Properties

Label 546.2.bw.a.11.15
Level $546$
Weight $2$
Character 546.11
Analytic conductor $4.360$
Analytic rank $0$
Dimension $152$
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.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 11.15
Character \(\chi\) \(=\) 546.11
Dual form 546.2.bw.a.149.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.00636 + 1.40969i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(3.29330 + 0.882438i) q^{5} +(1.10119 - 1.33693i) q^{6} +(2.64105 - 0.157578i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.974462 + 2.83733i) q^{9} +O(q^{10})\) \(q+(-0.258819 - 0.965926i) q^{2} +(1.00636 + 1.40969i) q^{3} +(-0.866025 + 0.500000i) q^{4} +(3.29330 + 0.882438i) q^{5} +(1.10119 - 1.33693i) q^{6} +(2.64105 - 0.157578i) q^{7} +(0.707107 + 0.707107i) q^{8} +(-0.974462 + 2.83733i) q^{9} -3.40948i q^{10} +(-1.92456 - 1.92456i) q^{11} +(-1.57638 - 0.717647i) q^{12} +(0.963919 - 3.47431i) q^{13} +(-0.835764 - 2.51028i) q^{14} +(2.07030 + 5.53060i) q^{15} +(0.500000 - 0.866025i) q^{16} +(2.69264 + 4.66378i) q^{17} +(2.99286 + 0.206904i) q^{18} +(-4.12264 - 4.12264i) q^{19} +(-3.29330 + 0.882438i) q^{20} +(2.88000 + 3.56449i) q^{21} +(-1.36087 + 2.35709i) q^{22} +(-0.872301 + 1.51087i) q^{23} +(-0.285196 + 1.70841i) q^{24} +(5.73702 + 3.31227i) q^{25} +(-3.60541 - 0.0318558i) q^{26} +(-4.98042 + 1.48169i) q^{27} +(-2.20843 + 1.45699i) q^{28} +(-7.19866 + 4.15615i) q^{29} +(4.80631 - 3.43118i) q^{30} +(-1.12797 + 0.302238i) q^{31} +(-0.965926 - 0.258819i) q^{32} +(0.776227 - 4.64984i) q^{33} +(3.80796 - 3.80796i) q^{34} +(8.83685 + 1.81161i) q^{35} +(-0.574755 - 2.94443i) q^{36} +(-1.22692 - 4.57894i) q^{37} +(-2.91515 + 5.04918i) q^{38} +(5.86777 - 2.13760i) q^{39} +(1.70474 + 2.95270i) q^{40} +(-1.36866 - 0.366731i) q^{41} +(2.69764 - 3.70442i) q^{42} +(8.98015 + 5.18469i) q^{43} +(2.62899 + 0.704437i) q^{44} +(-5.71296 + 8.48428i) q^{45} +(1.68516 + 0.451536i) q^{46} +(3.34090 - 12.4684i) q^{47} +(1.72401 - 0.166691i) q^{48} +(6.95034 - 0.832346i) q^{49} +(1.71456 - 6.39882i) q^{50} +(-3.86472 + 8.48925i) q^{51} +(0.902379 + 3.49080i) q^{52} +(3.31796 + 1.91563i) q^{53} +(2.72023 + 4.42723i) q^{54} +(-4.63985 - 8.03645i) q^{55} +(1.97893 + 1.75608i) q^{56} +(1.66277 - 9.96053i) q^{57} +(5.87768 + 5.87768i) q^{58} +(0.128146 - 0.478248i) q^{59} +(-4.55823 - 3.75449i) q^{60} -12.2439 q^{61} +(0.583879 + 1.01131i) q^{62} +(-2.12651 + 7.64709i) q^{63} +1.00000i q^{64} +(6.24035 - 10.5914i) q^{65} +(-4.69230 + 0.453689i) q^{66} +(0.400365 + 0.400365i) q^{67} +(-4.66378 - 2.69264i) q^{68} +(-3.00771 + 0.290810i) q^{69} +(-0.537260 - 9.00462i) q^{70} +(-2.45699 - 9.16961i) q^{71} +(-2.69534 + 1.31724i) q^{72} +(3.53850 + 13.2059i) q^{73} +(-4.10537 + 2.37023i) q^{74} +(1.10425 + 11.4208i) q^{75} +(5.63163 + 1.50899i) q^{76} +(-5.38613 - 4.77959i) q^{77} +(-3.58345 - 5.11458i) q^{78} +(-0.696028 - 1.20556i) q^{79} +(2.41087 - 2.41087i) q^{80} +(-7.10085 - 5.52973i) q^{81} +1.41694i q^{82} +(-2.65022 + 2.65022i) q^{83} +(-4.27640 - 1.64694i) q^{84} +(4.75217 + 17.7353i) q^{85} +(2.68379 - 10.0161i) q^{86} +(-13.1034 - 5.96529i) q^{87} -2.72173i q^{88} +(-13.2538 + 3.55134i) q^{89} +(9.67381 + 3.32241i) q^{90} +(1.99829 - 9.32775i) q^{91} -1.74460i q^{92} +(-1.56121 - 1.28593i) q^{93} -12.9082 q^{94} +(-9.93913 - 17.2151i) q^{95} +(-0.607218 - 1.62212i) q^{96} +(12.8615 - 3.44622i) q^{97} +(-2.60286 - 6.49808i) q^{98} +(7.33601 - 3.58519i) 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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 0.965926i −0.183013 0.683013i
\(3\) 1.00636 + 1.40969i 0.581025 + 0.813886i
\(4\) −0.866025 + 0.500000i −0.433013 + 0.250000i
\(5\) 3.29330 + 0.882438i 1.47281 + 0.394638i 0.903894 0.427757i \(-0.140696\pi\)
0.568916 + 0.822395i \(0.307363\pi\)
\(6\) 1.10119 1.33693i 0.449560 0.545799i
\(7\) 2.64105 0.157578i 0.998225 0.0595590i
\(8\) 0.707107 + 0.707107i 0.250000 + 0.250000i
\(9\) −0.974462 + 2.83733i −0.324821 + 0.945776i
\(10\) 3.40948i 1.07817i
\(11\) −1.92456 1.92456i −0.580276 0.580276i 0.354703 0.934979i \(-0.384582\pi\)
−0.934979 + 0.354703i \(0.884582\pi\)
\(12\) −1.57638 0.717647i −0.455063 0.207167i
\(13\) 0.963919 3.47431i 0.267343 0.963601i
\(14\) −0.835764 2.51028i −0.223367 0.670900i
\(15\) 2.07030 + 5.53060i 0.534549 + 1.42799i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 2.69264 + 4.66378i 0.653060 + 1.13113i 0.982376 + 0.186913i \(0.0598484\pi\)
−0.329316 + 0.944220i \(0.606818\pi\)
\(18\) 2.99286 + 0.206904i 0.705423 + 0.0487676i
\(19\) −4.12264 4.12264i −0.945798 0.945798i 0.0528065 0.998605i \(-0.483183\pi\)
−0.998605 + 0.0528065i \(0.983183\pi\)
\(20\) −3.29330 + 0.882438i −0.736405 + 0.197319i
\(21\) 2.88000 + 3.56449i 0.628468 + 0.777836i
\(22\) −1.36087 + 2.35709i −0.290138 + 0.502534i
\(23\) −0.872301 + 1.51087i −0.181887 + 0.315038i −0.942523 0.334141i \(-0.891554\pi\)
0.760636 + 0.649179i \(0.224887\pi\)
\(24\) −0.285196 + 1.70841i −0.0582153 + 0.348728i
\(25\) 5.73702 + 3.31227i 1.14740 + 0.662455i
\(26\) −3.60541 0.0318558i −0.707079 0.00624744i
\(27\) −4.98042 + 1.48169i −0.958482 + 0.285152i
\(28\) −2.20843 + 1.45699i −0.417354 + 0.275346i
\(29\) −7.19866 + 4.15615i −1.33676 + 0.771778i −0.986325 0.164810i \(-0.947299\pi\)
−0.350433 + 0.936588i \(0.613965\pi\)
\(30\) 4.80631 3.43118i 0.877509 0.626444i
\(31\) −1.12797 + 0.302238i −0.202589 + 0.0542836i −0.358687 0.933458i \(-0.616775\pi\)
0.156097 + 0.987742i \(0.450109\pi\)
\(32\) −0.965926 0.258819i −0.170753 0.0457532i
\(33\) 0.776227 4.64984i 0.135124 0.809433i
\(34\) 3.80796 3.80796i 0.653060 0.653060i
\(35\) 8.83685 + 1.81161i 1.49370 + 0.306219i
\(36\) −0.574755 2.94443i −0.0957925 0.490738i
\(37\) −1.22692 4.57894i −0.201705 0.752773i −0.990429 0.138025i \(-0.955924\pi\)
0.788724 0.614748i \(-0.210742\pi\)
\(38\) −2.91515 + 5.04918i −0.472899 + 0.819085i
\(39\) 5.86777 2.13760i 0.939595 0.342289i
\(40\) 1.70474 + 2.95270i 0.269543 + 0.466862i
\(41\) −1.36866 0.366731i −0.213749 0.0572738i 0.150356 0.988632i \(-0.451958\pi\)
−0.364104 + 0.931358i \(0.618625\pi\)
\(42\) 2.69764 3.70442i 0.416254 0.571605i
\(43\) 8.98015 + 5.18469i 1.36946 + 0.790658i 0.990859 0.134902i \(-0.0430719\pi\)
0.378601 + 0.925560i \(0.376405\pi\)
\(44\) 2.62899 + 0.704437i 0.396336 + 0.106198i
\(45\) −5.71296 + 8.48428i −0.851638 + 1.26476i
\(46\) 1.68516 + 0.451536i 0.248463 + 0.0665754i
\(47\) 3.34090 12.4684i 0.487320 1.81870i −0.0820570 0.996628i \(-0.526149\pi\)
0.569377 0.822076i \(-0.307184\pi\)
\(48\) 1.72401 0.166691i 0.248840 0.0240598i
\(49\) 6.95034 0.832346i 0.992905 0.118907i
\(50\) 1.71456 6.39882i 0.242475 0.904930i
\(51\) −3.86472 + 8.48925i −0.541169 + 1.18873i
\(52\) 0.902379 + 3.49080i 0.125137 + 0.484087i
\(53\) 3.31796 + 1.91563i 0.455757 + 0.263131i 0.710259 0.703941i \(-0.248578\pi\)
−0.254501 + 0.967072i \(0.581911\pi\)
\(54\) 2.72023 + 4.42723i 0.370177 + 0.602469i
\(55\) −4.63985 8.03645i −0.625637 1.08364i
\(56\) 1.97893 + 1.75608i 0.264446 + 0.234666i
\(57\) 1.66277 9.96053i 0.220240 1.31930i
\(58\) 5.87768 + 5.87768i 0.771778 + 0.771778i
\(59\) 0.128146 0.478248i 0.0166832 0.0622626i −0.957082 0.289816i \(-0.906406\pi\)
0.973766 + 0.227553i \(0.0730726\pi\)
\(60\) −4.55823 3.75449i −0.588465 0.484702i
\(61\) −12.2439 −1.56767 −0.783837 0.620966i \(-0.786740\pi\)
−0.783837 + 0.620966i \(0.786740\pi\)
\(62\) 0.583879 + 1.01131i 0.0741528 + 0.128436i
\(63\) −2.12651 + 7.64709i −0.267914 + 0.963443i
\(64\) 1.00000i 0.125000i
\(65\) 6.24035 10.5914i 0.774020 1.31370i
\(66\) −4.69230 + 0.453689i −0.577582 + 0.0558453i
\(67\) 0.400365 + 0.400365i 0.0489124 + 0.0489124i 0.731140 0.682228i \(-0.238989\pi\)
−0.682228 + 0.731140i \(0.738989\pi\)
\(68\) −4.66378 2.69264i −0.565566 0.326530i
\(69\) −3.00771 + 0.290810i −0.362086 + 0.0350094i
\(70\) −0.537260 9.00462i −0.0642149 1.07626i
\(71\) −2.45699 9.16961i −0.291591 1.08823i −0.943887 0.330268i \(-0.892861\pi\)
0.652296 0.757964i \(-0.273806\pi\)
\(72\) −2.69534 + 1.31724i −0.317649 + 0.155239i
\(73\) 3.53850 + 13.2059i 0.414150 + 1.54563i 0.786531 + 0.617550i \(0.211875\pi\)
−0.372381 + 0.928080i \(0.621459\pi\)
\(74\) −4.10537 + 2.37023i −0.477239 + 0.275534i
\(75\) 1.10425 + 11.4208i 0.127508 + 1.31876i
\(76\) 5.63163 + 1.50899i 0.645992 + 0.173093i
\(77\) −5.38613 4.77959i −0.613806 0.544685i
\(78\) −3.58345 5.11458i −0.405746 0.579112i
\(79\) −0.696028 1.20556i −0.0783093 0.135636i 0.824211 0.566282i \(-0.191619\pi\)
−0.902521 + 0.430647i \(0.858285\pi\)
\(80\) 2.41087 2.41087i 0.269543 0.269543i
\(81\) −7.10085 5.52973i −0.788983 0.614415i
\(82\) 1.41694i 0.156475i
\(83\) −2.65022 + 2.65022i −0.290900 + 0.290900i −0.837436 0.546536i \(-0.815946\pi\)
0.546536 + 0.837436i \(0.315946\pi\)
\(84\) −4.27640 1.64694i −0.466593 0.179696i
\(85\) 4.75217 + 17.7353i 0.515445 + 1.92367i
\(86\) 2.68379 10.0161i 0.289401 1.08006i
\(87\) −13.1034 5.96529i −1.40483 0.639547i
\(88\) 2.72173i 0.290138i
\(89\) −13.2538 + 3.55134i −1.40490 + 0.376441i −0.880101 0.474786i \(-0.842525\pi\)
−0.524797 + 0.851227i \(0.675859\pi\)
\(90\) 9.67381 + 3.32241i 1.01971 + 0.350212i
\(91\) 1.99829 9.32775i 0.209477 0.977813i
\(92\) 1.74460i 0.181887i
\(93\) −1.56121 1.28593i −0.161890 0.133344i
\(94\) −12.9082 −1.33138
\(95\) −9.93913 17.2151i −1.01973 1.76623i
\(96\) −0.607218 1.62212i −0.0619739 0.165557i
\(97\) 12.8615 3.44622i 1.30588 0.349910i 0.462211 0.886770i \(-0.347056\pi\)
0.843671 + 0.536860i \(0.180390\pi\)
\(98\) −2.60286 6.49808i −0.262929 0.656406i
\(99\) 7.33601 3.58519i 0.737296 0.360325i
\(100\) −6.62455 −0.662455
\(101\) 2.01431 0.200431 0.100216 0.994966i \(-0.468047\pi\)
0.100216 + 0.994966i \(0.468047\pi\)
\(102\) 9.20025 + 1.53586i 0.910960 + 0.152072i
\(103\) 5.43794 3.13960i 0.535817 0.309354i −0.207565 0.978221i \(-0.566554\pi\)
0.743382 + 0.668867i \(0.233221\pi\)
\(104\) 3.13831 1.77512i 0.307736 0.174065i
\(105\) 6.33927 + 14.2804i 0.618650 + 1.39362i
\(106\) 0.991601 3.70071i 0.0963128 0.359444i
\(107\) −14.6983 8.48605i −1.42094 0.820377i −0.424556 0.905401i \(-0.639570\pi\)
−0.996379 + 0.0850240i \(0.972903\pi\)
\(108\) 3.57232 3.77339i 0.343747 0.363095i
\(109\) −10.5475 + 2.82619i −1.01026 + 0.270700i −0.725740 0.687969i \(-0.758502\pi\)
−0.284525 + 0.958669i \(0.591836\pi\)
\(110\) −6.56174 + 6.56174i −0.625637 + 0.625637i
\(111\) 5.22016 6.33767i 0.495476 0.601545i
\(112\) 1.18406 2.36601i 0.111883 0.223567i
\(113\) 8.61977 + 4.97663i 0.810880 + 0.468162i 0.847261 0.531176i \(-0.178250\pi\)
−0.0363813 + 0.999338i \(0.511583\pi\)
\(114\) −10.0515 + 0.971858i −0.941408 + 0.0910229i
\(115\) −4.20600 + 4.20600i −0.392212 + 0.392212i
\(116\) 4.15615 7.19866i 0.385889 0.668379i
\(117\) 8.91846 + 6.12054i 0.824512 + 0.565844i
\(118\) −0.495119 −0.0455794
\(119\) 7.84631 + 11.8930i 0.719270 + 1.09023i
\(120\) −2.44680 + 5.37464i −0.223361 + 0.490636i
\(121\) 3.59216i 0.326560i
\(122\) 3.16896 + 11.8267i 0.286904 + 1.07074i
\(123\) −0.860392 2.29845i −0.0775790 0.207245i
\(124\) 0.825730 0.825730i 0.0741528 0.0741528i
\(125\) 3.91656 + 3.91656i 0.350308 + 0.350308i
\(126\) 7.93690 + 0.0748341i 0.707075 + 0.00666675i
\(127\) −12.6251 + 7.28911i −1.12030 + 0.646804i −0.941477 0.337078i \(-0.890561\pi\)
−0.178821 + 0.983882i \(0.557228\pi\)
\(128\) 0.965926 0.258819i 0.0853766 0.0228766i
\(129\) 1.72848 + 17.8769i 0.152185 + 1.57398i
\(130\) −11.8456 3.28646i −1.03893 0.288242i
\(131\) −5.27411 + 3.04501i −0.460801 + 0.266043i −0.712381 0.701793i \(-0.752383\pi\)
0.251580 + 0.967836i \(0.419050\pi\)
\(132\) 1.65269 + 4.41499i 0.143848 + 0.384276i
\(133\) −11.5378 10.2385i −1.00045 0.887788i
\(134\) 0.283101 0.490345i 0.0244562 0.0423594i
\(135\) −17.7095 + 0.484755i −1.52419 + 0.0417211i
\(136\) −1.39381 + 5.20177i −0.119518 + 0.446048i
\(137\) −2.64173 + 9.85908i −0.225699 + 0.842318i 0.756425 + 0.654080i \(0.226944\pi\)
−0.982123 + 0.188238i \(0.939722\pi\)
\(138\) 1.05935 + 2.82996i 0.0901782 + 0.240902i
\(139\) 1.74467 3.02186i 0.147981 0.256311i −0.782500 0.622651i \(-0.786056\pi\)
0.930481 + 0.366340i \(0.119389\pi\)
\(140\) −8.55874 + 2.84952i −0.723346 + 0.240828i
\(141\) 20.9388 7.83812i 1.76336 0.660089i
\(142\) −8.22125 + 4.74654i −0.689912 + 0.398321i
\(143\) −8.54163 + 4.83140i −0.714287 + 0.404022i
\(144\) 1.96997 + 2.26257i 0.164164 + 0.188548i
\(145\) −27.3749 + 7.33509i −2.27336 + 0.609146i
\(146\) 11.8401 6.83586i 0.979890 0.565740i
\(147\) 8.16792 + 8.96019i 0.673679 + 0.739024i
\(148\) 3.35202 + 3.35202i 0.275534 + 0.275534i
\(149\) 3.55240 3.55240i 0.291024 0.291024i −0.546461 0.837485i \(-0.684025\pi\)
0.837485 + 0.546461i \(0.184025\pi\)
\(150\) 10.7458 4.02254i 0.877394 0.328439i
\(151\) 1.30747 + 4.87954i 0.106400 + 0.397092i 0.998500 0.0547466i \(-0.0174351\pi\)
−0.892100 + 0.451838i \(0.850768\pi\)
\(152\) 5.83029i 0.472899i
\(153\) −15.8565 + 3.09521i −1.28193 + 0.250233i
\(154\) −3.22270 + 6.43965i −0.259692 + 0.518922i
\(155\) −3.98145 −0.319798
\(156\) −4.01284 + 4.78510i −0.321284 + 0.383114i
\(157\) −2.10143 + 3.63978i −0.167712 + 0.290486i −0.937615 0.347675i \(-0.886971\pi\)
0.769903 + 0.638161i \(0.220305\pi\)
\(158\) −0.984332 + 0.984332i −0.0783093 + 0.0783093i
\(159\) 0.638636 + 6.60512i 0.0506471 + 0.523820i
\(160\) −2.95270 1.70474i −0.233431 0.134771i
\(161\) −2.06571 + 4.12774i −0.162801 + 0.325312i
\(162\) −3.50348 + 8.29009i −0.275259 + 0.651331i
\(163\) 10.9233 10.9233i 0.855581 0.855581i −0.135233 0.990814i \(-0.543178\pi\)
0.990814 + 0.135233i \(0.0431783\pi\)
\(164\) 1.36866 0.366731i 0.106874 0.0286369i
\(165\) 6.65954 14.6284i 0.518445 1.13882i
\(166\) 3.24585 + 1.87399i 0.251926 + 0.145450i
\(167\) 2.99314 11.1706i 0.231617 0.864405i −0.748028 0.663667i \(-0.768999\pi\)
0.979645 0.200738i \(-0.0643340\pi\)
\(168\) −0.484009 + 4.55694i −0.0373421 + 0.351576i
\(169\) −11.1417 6.69792i −0.857055 0.515224i
\(170\) 15.9011 9.18048i 1.21956 0.704111i
\(171\) 15.7146 7.67992i 1.20173 0.587298i
\(172\) −10.3694 −0.790658
\(173\) 6.85345 0.521058 0.260529 0.965466i \(-0.416103\pi\)
0.260529 + 0.965466i \(0.416103\pi\)
\(174\) −2.37063 + 14.2008i −0.179717 + 1.07656i
\(175\) 15.6737 + 7.84386i 1.18482 + 0.592940i
\(176\) −2.62899 + 0.704437i −0.198168 + 0.0530989i
\(177\) 0.803144 0.300645i 0.0603680 0.0225979i
\(178\) 6.86066 + 11.8830i 0.514229 + 0.890670i
\(179\) 2.70761 0.202376 0.101188 0.994867i \(-0.467736\pi\)
0.101188 + 0.994867i \(0.467736\pi\)
\(180\) 0.705433 10.2041i 0.0525799 0.760567i
\(181\) 11.5327i 0.857219i −0.903490 0.428610i \(-0.859004\pi\)
0.903490 0.428610i \(-0.140996\pi\)
\(182\) −9.52711 + 0.484002i −0.706196 + 0.0358766i
\(183\) −12.3219 17.2602i −0.910858 1.27591i
\(184\) −1.68516 + 0.451536i −0.124231 + 0.0332877i
\(185\) 16.1625i 1.18829i
\(186\) −0.838038 + 1.84084i −0.0614480 + 0.134977i
\(187\) 3.79358 14.1578i 0.277414 1.03532i
\(188\) 3.34090 + 12.4684i 0.243660 + 0.909352i
\(189\) −12.9201 + 4.69804i −0.939797 + 0.341732i
\(190\) −14.0560 + 14.0560i −1.01973 + 1.01973i
\(191\) 6.71906i 0.486174i −0.970004 0.243087i \(-0.921840\pi\)
0.970004 0.243087i \(-0.0781601\pi\)
\(192\) −1.40969 + 1.00636i −0.101736 + 0.0726281i
\(193\) −0.687259 + 0.687259i −0.0494700 + 0.0494700i −0.731409 0.681939i \(-0.761137\pi\)
0.681939 + 0.731409i \(0.261137\pi\)
\(194\) −6.65758 11.5313i −0.477986 0.827896i
\(195\) 21.2106 1.86181i 1.51892 0.133327i
\(196\) −5.60300 + 4.19600i −0.400214 + 0.299714i
\(197\) −9.98319 2.67499i −0.711272 0.190585i −0.114998 0.993366i \(-0.536686\pi\)
−0.596274 + 0.802781i \(0.703353\pi\)
\(198\) −5.36173 6.15812i −0.381041 0.437639i
\(199\) 6.18891 3.57317i 0.438720 0.253295i −0.264334 0.964431i \(-0.585152\pi\)
0.703055 + 0.711136i \(0.251819\pi\)
\(200\) 1.71456 + 6.39882i 0.121238 + 0.452465i
\(201\) −0.161478 + 0.967305i −0.0113898 + 0.0682285i
\(202\) −0.521342 1.94567i −0.0366815 0.136897i
\(203\) −18.3571 + 12.1110i −1.28842 + 0.850024i
\(204\) −0.897677 9.28427i −0.0628500 0.650029i
\(205\) −4.18380 2.41552i −0.292209 0.168707i
\(206\) −4.44006 4.44006i −0.309354 0.309354i
\(207\) −3.43681 3.94729i −0.238875 0.274355i
\(208\) −2.52688 2.57194i −0.175208 0.178332i
\(209\) 15.8685i 1.09765i
\(210\) 12.1531 9.81930i 0.838641 0.677596i
\(211\) −4.55240 7.88500i −0.313400 0.542826i 0.665696 0.746223i \(-0.268135\pi\)
−0.979096 + 0.203398i \(0.934802\pi\)
\(212\) −3.83125 −0.263131
\(213\) 10.4537 12.6916i 0.716275 0.869612i
\(214\) −4.39270 + 16.3938i −0.300279 + 1.12066i
\(215\) 24.9992 + 24.9992i 1.70493 + 1.70493i
\(216\) −4.56940 2.47397i −0.310909 0.168333i
\(217\) −2.93140 + 0.975971i −0.198996 + 0.0662532i
\(218\) 5.45977 + 9.45660i 0.369782 + 0.640482i
\(219\) −15.0552 + 18.2781i −1.01734 + 1.23512i
\(220\) 8.03645 + 4.63985i 0.541818 + 0.312819i
\(221\) 18.7989 4.85955i 1.26455 0.326889i
\(222\) −7.47279 3.40198i −0.501541 0.228326i
\(223\) 0.0908711 0.339136i 0.00608518 0.0227102i −0.962816 0.270156i \(-0.912925\pi\)
0.968902 + 0.247446i \(0.0795913\pi\)
\(224\) −2.59185 0.531346i −0.173175 0.0355021i
\(225\) −14.9885 + 13.0501i −0.999234 + 0.870009i
\(226\) 2.57609 9.61411i 0.171359 0.639521i
\(227\) −11.4203 3.06006i −0.757991 0.203103i −0.140931 0.990019i \(-0.545010\pi\)
−0.617060 + 0.786916i \(0.711676\pi\)
\(228\) 3.54026 + 9.45746i 0.234459 + 0.626335i
\(229\) 20.4461 + 5.47851i 1.35112 + 0.362030i 0.860547 0.509372i \(-0.170122\pi\)
0.490569 + 0.871402i \(0.336789\pi\)
\(230\) 5.15128 + 2.97409i 0.339665 + 0.196106i
\(231\) 1.31734 12.4028i 0.0866748 0.816044i
\(232\) −8.02906 2.15138i −0.527134 0.141245i
\(233\) 8.24057 + 14.2731i 0.539857 + 0.935060i 0.998911 + 0.0466520i \(0.0148552\pi\)
−0.459054 + 0.888408i \(0.651811\pi\)
\(234\) 3.60372 10.1987i 0.235583 0.666709i
\(235\) 22.0052 38.1141i 1.43546 2.48629i
\(236\) 0.128146 + 0.478248i 0.00834160 + 0.0311313i
\(237\) 0.999004 2.19441i 0.0648923 0.142542i
\(238\) 9.45698 10.6571i 0.613005 0.690796i
\(239\) 2.67571 2.67571i 0.173077 0.173077i −0.615253 0.788330i \(-0.710946\pi\)
0.788330 + 0.615253i \(0.210946\pi\)
\(240\) 5.82479 + 0.972368i 0.375988 + 0.0627661i
\(241\) 10.7977 + 2.89323i 0.695539 + 0.186369i 0.589232 0.807964i \(-0.299431\pi\)
0.106307 + 0.994333i \(0.466097\pi\)
\(242\) −3.46976 + 0.929719i −0.223045 + 0.0597646i
\(243\) 0.649179 15.5749i 0.0416449 0.999132i
\(244\) 10.6036 6.12196i 0.678823 0.391919i
\(245\) 23.6241 + 3.39207i 1.50929 + 0.216712i
\(246\) −1.99745 + 1.42596i −0.127353 + 0.0909158i
\(247\) −18.2972 + 10.3495i −1.16423 + 0.658520i
\(248\) −1.01131 0.583879i −0.0642182 0.0370764i
\(249\) −6.40308 1.06891i −0.405779 0.0677392i
\(250\) 2.76943 4.79679i 0.175154 0.303375i
\(251\) −14.3537 + 24.8613i −0.905996 + 1.56923i −0.0864221 + 0.996259i \(0.527543\pi\)
−0.819574 + 0.572973i \(0.805790\pi\)
\(252\) −1.98194 7.68583i −0.124850 0.484162i
\(253\) 4.58655 1.22896i 0.288354 0.0772642i
\(254\) 10.3084 + 10.3084i 0.646804 + 0.646804i
\(255\) −20.2189 + 24.5473i −1.26616 + 1.53721i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 11.6714 20.2155i 0.728044 1.26101i −0.229665 0.973270i \(-0.573763\pi\)
0.957709 0.287739i \(-0.0929036\pi\)
\(258\) 16.8204 6.29648i 1.04719 0.392002i
\(259\) −3.96191 11.8999i −0.246181 0.739423i
\(260\) −0.108612 + 12.2926i −0.00673582 + 0.762353i
\(261\) −4.77753 24.4750i −0.295722 1.51496i
\(262\) 4.30629 + 4.30629i 0.266043 + 0.266043i
\(263\) 0.844931i 0.0521007i −0.999661 0.0260503i \(-0.991707\pi\)
0.999661 0.0260503i \(-0.00829302\pi\)
\(264\) 3.83681 2.73906i 0.236139 0.168577i
\(265\) 9.23663 + 9.23663i 0.567402 + 0.567402i
\(266\) −6.90342 + 13.7945i −0.423276 + 0.845797i
\(267\) −18.3444 15.1098i −1.12266 0.924705i
\(268\) −0.546909 0.146544i −0.0334078 0.00895159i
\(269\) −4.06872 + 2.34908i −0.248074 + 0.143226i −0.618882 0.785484i \(-0.712414\pi\)
0.370808 + 0.928710i \(0.379081\pi\)
\(270\) 5.05180 + 16.9806i 0.307443 + 1.03341i
\(271\) 3.18762 + 11.8964i 0.193634 + 0.722653i 0.992616 + 0.121298i \(0.0387057\pi\)
−0.798982 + 0.601355i \(0.794628\pi\)
\(272\) 5.38527 0.326530
\(273\) 15.1603 6.57014i 0.917540 0.397643i
\(274\) 10.2069 0.616620
\(275\) −4.66657 17.4159i −0.281405 1.05022i
\(276\) 2.45935 1.75570i 0.148036 0.105681i
\(277\) 17.7849 10.2681i 1.06859 0.616952i 0.140796 0.990039i \(-0.455034\pi\)
0.927796 + 0.373087i \(0.121701\pi\)
\(278\) −3.37045 0.903109i −0.202146 0.0541649i
\(279\) 0.241613 3.49494i 0.0144650 0.209236i
\(280\) 4.96759 + 7.52960i 0.296870 + 0.449980i
\(281\) −4.81731 4.81731i −0.287377 0.287377i 0.548665 0.836042i \(-0.315136\pi\)
−0.836042 + 0.548665i \(0.815136\pi\)
\(282\) −12.9904 18.1966i −0.773567 1.08359i
\(283\) 11.7992i 0.701390i −0.936490 0.350695i \(-0.885945\pi\)
0.936490 0.350695i \(-0.114055\pi\)
\(284\) 6.71262 + 6.71262i 0.398321 + 0.398321i
\(285\) 14.2656 31.3357i 0.845019 1.85617i
\(286\) 6.87751 + 7.00013i 0.406676 + 0.413926i
\(287\) −3.67249 0.752886i −0.216781 0.0444415i
\(288\) 1.67561 2.48844i 0.0987364 0.146633i
\(289\) −6.00057 + 10.3933i −0.352975 + 0.611370i
\(290\) 14.1703 + 24.5437i 0.832109 + 1.44125i
\(291\) 17.8014 + 14.6625i 1.04354 + 0.859533i
\(292\) −9.66737 9.66737i −0.565740 0.565740i
\(293\) −11.5266 + 3.08854i −0.673390 + 0.180434i −0.579281 0.815128i \(-0.696667\pi\)
−0.0941084 + 0.995562i \(0.530000\pi\)
\(294\) 6.54087 10.2087i 0.381471 0.595382i
\(295\) 0.844048 1.46193i 0.0491424 0.0851171i
\(296\) 2.37023 4.10537i 0.137767 0.238619i
\(297\) 12.4367 + 6.73350i 0.721651 + 0.390717i
\(298\) −4.35078 2.51193i −0.252034 0.145512i
\(299\) 4.40841 + 4.48700i 0.254945 + 0.259490i
\(300\) −6.66671 9.33857i −0.384902 0.539162i
\(301\) 24.5341 + 12.2780i 1.41412 + 0.707691i
\(302\) 4.37488 2.52584i 0.251746 0.145346i
\(303\) 2.02713 + 2.83956i 0.116456 + 0.163128i
\(304\) −5.63163 + 1.50899i −0.322996 + 0.0865465i
\(305\) −40.3230 10.8045i −2.30889 0.618664i
\(306\) 7.09372 + 14.5151i 0.405521 + 0.829776i
\(307\) −10.9388 + 10.9388i −0.624311 + 0.624311i −0.946631 0.322320i \(-0.895537\pi\)
0.322320 + 0.946631i \(0.395537\pi\)
\(308\) 7.05432 + 1.44618i 0.401957 + 0.0824040i
\(309\) 9.89842 + 4.50624i 0.563101 + 0.256351i
\(310\) 1.03047 + 3.84578i 0.0585270 + 0.218426i
\(311\) −4.19822 + 7.27152i −0.238059 + 0.412330i −0.960157 0.279460i \(-0.909844\pi\)
0.722098 + 0.691790i \(0.243178\pi\)
\(312\) 5.66065 + 2.63763i 0.320471 + 0.149326i
\(313\) 16.4060 + 28.4160i 0.927321 + 1.60617i 0.787785 + 0.615950i \(0.211228\pi\)
0.139536 + 0.990217i \(0.455439\pi\)
\(314\) 4.05965 + 1.08778i 0.229099 + 0.0613870i
\(315\) −13.7513 + 23.3077i −0.774799 + 1.31324i
\(316\) 1.20556 + 0.696028i 0.0678178 + 0.0391546i
\(317\) 29.1781 + 7.81826i 1.63881 + 0.439117i 0.956449 0.291900i \(-0.0942875\pi\)
0.682359 + 0.731017i \(0.260954\pi\)
\(318\) 6.21477 2.32641i 0.348507 0.130458i
\(319\) 21.8530 + 5.85549i 1.22353 + 0.327844i
\(320\) −0.882438 + 3.29330i −0.0493298 + 0.184101i
\(321\) −2.82910 29.2601i −0.157905 1.63314i
\(322\) 4.52174 + 0.926987i 0.251987 + 0.0516590i
\(323\) 8.12632 30.3278i 0.452161 1.68749i
\(324\) 8.91438 + 1.23847i 0.495243 + 0.0688036i
\(325\) 17.0379 16.7395i 0.945093 0.928538i
\(326\) −13.3783 7.72396i −0.740955 0.427790i
\(327\) −14.5987 12.0245i −0.807307 0.664957i
\(328\) −0.708471 1.22711i −0.0391187 0.0677557i
\(329\) 6.85875 33.4562i 0.378135 1.84450i
\(330\) −15.8535 2.64653i −0.872708 0.145687i
\(331\) −1.47464 1.47464i −0.0810536 0.0810536i 0.665418 0.746471i \(-0.268253\pi\)
−0.746471 + 0.665418i \(0.768253\pi\)
\(332\) 0.970048 3.62027i 0.0532383 0.198688i
\(333\) 14.1875 + 0.980820i 0.777472 + 0.0537486i
\(334\) −11.5646 −0.632788
\(335\) 0.965227 + 1.67182i 0.0527360 + 0.0913414i
\(336\) 4.52694 0.711907i 0.246965 0.0388377i
\(337\) 5.06430i 0.275870i −0.990441 0.137935i \(-0.955953\pi\)
0.990441 0.137935i \(-0.0440465\pi\)
\(338\) −3.58600 + 12.4956i −0.195053 + 0.679672i
\(339\) 1.65912 + 17.1595i 0.0901110 + 0.931978i
\(340\) −12.9832 12.9832i −0.704111 0.704111i
\(341\) 2.75251 + 1.58917i 0.149057 + 0.0860581i
\(342\) −11.4855 13.1915i −0.621064 0.713312i
\(343\) 18.2251 3.29349i 0.984061 0.177832i
\(344\) 2.68379 + 10.0161i 0.144700 + 0.540030i
\(345\) −10.1619 1.69640i −0.547100 0.0913309i
\(346\) −1.77380 6.61992i −0.0953602 0.355889i
\(347\) −2.39696 + 1.38389i −0.128676 + 0.0742909i −0.562956 0.826487i \(-0.690336\pi\)
0.434280 + 0.900778i \(0.357003\pi\)
\(348\) 14.3305 1.38559i 0.768195 0.0742752i
\(349\) −10.2283 2.74067i −0.547510 0.146705i −0.0255480 0.999674i \(-0.508133\pi\)
−0.521962 + 0.852969i \(0.674800\pi\)
\(350\) 3.51993 17.1698i 0.188148 0.917765i
\(351\) 0.347147 + 18.7318i 0.0185293 + 0.999828i
\(352\) 1.36087 + 2.35709i 0.0725345 + 0.125633i
\(353\) 5.73382 5.73382i 0.305180 0.305180i −0.537856 0.843037i \(-0.680766\pi\)
0.843037 + 0.537856i \(0.180766\pi\)
\(354\) −0.498270 0.697965i −0.0264827 0.0370964i
\(355\) 32.3664i 1.71783i
\(356\) 9.70244 9.70244i 0.514229 0.514229i
\(357\) −8.86922 + 23.0296i −0.469409 + 1.21885i
\(358\) −0.700780 2.61535i −0.0370374 0.138225i
\(359\) 3.44709 12.8647i 0.181930 0.678973i −0.813336 0.581794i \(-0.802351\pi\)
0.995267 0.0971798i \(-0.0309822\pi\)
\(360\) −10.0390 + 1.95961i −0.529100 + 0.103281i
\(361\) 14.9923i 0.789069i
\(362\) −11.1397 + 2.98488i −0.585492 + 0.156882i
\(363\) 5.06384 3.61502i 0.265782 0.189739i
\(364\) 2.93331 + 9.07721i 0.153747 + 0.475775i
\(365\) 46.6135i 2.43986i
\(366\) −13.4829 + 16.3693i −0.704763 + 0.855635i
\(367\) 3.32496 0.173561 0.0867807 0.996227i \(-0.472342\pi\)
0.0867807 + 0.996227i \(0.472342\pi\)
\(368\) 0.872301 + 1.51087i 0.0454718 + 0.0787595i
\(369\) 2.37424 3.52597i 0.123598 0.183555i
\(370\) −15.6118 + 4.18317i −0.811619 + 0.217473i
\(371\) 9.06478 + 4.53643i 0.470620 + 0.235520i
\(372\) 1.99501 + 0.333040i 0.103436 + 0.0172673i
\(373\) 2.63780 0.136580 0.0682901 0.997666i \(-0.478246\pi\)
0.0682901 + 0.997666i \(0.478246\pi\)
\(374\) −14.6573 −0.757910
\(375\) −1.57966 + 9.46263i −0.0815731 + 0.488648i
\(376\) 11.1789 6.45412i 0.576506 0.332846i
\(377\) 7.50084 + 29.0166i 0.386313 + 1.49443i
\(378\) 7.88192 + 11.2639i 0.405402 + 0.579352i
\(379\) 3.22947 12.0526i 0.165887 0.619098i −0.832039 0.554718i \(-0.812826\pi\)
0.997925 0.0643804i \(-0.0205071\pi\)
\(380\) 17.2151 + 9.93913i 0.883115 + 0.509866i
\(381\) −22.9809 10.4620i −1.17735 0.535985i
\(382\) −6.49012 + 1.73902i −0.332063 + 0.0889761i
\(383\) −9.87370 + 9.87370i −0.504523 + 0.504523i −0.912840 0.408317i \(-0.866116\pi\)
0.408317 + 0.912840i \(0.366116\pi\)
\(384\) 1.33693 + 1.10119i 0.0682248 + 0.0561949i
\(385\) −13.5205 20.4936i −0.689067 1.04445i
\(386\) 0.841717 + 0.485966i 0.0428423 + 0.0247350i
\(387\) −23.4615 + 20.4273i −1.19261 + 1.03838i
\(388\) −9.41524 + 9.41524i −0.477986 + 0.477986i
\(389\) 1.68983 2.92688i 0.0856780 0.148399i −0.820002 0.572361i \(-0.806028\pi\)
0.905680 + 0.423962i \(0.139361\pi\)
\(390\) −7.28809 20.0060i −0.369047 1.01304i
\(391\) −9.39515 −0.475133
\(392\) 5.50319 + 4.32607i 0.277953 + 0.218500i
\(393\) −9.60019 4.37048i −0.484266 0.220461i
\(394\) 10.3354i 0.520688i
\(395\) −1.22840 4.58446i −0.0618077 0.230669i
\(396\) −4.56057 + 6.77287i −0.229177 + 0.340349i
\(397\) −25.8370 + 25.8370i −1.29672 + 1.29672i −0.366179 + 0.930544i \(0.619334\pi\)
−0.930544 + 0.366179i \(0.880666\pi\)
\(398\) −5.05323 5.05323i −0.253295 0.253295i
\(399\) 2.82191 26.5683i 0.141272 1.33008i
\(400\) 5.73702 3.31227i 0.286851 0.165614i
\(401\) 5.70049 1.52744i 0.284669 0.0762768i −0.113659 0.993520i \(-0.536257\pi\)
0.398328 + 0.917243i \(0.369591\pi\)
\(402\) 0.976139 0.0943809i 0.0486854 0.00470729i
\(403\) −0.0371999 + 4.21025i −0.00185306 + 0.209728i
\(404\) −1.74444 + 1.00716i −0.0867894 + 0.0501079i
\(405\) −18.5056 24.4771i −0.919551 1.21628i
\(406\) 16.4495 + 14.5971i 0.816374 + 0.724441i
\(407\) −6.45115 + 11.1737i −0.319772 + 0.553861i
\(408\) −8.73558 + 3.27003i −0.432475 + 0.161891i
\(409\) −7.21568 + 26.9293i −0.356792 + 1.33157i 0.521422 + 0.853299i \(0.325402\pi\)
−0.878214 + 0.478268i \(0.841265\pi\)
\(410\) −1.25036 + 4.66642i −0.0617510 + 0.230458i
\(411\) −16.5568 + 6.19780i −0.816687 + 0.305715i
\(412\) −3.13960 + 5.43794i −0.154677 + 0.267908i
\(413\) 0.263079 1.28327i 0.0129453 0.0631457i
\(414\) −2.92328 + 4.34133i −0.143671 + 0.213365i
\(415\) −11.0666 + 6.38933i −0.543240 + 0.313640i
\(416\) −1.83029 + 3.10645i −0.0897375 + 0.152306i
\(417\) 6.01567 0.581643i 0.294589 0.0284832i
\(418\) 15.3278 4.10707i 0.749707 0.200883i
\(419\) −12.8370 + 7.41143i −0.627127 + 0.362072i −0.779639 0.626230i \(-0.784597\pi\)
0.152512 + 0.988302i \(0.451264\pi\)
\(420\) −12.6302 9.19753i −0.616289 0.448794i
\(421\) 18.1242 + 18.1242i 0.883318 + 0.883318i 0.993870 0.110552i \(-0.0352620\pi\)
−0.110552 + 0.993870i \(0.535262\pi\)
\(422\) −6.43807 + 6.43807i −0.313400 + 0.313400i
\(423\) 32.1214 + 21.6292i 1.56179 + 1.05165i
\(424\) 0.991601 + 3.70071i 0.0481564 + 0.179722i
\(425\) 35.6750i 1.73049i
\(426\) −14.9647 6.81268i −0.725043 0.330075i
\(427\) −32.3369 + 1.92938i −1.56489 + 0.0933692i
\(428\) 16.9721 0.820377
\(429\) −15.4068 7.17892i −0.743846 0.346602i
\(430\) 17.6771 30.6176i 0.852465 1.47651i
\(431\) −1.68177 + 1.68177i −0.0810080 + 0.0810080i −0.746450 0.665442i \(-0.768243\pi\)
0.665442 + 0.746450i \(0.268243\pi\)
\(432\) −1.20703 + 5.05402i −0.0580730 + 0.243162i
\(433\) −4.77905 2.75918i −0.229666 0.132598i 0.380752 0.924677i \(-0.375665\pi\)
−0.610418 + 0.792079i \(0.708999\pi\)
\(434\) 1.70142 + 2.57892i 0.0816707 + 0.123792i
\(435\) −37.8894 31.2084i −1.81666 1.49633i
\(436\) 7.72129 7.72129i 0.369782 0.369782i
\(437\) 9.82495 2.63259i 0.469991 0.125934i
\(438\) 21.5519 + 9.81147i 1.02979 + 0.468810i
\(439\) 8.39974 + 4.84959i 0.400898 + 0.231458i 0.686871 0.726779i \(-0.258984\pi\)
−0.285974 + 0.958237i \(0.592317\pi\)
\(440\) 2.40176 8.96350i 0.114500 0.427318i
\(441\) −4.41120 + 20.5315i −0.210057 + 0.977689i
\(442\) −9.55949 16.9006i −0.454698 0.803881i
\(443\) −16.9915 + 9.81007i −0.807292 + 0.466090i −0.846015 0.533160i \(-0.821005\pi\)
0.0387223 + 0.999250i \(0.487671\pi\)
\(444\) −1.35196 + 8.09866i −0.0641612 + 0.384345i
\(445\) −46.7826 −2.21771
\(446\) −0.351099 −0.0166250
\(447\) 8.58280 + 1.43278i 0.405952 + 0.0677682i
\(448\) 0.157578 + 2.64105i 0.00744488 + 0.124778i
\(449\) 13.0128 3.48676i 0.614111 0.164550i 0.0616615 0.998097i \(-0.480360\pi\)
0.552449 + 0.833547i \(0.313693\pi\)
\(450\) 16.4848 + 11.1002i 0.777100 + 0.523267i
\(451\) 1.92827 + 3.33986i 0.0907986 + 0.157268i
\(452\) −9.95326 −0.468162
\(453\) −5.56286 + 6.75373i −0.261366 + 0.317318i
\(454\) 11.8232i 0.554888i
\(455\) 14.8121 28.9557i 0.694403 1.35747i
\(456\) 8.21891 5.86740i 0.384886 0.274766i
\(457\) 1.25028 0.335010i 0.0584854 0.0156711i −0.229458 0.973319i \(-0.573695\pi\)
0.287943 + 0.957648i \(0.407029\pi\)
\(458\) 21.1674i 0.989085i
\(459\) −20.3207 19.2379i −0.948491 0.897950i
\(460\) 1.53950 5.74550i 0.0717797 0.267885i
\(461\) 7.55353 + 28.1902i 0.351803 + 1.31295i 0.884460 + 0.466616i \(0.154527\pi\)
−0.532657 + 0.846331i \(0.678806\pi\)
\(462\) −12.3211 + 1.93762i −0.573231 + 0.0901464i
\(463\) −8.48722 + 8.48722i −0.394434 + 0.394434i −0.876265 0.481830i \(-0.839972\pi\)
0.481830 + 0.876265i \(0.339972\pi\)
\(464\) 8.31230i 0.385889i
\(465\) −4.00679 5.61262i −0.185810 0.260279i
\(466\) 11.6539 11.6539i 0.539857 0.539857i
\(467\) −13.6695 23.6763i −0.632550 1.09561i −0.987028 0.160545i \(-0.948675\pi\)
0.354478 0.935064i \(-0.384659\pi\)
\(468\) −10.7839 0.841312i −0.498485 0.0388897i
\(469\) 1.12048 + 0.994298i 0.0517388 + 0.0459124i
\(470\) −42.5108 11.3907i −1.96088 0.525415i
\(471\) −7.24578 + 0.700580i −0.333868 + 0.0322810i
\(472\) 0.428785 0.247559i 0.0197364 0.0113948i
\(473\) −7.30458 27.2611i −0.335865 1.25346i
\(474\) −2.37820 0.397008i −0.109234 0.0182352i
\(475\) −9.99638 37.3070i −0.458665 1.71176i
\(476\) −12.7416 6.37649i −0.584010 0.292266i
\(477\) −8.66848 + 7.54744i −0.396903 + 0.345573i
\(478\) −3.27706 1.89201i −0.149889 0.0865385i
\(479\) 28.2712 + 28.2712i 1.29175 + 1.29175i 0.933706 + 0.358040i \(0.116555\pi\)
0.358040 + 0.933706i \(0.383445\pi\)
\(480\) −0.568330 5.87798i −0.0259406 0.268292i
\(481\) −17.0913 0.151012i −0.779298 0.00688554i
\(482\) 11.1786i 0.509170i
\(483\) −7.89771 + 1.24199i −0.359358 + 0.0565127i
\(484\) 1.79608 + 3.11090i 0.0816400 + 0.141405i
\(485\) 45.3977 2.06140
\(486\) −15.2123 + 3.40403i −0.690042 + 0.154410i
\(487\) −2.11439 + 7.89100i −0.0958120 + 0.357575i −0.997141 0.0755591i \(-0.975926\pi\)
0.901329 + 0.433135i \(0.142593\pi\)
\(488\) −8.65776 8.65776i −0.391919 0.391919i
\(489\) 26.3914 + 4.40568i 1.19346 + 0.199232i
\(490\) −2.83787 23.6970i −0.128202 1.07052i
\(491\) 14.5460 + 25.1944i 0.656453 + 1.13701i 0.981527 + 0.191321i \(0.0612772\pi\)
−0.325075 + 0.945688i \(0.605389\pi\)
\(492\) 1.89435 + 1.56032i 0.0854038 + 0.0703448i
\(493\) −38.7667 22.3820i −1.74597 1.00803i
\(494\) 14.7325 + 14.9951i 0.662845 + 0.674663i
\(495\) 27.3234 5.33355i 1.22810 0.239725i
\(496\) −0.302238 + 1.12797i −0.0135709 + 0.0506473i
\(497\) −7.93397 23.8303i −0.355887 1.06893i
\(498\) 0.624755 + 6.46156i 0.0279959 + 0.289549i
\(499\) 5.20426 19.4226i 0.232975 0.869474i −0.746076 0.665860i \(-0.768065\pi\)
0.979051 0.203614i \(-0.0652687\pi\)
\(500\) −5.35012 1.43356i −0.239265 0.0641108i
\(501\) 18.7593 7.02225i 0.838102 0.313731i
\(502\) 27.7292 + 7.43001i 1.23761 + 0.331618i
\(503\) −1.29628 0.748409i −0.0577984 0.0333699i 0.470822 0.882228i \(-0.343957\pi\)
−0.528621 + 0.848858i \(0.677291\pi\)
\(504\) −6.91098 + 3.90364i −0.307839 + 0.173882i
\(505\) 6.63374 + 1.77750i 0.295197 + 0.0790979i
\(506\) −2.37417 4.11219i −0.105545 0.182809i
\(507\) −1.77063 22.4469i −0.0786364 0.996903i
\(508\) 7.28911 12.6251i 0.323402 0.560149i
\(509\) −0.562121 2.09786i −0.0249156 0.0929862i 0.952348 0.305012i \(-0.0986605\pi\)
−0.977264 + 0.212026i \(0.931994\pi\)
\(510\) 28.9439 + 13.1767i 1.28166 + 0.583473i
\(511\) 11.4263 + 34.3198i 0.505471 + 1.51822i
\(512\) −0.707107 + 0.707107i −0.0312500 + 0.0312500i
\(513\) 26.6410 + 14.4240i 1.17623 + 0.636834i
\(514\) −22.5475 6.04158i −0.994526 0.266483i
\(515\) 20.6793 5.54100i 0.911239 0.244166i
\(516\) −10.4354 14.6176i −0.459392 0.643506i
\(517\) −30.4259 + 17.5664i −1.33813 + 0.772570i
\(518\) −10.4690 + 6.90683i −0.459981 + 0.303469i
\(519\) 6.89706 + 9.66125i 0.302748 + 0.424082i
\(520\) 11.9018 3.07664i 0.521929 0.134920i
\(521\) −30.4873 17.6018i −1.33567 0.771151i −0.349510 0.936933i \(-0.613652\pi\)
−0.986162 + 0.165782i \(0.946985\pi\)
\(522\) −22.4045 + 10.9493i −0.980618 + 0.479239i
\(523\) −14.2777 + 24.7298i −0.624322 + 1.08136i 0.364350 + 0.931262i \(0.381291\pi\)
−0.988672 + 0.150095i \(0.952042\pi\)
\(524\) 3.04501 5.27411i 0.133022 0.230400i
\(525\) 4.71606 + 29.9889i 0.205826 + 1.30882i
\(526\) −0.816141 + 0.218684i −0.0355854 + 0.00953509i
\(527\) −4.44678 4.44678i −0.193705 0.193705i
\(528\) −3.63876 2.99715i −0.158357 0.130434i
\(529\) 9.97818 + 17.2827i 0.433834 + 0.751423i
\(530\) 6.53129 11.3125i 0.283701 0.491384i
\(531\) 1.23207 + 0.829627i 0.0534674 + 0.0360027i
\(532\) 15.1112 + 3.09790i 0.655155 + 0.134311i
\(533\) −2.59342 + 4.40166i −0.112333 + 0.190657i
\(534\) −9.84707 + 21.6301i −0.426124 + 0.936025i
\(535\) −40.9175 40.9175i −1.76902 1.76902i
\(536\) 0.566202i 0.0244562i
\(537\) 2.72484 + 3.81689i 0.117585 + 0.164711i
\(538\) 3.32210 + 3.32210i 0.143226 + 0.143226i
\(539\) −14.9782 11.7744i −0.645158 0.507160i
\(540\) 15.0945 9.27458i 0.649565 0.399114i
\(541\) 15.2971 + 4.09884i 0.657672 + 0.176223i 0.572195 0.820117i \(-0.306092\pi\)
0.0854769 + 0.996340i \(0.472759\pi\)
\(542\) 10.6660 6.15802i 0.458144 0.264510i
\(543\) 16.2576 11.6061i 0.697679 0.498066i
\(544\) −1.39381 5.20177i −0.0597591 0.223024i
\(545\) −37.2300 −1.59476
\(546\) −10.2700 12.9432i −0.439517 0.553918i
\(547\) 22.5516 0.964236 0.482118 0.876106i \(-0.339868\pi\)
0.482118 + 0.876106i \(0.339868\pi\)
\(548\) −2.64173 9.85908i −0.112849 0.421159i
\(549\) 11.9312 34.7400i 0.509213 1.48267i
\(550\) −15.6147 + 9.01513i −0.665811 + 0.384406i
\(551\) 46.8118 + 12.5432i 1.99425 + 0.534357i
\(552\) −2.33241 1.92114i −0.0992739 0.0817692i
\(553\) −2.02822 3.07426i −0.0862486 0.130731i
\(554\) −14.5213 14.5213i −0.616952 0.616952i
\(555\) 22.7842 16.2654i 0.967134 0.690427i
\(556\) 3.48934i 0.147981i
\(557\) −1.52916 1.52916i −0.0647926 0.0647926i 0.673968 0.738761i \(-0.264589\pi\)
−0.738761 + 0.673968i \(0.764589\pi\)
\(558\) −3.43838 + 0.671175i −0.145558 + 0.0284131i
\(559\) 26.6694 26.2022i 1.12800 1.10824i
\(560\) 5.98733 6.74713i 0.253011 0.285118i
\(561\) 23.7759 8.90017i 1.00382 0.375765i
\(562\) −3.40635 + 5.89998i −0.143688 + 0.248875i
\(563\) 8.60899 + 14.9112i 0.362826 + 0.628432i 0.988425 0.151712i \(-0.0484787\pi\)
−0.625599 + 0.780145i \(0.715145\pi\)
\(564\) −14.2144 + 17.2574i −0.598536 + 0.726668i
\(565\) 23.9960 + 23.9960i 1.00952 + 1.00952i
\(566\) −11.3972 + 3.05386i −0.479058 + 0.128363i
\(567\) −19.6251 13.4854i −0.824176 0.566333i
\(568\) 4.74654 8.22125i 0.199160 0.344956i
\(569\) −4.81789 + 8.34483i −0.201977 + 0.349834i −0.949165 0.314778i \(-0.898070\pi\)
0.747189 + 0.664612i \(0.231403\pi\)
\(570\) −33.9602 5.66919i −1.42244 0.237456i
\(571\) 35.2570 + 20.3556i 1.47546 + 0.851856i 0.999617 0.0276752i \(-0.00881041\pi\)
0.475841 + 0.879531i \(0.342144\pi\)
\(572\) 4.98157 8.45493i 0.208290 0.353518i
\(573\) 9.47181 6.76183i 0.395690 0.282479i
\(574\) 0.223279 + 3.74222i 0.00931950 + 0.156197i
\(575\) −10.0088 + 5.77860i −0.417397 + 0.240984i
\(576\) −2.83733 0.974462i −0.118222 0.0406026i
\(577\) 14.0412 3.76233i 0.584543 0.156628i 0.0455850 0.998960i \(-0.485485\pi\)
0.538958 + 0.842333i \(0.318818\pi\)
\(578\) 11.5922 + 3.10612i 0.482172 + 0.129198i
\(579\) −1.66046 0.277191i −0.0690062 0.0115196i
\(580\) 20.0398 20.0398i 0.832109 0.832109i
\(581\) −6.58176 + 7.41700i −0.273058 + 0.307709i
\(582\) 9.55558 20.9898i 0.396091 0.870054i
\(583\) −2.69888 10.0723i −0.111776 0.417154i
\(584\) −6.83586 + 11.8401i −0.282870 + 0.489945i
\(585\) 23.9702 + 28.0268i 0.991046 + 1.15877i
\(586\) 5.96659 + 10.3344i 0.246478 + 0.426912i
\(587\) 30.9162 + 8.28397i 1.27605 + 0.341916i 0.832345 0.554258i \(-0.186998\pi\)
0.443703 + 0.896174i \(0.353665\pi\)
\(588\) −11.5537 3.67579i −0.476468 0.151587i
\(589\) 5.89623 + 3.40419i 0.242950 + 0.140267i
\(590\) −1.63058 0.436911i −0.0671297 0.0179874i
\(591\) −6.27581 16.7652i −0.258153 0.689629i
\(592\) −4.57894 1.22692i −0.188193 0.0504262i
\(593\) −7.49100 + 27.9568i −0.307619 + 1.14805i 0.623049 + 0.782183i \(0.285894\pi\)
−0.930668 + 0.365866i \(0.880773\pi\)
\(594\) 3.28520 13.7557i 0.134794 0.564403i
\(595\) 15.3454 + 46.0911i 0.629102 + 1.88955i
\(596\) −1.30027 + 4.85267i −0.0532611 + 0.198773i
\(597\) 11.2654 + 5.12855i 0.461061 + 0.209898i
\(598\) 3.19313 5.41952i 0.130577 0.221621i
\(599\) −9.28946 5.36327i −0.379557 0.219137i 0.298068 0.954545i \(-0.403658\pi\)
−0.677626 + 0.735407i \(0.736991\pi\)
\(600\) −7.29489 + 8.85654i −0.297813 + 0.361567i
\(601\) 9.06315 + 15.6978i 0.369694 + 0.640328i 0.989518 0.144413i \(-0.0461293\pi\)
−0.619824 + 0.784741i \(0.712796\pi\)
\(602\) 5.50973 26.8759i 0.224560 1.09538i
\(603\) −1.52611 + 0.745827i −0.0621479 + 0.0303724i
\(604\) −3.57207 3.57207i −0.145346 0.145346i
\(605\) 3.16986 11.8301i 0.128873 0.480961i
\(606\) 2.21814 2.69299i 0.0901059 0.109395i
\(607\) −15.6175 −0.633893 −0.316947 0.948443i \(-0.602658\pi\)
−0.316947 + 0.948443i \(0.602658\pi\)
\(608\) 2.91515 + 5.04918i 0.118225 + 0.204771i
\(609\) −35.5467 13.6899i −1.44043 0.554741i
\(610\) 41.7454i 1.69022i
\(611\) −40.0988 23.6259i −1.62222 0.955800i
\(612\) 12.1846 10.6088i 0.492532 0.428835i
\(613\) −17.3540 17.3540i −0.700923 0.700923i 0.263686 0.964609i \(-0.415062\pi\)
−0.964609 + 0.263686i \(0.915062\pi\)
\(614\) 13.3973 + 7.73491i 0.540669 + 0.312156i
\(615\) −0.805290 8.32875i −0.0324724 0.335848i
\(616\) −0.428887 7.18825i −0.0172803 0.289623i
\(617\) −8.54893 31.9050i −0.344167 1.28445i −0.893582 0.448899i \(-0.851816\pi\)
0.549415 0.835549i \(-0.314851\pi\)
\(618\) 1.79080 10.7274i 0.0720365 0.431521i
\(619\) 4.28754 + 16.0013i 0.172331 + 0.643147i 0.996991 + 0.0775184i \(0.0246997\pi\)
−0.824660 + 0.565628i \(0.808634\pi\)
\(620\) 3.44804 1.99072i 0.138476 0.0799494i
\(621\) 2.10578 8.81725i 0.0845020 0.353824i
\(622\) 8.11033 + 2.17316i 0.325195 + 0.0871356i
\(623\) −34.4444 + 11.4678i −1.37998 + 0.459448i
\(624\) 1.08267 6.15043i 0.0433415 0.246214i
\(625\) −7.11906 12.3306i −0.284763 0.493223i
\(626\) 23.2016 23.2016i 0.927321 0.927321i
\(627\) −22.3697 + 15.9695i −0.893360 + 0.637760i
\(628\) 4.20286i 0.167712i
\(629\) 18.0515 18.0515i 0.719761 0.719761i
\(630\) 26.0726 + 7.25027i 1.03876 + 0.288858i
\(631\) −11.8770 44.3257i −0.472817 1.76458i −0.629575 0.776940i \(-0.716771\pi\)
0.156758 0.987637i \(-0.449896\pi\)
\(632\) 0.360291 1.34462i 0.0143316 0.0534862i
\(633\) 6.53404 14.3527i 0.259705 0.570467i
\(634\) 30.2074i 1.19969i
\(635\) −48.0105 + 12.8644i −1.90524 + 0.510507i
\(636\) −3.85564 5.40088i −0.152886 0.214159i
\(637\) 3.80773 24.9500i 0.150868 0.988554i
\(638\) 22.6239i 0.895688i
\(639\) 28.4114 + 1.96415i 1.12394 + 0.0777006i
\(640\) 3.40948 0.134771
\(641\) 18.0247 + 31.2198i 0.711934 + 1.23311i 0.964130 + 0.265430i \(0.0855140\pi\)
−0.252196 + 0.967676i \(0.581153\pi\)
\(642\) −27.5308 + 10.3058i −1.08656 + 0.406736i
\(643\) −42.4343 + 11.3702i −1.67345 + 0.448399i −0.966037 0.258405i \(-0.916803\pi\)
−0.707409 + 0.706804i \(0.750136\pi\)
\(644\) −0.274911 4.60759i −0.0108330 0.181564i
\(645\) −10.0829 + 60.3995i −0.397012 + 2.37823i
\(646\) −31.3977 −1.23533
\(647\) 25.9919 1.02185 0.510923 0.859626i \(-0.329304\pi\)
0.510923 + 0.859626i \(0.329304\pi\)
\(648\) −1.11095 8.93117i −0.0436421 0.350849i
\(649\) −1.16704 + 0.673791i −0.0458103 + 0.0264486i
\(650\) −20.5788 12.1249i −0.807167 0.475576i
\(651\) −4.32588 3.15019i −0.169544 0.123466i
\(652\) −3.99821 + 14.9215i −0.156582 + 0.584373i
\(653\) 4.14316 + 2.39205i 0.162134 + 0.0936083i 0.578872 0.815419i \(-0.303493\pi\)
−0.416737 + 0.909027i \(0.636827\pi\)
\(654\) −7.83638 + 17.2134i −0.306427 + 0.673097i
\(655\) −20.0563 + 5.37406i −0.783663 + 0.209982i
\(656\) −1.00193 + 1.00193i −0.0391187 + 0.0391187i
\(657\) −40.9175 2.82873i −1.59634 0.110359i
\(658\) −34.0914 + 2.03406i −1.32902 + 0.0792959i
\(659\) 8.85320 + 5.11140i 0.344872 + 0.199112i 0.662424 0.749129i \(-0.269528\pi\)
−0.317552 + 0.948241i \(0.602861\pi\)
\(660\) 1.54684 + 15.9983i 0.0602108 + 0.622733i
\(661\) −0.924413 + 0.924413i −0.0359555 + 0.0359555i −0.724856 0.688900i \(-0.758094\pi\)
0.688900 + 0.724856i \(0.258094\pi\)
\(662\) −1.04273 + 1.80606i −0.0405268 + 0.0701945i
\(663\) 25.7690 + 21.6102i 1.00079 + 0.839271i
\(664\) −3.74798 −0.145450
\(665\) −28.9625 43.8998i −1.12312 1.70236i
\(666\) −2.72461 13.9580i −0.105576 0.540860i
\(667\) 14.5017i 0.561506i
\(668\) 2.99314 + 11.1706i 0.115808 + 0.432202i
\(669\) 0.569526 0.213194i 0.0220191 0.00824254i
\(670\) 1.36504 1.36504i 0.0527360 0.0527360i
\(671\) 23.5641 + 23.5641i 0.909684 + 0.909684i
\(672\) −1.85931 4.18843i −0.0717244 0.161572i
\(673\) −22.6777 + 13.0930i −0.874163 + 0.504698i −0.868729 0.495287i \(-0.835063\pi\)
−0.00543356 + 0.999985i \(0.501730\pi\)
\(674\) −4.89174 + 1.31074i −0.188423 + 0.0504878i
\(675\) −33.4806 7.99600i −1.28867 0.307766i
\(676\) 12.9980 + 0.229707i 0.499922 + 0.00883488i
\(677\) −3.98352 + 2.29989i −0.153099 + 0.0883918i −0.574592 0.818440i \(-0.694839\pi\)
0.421493 + 0.906831i \(0.361506\pi\)
\(678\) 16.1454 6.04380i 0.620061 0.232111i
\(679\) 33.4247 11.1283i 1.28272 0.427066i
\(680\) −9.18048 + 15.9011i −0.352055 + 0.609778i
\(681\) −7.17924 19.1786i −0.275109 0.734927i
\(682\) 0.822612 3.07003i 0.0314995 0.117558i
\(683\) −0.419644 + 1.56613i −0.0160572 + 0.0599263i −0.973490 0.228731i \(-0.926542\pi\)
0.957432 + 0.288658i \(0.0932089\pi\)
\(684\) −9.76931 + 14.5083i −0.373539 + 0.554739i
\(685\) −17.4001 + 30.1378i −0.664822 + 1.15151i
\(686\) −7.89826 16.7516i −0.301557 0.639581i
\(687\) 12.8532 + 34.3361i 0.490380 + 1.31000i
\(688\) 8.98015 5.18469i 0.342365 0.197665i
\(689\) 9.85373 9.68113i 0.375397 0.368822i
\(690\) 0.991509 + 10.2547i 0.0377461 + 0.390391i
\(691\) 6.94583 1.86113i 0.264232 0.0708007i −0.124271 0.992248i \(-0.539659\pi\)
0.388503 + 0.921448i \(0.372992\pi\)
\(692\) −5.93526 + 3.42672i −0.225625 + 0.130264i
\(693\) 18.8098 10.6247i 0.714527 0.403598i
\(694\) 1.95711 + 1.95711i 0.0742909 + 0.0742909i
\(695\) 8.41234 8.41234i 0.319098 0.319098i
\(696\) −5.04738 13.4836i −0.191320 0.511094i
\(697\) −1.97495 7.37060i −0.0748065 0.279182i
\(698\) 10.5891i 0.400805i
\(699\) −11.8276 + 25.9806i −0.447362 + 0.982676i
\(700\) −17.4958 + 1.04388i −0.661279 + 0.0394551i
\(701\) 23.2544 0.878306 0.439153 0.898412i \(-0.355279\pi\)
0.439153 + 0.898412i \(0.355279\pi\)
\(702\) 18.0037 5.18346i 0.679504 0.195637i
\(703\) −13.8192 + 23.9355i −0.521199 + 0.902744i
\(704\) 1.92456 1.92456i 0.0725345 0.0725345i
\(705\) 75.8744 7.33614i 2.85759 0.276295i
\(706\) −7.02246 4.05442i −0.264294 0.152590i
\(707\) 5.31991 0.317412i 0.200076 0.0119375i
\(708\) −0.545220 + 0.661938i −0.0204906 + 0.0248772i
\(709\) 19.0385 19.0385i 0.715006 0.715006i −0.252572 0.967578i \(-0.581277\pi\)
0.967578 + 0.252572i \(0.0812766\pi\)
\(710\) −31.2636 + 8.37705i −1.17330 + 0.314385i
\(711\) 4.09881 0.800091i 0.153717 0.0300057i
\(712\) −11.8830 6.86066i −0.445335 0.257114i
\(713\) 0.527285 1.96786i 0.0197470 0.0736968i
\(714\) 24.5404 + 2.60652i 0.918400 + 0.0975465i
\(715\) −32.3936 + 8.37380i −1.21145 + 0.313162i
\(716\) −2.34486 + 1.35380i −0.0876314 + 0.0505940i
\(717\) 6.46465 + 1.07919i 0.241427 + 0.0403029i
\(718\) −13.3185 −0.497043
\(719\) −9.04678 −0.337388 −0.168694 0.985668i \(-0.553955\pi\)
−0.168694 + 0.985668i \(0.553955\pi\)
\(720\) 4.49112 + 9.18971i 0.167374 + 0.342480i
\(721\) 13.8672 9.14875i 0.516441 0.340717i
\(722\) 14.4815 3.88029i 0.538944 0.144410i
\(723\) 6.78783 + 18.1330i 0.252442 + 0.674375i
\(724\) 5.76635 + 9.98762i 0.214305 + 0.371187i
\(725\) −55.0652 −2.04507
\(726\) −4.80246 3.95565i −0.178236 0.146808i
\(727\) 46.9466i 1.74115i 0.492034 + 0.870576i \(0.336253\pi\)
−0.492034 + 0.870576i \(0.663747\pi\)
\(728\) 8.00871 5.18271i 0.296823 0.192084i
\(729\) 22.6092 14.7589i 0.837377 0.546626i
\(730\) 45.0251 12.0644i 1.66646 0.446525i
\(731\) 55.8419i 2.06539i
\(732\) 19.3011 + 8.78682i 0.713390 + 0.324770i
\(733\) −1.02536 + 3.82669i −0.0378725 + 0.141342i −0.982273 0.187454i \(-0.939976\pi\)
0.944401 + 0.328796i \(0.106643\pi\)
\(734\) −0.860562 3.21166i −0.0317639 0.118545i
\(735\) 18.9926 + 36.7163i 0.700554 + 1.35430i
\(736\) 1.23362 1.23362i 0.0454718 0.0454718i
\(737\) 1.54105i 0.0567654i
\(738\) −4.02033 1.38076i −0.147990 0.0508263i
\(739\) 2.62110 2.62110i 0.0964189 0.0964189i −0.657252 0.753671i \(-0.728281\pi\)
0.753671 + 0.657252i \(0.228281\pi\)
\(740\) 8.08126 + 13.9972i 0.297073 + 0.514546i
\(741\) −33.0032 15.3781i −1.21240 0.564930i
\(742\) 2.03572 9.93002i 0.0747337 0.364542i
\(743\) 17.3795 + 4.65682i 0.637592 + 0.170842i 0.563112 0.826380i \(-0.309604\pi\)
0.0744795 + 0.997223i \(0.476270\pi\)
\(744\) −0.194655 2.01323i −0.00713640 0.0738086i
\(745\) 14.8339 8.56436i 0.543472 0.313774i
\(746\) −0.682713 2.54792i −0.0249959 0.0932860i
\(747\) −4.93701 10.1021i −0.180636 0.369616i
\(748\) 3.79358 + 14.1578i 0.138707 + 0.517662i
\(749\) −40.1561 20.0960i −1.46727 0.734292i
\(750\) 9.54904 0.923278i 0.348682 0.0337133i
\(751\) 35.7030 + 20.6131i 1.30282 + 0.752183i 0.980887 0.194580i \(-0.0623342\pi\)
0.321933 + 0.946763i \(0.395668\pi\)
\(752\) −9.12751 9.12751i −0.332846 0.332846i
\(753\) −49.4918 + 4.78526i −1.80358 + 0.174385i
\(754\) 26.0865 14.7553i 0.950015 0.537357i
\(755\) 17.2236i 0.626830i
\(756\) 8.84010 10.5287i 0.321511 0.382924i
\(757\) 16.3398 + 28.3014i 0.593880 + 1.02863i 0.993704 + 0.112038i \(0.0357379\pi\)
−0.399824 + 0.916592i \(0.630929\pi\)
\(758\) −12.4777 −0.453211
\(759\) 6.34820 + 5.22884i 0.230425 + 0.189795i
\(760\) 5.14487 19.2009i 0.186624 0.696491i
\(761\) −29.3774 29.3774i −1.06493 1.06493i −0.997740 0.0671913i \(-0.978596\pi\)
−0.0671913 0.997740i \(-0.521404\pi\)
\(762\) −4.15764 + 24.9056i −0.150616 + 0.902234i
\(763\) −27.4111 + 9.12617i −0.992349 + 0.330389i
\(764\) 3.35953 + 5.81888i 0.121544 + 0.210520i
\(765\) −54.9517 3.79895i −1.98678 0.137351i
\(766\) 12.0928 + 6.98176i 0.436929 + 0.252261i
\(767\) −1.53806 0.906212i −0.0555362 0.0327214i
\(768\) 0.717647 1.57638i 0.0258958 0.0568828i
\(769\) −11.7559 + 43.8736i −0.423929 + 1.58212i 0.342323 + 0.939582i \(0.388786\pi\)
−0.766251 + 0.642541i \(0.777880\pi\)
\(770\) −16.2959 + 18.3639i −0.587264 + 0.661789i
\(771\) 40.2433 3.89105i 1.44933 0.140133i
\(772\) 0.251554 0.938814i 0.00905364 0.0337886i
\(773\) 29.8578 + 8.00036i 1.07391 + 0.287753i 0.752098 0.659051i \(-0.229042\pi\)
0.321811 + 0.946804i \(0.395709\pi\)
\(774\) 25.8036 + 17.3751i 0.927490 + 0.624534i