Properties

Label 280.2.ba.b.59.6
Level $280$
Weight $2$
Character 280.59
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 59.6
Character \(\chi\) \(=\) 280.59
Dual form 280.2.ba.b.19.6

$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.30291 0.549923i −0.921299 0.388854i
\(3\) 0.833565 1.44378i 0.481259 0.833565i −0.518510 0.855072i \(-0.673513\pi\)
0.999769 + 0.0215069i \(0.00684639\pi\)
\(4\) 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 −0.919449 0.393210i \(-0.871364\pi\)
0.800254 + 0.599661i \(0.204698\pi\)
\(12\) 3.23190 0.819810i 0.932970 0.236659i
\(13\) 6.84388i 1.89815i 0.315049 + 0.949076i \(0.397979\pi\)
−0.315049 + 0.949076i \(0.602021\pi\)
\(14\) −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 −0.632242 0.774771i \(-0.717865\pi\)
0.987092 + 0.160152i \(0.0511983\pi\)
\(18\) −0.0386651 0.309683i −0.00911345 0.0729930i
\(19\) 1.96683 1.13555i 0.451222 0.260513i −0.257124 0.966378i \(-0.582775\pi\)
0.708346 + 0.705865i \(0.249442\pi\)
\(20\) −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 0.750300 0.661098i \(-0.229909\pi\)
−0.947677 + 0.319230i \(0.896576\pi\)
\(24\) −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 \(-0.926449\pi\)
0.973423 0.229017i \(-0.0735510\pi\)
\(30\) −1.79756 4.95600i −0.328188 0.904838i
\(31\) 2.87365 4.97731i 0.516123 0.893951i −0.483702 0.875233i \(-0.660708\pi\)
0.999825 0.0187183i \(-0.00595857\pi\)
\(32\) 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 0.570578 0.821243i \(-0.306719\pi\)
−0.996507 + 0.0835133i \(0.973386\pi\)
\(38\) −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 \(-0.906425\pi\)
0.957100 0.289758i \(-0.0935748\pi\)
\(42\) −5.73248 + 2.45950i −0.884541 + 0.379510i
\(43\) 9.52516i 1.45257i 0.687392 + 0.726286i \(0.258755\pi\)
−0.687392 + 0.726286i \(0.741245\pi\)
\(44\) −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 −0.513440 0.858126i \(-0.671629\pi\)
0.486439 + 0.873715i \(0.338296\pi\)
\(48\) 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 −0.997837 0.0657412i \(-0.979059\pi\)
0.555852 + 0.831281i \(0.312392\pi\)
\(54\) −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 0.527793 0.849373i \(-0.323020\pi\)
−0.471682 + 0.881768i \(0.656353\pi\)
\(60\) −0.383353 + 7.44577i −0.0494906 + 0.961244i
\(61\) −5.87951 10.1836i −0.752794 1.30388i −0.946464 0.322810i \(-0.895372\pi\)
0.193670 0.981067i \(-0.437961\pi\)
\(62\) −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 0.316774 0.948501i \(-0.397400\pi\)
−0.663039 + 0.748585i \(0.730734\pi\)
\(68\) 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 \(0.0842483\pi\)
−0.965178 + 0.261594i \(0.915752\pi\)
\(72\) 0.389833 0.487468i 0.0459423 0.0574486i
\(73\) 3.18360 5.51416i 0.372612 0.645384i −0.617354 0.786685i \(-0.711795\pi\)
0.989967 + 0.141302i \(0.0451288\pi\)
\(74\) 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 −0.765396 0.643560i \(-0.777457\pi\)
0.174641 + 0.984632i \(0.444123\pi\)
\(80\) −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 −0.921508 0.388360i \(-0.873042\pi\)
−0.124424 + 0.992229i \(0.539708\pi\)
\(90\) 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 0.485790 + 0.874075i \(0.338532\pi\)
−0.999867 + 0.0163310i \(0.994801\pi\)
\(102\) 0.854727 + 6.84582i 0.0846306 + 0.677838i
\(103\) 17.1988 9.92971i 1.69464 0.978403i 0.743969 0.668214i \(-0.232941\pi\)
0.950675 0.310189i \(-0.100392\pi\)
\(104\) 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 0.361333 0.932437i \(-0.382322\pi\)
0.988180 + 0.153295i \(0.0489885\pi\)
\(108\) 7.49107 + 7.69422i 0.720828 + 0.740376i
\(109\) −12.8463 7.41679i −1.23045 0.710400i −0.263326 0.964707i \(-0.584819\pi\)
−0.967124 + 0.254307i \(0.918153\pi\)
\(110\) 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 \(0.0652029\pi\)
−0.979093 + 0.203411i \(0.934797\pi\)
\(114\) −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 0.217977 0.975954i \(-0.430054\pi\)
0.954189 + 0.299204i \(0.0967209\pi\)
\(132\) −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 −0.142877 0.989740i \(-0.545635\pi\)
−0.928579 + 0.371135i \(0.878969\pi\)
\(138\) 4.11222 + 1.73565i 0.350055 + 0.147748i
\(139\) 10.9687i 0.930349i −0.885219 0.465175i \(-0.845992\pi\)
0.885219 0.465175i \(-0.154008\pi\)
\(140\) −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 −0.921784 0.387704i \(-0.873268\pi\)
−0.125130 + 0.992140i \(0.539935\pi\)
\(150\) 11.7748 0.566622i 0.961405 0.0462645i
\(151\) −13.6780 7.89697i −1.11310 0.642647i −0.173467 0.984840i \(-0.555497\pi\)
−0.939630 + 0.342193i \(0.888830\pi\)
\(152\) −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 0.137729 0.990470i \(-0.456020\pi\)
−0.788907 + 0.614512i \(0.789353\pi\)
\(158\) 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 −0.655367 0.755311i \(-0.727486\pi\)
0.326435 + 0.945220i \(0.394153\pi\)
\(164\) 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 \(-0.866428\pi\)
0.913241 0.407420i \(-0.133572\pi\)
\(168\) −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 −0.0667734 0.997768i \(-0.521270\pi\)
0.830706 + 0.556712i \(0.187937\pi\)
\(174\) 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 −0.233398 0.972381i \(-0.574984\pi\)
0.958806 0.284062i \(-0.0916822\pi\)
\(180\) −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 −0.111280 0.993789i \(-0.535495\pi\)
0.805007 + 0.593266i \(0.202162\pi\)
\(192\) 2.93223 + 13.0107i 0.211616 + 0.938967i
\(193\) −2.30035 1.32811i −0.165583 0.0955994i 0.414918 0.909859i \(-0.363810\pi\)
−0.580501 + 0.814259i \(0.697143\pi\)
\(194\) −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 −0.878976 0.476866i \(-0.841773\pi\)
0.852466 + 0.522783i \(0.175106\pi\)
\(200\) −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 \(-0.956209\pi\)
0.990552 0.137140i \(-0.0437909\pi\)
\(224\) 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 −0.654308 0.756228i \(-0.727040\pi\)
0.982067 + 0.188533i \(0.0603733\pi\)
\(228\) 5.42567 5.28241i 0.359324 0.349836i
\(229\) 1.67919 + 2.90845i 0.110964 + 0.192196i 0.916159 0.400814i \(-0.131273\pi\)
−0.805195 + 0.593010i \(0.797939\pi\)
\(230\) −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 −0.943290 0.331971i \(-0.892286\pi\)
−0.184150 + 0.982898i \(0.558953\pi\)
\(234\) 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 \(-0.930000\pi\)
0.975917 0.218142i \(-0.0699997\pi\)
\(240\) −11.2047 + 9.83876i −0.723258 + 0.635089i
\(241\) −1.18354 0.683317i −0.0762385 0.0440163i 0.461396 0.887194i \(-0.347349\pi\)
−0.537635 + 0.843178i \(0.680682\pi\)
\(242\) −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 \(0.162168\pi\)
−0.873005 + 0.487712i \(0.837832\pi\)
\(252\) −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 0.931481 + 0.363791i \(0.118518\pi\)
−0.150688 + 0.988581i \(0.548149\pi\)
\(258\) −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 −0.0138820 + 0.999904i \(0.504419\pi\)
−0.859001 + 0.511974i \(0.828914\pi\)
\(264\) 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 −0.916809 0.399325i \(-0.869244\pi\)
0.804231 + 0.594317i \(0.202578\pi\)
\(270\) 10.9286 12.9946i 0.665090 0.790826i
\(271\) 0.382982 + 0.663345i 0.0232645 + 0.0402953i 0.877423 0.479717i \(-0.159261\pi\)
−0.854159 + 0.520012i \(0.825927\pi\)
\(272\) 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 −0.410204 0.911994i \(-0.634542\pi\)
0.994912 0.100750i \(-0.0321243\pi\)
\(278\) −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 −0.634980 0.772528i \(-0.718992\pi\)
0.986519 + 0.163645i \(0.0523252\pi\)
\(284\) −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 \(0.112869\pi\)
−0.937789 + 0.347205i \(0.887131\pi\)
\(294\) −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 −0.735726 0.677279i \(-0.763159\pi\)
0.954404 + 0.298518i \(0.0964924\pi\)
\(312\) 4.85338 31.9043i 0.274769 1.80622i
\(313\) −8.58738 14.8738i −0.485387 0.840716i 0.514472 0.857507i \(-0.327988\pi\)
−0.999859 + 0.0167918i \(0.994655\pi\)
\(314\) 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 0.998348 + 0.0574593i \(0.0182999\pi\)
−0.449413 + 0.893324i \(0.648367\pi\)
\(318\) −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 0.834674 0.550745i \(-0.185656\pi\)
−0.894296 + 0.447476i \(0.852323\pi\)
\(332\) −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 \(-0.994239\pi\)
0.999836 0.0180986i \(-0.00576129\pi\)
\(338\) 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 −0.284190 0.958768i \(-0.591725\pi\)
−0.972412 + 0.233268i \(0.925058\pi\)
\(348\) −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 −0.981280 0.192585i \(-0.938313\pi\)
0.657424 + 0.753521i \(0.271646\pi\)
\(354\) −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 0.498877 0.866673i \(-0.333746\pi\)
0.999999 + 0.00129574i \(0.000412446\pi\)
\(360\) 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 0.500169 0.865928i \(-0.333271\pi\)
−0.499831 + 0.866123i \(0.666605\pi\)
\(368\) 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 −0.813516 0.581542i \(-0.802449\pi\)
−0.0968723 0.995297i \(-0.530884\pi\)
\(374\) −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 −0.642455 0.766324i \(-0.722084\pi\)
0.342429 + 0.939544i \(0.388751\pi\)
\(384\) 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 0.620899 0.783890i \(-0.286768\pi\)
−0.368419 + 0.929660i \(0.620101\pi\)
\(390\) 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 −0.597011 0.802233i \(-0.703645\pi\)
0.396249 + 0.918143i \(0.370312\pi\)
\(398\) 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 0.995344 0.0963914i \(-0.0307301\pi\)
−0.581149 + 0.813797i \(0.697397\pi\)
\(402\) 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 0.807110 0.590401i \(-0.201030\pi\)
−0.107747 + 0.994178i \(0.534364\pi\)
\(410\) −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 \(0.214155\pi\)
−0.782087 + 0.623170i \(0.785845\pi\)
\(420\) −5.71537 + 18.8796i −0.278881 + 0.921230i
\(421\) 5.65879i 0.275793i −0.990447 0.137896i \(-0.955966\pi\)
0.990447 0.137896i \(-0.0440341\pi\)
\(422\) 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 0.290575 0.956852i \(-0.406153\pi\)
−0.683371 + 0.730071i \(0.739487\pi\)
\(432\) −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 0.882724 + 0.469891i \(0.155707\pi\)
−0.0344242 + 0.999407i \(0.510960\pi\)
\(440\) −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 −0.729140 0.684364i \(-0.760080\pi\)
0.228107 + 0.973636i \(0.426746\pi\)
\(444\) −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 −0.855059 0.518530i \(-0.826479\pi\)
0.0215305 + 0.999768i \(0.493146\pi\)
\(458\) −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 0.989758 0.142753i \(-0.0455954\pi\)
−0.618507 + 0.785780i \(0.712262\pi\)
\(468\) −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 −0.999807 0.0196582i \(-0.993742\pi\)
0.516928 + 0.856029i \(0.327076\pi\)
\(480\) 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 −0.606761 0.794884i \(-0.707532\pi\)
0.991770 + 0.128029i \(0.0408650\pi\)
\(488\) −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 0.649033 0.760760i \(-0.275174\pi\)
−0.983354 + 0.181699i \(0.941840\pi\)
\(500\) 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 \(-0.818524\pi\)
0.841834 0.539736i \(-0.181476\pi\)
\(504\) 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 0.947352 0.320195i \(-0.103748\pi\)
−0.750973 + 0.660333i \(0.770415\pi\)
\(510\) −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 −0.211041 0.977477i \(-0.567685\pi\)
−0.952041 + 0.305972i \(0.901019\pi\)
\(522\) −0.763859 + 0.0953707i −0.0334332 + 0.00417426i
\(523\) 9.06880 + 15.7076i 0.396551 + 0.686846i 0.993298 0.115583i \(-0.0368737\pi\)
−0.596747 + 0.802430i \(0.703540\pi\)
\(524\) 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 0.0993669 0.995051i \(-0.468318\pi\)
0.911423 + 0.411471i \(0.134985\pi\)
\(542\) −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 \(0.163631\pi\)
−0.870754 + 0.491718i \(0.836369\pi\)
\(548\) −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 −0.959020 0.283337i \(-0.908558\pi\)
0.724887 + 0.688867i \(0.241892\pi\)
\(558\) −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 −0.0576315 0.998338i \(-0.518355\pi\)
0.893402 0.449259i \(-0.148312\pi\)
\(564\) −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 0.994459 + 0.105127i \(0.0335248\pi\)
−0.406187 + 0.913790i \(0.633142\pi\)
\(570\) −9.16329 7.70640i −0.383808 0.322785i
\(571\) 1.96859 3.40970i 0.0823829 0.142691i −0.821890 0.569646i \(-0.807080\pi\)
0.904273 + 0.426955i \(0.140414\pi\)
\(572\) −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 0.00884126 + 0.999961i \(0.497186\pi\)
−0.870412 + 0.492324i \(0.836148\pi\)
\(578\) −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 −0.875153 0.483847i \(-0.839239\pi\)
0.0185530 0.999828i \(-0.494094\pi\)
\(594\) 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 0.842332 0.538959i \(-0.181182\pi\)
−0.0455861 + 0.998960i \(0.514516\pi\)
\(600\) 17.2398 + 16.0828i 0.703810 + 0.656576i
\(601\) 8.10668i 0.330679i 0.986237 + 0.165339i \(0.0528719\pi\)
−0.986237 + 0.165339i \(0.947128\pi\)
\(602\) 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 −0.269201 0.963084i \(-0.586760\pi\)
0.699455 + 0.714677i \(0.253426\pi\)
\(608\) −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 −0.971418 0.237377i \(-0.923712\pi\)
0.691283 + 0.722584i \(0.257046\pi\)
\(614\) 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 \(0.0122857\pi\)
−0.999255 + 0.0385870i \(0.987714\pi\)
\(618\) −18.2070 + 43.1372i −0.732392 + 1.73523i
\(619\) −19.2245 11.0993i −0.772699 0.446118i 0.0611375 0.998129i \(-0.480527\pi\)
−0.833837 + 0.552011i \(0.813861\pi\)
\(620\) −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 \(0.0283845\pi\)
−0.996027 + 0.0890545i \(0.971615\pi\)
\(632\) 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 0.318058 + 0.948071i \(0.396969\pi\)
−0.980083 + 0.198590i \(0.936364\pi\)
\(642\) −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 0.821963 0.569541i \(-0.192879\pi\)
−0.0822561 + 0.996611i \(0.526213\pi\)
\(648\) −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 0.765568 0.643355i \(-0.222458\pi\)
−0.939946 + 0.341324i \(0.889125\pi\)
\(654\) 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 −0.799945 0.600073i \(-0.795138\pi\)
0.919651 + 0.392736i \(0.128472\pi\)
\(662\) 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 \(0.195892\pi\)
−0.816535 + 0.577296i \(0.804108\pi\)
\(674\) −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 −0.0863404 0.996266i \(-0.527517\pi\)
0.819621 + 0.572906i \(0.194184\pi\)
\(678\) −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 0.473788 0.880639i \(-0.342886\pi\)
−0.525761 + 0.850632i \(0.676219\pi\)
\(684\) 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 −0.991546 0.129753i \(-0.958581\pi\)
−0.383404 + 0.923581i \(0.625248\pi\)
\(692\) 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 \(-0.734163\pi\)
0.671065 0.741399i \(-0.265837\pi\)
\(702\) 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 −0.635461 0.772133i \(-0.719190\pi\)
0.350956 + 0.936392i \(0.385857\pi\)
\(710\) 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 0.844170 0.536076i \(-0.180094\pi\)
−0.886340 + 0.463034i \(0.846761\pi\)
\(720\) −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 \(-0.916359\pi\)
0.965676 0.259751i \(-0.0836406\pi\)
\(728\) 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 −0.486447 0.873710i \(-0.661707\pi\)
0.513431 + 0.858131i \(0.328374\pi\)
\(734\) −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 −0.0519693 + 0.998649i \(0.516550\pi\)
−0.838870 + 0.544331i \(0.816784\pi\)
\(740\) 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 −0.189411 0.981898i \(-0.560658\pi\)
0.755643 + 0.654983i \(0.227324\pi\)
\(752\) −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 −0.515745 0.856742i \(-0.672485\pi\)
0.484088 + 0.875019i \(0.339151\pi\)
\(762\) 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 \(-0.934652\pi\)
0.979000 0.203858i \(-0.0653481\pi\)
\(770\) 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 0.787202 0.616695i \(-0.211529\pi\)
−0.140473 + 0.990085i \(0.544862\pi\)