Properties

Label 280.2.ba.b.19.6
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.6
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +O(q^{10})\) \(q+(-1.30291 + 0.549923i) q^{2} +(0.833565 + 1.44378i) q^{3} +(1.39517 - 1.43300i) q^{4} +(-0.660510 - 2.13629i) q^{5} +(-1.88003 - 1.42272i) q^{6} +(2.56833 - 0.635367i) q^{7} +(-1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +(2.03538 + 2.42017i) q^{10} +(-0.395322 - 0.684718i) q^{11} +(3.23190 + 0.819810i) q^{12} -6.84388i q^{13} +(-2.99691 + 2.24021i) q^{14} +(2.53375 - 2.73436i) q^{15} +(-0.107006 - 3.99857i) q^{16} +(1.46309 + 2.53414i) q^{17} +(-0.0386651 + 0.309683i) q^{18} +(1.96683 + 1.13555i) q^{19} +(-3.98283 - 2.03397i) q^{20} +(3.05820 + 3.17847i) q^{21} +(0.891613 + 0.674732i) q^{22} +(-0.946588 + 1.63954i) q^{23} +(-4.66172 + 0.709156i) q^{24} +(-4.12745 + 2.82208i) q^{25} +(3.76361 + 8.91699i) q^{26} +5.36929 q^{27} +(2.67277 - 4.56687i) q^{28} +2.46658i q^{29} +(-1.79756 + 4.95600i) q^{30} +(2.87365 + 4.97731i) q^{31} +(2.33833 + 5.15095i) q^{32} +(0.659054 - 1.14151i) q^{33} +(-3.29986 - 2.49718i) q^{34} +(-3.05373 - 5.06702i) q^{35} +(-0.119925 - 0.424753i) q^{36} +(-2.59082 + 4.48744i) q^{37} +(-3.18708 - 0.397918i) q^{38} +(9.88103 - 5.70482i) q^{39} +(6.30782 + 0.459835i) q^{40} +3.71071i q^{41} +(-5.73248 - 2.45950i) q^{42} -9.52516i q^{43} +(-1.53275 - 0.388799i) q^{44} +(-0.481155 - 0.109485i) q^{45} +(0.331703 - 2.65673i) q^{46} +(-0.185107 - 0.106871i) q^{47} +(5.68384 - 3.48756i) q^{48} +(6.19262 - 3.26366i) q^{49} +(3.82579 - 5.94671i) q^{50} +(-2.43916 + 4.22474i) q^{51} +(-9.80732 - 9.54837i) q^{52} +(-3.21770 - 5.57322i) q^{53} +(-6.99572 + 2.95270i) q^{54} +(-1.20164 + 1.29679i) q^{55} +(-0.970960 + 7.42006i) q^{56} +3.78622i q^{57} +(-1.35643 - 3.21375i) q^{58} +(0.430991 - 0.248833i) q^{59} +(-0.383353 - 7.44577i) q^{60} +(-5.87951 + 10.1836i) q^{61} +(-6.48126 - 4.90472i) q^{62} +(0.161961 - 0.560949i) q^{63} +(-5.87926 - 5.42534i) q^{64} +(-14.6205 + 4.52045i) q^{65} +(-0.230945 + 1.84972i) q^{66} +(-2.83429 + 1.63638i) q^{67} +(5.67269 + 1.43894i) q^{68} -3.15617 q^{69} +(6.76522 + 4.92258i) q^{70} -4.40847i q^{71} +(0.389833 + 0.487468i) q^{72} +(3.18360 + 5.51416i) q^{73} +(0.907874 - 7.27150i) q^{74} +(-7.51495 - 3.60674i) q^{75} +(4.37131 - 1.23419i) q^{76} +(-1.45036 - 1.50741i) q^{77} +(-9.73693 + 12.8667i) q^{78} +(-5.25074 - 3.03152i) q^{79} +(-8.47142 + 2.86969i) q^{80} +(4.14463 + 7.17871i) q^{81} +(-2.04061 - 4.83474i) q^{82} -13.5430 q^{83} +(8.82147 + 0.0520984i) q^{84} +(4.44727 - 4.79940i) q^{85} +(5.23810 + 12.4105i) q^{86} +(-3.56120 + 2.05606i) q^{87} +(2.21085 - 0.336321i) q^{88} +(-9.86730 - 5.69689i) q^{89} +(0.687111 - 0.121949i) q^{90} +(-4.34837 - 17.5773i) q^{91} +(1.02882 + 3.64390i) q^{92} +(-4.79075 + 8.29782i) q^{93} +(0.299949 + 0.0374498i) q^{94} +(1.12675 - 4.95176i) q^{95} +(-5.48767 + 7.66967i) q^{96} +13.0656 q^{97} +(-6.27369 + 7.65773i) q^{98} -0.174479 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30291 + 0.549923i −0.921299 + 0.388854i
\(3\) 0.833565 + 1.44378i 0.481259 + 0.833565i 0.999769 0.0215069i \(-0.00684639\pi\)
−0.518510 + 0.855072i \(0.673513\pi\)
\(4\) 1.39517 1.43300i 0.697585 0.716502i
\(5\) −0.660510 2.13629i −0.295389 0.955377i
\(6\) −1.88003 1.42272i −0.767519 0.580823i
\(7\) 2.56833 0.635367i 0.970737 0.240146i
\(8\) −1.02974 + 2.63432i −0.364069 + 0.931372i
\(9\) 0.110340 0.191114i 0.0367799 0.0637046i
\(10\) 2.03538 + 2.42017i 0.643644 + 0.765325i
\(11\) −0.395322 0.684718i −0.119194 0.206450i 0.800254 0.599661i \(-0.204698\pi\)
−0.919449 + 0.393210i \(0.871364\pi\)
\(12\) 3.23190 + 0.819810i 0.932970 + 0.236659i
\(13\) 6.84388i 1.89815i −0.315049 0.949076i \(-0.602021\pi\)
0.315049 0.949076i \(-0.397979\pi\)
\(14\) −2.99691 + 2.24021i −0.800957 + 0.598722i
\(15\) 2.53375 2.73436i 0.654210 0.706009i
\(16\) −0.107006 3.99857i −0.0267516 0.999642i
\(17\) 1.46309 + 2.53414i 0.354851 + 0.614620i 0.987092 0.160152i \(-0.0511983\pi\)
−0.632242 + 0.774771i \(0.717865\pi\)
\(18\) −0.0386651 + 0.309683i −0.00911345 + 0.0729930i
\(19\) 1.96683 + 1.13555i 0.451222 + 0.260513i 0.708346 0.705865i \(-0.249442\pi\)
−0.257124 + 0.966378i \(0.582775\pi\)
\(20\) −3.98283 2.03397i −0.890589 0.454809i
\(21\) 3.05820 + 3.17847i 0.667353 + 0.693600i
\(22\) 0.891613 + 0.674732i 0.190093 + 0.143853i
\(23\) −0.946588 + 1.63954i −0.197377 + 0.341867i −0.947677 0.319230i \(-0.896576\pi\)
0.750300 + 0.661098i \(0.229909\pi\)
\(24\) −4.66172 + 0.709156i −0.951570 + 0.144756i
\(25\) −4.12745 + 2.82208i −0.825491 + 0.564416i
\(26\) 3.76361 + 8.91699i 0.738104 + 1.74877i
\(27\) 5.36929 1.03332
\(28\) 2.67277 4.56687i 0.505106 0.863057i
\(29\) 2.46658i 0.458033i 0.973423 + 0.229017i \(0.0735510\pi\)
−0.973423 + 0.229017i \(0.926449\pi\)
\(30\) −1.79756 + 4.95600i −0.328188 + 0.904838i
\(31\) 2.87365 + 4.97731i 0.516123 + 0.893951i 0.999825 + 0.0187183i \(0.00595857\pi\)
−0.483702 + 0.875233i \(0.660708\pi\)
\(32\) 2.33833 + 5.15095i 0.413361 + 0.910567i
\(33\) 0.659054 1.14151i 0.114727 0.198712i
\(34\) −3.29986 2.49718i −0.565921 0.428263i
\(35\) −3.05373 5.06702i −0.516175 0.856483i
\(36\) −0.119925 0.424753i −0.0199874 0.0707922i
\(37\) −2.59082 + 4.48744i −0.425929 + 0.737730i −0.996507 0.0835133i \(-0.973386\pi\)
0.570578 + 0.821243i \(0.306719\pi\)
\(38\) −3.18708 0.397918i −0.517012 0.0645509i
\(39\) 9.88103 5.70482i 1.58223 0.913502i
\(40\) 6.30782 + 0.459835i 0.997353 + 0.0727062i
\(41\) 3.71071i 0.579516i 0.957100 + 0.289758i \(0.0935748\pi\)
−0.957100 + 0.289758i \(0.906425\pi\)
\(42\) −5.73248 2.45950i −0.884541 0.379510i
\(43\) 9.52516i 1.45257i −0.687392 0.726286i \(-0.741245\pi\)
0.687392 0.726286i \(-0.258755\pi\)
\(44\) −1.53275 0.388799i −0.231070 0.0586137i
\(45\) −0.481155 0.109485i −0.0717263 0.0163210i
\(46\) 0.331703 2.65673i 0.0489069 0.391713i
\(47\) −0.185107 0.106871i −0.0270006 0.0155888i 0.486439 0.873715i \(-0.338296\pi\)
−0.513440 + 0.858126i \(0.671629\pi\)
\(48\) 5.68384 3.48756i 0.820392 0.503386i
\(49\) 6.19262 3.26366i 0.884660 0.466237i
\(50\) 3.82579 5.94671i 0.541049 0.840991i
\(51\) −2.43916 + 4.22474i −0.341550 + 0.591582i
\(52\) −9.80732 9.54837i −1.36003 1.32412i
\(53\) −3.21770 5.57322i −0.441985 0.765540i 0.555852 0.831281i \(-0.312392\pi\)
−0.997837 + 0.0657412i \(0.979059\pi\)
\(54\) −6.99572 + 2.95270i −0.951997 + 0.401811i
\(55\) −1.20164 + 1.29679i −0.162029 + 0.174859i
\(56\) −0.970960 + 7.42006i −0.129750 + 0.991547i
\(57\) 3.78622i 0.501497i
\(58\) −1.35643 3.21375i −0.178108 0.421985i
\(59\) 0.430991 0.248833i 0.0561102 0.0323953i −0.471682 0.881768i \(-0.656353\pi\)
0.527793 + 0.849373i \(0.323020\pi\)
\(60\) −0.383353 7.44577i −0.0494906 0.961244i
\(61\) −5.87951 + 10.1836i −0.752794 + 1.30388i 0.193670 + 0.981067i \(0.437961\pi\)
−0.946464 + 0.322810i \(0.895372\pi\)
\(62\) −6.48126 4.90472i −0.823120 0.622900i
\(63\) 0.161961 0.560949i 0.0204052 0.0706730i
\(64\) −5.87926 5.42534i −0.734908 0.678167i
\(65\) −14.6205 + 4.52045i −1.81345 + 0.560693i
\(66\) −0.230945 + 1.84972i −0.0284274 + 0.227685i
\(67\) −2.83429 + 1.63638i −0.346264 + 0.199916i −0.663039 0.748585i \(-0.730734\pi\)
0.316774 + 0.948501i \(0.397400\pi\)
\(68\) 5.67269 + 1.43894i 0.687915 + 0.174498i
\(69\) −3.15617 −0.379958
\(70\) 6.76522 + 4.92258i 0.808599 + 0.588361i
\(71\) 4.40847i 0.523189i −0.965178 0.261594i \(-0.915752\pi\)
0.965178 0.261594i \(-0.0842483\pi\)
\(72\) 0.389833 + 0.487468i 0.0459423 + 0.0574486i
\(73\) 3.18360 + 5.51416i 0.372612 + 0.645384i 0.989967 0.141302i \(-0.0451288\pi\)
−0.617354 + 0.786685i \(0.711795\pi\)
\(74\) 0.907874 7.27150i 0.105538 0.845294i
\(75\) −7.51495 3.60674i −0.867752 0.416470i
\(76\) 4.37131 1.23419i 0.501424 0.141572i
\(77\) −1.45036 1.50741i −0.165284 0.171785i
\(78\) −9.73693 + 12.8667i −1.10249 + 1.45687i
\(79\) −5.25074 3.03152i −0.590755 0.341072i 0.174641 0.984632i \(-0.444123\pi\)
−0.765396 + 0.643560i \(0.777457\pi\)
\(80\) −8.47142 + 2.86969i −0.947133 + 0.320841i
\(81\) 4.14463 + 7.17871i 0.460515 + 0.797635i
\(82\) −2.04061 4.83474i −0.225347 0.533908i
\(83\) −13.5430 −1.48654 −0.743271 0.668990i \(-0.766727\pi\)
−0.743271 + 0.668990i \(0.766727\pi\)
\(84\) 8.82147 + 0.0520984i 0.962501 + 0.00568440i
\(85\) 4.44727 4.79940i 0.482375 0.520568i
\(86\) 5.23810 + 12.4105i 0.564839 + 1.33825i
\(87\) −3.56120 + 2.05606i −0.381800 + 0.220432i
\(88\) 2.21085 0.336321i 0.235677 0.0358519i
\(89\) −9.86730 5.69689i −1.04593 0.603869i −0.124424 0.992229i \(-0.539708\pi\)
−0.921508 + 0.388360i \(0.873042\pi\)
\(90\) 0.687111 0.121949i 0.0724279 0.0128545i
\(91\) −4.34837 17.5773i −0.455833 1.84261i
\(92\) 1.02882 + 3.64390i 0.107262 + 0.379903i
\(93\) −4.79075 + 8.29782i −0.496777 + 0.860444i
\(94\) 0.299949 + 0.0374498i 0.0309374 + 0.00386265i
\(95\) 1.12675 4.95176i 0.115602 0.508040i
\(96\) −5.48767 + 7.66967i −0.560083 + 0.782782i
\(97\) 13.0656 1.32661 0.663303 0.748351i \(-0.269154\pi\)
0.663303 + 0.748351i \(0.269154\pi\)
\(98\) −6.27369 + 7.65773i −0.633738 + 0.773548i
\(99\) −0.174479 −0.0175358
\(100\) −1.71444 + 9.85194i −0.171444 + 0.985194i
\(101\) −5.16640 8.94847i −0.514076 0.890406i −0.999867 0.0163310i \(-0.994801\pi\)
0.485790 0.874075i \(-0.338532\pi\)
\(102\) 0.854727 6.84582i 0.0846306 0.677838i
\(103\) 17.1988 + 9.92971i 1.69464 + 0.978403i 0.950675 + 0.310189i \(0.100392\pi\)
0.743969 + 0.668214i \(0.232941\pi\)
\(104\) 18.0290 + 7.04744i 1.76788 + 0.691058i
\(105\) 4.77017 8.63260i 0.465521 0.842455i
\(106\) 7.25722 + 5.49193i 0.704884 + 0.533424i
\(107\) 13.9595 + 8.05950i 1.34951 + 0.779142i 0.988180 0.153295i \(-0.0489885\pi\)
0.361333 + 0.932437i \(0.382322\pi\)
\(108\) 7.49107 7.69422i 0.720828 0.740376i
\(109\) −12.8463 + 7.41679i −1.23045 + 0.710400i −0.967124 0.254307i \(-0.918153\pi\)
−0.263326 + 0.964707i \(0.584819\pi\)
\(110\) 0.852503 2.35041i 0.0812830 0.224103i
\(111\) −8.63847 −0.819928
\(112\) −2.81538 10.2016i −0.266029 0.963965i
\(113\) 4.32459i 0.406823i −0.979093 0.203411i \(-0.934797\pi\)
0.979093 0.203411i \(-0.0652029\pi\)
\(114\) −2.08213 4.93311i −0.195009 0.462029i
\(115\) 4.12776 + 0.939254i 0.384915 + 0.0875859i
\(116\) 3.53463 + 3.44130i 0.328182 + 0.319517i
\(117\) −1.30796 0.755151i −0.120921 0.0698138i
\(118\) −0.424705 + 0.561220i −0.0390973 + 0.0516644i
\(119\) 5.36780 + 5.57891i 0.492065 + 0.511418i
\(120\) 4.59408 + 9.49038i 0.419380 + 0.866349i
\(121\) 5.18744 8.98491i 0.471585 0.816810i
\(122\) 2.06029 16.5016i 0.186530 1.49399i
\(123\) −5.35744 + 3.09312i −0.483064 + 0.278897i
\(124\) 11.1417 + 2.82623i 1.00056 + 0.253803i
\(125\) 8.75499 + 6.95342i 0.783071 + 0.621933i
\(126\) 0.0974576 + 0.819935i 0.00868222 + 0.0730456i
\(127\) −4.67057 −0.414446 −0.207223 0.978294i \(-0.566443\pi\)
−0.207223 + 0.978294i \(0.566443\pi\)
\(128\) 10.6437 + 3.83561i 0.940778 + 0.339023i
\(129\) 13.7522 7.93983i 1.21081 0.699063i
\(130\) 16.5634 13.9299i 1.45270 1.22173i
\(131\) 13.4161 + 7.74576i 1.17217 + 0.676750i 0.954189 0.299204i \(-0.0967209\pi\)
0.217977 + 0.975954i \(0.430054\pi\)
\(132\) −0.716304 2.53703i −0.0623463 0.220820i
\(133\) 5.77295 + 1.66681i 0.500579 + 0.144530i
\(134\) 2.79296 3.69071i 0.241275 0.318829i
\(135\) −3.54647 11.4703i −0.305231 0.987210i
\(136\) −8.18234 + 1.24472i −0.701630 + 0.106734i
\(137\) −12.5411 + 7.24059i −1.07146 + 0.618606i −0.928579 0.371135i \(-0.878969\pi\)
−0.142877 + 0.989740i \(0.545635\pi\)
\(138\) 4.11222 1.73565i 0.350055 0.147748i
\(139\) 10.9687i 0.930349i 0.885219 + 0.465175i \(0.154008\pi\)
−0.885219 + 0.465175i \(0.845992\pi\)
\(140\) −11.5215 2.69334i −0.973748 0.227629i
\(141\) 0.356337i 0.0300090i
\(142\) 2.42432 + 5.74385i 0.203444 + 0.482013i
\(143\) −4.68613 + 2.70554i −0.391874 + 0.226249i
\(144\) −0.775989 0.420750i −0.0646657 0.0350625i
\(145\) 5.26933 1.62920i 0.437594 0.135298i
\(146\) −7.18032 5.43374i −0.594248 0.449699i
\(147\) 9.87394 + 6.22029i 0.814389 + 0.513041i
\(148\) 2.81588 + 9.97340i 0.231464 + 0.819808i
\(149\) −12.7792 7.37808i −1.04691 0.604436i −0.125130 0.992140i \(-0.539935\pi\)
−0.921784 + 0.387704i \(0.873268\pi\)
\(150\) 11.7748 + 0.566622i 0.961405 + 0.0462645i
\(151\) −13.6780 + 7.89697i −1.11310 + 0.642647i −0.939630 0.342193i \(-0.888830\pi\)
−0.173467 + 0.984840i \(0.555497\pi\)
\(152\) −5.01673 + 4.01193i −0.406910 + 0.325411i
\(153\) 0.645746 0.0522055
\(154\) 2.71866 + 1.16643i 0.219076 + 0.0939938i
\(155\) 8.73489 9.42651i 0.701603 0.757155i
\(156\) 5.61068 22.1188i 0.449214 1.77092i
\(157\) −8.15924 + 4.71074i −0.651178 + 0.375958i −0.788907 0.614512i \(-0.789353\pi\)
0.137729 + 0.990470i \(0.456020\pi\)
\(158\) 8.50836 + 1.06230i 0.676889 + 0.0845122i
\(159\) 5.36432 9.29127i 0.425418 0.736846i
\(160\) 9.45942 8.39759i 0.747833 0.663887i
\(161\) −1.38944 + 4.81230i −0.109503 + 0.379263i
\(162\) −9.34784 7.07402i −0.734435 0.555787i
\(163\) −4.19953 2.42460i −0.328932 0.189909i 0.326435 0.945220i \(-0.394153\pi\)
−0.655367 + 0.755311i \(0.727486\pi\)
\(164\) 5.31747 + 5.17707i 0.415225 + 0.404261i
\(165\) −2.87391 0.653947i −0.223734 0.0509097i
\(166\) 17.6454 7.44764i 1.36955 0.578049i
\(167\) 10.5301i 0.814840i 0.913241 + 0.407420i \(0.133572\pi\)
−0.913241 + 0.407420i \(0.866428\pi\)
\(168\) −11.5223 + 4.78325i −0.888962 + 0.369036i
\(169\) −33.8387 −2.60298
\(170\) −3.15511 + 8.69887i −0.241986 + 0.667173i
\(171\) 0.434039 0.250592i 0.0331918 0.0191633i
\(172\) −13.6496 13.2892i −1.04077 1.01329i
\(173\) 10.0480 + 5.80119i 0.763933 + 0.441057i 0.830706 0.556712i \(-0.187937\pi\)
−0.0667734 + 0.997768i \(0.521270\pi\)
\(174\) 3.50926 4.63725i 0.266036 0.351549i
\(175\) −8.80760 + 9.87047i −0.665792 + 0.746137i
\(176\) −2.69559 + 1.65399i −0.203188 + 0.124674i
\(177\) 0.718518 + 0.414836i 0.0540071 + 0.0311810i
\(178\) 15.9891 + 1.99630i 1.19843 + 0.149629i
\(179\) 9.70530 + 16.8101i 0.725408 + 1.25644i 0.958806 + 0.284062i \(0.0916822\pi\)
−0.233398 + 0.972381i \(0.574984\pi\)
\(180\) −0.828184 + 0.536747i −0.0617292 + 0.0400068i
\(181\) 16.8009 1.24880 0.624401 0.781104i \(-0.285343\pi\)
0.624401 + 0.781104i \(0.285343\pi\)
\(182\) 15.3317 + 20.5105i 1.13646 + 1.52034i
\(183\) −19.6038 −1.44915
\(184\) −3.34432 4.18192i −0.246547 0.308295i
\(185\) 11.2977 + 2.57075i 0.830625 + 0.189005i
\(186\) 1.67877 13.4459i 0.123093 0.985900i
\(187\) 1.15678 2.00361i 0.0845923 0.146518i
\(188\) −0.411402 + 0.116155i −0.0300046 + 0.00847148i
\(189\) 13.7901 3.41147i 1.00308 0.248148i
\(190\) 1.25503 + 7.07134i 0.0910491 + 0.513009i
\(191\) 9.58750 + 5.53535i 0.693727 + 0.400524i 0.805007 0.593266i \(-0.202162\pi\)
−0.111280 + 0.993789i \(0.535495\pi\)
\(192\) 2.93223 13.0107i 0.211616 0.938967i
\(193\) −2.30035 + 1.32811i −0.165583 + 0.0955994i −0.580501 0.814259i \(-0.697143\pi\)
0.414918 + 0.909859i \(0.363810\pi\)
\(194\) −17.0233 + 7.18505i −1.22220 + 0.515857i
\(195\) −18.7137 17.3406i −1.34011 1.24179i
\(196\) 3.96291 13.4274i 0.283065 0.959101i
\(197\) 9.96943 0.710292 0.355146 0.934811i \(-0.384431\pi\)
0.355146 + 0.934811i \(0.384431\pi\)
\(198\) 0.227331 0.0959500i 0.0161557 0.00681887i
\(199\) −0.373969 0.647733i −0.0265099 0.0459166i 0.852466 0.522783i \(-0.175106\pi\)
−0.878976 + 0.476866i \(0.841773\pi\)
\(200\) −3.18403 13.7790i −0.225145 0.974325i
\(201\) −4.72514 2.72806i −0.333285 0.192422i
\(202\) 11.6524 + 8.81797i 0.819857 + 0.620430i
\(203\) 1.56718 + 6.33500i 0.109995 + 0.444630i
\(204\) 2.65104 + 9.38955i 0.185610 + 0.657400i
\(205\) 7.92715 2.45096i 0.553656 0.171183i
\(206\) −27.8691 3.47956i −1.94173 0.242432i
\(207\) 0.208892 + 0.361812i 0.0145190 + 0.0251477i
\(208\) −27.3657 + 0.732338i −1.89747 + 0.0507785i
\(209\) 1.79563i 0.124207i
\(210\) −1.46785 + 13.8708i −0.101291 + 0.957173i
\(211\) −13.0773 −0.900281 −0.450140 0.892958i \(-0.648626\pi\)
−0.450140 + 0.892958i \(0.648626\pi\)
\(212\) −12.4757 3.16460i −0.856833 0.217346i
\(213\) 6.36484 3.67474i 0.436112 0.251789i
\(214\) −22.6201 2.82420i −1.54628 0.193059i
\(215\) −20.3485 + 6.29146i −1.38775 + 0.429074i
\(216\) −5.52899 + 14.1444i −0.376200 + 0.962405i
\(217\) 10.5429 + 10.9575i 0.715698 + 0.743846i
\(218\) 12.6589 16.7279i 0.857370 1.13296i
\(219\) −5.30748 + 9.19282i −0.358646 + 0.621193i
\(220\) 0.181807 + 3.53119i 0.0122574 + 0.238073i
\(221\) 17.3434 10.0132i 1.16664 0.673560i
\(222\) 11.2552 4.75050i 0.755399 0.318832i
\(223\) 4.09586i 0.274279i 0.990552 + 0.137140i \(0.0437909\pi\)
−0.990552 + 0.137140i \(0.956209\pi\)
\(224\) 9.27832 + 11.7436i 0.619934 + 0.784654i
\(225\) 0.0839164 + 1.10020i 0.00559443 + 0.0733467i
\(226\) 2.37819 + 5.63456i 0.158195 + 0.374806i
\(227\) 4.93818 + 8.55319i 0.327759 + 0.567695i 0.982067 0.188533i \(-0.0603733\pi\)
−0.654308 + 0.756228i \(0.727040\pi\)
\(228\) 5.42567 + 5.28241i 0.359324 + 0.349836i
\(229\) 1.67919 2.90845i 0.110964 0.192196i −0.805195 0.593010i \(-0.797939\pi\)
0.916159 + 0.400814i \(0.131273\pi\)
\(230\) −5.89463 + 1.04618i −0.388680 + 0.0689832i
\(231\) 0.967386 3.35052i 0.0636493 0.220448i
\(232\) −6.49776 2.53995i −0.426599 0.166756i
\(233\) −17.2096 9.93598i −1.12744 0.650927i −0.184150 0.982898i \(-0.558953\pi\)
−0.943290 + 0.331971i \(0.892286\pi\)
\(234\) 2.11943 + 0.264619i 0.138552 + 0.0172987i
\(235\) −0.106043 + 0.466031i −0.00691750 + 0.0304005i
\(236\) 0.244727 0.964776i 0.0159304 0.0628016i
\(237\) 10.1079i 0.656576i
\(238\) −10.0618 4.31696i −0.652206 0.279827i
\(239\) 6.74480i 0.436285i 0.975917 + 0.218142i \(0.0699997\pi\)
−0.975917 + 0.218142i \(0.930000\pi\)
\(240\) −11.2047 9.83876i −0.723258 0.635089i
\(241\) −1.18354 + 0.683317i −0.0762385 + 0.0440163i −0.537635 0.843178i \(-0.680682\pi\)
0.461396 + 0.887194i \(0.347349\pi\)
\(242\) −1.81778 + 14.5593i −0.116851 + 0.935905i
\(243\) 1.14430 1.98198i 0.0734067 0.127144i
\(244\) 6.39025 + 22.6332i 0.409094 + 1.44894i
\(245\) −11.0624 11.0735i −0.706751 0.707462i
\(246\) 5.27931 6.97625i 0.336596 0.444789i
\(247\) 7.77157 13.4607i 0.494493 0.856487i
\(248\) −16.0709 + 2.44476i −1.02051 + 0.155243i
\(249\) −11.2890 19.5531i −0.715412 1.23913i
\(250\) −15.2309 4.24513i −0.963284 0.268486i
\(251\) 15.4536i 0.975423i −0.873005 0.487712i \(-0.837832\pi\)
0.873005 0.487712i \(-0.162168\pi\)
\(252\) −0.577880 1.01471i −0.0364030 0.0639207i
\(253\) 1.49683 0.0941049
\(254\) 6.08535 2.56845i 0.381829 0.161159i
\(255\) 10.6364 + 2.42026i 0.666074 + 0.151562i
\(256\) −15.9771 + 0.855744i −0.998569 + 0.0534840i
\(257\) 12.5171 21.6802i 0.780792 1.35237i −0.150688 0.988581i \(-0.548149\pi\)
0.931481 0.363791i \(-0.118518\pi\)
\(258\) −13.5516 + 17.9076i −0.843688 + 1.11488i
\(259\) −3.80292 + 13.1713i −0.236302 + 0.818427i
\(260\) −13.9202 + 27.2580i −0.863297 + 1.69047i
\(261\) 0.471398 + 0.272162i 0.0291788 + 0.0168464i
\(262\) −21.7395 2.71426i −1.34307 0.167688i
\(263\) −14.1558 24.5185i −0.872883 1.51188i −0.859001 0.511974i \(-0.828914\pi\)
−0.0138820 0.999904i \(-0.504419\pi\)
\(264\) 2.32846 + 2.91162i 0.143307 + 0.179198i
\(265\) −9.78068 + 10.5551i −0.600822 + 0.648394i
\(266\) −8.43828 + 1.00298i −0.517384 + 0.0614964i
\(267\) 18.9949i 1.16247i
\(268\) −1.60938 + 6.34459i −0.0983085 + 0.387557i
\(269\) −1.84643 3.19810i −0.112579 0.194992i 0.804231 0.594317i \(-0.202578\pi\)
−0.916809 + 0.399325i \(0.869244\pi\)
\(270\) 10.9286 + 12.9946i 0.665090 + 0.790826i
\(271\) 0.382982 0.663345i 0.0232645 0.0402953i −0.854159 0.520012i \(-0.825927\pi\)
0.877423 + 0.479717i \(0.159261\pi\)
\(272\) 9.97638 6.12142i 0.604907 0.371166i
\(273\) 21.7531 20.9299i 1.31656 1.26674i
\(274\) 12.3582 16.3305i 0.746585 0.986562i
\(275\) 3.56400 + 1.71051i 0.214918 + 0.103148i
\(276\) −4.40339 + 4.52281i −0.265053 + 0.272241i
\(277\) 9.73148 + 16.8554i 0.584708 + 1.01274i 0.994912 + 0.100750i \(0.0321243\pi\)
−0.410204 + 0.911994i \(0.634542\pi\)
\(278\) −6.03192 14.2912i −0.361770 0.857130i
\(279\) 1.26831 0.0759318
\(280\) 16.4927 2.82677i 0.985628 0.168932i
\(281\) −7.20046 −0.429544 −0.214772 0.976664i \(-0.568901\pi\)
−0.214772 + 0.976664i \(0.568901\pi\)
\(282\) 0.195958 + 0.464276i 0.0116691 + 0.0276472i
\(283\) 5.91380 + 10.2430i 0.351539 + 0.608883i 0.986519 0.163645i \(-0.0523252\pi\)
−0.634980 + 0.772528i \(0.718992\pi\)
\(284\) −6.31735 6.15056i −0.374866 0.364968i
\(285\) 8.08845 2.50083i 0.479118 0.148137i
\(286\) 4.61779 6.10210i 0.273055 0.360825i
\(287\) 2.35766 + 9.53033i 0.139168 + 0.562558i
\(288\) 1.24243 + 0.121467i 0.0732107 + 0.00715752i
\(289\) 4.21875 7.30709i 0.248162 0.429829i
\(290\) −5.96955 + 5.02044i −0.350544 + 0.294810i
\(291\) 10.8910 + 18.8637i 0.638441 + 1.10581i
\(292\) 12.3435 + 3.13107i 0.722348 + 0.183232i
\(293\) 11.8864i 0.694410i −0.937789 0.347205i \(-0.887131\pi\)
0.937789 0.347205i \(-0.112869\pi\)
\(294\) −16.2856 2.67459i −0.949794 0.155985i
\(295\) −0.816252 0.756364i −0.0475240 0.0440372i
\(296\) −9.15345 11.4460i −0.532034 0.665283i
\(297\) −2.12260 3.67645i −0.123166 0.213329i
\(298\) 20.7076 + 2.58542i 1.19956 + 0.149769i
\(299\) 11.2208 + 6.47834i 0.648916 + 0.374652i
\(300\) −15.6531 + 5.73695i −0.903732 + 0.331223i
\(301\) −6.05197 24.4637i −0.348829 1.41007i
\(302\) 13.4785 17.8109i 0.775599 1.02490i
\(303\) 8.61306 14.9183i 0.494808 0.857032i
\(304\) 4.33011 7.98601i 0.248349 0.458029i
\(305\) 25.6386 + 5.83395i 1.46806 + 0.334051i
\(306\) −0.841352 + 0.355111i −0.0480969 + 0.0203003i
\(307\) −18.3489 −1.04723 −0.523615 0.851955i \(-0.675417\pi\)
−0.523615 + 0.851955i \(0.675417\pi\)
\(308\) −4.18363 0.0247079i −0.238384 0.00140786i
\(309\) 33.1082i 1.88346i
\(310\) −6.19696 + 17.0854i −0.351964 + 0.970388i
\(311\) 3.85642 + 6.67951i 0.218677 + 0.378760i 0.954404 0.298518i \(-0.0964924\pi\)
−0.735726 + 0.677279i \(0.763159\pi\)
\(312\) 4.85338 + 31.9043i 0.274769 + 1.80622i
\(313\) −8.58738 + 14.8738i −0.485387 + 0.840716i −0.999859 0.0167918i \(-0.994655\pi\)
0.514472 + 0.857507i \(0.327988\pi\)
\(314\) 8.04024 10.6246i 0.453737 0.599583i
\(315\) −1.30533 + 0.0245169i −0.0735468 + 0.00138137i
\(316\) −11.6699 + 3.29486i −0.656480 + 0.185350i
\(317\) 9.77351 16.9282i 0.548935 0.950784i −0.449413 0.893324i \(-0.648367\pi\)
0.998348 0.0574593i \(-0.0182999\pi\)
\(318\) −1.87976 + 15.0557i −0.105412 + 0.844281i
\(319\) 1.68892 0.975096i 0.0945611 0.0545949i
\(320\) −7.70678 + 16.1433i −0.430822 + 0.902437i
\(321\) 26.8725i 1.49988i
\(322\) −0.836075 7.03410i −0.0465927 0.391995i
\(323\) 6.64563i 0.369773i
\(324\) 16.0696 + 4.07624i 0.892755 + 0.226458i
\(325\) 19.3140 + 28.2478i 1.07135 + 1.56691i
\(326\) 6.80496 + 0.849625i 0.376892 + 0.0470564i
\(327\) −21.4164 12.3648i −1.18433 0.683773i
\(328\) −9.77520 3.82108i −0.539745 0.210984i
\(329\) −0.543317 0.156870i −0.0299540 0.00864853i
\(330\) 4.10408 0.728395i 0.225922 0.0400968i
\(331\) −1.08473 + 1.87881i −0.0596222 + 0.103269i −0.894296 0.447476i \(-0.852323\pi\)
0.834674 + 0.550745i \(0.185656\pi\)
\(332\) −18.8948 + 19.4073i −1.03699 + 1.06511i
\(333\) 0.571741 + 0.990284i 0.0313312 + 0.0542672i
\(334\) −5.79072 13.7198i −0.316854 0.750712i
\(335\) 5.36786 + 4.97403i 0.293278 + 0.271760i
\(336\) 12.3821 12.5685i 0.675499 0.685669i
\(337\) 0.664494i 0.0361973i 0.999836 + 0.0180986i \(0.00576129\pi\)
−0.999836 + 0.0180986i \(0.994239\pi\)
\(338\) 44.0889 18.6087i 2.39812 1.01218i
\(339\) 6.24374 3.60482i 0.339113 0.195787i
\(340\) −0.672867 13.0689i −0.0364913 0.708763i
\(341\) 2.27204 3.93528i 0.123038 0.213108i
\(342\) −0.427708 + 0.565188i −0.0231278 + 0.0305619i
\(343\) 13.8311 12.3167i 0.746807 0.665041i
\(344\) 25.0923 + 9.80846i 1.35289 + 0.528837i
\(345\) 2.08468 + 6.74249i 0.112235 + 0.363003i
\(346\) −16.2818 2.03285i −0.875317 0.109287i
\(347\) −23.4079 + 13.5146i −1.25660 + 0.725500i −0.972412 0.233268i \(-0.925058\pi\)
−0.284190 + 0.958768i \(0.591725\pi\)
\(348\) −2.02213 + 7.97176i −0.108398 + 0.427331i
\(349\) −22.2420 −1.19059 −0.595295 0.803508i \(-0.702965\pi\)
−0.595295 + 0.803508i \(0.702965\pi\)
\(350\) 6.04755 17.7039i 0.323255 0.946312i
\(351\) 36.7468i 1.96140i
\(352\) 2.60255 3.63738i 0.138717 0.193873i
\(353\) −6.08471 10.5390i −0.323856 0.560936i 0.657424 0.753521i \(-0.271646\pi\)
−0.981280 + 0.192585i \(0.938313\pi\)
\(354\) −1.16429 0.145367i −0.0618816 0.00772615i
\(355\) −9.41776 + 2.91183i −0.499843 + 0.154544i
\(356\) −21.9302 + 6.19177i −1.16230 + 0.328163i
\(357\) −3.58029 + 12.4003i −0.189489 + 0.656293i
\(358\) −21.8894 16.5649i −1.15689 0.875482i
\(359\) 28.3997 + 16.3965i 1.49888 + 0.865377i 0.999999 0.00129574i \(-0.000412446\pi\)
0.498877 + 0.866673i \(0.333746\pi\)
\(360\) 0.783883 1.15477i 0.0413143 0.0608619i
\(361\) −6.92105 11.9876i −0.364266 0.630927i
\(362\) −21.8901 + 9.23920i −1.15052 + 0.485602i
\(363\) 17.2963 0.907819
\(364\) −31.2551 18.2921i −1.63821 0.958767i
\(365\) 9.67703 10.4432i 0.506519 0.546625i
\(366\) 25.5421 10.7806i 1.33510 0.563510i
\(367\) 0.00646496 0.00373255i 0.000337468 0.000194837i −0.499831 0.866123i \(-0.666605\pi\)
0.500169 + 0.865928i \(0.333271\pi\)
\(368\) 6.65710 + 3.60956i 0.347025 + 0.188161i
\(369\) 0.709169 + 0.409439i 0.0369178 + 0.0213145i
\(370\) −16.1337 + 2.86341i −0.838750 + 0.148862i
\(371\) −11.8051 12.2694i −0.612892 0.636997i
\(372\) 5.20691 + 18.4420i 0.269966 + 0.956175i
\(373\) −17.5825 + 30.4538i −0.910388 + 1.57684i −0.0968723 + 0.995297i \(0.530884\pi\)
−0.813516 + 0.581542i \(0.802449\pi\)
\(374\) −0.405359 + 3.24667i −0.0209606 + 0.167881i
\(375\) −2.74133 + 18.4364i −0.141562 + 0.952051i
\(376\) 0.472145 0.377580i 0.0243490 0.0194722i
\(377\) 16.8810 0.869416
\(378\) −16.0913 + 12.0283i −0.827645 + 0.618671i
\(379\) 17.3297 0.890165 0.445082 0.895490i \(-0.353174\pi\)
0.445082 + 0.895490i \(0.353174\pi\)
\(380\) −5.52388 8.52318i −0.283369 0.437230i
\(381\) −3.89322 6.74326i −0.199456 0.345468i
\(382\) −15.5357 1.93969i −0.794876 0.0992432i
\(383\) −5.87162 3.38998i −0.300026 0.173220i 0.342429 0.939544i \(-0.388751\pi\)
−0.642455 + 0.766324i \(0.722084\pi\)
\(384\) 3.33444 + 18.5643i 0.170160 + 0.947357i
\(385\) −2.26228 + 4.09405i −0.115296 + 0.208652i
\(386\) 2.26680 2.99543i 0.115377 0.152463i
\(387\) −1.82039 1.05100i −0.0925356 0.0534254i
\(388\) 18.2287 18.7230i 0.925420 0.950517i
\(389\) 4.97969 2.87502i 0.252480 0.145770i −0.368419 0.929660i \(-0.620101\pi\)
0.620899 + 0.783890i \(0.286768\pi\)
\(390\) 33.9183 + 12.3023i 1.71752 + 0.622951i
\(391\) −5.53977 −0.280158
\(392\) 2.22071 + 19.6741i 0.112163 + 0.993690i
\(393\) 25.8264i 1.30277i
\(394\) −12.9893 + 5.48242i −0.654392 + 0.276200i
\(395\) −3.00803 + 13.2194i −0.151350 + 0.665142i
\(396\) −0.243428 + 0.250029i −0.0122327 + 0.0125644i
\(397\) −4.00016 2.30949i −0.200762 0.115910i 0.396249 0.918143i \(-0.370312\pi\)
−0.597011 + 0.802233i \(0.703645\pi\)
\(398\) 0.843452 + 0.638286i 0.0422784 + 0.0319944i
\(399\) 2.40564 + 9.72425i 0.120432 + 0.486821i
\(400\) 11.7259 + 16.2019i 0.586297 + 0.810096i
\(401\) 8.29423 14.3660i 0.414194 0.717406i −0.581149 0.813797i \(-0.697397\pi\)
0.995344 + 0.0963914i \(0.0307301\pi\)
\(402\) 7.65667 + 0.955964i 0.381880 + 0.0476791i
\(403\) 34.0641 19.6669i 1.69685 0.979679i
\(404\) −20.0312 5.08115i −0.996590 0.252797i
\(405\) 12.5982 13.5957i 0.626011 0.675578i
\(406\) −5.52567 7.39212i −0.274234 0.366865i
\(407\) 4.09684 0.203073
\(408\) −8.61761 10.7759i −0.426635 0.533487i
\(409\) 14.1437 8.16589i 0.699363 0.403777i −0.107747 0.994178i \(-0.534364\pi\)
0.807110 + 0.590401i \(0.201030\pi\)
\(410\) −8.98056 + 7.55272i −0.443518 + 0.373002i
\(411\) −20.9076 12.0710i −1.03130 0.595419i
\(412\) 38.2245 10.7923i 1.88319 0.531698i
\(413\) 0.948826 0.912921i 0.0466887 0.0449219i
\(414\) −0.471138 0.356535i −0.0231552 0.0175228i
\(415\) 8.94531 + 28.9319i 0.439108 + 1.42021i
\(416\) 35.2525 16.0032i 1.72839 0.784622i
\(417\) −15.8363 + 9.14308i −0.775506 + 0.447739i
\(418\) 0.987460 + 2.33955i 0.0482982 + 0.114431i
\(419\) 25.5119i 1.24634i −0.782087 0.623170i \(-0.785845\pi\)
0.782087 0.623170i \(-0.214155\pi\)
\(420\) −5.71537 18.8796i −0.278881 0.921230i
\(421\) 5.65879i 0.275793i 0.990447 + 0.137896i \(0.0440341\pi\)
−0.990447 + 0.137896i \(0.955966\pi\)
\(422\) 17.0386 7.19153i 0.829428 0.350078i
\(423\) −0.0408492 + 0.0235843i −0.00198616 + 0.00114671i
\(424\) 17.9950 2.73746i 0.873916 0.132943i
\(425\) −13.1904 6.33061i −0.639827 0.307080i
\(426\) −6.27201 + 8.28805i −0.303880 + 0.401557i
\(427\) −8.63018 + 29.8905i −0.417644 + 1.44650i
\(428\) 31.0251 8.75962i 1.49966 0.423412i
\(429\) −7.81239 4.51048i −0.377186 0.217768i
\(430\) 23.0525 19.3873i 1.11169 0.934940i
\(431\) −8.15466 + 4.70809i −0.392796 + 0.226781i −0.683371 0.730071i \(-0.739487\pi\)
0.290575 + 0.956852i \(0.406153\pi\)
\(432\) −0.574547 21.4695i −0.0276429 1.03295i
\(433\) 2.39361 0.115030 0.0575148 0.998345i \(-0.481682\pi\)
0.0575148 + 0.998345i \(0.481682\pi\)
\(434\) −19.7623 8.47895i −0.948620 0.407003i
\(435\) 6.74453 + 6.24969i 0.323376 + 0.299650i
\(436\) −7.29441 + 28.7564i −0.349339 + 1.37718i
\(437\) −3.72356 + 2.14980i −0.178122 + 0.102839i
\(438\) 1.85984 14.8962i 0.0888666 0.711766i
\(439\) 17.7739 30.7852i 0.848300 1.46930i −0.0344242 0.999407i \(-0.510960\pi\)
0.882724 0.469891i \(-0.155707\pi\)
\(440\) −2.17876 4.50086i −0.103868 0.214570i
\(441\) 0.0595608 1.54361i 0.00283623 0.0735051i
\(442\) −17.0904 + 22.5838i −0.812909 + 1.07420i
\(443\) −10.5455 6.08847i −0.501033 0.289272i 0.228107 0.973636i \(-0.426746\pi\)
−0.729140 + 0.684364i \(0.760080\pi\)
\(444\) −12.0521 + 12.3790i −0.571969 + 0.587480i
\(445\) −5.65275 + 24.8423i −0.267966 + 1.17764i
\(446\) −2.25241 5.33656i −0.106655 0.252693i
\(447\) 24.6004i 1.16356i
\(448\) −18.5469 10.1986i −0.876261 0.481837i
\(449\) 5.65182 0.266726 0.133363 0.991067i \(-0.457422\pi\)
0.133363 + 0.991067i \(0.457422\pi\)
\(450\) −0.714362 1.38732i −0.0336753 0.0653988i
\(451\) 2.54079 1.46693i 0.119641 0.0690749i
\(452\) −6.19715 6.03353i −0.291490 0.283793i
\(453\) −22.8029 13.1653i −1.07138 0.618559i
\(454\) −11.1376 8.42844i −0.522715 0.395566i
\(455\) −34.6781 + 20.8994i −1.62573 + 0.979778i
\(456\) −9.97410 3.89883i −0.467080 0.182579i
\(457\) −17.8188 10.2877i −0.833529 0.481238i 0.0215305 0.999768i \(-0.493146\pi\)
−0.855059 + 0.518530i \(0.826479\pi\)
\(458\) −0.588422 + 4.71289i −0.0274952 + 0.220219i
\(459\) 7.85574 + 13.6065i 0.366675 + 0.635099i
\(460\) 7.10488 4.60468i 0.331267 0.214694i
\(461\) 1.04586 0.0487106 0.0243553 0.999703i \(-0.492247\pi\)
0.0243553 + 0.999703i \(0.492247\pi\)
\(462\) 0.582110 + 4.89743i 0.0270822 + 0.227849i
\(463\) 15.3524 0.713488 0.356744 0.934202i \(-0.383887\pi\)
0.356744 + 0.934202i \(0.383887\pi\)
\(464\) 9.86280 0.263940i 0.457869 0.0122531i
\(465\) 20.8909 + 4.75363i 0.968791 + 0.220444i
\(466\) 27.8867 + 3.48176i 1.29183 + 0.161289i
\(467\) 8.02282 13.8959i 0.371252 0.643027i −0.618507 0.785780i \(-0.712262\pi\)
0.989758 + 0.142753i \(0.0455954\pi\)
\(468\) −2.90696 + 0.820750i −0.134374 + 0.0379392i
\(469\) −6.23970 + 6.00358i −0.288122 + 0.277220i
\(470\) −0.118116 0.665513i −0.00544827 0.0306978i
\(471\) −13.6025 7.85341i −0.626770 0.361866i
\(472\) 0.211695 + 1.39160i 0.00974404 + 0.0640536i
\(473\) −6.52205 + 3.76551i −0.299884 + 0.173138i
\(474\) 5.55855 + 13.1697i 0.255313 + 0.604903i
\(475\) −11.3226 + 0.863618i −0.519517 + 0.0396255i
\(476\) 15.4836 + 0.0914440i 0.709689 + 0.00419133i
\(477\) −1.42016 −0.0650246
\(478\) −3.70912 8.78789i −0.169651 0.401949i
\(479\) −10.5683 18.3049i −0.482879 0.836371i 0.516928 0.856029i \(-0.327076\pi\)
−0.999807 + 0.0196582i \(0.993742\pi\)
\(480\) 20.0093 + 6.65735i 0.913294 + 0.303865i
\(481\) 30.7115 + 17.7313i 1.40032 + 0.808477i
\(482\) 1.16628 1.54116i 0.0531226 0.0701979i
\(483\) −8.10608 + 2.00532i −0.368839 + 0.0912454i
\(484\) −5.63806 19.9691i −0.256276 0.907686i
\(485\) −8.62993 27.9118i −0.391865 1.26741i
\(486\) −0.400983 + 3.21162i −0.0181890 + 0.145682i
\(487\) 8.49641 + 14.7162i 0.385009 + 0.666855i 0.991770 0.128029i \(-0.0408650\pi\)
−0.606761 + 0.794884i \(0.707532\pi\)
\(488\) −20.7725 25.9750i −0.940326 1.17583i
\(489\) 8.08424i 0.365582i
\(490\) 20.5030 + 8.34440i 0.926229 + 0.376961i
\(491\) 13.6290 0.615070 0.307535 0.951537i \(-0.400496\pi\)
0.307535 + 0.951537i \(0.400496\pi\)
\(492\) −3.04208 + 11.9927i −0.137148 + 0.540671i
\(493\) −6.25067 + 3.60883i −0.281516 + 0.162533i
\(494\) −2.72331 + 21.8120i −0.122527 + 0.981367i
\(495\) 0.115245 + 0.372737i 0.00517988 + 0.0167533i
\(496\) 19.5946 12.0231i 0.879824 0.539853i
\(497\) −2.80099 11.3224i −0.125642 0.507879i
\(498\) 25.4613 + 19.2680i 1.14095 + 0.863418i
\(499\) −7.46818 + 12.9353i −0.334322 + 0.579062i −0.983354 0.181699i \(-0.941840\pi\)
0.649033 + 0.760760i \(0.275174\pi\)
\(500\) 22.1790 2.84475i 0.991874 0.127221i
\(501\) −15.2030 + 8.77748i −0.679222 + 0.392149i
\(502\) 8.49830 + 20.1347i 0.379298 + 0.898657i
\(503\) 24.2100i 1.07947i 0.841834 + 0.539736i \(0.181476\pi\)
−0.841834 + 0.539736i \(0.818524\pi\)
\(504\) 1.31094 + 1.00429i 0.0583939 + 0.0447346i
\(505\) −15.7041 + 16.9475i −0.698821 + 0.754153i
\(506\) −1.95024 + 0.823141i −0.0866988 + 0.0365931i
\(507\) −28.2068 48.8555i −1.25271 2.16975i
\(508\) −6.51624 + 6.69295i −0.289111 + 0.296952i
\(509\) 4.43051 7.67386i 0.196379 0.340138i −0.750973 0.660333i \(-0.770415\pi\)
0.947352 + 0.320195i \(0.103748\pi\)
\(510\) −15.1892 + 2.69579i −0.672589 + 0.119372i
\(511\) 11.6800 + 12.1394i 0.516695 + 0.537016i
\(512\) 20.3462 9.90114i 0.899183 0.437573i
\(513\) 10.5605 + 6.09710i 0.466257 + 0.269193i
\(514\) −4.38621 + 35.1308i −0.193468 + 1.54955i
\(515\) 9.85277 43.3002i 0.434165 1.90803i
\(516\) 7.80882 30.7844i 0.343764 1.35521i
\(517\) 0.168995i 0.00743237i
\(518\) −2.28835 19.2524i −0.100544 0.845903i
\(519\) 19.3427i 0.849050i
\(520\) 3.14705 43.1699i 0.138007 1.89313i
\(521\) −26.5478 + 15.3274i −1.16308 + 0.671505i −0.952041 0.305972i \(-0.901019\pi\)
−0.211041 + 0.977477i \(0.567685\pi\)
\(522\) −0.763859 0.0953707i −0.0334332 0.00417426i
\(523\) 9.06880 15.7076i 0.396551 0.686846i −0.596747 0.802430i \(-0.703540\pi\)
0.993298 + 0.115583i \(0.0368737\pi\)
\(524\) 29.8174 8.41862i 1.30258 0.367769i
\(525\) −21.5925 4.48853i −0.942372 0.195896i
\(526\) 31.9271 + 24.1609i 1.39209 + 1.05347i
\(527\) −8.40880 + 14.5645i −0.366293 + 0.634439i
\(528\) −4.63495 2.51312i −0.201710 0.109370i
\(529\) 9.70794 + 16.8146i 0.422084 + 0.731072i
\(530\) 6.93889 19.1310i 0.301406 0.830997i
\(531\) 0.109824i 0.00476598i
\(532\) 10.4428 5.94720i 0.452752 0.257844i
\(533\) 25.3957 1.10001
\(534\) 10.4457 + 24.7487i 0.452031 + 1.07098i
\(535\) 7.99706 35.1448i 0.345743 1.51944i
\(536\) −1.39215 9.15148i −0.0601319 0.395284i
\(537\) −16.1800 + 28.0246i −0.698218 + 1.20935i
\(538\) 4.16445 + 3.15146i 0.179542 + 0.135869i
\(539\) −4.68277 2.95000i −0.201701 0.127066i
\(540\) −21.3850 10.9210i −0.920263 0.469964i
\(541\) 23.5104 + 13.5737i 1.01079 + 0.583580i 0.911423 0.411471i \(-0.134985\pi\)
0.0993669 + 0.995051i \(0.468318\pi\)
\(542\) −0.134204 + 1.07489i −0.00576457 + 0.0461706i
\(543\) 14.0046 + 24.2567i 0.600997 + 1.04096i
\(544\) −9.63205 + 13.4619i −0.412971 + 0.577176i
\(545\) 24.3295 + 22.5445i 1.04216 + 0.965699i
\(546\) −16.8326 + 39.2324i −0.720367 + 1.67899i
\(547\) 23.0006i 0.983436i −0.870754 0.491718i \(-0.836369\pi\)
0.870754 0.491718i \(-0.163631\pi\)
\(548\) −7.12112 + 28.0733i −0.304199 + 1.19923i
\(549\) 1.29749 + 2.24731i 0.0553753 + 0.0959129i
\(550\) −5.58424 0.268723i −0.238113 0.0114584i
\(551\) −2.80093 + 4.85135i −0.119324 + 0.206674i
\(552\) 3.25004 8.31436i 0.138331 0.353882i
\(553\) −15.4118 4.44978i −0.655374 0.189224i
\(554\) −21.9485 16.6096i −0.932501 0.705674i
\(555\) 5.70580 + 18.4543i 0.242198 + 0.783340i
\(556\) 15.7181 + 15.3031i 0.666597 + 0.648997i
\(557\) −5.52574 9.57086i −0.234133 0.405530i 0.724887 0.688867i \(-0.241892\pi\)
−0.959020 + 0.283337i \(0.908558\pi\)
\(558\) −1.65250 + 0.697473i −0.0699559 + 0.0295264i
\(559\) −65.1890 −2.75720
\(560\) −19.9341 + 12.7528i −0.842368 + 0.538902i
\(561\) 3.85701 0.162843
\(562\) 9.38158 3.95970i 0.395738 0.167030i
\(563\) 19.8308 + 34.3480i 0.835770 + 1.44760i 0.893402 + 0.449259i \(0.148312\pi\)
−0.0576315 + 0.998338i \(0.518355\pi\)
\(564\) −0.510632 0.497150i −0.0215015 0.0209338i
\(565\) −9.23856 + 2.85643i −0.388669 + 0.120171i
\(566\) −13.3380 10.0936i −0.560639 0.424266i
\(567\) 15.2059 + 15.8039i 0.638587 + 0.663703i
\(568\) 11.6133 + 4.53959i 0.487283 + 0.190477i
\(569\) 14.0325 24.3050i 0.588272 1.01892i −0.406187 0.913790i \(-0.633142\pi\)
0.994459 0.105127i \(-0.0335248\pi\)
\(570\) −9.16329 + 7.70640i −0.383808 + 0.322785i
\(571\) 1.96859 + 3.40970i 0.0823829 + 0.142691i 0.904273 0.426955i \(-0.140414\pi\)
−0.821890 + 0.569646i \(0.807080\pi\)
\(572\) −2.66089 + 10.4899i −0.111258 + 0.438606i
\(573\) 18.4563i 0.771022i
\(574\) −8.31278 11.1207i −0.346969 0.464168i
\(575\) −0.719907 9.43847i −0.0300222 0.393611i
\(576\) −1.68557 + 0.524978i −0.0702322 + 0.0218741i
\(577\) −20.6956 35.8459i −0.861571 1.49228i −0.870412 0.492324i \(-0.836148\pi\)
0.00884126 0.999961i \(-0.497186\pi\)
\(578\) −1.47833 + 11.8405i −0.0614904 + 0.492500i
\(579\) −3.83499 2.21413i −0.159377 0.0920161i
\(580\) 5.01696 9.82399i 0.208318 0.407919i
\(581\) −34.7830 + 8.60480i −1.44304 + 0.356987i
\(582\) −24.5636 18.5886i −1.01820 0.770524i
\(583\) −2.54406 + 4.40643i −0.105364 + 0.182496i
\(584\) −17.8043 + 2.70845i −0.736749 + 0.112077i
\(585\) −0.749300 + 3.29297i −0.0309798 + 0.136147i
\(586\) 6.53660 + 15.4869i 0.270024 + 0.639760i
\(587\) 15.3447 0.633342 0.316671 0.948535i \(-0.397435\pi\)
0.316671 + 0.948535i \(0.397435\pi\)
\(588\) 22.6895 5.47106i 0.935700 0.225623i
\(589\) 13.0527i 0.537827i
\(590\) 1.47945 + 0.536602i 0.0609079 + 0.0220915i
\(591\) 8.31016 + 14.3936i 0.341834 + 0.592075i
\(592\) 18.2206 + 9.87940i 0.748860 + 0.406041i
\(593\) −20.8596 + 36.1298i −0.856600 + 1.48367i 0.0185530 + 0.999828i \(0.494094\pi\)
−0.875153 + 0.483847i \(0.839239\pi\)
\(594\) 4.78733 + 3.62283i 0.196427 + 0.148647i
\(595\) 8.37268 15.1521i 0.343246 0.621175i
\(596\) −28.4020 + 8.01900i −1.16339 + 0.328471i
\(597\) 0.623454 1.07985i 0.0255163 0.0441955i
\(598\) −18.1823 2.27013i −0.743531 0.0928326i
\(599\) 19.4999 11.2583i 0.796746 0.460001i −0.0455861 0.998960i \(-0.514516\pi\)
0.842332 + 0.538959i \(0.181182\pi\)
\(600\) 17.2398 16.0828i 0.703810 0.656576i
\(601\) 8.10668i 0.330679i −0.986237 0.165339i \(-0.947128\pi\)
0.986237 0.165339i \(-0.0528719\pi\)
\(602\) 21.3384 + 28.5460i 0.869687 + 1.16345i
\(603\) 0.722231i 0.0294115i
\(604\) −7.76667 + 30.6182i −0.316021 + 1.24584i
\(605\) −22.6207 5.14725i −0.919663 0.209265i
\(606\) −3.01818 + 24.1737i −0.122605 + 0.981991i
\(607\) 10.6003 + 6.12010i 0.430254 + 0.248407i 0.699455 0.714677i \(-0.253426\pi\)
−0.269201 + 0.963084i \(0.586760\pi\)
\(608\) −1.25007 + 12.7863i −0.0506969 + 0.518554i
\(609\) −7.83997 + 7.54329i −0.317692 + 0.305670i
\(610\) −36.6131 + 6.49811i −1.48242 + 0.263101i
\(611\) −0.731415 + 1.26685i −0.0295899 + 0.0512512i
\(612\) 0.900925 0.925357i 0.0364177 0.0374054i
\(613\) −6.93580 12.0132i −0.280134 0.485207i 0.691283 0.722584i \(-0.257046\pi\)
−0.971418 + 0.237377i \(0.923712\pi\)
\(614\) 23.9071 10.0905i 0.964812 0.407220i
\(615\) 10.1464 + 9.40200i 0.409144 + 0.379125i
\(616\) 5.46449 2.26848i 0.220171 0.0913997i
\(617\) 1.91696i 0.0771739i −0.999255 0.0385870i \(-0.987714\pi\)
0.999255 0.0385870i \(-0.0122857\pi\)
\(618\) −18.2070 43.1372i −0.732392 1.73523i
\(619\) −19.2245 + 11.0993i −0.772699 + 0.446118i −0.833837 0.552011i \(-0.813861\pi\)
0.0611375 + 0.998129i \(0.480527\pi\)
\(620\) −1.32158 25.6687i −0.0530759 1.03088i
\(621\) −5.08251 + 8.80316i −0.203954 + 0.353259i
\(622\) −8.69780 6.58210i −0.348750 0.263918i
\(623\) −28.9621 8.36213i −1.16034 0.335022i
\(624\) −23.8684 38.8995i −0.955502 1.55723i
\(625\) 9.07175 23.2960i 0.362870 0.931840i
\(626\) 3.00918 24.1016i 0.120271 0.963296i
\(627\) 2.59249 1.49678i 0.103534 0.0597755i
\(628\) −4.63301 + 18.2645i −0.184877 + 0.728833i
\(629\) −15.1624 −0.604565
\(630\) 1.68724 0.749772i 0.0672214 0.0298716i
\(631\) 4.47405i 0.178109i −0.996027 0.0890545i \(-0.971615\pi\)
0.996027 0.0890545i \(-0.0283845\pi\)
\(632\) 13.3929 10.7104i 0.532741 0.426038i
\(633\) −10.9008 18.8807i −0.433268 0.750442i
\(634\) −3.42483 + 27.4307i −0.136017 + 1.08941i
\(635\) 3.08496 + 9.97769i 0.122423 + 0.395952i
\(636\) −5.83031 20.6500i −0.231187 0.818826i
\(637\) −22.3361 42.3815i −0.884988 1.67922i
\(638\) −1.66428 + 2.19924i −0.0658896 + 0.0870687i
\(639\) −0.842519 0.486429i −0.0333295 0.0192428i
\(640\) 1.16370 25.2714i 0.0459995 0.998941i
\(641\) −16.7611 29.0311i −0.662025 1.14666i −0.980083 0.198590i \(-0.936364\pi\)
0.318058 0.948071i \(-0.396969\pi\)
\(642\) −14.7778 35.0125i −0.583233 1.38183i
\(643\) −1.67625 −0.0661048 −0.0330524 0.999454i \(-0.510523\pi\)
−0.0330524 + 0.999454i \(0.510523\pi\)
\(644\) 4.95755 + 8.70505i 0.195355 + 0.343027i
\(645\) −26.0452 24.1343i −1.02553 0.950288i
\(646\) −3.65459 8.65869i −0.143788 0.340672i
\(647\) 18.8153 10.8630i 0.739707 0.427070i −0.0822561 0.996611i \(-0.526213\pi\)
0.821963 + 0.569541i \(0.192879\pi\)
\(648\) −23.1789 + 3.52605i −0.910554 + 0.138516i
\(649\) −0.340761 0.196738i −0.0133760 0.00772265i
\(650\) −40.6986 26.1833i −1.59633 1.02699i
\(651\) −7.03206 + 24.3554i −0.275608 + 0.954563i
\(652\) −9.33351 + 2.63522i −0.365528 + 0.103203i
\(653\) −4.45603 + 7.71807i −0.174378 + 0.302031i −0.939946 0.341324i \(-0.889125\pi\)
0.765568 + 0.643355i \(0.222458\pi\)
\(654\) 34.7034 + 4.33285i 1.35701 + 0.169428i
\(655\) 7.68575 33.7767i 0.300307 1.31977i
\(656\) 14.8375 0.397069i 0.579309 0.0155030i
\(657\) 1.40511 0.0548186
\(658\) 0.794162 0.0943943i 0.0309596 0.00367987i
\(659\) 11.6434 0.453562 0.226781 0.973946i \(-0.427180\pi\)
0.226781 + 0.973946i \(0.427180\pi\)
\(660\) −4.94671 + 3.20597i −0.192550 + 0.124792i
\(661\) 3.07763 + 5.33061i 0.119706 + 0.207337i 0.919651 0.392736i \(-0.128472\pi\)
−0.799945 + 0.600073i \(0.795138\pi\)
\(662\) 0.380110 3.04444i 0.0147734 0.118326i
\(663\) 28.9136 + 16.6933i 1.12291 + 0.648314i
\(664\) 13.9459 35.6767i 0.541204 1.38452i
\(665\) −0.252313 13.4336i −0.00978430 0.520934i
\(666\) −1.28951 0.975842i −0.0499675 0.0378131i
\(667\) −4.04406 2.33484i −0.156587 0.0904053i
\(668\) 15.0896 + 14.6912i 0.583835 + 0.568420i
\(669\) −5.91351 + 3.41417i −0.228630 + 0.131999i
\(670\) −9.72919 3.52882i −0.375871 0.136330i
\(671\) 9.29720 0.358914
\(672\) −9.22108 + 23.1849i −0.355711 + 0.894377i
\(673\) 29.9527i 1.15459i −0.816535 0.577296i \(-0.804108\pi\)
0.816535 0.577296i \(-0.195892\pi\)
\(674\) −0.365420 0.865778i −0.0140755 0.0333485i
\(675\) −22.1615 + 15.1526i −0.852996 + 0.583222i
\(676\) −47.2107 + 48.4910i −1.81580 + 1.86504i
\(677\) 19.0794 + 11.0155i 0.733281 + 0.423360i 0.819621 0.572906i \(-0.194184\pi\)
−0.0863404 + 0.996266i \(0.527517\pi\)
\(678\) −6.15268 + 8.13035i −0.236292 + 0.312244i
\(679\) 33.5566 8.30142i 1.28779 0.318579i
\(680\) 8.06360 + 16.6577i 0.309225 + 0.638793i
\(681\) −8.23259 + 14.2593i −0.315474 + 0.546416i
\(682\) −0.796165 + 6.37678i −0.0304867 + 0.244180i
\(683\) −1.35827 + 0.784199i −0.0519728 + 0.0300065i −0.525761 0.850632i \(-0.676219\pi\)
0.473788 + 0.880639i \(0.342886\pi\)
\(684\) 0.246457 0.971598i 0.00942353 0.0371500i
\(685\) 23.7515 + 22.0089i 0.907498 + 0.840916i
\(686\) −11.2474 + 23.6537i −0.429429 + 0.903101i
\(687\) 5.59887 0.213610
\(688\) −38.0870 + 1.01925i −1.45205 + 0.0388586i
\(689\) −38.1424 + 22.0215i −1.45311 + 0.838954i
\(690\) −6.42401 7.63847i −0.244558 0.290792i
\(691\) −36.1431 20.8673i −1.37495 0.793828i −0.383404 0.923581i \(-0.625248\pi\)
−0.991546 + 0.129753i \(0.958581\pi\)
\(692\) 22.3317 6.30513i 0.848926 0.239685i
\(693\) −0.448119 + 0.110858i −0.0170226 + 0.00421115i
\(694\) 23.0665 30.4809i 0.875593 1.15704i
\(695\) 23.4322 7.24490i 0.888834 0.274815i
\(696\) −1.74919 11.4985i −0.0663030 0.435851i
\(697\) −9.40347 + 5.42910i −0.356182 + 0.205642i
\(698\) 28.9795 12.2314i 1.09689 0.462966i
\(699\) 33.1291i 1.25306i
\(700\) 1.85633 + 26.3923i 0.0701629 + 0.997536i
\(701\) 39.2592i 1.48280i 0.671065 + 0.741399i \(0.265837\pi\)
−0.671065 + 0.741399i \(0.734163\pi\)
\(702\) 20.2079 + 47.8779i 0.762698 + 1.80703i
\(703\) −10.1914 + 5.88402i −0.384377 + 0.221920i
\(704\) −1.39063 + 6.17040i −0.0524112 + 0.232556i
\(705\) −0.761238 + 0.235364i −0.0286699 + 0.00886432i
\(706\) 13.7235 + 10.3853i 0.516491 + 0.390857i
\(707\) −18.9546 19.7001i −0.712860 0.740897i
\(708\) 1.59692 0.450872i 0.0600158 0.0169448i
\(709\) −7.57554 4.37374i −0.284505 0.164259i 0.350956 0.936392i \(-0.385857\pi\)
−0.635461 + 0.772133i \(0.719190\pi\)
\(710\) 10.6692 8.97291i 0.400409 0.336747i
\(711\) −1.15873 + 0.668993i −0.0434558 + 0.0250892i
\(712\) 25.1682 20.1273i 0.943218 0.754302i
\(713\) −10.8807 −0.407484
\(714\) −2.15439 18.1254i −0.0806260 0.678326i
\(715\) 8.87505 + 8.22389i 0.331908 + 0.307556i
\(716\) 37.6294 + 9.54515i 1.40628 + 0.356719i
\(717\) −9.73798 + 5.62223i −0.363672 + 0.209966i
\(718\) −46.0191 5.74566i −1.71742 0.214426i
\(719\) −1.13078 + 1.95857i −0.0421709 + 0.0730422i −0.886340 0.463034i \(-0.846761\pi\)
0.844170 + 0.536076i \(0.180094\pi\)
\(720\) −0.386296 + 1.93565i −0.0143964 + 0.0721372i
\(721\) 50.4811 + 14.5752i 1.88001 + 0.542810i
\(722\) 15.6098 + 11.8128i 0.580937 + 0.439626i
\(723\) −1.97312 1.13918i −0.0733809 0.0423665i
\(724\) 23.4401 24.0758i 0.871144 0.894769i
\(725\) −6.96089 10.1807i −0.258521 0.378102i
\(726\) −22.5356 + 9.51162i −0.836373 + 0.353009i
\(727\) 14.0073i 0.519502i 0.965676 + 0.259751i \(0.0836406\pi\)
−0.965676 + 0.259751i \(0.916359\pi\)
\(728\) 50.7820 + 6.64513i 1.88211 + 0.246285i
\(729\) 28.6832 1.06234
\(730\) −6.86536 + 18.9283i −0.254098 + 0.700567i
\(731\) 24.1381 13.9361i 0.892780 0.515447i
\(732\) −27.3506 + 28.0923i −1.01091 + 1.03832i
\(733\) 0.730569 + 0.421794i 0.0269842 + 0.0155793i 0.513431 0.858131i \(-0.328374\pi\)
−0.486447 + 0.873710i \(0.661707\pi\)
\(734\) −0.00637067 + 0.00841842i −0.000235146 + 0.000310730i
\(735\) 6.76649 25.2021i 0.249586 0.929595i
\(736\) −10.6586 1.04205i −0.392881 0.0384104i
\(737\) 2.24092 + 1.29380i 0.0825454 + 0.0476576i
\(738\) −1.14915 0.143475i −0.0423006 0.00528139i
\(739\) −24.2171 41.9452i −0.890840 1.54298i −0.838870 0.544331i \(-0.816784\pi\)
−0.0519693 0.998649i \(-0.516550\pi\)
\(740\) 19.4461 12.6031i 0.714854 0.463298i
\(741\) 25.9124 0.951916
\(742\) 22.1283 + 9.49409i 0.812356 + 0.348539i
\(743\) −23.9932 −0.880226 −0.440113 0.897942i \(-0.645062\pi\)
−0.440113 + 0.897942i \(0.645062\pi\)
\(744\) −16.9259 21.1650i −0.620532 0.775945i
\(745\) −7.32092 + 32.1734i −0.268218 + 1.17874i
\(746\) 6.16125 49.3477i 0.225579 1.80675i
\(747\) −1.49434 + 2.58826i −0.0546749 + 0.0946996i
\(748\) −1.25727 4.45304i −0.0459703 0.162819i
\(749\) 40.9732 + 11.8301i 1.49713 + 0.432261i
\(750\) −6.56687 25.5285i −0.239788 0.932170i
\(751\) 15.5172 + 8.95889i 0.566232 + 0.326914i 0.755643 0.654983i \(-0.227324\pi\)
−0.189411 + 0.981898i \(0.560658\pi\)
\(752\) −0.407525 + 0.751597i −0.0148609 + 0.0274079i
\(753\) 22.3116 12.8816i 0.813078 0.469431i
\(754\) −21.9945 + 9.28325i −0.800992 + 0.338076i
\(755\) 25.9046 + 24.0040i 0.942766 + 0.873596i
\(756\) 14.3509 24.5208i 0.521936 0.891815i
\(757\) −9.11215 −0.331187 −0.165593 0.986194i \(-0.552954\pi\)
−0.165593 + 0.986194i \(0.552954\pi\)
\(758\) −22.5791 + 9.52998i −0.820108 + 0.346145i
\(759\) 1.24770 + 2.16109i 0.0452888 + 0.0784425i
\(760\) 11.8842 + 8.06726i 0.431087 + 0.292630i
\(761\) −0.873293 0.504196i −0.0316568 0.0182771i 0.484088 0.875019i \(-0.339151\pi\)
−0.515745 + 0.856742i \(0.672485\pi\)
\(762\) 8.78081 + 6.64491i 0.318095 + 0.240720i
\(763\) −28.2810 + 27.2108i −1.02384 + 0.985099i
\(764\) 21.3084 6.01619i 0.770910 0.217658i
\(765\) −0.426522 1.37950i −0.0154209 0.0498759i
\(766\) 9.51445 + 1.18791i 0.343771 + 0.0429211i
\(767\) −1.70298 2.94965i −0.0614911 0.106506i
\(768\) −14.5534 22.3540i −0.525152 0.806632i
\(769\) 11.3063i 0.407716i 0.979000 + 0.203858i \(0.0653481\pi\)
−0.979000 + 0.203858i \(0.934652\pi\)
\(770\) 0.696136 6.57828i 0.0250870 0.237065i
\(771\) 41.7351 1.50305
\(772\) −1.30619 + 5.14936i −0.0470110 + 0.185329i
\(773\) 17.9809 10.3813i 0.646729 0.373389i −0.140473 0.990085i \(-0.544862\pi\)
0.787202 + 0.616695i \(0.211529\pi\)
\(774\) 2.94978 +