Properties

Label 585.2.bt.b.571.30
Level $585$
Weight $2$
Character 585.571
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 571.30
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.30

$q$-expansion

\(f(q)\) \(=\) \(q+(0.231678 - 0.133759i) q^{2} +(1.70348 + 0.313309i) q^{3} +(-0.964217 + 1.67007i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(0.436567 - 0.155269i) q^{6} +(-3.30805 + 1.90990i) q^{7} +1.05093i q^{8} +(2.80367 + 1.06743i) q^{9} +O(q^{10})\) \(q+(0.231678 - 0.133759i) q^{2} +(1.70348 + 0.313309i) q^{3} +(-0.964217 + 1.67007i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(0.436567 - 0.155269i) q^{6} +(-3.30805 + 1.90990i) q^{7} +1.05093i q^{8} +(2.80367 + 1.06743i) q^{9} -0.267519 q^{10} +(-4.13207 + 2.38565i) q^{11} +(-2.16577 + 2.54283i) q^{12} +(3.37175 - 1.27721i) q^{13} +(-0.510935 + 0.884965i) q^{14} +(-1.31860 - 1.12307i) q^{15} +(-1.78786 - 3.09667i) q^{16} -4.49245 q^{17} +(0.792329 - 0.127717i) q^{18} -0.832616i q^{19} +(1.67007 - 0.964217i) q^{20} +(-6.23357 + 2.21703i) q^{21} +(-0.638207 + 1.10541i) q^{22} +(-2.95117 + 5.11158i) q^{23} +(-0.329266 + 1.79024i) q^{24} +(0.500000 + 0.866025i) q^{25} +(0.610322 - 0.746907i) q^{26} +(4.44156 + 2.69676i) q^{27} -7.36623i q^{28} +(1.72114 + 2.98110i) q^{29} +(-0.455713 - 0.0838162i) q^{30} +(4.11935 + 2.37831i) q^{31} +(-2.64868 - 1.52922i) q^{32} +(-7.78634 + 2.76929i) q^{33} +(-1.04080 + 0.600908i) q^{34} +3.81980 q^{35} +(-4.48604 + 3.65310i) q^{36} +1.42971i q^{37} +(-0.111370 - 0.192899i) q^{38} +(6.14387 - 1.11931i) q^{39} +(0.525465 - 0.910132i) q^{40} +(-1.22492 - 0.707206i) q^{41} +(-1.14763 + 1.34744i) q^{42} +(4.57220 + 7.91929i) q^{43} -9.20114i q^{44} +(-1.89434 - 2.32626i) q^{45} +1.57899i q^{46} +(11.2552 - 6.49820i) q^{47} +(-2.07537 - 5.83526i) q^{48} +(3.79544 - 6.57390i) q^{49} +(0.231678 + 0.133759i) q^{50} +(-7.65279 - 1.40753i) q^{51} +(-1.11806 + 6.86258i) q^{52} -8.34571 q^{53} +(1.38973 + 0.0306803i) q^{54} +4.77130 q^{55} +(-2.00717 - 3.47652i) q^{56} +(0.260866 - 1.41834i) q^{57} +(0.797502 + 0.460438i) q^{58} +(0.991497 + 0.572441i) q^{59} +(3.14703 - 1.11927i) q^{60} +(-5.08702 - 8.81097i) q^{61} +1.27248 q^{62} +(-11.3134 + 1.82363i) q^{63} +6.33326 q^{64} +(-3.55863 - 0.579777i) q^{65} +(-1.43351 + 1.68308i) q^{66} +(10.5335 + 6.08150i) q^{67} +(4.33170 - 7.50272i) q^{68} +(-6.62876 + 7.78283i) q^{69} +(0.884965 - 0.510935i) q^{70} +1.12258i q^{71} +(-1.12180 + 2.94647i) q^{72} +6.20857i q^{73} +(0.191238 + 0.331233i) q^{74} +(0.580405 + 1.63191i) q^{75} +(1.39053 + 0.802822i) q^{76} +(9.11272 - 15.7837i) q^{77} +(1.27368 - 1.08112i) q^{78} +(7.21565 + 12.4979i) q^{79} +3.57572i q^{80} +(6.72118 + 5.98546i) q^{81} -0.378382 q^{82} +(7.32055 - 4.22652i) q^{83} +(2.30791 - 12.5482i) q^{84} +(3.89058 + 2.24622i) q^{85} +(2.11856 + 1.22315i) q^{86} +(1.99792 + 5.61750i) q^{87} +(-2.50715 - 4.34252i) q^{88} -5.87702i q^{89} +(-0.750036 - 0.285558i) q^{90} +(-8.71456 + 10.6648i) q^{91} +(-5.69113 - 9.85733i) q^{92} +(6.27207 + 5.34202i) q^{93} +(1.73839 - 3.01098i) q^{94} +(-0.416308 + 0.721066i) q^{95} +(-4.03285 - 3.43484i) q^{96} +(-12.3612 + 7.13676i) q^{97} -2.03070i q^{98} +(-14.1315 + 2.27789i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.231678 0.133759i 0.163821 0.0945822i −0.415848 0.909434i \(-0.636515\pi\)
0.579669 + 0.814852i \(0.303182\pi\)
\(3\) 1.70348 + 0.313309i 0.983503 + 0.180889i
\(4\) −0.964217 + 1.67007i −0.482108 + 0.835036i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) 0.436567 0.155269i 0.178228 0.0633884i
\(7\) −3.30805 + 1.90990i −1.25032 + 0.721875i −0.971174 0.238373i \(-0.923386\pi\)
−0.279150 + 0.960248i \(0.590053\pi\)
\(8\) 1.05093i 0.371560i
\(9\) 2.80367 + 1.06743i 0.934558 + 0.355810i
\(10\) −0.267519 −0.0845969
\(11\) −4.13207 + 2.38565i −1.24587 + 0.719301i −0.970282 0.241976i \(-0.922205\pi\)
−0.275584 + 0.961277i \(0.588871\pi\)
\(12\) −2.16577 + 2.54283i −0.625204 + 0.734053i
\(13\) 3.37175 1.27721i 0.935156 0.354236i
\(14\) −0.510935 + 0.884965i −0.136553 + 0.236517i
\(15\) −1.31860 1.12307i −0.340461 0.289976i
\(16\) −1.78786 3.09667i −0.446965 0.774167i
\(17\) −4.49245 −1.08958 −0.544790 0.838573i \(-0.683390\pi\)
−0.544790 + 0.838573i \(0.683390\pi\)
\(18\) 0.792329 0.127717i 0.186754 0.0301033i
\(19\) 0.832616i 0.191015i −0.995429 0.0955076i \(-0.969553\pi\)
0.995429 0.0955076i \(-0.0304474\pi\)
\(20\) 1.67007 0.964217i 0.373440 0.215605i
\(21\) −6.23357 + 2.21703i −1.36028 + 0.483796i
\(22\) −0.638207 + 1.10541i −0.136066 + 0.235674i
\(23\) −2.95117 + 5.11158i −0.615361 + 1.06584i 0.374960 + 0.927041i \(0.377657\pi\)
−0.990321 + 0.138796i \(0.955677\pi\)
\(24\) −0.329266 + 1.79024i −0.0672112 + 0.365431i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 0.610322 0.746907i 0.119694 0.146480i
\(27\) 4.44156 + 2.69676i 0.854779 + 0.518992i
\(28\) 7.36623i 1.39209i
\(29\) 1.72114 + 2.98110i 0.319608 + 0.553577i 0.980406 0.196986i \(-0.0631154\pi\)
−0.660798 + 0.750564i \(0.729782\pi\)
\(30\) −0.455713 0.0838162i −0.0832014 0.0153027i
\(31\) 4.11935 + 2.37831i 0.739857 + 0.427157i 0.822017 0.569463i \(-0.192849\pi\)
−0.0821605 + 0.996619i \(0.526182\pi\)
\(32\) −2.64868 1.52922i −0.468225 0.270330i
\(33\) −7.78634 + 2.76929i −1.35543 + 0.482071i
\(34\) −1.04080 + 0.600908i −0.178496 + 0.103055i
\(35\) 3.81980 0.645664
\(36\) −4.48604 + 3.65310i −0.747673 + 0.608851i
\(37\) 1.42971i 0.235043i 0.993070 + 0.117522i \(0.0374950\pi\)
−0.993070 + 0.117522i \(0.962505\pi\)
\(38\) −0.111370 0.192899i −0.0180666 0.0312923i
\(39\) 6.14387 1.11931i 0.983807 0.179232i
\(40\) 0.525465 0.910132i 0.0830833 0.143905i
\(41\) −1.22492 0.707206i −0.191300 0.110447i 0.401291 0.915951i \(-0.368562\pi\)
−0.592591 + 0.805504i \(0.701895\pi\)
\(42\) −1.14763 + 1.34744i −0.177084 + 0.207914i
\(43\) 4.57220 + 7.91929i 0.697255 + 1.20768i 0.969415 + 0.245429i \(0.0789287\pi\)
−0.272160 + 0.962252i \(0.587738\pi\)
\(44\) 9.20114i 1.38712i
\(45\) −1.89434 2.32626i −0.282391 0.346778i
\(46\) 1.57899i 0.232809i
\(47\) 11.2552 6.49820i 1.64174 0.947860i 0.661528 0.749920i \(-0.269908\pi\)
0.980214 0.197940i \(-0.0634253\pi\)
\(48\) −2.07537 5.83526i −0.299554 0.842247i
\(49\) 3.79544 6.57390i 0.542206 0.939128i
\(50\) 0.231678 + 0.133759i 0.0327642 + 0.0189164i
\(51\) −7.65279 1.40753i −1.07160 0.197093i
\(52\) −1.11806 + 6.86258i −0.155047 + 0.951669i
\(53\) −8.34571 −1.14637 −0.573185 0.819426i \(-0.694293\pi\)
−0.573185 + 0.819426i \(0.694293\pi\)
\(54\) 1.38973 + 0.0306803i 0.189118 + 0.00417506i
\(55\) 4.77130 0.643363
\(56\) −2.00717 3.47652i −0.268220 0.464570i
\(57\) 0.260866 1.41834i 0.0345526 0.187864i
\(58\) 0.797502 + 0.460438i 0.104717 + 0.0604585i
\(59\) 0.991497 + 0.572441i 0.129082 + 0.0745255i 0.563151 0.826354i \(-0.309589\pi\)
−0.434069 + 0.900880i \(0.642922\pi\)
\(60\) 3.14703 1.11927i 0.406280 0.144497i
\(61\) −5.08702 8.81097i −0.651326 1.12813i −0.982801 0.184666i \(-0.940880\pi\)
0.331476 0.943464i \(-0.392454\pi\)
\(62\) 1.27248 0.161606
\(63\) −11.3134 + 1.82363i −1.42535 + 0.229756i
\(64\) 6.33326 0.791657
\(65\) −3.55863 0.579777i −0.441394 0.0719124i
\(66\) −1.43351 + 1.68308i −0.176452 + 0.207173i
\(67\) 10.5335 + 6.08150i 1.28687 + 0.742974i 0.978094 0.208162i \(-0.0667480\pi\)
0.308774 + 0.951135i \(0.400081\pi\)
\(68\) 4.33170 7.50272i 0.525295 0.909838i
\(69\) −6.62876 + 7.78283i −0.798008 + 0.936942i
\(70\) 0.884965 0.510935i 0.105774 0.0610684i
\(71\) 1.12258i 0.133226i 0.997779 + 0.0666131i \(0.0212193\pi\)
−0.997779 + 0.0666131i \(0.978781\pi\)
\(72\) −1.12180 + 2.94647i −0.132205 + 0.347244i
\(73\) 6.20857i 0.726658i 0.931661 + 0.363329i \(0.118360\pi\)
−0.931661 + 0.363329i \(0.881640\pi\)
\(74\) 0.191238 + 0.331233i 0.0222309 + 0.0385051i
\(75\) 0.580405 + 1.63191i 0.0670194 + 0.188437i
\(76\) 1.39053 + 0.802822i 0.159505 + 0.0920900i
\(77\) 9.11272 15.7837i 1.03849 1.79872i
\(78\) 1.27368 1.08112i 0.144216 0.122413i
\(79\) 7.21565 + 12.4979i 0.811824 + 1.40612i 0.911586 + 0.411109i \(0.134858\pi\)
−0.0997625 + 0.995011i \(0.531808\pi\)
\(80\) 3.57572i 0.399778i
\(81\) 6.72118 + 5.98546i 0.746798 + 0.665051i
\(82\) −0.378382 −0.0417853
\(83\) 7.32055 4.22652i 0.803535 0.463921i −0.0411708 0.999152i \(-0.513109\pi\)
0.844706 + 0.535231i \(0.179775\pi\)
\(84\) 2.30791 12.5482i 0.251814 1.36912i
\(85\) 3.89058 + 2.24622i 0.421992 + 0.243637i
\(86\) 2.11856 + 1.22315i 0.228450 + 0.131896i
\(87\) 1.99792 + 5.61750i 0.214199 + 0.602259i
\(88\) −2.50715 4.34252i −0.267264 0.462914i
\(89\) 5.87702i 0.622963i −0.950252 0.311481i \(-0.899175\pi\)
0.950252 0.311481i \(-0.100825\pi\)
\(90\) −0.750036 0.285558i −0.0790607 0.0301005i
\(91\) −8.71456 + 10.6648i −0.913534 + 1.11797i
\(92\) −5.69113 9.85733i −0.593342 1.02770i
\(93\) 6.27207 + 5.34202i 0.650384 + 0.553942i
\(94\) 1.73839 3.01098i 0.179301 0.310559i
\(95\) −0.416308 + 0.721066i −0.0427123 + 0.0739799i
\(96\) −4.03285 3.43484i −0.411601 0.350567i
\(97\) −12.3612 + 7.13676i −1.25509 + 0.724629i −0.972117 0.234498i \(-0.924655\pi\)
−0.282977 + 0.959127i \(0.591322\pi\)
\(98\) 2.03070i 0.205132i
\(99\) −14.1315 + 2.27789i −1.42027 + 0.228937i
\(100\) −1.92843 −0.192843
\(101\) 4.23325 + 7.33220i 0.421224 + 0.729581i 0.996059 0.0886877i \(-0.0282673\pi\)
−0.574836 + 0.818269i \(0.694934\pi\)
\(102\) −1.96125 + 0.697540i −0.194193 + 0.0690667i
\(103\) 6.17393 10.6936i 0.608336 1.05367i −0.383179 0.923674i \(-0.625171\pi\)
0.991515 0.129994i \(-0.0414959\pi\)
\(104\) 1.34226 + 3.54348i 0.131620 + 0.347467i
\(105\) 6.50695 + 1.19678i 0.635013 + 0.116794i
\(106\) −1.93352 + 1.11632i −0.187800 + 0.108426i
\(107\) −9.80820 −0.948195 −0.474097 0.880472i \(-0.657226\pi\)
−0.474097 + 0.880472i \(0.657226\pi\)
\(108\) −8.78642 + 4.81747i −0.845473 + 0.463561i
\(109\) 14.7105i 1.40901i −0.709701 0.704503i \(-0.751170\pi\)
0.709701 0.704503i \(-0.248830\pi\)
\(110\) 1.10541 0.638207i 0.105396 0.0608507i
\(111\) −0.447942 + 2.43548i −0.0425168 + 0.231166i
\(112\) 11.8287 + 6.82928i 1.11770 + 0.645306i
\(113\) −7.17072 + 12.4201i −0.674565 + 1.16838i 0.302031 + 0.953298i \(0.402335\pi\)
−0.976596 + 0.215082i \(0.930998\pi\)
\(114\) −0.129280 0.363492i −0.0121082 0.0340442i
\(115\) 5.11158 2.95117i 0.476657 0.275198i
\(116\) −6.63821 −0.616343
\(117\) 10.8166 + 0.0182210i 0.999999 + 0.00168454i
\(118\) 0.306278 0.0281951
\(119\) 14.8612 8.58013i 1.36233 0.786540i
\(120\) 1.18027 1.38576i 0.107744 0.126502i
\(121\) 5.88267 10.1891i 0.534788 0.926281i
\(122\) −2.35710 1.36087i −0.213402 0.123208i
\(123\) −1.86504 1.58849i −0.168165 0.143229i
\(124\) −7.94389 + 4.58641i −0.713382 + 0.411871i
\(125\) 1.00000i 0.0894427i
\(126\) −2.37713 + 1.93577i −0.211772 + 0.172452i
\(127\) −8.48951 −0.753322 −0.376661 0.926351i \(-0.622928\pi\)
−0.376661 + 0.926351i \(0.622928\pi\)
\(128\) 6.76464 3.90557i 0.597915 0.345207i
\(129\) 5.30746 + 14.9229i 0.467296 + 1.31388i
\(130\) −0.902008 + 0.341679i −0.0791113 + 0.0299672i
\(131\) 4.78570 8.28908i 0.418129 0.724220i −0.577622 0.816304i \(-0.696019\pi\)
0.995751 + 0.0920836i \(0.0293527\pi\)
\(132\) 2.88280 15.6739i 0.250916 1.36424i
\(133\) 1.59021 + 2.75433i 0.137889 + 0.238831i
\(134\) 3.25383 0.281088
\(135\) −2.49812 4.55625i −0.215004 0.392139i
\(136\) 4.72125i 0.404844i
\(137\) −10.3403 + 5.96997i −0.883431 + 0.510049i −0.871788 0.489883i \(-0.837039\pi\)
−0.0116427 + 0.999932i \(0.503706\pi\)
\(138\) −0.494711 + 2.68977i −0.0421126 + 0.228968i
\(139\) 5.93993 10.2883i 0.503819 0.872639i −0.496172 0.868224i \(-0.665261\pi\)
0.999990 0.00441494i \(-0.00140532\pi\)
\(140\) −3.68312 + 6.37935i −0.311280 + 0.539153i
\(141\) 21.2090 7.54318i 1.78612 0.635251i
\(142\) 0.150156 + 0.260078i 0.0126008 + 0.0218253i
\(143\) −10.8853 + 13.3214i −0.910277 + 1.11399i
\(144\) −1.70710 10.5905i −0.142259 0.882539i
\(145\) 3.44228i 0.285866i
\(146\) 0.830454 + 1.43839i 0.0687289 + 0.119042i
\(147\) 8.52511 10.0093i 0.703140 0.825557i
\(148\) −2.38772 1.37855i −0.196270 0.113316i
\(149\) 11.4392 + 6.60442i 0.937136 + 0.541056i 0.889061 0.457788i \(-0.151358\pi\)
0.0480744 + 0.998844i \(0.484692\pi\)
\(150\) 0.352751 + 0.300443i 0.0288020 + 0.0245311i
\(151\) −1.58329 + 0.914115i −0.128847 + 0.0743896i −0.563038 0.826431i \(-0.690368\pi\)
0.434191 + 0.900821i \(0.357034\pi\)
\(152\) 0.875021 0.0709736
\(153\) −12.5954 4.79538i −1.01828 0.387684i
\(154\) 4.87565i 0.392891i
\(155\) −2.37831 4.11935i −0.191030 0.330874i
\(156\) −4.05470 + 11.3400i −0.324636 + 0.907924i
\(157\) 2.72779 4.72466i 0.217701 0.377069i −0.736404 0.676542i \(-0.763478\pi\)
0.954105 + 0.299473i \(0.0968109\pi\)
\(158\) 3.34342 + 1.93032i 0.265988 + 0.153568i
\(159\) −14.2167 2.61479i −1.12746 0.207366i
\(160\) 1.52922 + 2.64868i 0.120895 + 0.209397i
\(161\) 22.5458i 1.77685i
\(162\) 2.35776 + 0.487679i 0.185243 + 0.0383157i
\(163\) 20.0027i 1.56673i 0.621562 + 0.783365i \(0.286498\pi\)
−0.621562 + 0.783365i \(0.713502\pi\)
\(164\) 2.36217 1.36380i 0.184454 0.106495i
\(165\) 8.12781 + 1.49489i 0.632749 + 0.116377i
\(166\) 1.13067 1.95839i 0.0877574 0.152000i
\(167\) −15.8612 9.15745i −1.22737 0.708625i −0.260894 0.965367i \(-0.584017\pi\)
−0.966480 + 0.256743i \(0.917351\pi\)
\(168\) −2.32995 6.55105i −0.179759 0.505424i
\(169\) 9.73745 8.61291i 0.749034 0.662531i
\(170\) 1.20182 0.0921750
\(171\) 0.888760 2.33438i 0.0679652 0.178515i
\(172\) −17.6344 −1.34461
\(173\) −8.48559 14.6975i −0.645148 1.11743i −0.984267 0.176685i \(-0.943463\pi\)
0.339120 0.940743i \(-0.389871\pi\)
\(174\) 1.21427 + 1.03421i 0.0920534 + 0.0784033i
\(175\) −3.30805 1.90990i −0.250065 0.144375i
\(176\) 14.7751 + 8.53043i 1.11372 + 0.643006i
\(177\) 1.50964 + 1.28579i 0.113472 + 0.0966456i
\(178\) −0.786107 1.36158i −0.0589212 0.102054i
\(179\) 8.16369 0.610183 0.305091 0.952323i \(-0.401313\pi\)
0.305091 + 0.952323i \(0.401313\pi\)
\(180\) 5.71157 0.920663i 0.425716 0.0686221i
\(181\) 8.83681 0.656835 0.328417 0.944533i \(-0.393485\pi\)
0.328417 + 0.944533i \(0.393485\pi\)
\(182\) −0.592456 + 3.63646i −0.0439157 + 0.269552i
\(183\) −5.90506 16.6031i −0.436515 1.22734i
\(184\) −5.37191 3.10147i −0.396022 0.228644i
\(185\) 0.714856 1.23817i 0.0525573 0.0910319i
\(186\) 2.16765 + 0.398681i 0.158940 + 0.0292327i
\(187\) 18.5631 10.7174i 1.35747 0.783736i
\(188\) 25.0627i 1.82789i
\(189\) −19.8434 0.438072i −1.44340 0.0318651i
\(190\) 0.222740i 0.0161593i
\(191\) −3.11255 5.39110i −0.225217 0.390086i 0.731168 0.682198i \(-0.238976\pi\)
−0.956384 + 0.292111i \(0.905642\pi\)
\(192\) 10.7886 + 1.98427i 0.778598 + 0.143202i
\(193\) 3.50344 + 2.02271i 0.252183 + 0.145598i 0.620764 0.783998i \(-0.286823\pi\)
−0.368580 + 0.929596i \(0.620156\pi\)
\(194\) −1.90922 + 3.30687i −0.137074 + 0.237419i
\(195\) −5.88040 2.10259i −0.421104 0.150570i
\(196\) 7.31926 + 12.6773i 0.522804 + 0.905523i
\(197\) 0.284920i 0.0202997i 0.999948 + 0.0101498i \(0.00323085\pi\)
−0.999948 + 0.0101498i \(0.996769\pi\)
\(198\) −2.96927 + 2.41796i −0.211017 + 0.171837i
\(199\) 10.3617 0.734520 0.367260 0.930118i \(-0.380296\pi\)
0.367260 + 0.930118i \(0.380296\pi\)
\(200\) −0.910132 + 0.525465i −0.0643561 + 0.0371560i
\(201\) 16.0381 + 13.6599i 1.13124 + 0.963498i
\(202\) 1.96150 + 1.13247i 0.138011 + 0.0796806i
\(203\) −11.3872 6.57442i −0.799227 0.461434i
\(204\) 9.72962 11.4236i 0.681210 0.799809i
\(205\) 0.707206 + 1.22492i 0.0493934 + 0.0855519i
\(206\) 3.30329i 0.230151i
\(207\) −13.7304 + 11.1810i −0.954327 + 0.777135i
\(208\) −9.98334 8.15772i −0.692220 0.565636i
\(209\) 1.98633 + 3.44043i 0.137397 + 0.237979i
\(210\) 1.66760 0.593098i 0.115075 0.0409277i
\(211\) −8.61115 + 14.9149i −0.592816 + 1.02679i 0.401035 + 0.916063i \(0.368650\pi\)
−0.993851 + 0.110724i \(0.964683\pi\)
\(212\) 8.04707 13.9379i 0.552675 0.957261i
\(213\) −0.351716 + 1.91230i −0.0240992 + 0.131029i
\(214\) −2.27235 + 1.31194i −0.155334 + 0.0896824i
\(215\) 9.14441i 0.623644i
\(216\) −2.83411 + 4.66777i −0.192837 + 0.317602i
\(217\) −18.1693 −1.23341
\(218\) −1.96766 3.40809i −0.133267 0.230825i
\(219\) −1.94520 + 10.5762i −0.131445 + 0.714670i
\(220\) −4.60057 + 7.96842i −0.310170 + 0.537231i
\(221\) −15.1474 + 5.73782i −1.01893 + 0.385968i
\(222\) 0.221991 + 0.624165i 0.0148990 + 0.0418912i
\(223\) −4.17729 + 2.41176i −0.279732 + 0.161503i −0.633302 0.773905i \(-0.718301\pi\)
0.353570 + 0.935408i \(0.384968\pi\)
\(224\) 11.6826 0.780577
\(225\) 0.477415 + 2.96177i 0.0318276 + 0.197451i
\(226\) 3.83661i 0.255207i
\(227\) −22.5056 + 12.9936i −1.49375 + 0.862415i −0.999974 0.00717601i \(-0.997716\pi\)
−0.493773 + 0.869591i \(0.664382\pi\)
\(228\) 2.11720 + 1.80326i 0.140215 + 0.119424i
\(229\) 17.5404 + 10.1269i 1.15910 + 0.669207i 0.951088 0.308919i \(-0.0999673\pi\)
0.208012 + 0.978126i \(0.433301\pi\)
\(230\) 0.789494 1.36744i 0.0520577 0.0901665i
\(231\) 20.4685 24.0321i 1.34673 1.58119i
\(232\) −3.13293 + 1.80880i −0.205687 + 0.118754i
\(233\) 4.52185 0.296237 0.148118 0.988970i \(-0.452678\pi\)
0.148118 + 0.988970i \(0.452678\pi\)
\(234\) 2.50842 1.44261i 0.163980 0.0943061i
\(235\) −12.9964 −0.847792
\(236\) −1.91204 + 1.10391i −0.124463 + 0.0718587i
\(237\) 8.37600 + 23.5506i 0.544080 + 1.52977i
\(238\) 2.29535 3.97566i 0.148785 0.257704i
\(239\) 4.86344 + 2.80791i 0.314590 + 0.181628i 0.648978 0.760807i \(-0.275197\pi\)
−0.334389 + 0.942435i \(0.608530\pi\)
\(240\) −1.12031 + 6.09117i −0.0723156 + 0.393183i
\(241\) 12.8454 7.41628i 0.827443 0.477724i −0.0255335 0.999674i \(-0.508128\pi\)
0.852976 + 0.521950i \(0.174795\pi\)
\(242\) 3.14745i 0.202326i
\(243\) 9.57408 + 12.3019i 0.614178 + 0.789168i
\(244\) 19.6199 1.25604
\(245\) −6.57390 + 3.79544i −0.419991 + 0.242482i
\(246\) −0.644565 0.118551i −0.0410960 0.00755851i
\(247\) −1.06343 2.80738i −0.0676644 0.178629i
\(248\) −2.49943 + 4.32915i −0.158714 + 0.274901i
\(249\) 13.7946 4.90619i 0.874198 0.310917i
\(250\) −0.133759 0.231678i −0.00845969 0.0146526i
\(251\) 17.6935 1.11681 0.558403 0.829570i \(-0.311414\pi\)
0.558403 + 0.829570i \(0.311414\pi\)
\(252\) 7.86295 20.6525i 0.495319 1.30099i
\(253\) 28.1619i 1.77052i
\(254\) −1.96683 + 1.13555i −0.123410 + 0.0712509i
\(255\) 5.92375 + 5.04535i 0.370959 + 0.315952i
\(256\) −5.28844 + 9.15986i −0.330528 + 0.572491i
\(257\) −4.10102 + 7.10317i −0.255814 + 0.443084i −0.965116 0.261821i \(-0.915677\pi\)
0.709302 + 0.704905i \(0.249010\pi\)
\(258\) 3.22570 + 2.74738i 0.200823 + 0.171044i
\(259\) −2.73061 4.72955i −0.169672 0.293880i
\(260\) 4.39956 5.38414i 0.272849 0.333910i
\(261\) 1.64340 + 10.1952i 0.101724 + 0.631070i
\(262\) 2.56053i 0.158190i
\(263\) 1.42875 + 2.47467i 0.0881004 + 0.152594i 0.906708 0.421759i \(-0.138587\pi\)
−0.818608 + 0.574353i \(0.805254\pi\)
\(264\) −2.91033 8.18290i −0.179118 0.503623i
\(265\) 7.22759 + 4.17285i 0.443988 + 0.256336i
\(266\) 0.736836 + 0.425412i 0.0451783 + 0.0260837i
\(267\) 1.84132 10.0114i 0.112687 0.612686i
\(268\) −20.3131 + 11.7278i −1.24082 + 0.716388i
\(269\) 3.93682 0.240032 0.120016 0.992772i \(-0.461705\pi\)
0.120016 + 0.992772i \(0.461705\pi\)
\(270\) −1.18820 0.721435i −0.0723117 0.0439051i
\(271\) 22.1080i 1.34296i −0.741021 0.671482i \(-0.765658\pi\)
0.741021 0.671482i \(-0.234342\pi\)
\(272\) 8.03188 + 13.9116i 0.487004 + 0.843516i
\(273\) −18.1864 + 15.4369i −1.10069 + 0.934283i
\(274\) −1.59708 + 2.76622i −0.0964831 + 0.167114i
\(275\) −4.13207 2.38565i −0.249173 0.143860i
\(276\) −6.60633 18.5748i −0.397654 1.11807i
\(277\) 4.77717 + 8.27430i 0.287032 + 0.497154i 0.973100 0.230383i \(-0.0739980\pi\)
−0.686068 + 0.727538i \(0.740665\pi\)
\(278\) 3.17809i 0.190609i
\(279\) 9.01063 + 11.0651i 0.539452 + 0.662451i
\(280\) 4.01435i 0.239903i
\(281\) −22.5837 + 13.0387i −1.34723 + 0.777823i −0.987856 0.155371i \(-0.950343\pi\)
−0.359373 + 0.933194i \(0.617009\pi\)
\(282\) 3.90468 4.58449i 0.232520 0.273002i
\(283\) −11.6980 + 20.2616i −0.695376 + 1.20443i 0.274678 + 0.961536i \(0.411429\pi\)
−0.970054 + 0.242890i \(0.921905\pi\)
\(284\) −1.87480 1.08241i −0.111249 0.0642295i
\(285\) −0.935088 + 1.09789i −0.0553898 + 0.0650333i
\(286\) −0.740035 + 4.54229i −0.0437592 + 0.268591i
\(287\) 5.40277 0.318915
\(288\) −5.79371 7.11471i −0.341397 0.419238i
\(289\) 3.18211 0.187183
\(290\) −0.460438 0.797502i −0.0270378 0.0468309i
\(291\) −23.2931 + 8.28443i −1.36547 + 0.485642i
\(292\) −10.3688 5.98640i −0.606786 0.350328i
\(293\) −8.06287 4.65510i −0.471038 0.271954i 0.245636 0.969362i \(-0.421003\pi\)
−0.716674 + 0.697408i \(0.754337\pi\)
\(294\) 0.636239 3.45926i 0.0371062 0.201748i
\(295\) −0.572441 0.991497i −0.0333288 0.0577272i
\(296\) −1.50253 −0.0873327
\(297\) −24.7864 0.547195i −1.43825 0.0317515i
\(298\) 3.53362 0.204697
\(299\) −3.42204 + 21.0042i −0.197902 + 1.21471i
\(300\) −3.28504 0.604196i −0.189662 0.0348833i
\(301\) −30.2501 17.4649i −1.74359 1.00666i
\(302\) −0.244543 + 0.423561i −0.0140719 + 0.0243732i
\(303\) 4.91400 + 13.8166i 0.282302 + 0.793741i
\(304\) −2.57833 + 1.48860i −0.147878 + 0.0853772i
\(305\) 10.1740i 0.582563i
\(306\) −3.55950 + 0.573764i −0.203483 + 0.0327999i
\(307\) 23.3836i 1.33458i 0.744800 + 0.667288i \(0.232545\pi\)
−0.744800 + 0.667288i \(0.767455\pi\)
\(308\) 17.5733 + 30.4378i 1.00133 + 1.73435i
\(309\) 13.8676 16.2819i 0.788898 0.926245i
\(310\) −1.10200 0.636242i −0.0625896 0.0361361i
\(311\) −0.686243 + 1.18861i −0.0389133 + 0.0673998i −0.884826 0.465921i \(-0.845723\pi\)
0.845913 + 0.533321i \(0.179056\pi\)
\(312\) 1.17631 + 6.45678i 0.0665955 + 0.365543i
\(313\) −5.56238 9.63433i −0.314405 0.544565i 0.664906 0.746927i \(-0.268471\pi\)
−0.979311 + 0.202362i \(0.935138\pi\)
\(314\) 1.45947i 0.0823626i
\(315\) 10.7095 + 4.07738i 0.603411 + 0.229734i
\(316\) −27.8298 −1.56555
\(317\) −0.868084 + 0.501188i −0.0487564 + 0.0281495i −0.524180 0.851607i \(-0.675628\pi\)
0.475424 + 0.879757i \(0.342295\pi\)
\(318\) −3.64346 + 1.29583i −0.204315 + 0.0726667i
\(319\) −14.2238 8.21209i −0.796378 0.459789i
\(320\) −5.48476 3.16663i −0.306608 0.177020i
\(321\) −16.7081 3.07300i −0.932553 0.171518i
\(322\) −3.01571 5.22336i −0.168059 0.291087i
\(323\) 3.74048i 0.208126i
\(324\) −16.4768 + 5.45358i −0.915379 + 0.302977i
\(325\) 2.79198 + 2.28142i 0.154871 + 0.126550i
\(326\) 2.67555 + 4.63418i 0.148185 + 0.256664i
\(327\) 4.60892 25.0589i 0.254874 1.38576i
\(328\) 0.743224 1.28730i 0.0410377 0.0710793i
\(329\) −24.8218 + 42.9927i −1.36847 + 2.37026i
\(330\) 2.08299 0.740837i 0.114665 0.0407818i
\(331\) −28.8372 + 16.6492i −1.58504 + 0.915122i −0.590930 + 0.806723i \(0.701239\pi\)
−0.994107 + 0.108399i \(0.965427\pi\)
\(332\) 16.3011i 0.894641i
\(333\) −1.52612 + 4.00845i −0.0836309 + 0.219662i
\(334\) −4.89958 −0.268093
\(335\) −6.08150 10.5335i −0.332268 0.575505i
\(336\) 18.0102 + 15.3396i 0.982536 + 0.836841i
\(337\) −14.2103 + 24.6130i −0.774085 + 1.34075i 0.161223 + 0.986918i \(0.448456\pi\)
−0.935308 + 0.353836i \(0.884877\pi\)
\(338\) 1.10390 3.29790i 0.0600440 0.179382i
\(339\) −16.1065 + 18.9106i −0.874784 + 1.02708i
\(340\) −7.50272 + 4.33170i −0.406892 + 0.234919i
\(341\) −22.6953 −1.22902
\(342\) −0.106340 0.659706i −0.00575019 0.0356728i
\(343\) 2.25706i 0.121870i
\(344\) −8.32262 + 4.80507i −0.448726 + 0.259072i
\(345\) 9.63208 3.42575i 0.518574 0.184436i
\(346\) −3.93185 2.27006i −0.211378 0.122039i
\(347\) 14.4761 25.0733i 0.777115 1.34600i −0.156483 0.987681i \(-0.550016\pi\)
0.933598 0.358322i \(-0.116651\pi\)
\(348\) −11.3081 2.07981i −0.606175 0.111490i
\(349\) 2.19739 1.26867i 0.117624 0.0679101i −0.440034 0.897981i \(-0.645034\pi\)
0.557658 + 0.830071i \(0.311700\pi\)
\(350\) −1.02187 −0.0546212
\(351\) 18.4202 + 3.41999i 0.983197 + 0.182546i
\(352\) 14.5927 0.777795
\(353\) 4.46674 2.57887i 0.237741 0.137260i −0.376397 0.926458i \(-0.622837\pi\)
0.614138 + 0.789199i \(0.289504\pi\)
\(354\) 0.521737 + 0.0959596i 0.0277300 + 0.00510020i
\(355\) 0.561292 0.972187i 0.0297903 0.0515983i
\(356\) 9.81505 + 5.66672i 0.520196 + 0.300336i
\(357\) 28.0040 9.95991i 1.48213 0.527134i
\(358\) 1.89135 1.09197i 0.0999609 0.0577124i
\(359\) 11.9673i 0.631610i 0.948824 + 0.315805i \(0.102274\pi\)
−0.948824 + 0.315805i \(0.897726\pi\)
\(360\) 2.44474 1.99082i 0.128849 0.104925i
\(361\) 18.3068 0.963513
\(362\) 2.04730 1.18201i 0.107603 0.0621249i
\(363\) 13.2133 15.5138i 0.693520 0.814263i
\(364\) −9.40826 24.8371i −0.493127 1.30182i
\(365\) 3.10428 5.37678i 0.162486 0.281433i
\(366\) −3.58890 3.05672i −0.187595 0.159777i
\(367\) −8.68972 15.0510i −0.453600 0.785658i 0.545007 0.838432i \(-0.316527\pi\)
−0.998606 + 0.0527738i \(0.983194\pi\)
\(368\) 21.1051 1.10018
\(369\) −2.67937 3.29029i −0.139483 0.171286i
\(370\) 0.382475i 0.0198839i
\(371\) 27.6080 15.9395i 1.43333 0.827536i
\(372\) −14.9692 + 5.32395i −0.776117 + 0.276034i
\(373\) 5.21095 9.02562i 0.269813 0.467329i −0.699001 0.715121i \(-0.746372\pi\)
0.968813 + 0.247792i \(0.0797049\pi\)
\(374\) 2.86711 4.96599i 0.148255 0.256785i
\(375\) 0.313309 1.70348i 0.0161792 0.0879672i
\(376\) 6.82916 + 11.8285i 0.352187 + 0.610006i
\(377\) 9.61078 + 7.85328i 0.494980 + 0.404465i
\(378\) −4.65589 + 2.55276i −0.239473 + 0.131300i
\(379\) 21.9098i 1.12543i −0.826651 0.562715i \(-0.809757\pi\)
0.826651 0.562715i \(-0.190243\pi\)
\(380\) −0.802822 1.39053i −0.0411839 0.0713326i
\(381\) −14.4617 2.65984i −0.740895 0.136268i
\(382\) −1.44222 0.832667i −0.0737905 0.0426030i
\(383\) 27.7328 + 16.0115i 1.41708 + 0.818150i 0.996041 0.0888937i \(-0.0283331\pi\)
0.421036 + 0.907044i \(0.361666\pi\)
\(384\) 12.7471 4.53362i 0.650496 0.231355i
\(385\) −15.7837 + 9.11272i −0.804411 + 0.464427i
\(386\) 1.08223 0.0550840
\(387\) 4.36568 + 27.0836i 0.221920 + 1.37674i
\(388\) 27.5256i 1.39740i
\(389\) 4.45126 + 7.70981i 0.225688 + 0.390903i 0.956526 0.291648i \(-0.0942037\pi\)
−0.730838 + 0.682551i \(0.760870\pi\)
\(390\) −1.64360 + 0.299435i −0.0832270 + 0.0151625i
\(391\) 13.2580 22.9635i 0.670485 1.16131i
\(392\) 6.90871 + 3.98874i 0.348942 + 0.201462i
\(393\) 10.7494 12.6209i 0.542235 0.636638i
\(394\) 0.0381107 + 0.0660097i 0.00191999 + 0.00332552i
\(395\) 14.4313i 0.726117i
\(396\) 9.82159 25.7970i 0.493553 1.29635i
\(397\) 8.79341i 0.441328i −0.975350 0.220664i \(-0.929178\pi\)
0.975350 0.220664i \(-0.0708225\pi\)
\(398\) 2.40058 1.38597i 0.120330 0.0694726i
\(399\) 1.84594 + 5.19017i 0.0924124 + 0.259834i
\(400\) 1.78786 3.09667i 0.0893931 0.154833i
\(401\) −2.80491 1.61941i −0.140070 0.0808697i 0.428327 0.903624i \(-0.359103\pi\)
−0.568398 + 0.822754i \(0.692436\pi\)
\(402\) 5.54283 + 1.01946i 0.276451 + 0.0508459i
\(403\) 16.9270 + 2.75777i 0.843196 + 0.137374i
\(404\) −16.3271 −0.812302
\(405\) −2.82798 8.54415i −0.140524 0.424562i
\(406\) −3.51756 −0.174574
\(407\) −3.41080 5.90767i −0.169067 0.292833i
\(408\) 1.47921 8.04255i 0.0732319 0.398165i
\(409\) −16.0582 9.27123i −0.794029 0.458433i 0.0473500 0.998878i \(-0.484922\pi\)
−0.841379 + 0.540446i \(0.818256\pi\)
\(410\) 0.327688 + 0.189191i 0.0161834 + 0.00934347i
\(411\) −19.4849 + 6.93000i −0.961120 + 0.341832i
\(412\) 11.9060 + 20.6218i 0.586568 + 1.01596i
\(413\) −4.37322 −0.215192
\(414\) −1.68546 + 4.42697i −0.0828358 + 0.217574i
\(415\) −8.45305 −0.414944
\(416\) −10.8838 1.77321i −0.533624 0.0869387i
\(417\) 13.3420 15.6648i 0.653358 0.767108i
\(418\) 0.920379 + 0.531381i 0.0450172 + 0.0259907i
\(419\) 1.51665 2.62692i 0.0740934 0.128334i −0.826598 0.562792i \(-0.809727\pi\)
0.900692 + 0.434459i \(0.143060\pi\)
\(420\) −8.27282 + 9.71312i −0.403672 + 0.473952i
\(421\) 15.2998 8.83336i 0.745668 0.430512i −0.0784584 0.996917i \(-0.525000\pi\)
0.824127 + 0.566406i \(0.191666\pi\)
\(422\) 4.60729i 0.224279i
\(423\) 38.4924 6.20468i 1.87156 0.301682i
\(424\) 8.77076i 0.425946i
\(425\) −2.24622 3.89058i −0.108958 0.188721i
\(426\) 0.174303 + 0.490083i 0.00844501 + 0.0237446i
\(427\) 33.6562 + 19.4314i 1.62874 + 0.940351i
\(428\) 9.45723 16.3804i 0.457133 0.791777i
\(429\) −22.7166 + 19.2822i −1.09677 + 0.930953i
\(430\) −1.22315 2.11856i −0.0589856 0.102166i
\(431\) 18.4289i 0.887690i 0.896104 + 0.443845i \(0.146386\pi\)
−0.896104 + 0.443845i \(0.853614\pi\)
\(432\) 0.410080 18.5755i 0.0197300 0.893713i
\(433\) −4.84859 −0.233008 −0.116504 0.993190i \(-0.537169\pi\)
−0.116504 + 0.993190i \(0.537169\pi\)
\(434\) −4.20943 + 2.43032i −0.202059 + 0.116659i
\(435\) 1.07850 5.86385i 0.0517101 0.281150i
\(436\) 24.5675 + 14.1841i 1.17657 + 0.679294i
\(437\) 4.25598 + 2.45719i 0.203591 + 0.117543i
\(438\) 0.964000 + 2.71045i 0.0460617 + 0.129510i
\(439\) −7.77071 13.4593i −0.370876 0.642376i 0.618825 0.785529i \(-0.287609\pi\)
−0.989701 + 0.143153i \(0.954276\pi\)
\(440\) 5.01431i 0.239048i
\(441\) 17.6584 14.3797i 0.840875 0.684747i
\(442\) −2.74184 + 3.35544i −0.130416 + 0.159602i
\(443\) 16.7839 + 29.0706i 0.797427 + 1.38118i 0.921287 + 0.388884i \(0.127139\pi\)
−0.123860 + 0.992300i \(0.539527\pi\)
\(444\) −3.63552 3.09643i −0.172534 0.146950i
\(445\) −2.93851 + 5.08965i −0.139299 + 0.241272i
\(446\) −0.645191 + 1.11750i −0.0305507 + 0.0529153i
\(447\) 17.4172 + 14.8345i 0.823805 + 0.701648i
\(448\) −20.9507 + 12.0959i −0.989828 + 0.571477i
\(449\) 4.17757i 0.197152i −0.995130 0.0985760i \(-0.968571\pi\)
0.995130 0.0985760i \(-0.0314287\pi\)
\(450\) 0.506771 + 0.622318i 0.0238894 + 0.0293364i
\(451\) 6.74859 0.317779
\(452\) −13.8283 23.9512i −0.650427 1.12657i
\(453\) −2.98351 + 1.06111i −0.140177 + 0.0498555i
\(454\) −3.47603 + 6.02066i −0.163138 + 0.282564i
\(455\) 12.8794 4.87871i 0.603797 0.228717i
\(456\) 1.49058 + 0.274152i 0.0698028 + 0.0128384i
\(457\) −6.76599 + 3.90635i −0.316500 + 0.182731i −0.649831 0.760078i \(-0.725160\pi\)
0.333332 + 0.942810i \(0.391827\pi\)
\(458\) 5.41829 0.253180
\(459\) −19.9535 12.1151i −0.931349 0.565483i
\(460\) 11.3823i 0.530701i
\(461\) −1.48368 + 0.856604i −0.0691019 + 0.0398960i −0.534153 0.845388i \(-0.679369\pi\)
0.465051 + 0.885284i \(0.346036\pi\)
\(462\) 1.52759 8.30556i 0.0710698 0.386410i
\(463\) 19.1053 + 11.0304i 0.887897 + 0.512627i 0.873254 0.487265i \(-0.162006\pi\)
0.0146429 + 0.999893i \(0.495339\pi\)
\(464\) 6.15433 10.6596i 0.285707 0.494860i
\(465\) −2.76076 7.76236i −0.128027 0.359971i
\(466\) 1.04761 0.604841i 0.0485298 0.0280187i
\(467\) −23.5518 −1.08985 −0.544923 0.838486i \(-0.683441\pi\)
−0.544923 + 0.838486i \(0.683441\pi\)
\(468\) −10.4600 + 18.0470i −0.483514 + 0.834223i
\(469\) −46.4603 −2.14534
\(470\) −3.01098 + 1.73839i −0.138886 + 0.0801861i
\(471\) 6.12700 7.19372i 0.282317 0.331469i
\(472\) −0.601596 + 1.04199i −0.0276907 + 0.0479617i
\(473\) −37.7853 21.8154i −1.73737 1.00307i
\(474\) 5.09065 + 4.33579i 0.233821 + 0.199149i
\(475\) 0.721066 0.416308i 0.0330848 0.0191015i
\(476\) 33.0924i 1.51679i
\(477\) −23.3986 8.90847i −1.07135 0.407891i
\(478\) 1.50234 0.0687153
\(479\) 31.9463 18.4442i 1.45966 0.842736i 0.460667 0.887573i \(-0.347610\pi\)
0.998994 + 0.0448367i \(0.0142767\pi\)
\(480\) 1.77513 + 4.99109i 0.0810233 + 0.227811i
\(481\) 1.82605 + 4.82064i 0.0832607 + 0.219802i
\(482\) 1.98399 3.43638i 0.0903685 0.156523i
\(483\) 7.06380 38.4062i 0.321414 1.74754i
\(484\) 11.3443 + 19.6490i 0.515652 + 0.893135i
\(485\) 14.2735 0.648128
\(486\) 3.86360 + 1.56946i 0.175257 + 0.0711921i
\(487\) 20.6923i 0.937657i 0.883289 + 0.468829i \(0.155324\pi\)
−0.883289 + 0.468829i \(0.844676\pi\)
\(488\) 9.25972 5.34610i 0.419168 0.242007i
\(489\) −6.26702 + 34.0741i −0.283405 + 1.54088i
\(490\) −1.01535 + 1.75864i −0.0458689 + 0.0794473i
\(491\) −4.33370 + 7.50620i −0.195577 + 0.338750i −0.947090 0.320969i \(-0.895991\pi\)
0.751512 + 0.659719i \(0.229325\pi\)
\(492\) 4.45120 1.58311i 0.200675 0.0713722i
\(493\) −7.73214 13.3925i −0.348238 0.603166i
\(494\) −0.621886 0.508164i −0.0279800 0.0228634i
\(495\) 13.3772 + 5.09304i 0.601260 + 0.228915i
\(496\) 17.0083i 0.763697i
\(497\) −2.14403 3.71356i −0.0961727 0.166576i
\(498\) 2.53966 2.98182i 0.113805 0.133618i
\(499\) 1.92096 + 1.10907i 0.0859941 + 0.0496487i 0.542380 0.840133i \(-0.317523\pi\)
−0.456386 + 0.889782i \(0.650856\pi\)
\(500\) 1.67007 + 0.964217i 0.0746879 + 0.0431211i
\(501\) −24.1500 20.5690i −1.07894 0.918954i
\(502\) 4.09921 2.36668i 0.182957 0.105630i
\(503\) 8.41584 0.375244 0.187622 0.982241i \(-0.439922\pi\)
0.187622 + 0.982241i \(0.439922\pi\)
\(504\) −1.91651 11.8896i −0.0853680 0.529603i
\(505\) 8.46650i 0.376754i
\(506\) −3.76691 6.52449i −0.167460 0.290049i
\(507\) 19.2860 11.6211i 0.856523 0.516110i
\(508\) 8.18573 14.1781i 0.363183 0.629051i
\(509\) 8.71784 + 5.03325i 0.386412 + 0.223095i 0.680604 0.732651i \(-0.261717\pi\)
−0.294193 + 0.955746i \(0.595051\pi\)
\(510\) 2.04727 + 0.376540i 0.0906545 + 0.0166735i
\(511\) −11.8577 20.5382i −0.524556 0.908557i
\(512\) 18.4518i 0.815462i
\(513\) 2.24537 3.69811i 0.0991354 0.163276i
\(514\) 2.19420i 0.0967820i
\(515\) −10.6936 + 6.17393i −0.471215 + 0.272056i
\(516\) −30.0398 5.52502i −1.32243 0.243225i
\(517\) −31.0049 + 53.7021i −1.36359 + 2.36181i
\(518\) −1.26525 0.730490i −0.0555917 0.0320959i
\(519\) −9.85016 27.6954i −0.432374 1.21569i
\(520\) 0.609305 3.73987i 0.0267198 0.164004i
\(521\) 13.2577 0.580832 0.290416 0.956900i \(-0.406206\pi\)
0.290416 + 0.956900i \(0.406206\pi\)
\(522\) 1.74445 + 2.14220i 0.0763525 + 0.0937614i
\(523\) 27.9447 1.22193 0.610967 0.791656i \(-0.290781\pi\)
0.610967 + 0.791656i \(0.290781\pi\)
\(524\) 9.22891 + 15.9849i 0.403167 + 0.698306i
\(525\) −5.03679 4.28992i −0.219824 0.187227i
\(526\) 0.662020 + 0.382217i 0.0288654 + 0.0166655i
\(527\) −18.5060 10.6844i −0.806133 0.465421i
\(528\) 22.4965 + 19.1606i 0.979033 + 0.833858i
\(529\) −5.91880 10.2517i −0.257339 0.445724i
\(530\) 2.23263 0.0969794
\(531\) 2.16879 + 2.66329i 0.0941176 + 0.115577i
\(532\) −6.13324 −0.265910
\(533\) −5.03337 0.820043i −0.218019 0.0355200i
\(534\) −0.912521 2.56571i −0.0394886 0.111029i
\(535\) 8.49415 + 4.90410i 0.367234 + 0.212023i
\(536\) −6.39124 + 11.0699i −0.276059 + 0.478149i
\(537\) 13.9067 + 2.55776i 0.600117 + 0.110376i
\(538\) 0.912076 0.526588i 0.0393224 0.0227028i
\(539\) 36.2184i 1.56004i
\(540\) 10.0180 + 0.221162i 0.431106 + 0.00951728i
\(541\) 37.7179i 1.62162i −0.585310 0.810810i \(-0.699027\pi\)
0.585310 0.810810i \(-0.300973\pi\)
\(542\) −2.95715 5.12194i −0.127021 0.220006i
\(543\) 15.0533 + 2.76866i 0.645999 + 0.118814i
\(544\) 11.8991 + 6.86993i 0.510168 + 0.294546i
\(545\) −7.35523 + 12.7396i −0.315063 + 0.545706i
\(546\) −2.14857 + 6.00900i −0.0919503 + 0.257161i
\(547\) 7.56197 + 13.0977i 0.323326 + 0.560018i 0.981172 0.193135i \(-0.0618655\pi\)
−0.657846 + 0.753153i \(0.728532\pi\)
\(548\) 23.0254i 0.983596i
\(549\) −4.85723 30.1331i −0.207302 1.28605i
\(550\) −1.27641 −0.0544265
\(551\) 2.48212 1.43305i 0.105742 0.0610500i
\(552\) −8.17921 6.96636i −0.348130 0.296508i
\(553\) −47.7394 27.5623i −2.03008 1.17207i
\(554\) 2.21353 + 1.27798i 0.0940439 + 0.0542963i
\(555\) 1.60567 1.88522i 0.0681570 0.0800231i
\(556\) 11.4548 + 19.8402i 0.485790 + 0.841414i
\(557\) 29.0794i 1.23213i −0.787694 0.616066i \(-0.788725\pi\)
0.787694 0.616066i \(-0.211275\pi\)
\(558\) 3.56763 + 1.35829i 0.151030 + 0.0575010i
\(559\) 25.5310 + 20.8622i 1.07985 + 0.882378i
\(560\) −6.82928 11.8287i −0.288590 0.499852i
\(561\) 34.9797 12.4409i 1.47685 0.525255i
\(562\) −3.48810 + 6.04156i −0.147136 + 0.254848i
\(563\) 7.70300 13.3420i 0.324643 0.562298i −0.656797 0.754067i \(-0.728089\pi\)
0.981440 + 0.191770i \(0.0614226\pi\)
\(564\) −7.85238 + 42.6938i −0.330645 + 1.79773i
\(565\) 12.4201 7.17072i 0.522516 0.301674i
\(566\) 6.25889i 0.263081i
\(567\) −33.6656 6.96338i −1.41382 0.292435i
\(568\) −1.17976 −0.0495016
\(569\) −3.04754 5.27850i −0.127760 0.221286i 0.795049 0.606546i \(-0.207445\pi\)
−0.922808 + 0.385260i \(0.874112\pi\)
\(570\) −0.0697867 + 0.379434i −0.00292304 + 0.0158927i
\(571\) 7.94152 13.7551i 0.332342 0.575634i −0.650628 0.759396i \(-0.725494\pi\)
0.982971 + 0.183762i \(0.0588277\pi\)
\(572\) −11.7518 31.0240i −0.491369 1.29718i
\(573\) −3.61308 10.1588i −0.150939 0.424391i
\(574\) 1.25170 0.722672i 0.0522451 0.0301637i
\(575\) −5.90234 −0.246145
\(576\) 17.7564 + 6.76032i 0.739850 + 0.281680i
\(577\) 11.4920i 0.478418i −0.970968 0.239209i \(-0.923112\pi\)
0.970968 0.239209i \(-0.0768882\pi\)
\(578\) 0.737224 0.425637i 0.0306645 0.0177042i
\(579\) 5.33430 + 4.54331i 0.221686 + 0.188813i
\(580\) 5.74886 + 3.31911i 0.238709 + 0.137818i
\(581\) −16.1445 + 27.9631i −0.669786 + 1.16010i
\(582\) −4.28839 + 5.03500i −0.177759 + 0.208707i
\(583\) 34.4851 19.9100i 1.42822 0.824586i
\(584\) −6.52477 −0.269997
\(585\) −9.35837 5.42410i −0.386921 0.224259i
\(586\) −2.49066 −0.102888
\(587\) 10.1519 5.86119i 0.419013 0.241917i −0.275642 0.961260i \(-0.588890\pi\)
0.694655 + 0.719343i \(0.255557\pi\)
\(588\) 8.49627 + 23.8887i 0.350380 + 0.985155i
\(589\) 1.98022 3.42983i 0.0815934 0.141324i
\(590\) −0.265244 0.153139i −0.0109199 0.00630462i
\(591\) −0.0892681 + 0.485355i −0.00367200 + 0.0199648i
\(592\) 4.42734 2.55613i 0.181963 0.105056i
\(593\) 45.8759i 1.88390i −0.335758 0.941948i \(-0.608992\pi\)
0.335758 0.941948i \(-0.391008\pi\)
\(594\) −5.81566 + 3.18864i −0.238619 + 0.130831i
\(595\) −17.1603 −0.703502
\(596\) −22.0597 + 12.7362i −0.903602 + 0.521695i
\(597\) 17.6509 + 3.24641i 0.722403 + 0.132867i
\(598\) 2.01671 + 5.32396i 0.0824692 + 0.217713i
\(599\) 4.04403 7.00446i 0.165234 0.286194i −0.771504 0.636224i \(-0.780495\pi\)
0.936738 + 0.350030i \(0.113829\pi\)
\(600\) −1.71502 + 0.609965i −0.0700155 + 0.0249017i
\(601\) −0.350315 0.606763i −0.0142896 0.0247504i 0.858792 0.512324i \(-0.171215\pi\)
−0.873082 + 0.487574i \(0.837882\pi\)
\(602\) −9.34439 −0.380849
\(603\) 23.0408 + 28.2943i 0.938296 + 1.15223i
\(604\) 3.52562i 0.143455i
\(605\) −10.1891 + 5.88267i −0.414245 + 0.239165i
\(606\) 2.98656 + 2.54370i 0.121321 + 0.103331i
\(607\) 9.23783 16.0004i 0.374952 0.649436i −0.615368 0.788240i \(-0.710993\pi\)
0.990320 + 0.138804i \(0.0443258\pi\)
\(608\) −1.27325 + 2.20533i −0.0516371 + 0.0894381i
\(609\) −17.3381 14.7671i −0.702574 0.598393i
\(610\) 1.36087 + 2.35710i 0.0551001 + 0.0954363i
\(611\) 29.6502 36.2857i 1.19952 1.46796i
\(612\) 20.1533 16.4114i 0.814649 0.663391i
\(613\) 14.1482i 0.571442i −0.958313 0.285721i \(-0.907767\pi\)
0.958313 0.285721i \(-0.0922331\pi\)
\(614\) 3.12778 + 5.41748i 0.126227 + 0.218632i
\(615\) 0.820932 + 2.30819i 0.0331032 + 0.0930753i
\(616\) 16.5876 + 9.57683i 0.668332 + 0.385862i
\(617\) 21.1972 + 12.2382i 0.853365 + 0.492691i 0.861785 0.507274i \(-0.169347\pi\)
−0.00841953 + 0.999965i \(0.502680\pi\)
\(618\) 1.03495 5.62708i 0.0416318 0.226354i
\(619\) −21.2194 + 12.2510i −0.852879 + 0.492410i −0.861621 0.507552i \(-0.830551\pi\)
0.00874197 + 0.999962i \(0.497217\pi\)
\(620\) 9.17281 0.368389
\(621\) −26.8925 + 14.7448i −1.07916 + 0.591687i
\(622\) 0.367166i 0.0147220i
\(623\) 11.2245 + 19.4414i 0.449701 + 0.778905i
\(624\) −14.4505 17.0244i −0.578483 0.681520i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −2.57737 1.48804i −0.103012 0.0594742i
\(627\) 2.30575 + 6.48303i 0.0920830 + 0.258907i
\(628\) 5.26035 + 9.11120i 0.209911 + 0.363576i
\(629\) 6.42291i 0.256098i
\(630\) 3.02654 0.487855i 0.120580 0.0194366i
\(631\) 9.58282i 0.381486i −0.981640 0.190743i \(-0.938910\pi\)
0.981640 0.190743i \(-0.0610897\pi\)
\(632\) −13.1344 + 7.58314i −0.522458 + 0.301641i
\(633\) −19.3419 + 22.7093i −0.768771 + 0.902614i
\(634\) −0.134077 + 0.232229i −0.00532489 + 0.00922298i
\(635\) 7.35213 + 4.24475i 0.291760 + 0.168448i
\(636\) 18.0749 21.2217i 0.716716 0.841497i
\(637\) 4.40102 27.0132i 0.174375 1.07030i
\(638\) −4.39378 −0.173951
\(639\) −1.19828 + 3.14736i −0.0474033 + 0.124508i
\(640\) −7.81113 −0.308762
\(641\) 10.9001 + 18.8796i 0.430529 + 0.745698i 0.996919 0.0784393i \(-0.0249937\pi\)
−0.566390 + 0.824137i \(0.691660\pi\)
\(642\) −4.28194 + 1.52291i −0.168994 + 0.0601046i
\(643\) −10.1778 5.87618i −0.401375 0.231734i 0.285702 0.958318i \(-0.407773\pi\)
−0.687077 + 0.726585i \(0.741107\pi\)
\(644\) 37.6531 + 21.7390i 1.48374 + 0.856637i
\(645\) 2.86503 15.5773i 0.112810 0.613356i
\(646\) 0.500325 + 0.866589i 0.0196850 + 0.0340955i
\(647\) −14.5742 −0.572970 −0.286485 0.958085i \(-0.592487\pi\)
−0.286485 + 0.958085i \(0.592487\pi\)
\(648\) −6.29030 + 7.06349i −0.247106 + 0.277480i
\(649\) −5.46258 −0.214425
\(650\) 0.952001 + 0.155101i 0.0373406 + 0.00608357i
\(651\) −30.9510 5.69262i −1.21307 0.223111i
\(652\) −33.4059 19.2869i −1.30828 0.755334i
\(653\) 11.0634 19.1624i 0.432944 0.749881i −0.564181 0.825651i \(-0.690808\pi\)
0.997125 + 0.0757697i \(0.0241414\pi\)
\(654\) −2.28408 6.42209i −0.0893147 0.251124i
\(655\) −8.28908 + 4.78570i −0.323881 + 0.186993i
\(656\) 5.05754i 0.197464i
\(657\) −6.62722 + 17.4068i −0.258552 + 0.679104i
\(658\) 13.2806i 0.517733i
\(659\) −16.5680 28.6966i −0.645397 1.11786i −0.984210 0.177006i \(-0.943359\pi\)
0.338813 0.940854i \(-0.389975\pi\)
\(660\) −10.3336 + 12.1326i −0.402233 + 0.472262i
\(661\) 12.5256 + 7.23168i 0.487191 + 0.281280i 0.723408 0.690421i \(-0.242574\pi\)
−0.236218 + 0.971700i \(0.575908\pi\)
\(662\) −4.45397 + 7.71451i −0.173109 + 0.299833i
\(663\) −27.6010 + 5.02842i −1.07194 + 0.195288i
\(664\) 4.44178 + 7.69339i 0.172375 + 0.298561i
\(665\) 3.18043i 0.123332i
\(666\) 0.182599 + 1.13280i 0.00707558 + 0.0438952i
\(667\) −20.3175 −0.786698
\(668\) 30.5872 17.6595i 1.18345 0.683268i
\(669\) −7.87155 + 2.79959i −0.304332 + 0.108239i
\(670\) −2.81790 1.62692i −0.108865 0.0628533i
\(671\) 42.0398 + 24.2717i 1.62293 + 0.936999i
\(672\) 19.9011 + 3.66027i 0.767701 + 0.141198i
\(673\) −5.87759 10.1803i −0.226565 0.392421i 0.730223 0.683209i \(-0.239416\pi\)
−0.956788 + 0.290787i \(0.906083\pi\)
\(674\) 7.60305i 0.292859i
\(675\) −0.114685 + 5.19489i −0.00441421 + 0.199951i
\(676\) 4.99517 + 24.5669i 0.192122 + 0.944883i
\(677\) 5.78307 + 10.0166i 0.222262 + 0.384968i 0.955494 0.295009i \(-0.0953228\pi\)
−0.733233 + 0.679978i \(0.761989\pi\)
\(678\) −1.20204 + 6.53557i −0.0461643 + 0.250997i
\(679\) 27.2610 47.2175i 1.04618 1.81204i
\(680\) −2.36063 + 4.08872i −0.0905259 + 0.156795i
\(681\) −42.4087 + 15.0831i −1.62511 + 0.577986i
\(682\) −5.25799 + 3.03570i −0.201339 + 0.116243i
\(683\) 8.58495i 0.328494i −0.986419 0.164247i \(-0.947481\pi\)
0.986419 0.164247i \(-0.0525194\pi\)
\(684\) 3.04163 + 3.73515i 0.116300 + 0.142817i
\(685\) 11.9399 0.456202
\(686\) 0.301903 + 0.522911i 0.0115267 + 0.0199648i
\(687\) 26.7068 + 22.7466i 1.01893 + 0.867836i
\(688\) 16.3489 28.3172i 0.623298 1.07958i
\(689\) −28.1397 + 10.6593i −1.07204 + 0.406085i
\(690\) 1.77332 2.08205i 0.0675090 0.0792624i
\(691\) 11.7004 6.75524i 0.445105 0.256981i −0.260656 0.965432i \(-0.583939\pi\)
0.705761 + 0.708450i \(0.250605\pi\)
\(692\) 32.7278 1.24412
\(693\) 42.3971 34.5251i 1.61053 1.31150i
\(694\) 7.74524i 0.294005i
\(695\) −10.2883 + 5.93993i −0.390256 + 0.225315i
\(696\) −5.90360 + 2.09967i −0.223775 + 0.0795879i
\(697\) 5.50288 + 3.17709i 0.208436 + 0.120341i
\(698\) 0.339392 0.587844i 0.0128462 0.0222502i
\(699\) 7.70288 + 1.41674i 0.291350 + 0.0535860i
\(700\) 6.37935 3.68312i 0.241117 0.139209i
\(701\) 31.6071 1.19378 0.596892 0.802321i \(-0.296402\pi\)
0.596892 + 0.802321i \(0.296402\pi\)
\(702\) 4.72501 1.67154i 0.178334 0.0630881i
\(703\) 1.19040 0.0448968
\(704\) −26.1695 + 15.1090i −0.986299 + 0.569440i
\(705\) −22.1391 4.07190i −0.833807 0.153356i
\(706\) 0.689897 1.19494i 0.0259646 0.0449721i
\(707\) −28.0076 16.1702i −1.05333 0.608142i
\(708\) −3.60298 + 1.28144i −0.135408 + 0.0481593i
\(709\) 21.4899 12.4072i 0.807069 0.465962i −0.0388678 0.999244i \(-0.512375\pi\)
0.845937 + 0.533283i \(0.179042\pi\)
\(710\) 0.300313i 0.0112705i
\(711\) 6.88971 + 42.7422i 0.258384 + 1.60296i
\(712\) 6.17634 0.231468
\(713\) −24.3138 + 14.0376i −0.910559 + 0.525711i
\(714\) 5.15569 6.05329i 0.192947 0.226539i
\(715\) 16.0877 6.09398i 0.601644 0.227902i
\(716\) −7.87157 + 13.6340i −0.294174 + 0.509525i
\(717\) 7.40502 + 6.30697i 0.276545 + 0.235538i
\(718\) 1.60074 + 2.77256i 0.0597390 + 0.103471i
\(719\) −52.7117 −1.96582 −0.982908 0.184097i \(-0.941064\pi\)
−0.982908 + 0.184097i \(0.941064\pi\)
\(720\) −3.81684 + 10.0252i −0.142245 + 0.373616i
\(721\) 47.1664i 1.75657i
\(722\) 4.24127 2.44870i 0.157844 0.0911312i
\(723\) 24.2054 8.60889i 0.900208 0.320168i
\(724\) −8.52060 + 14.7581i −0.316666 + 0.548481i
\(725\) −1.72114 + 2.98110i −0.0639216 + 0.110715i
\(726\) 0.986126 5.36162i 0.0365986 0.198988i
\(727\) −23.5424 40.7766i −0.873140 1.51232i −0.858732 0.512426i \(-0.828747\pi\)
−0.0144080 0.999896i \(-0.504586\pi\)
\(728\) −11.2080 9.15840i −0.415395 0.339433i
\(729\) 12.4549 + 23.9557i 0.461294 + 0.887247i
\(730\) 1.66091i 0.0614730i
\(731\) −20.5404 35.5770i −0.759714 1.31586i
\(732\) 33.4222 + 6.14711i 1.23532 + 0.227204i
\(733\) 26.6295 + 15.3746i 0.983585 + 0.567873i 0.903350 0.428903i \(-0.141100\pi\)
0.0802342 + 0.996776i \(0.474433\pi\)
\(734\) −4.02644 2.32466i −0.148619 0.0858049i
\(735\) −12.3876 + 4.40579i −0.456925 + 0.162510i
\(736\) 15.6334 9.02596i 0.576255 0.332701i
\(737\) −58.0334 −2.13769
\(738\) −1.06086 0.403897i −0.0390508 0.0148676i
\(739\) 26.2948i 0.967271i 0.875269 + 0.483636i \(0.160684\pi\)
−0.875269 + 0.483636i \(0.839316\pi\)
\(740\) 1.37855 + 2.38772i 0.0506766 + 0.0877745i
\(741\) −0.931951 5.11548i −0.0342361 0.187922i
\(742\) 4.26411 7.38566i 0.156540 0.271136i
\(743\) 40.9295 + 23.6307i 1.50156 + 0.866926i 0.999998 + 0.00180359i \(0.000574101\pi\)
0.501561 + 0.865122i \(0.332759\pi\)
\(744\) −5.61409 + 6.59151i −0.205823 + 0.241657i
\(745\) −6.60442 11.4392i −0.241967 0.419100i
\(746\) 2.78805i 0.102078i
\(747\) 25.0360 4.03561i 0.916018 0.147655i
\(748\) 41.3357i 1.51138i
\(749\) 32.4460 18.7327i 1.18555 0.684478i
\(750\) −0.155269 0.436567i −0.00566963 0.0159412i
\(751\) 4.66988 8.08847i 0.170406 0.295153i −0.768156 0.640263i \(-0.778825\pi\)
0.938562 + 0.345111i \(0.112159\pi\)
\(752\) −40.2456 23.2358i −1.46760 0.847322i
\(753\) 30.1406 + 5.54355i 1.09838 + 0.202018i
\(754\) 3.27706 + 0.533902i 0.119343 + 0.0194436i
\(755\) 1.82823 0.0665361
\(756\) 19.8650 32.7176i 0.722483 1.18993i
\(757\) 6.34739 0.230700 0.115350 0.993325i \(-0.463201\pi\)
0.115350 + 0.993325i \(0.463201\pi\)
\(758\) −2.93064 5.07602i −0.106446 0.184369i
\(759\) 8.82337 47.9731i 0.320268 1.74131i
\(760\) −0.757791 0.437511i −0.0274880 0.0158702i
\(761\) −3.37436 1.94819i −0.122321 0.0706218i 0.437591 0.899174i \(-0.355832\pi\)
−0.559912 + 0.828552i \(0.689165\pi\)
\(762\) −3.70624 + 1.31816i −0.134263 + 0.0477519i
\(763\) 28.0955 + 48.6628i 1.01713 + 1.76171i
\(764\) 12.0047 0.434315
\(765\) 8.51022 + 10.4506i 0.307688 + 0.377842i
\(766\) 8.56676 0.309530
\(767\) 4.07421 + 0.663776i 0.147111 + 0.0239676i
\(768\) −11.8786 + 13.9467i −0.428633 + 0.503258i
\(769\) −16.9967 9.81305i −0.612916 0.353867i 0.161190 0.986923i \(-0.448467\pi\)
−0.774106 + 0.633056i \(0.781800\pi\)
\(770\) −2.43782 + 4.22244i −0.0878531 + 0.152166i
\(771\) −9.21148 + 10.8152i −0.331743 + 0.389500i
\(772\) −6.75615 + 3.90067i −0.243159 + 0.140388i
\(773\) 41.6088i 1.49656i 0.663381 + 0.748282i \(0.269121\pi\)
−0.663381 + 0.748282i \(0.730879\pi\)
\(774\) 4.63412 + 5.69074i 0.166570 + 0.204549i