Properties

Label 546.2.bw.a.527.24
Level $546$
Weight $2$
Character 546.527
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.bw (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(152\)
Relative dimension: \(38\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 527.24
Character \(\chi\) \(=\) 546.527
Dual form 546.2.bw.a.431.24

$q$-expansion

\(f(q)\) \(=\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.23685 + 1.21251i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.473766 - 1.76812i) q^{5} +(-1.50853 + 0.851078i) q^{6} +(-0.491196 - 2.59976i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.0596151 - 2.99941i) q^{9} +O(q^{10})\) \(q+(0.965926 + 0.258819i) q^{2} +(-1.23685 + 1.21251i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-0.473766 - 1.76812i) q^{5} +(-1.50853 + 0.851078i) q^{6} +(-0.491196 - 2.59976i) q^{7} +(0.707107 + 0.707107i) q^{8} +(0.0596151 - 2.99941i) q^{9} -1.83049i q^{10} +(-2.98053 - 2.98053i) q^{11} +(-1.67740 + 0.431642i) q^{12} +(-3.58546 - 0.380134i) q^{13} +(0.198407 - 2.63830i) q^{14} +(2.72985 + 1.61246i) q^{15} +(0.500000 + 0.866025i) q^{16} +(0.234854 - 0.406780i) q^{17} +(0.833888 - 2.88178i) q^{18} +(0.932900 + 0.932900i) q^{19} +(0.473766 - 1.76812i) q^{20} +(3.75978 + 2.61993i) q^{21} +(-2.10755 - 3.65038i) q^{22} +(-4.27741 - 7.40870i) q^{23} +(-1.73197 - 0.0172103i) q^{24} +(1.42833 - 0.824649i) q^{25} +(-3.36490 - 1.29517i) q^{26} +(3.56309 + 3.78211i) q^{27} +(0.874489 - 2.49705i) q^{28} +(2.99435 + 1.72879i) q^{29} +(2.21950 + 2.26405i) q^{30} +(-1.05972 + 3.95493i) q^{31} +(0.258819 + 0.965926i) q^{32} +(7.30041 + 0.0725430i) q^{33} +(0.332134 - 0.332134i) q^{34} +(-4.36397 + 2.10017i) q^{35} +(1.55133 - 2.56776i) q^{36} +(6.47637 + 1.73534i) q^{37} +(0.659660 + 1.14256i) q^{38} +(4.89560 - 3.87725i) q^{39} +(0.915246 - 1.58525i) q^{40} +(-0.956974 - 3.57148i) q^{41} +(2.95358 + 3.50376i) q^{42} +(10.0899 - 5.82539i) q^{43} +(-1.09095 - 4.07148i) q^{44} +(-5.33156 + 1.31561i) q^{45} +(-2.21415 - 8.26333i) q^{46} +(-9.41494 + 2.52273i) q^{47} +(-1.66850 - 0.464889i) q^{48} +(-6.51745 + 2.55398i) q^{49} +(1.59310 - 0.426870i) q^{50} +(0.202746 + 0.787892i) q^{51} +(-2.91503 - 2.12193i) q^{52} +(2.77495 - 1.60212i) q^{53} +(2.46280 + 4.57544i) q^{54} +(-3.85785 + 6.68200i) q^{55} +(1.49098 - 2.18563i) q^{56} +(-2.28502 - 0.0227058i) q^{57} +(2.44487 + 2.44487i) q^{58} +(-7.93039 + 2.12494i) q^{59} +(1.55789 + 2.76135i) q^{60} +10.8980 q^{61} +(-2.04722 + 3.54590i) q^{62} +(-7.82701 + 1.31831i) q^{63} +1.00000i q^{64} +(1.02655 + 6.51961i) q^{65} +(7.03288 + 1.95956i) q^{66} +(-0.303501 - 0.303501i) q^{67} +(0.406780 - 0.234854i) q^{68} +(14.2737 + 3.97705i) q^{69} +(-4.75883 + 0.899131i) q^{70} +(-7.08791 - 1.89920i) q^{71} +(2.16306 - 2.07875i) q^{72} +(-5.97838 - 1.60190i) q^{73} +(5.80655 + 3.35242i) q^{74} +(-0.766741 + 2.75185i) q^{75} +(0.341465 + 1.27436i) q^{76} +(-6.28462 + 9.21266i) q^{77} +(5.73230 - 2.47806i) q^{78} +(-6.79835 + 11.7751i) q^{79} +(1.29435 - 1.29435i) q^{80} +(-8.99289 - 0.357620i) q^{81} -3.69746i q^{82} +(2.80080 - 2.80080i) q^{83} +(1.94610 + 4.14882i) q^{84} +(-0.830501 - 0.222532i) q^{85} +(11.2538 - 3.01545i) q^{86} +(-5.79975 + 1.49243i) q^{87} -4.21510i q^{88} +(1.52115 - 5.67702i) q^{89} +(-5.49039 - 0.109125i) q^{90} +(0.772908 + 9.50803i) q^{91} -8.55483i q^{92} +(-3.48470 - 6.17660i) q^{93} -9.74707 q^{94} +(1.20750 - 2.09145i) q^{95} +(-1.49132 - 0.880887i) q^{96} +(0.697569 - 2.60336i) q^{97} +(-6.95639 + 0.780115i) q^{98} +(-9.11750 + 8.76213i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 12q^{7} + O(q^{10}) \) \( 152q + 12q^{7} + 76q^{16} - 8q^{18} + 12q^{19} + 8q^{21} + 24q^{27} + 16q^{28} - 12q^{31} - 48q^{33} + 24q^{36} - 36q^{37} - 8q^{39} + 84q^{43} - 40q^{45} - 16q^{46} - 28q^{49} + 4q^{52} + 24q^{54} + 16q^{55} - 8q^{57} - 16q^{58} + 64q^{61} - 100q^{63} + 16q^{66} - 112q^{67} + 84q^{69} + 16q^{72} - 120q^{73} - 48q^{76} - 8q^{78} + 32q^{79} + 48q^{81} - 8q^{84} - 152q^{85} + 48q^{87} + 16q^{91} - 12q^{93} - 64q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(-1\) \(e\left(\frac{11}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 + 0.258819i 0.683013 + 0.183013i
\(3\) −1.23685 + 1.21251i −0.714098 + 0.700046i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −0.473766 1.76812i −0.211875 0.790727i −0.987243 0.159218i \(-0.949103\pi\)
0.775369 0.631509i \(-0.217564\pi\)
\(6\) −1.50853 + 0.851078i −0.615855 + 0.347451i
\(7\) −0.491196 2.59976i −0.185655 0.982615i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) 0.0596151 2.99941i 0.0198717 0.999803i
\(10\) 1.83049i 0.578852i
\(11\) −2.98053 2.98053i −0.898663 0.898663i 0.0966553 0.995318i \(-0.469186\pi\)
−0.995318 + 0.0966553i \(0.969186\pi\)
\(12\) −1.67740 + 0.431642i −0.484225 + 0.124604i
\(13\) −3.58546 0.380134i −0.994427 0.105430i
\(14\) 0.198407 2.63830i 0.0530265 0.705116i
\(15\) 2.72985 + 1.61246i 0.704845 + 0.416335i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 0.234854 0.406780i 0.0569606 0.0986586i −0.836139 0.548518i \(-0.815192\pi\)
0.893100 + 0.449859i \(0.148526\pi\)
\(18\) 0.833888 2.88178i 0.196549 0.679241i
\(19\) 0.932900 + 0.932900i 0.214022 + 0.214022i 0.805973 0.591952i \(-0.201642\pi\)
−0.591952 + 0.805973i \(0.701642\pi\)
\(20\) 0.473766 1.76812i 0.105937 0.395364i
\(21\) 3.75978 + 2.61993i 0.820451 + 0.571717i
\(22\) −2.10755 3.65038i −0.449331 0.778265i
\(23\) −4.27741 7.40870i −0.891902 1.54482i −0.837592 0.546296i \(-0.816037\pi\)
−0.0543100 0.998524i \(-0.517296\pi\)
\(24\) −1.73197 0.0172103i −0.353536 0.00351303i
\(25\) 1.42833 0.824649i 0.285667 0.164930i
\(26\) −3.36490 1.29517i −0.659911 0.254003i
\(27\) 3.56309 + 3.78211i 0.685717 + 0.727868i
\(28\) 0.874489 2.49705i 0.165263 0.471898i
\(29\) 2.99435 + 1.72879i 0.556036 + 0.321028i 0.751553 0.659673i \(-0.229305\pi\)
−0.195517 + 0.980700i \(0.562638\pi\)
\(30\) 2.21950 + 2.26405i 0.405223 + 0.413357i
\(31\) −1.05972 + 3.95493i −0.190332 + 0.710327i 0.803094 + 0.595852i \(0.203185\pi\)
−0.993426 + 0.114475i \(0.963481\pi\)
\(32\) 0.258819 + 0.965926i 0.0457532 + 0.170753i
\(33\) 7.30041 + 0.0725430i 1.27084 + 0.0126281i
\(34\) 0.332134 0.332134i 0.0569606 0.0569606i
\(35\) −4.36397 + 2.10017i −0.737645 + 0.354994i
\(36\) 1.55133 2.56776i 0.258555 0.427959i
\(37\) 6.47637 + 1.73534i 1.06471 + 0.285288i 0.748317 0.663341i \(-0.230862\pi\)
0.316391 + 0.948629i \(0.397529\pi\)
\(38\) 0.659660 + 1.14256i 0.107011 + 0.185348i
\(39\) 4.89560 3.87725i 0.783924 0.620857i
\(40\) 0.915246 1.58525i 0.144713 0.250650i
\(41\) −0.956974 3.57148i −0.149454 0.557771i −0.999517 0.0310888i \(-0.990103\pi\)
0.850062 0.526682i \(-0.176564\pi\)
\(42\) 2.95358 + 3.50376i 0.455747 + 0.540643i
\(43\) 10.0899 5.82539i 1.53869 0.888364i 0.539776 0.841808i \(-0.318509\pi\)
0.998916 0.0465558i \(-0.0148245\pi\)
\(44\) −1.09095 4.07148i −0.164467 0.613798i
\(45\) −5.33156 + 1.31561i −0.794781 + 0.196120i
\(46\) −2.21415 8.26333i −0.326459 1.21836i
\(47\) −9.41494 + 2.52273i −1.37331 + 0.367977i −0.868687 0.495362i \(-0.835035\pi\)
−0.504624 + 0.863339i \(0.668369\pi\)
\(48\) −1.66850 0.464889i −0.240827 0.0671010i
\(49\) −6.51745 + 2.55398i −0.931065 + 0.364854i
\(50\) 1.59310 0.426870i 0.225298 0.0603685i
\(51\) 0.202746 + 0.787892i 0.0283901 + 0.110327i
\(52\) −2.91503 2.12193i −0.404242 0.294259i
\(53\) 2.77495 1.60212i 0.381168 0.220068i −0.297158 0.954828i \(-0.596039\pi\)
0.678327 + 0.734761i \(0.262705\pi\)
\(54\) 2.46280 + 4.57544i 0.335144 + 0.622638i
\(55\) −3.85785 + 6.68200i −0.520193 + 0.901001i
\(56\) 1.49098 2.18563i 0.199240 0.292067i
\(57\) −2.28502 0.0227058i −0.302658 0.00300746i
\(58\) 2.44487 + 2.44487i 0.321028 + 0.321028i
\(59\) −7.93039 + 2.12494i −1.03245 + 0.276644i −0.734981 0.678088i \(-0.762809\pi\)
−0.297468 + 0.954732i \(0.596142\pi\)
\(60\) 1.55789 + 2.76135i 0.201123 + 0.356489i
\(61\) 10.8980 1.39535 0.697675 0.716414i \(-0.254218\pi\)
0.697675 + 0.716414i \(0.254218\pi\)
\(62\) −2.04722 + 3.54590i −0.259998 + 0.450329i
\(63\) −7.82701 + 1.31831i −0.986110 + 0.166092i
\(64\) 1.00000i 0.125000i
\(65\) 1.02655 + 6.51961i 0.127327 + 0.808658i
\(66\) 7.03288 + 1.95956i 0.865687 + 0.241205i
\(67\) −0.303501 0.303501i −0.0370786 0.0370786i 0.688324 0.725403i \(-0.258347\pi\)
−0.725403 + 0.688324i \(0.758347\pi\)
\(68\) 0.406780 0.234854i 0.0493293 0.0284803i
\(69\) 14.2737 + 3.97705i 1.71835 + 0.478780i
\(70\) −4.75883 + 0.899131i −0.568789 + 0.107467i
\(71\) −7.08791 1.89920i −0.841181 0.225394i −0.187595 0.982246i \(-0.560069\pi\)
−0.653585 + 0.756853i \(0.726736\pi\)
\(72\) 2.16306 2.07875i 0.254919 0.244983i
\(73\) −5.97838 1.60190i −0.699716 0.187488i −0.108613 0.994084i \(-0.534641\pi\)
−0.591103 + 0.806596i \(0.701307\pi\)
\(74\) 5.80655 + 3.35242i 0.674998 + 0.389710i
\(75\) −0.766741 + 2.75185i −0.0885357 + 0.317756i
\(76\) 0.341465 + 1.27436i 0.0391687 + 0.146180i
\(77\) −6.28462 + 9.21266i −0.716198 + 1.04988i
\(78\) 5.73230 2.47806i 0.649055 0.280585i
\(79\) −6.79835 + 11.7751i −0.764874 + 1.32480i 0.175440 + 0.984490i \(0.443865\pi\)
−0.940313 + 0.340310i \(0.889468\pi\)
\(80\) 1.29435 1.29435i 0.144713 0.144713i
\(81\) −8.99289 0.357620i −0.999210 0.0397356i
\(82\) 3.69746i 0.408317i
\(83\) 2.80080 2.80080i 0.307428 0.307428i −0.536483 0.843911i \(-0.680247\pi\)
0.843911 + 0.536483i \(0.180247\pi\)
\(84\) 1.94610 + 4.14882i 0.212337 + 0.452673i
\(85\) −0.830501 0.222532i −0.0900805 0.0241370i
\(86\) 11.2538 3.01545i 1.21353 0.325164i
\(87\) −5.79975 + 1.49243i −0.621798 + 0.160006i
\(88\) 4.21510i 0.449331i
\(89\) 1.52115 5.67702i 0.161242 0.601763i −0.837248 0.546824i \(-0.815837\pi\)
0.998490 0.0549394i \(-0.0174966\pi\)
\(90\) −5.49039 0.109125i −0.578738 0.0115028i
\(91\) 0.772908 + 9.50803i 0.0810228 + 0.996712i
\(92\) 8.55483i 0.891902i
\(93\) −3.48470 6.17660i −0.361346 0.640484i
\(94\) −9.74707 −1.00533
\(95\) 1.20750 2.09145i 0.123887 0.214579i
\(96\) −1.49132 0.880887i −0.152207 0.0899052i
\(97\) 0.697569 2.60336i 0.0708274 0.264331i −0.921427 0.388550i \(-0.872976\pi\)
0.992255 + 0.124219i \(0.0396426\pi\)
\(98\) −6.95639 + 0.780115i −0.702702 + 0.0788035i
\(99\) −9.11750 + 8.76213i −0.916343 + 0.880627i
\(100\) 1.64930 0.164930
\(101\) 13.2038 1.31383 0.656914 0.753966i \(-0.271862\pi\)
0.656914 + 0.753966i \(0.271862\pi\)
\(102\) −0.00808381 + 0.813519i −0.000800417 + 0.0805504i
\(103\) −4.44902 2.56865i −0.438375 0.253096i 0.264533 0.964377i \(-0.414782\pi\)
−0.702908 + 0.711281i \(0.748116\pi\)
\(104\) −2.26651 2.80410i −0.222249 0.274964i
\(105\) 2.85110 7.88898i 0.278239 0.769885i
\(106\) 3.09505 0.829317i 0.300618 0.0805504i
\(107\) 5.62240 3.24610i 0.543538 0.313812i −0.202973 0.979184i \(-0.565061\pi\)
0.746512 + 0.665372i \(0.231727\pi\)
\(108\) 1.19467 + 5.05695i 0.114957 + 0.486605i
\(109\) −2.58830 + 9.65967i −0.247914 + 0.925229i 0.723982 + 0.689819i \(0.242310\pi\)
−0.971896 + 0.235410i \(0.924357\pi\)
\(110\) −5.45583 + 5.45583i −0.520193 + 0.520193i
\(111\) −10.1144 + 5.70633i −0.960021 + 0.541621i
\(112\) 2.00586 1.72527i 0.189536 0.163022i
\(113\) 14.6164 8.43876i 1.37499 0.793852i 0.383441 0.923565i \(-0.374739\pi\)
0.991552 + 0.129713i \(0.0414057\pi\)
\(114\) −2.20128 0.613338i −0.206169 0.0574443i
\(115\) −11.0730 + 11.0730i −1.03256 + 1.03256i
\(116\) 1.72879 + 2.99435i 0.160514 + 0.278018i
\(117\) −1.35392 + 10.7316i −0.125170 + 0.992135i
\(118\) −8.21014 −0.755805
\(119\) −1.17289 0.410755i −0.107518 0.0376539i
\(120\) 0.790117 + 3.07048i 0.0721275 + 0.280295i
\(121\) 6.76708i 0.615189i
\(122\) 10.5267 + 2.82062i 0.953042 + 0.255367i
\(123\) 5.51411 + 3.25705i 0.497190 + 0.293678i
\(124\) −2.89521 + 2.89521i −0.259998 + 0.259998i
\(125\) −8.60654 8.60654i −0.769793 0.769793i
\(126\) −7.90151 0.752386i −0.703923 0.0670278i
\(127\) 1.86064 + 1.07424i 0.165105 + 0.0953236i 0.580276 0.814420i \(-0.302945\pi\)
−0.415171 + 0.909744i \(0.636278\pi\)
\(128\) −0.258819 + 0.965926i −0.0228766 + 0.0853766i
\(129\) −5.41633 + 19.4393i −0.476881 + 1.71153i
\(130\) −0.695832 + 6.56315i −0.0610285 + 0.575626i
\(131\) 3.73471 + 2.15623i 0.326303 + 0.188391i 0.654199 0.756323i \(-0.273006\pi\)
−0.327896 + 0.944714i \(0.606339\pi\)
\(132\) 6.28607 + 3.71303i 0.547132 + 0.323178i
\(133\) 1.96707 2.88355i 0.170567 0.250035i
\(134\) −0.214608 0.371712i −0.0185393 0.0321110i
\(135\) 4.99916 8.09181i 0.430259 0.696432i
\(136\) 0.453704 0.121570i 0.0389048 0.0104245i
\(137\) −10.8780 + 2.91475i −0.929369 + 0.249024i −0.691585 0.722295i \(-0.743087\pi\)
−0.237783 + 0.971318i \(0.576421\pi\)
\(138\) 12.7580 + 7.53584i 1.08603 + 0.641493i
\(139\) −11.4474 19.8274i −0.970954 1.68174i −0.692688 0.721237i \(-0.743574\pi\)
−0.278266 0.960504i \(-0.589760\pi\)
\(140\) −4.82939 0.363182i −0.408158 0.0306945i
\(141\) 8.58607 14.5360i 0.723077 1.22415i
\(142\) −6.35485 3.66897i −0.533287 0.307893i
\(143\) 9.55355 + 11.8195i 0.798908 + 0.988400i
\(144\) 2.62737 1.44808i 0.218948 0.120673i
\(145\) 1.63808 6.11340i 0.136035 0.507691i
\(146\) −5.36006 3.09463i −0.443602 0.256114i
\(147\) 4.96440 11.0614i 0.409457 0.912330i
\(148\) 4.74103 + 4.74103i 0.389710 + 0.389710i
\(149\) −5.57469 + 5.57469i −0.456696 + 0.456696i −0.897569 0.440873i \(-0.854669\pi\)
0.440873 + 0.897569i \(0.354669\pi\)
\(150\) −1.45285 + 2.45963i −0.118624 + 0.200828i
\(151\) 9.60978 + 2.57493i 0.782033 + 0.209545i 0.627681 0.778471i \(-0.284004\pi\)
0.154352 + 0.988016i \(0.450671\pi\)
\(152\) 1.31932i 0.107011i
\(153\) −1.20610 0.728674i −0.0975072 0.0589098i
\(154\) −8.45488 + 7.27217i −0.681314 + 0.586008i
\(155\) 7.49486 0.602001
\(156\) 6.17834 0.909995i 0.494663 0.0728579i
\(157\) 5.91797 + 10.2502i 0.472305 + 0.818057i 0.999498 0.0316890i \(-0.0100886\pi\)
−0.527192 + 0.849746i \(0.676755\pi\)
\(158\) −9.61431 + 9.61431i −0.764874 + 0.764874i
\(159\) −1.48961 + 5.34625i −0.118134 + 0.423985i
\(160\) 1.58525 0.915246i 0.125325 0.0723566i
\(161\) −17.1597 + 14.7594i −1.35238 + 1.16320i
\(162\) −8.59391 2.67297i −0.675201 0.210008i
\(163\) 10.8440 10.8440i 0.849365 0.849365i −0.140688 0.990054i \(-0.544932\pi\)
0.990054 + 0.140688i \(0.0449316\pi\)
\(164\) 0.956974 3.57148i 0.0747271 0.278885i
\(165\) −3.33042 12.9424i −0.259273 1.00756i
\(166\) 3.43027 1.98047i 0.266241 0.153714i
\(167\) 19.4502 5.21167i 1.50510 0.403291i 0.590297 0.807186i \(-0.299011\pi\)
0.914805 + 0.403895i \(0.132344\pi\)
\(168\) 0.805993 + 4.51114i 0.0621837 + 0.348042i
\(169\) 12.7110 + 2.72591i 0.977769 + 0.209685i
\(170\) −0.744607 0.429899i −0.0571088 0.0329718i
\(171\) 2.85376 2.74253i 0.218233 0.209727i
\(172\) 11.6508 0.888364
\(173\) 20.1644 1.53307 0.766534 0.642204i \(-0.221980\pi\)
0.766534 + 0.642204i \(0.221980\pi\)
\(174\) −5.98840 0.0595057i −0.453979 0.00451112i
\(175\) −2.84548 3.30825i −0.215098 0.250081i
\(176\) 1.09095 4.07148i 0.0822333 0.306899i
\(177\) 7.23221 12.2440i 0.543606 0.920312i
\(178\) 2.93864 5.08988i 0.220261 0.381503i
\(179\) −5.50725 −0.411631 −0.205816 0.978591i \(-0.565985\pi\)
−0.205816 + 0.978591i \(0.565985\pi\)
\(180\) −5.27507 1.52642i −0.393180 0.113773i
\(181\) 16.1390i 1.19960i −0.800148 0.599802i \(-0.795246\pi\)
0.800148 0.599802i \(-0.204754\pi\)
\(182\) −1.71429 + 9.38409i −0.127071 + 0.695595i
\(183\) −13.4793 + 13.2140i −0.996417 + 0.976809i
\(184\) 2.21415 8.26333i 0.163229 0.609181i
\(185\) 12.2731i 0.902339i
\(186\) −1.76734 6.86805i −0.129587 0.503590i
\(187\) −1.91241 + 0.512428i −0.139849 + 0.0374725i
\(188\) −9.41494 2.52273i −0.686655 0.183989i
\(189\) 8.08239 11.1209i 0.587907 0.808928i
\(190\) 1.70767 1.70767i 0.123887 0.123887i
\(191\) 0.559082i 0.0404538i −0.999795 0.0202269i \(-0.993561\pi\)
0.999795 0.0202269i \(-0.00643885\pi\)
\(192\) −1.21251 1.23685i −0.0875057 0.0892622i
\(193\) 9.44038 9.44038i 0.679534 0.679534i −0.280361 0.959895i \(-0.590454\pi\)
0.959895 + 0.280361i \(0.0904542\pi\)
\(194\) 1.34760 2.33411i 0.0967520 0.167579i
\(195\) −9.17481 6.81910i −0.657022 0.488326i
\(196\) −6.92127 1.04691i −0.494376 0.0747796i
\(197\) 0.0908854 + 0.339189i 0.00647532 + 0.0241662i 0.969088 0.246716i \(-0.0793514\pi\)
−0.962613 + 0.270882i \(0.912685\pi\)
\(198\) −11.0746 + 6.10379i −0.787040 + 0.433777i
\(199\) 15.3630 + 8.86980i 1.08905 + 0.628764i 0.933324 0.359036i \(-0.116895\pi\)
0.155727 + 0.987800i \(0.450228\pi\)
\(200\) 1.59310 + 0.426870i 0.112649 + 0.0301843i
\(201\) 0.743387 + 0.00738691i 0.0524345 + 0.000521033i
\(202\) 12.7539 + 3.41740i 0.897361 + 0.240447i
\(203\) 3.02361 8.63374i 0.212216 0.605970i
\(204\) −0.218363 + 0.783707i −0.0152884 + 0.0548705i
\(205\) −5.86142 + 3.38409i −0.409379 + 0.236355i
\(206\) −3.63261 3.63261i −0.253096 0.253096i
\(207\) −22.4767 + 12.3880i −1.56224 + 0.861028i
\(208\) −1.46352 3.29516i −0.101477 0.228478i
\(209\) 5.56106i 0.384667i
\(210\) 4.79577 6.88225i 0.330940 0.474920i
\(211\) −5.30276 + 9.18465i −0.365057 + 0.632297i −0.988785 0.149344i \(-0.952284\pi\)
0.623728 + 0.781641i \(0.285617\pi\)
\(212\) 3.20423 0.220068
\(213\) 11.0695 6.24517i 0.758471 0.427912i
\(214\) 6.27098 1.68030i 0.428675 0.114863i
\(215\) −15.0802 15.0802i −1.02846 1.02846i
\(216\) −0.154872 + 5.19384i −0.0105377 + 0.353396i
\(217\) 10.8024 + 0.812367i 0.733314 + 0.0551470i
\(218\) −5.00021 + 8.66062i −0.338657 + 0.586571i
\(219\) 9.33671 5.26755i 0.630916 0.355948i
\(220\) −6.68200 + 3.85785i −0.450500 + 0.260097i
\(221\) −0.996691 + 1.36921i −0.0670447 + 0.0921034i
\(222\) −11.2467 + 2.89408i −0.754830 + 0.194238i
\(223\) −14.7587 + 3.95458i −0.988316 + 0.264818i −0.716543 0.697543i \(-0.754277\pi\)
−0.271773 + 0.962361i \(0.587610\pi\)
\(224\) 2.38404 1.14733i 0.159290 0.0766589i
\(225\) −2.38831 4.33332i −0.159221 0.288888i
\(226\) 16.3024 4.36823i 1.08442 0.290570i
\(227\) 4.46575 + 16.6664i 0.296402 + 1.10619i 0.940097 + 0.340906i \(0.110734\pi\)
−0.643695 + 0.765282i \(0.722600\pi\)
\(228\) −1.96753 1.16217i −0.130303 0.0769667i
\(229\) 6.91392 + 25.8031i 0.456884 + 1.70512i 0.682488 + 0.730897i \(0.260898\pi\)
−0.225604 + 0.974219i \(0.572435\pi\)
\(230\) −13.5616 + 7.82977i −0.894223 + 0.516280i
\(231\) −3.39734 19.0149i −0.223529 1.25109i
\(232\) 0.894886 + 3.33976i 0.0587521 + 0.219266i
\(233\) 9.56424 16.5657i 0.626574 1.08526i −0.361660 0.932310i \(-0.617790\pi\)
0.988234 0.152948i \(-0.0488767\pi\)
\(234\) −4.08533 + 10.0155i −0.267066 + 0.654733i
\(235\) 8.92096 + 15.4516i 0.581940 + 1.00795i
\(236\) −7.93039 2.12494i −0.516224 0.138322i
\(237\) −5.86890 22.8072i −0.381226 1.48148i
\(238\) −1.02661 0.700325i −0.0665453 0.0453953i
\(239\) −8.38717 + 8.38717i −0.542521 + 0.542521i −0.924267 0.381746i \(-0.875323\pi\)
0.381746 + 0.924267i \(0.375323\pi\)
\(240\) −0.0315032 + 3.17035i −0.00203353 + 0.204645i
\(241\) −5.36483 20.0218i −0.345579 1.28972i −0.891934 0.452165i \(-0.850652\pi\)
0.546355 0.837554i \(-0.316015\pi\)
\(242\) −1.75145 + 6.53650i −0.112587 + 0.420182i
\(243\) 11.5565 10.4617i 0.741351 0.671118i
\(244\) 9.43798 + 5.44902i 0.604204 + 0.348838i
\(245\) 7.60349 + 10.3136i 0.485769 + 0.658915i
\(246\) 4.48323 + 4.57322i 0.285840 + 0.291578i
\(247\) −2.99024 3.69950i −0.190265 0.235393i
\(248\) −3.54590 + 2.04722i −0.225165 + 0.129999i
\(249\) −0.0681687 + 6.86020i −0.00432002 + 0.434748i
\(250\) −6.08574 10.5408i −0.384896 0.666660i
\(251\) 3.06317 + 5.30557i 0.193346 + 0.334884i 0.946357 0.323123i \(-0.104733\pi\)
−0.753011 + 0.658008i \(0.771399\pi\)
\(252\) −7.43754 2.77181i −0.468521 0.174608i
\(253\) −9.33287 + 34.8308i −0.586753 + 2.18979i
\(254\) 1.51921 + 1.51921i 0.0953236 + 0.0953236i
\(255\) 1.29703 0.731756i 0.0812233 0.0458243i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.45182 7.71078i −0.277697 0.480985i 0.693115 0.720827i \(-0.256238\pi\)
−0.970812 + 0.239842i \(0.922904\pi\)
\(258\) −10.2630 + 17.3751i −0.638948 + 1.08172i
\(259\) 1.33028 17.6894i 0.0826598 1.09916i
\(260\) −2.37079 + 6.15942i −0.147030 + 0.381991i
\(261\) 5.36385 8.87821i 0.332014 0.549547i
\(262\) 3.04938 + 3.04938i 0.188391 + 0.188391i
\(263\) 4.57153i 0.281893i −0.990017 0.140946i \(-0.954985\pi\)
0.990017 0.140946i \(-0.0450145\pi\)
\(264\) 5.11087 + 5.21346i 0.314552 + 0.320867i
\(265\) −4.14741 4.14741i −0.254773 0.254773i
\(266\) 2.64636 2.27618i 0.162259 0.139561i
\(267\) 5.00203 + 8.86607i 0.306119 + 0.542595i
\(268\) −0.111089 0.414591i −0.00678585 0.0253251i
\(269\) 1.50862 + 0.871005i 0.0919824 + 0.0531061i 0.545286 0.838250i \(-0.316421\pi\)
−0.453303 + 0.891356i \(0.649755\pi\)
\(270\) 6.92313 6.52221i 0.421328 0.396929i
\(271\) 10.6559 + 2.85523i 0.647298 + 0.173443i 0.567507 0.823369i \(-0.307908\pi\)
0.0797910 + 0.996812i \(0.474575\pi\)
\(272\) 0.469709 0.0284803
\(273\) −12.4846 10.8229i −0.755602 0.655030i
\(274\) −11.2617 −0.680345
\(275\) −6.71508 1.79930i −0.404934 0.108502i
\(276\) 10.3729 + 10.5811i 0.624372 + 0.636906i
\(277\) −22.8768 13.2079i −1.37453 0.793586i −0.383036 0.923733i \(-0.625122\pi\)
−0.991495 + 0.130148i \(0.958455\pi\)
\(278\) −5.92560 22.1146i −0.355394 1.32635i
\(279\) 11.7993 + 3.41431i 0.706405 + 0.204409i
\(280\) −4.57083 1.60075i −0.273160 0.0956628i
\(281\) −9.29793 9.29793i −0.554668 0.554668i 0.373117 0.927784i \(-0.378289\pi\)
−0.927784 + 0.373117i \(0.878289\pi\)
\(282\) 12.0557 11.8185i 0.717906 0.703779i
\(283\) 10.0191i 0.595572i −0.954633 0.297786i \(-0.903752\pi\)
0.954633 0.297786i \(-0.0962482\pi\)
\(284\) −5.18871 5.18871i −0.307893 0.307893i
\(285\) 1.04242 + 4.05094i 0.0617474 + 0.239957i
\(286\) 6.16890 + 13.8894i 0.364774 + 0.821300i
\(287\) −8.81490 + 4.24219i −0.520327 + 0.250409i
\(288\) 2.91263 0.718720i 0.171629 0.0423510i
\(289\) 8.38969 + 14.5314i 0.493511 + 0.854786i
\(290\) 3.16453 5.48113i 0.185828 0.321863i
\(291\) 2.29382 + 4.06579i 0.134466 + 0.238341i
\(292\) −4.37647 4.37647i −0.256114 0.256114i
\(293\) −0.0253299 + 0.0945323i −0.00147979 + 0.00552264i −0.966662 0.256057i \(-0.917577\pi\)
0.965182 + 0.261579i \(0.0842433\pi\)
\(294\) 7.65814 9.39962i 0.446632 0.548197i
\(295\) 7.51430 + 13.0151i 0.437499 + 0.757771i
\(296\) 3.35242 + 5.80655i 0.194855 + 0.337499i
\(297\) 0.652801 21.8926i 0.0378794 1.27034i
\(298\) −6.82757 + 3.94190i −0.395511 + 0.228348i
\(299\) 12.5202 + 28.1895i 0.724061 + 1.63024i
\(300\) −2.03994 + 1.99980i −0.117776 + 0.115458i
\(301\) −20.1007 23.3698i −1.15859 1.34701i
\(302\) 8.61589 + 4.97439i 0.495789 + 0.286244i
\(303\) −16.3312 + 16.0098i −0.938202 + 0.919740i
\(304\) −0.341465 + 1.27436i −0.0195844 + 0.0730898i
\(305\) −5.16312 19.2690i −0.295639 1.10334i
\(306\) −0.976406 1.01601i −0.0558174 0.0580812i
\(307\) 18.6298 18.6298i 1.06326 1.06326i 0.0654016 0.997859i \(-0.479167\pi\)
0.997859 0.0654016i \(-0.0208328\pi\)
\(308\) −10.0490 + 4.83609i −0.572593 + 0.275562i
\(309\) 8.61731 2.21747i 0.490222 0.126147i
\(310\) 7.23948 + 1.93981i 0.411175 + 0.110174i
\(311\) 3.37427 + 5.84441i 0.191337 + 0.331406i 0.945694 0.325059i \(-0.105384\pi\)
−0.754356 + 0.656465i \(0.772051\pi\)
\(312\) 6.20334 + 0.720085i 0.351195 + 0.0407668i
\(313\) 3.77452 6.53766i 0.213348 0.369530i −0.739412 0.673253i \(-0.764896\pi\)
0.952760 + 0.303723i \(0.0982297\pi\)
\(314\) 3.06337 + 11.4326i 0.172876 + 0.645181i
\(315\) 6.03911 + 13.2145i 0.340265 + 0.744554i
\(316\) −11.7751 + 6.79835i −0.662400 + 0.382437i
\(317\) 6.03948 + 22.5397i 0.339211 + 1.26595i 0.899231 + 0.437474i \(0.144127\pi\)
−0.560020 + 0.828479i \(0.689207\pi\)
\(318\) −2.82257 + 4.77854i −0.158282 + 0.267967i
\(319\) −3.77204 14.0774i −0.211193 0.788185i
\(320\) 1.76812 0.473766i 0.0988409 0.0264843i
\(321\) −3.01815 + 10.8322i −0.168457 + 0.604594i
\(322\) −20.3950 + 9.81517i −1.13657 + 0.546978i
\(323\) 0.598580 0.160389i 0.0333059 0.00892429i
\(324\) −7.60926 4.80615i −0.422737 0.267009i
\(325\) −5.43471 + 2.41379i −0.301463 + 0.133893i
\(326\) 13.2811 7.66785i 0.735572 0.424683i
\(327\) −8.51114 15.0860i −0.470667 0.834255i
\(328\) 1.84873 3.20210i 0.102079 0.176806i
\(329\) 11.1831 + 23.2374i 0.616542 + 1.28112i
\(330\) 0.132789 13.3633i 0.00730981 0.735628i
\(331\) −16.1178 16.1178i −0.885916 0.885916i 0.108212 0.994128i \(-0.465488\pi\)
−0.994128 + 0.108212i \(0.965488\pi\)
\(332\) 3.82597 1.02517i 0.209977 0.0562633i
\(333\) 5.59107 19.3218i 0.306389 1.05883i
\(334\) 20.1363 1.10181
\(335\) −0.392838 + 0.680415i −0.0214630 + 0.0371751i
\(336\) −0.389040 + 4.56603i −0.0212238 + 0.249097i
\(337\) 7.04042i 0.383516i −0.981442 0.191758i \(-0.938581\pi\)
0.981442 0.191758i \(-0.0614189\pi\)
\(338\) 11.5724 + 5.92287i 0.629454 + 0.322162i
\(339\) −7.84618 + 28.1601i −0.426146 + 1.52945i
\(340\) −0.607969 0.607969i −0.0329718 0.0329718i
\(341\) 14.9463 8.62926i 0.809388 0.467301i
\(342\) 3.46634 1.91047i 0.187438 0.103307i
\(343\) 9.84107 + 15.6893i 0.531368 + 0.847141i
\(344\) 11.2538 + 3.01545i 0.606764 + 0.162582i
\(345\) 0.269505 27.1218i 0.0145097 1.46019i
\(346\) 19.4773 + 5.21892i 1.04710 + 0.280571i
\(347\) −28.5564 16.4871i −1.53299 0.885072i −0.999222 0.0394416i \(-0.987442\pi\)
−0.533768 0.845631i \(-0.679225\pi\)
\(348\) −5.76895 1.60739i −0.309248 0.0861651i
\(349\) −0.715205 2.66918i −0.0382841 0.142878i 0.944138 0.329549i \(-0.106897\pi\)
−0.982422 + 0.186671i \(0.940230\pi\)
\(350\) −1.89228 3.93199i −0.101147 0.210174i
\(351\) −11.3376 14.9151i −0.605156 0.796107i
\(352\) 2.10755 3.65038i 0.112333 0.194566i
\(353\) −2.22532 + 2.22532i −0.118442 + 0.118442i −0.763843 0.645402i \(-0.776690\pi\)
0.645402 + 0.763843i \(0.276690\pi\)
\(354\) 10.1547 9.95492i 0.539718 0.529098i
\(355\) 13.4321i 0.712899i
\(356\) 4.15587 4.15587i 0.220261 0.220261i
\(357\) 1.94874 0.914099i 0.103138 0.0483793i
\(358\) −5.31960 1.42538i −0.281150 0.0753338i
\(359\) 21.2293 5.68837i 1.12044 0.300220i 0.349377 0.936982i \(-0.386393\pi\)
0.771061 + 0.636762i \(0.219727\pi\)
\(360\) −4.70026 2.83970i −0.247725 0.149665i
\(361\) 17.2594i 0.908389i
\(362\) 4.17709 15.5891i 0.219543 0.819345i
\(363\) −8.20518 8.36989i −0.430660 0.439305i
\(364\) −4.08466 + 8.62065i −0.214094 + 0.451845i
\(365\) 11.3294i 0.593008i
\(366\) −16.4400 + 9.27508i −0.859334 + 0.484816i
\(367\) 5.38521 0.281106 0.140553 0.990073i \(-0.455112\pi\)
0.140553 + 0.990073i \(0.455112\pi\)
\(368\) 4.27741 7.40870i 0.222976 0.386205i
\(369\) −10.7694 + 2.65744i −0.560631 + 0.138341i
\(370\) 3.17652 11.8549i 0.165140 0.616309i
\(371\) −5.52816 6.42723i −0.287008 0.333685i
\(372\) 0.0704665 7.09144i 0.00365352 0.367674i
\(373\) −25.4457 −1.31753 −0.658765 0.752349i \(-0.728921\pi\)
−0.658765 + 0.752349i \(0.728921\pi\)
\(374\) −1.97987 −0.102377
\(375\) 21.0806 + 0.209474i 1.08860 + 0.0108172i
\(376\) −8.44121 4.87353i −0.435322 0.251333i
\(377\) −10.0789 7.33674i −0.519091 0.377862i
\(378\) 10.6853 8.65011i 0.549592 0.444914i
\(379\) 12.0881 3.23899i 0.620923 0.166376i 0.0653756 0.997861i \(-0.479175\pi\)
0.555547 + 0.831485i \(0.312509\pi\)
\(380\) 2.09145 1.20750i 0.107289 0.0619435i
\(381\) −3.60388 + 0.927376i −0.184632 + 0.0475109i
\(382\) 0.144701 0.540032i 0.00740355 0.0276304i
\(383\) −6.83241 + 6.83241i −0.349120 + 0.349120i −0.859782 0.510662i \(-0.829400\pi\)
0.510662 + 0.859782i \(0.329400\pi\)
\(384\) −0.851078 1.50853i −0.0434314 0.0769819i
\(385\) 19.2665 + 6.74730i 0.981913 + 0.343874i
\(386\) 11.5621 6.67536i 0.588493 0.339767i
\(387\) −16.8712 30.6109i −0.857612 1.55604i
\(388\) 1.90579 1.90579i 0.0967520 0.0967520i
\(389\) 17.1024 + 29.6221i 0.867124 + 1.50190i 0.864923 + 0.501905i \(0.167367\pi\)
0.00220090 + 0.999998i \(0.499299\pi\)
\(390\) −7.09727 8.96136i −0.359384 0.453776i
\(391\) −4.01828 −0.203213
\(392\) −6.41447 2.80260i −0.323980 0.141553i
\(393\) −7.23376 + 1.86144i −0.364895 + 0.0938973i
\(394\) 0.351154i 0.0176909i
\(395\) 24.0406 + 6.44165i 1.20961 + 0.324115i
\(396\) −12.2771 + 3.02948i −0.616945 + 0.152237i
\(397\) 3.88127 3.88127i 0.194795 0.194795i −0.602969 0.797764i \(-0.706016\pi\)
0.797764 + 0.602969i \(0.206016\pi\)
\(398\) 12.5438 + 12.5438i 0.628764 + 0.628764i
\(399\) 1.06336 + 5.95163i 0.0532347 + 0.297954i
\(400\) 1.42833 + 0.824649i 0.0714167 + 0.0412325i
\(401\) 2.20534 8.23043i 0.110129 0.411008i −0.888747 0.458398i \(-0.848424\pi\)
0.998876 + 0.0473896i \(0.0150902\pi\)
\(402\) 0.716145 + 0.199538i 0.0357180 + 0.00995204i
\(403\) 5.30299 13.7774i 0.264161 0.686302i
\(404\) 11.4348 + 6.60190i 0.568904 + 0.328457i
\(405\) 3.62821 + 16.0699i 0.180287 + 0.798522i
\(406\) 5.15516 7.55699i 0.255846 0.375047i
\(407\) −14.1308 24.4752i −0.700436 1.21319i
\(408\) −0.413760 + 0.700486i −0.0204842 + 0.0346792i
\(409\) 11.6697 3.12688i 0.577029 0.154614i 0.0415104 0.999138i \(-0.486783\pi\)
0.535518 + 0.844524i \(0.320116\pi\)
\(410\) −6.53756 + 1.75173i −0.322867 + 0.0865120i
\(411\) 9.92030 16.7948i 0.489332 0.828428i
\(412\) −2.56865 4.44902i −0.126548 0.219188i
\(413\) 9.41970 + 19.5733i 0.463513 + 0.963139i
\(414\) −24.9171 + 6.14852i −1.22461 + 0.302183i
\(415\) −6.27908 3.62523i −0.308228 0.177956i
\(416\) −0.560803 3.56167i −0.0274956 0.174625i
\(417\) 38.1998 + 10.6435i 1.87065 + 0.521216i
\(418\) 1.43931 5.37158i 0.0703989 0.262732i
\(419\) −4.97007 2.86947i −0.242804 0.140183i 0.373661 0.927565i \(-0.378102\pi\)
−0.616465 + 0.787383i \(0.711436\pi\)
\(420\) 6.41361 5.40650i 0.312952 0.263810i
\(421\) 7.51201 + 7.51201i 0.366113 + 0.366113i 0.866057 0.499944i \(-0.166646\pi\)
−0.499944 + 0.866057i \(0.666646\pi\)
\(422\) −7.49923 + 7.49923i −0.365057 + 0.365057i
\(423\) 7.00541 + 28.3896i 0.340615 + 1.38035i
\(424\) 3.09505 + 0.829317i 0.150309 + 0.0402752i
\(425\) 0.774690i 0.0375780i
\(426\) 12.3087 3.16736i 0.596359 0.153459i
\(427\) −5.35308 28.3322i −0.259053 1.37109i
\(428\) 6.49219 0.313812
\(429\) −26.1477 3.03523i −1.26242 0.146542i
\(430\) −10.6633 18.4694i −0.514232 0.890676i
\(431\) −8.75759 + 8.75759i −0.421838 + 0.421838i −0.885836 0.463998i \(-0.846415\pi\)
0.463998 + 0.885836i \(0.346415\pi\)
\(432\) −1.49386 + 4.97678i −0.0718734 + 0.239446i
\(433\) −17.3783 + 10.0334i −0.835149 + 0.482174i −0.855612 0.517617i \(-0.826819\pi\)
0.0204632 + 0.999791i \(0.493486\pi\)
\(434\) 10.2241 + 3.58055i 0.490770 + 0.171872i
\(435\) 5.38653 + 9.54759i 0.258264 + 0.457772i
\(436\) −7.07137 + 7.07137i −0.338657 + 0.338657i
\(437\) 2.92117 10.9020i 0.139739 0.521512i
\(438\) 10.3819 2.67155i 0.496067 0.127651i
\(439\) −13.1405 + 7.58665i −0.627160 + 0.362091i −0.779651 0.626214i \(-0.784604\pi\)
0.152491 + 0.988305i \(0.451270\pi\)
\(440\) −7.45280 + 1.99697i −0.355298 + 0.0952019i
\(441\) 7.27189 + 19.7008i 0.346280 + 0.938131i
\(442\) −1.31711 + 1.06460i −0.0626485 + 0.0506377i
\(443\) 30.6703 + 17.7075i 1.45719 + 0.841309i 0.998872 0.0474791i \(-0.0151187\pi\)
0.458318 + 0.888788i \(0.348452\pi\)
\(444\) −11.6125 0.115392i −0.551106 0.00547626i
\(445\) −10.7583 −0.509994
\(446\) −15.2793 −0.723497
\(447\) 0.135682 13.6545i 0.00641755 0.645834i
\(448\) 2.59976 0.491196i 0.122827 0.0232068i
\(449\) 1.63891 6.11648i 0.0773448 0.288655i −0.916410 0.400241i \(-0.868926\pi\)
0.993755 + 0.111586i \(0.0355931\pi\)
\(450\) −1.18538 4.80380i −0.0558795 0.226453i
\(451\) −7.79259 + 13.4972i −0.366939 + 0.635557i
\(452\) 16.8775 0.793852
\(453\) −15.0080 + 8.46718i −0.705139 + 0.397823i
\(454\) 17.2543i 0.809785i
\(455\) 16.4452 5.87118i 0.770961 0.275245i
\(456\) −1.59969 1.63181i −0.0749126 0.0764163i
\(457\) −6.05003 + 22.5790i −0.283008 + 1.05620i 0.667274 + 0.744812i \(0.267461\pi\)
−0.950282 + 0.311390i \(0.899206\pi\)
\(458\) 26.7133i 1.24823i
\(459\) 2.37529 0.561147i 0.110869 0.0261921i
\(460\) −15.1260 + 4.05299i −0.705251 + 0.188972i
\(461\) −13.1547 3.52480i −0.612677 0.164166i −0.0608805 0.998145i \(-0.519391\pi\)
−0.551797 + 0.833979i \(0.686058\pi\)
\(462\) 1.63984 19.2463i 0.0762923 0.895418i
\(463\) 7.45241 7.45241i 0.346343 0.346343i −0.512402 0.858745i \(-0.671244\pi\)
0.858745 + 0.512402i \(0.171244\pi\)
\(464\) 3.45757i 0.160514i
\(465\) −9.27004 + 9.08763i −0.429888 + 0.421429i
\(466\) 13.5259 13.5259i 0.626574 0.626574i
\(467\) −5.79547 + 10.0380i −0.268182 + 0.464505i −0.968392 0.249432i \(-0.919756\pi\)
0.700210 + 0.713937i \(0.253090\pi\)
\(468\) −6.53832 + 8.61686i −0.302234 + 0.398315i
\(469\) −0.639950 + 0.938108i −0.0295502 + 0.0433178i
\(470\) 4.61783 + 17.2340i 0.213005 + 0.794944i
\(471\) −19.7482 5.50240i −0.909950 0.253537i
\(472\) −7.11019 4.10507i −0.327273 0.188951i
\(473\) −47.4359 12.7104i −2.18110 0.584425i
\(474\) 0.234003 23.5490i 0.0107481 1.08164i
\(475\) 2.10181 + 0.563178i 0.0964375 + 0.0258404i
\(476\) −0.810373 0.942168i −0.0371434 0.0431842i
\(477\) −4.63997 8.41871i −0.212450 0.385466i
\(478\) −10.2721 + 5.93062i −0.469837 + 0.271260i
\(479\) −15.5030 15.5030i −0.708352 0.708352i 0.257836 0.966189i \(-0.416990\pi\)
−0.966189 + 0.257836i \(0.916990\pi\)
\(480\) −0.850976 + 3.05417i −0.0388416 + 0.139403i
\(481\) −22.5611 8.68387i −1.02870 0.395950i
\(482\) 20.7281i 0.944140i
\(483\) 3.32817 39.0616i 0.151437 1.77736i
\(484\) −3.38354 + 5.86046i −0.153797 + 0.266385i
\(485\) −4.93354 −0.224020
\(486\) 13.8704 7.11417i 0.629175 0.322705i
\(487\) −6.89989 + 1.84882i −0.312664 + 0.0837780i −0.411739 0.911302i \(-0.635078\pi\)
0.0990748 + 0.995080i \(0.468412\pi\)
\(488\) 7.70607 + 7.70607i 0.348838 + 0.348838i
\(489\) −0.263931 + 26.5609i −0.0119354 + 1.20112i
\(490\) 4.67504 + 11.9301i 0.211197 + 0.538949i
\(491\) −18.1562 + 31.4474i −0.819376 + 1.41920i 0.0867668 + 0.996229i \(0.472346\pi\)
−0.906143 + 0.422972i \(0.860987\pi\)
\(492\) 3.14683 + 5.57774i 0.141870 + 0.251464i
\(493\) 1.40647 0.812026i 0.0633443 0.0365718i
\(494\) −1.93085 4.34737i −0.0868732 0.195598i
\(495\) 19.8121 + 11.9696i 0.890486 + 0.537995i
\(496\) −3.95493 + 1.05972i −0.177582 + 0.0475829i
\(497\) −1.45590 + 19.3597i −0.0653060 + 0.868402i
\(498\) −1.84140 + 6.60880i −0.0825150 + 0.296147i
\(499\) 35.3246 9.46520i 1.58135 0.423720i 0.642004 0.766702i \(-0.278103\pi\)
0.939342 + 0.342981i \(0.111437\pi\)
\(500\) −3.15021 11.7568i −0.140882 0.525778i
\(501\) −17.7378 + 30.0297i −0.792468 + 1.34163i
\(502\) 1.58561 + 5.91759i 0.0707694 + 0.264115i
\(503\) 26.7281 15.4315i 1.19175 0.688056i 0.233045 0.972466i \(-0.425131\pi\)
0.958703 + 0.284410i \(0.0917976\pi\)
\(504\) −6.46672 4.60234i −0.288051 0.205005i
\(505\) −6.25552 23.3459i −0.278367 1.03888i
\(506\) −18.0297 + 31.2284i −0.801519 + 1.38827i
\(507\) −19.0268 + 12.0407i −0.845012 + 0.534747i
\(508\) 1.07424 + 1.86064i 0.0476618 + 0.0825527i
\(509\) 3.50851 + 0.940103i 0.155512 + 0.0416693i 0.335735 0.941956i \(-0.391015\pi\)
−0.180223 + 0.983626i \(0.557682\pi\)
\(510\) 1.44223 0.371125i 0.0638630 0.0164337i
\(511\) −1.22799 + 16.3292i −0.0543232 + 0.722359i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) −0.204326 + 6.85234i −0.00902119 + 0.302538i
\(514\) −2.30443 8.60026i −0.101644 0.379341i
\(515\) −2.43387 + 9.08334i −0.107249 + 0.400260i
\(516\) −14.4103 + 14.1268i −0.634379 + 0.621896i
\(517\) 35.5805 + 20.5424i 1.56483 + 0.903455i
\(518\) 5.86330 16.7423i 0.257619 0.735615i
\(519\) −24.9404 + 24.4496i −1.09476 + 1.07322i
\(520\) −3.88418 + 5.33594i −0.170333 + 0.233996i
\(521\) 17.9997 10.3922i 0.788583 0.455289i −0.0508804 0.998705i \(-0.516203\pi\)
0.839463 + 0.543416i \(0.182869\pi\)
\(522\) 7.47893 7.18742i 0.327344 0.314585i
\(523\) −5.11816 8.86491i −0.223801 0.387635i 0.732158 0.681135i \(-0.238513\pi\)
−0.955959 + 0.293500i \(0.905180\pi\)
\(524\) 2.15623 + 3.73471i 0.0941956 + 0.163151i
\(525\) 7.53075 + 0.641642i 0.328669 + 0.0280036i
\(526\) 1.18320 4.41576i 0.0515900 0.192536i
\(527\) 1.35991 + 1.35991i 0.0592385 + 0.0592385i
\(528\) 3.58738 + 6.35861i 0.156121 + 0.276723i
\(529\) −25.0925 + 43.4615i −1.09098 + 1.88963i
\(530\) −2.93266 5.07952i −0.127387 0.220640i
\(531\) 5.90079 + 23.9131i 0.256073 + 1.03774i
\(532\) 3.14531 1.51369i 0.136366 0.0656267i
\(533\) 2.07355 + 13.1692i 0.0898154 + 0.570419i
\(534\) 2.53688 + 9.85859i 0.109782 + 0.426623i
\(535\) −8.40319 8.40319i −0.363302 0.363302i
\(536\) 0.429216i 0.0185393i
\(537\) 6.81167 6.67763i 0.293945 0.288161i
\(538\) 1.23179 + 1.23179i 0.0531061 + 0.0531061i
\(539\) 27.0376 + 11.8132i 1.16459 + 0.508832i
\(540\) 8.37530 4.50813i 0.360416 0.193999i
\(541\) 5.72876 + 21.3800i 0.246298 + 0.919199i 0.972726 + 0.231956i \(0.0745125\pi\)
−0.726428 + 0.687243i \(0.758821\pi\)
\(542\) 9.55379 + 5.51588i 0.410370 + 0.236927i
\(543\) 19.5688 + 19.9616i 0.839778 + 0.856635i
\(544\) 0.453704 + 0.121570i 0.0194524 + 0.00521225i
\(545\) 18.3057 0.784130
\(546\) −9.25803 13.6854i −0.396207 0.585679i
\(547\) 34.8653 1.49073 0.745366 0.666655i \(-0.232275\pi\)
0.745366 + 0.666655i \(0.232275\pi\)
\(548\) −10.8780 2.91475i −0.464684 0.124512i
\(549\) 0.649688 32.6876i 0.0277280 1.39507i
\(550\) −6.02057 3.47598i −0.256718 0.148216i
\(551\) 1.18064 + 4.40621i 0.0502970 + 0.187711i
\(552\) 7.28083 + 12.9052i 0.309892 + 0.549283i
\(553\) 33.9516 + 11.8902i 1.44377 + 0.505621i
\(554\) −18.6788 18.6788i −0.793586 0.793586i
\(555\) 14.8814 + 15.1801i 0.631679 + 0.644359i
\(556\) 22.8948i 0.970954i
\(557\) 16.4908 + 16.4908i 0.698738 + 0.698738i 0.964138 0.265401i \(-0.0855042\pi\)
−0.265401 + 0.964138i \(0.585504\pi\)
\(558\) 10.5135 + 6.35185i 0.445074 + 0.268895i
\(559\) −38.3912 + 17.0512i −1.62378 + 0.721189i
\(560\) −4.00078 2.72922i −0.169064 0.115331i
\(561\) 1.74404 2.95262i 0.0736335 0.124660i
\(562\) −6.57463 11.3876i −0.277334 0.480357i
\(563\) 4.24907 7.35961i 0.179077 0.310170i −0.762488 0.647003i \(-0.776022\pi\)
0.941565 + 0.336832i \(0.109356\pi\)
\(564\) 14.7038 8.29552i 0.619140 0.349304i
\(565\) −21.8455 21.8455i −0.919047 0.919047i
\(566\) 2.59313 9.67769i 0.108997 0.406783i
\(567\) 3.48755 + 23.5550i 0.146463 + 0.989216i
\(568\) −3.66897 6.35485i −0.153947 0.266644i
\(569\) 16.3458 + 28.3118i 0.685253 + 1.18689i 0.973357 + 0.229294i \(0.0736418\pi\)
−0.288104 + 0.957599i \(0.593025\pi\)
\(570\) −0.0415628 + 4.18270i −0.00174088 + 0.175194i
\(571\) −36.1272 + 20.8580i −1.51187 + 0.872881i −0.511971 + 0.859003i \(0.671085\pi\)
−0.999904 + 0.0138789i \(0.995582\pi\)
\(572\) 2.36384 + 15.0128i 0.0988372 + 0.627717i
\(573\) 0.677895 + 0.691503i 0.0283195 + 0.0288879i
\(574\) −9.61250 + 1.81618i −0.401218 + 0.0758059i
\(575\) −12.2192 7.05473i −0.509574 0.294203i
\(576\) 2.99941 + 0.0596151i 0.124975 + 0.00248396i
\(577\) −1.11933 + 4.17739i −0.0465983 + 0.173907i −0.985303 0.170815i \(-0.945360\pi\)
0.938705 + 0.344722i \(0.112027\pi\)
\(578\) 4.34282 + 16.2076i 0.180638 + 0.674149i
\(579\) −0.229769 + 23.1230i −0.00954889 + 0.960958i
\(580\) 4.47532 4.47532i 0.185828 0.185828i
\(581\) −8.65715 5.90566i −0.359159 0.245008i
\(582\) 1.16336 + 4.52094i 0.0482228 + 0.187399i
\(583\) −13.0460 3.49565i −0.540308 0.144775i
\(584\) −3.09463 5.36006i −0.128057 0.221801i
\(585\) 19.6162 2.69036i 0.811029 0.111233i
\(586\) −0.0489335 + 0.0847554i −0.00202143 + 0.00350121i
\(587\) 0.699999 + 2.61243i 0.0288920 + 0.107827i 0.978866 0.204502i \(-0.0655576\pi\)
−0.949974 + 0.312329i \(0.898891\pi\)
\(588\) 9.83000 7.09726i 0.405382 0.292686i
\(589\) −4.67817 + 2.70094i −0.192761 + 0.111290i
\(590\) 3.88969 + 14.5165i 0.160136 + 0.597635i
\(591\) −0.523684 0.309327i −0.0215415 0.0127240i
\(592\) 1.73534 + 6.47637i 0.0713219 + 0.266177i
\(593\) −29.2182 + 7.82899i −1.19985 + 0.321498i −0.802771 0.596288i \(-0.796642\pi\)
−0.397076 + 0.917786i \(0.629975\pi\)
\(594\) 6.29677 20.9776i 0.258360 0.860723i
\(595\) −0.170590 + 2.26841i −0.00699350 + 0.0929956i
\(596\) −7.61516 + 2.04048i −0.311929 + 0.0835812i
\(597\) −29.7565 + 7.65716i −1.21785 + 0.313387i
\(598\) 4.79757 + 30.4695i 0.196187 + 1.24599i
\(599\) −14.5428 + 8.39629i −0.594203 + 0.343063i −0.766758 0.641937i \(-0.778131\pi\)
0.172555 + 0.985000i \(0.444798\pi\)
\(600\) −2.48802 + 1.40368i −0.101573 + 0.0573051i
\(601\) −8.57728 + 14.8563i −0.349875 + 0.606001i −0.986227 0.165398i \(-0.947109\pi\)
0.636352 + 0.771399i \(0.280442\pi\)
\(602\) −13.3672 27.7759i −0.544808 1.13206i
\(603\) −0.928418 + 0.892231i −0.0378081 + 0.0363345i
\(604\) 7.03485 + 7.03485i 0.286244 + 0.286244i
\(605\) 11.9650 3.20601i 0.486447 0.130343i
\(606\) −19.9183 + 11.2375i −0.809128 + 0.456491i
\(607\) 28.6947 1.16468 0.582341 0.812945i \(-0.302137\pi\)
0.582341 + 0.812945i \(0.302137\pi\)
\(608\) −0.659660 + 1.14256i −0.0267527 + 0.0463371i
\(609\) 6.72878 + 14.3449i 0.272664 + 0.581283i
\(610\) 19.9488i 0.807702i
\(611\) 34.7158 5.46619i 1.40445 0.221138i
\(612\) −0.680174 1.23410i −0.0274944 0.0498855i
\(613\) −19.5456 19.5456i −0.789438 0.789438i 0.191964 0.981402i \(-0.438514\pi\)
−0.981402 + 0.191964i \(0.938514\pi\)
\(614\) 22.8168 13.1733i 0.920811 0.531630i
\(615\) 3.14646 11.2927i 0.126877 0.455365i
\(616\) −10.9582 + 2.07044i −0.441520 + 0.0834205i
\(617\) 4.46425 + 1.19619i 0.179724 + 0.0481569i 0.347559 0.937658i \(-0.387011\pi\)
−0.167835 + 0.985815i \(0.553677\pi\)
\(618\) 8.89761 + 0.0884141i 0.357914 + 0.00355654i
\(619\) −27.1861 7.28449i −1.09270 0.292788i −0.332912 0.942958i \(-0.608031\pi\)
−0.759789 + 0.650169i \(0.774698\pi\)
\(620\) 6.49074 + 3.74743i 0.260674 + 0.150500i
\(621\) 12.7797 42.5755i 0.512832 1.70850i
\(622\) 1.74665 + 6.51860i 0.0700344 + 0.261372i
\(623\) −15.5061 1.16609i −0.621237 0.0467186i
\(624\) 5.80560 + 2.30109i 0.232410 + 0.0921174i
\(625\) −7.01666 + 12.1532i −0.280666 + 0.486129i
\(626\) 5.33798 5.33798i 0.213348 0.213348i
\(627\) 6.74287 + 6.87822i 0.269284 + 0.274690i
\(628\) 11.8359i 0.472305i
\(629\) 2.22690 2.22690i 0.0887925 0.0887925i
\(630\) 2.41316 + 14.3273i 0.0961427 + 0.570812i
\(631\) −5.68895 1.52435i −0.226474 0.0606834i 0.143798 0.989607i \(-0.454069\pi\)
−0.370271 + 0.928924i \(0.620735\pi\)
\(632\) −13.1334 + 3.51908i −0.522418 + 0.139982i
\(633\) −4.57778 17.7897i −0.181951 0.707079i
\(634\) 23.3348i 0.926742i
\(635\) 1.01788 3.79878i 0.0403933 0.150750i
\(636\) −3.96317 + 3.88518i −0.157150 + 0.154057i
\(637\) 24.3389 6.67968i 0.964342 0.264659i
\(638\) 14.5740i 0.576991i
\(639\) −6.11902 + 21.1463i −0.242065 + 0.836535i
\(640\) 1.83049 0.0723566
\(641\) −12.0856 + 20.9329i −0.477353 + 0.826800i −0.999663 0.0259555i \(-0.991737\pi\)
0.522310 + 0.852756i \(0.325071\pi\)
\(642\) −5.71889 + 9.68194i −0.225707 + 0.382116i
\(643\) 8.11515 30.2861i 0.320030 1.19437i −0.599184 0.800611i \(-0.704508\pi\)
0.919214 0.393757i \(-0.128825\pi\)
\(644\) −22.2405 + 4.20210i −0.876397 + 0.165586i
\(645\) 36.9371 + 0.367038i 1.45440 + 0.0144521i
\(646\) 0.619696 0.0243816
\(647\) −44.0152 −1.73042 −0.865208 0.501413i \(-0.832814\pi\)
−0.865208 + 0.501413i \(0.832814\pi\)
\(648\) −6.10606 6.61181i −0.239869 0.259736i
\(649\) 29.9702 + 17.3033i 1.17643 + 0.679213i
\(650\) −5.87426 + 0.924932i −0.230407 + 0.0362788i
\(651\) −14.3460 + 12.0933i −0.562264 + 0.473973i
\(652\) 14.8131 3.96917i 0.580127 0.155445i
\(653\) 27.6747 15.9780i 1.08300 0.625268i 0.151293 0.988489i \(-0.451656\pi\)
0.931703 + 0.363221i \(0.118323\pi\)
\(654\) −4.31660 16.7748i −0.168792 0.655945i
\(655\) 2.04310 7.62496i 0.0798306 0.297932i
\(656\) 2.61450 2.61450i 0.102079 0.102079i
\(657\) −5.16116 + 17.8361i −0.201356 + 0.695852i
\(658\) 4.78772 + 25.3400i 0.186645 + 0.987855i
\(659\) −8.48563 + 4.89918i −0.330553 + 0.190845i −0.656087 0.754686i \(-0.727789\pi\)
0.325534 + 0.945531i \(0.394456\pi\)
\(660\) 3.58695 12.8736i 0.139622 0.501105i
\(661\) 28.5622 28.5622i 1.11094 1.11094i 0.117917 0.993023i \(-0.462378\pi\)
0.993023 0.117917i \(-0.0376216\pi\)
\(662\) −11.3970 19.7402i −0.442958 0.767226i
\(663\) −0.427432 2.90202i −0.0166001 0.112705i
\(664\) 3.96093 0.153714
\(665\) −6.03039 2.11189i −0.233849 0.0818957i
\(666\) 10.4014 17.2164i 0.403047 0.667121i
\(667\) 29.5789i 1.14530i
\(668\) 19.4502 + 5.21167i 0.752551 + 0.201645i
\(669\) 13.4594 22.7864i 0.520369 0.880973i
\(670\) −0.555557 + 0.555557i −0.0214630 + 0.0214630i
\(671\) −32.4819 32.4819i −1.25395 1.25395i
\(672\) −1.55756 + 4.30976i −0.0600842 + 0.166253i
\(673\) −15.1655 8.75581i −0.584588 0.337512i 0.178367 0.983964i \(-0.442919\pi\)
−0.762954 + 0.646452i \(0.776252\pi\)
\(674\) 1.82219 6.80052i 0.0701883 0.261946i
\(675\) 8.20820 + 2.46382i 0.315934 + 0.0948325i
\(676\) 9.64509 + 8.71620i 0.370965 + 0.335239i
\(677\) −37.4927 21.6464i −1.44096 0.831938i −0.443046 0.896499i \(-0.646102\pi\)
−0.997914 + 0.0645604i \(0.979435\pi\)
\(678\) −14.8672 + 25.1698i −0.570971 + 0.966641i
\(679\) −7.11074 0.534746i −0.272885 0.0205217i
\(680\) −0.429899 0.744607i −0.0164859 0.0285544i
\(681\) −25.7317 15.1991i −0.986042 0.582431i
\(682\) 16.6704 4.46683i 0.638344 0.171044i
\(683\) −7.14274 + 1.91389i −0.273309 + 0.0732331i −0.392871 0.919594i \(-0.628518\pi\)
0.119561 + 0.992827i \(0.461851\pi\)
\(684\) 3.84270 0.948221i 0.146929 0.0362561i
\(685\) 10.3072 + 17.8527i 0.393819 + 0.682115i
\(686\) 5.44506 + 17.7017i 0.207893 + 0.675855i
\(687\) −39.8381 23.5314i −1.51992 0.897780i
\(688\) 10.0899 + 5.82539i 0.384673 + 0.222091i
\(689\) −10.5585 + 4.68947i −0.402246 + 0.178655i
\(690\) 7.27996 26.1279i 0.277143 0.994671i
\(691\) −1.90039 + 7.09235i −0.0722943 + 0.269806i −0.992606 0.121380i \(-0.961268\pi\)
0.920312 + 0.391185i \(0.127935\pi\)
\(692\) 17.4628 + 10.0822i 0.663838 + 0.383267i
\(693\) 27.2579 + 19.3993i 1.03544 + 0.736920i
\(694\) −23.3162 23.3162i −0.885072 0.885072i
\(695\) −29.6339 + 29.6339i −1.12408 + 1.12408i
\(696\) −5.15635 3.04573i −0.195451 0.115448i
\(697\) −1.67755 0.449499i −0.0635419 0.0170260i
\(698\) 2.76334i 0.104594i
\(699\) 8.25665 + 32.0862i 0.312295 + 1.21361i
\(700\) −0.810129 4.28777i −0.0306200 0.162063i
\(701\) −8.78964 −0.331980 −0.165990 0.986127i \(-0.553082\pi\)
−0.165990 + 0.986127i \(0.553082\pi\)
\(702\) −7.09098 17.3412i −0.267632 0.654502i
\(703\) 4.42291 + 7.66070i 0.166813 + 0.288929i
\(704\) 2.98053 2.98053i 0.112333 0.112333i
\(705\) −29.7692 8.29452i −1.12117 0.312390i
\(706\) −2.72544 + 1.57354i −0.102573 + 0.0592208i
\(707\) −6.48566 34.3267i −0.243918 1.29099i
\(708\) 12.3852 6.98747i 0.465466 0.262605i
\(709\) −4.37369 + 4.37369i −0.164257 + 0.164257i −0.784450 0.620192i \(-0.787055\pi\)
0.620192 + 0.784450i \(0.287055\pi\)
\(710\) −3.47647 + 12.9744i −0.130470 + 0.486919i
\(711\) 34.9130 + 21.0930i 1.30934 + 0.791049i
\(712\) 5.08988 2.93864i 0.190751 0.110130i
\(713\) 33.8338 9.06573i 1.26708 0.339514i
\(714\) 2.11892 0.378582i 0.0792987 0.0141681i
\(715\) 16.3722 22.4915i 0.612287 0.841135i
\(716\) −4.76942 2.75363i −0.178242 0.102908i
\(717\) 0.204135 20.5433i 0.00762357 0.767202i
\(718\) 21.9782 0.820217
\(719\) 18.9811 0.707876 0.353938 0.935269i \(-0.384842\pi\)
0.353938 + 0.935269i \(0.384842\pi\)
\(720\) −3.80513 3.95946i −0.141809 0.147560i
\(721\) −4.49250 + 12.8281i −0.167310 + 0.477743i
\(722\) 4.46706 16.6713i 0.166247 0.620441i
\(723\) 30.9123 + 18.2591i 1.14964 + 0.679064i
\(724\) 8.06951 13.9768i 0.299901 0.519444i
\(725\) 5.70257 0.211788
\(726\) −5.75931 10.2083i −0.213748 0.378867i
\(727\) 34.8355i 1.29198i −0.763347 0.645989i \(-0.776445\pi\)
0.763347 0.645989i \(-0.223555\pi\)
\(728\) −6.17666 + 7.26972i −0.228922 + 0.269434i
\(729\) −1.60876 + 26.9520i −0.0595838 + 0.998223i
\(730\) −2.93227 + 10.9434i −0.108528 + 0.405032i
\(731\) 5.47248i 0.202407i
\(732\) −18.2804 + 4.70405i −0.675663 + 0.173867i
\(733\) −43.7567 + 11.7246i −1.61619 + 0.433057i −0.949879 0.312617i \(-0.898794\pi\)
−0.666311 + 0.745674i \(0.732128\pi\)
\(734\) 5.20172 + 1.39380i 0.191999 + 0.0514459i
\(735\) −21.9099 3.53713i −0.808157 0.130469i
\(736\) 6.04918 6.04918i 0.222976 0.222976i
\(737\) 1.80919i 0.0666423i
\(738\) −11.0902 0.220425i −0.408236 0.00811395i
\(739\) 1.74707 1.74707i 0.0642669 0.0642669i −0.674243 0.738510i \(-0.735530\pi\)
0.738510 + 0.674243i \(0.235530\pi\)
\(740\) 6.13657 10.6289i 0.225585 0.390724i
\(741\) 8.18419 + 0.950022i 0.300654 + 0.0348999i
\(742\) −3.67630 7.63902i −0.134961 0.280437i
\(743\) −9.90850 36.9790i −0.363507 1.35663i −0.869433 0.494051i \(-0.835516\pi\)
0.505925 0.862577i \(-0.331151\pi\)
\(744\) 1.90347 6.83157i 0.0697845 0.250458i
\(745\) 12.4978 + 7.21562i 0.457884 + 0.264360i
\(746\) −24.5787 6.58584i −0.899890 0.241125i
\(747\) −8.23378 8.56772i −0.301258 0.313477i
\(748\) −1.91241 0.512428i −0.0699245 0.0187362i
\(749\) −11.2008 13.0224i −0.409267 0.475828i
\(750\) 20.3081 + 5.65840i 0.741546 + 0.206615i
\(751\) 40.6036 23.4425i 1.48165 0.855430i 0.481865 0.876246i \(-0.339960\pi\)
0.999783 + 0.0208160i \(0.00662640\pi\)
\(752\) −6.89222 6.89222i −0.251333 0.251333i
\(753\) −10.2218 2.84807i −0.372502 0.103789i
\(754\) −7.83661 9.69537i −0.285393 0.353085i
\(755\) 18.2112i 0.662772i
\(756\) 12.5600 5.58981i 0.456803 0.203299i
\(757\) −2.02231 + 3.50275i −0.0735022 + 0.127309i −0.900434 0.434993i \(-0.856751\pi\)
0.826932 + 0.562302i \(0.190084\pi\)
\(758\) 12.5145 0.454547
\(759\) −30.6894 54.3968i −1.11396 1.97448i
\(760\) 2.33271 0.625049i 0.0846165 0.0226729i
\(761\) −7.31358 7.31358i −0.265117 0.265117i 0.562012 0.827129i \(-0.310028\pi\)
−0.827129 + 0.562012i \(0.810028\pi\)
\(762\) −3.72110 0.0369760i −0.134801 0.00133950i
\(763\) 26.3841 + 1.98415i 0.955170 + 0.0718312i
\(764\) 0.279541 0.484179i 0.0101134 0.0175170i
\(765\) −0.716975 + 2.47775i −0.0259223 + 0.0895831i
\(766\) −8.36796 + 4.83125i −0.302347 + 0.174560i
\(767\) 29.2418 4.60427i 1.05586 0.166251i
\(768\) −0.431642 1.67740i −0.0155755 0.0605281i
\(769\) −5.89522 + 1.57962i −0.212587 + 0.0569625i −0.363541 0.931578i \(-0.618432\pi\)
0.150954 + 0.988541i \(0.451766\pi\)
\(770\) 16.8637 + 11.5039i 0.607726 + 0.414573i
\(771\) 14.8557 + 4.13921i 0.535015 + 0.149070i
\(772\) 12.8958 3.45542i 0.464130 0.124363i
\(773\) −6.99903 26.1207i −0.251738 0.939498i −0.969876 0.243598i \(-0.921672\pi\)
0.718139 0.695900i \(-0.244994\pi\)
\(774\) −8.37365 33.9345i