Properties

Label 138.2.e.b.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.b.55.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.544078 + 3.78415i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.20217 + 2.63238i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +O(q^{10})\) \(q+(-0.959493 - 0.281733i) q^{2} +(0.654861 - 0.755750i) q^{3} +(0.841254 + 0.540641i) q^{4} +(-0.544078 + 3.78415i) q^{5} +(-0.841254 + 0.540641i) q^{6} +(1.20217 + 2.63238i) q^{7} +(-0.654861 - 0.755750i) q^{8} +(-0.142315 - 0.989821i) q^{9} +(1.58816 - 3.47758i) q^{10} +(1.51662 - 0.445319i) q^{11} +(0.959493 - 0.281733i) q^{12} +(1.95653 - 4.28419i) q^{13} +(-0.411844 - 2.86444i) q^{14} +(2.50357 + 2.88927i) q^{15} +(0.415415 + 0.909632i) q^{16} +(-3.98569 + 2.56145i) q^{17} +(-0.142315 + 0.989821i) q^{18} +(1.80728 + 1.16147i) q^{19} +(-2.50357 + 2.88927i) q^{20} +(2.77667 + 0.815304i) q^{21} -1.58065 q^{22} +(2.88909 - 3.82794i) q^{23} -1.00000 q^{24} +(-9.22627 - 2.70908i) q^{25} +(-3.08427 + 3.55944i) q^{26} +(-0.841254 - 0.540641i) q^{27} +(-0.411844 + 2.86444i) q^{28} +(-0.495008 + 0.318122i) q^{29} +(-1.58816 - 3.47758i) q^{30} +(-0.111819 - 0.129046i) q^{31} +(-0.142315 - 0.989821i) q^{32} +(0.656624 - 1.43781i) q^{33} +(4.54589 - 1.33479i) q^{34} +(-10.6154 + 3.11696i) q^{35} +(0.415415 - 0.909632i) q^{36} +(-0.685789 - 4.76977i) q^{37} +(-1.40685 - 1.62359i) q^{38} +(-1.95653 - 4.28419i) q^{39} +(3.21616 - 2.06690i) q^{40} +(1.47968 - 10.2914i) q^{41} +(-2.43450 - 1.56456i) q^{42} +(-8.03389 + 9.27160i) q^{43} +(1.51662 + 0.445319i) q^{44} +3.82306 q^{45} +(-3.85052 + 2.85894i) q^{46} +5.45520 q^{47} +(0.959493 + 0.281733i) q^{48} +(-0.900187 + 1.03887i) q^{49} +(8.08931 + 5.19868i) q^{50} +(-0.674259 + 4.68958i) q^{51} +(3.96215 - 2.54632i) q^{52} +(-4.28201 - 9.37628i) q^{53} +(0.654861 + 0.755750i) q^{54} +(0.859995 + 5.98139i) q^{55} +(1.20217 - 2.63238i) q^{56} +(2.06130 - 0.605253i) q^{57} +(0.564582 - 0.165776i) q^{58} +(-0.790420 + 1.73078i) q^{59} +(0.544078 + 3.78415i) q^{60} +(8.28691 + 9.56361i) q^{61} +(0.0709331 + 0.155322i) q^{62} +(2.43450 - 1.56456i) q^{63} +(-0.142315 + 0.989821i) q^{64} +(15.1475 + 9.73472i) q^{65} +(-1.03510 + 1.19457i) q^{66} +(-5.63806 - 1.65548i) q^{67} -4.73780 q^{68} +(-1.00102 - 4.69020i) q^{69} +11.0635 q^{70} +(11.3427 + 3.33053i) q^{71} +(-0.654861 + 0.755750i) q^{72} +(-11.1159 - 7.14378i) q^{73} +(-0.685789 + 4.76977i) q^{74} +(-8.08931 + 5.19868i) q^{75} +(0.892446 + 1.95418i) q^{76} +(2.99548 + 3.45697i) q^{77} +(0.670276 + 4.66187i) q^{78} +(4.85393 - 10.6286i) q^{79} +(-3.66820 + 1.07708i) q^{80} +(-0.959493 + 0.281733i) q^{81} +(-4.31917 + 9.45767i) q^{82} +(0.0161168 + 0.112095i) q^{83} +(1.89510 + 2.18706i) q^{84} +(-7.52436 - 16.4761i) q^{85} +(10.3206 - 6.63263i) q^{86} +(-0.0837405 + 0.582428i) q^{87} +(-1.32972 - 0.854562i) q^{88} +(8.01460 - 9.24934i) q^{89} +(-3.66820 - 1.07708i) q^{90} +13.6297 q^{91} +(4.50000 - 1.65831i) q^{92} -0.170752 q^{93} +(-5.23423 - 1.53691i) q^{94} +(-5.37848 + 6.20710i) q^{95} +(-0.841254 - 0.540641i) q^{96} +(-0.124317 + 0.864646i) q^{97} +(1.15641 - 0.743178i) q^{98} +(-0.656624 - 1.43781i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 10 q - q^{2} + q^{3} - q^{4} - 2 q^{5} + q^{6} - q^{8} - q^{9} + 9 q^{10} + 11 q^{11} + q^{12} + 13 q^{13} - 11 q^{14} + 13 q^{15} - q^{16} - 24 q^{17} - q^{18} - 14 q^{19} - 13 q^{20} + 11 q^{21} + 22 q^{22} - 10 q^{23} - 10 q^{24} - 43 q^{25} - 9 q^{26} + q^{27} - 11 q^{28} + 13 q^{29} - 9 q^{30} + 8 q^{31} - q^{32} + 22 q^{33} + 9 q^{34} - q^{36} - 13 q^{37} - 3 q^{38} - 13 q^{39} + 9 q^{40} - 10 q^{41} - 8 q^{43} + 11 q^{44} - 2 q^{45} + q^{46} - 8 q^{47} + q^{48} + 29 q^{49} + 23 q^{50} - 9 q^{51} + 2 q^{52} - 35 q^{53} + q^{54} - 11 q^{55} + 3 q^{57} + 13 q^{58} + 37 q^{59} + 2 q^{60} - 2 q^{61} + 8 q^{62} - q^{64} + 37 q^{65} + 14 q^{67} - 2 q^{68} - q^{69} - 22 q^{70} + 44 q^{71} - q^{72} - 49 q^{73} - 13 q^{74} - 23 q^{75} + 8 q^{76} + 44 q^{77} + 20 q^{78} - 8 q^{79} - 2 q^{80} - q^{81} + 12 q^{82} - 17 q^{83} - 11 q^{84} - 37 q^{85} + 14 q^{86} - 2 q^{87} + 59 q^{89} - 2 q^{90} + 66 q^{91} + 45 q^{92} + 36 q^{93} - 19 q^{94} - 28 q^{95} + q^{96} - 21 q^{97} - 26 q^{98} - 22 q^{99}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −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
\(5\) −0.544078 + 3.78415i −0.243319 + 1.69232i 0.391915 + 0.920001i \(0.371813\pi\)
−0.635234 + 0.772320i \(0.719096\pi\)
\(6\) −0.841254 + 0.540641i −0.343440 + 0.220716i
\(7\) 1.20217 + 2.63238i 0.454376 + 0.994946i 0.988733 + 0.149687i \(0.0478265\pi\)
−0.534357 + 0.845259i \(0.679446\pi\)
\(8\) −0.654861 0.755750i −0.231528 0.267198i
\(9\) −0.142315 0.989821i −0.0474383 0.329940i
\(10\) 1.58816 3.47758i 0.502219 1.09971i
\(11\) 1.51662 0.445319i 0.457278 0.134269i −0.0449780 0.998988i \(-0.514322\pi\)
0.502256 + 0.864719i \(0.332504\pi\)
\(12\) 0.959493 0.281733i 0.276982 0.0813292i
\(13\) 1.95653 4.28419i 0.542643 1.18822i −0.417491 0.908681i \(-0.637091\pi\)
0.960134 0.279541i \(-0.0901822\pi\)
\(14\) −0.411844 2.86444i −0.110070 0.765553i
\(15\) 2.50357 + 2.88927i 0.646419 + 0.746008i
\(16\) 0.415415 + 0.909632i 0.103854 + 0.227408i
\(17\) −3.98569 + 2.56145i −0.966672 + 0.621242i −0.925837 0.377924i \(-0.876638\pi\)
−0.0408352 + 0.999166i \(0.513002\pi\)
\(18\) −0.142315 + 0.989821i −0.0335439 + 0.233303i
\(19\) 1.80728 + 1.16147i 0.414619 + 0.266460i 0.731278 0.682080i \(-0.238924\pi\)
−0.316658 + 0.948540i \(0.602561\pi\)
\(20\) −2.50357 + 2.88927i −0.559815 + 0.646062i
\(21\) 2.77667 + 0.815304i 0.605919 + 0.177914i
\(22\) −1.58065 −0.336995
\(23\) 2.88909 3.82794i 0.602417 0.798182i
\(24\) −1.00000 −0.204124
\(25\) −9.22627 2.70908i −1.84525 0.541815i
\(26\) −3.08427 + 3.55944i −0.604875 + 0.698063i
\(27\) −0.841254 0.540641i −0.161899 0.104046i
\(28\) −0.411844 + 2.86444i −0.0778312 + 0.541328i
\(29\) −0.495008 + 0.318122i −0.0919207 + 0.0590739i −0.585794 0.810460i \(-0.699217\pi\)
0.493873 + 0.869534i \(0.335581\pi\)
\(30\) −1.58816 3.47758i −0.289956 0.634916i
\(31\) −0.111819 0.129046i −0.0200833 0.0231774i 0.745619 0.666372i \(-0.232154\pi\)
−0.765702 + 0.643195i \(0.777608\pi\)
\(32\) −0.142315 0.989821i −0.0251579 0.174977i
\(33\) 0.656624 1.43781i 0.114304 0.250290i
\(34\) 4.54589 1.33479i 0.779613 0.228915i
\(35\) −10.6154 + 3.11696i −1.79433 + 0.526862i
\(36\) 0.415415 0.909632i 0.0692358 0.151605i
\(37\) −0.685789 4.76977i −0.112743 0.784145i −0.965231 0.261398i \(-0.915816\pi\)
0.852488 0.522747i \(-0.175093\pi\)
\(38\) −1.40685 1.62359i −0.228222 0.263382i
\(39\) −1.95653 4.28419i −0.313295 0.686020i
\(40\) 3.21616 2.06690i 0.508520 0.326806i
\(41\) 1.47968 10.2914i 0.231088 1.60725i −0.462326 0.886710i \(-0.652985\pi\)
0.693414 0.720540i \(-0.256106\pi\)
\(42\) −2.43450 1.56456i −0.375651 0.241416i
\(43\) −8.03389 + 9.27160i −1.22516 + 1.41391i −0.345417 + 0.938449i \(0.612262\pi\)
−0.879739 + 0.475456i \(0.842283\pi\)
\(44\) 1.51662 + 0.445319i 0.228639 + 0.0671344i
\(45\) 3.82306 0.569908
\(46\) −3.85052 + 2.85894i −0.567728 + 0.421527i
\(47\) 5.45520 0.795723 0.397862 0.917445i \(-0.369752\pi\)
0.397862 + 0.917445i \(0.369752\pi\)
\(48\) 0.959493 + 0.281733i 0.138491 + 0.0406646i
\(49\) −0.900187 + 1.03887i −0.128598 + 0.148410i
\(50\) 8.08931 + 5.19868i 1.14400 + 0.735205i
\(51\) −0.674259 + 4.68958i −0.0944152 + 0.656672i
\(52\) 3.96215 2.54632i 0.549451 0.353110i
\(53\) −4.28201 9.37628i −0.588179 1.28793i −0.936537 0.350570i \(-0.885988\pi\)
0.348358 0.937362i \(-0.386739\pi\)
\(54\) 0.654861 + 0.755750i 0.0891153 + 0.102844i
\(55\) 0.859995 + 5.98139i 0.115962 + 0.806531i
\(56\) 1.20217 2.63238i 0.160646 0.351766i
\(57\) 2.06130 0.605253i 0.273026 0.0801677i
\(58\) 0.564582 0.165776i 0.0741333 0.0217675i
\(59\) −0.790420 + 1.73078i −0.102904 + 0.225328i −0.954080 0.299552i \(-0.903163\pi\)
0.851176 + 0.524881i \(0.175890\pi\)
\(60\) 0.544078 + 3.78415i 0.0702402 + 0.488531i
\(61\) 8.28691 + 9.56361i 1.06103 + 1.22449i 0.973585 + 0.228325i \(0.0733250\pi\)
0.0874457 + 0.996169i \(0.472130\pi\)
\(62\) 0.0709331 + 0.155322i 0.00900851 + 0.0197259i
\(63\) 2.43450 1.56456i 0.306718 0.197116i
\(64\) −0.142315 + 0.989821i −0.0177894 + 0.123728i
\(65\) 15.1475 + 9.73472i 1.87882 + 1.20744i
\(66\) −1.03510 + 1.19457i −0.127412 + 0.147042i
\(67\) −5.63806 1.65548i −0.688799 0.202250i −0.0814412 0.996678i \(-0.525952\pi\)
−0.607358 + 0.794429i \(0.707770\pi\)
\(68\) −4.73780 −0.574543
\(69\) −1.00102 4.69020i −0.120508 0.564634i
\(70\) 11.0635 1.32234
\(71\) 11.3427 + 3.33053i 1.34614 + 0.395261i 0.873855 0.486187i \(-0.161612\pi\)
0.472281 + 0.881448i \(0.343431\pi\)
\(72\) −0.654861 + 0.755750i −0.0771761 + 0.0890659i
\(73\) −11.1159 7.14378i −1.30102 0.836116i −0.307699 0.951484i \(-0.599559\pi\)
−0.993323 + 0.115368i \(0.963195\pi\)
\(74\) −0.685789 + 4.76977i −0.0797213 + 0.554474i
\(75\) −8.08931 + 5.19868i −0.934073 + 0.600292i
\(76\) 0.892446 + 1.95418i 0.102371 + 0.224160i
\(77\) 2.99548 + 3.45697i 0.341366 + 0.393958i
\(78\) 0.670276 + 4.66187i 0.0758938 + 0.527853i
\(79\) 4.85393 10.6286i 0.546110 1.19581i −0.412465 0.910974i \(-0.635332\pi\)
0.958575 0.284841i \(-0.0919408\pi\)
\(80\) −3.66820 + 1.07708i −0.410117 + 0.120421i
\(81\) −0.959493 + 0.281733i −0.106610 + 0.0313036i
\(82\) −4.31917 + 9.45767i −0.476973 + 1.04442i
\(83\) 0.0161168 + 0.112095i 0.00176905 + 0.0123040i 0.990687 0.136160i \(-0.0434761\pi\)
−0.988918 + 0.148464i \(0.952567\pi\)
\(84\) 1.89510 + 2.18706i 0.206772 + 0.238628i
\(85\) −7.52436 16.4761i −0.816132 1.78708i
\(86\) 10.3206 6.63263i 1.11290 0.715214i
\(87\) −0.0837405 + 0.582428i −0.00897793 + 0.0624429i
\(88\) −1.32972 0.854562i −0.141749 0.0910966i
\(89\) 8.01460 9.24934i 0.849546 0.980428i −0.150421 0.988622i \(-0.548063\pi\)
0.999966 + 0.00819403i \(0.00260827\pi\)
\(90\) −3.66820 1.07708i −0.386662 0.113534i
\(91\) 13.6297 1.42878
\(92\) 4.50000 1.65831i 0.469157 0.172891i
\(93\) −0.170752 −0.0177062
\(94\) −5.23423 1.53691i −0.539869 0.158520i
\(95\) −5.37848 + 6.20710i −0.551820 + 0.636835i
\(96\) −0.841254 0.540641i −0.0858601 0.0551789i
\(97\) −0.124317 + 0.864646i −0.0126225 + 0.0877915i −0.995159 0.0982791i \(-0.968666\pi\)
0.982536 + 0.186071i \(0.0595753\pi\)
\(98\) 1.15641 0.743178i 0.116815 0.0750723i
\(99\) −0.656624 1.43781i −0.0659932 0.144505i
\(100\) −6.29699 7.26712i −0.629699 0.726712i
\(101\) 1.55270 + 10.7992i 0.154499 + 1.07456i 0.908558 + 0.417758i \(0.137184\pi\)
−0.754060 + 0.656806i \(0.771907\pi\)
\(102\) 1.96815 4.30965i 0.194876 0.426719i
\(103\) −3.54321 + 1.04038i −0.349123 + 0.102512i −0.451592 0.892224i \(-0.649144\pi\)
0.102469 + 0.994736i \(0.467326\pi\)
\(104\) −4.51903 + 1.32691i −0.443127 + 0.130114i
\(105\) −4.59596 + 10.0637i −0.448519 + 0.982120i
\(106\) 1.46695 + 10.2029i 0.142483 + 0.990989i
\(107\) −7.05053 8.13674i −0.681600 0.786608i 0.304544 0.952498i \(-0.401496\pi\)
−0.986144 + 0.165890i \(0.946950\pi\)
\(108\) −0.415415 0.909632i −0.0399733 0.0875294i
\(109\) −6.99382 + 4.49466i −0.669887 + 0.430510i −0.830885 0.556445i \(-0.812165\pi\)
0.160998 + 0.986955i \(0.448529\pi\)
\(110\) 0.859995 5.98139i 0.0819973 0.570304i
\(111\) −4.05384 2.60525i −0.384774 0.247279i
\(112\) −1.89510 + 2.18706i −0.179070 + 0.206658i
\(113\) −7.20846 2.11660i −0.678115 0.199113i −0.0755016 0.997146i \(-0.524056\pi\)
−0.602614 + 0.798033i \(0.705874\pi\)
\(114\) −2.14832 −0.201209
\(115\) 12.9136 + 13.0154i 1.20420 + 1.21370i
\(116\) −0.588417 −0.0546332
\(117\) −4.51903 1.32691i −0.417785 0.122673i
\(118\) 1.24602 1.43798i 0.114705 0.132377i
\(119\) −11.5342 7.41256i −1.05734 0.679508i
\(120\) 0.544078 3.78415i 0.0496673 0.345444i
\(121\) −7.15197 + 4.59629i −0.650179 + 0.417844i
\(122\) −5.25686 11.5109i −0.475933 1.04215i
\(123\) −6.80875 7.85772i −0.613924 0.708506i
\(124\) −0.0243006 0.169014i −0.00218226 0.0151779i
\(125\) 7.33057 16.0517i 0.655666 1.43571i
\(126\) −2.77667 + 0.815304i −0.247366 + 0.0726331i
\(127\) 7.28023 2.13767i 0.646016 0.189687i 0.0577198 0.998333i \(-0.481617\pi\)
0.588296 + 0.808645i \(0.299799\pi\)
\(128\) 0.415415 0.909632i 0.0367178 0.0804009i
\(129\) 1.74593 + 12.1432i 0.153721 + 1.06915i
\(130\) −11.7913 13.6079i −1.03417 1.19350i
\(131\) 7.39794 + 16.1992i 0.646361 + 1.41533i 0.894704 + 0.446660i \(0.147387\pi\)
−0.248343 + 0.968672i \(0.579886\pi\)
\(132\) 1.32972 0.854562i 0.115738 0.0743801i
\(133\) −0.884774 + 6.15374i −0.0767196 + 0.533597i
\(134\) 4.94328 + 3.17685i 0.427034 + 0.274438i
\(135\) 2.50357 2.88927i 0.215473 0.248669i
\(136\) 4.54589 + 1.33479i 0.389806 + 0.114458i
\(137\) −0.762968 −0.0651847 −0.0325924 0.999469i \(-0.510376\pi\)
−0.0325924 + 0.999469i \(0.510376\pi\)
\(138\) −0.360914 + 4.78223i −0.0307230 + 0.407091i
\(139\) 9.22612 0.782549 0.391275 0.920274i \(-0.372034\pi\)
0.391275 + 0.920274i \(0.372034\pi\)
\(140\) −10.6154 3.11696i −0.897163 0.263431i
\(141\) 3.57240 4.12277i 0.300850 0.347200i
\(142\) −9.94497 6.39124i −0.834563 0.536341i
\(143\) 1.05947 7.36877i 0.0885973 0.616207i
\(144\) 0.841254 0.540641i 0.0701045 0.0450534i
\(145\) −0.934499 2.04627i −0.0776059 0.169933i
\(146\) 8.65303 + 9.98613i 0.716130 + 0.826458i
\(147\) 0.195629 + 1.36063i 0.0161352 + 0.112223i
\(148\) 2.00181 4.38335i 0.164548 0.360309i
\(149\) −17.7421 + 5.20954i −1.45349 + 0.426782i −0.910693 0.413084i \(-0.864452\pi\)
−0.542794 + 0.839866i \(0.682633\pi\)
\(150\) 9.22627 2.70908i 0.753322 0.221195i
\(151\) −0.412045 + 0.902252i −0.0335317 + 0.0734243i −0.925657 0.378364i \(-0.876487\pi\)
0.892125 + 0.451789i \(0.149214\pi\)
\(152\) −0.305738 2.12646i −0.0247986 0.172478i
\(153\) 3.10260 + 3.58059i 0.250830 + 0.289474i
\(154\) −1.90020 4.16086i −0.153123 0.335292i
\(155\) 0.549167 0.352928i 0.0441102 0.0283479i
\(156\) 0.670276 4.66187i 0.0536650 0.373248i
\(157\) 6.82233 + 4.38445i 0.544481 + 0.349917i 0.783789 0.621027i \(-0.213284\pi\)
−0.239308 + 0.970944i \(0.576921\pi\)
\(158\) −7.65175 + 8.83059i −0.608740 + 0.702524i
\(159\) −9.89024 2.90404i −0.784347 0.230305i
\(160\) 3.82306 0.302239
\(161\) 13.5498 + 3.00335i 1.06787 + 0.236697i
\(162\) 1.00000 0.0785674
\(163\) 22.1412 + 6.50124i 1.73423 + 0.509217i 0.987731 0.156166i \(-0.0499135\pi\)
0.746502 + 0.665383i \(0.231732\pi\)
\(164\) 6.80875 7.85772i 0.531674 0.613585i
\(165\) 5.08361 + 3.26704i 0.395759 + 0.254339i
\(166\) 0.0161168 0.112095i 0.00125091 0.00870026i
\(167\) −4.44588 + 2.85719i −0.344032 + 0.221096i −0.701234 0.712931i \(-0.747367\pi\)
0.357202 + 0.934027i \(0.383731\pi\)
\(168\) −1.20217 2.63238i −0.0927492 0.203092i
\(169\) −6.01314 6.93953i −0.462549 0.533810i
\(170\) 2.57773 + 17.9285i 0.197703 + 1.37505i
\(171\) 0.892446 1.95418i 0.0682470 0.149440i
\(172\) −11.7711 + 3.45632i −0.897541 + 0.263542i
\(173\) −13.8077 + 4.05430i −1.04978 + 0.308243i −0.760728 0.649071i \(-0.775158\pi\)
−0.289051 + 0.957314i \(0.593340\pi\)
\(174\) 0.244437 0.535243i 0.0185308 0.0405767i
\(175\) −3.96020 27.5438i −0.299363 2.08212i
\(176\) 1.03510 + 1.19457i 0.0780238 + 0.0900443i
\(177\) 0.790420 + 1.73078i 0.0594116 + 0.130093i
\(178\) −10.2958 + 6.61670i −0.771702 + 0.495943i
\(179\) −1.59394 + 11.0861i −0.119136 + 0.828612i 0.839374 + 0.543554i \(0.182922\pi\)
−0.958510 + 0.285057i \(0.907987\pi\)
\(180\) 3.21616 + 2.06690i 0.239719 + 0.154058i
\(181\) −5.75929 + 6.64657i −0.428084 + 0.494036i −0.928283 0.371875i \(-0.878715\pi\)
0.500198 + 0.865911i \(0.333260\pi\)
\(182\) −13.0776 3.83993i −0.969376 0.284634i
\(183\) 12.6545 0.935445
\(184\) −4.78492 + 0.323343i −0.352749 + 0.0238371i
\(185\) 18.4226 1.35446
\(186\) 0.163836 + 0.0481065i 0.0120130 + 0.00352734i
\(187\) −4.90411 + 5.65965i −0.358624 + 0.413874i
\(188\) 4.58921 + 2.94931i 0.334702 + 0.215100i
\(189\) 0.411844 2.86444i 0.0299572 0.208357i
\(190\) 6.90935 4.44037i 0.501257 0.322138i
\(191\) −2.63041 5.75979i −0.190330 0.416764i 0.790277 0.612750i \(-0.209937\pi\)
−0.980607 + 0.195986i \(0.937209\pi\)
\(192\) 0.654861 + 0.755750i 0.0472605 + 0.0545415i
\(193\) 0.437455 + 3.04256i 0.0314887 + 0.219009i 0.999490 0.0319370i \(-0.0101676\pi\)
−0.968001 + 0.250946i \(0.919258\pi\)
\(194\) 0.362880 0.794597i 0.0260533 0.0570488i
\(195\) 17.2765 5.07284i 1.23720 0.363274i
\(196\) −1.31894 + 0.387276i −0.0942101 + 0.0276626i
\(197\) −0.400217 + 0.876353i −0.0285143 + 0.0624376i −0.923353 0.383951i \(-0.874563\pi\)
0.894839 + 0.446389i \(0.147290\pi\)
\(198\) 0.224949 + 1.56456i 0.0159865 + 0.111188i
\(199\) −2.14354 2.47378i −0.151952 0.175362i 0.674670 0.738119i \(-0.264286\pi\)
−0.826622 + 0.562758i \(0.809740\pi\)
\(200\) 3.99454 + 8.74682i 0.282456 + 0.618493i
\(201\) −4.94328 + 3.17685i −0.348672 + 0.224078i
\(202\) 1.55270 10.7992i 0.109247 0.759831i
\(203\) −1.43250 0.920613i −0.100542 0.0646144i
\(204\) −3.10260 + 3.58059i −0.217225 + 0.250691i
\(205\) 38.1392 + 11.1987i 2.66375 + 0.782149i
\(206\) 3.69279 0.257289
\(207\) −4.20014 2.31491i −0.291930 0.160897i
\(208\) 4.70981 0.326567
\(209\) 3.25819 + 0.956690i 0.225373 + 0.0661756i
\(210\) 7.24507 8.36126i 0.499957 0.576981i
\(211\) −20.5413 13.2011i −1.41412 0.908798i −0.414119 0.910223i \(-0.635910\pi\)
−0.999999 + 0.00142429i \(0.999547\pi\)
\(212\) 1.46695 10.2029i 0.100751 0.700735i
\(213\) 9.94497 6.39124i 0.681418 0.437921i
\(214\) 4.47255 + 9.79351i 0.305737 + 0.669470i
\(215\) −30.7140 35.4459i −2.09468 2.41739i
\(216\) 0.142315 + 0.989821i 0.00968330 + 0.0673488i
\(217\) 0.205273 0.449485i 0.0139348 0.0305130i
\(218\) 7.97681 2.34220i 0.540258 0.158634i
\(219\) −12.6783 + 3.72268i −0.856720 + 0.251556i
\(220\) −2.51031 + 5.49682i −0.169245 + 0.370595i
\(221\) 3.17563 + 22.0870i 0.213616 + 1.48573i
\(222\) 3.15565 + 3.64182i 0.211793 + 0.244423i
\(223\) 6.31394 + 13.8256i 0.422813 + 0.925831i 0.994439 + 0.105316i \(0.0335856\pi\)
−0.571626 + 0.820514i \(0.693687\pi\)
\(224\) 2.43450 1.56456i 0.162662 0.104536i
\(225\) −1.36847 + 9.51790i −0.0912312 + 0.634527i
\(226\) 6.32016 + 4.06172i 0.420411 + 0.270181i
\(227\) −8.46896 + 9.77370i −0.562105 + 0.648703i −0.963660 0.267131i \(-0.913924\pi\)
0.401555 + 0.915835i \(0.368470\pi\)
\(228\) 2.06130 + 0.605253i 0.136513 + 0.0400838i
\(229\) −0.948502 −0.0626788 −0.0313394 0.999509i \(-0.509977\pi\)
−0.0313394 + 0.999509i \(0.509977\pi\)
\(230\) −8.72365 16.1264i −0.575220 1.06334i
\(231\) 4.57422 0.300962
\(232\) 0.564582 + 0.165776i 0.0370667 + 0.0108838i
\(233\) −9.13414 + 10.5414i −0.598397 + 0.690587i −0.971456 0.237220i \(-0.923764\pi\)
0.373058 + 0.927808i \(0.378309\pi\)
\(234\) 3.96215 + 2.54632i 0.259014 + 0.166458i
\(235\) −2.96806 + 20.6433i −0.193615 + 1.34662i
\(236\) −1.60067 + 1.02869i −0.104195 + 0.0669621i
\(237\) −4.85393 10.6286i −0.315297 0.690404i
\(238\) 8.97859 + 10.3618i 0.581996 + 0.671659i
\(239\) 0.347717 + 2.41842i 0.0224919 + 0.156435i 0.997972 0.0636524i \(-0.0202749\pi\)
−0.975480 + 0.220087i \(0.929366\pi\)
\(240\) −1.58816 + 3.47758i −0.102515 + 0.224477i
\(241\) −10.4235 + 3.06062i −0.671438 + 0.197152i −0.599643 0.800267i \(-0.704691\pi\)
−0.0717947 + 0.997419i \(0.522873\pi\)
\(242\) 8.15719 2.39517i 0.524364 0.153967i
\(243\) −0.415415 + 0.909632i −0.0266489 + 0.0583529i
\(244\) 1.80092 + 12.5257i 0.115292 + 0.801873i
\(245\) −3.44147 3.97166i −0.219867 0.253740i
\(246\) 4.31917 + 9.45767i 0.275380 + 0.602999i
\(247\) 8.51197 5.47031i 0.541603 0.348067i
\(248\) −0.0243006 + 0.169014i −0.00154309 + 0.0107324i
\(249\) 0.0952700 + 0.0612263i 0.00603749 + 0.00388006i
\(250\) −11.5559 + 13.3362i −0.730861 + 0.843458i
\(251\) 13.7410 + 4.03472i 0.867324 + 0.254669i 0.684977 0.728565i \(-0.259812\pi\)
0.182347 + 0.983234i \(0.441630\pi\)
\(252\) 2.89389 0.182298
\(253\) 2.67699 7.09210i 0.168301 0.445877i
\(254\) −7.58758 −0.476087
\(255\) −17.3792 5.10299i −1.08833 0.319562i
\(256\) −0.654861 + 0.755750i −0.0409288 + 0.0472343i
\(257\) −3.57053 2.29464i −0.222724 0.143136i 0.424521 0.905418i \(-0.360442\pi\)
−0.647245 + 0.762282i \(0.724079\pi\)
\(258\) 1.74593 12.1432i 0.108697 0.756003i
\(259\) 11.7314 7.53931i 0.728953 0.468470i
\(260\) 7.47991 + 16.3787i 0.463885 + 1.01577i
\(261\) 0.385331 + 0.444696i 0.0238514 + 0.0275260i
\(262\) −2.53442 17.6273i −0.156577 1.08902i
\(263\) −2.95101 + 6.46180i −0.181967 + 0.398452i −0.978530 0.206103i \(-0.933922\pi\)
0.796563 + 0.604555i \(0.206649\pi\)
\(264\) −1.51662 + 0.445319i −0.0933414 + 0.0274075i
\(265\) 37.8110 11.1023i 2.32271 0.682009i
\(266\) 2.58264 5.65520i 0.158352 0.346743i
\(267\) −1.74174 12.1141i −0.106593 0.741368i
\(268\) −3.84802 4.44085i −0.235055 0.271268i
\(269\) −3.21213 7.03359i −0.195847 0.428846i 0.786075 0.618131i \(-0.212110\pi\)
−0.981922 + 0.189286i \(0.939383\pi\)
\(270\) −3.21616 + 2.06690i −0.195729 + 0.125788i
\(271\) 0.723042 5.02887i 0.0439217 0.305482i −0.956005 0.293351i \(-0.905229\pi\)
0.999926 0.0121307i \(-0.00386142\pi\)
\(272\) −3.98569 2.56145i −0.241668 0.155311i
\(273\) 8.92555 10.3006i 0.540199 0.623423i
\(274\) 0.732062 + 0.214953i 0.0442255 + 0.0129858i
\(275\) −15.1991 −0.916543
\(276\) 1.69360 4.48684i 0.101943 0.270076i
\(277\) −15.3909 −0.924751 −0.462376 0.886684i \(-0.653003\pi\)
−0.462376 + 0.886684i \(0.653003\pi\)
\(278\) −8.85240 2.59930i −0.530932 0.155896i
\(279\) −0.111819 + 0.129046i −0.00669443 + 0.00772578i
\(280\) 9.30723 + 5.98139i 0.556213 + 0.357457i
\(281\) 0.469579 3.26599i 0.0280127 0.194833i −0.971010 0.239040i \(-0.923167\pi\)
0.999022 + 0.0442076i \(0.0140763\pi\)
\(282\) −4.58921 + 2.94931i −0.273283 + 0.175629i
\(283\) −10.7520 23.5436i −0.639141 1.39952i −0.900745 0.434349i \(-0.856979\pi\)
0.261603 0.965175i \(-0.415749\pi\)
\(284\) 7.74150 + 8.93417i 0.459374 + 0.530146i
\(285\) 1.16886 + 8.12957i 0.0692370 + 0.481554i
\(286\) −3.09258 + 6.77180i −0.182868 + 0.400425i
\(287\) 28.8697 8.47692i 1.70413 0.500377i
\(288\) −0.959493 + 0.281733i −0.0565387 + 0.0166013i
\(289\) 2.26266 4.95453i 0.133098 0.291443i
\(290\) 0.320145 + 2.22666i 0.0187996 + 0.130754i
\(291\) 0.572045 + 0.660175i 0.0335339 + 0.0387002i
\(292\) −5.48910 12.0195i −0.321225 0.703386i
\(293\) 5.48975 3.52805i 0.320715 0.206111i −0.370371 0.928884i \(-0.620769\pi\)
0.691085 + 0.722773i \(0.257133\pi\)
\(294\) 0.195629 1.36063i 0.0114093 0.0793537i
\(295\) −6.11947 3.93275i −0.356289 0.228973i
\(296\) −3.15565 + 3.64182i −0.183419 + 0.211676i
\(297\) −1.51662 0.445319i −0.0880031 0.0258401i
\(298\) 18.4911 1.07116
\(299\) −10.7471 19.8669i −0.621520 1.14893i
\(300\) −9.61578 −0.555167
\(301\) −34.0644 10.0022i −1.96344 0.576518i
\(302\) 0.649548 0.749618i 0.0373773 0.0431357i
\(303\) 9.17831 + 5.89854i 0.527280 + 0.338863i
\(304\) −0.305738 + 2.12646i −0.0175353 + 0.121961i
\(305\) −40.6988 + 26.1555i −2.33041 + 1.49766i
\(306\) −1.96815 4.30965i −0.112512 0.246367i
\(307\) −3.02366 3.48950i −0.172570 0.199156i 0.662876 0.748729i \(-0.269336\pi\)
−0.835445 + 0.549573i \(0.814790\pi\)
\(308\) 0.650980 + 4.52766i 0.0370930 + 0.257988i
\(309\) −1.53404 + 3.35908i −0.0872686 + 0.191091i
\(310\) −0.626353 + 0.183914i −0.0355745 + 0.0104456i
\(311\) 10.3050 3.02582i 0.584342 0.171578i 0.0238177 0.999716i \(-0.492418\pi\)
0.560524 + 0.828138i \(0.310600\pi\)
\(312\) −1.95653 + 4.28419i −0.110766 + 0.242545i
\(313\) −3.79837 26.4182i −0.214696 1.49325i −0.757194 0.653190i \(-0.773430\pi\)
0.542498 0.840057i \(-0.317479\pi\)
\(314\) −5.31074 6.12892i −0.299702 0.345875i
\(315\) 4.59596 + 10.0637i 0.258953 + 0.567027i
\(316\) 9.82966 6.31714i 0.552962 0.355367i
\(317\) −2.72980 + 18.9862i −0.153321 + 1.06637i 0.757282 + 0.653087i \(0.226527\pi\)
−0.910603 + 0.413282i \(0.864382\pi\)
\(318\) 8.67145 + 5.57281i 0.486271 + 0.312507i
\(319\) −0.609073 + 0.702907i −0.0341015 + 0.0393553i
\(320\) −3.66820 1.07708i −0.205058 0.0602106i
\(321\) −10.7665 −0.600925
\(322\) −12.1548 6.69910i −0.677359 0.373326i
\(323\) −10.1783 −0.566337
\(324\) −0.959493 0.281733i −0.0533052 0.0156518i
\(325\) −29.6577 + 34.2268i −1.64511 + 1.89856i
\(326\) −19.4127 12.4758i −1.07517 0.690970i
\(327\) −1.18314 + 8.22895i −0.0654280 + 0.455062i
\(328\) −8.74672 + 5.62118i −0.482957 + 0.310378i
\(329\) 6.55807 + 14.3602i 0.361558 + 0.791701i
\(330\) −3.95726 4.56692i −0.217840 0.251401i
\(331\) −1.24393 8.65169i −0.0683723 0.475540i −0.995025 0.0996221i \(-0.968237\pi\)
0.926653 0.375918i \(-0.122672\pi\)
\(332\) −0.0470448 + 0.103014i −0.00258192 + 0.00565361i
\(333\) −4.62362 + 1.35762i −0.253373 + 0.0743969i
\(334\) 5.07075 1.48891i 0.277459 0.0814694i
\(335\) 9.33214 20.4345i 0.509869 1.11646i
\(336\) 0.411844 + 2.86444i 0.0224679 + 0.156268i
\(337\) 2.13088 + 2.45916i 0.116076 + 0.133959i 0.810814 0.585304i \(-0.199025\pi\)
−0.694738 + 0.719263i \(0.744479\pi\)
\(338\) 3.81447 + 8.35253i 0.207480 + 0.454318i
\(339\) −6.32016 + 4.06172i −0.343264 + 0.220602i
\(340\) 2.57773 17.9285i 0.139797 0.972311i
\(341\) −0.227054 0.145918i −0.0122956 0.00790193i
\(342\) −1.40685 + 1.62359i −0.0760739 + 0.0877939i
\(343\) 15.6198 + 4.58639i 0.843391 + 0.247642i
\(344\) 12.2681 0.661451
\(345\) 18.2930 1.23616i 0.984863 0.0665525i
\(346\) 14.3906 0.773644
\(347\) 5.00067 + 1.46833i 0.268450 + 0.0788241i 0.413187 0.910646i \(-0.364415\pi\)
−0.144737 + 0.989470i \(0.546234\pi\)
\(348\) −0.385331 + 0.444696i −0.0206559 + 0.0238382i
\(349\) 13.0168 + 8.36539i 0.696773 + 0.447789i 0.840488 0.541830i \(-0.182268\pi\)
−0.143715 + 0.989619i \(0.545905\pi\)
\(350\) −3.96020 + 27.5438i −0.211682 + 1.47228i
\(351\) −3.96215 + 2.54632i −0.211484 + 0.135912i
\(352\) −0.656624 1.43781i −0.0349982 0.0766353i
\(353\) 1.05867 + 1.22177i 0.0563473 + 0.0650283i 0.783224 0.621740i \(-0.213574\pi\)
−0.726876 + 0.686769i \(0.759029\pi\)
\(354\) −0.270786 1.88336i −0.0143921 0.100099i
\(355\) −18.7746 + 41.1105i −0.996450 + 2.18192i
\(356\) 11.7429 3.44802i 0.622371 0.182745i
\(357\) −13.1553 + 3.86275i −0.696253 + 0.204438i
\(358\) 4.65268 10.1879i 0.245902 0.538449i
\(359\) −1.92950 13.4199i −0.101835 0.708278i −0.975218 0.221244i \(-0.928988\pi\)
0.873383 0.487033i \(-0.161921\pi\)
\(360\) −2.50357 2.88927i −0.131950 0.152278i
\(361\) −5.97562 13.0848i −0.314507 0.688673i
\(362\) 7.39855 4.75476i 0.388859 0.249905i
\(363\) −1.20990 + 8.41502i −0.0635032 + 0.441674i
\(364\) 11.4660 + 7.36877i 0.600983 + 0.386228i
\(365\) 33.0810 38.1775i 1.73154 1.99830i
\(366\) −12.1419 3.56518i −0.634666 0.186355i
\(367\) 16.2735 0.849467 0.424734 0.905318i \(-0.360368\pi\)
0.424734 + 0.905318i \(0.360368\pi\)
\(368\) 4.68219 + 1.03782i 0.244076 + 0.0541002i
\(369\) −10.3972 −0.541259
\(370\) −17.6764 5.19025i −0.918950 0.269828i
\(371\) 19.5342 22.5437i 1.01417 1.17041i
\(372\) −0.143646 0.0923157i −0.00744770 0.00478635i
\(373\) −0.992630 + 6.90390i −0.0513965 + 0.357470i 0.947852 + 0.318710i \(0.103250\pi\)
−0.999249 + 0.0387597i \(0.987659\pi\)
\(374\) 6.29997 4.04874i 0.325763 0.209355i
\(375\) −7.33057 16.0517i −0.378549 0.828907i
\(376\) −3.57240 4.12277i −0.184232 0.212615i
\(377\) 0.394402 + 2.74313i 0.0203127 + 0.141278i
\(378\) −1.20217 + 2.63238i −0.0618328 + 0.135395i
\(379\) −15.8428 + 4.65185i −0.813788 + 0.238950i −0.662039 0.749470i \(-0.730309\pi\)
−0.151749 + 0.988419i \(0.548490\pi\)
\(380\) −7.88047 + 2.31392i −0.404260 + 0.118701i
\(381\) 3.15200 6.90191i 0.161482 0.353595i
\(382\) 0.901138 + 6.26755i 0.0461062 + 0.320676i
\(383\) 14.6610 + 16.9196i 0.749140 + 0.864553i 0.994485 0.104883i \(-0.0334467\pi\)
−0.245345 + 0.969436i \(0.578901\pi\)
\(384\) −0.415415 0.909632i −0.0211991 0.0464195i
\(385\) −14.7114 + 9.45447i −0.749764 + 0.481844i
\(386\) 0.437455 3.04256i 0.0222659 0.154862i
\(387\) 10.3206 + 6.63263i 0.524624 + 0.337155i
\(388\) −0.572045 + 0.660175i −0.0290412 + 0.0335153i
\(389\) 7.23675 + 2.12490i 0.366918 + 0.107737i 0.459994 0.887922i \(-0.347852\pi\)
−0.0930757 + 0.995659i \(0.529670\pi\)
\(390\) −18.0059 −0.911763
\(391\) −1.70994 + 22.6573i −0.0864752 + 1.14583i
\(392\) 1.37462 0.0694290
\(393\) 17.0872 + 5.01725i 0.861934 + 0.253087i
\(394\) 0.630903 0.728101i 0.0317844 0.0366812i
\(395\) 37.5794 + 24.1508i 1.89082 + 1.21516i
\(396\) 0.224949 1.56456i 0.0113041 0.0786220i
\(397\) 24.1929 15.5478i 1.21421 0.780323i 0.232849 0.972513i \(-0.425195\pi\)
0.981358 + 0.192190i \(0.0615589\pi\)
\(398\) 1.35977 + 2.97748i 0.0681592 + 0.149248i
\(399\) 4.07128 + 4.69851i 0.203819 + 0.235220i
\(400\) −1.36847 9.51790i −0.0684234 0.475895i
\(401\) 2.83133 6.19974i 0.141390 0.309600i −0.825668 0.564156i \(-0.809202\pi\)
0.967058 + 0.254555i \(0.0819291\pi\)
\(402\) 5.63806 1.65548i 0.281201 0.0825680i
\(403\) −0.771635 + 0.226573i −0.0384379 + 0.0112864i
\(404\) −4.53230 + 9.92434i −0.225490 + 0.493755i
\(405\) −0.544078 3.78415i −0.0270355 0.188036i
\(406\) 1.11511 + 1.28690i 0.0553419 + 0.0638680i
\(407\) −3.16415 6.92852i −0.156841 0.343434i
\(408\) 3.98569 2.56145i 0.197321 0.126811i
\(409\) 3.95559 27.5118i 0.195592 1.36037i −0.621298 0.783574i \(-0.713394\pi\)
0.816889 0.576794i \(-0.195697\pi\)
\(410\) −33.4392 21.4901i −1.65145 1.06132i
\(411\) −0.499638 + 0.576613i −0.0246453 + 0.0284422i
\(412\) −3.54321 1.04038i −0.174561 0.0512558i
\(413\) −5.50628 −0.270947
\(414\) 3.37782 + 3.40446i 0.166011 + 0.167320i
\(415\) −0.432953 −0.0212528
\(416\) −4.51903 1.32691i −0.221564 0.0650570i
\(417\) 6.04182 6.97264i 0.295869 0.341452i
\(418\) −2.85668 1.83587i −0.139725 0.0897956i
\(419\) 2.15488 14.9875i 0.105273 0.732189i −0.866995 0.498317i \(-0.833951\pi\)
0.972268 0.233871i \(-0.0751395\pi\)
\(420\) −9.30723 + 5.98139i −0.454146 + 0.291862i
\(421\) 15.8458 + 34.6974i 0.772276 + 1.69105i 0.721576 + 0.692335i \(0.243418\pi\)
0.0507004 + 0.998714i \(0.483855\pi\)
\(422\) 15.9900 + 18.4535i 0.778382 + 0.898301i
\(423\) −0.776356 5.39968i −0.0377477 0.262541i
\(424\) −4.28201 + 9.37628i −0.207953 + 0.455353i
\(425\) 43.7122 12.8351i 2.12035 0.622592i
\(426\) −11.3427 + 3.33053i −0.549558 + 0.161365i
\(427\) −15.2128 + 33.3114i −0.736198 + 1.61205i
\(428\) −1.53223 10.6569i −0.0740629 0.515119i
\(429\) −4.87514 5.62621i −0.235374 0.271636i
\(430\) 19.4836 + 42.6632i 0.939584 + 2.05740i
\(431\) 8.59239 5.52199i 0.413881 0.265985i −0.317088 0.948396i \(-0.602705\pi\)
0.730969 + 0.682411i \(0.239069\pi\)
\(432\) 0.142315 0.989821i 0.00684713 0.0476228i
\(433\) −8.26339 5.31056i −0.397113 0.255209i 0.326810 0.945090i \(-0.394026\pi\)
−0.723923 + 0.689881i \(0.757663\pi\)
\(434\) −0.323592 + 0.373446i −0.0155329 + 0.0179260i
\(435\) −2.15843 0.633773i −0.103489 0.0303871i
\(436\) −8.31357 −0.398148
\(437\) 9.66745 3.56259i 0.462457 0.170422i
\(438\) 13.2135 0.631367
\(439\) 7.48022 + 2.19639i 0.357011 + 0.104828i 0.455320 0.890328i \(-0.349525\pi\)
−0.0983084 + 0.995156i \(0.531343\pi\)
\(440\) 3.95726 4.56692i 0.188655 0.217719i
\(441\) 1.15641 + 0.743178i 0.0550670 + 0.0353894i
\(442\) 3.17563 22.0870i 0.151049 1.05057i
\(443\) −23.7409 + 15.2573i −1.12796 + 0.724898i −0.965134 0.261756i \(-0.915698\pi\)
−0.162829 + 0.986654i \(0.552062\pi\)
\(444\) −2.00181 4.38335i −0.0950016 0.208024i
\(445\) 30.6403 + 35.3608i 1.45249 + 1.67626i
\(446\) −2.16306 15.0444i −0.102424 0.712373i
\(447\) −7.68147 + 16.8201i −0.363321 + 0.795562i
\(448\) −2.77667 + 0.815304i −0.131185 + 0.0385195i
\(449\) 12.2407 3.59418i 0.577673 0.169620i 0.0201722 0.999797i \(-0.493579\pi\)
0.557501 + 0.830176i \(0.311760\pi\)
\(450\) 3.99454 8.74682i 0.188304 0.412329i
\(451\) −2.33885 16.2671i −0.110132 0.765987i
\(452\) −4.91983 5.67778i −0.231409 0.267060i
\(453\) 0.412045 + 0.902252i 0.0193596 + 0.0423915i
\(454\) 10.8795 6.99182i 0.510599 0.328142i
\(455\) −7.41562 + 51.5767i −0.347649 + 2.41796i
\(456\) −1.80728 1.16147i −0.0846338 0.0543909i
\(457\) −6.13629 + 7.08166i −0.287044 + 0.331266i −0.880898 0.473307i \(-0.843060\pi\)
0.593854 + 0.804573i \(0.297606\pi\)
\(458\) 0.910081 + 0.267224i 0.0425253 + 0.0124865i
\(459\) 4.73780 0.221142
\(460\) 3.82694 + 17.9309i 0.178432 + 0.836033i
\(461\) −11.6569 −0.542916 −0.271458 0.962450i \(-0.587506\pi\)
−0.271458 + 0.962450i \(0.587506\pi\)
\(462\) −4.38893 1.28871i −0.204192 0.0599561i
\(463\) −8.92436 + 10.2993i −0.414750 + 0.478647i −0.924230 0.381835i \(-0.875292\pi\)
0.509480 + 0.860482i \(0.329838\pi\)
\(464\) −0.495008 0.318122i −0.0229802 0.0147685i
\(465\) 0.0929026 0.646152i 0.00430825 0.0299646i
\(466\) 11.7340 7.54097i 0.543566 0.349329i
\(467\) 2.73218 + 5.98265i 0.126430 + 0.276844i 0.962253 0.272155i \(-0.0877364\pi\)
−0.835823 + 0.548999i \(0.815009\pi\)
\(468\) −3.08427 3.55944i −0.142570 0.164535i
\(469\) −2.42003 16.8317i −0.111747 0.777215i
\(470\) 8.66371 18.9709i 0.399627 0.875062i
\(471\) 7.78122 2.28477i 0.358540 0.105277i
\(472\) 1.82565 0.536060i 0.0840324 0.0246741i
\(473\) −8.05552 + 17.6391i −0.370393 + 0.811048i
\(474\) 1.66288 + 11.5656i 0.0763788 + 0.531226i
\(475\) −13.5280 15.6121i −0.620706 0.716333i
\(476\) −5.69563 12.4717i −0.261059 0.571639i
\(477\) −8.67145 + 5.57281i −0.397039 + 0.255161i
\(478\) 0.347717 2.41842i 0.0159042 0.110616i
\(479\) 7.77358 + 4.99577i 0.355184 + 0.228263i 0.706049 0.708163i \(-0.250476\pi\)
−0.350865 + 0.936426i \(0.614112\pi\)
\(480\) 2.50357 2.88927i 0.114272 0.131877i
\(481\) −21.7764 6.39412i −0.992917 0.291547i
\(482\) 10.8636 0.494822
\(483\) 11.1430 8.27346i 0.507024 0.376455i
\(484\) −8.50156 −0.386434
\(485\) −3.20431 0.940870i −0.145500 0.0427227i
\(486\) 0.654861 0.755750i 0.0297051 0.0342815i
\(487\) −31.9883 20.5576i −1.44953 0.931556i −0.999252 0.0386669i \(-0.987689\pi\)
−0.450277 0.892889i \(-0.648675\pi\)
\(488\) 1.80092 12.5257i 0.0815237 0.567010i
\(489\) 19.4127 12.4758i 0.877873 0.564175i
\(490\) 2.18312 + 4.78036i 0.0986231 + 0.215955i
\(491\) 2.80715 + 3.23963i 0.126685 + 0.146202i 0.815548 0.578689i \(-0.196435\pi\)
−0.688863 + 0.724891i \(0.741890\pi\)
\(492\) −1.47968 10.2914i −0.0667092 0.463973i
\(493\) 1.15810 2.53588i 0.0521580 0.114210i
\(494\) −9.70834 + 2.85062i −0.436799 + 0.128256i
\(495\) 5.79812 1.70248i 0.260606 0.0765209i
\(496\) 0.0709331 0.155322i 0.00318499 0.00697416i
\(497\) 4.86866 + 33.8623i 0.218389 + 1.51893i
\(498\) −0.0741615 0.0855869i −0.00332326 0.00383524i
\(499\) −12.5785 27.5431i −0.563091 1.23300i −0.950395 0.311046i \(-0.899321\pi\)
0.387304 0.921952i \(-0.373407\pi\)
\(500\) 14.8451 9.54036i 0.663892 0.426658i
\(501\) −0.752109 + 5.23103i −0.0336018 + 0.233705i
\(502\) −12.0477 7.74258i −0.537714 0.345568i
\(503\) −7.63837 + 8.81514i −0.340578 + 0.393048i −0.900039 0.435808i \(-0.856463\pi\)
0.559462 + 0.828856i \(0.311008\pi\)
\(504\) −2.77667 0.815304i −0.123683 0.0363165i
\(505\) −41.7107 −1.85610
\(506\) −4.56663 + 6.05063i −0.203011 + 0.268983i
\(507\) −9.18232 −0.407801
\(508\) 7.28023 + 2.13767i 0.323008 + 0.0948437i
\(509\) 10.0217 11.5656i 0.444203 0.512638i −0.488854 0.872366i \(-0.662585\pi\)
0.933057 + 0.359728i \(0.117130\pi\)
\(510\) 15.2375 + 9.79257i 0.674729 + 0.433622i
\(511\) 5.44192 37.8494i 0.240736 1.67436i
\(512\) 0.841254 0.540641i 0.0371785 0.0238932i
\(513\) −0.892446 1.95418i −0.0394024 0.0862793i
\(514\) 2.77942 + 3.20763i 0.122595 + 0.141482i
\(515\) −2.00917 13.9741i −0.0885345 0.615771i
\(516\) −5.09635 + 11.1594i −0.224354 + 0.491267i
\(517\) 8.27346 2.42931i 0.363866 0.106841i
\(518\) −13.3803 + 3.92880i −0.587895 + 0.172622i
\(519\) −5.97807 + 13.0902i −0.262408 + 0.574594i
\(520\) −2.56250 17.8226i −0.112373 0.781573i
\(521\) −1.26434 1.45913i −0.0553918 0.0639256i 0.727377 0.686238i \(-0.240739\pi\)
−0.782769 + 0.622312i \(0.786194\pi\)
\(522\) −0.244437 0.535243i −0.0106987 0.0234270i
\(523\) −15.3733 + 9.87985i −0.672229 + 0.432016i −0.831729 0.555183i \(-0.812648\pi\)
0.159499 + 0.987198i \(0.449012\pi\)
\(524\) −2.53442 + 17.6273i −0.110717 + 0.770051i
\(525\) −23.4096 15.0444i −1.02168 0.656593i
\(526\) 4.65197 5.36866i 0.202836 0.234085i
\(527\) 0.776221 + 0.227919i 0.0338127 + 0.00992831i
\(528\) 1.58065 0.0687888
\(529\) −6.30632 22.1186i −0.274188 0.961676i
\(530\) −39.4072 −1.71174
\(531\) 1.82565 + 0.536060i 0.0792265 + 0.0232630i
\(532\) −4.07128 + 4.69851i −0.176512 + 0.203706i
\(533\) −41.1954 26.4747i −1.78437 1.14675i
\(534\) −1.74174 + 12.1141i −0.0753724 + 0.524227i
\(535\) 34.6266 22.2532i 1.49704 0.962089i
\(536\) 2.44101 + 5.34507i 0.105436 + 0.230872i
\(537\) 7.33448 + 8.46445i 0.316506 + 0.365268i
\(538\) 1.10043 + 7.65364i 0.0474428 + 0.329972i
\(539\) −0.902611 + 1.97644i −0.0388782 + 0.0851314i
\(540\) 3.66820 1.07708i 0.157854 0.0463501i
\(541\) −42.6494 + 12.5230i −1.83364 + 0.538405i −0.999905 0.0137620i \(-0.995619\pi\)
−0.833734 + 0.552167i \(0.813801\pi\)
\(542\) −2.11055 + 4.62146i −0.0906558 + 0.198509i
\(543\) 1.25161 + 8.70516i 0.0537118 + 0.373574i
\(544\) 3.10260 + 3.58059i 0.133023 + 0.153517i
\(545\) −13.2032 28.9111i −0.565565 1.23841i
\(546\) −11.4660 + 7.36877i −0.490701 + 0.315354i
\(547\) −2.71929 + 18.9131i −0.116268 + 0.808665i 0.845338 + 0.534232i \(0.179399\pi\)
−0.961606 + 0.274433i \(0.911510\pi\)
\(548\) −0.641849 0.412491i −0.0274184 0.0176208i
\(549\) 8.28691 9.56361i 0.353677 0.408165i
\(550\) 14.5835 + 4.28209i 0.621841 + 0.182589i
\(551\) −1.26411 −0.0538529
\(552\) −2.88909 + 3.82794i −0.122968 + 0.162928i
\(553\) 33.8138 1.43791
\(554\) 14.7675 + 4.33613i 0.627411 + 0.184224i
\(555\) 12.0642 13.9229i 0.512099 0.590993i
\(556\) 7.76151 + 4.98802i 0.329161 + 0.211539i
\(557\) 6.27333 43.6320i 0.265809 1.84875i −0.221047 0.975263i \(-0.570947\pi\)
0.486856 0.873482i \(-0.338144\pi\)
\(558\) 0.143646 0.0923157i 0.00608102 0.00390804i
\(559\) 24.0028 + 52.5589i 1.01521 + 2.22300i
\(560\) −7.24507 8.36126i −0.306160 0.353328i
\(561\) 1.06577 + 7.41256i 0.0449966 + 0.312958i
\(562\) −1.37069 + 3.00140i −0.0578192 + 0.126606i
\(563\) −37.8423 + 11.1115i −1.59486 + 0.468294i −0.954110 0.299455i \(-0.903195\pi\)
−0.640751 + 0.767749i \(0.721377\pi\)
\(564\) 5.23423 1.53691i 0.220401 0.0647155i
\(565\) 11.9315 26.1263i 0.501961 1.09914i
\(566\) 3.68348 + 25.6192i 0.154828 + 1.07685i
\(567\) −1.89510 2.18706i −0.0795866 0.0918479i
\(568\) −4.91087 10.7533i −0.206056 0.451199i
\(569\) −32.2425 + 20.7210i −1.35168 + 0.868669i −0.997779 0.0666150i \(-0.978780\pi\)
−0.353897 + 0.935284i \(0.615144\pi\)
\(570\) 1.16886 8.12957i 0.0489580 0.340510i
\(571\) −14.2767 9.17508i −0.597462 0.383965i 0.206675 0.978410i \(-0.433736\pi\)
−0.804137 + 0.594444i \(0.797372\pi\)
\(572\) 4.87514 5.62621i 0.203840 0.235244i
\(573\) −6.07551 1.78393i −0.253808 0.0745248i
\(574\) −30.0885 −1.25587
\(575\) −37.0257 + 27.4909i −1.54408 + 1.14645i
\(576\) 1.00000 0.0416667
\(577\) 27.9974 + 8.22079i 1.16555 + 0.342236i 0.806586 0.591116i \(-0.201313\pi\)
0.358962 + 0.933352i \(0.383131\pi\)
\(578\) −3.56686 + 4.11638i −0.148362 + 0.171219i
\(579\) 2.58589 + 1.66185i 0.107466 + 0.0690641i
\(580\) 0.320145 2.22666i 0.0132933 0.0924569i
\(581\) −0.275701 + 0.177183i −0.0114380 + 0.00735077i
\(582\) −0.362880 0.794597i −0.0150419 0.0329371i
\(583\) −10.6696 12.3134i −0.441890 0.509968i
\(584\) 1.88048 + 13.0790i 0.0778149 + 0.541215i
\(585\) 7.47991 16.3787i 0.309256 0.677177i
\(586\) −6.26134 + 1.83850i −0.258654 + 0.0759476i
\(587\) 14.5667 4.27716i 0.601231 0.176537i 0.0330675 0.999453i \(-0.489472\pi\)
0.568163 + 0.822916i \(0.307654\pi\)
\(588\) −0.571039 + 1.25040i −0.0235493 + 0.0515657i
\(589\) −0.0522055 0.363097i −0.00215109 0.0149612i
\(590\) 4.76361 + 5.49750i 0.196115 + 0.226328i
\(591\) 0.400217 + 0.876353i 0.0164627 + 0.0360484i
\(592\) 4.05384 2.60525i 0.166612 0.107075i
\(593\) 4.44889 30.9427i 0.182694 1.27066i −0.667665 0.744462i \(-0.732706\pi\)
0.850359 0.526203i \(-0.176385\pi\)
\(594\) 1.32972 + 0.854562i 0.0545592 + 0.0350631i
\(595\) 34.3257 39.6140i 1.40722 1.62401i
\(596\) −17.7421 5.20954i −0.726743 0.213391i
\(597\) −3.27328 −0.133967
\(598\) 4.71460 + 22.0899i 0.192794 + 0.903325i
\(599\) −30.8576 −1.26081 −0.630405 0.776267i \(-0.717111\pi\)
−0.630405 + 0.776267i \(0.717111\pi\)
\(600\) 9.22627 + 2.70908i 0.376661 + 0.110598i
\(601\) −4.34025 + 5.00891i −0.177042 + 0.204318i −0.837334 0.546691i \(-0.815887\pi\)
0.660292 + 0.751009i \(0.270433\pi\)
\(602\) 29.8666 + 19.1941i 1.21727 + 0.782294i
\(603\) −0.836254 + 5.81627i −0.0340549 + 0.236857i
\(604\) −0.834429 + 0.536255i −0.0339524 + 0.0218199i
\(605\) −13.5018 29.5648i −0.548926 1.20198i
\(606\) −7.14472 8.24544i −0.290234 0.334948i
\(607\) 3.35546 + 23.3377i 0.136194 + 0.947250i 0.937249 + 0.348660i \(0.113363\pi\)
−0.801055 + 0.598590i \(0.795728\pi\)
\(608\) 0.892446 1.95418i 0.0361934 0.0792526i
\(609\) −1.63384 + 0.479739i −0.0662066 + 0.0194400i
\(610\) 46.4191 13.6299i 1.87945 0.551857i
\(611\) 10.6732 23.3712i 0.431793 0.945496i
\(612\) 0.674259 + 4.68958i 0.0272553 + 0.189565i
\(613\) 21.3290 + 24.6150i 0.861469 + 0.994189i 0.999993 + 0.00382949i \(0.00121897\pi\)
−0.138523 + 0.990359i \(0.544236\pi\)
\(614\) 1.91808 + 4.20001i 0.0774074 + 0.169499i
\(615\) 33.4392 21.4901i 1.34840 0.866564i
\(616\) 0.650980 4.52766i 0.0262287 0.182425i
\(617\) −5.04770 3.24396i −0.203213 0.130597i 0.435077 0.900393i \(-0.356721\pi\)
−0.638289 + 0.769797i \(0.720358\pi\)
\(618\) 2.41826 2.79083i 0.0972769 0.112263i
\(619\) 12.3649 + 3.63066i 0.496986 + 0.145928i 0.520613 0.853792i \(-0.325703\pi\)
−0.0236271 + 0.999721i \(0.507521\pi\)
\(620\) 0.652796 0.0262169
\(621\) −4.50000 + 1.65831i −0.180579 + 0.0665458i
\(622\) −10.7400 −0.430636
\(623\) 33.9827 + 9.97821i 1.36149 + 0.399768i
\(624\) 3.08427 3.55944i 0.123470 0.142492i
\(625\) 16.3071 + 10.4799i 0.652284 + 0.419197i
\(626\) −3.79837 + 26.4182i −0.151813 + 1.05588i
\(627\) 2.85668 1.83587i 0.114085 0.0733178i
\(628\) 3.36890 + 7.37686i 0.134434 + 0.294369i
\(629\) 14.9508 + 17.2542i 0.596129 + 0.687970i
\(630\) −1.57450 10.9509i −0.0627297 0.436295i
\(631\) 8.90725 19.5041i 0.354592 0.776448i −0.645329 0.763904i \(-0.723280\pi\)
0.999921 0.0125435i \(-0.00399282\pi\)
\(632\) −11.2112 + 3.29192i −0.445959 + 0.130945i
\(633\) −23.4284 + 6.87919i −0.931193 + 0.273423i
\(634\) 7.96824 17.4480i 0.316459 0.692949i
\(635\) 4.12824 + 28.7125i 0.163824 + 1.13942i
\(636\) −6.75016 7.79010i −0.267661 0.308897i
\(637\) 2.68949 + 5.88915i 0.106561 + 0.233337i
\(638\) 0.782433 0.502839i 0.0309768 0.0199076i
\(639\) 1.68239 11.7013i 0.0665543 0.462895i
\(640\) 3.21616 + 2.06690i 0.127130 + 0.0817015i
\(641\) −20.1426 + 23.2459i −0.795587 + 0.918156i −0.998131 0.0611172i \(-0.980534\pi\)
0.202544 + 0.979273i \(0.435079\pi\)
\(642\) 10.3303 + 3.03326i 0.407706 + 0.119713i
\(643\) 28.7980 1.13568 0.567842 0.823138i \(-0.307778\pi\)
0.567842 + 0.823138i \(0.307778\pi\)
\(644\) 9.77506 + 9.85214i 0.385191 + 0.388229i
\(645\) −46.9016 −1.84675
\(646\) 9.76603 + 2.86757i 0.384239 + 0.112823i
\(647\) 13.6600 15.7645i 0.537031 0.619767i −0.420781 0.907162i \(-0.638244\pi\)
0.957812 + 0.287395i \(0.0927893\pi\)
\(648\) 0.841254 + 0.540641i 0.0330476 + 0.0212384i
\(649\) −0.428017 + 2.97692i −0.0168011 + 0.116854i
\(650\) 38.0991 24.4848i 1.49437 0.960373i
\(651\) −0.205273 0.449485i −0.00804528 0.0176167i
\(652\) 15.1115 + 17.4396i 0.591813 + 0.682989i
\(653\) −3.78327 26.3132i −0.148051 1.02972i −0.919405 0.393311i \(-0.871330\pi\)
0.771355 0.636406i \(-0.219580\pi\)
\(654\) 3.45358 7.56229i 0.135046 0.295709i
\(655\) −65.3253 + 19.1812i −2.55247 + 0.749473i
\(656\) 9.97609 2.92924i 0.389501 0.114368i
\(657\) −5.48910 + 12.0195i −0.214150 + 0.468924i
\(658\) −2.24669 15.6261i −0.0875852 0.609169i
\(659\) 17.9541 + 20.7202i 0.699394 + 0.807144i 0.988671 0.150102i \(-0.0479601\pi\)
−0.289276 + 0.957246i \(0.593415\pi\)
\(660\) 2.51031 + 5.49682i 0.0977138 + 0.213963i
\(661\) 6.84724 4.40046i 0.266327 0.171158i −0.400661 0.916226i \(-0.631220\pi\)
0.666988 + 0.745068i \(0.267583\pi\)
\(662\) −1.24393 + 8.65169i −0.0483465 + 0.336257i
\(663\) 18.7718 + 12.0639i 0.729038 + 0.468524i
\(664\) 0.0741615 0.0855869i 0.00287802 0.00332142i
\(665\) −22.8053 6.69623i −0.884350 0.259669i
\(666\) 4.81881 0.186725
\(667\) −0.212368 + 2.81395i −0.00822292 + 0.108957i
\(668\) −5.28482 −0.204476
\(669\) 14.5834 + 4.28209i 0.563829 + 0.165555i
\(670\) −14.7112 + 16.9776i −0.568343 + 0.655903i
\(671\) 16.8269 + 10.8140i 0.649597 + 0.417471i
\(672\) 0.411844 2.86444i 0.0158872 0.110498i
\(673\) 26.0896 16.7667i 1.00568 0.646310i 0.0694072 0.997588i \(-0.477889\pi\)
0.936271 + 0.351278i \(0.114253\pi\)
\(674\) −1.35173 2.95989i −0.0520669 0.114011i
\(675\) 6.29699 + 7.26712i 0.242371 + 0.279712i
\(676\) −1.30678 9.08886i −0.0502608 0.349571i
\(677\) −8.47632 + 18.5606i −0.325772 + 0.713340i −0.999675 0.0254788i \(-0.991889\pi\)
0.673904 + 0.738819i \(0.264616\pi\)
\(678\) 7.20846 2.11660i 0.276839 0.0812874i
\(679\) −2.42553 + 0.712199i −0.0930831 + 0.0273317i
\(680\) −7.52436 + 16.4761i −0.288546 + 0.631828i
\(681\) 1.84048 + 12.8008i 0.0705274 + 0.490529i
\(682\) 0.176746 + 0.203976i 0.00676797 + 0.00781065i
\(683\) 8.63468 + 18.9073i 0.330397 + 0.723468i 0.999811 0.0194207i \(-0.00618219\pi\)
−0.669414 + 0.742889i \(0.733455\pi\)
\(684\) 1.80728 1.16147i 0.0691032 0.0444100i
\(685\) 0.415114 2.88718i 0.0158607 0.110314i
\(686\) −13.6950 8.80122i −0.522876 0.336032i
\(687\) −0.621137 + 0.716830i −0.0236978 + 0.0273488i
\(688\) −11.7711 3.45632i −0.448770 0.131771i
\(689\) −48.5477 −1.84952
\(690\) −17.9003 3.96766i −0.681453 0.151046i
\(691\) −13.6695 −0.520012 −0.260006 0.965607i \(-0.583725\pi\)
−0.260006 + 0.965607i \(0.583725\pi\)
\(692\) −13.8077 4.05430i −0.524890 0.154121i
\(693\) 2.99548 3.45697i 0.113789 0.131319i
\(694\) −4.38443 2.81770i −0.166431 0.106959i
\(695\) −5.01973 + 34.9130i −0.190409 + 1.32432i
\(696\) 0.495008 0.318122i 0.0187632 0.0120584i
\(697\) 20.4634 + 44.8085i 0.775106 + 1.69724i
\(698\) −10.1327 11.6938i −0.383529 0.442616i
\(699\) 1.98504 + 13.8062i 0.0750810 + 0.522200i
\(700\) 11.5598 25.3124i 0.436918 0.956718i
\(701\) 2.12031 0.622581i 0.0800832 0.0235145i −0.241446 0.970414i \(-0.577622\pi\)
0.321529 + 0.946900i \(0.395803\pi\)
\(702\) 4.51903 1.32691i 0.170560 0.0500809i
\(703\) 4.30053 9.41685i 0.162198 0.355163i
\(704\) 0.224949 + 1.56456i 0.00847810 + 0.0589665i
\(705\) 13.6575 + 15.7616i 0.514371 + 0.593615i
\(706\) −0.671574 1.47054i −0.0252750 0.0553446i
\(707\) −26.5611 + 17.0698i −0.998932 + 0.641975i
\(708\) −0.270786 + 1.88336i −0.0101768 + 0.0707809i
\(709\) −15.7884 10.1466i −0.592946 0.381063i 0.209482 0.977813i \(-0.432822\pi\)
−0.802428 + 0.596749i \(0.796459\pi\)
\(710\) 29.5962 34.1559i 1.11073 1.28185i
\(711\) −11.2112 3.29192i −0.420454 0.123456i
\(712\) −12.2386 −0.458662
\(713\) −0.817036 + 0.0552115i −0.0305982 + 0.00206769i
\(714\) 13.7107 0.513110
\(715\) 27.3081 + 8.01837i 1.02126 + 0.299870i
\(716\) −7.33448 + 8.46445i −0.274103 + 0.316331i
\(717\) 2.05543 + 1.32094i 0.0767614 + 0.0493316i
\(718\) −1.92950 + 13.4199i −0.0720082 + 0.500828i
\(719\) 17.3887 11.1751i 0.648490 0.416759i −0.174624 0.984635i \(-0.555871\pi\)
0.823114 + 0.567876i \(0.192235\pi\)
\(720\) 1.58816 + 3.47758i 0.0591871 + 0.129602i
\(721\) −6.99820 8.07636i −0.260627 0.300779i
\(722\) 2.04716 + 14.2383i 0.0761873 + 0.529894i
\(723\) −4.51289 + 9.88185i −0.167836 + 0.367510i
\(724\) −8.43843 + 2.47775i −0.313612 + 0.0920847i
\(725\) 5.42890 1.59407i 0.201624 0.0592022i
\(726\) 3.53167 7.73329i 0.131073 0.287009i
\(727\) 4.48938 + 31.2244i 0.166502 + 1.15805i 0.886045 + 0.463599i \(0.153442\pi\)
−0.719543 + 0.694448i \(0.755649\pi\)
\(728\) −8.92555 10.3006i −0.330803 0.381767i
\(729\) 0.415415 + 0.909632i 0.0153857 + 0.0336901i
\(730\) −42.4969 + 27.3111i −1.57288 + 1.01083i
\(731\) 8.27187 57.5321i 0.305946 2.12790i
\(732\) 10.6456 + 6.84152i 0.393473 + 0.252870i
\(733\) 15.9963 18.4607i 0.590836 0.681861i −0.379062 0.925371i \(-0.623753\pi\)
0.969898 + 0.243510i \(0.0782988\pi\)
\(734\) −15.6143 4.58476i −0.576333 0.169227i
\(735\) −5.25527 −0.193843
\(736\) −4.20014 2.31491i −0.154819 0.0853287i
\(737\) −9.28801 −0.342128
\(738\) 9.97609 + 2.92924i 0.367225 + 0.107827i
\(739\) 27.6042 31.8570i 1.01544 1.17188i 0.0304000 0.999538i \(-0.490322\pi\)
0.985038 0.172340i \(-0.0551326\pi\)
\(740\) 15.4981 + 9.96001i 0.569721 + 0.366137i
\(741\) 1.43997 10.0152i 0.0528986 0.367918i
\(742\) −25.0943 + 16.1271i −0.921240 + 0.592045i
\(743\) 1.24173 + 2.71901i 0.0455546 + 0.0997507i 0.931041 0.364915i \(-0.118902\pi\)
−0.885486 + 0.464665i \(0.846175\pi\)
\(744\) 0.111819 + 0.129046i 0.00409948 + 0.00473106i
\(745\) −10.0606 69.9729i −0.368592 2.56361i
\(746\) 2.89747 6.34458i 0.106084 0.232292i
\(747\) 0.108660 0.0319056i 0.00397568 0.00116736i
\(748\) −7.18544 + 2.10983i −0.262726 + 0.0771432i
\(749\) 12.9431 28.3414i 0.472930 1.03557i
\(750\) 2.51134 + 17.4668i 0.0917013 + 0.637796i
\(751\) −25.6872 29.6446i −0.937338 1.08175i −0.996508 0.0834975i \(-0.973391\pi\)
0.0591703 0.998248i \(-0.481155\pi\)
\(752\) 2.26617 + 4.96223i 0.0826388 + 0.180954i
\(753\) 12.0477 7.74258i 0.439042 0.282155i
\(754\) 0.394402 2.74313i 0.0143633 0.0998988i
\(755\) −3.19007 2.05013i −0.116099 0.0746120i
\(756\) 1.89510 2.18706i 0.0689240 0.0795426i
\(757\) 45.5285 + 13.3684i 1.65476 + 0.485882i 0.970045 0.242926i \(-0.0781074\pi\)
0.684718 + 0.728808i \(0.259926\pi\)
\(758\) 16.5116 0.599728
\(759\) −3.60680 6.66747i −0.130918 0.242014i
\(760\) 8.21316 0.297923
\(761\) 29.5001 + 8.66200i 1.06938 + 0.313997i 0.768621 0.639704i \(-0.220943\pi\)
0.300755 + 0.953701i \(0.402761\pi\)
\(762\) −4.96881 + 5.73431i −0.180001 + 0.207732i
\(763\) −20.2394 13.0071i −0.732715 0.470887i
\(764\) 0.901138 6.26755i 0.0326020 0.226752i
\(765\) −15.2375 + 9.79257i −0.550914 + 0.354051i
\(766\) −9.30027 20.3647i −0.336032 0.735808i
\(767\) 5.86852 + 6.77263i 0.211900 + 0.244546i
\(768\) 0.142315 + 0.989821i 0.00513534 + 0.0357171i
\(769\) −13.4905 + 29.5400i −0.486479 + 1.06524i 0.494153 + 0.869375i \(0.335478\pi\)
−0.980631 + 0.195864i