Properties

Label 273.2.bh.a.131.19
Level $273$
Weight $2$
Character 273.131
Analytic conductor $2.180$
Analytic rank $0$
Dimension $64$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.bh (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(64\)
Relative dimension: \(32\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 131.19
Character \(\chi\) \(=\) 273.131
Dual form 273.2.bh.a.248.19

$q$-expansion

\(f(q)\) \(=\) \(q+(0.636389 + 0.367419i) q^{2} +(1.13449 - 1.30879i) q^{3} +(-0.730006 - 1.26441i) q^{4} +(-1.03100 + 1.78574i) q^{5} +(1.20285 - 0.416064i) q^{6} +(-0.617429 - 2.57270i) q^{7} -2.54255i q^{8} +(-0.425855 - 2.96962i) q^{9} +O(q^{10})\) \(q+(0.636389 + 0.367419i) q^{2} +(1.13449 - 1.30879i) q^{3} +(-0.730006 - 1.26441i) q^{4} +(-1.03100 + 1.78574i) q^{5} +(1.20285 - 0.416064i) q^{6} +(-0.617429 - 2.57270i) q^{7} -2.54255i q^{8} +(-0.425855 - 2.96962i) q^{9} +(-1.31223 + 0.757615i) q^{10} +(4.03218 - 2.32798i) q^{11} +(-2.48303 - 0.479037i) q^{12} +1.00000i q^{13} +(0.552334 - 1.86409i) q^{14} +(1.16750 + 3.37526i) q^{15} +(-0.525831 + 0.910766i) q^{16} +(2.37277 + 4.10975i) q^{17} +(0.820087 - 2.04630i) q^{18} +(2.18124 + 1.25934i) q^{19} +3.01053 q^{20} +(-4.06759 - 2.11062i) q^{21} +3.42138 q^{22} +(-6.58248 - 3.80040i) q^{23} +(-3.32766 - 2.88450i) q^{24} +(0.374097 + 0.647955i) q^{25} +(-0.367419 + 0.636389i) q^{26} +(-4.36973 - 2.81166i) q^{27} +(-2.80221 + 2.65877i) q^{28} +7.76916i q^{29} +(-0.497154 + 2.57694i) q^{30} +(4.49527 - 2.59534i) q^{31} +(-5.07309 + 2.92895i) q^{32} +(1.52764 - 7.91835i) q^{33} +3.48720i q^{34} +(5.23073 + 1.54988i) q^{35} +(-3.44394 + 2.70630i) q^{36} +(-2.73320 + 4.73405i) q^{37} +(0.925409 + 1.60286i) q^{38} +(1.30879 + 1.13449i) q^{39} +(4.54032 + 2.62136i) q^{40} +3.99239 q^{41} +(-1.81308 - 2.83769i) q^{42} +8.41855 q^{43} +(-5.88704 - 3.39888i) q^{44} +(5.74201 + 2.30120i) q^{45} +(-2.79268 - 4.83706i) q^{46} +(-1.09516 + 1.89686i) q^{47} +(0.595449 + 1.72146i) q^{48} +(-6.23756 + 3.17692i) q^{49} +0.549801i q^{50} +(8.07068 + 1.55703i) q^{51} +(1.26441 - 0.730006i) q^{52} +(0.754260 - 0.435472i) q^{53} +(-1.74779 - 3.39483i) q^{54} +9.60055i q^{55} +(-6.54122 + 1.56984i) q^{56} +(4.12280 - 1.42607i) q^{57} +(-2.85454 + 4.94420i) q^{58} +(-0.620058 - 1.07397i) q^{59} +(3.41543 - 3.94015i) q^{60} +(9.38648 + 5.41929i) q^{61} +3.81431 q^{62} +(-7.37701 + 2.92913i) q^{63} -2.20129 q^{64} +(-1.78574 - 1.03100i) q^{65} +(3.88153 - 4.47786i) q^{66} +(-2.06791 - 3.58172i) q^{67} +(3.46427 - 6.00029i) q^{68} +(-12.4417 + 4.30356i) q^{69} +(2.75932 + 2.90819i) q^{70} -15.1751i q^{71} +(-7.55041 + 1.08276i) q^{72} +(-6.04087 + 3.48770i) q^{73} +(-3.47876 + 2.00846i) q^{74} +(1.27245 + 0.245486i) q^{75} -3.67729i q^{76} +(-8.47878 - 8.93623i) q^{77} +(0.416064 + 1.20285i) q^{78} +(-3.36228 + 5.82364i) q^{79} +(-1.08426 - 1.87799i) q^{80} +(-8.63730 + 2.52925i) q^{81} +(2.54071 + 1.46688i) q^{82} -0.428315 q^{83} +(0.300675 + 6.68386i) q^{84} -9.78524 q^{85} +(5.35747 + 3.09314i) q^{86} +(10.1682 + 8.81405i) q^{87} +(-5.91901 - 10.2520i) q^{88} +(1.97328 - 3.41782i) q^{89} +(2.80865 + 3.57418i) q^{90} +(2.57270 - 0.617429i) q^{91} +11.0973i q^{92} +(1.70309 - 8.82775i) q^{93} +(-1.39389 + 0.804762i) q^{94} +(-4.49769 + 2.59674i) q^{95} +(-1.92201 + 9.96248i) q^{96} +1.05407i q^{97} +(-5.13677 - 0.270045i) q^{98} +(-8.63034 - 10.9827i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} + O(q^{10}) \) \( 64q + 32q^{4} - 4q^{7} - 4q^{9} - 12q^{10} - 30q^{12} + 12q^{15} - 16q^{16} - 10q^{18} + 10q^{21} - 8q^{22} + 36q^{24} - 36q^{25} - 20q^{28} - 22q^{30} + 12q^{31} + 36q^{36} - 36q^{40} + 48q^{42} - 32q^{43} - 6q^{45} - 48q^{46} + 36q^{49} - 16q^{51} - 54q^{54} - 8q^{57} - 12q^{58} + 16q^{60} - 72q^{61} - 86q^{63} - 48q^{64} - 78q^{66} + 32q^{67} - 4q^{70} + 62q^{72} + 48q^{73} + 48q^{75} - 20q^{78} - 64q^{79} + 28q^{81} + 72q^{82} - 18q^{84} + 64q^{85} + 60q^{87} + 44q^{88} + 8q^{91} - 38q^{93} + 72q^{94} + 66q^{96} - 68q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.636389 + 0.367419i 0.449995 + 0.259805i 0.707828 0.706385i \(-0.249675\pi\)
−0.257833 + 0.966189i \(0.583009\pi\)
\(3\) 1.13449 1.30879i 0.654999 0.755629i
\(4\) −0.730006 1.26441i −0.365003 0.632204i
\(5\) −1.03100 + 1.78574i −0.461075 + 0.798606i −0.999015 0.0443777i \(-0.985869\pi\)
0.537940 + 0.842983i \(0.319203\pi\)
\(6\) 1.20285 0.416064i 0.491062 0.169857i
\(7\) −0.617429 2.57270i −0.233366 0.972389i
\(8\) 2.54255i 0.898927i
\(9\) −0.425855 2.96962i −0.141952 0.989874i
\(10\) −1.31223 + 0.757615i −0.414963 + 0.239579i
\(11\) 4.03218 2.32798i 1.21575 0.701913i 0.251743 0.967794i \(-0.418996\pi\)
0.964006 + 0.265882i \(0.0856630\pi\)
\(12\) −2.48303 0.479037i −0.716789 0.138286i
\(13\) 1.00000i 0.277350i
\(14\) 0.552334 1.86409i 0.147618 0.498199i
\(15\) 1.16750 + 3.37526i 0.301446 + 0.871488i
\(16\) −0.525831 + 0.910766i −0.131458 + 0.227692i
\(17\) 2.37277 + 4.10975i 0.575480 + 0.996761i 0.995989 + 0.0894726i \(0.0285181\pi\)
−0.420509 + 0.907288i \(0.638149\pi\)
\(18\) 0.820087 2.04630i 0.193296 0.482318i
\(19\) 2.18124 + 1.25934i 0.500410 + 0.288912i 0.728883 0.684639i \(-0.240040\pi\)
−0.228473 + 0.973550i \(0.573373\pi\)
\(20\) 3.01053 0.673176
\(21\) −4.06759 2.11062i −0.887620 0.460576i
\(22\) 3.42138 0.729440
\(23\) −6.58248 3.80040i −1.37254 0.792438i −0.381295 0.924453i \(-0.624522\pi\)
−0.991248 + 0.132016i \(0.957855\pi\)
\(24\) −3.32766 2.88450i −0.679256 0.588797i
\(25\) 0.374097 + 0.647955i 0.0748194 + 0.129591i
\(26\) −0.367419 + 0.636389i −0.0720568 + 0.124806i
\(27\) −4.36973 2.81166i −0.840956 0.541104i
\(28\) −2.80221 + 2.65877i −0.529569 + 0.502460i
\(29\) 7.76916i 1.44270i 0.692573 + 0.721348i \(0.256477\pi\)
−0.692573 + 0.721348i \(0.743523\pi\)
\(30\) −0.497154 + 2.57694i −0.0907675 + 0.470482i
\(31\) 4.49527 2.59534i 0.807374 0.466137i −0.0386694 0.999252i \(-0.512312\pi\)
0.846043 + 0.533115i \(0.178979\pi\)
\(32\) −5.07309 + 2.92895i −0.896804 + 0.517770i
\(33\) 1.52764 7.91835i 0.265929 1.37841i
\(34\) 3.48720i 0.598050i
\(35\) 5.23073 + 1.54988i 0.884155 + 0.261977i
\(36\) −3.44394 + 2.70630i −0.573989 + 0.451049i
\(37\) −2.73320 + 4.73405i −0.449336 + 0.778272i −0.998343 0.0575453i \(-0.981673\pi\)
0.549007 + 0.835818i \(0.315006\pi\)
\(38\) 0.925409 + 1.60286i 0.150121 + 0.260017i
\(39\) 1.30879 + 1.13449i 0.209574 + 0.181664i
\(40\) 4.54032 + 2.62136i 0.717888 + 0.414473i
\(41\) 3.99239 0.623506 0.311753 0.950163i \(-0.399084\pi\)
0.311753 + 0.950163i \(0.399084\pi\)
\(42\) −1.81308 2.83769i −0.279765 0.437865i
\(43\) 8.41855 1.28382 0.641908 0.766781i \(-0.278143\pi\)
0.641908 + 0.766781i \(0.278143\pi\)
\(44\) −5.88704 3.39888i −0.887504 0.512401i
\(45\) 5.74201 + 2.30120i 0.855969 + 0.343043i
\(46\) −2.79268 4.83706i −0.411758 0.713186i
\(47\) −1.09516 + 1.89686i −0.159745 + 0.276686i −0.934777 0.355236i \(-0.884400\pi\)
0.775032 + 0.631922i \(0.217734\pi\)
\(48\) 0.595449 + 1.72146i 0.0859457 + 0.248471i
\(49\) −6.23756 + 3.17692i −0.891080 + 0.453845i
\(50\) 0.549801i 0.0777536i
\(51\) 8.07068 + 1.55703i 1.13012 + 0.218028i
\(52\) 1.26441 0.730006i 0.175342 0.101234i
\(53\) 0.754260 0.435472i 0.103606 0.0598167i −0.447302 0.894383i \(-0.647615\pi\)
0.550907 + 0.834566i \(0.314282\pi\)
\(54\) −1.74779 3.39483i −0.237844 0.461978i
\(55\) 9.60055i 1.29454i
\(56\) −6.54122 + 1.56984i −0.874107 + 0.209779i
\(57\) 4.12280 1.42607i 0.546078 0.188887i
\(58\) −2.85454 + 4.94420i −0.374819 + 0.649206i
\(59\) −0.620058 1.07397i −0.0807247 0.139819i 0.822837 0.568278i \(-0.192390\pi\)
−0.903561 + 0.428459i \(0.859057\pi\)
\(60\) 3.41543 3.94015i 0.440930 0.508671i
\(61\) 9.38648 + 5.41929i 1.20182 + 0.693869i 0.960959 0.276692i \(-0.0892380\pi\)
0.240857 + 0.970561i \(0.422571\pi\)
\(62\) 3.81431 0.484418
\(63\) −7.37701 + 2.92913i −0.929415 + 0.369035i
\(64\) −2.20129 −0.275161
\(65\) −1.78574 1.03100i −0.221493 0.127879i
\(66\) 3.88153 4.47786i 0.477783 0.551187i
\(67\) −2.06791 3.58172i −0.252635 0.437576i 0.711616 0.702569i \(-0.247964\pi\)
−0.964250 + 0.264993i \(0.914630\pi\)
\(68\) 3.46427 6.00029i 0.420104 0.727642i
\(69\) −12.4417 + 4.30356i −1.49780 + 0.518087i
\(70\) 2.75932 + 2.90819i 0.329802 + 0.347596i
\(71\) 15.1751i 1.80095i −0.434906 0.900476i \(-0.643218\pi\)
0.434906 0.900476i \(-0.356782\pi\)
\(72\) −7.55041 + 1.08276i −0.889824 + 0.127604i
\(73\) −6.04087 + 3.48770i −0.707031 + 0.408204i −0.809961 0.586484i \(-0.800512\pi\)
0.102930 + 0.994689i \(0.467178\pi\)
\(74\) −3.47876 + 2.00846i −0.404397 + 0.233479i
\(75\) 1.27245 + 0.245486i 0.146929 + 0.0283463i
\(76\) 3.67729i 0.421815i
\(77\) −8.47878 8.93623i −0.966247 1.01838i
\(78\) 0.416064 + 1.20285i 0.0471100 + 0.136196i
\(79\) −3.36228 + 5.82364i −0.378286 + 0.655211i −0.990813 0.135239i \(-0.956820\pi\)
0.612527 + 0.790450i \(0.290153\pi\)
\(80\) −1.08426 1.87799i −0.121224 0.209966i
\(81\) −8.63730 + 2.52925i −0.959700 + 0.281028i
\(82\) 2.54071 + 1.46688i 0.280575 + 0.161990i
\(83\) −0.428315 −0.0470137 −0.0235068 0.999724i \(-0.507483\pi\)
−0.0235068 + 0.999724i \(0.507483\pi\)
\(84\) 0.300675 + 6.68386i 0.0328064 + 0.729269i
\(85\) −9.78524 −1.06136
\(86\) 5.35747 + 3.09314i 0.577711 + 0.333541i
\(87\) 10.1682 + 8.81405i 1.09014 + 0.944965i
\(88\) −5.91901 10.2520i −0.630968 1.09287i
\(89\) 1.97328 3.41782i 0.209167 0.362288i −0.742285 0.670084i \(-0.766258\pi\)
0.951452 + 0.307796i \(0.0995914\pi\)
\(90\) 2.80865 + 3.57418i 0.296057 + 0.376752i
\(91\) 2.57270 0.617429i 0.269692 0.0647241i
\(92\) 11.0973i 1.15697i
\(93\) 1.70309 8.82775i 0.176602 0.915395i
\(94\) −1.39389 + 0.804762i −0.143769 + 0.0830049i
\(95\) −4.49769 + 2.59674i −0.461453 + 0.266420i
\(96\) −1.92201 + 9.96248i −0.196164 + 1.01679i
\(97\) 1.05407i 0.107024i 0.998567 + 0.0535121i \(0.0170416\pi\)
−0.998567 + 0.0535121i \(0.982958\pi\)
\(98\) −5.13677 0.270045i −0.518893 0.0272787i
\(99\) −8.63034 10.9827i −0.867382 1.10380i
\(100\) 0.546186 0.946022i 0.0546186 0.0946022i
\(101\) −1.57162 2.72213i −0.156382 0.270862i 0.777179 0.629279i \(-0.216650\pi\)
−0.933562 + 0.358417i \(0.883317\pi\)
\(102\) 4.56400 + 3.95620i 0.451904 + 0.391722i
\(103\) 11.9982 + 6.92714i 1.18221 + 0.682552i 0.956526 0.291648i \(-0.0942036\pi\)
0.225688 + 0.974200i \(0.427537\pi\)
\(104\) 2.54255 0.249318
\(105\) 7.96268 5.08760i 0.777078 0.496499i
\(106\) 0.640003 0.0621626
\(107\) 4.60916 + 2.66110i 0.445584 + 0.257258i 0.705963 0.708248i \(-0.250514\pi\)
−0.260379 + 0.965506i \(0.583848\pi\)
\(108\) −0.365150 + 7.57766i −0.0351365 + 0.729160i
\(109\) −4.52220 7.83269i −0.433148 0.750235i 0.563994 0.825779i \(-0.309264\pi\)
−0.997142 + 0.0755437i \(0.975931\pi\)
\(110\) −3.52743 + 6.10968i −0.336327 + 0.582535i
\(111\) 3.09507 + 8.94792i 0.293771 + 0.849299i
\(112\) 2.66779 + 0.790472i 0.252083 + 0.0746926i
\(113\) 1.79902i 0.169238i 0.996413 + 0.0846188i \(0.0269672\pi\)
−0.996413 + 0.0846188i \(0.973033\pi\)
\(114\) 3.14767 + 0.607262i 0.294806 + 0.0568753i
\(115\) 13.5730 7.83639i 1.26569 0.730747i
\(116\) 9.82338 5.67153i 0.912078 0.526589i
\(117\) 2.96962 0.425855i 0.274542 0.0393703i
\(118\) 0.911285i 0.0838906i
\(119\) 9.10814 8.64189i 0.834942 0.792201i
\(120\) 8.58176 2.96841i 0.783404 0.270978i
\(121\) 5.33899 9.24740i 0.485363 0.840673i
\(122\) 3.98230 + 6.89755i 0.360541 + 0.624475i
\(123\) 4.52933 5.22519i 0.408396 0.471140i
\(124\) −6.56314 3.78923i −0.589388 0.340283i
\(125\) −11.8527 −1.06014
\(126\) −5.77086 0.846391i −0.514109 0.0754025i
\(127\) −21.7797 −1.93263 −0.966316 0.257359i \(-0.917148\pi\)
−0.966316 + 0.257359i \(0.917148\pi\)
\(128\) 8.74531 + 5.04911i 0.772983 + 0.446282i
\(129\) 9.55078 11.0181i 0.840899 0.970089i
\(130\) −0.757615 1.31223i −0.0664472 0.115090i
\(131\) −9.46302 + 16.3904i −0.826788 + 1.43204i 0.0737576 + 0.997276i \(0.476501\pi\)
−0.900545 + 0.434762i \(0.856832\pi\)
\(132\) −11.1272 + 3.84888i −0.968500 + 0.335002i
\(133\) 1.89314 6.38921i 0.164156 0.554015i
\(134\) 3.03915i 0.262543i
\(135\) 9.52606 4.90439i 0.819872 0.422102i
\(136\) 10.4492 6.03287i 0.896015 0.517315i
\(137\) 15.9230 9.19313i 1.36039 0.785422i 0.370715 0.928747i \(-0.379113\pi\)
0.989676 + 0.143325i \(0.0457793\pi\)
\(138\) −9.49896 1.83258i −0.808605 0.156000i
\(139\) 4.10030i 0.347783i −0.984765 0.173892i \(-0.944366\pi\)
0.984765 0.173892i \(-0.0556342\pi\)
\(140\) −1.85879 7.74520i −0.157096 0.654589i
\(141\) 1.24015 + 3.58531i 0.104439 + 0.301937i
\(142\) 5.57562 9.65725i 0.467895 0.810419i
\(143\) 2.32798 + 4.03218i 0.194676 + 0.337188i
\(144\) 2.92856 + 1.17367i 0.244047 + 0.0978054i
\(145\) −13.8737 8.00996i −1.15215 0.665191i
\(146\) −5.12579 −0.424213
\(147\) −2.91855 + 11.7678i −0.240718 + 0.970595i
\(148\) 7.98102 0.656036
\(149\) 13.6539 + 7.88308i 1.11857 + 0.645807i 0.941036 0.338307i \(-0.109854\pi\)
0.177535 + 0.984114i \(0.443188\pi\)
\(150\) 0.719574 + 0.623745i 0.0587529 + 0.0509286i
\(151\) −7.18429 12.4435i −0.584649 1.01264i −0.994919 0.100678i \(-0.967899\pi\)
0.410270 0.911964i \(-0.365434\pi\)
\(152\) 3.20193 5.54590i 0.259711 0.449832i
\(153\) 11.1939 8.79637i 0.904977 0.711144i
\(154\) −2.11246 8.80218i −0.170227 0.709300i
\(155\) 10.7031i 0.859697i
\(156\) 0.479037 2.48303i 0.0383537 0.198801i
\(157\) −6.99731 + 4.03990i −0.558446 + 0.322419i −0.752521 0.658568i \(-0.771163\pi\)
0.194076 + 0.980987i \(0.437829\pi\)
\(158\) −4.27944 + 2.47073i −0.340454 + 0.196561i
\(159\) 0.285761 1.48121i 0.0226623 0.117467i
\(160\) 12.0789i 0.954924i
\(161\) −5.71307 + 19.2812i −0.450253 + 1.51957i
\(162\) −6.42597 1.56392i −0.504872 0.122873i
\(163\) −3.27936 + 5.68001i −0.256859 + 0.444893i −0.965399 0.260778i \(-0.916021\pi\)
0.708540 + 0.705671i \(0.249354\pi\)
\(164\) −2.91447 5.04801i −0.227582 0.394183i
\(165\) 12.5651 + 10.8918i 0.978191 + 0.847922i
\(166\) −0.272575 0.157371i −0.0211559 0.0122144i
\(167\) −16.9314 −1.31019 −0.655097 0.755545i \(-0.727372\pi\)
−0.655097 + 0.755545i \(0.727372\pi\)
\(168\) −5.36637 + 10.3420i −0.414024 + 0.797906i
\(169\) −1.00000 −0.0769231
\(170\) −6.22722 3.59529i −0.477606 0.275746i
\(171\) 2.81086 7.01374i 0.214952 0.536354i
\(172\) −6.14559 10.6445i −0.468597 0.811634i
\(173\) 10.0883 17.4734i 0.766998 1.32848i −0.172185 0.985065i \(-0.555083\pi\)
0.939184 0.343415i \(-0.111584\pi\)
\(174\) 3.23247 + 9.34514i 0.245053 + 0.708454i
\(175\) 1.43601 1.36250i 0.108552 0.102996i
\(176\) 4.89650i 0.369088i
\(177\) −2.10905 0.406888i −0.158526 0.0305836i
\(178\) 2.51155 1.45004i 0.188248 0.108685i
\(179\) −5.57825 + 3.22061i −0.416938 + 0.240719i −0.693766 0.720200i \(-0.744050\pi\)
0.276828 + 0.960919i \(0.410717\pi\)
\(180\) −1.28205 8.94014i −0.0955583 0.666359i
\(181\) 3.91701i 0.291149i 0.989347 + 0.145574i \(0.0465030\pi\)
−0.989347 + 0.145574i \(0.953497\pi\)
\(182\) 1.86409 + 0.552334i 0.138176 + 0.0409417i
\(183\) 17.7416 6.13678i 1.31150 0.453644i
\(184\) −9.66270 + 16.7363i −0.712344 + 1.23382i
\(185\) −5.63584 9.76156i −0.414355 0.717684i
\(186\) 4.32731 4.99213i 0.317294 0.366041i
\(187\) 19.1348 + 11.0475i 1.39928 + 0.807874i
\(188\) 3.19788 0.233229
\(189\) −4.53555 + 12.9780i −0.329913 + 0.944011i
\(190\) −3.81637 −0.276869
\(191\) −18.5943 10.7354i −1.34544 0.776788i −0.357836 0.933784i \(-0.616485\pi\)
−0.987599 + 0.156997i \(0.949819\pi\)
\(192\) −2.49734 + 2.88102i −0.180230 + 0.207919i
\(193\) 0.891272 + 1.54373i 0.0641552 + 0.111120i 0.896319 0.443410i \(-0.146231\pi\)
−0.832164 + 0.554530i \(0.812898\pi\)
\(194\) −0.387284 + 0.670795i −0.0278054 + 0.0481603i
\(195\) −3.37526 + 1.16750i −0.241707 + 0.0836061i
\(196\) 8.57038 + 5.56765i 0.612170 + 0.397690i
\(197\) 5.88943i 0.419604i −0.977744 0.209802i \(-0.932718\pi\)
0.977744 0.209802i \(-0.0672820\pi\)
\(198\) −1.45701 10.1602i −0.103545 0.722054i
\(199\) −3.58920 + 2.07223i −0.254432 + 0.146896i −0.621792 0.783183i \(-0.713595\pi\)
0.367360 + 0.930079i \(0.380262\pi\)
\(200\) 1.64746 0.951160i 0.116493 0.0672572i
\(201\) −7.03373 1.35698i −0.496121 0.0957140i
\(202\) 2.30978i 0.162515i
\(203\) 19.9877 4.79690i 1.40286 0.336677i
\(204\) −3.92292 11.3413i −0.274660 0.794048i
\(205\) −4.11613 + 7.12935i −0.287483 + 0.497936i
\(206\) 5.09033 + 8.81671i 0.354660 + 0.614289i
\(207\) −8.48256 + 21.1659i −0.589579 + 1.47113i
\(208\) −0.910766 0.525831i −0.0631503 0.0364598i
\(209\) 11.7268 0.811163
\(210\) 6.93664 0.312047i 0.478674 0.0215333i
\(211\) 5.18433 0.356904 0.178452 0.983949i \(-0.442891\pi\)
0.178452 + 0.983949i \(0.442891\pi\)
\(212\) −1.10123 0.635795i −0.0756327 0.0436666i
\(213\) −19.8610 17.2160i −1.36085 1.17962i
\(214\) 1.95548 + 3.38699i 0.133674 + 0.231530i
\(215\) −8.67948 + 15.0333i −0.591936 + 1.02526i
\(216\) −7.14878 + 11.1103i −0.486413 + 0.755958i
\(217\) −9.45254 9.96253i −0.641680 0.676300i
\(218\) 6.64618i 0.450136i
\(219\) −2.28866 + 11.8630i −0.154653 + 0.801627i
\(220\) 12.1390 7.00846i 0.818412 0.472510i
\(221\) −4.10975 + 2.37277i −0.276452 + 0.159609i
\(222\) −1.31797 + 6.83154i −0.0884565 + 0.458503i
\(223\) 18.7302i 1.25427i 0.778912 + 0.627134i \(0.215772\pi\)
−0.778912 + 0.627134i \(0.784228\pi\)
\(224\) 10.6676 + 11.2431i 0.712758 + 0.751213i
\(225\) 1.76487 1.38686i 0.117658 0.0924573i
\(226\) −0.660995 + 1.14488i −0.0439687 + 0.0761560i
\(227\) −3.51302 6.08472i −0.233167 0.403857i 0.725571 0.688147i \(-0.241576\pi\)
−0.958738 + 0.284290i \(0.908242\pi\)
\(228\) −4.81280 4.17186i −0.318736 0.276288i
\(229\) −11.3143 6.53230i −0.747668 0.431667i 0.0771824 0.997017i \(-0.475408\pi\)
−0.824851 + 0.565350i \(0.808741\pi\)
\(230\) 11.5170 0.759405
\(231\) −21.3147 + 0.958850i −1.40241 + 0.0630877i
\(232\) 19.7535 1.29688
\(233\) 3.53934 + 2.04344i 0.231870 + 0.133870i 0.611434 0.791295i \(-0.290593\pi\)
−0.379564 + 0.925165i \(0.623926\pi\)
\(234\) 2.04630 + 0.820087i 0.133771 + 0.0536107i
\(235\) −2.25820 3.91132i −0.147309 0.255146i
\(236\) −0.905293 + 1.56801i −0.0589296 + 0.102069i
\(237\) 3.80743 + 11.0074i 0.247319 + 0.715007i
\(238\) 8.97151 2.15310i 0.581537 0.139565i
\(239\) 5.55543i 0.359351i 0.983726 + 0.179676i \(0.0575048\pi\)
−0.983726 + 0.179676i \(0.942495\pi\)
\(240\) −3.68798 0.711501i −0.238058 0.0459272i
\(241\) −0.872052 + 0.503480i −0.0561738 + 0.0324320i −0.527824 0.849354i \(-0.676992\pi\)
0.471650 + 0.881786i \(0.343659\pi\)
\(242\) 6.79534 3.92329i 0.436821 0.252199i
\(243\) −6.48869 + 14.1738i −0.416249 + 0.909250i
\(244\) 15.8245i 1.01306i
\(245\) 0.757760 14.4140i 0.0484115 0.920879i
\(246\) 4.80225 1.66109i 0.306180 0.105907i
\(247\) −1.25934 + 2.18124i −0.0801297 + 0.138789i
\(248\) −6.59879 11.4294i −0.419023 0.725770i
\(249\) −0.485920 + 0.560574i −0.0307939 + 0.0355249i
\(250\) −7.54294 4.35492i −0.477057 0.275429i
\(251\) 12.6703 0.799742 0.399871 0.916571i \(-0.369055\pi\)
0.399871 + 0.916571i \(0.369055\pi\)
\(252\) 9.08887 + 7.18927i 0.572545 + 0.452881i
\(253\) −35.3890 −2.22489
\(254\) −13.8603 8.00226i −0.869674 0.502107i
\(255\) −11.1013 + 12.8068i −0.695189 + 0.801994i
\(256\) 5.91156 + 10.2391i 0.369473 + 0.639945i
\(257\) −0.188757 + 0.326936i −0.0117743 + 0.0203937i −0.871853 0.489768i \(-0.837081\pi\)
0.860078 + 0.510162i \(0.170415\pi\)
\(258\) 10.1263 3.50265i 0.630434 0.218066i
\(259\) 13.8668 + 4.10877i 0.861643 + 0.255307i
\(260\) 3.01053i 0.186705i
\(261\) 23.0714 3.30853i 1.42809 0.204793i
\(262\) −12.0443 + 6.95379i −0.744100 + 0.429606i
\(263\) −1.15919 + 0.669257i −0.0714786 + 0.0412682i −0.535313 0.844654i \(-0.679806\pi\)
0.463835 + 0.885922i \(0.346473\pi\)
\(264\) −20.1328 3.88411i −1.23909 0.239050i
\(265\) 1.79588i 0.110320i
\(266\) 3.55229 3.37045i 0.217805 0.206655i
\(267\) −2.23453 6.46010i −0.136751 0.395352i
\(268\) −3.01917 + 5.22935i −0.184425 + 0.319434i
\(269\) 2.81642 + 4.87819i 0.171720 + 0.297428i 0.939021 0.343859i \(-0.111734\pi\)
−0.767301 + 0.641287i \(0.778401\pi\)
\(270\) 7.86424 + 0.378959i 0.478602 + 0.0230627i
\(271\) 17.1317 + 9.89099i 1.04068 + 0.600835i 0.920025 0.391860i \(-0.128168\pi\)
0.120652 + 0.992695i \(0.461502\pi\)
\(272\) −4.99070 −0.302605
\(273\) 2.11062 4.06759i 0.127741 0.246182i
\(274\) 13.5109 0.816225
\(275\) 3.01685 + 1.74178i 0.181923 + 0.105033i
\(276\) 14.5240 + 12.5898i 0.874240 + 0.757814i
\(277\) −3.57358 6.18963i −0.214716 0.371899i 0.738469 0.674288i \(-0.235549\pi\)
−0.953185 + 0.302389i \(0.902216\pi\)
\(278\) 1.50653 2.60939i 0.0903556 0.156501i
\(279\) −9.62151 12.2440i −0.576025 0.733029i
\(280\) 3.94064 13.2994i 0.235498 0.794791i
\(281\) 20.7294i 1.23661i 0.785938 + 0.618305i \(0.212180\pi\)
−0.785938 + 0.618305i \(0.787820\pi\)
\(282\) −0.528093 + 2.73730i −0.0314475 + 0.163004i
\(283\) −27.7297 + 16.0097i −1.64836 + 0.951679i −0.670632 + 0.741790i \(0.733977\pi\)
−0.977725 + 0.209889i \(0.932690\pi\)
\(284\) −19.1875 + 11.0779i −1.13857 + 0.657353i
\(285\) −1.70401 + 8.83250i −0.100937 + 0.523192i
\(286\) 3.42138i 0.202310i
\(287\) −2.46502 10.2712i −0.145505 0.606291i
\(288\) 10.8583 + 13.8179i 0.639830 + 0.814225i
\(289\) −2.76003 + 4.78052i −0.162355 + 0.281207i
\(290\) −5.88603 10.1949i −0.345639 0.598665i
\(291\) 1.37955 + 1.19583i 0.0808706 + 0.0701008i
\(292\) 8.81975 + 5.09208i 0.516137 + 0.297992i
\(293\) −12.7694 −0.745995 −0.372997 0.927832i \(-0.621670\pi\)
−0.372997 + 0.927832i \(0.621670\pi\)
\(294\) −6.18106 + 6.41659i −0.360487 + 0.374223i
\(295\) 2.55711 0.148881
\(296\) 12.0365 + 6.94930i 0.699610 + 0.403920i
\(297\) −24.1650 1.16446i −1.40220 0.0675687i
\(298\) 5.79279 + 10.0334i 0.335567 + 0.581220i
\(299\) 3.80040 6.58248i 0.219783 0.380675i
\(300\) −0.618499 1.78810i −0.0357090 0.103236i
\(301\) −5.19786 21.6584i −0.299599 1.24837i
\(302\) 10.5586i 0.607578i
\(303\) −5.34569 1.03131i −0.307102 0.0592475i
\(304\) −2.29392 + 1.32440i −0.131566 + 0.0759594i
\(305\) −19.3548 + 11.1745i −1.10826 + 0.639851i
\(306\) 10.3557 1.48504i 0.591993 0.0848941i
\(307\) 8.91757i 0.508953i −0.967079 0.254476i \(-0.918097\pi\)
0.967079 0.254476i \(-0.0819031\pi\)
\(308\) −5.10947 + 17.2441i −0.291139 + 0.982576i
\(309\) 22.6780 7.84427i 1.29011 0.446245i
\(310\) −3.93254 + 6.81136i −0.223353 + 0.386859i
\(311\) 9.55334 + 16.5469i 0.541720 + 0.938287i 0.998805 + 0.0488641i \(0.0155601\pi\)
−0.457085 + 0.889423i \(0.651107\pi\)
\(312\) 2.88450 3.32766i 0.163303 0.188392i
\(313\) −10.2120 5.89590i −0.577217 0.333256i 0.182810 0.983148i \(-0.441481\pi\)
−0.760027 + 0.649892i \(0.774814\pi\)
\(314\) −5.93734 −0.335064
\(315\) 2.37501 16.1933i 0.133817 0.912389i
\(316\) 9.81795 0.552303
\(317\) 6.69962 + 3.86803i 0.376288 + 0.217250i 0.676202 0.736716i \(-0.263625\pi\)
−0.299914 + 0.953966i \(0.596958\pi\)
\(318\) 0.726078 0.837628i 0.0407165 0.0469719i
\(319\) 18.0864 + 31.3266i 1.01265 + 1.75396i
\(320\) 2.26952 3.93092i 0.126870 0.219745i
\(321\) 8.71187 3.01342i 0.486249 0.168193i
\(322\) −10.7200 + 10.1713i −0.597403 + 0.566822i
\(323\) 11.9524i 0.665052i
\(324\) 9.50329 + 9.07470i 0.527961 + 0.504150i
\(325\) −0.647955 + 0.374097i −0.0359421 + 0.0207512i
\(326\) −4.17389 + 2.40980i −0.231171 + 0.133466i
\(327\) −15.3817 2.96751i −0.850612 0.164104i
\(328\) 10.1508i 0.560487i
\(329\) 5.55624 + 1.64633i 0.306326 + 0.0907649i
\(330\) 3.99444 + 11.5480i 0.219887 + 0.635699i
\(331\) 7.76302 13.4459i 0.426694 0.739056i −0.569883 0.821726i \(-0.693011\pi\)
0.996577 + 0.0826699i \(0.0263447\pi\)
\(332\) 0.312673 + 0.541565i 0.0171601 + 0.0297223i
\(333\) 15.2223 + 6.10056i 0.834175 + 0.334309i
\(334\) −10.7750 6.22093i −0.589580 0.340394i
\(335\) 8.52800 0.465935
\(336\) 4.06115 2.59479i 0.221554 0.141557i
\(337\) −23.0346 −1.25478 −0.627388 0.778707i \(-0.715876\pi\)
−0.627388 + 0.778707i \(0.715876\pi\)
\(338\) −0.636389 0.367419i −0.0346150 0.0199850i
\(339\) 2.35454 + 2.04097i 0.127881 + 0.110851i
\(340\) 7.14329 + 12.3725i 0.387399 + 0.670995i
\(341\) 12.0838 20.9298i 0.654375 1.13341i
\(342\) 4.36578 3.43070i 0.236074 0.185511i
\(343\) 12.0245 + 14.0859i 0.649262 + 0.760565i
\(344\) 21.4046i 1.15406i
\(345\) 5.14231 26.6545i 0.276853 1.43503i
\(346\) 12.8401 7.41326i 0.690290 0.398539i
\(347\) 0.673331 0.388748i 0.0361463 0.0208691i −0.481818 0.876271i \(-0.660023\pi\)
0.517964 + 0.855402i \(0.326690\pi\)
\(348\) 3.72172 19.2910i 0.199505 1.03411i
\(349\) 3.92987i 0.210361i 0.994453 + 0.105181i \(0.0335421\pi\)
−0.994453 + 0.105181i \(0.966458\pi\)
\(350\) 1.41447 0.339463i 0.0756068 0.0181451i
\(351\) 2.81166 4.36973i 0.150075 0.233239i
\(352\) −13.6371 + 23.6201i −0.726859 + 1.25896i
\(353\) −6.10732 10.5782i −0.325060 0.563020i 0.656465 0.754357i \(-0.272051\pi\)
−0.981524 + 0.191337i \(0.938718\pi\)
\(354\) −1.19268 1.03385i −0.0633902 0.0549483i
\(355\) 27.0987 + 15.6454i 1.43825 + 0.830374i
\(356\) −5.76203 −0.305387
\(357\) −0.977296 21.7248i −0.0517240 1.14980i
\(358\) −4.73325 −0.250160
\(359\) −13.7332 7.92887i −0.724811 0.418470i 0.0917100 0.995786i \(-0.470767\pi\)
−0.816521 + 0.577316i \(0.804100\pi\)
\(360\) 5.85092 14.5994i 0.308371 0.769454i
\(361\) −6.32814 10.9607i −0.333060 0.576877i
\(362\) −1.43918 + 2.49274i −0.0756418 + 0.131015i
\(363\) −6.04585 17.4787i −0.317325 0.917395i
\(364\) −2.65877 2.80221i −0.139357 0.146876i
\(365\) 14.3832i 0.752851i
\(366\) 13.5453 + 2.61322i 0.708025 + 0.136595i
\(367\) −29.3459 + 16.9429i −1.53184 + 0.884410i −0.532566 + 0.846388i \(0.678772\pi\)
−0.999277 + 0.0380219i \(0.987894\pi\)
\(368\) 6.92255 3.99674i 0.360863 0.208344i
\(369\) −1.70018 11.8559i −0.0885077 0.617192i
\(370\) 8.28286i 0.430605i
\(371\) −1.58604 1.67161i −0.0823431 0.0867857i
\(372\) −12.4051 + 4.29091i −0.643177 + 0.222473i
\(373\) −4.76469 + 8.25268i −0.246706 + 0.427307i −0.962610 0.270891i \(-0.912682\pi\)
0.715904 + 0.698199i \(0.246015\pi\)
\(374\) 8.11813 + 14.0610i 0.419779 + 0.727078i
\(375\) −13.4468 + 15.5127i −0.694391 + 0.801073i
\(376\) 4.82287 + 2.78449i 0.248721 + 0.143599i
\(377\) −7.76916 −0.400132
\(378\) −7.65474 + 6.59261i −0.393717 + 0.339087i
\(379\) −16.1971 −0.831987 −0.415993 0.909368i \(-0.636566\pi\)
−0.415993 + 0.909368i \(0.636566\pi\)
\(380\) 6.56668 + 3.79127i 0.336864 + 0.194488i
\(381\) −24.7088 + 28.5050i −1.26587 + 1.46035i
\(382\) −7.88880 13.6638i −0.403626 0.699101i
\(383\) −4.88802 + 8.46629i −0.249766 + 0.432607i −0.963461 0.267849i \(-0.913687\pi\)
0.713695 + 0.700457i \(0.247020\pi\)
\(384\) 16.5297 5.71759i 0.843528 0.291774i
\(385\) 24.6993 5.92766i 1.25879 0.302101i
\(386\) 1.30988i 0.0666712i
\(387\) −3.58508 24.9999i −0.182240 1.27082i
\(388\) 1.33277 0.769475i 0.0676611 0.0390642i
\(389\) −6.83358 + 3.94537i −0.346476 + 0.200038i −0.663132 0.748502i \(-0.730773\pi\)
0.316656 + 0.948540i \(0.397440\pi\)
\(390\) −2.57694 0.497154i −0.130488 0.0251744i
\(391\) 36.0698i 1.82413i
\(392\) 8.07747 + 15.8593i 0.407974 + 0.801016i
\(393\) 10.7159 + 30.9799i 0.540545 + 1.56273i
\(394\) 2.16389 3.74797i 0.109015 0.188820i
\(395\) −6.93299 12.0083i −0.348837 0.604203i
\(396\) −7.58637 + 18.9297i −0.381229 + 0.951253i
\(397\) −6.87226 3.96770i −0.344909 0.199133i 0.317532 0.948248i \(-0.397146\pi\)
−0.662441 + 0.749114i \(0.730479\pi\)
\(398\) −3.04550 −0.152657
\(399\) −6.21438 9.72623i −0.311108 0.486920i
\(400\) −0.786847 −0.0393424
\(401\) −13.2464 7.64780i −0.661493 0.381913i 0.131353 0.991336i \(-0.458068\pi\)
−0.792846 + 0.609423i \(0.791401\pi\)
\(402\) −3.97761 3.44789i −0.198385 0.171965i
\(403\) 2.59534 + 4.49527i 0.129283 + 0.223925i
\(404\) −2.29459 + 3.97435i −0.114160 + 0.197731i
\(405\) 4.38843 18.0316i 0.218063 0.895997i
\(406\) 14.4824 + 4.29117i 0.718750 + 0.212967i
\(407\) 25.4514i 1.26158i
\(408\) 3.95883 20.5201i 0.195991 1.01590i
\(409\) 27.6073 15.9391i 1.36509 0.788136i 0.374794 0.927108i \(-0.377713\pi\)
0.990296 + 0.138972i \(0.0443799\pi\)
\(410\) −5.23892 + 3.02469i −0.258732 + 0.149379i
\(411\) 6.03262 31.2693i 0.297567 1.54240i
\(412\) 20.2274i 0.996534i
\(413\) −2.38017 + 2.25833i −0.117120 + 0.111125i
\(414\) −13.1750 + 10.3531i −0.647514 + 0.508826i
\(415\) 0.441591 0.764858i 0.0216769 0.0375454i
\(416\) −2.92895 5.07309i −0.143604 0.248729i
\(417\) −5.36643 4.65176i −0.262795 0.227798i
\(418\) 7.46283 + 4.30867i 0.365019 + 0.210744i
\(419\) −10.4315 −0.509613 −0.254806 0.966992i \(-0.582012\pi\)
−0.254806 + 0.966992i \(0.582012\pi\)
\(420\) −12.2456 6.35410i −0.597524 0.310048i
\(421\) 26.3649 1.28495 0.642474 0.766307i \(-0.277908\pi\)
0.642474 + 0.766307i \(0.277908\pi\)
\(422\) 3.29925 + 1.90482i 0.160605 + 0.0927254i
\(423\) 6.09935 + 2.44441i 0.296560 + 0.118851i
\(424\) −1.10721 1.91774i −0.0537708 0.0931338i
\(425\) −1.77529 + 3.07489i −0.0861141 + 0.149154i
\(426\) −6.31381 18.2534i −0.305905 0.884379i
\(427\) 8.14671 27.4946i 0.394247 1.33056i
\(428\) 7.77048i 0.375600i
\(429\) 7.91835 + 1.52764i 0.382301 + 0.0737553i
\(430\) −11.0470 + 6.37802i −0.532736 + 0.307575i
\(431\) 34.4553 19.8928i 1.65965 0.958202i 0.686780 0.726865i \(-0.259024\pi\)
0.972874 0.231336i \(-0.0743098\pi\)
\(432\) 4.85851 2.50135i 0.233755 0.120346i
\(433\) 7.06996i 0.339761i 0.985465 + 0.169880i \(0.0543381\pi\)
−0.985465 + 0.169880i \(0.945662\pi\)
\(434\) −2.35507 9.81308i −0.113047 0.471043i
\(435\) −26.2229 + 9.07045i −1.25729 + 0.434895i
\(436\) −6.60247 + 11.4358i −0.316201 + 0.547676i
\(437\) −9.57196 16.5791i −0.457889 0.793087i
\(438\) −5.81517 + 6.70857i −0.277859 + 0.320548i
\(439\) 29.5539 + 17.0630i 1.41053 + 0.814371i 0.995438 0.0954077i \(-0.0304155\pi\)
0.415094 + 0.909779i \(0.363749\pi\)
\(440\) 24.4099 1.16370
\(441\) 12.0905 + 17.1703i 0.575740 + 0.817633i
\(442\) −3.48720 −0.165869
\(443\) 14.4159 + 8.32305i 0.684922 + 0.395440i 0.801707 0.597717i \(-0.203925\pi\)
−0.116785 + 0.993157i \(0.537259\pi\)
\(444\) 9.05441 10.4455i 0.429703 0.495720i
\(445\) 4.06889 + 7.04752i 0.192884 + 0.334084i
\(446\) −6.88183 + 11.9197i −0.325864 + 0.564414i
\(447\) 25.8075 8.92677i 1.22065 0.422222i
\(448\) 1.35914 + 5.66325i 0.0642132 + 0.267563i
\(449\) 1.73022i 0.0816542i 0.999166 + 0.0408271i \(0.0129993\pi\)
−0.999166 + 0.0408271i \(0.987001\pi\)
\(450\) 1.63270 0.234135i 0.0769663 0.0110373i
\(451\) 16.0980 9.29420i 0.758027 0.437647i
\(452\) 2.27470 1.31330i 0.106993 0.0617723i
\(453\) −24.4365 4.71440i −1.14813 0.221502i
\(454\) 5.16300i 0.242311i
\(455\) −1.54988 + 5.23073i −0.0726593 + 0.245220i
\(456\) −3.62585 10.4824i −0.169796 0.490884i
\(457\) 7.97775 13.8179i 0.373183 0.646372i −0.616870 0.787065i \(-0.711600\pi\)
0.990053 + 0.140693i \(0.0449329\pi\)
\(458\) −4.80018 8.31416i −0.224298 0.388495i
\(459\) 1.18686 24.6299i 0.0553978 1.14963i
\(460\) −19.8168 11.4412i −0.923962 0.533450i
\(461\) 25.4124 1.18357 0.591786 0.806095i \(-0.298423\pi\)
0.591786 + 0.806095i \(0.298423\pi\)
\(462\) −13.9168 7.22124i −0.647466 0.335963i
\(463\) 16.6866 0.775491 0.387745 0.921767i \(-0.373254\pi\)
0.387745 + 0.921767i \(0.373254\pi\)
\(464\) −7.07589 4.08526i −0.328490 0.189654i
\(465\) 14.0082 + 12.1426i 0.649613 + 0.563101i
\(466\) 1.50160 + 2.60084i 0.0695602 + 0.120482i
\(467\) 9.86961 17.0947i 0.456711 0.791047i −0.542074 0.840331i \(-0.682361\pi\)
0.998785 + 0.0492843i \(0.0156940\pi\)
\(468\) −2.70630 3.44394i −0.125099 0.159196i
\(469\) −7.93790 + 7.53155i −0.366538 + 0.347775i
\(470\) 3.31882i 0.153086i
\(471\) −2.65102 + 13.7412i −0.122153 + 0.633162i
\(472\) −2.73063 + 1.57653i −0.125687 + 0.0725656i
\(473\) 33.9451 19.5982i 1.56080 0.901127i
\(474\) −1.62132 + 8.40390i −0.0744697 + 0.386004i
\(475\) 1.88446i 0.0864647i
\(476\) −17.5759 5.20777i −0.805589 0.238698i
\(477\) −1.61439 2.05442i −0.0739179 0.0940653i
\(478\) −2.04117 + 3.53541i −0.0933611 + 0.161706i
\(479\) 3.87793 + 6.71677i 0.177187 + 0.306897i 0.940916 0.338640i \(-0.109967\pi\)
−0.763729 + 0.645537i \(0.776634\pi\)
\(480\) −15.8088 13.7035i −0.721569 0.625475i
\(481\) −4.73405 2.73320i −0.215854 0.124623i
\(482\) −0.739952 −0.0337039
\(483\) 18.7536 + 29.3516i 0.853319 + 1.33554i
\(484\) −15.5900 −0.708636
\(485\) −1.88228 1.08674i −0.0854701 0.0493462i
\(486\) −9.33706 + 6.63598i −0.423537 + 0.301014i
\(487\) 14.0500 + 24.3353i 0.636665 + 1.10274i 0.986160 + 0.165798i \(0.0530200\pi\)
−0.349494 + 0.936938i \(0.613647\pi\)
\(488\) 13.7788 23.8656i 0.623738 1.08035i
\(489\) 3.71353 + 10.7359i 0.167932 + 0.485495i
\(490\) 5.77822 8.89451i 0.261033 0.401813i
\(491\) 11.3088i 0.510361i −0.966893 0.255180i \(-0.917865\pi\)
0.966893 0.255180i \(-0.0821348\pi\)
\(492\) −9.91322 1.91250i −0.446922 0.0862223i
\(493\) −31.9293 + 18.4344i −1.43802 + 0.830243i
\(494\) −1.60286 + 0.925409i −0.0721159 + 0.0416361i
\(495\) 28.5100 4.08844i 1.28143 0.183762i
\(496\) 5.45885i 0.245110i
\(497\) −39.0409 + 9.36954i −1.75123 + 0.420281i
\(498\) −0.515200 + 0.178207i −0.0230867 + 0.00798562i
\(499\) 8.78073 15.2087i 0.393079 0.680834i −0.599775 0.800169i \(-0.704743\pi\)
0.992854 + 0.119335i \(0.0380764\pi\)
\(500\) 8.65256 + 14.9867i 0.386954 + 0.670225i
\(501\) −19.2086 + 22.1597i −0.858176 + 0.990020i
\(502\) 8.06323 + 4.65531i 0.359880 + 0.207777i
\(503\) 9.97447 0.444739 0.222370 0.974962i \(-0.428621\pi\)
0.222370 + 0.974962i \(0.428621\pi\)
\(504\) 7.44745 + 18.7564i 0.331736 + 0.835477i
\(505\) 6.48134 0.288416
\(506\) −22.5212 13.0026i −1.00119 0.578036i
\(507\) −1.13449 + 1.30879i −0.0503846 + 0.0581253i
\(508\) 15.8993 + 27.5384i 0.705417 + 1.22182i
\(509\) −16.7654 + 29.0385i −0.743112 + 1.28711i 0.207960 + 0.978137i \(0.433318\pi\)
−0.951072 + 0.308970i \(0.900016\pi\)
\(510\) −11.7702 + 4.07129i −0.521193 + 0.180280i
\(511\) 12.7026 + 13.3879i 0.561930 + 0.592248i
\(512\) 11.5083i 0.508602i
\(513\) −5.99059 11.6359i −0.264491 0.513736i
\(514\) −0.240245 + 0.138706i −0.0105968 + 0.00611804i
\(515\) −24.7401 + 14.2837i −1.09018 + 0.629415i
\(516\) −20.9035 4.03280i −0.920225 0.177534i
\(517\) 10.1980i 0.448508i
\(518\) 7.31505 + 7.70972i 0.321405 + 0.338745i
\(519\) −11.4239 33.0269i −0.501455 1.44972i
\(520\) −2.62136 + 4.54032i −0.114954 + 0.199106i
\(521\) 9.33352 + 16.1661i 0.408909 + 0.708251i 0.994768 0.102162i \(-0.0325760\pi\)
−0.585859 + 0.810413i \(0.699243\pi\)
\(522\) 15.8980 + 6.37138i 0.695838 + 0.278868i
\(523\) 4.77202 + 2.75513i 0.208666 + 0.120473i 0.600691 0.799481i \(-0.294892\pi\)
−0.392025 + 0.919954i \(0.628225\pi\)
\(524\) 27.6323 1.20712
\(525\) −0.154083 3.42519i −0.00672474 0.149488i
\(526\) −0.983592 −0.0428866
\(527\) 21.3324 + 12.3163i 0.929255 + 0.536506i
\(528\) 6.40848 + 5.55504i 0.278893 + 0.241752i
\(529\) 17.3861 + 30.1135i 0.755915 + 1.30928i
\(530\) −0.659840 + 1.14288i −0.0286616 + 0.0496434i
\(531\) −2.92524 + 2.29869i −0.126944 + 0.0997549i
\(532\) −9.46057 + 2.27047i −0.410168 + 0.0984373i
\(533\) 3.99239i 0.172930i
\(534\) 0.951532 4.93214i 0.0411768 0.213435i
\(535\) −9.50404 + 5.48716i −0.410896 + 0.237231i
\(536\) −9.10669 + 5.25775i −0.393349 + 0.227100i
\(537\) −2.11339 + 10.9545i −0.0911996 + 0.472722i
\(538\) 4.13923i 0.178455i
\(539\) −17.7552 + 27.3308i −0.764770 + 1.17722i
\(540\) −13.1552 8.46459i −0.566111 0.364258i
\(541\) 14.8303 25.6868i 0.637604 1.10436i −0.348353 0.937364i \(-0.613259\pi\)
0.985957 0.167000i \(-0.0534079\pi\)
\(542\) 7.26828 + 12.5890i 0.312199 + 0.540745i
\(543\) 5.12653 + 4.44381i 0.220001 + 0.190702i
\(544\) −24.0745 13.8994i −1.03219 0.595933i
\(545\) 18.6495 0.798856
\(546\) 2.83769 1.81308i 0.121442 0.0775928i
\(547\) −24.0771 −1.02946 −0.514732 0.857351i \(-0.672109\pi\)
−0.514732 + 0.857351i \(0.672109\pi\)
\(548\) −23.2477 13.4221i −0.993094 0.573363i
\(549\) 12.0960 30.1821i 0.516243 1.28814i
\(550\) 1.27993 + 2.21690i 0.0545763 + 0.0945289i
\(551\) −9.78398 + 16.9464i −0.416812 + 0.721939i
\(552\) 10.9420 + 31.6336i 0.465723 + 1.34642i
\(553\) 17.0585 + 5.05445i 0.725399 + 0.214937i
\(554\) 5.25201i 0.223137i
\(555\) −19.1696 3.69829i −0.813706 0.156984i
\(556\) −5.18446 + 2.99325i −0.219870 + 0.126942i
\(557\) 4.56402 2.63504i 0.193384 0.111650i −0.400182 0.916436i \(-0.631053\pi\)
0.593566 + 0.804786i \(0.297720\pi\)
\(558\) −1.62434 11.3271i −0.0687639 0.479513i
\(559\) 8.41855i 0.356067i
\(560\) −4.16206 + 3.94900i −0.175879 + 0.166876i
\(561\) 36.1672 12.5101i 1.52698 0.528179i
\(562\) −7.61637 + 13.1919i −0.321277 + 0.556468i
\(563\) −20.0280 34.6895i −0.844080 1.46199i −0.886418 0.462886i \(-0.846814\pi\)
0.0423382 0.999103i \(-0.486519\pi\)
\(564\) 3.62797 4.18535i 0.152765 0.176235i
\(565\) −3.21258 1.85478i −0.135154 0.0780313i
\(566\) −23.5291 −0.989003
\(567\) 11.8399 + 20.6595i 0.497230 + 0.867619i
\(568\) −38.5834 −1.61892
\(569\) 34.0119 + 19.6368i 1.42585 + 0.823217i 0.996790 0.0800571i \(-0.0255103\pi\)
0.429064 + 0.903274i \(0.358844\pi\)
\(570\) −4.32964 + 4.99482i −0.181349 + 0.209210i
\(571\) −14.4504 25.0288i −0.604730 1.04742i −0.992094 0.125496i \(-0.959948\pi\)
0.387364 0.921927i \(-0.373386\pi\)
\(572\) 3.39888 5.88704i 0.142114 0.246149i
\(573\) −35.1455 + 12.1567i −1.46822 + 0.507855i
\(574\) 2.20513 7.44218i 0.0920405 0.310631i
\(575\) 5.68687i 0.237159i
\(576\) 0.937428 + 6.53698i 0.0390595 + 0.272374i
\(577\) −39.5105 + 22.8114i −1.64484 + 0.949650i −0.665765 + 0.746162i \(0.731895\pi\)
−0.979077 + 0.203489i \(0.934772\pi\)
\(578\) −3.51291 + 2.02818i −0.146118 + 0.0843611i
\(579\) 3.03156 + 0.584862i 0.125987 + 0.0243060i
\(580\) 23.3893i 0.971188i
\(581\) 0.264454 + 1.10193i 0.0109714 + 0.0457156i
\(582\) 0.438559 + 1.26788i 0.0181788 + 0.0525555i
\(583\) 2.02754 3.51180i 0.0839722 0.145444i
\(584\) 8.86765 + 15.3592i 0.366946 + 0.635569i
\(585\) −2.30120 + 5.74201i −0.0951430 + 0.237403i
\(586\) −8.12628 4.69171i −0.335694 0.193813i
\(587\) −30.7583 −1.26953 −0.634765 0.772705i \(-0.718903\pi\)
−0.634765 + 0.772705i \(0.718903\pi\)
\(588\) 17.0099 4.90036i 0.701477 0.202087i
\(589\) 13.0736 0.538690
\(590\) 1.62732 + 0.939531i 0.0669955 + 0.0386799i
\(591\) −7.70802 6.68151i −0.317065 0.274841i
\(592\) −2.87441 4.97862i −0.118137 0.204620i
\(593\) −14.6499 + 25.3743i −0.601598 + 1.04200i 0.390981 + 0.920399i \(0.372136\pi\)
−0.992579 + 0.121600i \(0.961197\pi\)
\(594\) −14.9505 9.61975i −0.613427 0.394703i
\(595\) 6.04169 + 25.1745i 0.247685 + 1.03205i
\(596\) 23.0188i 0.942887i
\(597\) −1.35982 + 7.04843i −0.0556536 + 0.288473i
\(598\) 4.83706 2.79268i 0.197802 0.114201i
\(599\) −5.79676 + 3.34676i −0.236849 + 0.136745i −0.613728 0.789518i \(-0.710331\pi\)
0.376879 + 0.926263i \(0.376997\pi\)
\(600\) 0.624160 3.23526i 0.0254812 0.132079i
\(601\) 8.33430i 0.339963i 0.985447 + 0.169982i \(0.0543708\pi\)
−0.985447 + 0.169982i \(0.945629\pi\)
\(602\) 4.64985 15.6929i 0.189514 0.639597i
\(603\) −9.75571 + 7.66618i −0.397283 + 0.312191i
\(604\) −10.4891 + 18.1677i −0.426797 + 0.739235i
\(605\) 11.0089 + 19.0681i 0.447577 + 0.775227i
\(606\) −3.02301 2.62042i −0.122801 0.106447i
\(607\) −2.40836 1.39047i −0.0977522 0.0564372i 0.450327 0.892864i \(-0.351307\pi\)
−0.548079 + 0.836426i \(0.684641\pi\)
\(608\) −14.7541 −0.598359
\(609\) 16.3978 31.6017i 0.664471 1.28057i
\(610\) −16.4229 −0.664945
\(611\) −1.89686 1.09516i −0.0767389 0.0443052i
\(612\) −19.2939 7.73231i −0.779908 0.312560i
\(613\) −15.1361 26.2166i −0.611343 1.05888i −0.991014 0.133756i \(-0.957296\pi\)
0.379671 0.925122i \(-0.376037\pi\)
\(614\) 3.27649 5.67504i 0.132228 0.229026i
\(615\) 4.66109 + 13.4753i 0.187953 + 0.543378i
\(616\) −22.7208 + 21.5577i −0.915447 + 0.868585i
\(617\) 5.44826i 0.219339i −0.993968 0.109669i \(-0.965021\pi\)
0.993968 0.109669i \(-0.0349792\pi\)
\(618\) 17.3141 + 3.34032i 0.696477 + 0.134368i
\(619\) 20.2706 11.7032i 0.814743 0.470392i −0.0338575 0.999427i \(-0.510779\pi\)
0.848600 + 0.529035i \(0.177446\pi\)
\(620\) 13.5331 7.81336i 0.543504 0.313792i
\(621\) 18.0783 + 35.1144i 0.725456 + 1.40909i
\(622\) 14.0403i 0.562966i
\(623\) −10.0114 2.96639i −0.401098 0.118846i
\(624\) −1.72146 + 0.595449i −0.0689135 + 0.0238370i
\(625\) 10.3496 17.9261i 0.413985 0.717043i
\(626\) −4.33254 7.50417i −0.173163 0.299927i
\(627\) 13.3040 15.3480i 0.531311 0.612939i
\(628\) 10.2162 + 5.89830i 0.407669 + 0.235368i
\(629\) −25.9410 −1.03434
\(630\) 7.46116 9.43261i 0.297260 0.375804i
\(631\) −10.9370 −0.435395 −0.217697 0.976016i \(-0.569855\pi\)
−0.217697 + 0.976016i \(0.569855\pi\)
\(632\) 14.8069 + 8.54877i 0.588987 + 0.340052i
\(633\) 5.88159 6.78520i 0.233772 0.269687i
\(634\) 2.84238 + 4.92314i 0.112885 + 0.195523i
\(635\) 22.4547 38.8927i 0.891088 1.54341i
\(636\) −2.08146 + 0.719971i −0.0825351 + 0.0285487i
\(637\) −3.17692 6.23756i −0.125874 0.247141i
\(638\) 26.5812i 1.05236i
\(639\) −45.0643 + 6.46238i −1.78271 + 0.255648i
\(640\) −18.0327 + 10.4112i −0.712807 + 0.411539i
\(641\) 0.779616 0.450111i 0.0307930 0.0177783i −0.484524 0.874778i \(-0.661007\pi\)
0.515317 + 0.856999i \(0.327674\pi\)
\(642\) 6.65132 + 1.28320i 0.262507 + 0.0506440i
\(643\) 29.8005i 1.17522i −0.809145 0.587609i \(-0.800069\pi\)
0.809145 0.587609i \(-0.199931\pi\)
\(644\) 28.5499 6.85177i 1.12502 0.269998i
\(645\) 9.82861 + 28.4148i 0.387001 + 1.11883i
\(646\) −4.39156 + 7.60640i −0.172783 + 0.299270i
\(647\) −20.1220 34.8522i −0.791076 1.37018i −0.925301 0.379232i \(-0.876188\pi\)
0.134226 0.990951i \(-0.457145\pi\)
\(648\) 6.43075 + 21.9608i 0.252624 + 0.862700i
\(649\) −5.00038 2.88697i −0.196282 0.113323i
\(650\) −0.549801 −0.0215650
\(651\) −23.7627 + 1.06897i −0.931333 + 0.0418963i
\(652\) 9.57581 0.375018
\(653\) 27.1070 + 15.6502i 1.06078 + 0.612441i 0.925648 0.378387i \(-0.123521\pi\)
0.135131 + 0.990828i \(0.456854\pi\)
\(654\) −8.69844 7.54003i −0.340136 0.294839i
\(655\) −19.5127 33.7969i −0.762423 1.32055i
\(656\) −2.09932 + 3.63613i −0.0819648 + 0.141967i
\(657\) 12.9297 + 16.4538i 0.504435 + 0.641926i
\(658\) 2.93104 + 3.08917i 0.114264 + 0.120429i
\(659\) 18.7698i 0.731167i −0.930779 0.365583i \(-0.880870\pi\)
0.930779 0.365583i \(-0.119130\pi\)
\(660\) 4.59902 23.8384i 0.179017 0.927910i
\(661\) 30.2517 17.4659i 1.17666 0.679343i 0.221418 0.975179i \(-0.428932\pi\)
0.955239 + 0.295836i \(0.0955982\pi\)
\(662\) 9.88060 5.70457i 0.384020 0.221714i
\(663\) −1.55703 + 8.07068i −0.0604701 + 0.313439i
\(664\) 1.08901i 0.0422619i
\(665\) 9.45764 + 9.96789i 0.366751 + 0.386538i
\(666\) 7.44582 + 9.47528i 0.288520 + 0.367160i
\(667\) 29.5259 51.1403i 1.14325 1.98016i
\(668\) 12.3600 + 21.4082i 0.478225 + 0.828309i
\(669\) 24.5139 + 21.2493i 0.947761 + 0.821544i
\(670\) 5.42712 + 3.13335i 0.209668 + 0.121052i
\(671\) 50.4640 1.94814
\(672\) 26.8172 1.20638i 1.03449 0.0465370i
\(673\) 41.4021 1.59593 0.797967 0.602701i \(-0.205909\pi\)
0.797967 + 0.602701i \(0.205909\pi\)
\(674\) −14.6590 8.46336i −0.564642 0.325996i
\(675\) 0.187123 3.88322i 0.00720238 0.149465i
\(676\) 0.730006 + 1.26441i 0.0280772 + 0.0486311i
\(677\) 20.5028 35.5118i 0.787986 1.36483i −0.139214 0.990262i \(-0.544457\pi\)
0.927199 0.374569i \(-0.122209\pi\)
\(678\) 0.748508 + 2.16396i 0.0287463 + 0.0831062i
\(679\) 2.71179 0.650811i 0.104069 0.0249758i
\(680\) 24.8795i 0.954084i
\(681\) −11.9491 2.30528i −0.457891 0.0883383i
\(682\) 15.3800 8.87965i 0.588931 0.340019i
\(683\) −22.4638 + 12.9695i −0.859552 + 0.496263i −0.863862 0.503728i \(-0.831961\pi\)
0.00431004 + 0.999991i \(0.498628\pi\)
\(684\) −10.9202 + 1.56599i −0.417543 + 0.0598772i
\(685\) 37.9123i 1.44855i
\(686\) 2.47685 + 13.3821i 0.0945665 + 0.510931i
\(687\) −21.3854 + 7.39715i −0.815902 + 0.282219i
\(688\) −4.42673 + 7.66733i −0.168768 + 0.292314i
\(689\) 0.435472 + 0.754260i 0.0165902 + 0.0287350i
\(690\) 13.0659 15.0733i 0.497410 0.573829i
\(691\) 13.0873 + 7.55597i 0.497865 + 0.287443i 0.727832 0.685756i \(-0.240528\pi\)
−0.229966 + 0.973199i \(0.573862\pi\)
\(692\) −29.4581 −1.11983
\(693\) −22.9265 + 28.9843i −0.870905 + 1.10102i
\(694\) 0.571334 0.0216875
\(695\) 7.32206 + 4.22739i 0.277742 + 0.160354i
\(696\) 22.4102 25.8531i 0.849455 0.979960i
\(697\) 9.47300 + 16.4077i 0.358816 + 0.621487i
\(698\) −1.44391 + 2.50093i −0.0546528 + 0.0946614i
\(699\) 6.68979 2.31398i 0.253031 0.0875229i
\(700\) −2.77106 0.821071i −0.104736 0.0310336i
\(701\) 36.3652i 1.37349i −0.726896 0.686747i \(-0.759038\pi\)
0.726896 0.686747i \(-0.240962\pi\)
\(702\) 3.39483 1.74779i 0.128130 0.0659662i
\(703\) −11.9235 + 6.88404i −0.449704 + 0.259637i
\(704\) −8.87598 + 5.12455i −0.334526 + 0.193139i
\(705\) −7.68100 1.48185i −0.289283 0.0558098i
\(706\) 8.97579i 0.337808i
\(707\) −6.03286 + 5.72404i −0.226889 + 0.215275i
\(708\) 1.02515 + 2.96374i 0.0385275 + 0.111384i
\(709\) 5.76936 9.99282i 0.216673 0.375288i −0.737116 0.675766i \(-0.763813\pi\)
0.953789 + 0.300478i \(0.0971462\pi\)
\(710\) 11.4969 + 19.9132i 0.431470 + 0.747328i
\(711\) 18.7259 + 7.50468i 0.702274 + 0.281447i
\(712\) −8.68998 5.01716i −0.325671 0.188026i
\(713\) −39.4533 −1.47754
\(714\) 7.36016 14.1845i 0.275447 0.530841i
\(715\) −9.60055 −0.359040
\(716\) 8.14432 + 4.70213i 0.304368 + 0.175727i
\(717\) 7.27089 + 6.30260i 0.271536 + 0.235375i
\(718\) −5.82644 10.0917i −0.217441 0.376618i
\(719\) −8.60057 + 14.8966i −0.320747 + 0.555550i −0.980642 0.195807i \(-0.937267\pi\)
0.659895 + 0.751357i \(0.270601\pi\)
\(720\) −5.11519 + 4.01959i −0.190632 + 0.149801i
\(721\) 10.4134 35.1447i 0.387817 1.30886i
\(722\) 9.30032i 0.346122i
\(723\) −0.330388 + 1.71253i −0.0122873 + 0.0636895i
\(724\) 4.95269 2.85944i 0.184065 0.106270i
\(725\) −5.03406 + 2.90642i −0.186960 + 0.107942i
\(726\) 2.57450 13.3446i 0.0955488 0.495265i
\(727\) 15.2492i 0.565563i −0.959184 0.282781i \(-0.908743\pi\)
0.959184 0.282781i \(-0.0912571\pi\)
\(728\) −1.56984 6.54122i −0.0581823 0.242434i
\(729\) 11.1892 + 24.5724i 0.414413 + 0.910089i
\(730\) 5.28467 9.15331i 0.195594 0.338779i
\(731\) 19.9752 + 34.5981i 0.738811 + 1.27966i
\(732\) −20.7109 17.9527i −0.765496 0.663552i
\(733\) −32.7659 18.9174i −1.21024 0.698730i −0.247425 0.968907i \(-0.579584\pi\)
−0.962811 + 0.270177i \(0.912918\pi\)
\(734\) −24.9005 −0.919095
\(735\) −18.0052 17.3444i −0.664134 0.639756i
\(736\) 44.5247 1.64120
\(737\) −16.6763 9.62809i −0.614281 0.354655i
\(738\) 3.27410 8.16962i 0.120521 0.300728i
\(739\) −8.24744 14.2850i −0.303387 0.525482i 0.673514 0.739175i \(-0.264784\pi\)
−0.976901 + 0.213693i \(0.931451\pi\)
\(740\) −8.22840 + 14.2520i −0.302482 + 0.523914i
\(741\) 1.42607 + 4.12280i 0.0523879 + 0.151455i
\(742\) −0.395156 1.64654i −0.0145066 0.0604462i
\(743\) 26.5033i 0.972313i −0.873872 0.486157i \(-0.838398\pi\)
0.873872 0.486157i \(-0.161602\pi\)
\(744\) −22.4450 4.33019i −0.822873 0.158752i
\(745\) −28.1542 + 16.2548i −1.03149 + 0.595531i
\(746\) −6.06438 + 3.50127i −0.222033 + 0.128191i
\(747\) 0.182400 + 1.27193i 0.00667367 + 0.0465376i
\(748\) 32.2590i 1.17951i
\(749\) 4.00038 13.5010i 0.146171 0.493317i
\(750\) −14.2571 + 4.93149i −0.520595 + 0.180073i
\(751\) −9.61311 + 16.6504i −0.350787 + 0.607582i −0.986388 0.164437i \(-0.947419\pi\)
0.635600 + 0.772018i \(0.280753\pi\)
\(752\) −1.15173 1.99486i −0.0419994 0.0727451i
\(753\) 14.3743 16.5827i 0.523830 0.604308i
\(754\) −4.94420 2.85454i −0.180057 0.103956i
\(755\) 29.6279 1.07827
\(756\) 19.7205 3.73924i 0.717227 0.135995i
\(757\) 22.7314 0.826188 0.413094 0.910688i \(-0.364448\pi\)
0.413094 + 0.910688i \(0.364448\pi\)
\(758\) −10.3076 5.95111i −0.374390 0.216154i
\(759\) −40.1486 + 46.3167i −1.45730 + 1.68119i
\(760\) 6.60234 + 11.4356i 0.239492 + 0.414813i
\(761\) −5.34960 + 9.26578i −0.193923 + 0.335884i −0.946547 0.322566i \(-0.895455\pi\)
0.752624 + 0.658451i \(0.228788\pi\)
\(762\) −26.1977 + 9.06173i −0.949042 + 0.328272i
\(763\) −17.3590 + 16.4704i −0.628438 + 0.596268i
\(764\) 31.3477i 1.13412i
\(765\) 4.16709 + 29.0585i 0.150661 + 1.05061i
\(766\) −6.22136 + 3.59190i −0.224787 + 0.129781i
\(767\) 1.07397 0.620058i 0.0387789 0.0223890i
\(768\) 20.1075 + 3.87922i 0.725566 + 0.139979i
\(769\) 26.1381i 0.942564i 0.881983 + 0.471282i \(0.156209\pi\)
−0.881983 + 0.471282i \(0.843791\pi\)
\(770\) 17.8963 + 5.30271i 0.644938 + 0.191096i
\(771\) 0.213747 + 0.617949i 0.00769791 + 0.0222549i
\(772\) 1.30127 2.25386i 0.0468337 0.0811183i
\(773\) 10.3464 + 17.9205i 0.372134 + 0.644555i 0.989894 0.141812i \(-0.0452929\pi\)
−0.617760 + 0.786367i \(0.711960\pi\)
\(774\) 6.90394 17.2269i 0.248157 0.619207i
\(775\) 3.36333 + 1.94182i 0.120814 + 0.0697522i
\(776\) 2.68001