Properties

Label 280.2.ba.b.19.18
Level $280$
Weight $2$
Character 280.19
Analytic conductor $2.236$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.ba (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 19.18
Character \(\chi\) \(=\) 280.19
Dual form 280.2.ba.b.59.18

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326985 + 1.37589i) q^{2} +(-1.39824 - 2.42182i) q^{3} +(-1.78616 - 0.899793i) q^{4} +(0.326208 + 2.21215i) q^{5} +(3.78937 - 1.13193i) q^{6} +(-2.32367 - 1.26513i) q^{7} +(1.82207 - 2.16335i) q^{8} +(-2.41015 + 4.17451i) q^{9} +O(q^{10})\) \(q+(-0.326985 + 1.37589i) q^{2} +(-1.39824 - 2.42182i) q^{3} +(-1.78616 - 0.899793i) q^{4} +(0.326208 + 2.21215i) q^{5} +(3.78937 - 1.13193i) q^{6} +(-2.32367 - 1.26513i) q^{7} +(1.82207 - 2.16335i) q^{8} +(-2.41015 + 4.17451i) q^{9} +(-3.15034 - 0.274512i) q^{10} +(2.81429 + 4.87449i) q^{11} +(0.318344 + 5.58389i) q^{12} +3.09140i q^{13} +(2.50048 - 2.78345i) q^{14} +(4.90131 - 3.88313i) q^{15} +(2.38075 + 3.21435i) q^{16} +(1.34123 + 2.32308i) q^{17} +(-4.95559 - 4.68111i) q^{18} +(0.00896628 + 0.00517669i) q^{19} +(1.40781 - 4.24477i) q^{20} +(0.185144 + 7.39648i) q^{21} +(-7.62701 + 2.27827i) q^{22} +(-1.25202 + 2.16856i) q^{23} +(-7.78693 - 1.38784i) q^{24} +(-4.78718 + 1.44324i) q^{25} +(-4.25344 - 1.01084i) q^{26} +5.09045 q^{27} +(3.01211 + 4.35054i) q^{28} +7.20373i q^{29} +(3.74011 + 8.01340i) q^{30} +(-2.49620 - 4.32355i) q^{31} +(-5.20107 + 2.22461i) q^{32} +(7.87010 - 13.6314i) q^{33} +(-3.63486 + 1.08578i) q^{34} +(2.04064 - 5.55300i) q^{35} +(8.06111 - 5.28770i) q^{36} +(-0.224770 + 0.389313i) q^{37} +(-0.0100544 + 0.0106439i) q^{38} +(7.48684 - 4.32253i) q^{39} +(5.38001 + 3.32498i) q^{40} -10.6661i q^{41} +(-10.2373 - 2.16380i) q^{42} +9.44007i q^{43} +(-0.640742 - 11.2389i) q^{44} +(-10.0208 - 3.96985i) q^{45} +(-2.57431 - 2.43173i) q^{46} +(1.23879 + 0.715215i) q^{47} +(4.45573 - 10.2602i) q^{48} +(3.79892 + 5.87948i) q^{49} +(-0.420406 - 7.05856i) q^{50} +(3.75072 - 6.49644i) q^{51} +(2.78162 - 5.52175i) q^{52} +(-2.17123 - 3.76068i) q^{53} +(-1.66450 + 7.00391i) q^{54} +(-9.86504 + 7.81571i) q^{55} +(-6.97079 + 2.72177i) q^{56} -0.0289530i q^{57} +(-9.91155 - 2.35551i) q^{58} +(0.320832 - 0.185233i) q^{59} +(-12.2485 + 2.52573i) q^{60} +(2.24283 - 3.88469i) q^{61} +(6.76496 - 2.02077i) q^{62} +(10.8817 - 6.65104i) q^{63} +(-1.36015 - 7.88353i) q^{64} +(-6.83864 + 1.00844i) q^{65} +(16.1820 + 15.2857i) q^{66} +(4.32212 - 2.49538i) q^{67} +(-0.305364 - 5.35622i) q^{68} +7.00248 q^{69} +(6.97307 + 4.62345i) q^{70} +9.31593i q^{71} +(4.63945 + 12.8202i) q^{72} +(4.50169 + 7.79716i) q^{73} +(-0.462156 - 0.436559i) q^{74} +(10.1889 + 9.57570i) q^{75} +(-0.0113573 - 0.0173142i) q^{76} +(-0.372646 - 14.8872i) q^{77} +(3.49925 + 11.7145i) q^{78} +(-4.69042 - 2.70802i) q^{79} +(-6.33399 + 6.31510i) q^{80} +(0.112790 + 0.195358i) q^{81} +(14.6755 + 3.48767i) q^{82} -11.3308 q^{83} +(6.32460 - 13.3779i) q^{84} +(-4.70146 + 3.72480i) q^{85} +(-12.9885 - 3.08676i) q^{86} +(17.4462 - 10.0725i) q^{87} +(15.6730 + 2.79336i) q^{88} +(0.909465 + 0.525080i) q^{89} +(8.73875 - 12.4895i) q^{90} +(3.91101 - 7.18342i) q^{91} +(4.18755 - 2.74684i) q^{92} +(-6.98059 + 12.0907i) q^{93} +(-1.38912 + 1.47058i) q^{94} +(-0.00852671 + 0.0215234i) q^{95} +(12.6599 + 9.48554i) q^{96} -6.06940 q^{97} +(-9.33172 + 3.30440i) q^{98} -27.1315 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 6q^{4} - 52q^{9} + O(q^{10}) \) \( 80q + 6q^{4} - 52q^{9} - 12q^{10} - 6q^{14} + 10q^{16} - 48q^{19} + 12q^{24} - 22q^{25} + 54q^{26} - 20q^{30} - 22q^{35} + 28q^{36} + 12q^{40} + 38q^{44} + 14q^{46} + 16q^{49} - 40q^{50} + 20q^{51} + 60q^{54} - 104q^{56} - 60q^{59} - 42q^{60} - 60q^{64} - 12q^{65} + 84q^{66} - 22q^{70} + 34q^{74} - 6q^{75} - 96q^{80} - 100q^{84} - 8q^{86} - 36q^{89} + 72q^{91} - 66q^{94} + 96q^{96} + 104q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(-1\) \(-1\) \(-1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326985 + 1.37589i −0.231213 + 0.972903i
\(3\) −1.39824 2.42182i −0.807274 1.39824i −0.914745 0.404032i \(-0.867608\pi\)
0.107470 0.994208i \(-0.465725\pi\)
\(4\) −1.78616 0.899793i −0.893081 0.449896i
\(5\) 0.326208 + 2.21215i 0.145885 + 0.989302i
\(6\) 3.78937 1.13193i 1.54700 0.462108i
\(7\) −2.32367 1.26513i −0.878266 0.478172i
\(8\) 1.82207 2.16335i 0.644198 0.764859i
\(9\) −2.41015 + 4.17451i −0.803384 + 1.39150i
\(10\) −3.15034 0.274512i −0.996225 0.0868082i
\(11\) 2.81429 + 4.87449i 0.848540 + 1.46971i 0.882511 + 0.470292i \(0.155851\pi\)
−0.0339711 + 0.999423i \(0.510815\pi\)
\(12\) 0.318344 + 5.58389i 0.0918980 + 1.61193i
\(13\) 3.09140i 0.857401i 0.903447 + 0.428701i \(0.141029\pi\)
−0.903447 + 0.428701i \(0.858971\pi\)
\(14\) 2.50048 2.78345i 0.668282 0.743908i
\(15\) 4.90131 3.88313i 1.26551 1.00262i
\(16\) 2.38075 + 3.21435i 0.595186 + 0.803588i
\(17\) 1.34123 + 2.32308i 0.325296 + 0.563429i 0.981572 0.191092i \(-0.0612028\pi\)
−0.656276 + 0.754521i \(0.727869\pi\)
\(18\) −4.95559 4.68111i −1.16804 1.10335i
\(19\) 0.00896628 + 0.00517669i 0.00205701 + 0.00118761i 0.501028 0.865431i \(-0.332955\pi\)
−0.498971 + 0.866619i \(0.666289\pi\)
\(20\) 1.40781 4.24477i 0.314797 0.949159i
\(21\) 0.185144 + 7.39648i 0.0404018 + 1.61404i
\(22\) −7.62701 + 2.27827i −1.62608 + 0.485730i
\(23\) −1.25202 + 2.16856i −0.261063 + 0.452175i −0.966525 0.256573i \(-0.917407\pi\)
0.705461 + 0.708748i \(0.250740\pi\)
\(24\) −7.78693 1.38784i −1.58950 0.283292i
\(25\) −4.78718 + 1.44324i −0.957435 + 0.288648i
\(26\) −4.25344 1.01084i −0.834168 0.198243i
\(27\) 5.09045 0.979657
\(28\) 3.01211 + 4.35054i 0.569234 + 0.822175i
\(29\) 7.20373i 1.33770i 0.743398 + 0.668849i \(0.233213\pi\)
−0.743398 + 0.668849i \(0.766787\pi\)
\(30\) 3.74011 + 8.01340i 0.682848 + 1.46304i
\(31\) −2.49620 4.32355i −0.448331 0.776533i 0.549946 0.835200i \(-0.314648\pi\)
−0.998278 + 0.0586673i \(0.981315\pi\)
\(32\) −5.20107 + 2.22461i −0.919428 + 0.393259i
\(33\) 7.87010 13.6314i 1.37001 2.37293i
\(34\) −3.63486 + 1.08578i −0.623374 + 0.186209i
\(35\) 2.04064 5.55300i 0.344931 0.938628i
\(36\) 8.06111 5.28770i 1.34352 0.881284i
\(37\) −0.224770 + 0.389313i −0.0369519 + 0.0640026i −0.883910 0.467657i \(-0.845098\pi\)
0.846958 + 0.531660i \(0.178432\pi\)
\(38\) −0.0100544 + 0.0106439i −0.00163104 + 0.00172668i
\(39\) 7.48684 4.32253i 1.19885 0.692158i
\(40\) 5.38001 + 3.32498i 0.850655 + 0.525725i
\(41\) 10.6661i 1.66577i −0.553445 0.832886i \(-0.686687\pi\)
0.553445 0.832886i \(-0.313313\pi\)
\(42\) −10.2373 2.16380i −1.57965 0.333881i
\(43\) 9.44007i 1.43960i 0.694183 + 0.719798i \(0.255766\pi\)
−0.694183 + 0.719798i \(0.744234\pi\)
\(44\) −0.640742 11.2389i −0.0965956 1.69433i
\(45\) −10.0208 3.96985i −1.49382 0.591790i
\(46\) −2.57431 2.43173i −0.379561 0.358538i
\(47\) 1.23879 + 0.715215i 0.180696 + 0.104325i 0.587620 0.809137i \(-0.300065\pi\)
−0.406924 + 0.913462i \(0.633398\pi\)
\(48\) 4.45573 10.2602i 0.643130 1.48093i
\(49\) 3.79892 + 5.87948i 0.542702 + 0.839925i
\(50\) −0.420406 7.05856i −0.0594544 0.998231i
\(51\) 3.75072 6.49644i 0.525206 0.909683i
\(52\) 2.78162 5.52175i 0.385742 0.765729i
\(53\) −2.17123 3.76068i −0.298241 0.516569i 0.677493 0.735530i \(-0.263067\pi\)
−0.975734 + 0.218961i \(0.929733\pi\)
\(54\) −1.66450 + 7.00391i −0.226510 + 0.953111i
\(55\) −9.86504 + 7.81571i −1.33020 + 1.05387i
\(56\) −6.97079 + 2.72177i −0.931511 + 0.363712i
\(57\) 0.0289530i 0.00383492i
\(58\) −9.91155 2.35551i −1.30145 0.309294i
\(59\) 0.320832 0.185233i 0.0417688 0.0241152i −0.478970 0.877831i \(-0.658990\pi\)
0.520739 + 0.853716i \(0.325656\pi\)
\(60\) −12.2485 + 2.52573i −1.58128 + 0.326071i
\(61\) 2.24283 3.88469i 0.287165 0.497384i −0.685967 0.727633i \(-0.740621\pi\)
0.973132 + 0.230249i \(0.0739540\pi\)
\(62\) 6.76496 2.02077i 0.859151 0.256638i
\(63\) 10.8817 6.65104i 1.37096 0.837953i
\(64\) −1.36015 7.88353i −0.170018 0.985441i
\(65\) −6.83864 + 1.00844i −0.848229 + 0.125082i
\(66\) 16.1820 + 15.2857i 1.99186 + 1.88154i
\(67\) 4.32212 2.49538i 0.528031 0.304859i −0.212183 0.977230i \(-0.568057\pi\)
0.740214 + 0.672371i \(0.234724\pi\)
\(68\) −0.305364 5.35622i −0.0370308 0.649537i
\(69\) 7.00248 0.843000
\(70\) 6.97307 + 4.62345i 0.833441 + 0.552608i
\(71\) 9.31593i 1.10560i 0.833315 + 0.552799i \(0.186440\pi\)
−0.833315 + 0.552799i \(0.813560\pi\)
\(72\) 4.63945 + 12.8202i 0.546765 + 1.51088i
\(73\) 4.50169 + 7.79716i 0.526883 + 0.912589i 0.999509 + 0.0313255i \(0.00997284\pi\)
−0.472626 + 0.881263i \(0.656694\pi\)
\(74\) −0.462156 0.436559i −0.0537246 0.0507489i
\(75\) 10.1889 + 9.57570i 1.17651 + 1.10571i
\(76\) −0.0113573 0.0173142i −0.00130277 0.00198607i
\(77\) −0.372646 14.8872i −0.0424670 1.69655i
\(78\) 3.49925 + 11.7145i 0.396212 + 1.32640i
\(79\) −4.69042 2.70802i −0.527714 0.304676i 0.212371 0.977189i \(-0.431881\pi\)
−0.740085 + 0.672513i \(0.765215\pi\)
\(80\) −6.33399 + 6.31510i −0.708162 + 0.706050i
\(81\) 0.112790 + 0.195358i 0.0125322 + 0.0217065i
\(82\) 14.6755 + 3.48767i 1.62063 + 0.385149i
\(83\) −11.3308 −1.24372 −0.621860 0.783129i \(-0.713623\pi\)
−0.621860 + 0.783129i \(0.713623\pi\)
\(84\) 6.32460 13.3779i 0.690070 1.45965i
\(85\) −4.70146 + 3.72480i −0.509945 + 0.404011i
\(86\) −12.9885 3.08676i −1.40059 0.332854i
\(87\) 17.4462 10.0725i 1.87042 1.07989i
\(88\) 15.6730 + 2.79336i 1.67075 + 0.297773i
\(89\) 0.909465 + 0.525080i 0.0964031 + 0.0556584i 0.547426 0.836854i \(-0.315608\pi\)
−0.451023 + 0.892512i \(0.648941\pi\)
\(90\) 8.73875 12.4895i 0.921145 1.31651i
\(91\) 3.91101 7.18342i 0.409986 0.753027i
\(92\) 4.18755 2.74684i 0.436583 0.286377i
\(93\) −6.98059 + 12.0907i −0.723853 + 1.25375i
\(94\) −1.38912 + 1.47058i −0.143277 + 0.151678i
\(95\) −0.00852671 + 0.0215234i −0.000874822 + 0.00220825i
\(96\) 12.6599 + 9.48554i 1.29210 + 0.968114i
\(97\) −6.06940 −0.616254 −0.308127 0.951345i \(-0.599702\pi\)
−0.308127 + 0.951345i \(0.599702\pi\)
\(98\) −9.33172 + 3.30440i −0.942646 + 0.333795i
\(99\) −27.1315 −2.72681
\(100\) 9.84929 + 1.72961i 0.984929 + 0.172961i
\(101\) 1.53154 + 2.65270i 0.152393 + 0.263953i 0.932107 0.362183i \(-0.117969\pi\)
−0.779713 + 0.626137i \(0.784635\pi\)
\(102\) 7.71197 + 7.28483i 0.763599 + 0.721305i
\(103\) −0.926219 0.534753i −0.0912631 0.0526908i 0.453674 0.891168i \(-0.350113\pi\)
−0.544937 + 0.838477i \(0.683446\pi\)
\(104\) 6.68778 + 5.63275i 0.655791 + 0.552336i
\(105\) −16.3017 + 2.82235i −1.59088 + 0.275434i
\(106\) 5.88425 1.75769i 0.571529 0.170722i
\(107\) 0.826678 + 0.477283i 0.0799180 + 0.0461407i 0.539426 0.842033i \(-0.318641\pi\)
−0.459508 + 0.888173i \(0.651974\pi\)
\(108\) −9.09236 4.58035i −0.874913 0.440744i
\(109\) −0.742830 + 0.428873i −0.0711502 + 0.0410786i −0.535153 0.844755i \(-0.679746\pi\)
0.464003 + 0.885834i \(0.346413\pi\)
\(110\) −7.52786 16.1289i −0.717754 1.53783i
\(111\) 1.25713 0.119321
\(112\) −1.46552 10.4810i −0.138479 0.990365i
\(113\) 2.14152i 0.201457i −0.994914 0.100729i \(-0.967883\pi\)
0.994914 0.100729i \(-0.0321174\pi\)
\(114\) 0.0398362 + 0.00946720i 0.00373100 + 0.000886685i
\(115\) −5.20558 2.06224i −0.485423 0.192305i
\(116\) 6.48186 12.8670i 0.601826 1.19467i
\(117\) −12.9051 7.45076i −1.19308 0.688823i
\(118\) 0.149953 + 0.501999i 0.0138043 + 0.0462128i
\(119\) −0.177595 7.09489i −0.0162801 0.650388i
\(120\) 0.529952 17.6786i 0.0483778 1.61382i
\(121\) −10.3404 + 17.9102i −0.940040 + 1.62820i
\(122\) 4.61155 + 4.35613i 0.417510 + 0.394385i
\(123\) −25.8315 + 14.9138i −2.32915 + 1.34473i
\(124\) 0.568322 + 9.96863i 0.0510369 + 0.895209i
\(125\) −4.75427 10.1191i −0.425235 0.905083i
\(126\) 5.59298 + 17.1468i 0.498262 + 1.52756i
\(127\) −14.7459 −1.30849 −0.654244 0.756284i \(-0.727013\pi\)
−0.654244 + 0.756284i \(0.727013\pi\)
\(128\) 11.2916 + 0.706379i 0.998049 + 0.0624356i
\(129\) 22.8622 13.1995i 2.01290 1.16215i
\(130\) 0.848627 9.73898i 0.0744295 0.854165i
\(131\) 1.85181 + 1.06915i 0.161794 + 0.0934117i 0.578711 0.815533i \(-0.303556\pi\)
−0.416917 + 0.908945i \(0.636889\pi\)
\(132\) −26.3227 + 17.2665i −2.29110 + 1.50285i
\(133\) −0.0142856 0.0233724i −0.00123871 0.00202664i
\(134\) 2.02010 + 6.76273i 0.174510 + 0.584211i
\(135\) 1.66054 + 11.2608i 0.142917 + 0.969176i
\(136\) 7.46943 + 1.33126i 0.640498 + 0.114154i
\(137\) 11.0212 6.36309i 0.941605 0.543636i 0.0511418 0.998691i \(-0.483714\pi\)
0.890463 + 0.455056i \(0.150381\pi\)
\(138\) −2.28971 + 9.63466i −0.194913 + 0.820157i
\(139\) 6.35401i 0.538940i 0.963009 + 0.269470i \(0.0868485\pi\)
−0.963009 + 0.269470i \(0.913152\pi\)
\(140\) −8.64146 + 8.08240i −0.730337 + 0.683087i
\(141\) 4.00017i 0.336875i
\(142\) −12.8177 3.04617i −1.07564 0.255629i
\(143\) −15.0690 + 8.70011i −1.26014 + 0.727539i
\(144\) −19.1563 + 2.19136i −1.59636 + 0.182614i
\(145\) −15.9357 + 2.34991i −1.32339 + 0.195150i
\(146\) −12.2000 + 3.64429i −1.00968 + 0.301604i
\(147\) 8.92725 17.4212i 0.736307 1.43688i
\(148\) 0.751776 0.493129i 0.0617956 0.0405350i
\(149\) −6.88939 3.97759i −0.564400 0.325857i 0.190509 0.981685i \(-0.438986\pi\)
−0.754910 + 0.655829i \(0.772319\pi\)
\(150\) −16.5068 + 10.8877i −1.34777 + 0.888978i
\(151\) 17.2792 9.97613i 1.40616 0.811846i 0.411143 0.911571i \(-0.365130\pi\)
0.995015 + 0.0997254i \(0.0317964\pi\)
\(152\) 0.0275361 0.00996492i 0.00223348 0.000808262i
\(153\) −12.9303 −1.04535
\(154\) 20.6050 + 4.35516i 1.66040 + 0.350948i
\(155\) 8.75004 6.93234i 0.702820 0.556819i
\(156\) −17.2621 + 0.984130i −1.38207 + 0.0787935i
\(157\) 1.89627 1.09481i 0.151339 0.0873757i −0.422418 0.906401i \(-0.638819\pi\)
0.573757 + 0.819025i \(0.305485\pi\)
\(158\) 5.25964 5.56804i 0.418434 0.442969i
\(159\) −6.07180 + 10.5167i −0.481525 + 0.834025i
\(160\) −6.61778 10.7798i −0.523182 0.852221i
\(161\) 5.65277 3.45506i 0.445501 0.272297i
\(162\) −0.305673 + 0.0913079i −0.0240159 + 0.00717382i
\(163\) 12.7286 + 7.34887i 0.996982 + 0.575608i 0.907354 0.420368i \(-0.138099\pi\)
0.0896280 + 0.995975i \(0.471432\pi\)
\(164\) −9.59731 + 19.0514i −0.749424 + 1.48767i
\(165\) 32.7220 + 12.9631i 2.54740 + 1.00918i
\(166\) 3.70501 15.5900i 0.287565 1.21002i
\(167\) 10.2205i 0.790884i −0.918491 0.395442i \(-0.870591\pi\)
0.918491 0.395442i \(-0.129409\pi\)
\(168\) 16.3385 + 13.0763i 1.26054 + 1.00886i
\(169\) 3.44322 0.264863
\(170\) −3.58761 7.68666i −0.275157 0.589540i
\(171\) −0.0432202 + 0.0249532i −0.00330513 + 0.00190822i
\(172\) 8.49410 16.8615i 0.647669 1.28568i
\(173\) 20.2375 + 11.6841i 1.53863 + 0.888326i 0.998920 + 0.0464719i \(0.0147978\pi\)
0.539706 + 0.841854i \(0.318536\pi\)
\(174\) 8.15410 + 27.2976i 0.618161 + 2.06943i
\(175\) 12.9497 + 2.70276i 0.978906 + 0.204310i
\(176\) −8.96822 + 20.6510i −0.676005 + 1.55663i
\(177\) −0.897201 0.517999i −0.0674378 0.0389352i
\(178\) −1.01984 + 1.07963i −0.0764399 + 0.0809219i
\(179\) −10.2591 17.7693i −0.766801 1.32814i −0.939289 0.343127i \(-0.888514\pi\)
0.172488 0.985012i \(-0.444819\pi\)
\(180\) 14.3268 + 16.1075i 1.06785 + 1.20058i
\(181\) 10.1199 0.752204 0.376102 0.926578i \(-0.377264\pi\)
0.376102 + 0.926578i \(0.377264\pi\)
\(182\) 8.60477 + 7.73001i 0.637828 + 0.572986i
\(183\) −12.5440 −0.927283
\(184\) 2.41008 + 6.65980i 0.177674 + 0.490967i
\(185\) −0.934538 0.370227i −0.0687086 0.0272196i
\(186\) −14.3530 13.5580i −1.05241 0.994123i
\(187\) −7.54921 + 13.0756i −0.552053 + 0.956184i
\(188\) −1.56913 2.39214i −0.114441 0.174465i
\(189\) −11.8285 6.44005i −0.860399 0.468445i
\(190\) −0.0268258 0.0187697i −0.00194615 0.00136169i
\(191\) 10.2933 + 5.94286i 0.744800 + 0.430010i 0.823812 0.566863i \(-0.191843\pi\)
−0.0790121 + 0.996874i \(0.525177\pi\)
\(192\) −17.1907 + 14.3171i −1.24063 + 1.03325i
\(193\) −1.46075 + 0.843365i −0.105147 + 0.0607067i −0.551651 0.834075i \(-0.686002\pi\)
0.446504 + 0.894782i \(0.352669\pi\)
\(194\) 1.98460 8.35084i 0.142486 0.599555i
\(195\) 12.0043 + 15.1519i 0.859647 + 1.08505i
\(196\) −1.49517 13.9199i −0.106798 0.994281i
\(197\) 12.2308 0.871407 0.435703 0.900090i \(-0.356500\pi\)
0.435703 + 0.900090i \(0.356500\pi\)
\(198\) 8.87158 37.3300i 0.630476 2.65293i
\(199\) −5.79902 10.0442i −0.411082 0.712014i 0.583927 0.811806i \(-0.301516\pi\)
−0.995008 + 0.0997922i \(0.968182\pi\)
\(200\) −5.60033 + 12.9860i −0.396003 + 0.918249i
\(201\) −12.0867 6.97828i −0.852533 0.492210i
\(202\) −4.15062 + 1.23984i −0.292036 + 0.0872345i
\(203\) 9.11362 16.7391i 0.639650 1.17486i
\(204\) −12.5448 + 8.22882i −0.878314 + 0.576132i
\(205\) 23.5951 3.47938i 1.64795 0.243010i
\(206\) 1.03862 1.09952i 0.0723642 0.0766073i
\(207\) −6.03510 10.4531i −0.419468 0.726541i
\(208\) −9.93686 + 7.35985i −0.688997 + 0.510314i
\(209\) 0.0582748i 0.00403095i
\(210\) 1.44715 23.3522i 0.0998629 1.61146i
\(211\) −5.59881 −0.385438 −0.192719 0.981254i \(-0.561731\pi\)
−0.192719 + 0.981254i \(0.561731\pi\)
\(212\) 0.494334 + 8.67083i 0.0339510 + 0.595515i
\(213\) 22.5615 13.0259i 1.54589 0.892521i
\(214\) −0.927002 + 0.981356i −0.0633685 + 0.0670841i
\(215\) −20.8828 + 3.07942i −1.42420 + 0.210015i
\(216\) 9.27513 11.0124i 0.631093 0.749299i
\(217\) 0.330528 + 13.2045i 0.0224377 + 0.896382i
\(218\) −0.347189 1.16229i −0.0235146 0.0787202i
\(219\) 12.5889 21.8046i 0.850679 1.47342i
\(220\) 24.6531 5.08363i 1.66211 0.342739i
\(221\) −7.18157 + 4.14628i −0.483085 + 0.278909i
\(222\) −0.411062 + 1.72967i −0.0275887 + 0.116088i
\(223\) 0.966855i 0.0647454i −0.999476 0.0323727i \(-0.989694\pi\)
0.999476 0.0323727i \(-0.0103064\pi\)
\(224\) 14.9000 + 1.41075i 0.995548 + 0.0942594i
\(225\) 5.51302 23.4625i 0.367534 1.56417i
\(226\) 2.94650 + 0.700245i 0.195998 + 0.0465796i
\(227\) 8.25091 + 14.2910i 0.547632 + 0.948526i 0.998436 + 0.0559034i \(0.0178039\pi\)
−0.450804 + 0.892623i \(0.648863\pi\)
\(228\) −0.0260517 + 0.0517147i −0.00172532 + 0.00342489i
\(229\) −9.83500 + 17.0347i −0.649915 + 1.12569i 0.333228 + 0.942846i \(0.391862\pi\)
−0.983143 + 0.182839i \(0.941471\pi\)
\(230\) 4.53957 6.48800i 0.299331 0.427806i
\(231\) −35.5330 + 21.7183i −2.33790 + 1.42896i
\(232\) 15.5842 + 13.1257i 1.02315 + 0.861742i
\(233\) 21.2525 + 12.2702i 1.39230 + 0.803845i 0.993570 0.113223i \(-0.0361174\pi\)
0.398731 + 0.917068i \(0.369451\pi\)
\(234\) 14.4712 15.3197i 0.946013 1.00148i
\(235\) −1.17806 + 2.97369i −0.0768480 + 0.193982i
\(236\) −0.739729 + 0.0421728i −0.0481523 + 0.00274521i
\(237\) 15.1458i 0.983827i
\(238\) 9.81988 + 2.07557i 0.636528 + 0.134539i
\(239\) 4.28437i 0.277133i −0.990353 0.138567i \(-0.955751\pi\)
0.990353 0.138567i \(-0.0442495\pi\)
\(240\) 24.1505 + 6.50978i 1.55891 + 0.420205i
\(241\) −6.54522 + 3.77888i −0.421615 + 0.243419i −0.695768 0.718267i \(-0.744936\pi\)
0.274153 + 0.961686i \(0.411602\pi\)
\(242\) −21.2613 20.0837i −1.36673 1.29103i
\(243\) 7.95108 13.7717i 0.510062 0.883454i
\(244\) −7.50147 + 4.92061i −0.480232 + 0.315010i
\(245\) −11.7670 + 10.3217i −0.751767 + 0.659428i
\(246\) −12.0733 40.4180i −0.769766 2.57696i
\(247\) −0.0160032 + 0.0277184i −0.00101826 + 0.00176368i
\(248\) −13.9016 2.47764i −0.882752 0.157330i
\(249\) 15.8432 + 27.4413i 1.00402 + 1.73902i
\(250\) 15.4774 3.23256i 0.978878 0.204445i
\(251\) 24.1608i 1.52502i 0.646978 + 0.762508i \(0.276032\pi\)
−0.646978 + 0.762508i \(0.723968\pi\)
\(252\) −25.4210 + 2.08858i −1.60137 + 0.131568i
\(253\) −14.0941 −0.886091
\(254\) 4.82169 20.2888i 0.302540 1.27303i
\(255\) 15.5946 + 6.17795i 0.976570 + 0.386878i
\(256\) −4.66410 + 15.3051i −0.291506 + 0.956569i
\(257\) 5.36561 9.29351i 0.334697 0.579713i −0.648729 0.761019i \(-0.724699\pi\)
0.983427 + 0.181306i \(0.0580325\pi\)
\(258\) 10.6855 + 35.7719i 0.665249 + 2.22706i
\(259\) 1.01482 0.620274i 0.0630579 0.0385419i
\(260\) 13.1223 + 4.35212i 0.813810 + 0.269907i
\(261\) −30.0720 17.3621i −1.86141 1.07469i
\(262\) −2.07655 + 2.19830i −0.128289 + 0.135812i
\(263\) 10.8614 + 18.8124i 0.669740 + 1.16002i 0.977977 + 0.208714i \(0.0669277\pi\)
−0.308237 + 0.951310i \(0.599739\pi\)
\(264\) −15.1497 41.8631i −0.932397 2.57650i
\(265\) 7.61089 6.02983i 0.467534 0.370410i
\(266\) 0.0368291 0.0120130i 0.00225814 0.000736562i
\(267\) 2.93675i 0.179726i
\(268\) −9.96533 + 0.568135i −0.608730 + 0.0347044i
\(269\) −11.0937 19.2149i −0.676396 1.17155i −0.976059 0.217507i \(-0.930207\pi\)
0.299663 0.954045i \(-0.403126\pi\)
\(270\) −16.0366 1.39739i −0.975959 0.0850422i
\(271\) 1.07939 1.86956i 0.0655683 0.113568i −0.831378 0.555708i \(-0.812447\pi\)
0.896946 + 0.442140i \(0.145781\pi\)
\(272\) −4.27406 + 9.84183i −0.259153 + 0.596749i
\(273\) −22.8655 + 0.572356i −1.38388 + 0.0346405i
\(274\) 5.15117 + 17.2446i 0.311193 + 1.04179i
\(275\) −20.5076 19.2734i −1.23665 1.16223i
\(276\) −12.5076 6.30078i −0.752867 0.379262i
\(277\) −4.02100 6.96457i −0.241598 0.418460i 0.719571 0.694418i \(-0.244338\pi\)
−0.961170 + 0.275958i \(0.911005\pi\)
\(278\) −8.74243 2.07767i −0.524336 0.124610i
\(279\) 24.0649 1.44073
\(280\) −8.29488 14.5325i −0.495714 0.868486i
\(281\) 12.1508 0.724858 0.362429 0.932011i \(-0.381948\pi\)
0.362429 + 0.932011i \(0.381948\pi\)
\(282\) 5.50381 + 1.30800i 0.327747 + 0.0778900i
\(283\) −7.59282 13.1511i −0.451346 0.781755i 0.547124 0.837052i \(-0.315723\pi\)
−0.998470 + 0.0552972i \(0.982389\pi\)
\(284\) 8.38241 16.6398i 0.497404 0.987388i
\(285\) 0.0640483 0.00944470i 0.00379389 0.000559456i
\(286\) −7.04307 23.5782i −0.416465 1.39421i
\(287\) −13.4940 + 24.7846i −0.796526 + 1.46299i
\(288\) 3.24874 27.0735i 0.191434 1.59532i
\(289\) 4.90221 8.49088i 0.288365 0.499464i
\(290\) 1.97751 22.6942i 0.116123 1.33265i
\(291\) 8.48648 + 14.6990i 0.497486 + 0.861671i
\(292\) −1.02492 17.9776i −0.0599790 1.05206i
\(293\) 20.5769i 1.20212i −0.799205 0.601058i \(-0.794746\pi\)
0.799205 0.601058i \(-0.205254\pi\)
\(294\) 21.0507 + 17.9794i 1.22770 + 1.04858i
\(295\) 0.514420 + 0.649303i 0.0299507 + 0.0378039i
\(296\) 0.432673 + 1.19561i 0.0251486 + 0.0694934i
\(297\) 14.3260 + 24.8133i 0.831278 + 1.43982i
\(298\) 7.72546 8.17844i 0.447524 0.473764i
\(299\) −6.70389 3.87049i −0.387696 0.223836i
\(300\) −9.58286 26.2716i −0.553267 1.51679i
\(301\) 11.9429 21.9356i 0.688375 1.26435i
\(302\) 8.07605 + 27.0363i 0.464725 + 1.55576i
\(303\) 4.28291 7.41821i 0.246047 0.426165i
\(304\) 0.00470676 + 0.0411451i 0.000269951 + 0.00235984i
\(305\) 9.32513 + 3.69425i 0.533956 + 0.211532i
\(306\) 4.22800 17.7906i 0.241699 1.01702i
\(307\) 5.13799 0.293241 0.146620 0.989193i \(-0.453160\pi\)
0.146620 + 0.989193i \(0.453160\pi\)
\(308\) −12.7297 + 26.9262i −0.725345 + 1.53426i
\(309\) 2.99085i 0.170144i
\(310\) 6.67703 + 14.3059i 0.379230 + 0.812520i
\(311\) −10.7172 18.5628i −0.607718 1.05260i −0.991616 0.129222i \(-0.958752\pi\)
0.383898 0.923376i \(-0.374581\pi\)
\(312\) 4.29038 24.0726i 0.242895 1.36284i
\(313\) 0.582955 1.00971i 0.0329506 0.0570720i −0.849080 0.528265i \(-0.822843\pi\)
0.882030 + 0.471192i \(0.156176\pi\)
\(314\) 0.886294 + 2.96706i 0.0500165 + 0.167441i
\(315\) 18.2628 + 21.9022i 1.02899 + 1.23405i
\(316\) 5.94120 + 9.05736i 0.334218 + 0.509516i
\(317\) 7.41747 12.8474i 0.416607 0.721584i −0.578989 0.815335i \(-0.696553\pi\)
0.995596 + 0.0937515i \(0.0298859\pi\)
\(318\) −12.4844 11.7929i −0.700091 0.661315i
\(319\) −35.1145 + 20.2734i −1.96603 + 1.13509i
\(320\) 16.9958 5.58051i 0.950095 0.311960i
\(321\) 2.66942i 0.148993i
\(322\) 2.90542 + 8.90736i 0.161913 + 0.496388i
\(323\) 0.0277725i 0.00154530i
\(324\) −0.0256795 0.450429i −0.00142664 0.0250238i
\(325\) −4.46163 14.7991i −0.247487 0.820906i
\(326\) −14.2733 + 15.1102i −0.790526 + 0.836879i
\(327\) 2.07731 + 1.19934i 0.114875 + 0.0663234i
\(328\) −23.0746 19.4344i −1.27408 1.07309i
\(329\) −1.97370 3.22915i −0.108814 0.178029i
\(330\) −28.5355 + 40.7832i −1.57083 + 2.24504i
\(331\) −7.74145 + 13.4086i −0.425509 + 0.737003i −0.996468 0.0839759i \(-0.973238\pi\)
0.570959 + 0.820978i \(0.306571\pi\)
\(332\) 20.2387 + 10.1954i 1.11074 + 0.559545i
\(333\) −1.08346 1.87661i −0.0593732 0.102837i
\(334\) 14.0623 + 3.34194i 0.769454 + 0.182863i
\(335\) 6.93005 + 8.74715i 0.378629 + 0.477908i
\(336\) −23.3341 + 18.2042i −1.27298 + 0.993123i
\(337\) 28.7826i 1.56789i −0.620832 0.783944i \(-0.713205\pi\)
0.620832 0.783944i \(-0.286795\pi\)
\(338\) −1.12588 + 4.73750i −0.0612398 + 0.257686i
\(339\) −5.18638 + 2.99436i −0.281686 + 0.162631i
\(340\) 11.7491 2.42275i 0.637185 0.131392i
\(341\) 14.0501 24.3354i 0.760854 1.31784i
\(342\) −0.0202006 0.0676257i −0.00109232 0.00365678i
\(343\) −1.38917 18.4681i −0.0750080 0.997183i
\(344\) 20.4221 + 17.2004i 1.10109 + 0.927385i
\(345\) 2.28426 + 15.4905i 0.122981 + 0.833981i
\(346\) −22.6934 + 24.0240i −1.22001 + 1.29154i
\(347\) 4.40442 2.54289i 0.236442 0.136510i −0.377099 0.926173i \(-0.623078\pi\)
0.613540 + 0.789664i \(0.289745\pi\)
\(348\) −40.2248 + 2.29326i −2.15628 + 0.122932i
\(349\) 13.7007 0.733381 0.366690 0.930343i \(-0.380491\pi\)
0.366690 + 0.930343i \(0.380491\pi\)
\(350\) −7.95308 + 16.9337i −0.425110 + 0.905142i
\(351\) 15.7366i 0.839959i
\(352\) −25.4811 19.0919i −1.35815 1.01760i
\(353\) −0.825203 1.42929i −0.0439211 0.0760736i 0.843229 0.537554i \(-0.180652\pi\)
−0.887150 + 0.461481i \(0.847318\pi\)
\(354\) 1.00608 1.06507i 0.0534727 0.0566081i
\(355\) −20.6082 + 3.03893i −1.09377 + 0.161290i
\(356\) −1.15199 1.75621i −0.0610553 0.0930788i
\(357\) −16.9343 + 10.3505i −0.896256 + 0.547805i
\(358\) 27.8032 8.30513i 1.46944 0.438940i
\(359\) 29.4837 + 17.0224i 1.55609 + 0.898408i 0.997625 + 0.0688791i \(0.0219423\pi\)
0.558464 + 0.829529i \(0.311391\pi\)
\(360\) −26.8468 + 14.4452i −1.41495 + 0.761329i
\(361\) −9.49995 16.4544i −0.499997 0.866021i
\(362\) −3.30905 + 13.9239i −0.173920 + 0.731822i
\(363\) 57.8337 3.03548
\(364\) −13.4493 + 9.31164i −0.704934 + 0.488062i
\(365\) −15.7800 + 12.5019i −0.825961 + 0.654379i
\(366\) 4.10172 17.2593i 0.214400 0.902156i
\(367\) 9.86880 5.69776i 0.515147 0.297421i −0.219800 0.975545i \(-0.570540\pi\)
0.734947 + 0.678125i \(0.237207\pi\)
\(368\) −9.95123 + 1.13836i −0.518744 + 0.0593412i
\(369\) 44.5259 + 25.7070i 2.31792 + 1.33825i
\(370\) 0.814972 1.16477i 0.0423684 0.0605533i
\(371\) 0.287497 + 11.4855i 0.0149261 + 0.596295i
\(372\) 23.3476 15.3149i 1.21052 0.794041i
\(373\) −14.8647 + 25.7464i −0.769664 + 1.33310i 0.168080 + 0.985773i \(0.446243\pi\)
−0.937745 + 0.347325i \(0.887090\pi\)
\(374\) −15.5222 14.6624i −0.802632 0.758176i
\(375\) −17.8592 + 25.6630i −0.922243 + 1.32523i
\(376\) 3.80442 1.37676i 0.196198 0.0710011i
\(377\) −22.2696 −1.14694
\(378\) 12.7286 14.1690i 0.654687 0.728774i
\(379\) −35.7110 −1.83435 −0.917176 0.398482i \(-0.869537\pi\)
−0.917176 + 0.398482i \(0.869537\pi\)
\(380\) 0.0345967 0.0307720i 0.00177477 0.00157857i
\(381\) 20.6183 + 35.7120i 1.05631 + 1.82958i
\(382\) −11.5425 + 12.2193i −0.590566 + 0.625194i
\(383\) 27.0665 + 15.6269i 1.38303 + 0.798495i 0.992518 0.122101i \(-0.0389631\pi\)
0.390517 + 0.920596i \(0.372296\pi\)
\(384\) −14.0777 28.3340i −0.718399 1.44592i
\(385\) 32.8110 5.68065i 1.67220 0.289513i
\(386\) −0.682736 2.28560i −0.0347503 0.116334i
\(387\) −39.4076 22.7520i −2.00320 1.15655i
\(388\) 10.8409 + 5.46120i 0.550365 + 0.277250i
\(389\) 12.5630 7.25326i 0.636970 0.367755i −0.146476 0.989214i \(-0.546793\pi\)
0.783446 + 0.621459i \(0.213460\pi\)
\(390\) −24.7727 + 11.5622i −1.25441 + 0.585475i
\(391\) −6.71696 −0.339691
\(392\) 19.6412 + 2.49442i 0.992032 + 0.125987i
\(393\) 5.97969i 0.301635i
\(394\) −3.99928 + 16.8282i −0.201481 + 0.847794i
\(395\) 4.46047 11.2593i 0.224431 0.566515i
\(396\) 48.4612 + 24.4127i 2.43527 + 1.22678i
\(397\) 29.3306 + 16.9340i 1.47206 + 0.849895i 0.999507 0.0314062i \(-0.00999855\pi\)
0.472555 + 0.881301i \(0.343332\pi\)
\(398\) 15.7159 4.69453i 0.787768 0.235315i
\(399\) −0.0366292 + 0.0672773i −0.00183375 + 0.00336808i
\(400\) −16.0361 11.9517i −0.801806 0.597584i
\(401\) 2.50564 4.33990i 0.125126 0.216724i −0.796656 0.604433i \(-0.793400\pi\)
0.921782 + 0.387708i \(0.126733\pi\)
\(402\) 13.5535 14.3483i 0.675989 0.715626i
\(403\) 13.3658 7.71678i 0.665800 0.384400i
\(404\) −0.348692 6.11621i −0.0173481 0.304293i
\(405\) −0.395368 + 0.313236i −0.0196460 + 0.0155648i
\(406\) 20.0512 + 18.0128i 0.995124 + 0.893960i
\(407\) −2.53027 −0.125421
\(408\) −7.21999 19.9511i −0.357443 0.987724i
\(409\) −24.6325 + 14.2216i −1.21800 + 0.703211i −0.964489 0.264123i \(-0.914918\pi\)
−0.253507 + 0.967333i \(0.581584\pi\)
\(410\) −2.92798 + 33.6020i −0.144603 + 1.65948i
\(411\) −30.8206 17.7943i −1.52027 0.877727i
\(412\) 1.17321 + 1.78856i 0.0577999 + 0.0881160i
\(413\) −0.979852 + 0.0245271i −0.0482154 + 0.00120690i
\(414\) 16.3557 4.88564i 0.803840 0.240116i
\(415\) −3.69620 25.0654i −0.181440 1.23041i
\(416\) −6.87716 16.0786i −0.337180 0.788319i
\(417\) 15.3883 8.88443i 0.753567 0.435072i
\(418\) −0.0801798 0.0190550i −0.00392172 0.000932009i
\(419\) 11.6710i 0.570167i −0.958503 0.285083i \(-0.907979\pi\)
0.958503 0.285083i \(-0.0920213\pi\)
\(420\) 31.6570 + 9.62696i 1.54470 + 0.469747i
\(421\) 11.0632i 0.539185i −0.962974 0.269593i \(-0.913111\pi\)
0.962974 0.269593i \(-0.0868890\pi\)
\(422\) 1.83073 7.70337i 0.0891185 0.374994i
\(423\) −5.97134 + 3.44755i −0.290337 + 0.167626i
\(424\) −12.0918 2.15508i −0.587228 0.104660i
\(425\) −9.77345 9.18526i −0.474082 0.445551i
\(426\) 10.5450 + 35.3015i 0.510905 + 1.71036i
\(427\) −10.1262 + 6.18930i −0.490042 + 0.299521i
\(428\) −1.04713 1.59634i −0.0506147 0.0771622i
\(429\) 42.1402 + 24.3297i 2.03455 + 1.17465i
\(430\) 2.59141 29.7394i 0.124969 1.43416i
\(431\) 23.4715 13.5513i 1.13058 0.652741i 0.186500 0.982455i \(-0.440286\pi\)
0.944081 + 0.329714i \(0.106952\pi\)
\(432\) 12.1191 + 16.3625i 0.583078 + 0.787240i
\(433\) −9.64178 −0.463354 −0.231677 0.972793i \(-0.574421\pi\)
−0.231677 + 0.972793i \(0.574421\pi\)
\(434\) −18.2761 3.86291i −0.877281 0.185426i
\(435\) 27.9730 + 35.3077i 1.34120 + 1.69287i
\(436\) 1.71271 0.0976435i 0.0820240 0.00467628i
\(437\) −0.0224519 + 0.0129626i −0.00107402 + 0.000620085i
\(438\) 25.8844 + 24.4508i 1.23681 + 1.16830i
\(439\) 12.9469 22.4247i 0.617922 1.07027i −0.371942 0.928256i \(-0.621308\pi\)
0.989864 0.142016i \(-0.0453586\pi\)
\(440\) −1.06665 + 35.5823i −0.0508507 + 1.69632i
\(441\) −33.6999 + 1.68817i −1.60476 + 0.0803890i
\(442\) −3.35657 11.2368i −0.159656 0.534482i
\(443\) −11.1960 6.46402i −0.531938 0.307115i 0.209867 0.977730i \(-0.432697\pi\)
−0.741805 + 0.670615i \(0.766030\pi\)
\(444\) −2.24544 1.13116i −0.106564 0.0536823i
\(445\) −0.864879 + 2.18315i −0.0409992 + 0.103491i
\(446\) 1.33029 + 0.316147i 0.0629910 + 0.0149700i
\(447\) 22.2465i 1.05222i
\(448\) −6.81311 + 20.0395i −0.321889 + 0.946777i
\(449\) 4.43065 0.209095 0.104548 0.994520i \(-0.466661\pi\)
0.104548 + 0.994520i \(0.466661\pi\)
\(450\) 30.4792 + 15.2572i 1.43681 + 0.719232i
\(451\) 51.9920 30.0176i 2.44821 1.41347i
\(452\) −1.92692 + 3.82510i −0.0906349 + 0.179918i
\(453\) −48.3208 27.8980i −2.27031 1.31076i
\(454\) −22.3608 + 6.67942i −1.04944 + 0.313481i
\(455\) 17.1666 + 6.30845i 0.804781 + 0.295745i
\(456\) −0.0626354 0.0527543i −0.00293317 0.00247045i
\(457\) −3.41299 1.97049i −0.159653 0.0921756i 0.418045 0.908426i \(-0.362715\pi\)
−0.577698 + 0.816251i \(0.696049\pi\)
\(458\) −20.2220 19.1020i −0.944914 0.892578i
\(459\) 6.82745 + 11.8255i 0.318678 + 0.551967i
\(460\) 7.44242 + 8.36744i 0.347004 + 0.390134i
\(461\) −36.5212 −1.70096 −0.850481 0.526006i \(-0.823689\pi\)
−0.850481 + 0.526006i \(0.823689\pi\)
\(462\) −18.2633 55.9912i −0.849685 2.60494i
\(463\) −12.7228 −0.591279 −0.295639 0.955300i \(-0.595533\pi\)
−0.295639 + 0.955300i \(0.595533\pi\)
\(464\) −23.1553 + 17.1502i −1.07496 + 0.796180i
\(465\) −29.0236 11.4980i −1.34594 0.533206i
\(466\) −23.8317 + 25.2291i −1.10398 + 1.16871i
\(467\) −11.0255 + 19.0967i −0.510198 + 0.883689i 0.489732 + 0.871873i \(0.337095\pi\)
−0.999930 + 0.0118159i \(0.996239\pi\)
\(468\) 16.3464 + 24.9202i 0.755614 + 1.15193i
\(469\) −13.2002 + 0.330419i −0.609527 + 0.0152573i
\(470\) −3.70627 2.59323i −0.170958 0.119617i
\(471\) −5.30290 3.06163i −0.244345 0.141072i
\(472\) 0.183855 1.03158i 0.00846262 0.0474822i
\(473\) −46.0155 + 26.5671i −2.11580 + 1.22156i
\(474\) −20.8390 4.95246i −0.957169 0.227474i
\(475\) −0.0503944 0.0118412i −0.00231225 0.000543313i
\(476\) −6.06672 + 12.8324i −0.278068 + 0.588173i
\(477\) 20.9320 0.958409
\(478\) 5.89484 + 1.40093i 0.269624 + 0.0640769i
\(479\) 19.2131 + 33.2781i 0.877870 + 1.52052i 0.853674 + 0.520808i \(0.174369\pi\)
0.0241958 + 0.999707i \(0.492297\pi\)
\(480\) −16.8536 + 31.0999i −0.769259 + 1.41951i
\(481\) −1.20352 0.694855i −0.0548760 0.0316826i
\(482\) −3.05915 10.2412i −0.139340 0.466472i
\(483\) −16.2715 8.85901i −0.740378 0.403099i
\(484\) 34.5851 22.6862i 1.57205 1.03119i
\(485\) −1.97989 13.4264i −0.0899019 0.609661i
\(486\) 16.3485 + 15.4430i 0.741582 + 0.700507i
\(487\) 3.89253 + 6.74205i 0.176387 + 0.305512i 0.940640 0.339405i \(-0.110226\pi\)
−0.764253 + 0.644916i \(0.776892\pi\)
\(488\) −4.31736 11.9302i −0.195438 0.540054i
\(489\) 41.1019i 1.85869i
\(490\) −10.3539 19.5652i −0.467741 0.883865i
\(491\) 4.73617 0.213740 0.106870 0.994273i \(-0.465917\pi\)
0.106870 + 0.994273i \(0.465917\pi\)
\(492\) 59.5586 3.39550i 2.68511 0.153081i
\(493\) −16.7348 + 9.66184i −0.753698 + 0.435148i
\(494\) −0.0329047 0.0310822i −0.00148045 0.00139846i
\(495\) −8.85049 60.0187i −0.397800 2.69764i
\(496\) 7.95458 18.3170i 0.357171 0.822455i
\(497\) 11.7858 21.6472i 0.528666 0.971009i
\(498\) −42.9367 + 12.8257i −1.92404 + 0.574733i
\(499\) −9.26180 + 16.0419i −0.414615 + 0.718134i −0.995388 0.0959313i \(-0.969417\pi\)
0.580773 + 0.814066i \(0.302750\pi\)
\(500\) −0.613235 + 22.3523i −0.0274247 + 0.999624i
\(501\) −24.7522 + 14.2907i −1.10585 + 0.638461i
\(502\) −33.2427 7.90022i −1.48369 0.352604i
\(503\) 8.37050i 0.373222i 0.982434 + 0.186611i \(0.0597504\pi\)
−0.982434 + 0.186611i \(0.940250\pi\)
\(504\) 5.43862 35.6595i 0.242255 1.58840i
\(505\) −5.36855 + 4.25331i −0.238897 + 0.189270i
\(506\) 4.60857 19.3920i 0.204876 0.862081i
\(507\) −4.81444 8.33886i −0.213817 0.370342i
\(508\) 26.3386 + 13.2683i 1.16859 + 0.588684i
\(509\) −17.2908 + 29.9486i −0.766402 + 1.32745i 0.173101 + 0.984904i \(0.444621\pi\)
−0.939502 + 0.342543i \(0.888712\pi\)
\(510\) −13.5994 + 19.4364i −0.602191 + 0.860657i
\(511\) −0.596079 23.8133i −0.0263690 1.05344i
\(512\) −19.5331 11.4218i −0.863249 0.504779i
\(513\) 0.0456424 + 0.0263516i 0.00201516 + 0.00116345i
\(514\) 11.0324 + 10.4213i 0.486618 + 0.459666i
\(515\) 0.880811 2.22337i 0.0388132 0.0979735i
\(516\) −52.7123 + 3.00519i −2.32053 + 0.132296i
\(517\) 8.05129i 0.354095i
\(518\) 0.521599 + 1.59911i 0.0229177 + 0.0702607i
\(519\) 65.3487i 2.86849i
\(520\) −10.2788 + 16.6318i −0.450757 + 0.729353i
\(521\) −19.8789 + 11.4771i −0.870912 + 0.502821i −0.867651 0.497174i \(-0.834371\pi\)
−0.00326053 + 0.999995i \(0.501038\pi\)
\(522\) 33.7214 35.6987i 1.47595 1.56249i
\(523\) 10.7152 18.5593i 0.468543 0.811541i −0.530810 0.847491i \(-0.678112\pi\)
0.999354 + 0.0359497i \(0.0114456\pi\)
\(524\) −2.34563 3.57592i −0.102469 0.156215i
\(525\) −11.5612 35.1410i −0.504572 1.53368i
\(526\) −29.4354 + 8.79268i −1.28344 + 0.383379i
\(527\) 6.69596 11.5977i 0.291681 0.505206i
\(528\) 62.5529 7.15568i 2.72226 0.311411i
\(529\) 8.36491 + 14.4884i 0.363692 + 0.629933i
\(530\) 5.80776 + 12.4434i 0.252273 + 0.540508i
\(531\) 1.78576i 0.0774952i
\(532\) 0.00448600 + 0.0546009i 0.000194493 + 0.00236725i
\(533\) 32.9734 1.42823
\(534\) 4.04066 + 0.960274i 0.174856 + 0.0415551i
\(535\) −0.786150 + 1.98443i −0.0339882 + 0.0857942i
\(536\) 2.47682 13.8970i 0.106982 0.600259i
\(537\) −28.6894 + 49.6914i −1.23804 + 2.14434i
\(538\) 30.0651 8.98079i 1.29620 0.387189i
\(539\) −17.9682 + 35.0643i −0.773945 + 1.51033i
\(540\) 7.16639 21.6078i 0.308393 0.929850i
\(541\) 8.22241 + 4.74721i 0.353509 + 0.204099i 0.666230 0.745747i \(-0.267907\pi\)
−0.312721 + 0.949845i \(0.601240\pi\)
\(542\) 2.21937 + 2.09644i 0.0953300 + 0.0900499i
\(543\) −14.1500 24.5085i −0.607235 1.05176i
\(544\) −12.1438 9.09877i −0.520659 0.390107i
\(545\) −1.19105 1.50335i −0.0510188 0.0643963i
\(546\) 6.68918 31.6476i 0.286270 1.35439i
\(547\) 39.4155i 1.68528i 0.538474 + 0.842642i \(0.319001\pi\)
−0.538474 + 0.842642i \(0.680999\pi\)
\(548\) −25.4111 + 1.44872i −1.08551 + 0.0618861i
\(549\) 10.8111 + 18.7254i 0.461407 + 0.799180i
\(550\) 33.2237 21.9141i 1.41667 0.934420i
\(551\) −0.0372914 + 0.0645906i −0.00158867 + 0.00275165i
\(552\) 12.7590 15.1488i 0.543058 0.644776i
\(553\) 7.47303 + 12.2265i 0.317785 + 0.519924i
\(554\) 10.8973 3.25515i 0.462982 0.138298i
\(555\) 0.410085 + 2.78095i 0.0174072 + 0.118045i
\(556\) 5.71729 11.3493i 0.242467 0.481317i
\(557\) 6.09239 + 10.5523i 0.258143 + 0.447116i 0.965744 0.259495i \(-0.0835562\pi\)
−0.707602 + 0.706612i \(0.750223\pi\)
\(558\) −7.86887 + 33.1107i −0.333116 + 1.40169i
\(559\) −29.1831 −1.23431
\(560\) 22.7075 6.66094i 0.959568 0.281476i
\(561\) 42.2224 1.78263
\(562\) −3.97314 + 16.7182i −0.167597 + 0.705217i
\(563\) 13.1210 + 22.7262i 0.552983 + 0.957795i 0.998057 + 0.0623013i \(0.0198440\pi\)
−0.445074 + 0.895494i \(0.646823\pi\)
\(564\) −3.59933 + 7.14495i −0.151559 + 0.300857i
\(565\) 4.73735 0.698580i 0.199302 0.0293895i
\(566\) 20.5773 6.14667i 0.864929 0.258364i
\(567\) −0.0149348 0.596642i −0.000627203 0.0250566i
\(568\) 20.1536 + 16.9742i 0.845626 + 0.712223i
\(569\) 2.65884 4.60525i 0.111465 0.193062i −0.804896 0.593415i \(-0.797779\pi\)
0.916361 + 0.400353i \(0.131113\pi\)
\(570\) −0.00794794 + 0.0912118i −0.000332902 + 0.00382044i
\(571\) −22.7432 39.3924i −0.951774 1.64852i −0.741583 0.670861i \(-0.765925\pi\)
−0.210191 0.977660i \(-0.567409\pi\)
\(572\) 34.7440 1.98079i 1.45272 0.0828212i
\(573\) 33.2382i 1.38855i
\(574\) −29.6886 26.6705i −1.23918 1.11321i
\(575\) 2.86388 12.1882i 0.119432 0.508284i
\(576\) 36.1880 + 13.3226i 1.50783 + 0.555106i
\(577\) −11.2954 19.5642i −0.470234 0.814469i 0.529187 0.848505i \(-0.322497\pi\)
−0.999421 + 0.0340364i \(0.989164\pi\)
\(578\) 10.0796 + 9.52131i 0.419256 + 0.396034i
\(579\) 4.08496 + 2.35845i 0.169765 + 0.0980140i
\(580\) 30.5782 + 10.1415i 1.26969 + 0.421103i
\(581\) 26.3291 + 14.3349i 1.09232 + 0.594712i
\(582\) −22.9992 + 6.87013i −0.953348 + 0.284776i
\(583\) 12.2209 21.1673i 0.506139 0.876658i
\(584\) 25.0704 + 4.46822i 1.03742 + 0.184896i
\(585\) 12.2724 30.9784i 0.507402 1.28080i
\(586\) 28.3116 + 6.72835i 1.16954 + 0.277945i
\(587\) −1.24935 −0.0515660 −0.0257830 0.999668i \(-0.508208\pi\)
−0.0257830 + 0.999668i \(0.508208\pi\)
\(588\) −31.6210 + 23.0844i −1.30403 + 0.951986i
\(589\) 0.0516882i 0.00212978i
\(590\) −1.06158 + 0.495474i −0.0437045 + 0.0203983i
\(591\) −17.1016 29.6208i −0.703464 1.21844i
\(592\) −1.78651 + 0.204366i −0.0734250 + 0.00839938i
\(593\) 0.393538 0.681629i 0.0161607 0.0279911i −0.857832 0.513930i \(-0.828189\pi\)
0.873993 + 0.485939i \(0.161522\pi\)
\(594\) −38.8249 + 11.5974i −1.59300 + 0.475848i
\(595\) 15.6370 2.70728i 0.641055 0.110987i
\(596\) 8.72655 + 13.3036i 0.357453 + 0.544938i
\(597\) −16.2168 + 28.0884i −0.663711 + 1.14958i
\(598\) 7.51745 7.95823i 0.307411 0.325436i
\(599\) 31.1544 17.9870i 1.27293 0.734929i 0.297395 0.954755i \(-0.403882\pi\)
0.975539 + 0.219826i \(0.0705489\pi\)
\(600\) 39.2804 4.59455i 1.60362 0.187572i
\(601\) 29.9875i 1.22322i 0.791161 + 0.611608i \(0.209477\pi\)
−0.791161 + 0.611608i \(0.790523\pi\)
\(602\) 26.2759 + 23.6047i 1.07093 + 0.962057i
\(603\) 24.0570i 0.979676i
\(604\) −39.8398 + 2.27131i −1.62106 + 0.0924184i
\(605\) −42.9930 17.0321i −1.74792 0.692454i
\(606\) 8.80622 + 8.31847i 0.357728 + 0.337915i
\(607\) −12.3990 7.15859i −0.503262 0.290558i 0.226798 0.973942i \(-0.427174\pi\)
−0.730060 + 0.683384i \(0.760508\pi\)
\(608\) −0.0581503 0.00697785i −0.00235831 0.000282989i
\(609\) −53.2822 + 1.33373i −2.15910 + 0.0540454i
\(610\) −8.13206 + 11.6224i −0.329258 + 0.470578i
\(611\) −2.21102 + 3.82960i −0.0894483 + 0.154929i
\(612\) 23.0955 + 11.6346i 0.933582 + 0.470299i
\(613\) 0.332888 + 0.576579i 0.0134452 + 0.0232878i 0.872670 0.488311i \(-0.162387\pi\)
−0.859225 + 0.511599i \(0.829053\pi\)
\(614\) −1.68005 + 7.06933i −0.0678012 + 0.285295i
\(615\) −41.4180 52.2780i −1.67013 2.10805i
\(616\) −32.8851 26.3192i −1.32498 1.06043i
\(617\) 10.1780i 0.409753i 0.978788 + 0.204876i \(0.0656792\pi\)
−0.978788 + 0.204876i \(0.934321\pi\)
\(618\) −4.11509 0.977964i −0.165533 0.0393395i
\(619\) 4.94937 2.85752i 0.198932 0.114853i −0.397225 0.917721i \(-0.630027\pi\)
0.596157 + 0.802868i \(0.296693\pi\)
\(620\) −21.8667 + 4.50906i −0.878186 + 0.181088i
\(621\) −6.37332 + 11.0389i −0.255753 + 0.442976i
\(622\) 29.0447 8.67599i 1.16459 0.347876i
\(623\) −1.44901 2.37070i −0.0580533 0.0949802i
\(624\) 31.7184 + 13.7745i 1.26975 + 0.551420i
\(625\) 20.8341 13.8181i 0.833365 0.552723i
\(626\) 1.19863 + 1.13224i 0.0479069 + 0.0452535i
\(627\) 0.141131 0.0814821i 0.00563624 0.00325408i
\(628\) −4.37216 + 0.249262i −0.174468 + 0.00994662i
\(629\) −1.20587 −0.0480812
\(630\) −36.1068 + 17.9659i −1.43853 + 0.715779i
\(631\) 49.0996i 1.95463i 0.211800 + 0.977313i \(0.432067\pi\)
−0.211800 + 0.977313i \(0.567933\pi\)
\(632\) −14.4046 + 5.21283i −0.572986 + 0.207355i
\(633\) 7.82849 + 13.5593i 0.311154 + 0.538935i
\(634\) 15.2513 + 14.4066i 0.605706 + 0.572158i
\(635\) −4.81023 32.6201i −0.190888 1.29449i
\(636\) 20.3080 13.3211i 0.805266 0.528216i
\(637\) −18.1758 + 11.7440i −0.720153 + 0.465314i
\(638\) −16.4121 54.9429i −0.649760 2.17521i
\(639\) −38.8894 22.4528i −1.53844 0.888219i
\(640\) 2.12081 + 25.2092i 0.0838323 + 0.996480i
\(641\) 2.06139 + 3.57044i 0.0814201 + 0.141024i 0.903860 0.427828i \(-0.140721\pi\)
−0.822440 + 0.568852i \(0.807388\pi\)
\(642\) 3.67284 + 0.872862i 0.144956 + 0.0344491i
\(643\) −23.6589 −0.933017 −0.466509 0.884517i \(-0.654488\pi\)
−0.466509 + 0.884517i \(0.654488\pi\)
\(644\) −13.2056 + 1.08497i −0.520374 + 0.0427538i
\(645\) 36.6570 + 46.2687i 1.44337 + 1.82183i
\(646\) −0.0382119 0.00908118i −0.00150343 0.000357294i
\(647\) −17.0060 + 9.81839i −0.668573 + 0.386001i −0.795536 0.605907i \(-0.792811\pi\)
0.126963 + 0.991908i \(0.459477\pi\)
\(648\) 0.628139 + 0.111951i 0.0246756 + 0.00439787i
\(649\) 1.80583 + 1.04260i 0.0708850 + 0.0409255i
\(650\) 21.8209 1.29964i 0.855885 0.0509763i
\(651\) 31.5169 19.2636i 1.23524 0.755000i
\(652\) −16.1229 24.5794i −0.631422 0.962603i
\(653\) 6.03366 10.4506i 0.236115 0.408964i −0.723481 0.690344i \(-0.757459\pi\)
0.959596 + 0.281381i \(0.0907923\pi\)
\(654\) −2.32941 + 2.46599i −0.0910870 + 0.0964278i
\(655\) −1.76103 + 4.44525i −0.0688091 + 0.173690i
\(656\) 34.2847 25.3934i 1.33859 0.991444i
\(657\) −43.3991 −1.69316
\(658\) 5.08834 1.65972i 0.198364 0.0647027i
\(659\) 39.2192 1.52776 0.763881 0.645357i \(-0.223291\pi\)
0.763881 + 0.645357i \(0.223291\pi\)
\(660\) −46.7826 52.5973i −1.82101 2.04735i
\(661\) 21.5274 + 37.2866i 0.837319 + 1.45028i 0.892128 + 0.451783i \(0.149212\pi\)
−0.0548084 + 0.998497i \(0.517455\pi\)
\(662\) −15.9174 15.0358i −0.618649 0.584384i
\(663\) 20.0831 + 11.5950i 0.779964 + 0.450312i
\(664\) −20.6455 + 24.5125i −0.801201 + 0.951270i
\(665\) 0.0470431 0.0392260i 0.00182425 0.00152112i
\(666\) 2.93628 0.877101i 0.113779 0.0339870i
\(667\) −15.6217 9.01918i −0.604874 0.349224i
\(668\) −9.19631 + 18.2554i −0.355816 + 0.706324i
\(669\) −2.34155 + 1.35190i −0.0905297 + 0.0522673i
\(670\) −14.3012 + 6.67482i −0.552502 + 0.257871i
\(671\) 25.2479 0.974683
\(672\) −17.4172 38.0577i −0.671883 1.46811i
\(673\) 9.18260i 0.353963i −0.984214 0.176982i \(-0.943367\pi\)
0.984214 0.176982i \(-0.0566333\pi\)
\(674\) 39.6017 + 9.41147i 1.52540 + 0.362516i
\(675\) −24.3689 + 7.34673i −0.937958 + 0.282776i
\(676\) −6.15014 3.09818i −0.236544 0.119161i
\(677\) −28.6670 16.5509i −1.10176 0.636102i −0.165078 0.986280i \(-0.552788\pi\)
−0.936683 + 0.350178i \(0.886121\pi\)
\(678\) −2.42405 8.11501i −0.0930950 0.311655i
\(679\) 14.1033 + 7.67855i 0.541235 + 0.294676i
\(680\) −0.508344 + 16.9577i −0.0194941 + 0.650299i
\(681\) 23.0735 39.9645i 0.884178 1.53144i
\(682\) 28.8888 + 27.2887i 1.10621 + 1.04494i
\(683\) −6.48677 + 3.74514i −0.248209 + 0.143304i −0.618944 0.785435i \(-0.712439\pi\)
0.370735 + 0.928739i \(0.379106\pi\)
\(684\) 0.0996510 0.00568121i 0.00381025 0.000217227i
\(685\) 17.6713 + 22.3048i 0.675185 + 0.852223i
\(686\) 25.8643 + 4.12744i 0.987505 + 0.157586i
\(687\) 55.0068 2.09864
\(688\) −30.3437 + 22.4744i −1.15684 + 0.856828i
\(689\) 11.6258 6.71214i 0.442907 0.255712i
\(690\) −22.0602 1.92226i −0.839817 0.0731793i
\(691\) 33.9093 + 19.5776i 1.28997 + 0.744766i 0.978649 0.205538i \(-0.0658945\pi\)
0.311323 + 0.950304i \(0.399228\pi\)
\(692\) −25.6341 39.0792i −0.974462 1.48557i
\(693\) 63.0446 + 34.3247i 2.39487 + 1.30389i
\(694\) 2.05857 + 6.89150i 0.0781422 + 0.261598i
\(695\) −14.0560 + 2.07273i −0.533174 + 0.0786230i
\(696\) 9.99764 56.0949i 0.378960 2.12627i
\(697\) 24.7783 14.3057i 0.938543 0.541868i
\(698\) −4.47992 + 18.8507i −0.169567 + 0.713508i
\(699\) 68.6265i 2.59569i
\(700\) −20.6984 16.4796i −0.782324 0.622871i
\(701\) 27.0282i 1.02084i −0.859925 0.510420i \(-0.829490\pi\)
0.859925 0.510420i \(-0.170510\pi\)
\(702\) −21.6519 5.14564i −0.817199 0.194210i
\(703\) −0.00403070 + 0.00232713i −0.000152021 + 8.77692e-5i
\(704\) 34.6003 28.8165i 1.30405 1.08606i
\(705\) 8.84896 1.30489i 0.333271 0.0491449i
\(706\) 2.23638 0.668033i 0.0841674 0.0251418i
\(707\) −0.202794 8.10158i −0.00762686 0.304691i
\(708\) 1.13645 + 1.73253i 0.0427106 + 0.0651123i
\(709\) −21.4335 12.3746i −0.804952 0.464739i 0.0402480 0.999190i \(-0.487185\pi\)
−0.845200 + 0.534451i \(0.820519\pi\)
\(710\) 2.55733 29.3483i 0.0959749 1.10142i
\(711\) 22.6093 13.0535i 0.847913 0.489543i
\(712\) 2.79304 1.01076i 0.104673 0.0378798i
\(713\) 12.5012 0.468172
\(714\) −8.70389 26.6842i −0.325735 0.998630i
\(715\) −24.1615 30.4968i −0.903590 1.14052i
\(716\) 2.33574 + 40.9699i 0.0872906 + 1.53112i
\(717\) −10.3760 + 5.99058i −0.387499 + 0.223722i
\(718\) −33.0617 + 35.0003i −1.23385 + 1.30620i
\(719\) −9.45728 + 16.3805i −0.352697 + 0.610889i −0.986721 0.162424i \(-0.948069\pi\)
0.634024 + 0.773313i \(0.281402\pi\)
\(720\) −11.0965 41.6617i −0.413544 1.55264i
\(721\) 1.47570 + 2.41437i 0.0549580 + 0.0899160i
\(722\) 25.7458 7.69057i 0.958160 0.286213i
\(723\) 18.3036 + 10.5676i 0.680717 + 0.393012i
\(724\) −18.0757 9.10579i −0.671779 0.338414i
\(725\) −10.3967 34.4855i −0.386124 1.28076i
\(726\) −18.9108 + 79.5730i −0.701844 + 2.95323i
\(727\) 36.7341i 1.36239i 0.732100 + 0.681197i \(0.238540\pi\)
−0.732100 + 0.681197i \(0.761460\pi\)
\(728\) −8.41410 21.5495i −0.311847 0.798679i
\(729\) −43.7934 −1.62198
\(730\) −12.0415 25.7995i −0.445674 0.954881i
\(731\) −21.9300 + 12.6613i −0.811110 + 0.468295i
\(732\) 22.4057 + 11.2870i 0.828138 + 0.417181i
\(733\) −29.6150 17.0982i −1.09386 0.631538i −0.159256 0.987237i \(-0.550909\pi\)
−0.934600 + 0.355699i \(0.884243\pi\)
\(734\) 4.61255 + 15.4415i 0.170252 + 0.569956i
\(735\) 41.4504 + 14.0654i 1.52892 + 0.518812i
\(736\) 1.68764 14.0641i 0.0622073 0.518408i
\(737\) 24.3274 + 14.0454i 0.896112 + 0.517370i
\(738\) −49.9294 + 52.8570i −1.83793 + 1.94569i
\(739\) 4.15465 + 7.19607i 0.152831 + 0.264712i 0.932267 0.361770i \(-0.117828\pi\)
−0.779436 + 0.626482i \(0.784494\pi\)
\(740\) 1.33611 + 1.50218i 0.0491163 + 0.0552211i
\(741\) 0.0895055 0.00328807
\(742\) −15.8968 3.36001i −0.583589 0.123350i
\(743\) 35.6106 1.30642 0.653212 0.757175i \(-0.273421\pi\)
0.653212 + 0.757175i \(0.273421\pi\)
\(744\) 13.4374 + 37.1315i 0.492638 + 1.36131i
\(745\) 6.55163 16.5378i 0.240033 0.605900i
\(746\) −30.5637 28.8709i −1.11902 1.05704i
\(747\) 27.3090 47.3006i 0.999185 1.73064i
\(748\) 25.2494 16.5624i 0.923211 0.605583i
\(749\) −1.31711 2.15490i −0.0481261 0.0787384i
\(750\) −29.4698 32.9637i −1.07609 1.20366i
\(751\) 2.56757 + 1.48238i 0.0936918 + 0.0540930i 0.546114 0.837711i \(-0.316107\pi\)
−0.452422 + 0.891804i \(0.649440\pi\)
\(752\) 0.650290 + 5.68465i 0.0237136 + 0.207298i
\(753\) 58.5132 33.7826i 2.13234 1.23111i
\(754\) 7.28184 30.6406i 0.265189 1.11587i
\(755\) 27.7052 + 34.9697i 1.00830 + 1.27268i
\(756\) 15.3330 + 22.1462i 0.557654 + 0.805449i
\(757\) −50.4876 −1.83500 −0.917502 0.397732i \(-0.869797\pi\)
−0.917502 + 0.397732i \(0.869797\pi\)
\(758\) 11.6770 49.1345i 0.424127 1.78465i
\(759\) 19.7070 + 34.1335i 0.715319 + 1.23897i
\(760\) 0.0310264 + 0.0576633i 0.00112544 + 0.00209167i
\(761\) 34.8961 + 20.1473i 1.26498 + 0.730339i 0.974035 0.226399i \(-0.0726955\pi\)
0.290950 + 0.956738i \(0.406029\pi\)
\(762\) −55.8777 + 16.6913i −2.02424 + 0.604663i
\(763\) 2.26867 0.0567881i 0.0821314 0.00205587i
\(764\) −13.0382 19.8768i −0.471706 0.719117i
\(765\) −4.21795 28.6036i −0.152500 1.03417i
\(766\) −30.3512 + 32.1309i −1.09663 + 1.16094i
\(767\) 0.572629 + 0.991823i 0.0206764 + 0.0358126i
\(768\) 43.5878 10.1046i 1.57284 0.364618i
\(769\) 19.4159i 0.700154i −0.936721 0.350077i \(-0.886155\pi\)
0.936721 0.350077i \(-0.113845\pi\)
\(770\) −2.91273 + 47.0019i −0.104968 + 1.69383i
\(771\) −30.0096 −1.08077
\(772\) 3.36799 0.192013i 0.121217 0.00691069i
\(773\) −3.26975 + 1.88779i −0.117605 + 0.0678992i −0.557649 0.830077i \(-0.688296\pi\)
0.440044 + 0.897976i \(0.354963\pi\)
\(774\) 44.1900 46.7811i 1.58838