Properties

Label 177.2.e.b.4.4
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.4
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.b.133.4

$q$-expansion

\(f(q)\) \(=\) \(q+(1.81180 + 0.197046i) q^{2} +(-0.647386 + 0.762162i) q^{3} +(1.29057 + 0.284075i) q^{4} +(1.77642 + 1.35040i) q^{5} +(-1.32312 + 1.25332i) q^{6} +(-0.458287 + 1.15021i) q^{7} +(-1.17189 - 0.394857i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(1.81180 + 0.197046i) q^{2} +(-0.647386 + 0.762162i) q^{3} +(1.29057 + 0.284075i) q^{4} +(1.77642 + 1.35040i) q^{5} +(-1.32312 + 1.25332i) q^{6} +(-0.458287 + 1.15021i) q^{7} +(-1.17189 - 0.394857i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(2.95244 + 2.79670i) q^{10} +(2.52367 - 1.16757i) q^{11} +(-1.05201 + 0.799715i) q^{12} +(0.305352 - 1.86257i) q^{13} +(-1.05697 + 1.99366i) q^{14} +(-2.17926 + 0.479691i) q^{15} +(-4.44409 - 2.05605i) q^{16} +(-2.22937 - 5.59530i) q^{17} +(-0.0986675 - 1.81982i) q^{18} +(1.25255 + 1.84737i) q^{19} +(1.90898 + 2.24742i) q^{20} +(-0.579961 - 1.09392i) q^{21} +(4.80246 - 1.61814i) q^{22} +(-0.254334 + 4.69092i) q^{23} +(1.05961 - 0.637548i) q^{24} +(-0.00554629 - 0.0199759i) q^{25} +(0.920249 - 3.31444i) q^{26} +(0.856857 + 0.515554i) q^{27} +(-0.918198 + 1.35424i) q^{28} +(-7.85003 + 0.853742i) q^{29} +(-4.04291 + 0.439693i) q^{30} +(2.07657 - 3.06271i) q^{31} +(-5.52746 - 3.32576i) q^{32} +(-0.743909 + 2.67932i) q^{33} +(-2.93666 - 10.5769i) q^{34} +(-2.36736 + 1.42440i) q^{35} +(0.0715425 - 1.31952i) q^{36} +(-0.409526 + 0.137985i) q^{37} +(1.90535 + 3.59388i) q^{38} +(1.22190 + 1.43853i) q^{39} +(-1.54856 - 2.28396i) q^{40} +(-0.412380 - 7.60591i) q^{41} +(-0.835223 - 2.09625i) q^{42} +(5.14145 + 2.37869i) q^{43} +(3.58865 - 0.789921i) q^{44} +(1.04522 - 1.97149i) q^{45} +(-1.38513 + 8.44891i) q^{46} +(-3.88840 + 2.95588i) q^{47} +(4.44409 - 2.05605i) q^{48} +(3.96900 + 3.75964i) q^{49} +(-0.00611263 - 0.0372854i) q^{50} +(5.70779 + 1.92318i) q^{51} +(0.923187 - 2.31702i) q^{52} +(-5.08082 + 4.81281i) q^{53} +(1.45087 + 1.10292i) q^{54} +(6.05980 + 1.33386i) q^{55} +(0.991233 - 1.16697i) q^{56} +(-2.21887 - 0.241317i) q^{57} -14.3909 q^{58} +(1.39669 + 7.55310i) q^{59} -2.94875 q^{60} +(13.1718 + 1.43252i) q^{61} +(4.36583 - 5.13985i) q^{62} +(1.20920 + 0.266166i) q^{63} +(-1.56295 - 1.18813i) q^{64} +(3.05765 - 2.89636i) q^{65} +(-1.87577 + 4.70782i) q^{66} +(4.13499 + 1.39324i) q^{67} +(-1.28767 - 7.85442i) q^{68} +(-3.41059 - 3.23068i) q^{69} +(-4.56987 + 2.11425i) q^{70} +(-7.27907 + 5.53341i) q^{71} +(-0.200064 + 1.22034i) q^{72} +(-1.95425 + 3.68611i) q^{73} +(-0.769170 + 0.169307i) q^{74} +(0.0188155 + 0.00870497i) q^{75} +(1.09170 + 2.73997i) q^{76} +(0.186395 + 3.43785i) q^{77} +(1.93038 + 2.84710i) q^{78} +(-0.176195 - 0.207432i) q^{79} +(-5.11809 - 9.65373i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(0.751558 - 13.8617i) q^{82} +(-10.1252 + 6.09212i) q^{83} +(-0.437722 - 1.57653i) q^{84} +(3.59560 - 12.9502i) q^{85} +(8.84659 + 5.32282i) q^{86} +(4.43131 - 6.53569i) q^{87} +(-3.41850 + 0.371784i) q^{88} +(8.71468 - 0.947779i) q^{89} +(2.28221 - 3.36600i) q^{90} +(2.00241 + 1.20481i) q^{91} +(-1.66081 + 5.98169i) q^{92} +(0.989938 + 3.56543i) q^{93} +(-7.62746 + 4.58929i) q^{94} +(-0.269636 + 4.97315i) q^{95} +(6.11317 - 2.05977i) q^{96} +(-3.74149 - 7.05720i) q^{97} +(6.45024 + 7.59381i) q^{98} +(-1.56048 - 2.30153i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} + O(q^{10}) \) \( 140q + q^{2} + 5q^{3} - q^{4} + 2q^{5} - q^{6} - 2q^{7} - 3q^{8} - 5q^{9} - 116q^{10} + 2q^{11} + q^{12} + 4q^{13} - 43q^{14} - 2q^{15} + 7q^{16} + q^{18} - 2q^{19} + 4q^{20} - 27q^{21} + 6q^{22} + 6q^{23} + 3q^{24} - 57q^{25} + 12q^{26} + 5q^{27} - 10q^{28} - 4q^{29} - 12q^{31} - 150q^{32} - 2q^{33} - 2q^{34} + 6q^{35} - q^{36} + 12q^{37} - 12q^{38} - 4q^{39} - 66q^{40} - 4q^{41} + 14q^{42} - 60q^{43} + 20q^{44} + 2q^{45} + 76q^{46} - 25q^{47} - 7q^{48} + 31q^{49} + 137q^{50} + 118q^{52} + 48q^{53} - q^{54} + 93q^{55} + 228q^{56} + 2q^{57} - 120q^{58} + 57q^{59} - 4q^{60} + 72q^{61} - 179q^{62} - 2q^{63} + 249q^{64} - 39q^{65} - 6q^{66} + 40q^{67} + 94q^{68} - 64q^{69} + 94q^{70} + 30q^{71} - 3q^{72} - 205q^{73} + 66q^{74} - q^{75} - 216q^{76} - 46q^{77} - 12q^{78} + 4q^{79} - 356q^{80} - 5q^{81} - 28q^{82} + 4q^{83} - 135q^{84} + 50q^{85} - 18q^{86} - 54q^{87} - 162q^{88} + 26q^{89} - 198q^{91} + 10q^{92} + 12q^{93} - 4q^{94} - 326q^{95} + 5q^{96} - 20q^{97} - 143q^{98} + 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.81180 + 0.197046i 1.28114 + 0.139332i 0.723252 0.690584i \(-0.242647\pi\)
0.557887 + 0.829917i \(0.311612\pi\)
\(3\) −0.647386 + 0.762162i −0.373769 + 0.440034i
\(4\) 1.29057 + 0.284075i 0.645284 + 0.142038i
\(5\) 1.77642 + 1.35040i 0.794441 + 0.603918i 0.921679 0.387954i \(-0.126818\pi\)
−0.127238 + 0.991872i \(0.540611\pi\)
\(6\) −1.32312 + 1.25332i −0.540161 + 0.511667i
\(7\) −0.458287 + 1.15021i −0.173216 + 0.434740i −0.989796 0.142493i \(-0.954488\pi\)
0.816580 + 0.577233i \(0.195868\pi\)
\(8\) −1.17189 0.394857i −0.414327 0.139603i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) 2.95244 + 2.79670i 0.933644 + 0.884395i
\(11\) 2.52367 1.16757i 0.760915 0.352037i −0.000756688 1.00000i \(-0.500241\pi\)
0.761672 + 0.647963i \(0.224379\pi\)
\(12\) −1.05201 + 0.799715i −0.303688 + 0.230858i
\(13\) 0.305352 1.86257i 0.0846895 0.516583i −0.910080 0.414434i \(-0.863980\pi\)
0.994769 0.102149i \(-0.0325720\pi\)
\(14\) −1.05697 + 1.99366i −0.282487 + 0.532828i
\(15\) −2.17926 + 0.479691i −0.562682 + 0.123856i
\(16\) −4.44409 2.05605i −1.11102 0.514014i
\(17\) −2.22937 5.59530i −0.540702 1.35706i −0.904855 0.425720i \(-0.860021\pi\)
0.364153 0.931339i \(-0.381359\pi\)
\(18\) −0.0986675 1.81982i −0.0232562 0.428935i
\(19\) 1.25255 + 1.84737i 0.287354 + 0.423815i 0.943780 0.330576i \(-0.107243\pi\)
−0.656426 + 0.754391i \(0.727933\pi\)
\(20\) 1.90898 + 2.24742i 0.426861 + 0.502539i
\(21\) −0.579961 1.09392i −0.126558 0.238713i
\(22\) 4.80246 1.61814i 1.02389 0.344988i
\(23\) −0.254334 + 4.69092i −0.0530323 + 0.978123i 0.844051 + 0.536263i \(0.180164\pi\)
−0.897084 + 0.441861i \(0.854318\pi\)
\(24\) 1.05961 0.637548i 0.216292 0.130139i
\(25\) −0.00554629 0.0199759i −0.00110926 0.00399519i
\(26\) 0.920249 3.31444i 0.180476 0.650015i
\(27\) 0.856857 + 0.515554i 0.164902 + 0.0992184i
\(28\) −0.918198 + 1.35424i −0.173523 + 0.255927i
\(29\) −7.85003 + 0.853742i −1.45771 + 0.158536i −0.802384 0.596808i \(-0.796436\pi\)
−0.655329 + 0.755344i \(0.727470\pi\)
\(30\) −4.04291 + 0.439693i −0.738131 + 0.0802766i
\(31\) 2.07657 3.06271i 0.372962 0.550078i −0.594174 0.804337i \(-0.702521\pi\)
0.967136 + 0.254258i \(0.0818313\pi\)
\(32\) −5.52746 3.32576i −0.977126 0.587917i
\(33\) −0.743909 + 2.67932i −0.129498 + 0.466409i
\(34\) −2.93666 10.5769i −0.503632 1.81392i
\(35\) −2.36736 + 1.42440i −0.400158 + 0.240767i
\(36\) 0.0715425 1.31952i 0.0119238 0.219921i
\(37\) −0.409526 + 0.137985i −0.0673257 + 0.0226847i −0.352763 0.935713i \(-0.614758\pi\)
0.285437 + 0.958397i \(0.407861\pi\)
\(38\) 1.90535 + 3.59388i 0.309089 + 0.583004i
\(39\) 1.22190 + 1.43853i 0.195660 + 0.230349i
\(40\) −1.54856 2.28396i −0.244849 0.361126i
\(41\) −0.412380 7.60591i −0.0644030 1.18784i −0.834901 0.550401i \(-0.814475\pi\)
0.770498 0.637443i \(-0.220008\pi\)
\(42\) −0.835223 2.09625i −0.128878 0.323459i
\(43\) 5.14145 + 2.37869i 0.784063 + 0.362746i 0.770728 0.637165i \(-0.219893\pi\)
0.0133358 + 0.999911i \(0.495755\pi\)
\(44\) 3.58865 0.789921i 0.541009 0.119085i
\(45\) 1.04522 1.97149i 0.155812 0.293893i
\(46\) −1.38513 + 8.44891i −0.204226 + 1.24572i
\(47\) −3.88840 + 2.95588i −0.567181 + 0.431160i −0.849065 0.528289i \(-0.822834\pi\)
0.281884 + 0.959449i \(0.409041\pi\)
\(48\) 4.44409 2.05605i 0.641449 0.296766i
\(49\) 3.96900 + 3.75964i 0.567000 + 0.537091i
\(50\) −0.00611263 0.0372854i −0.000864456 0.00527295i
\(51\) 5.70779 + 1.92318i 0.799250 + 0.269299i
\(52\) 0.923187 2.31702i 0.128023 0.321314i
\(53\) −5.08082 + 4.81281i −0.697904 + 0.661090i −0.952003 0.306088i \(-0.900980\pi\)
0.254099 + 0.967178i \(0.418221\pi\)
\(54\) 1.45087 + 1.10292i 0.197438 + 0.150089i
\(55\) 6.05980 + 1.33386i 0.817104 + 0.179858i
\(56\) 0.991233 1.16697i 0.132459 0.155943i
\(57\) −2.21887 0.241317i −0.293897 0.0319632i
\(58\) −14.3909 −1.88962
\(59\) 1.39669 + 7.55310i 0.181833 + 0.983329i
\(60\) −2.94875 −0.380682
\(61\) 13.1718 + 1.43252i 1.68647 + 0.183415i 0.900504 0.434848i \(-0.143198\pi\)
0.785971 + 0.618263i \(0.212163\pi\)
\(62\) 4.36583 5.13985i 0.554460 0.652761i
\(63\) 1.20920 + 0.266166i 0.152345 + 0.0335338i
\(64\) −1.56295 1.18813i −0.195369 0.148516i
\(65\) 3.05765 2.89636i 0.379255 0.359249i
\(66\) −1.87577 + 4.70782i −0.230891 + 0.579492i
\(67\) 4.13499 + 1.39324i 0.505169 + 0.170211i 0.560335 0.828266i \(-0.310672\pi\)
−0.0551662 + 0.998477i \(0.517569\pi\)
\(68\) −1.28767 7.85442i −0.156153 0.952489i
\(69\) −3.41059 3.23068i −0.410586 0.388928i
\(70\) −4.56987 + 2.11425i −0.546204 + 0.252701i
\(71\) −7.27907 + 5.53341i −0.863867 + 0.656694i −0.940288 0.340381i \(-0.889444\pi\)
0.0764207 + 0.997076i \(0.475651\pi\)
\(72\) −0.200064 + 1.22034i −0.0235778 + 0.143818i
\(73\) −1.95425 + 3.68611i −0.228728 + 0.431427i −0.971138 0.238519i \(-0.923338\pi\)
0.742410 + 0.669946i \(0.233683\pi\)
\(74\) −0.769170 + 0.169307i −0.0894143 + 0.0196816i
\(75\) 0.0188155 + 0.00870497i 0.00217263 + 0.00100516i
\(76\) 1.09170 + 2.73997i 0.125227 + 0.314296i
\(77\) 0.186395 + 3.43785i 0.0212416 + 0.391779i
\(78\) 1.93038 + 2.84710i 0.218573 + 0.322371i
\(79\) −0.176195 0.207432i −0.0198235 0.0233380i 0.752161 0.658979i \(-0.229012\pi\)
−0.771984 + 0.635641i \(0.780736\pi\)
\(80\) −5.11809 9.65373i −0.572219 1.07932i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) 0.751558 13.8617i 0.0829957 1.53077i
\(83\) −10.1252 + 6.09212i −1.11138 + 0.668697i −0.948129 0.317887i \(-0.897027\pi\)
−0.163254 + 0.986584i \(0.552199\pi\)
\(84\) −0.437722 1.57653i −0.0477594 0.172014i
\(85\) 3.59560 12.9502i 0.389997 1.40464i
\(86\) 8.84659 + 5.32282i 0.953952 + 0.573974i
\(87\) 4.43131 6.53569i 0.475086 0.700700i
\(88\) −3.41850 + 0.371784i −0.364413 + 0.0396323i
\(89\) 8.71468 0.947779i 0.923755 0.100464i 0.366136 0.930561i \(-0.380681\pi\)
0.557619 + 0.830097i \(0.311715\pi\)
\(90\) 2.28221 3.36600i 0.240566 0.354808i
\(91\) 2.00241 + 1.20481i 0.209910 + 0.126299i
\(92\) −1.66081 + 5.98169i −0.173151 + 0.623635i
\(93\) 0.989938 + 3.56543i 0.102652 + 0.369718i
\(94\) −7.62746 + 4.58929i −0.786713 + 0.473349i
\(95\) −0.269636 + 4.97315i −0.0276641 + 0.510234i
\(96\) 6.11317 2.05977i 0.623923 0.210224i
\(97\) −3.74149 7.05720i −0.379891 0.716550i 0.617664 0.786442i \(-0.288079\pi\)
−0.997555 + 0.0698924i \(0.977734\pi\)
\(98\) 6.45024 + 7.59381i 0.651572 + 0.767090i
\(99\) −1.56048 2.30153i −0.156834 0.231313i
\(100\) −0.00148319 0.0273559i −0.000148319 0.00273559i
\(101\) −4.56784 11.4644i −0.454517 1.14075i −0.960518 0.278219i \(-0.910256\pi\)
0.506000 0.862533i \(-0.331124\pi\)
\(102\) 9.96245 + 4.60912i 0.986429 + 0.456371i
\(103\) −10.0022 + 2.20166i −0.985549 + 0.216936i −0.678373 0.734717i \(-0.737315\pi\)
−0.307175 + 0.951653i \(0.599384\pi\)
\(104\) −1.09329 + 2.06216i −0.107206 + 0.202211i
\(105\) 0.446979 2.72645i 0.0436207 0.266074i
\(106\) −10.1538 + 7.71871i −0.986223 + 0.749707i
\(107\) 9.49653 4.39356i 0.918064 0.424742i 0.0968089 0.995303i \(-0.469136\pi\)
0.821255 + 0.570561i \(0.193274\pi\)
\(108\) 0.959376 + 0.908769i 0.0923160 + 0.0874463i
\(109\) 2.71417 + 16.5557i 0.259970 + 1.58575i 0.717504 + 0.696555i \(0.245285\pi\)
−0.457534 + 0.889192i \(0.651267\pi\)
\(110\) 10.7163 + 3.61076i 1.02176 + 0.344272i
\(111\) 0.159954 0.401455i 0.0151822 0.0381044i
\(112\) 4.40157 4.16939i 0.415910 0.393970i
\(113\) −5.41830 4.11888i −0.509710 0.387472i 0.318470 0.947933i \(-0.396831\pi\)
−0.828181 + 0.560461i \(0.810624\pi\)
\(114\) −3.97261 0.874439i −0.372069 0.0818987i
\(115\) −6.78643 + 7.98960i −0.632838 + 0.745034i
\(116\) −10.3735 1.12819i −0.963157 0.104750i
\(117\) −1.88743 −0.174493
\(118\) 1.04222 + 13.9599i 0.0959438 + 1.28512i
\(119\) 7.45749 0.683627
\(120\) 2.74327 + 0.298348i 0.250425 + 0.0272353i
\(121\) −2.11557 + 2.49064i −0.192324 + 0.226422i
\(122\) 23.5824 + 5.19089i 2.13505 + 0.469961i
\(123\) 6.06390 + 4.60966i 0.546764 + 0.415639i
\(124\) 3.54999 3.36273i 0.318798 0.301982i
\(125\) 4.14681 10.4077i 0.370902 0.930893i
\(126\) 2.13840 + 0.720509i 0.190503 + 0.0641881i
\(127\) −0.292920 1.78673i −0.0259924 0.158547i 0.970641 0.240533i \(-0.0773221\pi\)
−0.996634 + 0.0819857i \(0.973874\pi\)
\(128\) 6.76893 + 6.41187i 0.598295 + 0.566735i
\(129\) −5.14145 + 2.37869i −0.452679 + 0.209432i
\(130\) 6.11058 4.64514i 0.535933 0.407406i
\(131\) 2.74113 16.7201i 0.239493 1.46084i −0.543812 0.839207i \(-0.683020\pi\)
0.783305 0.621637i \(-0.213532\pi\)
\(132\) −1.72119 + 3.24651i −0.149811 + 0.282573i
\(133\) −2.69889 + 0.594071i −0.234024 + 0.0515125i
\(134\) 7.21726 + 3.33906i 0.623476 + 0.288451i
\(135\) 0.825936 + 2.07294i 0.0710853 + 0.178411i
\(136\) 0.403243 + 7.43738i 0.0345778 + 0.637750i
\(137\) 11.9782 + 17.6665i 1.02337 + 1.50935i 0.851584 + 0.524218i \(0.175642\pi\)
0.171782 + 0.985135i \(0.445047\pi\)
\(138\) −5.54272 6.52540i −0.471828 0.555479i
\(139\) −6.31323 11.9080i −0.535482 1.01003i −0.992693 0.120667i \(-0.961497\pi\)
0.457211 0.889358i \(-0.348848\pi\)
\(140\) −3.45988 + 1.16577i −0.292413 + 0.0985255i
\(141\) 0.264433 4.87719i 0.0222693 0.410733i
\(142\) −14.2786 + 8.59114i −1.19823 + 0.720952i
\(143\) −1.40408 5.05703i −0.117415 0.422890i
\(144\) −1.31000 + 4.71818i −0.109166 + 0.393182i
\(145\) −15.0979 9.08409i −1.25381 0.754392i
\(146\) −4.26706 + 6.29344i −0.353144 + 0.520848i
\(147\) −5.43493 + 0.591085i −0.448266 + 0.0487518i
\(148\) −0.567719 + 0.0617432i −0.0466662 + 0.00507526i
\(149\) 3.09970 4.57172i 0.253937 0.374530i −0.679258 0.733900i \(-0.737698\pi\)
0.933195 + 0.359370i \(0.117008\pi\)
\(150\) 0.0323747 + 0.0194792i 0.00264338 + 0.00159047i
\(151\) −1.14457 + 4.12235i −0.0931434 + 0.335472i −0.995410 0.0957074i \(-0.969489\pi\)
0.902266 + 0.431180i \(0.141902\pi\)
\(152\) −0.738404 2.65949i −0.0598925 0.215713i
\(153\) −5.16092 + 3.10522i −0.417236 + 0.251042i
\(154\) −0.339702 + 6.26543i −0.0273740 + 0.504883i
\(155\) 7.82475 2.63647i 0.628499 0.211766i
\(156\) 1.16829 + 2.20363i 0.0935380 + 0.176431i
\(157\) −12.9803 15.2816i −1.03594 1.21960i −0.975171 0.221452i \(-0.928920\pi\)
−0.0607693 0.998152i \(-0.519355\pi\)
\(158\) −0.278357 0.410546i −0.0221449 0.0326612i
\(159\) −0.378887 6.98815i −0.0300477 0.554196i
\(160\) −5.32800 13.3723i −0.421215 1.05717i
\(161\) −5.27900 2.44232i −0.416043 0.192482i
\(162\) −1.77988 + 0.391781i −0.139841 + 0.0307812i
\(163\) 4.85206 9.15195i 0.380042 0.716836i −0.617524 0.786552i \(-0.711864\pi\)
0.997567 + 0.0697156i \(0.0222092\pi\)
\(164\) 1.62845 9.93308i 0.127160 0.775644i
\(165\) −4.93965 + 3.75503i −0.384552 + 0.292328i
\(166\) −19.5453 + 9.04260i −1.51701 + 0.701842i
\(167\) 2.75725 + 2.61180i 0.213362 + 0.202107i 0.786915 0.617061i \(-0.211677\pi\)
−0.573553 + 0.819168i \(0.694435\pi\)
\(168\) 0.247709 + 1.51096i 0.0191112 + 0.116573i
\(169\) 8.94358 + 3.01344i 0.687967 + 0.231803i
\(170\) 9.06630 22.7547i 0.695353 1.74520i
\(171\) 1.62039 1.53492i 0.123914 0.117378i
\(172\) 5.95966 + 4.53041i 0.454420 + 0.345441i
\(173\) −7.59595 1.67200i −0.577509 0.127119i −0.0833954 0.996517i \(-0.526576\pi\)
−0.494114 + 0.869397i \(0.664507\pi\)
\(174\) 9.31650 10.9682i 0.706282 0.831499i
\(175\) 0.0255184 + 0.00277529i 0.00192901 + 0.000209792i
\(176\) −13.6160 −1.02635
\(177\) −6.66088 3.82527i −0.500662 0.287525i
\(178\) 15.9761 1.19746
\(179\) −19.0262 2.06923i −1.42209 0.154661i −0.635481 0.772117i \(-0.719198\pi\)
−0.786606 + 0.617456i \(0.788164\pi\)
\(180\) 1.90898 2.24742i 0.142287 0.167513i
\(181\) 19.1676 + 4.21910i 1.42471 + 0.313603i 0.859413 0.511282i \(-0.170829\pi\)
0.565301 + 0.824885i \(0.308760\pi\)
\(182\) 3.39058 + 2.57745i 0.251326 + 0.191053i
\(183\) −9.61905 + 9.11165i −0.711060 + 0.673552i
\(184\) 2.15029 5.39683i 0.158522 0.397859i
\(185\) −0.913828 0.307904i −0.0671859 0.0226376i
\(186\) 1.09102 + 6.65493i 0.0799975 + 0.487963i
\(187\) −12.1591 11.5177i −0.889163 0.842260i
\(188\) −5.85793 + 2.71017i −0.427234 + 0.197659i
\(189\) −0.985684 + 0.749297i −0.0716980 + 0.0545034i
\(190\) −1.46846 + 8.95724i −0.106534 + 0.649826i
\(191\) −3.55608 + 6.70748i −0.257309 + 0.485336i −0.978187 0.207726i \(-0.933394\pi\)
0.720878 + 0.693062i \(0.243739\pi\)
\(192\) 1.91738 0.422047i 0.138375 0.0304586i
\(193\) −9.12092 4.21979i −0.656538 0.303747i 0.0631914 0.998001i \(-0.479872\pi\)
−0.719730 + 0.694255i \(0.755734\pi\)
\(194\) −5.38826 13.5235i −0.386854 0.970931i
\(195\) 0.228015 + 4.20549i 0.0163285 + 0.301161i
\(196\) 4.05425 + 5.97956i 0.289589 + 0.427112i
\(197\) −13.0773 15.3958i −0.931717 1.09690i −0.995096 0.0989126i \(-0.968464\pi\)
0.0633791 0.997990i \(-0.479812\pi\)
\(198\) −2.37377 4.47741i −0.168697 0.318196i
\(199\) −3.46191 + 1.16645i −0.245409 + 0.0826878i −0.439318 0.898332i \(-0.644780\pi\)
0.193909 + 0.981019i \(0.437883\pi\)
\(200\) −0.00138797 + 0.0255997i −9.81445e−5 + 0.00181017i
\(201\) −3.73881 + 2.24957i −0.263715 + 0.158672i
\(202\) −6.01703 21.6714i −0.423356 1.52479i
\(203\) 2.61558 9.42047i 0.183578 0.661187i
\(204\) 6.81996 + 4.10343i 0.477493 + 0.287298i
\(205\) 9.53847 14.0682i 0.666196 0.982565i
\(206\) −18.5559 + 2.01808i −1.29285 + 0.140606i
\(207\) 4.67027 0.507922i 0.324606 0.0353030i
\(208\) −5.18655 + 7.64959i −0.359623 + 0.530404i
\(209\) 5.31795 + 3.19970i 0.367850 + 0.221328i
\(210\) 1.34707 4.85172i 0.0929569 0.334800i
\(211\) 1.67831 + 6.04472i 0.115540 + 0.416136i 0.998587 0.0531485i \(-0.0169257\pi\)
−0.883047 + 0.469285i \(0.844512\pi\)
\(212\) −7.92434 + 4.76792i −0.544246 + 0.327462i
\(213\) 0.495019 9.13008i 0.0339181 0.625583i
\(214\) 18.0716 6.08902i 1.23535 0.416237i
\(215\) 5.92121 + 11.1686i 0.403823 + 0.761691i
\(216\) −0.800575 0.942510i −0.0544722 0.0641297i
\(217\) 2.57110 + 3.79210i 0.174538 + 0.257424i
\(218\) 1.65531 + 30.5305i 0.112112 + 2.06778i
\(219\) −1.54426 3.87580i −0.104351 0.261902i
\(220\) 7.44167 + 3.44288i 0.501717 + 0.232119i
\(221\) −11.1024 + 2.44382i −0.746826 + 0.164389i
\(222\) 0.368911 0.695840i 0.0247597 0.0467017i
\(223\) −4.59999 + 28.0587i −0.308038 + 1.87895i 0.147998 + 0.988988i \(0.452717\pi\)
−0.456036 + 0.889961i \(0.650731\pi\)
\(224\) 6.35850 4.83361i 0.424845 0.322959i
\(225\) −0.0188155 + 0.00870497i −0.00125437 + 0.000580332i
\(226\) −9.00529 8.53026i −0.599023 0.567424i
\(227\) 1.99687 + 12.1804i 0.132537 + 0.808438i 0.966509 + 0.256632i \(0.0826129\pi\)
−0.833972 + 0.551806i \(0.813939\pi\)
\(228\) −2.79505 0.941763i −0.185107 0.0623698i
\(229\) 9.72766 24.4146i 0.642822 1.61336i −0.139310 0.990249i \(-0.544488\pi\)
0.782132 0.623113i \(-0.214132\pi\)
\(230\) −13.8700 + 13.1384i −0.914560 + 0.866318i
\(231\) −2.74086 2.08355i −0.180336 0.137088i
\(232\) 9.53650 + 2.09914i 0.626102 + 0.137815i
\(233\) −11.8602 + 13.9630i −0.776990 + 0.914744i −0.998169 0.0604897i \(-0.980734\pi\)
0.221179 + 0.975233i \(0.429010\pi\)
\(234\) −3.41966 0.371910i −0.223550 0.0243125i
\(235\) −10.8991 −0.710977
\(236\) −0.343132 + 10.1445i −0.0223360 + 0.660354i
\(237\) 0.272163 0.0176789
\(238\) 13.5115 + 1.46946i 0.875821 + 0.0952513i
\(239\) 16.9303 19.9319i 1.09513 1.28929i 0.140963 0.990015i \(-0.454980\pi\)
0.954168 0.299273i \(-0.0967440\pi\)
\(240\) 10.6711 + 2.34888i 0.688816 + 0.151620i
\(241\) 21.2452 + 16.1502i 1.36852 + 1.04033i 0.993562 + 0.113286i \(0.0361375\pi\)
0.374963 + 0.927040i \(0.377656\pi\)
\(242\) −4.32376 + 4.09568i −0.277942 + 0.263281i
\(243\) 0.370138 0.928977i 0.0237444 0.0595939i
\(244\) 16.5921 + 5.59054i 1.06220 + 0.357898i
\(245\) 1.97361 + 12.0385i 0.126089 + 0.769109i
\(246\) 10.0783 + 9.54667i 0.642569 + 0.608673i
\(247\) 3.82331 1.76885i 0.243271 0.112549i
\(248\) −3.64284 + 2.76922i −0.231321 + 0.175846i
\(249\) 1.91172 11.6610i 0.121150 0.738985i
\(250\) 9.56399 18.0396i 0.604880 1.14092i
\(251\) 8.09981 1.78290i 0.511255 0.112536i 0.0481519 0.998840i \(-0.484667\pi\)
0.463104 + 0.886304i \(0.346736\pi\)
\(252\) 1.48495 + 0.687010i 0.0935430 + 0.0432776i
\(253\) 4.83514 + 12.1353i 0.303982 + 0.762938i
\(254\) −0.178646 3.29493i −0.0112092 0.206742i
\(255\) 7.54239 + 11.1242i 0.472323 + 0.696624i
\(256\) 13.5425 + 15.9435i 0.846409 + 0.996470i
\(257\) −4.32229 8.15271i −0.269617 0.508552i 0.711322 0.702866i \(-0.248097\pi\)
−0.980939 + 0.194314i \(0.937752\pi\)
\(258\) −9.78401 + 3.29662i −0.609126 + 0.205238i
\(259\) 0.0289678 0.534280i 0.00179997 0.0331985i
\(260\) 4.76889 2.86934i 0.295754 0.177949i
\(261\) 2.11249 + 7.60849i 0.130760 + 0.470954i
\(262\) 8.26101 29.7535i 0.510367 1.83818i
\(263\) 18.4119 + 11.0781i 1.13533 + 0.683105i 0.953848 0.300290i \(-0.0970834\pi\)
0.181481 + 0.983395i \(0.441911\pi\)
\(264\) 1.92973 2.84614i 0.118767 0.175168i
\(265\) −15.5249 + 1.68844i −0.953688 + 0.103720i
\(266\) −5.00693 + 0.544536i −0.306994 + 0.0333876i
\(267\) −4.91941 + 7.25558i −0.301063 + 0.444034i
\(268\) 4.94069 + 2.97272i 0.301801 + 0.181588i
\(269\) −1.03047 + 3.71140i −0.0628286 + 0.226288i −0.988298 0.152533i \(-0.951257\pi\)
0.925470 + 0.378822i \(0.123671\pi\)
\(270\) 1.08797 + 3.91852i 0.0662118 + 0.238473i
\(271\) 8.68268 5.22420i 0.527435 0.317347i −0.226811 0.973939i \(-0.572830\pi\)
0.754246 + 0.656591i \(0.228002\pi\)
\(272\) −1.59672 + 29.4497i −0.0968152 + 1.78565i
\(273\) −2.21460 + 0.746184i −0.134033 + 0.0451611i
\(274\) 18.2210 + 34.3685i 1.10077 + 2.07628i
\(275\) −0.0373204 0.0439370i −0.00225050 0.00264950i
\(276\) −3.48383 5.13827i −0.209702 0.309288i
\(277\) 0.588738 + 10.8586i 0.0353739 + 0.652433i 0.961430 + 0.275048i \(0.0886937\pi\)
−0.926057 + 0.377385i \(0.876823\pi\)
\(278\) −9.09192 22.8190i −0.545297 1.36859i
\(279\) −3.35831 1.55372i −0.201057 0.0930188i
\(280\) 3.33673 0.734470i 0.199408 0.0438930i
\(281\) 8.07315 15.2276i 0.481604 0.908401i −0.517021 0.855973i \(-0.672959\pi\)
0.998625 0.0524284i \(-0.0166961\pi\)
\(282\) 1.44013 8.78441i 0.0857585 0.523104i
\(283\) 21.8231 16.5895i 1.29725 0.986141i 0.297742 0.954646i \(-0.403766\pi\)
0.999504 0.0314947i \(-0.0100267\pi\)
\(284\) −10.9660 + 5.07343i −0.650715 + 0.301053i
\(285\) −3.61579 3.42505i −0.214181 0.202883i
\(286\) −1.54745 9.43901i −0.0915025 0.558140i
\(287\) 8.93741 + 3.01136i 0.527559 + 0.177755i
\(288\) −2.38771 + 5.99269i −0.140697 + 0.353123i
\(289\) −13.9954 + 13.2571i −0.823257 + 0.779830i
\(290\) −25.5644 19.4336i −1.50119 1.14118i
\(291\) 7.80092 + 1.71711i 0.457298 + 0.100659i
\(292\) −3.56923 + 4.20202i −0.208873 + 0.245905i
\(293\) 4.40962 + 0.479575i 0.257613 + 0.0280171i 0.236014 0.971750i \(-0.424159\pi\)
0.0215987 + 0.999767i \(0.493124\pi\)
\(294\) −9.96351 −0.581083
\(295\) −7.71861 + 15.3036i −0.449395 + 0.891009i
\(296\) 0.534405 0.0310617
\(297\) 2.76437 + 0.300644i 0.160405 + 0.0174451i
\(298\) 6.51689 7.67228i 0.377513 0.444443i
\(299\) 8.65948 + 1.90610i 0.500791 + 0.110232i
\(300\) 0.0218098 + 0.0165794i 0.00125919 + 0.000957211i
\(301\) −5.09226 + 4.82364i −0.293513 + 0.278030i
\(302\) −2.88602 + 7.24336i −0.166072 + 0.416809i
\(303\) 11.6949 + 3.94047i 0.671855 + 0.226374i
\(304\) −1.76814 10.7852i −0.101410 0.618572i
\(305\) 21.4642 + 20.3320i 1.22904 + 1.16421i
\(306\) −9.96245 + 4.60912i −0.569515 + 0.263486i
\(307\) 5.20968 3.96030i 0.297332 0.226026i −0.445862 0.895102i \(-0.647103\pi\)
0.743194 + 0.669076i \(0.233310\pi\)
\(308\) −0.736053 + 4.48972i −0.0419405 + 0.255826i
\(309\) 4.79729 9.04864i 0.272908 0.514759i
\(310\) 14.6964 3.23493i 0.834701 0.183731i
\(311\) −19.1440 8.85697i −1.08556 0.502233i −0.206256 0.978498i \(-0.566128\pi\)
−0.879302 + 0.476265i \(0.841990\pi\)
\(312\) −0.863920 2.16828i −0.0489098 0.122754i
\(313\) −0.737510 13.6026i −0.0416865 0.768862i −0.942408 0.334465i \(-0.891444\pi\)
0.900722 0.434397i \(-0.143038\pi\)
\(314\) −20.5066 30.2450i −1.15725 1.70682i
\(315\) 1.78863 + 2.10574i 0.100778 + 0.118645i
\(316\) −0.168465 0.317758i −0.00947688 0.0178753i
\(317\) −6.30217 + 2.12345i −0.353965 + 0.119265i −0.490666 0.871348i \(-0.663247\pi\)
0.136701 + 0.990612i \(0.456350\pi\)
\(318\) 0.690516 12.7358i 0.0387222 0.714189i
\(319\) −18.8141 + 11.3201i −1.05339 + 0.633801i
\(320\) −1.17202 4.22124i −0.0655179 0.235974i
\(321\) −2.79932 + 10.0822i −0.156243 + 0.562735i
\(322\) −9.08326 5.46522i −0.506191 0.304565i
\(323\) 7.54418 11.1268i 0.419770 0.619114i
\(324\) −1.31372 + 0.142875i −0.0729842 + 0.00793751i
\(325\) −0.0389001 + 0.00423064i −0.00215779 + 0.000234674i
\(326\) 10.5943 15.6255i 0.586766 0.865415i
\(327\) −14.3752 8.64929i −0.794952 0.478307i
\(328\) −2.51998 + 9.07614i −0.139143 + 0.501146i
\(329\) −1.61790 5.82713i −0.0891975 0.321260i
\(330\) −9.68960 + 5.83004i −0.533395 + 0.320933i
\(331\) −0.537185 + 9.90780i −0.0295264 + 0.544582i 0.945928 + 0.324378i \(0.105155\pi\)
−0.975454 + 0.220204i \(0.929328\pi\)
\(332\) −14.7978 + 4.98597i −0.812137 + 0.273641i
\(333\) 0.202422 + 0.381808i 0.0110926 + 0.0209229i
\(334\) 4.48095 + 5.27538i 0.245187 + 0.288656i
\(335\) 5.46406 + 8.05888i 0.298533 + 0.440304i
\(336\) 0.328234 + 6.05392i 0.0179066 + 0.330268i
\(337\) −4.20785 10.5609i −0.229216 0.575289i 0.768714 0.639592i \(-0.220897\pi\)
−0.997930 + 0.0643034i \(0.979517\pi\)
\(338\) 15.6102 + 7.22206i 0.849084 + 0.392828i
\(339\) 6.64699 1.46311i 0.361015 0.0794653i
\(340\) 8.31919 15.6917i 0.451171 0.850999i
\(341\) 1.66463 10.1538i 0.0901449 0.549860i
\(342\) 3.23828 2.46168i 0.175106 0.133112i
\(343\) −14.0093 + 6.48141i −0.756434 + 0.349963i
\(344\) −5.08599 4.81770i −0.274218 0.259753i
\(345\) −1.69593 10.3447i −0.0913058 0.556941i
\(346\) −13.4329 4.52608i −0.722158 0.243323i
\(347\) −3.34715 + 8.40072i −0.179685 + 0.450974i −0.991038 0.133582i \(-0.957352\pi\)
0.811353 + 0.584556i \(0.198731\pi\)
\(348\) 7.57553 7.17593i 0.406091 0.384670i
\(349\) 20.9894 + 15.9557i 1.12354 + 0.854090i 0.990567 0.137030i \(-0.0437556\pi\)
0.132970 + 0.991120i \(0.457549\pi\)
\(350\) 0.0456875 + 0.0100566i 0.00244210 + 0.000537547i
\(351\) 1.22190 1.43853i 0.0652200 0.0767830i
\(352\) −17.8326 1.93941i −0.950479 0.103371i
\(353\) −22.7679 −1.21182 −0.605908 0.795535i \(-0.707190\pi\)
−0.605908 + 0.795535i \(0.707190\pi\)
\(354\) −11.3145 8.24314i −0.601357 0.438118i
\(355\) −20.4030 −1.08288
\(356\) 11.5161 + 1.25245i 0.610354 + 0.0663800i
\(357\) −4.82787 + 5.68381i −0.255518 + 0.300819i
\(358\) −34.0641 7.49807i −1.80034 0.396285i
\(359\) 24.1403 + 18.3510i 1.27408 + 0.968527i 0.999977 + 0.00682598i \(0.00217279\pi\)
0.274099 + 0.961701i \(0.411620\pi\)
\(360\) −2.00334 + 1.89767i −0.105585 + 0.100016i
\(361\) 5.18873 13.0227i 0.273091 0.685407i
\(362\) 33.8965 + 11.4211i 1.78156 + 0.600278i
\(363\) −0.528681 3.22481i −0.0277485 0.169259i
\(364\) 2.24199 + 2.12373i 0.117512 + 0.111313i
\(365\) −8.44931 + 3.90907i −0.442257 + 0.204610i
\(366\) −19.2232 + 14.6131i −1.00481 + 0.763840i
\(367\) −0.839281 + 5.11939i −0.0438101 + 0.267230i −0.999644 0.0266773i \(-0.991507\pi\)
0.955834 + 0.293907i \(0.0949556\pi\)
\(368\) 10.7751 20.3239i 0.561689 1.05946i
\(369\) −7.43900 + 1.63745i −0.387259 + 0.0852421i
\(370\) −1.59501 0.737928i −0.0829204 0.0383631i
\(371\) −3.20728 8.04968i −0.166514 0.417918i
\(372\) 0.264730 + 4.88265i 0.0137256 + 0.253154i
\(373\) 2.75936 + 4.06975i 0.142874 + 0.210723i 0.892393 0.451260i \(-0.149025\pi\)
−0.749519 + 0.661983i \(0.769715\pi\)
\(374\) −19.7604 23.2638i −1.02179 1.20294i
\(375\) 5.24777 + 9.89834i 0.270993 + 0.511148i
\(376\) 5.72394 1.92862i 0.295190 0.0994609i
\(377\) −0.806873 + 14.8819i −0.0415561 + 0.766456i
\(378\) −1.93351 + 1.16336i −0.0994491 + 0.0598366i
\(379\) −9.79618 35.2826i −0.503196 1.81235i −0.579131 0.815235i \(-0.696608\pi\)
0.0759351 0.997113i \(-0.475806\pi\)
\(380\) −1.76073 + 6.34158i −0.0903237 + 0.325316i
\(381\) 1.55141 + 0.933454i 0.0794812 + 0.0478223i
\(382\) −7.76460 + 11.4519i −0.397271 + 0.585932i
\(383\) 22.4810 2.44496i 1.14873 0.124931i 0.486114 0.873895i \(-0.338414\pi\)
0.662611 + 0.748964i \(0.269448\pi\)
\(384\) −9.26900 + 1.00806i −0.473007 + 0.0514426i
\(385\) −4.31136 + 6.35878i −0.219727 + 0.324073i
\(386\) −15.6938 9.44267i −0.798795 0.480619i
\(387\) 1.51556 5.45855i 0.0770401 0.277473i
\(388\) −2.82387 10.1707i −0.143360 0.516337i
\(389\) −16.3838 + 9.85782i −0.830693 + 0.499811i −0.866282 0.499555i \(-0.833497\pi\)
0.0355892 + 0.999367i \(0.488669\pi\)
\(390\) −0.415554 + 7.66445i −0.0210424 + 0.388105i
\(391\) 26.8141 9.03472i 1.35605 0.456905i
\(392\) −3.16673 5.97308i −0.159944 0.301686i
\(393\) 10.9689 + 12.9136i 0.553307 + 0.651403i
\(394\) −20.6598 30.4709i −1.04083 1.53510i
\(395\) −0.0328792 0.606422i −0.00165433 0.0305124i
\(396\) −1.36009 3.41358i −0.0683472 0.171539i
\(397\) 35.0824 + 16.2308i 1.76073 + 0.814602i 0.982409 + 0.186741i \(0.0597924\pi\)
0.778325 + 0.627862i \(0.216070\pi\)
\(398\) −6.50216 + 1.43123i −0.325924 + 0.0717412i
\(399\) 1.29445 2.44159i 0.0648034 0.122232i
\(400\) −0.0164234 + 0.100178i −0.000821170 + 0.00500892i
\(401\) 8.28414 6.29744i 0.413690 0.314479i −0.377545 0.925991i \(-0.623232\pi\)
0.791235 + 0.611512i \(0.209438\pi\)
\(402\) −7.21726 + 3.33906i −0.359964 + 0.166537i
\(403\) −5.07041 4.80295i −0.252575 0.239252i
\(404\) −2.63835 16.0932i −0.131263 0.800668i
\(405\) −2.11462 0.712498i −0.105076 0.0354043i
\(406\) 6.59518 16.5527i 0.327313 0.821495i
\(407\) −0.872401 + 0.826382i −0.0432433 + 0.0409622i
\(408\) −5.92954 4.50752i −0.293556 0.223155i
\(409\) 7.97822 + 1.75614i 0.394497 + 0.0868354i 0.407789 0.913076i \(-0.366300\pi\)
−0.0132916 + 0.999912i \(0.504231\pi\)
\(410\) 20.0539 23.6093i 0.990393 1.16598i
\(411\) −21.2193 2.30773i −1.04667 0.113832i
\(412\) −13.5340 −0.666772
\(413\) −9.32776 1.85500i −0.458989 0.0912786i
\(414\) 8.56169 0.420784
\(415\) −26.2134 2.85088i −1.28677 0.139944i
\(416\) −7.88228 + 9.27974i −0.386461 + 0.454976i
\(417\) 13.1629 + 2.89738i 0.644592 + 0.141885i
\(418\) 9.00460 + 6.84512i 0.440429 + 0.334806i
\(419\) −7.99920 + 7.57725i −0.390787 + 0.370173i −0.857718 0.514121i \(-0.828118\pi\)
0.466931 + 0.884294i \(0.345360\pi\)
\(420\) 1.35137 3.39169i 0.0659403 0.165498i
\(421\) −16.6824 5.62096i −0.813051 0.273949i −0.118096 0.993002i \(-0.537679\pi\)
−0.694955 + 0.719054i \(0.744576\pi\)
\(422\) 1.84968 + 11.2826i 0.0900411 + 0.549227i
\(423\) 3.54602 + 3.35897i 0.172413 + 0.163319i
\(424\) 7.85454 3.63390i 0.381450 0.176478i
\(425\) −0.0994066 + 0.0755669i −0.00482193 + 0.00366554i
\(426\) 2.69592 16.4444i 0.130618 0.796733i
\(427\) −7.68417 + 14.4939i −0.371863 + 0.701408i
\(428\) 13.5040 2.97246i 0.652741 0.143679i
\(429\) 4.76325 + 2.20372i 0.229972 + 0.106396i
\(430\) 8.52735 + 21.4020i 0.411225 + 1.03210i
\(431\) 0.0395309 + 0.729104i 0.00190413 + 0.0351197i 0.999331 0.0365707i \(-0.0116434\pi\)
−0.997427 + 0.0716904i \(0.977161\pi\)
\(432\) −2.74794 4.05291i −0.132210 0.194996i
\(433\) 4.66040 + 5.48665i 0.223965 + 0.263672i 0.862656 0.505792i \(-0.168800\pi\)
−0.638691 + 0.769463i \(0.720524\pi\)
\(434\) 3.91112 + 7.37716i 0.187740 + 0.354115i
\(435\) 16.6977 5.62611i 0.800593 0.269751i
\(436\) −1.20025 + 22.1373i −0.0574814 + 1.06018i
\(437\) −8.98441 + 5.40574i −0.429782 + 0.258592i
\(438\) −2.03418 7.32647i −0.0971971 0.350072i
\(439\) 5.19988 18.7283i 0.248177 0.893852i −0.729543 0.683935i \(-0.760267\pi\)
0.977719 0.209917i \(-0.0673192\pi\)
\(440\) −6.57476 3.95590i −0.313439 0.188590i
\(441\) 3.06800 4.52496i 0.146095 0.215474i
\(442\) −20.5969 + 2.24004i −0.979693 + 0.106548i
\(443\) 25.2701 2.74829i 1.20062 0.130575i 0.514127 0.857714i \(-0.328116\pi\)
0.686490 + 0.727139i \(0.259150\pi\)
\(444\) 0.320475 0.472666i 0.0152091 0.0224317i
\(445\) 16.7609 + 10.0847i 0.794541 + 0.478059i
\(446\) −13.8631 + 49.9305i −0.656438 + 2.36428i
\(447\) 1.47769 + 5.32214i 0.0698921 + 0.251729i
\(448\) 2.08288 1.25323i 0.0984070 0.0592095i
\(449\) −0.845054 + 15.5861i −0.0398806 + 0.735554i 0.908397 + 0.418110i \(0.137307\pi\)
−0.948277 + 0.317444i \(0.897176\pi\)
\(450\) −0.0358053 + 0.0120642i −0.00168788 + 0.000568712i
\(451\) −9.92118 18.7133i −0.467170 0.881176i
\(452\) −5.82260 6.85490i −0.273872 0.322427i
\(453\) −2.40092 3.54110i −0.112805 0.166375i
\(454\) 1.21785 + 22.4619i 0.0571564 + 1.05419i
\(455\) 1.93015 + 4.84432i 0.0904869 + 0.227105i
\(456\) 2.50500 + 1.15893i 0.117307 + 0.0542721i
\(457\) −6.36995 + 1.40213i −0.297974 + 0.0655890i −0.361441 0.932395i \(-0.617715\pi\)
0.0634673 + 0.997984i \(0.479784\pi\)
\(458\) 22.4354 42.3177i 1.04834 1.97738i
\(459\) 0.974426 5.94373i 0.0454823 0.277430i
\(460\) −11.0280 + 8.38326i −0.514183 + 0.390872i
\(461\) 35.7627 16.5456i 1.66563 0.770604i 0.665936 0.746009i \(-0.268032\pi\)
0.999697 0.0245951i \(-0.00782966\pi\)
\(462\) −4.55536 4.31506i −0.211934 0.200755i
\(463\) 1.73908 + 10.6079i 0.0808218 + 0.492991i 0.995956 + 0.0898421i \(0.0286362\pi\)
−0.915134 + 0.403149i \(0.867915\pi\)
\(464\) 36.6416 + 12.3460i 1.70104 + 0.573148i
\(465\) −3.05622 + 7.67054i −0.141729 + 0.355713i
\(466\) −24.2398 + 22.9611i −1.12289 + 1.06365i
\(467\) 12.4259 + 9.44591i 0.575001 + 0.437105i 0.851833 0.523814i \(-0.175491\pi\)
−0.276831 + 0.960918i \(0.589284\pi\)
\(468\) −2.43586 0.536173i −0.112598 0.0247846i
\(469\) −3.49753 + 4.11762i −0.161501 + 0.190134i
\(470\) −19.7470 2.14762i −0.910861 0.0990621i
\(471\) 20.0503 0.923870
\(472\) 1.34562 9.40291i 0.0619374 0.432804i
\(473\) 15.7526 0.724306
\(474\) 0.493107 + 0.0536286i 0.0226491 + 0.00246324i
\(475\) 0.0299559 0.0352668i 0.00137447 0.00161815i
\(476\) 9.62439 + 2.11849i 0.441133 + 0.0971007i
\(477\) 5.57139 + 4.23526i 0.255096 + 0.193919i
\(478\) 34.6019 32.7767i 1.58265 1.49917i
\(479\) 1.33877 3.36006i 0.0611701 0.153525i −0.895215 0.445635i \(-0.852978\pi\)
0.956385 + 0.292110i \(0.0943572\pi\)
\(480\) 13.6411 + 4.59622i 0.622628 + 0.209788i
\(481\) 0.131957 + 0.804904i 0.00601673 + 0.0367005i
\(482\) 35.3099 + 33.4473i 1.60832 + 1.52348i
\(483\) 5.27900 2.44232i 0.240203 0.111130i
\(484\) −3.43781 + 2.61335i −0.156264 + 0.118789i
\(485\) 2.88358 17.5891i 0.130937 0.798679i
\(486\) 0.853669 1.61019i 0.0387232 0.0730397i
\(487\) −37.2473 + 8.19875i −1.68784 + 0.371521i −0.952109 0.305758i \(-0.901090\pi\)
−0.735726 + 0.677279i \(0.763159\pi\)
\(488\) −14.8703 6.87973i −0.673146 0.311431i
\(489\) 3.83411 + 9.62290i 0.173385 + 0.435163i
\(490\) 1.20366 + 22.2002i 0.0543759 + 1.00290i
\(491\) −20.8979 30.8221i −0.943108 1.39098i −0.920289 0.391240i \(-0.872046\pi\)
−0.0228190 0.999740i \(-0.507264\pi\)
\(492\) 6.51639 + 7.67168i 0.293781 + 0.345866i
\(493\) 22.2776 + 42.0199i 1.00333 + 1.89248i
\(494\) 7.27564 2.45145i 0.327346 0.110296i
\(495\) 0.335925 6.19577i 0.0150987 0.278479i
\(496\) −15.5255 + 9.34141i −0.697117 + 0.419442i
\(497\) −3.02870 10.9084i −0.135856 0.489308i
\(498\) 5.76141 20.7507i 0.258175 0.929862i
\(499\) −18.0090 10.8357i −0.806195 0.485072i 0.0518444 0.998655i \(-0.483490\pi\)
−0.858040 + 0.513584i \(0.828318\pi\)
\(500\) 8.30830 12.2538i 0.371559 0.548008i
\(501\) −3.77562 + 0.410624i −0.168682 + 0.0183453i
\(502\) 15.0266 1.63424i 0.670669 0.0729397i
\(503\) −19.3275 + 28.5060i −0.861773 + 1.27102i 0.0993930 + 0.995048i \(0.468310\pi\)
−0.961166 + 0.275972i \(0.911000\pi\)
\(504\) −1.31196 0.789381i −0.0584394 0.0351618i
\(505\) 7.36716 26.5341i 0.327834 1.18075i
\(506\) 6.36912 + 22.9395i 0.283142 + 1.01978i
\(507\) −8.08668 + 4.86559i −0.359142 + 0.216089i
\(508\) 0.129534 2.38911i 0.00574713 0.106000i
\(509\) 11.5598 3.89495i 0.512379 0.172640i −0.0512230 0.998687i \(-0.516312\pi\)
0.563602 + 0.826047i \(0.309415\pi\)
\(510\) 11.4734 + 21.6411i 0.508049 + 0.958282i
\(511\) −3.34421 3.93711i −0.147939 0.174167i
\(512\) 10.9302 + 16.1209i 0.483052 + 0.712449i
\(513\) 0.120836 + 2.22868i 0.00533503 + 0.0983988i
\(514\) −6.22469 15.6228i −0.274559 0.689092i
\(515\) −20.7413 9.59596i −0.913972 0.422848i
\(516\) −7.31111 + 1.60930i −0.321854 + 0.0708454i
\(517\) −6.36182 + 11.9997i −0.279793 + 0.527745i
\(518\) 0.157761 0.962302i 0.00693164 0.0422811i
\(519\) 6.19185 4.70692i 0.271792 0.206611i
\(520\) −4.72689 + 2.18689i −0.207288 + 0.0959015i
\(521\) −7.71060 7.30387i −0.337808 0.319988i 0.499925 0.866069i \(-0.333361\pi\)
−0.837733 + 0.546080i \(0.816119\pi\)
\(522\) 2.32819 + 14.2014i 0.101902 + 0.621577i
\(523\) −42.4617 14.3070i −1.85672 0.625601i −0.992462 0.122550i \(-0.960893\pi\)
−0.864256 0.503051i \(-0.832211\pi\)
\(524\) 8.28738 20.7998i 0.362036 0.908642i
\(525\) −0.0186355 + 0.0176525i −0.000813319 + 0.000770417i
\(526\) 31.1759 + 23.6993i 1.35934 + 1.03334i
\(527\) −21.7662 4.79110i −0.948151 0.208704i
\(528\) 8.81482 10.3776i 0.383616 0.451628i
\(529\) 0.925173 + 0.100619i 0.0402249 + 0.00437472i
\(530\) −28.4608 −1.23626
\(531\) 7.22764 2.60024i 0.313653 0.112841i
\(532\) −3.65186 −0.158328
\(533\) −14.2924 1.55440i −0.619074 0.0673284i
\(534\) −10.3427 + 12.1763i −0.447572 + 0.526922i
\(535\) 22.8029 + 5.01930i 0.985857 + 0.217003i
\(536\) −4.29563 3.26545i −0.185543 0.141046i
\(537\) 13.8944 13.1615i 0.599588 0.567960i
\(538\) −2.59832 + 6.52129i −0.112021 + 0.281153i
\(539\) 14.4061 + 4.85399i 0.620515 + 0.209076i
\(540\) 0.477054 + 2.90990i 0.0205291 + 0.125222i
\(541\) −17.9733 17.0252i −0.772733 0.731972i 0.195858 0.980632i \(-0.437251\pi\)
−0.968591 + 0.248661i \(0.920010\pi\)
\(542\) 16.7607 7.75434i 0.719935 0.333077i
\(543\) −15.6245 + 11.8774i −0.670510 + 0.509708i
\(544\) −6.28588 + 38.3422i −0.269505 + 1.64391i
\(545\) −17.5353 + 33.0751i −0.751131 + 1.41678i
\(546\) −4.15945 + 0.915563i −0.178008 + 0.0391825i
\(547\) −24.0581 11.1305i −1.02865 0.475905i −0.168370 0.985724i \(-0.553850\pi\)
−0.860282 + 0.509819i \(0.829712\pi\)
\(548\) 10.4400 + 26.2025i 0.445977 + 1.11932i
\(549\) −0.717311 13.2300i −0.0306141 0.564644i
\(550\) −0.0589597 0.0869590i −0.00251405 0.00370795i
\(551\) −11.4097 13.4325i −0.486069 0.572245i
\(552\) 2.72119 + 5.13270i 0.115821 + 0.218462i
\(553\) 0.319340 0.107598i 0.0135797 0.00457553i
\(554\) −1.07297 + 19.7897i −0.0455861 + 0.840786i
\(555\) 0.826272 0.497152i 0.0350733 0.0211029i
\(556\) −4.76488 17.1615i −0.202076 0.727812i
\(557\) −11.0032 + 39.6300i −0.466221 + 1.67918i 0.239670 + 0.970854i \(0.422961\pi\)
−0.705891 + 0.708321i \(0.749453\pi\)
\(558\) −5.77845 3.47678i −0.244621 0.147184i
\(559\) 6.00042 8.84995i 0.253791 0.374313i
\(560\) 13.4494 1.46271i 0.568342 0.0618109i
\(561\) 16.6500 1.81080i 0.702965 0.0764521i
\(562\) 17.6275 25.9986i 0.743571 1.09669i
\(563\) −32.4987 19.5538i −1.36966 0.824095i −0.374970 0.927037i \(-0.622347\pi\)
−0.994687 + 0.102942i \(0.967174\pi\)
\(564\) 1.72676 6.21922i 0.0727096 0.261876i
\(565\) −4.06304 14.6338i −0.170934 0.615647i
\(566\) 42.8080 25.7567i 1.79935 1.08264i
\(567\) 0.0670322 1.23634i 0.00281509 0.0519212i
\(568\) 10.7152 3.61037i 0.449600 0.151488i
\(569\) −11.1103 20.9563i −0.465769 0.878533i −0.999460 0.0328537i \(-0.989540\pi\)
0.533691 0.845679i \(-0.320804\pi\)
\(570\) −5.87620 6.91800i −0.246127 0.289763i
\(571\) −9.41484 13.8858i −0.393999 0.581105i 0.578016 0.816026i \(-0.303827\pi\)
−0.972014 + 0.234921i \(0.924517\pi\)
\(572\) −0.375479 6.92530i −0.0156996 0.289561i
\(573\) −2.81003 7.05264i −0.117391 0.294628i
\(574\) 15.5995 + 7.21708i 0.651109 + 0.301235i
\(575\) 0.0951160 0.0209366i 0.00396661 0.000873118i
\(576\) −0.919618 + 1.73458i −0.0383174 + 0.0722743i
\(577\) 1.94536 11.8662i 0.0809865 0.493996i −0.914922 0.403630i \(-0.867748\pi\)
0.995909 0.0903655i \(-0.0288035\pi\)
\(578\) −27.9691 + 21.2616i −1.16336 + 0.884365i
\(579\) 9.12092 4.21979i 0.379053 0.175368i
\(580\) −16.9043 16.0126i −0.701911 0.664885i
\(581\) −2.36700 14.4381i −0.0981997 0.598992i
\(582\) 13.7954 + 4.64821i 0.571837 + 0.192674i
\(583\) −7.20300 + 18.0782i −0.298318 + 0.748721i
\(584\) 3.74566 3.54808i 0.154997 0.146821i
\(585\) −3.35288 2.54879i −0.138624 0.105380i
\(586\) 7.89487 + 1.73779i 0.326134 + 0.0717876i
\(587\) −0.558534 + 0.657557i −0.0230532 + 0.0271403i −0.773568 0.633714i \(-0.781530\pi\)
0.750515 + 0.660854i \(0.229806\pi\)
\(588\) −7.18206 0.781096i −0.296183 0.0322119i
\(589\) 8.25894 0.340304
\(590\) −17.0001 + 26.2062i −0.699884 + 1.07889i
\(591\) 20.2001 0.830921
\(592\) 2.10368 + 0.228789i 0.0864606 + 0.00940315i
\(593\) 11.6514 13.7170i 0.478464 0.563291i −0.468982 0.883208i \(-0.655379\pi\)
0.947446 + 0.319917i \(0.103655\pi\)
\(594\) 4.94926 + 1.08941i 0.203071 + 0.0446992i
\(595\) 13.2477 + 10.0706i 0.543101 + 0.412855i
\(596\) 5.29909 5.01956i 0.217059 0.205609i
\(597\) 1.35217 3.39369i 0.0553406 0.138894i
\(598\) 15.3137 + 5.15979i 0.626224 + 0.210999i
\(599\) 0.883327 + 5.38805i 0.0360917 + 0.220150i 0.998714 0.0506974i \(-0.0161444\pi\)
−0.962622 + 0.270847i \(0.912696\pi\)
\(600\) −0.0186125 0.0176307i −0.000759853 0.000719771i
\(601\) −34.6134 + 16.0139i −1.41191 + 0.653219i −0.969836 0.243760i \(-0.921619\pi\)
−0.442074 + 0.896979i \(0.645757\pi\)
\(602\) −10.1767 + 7.73609i −0.414770 + 0.315300i
\(603\) 0.705919 4.30592i 0.0287472 0.175350i
\(604\) −2.64820 + 4.99503i −0.107754 + 0.203245i
\(605\) −7.12150 + 1.56756i −0.289530 + 0.0637304i
\(606\) 20.4124 + 9.44380i 0.829198 + 0.383628i
\(607\) 6.64487 + 16.6774i 0.269707 + 0.676914i 0.999981 0.00624126i \(-0.00198667\pi\)
−0.730273 + 0.683155i \(0.760607\pi\)
\(608\) −0.779494 14.3769i −0.0316126 0.583061i
\(609\) 5.48663 + 8.09218i 0.222330 + 0.327912i
\(610\) 34.8826 + 41.0670i 1.41236 + 1.66275i
\(611\) 4.31820 + 8.14499i 0.174696 + 0.329511i
\(612\) −7.54263 + 2.54141i −0.304893 + 0.102730i
\(613\) 0.00639038 0.117864i 0.000258105 0.00476046i −0.998402 0.0565190i \(-0.982000\pi\)
0.998660 + 0.0517585i \(0.0164826\pi\)
\(614\) 10.2193 6.14874i 0.412417 0.248143i
\(615\) 4.54717 + 16.3774i 0.183360 + 0.660401i
\(616\) 1.13902 4.10239i 0.0458925 0.165290i
\(617\) 7.16033 + 4.30823i 0.288264 + 0.173443i 0.652340 0.757927i \(-0.273787\pi\)
−0.364076 + 0.931369i \(0.618615\pi\)
\(618\) 10.4747 15.4491i 0.421356 0.621453i
\(619\) −1.29152 + 0.140462i −0.0519108 + 0.00564564i −0.134038 0.990976i \(-0.542794\pi\)
0.0821268 + 0.996622i \(0.473829\pi\)
\(620\) 10.8473 1.17972i 0.435639 0.0473786i
\(621\) −2.63635 + 3.88832i −0.105793 + 0.156033i
\(622\) −32.9400 19.8193i −1.32077 0.794683i
\(623\) −2.90368 + 10.4581i −0.116333 + 0.418995i
\(624\) −2.47253 8.90524i −0.0989803 0.356495i
\(625\) 21.3322 12.8352i 0.853290 0.513407i
\(626\) 1.34410 24.7905i 0.0537211 0.990828i
\(627\) −5.88146 + 1.98170i −0.234883 + 0.0791413i
\(628\) −12.4108 23.4093i −0.495246 0.934133i
\(629\) 1.68506 + 1.98380i 0.0671876 + 0.0790993i
\(630\) 2.82572 + 4.16762i 0.112579 + 0.166042i
\(631\) 1.41407 + 26.0809i 0.0562931 + 1.03826i 0.881124 + 0.472885i \(0.156787\pi\)
−0.824831 + 0.565379i \(0.808730\pi\)
\(632\) 0.124575 + 0.312660i 0.00495534 + 0.0124370i
\(633\) −5.69357 2.63413i −0.226299 0.104697i
\(634\) −11.8367 + 2.60546i −0.470096 + 0.103476i
\(635\) 1.89246 3.56955i 0.0750999 0.141653i
\(636\) 1.49618 9.12631i 0.0593275 0.361882i
\(637\) 8.21452 6.24452i 0.325471 0.247417i
\(638\) −36.3180 + 16.8025i −1.43784 + 0.665217i
\(639\) 6.63813 + 6.28797i 0.262601 + 0.248748i
\(640\) 3.36588 + 20.5310i 0.133048 + 0.811558i
\(641\) 26.5608 + 8.94938i 1.04909 + 0.353479i 0.790470 0.612501i \(-0.209836\pi\)
0.258618 + 0.965980i \(0.416733\pi\)
\(642\) −7.05847 + 17.7154i −0.278576 + 0.699172i
\(643\) 0.0688673 0.0652346i 0.00271586 0.00257260i −0.686340 0.727281i \(-0.740784\pi\)
0.689056 + 0.724708i \(0.258025\pi\)
\(644\) −6.11910 4.65162i −0.241126 0.183299i
\(645\) −12.3456 2.71747i −0.486107 0.107000i
\(646\) 15.8611 18.6731i 0.624046 0.734683i
\(647\) −12.9965 1.41345i −0.510945 0.0555686i −0.150984 0.988536i \(-0.548244\pi\)
−0.359960 + 0.932968i \(0.617210\pi\)
\(648\) 1.23663 0.0485793
\(649\) 12.3436 + 17.4308i 0.484528 + 0.684218i
\(650\) −0.0713130 −0.00279713
\(651\) −4.55469 0.495352i −0.178512 0.0194144i
\(652\) 8.86175 10.4329i 0.347053 0.408582i
\(653\) 0.307829 + 0.0677584i 0.0120463 + 0.00265159i 0.220990 0.975276i \(-0.429071\pi\)
−0.208943 + 0.977928i \(0.567002\pi\)
\(654\) −24.3408 18.5034i −0.951800 0.723540i
\(655\) 27.4483 26.0004i 1.07249 1.01592i
\(656\) −13.8055 + 34.6492i −0.539015 + 1.35282i
\(657\) 3.95372 + 1.33216i 0.154249 + 0.0519726i
\(658\) −1.78310 10.8764i −0.0695125 0.424007i
\(659\) −25.9035 24.5371i −1.00906 0.955829i −0.0100303 0.999950i \(-0.503193\pi\)
−0.999026 + 0.0441206i \(0.985951\pi\)
\(660\) −7.44167 + 3.44288i −0.289667 + 0.134014i
\(661\) 32.0536 24.3665i 1.24674 0.947748i 0.246968 0.969024i \(-0.420566\pi\)
0.999774 + 0.0212755i \(0.00677272\pi\)
\(662\) −2.92556 + 17.8451i −0.113705 + 0.693571i
\(663\) 5.32494 10.0439i 0.206803 0.390072i
\(664\) 14.2711 3.14132i 0.553828 0.121907i
\(665\) −5.59661 2.58927i −0.217027 0.100408i
\(666\) 0.291515 + 0.731647i 0.0112960 + 0.0283507i
\(667\) −2.00830 37.0409i −0.0777618 1.43423i
\(668\) 2.81646 + 4.15398i 0.108972 + 0.160722i
\(669\) −18.4073 21.6708i −0.711667 0.837840i
\(670\) 8.31183 + 15.6778i 0.321114 + 0.605686i
\(671\) 34.9138 11.7638i 1.34783 0.454138i
\(672\) −0.432415 + 7.97542i −0.0166808 + 0.307659i
\(673\) 19.5406 11.7572i 0.753233 0.453205i −0.0864678 0.996255i \(-0.527558\pi\)
0.839701 + 0.543049i \(0.182730\pi\)
\(674\) −5.54282 19.9634i −0.213501 0.768962i
\(675\) 0.00554629 0.0199759i 0.000213477 0.000768874i
\(676\) 10.6862 + 6.42970i 0.411009 + 0.247296i
\(677\) −6.61829 + 9.76125i −0.254362 + 0.375155i −0.933334 0.359008i \(-0.883115\pi\)
0.678973 + 0.734163i \(0.262425\pi\)
\(678\) 12.3313 1.34111i 0.473582 0.0515052i
\(679\) 9.83196 1.06929i 0.377316 0.0410356i
\(680\) −9.32712 + 13.7565i −0.357679 + 0.527537i
\(681\) −10.5761 6.36346i −0.405279 0.243848i
\(682\) 5.01675 18.0687i 0.192101 0.691887i
\(683\) −6.74938 24.3091i −0.258258 0.930161i −0.973006 0.230779i \(-0.925872\pi\)
0.714748 0.699382i \(-0.246541\pi\)
\(684\) 2.52726 1.52060i 0.0966320 0.0581416i
\(685\) −2.57855 + 47.5586i −0.0985215 + 1.81712i
\(686\) −26.6593 + 8.98257i −1.01786 + 0.342956i
\(687\) 12.3103 + 23.2197i 0.469668 + 0.885888i
\(688\) −17.9583 21.1422i −0.684655 0.806039i
\(689\) 7.41273 + 10.9330i 0.282403 + 0.416513i
\(690\) −1.03431 19.0768i −0.0393756 0.726241i
\(691\) −0.650916 1.63368i −0.0247620 0.0621480i 0.916076 0.401005i \(-0.131339\pi\)
−0.940838 + 0.338857i \(0.889960\pi\)
\(692\) −9.32811 4.31564i −0.354602 0.164056i
\(693\) 3.36240 0.740121i 0.127727 0.0281149i
\(694\) −7.71971 + 14.5609i −0.293036 + 0.552725i
\(695\) 4.86564 29.6791i 0.184564 1.12579i
\(696\) −7.77368 + 5.90940i −0.294661 + 0.223995i
\(697\) −41.6380 + 19.2638i −1.57715 + 0.729668i
\(698\) 34.8847 + 33.0445i 1.32040 + 1.25075i
\(699\) −2.96388 18.0789i −0.112104 0.683805i
\(700\) 0.0321448 + 0.0108309i 0.00121496 + 0.000409368i
\(701\) −3.86832 + 9.70875i −0.146104 + 0.366695i −0.983756 0.179510i \(-0.942549\pi\)
0.837652 + 0.546205i \(0.183928\pi\)
\(702\) 2.49729 2.36556i 0.0942543 0.0892824i
\(703\) −0.767860 0.583712i −0.0289604 0.0220151i
\(704\) −5.33161 1.17358i −0.200943 0.0442308i
\(705\) 7.05591 8.30686i 0.265741 0.312855i
\(706\) −41.2511 4.48632i −1.55250 0.168845i
\(707\) 15.2799 0.574661
\(708\) −7.50965 6.82896i −0.282230 0.256648i
\(709\) −33.6144 −1.26242 −0.631208 0.775613i \(-0.717441\pi\)
−0.631208 + 0.775613i \(0.717441\pi\)
\(710\) −36.9663 4.02033i −1.38732 0.150880i
\(711\) −0.176195 + 0.207432i −0.00660782 + 0.00777933i
\(712\) −10.5869 2.33036i −0.396761 0.0873338i
\(713\) 13.8388 + 10.5199i 0.518266 + 0.393975i
\(714\) −9.86713 + 9.34665i −0.369268 + 0.349789i
\(715\) 4.33479 10.8795i 0.162112 0.406870i
\(716\) −23.9668 8.07536i −0.895682 0.301790i
\(717\) 4.23089 + 25.8073i 0.158005 + 0.963791i
\(718\) 40.1215 + 38.0051i 1.49732 + 1.41834i
\(719\) −35.3370 + 16.3486i −1.31785 + 0.609702i −0.947668 0.319258i \(-0.896566\pi\)
−0.370180 + 0.928960i \(0.620704\pi\)
\(720\) −8.69855 + 6.61246i −0.324176 + 0.246432i
\(721\) 2.05152 12.5137i 0.0764025 0.466034i
\(722\) 11.9670 22.5722i 0.445367 0.840052i
\(723\) −26.0629 + 5.73689i −0.969291 + 0.213357i
\(724\) 23.5385 + 10.8901i 0.874801 + 0.404726i
\(725\) 0.0605928 + 0.152077i 0.00225036 + 0.00564798i
\(726\) −0.322431 5.94690i −0.0119666 0.220710i
\(727\) −10.2987 15.1894i −0.381957 0.563344i 0.587308 0.809363i \(-0.300188\pi\)
−0.969265 + 0.246019i \(0.920877\pi\)
\(728\) −1.87088 2.20258i −0.0693396 0.0816329i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) −16.0788 + 5.41757i −0.595102 + 0.200513i
\(731\) 1.84727 34.0709i 0.0683238 1.26016i
\(732\) −15.0024 + 9.02666i −0.554506 + 0.333635i
\(733\) 6.99991 + 25.2114i 0.258548 + 0.931205i 0.972863 + 0.231381i \(0.0743244\pi\)
−0.714316 + 0.699824i \(0.753262\pi\)
\(734\) −2.52937 + 9.10995i −0.0933606 + 0.336254i
\(735\) −10.4529 6.28933i −0.385563 0.231985i
\(736\) 17.0067 25.0830i 0.626875 0.924572i
\(737\) 12.0621 1.31183i 0.444311 0.0483218i
\(738\) −13.8007 + 1.50091i −0.508009 + 0.0552493i
\(739\) 10.1733 15.0046i 0.374232 0.551952i −0.593208 0.805049i \(-0.702139\pi\)
0.967441 + 0.253097i \(0.0814493\pi\)
\(740\) −1.09189 0.656967i −0.0401386 0.0241506i
\(741\) −1.12701 + 4.05911i −0.0414017 + 0.149115i
\(742\) −4.22482 15.2164i −0.155098 0.558612i
\(743\) −7.17794 + 4.31882i −0.263333 + 0.158442i −0.641097 0.767460i \(-0.721521\pi\)
0.377764 + 0.925902i \(0.376693\pi\)
\(744\) 0.247734 4.56919i 0.00908238 0.167515i
\(745\) 11.6800 3.93546i 0.427924 0.144184i
\(746\) 4.19749 + 7.91730i 0.153681 + 0.289873i
\(747\) 7.64993 + 9.00620i 0.279896 + 0.329520i
\(748\) −12.4203 18.3185i −0.454130 0.669792i
\(749\) 0.701399 + 12.9366i 0.0256286 + 0.472691i
\(750\) 7.55750 + 18.9679i 0.275961 + 0.692610i
\(751\) −39.4813 18.2660i −1.44069 0.666536i −0.464928 0.885349i \(-0.653920\pi\)
−0.975767 + 0.218812i \(0.929782\pi\)
\(752\) 23.3579 5.14145i 0.851773 0.187489i
\(753\) −3.88484 + 7.32759i −0.141572 + 0.267032i
\(754\) −4.39431 + 26.8041i −0.160031 + 0.976147i
\(755\) −7.60007 + 5.77742i −0.276595 + 0.210262i
\(756\) −1.48495 + 0.687010i −0.0540071 + 0.0249863i
\(757\) 16.4318 + 15.5650i 0.597223 + 0.565720i 0.925446 0.378881i \(-0.123691\pi\)
−0.328222 + 0.944601i \(0.606449\pi\)
\(758\) −10.7965 65.8555i −0.392145 2.39198i
\(759\) −12.3792 4.17105i −0.449338 0.151400i
\(760\) 2.27967 5.72153i 0.0826922 0.207542i
\(761\) −9.87780 + 9.35675i −0.358070 + 0.339182i −0.845495 0.533983i \(-0.820695\pi\)
0.487426 + 0.873165i \(0.337936\pi\)
\(762\) 2.62692 + 1.99693i 0.0951634 + 0.0723413i
\(763\) −20.2864 4.46538i −0.734419 0.161658i
\(764\) −6.49479 + 7.64626i −0.234973 + 0.276632i
\(765\) −13.3613 1.45313i −0.483078 0.0525379i
\(766\) 41.2129 1.48908
\(767\) 14.4946 0.295065i 0.523371 0.0106542i
\(768\) −20.9188 −0.754842
\(769\) −2.10286 0.228700i −0.0758311 0.00824713i 0.0701248 0.997538i \(-0.477660\pi\)
−0.145956 + 0.989291i \(0.546626\pi\)
\(770\) −9.06431 + 10.6713i −0.326655 + 0.384568i
\(771\) 9.01188 + 1.98366i 0.324555 + 0.0714399i
\(772\) −10.5724 8.03695i −0.380510 0.289256i