7} +(0.866025 - 0.500000i) q^{8} +(2.81668 + 1.03262i) q^{9} +O(q^{10})\) \(q+(0.984808 - 0.173648i) q^{2} +(1.70539 + 0.302753i) q^{3} +(0.939693 - 0.342020i) q^{4} +(1.23914 - 1.86133i) 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} +(0.897098 - 2.04822i) 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} +(2.67673 - 2.79912i) 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} +(-1.92907 - 4.61288i) 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} +(2.15000 - 3.22141i) 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} +(-9.73990 + 4.82373i) q^{35} +(2.99999 + 0.00698632i) q^{36} -8.71474 q^{37} +(3.40863 + 2.71684i) q^{38} +(5.56546 + 6.64836i) q^{39} +(0.142463 - 2.23153i) 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} +(5.41231 - 3.96320i) 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} +(-2.70078 - 4.20783i) 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} +(-0.0768201 + 1.20330i) q^{55} -4.86074 q^{56} +(3.93092 + 6.44576i) q^{57} -0.927955i q^{58} +(-0.0388901 - 0.220557i) q^{59} +(1.55795 - 3.54581i) 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} +(10.7409 - 3.15044i) 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} +(-8.75430 + 6.44177i) 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} +(-1.89324 - 8.45078i) q^{75} +(3.82862 + 2.08366i) q^{76} +2.62104 q^{77} +(6.63538 + 5.58092i) q^{78} +(-3.29052 - 3.92149i) q^{79} +(-0.247201 - 2.22236i) 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} +(-9.29393 - 4.07063i) 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} +(4.64188 - 4.84282i) q^{90} +(-8.32205 - 22.8646i) q^{91} +(-3.07754 + 2.58236i) q^{92} +(7.59691 + 6.38966i) q^{93} +10.0618i q^{94} +(9.65683 - 1.32121i) 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
\(5\) 1.23914 1.86133i 0.554160 0.832410i
\(6\) 1.73205 + 0.00201678i 0.707106 + 0.000823347i
\(7\) −4.20953 2.43037i −1.59105 0.918594i −0.993127 0.117042i \(-0.962659\pi\)
−0.597925 0.801552i \(-0.704008\pi\)
\(8\) 0.866025 0.500000i 0.306186 0.176777i
\(9\) 2.81668 + 1.03262i 0.938894 + 0.344208i
\(10\) 0.897098 2.04822i 0.283687 0.647705i
\(11\) −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 0.994453 0.105185i \(-0.0335434\pi\)
0.0690982 + 0.997610i \(0.477988\pi\)
\(14\) −4.56760 1.66247i −1.22074 0.444314i
\(15\) 2.67673 2.79912i 0.691130 0.722731i
\(16\) 0.766044 0.642788i 0.191511 0.160697i
\(17\) −0.787939 4.46862i −0.191103 1.08380i −0.917860 0.396905i \(-0.870084\pi\)
0.726757 0.686895i \(-0.241027\pi\)
\(18\) 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 −0.704161 0.710040i \(-0.748677\pi\)
−0.0830135 + 0.996548i \(0.526454\pi\)
\(24\) 1.62828 0.590501i 0.332372 0.120535i
\(25\) −1.92907 4.61288i −0.385813 0.922577i
\(26\) 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 \(0.0280964\pi\)
\(30\) 2.15000 3.22141i 0.392535 0.588146i
\(31\) 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
\(35\) −9.73990 + 4.82373i −1.64634 + 0.815360i
\(36\) 2.99999 + 0.00698632i 0.499999 + 0.00116439i
\(37\) −8.71474 −1.43269 −0.716347 0.697744i \(-0.754187\pi\)
−0.716347 + 0.697744i \(0.754187\pi\)
\(38\) 3.40863 + 2.71684i 0.552953 + 0.440730i
\(39\) 5.56546 + 6.64836i 0.891186 + 1.06459i
\(40\) 0.142463 2.23153i 0.0225254 0.352835i
\(41\) 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 \(0.485779\pi\)
−0.676360 + 0.736571i \(0.736443\pi\)
\(44\) −0.346608 + 0.413072i −0.0522532 + 0.0622729i
\(45\) 5.41231 3.96320i 0.806819 0.590799i
\(46\) −3.47920 + 2.00872i −0.512981 + 0.296169i
\(47\) −1.74721 + 9.90889i −0.254856 + 1.44536i 0.541586 + 0.840645i \(0.317824\pi\)
−0.796442 + 0.604715i \(0.793287\pi\)
\(48\) 1.50101 0.864278i 0.216652 0.124748i
\(49\) 8.31341 + 14.3993i 1.18763 + 2.05704i
\(50\) −2.70078 4.20783i −0.381948 0.595076i
\(51\) 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 \(-0.880747\pi\)
0.477687 0.878530i \(-0.341475\pi\)
\(54\) 4.87655 + 1.79423i 0.663614 + 0.244164i
\(55\) −0.0768201 + 1.20330i −0.0103584 + 0.162253i
\(56\) −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 \(0.949085\pi\)
\(60\) 1.55795 3.54581i 0.201130 0.457763i
\(61\) −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
\(65\) 10.7409 3.15044i 1.33224 0.390764i
\(66\) −0.809384 + 0.466042i −0.0996283 + 0.0573658i
\(67\) −0.877212 + 4.97491i −0.107168 + 0.607783i 0.883164 + 0.469065i \(0.155409\pi\)
−0.990332 + 0.138717i \(0.955702\pi\)
\(68\) −2.26878 3.92964i −0.275130 0.476539i
\(69\) −6.85409 + 1.20033i −0.825136 + 0.144503i
\(70\) −8.75430 + 6.44177i −1.04634 + 0.769938i
\(71\) 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 0.743073 0.669210i \(-0.233367\pi\)
−0.788077 + 0.615577i \(0.788923\pi\)
\(74\) −8.58235 + 1.51330i −0.997678 + 0.175917i
\(75\) −1.89324 8.45078i −0.218612 0.975812i
\(76\) 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 \(0.870760\pi\)
\(80\) −0.247201 2.22236i −0.0276379 0.248468i
\(81\) 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 −0.569594 0.821926i \(-0.692900\pi\)
0.996606 + 0.0823202i \(0.0262330\pi\)
\(84\) −7.90797 2.88870i −0.862830 0.315183i
\(85\) −9.29393 4.07063i −1.00807 0.441522i
\(86\) −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 \(0.789778\pi\)
\(90\) 4.64188 4.84282i 0.489297 0.510479i
\(91\) −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
\(95\) 9.65683 1.32121i 0.990770 0.135553i
\(96\) 1.32812 1.11180i 0.135551 0.113472i
\(97\) 1.78915 + 10.1468i 0.181661 + 1.03025i 0.930171 + 0.367126i \(0.119658\pi\)
−0.748510 + 0.663123i \(0.769231\pi\)
\(98\) 10.6875 + 12.7369i 1.07960 + 1.28662i
\(99\) −1.59375 + 0.277197i −0.160178 + 0.0278593i
\(100\) −3.39043 3.67491i −0.339043 0.367491i
\(101\) 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 0.835322 0.549760i \(-0.185281\pi\)
−0.893768 + 0.448530i \(0.851948\pi\)
\(104\) 4.92978 + 0.869253i 0.483405 + 0.0852373i
\(105\) −18.0707 + 5.27753i −1.76352 + 0.515035i
\(106\) −4.82066 8.34964i −0.468224 0.810988i
\(107\) −4.66124 2.69117i −0.450619 0.260165i 0.257473 0.966286i \(-0.417110\pi\)
−0.708092 + 0.706121i \(0.750444\pi\)
\(108\) 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 \(-0.00630766\pi\)
\(110\) 0.133298 + 1.19836i 0.0127094 + 0.114259i
\(111\) −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 \(0.123791\pi\)
−0.925327 + 0.379170i \(0.876209\pi\)
\(114\) 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
\(120\) 0.918557 3.76248i 0.0838524 0.343466i
\(121\) −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
\(125\) −10.9765 2.12538i −0.981765 0.190100i
\(126\) −11.1488 9.39927i −0.993212 0.837353i
\(127\) −6.35838 5.33532i −0.564215 0.473433i 0.315505 0.948924i \(-0.397826\pi\)
−0.879721 + 0.475491i \(0.842270\pi\)
\(128\) 0.342020 0.939693i 0.0302306 0.0830579i
\(129\) −10.5099 + 18.1548i −0.925341 + 1.59844i
\(130\) 10.0306 4.96771i 0.879744 0.435697i
\(131\) −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
\(135\) 10.4299 5.12019i 0.897667 0.440675i
\(136\) −2.91669 3.47597i −0.250104 0.298062i
\(137\) 15.6459 5.69464i 1.33672 0.486526i 0.427941 0.903807i \(-0.359239\pi\)
0.908778 + 0.417281i \(0.137017\pi\)
\(138\) −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 \(0.621200\pi\)
\(140\) −7.50270 + 7.86407i −0.634094 + 0.664635i
\(141\) −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
\(145\) −1.50131 1.43233i −0.124677 0.118948i
\(146\) −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 \(0.858737\pi\)
\(150\) −3.33194 7.99363i −0.272052 0.652678i
\(151\) 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
\(155\) 11.4842 5.68758i 0.922430 0.456838i
\(156\) 7.50369 + 4.34391i 0.600776 + 0.347792i
\(157\) 1.49550 4.10885i 0.119354 0.327922i −0.865601 0.500735i \(-0.833063\pi\)
0.984955 + 0.172813i \(0.0552855\pi\)
\(158\) −3.92149 3.29052i −0.311977 0.261780i
\(159\) −2.88065 16.4489i −0.228450 1.30449i
\(160\) −0.629355 2.14567i −0.0497549 0.169630i
\(161\) 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 −0.391552 0.920156i \(-0.628062\pi\)
0.601103 + 0.799172i \(0.294728\pi\)
\(164\) 0.537195 0.930450i 0.0419479 0.0726559i
\(165\) −0.495311 + 2.02883i −0.0385599 + 0.157944i
\(166\) 2.66109 7.31130i 0.206541 0.567467i
\(167\) −5.83488 16.0312i −0.451517 1.24053i −0.931657 0.363340i \(-0.881636\pi\)
0.480140 0.877192i \(-0.340586\pi\)
\(168\) −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 0.0255677 0.999673i \(-0.491861\pi\)
0.365934 + 0.930641i \(0.380750\pi\)
\(174\) 0.280942 1.58252i 0.0212981 0.119971i
\(175\) −3.09056 + 24.1064i −0.233625 + 1.82227i
\(176\) −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 \(0.540738\pi\)
\(180\) 3.73041 5.57531i 0.278048 0.415559i
\(181\) −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
\(185\) −10.7988 + 16.2210i −0.793942 + 1.19259i
\(186\) 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
\(190\) 9.28070 2.97803i 0.673293 0.216049i
\(191\) 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 0.115870 0.993264i \(-0.463034\pi\)
0.998295 + 0.0583686i \(0.0185899\pi\)
\(194\) 3.52394 + 9.68194i 0.253004 + 0.695123i
\(195\) 19.2711 2.12088i 1.38003 0.151880i
\(196\) 12.7369 + 10.6875i 0.909778 + 0.763394i
\(197\) 0.740333 1.28229i 0.0527465 0.0913597i −0.838447 0.544984i \(-0.816536\pi\)
0.891193 + 0.453624i \(0.149869\pi\)
\(198\) −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 \(0.930757\pi\)
\(200\) −3.97706 3.03034i −0.281221 0.214277i
\(201\) −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
\(205\) −0.265591 2.38768i −0.0185497 0.166763i
\(206\) −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
\(210\) −16.8797 + 8.33530i −1.16481 + 0.575190i
\(211\) −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
\(215\) 16.0507 + 21.8127i 1.09465 + 1.48762i
\(216\) 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
\(220\) 0.339365 + 1.15700i 0.0228800 + 0.0780053i
\(221\) 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 −0.181722 0.983350i \(-0.558167\pi\)
−0.771292 + 0.636481i \(0.780389\pi\)
\(224\) −4.56760 + 1.66247i −0.305186 + 0.111079i
\(225\) −0.670198 14.9850i −0.0446798 0.999001i
\(226\) 1.39983 + 7.93881i 0.0931150 + 0.528082i
\(227\) 20.9974i 1.39365i −0.717243 0.696823i \(-0.754596\pi\)
0.717243 0.696823i \(-0.245404\pi\)
\(228\) 5.89844 + 4.71258i 0.390634 + 0.312098i
\(229\) −24.8343 −1.64110 −0.820549 0.571577i \(-0.806332\pi\)
−0.820549 + 0.571577i \(0.806332\pi\)
\(230\) −0.572338 + 8.96501i −0.0377388 + 0.591135i
\(231\) 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 \(-0.991729\pi\)
−0.782486 0.622668i \(-0.786049\pi\)
\(234\) 9.62624 + 11.5265i 0.629287 + 0.753512i
\(235\) 16.2786 + 15.5306i 1.06190 + 1.01311i
\(236\) −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 \(0.0356538\pi\)
\(240\) 0.251254 3.86482i 0.0162184 0.249473i
\(241\) 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
\(245\) 37.1032 + 2.36871i 2.37044 + 0.151332i
\(246\) 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
\(250\) −11.1788 0.187052i −0.707008 0.0118302i
\(251\) −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
\(255\) −14.6173 9.75577i −0.915373 0.610930i
\(256\) 0.173648 0.984808i 0.0108530 0.0615505i
\(257\) 22.7974 + 4.01980i 1.42206 + 0.250748i 0.831178 0.556006i \(-0.187667\pi\)
0.590887 + 0.806755i \(0.298778\pi\)
\(258\) −7.19765 + 19.7040i −0.448106 + 1.22671i
\(259\) 36.6849 + 21.1801i 2.27949 + 1.31607i
\(260\) 9.01560 6.63404i 0.559124 0.411426i
\(261\) 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 −0.995789 0.0916768i \(-0.970777\pi\)
−0.0826329 + 0.996580i \(0.526333\pi\)
\(264\) −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 \(0.485516\pi\)
\(270\) 9.38238 6.85354i 0.570993 0.417093i
\(271\) −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
\(275\) 2.14454 + 1.63404i 0.129321 + 0.0985364i
\(276\) −6.03020 + 3.47218i −0.362976 + 0.209001i
\(277\) 11.5083 6.64433i 0.691467 0.399219i −0.112694 0.993630i \(-0.535948\pi\)
0.804161 + 0.594411i \(0.202615\pi\)
\(278\) 6.37266 + 3.67926i 0.382207 + 0.220667i
\(279\) 11.0212 + 13.1968i 0.659821 + 0.790073i
\(280\) −6.02314 + 9.04743i −0.359951 + 0.540687i
\(281\) 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 −0.0859467 0.996300i \(-0.527391\pi\)
0.259991 + 0.965611i \(0.416280\pi\)
\(284\) 3.81321 0.226272
\(285\) 16.8686 + 0.670469i 0.999211 + 0.0397152i
\(286\) −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
\(290\) −1.72723 1.14987i −0.101426 0.0675225i
\(291\) −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 −0.492126 0.870524i \(-0.663780\pi\)
0.507832 + 0.861456i \(0.330447\pi\)
\(294\) 14.3702 + 24.9570i 0.838087 + 1.45552i
\(295\) −0.458719 0.200914i −0.0267076 0.0116976i
\(296\) −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
\(300\) −4.66940 7.29361i −0.269588 0.421097i
\(301\) 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 −0.267498 0.963558i \(-0.586197\pi\)
0.902469 + 0.430755i \(0.141753\pi\)
\(308\) 2.46298 0.896450i 0.140341 0.0510800i
\(309\) −0.700518 1.93165i −0.0398510 0.109888i
\(310\) 10.3221 7.59538i 0.586253 0.431389i
\(311\) −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 0.872720 0.488221i \(-0.162354\pi\)
0.653107 + 0.757266i \(0.273465\pi\)
\(314\) 0.759285 4.30612i 0.0428489 0.243008i
\(315\) −32.4153 + 3.52927i −1.82640 + 0.198852i
\(316\) −4.43331 2.55957i −0.249393 0.143987i
\(317\) 8.51418 10.1468i 0.478204 0.569901i −0.471973 0.881613i \(-0.656458\pi\)
0.950177 + 0.311712i \(0.100902\pi\)
\(318\) −5.69321 15.6988i −0.319259 0.880346i
\(319\) 0.171140 + 0.470202i 0.00958198 + 0.0263263i
\(320\) −0.992386 2.00379i −0.0554760 0.112015i
\(321\) −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
\(325\) 7.44544 23.8961i 0.412999 1.32552i
\(326\) 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
\(330\) −0.135483 + 2.08402i −0.00745809 + 0.114721i
\(331\) −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
\(335\) 8.17295 + 7.79739i 0.446536 + 0.426017i
\(336\) −8.41905 0.00980305i −0.459297 0.000534800i
\(337\) 19.9154 + 7.24861i 1.08486 + 0.394857i 0.821715 0.569899i \(-0.193018\pi\)
0.263146 + 0.964756i \(0.415240\pi\)
\(338\) 4.12419 + 11.3311i 0.224326 + 0.616331i
\(339\) −2.44058 + 13.7476i −0.132554 + 0.746666i
\(340\) −10.1257 0.646435i −0.549142 0.0350579i
\(341\) −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
\(345\) −6.25897 + 14.2451i −0.336971 + 0.766930i
\(346\) 4.91350 1.78837i 0.264152 0.0961433i
\(347\) −28.5211 10.3808i −1.53109 0.557272i −0.567204 0.823578i \(-0.691975\pi\)
−0.963889 + 0.266305i \(0.914197\pi\)
\(348\) 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 \(0.0654001\pi\)
\(350\) 1.14242 + 24.2769i 0.0610652 + 1.29765i
\(351\) 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 \(0.0648645\pi\)
−0.314396 + 0.949292i \(0.601802\pi\)
\(354\) −0.0669148 0.382094i −0.00355648 0.0203081i
\(355\) 6.86767 5.05351i 0.364498 0.268212i
\(356\) −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 \(0.395381\pi\)
\(360\) 2.70560 6.13838i 0.142597 0.323521i
\(361\) −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
\(365\) −1.32939 + 0.147873i −0.0695836 + 0.00774003i
\(366\) −4.12413 + 1.49563i −0.215572 + 0.0781776i
\(367\) 14.1622 16.8778i 0.739259 0.881014i −0.257090 0.966387i \(-0.582764\pi\)
0.996349 + 0.0853731i \(0.0272082\pi\)
\(368\) −2.00872 + 3.47920i −0.104712 + 0.181366i
\(369\) 3.03135 1.09533i 0.157806 0.0570208i
\(370\) −7.81798 + 17.8497i −0.406437 + 0.927963i
\(371\) −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 −0.978144 0.207927i \(-0.933328\pi\)
0.669143 + 0.743134i \(0.266662\pi\)
\(374\) 1.87434 + 1.57276i 0.0969197 + 0.0813253i
\(375\) −18.0756 6.94776i −0.933422 0.358781i
\(376\) 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 \(0.951705\pi\)
\(380\) 8.62257 4.54436i 0.442329 0.233121i
\(381\) −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 \(0.103966\pi\)
0.151499 + 0.988457i \(0.451590\pi\)
\(384\) 0.867771 1.49899i 0.0442833 0.0764950i
\(385\) 3.24784 4.87862i 0.165525 0.248637i
\(386\) 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 \(0.764330\pi\)
\(390\) 18.6101 5.43506i 0.942358 0.275215i
\(391\) 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
\(395\) −11.3766 + 1.26546i −0.572418 + 0.0636721i
\(396\) −1.40283 + 0.805576i −0.0704950 + 0.0404817i
\(397\) 12.6978 2.23897i 0.637285 0.112370i 0.154335 0.988019i \(-0.450677\pi\)
0.482950 + 0.875648i \(0.339565\pi\)
\(398\) 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
\(405\) 19.3372 5.57419i 0.960875 0.276984i
\(406\) −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 \(0.778376\pi\)
\(410\) −0.676173 2.30529i −0.0333938 0.113850i
\(411\) 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
\(415\) −7.72128 15.5905i −0.379023 0.765309i
\(416\) 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 \(0.923347\pi\)
\(420\) −15.1759 + 11.1398i −0.740507 + 0.543567i
\(421\) 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
\(425\) −19.0932 + 12.2549i −0.926158 + 0.594452i
\(426\) 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
\(430\) 19.5946 + 18.6942i 0.944935 + 0.901514i
\(431\) 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 −0.452555 0.891737i \(-0.649487\pi\)
0.226520 + 0.974007i \(0.427265\pi\)
\(434\) −17.9068 21.3405i −0.859553 1.02438i
\(435\) −2.12668 2.89720i −0.101966 0.138910i
\(436\) 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 \(0.403347\pi\)
\(440\) 0.535121 + 1.08050i 0.0255109 + 0.0515107i
\(441\) 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 0.302688 0.953090i \(-0.402116\pi\)
−0.886049 + 0.463592i \(0.846561\pi\)
\(444\) −14.8681 + 2.60380i −0.705609 + 0.123571i
\(445\) −8.52783 + 2.50133i −0.404258 + 0.118574i
\(446\) −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 \(-0.178530\pi\)
\(450\) −3.26214 14.6410i −0.153779 0.690183i
\(451\) −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 \(0.315964\pi\)
−0.546490 + 0.837465i \(0.684036\pi\)
\(458\) −24.4570 + 4.31243i −1.14280 + 0.201507i
\(459\) 8.14144 22.1276i 0.380010 1.03283i
\(460\) 0.993116 + 8.92820i 0.0463043 + 0.416279i
\(461\) −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 0.564546 0.825402i \(-0.309051\pi\)
−0.432546 + 0.901612i \(0.642385\pi\)
\(464\) −0.463978 0.803633i −0.0215396 0.0373077i
\(465\) 21.3069 6.22266i 0.988082 0.288569i
\(466\) −28.5094 5.02697i −1.32067 0.232870i
\(467\) −0.909499 1.57530i −0.0420866 0.0728961i 0.844215 0.536005i \(-0.180067\pi\)
−0.886301 + 0.463109i \(0.846734\pi\)
\(468\) 11.4816 + 9.67982i 0.530735 + 0.447450i
\(469\) 15.7835 18.8101i 0.728816 0.868569i
\(470\) 18.7282 + 12.4679i 0.863867 + 0.575102i
\(471\) 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
\(475\) 9.50696 19.6117i 0.436209 0.899845i
\(476\) 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 \(0.667577\pi\)
\(480\) −0.423683 3.84974i −0.0193384 0.175716i
\(481\) −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
\(485\) 21.1035 + 9.24308i 0.958259 + 0.419707i
\(486\) 11.8829 + 10.0894i 0.539020 + 0.457665i
\(487\) 2.70410 4.68364i 0.122534 0.212236i −0.798232 0.602350i \(-0.794231\pi\)
0.920766 + 0.390114i \(0.127564\pi\)
\(488\) −1.62806 + 1.94024i −0.0736987 + 0.0878307i
\(489\) 5.03018 1.82421i 0.227473 0.0824935i
\(490\) 36.9508 4.11017i 1.66927 0.185679i
\(491\) 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
\(495\) −1.45893 + 3.30998i −0.0655741 + 0.148773i
\(496\) 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 \(0.800067\pi\)
\(500\) −11.0414 + 1.75696i −0.493788 + 0.0785738i
\(501\) −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 \(-0.881547\pi\)
0.999734 0.0230641i \(-0.00734218\pi\)
\(504\) −13.6912 5.01931i −0.609853 0.223578i
\(505\) −6.64718 22.6624i −0.295796 1.00846i
\(506\) 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 \(0.377504\pi\)
\(510\) −16.0893 7.06928i −0.712448 0.313033i
\(511\) 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
\(515\) −2.64728 0.169006i −0.116653 0.00744729i
\(516\) −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
\(520\) 7.72665 8.09880i 0.338836 0.355156i
\(521\) 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 −0.996910 0.0785474i \(-0.974972\pi\)
0.963654 + 0.267153i \(0.0860829\pi\)
\(524\) −8.40964 + 4.85531i −0.367377 + 0.212105i
\(525\) −12.5689 + 40.1751i −0.548552 + 1.75338i
\(526\) −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
\(530\) −21.5149 1.37354i −0.934546 0.0596626i
\(531\) 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
\(535\) −10.7851 + 5.34135i −0.466279 + 0.230927i
\(536\) 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
\(540\) 8.04973 8.37865i 0.346405 0.360560i
\(541\) −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
\(545\) −9.97788 13.5599i −0.427406 0.580840i
\(546\) −14.3681 39.6195i −0.614898 1.69556i
\(547\) −4.51375 + 1.64287i −0.192994 + 0.0702440i −0.436709 0.899603i \(-0.643856\pi\)
0.243715 + 0.969847i \(0.421634\pi\)
\(548\) 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
\(555\) −23.3270 + 24.3937i −0.990178 + 1.03545i
\(556\) 6.91475 + 2.51676i 0.293251 + 0.106734i
\(557\) 18.9752 + 15.9220i 0.804003 + 0.674639i 0.949168 0.314769i \(-0.101927\pi\)
−0.145165 + 0.989407i \(0.546371\pi\)
\(558\) 13.1453 + 11.0825i 0.556487 + 0.469161i
\(559\) −52.5047 + 30.3136i −2.22071 + 1.28213i
\(560\) −4.36056 + 9.95588i −0.184267 + 0.420713i
\(561\) 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 −0.150700 0.988579i \(-0.548153\pi\)
−0.931485 + 0.363779i \(0.881486\pi\)
\(564\) −0.0202923 + 17.4275i −0.000854461 + 0.733828i
\(565\) 15.0047 + 9.98904i 0.631251 + 0.420242i
\(566\) 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 \(0.692030\pi\)
\(570\) 16.7288 2.26892i 0.700691 0.0950347i
\(571\) −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
\(575\) 13.6208 + 14.7637i 0.568028 + 0.615690i
\(576\) 2.30262 1.92301i 0.0959424 0.0801252i
\(577\) −17.8586 10.3107i −0.743465 0.429240i 0.0798627 0.996806i \(-0.474552\pi\)
−0.823328 + 0.567566i \(0.807885\pi\)
\(578\) −3.10853 + 1.79471i −0.129298 + 0.0746502i
\(579\) 30.3289 17.4634i 1.26043 0.725753i
\(580\) −1.90066 0.832467i −0.0789206 0.0345663i
\(581\) −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
\(585\) 33.5068 + 2.21748i 1.38534 + 0.0916814i
\(586\) 0.237806 0.199543i 0.00982366 0.00824303i
\(587\) 2.82242 + 16.0067i 0.116494 + 0.660668i 0.986000 + 0.166746i \(0.0533261\pi\)
−0.869506 + 0.493922i \(0.835563\pi\)
\(588\) 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 −0.775004 0.631957i \(-0.782252\pi\)
−0.187474 + 0.982270i \(0.560030\pi\)
\(594\) −2.76102 + 0.476904i −0.113286 + 0.0195676i
\(595\) 29.2299 + 39.7231i 1.19831 + 1.62849i
\(596\) −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 \(0.108601\pi\)
\(600\) −5.86498 6.37197i −0.239437 0.260135i
\(601\) −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
\(605\) 10.6277 + 21.4590i 0.432077 + 0.872434i
\(606\) 11.7753 14.0001i 0.478339 0.568716i
\(607\) −26.7979 −1.08769 −0.543847 0.839184i \(-0.683033\pi\)
−0.543847 + 0.839184i \(0.683033\pi\)
\(608\) 4.35752 0.109804i 0.176721 0.00445315i
\(609\) −5.99057 + 5.01481i −0.242750 + 0.203210i
\(610\) −0.360832 + 5.65203i −0.0146097 + 0.228844i
\(611\) −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 −0.996235 0.0866993i \(-0.972368\pi\)
0.818889 + 0.573952i \(0.194590\pi\)
\(614\) 9.33548 11.1256i 0.376749 0.448992i
\(615\) 0.269945 4.15233i 0.0108852 0.167438i
\(616\) 2.26989 1.31052i 0.0914565 0.0528024i
\(617\) 3.32232 18.8418i 0.133751 0.758542i −0.841970 0.539525i \(-0.818604\pi\)
0.975721 0.219017i \(-0.0702850\pi\)
\(618\) −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 \(-0.491343\pi\)
\(620\) 8.84632 9.27240i 0.355277 0.372388i
\(621\) −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
\(625\) −17.5574 + 17.7971i −0.702296 + 0.711885i
\(626\) 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
\(630\) −31.3100 + 9.10451i −1.24742 + 0.362732i
\(631\) 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
\(635\) −17.8097 + 5.22382i −0.706756 + 0.207301i
\(636\) −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
\(640\) −1.32526 1.80102i −0.0523856 0.0711916i
\(641\) 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 0.829017 0.559224i \(-0.188901\pi\)
−0.694685 + 0.719314i \(0.744456\pi\)
\(644\) 19.2311 3.39096i 0.757810 0.133622i
\(645\) 20.7687 + 42.0585i 0.817768 + 1.65605i
\(646\) 9.45475 17.3726i 0.371992 0.683515i
\(647\) 38.0110 1.49437 0.747184 0.664618i \(-0.231406\pi\)
0.747184 + 0.664618i \(0.231406\pi\)
\(648\) 8.85589 + 1.60410i 0.347892 + 0.0630149i
\(649\) 0.0776262 + 0.0925113i 0.00304710 + 0.00363139i
\(650\) 3.18281 24.8259i 0.124840 0.973754i
\(651\) −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 −0.859014 0.511953i \(-0.828922\pi\)
0.872871 + 0.487951i \(0.162256\pi\)
\(654\) 4.47441 12.2489i 0.174963 0.478971i
\(655\) −8.71137 + 19.8895i −0.340382 + 0.777147i
\(656\) 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 \(0.633346\pi\)
\(660\) 0.228461 + 2.07588i 0.00889284 + 0.0808037i
\(661\) 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
\(665\) −43.8617 17.9080i −1.70088 0.694444i
\(666\) −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
\(670\) 9.40279 + 6.25971i 0.363261 + 0.241834i
\(671\) 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 0.876983 0.480521i \(-0.159552\pi\)
−0.854635 + 0.519229i \(0.826219\pi\)
\(674\) 20.8715 + 3.68022i 0.803942 + 0.141757i
\(675\) 3.39382 25.7581i 0.130628 0.991431i
\(676\) 6.02916 + 10.4428i 0.231891 + 0.401647i
\(677\) −19.6923 11.3693i −0.756836 0.436959i 0.0713228 0.997453i \(-0.477278\pi\)
−0.828158 + 0.560494i \(0.810611\pi\)
\(678\) −0.0162578 + 13.9625i −0.000624377 + 0.536228i
\(679\) 17.1290 47.0614i 0.657349 1.80605i
\(680\) −10.0841 + 1.12169i −0.386707 + 0.0430148i
\(681\) 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 \(0.319332\pi\)
−0.537597 + 0.843202i \(0.680668\pi\)
\(684\) 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
\(690\) −3.69024 + 15.1155i −0.140485 + 0.575438i
\(691\) 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
\(695\) 15.7890 4.63112i 0.598910 0.175668i
\(696\) −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
\(700\) 5.34070 + 23.7097i 0.201859 + 0.896141i
\(701\) −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
\(705\) 23.0594 + 31.4141i 0.868468 + 1.18312i
\(706\) 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 \(0.668764\pi\)
\(710\) 5.88580 6.16929i 0.220890 0.231529i
\(711\) −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
\(715\) −4.16642 + 4.36709i −0.155815 + 0.163320i
\(716\) 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 \(-0.622681\pi\)
\(720\) 1.59857 6.51495i 0.0595753 0.242798i
\(721\) 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
\(725\) −4.52636 + 1.01958i −0.168105 + 0.0378664i
\(726\) −9.29317 + 16.0530i −0.344902 + 0.595784i
\(727\) 2.70548 7.43324i 0.100341 0.275683i −0.879357 0.476162i \(-0.842028\pi\)
0.979698 + 0.200479i \(0.0642497\pi\)
\(728\) −18.6394 15.6403i −0.690823 0.579670i
\(729\) 13.3363 + 23.4764i 0.493938 + 0.869497i
\(730\) −1.28352 + 0.376473i −0.0475051 + 0.0139339i
\(731\) 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 0.121566 0.992583i \(-0.461208\pi\)
0.920386 + 0.391012i \(0.127875\pi\)
\(734\) 11.0162 19.0806i 0.406616 0.704279i
\(735\) 62.5581 + 15.2727i 2.30749 + 0.563341i
\(736\) −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 0.357940 0.933744i \(-0.383479\pi\)
0.655713 + 0.755010i \(0.272368\pi\)
\(744\) 9.77395 + 1.73515i 0.358330 + 0.0636136i
\(745\) −13.6509 + 1.51844i −0.500130 + 0.0556312i
\(746\) −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
\(750\) −19.0075 3.70341i −0.694055 0.135229i
\(751\) −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
\(755\) −26.0963 17.3731i −0.949742 0.632271i
\(756\) −19.2913 16.3025i −0.701617 0.592915i
\(757\) 2.59295 + 3.09015i 0.0942422 + 0.112313i 0.811104 0.584901i \(-0.198867\pi\)
−0.716862 + 0.697215i \(0.754422\pi\)
\(758\) 1.02188 + 5.79539i 0.0371165 + 0.210498i
\(759\) 2.87713 2.40849i 0.104433 0.0874228i
\(760\) 7.70246 5.97262i 0.279398 0.216650i
\(761\) 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
\(765\) −21.9746 21.0628i −0.794493 0.761527i
\(766\) 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 \(-0.0147182\pi\)
\(770\) 2.35133 5.36848i 0.0847362 0.193467i
\(771\) 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 −0.998695 0.0510670i \(-0.983738\pi\)
0.223713 + 0.974655i