Properties

Label 585.2.bt.b.376.9
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.9
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.71224 - 0.988562i) q^{2} +(-1.13208 - 1.31087i) q^{3} +(0.954509 + 1.65326i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.642514 + 3.36366i) q^{6} +(-3.18919 - 1.84128i) q^{7} +0.179881i q^{8} +(-0.436783 + 2.96803i) q^{9} +O(q^{10})\) \(q+(-1.71224 - 0.988562i) q^{2} +(-1.13208 - 1.31087i) q^{3} +(0.954509 + 1.65326i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(0.642514 + 3.36366i) q^{6} +(-3.18919 - 1.84128i) q^{7} +0.179881i q^{8} +(-0.436783 + 2.96803i) q^{9} +1.97712 q^{10} +(1.59587 + 0.921379i) q^{11} +(1.08663 - 3.12287i) q^{12} +(-3.58458 + 0.388332i) q^{13} +(3.64043 + 6.30542i) q^{14} +(1.63585 + 0.569210i) q^{15} +(2.08684 - 3.61452i) q^{16} +0.179874 q^{17} +(3.68196 - 4.65020i) q^{18} +0.475894i q^{19} +(-1.65326 - 0.954509i) q^{20} +(1.19674 + 6.26510i) q^{21} +(-1.82168 - 3.15524i) q^{22} +(3.15723 + 5.46848i) q^{23} +(0.235801 - 0.203640i) q^{24} +(0.500000 - 0.866025i) q^{25} +(6.52155 + 2.87866i) q^{26} +(4.38519 - 2.78749i) q^{27} -7.03007i q^{28} +(-0.00188512 + 0.00326513i) q^{29} +(-2.23827 - 2.59176i) q^{30} +(-1.31356 + 0.758387i) q^{31} +(-6.83478 + 3.94606i) q^{32} +(-0.598848 - 3.13507i) q^{33} +(-0.307988 - 0.177817i) q^{34} +3.68256 q^{35} +(-5.32384 + 2.11090i) q^{36} -5.39633i q^{37} +(0.470451 - 0.814844i) q^{38} +(4.56709 + 4.25931i) q^{39} +(-0.0899405 - 0.155782i) q^{40} +(1.53334 - 0.885273i) q^{41} +(4.14434 - 11.9104i) q^{42} +(1.10082 - 1.90667i) q^{43} +3.51786i q^{44} +(-1.10575 - 2.78878i) q^{45} -12.4845i q^{46} +(7.86397 + 4.54027i) q^{47} +(-7.10065 + 1.35634i) q^{48} +(3.28061 + 5.68218i) q^{49} +(-1.71224 + 0.988562i) q^{50} +(-0.203632 - 0.235792i) q^{51} +(-4.06353 - 5.55557i) q^{52} -9.08755 q^{53} +(-10.2641 + 0.437811i) q^{54} -1.84276 q^{55} +(0.331211 - 0.573674i) q^{56} +(0.623837 - 0.538751i) q^{57} +(0.00645557 - 0.00372713i) q^{58} +(3.80390 - 2.19618i) q^{59} +(0.620382 + 3.24780i) q^{60} +(3.04023 - 5.26583i) q^{61} +2.99885 q^{62} +(6.85796 - 8.66137i) q^{63} +7.25635 q^{64} +(2.91017 - 2.12859i) q^{65} +(-2.07384 + 5.95998i) q^{66} +(10.1270 - 5.84681i) q^{67} +(0.171692 + 0.297378i) q^{68} +(3.59425 - 10.3295i) q^{69} +(-6.30542 - 3.64043i) q^{70} -12.0988i q^{71} +(-0.533893 - 0.0785690i) q^{72} -4.31020i q^{73} +(-5.33460 + 9.23980i) q^{74} +(-1.70129 + 0.324974i) q^{75} +(-0.786776 + 0.454245i) q^{76} +(-3.39303 - 5.87690i) q^{77} +(-3.60936 - 11.8078i) q^{78} +(-5.42831 + 9.40211i) q^{79} +4.17368i q^{80} +(-8.61844 - 2.59277i) q^{81} -3.50059 q^{82} +(15.1698 + 8.75827i) q^{83} +(-9.21554 + 7.95861i) q^{84} +(-0.155776 + 0.0899371i) q^{85} +(-3.76973 + 2.17645i) q^{86} +(0.00641429 - 0.00122523i) q^{87} +(-0.165739 + 0.287068i) q^{88} +2.06569i q^{89} +(-0.863575 + 5.86817i) q^{90} +(12.1469 + 5.36174i) q^{91} +(-6.02721 + 10.4394i) q^{92} +(2.48121 + 0.863362i) q^{93} +(-8.97667 - 15.5480i) q^{94} +(-0.237947 - 0.412136i) q^{95} +(12.9103 + 4.49228i) q^{96} +(9.54063 + 5.50829i) q^{97} -12.9723i q^{98} +(-3.43173 + 4.33417i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.71224 0.988562i −1.21074 0.699019i −0.247816 0.968807i \(-0.579713\pi\)
−0.962920 + 0.269788i \(0.913046\pi\)
\(3\) −1.13208 1.31087i −0.653608 0.756834i
\(4\) 0.954509 + 1.65326i 0.477255 + 0.826629i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 0.642514 + 3.36366i 0.262305 + 1.37321i
\(7\) −3.18919 1.84128i −1.20540 0.695938i −0.243648 0.969864i \(-0.578344\pi\)
−0.961751 + 0.273926i \(0.911678\pi\)
\(8\) 0.179881i 0.0635976i
\(9\) −0.436783 + 2.96803i −0.145594 + 0.989344i
\(10\) 1.97712 0.625221
\(11\) 1.59587 + 0.921379i 0.481174 + 0.277806i 0.720906 0.693033i \(-0.243726\pi\)
−0.239731 + 0.970839i \(0.577059\pi\)
\(12\) 1.08663 3.12287i 0.313684 0.901494i
\(13\) −3.58458 + 0.388332i −0.994183 + 0.107704i
\(14\) 3.64043 + 6.30542i 0.972947 + 1.68519i
\(15\) 1.63585 + 0.569210i 0.422374 + 0.146969i
\(16\) 2.08684 3.61452i 0.521711 0.903629i
\(17\) 0.179874 0.0436259 0.0218129 0.999762i \(-0.493056\pi\)
0.0218129 + 0.999762i \(0.493056\pi\)
\(18\) 3.68196 4.65020i 0.867847 1.09606i
\(19\) 0.475894i 0.109178i 0.998509 + 0.0545888i \(0.0173848\pi\)
−0.998509 + 0.0545888i \(0.982615\pi\)
\(20\) −1.65326 0.954509i −0.369680 0.213435i
\(21\) 1.19674 + 6.26510i 0.261149 + 1.36716i
\(22\) −1.82168 3.15524i −0.388383 0.672700i
\(23\) 3.15723 + 5.46848i 0.658328 + 1.14026i 0.981048 + 0.193763i \(0.0620694\pi\)
−0.322720 + 0.946494i \(0.604597\pi\)
\(24\) 0.235801 0.203640i 0.0481328 0.0415678i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 6.52155 + 2.87866i 1.27898 + 0.564552i
\(27\) 4.38519 2.78749i 0.843931 0.536452i
\(28\) 7.03007i 1.32856i
\(29\) −0.00188512 + 0.00326513i −0.000350059 + 0.000606320i −0.866200 0.499697i \(-0.833445\pi\)
0.865850 + 0.500303i \(0.166778\pi\)
\(30\) −2.23827 2.59176i −0.408649 0.473189i
\(31\) −1.31356 + 0.758387i −0.235923 + 0.136210i −0.613302 0.789849i \(-0.710159\pi\)
0.377378 + 0.926059i \(0.376826\pi\)
\(32\) −6.83478 + 3.94606i −1.20823 + 0.697572i
\(33\) −0.598848 3.13507i −0.104246 0.545745i
\(34\) −0.307988 0.177817i −0.0528194 0.0304953i
\(35\) 3.68256 0.622465
\(36\) −5.32384 + 2.11090i −0.887307 + 0.351817i
\(37\) 5.39633i 0.887151i −0.896237 0.443575i \(-0.853710\pi\)
0.896237 0.443575i \(-0.146290\pi\)
\(38\) 0.470451 0.814844i 0.0763172 0.132185i
\(39\) 4.56709 + 4.25931i 0.731319 + 0.682035i
\(40\) −0.0899405 0.155782i −0.0142208 0.0246312i
\(41\) 1.53334 0.885273i 0.239467 0.138256i −0.375465 0.926837i \(-0.622517\pi\)
0.614932 + 0.788580i \(0.289184\pi\)
\(42\) 4.14434 11.9104i 0.639486 1.83781i
\(43\) 1.10082 1.90667i 0.167873 0.290765i −0.769799 0.638287i \(-0.779643\pi\)
0.937672 + 0.347522i \(0.112977\pi\)
\(44\) 3.51786i 0.530337i
\(45\) −1.10575 2.78878i −0.164836 0.415727i
\(46\) 12.4845i 1.84074i
\(47\) 7.86397 + 4.54027i 1.14708 + 0.662266i 0.948173 0.317753i \(-0.102928\pi\)
0.198904 + 0.980019i \(0.436262\pi\)
\(48\) −7.10065 + 1.35634i −1.02489 + 0.195771i
\(49\) 3.28061 + 5.68218i 0.468658 + 0.811740i
\(50\) −1.71224 + 0.988562i −0.242147 + 0.139804i
\(51\) −0.203632 0.235792i −0.0285142 0.0330175i
\(52\) −4.06353 5.55557i −0.563510 0.770419i
\(53\) −9.08755 −1.24827 −0.624135 0.781316i \(-0.714549\pi\)
−0.624135 + 0.781316i \(0.714549\pi\)
\(54\) −10.2641 + 0.437811i −1.39677 + 0.0595785i
\(55\) −1.84276 −0.248477
\(56\) 0.331211 0.573674i 0.0442599 0.0766605i
\(57\) 0.623837 0.538751i 0.0826292 0.0713593i
\(58\) 0.00645557 0.00372713i 0.000847658 0.000489396i
\(59\) 3.80390 2.19618i 0.495226 0.285919i −0.231514 0.972832i \(-0.574368\pi\)
0.726740 + 0.686913i \(0.241035\pi\)
\(60\) 0.620382 + 3.24780i 0.0800909 + 0.419289i
\(61\) 3.04023 5.26583i 0.389262 0.674221i −0.603089 0.797674i \(-0.706064\pi\)
0.992350 + 0.123453i \(0.0393968\pi\)
\(62\) 2.99885 0.380854
\(63\) 6.85796 8.66137i 0.864021 1.09123i
\(64\) 7.25635 0.907044
\(65\) 2.91017 2.12859i 0.360962 0.264020i
\(66\) −2.07384 + 5.95998i −0.255272 + 0.733623i
\(67\) 10.1270 5.84681i 1.23721 0.714301i 0.268684 0.963228i \(-0.413411\pi\)
0.968522 + 0.248927i \(0.0800780\pi\)
\(68\) 0.171692 + 0.297378i 0.0208207 + 0.0360624i
\(69\) 3.59425 10.3295i 0.432697 1.24353i
\(70\) −6.30542 3.64043i −0.753641 0.435115i
\(71\) 12.0988i 1.43586i −0.696115 0.717930i \(-0.745090\pi\)
0.696115 0.717930i \(-0.254910\pi\)
\(72\) −0.533893 0.0785690i −0.0629199 0.00925945i
\(73\) 4.31020i 0.504471i −0.967666 0.252235i \(-0.918834\pi\)
0.967666 0.252235i \(-0.0811657\pi\)
\(74\) −5.33460 + 9.23980i −0.620135 + 1.07411i
\(75\) −1.70129 + 0.324974i −0.196448 + 0.0375248i
\(76\) −0.786776 + 0.454245i −0.0902494 + 0.0521055i
\(77\) −3.39303 5.87690i −0.386671 0.669735i
\(78\) −3.60936 11.8078i −0.408680 1.33697i
\(79\) −5.42831 + 9.40211i −0.610732 + 1.05782i 0.380385 + 0.924828i \(0.375792\pi\)
−0.991117 + 0.132991i \(0.957542\pi\)
\(80\) 4.17368i 0.466632i
\(81\) −8.61844 2.59277i −0.957605 0.288086i
\(82\) −3.50059 −0.386575
\(83\) 15.1698 + 8.75827i 1.66510 + 0.961345i 0.970222 + 0.242216i \(0.0778744\pi\)
0.694877 + 0.719129i \(0.255459\pi\)
\(84\) −9.21554 + 7.95861i −1.00550 + 0.868355i
\(85\) −0.155776 + 0.0899371i −0.0168962 + 0.00975504i
\(86\) −3.76973 + 2.17645i −0.406500 + 0.234693i
\(87\) 0.00641429 0.00122523i 0.000687684 0.000131359i
\(88\) −0.165739 + 0.287068i −0.0176678 + 0.0306015i
\(89\) 2.06569i 0.218963i 0.993989 + 0.109481i \(0.0349190\pi\)
−0.993989 + 0.109481i \(0.965081\pi\)
\(90\) −0.863575 + 5.86817i −0.0910288 + 0.618559i
\(91\) 12.1469 + 5.36174i 1.27334 + 0.562063i
\(92\) −6.02721 + 10.4394i −0.628380 + 1.08839i
\(93\) 2.48121 + 0.863362i 0.257290 + 0.0895265i
\(94\) −8.97667 15.5480i −0.925872 1.60366i
\(95\) −0.237947 0.412136i −0.0244128 0.0422843i
\(96\) 12.9103 + 4.49228i 1.31765 + 0.458491i
\(97\) 9.54063 + 5.50829i 0.968705 + 0.559282i 0.898841 0.438275i \(-0.144410\pi\)
0.0698636 + 0.997557i \(0.477744\pi\)
\(98\) 12.9723i 1.31040i
\(99\) −3.43173 + 4.33417i −0.344902 + 0.435600i
\(100\) 1.90902 0.190902
\(101\) −2.14975 + 3.72348i −0.213908 + 0.370500i −0.952934 0.303177i \(-0.901953\pi\)
0.739026 + 0.673677i \(0.235286\pi\)
\(102\) 0.115572 + 0.605036i 0.0114433 + 0.0599075i
\(103\) 8.61522 + 14.9220i 0.848883 + 1.47031i 0.882206 + 0.470864i \(0.156058\pi\)
−0.0333232 + 0.999445i \(0.510609\pi\)
\(104\) −0.0698536 0.644798i −0.00684971 0.0632276i
\(105\) −4.16895 4.82737i −0.406848 0.471103i
\(106\) 15.5601 + 8.98361i 1.51133 + 0.872565i
\(107\) −8.40204 −0.812256 −0.406128 0.913816i \(-0.633121\pi\)
−0.406128 + 0.913816i \(0.633121\pi\)
\(108\) 8.79415 + 4.58918i 0.846217 + 0.441594i
\(109\) 17.0795i 1.63592i 0.575278 + 0.817958i \(0.304894\pi\)
−0.575278 + 0.817958i \(0.695106\pi\)
\(110\) 3.15524 + 1.82168i 0.300841 + 0.173690i
\(111\) −7.07391 + 6.10908i −0.671426 + 0.579848i
\(112\) −13.3107 + 7.68491i −1.25774 + 0.726156i
\(113\) 2.24214 + 3.88350i 0.210923 + 0.365329i 0.952004 0.306087i \(-0.0990199\pi\)
−0.741081 + 0.671416i \(0.765687\pi\)
\(114\) −1.60075 + 0.305768i −0.149924 + 0.0286378i
\(115\) −5.46848 3.15723i −0.509939 0.294413i
\(116\) −0.00719748 −0.000668269
\(117\) 0.413101 10.8088i 0.0381912 0.999270i
\(118\) −8.68426 −0.799451
\(119\) −0.573652 0.331198i −0.0525866 0.0303609i
\(120\) −0.102390 + 0.294258i −0.00934689 + 0.0268620i
\(121\) −3.80212 6.58547i −0.345647 0.598679i
\(122\) −10.4112 + 6.01091i −0.942586 + 0.544203i
\(123\) −2.89634 1.00781i −0.261155 0.0908714i
\(124\) −2.50762 1.44777i −0.225191 0.130014i
\(125\) 1.00000i 0.0894427i
\(126\) −20.3048 + 8.05083i −1.80889 + 0.717225i
\(127\) 6.28102 0.557350 0.278675 0.960385i \(-0.410105\pi\)
0.278675 + 0.960385i \(0.410105\pi\)
\(128\) 1.24496 + 0.718780i 0.110040 + 0.0635318i
\(129\) −3.74563 + 0.715475i −0.329784 + 0.0629941i
\(130\) −7.08715 + 0.767781i −0.621585 + 0.0673388i
\(131\) 10.3974 + 18.0088i 0.908423 + 1.57343i 0.816255 + 0.577691i \(0.196046\pi\)
0.0921678 + 0.995743i \(0.470620\pi\)
\(132\) 4.61147 3.98250i 0.401377 0.346632i
\(133\) 0.876253 1.51771i 0.0759808 0.131603i
\(134\) −23.1197 −1.99724
\(135\) −2.40394 + 4.60663i −0.206899 + 0.396476i
\(136\) 0.0323559i 0.00277450i
\(137\) 6.19634 + 3.57746i 0.529389 + 0.305643i 0.740768 0.671761i \(-0.234462\pi\)
−0.211379 + 0.977404i \(0.567795\pi\)
\(138\) −16.3656 + 14.1334i −1.39313 + 1.20312i
\(139\) 8.25510 + 14.2982i 0.700188 + 1.21276i 0.968400 + 0.249402i \(0.0802340\pi\)
−0.268212 + 0.963360i \(0.586433\pi\)
\(140\) 3.51503 + 6.08822i 0.297075 + 0.514548i
\(141\) −2.95094 15.4486i −0.248514 1.30101i
\(142\) −11.9604 + 20.7160i −1.00369 + 1.73845i
\(143\) −6.07834 2.68302i −0.508296 0.224366i
\(144\) 9.81651 + 7.77258i 0.818042 + 0.647715i
\(145\) 0.00377025i 0.000313102i
\(146\) −4.26090 + 7.38010i −0.352635 + 0.610781i
\(147\) 3.73471 10.7332i 0.308034 0.885256i
\(148\) 8.92153 5.15085i 0.733345 0.423397i
\(149\) −14.4350 + 8.33407i −1.18256 + 0.682753i −0.956606 0.291384i \(-0.905884\pi\)
−0.225957 + 0.974137i \(0.572551\pi\)
\(150\) 3.23428 + 1.12540i 0.264077 + 0.0918884i
\(151\) −8.26158 4.76983i −0.672318 0.388163i 0.124636 0.992202i \(-0.460224\pi\)
−0.796954 + 0.604040i \(0.793557\pi\)
\(152\) −0.0856043 −0.00694343
\(153\) −0.0785660 + 0.533872i −0.00635169 + 0.0431610i
\(154\) 13.4169i 1.08116i
\(155\) 0.758387 1.31356i 0.0609151 0.105508i
\(156\) −2.68241 + 11.6161i −0.214765 + 0.930035i
\(157\) 4.32832 + 7.49686i 0.345437 + 0.598315i 0.985433 0.170064i \(-0.0543973\pi\)
−0.639996 + 0.768378i \(0.721064\pi\)
\(158\) 18.5891 10.7324i 1.47887 0.853827i
\(159\) 10.2878 + 11.9126i 0.815879 + 0.944733i
\(160\) 3.94606 6.83478i 0.311964 0.540337i
\(161\) 23.2534i 1.83262i
\(162\) 12.1937 + 12.9593i 0.958029 + 1.01818i
\(163\) 3.30102i 0.258555i 0.991608 + 0.129278i \(0.0412659\pi\)
−0.991608 + 0.129278i \(0.958734\pi\)
\(164\) 2.92717 + 1.69000i 0.228574 + 0.131967i
\(165\) 2.08615 + 2.41562i 0.162407 + 0.188056i
\(166\) −17.3162 29.9925i −1.34400 2.32787i
\(167\) −8.05426 + 4.65013i −0.623257 + 0.359838i −0.778136 0.628096i \(-0.783835\pi\)
0.154879 + 0.987933i \(0.450501\pi\)
\(168\) −1.12697 + 0.215270i −0.0869478 + 0.0166084i
\(169\) 12.6984 2.78401i 0.976800 0.214155i
\(170\) 0.355633 0.0272758
\(171\) −1.41247 0.207863i −0.108014 0.0158956i
\(172\) 4.20297 0.320473
\(173\) 7.33343 12.7019i 0.557550 0.965705i −0.440150 0.897924i \(-0.645075\pi\)
0.997700 0.0677809i \(-0.0215919\pi\)
\(174\) −0.0121940 0.00424303i −0.000924427 0.000321663i
\(175\) −3.18919 + 1.84128i −0.241080 + 0.139188i
\(176\) 6.66068 3.84554i 0.502068 0.289869i
\(177\) −7.18525 2.50018i −0.540076 0.187925i
\(178\) 2.04206 3.53696i 0.153059 0.265106i
\(179\) −3.91870 −0.292897 −0.146449 0.989218i \(-0.546784\pi\)
−0.146449 + 0.989218i \(0.546784\pi\)
\(180\) 3.55513 4.49001i 0.264984 0.334666i
\(181\) 18.4224 1.36933 0.684664 0.728858i \(-0.259949\pi\)
0.684664 + 0.728858i \(0.259949\pi\)
\(182\) −15.4980 21.1886i −1.14879 1.57060i
\(183\) −10.3446 + 1.97599i −0.764698 + 0.146070i
\(184\) −0.983677 + 0.567926i −0.0725176 + 0.0418681i
\(185\) 2.69816 + 4.67336i 0.198373 + 0.343592i
\(186\) −3.39494 3.93111i −0.248929 0.288243i
\(187\) 0.287057 + 0.165732i 0.0209917 + 0.0121195i
\(188\) 17.3349i 1.26428i
\(189\) −19.1177 + 0.815458i −1.39061 + 0.0593159i
\(190\) 0.940901i 0.0682601i
\(191\) 0.300236 0.520024i 0.0217243 0.0376276i −0.854959 0.518696i \(-0.826418\pi\)
0.876683 + 0.481068i \(0.159751\pi\)
\(192\) −8.21478 9.51216i −0.592850 0.686481i
\(193\) 0.779254 0.449902i 0.0560919 0.0323847i −0.471692 0.881763i \(-0.656356\pi\)
0.527784 + 0.849379i \(0.323023\pi\)
\(194\) −10.8906 18.8630i −0.781897 1.35429i
\(195\) −6.08487 1.40512i −0.435746 0.100623i
\(196\) −6.26274 + 10.8474i −0.447339 + 0.774813i
\(197\) 1.36267i 0.0970863i 0.998821 + 0.0485432i \(0.0154578\pi\)
−0.998821 + 0.0485432i \(0.984542\pi\)
\(198\) 10.1605 4.02865i 0.722078 0.286304i
\(199\) 25.1448 1.78247 0.891235 0.453542i \(-0.149840\pi\)
0.891235 + 0.453542i \(0.149840\pi\)
\(200\) 0.155782 + 0.0899405i 0.0110154 + 0.00635976i
\(201\) −19.1290 6.65612i −1.34925 0.469486i
\(202\) 7.36179 4.25033i 0.517973 0.299052i
\(203\) 0.0120240 0.00694208i 0.000843921 0.000487238i
\(204\) 0.195457 0.561723i 0.0136847 0.0393285i
\(205\) −0.885273 + 1.53334i −0.0618301 + 0.107093i
\(206\) 34.0667i 2.37354i
\(207\) −17.6097 + 6.98222i −1.22396 + 0.485298i
\(208\) −6.07682 + 13.7669i −0.421351 + 0.954563i
\(209\) −0.438479 + 0.759467i −0.0303302 + 0.0525334i
\(210\) 2.36609 + 12.3869i 0.163276 + 0.854776i
\(211\) −11.5692 20.0385i −0.796458 1.37951i −0.921909 0.387405i \(-0.873371\pi\)
0.125452 0.992100i \(-0.459962\pi\)
\(212\) −8.67415 15.0241i −0.595743 1.03186i
\(213\) −15.8600 + 13.6968i −1.08671 + 0.938490i
\(214\) 14.3863 + 8.30594i 0.983428 + 0.567782i
\(215\) 2.20164i 0.150150i
\(216\) 0.501416 + 0.788813i 0.0341170 + 0.0536719i
\(217\) 5.58560 0.379175
\(218\) 16.8841 29.2441i 1.14354 1.98066i
\(219\) −5.65013 + 4.87950i −0.381801 + 0.329726i
\(220\) −1.75893 3.04656i −0.118587 0.205399i
\(221\) −0.644773 + 0.0698509i −0.0433721 + 0.00469868i
\(222\) 18.1514 3.46722i 1.21824 0.232704i
\(223\) −3.91964 2.26301i −0.262479 0.151542i 0.362986 0.931795i \(-0.381757\pi\)
−0.625465 + 0.780252i \(0.715091\pi\)
\(224\) 29.0632 1.94187
\(225\) 2.35200 + 1.86228i 0.156800 + 0.124152i
\(226\) 8.86597i 0.589756i
\(227\) 20.0281 + 11.5632i 1.32931 + 0.767478i 0.985193 0.171448i \(-0.0548446\pi\)
0.344118 + 0.938926i \(0.388178\pi\)
\(228\) 1.48615 + 0.517122i 0.0984229 + 0.0342472i
\(229\) −6.05063 + 3.49333i −0.399837 + 0.230846i −0.686413 0.727211i \(-0.740816\pi\)
0.286577 + 0.958057i \(0.407483\pi\)
\(230\) 6.24224 + 10.8119i 0.411601 + 0.712914i
\(231\) −3.86269 + 11.1010i −0.254146 + 0.730390i
\(232\) −0.000587335 0 0.000339098i −3.85605e−5 0 2.22629e-5i
\(233\) −22.6754 −1.48552 −0.742758 0.669559i \(-0.766483\pi\)
−0.742758 + 0.669559i \(0.766483\pi\)
\(234\) −11.3925 + 18.0988i −0.744748 + 1.18316i
\(235\) −9.08053 −0.592348
\(236\) 7.26172 + 4.19256i 0.472698 + 0.272912i
\(237\) 18.4703 3.52812i 1.19977 0.229176i
\(238\) 0.654820 + 1.13418i 0.0424457 + 0.0735181i
\(239\) 22.3254 12.8896i 1.44411 0.833756i 0.445987 0.895039i \(-0.352853\pi\)
0.998120 + 0.0612833i \(0.0195193\pi\)
\(240\) 5.47118 4.72495i 0.353163 0.304994i
\(241\) −5.14460 2.97024i −0.331393 0.191330i 0.325067 0.945691i \(-0.394613\pi\)
−0.656459 + 0.754361i \(0.727947\pi\)
\(242\) 15.0345i 0.966456i
\(243\) 6.35797 + 14.2329i 0.407864 + 0.913043i
\(244\) 11.6077 0.743108
\(245\) −5.68218 3.28061i −0.363021 0.209590i
\(246\) 3.96295 + 4.58883i 0.252669 + 0.292573i
\(247\) −0.184805 1.70588i −0.0117589 0.108542i
\(248\) −0.136419 0.236285i −0.00866264 0.0150041i
\(249\) −5.69242 29.8007i −0.360743 1.88855i
\(250\) 0.988562 1.71224i 0.0625221 0.108292i
\(251\) 20.7925 1.31241 0.656206 0.754582i \(-0.272160\pi\)
0.656206 + 0.754582i \(0.272160\pi\)
\(252\) 20.8655 + 3.07062i 1.31440 + 0.193431i
\(253\) 11.6360i 0.731551i
\(254\) −10.7546 6.20918i −0.674804 0.389598i
\(255\) 0.294247 + 0.102386i 0.0184264 + 0.00641167i
\(256\) −8.67747 15.0298i −0.542342 0.939363i
\(257\) 2.10977 + 3.65423i 0.131604 + 0.227945i 0.924295 0.381679i \(-0.124654\pi\)
−0.792691 + 0.609624i \(0.791321\pi\)
\(258\) 7.12070 + 2.47772i 0.443315 + 0.154256i
\(259\) −9.93614 + 17.2099i −0.617402 + 1.06937i
\(260\) 6.29690 + 2.77950i 0.390517 + 0.172377i
\(261\) −0.00886763 0.00702127i −0.000548892 0.000434606i
\(262\) 41.1138i 2.54002i
\(263\) −15.4548 + 26.7685i −0.952985 + 1.65062i −0.214072 + 0.976818i \(0.568673\pi\)
−0.738913 + 0.673801i \(0.764661\pi\)
\(264\) 0.563939 0.107721i 0.0347081 0.00662980i
\(265\) 7.87005 4.54377i 0.483453 0.279122i
\(266\) −3.00071 + 1.73246i −0.183985 + 0.106224i
\(267\) 2.70786 2.33853i 0.165718 0.143116i
\(268\) 19.3326 + 11.1617i 1.18092 + 0.681807i
\(269\) 1.86363 0.113628 0.0568138 0.998385i \(-0.481906\pi\)
0.0568138 + 0.998385i \(0.481906\pi\)
\(270\) 8.67007 5.51121i 0.527644 0.335401i
\(271\) 5.61519i 0.341098i 0.985349 + 0.170549i \(0.0545542\pi\)
−0.985349 + 0.170549i \(0.945446\pi\)
\(272\) 0.375369 0.650158i 0.0227601 0.0394216i
\(273\) −6.72273 21.9930i −0.406878 1.33108i
\(274\) −7.07308 12.2509i −0.427300 0.740106i
\(275\) 1.59587 0.921379i 0.0962349 0.0555612i
\(276\) 20.5081 3.91738i 1.23444 0.235798i
\(277\) 0.341185 0.590950i 0.0204998 0.0355067i −0.855593 0.517648i \(-0.826808\pi\)
0.876093 + 0.482142i \(0.160141\pi\)
\(278\) 32.6427i 1.95778i
\(279\) −1.67717 4.22995i −0.100410 0.253241i
\(280\) 0.662422i 0.0395873i
\(281\) 22.9981 + 13.2780i 1.37195 + 0.792097i 0.991174 0.132569i \(-0.0423227\pi\)
0.380778 + 0.924666i \(0.375656\pi\)
\(282\) −10.2192 + 29.3689i −0.608545 + 1.74889i
\(283\) −13.9923 24.2353i −0.831755 1.44064i −0.896646 0.442749i \(-0.854003\pi\)
0.0648907 0.997892i \(-0.479330\pi\)
\(284\) 20.0024 11.5484i 1.18692 0.685271i
\(285\) −0.270883 + 0.778490i −0.0160458 + 0.0461138i
\(286\) 7.75524 + 10.6028i 0.458577 + 0.626956i
\(287\) −6.52013 −0.384871
\(288\) −8.72673 22.0094i −0.514228 1.29692i
\(289\) −16.9676 −0.998097
\(290\) −0.00372713 + 0.00645557i −0.000218864 + 0.000379084i
\(291\) −3.58010 18.7424i −0.209869 1.09870i
\(292\) 7.12588 4.11413i 0.417010 0.240761i
\(293\) −3.52118 + 2.03295i −0.205710 + 0.118766i −0.599316 0.800513i \(-0.704561\pi\)
0.393606 + 0.919279i \(0.371227\pi\)
\(294\) −17.0051 + 14.6857i −0.991758 + 0.856490i
\(295\) −2.19618 + 3.80390i −0.127867 + 0.221472i
\(296\) 0.970697 0.0564206
\(297\) 9.56655 0.408057i 0.555108 0.0236779i
\(298\) 32.9550 1.90903
\(299\) −13.4409 18.3762i −0.777309 1.06272i
\(300\) −2.16116 2.50248i −0.124775 0.144481i
\(301\) −7.02143 + 4.05383i −0.404709 + 0.233659i
\(302\) 9.43054 + 16.3342i 0.542666 + 0.939926i
\(303\) 7.31471 1.39723i 0.420219 0.0802687i
\(304\) 1.72013 + 0.993116i 0.0986560 + 0.0569591i
\(305\) 6.08046i 0.348166i
\(306\) 0.662290 0.836450i 0.0378606 0.0478167i
\(307\) 17.1314i 0.977739i −0.872357 0.488870i \(-0.837409\pi\)
0.872357 0.488870i \(-0.162591\pi\)
\(308\) 6.47736 11.2191i 0.369082 0.639268i
\(309\) 9.80774 28.1864i 0.557943 1.60347i
\(310\) −2.59708 + 1.49942i −0.147504 + 0.0851616i
\(311\) 1.95051 + 3.37838i 0.110603 + 0.191570i 0.916014 0.401147i \(-0.131388\pi\)
−0.805410 + 0.592717i \(0.798055\pi\)
\(312\) −0.766169 + 0.821533i −0.0433758 + 0.0465101i
\(313\) 5.78100 10.0130i 0.326762 0.565968i −0.655106 0.755537i \(-0.727376\pi\)
0.981867 + 0.189569i \(0.0607092\pi\)
\(314\) 17.1152i 0.965868i
\(315\) −1.60848 + 10.9299i −0.0906275 + 0.615833i
\(316\) −20.7255 −1.16590
\(317\) −10.1371 5.85264i −0.569354 0.328717i 0.187537 0.982258i \(-0.439950\pi\)
−0.756891 + 0.653541i \(0.773283\pi\)
\(318\) −5.83888 30.5675i −0.327428 1.71414i
\(319\) −0.00601685 + 0.00347383i −0.000336879 + 0.000194497i
\(320\) −6.28418 + 3.62817i −0.351296 + 0.202821i
\(321\) 9.51180 + 11.0140i 0.530897 + 0.614743i
\(322\) −22.9874 + 39.8153i −1.28104 + 2.21882i
\(323\) 0.0856010i 0.00476297i
\(324\) −3.93986 16.7233i −0.218881 0.929074i
\(325\) −1.45598 + 3.29850i −0.0807634 + 0.182968i
\(326\) 3.26326 5.65213i 0.180735 0.313042i
\(327\) 22.3890 19.3353i 1.23812 1.06925i
\(328\) 0.159244 + 0.275818i 0.00879277 + 0.0152295i
\(329\) −16.7198 28.9595i −0.921791 1.59659i
\(330\) −1.18400 6.19842i −0.0651769 0.341212i
\(331\) −14.8937 8.59889i −0.818633 0.472638i 0.0313119 0.999510i \(-0.490031\pi\)
−0.849945 + 0.526872i \(0.823365\pi\)
\(332\) 33.4394i 1.83523i
\(333\) 16.0165 + 2.35703i 0.877698 + 0.129164i
\(334\) 18.3878 1.00613
\(335\) −5.84681 + 10.1270i −0.319445 + 0.553295i
\(336\) 25.1427 + 8.74866i 1.37165 + 0.477278i
\(337\) 9.49177 + 16.4402i 0.517050 + 0.895557i 0.999804 + 0.0198007i \(0.00630319\pi\)
−0.482754 + 0.875756i \(0.660363\pi\)
\(338\) −24.4949 7.78625i −1.33235 0.423516i
\(339\) 2.55249 7.33560i 0.138632 0.398415i
\(340\) −0.297378 0.171692i −0.0161276 0.00931128i
\(341\) −2.79505 −0.151360
\(342\) 2.21300 + 1.75222i 0.119665 + 0.0947494i
\(343\) 1.61585i 0.0872477i
\(344\) 0.342975 + 0.198016i 0.0184919 + 0.0106763i
\(345\) 2.05204 + 10.7427i 0.110478 + 0.578370i
\(346\) −25.1132 + 14.4991i −1.35009 + 0.779476i
\(347\) −11.9344 20.6711i −0.640674 1.10968i −0.985282 0.170934i \(-0.945322\pi\)
0.344608 0.938747i \(-0.388012\pi\)
\(348\) 0.00814813 + 0.00943499i 0.000436786 + 0.000505768i
\(349\) 25.2213 + 14.5615i 1.35006 + 0.779460i 0.988258 0.152794i \(-0.0488270\pi\)
0.361806 + 0.932253i \(0.382160\pi\)
\(350\) 7.28087 0.389179
\(351\) −14.6366 + 11.6949i −0.781244 + 0.624226i
\(352\) −14.5433 −0.775160
\(353\) 1.85874 + 1.07314i 0.0989308 + 0.0571177i 0.548649 0.836053i \(-0.315142\pi\)
−0.449718 + 0.893170i \(0.648476\pi\)
\(354\) 9.83128 + 11.3840i 0.522527 + 0.605051i
\(355\) 6.04939 + 10.4779i 0.321068 + 0.556107i
\(356\) −3.41512 + 1.97172i −0.181001 + 0.104501i
\(357\) 0.215262 + 1.12693i 0.0113929 + 0.0596434i
\(358\) 6.70975 + 3.87388i 0.354621 + 0.204741i
\(359\) 2.98854i 0.157729i −0.996885 0.0788646i \(-0.974871\pi\)
0.996885 0.0788646i \(-0.0251295\pi\)
\(360\) 0.501649 0.198904i 0.0264392 0.0104831i
\(361\) 18.7735 0.988080
\(362\) −31.5436 18.2117i −1.65790 0.957187i
\(363\) −4.32841 + 12.4394i −0.227183 + 0.652899i
\(364\) 2.73000 + 25.1998i 0.143091 + 1.32083i
\(365\) 2.15510 + 3.73274i 0.112803 + 0.195381i
\(366\) 19.6659 + 6.84294i 1.02795 + 0.357686i
\(367\) −15.8370 + 27.4306i −0.826687 + 1.43186i 0.0739360 + 0.997263i \(0.476444\pi\)
−0.900623 + 0.434601i \(0.856889\pi\)
\(368\) 26.3546 1.37383
\(369\) 1.95778 + 4.93767i 0.101918 + 0.257045i
\(370\) 10.6692i 0.554666i
\(371\) 28.9819 + 16.7327i 1.50466 + 0.868719i
\(372\) 0.940978 + 4.92617i 0.0487875 + 0.255410i
\(373\) 9.20545 + 15.9443i 0.476640 + 0.825565i 0.999642 0.0267670i \(-0.00852122\pi\)
−0.523002 + 0.852332i \(0.675188\pi\)
\(374\) −0.327673 0.567546i −0.0169436 0.0293471i
\(375\) 1.31087 1.13208i 0.0676933 0.0584604i
\(376\) −0.816708 + 1.41458i −0.0421185 + 0.0729514i
\(377\) 0.00548942 0.0124362i 0.000282720 0.000640496i
\(378\) 33.5403 + 17.5028i 1.72513 + 0.900247i
\(379\) 21.6000i 1.10952i −0.832011 0.554760i \(-0.812810\pi\)
0.832011 0.554760i \(-0.187190\pi\)
\(380\) 0.454245 0.786776i 0.0233023 0.0403607i
\(381\) −7.11062 8.23363i −0.364288 0.421821i
\(382\) −1.02815 + 0.593604i −0.0526049 + 0.0303714i
\(383\) −22.9806 + 13.2679i −1.17426 + 0.677957i −0.954679 0.297638i \(-0.903801\pi\)
−0.219577 + 0.975595i \(0.570468\pi\)
\(384\) −0.467170 2.44571i −0.0238401 0.124807i
\(385\) 5.87690 + 3.39303i 0.299514 + 0.172925i
\(386\) −1.77903 −0.0905500
\(387\) 5.17825 + 4.10007i 0.263225 + 0.208418i
\(388\) 21.0309i 1.06768i
\(389\) 17.9599 31.1075i 0.910605 1.57721i 0.0973928 0.995246i \(-0.468950\pi\)
0.813212 0.581968i \(-0.197717\pi\)
\(390\) 9.02970 + 8.42118i 0.457237 + 0.426423i
\(391\) 0.567904 + 0.983639i 0.0287201 + 0.0497448i
\(392\) −1.02212 + 0.590119i −0.0516247 + 0.0298055i
\(393\) 11.8366 34.0171i 0.597076 1.71593i
\(394\) 1.34709 2.33322i 0.0678652 0.117546i
\(395\) 10.8566i 0.546256i
\(396\) −10.4411 1.53654i −0.524686 0.0772141i
\(397\) 14.4262i 0.724031i −0.932172 0.362016i \(-0.882089\pi\)
0.932172 0.362016i \(-0.117911\pi\)
\(398\) −43.0540 24.8572i −2.15810 1.24598i
\(399\) −2.98152 + 0.569519i −0.149263 + 0.0285116i
\(400\) −2.08684 3.61452i −0.104342 0.180726i
\(401\) −32.5154 + 18.7728i −1.62374 + 0.937469i −0.637838 + 0.770171i \(0.720171\pi\)
−0.985906 + 0.167298i \(0.946496\pi\)
\(402\) 26.1734 + 30.3071i 1.30541 + 1.51158i
\(403\) 4.41407 3.22860i 0.219880 0.160828i
\(404\) −8.20784 −0.408355
\(405\) 8.76018 2.06381i 0.435297 0.102552i
\(406\) −0.0274507 −0.00136235
\(407\) 4.97206 8.61186i 0.246456 0.426874i
\(408\) 0.0424146 0.0366296i 0.00209983 0.00181343i
\(409\) −21.8998 + 12.6439i −1.08288 + 0.625199i −0.931671 0.363304i \(-0.881649\pi\)
−0.151205 + 0.988502i \(0.548315\pi\)
\(410\) 3.03160 1.75029i 0.149720 0.0864409i
\(411\) −2.32516 12.1726i −0.114692 0.600430i
\(412\) −16.4466 + 28.4864i −0.810267 + 1.40342i
\(413\) −16.1751 −0.795927
\(414\) 37.0543 + 5.45301i 1.82112 + 0.268001i
\(415\) −17.5165 −0.859853
\(416\) 22.9674 16.7991i 1.12607 0.823646i
\(417\) 9.39777 27.0082i 0.460211 1.32260i
\(418\) 1.50156 0.866926i 0.0734437 0.0424028i
\(419\) −17.4957 30.3034i −0.854721 1.48042i −0.876904 0.480666i \(-0.840395\pi\)
0.0221830 0.999754i \(-0.492938\pi\)
\(420\) 4.00158 11.5001i 0.195257 0.561149i
\(421\) −23.1033 13.3387i −1.12599 0.650088i −0.183064 0.983101i \(-0.558601\pi\)
−0.942922 + 0.333013i \(0.891935\pi\)
\(422\) 45.7475i 2.22696i
\(423\) −16.9105 + 21.3574i −0.822217 + 1.03843i
\(424\) 1.63468i 0.0793870i
\(425\) 0.0899371 0.155776i 0.00436259 0.00755622i
\(426\) 40.6962 7.77364i 1.97174 0.376634i
\(427\) −19.3917 + 11.1958i −0.938432 + 0.541804i
\(428\) −8.01983 13.8908i −0.387653 0.671435i
\(429\) 3.36407 + 11.0053i 0.162419 + 0.531343i
\(430\) 2.17645 3.76973i 0.104958 0.181793i
\(431\) 26.5012i 1.27652i 0.769821 + 0.638260i \(0.220346\pi\)
−0.769821 + 0.638260i \(0.779654\pi\)
\(432\) −0.924213 21.6674i −0.0444662 1.04247i
\(433\) −10.2308 −0.491659 −0.245829 0.969313i \(-0.579060\pi\)
−0.245829 + 0.969313i \(0.579060\pi\)
\(434\) −9.56389 5.52171i −0.459081 0.265051i
\(435\) −0.00494232 + 0.00426823i −0.000236966 + 0.000204646i
\(436\) −28.2368 + 16.3025i −1.35230 + 0.780748i
\(437\) −2.60242 + 1.50251i −0.124491 + 0.0718747i
\(438\) 14.4981 2.76936i 0.692744 0.132325i
\(439\) 7.70352 13.3429i 0.367669 0.636821i −0.621532 0.783389i \(-0.713489\pi\)
0.989201 + 0.146568i \(0.0468226\pi\)
\(440\) 0.331477i 0.0158026i
\(441\) −18.2978 + 7.25507i −0.871324 + 0.345480i
\(442\) 1.17306 + 0.517796i 0.0557966 + 0.0246291i
\(443\) −12.0434 + 20.8597i −0.572198 + 0.991076i 0.424142 + 0.905596i \(0.360576\pi\)
−0.996340 + 0.0854802i \(0.972758\pi\)
\(444\) −16.8520 5.86382i −0.799761 0.278285i
\(445\) −1.03285 1.78894i −0.0489616 0.0848039i
\(446\) 4.47424 + 7.74962i 0.211862 + 0.366955i
\(447\) 27.2665 + 9.48766i 1.28966 + 0.448751i
\(448\) −23.1418 13.3610i −1.09335 0.631246i
\(449\) 21.2128i 1.00109i 0.865710 + 0.500546i \(0.166868\pi\)
−0.865710 + 0.500546i \(0.833132\pi\)
\(450\) −2.18621 5.51377i −0.103059 0.259922i
\(451\) 3.26269 0.153634
\(452\) −4.28028 + 7.41367i −0.201328 + 0.348710i
\(453\) 3.10014 + 16.2297i 0.145657 + 0.762539i
\(454\) −22.8619 39.5980i −1.07296 1.85843i
\(455\) −13.2004 + 1.43005i −0.618845 + 0.0670420i
\(456\) 0.0969110 + 0.112216i 0.00453828 + 0.00525502i
\(457\) 4.57485 + 2.64129i 0.214002 + 0.123554i 0.603170 0.797613i \(-0.293904\pi\)
−0.389168 + 0.921167i \(0.627237\pi\)
\(458\) 13.8135 0.645462
\(459\) 0.788783 0.501397i 0.0368172 0.0234032i
\(460\) 12.0544i 0.562041i
\(461\) −19.7917 11.4268i −0.921793 0.532197i −0.0375860 0.999293i \(-0.511967\pi\)
−0.884206 + 0.467096i \(0.845300\pi\)
\(462\) 17.5878 15.1890i 0.818260 0.706656i
\(463\) 12.7675 7.37130i 0.593355 0.342574i −0.173068 0.984910i \(-0.555368\pi\)
0.766423 + 0.642336i \(0.222035\pi\)
\(464\) 0.00786792 + 0.0136276i 0.000365259 + 0.000632647i
\(465\) −2.58047 + 0.492912i −0.119667 + 0.0228582i
\(466\) 38.8258 + 22.4161i 1.79857 + 1.03840i
\(467\) 30.2235 1.39858 0.699288 0.714840i \(-0.253501\pi\)
0.699288 + 0.714840i \(0.253501\pi\)
\(468\) 18.2640 9.63410i 0.844253 0.445337i
\(469\) −43.0624 −1.98844
\(470\) 15.5480 + 8.97667i 0.717178 + 0.414063i
\(471\) 4.92744 14.1609i 0.227044 0.652501i
\(472\) 0.395052 + 0.684250i 0.0181837 + 0.0314952i
\(473\) 3.51354 2.02854i 0.161553 0.0932725i
\(474\) −35.1133 12.2180i −1.61281 0.561192i
\(475\) 0.412136 + 0.237947i 0.0189101 + 0.0109178i
\(476\) 1.26453i 0.0579595i
\(477\) 3.96929 26.9721i 0.181741 1.23497i
\(478\) −50.9685 −2.33124
\(479\) −11.6401 6.72044i −0.531852 0.307065i 0.209918 0.977719i \(-0.432680\pi\)
−0.741770 + 0.670654i \(0.766013\pi\)
\(480\) −13.4268 + 2.56474i −0.612847 + 0.117064i
\(481\) 2.09557 + 19.3436i 0.0955496 + 0.881990i
\(482\) 5.87252 + 10.1715i 0.267486 + 0.463300i
\(483\) −30.4822 + 26.3247i −1.38699 + 1.19782i
\(484\) 7.25832 12.5718i 0.329924 0.571445i
\(485\) −11.0166 −0.500237
\(486\) 3.18375 30.6554i 0.144418 1.39056i
\(487\) 14.5660i 0.660048i 0.943973 + 0.330024i \(0.107057\pi\)
−0.943973 + 0.330024i \(0.892943\pi\)
\(488\) 0.947224 + 0.546880i 0.0428788 + 0.0247561i
\(489\) 4.32722 3.73702i 0.195684 0.168994i
\(490\) 6.48617 + 11.2344i 0.293015 + 0.507517i
\(491\) 18.7197 + 32.4236i 0.844810 + 1.46325i 0.885786 + 0.464094i \(0.153620\pi\)
−0.0409752 + 0.999160i \(0.513046\pi\)
\(492\) −1.09841 5.75037i −0.0495203 0.259247i
\(493\) −0.000339085 0 0.000587313i −1.52716e−5 0 2.64512e-5i
\(494\) −1.36994 + 3.10356i −0.0616364 + 0.139636i
\(495\) 0.804886 5.46937i 0.0361769 0.245830i
\(496\) 6.33053i 0.284249i
\(497\) −22.2772 + 38.5853i −0.999270 + 1.73079i
\(498\) −19.7131 + 56.6533i −0.883365 + 2.53870i
\(499\) 30.8555 17.8144i 1.38128 0.797483i 0.388969 0.921251i \(-0.372831\pi\)
0.992311 + 0.123768i \(0.0394979\pi\)
\(500\) −1.65326 + 0.954509i −0.0739360 + 0.0426870i
\(501\) 15.2138 + 5.29380i 0.679703 + 0.236509i
\(502\) −35.6018 20.5547i −1.58898 0.917401i
\(503\) −4.68505 −0.208896 −0.104448 0.994530i \(-0.533308\pi\)
−0.104448 + 0.994530i \(0.533308\pi\)
\(504\) 1.55802 + 1.23362i 0.0693996 + 0.0549496i
\(505\) 4.29951i 0.191326i
\(506\) 11.5029 19.9237i 0.511368 0.885715i
\(507\) −18.0251 13.4943i −0.800523 0.599302i
\(508\) 5.99529 + 10.3841i 0.265998 + 0.460722i
\(509\) 17.9569 10.3674i 0.795926 0.459528i −0.0461186 0.998936i \(-0.514685\pi\)
0.842045 + 0.539408i \(0.181352\pi\)
\(510\) −0.402606 0.466191i −0.0178277 0.0206433i
\(511\) −7.93628 + 13.7460i −0.351080 + 0.608089i
\(512\) 31.4377i 1.38936i
\(513\) 1.32655 + 2.08689i 0.0585685 + 0.0921383i
\(514\) 8.34256i 0.367975i
\(515\) −14.9220 8.61522i −0.657542 0.379632i
\(516\) −4.75810 5.50956i −0.209464 0.242545i
\(517\) 8.36661 + 14.4914i 0.367963 + 0.637331i
\(518\) 34.0261 19.6450i 1.49502 0.863151i
\(519\) −24.9526 + 4.76635i −1.09530 + 0.209219i
\(520\) 0.382894 + 0.523484i 0.0167910 + 0.0229563i
\(521\) 3.45022 0.151157 0.0755784 0.997140i \(-0.475920\pi\)
0.0755784 + 0.997140i \(0.475920\pi\)
\(522\) 0.00824255 + 0.0207883i 0.000360766 + 0.000909879i
\(523\) −19.4273 −0.849494 −0.424747 0.905312i \(-0.639637\pi\)
−0.424747 + 0.905312i \(0.639637\pi\)
\(524\) −19.8488 + 34.3791i −0.867098 + 1.50186i
\(525\) 6.02410 + 2.09615i 0.262913 + 0.0914833i
\(526\) 52.9247 30.5561i 2.30763 1.33231i
\(527\) −0.236276 + 0.136414i −0.0102924 + 0.00594229i
\(528\) −12.5815 4.37784i −0.547538 0.190521i
\(529\) −8.43622 + 14.6120i −0.366792 + 0.635302i
\(530\) −17.9672 −0.780446
\(531\) 4.85687 + 12.2494i 0.210770 + 0.531577i
\(532\) 3.34557 0.145049
\(533\) −5.15259 + 3.76877i −0.223183 + 0.163244i
\(534\) −6.94829 + 1.32724i −0.300682 + 0.0574351i
\(535\) 7.27638 4.20102i 0.314586 0.181626i
\(536\) 1.05173 + 1.82165i 0.0454278 + 0.0786833i
\(537\) 4.43629 + 5.13692i 0.191440 + 0.221675i
\(538\) −3.19098 1.84231i −0.137573 0.0794278i
\(539\) 12.0907i 0.520785i
\(540\) −9.91054 + 0.422730i −0.426482 + 0.0181914i
\(541\) 10.9817i 0.472139i −0.971736 0.236069i \(-0.924141\pi\)
0.971736 0.236069i \(-0.0758592\pi\)
\(542\) 5.55096 9.61454i 0.238434 0.412980i
\(543\) −20.8557 24.1495i −0.895004 1.03635i
\(544\) −1.22940 + 0.709795i −0.0527101 + 0.0304322i
\(545\) −8.53973 14.7912i −0.365802 0.633587i
\(546\) −10.2305 + 44.3031i −0.437826 + 1.89600i
\(547\) 17.6658 30.5981i 0.755335 1.30828i −0.189872 0.981809i \(-0.560807\pi\)
0.945208 0.326470i \(-0.105859\pi\)
\(548\) 13.6589i 0.583478i
\(549\) 14.3012 + 11.3235i 0.610362 + 0.483277i
\(550\) −3.64336 −0.155353
\(551\) −0.00155386 0.000897119i −6.61965e−5 3.82186e-5i
\(552\) 1.85808 + 0.646538i 0.0790852 + 0.0275185i
\(553\) 34.6238 19.9900i 1.47235 0.850063i
\(554\) −1.16838 + 0.674565i −0.0496398 + 0.0286595i
\(555\) 3.07164 8.82757i 0.130384 0.374710i
\(556\) −15.7591 + 27.2956i −0.668336 + 1.15759i
\(557\) 10.1075i 0.428267i 0.976804 + 0.214134i \(0.0686928\pi\)
−0.976804 + 0.214134i \(0.931307\pi\)
\(558\) −1.30985 + 8.90068i −0.0554503 + 0.376796i
\(559\) −3.20555 + 7.26210i −0.135580 + 0.307154i
\(560\) 7.68491 13.3107i 0.324747 0.562478i
\(561\) −0.107717 0.563917i −0.00454783 0.0238086i
\(562\) −26.2522 45.4701i −1.10738 1.91804i
\(563\) 18.2497 + 31.6093i 0.769131 + 1.33217i 0.938034 + 0.346542i \(0.112644\pi\)
−0.168903 + 0.985633i \(0.554023\pi\)
\(564\) 22.7239 19.6245i 0.956848 0.826341i
\(565\) −3.88350 2.24214i −0.163380 0.0943275i
\(566\) 55.3289i 2.32565i
\(567\) 22.7118 + 24.1378i 0.953806 + 1.01369i
\(568\) 2.17634 0.0913173
\(569\) −4.37142 + 7.57152i −0.183259 + 0.317415i −0.942989 0.332825i \(-0.891998\pi\)
0.759729 + 0.650240i \(0.225331\pi\)
\(570\) 1.23340 1.06518i 0.0516616 0.0446153i
\(571\) 10.5346 + 18.2464i 0.440859 + 0.763590i 0.997753 0.0669932i \(-0.0213406\pi\)
−0.556894 + 0.830583i \(0.688007\pi\)
\(572\) −1.36610 12.6100i −0.0571194 0.527252i
\(573\) −1.02158 + 0.195138i −0.0426770 + 0.00815200i
\(574\) 11.1640 + 6.44556i 0.465978 + 0.269032i
\(575\) 6.31446 0.263331
\(576\) −3.16945 + 21.5371i −0.132061 + 0.897378i
\(577\) 23.6128i 0.983014i 0.870874 + 0.491507i \(0.163554\pi\)
−0.870874 + 0.491507i \(0.836446\pi\)
\(578\) 29.0527 + 16.7736i 1.20843 + 0.697688i
\(579\) −1.47194 0.512178i −0.0611719 0.0212854i
\(580\) 0.00623320 0.00359874i 0.000258819 0.000149429i
\(581\) −32.2528 55.8635i −1.33807 2.31761i
\(582\) −12.3980 + 35.6306i −0.513915 + 1.47694i
\(583\) −14.5026 8.37308i −0.600636 0.346777i
\(584\) 0.775323 0.0320831
\(585\) 5.04663 + 9.56721i 0.208652 + 0.395556i
\(586\) 8.03880 0.332080
\(587\) 1.83805 + 1.06120i 0.0758643 + 0.0438003i 0.537452 0.843294i \(-0.319387\pi\)
−0.461588 + 0.887094i \(0.652720\pi\)
\(588\) 21.3095 4.07046i 0.878789 0.167863i
\(589\) −0.360912 0.625117i −0.0148711 0.0257575i
\(590\) 7.52079 4.34213i 0.309626 0.178763i
\(591\) 1.78629 1.54266i 0.0734782 0.0634564i
\(592\) −19.5051 11.2613i −0.801655 0.462836i
\(593\) 11.5522i 0.474391i −0.971462 0.237196i \(-0.923772\pi\)
0.971462 0.237196i \(-0.0762282\pi\)
\(594\) −16.7836 8.75844i −0.688640 0.359363i
\(595\) 0.662396 0.0271556
\(596\) −27.5567 15.9099i −1.12877 0.651694i
\(597\) −28.4660 32.9617i −1.16504 1.34903i
\(598\) 4.84812 + 44.7516i 0.198254 + 1.83003i
\(599\) 20.3446 + 35.2379i 0.831258 + 1.43978i 0.897041 + 0.441947i \(0.145712\pi\)
−0.0657834 + 0.997834i \(0.520955\pi\)
\(600\) −0.0584567 0.306030i −0.00238648 0.0124936i
\(601\) −5.12863 + 8.88304i −0.209201 + 0.362347i −0.951463 0.307763i \(-0.900420\pi\)
0.742262 + 0.670110i \(0.233753\pi\)
\(602\) 16.0298 0.653327
\(603\) 12.9302 + 32.6110i 0.526559 + 1.32802i
\(604\) 18.2114i 0.741010i
\(605\) 6.58547 + 3.80212i 0.267737 + 0.154578i
\(606\) −13.9058 4.83866i −0.564884 0.196557i
\(607\) −17.1143 29.6428i −0.694648 1.20317i −0.970299 0.241908i \(-0.922227\pi\)
0.275651 0.961258i \(-0.411106\pi\)
\(608\) −1.87791 3.25263i −0.0761592 0.131912i
\(609\) −0.0227124 0.00790300i −0.000920352 0.000320246i
\(610\) 6.01091 10.4112i 0.243375 0.421537i
\(611\) −29.9521 13.2211i −1.21173 0.534869i
\(612\) −0.957621 + 0.379696i −0.0387095 + 0.0153483i
\(613\) 48.3073i 1.95111i −0.219752 0.975556i \(-0.570525\pi\)
0.219752 0.975556i \(-0.429475\pi\)
\(614\) −16.9354 + 29.3330i −0.683458 + 1.18378i
\(615\) 3.01221 0.575382i 0.121464 0.0232016i
\(616\) 1.05714 0.610342i 0.0425935 0.0245914i
\(617\) 1.19929 0.692413i 0.0482818 0.0278755i −0.475665 0.879627i \(-0.657792\pi\)
0.523947 + 0.851751i \(0.324459\pi\)
\(618\) −44.6572 + 38.5663i −1.79638 + 1.55136i
\(619\) 11.0458 + 6.37731i 0.443969 + 0.256326i 0.705280 0.708929i \(-0.250821\pi\)
−0.261311 + 0.965255i \(0.584155\pi\)
\(620\) 2.89555 0.116288
\(621\) 29.0884 + 15.1796i 1.16728 + 0.609137i
\(622\) 7.71279i 0.309255i
\(623\) 3.80351 6.58788i 0.152384 0.263938i
\(624\) 24.9261 7.61932i 0.997844 0.305017i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −19.7969 + 11.4298i −0.791244 + 0.456825i
\(627\) 1.49196 0.284988i 0.0595831 0.0113813i
\(628\) −8.26284 + 14.3117i −0.329723 + 0.571097i
\(629\) 0.970660i 0.0387027i
\(630\) 13.5590 17.1246i 0.540205 0.682261i
\(631\) 36.8152i 1.46559i 0.680449 + 0.732796i \(0.261785\pi\)
−0.680449 + 0.732796i \(0.738215\pi\)
\(632\) −1.69126 0.976450i −0.0672747 0.0388411i
\(633\) −13.1706 + 37.8510i −0.523485 + 1.50444i
\(634\) 11.5714 + 20.0422i 0.459559 + 0.795979i
\(635\) −5.43952 + 3.14051i −0.215861 + 0.124627i
\(636\) −9.87482 + 28.3792i −0.391562 + 1.12531i
\(637\) −13.9662 19.0942i −0.553360 0.756542i
\(638\) 0.0137364 0.000543828
\(639\) 35.9096 + 5.28455i 1.42056 + 0.209053i
\(640\) −1.43756 −0.0568245
\(641\) −3.25193 + 5.63250i −0.128443 + 0.222470i −0.923074 0.384623i \(-0.874331\pi\)
0.794630 + 0.607094i \(0.207665\pi\)
\(642\) −5.39843 28.2616i −0.213059 1.11540i
\(643\) 18.8197 10.8655i 0.742175 0.428495i −0.0806847 0.996740i \(-0.525711\pi\)
0.822860 + 0.568245i \(0.192377\pi\)
\(644\) 38.4438 22.1955i 1.51490 0.874627i
\(645\) 2.88607 2.49243i 0.113639 0.0981394i
\(646\) 0.0846219 0.146569i 0.00332940 0.00576670i
\(647\) 2.31013 0.0908207 0.0454104 0.998968i \(-0.485540\pi\)
0.0454104 + 0.998968i \(0.485540\pi\)
\(648\) 0.466391 1.55029i 0.0183216 0.0609013i
\(649\) 8.09407 0.317720
\(650\) 5.75377 4.20849i 0.225681 0.165071i
\(651\) −6.32336 7.32202i −0.247832 0.286973i
\(652\) −5.45743 + 3.15085i −0.213730 + 0.123397i
\(653\) 6.74124 + 11.6762i 0.263805 + 0.456924i 0.967250 0.253826i \(-0.0816890\pi\)
−0.703445 + 0.710750i \(0.748356\pi\)
\(654\) −57.4496 + 10.9738i −2.24646 + 0.429109i
\(655\) −18.0088 10.3974i −0.703661 0.406259i
\(656\) 7.38970i 0.288519i
\(657\) 12.7928 + 1.88262i 0.499095 + 0.0734481i
\(658\) 66.1141i 2.57740i
\(659\) 4.46412 7.73208i 0.173897 0.301199i −0.765882 0.642981i \(-0.777697\pi\)
0.939779 + 0.341782i \(0.111031\pi\)
\(660\) −2.00240 + 5.75468i −0.0779433 + 0.224001i
\(661\) −28.3029 + 16.3407i −1.10085 + 0.635579i −0.936445 0.350813i \(-0.885905\pi\)
−0.164409 + 0.986392i \(0.552572\pi\)
\(662\) 17.0011 + 29.4467i 0.660766 + 1.14448i
\(663\) 0.821501 + 0.766139i 0.0319045 + 0.0297544i
\(664\) −1.57545 + 2.72876i −0.0611392 + 0.105896i
\(665\) 1.75251i 0.0679593i
\(666\) −25.0940 19.8691i −0.972372 0.769911i
\(667\) −0.0238071 −0.000921815
\(668\) −15.3757 8.87718i −0.594905 0.343469i
\(669\) 1.47084 + 7.70007i 0.0568658 + 0.297702i
\(670\) 20.0223 11.5599i 0.773528 0.446596i
\(671\) 9.70366 5.60241i 0.374606 0.216279i
\(672\) −32.9019 38.0982i −1.26922 1.46967i
\(673\) 20.0752 34.7712i 0.773842 1.34033i −0.161602 0.986856i \(-0.551666\pi\)
0.935443 0.353477i \(-0.115001\pi\)
\(674\) 37.5328i 1.44571i
\(675\) −0.221438 5.19143i −0.00852316 0.199818i
\(676\) 16.7234 + 18.3364i 0.643209 + 0.705245i
\(677\) 19.1300 33.1342i 0.735227 1.27345i −0.219397 0.975636i \(-0.570409\pi\)
0.954624 0.297814i \(-0.0962577\pi\)
\(678\) −11.6222 + 10.0370i −0.446347 + 0.385469i
\(679\) −20.2846 35.1339i −0.778451 1.34832i
\(680\) −0.0161780 0.0280211i −0.000620397 0.00107456i
\(681\) −7.51550 39.3448i −0.287994 1.50770i
\(682\) 4.78579 + 2.76308i 0.183257 + 0.105804i
\(683\) 18.5501i 0.709801i −0.934904 0.354901i \(-0.884515\pi\)
0.934904 0.354901i \(-0.115485\pi\)
\(684\) −1.00456 2.53358i −0.0384105 0.0968740i
\(685\) −7.15492 −0.273375
\(686\) 1.59737 2.76672i 0.0609878 0.105634i
\(687\) 11.4291 + 3.97688i 0.436048 + 0.151727i
\(688\) −4.59447 7.95786i −0.175163 0.303390i
\(689\) 32.5750 3.52899i 1.24101 0.134444i
\(690\) 7.10629 20.4227i 0.270532 0.777479i
\(691\) 38.8399 + 22.4242i 1.47754 + 0.853058i 0.999678 0.0253767i \(-0.00807852\pi\)
0.477862 + 0.878435i \(0.341412\pi\)
\(692\) 27.9993 1.06437
\(693\) 18.9248 7.50369i 0.718895 0.285042i
\(694\) 47.1917i 1.79137i
\(695\) −14.2982 8.25510i −0.542364 0.313134i
\(696\) 0.000220396 0.00115381i 8.35410e−6 4.37350e-5i
\(697\) 0.275808 0.159238i 0.0104470 0.00603156i
\(698\) −28.7899 49.8656i −1.08971 1.88744i
\(699\) 25.6704 + 29.7246i 0.970945 + 1.12429i
\(700\) −6.08822 3.51503i −0.230113 0.132856i
\(701\) −32.7223 −1.23591 −0.617953 0.786215i \(-0.712038\pi\)
−0.617953 + 0.786215i \(0.712038\pi\)
\(702\) 36.6225 5.55525i 1.38223 0.209669i
\(703\) 2.56808 0.0968569
\(704\) 11.5802 + 6.68585i 0.436446 + 0.251982i
\(705\) 10.2799 + 11.9034i 0.387163 + 0.448309i
\(706\) −2.12174 3.67496i −0.0798528 0.138309i
\(707\) 13.7119 7.91659i 0.515690 0.297734i
\(708\) −2.72494 14.2655i −0.102410 0.536131i
\(709\) 9.06616 + 5.23435i 0.340487 + 0.196580i 0.660487 0.750837i \(-0.270350\pi\)
−0.320001 + 0.947417i \(0.603683\pi\)
\(710\) 23.9208i 0.897731i
\(711\) −25.5348 20.2181i −0.957629 0.758237i
\(712\) −0.371579 −0.0139255
\(713\) −8.29445 4.78880i −0.310630 0.179342i
\(714\) 0.745460 2.14237i 0.0278981 0.0801763i
\(715\) 6.60551 0.715602i 0.247032 0.0267620i
\(716\) −3.74043 6.47862i −0.139787 0.242118i
\(717\) −42.1707 14.6737i −1.57489 0.548000i
\(718\) −2.95436 + 5.11710i −0.110256 + 0.190969i
\(719\) −10.0212 −0.373727 −0.186864 0.982386i \(-0.559832\pi\)
−0.186864 + 0.982386i \(0.559832\pi\)
\(720\) −12.3876 1.82300i −0.461660 0.0679390i
\(721\) 63.4520i 2.36308i
\(722\) −32.1448 18.5588i −1.19630 0.690687i
\(723\) 1.93050 + 10.1065i 0.0717960 + 0.375864i
\(724\) 17.5844 + 30.4571i 0.653519 + 1.13193i
\(725\) 0.00188512 + 0.00326513i 7.00118e−5 + 0.000121264i
\(726\) 19.7084 17.0203i 0.731447 0.631683i
\(727\) 22.6535 39.2370i 0.840171 1.45522i −0.0495795 0.998770i \(-0.515788\pi\)
0.889750 0.456448i \(-0.150879\pi\)
\(728\) −0.964475 + 2.18500i −0.0357458 + 0.0809815i
\(729\) 11.4598 24.4473i 0.424438 0.905457i
\(730\) 8.52180i 0.315406i
\(731\) 0.198009 0.342961i 0.00732362 0.0126849i
\(732\) −13.1409 15.2163i −0.485701 0.562409i
\(733\) −0.358019 + 0.206702i −0.0132237 + 0.00763473i −0.506597 0.862183i \(-0.669097\pi\)
0.493374 + 0.869818i \(0.335764\pi\)
\(734\) 54.2336 31.3118i 2.00180 1.15574i
\(735\) 2.13222 + 11.1625i 0.0786483 + 0.411736i
\(736\) −43.1580 24.9173i −1.59082 0.918463i
\(737\) 21.5485 0.793749
\(738\) 1.52900 10.3899i 0.0562832 0.382456i
\(739\) 8.98933i 0.330678i 0.986237 + 0.165339i \(0.0528718\pi\)
−0.986237 + 0.165339i \(0.947128\pi\)
\(740\) −5.15085 + 8.92153i −0.189349 + 0.327962i
\(741\) −2.02698 + 2.17345i −0.0744629 + 0.0798437i
\(742\) −33.0826 57.3008i −1.21450 2.10358i
\(743\) 6.96651 4.02211i 0.255576 0.147557i −0.366739 0.930324i \(-0.619526\pi\)
0.622315 + 0.782767i \(0.286192\pi\)
\(744\) −0.155303 + 0.446323i −0.00569367 + 0.0163630i
\(745\) 8.33407 14.4350i 0.305337 0.528858i
\(746\) 36.4006i 1.33272i
\(747\) −32.6207 + 41.1989i −1.19353 + 1.50739i
\(748\) 0.632772i 0.0231364i
\(749\) 26.7957 + 15.4705i 0.979093 + 0.565280i
\(750\) −3.36366 + 0.642514i −0.122824 + 0.0234613i
\(751\) −3.76057 6.51349i −0.137225 0.237681i 0.789220 0.614110i \(-0.210485\pi\)
−0.926445 + 0.376430i \(0.877152\pi\)
\(752\) 32.8217 18.9496i 1.19689 0.691022i
\(753\) −23.5388 27.2564i −0.857802 0.993277i
\(754\) −0.0216931 + 0.0158671i −0.000790017 + 0.000577845i
\(755\) 9.53965 0.347183
\(756\) −19.5962 30.8282i −0.712708 1.12121i
\(757\) −38.3328 −1.39323 −0.696614 0.717446i \(-0.745311\pi\)
−0.696614 + 0.717446i \(0.745311\pi\)
\(758\) −21.3530 + 36.9844i −0.775575 + 1.34334i
\(759\) 15.2534 13.1729i 0.553662 0.478147i
\(760\) 0.0741355 0.0428021i 0.00268918 0.00155260i
\(761\) −11.3676 + 6.56308i −0.412075 + 0.237912i −0.691681 0.722203i \(-0.743129\pi\)
0.279606 + 0.960115i \(0.409796\pi\)
\(762\) 4.03564 + 21.1272i 0.146196 + 0.765359i
\(763\) 31.4480 54.4696i 1.13850 1.97193i
\(764\) 1.14631 0.0414721
\(765\) −0.198896 0.501630i −0.00719110 0.0181365i
\(766\) 52.4645 1.89562
\(767\) −12.7825 + 9.34957i −0.461551 + 0.337593i
\(768\) −9.87860 + 28.3900i −0.356463 + 1.02444i
\(769\) 36.5074 21.0776i 1.31649 0.760077i 0.333329 0.942811i \(-0.391828\pi\)
0.983162 + 0.182734i \(0.0584947\pi\)
\(770\) −6.70844 11.6194i −0.241755 0.418732i
\(771\) 2.40181 6.90254i 0.0864989 0.248589i
\(772\) 1.48761 + 0.858872i 0.0535403 + 0.0309115i
\(773\) 2.91191i 0.104734i 0.998628 + 0.0523671i \(0.0166766\pi\)
−0.998628 + 0.0523671i \(0.983323\pi\)
\(774\) −4.81323 12.1393i −0.173008 0.436339i