Properties

Label 280.2.ba.b.19.9
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.9
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.20308 - 0.743376i) q^{2} +(-0.818911 - 1.41839i) q^{3} +(0.894783 + 1.78868i) q^{4} +(-0.951297 - 2.02362i) q^{5} +(-0.0691894 + 2.31520i) q^{6} +(2.64158 + 0.148518i) q^{7} +(0.253167 - 2.81707i) q^{8} +(0.158771 - 0.274999i) q^{9} +O(q^{10})\) \(q+(-1.20308 - 0.743376i) q^{2} +(-0.818911 - 1.41839i) q^{3} +(0.894783 + 1.78868i) q^{4} +(-0.951297 - 2.02362i) q^{5} +(-0.0691894 + 2.31520i) q^{6} +(2.64158 + 0.148518i) q^{7} +(0.253167 - 2.81707i) q^{8} +(0.158771 - 0.274999i) q^{9} +(-0.359828 + 3.14174i) q^{10} +(-2.19380 - 3.79978i) q^{11} +(1.80430 - 2.73392i) q^{12} +2.75493i q^{13} +(-3.06762 - 2.14237i) q^{14} +(-2.09126 + 3.00648i) q^{15} +(-2.39873 + 3.20096i) q^{16} +(-0.648108 - 1.12256i) q^{17} +(-0.395441 + 0.212818i) q^{18} +(-3.86514 - 2.23154i) q^{19} +(2.76839 - 3.51226i) q^{20} +(-1.95256 - 3.86843i) q^{21} +(-0.185353 + 6.20224i) q^{22} +(0.136303 - 0.236084i) q^{23} +(-4.20304 + 1.94784i) q^{24} +(-3.19007 + 3.85013i) q^{25} +(2.04795 - 3.31439i) q^{26} -5.43354 q^{27} +(2.09799 + 4.85782i) q^{28} +9.84349i q^{29} +(4.75089 - 2.06243i) q^{30} +(-2.27724 - 3.94429i) q^{31} +(5.26536 - 2.06784i) q^{32} +(-3.59306 + 6.22335i) q^{33} +(-0.0547583 + 1.83231i) q^{34} +(-2.21238 - 5.48684i) q^{35} +(0.633949 + 0.0379249i) q^{36} +(3.94827 - 6.83861i) q^{37} +(2.99118 + 5.55796i) q^{38} +(3.90758 - 2.25604i) q^{39} +(-5.94152 + 2.16756i) q^{40} -3.95081i q^{41} +(-0.526618 + 6.10550i) q^{42} -4.46362i q^{43} +(4.83359 - 7.32398i) q^{44} +(-0.707531 - 0.0596857i) q^{45} +(-0.339482 + 0.182702i) q^{46} +(-7.22329 - 4.17037i) q^{47} +(6.50456 + 0.781043i) q^{48} +(6.95588 + 0.784646i) q^{49} +(6.69999 - 2.26057i) q^{50} +(-1.06148 + 1.83855i) q^{51} +(-4.92768 + 2.46507i) q^{52} +(5.40022 + 9.35345i) q^{53} +(6.53696 + 4.03916i) q^{54} +(-5.60234 + 8.05413i) q^{55} +(1.08715 - 7.40393i) q^{56} +7.30972i q^{57} +(7.31742 - 11.8425i) q^{58} +(3.31684 - 1.91498i) q^{59} +(-7.24884 - 1.05045i) q^{60} +(4.73907 - 8.20831i) q^{61} +(-0.192403 + 6.43813i) q^{62} +(0.460248 - 0.702851i) q^{63} +(-7.87181 - 1.42638i) q^{64} +(5.57493 - 2.62076i) q^{65} +(8.94901 - 4.81618i) q^{66} +(8.32812 - 4.80824i) q^{67} +(1.42797 - 2.16370i) q^{68} -0.446480 q^{69} +(-1.41712 + 8.24571i) q^{70} -1.42046i q^{71} +(-0.734497 - 0.516889i) q^{72} +(1.84745 + 3.19988i) q^{73} +(-9.83373 + 5.29231i) q^{74} +(8.07338 + 1.37187i) q^{75} +(0.533039 - 8.91022i) q^{76} +(-5.23077 - 10.3632i) q^{77} +(-6.37821 - 0.190612i) q^{78} +(12.3237 + 7.11507i) q^{79} +(8.75942 + 1.80905i) q^{80} +(3.97327 + 6.88191i) q^{81} +(-2.93694 + 4.75313i) q^{82} +12.8354 q^{83} +(5.17224 - 6.95390i) q^{84} +(-1.65508 + 2.37941i) q^{85} +(-3.31815 + 5.37007i) q^{86} +(13.9620 - 8.06094i) q^{87} +(-11.2596 + 5.21812i) q^{88} +(-3.15758 - 1.82303i) q^{89} +(0.806844 + 0.597768i) q^{90} +(-0.409158 + 7.27737i) q^{91} +(0.544239 + 0.0325581i) q^{92} +(-3.72971 + 6.46005i) q^{93} +(5.59001 + 10.3869i) q^{94} +(-0.838889 + 9.94442i) q^{95} +(-7.24487 - 5.77499i) q^{96} -0.0199224 q^{97} +(-7.78517 - 6.11483i) q^{98} -1.39325 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.20308 0.743376i −0.850703 0.525646i
\(3\) −0.818911 1.41839i −0.472798 0.818911i 0.526717 0.850041i \(-0.323423\pi\)
−0.999515 + 0.0311300i \(0.990089\pi\)
\(4\) 0.894783 + 1.78868i 0.447392 + 0.894338i
\(5\) −0.951297 2.02362i −0.425433 0.904990i
\(6\) −0.0691894 + 2.31520i −0.0282465 + 0.945175i
\(7\) 2.64158 + 0.148518i 0.998423 + 0.0561347i
\(8\) 0.253167 2.81707i 0.0895081 0.995986i
\(9\) 0.158771 0.274999i 0.0529235 0.0916663i
\(10\) −0.359828 + 3.14174i −0.113787 + 0.993505i
\(11\) −2.19380 3.79978i −0.661456 1.14568i −0.980233 0.197846i \(-0.936605\pi\)
0.318777 0.947830i \(-0.396728\pi\)
\(12\) 1.80430 2.73392i 0.520857 0.789215i
\(13\) 2.75493i 0.764081i 0.924146 + 0.382040i \(0.124779\pi\)
−0.924146 + 0.382040i \(0.875221\pi\)
\(14\) −3.06762 2.14237i −0.819855 0.572572i
\(15\) −2.09126 + 3.00648i −0.539962 + 0.776269i
\(16\) −2.39873 + 3.20096i −0.599681 + 0.800239i
\(17\) −0.648108 1.12256i −0.157189 0.272260i 0.776665 0.629914i \(-0.216910\pi\)
−0.933854 + 0.357654i \(0.883577\pi\)
\(18\) −0.395441 + 0.212818i −0.0932063 + 0.0501617i
\(19\) −3.86514 2.23154i −0.886723 0.511950i −0.0138541 0.999904i \(-0.504410\pi\)
−0.872869 + 0.487954i \(0.837743\pi\)
\(20\) 2.76839 3.51226i 0.619032 0.785366i
\(21\) −1.95256 3.86843i −0.426084 0.844160i
\(22\) −0.185353 + 6.20224i −0.0395175 + 1.32232i
\(23\) 0.136303 0.236084i 0.0284211 0.0492269i −0.851465 0.524411i \(-0.824285\pi\)
0.879886 + 0.475185i \(0.157619\pi\)
\(24\) −4.20304 + 1.94784i −0.857943 + 0.397601i
\(25\) −3.19007 + 3.85013i −0.638013 + 0.770025i
\(26\) 2.04795 3.31439i 0.401636 0.650006i
\(27\) −5.43354 −1.04569
\(28\) 2.09799 + 4.85782i 0.396483 + 0.918042i
\(29\) 9.84349i 1.82789i 0.405838 + 0.913945i \(0.366980\pi\)
−0.405838 + 0.913945i \(0.633020\pi\)
\(30\) 4.75089 2.06243i 0.867390 0.376546i
\(31\) −2.27724 3.94429i −0.409004 0.708416i 0.585774 0.810474i \(-0.300791\pi\)
−0.994778 + 0.102058i \(0.967457\pi\)
\(32\) 5.26536 2.06784i 0.930794 0.365545i
\(33\) −3.59306 + 6.22335i −0.625471 + 1.08335i
\(34\) −0.0547583 + 1.83231i −0.00939098 + 0.314238i
\(35\) −2.21238 5.48684i −0.373961 0.927444i
\(36\) 0.633949 + 0.0379249i 0.105658 + 0.00632082i
\(37\) 3.94827 6.83861i 0.649092 1.12426i −0.334248 0.942485i \(-0.608482\pi\)
0.983340 0.181775i \(-0.0581842\pi\)
\(38\) 2.99118 + 5.55796i 0.485234 + 0.901620i
\(39\) 3.90758 2.25604i 0.625714 0.361256i
\(40\) −5.94152 + 2.16756i −0.939437 + 0.342721i
\(41\) 3.95081i 0.617013i −0.951222 0.308507i \(-0.900171\pi\)
0.951222 0.308507i \(-0.0998292\pi\)
\(42\) −0.526618 + 6.10550i −0.0812590 + 0.942099i
\(43\) 4.46362i 0.680696i −0.940300 0.340348i \(-0.889455\pi\)
0.940300 0.340348i \(-0.110545\pi\)
\(44\) 4.83359 7.32398i 0.728691 1.10413i
\(45\) −0.707531 0.0596857i −0.105472 0.00889742i
\(46\) −0.339482 + 0.182702i −0.0500539 + 0.0269380i
\(47\) −7.22329 4.17037i −1.05363 0.608311i −0.129963 0.991519i \(-0.541486\pi\)
−0.923662 + 0.383208i \(0.874819\pi\)
\(48\) 6.50456 + 0.781043i 0.938852 + 0.112734i
\(49\) 6.95588 + 0.784646i 0.993698 + 0.112092i
\(50\) 6.69999 2.26057i 0.947521 0.319693i
\(51\) −1.06148 + 1.83855i −0.148638 + 0.257448i
\(52\) −4.92768 + 2.46507i −0.683347 + 0.341843i
\(53\) 5.40022 + 9.35345i 0.741777 + 1.28479i 0.951686 + 0.307074i \(0.0993499\pi\)
−0.209909 + 0.977721i \(0.567317\pi\)
\(54\) 6.53696 + 4.03916i 0.889568 + 0.549661i
\(55\) −5.60234 + 8.05413i −0.755420 + 1.08602i
\(56\) 1.08715 7.40393i 0.145276 0.989391i
\(57\) 7.30972i 0.968196i
\(58\) 7.31742 11.8425i 0.960824 1.55499i
\(59\) 3.31684 1.91498i 0.431816 0.249309i −0.268304 0.963334i \(-0.586463\pi\)
0.700120 + 0.714025i \(0.253130\pi\)
\(60\) −7.24884 1.05045i −0.935822 0.135612i
\(61\) 4.73907 8.20831i 0.606776 1.05097i −0.384992 0.922920i \(-0.625796\pi\)
0.991768 0.128047i \(-0.0408708\pi\)
\(62\) −0.192403 + 6.43813i −0.0244352 + 0.817644i
\(63\) 0.460248 0.702851i 0.0579858 0.0885509i
\(64\) −7.87181 1.42638i −0.983977 0.178298i
\(65\) 5.57493 2.62076i 0.691486 0.325065i
\(66\) 8.94901 4.81618i 1.10155 0.592830i
\(67\) 8.32812 4.80824i 1.01744 0.587420i 0.104079 0.994569i \(-0.466810\pi\)
0.913362 + 0.407149i \(0.133477\pi\)
\(68\) 1.42797 2.16370i 0.173167 0.262387i
\(69\) −0.446480 −0.0537499
\(70\) −1.41712 + 8.24571i −0.169378 + 0.985551i
\(71\) 1.42046i 0.168578i −0.996441 0.0842888i \(-0.973138\pi\)
0.996441 0.0842888i \(-0.0268618\pi\)
\(72\) −0.734497 0.516889i −0.0865612 0.0609160i
\(73\) 1.84745 + 3.19988i 0.216228 + 0.374518i 0.953652 0.300912i \(-0.0972912\pi\)
−0.737424 + 0.675430i \(0.763958\pi\)
\(74\) −9.83373 + 5.29231i −1.14315 + 0.615219i
\(75\) 8.07338 + 1.37187i 0.932234 + 0.158409i
\(76\) 0.533039 8.91022i 0.0611437 1.02207i
\(77\) −5.23077 10.3632i −0.596101 1.18100i
\(78\) −6.37821 0.190612i −0.722190 0.0215826i
\(79\) 12.3237 + 7.11507i 1.38652 + 0.800508i 0.992921 0.118774i \(-0.0378964\pi\)
0.393599 + 0.919282i \(0.371230\pi\)
\(80\) 8.75942 + 1.80905i 0.979332 + 0.202258i
\(81\) 3.97327 + 6.88191i 0.441475 + 0.764657i
\(82\) −2.93694 + 4.75313i −0.324331 + 0.524895i
\(83\) 12.8354 1.40887 0.704435 0.709769i \(-0.251201\pi\)
0.704435 + 0.709769i \(0.251201\pi\)
\(84\) 5.17224 6.95390i 0.564338 0.758733i
\(85\) −1.65508 + 2.37941i −0.179519 + 0.258083i
\(86\) −3.31815 + 5.37007i −0.357805 + 0.579070i
\(87\) 13.9620 8.06094i 1.49688 0.864223i
\(88\) −11.2596 + 5.21812i −1.20028 + 0.556254i
\(89\) −3.15758 1.82303i −0.334703 0.193241i 0.323224 0.946322i \(-0.395233\pi\)
−0.657927 + 0.753082i \(0.728567\pi\)
\(90\) 0.806844 + 0.597768i 0.0850489 + 0.0630103i
\(91\) −0.409158 + 7.27737i −0.0428914 + 0.762876i
\(92\) 0.544239 + 0.0325581i 0.0567408 + 0.00339442i
\(93\) −3.72971 + 6.46005i −0.386753 + 0.669876i
\(94\) 5.59001 + 10.3869i 0.576566 + 1.07133i
\(95\) −0.838889 + 9.94442i −0.0860682 + 1.02028i
\(96\) −7.24487 5.77499i −0.739427 0.589407i
\(97\) −0.0199224 −0.00202282 −0.00101141 0.999999i \(-0.500322\pi\)
−0.00101141 + 0.999999i \(0.500322\pi\)
\(98\) −7.78517 6.11483i −0.786421 0.617691i
\(99\) −1.39325 −0.140026
\(100\) −9.74105 2.26097i −0.974105 0.226097i
\(101\) −3.28413 5.68828i −0.326783 0.566005i 0.655088 0.755552i \(-0.272631\pi\)
−0.981872 + 0.189547i \(0.939298\pi\)
\(102\) 2.64378 1.42283i 0.261773 0.140881i
\(103\) −9.28337 5.35976i −0.914718 0.528112i −0.0327715 0.999463i \(-0.510433\pi\)
−0.881946 + 0.471350i \(0.843767\pi\)
\(104\) 7.76085 + 0.697459i 0.761014 + 0.0683914i
\(105\) −5.97076 + 7.63126i −0.582686 + 0.744735i
\(106\) 0.456262 15.2673i 0.0443161 1.48289i
\(107\) 2.95557 + 1.70640i 0.285725 + 0.164964i 0.636013 0.771679i \(-0.280583\pi\)
−0.350287 + 0.936642i \(0.613916\pi\)
\(108\) −4.86184 9.71884i −0.467831 0.935196i
\(109\) −7.73766 + 4.46734i −0.741134 + 0.427894i −0.822481 0.568792i \(-0.807411\pi\)
0.0813476 + 0.996686i \(0.474078\pi\)
\(110\) 12.7273 5.52509i 1.21350 0.526796i
\(111\) −12.9331 −1.22756
\(112\) −6.81182 + 8.09932i −0.643657 + 0.765314i
\(113\) 9.31026i 0.875836i −0.899015 0.437918i \(-0.855716\pi\)
0.899015 0.437918i \(-0.144284\pi\)
\(114\) 5.43387 8.79415i 0.508929 0.823648i
\(115\) −0.607408 0.0512396i −0.0566411 0.00477811i
\(116\) −17.6068 + 8.80779i −1.63475 + 0.817783i
\(117\) 0.757603 + 0.437402i 0.0700405 + 0.0404379i
\(118\) −5.41396 0.161796i −0.498395 0.0148945i
\(119\) −1.54531 3.06158i −0.141658 0.280654i
\(120\) 7.94003 + 6.65239i 0.724822 + 0.607277i
\(121\) −4.12553 + 7.14563i −0.375048 + 0.649603i
\(122\) −11.8033 + 6.35231i −1.06862 + 0.575111i
\(123\) −5.60381 + 3.23536i −0.505279 + 0.291723i
\(124\) 5.01743 7.60253i 0.450578 0.682728i
\(125\) 10.8259 + 2.79287i 0.968297 + 0.249802i
\(126\) −1.07620 + 0.503446i −0.0958751 + 0.0448505i
\(127\) −2.88968 −0.256418 −0.128209 0.991747i \(-0.540923\pi\)
−0.128209 + 0.991747i \(0.540923\pi\)
\(128\) 8.41005 + 7.56776i 0.743350 + 0.668902i
\(129\) −6.33118 + 3.65531i −0.557429 + 0.321832i
\(130\) −8.65528 0.991301i −0.759118 0.0869428i
\(131\) −0.191301 0.110448i −0.0167140 0.00964984i 0.491620 0.870810i \(-0.336405\pi\)
−0.508334 + 0.861160i \(0.669738\pi\)
\(132\) −14.3466 0.858259i −1.24871 0.0747018i
\(133\) −9.87864 6.46883i −0.856587 0.560919i
\(134\) −13.5937 0.406246i −1.17432 0.0350943i
\(135\) 5.16891 + 10.9954i 0.444869 + 0.946335i
\(136\) −3.32640 + 1.54157i −0.285237 + 0.132189i
\(137\) 1.81703 1.04906i 0.155239 0.0896274i −0.420368 0.907354i \(-0.638099\pi\)
0.575607 + 0.817726i \(0.304766\pi\)
\(138\) 0.537149 + 0.331903i 0.0457252 + 0.0282534i
\(139\) 16.0797i 1.36387i 0.731415 + 0.681933i \(0.238860\pi\)
−0.731415 + 0.681933i \(0.761140\pi\)
\(140\) 7.83457 8.86677i 0.662142 0.749378i
\(141\) 13.6606i 1.15043i
\(142\) −1.05594 + 1.70892i −0.0886122 + 0.143409i
\(143\) 10.4681 6.04378i 0.875389 0.505406i
\(144\) 0.499412 + 1.16786i 0.0416177 + 0.0973220i
\(145\) 19.9195 9.36408i 1.65422 0.777645i
\(146\) 0.156091 5.22305i 0.0129181 0.432263i
\(147\) −4.58331 10.5087i −0.378025 0.866747i
\(148\) 15.7649 + 0.943107i 1.29587 + 0.0775230i
\(149\) −10.5922 6.11539i −0.867744 0.500992i −0.00114601 0.999999i \(-0.500365\pi\)
−0.866598 + 0.499007i \(0.833698\pi\)
\(150\) −8.69308 7.65202i −0.709787 0.624785i
\(151\) 5.37065 3.10075i 0.437058 0.252335i −0.265291 0.964168i \(-0.585468\pi\)
0.702349 + 0.711833i \(0.252135\pi\)
\(152\) −7.26493 + 10.3234i −0.589264 + 0.837341i
\(153\) −0.411602 −0.0332760
\(154\) −1.41077 + 16.3562i −0.113683 + 1.31802i
\(155\) −5.81542 + 8.36046i −0.467106 + 0.671528i
\(156\) 7.53177 + 4.97073i 0.603024 + 0.397977i
\(157\) 8.45018 4.87872i 0.674398 0.389364i −0.123343 0.992364i \(-0.539362\pi\)
0.797741 + 0.603000i \(0.206028\pi\)
\(158\) −9.53713 17.7211i −0.758733 1.40981i
\(159\) 8.84459 15.3193i 0.701422 1.21490i
\(160\) −9.19344 8.68796i −0.726805 0.686844i
\(161\) 0.395118 0.603390i 0.0311397 0.0475538i
\(162\) 0.335700 11.2331i 0.0263751 0.882555i
\(163\) −11.6016 6.69821i −0.908711 0.524644i −0.0286947 0.999588i \(-0.509135\pi\)
−0.880016 + 0.474944i \(0.842468\pi\)
\(164\) 7.06672 3.53512i 0.551818 0.276047i
\(165\) 16.0118 + 1.35072i 1.24651 + 0.105153i
\(166\) −15.4420 9.54154i −1.19853 0.740567i
\(167\) 0.950030i 0.0735155i 0.999324 + 0.0367578i \(0.0117030\pi\)
−0.999324 + 0.0367578i \(0.988297\pi\)
\(168\) −11.3920 + 4.52115i −0.878909 + 0.348814i
\(169\) 5.41034 0.416180
\(170\) 3.75998 1.63226i 0.288378 0.125189i
\(171\) −1.22734 + 0.708606i −0.0938571 + 0.0541884i
\(172\) 7.98397 3.99397i 0.608772 0.304538i
\(173\) 6.18561 + 3.57127i 0.470283 + 0.271518i 0.716358 0.697733i \(-0.245808\pi\)
−0.246075 + 0.969251i \(0.579141\pi\)
\(174\) −22.7896 0.681065i −1.72768 0.0516314i
\(175\) −8.99863 + 9.69663i −0.680233 + 0.732996i
\(176\) 17.4252 + 2.09236i 1.31348 + 0.157717i
\(177\) −5.43239 3.13639i −0.408324 0.235746i
\(178\) 2.44361 + 4.54052i 0.183157 + 0.340326i
\(179\) −1.57410 2.72641i −0.117653 0.203782i 0.801184 0.598418i \(-0.204204\pi\)
−0.918837 + 0.394636i \(0.870871\pi\)
\(180\) −0.526329 1.31895i −0.0392302 0.0983087i
\(181\) 16.4575 1.22328 0.611640 0.791136i \(-0.290510\pi\)
0.611640 + 0.791136i \(0.290510\pi\)
\(182\) 5.90208 8.45108i 0.437491 0.626435i
\(183\) −15.5235 −1.14753
\(184\) −0.630558 0.443744i −0.0464853 0.0327133i
\(185\) −17.5947 1.48425i −1.29359 0.109124i
\(186\) 9.28937 4.99935i 0.681130 0.366570i
\(187\) −2.84364 + 4.92533i −0.207948 + 0.360176i
\(188\) 0.996159 16.6517i 0.0726524 1.21445i
\(189\) −14.3531 0.806980i −1.04404 0.0586992i
\(190\) 8.40169 11.3403i 0.609523 0.822711i
\(191\) 13.9077 + 8.02964i 1.00633 + 0.581004i 0.910115 0.414357i \(-0.135993\pi\)
0.0962140 + 0.995361i \(0.469327\pi\)
\(192\) 4.42314 + 12.3334i 0.319213 + 0.890088i
\(193\) 14.2638 8.23520i 1.02673 0.592783i 0.110684 0.993856i \(-0.464696\pi\)
0.916046 + 0.401073i \(0.131363\pi\)
\(194\) 0.0239682 + 0.0148099i 0.00172082 + 0.00106329i
\(195\) −8.28265 5.76129i −0.593133 0.412575i
\(196\) 4.82053 + 13.1439i 0.344324 + 0.938851i
\(197\) 4.67126 0.332814 0.166407 0.986057i \(-0.446784\pi\)
0.166407 + 0.986057i \(0.446784\pi\)
\(198\) 1.67618 + 1.03571i 0.119121 + 0.0736044i
\(199\) −5.83140 10.1003i −0.413377 0.715990i 0.581879 0.813275i \(-0.302318\pi\)
−0.995257 + 0.0972849i \(0.968984\pi\)
\(200\) 10.0385 + 9.96138i 0.709827 + 0.704376i
\(201\) −13.6400 7.87504i −0.962089 0.555462i
\(202\) −0.277475 + 9.28478i −0.0195231 + 0.653275i
\(203\) −1.46194 + 26.0024i −0.102608 + 1.82501i
\(204\) −4.23836 0.253553i −0.296745 0.0177522i
\(205\) −7.99494 + 3.75840i −0.558391 + 0.262498i
\(206\) 7.18428 + 13.3492i 0.500553 + 0.930085i
\(207\) −0.0432818 0.0749663i −0.00300829 0.00521052i
\(208\) −8.81842 6.60833i −0.611447 0.458205i
\(209\) 19.5822i 1.35453i
\(210\) 12.8562 4.74247i 0.887160 0.327261i
\(211\) 14.7790 1.01743 0.508714 0.860936i \(-0.330121\pi\)
0.508714 + 0.860936i \(0.330121\pi\)
\(212\) −11.8983 + 18.0285i −0.817176 + 1.23821i
\(213\) −2.01477 + 1.16323i −0.138050 + 0.0797032i
\(214\) −2.28728 4.25002i −0.156355 0.290526i
\(215\) −9.03267 + 4.24623i −0.616023 + 0.289590i
\(216\) −1.37559 + 15.3067i −0.0935973 + 1.04149i
\(217\) −5.42971 10.7574i −0.368593 0.730258i
\(218\) 12.6299 + 0.377444i 0.855406 + 0.0255637i
\(219\) 3.02580 5.24084i 0.204464 0.354143i
\(220\) −19.4191 2.81407i −1.30924 0.189724i
\(221\) 3.09257 1.78549i 0.208028 0.120105i
\(222\) 15.5595 + 9.61418i 1.04429 + 0.645261i
\(223\) 7.00259i 0.468928i 0.972125 + 0.234464i \(0.0753335\pi\)
−0.972125 + 0.234464i \(0.924666\pi\)
\(224\) 14.2160 4.68035i 0.949846 0.312719i
\(225\) 0.552291 + 1.48855i 0.0368194 + 0.0992368i
\(226\) −6.92103 + 11.2010i −0.460380 + 0.745076i
\(227\) 10.2610 + 17.7725i 0.681043 + 1.17960i 0.974663 + 0.223679i \(0.0718068\pi\)
−0.293619 + 0.955922i \(0.594860\pi\)
\(228\) −13.0747 + 6.54062i −0.865895 + 0.433163i
\(229\) −12.4920 + 21.6368i −0.825496 + 1.42980i 0.0760431 + 0.997105i \(0.475771\pi\)
−0.901539 + 0.432697i \(0.857562\pi\)
\(230\) 0.692668 + 0.513178i 0.0456732 + 0.0338379i
\(231\) −10.4156 + 15.9058i −0.685298 + 1.04653i
\(232\) 27.7298 + 2.49205i 1.82055 + 0.163611i
\(233\) −3.61112 2.08488i −0.236572 0.136585i 0.377028 0.926202i \(-0.376946\pi\)
−0.613600 + 0.789617i \(0.710279\pi\)
\(234\) −0.586300 1.08941i −0.0383276 0.0712171i
\(235\) −1.56774 + 18.5844i −0.102268 + 1.21232i
\(236\) 6.39313 + 4.21926i 0.416157 + 0.274651i
\(237\) 23.3064i 1.51392i
\(238\) −0.416780 + 4.83205i −0.0270158 + 0.313215i
\(239\) 26.5365i 1.71651i −0.513228 0.858253i \(-0.671550\pi\)
0.513228 0.858253i \(-0.328450\pi\)
\(240\) −4.60724 13.9058i −0.297396 0.897613i
\(241\) 26.1925 15.1223i 1.68721 0.974110i 0.730566 0.682842i \(-0.239256\pi\)
0.956641 0.291268i \(-0.0940772\pi\)
\(242\) 10.2752 5.52991i 0.660516 0.355476i
\(243\) −1.64280 + 2.84541i −0.105386 + 0.182533i
\(244\) 18.9225 + 1.13200i 1.21139 + 0.0724691i
\(245\) −5.02929 14.8225i −0.321309 0.946974i
\(246\) 9.14690 + 0.273354i 0.583185 + 0.0174284i
\(247\) 6.14774 10.6482i 0.391171 0.677528i
\(248\) −11.6879 + 5.41659i −0.742182 + 0.343954i
\(249\) −10.5111 18.2057i −0.666111 1.15374i
\(250\) −10.9482 11.4077i −0.692426 0.721489i
\(251\) 21.4077i 1.35124i −0.737250 0.675620i \(-0.763876\pi\)
0.737250 0.675620i \(-0.236124\pi\)
\(252\) 1.66899 + 0.194335i 0.105137 + 0.0122419i
\(253\) −1.19609 −0.0751973
\(254\) 3.47651 + 2.14812i 0.218136 + 0.134785i
\(255\) 4.73030 + 0.399037i 0.296223 + 0.0249887i
\(256\) −4.49223 15.3564i −0.280765 0.959777i
\(257\) 4.90535 8.49632i 0.305988 0.529986i −0.671493 0.741011i \(-0.734347\pi\)
0.977481 + 0.211025i \(0.0676801\pi\)
\(258\) 10.3342 + 0.308835i 0.643376 + 0.0192272i
\(259\) 11.4453 17.4783i 0.711178 1.08605i
\(260\) 9.67605 + 7.62674i 0.600083 + 0.472990i
\(261\) 2.70695 + 1.56286i 0.167556 + 0.0967384i
\(262\) 0.148045 + 0.275085i 0.00914626 + 0.0169948i
\(263\) 6.21557 + 10.7657i 0.383268 + 0.663840i 0.991527 0.129898i \(-0.0414651\pi\)
−0.608259 + 0.793739i \(0.708132\pi\)
\(264\) 16.6220 + 11.6975i 1.02301 + 0.719928i
\(265\) 13.7906 19.8259i 0.847150 1.21789i
\(266\) 7.07598 + 15.1260i 0.433856 + 0.927437i
\(267\) 5.97160i 0.365456i
\(268\) 16.0522 + 10.5940i 0.980547 + 0.647130i
\(269\) −3.48319 6.03307i −0.212374 0.367843i 0.740083 0.672516i \(-0.234786\pi\)
−0.952457 + 0.304673i \(0.901453\pi\)
\(270\) 1.95514 17.0708i 0.118986 1.03889i
\(271\) −13.3991 + 23.2079i −0.813935 + 1.40978i 0.0961544 + 0.995366i \(0.469346\pi\)
−0.910090 + 0.414411i \(0.863988\pi\)
\(272\) 5.14788 + 0.618138i 0.312136 + 0.0374801i
\(273\) 10.6573 5.37917i 0.645006 0.325562i
\(274\) −2.96587 0.0886348i −0.179175 0.00535462i
\(275\) 21.6280 + 3.67513i 1.30422 + 0.221619i
\(276\) −0.399503 0.798608i −0.0240472 0.0480705i
\(277\) 8.59103 + 14.8801i 0.516185 + 0.894058i 0.999823 + 0.0187904i \(0.00598153\pi\)
−0.483639 + 0.875268i \(0.660685\pi\)
\(278\) 11.9533 19.3451i 0.716911 1.16024i
\(279\) −1.44624 −0.0865838
\(280\) −16.0169 + 4.84336i −0.957194 + 0.289446i
\(281\) −24.3194 −1.45078 −0.725388 0.688341i \(-0.758339\pi\)
−0.725388 + 0.688341i \(0.758339\pi\)
\(282\) 10.1550 16.4348i 0.604721 0.978677i
\(283\) −5.66683 9.81524i −0.336858 0.583455i 0.646982 0.762505i \(-0.276031\pi\)
−0.983840 + 0.179050i \(0.942698\pi\)
\(284\) 2.54074 1.27100i 0.150765 0.0754202i
\(285\) 14.7921 6.95372i 0.876208 0.411903i
\(286\) −17.0868 0.510636i −1.01036 0.0301945i
\(287\) 0.586768 10.4364i 0.0346358 0.616040i
\(288\) 0.267332 1.77628i 0.0157527 0.104668i
\(289\) 7.65991 13.2674i 0.450583 0.780433i
\(290\) −30.9257 3.54196i −1.81602 0.207991i
\(291\) 0.0163147 + 0.0282579i 0.000956384 + 0.00165650i
\(292\) −4.07048 + 6.16770i −0.238207 + 0.360937i
\(293\) 13.5647i 0.792460i −0.918151 0.396230i \(-0.870318\pi\)
0.918151 0.396230i \(-0.129682\pi\)
\(294\) −2.29788 + 16.0499i −0.134015 + 0.936052i
\(295\) −7.03049 4.89031i −0.409331 0.284725i
\(296\) −18.2653 12.8539i −1.06165 0.747117i
\(297\) 11.9201 + 20.6462i 0.691675 + 1.19802i
\(298\) 8.19714 + 15.2312i 0.474848 + 0.882322i
\(299\) 0.650395 + 0.375506i 0.0376133 + 0.0217160i
\(300\) 4.77010 + 15.6682i 0.275402 + 0.904603i
\(301\) 0.662929 11.7910i 0.0382106 0.679622i
\(302\) −8.76633 0.261981i −0.504445 0.0150753i
\(303\) −5.37882 + 9.31639i −0.309005 + 0.535213i
\(304\) 16.4145 7.01929i 0.941434 0.402584i
\(305\) −21.1188 1.78153i −1.20926 0.102010i
\(306\) 0.495188 + 0.305975i 0.0283080 + 0.0174914i
\(307\) −20.1572 −1.15043 −0.575216 0.818002i \(-0.695082\pi\)
−0.575216 + 0.818002i \(0.695082\pi\)
\(308\) 13.8561 18.6290i 0.789522 1.06149i
\(309\) 17.5566i 0.998763i
\(310\) 13.2114 5.73523i 0.750355 0.325739i
\(311\) 6.65610 + 11.5287i 0.377433 + 0.653733i 0.990688 0.136152i \(-0.0434736\pi\)
−0.613255 + 0.789885i \(0.710140\pi\)
\(312\) −5.36617 11.5791i −0.303800 0.655538i
\(313\) −13.3898 + 23.1919i −0.756838 + 1.31088i 0.187618 + 0.982242i \(0.439923\pi\)
−0.944456 + 0.328639i \(0.893410\pi\)
\(314\) −13.7929 0.412201i −0.778380 0.0232618i
\(315\) −1.86013 0.262746i −0.104807 0.0148040i
\(316\) −1.69955 + 28.4095i −0.0956071 + 1.59816i
\(317\) −15.3924 + 26.6604i −0.864524 + 1.49740i 0.00299582 + 0.999996i \(0.499046\pi\)
−0.867519 + 0.497403i \(0.834287\pi\)
\(318\) −22.0287 + 11.8554i −1.23531 + 0.664818i
\(319\) 37.4031 21.5947i 2.09417 1.20907i
\(320\) 4.60198 + 17.2865i 0.257259 + 0.966343i
\(321\) 5.58955i 0.311978i
\(322\) −0.923903 + 0.432203i −0.0514871 + 0.0240857i
\(323\) 5.78511i 0.321892i
\(324\) −8.75429 + 13.2647i −0.486349 + 0.736929i
\(325\) −10.6068 8.78842i −0.588362 0.487494i
\(326\) 8.97837 + 16.6828i 0.497266 + 0.923977i
\(327\) 12.6729 + 7.31671i 0.700814 + 0.404615i
\(328\) −11.1297 1.00022i −0.614536 0.0552277i
\(329\) −18.4615 12.0892i −1.01782 0.666497i
\(330\) −18.2593 13.5278i −1.00514 0.744680i
\(331\) −2.30264 + 3.98829i −0.126564 + 0.219216i −0.922343 0.386371i \(-0.873728\pi\)
0.795779 + 0.605587i \(0.207062\pi\)
\(332\) 11.4849 + 22.9584i 0.630317 + 1.26001i
\(333\) −1.25374 2.17154i −0.0687045 0.119000i
\(334\) 0.706230 1.14296i 0.0386432 0.0625399i
\(335\) −17.6526 12.2789i −0.964462 0.670866i
\(336\) 17.0663 + 3.02923i 0.931044 + 0.165258i
\(337\) 12.2970i 0.669862i −0.942243 0.334931i \(-0.891287\pi\)
0.942243 0.334931i \(-0.108713\pi\)
\(338\) −6.50906 4.02192i −0.354046 0.218764i
\(339\) −13.2056 + 7.62427i −0.717231 + 0.414094i
\(340\) −5.73693 0.831351i −0.311129 0.0450864i
\(341\) −9.99162 + 17.3060i −0.541077 + 0.937172i
\(342\) 2.00334 + 0.0598698i 0.108328 + 0.00323739i
\(343\) 18.2580 + 3.10578i 0.985839 + 0.167696i
\(344\) −12.5743 1.13004i −0.677963 0.0609278i
\(345\) 0.424735 + 0.903505i 0.0228670 + 0.0486431i
\(346\) −4.78697 8.89474i −0.257349 0.478184i
\(347\) −6.93751 + 4.00537i −0.372425 + 0.215020i −0.674517 0.738259i \(-0.735648\pi\)
0.302092 + 0.953279i \(0.402315\pi\)
\(348\) 26.9113 + 17.7606i 1.44260 + 0.952069i
\(349\) 15.3254 0.820347 0.410174 0.912007i \(-0.365468\pi\)
0.410174 + 0.912007i \(0.365468\pi\)
\(350\) 18.0343 4.97641i 0.963973 0.266001i
\(351\) 14.9690i 0.798988i
\(352\) −19.4085 15.4708i −1.03448 0.824595i
\(353\) −14.7109 25.4800i −0.782981 1.35616i −0.930198 0.367059i \(-0.880365\pi\)
0.147216 0.989104i \(-0.452969\pi\)
\(354\) 4.20406 + 7.81163i 0.223443 + 0.415183i
\(355\) −2.87447 + 1.35128i −0.152561 + 0.0717184i
\(356\) 0.435460 7.27911i 0.0230793 0.385792i
\(357\) −3.07705 + 4.69901i −0.162855 + 0.248698i
\(358\) −0.132995 + 4.45023i −0.00702899 + 0.235202i
\(359\) 3.08814 + 1.78294i 0.162986 + 0.0940998i 0.579274 0.815133i \(-0.303336\pi\)
−0.416289 + 0.909233i \(0.636669\pi\)
\(360\) −0.347263 + 1.97806i −0.0183023 + 0.104253i
\(361\) 0.459526 + 0.795923i 0.0241856 + 0.0418907i
\(362\) −19.7997 12.2342i −1.04065 0.643013i
\(363\) 13.5138 0.709289
\(364\) −13.3830 + 5.77982i −0.701458 + 0.302945i
\(365\) 4.71787 6.78258i 0.246944 0.355016i
\(366\) 18.6760 + 11.5398i 0.976208 + 0.603195i
\(367\) −8.15253 + 4.70686i −0.425558 + 0.245696i −0.697453 0.716631i \(-0.745683\pi\)
0.271894 + 0.962327i \(0.412350\pi\)
\(368\) 0.428740 + 1.00260i 0.0223496 + 0.0522641i
\(369\) −1.08647 0.627273i −0.0565593 0.0326545i
\(370\) 20.0644 + 14.8652i 1.04310 + 0.772803i
\(371\) 12.8759 + 25.5099i 0.668486 + 1.32441i
\(372\) −14.8922 0.890901i −0.772126 0.0461911i
\(373\) 2.95853 5.12432i 0.153187 0.265327i −0.779211 0.626762i \(-0.784380\pi\)
0.932397 + 0.361435i \(0.117713\pi\)
\(374\) 7.08249 3.81165i 0.366227 0.197096i
\(375\) −4.90405 17.6425i −0.253244 0.911055i
\(376\) −13.5769 + 19.2927i −0.700177 + 0.994947i
\(377\) −27.1182 −1.39666
\(378\) 16.6680 + 11.6406i 0.857310 + 0.598730i
\(379\) 10.0919 0.518388 0.259194 0.965825i \(-0.416543\pi\)
0.259194 + 0.965825i \(0.416543\pi\)
\(380\) −18.5380 + 7.39760i −0.950978 + 0.379489i
\(381\) 2.36639 + 4.09871i 0.121234 + 0.209983i
\(382\) −10.7630 19.9989i −0.550684 1.02324i
\(383\) 18.3760 + 10.6094i 0.938968 + 0.542113i 0.889637 0.456669i \(-0.150958\pi\)
0.0493313 + 0.998782i \(0.484291\pi\)
\(384\) 3.84700 18.1261i 0.196316 0.924993i
\(385\) −15.9952 + 20.4436i −0.815192 + 1.04190i
\(386\) −23.2823 0.695789i −1.18504 0.0354147i
\(387\) −1.22749 0.708692i −0.0623968 0.0360248i
\(388\) −0.0178262 0.0356348i −0.000904991 0.00180908i
\(389\) −17.0998 + 9.87258i −0.866995 + 0.500560i −0.866349 0.499440i \(-0.833539\pi\)
−0.000646573 1.00000i \(0.500206\pi\)
\(390\) 5.68185 + 13.0884i 0.287711 + 0.662757i
\(391\) −0.353356 −0.0178700
\(392\) 3.97141 19.3966i 0.200586 0.979676i
\(393\) 0.361787i 0.0182497i
\(394\) −5.61988 3.47251i −0.283126 0.174942i
\(395\) 2.67473 31.7069i 0.134580 1.59535i
\(396\) −1.24665 2.49206i −0.0626467 0.125231i
\(397\) −7.56788 4.36932i −0.379821 0.219290i 0.297919 0.954591i \(-0.403707\pi\)
−0.677740 + 0.735301i \(0.737041\pi\)
\(398\) −0.492693 + 16.4863i −0.0246964 + 0.826385i
\(399\) −1.08563 + 19.3092i −0.0543494 + 0.966670i
\(400\) −4.67199 19.4467i −0.233599 0.972333i
\(401\) −12.7155 + 22.0240i −0.634984 + 1.09982i 0.351535 + 0.936175i \(0.385660\pi\)
−0.986519 + 0.163649i \(0.947673\pi\)
\(402\) 10.5558 + 19.6139i 0.526475 + 0.978252i
\(403\) 10.8663 6.27364i 0.541287 0.312512i
\(404\) 7.23591 10.9640i 0.360000 0.545481i
\(405\) 10.1466 14.5871i 0.504189 0.724840i
\(406\) 21.0884 30.1960i 1.04660 1.49860i
\(407\) −34.6469 −1.71738
\(408\) 4.91059 + 3.45574i 0.243110 + 0.171085i
\(409\) −10.4748 + 6.04761i −0.517944 + 0.299035i −0.736093 0.676880i \(-0.763331\pi\)
0.218149 + 0.975915i \(0.429998\pi\)
\(410\) 12.4124 + 1.42161i 0.613006 + 0.0702084i
\(411\) −2.97597 1.71818i −0.146794 0.0847514i
\(412\) 1.28026 21.4008i 0.0630740 1.05434i
\(413\) 9.04611 4.56596i 0.445130 0.224676i
\(414\) −0.00365686 + 0.122365i −0.000179725 + 0.00601390i
\(415\) −12.2103 25.9740i −0.599380 1.27501i
\(416\) 5.69675 + 14.5057i 0.279306 + 0.711202i
\(417\) 22.8074 13.1679i 1.11688 0.644833i
\(418\) 14.5570 23.5589i 0.712004 1.15230i
\(419\) 12.5618i 0.613682i 0.951761 + 0.306841i \(0.0992719\pi\)
−0.951761 + 0.306841i \(0.900728\pi\)
\(420\) −18.9924 3.85142i −0.926734 0.187930i
\(421\) 3.98711i 0.194320i 0.995269 + 0.0971600i \(0.0309759\pi\)
−0.995269 + 0.0971600i \(0.969024\pi\)
\(422\) −17.7802 10.9863i −0.865528 0.534807i
\(423\) −2.29369 + 1.32426i −0.111523 + 0.0643879i
\(424\) 27.7165 12.8448i 1.34603 0.623800i
\(425\) 6.38949 + 1.08573i 0.309936 + 0.0526657i
\(426\) 3.28864 + 0.0982808i 0.159335 + 0.00476172i
\(427\) 13.7377 20.9791i 0.664815 1.01525i
\(428\) −0.407600 + 6.81341i −0.0197021 + 0.329338i
\(429\) −17.1449 9.89863i −0.827765 0.477910i
\(430\) 14.0235 + 1.60613i 0.676275 + 0.0774547i
\(431\) −3.74772 + 2.16375i −0.180521 + 0.104224i −0.587538 0.809197i \(-0.699903\pi\)
0.407016 + 0.913421i \(0.366569\pi\)
\(432\) 13.0336 17.3925i 0.627078 0.836798i
\(433\) −4.33970 −0.208552 −0.104276 0.994548i \(-0.533253\pi\)
−0.104276 + 0.994548i \(0.533253\pi\)
\(434\) −1.46443 + 16.9783i −0.0702948 + 0.814983i
\(435\) −29.5942 20.5853i −1.41894 0.986991i
\(436\) −14.9142 9.84287i −0.714259 0.471388i
\(437\) −1.05366 + 0.608331i −0.0504034 + 0.0291004i
\(438\) −7.53618 + 4.05582i −0.360093 + 0.193794i
\(439\) −4.07497 + 7.05805i −0.194488 + 0.336862i −0.946732 0.322021i \(-0.895638\pi\)
0.752245 + 0.658884i \(0.228971\pi\)
\(440\) 21.2708 + 17.8213i 1.01404 + 0.849595i
\(441\) 1.32017 1.78828i 0.0628651 0.0851563i
\(442\) −5.04788 0.150856i −0.240103 0.00717547i
\(443\) −13.7175 7.91978i −0.651737 0.376280i 0.137385 0.990518i \(-0.456130\pi\)
−0.789121 + 0.614237i \(0.789464\pi\)
\(444\) −11.5723 23.1332i −0.549199 1.09785i
\(445\) −0.685321 + 8.12399i −0.0324873 + 0.385114i
\(446\) 5.20556 8.42465i 0.246490 0.398919i
\(447\) 20.0318i 0.947473i
\(448\) −20.5822 4.93701i −0.972416 0.233252i
\(449\) 35.2873 1.66531 0.832656 0.553790i \(-0.186819\pi\)
0.832656 + 0.553790i \(0.186819\pi\)
\(450\) 0.442106 2.20140i 0.0208411 0.103775i
\(451\) −15.0122 + 8.66730i −0.706897 + 0.408127i
\(452\) 16.6530 8.33067i 0.783293 0.391842i
\(453\) −8.79617 5.07847i −0.413280 0.238607i
\(454\) 0.866944 29.0094i 0.0406877 1.36148i
\(455\) 15.1159 6.09497i 0.708643 0.285736i
\(456\) 20.5920 + 1.85058i 0.964310 + 0.0866614i
\(457\) 8.94810 + 5.16619i 0.418574 + 0.241664i 0.694467 0.719524i \(-0.255640\pi\)
−0.275893 + 0.961188i \(0.588973\pi\)
\(458\) 31.1132 16.7445i 1.45382 0.782417i
\(459\) 3.52152 + 6.09945i 0.164370 + 0.284698i
\(460\) −0.451848 1.13230i −0.0210675 0.0527940i
\(461\) 17.9765 0.837247 0.418624 0.908160i \(-0.362513\pi\)
0.418624 + 0.908160i \(0.362513\pi\)
\(462\) 24.3548 11.3932i 1.13309 0.530060i
\(463\) −10.7604 −0.500076 −0.250038 0.968236i \(-0.580443\pi\)
−0.250038 + 0.968236i \(0.580443\pi\)
\(464\) −31.5086 23.6118i −1.46275 1.09615i
\(465\) 16.6207 + 1.40209i 0.770768 + 0.0650203i
\(466\) 2.79460 + 5.19268i 0.129457 + 0.240546i
\(467\) −6.90606 + 11.9616i −0.319574 + 0.553519i −0.980399 0.197021i \(-0.936873\pi\)
0.660825 + 0.750540i \(0.270207\pi\)
\(468\) −0.104481 + 1.74649i −0.00482962 + 0.0807314i
\(469\) 22.7135 11.4645i 1.04881 0.529380i
\(470\) 15.7014 21.1931i 0.724249 0.977564i
\(471\) −13.8399 7.99046i −0.637708 0.368181i
\(472\) −4.55492 9.82859i −0.209657 0.452398i
\(473\) −16.9608 + 9.79230i −0.779856 + 0.450250i
\(474\) −17.3254 + 28.0394i −0.795784 + 1.28789i
\(475\) 20.9218 7.76251i 0.959956 0.356168i
\(476\) 4.09345 5.50350i 0.187623 0.252253i
\(477\) 3.42958 0.157030
\(478\) −19.7266 + 31.9255i −0.902275 + 1.46024i
\(479\) 13.2230 + 22.9030i 0.604176 + 1.04646i 0.992181 + 0.124807i \(0.0398310\pi\)
−0.388005 + 0.921657i \(0.626836\pi\)
\(480\) −4.79435 + 20.1546i −0.218831 + 0.919927i
\(481\) 18.8399 + 10.8772i 0.859025 + 0.495959i
\(482\) −42.7531 1.27767i −1.94735 0.0581964i
\(483\) −1.17941 0.0663104i −0.0536651 0.00301723i
\(484\) −16.4727 0.985449i −0.748758 0.0447931i
\(485\) 0.0189521 + 0.0403154i 0.000860572 + 0.00183063i
\(486\) 4.09163 2.20203i 0.185600 0.0998861i
\(487\) −4.61070 7.98597i −0.208931 0.361879i 0.742447 0.669905i \(-0.233665\pi\)
−0.951378 + 0.308026i \(0.900332\pi\)
\(488\) −21.9236 15.4284i −0.992437 0.698410i
\(489\) 21.9409i 0.992204i
\(490\) −4.96807 + 21.5712i −0.224435 + 0.974489i
\(491\) −5.89733 −0.266143 −0.133071 0.991106i \(-0.542484\pi\)
−0.133071 + 0.991106i \(0.542484\pi\)
\(492\) −10.8012 7.12846i −0.486956 0.321376i
\(493\) 11.0499 6.37964i 0.497661 0.287325i
\(494\) −15.3118 + 8.24050i −0.688911 + 0.370758i
\(495\) 1.32539 + 2.81940i 0.0595719 + 0.126722i
\(496\) 18.0880 + 2.17194i 0.812174 + 0.0975228i
\(497\) 0.210964 3.75226i 0.00946304 0.168312i
\(498\) −0.888075 + 29.7165i −0.0397956 + 1.33163i
\(499\) −5.74782 + 9.95552i −0.257308 + 0.445670i −0.965520 0.260330i \(-0.916169\pi\)
0.708212 + 0.706000i \(0.249502\pi\)
\(500\) 4.69129 + 21.8630i 0.209801 + 0.977744i
\(501\) 1.34752 0.777990i 0.0602027 0.0347580i
\(502\) −15.9140 + 25.7551i −0.710275 + 1.14950i
\(503\) 34.0508i 1.51825i 0.650944 + 0.759125i \(0.274373\pi\)
−0.650944 + 0.759125i \(0.725627\pi\)
\(504\) −1.86346 1.47449i −0.0830053 0.0656790i
\(505\) −8.38673 + 12.0571i −0.373205 + 0.536533i
\(506\) 1.43898 + 0.889143i 0.0639706 + 0.0395272i
\(507\) −4.43059 7.67400i −0.196769 0.340815i
\(508\) −2.58564 5.16871i −0.114719 0.229324i
\(509\) −3.48710 + 6.03983i −0.154563 + 0.267711i −0.932900 0.360136i \(-0.882730\pi\)
0.778337 + 0.627847i \(0.216064\pi\)
\(510\) −5.39428 3.99647i −0.238863 0.176967i
\(511\) 4.40495 + 8.72713i 0.194864 + 0.386065i
\(512\) −6.01111 + 21.8144i −0.265656 + 0.964068i
\(513\) 21.0014 + 12.1252i 0.927234 + 0.535339i
\(514\) −12.2175 + 6.57520i −0.538890 + 0.290019i
\(515\) −2.01486 + 23.8847i −0.0887854 + 1.05249i
\(516\) −12.2032 8.05372i −0.537216 0.354545i
\(517\) 36.5958i 1.60948i
\(518\) −26.7626 + 12.5196i −1.17588 + 0.550078i
\(519\) 11.6982i 0.513494i
\(520\) −5.97148 16.3685i −0.261867 0.717806i
\(521\) 11.7331 6.77412i 0.514037 0.296780i −0.220454 0.975397i \(-0.570754\pi\)
0.734492 + 0.678618i \(0.237421\pi\)
\(522\) −2.09487 3.89252i −0.0916901 0.170371i
\(523\) 19.7080 34.1352i 0.861769 1.49263i −0.00845156 0.999964i \(-0.502690\pi\)
0.870220 0.492663i \(-0.163976\pi\)
\(524\) 0.0263821 0.441002i 0.00115251 0.0192652i
\(525\) 21.1227 + 4.82294i 0.921871 + 0.210490i
\(526\) 0.525151 17.5724i 0.0228977 0.766195i
\(527\) −2.95179 + 5.11266i −0.128582 + 0.222711i
\(528\) −11.3019 26.4293i −0.491853 1.15019i
\(529\) 11.4628 + 19.8542i 0.498384 + 0.863227i
\(530\) −31.3292 + 13.6004i −1.36086 + 0.590765i
\(531\) 1.21617i 0.0527773i
\(532\) 2.73140 23.4579i 0.118421 1.01703i
\(533\) 10.8842 0.471448
\(534\) 4.43914 7.18428i 0.192101 0.310894i
\(535\) 0.641475 7.60423i 0.0277334 0.328760i
\(536\) −11.4368 24.6782i −0.493993 1.06594i
\(537\) −2.57809 + 4.46538i −0.111253 + 0.192695i
\(538\) −0.294294 + 9.84756i −0.0126879 + 0.424559i
\(539\) −12.2784 28.1522i −0.528866 1.21260i
\(540\) −15.0422 + 19.0840i −0.647312 + 0.821246i
\(541\) −31.6007 18.2447i −1.35862 0.784399i −0.369181 0.929358i \(-0.620362\pi\)
−0.989438 + 0.144959i \(0.953695\pi\)
\(542\) 33.3723 17.9603i 1.43346 0.771460i
\(543\) −13.4773 23.3433i −0.578365 1.00176i
\(544\) −5.73378 4.57048i −0.245834 0.195958i
\(545\) 16.4010 + 11.4083i 0.702542 + 0.488678i
\(546\) −16.8202 1.45080i −0.719840 0.0620884i
\(547\) 2.03370i 0.0869549i 0.999054 + 0.0434775i \(0.0138437\pi\)
−0.999054 + 0.0434775i \(0.986156\pi\)
\(548\) 3.50228 + 2.31139i 0.149610 + 0.0987378i
\(549\) −1.50485 2.60648i −0.0642255 0.111242i
\(550\) −23.2881 20.4992i −0.993008 0.874089i
\(551\) 21.9661 38.0464i 0.935788 1.62083i
\(552\) −0.113034 + 1.25777i −0.00481105 + 0.0535341i
\(553\) 31.4972 + 20.6253i 1.33940 + 0.877078i
\(554\) 0.725852 24.2882i 0.0308385 1.03191i
\(555\) 12.3032 + 26.1717i 0.522244 + 1.11093i
\(556\) −28.7614 + 14.3879i −1.21976 + 0.610182i
\(557\) −12.2222 21.1695i −0.517871 0.896980i −0.999784 0.0207606i \(-0.993391\pi\)
0.481913 0.876219i \(-0.339942\pi\)
\(558\) 1.73993 + 1.07510i 0.0736571 + 0.0455125i
\(559\) 12.2970 0.520107
\(560\) 22.8700 + 6.07967i 0.966435 + 0.256913i
\(561\) 9.31475 0.393269
\(562\) 29.2581 + 18.0785i 1.23418 + 0.762595i
\(563\) 14.5272 + 25.1619i 0.612250 + 1.06045i 0.990860 + 0.134892i \(0.0430689\pi\)
−0.378610 + 0.925556i \(0.623598\pi\)
\(564\) −24.4345 + 12.2233i −1.02888 + 0.514694i
\(565\) −18.8404 + 8.85683i −0.792623 + 0.372610i
\(566\) −0.478788 + 16.0211i −0.0201250 + 0.673416i
\(567\) 9.47362 + 18.7692i 0.397855 + 0.788233i
\(568\) −4.00154 0.359614i −0.167901 0.0150891i
\(569\) −11.1856 + 19.3740i −0.468923 + 0.812199i −0.999369 0.0355198i \(-0.988691\pi\)
0.530446 + 0.847719i \(0.322025\pi\)
\(570\) −22.9652 2.63024i −0.961908 0.110169i
\(571\) −21.2867 36.8696i −0.890820 1.54295i −0.838895 0.544294i \(-0.816798\pi\)
−0.0519252 0.998651i \(-0.516536\pi\)
\(572\) 20.1771 + 13.3162i 0.843646 + 0.556779i
\(573\) 26.3022i 1.09879i
\(574\) −8.46409 + 12.1196i −0.353284 + 0.505861i
\(575\) 0.474136 + 1.27791i 0.0197728 + 0.0532924i
\(576\) −1.64207 + 1.93827i −0.0684194 + 0.0807613i
\(577\) 16.2853 + 28.2069i 0.677965 + 1.17427i 0.975593 + 0.219588i \(0.0704713\pi\)
−0.297628 + 0.954682i \(0.596195\pi\)
\(578\) −19.0781 + 10.2674i −0.793544 + 0.427069i
\(579\) −23.3615 13.4878i −0.970873 0.560534i
\(580\) 34.5729 + 27.2507i 1.43556 + 1.13152i
\(581\) 33.9058 + 1.90629i 1.40665 + 0.0790864i
\(582\) 0.00137842 0.0461243i 5.71374e−5 0.00191191i
\(583\) 23.6940 41.0392i 0.981305 1.69967i
\(584\) 9.48202 4.39431i 0.392369 0.181838i
\(585\) 0.164430 1.94920i 0.00679835 0.0805895i
\(586\) −10.0837 + 16.3194i −0.416554 + 0.674148i
\(587\) 21.4007 0.883301 0.441650 0.897187i \(-0.354393\pi\)
0.441650 + 0.897187i \(0.354393\pi\)
\(588\) 14.6957 17.6011i 0.606039 0.725858i
\(589\) 20.3270i 0.837559i
\(590\) 4.82287 + 11.1097i 0.198555 + 0.457379i
\(591\) −3.82535 6.62569i −0.157354 0.272545i
\(592\) 12.4193 + 29.0422i 0.510428 + 1.19363i
\(593\) −3.83778 + 6.64723i −0.157599 + 0.272969i −0.934002 0.357267i \(-0.883709\pi\)
0.776403 + 0.630236i \(0.217042\pi\)
\(594\) 1.00712 33.7001i 0.0413228 1.38273i
\(595\) −4.72542 + 6.03958i −0.193723 + 0.247599i
\(596\) 1.46076 24.4179i 0.0598350 1.00020i
\(597\) −9.55079 + 16.5425i −0.390888 + 0.677038i
\(598\) −0.503332 0.935250i −0.0205828 0.0382452i
\(599\) −26.5598 + 15.3343i −1.08520 + 0.626543i −0.932296 0.361697i \(-0.882197\pi\)
−0.152909 + 0.988240i \(0.548864\pi\)
\(600\) 5.90856 22.3960i 0.241216 0.914313i
\(601\) 4.23258i 0.172650i 0.996267 + 0.0863252i \(0.0275124\pi\)
−0.996267 + 0.0863252i \(0.972488\pi\)
\(602\) −9.56271 + 13.6927i −0.389747 + 0.558072i
\(603\) 3.05363i 0.124353i
\(604\) 10.3518 + 6.83186i 0.421209 + 0.277985i
\(605\) 18.3846 + 1.55089i 0.747442 + 0.0630525i
\(606\) 13.3967 7.20984i 0.544204 0.292880i
\(607\) −0.700185 0.404252i −0.0284196 0.0164081i 0.485723 0.874113i \(-0.338556\pi\)
−0.514142 + 0.857705i \(0.671890\pi\)
\(608\) −24.9658 3.75738i −1.01250 0.152382i
\(609\) 38.0788 19.2200i 1.54303 0.778834i
\(610\) 24.0831 + 17.8425i 0.975097 + 0.722422i
\(611\) 11.4891 19.8997i 0.464799 0.805055i
\(612\) −0.368295 0.736223i −0.0148874 0.0297600i
\(613\) −15.9214 27.5766i −0.643058 1.11381i −0.984746 0.173995i \(-0.944332\pi\)
0.341689 0.939813i \(-0.389001\pi\)
\(614\) 24.2506 + 14.9844i 0.978676 + 0.604720i
\(615\) 11.8780 + 8.26219i 0.478968 + 0.333164i
\(616\) −30.5182 + 12.1118i −1.22962 + 0.487999i
\(617\) 23.7720i 0.957025i 0.878081 + 0.478513i \(0.158824\pi\)
−0.878081 + 0.478513i \(0.841176\pi\)
\(618\) 13.0512 21.1220i 0.524996 0.849650i
\(619\) −12.8725 + 7.43195i −0.517390 + 0.298715i −0.735866 0.677127i \(-0.763225\pi\)
0.218476 + 0.975842i \(0.429891\pi\)
\(620\) −20.1577 2.92110i −0.809553 0.117314i
\(621\) −0.740608 + 1.28277i −0.0297196 + 0.0514758i
\(622\) 0.562371 18.8179i 0.0225490 0.754529i
\(623\) −8.07025 5.28464i −0.323328 0.211725i
\(624\) −2.15172 + 17.9196i −0.0861378 + 0.717359i
\(625\) −4.64694 24.5643i −0.185878 0.982573i
\(626\) 33.3493 17.9479i 1.33290 0.717342i
\(627\) 27.7753 16.0361i 1.10924 0.640419i
\(628\) 16.2875 + 10.7492i 0.649943 + 0.428942i
\(629\) −10.2356 −0.408121
\(630\) 2.04256 + 1.69888i 0.0813777 + 0.0676851i
\(631\) 13.4670i 0.536112i 0.963403 + 0.268056i \(0.0863812\pi\)
−0.963403 + 0.268056i \(0.913619\pi\)
\(632\) 23.1636 32.9154i 0.921400 1.30930i
\(633\) −12.1027 20.9624i −0.481038 0.833182i
\(634\) 38.3370 20.6322i 1.52256 0.819408i
\(635\) 2.74895 + 5.84762i 0.109089 + 0.232056i
\(636\) 35.3152 + 2.11267i 1.40034 + 0.0837729i
\(637\) −2.16165 + 19.1630i −0.0856476 + 0.759266i
\(638\) −61.0517 1.82452i −2.41706 0.0722336i
\(639\) −0.390625 0.225527i −0.0154529 0.00892172i
\(640\) 7.31381 24.2179i 0.289104 0.957298i
\(641\) 17.8399 + 30.8996i 0.704634 + 1.22046i 0.966823 + 0.255445i \(0.0822221\pi\)
−0.262189 + 0.965016i \(0.584445\pi\)
\(642\) −4.15514 + 6.72465i −0.163990 + 0.265401i
\(643\) −18.9130 −0.745857 −0.372929 0.927860i \(-0.621646\pi\)
−0.372929 + 0.927860i \(0.621646\pi\)
\(644\) 1.43281 + 0.166834i 0.0564608 + 0.00657420i
\(645\) 13.4198 + 9.33461i 0.528403 + 0.367550i
\(646\) 4.30051 6.95993i 0.169201 0.273835i
\(647\) −20.2631 + 11.6989i −0.796625 + 0.459932i −0.842290 0.539025i \(-0.818793\pi\)
0.0456648 + 0.998957i \(0.485459\pi\)
\(648\) 20.3927 9.45073i 0.801103 0.371260i
\(649\) −14.5530 8.40217i −0.571254 0.329814i
\(650\) 6.22773 + 18.4580i 0.244272 + 0.723983i
\(651\) −10.8118 + 16.5108i −0.423746 + 0.647109i
\(652\) 1.59997 26.7450i 0.0626598 1.04742i
\(653\) −14.7067 + 25.4728i −0.575519 + 0.996829i 0.420466 + 0.907308i \(0.361867\pi\)
−0.995985 + 0.0895203i \(0.971467\pi\)
\(654\) −9.80741 18.2233i −0.383500 0.712587i
\(655\) −0.0415199 + 0.492188i −0.00162232 + 0.0192314i
\(656\) 12.6464 + 9.47691i 0.493758 + 0.370011i
\(657\) 1.17329 0.0457742
\(658\) 13.2238 + 28.2680i 0.515518 + 1.10200i
\(659\) 33.7483 1.31465 0.657323 0.753609i \(-0.271689\pi\)
0.657323 + 0.753609i \(0.271689\pi\)
\(660\) 11.9111 + 29.8485i 0.463638 + 1.16185i
\(661\) −21.6521 37.5025i −0.842168 1.45868i −0.888058 0.459731i \(-0.847946\pi\)
0.0458899 0.998947i \(-0.485388\pi\)
\(662\) 5.73505 3.08649i 0.222899 0.119960i
\(663\) −5.06507 2.92432i −0.196711 0.113571i
\(664\) 3.24950 36.1583i 0.126105 1.40321i
\(665\) −3.69292 + 26.1444i −0.143205 + 1.01384i
\(666\) −0.105928 + 3.54453i −0.00410462 + 0.137348i
\(667\) 2.32389 + 1.34170i 0.0899813 + 0.0519507i
\(668\) −1.69930 + 0.850071i −0.0657477 + 0.0328902i
\(669\) 9.93244 5.73450i 0.384010 0.221708i
\(670\) 12.1095 + 27.8949i 0.467833 + 1.07767i
\(671\) −41.5863 −1.60542
\(672\) −18.2802 16.3311i −0.705174 0.629986i
\(673\) 8.11472i 0.312799i 0.987694 + 0.156400i \(0.0499888\pi\)
−0.987694 + 0.156400i \(0.950011\pi\)
\(674\) −9.14132 + 14.7943i −0.352110 + 0.569853i
\(675\) 17.3334 20.9198i 0.667161 0.805204i
\(676\) 4.84109 + 9.67735i 0.186196 + 0.372206i
\(677\) 37.9364 + 21.9026i 1.45802 + 0.841786i 0.998914 0.0465975i \(-0.0148378\pi\)
0.459102 + 0.888383i \(0.348171\pi\)
\(678\) 21.5551 + 0.644172i 0.827818 + 0.0247393i
\(679\) −0.0526267 0.00295884i −0.00201963 0.000113550i
\(680\) 6.28395 + 5.26488i 0.240979 + 0.201899i
\(681\) 16.8056 29.1082i 0.643992 1.11543i
\(682\) 24.8856 13.3929i 0.952917 0.512840i
\(683\) 20.0699 11.5874i 0.767954 0.443378i −0.0641905 0.997938i \(-0.520447\pi\)
0.832144 + 0.554559i \(0.187113\pi\)
\(684\) −2.36567 1.56127i −0.0904537 0.0596965i
\(685\) −3.85144 2.67900i −0.147156 0.102359i
\(686\) −19.6570 17.3090i −0.750507 0.660862i
\(687\) 40.9194 1.56117
\(688\) 14.2879 + 10.7070i 0.544719 + 0.408201i
\(689\) −25.7681 + 14.8772i −0.981687 + 0.566777i
\(690\) 0.160656 1.40272i 0.00611606 0.0534008i
\(691\) 25.5204 + 14.7342i 0.970842 + 0.560516i 0.899493 0.436935i \(-0.143936\pi\)
0.0713493 + 0.997451i \(0.477269\pi\)
\(692\) −0.853054 + 14.2596i −0.0324282 + 0.542067i
\(693\) −3.68037 0.206922i −0.139806 0.00786033i
\(694\) 11.3239 + 0.338412i 0.429847 + 0.0128460i
\(695\) 32.5393 15.2966i 1.23428 0.580233i
\(696\) −19.1736 41.3726i −0.726772 1.56823i
\(697\) −4.43501 + 2.56055i −0.167988 + 0.0969878i
\(698\) −18.4376 11.3925i −0.697872 0.431213i
\(699\) 6.82932i 0.258308i
\(700\) −25.3960 7.41925i −0.959877 0.280421i
\(701\) 13.3928i 0.505839i −0.967487 0.252919i \(-0.918609\pi\)
0.967487 0.252919i \(-0.0813907\pi\)
\(702\) −11.1276 + 18.0089i −0.419985 + 0.679702i
\(703\) −30.5212 + 17.6214i −1.15113 + 0.664605i
\(704\) 11.8493 + 33.0403i 0.446586 + 1.24525i
\(705\) 27.6439 12.9953i 1.04113 0.489432i
\(706\) −1.24292 + 41.5901i −0.0467778 + 1.56526i
\(707\) −7.83048 15.5138i −0.294496 0.583457i
\(708\) 0.749177 12.5232i 0.0281558 0.470650i
\(709\) 24.6438 + 14.2281i 0.925519 + 0.534349i 0.885392 0.464846i \(-0.153890\pi\)
0.0401274 + 0.999195i \(0.487224\pi\)
\(710\) 4.46271 + 0.511121i 0.167483 + 0.0191820i
\(711\) 3.91327 2.25933i 0.146759 0.0847315i
\(712\) −5.93501 + 8.43361i −0.222424 + 0.316063i
\(713\) −1.24158 −0.0464975
\(714\) 7.19507 3.36586i 0.269269 0.125964i
\(715\) −22.1886 15.4341i −0.829807 0.577202i
\(716\) 3.46820 5.25510i 0.129613 0.196392i
\(717\) −37.6393 + 21.7310i −1.40566 + 0.811561i
\(718\) −2.38987 4.44066i −0.0891892 0.165724i
\(719\) 9.06118 15.6944i 0.337925 0.585303i −0.646117 0.763238i \(-0.723608\pi\)
0.984042 + 0.177935i \(0.0569416\pi\)
\(720\) 1.88822 2.12161i 0.0703699 0.0790676i
\(721\) −23.7267 15.5370i −0.883630 0.578627i
\(722\) 0.0388252 1.29916i 0.00144492 0.0483496i
\(723\) −42.8987 24.7675i −1.59542 0.921115i
\(724\) 14.7259 + 29.4372i 0.547285 + 1.09403i
\(725\) −37.8987 31.4014i −1.40752 1.16622i
\(726\) −16.2581 10.0458i −0.603394 0.372835i
\(727\) 29.8811i 1.10823i 0.832441 + 0.554114i \(0.186943\pi\)
−0.832441 + 0.554114i \(0.813057\pi\)
\(728\) 20.3973 + 2.99502i 0.755975 + 0.111003i
\(729\) 29.2209 1.08225
\(730\) −10.7180 + 4.65281i −0.396690 + 0.172208i
\(731\) −5.01066 + 2.89291i −0.185326 + 0.106998i
\(732\) −13.8902 27.7665i −0.513396 1.02628i
\(733\) −15.0078 8.66474i −0.554325 0.320040i 0.196540 0.980496i \(-0.437030\pi\)
−0.750864 + 0.660456i \(0.770363\pi\)
\(734\) 13.3071 + 0.397681i 0.491173 + 0.0146787i
\(735\) −16.9056 + 19.2718i −0.623573 + 0.710852i
\(736\) 0.229502 1.52492i 0.00845956 0.0562093i
\(737\) −36.5405 21.0966i −1.34599 0.777105i
\(738\) 0.840804 + 1.56231i 0.0309504 + 0.0575095i
\(739\) 2.12219 + 3.67574i 0.0780659 + 0.135214i 0.902415 0.430867i \(-0.141792\pi\)
−0.824350 + 0.566081i \(0.808459\pi\)
\(740\) −13.0886 32.7993i −0.481147 1.20573i
\(741\) −20.1378 −0.739780
\(742\) 3.47273 40.2620i 0.127488 1.47807i
\(743\) 30.6848 1.12571 0.562857 0.826554i \(-0.309702\pi\)
0.562857 + 0.826554i \(0.309702\pi\)
\(744\) 17.2542 + 12.1423i 0.632570 + 0.445160i
\(745\) −2.29892 + 27.2521i −0.0842259 + 0.998438i
\(746\) −7.36863 + 3.96565i −0.269785 + 0.145193i
\(747\) 2.03789 3.52972i 0.0745624 0.129146i
\(748\) −11.3543 0.679249i −0.415153 0.0248358i
\(749\) 7.55393 + 4.94654i 0.276015 + 0.180743i
\(750\) −7.21507 + 24.8708i −0.263457 + 0.908154i
\(751\) 14.4254 + 8.32852i 0.526391 + 0.303912i 0.739546 0.673107i \(-0.235040\pi\)
−0.213155 + 0.977018i \(0.568374\pi\)
\(752\) 30.6759 13.1179i 1.11863 0.478359i
\(753\) −30.3645 + 17.5310i −1.10655 + 0.638864i
\(754\) 32.6252 + 20.1590i 1.18814 + 0.734147i
\(755\) −11.3838 7.91842i −0.414300 0.288181i
\(756\) −11.3995 26.3952i −0.414596 0.959983i
\(757\) 19.7599 0.718184 0.359092 0.933302i \(-0.383086\pi\)
0.359092 + 0.933302i \(0.383086\pi\)
\(758\) −12.1414 7.50211i −0.440994 0.272489i
\(759\) 0.979488 + 1.69652i 0.0355532 + 0.0615799i
\(760\) 27.8018 + 4.88081i 1.00848 + 0.177046i
\(761\) −8.58074 4.95409i −0.311052 0.179586i 0.336345 0.941739i \(-0.390809\pi\)
−0.647397 + 0.762153i \(0.724142\pi\)
\(762\) 0.199936 6.69018i 0.00724290 0.242360i
\(763\) −21.1031 + 10.6517i −0.763985 + 0.385616i
\(764\) −1.91801 + 32.0612i −0.0693911 + 1.15993i
\(765\) 0.391556 + 0.832925i 0.0141567 + 0.0301145i
\(766\) −14.2209 26.4241i −0.513823 0.954743i
\(767\) 5.27564 + 9.13767i 0.190492 + 0.329942i
\(768\) −18.1027 + 18.9473i −0.653226 + 0.683702i
\(769\) 32.4947i 1.17179i −0.810387 0.585895i \(-0.800743\pi\)
0.810387 0.585895i \(-0.199257\pi\)
\(770\) 34.4407 12.7047i 1.24116 0.457846i
\(771\) −16.0682 −0.578681
\(772\) 27.4931 + 18.1446i 0.989499 + 0.653038i
\(773\) −15.9884 + 9.23089i −0.575062 + 0.332012i −0.759168 0.650894i \(-0.774394\pi\)
0.184107 + 0.982906i \(0.441061\pi\)
\(774\) 0.949939