Properties

Label 546.2.ch.a.305.33
Level $546$
Weight $2$
Character 546.305
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.ch (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 305.33
Character \(\chi\) \(=\) 546.305
Dual form 546.2.ch.a.401.33

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(0.958098 - 1.44293i) q^{3} +1.00000i q^{4} +(-0.421014 + 1.57124i) q^{5} +(1.69778 - 0.342829i) q^{6} +(-1.51065 + 2.17208i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.16410 - 2.76494i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(0.958098 - 1.44293i) q^{3} +1.00000i q^{4} +(-0.421014 + 1.57124i) q^{5} +(1.69778 - 0.342829i) q^{6} +(-1.51065 + 2.17208i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.16410 - 2.76494i) q^{9} +(-1.40874 + 0.813336i) q^{10} +(4.90284 + 1.31371i) q^{11} +(1.44293 + 0.958098i) q^{12} +(3.58027 + 0.426188i) q^{13} +(-2.60408 + 0.467704i) q^{14} +(1.86382 + 2.11290i) q^{15} -1.00000 q^{16} +0.853434 q^{17} +(1.13196 - 2.77825i) q^{18} +(1.44975 + 5.41052i) q^{19} +(-1.57124 - 0.421014i) q^{20} +(1.68682 + 4.26083i) q^{21} +(2.53789 + 4.39576i) q^{22} -2.49659 q^{23} +(0.342829 + 1.69778i) q^{24} +(2.03857 + 1.17697i) q^{25} +(2.23028 + 2.83300i) q^{26} +(-5.10493 - 0.969366i) q^{27} +(-2.17208 - 1.51065i) q^{28} +(-4.98976 - 2.88084i) q^{29} +(-0.176122 + 2.81197i) q^{30} +(-1.47908 - 5.51999i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(6.59299 - 5.81579i) q^{33} +(0.603469 + 0.603469i) q^{34} +(-2.77687 - 3.28807i) q^{35} +(2.76494 - 1.16410i) q^{36} +(3.88598 + 3.88598i) q^{37} +(-2.80069 + 4.85094i) q^{38} +(4.04521 - 4.75776i) q^{39} +(-0.813336 - 1.40874i) q^{40} +(-2.07420 + 0.555780i) q^{41} +(-1.82010 + 4.20562i) q^{42} +(11.2486 - 6.49440i) q^{43} +(-1.31371 + 4.90284i) q^{44} +(4.83449 - 0.665007i) q^{45} +(-1.76535 - 1.76535i) q^{46} +(-7.23248 - 1.93794i) q^{47} +(-0.958098 + 1.44293i) q^{48} +(-2.43588 - 6.56251i) q^{49} +(0.609244 + 2.27373i) q^{50} +(0.817673 - 1.23145i) q^{51} +(-0.426188 + 3.58027i) q^{52} +(-9.96523 - 5.75343i) q^{53} +(-2.92429 - 4.29518i) q^{54} +(-4.12832 + 7.15047i) q^{55} +(-0.467704 - 2.60408i) q^{56} +(9.19601 + 3.09193i) q^{57} +(-1.49123 - 5.56536i) q^{58} +(0.583751 - 0.583751i) q^{59} +(-2.11290 + 1.86382i) q^{60} +(-2.92693 + 5.06959i) q^{61} +(2.85736 - 4.94909i) q^{62} +(7.76421 + 1.64833i) q^{63} -1.00000i q^{64} +(-2.17699 + 5.44606i) q^{65} +(8.77433 + 0.549563i) q^{66} +(11.8441 + 3.17363i) q^{67} +0.853434i q^{68} +(-2.39197 + 3.60240i) q^{69} +(0.361477 - 4.28856i) q^{70} +(3.90925 - 14.5895i) q^{71} +(2.77825 + 1.13196i) q^{72} +(-10.5632 + 2.83040i) q^{73} +5.49560i q^{74} +(3.65143 - 1.81386i) q^{75} +(-5.41052 + 1.44975i) q^{76} +(-10.2600 + 8.66481i) q^{77} +(6.22464 - 0.503847i) q^{78} +(-6.03981 - 10.4613i) q^{79} +(0.421014 - 1.57124i) q^{80} +(-6.28975 + 6.43732i) q^{81} +(-1.85968 - 1.07368i) q^{82} +(-3.18424 - 3.18424i) q^{83} +(-4.26083 + 1.68682i) q^{84} +(-0.359308 + 1.34095i) q^{85} +(12.5462 + 3.36175i) q^{86} +(-8.93753 + 4.43976i) q^{87} +(-4.39576 + 2.53789i) q^{88} +(5.02101 - 5.02101i) q^{89} +(3.88873 + 2.94827i) q^{90} +(-6.33425 + 7.13283i) q^{91} -2.49659i q^{92} +(-9.38207 - 3.15449i) q^{93} +(-3.74381 - 6.48447i) q^{94} -9.11162 q^{95} +(-1.69778 + 0.342829i) q^{96} +(-14.9348 - 4.00176i) q^{97} +(2.91796 - 6.36282i) q^{98} +(-2.07506 - 15.0853i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 152q + 8q^{7} + O(q^{10}) \) \( 152q + 8q^{7} - 152q^{16} - 8q^{18} + 36q^{19} + 8q^{21} + 24q^{27} - 12q^{28} - 24q^{30} - 36q^{31} + 12q^{33} + 24q^{36} - 12q^{37} - 8q^{39} - 36q^{42} + 84q^{43} - 40q^{45} + 8q^{46} + 4q^{49} - 20q^{52} - 12q^{54} + 16q^{55} - 8q^{57} + 8q^{58} + 24q^{60} - 32q^{61} - 28q^{63} + 16q^{66} + 92q^{67} + 84q^{69} - 8q^{72} + 84q^{73} - 48q^{76} - 8q^{78} + 32q^{79} - 24q^{81} - 48q^{82} - 8q^{84} - 152q^{85} - 96q^{87} - 88q^{91} - 48q^{93} + 32q^{94} - 100q^{97} + 16q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(-1\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) 0.958098 1.44293i 0.553158 0.833076i
\(4\) 1.00000i 0.500000i
\(5\) −0.421014 + 1.57124i −0.188283 + 0.702682i 0.805621 + 0.592432i \(0.201832\pi\)
−0.993904 + 0.110250i \(0.964835\pi\)
\(6\) 1.69778 0.342829i 0.693117 0.139959i
\(7\) −1.51065 + 2.17208i −0.570971 + 0.820970i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.16410 2.76494i −0.388033 0.921646i
\(10\) −1.40874 + 0.813336i −0.445482 + 0.257199i
\(11\) 4.90284 + 1.31371i 1.47826 + 0.396099i 0.905755 0.423802i \(-0.139305\pi\)
0.572506 + 0.819901i \(0.305971\pi\)
\(12\) 1.44293 + 0.958098i 0.416538 + 0.276579i
\(13\) 3.58027 + 0.426188i 0.992989 + 0.118203i
\(14\) −2.60408 + 0.467704i −0.695971 + 0.124999i
\(15\) 1.86382 + 2.11290i 0.481238 + 0.545548i
\(16\) −1.00000 −0.250000
\(17\) 0.853434 0.206988 0.103494 0.994630i \(-0.466998\pi\)
0.103494 + 0.994630i \(0.466998\pi\)
\(18\) 1.13196 2.77825i 0.266806 0.654839i
\(19\) 1.44975 + 5.41052i 0.332594 + 1.24126i 0.906454 + 0.422305i \(0.138779\pi\)
−0.573859 + 0.818954i \(0.694554\pi\)
\(20\) −1.57124 0.421014i −0.351341 0.0941415i
\(21\) 1.68682 + 4.26083i 0.368093 + 0.929789i
\(22\) 2.53789 + 4.39576i 0.541081 + 0.937180i
\(23\) −2.49659 −0.520575 −0.260287 0.965531i \(-0.583817\pi\)
−0.260287 + 0.965531i \(0.583817\pi\)
\(24\) 0.342829 + 1.69778i 0.0699796 + 0.346559i
\(25\) 2.03857 + 1.17697i 0.407714 + 0.235394i
\(26\) 2.23028 + 2.83300i 0.437393 + 0.555596i
\(27\) −5.10493 0.969366i −0.982445 0.186555i
\(28\) −2.17208 1.51065i −0.410485 0.285486i
\(29\) −4.98976 2.88084i −0.926576 0.534959i −0.0408488 0.999165i \(-0.513006\pi\)
−0.885727 + 0.464207i \(0.846340\pi\)
\(30\) −0.176122 + 2.81197i −0.0321554 + 0.513393i
\(31\) −1.47908 5.51999i −0.265650 0.991420i −0.961851 0.273573i \(-0.911794\pi\)
0.696201 0.717847i \(-0.254872\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 6.59299 5.81579i 1.14769 1.01240i
\(34\) 0.603469 + 0.603469i 0.103494 + 0.103494i
\(35\) −2.77687 3.28807i −0.469376 0.555786i
\(36\) 2.76494 1.16410i 0.460823 0.194016i
\(37\) 3.88598 + 3.88598i 0.638851 + 0.638851i 0.950272 0.311421i \(-0.100805\pi\)
−0.311421 + 0.950272i \(0.600805\pi\)
\(38\) −2.80069 + 4.85094i −0.454332 + 0.786927i
\(39\) 4.04521 4.75776i 0.647752 0.761851i
\(40\) −0.813336 1.40874i −0.128600 0.222741i
\(41\) −2.07420 + 0.555780i −0.323935 + 0.0867982i −0.417122 0.908850i \(-0.636961\pi\)
0.0931868 + 0.995649i \(0.470295\pi\)
\(42\) −1.82010 + 4.20562i −0.280848 + 0.648941i
\(43\) 11.2486 6.49440i 1.71540 0.990386i 0.788534 0.614991i \(-0.210841\pi\)
0.926865 0.375395i \(-0.122493\pi\)
\(44\) −1.31371 + 4.90284i −0.198049 + 0.739130i
\(45\) 4.83449 0.665007i 0.720684 0.0991334i
\(46\) −1.76535 1.76535i −0.260287 0.260287i
\(47\) −7.23248 1.93794i −1.05497 0.282677i −0.310664 0.950520i \(-0.600551\pi\)
−0.744303 + 0.667843i \(0.767218\pi\)
\(48\) −0.958098 + 1.44293i −0.138289 + 0.208269i
\(49\) −2.43588 6.56251i −0.347983 0.937501i
\(50\) 0.609244 + 2.27373i 0.0861601 + 0.321554i
\(51\) 0.817673 1.23145i 0.114497 0.172437i
\(52\) −0.426188 + 3.58027i −0.0591016 + 0.496495i
\(53\) −9.96523 5.75343i −1.36883 0.790294i −0.378051 0.925785i \(-0.623406\pi\)
−0.990779 + 0.135490i \(0.956739\pi\)
\(54\) −2.92429 4.29518i −0.397945 0.584500i
\(55\) −4.12832 + 7.15047i −0.556663 + 0.964169i
\(56\) −0.467704 2.60408i −0.0624996 0.347985i
\(57\) 9.19601 + 3.09193i 1.21804 + 0.409536i
\(58\) −1.49123 5.56536i −0.195809 0.730767i
\(59\) 0.583751 0.583751i 0.0759979 0.0759979i −0.668086 0.744084i \(-0.732886\pi\)
0.744084 + 0.668086i \(0.232886\pi\)
\(60\) −2.11290 + 1.86382i −0.272774 + 0.240619i
\(61\) −2.92693 + 5.06959i −0.374755 + 0.649095i −0.990290 0.139014i \(-0.955607\pi\)
0.615535 + 0.788109i \(0.288940\pi\)
\(62\) 2.85736 4.94909i 0.362885 0.628535i
\(63\) 7.76421 + 1.64833i 0.978199 + 0.207670i
\(64\) 1.00000i 0.125000i
\(65\) −2.17699 + 5.44606i −0.270022 + 0.675500i
\(66\) 8.77433 + 0.549563i 1.08005 + 0.0676465i
\(67\) 11.8441 + 3.17363i 1.44699 + 0.387720i 0.894976 0.446114i \(-0.147192\pi\)
0.552015 + 0.833834i \(0.313859\pi\)
\(68\) 0.853434i 0.103494i
\(69\) −2.39197 + 3.60240i −0.287960 + 0.433678i
\(70\) 0.361477 4.28856i 0.0432048 0.512581i
\(71\) 3.90925 14.5895i 0.463942 1.73146i −0.196431 0.980518i \(-0.562935\pi\)
0.660373 0.750938i \(-0.270398\pi\)
\(72\) 2.77825 + 1.13196i 0.327420 + 0.133403i
\(73\) −10.5632 + 2.83040i −1.23633 + 0.331273i −0.817040 0.576580i \(-0.804387\pi\)
−0.419288 + 0.907853i \(0.637720\pi\)
\(74\) 5.49560i 0.638851i
\(75\) 3.65143 1.81386i 0.421631 0.209447i
\(76\) −5.41052 + 1.44975i −0.620630 + 0.166297i
\(77\) −10.2600 + 8.66481i −1.16923 + 0.987447i
\(78\) 6.22464 0.503847i 0.704802 0.0570494i
\(79\) −6.03981 10.4613i −0.679532 1.17698i −0.975122 0.221669i \(-0.928850\pi\)
0.295590 0.955315i \(-0.404484\pi\)
\(80\) 0.421014 1.57124i 0.0470708 0.175670i
\(81\) −6.28975 + 6.43732i −0.698861 + 0.715257i
\(82\) −1.85968 1.07368i −0.205367 0.118569i
\(83\) −3.18424 3.18424i −0.349516 0.349516i 0.510413 0.859929i \(-0.329492\pi\)
−0.859929 + 0.510413i \(0.829492\pi\)
\(84\) −4.26083 + 1.68682i −0.464894 + 0.184047i
\(85\) −0.359308 + 1.34095i −0.0389724 + 0.145447i
\(86\) 12.5462 + 3.36175i 1.35289 + 0.362506i
\(87\) −8.93753 + 4.43976i −0.958204 + 0.475992i
\(88\) −4.39576 + 2.53789i −0.468590 + 0.270541i
\(89\) 5.02101 5.02101i 0.532226 0.532226i −0.389008 0.921234i \(-0.627182\pi\)
0.921234 + 0.389008i \(0.127182\pi\)
\(90\) 3.88873 + 2.94827i 0.409909 + 0.310775i
\(91\) −6.33425 + 7.13283i −0.664010 + 0.747724i
\(92\) 2.49659i 0.260287i
\(93\) −9.38207 3.15449i −0.972875 0.327105i
\(94\) −3.74381 6.48447i −0.386144 0.668822i
\(95\) −9.11162 −0.934832
\(96\) −1.69778 + 0.342829i −0.173279 + 0.0349898i
\(97\) −14.9348 4.00176i −1.51640 0.406317i −0.597843 0.801613i \(-0.703975\pi\)
−0.918554 + 0.395296i \(0.870642\pi\)
\(98\) 2.91796 6.36282i 0.294759 0.642742i
\(99\) −2.07506 15.0853i −0.208551 1.51613i
\(100\) −1.17697 + 2.03857i −0.117697 + 0.203857i
\(101\) 1.06029 + 1.83647i 0.105502 + 0.182736i 0.913943 0.405842i \(-0.133022\pi\)
−0.808441 + 0.588577i \(0.799688\pi\)
\(102\) 1.44895 0.292582i 0.143467 0.0289699i
\(103\) 2.43480 1.40573i 0.239908 0.138511i −0.375226 0.926933i \(-0.622435\pi\)
0.615135 + 0.788422i \(0.289102\pi\)
\(104\) −2.83300 + 2.23028i −0.277798 + 0.218697i
\(105\) −7.40498 + 0.856533i −0.722652 + 0.0835891i
\(106\) −2.97819 11.1148i −0.289268 1.07956i
\(107\) 12.1409i 1.17370i 0.809694 + 0.586852i \(0.199633\pi\)
−0.809694 + 0.586852i \(0.800367\pi\)
\(108\) 0.969366 5.10493i 0.0932773 0.491222i
\(109\) 1.87488 + 6.99713i 0.179581 + 0.670204i 0.995726 + 0.0923571i \(0.0294401\pi\)
−0.816145 + 0.577847i \(0.803893\pi\)
\(110\) −7.97531 + 2.13698i −0.760416 + 0.203753i
\(111\) 9.33034 1.88405i 0.885597 0.178826i
\(112\) 1.51065 2.17208i 0.142743 0.205242i
\(113\) 9.65602 5.57491i 0.908362 0.524443i 0.0284582 0.999595i \(-0.490940\pi\)
0.879904 + 0.475152i \(0.157607\pi\)
\(114\) 4.31624 + 8.68888i 0.404253 + 0.813788i
\(115\) 1.05110 3.92275i 0.0980154 0.365798i
\(116\) 2.88084 4.98976i 0.267479 0.463288i
\(117\) −2.98941 10.3954i −0.276371 0.961051i
\(118\) 0.825548 0.0759979
\(119\) −1.28924 + 1.85373i −0.118184 + 0.169931i
\(120\) −2.81197 0.176122i −0.256696 0.0160777i
\(121\) 12.7857 + 7.38182i 1.16234 + 0.671075i
\(122\) −5.65440 + 1.51509i −0.511925 + 0.137170i
\(123\) −1.18533 + 3.52542i −0.106878 + 0.317876i
\(124\) 5.51999 1.47908i 0.495710 0.132825i
\(125\) −8.45873 + 8.45873i −0.756571 + 0.756571i
\(126\) 4.32458 + 6.65567i 0.385264 + 0.592935i
\(127\) 6.85083 + 3.95533i 0.607913 + 0.350979i 0.772148 0.635442i \(-0.219182\pi\)
−0.164235 + 0.986421i \(0.552516\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 1.40631 22.4532i 0.123819 1.97690i
\(130\) −5.39031 + 2.31158i −0.472761 + 0.202739i
\(131\) 6.60251 3.81196i 0.576864 0.333053i −0.183022 0.983109i \(-0.558588\pi\)
0.759886 + 0.650056i \(0.225255\pi\)
\(132\) 5.81579 + 6.59299i 0.506200 + 0.573846i
\(133\) −13.9422 5.02443i −1.20894 0.435674i
\(134\) 6.13098 + 10.6192i 0.529636 + 0.917356i
\(135\) 3.67236 7.61298i 0.316066 0.655221i
\(136\) −0.603469 + 0.603469i −0.0517471 + 0.0517471i
\(137\) 5.11722 5.11722i 0.437194 0.437194i −0.453873 0.891067i \(-0.649958\pi\)
0.891067 + 0.453873i \(0.149958\pi\)
\(138\) −4.23867 + 0.855902i −0.360819 + 0.0728592i
\(139\) 2.22956 + 3.86172i 0.189109 + 0.327547i 0.944953 0.327205i \(-0.106107\pi\)
−0.755844 + 0.654751i \(0.772773\pi\)
\(140\) 3.28807 2.77687i 0.277893 0.234688i
\(141\) −9.72573 + 8.57924i −0.819055 + 0.722502i
\(142\) 13.0806 7.55208i 1.09770 0.633757i
\(143\) 16.9936 + 6.79298i 1.42108 + 0.568057i
\(144\) 1.16410 + 2.76494i 0.0970082 + 0.230411i
\(145\) 6.62726 6.62726i 0.550364 0.550364i
\(146\) −9.47070 5.46791i −0.783801 0.452527i
\(147\) −11.8031 2.77271i −0.973499 0.228689i
\(148\) −3.88598 + 3.88598i −0.319425 + 0.319425i
\(149\) 11.8620 3.17841i 0.971772 0.260386i 0.262196 0.965015i \(-0.415553\pi\)
0.709576 + 0.704629i \(0.248887\pi\)
\(150\) 3.86455 + 1.29936i 0.315539 + 0.106092i
\(151\) −0.0546937 + 0.0146551i −0.00445091 + 0.00119262i −0.261044 0.965327i \(-0.584067\pi\)
0.256593 + 0.966520i \(0.417400\pi\)
\(152\) −4.85094 2.80069i −0.393463 0.227166i
\(153\) −0.993481 2.35969i −0.0803182 0.190770i
\(154\) −13.3818 1.12794i −1.07834 0.0908917i
\(155\) 9.29597 0.746671
\(156\) 4.75776 + 4.04521i 0.380926 + 0.323876i
\(157\) −2.03262 + 3.52061i −0.162221 + 0.280975i −0.935665 0.352890i \(-0.885199\pi\)
0.773444 + 0.633865i \(0.218532\pi\)
\(158\) 3.12644 11.6680i 0.248726 0.928258i
\(159\) −17.8495 + 8.86679i −1.41555 + 0.703183i
\(160\) 1.40874 0.813336i 0.111371 0.0642999i
\(161\) 3.77147 5.42279i 0.297233 0.427376i
\(162\) −8.99940 + 0.104345i −0.707059 + 0.00819809i
\(163\) 9.83491 2.63526i 0.770330 0.206409i 0.147813 0.989015i \(-0.452777\pi\)
0.622517 + 0.782606i \(0.286110\pi\)
\(164\) −0.555780 2.07420i −0.0433991 0.161968i
\(165\) 6.36229 + 12.8077i 0.495304 + 0.997080i
\(166\) 4.50320i 0.349516i
\(167\) −2.89910 10.8196i −0.224339 0.837245i −0.982668 0.185373i \(-0.940651\pi\)
0.758329 0.651872i \(-0.226016\pi\)
\(168\) −4.20562 1.82010i −0.324471 0.140424i
\(169\) 12.6367 + 3.05174i 0.972056 + 0.234749i
\(170\) −1.20227 + 0.694129i −0.0922096 + 0.0532373i
\(171\) 13.2721 10.3068i 1.01494 0.788183i
\(172\) 6.49440 + 11.2486i 0.495193 + 0.857699i
\(173\) −5.97152 + 10.3430i −0.454007 + 0.786362i −0.998630 0.0523180i \(-0.983339\pi\)
0.544624 + 0.838680i \(0.316672\pi\)
\(174\) −9.45917 3.18041i −0.717098 0.241106i
\(175\) −5.63604 + 2.64996i −0.426044 + 0.200318i
\(176\) −4.90284 1.31371i −0.369565 0.0990247i
\(177\) −0.283022 1.40160i −0.0212732 0.105351i
\(178\) 7.10078 0.532226
\(179\) −8.54897 14.8072i −0.638980 1.10675i −0.985657 0.168761i \(-0.946023\pi\)
0.346677 0.937985i \(-0.387310\pi\)
\(180\) 0.665007 + 4.83449i 0.0495667 + 0.360342i
\(181\) 10.3755i 0.771203i −0.922665 0.385602i \(-0.873994\pi\)
0.922665 0.385602i \(-0.126006\pi\)
\(182\) −9.52266 + 0.564681i −0.705867 + 0.0418569i
\(183\) 4.51079 + 9.08053i 0.333447 + 0.671252i
\(184\) 1.76535 1.76535i 0.130144 0.130144i
\(185\) −7.74187 + 4.46977i −0.569194 + 0.328624i
\(186\) −4.40357 8.86468i −0.322885 0.649990i
\(187\) 4.18425 + 1.12117i 0.305983 + 0.0819878i
\(188\) 1.93794 7.23248i 0.141339 0.527483i
\(189\) 9.81730 9.62396i 0.714104 0.700040i
\(190\) −6.44289 6.44289i −0.467416 0.467416i
\(191\) −9.07557 5.23979i −0.656685 0.379138i 0.134327 0.990937i \(-0.457113\pi\)
−0.791013 + 0.611799i \(0.790446\pi\)
\(192\) −1.44293 0.958098i −0.104135 0.0691447i
\(193\) 0.790055 2.94853i 0.0568694 0.212240i −0.931644 0.363372i \(-0.881625\pi\)
0.988514 + 0.151133i \(0.0482920\pi\)
\(194\) −7.73081 13.3902i −0.555040 0.961357i
\(195\) 5.77251 + 8.35910i 0.413378 + 0.598607i
\(196\) 6.56251 2.43588i 0.468750 0.173992i
\(197\) −21.4008 + 5.73433i −1.52474 + 0.408554i −0.921301 0.388851i \(-0.872872\pi\)
−0.603444 + 0.797405i \(0.706205\pi\)
\(198\) 9.19965 12.1342i 0.653790 0.862341i
\(199\) 4.95816i 0.351475i −0.984437 0.175737i \(-0.943769\pi\)
0.984437 0.175737i \(-0.0562310\pi\)
\(200\) −2.27373 + 0.609244i −0.160777 + 0.0430801i
\(201\) 15.9272 14.0496i 1.12342 0.990984i
\(202\) −0.548845 + 2.04832i −0.0386166 + 0.144119i
\(203\) 13.7952 6.48624i 0.968233 0.455245i
\(204\) 1.23145 + 0.817673i 0.0862185 + 0.0572486i
\(205\) 3.49306i 0.243966i
\(206\) 2.71567 + 0.727662i 0.189210 + 0.0506986i
\(207\) 2.90627 + 6.90291i 0.202000 + 0.479785i
\(208\) −3.58027 0.426188i −0.248247 0.0295508i
\(209\) 28.4315i 1.96664i
\(210\) −5.84177 4.63045i −0.403120 0.319531i
\(211\) −2.66289 + 4.61226i −0.183321 + 0.317521i −0.943009 0.332766i \(-0.892018\pi\)
0.759689 + 0.650287i \(0.225351\pi\)
\(212\) 5.75343 9.96523i 0.395147 0.684415i
\(213\) −17.3062 19.6189i −1.18580 1.34427i
\(214\) −8.58491 + 8.58491i −0.586852 + 0.586852i
\(215\) 5.46846 + 20.4086i 0.372946 + 1.39185i
\(216\) 4.29518 2.92429i 0.292250 0.198973i
\(217\) 14.2242 + 5.12609i 0.965605 + 0.347982i
\(218\) −3.62198 + 6.27346i −0.245312 + 0.424892i
\(219\) −6.03650 + 17.9538i −0.407909 + 1.21320i
\(220\) −7.15047 4.12832i −0.482084 0.278331i
\(221\) 3.05553 + 0.363723i 0.205537 + 0.0244667i
\(222\) 7.92977 + 5.26532i 0.532212 + 0.353385i
\(223\) 2.72617 + 10.1742i 0.182558 + 0.681315i 0.995140 + 0.0984687i \(0.0313944\pi\)
−0.812582 + 0.582846i \(0.801939\pi\)
\(224\) 2.60408 0.467704i 0.173993 0.0312498i
\(225\) 0.881149 7.00662i 0.0587433 0.467108i
\(226\) 10.7699 + 2.88578i 0.716403 + 0.191959i
\(227\) 2.85759 + 2.85759i 0.189665 + 0.189665i 0.795551 0.605886i \(-0.207181\pi\)
−0.605886 + 0.795551i \(0.707181\pi\)
\(228\) −3.09193 + 9.19601i −0.204768 + 0.609020i
\(229\) 1.58519 5.91603i 0.104753 0.390942i −0.893564 0.448935i \(-0.851803\pi\)
0.998317 + 0.0579930i \(0.0184701\pi\)
\(230\) 3.51704 2.03056i 0.231907 0.133891i
\(231\) 2.67268 + 23.1061i 0.175850 + 1.52027i
\(232\) 5.56536 1.49123i 0.365384 0.0979043i
\(233\) 6.28957 + 10.8939i 0.412044 + 0.713681i 0.995113 0.0987417i \(-0.0314818\pi\)
−0.583069 + 0.812422i \(0.698148\pi\)
\(234\) 5.23680 9.46446i 0.342340 0.618711i
\(235\) 6.08995 10.5481i 0.397264 0.688082i
\(236\) 0.583751 + 0.583751i 0.0379989 + 0.0379989i
\(237\) −20.8816 1.30788i −1.35641 0.0849558i
\(238\) −2.22241 + 0.399155i −0.144058 + 0.0258734i
\(239\) 14.2838 + 14.2838i 0.923944 + 0.923944i 0.997305 0.0733617i \(-0.0233727\pi\)
−0.0733617 + 0.997305i \(0.523373\pi\)
\(240\) −1.86382 2.11290i −0.120309 0.136387i
\(241\) −16.7231 16.7231i −1.07723 1.07723i −0.996757 0.0804706i \(-0.974358\pi\)
−0.0804706 0.996757i \(-0.525642\pi\)
\(242\) 3.82111 + 14.2606i 0.245630 + 0.916705i
\(243\) 3.26241 + 15.2433i 0.209284 + 0.977855i
\(244\) −5.06959 2.92693i −0.324548 0.187378i
\(245\) 11.3368 1.06446i 0.724284 0.0680060i
\(246\) −3.33100 + 1.65469i −0.212377 + 0.105499i
\(247\) 2.88459 + 19.9890i 0.183542 + 1.27187i
\(248\) 4.94909 + 2.85736i 0.314268 + 0.181442i
\(249\) −7.64546 + 1.54383i −0.484511 + 0.0978360i
\(250\) −11.9624 −0.756571
\(251\) 0.773364 + 1.33951i 0.0488143 + 0.0845489i 0.889400 0.457129i \(-0.151122\pi\)
−0.840586 + 0.541678i \(0.817789\pi\)
\(252\) −1.64833 + 7.76421i −0.103835 + 0.489099i
\(253\) −12.2404 3.27979i −0.769545 0.206199i
\(254\) 2.04743 + 7.64111i 0.128467 + 0.479446i
\(255\) 1.59065 + 1.80322i 0.0996105 + 0.112922i
\(256\) 1.00000 0.0625000
\(257\) −6.88973 −0.429770 −0.214885 0.976639i \(-0.568938\pi\)
−0.214885 + 0.976639i \(0.568938\pi\)
\(258\) 16.8713 14.8824i 1.05036 0.926540i
\(259\) −14.3110 + 2.57032i −0.889243 + 0.159712i
\(260\) −5.44606 2.17699i −0.337750 0.135011i
\(261\) −2.15677 + 17.1500i −0.133501 + 1.06156i
\(262\) 7.36415 + 1.97322i 0.454959 + 0.121906i
\(263\) −4.57214 + 2.63972i −0.281930 + 0.162772i −0.634297 0.773090i \(-0.718710\pi\)
0.352367 + 0.935862i \(0.385377\pi\)
\(264\) −0.549563 + 8.77433i −0.0338233 + 0.540023i
\(265\) 13.2355 13.2355i 0.813053 0.813053i
\(266\) −6.30578 13.4114i −0.386632 0.822306i
\(267\) −2.43435 12.0556i −0.148980 0.737790i
\(268\) −3.17363 + 11.8441i −0.193860 + 0.723496i
\(269\) 19.0496i 1.16147i −0.814091 0.580737i \(-0.802764\pi\)
0.814091 0.580737i \(-0.197236\pi\)
\(270\) 7.97994 2.78644i 0.485644 0.169577i
\(271\) 0.181696 + 0.181696i 0.0110372 + 0.0110372i 0.712604 0.701567i \(-0.247516\pi\)
−0.701567 + 0.712604i \(0.747516\pi\)
\(272\) −0.853434 −0.0517471
\(273\) 4.22335 + 15.9738i 0.255609 + 0.966780i
\(274\) 7.23685 0.437194
\(275\) 8.44858 + 8.44858i 0.509468 + 0.509468i
\(276\) −3.60240 2.39197i −0.216839 0.143980i
\(277\) 1.40523i 0.0844322i 0.999109 + 0.0422161i \(0.0134418\pi\)
−0.999109 + 0.0422161i \(0.986558\pi\)
\(278\) −1.15411 + 4.30719i −0.0692187 + 0.258328i
\(279\) −13.5406 + 10.5154i −0.810657 + 0.629539i
\(280\) 4.28856 + 0.361477i 0.256291 + 0.0216024i
\(281\) −18.3020 + 18.3020i −1.09180 + 1.09180i −0.0964690 + 0.995336i \(0.530755\pi\)
−0.995336 + 0.0964690i \(0.969245\pi\)
\(282\) −12.9436 0.810695i −0.770778 0.0482762i
\(283\) 20.8092 12.0142i 1.23698 0.714169i 0.268502 0.963279i \(-0.413471\pi\)
0.968475 + 0.249110i \(0.0801381\pi\)
\(284\) 14.5895 + 3.90925i 0.865728 + 0.231971i
\(285\) −8.72982 + 13.1474i −0.517110 + 0.778787i
\(286\) 7.21294 + 16.8197i 0.426510 + 0.994567i
\(287\) 1.92619 5.34492i 0.113699 0.315501i
\(288\) −1.13196 + 2.77825i −0.0667016 + 0.163710i
\(289\) −16.2716 −0.957156
\(290\) 9.37237 0.550364
\(291\) −20.0832 + 17.7158i −1.17730 + 1.03852i
\(292\) −2.83040 10.5632i −0.165637 0.618164i
\(293\) 12.2954 + 3.29454i 0.718304 + 0.192469i 0.599415 0.800439i \(-0.295400\pi\)
0.118889 + 0.992908i \(0.462067\pi\)
\(294\) −6.38542 10.3066i −0.372405 0.601094i
\(295\) 0.671448 + 1.16298i 0.0390932 + 0.0677114i
\(296\) −5.49560 −0.319425
\(297\) −23.7552 11.4590i −1.37842 0.664921i
\(298\) 10.6352 + 6.14022i 0.616079 + 0.355693i
\(299\) −8.93847 1.06402i −0.516925 0.0615336i
\(300\) 1.81386 + 3.65143i 0.104724 + 0.210816i
\(301\) −2.88635 + 34.2437i −0.166367 + 1.97377i
\(302\) −0.0490370 0.0283115i −0.00282176 0.00162915i
\(303\) 3.66576 + 0.229598i 0.210592 + 0.0131900i
\(304\) −1.44975 5.41052i −0.0831486 0.310315i
\(305\) −6.73329 6.73329i −0.385547 0.385547i
\(306\) 0.966057 2.37105i 0.0552258 0.135544i
\(307\) 6.70956 + 6.70956i 0.382935 + 0.382935i 0.872158 0.489223i \(-0.162720\pi\)
−0.489223 + 0.872158i \(0.662720\pi\)
\(308\) −8.66481 10.2600i −0.493723 0.584615i
\(309\) 0.304402 4.86008i 0.0173168 0.276481i
\(310\) 6.57325 + 6.57325i 0.373335 + 0.373335i
\(311\) −6.66105 + 11.5373i −0.377714 + 0.654219i −0.990729 0.135852i \(-0.956623\pi\)
0.613016 + 0.790071i \(0.289956\pi\)
\(312\) 0.503847 + 6.22464i 0.0285247 + 0.352401i
\(313\) 12.9713 + 22.4670i 0.733183 + 1.26991i 0.955516 + 0.294939i \(0.0952994\pi\)
−0.222333 + 0.974971i \(0.571367\pi\)
\(314\) −3.92673 + 1.05216i −0.221598 + 0.0593770i
\(315\) −5.85877 + 11.5055i −0.330104 + 0.648262i
\(316\) 10.4613 6.03981i 0.588492 0.339766i
\(317\) 1.41750 5.29018i 0.0796148 0.297126i −0.914625 0.404303i \(-0.867514\pi\)
0.994240 + 0.107176i \(0.0341809\pi\)
\(318\) −18.8912 6.35171i −1.05937 0.356186i
\(319\) −20.6794 20.6794i −1.15782 1.15782i
\(320\) 1.57124 + 0.421014i 0.0878352 + 0.0235354i
\(321\) 17.5185 + 11.6322i 0.977785 + 0.649244i
\(322\) 6.50132 1.16766i 0.362305 0.0650714i
\(323\) 1.23726 + 4.61753i 0.0688431 + 0.256926i
\(324\) −6.43732 6.28975i −0.357629 0.349431i
\(325\) 6.79703 + 5.08269i 0.377031 + 0.281937i
\(326\) 8.81774 + 5.09093i 0.488370 + 0.281960i
\(327\) 11.8927 + 3.99862i 0.657667 + 0.221124i
\(328\) 1.07368 1.85968i 0.0592843 0.102683i
\(329\) 15.1351 12.7820i 0.834425 0.704695i
\(330\) −4.55761 + 13.5552i −0.250888 + 0.746192i
\(331\) −0.627222 2.34082i −0.0344752 0.128663i 0.946544 0.322576i \(-0.104549\pi\)
−0.981019 + 0.193913i \(0.937882\pi\)
\(332\) 3.18424 3.18424i 0.174758 0.174758i
\(333\) 6.22082 15.2681i 0.340899 0.836689i
\(334\) 5.60063 9.70058i 0.306453 0.530792i
\(335\) −9.97309 + 17.2739i −0.544888 + 0.943774i
\(336\) −1.68682 4.26083i −0.0920233 0.232447i
\(337\) 7.56541i 0.412114i 0.978540 + 0.206057i \(0.0660633\pi\)
−0.978540 + 0.206057i \(0.933937\pi\)
\(338\) 6.77761 + 11.0934i 0.368653 + 0.603403i
\(339\) 1.20721 19.2743i 0.0655664 1.04683i
\(340\) −1.34095 0.359308i −0.0727234 0.0194862i
\(341\) 29.0067i 1.57080i
\(342\) 16.6728 + 2.09676i 0.901563 + 0.113380i
\(343\) 17.9341 + 4.62270i 0.968348 + 0.249602i
\(344\) −3.36175 + 12.5462i −0.181253 + 0.676446i
\(345\) −4.65320 5.27504i −0.250520 0.283999i
\(346\) −11.5361 + 3.09109i −0.620184 + 0.166178i
\(347\) 22.8686i 1.22765i −0.789443 0.613824i \(-0.789630\pi\)
0.789443 0.613824i \(-0.210370\pi\)
\(348\) −4.43976 8.93753i −0.237996 0.479102i
\(349\) −14.5245 + 3.89183i −0.777480 + 0.208325i −0.625673 0.780085i \(-0.715176\pi\)
−0.151806 + 0.988410i \(0.548509\pi\)
\(350\) −5.85908 2.11148i −0.313181 0.112863i
\(351\) −17.8639 5.64626i −0.953506 0.301375i
\(352\) −2.53789 4.39576i −0.135270 0.234295i
\(353\) −2.42180 + 9.03830i −0.128900 + 0.481060i −0.999949 0.0101361i \(-0.996774\pi\)
0.871049 + 0.491196i \(0.163440\pi\)
\(354\) 0.790956 1.19121i 0.0420388 0.0633120i
\(355\) 21.2778 + 12.2848i 1.12931 + 0.652007i
\(356\) 5.02101 + 5.02101i 0.266113 + 0.266113i
\(357\) 1.43959 + 3.63634i 0.0761910 + 0.192455i
\(358\) 4.42527 16.5153i 0.233883 0.872863i
\(359\) 35.6238 + 9.54536i 1.88015 + 0.503785i 0.999552 + 0.0299221i \(0.00952593\pi\)
0.880599 + 0.473863i \(0.157141\pi\)
\(360\) −2.94827 + 3.88873i −0.155388 + 0.204954i
\(361\) −10.7175 + 6.18776i −0.564080 + 0.325672i
\(362\) 7.33657 7.33657i 0.385602 0.385602i
\(363\) 22.9014 11.3764i 1.20201 0.597104i
\(364\) −7.13283 6.33425i −0.373862 0.332005i
\(365\) 17.7890i 0.931118i
\(366\) −3.23129 + 9.61051i −0.168902 + 0.502349i
\(367\) 16.8558 + 29.1952i 0.879868 + 1.52398i 0.851485 + 0.524379i \(0.175703\pi\)
0.0283834 + 0.999597i \(0.490964\pi\)
\(368\) 2.49659 0.130144
\(369\) 3.95127 + 5.08805i 0.205695 + 0.264873i
\(370\) −8.63494 2.31372i −0.448909 0.120285i
\(371\) 27.5509 12.9539i 1.43037 0.672533i
\(372\) 3.15449 9.38207i 0.163552 0.486438i
\(373\) 10.0898 17.4761i 0.522432 0.904878i −0.477228 0.878780i \(-0.658358\pi\)
0.999659 0.0260985i \(-0.00830836\pi\)
\(374\) 2.16593 + 3.75150i 0.111997 + 0.193985i
\(375\) 4.10107 + 20.3096i 0.211778 + 1.04879i
\(376\) 6.48447 3.74381i 0.334411 0.193072i
\(377\) −16.6369 12.4408i −0.856846 0.640733i
\(378\) 13.7470 + 0.136712i 0.707072 + 0.00703170i
\(379\) 2.45073 + 9.14625i 0.125886 + 0.469811i 0.999870 0.0161431i \(-0.00513874\pi\)
−0.873984 + 0.485954i \(0.838472\pi\)
\(380\) 9.11162i 0.467416i
\(381\) 12.2710 6.09569i 0.628664 0.312291i
\(382\) −2.71231 10.1225i −0.138774 0.517912i
\(383\) 21.2210 5.68615i 1.08434 0.290549i 0.327969 0.944688i \(-0.393636\pi\)
0.756374 + 0.654140i \(0.226969\pi\)
\(384\) −0.342829 1.69778i −0.0174949 0.0866396i
\(385\) −9.29495 19.7689i −0.473715 1.00752i
\(386\) 2.64358 1.52627i 0.134555 0.0776851i
\(387\) −31.0511 23.5416i −1.57842 1.19669i
\(388\) 4.00176 14.9348i 0.203159 0.758199i
\(389\) −1.09507 + 1.89671i −0.0555220 + 0.0961669i −0.892451 0.451145i \(-0.851016\pi\)
0.836929 + 0.547312i \(0.184349\pi\)
\(390\) −1.82899 + 9.99256i −0.0926146 + 0.505993i
\(391\) −2.13067 −0.107753
\(392\) 6.36282 + 2.91796i 0.321371 + 0.147379i
\(393\) 0.825453 13.1792i 0.0416386 0.664803i
\(394\) −19.1874 11.0779i −0.966649 0.558095i
\(395\) 18.9800 5.08569i 0.954989 0.255889i
\(396\) 15.0853 2.07506i 0.758066 0.104275i
\(397\) −10.1722 + 2.72562i −0.510526 + 0.136795i −0.504881 0.863189i \(-0.668464\pi\)
−0.00564529 + 0.999984i \(0.501797\pi\)
\(398\) 3.50595 3.50595i 0.175737 0.175737i
\(399\) −20.6079 + 15.3037i −1.03168 + 0.766142i
\(400\) −2.03857 1.17697i −0.101929 0.0588484i
\(401\) −17.3470 + 17.3470i −0.866269 + 0.866269i −0.992057 0.125788i \(-0.959854\pi\)
0.125788 + 0.992057i \(0.459854\pi\)
\(402\) 21.1968 + 1.32762i 1.05720 + 0.0662156i
\(403\) −2.94295 20.3935i −0.146599 1.01587i
\(404\) −1.83647 + 1.06029i −0.0913678 + 0.0527512i
\(405\) −7.46653 12.5929i −0.371015 0.625748i
\(406\) 14.3411 + 5.16822i 0.711739 + 0.256494i
\(407\) 13.9473 + 24.1574i 0.691340 + 1.19744i
\(408\) 0.292582 + 1.44895i 0.0144850 + 0.0717335i
\(409\) 3.30511 3.30511i 0.163427 0.163427i −0.620656 0.784083i \(-0.713134\pi\)
0.784083 + 0.620656i \(0.213134\pi\)
\(410\) 2.46997 2.46997i 0.121983 0.121983i
\(411\) −2.48100 12.2866i −0.122379 0.606053i
\(412\) 1.40573 + 2.43480i 0.0692556 + 0.119954i
\(413\) 0.386112 + 2.14980i 0.0189994 + 0.105785i
\(414\) −2.82605 + 6.93614i −0.138893 + 0.340893i
\(415\) 6.34383 3.66261i 0.311407 0.179791i
\(416\) −2.23028 2.83300i −0.109348 0.138899i
\(417\) 7.70833 + 0.482796i 0.377479 + 0.0236426i
\(418\) −20.1041 + 20.1041i −0.983322 + 0.983322i
\(419\) −17.5508 10.1330i −0.857413 0.495028i 0.00573204 0.999984i \(-0.498175\pi\)
−0.863145 + 0.504956i \(0.831509\pi\)
\(420\) −0.856533 7.40498i −0.0417945 0.361326i
\(421\) 6.81033 6.81033i 0.331915 0.331915i −0.521398 0.853313i \(-0.674589\pi\)
0.853313 + 0.521398i \(0.174589\pi\)
\(422\) −5.14430 + 1.37841i −0.250421 + 0.0671001i
\(423\) 3.06104 + 22.2533i 0.148833 + 1.08199i
\(424\) 11.1148 2.97819i 0.539781 0.144634i
\(425\) 1.73979 + 1.00447i 0.0843920 + 0.0487237i
\(426\) 1.63535 26.1100i 0.0792329 1.26503i
\(427\) −6.59001 14.0159i −0.318913 0.678277i
\(428\) −12.1409 −0.586852
\(429\) 26.0833 18.0123i 1.25932 0.869641i
\(430\) −10.5643 + 18.2978i −0.509453 + 0.882399i
\(431\) 1.47412 5.50147i 0.0710056 0.264997i −0.921292 0.388871i \(-0.872865\pi\)
0.992298 + 0.123874i \(0.0395319\pi\)
\(432\) 5.10493 + 0.969366i 0.245611 + 0.0466386i
\(433\) −29.1233 + 16.8144i −1.39958 + 0.808047i −0.994348 0.106168i \(-0.966142\pi\)
−0.405230 + 0.914215i \(0.632808\pi\)
\(434\) 6.43337 + 13.6828i 0.308812 + 0.656793i
\(435\) −3.21312 15.9123i −0.154057 0.762934i
\(436\) −6.99713 + 1.87488i −0.335102 + 0.0897903i
\(437\) −3.61942 13.5078i −0.173140 0.646168i
\(438\) −16.9637 + 8.42677i −0.810555 + 0.402647i
\(439\) 1.40144i 0.0668871i −0.999441 0.0334436i \(-0.989353\pi\)
0.999441 0.0334436i \(-0.0106474\pi\)
\(440\) −2.13698 7.97531i −0.101876 0.380208i
\(441\) −15.3093 + 14.3745i −0.729015 + 0.684498i
\(442\) 1.90339 + 2.41778i 0.0905352 + 0.115002i
\(443\) −16.1647 + 9.33267i −0.768007 + 0.443409i −0.832163 0.554531i \(-0.812898\pi\)
0.0641565 + 0.997940i \(0.479564\pi\)
\(444\) 1.88405 + 9.33034i 0.0894131 + 0.442799i
\(445\) 5.77532 + 10.0031i 0.273776 + 0.474195i
\(446\) −5.26656 + 9.12194i −0.249379 + 0.431936i
\(447\) 6.77872 20.1613i 0.320622 0.953595i
\(448\) 2.17208 + 1.51065i 0.102621 + 0.0713714i
\(449\) −13.6899 3.66820i −0.646066 0.173113i −0.0791167 0.996865i \(-0.525210\pi\)
−0.566950 + 0.823752i \(0.691877\pi\)
\(450\) 5.57750 4.33137i 0.262926 0.204183i
\(451\) −10.8996 −0.513242
\(452\) 5.57491 + 9.65602i 0.262222 + 0.454181i
\(453\) −0.0312555 + 0.0929602i −0.00146851 + 0.00436765i
\(454\) 4.04124i 0.189665i
\(455\) −8.54061 12.9557i −0.400390 0.607371i
\(456\) −8.68888 + 4.31624i −0.406894 + 0.202126i
\(457\) −1.40299 + 1.40299i −0.0656291 + 0.0656291i −0.739159 0.673530i \(-0.764777\pi\)
0.673530 + 0.739159i \(0.264777\pi\)
\(458\) 5.30417 3.06236i 0.247847 0.143095i
\(459\) −4.35672 0.827290i −0.203354 0.0386146i
\(460\) 3.92275 + 1.05110i 0.182899 + 0.0490077i
\(461\) −3.48234 + 12.9963i −0.162189 + 0.605297i 0.836193 + 0.548435i \(0.184776\pi\)
−0.998382 + 0.0568621i \(0.981890\pi\)
\(462\) −14.4486 + 18.2284i −0.672211 + 0.848061i
\(463\) −25.6449 25.6449i −1.19182 1.19182i −0.976555 0.215266i \(-0.930938\pi\)
−0.215266 0.976555i \(-0.569062\pi\)
\(464\) 4.98976 + 2.88084i 0.231644 + 0.133740i
\(465\) 8.90645 13.4134i 0.413027 0.622034i
\(466\) −3.25572 + 12.1505i −0.150818 + 0.562862i
\(467\) 5.68598 + 9.84841i 0.263116 + 0.455730i 0.967068 0.254517i \(-0.0819165\pi\)
−0.703952 + 0.710247i \(0.748583\pi\)
\(468\) 10.3954 2.98941i 0.480526 0.138185i
\(469\) −24.7857 + 20.9322i −1.14450 + 0.966559i
\(470\) 11.7649 3.15239i 0.542673 0.145409i
\(471\) 3.13254 + 6.30602i 0.144340 + 0.290566i
\(472\) 0.825548i 0.0379989i
\(473\) 63.6819 17.0635i 2.92810 0.784581i
\(474\) −13.8407 15.6903i −0.635725 0.720681i
\(475\) −3.41261 + 12.7360i −0.156581 + 0.584369i
\(476\) −1.85373 1.28924i −0.0849656 0.0590922i
\(477\) −4.30736 + 34.2508i −0.197220 + 1.56824i
\(478\) 20.2004i 0.923944i
\(479\) −4.45283 1.19313i −0.203455 0.0545156i 0.155652 0.987812i \(-0.450252\pi\)
−0.359107 + 0.933296i \(0.616919\pi\)
\(480\) 0.176122 2.81197i 0.00803884 0.128348i
\(481\) 12.2567 + 15.5690i 0.558858 + 0.709886i
\(482\) 23.6500i 1.07723i
\(483\) −4.21128 10.6375i −0.191620 0.484024i
\(484\) −7.38182 + 12.7857i −0.335537 + 0.581168i
\(485\) 12.5755 21.7814i 0.571024 0.989042i
\(486\) −8.47174 + 13.0855i −0.384286 + 0.593569i
\(487\) 6.55708 6.55708i 0.297130 0.297130i −0.542759 0.839889i \(-0.682620\pi\)
0.839889 + 0.542759i \(0.182620\pi\)
\(488\) −1.51509 5.65440i −0.0685850 0.255963i
\(489\) 5.62031 16.7159i 0.254159 0.755921i
\(490\) 8.76905 + 7.26367i 0.396145 + 0.328139i
\(491\) 13.9676 24.1925i 0.630347 1.09179i −0.357134 0.934053i \(-0.616246\pi\)
0.987481 0.157739i \(-0.0504206\pi\)
\(492\) −3.52542 1.18533i −0.158938 0.0534389i
\(493\) −4.25844 2.45861i −0.191790 0.110730i
\(494\) −12.0947 + 16.1741i −0.544164 + 0.727706i
\(495\) 24.5764 + 3.09071i 1.10463 + 0.138917i
\(496\) 1.47908 + 5.51999i 0.0664126 + 0.247855i
\(497\) 25.7841 + 30.5308i 1.15658 + 1.36949i
\(498\) −6.49781 4.31450i −0.291174 0.193338i
\(499\) −4.88887 1.30997i −0.218856 0.0586423i 0.147725 0.989029i \(-0.452805\pi\)
−0.366581 + 0.930386i \(0.619472\pi\)
\(500\) −8.45873 8.45873i −0.378286 0.378286i
\(501\) −18.3895 6.18302i −0.821584 0.276237i
\(502\) −0.400323 + 1.49403i −0.0178673 + 0.0666816i
\(503\) −19.2261 + 11.1002i −0.857248 + 0.494932i −0.863090 0.505051i \(-0.831474\pi\)
0.00584193 + 0.999983i \(0.498140\pi\)
\(504\) −6.65567 + 4.32458i −0.296467 + 0.192632i
\(505\) −3.33194 + 0.892791i −0.148269 + 0.0397287i
\(506\) −6.33608 10.9744i −0.281673 0.487872i
\(507\) 16.5107 15.3101i 0.733264 0.679944i
\(508\) −3.95533 + 6.85083i −0.175489 + 0.303957i
\(509\) 18.3639 + 18.3639i 0.813966 + 0.813966i 0.985226 0.171260i \(-0.0547838\pi\)
−0.171260 + 0.985226i \(0.554784\pi\)
\(510\) −0.150309 + 2.39983i −0.00665578 + 0.106266i
\(511\) 9.80941 27.2199i 0.433943 1.20414i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −2.15607 29.0257i −0.0951930 1.28152i
\(514\) −4.87178 4.87178i −0.214885 0.214885i
\(515\) 1.18367 + 4.41751i 0.0521586 + 0.194659i
\(516\) 22.4532 + 1.40631i 0.988449 + 0.0619096i
\(517\) −32.9138 19.0028i −1.44755 0.835742i
\(518\) −11.9369 8.30192i −0.524477 0.364766i
\(519\) 9.20291 + 18.5261i 0.403963 + 0.813205i
\(520\) −2.31158 5.39031i −0.101369 0.236381i
\(521\) −24.5520 14.1751i −1.07564 0.621021i −0.145923 0.989296i \(-0.546615\pi\)
−0.929717 + 0.368275i \(0.879949\pi\)
\(522\) −13.6519 + 10.6018i −0.597528 + 0.464028i
\(523\) −42.0930 −1.84060 −0.920299 0.391216i \(-0.872054\pi\)
−0.920299 + 0.391216i \(0.872054\pi\)
\(524\) 3.81196 + 6.60251i 0.166526 + 0.288432i
\(525\) −1.57617 + 10.6713i −0.0687897 + 0.465735i
\(526\) −5.09956 1.36642i −0.222351 0.0595788i
\(527\) −1.26230 4.71095i −0.0549865 0.205212i
\(528\) −6.59299 + 5.81579i −0.286923 + 0.253100i
\(529\) −16.7671 −0.729002
\(530\) 18.7179 0.813053
\(531\) −2.29358 0.934491i −0.0995328 0.0405534i
\(532\) 5.02443 13.9422i 0.217837 0.604469i
\(533\) −7.66307 + 1.10585i −0.331924 + 0.0478995i
\(534\) 6.80324 10.2459i 0.294405 0.443385i
\(535\) −19.0763 5.11148i −0.824741 0.220989i
\(536\) −10.6192 + 6.13098i −0.458678 + 0.264818i
\(537\) −29.5566 1.85122i −1.27546 0.0798859i
\(538\) 13.4701 13.4701i 0.580737 0.580737i
\(539\) −3.32150 35.3749i −0.143067 1.52371i
\(540\) 7.61298 + 3.67236i 0.327611 + 0.158033i
\(541\) −0.184580 + 0.688861i −0.00793570 + 0.0296164i −0.969780 0.243980i \(-0.921547\pi\)
0.961844 + 0.273597i \(0.0882134\pi\)
\(542\) 0.256957i 0.0110372i
\(543\) −14.9711 9.94072i −0.642471 0.426597i
\(544\) −0.603469 0.603469i −0.0258735 0.0258735i
\(545\) −11.7836 −0.504752
\(546\) −8.30885 + 14.2816i −0.355586 + 0.611195i
\(547\) 3.36783 0.143998 0.0719990 0.997405i \(-0.477062\pi\)
0.0719990 + 0.997405i \(0.477062\pi\)
\(548\) 5.11722 + 5.11722i 0.218597 + 0.218597i
\(549\) 17.4243 + 2.19127i 0.743653 + 0.0935213i
\(550\) 11.9481i 0.509468i
\(551\) 8.35297 31.1737i 0.355849 1.32804i
\(552\) −0.855902 4.23867i −0.0364296 0.180410i
\(553\) 31.8467 + 2.68432i 1.35426 + 0.114149i
\(554\) −0.993649 + 0.993649i −0.0422161 + 0.0422161i
\(555\) −0.967897 + 15.4535i −0.0410849 + 0.655963i
\(556\) −3.86172 + 2.22956i −0.163773 + 0.0945546i
\(557\) −1.53348 0.410894i −0.0649756 0.0174102i 0.226185 0.974084i \(-0.427375\pi\)
−0.291160 + 0.956674i \(0.594041\pi\)
\(558\) −17.0102 2.13919i −0.720098 0.0905591i
\(559\) 43.0410 18.4577i 1.82044 0.780677i
\(560\) 2.77687 + 3.28807i 0.117344 + 0.138947i
\(561\) 5.62668 4.96340i 0.237559 0.209555i
\(562\) −25.8829 −1.09180
\(563\) 9.72303 0.409777 0.204889 0.978785i \(-0.434317\pi\)
0.204889 + 0.978785i \(0.434317\pi\)
\(564\) −8.57924 9.72573i −0.361251 0.409527i
\(565\) 4.69422 + 17.5191i 0.197487 + 0.737033i
\(566\) 23.2096 + 6.21900i 0.975573 + 0.261404i
\(567\) −4.48078 23.3864i −0.188175 0.982136i
\(568\) 7.55208 + 13.0806i 0.316878 + 0.548849i
\(569\) 22.2382 0.932275 0.466138 0.884712i \(-0.345645\pi\)
0.466138 + 0.884712i \(0.345645\pi\)
\(570\) −15.4696 + 3.12373i −0.647948 + 0.130838i
\(571\) −0.631338 0.364503i −0.0264207 0.0152540i 0.486731 0.873552i \(-0.338189\pi\)
−0.513152 + 0.858298i \(0.671522\pi\)
\(572\) −6.79298 + 16.9936i −0.284029 + 0.710539i
\(573\) −16.2559 + 8.07520i −0.679101 + 0.337346i
\(574\) 5.14145 2.41741i 0.214600 0.100901i
\(575\) −5.08947 2.93841i −0.212246 0.122540i
\(576\) −2.76494 + 1.16410i −0.115206 + 0.0485041i
\(577\) 10.9682 + 40.9337i 0.456610 + 1.70409i 0.683310 + 0.730128i \(0.260540\pi\)
−0.226700 + 0.973965i \(0.572794\pi\)
\(578\) −11.5058 11.5058i −0.478578 0.478578i
\(579\) −3.49757 3.96497i −0.145354 0.164779i
\(580\) 6.62726 + 6.62726i 0.275182 + 0.275182i
\(581\) 11.7267 2.10617i 0.486506 0.0873785i
\(582\) −26.7279 1.67405i −1.10791 0.0693917i
\(583\) −41.2996 41.2996i −1.71045 1.71045i
\(584\) 5.46791 9.47070i 0.226264 0.391900i
\(585\) 17.5922 0.320505i 0.727349 0.0132512i
\(586\) 6.36456 + 11.0237i 0.262918 + 0.455387i
\(587\) −26.7015 + 7.15465i −1.10209 + 0.295304i −0.763615 0.645672i \(-0.776578\pi\)
−0.338474 + 0.940976i \(0.609911\pi\)
\(588\) 2.77271 11.8031i 0.114345 0.486750i
\(589\) 27.7218 16.0052i 1.14226 0.659482i
\(590\) −0.347567 + 1.29714i −0.0143091 + 0.0534023i
\(591\) −12.2298 + 36.3739i −0.503068 + 1.49622i
\(592\) −3.88598 3.88598i −0.159713 0.159713i
\(593\) −23.9716 6.42316i −0.984394 0.263768i −0.269500 0.963000i \(-0.586858\pi\)
−0.714894 + 0.699233i \(0.753525\pi\)
\(594\) −8.69468 24.9002i −0.356747 1.02167i
\(595\) −2.36988 2.80616i −0.0971554 0.115041i
\(596\) 3.17841 + 11.8620i 0.130193 + 0.485886i
\(597\) −7.15429 4.75041i −0.292806 0.194421i
\(598\) −5.56808 7.07282i −0.227696 0.289229i
\(599\) −13.1943 7.61771i −0.539103 0.311251i 0.205612 0.978634i \(-0.434081\pi\)
−0.744715 + 0.667382i \(0.767415\pi\)
\(600\) −1.29936 + 3.86455i −0.0530461 + 0.157770i
\(601\) 4.51090 7.81311i 0.184004 0.318703i −0.759237 0.650815i \(-0.774428\pi\)
0.943240 + 0.332111i \(0.107761\pi\)
\(602\) −26.2549 + 22.1730i −1.07007 + 0.903703i
\(603\) −5.01286 36.4427i −0.204140 1.48406i
\(604\) −0.0146551 0.0546937i −0.000596308 0.00222545i
\(605\) −16.9816 + 16.9816i −0.690400 + 0.690400i
\(606\) 2.42973 + 2.75443i 0.0987011 + 0.111891i
\(607\) 18.2375 31.5882i 0.740237 1.28213i −0.212151 0.977237i \(-0.568047\pi\)
0.952387 0.304890i \(-0.0986198\pi\)
\(608\) 2.80069 4.85094i 0.113583 0.196732i
\(609\) 3.85796 26.1200i 0.156332 1.05843i
\(610\) 9.52232i 0.385547i
\(611\) −25.0683 10.0207i −1.01416 0.405396i
\(612\) 2.35969 0.993481i 0.0953849 0.0401591i
\(613\) 4.92172 + 1.31877i 0.198786 + 0.0532646i 0.356838 0.934166i \(-0.383855\pi\)
−0.158052 + 0.987431i \(0.550521\pi\)
\(614\) 9.48876i 0.382935i
\(615\) −5.04025 3.34670i −0.203242 0.134952i
\(616\) 1.12794 13.3818i 0.0454459 0.539169i
\(617\) 0.366038 1.36607i 0.0147361 0.0549960i −0.958166 0.286212i \(-0.907604\pi\)
0.972902 + 0.231216i \(0.0742705\pi\)
\(618\) 3.65184 3.22135i 0.146899 0.129582i
\(619\) 0.0928089 0.0248681i 0.00373031 0.000999532i −0.256953 0.966424i \(-0.582719\pi\)
0.260684 + 0.965424i \(0.416052\pi\)
\(620\) 9.29597i 0.373335i
\(621\) 12.7449 + 2.42011i 0.511436 + 0.0971155i
\(622\) −12.8682 + 3.44801i −0.515966 + 0.138253i
\(623\) 3.32106 + 18.4910i 0.133056 + 0.740827i
\(624\) −4.04521 + 4.75776i −0.161938 + 0.190463i
\(625\) −3.84464 6.65912i −0.153786 0.266365i
\(626\) −6.71445 + 25.0587i −0.268364 + 1.00155i
\(627\) 41.0246 + 27.2401i 1.63837 + 1.08787i
\(628\) −3.52061 2.03262i −0.140487 0.0811105i
\(629\) 3.31643 + 3.31643i 0.132235 + 0.132235i
\(630\) −12.2784 + 3.99285i −0.489183 + 0.159079i
\(631\) −2.23294 + 8.33346i −0.0888921 + 0.331750i −0.996023 0.0890992i \(-0.971601\pi\)
0.907131 + 0.420849i \(0.138268\pi\)
\(632\) 11.6680 + 3.12644i 0.464129 + 0.124363i
\(633\) 4.10386 + 8.26135i 0.163114 + 0.328359i
\(634\) 4.74305 2.73840i 0.188371 0.108756i
\(635\) −9.09909 + 9.09909i −0.361086 + 0.361086i
\(636\) −8.86679 17.8495i −0.351591 0.707777i
\(637\) −5.92427 24.5337i −0.234728 0.972061i
\(638\) 29.2451i 1.15782i
\(639\) −44.8898 + 6.17480i −1.77581 + 0.244271i
\(640\) 0.813336 + 1.40874i 0.0321499 + 0.0556853i
\(641\) −38.6190 −1.52536 −0.762680 0.646776i \(-0.776117\pi\)
−0.762680 + 0.646776i \(0.776117\pi\)
\(642\) 4.16225 + 20.6126i 0.164271 + 0.813515i
\(643\) −11.1923 2.99896i −0.441380 0.118268i 0.0312830 0.999511i \(-0.490041\pi\)
−0.472663 + 0.881243i \(0.656707\pi\)
\(644\) 5.42279 + 3.77147i 0.213688 + 0.148617i
\(645\) 34.6875 + 11.6628i 1.36582 + 0.459222i
\(646\) −2.39021 + 4.13996i −0.0940414 + 0.162885i
\(647\) 22.8744 + 39.6196i 0.899285 + 1.55761i 0.828410 + 0.560122i \(0.189246\pi\)
0.0708753 + 0.997485i \(0.477421\pi\)
\(648\) −0.104345 8.99940i −0.00409904 0.353530i
\(649\) 3.62891 2.09515i 0.142447 0.0822420i
\(650\) 1.21222 + 8.40023i 0.0475474 + 0.329484i
\(651\) 21.0248 15.6133i 0.824027 0.611934i
\(652\) 2.63526 + 9.83491i 0.103205 + 0.385165i
\(653\) 14.7980i 0.579090i −0.957164 0.289545i \(-0.906496\pi\)
0.957164 0.289545i \(-0.0935040\pi\)
\(654\) 5.58195 + 11.2369i 0.218272 + 0.439396i
\(655\) 3.20978 + 11.9791i 0.125416 + 0.468060i
\(656\) 2.07420 0.555780i 0.0809838 0.0216996i
\(657\) 20.1225 + 25.9117i 0.785052 + 1.01091i
\(658\) 19.7404 + 1.66389i 0.769560 + 0.0648652i
\(659\) −32.1017 + 18.5340i −1.25051 + 0.721980i −0.971210 0.238225i \(-0.923435\pi\)
−0.279296 + 0.960205i \(0.590101\pi\)
\(660\) −12.8077 + 6.36229i −0.498540 + 0.247652i
\(661\) −2.45433 + 9.15969i −0.0954625 + 0.356271i −0.997089 0.0762443i \(-0.975707\pi\)
0.901627 + 0.432515i \(0.142374\pi\)
\(662\) 1.21170 2.09872i 0.0470940 0.0815692i
\(663\) 3.45232 4.06043i 0.134077 0.157694i
\(664\) 4.50320 0.174758
\(665\) 13.7645 19.7912i 0.533763 0.767469i
\(666\) 15.1950 6.39742i 0.588794 0.247895i
\(667\) 12.4574 + 7.19227i 0.482352 + 0.278486i
\(668\) 10.8196 2.89910i 0.418622 0.112170i
\(669\) 17.2926 + 5.81421i 0.668571 + 0.224790i
\(670\) −19.2665 + 5.16245i −0.744331 + 0.199443i
\(671\) −21.0102 + 21.0102i −0.811092 + 0.811092i
\(672\) 1.82010 4.20562i 0.0702119 0.162235i
\(673\) −5.16640 2.98282i −0.199150 0.114979i 0.397109 0.917772i \(-0.370014\pi\)
−0.596259 + 0.802792i \(0.703347\pi\)
\(674\) −5.34955 + 5.34955i −0.206057 + 0.206057i
\(675\) −9.26585 7.98447i −0.356643 0.307322i
\(676\) −3.05174 + 12.6367i −0.117375 + 0.486028i
\(677\) 6.02868 3.48066i 0.231701 0.133773i −0.379655 0.925128i \(-0.623957\pi\)
0.611357 + 0.791355i \(0.290624\pi\)
\(678\) 14.4826 12.7753i 0.556201 0.490634i
\(679\) 31.2534 26.3943i 1.19939 1.01292i
\(680\) −0.694129 1.20227i −0.0266186 0.0461048i
\(681\) 6.86115 1.38545i 0.262920 0.0530907i
\(682\) 20.5108 20.5108i 0.785401 0.785401i
\(683\) −23.6186 + 23.6186i −0.903741 + 0.903741i −0.995757 0.0920164i \(-0.970669\pi\)
0.0920164 + 0.995757i \(0.470669\pi\)
\(684\) 10.3068 + 13.2721i 0.394092 + 0.507472i
\(685\) 5.88599 + 10.1948i 0.224892 + 0.389524i
\(686\) 9.41255 + 15.9500i 0.359373 + 0.608975i
\(687\) −7.01765 7.95546i −0.267740 0.303520i
\(688\) −11.2486 + 6.49440i −0.428850 + 0.247597i
\(689\) −33.2262 24.8459i −1.26582 0.946554i
\(690\) 0.439704 7.02033i 0.0167393 0.267259i
\(691\) 14.9779 14.9779i 0.569785 0.569785i −0.362283 0.932068i \(-0.618003\pi\)
0.932068 + 0.362283i \(0.118003\pi\)
\(692\) −10.3430 5.97152i −0.393181 0.227003i
\(693\) 35.9012 + 18.2814i 1.36378 + 0.694454i
\(694\) 16.1705 16.1705i 0.613824 0.613824i
\(695\) −7.00638 + 1.87735i −0.265767 + 0.0712121i
\(696\) 3.18041 9.45917i 0.120553 0.358549i
\(697\) −1.77019 + 0.474322i −0.0670508 + 0.0179662i
\(698\) −13.0223 7.51845i −0.492902 0.284577i
\(699\) 21.7451 + 1.36196i 0.822476 + 0.0515142i
\(700\) −2.64996 5.63604i −0.100159 0.213022i
\(701\) 33.5732 1.26804 0.634021 0.773315i \(-0.281403\pi\)
0.634021 + 0.773315i \(0.281403\pi\)
\(702\) −8.63920 16.6242i −0.326065 0.627440i
\(703\) −15.3915 + 26.6589i −0.580501 + 1.00546i
\(704\) 1.31371 4.90284i 0.0495124 0.184783i
\(705\) −9.38541 18.8935i −0.353475 0.711570i
\(706\) −8.10352 + 4.67857i −0.304980 + 0.176080i
\(707\) −5.59069 0.471232i −0.210259 0.0177225i
\(708\) 1.40160 0.283022i 0.0526754 0.0106366i
\(709\) 1.54637 0.414349i 0.0580752 0.0155612i −0.229664 0.973270i \(-0.573763\pi\)
0.287740 + 0.957709i \(0.407096\pi\)
\(710\) 6.35906 + 23.7323i 0.238651 + 0.890659i
\(711\) −21.8938 + 28.8776i −0.821081 + 1.08300i
\(712\) 7.10078i 0.266113i
\(713\) 3.69265 + 13.7811i 0.138291 + 0.516108i
\(714\) −1.55334 + 3.58922i −0.0581322 + 0.134323i
\(715\) −17.8280 + 23.8412i −0.666728 + 0.891610i
\(716\) 14.8072 8.54897i 0.553373 0.319490i
\(717\) 34.2959 6.92527i 1.28080 0.258629i
\(718\) 18.4402 + 31.9394i 0.688183 + 1.19197i
\(719\) 24.5283 42.4842i 0.914750 1.58439i 0.107482 0.994207i \(-0.465721\pi\)
0.807267 0.590186i \(-0.200946\pi\)
\(720\) −4.83449 + 0.665007i −0.180171 + 0.0247833i
\(721\) −0.624762 + 7.41217i −0.0232673 + 0.276043i
\(722\) −11.9538 3.20302i −0.444876 0.119204i
\(723\) −40.1526 + 8.10790i −1.49329 + 0.301536i
\(724\) 10.3755 0.385602
\(725\) −6.78132 11.7456i −0.251852 0.436220i
\(726\) 24.2380 + 8.14943i 0.899558 + 0.302454i
\(727\) 8.58214i 0.318294i 0.987255 + 0.159147i \(0.0508744\pi\)
−0.987255 + 0.159147i \(0.949126\pi\)
\(728\) −0.564681 9.52266i −0.0209285 0.352933i
\(729\) 25.1207 + 9.89709i 0.930395 + 0.366559i
\(730\) 12.5787 12.5787i 0.465559 0.465559i
\(731\) 9.59996 5.54254i 0.355067 0.204998i
\(732\) −9.08053 + 4.51079i −0.335626 + 0.166724i
\(733\) −43.0122 11.5251i −1.58869 0.425689i −0.647089 0.762414i \(-0.724014\pi\)
−0.941603 + 0.336726i \(0.890681\pi\)
\(734\) −8.72523 + 32.5630i −0.322054 + 1.20192i
\(735\) 9.32585 17.3781i 0.343989 0.641002i
\(736\) 1.76535 + 1.76535i 0.0650718 + 0.0650718i
\(737\) 53.9006 + 31.1196i 1.98546 + 1.14630i
\(738\) −0.803824 + 6.39176i −0.0295892 + 0.235284i
\(739\) 13.0641 48.7560i 0.480572 1.79352i −0.118650 0.992936i \(-0.537857\pi\)
0.599222 0.800583i \(-0.295477\pi\)
\(740\) −4.46977 7.74187i −0.164312 0.284597i
\(741\) 31.6065 + 14.9892i 1.16109 + 0.550641i
\(742\) 28.6412 + 10.3216i 1.05145 + 0.378919i
\(743\) −29.5583 + 7.92014i −1.08439 + 0.290562i −0.756393 0.654117i \(-0.773040\pi\)
−0.327997 + 0.944679i \(0.606374\pi\)
\(744\) 8.86468 4.40357i 0.324995 0.161443i
\(745\) 19.9762i 0.731873i
\(746\) 19.4921 5.22288i 0.713655 0.191223i
\(747\) −5.09746 + 12.5110i −0.186506 + 0.457754i
\(748\) −1.12117 + 4.18425i −0.0409939 + 0.152991i
\(749\) −26.3710 18.3406i −0.963576 0.670152i
\(750\) −11.4612 + 17.2610i −0.418503 + 0.630282i
\(751\) 31.1811i 1.13782i −0.822401 0.568908i \(-0.807366\pi\)
0.822401 0.568908i \(-0.192634\pi\)
\(752\) 7.23248 + 1.93794i 0.263742 + 0.0706693i
\(753\) 2.67377 + 0.167467i 0.0974377 + 0.00610282i
\(754\) −2.96714 20.5611i −0.108057 0.748789i
\(755\) 0.0921071i 0.00335212i
\(756\) 9.62396 + 9.81730i 0.350020 + 0.357052i
\(757\) −5.92020 + 10.2541i −0.215173 + 0.372691i −0.953326 0.301942i \(-0.902365\pi\)
0.738153 + 0.674633i \(0.235698\pi\)
\(758\) −4.73445 + 8.20030i −0.171963 + 0.297848i
\(759\) −16.4600 + 14.5196i −0.597459 + 0.527029i
\(760\) 6.44289 6.44289i 0.233708 0.233708i
\(761\) −5.21146 19.4494i −0.188915 0.705042i −0.993758 0.111554i \(-0.964417\pi\)
0.804843 0.593488i \(-0.202249\pi\)
\(762\) 12.9872 + 4.36663i 0.470478 + 0.158186i
\(763\) −18.0306 6.49782i −0.652752 0.235237i
\(764\) 5.23979 9.07557i 0.189569 0.328343i
\(765\) 4.12592 0.567540i 0.149173 0.0205194i
\(766\) 19.0262 + 10.9848i 0.687446 + 0.396897i
\(767\) 2.33878 1.84120i 0.0844483 0.0664819i
\(768\) 0.958098 1.44293i 0.0345724 0.0520673i
\(769\) −9.69031 36.1647i −0.349442 1.30413i −0.887337 0.461122i \(-0.847447\pi\)
0.537895 0.843012i \(-0.319220\pi\)
\(770\) 7.40620 20.5512i 0.266901 0.740615i
\(771\) −6.60104 + 9.94141i −0.237731 + 0.358031i
\(772\) 2.94853 + 0.790055i 0.106120 + 0.0284347i
\(773\) −4.54294 4.54294i −0.163398 0.163398i 0.620672 0.784070i \(-0.286860\pi\)
−0.784070 + 0.620672i \(0.786860\pi\)