Properties

Label 483.2.r.a.412.17
Level $483$
Weight $2$
Character 483.412
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 412.17
Character \(\chi\) \(=\) 483.412
Dual form 483.2.r.a.34.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +O(q^{10})\) \(q+(0.0475988 + 0.0305899i) q^{2} +(-0.989821 + 0.142315i) q^{3} +(-0.829500 - 1.81635i) q^{4} +(1.34994 + 0.396378i) q^{5} +(-0.0514677 - 0.0235045i) q^{6} +(-1.67496 + 2.04805i) q^{7} +(0.0321834 - 0.223840i) q^{8} +(0.959493 - 0.281733i) q^{9} +(0.0521303 + 0.0601616i) q^{10} +(-2.64854 - 4.12121i) q^{11} +(1.07955 + 1.67981i) q^{12} +(5.25957 - 4.55745i) q^{13} +(-0.142376 + 0.0462480i) q^{14} +(-1.39261 - 0.200227i) q^{15} +(-2.60687 + 3.00849i) q^{16} +(-2.10466 + 4.60856i) q^{17} +(0.0542889 + 0.0159407i) q^{18} +(-2.25637 - 4.94077i) q^{19} +(-0.399813 - 2.78076i) q^{20} +(1.36644 - 2.26558i) q^{21} -0.277184i q^{22} +(-2.49928 - 4.09311i) q^{23} +0.226142i q^{24} +(-2.54105 - 1.63303i) q^{25} +(0.389762 - 0.0560393i) q^{26} +(-0.909632 + 0.415415i) q^{27} +(5.10936 + 1.34346i) q^{28} +(2.06655 - 4.52510i) q^{29} +(-0.0601616 - 0.0521303i) q^{30} +(-6.92521 - 0.995695i) q^{31} +(-0.650077 + 0.190880i) q^{32} +(3.20809 + 3.70234i) q^{33} +(-0.241155 + 0.154981i) q^{34} +(-3.07289 + 2.10083i) q^{35} +(-1.30763 - 1.50908i) q^{36} +(-1.69673 - 5.77852i) q^{37} +(0.0437369 - 0.304197i) q^{38} +(-4.55745 + 5.25957i) q^{39} +(0.132171 - 0.289414i) q^{40} +(-1.55515 + 5.29634i) q^{41} +(0.134345 - 0.0660395i) q^{42} +(4.87023 - 0.700234i) q^{43} +(-5.28861 + 8.22923i) q^{44} +1.40693 q^{45} +(0.00624494 - 0.271280i) q^{46} -1.42033i q^{47} +(2.15218 - 3.34886i) q^{48} +(-1.38903 - 6.86080i) q^{49} +(-0.0709966 - 0.155461i) q^{50} +(1.42737 - 4.86117i) q^{51} +(-12.6407 - 5.77284i) q^{52} +(9.48338 + 8.21740i) q^{53} +(-0.0560049 - 0.00805229i) q^{54} +(-1.94181 - 6.61321i) q^{55} +(0.404531 + 0.440837i) q^{56} +(2.93655 + 4.56936i) q^{57} +(0.236788 - 0.152174i) q^{58} +(4.73297 - 4.10114i) q^{59} +(0.791486 + 2.69556i) q^{60} +(0.654784 - 4.55412i) q^{61} +(-0.299174 - 0.259236i) q^{62} +(-1.03011 + 2.43698i) q^{63} +(7.60232 + 2.23224i) q^{64} +(8.90657 - 4.06750i) q^{65} +(0.0394474 + 0.274362i) q^{66} +(2.14755 - 3.34165i) q^{67} +10.1166 q^{68} +(3.05636 + 3.69577i) q^{69} +(-0.210530 + 0.00599740i) q^{70} +(4.34704 + 2.79367i) q^{71} +(-0.0321834 - 0.223840i) q^{72} +(-2.71362 + 1.23927i) q^{73} +(0.0960023 - 0.326954i) q^{74} +(2.74759 + 1.25478i) q^{75} +(-7.10251 + 8.19673i) q^{76} +(12.8767 + 1.47851i) q^{77} +(-0.377819 + 0.110938i) q^{78} +(-3.80573 + 3.29769i) q^{79} +(-4.71161 + 3.02797i) q^{80} +(0.841254 - 0.540641i) q^{81} +(-0.236038 + 0.204528i) q^{82} +(-2.35211 + 0.690642i) q^{83} +(-5.24855 - 0.602643i) q^{84} +(-4.66789 + 5.38703i) q^{85} +(0.253238 + 0.115650i) q^{86} +(-1.40152 + 4.77314i) q^{87} +(-1.00773 + 0.460216i) q^{88} +(2.06738 + 14.3789i) q^{89} +(0.0669682 + 0.0430378i) q^{90} +(0.524318 + 18.4054i) q^{91} +(-5.36138 + 7.93482i) q^{92} +6.99642 q^{93} +(0.0434477 - 0.0676059i) q^{94} +(-1.08755 - 7.56411i) q^{95} +(0.616295 - 0.281453i) q^{96} +(-7.20245 - 2.11483i) q^{97} +(0.143755 - 0.369056i) q^{98} +(-3.70234 - 3.20809i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 320 q + 4 q^{2} - 36 q^{4} + 12 q^{8} + 32 q^{9} - 4 q^{18} + 52 q^{23} - 68 q^{25} - 88 q^{28} + 24 q^{32} + 28 q^{35} + 14 q^{36} - 44 q^{37} + 110 q^{42} - 44 q^{43} - 154 q^{44} + 40 q^{46} - 16 q^{49} - 166 q^{50} - 44 q^{51} + 110 q^{56} - 44 q^{57} - 62 q^{58} - 84 q^{64} + 72 q^{70} - 40 q^{71} - 12 q^{72} + 22 q^{74} + 72 q^{77} - 8 q^{78} - 88 q^{79} - 32 q^{81} - 304 q^{85} + 330 q^{88} - 412 q^{92} + 24 q^{93} + 148 q^{95} - 60 q^{98} + 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{13}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0475988 + 0.0305899i 0.0336575 + 0.0216303i 0.557361 0.830270i \(-0.311814\pi\)
−0.523704 + 0.851900i \(0.675450\pi\)
\(3\) −0.989821 + 0.142315i −0.571474 + 0.0821655i
\(4\) −0.829500 1.81635i −0.414750 0.908176i
\(5\) 1.34994 + 0.396378i 0.603711 + 0.177265i 0.569283 0.822142i \(-0.307221\pi\)
0.0344279 + 0.999407i \(0.489039\pi\)
\(6\) −0.0514677 0.0235045i −0.0210116 0.00959568i
\(7\) −1.67496 + 2.04805i −0.633075 + 0.774091i
\(8\) 0.0321834 0.223840i 0.0113785 0.0791395i
\(9\) 0.959493 0.281733i 0.319831 0.0939109i
\(10\) 0.0521303 + 0.0601616i 0.0164851 + 0.0190248i
\(11\) −2.64854 4.12121i −0.798566 1.24259i −0.966467 0.256789i \(-0.917335\pi\)
0.167902 0.985804i \(-0.446301\pi\)
\(12\) 1.07955 + 1.67981i 0.311639 + 0.484920i
\(13\) 5.25957 4.55745i 1.45874 1.26401i 0.557869 0.829929i \(-0.311619\pi\)
0.900875 0.434079i \(-0.142926\pi\)
\(14\) −0.142376 + 0.0462480i −0.0380515 + 0.0123603i
\(15\) −1.39261 0.200227i −0.359570 0.0516984i
\(16\) −2.60687 + 3.00849i −0.651718 + 0.752122i
\(17\) −2.10466 + 4.60856i −0.510455 + 1.11774i 0.462474 + 0.886633i \(0.346962\pi\)
−0.972928 + 0.231107i \(0.925765\pi\)
\(18\) 0.0542889 + 0.0159407i 0.0127960 + 0.00375725i
\(19\) −2.25637 4.94077i −0.517647 1.13349i −0.970323 0.241814i \(-0.922258\pi\)
0.452675 0.891675i \(-0.350470\pi\)
\(20\) −0.399813 2.78076i −0.0894008 0.621797i
\(21\) 1.36644 2.26558i 0.298182 0.494389i
\(22\) 0.277184i 0.0590958i
\(23\) −2.49928 4.09311i −0.521137 0.853473i
\(24\) 0.226142i 0.0461611i
\(25\) −2.54105 1.63303i −0.508210 0.326607i
\(26\) 0.389762 0.0560393i 0.0764385 0.0109902i
\(27\) −0.909632 + 0.415415i −0.175059 + 0.0799467i
\(28\) 5.10936 + 1.34346i 0.965578 + 0.253889i
\(29\) 2.06655 4.52510i 0.383748 0.840290i −0.614915 0.788593i \(-0.710810\pi\)
0.998663 0.0516971i \(-0.0164630\pi\)
\(30\) −0.0601616 0.0521303i −0.0109840 0.00951765i
\(31\) −6.92521 0.995695i −1.24380 0.178832i −0.511185 0.859471i \(-0.670793\pi\)
−0.732619 + 0.680639i \(0.761702\pi\)
\(32\) −0.650077 + 0.190880i −0.114919 + 0.0337431i
\(33\) 3.20809 + 3.70234i 0.558458 + 0.644494i
\(34\) −0.241155 + 0.154981i −0.0413577 + 0.0265790i
\(35\) −3.07289 + 2.10083i −0.519414 + 0.355105i
\(36\) −1.30763 1.50908i −0.217938 0.251513i
\(37\) −1.69673 5.77852i −0.278940 0.949983i −0.973143 0.230203i \(-0.926061\pi\)
0.694202 0.719780i \(-0.255757\pi\)
\(38\) 0.0437369 0.304197i 0.00709507 0.0493473i
\(39\) −4.55745 + 5.25957i −0.729776 + 0.842206i
\(40\) 0.132171 0.289414i 0.0208981 0.0457604i
\(41\) −1.55515 + 5.29634i −0.242873 + 0.827150i 0.744348 + 0.667792i \(0.232760\pi\)
−0.987221 + 0.159358i \(0.949058\pi\)
\(42\) 0.134345 0.0660395i 0.0207299 0.0101901i
\(43\) 4.87023 0.700234i 0.742704 0.106785i 0.239432 0.970913i \(-0.423039\pi\)
0.503271 + 0.864128i \(0.332130\pi\)
\(44\) −5.28861 + 8.22923i −0.797288 + 1.24060i
\(45\) 1.40693 0.209733
\(46\) 0.00624494 0.271280i 0.000920766 0.0399981i
\(47\) 1.42033i 0.207176i −0.994620 0.103588i \(-0.966968\pi\)
0.994620 0.103588i \(-0.0330323\pi\)
\(48\) 2.15218 3.34886i 0.310641 0.483367i
\(49\) −1.38903 6.86080i −0.198433 0.980115i
\(50\) −0.0709966 0.155461i −0.0100404 0.0219855i
\(51\) 1.42737 4.86117i 0.199872 0.680701i
\(52\) −12.6407 5.77284i −1.75296 0.800548i
\(53\) 9.48338 + 8.21740i 1.30264 + 1.12875i 0.983474 + 0.181049i \(0.0579491\pi\)
0.319169 + 0.947698i \(0.396596\pi\)
\(54\) −0.0560049 0.00805229i −0.00762131 0.00109578i
\(55\) −1.94181 6.61321i −0.261834 0.891725i
\(56\) 0.404531 + 0.440837i 0.0540577 + 0.0589093i
\(57\) 2.93655 + 4.56936i 0.388956 + 0.605227i
\(58\) 0.236788 0.152174i 0.0310917 0.0199814i
\(59\) 4.73297 4.10114i 0.616181 0.533924i −0.289885 0.957062i \(-0.593617\pi\)
0.906065 + 0.423138i \(0.139071\pi\)
\(60\) 0.791486 + 2.69556i 0.102180 + 0.347995i
\(61\) 0.654784 4.55412i 0.0838365 0.583096i −0.903992 0.427549i \(-0.859377\pi\)
0.987829 0.155547i \(-0.0497139\pi\)
\(62\) −0.299174 0.259236i −0.0379951 0.0329229i
\(63\) −1.03011 + 2.43698i −0.129781 + 0.307031i
\(64\) 7.60232 + 2.23224i 0.950290 + 0.279030i
\(65\) 8.90657 4.06750i 1.10472 0.504511i
\(66\) 0.0394474 + 0.274362i 0.00485563 + 0.0337717i
\(67\) 2.14755 3.34165i 0.262364 0.408247i −0.684931 0.728608i \(-0.740168\pi\)
0.947296 + 0.320361i \(0.103804\pi\)
\(68\) 10.1166 1.22682
\(69\) 3.05636 + 3.69577i 0.367942 + 0.444918i
\(70\) −0.210530 + 0.00599740i −0.0251632 + 0.000716827i
\(71\) 4.34704 + 2.79367i 0.515899 + 0.331548i 0.772548 0.634957i \(-0.218982\pi\)
−0.256649 + 0.966505i \(0.582618\pi\)
\(72\) −0.0321834 0.223840i −0.00379285 0.0263798i
\(73\) −2.71362 + 1.23927i −0.317605 + 0.145045i −0.567838 0.823140i \(-0.692220\pi\)
0.250233 + 0.968186i \(0.419493\pi\)
\(74\) 0.0960023 0.326954i 0.0111600 0.0380076i
\(75\) 2.74759 + 1.25478i 0.317264 + 0.144890i
\(76\) −7.10251 + 8.19673i −0.814714 + 0.940230i
\(77\) 12.8767 + 1.47851i 1.46743 + 0.168492i
\(78\) −0.377819 + 0.110938i −0.0427796 + 0.0125612i
\(79\) −3.80573 + 3.29769i −0.428178 + 0.371019i −0.842125 0.539283i \(-0.818695\pi\)
0.413947 + 0.910301i \(0.364150\pi\)
\(80\) −4.71161 + 3.02797i −0.526774 + 0.338537i
\(81\) 0.841254 0.540641i 0.0934726 0.0600712i
\(82\) −0.236038 + 0.204528i −0.0260660 + 0.0225863i
\(83\) −2.35211 + 0.690642i −0.258178 + 0.0758078i −0.408260 0.912866i \(-0.633864\pi\)
0.150082 + 0.988674i \(0.452046\pi\)
\(84\) −5.24855 0.602643i −0.572664 0.0657537i
\(85\) −4.66789 + 5.38703i −0.506304 + 0.584306i
\(86\) 0.253238 + 0.115650i 0.0273073 + 0.0124708i
\(87\) −1.40152 + 4.77314i −0.150259 + 0.511735i
\(88\) −1.00773 + 0.460216i −0.107425 + 0.0490592i
\(89\) 2.06738 + 14.3789i 0.219141 + 1.52416i 0.741218 + 0.671264i \(0.234248\pi\)
−0.522077 + 0.852898i \(0.674843\pi\)
\(90\) 0.0669682 + 0.0430378i 0.00705907 + 0.00453659i
\(91\) 0.524318 + 18.4054i 0.0549634 + 1.92941i
\(92\) −5.36138 + 7.93482i −0.558962 + 0.827262i
\(93\) 6.99642 0.725495
\(94\) 0.0434477 0.0676059i 0.00448128 0.00697301i
\(95\) −1.08755 7.56411i −0.111581 0.776061i
\(96\) 0.616295 0.281453i 0.0629004 0.0287256i
\(97\) −7.20245 2.11483i −0.731298 0.214728i −0.105176 0.994454i \(-0.533541\pi\)
−0.626122 + 0.779725i \(0.715359\pi\)
\(98\) 0.143755 0.369056i 0.0145215 0.0372803i
\(99\) −3.70234 3.20809i −0.372099 0.322426i
\(100\) −0.858362 + 5.97004i −0.0858362 + 0.597004i
\(101\) 0.0261068 + 0.0889116i 0.00259772 + 0.00884704i 0.960782 0.277306i \(-0.0894416\pi\)
−0.958184 + 0.286153i \(0.907623\pi\)
\(102\) 0.216644 0.187723i 0.0214510 0.0185874i
\(103\) 2.21636 1.42437i 0.218384 0.140347i −0.426875 0.904311i \(-0.640386\pi\)
0.645259 + 0.763963i \(0.276749\pi\)
\(104\) −0.850870 1.32398i −0.0834347 0.129827i
\(105\) 2.74264 2.51676i 0.267654 0.245611i
\(106\) 0.200028 + 0.681234i 0.0194285 + 0.0661673i
\(107\) 14.7823 + 2.12538i 1.42906 + 0.205468i 0.813016 0.582242i \(-0.197824\pi\)
0.616047 + 0.787710i \(0.288733\pi\)
\(108\) 1.50908 + 1.30763i 0.145211 + 0.125826i
\(109\) 3.27957 + 1.49773i 0.314126 + 0.143457i 0.566239 0.824241i \(-0.308398\pi\)
−0.252112 + 0.967698i \(0.581125\pi\)
\(110\) 0.109869 0.374181i 0.0104756 0.0356768i
\(111\) 2.50183 + 5.47824i 0.237463 + 0.519971i
\(112\) −1.79514 10.3781i −0.169625 0.980638i
\(113\) −6.71818 + 10.4537i −0.631993 + 0.983400i 0.366600 + 0.930379i \(0.380522\pi\)
−0.998593 + 0.0530219i \(0.983115\pi\)
\(114\) 0.307325i 0.0287836i
\(115\) −1.75146 6.51611i −0.163325 0.607631i
\(116\) −9.93338 −0.922291
\(117\) 3.76254 5.85463i 0.347847 0.541261i
\(118\) 0.350738 0.0504285i 0.0322880 0.00464232i
\(119\) −5.91335 12.0296i −0.542076 1.10275i
\(120\) −0.0896377 + 0.305278i −0.00818277 + 0.0278680i
\(121\) −5.40006 + 11.8245i −0.490914 + 1.07495i
\(122\) 0.170477 0.196741i 0.0154343 0.0178121i
\(123\) 0.785569 5.46375i 0.0708324 0.492650i
\(124\) 3.93593 + 13.4045i 0.353457 + 1.20376i
\(125\) −7.38967 8.52814i −0.660953 0.762780i
\(126\) −0.123579 + 0.0844865i −0.0110093 + 0.00752666i
\(127\) 12.1884 7.83304i 1.08155 0.695070i 0.126635 0.991949i \(-0.459582\pi\)
0.954915 + 0.296880i \(0.0959460\pi\)
\(128\) 1.18094 + 1.36288i 0.104382 + 0.120463i
\(129\) −4.72101 + 1.38621i −0.415662 + 0.122049i
\(130\) 0.548367 + 0.0788432i 0.0480950 + 0.00691501i
\(131\) 4.06816 + 3.52508i 0.355437 + 0.307988i 0.814215 0.580563i \(-0.197167\pi\)
−0.458779 + 0.888551i \(0.651713\pi\)
\(132\) 4.06364 8.89812i 0.353694 0.774482i
\(133\) 13.8983 + 3.65441i 1.20513 + 0.316878i
\(134\) 0.204441 0.0933652i 0.0176610 0.00806553i
\(135\) −1.39261 + 0.200227i −0.119857 + 0.0172328i
\(136\) 0.963847 + 0.619427i 0.0826492 + 0.0531154i
\(137\) 8.00576i 0.683978i 0.939704 + 0.341989i \(0.111101\pi\)
−0.939704 + 0.341989i \(0.888899\pi\)
\(138\) 0.0324258 + 0.269408i 0.00276027 + 0.0229335i
\(139\) 2.51221i 0.213083i 0.994308 + 0.106541i \(0.0339777\pi\)
−0.994308 + 0.106541i \(0.966022\pi\)
\(140\) 6.36481 + 3.83882i 0.537924 + 0.324439i
\(141\) 0.202133 + 1.40587i 0.0170227 + 0.118396i
\(142\) 0.121456 + 0.265951i 0.0101923 + 0.0223181i
\(143\) −32.7124 9.60524i −2.73555 0.803230i
\(144\) −1.65368 + 3.62106i −0.137807 + 0.301755i
\(145\) 4.58336 5.28948i 0.380627 0.439267i
\(146\) −0.167074 0.0240216i −0.0138272 0.00198804i
\(147\) 2.35128 + 6.59329i 0.193931 + 0.543805i
\(148\) −9.08839 + 7.87514i −0.747061 + 0.647332i
\(149\) 0.504008 + 0.784251i 0.0412899 + 0.0642484i 0.861285 0.508122i \(-0.169660\pi\)
−0.819995 + 0.572371i \(0.806024\pi\)
\(150\) 0.0923984 + 0.143775i 0.00754430 + 0.0117392i
\(151\) −0.128273 0.148035i −0.0104387 0.0120469i 0.750506 0.660863i \(-0.229810\pi\)
−0.760945 + 0.648816i \(0.775264\pi\)
\(152\) −1.17856 + 0.346057i −0.0955939 + 0.0280689i
\(153\) −0.721024 + 5.01483i −0.0582913 + 0.405425i
\(154\) 0.567686 + 0.464271i 0.0457455 + 0.0374120i
\(155\) −8.95394 4.08913i −0.719198 0.328447i
\(156\) 13.3336 + 3.91511i 1.06755 + 0.313460i
\(157\) −1.98163 4.33915i −0.158151 0.346302i 0.813925 0.580971i \(-0.197327\pi\)
−0.972075 + 0.234668i \(0.924600\pi\)
\(158\) −0.282024 + 0.0405490i −0.0224367 + 0.00322590i
\(159\) −10.5563 6.78413i −0.837170 0.538017i
\(160\) −0.953225 −0.0753590
\(161\) 12.5691 + 1.73713i 0.990584 + 0.136905i
\(162\) 0.0565808 0.00444541
\(163\) −9.63267 6.19054i −0.754489 0.484881i 0.105989 0.994367i \(-0.466199\pi\)
−0.860479 + 0.509487i \(0.829835\pi\)
\(164\) 10.9100 1.56862i 0.851929 0.122489i
\(165\) 2.86321 + 6.26955i 0.222900 + 0.488084i
\(166\) −0.133084 0.0390771i −0.0103294 0.00303297i
\(167\) 11.7877 + 5.38326i 0.912160 + 0.416570i 0.815506 0.578749i \(-0.196459\pi\)
0.0966540 + 0.995318i \(0.469186\pi\)
\(168\) −0.463151 0.378779i −0.0357329 0.0292234i
\(169\) 5.04271 35.0728i 0.387900 2.69791i
\(170\) −0.386975 + 0.113626i −0.0296796 + 0.00871472i
\(171\) −3.55695 4.10494i −0.272007 0.313912i
\(172\) −5.31173 8.26522i −0.405016 0.630217i
\(173\) −7.64426 11.8947i −0.581182 0.904337i 0.418811 0.908073i \(-0.362447\pi\)
−0.999993 + 0.00373646i \(0.998811\pi\)
\(174\) −0.212721 + 0.184324i −0.0161263 + 0.0139735i
\(175\) 7.60069 2.46894i 0.574558 0.186634i
\(176\) 19.3030 + 2.77536i 1.45502 + 0.209200i
\(177\) −4.10114 + 4.73297i −0.308261 + 0.355752i
\(178\) −0.341445 + 0.747661i −0.0255924 + 0.0560395i
\(179\) −4.46250 1.31031i −0.333543 0.0979370i 0.110673 0.993857i \(-0.464699\pi\)
−0.444216 + 0.895920i \(0.646518\pi\)
\(180\) −1.16705 2.55548i −0.0869866 0.190474i
\(181\) −1.76219 12.2563i −0.130983 0.911005i −0.944277 0.329152i \(-0.893237\pi\)
0.813294 0.581853i \(-0.197672\pi\)
\(182\) −0.538063 + 0.892115i −0.0398839 + 0.0661280i
\(183\) 4.60095i 0.340112i
\(184\) −0.996640 + 0.427711i −0.0734733 + 0.0315313i
\(185\) 8.47319i 0.622962i
\(186\) 0.333022 + 0.214020i 0.0244183 + 0.0156927i
\(187\) 24.5671 3.53222i 1.79653 0.258302i
\(188\) −2.57981 + 1.17816i −0.188152 + 0.0859262i
\(189\) 0.672804 2.55878i 0.0489393 0.186124i
\(190\) 0.179619 0.393311i 0.0130309 0.0285338i
\(191\) 3.33300 + 2.88806i 0.241167 + 0.208973i 0.767055 0.641581i \(-0.221721\pi\)
−0.525888 + 0.850554i \(0.676267\pi\)
\(192\) −7.84262 1.12760i −0.565992 0.0813774i
\(193\) 20.6045 6.05003i 1.48314 0.435491i 0.562798 0.826594i \(-0.309725\pi\)
0.920347 + 0.391104i \(0.127907\pi\)
\(194\) −0.278136 0.320986i −0.0199690 0.0230454i
\(195\) −8.23705 + 5.29363i −0.589868 + 0.379085i
\(196\) −11.3094 + 8.21400i −0.807816 + 0.586714i
\(197\) −17.0842 19.7162i −1.21720 1.40472i −0.887610 0.460596i \(-0.847636\pi\)
−0.329587 0.944125i \(-0.606910\pi\)
\(198\) −0.0780917 0.265956i −0.00554973 0.0189007i
\(199\) −1.04774 + 7.28718i −0.0742722 + 0.516574i 0.918392 + 0.395671i \(0.129488\pi\)
−0.992664 + 0.120903i \(0.961421\pi\)
\(200\) −0.447318 + 0.516233i −0.0316302 + 0.0365032i
\(201\) −1.65012 + 3.61326i −0.116391 + 0.254860i
\(202\) −0.00147715 + 0.00503069i −0.000103932 + 0.000353958i
\(203\) 5.80627 + 11.8117i 0.407520 + 0.829022i
\(204\) −10.0136 + 1.43974i −0.701093 + 0.100802i
\(205\) −4.19870 + 6.53331i −0.293250 + 0.456306i
\(206\) 0.149067 0.0103860
\(207\) −3.55121 3.22318i −0.246826 0.224027i
\(208\) 27.7041i 1.92093i
\(209\) −14.3859 + 22.3848i −0.995091 + 1.54839i
\(210\) 0.207534 0.0358979i 0.0143212 0.00247719i
\(211\) 5.24009 + 11.4742i 0.360742 + 0.789916i 0.999785 + 0.0207441i \(0.00660352\pi\)
−0.639042 + 0.769171i \(0.720669\pi\)
\(212\) 7.05922 24.0415i 0.484829 1.65118i
\(213\) −4.70038 2.14659i −0.322064 0.147082i
\(214\) 0.638607 + 0.553356i 0.0436543 + 0.0378266i
\(215\) 6.85207 + 0.985179i 0.467308 + 0.0671887i
\(216\) 0.0637116 + 0.216982i 0.00433503 + 0.0147637i
\(217\) 13.6387 12.5154i 0.925854 0.849603i
\(218\) 0.110288 + 0.171612i 0.00746968 + 0.0116230i
\(219\) 2.50963 1.61284i 0.169585 0.108986i
\(220\) −10.4012 + 9.01267i −0.701247 + 0.607634i
\(221\) 9.93366 + 33.8309i 0.668210 + 2.27571i
\(222\) −0.0484947 + 0.337288i −0.00325475 + 0.0226373i
\(223\) 9.94344 + 8.61604i 0.665862 + 0.576973i 0.920824 0.389978i \(-0.127518\pi\)
−0.254962 + 0.966951i \(0.582063\pi\)
\(224\) 0.697920 1.65111i 0.0466318 0.110319i
\(225\) −2.89820 0.850988i −0.193213 0.0567325i
\(226\) −0.639555 + 0.292075i −0.0425426 + 0.0194285i
\(227\) 0.438918 + 3.05274i 0.0291320 + 0.202618i 0.999189 0.0402586i \(-0.0128182\pi\)
−0.970057 + 0.242876i \(0.921909\pi\)
\(228\) 5.86370 9.12410i 0.388333 0.604258i
\(229\) 7.24870 0.479008 0.239504 0.970895i \(-0.423015\pi\)
0.239504 + 0.970895i \(0.423015\pi\)
\(230\) 0.115960 0.363736i 0.00764616 0.0239841i
\(231\) −12.9560 + 0.369080i −0.852443 + 0.0242837i
\(232\) −0.946393 0.608210i −0.0621337 0.0399309i
\(233\) −3.67986 25.5940i −0.241075 1.67672i −0.646753 0.762700i \(-0.723873\pi\)
0.405677 0.914016i \(-0.367036\pi\)
\(234\) 0.358185 0.163578i 0.0234153 0.0106934i
\(235\) 0.562986 1.91735i 0.0367251 0.125074i
\(236\) −11.3751 5.19484i −0.740457 0.338156i
\(237\) 3.29769 3.80573i 0.214208 0.247209i
\(238\) 0.0865156 0.753483i 0.00560797 0.0488411i
\(239\) −19.1851 + 5.63325i −1.24098 + 0.364384i −0.835383 0.549668i \(-0.814754\pi\)
−0.405596 + 0.914052i \(0.632936\pi\)
\(240\) 4.23273 3.66768i 0.273222 0.236748i
\(241\) 9.63447 6.19169i 0.620610 0.398842i −0.192212 0.981353i \(-0.561566\pi\)
0.812823 + 0.582511i \(0.197930\pi\)
\(242\) −0.618746 + 0.397644i −0.0397745 + 0.0255615i
\(243\) −0.755750 + 0.654861i −0.0484814 + 0.0420093i
\(244\) −8.81503 + 2.58833i −0.564325 + 0.165701i
\(245\) 0.844365 9.81224i 0.0539445 0.626881i
\(246\) 0.204528 0.236038i 0.0130402 0.0150492i
\(247\) −34.3848 15.7030i −2.18786 0.999160i
\(248\) −0.445754 + 1.51810i −0.0283054 + 0.0963993i
\(249\) 2.22988 1.01835i 0.141313 0.0645355i
\(250\) −0.0908649 0.631979i −0.00574680 0.0399699i
\(251\) 0.966329 + 0.621022i 0.0609942 + 0.0391986i 0.570783 0.821101i \(-0.306640\pi\)
−0.509788 + 0.860300i \(0.670276\pi\)
\(252\) 5.28089 0.150437i 0.332665 0.00947667i
\(253\) −10.2491 + 21.1409i −0.644357 + 1.32912i
\(254\) 0.819768 0.0514368
\(255\) 3.85372 5.99651i 0.241329 0.375516i
\(256\) −2.24068 15.5842i −0.140042 0.974015i
\(257\) 23.0002 10.5039i 1.43472 0.655212i 0.461929 0.886917i \(-0.347158\pi\)
0.972786 + 0.231705i \(0.0744303\pi\)
\(258\) −0.267119 0.0784331i −0.0166301 0.00488303i
\(259\) 14.6767 + 6.20380i 0.911963 + 0.385485i
\(260\) −14.7760 12.8035i −0.916369 0.794038i
\(261\) 0.707967 4.92402i 0.0438220 0.304789i
\(262\) 0.0858077 + 0.292234i 0.00530122 + 0.0180543i
\(263\) −0.295506 + 0.256057i −0.0182217 + 0.0157892i −0.663924 0.747800i \(-0.731110\pi\)
0.645702 + 0.763589i \(0.276565\pi\)
\(264\) 0.931981 0.598948i 0.0573594 0.0368627i
\(265\) 9.54479 + 14.8520i 0.586332 + 0.912350i
\(266\) 0.549754 + 0.599093i 0.0337076 + 0.0367327i
\(267\) −4.09267 13.9383i −0.250467 0.853013i
\(268\) −7.85099 1.12880i −0.479576 0.0689526i
\(269\) −20.0309 17.3569i −1.22131 1.05827i −0.996477 0.0838705i \(-0.973272\pi\)
−0.224830 0.974398i \(-0.572183\pi\)
\(270\) −0.0724115 0.0330692i −0.00440682 0.00201253i
\(271\) 1.02205 3.48078i 0.0620851 0.211442i −0.922608 0.385738i \(-0.873947\pi\)
0.984693 + 0.174296i \(0.0557649\pi\)
\(272\) −8.37823 18.3458i −0.508005 1.11237i
\(273\) −3.13834 18.1435i −0.189941 1.09809i
\(274\) −0.244895 + 0.381065i −0.0147947 + 0.0230210i
\(275\) 14.7974i 0.892315i
\(276\) 4.17756 8.61706i 0.251460 0.518686i
\(277\) −5.81937 −0.349652 −0.174826 0.984599i \(-0.555936\pi\)
−0.174826 + 0.984599i \(0.555936\pi\)
\(278\) −0.0768483 + 0.119578i −0.00460905 + 0.00717183i
\(279\) −6.92521 + 0.995695i −0.414602 + 0.0596107i
\(280\) 0.371354 + 0.755449i 0.0221926 + 0.0451467i
\(281\) −1.19587 + 4.07275i −0.0713394 + 0.242960i −0.987441 0.157985i \(-0.949500\pi\)
0.916102 + 0.400945i \(0.131318\pi\)
\(282\) −0.0333841 + 0.0731010i −0.00198799 + 0.00435310i
\(283\) 3.90487 4.50646i 0.232121 0.267881i −0.627726 0.778435i \(-0.716014\pi\)
0.859846 + 0.510553i \(0.170559\pi\)
\(284\) 1.46842 10.2131i 0.0871349 0.606037i
\(285\) 2.15297 + 7.33234i 0.127531 + 0.434330i
\(286\) −1.26325 1.45787i −0.0746975 0.0862056i
\(287\) −8.24238 12.0562i −0.486532 0.711653i
\(288\) −0.569967 + 0.366296i −0.0335857 + 0.0215842i
\(289\) −5.67659 6.55114i −0.333917 0.385361i
\(290\) 0.379967 0.111568i 0.0223124 0.00655152i
\(291\) 7.43011 + 1.06829i 0.435561 + 0.0626242i
\(292\) 4.50189 + 3.90091i 0.263453 + 0.228284i
\(293\) −8.87563 + 19.4349i −0.518520 + 1.13540i 0.451477 + 0.892283i \(0.350897\pi\)
−0.969997 + 0.243117i \(0.921830\pi\)
\(294\) −0.0897698 + 0.385758i −0.00523548 + 0.0224979i
\(295\) 8.01482 3.66025i 0.466641 0.213108i
\(296\) −1.34807 + 0.193824i −0.0783552 + 0.0112658i
\(297\) 4.12121 + 2.64854i 0.239137 + 0.153684i
\(298\) 0.0527470i 0.00305555i
\(299\) −31.7993 10.1377i −1.83900 0.586277i
\(300\) 6.03143i 0.348225i
\(301\) −6.72332 + 11.1474i −0.387526 + 0.642523i
\(302\) −0.00157727 0.0109702i −9.07619e−5 0.000631263i
\(303\) −0.0384945 0.0842912i −0.00221145 0.00484241i
\(304\) 20.7463 + 6.09167i 1.18988 + 0.349381i
\(305\) 2.68907 5.88824i 0.153976 0.337160i
\(306\) −0.187723 + 0.216644i −0.0107314 + 0.0123847i
\(307\) −14.9964 2.15615i −0.855888 0.123058i −0.299617 0.954059i \(-0.596859\pi\)
−0.556270 + 0.831001i \(0.687768\pi\)
\(308\) −7.99570 24.6150i −0.455597 1.40257i
\(309\) −1.99109 + 1.72529i −0.113269 + 0.0981483i
\(310\) −0.301111 0.468538i −0.0171020 0.0266112i
\(311\) 8.20758 + 12.7712i 0.465409 + 0.724191i 0.992043 0.125901i \(-0.0401823\pi\)
−0.526633 + 0.850092i \(0.676546\pi\)
\(312\) 1.03063 + 1.18941i 0.0583480 + 0.0673372i
\(313\) −16.7901 + 4.93001i −0.949030 + 0.278660i −0.719383 0.694614i \(-0.755575\pi\)
−0.229647 + 0.973274i \(0.573757\pi\)
\(314\) 0.0384113 0.267156i 0.00216767 0.0150765i
\(315\) −2.35655 + 2.88146i −0.132776 + 0.162352i
\(316\) 9.14661 + 4.17712i 0.514537 + 0.234981i
\(317\) 24.2862 + 7.13106i 1.36405 + 0.400521i 0.880188 0.474625i \(-0.157416\pi\)
0.483860 + 0.875146i \(0.339235\pi\)
\(318\) −0.294942 0.645833i −0.0165395 0.0362165i
\(319\) −24.1223 + 3.46826i −1.35059 + 0.194185i
\(320\) 9.37785 + 6.02678i 0.524238 + 0.336907i
\(321\) −14.9343 −0.833554
\(322\) 0.545136 + 0.467173i 0.0303792 + 0.0260345i
\(323\) 27.5187 1.53118
\(324\) −1.67981 1.07955i −0.0933230 0.0599750i
\(325\) −20.8073 + 2.99164i −1.15418 + 0.165946i
\(326\) −0.269136 0.589325i −0.0149061 0.0326397i
\(327\) −3.45934 1.01575i −0.191302 0.0561714i
\(328\) 1.13549 + 0.518559i 0.0626967 + 0.0286326i
\(329\) 2.90890 + 2.37899i 0.160373 + 0.131158i
\(330\) −0.0554996 + 0.386008i −0.00305515 + 0.0212491i
\(331\) −11.9778 + 3.51699i −0.658358 + 0.193311i −0.593813 0.804603i \(-0.702378\pi\)
−0.0645454 + 0.997915i \(0.520560\pi\)
\(332\) 3.20553 + 3.69937i 0.175926 + 0.203030i
\(333\) −3.25600 5.06643i −0.178427 0.277639i
\(334\) 0.396407 + 0.616822i 0.0216905 + 0.0337510i
\(335\) 4.22361 3.65978i 0.230760 0.199955i
\(336\) 3.25383 + 10.0170i 0.177511 + 0.546472i
\(337\) 30.0516 + 4.32076i 1.63701 + 0.235367i 0.898532 0.438907i \(-0.144634\pi\)
0.738481 + 0.674274i \(0.235543\pi\)
\(338\) 1.31290 1.51517i 0.0714124 0.0824143i
\(339\) 5.16208 11.3034i 0.280366 0.613915i
\(340\) 13.6568 + 4.00999i 0.740642 + 0.217472i
\(341\) 14.2382 + 31.1774i 0.771044 + 1.68835i
\(342\) −0.0437369 0.304197i −0.00236502 0.0164491i
\(343\) 16.3778 + 8.64675i 0.884320 + 0.466881i
\(344\) 1.11269i 0.0599923i
\(345\) 2.66097 + 6.20053i 0.143262 + 0.333825i
\(346\) 0.800011i 0.0430088i
\(347\) −25.0146 16.0759i −1.34285 0.863000i −0.345697 0.938346i \(-0.612358\pi\)
−0.997157 + 0.0753459i \(0.975994\pi\)
\(348\) 9.83227 1.41367i 0.527065 0.0757805i
\(349\) 5.00591 2.28612i 0.267960 0.122373i −0.276904 0.960898i \(-0.589308\pi\)
0.544864 + 0.838524i \(0.316581\pi\)
\(350\) 0.437308 + 0.114986i 0.0233751 + 0.00614625i
\(351\) −2.89105 + 6.33051i −0.154313 + 0.337897i
\(352\) 2.50841 + 2.17355i 0.133699 + 0.115851i
\(353\) 14.9420 + 2.14833i 0.795281 + 0.114344i 0.527966 0.849265i \(-0.322955\pi\)
0.267314 + 0.963609i \(0.413864\pi\)
\(354\) −0.339991 + 0.0998303i −0.0180703 + 0.00530592i
\(355\) 4.76089 + 5.49436i 0.252682 + 0.291610i
\(356\) 24.4023 15.6824i 1.29332 0.831166i
\(357\) 7.56515 + 11.0656i 0.400390 + 0.585653i
\(358\) −0.172327 0.198876i −0.00910779 0.0105109i
\(359\) 5.41046 + 18.4263i 0.285553 + 0.972505i 0.969932 + 0.243378i \(0.0782554\pi\)
−0.684378 + 0.729127i \(0.739926\pi\)
\(360\) 0.0452798 0.314928i 0.00238645 0.0165981i
\(361\) −6.87761 + 7.93718i −0.361979 + 0.417746i
\(362\) 0.291041 0.637292i 0.0152968 0.0334953i
\(363\) 3.66229 12.4726i 0.192221 0.654643i
\(364\) 32.9958 16.2196i 1.72945 0.850140i
\(365\) −4.15444 + 0.597318i −0.217453 + 0.0312650i
\(366\) −0.140743 + 0.219000i −0.00735674 + 0.0114473i
\(367\) −22.2547 −1.16168 −0.580842 0.814016i \(-0.697277\pi\)
−0.580842 + 0.814016i \(0.697277\pi\)
\(368\) 18.8294 + 3.15115i 0.981550 + 0.164265i
\(369\) 5.51994i 0.287357i
\(370\) 0.259194 0.403314i 0.0134749 0.0209673i
\(371\) −32.7139 + 5.65866i −1.69842 + 0.293783i
\(372\) −5.80353 12.7080i −0.300899 0.658877i
\(373\) −0.102307 + 0.348425i −0.00529724 + 0.0180408i −0.962099 0.272700i \(-0.912083\pi\)
0.956802 + 0.290740i \(0.0939016\pi\)
\(374\) 1.27742 + 0.583377i 0.0660537 + 0.0301657i
\(375\) 8.52814 + 7.38967i 0.440391 + 0.381601i
\(376\) −0.317926 0.0457109i −0.0163958 0.00235736i
\(377\) −9.75377 33.2183i −0.502345 1.71083i
\(378\) 0.110297 0.101214i 0.00567309 0.00520587i
\(379\) −13.0631 20.3266i −0.671008 1.04411i −0.995176 0.0981089i \(-0.968721\pi\)
0.324168 0.946000i \(-0.394916\pi\)
\(380\) −12.8370 + 8.24981i −0.658522 + 0.423206i
\(381\) −10.9496 + 9.48791i −0.560966 + 0.486080i
\(382\) 0.0703014 + 0.239425i 0.00359693 + 0.0122500i
\(383\) 3.64663 25.3628i 0.186334 1.29598i −0.655068 0.755570i \(-0.727360\pi\)
0.841401 0.540411i \(-0.181731\pi\)
\(384\) −1.36288 1.18094i −0.0695492 0.0602647i
\(385\) 16.7966 + 7.09992i 0.856036 + 0.361845i
\(386\) 1.16582 + 0.342316i 0.0593387 + 0.0174234i
\(387\) 4.47568 2.04397i 0.227511 0.103901i
\(388\) 2.13316 + 14.8364i 0.108295 + 0.753206i
\(389\) 15.3479 23.8817i 0.778168 1.21085i −0.195011 0.980801i \(-0.562474\pi\)
0.973178 0.230051i \(-0.0738894\pi\)
\(390\) −0.554006 −0.0280532
\(391\) 24.1235 2.90350i 1.21998 0.146836i
\(392\) −1.58043 + 0.0901169i −0.0798237 + 0.00455159i
\(393\) −4.52842 2.91024i −0.228429 0.146802i
\(394\) −0.210070 1.46107i −0.0105832 0.0736077i
\(395\) −6.44463 + 2.94317i −0.324265 + 0.148087i
\(396\) −2.75594 + 9.38587i −0.138491 + 0.471657i
\(397\) −14.1990 6.48446i −0.712627 0.325446i 0.0259052 0.999664i \(-0.491753\pi\)
−0.738532 + 0.674219i \(0.764480\pi\)
\(398\) −0.272785 + 0.314811i −0.0136735 + 0.0157800i
\(399\) −14.2769 1.63928i −0.714738 0.0820669i
\(400\) 11.5371 3.38761i 0.576857 0.169381i
\(401\) −16.9452 + 14.6831i −0.846205 + 0.733241i −0.965718 0.259592i \(-0.916412\pi\)
0.119514 + 0.992833i \(0.461867\pi\)
\(402\) −0.189073 + 0.121510i −0.00943011 + 0.00606036i
\(403\) −40.9615 + 26.3244i −2.04044 + 1.31131i
\(404\) 0.139839 0.121171i 0.00695726 0.00602850i
\(405\) 1.34994 0.396378i 0.0670790 0.0196962i
\(406\) −0.0849489 + 0.739839i −0.00421594 + 0.0367176i
\(407\) −19.3207 + 22.2972i −0.957690 + 1.10523i
\(408\) −1.04219 0.475952i −0.0515961 0.0235631i
\(409\) −1.48966 + 5.07330i −0.0736588 + 0.250859i −0.988089 0.153886i \(-0.950821\pi\)
0.914430 + 0.404744i \(0.132639\pi\)
\(410\) −0.399707 + 0.182540i −0.0197401 + 0.00901501i
\(411\) −1.13934 7.92427i −0.0561994 0.390875i
\(412\) −4.42562 2.84417i −0.218035 0.140122i
\(413\) 0.471822 + 16.5626i 0.0232168 + 0.814993i
\(414\) −0.0704365 0.262051i −0.00346177 0.0128791i
\(415\) −3.44896 −0.169303
\(416\) −2.54920 + 3.96664i −0.124985 + 0.194481i
\(417\) −0.357525 2.48664i −0.0175081 0.121771i
\(418\) −1.36950 + 0.625430i −0.0669844 + 0.0305908i
\(419\) 29.2005 + 8.57405i 1.42654 + 0.418870i 0.901712 0.432338i \(-0.142311\pi\)
0.524828 + 0.851208i \(0.324129\pi\)
\(420\) −6.84634 2.89394i −0.334067 0.141210i
\(421\) 21.5132 + 18.6413i 1.04849 + 0.908523i 0.995933 0.0900949i \(-0.0287170\pi\)
0.0525582 + 0.998618i \(0.483262\pi\)
\(422\) −0.101572 + 0.706452i −0.00494447 + 0.0343895i
\(423\) −0.400152 1.36279i −0.0194561 0.0662613i
\(424\) 2.14459 1.85830i 0.104151 0.0902471i
\(425\) 12.8740 8.27360i 0.624479 0.401328i
\(426\) −0.158068 0.245959i −0.00765844 0.0119168i
\(427\) 8.23034 + 8.96900i 0.398294 + 0.434040i
\(428\) −8.40151 28.6129i −0.406102 1.38306i
\(429\) 33.7464 + 4.85200i 1.62929 + 0.234257i
\(430\) 0.296014 + 0.256498i 0.0142751 + 0.0123694i
\(431\) 18.5975 + 8.49321i 0.895812 + 0.409103i 0.809469 0.587162i \(-0.199755\pi\)
0.0863422 + 0.996266i \(0.472482\pi\)
\(432\) 1.12152 3.81955i 0.0539592 0.183768i
\(433\) 13.8669 + 30.3643i 0.666402 + 1.45922i 0.876434 + 0.481523i \(0.159916\pi\)
−0.210031 + 0.977695i \(0.567357\pi\)
\(434\) 1.03203 0.178514i 0.0495391 0.00856897i
\(435\) −3.78394 + 5.88792i −0.181426 + 0.282304i
\(436\) 7.19923i 0.344781i
\(437\) −14.5838 + 21.5840i −0.697638 + 1.03250i
\(438\) 0.168792 0.00806520
\(439\) 18.6956 29.0909i 0.892292 1.38843i −0.0290071 0.999579i \(-0.509235\pi\)
0.921299 0.388854i \(-0.127129\pi\)
\(440\) −1.54280 + 0.221821i −0.0735500 + 0.0105749i
\(441\) −3.26567 6.19156i −0.155508 0.294836i
\(442\) −0.562055 + 1.91418i −0.0267342 + 0.0910484i
\(443\) −6.92402 + 15.1615i −0.328970 + 0.720344i −0.999773 0.0212912i \(-0.993222\pi\)
0.670803 + 0.741636i \(0.265950\pi\)
\(444\) 7.87514 9.08839i 0.373738 0.431316i
\(445\) −2.90865 + 20.2301i −0.137883 + 0.959000i
\(446\) 0.209732 + 0.714282i 0.00993111 + 0.0338223i
\(447\) −0.610488 0.704541i −0.0288751 0.0333236i
\(448\) −17.3053 + 11.8310i −0.817599 + 0.558964i
\(449\) 3.37559 2.16936i 0.159304 0.102378i −0.458560 0.888663i \(-0.651635\pi\)
0.617864 + 0.786285i \(0.287998\pi\)
\(450\) −0.111919 0.129162i −0.00527592 0.00608874i
\(451\) 25.9462 7.61850i 1.22176 0.358741i
\(452\) 24.5603 + 3.53124i 1.15522 + 0.166096i
\(453\) 0.148035 + 0.128273i 0.00695530 + 0.00602680i
\(454\) −0.0724912 + 0.158734i −0.00340218 + 0.00744973i
\(455\) −6.58770 + 25.0540i −0.308836 + 1.17455i
\(456\) 1.11732 0.510261i 0.0523231 0.0238952i
\(457\) −0.734263 + 0.105571i −0.0343474 + 0.00493840i −0.159467 0.987203i \(-0.550978\pi\)
0.125120 + 0.992142i \(0.460068\pi\)
\(458\) 0.345030 + 0.221737i 0.0161222 + 0.0103611i
\(459\) 5.06640i 0.236479i
\(460\) −10.3827 + 8.58639i −0.484097 + 0.400342i
\(461\) 27.0803i 1.26125i −0.776086 0.630627i \(-0.782798\pi\)
0.776086 0.630627i \(-0.217202\pi\)
\(462\) −0.627981 0.378755i −0.0292163 0.0176213i
\(463\) 0.730610 + 5.08151i 0.0339543 + 0.236158i 0.999730 0.0232198i \(-0.00739174\pi\)
−0.965776 + 0.259377i \(0.916483\pi\)
\(464\) 8.22651 + 18.0135i 0.381906 + 0.836257i
\(465\) 9.44474 + 2.77323i 0.437989 + 0.128605i
\(466\) 0.607760 1.33081i 0.0281540 0.0616486i
\(467\) −3.29824 + 3.80637i −0.152624 + 0.176138i −0.826913 0.562330i \(-0.809905\pi\)
0.674288 + 0.738468i \(0.264450\pi\)
\(468\) −13.7551 1.97769i −0.635830 0.0914185i
\(469\) 3.24681 + 9.99540i 0.149924 + 0.461545i
\(470\) 0.0854491 0.0740421i 0.00394147 0.00341531i
\(471\) 2.57898 + 4.01297i 0.118833 + 0.184908i
\(472\) −0.765679 1.19142i −0.0352432 0.0548395i
\(473\) −15.7848 18.2167i −0.725788 0.837604i
\(474\) 0.273383 0.0802725i 0.0125569 0.00368704i
\(475\) −2.33488 + 16.2395i −0.107132 + 0.745118i
\(476\) −16.9448 + 20.7193i −0.776666 + 0.949666i
\(477\) 11.4143 + 5.21276i 0.522627 + 0.238676i
\(478\) −1.08551 0.318734i −0.0496500 0.0145785i
\(479\) −6.05423 13.2569i −0.276625 0.605724i 0.719420 0.694575i \(-0.244408\pi\)
−0.996045 + 0.0888512i \(0.971680\pi\)
\(480\) 0.943522 0.135658i 0.0430657 0.00619191i
\(481\) −35.2594 22.6598i −1.60769 1.03320i
\(482\) 0.647993 0.0295153
\(483\) −12.6884 + 0.0693206i −0.577342 + 0.00315419i
\(484\) 25.9568 1.17985
\(485\) −8.88459 5.70978i −0.403428 0.259268i
\(486\) −0.0560049 + 0.00805229i −0.00254044 + 0.000365259i
\(487\) 10.2767 + 22.5029i 0.465683 + 1.01970i 0.986155 + 0.165825i \(0.0530285\pi\)
−0.520473 + 0.853878i \(0.674244\pi\)
\(488\) −0.998324 0.293134i −0.0451920 0.0132696i
\(489\) 10.4156 + 4.75666i 0.471011 + 0.215104i
\(490\) 0.340346 0.441222i 0.0153753 0.0199324i
\(491\) −0.509981 + 3.54699i −0.0230151 + 0.160074i −0.998088 0.0618120i \(-0.980312\pi\)
0.975073 + 0.221886i \(0.0712212\pi\)
\(492\) −10.5757 + 3.10531i −0.476791 + 0.139998i
\(493\) 16.5048 + 19.0476i 0.743340 + 0.857860i
\(494\) −1.15632 1.79928i −0.0520255 0.0809532i
\(495\) −3.72631 5.79826i −0.167485 0.260612i
\(496\) 21.0487 18.2388i 0.945113 0.818945i
\(497\) −13.0027 + 4.22368i −0.583251 + 0.189458i
\(498\) 0.137291 + 0.0197395i 0.00615216 + 0.000884547i
\(499\) −4.75481 + 5.48734i −0.212854 + 0.245647i −0.852129 0.523331i \(-0.824689\pi\)
0.639275 + 0.768978i \(0.279235\pi\)
\(500\) −9.36037 + 20.4963i −0.418608 + 0.916624i
\(501\) −12.4338 3.65091i −0.555503 0.163110i
\(502\) 0.0269991 + 0.0591199i 0.00120503 + 0.00263865i
\(503\) 1.19458 + 8.30847i 0.0532636 + 0.370456i 0.998968 + 0.0454273i \(0.0144649\pi\)
−0.945704 + 0.325029i \(0.894626\pi\)
\(504\) 0.512343 + 0.309010i 0.0228216 + 0.0137644i
\(505\) 0.130373i 0.00580154i
\(506\) −1.13454 + 0.692761i −0.0504366 + 0.0307970i
\(507\) 35.4335i 1.57365i
\(508\) −24.3379 15.6410i −1.07982 0.693957i
\(509\) −19.2051 + 2.76128i −0.851252 + 0.122392i −0.554112 0.832442i \(-0.686942\pi\)
−0.297140 + 0.954834i \(0.596033\pi\)
\(510\) 0.366865 0.167542i 0.0162451 0.00741888i
\(511\) 2.00711 7.63335i 0.0887895 0.337680i
\(512\) 1.86834 4.09110i 0.0825699 0.180803i
\(513\) 4.10494 + 3.55695i 0.181237 + 0.157043i
\(514\) 1.41610 + 0.203604i 0.0624613 + 0.00898058i
\(515\) 3.55654 1.04429i 0.156720 0.0460171i
\(516\) 6.43393 + 7.42515i 0.283238 + 0.326874i
\(517\) −5.85347 + 3.76180i −0.257435 + 0.165444i
\(518\) 0.508818 + 0.744251i 0.0223562 + 0.0327005i
\(519\) 9.25924 + 10.6857i 0.406436 + 0.469052i
\(520\) −0.623826 2.12456i −0.0273566 0.0931680i
\(521\) 2.89627 20.1440i 0.126888 0.882525i −0.822577 0.568653i \(-0.807465\pi\)
0.949465 0.313872i \(-0.101626\pi\)
\(522\) 0.184324 0.212721i 0.00806763 0.00931054i
\(523\) 7.50358 16.4306i 0.328109 0.718458i −0.671640 0.740878i \(-0.734410\pi\)
0.999749 + 0.0224197i \(0.00713701\pi\)
\(524\) 3.02825 10.3133i 0.132290 0.450537i
\(525\) −7.17196 + 3.52550i −0.313010 + 0.153865i
\(526\) −0.0218985 + 0.00314853i −0.000954821 + 0.000137283i
\(527\) 19.1639 29.8196i 0.834793 1.29896i
\(528\) −19.5015 −0.848695
\(529\) −10.5072 + 20.4597i −0.456833 + 0.889553i
\(530\) 0.998911i 0.0433899i
\(531\) 3.38583 5.26845i 0.146932 0.228631i
\(532\) −4.89092 28.2755i −0.212048 1.22590i
\(533\) 15.9584 + 34.9440i 0.691235 + 1.51359i
\(534\) 0.231567 0.788643i 0.0100209 0.0341279i
\(535\) 19.1128 + 8.72852i 0.826318 + 0.377367i
\(536\) −0.678880 0.588253i −0.0293232 0.0254087i
\(537\) 4.60355 + 0.661891i 0.198658 + 0.0285627i
\(538\) −0.422503 1.43891i −0.0182154 0.0620359i
\(539\) −24.5959 + 23.8956i −1.05942 + 1.02926i
\(540\) 1.51885 + 2.36338i 0.0653610 + 0.101704i
\(541\) −9.31254 + 5.98481i −0.400377 + 0.257307i −0.725299 0.688434i \(-0.758298\pi\)
0.324922 + 0.945741i \(0.394662\pi\)
\(542\) 0.155125 0.134417i 0.00666320 0.00577369i
\(543\) 3.48851 + 11.8808i 0.149706 + 0.509853i
\(544\) 0.488509 3.39766i 0.0209447 0.145673i
\(545\) 3.83356 + 3.32180i 0.164212 + 0.142290i
\(546\) 0.405625 0.959609i 0.0173592 0.0410675i
\(547\) −19.8510 5.82879i −0.848768 0.249221i −0.171708 0.985148i \(-0.554928\pi\)
−0.677061 + 0.735927i \(0.736747\pi\)
\(548\) 14.5413 6.64078i 0.621172 0.283680i
\(549\) −0.654784 4.55412i −0.0279455 0.194365i
\(550\) −0.452650 + 0.704337i −0.0193011 + 0.0300330i
\(551\) −27.0204 −1.15111
\(552\) 0.925626 0.565194i 0.0393972 0.0240562i
\(553\) −0.379387 13.3178i −0.0161332 0.566331i
\(554\) −0.276995 0.178014i −0.0117684 0.00756309i
\(555\) 1.20586 + 8.38695i 0.0511860 + 0.356006i
\(556\) 4.56306 2.08388i 0.193517 0.0883762i
\(557\) 2.03114 6.91744i 0.0860624 0.293102i −0.905204 0.424978i \(-0.860282\pi\)
0.991266 + 0.131876i \(0.0421001\pi\)
\(558\) −0.360090 0.164448i −0.0152438 0.00696163i
\(559\) 22.4241 25.8788i 0.948438 1.09456i
\(560\) 1.69032 14.7213i 0.0714290 0.622091i
\(561\) −23.8144 + 6.99254i −1.00544 + 0.295225i
\(562\) −0.181507 + 0.157277i −0.00765641 + 0.00663431i
\(563\) 3.27752 2.10634i 0.138131 0.0887715i −0.469750 0.882799i \(-0.655656\pi\)
0.607881 + 0.794028i \(0.292020\pi\)
\(564\) 2.38588 1.53331i 0.100464 0.0645642i
\(565\) −13.2127 + 11.4489i −0.555864 + 0.481659i
\(566\) 0.323720 0.0950527i 0.0136070 0.00399536i
\(567\) −0.301804 + 2.62848i −0.0126746 + 0.110386i
\(568\) 0.765240 0.883134i 0.0321087 0.0370555i
\(569\) 20.0707 + 9.16597i 0.841406 + 0.384257i 0.789018 0.614370i \(-0.210590\pi\)
0.0523877 + 0.998627i \(0.483317\pi\)
\(570\) −0.121817 + 0.414870i −0.00510235 + 0.0173770i
\(571\) 29.3309 13.3950i 1.22746 0.560562i 0.307116 0.951672i \(-0.400636\pi\)
0.920344 + 0.391110i \(0.127909\pi\)
\(572\) 9.68848 + 67.3848i 0.405095 + 2.81750i
\(573\) −3.71009 2.38433i −0.154991 0.0996068i
\(574\) −0.0235302 0.825993i −0.000982131 0.0344763i
\(575\) −0.333384 + 14.4822i −0.0139031 + 0.603950i
\(576\) 7.92327 0.330136
\(577\) 24.1610 37.5953i 1.00584 1.56511i 0.194191 0.980964i \(-0.437792\pi\)
0.811646 0.584149i \(-0.198572\pi\)
\(578\) −0.0698005 0.485473i −0.00290332 0.0201930i
\(579\) −19.5338 + 8.92078i −0.811796 + 0.370735i
\(580\) −13.4094 3.93737i −0.556797 0.163490i
\(581\) 2.52522 5.97404i 0.104764 0.247845i
\(582\) 0.320986 + 0.278136i 0.0133053 + 0.0115291i
\(583\) 8.74850 60.8472i 0.362326 2.52003i
\(584\) 0.190065 + 0.647301i 0.00786494 + 0.0267855i
\(585\) 7.39985 6.41200i 0.305946 0.265104i
\(586\) −1.01698 + 0.653575i −0.0420112 + 0.0269989i
\(587\) 2.34742 + 3.65266i 0.0968885 + 0.150761i 0.886314 0.463085i \(-0.153258\pi\)
−0.789425 + 0.613847i \(0.789621\pi\)
\(588\) 10.0253 9.73989i 0.413438 0.401666i
\(589\) 10.7064 + 36.4625i 0.441148 + 1.50241i
\(590\) 0.493463 + 0.0709493i 0.0203155 + 0.00292094i
\(591\) 19.7162 + 17.0842i 0.811016 + 0.702749i
\(592\) 21.8078 + 9.95928i 0.896294 + 0.409324i
\(593\) 8.50247 28.9567i 0.349154 1.18911i −0.578504 0.815680i \(-0.696363\pi\)
0.927658 0.373431i \(-0.121819\pi\)
\(594\) 0.115146 + 0.252135i 0.00472451 + 0.0103452i
\(595\) −3.21440 18.5831i −0.131777 0.761834i
\(596\) 1.00640 1.56599i 0.0412238 0.0641455i
\(597\) 7.36211i 0.301311i
\(598\) −1.20350 1.45528i −0.0492148 0.0595108i
\(599\) 11.1491 0.455542 0.227771 0.973715i \(-0.426856\pi\)
0.227771 + 0.973715i \(0.426856\pi\)
\(600\) 0.369298 0.574639i 0.0150765 0.0234595i
\(601\) −26.6897 + 3.83740i −1.08870 + 0.156531i −0.663210 0.748434i \(-0.730806\pi\)
−0.425487 + 0.904965i \(0.639897\pi\)
\(602\) −0.661019 + 0.324935i −0.0269411 + 0.0132434i
\(603\) 1.11910 3.81132i 0.0455735 0.155209i
\(604\) −0.162481 + 0.355785i −0.00661127 + 0.0144767i
\(605\) −11.9767 + 13.8219i −0.486922 + 0.561938i
\(606\) 0.000746167 0.00518971i 3.03110e−5 0.000210818i
\(607\) 8.97742 + 30.5743i 0.364382 + 1.24097i 0.914055 + 0.405591i \(0.132934\pi\)
−0.549672 + 0.835380i \(0.685247\pi\)
\(608\) 2.40991 + 2.78118i 0.0977347 + 0.112792i
\(609\) −7.42815 10.8652i −0.301004 0.440280i
\(610\) 0.308118 0.198015i 0.0124753 0.00801740i
\(611\) −6.47306 7.47031i −0.261872 0.302216i
\(612\) 9.70679 2.85017i 0.392374 0.115211i
\(613\) 15.8584 + 2.28010i 0.640516 + 0.0920922i 0.454918 0.890534i \(-0.349669\pi\)
0.185598 + 0.982626i \(0.440578\pi\)
\(614\) −0.647853 0.561368i −0.0261452 0.0226550i
\(615\) 3.22618 7.06435i 0.130092 0.284862i
\(616\) 0.745365 2.83473i 0.0300316 0.114215i
\(617\) 32.8495 15.0019i 1.32247 0.603952i 0.375964 0.926634i \(-0.377312\pi\)
0.946507 + 0.322682i \(0.104584\pi\)
\(618\) −0.147550 + 0.0212145i −0.00593533 + 0.000853372i
\(619\) 7.91770 + 5.08839i 0.318239 + 0.204520i 0.690001 0.723808i \(-0.257610\pi\)
−0.371762 + 0.928328i \(0.621246\pi\)
\(620\) 19.6554i 0.789381i
\(621\) 3.97377 + 2.68499i 0.159462 + 0.107745i
\(622\) 0.858966i 0.0344414i
\(623\) −32.9115 19.8500i −1.31857 0.795273i
\(624\) −3.94270 27.4221i −0.157834 1.09776i
\(625\) −0.321331 0.703616i −0.0128532 0.0281446i
\(626\) −0.949996 0.278944i −0.0379695 0.0111488i
\(627\) 11.0537 24.2043i 0.441444 0.966627i
\(628\) −6.23767 + 7.19866i −0.248910 + 0.287258i
\(629\) 30.2017 + 4.34235i 1.20422 + 0.173141i
\(630\) −0.200313 + 0.0650677i −0.00798065 + 0.00259236i
\(631\) −6.05999 + 5.25101i −0.241244 + 0.209039i −0.767088 0.641542i \(-0.778295\pi\)
0.525844 + 0.850581i \(0.323750\pi\)
\(632\) 0.615674 + 0.958008i 0.0244902 + 0.0381075i
\(633\) −6.81970 10.6117i −0.271059 0.421775i
\(634\) 0.937855 + 1.08234i 0.0372470 + 0.0429853i
\(635\) 19.5585 5.74289i 0.776155 0.227900i
\(636\) −3.56591 + 24.8014i −0.141397 + 0.983440i
\(637\) −38.5734 29.7545i −1.52834 1.17892i
\(638\) −1.25428 0.572813i −0.0496576 0.0226779i
\(639\) 4.95802 + 1.45581i 0.196136 + 0.0575908i
\(640\) 1.05398 + 2.30790i 0.0416624 + 0.0912279i
\(641\) −34.0581 + 4.89681i −1.34521 + 0.193412i −0.777016 0.629480i \(-0.783268\pi\)
−0.568197 + 0.822893i \(0.692359\pi\)
\(642\) −0.710858 0.456840i −0.0280553 0.0180301i
\(643\) −22.0673 −0.870251 −0.435125 0.900370i \(-0.643296\pi\)
−0.435125 + 0.900370i \(0.643296\pi\)
\(644\) −7.27083 24.2709i −0.286511 0.956406i
\(645\) −6.92254 −0.272575
\(646\) 1.30986 + 0.841795i 0.0515357 + 0.0331200i
\(647\) 47.5068 6.83045i 1.86769 0.268533i 0.886661 0.462419i \(-0.153018\pi\)
0.981024 + 0.193886i \(0.0621093\pi\)
\(648\) −0.0939429 0.205706i −0.00369042 0.00808090i
\(649\) −29.4372 8.64354i −1.15551 0.339288i
\(650\) −1.08192 0.494095i −0.0424363 0.0193800i
\(651\) −11.7187 + 14.3290i −0.459293 + 0.561599i
\(652\) −3.25390 + 22.6314i −0.127433 + 0.886313i
\(653\) 22.7833 6.68979i 0.891581 0.261792i 0.196312 0.980541i \(-0.437103\pi\)
0.695269 + 0.718750i \(0.255285\pi\)
\(654\) −0.133589 0.154170i −0.00522374 0.00602851i
\(655\) 4.09450 + 6.37117i 0.159985 + 0.248942i
\(656\) −11.8799 18.4855i −0.463833 0.721738i
\(657\) −2.25456 + 1.95358i −0.0879586 + 0.0762165i
\(658\) 0.0656873 + 0.202220i 0.00256076 + 0.00788336i
\(659\) −18.0828 2.59991i −0.704405 0.101278i −0.219202 0.975680i \(-0.570345\pi\)
−0.485203 + 0.874401i \(0.661254\pi\)
\(660\) 9.01267 10.4012i 0.350818 0.404865i
\(661\) 17.9254 39.2511i 0.697216 1.52669i −0.146098 0.989270i \(-0.546671\pi\)
0.843314 0.537421i \(-0.180601\pi\)
\(662\) −0.677713 0.198994i −0.0263400 0.00773414i
\(663\) −14.6472 32.0729i −0.568850 1.24561i
\(664\) 0.0788947 + 0.548725i 0.00306171 + 0.0212947i
\(665\) 17.3133 + 10.4422i 0.671381 + 0.404931i
\(666\) 0.340757i 0.0132041i
\(667\) −23.6866 + 2.85092i −0.917150 + 0.110388i
\(668\) 25.8760i 1.00117i
\(669\) −11.0684 7.11324i −0.427930 0.275014i
\(670\) 0.312991 0.0450013i 0.0120919 0.00173855i
\(671\) −20.5027 + 9.36329i −0.791500 + 0.361466i
\(672\) −0.455840 + 1.73363i −0.0175844 + 0.0668761i
\(673\) 13.7592 30.1284i 0.530378 1.16136i −0.434981 0.900439i \(-0.643245\pi\)
0.965359 0.260925i \(-0.0840276\pi\)
\(674\) 1.29825 + 1.12494i 0.0500066 + 0.0433310i
\(675\) 2.98981 + 0.429869i 0.115078 + 0.0165457i
\(676\) −67.8875 + 19.9336i −2.61106 + 0.766675i
\(677\) −20.4412 23.5905i −0.785621 0.906655i 0.211881 0.977295i \(-0.432041\pi\)
−0.997502 + 0.0706406i \(0.977496\pi\)
\(678\) 0.591479 0.380120i 0.0227156 0.0145984i
\(679\) 16.3951 11.2087i 0.629185 0.430152i
\(680\) 1.05561 + 1.21824i 0.0404807 + 0.0467172i
\(681\) −0.868902 2.95921i −0.0332964 0.113397i
\(682\) −0.275990 + 1.91956i −0.0105682 + 0.0735036i
\(683\) 16.6980 19.2705i 0.638931 0.737365i −0.340255 0.940333i \(-0.610513\pi\)
0.979185 + 0.202968i \(0.0650587\pi\)
\(684\) −4.50552 + 9.86572i −0.172273 + 0.377225i
\(685\) −3.17330 + 10.8073i −0.121246 + 0.412925i
\(686\) 0.515063 + 0.912572i 0.0196652 + 0.0348422i
\(687\) −7.17492 + 1.03160i −0.273740 + 0.0393579i
\(688\) −10.5894 + 16.4775i −0.403718 + 0.628198i
\(689\) 87.3289 3.32697
\(690\) −0.0630144 + 0.376537i −0.00239892 + 0.0143345i
\(691\) 20.1477i 0.766454i −0.923654 0.383227i \(-0.874813\pi\)
0.923654 0.383227i \(-0.125187\pi\)
\(692\) −15.2640 + 23.7513i −0.580252 + 0.902889i
\(693\) 12.7716 2.20915i 0.485153 0.0839188i
\(694\) −0.698905 1.53039i −0.0265301 0.0580928i
\(695\) −0.995784 + 3.39133i −0.0377722 + 0.128640i
\(696\) 1.02332 + 0.467333i 0.0387887 + 0.0177142i
\(697\) −21.1355 18.3140i −0.800562 0.693691i
\(698\) 0.308208 + 0.0443136i 0.0116658 + 0.00167729i
\(699\) 7.28480 + 24.8098i 0.275537 + 0.938391i
\(700\) −10.7892 11.7575i −0.407795 0.444393i
\(701\) −10.6646 16.5944i −0.402796 0.626762i 0.579307 0.815110i \(-0.303323\pi\)
−0.982102 + 0.188347i \(0.939687\pi\)
\(702\) −0.331260 + 0.212888i −0.0125026 + 0.00803494i
\(703\) −24.7219 + 21.4216i −0.932403 + 0.807932i
\(704\) −10.9355 37.2430i −0.412148 1.40365i
\(705\) −0.284387 + 1.97796i −0.0107107 + 0.0744942i
\(706\) 0.645503 + 0.559332i 0.0242938 + 0.0210507i
\(707\) −0.225823 0.0954552i −0.00849296 0.00358996i
\(708\) 11.9986 + 3.52312i 0.450937 + 0.132407i
\(709\) −29.7590 + 13.5905i −1.11762 + 0.510401i −0.886595 0.462546i \(-0.846936\pi\)
−0.231027 + 0.972947i \(0.574209\pi\)
\(710\) 0.0585408 + 0.407160i 0.00219700 + 0.0152804i
\(711\) −2.72251 + 4.23631i −0.102102 + 0.158874i
\(712\) 3.28512 0.123115
\(713\) 13.2326 + 30.8342i 0.495564 + 1.15475i
\(714\) 0.0215969 + 0.758126i 0.000808242 + 0.0283722i
\(715\) −40.3525 25.9330i −1.50910 0.969837i
\(716\) 1.32166 + 9.19236i 0.0493928 + 0.343535i
\(717\) 18.1881 8.30623i 0.679247 0.310202i
\(718\) −0.306128 + 1.04258i −0.0114246 + 0.0389086i
\(719\) −22.8152 10.4194i −0.850865 0.388577i −0.0582519 0.998302i \(-0.518553\pi\)
−0.792613 + 0.609725i \(0.791280\pi\)
\(720\) −3.66768 + 4.23273i −0.136686 + 0.157745i
\(721\) −0.795131 + 6.92497i −0.0296122 + 0.257899i
\(722\) −0.570164 + 0.167415i −0.0212193 + 0.00623055i
\(723\) −8.65523 + 7.49980i −0.321891 + 0.278921i
\(724\) −20.8000 + 13.3674i −0.773027 + 0.496795i
\(725\) −12.6408 + 8.12377i −0.469469 + 0.301709i
\(726\) 0.555858 0.481653i 0.0206298 0.0178758i
\(727\) −25.5636 + 7.50614i −0.948100 + 0.278387i −0.718996 0.695015i \(-0.755398\pi\)
−0.229104 + 0.973402i \(0.573580\pi\)
\(728\) 4.13675 + 0.474985i 0.153318 + 0.0176041i
\(729\) 0.654861 0.755750i 0.0242541 0.0279907i
\(730\) −0.216018 0.0986522i −0.00799519 0.00365128i
\(731\) −7.02311 + 23.9185i −0.259759 + 0.884658i
\(732\) 8.35695 3.81649i 0.308882 0.141062i
\(733\) 1.45436 + 10.1153i 0.0537179 + 0.373616i 0.998893 + 0.0470507i \(0.0149822\pi\)
−0.945175 + 0.326565i \(0.894109\pi\)
\(734\) −1.05930 0.680769i −0.0390994 0.0251276i
\(735\) 0.560656 + 9.83253i 0.0206801 + 0.362678i
\(736\) 2.40602 + 2.18378i 0.0886871 + 0.0804951i
\(737\) −19.4595 −0.716800
\(738\) −0.168854 + 0.262743i −0.00621562 + 0.00967169i
\(739\) −3.05883 21.2746i −0.112521 0.782599i −0.965453 0.260577i \(-0.916087\pi\)
0.852932 0.522022i \(-0.174822\pi\)
\(740\) −15.3903 + 7.02852i −0.565759 + 0.258373i
\(741\) 36.2696 + 10.6497i 1.33240 + 0.391227i
\(742\) −1.73024 0.731371i −0.0635192 0.0268495i
\(743\) −23.3457 20.2291i −0.856469 0.742135i 0.111350 0.993781i \(-0.464483\pi\)
−0.967819 + 0.251646i \(0.919028\pi\)
\(744\) 0.225169 1.56608i 0.00825508 0.0574154i
\(745\) 0.369520 + 1.25847i 0.0135381 + 0.0461067i
\(746\) −0.0155280 + 0.0134551i −0.000568519 + 0.000492625i
\(747\) −2.06226 + 1.32533i −0.0754541 + 0.0484914i
\(748\) −26.7942 41.6926i −0.979693 1.52443i
\(749\) −29.1127 + 26.7151i −1.06375 + 0.976147i
\(750\) 0.179880 + 0.612615i 0.00656829 + 0.0223695i
\(751\) 43.9940 + 6.32538i 1.60536 + 0.230816i 0.885955 0.463771i \(-0.153504\pi\)
0.719408 + 0.694587i \(0.244413\pi\)
\(752\) 4.27304 + 3.70261i 0.155822 + 0.135020i
\(753\) −1.04487 0.477178i −0.0380773 0.0173893i
\(754\) 0.551876 1.87952i 0.0200982 0.0684480i
\(755\) −0.114483 0.250683i −0.00416647 0.00912329i
\(756\) −5.20573 + 0.900455i −0.189331 + 0.0327492i
\(757\) 25.2396 39.2735i 0.917348 1.42742i 0.0133369 0.999911i \(-0.495755\pi\)
0.904011 0.427510i \(-0.140609\pi\)
\(758\) 1.36712i 0.0496562i
\(759\) 7.13615 22.3843i 0.259026 0.812498i
\(760\) −1.72815 −0.0626867
\(761\) −22.9561 + 35.7204i −0.832159 + 1.29486i 0.121079 + 0.992643i \(0.461365\pi\)
−0.953238 + 0.302221i \(0.902272\pi\)
\(762\) −0.811424 + 0.116665i −0.0293948 + 0.00422633i
\(763\) −8.56058 + 4.20810i −0.309914 + 0.152343i
\(764\) 2.48101 8.44955i 0.0897598 0.305694i
\(765\) −2.96110 + 6.48391i −0.107059 + 0.234426i
\(766\) 0.949422 1.09569i 0.0343040 0.0395890i
\(767\) 6.20268 43.1406i 0.223966 1.55772i
\(768\) 4.43574 + 15.1067i 0.160061 + 0.545118i
\(769\) −22.5177 25.9868i −0.812009 0.937109i 0.186966 0.982366i \(-0.440135\pi\)
−0.998975 + 0.0452576i \(0.985589\pi\)
\(770\) 0.582315 + 0.851756i 0.0209852 + 0.0306951i
\(771\) −21.2713 + 13.6702i −0.766066 + 0.492321i
\(772\) −28.0804 32.4065i −1.01064 1.16634i