Properties

Label 546.2.by.b.115.5
Level $546$
Weight $2$
Character 546.115
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 115.5
Character \(\chi\) \(=\) 546.115
Dual form 546.2.by.b.19.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(3.90903 + 1.04742i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(-1.71472 + 2.01488i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +1.00000i q^{3} +(0.866025 - 0.500000i) q^{4} +(3.90903 + 1.04742i) q^{5} +(-0.258819 - 0.965926i) q^{6} +(-1.71472 + 2.01488i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} -4.04692 q^{10} +(-3.58587 + 3.58587i) q^{11} +(0.500000 + 0.866025i) q^{12} +(-2.15689 + 2.88926i) q^{13} +(1.13481 - 2.39002i) q^{14} +(-1.04742 + 3.90903i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-2.48117 - 4.29751i) q^{17} +(0.965926 - 0.258819i) q^{18} +(1.02617 - 1.02617i) q^{19} +(3.90903 - 1.04742i) q^{20} +(-2.01488 - 1.71472i) q^{21} +(2.53559 - 4.39177i) q^{22} +(4.70481 + 2.71632i) q^{23} +(-0.707107 - 0.707107i) q^{24} +(9.85327 + 5.68879i) q^{25} +(1.33560 - 3.34906i) q^{26} -1.00000i q^{27} +(-0.477555 + 2.60230i) q^{28} +(-4.24486 - 7.35231i) q^{29} -4.04692i q^{30} +(1.06592 + 3.97807i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(-3.58587 - 3.58587i) q^{33} +(3.50891 + 3.50891i) q^{34} +(-8.81332 + 6.08017i) q^{35} +(-0.866025 + 0.500000i) q^{36} +(-0.202220 - 0.754695i) q^{37} +(-0.725610 + 1.25679i) q^{38} +(-2.88926 - 2.15689i) q^{39} +(-3.50474 + 2.02346i) q^{40} +(-3.46045 - 0.927225i) q^{41} +(2.39002 + 1.13481i) q^{42} +(8.45709 + 4.88270i) q^{43} +(-1.31252 + 4.89839i) q^{44} +(-3.90903 - 1.04742i) q^{45} +(-5.24753 - 1.40607i) q^{46} +(-0.761269 + 2.84109i) q^{47} +(0.866025 + 0.500000i) q^{48} +(-1.11945 - 6.90991i) q^{49} +(-10.9899 - 2.94473i) q^{50} +(4.29751 - 2.48117i) q^{51} +(-0.423290 + 3.58062i) q^{52} +(2.08448 - 3.61043i) q^{53} +(0.258819 + 0.965926i) q^{54} +(-17.7732 + 10.2613i) q^{55} +(-0.212241 - 2.63722i) q^{56} +(1.02617 + 1.02617i) q^{57} +(6.00313 + 6.00313i) q^{58} +(0.242102 - 0.903539i) q^{59} +(1.04742 + 3.90903i) q^{60} +12.1085i q^{61} +(-2.05920 - 3.56664i) q^{62} +(1.71472 - 2.01488i) q^{63} -1.00000i q^{64} +(-11.4576 + 9.03503i) q^{65} +(4.39177 + 2.53559i) q^{66} +(6.50338 + 6.50338i) q^{67} +(-4.29751 - 2.48117i) q^{68} +(-2.71632 + 4.70481i) q^{69} +(6.93935 - 8.15405i) q^{70} +(-4.28503 + 1.14817i) q^{71} +(0.707107 - 0.707107i) q^{72} +(12.8347 - 3.43906i) q^{73} +(0.390659 + 0.676641i) q^{74} +(-5.68879 + 9.85327i) q^{75} +(0.375603 - 1.40177i) q^{76} +(-1.07631 - 13.3739i) q^{77} +(3.34906 + 1.33560i) q^{78} +(1.32924 + 2.30231i) q^{79} +(2.86161 - 2.86161i) q^{80} +1.00000 q^{81} +3.58252 q^{82} +(1.02375 - 1.02375i) q^{83} +(-2.60230 - 0.477555i) q^{84} +(-5.19766 - 19.3979i) q^{85} +(-9.43266 - 2.52747i) q^{86} +(7.35231 - 4.24486i) q^{87} -5.07118i q^{88} +(6.18200 - 1.65646i) q^{89} +4.04692 q^{90} +(-2.12304 - 9.30015i) q^{91} +5.43264 q^{92} +(-3.97807 + 1.06592i) q^{93} -2.94132i q^{94} +(5.08614 - 2.93649i) q^{95} +(-0.965926 - 0.258819i) q^{96} +(2.62347 + 9.79094i) q^{97} +(2.86972 + 6.38472i) q^{98} +(3.58587 - 3.58587i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(1\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 + 0.258819i −0.683013 + 0.183013i
\(3\) 1.00000i 0.577350i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 3.90903 + 1.04742i 1.74817 + 0.468421i 0.984234 0.176872i \(-0.0565978\pi\)
0.763936 + 0.645292i \(0.223264\pi\)
\(6\) −0.258819 0.965926i −0.105662 0.394338i
\(7\) −1.71472 + 2.01488i −0.648104 + 0.761552i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.00000 −0.333333
\(10\) −4.04692 −1.27975
\(11\) −3.58587 + 3.58587i −1.08118 + 1.08118i −0.0847806 + 0.996400i \(0.527019\pi\)
−0.996400 + 0.0847806i \(0.972981\pi\)
\(12\) 0.500000 + 0.866025i 0.144338 + 0.250000i
\(13\) −2.15689 + 2.88926i −0.598213 + 0.801337i
\(14\) 1.13481 2.39002i 0.303290 0.638761i
\(15\) −1.04742 + 3.90903i −0.270443 + 1.00931i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −2.48117 4.29751i −0.601772 1.04230i −0.992553 0.121816i \(-0.961128\pi\)
0.390780 0.920484i \(-0.372205\pi\)
\(18\) 0.965926 0.258819i 0.227671 0.0610042i
\(19\) 1.02617 1.02617i 0.235419 0.235419i −0.579531 0.814950i \(-0.696764\pi\)
0.814950 + 0.579531i \(0.196764\pi\)
\(20\) 3.90903 1.04742i 0.874085 0.234210i
\(21\) −2.01488 1.71472i −0.439682 0.374183i
\(22\) 2.53559 4.39177i 0.540590 0.936330i
\(23\) 4.70481 + 2.71632i 0.981020 + 0.566392i 0.902578 0.430527i \(-0.141672\pi\)
0.0784420 + 0.996919i \(0.475005\pi\)
\(24\) −0.707107 0.707107i −0.144338 0.144338i
\(25\) 9.85327 + 5.68879i 1.97065 + 1.13776i
\(26\) 1.33560 3.34906i 0.261933 0.656804i
\(27\) 1.00000i 0.192450i
\(28\) −0.477555 + 2.60230i −0.0902494 + 0.491788i
\(29\) −4.24486 7.35231i −0.788250 1.36529i −0.927038 0.374967i \(-0.877654\pi\)
0.138788 0.990322i \(-0.455679\pi\)
\(30\) 4.04692i 0.738863i
\(31\) 1.06592 + 3.97807i 0.191445 + 0.714483i 0.993159 + 0.116774i \(0.0372553\pi\)
−0.801714 + 0.597709i \(0.796078\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) −3.58587 3.58587i −0.624220 0.624220i
\(34\) 3.50891 + 3.50891i 0.601772 + 0.601772i
\(35\) −8.81332 + 6.08017i −1.48972 + 1.02774i
\(36\) −0.866025 + 0.500000i −0.144338 + 0.0833333i
\(37\) −0.202220 0.754695i −0.0332448 0.124071i 0.947309 0.320320i \(-0.103791\pi\)
−0.980554 + 0.196249i \(0.937124\pi\)
\(38\) −0.725610 + 1.25679i −0.117709 + 0.203879i
\(39\) −2.88926 2.15689i −0.462652 0.345379i
\(40\) −3.50474 + 2.02346i −0.554148 + 0.319937i
\(41\) −3.46045 0.927225i −0.540431 0.144808i −0.0217304 0.999764i \(-0.506918\pi\)
−0.518701 + 0.854956i \(0.673584\pi\)
\(42\) 2.39002 + 1.13481i 0.368789 + 0.175104i
\(43\) 8.45709 + 4.88270i 1.28969 + 0.744605i 0.978600 0.205773i \(-0.0659710\pi\)
0.311095 + 0.950379i \(0.399304\pi\)
\(44\) −1.31252 + 4.89839i −0.197870 + 0.738460i
\(45\) −3.90903 1.04742i −0.582723 0.156140i
\(46\) −5.24753 1.40607i −0.773706 0.207314i
\(47\) −0.761269 + 2.84109i −0.111043 + 0.414416i −0.998960 0.0455856i \(-0.985485\pi\)
0.887918 + 0.460002i \(0.152151\pi\)
\(48\) 0.866025 + 0.500000i 0.125000 + 0.0721688i
\(49\) −1.11945 6.90991i −0.159922 0.987130i
\(50\) −10.9899 2.94473i −1.55421 0.416448i
\(51\) 4.29751 2.48117i 0.601772 0.347433i
\(52\) −0.423290 + 3.58062i −0.0586998 + 0.496542i
\(53\) 2.08448 3.61043i 0.286325 0.495930i −0.686604 0.727031i \(-0.740899\pi\)
0.972930 + 0.231101i \(0.0742328\pi\)
\(54\) 0.258819 + 0.965926i 0.0352208 + 0.131446i
\(55\) −17.7732 + 10.2613i −2.39653 + 1.38364i
\(56\) −0.212241 2.63722i −0.0283619 0.352414i
\(57\) 1.02617 + 1.02617i 0.135919 + 0.135919i
\(58\) 6.00313 + 6.00313i 0.788250 + 0.788250i
\(59\) 0.242102 0.903539i 0.0315191 0.117631i −0.948374 0.317154i \(-0.897273\pi\)
0.979893 + 0.199523i \(0.0639394\pi\)
\(60\) 1.04742 + 3.90903i 0.135221 + 0.504653i
\(61\) 12.1085i 1.55034i 0.631753 + 0.775170i \(0.282336\pi\)
−0.631753 + 0.775170i \(0.717664\pi\)
\(62\) −2.05920 3.56664i −0.261519 0.452964i
\(63\) 1.71472 2.01488i 0.216035 0.253851i
\(64\) 1.00000i 0.125000i
\(65\) −11.4576 + 9.03503i −1.42114 + 1.12066i
\(66\) 4.39177 + 2.53559i 0.540590 + 0.312110i
\(67\) 6.50338 + 6.50338i 0.794514 + 0.794514i 0.982224 0.187710i \(-0.0601066\pi\)
−0.187710 + 0.982224i \(0.560107\pi\)
\(68\) −4.29751 2.48117i −0.521150 0.300886i
\(69\) −2.71632 + 4.70481i −0.327007 + 0.566392i
\(70\) 6.93935 8.15405i 0.829411 0.974595i
\(71\) −4.28503 + 1.14817i −0.508540 + 0.136263i −0.503960 0.863727i \(-0.668124\pi\)
−0.00457912 + 0.999990i \(0.501458\pi\)
\(72\) 0.707107 0.707107i 0.0833333 0.0833333i
\(73\) 12.8347 3.43906i 1.50219 0.402511i 0.588358 0.808600i \(-0.299774\pi\)
0.913833 + 0.406089i \(0.133108\pi\)
\(74\) 0.390659 + 0.676641i 0.0454132 + 0.0786579i
\(75\) −5.68879 + 9.85327i −0.656884 + 1.13776i
\(76\) 0.375603 1.40177i 0.0430847 0.160794i
\(77\) −1.07631 13.3739i −0.122657 1.52409i
\(78\) 3.34906 + 1.33560i 0.379206 + 0.151227i
\(79\) 1.32924 + 2.30231i 0.149551 + 0.259030i 0.931062 0.364862i \(-0.118884\pi\)
−0.781511 + 0.623892i \(0.785551\pi\)
\(80\) 2.86161 2.86161i 0.319937 0.319937i
\(81\) 1.00000 0.111111
\(82\) 3.58252 0.395623
\(83\) 1.02375 1.02375i 0.112371 0.112371i −0.648686 0.761056i \(-0.724681\pi\)
0.761056 + 0.648686i \(0.224681\pi\)
\(84\) −2.60230 0.477555i −0.283934 0.0521055i
\(85\) −5.19766 19.3979i −0.563765 2.10400i
\(86\) −9.43266 2.52747i −1.01715 0.272545i
\(87\) 7.35231 4.24486i 0.788250 0.455096i
\(88\) 5.07118i 0.540590i
\(89\) 6.18200 1.65646i 0.655291 0.175585i 0.0841709 0.996451i \(-0.473176\pi\)
0.571120 + 0.820867i \(0.306509\pi\)
\(90\) 4.04692 0.426583
\(91\) −2.12304 9.30015i −0.222555 0.974920i
\(92\) 5.43264 0.566392
\(93\) −3.97807 + 1.06592i −0.412507 + 0.110531i
\(94\) 2.94132i 0.303374i
\(95\) 5.08614 2.93649i 0.521827 0.301277i
\(96\) −0.965926 0.258819i −0.0985844 0.0264156i
\(97\) 2.62347 + 9.79094i 0.266374 + 0.994119i 0.961404 + 0.275139i \(0.0887240\pi\)
−0.695031 + 0.718980i \(0.744609\pi\)
\(98\) 2.86972 + 6.38472i 0.289886 + 0.644954i
\(99\) 3.58587 3.58587i 0.360393 0.360393i
\(100\) 11.3776 1.13776
\(101\) 3.92532 0.390584 0.195292 0.980745i \(-0.437435\pi\)
0.195292 + 0.980745i \(0.437435\pi\)
\(102\) −3.50891 + 3.50891i −0.347433 + 0.347433i
\(103\) −3.52526 6.10594i −0.347355 0.601636i 0.638424 0.769685i \(-0.279587\pi\)
−0.985779 + 0.168049i \(0.946253\pi\)
\(104\) −0.517865 3.56817i −0.0507808 0.349888i
\(105\) −6.08017 8.81332i −0.593364 0.860092i
\(106\) −1.07901 + 4.02691i −0.104802 + 0.391128i
\(107\) 3.96798 6.87275i 0.383599 0.664413i −0.607975 0.793957i \(-0.708018\pi\)
0.991574 + 0.129543i \(0.0413511\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) 2.77491 0.743535i 0.265788 0.0712177i −0.123464 0.992349i \(-0.539400\pi\)
0.389252 + 0.921131i \(0.372734\pi\)
\(110\) 14.5117 14.5117i 1.38364 1.38364i
\(111\) 0.754695 0.202220i 0.0716325 0.0191939i
\(112\) 0.887573 + 2.49243i 0.0838678 + 0.235513i
\(113\) −4.74902 + 8.22554i −0.446750 + 0.773793i −0.998172 0.0604327i \(-0.980752\pi\)
0.551422 + 0.834226i \(0.314085\pi\)
\(114\) −1.25679 0.725610i −0.117709 0.0679596i
\(115\) 15.5461 + 15.5461i 1.44968 + 1.44968i
\(116\) −7.35231 4.24486i −0.682644 0.394125i
\(117\) 2.15689 2.88926i 0.199404 0.267112i
\(118\) 0.935412i 0.0861117i
\(119\) 12.9135 + 2.36979i 1.18378 + 0.217238i
\(120\) −2.02346 3.50474i −0.184716 0.319937i
\(121\) 14.7169i 1.33790i
\(122\) −3.13392 11.6960i −0.283732 1.05890i
\(123\) 0.927225 3.46045i 0.0836050 0.312018i
\(124\) 2.91215 + 2.91215i 0.261519 + 0.261519i
\(125\) 18.2501 + 18.2501i 1.63234 + 1.63234i
\(126\) −1.13481 + 2.39002i −0.101097 + 0.212920i
\(127\) −12.2743 + 7.08657i −1.08917 + 0.628831i −0.933355 0.358955i \(-0.883133\pi\)
−0.155813 + 0.987787i \(0.549800\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −4.88270 + 8.45709i −0.429898 + 0.744605i
\(130\) 8.72876 11.6926i 0.765563 1.02551i
\(131\) 8.60736 4.96946i 0.752029 0.434184i −0.0743977 0.997229i \(-0.523703\pi\)
0.826427 + 0.563045i \(0.190370\pi\)
\(132\) −4.89839 1.31252i −0.426350 0.114240i
\(133\) 0.308008 + 3.82719i 0.0267077 + 0.331860i
\(134\) −7.96498 4.59858i −0.688069 0.397257i
\(135\) 1.04742 3.90903i 0.0901476 0.336435i
\(136\) 4.79325 + 1.28435i 0.411018 + 0.110132i
\(137\) 17.0632 + 4.57208i 1.45781 + 0.390619i 0.898733 0.438496i \(-0.144489\pi\)
0.559078 + 0.829115i \(0.311155\pi\)
\(138\) 1.40607 5.24753i 0.119693 0.446699i
\(139\) −11.0687 6.39049i −0.938831 0.542035i −0.0492377 0.998787i \(-0.515679\pi\)
−0.889594 + 0.456752i \(0.849013\pi\)
\(140\) −4.59247 + 9.67224i −0.388135 + 0.817453i
\(141\) −2.84109 0.761269i −0.239263 0.0641104i
\(142\) 3.84185 2.21809i 0.322401 0.186138i
\(143\) −2.62619 18.0948i −0.219613 1.51317i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) −8.89230 33.1865i −0.738465 2.75599i
\(146\) −11.5073 + 6.64375i −0.952351 + 0.549840i
\(147\) 6.90991 1.11945i 0.569920 0.0923310i
\(148\) −0.552475 0.552475i −0.0454132 0.0454132i
\(149\) 8.24822 + 8.24822i 0.675720 + 0.675720i 0.959029 0.283309i \(-0.0914320\pi\)
−0.283309 + 0.959029i \(0.591432\pi\)
\(150\) 2.94473 10.9899i 0.240436 0.897321i
\(151\) −4.29660 16.0351i −0.349652 1.30492i −0.887082 0.461611i \(-0.847271\pi\)
0.537430 0.843308i \(-0.319395\pi\)
\(152\) 1.45122i 0.117709i
\(153\) 2.48117 + 4.29751i 0.200591 + 0.347433i
\(154\) 4.50105 + 12.6396i 0.362705 + 1.01853i
\(155\) 16.6668i 1.33871i
\(156\) −3.58062 0.423290i −0.286679 0.0338904i
\(157\) 19.4589 + 11.2346i 1.55299 + 0.896620i 0.997896 + 0.0648334i \(0.0206516\pi\)
0.555095 + 0.831787i \(0.312682\pi\)
\(158\) −1.87983 1.87983i −0.149551 0.149551i
\(159\) 3.61043 + 2.08448i 0.286325 + 0.165310i
\(160\) −2.02346 + 3.50474i −0.159969 + 0.277074i
\(161\) −13.5405 + 4.82187i −1.06714 + 0.380016i
\(162\) −0.965926 + 0.258819i −0.0758903 + 0.0203347i
\(163\) −0.539939 + 0.539939i −0.0422913 + 0.0422913i −0.727936 0.685645i \(-0.759520\pi\)
0.685645 + 0.727936i \(0.259520\pi\)
\(164\) −3.46045 + 0.927225i −0.270216 + 0.0724041i
\(165\) −10.2613 17.7732i −0.798844 1.38364i
\(166\) −0.723897 + 1.25383i −0.0561853 + 0.0973158i
\(167\) −0.00377911 + 0.0141038i −0.000292436 + 0.00109139i −0.966072 0.258273i \(-0.916846\pi\)
0.965779 + 0.259365i \(0.0835132\pi\)
\(168\) 2.63722 0.212241i 0.203466 0.0163747i
\(169\) −3.69566 12.4636i −0.284281 0.958741i
\(170\) 10.0411 + 17.3917i 0.770117 + 1.33388i
\(171\) −1.02617 + 1.02617i −0.0784730 + 0.0784730i
\(172\) 9.76541 0.744605
\(173\) 7.23453 0.550031 0.275016 0.961440i \(-0.411317\pi\)
0.275016 + 0.961440i \(0.411317\pi\)
\(174\) −6.00313 + 6.00313i −0.455096 + 0.455096i
\(175\) −28.3578 + 10.0984i −2.14365 + 0.763369i
\(176\) 1.31252 + 4.89839i 0.0989349 + 0.369230i
\(177\) 0.903539 + 0.242102i 0.0679141 + 0.0181975i
\(178\) −5.54263 + 3.20004i −0.415438 + 0.239853i
\(179\) 16.1216i 1.20499i −0.798123 0.602494i \(-0.794174\pi\)
0.798123 0.602494i \(-0.205826\pi\)
\(180\) −3.90903 + 1.04742i −0.291362 + 0.0780701i
\(181\) 6.35633 0.472462 0.236231 0.971697i \(-0.424088\pi\)
0.236231 + 0.971697i \(0.424088\pi\)
\(182\) 4.45775 + 8.43377i 0.330430 + 0.625153i
\(183\) −12.1085 −0.895089
\(184\) −5.24753 + 1.40607i −0.386853 + 0.103657i
\(185\) 3.16193i 0.232470i
\(186\) 3.56664 2.05920i 0.261519 0.150988i
\(187\) 24.3075 + 6.51317i 1.77754 + 0.476290i
\(188\) 0.761269 + 2.84109i 0.0555213 + 0.207208i
\(189\) 2.01488 + 1.71472i 0.146561 + 0.124728i
\(190\) −4.15282 + 4.15282i −0.301277 + 0.301277i
\(191\) −20.8379 −1.50778 −0.753888 0.657003i \(-0.771824\pi\)
−0.753888 + 0.657003i \(0.771824\pi\)
\(192\) 1.00000 0.0721688
\(193\) −7.59633 + 7.59633i −0.546796 + 0.546796i −0.925513 0.378717i \(-0.876365\pi\)
0.378717 + 0.925513i \(0.376365\pi\)
\(194\) −5.06816 8.77832i −0.363873 0.630246i
\(195\) −9.03503 11.4576i −0.647012 0.820496i
\(196\) −4.42443 5.42443i −0.316031 0.387459i
\(197\) 3.04663 11.3702i 0.217063 0.810092i −0.768367 0.640010i \(-0.778930\pi\)
0.985430 0.170082i \(-0.0544032\pi\)
\(198\) −2.53559 + 4.39177i −0.180197 + 0.312110i
\(199\) −9.71131 16.8205i −0.688417 1.19237i −0.972350 0.233528i \(-0.924973\pi\)
0.283933 0.958844i \(-0.408361\pi\)
\(200\) −10.9899 + 2.94473i −0.777103 + 0.208224i
\(201\) −6.50338 + 6.50338i −0.458713 + 0.458713i
\(202\) −3.79157 + 1.01595i −0.266774 + 0.0714818i
\(203\) 22.0927 + 4.05430i 1.55061 + 0.284556i
\(204\) 2.48117 4.29751i 0.173717 0.300886i
\(205\) −12.5558 7.24909i −0.876934 0.506298i
\(206\) 4.98548 + 4.98548i 0.347355 + 0.347355i
\(207\) −4.70481 2.71632i −0.327007 0.188797i
\(208\) 1.42373 + 3.31255i 0.0987178 + 0.229684i
\(209\) 7.35940i 0.509061i
\(210\) 8.15405 + 6.93935i 0.562683 + 0.478860i
\(211\) −1.69854 2.94196i −0.116932 0.202533i 0.801618 0.597836i \(-0.203973\pi\)
−0.918551 + 0.395304i \(0.870639\pi\)
\(212\) 4.16896i 0.286325i
\(213\) −1.14817 4.28503i −0.0786713 0.293605i
\(214\) −2.05398 + 7.66555i −0.140407 + 0.524006i
\(215\) 27.9447 + 27.9447i 1.90582 + 1.90582i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) −9.84308 4.67359i −0.668192 0.317264i
\(218\) −2.48792 + 1.43640i −0.168503 + 0.0972852i
\(219\) 3.43906 + 12.8347i 0.232390 + 0.867291i
\(220\) −10.2613 + 17.7732i −0.691820 + 1.19827i
\(221\) 17.7682 + 2.10051i 1.19522 + 0.141296i
\(222\) −0.676641 + 0.390659i −0.0454132 + 0.0262193i
\(223\) 18.6599 + 4.99990i 1.24956 + 0.334818i 0.822166 0.569248i \(-0.192765\pi\)
0.427393 + 0.904066i \(0.359432\pi\)
\(224\) −1.50242 2.17778i −0.100385 0.145509i
\(225\) −9.85327 5.68879i −0.656884 0.379252i
\(226\) 2.45827 9.17439i 0.163522 0.610272i
\(227\) −0.675293 0.180944i −0.0448208 0.0120097i 0.236339 0.971671i \(-0.424052\pi\)
−0.281160 + 0.959661i \(0.590719\pi\)
\(228\) 1.40177 + 0.375603i 0.0928345 + 0.0248749i
\(229\) −3.70519 + 13.8280i −0.244846 + 0.913778i 0.728615 + 0.684924i \(0.240164\pi\)
−0.973461 + 0.228854i \(0.926502\pi\)
\(230\) −19.0400 10.9927i −1.25546 0.724840i
\(231\) 13.3739 1.07631i 0.879935 0.0708162i
\(232\) 8.20043 + 2.19730i 0.538385 + 0.144260i
\(233\) 14.6943 8.48375i 0.962655 0.555789i 0.0656657 0.997842i \(-0.479083\pi\)
0.896989 + 0.442053i \(0.145750\pi\)
\(234\) −1.33560 + 3.34906i −0.0873109 + 0.218935i
\(235\) −5.95164 + 10.3085i −0.388242 + 0.672455i
\(236\) −0.242102 0.903539i −0.0157595 0.0588154i
\(237\) −2.30231 + 1.32924i −0.149551 + 0.0863433i
\(238\) −13.0868 + 1.05321i −0.848292 + 0.0682696i
\(239\) −10.9179 10.9179i −0.706219 0.706219i 0.259519 0.965738i \(-0.416436\pi\)
−0.965738 + 0.259519i \(0.916436\pi\)
\(240\) 2.86161 + 2.86161i 0.184716 + 0.184716i
\(241\) 0.0901532 0.336456i 0.00580728 0.0216731i −0.962961 0.269639i \(-0.913096\pi\)
0.968769 + 0.247966i \(0.0797622\pi\)
\(242\) 3.80902 + 14.2154i 0.244853 + 0.913804i
\(243\) 1.00000i 0.0641500i
\(244\) 6.05427 + 10.4863i 0.387585 + 0.671317i
\(245\) 2.86161 28.1835i 0.182821 1.80058i
\(246\) 3.58252i 0.228413i
\(247\) 0.751536 + 5.17819i 0.0478191 + 0.329481i
\(248\) −3.56664 2.05920i −0.226482 0.130759i
\(249\) 1.02375 + 1.02375i 0.0648772 + 0.0648772i
\(250\) −22.3517 12.9048i −1.41365 0.816169i
\(251\) 0.267758 0.463770i 0.0169007 0.0292729i −0.857451 0.514565i \(-0.827953\pi\)
0.874352 + 0.485292i \(0.161287\pi\)
\(252\) 0.477555 2.60230i 0.0300831 0.163929i
\(253\) −26.6112 + 7.13045i −1.67303 + 0.448287i
\(254\) 10.0219 10.0219i 0.628831 0.628831i
\(255\) 19.3979 5.19766i 1.21474 0.325490i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 10.6194 18.3934i 0.662422 1.14735i −0.317556 0.948240i \(-0.602862\pi\)
0.979978 0.199108i \(-0.0638045\pi\)
\(258\) 2.52747 9.43266i 0.157354 0.587252i
\(259\) 1.86737 + 0.886644i 0.116033 + 0.0550934i
\(260\) −5.40507 + 13.5534i −0.335208 + 0.840544i
\(261\) 4.24486 + 7.35231i 0.262750 + 0.455096i
\(262\) −7.02788 + 7.02788i −0.434184 + 0.434184i
\(263\) −12.4316 −0.766563 −0.383281 0.923632i \(-0.625206\pi\)
−0.383281 + 0.923632i \(0.625206\pi\)
\(264\) 5.07118 0.312110
\(265\) 11.9299 11.9299i 0.732849 0.732849i
\(266\) −1.28806 3.61707i −0.0789762 0.221777i
\(267\) 1.65646 + 6.18200i 0.101374 + 0.378332i
\(268\) 8.88378 + 2.38040i 0.542663 + 0.145406i
\(269\) 8.69727 5.02137i 0.530282 0.306158i −0.210849 0.977519i \(-0.567623\pi\)
0.741131 + 0.671360i \(0.234290\pi\)
\(270\) 4.04692i 0.246288i
\(271\) 18.7150 5.01468i 1.13686 0.304620i 0.359171 0.933272i \(-0.383060\pi\)
0.777687 + 0.628652i \(0.216393\pi\)
\(272\) −4.96234 −0.300886
\(273\) 9.30015 2.12304i 0.562870 0.128492i
\(274\) −17.6652 −1.06719
\(275\) −55.7318 + 14.9333i −3.36075 + 0.900511i
\(276\) 5.43264i 0.327007i
\(277\) 19.3451 11.1689i 1.16233 0.671073i 0.210471 0.977600i \(-0.432500\pi\)
0.951862 + 0.306527i \(0.0991669\pi\)
\(278\) 12.3455 + 3.30796i 0.740433 + 0.198398i
\(279\) −1.06592 3.97807i −0.0638150 0.238161i
\(280\) 1.93263 10.5313i 0.115497 0.629365i
\(281\) −19.3688 + 19.3688i −1.15545 + 1.15545i −0.170002 + 0.985444i \(0.554378\pi\)
−0.985444 + 0.170002i \(0.945622\pi\)
\(282\) 2.94132 0.175153
\(283\) −11.1732 −0.664181 −0.332090 0.943248i \(-0.607754\pi\)
−0.332090 + 0.943248i \(0.607754\pi\)
\(284\) −3.13686 + 3.13686i −0.186138 + 0.186138i
\(285\) 2.93649 + 5.08614i 0.173942 + 0.301277i
\(286\) 7.21999 + 16.7986i 0.426927 + 0.993320i
\(287\) 7.80195 5.38244i 0.460535 0.317716i
\(288\) 0.258819 0.965926i 0.0152511 0.0569177i
\(289\) −3.81242 + 6.60330i −0.224260 + 0.388429i
\(290\) 17.1786 + 29.7542i 1.00876 + 1.74723i
\(291\) −9.79094 + 2.62347i −0.573955 + 0.153791i
\(292\) 9.39568 9.39568i 0.549840 0.549840i
\(293\) −19.1845 + 5.14048i −1.12077 + 0.300310i −0.771196 0.636598i \(-0.780341\pi\)
−0.349577 + 0.936908i \(0.613675\pi\)
\(294\) −6.38472 + 2.86972i −0.372365 + 0.167366i
\(295\) 1.89277 3.27837i 0.110201 0.190874i
\(296\) 0.676641 + 0.390659i 0.0393290 + 0.0227066i
\(297\) 3.58587 + 3.58587i 0.208073 + 0.208073i
\(298\) −10.1020 5.83237i −0.585191 0.337860i
\(299\) −17.9959 + 7.73461i −1.04073 + 0.447304i
\(300\) 11.3776i 0.656884i
\(301\) −24.3396 + 8.66751i −1.40291 + 0.499587i
\(302\) 8.30039 + 14.3767i 0.477634 + 0.827286i
\(303\) 3.92532i 0.225504i
\(304\) −0.375603 1.40177i −0.0215423 0.0803971i
\(305\) −12.6827 + 47.3326i −0.726211 + 2.71026i
\(306\) −3.50891 3.50891i −0.200591 0.200591i
\(307\) −2.00335 2.00335i −0.114337 0.114337i 0.647623 0.761961i \(-0.275763\pi\)
−0.761961 + 0.647623i \(0.775763\pi\)
\(308\) −7.61904 11.0439i −0.434135 0.629287i
\(309\) 6.10594 3.52526i 0.347355 0.200545i
\(310\) −4.31370 16.0989i −0.245002 0.914358i
\(311\) −10.4635 + 18.1233i −0.593332 + 1.02768i 0.400448 + 0.916319i \(0.368854\pi\)
−0.993780 + 0.111361i \(0.964479\pi\)
\(312\) 3.56817 0.517865i 0.202008 0.0293183i
\(313\) −22.2663 + 12.8554i −1.25856 + 0.726632i −0.972795 0.231666i \(-0.925582\pi\)
−0.285769 + 0.958299i \(0.592249\pi\)
\(314\) −21.7036 5.81547i −1.22481 0.328186i
\(315\) 8.81332 6.08017i 0.496574 0.342579i
\(316\) 2.30231 + 1.32924i 0.129515 + 0.0747755i
\(317\) 8.42624 31.4472i 0.473265 1.76625i −0.154653 0.987969i \(-0.549426\pi\)
0.627918 0.778280i \(-0.283907\pi\)
\(318\) −4.02691 1.07901i −0.225818 0.0605077i
\(319\) 41.5859 + 11.1429i 2.32836 + 0.623883i
\(320\) 1.04742 3.90903i 0.0585526 0.218521i
\(321\) 6.87275 + 3.96798i 0.383599 + 0.221471i
\(322\) 11.8311 8.16210i 0.659322 0.454856i
\(323\) −6.95606 1.86387i −0.387046 0.103709i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) −37.6888 + 16.1986i −2.09060 + 0.898535i
\(326\) 0.381795 0.661288i 0.0211456 0.0366253i
\(327\) 0.743535 + 2.77491i 0.0411176 + 0.153453i
\(328\) 3.10255 1.79126i 0.171310 0.0989058i
\(329\) −4.41909 6.40555i −0.243632 0.353150i
\(330\) 14.5117 + 14.5117i 0.798844 + 0.798844i
\(331\) 12.8665 + 12.8665i 0.707209 + 0.707209i 0.965947 0.258738i \(-0.0833067\pi\)
−0.258738 + 0.965947i \(0.583307\pi\)
\(332\) 0.374717 1.39846i 0.0205653 0.0767506i
\(333\) 0.202220 + 0.754695i 0.0110816 + 0.0413570i
\(334\) 0.0146014i 0.000798951i
\(335\) 18.6101 + 32.2336i 1.01678 + 1.76111i
\(336\) −2.49243 + 0.887573i −0.135973 + 0.0484211i
\(337\) 6.02776i 0.328353i −0.986431 0.164177i \(-0.947503\pi\)
0.986431 0.164177i \(-0.0524967\pi\)
\(338\) 6.79556 + 11.0824i 0.369630 + 0.602805i
\(339\) −8.22554 4.74902i −0.446750 0.257931i
\(340\) −14.2003 14.2003i −0.770117 0.770117i
\(341\) −18.0871 10.4426i −0.979471 0.565498i
\(342\) 0.725610 1.25679i 0.0392365 0.0679596i
\(343\) 15.8422 + 9.59301i 0.855396 + 0.517974i
\(344\) −9.43266 + 2.52747i −0.508575 + 0.136272i
\(345\) −15.5461 + 15.5461i −0.836973 + 0.836973i
\(346\) −6.98802 + 1.87243i −0.375678 + 0.100663i
\(347\) −15.1018 26.1572i −0.810710 1.40419i −0.912368 0.409371i \(-0.865748\pi\)
0.101658 0.994819i \(-0.467585\pi\)
\(348\) 4.24486 7.35231i 0.227548 0.394125i
\(349\) 4.66318 17.4032i 0.249614 0.931573i −0.721394 0.692525i \(-0.756498\pi\)
0.971008 0.239048i \(-0.0768352\pi\)
\(350\) 24.7779 17.0939i 1.32443 0.913706i
\(351\) 2.88926 + 2.15689i 0.154217 + 0.115126i
\(352\) −2.53559 4.39177i −0.135148 0.234082i
\(353\) −1.18597 + 1.18597i −0.0631230 + 0.0631230i −0.737964 0.674841i \(-0.764212\pi\)
0.674841 + 0.737964i \(0.264212\pi\)
\(354\) −0.935412 −0.0497166
\(355\) −17.9529 −0.952842
\(356\) 4.52554 4.52554i 0.239853 0.239853i
\(357\) −2.36979 + 12.9135i −0.125423 + 0.683454i
\(358\) 4.17259 + 15.5723i 0.220528 + 0.823022i
\(359\) 0.214530 + 0.0574832i 0.0113225 + 0.00303385i 0.264476 0.964392i \(-0.414801\pi\)
−0.253153 + 0.967426i \(0.581468\pi\)
\(360\) 3.50474 2.02346i 0.184716 0.106646i
\(361\) 16.8940i 0.889156i
\(362\) −6.13974 + 1.64514i −0.322698 + 0.0864666i
\(363\) 14.7169 0.772438
\(364\) −6.48868 6.99264i −0.340099 0.366514i
\(365\) 53.7734 2.81463
\(366\) 11.6960 3.13392i 0.611357 0.163813i
\(367\) 8.43917i 0.440521i 0.975441 + 0.220261i \(0.0706907\pi\)
−0.975441 + 0.220261i \(0.929309\pi\)
\(368\) 4.70481 2.71632i 0.245255 0.141598i
\(369\) 3.46045 + 0.927225i 0.180144 + 0.0482694i
\(370\) 0.818368 + 3.05419i 0.0425449 + 0.158780i
\(371\) 3.70026 + 10.3909i 0.192108 + 0.539466i
\(372\) −2.91215 + 2.91215i −0.150988 + 0.150988i
\(373\) −10.2853 −0.532551 −0.266275 0.963897i \(-0.585793\pi\)
−0.266275 + 0.963897i \(0.585793\pi\)
\(374\) −25.1649 −1.30125
\(375\) −18.2501 + 18.2501i −0.942431 + 0.942431i
\(376\) −1.47066 2.54726i −0.0758434 0.131365i
\(377\) 30.3984 + 3.59361i 1.56560 + 0.185081i
\(378\) −2.39002 1.13481i −0.122930 0.0583681i
\(379\) 6.02799 22.4968i 0.309637 1.15558i −0.619243 0.785199i \(-0.712560\pi\)
0.928880 0.370381i \(-0.120773\pi\)
\(380\) 2.93649 5.08614i 0.150639 0.260914i
\(381\) −7.08657 12.2743i −0.363056 0.628831i
\(382\) 20.1278 5.39324i 1.02983 0.275942i
\(383\) −5.45036 + 5.45036i −0.278500 + 0.278500i −0.832510 0.554010i \(-0.813097\pi\)
0.554010 + 0.832510i \(0.313097\pi\)
\(384\) −0.965926 + 0.258819i −0.0492922 + 0.0132078i
\(385\) 9.80071 53.4061i 0.499491 2.72183i
\(386\) 5.37141 9.30356i 0.273398 0.473539i
\(387\) −8.45709 4.88270i −0.429898 0.248202i
\(388\) 7.16747 + 7.16747i 0.363873 + 0.363873i
\(389\) −22.8006 13.1639i −1.15604 0.667438i −0.205686 0.978618i \(-0.565943\pi\)
−0.950351 + 0.311180i \(0.899276\pi\)
\(390\) 11.6926 + 8.72876i 0.592078 + 0.441998i
\(391\) 26.9586i 1.36336i
\(392\) 5.67762 + 4.09447i 0.286763 + 0.206802i
\(393\) 4.96946 + 8.60736i 0.250676 + 0.434184i
\(394\) 11.7713i 0.593028i
\(395\) 2.78454 + 10.3921i 0.140106 + 0.522881i
\(396\) 1.31252 4.89839i 0.0659566 0.246153i
\(397\) 7.39270 + 7.39270i 0.371029 + 0.371029i 0.867852 0.496823i \(-0.165500\pi\)
−0.496823 + 0.867852i \(0.665500\pi\)
\(398\) 13.7339 + 13.7339i 0.688417 + 0.688417i
\(399\) −3.82719 + 0.308008i −0.191599 + 0.0154197i
\(400\) 9.85327 5.68879i 0.492663 0.284439i
\(401\) −2.65406 9.90509i −0.132537 0.494636i 0.867458 0.497510i \(-0.165752\pi\)
−0.999996 + 0.00287326i \(0.999085\pi\)
\(402\) 4.59858 7.96498i 0.229356 0.397257i
\(403\) −13.7928 5.50053i −0.687066 0.274001i
\(404\) 3.39942 1.96266i 0.169128 0.0976459i
\(405\) 3.90903 + 1.04742i 0.194241 + 0.0520467i
\(406\) −22.3893 + 1.80186i −1.11116 + 0.0894250i
\(407\) 3.43137 + 1.98110i 0.170087 + 0.0981997i
\(408\) −1.28435 + 4.79325i −0.0635847 + 0.237301i
\(409\) 15.0571 + 4.03454i 0.744526 + 0.199495i 0.611089 0.791562i \(-0.290732\pi\)
0.133437 + 0.991057i \(0.457399\pi\)
\(410\) 14.0042 + 3.75240i 0.691616 + 0.185318i
\(411\) −4.57208 + 17.0632i −0.225524 + 0.841668i
\(412\) −6.10594 3.52526i −0.300818 0.173677i
\(413\) 1.40538 + 2.03712i 0.0691542 + 0.100240i
\(414\) 5.24753 + 1.40607i 0.257902 + 0.0691046i
\(415\) 5.07414 2.92955i 0.249080 0.143806i
\(416\) −2.23257 2.83119i −0.109461 0.138811i
\(417\) 6.39049 11.0687i 0.312944 0.542035i
\(418\) −1.90475 7.10864i −0.0931645 0.347695i
\(419\) −14.7689 + 8.52681i −0.721506 + 0.416562i −0.815307 0.579029i \(-0.803432\pi\)
0.0938005 + 0.995591i \(0.470098\pi\)
\(420\) −9.67224 4.59247i −0.471957 0.224090i
\(421\) −22.4757 22.4757i −1.09540 1.09540i −0.994941 0.100458i \(-0.967969\pi\)
−0.100458 0.994941i \(-0.532031\pi\)
\(422\) 2.40210 + 2.40210i 0.116932 + 0.116932i
\(423\) 0.761269 2.84109i 0.0370142 0.138139i
\(424\) 1.07901 + 4.02691i 0.0524012 + 0.195564i
\(425\) 56.4594i 2.73868i
\(426\) 2.21809 + 3.84185i 0.107467 + 0.186138i
\(427\) −24.3972 20.7628i −1.18066 1.00478i
\(428\) 7.93596i 0.383599i
\(429\) 18.0948 2.62619i 0.873627 0.126794i
\(430\) −34.2252 19.7599i −1.65049 0.952908i
\(431\) 19.0284 + 19.0284i 0.916566 + 0.916566i 0.996778 0.0802121i \(-0.0255598\pi\)
−0.0802121 + 0.996778i \(0.525560\pi\)
\(432\) −0.866025 0.500000i −0.0416667 0.0240563i
\(433\) 10.8841 18.8518i 0.523055 0.905958i −0.476585 0.879128i \(-0.658126\pi\)
0.999640 0.0268294i \(-0.00854110\pi\)
\(434\) 10.7173 + 1.96676i 0.514447 + 0.0944077i
\(435\) 33.1865 8.89230i 1.59117 0.426353i
\(436\) 2.03137 2.03137i 0.0972852 0.0972852i
\(437\) 7.61532 2.04052i 0.364290 0.0976112i
\(438\) −6.64375 11.5073i −0.317450 0.549840i
\(439\) −0.827717 + 1.43365i −0.0395048 + 0.0684243i −0.885102 0.465398i \(-0.845911\pi\)
0.845597 + 0.533822i \(0.179245\pi\)
\(440\) 5.31166 19.8234i 0.253224 0.945043i
\(441\) 1.11945 + 6.90991i 0.0533073 + 0.329043i
\(442\) −17.7065 + 2.56982i −0.842211 + 0.122234i
\(443\) −14.7088 25.4763i −0.698835 1.21042i −0.968871 0.247567i \(-0.920369\pi\)
0.270036 0.962850i \(-0.412965\pi\)
\(444\) 0.552475 0.552475i 0.0262193 0.0262193i
\(445\) 25.9006 1.22781
\(446\) −19.3181 −0.914741
\(447\) −8.24822 + 8.24822i −0.390127 + 0.390127i
\(448\) 2.01488 + 1.71472i 0.0951940 + 0.0810130i
\(449\) −8.91712 33.2791i −0.420825 1.57054i −0.772875 0.634559i \(-0.781182\pi\)
0.352050 0.935981i \(-0.385485\pi\)
\(450\) 10.9899 + 2.94473i 0.518068 + 0.138816i
\(451\) 15.7336 9.08381i 0.740867 0.427740i
\(452\) 9.49803i 0.446750i
\(453\) 16.0351 4.29660i 0.753396 0.201872i
\(454\) 0.699115 0.0328111
\(455\) 1.44216 38.5782i 0.0676093 1.80857i
\(456\) −1.45122 −0.0679596
\(457\) −1.01758 + 0.272661i −0.0476006 + 0.0127545i −0.282541 0.959255i \(-0.591177\pi\)
0.234940 + 0.972010i \(0.424511\pi\)
\(458\) 14.3158i 0.668932i
\(459\) −4.29751 + 2.48117i −0.200591 + 0.115811i
\(460\) 21.2363 + 5.69026i 0.990149 + 0.265310i
\(461\) 5.12435 + 19.1243i 0.238665 + 0.890709i 0.976462 + 0.215687i \(0.0691992\pi\)
−0.737798 + 0.675022i \(0.764134\pi\)
\(462\) −12.6396 + 4.50105i −0.588046 + 0.209408i
\(463\) 1.31618 1.31618i 0.0611683 0.0611683i −0.675861 0.737029i \(-0.736228\pi\)
0.737029 + 0.675861i \(0.236228\pi\)
\(464\) −8.48971 −0.394125
\(465\) −16.6668 −0.772906
\(466\) −11.9978 + 11.9978i −0.555789 + 0.555789i
\(467\) 11.3114 + 19.5920i 0.523431 + 0.906609i 0.999628 + 0.0272707i \(0.00868162\pi\)
−0.476197 + 0.879339i \(0.657985\pi\)
\(468\) 0.423290 3.58062i 0.0195666 0.165514i
\(469\) −24.2550 + 1.95201i −1.11999 + 0.0901356i
\(470\) 3.08080 11.4977i 0.142107 0.530349i
\(471\) −11.2346 + 19.4589i −0.517664 + 0.896620i
\(472\) 0.467706 + 0.810091i 0.0215279 + 0.0372874i
\(473\) −47.8348 + 12.8173i −2.19944 + 0.589339i
\(474\) 1.87983 1.87983i 0.0863433 0.0863433i
\(475\) 15.9487 4.27345i 0.731779 0.196080i
\(476\) 12.3683 4.40444i 0.566900 0.201877i
\(477\) −2.08448 + 3.61043i −0.0954418 + 0.165310i
\(478\) 13.3716 + 7.72011i 0.611604 + 0.353110i
\(479\) 18.4101 + 18.4101i 0.841178 + 0.841178i 0.989012 0.147834i \(-0.0472302\pi\)
−0.147834 + 0.989012i \(0.547230\pi\)
\(480\) −3.50474 2.02346i −0.159969 0.0923579i
\(481\) 2.61668 + 1.04353i 0.119310 + 0.0475808i
\(482\) 0.348325i 0.0158658i
\(483\) −4.82187 13.5405i −0.219402 0.616114i
\(484\) −7.35846 12.7452i −0.334475 0.579328i
\(485\) 41.0209i 1.86266i
\(486\) −0.258819 0.965926i −0.0117403 0.0438153i
\(487\) 0.697795 2.60421i 0.0316201 0.118008i −0.948312 0.317340i \(-0.897210\pi\)
0.979932 + 0.199332i \(0.0638772\pi\)
\(488\) −8.56203 8.56203i −0.387585 0.387585i
\(489\) −0.539939 0.539939i −0.0244169 0.0244169i
\(490\) 4.53034 + 27.9639i 0.204660 + 1.26328i
\(491\) 27.0819 15.6357i 1.22219 0.705631i 0.256804 0.966463i \(-0.417330\pi\)
0.965384 + 0.260832i \(0.0839970\pi\)
\(492\) −0.927225 3.46045i −0.0418025 0.156009i
\(493\) −21.0644 + 36.4846i −0.948694 + 1.64319i
\(494\) −2.06614 4.80724i −0.0929602 0.216288i
\(495\) 17.7732 10.2613i 0.798844 0.461213i
\(496\) 3.97807 + 1.06592i 0.178621 + 0.0478613i
\(497\) 5.03422 10.6026i 0.225815 0.475592i
\(498\) −1.25383 0.723897i −0.0561853 0.0324386i
\(499\) 0.680186 2.53849i 0.0304493 0.113638i −0.949029 0.315190i \(-0.897932\pi\)
0.979478 + 0.201552i \(0.0645984\pi\)
\(500\) 24.9301 + 6.68000i 1.11491 + 0.298739i
\(501\) −0.0141038 0.00377911i −0.000630113 0.000168838i
\(502\) −0.138602 + 0.517268i −0.00618609 + 0.0230868i
\(503\) 28.0460 + 16.1924i 1.25051 + 0.721982i 0.971211 0.238222i \(-0.0765646\pi\)
0.279299 + 0.960204i \(0.409898\pi\)
\(504\) 0.212241 + 2.63722i 0.00945396 + 0.117471i
\(505\) 15.3442 + 4.11146i 0.682807 + 0.182957i
\(506\) 23.8589 13.7750i 1.06066 0.612372i
\(507\) 12.4636 3.69566i 0.553529 0.164130i
\(508\) −7.08657 + 12.2743i −0.314416 + 0.544584i
\(509\) 6.11884 + 22.8358i 0.271213 + 1.01218i 0.958337 + 0.285640i \(0.0922061\pi\)
−0.687124 + 0.726540i \(0.741127\pi\)
\(510\) −17.3917 + 10.0411i −0.770117 + 0.444627i
\(511\) −15.0787 + 31.7574i −0.667044 + 1.40487i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −1.02617 1.02617i −0.0453064 0.0453064i
\(514\) −5.49702 + 20.5152i −0.242463 + 0.904885i
\(515\) −7.38487 27.5607i −0.325416 1.21447i
\(516\) 9.76541i 0.429898i
\(517\) −7.45798 12.9176i −0.328002 0.568116i
\(518\) −2.03322 0.373122i −0.0893345 0.0163941i
\(519\) 7.23453i 0.317561i
\(520\) 1.71302 14.4905i 0.0751210 0.635450i
\(521\) −5.65413 3.26442i −0.247712 0.143017i 0.371004 0.928631i \(-0.379014\pi\)
−0.618716 + 0.785615i \(0.712347\pi\)
\(522\) −6.00313 6.00313i −0.262750 0.262750i
\(523\) 6.58889 + 3.80410i 0.288112 + 0.166341i 0.637090 0.770789i \(-0.280138\pi\)
−0.348978 + 0.937131i \(0.613471\pi\)
\(524\) 4.96946 8.60736i 0.217092 0.376014i
\(525\) −10.0984 28.3578i −0.440731 1.23764i
\(526\) 12.0080 3.21752i 0.523572 0.140291i
\(527\) 14.4511 14.4511i 0.629499 0.629499i
\(528\) −4.89839 + 1.31252i −0.213175 + 0.0571201i
\(529\) 3.25680 + 5.64095i 0.141600 + 0.245259i
\(530\) −8.43573 + 14.6111i −0.366425 + 0.634666i
\(531\) −0.242102 + 0.903539i −0.0105064 + 0.0392102i
\(532\) 2.18034 + 3.16044i 0.0945297 + 0.137023i
\(533\) 10.1428 7.99822i 0.439333 0.346441i
\(534\) −3.20004 5.54263i −0.138479 0.239853i
\(535\) 22.7096 22.7096i 0.981821 0.981821i
\(536\) −9.19716 −0.397257
\(537\) 16.1216 0.695700
\(538\) −7.10129 + 7.10129i −0.306158 + 0.306158i
\(539\) 28.7922 + 20.7638i 1.24017 + 0.894361i
\(540\) −1.04742 3.90903i −0.0450738 0.168218i
\(541\) 8.36067 + 2.24023i 0.359453 + 0.0963152i 0.434026 0.900900i \(-0.357093\pi\)
−0.0745728 + 0.997216i \(0.523759\pi\)
\(542\) −16.7794 + 9.68762i −0.720739 + 0.416119i
\(543\) 6.35633i 0.272776i
\(544\) 4.79325 1.28435i 0.205509 0.0550660i
\(545\) 11.6260 0.498003
\(546\) −8.43377 + 4.45775i −0.360932 + 0.190774i
\(547\) 5.06040 0.216367 0.108184 0.994131i \(-0.465497\pi\)
0.108184 + 0.994131i \(0.465497\pi\)
\(548\) 17.0632 4.57208i 0.728906 0.195310i
\(549\) 12.1085i 0.516780i
\(550\) 49.9677 28.8489i 2.13063 1.23012i
\(551\) −11.9006 3.18876i −0.506984 0.135846i
\(552\) −1.40607 5.24753i −0.0598464 0.223350i
\(553\) −6.91814 1.26957i −0.294189 0.0539876i
\(554\) −15.7952 + 15.7952i −0.671073 + 0.671073i
\(555\) 3.16193 0.134217
\(556\) −12.7810 −0.542035
\(557\) −3.34236 + 3.34236i −0.141620 + 0.141620i −0.774363 0.632742i \(-0.781929\pi\)
0.632742 + 0.774363i \(0.281929\pi\)
\(558\) 2.05920 + 3.56664i 0.0871729 + 0.150988i
\(559\) −32.3484 + 13.9033i −1.36819 + 0.588047i
\(560\) 0.858922 + 10.6726i 0.0362961 + 0.451001i
\(561\) −6.51317 + 24.3075i −0.274986 + 1.02626i
\(562\) 13.6958 23.7218i 0.577723 1.00065i
\(563\) 0.729952 + 1.26431i 0.0307638 + 0.0532845i 0.880997 0.473121i \(-0.156873\pi\)
−0.850234 + 0.526406i \(0.823539\pi\)
\(564\) −2.84109 + 0.761269i −0.119632 + 0.0320552i
\(565\) −27.1796 + 27.1796i −1.14346 + 1.14346i
\(566\) 10.7925 2.89185i 0.453644 0.121553i
\(567\) −1.71472 + 2.01488i −0.0720116 + 0.0846169i
\(568\) 2.21809 3.84185i 0.0930692 0.161201i
\(569\) −3.49714 2.01907i −0.146608 0.0846440i 0.424902 0.905239i \(-0.360309\pi\)
−0.571510 + 0.820595i \(0.693642\pi\)
\(570\) −4.15282 4.15282i −0.173942 0.173942i
\(571\) −25.0701 14.4742i −1.04915 0.605727i −0.126739 0.991936i \(-0.540451\pi\)
−0.922411 + 0.386209i \(0.873784\pi\)
\(572\) −11.3218 14.3575i −0.473387 0.600317i
\(573\) 20.8379i 0.870515i
\(574\) −6.14303 + 7.21834i −0.256405 + 0.301288i
\(575\) 30.9051 + 53.5293i 1.28883 + 2.23233i
\(576\) 1.00000i 0.0416667i
\(577\) −1.41837 5.29341i −0.0590474 0.220368i 0.930097 0.367314i \(-0.119722\pi\)
−0.989145 + 0.146946i \(0.953056\pi\)
\(578\) 1.97345 7.36502i 0.0820848 0.306344i
\(579\) −7.59633 7.59633i −0.315693 0.315693i
\(580\) −24.2942 24.2942i −1.00876 1.00876i
\(581\) 0.307281 + 3.81816i 0.0127482 + 0.158404i
\(582\) 8.77832 5.06816i 0.363873 0.210082i
\(583\) 5.47184 + 20.4212i 0.226621 + 0.845759i
\(584\) −6.64375 + 11.5073i −0.274920 + 0.476176i
\(585\) 11.4576 9.03503i 0.473714 0.373552i
\(586\) 17.2004 9.93065i 0.710542 0.410231i
\(587\) −39.3764 10.5509i −1.62524 0.435481i −0.672703 0.739913i \(-0.734867\pi\)
−0.952534 + 0.304432i \(0.901533\pi\)
\(588\) 5.42443 4.42443i 0.223700 0.182460i
\(589\) 5.17598 + 2.98835i 0.213272 + 0.123133i
\(590\) −0.979770 + 3.65655i −0.0403365 + 0.150538i
\(591\) 11.3702 + 3.04663i 0.467707 + 0.125322i
\(592\) −0.754695 0.202220i −0.0310178 0.00831119i
\(593\) −2.46852 + 9.21264i −0.101370 + 0.378318i −0.997908 0.0646487i \(-0.979407\pi\)
0.896538 + 0.442967i \(0.146074\pi\)
\(594\) −4.39177 2.53559i −0.180197 0.104037i
\(595\) 47.9970 + 22.7894i 1.96768 + 0.934275i
\(596\) 11.2673 + 3.01906i 0.461526 + 0.123665i
\(597\) 16.8205 9.71131i 0.688417 0.397457i
\(598\) 15.3808 12.1287i 0.628970 0.495981i
\(599\) −17.6775 + 30.6183i −0.722282 + 1.25103i 0.237800 + 0.971314i \(0.423574\pi\)
−0.960083 + 0.279716i \(0.909760\pi\)
\(600\) −2.94473 10.9899i −0.120218 0.448660i
\(601\) −39.6382 + 22.8851i −1.61688 + 0.933503i −0.629154 + 0.777281i \(0.716598\pi\)
−0.987722 + 0.156222i \(0.950068\pi\)
\(602\) 21.2669 14.6717i 0.866776 0.597975i
\(603\) −6.50338 6.50338i −0.264838 0.264838i
\(604\) −11.7385 11.7385i −0.477634 0.477634i
\(605\) 15.4148 57.5288i 0.626701 2.33888i
\(606\) −1.01595 3.79157i −0.0412700 0.154022i
\(607\) 34.6434i 1.40613i 0.711124 + 0.703066i \(0.248186\pi\)
−0.711124 + 0.703066i \(0.751814\pi\)
\(608\) 0.725610 + 1.25679i 0.0294274 + 0.0509697i
\(609\) −4.05430 + 22.0927i −0.164289 + 0.895243i
\(610\) 49.0023i 1.98405i
\(611\) −6.56669 8.32743i −0.265660 0.336892i
\(612\) 4.29751 + 2.48117i 0.173717 + 0.100295i
\(613\) −17.1866 17.1866i −0.694161 0.694161i 0.268984 0.963145i \(-0.413312\pi\)
−0.963145 + 0.268984i \(0.913312\pi\)
\(614\) 2.45360 + 1.41659i 0.0990192 + 0.0571687i
\(615\) 7.24909 12.5558i 0.292311 0.506298i
\(616\) 10.2178 + 8.69567i 0.411687 + 0.350359i
\(617\) −6.04046 + 1.61854i −0.243180 + 0.0651599i −0.378350 0.925663i \(-0.623509\pi\)
0.135170 + 0.990822i \(0.456842\pi\)
\(618\) −4.98548 + 4.98548i −0.200545 + 0.200545i
\(619\) −18.8116 + 5.04055i −0.756102 + 0.202597i −0.616223 0.787572i \(-0.711338\pi\)
−0.139879 + 0.990169i \(0.544671\pi\)
\(620\) 8.33342 + 14.4339i 0.334678 + 0.579680i
\(621\) 2.71632 4.70481i 0.109002 0.188797i
\(622\) 5.41632 20.2140i 0.217174 0.810506i
\(623\) −7.26285 + 15.2963i −0.290980 + 0.612835i
\(624\) −3.31255 + 1.42373i −0.132608 + 0.0569948i
\(625\) 23.7806 + 41.1893i 0.951226 + 1.64757i
\(626\) 18.1803 18.1803i 0.726632 0.726632i
\(627\) −7.35940 −0.293906
\(628\) 22.4692 0.896620
\(629\) −2.74157 + 2.74157i −0.109314 + 0.109314i
\(630\) −6.93935 + 8.15405i −0.276470 + 0.324865i
\(631\) −2.64586 9.87448i −0.105330 0.393097i 0.893052 0.449953i \(-0.148559\pi\)
−0.998382 + 0.0568558i \(0.981892\pi\)
\(632\) −2.56789 0.688065i −0.102145 0.0273697i
\(633\) 2.94196 1.69854i 0.116932 0.0675109i
\(634\) 32.5565i 1.29298i
\(635\) −55.4031 + 14.8452i −2.19861 + 0.589115i
\(636\) 4.16896 0.165310
\(637\) 22.3791 + 11.6695i 0.886691 + 0.462363i
\(638\) −43.0529 −1.70448
\(639\) 4.28503 1.14817i 0.169513 0.0454209i
\(640\) 4.04692i 0.159969i
\(641\) 11.0356 6.37140i 0.435880 0.251655i −0.265969 0.963982i \(-0.585692\pi\)
0.701848 + 0.712326i \(0.252358\pi\)
\(642\) −7.66555 2.05398i −0.302535 0.0810641i
\(643\) −0.166808 0.622537i −0.00657828 0.0245505i 0.962559 0.271073i \(-0.0873786\pi\)
−0.969137 + 0.246523i \(0.920712\pi\)
\(644\) −9.31547 + 10.9461i −0.367081 + 0.431337i
\(645\) −27.9447 + 27.9447i −1.10032 + 1.10032i
\(646\) 7.20145 0.283337
\(647\) −16.8329 −0.661768 −0.330884 0.943671i \(-0.607347\pi\)
−0.330884 + 0.943671i \(0.607347\pi\)
\(648\) −0.707107 + 0.707107i −0.0277778 + 0.0277778i
\(649\) 2.37182 + 4.10812i 0.0931022 + 0.161258i
\(650\) 32.2121 25.4012i 1.26346 0.996317i
\(651\) 4.67359 9.84308i 0.183172 0.385781i
\(652\) −0.197631 + 0.737570i −0.00773984 + 0.0288855i
\(653\) 3.60462 6.24338i 0.141060 0.244322i −0.786836 0.617162i \(-0.788282\pi\)
0.927896 + 0.372839i \(0.121616\pi\)
\(654\) −1.43640 2.48792i −0.0561676 0.0972852i
\(655\) 38.8515 10.4102i 1.51805 0.406762i
\(656\) −2.53322 + 2.53322i −0.0989058 + 0.0989058i
\(657\) −12.8347 + 3.43906i −0.500731 + 0.134170i
\(658\) 5.92639 + 5.04354i 0.231035 + 0.196618i
\(659\) 4.22306 7.31455i 0.164507 0.284934i −0.771973 0.635655i \(-0.780730\pi\)
0.936480 + 0.350721i \(0.114063\pi\)
\(660\) −17.7732 10.2613i −0.691820 0.399422i
\(661\) −1.81867 1.81867i −0.0707382 0.0707382i 0.670853 0.741591i \(-0.265928\pi\)
−0.741591 + 0.670853i \(0.765928\pi\)
\(662\) −15.7582 9.09802i −0.612461 0.353605i
\(663\) −2.10051 + 17.7682i −0.0815771 + 0.690062i
\(664\) 1.44779i 0.0561853i
\(665\) −2.80467 + 15.2832i −0.108760 + 0.592657i
\(666\) −0.390659 0.676641i −0.0151377 0.0262193i
\(667\) 46.1216i 1.78583i
\(668\) 0.00377911 + 0.0141038i 0.000146218 + 0.000545694i
\(669\) −4.99990 + 18.6599i −0.193307 + 0.721433i
\(670\) −26.3187 26.3187i −1.01678 1.01678i
\(671\) −43.4196 43.4196i −1.67620 1.67620i
\(672\) 2.17778 1.50242i 0.0840098 0.0579570i
\(673\) −12.2144 + 7.05201i −0.470832 + 0.271835i −0.716588 0.697497i \(-0.754297\pi\)
0.245756 + 0.969332i \(0.420964\pi\)
\(674\) 1.56010 + 5.82237i 0.0600928 + 0.224269i
\(675\) 5.68879 9.85327i 0.218961 0.379252i
\(676\) −9.43235 8.94599i −0.362783 0.344077i
\(677\) 6.31593 3.64650i 0.242741 0.140146i −0.373695 0.927552i \(-0.621909\pi\)
0.616436 + 0.787405i \(0.288576\pi\)
\(678\) 9.17439 + 2.45827i 0.352340 + 0.0944094i
\(679\) −24.2261 11.5028i −0.929711 0.441436i
\(680\) 17.3917 + 10.0411i 0.666941 + 0.385059i
\(681\) 0.180944 0.675293i 0.00693380 0.0258773i
\(682\) 20.1735 + 5.40548i 0.772484 + 0.206987i
\(683\) −45.0392 12.0682i −1.72338 0.461777i −0.744736 0.667359i \(-0.767425\pi\)
−0.978640 + 0.205582i \(0.934091\pi\)
\(684\) −0.375603 + 1.40177i −0.0143616 + 0.0535980i
\(685\) 61.9118 + 35.7448i 2.36553 + 1.36574i
\(686\) −17.7852 5.16589i −0.679042 0.197234i
\(687\) −13.8280 3.70519i −0.527570 0.141362i
\(688\) 8.45709 4.88270i 0.322424 0.186151i
\(689\) 5.93547 + 13.8099i 0.226123 + 0.526115i
\(690\) 10.9927 19.0400i 0.418486 0.724840i
\(691\) −7.53901 28.1360i −0.286798 1.07034i −0.947516 0.319709i \(-0.896415\pi\)
0.660718 0.750634i \(-0.270252\pi\)
\(692\) 6.26529 3.61727i 0.238170 0.137508i
\(693\) 1.07631 + 13.3739i 0.0408857 + 0.508031i
\(694\) 21.3572 + 21.3572i 0.810710 + 0.810710i
\(695\) −36.5741 36.5741i −1.38734 1.38734i
\(696\) −2.19730 + 8.20043i −0.0832884 + 0.310837i
\(697\) 4.60120 + 17.1719i 0.174283 + 0.650433i
\(698\) 18.0171i 0.681959i
\(699\) 8.48375 + 14.6943i 0.320885 + 0.555789i
\(700\) −19.5094 + 22.9244i −0.737385 + 0.866461i
\(701\) 52.2166i 1.97219i 0.166172 + 0.986097i \(0.446859\pi\)
−0.166172 + 0.986097i \(0.553141\pi\)
\(702\) −3.34906 1.33560i −0.126402 0.0504089i
\(703\) −0.981955 0.566932i −0.0370351 0.0213822i
\(704\) 3.58587 + 3.58587i 0.135148 + 0.135148i
\(705\) −10.3085 5.95164i −0.388242 0.224152i
\(706\) 0.838610 1.45252i 0.0315615 0.0546661i
\(707\) −6.73083 + 7.90903i −0.253139 + 0.297450i
\(708\) 0.903539 0.242102i 0.0339571 0.00909877i
\(709\) −7.29179 + 7.29179i −0.273849 + 0.273849i −0.830648 0.556799i \(-0.812029\pi\)
0.556799 + 0.830648i \(0.312029\pi\)
\(710\) 17.3412 4.64656i 0.650803 0.174382i
\(711\) −1.32924 2.30231i −0.0498503 0.0863433i
\(712\) −3.20004 + 5.54263i −0.119927 + 0.207719i
\(713\) −5.79077 + 21.6114i −0.216866 + 0.809355i
\(714\) −1.05321 13.0868i −0.0394154 0.489762i
\(715\) 8.68706 73.4839i 0.324878 2.74814i
\(716\) −8.06082 13.9618i −0.301247 0.521775i
\(717\) 10.9179 10.9179i 0.407736 0.407736i
\(718\) −0.222098 −0.00828862
\(719\) −24.1413 −0.900318 −0.450159 0.892948i \(-0.648633\pi\)
−0.450159 + 0.892948i \(0.648633\pi\)
\(720\) −2.86161 + 2.86161i −0.106646 + 0.106646i
\(721\) 18.3476 + 3.36702i 0.683299 + 0.125394i
\(722\) −4.37248 16.3183i −0.162727 0.607305i
\(723\) 0.336456 + 0.0901532i 0.0125129 + 0.00335283i
\(724\) 5.50474 3.17816i 0.204582 0.118116i
\(725\) 96.5923i 3.58735i
\(726\) −14.2154 + 3.80902i −0.527585 + 0.141366i
\(727\) 50.2420 1.86337 0.931686 0.363265i \(-0.118338\pi\)
0.931686 + 0.363265i \(0.118338\pi\)
\(728\) 8.07741 + 5.07498i 0.299369 + 0.188091i
\(729\) −1.00000 −0.0370370
\(730\) −51.9411 + 13.9176i −1.92243 + 0.515113i
\(731\) 48.4593i 1.79233i
\(732\) −10.4863 + 6.05427i −0.387585 + 0.223772i
\(733\) −23.0344 6.17205i −0.850796 0.227970i −0.193030 0.981193i \(-0.561832\pi\)
−0.657765 + 0.753223i \(0.728498\pi\)
\(734\) −2.18422 8.15161i −0.0806209 0.300881i
\(735\) 28.1835 + 2.86161i 1.03957 + 0.105552i
\(736\) −3.84146 + 3.84146i −0.141598 + 0.141598i
\(737\) −46.6405 −1.71803
\(738\) −3.58252 −0.131874
\(739\) −28.9229 + 28.9229i −1.06395 + 1.06395i −0.0661374 + 0.997811i \(0.521068\pi\)
−0.997811 + 0.0661374i \(0.978932\pi\)
\(740\) −1.58097 2.73831i −0.0581175 0.100662i
\(741\) −5.17819 + 0.751536i −0.190226 + 0.0276084i
\(742\) −6.26352 9.07910i −0.229941 0.333304i
\(743\) −4.35552 + 16.2550i −0.159789 + 0.596339i 0.838859 + 0.544349i \(0.183223\pi\)
−0.998648 + 0.0519903i \(0.983443\pi\)
\(744\) 2.05920 3.56664i 0.0754940 0.130759i
\(745\) 23.6031 + 40.8818i 0.864752 + 1.49779i
\(746\) 9.93480 2.66202i 0.363739 0.0974636i
\(747\) −1.02375 + 1.02375i −0.0374569 + 0.0374569i
\(748\) 24.3075 6.51317i 0.888769 0.238145i
\(749\) 7.04375 + 19.7798i 0.257373 + 0.722740i
\(750\) 12.9048 22.3517i 0.471215 0.816169i
\(751\) 16.1027 + 9.29688i 0.587595 + 0.339248i 0.764146 0.645043i \(-0.223161\pi\)
−0.176551 + 0.984291i \(0.556494\pi\)
\(752\) 2.07983 + 2.07983i 0.0758434 + 0.0758434i
\(753\) 0.463770 + 0.267758i 0.0169007 + 0.00975763i
\(754\) −30.2927 + 4.39652i −1.10320 + 0.160112i
\(755\) 67.1821i 2.44501i
\(756\) 2.60230 + 0.477555i 0.0946446 + 0.0173685i
\(757\) 24.4862 + 42.4113i 0.889964 + 1.54146i 0.839916 + 0.542717i \(0.182604\pi\)
0.0500485 + 0.998747i \(0.484062\pi\)
\(758\) 23.2904i 0.845944i
\(759\) −7.13045 26.6112i −0.258819 0.965925i
\(760\) −1.52004 + 5.67286i −0.0551375 + 0.205776i
\(761\) 31.5422 + 31.5422i 1.14340 + 1.14340i 0.987823 + 0.155581i \(0.0497250\pi\)
0.155581 + 0.987823i \(0.450275\pi\)
\(762\) 10.0219 + 10.0219i 0.363056 + 0.363056i
\(763\) −3.26007 + 6.86606i −0.118022 + 0.248568i
\(764\) −18.0461 + 10.4189i −0.652886 + 0.376944i
\(765\) 5.19766 + 19.3979i 0.187922 + 0.701333i
\(766\) 3.85399 6.67530i 0.139250 0.241188i
\(767\) 2.08837 + 2.64833i 0.0754067 + 0.0956257i
\(768\) 0.866025 0.500000i 0.0312500 0.0180422i
\(769\) −17.1234 4.58821i −0.617487 0.165455i −0.0635019 0.997982i \(-0.520227\pi\)
−0.553985 + 0.832527i \(0.686894\pi\)
\(770\) 4.35575 + 54.1229i 0.156970 + 1.95046i
\(771\) 18.3934 + 10.6194i 0.662422 + 0.382449i
\(772\) −2.78045 + 10.3768i −0.100071 + 0.373468i
\(773\) 7.81454 + 2.09390i 0.281070 + 0.0753124i 0.396600 0.917992i \(-0.370190\pi\)
−0.115530 + 0.993304i \(0.536857\pi\)
\(774\) 9.43266 +