Properties

Label 280.2.ba.b.19.19
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 19.19
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.19

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.175210 - 1.40332i) q^{2} +(0.833565 + 1.44378i) q^{3} +(-1.93860 + 0.491749i) q^{4} +(0.660510 + 2.13629i) q^{5} +(1.88003 - 1.42272i) q^{6} +(-2.56833 + 0.635367i) q^{7} +(1.02974 + 2.63432i) q^{8} +(0.110340 - 0.191114i) q^{9} +O(q^{10})\) \(q+(-0.175210 - 1.40332i) q^{2} +(0.833565 + 1.44378i) q^{3} +(-1.93860 + 0.491749i) 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} +(2.88216 - 1.30120i) q^{10} +(-0.395322 - 0.684718i) q^{11} +(-2.32593 - 2.38900i) q^{12} +6.84388i q^{13} +(1.34162 + 3.49286i) q^{14} +(-2.53375 + 2.73436i) q^{15} +(3.51636 - 1.90661i) q^{16} +(1.46309 + 2.53414i) q^{17} +(-0.287526 - 0.121357i) q^{18} +(1.96683 + 1.13555i) q^{19} +(-2.33098 - 3.81661i) q^{20} +(-3.05820 - 3.17847i) q^{21} +(-0.891613 + 0.674732i) q^{22} +(0.946588 - 1.63954i) q^{23} +(-2.94501 + 3.68259i) q^{24} +(-4.12745 + 2.82208i) q^{25} +(9.60414 - 1.19911i) q^{26} +5.36929 q^{27} +(4.66653 - 2.49470i) q^{28} -2.46658i q^{29} +(4.28112 + 3.07656i) q^{30} +(-2.87365 - 4.97731i) q^{31} +(-3.29169 - 4.60052i) 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} +(1.24893 - 2.95905i) q^{38} +(-9.88103 + 5.70482i) q^{39} +(-4.94751 + 3.93982i) q^{40} +3.71071i q^{41} +(-3.92458 + 4.84852i) q^{42} -9.52516i q^{43} +(1.10308 + 1.13300i) q^{44} +(0.481155 + 0.109485i) q^{45} +(-2.46665 - 1.04110i) q^{46} +(0.185107 + 0.106871i) q^{47} +(5.68384 + 3.48756i) q^{48} +(6.19262 - 3.26366i) q^{49} +(4.68344 + 5.29768i) q^{50} +(-2.43916 + 4.22474i) q^{51} +(-3.36547 - 13.2676i) q^{52} +(3.21770 + 5.57322i) q^{53} +(-0.940751 - 7.53482i) q^{54} +(1.20164 - 1.29679i) q^{55} +(-4.31847 - 6.11153i) q^{56} +3.78622i q^{57} +(-3.46140 + 0.432169i) q^{58} +(0.430991 - 0.248833i) q^{59} +(3.56730 - 6.54681i) 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} +(-1.71738 - 0.724858i) q^{66} +(-2.83429 + 1.63638i) q^{67} +(-4.08251 - 4.19322i) q^{68} +3.15617 q^{69} +(-6.57560 + 5.17315i) q^{70} +4.40847i q^{71} +(0.617076 + 0.0938716i) q^{72} +(3.18360 + 5.51416i) q^{73} +(-6.75124 - 2.84951i) 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} +(6.39567 + 6.25263i) q^{80} +(4.14463 + 7.17871i) q^{81} +(5.20731 - 0.650152i) q^{82} -13.5430 q^{83} +(7.49164 + 4.65793i) q^{84} +(-4.44727 + 4.79940i) q^{85} +(-13.3668 + 1.66890i) q^{86} +(3.56120 - 2.05606i) q^{87} +(1.39669 - 1.74649i) q^{88} +(-9.86730 - 5.69689i) q^{89} +(0.0693390 - 0.694396i) q^{90} +(-4.34837 - 17.5773i) q^{91} +(-1.02882 + 3.64390i) q^{92} +(4.79075 - 8.29782i) q^{93} +(0.117542 - 0.278488i) q^{94} +(-1.12675 + 4.95176i) q^{95} +(3.89829 - 8.58729i) q^{96} +13.0656 q^{97} +(-5.66496 - 8.11839i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.175210 1.40332i −0.123892 0.992296i
\(3\) 0.833565 + 1.44378i 0.481259 + 0.833565i 0.999769 0.0215069i \(-0.00684639\pi\)
−0.518510 + 0.855072i \(0.673513\pi\)
\(4\) −1.93860 + 0.491749i −0.969302 + 0.245875i
\(5\) 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
\(10\) 2.88216 1.30120i 0.911420 0.411477i
\(11\) −0.395322 0.684718i −0.119194 0.206450i 0.800254 0.599661i \(-0.204698\pi\)
−0.919449 + 0.393210i \(0.871364\pi\)
\(12\) −2.32593 2.38900i −0.671437 0.689646i
\(13\) 6.84388i 1.89815i 0.315049 + 0.949076i \(0.397979\pi\)
−0.315049 + 0.949076i \(0.602021\pi\)
\(14\) 1.34162 + 3.49286i 0.358562 + 0.933506i
\(15\) −2.53375 + 2.73436i −0.654210 + 0.706009i
\(16\) 3.51636 1.90661i 0.879091 0.476654i
\(17\) 1.46309 + 2.53414i 0.354851 + 0.614620i 0.987092 0.160152i \(-0.0511983\pi\)
−0.632242 + 0.774771i \(0.717865\pi\)
\(18\) −0.287526 0.121357i −0.0677705 0.0286040i
\(19\) 1.96683 + 1.13555i 0.451222 + 0.260513i 0.708346 0.705865i \(-0.249442\pi\)
−0.257124 + 0.966378i \(0.582775\pi\)
\(20\) −2.33098 3.81661i −0.521224 0.853420i
\(21\) −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 \(-0.770091\pi\)
0.947677 + 0.319230i \(0.103424\pi\)
\(24\) −2.94501 + 3.68259i −0.601147 + 0.751706i
\(25\) −4.12745 + 2.82208i −0.825491 + 0.564416i
\(26\) 9.60414 1.19911i 1.88353 0.235165i
\(27\) 5.36929 1.03332
\(28\) 4.66653 2.49470i 0.881891 0.471454i
\(29\) 2.46658i 0.458033i −0.973423 0.229017i \(-0.926449\pi\)
0.973423 0.229017i \(-0.0735510\pi\)
\(30\) 4.28112 + 3.07656i 0.781621 + 0.561701i
\(31\) −2.87365 4.97731i −0.516123 0.893951i −0.999825 0.0187183i \(-0.994041\pi\)
0.483702 0.875233i \(-0.339292\pi\)
\(32\) −3.29169 4.60052i −0.581894 0.813265i
\(33\) 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 \(-0.693281\pi\)
0.996507 + 0.0835133i \(0.0266141\pi\)
\(38\) 1.24893 2.95905i 0.202603 0.480021i
\(39\) −9.88103 + 5.70482i −1.58223 + 0.913502i
\(40\) −4.94751 + 3.93982i −0.782270 + 0.622940i
\(41\) 3.71071i 0.579516i 0.957100 + 0.289758i \(0.0935748\pi\)
−0.957100 + 0.289758i \(0.906425\pi\)
\(42\) −3.92458 + 4.84852i −0.605576 + 0.748143i
\(43\) 9.52516i 1.45257i −0.687392 0.726286i \(-0.741245\pi\)
0.687392 0.726286i \(-0.258755\pi\)
\(44\) 1.10308 + 1.13300i 0.166296 + 0.170806i
\(45\) 0.481155 + 0.109485i 0.0717263 + 0.0163210i
\(46\) −2.46665 1.04110i −0.363687 0.153502i
\(47\) 0.185107 + 0.106871i 0.0270006 + 0.0155888i 0.513440 0.858126i \(-0.328371\pi\)
−0.486439 + 0.873715i \(0.661704\pi\)
\(48\) 5.68384 + 3.48756i 0.820392 + 0.503386i
\(49\) 6.19262 3.26366i 0.884660 0.466237i
\(50\) 4.68344 + 5.29768i 0.662339 + 0.749204i
\(51\) −2.43916 + 4.22474i −0.341550 + 0.591582i
\(52\) −3.36547 13.2676i −0.466707 1.83988i
\(53\) 3.21770 + 5.57322i 0.441985 + 0.765540i 0.997837 0.0657412i \(-0.0209412\pi\)
−0.555852 + 0.831281i \(0.687608\pi\)
\(54\) −0.940751 7.53482i −0.128020 1.02536i
\(55\) 1.20164 1.29679i 0.162029 0.174859i
\(56\) −4.31847 6.11153i −0.577080 0.816687i
\(57\) 3.78622i 0.501497i
\(58\) −3.46140 + 0.432169i −0.454504 + 0.0567466i
\(59\) 0.430991 0.248833i 0.0561102 0.0323953i −0.471682 0.881768i \(-0.656353\pi\)
0.527793 + 0.849373i \(0.323020\pi\)
\(60\) 3.56730 6.54681i 0.460537 0.845190i
\(61\) 5.87951 10.1836i 0.752794 1.30388i −0.193670 0.981067i \(-0.562039\pi\)
0.946464 0.322810i \(-0.104628\pi\)
\(62\) −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
\(66\) −1.71738 0.724858i −0.211395 0.0892238i
\(67\) −2.83429 + 1.63638i −0.346264 + 0.199916i −0.663039 0.748585i \(-0.730734\pi\)
0.316774 + 0.948501i \(0.397400\pi\)
\(68\) −4.08251 4.19322i −0.495077 0.508503i
\(69\) 3.15617 0.379958
\(70\) −6.57560 + 5.17315i −0.785935 + 0.618309i
\(71\) 4.40847i 0.523189i 0.965178 + 0.261594i \(0.0842483\pi\)
−0.965178 + 0.261594i \(0.915752\pi\)
\(72\) 0.617076 + 0.0938716i 0.0727231 + 0.0110629i
\(73\) 3.18360 + 5.51416i 0.372612 + 0.645384i 0.989967 0.141302i \(-0.0451288\pi\)
−0.617354 + 0.786685i \(0.711795\pi\)
\(74\) −6.75124 2.84951i −0.784816 0.331248i
\(75\) −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 \(-0.222543\pi\)
−0.174641 + 0.984632i \(0.555877\pi\)
\(80\) 6.39567 + 6.25263i 0.715058 + 0.699065i
\(81\) 4.14463 + 7.17871i 0.460515 + 0.797635i
\(82\) 5.20731 0.650152i 0.575051 0.0717973i
\(83\) −13.5430 −1.48654 −0.743271 0.668990i \(-0.766727\pi\)
−0.743271 + 0.668990i \(0.766727\pi\)
\(84\) 7.49164 + 4.65793i 0.817405 + 0.508222i
\(85\) −4.44727 + 4.79940i −0.482375 + 0.520568i
\(86\) −13.3668 + 1.66890i −1.44138 + 0.179962i
\(87\) 3.56120 2.05606i 0.381800 0.220432i
\(88\) 1.39669 1.74649i 0.148887 0.186176i
\(89\) −9.86730 5.69689i −1.04593 0.603869i −0.124424 0.992229i \(-0.539708\pi\)
−0.921508 + 0.388360i \(0.873042\pi\)
\(90\) 0.0693390 0.694396i 0.00730897 0.0731957i
\(91\) −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
\(94\) 0.117542 0.278488i 0.0121235 0.0287239i
\(95\) −1.12675 + 4.95176i −0.115602 + 0.508040i
\(96\) 3.89829 8.58729i 0.397868 0.876437i
\(97\) 13.0656 1.32661 0.663303 0.748351i \(-0.269154\pi\)
0.663303 + 0.748351i \(0.269154\pi\)
\(98\) −5.66496 8.11839i −0.572247 0.820081i
\(99\) −0.174479 −0.0175358
\(100\) 6.61374 7.50056i 0.661374 0.750056i
\(101\) 5.16640 + 8.94847i 0.514076 + 0.890406i 0.999867 + 0.0163310i \(0.00519856\pi\)
−0.485790 + 0.874075i \(0.661468\pi\)
\(102\) 6.35602 + 2.68270i 0.629340 + 0.265627i
\(103\) −17.1988 9.92971i −1.69464 0.978403i −0.950675 0.310189i \(-0.899608\pi\)
−0.743969 0.668214i \(-0.767059\pi\)
\(104\) −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 \(0.382322\pi\)
\(108\) −10.4089 + 2.64035i −1.00160 + 0.254067i
\(109\) 12.8463 7.41679i 1.23045 0.710400i 0.263326 0.964707i \(-0.415181\pi\)
0.967124 + 0.254307i \(0.0818473\pi\)
\(110\) −2.03034 1.45908i −0.193585 0.139117i
\(111\) 8.63847 0.819928
\(112\) −7.81978 + 7.13099i −0.738900 + 0.673815i
\(113\) 4.32459i 0.406823i −0.979093 0.203411i \(-0.934797\pi\)
0.979093 0.203411i \(-0.0652029\pi\)
\(114\) 5.31327 0.663381i 0.497633 0.0621314i
\(115\) 4.12776 + 0.939254i 0.384915 + 0.0875859i
\(116\) 1.21294 + 4.78173i 0.112619 + 0.443972i
\(117\) 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
\(120\) −9.81229 3.85900i −0.895735 0.352277i
\(121\) 5.18744 8.98491i 0.471585 0.816810i
\(122\) −15.3210 6.46655i −1.38710 0.585454i
\(123\) −5.35744 + 3.09312i −0.483064 + 0.278897i
\(124\) 8.01846 + 8.23591i 0.720079 + 0.739607i
\(125\) −8.75499 6.95342i −0.783071 0.621933i
\(126\) 0.815567 + 0.128999i 0.0726565 + 0.0114922i
\(127\) 4.67057 0.414446 0.207223 0.978294i \(-0.433557\pi\)
0.207223 + 0.978294i \(0.433557\pi\)
\(128\) 8.64358 + 7.29990i 0.763992 + 0.645226i
\(129\) 13.7522 7.93983i 1.21081 0.699063i
\(130\) 8.90528 + 19.7252i 0.781045 + 1.73001i
\(131\) 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
\(136\) −5.16913 + 6.46375i −0.443249 + 0.554262i
\(137\) −12.5411 + 7.24059i −1.07146 + 0.618606i −0.928579 0.371135i \(-0.878969\pi\)
−0.142877 + 0.989740i \(0.545635\pi\)
\(138\) −0.552991 4.42911i −0.0470737 0.377031i
\(139\) 10.9687i 0.930349i 0.885219 + 0.465175i \(0.154008\pi\)
−0.885219 + 0.465175i \(0.845992\pi\)
\(140\) 8.41168 + 8.32128i 0.710917 + 0.703276i
\(141\) 0.356337i 0.0300090i
\(142\) 6.18648 0.772405i 0.519158 0.0648188i
\(143\) 4.68613 2.70554i 0.391874 0.226249i
\(144\) 0.0236141 0.882401i 0.00196784 0.0735334i
\(145\) 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 \(-0.126732\pi\)
0.125130 + 0.992140i \(0.460065\pi\)
\(150\) −3.74471 + 11.1778i −0.305754 + 0.912664i
\(151\) 13.6780 7.89697i 1.11310 0.642647i 0.173467 0.984840i \(-0.444503\pi\)
0.939630 + 0.342193i \(0.111170\pi\)
\(152\) −0.966070 + 6.35058i −0.0783586 + 0.515100i
\(153\) 0.645746 0.0522055
\(154\) 1.86125 2.29944i 0.149984 0.185294i
\(155\) 8.73489 9.42651i 0.701603 0.757155i
\(156\) 16.3501 15.9184i 1.30905 1.27449i
\(157\) 8.15924 4.71074i 0.651178 0.375958i −0.137729 0.990470i \(-0.543980\pi\)
0.788907 + 0.614512i \(0.210647\pi\)
\(158\) 3.33420 7.89961i 0.265255 0.628459i
\(159\) −5.36432 + 9.29127i −0.425418 + 0.736846i
\(160\) 7.65385 10.0707i 0.605090 0.796157i
\(161\) −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 \(0.727486\pi\)
\(164\) −1.82474 7.19360i −0.142488 0.561726i
\(165\) 2.87391 + 0.653947i 0.223734 + 0.0509097i
\(166\) 2.37287 + 19.0052i 0.184171 + 1.47509i
\(167\) 10.5301i 0.814840i −0.913241 0.407420i \(-0.866428\pi\)
0.913241 0.407420i \(-0.133572\pi\)
\(168\) 5.22395 11.3293i 0.403037 0.874072i
\(169\) −33.8387 −2.60298
\(170\) 7.51429 + 5.40004i 0.576320 + 0.414164i
\(171\) 0.434039 0.250592i 0.0331918 0.0191633i
\(172\) 4.68399 + 18.4655i 0.357151 + 1.40798i
\(173\) −10.0480 5.80119i −0.763933 0.441057i 0.0667734 0.997768i \(-0.478730\pi\)
−0.830706 + 0.556712i \(0.812063\pi\)
\(174\) −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
\(178\) −6.26570 + 14.8451i −0.469634 + 1.11269i
\(179\) 9.70530 + 16.8101i 0.725408 + 1.25644i 0.958806 + 0.284062i \(0.0916822\pi\)
−0.233398 + 0.972381i \(0.574984\pi\)
\(180\) −0.986607 + 0.0243601i −0.0735373 + 0.00181570i
\(181\) −16.8009 −1.24880 −0.624401 0.781104i \(-0.714657\pi\)
−0.624401 + 0.781104i \(0.714657\pi\)
\(182\) −23.9047 + 9.18187i −1.77194 + 0.680605i
\(183\) 19.6038 1.44915
\(184\) 5.29381 + 0.805311i 0.390265 + 0.0593683i
\(185\) 11.2977 + 2.57075i 0.830625 + 0.189005i
\(186\) −12.4839 5.26909i −0.915361 0.386348i
\(187\) 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
\(190\) 7.14631 + 0.713595i 0.518448 + 0.0517697i
\(191\) −9.58750 5.53535i −0.693727 0.400524i 0.111280 0.993789i \(-0.464505\pi\)
−0.805007 + 0.593266i \(0.797838\pi\)
\(192\) −12.7337 3.96597i −0.918977 0.286219i
\(193\) −2.30035 + 1.32811i −0.165583 + 0.0955994i −0.580501 0.814259i \(-0.697143\pi\)
0.414918 + 0.909859i \(0.363810\pi\)
\(194\) −2.28921 18.3351i −0.164356 1.31639i
\(195\) −18.7137 17.3406i −1.34011 1.24179i
\(196\) −10.4001 + 9.37216i −0.742866 + 0.669440i
\(197\) −9.96943 −0.710292 −0.355146 0.934811i \(-0.615569\pi\)
−0.355146 + 0.934811i \(0.615569\pi\)
\(198\) 0.0305704 + 0.244849i 0.00217254 + 0.0174007i
\(199\) 0.373969 + 0.647733i 0.0265099 + 0.0459166i 0.878976 0.476866i \(-0.158227\pi\)
−0.852466 + 0.522783i \(0.824894\pi\)
\(200\) −11.6845 7.96701i −0.826216 0.563353i
\(201\) −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
\(206\) −10.9212 + 25.8751i −0.760913 + 1.80280i
\(207\) −0.208892 0.361812i −0.0145190 0.0251477i
\(208\) 13.0486 + 24.0656i 0.904760 + 1.66865i
\(209\) 1.79563i 0.124207i
\(210\) −12.9501 5.18155i −0.893639 0.357561i
\(211\) −13.0773 −0.900281 −0.450140 0.892958i \(-0.648626\pi\)
−0.450140 + 0.892958i \(0.648626\pi\)
\(212\) −8.97847 9.22195i −0.616644 0.633366i
\(213\) −6.36484 + 3.67474i −0.436112 + 0.251789i
\(214\) 8.86422 21.0017i 0.605945 1.43565i
\(215\) 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
\(220\) −1.69181 + 3.10486i −0.114062 + 0.209330i
\(221\) −17.3434 + 10.0132i −1.16664 + 0.673560i
\(222\) −1.51354 12.1225i −0.101582 0.813611i
\(223\) 4.09586i 0.274279i −0.990552 0.137140i \(-0.956209\pi\)
0.990552 0.137140i \(-0.0437909\pi\)
\(224\) 11.3771 + 9.72422i 0.760168 + 0.649727i
\(225\) 0.0839164 + 1.10020i 0.00559443 + 0.0733467i
\(226\) −6.06877 + 0.757709i −0.403689 + 0.0504020i
\(227\) 4.93818 + 8.55319i 0.327759 + 0.567695i 0.982067 0.188533i \(-0.0603733\pi\)
−0.654308 + 0.756228i \(0.727040\pi\)
\(228\) −1.86187 7.33997i −0.123305 0.486102i
\(229\) −1.67919 + 2.90845i −0.110964 + 0.192196i −0.916159 0.400814i \(-0.868727\pi\)
0.805195 + 0.593010i \(0.202061\pi\)
\(230\) 0.594849 5.95712i 0.0392232 0.392801i
\(231\) −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 \(0.892286\pi\)
\(234\) 0.830550 1.96779i 0.0542948 0.128639i
\(235\) −0.106043 + 0.466031i −0.00691750 + 0.0304005i
\(236\) −0.713157 + 0.694328i −0.0464226 + 0.0451969i
\(237\) 10.1079i 0.656576i
\(238\) −6.88850 + 8.51021i −0.446515 + 0.551635i
\(239\) 6.74480i 0.436285i −0.975917 0.218142i \(-0.930000\pi\)
0.975917 0.218142i \(-0.0699997\pi\)
\(240\) −3.69620 + 14.4459i −0.238589 + 0.932478i
\(241\) −1.18354 + 0.683317i −0.0762385 + 0.0440163i −0.537635 0.843178i \(-0.680682\pi\)
0.461396 + 0.887194i \(0.347349\pi\)
\(242\) −13.5176 5.70539i −0.868943 0.366756i
\(243\) 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
\(248\) 10.1527 12.6955i 0.644697 0.806162i
\(249\) −11.2890 19.5531i −0.715412 1.23913i
\(250\) −8.22390 + 13.5043i −0.520125 + 0.854090i
\(251\) 15.4536i 0.975423i −0.873005 0.487712i \(-0.837832\pi\)
0.873005 0.487712i \(-0.162168\pi\)
\(252\) 0.0381318 1.16710i 0.00240207 0.0735205i
\(253\) −1.49683 −0.0941049
\(254\) −0.818329 6.55430i −0.0513465 0.411253i
\(255\) −10.6364 2.42026i −0.666074 0.151562i
\(256\) 8.72965 13.4087i 0.545603 0.838044i
\(257\) 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
\(260\) 26.1204 15.9530i 1.61992 0.989362i
\(261\) −0.471398 0.272162i −0.0291788 0.0168464i
\(262\) 8.51915 20.1841i 0.526315 1.24698i
\(263\) 14.1558 + 24.5185i 0.872883 + 1.51188i 0.859001 + 0.511974i \(0.171086\pi\)
0.0138820 + 0.999904i \(0.495581\pi\)
\(264\) 3.68577 + 0.560691i 0.226843 + 0.0345081i
\(265\) −9.78068 + 10.5551i −0.600822 + 0.648394i
\(266\) −1.32758 + 8.39333i −0.0813993 + 0.514628i
\(267\) 18.9949i 1.16247i
\(268\) 4.68988 4.56606i 0.286480 0.278916i
\(269\) 1.84643 + 3.19810i 0.112579 + 0.194992i 0.916809 0.399325i \(-0.130756\pi\)
−0.804231 + 0.594317i \(0.797422\pi\)
\(270\) 15.4752 6.98654i 0.941789 0.425187i
\(271\) −0.382982 + 0.663345i −0.0232645 + 0.0402953i −0.877423 0.479717i \(-0.840739\pi\)
0.854159 + 0.520012i \(0.174073\pi\)
\(272\) 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
\(276\) −6.11856 + 1.55204i −0.368294 + 0.0934221i
\(277\) −9.73148 16.8554i −0.584708 1.01274i −0.994912 0.100750i \(-0.967876\pi\)
0.410204 0.911994i \(-0.365458\pi\)
\(278\) 15.3925 1.92181i 0.923181 0.115263i
\(279\) −1.26831 −0.0759318
\(280\) 10.2036 13.2622i 0.609781 0.792570i
\(281\) −7.20046 −0.429544 −0.214772 0.976664i \(-0.568901\pi\)
−0.214772 + 0.976664i \(0.568901\pi\)
\(282\) 0.500054 0.0624336i 0.0297778 0.00371787i
\(283\) 5.91380 + 10.2430i 0.351539 + 0.608883i 0.986519 0.163645i \(-0.0523252\pi\)
−0.634980 + 0.772528i \(0.718992\pi\)
\(284\) −2.16786 8.54627i −0.128639 0.507128i
\(285\) −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
\(290\) −3.20953 7.10910i −0.188470 0.417461i
\(291\) 10.8910 + 18.8637i 0.638441 + 1.10581i
\(292\) −8.88333 9.12423i −0.519857 0.533955i
\(293\) 11.8864i 0.694410i 0.937789 + 0.347205i \(0.112869\pi\)
−0.937789 + 0.347205i \(0.887131\pi\)
\(294\) 6.99903 14.9461i 0.408192 0.871676i
\(295\) 0.816252 + 0.756364i 0.0475240 + 0.0440372i
\(296\) 14.4892 + 2.20415i 0.842169 + 0.128113i
\(297\) −2.12260 3.67645i −0.123166 0.213329i
\(298\) 8.11476 19.2260i 0.470075 1.11373i
\(299\) 11.2208 + 6.47834i 0.648916 + 0.374652i
\(300\) 16.3421 + 3.29656i 0.943513 + 0.190327i
\(301\) 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
\(304\) 9.08115 + 0.243022i 0.520840 + 0.0139383i
\(305\) 25.6386 + 5.83395i 1.46806 + 0.334051i
\(306\) −0.113141 0.906187i −0.00646783 0.0518033i
\(307\) −18.3489 −1.04723 −0.523615 0.851955i \(-0.675417\pi\)
−0.523615 + 0.851955i \(0.675417\pi\)
\(308\) −3.55295 2.20905i −0.202448 0.125872i
\(309\) 33.1082i 1.88346i
\(310\) −14.7588 10.6062i −0.838245 0.602393i
\(311\) −3.85642 6.67951i −0.218677 0.378760i 0.735726 0.677279i \(-0.236841\pi\)
−0.954404 + 0.298518i \(0.903508\pi\)
\(312\) −25.2032 20.1553i −1.42685 1.14107i
\(313\) −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 \(0.351633\pi\)
−0.998348 + 0.0574593i \(0.981700\pi\)
\(318\) 13.9785 + 5.89993i 0.783875 + 0.330851i
\(319\) −1.68892 + 0.975096i −0.0945611 + 0.0545949i
\(320\) −15.4734 8.97630i −0.864989 0.501791i
\(321\) 26.8725i 1.49988i
\(322\) 6.99664 + 1.10667i 0.389907 + 0.0616721i
\(323\) 6.64563i 0.369773i
\(324\) −11.5649 11.8786i −0.642496 0.659920i
\(325\) −19.3140 28.2478i −1.07135 1.56691i
\(326\) −2.66668 + 6.31808i −0.147694 + 0.349926i
\(327\) 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
\(330\) 0.414159 4.14759i 0.0227987 0.228318i
\(331\) −1.08473 + 1.87881i −0.0596222 + 0.103269i −0.894296 0.447476i \(-0.852323\pi\)
0.834674 + 0.550745i \(0.185656\pi\)
\(332\) 26.2546 6.65979i 1.44091 0.365503i
\(333\) −0.571741 0.990284i −0.0313312 0.0542672i
\(334\) −14.7770 + 1.84497i −0.808563 + 0.100952i
\(335\) −5.36786 4.97403i −0.293278 0.271760i
\(336\) −16.8139 5.34587i −0.917271 0.291641i
\(337\) 0.664494i 0.0361973i 0.999836 + 0.0180986i \(0.00576129\pi\)
−0.999836 + 0.0180986i \(0.994239\pi\)
\(338\) 5.92886 + 47.4865i 0.322488 + 2.58292i
\(339\) 6.24374 3.60482i 0.339113 0.195787i
\(340\) 6.26140 11.4911i 0.339572 0.623191i
\(341\) −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
\(346\) −6.38042 + 15.1169i −0.343014 + 0.812690i
\(347\) −23.4079 + 13.5146i −1.25660 + 0.725500i −0.972412 0.233268i \(-0.925058\pi\)
−0.284190 + 0.958768i \(0.591725\pi\)
\(348\) −5.89268 + 5.73709i −0.315881 + 0.307541i
\(349\) 22.2420 1.19059 0.595295 0.803508i \(-0.297035\pi\)
0.595295 + 0.803508i \(0.297035\pi\)
\(350\) −15.3946 10.6305i −0.822875 0.568222i
\(351\) 36.7468i 1.96140i
\(352\) −1.84878 + 4.07257i −0.0985405 + 0.217069i
\(353\) −6.08471 10.5390i −0.323856 0.560936i 0.657424 0.753521i \(-0.271646\pi\)
−0.981280 + 0.192585i \(0.938313\pi\)
\(354\) 0.456256 1.08099i 0.0242497 0.0574541i
\(355\) −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 \(-0.666254\pi\)
−0.999999 + 0.00129574i \(0.999588\pi\)
\(360\) 0.207048 + 1.38026i 0.0109124 + 0.0727458i
\(361\) −6.92105 11.9876i −0.364266 0.630927i
\(362\) 2.94368 + 23.5770i 0.154716 + 1.23918i
\(363\) 17.2963 0.907819
\(364\) 17.0734 + 31.9372i 0.894890 + 1.67396i
\(365\) −9.67703 + 10.4432i −0.506519 + 0.546625i
\(366\) −3.43477 27.5104i −0.179538 1.43799i
\(367\) −0.00646496 + 0.00373255i −0.000337468 + 0.000194837i −0.500169 0.865928i \(-0.666729\pi\)
0.499831 + 0.866123i \(0.333395\pi\)
\(368\) 0.202582 7.57000i 0.0105603 0.394613i
\(369\) 0.709169 + 0.409439i 0.0369178 + 0.0213145i
\(370\) 1.62811 16.3047i 0.0846414 0.847642i
\(371\) −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 \(-0.469116\pi\)
0.813516 0.581542i \(-0.197551\pi\)
\(374\) −3.01438 1.27228i −0.155870 0.0657882i
\(375\) 2.74133 18.4364i 0.141562 0.952051i
\(376\) −0.0909209 + 0.597680i −0.00468889 + 0.0308230i
\(377\) 16.8810 0.869416
\(378\) 7.20353 + 18.7542i 0.370510 + 0.964610i
\(379\) 17.3297 0.890165 0.445082 0.895490i \(-0.353174\pi\)
0.445082 + 0.895490i \(0.353174\pi\)
\(380\) −0.250700 10.1536i −0.0128606 0.520867i
\(381\) 3.89322 + 6.74326i 0.199456 + 0.345468i
\(382\) −6.08803 + 14.4242i −0.311491 + 0.738004i
\(383\) 5.87162 + 3.38998i 0.300026 + 0.173220i 0.642455 0.766324i \(-0.277916\pi\)
−0.342429 + 0.939544i \(0.611249\pi\)
\(384\) −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
\(388\) −25.3289 + 6.42498i −1.28588 + 0.326179i
\(389\) −4.97969 + 2.87502i −0.252480 + 0.145770i −0.620899 0.783890i \(-0.713232\pi\)
0.368419 + 0.929660i \(0.379899\pi\)
\(390\) −21.0556 + 29.2995i −1.06619 + 1.48364i
\(391\) 5.53977 0.280158
\(392\) 14.9743 + 12.9526i 0.756317 + 0.654205i
\(393\) 25.8264i 1.30277i
\(394\) 1.74674 + 13.9903i 0.0879994 + 0.704820i
\(395\) −3.00803 + 13.2194i −0.151350 + 0.665142i
\(396\) 0.338245 0.0857999i 0.0169975 0.00431161i
\(397\) 4.00016 + 2.30949i 0.200762 + 0.115910i 0.597011 0.802233i \(-0.296355\pi\)
−0.396249 + 0.918143i \(0.629688\pi\)
\(398\) 0.843452 0.638286i 0.0422784 0.0319944i
\(399\) −2.40564 9.72425i −0.120432 0.486821i
\(400\) −9.13302 + 17.7929i −0.456651 + 0.889646i
\(401\) 8.29423 14.3660i 0.414194 0.717406i −0.581149 0.813797i \(-0.697397\pi\)
0.995344 + 0.0963914i \(0.0307301\pi\)
\(402\) −3.00045 + 7.10885i −0.149649 + 0.354557i
\(403\) 34.0641 19.6669i 1.69685 0.979679i
\(404\) −14.4160 14.8070i −0.717224 0.736674i
\(405\) −12.5982 + 13.5957i −0.626011 + 0.675578i
\(406\) 8.61543 3.30921i 0.427577 0.164233i
\(407\) −4.09684 −0.203073
\(408\) −13.6410 2.07511i −0.675331 0.102734i
\(409\) 14.1437 8.16589i 0.699363 0.403777i −0.107747 0.994178i \(-0.534364\pi\)
0.807110 + 0.590401i \(0.201030\pi\)
\(410\) 4.82839 + 10.6949i 0.238457 + 0.528183i
\(411\) −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
\(416\) 31.4854 22.5279i 1.54370 1.10452i
\(417\) −15.8363 + 9.14308i −0.775506 + 0.447739i
\(418\) −2.51984 + 0.314612i −0.123250 + 0.0153882i
\(419\) 25.5119i 1.24634i −0.782087 0.623170i \(-0.785845\pi\)
0.782087 0.623170i \(-0.214155\pi\)
\(420\) −5.00238 + 19.0809i −0.244091 + 0.931053i
\(421\) 5.65879i 0.275793i −0.990447 0.137896i \(-0.955966\pi\)
0.990447 0.137896i \(-0.0440341\pi\)
\(422\) 2.29127 + 18.3517i 0.111537 + 0.893345i
\(423\) 0.0408492 0.0235843i 0.00198616 0.00114671i
\(424\) −11.3682 + 14.2154i −0.552090 + 0.690362i
\(425\) −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
\(430\) −12.3942 27.4531i −0.597700 1.32390i
\(431\) 8.15466 4.70809i 0.392796 0.226781i −0.290575 0.956852i \(-0.593847\pi\)
0.683371 + 0.730071i \(0.260513\pi\)
\(432\) 18.8804 10.2372i 0.908383 0.492536i
\(433\) 2.39361 0.115030 0.0575148 0.998345i \(-0.481682\pi\)
0.0575148 + 0.998345i \(0.481682\pi\)
\(434\) 13.5297 16.7149i 0.649446 0.802341i
\(435\) 6.74453 + 6.24969i 0.323376 + 0.299650i
\(436\) −21.2566 + 20.6954i −1.01801 + 0.991128i
\(437\) 3.72356 2.14980i 0.178122 0.102839i
\(438\) 13.8304 + 5.83741i 0.660841 + 0.278922i
\(439\) −17.7739 + 30.7852i −0.848300 + 1.46930i 0.0344242 + 0.999407i \(0.489040\pi\)
−0.882724 + 0.469891i \(0.844293\pi\)
\(440\) 4.65353 + 1.83015i 0.221848 + 0.0872490i
\(441\) 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 \(0.760080\pi\)
\(444\) −16.7466 + 4.24797i −0.794757 + 0.201599i
\(445\) 5.65275 24.8423i 0.267966 1.17764i
\(446\) −5.74780 + 0.717634i −0.272166 + 0.0339810i
\(447\) 24.6004i 1.16356i
\(448\) 11.6528 17.6695i 0.550543 0.834807i
\(449\) 5.65182 0.266726 0.133363 0.991067i \(-0.457422\pi\)
0.133363 + 0.991067i \(0.457422\pi\)
\(450\) 1.52923 0.310527i 0.0720885 0.0146384i
\(451\) 2.54079 1.46693i 0.119641 0.0690749i
\(452\) 2.12661 + 8.38366i 0.100027 + 0.394334i
\(453\) 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 \(0.826479\pi\)
\(458\) 4.37569 + 1.84686i 0.204463 + 0.0862979i
\(459\) 7.85574 + 13.6065i 0.366675 + 0.635099i
\(460\) −8.46396 + 0.208982i −0.394634 + 0.00974384i
\(461\) −1.04586 −0.0487106 −0.0243553 0.999703i \(-0.507753\pi\)
−0.0243553 + 0.999703i \(0.507753\pi\)
\(462\) 4.87135 + 0.770506i 0.226636 + 0.0358472i
\(463\) −15.3524 −0.713488 −0.356744 0.934202i \(-0.616113\pi\)
−0.356744 + 0.934202i \(0.616113\pi\)
\(464\) −4.70282 8.67341i −0.218323 0.402653i
\(465\) 20.8909 + 4.75363i 0.968791 + 0.220444i
\(466\) −10.9280 + 25.8914i −0.506232 + 1.19940i
\(467\) 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
\(470\) 0.672569 + 0.0671595i 0.0310233 + 0.00309783i
\(471\) 13.6025 + 7.85341i 0.626770 + 0.361866i
\(472\) 1.09931 + 0.879133i 0.0506000 + 0.0404654i
\(473\) −6.52205 + 3.76551i −0.299884 + 0.173138i
\(474\) 14.1845 1.77099i 0.651518 0.0813444i
\(475\) −11.3226 + 0.863618i −0.519517 + 0.0396255i
\(476\) 13.1495 + 8.17568i 0.602704 + 0.374732i
\(477\) 1.42016 0.0650246
\(478\) −9.46510 + 1.18175i −0.432923 + 0.0540521i
\(479\) 10.5683 + 18.3049i 0.482879 + 0.836371i 0.999807 0.0196582i \(-0.00625780\pi\)
−0.516928 + 0.856029i \(0.672924\pi\)
\(480\) 20.9198 + 2.65588i 0.954853 + 0.121224i
\(481\) 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
\(486\) −2.98184 1.25855i −0.135259 0.0570890i
\(487\) −8.49641 14.7162i −0.385009 0.666855i 0.606761 0.794884i \(-0.292468\pi\)
−0.991770 + 0.128029i \(0.959135\pi\)
\(488\) 32.8812 + 5.00200i 1.48846 + 0.226430i
\(489\) 8.08424i 0.365582i
\(490\) 13.6015 17.4643i 0.614451 0.788955i
\(491\) 13.6290 0.615070 0.307535 0.951537i \(-0.400496\pi\)
0.307535 + 0.951537i \(0.400496\pi\)
\(492\) 8.86491 8.63085i 0.399661 0.389109i
\(493\) 6.25067 3.60883i 0.281516 0.162533i
\(494\) 20.2514 + 8.54753i 0.911152 + 0.384572i
\(495\) −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 \(0.275174\pi\)
\(500\) 20.3918 + 9.17466i 0.911949 + 0.410303i
\(501\) 15.2030 8.77748i 0.679222 0.392149i
\(502\) −21.6863 + 2.70762i −0.967908 + 0.120847i
\(503\) 24.2100i 1.07947i −0.841834 0.539736i \(-0.818524\pi\)
0.841834 0.539736i \(-0.181476\pi\)
\(504\) −1.64450 + 0.150976i −0.0732517 + 0.00672503i
\(505\) −15.7041 + 16.9475i −0.698821 + 0.754153i
\(506\) 0.262259 + 2.10053i 0.0116588 + 0.0933799i
\(507\) −28.2068 48.8555i −1.25271 2.16975i
\(508\) −9.05438 + 2.29675i −0.401723 + 0.101902i
\(509\) −4.43051 + 7.67386i −0.196379 + 0.340138i −0.947352 0.320195i \(-0.896252\pi\)
0.750973 + 0.660333i \(0.229585\pi\)
\(510\) −1.53280 + 15.3502i −0.0678735 + 0.679720i
\(511\) −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
\(514\) −32.6173 13.7668i −1.43869 0.607229i
\(515\) 9.85277 43.3002i 0.434165 1.90803i
\(516\) −22.7556 + 22.1548i −1.00176 + 0.975312i
\(517\) 0.168995i 0.00743237i
\(518\) 19.1499 + 3.02896i 0.841397 + 0.133085i
\(519\) 19.3427i 0.849050i
\(520\) −26.9637 33.8601i −1.18243 1.48487i
\(521\) −26.5478 + 15.3274i −1.16308 + 0.671505i −0.952041 0.305972i \(-0.901019\pi\)
−0.211041 + 0.977477i \(0.567685\pi\)
\(522\) −0.299336 + 0.709207i −0.0131016 + 0.0310411i
\(523\) 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
\(528\) 0.141046 5.27054i 0.00613823 0.229371i
\(529\) 9.70794 + 16.8146i 0.422084 + 0.731072i
\(530\) 16.5258 + 11.8760i 0.717836 + 0.515862i
\(531\) 0.109824i 0.00476598i
\(532\) 12.0111 + 0.392429i 0.520748 + 0.0170140i
\(533\) −25.3957 −1.10001
\(534\) −26.6559 + 3.32809i −1.15351 + 0.144021i
\(535\) −7.99706 + 35.1448i −0.345743 + 1.51944i
\(536\) −7.22934 5.78138i −0.312260 0.249718i
\(537\) −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
\(540\) −12.5157 20.4925i −0.538591 0.881856i
\(541\) −23.5104 13.5737i −1.01079 0.583580i −0.0993669 0.995051i \(-0.531682\pi\)
−0.911423 + 0.411471i \(0.865015\pi\)
\(542\) 0.997986 + 0.421222i 0.0428672 + 0.0180930i
\(543\) −14.0046 24.2567i −0.600997 1.04096i
\(544\) 6.84235 15.0726i 0.293363 0.646231i
\(545\) 24.3295 + 22.5445i 1.04216 + 0.965699i
\(546\) −33.1827 26.8594i −1.42009 1.14948i
\(547\) 23.0006i 0.983436i −0.870754 0.491718i \(-0.836369\pi\)
0.870754 0.491718i \(-0.163631\pi\)
\(548\) 20.7516 20.2037i 0.886465 0.863060i
\(549\) −1.29749 2.24731i −0.0553753 0.0959129i
\(550\) 1.77595 5.30113i 0.0757266 0.226041i
\(551\) 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
\(556\) −5.39383 21.2639i −0.228749 0.901789i
\(557\) 5.52574 + 9.57086i 0.234133 + 0.405530i 0.959020 0.283337i \(-0.0914415\pi\)
−0.724887 + 0.688867i \(0.758108\pi\)
\(558\) 0.222220 + 1.77984i 0.00940733 + 0.0753468i
\(559\) 65.1890 2.75720
\(560\) −20.3989 11.9952i −0.862011 0.506890i
\(561\) 3.85701 0.162843
\(562\) 1.26159 + 10.1045i 0.0532170 + 0.426234i
\(563\) 19.8308 + 34.3480i 0.835770 + 1.44760i 0.893402 + 0.449259i \(0.148312\pi\)
−0.0576315 + 0.998338i \(0.518355\pi\)
\(564\) −0.175228 0.690796i −0.00737845 0.0290877i
\(565\) 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 \(-0.0335248\pi\)
\(570\) 4.92664 + 10.9125i 0.206354 + 0.457074i
\(571\) 1.96859 + 3.40970i 0.0823829 + 0.142691i 0.904273 0.426955i \(-0.140414\pi\)
−0.821890 + 0.569646i \(0.807080\pi\)
\(572\) −7.75410 + 7.54937i −0.324215 + 0.315655i
\(573\) 18.4563i 0.771022i
\(574\) −12.9610 + 4.97836i −0.540982 + 0.207793i
\(575\) 0.719907 + 9.43847i 0.0300222 + 0.393611i
\(576\) 0.388142 + 1.72224i 0.0161726 + 0.0717599i
\(577\) −20.6956 35.8459i −0.861571 1.49228i −0.870412 0.492324i \(-0.836148\pi\)
0.00884126 0.999961i \(-0.497186\pi\)
\(578\) −10.9933 4.63998i −0.457262 0.192998i
\(579\) −3.83499 2.21413i −0.159377 0.0920161i
\(580\) −9.41399 + 5.74957i −0.390895 + 0.238738i
\(581\) 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
\(584\) −11.2478 + 14.0648i −0.465436 + 0.582005i
\(585\) −0.749300 + 3.29297i −0.0309798 + 0.136147i
\(586\) 16.6804 2.08261i 0.689060 0.0860318i
\(587\) 15.3447 0.633342 0.316671 0.948535i \(-0.397435\pi\)
0.316671 + 0.948535i \(0.397435\pi\)
\(588\) −22.2005 7.20316i −0.915532 0.297053i
\(589\) 13.0527i 0.537827i
\(590\) 0.918405 1.27798i 0.0378101 0.0526138i
\(591\) −8.31016 14.3936i −0.341834 0.592075i
\(592\) 0.554468 20.7192i 0.0227885 0.851552i
\(593\) −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
\(598\) 7.12517 16.8814i 0.291370 0.690333i
\(599\) −19.4999 + 11.2583i −0.796746 + 0.460001i −0.842332 0.538959i \(-0.818818\pi\)
0.0455861 + 0.998960i \(0.485484\pi\)
\(600\) 1.76282 23.5108i 0.0719670 0.959823i
\(601\) 8.10668i 0.330679i −0.986237 0.165339i \(-0.947128\pi\)
0.986237 0.165339i \(-0.0528719\pi\)
\(602\) 33.2700 12.7791i 1.35599 0.520838i
\(603\) 0.722231i 0.0294115i
\(604\) −22.6328 + 22.0352i −0.920916 + 0.896601i
\(605\) 22.6207 + 5.14725i 0.919663 + 0.209265i
\(606\) 22.4442 + 9.47305i 0.911732 + 0.384816i
\(607\) −10.6003 6.12010i −0.430254 0.248407i 0.269201 0.963084i \(-0.413240\pi\)
−0.699455 + 0.714677i \(0.746574\pi\)
\(608\) −1.25007 12.7863i −0.0506969 0.518554i
\(609\) −7.83997 + 7.54329i −0.317692 + 0.305670i
\(610\) 3.69476 37.0012i 0.149597 1.49814i
\(611\) −0.731415 + 1.26685i −0.0295899 + 0.0512512i
\(612\) −1.25185 + 0.317545i −0.0506029 + 0.0128360i
\(613\) 6.93580 + 12.0132i 0.280134 + 0.485207i 0.971418 0.237377i \(-0.0762876\pi\)
−0.691283 + 0.722584i \(0.742954\pi\)
\(614\) 3.21491 + 25.7494i 0.129743 + 1.03916i
\(615\) −10.1464 9.40200i −0.409144 0.379125i
\(616\) −2.47749 + 5.37296i −0.0998208 + 0.216483i
\(617\) 1.91696i 0.0771739i −0.999255 0.0385870i \(-0.987714\pi\)
0.999255 0.0385870i \(-0.0122857\pi\)
\(618\) −46.4614 + 5.80088i −1.86895 + 0.233345i
\(619\) −19.2245 + 11.0993i −0.772699 + 0.446118i −0.833837 0.552011i \(-0.813861\pi\)
0.0611375 + 0.998129i \(0.480527\pi\)
\(620\) −12.2980 + 22.5696i −0.493900 + 0.906418i
\(621\) 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
\(626\) 22.3772 + 9.44480i 0.894374 + 0.377490i
\(627\) 2.59249 1.49678i 0.103534 0.0597755i
\(628\) −13.5010 + 13.1446i −0.538749 + 0.524525i
\(629\) 15.1624 0.604565
\(630\) 0.263111 + 1.82749i 0.0104826 + 0.0728090i
\(631\) 4.47405i 0.178109i 0.996027 + 0.0890545i \(0.0283845\pi\)
−0.996027 + 0.0890545i \(0.971615\pi\)
\(632\) −2.57907 + 16.9538i −0.102590 + 0.674386i
\(633\) −10.9008 18.8807i −0.433268 0.750442i
\(634\) 25.4681 + 10.7494i 1.01147 + 0.426912i
\(635\) 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
\(640\) −9.88552 + 23.2868i −0.390760 + 0.920493i
\(641\) −16.7611 29.0311i −0.662025 1.14666i −0.980083 0.198590i \(-0.936364\pi\)
0.318058 0.948071i \(-0.396969\pi\)
\(642\) 37.7106 4.70831i 1.48832 0.185822i
\(643\) −1.67625 −0.0661048 −0.0330524 0.999454i \(-0.510523\pi\)
−0.0330524 + 0.999454i \(0.510523\pi\)
\(644\) 0.327127 10.0124i 0.0128906 0.394544i
\(645\) 26.0452 + 24.1343i 1.02553 + 0.950288i
\(646\) 9.32594 1.16438i 0.366924 0.0458119i
\(647\) −18.8153 + 10.8630i −0.739707 + 0.427070i −0.821963 0.569541i \(-0.807121\pi\)
0.0822561 + 0.996611i \(0.473787\pi\)
\(648\) −14.6431 + 18.3105i −0.575236 + 0.719304i
\(649\) −0.340761 0.196738i −0.0133760 0.00772265i
\(650\) −36.2567 + 32.0529i −1.42210 + 1.25722i
\(651\) −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 \(-0.777542\pi\)
0.939946 + 0.341324i \(0.110875\pi\)
\(654\) 13.5993 32.2204i 0.531776 1.25992i
\(655\) −7.68575 + 33.7767i −0.300307 + 1.31977i
\(656\) 7.07490 + 13.0482i 0.276228 + 0.509447i
\(657\) 1.40511 0.0548186
\(658\) −0.124944 + 0.789932i −0.00487084 + 0.0307947i
\(659\) 11.6434 0.453562 0.226781 0.973946i \(-0.427180\pi\)
0.226781 + 0.973946i \(0.427180\pi\)
\(660\) −5.89296 + 0.145502i −0.229383 + 0.00566366i
\(661\) −3.07763 5.33061i −0.119706 0.207337i 0.799945 0.600073i \(-0.204862\pi\)
−0.919651 + 0.392736i \(0.871528\pi\)
\(662\) 2.82662 + 1.19304i 0.109860 + 0.0463687i
\(663\) −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
\(668\) 5.17815 + 20.4136i 0.200349 + 0.789826i
\(669\) 5.91351 3.41417i 0.228630 0.131999i
\(670\) −6.03964 + 8.40431i −0.233332 + 0.324687i
\(671\) −9.29720 −0.358914
\(672\) −4.55601 + 24.5318i −0.175752 + 0.946336i
\(673\) 29.9527i 1.15459i −0.816535 0.577296i \(-0.804108\pi\)
0.816535 0.577296i \(-0.195892\pi\)
\(674\) 0.932496 0.116426i 0.0359184 0.00448455i
\(675\) −22.1615 + 15.1526i −0.852996 + 0.583222i
\(676\) 65.5998 16.6402i 2.52307 0.640006i
\(677\) −19.0794 11.0155i −0.733281 0.423360i 0.0863404 0.996266i \(-0.472483\pi\)
−0.819621 + 0.572906i \(0.805816\pi\)
\(678\) −6.15268 8.13035i −0.236292 0.312244i
\(679\) −33.5566 + 8.30142i −1.28779 + 0.318579i
\(680\) −17.2227 6.77338i −0.660460 0.259747i
\(681\) −8.23259 + 14.2593i −0.315474 + 0.546416i
\(682\) 5.92054 + 2.49889i 0.226709 + 0.0956875i
\(683\) −1.35827 + 0.784199i −0.0519728 + 0.0300065i −0.525761 0.850632i \(-0.676219\pi\)
0.473788 + 0.880639i \(0.342886\pi\)
\(684\) −0.718200 + 0.699237i −0.0274611 + 0.0267360i
\(685\) −23.7515 22.0089i −0.907498 0.840916i
\(686\) 19.7076 + 17.2514i 0.752441 + 0.658660i
\(687\) −5.59887 −0.213610
\(688\) −18.1608 33.4939i −0.692374 1.27694i
\(689\) −38.1424 + 22.0215i −1.45311 + 0.838954i
\(690\) 9.09660 4.10682i 0.346302 0.156344i
\(691\) −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
\(696\) 9.08342 + 7.26411i 0.344306 + 0.275345i
\(697\) −9.40347 + 5.42910i −0.356182 + 0.205642i
\(698\) −3.89702 31.2127i −0.147504 1.18142i
\(699\) 33.1291i 1.25306i
\(700\) −12.2206 + 23.4661i −0.461897 + 0.886934i
\(701\) 39.2592i 1.48280i −0.671065 0.741399i \(-0.734163\pi\)
0.671065 0.741399i \(-0.265837\pi\)
\(702\) 51.5674 6.43839i 1.94629 0.243001i
\(703\) 10.1914 5.88402i 0.384377 0.221920i
\(704\) 6.03903 + 1.88088i 0.227605 + 0.0708883i
\(705\) −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 \(-0.280810\pi\)
−0.350956 + 0.936392i \(0.614143\pi\)
\(710\) 5.73631 + 12.7059i 0.215280 + 0.476845i
\(711\) 1.15873 0.668993i 0.0434558 0.0250892i
\(712\) 4.84664 31.8599i 0.181635 1.19400i
\(713\) −10.8807 −0.407484
\(714\) −18.0288 2.85164i −0.674713 0.106720i
\(715\) 8.87505 + 8.22389i 0.331908 + 0.307556i
\(716\) −27.0811 27.8155i −1.01207 1.03951i
\(717\) 9.73798 5.62223i 0.363672 0.209966i
\(718\) −18.0337 + 42.7266i −0.673011 + 1.59454i
\(719\) 1.13078 1.95857i 0.0421709 0.0730422i −0.844170 0.536076i \(-0.819906\pi\)
0.886340 + 0.463034i \(0.153239\pi\)
\(720\) 1.90066 0.532388i 0.0708334 0.0198409i
\(721\) 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
\(724\) 32.5703 8.26183i 1.21046 0.307049i
\(725\) 6.96089 + 10.1807i 0.258521 + 0.378102i
\(726\) −3.03047 24.2722i −0.112471 0.900825i
\(727\) 14.0073i 0.519502i −0.965676 0.259751i \(-0.916359\pi\)
0.965676 0.259751i \(-0.0836406\pi\)
\(728\) 41.8266 29.5551i 1.55020 1.09539i
\(729\) 28.6832 1.06234
\(730\) 16.3507 + 11.7502i 0.605167 + 0.434894i
\(731\) 24.1381 13.9361i 0.892780 0.515447i
\(732\) −38.0040 + 9.64016i −1.40467 + 0.356310i
\(733\) −0.730569 0.421794i −0.0269842 0.0155793i 0.486447 0.873710i \(-0.338293\pi\)
−0.513431 + 0.858131i \(0.671626\pi\)
\(734\) 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
\(738\) 0.450320 1.06693i 0.0165765 0.0392741i
\(739\) −24.2171 41.9452i −0.890840 1.54298i −0.838870 0.544331i \(-0.816784\pi\)
−0.0519693 0.998649i \(-0.516550\pi\)
\(740\) −23.1660 + 0.571987i −0.851598 + 0.0210266i
\(741\) −25.9124 −0.951916
\(742\) −15.1495 + 18.7161i −0.556157 + 0.687089i
\(743\) 23.9932 0.880226 0.440113 0.897942i \(-0.354938\pi\)
0.440113 + 0.897942i \(0.354938\pi\)
\(744\) 26.7923 + 4.07573i 0.982254 + 0.149424i
\(745\) −7.32092 + 32.1734i −0.268218 + 1.17874i
\(746\) −45.8170 19.3381i −1.67748 0.708017i
\(747\) −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
\(750\) −26.3524 0.616729i −0.962254 0.0225198i
\(751\) −15.5172 8.95889i −0.566232 0.326914i 0.189411 0.981898i \(-0.439342\pi\)
−0.755643 + 0.654983i \(0.772676\pi\)
\(752\) 0.854665 + 0.0228718i 0.0311664 + 0.000834049i
\(753\) 22.3116 12.8816i 0.813078 0.469431i
\(754\) −2.95771 23.6894i −0.107714 0.862718i
\(755\) 25.9046 + 24.0040i 0.942766 + 0.873596i
\(756\) 25.0559 13.3948i 0.911276 0.487162i
\(757\) 9.11215 0.331187 0.165593 0.986194i \(-0.447046\pi\)
0.165593 + 0.986194i \(0.447046\pi\)
\(758\) −3.03632 24.3190i −0.110284 0.883307i
\(759\) −1.24770 2.16109i −0.0452888 0.0784425i
\(760\) −14.2048 + 2.13081i −0.515261 + 0.0772928i
\(761\) −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
\(766\) 3.72846 8.83371i 0.134715 0.319175i
\(767\) 1.70298 + 2.94965i 0.0614911 + 0.106506i
\(768\) 26.6359 + 1.42664i 0.961140 + 0.0514793i
\(769\) 11.3063i 0.407716i 0.979000 + 0.203858i \(0.0653481\pi\)
−0.979000 + 0.203858i \(0.934652\pi\)
\(770\) 6.14163 + 2.45738i 0.221329 + 0.0885577i
\(771\) 41.7351 1.50305
\(772\) 3.80638 3.70588i 0.136994 0.133377i
\(773\) −17.9809 + 10.3813i −0.646729 + 0.373389i −0.787202 0.616695i \(-0.788471\pi\)
0.140473 + 0.990085i \(0.455138\pi\)
\(774\) −1.15594 +