Properties

Label 138.2.e.a.133.1
Level $138$
Weight $2$
Character 138.133
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 133.1
Root \(0.959493 + 0.281733i\) of defining polynomial
Character \(\chi\) \(=\) 138.133
Dual form 138.2.e.a.55.1

$q$-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 \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(1\) \(e\left(\frac{6}{11}\right)\)

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:
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\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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 −0.588692 0.808358i \(-0.700357\pi\)
0.792586 0.609760i \(-0.208734\pi\)
\(6\) 0.841254 0.540641i 0.343440 0.220716i
\(7\) 0.628663 + 1.37658i 0.237612 + 0.520298i 0.990444 0.137915i \(-0.0440399\pi\)
−0.752832 + 0.658213i \(0.771313\pi\)
\(8\) −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 0.898311 0.439360i \(-0.144795\pi\)
0.993243 0.116051i \(-0.0370236\pi\)
\(12\) −0.959493 + 0.281733i −0.276982 + 0.0813292i
\(13\) 1.19894 2.62531i 0.332526 0.728130i −0.667336 0.744757i \(-0.732565\pi\)
0.999862 + 0.0166269i \(0.00529276\pi\)
\(14\) −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 −0.656980 0.753908i \(-0.728167\pi\)
0.412859 + 0.910795i \(0.364530\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) 0.467362 + 0.300355i 0.107220 + 0.0689062i 0.593152 0.805090i \(-0.297883\pi\)
−0.485932 + 0.873997i \(0.661520\pi\)
\(20\) 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 −0.997948 0.0640253i \(-0.979606\pi\)
−0.356323 + 0.934363i \(0.615970\pi\)
\(30\) −1.33083 2.91411i −0.242975 0.532041i
\(31\) 4.41087 + 5.09042i 0.792216 + 0.914266i 0.997928 0.0643467i \(-0.0204963\pi\)
−0.205712 + 0.978613i \(0.565951\pi\)
\(32\) −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 0.999735 0.0230098i \(-0.00732488\pi\)
−0.965722 + 0.259580i \(0.916416\pi\)
\(38\) −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 −0.958926 0.283658i \(-0.908452\pi\)
0.999998 0.00200695i \(-0.000638831\pi\)
\(42\) 1.27310 + 0.818172i 0.196444 + 0.126247i
\(43\) −1.42353 + 1.64284i −0.217086 + 0.250531i −0.853839 0.520537i \(-0.825732\pi\)
0.636753 + 0.771068i \(0.280277\pi\)
\(44\) 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 0.853672 + 0.520811i \(0.174370\pi\)
−0.165434 + 0.986221i \(0.552902\pi\)
\(54\) −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 −0.771748 0.635928i \(-0.780617\pi\)
0.985990 + 0.166804i \(0.0533446\pi\)
\(60\) 0.455922 + 3.17101i 0.0588593 + 0.409375i
\(61\) −5.91634 6.82782i −0.757510 0.874213i 0.237764 0.971323i \(-0.423586\pi\)
−0.995274 + 0.0971102i \(0.969040\pi\)
\(62\) −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 0.698337 0.715769i \(-0.253924\pi\)
0.200504 + 0.979693i \(0.435742\pi\)
\(68\) −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 0.771586 0.636125i \(-0.219464\pi\)
0.305184 + 0.952293i \(0.401282\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) −0.527969 0.339305i −0.0617941 0.0397127i 0.509379 0.860542i \(-0.329875\pi\)
−0.571173 + 0.820830i \(0.693512\pi\)
\(74\) 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 0.253298 + 0.967388i \(0.418485\pi\)
−0.896978 + 0.442074i \(0.854243\pi\)
\(80\) 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 0.634209 + 0.773161i \(0.281326\pi\)
−0.390695 + 0.920520i \(0.627765\pi\)
\(84\) −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 −0.526463 0.850198i \(-0.676482\pi\)
0.916468 + 0.400109i \(0.131028\pi\)
\(90\) 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 −0.868030 0.496512i \(-0.834614\pi\)
0.972752 0.231847i \(-0.0744769\pi\)
\(98\) −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 0.995785 0.0917137i \(-0.0292345\pi\)
−0.981288 + 0.192546i \(0.938325\pi\)
\(102\) −0.497033 + 1.08835i −0.0492136 + 0.107763i
\(103\) −4.36497 + 1.28167i −0.430093 + 0.126287i −0.489612 0.871940i \(-0.662862\pi\)
0.0595187 + 0.998227i \(0.481043\pi\)
\(104\) −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 0.774515 0.632555i \(-0.217994\pi\)
−0.736342 + 0.676610i \(0.763448\pi\)
\(108\) 0.415415 + 0.909632i 0.0399733 + 0.0875294i
\(109\) −4.94301 + 3.17668i −0.473454 + 0.304271i −0.755521 0.655124i \(-0.772616\pi\)
0.282067 + 0.959395i \(0.408980\pi\)
\(110\) −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 −0.325729 0.945463i \(-0.605610\pi\)
−0.785177 + 0.619272i \(0.787428\pi\)
\(114\) 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 −0.636594 0.771199i \(-0.719657\pi\)
−0.118595 + 0.992943i \(0.537839\pi\)
\(128\) 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 0.988581 + 0.150692i \(0.0481501\pi\)
−0.533498 + 0.845802i \(0.679123\pi\)
\(132\) −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 −0.878809 0.477173i \(-0.841661\pi\)
−0.481322 + 0.876544i \(0.659843\pi\)
\(150\) −5.04996 + 1.48280i −0.412327 + 0.121070i
\(151\) −2.00749 + 4.39579i −0.163367 + 0.357724i −0.973557 0.228443i \(-0.926637\pi\)
0.810190 + 0.586167i \(0.199364\pi\)
\(152\) −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 0.360011 0.932948i \(-0.382773\pi\)
−0.699086 + 0.715038i \(0.746409\pi\)
\(158\) 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 0.144917 0.989444i \(-0.453708\pi\)
−0.413021 + 0.910721i \(0.635527\pi\)
\(164\) 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 −0.383722 0.923449i \(-0.625358\pi\)
0.680594 + 0.732660i \(0.261722\pi\)
\(168\) 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 0.342740 0.939430i \(-0.388645\pi\)
0.796226 + 0.605000i \(0.206827\pi\)
\(174\) −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 0.926978 + 0.375115i \(0.122397\pi\)
−0.995111 + 0.0987602i \(0.968512\pi\)
\(180\) −2.69505 1.73201i −0.200877 0.129096i
\(181\) 14.4962 16.7295i 1.07750 1.24350i 0.109112 0.994029i \(-0.465199\pi\)
0.968383 0.249467i \(-0.0802554\pi\)
\(182\) −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 0.874578 0.484884i \(-0.161138\pi\)
−0.939178 + 0.343430i \(0.888411\pi\)
\(192\) −0.654861 0.755750i −0.0472605 0.0545415i
\(193\) 1.60048 + 11.1316i 0.115205 + 0.801267i 0.962721 + 0.270497i \(0.0871880\pi\)
−0.847516 + 0.530770i \(0.821903\pi\)
\(194\) −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 −0.690650 0.723190i \(-0.742675\pi\)
0.998830 + 0.0483697i \(0.0154026\pi\)
\(198\) 0.930515 + 6.47188i 0.0661289 + 0.459936i
\(199\) −9.88825 11.4117i −0.700960 0.808950i 0.287922 0.957654i \(-0.407036\pi\)
−0.988882 + 0.148703i \(0.952490\pi\)
\(200\) 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 0.829127 0.559060i \(-0.188838\pi\)
−0.164107 + 0.986443i \(0.552474\pi\)
\(212\) −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 −0.991652 0.128940i \(-0.958843\pi\)
0.551948 0.833879i \(-0.313885\pi\)
\(224\) 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 −0.696554 0.717504i \(-0.745284\pi\)
0.809331 + 0.587352i \(0.199830\pi\)
\(228\) −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 0.246971 0.969023i \(-0.420565\pi\)
0.924012 0.382363i \(-0.124890\pi\)
\(234\) 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 −0.943191 0.332251i \(-0.892192\pi\)
0.811379 0.584520i \(-0.198717\pi\)
\(240\) −1.33083 + 2.91411i −0.0859047 + 0.188105i
\(241\) −13.6207 + 3.99940i −0.877387 + 0.257624i −0.689254 0.724520i \(-0.742062\pi\)
−0.188133 + 0.982144i \(0.560244\pi\)
\(242\) −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 −0.101426 0.994843i \(-0.532341\pi\)
−0.623178 + 0.782080i \(0.714159\pi\)
\(252\) 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 0.998539 0.0540274i \(-0.0172058\pi\)
0.365663 + 0.930747i \(0.380842\pi\)
\(258\) −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 −0.821710 0.569906i \(-0.806980\pi\)
0.968812 + 0.247798i \(0.0797070\pi\)
\(264\) 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 0.984483 0.175477i \(-0.0561469\pi\)
−0.777317 + 0.629110i \(0.783420\pi\)
\(270\) −2.69505 + 1.73201i −0.164016 + 0.105406i
\(271\) 1.92200 13.3678i 0.116753 0.812036i −0.844339 0.535809i \(-0.820007\pi\)
0.961092 0.276227i \(-0.0890841\pi\)
\(272\) −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 0.473317 + 0.880892i \(0.343056\pi\)
−0.702320 + 0.711861i \(0.747853\pi\)
\(282\) −9.60165 + 6.17061i −0.571770 + 0.367454i
\(283\) 5.69920 + 12.4795i 0.338783 + 0.741830i 0.999965 0.00839502i \(-0.00267225\pi\)
−0.661182 + 0.750225i \(0.729945\pi\)
\(284\) 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 −0.294534 0.955641i \(-0.595165\pi\)
0.746928 + 0.664905i \(0.231528\pi\)
\(294\) 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 0.721970 0.691924i \(-0.243237\pi\)
−0.787629 + 0.616150i \(0.788691\pi\)
\(308\) 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 −0.969347 0.245697i \(-0.920983\pi\)
−0.682632 + 0.730762i \(0.739165\pi\)
\(312\) 1.19894 2.62531i 0.0678765 0.148629i
\(313\) −1.56820 10.9071i −0.0886398 0.616503i −0.984919 0.173014i \(-0.944649\pi\)
0.896280 0.443489i \(-0.146260\pi\)
\(314\) 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 −0.908229 0.418474i \(-0.862565\pi\)
0.989337 0.145645i \(-0.0465258\pi\)
\(318\) 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 −0.685270 0.728289i \(-0.740316\pi\)
0.452329 0.891851i \(-0.350593\pi\)
\(332\) −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 0.985888 0.167409i \(-0.0535400\pi\)
−0.306011 + 0.952028i \(0.598995\pi\)
\(338\) −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 0.580235 0.814449i \(-0.302961\pi\)
0.0478007 + 0.998857i \(0.484779\pi\)
\(348\) 5.67710 6.55173i 0.304325 0.351209i
\(349\) −12.9571 8.32704i −0.693579 0.445736i 0.145778 0.989317i \(-0.453432\pi\)
−0.839357 + 0.543581i \(0.817068\pi\)
\(350\) −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 0.334518 0.942389i \(-0.391426\pi\)
−0.980404 + 0.196997i \(0.936881\pi\)
\(354\) −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 0.985116 + 0.171890i \(0.0549873\pi\)
−0.896785 + 0.442466i \(0.854104\pi\)
\(360\) 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 −0.996182 0.0873051i \(-0.972175\pi\)
0.980426 + 0.196888i \(0.0630836\pi\)
\(374\) 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 0.300019 0.953933i \(-0.403007\pi\)
0.768128 + 0.640297i \(0.221189\pi\)
\(380\) 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 0.665716 0.746205i \(-0.268126\pi\)
−0.833351 + 0.552744i \(0.813581\pi\)
\(384\) 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 0.424905 0.905238i \(-0.360308\pi\)
−0.131956 + 0.991256i \(0.542126\pi\)
\(390\) −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 0.0751183 0.997175i \(-0.476067\pi\)
0.938267 + 0.345911i \(0.112430\pi\)
\(398\) 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 −0.998286 0.0585293i \(-0.981359\pi\)
0.697972 + 0.716125i \(0.254086\pi\)
\(402\) 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 −0.469604 0.882877i \(-0.655603\pi\)
0.699317 0.714811i \(-0.253487\pi\)
\(410\) 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 −0.334324 0.942458i \(-0.608508\pi\)
0.586302 0.810092i \(-0.300583\pi\)
\(420\) −4.07852 + 2.62111i −0.199012 + 0.127897i
\(421\) 2.90196 + 6.35441i 0.141433 + 0.309695i 0.967072 0.254504i \(-0.0819123\pi\)
−0.825639 + 0.564199i \(0.809185\pi\)
\(422\) −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 −0.997638 0.0686858i \(-0.978119\pi\)
−0.351955 + 0.936017i \(0.614483\pi\)
\(432\) −0.142315 + 0.989821i −0.00684713 + 0.0476228i
\(433\) −18.1413 11.6587i −0.871816 0.560282i 0.0264914 0.999649i \(-0.491567\pi\)
−0.898308 + 0.439367i \(0.855203\pi\)
\(434\) 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 −0.137941 0.990440i \(-0.544048\pi\)
−0.651516 + 0.758635i \(0.725867\pi\)
\(440\) −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 −0.104937 0.994479i \(-0.533464\pi\)
0.861017 + 0.508576i \(0.169828\pi\)
\(444\) −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 −0.758303 0.651902i \(-0.773971\pi\)
−0.285480 + 0.958385i \(0.592153\pi\)
\(450\) 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 −0.939107 0.343626i \(-0.888345\pi\)
0.473777 + 0.880645i \(0.342890\pi\)
\(458\) −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 −0.707727 0.706486i \(-0.750279\pi\)
0.800015 + 0.599980i \(0.204825\pi\)
\(464\) −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 0.935046 0.354526i \(-0.115358\pi\)
−0.880258 + 0.474495i \(0.842631\pi\)
\(468\) −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 0.999824 + 0.0187506i \(0.00596884\pi\)
0.432398 + 0.901683i \(0.357668\pi\)
\(480\) 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 −0.198137 0.980174i \(-0.563489\pi\)
−0.973907 + 0.226947i \(0.927126\pi\)
\(488\) −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 0.628427 0.777869i \(-0.283699\pi\)
−0.859386 + 0.511328i \(0.829154\pi\)
\(492\) 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 0.991023 0.133690i \(-0.0426827\pi\)
−0.750018 + 0.661417i \(0.769955\pi\)
\(500\) −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 −0.966125 0.258074i \(-0.916912\pi\)
0.392941 + 0.919564i \(0.371458\pi\)
\(504\) −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 −0.839201 0.543821i \(-0.816977\pi\)
0.657717 + 0.753265i \(0.271522\pi\)
\(510\) 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 0.298837 0.954304i \(-0.403401\pi\)
−0.987120 + 0.159984i \(0.948856\pi\)
\(522\) −3.60131 7.88576i −0.157625 0.345150i
\(523\) −6.24846 + 4.01564i −0.273226 + 0.175592i −0.670077 0.742291i \(-0.733739\pi\)
0.396852 + 0.917883i \(0.370103\pi\)
\(524\) −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 −0.674660 0.738129i \(-0.735710\pi\)
−0.168497 + 0.985702i \(0.553891\pi\)
\(542\) −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 −0.941690 0.336481i \(-0.890763\pi\)
0.998343 0.0575459i \(-0.0183275\pi\)
\(548\) −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 −0.632917 0.774219i \(-0.718143\pi\)
0.825402 0.564545i \(-0.190948\pi\)
\(558\) −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 0.0773416 0.997005i \(-0.475357\pi\)
0.604085 + 0.796920i \(0.293539\pi\)
\(564\) 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 −0.578549 0.815648i \(-0.696381\pi\)
0.501601 + 0.865099i \(0.332744\pi\)
\(570\) 0.253289 1.76167i 0.0106091 0.0737881i
\(571\) −7.55227 4.85355i −0.316053 0.203115i 0.372990 0.927835i \(-0.378332\pi\)
−0.689043 + 0.724721i \(0.741969\pi\)
\(572\) 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 0.967595 0.252508i \(-0.0812553\pi\)
0.677477 + 0.735544i \(0.263073\pi\)
\(578\) 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 −0.466448 0.884549i \(-0.654467\pi\)
0.0858220 + 0.996310i \(0.472648\pi\)
\(588\) −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 −0.549781 0.835309i \(-0.685289\pi\)
0.762845 0.646581i \(-0.223802\pi\)
\(594\) −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 −0.934157 0.356862i \(-0.883847\pi\)
0.486174 + 0.873862i \(0.338392\pi\)
\(602\) 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 0.996829 + 0.0795759i \(0.0253566\pi\)
−0.934031 + 0.357192i \(0.883734\pi\)
\(608\) 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 0.411867 0.911244i \(-0.364877\pi\)
−0.960584 + 0.277991i \(0.910331\pi\)
\(614\) 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 0.591977 0.805955i \(-0.298348\pi\)
−0.487206 + 0.873287i \(0.661984\pi\)
\(618\) −2.97912 + 3.43809i −0.119838 + 0.138300i
\(619\) 12.4859 + 3.66620i 0.501851 + 0.147357i 0.522853 0.852423i \(-0.324868\pi\)
−0.0210022 + 0.999779i \(0.506686\pi\)
\(620\) 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 −0.810852 0.585251i \(-0.800996\pi\)
0.973298 + 0.229544i \(0.0737233\pi\)
\(632\) 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 −0.904181 0.427149i \(-0.859518\pi\)
0.551480 + 0.834188i \(0.314063\pi\)
\(642\) 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 −0.309478 0.950907i \(-0.600154\pi\)
0.985271 + 0.171000i \(0.0546999\pi\)
\(648\) 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 −0.926803 0.375548i \(-0.877454\pi\)
0.783457 0.621446i \(-0.213455\pi\)
\(654\) −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 0.870780 0.491672i \(-0.163614\pi\)
−0.610592 + 0.791945i \(0.709069\pi\)
\(660\) 8.70154 + 19.0537i 0.338707 + 0.741665i
\(661\) −25.1993 + 16.1946i −0.980140 + 0.629897i −0.929501 0.368820i \(-0.879762\pi\)
−0.0506386 + 0.998717i \(0.516126\pi\)
\(662\) −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 −0.573096 0.819488i \(-0.694258\pi\)
0.507360 + 0.861734i \(0.330622\pi\)
\(674\) −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 −0.888950 0.458005i \(-0.848564\pi\)
0.928275 + 0.371894i \(0.121291\pi\)
\(678\) −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 −0.982011 0.188825i \(-0.939532\pi\)
0.500376 0.865808i \(-0.333195\pi\)
\(684\) 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 −0.268313 0.963332i \(-0.586466\pi\)
0.295097 + 0.955467i \(0.404648\pi\)
\(702\) −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 0.846353 0.532622i \(-0.178793\pi\)
−0.132902 + 0.991129i \(0.542430\pi\)
\(710\) −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 −0.357465 0.933926i \(-0.616359\pi\)
0.701033 + 0.713129i \(0.252723\pi\)
\(720\) −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 −0.813590 0.581439i \(-0.802490\pi\)
0.616824 0.787101i \(-0.288419\pi\)
\(728\) −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 −0.996848 0.0793401i \(-0.974719\pi\)
0.220399 + 0.975410i \(0.429264\pi\)
\(734\) 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 0.0953439 + 0.995444i \(0.469605\pi\)
−0.998881 + 0.0472931i \(0.984941\pi\)
\(740\) 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 0.980816 + 0.194936i \(0.0624501\pi\)
−0.494975 + 0.868907i \(0.664823\pi\)
\(744\) 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 0.928534 0.371246i \(-0.121069\pi\)
−0.499612 + 0.866249i \(0.666524\pi\)
\(752\) −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 0.467222 0.884140i \(-0.345255\pi\)
−0.0849504 + 0.996385i \(0.527073\pi\)
\(758\) −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 0.288089 0.957604i \(-0.406980\pi\)
−0.275364 + 0.961340i \(0.588798\pi\)
\(762\) −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 −0.907326 0.420427i \(-0.861880\pi\)
0.911910 + 0.410390i \(0.134608\pi\)