Properties

Label 171.2.g.c.106.13
Level $171$
Weight $2$
Character 171.106
Analytic conductor $1.365$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 171 = 3^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 171.g (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.36544187456\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(16\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 106.13
Character \(\chi\) \(=\) 171.106
Dual form 171.2.g.c.121.13

$q$-expansion

\(f(q)\) \(=\) \(q+(1.01016 + 1.74964i) q^{2} +(-1.70377 + 0.311691i) q^{3} +(-1.04083 + 1.80277i) q^{4} -4.18739 q^{5} +(-2.26643 - 2.66614i) q^{6} +(-0.976107 + 1.69067i) q^{7} -0.164982 q^{8} +(2.80570 - 1.06210i) q^{9} +O(q^{10})\) \(q+(1.01016 + 1.74964i) q^{2} +(-1.70377 + 0.311691i) q^{3} +(-1.04083 + 1.80277i) q^{4} -4.18739 q^{5} +(-2.26643 - 2.66614i) q^{6} +(-0.976107 + 1.69067i) q^{7} -0.164982 q^{8} +(2.80570 - 1.06210i) q^{9} +(-4.22991 - 7.32643i) q^{10} +(-0.669450 + 1.15952i) q^{11} +(1.21143 - 3.39593i) q^{12} +(-0.975550 + 1.68970i) q^{13} -3.94408 q^{14} +(7.13436 - 1.30517i) q^{15} +(1.91500 + 3.31688i) q^{16} +(-3.34047 + 5.78587i) q^{17} +(4.69249 + 3.83607i) q^{18} +(4.11317 - 1.44285i) q^{19} +(4.35836 - 7.54890i) q^{20} +(1.13610 - 3.18476i) q^{21} -2.70500 q^{22} +(0.986266 - 1.70826i) q^{23} +(0.281092 - 0.0514234i) q^{24} +12.5342 q^{25} -3.94183 q^{26} +(-4.44923 + 2.68410i) q^{27} +(-2.03192 - 3.51940i) q^{28} -5.90062 q^{29} +(9.49040 + 11.1642i) q^{30} +(-0.385886 - 0.668373i) q^{31} +(-4.03389 + 6.98690i) q^{32} +(0.779180 - 2.18423i) q^{33} -13.4976 q^{34} +(4.08734 - 7.07948i) q^{35} +(-1.00553 + 6.16350i) q^{36} +2.26011 q^{37} +(6.67941 + 5.73908i) q^{38} +(1.13545 - 3.18294i) q^{39} +0.690843 q^{40} +7.59691 q^{41} +(6.71983 - 1.22934i) q^{42} +(-3.97802 - 6.89012i) q^{43} +(-1.39357 - 2.41373i) q^{44} +(-11.7485 + 4.44744i) q^{45} +3.98513 q^{46} -1.10774 q^{47} +(-4.29658 - 5.05433i) q^{48} +(1.59443 + 2.76163i) q^{49} +(12.6615 + 21.9304i) q^{50} +(3.88801 - 10.8990i) q^{51} +(-2.03076 - 3.51739i) q^{52} +(3.75226 + 6.49910i) q^{53} +(-9.19062 - 5.07320i) q^{54} +(2.80325 - 4.85537i) q^{55} +(0.161040 - 0.278929i) q^{56} +(-6.55820 + 3.74033i) q^{57} +(-5.96055 - 10.3240i) q^{58} +1.01399 q^{59} +(-5.07274 + 14.2201i) q^{60} +0.332081 q^{61} +(0.779609 - 1.35032i) q^{62} +(-0.942998 + 5.78023i) q^{63} -8.63941 q^{64} +(4.08500 - 7.07543i) q^{65} +(4.60871 - 0.843124i) q^{66} +(-6.45447 + 11.1795i) q^{67} +(-6.95373 - 12.0442i) q^{68} +(-1.14792 + 3.21791i) q^{69} +16.5154 q^{70} +(1.81291 - 3.14004i) q^{71} +(-0.462889 + 0.175228i) q^{72} +(-2.48182 + 4.29864i) q^{73} +(2.28306 + 3.95438i) q^{74} +(-21.3555 + 3.90680i) q^{75} +(-1.67999 + 8.91687i) q^{76} +(-1.30691 - 2.26363i) q^{77} +(6.71599 - 1.22863i) q^{78} +(-2.58841 - 4.48326i) q^{79} +(-8.01886 - 13.8891i) q^{80} +(6.74387 - 5.95988i) q^{81} +(7.67406 + 13.2919i) q^{82} +(6.30706 - 10.9242i) q^{83} +(4.55891 + 5.36293i) q^{84} +(13.9878 - 24.2277i) q^{85} +(8.03683 - 13.9202i) q^{86} +(10.0533 - 1.83917i) q^{87} +(0.110447 - 0.191300i) q^{88} +(0.569098 + 0.985707i) q^{89} +(-19.6493 - 16.0631i) q^{90} +(-1.90448 - 3.29866i) q^{91} +(2.05307 + 3.55603i) q^{92} +(0.865788 + 1.01848i) q^{93} +(-1.11899 - 1.93815i) q^{94} +(-17.2234 + 6.04176i) q^{95} +(4.69508 - 13.1614i) q^{96} +(1.87936 + 3.25515i) q^{97} +(-3.22125 + 5.57936i) q^{98} +(-0.646743 + 3.96429i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 32 q + q^{2} - 2 q^{3} - 17 q^{4} - 6 q^{5} + 2 q^{6} + q^{7} - 36 q^{8} - 10 q^{9} - 8 q^{10} + 7 q^{11} - 3 q^{12} - 4 q^{13} - 2 q^{14} + q^{15} - 11 q^{16} - 7 q^{17} + 6 q^{18} + 7 q^{19} - 3 q^{20} + 11 q^{21} + 16 q^{22} + 5 q^{23} + 27 q^{24} + 18 q^{25} - 4 q^{26} - 5 q^{27} - 10 q^{28} - 20 q^{29} - 5 q^{30} - 10 q^{31} + 17 q^{32} + 34 q^{33} + 26 q^{34} - 3 q^{35} - 16 q^{36} + 2 q^{37} + 38 q^{38} - 24 q^{40} - 12 q^{41} + 25 q^{42} + 7 q^{43} + 20 q^{44} - 35 q^{45} + 18 q^{47} - 33 q^{48} - 13 q^{49} + q^{50} - 28 q^{51} + 19 q^{52} + 16 q^{53} + 35 q^{54} + 15 q^{55} - 6 q^{56} + 6 q^{57} - 74 q^{59} + 50 q^{60} + 24 q^{61} + 54 q^{62} - 30 q^{63} - 64 q^{64} + 54 q^{65} + 4 q^{66} - 11 q^{67} - 2 q^{68} + 3 q^{69} - 48 q^{70} + 9 q^{71} - 10 q^{73} + 6 q^{74} - 76 q^{75} + 29 q^{76} + 46 q^{77} - 82 q^{78} - 8 q^{79} - 24 q^{80} + 26 q^{81} + 7 q^{82} + 3 q^{83} + 12 q^{84} - 27 q^{85} + 17 q^{86} - 9 q^{87} + 9 q^{88} + 30 q^{89} - 74 q^{90} - q^{91} - 17 q^{92} - 24 q^{93} - 18 q^{94} - 6 q^{95} - 5 q^{96} + 18 q^{98} - 10 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).

\(n\) \(20\) \(154\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.01016 + 1.74964i 0.714288 + 1.23718i 0.963233 + 0.268666i \(0.0865828\pi\)
−0.248945 + 0.968518i \(0.580084\pi\)
\(3\) −1.70377 + 0.311691i −0.983675 + 0.179955i
\(4\) −1.04083 + 1.80277i −0.520415 + 0.901386i
\(5\) −4.18739 −1.87266 −0.936328 0.351127i \(-0.885799\pi\)
−0.936328 + 0.351127i \(0.885799\pi\)
\(6\) −2.26643 2.66614i −0.925265 1.08845i
\(7\) −0.976107 + 1.69067i −0.368934 + 0.639012i −0.989399 0.145222i \(-0.953610\pi\)
0.620465 + 0.784234i \(0.286944\pi\)
\(8\) −0.164982 −0.0583299
\(9\) 2.80570 1.06210i 0.935232 0.354034i
\(10\) −4.22991 7.32643i −1.33762 2.31682i
\(11\) −0.669450 + 1.15952i −0.201847 + 0.349609i −0.949124 0.314904i \(-0.898028\pi\)
0.747277 + 0.664513i \(0.231361\pi\)
\(12\) 1.21143 3.39593i 0.349711 0.980322i
\(13\) −0.975550 + 1.68970i −0.270569 + 0.468639i −0.969008 0.247031i \(-0.920545\pi\)
0.698439 + 0.715670i \(0.253878\pi\)
\(14\) −3.94408 −1.05410
\(15\) 7.13436 1.30517i 1.84208 0.336994i
\(16\) 1.91500 + 3.31688i 0.478751 + 0.829221i
\(17\) −3.34047 + 5.78587i −0.810184 + 1.40328i 0.102552 + 0.994728i \(0.467299\pi\)
−0.912735 + 0.408551i \(0.866034\pi\)
\(18\) 4.69249 + 3.83607i 1.10603 + 0.904172i
\(19\) 4.11317 1.44285i 0.943626 0.331012i
\(20\) 4.35836 7.54890i 0.974559 1.68799i
\(21\) 1.13610 3.18476i 0.247917 0.694972i
\(22\) −2.70500 −0.576707
\(23\) 0.986266 1.70826i 0.205651 0.356197i −0.744689 0.667411i \(-0.767402\pi\)
0.950340 + 0.311214i \(0.100736\pi\)
\(24\) 0.281092 0.0514234i 0.0573777 0.0104968i
\(25\) 12.5342 2.50684
\(26\) −3.94183 −0.773056
\(27\) −4.44923 + 2.68410i −0.856254 + 0.516554i
\(28\) −2.03192 3.51940i −0.383998 0.665103i
\(29\) −5.90062 −1.09572 −0.547859 0.836571i \(-0.684557\pi\)
−0.547859 + 0.836571i \(0.684557\pi\)
\(30\) 9.49040 + 11.1642i 1.73270 + 2.03829i
\(31\) −0.385886 0.668373i −0.0693071 0.120043i 0.829289 0.558819i \(-0.188746\pi\)
−0.898596 + 0.438776i \(0.855412\pi\)
\(32\) −4.03389 + 6.98690i −0.713097 + 1.23512i
\(33\) 0.779180 2.18423i 0.135638 0.380225i
\(34\) −13.4976 −2.31482
\(35\) 4.08734 7.07948i 0.690886 1.19665i
\(36\) −1.00553 + 6.16350i −0.167588 + 1.02725i
\(37\) 2.26011 0.371560 0.185780 0.982591i \(-0.440519\pi\)
0.185780 + 0.982591i \(0.440519\pi\)
\(38\) 6.67941 + 5.73908i 1.08354 + 0.931001i
\(39\) 1.13545 3.18294i 0.181818 0.509679i
\(40\) 0.690843 0.109232
\(41\) 7.59691 1.18644 0.593219 0.805041i \(-0.297857\pi\)
0.593219 + 0.805041i \(0.297857\pi\)
\(42\) 6.71983 1.22934i 1.03689 0.189691i
\(43\) −3.97802 6.89012i −0.606642 1.05073i −0.991790 0.127879i \(-0.959183\pi\)
0.385148 0.922855i \(-0.374150\pi\)
\(44\) −1.39357 2.41373i −0.210088 0.363884i
\(45\) −11.7485 + 4.44744i −1.75137 + 0.662985i
\(46\) 3.98513 0.587576
\(47\) −1.10774 −0.161580 −0.0807902 0.996731i \(-0.525744\pi\)
−0.0807902 + 0.996731i \(0.525744\pi\)
\(48\) −4.29658 5.05433i −0.620158 0.729530i
\(49\) 1.59443 + 2.76163i 0.227776 + 0.394519i
\(50\) 12.6615 + 21.9304i 1.79061 + 3.10142i
\(51\) 3.88801 10.8990i 0.544430 1.52617i
\(52\) −2.03076 3.51739i −0.281616 0.487774i
\(53\) 3.75226 + 6.49910i 0.515412 + 0.892721i 0.999840 + 0.0178892i \(0.00569461\pi\)
−0.484427 + 0.874831i \(0.660972\pi\)
\(54\) −9.19062 5.07320i −1.25069 0.690375i
\(55\) 2.80325 4.85537i 0.377990 0.654697i
\(56\) 0.161040 0.278929i 0.0215199 0.0372735i
\(57\) −6.55820 + 3.74033i −0.868654 + 0.495419i
\(58\) −5.96055 10.3240i −0.782658 1.35560i
\(59\) 1.01399 0.132011 0.0660053 0.997819i \(-0.478975\pi\)
0.0660053 + 0.997819i \(0.478975\pi\)
\(60\) −5.07274 + 14.2201i −0.654888 + 1.83581i
\(61\) 0.332081 0.0425186 0.0212593 0.999774i \(-0.493232\pi\)
0.0212593 + 0.999774i \(0.493232\pi\)
\(62\) 0.779609 1.35032i 0.0990105 0.171491i
\(63\) −0.942998 + 5.78023i −0.118807 + 0.728240i
\(64\) −8.63941 −1.07993
\(65\) 4.08500 7.07543i 0.506682 0.877599i
\(66\) 4.60871 0.843124i 0.567293 0.103781i
\(67\) −6.45447 + 11.1795i −0.788539 + 1.36579i 0.138322 + 0.990387i \(0.455829\pi\)
−0.926862 + 0.375403i \(0.877504\pi\)
\(68\) −6.95373 12.0442i −0.843264 1.46058i
\(69\) −1.14792 + 3.21791i −0.138194 + 0.387390i
\(70\) 16.5154 1.97397
\(71\) 1.81291 3.14004i 0.215152 0.372655i −0.738167 0.674618i \(-0.764309\pi\)
0.953320 + 0.301963i \(0.0976419\pi\)
\(72\) −0.462889 + 0.175228i −0.0545520 + 0.0206508i
\(73\) −2.48182 + 4.29864i −0.290475 + 0.503118i −0.973922 0.226882i \(-0.927147\pi\)
0.683447 + 0.730000i \(0.260480\pi\)
\(74\) 2.28306 + 3.95438i 0.265401 + 0.459688i
\(75\) −21.3555 + 3.90680i −2.46592 + 0.451118i
\(76\) −1.67999 + 8.91687i −0.192708 + 1.02284i
\(77\) −1.30691 2.26363i −0.148936 0.257965i
\(78\) 6.71599 1.22863i 0.760436 0.139115i
\(79\) −2.58841 4.48326i −0.291219 0.504406i 0.682879 0.730531i \(-0.260728\pi\)
−0.974098 + 0.226125i \(0.927394\pi\)
\(80\) −8.01886 13.8891i −0.896536 1.55285i
\(81\) 6.74387 5.95988i 0.749319 0.662209i
\(82\) 7.67406 + 13.2919i 0.847458 + 1.46784i
\(83\) 6.30706 10.9242i 0.692290 1.19908i −0.278796 0.960350i \(-0.589935\pi\)
0.971086 0.238731i \(-0.0767315\pi\)
\(84\) 4.55891 + 5.36293i 0.497417 + 0.585143i
\(85\) 13.9878 24.2277i 1.51720 2.62786i
\(86\) 8.03683 13.9202i 0.866634 1.50105i
\(87\) 10.0533 1.83917i 1.07783 0.197180i
\(88\) 0.110447 0.191300i 0.0117737 0.0203927i
\(89\) 0.569098 + 0.985707i 0.0603243 + 0.104485i 0.894610 0.446847i \(-0.147453\pi\)
−0.834286 + 0.551332i \(0.814120\pi\)
\(90\) −19.6493 16.0631i −2.07122 1.69320i
\(91\) −1.90448 3.29866i −0.199644 0.345793i
\(92\) 2.05307 + 3.55603i 0.214048 + 0.370741i
\(93\) 0.865788 + 1.01848i 0.0897781 + 0.105612i
\(94\) −1.11899 1.93815i −0.115415 0.199904i
\(95\) −17.2234 + 6.04176i −1.76709 + 0.619872i
\(96\) 4.69508 13.1614i 0.479190 1.34328i
\(97\) 1.87936 + 3.25515i 0.190821 + 0.330511i 0.945522 0.325557i \(-0.105552\pi\)
−0.754702 + 0.656068i \(0.772218\pi\)
\(98\) −3.22125 + 5.57936i −0.325395 + 0.563601i
\(99\) −0.646743 + 3.96429i −0.0650001 + 0.398426i
\(100\) −13.0460 + 22.5963i −1.30460 + 2.25963i
\(101\) −8.28686 −0.824574 −0.412287 0.911054i \(-0.635270\pi\)
−0.412287 + 0.911054i \(0.635270\pi\)
\(102\) 22.9969 4.20708i 2.27703 0.416563i
\(103\) 1.96614 + 3.40546i 0.193730 + 0.335550i 0.946483 0.322752i \(-0.104608\pi\)
−0.752754 + 0.658302i \(0.771275\pi\)
\(104\) 0.160948 0.278770i 0.0157823 0.0273357i
\(105\) −4.75729 + 13.3358i −0.464264 + 1.30144i
\(106\) −7.58074 + 13.1302i −0.736306 + 1.27532i
\(107\) −0.188538 −0.0182266 −0.00911332 0.999958i \(-0.502901\pi\)
−0.00911332 + 0.999958i \(0.502901\pi\)
\(108\) −0.207919 10.8146i −0.0200070 1.04064i
\(109\) −1.08750 + 1.88361i −0.104164 + 0.180417i −0.913396 0.407072i \(-0.866550\pi\)
0.809233 + 0.587488i \(0.199883\pi\)
\(110\) 11.3269 1.07997
\(111\) −3.85072 + 0.704456i −0.365494 + 0.0668640i
\(112\) −7.47700 −0.706510
\(113\) 6.33171 + 10.9669i 0.595638 + 1.03167i 0.993457 + 0.114211i \(0.0364339\pi\)
−0.397819 + 0.917464i \(0.630233\pi\)
\(114\) −13.1690 7.69618i −1.23339 0.720813i
\(115\) −4.12988 + 7.15316i −0.385113 + 0.667035i
\(116\) 6.14155 10.6375i 0.570228 0.987665i
\(117\) −0.942460 + 5.77693i −0.0871304 + 0.534077i
\(118\) 1.02429 + 1.77412i 0.0942936 + 0.163321i
\(119\) −6.52132 11.2953i −0.597808 1.03543i
\(120\) −1.17704 + 0.215330i −0.107449 + 0.0196568i
\(121\) 4.60367 + 7.97379i 0.418516 + 0.724890i
\(122\) 0.335454 + 0.581023i 0.0303706 + 0.0526033i
\(123\) −12.9434 + 2.36789i −1.16707 + 0.213505i
\(124\) 1.60657 0.144274
\(125\) −31.5486 −2.82179
\(126\) −11.0659 + 4.18902i −0.985829 + 0.373188i
\(127\) −2.35619 4.08103i −0.209078 0.362133i 0.742347 0.670016i \(-0.233713\pi\)
−0.951424 + 0.307883i \(0.900379\pi\)
\(128\) −0.659378 1.14208i −0.0582813 0.100946i
\(129\) 8.92523 + 10.4993i 0.785823 + 0.924413i
\(130\) 16.5060 1.44767
\(131\) 18.9020 1.65148 0.825740 0.564051i \(-0.190758\pi\)
0.825740 + 0.564051i \(0.190758\pi\)
\(132\) 3.12667 + 3.67809i 0.272141 + 0.320137i
\(133\) −1.57552 + 8.36238i −0.136615 + 0.725110i
\(134\) −26.0801 −2.25298
\(135\) 18.6306 11.2393i 1.60347 0.967329i
\(136\) 0.551117 0.954564i 0.0472579 0.0818531i
\(137\) 5.66962 0.484388 0.242194 0.970228i \(-0.422133\pi\)
0.242194 + 0.970228i \(0.422133\pi\)
\(138\) −6.78977 + 1.24213i −0.577983 + 0.105737i
\(139\) 3.58154 6.20340i 0.303782 0.526166i −0.673207 0.739454i \(-0.735084\pi\)
0.976989 + 0.213288i \(0.0684172\pi\)
\(140\) 8.50845 + 14.7371i 0.719095 + 1.24551i
\(141\) 1.88734 0.345272i 0.158942 0.0290772i
\(142\) 7.32527 0.614723
\(143\) −1.30616 2.26234i −0.109227 0.189187i
\(144\) 8.89580 + 7.27224i 0.741316 + 0.606020i
\(145\) 24.7082 2.05190
\(146\) −10.0281 −0.829932
\(147\) −3.57733 4.20823i −0.295053 0.347089i
\(148\) −2.35239 + 4.07446i −0.193365 + 0.334919i
\(149\) −18.0309 −1.47715 −0.738576 0.674171i \(-0.764501\pi\)
−0.738576 + 0.674171i \(0.764501\pi\)
\(150\) −28.4078 33.4179i −2.31949 2.72856i
\(151\) −3.24064 + 5.61296i −0.263720 + 0.456776i −0.967227 0.253911i \(-0.918283\pi\)
0.703508 + 0.710688i \(0.251616\pi\)
\(152\) −0.678599 + 0.238044i −0.0550416 + 0.0193079i
\(153\) −3.22717 + 19.7813i −0.260901 + 1.59922i
\(154\) 2.64037 4.57325i 0.212767 0.368523i
\(155\) 1.61585 + 2.79874i 0.129788 + 0.224800i
\(156\) 4.55630 + 5.35986i 0.364796 + 0.429133i
\(157\) −0.273786 −0.0218505 −0.0109252 0.999940i \(-0.503478\pi\)
−0.0109252 + 0.999940i \(0.503478\pi\)
\(158\) 5.22940 9.05759i 0.416029 0.720583i
\(159\) −8.41872 9.90346i −0.667648 0.785396i
\(160\) 16.8914 29.2568i 1.33539 2.31296i
\(161\) 1.92540 + 3.33490i 0.151743 + 0.262827i
\(162\) 17.2400 + 5.77895i 1.35450 + 0.454037i
\(163\) −8.01750 −0.627979 −0.313989 0.949426i \(-0.601666\pi\)
−0.313989 + 0.949426i \(0.601666\pi\)
\(164\) −7.90709 + 13.6955i −0.617440 + 1.06944i
\(165\) −3.26273 + 9.14620i −0.254003 + 0.712030i
\(166\) 25.4845 1.97798
\(167\) 10.3735 17.9674i 0.802724 1.39036i −0.115094 0.993355i \(-0.536717\pi\)
0.917817 0.397003i \(-0.129950\pi\)
\(168\) −0.187436 + 0.525428i −0.0144610 + 0.0405376i
\(169\) 4.59661 + 7.96155i 0.353585 + 0.612427i
\(170\) 56.5196 4.33486
\(171\) 10.0079 8.41681i 0.765320 0.643650i
\(172\) 16.5618 1.26282
\(173\) 8.94526 + 15.4936i 0.680095 + 1.17796i 0.974951 + 0.222418i \(0.0713949\pi\)
−0.294856 + 0.955542i \(0.595272\pi\)
\(174\) 13.3733 + 15.7319i 1.01383 + 1.19263i
\(175\) −12.2347 + 21.1912i −0.924858 + 1.60190i
\(176\) −5.12800 −0.386538
\(177\) −1.72761 + 0.316053i −0.129855 + 0.0237560i
\(178\) −1.14976 + 1.99144i −0.0861778 + 0.149264i
\(179\) 0.212492 0.0158824 0.00794121 0.999968i \(-0.497472\pi\)
0.00794121 + 0.999968i \(0.497472\pi\)
\(180\) 4.21053 25.8090i 0.313834 1.92369i
\(181\) 7.99132 + 13.8414i 0.593990 + 1.02882i 0.993689 + 0.112174i \(0.0357815\pi\)
−0.399698 + 0.916647i \(0.630885\pi\)
\(182\) 3.84765 6.66432i 0.285207 0.493992i
\(183\) −0.565791 + 0.103507i −0.0418245 + 0.00765144i
\(184\) −0.162716 + 0.281833i −0.0119956 + 0.0207770i
\(185\) −9.46395 −0.695803
\(186\) −0.907395 + 2.54364i −0.0665334 + 0.186509i
\(187\) −4.47256 7.74670i −0.327066 0.566495i
\(188\) 1.15297 1.99700i 0.0840889 0.145646i
\(189\) −0.194989 10.1421i −0.0141834 0.737731i
\(190\) −27.9693 24.0317i −2.02911 1.74344i
\(191\) 6.86947 11.8983i 0.497057 0.860928i −0.502937 0.864323i \(-0.667747\pi\)
0.999994 + 0.00339491i \(0.00108063\pi\)
\(192\) 14.7196 2.69283i 1.06230 0.194338i
\(193\) −14.4859 −1.04272 −0.521359 0.853337i \(-0.674575\pi\)
−0.521359 + 0.853337i \(0.674575\pi\)
\(194\) −3.79690 + 6.57643i −0.272602 + 0.472160i
\(195\) −4.75458 + 13.3282i −0.340482 + 0.954453i
\(196\) −6.63813 −0.474152
\(197\) 16.6680 1.18755 0.593774 0.804632i \(-0.297637\pi\)
0.593774 + 0.804632i \(0.297637\pi\)
\(198\) −7.58940 + 2.87299i −0.539355 + 0.204174i
\(199\) −4.99765 8.65619i −0.354274 0.613621i 0.632719 0.774381i \(-0.281939\pi\)
−0.986993 + 0.160760i \(0.948605\pi\)
\(200\) −2.06792 −0.146224
\(201\) 7.51242 21.0591i 0.529885 1.48539i
\(202\) −8.37102 14.4990i −0.588983 1.02015i
\(203\) 5.75964 9.97599i 0.404247 0.700177i
\(204\) 15.6017 + 18.3532i 1.09234 + 1.28498i
\(205\) −31.8112 −2.22179
\(206\) −3.97222 + 6.88009i −0.276758 + 0.479359i
\(207\) 0.952813 5.84039i 0.0662250 0.405935i
\(208\) −7.47273 −0.518140
\(209\) −1.08055 + 5.73523i −0.0747432 + 0.396714i
\(210\) −28.1385 + 5.14770i −1.94174 + 0.355225i
\(211\) 2.04396 0.140712 0.0703559 0.997522i \(-0.477586\pi\)
0.0703559 + 0.997522i \(0.477586\pi\)
\(212\) −15.6219 −1.07291
\(213\) −2.11006 + 5.91499i −0.144579 + 0.405289i
\(214\) −0.190453 0.329874i −0.0130191 0.0225497i
\(215\) 16.6575 + 28.8516i 1.13603 + 1.96766i
\(216\) 0.734042 0.442827i 0.0499452 0.0301306i
\(217\) 1.50666 0.102279
\(218\) −4.39418 −0.297611
\(219\) 2.88862 8.09748i 0.195195 0.547177i
\(220\) 5.83541 + 10.1072i 0.393423 + 0.681429i
\(221\) −6.51759 11.2888i −0.438421 0.759367i
\(222\) −5.12237 6.02576i −0.343791 0.404423i
\(223\) 13.1253 + 22.7337i 0.878937 + 1.52236i 0.852509 + 0.522712i \(0.175080\pi\)
0.0264273 + 0.999651i \(0.491587\pi\)
\(224\) −7.87501 13.6399i −0.526171 0.911356i
\(225\) 35.1672 13.3126i 2.34448 0.887508i
\(226\) −12.7920 + 22.1565i −0.850914 + 1.47383i
\(227\) −12.4225 + 21.5163i −0.824508 + 1.42809i 0.0777867 + 0.996970i \(0.475215\pi\)
−0.902295 + 0.431120i \(0.858119\pi\)
\(228\) 0.0830138 15.7160i 0.00549773 1.04082i
\(229\) −13.6496 23.6419i −0.901993 1.56230i −0.824903 0.565274i \(-0.808771\pi\)
−0.0770898 0.997024i \(-0.524563\pi\)
\(230\) −16.6873 −1.10033
\(231\) 2.93224 + 3.44937i 0.192927 + 0.226952i
\(232\) 0.973496 0.0639131
\(233\) 8.88155 15.3833i 0.581850 1.00779i −0.413411 0.910545i \(-0.635663\pi\)
0.995260 0.0972483i \(-0.0310041\pi\)
\(234\) −11.0596 + 4.18663i −0.722987 + 0.273689i
\(235\) 4.63853 0.302584
\(236\) −1.05539 + 1.82800i −0.0687003 + 0.118992i
\(237\) 5.80746 + 6.83168i 0.377235 + 0.443765i
\(238\) 13.1751 22.8199i 0.854015 1.47920i
\(239\) 5.94744 + 10.3013i 0.384708 + 0.666334i 0.991729 0.128352i \(-0.0409688\pi\)
−0.607021 + 0.794686i \(0.707635\pi\)
\(240\) 17.9914 + 21.1644i 1.16134 + 1.36616i
\(241\) −1.93933 −0.124923 −0.0624616 0.998047i \(-0.519895\pi\)
−0.0624616 + 0.998047i \(0.519895\pi\)
\(242\) −9.30086 + 16.1096i −0.597882 + 1.03556i
\(243\) −9.63240 + 12.2563i −0.617919 + 0.786242i
\(244\) −0.345640 + 0.598666i −0.0221273 + 0.0383257i
\(245\) −6.67649 11.5640i −0.426546 0.738799i
\(246\) −17.2178 20.2544i −1.09777 1.29137i
\(247\) −1.57462 + 8.35760i −0.100191 + 0.531782i
\(248\) 0.0636641 + 0.110270i 0.00404268 + 0.00700212i
\(249\) −7.34085 + 20.5782i −0.465208 + 1.30409i
\(250\) −31.8690 55.1988i −2.01557 3.49108i
\(251\) −8.69809 15.0655i −0.549019 0.950928i −0.998342 0.0575591i \(-0.981668\pi\)
0.449323 0.893369i \(-0.351665\pi\)
\(252\) −9.43893 7.71625i −0.594597 0.486078i
\(253\) 1.32051 + 2.28719i 0.0830199 + 0.143795i
\(254\) 4.76023 8.24496i 0.298684 0.517335i
\(255\) −16.2806 + 45.6384i −1.01953 + 2.85799i
\(256\) −7.30726 + 12.6565i −0.456704 + 0.791034i
\(257\) 14.0906 24.4056i 0.878946 1.52238i 0.0264478 0.999650i \(-0.491580\pi\)
0.852499 0.522730i \(-0.175086\pi\)
\(258\) −9.35415 + 26.2219i −0.582364 + 1.63250i
\(259\) −2.20611 + 3.82109i −0.137081 + 0.237431i
\(260\) 8.50359 + 14.7287i 0.527371 + 0.913433i
\(261\) −16.5554 + 6.26707i −1.02475 + 0.387922i
\(262\) 19.0940 + 33.0718i 1.17963 + 2.04318i
\(263\) 0.599297 + 1.03801i 0.0369542 + 0.0640066i 0.883911 0.467655i \(-0.154901\pi\)
−0.846957 + 0.531662i \(0.821568\pi\)
\(264\) −0.128551 + 0.360358i −0.00791174 + 0.0221785i
\(265\) −15.7122 27.2143i −0.965190 1.67176i
\(266\) −16.2227 + 5.69071i −0.994677 + 0.348920i
\(267\) −1.27685 1.50204i −0.0781420 0.0919233i
\(268\) −13.4360 23.2719i −0.820736 1.42156i
\(269\) 3.49711 6.05717i 0.213222 0.369312i −0.739499 0.673158i \(-0.764937\pi\)
0.952721 + 0.303846i \(0.0982708\pi\)
\(270\) 38.4847 + 21.2434i 2.34210 + 1.29283i
\(271\) 6.19864 10.7364i 0.376541 0.652188i −0.614016 0.789294i \(-0.710447\pi\)
0.990556 + 0.137106i \(0.0437801\pi\)
\(272\) −25.5881 −1.55150
\(273\) 4.27297 + 5.02656i 0.258612 + 0.304221i
\(274\) 5.72720 + 9.91980i 0.345993 + 0.599277i
\(275\) −8.39103 + 14.5337i −0.505998 + 0.876414i
\(276\) −4.60636 5.41874i −0.277270 0.326170i
\(277\) 9.75455 16.8954i 0.586094 1.01514i −0.408644 0.912694i \(-0.633998\pi\)
0.994738 0.102451i \(-0.0326684\pi\)
\(278\) 14.4716 0.867952
\(279\) −1.79256 1.46540i −0.107318 0.0877314i
\(280\) −0.674337 + 1.16799i −0.0402993 + 0.0698005i
\(281\) −24.1496 −1.44064 −0.720321 0.693641i \(-0.756006\pi\)
−0.720321 + 0.693641i \(0.756006\pi\)
\(282\) 2.51061 + 2.95339i 0.149505 + 0.175872i
\(283\) 21.2081 1.26069 0.630344 0.776316i \(-0.282914\pi\)
0.630344 + 0.776316i \(0.282914\pi\)
\(284\) 3.77386 + 6.53651i 0.223937 + 0.387870i
\(285\) 27.4617 15.6622i 1.62669 0.927749i
\(286\) 2.63886 4.57064i 0.156039 0.270268i
\(287\) −7.41539 + 12.8438i −0.437717 + 0.758148i
\(288\) −3.89706 + 23.8875i −0.229636 + 1.40759i
\(289\) −13.8175 23.9326i −0.812795 1.40780i
\(290\) 24.9591 + 43.2305i 1.46565 + 2.53858i
\(291\) −4.21662 4.96027i −0.247182 0.290776i
\(292\) −5.16631 8.94832i −0.302336 0.523661i
\(293\) 7.84223 + 13.5831i 0.458148 + 0.793535i 0.998863 0.0476705i \(-0.0151797\pi\)
−0.540715 + 0.841206i \(0.681846\pi\)
\(294\) 3.74924 10.5100i 0.218660 0.612956i
\(295\) −4.24598 −0.247210
\(296\) −0.372877 −0.0216730
\(297\) −0.133731 6.95585i −0.00775986 0.403619i
\(298\) −18.2141 31.5477i −1.05511 1.82751i
\(299\) 1.92430 + 3.33299i 0.111285 + 0.192752i
\(300\) 15.1843 42.5653i 0.876669 2.45751i
\(301\) 15.5319 0.895242
\(302\) −13.0942 −0.753488
\(303\) 14.1189 2.58294i 0.811112 0.148386i
\(304\) 12.6625 + 10.8799i 0.726244 + 0.624003i
\(305\) −1.39055 −0.0796228
\(306\) −37.8702 + 14.3358i −2.16489 + 0.819525i
\(307\) 8.67805 15.0308i 0.495283 0.857855i −0.504703 0.863293i \(-0.668398\pi\)
0.999985 + 0.00543863i \(0.00173118\pi\)
\(308\) 5.44109 0.310035
\(309\) −4.41132 5.18931i −0.250951 0.295209i
\(310\) −3.26453 + 5.65432i −0.185413 + 0.321144i
\(311\) −9.13185 15.8168i −0.517820 0.896890i −0.999786 0.0207003i \(-0.993410\pi\)
0.481966 0.876190i \(-0.339923\pi\)
\(312\) −0.187329 + 0.525128i −0.0106054 + 0.0297295i
\(313\) −9.81792 −0.554942 −0.277471 0.960734i \(-0.589496\pi\)
−0.277471 + 0.960734i \(0.589496\pi\)
\(314\) −0.276566 0.479027i −0.0156075 0.0270330i
\(315\) 3.94870 24.2040i 0.222484 1.36374i
\(316\) 10.7764 0.606220
\(317\) −11.3538 −0.637691 −0.318846 0.947807i \(-0.603295\pi\)
−0.318846 + 0.947807i \(0.603295\pi\)
\(318\) 8.82329 24.7338i 0.494786 1.38700i
\(319\) 3.95017 6.84190i 0.221167 0.383073i
\(320\) 36.1765 2.02233
\(321\) 0.321226 0.0587656i 0.0179291 0.00327997i
\(322\) −3.88991 + 6.73753i −0.216776 + 0.375468i
\(323\) −5.39181 + 28.6181i −0.300008 + 1.59235i
\(324\) 3.72507 + 18.3609i 0.206948 + 1.02005i
\(325\) −12.2277 + 21.1791i −0.678273 + 1.17480i
\(326\) −8.09892 14.0277i −0.448558 0.776925i
\(327\) 1.26575 3.54820i 0.0699962 0.196216i
\(328\) −1.25335 −0.0692048
\(329\) 1.08127 1.87282i 0.0596124 0.103252i
\(330\) −19.2984 + 3.53048i −1.06234 + 0.194347i
\(331\) 2.31414 4.00820i 0.127196 0.220311i −0.795393 0.606094i \(-0.792735\pi\)
0.922589 + 0.385783i \(0.126069\pi\)
\(332\) 13.1292 + 22.7404i 0.720557 + 1.24804i
\(333\) 6.34118 2.40047i 0.347495 0.131545i
\(334\) 41.9153 2.29350
\(335\) 27.0274 46.8128i 1.47666 2.55765i
\(336\) 12.7391 2.33051i 0.694976 0.127140i
\(337\) −14.6645 −0.798829 −0.399414 0.916771i \(-0.630787\pi\)
−0.399414 + 0.916771i \(0.630787\pi\)
\(338\) −9.28658 + 16.0848i −0.505123 + 0.874899i
\(339\) −14.2061 16.7115i −0.771569 0.907644i
\(340\) 29.1180 + 50.4338i 1.57914 + 2.73516i
\(341\) 1.03332 0.0559577
\(342\) 24.8359 + 9.00788i 1.34297 + 0.487090i
\(343\) −19.8908 −1.07400
\(344\) 0.656301 + 1.13675i 0.0353854 + 0.0612892i
\(345\) 4.80680 13.4746i 0.258790 0.725449i
\(346\) −18.0722 + 31.3020i −0.971568 + 1.68281i
\(347\) 30.1189 1.61687 0.808434 0.588587i \(-0.200316\pi\)
0.808434 + 0.588587i \(0.200316\pi\)
\(348\) −7.14821 + 20.0381i −0.383184 + 1.07416i
\(349\) 1.39279 2.41239i 0.0745545 0.129132i −0.826338 0.563175i \(-0.809580\pi\)
0.900892 + 0.434042i \(0.142913\pi\)
\(350\) −49.4359 −2.64246
\(351\) −0.194878 10.1363i −0.0104018 0.541038i
\(352\) −5.40098 9.35476i −0.287873 0.498611i
\(353\) 5.04882 8.74482i 0.268722 0.465440i −0.699810 0.714329i \(-0.746732\pi\)
0.968532 + 0.248889i \(0.0800655\pi\)
\(354\) −2.29814 2.70344i −0.122145 0.143686i
\(355\) −7.59133 + 13.1486i −0.402906 + 0.697854i
\(356\) −2.36934 −0.125575
\(357\) 14.6315 + 17.2119i 0.774380 + 0.910952i
\(358\) 0.214650 + 0.371785i 0.0113446 + 0.0196495i
\(359\) −3.12391 + 5.41076i −0.164873 + 0.285569i −0.936610 0.350373i \(-0.886055\pi\)
0.771737 + 0.635942i \(0.219388\pi\)
\(360\) 1.93830 0.733746i 0.102157 0.0386718i
\(361\) 14.8364 11.8694i 0.780862 0.624704i
\(362\) −16.1450 + 27.9639i −0.848560 + 1.46975i
\(363\) −10.3290 12.1506i −0.542131 0.637743i
\(364\) 7.92897 0.415591
\(365\) 10.3923 18.0001i 0.543960 0.942167i
\(366\) −0.752637 0.885374i −0.0393410 0.0462792i
\(367\) 2.89031 0.150873 0.0754366 0.997151i \(-0.475965\pi\)
0.0754366 + 0.997151i \(0.475965\pi\)
\(368\) 7.55482 0.393822
\(369\) 21.3146 8.06870i 1.10959 0.420040i
\(370\) −9.56007 16.5585i −0.497004 0.860837i
\(371\) −14.6504 −0.760612
\(372\) −2.73723 + 0.500753i −0.141919 + 0.0259628i
\(373\) −7.36377 12.7544i −0.381282 0.660399i 0.609964 0.792429i \(-0.291184\pi\)
−0.991246 + 0.132030i \(0.957851\pi\)
\(374\) 9.03597 15.6508i 0.467239 0.809281i
\(375\) 53.7517 9.83342i 2.77573 0.507796i
\(376\) 0.182757 0.00942496
\(377\) 5.75635 9.97029i 0.296467 0.513496i
\(378\) 17.5481 10.5863i 0.902578 0.544500i
\(379\) 11.7601 0.604077 0.302038 0.953296i \(-0.402333\pi\)
0.302038 + 0.953296i \(0.402333\pi\)
\(380\) 7.03477 37.3384i 0.360876 1.91542i
\(381\) 5.28643 + 6.21876i 0.270832 + 0.318597i
\(382\) 27.7569 1.42017
\(383\) −30.9063 −1.57924 −0.789619 0.613597i \(-0.789722\pi\)
−0.789619 + 0.613597i \(0.789722\pi\)
\(384\) 1.47941 + 1.74032i 0.0754956 + 0.0888102i
\(385\) 5.47254 + 9.47871i 0.278906 + 0.483080i
\(386\) −14.6330 25.3451i −0.744801 1.29003i
\(387\) −18.4791 15.1065i −0.939347 0.767909i
\(388\) −7.82440 −0.397224
\(389\) 14.1775 0.718828 0.359414 0.933178i \(-0.382977\pi\)
0.359414 + 0.933178i \(0.382977\pi\)
\(390\) −28.1224 + 5.14476i −1.42404 + 0.260515i
\(391\) 6.58919 + 11.4128i 0.333230 + 0.577171i
\(392\) −0.263052 0.455620i −0.0132861 0.0230123i
\(393\) −32.2048 + 5.89160i −1.62452 + 0.297192i
\(394\) 16.8373 + 29.1631i 0.848252 + 1.46922i
\(395\) 10.8387 + 18.7731i 0.545353 + 0.944579i
\(396\) −6.47357 5.29209i −0.325309 0.265937i
\(397\) −3.48803 + 6.04144i −0.175059 + 0.303211i −0.940182 0.340673i \(-0.889345\pi\)
0.765123 + 0.643885i \(0.222678\pi\)
\(398\) 10.0968 17.4882i 0.506108 0.876604i
\(399\) 0.0778516 14.7387i 0.00389746 0.737857i
\(400\) 24.0030 + 41.5745i 1.20015 + 2.07872i
\(401\) 16.7884 0.838371 0.419186 0.907901i \(-0.362316\pi\)
0.419186 + 0.907901i \(0.362316\pi\)
\(402\) 44.4346 8.12894i 2.21620 0.405435i
\(403\) 1.50580 0.0750094
\(404\) 8.62522 14.9393i 0.429121 0.743259i
\(405\) −28.2392 + 24.9563i −1.40322 + 1.24009i
\(406\) 23.2725 1.15500
\(407\) −1.51303 + 2.62065i −0.0749982 + 0.129901i
\(408\) −0.641451 + 1.79814i −0.0317566 + 0.0890212i
\(409\) −6.70008 + 11.6049i −0.331298 + 0.573824i −0.982767 0.184851i \(-0.940820\pi\)
0.651469 + 0.758675i \(0.274153\pi\)
\(410\) −32.1343 55.6582i −1.58700 2.74876i
\(411\) −9.65975 + 1.76717i −0.476480 + 0.0871681i
\(412\) −8.18569 −0.403280
\(413\) −0.989765 + 1.71432i −0.0487032 + 0.0843563i
\(414\) 11.1811 4.23262i 0.549520 0.208022i
\(415\) −26.4101 + 45.7436i −1.29642 + 2.24547i
\(416\) −7.87052 13.6321i −0.385884 0.668370i
\(417\) −4.16859 + 11.6855i −0.204137 + 0.572243i
\(418\) −11.1261 + 3.90290i −0.544196 + 0.190897i
\(419\) 5.28778 + 9.15870i 0.258325 + 0.447432i 0.965793 0.259313i \(-0.0834962\pi\)
−0.707468 + 0.706745i \(0.750163\pi\)
\(420\) −19.0899 22.4566i −0.931492 1.09577i
\(421\) 9.63348 + 16.6857i 0.469507 + 0.813210i 0.999392 0.0348593i \(-0.0110983\pi\)
−0.529885 + 0.848069i \(0.677765\pi\)
\(422\) 2.06472 + 3.57619i 0.100509 + 0.174086i
\(423\) −3.10798 + 1.17653i −0.151115 + 0.0572050i
\(424\) −0.619055 1.07223i −0.0300640 0.0520723i
\(425\) −41.8702 + 72.5212i −2.03100 + 3.51780i
\(426\) −12.4806 + 2.28322i −0.604687 + 0.110622i
\(427\) −0.324147 + 0.561438i −0.0156866 + 0.0271699i
\(428\) 0.196236 0.339891i 0.00948542 0.0164292i
\(429\) 2.93056 + 3.44740i 0.141489 + 0.166442i
\(430\) −33.6533 + 58.2893i −1.62291 + 2.81096i
\(431\) 13.7684 + 23.8476i 0.663203 + 1.14870i 0.979769 + 0.200130i \(0.0641366\pi\)
−0.316567 + 0.948570i \(0.602530\pi\)
\(432\) −17.4231 9.61752i −0.838271 0.462723i
\(433\) −10.9652 18.9923i −0.526954 0.912711i −0.999507 0.0314088i \(-0.990001\pi\)
0.472552 0.881303i \(-0.343333\pi\)
\(434\) 1.52196 + 2.63612i 0.0730566 + 0.126538i
\(435\) −42.0972 + 7.70132i −2.01841 + 0.369250i
\(436\) −2.26381 3.92103i −0.108417 0.187783i
\(437\) 1.59192 8.44941i 0.0761518 0.404190i
\(438\) 17.0856 3.12567i 0.816383 0.149350i
\(439\) 7.11143 + 12.3174i 0.339410 + 0.587876i 0.984322 0.176381i \(-0.0564392\pi\)
−0.644912 + 0.764257i \(0.723106\pi\)
\(440\) −0.462485 + 0.801047i −0.0220481 + 0.0381884i
\(441\) 7.40663 + 6.05486i 0.352697 + 0.288327i
\(442\) 13.1676 22.8069i 0.626318 1.08481i
\(443\) 14.2332 0.676240 0.338120 0.941103i \(-0.390209\pi\)
0.338120 + 0.941103i \(0.390209\pi\)
\(444\) 2.73797 7.67518i 0.129938 0.364248i
\(445\) −2.38303 4.12753i −0.112967 0.195664i
\(446\) −26.5172 + 45.9292i −1.25563 + 2.17481i
\(447\) 30.7206 5.62008i 1.45304 0.265821i
\(448\) 8.43299 14.6064i 0.398421 0.690086i
\(449\) 3.11473 0.146993 0.0734966 0.997295i \(-0.476584\pi\)
0.0734966 + 0.997295i \(0.476584\pi\)
\(450\) 58.8166 + 48.0821i 2.77264 + 2.26661i
\(451\) −5.08575 + 8.80878i −0.239479 + 0.414789i
\(452\) −26.3610 −1.23992
\(453\) 3.77182 10.5733i 0.177215 0.496777i
\(454\) −50.1945 −2.35575
\(455\) 7.97480 + 13.8128i 0.373864 + 0.647552i
\(456\) 1.08198 0.617087i 0.0506685 0.0288977i
\(457\) 5.77896 10.0095i 0.270329 0.468223i −0.698617 0.715495i \(-0.746201\pi\)
0.968946 + 0.247273i \(0.0795344\pi\)
\(458\) 27.5765 47.7639i 1.28857 2.23186i
\(459\) −0.667301 34.7088i −0.0311469 1.62007i
\(460\) −8.59701 14.8905i −0.400838 0.694271i
\(461\) 2.76252 + 4.78482i 0.128663 + 0.222851i 0.923159 0.384419i \(-0.125598\pi\)
−0.794496 + 0.607270i \(0.792265\pi\)
\(462\) −3.07315 + 8.61477i −0.142976 + 0.400795i
\(463\) −6.11457 10.5907i −0.284168 0.492193i 0.688239 0.725484i \(-0.258384\pi\)
−0.972407 + 0.233291i \(0.925051\pi\)
\(464\) −11.2997 19.5717i −0.524576 0.908592i
\(465\) −3.62539 4.26477i −0.168123 0.197774i
\(466\) 35.8870 1.66243
\(467\) 2.22377 0.102904 0.0514518 0.998675i \(-0.483615\pi\)
0.0514518 + 0.998675i \(0.483615\pi\)
\(468\) −9.43354 7.71184i −0.436065 0.356480i
\(469\) −12.6005 21.8247i −0.581838 1.00777i
\(470\) 4.68564 + 8.11577i 0.216132 + 0.374352i
\(471\) 0.466469 0.0853365i 0.0214938 0.00393210i
\(472\) −0.167290 −0.00770016
\(473\) 10.6523 0.489795
\(474\) −6.08655 + 17.0620i −0.279565 + 0.783686i
\(475\) 51.5553 18.0850i 2.36552 0.829795i
\(476\) 27.1504 1.24443
\(477\) 17.4304 + 14.2492i 0.798084 + 0.652427i
\(478\) −12.0157 + 20.8118i −0.549585 + 0.951909i
\(479\) 13.9176 0.635913 0.317957 0.948105i \(-0.397003\pi\)
0.317957 + 0.948105i \(0.397003\pi\)
\(480\) −19.6601 + 55.1120i −0.897358 + 2.51551i
\(481\) −2.20485 + 3.81891i −0.100532 + 0.174127i
\(482\) −1.95903 3.39313i −0.0892312 0.154553i
\(483\) −4.31991 5.08178i −0.196563 0.231229i
\(484\) −19.1666 −0.871208
\(485\) −7.86962 13.6306i −0.357341 0.618933i
\(486\) −31.1744 4.47247i −1.41410 0.202875i
\(487\) −24.5312 −1.11161 −0.555807 0.831312i \(-0.687590\pi\)
−0.555807 + 0.831312i \(0.687590\pi\)
\(488\) −0.0547874 −0.00248011
\(489\) 13.6600 2.49898i 0.617727 0.113008i
\(490\) 13.4886 23.3629i 0.609353 1.05543i
\(491\) 17.4039 0.785425 0.392712 0.919661i \(-0.371537\pi\)
0.392712 + 0.919661i \(0.371537\pi\)
\(492\) 9.20314 25.7986i 0.414910 1.16309i
\(493\) 19.7109 34.1402i 0.887733 1.53760i
\(494\) −16.2134 + 5.68746i −0.729477 + 0.255891i
\(495\) 2.70816 16.6000i 0.121723 0.746116i
\(496\) 1.47795 2.55988i 0.0663617 0.114942i
\(497\) 3.53918 + 6.13004i 0.158754 + 0.274970i
\(498\) −43.4198 + 7.94329i −1.94569 + 0.355947i
\(499\) −38.4075 −1.71936 −0.859678 0.510836i \(-0.829336\pi\)
−0.859678 + 0.510836i \(0.829336\pi\)
\(500\) 32.8368 56.8749i 1.46850 2.54353i
\(501\) −12.0738 + 33.8457i −0.539417 + 1.51211i
\(502\) 17.5729 30.4371i 0.784315 1.35847i
\(503\) −0.757962 1.31283i −0.0337958 0.0585361i 0.848633 0.528982i \(-0.177426\pi\)
−0.882429 + 0.470446i \(0.844093\pi\)
\(504\) 0.155578 0.953633i 0.00692998 0.0424782i
\(505\) 34.7003 1.54414
\(506\) −2.66785 + 4.62085i −0.118600 + 0.205422i
\(507\) −10.3131 12.1320i −0.458022 0.538800i
\(508\) 9.80956 0.435229
\(509\) −0.607618 + 1.05243i −0.0269322 + 0.0466480i −0.879177 0.476495i \(-0.841907\pi\)
0.852245 + 0.523143i \(0.175240\pi\)
\(510\) −96.2967 + 17.6167i −4.26409 + 0.780079i
\(511\) −4.84505 8.39187i −0.214332 0.371234i
\(512\) −32.1634 −1.42144
\(513\) −14.4277 + 17.4597i −0.636998 + 0.770865i
\(514\) 56.9348 2.51128
\(515\) −8.23300 14.2600i −0.362789 0.628370i
\(516\) −28.2175 + 5.16216i −1.24221 + 0.227251i
\(517\) 0.741576 1.28445i 0.0326145 0.0564899i
\(518\) −8.91406 −0.391661
\(519\) −20.0699 23.6095i −0.880972 1.03634i
\(520\) −0.673952 + 1.16732i −0.0295547 + 0.0511903i
\(521\) −11.3543 −0.497443 −0.248721 0.968575i \(-0.580010\pi\)
−0.248721 + 0.968575i \(0.580010\pi\)
\(522\) −27.6886 22.6352i −1.21190 0.990717i
\(523\) −2.83152 4.90434i −0.123814 0.214452i 0.797455 0.603379i \(-0.206179\pi\)
−0.921269 + 0.388927i \(0.872846\pi\)
\(524\) −19.6738 + 34.0761i −0.859455 + 1.48862i
\(525\) 14.2401 39.9184i 0.621490 1.74218i
\(526\) −1.21077 + 2.09711i −0.0527919 + 0.0914383i
\(527\) 5.15616 0.224606
\(528\) 8.73696 1.59835i 0.380227 0.0695594i
\(529\) 9.55456 + 16.5490i 0.415416 + 0.719521i
\(530\) 31.7435 54.9813i 1.37885 2.38824i
\(531\) 2.84496 1.07696i 0.123461 0.0467363i
\(532\) −13.4356 11.5441i −0.582508 0.500501i
\(533\) −7.41116 + 12.8365i −0.321013 + 0.556011i
\(534\) 1.33821 3.75133i 0.0579101 0.162336i
\(535\) 0.789481 0.0341322
\(536\) 1.06487 1.84441i 0.0459954 0.0796664i
\(537\) −0.362039 + 0.0662320i −0.0156231 + 0.00285812i
\(538\) 14.1305 0.609209
\(539\) −4.26957 −0.183903
\(540\) 0.870636 + 45.2850i 0.0374662 + 1.94876i
\(541\) 21.0798 + 36.5114i 0.906293 + 1.56975i 0.819172 + 0.573549i \(0.194434\pi\)
0.0871219 + 0.996198i \(0.472233\pi\)
\(542\) 25.0464 1.07583
\(543\) −17.9296 21.0918i −0.769435 0.905134i
\(544\) −26.9502 46.6791i −1.15548 2.00135i
\(545\) 4.55378 7.88738i 0.195063 0.337858i
\(546\) −4.47832 + 12.5538i −0.191654 + 0.537252i
\(547\) 10.4784 0.448023 0.224011 0.974587i \(-0.428085\pi\)
0.224011 + 0.974587i \(0.428085\pi\)
\(548\) −5.90111 + 10.2210i −0.252083 + 0.436621i
\(549\) 0.931719 0.352704i 0.0397648 0.0150531i
\(550\) −33.9050 −1.44571
\(551\) −24.2703 + 8.51370i −1.03395 + 0.362696i
\(552\) 0.189387 0.530896i 0.00806084 0.0225964i
\(553\) 10.1063 0.429762
\(554\) 39.4145 1.67456
\(555\) 16.1244 2.94983i 0.684444 0.125213i
\(556\) 7.45555 + 12.9134i 0.316186 + 0.547650i
\(557\) −18.3181 31.7279i −0.776164 1.34436i −0.934138 0.356913i \(-0.883829\pi\)
0.157973 0.987443i \(-0.449504\pi\)
\(558\) 0.753165 4.61662i 0.0318840 0.195437i
\(559\) 15.5230 0.656553
\(560\) 31.3091 1.32305
\(561\) 10.0348 + 11.8046i 0.423670 + 0.498390i
\(562\) −24.3948 42.2531i −1.02903 1.78234i
\(563\) 4.29307 + 7.43582i 0.180931 + 0.313382i 0.942198 0.335057i \(-0.108755\pi\)
−0.761267 + 0.648439i \(0.775422\pi\)
\(564\) −1.34195 + 3.76181i −0.0565063 + 0.158401i
\(565\) −26.5133 45.9224i −1.11542 1.93197i
\(566\) 21.4235 + 37.1065i 0.900495 + 1.55970i
\(567\) 3.49343 + 17.2191i 0.146710 + 0.723135i
\(568\) −0.299097 + 0.518050i −0.0125498 + 0.0217369i
\(569\) −2.90516 + 5.03189i −0.121791 + 0.210948i −0.920474 0.390804i \(-0.872197\pi\)
0.798683 + 0.601752i \(0.205530\pi\)
\(570\) 55.1438 + 32.2269i 2.30972 + 1.34984i
\(571\) 4.11198 + 7.12216i 0.172081 + 0.298053i 0.939147 0.343515i \(-0.111618\pi\)
−0.767066 + 0.641568i \(0.778284\pi\)
\(572\) 5.43798 0.227373
\(573\) −7.99544 + 22.4131i −0.334014 + 0.936321i
\(574\) −29.9628 −1.25062
\(575\) 12.3621 21.4117i 0.515534 0.892930i
\(576\) −24.2396 + 9.17595i −1.00998 + 0.382331i
\(577\) −24.3169 −1.01232 −0.506162 0.862438i \(-0.668936\pi\)
−0.506162 + 0.862438i \(0.668936\pi\)
\(578\) 27.9157 48.3514i 1.16114 2.01115i
\(579\) 24.6807 4.51513i 1.02570 0.187642i
\(580\) −25.7170 + 44.5432i −1.06784 + 1.84956i
\(581\) 12.3127 + 21.3263i 0.510818 + 0.884763i
\(582\) 4.41925 12.3882i 0.183184 0.513508i
\(583\) −10.0478 −0.416138
\(584\) 0.409456 0.709198i 0.0169434 0.0293468i
\(585\) 3.94644 24.1902i 0.163165 1.00014i
\(586\) −15.8437 + 27.4422i −0.654499 + 1.13363i
\(587\) 0.607944 + 1.05299i 0.0250925 + 0.0434615i 0.878299 0.478112i \(-0.158679\pi\)
−0.853206 + 0.521573i \(0.825345\pi\)
\(588\) 11.3099 2.06905i 0.466411 0.0853260i
\(589\) −2.55158 2.19236i −0.105136 0.0903347i
\(590\) −4.28910 7.42894i −0.176579 0.305845i
\(591\) −28.3986 + 5.19528i −1.16816 + 0.213705i
\(592\) 4.32812 + 7.49652i 0.177885 + 0.308105i
\(593\) 5.40934 + 9.36925i 0.222135 + 0.384749i 0.955456 0.295134i \(-0.0953641\pi\)
−0.733321 + 0.679882i \(0.762031\pi\)
\(594\) 12.0351 7.26047i 0.493808 0.297901i
\(595\) 27.3073 + 47.2976i 1.11949 + 1.93901i
\(596\) 18.7671 32.5056i 0.768732 1.33148i
\(597\) 11.2129 + 13.1905i 0.458915 + 0.539850i
\(598\) −3.88769 + 6.73368i −0.158980 + 0.275361i
\(599\) −22.9328 + 39.7207i −0.937007 + 1.62294i −0.165992 + 0.986127i \(0.553083\pi\)
−0.771015 + 0.636817i \(0.780251\pi\)
\(600\) 3.52326 0.644551i 0.143837 0.0263137i
\(601\) −14.2594 + 24.6980i −0.581652 + 1.00745i 0.413632 + 0.910444i \(0.364260\pi\)
−0.995284 + 0.0970064i \(0.969073\pi\)
\(602\) 15.6896 + 27.1752i 0.639461 + 1.10758i
\(603\) −6.23554 + 38.2215i −0.253931 + 1.55650i
\(604\) −6.74593 11.6843i −0.274488 0.475427i
\(605\) −19.2774 33.3894i −0.783736 1.35747i
\(606\) 18.7816 + 22.0939i 0.762949 + 0.897504i
\(607\) 14.8706 + 25.7567i 0.603580 + 1.04543i 0.992274 + 0.124065i \(0.0395931\pi\)
−0.388694 + 0.921367i \(0.627074\pi\)
\(608\) −6.51104 + 34.5586i −0.264058 + 1.40154i
\(609\) −6.70370 + 18.7921i −0.271648 + 0.761493i
\(610\) −1.40467 2.43297i −0.0568736 0.0985080i
\(611\) 1.08065 1.87175i 0.0437186 0.0757228i
\(612\) −32.3023 26.4068i −1.30574 1.06743i
\(613\) −15.9215 + 27.5769i −0.643065 + 1.11382i 0.341680 + 0.939816i \(0.389004\pi\)
−0.984745 + 0.174005i \(0.944329\pi\)
\(614\) 35.0648 1.41510
\(615\) 54.1991 9.91526i 2.18552 0.399822i
\(616\) 0.215617 + 0.373459i 0.00868744 + 0.0150471i
\(617\) −16.9134 + 29.2948i −0.680907 + 1.17937i 0.293797 + 0.955868i \(0.405081\pi\)
−0.974704 + 0.223498i \(0.928252\pi\)
\(618\) 4.62331 12.9602i 0.185977 0.521337i
\(619\) −2.12694 + 3.68397i −0.0854890 + 0.148071i −0.905599 0.424134i \(-0.860579\pi\)
0.820111 + 0.572205i \(0.193912\pi\)
\(620\) −6.72731 −0.270175
\(621\) 0.197019 + 10.2477i 0.00790609 + 0.411225i
\(622\) 18.4492 31.9549i 0.739745 1.28128i
\(623\) −2.22200 −0.0890227
\(624\) 12.7318 2.32918i 0.509682 0.0932419i
\(625\) 69.4352 2.77741
\(626\) −9.91764 17.1778i −0.396388 0.686565i
\(627\) 0.0533935 10.1083i 0.00213233 0.403688i
\(628\) 0.284964 0.493573i 0.0113713 0.0196957i
\(629\) −7.54983 + 13.0767i −0.301032 + 0.521402i
\(630\) 46.3372 17.5411i 1.84612 0.698852i
\(631\) −14.9006 25.8087i −0.593185 1.02743i −0.993800 0.111180i \(-0.964537\pi\)
0.400615 0.916246i \(-0.368796\pi\)
\(632\) 0.427041 + 0.739657i 0.0169868 + 0.0294220i
\(633\) −3.48244 + 0.637084i −0.138415 + 0.0253218i
\(634\) −11.4691 19.8650i −0.455496 0.788941i
\(635\) 9.86626 + 17.0889i 0.391531 + 0.678151i
\(636\) 26.6161 4.86920i 1.05540 0.193076i
\(637\) −6.22178 −0.246516
\(638\) 15.9612 0.631909
\(639\) 1.75141 10.7355i 0.0692848 0.424690i
\(640\) 2.76107 + 4.78231i 0.109141 + 0.189037i
\(641\) −7.37662 12.7767i −0.291359 0.504649i 0.682772 0.730631i \(-0.260774\pi\)
−0.974131 + 0.225983i \(0.927441\pi\)
\(642\) 0.427307 + 0.502668i 0.0168645 + 0.0198387i
\(643\) 28.8099 1.13615 0.568076 0.822976i \(-0.307688\pi\)
0.568076 + 0.822976i \(0.307688\pi\)
\(644\) −8.01607 −0.315878
\(645\) −37.3734 43.9647i −1.47158 1.73111i
\(646\) −55.5179 + 19.4750i −2.18432 + 0.766233i
\(647\) 6.79304 0.267062 0.133531 0.991045i \(-0.457368\pi\)
0.133531 + 0.991045i \(0.457368\pi\)
\(648\) −1.11262 + 0.983272i −0.0437077 + 0.0386266i
\(649\) −0.678817 + 1.17575i −0.0266459 + 0.0461521i
\(650\) −49.4077 −1.93793
\(651\) −2.56701 + 0.469613i −0.100609 + 0.0184056i
\(652\) 8.34486 14.4537i 0.326810 0.566051i
\(653\) 1.09463 + 1.89596i 0.0428363 + 0.0741946i 0.886649 0.462444i \(-0.153027\pi\)
−0.843812 + 0.536638i \(0.819694\pi\)
\(654\) 7.48669 1.36963i 0.292753 0.0535566i
\(655\) −79.1502 −3.09265
\(656\) 14.5481 + 25.1981i 0.568008 + 0.983819i
\(657\) −2.39764 + 14.6966i −0.0935408 + 0.573370i
\(658\) 4.36901 0.170322
\(659\) 27.2122 1.06004 0.530019 0.847986i \(-0.322185\pi\)
0.530019 + 0.847986i \(0.322185\pi\)
\(660\) −13.0926 15.4016i −0.509627 0.599506i
\(661\) 1.30114 2.25364i 0.0506086 0.0876566i −0.839611 0.543188i \(-0.817217\pi\)
0.890220 + 0.455531i \(0.150551\pi\)
\(662\) 9.35056 0.363420
\(663\) 14.6231 + 17.2021i 0.567915 + 0.668074i
\(664\) −1.04055 + 1.80229i −0.0403812 + 0.0699423i
\(665\) 6.59731 35.0165i 0.255833 1.35788i
\(666\) 10.6055 + 8.66995i 0.410957 + 0.335954i
\(667\) −5.81958 + 10.0798i −0.225335 + 0.390292i
\(668\) 21.5941 + 37.4020i 0.835499 + 1.44713i
\(669\) −29.4485 34.6421i −1.13854 1.33934i
\(670\) 109.207 4.21905
\(671\) −0.222312 + 0.385055i −0.00858225 + 0.0148649i
\(672\) 17.6687 + 20.7848i 0.681585 + 0.801790i
\(673\) 15.2685 26.4458i 0.588558 1.01941i −0.405863 0.913934i \(-0.633029\pi\)
0.994422 0.105479i \(-0.0336375\pi\)
\(674\) −14.8135 25.6577i −0.570594 0.988298i
\(675\) −55.7675 + 33.6430i −2.14649 + 1.29492i
\(676\) −19.1372 −0.736044
\(677\) −8.89435 + 15.4055i −0.341838 + 0.592080i −0.984774 0.173839i \(-0.944383\pi\)
0.642936 + 0.765920i \(0.277716\pi\)
\(678\) 14.8888 41.7368i 0.571800 1.60289i
\(679\) −7.33784 −0.281601
\(680\) −2.30774 + 3.99713i −0.0884979 + 0.153283i
\(681\) 14.4586 40.5310i 0.554056 1.55315i
\(682\) 1.04382 + 1.80795i 0.0399699 + 0.0692299i
\(683\) −35.2754 −1.34978 −0.674888 0.737920i \(-0.735808\pi\)
−0.674888 + 0.737920i \(0.735808\pi\)
\(684\) 4.75710 + 26.8024i 0.181892 + 1.02481i
\(685\) −23.7409 −0.907092
\(686\) −20.0929 34.8018i −0.767149 1.32874i
\(687\) 30.6249 + 36.0259i 1.16841 + 1.37448i
\(688\) 15.2358 26.3892i 0.580861 1.00608i
\(689\) −14.6421 −0.557818
\(690\) 28.4314 5.20128i 1.08236 0.198009i
\(691\) 1.14295 1.97964i 0.0434797 0.0753090i −0.843467 0.537182i \(-0.819489\pi\)
0.886946 + 0.461873i \(0.152822\pi\)
\(692\) −37.2420 −1.41573
\(693\) −6.07101 4.96300i −0.230619 0.188529i
\(694\) 30.4248 + 52.6973i 1.15491 + 2.00036i
\(695\) −14.9973 + 25.9761i −0.568879 + 0.985328i
\(696\) −1.65862 + 0.303430i −0.0628697 + 0.0115015i
\(697\) −25.3773 + 43.9547i −0.961232 + 1.66490i
\(698\) 5.62775 0.213013
\(699\) −10.3373 + 28.9780i −0.390993 + 1.09605i
\(700\) −25.4686 44.1128i −0.962621 1.66731i
\(701\) −1.58169 + 2.73956i −0.0597395 + 0.103472i −0.894348 0.447371i \(-0.852360\pi\)
0.834609 + 0.550843i \(0.185694\pi\)
\(702\) 17.5381 10.5802i 0.661933 0.399326i
\(703\) 9.29622 3.26100i 0.350614 0.122991i
\(704\) 5.78366 10.0176i 0.217980 0.377552i
\(705\) −7.90301 + 1.44579i −0.297645 + 0.0544516i
\(706\) 20.4004 0.767779
\(707\) 8.08886 14.0103i 0.304213 0.526912i
\(708\) 1.22838 3.44345i 0.0461655 0.129413i
\(709\) −13.5961 −0.510612 −0.255306 0.966860i \(-0.582176\pi\)
−0.255306 + 0.966860i \(0.582176\pi\)
\(710\) −30.6737 −1.15116
\(711\) −12.0240 9.82951i −0.450935 0.368635i
\(712\) −0.0938909 0.162624i −0.00351871 0.00609458i
\(713\) −1.52234 −0.0570122
\(714\) −15.3346 + 42.9866i −0.573884 + 1.60873i
\(715\) 5.46941 + 9.47330i 0.204544 + 0.354281i
\(716\) −0.221169 + 0.383075i −0.00826546 + 0.0143162i
\(717\) −13.3439 15.6973i −0.498338 0.586226i
\(718\) −12.6225 −0.471069
\(719\) −19.2497 + 33.3414i −0.717891 + 1.24342i 0.243943 + 0.969790i \(0.421559\pi\)
−0.961834 + 0.273634i \(0.911774\pi\)
\(720\) −37.2501 30.4517i −1.38823 1.13487i
\(721\) −7.67666 −0.285894
\(722\) 35.7542 + 13.9684i 1.33063 + 0.519851i
\(723\) 3.30418 0.604472i 0.122884 0.0224806i
\(724\) −33.2704 −1.23649
\(725\) −73.9596 −2.74679
\(726\) 10.8254 30.3461i 0.401767 1.12625i
\(727\) −25.9243 44.9022i −0.961478 1.66533i −0.718794 0.695224i \(-0.755305\pi\)
−0.242685 0.970105i \(-0.578028\pi\)
\(728\) 0.314205 + 0.544219i 0.0116452 + 0.0201701i
\(729\) 12.5913 23.8843i 0.466343 0.884604i
\(730\) 41.9916 1.55418
\(731\) 53.1538 1.96596
\(732\) 0.402294 1.12773i 0.0148692 0.0416819i
\(733\) 12.1069 + 20.9698i 0.447179 + 0.774536i 0.998201 0.0599543i \(-0.0190955\pi\)
−0.551023 + 0.834490i \(0.685762\pi\)
\(734\) 2.91967 + 5.05701i 0.107767 + 0.186658i
\(735\) 14.9796 + 17.6215i 0.552533 + 0.649979i
\(736\) 7.95698 + 13.7819i 0.293298 + 0.508007i
\(737\) −8.64190 14.9682i −0.318328 0.551361i
\(738\) 35.6484 + 29.1423i 1.31224 + 1.07274i
\(739\) −5.83272 + 10.1026i −0.214560 + 0.371629i −0.953136 0.302541i \(-0.902165\pi\)
0.738576 + 0.674170i \(0.235498\pi\)
\(740\) 9.85037 17.0613i 0.362107 0.627187i
\(741\) 0.0778072 14.7303i 0.00285832 0.541130i
\(742\) −14.7992 25.6330i −0.543296 0.941017i
\(743\) −16.0857 −0.590127 −0.295063 0.955478i \(-0.595341\pi\)
−0.295063 + 0.955478i \(0.595341\pi\)
\(744\) −0.142839 0.168031i −0.00523675 0.00616031i
\(745\) 75.5025 2.76620
\(746\) 14.8771 25.7679i 0.544690 0.943431i
\(747\) 6.09313 37.3486i 0.222936 1.36651i
\(748\) 18.6207 0.680841
\(749\) 0.184033 0.318755i 0.00672442 0.0116470i
\(750\) 71.5026 + 84.1130i 2.61091 + 3.07137i
\(751\) 11.5670 20.0346i 0.422084 0.731071i −0.574059 0.818814i \(-0.694632\pi\)
0.996143 + 0.0877427i \(0.0279653\pi\)
\(752\) −2.12132 3.67424i −0.0773567 0.133986i
\(753\) 19.5154 + 22.9572i 0.711180 + 0.836606i
\(754\) 23.2592 0.847052
\(755\) 13.5698 23.5036i 0.493857 0.855385i
\(756\) 18.4869 + 10.2047i 0.672362 + 0.371142i
\(757\) 3.49346 6.05085i 0.126972 0.219922i −0.795530 0.605914i \(-0.792807\pi\)
0.922502 + 0.385992i \(0.126141\pi\)
\(758\) 11.8796 + 20.5760i 0.431485 + 0.747354i
\(759\) −2.96275 3.48527i −0.107541 0.126507i
\(760\) 2.84156 0.996782i 0.103074 0.0361571i
\(761\) −6.33130 10.9661i −0.229510 0.397522i 0.728153 0.685414i \(-0.240379\pi\)
−0.957663 + 0.287892i \(0.907046\pi\)
\(762\) −5.54048 + 15.5313i −0.200710 + 0.562639i
\(763\) −2.12303 3.67720i −0.0768589 0.133124i
\(764\) 14.2999 + 24.7682i 0.517352 + 0.896080i
\(765\) 13.5134 82.8320i 0.488578 2.99480i
\(766\) −31.2202 54.0749i −1.12803 1.95381i
\(767\) −0.989200 + 1.71334i −0.0357179 + 0.0618653i
\(768\) 8.50499 23.8415i 0.306898 0.860307i
\(769\) 14.6931 25.4492i 0.529847 0.917722i −0.469547 0.882908i \(-0.655583\pi\)
0.999394 0.0348142i \(-0.0110839\pi\)
\(770\) −11.0562 + 19.1500i −0.398439 + 0.690117i
\(771\) −16.4002 + 45.9736i −0.590638 + 1.65570i
\(772\) 15.0774 26.1148i 0.542647 0.939892i
\(773\) 15.3004 + 26.5010i 0.550316 + 0.953176i 0.998252 + 0.0591096i \(0.0188261\pi\)
−0.447935 + 0.894066i \(0.647841\pi\)
\(774\) 7.76423 47.5918i 0.279079 1.71065i