Properties

Label 138.2.e.a.55.1
Level $138$
Weight $2$
Character 138.55
Analytic conductor $1.102$
Analytic rank $0$
Dimension $10$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.e (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(10\)
Coefficient field: \(\Q(\zeta_{22})\)
Defining polynomial: \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 55.1
Root \(0.959493 - 0.281733i\) of defining polynomial
Character \(\chi\) \(=\) 138.55
Dual form 138.2.e.a.133.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.455922 + 3.17101i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.628663 - 1.37658i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 + 0.281733i) q^{2} +(-0.654861 - 0.755750i) q^{3} +(0.841254 - 0.540641i) q^{4} +(0.455922 + 3.17101i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.628663 - 1.37658i) q^{7} +(-0.654861 + 0.755750i) q^{8} +(-0.142315 + 0.989821i) q^{9} +(-1.33083 - 2.91411i) q^{10} +(6.27358 + 1.84209i) q^{11} +(-0.959493 - 0.281733i) q^{12} +(1.19894 + 2.62531i) q^{13} +(-0.215370 + 1.49793i) q^{14} +(2.09792 - 2.42113i) q^{15} +(0.415415 - 0.909632i) q^{16} +(-1.00654 - 0.646863i) q^{17} +(-0.142315 - 0.989821i) q^{18} +(0.467362 - 0.300355i) q^{19} +(2.09792 + 2.42113i) q^{20} +(-1.45204 + 0.426356i) q^{21} -6.53843 q^{22} +(-4.66752 + 1.10192i) q^{23} +1.00000 q^{24} +(-5.04996 + 1.48280i) q^{25} +(-1.89001 - 2.18119i) q^{26} +(0.841254 - 0.540641i) q^{27} +(-0.215370 - 1.49793i) q^{28} +(-7.29298 - 4.68691i) q^{29} +(-1.33083 + 2.91411i) q^{30} +(4.41087 - 5.09042i) q^{31} +(-0.142315 + 0.989821i) q^{32} +(-2.71616 - 5.94756i) q^{33} +(1.14801 + 0.337086i) q^{34} +(4.65177 + 1.36588i) q^{35} +(0.415415 + 0.909632i) q^{36} +(0.206897 - 1.43900i) q^{37} +(-0.363811 + 0.419860i) q^{38} +(1.19894 - 2.62531i) q^{39} +(-2.69505 - 1.73201i) q^{40} +(0.262991 + 1.82915i) q^{41} +(1.27310 - 0.818172i) q^{42} +(-1.42353 - 1.64284i) q^{43} +(6.27358 - 1.84209i) q^{44} -3.20362 q^{45} +(4.16801 - 2.37227i) q^{46} -11.4135 q^{47} +(-0.959493 + 0.281733i) q^{48} +(3.08427 + 3.55944i) q^{49} +(4.42765 - 2.84548i) q^{50} +(0.170276 + 1.18430i) q^{51} +(2.42796 + 1.56036i) q^{52} +(5.01045 - 10.9714i) q^{53} +(-0.654861 + 0.755750i) q^{54} +(-2.98101 + 20.7334i) q^{55} +(0.628663 + 1.37658i) q^{56} +(-0.533050 - 0.156518i) q^{57} +(8.31801 + 2.44239i) q^{58} +(1.64562 + 3.60341i) q^{59} +(0.455922 - 3.17101i) q^{60} +(-5.91634 + 6.82782i) q^{61} +(-2.79806 + 6.12691i) q^{62} +(1.27310 + 0.818172i) q^{63} +(-0.142315 - 0.989821i) q^{64} +(-7.77825 + 4.99878i) q^{65} +(4.28176 + 4.94141i) q^{66} +(7.35733 - 2.16031i) q^{67} -1.19647 q^{68} +(3.88935 + 2.80588i) q^{69} -4.84815 q^{70} +(9.07303 - 2.66408i) q^{71} +(-0.654861 - 0.755750i) q^{72} +(-0.527969 + 0.339305i) q^{73} +(0.206897 + 1.43900i) q^{74} +(4.42765 + 2.84548i) q^{75} +(0.230786 - 0.505350i) q^{76} +(6.47975 - 7.47803i) q^{77} +(-0.410738 + 2.85675i) q^{78} +(-5.72115 - 12.5276i) q^{79} +(3.07385 + 0.902563i) q^{80} +(-0.959493 - 0.281733i) q^{81} +(-0.767668 - 1.68096i) q^{82} +(2.21852 - 15.4302i) q^{83} +(-0.991025 + 1.14370i) q^{84} +(1.59230 - 3.48666i) q^{85} +(1.82871 + 1.17524i) q^{86} +(1.23375 + 8.58094i) q^{87} +(-5.50048 + 3.53494i) q^{88} +(3.67930 + 4.24613i) q^{89} +(3.07385 - 0.902563i) q^{90} +4.36768 q^{91} +(-3.33083 + 3.45045i) q^{92} -6.73559 q^{93} +(10.9512 - 3.21556i) q^{94} +(1.16551 + 1.34507i) q^{95} +(0.841254 - 0.540641i) q^{96} +(1.03139 + 7.17350i) q^{97} +(-3.96215 - 2.54632i) q^{98} +(-2.71616 + 5.94756i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} - q^{3} - q^{4} + 8 q^{5} - q^{6} + 8 q^{7} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} - q^{3} - q^{4} + 8 q^{5} - q^{6} + 8 q^{7} - q^{8} - q^{9} - 3 q^{10} + 7 q^{11} - q^{12} + 3 q^{13} - 3 q^{14} - 3 q^{15} - q^{16} + 4 q^{17} - q^{18} - 3 q^{20} - 3 q^{21} - 26 q^{22} - 12 q^{23} + 10 q^{24} - 15 q^{25} + 3 q^{26} - q^{27} - 3 q^{28} - 25 q^{29} - 3 q^{30} + 6 q^{31} - q^{32} - 4 q^{33} - 7 q^{34} + 2 q^{35} - q^{36} + 9 q^{37} + 11 q^{38} + 3 q^{39} - 3 q^{40} + 24 q^{41} + 8 q^{42} - 30 q^{43} + 7 q^{44} - 14 q^{45} + 21 q^{46} - 48 q^{47} - q^{48} + 9 q^{49} + 7 q^{50} + 15 q^{51} + 14 q^{52} + 15 q^{53} - q^{54} - 23 q^{55} + 8 q^{56} - 11 q^{57} - 3 q^{58} + 5 q^{59} + 8 q^{60} + 12 q^{61} + 28 q^{62} + 8 q^{63} - q^{64} - 13 q^{65} + 18 q^{66} + 18 q^{67} - 18 q^{68} - q^{69} + 2 q^{70} + 28 q^{71} - q^{72} + 19 q^{73} + 9 q^{74} + 7 q^{75} + 22 q^{76} - 12 q^{77} - 8 q^{78} - 52 q^{79} + 8 q^{80} - q^{81} - 20 q^{82} + 7 q^{83} - 3 q^{84} + 23 q^{85} + 14 q^{86} + 30 q^{87} - 4 q^{88} + 3 q^{89} + 8 q^{90} + 42 q^{91} - 23 q^{92} - 16 q^{93} + 29 q^{94} + 22 q^{95} - q^{96} + 51 q^{97} - 2 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.959493 + 0.281733i −0.678464 + 0.199215i
\(3\) −0.654861 0.755750i −0.378084 0.436332i
\(4\) 0.841254 0.540641i 0.420627 0.270320i
\(5\) 0.455922 + 3.17101i 0.203895 + 1.41812i 0.792586 + 0.609760i \(0.208734\pi\)
−0.588692 + 0.808358i \(0.700357\pi\)
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) 0.628663 1.37658i 0.237612 0.520298i −0.752832 0.658213i \(-0.771313\pi\)
0.990444 + 0.137915i \(0.0440399\pi\)
\(8\) −0.654861 + 0.755750i −0.231528 + 0.267198i
\(9\) −0.142315 + 0.989821i −0.0474383 + 0.329940i
\(10\) −1.33083 2.91411i −0.420845 0.921523i
\(11\) 6.27358 + 1.84209i 1.89155 + 0.555411i 0.993243 + 0.116051i \(0.0370236\pi\)
0.898311 + 0.439360i \(0.144795\pi\)
\(12\) −0.959493 0.281733i −0.276982 0.0813292i
\(13\) 1.19894 + 2.62531i 0.332526 + 0.728130i 0.999862 0.0166269i \(-0.00529276\pi\)
−0.667336 + 0.744757i \(0.732565\pi\)
\(14\) −0.215370 + 1.49793i −0.0575601 + 0.400340i
\(15\) 2.09792 2.42113i 0.541681 0.625133i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) −1.00654 0.646863i −0.244121 0.156887i 0.412859 0.910795i \(-0.364530\pi\)
−0.656980 + 0.753908i \(0.728167\pi\)
\(18\) −0.142315 0.989821i −0.0335439 0.233303i
\(19\) 0.467362 0.300355i 0.107220 0.0689062i −0.485932 0.873997i \(-0.661520\pi\)
0.593152 + 0.805090i \(0.297883\pi\)
\(20\) 2.09792 + 2.42113i 0.469110 + 0.541381i
\(21\) −1.45204 + 0.426356i −0.316860 + 0.0930386i
\(22\) −6.53843 −1.39400
\(23\) −4.66752 + 1.10192i −0.973246 + 0.229765i
\(24\) 1.00000 0.204124
\(25\) −5.04996 + 1.48280i −1.00999 + 0.296560i
\(26\) −1.89001 2.18119i −0.370661 0.427766i
\(27\) 0.841254 0.540641i 0.161899 0.104046i
\(28\) −0.215370 1.49793i −0.0407012 0.283083i
\(29\) −7.29298 4.68691i −1.35427 0.870337i −0.356323 0.934363i \(-0.615970\pi\)
−0.997948 + 0.0640253i \(0.979606\pi\)
\(30\) −1.33083 + 2.91411i −0.242975 + 0.532041i
\(31\) 4.41087 5.09042i 0.792216 0.914266i −0.205712 0.978613i \(-0.565951\pi\)
0.997928 + 0.0643467i \(0.0204963\pi\)
\(32\) −0.142315 + 0.989821i −0.0251579 + 0.174977i
\(33\) −2.71616 5.94756i −0.472823 1.03534i
\(34\) 1.14801 + 0.337086i 0.196882 + 0.0578097i
\(35\) 4.65177 + 1.36588i 0.786292 + 0.230876i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 0.206897 1.43900i 0.0340137 0.236570i −0.965722 0.259580i \(-0.916416\pi\)
0.999735 + 0.0230098i \(0.00732488\pi\)
\(38\) −0.363811 + 0.419860i −0.0590179 + 0.0681103i
\(39\) 1.19894 2.62531i 0.191984 0.420386i
\(40\) −2.69505 1.73201i −0.426125 0.273854i
\(41\) 0.262991 + 1.82915i 0.0410724 + 0.285665i 0.999998 + 0.00200695i \(0.000638831\pi\)
−0.958926 + 0.283658i \(0.908452\pi\)
\(42\) 1.27310 0.818172i 0.196444 0.126247i
\(43\) −1.42353 1.64284i −0.217086 0.250531i 0.636753 0.771068i \(-0.280277\pi\)
−0.853839 + 0.520537i \(0.825732\pi\)
\(44\) 6.27358 1.84209i 0.945777 0.277705i
\(45\) −3.20362 −0.477567
\(46\) 4.16801 2.37227i 0.614540 0.349773i
\(47\) −11.4135 −1.66483 −0.832416 0.554152i \(-0.813043\pi\)
−0.832416 + 0.554152i \(0.813043\pi\)
\(48\) −0.959493 + 0.281733i −0.138491 + 0.0406646i
\(49\) 3.08427 + 3.55944i 0.440610 + 0.508491i
\(50\) 4.42765 2.84548i 0.626164 0.402411i
\(51\) 0.170276 + 1.18430i 0.0238434 + 0.165835i
\(52\) 2.42796 + 1.56036i 0.336698 + 0.216382i
\(53\) 5.01045 10.9714i 0.688238 1.50703i −0.165434 0.986221i \(-0.552902\pi\)
0.853672 0.520811i \(-0.174370\pi\)
\(54\) −0.654861 + 0.755750i −0.0891153 + 0.102844i
\(55\) −2.98101 + 20.7334i −0.401960 + 2.79569i
\(56\) 0.628663 + 1.37658i 0.0840086 + 0.183953i
\(57\) −0.533050 0.156518i −0.0706042 0.0207313i
\(58\) 8.31801 + 2.44239i 1.09221 + 0.320701i
\(59\) 1.64562 + 3.60341i 0.214242 + 0.469125i 0.985990 0.166804i \(-0.0533446\pi\)
−0.771748 + 0.635928i \(0.780617\pi\)
\(60\) 0.455922 3.17101i 0.0588593 0.409375i
\(61\) −5.91634 + 6.82782i −0.757510 + 0.874213i −0.995274 0.0971102i \(-0.969040\pi\)
0.237764 + 0.971323i \(0.423586\pi\)
\(62\) −2.79806 + 6.12691i −0.355355 + 0.778118i
\(63\) 1.27310 + 0.818172i 0.160396 + 0.103080i
\(64\) −0.142315 0.989821i −0.0177894 0.123728i
\(65\) −7.77825 + 4.99878i −0.964774 + 0.620022i
\(66\) 4.28176 + 4.94141i 0.527048 + 0.608246i
\(67\) 7.35733 2.16031i 0.898841 0.263924i 0.200504 0.979693i \(-0.435742\pi\)
0.698337 + 0.715769i \(0.253924\pi\)
\(68\) −1.19647 −0.145094
\(69\) 3.88935 + 2.80588i 0.468223 + 0.337788i
\(70\) −4.84815 −0.579465
\(71\) 9.07303 2.66408i 1.07677 0.316168i 0.305184 0.952293i \(-0.401282\pi\)
0.771586 + 0.636125i \(0.219464\pi\)
\(72\) −0.654861 0.755750i −0.0771761 0.0890659i
\(73\) −0.527969 + 0.339305i −0.0617941 + 0.0397127i −0.571173 0.820830i \(-0.693512\pi\)
0.509379 + 0.860542i \(0.329875\pi\)
\(74\) 0.206897 + 1.43900i 0.0240513 + 0.167281i
\(75\) 4.42765 + 2.84548i 0.511261 + 0.328567i
\(76\) 0.230786 0.505350i 0.0264729 0.0579676i
\(77\) 6.47975 7.47803i 0.738436 0.852200i
\(78\) −0.410738 + 2.85675i −0.0465069 + 0.323463i
\(79\) −5.72115 12.5276i −0.643680 1.40946i −0.896978 0.442074i \(-0.854243\pi\)
0.253298 0.967388i \(-0.418485\pi\)
\(80\) 3.07385 + 0.902563i 0.343667 + 0.100910i
\(81\) −0.959493 0.281733i −0.106610 0.0313036i
\(82\) −0.767668 1.68096i −0.0847748 0.185631i
\(83\) 2.21852 15.4302i 0.243515 1.69368i −0.390695 0.920520i \(-0.627765\pi\)
0.634209 0.773161i \(-0.281326\pi\)
\(84\) −0.991025 + 1.14370i −0.108130 + 0.124788i
\(85\) 1.59230 3.48666i 0.172710 0.378181i
\(86\) 1.82871 + 1.17524i 0.197195 + 0.126729i
\(87\) 1.23375 + 8.58094i 0.132272 + 0.919973i
\(88\) −5.50048 + 3.53494i −0.586353 + 0.376826i
\(89\) 3.67930 + 4.24613i 0.390005 + 0.450089i 0.916468 0.400109i \(-0.131028\pi\)
−0.526463 + 0.850198i \(0.676482\pi\)
\(90\) 3.07385 0.902563i 0.324012 0.0951385i
\(91\) 4.36768 0.457857
\(92\) −3.33083 + 3.45045i −0.347263 + 0.359734i
\(93\) −6.73559 −0.698448
\(94\) 10.9512 3.21556i 1.12953 0.331659i
\(95\) 1.16551 + 1.34507i 0.119579 + 0.138001i
\(96\) 0.841254 0.540641i 0.0858601 0.0551789i
\(97\) 1.03139 + 7.17350i 0.104722 + 0.728359i 0.972752 + 0.231847i \(0.0744769\pi\)
−0.868030 + 0.496512i \(0.834614\pi\)
\(98\) −3.96215 2.54632i −0.400237 0.257217i
\(99\) −2.71616 + 5.94756i −0.272985 + 0.597753i
\(100\) −3.44663 + 3.97763i −0.344663 + 0.397763i
\(101\) 0.145699 1.01336i 0.0144976 0.100833i −0.981288 0.192546i \(-0.938325\pi\)
0.995785 + 0.0917137i \(0.0292345\pi\)
\(102\) −0.497033 1.08835i −0.0492136 0.107763i
\(103\) −4.36497 1.28167i −0.430093 0.126287i 0.0595187 0.998227i \(-0.481043\pi\)
−0.489612 + 0.871940i \(0.662862\pi\)
\(104\) −2.76921 0.813115i −0.271544 0.0797325i
\(105\) −2.01399 4.41003i −0.196546 0.430375i
\(106\) −1.71650 + 11.9385i −0.166722 + 1.15957i
\(107\) 0.394872 0.455707i 0.0381738 0.0440549i −0.736342 0.676610i \(-0.763448\pi\)
0.774515 + 0.632555i \(0.217994\pi\)
\(108\) 0.415415 0.909632i 0.0399733 0.0875294i
\(109\) −4.94301 3.17668i −0.473454 0.304271i 0.282067 0.959395i \(-0.408980\pi\)
−0.755521 + 0.655124i \(0.772616\pi\)
\(110\) −2.98101 20.7334i −0.284229 1.97685i
\(111\) −1.22301 + 0.785983i −0.116083 + 0.0746022i
\(112\) −0.991025 1.14370i −0.0936431 0.108070i
\(113\) −11.8091 + 3.46746i −1.11091 + 0.326191i −0.785177 0.619272i \(-0.787428\pi\)
−0.325729 + 0.945463i \(0.605610\pi\)
\(114\) 0.555554 0.0520324
\(115\) −5.62221 14.2984i −0.524274 1.33333i
\(116\) −8.66918 −0.804913
\(117\) −2.76921 + 0.813115i −0.256014 + 0.0751725i
\(118\) −2.59416 2.99382i −0.238812 0.275604i
\(119\) −1.52323 + 0.978921i −0.139634 + 0.0897375i
\(120\) 0.455922 + 3.17101i 0.0416198 + 0.289472i
\(121\) 26.7107 + 17.1659i 2.42824 + 1.56054i
\(122\) 3.75307 8.21807i 0.339787 0.744029i
\(123\) 1.21015 1.39659i 0.109116 0.125926i
\(124\) 0.958574 6.66703i 0.0860825 0.598717i
\(125\) −0.350212 0.766857i −0.0313239 0.0685898i
\(126\) −1.45204 0.426356i −0.129358 0.0379828i
\(127\) −8.51054 2.49892i −0.755188 0.221743i −0.118595 0.992943i \(-0.537839\pi\)
−0.636594 + 0.771199i \(0.719657\pi\)
\(128\) 0.415415 + 0.909632i 0.0367178 + 0.0804009i
\(129\) −0.309362 + 2.15166i −0.0272378 + 0.189443i
\(130\) 6.05486 6.98768i 0.531046 0.612860i
\(131\) 5.20867 11.4054i 0.455083 0.996493i −0.533498 0.845802i \(-0.679123\pi\)
0.988581 0.150692i \(-0.0481501\pi\)
\(132\) −5.50048 3.53494i −0.478755 0.307677i
\(133\) −0.119650 0.832183i −0.0103750 0.0721594i
\(134\) −6.45068 + 4.14560i −0.557254 + 0.358125i
\(135\) 2.09792 + 2.42113i 0.180560 + 0.208378i
\(136\) 1.14801 0.337086i 0.0984409 0.0289049i
\(137\) −13.6483 −1.16606 −0.583028 0.812452i \(-0.698132\pi\)
−0.583028 + 0.812452i \(0.698132\pi\)
\(138\) −4.52231 1.59646i −0.384965 0.135900i
\(139\) −11.6537 −0.988455 −0.494227 0.869333i \(-0.664549\pi\)
−0.494227 + 0.869333i \(0.664549\pi\)
\(140\) 4.65177 1.36588i 0.393146 0.115438i
\(141\) 7.47426 + 8.62575i 0.629446 + 0.726420i
\(142\) −7.95495 + 5.11234i −0.667565 + 0.429018i
\(143\) 2.68558 + 18.6786i 0.224580 + 1.56199i
\(144\) 0.841254 + 0.540641i 0.0701045 + 0.0450534i
\(145\) 11.5372 25.2629i 0.958112 2.09797i
\(146\) 0.410989 0.474307i 0.0340137 0.0392539i
\(147\) 0.670276 4.66187i 0.0552834 0.384505i
\(148\) −0.603930 1.32242i −0.0496428 0.108702i
\(149\) −16.6025 4.87494i −1.36013 0.399371i −0.481322 0.876544i \(-0.659843\pi\)
−0.878809 + 0.477173i \(0.841661\pi\)
\(150\) −5.04996 1.48280i −0.412327 0.121070i
\(151\) −2.00749 4.39579i −0.163367 0.357724i 0.810190 0.586167i \(-0.199364\pi\)
−0.973557 + 0.228443i \(0.926637\pi\)
\(152\) −0.0790636 + 0.549899i −0.00641291 + 0.0446027i
\(153\) 0.783524 0.904235i 0.0633441 0.0731030i
\(154\) −4.11047 + 9.00067i −0.331231 + 0.725295i
\(155\) 18.1528 + 11.6661i 1.45807 + 0.937042i
\(156\) −0.410738 2.85675i −0.0328854 0.228723i
\(157\) −4.24859 + 2.73040i −0.339075 + 0.217910i −0.699086 0.715038i \(-0.746409\pi\)
0.360011 + 0.932948i \(0.382773\pi\)
\(158\) 9.01883 + 10.4083i 0.717500 + 0.828039i
\(159\) −11.5727 + 3.39807i −0.917779 + 0.269484i
\(160\) −3.20362 −0.253268
\(161\) −1.41742 + 7.11795i −0.111709 + 0.560973i
\(162\) 1.00000 0.0785674
\(163\) −3.42292 + 1.00506i −0.268104 + 0.0787225i −0.413021 0.910721i \(-0.635527\pi\)
0.144917 + 0.989444i \(0.453708\pi\)
\(164\) 1.21015 + 1.39659i 0.0944971 + 0.109055i
\(165\) 17.6214 11.3246i 1.37183 0.881618i
\(166\) 2.21852 + 15.4302i 0.172191 + 1.19761i
\(167\) 3.83643 + 2.46553i 0.296872 + 0.190788i 0.680594 0.732660i \(-0.261722\pi\)
−0.383722 + 0.923449i \(0.625358\pi\)
\(168\) 0.628663 1.37658i 0.0485024 0.106205i
\(169\) 3.05839 3.52957i 0.235261 0.271506i
\(170\) −0.545499 + 3.79403i −0.0418378 + 0.290989i
\(171\) 0.230786 + 0.505350i 0.0176486 + 0.0386451i
\(172\) −2.08574 0.612427i −0.159036 0.0466971i
\(173\) 14.9808 + 4.39875i 1.13897 + 0.334431i 0.796226 0.605000i \(-0.206827\pi\)
0.342740 + 0.939430i \(0.388645\pi\)
\(174\) −3.60131 7.88576i −0.273014 0.597818i
\(175\) −1.13353 + 7.88385i −0.0856866 + 0.595963i
\(176\) 4.28176 4.94141i 0.322750 0.372473i
\(177\) 1.64562 3.60341i 0.123693 0.270849i
\(178\) −4.72653 3.03756i −0.354269 0.227675i
\(179\) −0.911557 6.34002i −0.0681330 0.473875i −0.995111 0.0987602i \(-0.968512\pi\)
0.926978 0.375115i \(-0.122397\pi\)
\(180\) −2.69505 + 1.73201i −0.200877 + 0.129096i
\(181\) 14.4962 + 16.7295i 1.07750 + 1.24350i 0.968383 + 0.249467i \(0.0802554\pi\)
0.109112 + 0.994029i \(0.465199\pi\)
\(182\) −4.19075 + 1.23052i −0.310639 + 0.0912120i
\(183\) 9.03450 0.667850
\(184\) 2.22381 4.24908i 0.163941 0.313246i
\(185\) 4.65742 0.342420
\(186\) 6.46275 1.89763i 0.473872 0.139141i
\(187\) −5.12301 5.91227i −0.374632 0.432348i
\(188\) −9.60165 + 6.17061i −0.700273 + 0.450038i
\(189\) −0.215370 1.49793i −0.0156659 0.108959i
\(190\) −1.49725 0.962223i −0.108622 0.0698070i
\(191\) −0.892788 + 1.95493i −0.0645999 + 0.141454i −0.939178 0.343430i \(-0.888411\pi\)
0.874578 + 0.484884i \(0.161138\pi\)
\(192\) −0.654861 + 0.755750i −0.0472605 + 0.0545415i
\(193\) 1.60048 11.1316i 0.115205 0.801267i −0.847516 0.530770i \(-0.821903\pi\)
0.962721 0.270497i \(-0.0871880\pi\)
\(194\) −3.01062 6.59235i −0.216150 0.473303i
\(195\) 8.87150 + 2.60491i 0.635301 + 0.186541i
\(196\) 4.51903 + 1.32691i 0.322788 + 0.0947791i
\(197\) 4.32551 + 9.47155i 0.308180 + 0.674820i 0.998830 0.0483697i \(-0.0154026\pi\)
−0.690650 + 0.723190i \(0.742675\pi\)
\(198\) 0.930515 6.47188i 0.0661289 0.459936i
\(199\) −9.88825 + 11.4117i −0.700960 + 0.808950i −0.988882 0.148703i \(-0.952490\pi\)
0.287922 + 0.957654i \(0.407036\pi\)
\(200\) 2.18639 4.78753i 0.154601 0.338530i
\(201\) −6.45068 4.14560i −0.454996 0.292408i
\(202\) 0.145699 + 1.01336i 0.0102513 + 0.0712995i
\(203\) −11.0367 + 7.09288i −0.774627 + 0.497822i
\(204\) 0.783524 + 0.904235i 0.0548576 + 0.0633091i
\(205\) −5.68033 + 1.66790i −0.396732 + 0.116491i
\(206\) 4.54925 0.316961
\(207\) −0.426443 4.77683i −0.0296398 0.332013i
\(208\) 2.88612 0.200117
\(209\) 3.48531 1.02338i 0.241084 0.0707887i
\(210\) 3.17486 + 3.66399i 0.219086 + 0.252839i
\(211\) 9.65999 6.20810i 0.665021 0.427383i −0.164107 0.986443i \(-0.552474\pi\)
0.829127 + 0.559060i \(0.188838\pi\)
\(212\) −1.71650 11.9385i −0.117890 0.819943i
\(213\) −7.95495 5.11234i −0.545064 0.350291i
\(214\) −0.250490 + 0.548496i −0.0171231 + 0.0374944i
\(215\) 4.56044 5.26303i 0.311019 0.358936i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −4.23441 9.27207i −0.287451 0.629429i
\(218\) 5.63776 + 1.65539i 0.381837 + 0.112117i
\(219\) 0.602176 + 0.176815i 0.0406913 + 0.0119480i
\(220\) 8.70154 + 19.0537i 0.586658 + 1.28460i
\(221\) 0.491437 3.41802i 0.0330577 0.229921i
\(222\) 0.952036 1.09871i 0.0638965 0.0737405i
\(223\) −6.56619 + 14.3779i −0.439704 + 0.962818i 0.551948 + 0.833879i \(0.313885\pi\)
−0.991652 + 0.128940i \(0.958843\pi\)
\(224\) 1.27310 + 0.818172i 0.0850626 + 0.0546664i
\(225\) −0.749025 5.20958i −0.0499350 0.347305i
\(226\) 10.3538 6.65401i 0.688727 0.442618i
\(227\) 1.69916 + 1.96094i 0.112777 + 0.130152i 0.809331 0.587352i \(-0.199830\pi\)
−0.696554 + 0.717504i \(0.745284\pi\)
\(228\) −0.533050 + 0.156518i −0.0353021 + 0.0103656i
\(229\) 9.99374 0.660405 0.330202 0.943910i \(-0.392883\pi\)
0.330202 + 0.943910i \(0.392883\pi\)
\(230\) 9.42279 + 12.1352i 0.621320 + 0.800173i
\(231\) −9.89485 −0.651033
\(232\) 8.31801 2.44239i 0.546104 0.160351i
\(233\) 17.8743 + 20.6280i 1.17098 + 1.35139i 0.924012 + 0.382363i \(0.124890\pi\)
0.246971 + 0.969023i \(0.420565\pi\)
\(234\) 2.42796 1.56036i 0.158721 0.102004i
\(235\) −5.20367 36.1923i −0.339450 2.36093i
\(236\) 3.33254 + 2.14169i 0.216930 + 0.139412i
\(237\) −5.72115 + 12.5276i −0.371629 + 0.813754i
\(238\) 1.18574 1.36841i 0.0768598 0.0887010i
\(239\) −2.03776 + 14.1729i −0.131812 + 0.916771i 0.811379 + 0.584520i \(0.198717\pi\)
−0.943191 + 0.332251i \(0.892192\pi\)
\(240\) −1.33083 2.91411i −0.0859047 0.188105i
\(241\) −13.6207 3.99940i −0.877387 0.257624i −0.188133 0.982144i \(-0.560244\pi\)
−0.689254 + 0.724520i \(0.742062\pi\)
\(242\) −30.4649 8.94531i −1.95836 0.575026i
\(243\) 0.415415 + 0.909632i 0.0266489 + 0.0583529i
\(244\) −1.28574 + 8.94254i −0.0823113 + 0.572488i
\(245\) −9.88082 + 11.4031i −0.631262 + 0.728515i
\(246\) −0.767668 + 1.68096i −0.0489447 + 0.107174i
\(247\) 1.34886 + 0.866862i 0.0858262 + 0.0551571i
\(248\) 0.958574 + 6.66703i 0.0608695 + 0.423357i
\(249\) −13.1142 + 8.42797i −0.831077 + 0.534101i
\(250\) 0.552075 + 0.637128i 0.0349163 + 0.0402955i
\(251\) −11.4799 + 3.37080i −0.724604 + 0.212763i −0.623178 0.782080i \(-0.714159\pi\)
−0.101426 + 0.994843i \(0.532341\pi\)
\(252\) 1.51334 0.0953313
\(253\) −31.3119 1.68503i −1.96856 0.105937i
\(254\) 8.86983 0.556543
\(255\) −3.67778 + 1.07989i −0.230311 + 0.0676255i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 21.8698 14.0549i 1.36420 0.876720i 0.365663 0.930747i \(-0.380842\pi\)
0.998539 + 0.0540274i \(0.0172058\pi\)
\(258\) −0.309362 2.15166i −0.0192601 0.133957i
\(259\) −1.85083 1.18946i −0.115005 0.0739093i
\(260\) −3.84094 + 8.41048i −0.238205 + 0.521596i
\(261\) 5.67710 6.55173i 0.351404 0.405542i
\(262\) −1.78441 + 12.4108i −0.110241 + 0.766744i
\(263\) 2.38558 + 5.22370i 0.147101 + 0.322107i 0.968812 0.247798i \(-0.0797070\pi\)
−0.821710 + 0.569906i \(0.806980\pi\)
\(264\) 6.27358 + 1.84209i 0.386112 + 0.113373i
\(265\) 37.0746 + 10.8861i 2.27748 + 0.668727i
\(266\) 0.349256 + 0.764765i 0.0214143 + 0.0468907i
\(267\) 0.799587 5.56125i 0.0489339 0.340343i
\(268\) 5.02143 5.79504i 0.306733 0.353988i
\(269\) 3.39779 7.44012i 0.207167 0.453632i −0.777317 0.629110i \(-0.783420\pi\)
0.984483 + 0.175477i \(0.0561469\pi\)
\(270\) −2.69505 1.73201i −0.164016 0.105406i
\(271\) 1.92200 + 13.3678i 0.116753 + 0.812036i 0.961092 + 0.276227i \(0.0890841\pi\)
−0.844339 + 0.535809i \(0.820007\pi\)
\(272\) −1.00654 + 0.646863i −0.0610303 + 0.0392218i
\(273\) −2.86022 3.30087i −0.173108 0.199778i
\(274\) 13.0955 3.84518i 0.791127 0.232296i
\(275\) −34.4128 −2.07517
\(276\) 4.78890 + 0.257712i 0.288258 + 0.0155125i
\(277\) 14.9697 0.899440 0.449720 0.893169i \(-0.351524\pi\)
0.449720 + 0.893169i \(0.351524\pi\)
\(278\) 11.1817 3.28323i 0.670631 0.196915i
\(279\) 4.41087 + 5.09042i 0.264072 + 0.304755i
\(280\) −4.07852 + 2.62111i −0.243738 + 0.156641i
\(281\) −3.83880 26.6994i −0.229003 1.59275i −0.702320 0.711861i \(-0.747853\pi\)
0.473317 0.880892i \(-0.343056\pi\)
\(282\) −9.60165 6.17061i −0.571770 0.367454i
\(283\) 5.69920 12.4795i 0.338783 0.741830i −0.661182 0.750225i \(-0.729945\pi\)
0.999965 + 0.00839502i \(0.00267225\pi\)
\(284\) 6.19241 7.14642i 0.367452 0.424062i
\(285\) 0.253289 1.76167i 0.0150036 0.104352i
\(286\) −7.83918 17.1654i −0.463540 1.01501i
\(287\) 2.68330 + 0.787887i 0.158390 + 0.0465075i
\(288\) −0.959493 0.281733i −0.0565387 0.0166013i
\(289\) −6.46737 14.1616i −0.380433 0.833033i
\(290\) −3.95247 + 27.4900i −0.232097 + 1.61427i
\(291\) 4.74595 5.47712i 0.278213 0.321074i
\(292\) −0.260714 + 0.570883i −0.0152571 + 0.0334084i
\(293\) 7.74373 + 4.97659i 0.452393 + 0.290736i 0.746928 0.664905i \(-0.231528\pi\)
−0.294534 + 0.955641i \(0.595165\pi\)
\(294\) 0.670276 + 4.66187i 0.0390913 + 0.271886i
\(295\) −10.6762 + 6.86116i −0.621591 + 0.399472i
\(296\) 0.952036 + 1.09871i 0.0553360 + 0.0638611i
\(297\) 6.27358 1.84209i 0.364030 0.106889i
\(298\) 17.3034 1.00236
\(299\) −8.48895 10.9326i −0.490928 0.632247i
\(300\) 5.26315 0.303868
\(301\) −3.15642 + 0.926809i −0.181933 + 0.0534204i
\(302\) 3.16461 + 3.65215i 0.182103 + 0.210158i
\(303\) −0.861256 + 0.553496i −0.0494779 + 0.0317975i
\(304\) −0.0790636 0.549899i −0.00453461 0.0315389i
\(305\) −24.3485 15.6478i −1.39419 0.895991i
\(306\) −0.497033 + 1.08835i −0.0284135 + 0.0622169i
\(307\) −1.15044 + 1.32767i −0.0656588 + 0.0757743i −0.787629 0.616150i \(-0.788691\pi\)
0.721970 + 0.691924i \(0.243237\pi\)
\(308\) 1.40818 9.79413i 0.0802387 0.558072i
\(309\) 1.88983 + 4.13814i 0.107508 + 0.235411i
\(310\) −20.7042 6.07929i −1.17592 0.345281i
\(311\) −29.1330 8.55421i −1.65198 0.485065i −0.682632 0.730762i \(-0.739165\pi\)
−0.969347 + 0.245697i \(0.920983\pi\)
\(312\) 1.19894 + 2.62531i 0.0678765 + 0.148629i
\(313\) −1.56820 + 10.9071i −0.0886398 + 0.616503i 0.896280 + 0.443489i \(0.146260\pi\)
−0.984919 + 0.173014i \(0.944649\pi\)
\(314\) 3.30725 3.81677i 0.186639 0.215393i
\(315\) −2.01399 + 4.41003i −0.113476 + 0.248477i
\(316\) −11.5859 7.44578i −0.651756 0.418858i
\(317\) 1.44409 + 10.0439i 0.0811081 + 0.564119i 0.989337 + 0.145645i \(0.0465258\pi\)
−0.908229 + 0.418474i \(0.862565\pi\)
\(318\) 10.1466 6.52084i 0.568994 0.365670i
\(319\) −37.1193 42.8380i −2.07828 2.39847i
\(320\) 3.07385 0.902563i 0.171833 0.0504548i
\(321\) −0.602987 −0.0336554
\(322\) −0.645351 7.22896i −0.0359640 0.402854i
\(323\) −0.664706 −0.0369852
\(324\) −0.959493 + 0.281733i −0.0533052 + 0.0156518i
\(325\) −9.94740 11.4799i −0.551783 0.636791i
\(326\) 3.00111 1.92870i 0.166216 0.106821i
\(327\) 0.836209 + 5.81596i 0.0462424 + 0.321623i
\(328\) −1.55460 0.999080i −0.0858384 0.0551650i
\(329\) −7.17525 + 15.7116i −0.395584 + 0.866209i
\(330\) −13.7171 + 15.8304i −0.755102 + 0.871434i
\(331\) −4.23799 + 29.4759i −0.232941 + 1.62014i 0.452329 + 0.891851i \(0.350593\pi\)
−0.685270 + 0.728289i \(0.740316\pi\)
\(332\) −6.47584 14.1801i −0.355408 0.778235i
\(333\) 1.39491 + 0.409583i 0.0764406 + 0.0224450i
\(334\) −4.37565 1.28481i −0.239425 0.0703015i
\(335\) 10.2047 + 22.3452i 0.557544 + 1.22085i
\(336\) −0.215370 + 1.49793i −0.0117494 + 0.0817190i
\(337\) 12.4809 14.4037i 0.679876 0.784619i −0.306011 0.952028i \(-0.598995\pi\)
0.985888 + 0.167409i \(0.0535400\pi\)
\(338\) −1.94011 + 4.24825i −0.105528 + 0.231074i
\(339\) 10.3538 + 6.65401i 0.562344 + 0.361396i
\(340\) −0.545499 3.79403i −0.0295838 0.205760i
\(341\) 37.0489 23.8099i 2.00631 1.28938i
\(342\) −0.363811 0.419860i −0.0196726 0.0227034i
\(343\) 17.0031 4.99255i 0.918080 0.269572i
\(344\) 2.17379 0.117203
\(345\) −7.12422 + 13.6124i −0.383555 + 0.732868i
\(346\) −15.6132 −0.839371
\(347\) 11.6990 3.43514i 0.628036 0.184408i 0.0478007 0.998857i \(-0.484779\pi\)
0.580235 + 0.814449i \(0.302961\pi\)
\(348\) 5.67710 + 6.55173i 0.304325 + 0.351209i
\(349\) −12.9571 + 8.32704i −0.693579 + 0.445736i −0.839357 0.543581i \(-0.817068\pi\)
0.145778 + 0.989317i \(0.453432\pi\)
\(350\) −1.13353 7.88385i −0.0605896 0.421410i
\(351\) 2.42796 + 1.56036i 0.129595 + 0.0832856i
\(352\) −2.71616 + 5.94756i −0.144772 + 0.317006i
\(353\) −12.1351 + 14.0046i −0.645886 + 0.745392i −0.980404 0.196997i \(-0.936881\pi\)
0.334518 + 0.942389i \(0.391426\pi\)
\(354\) −0.563766 + 3.92108i −0.0299638 + 0.208403i
\(355\) 12.5844 + 27.5560i 0.667912 + 1.46252i
\(356\) 5.39085 + 1.58290i 0.285715 + 0.0838934i
\(357\) 1.73732 + 0.510124i 0.0919489 + 0.0269986i
\(358\) 2.66082 + 5.82639i 0.140629 + 0.307934i
\(359\) 1.67363 11.6404i 0.0883310 0.614356i −0.896785 0.442466i \(-0.854104\pi\)
0.985116 0.171890i \(-0.0549873\pi\)
\(360\) 2.09792 2.42113i 0.110570 0.127605i
\(361\) −7.76467 + 17.0023i −0.408667 + 0.894856i
\(362\) −18.6223 11.9678i −0.978765 0.629014i
\(363\) −4.51865 31.4279i −0.237167 1.64954i
\(364\) 3.67432 2.36134i 0.192587 0.123768i
\(365\) −1.31665 1.51950i −0.0689167 0.0795341i
\(366\) −8.66854 + 2.54531i −0.453112 + 0.133046i
\(367\) −7.81907 −0.408152 −0.204076 0.978955i \(-0.565419\pi\)
−0.204076 + 0.978955i \(0.565419\pi\)
\(368\) −0.936621 + 4.70348i −0.0488247 + 0.245186i
\(369\) −1.84796 −0.0962007
\(370\) −4.46876 + 1.31215i −0.232320 + 0.0682152i
\(371\) −11.9531 13.7946i −0.620572 0.716179i
\(372\) −5.66634 + 3.64153i −0.293786 + 0.188805i
\(373\) −0.304293 2.11640i −0.0157557 0.109583i 0.980426 0.196888i \(-0.0630836\pi\)
−0.996182 + 0.0873051i \(0.972175\pi\)
\(374\) 6.58118 + 4.22946i 0.340304 + 0.218700i
\(375\) −0.350212 + 0.766857i −0.0180849 + 0.0396003i
\(376\) 7.47426 8.62575i 0.385455 0.444839i
\(377\) 3.56076 24.7656i 0.183389 1.27550i
\(378\) 0.628663 + 1.37658i 0.0323349 + 0.0708036i
\(379\) 20.7946 + 6.10585i 1.06815 + 0.313636i 0.768128 0.640297i \(-0.221189\pi\)
0.300019 + 0.953933i \(0.403007\pi\)
\(380\) 1.70769 + 0.501423i 0.0876026 + 0.0257224i
\(381\) 3.68466 + 8.06828i 0.188771 + 0.413351i
\(382\) 0.305856 2.12727i 0.0156489 0.108841i
\(383\) −3.28069 + 3.78612i −0.167635 + 0.193462i −0.833351 0.552744i \(-0.813581\pi\)
0.665716 + 0.746205i \(0.268126\pi\)
\(384\) 0.415415 0.909632i 0.0211991 0.0464195i
\(385\) 26.6671 + 17.1379i 1.35908 + 0.873430i
\(386\) 1.60048 + 11.1316i 0.0814620 + 0.566581i
\(387\) 1.82871 1.17524i 0.0929584 0.0597408i
\(388\) 4.74595 + 5.47712i 0.240939 + 0.278059i
\(389\) 5.77784 1.69653i 0.292948 0.0860174i −0.131956 0.991256i \(-0.542126\pi\)
0.424905 + 0.905238i \(0.360308\pi\)
\(390\) −9.24603 −0.468191
\(391\) 5.41083 + 1.91013i 0.273637 + 0.0965992i
\(392\) −4.70981 −0.237881
\(393\) −12.0306 + 3.53249i −0.606862 + 0.178191i
\(394\) −6.81874 7.86925i −0.343523 0.396447i
\(395\) 37.1166 23.8534i 1.86754 1.20020i
\(396\) 0.930515 + 6.47188i 0.0467602 + 0.325224i
\(397\) 20.1916 + 12.9763i 1.01339 + 0.651263i 0.938267 0.345911i \(-0.112430\pi\)
0.0751183 + 0.997175i \(0.476067\pi\)
\(398\) 6.27267 13.7352i 0.314421 0.688485i
\(399\) −0.550568 + 0.635389i −0.0275629 + 0.0318093i
\(400\) −0.749025 + 5.20958i −0.0374512 + 0.260479i
\(401\) −6.01379 13.1684i −0.300314 0.657596i 0.697972 0.716125i \(-0.254086\pi\)
−0.998286 + 0.0585293i \(0.981359\pi\)
\(402\) 7.35733 + 2.16031i 0.366950 + 0.107746i
\(403\) 18.6523 + 5.47681i 0.929137 + 0.272819i
\(404\) −0.425292 0.931260i −0.0211591 0.0463319i
\(405\) 0.455922 3.17101i 0.0226549 0.157569i
\(406\) 8.59137 9.91497i 0.426383 0.492072i
\(407\) 3.94875 8.64657i 0.195733 0.428594i
\(408\) −1.00654 0.646863i −0.0498310 0.0320245i
\(409\) 4.64566 + 32.3112i 0.229713 + 1.59769i 0.699317 + 0.714811i \(0.253487\pi\)
−0.469604 + 0.882877i \(0.655603\pi\)
\(410\) 4.98034 3.20067i 0.245961 0.158070i
\(411\) 8.93775 + 10.3147i 0.440867 + 0.508788i
\(412\) −4.36497 + 1.28167i −0.215047 + 0.0631434i
\(413\) 5.99493 0.294991
\(414\) 1.75496 + 4.46320i 0.0862515 + 0.219354i
\(415\) 49.9407 2.45149
\(416\) −2.76921 + 0.813115i −0.135772 + 0.0398662i
\(417\) 7.63156 + 8.80729i 0.373719 + 0.431295i
\(418\) −3.05581 + 1.96385i −0.149465 + 0.0960551i
\(419\) 5.15788 + 35.8738i 0.251979 + 1.75255i 0.586302 + 0.810092i \(0.300583\pi\)
−0.334324 + 0.942458i \(0.608508\pi\)
\(420\) −4.07852 2.62111i −0.199012 0.127897i
\(421\) 2.90196 6.35441i 0.141433 0.309695i −0.825639 0.564199i \(-0.809185\pi\)
0.967072 + 0.254504i \(0.0819123\pi\)
\(422\) −7.51967 + 8.67816i −0.366052 + 0.422446i
\(423\) 1.62431 11.2973i 0.0789767 0.549295i
\(424\) 5.01045 + 10.9714i 0.243329 + 0.532816i
\(425\) 6.04214 + 1.77413i 0.293087 + 0.0860581i
\(426\) 9.07303 + 2.66408i 0.439590 + 0.129075i
\(427\) 5.67966 + 12.4367i 0.274858 + 0.601855i
\(428\) 0.0858140 0.596849i 0.00414798 0.0288498i
\(429\) 12.3577 14.2615i 0.596635 0.688553i
\(430\) −2.89294 + 6.33466i −0.139510 + 0.305485i
\(431\) −28.0183 18.0063i −1.34959 0.867331i −0.351955 0.936017i \(-0.614483\pi\)
−0.997638 + 0.0686858i \(0.978119\pi\)
\(432\) −0.142315 0.989821i −0.00684713 0.0476228i
\(433\) −18.1413 + 11.6587i −0.871816 + 0.560282i −0.898308 0.439367i \(-0.855203\pi\)
0.0264914 + 0.999649i \(0.491567\pi\)
\(434\) 6.67514 + 7.70352i 0.320417 + 0.369781i
\(435\) −26.6477 + 7.82448i −1.27766 + 0.375155i
\(436\) −5.87577 −0.281398
\(437\) −1.85046 + 1.91691i −0.0885193 + 0.0916982i
\(438\) −0.627598 −0.0299878
\(439\) −16.5410 + 4.85686i −0.789457 + 0.231805i −0.651516 0.758635i \(-0.725867\pi\)
−0.137941 + 0.990440i \(0.544048\pi\)
\(440\) −13.7171 15.8304i −0.653938 0.754684i
\(441\) −3.96215 + 2.54632i −0.188674 + 0.121253i
\(442\) 0.491437 + 3.41802i 0.0233753 + 0.162579i
\(443\) 15.9136 + 10.2271i 0.756080 + 0.485903i 0.861017 0.508576i \(-0.169828\pi\)
−0.104937 + 0.994479i \(0.533464\pi\)
\(444\) −0.603930 + 1.32242i −0.0286613 + 0.0627594i
\(445\) −11.7870 + 13.6030i −0.558760 + 0.644843i
\(446\) 2.24948 15.6454i 0.106516 0.740833i
\(447\) 7.18810 + 15.7397i 0.339986 + 0.744465i
\(448\) −1.45204 0.426356i −0.0686023 0.0201434i
\(449\) −22.1174 6.49424i −1.04378 0.306482i −0.285480 0.958385i \(-0.592153\pi\)
−0.758303 + 0.651902i \(0.773971\pi\)
\(450\) 2.18639 + 4.78753i 0.103068 + 0.225686i
\(451\) −1.71955 + 11.9597i −0.0809705 + 0.563162i
\(452\) −8.05979 + 9.30149i −0.379101 + 0.437505i
\(453\) −2.00749 + 4.39579i −0.0943200 + 0.206532i
\(454\) −2.18279 1.40280i −0.102444 0.0658365i
\(455\) 1.99132 + 13.8499i 0.0933545 + 0.649295i
\(456\) 0.467362 0.300355i 0.0218862 0.0140654i
\(457\) −9.94760 11.4801i −0.465329 0.537019i 0.473777 0.880645i \(-0.342890\pi\)
−0.939107 + 0.343626i \(0.888345\pi\)
\(458\) −9.58892 + 2.81556i −0.448061 + 0.131563i
\(459\) −1.19647 −0.0558466
\(460\) −12.4600 8.98895i −0.580950 0.419112i
\(461\) 19.2440 0.896281 0.448141 0.893963i \(-0.352086\pi\)
0.448141 + 0.893963i \(0.352086\pi\)
\(462\) 9.49404 2.78770i 0.441703 0.129696i
\(463\) 1.98580 + 2.29173i 0.0922878 + 0.106506i 0.800015 0.599980i \(-0.204825\pi\)
−0.707727 + 0.706486i \(0.750279\pi\)
\(464\) −7.29298 + 4.68691i −0.338568 + 0.217584i
\(465\) −3.07090 21.3586i −0.142410 0.990481i
\(466\) −22.9618 14.7567i −1.06369 0.683590i
\(467\) 1.18398 2.59256i 0.0547882 0.119969i −0.880258 0.474495i \(-0.842631\pi\)
0.935046 + 0.354526i \(0.115358\pi\)
\(468\) −1.89001 + 2.18119i −0.0873657 + 0.100825i
\(469\) 1.65145 11.4861i 0.0762567 0.530377i
\(470\) 15.1894 + 33.2602i 0.700637 + 1.53418i
\(471\) 4.84574 + 1.42284i 0.223280 + 0.0655609i
\(472\) −3.80093 1.11605i −0.174952 0.0513706i
\(473\) −5.90436 12.9287i −0.271483 0.594465i
\(474\) 1.95998 13.6320i 0.0900248 0.626137i
\(475\) −1.91479 + 2.20979i −0.0878566 + 0.101392i
\(476\) −0.752179 + 1.64704i −0.0344761 + 0.0754920i
\(477\) 10.1466 + 6.52084i 0.464582 + 0.298569i
\(478\) −2.03776 14.1729i −0.0932050 0.648255i
\(479\) 31.3457 20.1447i 1.43222 0.920433i 0.432398 0.901683i \(-0.357668\pi\)
0.999824 0.0187506i \(-0.00596884\pi\)
\(480\) 2.09792 + 2.42113i 0.0957566 + 0.110509i
\(481\) 4.02588 1.18211i 0.183564 0.0538994i
\(482\) 14.1957 0.646598
\(483\) 6.30761 3.59005i 0.287006 0.163353i
\(484\) 31.7511 1.44323
\(485\) −22.2770 + 6.54111i −1.01155 + 0.297017i
\(486\) −0.654861 0.755750i −0.0297051 0.0342815i
\(487\) −25.8648 + 16.6223i −1.17204 + 0.753227i −0.973907 0.226947i \(-0.927126\pi\)
−0.198137 + 0.980174i \(0.563489\pi\)
\(488\) −1.28574 8.94254i −0.0582029 0.404810i
\(489\) 3.00111 + 1.92870i 0.135715 + 0.0872188i
\(490\) 6.26796 13.7249i 0.283157 0.620028i
\(491\) −5.11770 + 5.90614i −0.230959 + 0.266540i −0.859386 0.511328i \(-0.829154\pi\)
0.628427 + 0.777869i \(0.283699\pi\)
\(492\) 0.262991 1.82915i 0.0118566 0.0824643i
\(493\) 4.30887 + 9.43510i 0.194062 + 0.424936i
\(494\) −1.53845 0.451729i −0.0692181 0.0203243i
\(495\) −20.0981 5.90134i −0.903344 0.265246i
\(496\) −2.79806 6.12691i −0.125637 0.275106i
\(497\) 2.03656 14.1646i 0.0913520 0.635367i
\(498\) 10.2085 11.7813i 0.457455 0.527931i
\(499\) 5.38364 11.7885i 0.241005 0.527727i −0.750018 0.661417i \(-0.769955\pi\)
0.991023 + 0.133690i \(0.0426827\pi\)
\(500\) −0.709211 0.455783i −0.0317169 0.0203832i
\(501\) −0.649009 4.51396i −0.0289956 0.201669i
\(502\) 10.0652 6.46851i 0.449232 0.288704i
\(503\) −12.8552 14.8357i −0.573184 0.661489i 0.392941 0.919564i \(-0.371458\pi\)
−0.966125 + 0.258074i \(0.916912\pi\)
\(504\) −1.45204 + 0.426356i −0.0646788 + 0.0189914i
\(505\) 3.27979 0.145949
\(506\) 30.5183 7.20480i 1.35670 0.320293i
\(507\) −4.67030 −0.207415
\(508\) −8.51054 + 2.49892i −0.377594 + 0.110872i
\(509\) −4.09448 4.72528i −0.181484 0.209444i 0.657717 0.753265i \(-0.271522\pi\)
−0.839201 + 0.543821i \(0.816977\pi\)
\(510\) 3.22456 2.07230i 0.142786 0.0917629i
\(511\) 0.135166 + 0.940100i 0.00597939 + 0.0415876i
\(512\) 0.841254 + 0.540641i 0.0371785 + 0.0238932i
\(513\) 0.230786 0.505350i 0.0101894 0.0223117i
\(514\) −17.0242 + 19.6470i −0.750907 + 0.866592i
\(515\) 2.07410 14.4257i 0.0913958 0.635672i
\(516\) 0.903025 + 1.97735i 0.0397534 + 0.0870479i
\(517\) −71.6035 21.0247i −3.14912 0.924665i
\(518\) 2.11097 + 0.619837i 0.0927507 + 0.0272341i
\(519\) −6.48596 14.2023i −0.284702 0.623410i
\(520\) 1.31585 9.15192i 0.0577037 0.401338i
\(521\) −15.7103 + 18.1307i −0.688283 + 0.794321i −0.987120 0.159984i \(-0.948856\pi\)
0.298837 + 0.954304i \(0.403401\pi\)
\(522\) −3.60131 + 7.88576i −0.157625 + 0.345150i
\(523\) −6.24846 4.01564i −0.273226 0.175592i 0.396852 0.917883i \(-0.370103\pi\)
−0.670077 + 0.742291i \(0.733739\pi\)
\(524\) −1.78441 12.4108i −0.0779523 0.542170i
\(525\) 6.70052 4.30616i 0.292435 0.187936i
\(526\) −3.76064 4.34001i −0.163972 0.189233i
\(527\) −7.73251 + 2.27047i −0.336833 + 0.0989032i
\(528\) −6.53843 −0.284549
\(529\) 20.5716 10.2864i 0.894416 0.447237i
\(530\) −38.6398 −1.67841
\(531\) −3.80093 + 1.11605i −0.164946 + 0.0484327i
\(532\) −0.550568 0.635389i −0.0238702 0.0275476i
\(533\) −4.48676 + 2.88347i −0.194343 + 0.124897i
\(534\) 0.799587 + 5.56125i 0.0346015 + 0.240659i
\(535\) 1.62508 + 1.04438i 0.0702584 + 0.0451523i
\(536\) −3.18538 + 6.97500i −0.137587 + 0.301274i
\(537\) −4.19452 + 4.84074i −0.181007 + 0.208893i
\(538\) −1.16403 + 8.09601i −0.0501849 + 0.349044i
\(539\) 12.7926 + 28.0119i 0.551017 + 1.20656i
\(540\) 3.07385 + 0.902563i 0.132277 + 0.0388401i
\(541\) −19.6113 5.75840i −0.843157 0.247573i −0.168497 0.985702i \(-0.553891\pi\)
−0.674660 + 0.738129i \(0.735710\pi\)
\(542\) −5.61029 12.2848i −0.240982 0.527678i
\(543\) 3.15033 21.9110i 0.135194 0.940292i
\(544\) 0.783524 0.904235i 0.0335933 0.0387687i
\(545\) 7.81964 17.1226i 0.334957 0.733453i
\(546\) 3.67432 + 2.36134i 0.157247 + 0.101056i
\(547\) 1.32499 + 9.21550i 0.0566524 + 0.394026i 0.998343 + 0.0575459i \(0.0183275\pi\)
−0.941690 + 0.336481i \(0.890763\pi\)
\(548\) −11.4817 + 7.37884i −0.490474 + 0.315209i
\(549\) −5.91634 6.82782i −0.252503 0.291404i
\(550\) 33.0188 9.69519i 1.40793 0.413404i
\(551\) −4.81620 −0.205177
\(552\) −4.66752 + 1.10192i −0.198663 + 0.0469007i
\(553\) −20.8419 −0.886287
\(554\) −14.3633 + 4.21744i −0.610238 + 0.179182i
\(555\) −3.04996 3.51984i −0.129464 0.149409i
\(556\) −9.80372 + 6.30047i −0.415771 + 0.267199i
\(557\) 4.54281 + 31.5960i 0.192485 + 1.33876i 0.825402 + 0.564545i \(0.190948\pi\)
−0.632917 + 0.774219i \(0.718143\pi\)
\(558\) −5.66634 3.64153i −0.239875 0.154158i
\(559\) 2.60624 5.70687i 0.110232 0.241375i
\(560\) 3.17486 3.66399i 0.134162 0.154832i
\(561\) −1.11334 + 7.74343i −0.0470051 + 0.326928i
\(562\) 11.2054 + 24.5364i 0.472671 + 1.03500i
\(563\) 16.1686 + 4.74754i 0.681427 + 0.200085i 0.604085 0.796920i \(-0.293539\pi\)
0.0773416 + 0.997005i \(0.475357\pi\)
\(564\) 10.9512 + 3.21556i 0.461128 + 0.135399i
\(565\) −16.3794 35.8658i −0.689085 1.50889i
\(566\) −1.95246 + 13.5797i −0.0820680 + 0.570796i
\(567\) −0.991025 + 1.14370i −0.0416191 + 0.0480310i
\(568\) −3.92819 + 8.60154i −0.164823 + 0.360913i
\(569\) −1.83549 1.17960i −0.0769478 0.0494513i 0.501601 0.865099i \(-0.332744\pi\)
−0.578549 + 0.815648i \(0.696381\pi\)
\(570\) 0.253289 + 1.76167i 0.0106091 + 0.0737881i
\(571\) −7.55227 + 4.85355i −0.316053 + 0.203115i −0.689043 0.724721i \(-0.741969\pi\)
0.372990 + 0.927835i \(0.378332\pi\)
\(572\) 12.3577 + 14.2615i 0.516701 + 0.596305i
\(573\) 2.06209 0.605485i 0.0861451 0.0252945i
\(574\) −2.79658 −0.116727
\(575\) 21.9369 12.4856i 0.914831 0.520687i
\(576\) 1.00000 0.0416667
\(577\) 39.5160 11.6029i 1.64507 0.483037i 0.677477 0.735544i \(-0.263073\pi\)
0.967595 + 0.252508i \(0.0812553\pi\)
\(578\) 10.1952 + 11.7658i 0.424063 + 0.489395i
\(579\) −9.46075 + 6.08006i −0.393175 + 0.252679i
\(580\) −3.95247 27.4900i −0.164117 1.14146i
\(581\) −19.8462 12.7544i −0.823358 0.529140i
\(582\) −3.01062 + 6.59235i −0.124794 + 0.273262i
\(583\) 51.6437 59.6000i 2.13886 2.46838i
\(584\) 0.0893165 0.621210i 0.00369594 0.0257059i
\(585\) −3.84094 8.41048i −0.158803 0.347731i
\(586\) −8.83212 2.59334i −0.364851 0.107130i
\(587\) −9.22184 2.70778i −0.380626 0.111762i 0.0858220 0.996310i \(-0.472648\pi\)
−0.466448 + 0.884549i \(0.654467\pi\)
\(588\) −1.95653 4.28419i −0.0806858 0.176677i
\(589\) 0.532540 3.70390i 0.0219429 0.152616i
\(590\) 8.31070 9.59106i 0.342146 0.394858i
\(591\) 4.32551 9.47155i 0.177928 0.389607i
\(592\) −1.22301 0.785983i −0.0502656 0.0323037i
\(593\) 5.18844 + 36.0864i 0.213064 + 1.48189i 0.762845 + 0.646581i \(0.223802\pi\)
−0.549781 + 0.835309i \(0.685289\pi\)
\(594\) −5.50048 + 3.53494i −0.225687 + 0.145040i
\(595\) −3.79864 4.38386i −0.155729 0.179721i
\(596\) −16.6025 + 4.87494i −0.680066 + 0.199685i
\(597\) 15.0998 0.617993
\(598\) 11.2251 + 8.09811i 0.459030 + 0.331156i
\(599\) −6.93439 −0.283331 −0.141666 0.989915i \(-0.545246\pi\)
−0.141666 + 0.989915i \(0.545246\pi\)
\(600\) −5.04996 + 1.48280i −0.206164 + 0.0605351i
\(601\) −10.9824 12.6744i −0.447983 0.517000i 0.486174 0.873862i \(-0.338392\pi\)
−0.934157 + 0.356862i \(0.883847\pi\)
\(602\) 2.76745 1.77853i 0.112793 0.0724876i
\(603\) 1.09126 + 7.58989i 0.0444396 + 0.309084i
\(604\) −4.06535 2.61264i −0.165417 0.106307i
\(605\) −42.2553 + 92.5261i −1.71792 + 3.76172i
\(606\) 0.670431 0.773719i 0.0272344 0.0314302i
\(607\) 1.54717 10.7608i 0.0627977 0.436768i −0.934031 0.357192i \(-0.883734\pi\)
0.996829 0.0795759i \(-0.0253566\pi\)
\(608\) 0.230786 + 0.505350i 0.00935959 + 0.0204946i
\(609\) 12.5880 + 3.69616i 0.510090 + 0.149776i
\(610\) 27.7707 + 8.15420i 1.12440 + 0.330154i
\(611\) −13.6841 29.9640i −0.553599 1.21221i
\(612\) 0.170276 1.18430i 0.00688300 0.0478723i
\(613\) −13.5856 + 15.6786i −0.548717 + 0.633253i −0.960584 0.277991i \(-0.910331\pi\)
0.411867 + 0.911244i \(0.364877\pi\)
\(614\) 0.729786 1.59801i 0.0294518 0.0644903i
\(615\) 4.98034 + 3.20067i 0.200827 + 0.129063i
\(616\) 1.40818 + 9.79413i 0.0567373 + 0.394617i
\(617\) 2.60245 1.67249i 0.104771 0.0673321i −0.487206 0.873287i \(-0.661984\pi\)
0.591977 + 0.805955i \(0.298348\pi\)
\(618\) −2.97912 3.43809i −0.119838 0.138300i
\(619\) 12.4859 3.66620i 0.501851 0.147357i −0.0210022 0.999779i \(-0.506686\pi\)
0.522853 + 0.852423i \(0.324868\pi\)
\(620\) 21.5782 0.866603
\(621\) −3.33083 + 3.45045i −0.133662 + 0.138462i
\(622\) 30.3629 1.21744
\(623\) 8.15818 2.39546i 0.326850 0.0959720i
\(624\) −1.89001 2.18119i −0.0756609 0.0873173i
\(625\) −19.8662 + 12.7672i −0.794648 + 0.510689i
\(626\) −1.56820 10.9071i −0.0626778 0.435934i
\(627\) −3.05581 1.96385i −0.122037 0.0784287i
\(628\) −2.09798 + 4.59393i −0.0837183 + 0.183318i
\(629\) −1.13909 + 1.31458i −0.0454184 + 0.0524156i
\(630\) 0.689964 4.79880i 0.0274888 0.191189i
\(631\) 4.08060 + 8.93527i 0.162446 + 0.355707i 0.973298 0.229544i \(-0.0737233\pi\)
−0.810852 + 0.585251i \(0.800996\pi\)
\(632\) 13.2143 + 3.88006i 0.525635 + 0.154340i
\(633\) −11.0177 3.23509i −0.437915 0.128583i
\(634\) −4.21527 9.23016i −0.167410 0.366577i
\(635\) 4.04395 28.1263i 0.160479 1.11616i
\(636\) −7.89848 + 9.11533i −0.313195 + 0.361446i
\(637\) −5.64677 + 12.3647i −0.223733 + 0.489908i
\(638\) 47.6846 + 30.6450i 1.88785 + 1.21325i
\(639\) 1.34574 + 9.35982i 0.0532366 + 0.370269i
\(640\) −2.69505 + 1.73201i −0.106531 + 0.0684635i
\(641\) −8.92969 10.3054i −0.352702 0.407039i 0.551480 0.834188i \(-0.314063\pi\)
−0.904181 + 0.427149i \(0.859518\pi\)
\(642\) 0.578562 0.169881i 0.0228340 0.00670467i
\(643\) 3.57857 0.141125 0.0705626 0.997507i \(-0.477521\pi\)
0.0705626 + 0.997507i \(0.477521\pi\)
\(644\) 2.65584 + 6.75432i 0.104655 + 0.266158i
\(645\) −6.96398 −0.274207
\(646\) 0.637781 0.187269i 0.0250931 0.00736801i
\(647\) 17.1896 + 19.8379i 0.675793 + 0.779906i 0.985271 0.171000i \(-0.0546999\pi\)
−0.309478 + 0.950907i \(0.600154\pi\)
\(648\) 0.841254 0.540641i 0.0330476 0.0212384i
\(649\) 3.68614 + 25.6377i 0.144694 + 1.00637i
\(650\) 12.7787 + 8.21239i 0.501223 + 0.322116i
\(651\) −4.23441 + 9.27207i −0.165960 + 0.363401i
\(652\) −2.33617 + 2.69608i −0.0914915 + 0.105587i
\(653\) −3.66305 + 25.4771i −0.143346 + 0.996994i 0.783457 + 0.621446i \(0.213455\pi\)
−0.926803 + 0.375548i \(0.877454\pi\)
\(654\) −2.44088 5.34478i −0.0954460 0.208998i
\(655\) 38.5413 + 11.3167i 1.50593 + 0.442182i
\(656\) 1.77310 + 0.520629i 0.0692279 + 0.0203272i
\(657\) −0.260714 0.570883i −0.0101714 0.0222723i
\(658\) 2.45813 17.0967i 0.0958279 0.666498i
\(659\) 6.67928 7.70831i 0.260188 0.300273i −0.610592 0.791945i \(-0.709069\pi\)
0.870780 + 0.491672i \(0.163614\pi\)
\(660\) 8.70154 19.0537i 0.338707 0.741665i
\(661\) −25.1993 16.1946i −0.980140 0.629897i −0.0506386 0.998717i \(-0.516126\pi\)
−0.929501 + 0.368820i \(0.879762\pi\)
\(662\) −4.23799 29.4759i −0.164714 1.14561i
\(663\) −2.90499 + 1.86692i −0.112821 + 0.0725053i
\(664\) 10.2085 + 11.7813i 0.396168 + 0.457202i
\(665\) 2.58431 0.758821i 0.100215 0.0294258i
\(666\) −1.45380 −0.0563336
\(667\) 39.2047 + 13.8400i 1.51801 + 0.535888i
\(668\) 4.56038 0.176446
\(669\) 15.1661 4.45316i 0.586354 0.172169i
\(670\) −16.0867 18.5651i −0.621485 0.717232i
\(671\) −49.6941 + 31.9364i −1.91842 + 1.23289i
\(672\) −0.215370 1.49793i −0.00830809 0.0577840i
\(673\) −1.70536 1.09597i −0.0657367 0.0422464i 0.507360 0.861734i \(-0.330622\pi\)
−0.573096 + 0.819488i \(0.694258\pi\)
\(674\) −7.91732 + 17.3365i −0.304964 + 0.667777i
\(675\) −3.44663 + 3.97763i −0.132661 + 0.153099i
\(676\) 0.664652 4.62276i 0.0255636 0.177798i
\(677\) 1.02323 + 2.24056i 0.0393259 + 0.0861116i 0.928275 0.371894i \(-0.121291\pi\)
−0.888950 + 0.458005i \(0.848564\pi\)
\(678\) −11.8091 3.46746i −0.453525 0.133167i
\(679\) 10.5233 + 3.08992i 0.403847 + 0.118580i
\(680\) 1.59230 + 3.48666i 0.0610620 + 0.133707i
\(681\) 0.369263 2.56828i 0.0141502 0.0984168i
\(682\) −28.8402 + 33.2833i −1.10435 + 1.27448i
\(683\) −12.5872 + 27.5621i −0.481635 + 1.05463i 0.500376 + 0.865808i \(0.333195\pi\)
−0.982011 + 0.188825i \(0.939532\pi\)
\(684\) 0.467362 + 0.300355i 0.0178700 + 0.0114844i
\(685\) −6.22257 43.2790i −0.237752 1.65360i
\(686\) −14.9078 + 9.58064i −0.569181 + 0.365790i
\(687\) −6.54451 7.55276i −0.249689 0.288156i
\(688\) −2.08574 + 0.612427i −0.0795179 + 0.0233486i
\(689\) 34.8104 1.32617
\(690\) 3.00057 15.0681i 0.114230 0.573635i
\(691\) −1.71993 −0.0654294 −0.0327147 0.999465i \(-0.510415\pi\)
−0.0327147 + 0.999465i \(0.510415\pi\)
\(692\) 14.9808 4.39875i 0.569483 0.167215i
\(693\) 6.47975 + 7.47803i 0.246145 + 0.284067i
\(694\) −10.2573 + 6.59199i −0.389363 + 0.250228i
\(695\) −5.31318 36.9540i −0.201541 1.40175i
\(696\) −7.29298 4.68691i −0.276440 0.177657i
\(697\) 0.918495 2.01122i 0.0347905 0.0761805i
\(698\) 10.0863 11.6402i 0.381771 0.440587i
\(699\) 3.88445 27.0170i 0.146923 1.02188i
\(700\) 3.30875 + 7.24515i 0.125059 + 0.273841i
\(701\) 0.709124 + 0.208218i 0.0267833 + 0.00786427i 0.295097 0.955467i \(-0.404648\pi\)
−0.268313 + 0.963332i \(0.586466\pi\)
\(702\) −2.76921 0.813115i −0.104517 0.0306890i
\(703\) −0.335516 0.734677i −0.0126542 0.0277089i
\(704\) 0.930515 6.47188i 0.0350701 0.243918i
\(705\) −23.9447 + 27.6336i −0.901808 + 1.04074i
\(706\) 7.69797 16.8562i 0.289717 0.634392i
\(707\) −1.30337 0.837626i −0.0490183 0.0315022i
\(708\) −0.563766 3.92108i −0.0211876 0.147363i
\(709\) 18.9971 12.2087i 0.713451 0.458507i −0.132902 0.991129i \(-0.542430\pi\)
0.846353 + 0.532622i \(0.178793\pi\)
\(710\) −19.8381 22.8944i −0.744510 0.859211i
\(711\) 13.2143 3.88006i 0.495574 0.145514i
\(712\) −5.61844 −0.210560
\(713\) −14.9786 + 28.6201i −0.560954 + 1.07183i
\(714\) −1.81067 −0.0677626
\(715\) −58.0057 + 17.0320i −2.16929 + 0.636961i
\(716\) −4.19452 4.84074i −0.156757 0.180907i
\(717\) 12.0456 7.74126i 0.449853 0.289103i
\(718\) 1.67363 + 11.6404i 0.0624595 + 0.434415i
\(719\) 9.21249 + 5.92051i 0.343568 + 0.220798i 0.701033 0.713129i \(-0.252723\pi\)
−0.357465 + 0.933926i \(0.616359\pi\)
\(720\) −1.33083 + 2.91411i −0.0495971 + 0.108603i
\(721\) −4.50842 + 5.20299i −0.167902 + 0.193769i
\(722\) 2.66006 18.5011i 0.0989971 0.688540i
\(723\) 5.89712 + 12.9129i 0.219316 + 0.480236i
\(724\) 21.2397 + 6.23653i 0.789366 + 0.231779i
\(725\) 43.7790 + 12.8547i 1.62591 + 0.477410i
\(726\) 13.1899 + 28.8818i 0.489522 + 1.07190i
\(727\) −5.30540 + 36.8999i −0.196766 + 1.36854i 0.616824 + 0.787101i \(0.288419\pi\)
−0.813590 + 0.581439i \(0.802490\pi\)
\(728\) −2.86022 + 3.30087i −0.106007 + 0.122338i
\(729\) 0.415415 0.909632i 0.0153857 0.0336901i
\(730\) 1.69141 + 1.08700i 0.0626019 + 0.0402318i
\(731\) 0.370144 + 2.57441i 0.0136903 + 0.0952179i
\(732\) 7.60031 4.88442i 0.280915 0.180533i
\(733\) −21.0216 24.2602i −0.776449 0.896070i 0.220399 0.975410i \(-0.429264\pi\)
−0.996848 + 0.0793401i \(0.974719\pi\)
\(734\) 7.50235 2.20289i 0.276917 0.0813101i
\(735\) 15.0884 0.556545
\(736\) −0.426443 4.77683i −0.0157189 0.176076i
\(737\) 50.1363 1.84679
\(738\) 1.77310 0.520629i 0.0652687 0.0191646i
\(739\) −24.5623 28.3464i −0.903537 1.04274i −0.998881 0.0472931i \(-0.984941\pi\)
0.0953439 0.995444i \(-0.469605\pi\)
\(740\) 3.91807 2.51799i 0.144031 0.0925631i
\(741\) −0.228187 1.58708i −0.00838267 0.0583027i
\(742\) 15.3553 + 9.86823i 0.563709 + 0.362274i
\(743\) 13.2431 28.9983i 0.485841 1.06384i −0.494975 0.868907i \(-0.664823\pi\)
0.980816 0.194936i \(-0.0624501\pi\)
\(744\) 4.41087 5.09042i 0.161710 0.186624i
\(745\) 7.88901 54.8693i 0.289031 2.01026i
\(746\) 0.888226 + 1.94494i 0.0325203 + 0.0712094i
\(747\) 14.9574 + 4.39189i 0.547262 + 0.160691i
\(748\) −7.50617 2.20401i −0.274453 0.0805866i
\(749\) −0.379076 0.830060i −0.0138511 0.0303297i
\(750\) 0.119977 0.834460i 0.00438095 0.0304702i
\(751\) 11.7544 13.5652i 0.428923 0.495003i −0.499612 0.866249i \(-0.666524\pi\)
0.928534 + 0.371246i \(0.121069\pi\)
\(752\) −4.74134 + 10.3821i −0.172899 + 0.378596i
\(753\) 10.0652 + 6.46851i 0.366796 + 0.235726i
\(754\) 3.56076 + 24.7656i 0.129675 + 0.901911i
\(755\) 13.0238 8.36990i 0.473985 0.304612i
\(756\) −0.991025 1.14370i −0.0360432 0.0415961i
\(757\) 10.5177 3.08827i 0.382271 0.112245i −0.0849504 0.996385i \(-0.527073\pi\)
0.467222 + 0.884140i \(0.345255\pi\)
\(758\) −21.6725 −0.787180
\(759\) 19.2315 + 24.7674i 0.698058 + 0.899000i
\(760\) −1.77978 −0.0645595
\(761\) 0.351035 0.103073i 0.0127250 0.00373640i −0.275364 0.961340i \(-0.588798\pi\)
0.288089 + 0.957604i \(0.406980\pi\)
\(762\) −5.80850 6.70337i −0.210420 0.242838i
\(763\) −7.48044 + 4.80739i −0.270810 + 0.174039i
\(764\) 0.305856 + 2.12727i 0.0110655 + 0.0769620i
\(765\) 3.22456 + 2.07230i 0.116584 + 0.0749241i
\(766\) 2.08113 4.55703i 0.0751942 0.164652i
\(767\) −7.48708 + 8.64055i −0.270343 + 0.311992i
\(768\) −0.142315 + 0.989821i −0.00513534 + 0.0357171i
\(769\) 0.127106 + 0.278324i 0.00458358 + 0.0100366i 0.911910 0.410390i \(-0.134608\pi\)
−0.907326 + 0.420427i \(0.861880\pi\)
\(770\) −30.4152