Properties

Label 240.2.bl.a.109.11
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 109.11
Character \(\chi\) \(=\) 240.109
Dual form 240.2.bl.a.229.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.382275 + 1.36157i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.70773 - 1.04099i) q^{4} +(1.38805 - 1.75308i) q^{5} +(-0.692464 - 1.23308i) q^{6} +4.66030 q^{7} +(2.07020 - 1.92725i) q^{8} -1.00000i q^{9} +O(q^{10})\) \(q+(-0.382275 + 1.36157i) q^{2} +(-0.707107 + 0.707107i) q^{3} +(-1.70773 - 1.04099i) q^{4} +(1.38805 - 1.75308i) q^{5} +(-0.692464 - 1.23308i) q^{6} +4.66030 q^{7} +(2.07020 - 1.92725i) q^{8} -1.00000i q^{9} +(1.85633 + 2.56009i) 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} +(-4.19536 + 1.54885i) 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} +(-3.12288 - 0.497636i) q^{30} +3.84716 q^{31} +(-5.54158 + 1.13618i) q^{32} +1.74872i q^{33} +(4.36804 + 1.22637i) q^{34} +(6.46874 - 8.16990i) q^{35} +(-1.04099 + 1.70773i) q^{36} +(2.33317 + 2.33317i) q^{37} +(-6.51931 + 3.66106i) q^{38} -5.83322i q^{39} +(-0.505089 - 6.30435i) q^{40} +6.81590i q^{41} +(-3.22709 - 5.74653i) q^{42} +(-1.31751 - 1.31751i) q^{43} +(-3.39888 + 0.824453i) q^{44} +(-1.75308 - 1.38805i) q^{45} +(-0.273310 + 0.973462i) q^{46} -1.18427i q^{47} +(-3.80999 - 1.21817i) q^{48} +14.7184 q^{49} +(7.06473 + 0.299245i) 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} +(1.87136 - 4.06177i) 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} +(8.65103 + 11.9308i) q^{70} -6.23269i q^{71} +(-1.92725 - 2.07020i) q^{72} -5.34334 q^{73} +(-4.06868 + 2.28486i) q^{74} +(4.25209 + 2.63054i) q^{75} +(-2.49261 - 10.2760i) q^{76} +(5.76261 - 5.76261i) q^{77} +(7.94233 + 2.22990i) q^{78} -13.0275 q^{79} +(8.77689 + 1.72228i) q^{80} -1.00000 q^{81} +(-9.28031 - 2.60555i) q^{82} +(4.88079 - 4.88079i) q^{83} +(9.05793 - 2.19715i) q^{84} +(-5.62407 - 4.45301i) q^{85} +(2.29754 - 1.29023i) q^{86} +1.75736 q^{87} +(0.176758 - 4.94297i) q^{88} -2.20498i q^{89} +(2.56009 - 1.85633i) 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
\(5\) 1.38805 1.75308i 0.620757 0.784003i
\(6\) −0.692464 1.23308i −0.282697 0.503404i
\(7\) 4.66030 1.76143 0.880714 0.473649i \(-0.157064\pi\)
0.880714 + 0.473649i \(0.157064\pi\)
\(8\) 2.07020 1.92725i 0.731925 0.681386i
\(9\) 1.00000i 0.333333i
\(10\) 1.85633 + 2.56009i 0.587022 + 0.809571i
\(11\) 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 \(0.549949\pi\)
−0.987713 + 0.156276i \(0.950051\pi\)
\(14\) −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 \(-0.872807\pi\)
0.921221 0.389039i \(-0.127193\pi\)
\(18\) 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 \(0.542589\pi\)
\(20\) −4.19536 + 1.54885i −0.938111 + 0.346334i
\(21\) −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 \(-0.476251\pi\)
0.0745394 + 0.997218i \(0.476251\pi\)
\(24\) −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 \(0.802171\pi\)
\(30\) −3.12288 0.497636i −0.570157 0.0908555i
\(31\) 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
\(35\) 6.46874 8.16990i 1.09342 1.38096i
\(36\) −1.04099 + 1.70773i −0.173498 + 0.284622i
\(37\) 2.33317 + 2.33317i 0.383571 + 0.383571i 0.872387 0.488816i \(-0.162571\pi\)
−0.488816 + 0.872387i \(0.662571\pi\)
\(38\) −6.51931 + 3.66106i −1.05757 + 0.593902i
\(39\) 5.83322i 0.934064i
\(40\) −0.505089 6.30435i −0.0798616 0.996806i
\(41\) 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 0.599475 0.800394i \(-0.295376\pi\)
−0.800394 + 0.599475i \(0.795376\pi\)
\(44\) −3.39888 + 0.824453i −0.512400 + 0.124291i
\(45\) −1.75308 1.38805i −0.261334 0.206919i
\(46\) −0.273310 + 0.973462i −0.0402974 + 0.143529i
\(47\) 1.18427i 0.172743i −0.996263 0.0863716i \(-0.972473\pi\)
0.996263 0.0863716i \(-0.0275272\pi\)
\(48\) −3.80999 1.21817i −0.549925 0.175828i
\(49\) 14.7184 2.10263
\(50\) 7.06473 + 0.299245i 0.999104 + 0.0423197i
\(51\) 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 \(-0.887295\pi\)
−0.346722 0.937968i \(-0.612705\pi\)
\(54\) −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 \(0.444295\pi\)
\(60\) 1.87136 4.06177i 0.241592 0.524373i
\(61\) −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 −0.979688 0.200529i \(-0.935734\pi\)
0.200529 + 0.979688i \(0.435734\pi\)
\(68\) −3.33958 + 5.47857i −0.404984 + 0.664374i
\(69\) −0.505551 + 0.505551i −0.0608612 + 0.0608612i
\(70\) 8.65103 + 11.9308i 1.03400 + 1.42600i
\(71\) 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 \(-0.601232\pi\)
−0.312695 + 0.949853i \(0.601232\pi\)
\(74\) −4.06868 + 2.28486i −0.472975 + 0.265609i
\(75\) 4.25209 + 2.63054i 0.490989 + 0.303748i
\(76\) −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 \(0.761812\pi\)
\(80\) 8.77689 + 1.72228i 0.981286 + 0.192557i
\(81\) −1.00000 −0.111111
\(82\) −9.28031 2.60555i −1.02484 0.287735i
\(83\) 4.88079 4.88079i 0.535736 0.535736i −0.386537 0.922274i \(-0.626329\pi\)
0.922274 + 0.386537i \(0.126329\pi\)
\(84\) 9.05793 2.19715i 0.988301 0.239728i
\(85\) −5.62407 4.45301i −0.610016 0.482997i
\(86\) 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 \(-0.0372841\pi\)
\(90\) 2.56009 1.85633i 0.269857 0.195674i
\(91\) −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 \(-0.877540\pi\)
0.926904 0.375299i \(-0.122460\pi\)
\(98\) −5.62647 + 20.0401i −0.568359 + 2.02435i
\(99\) −1.23653 1.23653i −0.124276 0.124276i
\(100\) −3.10811 + 9.50472i −0.310811 + 0.950472i
\(101\) −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 \(-0.421117\pi\)
0.245290 + 0.969450i \(0.421117\pi\)
\(104\) −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 0.858490 0.512830i \(-0.171403\pi\)
−0.512830 + 0.858490i \(0.671403\pi\)
\(108\) −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 \(0.909357\pi\)
\(110\) 5.46104 + 0.870226i 0.520690 + 0.0829728i
\(111\) −3.29960 −0.313184
\(112\) 8.54091 + 16.5695i 0.807040 + 1.56567i
\(113\) 3.56470i 0.335339i −0.985843 0.167669i \(-0.946376\pi\)
0.985843 0.167669i \(-0.0536241\pi\)
\(114\) 2.02109 7.19861i 0.189292 0.674211i
\(115\) 0.992399 1.25338i 0.0925417 0.116878i
\(116\) 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
\(120\) 4.81500 + 4.10070i 0.439548 + 0.374341i
\(121\) 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
\(125\) −10.1234 4.74520i −0.905464 0.424424i
\(126\) 6.34531 + 1.78151i 0.565285 + 0.158710i
\(127\) 8.87279i 0.787333i 0.919253 + 0.393666i \(0.128793\pi\)
−0.919253 + 0.393666i \(0.871207\pi\)
\(128\) 10.6463 + 3.82841i 0.941007 + 0.338387i
\(129\) 1.86325 0.164050
\(130\) −18.2164 2.90282i −1.59769 0.254594i
\(131\) 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 \(-0.355823\pi\)
0.437616 + 0.899162i \(0.355823\pi\)
\(138\) −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 \(0.188384\pi\)
\(140\) −19.5516 + 7.21812i −1.65241 + 0.610043i
\(141\) 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 \(0.917569\pi\)
\(150\) −5.20712 + 4.78392i −0.425159 + 0.390606i
\(151\) 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
\(155\) 5.34006 6.74439i 0.428924 0.541723i
\(156\) −6.07231 + 9.96158i −0.486174 + 0.797565i
\(157\) 8.09742 8.09742i 0.646245 0.646245i −0.305839 0.952083i \(-0.598937\pi\)
0.952083 + 0.305839i \(0.0989369\pi\)
\(158\) 4.98009 17.7378i 0.396194 1.41115i
\(159\) 13.2267 1.04894
\(160\) −5.70019 + 11.2919i −0.450639 + 0.892706i
\(161\) 3.33191 0.262592
\(162\) 0.382275 1.36157i 0.0300343 0.106975i
\(163\) −5.72054 + 5.72054i −0.448067 + 0.448067i −0.894712 0.446644i \(-0.852619\pi\)
0.446644 + 0.894712i \(0.352619\pi\)
\(164\) 7.09526 11.6397i 0.554046 0.908910i
\(165\) 3.06566 + 2.42732i 0.238661 + 0.188966i
\(166\) 4.77972 + 8.51133i 0.370978 + 0.660607i
\(167\) −22.8308 −1.76670 −0.883349 0.468716i \(-0.844717\pi\)
−0.883349 + 0.468716i \(0.844717\pi\)
\(168\) −0.471055 + 13.1729i −0.0363427 + 1.01631i
\(169\) 21.0265i 1.61742i
\(170\) 8.21301 5.95527i 0.629909 0.456748i
\(171\) 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 −0.532444 0.846465i \(-0.678726\pi\)
0.846465 + 0.532444i \(0.178726\pi\)
\(174\) −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 \(0.532762\pi\)
\(180\) 1.54885 + 4.19536i 0.115445 + 0.312704i
\(181\) 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
\(190\) −2.63100 + 16.5106i −0.190873 + 1.19781i
\(191\) −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 \(0.104234\pi\)
−0.946862 + 0.321641i \(0.895766\pi\)
\(194\) 10.0654 + 2.82598i 0.722656 + 0.202894i
\(195\) −10.2261 8.09683i −0.732309 0.579826i
\(196\) −25.1350 15.3216i −1.79536 1.09440i
\(197\) −10.2868 10.2868i −0.732907 0.732907i 0.238288 0.971195i \(-0.423414\pi\)
−0.971195 + 0.238288i \(0.923414\pi\)
\(198\) 2.15632 1.21093i 0.153243 0.0860568i
\(199\) 15.4507i 1.09527i −0.836716 0.547637i \(-0.815527\pi\)
0.836716 0.547637i \(-0.184473\pi\)
\(200\) −11.7532 7.86532i −0.831074 0.556162i
\(201\) 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
\(205\) 11.9489 + 9.46083i 0.834544 + 0.660773i
\(206\) −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
\(210\) −14.5535 2.31913i −1.00429 0.160035i
\(211\) −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
\(220\) −3.27249 + 7.10291i −0.220631 + 0.478878i
\(221\) 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 \(-0.947642\pi\)
0.986502 0.163746i \(-0.0523579\pi\)
\(224\) −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 −0.785105 0.619362i \(-0.787391\pi\)
0.619362 + 0.785105i \(0.287391\pi\)
\(228\) 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 \(0.345386\pi\)
\(230\) 1.32719 + 1.83035i 0.0875125 + 0.120690i
\(231\) 8.14956i 0.536202i
\(232\) −4.96739 0.177631i −0.326125 0.0116621i
\(233\) 9.08796 0.595372 0.297686 0.954664i \(-0.403785\pi\)
0.297686 + 0.954664i \(0.403785\pi\)
\(234\) −7.19285 + 4.03930i −0.470211 + 0.264057i
\(235\) −2.07612 1.64383i −0.135431 0.107231i
\(236\) 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 \(0.610199\pi\)
\(240\) −7.42403 + 4.98836i −0.479219 + 0.321997i
\(241\) −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
\(245\) 20.4299 25.8026i 1.30522 1.64847i
\(246\) 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
\(250\) 10.3308 11.9697i 0.653379 0.757031i
\(251\) 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 \(0.278817\pi\)
−0.640283 + 0.768139i \(0.721183\pi\)
\(258\) −0.712272 + 2.53694i −0.0443441 + 0.157943i
\(259\) 10.8733 + 10.8733i 0.675632 + 0.675632i
\(260\) 10.9161 23.6932i 0.676986 1.46939i
\(261\) −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 \(-0.575985\pi\)
−0.236452 + 0.971643i \(0.575985\pi\)
\(264\) 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 \(0.794725\pi\)
\(270\) −0.497636 + 3.12288i −0.0302852 + 0.190052i
\(271\) 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
\(275\) −7.43572 4.60007i −0.448391 0.277395i
\(276\) 1.38962 0.337074i 0.0836451 0.0202895i
\(277\) −20.6009 20.6009i −1.23779 1.23779i −0.960903 0.276885i \(-0.910698\pi\)
−0.276885 0.960903i \(-0.589302\pi\)
\(278\) 3.14095 + 5.59315i 0.188382 + 0.335455i
\(279\) 3.84716i 0.230323i
\(280\) −2.35387 29.3802i −0.140670 1.75580i
\(281\) 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 0.965067 0.262002i \(-0.0843828\pi\)
−0.262002 + 0.965067i \(0.584383\pi\)
\(284\) −6.48815 + 10.6438i −0.385001 + 0.631592i
\(285\) −7.33864 + 9.26856i −0.434703 + 0.549022i
\(286\) −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
\(290\) 0.874527 5.48802i 0.0513540 0.322268i
\(291\) 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 0.838720 0.544562i \(-0.183304\pi\)
−0.544562 + 0.838720i \(0.683304\pi\)
\(294\) −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
\(300\) −4.52308 8.91862i −0.261140 0.514917i
\(301\) −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 −0.437159 0.899384i \(-0.644015\pi\)
0.899384 + 0.437159i \(0.144015\pi\)
\(308\) −15.8398 + 3.84219i −0.902555 + 0.218929i
\(309\) −3.52057 + 3.52057i −0.200278 + 0.200278i
\(310\) 7.14158 + 9.84907i 0.405614 + 0.559389i
\(311\) 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 \(-0.326368\pi\)
0.518829 + 0.854878i \(0.326368\pi\)
\(314\) 7.92974 + 14.1206i 0.447501 + 0.796873i
\(315\) −8.16990 6.46874i −0.460322 0.364472i
\(316\) 22.2475 + 13.5614i 1.25152 + 0.762891i
\(317\) −0.514929 + 0.514929i −0.0289213 + 0.0289213i −0.721420 0.692498i \(-0.756510\pi\)
0.692498 + 0.721420i \(0.256510\pi\)
\(318\) −5.05623 + 18.0090i −0.283539 + 1.00990i
\(319\) −3.07313 −0.172062
\(320\) −13.1957 12.0778i −0.737662 0.675170i
\(321\) −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
\(325\) 24.8034 + 15.3445i 1.37585 + 0.851160i
\(326\) −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
\(330\) −4.47688 + 3.24619i −0.246444 + 0.178697i
\(331\) 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 \(-0.843690\pi\)
0.881832 0.471564i \(-0.156310\pi\)
\(338\) 28.6290 + 8.03791i 1.55721 + 0.437204i
\(339\) 2.52062 + 2.52062i 0.136901 + 0.136901i
\(340\) 4.96888 + 13.4591i 0.269475 + 0.729923i
\(341\) 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 0.884374 0.466779i \(-0.154586\pi\)
−0.466779 + 0.884374i \(0.654586\pi\)
\(348\) −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 \(0.494676\pi\)
\(350\) 32.9238 + 1.39457i 1.75985 + 0.0745430i
\(351\) −5.83322 −0.311355
\(352\) −5.44742 + 8.25726i −0.290348 + 0.440114i
\(353\) 19.0971i 1.01644i 0.861228 + 0.508219i \(0.169696\pi\)
−0.861228 + 0.508219i \(0.830304\pi\)
\(354\) 11.9894 + 3.36614i 0.637227 + 0.178908i
\(355\) −10.9264 8.65132i −0.579915 0.459164i
\(356\) −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 \(0.733921\pi\)
\(360\) −6.30435 + 0.505089i −0.332269 + 0.0266205i
\(361\) 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
\(365\) −7.41684 + 9.36733i −0.388215 + 0.490308i
\(366\) −2.40188 + 8.55491i −0.125548 + 0.447172i
\(367\) 15.5388i 0.811117i 0.914069 + 0.405558i \(0.132923\pi\)
−0.914069 + 0.405558i \(0.867077\pi\)
\(368\) 1.31030 + 2.54199i 0.0683041 + 0.132511i
\(369\) 6.81590 0.354822
\(370\) −1.64200 + 10.3043i −0.0853636 + 0.535693i
\(371\) −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 0.725985 0.687710i \(-0.241384\pi\)
−0.687710 + 0.725985i \(0.741384\pi\)
\(374\) 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 \(0.261308\pi\)
\(380\) −21.4746 9.89389i −1.10162 0.507546i
\(381\) −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 \(-0.864590\pi\)
0.910873 0.412687i \(-0.135410\pi\)
\(384\) −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 \(0.196149\pi\)
\(390\) 14.9336 10.8284i 0.756191 0.548315i
\(391\) 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
\(395\) −18.0829 + 22.8383i −0.909848 + 1.14912i
\(396\) 0.824453 + 3.39888i 0.0414303 + 0.170800i
\(397\) 0.887688 0.887688i 0.0445518 0.0445518i −0.684480 0.729032i \(-0.739971\pi\)
0.729032 + 0.684480i \(0.239971\pi\)
\(398\) 21.0372 + 5.90643i 1.05450 + 0.296063i
\(399\) −24.6390 −1.23349
\(400\) 15.2021 12.9960i 0.760105 0.649800i
\(401\) −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
\(405\) −1.38805 + 1.75308i −0.0689729 + 0.0871115i
\(406\) 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 \(-0.0157206\pi\)
\(410\) −17.4493 + 12.6525i −0.861760 + 0.624864i
\(411\) −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 \(0.623892\pi\)
\(420\) 8.72111 18.9291i 0.425546 0.923644i
\(421\) 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
\(430\) 0.927218 5.81869i 0.0447144 0.280602i
\(431\) 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 \(-0.986329\pi\)
0.999078 0.0429367i \(-0.0136714\pi\)
\(434\) −6.85377 + 24.4114i −0.328991 + 1.17179i
\(435\) 2.43931 3.08080i 0.116956 0.147713i
\(436\) 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 \(-0.0377687\pi\)
\(440\) −8.42009 7.17098i −0.401412 0.341863i
\(441\) 14.7184i 0.700875i
\(442\) −23.0754 + 12.9585i −1.09758 + 0.616371i
\(443\) −3.68515 3.68515i −0.175087 0.175087i 0.614123 0.789210i \(-0.289510\pi\)
−0.789210 + 0.614123i \(0.789510\pi\)
\(444\) 5.63484 + 3.43484i 0.267418 + 0.163010i
\(445\) −3.86552 3.06063i −0.183243 0.145088i
\(446\) 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 \(0.708008\pi\)
\(450\) 0.299245 7.06473i 0.0141066 0.333035i
\(451\) 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 \(-0.510040\pi\)
−0.0315367 + 0.999503i \(0.510040\pi\)
\(458\) −6.18671 11.0168i −0.289086 0.514780i
\(459\) 2.26847 2.26847i 0.105883 0.105883i
\(460\) −2.99950 + 1.10736i −0.139853 + 0.0516311i
\(461\) 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 \(0.0159115\pi\)
−0.998751 + 0.0499667i \(0.984088\pi\)
\(464\) 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 −0.483178 0.875522i \(-0.660517\pi\)
0.875522 + 0.483178i \(0.160517\pi\)
\(468\) −2.75014 11.3377i −0.127125 0.524084i
\(469\) −29.7219 + 29.7219i −1.37243 + 1.37243i
\(470\) 3.03183 2.19839i 0.139848 0.101404i
\(471\) 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
\(475\) 13.9076 22.4808i 0.638126 1.03149i
\(476\) −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 \(0.614806\pi\)
\(480\) −3.95396 12.0152i −0.180473 0.548419i
\(481\) −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
\(485\) −12.9597 10.2612i −0.588471 0.465939i
\(486\) 0.692464 + 1.23308i 0.0314108 + 0.0559338i
\(487\) 21.0712 0.954827 0.477414 0.878679i \(-0.341574\pi\)
0.477414 + 0.878679i \(0.341574\pi\)
\(488\) −17.7600 0.635088i −0.803959 0.0287491i
\(489\) 8.09007i 0.365846i
\(490\) 27.3221 + 37.6804i 1.23429 + 1.70223i
\(491\) 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 \(0.681414\pi\)
\(500\) 12.3483 + 18.6418i 0.552235 + 0.833689i
\(501\) 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 \(-0.710446\pi\)
−0.614014 + 0.789295i \(0.710446\pi\)
\(504\) −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 \(0.916263\pi\)
\(510\) −1.59646 + 10.0185i −0.0706927 + 0.443626i
\(511\) −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
\(515\) 6.91090 8.72833i 0.304530 0.384616i
\(516\) −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
\(520\) 28.0870 + 23.9203i 1.23170 + 1.04897i
\(521\) 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 \(0.108208\pi\)
0.333436 + 0.942773i \(0.391792\pi\)
\(524\) −4.32318 17.8227i −0.188859 0.778587i
\(525\) 19.8160 + 12.2591i 0.864842 + 0.535030i
\(526\) 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
\(530\) 6.58208 41.3053i 0.285907 1.79419i
\(531\) 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
\(540\) −4.06177 1.87136i −0.174791 0.0805306i
\(541\) −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 −0.180187 0.983632i \(-0.557670\pi\)
0.983632 + 0.180187i \(0.0576705\pi\)
\(548\) −17.4946 10.6642i −0.747330 0.455552i
\(549\) −4.44284 + 4.44284i −0.189616 + 0.189616i
\(550\) 9.10579 8.36574i 0.388272 0.356716i
\(551\) 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
\(555\) −4.58003 + 5.78448i −0.194411 + 0.245538i
\(556\) −8.81616 + 2.13850i −0.373888 + 0.0906927i
\(557\) 30.7121 30.7121i 1.30132 1.30132i 0.373810 0.927505i \(-0.378051\pi\)
0.927505 0.373810i \(-0.121949\pi\)
\(558\) 5.23817 + 1.47067i 0.221749 + 0.0622585i
\(559\) 10.8687 0.459698
\(560\) 40.9029 + 8.02635i 1.72846 + 0.339175i
\(561\) 5.61006 0.236857
\(562\) −11.3655 3.19098i −0.479424 0.134603i
\(563\) 20.7316 20.7316i 0.873734 0.873734i −0.119143 0.992877i \(-0.538015\pi\)
0.992877 + 0.119143i \(0.0380148\pi\)
\(564\) −0.558335 2.30179i −0.0235102 0.0969227i
\(565\) −6.24922 4.94799i −0.262907 0.208164i
\(566\) −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 \(-0.167622\pi\)
\(570\) −9.81439 13.5352i −0.411080 0.566927i
\(571\) 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 \(0.0583025\pi\)
−0.983273 + 0.182140i \(0.941697\pi\)
\(578\) −2.56434 + 9.13355i −0.106663 + 0.379906i
\(579\) −6.31924 6.31924i −0.262619 0.262619i
\(580\) 7.13801 + 3.28866i 0.296390 + 0.136554i
\(581\) 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 0.983073 0.183216i \(-0.0586506\pi\)
−0.183216 + 0.983073i \(0.558651\pi\)
\(588\) 28.6072 6.93913i 1.17974 0.286165i
\(589\) 14.3825 + 14.3825i 0.592620 + 0.592620i
\(590\) −27.4986 4.38196i −1.13210 0.180402i
\(591\) 14.5478 0.598416
\(592\) −4.01948 + 12.5715i −0.165200 + 0.516684i
\(593\) 19.4757i 0.799769i 0.916565 + 0.399885i \(0.130950\pi\)
−0.916565 + 0.399885i \(0.869050\pi\)
\(594\) −0.668492 + 2.38100i −0.0274286 + 0.0976936i
\(595\) −26.2098 20.7524i −1.07450 0.850764i
\(596\) 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 \(-0.126083\pi\)
\(600\) 13.8724 2.74912i 0.566337 0.112232i
\(601\) 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
\(605\) 13.9230 + 11.0239i 0.566049 + 0.448185i
\(606\) 15.7517 + 4.42246i 0.639869 + 0.179650i
\(607\) 11.3757i 0.461724i −0.972986 0.230862i \(-0.925845\pi\)
0.972986 0.230862i \(-0.0741546\pi\)
\(608\) −24.9646 16.4695i −1.01245 0.667925i
\(609\) 8.18983 0.331869
\(610\) 3.12671 19.6214i 0.126597 0.794449i
\(611\) 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 0.855938 0.517079i \(-0.172981\pi\)
−0.517079 + 0.855938i \(0.672981\pi\)
\(614\) 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 \(-0.887718\pi\)
−0.938428 + 0.345476i \(0.887718\pi\)
\(618\) −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 \(0.224778\pi\)
\(620\) −16.1402 + 5.95869i −0.648207 + 0.239307i
\(621\) 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
\(630\) 11.9308 8.65103i 0.475334 0.344665i
\(631\) 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
\(635\) 15.5548 + 12.3159i 0.617272 + 0.488742i
\(636\) −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
\(640\) 21.4891 13.3498i 0.849433 0.527697i
\(641\) 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 −0.587687 0.809088i \(-0.699961\pi\)
0.809088 + 0.587687i \(0.199961\pi\)
\(644\) −5.69001 3.46847i −0.224218 0.136677i
\(645\) 2.58629 3.26643i 0.101835 0.128615i
\(646\) 11.7450 + 20.9146i 0.462102 + 0.822873i
\(647\) 12.5530 0.493508 0.246754 0.969078i \(-0.420636\pi\)
0.246754 + 0.969078i \(0.420636\pi\)
\(648\) −2.07020 + 1.92725i −0.0813250 + 0.0757095i
\(649\) 15.3984i 0.604442i
\(650\) −30.3743 + 27.9057i −1.19138 + 1.09455i
\(651\) −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 \(-0.348041\pi\)
0.888196 0.459466i \(-0.151959\pi\)
\(654\) −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 \(0.550921\pi\)
\(660\) −2.70851 7.33651i −0.105429 0.285573i
\(661\) −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
\(670\) −28.1665 4.48839i −1.08817 0.173402i
\(671\) −10.9874 −0.424165
\(672\) 14.5172 22.0054i 0.560014 0.848877i
\(673\) 8.51817i 0.328351i 0.986431 + 0.164176i \(0.0524964\pi\)
−0.986431 + 0.164176i \(0.947504\pi\)
\(674\) 23.5735 + 6.61852i 0.908018 + 0.254936i
\(675\) 2.63054 4.25209i 0.101249 0.163663i
\(676\) −21.8883 + 35.9076i −0.841858 + 1.38106i
\(677\) 19.0779 + 19.0779i 0.733223 + 0.733223i 0.971257 0.238034i \(-0.0765029\pi\)
−0.238034 + 0.971257i \(0.576503\pi\)
\(678\) −4.39557 + 2.46843i −0.168811 + 0.0947993i
\(679\) 34.4514i 1.32212i
\(680\) −20.2250 + 1.62037i −0.775593 + 0.0621385i
\(681\) 3.53153i 0.135329i
\(682\) 4.65863 + 8.29569i 0.178388 + 0.317658i
\(683\) −13.3669 13.3669i −0.511471 0.511471i 0.403506 0.914977i \(-0.367791\pi\)
−0.914977 + 0.403506i \(0.867791\pi\)
\(684\) −10.2760 + 2.49261i −0.392913 + 0.0953074i
\(685\) 14.2197 17.9592i 0.543306 0.686185i
\(686\) −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
\(690\) −2.23272 0.355788i −0.0849983 0.0135446i
\(691\) −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
\(700\) −14.4847 + 44.2948i −0.547471 + 1.67419i
\(701\) −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 \(0.406839\pi\)
\(710\) 15.9563 11.5699i 0.598828 0.434211i
\(711\) 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
\(715\) 17.8827 + 14.1591i 0.668773 + 0.529520i
\(716\) −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 \(0.591652\pi\)
\(720\) 1.72228 8.77689i 0.0641857 0.327095i
\(721\) 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
\(725\) −4.62280 + 7.47246i −0.171687 + 0.277520i
\(726\) 9.79311 5.49954i 0.363457 0.204107i
\(727\) 40.6950 1.50930 0.754648 0.656130i \(-0.227808\pi\)
0.754648 + 0.656130i \(0.227808\pi\)
\(728\) −2.74777 + 76.8404i −0.101839 + 2.84790i
\(729\) 1.00000i 0.0370370i
\(730\) −9.91898 13.6794i −0.367118 0.506298i
\(731\) −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 −0.271679 0.962388i \(-0.587579\pi\)
0.962388 + 0.271679i \(0.0875788\pi\)
\(734\) −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 \(0.822836\pi\)
\(740\) −13.4022 6.17475i −0.492676 0.226988i
\(741\) 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 \(-0.415743\pi\)
0.261620 + 0.965171i \(0.415743\pi\)
\(744\) −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
\(750\) 1.15886 + 15.7689i 0.0423156 + 0.575797i
\(751\) 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
\(755\) 35.5378 + 28.1380i 1.29335 + 1.02405i
\(756\) −2.19715 9.05793i −0.0799094 0.329434i
\(757\) 3.26487 + 3.26487i 0.118664 + 0.118664i 0.763945 0.645281i \(-0.223260\pi\)
−0.645281 + 0.763945i \(0.723260\pi\)
\(758\) −0.957576 1.70517i −0.0347807 0.0619346i
\(759\) 1.25026i 0.0453816i
\(760\) 21.6804 25.4569i 0.786431 0.923420i
\(761\) 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
\(765\) −4.45301 + 5.62407i −0.160999 + 0.203339i
\(766\) 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 \(0.417997\pi\)
\(770\) 25.4501 + 4.05551i 0.917157 + 0.146151i
\(771\) −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 0.955601 0.294663i \(-0.0952074\pi\)
−0.294663 + 0.955601i \(0.595207\pi\)
\(774\) −1.29023 2.29754i −0.0463764 0.0825832i
\(775\) −4.41120 18.7232i −0.158455 0.672556i