Properties

Label 546.2.u.a.185.3
Level $546$
Weight $2$
Character 546.185
Analytic conductor $4.360$
Analytic rank $0$
Dimension $76$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 185.3
Character \(\chi\) \(=\) 546.185
Dual form 546.2.u.a.425.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.56696 - 0.737995i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.41378 - 2.44875i) q^{5} +(0.988029 + 1.42260i) q^{6} +(-2.45899 + 0.976416i) q^{7} -1.00000i q^{8} +(1.91073 + 2.31282i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.56696 - 0.737995i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-1.41378 - 2.44875i) q^{5} +(0.988029 + 1.42260i) q^{6} +(-2.45899 + 0.976416i) q^{7} -1.00000i q^{8} +(1.91073 + 2.31282i) q^{9} +2.82757i q^{10} +5.36598i q^{11} +(-0.144357 - 1.72602i) q^{12} +(2.04050 + 2.97260i) q^{13} +(2.61775 + 0.383892i) q^{14} +(0.408180 + 4.88045i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.66228 - 6.34326i) q^{17} +(-0.498329 - 2.95832i) q^{18} -2.51423i q^{19} +(1.41378 - 2.44875i) q^{20} +(4.57372 + 0.284715i) q^{21} +(2.68299 - 4.64708i) q^{22} +(4.19693 + 2.42310i) q^{23} +(-0.737995 + 1.56696i) q^{24} +(-1.49757 + 2.59386i) q^{25} +(-0.280819 - 3.59460i) q^{26} +(-1.28718 - 5.03420i) q^{27} +(-2.07509 - 1.64134i) q^{28} +(5.21665 - 3.01183i) q^{29} +(2.08673 - 4.43068i) q^{30} +(1.76151 + 1.01701i) q^{31} +(0.866025 - 0.500000i) q^{32} +(3.96007 - 8.40828i) q^{33} +7.32456i q^{34} +(5.86747 + 4.64099i) q^{35} +(-1.04760 + 2.81115i) q^{36} +(-0.319604 + 0.553571i) q^{37} +(-1.25712 + 2.17739i) q^{38} +(-1.00361 - 6.16383i) q^{39} +(-2.44875 + 1.41378i) q^{40} +(5.97580 + 10.3504i) q^{41} +(-3.81860 - 2.53343i) q^{42} +(-0.836889 + 1.44953i) q^{43} +(-4.64708 + 2.68299i) q^{44} +(2.96215 - 7.94871i) q^{45} +(-2.42310 - 4.19693i) q^{46} +(2.48934 + 4.31167i) q^{47} +(1.42260 - 0.988029i) q^{48} +(5.09322 - 4.80199i) q^{49} +(2.59386 - 1.49757i) q^{50} +(1.05736 + 12.6424i) q^{51} +(-1.55410 + 3.25342i) q^{52} +(-2.82599 - 1.63159i) q^{53} +(-1.40237 + 5.00334i) q^{54} +(13.1399 - 7.58634i) q^{55} +(0.976416 + 2.45899i) q^{56} +(-1.85549 + 3.93970i) q^{57} -6.02367 q^{58} +(2.33528 + 4.04482i) q^{59} +(-4.02250 + 2.79372i) q^{60} -5.59088i q^{61} +(-1.01701 - 1.76151i) q^{62} +(-6.95672 - 3.82152i) q^{63} -1.00000 q^{64} +(4.39433 - 9.19927i) q^{65} +(-7.63366 + 5.30175i) q^{66} +4.38627 q^{67} +(3.66228 - 6.34326i) q^{68} +(-4.78818 - 6.89421i) q^{69} +(-2.76088 - 6.95295i) q^{70} +(7.14590 + 4.12569i) q^{71} +(2.31282 - 1.91073i) q^{72} +(1.55287 + 0.896552i) q^{73} +(0.553571 - 0.319604i) q^{74} +(4.26089 - 2.95928i) q^{75} +(2.17739 - 1.25712i) q^{76} +(-5.23943 - 13.1949i) q^{77} +(-2.21276 + 5.83984i) q^{78} +(2.02845 + 3.51337i) q^{79} +2.82757 q^{80} +(-1.69825 + 8.83832i) q^{81} -11.9516i q^{82} +12.1228 q^{83} +(2.04029 + 4.10332i) q^{84} +(-10.3553 + 17.9360i) q^{85} +(1.44953 - 0.836889i) q^{86} +(-10.3970 + 0.869561i) q^{87} +5.36598 q^{88} +(-8.10377 + 14.0361i) q^{89} +(-6.53965 + 5.40271i) q^{90} +(-7.92005 - 5.31722i) q^{91} +4.84619i q^{92} +(-2.00966 - 2.89359i) q^{93} -4.97869i q^{94} +(-6.15672 + 3.55458i) q^{95} +(-1.72602 + 0.144357i) q^{96} +(4.57690 + 2.64248i) q^{97} +(-6.81185 + 1.61203i) q^{98} +(-12.4105 + 10.2529i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + O(q^{10}) \) \( 76q + 38q^{4} + 10q^{7} - 8q^{9} + 2q^{13} + 12q^{15} - 38q^{16} - 8q^{21} - 42q^{25} + 20q^{28} + 20q^{30} + 12q^{31} - 4q^{36} - 6q^{37} + 12q^{39} + 8q^{42} - 2q^{43} - 4q^{46} + 2q^{49} + 10q^{51} - 14q^{52} + 18q^{54} + 24q^{55} + 8q^{57} + 16q^{58} - 12q^{60} + 32q^{63} - 76q^{64} - 24q^{66} + 96q^{67} - 30q^{69} - 54q^{73} - 12q^{75} + 18q^{76} - 12q^{78} - 60q^{79} + 8q^{81} + 8q^{84} + 8q^{85} - 24q^{87} + 48q^{91} + 16q^{93} - 66q^{97} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.56696 0.737995i −0.904685 0.426082i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −1.41378 2.44875i −0.632263 1.09511i −0.987088 0.160179i \(-0.948793\pi\)
0.354825 0.934933i \(-0.384541\pi\)
\(6\) 0.988029 + 1.42260i 0.403361 + 0.580775i
\(7\) −2.45899 + 0.976416i −0.929409 + 0.369050i
\(8\) 1.00000i 0.353553i
\(9\) 1.91073 + 2.31282i 0.636909 + 0.770939i
\(10\) 2.82757i 0.894155i
\(11\) 5.36598i 1.61790i 0.587874 + 0.808952i \(0.299965\pi\)
−0.587874 + 0.808952i \(0.700035\pi\)
\(12\) −0.144357 1.72602i −0.0416724 0.498260i
\(13\) 2.04050 + 2.97260i 0.565932 + 0.824452i
\(14\) 2.61775 + 0.383892i 0.699624 + 0.102599i
\(15\) 0.408180 + 4.88045i 0.105392 + 1.26013i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.66228 6.34326i −0.888234 1.53847i −0.841962 0.539537i \(-0.818599\pi\)
−0.0462722 0.998929i \(-0.514734\pi\)
\(18\) −0.498329 2.95832i −0.117457 0.697283i
\(19\) 2.51423i 0.576805i −0.957509 0.288402i \(-0.906876\pi\)
0.957509 0.288402i \(-0.0931241\pi\)
\(20\) 1.41378 2.44875i 0.316132 0.547556i
\(21\) 4.57372 + 0.284715i 0.998068 + 0.0621300i
\(22\) 2.68299 4.64708i 0.572016 0.990760i
\(23\) 4.19693 + 2.42310i 0.875120 + 0.505251i 0.869046 0.494731i \(-0.164733\pi\)
0.00607355 + 0.999982i \(0.498067\pi\)
\(24\) −0.737995 + 1.56696i −0.150643 + 0.319854i
\(25\) −1.49757 + 2.59386i −0.299514 + 0.518773i
\(26\) −0.280819 3.59460i −0.0550731 0.704959i
\(27\) −1.28718 5.03420i −0.247719 0.968832i
\(28\) −2.07509 1.64134i −0.392156 0.310183i
\(29\) 5.21665 3.01183i 0.968707 0.559283i 0.0698653 0.997556i \(-0.477743\pi\)
0.898842 + 0.438273i \(0.144410\pi\)
\(30\) 2.08673 4.43068i 0.380983 0.808929i
\(31\) 1.76151 + 1.01701i 0.316376 + 0.182660i 0.649776 0.760126i \(-0.274863\pi\)
−0.333400 + 0.942785i \(0.608196\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 3.96007 8.40828i 0.689360 1.46369i
\(34\) 7.32456i 1.25615i
\(35\) 5.86747 + 4.64099i 0.991783 + 0.784470i
\(36\) −1.04760 + 2.81115i −0.174599 + 0.468524i
\(37\) −0.319604 + 0.553571i −0.0525426 + 0.0910065i −0.891100 0.453806i \(-0.850066\pi\)
0.838558 + 0.544813i \(0.183399\pi\)
\(38\) −1.25712 + 2.17739i −0.203931 + 0.353219i
\(39\) −1.00361 6.16383i −0.160706 0.987002i
\(40\) −2.44875 + 1.41378i −0.387181 + 0.223539i
\(41\) 5.97580 + 10.3504i 0.933263 + 1.61646i 0.777703 + 0.628632i \(0.216385\pi\)
0.155560 + 0.987826i \(0.450282\pi\)
\(42\) −3.81860 2.53343i −0.589223 0.390917i
\(43\) −0.836889 + 1.44953i −0.127624 + 0.221052i −0.922756 0.385385i \(-0.874069\pi\)
0.795131 + 0.606437i \(0.207402\pi\)
\(44\) −4.64708 + 2.68299i −0.700573 + 0.404476i
\(45\) 2.96215 7.94871i 0.441571 1.18492i
\(46\) −2.42310 4.19693i −0.357266 0.618803i
\(47\) 2.48934 + 4.31167i 0.363108 + 0.628922i 0.988471 0.151413i \(-0.0483822\pi\)
−0.625362 + 0.780334i \(0.715049\pi\)
\(48\) 1.42260 0.988029i 0.205335 0.142610i
\(49\) 5.09322 4.80199i 0.727603 0.685998i
\(50\) 2.59386 1.49757i 0.366828 0.211788i
\(51\) 1.05736 + 12.6424i 0.148059 + 1.77029i
\(52\) −1.55410 + 3.25342i −0.215515 + 0.451169i
\(53\) −2.82599 1.63159i −0.388179 0.224115i 0.293192 0.956054i \(-0.405283\pi\)
−0.681371 + 0.731938i \(0.738616\pi\)
\(54\) −1.40237 + 5.00334i −0.190838 + 0.680868i
\(55\) 13.1399 7.58634i 1.77179 1.02294i
\(56\) 0.976416 + 2.45899i 0.130479 + 0.328596i
\(57\) −1.85549 + 3.93970i −0.245766 + 0.521826i
\(58\) −6.02367 −0.790946
\(59\) 2.33528 + 4.04482i 0.304027 + 0.526590i 0.977044 0.213036i \(-0.0683353\pi\)
−0.673017 + 0.739627i \(0.735002\pi\)
\(60\) −4.02250 + 2.79372i −0.519303 + 0.360668i
\(61\) 5.59088i 0.715838i −0.933753 0.357919i \(-0.883486\pi\)
0.933753 0.357919i \(-0.116514\pi\)
\(62\) −1.01701 1.76151i −0.129160 0.223712i
\(63\) −6.95672 3.82152i −0.876464 0.481467i
\(64\) −1.00000 −0.125000
\(65\) 4.39433 9.19927i 0.545050 1.14103i
\(66\) −7.63366 + 5.30175i −0.939639 + 0.652600i
\(67\) 4.38627 0.535869 0.267934 0.963437i \(-0.413659\pi\)
0.267934 + 0.963437i \(0.413659\pi\)
\(68\) 3.66228 6.34326i 0.444117 0.769233i
\(69\) −4.78818 6.89421i −0.576429 0.829965i
\(70\) −2.76088 6.95295i −0.329988 0.831036i
\(71\) 7.14590 + 4.12569i 0.848062 + 0.489629i 0.859996 0.510300i \(-0.170466\pi\)
−0.0119346 + 0.999929i \(0.503799\pi\)
\(72\) 2.31282 1.91073i 0.272568 0.225181i
\(73\) 1.55287 + 0.896552i 0.181750 + 0.104934i 0.588115 0.808778i \(-0.299870\pi\)
−0.406365 + 0.913711i \(0.633204\pi\)
\(74\) 0.553571 0.319604i 0.0643513 0.0371532i
\(75\) 4.26089 2.95928i 0.492005 0.341709i
\(76\) 2.17739 1.25712i 0.249764 0.144201i
\(77\) −5.23943 13.1949i −0.597088 1.50370i
\(78\) −2.21276 + 5.83984i −0.250546 + 0.661231i
\(79\) 2.02845 + 3.51337i 0.228218 + 0.395285i 0.957280 0.289162i \(-0.0933767\pi\)
−0.729062 + 0.684448i \(0.760043\pi\)
\(80\) 2.82757 0.316132
\(81\) −1.69825 + 8.83832i −0.188694 + 0.982036i
\(82\) 11.9516i 1.31983i
\(83\) 12.1228 1.33065 0.665327 0.746552i \(-0.268292\pi\)
0.665327 + 0.746552i \(0.268292\pi\)
\(84\) 2.04029 + 4.10332i 0.222614 + 0.447709i
\(85\) −10.3553 + 17.9360i −1.12320 + 1.94543i
\(86\) 1.44953 0.836889i 0.156307 0.0902441i
\(87\) −10.3970 + 0.869561i −1.11467 + 0.0932267i
\(88\) 5.36598 0.572016
\(89\) −8.10377 + 14.0361i −0.858998 + 1.48783i 0.0138871 + 0.999904i \(0.495579\pi\)
−0.872885 + 0.487925i \(0.837754\pi\)
\(90\) −6.53965 + 5.40271i −0.689339 + 0.569495i
\(91\) −7.92005 5.31722i −0.830247 0.557396i
\(92\) 4.84619i 0.505251i
\(93\) −2.00966 2.89359i −0.208392 0.300051i
\(94\) 4.97869i 0.513513i
\(95\) −6.15672 + 3.55458i −0.631666 + 0.364692i
\(96\) −1.72602 + 0.144357i −0.176162 + 0.0147334i
\(97\) 4.57690 + 2.64248i 0.464714 + 0.268303i 0.714024 0.700121i \(-0.246871\pi\)
−0.249310 + 0.968424i \(0.580204\pi\)
\(98\) −6.81185 + 1.61203i −0.688101 + 0.162840i
\(99\) −12.4105 + 10.2529i −1.24731 + 1.03046i
\(100\) −2.99514 −0.299514
\(101\) 0.0363957 0.00362151 0.00181076 0.999998i \(-0.499424\pi\)
0.00181076 + 0.999998i \(0.499424\pi\)
\(102\) 5.40549 11.4773i 0.535224 1.13642i
\(103\) −15.9496 + 9.20853i −1.57156 + 0.907343i −0.575587 + 0.817741i \(0.695226\pi\)
−0.995978 + 0.0896026i \(0.971440\pi\)
\(104\) 2.97260 2.04050i 0.291488 0.200087i
\(105\) −5.76906 11.6024i −0.563002 1.13228i
\(106\) 1.63159 + 2.82599i 0.158474 + 0.274484i
\(107\) −4.82027 2.78298i −0.465993 0.269041i 0.248568 0.968614i \(-0.420040\pi\)
−0.714561 + 0.699573i \(0.753373\pi\)
\(108\) 3.71615 3.63183i 0.357587 0.349473i
\(109\) 2.93599 5.08529i 0.281217 0.487082i −0.690468 0.723363i \(-0.742595\pi\)
0.971685 + 0.236281i \(0.0759285\pi\)
\(110\) −15.1727 −1.44666
\(111\) 0.909340 0.631557i 0.0863107 0.0599447i
\(112\) 0.383892 2.61775i 0.0362744 0.247354i
\(113\) −0.869871 0.502220i −0.0818306 0.0472449i 0.458526 0.888681i \(-0.348377\pi\)
−0.540357 + 0.841436i \(0.681711\pi\)
\(114\) 3.57675 2.48414i 0.334994 0.232661i
\(115\) 13.7029i 1.27781i
\(116\) 5.21665 + 3.01183i 0.484354 + 0.279642i
\(117\) −2.97626 + 10.3991i −0.275156 + 0.961400i
\(118\) 4.67055i 0.429959i
\(119\) 15.1992 + 12.0221i 1.39330 + 1.10206i
\(120\) 4.88045 0.408180i 0.445522 0.0372616i
\(121\) −17.7938 −1.61762
\(122\) −2.79544 + 4.84184i −0.253087 + 0.438360i
\(123\) −1.72530 20.6287i −0.155565 1.86003i
\(124\) 2.03401i 0.182660i
\(125\) −5.66889 −0.507041
\(126\) 4.11394 + 6.78790i 0.366499 + 0.604714i
\(127\) 5.94284 + 10.2933i 0.527341 + 0.913382i 0.999492 + 0.0318643i \(0.0101444\pi\)
−0.472151 + 0.881518i \(0.656522\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 2.38112 1.65374i 0.209646 0.145604i
\(130\) −8.40524 + 5.76964i −0.737188 + 0.506031i
\(131\) −3.27806 5.67776i −0.286405 0.496068i 0.686544 0.727088i \(-0.259127\pi\)
−0.972949 + 0.231020i \(0.925794\pi\)
\(132\) 9.26182 0.774619i 0.806138 0.0674220i
\(133\) 2.45494 + 6.18247i 0.212870 + 0.536088i
\(134\) −3.79862 2.19314i −0.328151 0.189458i
\(135\) −10.5077 + 10.2693i −0.904356 + 0.883837i
\(136\) −6.34326 + 3.66228i −0.543930 + 0.314038i
\(137\) 12.9945 7.50238i 1.11020 0.640972i 0.171316 0.985216i \(-0.445198\pi\)
0.938880 + 0.344244i \(0.111865\pi\)
\(138\) 0.699584 + 8.36465i 0.0595525 + 0.712046i
\(139\) 14.8457 + 8.57114i 1.25919 + 0.726995i 0.972917 0.231153i \(-0.0742498\pi\)
0.286274 + 0.958148i \(0.407583\pi\)
\(140\) −1.08548 + 7.40187i −0.0917399 + 0.625572i
\(141\) −0.718711 8.59334i −0.0605264 0.723690i
\(142\) −4.12569 7.14590i −0.346220 0.599670i
\(143\) −15.9509 + 10.9493i −1.33388 + 0.915624i
\(144\) −2.95832 + 0.498329i −0.246527 + 0.0415274i
\(145\) −14.7504 8.51616i −1.22496 0.707229i
\(146\) −0.896552 1.55287i −0.0741992 0.128517i
\(147\) −11.5247 + 3.76574i −0.950543 + 0.310593i
\(148\) −0.639208 −0.0525426
\(149\) 11.4618i 0.938990i 0.882935 + 0.469495i \(0.155564\pi\)
−0.882935 + 0.469495i \(0.844436\pi\)
\(150\) −5.16968 + 0.432370i −0.422103 + 0.0353029i
\(151\) −6.15167 + 10.6550i −0.500616 + 0.867092i 0.499384 + 0.866381i \(0.333560\pi\)
−1.00000 0.000710935i \(0.999774\pi\)
\(152\) −2.51423 −0.203931
\(153\) 7.67318 20.5904i 0.620340 1.66464i
\(154\) −2.05996 + 14.0468i −0.165996 + 1.13192i
\(155\) 5.75131i 0.461956i
\(156\) 4.83623 3.95106i 0.387208 0.316338i
\(157\) 14.2430 + 8.22323i 1.13672 + 0.656285i 0.945616 0.325285i \(-0.105460\pi\)
0.191103 + 0.981570i \(0.438794\pi\)
\(158\) 4.05690i 0.322749i
\(159\) 3.22411 + 4.64219i 0.255688 + 0.368150i
\(160\) −2.44875 1.41378i −0.193590 0.111769i
\(161\) −12.6861 1.86042i −0.999807 0.146621i
\(162\) 5.88989 6.80509i 0.462753 0.534658i
\(163\) 6.01507 0.471137 0.235568 0.971858i \(-0.424305\pi\)
0.235568 + 0.971858i \(0.424305\pi\)
\(164\) −5.97580 + 10.3504i −0.466631 + 0.808229i
\(165\) −26.1884 + 2.19029i −2.03877 + 0.170514i
\(166\) −10.4987 6.06142i −0.814856 0.470457i
\(167\) −3.93039 6.80763i −0.304142 0.526790i 0.672928 0.739708i \(-0.265037\pi\)
−0.977070 + 0.212918i \(0.931703\pi\)
\(168\) 0.284715 4.57372i 0.0219663 0.352870i
\(169\) −4.67275 + 12.1312i −0.359443 + 0.933167i
\(170\) 17.9360 10.3553i 1.37563 0.794219i
\(171\) 5.81496 4.80401i 0.444681 0.367372i
\(172\) −1.67378 −0.127624
\(173\) 16.2958 1.23895 0.619474 0.785017i \(-0.287346\pi\)
0.619474 + 0.785017i \(0.287346\pi\)
\(174\) 9.43884 + 4.44544i 0.715557 + 0.337008i
\(175\) 1.14981 7.84053i 0.0869174 0.592688i
\(176\) −4.64708 2.68299i −0.350287 0.202238i
\(177\) −0.674229 8.06149i −0.0506782 0.605939i
\(178\) 14.0361 8.10377i 1.05205 0.607404i
\(179\) 11.0244i 0.824002i −0.911183 0.412001i \(-0.864830\pi\)
0.911183 0.412001i \(-0.135170\pi\)
\(180\) 8.36485 1.40906i 0.623479 0.105025i
\(181\) 3.78477i 0.281320i −0.990058 0.140660i \(-0.955078\pi\)
0.990058 0.140660i \(-0.0449224\pi\)
\(182\) 4.20035 + 8.56487i 0.311351 + 0.634871i
\(183\) −4.12604 + 8.76068i −0.305006 + 0.647608i
\(184\) 2.42310 4.19693i 0.178633 0.309402i
\(185\) 1.80740 0.132883
\(186\) 0.293625 + 3.51076i 0.0215296 + 0.257421i
\(187\) 34.0378 19.6517i 2.48909 1.43708i
\(188\) −2.48934 + 4.31167i −0.181554 + 0.314461i
\(189\) 8.08064 + 11.1222i 0.587780 + 0.809021i
\(190\) 7.10916 0.515753
\(191\) 8.06405i 0.583494i 0.956496 + 0.291747i \(0.0942366\pi\)
−0.956496 + 0.291747i \(0.905763\pi\)
\(192\) 1.56696 + 0.737995i 0.113086 + 0.0532602i
\(193\) −11.0069 −0.792293 −0.396147 0.918187i \(-0.629653\pi\)
−0.396147 + 0.918187i \(0.629653\pi\)
\(194\) −2.64248 4.57690i −0.189719 0.328602i
\(195\) −13.6748 + 11.1719i −0.979270 + 0.800036i
\(196\) 6.70525 + 2.00987i 0.478947 + 0.143562i
\(197\) 1.95410 1.12820i 0.139224 0.0803808i −0.428770 0.903414i \(-0.641053\pi\)
0.567994 + 0.823033i \(0.307720\pi\)
\(198\) 15.8743 2.67402i 1.12814 0.190035i
\(199\) −6.28107 + 3.62638i −0.445253 + 0.257067i −0.705823 0.708388i \(-0.749423\pi\)
0.260570 + 0.965455i \(0.416089\pi\)
\(200\) 2.59386 + 1.49757i 0.183414 + 0.105894i
\(201\) −6.87311 3.23705i −0.484792 0.228324i
\(202\) −0.0315196 0.0181979i −0.00221771 0.00128040i
\(203\) −9.88686 + 12.4997i −0.693922 + 0.877305i
\(204\) −10.4199 + 7.23689i −0.729542 + 0.506683i
\(205\) 16.8970 29.2664i 1.18014 2.04405i
\(206\) 18.4171 1.28318
\(207\) 2.41500 + 14.3366i 0.167854 + 0.996463i
\(208\) −3.59460 + 0.280819i −0.249241 + 0.0194713i
\(209\) 13.4913 0.933215
\(210\) −0.805052 + 12.9325i −0.0555538 + 0.892428i
\(211\) 2.35068 + 4.07150i 0.161827 + 0.280293i 0.935524 0.353263i \(-0.114928\pi\)
−0.773697 + 0.633556i \(0.781595\pi\)
\(212\) 3.26317i 0.224115i
\(213\) −8.15260 11.7384i −0.558607 0.804303i
\(214\) 2.78298 + 4.82027i 0.190241 + 0.329507i
\(215\) 4.73272 0.322769
\(216\) −5.03420 + 1.28718i −0.342534 + 0.0875818i
\(217\) −5.32454 0.780841i −0.361453 0.0530070i
\(218\) −5.08529 + 2.93599i −0.344419 + 0.198851i
\(219\) −1.77164 2.55088i −0.119716 0.172372i
\(220\) 13.1399 + 7.58634i 0.885893 + 0.511471i
\(221\) 11.3831 23.8299i 0.765712 1.60297i
\(222\) −1.10329 + 0.0922745i −0.0740479 + 0.00619306i
\(223\) −18.5099 + 10.6867i −1.23951 + 0.715634i −0.968995 0.247081i \(-0.920529\pi\)
−0.270519 + 0.962715i \(0.587195\pi\)
\(224\) −1.64134 + 2.07509i −0.109666 + 0.138648i
\(225\) −8.86058 + 1.49256i −0.590705 + 0.0995042i
\(226\) 0.502220 + 0.869871i 0.0334072 + 0.0578630i
\(227\) −6.23314 10.7961i −0.413708 0.716564i 0.581584 0.813487i \(-0.302433\pi\)
−0.995292 + 0.0969229i \(0.969100\pi\)
\(228\) −4.33963 + 0.362948i −0.287399 + 0.0240368i
\(229\) −9.09478 + 5.25087i −0.601000 + 0.346987i −0.769435 0.638725i \(-0.779462\pi\)
0.168435 + 0.985713i \(0.446129\pi\)
\(230\) −6.85147 + 11.8671i −0.451773 + 0.782493i
\(231\) −1.52778 + 24.5425i −0.100520 + 1.61478i
\(232\) −3.01183 5.21665i −0.197737 0.342490i
\(233\) 2.78543 1.60817i 0.182480 0.105355i −0.405977 0.913883i \(-0.633069\pi\)
0.588457 + 0.808528i \(0.299736\pi\)
\(234\) 7.77708 7.51778i 0.508404 0.491453i
\(235\) 7.03879 12.1915i 0.459160 0.795288i
\(236\) −2.33528 + 4.04482i −0.152014 + 0.263295i
\(237\) −0.585643 7.00230i −0.0380416 0.454848i
\(238\) −7.15182 18.0110i −0.463584 1.16748i
\(239\) 11.9941i 0.775834i −0.921694 0.387917i \(-0.873195\pi\)
0.921694 0.387917i \(-0.126805\pi\)
\(240\) −4.43068 2.08673i −0.285999 0.134698i
\(241\) 15.9267 9.19527i 1.02593 0.592319i 0.110112 0.993919i \(-0.464879\pi\)
0.915815 + 0.401600i \(0.131546\pi\)
\(242\) 15.4099 + 8.89688i 0.990583 + 0.571913i
\(243\) 9.18373 12.5960i 0.589136 0.808034i
\(244\) 4.84184 2.79544i 0.309967 0.178960i
\(245\) −18.9596 5.68304i −1.21128 0.363076i
\(246\) −8.82022 + 18.7277i −0.562357 + 1.19403i
\(247\) 7.47382 5.13028i 0.475548 0.326432i
\(248\) 1.01701 1.76151i 0.0645800 0.111856i
\(249\) −18.9960 8.94659i −1.20382 0.566967i
\(250\) 4.90940 + 2.83444i 0.310498 + 0.179266i
\(251\) 5.22792 9.05503i 0.329983 0.571548i −0.652525 0.757767i \(-0.726290\pi\)
0.982508 + 0.186219i \(0.0596235\pi\)
\(252\) −0.168825 7.93546i −0.0106350 0.499887i
\(253\) −13.0023 + 22.5206i −0.817447 + 1.41586i
\(254\) 11.8857i 0.745773i
\(255\) 29.4631 20.4628i 1.84505 1.28143i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 0.883529 1.53032i 0.0551131 0.0954586i −0.837153 0.546969i \(-0.815781\pi\)
0.892266 + 0.451511i \(0.149115\pi\)
\(258\) −2.88898 + 0.241622i −0.179860 + 0.0150427i
\(259\) 0.245387 1.67329i 0.0152476 0.103973i
\(260\) 10.1640 0.794034i 0.630343 0.0492439i
\(261\) 16.9334 + 6.31036i 1.04815 + 0.390602i
\(262\) 6.55611i 0.405038i
\(263\) 20.9950i 1.29461i 0.762233 + 0.647303i \(0.224103\pi\)
−0.762233 + 0.647303i \(0.775897\pi\)
\(264\) −8.40828 3.96007i −0.517494 0.243725i
\(265\) 9.22683i 0.566800i
\(266\) 0.965194 6.58164i 0.0591799 0.403546i
\(267\) 23.0569 16.0135i 1.41106 0.980012i
\(268\) 2.19314 + 3.79862i 0.133967 + 0.232038i
\(269\) −8.77343 15.1960i −0.534925 0.926518i −0.999167 0.0408093i \(-0.987006\pi\)
0.464242 0.885709i \(-0.346327\pi\)
\(270\) 14.2345 3.63960i 0.866286 0.221499i
\(271\) 19.2199 + 11.0966i 1.16753 + 0.674072i 0.953096 0.302667i \(-0.0978770\pi\)
0.214431 + 0.976739i \(0.431210\pi\)
\(272\) 7.32456 0.444117
\(273\) 8.48632 + 14.1768i 0.513615 + 0.858021i
\(274\) −15.0048 −0.906471
\(275\) −13.9186 8.03593i −0.839325 0.484585i
\(276\) 3.57647 7.59379i 0.215278 0.457093i
\(277\) −6.42590 11.1300i −0.386095 0.668736i 0.605825 0.795598i \(-0.292843\pi\)
−0.991920 + 0.126861i \(0.959510\pi\)
\(278\) −8.57114 14.8457i −0.514063 0.890383i
\(279\) 1.01361 + 6.01726i 0.0606831 + 0.360244i
\(280\) 4.64099 5.86747i 0.277352 0.350648i
\(281\) 26.5541i 1.58408i −0.610467 0.792042i \(-0.709018\pi\)
0.610467 0.792042i \(-0.290982\pi\)
\(282\) −3.67425 + 7.80141i −0.218798 + 0.464567i
\(283\) 1.53913i 0.0914919i 0.998953 + 0.0457460i \(0.0145665\pi\)
−0.998953 + 0.0457460i \(0.985434\pi\)
\(284\) 8.25137i 0.489629i
\(285\) 12.2706 1.02626i 0.726847 0.0607904i
\(286\) 19.2886 1.50687i 1.14056 0.0891031i
\(287\) −24.8007 19.6166i −1.46394 1.15793i
\(288\) 2.81115 + 1.04760i 0.165648 + 0.0617302i
\(289\) −18.3246 + 31.7392i −1.07792 + 1.86701i
\(290\) 8.51616 + 14.7504i 0.500086 + 0.866175i
\(291\) −5.22169 7.51838i −0.306101 0.440735i
\(292\) 1.79310i 0.104934i
\(293\) 3.32608 5.76094i 0.194312 0.336557i −0.752363 0.658749i \(-0.771086\pi\)
0.946675 + 0.322191i \(0.104419\pi\)
\(294\) 11.8636 + 2.50113i 0.691898 + 0.145869i
\(295\) 6.60315 11.4370i 0.384450 0.665888i
\(296\) 0.553571 + 0.319604i 0.0321756 + 0.0185766i
\(297\) 27.0134 6.90700i 1.56748 0.400785i
\(298\) 5.73092 9.92624i 0.331983 0.575012i
\(299\) 1.36090 + 17.4201i 0.0787030 + 1.00743i
\(300\) 4.69326 + 2.21040i 0.270965 + 0.127617i
\(301\) 0.642550 4.38154i 0.0370360 0.252548i
\(302\) 10.6550 6.15167i 0.613126 0.353989i
\(303\) −0.0570307 0.0268599i −0.00327633 0.00154306i
\(304\) 2.17739 + 1.25712i 0.124882 + 0.0721006i
\(305\) −13.6906 + 7.90429i −0.783923 + 0.452598i
\(306\) −16.9404 + 13.9952i −0.968417 + 0.800055i
\(307\) 24.3883i 1.39191i 0.718085 + 0.695956i \(0.245019\pi\)
−0.718085 + 0.695956i \(0.754981\pi\)
\(308\) 8.80738 11.1349i 0.501847 0.634471i
\(309\) 31.7883 2.65864i 1.80837 0.151245i
\(310\) −2.87565 + 4.98078i −0.163326 + 0.282889i
\(311\) −16.4246 + 28.4483i −0.931355 + 1.61315i −0.150346 + 0.988633i \(0.548039\pi\)
−0.781009 + 0.624520i \(0.785295\pi\)
\(312\) −6.16383 + 1.00361i −0.348958 + 0.0568181i
\(313\) 11.3671 6.56281i 0.642508 0.370952i −0.143072 0.989712i \(-0.545698\pi\)
0.785580 + 0.618760i \(0.212365\pi\)
\(314\) −8.22323 14.2430i −0.464064 0.803782i
\(315\) 0.477364 + 22.4380i 0.0268964 + 1.26424i
\(316\) −2.02845 + 3.51337i −0.114109 + 0.197643i
\(317\) −19.0370 + 10.9910i −1.06922 + 0.617317i −0.927969 0.372657i \(-0.878447\pi\)
−0.141254 + 0.989973i \(0.545114\pi\)
\(318\) −0.471063 5.63231i −0.0264159 0.315844i
\(319\) 16.1614 + 27.9924i 0.904867 + 1.56728i
\(320\) 1.41378 + 2.44875i 0.0790329 + 0.136889i
\(321\) 5.49934 + 7.91815i 0.306943 + 0.441948i
\(322\) 10.0563 + 7.95423i 0.560416 + 0.443272i
\(323\) −15.9484 + 9.20783i −0.887395 + 0.512338i
\(324\) −8.50334 + 2.94843i −0.472408 + 0.163802i
\(325\) −10.7663 + 0.841091i −0.597208 + 0.0466553i
\(326\) −5.20920 3.00753i −0.288511 0.166572i
\(327\) −8.35350 + 5.80170i −0.461950 + 0.320835i
\(328\) 10.3504 5.97580i 0.571504 0.329958i
\(329\) −10.3312 8.17170i −0.569580 0.450521i
\(330\) 23.7750 + 11.1974i 1.30877 + 0.616394i
\(331\) 12.9712 0.712963 0.356481 0.934302i \(-0.383976\pi\)
0.356481 + 0.934302i \(0.383976\pi\)
\(332\) 6.06142 + 10.4987i 0.332663 + 0.576190i
\(333\) −1.89098 + 0.318536i −0.103625 + 0.0174557i
\(334\) 7.86077i 0.430122i
\(335\) −6.20124 10.7409i −0.338810 0.586836i
\(336\) −2.53343 + 3.81860i −0.138210 + 0.208322i
\(337\) 27.9808 1.52421 0.762107 0.647451i \(-0.224165\pi\)
0.762107 + 0.647451i \(0.224165\pi\)
\(338\) 10.1123 8.16953i 0.550037 0.444364i
\(339\) 0.992417 + 1.42892i 0.0539007 + 0.0776083i
\(340\) −20.7107 −1.12320
\(341\) −5.45724 + 9.45221i −0.295526 + 0.511866i
\(342\) −7.43791 + 1.25292i −0.402196 + 0.0677499i
\(343\) −7.83543 + 16.7811i −0.423074 + 0.906095i
\(344\) 1.44953 + 0.836889i 0.0781536 + 0.0451220i
\(345\) −10.1127 + 21.4720i −0.544450 + 1.15601i
\(346\) −14.1126 8.14791i −0.758698 0.438034i
\(347\) 11.0526 6.38122i 0.593335 0.342562i −0.173080 0.984908i \(-0.555372\pi\)
0.766415 + 0.642346i \(0.222039\pi\)
\(348\) −5.95156 8.56928i −0.319037 0.459362i
\(349\) −12.8171 + 7.39994i −0.686082 + 0.396110i −0.802143 0.597133i \(-0.796307\pi\)
0.116061 + 0.993242i \(0.462973\pi\)
\(350\) −4.91603 + 6.21519i −0.262773 + 0.332216i
\(351\) 12.3382 14.0985i 0.658564 0.752525i
\(352\) 2.68299 + 4.64708i 0.143004 + 0.247690i
\(353\) 17.3099 0.921311 0.460656 0.887579i \(-0.347614\pi\)
0.460656 + 0.887579i \(0.347614\pi\)
\(354\) −3.44685 + 7.31857i −0.183198 + 0.388978i
\(355\) 23.3313i 1.23830i
\(356\) −16.2075 −0.858998
\(357\) −14.9442 30.0550i −0.790933 1.59068i
\(358\) −5.51220 + 9.54740i −0.291329 + 0.504596i
\(359\) −5.42394 + 3.13151i −0.286264 + 0.165275i −0.636256 0.771478i \(-0.719518\pi\)
0.349992 + 0.936753i \(0.386184\pi\)
\(360\) −7.94871 2.96215i −0.418934 0.156119i
\(361\) 12.6786 0.667296
\(362\) −1.89238 + 3.27771i −0.0994615 + 0.172272i
\(363\) 27.8821 + 13.1317i 1.46343 + 0.689236i
\(364\) 0.644824 9.51757i 0.0337979 0.498856i
\(365\) 5.07012i 0.265382i
\(366\) 7.95360 5.52395i 0.415741 0.288742i
\(367\) 26.9276i 1.40561i −0.711384 0.702803i \(-0.751931\pi\)
0.711384 0.702803i \(-0.248069\pi\)
\(368\) −4.19693 + 2.42310i −0.218780 + 0.126313i
\(369\) −12.5204 + 33.5977i −0.651788 + 1.74903i
\(370\) −1.56526 0.903702i −0.0813739 0.0469813i
\(371\) 8.54217 + 1.25271i 0.443487 + 0.0650372i
\(372\) 1.50109 3.18722i 0.0778280 0.165249i
\(373\) 15.5486 0.805078 0.402539 0.915403i \(-0.368128\pi\)
0.402539 + 0.915403i \(0.368128\pi\)
\(374\) −39.3035 −2.03233
\(375\) 8.88292 + 4.18361i 0.458712 + 0.216041i
\(376\) 4.31167 2.48934i 0.222357 0.128378i
\(377\) 19.5975 + 9.36140i 1.00932 + 0.482137i
\(378\) −1.43694 13.6724i −0.0739081 0.703234i
\(379\) −18.5733 32.1700i −0.954049 1.65246i −0.736530 0.676405i \(-0.763537\pi\)
−0.217519 0.976056i \(-0.569796\pi\)
\(380\) −6.15672 3.55458i −0.315833 0.182346i
\(381\) −1.71578 20.5150i −0.0879023 1.05101i
\(382\) 4.03202 6.98367i 0.206296 0.357316i
\(383\) −31.3387 −1.60133 −0.800666 0.599112i \(-0.795521\pi\)
−0.800666 + 0.599112i \(0.795521\pi\)
\(384\) −0.988029 1.42260i −0.0504202 0.0725969i
\(385\) −24.9035 + 31.4847i −1.26920 + 1.60461i
\(386\) 9.53225 + 5.50345i 0.485179 + 0.280118i
\(387\) −4.95157 + 0.834092i −0.251703 + 0.0423993i
\(388\) 5.28495i 0.268303i
\(389\) 18.2426 + 10.5324i 0.924939 + 0.534014i 0.885207 0.465197i \(-0.154016\pi\)
0.0397316 + 0.999210i \(0.487350\pi\)
\(390\) 17.4286 2.83777i 0.882533 0.143696i
\(391\) 35.4963i 1.79512i
\(392\) −4.80199 5.09322i −0.242537 0.257247i
\(393\) 0.946424 + 11.3160i 0.0477408 + 0.570817i
\(394\) −2.25640 −0.113676
\(395\) 5.73557 9.93430i 0.288588 0.499849i
\(396\) −15.0846 5.62138i −0.758028 0.282485i
\(397\) 16.2171i 0.813914i −0.913447 0.406957i \(-0.866590\pi\)
0.913447 0.406957i \(-0.133410\pi\)
\(398\) 7.25276 0.363548
\(399\) 0.715841 11.4994i 0.0358369 0.575690i
\(400\) −1.49757 2.59386i −0.0748784 0.129693i
\(401\) 16.1213 + 9.30765i 0.805060 + 0.464802i 0.845238 0.534391i \(-0.179459\pi\)
−0.0401772 + 0.999193i \(0.512792\pi\)
\(402\) 4.33377 + 6.23992i 0.216149 + 0.311219i
\(403\) 0.571189 + 7.31146i 0.0284530 + 0.364210i
\(404\) 0.0181979 + 0.0315196i 0.000905378 + 0.00156816i
\(405\) 24.0438 8.33690i 1.19474 0.414264i
\(406\) 14.8121 5.88160i 0.735113 0.291899i
\(407\) −2.97045 1.71499i −0.147240 0.0850089i
\(408\) 12.6424 1.05736i 0.625891 0.0523469i
\(409\) 8.16840 4.71603i 0.403902 0.233193i −0.284264 0.958746i \(-0.591749\pi\)
0.688166 + 0.725553i \(0.258416\pi\)
\(410\) −29.2664 + 16.8970i −1.44537 + 0.834482i
\(411\) −25.8986 + 2.16605i −1.27748 + 0.106843i
\(412\) −15.9496 9.20853i −0.785782 0.453672i
\(413\) −9.69184 7.66595i −0.476904 0.377217i
\(414\) 5.07685 13.6234i 0.249514 0.669552i
\(415\) −17.1391 29.6857i −0.841323 1.45721i
\(416\) 3.25342 + 1.55410i 0.159512 + 0.0761962i
\(417\) −16.9371 24.3867i −0.829412 1.19422i
\(418\) −11.6838 6.74567i −0.571475 0.329941i
\(419\) −15.5700 26.9681i −0.760646 1.31748i −0.942518 0.334155i \(-0.891549\pi\)
0.181873 0.983322i \(-0.441784\pi\)
\(420\) 7.16345 10.7974i 0.349541 0.526857i
\(421\) 1.34712 0.0656545 0.0328272 0.999461i \(-0.489549\pi\)
0.0328272 + 0.999461i \(0.489549\pi\)
\(422\) 4.70136i 0.228859i
\(423\) −5.21565 + 13.9958i −0.253594 + 0.680500i
\(424\) −1.63159 + 2.82599i −0.0792368 + 0.137242i
\(425\) 21.9381 1.06415
\(426\) 1.19115 + 14.2421i 0.0577112 + 0.690030i
\(427\) 5.45902 + 13.7479i 0.264181 + 0.665307i
\(428\) 5.56596i 0.269041i
\(429\) 33.0750 5.38534i 1.59688 0.260007i
\(430\) −4.09866 2.36636i −0.197655 0.114116i
\(431\) 1.61760i 0.0779169i 0.999241 + 0.0389584i \(0.0124040\pi\)
−0.999241 + 0.0389584i \(0.987596\pi\)
\(432\) 5.00334 + 1.40237i 0.240723 + 0.0674714i
\(433\) 2.72492 + 1.57323i 0.130951 + 0.0756048i 0.564045 0.825744i \(-0.309245\pi\)
−0.433093 + 0.901349i \(0.642578\pi\)
\(434\) 4.22077 + 3.33850i 0.202603 + 0.160253i
\(435\) 16.8284 + 24.2302i 0.806862 + 1.16175i
\(436\) 5.87199 0.281217
\(437\) 6.09223 10.5521i 0.291431 0.504773i
\(438\) 0.258848 + 3.09494i 0.0123682 + 0.147882i
\(439\) −1.44082 0.831860i −0.0687667 0.0397025i 0.465222 0.885194i \(-0.345974\pi\)
−0.533989 + 0.845491i \(0.679308\pi\)
\(440\) −7.58634 13.1399i −0.361664 0.626421i
\(441\) 20.8379 + 2.60442i 0.992280 + 0.124020i
\(442\) −21.7730 + 14.9457i −1.03564 + 0.710896i
\(443\) −12.6887 + 7.32582i −0.602858 + 0.348060i −0.770165 0.637844i \(-0.779826\pi\)
0.167307 + 0.985905i \(0.446493\pi\)
\(444\) 1.00161 + 0.471733i 0.0475345 + 0.0223874i
\(445\) 45.8279 2.17245
\(446\) 21.3734 1.01206
\(447\) 8.45878 17.9602i 0.400087 0.849490i
\(448\) 2.45899 0.976416i 0.116176 0.0461313i
\(449\) −4.85551 2.80333i −0.229146 0.132297i 0.381032 0.924562i \(-0.375569\pi\)
−0.610178 + 0.792264i \(0.708902\pi\)
\(450\) 8.41977 + 3.13769i 0.396912 + 0.147912i
\(451\) −55.5400 + 32.0660i −2.61528 + 1.50993i
\(452\) 1.00444i 0.0472449i
\(453\) 17.5028 12.1561i 0.822351 0.571141i
\(454\) 12.4663i 0.585072i
\(455\) −1.82328 + 26.9116i −0.0854768 + 1.26163i
\(456\) 3.93970 + 1.85549i 0.184494 + 0.0868914i
\(457\) −20.8808 + 36.1666i −0.976763 + 1.69180i −0.302771 + 0.953063i \(0.597912\pi\)
−0.673991 + 0.738739i \(0.735422\pi\)
\(458\) 10.5017 0.490714
\(459\) −27.2192 + 26.6016i −1.27048 + 1.24166i
\(460\) 11.8671 6.85147i 0.553306 0.319451i
\(461\) −10.8220 + 18.7442i −0.504030 + 0.873005i 0.495959 + 0.868346i \(0.334817\pi\)
−0.999989 + 0.00465958i \(0.998517\pi\)
\(462\) 13.5944 20.4906i 0.632466 0.953307i
\(463\) −0.578725 −0.0268956 −0.0134478 0.999910i \(-0.504281\pi\)
−0.0134478 + 0.999910i \(0.504281\pi\)
\(464\) 6.02367i 0.279642i
\(465\) −4.24444 + 9.01207i −0.196831 + 0.417925i
\(466\) −3.21634 −0.148994
\(467\) −10.1683 17.6119i −0.470531 0.814983i 0.528901 0.848683i \(-0.322604\pi\)
−0.999432 + 0.0337004i \(0.989271\pi\)
\(468\) −10.4940 + 2.62205i −0.485087 + 0.121204i
\(469\) −10.7858 + 4.28283i −0.498041 + 0.197763i
\(470\) −12.1915 + 7.03879i −0.562354 + 0.324675i
\(471\) −16.2496 23.3968i −0.748741 1.07807i
\(472\) 4.04482 2.33528i 0.186178 0.107490i
\(473\) −7.77818 4.49073i −0.357641 0.206484i
\(474\) −2.99397 + 6.35699i −0.137518 + 0.291986i
\(475\) 6.52158 + 3.76524i 0.299231 + 0.172761i
\(476\) −2.81184 + 19.1739i −0.128881 + 0.878834i
\(477\) −1.62613 9.65351i −0.0744555 0.442004i
\(478\) −5.99705 + 10.3872i −0.274299 + 0.475099i
\(479\) −15.6065 −0.713081 −0.356540 0.934280i \(-0.616044\pi\)
−0.356540 + 0.934280i \(0.616044\pi\)
\(480\) 2.79372 + 4.02250i 0.127515 + 0.183601i
\(481\) −2.29770 + 0.179502i −0.104766 + 0.00818458i
\(482\) −18.3905 −0.837666
\(483\) 18.5057 + 12.2775i 0.842038 + 0.558646i
\(484\) −8.89688 15.4099i −0.404404 0.700448i
\(485\) 14.9436i 0.678552i
\(486\) −14.2513 + 6.31659i −0.646454 + 0.286526i
\(487\) −11.2396 19.4676i −0.509315 0.882159i −0.999942 0.0107896i \(-0.996565\pi\)
0.490627 0.871370i \(-0.336768\pi\)
\(488\) −5.59088 −0.253087
\(489\) −9.42537 4.43909i −0.426230 0.200743i
\(490\) 13.5779 + 14.4014i 0.613389 + 0.650590i
\(491\) 28.7412 16.5938i 1.29707 0.748866i 0.317176 0.948367i \(-0.397265\pi\)
0.979898 + 0.199501i \(0.0639321\pi\)
\(492\) 17.0024 11.8085i 0.766526 0.532370i
\(493\) −38.2097 22.0604i −1.72088 0.993549i
\(494\) −9.03766 + 0.706044i −0.406624 + 0.0317664i
\(495\) 42.6526 + 15.8948i 1.91709 + 0.714419i
\(496\) −1.76151 + 1.01701i −0.0790940 + 0.0456649i
\(497\) −21.6000 3.16764i −0.968894 0.142088i
\(498\) 11.9777 + 17.2460i 0.536734 + 0.772810i
\(499\) −13.3645 23.1479i −0.598276 1.03624i −0.993076 0.117477i \(-0.962519\pi\)
0.394800 0.918767i \(-0.370814\pi\)
\(500\) −2.83444 4.90940i −0.126760 0.219555i
\(501\) 1.13476 + 13.5679i 0.0506974 + 0.606169i
\(502\) −9.05503 + 5.22792i −0.404146 + 0.233334i
\(503\) −1.69136 + 2.92951i −0.0754138 + 0.130621i −0.901266 0.433266i \(-0.857361\pi\)
0.825852 + 0.563886i \(0.190694\pi\)
\(504\) −3.82152 + 6.95672i −0.170224 + 0.309877i
\(505\) −0.0514557 0.0891239i −0.00228975 0.00396596i
\(506\) 22.5206 13.0023i 1.00116 0.578023i
\(507\) 16.2748 15.5606i 0.722788 0.691070i
\(508\) −5.94284 + 10.2933i −0.263671 + 0.456691i
\(509\) 15.6673 27.1366i 0.694441 1.20281i −0.275928 0.961178i \(-0.588985\pi\)
0.970369 0.241628i \(-0.0776815\pi\)
\(510\) −35.7472 + 2.98974i −1.58291 + 0.132388i
\(511\) −4.69390 0.688359i −0.207646 0.0304512i
\(512\) 1.00000i 0.0441942i
\(513\) −12.6572 + 3.23628i −0.558827 + 0.142885i
\(514\) −1.53032 + 0.883529i −0.0674994 + 0.0389708i
\(515\) 45.0987 + 26.0377i 1.98729 + 1.14736i
\(516\) 2.62274 + 1.23524i 0.115460 + 0.0543784i
\(517\) −23.1364 + 13.3578i −1.01754 + 0.587474i
\(518\) −1.04916 + 1.32642i −0.0460973 + 0.0582794i
\(519\) −25.5349 12.0262i −1.12086 0.527893i
\(520\) −9.19927 4.39433i −0.403415 0.192704i
\(521\) −9.29916 + 16.1066i −0.407403 + 0.705644i −0.994598 0.103802i \(-0.966899\pi\)
0.587194 + 0.809446i \(0.300232\pi\)
\(522\) −11.5096 13.9316i −0.503761 0.609771i
\(523\) −3.27775 1.89241i −0.143326 0.0827493i 0.426622 0.904430i \(-0.359703\pi\)
−0.569948 + 0.821681i \(0.693037\pi\)
\(524\) 3.27806 5.67776i 0.143203 0.248034i
\(525\) −7.58797 + 11.4372i −0.331166 + 0.499162i
\(526\) 10.4975 18.1822i 0.457712 0.792781i
\(527\) 14.8983i 0.648978i
\(528\) 5.30175 + 7.63366i 0.230729 + 0.332212i
\(529\) 0.242797 + 0.420537i 0.0105564 + 0.0182842i
\(530\) 4.61342 7.99067i 0.200394 0.347093i
\(531\) −4.89285 + 13.1296i −0.212332 + 0.569776i
\(532\) −4.12670 + 5.21727i −0.178915 + 0.226197i
\(533\) −18.5740 + 38.8836i −0.804530 + 1.68424i
\(534\) −27.9746 + 2.33968i −1.21058 + 0.101248i
\(535\) 15.7381i 0.680419i
\(536\) 4.38627i 0.189458i
\(537\) −8.13595 + 17.2748i −0.351092 + 0.745462i
\(538\) 17.5469i 0.756499i
\(539\) 25.7674 + 27.3302i 1.10988 + 1.17719i
\(540\) −14.1473 3.96528i −0.608802 0.170639i
\(541\) 12.8908 + 22.3276i 0.554221 + 0.959938i 0.997964 + 0.0637841i \(0.0203169\pi\)
−0.443743 + 0.896154i \(0.646350\pi\)
\(542\) −11.0966 19.2199i −0.476641 0.825567i
\(543\) −2.79314 + 5.93058i −0.119865 + 0.254506i
\(544\) −6.34326 3.66228i −0.271965 0.157019i
\(545\) −16.6034 −0.711213
\(546\) −0.260951 16.5207i −0.0111677 0.707019i
\(547\) −17.2559 −0.737809 −0.368905 0.929467i \(-0.620267\pi\)
−0.368905 + 0.929467i \(0.620267\pi\)
\(548\) 12.9945 + 7.50238i 0.555098 + 0.320486i
\(549\) 12.9307 10.6826i 0.551868 0.455924i
\(550\) 8.03593 + 13.9186i 0.342653 + 0.593492i
\(551\) −7.57245 13.1159i −0.322597 0.558755i
\(552\) −6.89421 + 4.78818i −0.293437 + 0.203799i
\(553\) −8.41844 6.65873i −0.357988 0.283158i
\(554\) 12.8518i 0.546021i
\(555\) −2.83213 1.33386i −0.120217 0.0566190i
\(556\) 17.1423i 0.726995i
\(557\) 40.1901i 1.70291i 0.524429 + 0.851454i \(0.324279\pi\)
−0.524429 + 0.851454i \(0.675721\pi\)
\(558\) 2.13082 5.71791i 0.0902049 0.242058i
\(559\) −6.01656 + 0.470029i −0.254473 + 0.0198801i
\(560\) −6.95295 + 2.76088i −0.293816 + 0.116669i
\(561\) −67.8388 + 5.67375i −2.86416 + 0.239546i
\(562\) −13.2770 + 22.9965i −0.560058 + 0.970049i
\(563\) 18.3645 + 31.8082i 0.773971 + 1.34056i 0.935371 + 0.353668i \(0.115066\pi\)
−0.161400 + 0.986889i \(0.551601\pi\)
\(564\) 7.08269 4.91909i 0.298235 0.207131i
\(565\) 2.84012i 0.119485i
\(566\) 0.769566 1.33293i 0.0323473 0.0560271i
\(567\) −4.45391 23.3915i −0.187047 0.982351i
\(568\) 4.12569 7.14590i 0.173110 0.299835i
\(569\) 10.1236 + 5.84485i 0.424403 + 0.245029i 0.696959 0.717111i \(-0.254536\pi\)
−0.272557 + 0.962140i \(0.587869\pi\)
\(570\) −11.1398 5.24653i −0.466594 0.219753i
\(571\) −3.35122 + 5.80449i −0.140244 + 0.242910i −0.927589 0.373603i \(-0.878122\pi\)
0.787344 + 0.616514i \(0.211455\pi\)
\(572\) −17.4578 8.33929i −0.729948 0.348683i
\(573\) 5.95123 12.6360i 0.248616 0.527878i
\(574\) 11.6697 + 29.3888i 0.487085 + 1.22667i
\(575\) −12.5704 + 7.25751i −0.524221 + 0.302659i
\(576\) −1.91073 2.31282i −0.0796136 0.0963674i
\(577\) −11.0699 6.39122i −0.460847 0.266070i 0.251553 0.967843i \(-0.419059\pi\)
−0.712400 + 0.701773i \(0.752392\pi\)
\(578\) 31.7392 18.3246i 1.32018 0.762204i
\(579\) 17.2474 + 8.12303i 0.716776 + 0.337582i
\(580\) 17.0323i 0.707229i
\(581\) −29.8099 + 11.8369i −1.23672 + 0.491078i
\(582\) 0.762922 + 9.12196i 0.0316241 + 0.378117i
\(583\) 8.75506 15.1642i 0.362597 0.628037i
\(584\) 0.896552 1.55287i 0.0370996 0.0642584i
\(585\) 29.6726 7.41401i 1.22681 0.306532i
\(586\) −5.76094 + 3.32608i −0.237982 + 0.137399i
\(587\) −9.01119 15.6078i −0.371932 0.644204i 0.617931 0.786232i \(-0.287971\pi\)
−0.989863 + 0.142028i \(0.954638\pi\)
\(588\) −9.02359 8.09783i −0.372127 0.333949i
\(589\) 2.55699 4.42884i 0.105359 0.182487i
\(590\) −11.4370 + 6.60315i −0.470854 + 0.271847i
\(591\) −3.89459 + 0.325727i −0.160202 + 0.0133986i
\(592\) −0.319604 0.553571i −0.0131357 0.0227516i
\(593\) 6.20188 + 10.7420i 0.254681 + 0.441120i 0.964809 0.262953i \(-0.0846963\pi\)
−0.710128 + 0.704073i \(0.751363\pi\)
\(594\) −26.8478 7.52507i −1.10158 0.308757i
\(595\) 7.95067 54.2155i 0.325946 2.22262i
\(596\) −9.92624 + 5.73092i −0.406595 + 0.234748i
\(597\) 12.5184 1.04699i 0.512345 0.0428504i
\(598\) 7.53148 15.7667i 0.307985 0.644749i
\(599\) 20.8366 + 12.0300i 0.851359 + 0.491532i 0.861109 0.508420i \(-0.169770\pi\)
−0.00974999 + 0.999952i \(0.503104\pi\)
\(600\) −2.95928 4.26089i −0.120812 0.173950i
\(601\) 38.2975 22.1111i 1.56219 0.901930i 0.565152 0.824987i \(-0.308817\pi\)
0.997036 0.0769429i \(-0.0245159\pi\)
\(602\) −2.74723 + 3.47325i −0.111969 + 0.141559i
\(603\) 8.38097 + 10.1446i 0.341299 + 0.413122i
\(604\) −12.3033 −0.500616
\(605\) 25.1565 + 43.5724i 1.02276 + 1.77147i
\(606\) 0.0359601 + 0.0517767i 0.00146078 + 0.00210328i
\(607\) 2.33951i 0.0949577i 0.998872 + 0.0474789i \(0.0151187\pi\)
−0.998872 + 0.0474789i \(0.984881\pi\)
\(608\) −1.25712 2.17739i −0.0509828 0.0883048i
\(609\) 24.7170 12.2900i 1.00158 0.498017i
\(610\) 15.8086 0.640071
\(611\) −7.73740 + 16.1978i −0.313022 + 0.655292i
\(612\) 21.6684 3.65004i 0.875894 0.147544i
\(613\) −41.7583 −1.68660 −0.843302 0.537440i \(-0.819391\pi\)
−0.843302 + 0.537440i \(0.819391\pi\)
\(614\) 12.1941 21.1208i 0.492115 0.852368i
\(615\) −48.0753 + 33.3894i −1.93858 + 1.34639i
\(616\) −13.1949 + 5.23943i −0.531637 + 0.211103i
\(617\) −21.2369 12.2611i −0.854965 0.493614i 0.00735804 0.999973i \(-0.497658\pi\)
−0.862323 + 0.506359i \(0.830991\pi\)
\(618\) −28.8588 13.5917i −1.16087 0.546738i
\(619\) −6.74880 3.89642i −0.271257 0.156610i 0.358202 0.933644i \(-0.383390\pi\)
−0.629459 + 0.777034i \(0.716723\pi\)
\(620\) 4.98078 2.87565i 0.200033 0.115489i
\(621\) 6.79614 24.2471i 0.272720 0.973004i
\(622\) 28.4483 16.4246i 1.14067 0.658567i
\(623\) 6.22195 42.4273i 0.249277 1.69982i
\(624\) 5.83984 + 2.21276i 0.233781 + 0.0885815i
\(625\) 15.5024 + 26.8510i 0.620097 + 1.07404i
\(626\) −13.1256 −0.524605
\(627\) −21.1404 9.95654i −0.844265 0.397626i
\(628\) 16.4465i 0.656285i
\(629\) 4.68192 0.186681
\(630\) 10.8056 19.6706i 0.430506 0.783695i
\(631\) 10.1378 17.5592i 0.403580 0.699021i −0.590575 0.806983i \(-0.701099\pi\)
0.994155 + 0.107961i \(0.0344323\pi\)
\(632\) 3.51337 2.02845i 0.139755 0.0806873i
\(633\) −0.678676 8.11466i −0.0269750 0.322529i
\(634\) 21.9820 0.873018
\(635\) 16.8038 29.1050i 0.666837 1.15500i
\(636\) −2.40820 + 5.11326i −0.0954915 + 0.202754i
\(637\) 24.6671 + 5.34171i 0.977346 + 0.211646i
\(638\) 32.3229i 1.27968i
\(639\) 4.11190 + 24.4102i 0.162664 + 0.965653i
\(640\) 2.82757i 0.111769i
\(641\) 35.7802 20.6577i 1.41323 0.815931i 0.417543 0.908657i \(-0.362891\pi\)
0.995692 + 0.0927259i \(0.0295580\pi\)
\(642\) −0.803488 9.60699i −0.0317111 0.379158i
\(643\) −29.2874 16.9091i −1.15498 0.666828i −0.204884 0.978786i \(-0.565682\pi\)
−0.950096 + 0.311958i \(0.899015\pi\)
\(644\) −4.73190 11.9167i −0.186463 0.469585i
\(645\) −7.41598 3.49272i −0.292004 0.137526i
\(646\) 18.4157 0.724555
\(647\) 24.8570 0.977231 0.488615 0.872499i \(-0.337502\pi\)
0.488615 + 0.872499i \(0.337502\pi\)
\(648\) 8.83832 + 1.69825i 0.347202 + 0.0667135i
\(649\) −21.7044 + 12.5311i −0.851973 + 0.491887i
\(650\) 9.74445 + 4.65475i 0.382209 + 0.182574i
\(651\) 7.76709 + 5.15303i 0.304416 + 0.201963i
\(652\) 3.00753 + 5.20920i 0.117784 + 0.204008i
\(653\) −8.58099 4.95424i −0.335800 0.193874i 0.322613 0.946531i \(-0.395439\pi\)
−0.658413 + 0.752657i \(0.728772\pi\)
\(654\) 10.1352 0.847665i 0.396317 0.0331463i
\(655\) −9.26893 + 16.0542i −0.362167 + 0.627291i
\(656\) −11.9516 −0.466631
\(657\) 0.893556 + 5.30458i 0.0348609 + 0.206951i
\(658\) 4.86127 + 12.2425i 0.189512 + 0.477263i
\(659\) 14.5005 + 8.37187i 0.564859 + 0.326122i 0.755094 0.655617i \(-0.227591\pi\)
−0.190234 + 0.981739i \(0.560925\pi\)
\(660\) −14.9911 21.5847i −0.583526 0.840183i
\(661\) 4.91020i 0.190985i 0.995430 + 0.0954923i \(0.0304425\pi\)
−0.995430 + 0.0954923i \(0.969557\pi\)
\(662\) −11.2334 6.48561i −0.436599 0.252070i
\(663\) −35.4233 + 28.9398i −1.37573 + 1.12393i
\(664\) 12.1228i 0.470457i
\(665\) 11.6685 14.7522i 0.452486 0.572065i
\(666\) 1.79691 + 0.669632i 0.0696288 + 0.0259477i
\(667\) 29.1919 1.13031
\(668\) 3.93039 6.80763i 0.152071 0.263395i
\(669\) 36.8910 3.08541i 1.42629 0.119289i
\(670\) 12.4025i 0.479150i
\(671\) 30.0005 1.15816
\(672\) 4.10332 2.04029i 0.158289 0.0787059i
\(673\) 8.86744 + 15.3589i 0.341815 + 0.592040i 0.984770 0.173863i \(-0.0556251\pi\)
−0.642955 + 0.765904i \(0.722292\pi\)
\(674\) −24.2321 13.9904i −0.933386 0.538891i
\(675\) 14.9857 + 4.20028i 0.576799 + 0.161669i
\(676\) −12.8423 + 2.01886i −0.493934 + 0.0776486i
\(677\) 23.2931 + 40.3449i 0.895228 + 1.55058i 0.833522 + 0.552486i \(0.186321\pi\)
0.0617058 + 0.998094i \(0.480346\pi\)
\(678\) −0.144998 1.73369i −0.00556863 0.0665819i
\(679\) −13.8347 2.02885i −0.530927 0.0778602i
\(680\) 17.9360 + 10.3553i 0.687814 + 0.397110i
\(681\) 1.79960 + 21.5171i 0.0689609 + 0.824538i
\(682\) 9.45221 5.45724i 0.361944 0.208968i
\(683\) 21.0887 12.1756i 0.806937 0.465885i −0.0389542 0.999241i \(-0.512403\pi\)
0.845891 + 0.533356i \(0.179069\pi\)
\(684\) 7.06788 + 2.63390i 0.270247 + 0.100710i
\(685\) −36.7428 21.2135i −1.40387 0.810526i
\(686\) 15.1762 10.6152i 0.579432 0.405289i
\(687\) 18.1263 1.51600i 0.691560 0.0578392i
\(688\) −0.836889 1.44953i −0.0319061 0.0552630i
\(689\) −0.916360 11.7298i −0.0349105 0.446869i
\(690\) 19.4938 13.5389i 0.742118 0.515417i
\(691\) 14.2364 + 8.21937i 0.541577 + 0.312680i 0.745718 0.666262i \(-0.232107\pi\)
−0.204141 + 0.978942i \(0.565440\pi\)
\(692\) 8.14791 + 14.1126i 0.309737 + 0.536480i
\(693\) 20.5062 37.3296i 0.778967 1.41804i
\(694\) −12.7624 −0.484456
\(695\) 48.4710i 1.83861i
\(696\) 0.869561 + 10.3970i 0.0329606 + 0.394097i
\(697\) 43.7701 75.8121i 1.65791 2.87159i
\(698\) 14.7999 0.560184
\(699\) −5.55148 + 0.464303i −0.209976 + 0.0175615i
\(700\) 7.36500 2.92450i 0.278371 0.110536i
\(701\) 39.4946i 1.49169i −0.666120 0.745844i \(-0.732046\pi\)
0.666120 0.745844i \(-0.267954\pi\)
\(702\) −17.7345 + 6.04061i −0.669344 + 0.227988i
\(703\) 1.39181 + 0.803560i 0.0524930 + 0.0303068i
\(704\) 5.36598i 0.202238i
\(705\) −20.0268 + 13.9091i −0.754253 + 0.523846i
\(706\) −14.9908 8.65493i −0.564186 0.325733i
\(707\) −0.0894966 + 0.0355374i −0.00336587 + 0.00133652i
\(708\) 6.64434 4.61464i 0.249710 0.173429i
\(709\) −11.8487 −0.444987 −0.222493 0.974934i \(-0.571420\pi\)
−0.222493 + 0.974934i \(0.571420\pi\)
\(710\) −11.6657 + 20.2055i −0.437804 + 0.758299i
\(711\) −4.24998 + 11.4045i −0.159387 + 0.427703i
\(712\) 14.0361 + 8.10377i 0.526027 + 0.303702i
\(713\) 4.92861 + 8.53660i 0.184578 + 0.319698i
\(714\) −2.08542 + 33.5005i −0.0780447 + 1.25373i
\(715\) 49.3631 + 23.5799i 1.84608 + 0.881838i
\(716\) 9.54740 5.51220i 0.356803 0.206000i
\(717\) −8.85159 + 18.7943i −0.330569 + 0.701885i
\(718\) 6.26302 0.233734
\(719\) −37.3222 −1.39188 −0.695942 0.718098i \(-0.745013\pi\)
−0.695942 + 0.718098i \(0.745013\pi\)
\(720\) 5.40271 + 6.53965i 0.201347 + 0.243718i
\(721\) 30.2286 38.2171i 1.12577 1.42328i
\(722\) −10.9800 6.33931i −0.408634 0.235925i
\(723\) −31.7425 + 2.65481i −1.18052 + 0.0987334i
\(724\) 3.27771 1.89238i 0.121815 0.0703299i
\(725\) 18.0417i 0.670052i
\(726\) −17.5808 25.3135i −0.652484 0.939471i
\(727\) 42.1110i 1.56181i −0.624650 0.780905i \(-0.714758\pi\)
0.624650 0.780905i \(-0.285242\pi\)
\(728\) −5.31722 + 7.92005i −0.197069 + 0.293537i
\(729\) −23.6863 + 12.9599i −0.877271 + 0.479995i
\(730\) −2.53506 + 4.39086i −0.0938269 + 0.162513i
\(731\) 12.2597 0.453441
\(732\) −9.64999 + 0.807085i −0.356674 + 0.0298307i
\(733\) 33.9637 19.6090i 1.25448 0.724274i 0.282484 0.959272i \(-0.408842\pi\)
0.971996 + 0.234998i \(0.0755084\pi\)
\(734\) −13.4638 + 23.3199i −0.496957 + 0.860755i
\(735\) 25.5148 + 22.8972i 0.941128 + 0.844574i
\(736\) 4.84619 0.178633
\(737\) 23.5367i 0.866984i
\(738\) 27.6419 22.8362i 1.01751 0.840613i
\(739\) 13.7624 0.506259 0.253130 0.967432i \(-0.418540\pi\)
0.253130 + 0.967432i \(0.418540\pi\)
\(740\) 0.903702 + 1.56526i 0.0332208 + 0.0575401i
\(741\) −15.4973 + 2.52330i −0.569308 + 0.0926959i
\(742\) −6.77138 5.35596i −0.248585 0.196623i
\(743\) −35.2355 + 20.3432i −1.29266 + 0.746320i −0.979126 0.203256i \(-0.934848\pi\)
−0.313538 + 0.949576i \(0.601514\pi\)
\(744\) −2.89359 + 2.00966i −0.106084 + 0.0736779i
\(745\) 28.0671 16.2046i 1.02830 0.593689i
\(746\) −13.4655 7.77432i −0.493007 0.284638i
\(747\) 23.1634 + 28.0379i 0.847505 + 1.02585i
\(748\) 34.0378 + 19.6517i 1.24455 + 0.718539i
\(749\) 14.5703 + 2.13673i 0.532388 + 0.0780744i
\(750\) −5.60103 8.06457i −0.204521 0.294477i
\(751\) −9.72789 + 16.8492i −0.354976 + 0.614836i −0.987114 0.160020i \(-0.948844\pi\)
0.632138 + 0.774856i \(0.282178\pi\)
\(752\) −4.97869 −0.181554
\(753\) −14.8745 + 10.3307i −0.542057 + 0.376471i
\(754\) −12.2913 17.9060i −0.447621 0.652097i
\(755\) 34.7885 1.26608
\(756\) −5.59179 + 12.5591i −0.203371 + 0.456771i
\(757\) −9.52424 16.4965i −0.346164 0.599574i 0.639400 0.768874i \(-0.279183\pi\)
−0.985565 + 0.169300i \(0.945849\pi\)
\(758\) 37.1467i 1.34923i
\(759\) 36.9942 25.6933i 1.34280 0.932608i
\(760\) 3.55458 + 6.15672i 0.128938 + 0.223328i
\(761\) −43.6162 −1.58109 −0.790543 0.612406i \(-0.790202\pi\)
−0.790543 + 0.612406i \(0.790202\pi\)
\(762\) −8.77157 + 18.6244i −0.317760 + 0.674690i
\(763\) −2.25421 + 15.3714i −0.0816079 + 0.556482i
\(764\) −6.98367 + 4.03202i −0.252660 + 0.145874i
\(765\) −61.2689 + 10.3207i −2.21518 + 0.373147i
\(766\) 27.1401 + 15.6693i 0.980611 + 0.566156i
\(767\) −7.25852 + 15.1953i −0.262090 + 0.548670i
\(768\) 0.144357 + 1.72602i 0.00520905 + 0.0622825i
\(769\) −10.8919 + 6.28847i −0.392774 + 0.226768i −0.683361 0.730080i \(-0.739483\pi\)
0.290588 + 0.956848i \(0.406149\pi\)
\(770\) 37.3094 14.8148i 1.34454 0.533890i
\(771\) −2.51382 + 1.74591i −0.0905331 + 0.0628773i
\(772\) −5.50345 9.53225i −0.198073 0.343073i
\(773\) 7.95188 + 13.7731i 0.286009 + 0.495382i 0.972853 0.231422i \(-0.0743379\pi\)
−0.686844 + 0.726805i \(0.741005\pi\)
\(774\) 4.70523 + 1.75344i 0.169126 + 0.0630262i
\(775\) −5.27595 + 3.04607i −0.189518 + 0.109418i
\(776\) 2.64248 4.57690i