Properties

Label 585.2.bt.b.571.9
Level $585$
Weight $2$
Character 585.571
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 571.9
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.9

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

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

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 −0.962920 0.269788i \(-0.913046\pi\)
−0.247816 + 0.968807i \(0.579713\pi\)
\(3\) −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 −0.961751 0.273926i \(-0.911678\pi\)
−0.243648 + 0.969864i \(0.578344\pi\)
\(8\) 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 −0.239731 0.970839i \(-0.577059\pi\)
0.720906 + 0.693033i \(0.243726\pi\)
\(12\) 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 \(-0.982615\pi\)
0.998509 0.0545888i \(-0.0173848\pi\)
\(20\) −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 −0.322720 0.946494i \(-0.604597\pi\)
0.981048 0.193763i \(-0.0620694\pi\)
\(24\) 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 0.865850 0.500303i \(-0.166778\pi\)
−0.866200 + 0.499697i \(0.833445\pi\)
\(30\) −2.23827 + 2.59176i −0.408649 + 0.473189i
\(31\) −1.31356 0.758387i −0.235923 0.136210i 0.377378 0.926059i \(-0.376826\pi\)
−0.613302 + 0.789849i \(0.710159\pi\)
\(32\) −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 \(0.146290\pi\)
−0.896237 + 0.443575i \(0.853710\pi\)
\(38\) 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 0.614932 0.788580i \(-0.289184\pi\)
−0.375465 + 0.926837i \(0.622517\pi\)
\(42\) 4.14434 + 11.9104i 0.639486 + 1.83781i
\(43\) 1.10082 + 1.90667i 0.167873 + 0.290765i 0.937672 0.347522i \(-0.112977\pi\)
−0.769799 + 0.638287i \(0.779643\pi\)
\(44\) 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 0.198904 0.980019i \(-0.436262\pi\)
0.948173 + 0.317753i \(0.102928\pi\)
\(48\) −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 0.726740 0.686913i \(-0.241035\pi\)
−0.231514 + 0.972832i \(0.574368\pi\)
\(60\) 0.620382 3.24780i 0.0800909 0.419289i
\(61\) 3.04023 + 5.26583i 0.389262 + 0.674221i 0.992350 0.123453i \(-0.0393968\pi\)
−0.603089 + 0.797674i \(0.706064\pi\)
\(62\) 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 0.968522 0.248927i \(-0.0800780\pi\)
0.268684 + 0.963228i \(0.413411\pi\)
\(68\) 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 \(0.254910\pi\)
−0.696115 + 0.717930i \(0.745090\pi\)
\(72\) −0.533893 + 0.0785690i −0.0629199 + 0.00925945i
\(73\) 4.31020i 0.504471i 0.967666 + 0.252235i \(0.0811657\pi\)
−0.967666 + 0.252235i \(0.918834\pi\)
\(74\) −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 −0.991117 0.132991i \(-0.957542\pi\)
0.380385 0.924828i \(-0.375792\pi\)
\(80\) 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 0.694877 0.719129i \(-0.255459\pi\)
0.970222 0.242216i \(-0.0778744\pi\)
\(84\) −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 \(-0.965081\pi\)
0.993989 0.109481i \(-0.0349190\pi\)
\(90\) −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 0.0698636 0.997557i \(-0.477744\pi\)
0.898841 + 0.438275i \(0.144410\pi\)
\(98\) 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 0.739026 0.673677i \(-0.235286\pi\)
−0.952934 + 0.303177i \(0.901953\pi\)
\(102\) 0.115572 0.605036i 0.0114433 0.0599075i
\(103\) 8.61522 14.9220i 0.848883 1.47031i −0.0333232 0.999445i \(-0.510609\pi\)
0.882206 0.470864i \(-0.156058\pi\)
\(104\) −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 \(-0.695106\pi\)
0.575278 0.817958i \(-0.304894\pi\)
\(110\) 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 −0.741081 0.671416i \(-0.765687\pi\)
0.952004 + 0.306087i \(0.0990199\pi\)
\(114\) −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 0.0921678 0.995743i \(-0.470620\pi\)
0.816255 0.577691i \(-0.196046\pi\)
\(132\) 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 −0.211379 0.977404i \(-0.567795\pi\)
0.740768 + 0.671761i \(0.234462\pi\)
\(138\) −16.3656 14.1334i −1.39313 1.20312i
\(139\) 8.25510 14.2982i 0.700188 1.21276i −0.268212 0.963360i \(-0.586433\pi\)
0.968400 0.249402i \(-0.0802340\pi\)
\(140\) 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 −0.225957 0.974137i \(-0.572551\pi\)
−0.956606 + 0.291384i \(0.905884\pi\)
\(150\) 3.23428 1.12540i 0.264077 0.0918884i
\(151\) −8.26158 + 4.76983i −0.672318 + 0.388163i −0.796954 0.604040i \(-0.793557\pi\)
0.124636 + 0.992202i \(0.460224\pi\)
\(152\) −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 −0.639996 0.768378i \(-0.721064\pi\)
0.985433 + 0.170064i \(0.0543973\pi\)
\(158\) 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 \(-0.958734\pi\)
0.991608 0.129278i \(-0.0412659\pi\)
\(164\) 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 0.154879 0.987933i \(-0.450501\pi\)
−0.778136 + 0.628096i \(0.783835\pi\)
\(168\) −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 0.997700 + 0.0677809i \(0.0215919\pi\)
−0.440150 + 0.897924i \(0.645075\pi\)
\(174\) −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 0.876683 0.481068i \(-0.159751\pi\)
−0.854959 + 0.518696i \(0.826418\pi\)
\(192\) −8.21478 + 9.51216i −0.592850 + 0.686481i
\(193\) 0.779254 + 0.449902i 0.0560919 + 0.0323847i 0.527784 0.849379i \(-0.323023\pi\)
−0.471692 + 0.881763i \(0.656356\pi\)
\(194\) −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 \(-0.984542\pi\)
0.998821 0.0485432i \(-0.0154578\pi\)
\(198\) 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 0.125452 + 0.992100i \(0.459962\pi\)
−0.921909 + 0.387405i \(0.873371\pi\)
\(212\) −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 −0.625465 0.780252i \(-0.715091\pi\)
0.362986 + 0.931795i \(0.381757\pi\)
\(224\) 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 0.344118 0.938926i \(-0.388178\pi\)
0.985193 + 0.171448i \(0.0548446\pi\)
\(228\) 1.48615 0.517122i 0.0984229 0.0342472i
\(229\) −6.05063 3.49333i −0.399837 0.230846i 0.286577 0.958057i \(-0.407483\pi\)
−0.686413 + 0.727211i \(0.740816\pi\)
\(230\) 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 0.998120 0.0612833i \(-0.0195193\pi\)
0.445987 + 0.895039i \(0.352853\pi\)
\(240\) 5.47118 + 4.72495i 0.353163 + 0.304994i
\(241\) −5.14460 + 2.97024i −0.331393 + 0.191330i −0.656459 0.754361i \(-0.727947\pi\)
0.325067 + 0.945691i \(0.394613\pi\)
\(242\) 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 −0.792691 0.609624i \(-0.791321\pi\)
0.924295 + 0.381679i \(0.124654\pi\)
\(258\) 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 −0.738913 0.673801i \(-0.764661\pi\)
−0.214072 0.976818i \(-0.568673\pi\)
\(264\) 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 \(-0.945446\pi\)
0.985349 0.170549i \(-0.0545542\pi\)
\(272\) 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 0.876093 0.482142i \(-0.160141\pi\)
−0.855593 + 0.517648i \(0.826808\pi\)
\(278\) 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 0.380778 0.924666i \(-0.375656\pi\)
0.991174 + 0.132569i \(0.0423227\pi\)
\(282\) −10.2192 29.3689i −0.608545 1.74889i
\(283\) −13.9923 + 24.2353i −0.831755 + 1.44064i 0.0648907 + 0.997892i \(0.479330\pi\)
−0.896646 + 0.442749i \(0.854003\pi\)
\(284\) 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 0.393606 0.919279i \(-0.371227\pi\)
−0.599316 + 0.800513i \(0.704561\pi\)
\(294\) −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 \(0.162591\pi\)
−0.872357 + 0.488870i \(0.837409\pi\)
\(308\) 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 −0.805410 0.592717i \(-0.798055\pi\)
0.916014 + 0.401147i \(0.131388\pi\)
\(312\) −0.766169 0.821533i −0.0433758 0.0465101i
\(313\) 5.78100 + 10.0130i 0.326762 + 0.565968i 0.981867 0.189569i \(-0.0607092\pi\)
−0.655106 + 0.755537i \(0.727376\pi\)
\(314\) 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 −0.756891 0.653541i \(-0.773283\pi\)
0.187537 + 0.982258i \(0.439950\pi\)
\(318\) −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 −0.849945 0.526872i \(-0.823365\pi\)
0.0313119 + 0.999510i \(0.490031\pi\)
\(332\) 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 −0.482754 0.875756i \(-0.660363\pi\)
0.999804 0.0198007i \(-0.00630319\pi\)
\(338\) −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 0.344608 + 0.938747i \(0.388012\pi\)
−0.985282 + 0.170934i \(0.945322\pi\)
\(348\) 0.00814813 0.00943499i 0.000436786 0.000505768i
\(349\) 25.2213 14.5615i 1.35006 0.779460i 0.361806 0.932253i \(-0.382160\pi\)
0.988258 + 0.152794i \(0.0488270\pi\)
\(350\) 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 −0.449718 0.893170i \(-0.648476\pi\)
0.548649 + 0.836053i \(0.315142\pi\)
\(354\) 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 \(0.0251295\pi\)
−0.996885 + 0.0788646i \(0.974871\pi\)
\(360\) 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 −0.900623 0.434601i \(-0.856889\pi\)
0.0739360 0.997263i \(-0.476444\pi\)
\(368\) 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 −0.523002 0.852332i \(-0.675188\pi\)
0.999642 + 0.0267670i \(0.00852122\pi\)
\(374\) −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 \(0.187190\pi\)
−0.832011 + 0.554760i \(0.812810\pi\)
\(380\) 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 −0.219577 0.975595i \(-0.570468\pi\)
−0.954679 + 0.297638i \(0.903801\pi\)
\(384\) −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 0.813212 + 0.581968i \(0.197717\pi\)
0.0973928 + 0.995246i \(0.468950\pi\)
\(390\) 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 \(0.117911\pi\)
−0.932172 + 0.362016i \(0.882089\pi\)
\(398\) −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 −0.985906 0.167298i \(-0.946496\pi\)
−0.637838 0.770171i \(-0.720171\pi\)
\(402\) 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 −0.151205 0.988502i \(-0.548315\pi\)
−0.931671 + 0.363304i \(0.881649\pi\)
\(410\) 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 0.0221830 + 0.999754i \(0.492938\pi\)
−0.876904 + 0.480666i \(0.840395\pi\)
\(420\) 4.00158 + 11.5001i 0.195257 + 0.561149i
\(421\) −23.1033 + 13.3387i −1.12599 + 0.650088i −0.942922 0.333013i \(-0.891935\pi\)
−0.183064 + 0.983101i \(0.558601\pi\)
\(422\) 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 \(-0.779654\pi\)
0.769821 0.638260i \(-0.220346\pi\)
\(432\) −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 0.989201 0.146568i \(-0.0468226\pi\)
−0.621532 + 0.783389i \(0.713489\pi\)
\(440\) 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 −0.996340 0.0854802i \(-0.972758\pi\)
0.424142 0.905596i \(-0.360576\pi\)
\(444\) −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 \(-0.833132\pi\)
0.865710 0.500546i \(-0.166868\pi\)
\(450\) −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 −0.389168 0.921167i \(-0.627237\pi\)
0.603170 + 0.797613i \(0.293904\pi\)
\(458\) 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 −0.884206 0.467096i \(-0.845300\pi\)
−0.0375860 + 0.999293i \(0.511967\pi\)
\(462\) 17.5878 + 15.1890i 0.818260 + 0.706656i
\(463\) 12.7675 + 7.37130i 0.593355 + 0.342574i 0.766423 0.642336i \(-0.222035\pi\)
−0.173068 + 0.984910i \(0.555368\pi\)
\(464\) 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 −0.741770 0.670654i \(-0.766013\pi\)
0.209918 + 0.977719i \(0.432680\pi\)
\(480\) −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 \(-0.892943\pi\)
0.943973 0.330024i \(-0.107057\pi\)
\(488\) 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 −0.0409752 0.999160i \(-0.513046\pi\)
0.885786 0.464094i \(-0.153620\pi\)
\(492\) −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 0.992311 0.123768i \(-0.0394979\pi\)
0.388969 + 0.921251i \(0.372831\pi\)
\(500\) −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 0.842045 0.539408i \(-0.181352\pi\)
−0.0461186 + 0.998936i \(0.514685\pi\)
\(510\) −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 \(0.0758592\pi\)
−0.971736 + 0.236069i \(0.924141\pi\)
\(542\) 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 0.945208 + 0.326470i \(0.105859\pi\)
−0.189872 + 0.981809i \(0.560807\pi\)
\(548\) 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 \(-0.931307\pi\)
0.976804 0.214134i \(-0.0686928\pi\)
\(558\) −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 −0.168903 0.985633i \(-0.554023\pi\)
0.938034 0.346542i \(-0.112644\pi\)
\(564\) 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 0.759729 0.650240i \(-0.225331\pi\)
−0.942989 + 0.332825i \(0.891998\pi\)
\(570\) 1.23340 + 1.06518i 0.0516616 + 0.0446153i
\(571\) 10.5346 18.2464i 0.440859 0.763590i −0.556894 0.830583i \(-0.688007\pi\)
0.997753 + 0.0669932i \(0.0213406\pi\)
\(572\) −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 \(-0.836446\pi\)
0.870874 0.491507i \(-0.163554\pi\)
\(578\) 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 −0.461588 0.887094i \(-0.652720\pi\)
0.537452 + 0.843294i \(0.319387\pi\)
\(588\) 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 \(0.0762282\pi\)
−0.971462 + 0.237196i \(0.923772\pi\)
\(594\) −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 −0.0657834 0.997834i \(-0.520955\pi\)
0.897041 0.441947i \(-0.145712\pi\)
\(600\) −0.0584567 + 0.306030i −0.00238648 + 0.0124936i
\(601\) −5.12863 8.88304i −0.209201 0.362347i 0.742262 0.670110i \(-0.233753\pi\)
−0.951463 + 0.307763i \(0.900420\pi\)
\(602\) 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 0.275651 + 0.961258i \(0.411106\pi\)
−0.970299 + 0.241908i \(0.922227\pi\)
\(608\) −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 \(0.429475\pi\)
−0.219752 + 0.975556i \(0.570525\pi\)
\(614\) −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 0.523947 0.851751i \(-0.324459\pi\)
−0.475665 + 0.879627i \(0.657792\pi\)
\(618\) −44.6572 38.5663i −1.79638 1.55136i
\(619\) 11.0458 6.37731i 0.443969 0.256326i −0.261311 0.965255i \(-0.584155\pi\)
0.705280 + 0.708929i \(0.250821\pi\)
\(620\) 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 \(-0.738215\pi\)
0.680449 0.732796i \(-0.261785\pi\)
\(632\) −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 0.794630 0.607094i \(-0.207665\pi\)
−0.923074 + 0.384623i \(0.874331\pi\)
\(642\) −5.39843 + 28.2616i −0.213059 + 1.11540i
\(643\) 18.8197 + 10.8655i 0.742175 + 0.428495i 0.822860 0.568245i \(-0.192377\pi\)
−0.0806847 + 0.996740i \(0.525711\pi\)
\(644\) 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 −0.703445 0.710750i \(-0.748356\pi\)
0.967250 + 0.253826i \(0.0816890\pi\)
\(654\) −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 0.939779 0.341782i \(-0.111031\pi\)
−0.765882 + 0.642981i \(0.777697\pi\)
\(660\) −2.00240 5.75468i −0.0779433 0.224001i
\(661\) −28.3029 16.3407i −1.10085 0.635579i −0.164409 0.986392i \(-0.552572\pi\)
−0.936445 + 0.350813i \(0.885905\pi\)
\(662\) 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 0.935443 + 0.353477i \(0.115001\pi\)
−0.161602 + 0.986856i \(0.551666\pi\)
\(674\) 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 0.954624 + 0.297814i \(0.0962577\pi\)
−0.219397 + 0.975636i \(0.570409\pi\)
\(678\) −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 \(0.115485\pi\)
−0.934904 + 0.354901i \(0.884515\pi\)
\(684\) −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 0.477862 0.878435i \(-0.341412\pi\)
0.999678 + 0.0253767i \(0.00807852\pi\)
\(692\) 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 −0.320001 0.947417i \(-0.603683\pi\)
0.660487 + 0.750837i \(0.270350\pi\)
\(710\) 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 0.889750 + 0.456448i \(0.150879\pi\)
−0.0495795 + 0.998770i \(0.515788\pi\)
\(728\) −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 0.493374 0.869818i \(-0.335764\pi\)
−0.506597 + 0.862183i \(0.669097\pi\)
\(734\) 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 \(-0.947128\pi\)
0.986237 0.165339i \(-0.0528718\pi\)
\(740\) −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 0.622315 0.782767i \(-0.286192\pi\)
−0.366739 + 0.930324i \(0.619526\pi\)
\(744\) −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 −0.926445 0.376430i \(-0.877152\pi\)
0.789220 + 0.614110i \(0.210485\pi\)
\(752\) 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 0.279606 0.960115i \(-0.409796\pi\)
−0.691681 + 0.722203i \(0.743129\pi\)
\(762\) 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 0.983162 0.182734i \(-0.0584947\pi\)
0.333329 + 0.942811i \(0.391828\pi\)
\(770\) −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 \(-0.983323\pi\)
0.998628 0.0523671i \(-0.0166766\pi\)
\(774\) −4.81323 + 12.1393i &minus