Properties

Label 400.2.bl.a.189.45
Level $400$
Weight $2$
Character 400.189
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.bl (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 189.45
Character \(\chi\) \(=\) 400.189
Dual form 400.2.bl.a.309.45

$q$-expansion

\(f(q)\) \(=\) \(q+(0.970204 + 1.02893i) q^{2} +(-0.133943 - 0.262877i) q^{3} +(-0.117407 + 1.99655i) q^{4} +(-0.662410 + 2.13570i) q^{5} +(0.140531 - 0.392863i) q^{6} -0.849930 q^{7} +(-2.16823 + 1.81626i) q^{8} +(1.71219 - 2.35663i) q^{9} +O(q^{10})\) \(q+(0.970204 + 1.02893i) q^{2} +(-0.133943 - 0.262877i) q^{3} +(-0.117407 + 1.99655i) q^{4} +(-0.662410 + 2.13570i) q^{5} +(0.140531 - 0.392863i) q^{6} -0.849930 q^{7} +(-2.16823 + 1.81626i) q^{8} +(1.71219 - 2.35663i) q^{9} +(-2.84017 + 1.39049i) q^{10} +(-0.801667 + 5.06153i) q^{11} +(0.540574 - 0.236560i) q^{12} +(0.623022 - 0.0986770i) q^{13} +(-0.824605 - 0.874521i) q^{14} +(0.650152 - 0.111929i) q^{15} +(-3.97243 - 0.468818i) q^{16} +(-2.00851 + 0.652606i) q^{17} +(4.08599 - 0.524682i) q^{18} +(-2.34605 + 4.60438i) q^{19} +(-4.18626 - 1.57328i) q^{20} +(0.113842 + 0.223427i) q^{21} +(-5.98575 + 4.08585i) q^{22} +(5.46310 - 3.96917i) q^{23} +(0.767871 + 0.326703i) q^{24} +(-4.12242 - 2.82942i) q^{25} +(0.705991 + 0.545311i) q^{26} +(-1.72305 - 0.272904i) q^{27} +(0.0997877 - 1.69693i) q^{28} +(7.06277 - 3.59866i) q^{29} +(0.745947 + 0.560369i) q^{30} +(1.85644 + 5.71352i) q^{31} +(-3.37169 - 4.54222i) q^{32} +(1.43794 - 0.467214i) q^{33} +(-2.62016 - 1.43347i) q^{34} +(0.563002 - 1.81519i) q^{35} +(4.50411 + 3.69516i) q^{36} +(-0.174498 - 1.10174i) q^{37} +(-7.01375 + 2.05326i) q^{38} +(-0.109389 - 0.150561i) q^{39} +(-2.44273 - 5.83379i) q^{40} +(0.885943 - 1.21940i) q^{41} +(-0.119442 + 0.333906i) q^{42} +(2.53336 + 2.53336i) q^{43} +(-10.0115 - 2.19483i) q^{44} +(3.89888 + 5.21778i) q^{45} +(9.38434 + 1.77025i) q^{46} +(9.68456 + 3.14671i) q^{47} +(0.408836 + 1.10706i) q^{48} -6.27762 q^{49} +(-1.08831 - 6.98681i) q^{50} +(0.440581 + 0.440581i) q^{51} +(0.123867 + 1.25548i) q^{52} +(8.36872 - 4.26407i) q^{53} +(-1.39091 - 2.03767i) q^{54} +(-10.2789 - 5.06493i) q^{55} +(1.84284 - 1.54369i) q^{56} +1.52462 q^{57} +(10.5551 + 3.77568i) q^{58} +(4.87785 - 0.772575i) q^{59} +(0.147139 + 1.31120i) q^{60} +(10.7283 + 1.69919i) q^{61} +(-4.07771 + 7.45343i) q^{62} +(-1.45524 + 2.00297i) q^{63} +(1.40241 - 7.87612i) q^{64} +(-0.201952 + 1.39595i) q^{65} +(1.87583 + 1.02625i) q^{66} +(-7.56747 - 3.85582i) q^{67} +(-1.06715 - 4.08672i) q^{68} +(-1.77515 - 0.904483i) q^{69} +(2.41394 - 1.18182i) q^{70} +(-12.0351 - 3.91045i) q^{71} +(0.567829 + 8.21949i) q^{72} +(11.8797 - 8.63114i) q^{73} +(0.964316 - 1.24846i) q^{74} +(-0.191621 + 1.46267i) q^{75} +(-8.91744 - 5.22460i) q^{76} +(0.681361 - 4.30194i) q^{77} +(0.0487877 - 0.258630i) q^{78} +(-0.368588 + 1.13440i) q^{79} +(3.63263 - 8.17337i) q^{80} +(-2.54141 - 7.82165i) q^{81} +(2.11422 - 0.271487i) q^{82} +(-7.38049 - 3.76055i) q^{83} +(-0.459450 + 0.201059i) q^{84} +(-0.0633092 - 4.72188i) q^{85} +(-0.148782 + 5.06454i) q^{86} +(-1.89201 - 1.37463i) q^{87} +(-7.45484 - 12.4306i) q^{88} +(9.69436 + 13.3431i) q^{89} +(-1.58604 + 9.07400i) q^{90} +(-0.529525 + 0.0838685i) q^{91} +(7.28325 + 11.3734i) q^{92} +(1.25330 - 1.25330i) q^{93} +(6.15826 + 13.0177i) q^{94} +(-8.27953 - 8.06045i) q^{95} +(-0.742433 + 1.49474i) q^{96} +(-2.26372 - 0.735526i) q^{97} +(-6.09057 - 6.45925i) q^{98} +(10.5555 + 10.5555i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} + O(q^{10}) \) \( 464q - 10q^{2} - 10q^{3} - 6q^{4} - 8q^{5} - 6q^{6} - 40q^{8} - 2q^{10} - 6q^{11} - 10q^{12} - 10q^{13} - 18q^{14} - 16q^{15} - 6q^{16} - 20q^{17} - 6q^{19} + 6q^{20} - 24q^{21} - 10q^{22} - 16q^{24} - 36q^{26} - 10q^{27} - 50q^{28} - 6q^{29} + 14q^{30} - 36q^{31} - 20q^{33} - 46q^{34} - 36q^{35} + 38q^{36} - 10q^{37} + 60q^{38} - 84q^{40} - 70q^{42} + 36q^{44} - 24q^{45} + 2q^{46} - 20q^{47} - 140q^{48} + 336q^{49} - 46q^{50} - 28q^{51} + 80q^{52} - 10q^{53} - 30q^{54} - 48q^{56} - 10q^{58} - 6q^{59} + 112q^{60} - 6q^{61} - 10q^{62} - 160q^{63} - 24q^{64} - 48q^{65} - 104q^{66} - 70q^{67} + 6q^{69} - 100q^{70} - 10q^{72} + 28q^{74} - 46q^{75} + 44q^{76} - 80q^{77} - 10q^{78} - 52q^{79} - 2q^{80} + 72q^{81} - 10q^{83} + 28q^{84} - 18q^{85} + 34q^{86} + 100q^{88} + 74q^{90} - 48q^{91} + 80q^{92} - 6q^{94} - 40q^{95} + 54q^{96} - 20q^{97} - 100q^{98} - 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{10}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.970204 + 1.02893i 0.686038 + 0.727566i
\(3\) −0.133943 0.262877i −0.0773318 0.151772i 0.849103 0.528227i \(-0.177143\pi\)
−0.926435 + 0.376455i \(0.877143\pi\)
\(4\) −0.117407 + 1.99655i −0.0587035 + 0.998275i
\(5\) −0.662410 + 2.13570i −0.296239 + 0.955114i
\(6\) 0.140531 0.392863i 0.0573717 0.160386i
\(7\) −0.849930 −0.321243 −0.160622 0.987016i \(-0.551350\pi\)
−0.160622 + 0.987016i \(0.551350\pi\)
\(8\) −2.16823 + 1.81626i −0.766584 + 0.642144i
\(9\) 1.71219 2.35663i 0.570731 0.785543i
\(10\) −2.84017 + 1.39049i −0.898139 + 0.439711i
\(11\) −0.801667 + 5.06153i −0.241712 + 1.52611i 0.506262 + 0.862380i \(0.331027\pi\)
−0.747974 + 0.663728i \(0.768973\pi\)
\(12\) 0.540574 0.236560i 0.156050 0.0682889i
\(13\) 0.623022 0.0986770i 0.172795 0.0273681i −0.0694372 0.997586i \(-0.522120\pi\)
0.242232 + 0.970218i \(0.422120\pi\)
\(14\) −0.824605 0.874521i −0.220385 0.233726i
\(15\) 0.650152 0.111929i 0.167869 0.0288999i
\(16\) −3.97243 0.468818i −0.993108 0.117205i
\(17\) −2.00851 + 0.652606i −0.487136 + 0.158280i −0.542279 0.840198i \(-0.682439\pi\)
0.0551430 + 0.998478i \(0.482439\pi\)
\(18\) 4.08599 0.524682i 0.963077 0.123669i
\(19\) −2.34605 + 4.60438i −0.538221 + 1.05632i 0.448483 + 0.893791i \(0.351964\pi\)
−0.986704 + 0.162527i \(0.948036\pi\)
\(20\) −4.18626 1.57328i −0.936076 0.351797i
\(21\) 0.113842 + 0.223427i 0.0248423 + 0.0487558i
\(22\) −5.98575 + 4.08585i −1.27617 + 0.871107i
\(23\) 5.46310 3.96917i 1.13913 0.827630i 0.152136 0.988360i \(-0.451385\pi\)
0.986998 + 0.160730i \(0.0513847\pi\)
\(24\) 0.767871 + 0.326703i 0.156741 + 0.0666880i
\(25\) −4.12242 2.82942i −0.824485 0.565884i
\(26\) 0.705991 + 0.545311i 0.138456 + 0.106944i
\(27\) −1.72305 0.272904i −0.331600 0.0525203i
\(28\) 0.0997877 1.69693i 0.0188581 0.320689i
\(29\) 7.06277 3.59866i 1.31152 0.668255i 0.348408 0.937343i \(-0.386722\pi\)
0.963116 + 0.269088i \(0.0867222\pi\)
\(30\) 0.745947 + 0.560369i 0.136191 + 0.102309i
\(31\) 1.85644 + 5.71352i 0.333426 + 1.02618i 0.967492 + 0.252900i \(0.0813845\pi\)
−0.634067 + 0.773278i \(0.718615\pi\)
\(32\) −3.37169 4.54222i −0.596036 0.802958i
\(33\) 1.43794 0.467214i 0.250313 0.0813316i
\(34\) −2.62016 1.43347i −0.449353 0.245837i
\(35\) 0.563002 1.81519i 0.0951647 0.306824i
\(36\) 4.50411 + 3.69516i 0.750685 + 0.615861i
\(37\) −0.174498 1.10174i −0.0286873 0.181125i 0.969184 0.246338i \(-0.0792273\pi\)
−0.997871 + 0.0652132i \(0.979227\pi\)
\(38\) −7.01375 + 2.05326i −1.13778 + 0.333083i
\(39\) −0.109389 0.150561i −0.0175163 0.0241091i
\(40\) −2.44273 5.83379i −0.386229 0.922403i
\(41\) 0.885943 1.21940i 0.138361 0.190438i −0.734213 0.678919i \(-0.762449\pi\)
0.872575 + 0.488481i \(0.162449\pi\)
\(42\) −0.119442 + 0.333906i −0.0184303 + 0.0515228i
\(43\) 2.53336 + 2.53336i 0.386334 + 0.386334i 0.873378 0.487043i \(-0.161925\pi\)
−0.487043 + 0.873378i \(0.661925\pi\)
\(44\) −10.0115 2.19483i −1.50929 0.330883i
\(45\) 3.89888 + 5.21778i 0.581211 + 0.777821i
\(46\) 9.38434 + 1.77025i 1.38364 + 0.261010i
\(47\) 9.68456 + 3.14671i 1.41264 + 0.458994i 0.913256 0.407387i \(-0.133560\pi\)
0.499383 + 0.866381i \(0.333560\pi\)
\(48\) 0.408836 + 1.10706i 0.0590104 + 0.159790i
\(49\) −6.27762 −0.896803
\(50\) −1.08831 6.98681i −0.153910 0.988085i
\(51\) 0.440581 + 0.440581i 0.0616937 + 0.0616937i
\(52\) 0.123867 + 1.25548i 0.0171772 + 0.174104i
\(53\) 8.36872 4.26407i 1.14953 0.585716i 0.227863 0.973693i \(-0.426826\pi\)
0.921669 + 0.387978i \(0.126826\pi\)
\(54\) −1.39091 2.03767i −0.189278 0.277292i
\(55\) −10.2789 5.06493i −1.38600 0.682955i
\(56\) 1.84284 1.54369i 0.246260 0.206284i
\(57\) 1.52462 0.201941
\(58\) 10.5551 + 3.77568i 1.38595 + 0.495772i
\(59\) 4.87785 0.772575i 0.635042 0.100581i 0.169390 0.985549i \(-0.445820\pi\)
0.465651 + 0.884968i \(0.345820\pi\)
\(60\) 0.147139 + 1.31120i 0.0189955 + 0.169276i
\(61\) 10.7283 + 1.69919i 1.37361 + 0.217559i 0.799229 0.601027i \(-0.205241\pi\)
0.574384 + 0.818586i \(0.305241\pi\)
\(62\) −4.07771 + 7.45343i −0.517870 + 0.946587i
\(63\) −1.45524 + 2.00297i −0.183343 + 0.252350i
\(64\) 1.40241 7.87612i 0.175301 0.984515i
\(65\) −0.201952 + 1.39595i −0.0250491 + 0.173147i
\(66\) 1.87583 + 1.02625i 0.230898 + 0.126322i
\(67\) −7.56747 3.85582i −0.924514 0.471063i −0.0741433 0.997248i \(-0.523622\pi\)
−0.850371 + 0.526184i \(0.823622\pi\)
\(68\) −1.06715 4.08672i −0.129411 0.495588i
\(69\) −1.77515 0.904483i −0.213703 0.108887i
\(70\) 2.41394 1.18182i 0.288521 0.141254i
\(71\) −12.0351 3.91045i −1.42831 0.464085i −0.510075 0.860130i \(-0.670382\pi\)
−0.918231 + 0.396045i \(0.870382\pi\)
\(72\) 0.567829 + 8.21949i 0.0669193 + 0.968676i
\(73\) 11.8797 8.63114i 1.39042 1.01020i 0.394599 0.918853i \(-0.370883\pi\)
0.995819 0.0913448i \(-0.0291166\pi\)
\(74\) 0.964316 1.24846i 0.112099 0.145130i
\(75\) −0.191621 + 1.46267i −0.0221265 + 0.168895i
\(76\) −8.91744 5.22460i −1.02290 0.599302i
\(77\) 0.681361 4.30194i 0.0776482 0.490252i
\(78\) 0.0487877 0.258630i 0.00552412 0.0292840i
\(79\) −0.368588 + 1.13440i −0.0414694 + 0.127630i −0.969648 0.244506i \(-0.921374\pi\)
0.928178 + 0.372135i \(0.121374\pi\)
\(80\) 3.63263 8.17337i 0.406141 0.913810i
\(81\) −2.54141 7.82165i −0.282379 0.869072i
\(82\) 2.11422 0.271487i 0.233477 0.0299807i
\(83\) −7.38049 3.76055i −0.810114 0.412774i −0.000691296 1.00000i \(-0.500220\pi\)
−0.809423 + 0.587226i \(0.800220\pi\)
\(84\) −0.459450 + 0.201059i −0.0501301 + 0.0219373i
\(85\) −0.0633092 4.72188i −0.00686685 0.512159i
\(86\) −0.148782 + 5.06454i −0.0160435 + 0.546124i
\(87\) −1.89201 1.37463i −0.202845 0.147376i
\(88\) −7.45484 12.4306i −0.794689 1.32510i
\(89\) 9.69436 + 13.3431i 1.02760 + 1.41437i 0.906735 + 0.421701i \(0.138567\pi\)
0.120866 + 0.992669i \(0.461433\pi\)
\(90\) −1.58604 + 9.07400i −0.167183 + 0.956484i
\(91\) −0.529525 + 0.0838685i −0.0555093 + 0.00879181i
\(92\) 7.28325 + 11.3734i 0.759331 + 1.18576i
\(93\) 1.25330 1.25330i 0.129961 0.129961i
\(94\) 6.15826 + 13.0177i 0.635176 + 1.34267i
\(95\) −8.27953 8.06045i −0.849462 0.826985i
\(96\) −0.742433 + 1.49474i −0.0757742 + 0.152556i
\(97\) −2.26372 0.735526i −0.229846 0.0746814i 0.191830 0.981428i \(-0.438558\pi\)
−0.421675 + 0.906747i \(0.638558\pi\)
\(98\) −6.09057 6.45925i −0.615241 0.652483i
\(99\) 10.5555 + 10.5555i 1.06087 + 1.06087i
\(100\) 6.13308 7.89844i 0.613308 0.789844i
\(101\) −0.700801 + 0.700801i −0.0697323 + 0.0697323i −0.741113 0.671380i \(-0.765702\pi\)
0.671380 + 0.741113i \(0.265702\pi\)
\(102\) −0.0258748 + 0.880782i −0.00256199 + 0.0872104i
\(103\) 1.07791 3.31745i 0.106209 0.326878i −0.883803 0.467859i \(-0.845026\pi\)
0.990012 + 0.140981i \(0.0450255\pi\)
\(104\) −1.17163 + 1.34552i −0.114888 + 0.131939i
\(105\) −0.552583 + 0.0951315i −0.0539266 + 0.00928388i
\(106\) 12.5068 + 4.47383i 1.21477 + 0.434536i
\(107\) −2.60583 2.60583i −0.251915 0.251915i 0.569840 0.821755i \(-0.307005\pi\)
−0.821755 + 0.569840i \(0.807005\pi\)
\(108\) 0.747163 3.40811i 0.0718958 0.327945i
\(109\) 0.850906 + 5.37241i 0.0815020 + 0.514583i 0.994339 + 0.106258i \(0.0338870\pi\)
−0.912837 + 0.408325i \(0.866113\pi\)
\(110\) −4.76113 15.4903i −0.453956 1.47694i
\(111\) −0.266249 + 0.193441i −0.0252712 + 0.0183606i
\(112\) 3.37629 + 0.398462i 0.319029 + 0.0376512i
\(113\) −1.33149 + 1.83263i −0.125256 + 0.172400i −0.867039 0.498239i \(-0.833980\pi\)
0.741784 + 0.670639i \(0.233980\pi\)
\(114\) 1.47920 + 1.56874i 0.138540 + 0.146926i
\(115\) 4.85815 + 14.2968i 0.453025 + 1.33318i
\(116\) 6.35569 + 14.5237i 0.590111 + 1.34849i
\(117\) 0.834189 1.63719i 0.0771208 0.151358i
\(118\) 5.52744 + 4.26942i 0.508842 + 0.393032i
\(119\) 1.70710 0.554669i 0.156489 0.0508464i
\(120\) −1.20639 + 1.42353i −0.110127 + 0.129950i
\(121\) −14.5148 4.71613i −1.31952 0.428739i
\(122\) 8.66025 + 12.6872i 0.784063 + 1.14865i
\(123\) −0.439217 0.0695652i −0.0396029 0.00627248i
\(124\) −11.6253 + 3.03566i −1.04398 + 0.272610i
\(125\) 8.77353 6.93002i 0.784728 0.619840i
\(126\) −3.47280 + 0.445942i −0.309382 + 0.0397277i
\(127\) 0.124333 + 0.171129i 0.0110327 + 0.0151852i 0.814498 0.580167i \(-0.197013\pi\)
−0.803465 + 0.595352i \(0.797013\pi\)
\(128\) 9.46462 6.19846i 0.836563 0.547871i
\(129\) 0.326638 1.00529i 0.0287589 0.0885108i
\(130\) −1.63228 + 1.14656i −0.143160 + 0.100560i
\(131\) 2.28710 4.48869i 0.199825 0.392179i −0.769249 0.638949i \(-0.779369\pi\)
0.969074 + 0.246771i \(0.0793694\pi\)
\(132\) 0.763993 + 2.92577i 0.0664971 + 0.254656i
\(133\) 1.99398 3.91340i 0.172900 0.339335i
\(134\) −3.37461 11.5274i −0.291522 0.995812i
\(135\) 1.72420 3.49913i 0.148396 0.301157i
\(136\) 3.16961 5.06298i 0.271792 0.434147i
\(137\) −10.7451 7.80674i −0.918012 0.666975i 0.0250166 0.999687i \(-0.492036\pi\)
−0.943028 + 0.332713i \(0.892036\pi\)
\(138\) −0.791603 2.70404i −0.0673858 0.230183i
\(139\) −3.39497 + 21.4350i −0.287957 + 1.81809i 0.242239 + 0.970217i \(0.422118\pi\)
−0.530197 + 0.847875i \(0.677882\pi\)
\(140\) 3.55803 + 1.33718i 0.300708 + 0.113012i
\(141\) −0.469979 2.96733i −0.0395794 0.249894i
\(142\) −7.65294 16.1773i −0.642220 1.35757i
\(143\) 3.23255i 0.270319i
\(144\) −7.90640 + 8.55884i −0.658866 + 0.713237i
\(145\) 3.00721 + 17.4678i 0.249735 + 1.45062i
\(146\) 20.4066 + 3.84949i 1.68887 + 0.318586i
\(147\) 0.840841 + 1.65024i 0.0693514 + 0.136110i
\(148\) 2.22016 0.219043i 0.182496 0.0180052i
\(149\) −2.07054 + 2.07054i −0.169625 + 0.169625i −0.786814 0.617190i \(-0.788271\pi\)
0.617190 + 0.786814i \(0.288271\pi\)
\(150\) −1.69090 + 1.22192i −0.138062 + 0.0997698i
\(151\) 13.2543i 1.07862i 0.842107 + 0.539310i \(0.181315\pi\)
−0.842107 + 0.539310i \(0.818685\pi\)
\(152\) −3.27598 14.2444i −0.265717 1.15537i
\(153\) −1.90101 + 5.85071i −0.153688 + 0.473002i
\(154\) 5.08747 3.47269i 0.409960 0.279837i
\(155\) −13.4321 + 0.180093i −1.07889 + 0.0144654i
\(156\) 0.313446 0.200724i 0.0250958 0.0160708i
\(157\) −8.09159 + 8.09159i −0.645779 + 0.645779i −0.951970 0.306191i \(-0.900945\pi\)
0.306191 + 0.951970i \(0.400945\pi\)
\(158\) −1.52482 + 0.721345i −0.121309 + 0.0573871i
\(159\) −2.24186 1.62880i −0.177791 0.129173i
\(160\) 11.9342 4.19210i 0.943485 0.331415i
\(161\) −4.64325 + 3.37352i −0.365939 + 0.265870i
\(162\) 5.58227 10.2035i 0.438585 0.801666i
\(163\) 1.94697 0.308370i 0.152498 0.0241534i −0.0797184 0.996817i \(-0.525402\pi\)
0.232217 + 0.972664i \(0.425402\pi\)
\(164\) 2.33057 + 1.91200i 0.181987 + 0.149302i
\(165\) 0.0453244 + 3.38049i 0.00352850 + 0.263171i
\(166\) −3.29123 11.2425i −0.255449 0.872590i
\(167\) −2.58611 7.95921i −0.200119 0.615902i −0.999879 0.0155822i \(-0.995040\pi\)
0.799760 0.600320i \(-0.204960\pi\)
\(168\) −0.652636 0.277675i −0.0503520 0.0214231i
\(169\) −11.9853 + 3.89426i −0.921947 + 0.299559i
\(170\) 4.79707 4.64633i 0.367919 0.356357i
\(171\) 6.83394 + 13.4124i 0.522605 + 1.02567i
\(172\) −5.35543 + 4.76056i −0.408347 + 0.362989i
\(173\) 1.51737 9.58030i 0.115364 0.728377i −0.860411 0.509600i \(-0.829793\pi\)
0.975775 0.218777i \(-0.0702066\pi\)
\(174\) −0.421239 3.28043i −0.0319340 0.248688i
\(175\) 3.50377 + 2.40481i 0.264860 + 0.181786i
\(176\) 5.55750 19.7307i 0.418913 1.48726i
\(177\) −0.856444 1.17879i −0.0643743 0.0886036i
\(178\) −4.32369 + 22.9204i −0.324074 + 1.71796i
\(179\) 10.3443 5.27070i 0.773171 0.393950i −0.0224476 0.999748i \(-0.507146\pi\)
0.795619 + 0.605798i \(0.207146\pi\)
\(180\) −10.8753 + 7.17171i −0.810599 + 0.534548i
\(181\) −14.0060 7.13639i −1.04105 0.530444i −0.152064 0.988371i \(-0.548592\pi\)
−0.888990 + 0.457927i \(0.848592\pi\)
\(182\) −0.600043 0.463476i −0.0444781 0.0343552i
\(183\) −0.990294 3.04781i −0.0732046 0.225301i
\(184\) −4.63619 + 18.5285i −0.341784 + 1.36594i
\(185\) 2.46857 + 0.357127i 0.181493 + 0.0262565i
\(186\) 2.50552 + 0.0736048i 0.183713 + 0.00539697i
\(187\) −1.69302 10.6893i −0.123806 0.781681i
\(188\) −7.41959 + 18.9663i −0.541129 + 1.38326i
\(189\) 1.46447 + 0.231949i 0.106524 + 0.0168718i
\(190\) 0.260828 16.3394i 0.0189224 1.18538i
\(191\) 2.48412 + 1.80482i 0.179745 + 0.130592i 0.674019 0.738714i \(-0.264566\pi\)
−0.494275 + 0.869306i \(0.664566\pi\)
\(192\) −2.25830 + 0.686286i −0.162978 + 0.0495285i
\(193\) 19.3206i 1.39072i −0.718659 0.695362i \(-0.755244\pi\)
0.718659 0.695362i \(-0.244756\pi\)
\(194\) −1.43946 3.04282i −0.103347 0.218462i
\(195\) 0.394014 0.133889i 0.0282160 0.00958800i
\(196\) 0.737037 12.5336i 0.0526455 0.895256i
\(197\) −19.3517 + 9.86018i −1.37875 + 0.702509i −0.977000 0.213240i \(-0.931598\pi\)
−0.401751 + 0.915749i \(0.631598\pi\)
\(198\) −0.619915 + 21.1020i −0.0440554 + 1.49965i
\(199\) 11.5086i 0.815826i −0.913021 0.407913i \(-0.866257\pi\)
0.913021 0.407913i \(-0.133743\pi\)
\(200\) 14.0773 1.35257i 0.995416 0.0956410i
\(201\) 2.50578i 0.176744i
\(202\) −1.40100 0.0411573i −0.0985739 0.00289581i
\(203\) −6.00286 + 3.05861i −0.421318 + 0.214672i
\(204\) −0.931370 + 0.827915i −0.0652089 + 0.0579656i
\(205\) 2.01741 + 2.69985i 0.140902 + 0.188566i
\(206\) 4.45922 2.10951i 0.310689 0.146977i
\(207\) 19.6705i 1.36719i
\(208\) −2.52118 + 0.0999035i −0.174812 + 0.00692706i
\(209\) −21.4245 15.5658i −1.48196 1.07671i
\(210\) −0.634003 0.476274i −0.0437503 0.0328661i
\(211\) −16.7345 2.65048i −1.15205 0.182466i −0.448948 0.893558i \(-0.648201\pi\)
−0.703100 + 0.711091i \(0.748201\pi\)
\(212\) 7.53089 + 17.2092i 0.517224 + 1.18193i
\(213\) 0.584048 + 3.68754i 0.0400183 + 0.252666i
\(214\) 0.153037 5.20941i 0.0104614 0.356108i
\(215\) −7.08863 + 3.73238i −0.483441 + 0.254546i
\(216\) 4.23162 2.53778i 0.287925 0.172674i
\(217\) −1.57784 4.85609i −0.107111 0.329653i
\(218\) −4.70230 + 6.08786i −0.318480 + 0.412322i
\(219\) −3.86013 1.96684i −0.260844 0.132906i
\(220\) 11.3192 19.9276i 0.763140 1.34352i
\(221\) −1.18695 + 0.604782i −0.0798430 + 0.0406821i
\(222\) −0.457354 0.0862749i −0.0306956 0.00579040i
\(223\) −12.1322 16.6985i −0.812430 1.11821i −0.990944 0.134277i \(-0.957129\pi\)
0.178514 0.983937i \(-0.442871\pi\)
\(224\) 2.86570 + 3.86056i 0.191472 + 0.257945i
\(225\) −13.7263 + 4.87052i −0.915085 + 0.324701i
\(226\) −3.17747 + 0.408019i −0.211362 + 0.0271410i
\(227\) 0.00768120 0.0484972i 0.000509819 0.00321887i −0.987432 0.158044i \(-0.949481\pi\)
0.987942 + 0.154825i \(0.0494813\pi\)
\(228\) −0.179002 + 3.04399i −0.0118547 + 0.201593i
\(229\) 6.03233 + 11.8391i 0.398628 + 0.782351i 0.999860 0.0167231i \(-0.00532337\pi\)
−0.601232 + 0.799074i \(0.705323\pi\)
\(230\) −9.99701 + 18.8695i −0.659183 + 1.24422i
\(231\) −1.22215 + 0.397099i −0.0804113 + 0.0261272i
\(232\) −8.77759 + 20.6305i −0.576277 + 1.35446i
\(233\) −0.771338 2.37394i −0.0505321 0.155522i 0.922606 0.385743i \(-0.126055\pi\)
−0.973138 + 0.230222i \(0.926055\pi\)
\(234\) 2.49389 0.730082i 0.163031 0.0477269i
\(235\) −13.1356 + 18.5989i −0.856870 + 1.21326i
\(236\) 0.969792 + 9.82958i 0.0631281 + 0.639851i
\(237\) 0.347577 0.0550508i 0.0225775 0.00357593i
\(238\) 2.22695 + 1.21835i 0.144352 + 0.0789736i
\(239\) 18.4774 13.4246i 1.19520 0.868365i 0.201397 0.979510i \(-0.435452\pi\)
0.993804 + 0.111145i \(0.0354517\pi\)
\(240\) −2.63516 + 0.139826i −0.170099 + 0.00902571i
\(241\) 11.3396 + 8.23867i 0.730445 + 0.530699i 0.889704 0.456537i \(-0.150911\pi\)
−0.159259 + 0.987237i \(0.550911\pi\)
\(242\) −9.22970 19.5103i −0.593308 1.25417i
\(243\) −5.41642 + 5.41642i −0.347464 + 0.347464i
\(244\) −4.65209 + 21.2200i −0.297820 + 1.35847i
\(245\) 4.15836 13.4071i 0.265668 0.856549i
\(246\) −0.354552 0.519418i −0.0226054 0.0331169i
\(247\) −1.00730 + 3.10014i −0.0640927 + 0.197257i
\(248\) −14.4024 9.01644i −0.914554 0.572545i
\(249\) 2.44386i 0.154873i
\(250\) 15.6426 + 2.30383i 0.989328 + 0.145707i
\(251\) 5.73256 5.73256i 0.361836 0.361836i −0.502652 0.864489i \(-0.667642\pi\)
0.864489 + 0.502652i \(0.167642\pi\)
\(252\) −3.82818 3.14063i −0.241152 0.197841i
\(253\) 15.7105 + 30.8336i 0.987710 + 1.93849i
\(254\) −0.0554524 + 0.293960i −0.00347939 + 0.0184447i
\(255\) −1.23279 + 0.649103i −0.0772006 + 0.0406484i
\(256\) 15.5604 + 3.72470i 0.972526 + 0.232794i
\(257\) 18.5197i 1.15523i 0.816310 + 0.577614i \(0.196016\pi\)
−0.816310 + 0.577614i \(0.803984\pi\)
\(258\) 1.35128 0.639247i 0.0841271 0.0397978i
\(259\) 0.148311 + 0.936399i 0.00921560 + 0.0581850i
\(260\) −2.76338 0.567102i −0.171378 0.0351702i
\(261\) 3.61211 22.8059i 0.223584 1.41165i
\(262\) 6.83752 2.00167i 0.422423 0.123664i
\(263\) 5.21260 + 3.78717i 0.321422 + 0.233527i 0.736782 0.676130i \(-0.236344\pi\)
−0.415360 + 0.909657i \(0.636344\pi\)
\(264\) −2.26919 + 3.62469i −0.139659 + 0.223084i
\(265\) 3.56326 + 20.6976i 0.218889 + 1.27145i
\(266\) 5.96120 1.74513i 0.365504 0.107001i
\(267\) 2.20912 4.33564i 0.135196 0.265337i
\(268\) 8.58682 14.6561i 0.524523 0.895267i
\(269\) 2.24406 4.40422i 0.136823 0.268530i −0.812421 0.583071i \(-0.801851\pi\)
0.949244 + 0.314541i \(0.101851\pi\)
\(270\) 5.27320 1.62078i 0.320917 0.0986378i
\(271\) −3.25620 + 10.0216i −0.197800 + 0.608767i 0.802132 + 0.597146i \(0.203699\pi\)
−0.999932 + 0.0116202i \(0.996301\pi\)
\(272\) 8.28464 1.65080i 0.502330 0.100095i
\(273\) 0.0929731 + 0.127967i 0.00562699 + 0.00774489i
\(274\) −2.39228 18.6301i −0.144523 1.12548i
\(275\) 17.6260 18.5975i 1.06289 1.12147i
\(276\) 2.01426 3.43798i 0.121244 0.206942i
\(277\) 15.2095 + 2.40894i 0.913848 + 0.144739i 0.595612 0.803272i \(-0.296910\pi\)
0.318236 + 0.948011i \(0.396910\pi\)
\(278\) −25.3490 + 17.3031i −1.52033 + 1.03777i
\(279\) 16.6432 + 5.40771i 0.996404 + 0.323751i
\(280\) 2.07615 + 4.95831i 0.124073 + 0.296316i
\(281\) 20.5567 6.67926i 1.22631 0.398451i 0.376932 0.926241i \(-0.376979\pi\)
0.849375 + 0.527789i \(0.176979\pi\)
\(282\) 2.59721 3.36249i 0.154662 0.200234i
\(283\) −4.42054 + 8.67581i −0.262774 + 0.515723i −0.984265 0.176701i \(-0.943457\pi\)
0.721490 + 0.692424i \(0.243457\pi\)
\(284\) 9.22042 23.5696i 0.547131 1.39860i
\(285\) −1.00993 + 3.25614i −0.0598229 + 0.192877i
\(286\) −3.32608 + 3.13623i −0.196675 + 0.185449i
\(287\) −0.752989 + 1.03640i −0.0444476 + 0.0611768i
\(288\) −16.4773 + 0.168675i −0.970934 + 0.00993924i
\(289\) −10.1451 + 7.37081i −0.596768 + 0.433577i
\(290\) −15.0555 + 20.0415i −0.884092 + 1.17688i
\(291\) 0.109855 + 0.693598i 0.00643982 + 0.0406595i
\(292\) 15.8377 + 24.7319i 0.926834 + 1.44732i
\(293\) 19.3297 + 19.3297i 1.12925 + 1.12925i 0.990299 + 0.138952i \(0.0443733\pi\)
0.138952 + 0.990299i \(0.455627\pi\)
\(294\) −0.882203 + 2.46624i −0.0514511 + 0.143834i
\(295\) −1.58115 + 10.9294i −0.0920580 + 0.636333i
\(296\) 2.37939 + 2.07188i 0.138299 + 0.120426i
\(297\) 2.76262 8.50246i 0.160303 0.493363i
\(298\) −4.13929 0.121600i −0.239782 0.00704411i
\(299\) 3.01197 3.01197i 0.174187 0.174187i
\(300\) −2.89780 0.554310i −0.167305 0.0320031i
\(301\) −2.15318 2.15318i −0.124107 0.124107i
\(302\) −13.6378 + 12.8594i −0.784767 + 0.739975i
\(303\) 0.278092 + 0.0903576i 0.0159760 + 0.00519091i
\(304\) 11.4781 17.1907i 0.658317 0.985956i
\(305\) −10.7355 + 21.7868i −0.614711 + 1.24751i
\(306\) −7.86436 + 3.72037i −0.449576 + 0.212679i
\(307\) −1.69985 + 1.69985i −0.0970155 + 0.0970155i −0.753949 0.656933i \(-0.771853\pi\)
0.656933 + 0.753949i \(0.271853\pi\)
\(308\) 8.50905 + 1.86545i 0.484848 + 0.106294i
\(309\) −1.01646 + 0.160991i −0.0578244 + 0.00915848i
\(310\) −13.2172 13.6460i −0.750685 0.775040i
\(311\) −12.6340 17.3892i −0.716407 0.986049i −0.999636 0.0269968i \(-0.991406\pi\)
0.283229 0.959052i \(-0.408594\pi\)
\(312\) 0.510639 + 0.127772i 0.0289092 + 0.00723366i
\(313\) −23.3766 16.9841i −1.32132 0.959999i −0.999915 0.0130584i \(-0.995843\pi\)
−0.321410 0.946940i \(-0.604157\pi\)
\(314\) −16.1762 0.475209i −0.912875 0.0268176i
\(315\) −3.31377 4.43475i −0.186710 0.249870i
\(316\) −2.22161 0.869091i −0.124975 0.0488902i
\(317\) −27.0232 13.7690i −1.51778 0.773345i −0.520998 0.853558i \(-0.674440\pi\)
−0.996778 + 0.0802123i \(0.974440\pi\)
\(318\) −0.499128 3.88699i −0.0279897 0.217972i
\(319\) 12.5527 + 38.6333i 0.702818 + 2.16305i
\(320\) 15.8921 + 8.21235i 0.888393 + 0.459084i
\(321\) −0.335982 + 1.03404i −0.0187527 + 0.0577147i
\(322\) −7.97603 1.50459i −0.444487 0.0838476i
\(323\) 1.70723 10.7790i 0.0949927 0.599761i
\(324\) 15.9147 4.15573i 0.884150 0.230874i
\(325\) −2.84756 1.35600i −0.157954 0.0752175i
\(326\) 2.20625 + 1.70412i 0.122193 + 0.0943825i
\(327\) 1.29831 0.943279i 0.0717968 0.0521634i
\(328\) 0.293813 + 4.25303i 0.0162231 + 0.234834i
\(329\) −8.23120 2.67448i −0.453801 0.147449i
\(330\) −3.43433 + 3.32640i −0.189053 + 0.183112i
\(331\) −2.56321 1.30602i −0.140887 0.0717854i 0.382126 0.924110i \(-0.375192\pi\)
−0.523013 + 0.852325i \(0.675192\pi\)
\(332\) 8.37465 14.2940i 0.459619 0.784486i
\(333\) −2.89516 1.47516i −0.158654 0.0808382i
\(334\) 5.68045 10.3830i 0.310820 0.568132i
\(335\) 13.2476 13.6077i 0.723796 0.743469i
\(336\) −0.347482 0.940920i −0.0189567 0.0513314i
\(337\) 3.09072 4.25401i 0.168362 0.231731i −0.716496 0.697591i \(-0.754255\pi\)
0.884858 + 0.465861i \(0.154255\pi\)
\(338\) −15.6351 8.55386i −0.850440 0.465268i
\(339\) 0.660101 + 0.104550i 0.0358517 + 0.00567836i
\(340\) 9.43490 + 0.427981i 0.511679 + 0.0232105i
\(341\) −30.4074 + 4.81606i −1.64665 + 0.260804i
\(342\) −7.17011 + 20.0444i −0.387715 + 1.08388i
\(343\) 11.2850 0.609335
\(344\) −10.0942 0.891663i −0.544240 0.0480752i
\(345\) 3.10758 3.19204i 0.167306 0.171854i
\(346\) 11.3296 7.73357i 0.609085 0.415760i
\(347\) 31.2511 15.9232i 1.67765 0.854804i 0.685740 0.727847i \(-0.259479\pi\)
0.991908 0.126958i \(-0.0405212\pi\)
\(348\) 2.96665 3.61611i 0.159029 0.193844i
\(349\) 3.10061 + 3.10061i 0.165972 + 0.165972i 0.785206 0.619234i \(-0.212557\pi\)
−0.619234 + 0.785206i \(0.712557\pi\)
\(350\) 0.924988 + 5.93830i 0.0494427 + 0.317416i
\(351\) −1.10043 −0.0587363
\(352\) 25.6935 13.4245i 1.36947 0.715530i
\(353\) 16.7191 + 5.43236i 0.889867 + 0.289135i 0.718048 0.695993i \(-0.245036\pi\)
0.171819 + 0.985129i \(0.445036\pi\)
\(354\) 0.381975 2.02490i 0.0203017 0.107622i
\(355\) 16.3237 23.1131i 0.866374 1.22671i
\(356\) −27.7785 + 17.7887i −1.47225 + 0.942800i
\(357\) −0.374463 0.374463i −0.0198187 0.0198187i
\(358\) 15.4593 + 5.52997i 0.817050 + 0.292268i
\(359\) 9.88747 13.6089i 0.521841 0.718252i −0.464019 0.885825i \(-0.653593\pi\)
0.985860 + 0.167573i \(0.0535930\pi\)
\(360\) −17.9305 4.23196i −0.945020 0.223044i
\(361\) −4.52848 6.23292i −0.238341 0.328048i
\(362\) −6.24577 21.3349i −0.328270 1.12134i
\(363\) 0.704382 + 4.44729i 0.0369705 + 0.233422i
\(364\) −0.105278 1.06707i −0.00551806 0.0559297i
\(365\) 10.5643 + 31.0889i 0.552958 + 1.62727i
\(366\) 2.17521 3.97595i 0.113700 0.207826i
\(367\) 23.7071 7.70292i 1.23750 0.402089i 0.384076 0.923302i \(-0.374520\pi\)
0.853427 + 0.521213i \(0.174520\pi\)
\(368\) −23.5626 + 13.2061i −1.22829 + 0.688414i
\(369\) −1.35676 4.17568i −0.0706301 0.217377i
\(370\) 2.02756 + 2.88648i 0.105408 + 0.150061i
\(371\) −7.11282 + 3.62416i −0.369279 + 0.188157i
\(372\) 2.35513 + 2.64942i 0.122108 + 0.137366i
\(373\) 11.1087 + 1.75945i 0.575189 + 0.0911010i 0.437250 0.899340i \(-0.355952\pi\)
0.137938 + 0.990441i \(0.455952\pi\)
\(374\) 9.35602 12.1128i 0.483788 0.626340i
\(375\) −2.99690 1.37813i −0.154759 0.0711666i
\(376\) −26.7136 + 10.7669i −1.37765 + 0.555260i
\(377\) 4.04516 2.93898i 0.208336 0.151365i
\(378\) 1.18217 + 1.73188i 0.0608044 + 0.0890781i
\(379\) 3.41436 + 6.70105i 0.175384 + 0.344210i 0.961919 0.273336i \(-0.0881271\pi\)
−0.786535 + 0.617546i \(0.788127\pi\)
\(380\) 17.0652 15.5842i 0.875425 0.799450i
\(381\) 0.0283325 0.0556057i 0.00145152 0.00284877i
\(382\) 0.553066 + 4.30704i 0.0282973 + 0.220367i
\(383\) −18.1786 + 5.90659i −0.928883 + 0.301812i −0.734106 0.679035i \(-0.762398\pi\)
−0.194777 + 0.980847i \(0.562398\pi\)
\(384\) −2.89715 1.65780i −0.147845 0.0845991i
\(385\) 8.73631 + 4.30483i 0.445244 + 0.219395i
\(386\) 19.8796 18.7449i 1.01184 0.954090i
\(387\) 10.3078 1.63260i 0.523975 0.0829895i
\(388\) 1.73429 4.43327i 0.0880454 0.225065i
\(389\) 3.25042 20.5224i 0.164803 1.04053i −0.757155 0.653235i \(-0.773411\pi\)
0.921958 0.387290i \(-0.126589\pi\)
\(390\) 0.520037 + 0.275515i 0.0263331 + 0.0139512i
\(391\) −8.38240 + 11.5374i −0.423916 + 0.583471i
\(392\) 13.6113 11.4018i 0.687474 0.575877i
\(393\) −1.48632 −0.0749747
\(394\) −28.9206 10.3452i −1.45700 0.521184i
\(395\) −2.17858 1.53863i −0.109616 0.0774169i
\(396\) −22.3140 + 19.8354i −1.12132 + 0.996765i
\(397\) −0.336689 0.660790i −0.0168979 0.0331641i 0.882403 0.470494i \(-0.155924\pi\)
−0.899301 + 0.437330i \(0.855924\pi\)
\(398\) 11.8416 11.1657i 0.593567 0.559688i
\(399\) −1.29582 −0.0648723
\(400\) 15.0496 + 13.1723i 0.752478 + 0.658617i
\(401\) 33.9888 1.69732 0.848660 0.528939i \(-0.177410\pi\)
0.848660 + 0.528939i \(0.177410\pi\)
\(402\) −2.57828 + 2.43111i −0.128593 + 0.121253i
\(403\) 1.72039 + 3.37646i 0.0856990 + 0.168194i
\(404\) −1.31691 1.48146i −0.0655186 0.0737056i
\(405\) 18.3882 0.246542i 0.913715 0.0122508i
\(406\) −8.97111 3.20907i −0.445229 0.159263i
\(407\) 5.71636 0.283350
\(408\) −1.75549 0.155070i −0.0869096 0.00767713i
\(409\) 16.0546 22.0973i 0.793851 1.09264i −0.199767 0.979843i \(-0.564018\pi\)
0.993618 0.112799i \(-0.0359816\pi\)
\(410\) −0.820668 + 4.69518i −0.0405299 + 0.231878i
\(411\) −0.612993 + 3.87029i −0.0302367 + 0.190907i
\(412\) 6.49691 + 2.54158i 0.320080 + 0.125215i
\(413\) −4.14583 + 0.656635i −0.204003 + 0.0323109i
\(414\) 20.2396 19.0844i 0.994723 0.937947i
\(415\) 12.9203 13.2715i 0.634234 0.651472i
\(416\) −2.54885 2.49719i −0.124968 0.122435i
\(417\) 6.08950 1.97860i 0.298204 0.0968924i
\(418\) −4.76996 37.1463i −0.233306 1.81689i
\(419\) −6.48085 + 12.7194i −0.316610 + 0.621382i −0.993388 0.114805i \(-0.963376\pi\)
0.676778 + 0.736187i \(0.263376\pi\)
\(420\) −0.125058 1.11443i −0.00610219 0.0543786i
\(421\) −11.4120 22.3973i −0.556186 1.09158i −0.982371 0.186940i \(-0.940143\pi\)
0.426186 0.904636i \(-0.359857\pi\)
\(422\) −13.5087 19.7901i −0.657592 0.963369i
\(423\) 23.9975 17.4352i 1.16680 0.847727i
\(424\) −10.4006 + 24.4452i −0.505098 + 1.18717i
\(425\) 10.1264 + 2.99261i 0.491205 + 0.145163i
\(426\) −3.22758 + 4.17861i −0.156377 + 0.202454i
\(427\) −9.11827 1.44419i −0.441264 0.0698893i
\(428\) 5.50861 4.89673i 0.266269 0.236692i
\(429\) 0.849764 0.432976i 0.0410270 0.0209043i
\(430\) −10.7178 3.67256i −0.516858 0.177107i
\(431\) −3.52127 10.8373i −0.169613 0.522016i 0.829733 0.558160i \(-0.188493\pi\)
−0.999347 + 0.0361438i \(0.988493\pi\)
\(432\) 6.71674 + 1.89189i 0.323159 + 0.0910234i
\(433\) 14.7764 4.80116i 0.710110 0.230729i 0.0683801 0.997659i \(-0.478217\pi\)
0.641730 + 0.766931i \(0.278217\pi\)
\(434\) 3.46577 6.33489i 0.166362 0.304085i
\(435\) 4.18908 3.13020i 0.200851 0.150082i
\(436\) −10.8262 + 1.06812i −0.518480 + 0.0511536i
\(437\) 5.45889 + 34.4661i 0.261134 + 1.64874i
\(438\) −1.72138 5.88005i −0.0822505 0.280960i
\(439\) −16.8972 23.2570i −0.806461 1.11000i −0.991860 0.127335i \(-0.959358\pi\)
0.185399 0.982663i \(-0.440642\pi\)
\(440\) 31.4861 7.68717i 1.50104 0.366471i
\(441\) −10.7485 + 14.7940i −0.511833 + 0.704477i
\(442\) −1.77387 0.634532i −0.0843742 0.0301816i
\(443\) −15.2759 15.2759i −0.725778 0.725778i 0.243998 0.969776i \(-0.421541\pi\)
−0.969776 + 0.243998i \(0.921541\pi\)
\(444\) −0.354956 0.554291i −0.0168455 0.0263055i
\(445\) −34.9186 + 11.8656i −1.65530 + 0.562484i
\(446\) 5.41096 28.6842i 0.256216 1.35823i
\(447\) 0.821630 + 0.266964i 0.0388618 + 0.0126270i
\(448\) −1.19195 + 6.69415i −0.0563144 + 0.316269i
\(449\) −28.0221 −1.32245 −0.661223 0.750190i \(-0.729962\pi\)
−0.661223 + 0.750190i \(0.729962\pi\)
\(450\) −18.3287 9.39802i −0.864025 0.443027i
\(451\) 5.46177 + 5.46177i 0.257185 + 0.257185i
\(452\) −3.50262 2.87354i −0.164749 0.135160i
\(453\) 3.48426 1.77532i 0.163705 0.0834117i
\(454\) 0.0573527 0.0391488i 0.00269170 0.00183734i
\(455\) 0.171645 1.18646i 0.00804684 0.0556222i
\(456\) −3.30573 + 2.76911i −0.154805 + 0.129676i
\(457\) 1.52169 0.0711816 0.0355908 0.999366i \(-0.488669\pi\)
0.0355908 + 0.999366i \(0.488669\pi\)
\(458\) −6.32907 + 17.6932i −0.295738 + 0.826751i
\(459\) 3.63886 0.576339i 0.169847 0.0269012i
\(460\) −29.1146 + 8.02100i −1.35747 + 0.373981i
\(461\) −10.0472 1.59132i −0.467944 0.0741151i −0.0819903 0.996633i \(-0.526128\pi\)
−0.385954 + 0.922518i \(0.626128\pi\)
\(462\) −1.59432 0.872239i −0.0741745 0.0405802i
\(463\) 5.89235 8.11012i 0.273841 0.376909i −0.649841 0.760070i \(-0.725165\pi\)
0.923682 + 0.383161i \(0.125165\pi\)
\(464\) −29.7435 + 10.9843i −1.38081 + 0.509933i
\(465\) 1.84647 + 3.50687i 0.0856281 + 0.162627i
\(466\) 1.69427 3.09686i 0.0784853 0.143459i
\(467\) 3.58684 + 1.82759i 0.165979 + 0.0845707i 0.535007 0.844848i \(-0.320309\pi\)
−0.369027 + 0.929419i \(0.620309\pi\)
\(468\) 3.17079 + 1.85772i 0.146570 + 0.0858730i
\(469\) 6.43182 + 3.27718i 0.296994 + 0.151326i
\(470\) −31.8812 + 4.52911i −1.47057 + 0.208912i
\(471\) 3.21090 + 1.04329i 0.147951 + 0.0480721i
\(472\) −9.17308 + 10.5346i −0.422225 + 0.484892i
\(473\) −14.8536 + 10.7918i −0.682970 + 0.496206i
\(474\) 0.393864 + 0.304223i 0.0180908 + 0.0139734i
\(475\) 22.6992 12.3433i 1.04151 0.566348i
\(476\) 0.907000 + 3.47343i 0.0415723 + 0.159204i
\(477\) 4.28000 27.0229i 0.195968 1.23729i
\(478\) 31.7398 + 5.98738i 1.45175 + 0.273856i
\(479\) 4.91326 15.1215i 0.224493 0.690917i −0.773850 0.633369i \(-0.781672\pi\)
0.998343 0.0575485i \(-0.0183284\pi\)
\(480\) −2.70051 2.57574i −0.123261 0.117566i
\(481\) −0.217432 0.669188i −0.00991407 0.0305124i
\(482\) 2.52465 + 19.6608i 0.114994 + 0.895527i
\(483\) 1.50875 + 0.768747i 0.0686505 + 0.0349792i
\(484\) 11.1201 28.4258i 0.505461 1.29208i
\(485\) 3.07037 4.34740i 0.139418 0.197405i
\(486\) −10.8282 0.318100i −0.491176 0.0144293i
\(487\) 35.3343 + 25.6719i 1.60115 + 1.16331i 0.885263 + 0.465091i \(0.153978\pi\)
0.715889 + 0.698214i \(0.246022\pi\)
\(488\) −26.3475 + 15.8011i −1.19269 + 0.715281i
\(489\) −0.341846 0.470510i −0.0154588 0.0212772i
\(490\) 17.8295 8.72896i 0.805454 0.394334i
\(491\) 28.5656 4.52435i 1.28915 0.204181i 0.526044 0.850457i \(-0.323675\pi\)
0.763103 + 0.646276i \(0.223675\pi\)
\(492\) 0.190458 0.868752i 0.00858649 0.0391664i
\(493\) −11.8372 + 11.8372i −0.533119 + 0.533119i
\(494\) −4.16711 + 1.97133i −0.187487 + 0.0886941i
\(495\) −29.5356 + 15.5514i −1.32752 + 0.698982i
\(496\) −4.69596 23.5669i −0.210855 1.05819i
\(497\) 10.2290 + 3.32361i 0.458834 + 0.149084i
\(498\) −2.51457 + 2.37105i −0.112681 + 0.106249i
\(499\) 14.2206 + 14.2206i 0.636603 + 0.636603i 0.949716 0.313113i \(-0.101372\pi\)
−0.313113 + 0.949716i \(0.601372\pi\)
\(500\) 12.8061 + 18.3304i 0.572705 + 0.819762i
\(501\) −1.74591 + 1.74591i −0.0780014 + 0.0780014i
\(502\) 11.4602 + 0.336667i 0.511493 + 0.0150262i
\(503\) −5.15297 + 15.8592i −0.229759 + 0.707127i 0.768014 + 0.640433i \(0.221245\pi\)
−0.997773 + 0.0666937i \(0.978755\pi\)
\(504\) −0.482615 6.98599i −0.0214974 0.311181i
\(505\) −1.03248 1.96092i −0.0459449 0.0872598i
\(506\) −16.4833 + 46.0799i −0.732772 + 2.04850i
\(507\) 2.62906 + 2.62906i 0.116761 + 0.116761i
\(508\) −0.356265 + 0.228144i −0.0158067 + 0.0101223i
\(509\) −0.475948 3.00502i −0.0210960 0.133195i 0.974893 0.222676i \(-0.0714792\pi\)
−0.995989 + 0.0894809i \(0.971479\pi\)
\(510\) −1.86395 0.638700i −0.0825369 0.0282821i
\(511\) −10.0969 + 7.33586i −0.446662 + 0.324519i
\(512\) 11.2643 + 19.6243i 0.497817 + 0.867282i
\(513\) 5.29890 7.29332i 0.233952 0.322008i
\(514\) −19.0556 + 17.9679i −0.840504 + 0.792530i
\(515\) 6.37106 + 4.49960i 0.280743 + 0.198276i
\(516\) 1.96876 + 0.770178i 0.0866699 + 0.0339052i
\(517\) −23.6909 + 46.4961i −1.04193 + 2.04489i
\(518\) −0.819600 + 1.06110i −0.0360112 + 0.0466221i
\(519\) −2.72168 + 0.884328i −0.119469 + 0.0388177i
\(520\) −2.09753 3.39354i −0.0919830 0.148817i
\(521\) 0.303078 + 0.0984761i 0.0132781 + 0.00431432i 0.315649 0.948876i \(-0.397778\pi\)
−0.302370 + 0.953191i \(0.597778\pi\)
\(522\) 26.9703 18.4098i 1.18046 0.805775i
\(523\) −7.05065 1.11671i −0.308304 0.0488305i 0.000365661 1.00000i \(-0.499884\pi\)
−0.308669 + 0.951169i \(0.599884\pi\)
\(524\) 8.69338 + 5.09332i 0.379772 + 0.222503i
\(525\) 0.162865 1.24317i 0.00710800 0.0542563i
\(526\) 1.16054 + 9.03775i 0.0506018 + 0.394064i
\(527\) −7.45736 10.2642i −0.324848 0.447114i
\(528\) −5.93115 + 1.18185i −0.258120 + 0.0514332i
\(529\) 6.98372 21.4937i 0.303640 0.934507i
\(530\) −17.8394 + 23.7473i −0.774894 + 1.03152i
\(531\) 6.53114 12.8181i 0.283427 0.556257i
\(532\) 7.57920 + 4.44054i 0.328600 + 0.192522i
\(533\) 0.431636 0.847133i 0.0186962 0.0366934i
\(534\) 6.60439 1.93342i 0.285800 0.0836674i
\(535\) 7.29139 3.83914i 0.315234 0.165980i
\(536\) 23.4112 5.38420i 1.01121 0.232562i
\(537\) −2.77109 2.01332i −0.119581 0.0868810i
\(538\) 6.70885 1.96400i 0.289239 0.0846742i
\(539\) 5.03256 31.7743i 0.216768 1.36862i
\(540\) 6.78376 + 3.85328i 0.291927 + 0.165819i
\(541\) −5.08952 32.1340i −0.218816 1.38155i −0.815354 0.578963i \(-0.803458\pi\)
0.596538 0.802585i \(-0.296542\pi\)
\(542\) −13.4707 + 6.37255i −0.578616 + 0.273724i
\(543\) 4.63771i 0.199023i
\(544\) 9.73636 + 6.92272i 0.417443 + 0.296809i
\(545\) −12.0375 1.74146i −0.515630 0.0745959i
\(546\) −0.0414661 + 0.219817i −0.00177458 + 0.00940729i
\(547\) −17.7590 34.8539i −0.759318 1.49025i −0.868213 0.496192i \(-0.834731\pi\)
0.108895 0.994053i \(-0.465269\pi\)
\(548\) 16.8481 20.5365i 0.719715 0.877275i
\(549\) 22.3732 22.3732i 0.954865 0.954865i
\(550\) 36.2364 + 0.0925825i 1.54513 + 0.00394773i
\(551\) 40.9624i 1.74506i
\(552\) 5.49170 1.26300i 0.233742 0.0537570i
\(553\) 0.313274 0.964158i 0.0133218 0.0410002i
\(554\) 12.2777 + 17.9867i 0.521627 + 0.764181i
\(555\) −0.236766 0.696766i −0.0100502 0.0295761i
\(556\) −42.3974 9.29484i −1.79805 0.394189i
\(557\) −11.0664 + 11.0664i −0.468898 + 0.468898i −0.901558 0.432659i \(-0.857575\pi\)
0.432659 + 0.901558i \(0.357575\pi\)
\(558\) 10.5832 + 22.3714i 0.448021 + 0.947055i
\(559\) 1.82833 + 1.32836i 0.0773300 + 0.0561835i
\(560\) −3.08748 + 6.94679i −0.130470 + 0.293555i
\(561\) −2.58321 + 1.87681i −0.109063 + 0.0792391i
\(562\) 26.8167 + 14.6712i 1.13119 + 0.618866i
\(563\) −43.1164 + 6.82896i −1.81714 + 0.287806i −0.969917 0.243434i \(-0.921726\pi\)
−0.847221 + 0.531241i \(0.821726\pi\)
\(564\) 5.97960 0.589951i 0.251787 0.0248414i
\(565\) −3.03196 4.05761i −0.127556 0.170705i
\(566\) −13.2157 + 3.86886i −0.555496 + 0.162620i
\(567\) 2.16002 + 6.64785i 0.0907122 + 0.279184i
\(568\) 33.1972 13.3802i 1.39293 0.561419i
\(569\) −3.49360 + 1.13514i −0.146459 + 0.0475875i −0.381329 0.924439i \(-0.624534\pi\)
0.234870 + 0.972027i \(0.424534\pi\)
\(570\) −4.33019 + 2.11997i −0.181372 + 0.0887959i
\(571\) 2.56526 + 5.03461i 0.107353 + 0.210692i 0.938433 0.345460i \(-0.112277\pi\)
−0.831080 + 0.556152i \(0.812277\pi\)
\(572\) −6.45395 0.379524i −0.269853 0.0158687i
\(573\) 0.141716 0.894761i 0.00592028 0.0373792i
\(574\) −1.79694 + 0.230745i −0.0750029 + 0.00963111i
\(575\) −33.7517 + 0.905224i −1.40754 + 0.0377504i
\(576\) −16.1599 16.7904i −0.673329 0.699600i
\(577\) 22.0507 + 30.3502i 0.917983 + 1.26350i 0.964366 + 0.264572i \(0.0852305\pi\)
−0.0463830 + 0.998924i \(0.514769\pi\)
\(578\) −17.4269 3.28739i −0.724861 0.136737i
\(579\) −5.07894 + 2.58785i −0.211073 + 0.107547i
\(580\) −35.2283 + 3.95321i −1.46278 + 0.164148i
\(581\) 6.27290 + 3.19620i 0.260244 + 0.132601i
\(582\) −0.607084 + 0.785966i −0.0251645 + 0.0325793i
\(583\) 14.8738 + 45.7768i 0.616010 + 1.89588i
\(584\) −10.0816 + 40.2909i −0.417179 + 1.66725i
\(585\) 2.94396 + 2.86607i 0.121718 + 0.118497i
\(586\) −1.13521 + 38.6427i −0.0468950 + 1.59631i
\(587\) 1.30980 + 8.26973i 0.0540611 + 0.341328i 0.999862 + 0.0165828i \(0.00527871\pi\)
−0.945801 + 0.324746i \(0.894721\pi\)
\(588\) −3.39352 + 1.48503i −0.139946 + 0.0612417i
\(589\) −30.6625 4.85647i −1.26343 0.200107i
\(590\) −12.7796 + 8.97684i −0.526129 + 0.369570i
\(591\) 5.18403 + 3.76642i 0.213243 + 0.154930i
\(592\) 0.176667 + 4.45839i 0.00726097 + 0.183238i
\(593\) 6.09147i 0.250147i −0.992147 0.125073i \(-0.960083\pi\)
0.992147 0.125073i \(-0.0399166\pi\)
\(594\) 11.4288 5.40658i 0.468928 0.221835i
\(595\) 0.0538084 + 4.01326i 0.00220593 + 0.164528i
\(596\) −3.89083 4.37703i −0.159375 0.179290i
\(597\) −3.02536 + 1.54150i −0.123820 + 0.0630893i
\(598\) 6.02133 + 0.176889i 0.246231 + 0.00723354i
\(599\) 16.8212i 0.687296i −0.939099 0.343648i \(-0.888337\pi\)
0.939099 0.343648i \(-0.111663\pi\)
\(600\) −2.24111 3.51944i −0.0914930 0.143680i
\(601\) 3.42398i 0.139667i 0.997559 + 0.0698336i \(0.0222468\pi\)
−0.997559 + 0.0698336i \(0.977753\pi\)
\(602\) 0.126454 4.30451i 0.00515387 0.175439i
\(603\) −22.0437 + 11.2318i −0.897689 + 0.457395i
\(604\) −26.4629 1.55615i −1.07676 0.0633188i
\(605\) 19.6870 27.8752i 0.800389 1.13329i
\(606\) 0.176834 + 0.373803i 0.00718340 + 0.0151847i
\(607\) 14.0716i 0.571149i 0.958356 + 0.285575i \(0.0921844\pi\)
−0.958356 + 0.285575i \(0.907816\pi\)
\(608\) 28.8243 4.86827i 1.16898 0.197435i
\(609\) 1.60808 + 1.16834i 0.0651626 + 0.0473434i
\(610\) −32.8327 + 10.0915i −1.32936 + 0.408595i
\(611\) 6.34421 + 1.00482i 0.256659 + 0.0406508i
\(612\) −11.4581 4.48238i −0.463164 0.181189i
\(613\) −1.24173 7.83995i −0.0501528 0.316652i −0.999992 0.00391469i \(-0.998754\pi\)
0.949840 0.312738i \(-0.101246\pi\)
\(614\) −3.39823 0.0998301i −0.137141 0.00402882i
\(615\) 0.439512 0.891955i 0.0177228 0.0359671i
\(616\) 6.33609 + 10.5651i 0.255288 + 0.425680i
\(617\) 14.9271 + 45.9408i 0.600942 + 1.84951i 0.522593 + 0.852582i \(0.324965\pi\)
0.0783484 + 0.996926i \(0.475035\pi\)
\(618\) −1.15182 0.889675i −0.0463331 0.0357880i
\(619\) −8.39025 4.27505i −0.337233 0.171829i 0.277171 0.960821i \(-0.410603\pi\)
−0.614403 + 0.788992i \(0.710603\pi\)
\(620\) 1.21746 26.8390i 0.0488943 1.07788i
\(621\) −10.4964 + 5.34817i −0.421205 + 0.214615i
\(622\) 5.63476 29.8706i 0.225933 1.19770i
\(623\) −8.23952 11.3407i −0.330110 0.454357i
\(624\) 0.363955 + 0.649378i 0.0145699 + 0.0259959i
\(625\) 8.98877 + 23.3281i 0.359551 + 0.933125i
\(626\) −5.20459 40.5310i −0.208017 1.61995i
\(627\) −1.22224 + 7.71693i −0.0488116 + 0.308184i
\(628\) −15.2053 17.1053i −0.606756 0.682575i
\(629\) 1.06948 + 2.09898i 0.0426431 + 0.0836917i
\(630\) 1.34802 7.71226i 0.0537065 0.307264i
\(631\) −6.61796 + 2.15030i −0.263457 + 0.0856023i −0.437767 0.899089i \(-0.644230\pi\)
0.174310 + 0.984691i \(0.444230\pi\)
\(632\) −1.26118 3.12908i −0.0501669 0.124468i
\(633\) 1.54471 + 4.75412i 0.0613966 + 0.188959i
\(634\) −12.0507 41.1639i −0.478593 1.63483i
\(635\) −0.447839 + 0.152179i −0.0177720 + 0.00603905i
\(636\) 3.51520 4.28475i 0.139387 0.169901i
\(637\) −3.91110 + 0.619457i −0.154963 + 0.0245438i
\(638\) −27.5724 + 50.3982i −1.09160 + 1.99528i
\(639\) −29.8219 + 21.6669i −1.17974 + 0.857129i
\(640\) 6.96858 + 24.3195i 0.275457 + 0.961313i
\(641\) −13.2009 9.59103i −0.521405 0.378823i 0.295728 0.955272i \(-0.404438\pi\)
−0.817133 + 0.576449i \(0.804438\pi\)
\(642\) −1.38993 + 0.657532i −0.0548563 + 0.0259507i
\(643\) −23.0659 + 23.0659i −0.909630 + 0.909630i −0.996242 0.0866117i \(-0.972396\pi\)
0.0866117 + 0.996242i \(0.472396\pi\)
\(644\) −6.19025 9.66656i −0.243930 0.380916i
\(645\) 1.93063 + 1.36352i 0.0760184 + 0.0536884i
\(646\) 12.7472 8.70123i 0.501534 0.342345i
\(647\) −9.62266 + 29.6155i −0.378306 + 1.16431i 0.562916 + 0.826514i \(0.309680\pi\)
−0.941221 + 0.337791i \(0.890320\pi\)
\(648\) 19.7165 + 12.3433i 0.774537 + 0.484889i
\(649\) 25.3087i 0.993454i
\(650\) −1.36748 4.24555i −0.0536370 0.166524i
\(651\) −1.06522 + 1.06522i −0.0417491 + 0.0417491i
\(652\) 0.387088 + 3.92343i 0.0151595 + 0.153653i
\(653\) 2.64077 + 5.18281i 0.103341 + 0.202819i 0.936887 0.349631i \(-0.113693\pi\)
−0.833546 + 0.552450i \(0.813693\pi\)
\(654\) 2.23020 + 0.420703i 0.0872076 + 0.0164508i
\(655\) 8.07149 + 7.85792i 0.315379 + 0.307034i
\(656\) −4.09102 + 4.42862i −0.159728 + 0.172909i
\(657\) 42.7743i 1.66879i
\(658\) −5.23408 11.0641i −0.204046 0.431325i
\(659\) 3.23951 + 20.4534i 0.126193 + 0.796753i 0.966880 + 0.255231i \(0.0821516\pi\)
−0.840687 + 0.541522i \(0.817848\pi\)
\(660\) −6.75464 0.306401i −0.262924 0.0119266i
\(661\) −4.84212 + 30.5720i −0.188337 + 1.18911i 0.694521 + 0.719472i \(0.255616\pi\)
−0.882858 + 0.469640i \(0.844384\pi\)
\(662\) −1.14303 3.90448i −0.0444251 0.151752i
\(663\) 0.317967 + 0.231017i 0.0123488 + 0.00897194i
\(664\) 22.8327 5.25116i 0.886081 0.203785i
\(665\) 7.03702 + 6.85082i 0.272884 + 0.265663i
\(666\) −1.29106 4.41013i −0.0500275 0.170889i
\(667\) 24.3009 47.6932i 0.940935 1.84669i
\(668\) 16.1946 4.22882i 0.626588 0.163618i
\(669\) −2.76464 + 5.42591i −0.106887 + 0.209778i
\(670\) 26.8544 + 0.428680i 1.03747 + 0.0165614i
\(671\) −17.2010 + 52.9392i −0.664037 + 2.04370i
\(672\) 0.631015 1.27042i 0.0243419 0.0490075i
\(673\) −22.1370 30.4690i −0.853318 1.17449i −0.983122 0.182952i \(-0.941435\pi\)
0.129803 0.991540i \(-0.458565\pi\)
\(674\) 7.37573 0.947116i 0.284102 0.0364815i
\(675\) 6.33097 + 6.00024i 0.243679 + 0.230949i
\(676\) −6.36794 24.3865i −0.244921 0.937943i
\(677\) 33.8421 + 5.36006i 1.30066 + 0.206004i 0.768067 0.640370i \(-0.221219\pi\)
0.532590 + 0.846373i \(0.321219\pi\)
\(678\) 0.532858 + 0.780634i 0.0204643 + 0.0299801i
\(679\) 1.92400 + 0.625146i 0.0738364 + 0.0239909i
\(680\) 8.71341 + 10.1231i 0.334144 + 0.388203i
\(681\) −0.0137777 + 0.00447663i −0.000527961 + 0.000171545i
\(682\) −34.4568 26.6146i −1.31942 1.01913i
\(683\) 16.7833 32.9391i 0.642196 1.26038i −0.308786 0.951132i \(-0.599923\pi\)
0.950981 0.309248i \(-0.100077\pi\)
\(684\) −27.5808 + 12.0696i −1.05458 + 0.461493i
\(685\) 23.7905 17.7769i 0.908987 0.679222i
\(686\) 10.9488 + 11.6116i 0.418027 + 0.443331i
\(687\) 2.30425 3.17153i 0.0879126 0.121001i
\(688\) −8.87593 11.2513i −0.338392 0.428952i
\(689\) 4.79313 3.48241i 0.182604 0.132669i
\(690\) 6.29939 + 0.100558i 0.239814 + 0.00382818i
\(691\) −7.12175 44.9650i −0.270924 1.71055i −0.629460 0.777033i \(-0.716724\pi\)
0.358536 0.933516i \(-0.383276\pi\)
\(692\) 18.9494 + 4.15430i 0.720348 + 0.157923i
\(693\) −8.97146 8.97146i −0.340798 0.340798i
\(694\) 46.7039 + 16.7065i 1.77286 + 0.634171i
\(695\) −43.5298 21.4494i −1.65118 0.813621i
\(696\) 6.59899 0.455880i 0.250134 0.0172801i
\(697\) −0.983644 + 3.02735i −0.0372582 + 0.114669i
\(698\) −0.182095 + 6.19855i −0.00689241 + 0.234619i
\(699\) −0.520739 + 0.520739i −0.0196961 + 0.0196961i
\(700\) −5.21269 + 6.71312i −0.197021 + 0.253732i
\(701\) 20.8842 + 20.8842i 0.788784 + 0.788784i 0.981295 0.192511i \(-0.0616631\pi\)
−0.192511 + 0.981295i \(0.561663\pi\)
\(702\) −1.06764 1.13226i −0.0402954 0.0427345i
\(703\) 5.48221 + 1.78128i 0.206765 + 0.0671821i
\(704\) 38.7409 + 13.4124i 1.46010 + 0.505498i
\(705\) 6.64864 + 0.961856i 0.250402 + 0.0362256i
\(706\) 10.6314 + 22.4733i 0.400118 + 0.845794i
\(707\) 0.595632 0.595632i 0.0224010 0.0224010i
\(708\) 2.45408 1.57154i 0.0922298 0.0590619i
\(709\) −33.6870 + 5.33549i −1.26514 + 0.200379i −0.752712 0.658350i \(-0.771254\pi\)
−0.512430 + 0.858729i \(0.671254\pi\)
\(710\) 39.6192 5.62838i 1.48688 0.211229i
\(711\) 2.04226 + 2.81093i 0.0765908 + 0.105418i
\(712\) −45.2542 11.3235i −1.69597 0.424366i
\(713\) 32.8199 + 23.8450i 1.22911 + 0.893003i
\(714\) 0.0219918 0.748603i 0.000823021 0.0280158i
\(715\) −6.90376 2.14128i −0.258186 0.0800791i
\(716\) 9.30872 + 21.2718i 0.347883 + 0.794964i
\(717\) −6.00393 3.05915i −0.224221 0.114246i
\(718\) 23.5956 3.02990i 0.880578 0.113075i
\(719\) −8.49305 26.1389i −0.316737 0.974818i −0.975033 0.222058i \(-0.928722\pi\)
0.658296 0.752759i \(-0.271278\pi\)
\(720\) −13.0418 22.5552i −0.486041 0.840581i
\(721\) −0.916144 + 2.81960i −0.0341190 + 0.105007i
\(722\) 2.01971 10.7067i 0.0751656 0.398462i
\(723\) 0.646909 4.08442i 0.0240588 0.151901i
\(724\) 15.8926 27.1257i 0.590642 1.00812i
\(725\) −39.2979 5.14833i −1.45949 0.191204i
\(726\) −3.89257 + 5.03954i −0.144467 + 0.187035i
\(727\) −24.6334 + 17.8972i −0.913603 + 0.663771i −0.941924 0.335828i \(-0.890984\pi\)
0.0283206 + 0.999599i \(0.490984\pi\)
\(728\) 0.995803 1.14360i 0.0369069 0.0423847i
\(729\) −21.3156 6.92586i −0.789467 0.256513i
\(730\) −21.7389 + 41.0325i −0.804594 + 1.51868i
\(731\) −6.74159 3.43501i −0.249347 0.127048i
\(732\) 6.20138 1.61934i 0.229209 0.0598524i
\(733\) −20.8291 10.6130i −0.769342 0.391999i 0.0248307 0.999692i \(-0.492095\pi\)
−0.794172 + 0.607692i \(0.792095\pi\)
\(734\) 30.9266 + 16.9197i 1.14152 + 0.624516i
\(735\) −4.08141 + 0.702645i −0.150545 + 0.0259175i
\(736\) −36.4487 11.4318i −1.34352 0.421380i
\(737\) 25.5829 35.2119i 0.942359 1.29705i
\(738\) 2.98016 5.44728i 0.109701 0.200517i
\(739\) −6.42419 1.01749i −0.236318 0.0374291i 0.0371521 0.999310i \(-0.488171\pi\)
−0.273470 + 0.961881i \(0.588171\pi\)
\(740\) −1.00285 + 4.88670i −0.0368655 + 0.179639i
\(741\) 0.949875 0.150445i 0.0348945 0.00552675i
\(742\) −10.6299 3.80244i −0.390236 0.139592i
\(743\) 17.5905 0.645333 0.322666 0.946513i \(-0.395421\pi\)
0.322666 + 0.946513i \(0.395421\pi\)
\(744\) −0.441121 + 4.99375i −0.0161723 + 0.183080i
\(745\) −3.05050 5.79359i −0.111762 0.212261i
\(746\) 8.96739 + 13.1372i 0.328320 + 0.480986i
\(747\) −21.4990 + 10.9543i −0.786609 + 0.400797i
\(748\) 21.5405 2.12520i 0.787600 0.0777051i
\(749\) 2.21477 + 2.21477i 0.0809260 + 0.0809260i
\(750\) −1.48959 4.42068i −0.0543922 0.161420i
\(751\) 17.3092 0.631621 0.315810 0.948822i \(-0.397724\pi\)
0.315810 + 0.948822i \(0.397724\pi\)
\(752\) −36.9960 17.0404i −1.34911 0.621398i
\(753\) −2.27480 0.739126i −0.0828982 0.0269352i
\(754\) 6.94865 + 1.31079i 0.253055 + 0.0477361i
\(755\) −28.3072 8.77979i −1.03021 0.319529i
\(756\) −0.635036 + 2.89665i −0.0230960 + 0.105350i
\(757\) −26.1530 26.1530i −0.950548 0.950548i 0.0482860 0.998834i \(-0.484624\pi\)
−0.998834 + 0.0482860i \(0.984624\pi\)
\(758\) −3.58231 + 10.0145i −0.130115 + 0.363744i
\(759\) 6.00114 8.25986i 0.217828 0.299814i
\(760\) 32.5918 + 2.43911i 1.18223 + 0.0884759i
\(761\) 12.8899 + 17.7414i 0.467257 + 0.643124i 0.975994 0.217798i \(-0.0698873\pi\)
−0.508737 + 0.860922i \(0.669887\pi\)
\(762\) 0.0847028 0.0247966i 0.00306846 0.000898286i
\(763\) −0.723210 4.56617i −0.0261820 0.165306i
\(764\) −3.89506 + 4.74777i −0.140918 + 0.171768i
\(765\) −11.2361 7.93556i −0.406242 0.286911i
\(766\) −23.7144 12.9740i −0.856838 0.468769i
\(767\) 2.96277 0.962663i 0.106980 0.0347598i
\(768\) −1.10507 4.58938i −0.0398756 0.165605i
\(769\) −3.16461 9.73968i −0.114119 0.351222i 0.877643 0.479314i \(-0.159115\pi\)
−0.991762 + 0.128092i \(0.959115\pi\)
\(770\) 4.04663 + 13.1657i 0.145830 + 0.474457i
\(771\) 4.86841 2.48058i 0.175332 0.0893359i
\(772\) 38.5745 + 2.26837i 1.38833 + 0.0816404i
\(773\) 22.7098 +