Properties

Label 240.2.bl.a.109.14
Level $240$
Weight $2$
Character 240.109
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 109.14
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.382275 - 1.36157i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.70773 - 1.04099i) q^{4} +(1.75308 - 1.38805i) q^{5} +(-0.692464 - 1.23308i) q^{6} -4.66030 q^{7} +(-2.07020 + 1.92725i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(0.382275 - 1.36157i) q^{2} +(0.707107 - 0.707107i) q^{3} +(-1.70773 - 1.04099i) q^{4} +(1.75308 - 1.38805i) q^{5} +(-0.692464 - 1.23308i) q^{6} -4.66030 q^{7} +(-2.07020 + 1.92725i) q^{8} -1.00000i q^{9} +(-1.21977 - 2.91756i) q^{10} +(1.23653 - 1.23653i) q^{11} +(-1.94364 + 0.471461i) q^{12} +(4.12471 - 4.12471i) q^{13} +(-1.78151 + 6.34531i) q^{14} +(0.258116 - 2.22112i) q^{15} +(1.83270 + 3.55545i) q^{16} +3.20810i q^{17} +(-1.36157 - 0.382275i) q^{18} +(3.73847 + 3.73847i) q^{19} +(-4.43874 + 0.545487i) q^{20} +(-3.29533 + 3.29533i) q^{21} +(-1.21093 - 2.15632i) q^{22} -0.714957 q^{23} +(-0.101078 + 2.82662i) q^{24} +(1.14661 - 4.86675i) q^{25} +(-4.03930 - 7.19285i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(7.95854 + 4.85131i) q^{28} +(-1.24264 - 1.24264i) q^{29} +(-2.92553 - 1.20052i) q^{30} +3.84716 q^{31} +(5.54158 - 1.13618i) q^{32} -1.74872i q^{33} +(4.36804 + 1.22637i) q^{34} +(-8.16990 + 6.46874i) q^{35} +(-1.04099 + 1.70773i) q^{36} +(-2.33317 - 2.33317i) q^{37} +(6.51931 - 3.66106i) q^{38} -5.83322i q^{39} +(-0.954103 + 6.25217i) q^{40} +6.81590i q^{41} +(3.22709 + 5.74653i) q^{42} +(1.31751 + 1.31751i) q^{43} +(-3.39888 + 0.824453i) q^{44} +(-1.38805 - 1.75308i) q^{45} +(-0.273310 + 0.973462i) q^{46} +1.18427i q^{47} +(3.80999 + 1.21817i) q^{48} +14.7184 q^{49} +(-6.18809 - 3.42163i) q^{50} +(2.26847 + 2.26847i) q^{51} +(-11.3377 + 2.75014i) q^{52} +(9.35268 + 9.35268i) q^{53} +(-1.23308 + 0.692464i) q^{54} +(0.451373 - 3.88412i) q^{55} +(9.64773 - 8.98156i) q^{56} +5.28700 q^{57} +(-2.16697 + 1.21691i) q^{58} +(-6.22646 + 6.22646i) q^{59} +(-2.75295 + 3.52438i) q^{60} +(-4.44284 - 4.44284i) q^{61} +(1.47067 - 5.23817i) q^{62} +4.66030i q^{63} +(0.571420 - 7.97957i) q^{64} +(1.50565 - 12.9563i) q^{65} +(-2.38100 - 0.668492i) q^{66} +(6.37769 - 6.37769i) q^{67} +(3.33958 - 5.47857i) q^{68} +(-0.505551 + 0.505551i) q^{69} +(5.68448 + 13.5967i) q^{70} -6.23269i q^{71} +(1.92725 + 2.07020i) q^{72} +5.34334 q^{73} +(-4.06868 + 2.28486i) q^{74} +(-2.63054 - 4.25209i) q^{75} +(-2.49261 - 10.2760i) q^{76} +(-5.76261 + 5.76261i) q^{77} +(-7.94233 - 2.22990i) q^{78} -13.0275 q^{79} +(8.14803 + 3.68912i) q^{80} -1.00000 q^{81} +(9.28031 + 2.60555i) q^{82} +(-4.88079 + 4.88079i) q^{83} +(9.05793 - 2.19715i) q^{84} +(4.45301 + 5.62407i) q^{85} +(2.29754 - 1.29023i) q^{86} -1.75736 q^{87} +(-0.176758 + 4.94297i) q^{88} -2.20498i q^{89} +(-2.91756 + 1.21977i) q^{90} +(-19.2224 + 19.2224i) q^{91} +(1.22095 + 0.744260i) q^{92} +(2.72035 - 2.72035i) q^{93} +(1.61246 + 0.452716i) q^{94} +(11.7431 + 1.36466i) q^{95} +(3.11509 - 4.72189i) q^{96} +7.39253i q^{97} +(5.62647 - 20.0401i) q^{98} +(-1.23653 - 1.23653i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.382275 1.36157i 0.270309 0.962774i
\(3\) 0.707107 0.707107i 0.408248 0.408248i
\(4\) −1.70773 1.04099i −0.853866 0.520493i
\(5\) 1.75308 1.38805i 0.784003 0.620757i
\(6\) −0.692464 1.23308i −0.282697 0.503404i
\(7\) −4.66030 −1.76143 −0.880714 0.473649i \(-0.842936\pi\)
−0.880714 + 0.473649i \(0.842936\pi\)
\(8\) −2.07020 + 1.92725i −0.731925 + 0.681386i
\(9\) 1.00000i 0.333333i
\(10\) −1.21977 2.91756i −0.385725 0.922614i
\(11\) 1.23653 1.23653i 0.372828 0.372828i −0.495678 0.868506i \(-0.665080\pi\)
0.868506 + 0.495678i \(0.165080\pi\)
\(12\) −1.94364 + 0.471461i −0.561080 + 0.136099i
\(13\) 4.12471 4.12471i 1.14399 1.14399i 0.156276 0.987713i \(-0.450051\pi\)
0.987713 0.156276i \(-0.0499490\pi\)
\(14\) −1.78151 + 6.34531i −0.476130 + 1.69586i
\(15\) 0.258116 2.22112i 0.0666453 0.573491i
\(16\) 1.83270 + 3.55545i 0.458174 + 0.888862i
\(17\) 3.20810i 0.778078i 0.921221 + 0.389039i \(0.127193\pi\)
−0.921221 + 0.389039i \(0.872807\pi\)
\(18\) −1.36157 0.382275i −0.320925 0.0901030i
\(19\) 3.73847 + 3.73847i 0.857665 + 0.857665i 0.991063 0.133398i \(-0.0425889\pi\)
−0.133398 + 0.991063i \(0.542589\pi\)
\(20\) −4.43874 + 0.545487i −0.992533 + 0.121975i
\(21\) −3.29533 + 3.29533i −0.719100 + 0.719100i
\(22\) −1.21093 2.15632i −0.258170 0.459728i
\(23\) −0.714957 −0.149079 −0.0745394 0.997218i \(-0.523749\pi\)
−0.0745394 + 0.997218i \(0.523749\pi\)
\(24\) −0.101078 + 2.82662i −0.0206325 + 0.576981i
\(25\) 1.14661 4.86675i 0.229323 0.973350i
\(26\) −4.03930 7.19285i −0.792172 1.41063i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) 7.95854 + 4.85131i 1.50402 + 0.916810i
\(29\) −1.24264 1.24264i −0.230753 0.230753i 0.582254 0.813007i \(-0.302171\pi\)
−0.813007 + 0.582254i \(0.802171\pi\)
\(30\) −2.92553 1.20052i −0.534127 0.219184i
\(31\) 3.84716 0.690970 0.345485 0.938424i \(-0.387714\pi\)
0.345485 + 0.938424i \(0.387714\pi\)
\(32\) 5.54158 1.13618i 0.979622 0.200850i
\(33\) 1.74872i 0.304413i
\(34\) 4.36804 + 1.22637i 0.749113 + 0.210322i
\(35\) −8.16990 + 6.46874i −1.38096 + 1.09342i
\(36\) −1.04099 + 1.70773i −0.173498 + 0.284622i
\(37\) −2.33317 2.33317i −0.383571 0.383571i 0.488816 0.872387i \(-0.337429\pi\)
−0.872387 + 0.488816i \(0.837429\pi\)
\(38\) 6.51931 3.66106i 1.05757 0.593902i
\(39\) 5.83322i 0.934064i
\(40\) −0.954103 + 6.25217i −0.150857 + 0.988556i
\(41\) 6.81590i 1.06446i 0.846598 + 0.532232i \(0.178647\pi\)
−0.846598 + 0.532232i \(0.821353\pi\)
\(42\) 3.22709 + 5.74653i 0.497951 + 0.886709i
\(43\) 1.31751 + 1.31751i 0.200919 + 0.200919i 0.800394 0.599475i \(-0.204624\pi\)
−0.599475 + 0.800394i \(0.704624\pi\)
\(44\) −3.39888 + 0.824453i −0.512400 + 0.124291i
\(45\) −1.38805 1.75308i −0.206919 0.261334i
\(46\) −0.273310 + 0.973462i −0.0402974 + 0.143529i
\(47\) 1.18427i 0.172743i 0.996263 + 0.0863716i \(0.0275272\pi\)
−0.996263 + 0.0863716i \(0.972473\pi\)
\(48\) 3.80999 + 1.21817i 0.549925 + 0.175828i
\(49\) 14.7184 2.10263
\(50\) −6.18809 3.42163i −0.875128 0.483891i
\(51\) 2.26847 + 2.26847i 0.317649 + 0.317649i
\(52\) −11.3377 + 2.75014i −1.57225 + 0.381375i
\(53\) 9.35268 + 9.35268i 1.28469 + 1.28469i 0.937968 + 0.346722i \(0.112705\pi\)
0.346722 + 0.937968i \(0.387295\pi\)
\(54\) −1.23308 + 0.692464i −0.167801 + 0.0942325i
\(55\) 0.451373 3.88412i 0.0608631 0.523734i
\(56\) 9.64773 8.98156i 1.28923 1.20021i
\(57\) 5.28700 0.700280
\(58\) −2.16697 + 1.21691i −0.284537 + 0.159788i
\(59\) −6.22646 + 6.22646i −0.810617 + 0.810617i −0.984726 0.174110i \(-0.944295\pi\)
0.174110 + 0.984726i \(0.444295\pi\)
\(60\) −2.75295 + 3.52438i −0.355404 + 0.454996i
\(61\) −4.44284 4.44284i −0.568848 0.568848i 0.362958 0.931806i \(-0.381767\pi\)
−0.931806 + 0.362958i \(0.881767\pi\)
\(62\) 1.47067 5.23817i 0.186776 0.665248i
\(63\) 4.66030i 0.587142i
\(64\) 0.571420 7.97957i 0.0714275 0.997446i
\(65\) 1.50565 12.9563i 0.186753 1.60703i
\(66\) −2.38100 0.668492i −0.293081 0.0822857i
\(67\) 6.37769 6.37769i 0.779159 0.779159i −0.200529 0.979688i \(-0.564266\pi\)
0.979688 + 0.200529i \(0.0642660\pi\)
\(68\) 3.33958 5.47857i 0.404984 0.664374i
\(69\) −0.505551 + 0.505551i −0.0608612 + 0.0608612i
\(70\) 5.68448 + 13.5967i 0.679426 + 1.62512i
\(71\) 6.23269i 0.739685i −0.929095 0.369842i \(-0.879412\pi\)
0.929095 0.369842i \(-0.120588\pi\)
\(72\) 1.92725 + 2.07020i 0.227129 + 0.243975i
\(73\) 5.34334 0.625391 0.312695 0.949853i \(-0.398768\pi\)
0.312695 + 0.949853i \(0.398768\pi\)
\(74\) −4.06868 + 2.28486i −0.472975 + 0.265609i
\(75\) −2.63054 4.25209i −0.303748 0.490989i
\(76\) −2.49261 10.2760i −0.285922 1.17874i
\(77\) −5.76261 + 5.76261i −0.656710 + 0.656710i
\(78\) −7.94233 2.22990i −0.899292 0.252486i
\(79\) −13.0275 −1.46571 −0.732854 0.680386i \(-0.761812\pi\)
−0.732854 + 0.680386i \(0.761812\pi\)
\(80\) 8.14803 + 3.68912i 0.910977 + 0.412457i
\(81\) −1.00000 −0.111111
\(82\) 9.28031 + 2.60555i 1.02484 + 0.287735i
\(83\) −4.88079 + 4.88079i −0.535736 + 0.535736i −0.922274 0.386537i \(-0.873671\pi\)
0.386537 + 0.922274i \(0.373671\pi\)
\(84\) 9.05793 2.19715i 0.988301 0.239728i
\(85\) 4.45301 + 5.62407i 0.482997 + 0.610016i
\(86\) 2.29754 1.29023i 0.247750 0.139129i
\(87\) −1.75736 −0.188409
\(88\) −0.176758 + 4.94297i −0.0188424 + 0.526922i
\(89\) 2.20498i 0.233728i −0.993148 0.116864i \(-0.962716\pi\)
0.993148 0.116864i \(-0.0372841\pi\)
\(90\) −2.91756 + 1.21977i −0.307538 + 0.128575i
\(91\) −19.2224 + 19.2224i −2.01505 + 2.01505i
\(92\) 1.22095 + 0.744260i 0.127293 + 0.0775945i
\(93\) 2.72035 2.72035i 0.282087 0.282087i
\(94\) 1.61246 + 0.452716i 0.166313 + 0.0466941i
\(95\) 11.7431 + 1.36466i 1.20481 + 0.140011i
\(96\) 3.11509 4.72189i 0.317932 0.481926i
\(97\) 7.39253i 0.750598i 0.926904 + 0.375299i \(0.122460\pi\)
−0.926904 + 0.375299i \(0.877540\pi\)
\(98\) 5.62647 20.0401i 0.568359 2.02435i
\(99\) −1.23653 1.23653i −0.124276 0.124276i
\(100\) −7.02433 + 7.11750i −0.702433 + 0.711750i
\(101\) −8.18037 + 8.18037i −0.813977 + 0.813977i −0.985228 0.171250i \(-0.945219\pi\)
0.171250 + 0.985228i \(0.445219\pi\)
\(102\) 3.95585 2.22149i 0.391687 0.219961i
\(103\) −4.97884 −0.490580 −0.245290 0.969450i \(-0.578883\pi\)
−0.245290 + 0.969450i \(0.578883\pi\)
\(104\) −0.589612 + 16.4883i −0.0578162 + 1.61681i
\(105\) −1.20290 + 10.3511i −0.117391 + 1.01016i
\(106\) 16.3096 9.15901i 1.58413 0.889602i
\(107\) −3.57553 3.57553i −0.345660 0.345660i 0.512830 0.858490i \(-0.328597\pi\)
−0.858490 + 0.512830i \(0.828597\pi\)
\(108\) 0.471461 + 1.94364i 0.0453663 + 0.187027i
\(109\) −7.08685 7.08685i −0.678797 0.678797i 0.280931 0.959728i \(-0.409357\pi\)
−0.959728 + 0.280931i \(0.909357\pi\)
\(110\) −5.11594 2.09938i −0.487786 0.200168i
\(111\) −3.29960 −0.313184
\(112\) −8.54091 16.5695i −0.807040 1.56567i
\(113\) 3.56470i 0.335339i 0.985843 + 0.167669i \(0.0536241\pi\)
−0.985843 + 0.167669i \(0.946376\pi\)
\(114\) 2.02109 7.19861i 0.189292 0.674211i
\(115\) −1.25338 + 0.992399i −0.116878 + 0.0925417i
\(116\) 0.828527 + 3.41567i 0.0769268 + 0.317137i
\(117\) −4.12471 4.12471i −0.381330 0.381330i
\(118\) 6.09753 + 10.8580i 0.561323 + 0.999557i
\(119\) 14.9507i 1.37053i
\(120\) 3.74630 + 5.09561i 0.341989 + 0.465163i
\(121\) 7.94198i 0.721998i
\(122\) −7.74762 + 4.35085i −0.701437 + 0.393907i
\(123\) 4.81957 + 4.81957i 0.434566 + 0.434566i
\(124\) −6.56991 4.00484i −0.589996 0.359645i
\(125\) −4.74520 10.1234i −0.424424 0.905464i
\(126\) 6.34531 + 1.78151i 0.565285 + 0.158710i
\(127\) 8.87279i 0.787333i −0.919253 0.393666i \(-0.871207\pi\)
0.919253 0.393666i \(-0.128793\pi\)
\(128\) −10.6463 3.82841i −0.941007 0.338387i
\(129\) 1.86325 0.164050
\(130\) −17.0653 7.00291i −1.49673 0.614196i
\(131\) 6.48400 + 6.48400i 0.566509 + 0.566509i 0.931149 0.364639i \(-0.118808\pi\)
−0.364639 + 0.931149i \(0.618808\pi\)
\(132\) −1.82039 + 2.98635i −0.158445 + 0.259928i
\(133\) −17.4224 17.4224i −1.51071 1.51071i
\(134\) −6.24563 11.1217i −0.539540 0.960768i
\(135\) −2.22112 0.258116i −0.191164 0.0222151i
\(136\) −6.18280 6.64139i −0.530171 0.569494i
\(137\) −10.2443 −0.875232 −0.437616 0.899162i \(-0.644177\pi\)
−0.437616 + 0.899162i \(0.644177\pi\)
\(138\) 0.495082 + 0.881601i 0.0421442 + 0.0750469i
\(139\) 3.20737 3.20737i 0.272046 0.272046i −0.557878 0.829923i \(-0.688384\pi\)
0.829923 + 0.557878i \(0.188384\pi\)
\(140\) 20.6859 2.54213i 1.74827 0.214849i
\(141\) 0.837404 + 0.837404i 0.0705221 + 0.0705221i
\(142\) −8.48623 2.38260i −0.712149 0.199944i
\(143\) 10.2007i 0.853024i
\(144\) 3.55545 1.83270i 0.296287 0.152725i
\(145\) −3.90331 0.453603i −0.324152 0.0376697i
\(146\) 2.04262 7.27532i 0.169049 0.602110i
\(147\) 10.4075 10.4075i 0.858393 0.858393i
\(148\) 1.55563 + 6.41323i 0.127872 + 0.527164i
\(149\) −14.9254 + 14.9254i −1.22274 + 1.22274i −0.256080 + 0.966656i \(0.582431\pi\)
−0.966656 + 0.256080i \(0.917569\pi\)
\(150\) −6.79510 + 1.95618i −0.554817 + 0.159722i
\(151\) 20.2716i 1.64968i 0.565368 + 0.824839i \(0.308734\pi\)
−0.565368 + 0.824839i \(0.691266\pi\)
\(152\) −14.9443 0.534401i −1.21215 0.0433456i
\(153\) 3.20810 0.259359
\(154\) 5.64328 + 10.0491i 0.454748 + 0.809778i
\(155\) 6.74439 5.34006i 0.541723 0.428924i
\(156\) −6.07231 + 9.96158i −0.486174 + 0.797565i
\(157\) −8.09742 + 8.09742i −0.646245 + 0.646245i −0.952083 0.305839i \(-0.901063\pi\)
0.305839 + 0.952083i \(0.401063\pi\)
\(158\) −4.98009 + 17.7378i −0.396194 + 1.41115i
\(159\) 13.2267 1.04894
\(160\) 8.13778 9.68383i 0.643348 0.765574i
\(161\) 3.33191 0.262592
\(162\) −0.382275 + 1.36157i −0.0300343 + 0.106975i
\(163\) 5.72054 5.72054i 0.448067 0.448067i −0.446644 0.894712i \(-0.647381\pi\)
0.894712 + 0.446644i \(0.147381\pi\)
\(164\) 7.09526 11.6397i 0.554046 0.908910i
\(165\) −2.42732 3.06566i −0.188966 0.238661i
\(166\) 4.77972 + 8.51133i 0.370978 + 0.660607i
\(167\) 22.8308 1.76670 0.883349 0.468716i \(-0.155283\pi\)
0.883349 + 0.468716i \(0.155283\pi\)
\(168\) 0.471055 13.1729i 0.0363427 1.01631i
\(169\) 21.0265i 1.61742i
\(170\) 9.35982 3.91314i 0.717865 0.300124i
\(171\) 3.73847 3.73847i 0.285888 0.285888i
\(172\) −0.878447 3.62147i −0.0669809 0.276135i
\(173\) −4.13030 + 4.13030i −0.314021 + 0.314021i −0.846465 0.532444i \(-0.821274\pi\)
0.532444 + 0.846465i \(0.321274\pi\)
\(174\) −0.671795 + 2.39277i −0.0509287 + 0.181395i
\(175\) −5.34356 + 22.6805i −0.403935 + 1.71449i
\(176\) 6.66262 + 2.13024i 0.502214 + 0.160573i
\(177\) 8.80555i 0.661866i
\(178\) −3.00223 0.842909i −0.225027 0.0631787i
\(179\) 11.9337 + 11.9337i 0.891964 + 0.891964i 0.994708 0.102744i \(-0.0327623\pi\)
−0.102744 + 0.994708i \(0.532762\pi\)
\(180\) 0.545487 + 4.43874i 0.0406582 + 0.330844i
\(181\) 15.2918 15.2918i 1.13663 1.13663i 0.147579 0.989050i \(-0.452852\pi\)
0.989050 0.147579i \(-0.0471481\pi\)
\(182\) 18.8243 + 33.5208i 1.39535 + 2.48473i
\(183\) −6.28313 −0.464462
\(184\) 1.48010 1.37790i 0.109114 0.101580i
\(185\) −7.32882 0.851680i −0.538825 0.0626168i
\(186\) −2.66402 4.74386i −0.195335 0.347837i
\(187\) 3.96691 + 3.96691i 0.290090 + 0.290090i
\(188\) 1.23281 2.02241i 0.0899116 0.147500i
\(189\) 3.29533 + 3.29533i 0.239700 + 0.239700i
\(190\) 6.34715 15.4673i 0.460471 1.12212i
\(191\) −11.8574 −0.857970 −0.428985 0.903312i \(-0.641129\pi\)
−0.428985 + 0.903312i \(0.641129\pi\)
\(192\) −5.23835 6.04646i −0.378045 0.436366i
\(193\) 8.93675i 0.643281i −0.946862 0.321641i \(-0.895766\pi\)
0.946862 0.321641i \(-0.104234\pi\)
\(194\) 10.0654 + 2.82598i 0.722656 + 0.202894i
\(195\) −8.09683 10.2261i −0.579826 0.732309i
\(196\) −25.1350 15.3216i −1.79536 1.09440i
\(197\) 10.2868 + 10.2868i 0.732907 + 0.732907i 0.971195 0.238288i \(-0.0765861\pi\)
−0.238288 + 0.971195i \(0.576586\pi\)
\(198\) −2.15632 + 1.21093i −0.153243 + 0.0860568i
\(199\) 15.4507i 1.09527i −0.836716 0.547637i \(-0.815527\pi\)
0.836716 0.547637i \(-0.184473\pi\)
\(200\) 7.00573 + 12.2849i 0.495380 + 0.868676i
\(201\) 9.01942i 0.636181i
\(202\) 8.01098 + 14.2653i 0.563650 + 1.00370i
\(203\) 5.79108 + 5.79108i 0.406454 + 0.406454i
\(204\) −1.51249 6.23538i −0.105896 0.436564i
\(205\) 9.46083 + 11.9489i 0.660773 + 0.834544i
\(206\) −1.90328 + 6.77903i −0.132608 + 0.472317i
\(207\) 0.714957i 0.0496929i
\(208\) 22.2246 + 7.10586i 1.54100 + 0.492703i
\(209\) 9.24548 0.639523
\(210\) 13.6339 + 5.59479i 0.940826 + 0.386077i
\(211\) −11.2944 11.2944i −0.777540 0.777540i 0.201872 0.979412i \(-0.435297\pi\)
−0.979412 + 0.201872i \(0.935297\pi\)
\(212\) −6.23586 25.7079i −0.428281 1.76563i
\(213\) −4.40718 4.40718i −0.301975 0.301975i
\(214\) −6.23517 + 3.50149i −0.426227 + 0.239357i
\(215\) 4.13849 + 0.480934i 0.282243 + 0.0327994i
\(216\) 2.82662 + 0.101078i 0.192327 + 0.00687751i
\(217\) −17.9289 −1.21709
\(218\) −12.3583 + 6.94010i −0.837013 + 0.470043i
\(219\) 3.77831 3.77831i 0.255315 0.255315i
\(220\) −4.81414 + 6.16316i −0.324569 + 0.415520i
\(221\) 13.2325 + 13.2325i 0.890113 + 0.890113i
\(222\) −1.26136 + 4.49263i −0.0846566 + 0.301526i
\(223\) 4.89051i 0.327493i 0.986502 + 0.163746i \(0.0523579\pi\)
−0.986502 + 0.163746i \(0.947642\pi\)
\(224\) −25.8254 + 5.29494i −1.72553 + 0.353783i
\(225\) −4.86675 1.14661i −0.324450 0.0764409i
\(226\) 4.85358 + 1.36269i 0.322855 + 0.0906451i
\(227\) 2.49717 2.49717i 0.165743 0.165743i −0.619362 0.785105i \(-0.712609\pi\)
0.785105 + 0.619362i \(0.212609\pi\)
\(228\) −9.02878 5.50369i −0.597945 0.364491i
\(229\) −6.31753 + 6.31753i −0.417474 + 0.417474i −0.884332 0.466858i \(-0.845386\pi\)
0.466858 + 0.884332i \(0.345386\pi\)
\(230\) 0.872082 + 2.08593i 0.0575034 + 0.137542i
\(231\) 8.14956i 0.536202i
\(232\) 4.96739 + 0.177631i 0.326125 + 0.0116621i
\(233\) −9.08796 −0.595372 −0.297686 0.954664i \(-0.596215\pi\)
−0.297686 + 0.954664i \(0.596215\pi\)
\(234\) −7.19285 + 4.03930i −0.470211 + 0.264057i
\(235\) 1.64383 + 2.07612i 0.107231 + 0.135431i
\(236\) 17.1148 4.15147i 1.11408 0.270238i
\(237\) −9.21183 + 9.21183i −0.598373 + 0.598373i
\(238\) −20.3564 5.71527i −1.31951 0.370466i
\(239\) −10.4917 −0.678652 −0.339326 0.940669i \(-0.610199\pi\)
−0.339326 + 0.940669i \(0.610199\pi\)
\(240\) 8.37013 3.15292i 0.540290 0.203520i
\(241\) −8.03087 −0.517314 −0.258657 0.965969i \(-0.583280\pi\)
−0.258657 + 0.965969i \(0.583280\pi\)
\(242\) 10.8135 + 3.03602i 0.695121 + 0.195163i
\(243\) −0.707107 + 0.707107i −0.0453609 + 0.0453609i
\(244\) 2.96225 + 12.2121i 0.189639 + 0.781801i
\(245\) 25.8026 20.4299i 1.64847 1.30522i
\(246\) 8.40457 4.71977i 0.535856 0.300921i
\(247\) 30.8403 1.96232
\(248\) −7.96437 + 7.41443i −0.505738 + 0.470817i
\(249\) 6.90248i 0.437427i
\(250\) −15.5977 + 2.59100i −0.986482 + 0.163869i
\(251\) 13.4646 13.4646i 0.849878 0.849878i −0.140240 0.990118i \(-0.544787\pi\)
0.990118 + 0.140240i \(0.0447874\pi\)
\(252\) 4.85131 7.95854i 0.305603 0.501341i
\(253\) −0.884067 + 0.884067i −0.0555808 + 0.0555808i
\(254\) −12.0809 3.39184i −0.758023 0.212823i
\(255\) 7.12557 + 0.828061i 0.446220 + 0.0518552i
\(256\) −9.28245 + 13.0321i −0.580153 + 0.814507i
\(257\) 24.6284i 1.53628i −0.640283 0.768139i \(-0.721183\pi\)
0.640283 0.768139i \(-0.278817\pi\)
\(258\) 0.712272 2.53694i 0.0443441 0.157943i
\(259\) 10.8733 + 10.8733i 0.675632 + 0.675632i
\(260\) −16.0586 + 20.5585i −0.995910 + 1.27499i
\(261\) −1.24264 + 1.24264i −0.0769176 + 0.0769176i
\(262\) 11.3071 6.34973i 0.698553 0.392288i
\(263\) 7.66921 0.472904 0.236452 0.971643i \(-0.424015\pi\)
0.236452 + 0.971643i \(0.424015\pi\)
\(264\) 3.37022 + 3.62019i 0.207423 + 0.222807i
\(265\) 29.3781 + 3.41402i 1.80468 + 0.209722i
\(266\) −30.3819 + 17.0616i −1.86283 + 1.04612i
\(267\) −1.55916 1.55916i −0.0954189 0.0954189i
\(268\) −17.5305 + 4.25230i −1.07084 + 0.259751i
\(269\) −3.24831 3.24831i −0.198053 0.198053i 0.601112 0.799165i \(-0.294725\pi\)
−0.799165 + 0.601112i \(0.794725\pi\)
\(270\) −1.20052 + 2.92553i −0.0730614 + 0.178042i
\(271\) 22.9657 1.39507 0.697534 0.716552i \(-0.254281\pi\)
0.697534 + 0.716552i \(0.254281\pi\)
\(272\) −11.4062 + 5.87947i −0.691604 + 0.356495i
\(273\) 27.1846i 1.64528i
\(274\) −3.91615 + 13.9483i −0.236583 + 0.842650i
\(275\) −4.60007 7.43572i −0.277395 0.448391i
\(276\) 1.38962 0.337074i 0.0836451 0.0202895i
\(277\) 20.6009 + 20.6009i 1.23779 + 1.23779i 0.960903 + 0.276885i \(0.0893021\pi\)
0.276885 + 0.960903i \(0.410698\pi\)
\(278\) −3.14095 5.59315i −0.188382 0.335455i
\(279\) 3.84716i 0.230323i
\(280\) 4.44640 29.1370i 0.265724 1.74127i
\(281\) 8.34735i 0.497961i 0.968508 + 0.248981i \(0.0800955\pi\)
−0.968508 + 0.248981i \(0.919904\pi\)
\(282\) 1.46030 0.820063i 0.0869596 0.0488341i
\(283\) −11.8274 11.8274i −0.703065 0.703065i 0.262002 0.965067i \(-0.415617\pi\)
−0.965067 + 0.262002i \(0.915617\pi\)
\(284\) −6.48815 + 10.6438i −0.385001 + 0.631592i
\(285\) 9.26856 7.33864i 0.549022 0.434703i
\(286\) −13.8889 3.89946i −0.821269 0.230580i
\(287\) 31.7641i 1.87498i
\(288\) −1.13618 5.54158i −0.0669501 0.326541i
\(289\) 6.70811 0.394595
\(290\) −2.10975 + 5.14122i −0.123889 + 0.301903i
\(291\) 5.22731 + 5.22731i 0.306430 + 0.306430i
\(292\) −9.12499 5.56234i −0.534000 0.325511i
\(293\) −5.03517 5.03517i −0.294158 0.294158i 0.544562 0.838720i \(-0.316696\pi\)
−0.838720 + 0.544562i \(0.816696\pi\)
\(294\) −10.1920 18.1490i −0.594407 1.05847i
\(295\) −2.27285 + 19.5582i −0.132331 + 1.13872i
\(296\) 9.32673 + 0.333518i 0.542105 + 0.0193854i
\(297\) −1.74872 −0.101471
\(298\) 14.6163 + 26.0275i 0.846701 + 1.50773i
\(299\) −2.94899 + 2.94899i −0.170545 + 0.170545i
\(300\) 0.0658809 + 9.99978i 0.00380363 + 0.577338i
\(301\) −6.14001 6.14001i −0.353904 0.353904i
\(302\) 27.6011 + 7.74932i 1.58827 + 0.445923i
\(303\) 11.5688i 0.664610i
\(304\) −6.44047 + 20.1434i −0.369386 + 1.15531i
\(305\) −13.9556 1.62178i −0.799095 0.0928627i
\(306\) 1.22637 4.36804i 0.0701072 0.249704i
\(307\) −8.09883 + 8.09883i −0.462224 + 0.462224i −0.899384 0.437159i \(-0.855985\pi\)
0.437159 + 0.899384i \(0.355985\pi\)
\(308\) 15.8398 3.84219i 0.902555 0.218929i
\(309\) −3.52057 + 3.52057i −0.200278 + 0.200278i
\(310\) −4.69264 11.2243i −0.266524 0.637499i
\(311\) 8.39210i 0.475872i −0.971281 0.237936i \(-0.923529\pi\)
0.971281 0.237936i \(-0.0764709\pi\)
\(312\) 11.2421 + 12.0759i 0.636457 + 0.683664i
\(313\) −18.3580 −1.03766 −0.518829 0.854878i \(-0.673632\pi\)
−0.518829 + 0.854878i \(0.673632\pi\)
\(314\) 7.92974 + 14.1206i 0.447501 + 0.796873i
\(315\) 6.46874 + 8.16990i 0.364472 + 0.460322i
\(316\) 22.2475 + 13.5614i 1.25152 + 0.762891i
\(317\) 0.514929 0.514929i 0.0289213 0.0289213i −0.692498 0.721420i \(-0.743490\pi\)
0.721420 + 0.692498i \(0.243490\pi\)
\(318\) 5.05623 18.0090i 0.283539 1.00990i
\(319\) −3.07313 −0.172062
\(320\) −10.0743 14.7820i −0.563172 0.826340i
\(321\) −5.05657 −0.282230
\(322\) 1.27371 4.53662i 0.0709809 0.252816i
\(323\) −11.9934 + 11.9934i −0.667330 + 0.667330i
\(324\) 1.70773 + 1.04099i 0.0948740 + 0.0578326i
\(325\) −15.3445 24.8034i −0.851160 1.37585i
\(326\) −5.60208 9.97572i −0.310271 0.552504i
\(327\) −10.0223 −0.554236
\(328\) −13.1359 14.1102i −0.725311 0.779108i
\(329\) 5.51904i 0.304275i
\(330\) −5.10200 + 2.13303i −0.280856 + 0.117420i
\(331\) 19.0330 19.0330i 1.04615 1.04615i 0.0472642 0.998882i \(-0.484950\pi\)
0.998882 0.0472642i \(-0.0150503\pi\)
\(332\) 13.4159 3.25425i 0.736294 0.178600i
\(333\) −2.33317 + 2.33317i −0.127857 + 0.127857i
\(334\) 8.72763 31.0856i 0.477554 1.70093i
\(335\) 2.32806 20.0332i 0.127195 1.09453i
\(336\) −17.7557 5.67704i −0.968653 0.309708i
\(337\) 17.3135i 0.943127i 0.881832 + 0.471564i \(0.156310\pi\)
−0.881832 + 0.471564i \(0.843690\pi\)
\(338\) −28.6290 8.03791i −1.55721 0.437204i
\(339\) 2.52062 + 2.52062i 0.136901 + 0.136901i
\(340\) −1.74997 14.2399i −0.0949057 0.772268i
\(341\) 4.75713 4.75713i 0.257613 0.257613i
\(342\) −3.66106 6.51931i −0.197967 0.352524i
\(343\) −35.9699 −1.94219
\(344\) −5.26669 0.188334i −0.283961 0.0101543i
\(345\) −0.184542 + 1.58801i −0.00993540 + 0.0854954i
\(346\) 4.04477 + 7.20260i 0.217448 + 0.387214i
\(347\) −7.77893 7.77893i −0.417595 0.417595i 0.466779 0.884374i \(-0.345414\pi\)
−0.884374 + 0.466779i \(0.845414\pi\)
\(348\) 3.00110 + 1.82939i 0.160876 + 0.0980655i
\(349\) 18.9914 + 18.9914i 1.01658 + 1.01658i 0.999860 + 0.0167236i \(0.00532353\pi\)
0.0167236 + 0.999860i \(0.494676\pi\)
\(350\) 28.8383 + 15.9458i 1.54147 + 0.852339i
\(351\) −5.83322 −0.311355
\(352\) 5.44742 8.25726i 0.290348 0.440114i
\(353\) 19.0971i 1.01644i −0.861228 0.508219i \(-0.830304\pi\)
0.861228 0.508219i \(-0.169696\pi\)
\(354\) 11.9894 + 3.36614i 0.637227 + 0.178908i
\(355\) −8.65132 10.9264i −0.459164 0.579915i
\(356\) −2.29535 + 3.76552i −0.121654 + 0.199572i
\(357\) −10.5717 10.5717i −0.559515 0.559515i
\(358\) 20.8104 11.6865i 1.09987 0.617653i
\(359\) 28.1143i 1.48381i 0.670502 + 0.741907i \(0.266079\pi\)
−0.670502 + 0.741907i \(0.733921\pi\)
\(360\) 6.25217 + 0.954103i 0.329519 + 0.0502856i
\(361\) 8.95236i 0.471177i
\(362\) −14.9751 26.6665i −0.787075 1.40156i
\(363\) 5.61583 + 5.61583i 0.294754 + 0.294754i
\(364\) 52.8369 12.8164i 2.76941 0.671764i
\(365\) 9.36733 7.41684i 0.490308 0.388215i
\(366\) −2.40188 + 8.55491i −0.125548 + 0.447172i
\(367\) 15.5388i 0.811117i −0.914069 0.405558i \(-0.867077\pi\)
0.914069 0.405558i \(-0.132923\pi\)
\(368\) −1.31030 2.54199i −0.0683041 0.132511i
\(369\) 6.81590 0.354822
\(370\) −3.96124 + 9.65310i −0.205935 + 0.501841i
\(371\) −43.5863 43.5863i −2.26289 2.26289i
\(372\) −7.47748 + 1.81378i −0.387689 + 0.0940403i
\(373\) −0.739215 0.739215i −0.0382751 0.0382751i 0.687710 0.725985i \(-0.258616\pi\)
−0.725985 + 0.687710i \(0.758616\pi\)
\(374\) 6.91767 3.88477i 0.357704 0.200877i
\(375\) −10.5137 3.80295i −0.542924 0.196384i
\(376\) −2.28238 2.45167i −0.117705 0.126435i
\(377\) −10.2511 −0.527958
\(378\) 5.74653 3.22709i 0.295570 0.165984i
\(379\) −0.977824 + 0.977824i −0.0502275 + 0.0502275i −0.731774 0.681547i \(-0.761308\pi\)
0.681547 + 0.731774i \(0.261308\pi\)
\(380\) −18.6334 14.5548i −0.955874 0.746647i
\(381\) −6.27401 6.27401i −0.321427 0.321427i
\(382\) −4.53278 + 16.1446i −0.231917 + 0.826031i
\(383\) 16.1529i 0.825374i 0.910873 + 0.412687i \(0.135410\pi\)
−0.910873 + 0.412687i \(0.864590\pi\)
\(384\) −10.2352 + 4.82096i −0.522310 + 0.246018i
\(385\) −2.10353 + 18.1012i −0.107206 + 0.922520i
\(386\) −12.1680 3.41630i −0.619334 0.173885i
\(387\) 1.31751 1.31751i 0.0669730 0.0669730i
\(388\) 7.69552 12.6245i 0.390681 0.640910i
\(389\) 4.69632 4.69632i 0.238113 0.238113i −0.577955 0.816068i \(-0.696149\pi\)
0.816068 + 0.577955i \(0.196149\pi\)
\(390\) −17.0188 + 7.11518i −0.861780 + 0.360291i
\(391\) 2.29365i 0.115995i
\(392\) −30.4699 + 28.3660i −1.53896 + 1.43270i
\(393\) 9.16976 0.462553
\(394\) 17.9386 10.0738i 0.903735 0.507512i
\(395\) −22.8383 + 18.0829i −1.14912 + 0.909848i
\(396\) 0.824453 + 3.39888i 0.0414303 + 0.170800i
\(397\) −0.887688 + 0.887688i −0.0445518 + 0.0445518i −0.729032 0.684480i \(-0.760029\pi\)
0.684480 + 0.729032i \(0.260029\pi\)
\(398\) −21.0372 5.90643i −1.05450 0.296063i
\(399\) −24.6390 −1.23349
\(400\) 19.4049 4.84255i 0.970244 0.242128i
\(401\) −25.5712 −1.27697 −0.638483 0.769636i \(-0.720438\pi\)
−0.638483 + 0.769636i \(0.720438\pi\)
\(402\) −12.2805 3.44790i −0.612498 0.171965i
\(403\) 15.8684 15.8684i 0.790462 0.790462i
\(404\) 22.4855 5.45423i 1.11870 0.271358i
\(405\) −1.75308 + 1.38805i −0.0871115 + 0.0689729i
\(406\) 10.0987 5.67117i 0.501192 0.281455i
\(407\) −5.77008 −0.286012
\(408\) −9.06807 0.324269i −0.448936 0.0160537i
\(409\) 1.99680i 0.0987353i −0.998781 0.0493677i \(-0.984279\pi\)
0.998781 0.0493677i \(-0.0157206\pi\)
\(410\) 19.8858 8.31382i 0.982090 0.410590i
\(411\) −7.24383 + 7.24383i −0.357312 + 0.357312i
\(412\) 8.50252 + 5.18290i 0.418889 + 0.255343i
\(413\) 29.0172 29.0172i 1.42784 1.42784i
\(414\) 0.973462 + 0.273310i 0.0478431 + 0.0134325i
\(415\) −1.78164 + 15.3312i −0.0874573 + 0.752581i
\(416\) 18.1710 27.5438i 0.890907 1.35045i
\(417\) 4.53591i 0.222124i
\(418\) 3.53432 12.5883i 0.172869 0.615716i
\(419\) 11.1711 + 11.1711i 0.545743 + 0.545743i 0.925207 0.379464i \(-0.123892\pi\)
−0.379464 + 0.925207i \(0.623892\pi\)
\(420\) 12.8296 16.4247i 0.626018 0.801442i
\(421\) 9.76440 9.76440i 0.475888 0.475888i −0.427926 0.903814i \(-0.640756\pi\)
0.903814 + 0.427926i \(0.140756\pi\)
\(422\) −19.6957 + 11.0605i −0.958771 + 0.538418i
\(423\) 1.18427 0.0575811
\(424\) −37.3868 1.33693i −1.81567 0.0649271i
\(425\) 15.6130 + 3.67845i 0.757342 + 0.178431i
\(426\) −7.68543 + 4.31592i −0.372360 + 0.209107i
\(427\) 20.7050 + 20.7050i 1.00198 + 1.00198i
\(428\) 2.38397 + 9.82813i 0.115234 + 0.475061i
\(429\) −7.21297 7.21297i −0.348245 0.348245i
\(430\) 2.23687 5.45099i 0.107871 0.262870i
\(431\) 25.1772 1.21274 0.606371 0.795182i \(-0.292625\pi\)
0.606371 + 0.795182i \(0.292625\pi\)
\(432\) 1.21817 3.80999i 0.0586093 0.183308i
\(433\) 1.78691i 0.0858734i 0.999078 + 0.0429367i \(0.0136714\pi\)
−0.999078 + 0.0429367i \(0.986329\pi\)
\(434\) −6.85377 + 24.4114i −0.328991 + 1.17179i
\(435\) −3.08080 + 2.43931i −0.147713 + 0.116956i
\(436\) 4.72513 + 19.4798i 0.226293 + 0.932911i
\(437\) −2.67285 2.67285i −0.127860 0.127860i
\(438\) −3.70007 6.58878i −0.176796 0.314824i
\(439\) 4.96049i 0.236751i −0.992969 0.118376i \(-0.962231\pi\)
0.992969 0.118376i \(-0.0377687\pi\)
\(440\) 6.55124 + 8.91079i 0.312318 + 0.424805i
\(441\) 14.7184i 0.700875i
\(442\) 23.0754 12.9585i 1.09758 0.616371i
\(443\) 3.68515 + 3.68515i 0.175087 + 0.175087i 0.789210 0.614123i \(-0.210490\pi\)
−0.614123 + 0.789210i \(0.710490\pi\)
\(444\) 5.63484 + 3.43484i 0.267418 + 0.163010i
\(445\) −3.06063 3.86552i −0.145088 0.183243i
\(446\) 6.65876 + 1.86952i 0.315301 + 0.0885243i
\(447\) 21.1077i 0.998359i
\(448\) −2.66299 + 37.1872i −0.125814 + 1.75693i
\(449\) −25.7644 −1.21590 −0.607949 0.793976i \(-0.708008\pi\)
−0.607949 + 0.793976i \(0.708008\pi\)
\(450\) −3.42163 + 6.18809i −0.161297 + 0.291709i
\(451\) 8.42808 + 8.42808i 0.396863 + 0.396863i
\(452\) 3.71080 6.08755i 0.174541 0.286334i
\(453\) 14.3342 + 14.3342i 0.673478 + 0.673478i
\(454\) −2.44546 4.35467i −0.114771 0.204375i
\(455\) −7.01677 + 60.3802i −0.328951 + 2.83067i
\(456\) −10.9451 + 10.1894i −0.512552 + 0.477161i
\(457\) 1.34836 0.0630735 0.0315367 0.999503i \(-0.489960\pi\)
0.0315367 + 0.999503i \(0.489960\pi\)
\(458\) 6.18671 + 11.0168i 0.289086 + 0.514780i
\(459\) 2.26847 2.26847i 0.105883 0.105883i
\(460\) 3.17351 0.390000i 0.147966 0.0181838i
\(461\) 19.1978 + 19.1978i 0.894128 + 0.894128i 0.994909 0.100780i \(-0.0321339\pi\)
−0.100780 + 0.994909i \(0.532134\pi\)
\(462\) 11.0962 + 3.11537i 0.516241 + 0.144940i
\(463\) 2.15031i 0.0999334i −0.998751 0.0499667i \(-0.984088\pi\)
0.998751 0.0499667i \(-0.0159115\pi\)
\(464\) 2.14077 6.69554i 0.0993826 0.310833i
\(465\) 0.993013 8.54500i 0.0460499 0.396265i
\(466\) −3.47410 + 12.3739i −0.160935 + 0.573209i
\(467\) −8.47864 + 8.47864i −0.392345 + 0.392345i −0.875522 0.483178i \(-0.839483\pi\)
0.483178 + 0.875522i \(0.339483\pi\)
\(468\) 2.75014 + 11.3377i 0.127125 + 0.524084i
\(469\) −29.7219 + 29.7219i −1.37243 + 1.37243i
\(470\) 3.45517 1.44453i 0.159375 0.0666313i
\(471\) 11.4515i 0.527656i
\(472\) 0.890050 24.8899i 0.0409679 1.14565i
\(473\) 3.25830 0.149817
\(474\) 9.02108 + 16.0640i 0.414352 + 0.737843i
\(475\) 22.4808 13.9076i 1.03149 0.638126i
\(476\) −15.5635 + 25.5318i −0.713350 + 1.17025i
\(477\) 9.35268 9.35268i 0.428230 0.428230i
\(478\) −4.01071 + 14.2852i −0.183446 + 0.653388i
\(479\) −15.4474 −0.705808 −0.352904 0.935660i \(-0.614806\pi\)
−0.352904 + 0.935660i \(0.614806\pi\)
\(480\) −1.09322 12.6018i −0.0498986 0.575190i
\(481\) −19.2473 −0.877603
\(482\) −3.07000 + 10.9346i −0.139835 + 0.498056i
\(483\) 2.35602 2.35602i 0.107203 0.107203i
\(484\) 8.26749 13.5628i 0.375795 0.616489i
\(485\) 10.2612 + 12.9597i 0.465939 + 0.588471i
\(486\) 0.692464 + 1.23308i 0.0314108 + 0.0559338i
\(487\) −21.0712 −0.954827 −0.477414 0.878679i \(-0.658426\pi\)
−0.477414 + 0.878679i \(0.658426\pi\)
\(488\) 17.7600 + 0.635088i 0.803959 + 0.0287491i
\(489\) 8.09007i 0.365846i
\(490\) −17.9530 42.9418i −0.811034 1.93991i
\(491\) 7.46559 7.46559i 0.336918 0.336918i −0.518288 0.855206i \(-0.673431\pi\)
0.855206 + 0.518288i \(0.173431\pi\)
\(492\) −3.21343 13.2476i −0.144872 0.597249i
\(493\) 3.98652 3.98652i 0.179544 0.179544i
\(494\) 11.7895 41.9911i 0.530433 1.88927i
\(495\) −3.88412 0.451373i −0.174578 0.0202877i
\(496\) 7.05067 + 13.6784i 0.316585 + 0.614177i
\(497\) 29.0462i 1.30290i
\(498\) 9.39819 + 2.63864i 0.421143 + 0.118240i
\(499\) 6.75434 + 6.75434i 0.302366 + 0.302366i 0.841939 0.539573i \(-0.181414\pi\)
−0.539573 + 0.841939i \(0.681414\pi\)
\(500\) −2.43477 + 22.2277i −0.108886 + 0.994054i
\(501\) 16.1438 16.1438i 0.721251 0.721251i
\(502\) −13.1858 23.4801i −0.588510 1.04797i
\(503\) 27.5418 1.22803 0.614014 0.789295i \(-0.289554\pi\)
0.614014 + 0.789295i \(0.289554\pi\)
\(504\) −8.98156 9.64773i −0.400070 0.429744i
\(505\) −2.98609 + 25.6957i −0.132879 + 1.14344i
\(506\) 0.865761 + 1.54167i 0.0384877 + 0.0685358i
\(507\) −14.8680 14.8680i −0.660311 0.660311i
\(508\) −9.23645 + 15.1523i −0.409801 + 0.672277i
\(509\) −15.9180 15.9180i −0.705552 0.705552i 0.260044 0.965597i \(-0.416263\pi\)
−0.965597 + 0.260044i \(0.916263\pi\)
\(510\) 3.85139 9.38540i 0.170542 0.415592i
\(511\) −24.9016 −1.10158
\(512\) 14.1957 + 17.6205i 0.627366 + 0.778725i
\(513\) 5.28700i 0.233427i
\(514\) −33.5332 9.41482i −1.47909 0.415270i
\(515\) −8.72833 + 6.91090i −0.384616 + 0.304530i
\(516\) −3.18192 1.93961i −0.140076 0.0853867i
\(517\) 1.46438 + 1.46438i 0.0644036 + 0.0644036i
\(518\) 18.9613 10.6481i 0.833111 0.467851i
\(519\) 5.84113i 0.256397i
\(520\) 21.8530 + 29.7238i 0.958318 + 1.30348i
\(521\) 0.0475676i 0.00208397i 0.999999 + 0.00104199i \(0.000331675\pi\)
−0.999999 + 0.00104199i \(0.999668\pi\)
\(522\) 1.21691 + 2.16697i 0.0532627 + 0.0948458i
\(523\) −29.1859 29.1859i −1.27621 1.27621i −0.942773 0.333436i \(-0.891792\pi\)
−0.333436 0.942773i \(-0.608208\pi\)
\(524\) −4.32318 17.8227i −0.188859 0.778587i
\(525\) 12.2591 + 19.8160i 0.535030 + 0.864842i
\(526\) 2.93175 10.4422i 0.127830 0.455300i
\(527\) 12.3421i 0.537628i
\(528\) 6.21749 3.20487i 0.270581 0.139474i
\(529\) −22.4888 −0.977775
\(530\) 15.8789 38.6951i 0.689736 1.68081i
\(531\) 6.22646 + 6.22646i 0.270206 + 0.270206i
\(532\) 11.6163 + 47.8893i 0.503631 + 2.07626i
\(533\) 28.1136 + 28.1136i 1.21774 + 1.21774i
\(534\) −2.71892 + 1.52687i −0.117659 + 0.0660742i
\(535\) −11.2312 1.30518i −0.485569 0.0564279i
\(536\) −0.911667 + 25.4945i −0.0393780 + 1.10119i
\(537\) 16.8767 0.728285
\(538\) −5.66454 + 3.18105i −0.244216 + 0.137145i
\(539\) 18.1997 18.1997i 0.783919 0.783919i
\(540\) 3.52438 + 2.75295i 0.151665 + 0.118468i
\(541\) −0.810856 0.810856i −0.0348614 0.0348614i 0.689461 0.724323i \(-0.257847\pi\)
−0.724323 + 0.689461i \(0.757847\pi\)
\(542\) 8.77921 31.2694i 0.377099 1.34313i
\(543\) 21.6259i 0.928054i
\(544\) 3.64498 + 17.7779i 0.156277 + 0.762222i
\(545\) −22.2608 2.58692i −0.953547 0.110812i
\(546\) 37.0136 + 10.3920i 1.58404 + 0.444736i
\(547\) −18.7910 + 18.7910i −0.803445 + 0.803445i −0.983632 0.180187i \(-0.942330\pi\)
0.180187 + 0.983632i \(0.442330\pi\)
\(548\) 17.4946 + 10.6642i 0.747330 + 0.455552i
\(549\) −4.44284 + 4.44284i −0.189616 + 0.189616i
\(550\) −11.8827 + 3.42082i −0.506681 + 0.145864i
\(551\) 9.29117i 0.395817i
\(552\) 0.0722666 2.02091i 0.00307587 0.0860157i
\(553\) 60.7120 2.58174
\(554\) 35.9247 20.1743i 1.52630 0.857124i
\(555\) −5.78448 + 4.58003i −0.245538 + 0.194411i
\(556\) −8.81616 + 2.13850i −0.373888 + 0.0906927i
\(557\) −30.7121 + 30.7121i −1.30132 + 1.30132i −0.373810 + 0.927505i \(0.621949\pi\)
−0.927505 + 0.373810i \(0.878051\pi\)
\(558\) −5.23817 1.47067i −0.221749 0.0622585i
\(559\) 10.8687 0.459698
\(560\) −37.9722 17.1924i −1.60462 0.726512i
\(561\) 5.61006 0.236857
\(562\) 11.3655 + 3.19098i 0.479424 + 0.134603i
\(563\) −20.7316 + 20.7316i −0.873734 + 0.873734i −0.992877 0.119143i \(-0.961985\pi\)
0.119143 + 0.992877i \(0.461985\pi\)
\(564\) −0.558335 2.30179i −0.0235102 0.0969227i
\(565\) 4.94799 + 6.24922i 0.208164 + 0.262907i
\(566\) −20.6251 + 11.5825i −0.866937 + 0.486848i
\(567\) 4.66030 0.195714
\(568\) 12.0120 + 12.9029i 0.504011 + 0.541394i
\(569\) 23.9776i 1.00519i −0.864521 0.502596i \(-0.832378\pi\)
0.864521 0.502596i \(-0.167622\pi\)
\(570\) −6.44892 15.4251i −0.270115 0.646088i
\(571\) 6.40838 6.40838i 0.268182 0.268182i −0.560185 0.828367i \(-0.689270\pi\)
0.828367 + 0.560185i \(0.189270\pi\)
\(572\) −10.6188 + 17.4200i −0.443993 + 0.728368i
\(573\) −8.38444 + 8.38444i −0.350265 + 0.350265i
\(574\) −43.2490 12.1426i −1.80518 0.506823i
\(575\) −0.819779 + 3.47952i −0.0341872 + 0.145106i
\(576\) −7.97957 0.571420i −0.332482 0.0238092i
\(577\) 8.75032i 0.364281i −0.983273 0.182140i \(-0.941697\pi\)
0.983273 0.182140i \(-0.0583025\pi\)
\(578\) 2.56434 9.13355i 0.106663 0.379906i
\(579\) −6.31924 6.31924i −0.262619 0.262619i
\(580\) 6.19362 + 4.83793i 0.257176 + 0.200884i
\(581\) 22.7459 22.7459i 0.943660 0.943660i
\(582\) 9.11561 5.11907i 0.377854 0.212192i
\(583\) 23.1298 0.957938
\(584\) −11.0618 + 10.2979i −0.457739 + 0.426132i
\(585\) −12.9563 1.50565i −0.535677 0.0622509i
\(586\) −8.78055 + 4.93091i −0.362721 + 0.203694i
\(587\) −19.3790 19.3790i −0.799857 0.799857i 0.183216 0.983073i \(-0.441349\pi\)
−0.983073 + 0.183216i \(0.941349\pi\)
\(588\) −28.6072 + 6.93913i −1.17974 + 0.286165i
\(589\) 14.3825 + 14.3825i 0.592620 + 0.592620i
\(590\) 25.7609 + 10.5712i 1.06056 + 0.435211i
\(591\) 14.5478 0.598416
\(592\) 4.01948 12.5715i 0.165200 0.516684i
\(593\) 19.4757i 0.799769i −0.916565 0.399885i \(-0.869050\pi\)
0.916565 0.399885i \(-0.130950\pi\)
\(594\) −0.668492 + 2.38100i −0.0274286 + 0.0976936i
\(595\) −20.7524 26.2098i −0.850764 1.07450i
\(596\) 41.0257 9.95144i 1.68048 0.407627i
\(597\) −10.9253 10.9253i −0.447144 0.447144i
\(598\) 2.88793 + 5.14258i 0.118096 + 0.210296i
\(599\) 18.8857i 0.771651i −0.922572 0.385825i \(-0.873917\pi\)
0.922572 0.385825i \(-0.126083\pi\)
\(600\) 13.6406 + 3.73296i 0.556874 + 0.152398i
\(601\) 38.2498i 1.56024i −0.625630 0.780120i \(-0.715158\pi\)
0.625630 0.780120i \(-0.284842\pi\)
\(602\) −10.7072 + 6.01286i −0.436393 + 0.245066i
\(603\) −6.37769 6.37769i −0.259720 0.259720i
\(604\) 21.1024 34.6184i 0.858646 1.40860i
\(605\) 11.0239 + 13.9230i 0.448185 + 0.566049i
\(606\) 15.7517 + 4.42246i 0.639869 + 0.179650i
\(607\) 11.3757i 0.461724i 0.972986 + 0.230862i \(0.0741546\pi\)
−0.972986 + 0.230862i \(0.925845\pi\)
\(608\) 24.9646 + 16.4695i 1.01245 + 0.667925i
\(609\) 8.18983 0.331869
\(610\) −7.54303 + 18.3815i −0.305408 + 0.744246i
\(611\) 4.88476 + 4.88476i 0.197616 + 0.197616i
\(612\) −5.47857 3.33958i −0.221458 0.134995i
\(613\) −8.38974 8.38974i −0.338859 0.338859i 0.517079 0.855938i \(-0.327019\pi\)
−0.855938 + 0.517079i \(0.827019\pi\)
\(614\) 7.93112 + 14.1231i 0.320074 + 0.569961i
\(615\) 15.1389 + 1.75929i 0.610461 + 0.0709415i
\(616\) 0.823743 23.0357i 0.0331896 0.928135i
\(617\) 46.6201 1.87686 0.938428 0.345476i \(-0.112282\pi\)
0.938428 + 0.345476i \(0.112282\pi\)
\(618\) 3.44767 + 6.13932i 0.138686 + 0.246960i
\(619\) 2.78509 2.78509i 0.111942 0.111942i −0.648917 0.760859i \(-0.724778\pi\)
0.760859 + 0.648917i \(0.224778\pi\)
\(620\) −17.0765 + 2.09857i −0.685811 + 0.0842807i
\(621\) 0.505551 + 0.505551i 0.0202871 + 0.0202871i
\(622\) −11.4264 3.20809i −0.458157 0.128633i
\(623\) 10.2759i 0.411694i
\(624\) 20.7397 10.6905i 0.830254 0.427964i
\(625\) −22.3706 11.1606i −0.894822 0.446423i
\(626\) −7.01781 + 24.9957i −0.280488 + 0.999029i
\(627\) 6.53754 6.53754i 0.261084 0.261084i
\(628\) 22.2575 5.39892i 0.888172 0.215440i
\(629\) 7.48504 7.48504i 0.298448 0.298448i
\(630\) 13.5967 5.68448i 0.541706 0.226475i
\(631\) 24.5670i 0.977997i 0.872285 + 0.488998i \(0.162638\pi\)
−0.872285 + 0.488998i \(0.837362\pi\)
\(632\) 26.9695 25.1072i 1.07279 0.998713i
\(633\) −15.9727 −0.634858
\(634\) −0.504266 0.897954i −0.0200270 0.0356623i
\(635\) −12.3159 15.5548i −0.488742 0.617272i
\(636\) −22.5876 13.7688i −0.895658 0.545969i
\(637\) 60.7091 60.7091i 2.40538 2.40538i
\(638\) −1.17478 + 4.18428i −0.0465101 + 0.165657i
\(639\) −6.23269 −0.246562
\(640\) −23.9779 + 8.06607i −0.947809 + 0.318839i
\(641\) 24.1073 0.952179 0.476090 0.879397i \(-0.342054\pi\)
0.476090 + 0.879397i \(0.342054\pi\)
\(642\) −1.93300 + 6.88486i −0.0762894 + 0.271724i
\(643\) −5.61417 + 5.61417i −0.221401 + 0.221401i −0.809088 0.587687i \(-0.800039\pi\)
0.587687 + 0.809088i \(0.300039\pi\)
\(644\) −5.69001 3.46847i −0.224218 0.136677i
\(645\) 3.26643 2.58629i 0.128615 0.101835i
\(646\) 11.7450 + 20.9146i 0.462102 + 0.822873i
\(647\) −12.5530 −0.493508 −0.246754 0.969078i \(-0.579364\pi\)
−0.246754 + 0.969078i \(0.579364\pi\)
\(648\) 2.07020 1.92725i 0.0813250 0.0757095i
\(649\) 15.3984i 0.604442i
\(650\) −39.6373 + 11.4109i −1.55470 + 0.447571i
\(651\) −12.6776 + 12.6776i −0.496876 + 0.496876i
\(652\) −15.7242 + 3.81415i −0.615806 + 0.149374i
\(653\) −34.4380 + 34.4380i −1.34766 + 1.34766i −0.459466 + 0.888196i \(0.651959\pi\)
−0.888196 + 0.459466i \(0.848041\pi\)
\(654\) −3.83128 + 13.6461i −0.149815 + 0.533603i
\(655\) 20.3671 + 2.36686i 0.795810 + 0.0924809i
\(656\) −24.2336 + 12.4915i −0.946163 + 0.487710i
\(657\) 5.34334i 0.208464i
\(658\) −7.51455 2.10979i −0.292948 0.0822482i
\(659\) 21.2540 + 21.2540i 0.827940 + 0.827940i 0.987232 0.159292i \(-0.0509210\pi\)
−0.159292 + 0.987232i \(0.550921\pi\)
\(660\) 0.953904 + 7.76212i 0.0371307 + 0.302140i
\(661\) −1.82514 + 1.82514i −0.0709896 + 0.0709896i −0.741710 0.670721i \(-0.765985\pi\)
0.670721 + 0.741710i \(0.265985\pi\)
\(662\) −18.6388 33.1905i −0.724419 1.28999i
\(663\) 18.7135 0.726774
\(664\) 0.697691 19.5107i 0.0270756 0.757162i
\(665\) −54.7262 6.35972i −2.12219 0.246619i
\(666\) 2.28486 + 4.06868i 0.0885364 + 0.157658i
\(667\) 0.888436 + 0.888436i 0.0344004 + 0.0344004i
\(668\) −38.9888 23.7665i −1.50852 0.919554i
\(669\) 3.45811 + 3.45811i 0.133698 + 0.133698i
\(670\) −26.3866 10.8280i −1.01940 0.418322i
\(671\) −10.9874 −0.424165
\(672\) −14.5172 + 22.0054i −0.560014 + 0.848877i
\(673\) 8.51817i 0.328351i −0.986431 0.164176i \(-0.947504\pi\)
0.986431 0.164176i \(-0.0524964\pi\)
\(674\) 23.5735 + 6.61852i 0.908018 + 0.254936i
\(675\) −4.25209 + 2.63054i −0.163663 + 0.101249i
\(676\) −21.8883 + 35.9076i −0.841858 + 1.38106i
\(677\) −19.0779 19.0779i −0.733223 0.733223i 0.238034 0.971257i \(-0.423497\pi\)
−0.971257 + 0.238034i \(0.923497\pi\)
\(678\) 4.39557 2.46843i 0.168811 0.0947993i
\(679\) 34.4514i 1.32212i
\(680\) −20.0576 3.06086i −0.769173 0.117378i
\(681\) 3.53153i 0.135329i
\(682\) −4.65863 8.29569i −0.178388 0.317658i
\(683\) 13.3669 + 13.3669i 0.511471 + 0.511471i 0.914977 0.403506i \(-0.132209\pi\)
−0.403506 + 0.914977i \(0.632209\pi\)
\(684\) −10.2760 + 2.49261i −0.392913 + 0.0953074i
\(685\) −17.9592 + 14.2197i −0.686185 + 0.543306i
\(686\) −13.7504 + 48.9755i −0.524993 + 1.86989i
\(687\) 8.93433i 0.340866i
\(688\) −2.26975 + 7.09896i −0.0865335 + 0.270645i
\(689\) 77.1543 2.93934
\(690\) 2.09163 + 0.858321i 0.0796270 + 0.0326757i
\(691\) −15.4008 15.4008i −0.585874 0.585874i 0.350638 0.936511i \(-0.385965\pi\)
−0.936511 + 0.350638i \(0.885965\pi\)
\(692\) 11.3530 2.75386i 0.431578 0.104686i
\(693\) 5.76261 + 5.76261i 0.218903 + 0.218903i
\(694\) −13.5652 + 7.61785i −0.514929 + 0.289170i
\(695\) 1.17079 10.0748i 0.0444106 0.382159i
\(696\) 3.63808 3.38687i 0.137901 0.128379i
\(697\) −21.8661 −0.828236
\(698\) 33.1179 18.5981i 1.25353 0.703948i
\(699\) −6.42616 + 6.42616i −0.243060 + 0.243060i
\(700\) 32.7355 33.1697i 1.23728 1.25370i
\(701\) −13.1486 13.1486i −0.496614 0.496614i 0.413768 0.910382i \(-0.364212\pi\)
−0.910382 + 0.413768i \(0.864212\pi\)
\(702\) −2.22990 + 7.94233i −0.0841620 + 0.299764i
\(703\) 17.4450i 0.657951i
\(704\) −9.16041 10.5736i −0.345246 0.398506i
\(705\) 2.63040 + 0.305678i 0.0990666 + 0.0115125i
\(706\) −26.0020 7.30036i −0.978600 0.274753i
\(707\) 38.1230 38.1230i 1.43376 1.43376i
\(708\) 9.16646 15.0375i 0.344496 0.565145i
\(709\) −17.8125 + 17.8125i −0.668963 + 0.668963i −0.957476 0.288513i \(-0.906839\pi\)
0.288513 + 0.957476i \(0.406839\pi\)
\(710\) −18.1843 + 7.60245i −0.682444 + 0.285315i
\(711\) 13.0275i 0.488569i
\(712\) 4.24955 + 4.56474i 0.159259 + 0.171071i
\(713\) −2.75055 −0.103009
\(714\) −18.4354 + 10.3528i −0.689929 + 0.387445i
\(715\) −14.1591 17.8827i −0.529520 0.668773i
\(716\) −7.95672 32.8023i −0.297357 1.22588i
\(717\) −7.41876 + 7.41876i −0.277058 + 0.277058i
\(718\) 38.2795 + 10.7474i 1.42858 + 0.401089i
\(719\) −15.2289 −0.567940 −0.283970 0.958833i \(-0.591652\pi\)
−0.283970 + 0.958833i \(0.591652\pi\)
\(720\) 3.68912 8.14803i 0.137486 0.303659i
\(721\) 23.2029 0.864120
\(722\) 12.1892 + 3.42226i 0.453637 + 0.127363i
\(723\) −5.67868 + 5.67868i −0.211193 + 0.211193i
\(724\) −42.0328 + 10.1957i −1.56214 + 0.378922i
\(725\) −7.47246 + 4.62280i −0.277520 + 0.171687i
\(726\) 9.79311 5.49954i 0.363457 0.204107i
\(727\) −40.6950 −1.50930 −0.754648 0.656130i \(-0.772192\pi\)
−0.754648 + 0.656130i \(0.772192\pi\)
\(728\) 2.74777 76.8404i 0.101839 2.84790i
\(729\) 1.00000i 0.0370370i
\(730\) −6.51764 15.5895i −0.241229 0.576994i
\(731\) −4.22671 + 4.22671i −0.156331 + 0.156331i
\(732\) 10.7299 + 6.54065i 0.396589 + 0.241749i
\(733\) −18.7002 + 18.7002i −0.690709 + 0.690709i −0.962388 0.271679i \(-0.912421\pi\)
0.271679 + 0.962388i \(0.412421\pi\)
\(734\) −21.1571 5.94008i −0.780922 0.219252i
\(735\) 3.79905 32.6913i 0.140130 1.20584i
\(736\) −3.96199 + 0.812320i −0.146041 + 0.0299425i
\(737\) 15.7724i 0.580985i
\(738\) 2.60555 9.28031i 0.0959115 0.341613i
\(739\) −8.72044 8.72044i −0.320786 0.320786i 0.528282 0.849069i \(-0.322836\pi\)
−0.849069 + 0.528282i \(0.822836\pi\)
\(740\) 11.6291 + 9.08364i 0.427493 + 0.333921i
\(741\) 21.8074 21.8074i 0.801113 0.801113i
\(742\) −76.0076 + 42.6837i −2.79033 + 1.56697i
\(743\) −14.2625 −0.523240 −0.261620 0.965171i \(-0.584257\pi\)
−0.261620 + 0.965171i \(0.584257\pi\)
\(744\) −0.388864 + 10.8745i −0.0142565 + 0.398677i
\(745\) −5.44823 + 46.8827i −0.199608 + 1.71765i
\(746\) −1.28908 + 0.723908i −0.0471964 + 0.0265042i
\(747\) 4.88079 + 4.88079i 0.178579 + 0.178579i
\(748\) −2.64492 10.9039i −0.0967080 0.398687i
\(749\) 16.6630 + 16.6630i 0.608855 + 0.608855i
\(750\) −9.19709 + 12.8613i −0.335830 + 0.469629i
\(751\) 25.6200 0.934888 0.467444 0.884023i \(-0.345175\pi\)
0.467444 + 0.884023i \(0.345175\pi\)
\(752\) −4.21060 + 2.17040i −0.153545 + 0.0791465i
\(753\) 19.0418i 0.693922i
\(754\) −3.91873 + 13.9575i −0.142712 + 0.508304i
\(755\) 28.1380 + 35.5378i 1.02405 + 1.29335i
\(756\) −2.19715 9.05793i −0.0799094 0.329434i
\(757\) −3.26487 3.26487i −0.118664 0.118664i 0.645281 0.763945i \(-0.276740\pi\)
−0.763945 + 0.645281i \(0.776740\pi\)
\(758\) 0.957576 + 1.70517i 0.0347807 + 0.0619346i
\(759\) 1.25026i 0.0453816i
\(760\) −26.9405 + 19.8067i −0.977234 + 0.718464i
\(761\) 47.1913i 1.71068i 0.518065 + 0.855341i \(0.326652\pi\)
−0.518065 + 0.855341i \(0.673348\pi\)
\(762\) −10.9409 + 6.14409i −0.396346 + 0.222577i
\(763\) 33.0268 + 33.0268i 1.19565 + 1.19565i
\(764\) 20.2492 + 12.3434i 0.732592 + 0.446568i
\(765\) 5.62407 4.45301i 0.203339 0.160999i
\(766\) 21.9932 + 6.17484i 0.794648 + 0.223106i
\(767\) 51.3648i 1.85467i
\(768\) 2.65142 + 15.7788i 0.0956748 + 0.569368i
\(769\) 14.1306 0.509563 0.254781 0.966999i \(-0.417997\pi\)
0.254781 + 0.966999i \(0.417997\pi\)
\(770\) 23.8418 + 9.78371i 0.859199 + 0.352581i
\(771\) −17.4149 17.4149i −0.627183 0.627183i
\(772\) −9.30303 + 15.2616i −0.334824 + 0.549276i
\(773\) −18.3760 18.3760i −0.660938 0.660938i 0.294663 0.955601i \(-0.404793\pi\)
−0.955601 + 0.294663i \(0.904793\pi\)
\(774\) −1.29023 2.29754i −0.0463764 0.0825832i
\(775\) 4.41120 18.7232i 0.158455