Properties

Label 546.2.u.a.185.5
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.u (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(76\)
Relative dimension: \(38\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 185.5
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.38893 + 1.03484i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.75377 - 3.03762i) q^{5} +(1.72026 - 0.201730i) q^{6} +(1.37341 - 2.26136i) q^{7} -1.00000i q^{8} +(0.858232 - 2.87462i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.38893 + 1.03484i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.75377 - 3.03762i) q^{5} +(1.72026 - 0.201730i) q^{6} +(1.37341 - 2.26136i) q^{7} -1.00000i q^{8} +(0.858232 - 2.87462i) q^{9} +3.50754i q^{10} +3.53979i q^{11} +(-1.59066 - 0.685428i) q^{12} +(-3.59167 + 0.316032i) q^{13} +(-2.32009 + 1.27169i) q^{14} +(5.57930 + 2.40417i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.97842 + 3.42672i) q^{17} +(-2.18056 + 2.06038i) q^{18} -6.65733i q^{19} +(1.75377 - 3.03762i) q^{20} +(0.432561 + 4.56211i) q^{21} +(1.76989 - 3.06555i) q^{22} +(1.11366 + 0.642974i) q^{23} +(1.03484 + 1.38893i) q^{24} +(-3.65143 + 6.32446i) q^{25} +(3.26850 + 1.52215i) q^{26} +(1.78274 + 4.88076i) q^{27} +(2.64510 + 0.0587331i) q^{28} +(-5.71124 + 3.29739i) q^{29} +(-3.62973 - 4.87172i) q^{30} +(-8.14013 - 4.69971i) q^{31} +(0.866025 - 0.500000i) q^{32} +(-3.66310 - 4.91650i) q^{33} -3.95683i q^{34} +(-9.27780 - 0.206009i) q^{35} +(2.91861 - 0.694059i) q^{36} +(-5.28837 + 9.15972i) q^{37} +(-3.32866 + 5.76542i) q^{38} +(4.66153 - 4.15574i) q^{39} +(-3.03762 + 1.75377i) q^{40} +(-2.84220 - 4.92284i) q^{41} +(1.90645 - 4.16719i) q^{42} +(-2.79284 + 4.83734i) q^{43} +(-3.06555 + 1.76989i) q^{44} +(-10.2372 + 2.43444i) q^{45} +(-0.642974 - 1.11366i) q^{46} +(-0.0582673 - 0.100922i) q^{47} +(-0.201730 - 1.72026i) q^{48} +(-3.22747 - 6.21156i) q^{49} +(6.32446 - 3.65143i) q^{50} +(-6.29397 - 2.71212i) q^{51} +(-2.06953 - 2.95247i) q^{52} +(-6.70912 - 3.87351i) q^{53} +(0.896487 - 5.11823i) q^{54} +(10.7525 - 6.20798i) q^{55} +(-2.26136 - 1.37341i) q^{56} +(6.88924 + 9.24654i) q^{57} +6.59478 q^{58} +(2.84121 + 4.92113i) q^{59} +(0.707578 + 6.03390i) q^{60} +10.9893i q^{61} +(4.69971 + 8.14013i) q^{62} +(-5.32183 - 5.88881i) q^{63} -1.00000 q^{64} +(7.25896 + 10.3559i) q^{65} +(0.714083 + 6.08936i) q^{66} +7.68334 q^{67} +(-1.97842 + 3.42672i) q^{68} +(-2.21217 + 0.259415i) q^{69} +(7.93181 + 4.81731i) q^{70} +(-8.18290 - 4.72440i) q^{71} +(-2.87462 - 0.858232i) q^{72} +(3.73438 + 2.15605i) q^{73} +(9.15972 - 5.28837i) q^{74} +(-1.47321 - 12.5628i) q^{75} +(5.76542 - 3.32866i) q^{76} +(8.00472 + 4.86159i) q^{77} +(-6.11487 + 1.26821i) q^{78} +(-2.63559 - 4.56498i) q^{79} +3.50754 q^{80} +(-7.52687 - 4.93418i) q^{81} +5.68441i q^{82} +2.03056 q^{83} +(-3.73463 + 2.65567i) q^{84} +(6.93939 - 12.0194i) q^{85} +(4.83734 - 2.79284i) q^{86} +(4.52024 - 10.4900i) q^{87} +3.53979 q^{88} +(-0.177296 + 0.307085i) q^{89} +(10.0829 + 3.01029i) q^{90} +(-4.21820 + 8.55610i) q^{91} +1.28595i q^{92} +(16.1695 - 1.89615i) q^{93} +0.116535i q^{94} +(-20.2224 + 11.6754i) q^{95} +(-0.685428 + 1.59066i) q^{96} +(-0.507481 - 0.292994i) q^{97} +(-0.310710 + 6.99310i) q^{98} +(10.1755 + 3.03796i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\) \(e\left(\frac{1}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.38893 + 1.03484i −0.801897 + 0.597462i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.75377 3.03762i −0.784311 1.35847i −0.929410 0.369049i \(-0.879684\pi\)
0.145099 0.989417i \(-0.453650\pi\)
\(6\) 1.72026 0.201730i 0.702294 0.0823561i
\(7\) 1.37341 2.26136i 0.519102 0.854712i
\(8\) 1.00000i 0.353553i
\(9\) 0.858232 2.87462i 0.286077 0.958207i
\(10\) 3.50754i 1.10918i
\(11\) 3.53979i 1.06729i 0.845710 + 0.533643i \(0.179177\pi\)
−0.845710 + 0.533643i \(0.820823\pi\)
\(12\) −1.59066 0.685428i −0.459183 0.197866i
\(13\) −3.59167 + 0.316032i −0.996151 + 0.0876514i
\(14\) −2.32009 + 1.27169i −0.620070 + 0.339872i
\(15\) 5.57930 + 2.40417i 1.44057 + 0.620754i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.97842 + 3.42672i 0.479837 + 0.831102i 0.999733 0.0231281i \(-0.00736256\pi\)
−0.519896 + 0.854230i \(0.674029\pi\)
\(18\) −2.18056 + 2.06038i −0.513963 + 0.485636i
\(19\) 6.65733i 1.52730i −0.645633 0.763648i \(-0.723406\pi\)
0.645633 0.763648i \(-0.276594\pi\)
\(20\) 1.75377 3.03762i 0.392155 0.679233i
\(21\) 0.432561 + 4.56211i 0.0943924 + 0.995535i
\(22\) 1.76989 3.06555i 0.377343 0.653576i
\(23\) 1.11366 + 0.642974i 0.232215 + 0.134069i 0.611593 0.791172i \(-0.290529\pi\)
−0.379379 + 0.925242i \(0.623862\pi\)
\(24\) 1.03484 + 1.38893i 0.211235 + 0.283513i
\(25\) −3.65143 + 6.32446i −0.730286 + 1.26489i
\(26\) 3.26850 + 1.52215i 0.641005 + 0.298517i
\(27\) 1.78274 + 4.88076i 0.343088 + 0.939303i
\(28\) 2.64510 + 0.0587331i 0.499877 + 0.0110995i
\(29\) −5.71124 + 3.29739i −1.06055 + 0.612310i −0.925585 0.378540i \(-0.876426\pi\)
−0.134967 + 0.990850i \(0.543093\pi\)
\(30\) −3.62973 4.87172i −0.662695 0.889450i
\(31\) −8.14013 4.69971i −1.46201 0.844092i −0.462906 0.886407i \(-0.653193\pi\)
−0.999104 + 0.0423149i \(0.986527\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) −3.66310 4.91650i −0.637663 0.855853i
\(34\) 3.95683i 0.678592i
\(35\) −9.27780 0.206009i −1.56823 0.0348219i
\(36\) 2.91861 0.694059i 0.486435 0.115676i
\(37\) −5.28837 + 9.15972i −0.869402 + 1.50585i −0.00679300 + 0.999977i \(0.502162\pi\)
−0.862609 + 0.505871i \(0.831171\pi\)
\(38\) −3.32866 + 5.76542i −0.539981 + 0.935274i
\(39\) 4.66153 4.15574i 0.746442 0.665450i
\(40\) −3.03762 + 1.75377i −0.480290 + 0.277296i
\(41\) −2.84220 4.92284i −0.443877 0.768818i 0.554096 0.832453i \(-0.313064\pi\)
−0.997973 + 0.0636346i \(0.979731\pi\)
\(42\) 1.90645 4.16719i 0.294171 0.643011i
\(43\) −2.79284 + 4.83734i −0.425904 + 0.737688i −0.996504 0.0835402i \(-0.973377\pi\)
0.570600 + 0.821228i \(0.306711\pi\)
\(44\) −3.06555 + 1.76989i −0.462148 + 0.266821i
\(45\) −10.2372 + 2.43444i −1.52606 + 0.362905i
\(46\) −0.642974 1.11366i −0.0948013 0.164201i
\(47\) −0.0582673 0.100922i −0.00849915 0.0147210i 0.861745 0.507342i \(-0.169372\pi\)
−0.870244 + 0.492621i \(0.836039\pi\)
\(48\) −0.201730 1.72026i −0.0291173 0.248299i
\(49\) −3.22747 6.21156i −0.461067 0.887365i
\(50\) 6.32446 3.65143i 0.894414 0.516390i
\(51\) −6.29397 2.71212i −0.881332 0.379773i
\(52\) −2.06953 2.95247i −0.286992 0.409433i
\(53\) −6.70912 3.87351i −0.921568 0.532068i −0.0374333 0.999299i \(-0.511918\pi\)
−0.884135 + 0.467231i \(0.845251\pi\)
\(54\) 0.896487 5.11823i 0.121996 0.696503i
\(55\) 10.7525 6.20798i 1.44987 0.837084i
\(56\) −2.26136 1.37341i −0.302186 0.183530i
\(57\) 6.88924 + 9.24654i 0.912502 + 1.22473i
\(58\) 6.59478 0.865937
\(59\) 2.84121 + 4.92113i 0.369894 + 0.640676i 0.989549 0.144199i \(-0.0460605\pi\)
−0.619654 + 0.784875i \(0.712727\pi\)
\(60\) 0.707578 + 6.03390i 0.0913480 + 0.778973i
\(61\) 10.9893i 1.40704i 0.710677 + 0.703519i \(0.248389\pi\)
−0.710677 + 0.703519i \(0.751611\pi\)
\(62\) 4.69971 + 8.14013i 0.596863 + 1.03380i
\(63\) −5.32183 5.88881i −0.670488 0.741921i
\(64\) −1.00000 −0.125000
\(65\) 7.25896 + 10.3559i 0.900363 + 1.28449i
\(66\) 0.714083 + 6.08936i 0.0878975 + 0.749549i
\(67\) 7.68334 0.938670 0.469335 0.883020i \(-0.344494\pi\)
0.469335 + 0.883020i \(0.344494\pi\)
\(68\) −1.97842 + 3.42672i −0.239918 + 0.415551i
\(69\) −2.21217 + 0.259415i −0.266314 + 0.0312299i
\(70\) 7.93181 + 4.81731i 0.948032 + 0.575779i
\(71\) −8.18290 4.72440i −0.971132 0.560683i −0.0715506 0.997437i \(-0.522795\pi\)
−0.899581 + 0.436754i \(0.856128\pi\)
\(72\) −2.87462 0.858232i −0.338777 0.101144i
\(73\) 3.73438 + 2.15605i 0.437076 + 0.252346i 0.702357 0.711825i \(-0.252131\pi\)
−0.265280 + 0.964171i \(0.585464\pi\)
\(74\) 9.15972 5.28837i 1.06480 0.614760i
\(75\) −1.47321 12.5628i −0.170112 1.45063i
\(76\) 5.76542 3.32866i 0.661338 0.381824i
\(77\) 8.00472 + 4.86159i 0.912222 + 0.554030i
\(78\) −6.11487 + 1.26821i −0.692373 + 0.143596i
\(79\) −2.63559 4.56498i −0.296527 0.513601i 0.678812 0.734312i \(-0.262495\pi\)
−0.975339 + 0.220712i \(0.929162\pi\)
\(80\) 3.50754 0.392155
\(81\) −7.52687 4.93418i −0.836319 0.548243i
\(82\) 5.68441i 0.627738i
\(83\) 2.03056 0.222882 0.111441 0.993771i \(-0.464453\pi\)
0.111441 + 0.993771i \(0.464453\pi\)
\(84\) −3.73463 + 2.65567i −0.407481 + 0.289757i
\(85\) 6.93939 12.0194i 0.752682 1.30368i
\(86\) 4.83734 2.79284i 0.521624 0.301160i
\(87\) 4.52024 10.4900i 0.484621 1.12465i
\(88\) 3.53979 0.377343
\(89\) −0.177296 + 0.307085i −0.0187933 + 0.0325509i −0.875269 0.483636i \(-0.839316\pi\)
0.856476 + 0.516187i \(0.172649\pi\)
\(90\) 10.0829 + 3.01029i 1.06283 + 0.317312i
\(91\) −4.21820 + 8.55610i −0.442187 + 0.896923i
\(92\) 1.28595i 0.134069i
\(93\) 16.1695 1.89615i 1.67670 0.196621i
\(94\) 0.116535i 0.0120196i
\(95\) −20.2224 + 11.6754i −2.07478 + 1.19787i
\(96\) −0.685428 + 1.59066i −0.0699562 + 0.162346i
\(97\) −0.507481 0.292994i −0.0515269 0.0297491i 0.474015 0.880517i \(-0.342804\pi\)
−0.525542 + 0.850768i \(0.676137\pi\)
\(98\) −0.310710 + 6.99310i −0.0313865 + 0.706410i
\(99\) 10.1755 + 3.03796i 1.02268 + 0.305326i
\(100\) −7.30286 −0.730286
\(101\) 3.92396 0.390449 0.195224 0.980759i \(-0.437457\pi\)
0.195224 + 0.980759i \(0.437457\pi\)
\(102\) 4.09467 + 5.49575i 0.405433 + 0.544161i
\(103\) −10.0847 + 5.82239i −0.993673 + 0.573698i −0.906370 0.422484i \(-0.861158\pi\)
−0.0873031 + 0.996182i \(0.527825\pi\)
\(104\) 0.316032 + 3.59167i 0.0309895 + 0.352193i
\(105\) 13.0994 9.31486i 1.27837 0.909038i
\(106\) 3.87351 + 6.70912i 0.376229 + 0.651647i
\(107\) −6.26058 3.61455i −0.605233 0.349432i 0.165864 0.986149i \(-0.446959\pi\)
−0.771098 + 0.636717i \(0.780292\pi\)
\(108\) −3.33550 + 3.98428i −0.320958 + 0.383387i
\(109\) 2.42081 4.19296i 0.231871 0.401613i −0.726487 0.687180i \(-0.758848\pi\)
0.958359 + 0.285567i \(0.0921818\pi\)
\(110\) −12.4160 −1.18381
\(111\) −2.13365 18.1948i −0.202517 1.72697i
\(112\) 1.27169 + 2.32009i 0.120163 + 0.219228i
\(113\) 17.4151 + 10.0546i 1.63828 + 0.945859i 0.981427 + 0.191836i \(0.0614442\pi\)
0.656848 + 0.754023i \(0.271889\pi\)
\(114\) −1.34299 11.4524i −0.125782 1.07261i
\(115\) 4.51052i 0.420608i
\(116\) −5.71124 3.29739i −0.530276 0.306155i
\(117\) −2.17402 + 10.5959i −0.200988 + 0.979594i
\(118\) 5.68243i 0.523110i
\(119\) 10.4662 + 0.232397i 0.959437 + 0.0213038i
\(120\) 2.40417 5.57930i 0.219470 0.509318i
\(121\) −1.53009 −0.139099
\(122\) 5.49466 9.51703i 0.497463 0.861631i
\(123\) 9.04194 + 3.89625i 0.815284 + 0.351313i
\(124\) 9.39941i 0.844092i
\(125\) 8.07739 0.722464
\(126\) 1.66444 + 7.76078i 0.148280 + 0.691385i
\(127\) 1.68665 + 2.92136i 0.149666 + 0.259228i 0.931104 0.364754i \(-0.118847\pi\)
−0.781438 + 0.623983i \(0.785514\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −1.12680 9.60884i −0.0992094 0.846011i
\(130\) −1.10850 12.5980i −0.0972215 1.10491i
\(131\) −3.63596 6.29766i −0.317675 0.550229i 0.662328 0.749214i \(-0.269569\pi\)
−0.980002 + 0.198985i \(0.936235\pi\)
\(132\) 2.42627 5.63059i 0.211180 0.490080i
\(133\) −15.0546 9.14327i −1.30540 0.792822i
\(134\) −6.65397 3.84167i −0.574815 0.331870i
\(135\) 11.6994 13.9750i 1.00692 1.20278i
\(136\) 3.42672 1.97842i 0.293839 0.169648i
\(137\) −6.43264 + 3.71389i −0.549578 + 0.317299i −0.748952 0.662625i \(-0.769443\pi\)
0.199374 + 0.979923i \(0.436109\pi\)
\(138\) 2.04550 + 0.881424i 0.174125 + 0.0750318i
\(139\) −3.55436 2.05211i −0.301477 0.174058i 0.341629 0.939835i \(-0.389021\pi\)
−0.643106 + 0.765777i \(0.722355\pi\)
\(140\) −4.46049 8.13782i −0.376980 0.687771i
\(141\) 0.185366 + 0.0798760i 0.0156107 + 0.00672677i
\(142\) 4.72440 + 8.18290i 0.396463 + 0.686694i
\(143\) −1.11868 12.7138i −0.0935491 1.06318i
\(144\) 2.06038 + 2.18056i 0.171698 + 0.181713i
\(145\) 20.0324 + 11.5657i 1.66360 + 0.960482i
\(146\) −2.15605 3.73438i −0.178436 0.309060i
\(147\) 10.9107 + 5.28750i 0.899896 + 0.436106i
\(148\) −10.5767 −0.869402
\(149\) 2.55296i 0.209147i 0.994517 + 0.104573i \(0.0333477\pi\)
−0.994517 + 0.104573i \(0.966652\pi\)
\(150\) −5.00559 + 11.6163i −0.408704 + 0.948471i
\(151\) 4.89737 8.48249i 0.398542 0.690296i −0.595004 0.803723i \(-0.702850\pi\)
0.993546 + 0.113427i \(0.0361829\pi\)
\(152\) −6.65733 −0.539981
\(153\) 11.5485 2.74628i 0.933637 0.222023i
\(154\) −4.50149 8.21262i −0.362741 0.661792i
\(155\) 32.9689i 2.64812i
\(156\) 5.92974 + 1.95914i 0.474759 + 0.156856i
\(157\) −11.3514 6.55373i −0.905940 0.523045i −0.0268175 0.999640i \(-0.508537\pi\)
−0.879123 + 0.476596i \(0.841871\pi\)
\(158\) 5.27119i 0.419353i
\(159\) 13.3269 1.56281i 1.05689 0.123939i
\(160\) −3.03762 1.75377i −0.240145 0.138648i
\(161\) 2.98351 1.63532i 0.235134 0.128881i
\(162\) 4.05137 + 8.03656i 0.318306 + 0.631412i
\(163\) 14.4366 1.13076 0.565380 0.824831i \(-0.308730\pi\)
0.565380 + 0.824831i \(0.308730\pi\)
\(164\) 2.84220 4.92284i 0.221939 0.384409i
\(165\) −8.51024 + 19.7495i −0.662521 + 1.53750i
\(166\) −1.75851 1.01528i −0.136487 0.0788009i
\(167\) −8.84596 15.3217i −0.684521 1.18563i −0.973587 0.228316i \(-0.926678\pi\)
0.289066 0.957309i \(-0.406655\pi\)
\(168\) 4.56211 0.432561i 0.351975 0.0333728i
\(169\) 12.8002 2.27017i 0.984634 0.174628i
\(170\) −12.0194 + 6.93939i −0.921844 + 0.532227i
\(171\) −19.1373 5.71353i −1.46346 0.436925i
\(172\) −5.58568 −0.425904
\(173\) −5.71063 −0.434171 −0.217086 0.976153i \(-0.569655\pi\)
−0.217086 + 0.976153i \(0.569655\pi\)
\(174\) −9.15966 + 6.82451i −0.694392 + 0.517365i
\(175\) 9.28694 + 16.9433i 0.702027 + 1.28079i
\(176\) −3.06555 1.76989i −0.231074 0.133411i
\(177\) −9.03879 3.89489i −0.679397 0.292758i
\(178\) 0.307085 0.177296i 0.0230170 0.0132889i
\(179\) 15.3079i 1.14417i −0.820196 0.572083i \(-0.806136\pi\)
0.820196 0.572083i \(-0.193864\pi\)
\(180\) −7.22686 7.64841i −0.538659 0.570079i
\(181\) 16.4841i 1.22525i −0.790373 0.612627i \(-0.790113\pi\)
0.790373 0.612627i \(-0.209887\pi\)
\(182\) 7.93111 5.30070i 0.587893 0.392914i
\(183\) −11.3721 15.2633i −0.840652 1.12830i
\(184\) 0.642974 1.11366i 0.0474007 0.0821003i
\(185\) 37.0983 2.72752
\(186\) −14.9512 6.44262i −1.09628 0.472396i
\(187\) −12.1299 + 7.00318i −0.887023 + 0.512123i
\(188\) 0.0582673 0.100922i 0.00424958 0.00736048i
\(189\) 13.4856 + 2.67191i 0.980932 + 0.194353i
\(190\) 23.3509 1.69405
\(191\) 7.99466i 0.578473i −0.957258 0.289237i \(-0.906599\pi\)
0.957258 0.289237i \(-0.0934015\pi\)
\(192\) 1.38893 1.03484i 0.100237 0.0746828i
\(193\) −15.9681 −1.14941 −0.574703 0.818362i \(-0.694882\pi\)
−0.574703 + 0.818362i \(0.694882\pi\)
\(194\) 0.292994 + 0.507481i 0.0210358 + 0.0364350i
\(195\) −20.7988 6.87175i −1.48943 0.492096i
\(196\) 3.76563 5.90085i 0.268974 0.421489i
\(197\) −23.1575 + 13.3700i −1.64990 + 0.952571i −0.672794 + 0.739830i \(0.734906\pi\)
−0.977109 + 0.212741i \(0.931761\pi\)
\(198\) −7.29330 7.71872i −0.518312 0.548546i
\(199\) −1.88267 + 1.08696i −0.133459 + 0.0770526i −0.565243 0.824924i \(-0.691218\pi\)
0.431784 + 0.901977i \(0.357884\pi\)
\(200\) 6.32446 + 3.65143i 0.447207 + 0.258195i
\(201\) −10.6716 + 7.95099i −0.752716 + 0.560820i
\(202\) −3.39825 1.96198i −0.239100 0.138044i
\(203\) −0.387332 + 17.4438i −0.0271854 + 1.22432i
\(204\) −0.798214 6.80680i −0.0558862 0.476571i
\(205\) −9.96915 + 17.2671i −0.696276 + 1.20598i
\(206\) 11.6448 0.811331
\(207\) 2.80409 2.64954i 0.194898 0.184156i
\(208\) 1.52215 3.26850i 0.105542 0.226629i
\(209\) 23.5655 1.63006
\(210\) −16.0018 + 1.51722i −1.10423 + 0.104698i
\(211\) −2.63990 4.57244i −0.181738 0.314779i 0.760734 0.649063i \(-0.224839\pi\)
−0.942472 + 0.334284i \(0.891506\pi\)
\(212\) 7.74702i 0.532068i
\(213\) 16.2544 1.90611i 1.11373 0.130605i
\(214\) 3.61455 + 6.26058i 0.247085 + 0.427964i
\(215\) 19.5920 1.33616
\(216\) 4.88076 1.78274i 0.332094 0.121300i
\(217\) −21.8075 + 11.9531i −1.48039 + 0.811429i
\(218\) −4.19296 + 2.42081i −0.283983 + 0.163958i
\(219\) −7.41793 + 0.869880i −0.501258 + 0.0587811i
\(220\) 10.7525 + 6.20798i 0.724936 + 0.418542i
\(221\) −8.18878 11.6824i −0.550837 0.785844i
\(222\) −7.24959 + 16.8239i −0.486560 + 1.12915i
\(223\) 9.21057 5.31772i 0.616785 0.356101i −0.158831 0.987306i \(-0.550773\pi\)
0.775616 + 0.631205i \(0.217439\pi\)
\(224\) 0.0587331 2.64510i 0.00392427 0.176733i
\(225\) 15.0467 + 15.9243i 1.00311 + 1.06162i
\(226\) −10.0546 17.4151i −0.668823 1.15844i
\(227\) 0.975509 + 1.68963i 0.0647468 + 0.112145i 0.896582 0.442878i \(-0.146043\pi\)
−0.831835 + 0.555023i \(0.812709\pi\)
\(228\) −4.56312 + 10.5895i −0.302200 + 0.701308i
\(229\) −10.1017 + 5.83221i −0.667538 + 0.385403i −0.795143 0.606422i \(-0.792604\pi\)
0.127605 + 0.991825i \(0.459271\pi\)
\(230\) −2.25526 + 3.90622i −0.148707 + 0.257569i
\(231\) −16.1489 + 1.53117i −1.06252 + 0.100744i
\(232\) 3.29739 + 5.71124i 0.216484 + 0.374962i
\(233\) 11.6531 6.72790i 0.763418 0.440759i −0.0671038 0.997746i \(-0.521376\pi\)
0.830521 + 0.556987i \(0.188043\pi\)
\(234\) 7.18072 8.08933i 0.469418 0.528816i
\(235\) −0.204375 + 0.353988i −0.0133320 + 0.0230916i
\(236\) −2.84121 + 4.92113i −0.184947 + 0.320338i
\(237\) 8.38465 + 3.61302i 0.544641 + 0.234691i
\(238\) −8.94782 5.43437i −0.580001 0.352258i
\(239\) 4.27464i 0.276504i −0.990397 0.138252i \(-0.955852\pi\)
0.990397 0.138252i \(-0.0441483\pi\)
\(240\) −4.87172 + 3.62973i −0.314468 + 0.234298i
\(241\) −12.5372 + 7.23838i −0.807595 + 0.466265i −0.846120 0.532993i \(-0.821067\pi\)
0.0385251 + 0.999258i \(0.487734\pi\)
\(242\) 1.32510 + 0.765044i 0.0851804 + 0.0491789i
\(243\) 15.5603 0.935859i 0.998196 0.0600354i
\(244\) −9.51703 + 5.49466i −0.609265 + 0.351759i
\(245\) −13.2081 + 20.6975i −0.843836 + 1.32231i
\(246\) −5.88242 7.89522i −0.375050 0.503381i
\(247\) 2.10393 + 23.9110i 0.133870 + 1.52142i
\(248\) −4.69971 + 8.14013i −0.298432 + 0.516899i
\(249\) −2.82029 + 2.10129i −0.178729 + 0.133164i
\(250\) −6.99523 4.03870i −0.442417 0.255430i
\(251\) −0.147269 + 0.255078i −0.00929556 + 0.0161004i −0.870636 0.491928i \(-0.836292\pi\)
0.861340 + 0.508029i \(0.169626\pi\)
\(252\) 2.43895 7.55325i 0.153639 0.475810i
\(253\) −2.27599 + 3.94213i −0.143090 + 0.247840i
\(254\) 3.37329i 0.211659i
\(255\) 2.79977 + 23.8751i 0.175328 + 1.49512i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 5.59938 9.69842i 0.349280 0.604971i −0.636842 0.770995i \(-0.719760\pi\)
0.986122 + 0.166024i \(0.0530929\pi\)
\(258\) −3.82858 + 8.88490i −0.238357 + 0.553150i
\(259\) 13.4503 + 24.5390i 0.835759 + 1.52478i
\(260\) −5.33899 + 11.4644i −0.331110 + 0.710992i
\(261\) 4.57716 + 19.2476i 0.283319 + 1.19140i
\(262\) 7.27191i 0.449260i
\(263\) 4.16185i 0.256631i −0.991733 0.128315i \(-0.959043\pi\)
0.991733 0.128315i \(-0.0409570\pi\)
\(264\) −4.91650 + 3.66310i −0.302590 + 0.225448i
\(265\) 27.1730i 1.66923i
\(266\) 8.46603 + 15.4456i 0.519085 + 0.947030i
\(267\) −0.0715318 0.609990i −0.00437768 0.0373308i
\(268\) 3.84167 + 6.65397i 0.234667 + 0.406456i
\(269\) −12.1358 21.0198i −0.739930 1.28160i −0.952526 0.304457i \(-0.901525\pi\)
0.212596 0.977140i \(-0.431808\pi\)
\(270\) −17.1195 + 6.25302i −1.04186 + 0.380547i
\(271\) 10.7289 + 6.19435i 0.651736 + 0.376280i 0.789121 0.614238i \(-0.210536\pi\)
−0.137385 + 0.990518i \(0.543870\pi\)
\(272\) −3.95683 −0.239918
\(273\) −2.99539 16.2489i −0.181289 0.983430i
\(274\) 7.42778 0.448728
\(275\) −22.3873 12.9253i −1.35000 0.779424i
\(276\) −1.33074 1.78609i −0.0801014 0.107510i
\(277\) 5.14794 + 8.91649i 0.309310 + 0.535740i 0.978212 0.207611i \(-0.0665688\pi\)
−0.668902 + 0.743351i \(0.733235\pi\)
\(278\) 2.05211 + 3.55436i 0.123077 + 0.213176i
\(279\) −20.4960 + 19.3663i −1.22706 + 1.15943i
\(280\) −0.206009 + 9.27780i −0.0123114 + 0.554455i
\(281\) 6.21604i 0.370818i 0.982661 + 0.185409i \(0.0593610\pi\)
−0.982661 + 0.185409i \(0.940639\pi\)
\(282\) −0.120594 0.161858i −0.00718127 0.00963850i
\(283\) 13.4407i 0.798967i −0.916740 0.399484i \(-0.869189\pi\)
0.916740 0.399484i \(-0.130811\pi\)
\(284\) 9.44880i 0.560683i
\(285\) 16.0053 37.1432i 0.948074 2.20017i
\(286\) −5.38807 + 11.5698i −0.318603 + 0.684136i
\(287\) −15.0358 0.333863i −0.887536 0.0197073i
\(288\) −0.694059 2.91861i −0.0408978 0.171981i
\(289\) 0.671728 1.16347i 0.0395134 0.0684393i
\(290\) −11.5657 20.0324i −0.679163 1.17635i
\(291\) 1.00805 0.118212i 0.0590932 0.00692969i
\(292\) 4.31209i 0.252346i
\(293\) 6.36341 11.0218i 0.371755 0.643898i −0.618081 0.786114i \(-0.712090\pi\)
0.989836 + 0.142217i \(0.0454230\pi\)
\(294\) −6.80515 10.0344i −0.396885 0.585220i
\(295\) 9.96568 17.2611i 0.580224 1.00498i
\(296\) 9.15972 + 5.28837i 0.532398 + 0.307380i
\(297\) −17.2769 + 6.31050i −1.00251 + 0.366173i
\(298\) 1.27648 2.21093i 0.0739445 0.128076i
\(299\) −4.20312 1.95740i −0.243072 0.113199i
\(300\) 10.1431 7.55726i 0.585614 0.436319i
\(301\) 7.10323 + 12.9593i 0.409423 + 0.746961i
\(302\) −8.48249 + 4.89737i −0.488113 + 0.281812i
\(303\) −5.45009 + 4.06065i −0.313100 + 0.233278i
\(304\) 5.76542 + 3.32866i 0.330669 + 0.190912i
\(305\) 33.3814 19.2728i 1.91141 1.10355i
\(306\) −11.3744 3.39588i −0.650231 0.194130i
\(307\) 25.8938i 1.47784i −0.673796 0.738918i \(-0.735337\pi\)
0.673796 0.738918i \(-0.264663\pi\)
\(308\) −0.207903 + 9.36309i −0.0118464 + 0.533511i
\(309\) 7.98166 18.5229i 0.454061 1.05373i
\(310\) 16.4844 28.5519i 0.936253 1.62164i
\(311\) −2.45036 + 4.24415i −0.138947 + 0.240664i −0.927098 0.374818i \(-0.877705\pi\)
0.788151 + 0.615482i \(0.211038\pi\)
\(312\) −4.15574 4.66153i −0.235272 0.263907i
\(313\) −18.2027 + 10.5093i −1.02888 + 0.594022i −0.916662 0.399663i \(-0.869127\pi\)
−0.112213 + 0.993684i \(0.535794\pi\)
\(314\) 6.55373 + 11.3514i 0.369849 + 0.640596i
\(315\) −8.55471 + 26.4933i −0.482003 + 1.49273i
\(316\) 2.63559 4.56498i 0.148264 0.256800i
\(317\) −12.9313 + 7.46591i −0.726296 + 0.419327i −0.817066 0.576545i \(-0.804401\pi\)
0.0907693 + 0.995872i \(0.471067\pi\)
\(318\) −12.3229 5.31003i −0.691031 0.297771i
\(319\) −11.6721 20.2166i −0.653509 1.13191i
\(320\) 1.75377 + 3.03762i 0.0980388 + 0.169808i
\(321\) 12.4359 1.45833i 0.694107 0.0813960i
\(322\) −3.40146 0.0755278i −0.189556 0.00420900i
\(323\) 22.8128 13.1710i 1.26934 0.732853i
\(324\) 0.509690 8.98556i 0.0283161 0.499198i
\(325\) 11.1160 23.8694i 0.616606 1.32404i
\(326\) −12.5024 7.21828i −0.692446 0.399784i
\(327\) 0.976701 + 8.32885i 0.0540117 + 0.460587i
\(328\) −4.92284 + 2.84220i −0.271818 + 0.156934i
\(329\) −0.308245 0.00684444i −0.0169941 0.000377346i
\(330\) 17.2448 12.8485i 0.949298 0.707285i
\(331\) 1.02485 0.0563309 0.0281655 0.999603i \(-0.491033\pi\)
0.0281655 + 0.999603i \(0.491033\pi\)
\(332\) 1.01528 + 1.75851i 0.0557206 + 0.0965109i
\(333\) 21.7921 + 23.0632i 1.19420 + 1.26386i
\(334\) 17.6919i 0.968059i
\(335\) −13.4748 23.3391i −0.736208 1.27515i
\(336\) −4.16719 1.90645i −0.227339 0.104005i
\(337\) 20.0548 1.09245 0.546226 0.837638i \(-0.316064\pi\)
0.546226 + 0.837638i \(0.316064\pi\)
\(338\) −12.2204 4.43410i −0.664703 0.241183i
\(339\) −34.5932 + 4.05664i −1.87884 + 0.220327i
\(340\) 13.8788 0.752682
\(341\) 16.6360 28.8143i 0.900888 1.56038i
\(342\) 13.7166 + 14.5167i 0.741709 + 0.784974i
\(343\) −18.4792 1.23259i −0.997783 0.0665534i
\(344\) 4.83734 + 2.79284i 0.260812 + 0.150580i
\(345\) 4.66764 + 6.26478i 0.251297 + 0.337284i
\(346\) 4.94555 + 2.85532i 0.265875 + 0.153503i
\(347\) 21.6096 12.4763i 1.16006 0.669763i 0.208744 0.977970i \(-0.433063\pi\)
0.951319 + 0.308208i \(0.0997292\pi\)
\(348\) 11.3448 1.33037i 0.608143 0.0713152i
\(349\) 7.17962 4.14516i 0.384316 0.221885i −0.295378 0.955380i \(-0.595446\pi\)
0.679695 + 0.733495i \(0.262112\pi\)
\(350\) 0.428920 19.3168i 0.0229267 1.03253i
\(351\) −7.94548 16.9667i −0.424099 0.905616i
\(352\) 1.76989 + 3.06555i 0.0943356 + 0.163394i
\(353\) −34.6377 −1.84358 −0.921789 0.387691i \(-0.873273\pi\)
−0.921789 + 0.387691i \(0.873273\pi\)
\(354\) 5.88037 + 7.89247i 0.312538 + 0.419480i
\(355\) 33.1421i 1.75900i
\(356\) −0.354591 −0.0187933
\(357\) −14.7773 + 10.5080i −0.782098 + 0.556144i
\(358\) −7.65395 + 13.2570i −0.404524 + 0.700656i
\(359\) 5.14944 2.97303i 0.271777 0.156910i −0.357918 0.933753i \(-0.616513\pi\)
0.629695 + 0.776843i \(0.283180\pi\)
\(360\) 2.43444 + 10.2372i 0.128306 + 0.539545i
\(361\) −25.3200 −1.33263
\(362\) −8.24205 + 14.2756i −0.433192 + 0.750311i
\(363\) 2.12518 1.58339i 0.111543 0.0831064i
\(364\) −9.51890 + 0.624985i −0.498926 + 0.0327581i
\(365\) 15.1249i 0.791671i
\(366\) 2.21688 + 18.9045i 0.115878 + 0.988155i
\(367\) 23.5380i 1.22867i 0.789044 + 0.614336i \(0.210576\pi\)
−0.789044 + 0.614336i \(0.789424\pi\)
\(368\) −1.11366 + 0.642974i −0.0580537 + 0.0335173i
\(369\) −16.5906 + 3.94531i −0.863670 + 0.205385i
\(370\) −32.1281 18.5492i −1.67026 0.964326i
\(371\) −17.9738 + 9.85178i −0.933153 + 0.511479i
\(372\) 9.72684 + 13.0551i 0.504313 + 0.676875i
\(373\) 1.51382 0.0783824 0.0391912 0.999232i \(-0.487522\pi\)
0.0391912 + 0.999232i \(0.487522\pi\)
\(374\) 14.0064 0.724251
\(375\) −11.2189 + 8.35877i −0.579342 + 0.431645i
\(376\) −0.100922 + 0.0582673i −0.00520465 + 0.00300491i
\(377\) 19.4709 13.6481i 1.00280 0.702912i
\(378\) −10.3429 9.05673i −0.531982 0.465828i
\(379\) −12.9429 22.4178i −0.664832 1.15152i −0.979331 0.202265i \(-0.935170\pi\)
0.314499 0.949258i \(-0.398163\pi\)
\(380\) −20.2224 11.6754i −1.03739 0.598937i
\(381\) −5.36575 2.31215i −0.274896 0.118455i
\(382\) −3.99733 + 6.92358i −0.204521 + 0.354241i
\(383\) −9.62313 −0.491719 −0.245859 0.969306i \(-0.579070\pi\)
−0.245859 + 0.969306i \(0.579070\pi\)
\(384\) −1.72026 + 0.201730i −0.0877868 + 0.0102945i
\(385\) 0.729228 32.8414i 0.0371649 1.67375i
\(386\) 13.8287 + 7.98403i 0.703864 + 0.406376i
\(387\) 11.5086 + 12.1799i 0.585016 + 0.619140i
\(388\) 0.585988i 0.0297491i
\(389\) −17.2937 9.98452i −0.876825 0.506235i −0.00721490 0.999974i \(-0.502297\pi\)
−0.869610 + 0.493739i \(0.835630\pi\)
\(390\) 14.5764 + 16.3505i 0.738106 + 0.827941i
\(391\) 5.08828i 0.257326i
\(392\) −6.21156 + 3.22747i −0.313731 + 0.163012i
\(393\) 11.5671 + 4.98437i 0.583484 + 0.251428i
\(394\) 26.7400 1.34714
\(395\) −9.24446 + 16.0119i −0.465139 + 0.805645i
\(396\) 2.45682 + 10.3313i 0.123460 + 0.519165i
\(397\) 15.0494i 0.755306i −0.925947 0.377653i \(-0.876731\pi\)
0.925947 0.377653i \(-0.123269\pi\)
\(398\) 2.17392 0.108969
\(399\) 30.3715 2.87970i 1.52048 0.144165i
\(400\) −3.65143 6.32446i −0.182572 0.316223i
\(401\) 26.6844 + 15.4062i 1.33256 + 0.769351i 0.985691 0.168564i \(-0.0539129\pi\)
0.346865 + 0.937915i \(0.387246\pi\)
\(402\) 13.2174 1.54996i 0.659222 0.0773052i
\(403\) 30.7220 + 14.3073i 1.53037 + 0.712696i
\(404\) 1.96198 + 3.39825i 0.0976121 + 0.169069i
\(405\) −1.78776 + 31.5172i −0.0888346 + 1.56610i
\(406\) 9.05736 14.9131i 0.449509 0.740127i
\(407\) −32.4234 18.7197i −1.60717 0.927900i
\(408\) −2.71212 + 6.29397i −0.134270 + 0.311598i
\(409\) 2.86894 1.65638i 0.141860 0.0819028i −0.427390 0.904067i \(-0.640567\pi\)
0.569250 + 0.822164i \(0.307234\pi\)
\(410\) 17.2671 9.96915i 0.852760 0.492341i
\(411\) 5.09120 11.8150i 0.251131 0.582793i
\(412\) −10.0847 5.82239i −0.496837 0.286849i
\(413\) 15.0306 + 0.333747i 0.739607 + 0.0164226i
\(414\) −3.75318 + 0.892523i −0.184459 + 0.0438651i
\(415\) −3.56113 6.16806i −0.174809 0.302778i
\(416\) −2.95247 + 2.06953i −0.144757 + 0.101467i
\(417\) 7.06033 0.827946i 0.345746 0.0405447i
\(418\) −20.4083 11.7828i −0.998204 0.576314i
\(419\) 9.29999 + 16.1081i 0.454334 + 0.786930i 0.998650 0.0519505i \(-0.0165438\pi\)
−0.544315 + 0.838881i \(0.683210\pi\)
\(420\) 14.6166 + 6.68695i 0.713217 + 0.326290i
\(421\) 0.699811 0.0341067 0.0170534 0.999855i \(-0.494571\pi\)
0.0170534 + 0.999855i \(0.494571\pi\)
\(422\) 5.27979i 0.257016i
\(423\) −0.340119 + 0.0808818i −0.0165371 + 0.00393261i
\(424\) −3.87351 + 6.70912i −0.188114 + 0.325824i
\(425\) −28.8962 −1.40167
\(426\) −15.0298 6.47647i −0.728196 0.313786i
\(427\) 24.8508 + 15.0929i 1.20261 + 0.730396i
\(428\) 7.22910i 0.349432i
\(429\) 14.7104 + 16.5008i 0.710226 + 0.796667i
\(430\) −16.9672 9.79601i −0.818231 0.472406i
\(431\) 17.3613i 0.836264i −0.908386 0.418132i \(-0.862685\pi\)
0.908386 0.418132i \(-0.137315\pi\)
\(432\) −5.11823 0.896487i −0.246251 0.0431323i
\(433\) −23.7833 13.7313i −1.14295 0.659884i −0.195793 0.980645i \(-0.562728\pi\)
−0.947160 + 0.320761i \(0.896061\pi\)
\(434\) 24.8624 + 0.552057i 1.19343 + 0.0264996i
\(435\) −39.7922 + 4.66632i −1.90789 + 0.223733i
\(436\) 4.84162 0.231871
\(437\) 4.28049 7.41402i 0.204763 0.354661i
\(438\) 6.85906 + 2.95563i 0.327739 + 0.141225i
\(439\) −10.4717 6.04586i −0.499789 0.288553i 0.228838 0.973465i \(-0.426508\pi\)
−0.728626 + 0.684911i \(0.759841\pi\)
\(440\) −6.20798 10.7525i −0.295954 0.512607i
\(441\) −20.6258 + 3.94678i −0.982180 + 0.187942i
\(442\) 1.25049 + 14.2117i 0.0594795 + 0.675980i
\(443\) 8.19745 4.73280i 0.389473 0.224862i −0.292459 0.956278i \(-0.594473\pi\)
0.681932 + 0.731416i \(0.261140\pi\)
\(444\) 14.6903 10.9452i 0.697171 0.519435i
\(445\) 1.24374 0.0589591
\(446\) −10.6354 −0.503603
\(447\) −2.64189 3.54587i −0.124957 0.167714i
\(448\) −1.37341 + 2.26136i −0.0648877 + 0.106839i
\(449\) −1.05989 0.611927i −0.0500193 0.0288786i 0.474782 0.880104i \(-0.342527\pi\)
−0.524801 + 0.851225i \(0.675860\pi\)
\(450\) −5.06862 21.3142i −0.238937 1.00476i
\(451\) 17.4258 10.0608i 0.820549 0.473744i
\(452\) 20.1092i 0.945859i
\(453\) 1.97590 + 16.8495i 0.0928357 + 0.791660i
\(454\) 1.95102i 0.0915658i
\(455\) 33.3879 2.19216i 1.56525 0.102770i
\(456\) 9.24654 6.88924i 0.433009 0.322618i
\(457\) −3.06846 + 5.31473i −0.143536 + 0.248613i −0.928826 0.370516i \(-0.879181\pi\)
0.785289 + 0.619129i \(0.212514\pi\)
\(458\) 11.6644 0.545042
\(459\) −13.1980 + 15.7651i −0.616030 + 0.735853i
\(460\) 3.90622 2.25526i 0.182129 0.105152i
\(461\) −12.7435 + 22.0723i −0.593523 + 1.02801i 0.400231 + 0.916414i \(0.368930\pi\)
−0.993754 + 0.111597i \(0.964403\pi\)
\(462\) 14.7510 + 6.74842i 0.686276 + 0.313965i
\(463\) 15.6848 0.728937 0.364468 0.931216i \(-0.381251\pi\)
0.364468 + 0.931216i \(0.381251\pi\)
\(464\) 6.59478i 0.306155i
\(465\) −34.1173 45.7913i −1.58215 2.12352i
\(466\) −13.4558 −0.623328
\(467\) 13.1716 + 22.8139i 0.609508 + 1.05570i 0.991322 + 0.131460i \(0.0419664\pi\)
−0.381813 + 0.924239i \(0.624700\pi\)
\(468\) −10.2634 + 3.41521i −0.474424 + 0.157868i
\(469\) 10.5524 17.3748i 0.487265 0.802293i
\(470\) 0.353988 0.204375i 0.0163282 0.00942712i
\(471\) 22.5483 2.64417i 1.03897 0.121837i
\(472\) 4.92113 2.84121i 0.226513 0.130777i
\(473\) −17.1232 9.88606i −0.787324 0.454562i
\(474\) −5.45481 7.32129i −0.250548 0.336278i
\(475\) 42.1040 + 24.3088i 1.93187 + 1.11536i
\(476\) 5.03185 + 9.18021i 0.230634 + 0.420774i
\(477\) −16.8929 + 15.9618i −0.773471 + 0.730840i
\(478\) −2.13732 + 3.70195i −0.0977588 + 0.169323i
\(479\) 38.7622 1.77109 0.885545 0.464553i \(-0.153785\pi\)
0.885545 + 0.464553i \(0.153785\pi\)
\(480\) 6.03390 0.707578i 0.275408 0.0322964i
\(481\) 16.0993 34.5700i 0.734066 1.57626i
\(482\) 14.4768 0.659398
\(483\) −2.45159 + 5.35879i −0.111551 + 0.243833i
\(484\) −0.765044 1.32510i −0.0347747 0.0602316i
\(485\) 2.05538i 0.0933300i
\(486\) −13.9436 6.96969i −0.632494 0.316152i
\(487\) 9.97678 + 17.2803i 0.452091 + 0.783045i 0.998516 0.0544634i \(-0.0173448\pi\)
−0.546425 + 0.837508i \(0.684011\pi\)
\(488\) 10.9893 0.497463
\(489\) −20.0513 + 14.9395i −0.906752 + 0.675586i
\(490\) 21.7873 11.3205i 0.984250 0.511407i
\(491\) −4.36750 + 2.52158i −0.197103 + 0.113797i −0.595303 0.803501i \(-0.702968\pi\)
0.398201 + 0.917298i \(0.369635\pi\)
\(492\) 1.14672 + 9.77867i 0.0516980 + 0.440857i
\(493\) −22.5985 13.0472i −1.01778 0.587617i
\(494\) 10.1334 21.7595i 0.455924 0.979004i
\(495\) −8.61740 36.2373i −0.387323 1.62875i
\(496\) 8.14013 4.69971i 0.365503 0.211023i
\(497\) −21.9221 + 12.0159i −0.983339 + 0.538987i
\(498\) 3.49309 0.409625i 0.156529 0.0183557i
\(499\) −18.5321 32.0985i −0.829609 1.43693i −0.898345 0.439290i \(-0.855230\pi\)
0.0687359 0.997635i \(-0.478103\pi\)
\(500\) 4.03870 + 6.99523i 0.180616 + 0.312836i
\(501\) 28.1418 + 12.1265i 1.25728 + 0.541774i
\(502\) 0.255078 0.147269i 0.0113847 0.00657296i
\(503\) −12.8063 + 22.1812i −0.571005 + 0.989010i 0.425458 + 0.904978i \(0.360113\pi\)
−0.996463 + 0.0840317i \(0.973220\pi\)
\(504\) −5.88881 + 5.32183i −0.262309 + 0.237053i
\(505\) −6.88173 11.9195i −0.306233 0.530411i
\(506\) 3.94213 2.27599i 0.175249 0.101180i
\(507\) −15.4294 + 16.3992i −0.685242 + 0.728316i
\(508\) −1.68665 + 2.92136i −0.0748328 + 0.129614i
\(509\) −4.97268 + 8.61293i −0.220410 + 0.381762i −0.954933 0.296823i \(-0.904073\pi\)
0.734522 + 0.678584i \(0.237406\pi\)
\(510\) 9.51290 22.0764i 0.421238 0.977558i
\(511\) 10.0044 5.48363i 0.442571 0.242581i
\(512\) 1.00000i 0.0441942i
\(513\) 32.4928 11.8683i 1.43459 0.523996i
\(514\) −9.69842 + 5.59938i −0.427779 + 0.246978i
\(515\) 35.3725 + 20.4223i 1.55870 + 0.899914i
\(516\) 7.75810 5.78026i 0.341531 0.254462i
\(517\) 0.357242 0.206254i 0.0157115 0.00907103i
\(518\) 0.621205 27.9765i 0.0272942 1.22922i
\(519\) 7.93165 5.90956i 0.348161 0.259401i
\(520\) 10.3559 7.25896i 0.454136 0.318327i
\(521\) −7.83412 + 13.5691i −0.343219 + 0.594473i −0.985029 0.172391i \(-0.944851\pi\)
0.641810 + 0.766864i \(0.278184\pi\)
\(522\) 5.65985 18.9575i 0.247725 0.829746i
\(523\) −32.1956 18.5881i −1.40781 0.812802i −0.412638 0.910895i \(-0.635392\pi\)
−0.995177 + 0.0980929i \(0.968726\pi\)
\(524\) 3.63596 6.29766i 0.158837 0.275115i
\(525\) −30.4324 13.9225i −1.32818 0.607629i
\(526\) −2.08093 + 3.60427i −0.0907327 + 0.157154i
\(527\) 37.1919i 1.62011i
\(528\) 6.08936 0.714083i 0.265006 0.0310765i
\(529\) −10.6732 18.4865i −0.464051 0.803760i
\(530\) 13.5865 23.5325i 0.590160 1.02219i
\(531\) 16.5848 3.94394i 0.719718 0.171152i
\(532\) 0.391006 17.6093i 0.0169523 0.763460i
\(533\) 11.7640 + 16.7830i 0.509557 + 0.726953i
\(534\) −0.243047 + 0.564033i −0.0105177 + 0.0244081i
\(535\) 25.3564i 1.09625i
\(536\) 7.68334i 0.331870i
\(537\) 15.8411 + 21.2615i 0.683596 + 0.917503i
\(538\) 24.2715i 1.04642i
\(539\) 21.9876 11.4245i 0.947073 0.492090i
\(540\) 17.9524 + 3.14447i 0.772549 + 0.135316i
\(541\) 2.98669 + 5.17310i 0.128408 + 0.222409i 0.923060 0.384656i \(-0.125680\pi\)
−0.794652 + 0.607065i \(0.792347\pi\)
\(542\) −6.19435 10.7289i −0.266070 0.460847i
\(543\) 17.0583 + 22.8952i 0.732043 + 0.982527i
\(544\) 3.42672 + 1.97842i 0.146919 + 0.0848240i
\(545\) −16.9822 −0.727437
\(546\) −5.53038 + 15.5697i −0.236678 + 0.666321i
\(547\) 3.17249 0.135646 0.0678230 0.997697i \(-0.478395\pi\)
0.0678230 + 0.997697i \(0.478395\pi\)
\(548\) −6.43264 3.71389i −0.274789 0.158649i
\(549\) 31.5901 + 9.43139i 1.34823 + 0.402522i
\(550\) 12.9253 + 22.3873i 0.551136 + 0.954596i
\(551\) 21.9518 + 38.0216i 0.935178 + 1.61978i
\(552\) 0.259415 + 2.21217i 0.0110414 + 0.0941561i
\(553\) −13.9428 0.309593i −0.592909 0.0131652i
\(554\) 10.2959i 0.437430i
\(555\) −51.5269 + 38.3907i −2.18719 + 1.62959i
\(556\) 4.10422i 0.174058i
\(557\) 9.32521i 0.395122i 0.980291 + 0.197561i \(0.0633020\pi\)
−0.980291 + 0.197561i \(0.936698\pi\)
\(558\) 27.4332 6.52375i 1.16134 0.276172i
\(559\) 8.50222 18.2568i 0.359606 0.772180i
\(560\) 4.81731 7.93181i 0.203568 0.335180i
\(561\) 9.60034 22.2793i 0.405327 0.940633i
\(562\) 3.10802 5.38325i 0.131104 0.227079i
\(563\) 11.2254 + 19.4430i 0.473094 + 0.819423i 0.999526 0.0307944i \(-0.00980372\pi\)
−0.526432 + 0.850217i \(0.676470\pi\)
\(564\) 0.0235086 + 0.200470i 0.000989889 + 0.00844131i
\(565\) 70.5340i 2.96739i
\(566\) −6.72035 + 11.6400i −0.282478 + 0.489265i
\(567\) −21.4955 + 10.2443i −0.902725 + 0.430219i
\(568\) −4.72440 + 8.18290i −0.198231 + 0.343347i
\(569\) 20.5990 + 11.8928i 0.863554 + 0.498573i 0.865201 0.501425i \(-0.167191\pi\)
−0.00164667 + 0.999999i \(0.500524\pi\)
\(570\) −32.4326 + 24.1643i −1.35845 + 1.01213i
\(571\) 14.7275 25.5087i 0.616326 1.06751i −0.373825 0.927499i \(-0.621954\pi\)
0.990150 0.140008i \(-0.0447128\pi\)
\(572\) 10.4511 7.32569i 0.436982 0.306302i
\(573\) 8.27316 + 11.1040i 0.345616 + 0.463876i
\(574\) 12.8545 + 7.80704i 0.536535 + 0.325860i
\(575\) −8.13293 + 4.69555i −0.339167 + 0.195818i
\(576\) −0.858232 + 2.87462i −0.0357597 + 0.119776i
\(577\) 26.6927 + 15.4110i 1.11123 + 0.641570i 0.939148 0.343513i \(-0.111617\pi\)
0.172083 + 0.985082i \(0.444950\pi\)
\(578\) −1.16347 + 0.671728i −0.0483939 + 0.0279402i
\(579\) 22.1784 16.5243i 0.921705 0.686727i
\(580\) 23.1315i 0.960482i
\(581\) 2.78879 4.59181i 0.115699 0.190500i
\(582\) −0.932106 0.401653i −0.0386371 0.0166490i
\(583\) 13.7114 23.7488i 0.567868 0.983577i
\(584\) 2.15605 3.73438i 0.0892178 0.154530i
\(585\) 35.9992 11.9790i 1.48838 0.495270i
\(586\) −11.0218 + 6.36341i −0.455304 + 0.262870i
\(587\) 8.17657 + 14.1622i 0.337483 + 0.584538i 0.983959 0.178397i \(-0.0570911\pi\)
−0.646476 + 0.762935i \(0.723758\pi\)
\(588\) 0.876218 + 12.0927i 0.0361346 + 0.498693i
\(589\) −31.2875 + 54.1915i −1.28918 + 2.23292i
\(590\) −17.2611 + 9.96568i −0.710627 + 0.410281i
\(591\) 18.3283 42.5341i 0.753926 1.74962i
\(592\) −5.28837 9.15972i −0.217350 0.376462i
\(593\) −16.4539 28.4990i −0.675681 1.17031i −0.976269 0.216560i \(-0.930516\pi\)
0.300588 0.953754i \(-0.402817\pi\)
\(594\) 18.1175 + 3.17337i 0.743368 + 0.130205i
\(595\) −17.6494 32.2000i −0.723556 1.32007i
\(596\) −2.21093 + 1.27648i −0.0905631 + 0.0522866i
\(597\) 1.49007 3.45796i 0.0609844 0.141525i
\(598\) 2.66131 + 3.79672i 0.108829 + 0.155259i
\(599\) 6.08634 + 3.51395i 0.248681 + 0.143576i 0.619160 0.785265i \(-0.287473\pi\)
−0.370479 + 0.928841i \(0.620807\pi\)
\(600\) −12.5628 + 1.47321i −0.512876 + 0.0601435i
\(601\) −5.83732 + 3.37018i −0.238109 + 0.137473i −0.614307 0.789067i \(-0.710565\pi\)
0.376198 + 0.926539i \(0.377231\pi\)
\(602\) 0.328065 14.7747i 0.0133709 0.602171i
\(603\) 6.59409 22.0867i 0.268532 0.899439i
\(604\) 9.79474 0.398542
\(605\) 2.68343 + 4.64783i 0.109097 + 0.188961i
\(606\) 6.75024 0.791582i 0.274210 0.0321558i
\(607\) 4.54393i 0.184432i 0.995739 + 0.0922162i \(0.0293951\pi\)
−0.995739 + 0.0922162i \(0.970605\pi\)
\(608\) −3.32866 5.76542i −0.134995 0.233818i
\(609\) −17.5135 24.6290i −0.709684 0.998019i
\(610\) −38.5455 −1.56066
\(611\) 0.241172 + 0.344064i 0.00975676 + 0.0139193i
\(612\) 8.15257 + 8.62812i 0.329548 + 0.348771i
\(613\) 8.90889 0.359827 0.179913 0.983682i \(-0.442418\pi\)
0.179913 + 0.983682i \(0.442418\pi\)
\(614\) −12.9469 + 22.4247i −0.522494 + 0.904986i
\(615\) −4.02216 34.2991i −0.162189 1.38307i
\(616\) 4.86159 8.00472i 0.195879 0.322519i
\(617\) −12.9991 7.50505i −0.523325 0.302142i 0.214969 0.976621i \(-0.431035\pi\)
−0.738294 + 0.674479i \(0.764368\pi\)
\(618\) −16.1738 + 12.0504i −0.650604 + 0.484740i
\(619\) −7.24862 4.18499i −0.291347 0.168209i 0.347202 0.937790i \(-0.387132\pi\)
−0.638549 + 0.769581i \(0.720465\pi\)
\(620\) −28.5519 + 16.4844i −1.14667 + 0.662031i
\(621\) −1.15284 + 6.58178i −0.0462617 + 0.264118i
\(622\) 4.24415 2.45036i 0.170175 0.0982505i
\(623\) 0.450928 + 0.822683i 0.0180661 + 0.0329601i
\(624\) 1.26821 + 6.11487i 0.0507689 + 0.244791i
\(625\) 4.09126 + 7.08626i 0.163650 + 0.283450i
\(626\) 21.0186 0.840073
\(627\) −32.7308 + 24.3864i −1.30714 + 0.973900i
\(628\) 13.1075i 0.523045i
\(629\) −41.8504 −1.66868
\(630\) 20.6553 18.6666i 0.822925 0.743693i
\(631\) 6.27126 10.8621i 0.249655 0.432415i −0.713775 0.700375i \(-0.753016\pi\)
0.963430 + 0.267960i \(0.0863494\pi\)
\(632\) −4.56498 + 2.63559i −0.181585 + 0.104838i
\(633\) 8.39834 + 3.61892i 0.333804 + 0.143839i
\(634\) 14.9318 0.593019
\(635\) 5.91598 10.2468i 0.234769 0.406631i
\(636\) 8.01689 + 10.7600i 0.317890 + 0.426663i
\(637\) 13.5551 + 21.2899i 0.537071 + 0.843537i
\(638\) 23.3441i 0.924202i
\(639\) −20.6037 + 19.4681i −0.815069 + 0.770146i
\(640\) 3.50754i 0.138648i
\(641\) −0.920157 + 0.531253i −0.0363440 + 0.0209832i −0.518062 0.855343i \(-0.673346\pi\)
0.481718 + 0.876326i \(0.340013\pi\)
\(642\) −11.4990 4.95502i −0.453830 0.195559i
\(643\) −19.3910 11.1954i −0.764708 0.441504i 0.0662756 0.997801i \(-0.478888\pi\)
−0.830983 + 0.556297i \(0.812222\pi\)
\(644\) 2.90799 + 1.76614i 0.114591 + 0.0695956i
\(645\) −27.2119 + 20.2745i −1.07147 + 0.798308i
\(646\) −26.3419 −1.03641
\(647\) 8.38696 0.329725 0.164863 0.986317i \(-0.447282\pi\)
0.164863 + 0.986317i \(0.447282\pi\)
\(648\) −4.93418 + 7.52687i −0.193833 + 0.295684i
\(649\) −17.4197 + 10.0573i −0.683784 + 0.394783i
\(650\) −21.5614 + 15.1135i −0.845710 + 0.592800i
\(651\) 17.9195 39.1691i 0.702321 1.53516i
\(652\) 7.21828 + 12.5024i 0.282690 + 0.489633i
\(653\) −4.17251 2.40900i −0.163283 0.0942715i 0.416132 0.909304i \(-0.363386\pi\)
−0.579415 + 0.815033i \(0.696719\pi\)
\(654\) 3.31858 7.70135i 0.129767 0.301147i
\(655\) −12.7533 + 22.0893i −0.498312 + 0.863101i
\(656\) 5.68441 0.221939
\(657\) 9.40278 8.88454i 0.366837 0.346619i
\(658\) 0.263526 + 0.160050i 0.0102733 + 0.00623941i
\(659\) −35.0181 20.2177i −1.36411 0.787570i −0.373943 0.927452i \(-0.621995\pi\)
−0.990168 + 0.139881i \(0.955328\pi\)
\(660\) −21.3587 + 2.50468i −0.831387 + 0.0974944i
\(661\) 32.1486i 1.25044i 0.780450 + 0.625219i \(0.214990\pi\)
−0.780450 + 0.625219i \(0.785010\pi\)
\(662\) −0.887547 0.512426i −0.0344955 0.0199160i
\(663\) 23.4630 + 7.75198i 0.911227 + 0.301062i
\(664\) 2.03056i 0.0788009i
\(665\) −1.37147 + 61.7654i −0.0531833 + 2.39516i
\(666\) −7.34087 30.8693i −0.284453 1.19616i
\(667\) −8.48054 −0.328368
\(668\) 8.84596 15.3217i 0.342261 0.592813i
\(669\) −7.28983 + 16.9173i −0.281841 + 0.654062i
\(670\) 26.9497i 1.04116i
\(671\) −38.8998 −1.50171
\(672\) 2.65567 + 3.73463i 0.102445 + 0.144066i
\(673\) −11.9937 20.7737i −0.462323 0.800766i 0.536754 0.843739i \(-0.319650\pi\)
−0.999076 + 0.0429727i \(0.986317\pi\)
\(674\) −17.3679 10.0274i −0.668988 0.386240i
\(675\) −37.3778 6.54692i −1.43867 0.251991i
\(676\) 8.36615 + 9.95026i 0.321775 + 0.382702i
\(677\) 23.8364 + 41.2858i 0.916107 + 1.58674i 0.805272 + 0.592905i \(0.202019\pi\)
0.110835 + 0.993839i \(0.464648\pi\)
\(678\) 31.9869 + 13.7834i 1.22845 + 0.529349i
\(679\) −1.35955 + 0.745193i −0.0521746 + 0.0285979i
\(680\) −12.0194 6.93939i −0.460922 0.266113i
\(681\) −3.10340 1.33728i −0.118923 0.0512448i
\(682\) −28.8143 + 16.6360i −1.10336 + 0.637024i
\(683\) −16.2285 + 9.36954i −0.620967 + 0.358516i −0.777246 0.629197i \(-0.783384\pi\)
0.156278 + 0.987713i \(0.450050\pi\)
\(684\) −4.62058 19.4301i −0.176672 0.742930i
\(685\) 22.5628 + 13.0266i 0.862079 + 0.497722i
\(686\) 15.3872 + 10.3070i 0.587485 + 0.393525i
\(687\) 7.99511 18.5541i 0.305033 0.707882i
\(688\) −2.79284 4.83734i −0.106476 0.184422i
\(689\) 25.3211 + 11.7921i 0.964658 + 0.449243i
\(690\) −0.909909 7.75928i −0.0346396 0.295391i
\(691\) 23.5469 + 13.5948i 0.895765 + 0.517170i 0.875824 0.482631i \(-0.160319\pi\)
0.0199411 + 0.999801i \(0.493652\pi\)
\(692\) −2.85532 4.94555i −0.108543 0.188002i
\(693\) 20.8451 18.8381i 0.791841 0.715602i
\(694\) −24.9526 −0.947187
\(695\) 14.3957i 0.546061i
\(696\) −10.4900 4.52024i −0.397623 0.171339i
\(697\) 11.2461 19.4789i 0.425977 0.737815i
\(698\) −8.29031 −0.313793
\(699\) −9.22298 + 21.4036i −0.348845 + 0.809557i
\(700\) −10.0299 + 16.5144i −0.379093 + 0.624185i
\(701\) 32.5254i 1.22847i 0.789124 + 0.614233i \(0.210535\pi\)
−0.789124 + 0.614233i \(0.789465\pi\)
\(702\) −1.60237 + 18.6663i −0.0604774 + 0.704516i
\(703\) 60.9792 + 35.2064i 2.29988 + 1.32783i
\(704\) 3.53979i 0.133411i
\(705\) −0.0824573 0.703157i −0.00310552 0.0264824i
\(706\) 29.9971 + 17.3189i 1.12896 + 0.651804i
\(707\) 5.38922 8.87347i 0.202683 0.333721i
\(708\) −1.14632 9.77527i −0.0430813 0.367377i
\(709\) −22.9336 −0.861291 −0.430645 0.902521i \(-0.641714\pi\)
−0.430645 + 0.902521i \(0.641714\pi\)
\(710\) 16.5710 28.7019i 0.621900 1.07716i
\(711\) −15.3845 + 3.65851i −0.576965 + 0.137205i
\(712\) 0.307085 + 0.177296i 0.0115085 + 0.00664443i
\(713\) −6.04358 10.4678i −0.226334 0.392022i
\(714\) 18.0515 1.71157i 0.675562 0.0640539i
\(715\) −36.6577 + 25.6952i −1.37092 + 0.960945i
\(716\) 13.2570 7.65395i 0.495438 0.286041i
\(717\) 4.42355 + 5.93717i 0.165201 + 0.221727i
\(718\) −5.94606 −0.221905
\(719\) −0.733573 −0.0273577 −0.0136788 0.999906i \(-0.504354\pi\)
−0.0136788 + 0.999906i \(0.504354\pi\)
\(720\) 3.01029 10.0829i 0.112187 0.375766i
\(721\) −0.683935 + 30.8016i −0.0254711 + 1.14711i
\(722\) 21.9278 + 12.6600i 0.816067 + 0.471157i
\(723\) 9.92278 23.0276i 0.369032 0.856404i
\(724\) 14.2756 8.24205i 0.530550 0.306313i
\(725\) 48.1608i 1.78865i
\(726\) −2.63215 + 0.308665i −0.0976884 + 0.0114556i
\(727\) 45.5164i 1.68811i 0.536258 + 0.844054i \(0.319837\pi\)
−0.536258 + 0.844054i \(0.680163\pi\)
\(728\) 8.55610 + 4.21820i 0.317110 + 0.156337i
\(729\) −20.6437 + 17.4022i −0.764582 + 0.644527i
\(730\) −7.56243 + 13.0985i −0.279898 + 0.484798i
\(731\) −22.1016 −0.817458
\(732\) 7.53238 17.4802i 0.278405 0.646088i
\(733\) 22.4581 12.9662i 0.829508 0.478917i −0.0241759 0.999708i \(-0.507696\pi\)
0.853684 + 0.520791i \(0.174363\pi\)
\(734\) 11.7690 20.3845i 0.434401 0.752405i
\(735\) −3.07337 42.4155i −0.113363 1.56452i
\(736\) 1.28595 0.0474007
\(737\) 27.1974i 1.00183i
\(738\) 16.3405 + 4.87854i 0.601502 + 0.179582i
\(739\) −29.4441 −1.08312 −0.541559 0.840663i \(-0.682166\pi\)
−0.541559 + 0.840663i \(0.682166\pi\)
\(740\) 18.5492 + 32.1281i 0.681881 + 1.18105i
\(741\) −27.6661 31.0333i −1.01634 1.14004i
\(742\) 20.4916 + 0.455007i 0.752272 + 0.0167038i
\(743\) 23.1459 13.3633i 0.849140 0.490251i −0.0112203 0.999937i \(-0.503572\pi\)
0.860361 + 0.509686i \(0.170238\pi\)
\(744\) −1.89615 16.1695i −0.0695161 0.592801i
\(745\) 7.75493 4.47731i 0.284118 0.164036i
\(746\) −1.31100 0.756908i −0.0479992 0.0277124i
\(747\) 1.74269 5.83708i 0.0637616 0.213567i
\(748\) −12.1299 7.00318i −0.443511 0.256061i
\(749\) −16.7722 + 9.19313i −0.612841 + 0.335910i
\(750\) 13.8952 1.62946i 0.507382 0.0594993i
\(751\) −13.5765 + 23.5152i −0.495413 + 0.858081i −0.999986 0.00528812i \(-0.998317\pi\)
0.504573 + 0.863369i \(0.331650\pi\)
\(752\) 0.116535 0.00424958
\(753\) −0.0594174 0.506684i −0.00216529 0.0184646i
\(754\) −23.6863 + 2.08416i −0.862604 + 0.0759006i
\(755\) −34.3555 −1.25032
\(756\) 4.42885 + 13.0148i 0.161076 + 0.473344i
\(757\) 9.16804 + 15.8795i 0.333218 + 0.577151i 0.983141 0.182849i \(-0.0585321\pi\)
−0.649923 + 0.760000i \(0.725199\pi\)
\(758\) 25.8858i 0.940214i
\(759\) −0.918273 7.83060i −0.0333312 0.284233i
\(760\) 11.6754 + 20.2224i 0.423513 + 0.733545i
\(761\) −49.3861 −1.79024 −0.895122 0.445821i \(-0.852912\pi\)
−0.895122 + 0.445821i \(0.852912\pi\)
\(762\) 3.49080 + 4.68525i 0.126458 + 0.169729i
\(763\) −6.15701 11.2330i −0.222899 0.406661i
\(764\) 6.92358 3.99733i 0.250486 0.144618i
\(765\) −28.5955 30.2635i −1.03387 1.09418i
\(766\) 8.33387 + 4.81156i 0.301115 + 0.173849i
\(767\) −11.7599 16.7772i −0.424627 0.605788i
\(768\) 1.59066 + 0.685428i 0.0573979 + 0.0247332i
\(769\) −0.485650 + 0.280390i −0.0175130 + 0.0101111i −0.508731 0.860926i \(-0.669885\pi\)
0.491218 + 0.871037i \(0.336552\pi\)
\(770\) −17.0522 + 28.0769i −0.614520 + 1.01182i
\(771\) 2.25913 + 19.2648i 0.0813607 + 0.693806i
\(772\) −7.98403 13.8287i −0.287351 0.497707i
\(773\) −15.6030 27.0252i −0.561202 0.972030i −0.997392 0.0721757i \(-0.977006\pi\)
0.436190 0.899855i \(-0.356328\pi\)
\(774\) −3.87679 16.3024i −0.139348 0.585979i
\(775\) 59.4463 34.3213i 2.13537 1.23286i
\(776\) −0.292994 +