Properties

Label 76.2.f.a.27.1
Level $76$
Weight $2$
Character 76.27
Analytic conductor $0.607$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.f (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(8\) over \(\Q(\zeta_{6})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \(x^{16} - 3 x^{15} + 6 x^{14} - 9 x^{13} + 12 x^{12} - 9 x^{11} + 3 x^{10} + 6 x^{9} - 10 x^{8} + 12 x^{7} + 12 x^{6} - 72 x^{5} + 192 x^{4} - 288 x^{3} + 384 x^{2} - 384 x + 256\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 27.1
Root \(1.05003 - 0.947334i\) of defining polynomial
Character \(\chi\) \(=\) 76.27
Dual form 76.2.f.a.31.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.34543 - 0.435684i) q^{2} +(0.982349 - 1.70148i) q^{3} +(1.62036 + 1.17236i) q^{4} +(-0.349646 + 0.605604i) q^{5} +(-2.06299 + 1.86122i) q^{6} -3.80025i q^{7} +(-1.66930 - 2.28330i) q^{8} +(-0.430019 - 0.744815i) q^{9} +O(q^{10})\) \(q+(-1.34543 - 0.435684i) q^{2} +(0.982349 - 1.70148i) q^{3} +(1.62036 + 1.17236i) q^{4} +(-0.349646 + 0.605604i) q^{5} +(-2.06299 + 1.86122i) q^{6} -3.80025i q^{7} +(-1.66930 - 2.28330i) q^{8} +(-0.430019 - 0.744815i) q^{9} +(0.734275 - 0.662462i) q^{10} +2.16607i q^{11} +(3.58651 - 1.60533i) q^{12} +(1.16473 - 0.672457i) q^{13} +(-1.65571 + 5.11296i) q^{14} +(0.686948 + 1.18983i) q^{15} +(1.25112 + 3.79930i) q^{16} +(-1.89546 + 3.28303i) q^{17} +(0.254056 + 1.18945i) q^{18} +(1.62181 + 4.04595i) q^{19} +(-1.27654 + 0.571384i) q^{20} +(-6.46604 - 3.73317i) q^{21} +(0.943721 - 2.91429i) q^{22} +(-4.89133 + 2.82401i) q^{23} +(-5.52481 + 0.597278i) q^{24} +(2.25550 + 3.90663i) q^{25} +(-1.86004 + 0.397289i) q^{26} +4.20438 q^{27} +(4.45527 - 6.15776i) q^{28} +(8.65155 - 4.99498i) q^{29} +(-0.405850 - 1.90012i) q^{30} -7.76382 q^{31} +(-0.0280040 - 5.65678i) q^{32} +(3.68552 + 2.12783i) q^{33} +(3.98057 - 3.59126i) q^{34} +(2.30144 + 1.32874i) q^{35} +(0.176409 - 1.71101i) q^{36} +1.31241i q^{37} +(-0.419276 - 6.15014i) q^{38} -2.64235i q^{39} +(1.96644 - 0.212588i) q^{40} +(-7.58097 - 4.37688i) q^{41} +(7.07311 + 7.83986i) q^{42} +(-5.35195 - 3.08995i) q^{43} +(-2.53942 + 3.50980i) q^{44} +0.601418 q^{45} +(7.81131 - 1.66843i) q^{46} +(2.06084 - 1.18983i) q^{47} +(7.69347 + 1.60348i) q^{48} -7.44187 q^{49} +(-1.33255 - 6.23878i) q^{50} +(3.72400 + 6.45016i) q^{51} +(2.67564 + 0.275866i) q^{52} +(-5.41710 + 3.12756i) q^{53} +(-5.65669 - 1.83178i) q^{54} +(-1.31178 - 0.757356i) q^{55} +(-8.67709 + 6.34374i) q^{56} +(8.47729 + 1.21506i) q^{57} +(-13.8163 + 2.95104i) q^{58} +(3.28379 - 5.68770i) q^{59} +(-0.281811 + 2.73330i) q^{60} +(-0.951063 - 1.64729i) q^{61} +(10.4457 + 3.38257i) q^{62} +(-2.83048 + 1.63418i) q^{63} +(-2.42689 + 7.62300i) q^{64} +0.940486i q^{65} +(-4.03154 - 4.46857i) q^{66} +(2.69299 + 4.66440i) q^{67} +(-6.92022 + 3.09752i) q^{68} +11.0966i q^{69} +(-2.51752 - 2.79043i) q^{70} +(2.60416 - 4.51054i) q^{71} +(-0.982805 + 2.22518i) q^{72} +(4.86089 - 8.41932i) q^{73} +(0.571795 - 1.76575i) q^{74} +8.86274 q^{75} +(-2.11541 + 8.45725i) q^{76} +8.23158 q^{77} +(-1.15123 + 3.55509i) q^{78} +(-3.38726 + 5.86690i) q^{79} +(-2.73832 - 0.570723i) q^{80} +(5.42022 - 9.38810i) q^{81} +(8.29272 + 9.19169i) q^{82} +1.55519i q^{83} +(-6.10067 - 13.6296i) q^{84} +(-1.32548 - 2.29579i) q^{85} +(5.85443 + 6.48907i) q^{86} -19.6272i q^{87} +(4.94577 - 3.61581i) q^{88} +(-1.43400 + 0.827921i) q^{89} +(-0.809165 - 0.262028i) q^{90} +(-2.55550 - 4.42626i) q^{91} +(-11.2365 - 1.15851i) q^{92} +(-7.62678 + 13.2100i) q^{93} +(-3.29111 + 0.702953i) q^{94} +(-3.01730 - 0.432473i) q^{95} +(-9.65241 - 5.50929i) q^{96} +(-9.10261 - 5.25540i) q^{97} +(10.0125 + 3.24230i) q^{98} +(1.61332 - 0.931451i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} + O(q^{10}) \) \( 16q - 3q^{2} - 3q^{4} - 2q^{5} + 5q^{6} - 4q^{9} - 6q^{10} - 18q^{13} - 6q^{14} - 3q^{16} + 2q^{17} + 4q^{20} + 3q^{22} - 23q^{24} - 2q^{25} - 24q^{26} - 4q^{28} - 6q^{29} + 28q^{30} + 27q^{32} + 18q^{33} + 36q^{34} + 14q^{36} - 24q^{38} + 48q^{40} - 48q^{41} + 28q^{42} - 25q^{44} + 24q^{45} + 9q^{48} + 16q^{49} + 6q^{52} + 6q^{53} + 17q^{54} - 26q^{57} - 40q^{58} - 6q^{60} - 26q^{61} + 32q^{62} - 18q^{64} + 5q^{66} - 36q^{68} - 54q^{70} - 66q^{72} + 16q^{73} - 2q^{74} + 43q^{76} + 80q^{77} - 84q^{78} - 30q^{80} + 12q^{81} + 11q^{82} + 14q^{85} - 48q^{86} + 18q^{89} - 18q^{90} - 52q^{92} - 20q^{93} + 46q^{96} - 12q^{97} + 51q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.34543 0.435684i −0.951362 0.308075i
\(3\) 0.982349 1.70148i 0.567160 0.982349i −0.429686 0.902979i \(-0.641376\pi\)
0.996845 0.0793705i \(-0.0252910\pi\)
\(4\) 1.62036 + 1.17236i 0.810179 + 0.586182i
\(5\) −0.349646 + 0.605604i −0.156366 + 0.270834i −0.933556 0.358432i \(-0.883311\pi\)
0.777189 + 0.629267i \(0.216645\pi\)
\(6\) −2.06299 + 1.86122i −0.842211 + 0.759842i
\(7\) 3.80025i 1.43636i −0.695858 0.718179i \(-0.744976\pi\)
0.695858 0.718179i \(-0.255024\pi\)
\(8\) −1.66930 2.28330i −0.590186 0.807268i
\(9\) −0.430019 0.744815i −0.143340 0.248272i
\(10\) 0.734275 0.662462i 0.232198 0.209489i
\(11\) 2.16607i 0.653094i 0.945181 + 0.326547i \(0.105885\pi\)
−0.945181 + 0.326547i \(0.894115\pi\)
\(12\) 3.58651 1.60533i 1.03534 0.463420i
\(13\) 1.16473 0.672457i 0.323038 0.186506i −0.329708 0.944083i \(-0.606950\pi\)
0.652746 + 0.757577i \(0.273617\pi\)
\(14\) −1.65571 + 5.11296i −0.442506 + 1.36650i
\(15\) 0.686948 + 1.18983i 0.177369 + 0.307213i
\(16\) 1.25112 + 3.79930i 0.312781 + 0.949825i
\(17\) −1.89546 + 3.28303i −0.459716 + 0.796251i −0.998946 0.0459074i \(-0.985382\pi\)
0.539230 + 0.842159i \(0.318715\pi\)
\(18\) 0.254056 + 1.18945i 0.0598816 + 0.280356i
\(19\) 1.62181 + 4.04595i 0.372069 + 0.928205i
\(20\) −1.27654 + 0.571384i −0.285443 + 0.127765i
\(21\) −6.46604 3.73317i −1.41100 0.814644i
\(22\) 0.943721 2.91429i 0.201202 0.621328i
\(23\) −4.89133 + 2.82401i −1.01991 + 0.588846i −0.914078 0.405537i \(-0.867084\pi\)
−0.105834 + 0.994384i \(0.533751\pi\)
\(24\) −5.52481 + 0.597278i −1.12775 + 0.121919i
\(25\) 2.25550 + 3.90663i 0.451099 + 0.781327i
\(26\) −1.86004 + 0.397289i −0.364784 + 0.0779147i
\(27\) 4.20438 0.809133
\(28\) 4.45527 6.15776i 0.841967 1.16371i
\(29\) 8.65155 4.99498i 1.60655 0.927544i 0.616419 0.787418i \(-0.288583\pi\)
0.990134 0.140125i \(-0.0447506\pi\)
\(30\) −0.405850 1.90012i −0.0740978 0.346913i
\(31\) −7.76382 −1.39442 −0.697212 0.716865i \(-0.745576\pi\)
−0.697212 + 0.716865i \(0.745576\pi\)
\(32\) −0.0280040 5.65678i −0.00495045 0.999988i
\(33\) 3.68552 + 2.12783i 0.641566 + 0.370408i
\(34\) 3.98057 3.59126i 0.682661 0.615896i
\(35\) 2.30144 + 1.32874i 0.389015 + 0.224598i
\(36\) 0.176409 1.71101i 0.0294015 0.285168i
\(37\) 1.31241i 0.215759i 0.994164 + 0.107879i \(0.0344060\pi\)
−0.994164 + 0.107879i \(0.965594\pi\)
\(38\) −0.419276 6.15014i −0.0680156 0.997684i
\(39\) 2.64235i 0.423114i
\(40\) 1.96644 0.212588i 0.310921 0.0336131i
\(41\) −7.58097 4.37688i −1.18395 0.683553i −0.227024 0.973889i \(-0.572900\pi\)
−0.956925 + 0.290336i \(0.906233\pi\)
\(42\) 7.07311 + 7.83986i 1.09140 + 1.20972i
\(43\) −5.35195 3.08995i −0.816165 0.471213i 0.0329270 0.999458i \(-0.489517\pi\)
−0.849092 + 0.528245i \(0.822850\pi\)
\(44\) −2.53942 + 3.50980i −0.382832 + 0.529123i
\(45\) 0.601418 0.0896540
\(46\) 7.81131 1.66843i 1.15171 0.245997i
\(47\) 2.06084 1.18983i 0.300605 0.173554i −0.342110 0.939660i \(-0.611141\pi\)
0.642715 + 0.766106i \(0.277808\pi\)
\(48\) 7.69347 + 1.60348i 1.11046 + 0.231442i
\(49\) −7.44187 −1.06312
\(50\) −1.33255 6.23878i −0.188451 0.882297i
\(51\) 3.72400 + 6.45016i 0.521464 + 0.903203i
\(52\) 2.67564 + 0.275866i 0.371045 + 0.0382557i
\(53\) −5.41710 + 3.12756i −0.744096 + 0.429604i −0.823557 0.567234i \(-0.808013\pi\)
0.0794608 + 0.996838i \(0.474680\pi\)
\(54\) −5.65669 1.83178i −0.769778 0.249274i
\(55\) −1.31178 0.757356i −0.176880 0.102122i
\(56\) −8.67709 + 6.34374i −1.15953 + 0.847718i
\(57\) 8.47729 + 1.21506i 1.12284 + 0.160938i
\(58\) −13.8163 + 2.95104i −1.81417 + 0.387491i
\(59\) 3.28379 5.68770i 0.427513 0.740475i −0.569138 0.822242i \(-0.692723\pi\)
0.996651 + 0.0817670i \(0.0260563\pi\)
\(60\) −0.281811 + 2.73330i −0.0363816 + 0.352868i
\(61\) −0.951063 1.64729i −0.121771 0.210914i 0.798695 0.601736i \(-0.205524\pi\)
−0.920466 + 0.390822i \(0.872191\pi\)
\(62\) 10.4457 + 3.38257i 1.32660 + 0.429587i
\(63\) −2.83048 + 1.63418i −0.356607 + 0.205887i
\(64\) −2.42689 + 7.62300i −0.303362 + 0.952875i
\(65\) 0.940486i 0.116653i
\(66\) −4.03154 4.46857i −0.496248 0.550043i
\(67\) 2.69299 + 4.66440i 0.329001 + 0.569847i 0.982314 0.187241i \(-0.0599546\pi\)
−0.653313 + 0.757088i \(0.726621\pi\)
\(68\) −6.92022 + 3.09752i −0.839201 + 0.375629i
\(69\) 11.0966i 1.33588i
\(70\) −2.51752 2.79043i −0.300901 0.333520i
\(71\) 2.60416 4.51054i 0.309057 0.535303i −0.669099 0.743173i \(-0.733320\pi\)
0.978156 + 0.207870i \(0.0666533\pi\)
\(72\) −0.982805 + 2.22518i −0.115825 + 0.262240i
\(73\) 4.86089 8.41932i 0.568925 0.985406i −0.427748 0.903898i \(-0.640693\pi\)
0.996673 0.0815084i \(-0.0259738\pi\)
\(74\) 0.571795 1.76575i 0.0664698 0.205264i
\(75\) 8.86274 1.02338
\(76\) −2.11541 + 8.45725i −0.242654 + 0.970113i
\(77\) 8.23158 0.938076
\(78\) −1.15123 + 3.55509i −0.130351 + 0.402535i
\(79\) −3.38726 + 5.86690i −0.381096 + 0.660078i −0.991219 0.132229i \(-0.957787\pi\)
0.610123 + 0.792307i \(0.291120\pi\)
\(80\) −2.73832 0.570723i −0.306154 0.0638088i
\(81\) 5.42022 9.38810i 0.602247 1.04312i
\(82\) 8.29272 + 9.19169i 0.915778 + 1.01505i
\(83\) 1.55519i 0.170704i 0.996351 + 0.0853519i \(0.0272015\pi\)
−0.996351 + 0.0853519i \(0.972799\pi\)
\(84\) −6.10067 13.6296i −0.665637 1.48711i
\(85\) −1.32548 2.29579i −0.143768 0.249014i
\(86\) 5.85443 + 6.48907i 0.631300 + 0.699735i
\(87\) 19.6272i 2.10426i
\(88\) 4.94577 3.61581i 0.527221 0.385446i
\(89\) −1.43400 + 0.827921i −0.152004 + 0.0877594i −0.574073 0.818804i \(-0.694637\pi\)
0.422069 + 0.906564i \(0.361304\pi\)
\(90\) −0.809165 0.262028i −0.0852934 0.0276202i
\(91\) −2.55550 4.42626i −0.267889 0.463998i
\(92\) −11.2365 1.15851i −1.17148 0.120783i
\(93\) −7.62678 + 13.2100i −0.790861 + 1.36981i
\(94\) −3.29111 + 0.702953i −0.339452 + 0.0725041i
\(95\) −3.01730 0.432473i −0.309569 0.0443708i
\(96\) −9.65241 5.50929i −0.985145 0.562289i
\(97\) −9.10261 5.25540i −0.924231 0.533605i −0.0392483 0.999229i \(-0.512496\pi\)
−0.884982 + 0.465625i \(0.845830\pi\)
\(98\) 10.0125 + 3.24230i 1.01142 + 0.327522i
\(99\) 1.61332 0.931451i 0.162145 0.0936143i
\(100\) −0.925285 + 8.97441i −0.0925285 + 0.897441i
\(101\) 3.44127 + 5.96045i 0.342419 + 0.593087i 0.984881 0.173230i \(-0.0554204\pi\)
−0.642462 + 0.766317i \(0.722087\pi\)
\(102\) −2.20015 10.3007i −0.217847 1.01992i
\(103\) −9.04040 −0.890777 −0.445388 0.895337i \(-0.646934\pi\)
−0.445388 + 0.895337i \(0.646934\pi\)
\(104\) −3.47970 1.53689i −0.341212 0.150705i
\(105\) 4.52164 2.61057i 0.441267 0.254766i
\(106\) 8.65095 1.84777i 0.840255 0.179471i
\(107\) 10.8012 1.04419 0.522097 0.852886i \(-0.325150\pi\)
0.522097 + 0.852886i \(0.325150\pi\)
\(108\) 6.81260 + 4.92906i 0.655543 + 0.474299i
\(109\) −3.93314 2.27080i −0.376727 0.217503i 0.299666 0.954044i \(-0.403125\pi\)
−0.676393 + 0.736541i \(0.736458\pi\)
\(110\) 1.43494 + 1.59049i 0.136816 + 0.151647i
\(111\) 2.23303 + 1.28924i 0.211950 + 0.122369i
\(112\) 14.4383 4.75458i 1.36429 0.449266i
\(113\) 3.21398i 0.302346i 0.988507 + 0.151173i \(0.0483050\pi\)
−0.988507 + 0.151173i \(0.951695\pi\)
\(114\) −10.8762 5.32819i −1.01865 0.499031i
\(115\) 3.94961i 0.368303i
\(116\) 19.8745 + 2.04912i 1.84531 + 0.190256i
\(117\) −1.00171 0.578339i −0.0926083 0.0534674i
\(118\) −6.89615 + 6.22170i −0.634842 + 0.572753i
\(119\) 12.4763 + 7.20320i 1.14370 + 0.660317i
\(120\) 1.57001 3.55468i 0.143322 0.324497i
\(121\) 6.30816 0.573469
\(122\) 0.561890 + 2.63067i 0.0508711 + 0.238170i
\(123\) −14.8943 + 8.59924i −1.34298 + 0.775367i
\(124\) −12.5802 9.10203i −1.12973 0.817386i
\(125\) −6.65095 −0.594879
\(126\) 4.52020 0.965476i 0.402691 0.0860115i
\(127\) 1.91604 + 3.31867i 0.170021 + 0.294485i 0.938427 0.345478i \(-0.112283\pi\)
−0.768406 + 0.639963i \(0.778950\pi\)
\(128\) 6.58644 9.19885i 0.582164 0.813071i
\(129\) −10.5150 + 6.07082i −0.925792 + 0.534506i
\(130\) 0.409755 1.26536i 0.0359379 0.110979i
\(131\) −9.15931 5.28813i −0.800253 0.462026i 0.0433066 0.999062i \(-0.486211\pi\)
−0.843560 + 0.537036i \(0.819544\pi\)
\(132\) 3.47726 + 7.76862i 0.302657 + 0.676172i
\(133\) 15.3756 6.16328i 1.33323 0.534425i
\(134\) −1.59102 7.44891i −0.137444 0.643488i
\(135\) −1.47004 + 2.54619i −0.126521 + 0.219141i
\(136\) 10.6602 1.15246i 0.914106 0.0988224i
\(137\) −5.52875 9.57607i −0.472353 0.818139i 0.527147 0.849774i \(-0.323262\pi\)
−0.999499 + 0.0316351i \(0.989929\pi\)
\(138\) 4.83463 14.9298i 0.411551 1.27090i
\(139\) 3.10613 1.79333i 0.263459 0.152108i −0.362453 0.932002i \(-0.618061\pi\)
0.625911 + 0.779894i \(0.284727\pi\)
\(140\) 2.17140 + 4.85116i 0.183517 + 0.409998i
\(141\) 4.67531i 0.393732i
\(142\) −5.46888 + 4.93402i −0.458939 + 0.414054i
\(143\) 1.45659 + 2.52288i 0.121806 + 0.210974i
\(144\) 2.29177 2.56563i 0.190981 0.213802i
\(145\) 6.98589i 0.580146i
\(146\) −10.2082 + 9.20978i −0.844833 + 0.762207i
\(147\) −7.31051 + 12.6622i −0.602961 + 1.04436i
\(148\) −1.53862 + 2.12657i −0.126474 + 0.174803i
\(149\) 6.79151 11.7632i 0.556382 0.963683i −0.441412 0.897304i \(-0.645522\pi\)
0.997795 0.0663781i \(-0.0211444\pi\)
\(150\) −11.9242 3.86135i −0.973606 0.315278i
\(151\) −17.1888 −1.39880 −0.699402 0.714728i \(-0.746550\pi\)
−0.699402 + 0.714728i \(0.746550\pi\)
\(152\) 6.53082 10.4570i 0.529720 0.848173i
\(153\) 3.26033 0.263582
\(154\) −11.0750 3.58637i −0.892450 0.288998i
\(155\) 2.71459 4.70180i 0.218041 0.377658i
\(156\) 3.09779 4.28155i 0.248022 0.342799i
\(157\) 0.626185 1.08458i 0.0499750 0.0865593i −0.839956 0.542655i \(-0.817419\pi\)
0.889931 + 0.456096i \(0.150752\pi\)
\(158\) 7.11343 6.41772i 0.565914 0.510567i
\(159\) 12.2894i 0.974616i
\(160\) 3.43556 + 1.96091i 0.271605 + 0.155024i
\(161\) 10.7319 + 18.5882i 0.845794 + 1.46496i
\(162\) −11.3828 + 10.2695i −0.894315 + 0.806850i
\(163\) 24.6001i 1.92683i 0.268010 + 0.963416i \(0.413634\pi\)
−0.268010 + 0.963416i \(0.586366\pi\)
\(164\) −7.15260 15.9798i −0.558524 1.24781i
\(165\) −2.57725 + 1.48798i −0.200639 + 0.115839i
\(166\) 0.677570 2.09239i 0.0525896 0.162401i
\(167\) −0.817122 1.41530i −0.0632308 0.109519i 0.832677 0.553759i \(-0.186807\pi\)
−0.895908 + 0.444240i \(0.853474\pi\)
\(168\) 2.26980 + 20.9957i 0.175119 + 1.61985i
\(169\) −5.59560 + 9.69187i −0.430431 + 0.745529i
\(170\) 0.783094 + 3.66632i 0.0600606 + 0.281194i
\(171\) 2.31608 2.94779i 0.177115 0.225423i
\(172\) −5.04954 11.2813i −0.385023 0.860189i
\(173\) −4.04607 2.33600i −0.307617 0.177603i 0.338243 0.941059i \(-0.390168\pi\)
−0.645860 + 0.763456i \(0.723501\pi\)
\(174\) −8.55128 + 26.4071i −0.648271 + 2.00191i
\(175\) 14.8462 8.57144i 1.12226 0.647940i
\(176\) −8.22954 + 2.71002i −0.620325 + 0.204275i
\(177\) −6.45166 11.1746i −0.484937 0.839935i
\(178\) 2.29006 0.489137i 0.171647 0.0366624i
\(179\) 8.18925 0.612093 0.306046 0.952017i \(-0.400994\pi\)
0.306046 + 0.952017i \(0.400994\pi\)
\(180\) 0.974512 + 0.705080i 0.0726358 + 0.0525536i
\(181\) −16.5611 + 9.56157i −1.23098 + 0.710706i −0.967234 0.253887i \(-0.918291\pi\)
−0.263745 + 0.964592i \(0.584958\pi\)
\(182\) 1.50979 + 7.06860i 0.111913 + 0.523960i
\(183\) −3.73710 −0.276255
\(184\) 14.6131 + 6.45424i 1.07729 + 0.475813i
\(185\) −0.794799 0.458878i −0.0584348 0.0337374i
\(186\) 16.0167 14.4502i 1.17440 1.05954i
\(187\) −7.11126 4.10569i −0.520027 0.300237i
\(188\) 4.73422 + 0.488110i 0.345278 + 0.0355991i
\(189\) 15.9777i 1.16220i
\(190\) 3.87115 + 1.89645i 0.280842 + 0.137583i
\(191\) 22.9897i 1.66348i 0.555167 + 0.831739i \(0.312654\pi\)
−0.555167 + 0.831739i \(0.687346\pi\)
\(192\) 10.5863 + 11.6178i 0.764002 + 0.838440i
\(193\) −5.10454 2.94711i −0.367433 0.212138i 0.304903 0.952383i \(-0.401376\pi\)
−0.672336 + 0.740246i \(0.734709\pi\)
\(194\) 9.95723 + 11.0366i 0.714887 + 0.792384i
\(195\) 1.60022 + 0.923885i 0.114594 + 0.0661608i
\(196\) −12.0585 8.72458i −0.861321 0.623184i
\(197\) 2.51151 0.178937 0.0894687 0.995990i \(-0.471483\pi\)
0.0894687 + 0.995990i \(0.471483\pi\)
\(198\) −2.57643 + 0.550303i −0.183099 + 0.0391083i
\(199\) 22.4312 12.9506i 1.59010 0.918046i 0.596814 0.802379i \(-0.296433\pi\)
0.993288 0.115667i \(-0.0369004\pi\)
\(200\) 5.15491 11.6713i 0.364507 0.825286i
\(201\) 10.5818 0.746385
\(202\) −2.03311 9.51867i −0.143049 0.669731i
\(203\) −18.9821 32.8780i −1.33228 2.30758i
\(204\) −1.52772 + 14.8175i −0.106962 + 1.03743i
\(205\) 5.30131 3.06071i 0.370259 0.213769i
\(206\) 12.1632 + 3.93876i 0.847451 + 0.274426i
\(207\) 4.20673 + 2.42876i 0.292388 + 0.168810i
\(208\) 4.01209 + 3.58383i 0.278188 + 0.248494i
\(209\) −8.76380 + 3.51295i −0.606205 + 0.242996i
\(210\) −7.22093 + 1.54233i −0.498292 + 0.106431i
\(211\) 4.82292 8.35354i 0.332023 0.575081i −0.650885 0.759176i \(-0.725602\pi\)
0.982908 + 0.184095i \(0.0589354\pi\)
\(212\) −12.4443 1.28304i −0.854677 0.0881194i
\(213\) −5.11639 8.86185i −0.350569 0.607204i
\(214\) −14.5323 4.70592i −0.993407 0.321690i
\(215\) 3.74257 2.16078i 0.255241 0.147364i
\(216\) −7.01836 9.59984i −0.477539 0.653187i
\(217\) 29.5044i 2.00289i
\(218\) 4.30241 + 4.76881i 0.291396 + 0.322985i
\(219\) −9.55019 16.5414i −0.645342 1.11777i
\(220\) −1.23765 2.76507i −0.0834427 0.186421i
\(221\) 5.09845i 0.342959i
\(222\) −2.44269 2.70748i −0.163942 0.181714i
\(223\) 6.58104 11.3987i 0.440699 0.763313i −0.557042 0.830484i \(-0.688064\pi\)
0.997741 + 0.0671707i \(0.0213972\pi\)
\(224\) −21.4972 + 0.106422i −1.43634 + 0.00711062i
\(225\) 1.93981 3.35986i 0.129321 0.223990i
\(226\) 1.40028 4.32418i 0.0931453 0.287640i
\(227\) −11.2971 −0.749812 −0.374906 0.927063i \(-0.622325\pi\)
−0.374906 + 0.927063i \(0.622325\pi\)
\(228\) 12.3118 + 11.9073i 0.815366 + 0.788580i
\(229\) 19.7651 1.30611 0.653056 0.757309i \(-0.273486\pi\)
0.653056 + 0.757309i \(0.273486\pi\)
\(230\) −1.72078 + 5.31392i −0.113465 + 0.350389i
\(231\) 8.08629 14.0059i 0.532039 0.921518i
\(232\) −25.8470 11.4160i −1.69694 0.749495i
\(233\) 1.67765 2.90577i 0.109906 0.190364i −0.805826 0.592153i \(-0.798278\pi\)
0.915732 + 0.401789i \(0.131612\pi\)
\(234\) 1.09576 + 1.21454i 0.0716320 + 0.0793972i
\(235\) 1.66407i 0.108552i
\(236\) 11.9890 5.36631i 0.780416 0.349317i
\(237\) 6.65493 + 11.5267i 0.432284 + 0.748739i
\(238\) −13.6477 15.1271i −0.884647 0.980546i
\(239\) 3.63575i 0.235177i 0.993062 + 0.117589i \(0.0375164\pi\)
−0.993062 + 0.117589i \(0.962484\pi\)
\(240\) −3.66106 + 4.09855i −0.236320 + 0.264560i
\(241\) 20.5264 11.8509i 1.32222 0.763384i 0.338138 0.941097i \(-0.390203\pi\)
0.984083 + 0.177712i \(0.0568696\pi\)
\(242\) −8.48718 2.74836i −0.545576 0.176672i
\(243\) −4.34254 7.52150i −0.278574 0.482504i
\(244\) 0.390160 3.78419i 0.0249774 0.242258i
\(245\) 2.60202 4.50682i 0.166237 0.287930i
\(246\) 23.7858 5.08045i 1.51653 0.323918i
\(247\) 4.60970 + 3.62184i 0.293308 + 0.230452i
\(248\) 12.9601 + 17.7271i 0.822969 + 1.12567i
\(249\) 2.64612 + 1.52774i 0.167691 + 0.0968163i
\(250\) 8.94839 + 2.89771i 0.565946 + 0.183268i
\(251\) 9.84744 5.68542i 0.621565 0.358861i −0.155913 0.987771i \(-0.549832\pi\)
0.777478 + 0.628910i \(0.216499\pi\)
\(252\) −6.50225 0.670399i −0.409603 0.0422311i
\(253\) −6.11699 10.5949i −0.384572 0.666098i
\(254\) −1.13200 5.29983i −0.0710279 0.332541i
\(255\) −5.20832 −0.326158
\(256\) −12.8694 + 9.50680i −0.804336 + 0.594175i
\(257\) 4.63727 2.67733i 0.289265 0.167007i −0.348345 0.937366i \(-0.613256\pi\)
0.637610 + 0.770359i \(0.279923\pi\)
\(258\) 16.7921 3.58665i 1.04543 0.223295i
\(259\) 4.98747 0.309906
\(260\) −1.10259 + 1.52392i −0.0683799 + 0.0945098i
\(261\) −7.44067 4.29587i −0.460566 0.265908i
\(262\) 10.0193 + 11.1054i 0.618991 + 0.686092i
\(263\) 3.60012 + 2.07853i 0.221993 + 0.128168i 0.606873 0.794799i \(-0.292424\pi\)
−0.384880 + 0.922967i \(0.625757\pi\)
\(264\) −1.29374 11.9671i −0.0796244 0.736525i
\(265\) 4.37416i 0.268702i
\(266\) −23.3720 + 1.59335i −1.43303 + 0.0976947i
\(267\) 3.25323i 0.199094i
\(268\) −1.10476 + 10.7152i −0.0674840 + 0.654533i
\(269\) 7.70327 + 4.44749i 0.469677 + 0.271168i 0.716104 0.697993i \(-0.245923\pi\)
−0.246428 + 0.969161i \(0.579257\pi\)
\(270\) 3.08717 2.78524i 0.187879 0.169504i
\(271\) 6.29378 + 3.63372i 0.382320 + 0.220733i 0.678827 0.734298i \(-0.262489\pi\)
−0.296507 + 0.955031i \(0.595822\pi\)
\(272\) −14.8447 3.09394i −0.900090 0.187597i
\(273\) −10.0416 −0.607744
\(274\) 3.26640 + 15.2927i 0.197330 + 0.923867i
\(275\) −8.46203 + 4.88555i −0.510279 + 0.294610i
\(276\) −13.0093 + 17.9805i −0.783069 + 1.08230i
\(277\) −8.19001 −0.492090 −0.246045 0.969258i \(-0.579131\pi\)
−0.246045 + 0.969258i \(0.579131\pi\)
\(278\) −4.96041 + 1.05950i −0.297505 + 0.0635447i
\(279\) 3.33859 + 5.78261i 0.199876 + 0.346196i
\(280\) −0.807887 7.47294i −0.0482805 0.446594i
\(281\) −10.8126 + 6.24263i −0.645023 + 0.372404i −0.786547 0.617531i \(-0.788133\pi\)
0.141524 + 0.989935i \(0.454800\pi\)
\(282\) −2.03696 + 6.29030i −0.121299 + 0.374582i
\(283\) 13.8841 + 8.01598i 0.825323 + 0.476501i 0.852249 0.523137i \(-0.175238\pi\)
−0.0269255 + 0.999637i \(0.508572\pi\)
\(284\) 9.50767 4.25567i 0.564176 0.252527i
\(285\) −3.69989 + 4.70904i −0.219163 + 0.278939i
\(286\) −0.860554 4.02897i −0.0508856 0.238238i
\(287\) −16.6332 + 28.8096i −0.981827 + 1.70057i
\(288\) −4.20122 + 2.45339i −0.247559 + 0.144567i
\(289\) 1.31448 + 2.27675i 0.0773226 + 0.133927i
\(290\) 3.04364 9.39901i 0.178729 0.551929i
\(291\) −17.8839 + 10.3253i −1.04837 + 0.605278i
\(292\) 17.7469 7.94357i 1.03856 0.464863i
\(293\) 7.78620i 0.454875i −0.973793 0.227437i \(-0.926965\pi\)
0.973793 0.227437i \(-0.0730347\pi\)
\(294\) 15.3525 13.8510i 0.895375 0.807806i
\(295\) 2.29633 + 3.97736i 0.133697 + 0.231571i
\(296\) 2.99662 2.19080i 0.174175 0.127338i
\(297\) 9.10696i 0.528439i
\(298\) −14.2626 + 12.8677i −0.826208 + 0.745403i
\(299\) −3.79805 + 6.57841i −0.219647 + 0.380439i
\(300\) 14.3608 + 10.3904i 0.829122 + 0.599887i
\(301\) −11.7426 + 20.3387i −0.676831 + 1.17231i
\(302\) 23.1263 + 7.48889i 1.33077 + 0.430937i
\(303\) 13.5221 0.776825
\(304\) −13.3427 + 11.2237i −0.765256 + 0.643726i
\(305\) 1.33014 0.0761636
\(306\) −4.38655 1.42048i −0.250762 0.0812032i
\(307\) −1.14144 + 1.97702i −0.0651452 + 0.112835i −0.896758 0.442521i \(-0.854084\pi\)
0.831613 + 0.555355i \(0.187418\pi\)
\(308\) 13.3381 + 9.65041i 0.760010 + 0.549883i
\(309\) −8.88083 + 15.3820i −0.505212 + 0.875054i
\(310\) −5.70078 + 5.14324i −0.323783 + 0.292116i
\(311\) 10.6062i 0.601420i −0.953716 0.300710i \(-0.902776\pi\)
0.953716 0.300710i \(-0.0972236\pi\)
\(312\) −6.03327 + 4.41086i −0.341566 + 0.249716i
\(313\) −16.9600 29.3755i −0.958634 1.66040i −0.725824 0.687880i \(-0.758541\pi\)
−0.232810 0.972522i \(-0.574792\pi\)
\(314\) −1.31502 + 1.18641i −0.0742111 + 0.0669531i
\(315\) 2.28553i 0.128775i
\(316\) −12.3667 + 5.53538i −0.695682 + 0.311390i
\(317\) −19.2080 + 11.0898i −1.07883 + 0.622863i −0.930580 0.366088i \(-0.880697\pi\)
−0.148249 + 0.988950i \(0.547364\pi\)
\(318\) 5.35431 16.5346i 0.300255 0.927212i
\(319\) 10.8194 + 18.7398i 0.605773 + 1.04923i
\(320\) −3.76797 4.13509i −0.210636 0.231158i
\(321\) 10.6106 18.3781i 0.592225 1.02576i
\(322\) −6.34044 29.6849i −0.353339 1.65427i
\(323\) −16.3570 2.34447i −0.910131 0.130450i
\(324\) 19.7890 8.85762i 1.09939 0.492090i
\(325\) 5.25408 + 3.03345i 0.291444 + 0.168265i
\(326\) 10.7179 33.0978i 0.593609 1.83311i
\(327\) −7.72744 + 4.46144i −0.427329 + 0.246718i
\(328\) 2.66118 + 24.6159i 0.146939 + 1.35919i
\(329\) −4.52164 7.83171i −0.249286 0.431776i
\(330\) 4.11579 0.879099i 0.226567 0.0483928i
\(331\) −20.3375 −1.11785 −0.558924 0.829219i \(-0.688786\pi\)
−0.558924 + 0.829219i \(0.688786\pi\)
\(332\) −1.82324 + 2.51996i −0.100064 + 0.138301i
\(333\) 0.977502 0.564361i 0.0535668 0.0309268i
\(334\) 0.482758 + 2.26019i 0.0264153 + 0.123672i
\(335\) −3.76637 −0.205779
\(336\) 6.09361 29.2371i 0.332434 1.59501i
\(337\) 3.96146 + 2.28715i 0.215794 + 0.124589i 0.604001 0.796983i \(-0.293572\pi\)
−0.388207 + 0.921572i \(0.626905\pi\)
\(338\) 11.7511 10.6018i 0.639175 0.576662i
\(339\) 5.46852 + 3.15725i 0.297009 + 0.171478i
\(340\) 0.543758 5.27395i 0.0294894 0.286020i
\(341\) 16.8170i 0.910689i
\(342\) −4.40042 + 2.95696i −0.237948 + 0.159894i
\(343\) 1.67920i 0.0906685i
\(344\) 1.87872 + 17.3781i 0.101294 + 0.936967i
\(345\) −6.72017 3.87989i −0.361802 0.208886i
\(346\) 4.42594 + 4.90573i 0.237940 + 0.263734i
\(347\) −23.3858 13.5018i −1.25541 0.724813i −0.283234 0.959051i \(-0.591407\pi\)
−0.972179 + 0.234237i \(0.924741\pi\)
\(348\) 23.0103 31.8032i 1.23348 1.70483i
\(349\) 12.0416 0.644571 0.322285 0.946643i \(-0.395549\pi\)
0.322285 + 0.946643i \(0.395549\pi\)
\(350\) −23.7089 + 5.06402i −1.26729 + 0.270683i
\(351\) 4.89696 2.82726i 0.261380 0.150908i
\(352\) 12.2530 0.0606585i 0.653086 0.00323311i
\(353\) 25.6533 1.36539 0.682695 0.730703i \(-0.260808\pi\)
0.682695 + 0.730703i \(0.260808\pi\)
\(354\) 3.81165 + 17.8455i 0.202587 + 0.948479i
\(355\) 1.82107 + 3.15418i 0.0966522 + 0.167407i
\(356\) −3.29422 0.339643i −0.174593 0.0180010i
\(357\) 24.5122 14.1521i 1.29732 0.749010i
\(358\) −11.0180 3.56792i −0.582322 0.188571i
\(359\) −7.79191 4.49866i −0.411241 0.237430i 0.280082 0.959976i \(-0.409638\pi\)
−0.691323 + 0.722546i \(0.742972\pi\)
\(360\) −1.00394 1.37322i −0.0529125 0.0723748i
\(361\) −13.7395 + 13.1235i −0.723129 + 0.690713i
\(362\) 26.4476 5.64899i 1.39006 0.296905i
\(363\) 6.19681 10.7332i 0.325248 0.563347i
\(364\) 1.04836 10.1681i 0.0549489 0.532953i
\(365\) 3.39918 + 5.88755i 0.177921 + 0.308169i
\(366\) 5.02801 + 1.62820i 0.262818 + 0.0851072i
\(367\) 12.6429 7.29936i 0.659952 0.381024i −0.132306 0.991209i \(-0.542238\pi\)
0.792259 + 0.610185i \(0.208905\pi\)
\(368\) −16.8489 15.0504i −0.878310 0.784558i
\(369\) 7.52857i 0.391922i
\(370\) 0.869420 + 0.963669i 0.0451990 + 0.0500988i
\(371\) 11.8855 + 20.5863i 0.617065 + 1.06879i
\(372\) −27.8450 + 12.4635i −1.44370 + 0.646204i
\(373\) 6.50837i 0.336991i 0.985702 + 0.168495i \(0.0538908\pi\)
−0.985702 + 0.168495i \(0.946109\pi\)
\(374\) 7.77891 + 8.62217i 0.402238 + 0.445842i
\(375\) −6.53356 + 11.3165i −0.337391 + 0.584379i
\(376\) −6.15689 2.71934i −0.317518 0.140239i
\(377\) 6.71781 11.6356i 0.345985 0.599263i
\(378\) −6.96122 + 21.4968i −0.358046 + 1.10568i
\(379\) 35.9856 1.84846 0.924229 0.381838i \(-0.124709\pi\)
0.924229 + 0.381838i \(0.124709\pi\)
\(380\) −4.38210 4.23814i −0.224797 0.217412i
\(381\) 7.52887 0.385716
\(382\) 10.0163 30.9310i 0.512476 1.58257i
\(383\) −5.97796 + 10.3541i −0.305459 + 0.529071i −0.977364 0.211567i \(-0.932143\pi\)
0.671904 + 0.740638i \(0.265477\pi\)
\(384\) −9.18147 20.2432i −0.468540 1.03303i
\(385\) −2.87814 + 4.98508i −0.146683 + 0.254063i
\(386\) 5.58379 + 6.18909i 0.284208 + 0.315017i
\(387\) 5.31496i 0.270174i
\(388\) −8.58826 19.1872i −0.436003 0.974083i
\(389\) 7.92809 + 13.7319i 0.401970 + 0.696233i 0.993964 0.109710i \(-0.0349922\pi\)
−0.591993 + 0.805943i \(0.701659\pi\)
\(390\) −1.75046 1.94021i −0.0886378 0.0982464i
\(391\) 21.4111i 1.08281i
\(392\) 12.4227 + 16.9920i 0.627440 + 0.858225i
\(393\) −17.9953 + 10.3896i −0.907742 + 0.524085i
\(394\) −3.37905 1.09422i −0.170234 0.0551262i
\(395\) −2.36868 4.10267i −0.119181 0.206428i
\(396\) 3.70616 + 0.382114i 0.186241 + 0.0192020i
\(397\) 8.11926 14.0630i 0.407494 0.705800i −0.587114 0.809504i \(-0.699736\pi\)
0.994608 + 0.103704i \(0.0330694\pi\)
\(398\) −35.8219 + 7.65126i −1.79559 + 0.383523i
\(399\) 4.61752 32.2158i 0.231165 1.61281i
\(400\) −12.0206 + 13.4570i −0.601029 + 0.672850i
\(401\) 18.2022 + 10.5090i 0.908975 + 0.524797i 0.880101 0.474786i \(-0.157475\pi\)
0.0288735 + 0.999583i \(0.490808\pi\)
\(402\) −14.2371 4.61033i −0.710082 0.229943i
\(403\) −9.04275 + 5.22083i −0.450451 + 0.260068i
\(404\) −1.41173 + 13.6925i −0.0702362 + 0.681227i
\(405\) 3.79032 + 6.56502i 0.188342 + 0.326218i
\(406\) 11.2147 + 52.5053i 0.556575 + 2.60579i
\(407\) −2.84276 −0.140910
\(408\) 8.51117 19.2702i 0.421366 0.954019i
\(409\) −17.7446 + 10.2449i −0.877415 + 0.506576i −0.869805 0.493395i \(-0.835756\pi\)
−0.00761008 + 0.999971i \(0.502422\pi\)
\(410\) −8.46604 + 1.80827i −0.418108 + 0.0893043i
\(411\) −21.7246 −1.07160
\(412\) −14.6487 10.5986i −0.721689 0.522157i
\(413\) −21.6146 12.4792i −1.06359 0.614062i
\(414\) −4.60169 5.10053i −0.226161 0.250677i
\(415\) −0.941827 0.543764i −0.0462325 0.0266923i
\(416\) −3.83656 6.56979i −0.188103 0.322110i
\(417\) 7.04669i 0.345078i
\(418\) 13.3216 0.908180i 0.651581 0.0444205i
\(419\) 24.8783i 1.21539i −0.794172 0.607693i \(-0.792095\pi\)
0.794172 0.607693i \(-0.207905\pi\)
\(420\) 10.3872 + 1.07095i 0.506845 + 0.0522570i
\(421\) 6.32937 + 3.65427i 0.308475 + 0.178098i 0.646244 0.763131i \(-0.276339\pi\)
−0.337769 + 0.941229i \(0.609672\pi\)
\(422\) −10.1284 + 9.13782i −0.493042 + 0.444822i
\(423\) −1.77241 1.02330i −0.0861773 0.0497545i
\(424\) 16.1839 + 7.14802i 0.785960 + 0.347138i
\(425\) −17.1008 −0.829510
\(426\) 3.02277 + 14.1521i 0.146454 + 0.685672i
\(427\) −6.26011 + 3.61427i −0.302948 + 0.174907i
\(428\) 17.5019 + 12.6630i 0.845985 + 0.612088i
\(429\) 5.72350 0.276333
\(430\) −5.97678 + 1.27659i −0.288226 + 0.0615627i
\(431\) 18.4191 + 31.9028i 0.887215 + 1.53670i 0.843153 + 0.537673i \(0.180697\pi\)
0.0440620 + 0.999029i \(0.485970\pi\)
\(432\) 5.26020 + 15.9737i 0.253081 + 0.768535i
\(433\) 20.7596 11.9856i 0.997643 0.575989i 0.0900928 0.995933i \(-0.471284\pi\)
0.907550 + 0.419944i \(0.137950\pi\)
\(434\) 12.8546 39.6961i 0.617041 1.90547i
\(435\) 11.8863 + 6.86258i 0.569906 + 0.329035i
\(436\) −3.71090 8.29059i −0.177720 0.397047i
\(437\) −19.3586 15.2101i −0.926048 0.727596i
\(438\) 5.64227 + 26.4162i 0.269598 + 1.26221i
\(439\) 7.73644 13.3999i 0.369240 0.639543i −0.620207 0.784438i \(-0.712951\pi\)
0.989447 + 0.144896i \(0.0462846\pi\)
\(440\) 0.460480 + 4.25943i 0.0219525 + 0.203060i
\(441\) 3.20015 + 5.54282i 0.152388 + 0.263944i
\(442\) 2.22131 6.85960i 0.105657 0.326278i
\(443\) 24.6029 14.2045i 1.16892 0.674877i 0.215495 0.976505i \(-0.430864\pi\)
0.953426 + 0.301628i \(0.0975302\pi\)
\(444\) 2.10685 + 4.70696i 0.0999868 + 0.223383i
\(445\) 1.15792i 0.0548905i
\(446\) −13.8206 + 12.4689i −0.654422 + 0.590419i
\(447\) −13.3433 23.1112i −0.631115 1.09312i
\(448\) 28.9693 + 9.22279i 1.36867 + 0.435736i
\(449\) 25.3208i 1.19496i −0.801883 0.597481i \(-0.796169\pi\)
0.801883 0.597481i \(-0.203831\pi\)
\(450\) −4.07372 + 3.67530i −0.192037 + 0.173255i
\(451\) 9.48060 16.4209i 0.446424 0.773229i
\(452\) −3.76796 + 5.20780i −0.177230 + 0.244954i
\(453\) −16.8854 + 29.2464i −0.793346 + 1.37411i
\(454\) 15.1994 + 4.92195i 0.713343 + 0.230999i
\(455\) 3.57408 0.167555
\(456\) −11.3768 21.3845i −0.532766 1.00142i
\(457\) −18.5110 −0.865908 −0.432954 0.901416i \(-0.642529\pi\)
−0.432954 + 0.901416i \(0.642529\pi\)
\(458\) −26.5925 8.61133i −1.24259 0.402381i
\(459\) −7.96922 + 13.8031i −0.371971 + 0.644273i
\(460\) 4.63038 6.39978i 0.215893 0.298391i
\(461\) −7.93486 + 13.7436i −0.369563 + 0.640102i −0.989497 0.144552i \(-0.953826\pi\)
0.619934 + 0.784654i \(0.287159\pi\)
\(462\) −16.9817 + 15.3208i −0.790058 + 0.712789i
\(463\) 7.51954i 0.349463i −0.984616 0.174731i \(-0.944094\pi\)
0.984616 0.174731i \(-0.0559057\pi\)
\(464\) 29.8016 + 26.6205i 1.38350 + 1.23583i
\(465\) −5.33334 9.23762i −0.247328 0.428384i
\(466\) −3.52316 + 3.17859i −0.163207 + 0.147245i
\(467\) 4.97698i 0.230307i −0.993348 0.115154i \(-0.963264\pi\)
0.993348 0.115154i \(-0.0367360\pi\)
\(468\) −0.945109 2.11149i −0.0436877 0.0976035i
\(469\) 17.7259 10.2340i 0.818504 0.472563i
\(470\) 0.725011 2.23889i 0.0334422 0.103272i
\(471\) −1.23027 2.13088i −0.0566876 0.0981858i
\(472\) −18.4683 + 1.99658i −0.850074 + 0.0919000i
\(473\) 6.69304 11.5927i 0.307746 0.533032i
\(474\) −3.93175 18.4078i −0.180591 0.845498i
\(475\) −12.1481 + 15.4615i −0.557391 + 0.709420i
\(476\) 11.7713 + 26.2986i 0.539538 + 1.20539i
\(477\) 4.65892 + 2.68983i 0.213317 + 0.123159i
\(478\) 1.58404 4.89165i 0.0724523 0.223739i
\(479\) −25.3467 + 14.6339i −1.15812 + 0.668640i −0.950853 0.309644i \(-0.899790\pi\)
−0.207267 + 0.978284i \(0.566457\pi\)
\(480\) 6.71137 3.91924i 0.306331 0.178888i
\(481\) 0.882537 + 1.52860i 0.0402402 + 0.0696981i
\(482\) −32.7800 + 7.00154i −1.49309 + 0.318912i
\(483\) 42.1700 1.91880
\(484\) 10.2215 + 7.39546i 0.464613 + 0.336157i
\(485\) 6.36538 3.67505i 0.289037 0.166876i
\(486\) 2.56558 + 12.0116i 0.116377 + 0.544858i
\(487\) 21.2046 0.960871 0.480436 0.877030i \(-0.340479\pi\)
0.480436 + 0.877030i \(0.340479\pi\)
\(488\) −2.17365 + 4.92138i −0.0983963 + 0.222780i
\(489\) 41.8566 + 24.1659i 1.89282 + 1.09282i
\(490\) −5.46438 + 4.92996i −0.246856 + 0.222713i
\(491\) 1.20406 + 0.695164i 0.0543384 + 0.0313723i 0.526923 0.849913i \(-0.323346\pi\)
−0.472585 + 0.881285i \(0.656679\pi\)
\(492\) −34.2156 3.52772i −1.54256 0.159042i
\(493\) 37.8710i 1.70563i
\(494\) −4.62404 6.88130i −0.208046 0.309604i
\(495\) 1.30271i 0.0585525i
\(496\) −9.71351 29.4971i −0.436149 1.32446i
\(497\) −17.1412 9.89645i −0.768886 0.443917i
\(498\) −2.89455 3.20833i −0.129708 0.143769i
\(499\) −6.38061 3.68385i −0.285635 0.164912i 0.350336 0.936624i \(-0.386067\pi\)
−0.635972 + 0.771712i \(0.719401\pi\)
\(500\) −10.7769 7.79734i −0.481959 0.348708i
\(501\) −3.21080 −0.143448
\(502\) −15.7261 + 3.35896i −0.701889 + 0.149918i
\(503\) −11.7917 + 6.80795i −0.525767 + 0.303552i −0.739291 0.673386i \(-0.764839\pi\)
0.213524 + 0.976938i \(0.431506\pi\)
\(504\) 8.45623 + 3.73490i 0.376671 + 0.166366i
\(505\) −4.81290 −0.214171
\(506\) 3.61393 + 16.9198i 0.160659 + 0.752177i
\(507\) 10.9937 + 19.0416i 0.488246 + 0.845667i
\(508\) −0.786027 + 7.62373i −0.0348743 + 0.338249i
\(509\) −11.4661 + 6.61997i −0.508227 + 0.293425i −0.732104 0.681192i \(-0.761462\pi\)
0.223878 + 0.974617i \(0.428128\pi\)
\(510\) 7.00743 + 2.26918i 0.310294 + 0.100481i
\(511\) −31.9955 18.4726i −1.41540 0.817179i
\(512\) 21.4568 7.18374i 0.948265 0.317479i
\(513\) 6.81871 + 17.0107i 0.301053 + 0.751041i
\(514\) −7.40559 + 1.58177i −0.326647 + 0.0697690i
\(515\) 3.16093 5.47490i 0.139287 0.241253i
\(516\) −24.1552 2.49047i −1.06338 0.109637i
\(517\) 2.57725 + 4.46393i 0.113347 + 0.196323i
\(518\) −6.71029 2.17296i −0.294833 0.0954745i
\(519\) −7.94930 + 4.58953i −0.348936 + 0.201458i
\(520\) 2.14741 1.56995i 0.0941701 0.0688469i
\(521\) 16.0262i 0.702122i −0.936353 0.351061i \(-0.885821\pi\)
0.936353 0.351061i \(-0.114179\pi\)
\(522\) 8.13925 + 9.02157i 0.356245 + 0.394864i
\(523\) −2.74232 4.74984i −0.119913 0.207696i 0.799820 0.600240i \(-0.204928\pi\)
−0.919733 + 0.392544i \(0.871595\pi\)
\(524\) −8.64176 19.3067i −0.377517 0.843418i
\(525\) 33.6806i 1.46994i
\(526\) −3.93812 4.36503i −0.171710 0.190324i
\(527\) 14.7160 25.4888i 0.641039 1.11031i
\(528\) −3.47324 + 16.6646i −0.151153 + 0.725232i
\(529\) 4.45005 7.70771i 0.193480 0.335118i
\(530\) −1.90575 + 5.88512i −0.0827805 + 0.255633i
\(531\) −5.64838 −0.245119
\(532\) 32.1396 + 8.03908i 1.39343 + 0.348538i
\(533\) −11.7730 −0.509947
\(534\) 1.41738 4.37699i 0.0613360 0.189411i
\(535\) −3.77660 + 6.54127i −0.163277 + 0.282804i
\(536\) 6.15480 13.9352i 0.265847 0.601907i
\(537\) 8.04470 13.9338i 0.347154 0.601289i
\(538\) −8.42651 9.33997i −0.363293 0.402675i
\(539\) 16.1196i 0.694319i
\(540\) −5.36706 + 2.40231i −0.230961 + 0.103379i
\(541\) −20.3913 35.3187i −0.876689 1.51847i −0.854953 0.518706i \(-0.826414\pi\)
−0.0217359 0.999764i \(-0.506919\pi\)
\(542\) −6.88468 7.63101i −0.295722 0.327780i
\(543\) 37.5712i 1.61233i
\(544\) 18.6245 + 10.6303i 0.798517 + 0.455768i
\(545\) 2.75041 1.58795i 0.117815 0.0680204i
\(546\) 13.5102 + 4.37495i 0.578184 + 0.187231i
\(547\) 8.11367 + 14.0533i 0.346916 + 0.600875i 0.985700 0.168511i \(-0.0538957\pi\)
−0.638784 + 0.769386i \(0.720562\pi\)
\(548\) 2.26809 21.9984i 0.0968880 0.939724i
\(549\) −0.817951 + 1.41673i −0.0349093 + 0.0604647i
\(550\) 13.5136 2.88639i 0.576223 0.123076i
\(551\) 34.2406 + 26.9028i 1.45870 + 1.14610i
\(552\) 25.3369 18.5236i 1.07841 0.788417i
\(553\) 22.2957 + 12.8724i 0.948108 + 0.547390i
\(554\) 11.0191 + 3.56826i 0.468156 + 0.151601i
\(555\) −1.56154 + 0.901556i −0.0662837 + 0.0382689i
\(556\) 7.13548 + 0.735687i 0.302612 + 0.0312001i
\(557\) 12.8573 + 22.2694i 0.544779 + 0.943586i 0.998621 + 0.0525031i \(0.0167199\pi\)
−0.453841 + 0.891082i \(0.649947\pi\)
\(558\) −1.97245 9.23467i −0.0835004 0.390935i
\(559\) −8.31143 −0.351536
\(560\) −2.16889 + 10.4063i −0.0916522 + 0.439746i
\(561\) −13.9715 + 8.06643i −0.589876 + 0.340565i
\(562\) 17.2673 3.68816i 0.728379 0.155576i
\(563\) −3.46283 −0.145941 −0.0729704 0.997334i \(-0.523248\pi\)
−0.0729704 + 0.997334i \(0.523248\pi\)
\(564\) 5.48117 7.57568i 0.230799 0.318994i
\(565\) −1.94640 1.12375i −0.0818856 0.0472767i
\(566\) −15.1876 16.8340i −0.638383 0.707586i
\(567\) −35.6771 20.5982i −1.49830 0.865043i
\(568\) −14.6460 + 1.58336i −0.614533 + 0.0664362i
\(569\) 23.9727i 1.00499i 0.864580 + 0.502495i \(0.167584\pi\)
−0.864580 + 0.502495i \(0.832416\pi\)
\(570\) 7.02959 4.72369i 0.294437 0.197854i
\(571\) 2.19178i 0.0917230i 0.998948 + 0.0458615i \(0.0146033\pi\)
−0.998948 + 0.0458615i \(0.985397\pi\)
\(572\) −0.597543 + 5.79562i −0.0249845 + 0.242327i
\(573\) 39.1165 + 22.5839i 1.63412 + 0.943457i
\(574\) 34.9307 31.5144i 1.45798 1.31539i
\(575\) −22.0647 12.7391i −0.920163 0.531256i
\(576\) 6.72134 1.47045i 0.280056 0.0612688i
\(577\) −2.12423 −0.0884328 −0.0442164 0.999022i \(-0.514079\pi\)
−0.0442164 + 0.999022i \(0.514079\pi\)
\(578\) −0.776600 3.63591i −0.0323023 0.151234i
\(579\) −10.0289 + 5.79018i −0.416786 + 0.240632i
\(580\) −8.19000 + 11.3196i −0.340071 + 0.470022i
\(581\) 5.91009 0.245192
\(582\) 28.5601 6.10019i 1.18385 0.252861i
\(583\) −6.77451 11.7338i −0.280572 0.485964i
\(584\) −27.3381 + 2.95547i −1.13126 + 0.122298i
\(585\) 0.700488 0.404427i 0.0289616 0.0167210i
\(586\) −3.39233 + 10.4758i −0.140136 + 0.432751i
\(587\) 38.4523 + 22.2004i 1.58710 + 0.916310i 0.993783 + 0.111338i \(0.0355136\pi\)
0.593313 + 0.804972i \(0.297820\pi\)
\(588\) −26.6903 + 11.9467i −1.10069 + 0.492673i
\(589\) −12.5915 31.4121i −0.518822 1.29431i
\(590\) −1.35667 6.35172i −0.0558534 0.261496i
\(591\) 2.46718 4.27327i 0.101486 0.175779i
\(592\) −4.98623 + 1.64199i −0.204933 + 0.0674852i
\(593\) 21.5901 + 37.3952i 0.886600 + 1.53564i 0.843868 + 0.536551i \(0.180273\pi\)
0.0427323 + 0.999087i \(0.486394\pi\)
\(594\) 3.96776 12.2528i 0.162799 0.502737i
\(595\) −8.72458 + 5.03714i −0.357673 + 0.206502i
\(596\) 24.7955 11.0986i 1.01566 0.454614i
\(597\) 50.8882i 2.08271i
\(598\) 7.97611 7.19603i 0.326167 0.294268i
\(599\) 0.631476 + 1.09375i 0.0258014 + 0.0446894i 0.878638 0.477489i \(-0.158453\pi\)
−0.852836 + 0.522178i \(0.825120\pi\)
\(600\) −14.7945 20.2363i −0.603985 0.826142i
\(601\) 44.5502i 1.81724i −0.417623 0.908620i \(-0.637137\pi\)
0.417623 0.908620i \(-0.362863\pi\)
\(602\) 24.6601 22.2483i 1.00507 0.906772i
\(603\) 2.31608 4.01156i 0.0943179 0.163363i
\(604\) −27.8520 20.1515i −1.13328 0.819954i
\(605\) −2.20562 + 3.82024i −0.0896712 + 0.155315i
\(606\) −18.1930 5.89137i −0.739042 0.239320i
\(607\) −38.9798 −1.58214 −0.791070 0.611725i \(-0.790476\pi\)
−0.791070 + 0.611725i \(0.790476\pi\)
\(608\) 22.8417 9.28755i 0.926352 0.376660i
\(609\) −74.5883 −3.02247
\(610\) −1.78961 0.579521i −0.0724592 0.0234641i
\(611\) 1.60022 2.77166i 0.0647378 0.112129i
\(612\) 5.28291 + 3.82230i 0.213549 + 0.154507i
\(613\) 1.77359 3.07196i 0.0716348 0.124075i −0.827983 0.560753i \(-0.810512\pi\)
0.899618 + 0.436678i \(0.143845\pi\)
\(614\) 2.39708 2.16264i 0.0967382 0.0872771i
\(615\) 12.0267i 0.484965i
\(616\) −13.7410 18.7952i −0.553639 0.757278i
\(617\) 19.7132 + 34.1443i 0.793623 + 1.37460i 0.923710 + 0.383093i \(0.125141\pi\)
−0.130086 + 0.991503i \(0.541526\pi\)
\(618\) 18.6502 16.8262i 0.750222 0.676849i
\(619\) 5.58415i 0.224446i −0.993683 0.112223i \(-0.964203\pi\)
0.993683 0.112223i \(-0.0357971\pi\)
\(620\) 9.91083 4.43612i 0.398028 0.178159i
\(621\) −20.5650 + 11.8732i −0.825244 + 0.476455i
\(622\) −4.62094 + 14.2698i −0.185283 + 0.572168i
\(623\) 3.14630 + 5.44956i 0.126054 + 0.218332i
\(624\) 10.0391 3.30591i 0.401885 0.132342i
\(625\) −8.95200 + 15.5053i −0.358080 + 0.620213i
\(626\) 10.0200 + 46.9119i 0.400479 + 1.87498i
\(627\) −2.63190 + 18.3624i −0.105108 + 0.733322i
\(628\) 2.28617 1.02330i 0.0912282 0.0408341i
\(629\) −4.30867 2.48761i −0.171798 0.0991876i
\(630\) −0.995771 + 3.07502i −0.0396725 + 0.122512i
\(631\) −19.8544 + 11.4629i −0.790390 + 0.456332i −0.840100 0.542432i \(-0.817504\pi\)
0.0497097 + 0.998764i \(0.484170\pi\)
\(632\) 19.0502 2.05949i 0.757777 0.0819219i
\(633\) −9.47557 16.4122i −0.376620 0.652325i
\(634\) 30.6746 6.55185i 1.21825 0.260207i
\(635\) −2.67974 −0.106342
\(636\) −14.4077 + 19.9133i −0.571302 + 0.789614i
\(637\) −8.66776 + 5.00433i −0.343429 + 0.198279i
\(638\) −6.39215 29.9270i −0.253068 1.18482i
\(639\) −4.47936 −0.177201
\(640\) 3.26794 + 7.20511i 0.129177 + 0.284807i
\(641\) −10.9179 6.30344i −0.431230 0.248971i 0.268640 0.963241i \(-0.413426\pi\)
−0.699871 + 0.714270i \(0.746759\pi\)
\(642\) −22.2828 + 20.1035i −0.879432 + 0.793422i
\(643\) 13.9691 + 8.06508i 0.550889 + 0.318056i 0.749480 0.662027i \(-0.230303\pi\)
−0.198592 + 0.980082i \(0.563637\pi\)
\(644\) −4.40262 + 42.7013i −0.173487 + 1.68267i
\(645\) 8.49055i 0.334315i
\(646\) 20.9858 + 10.2808i 0.825675 + 0.404494i
\(647\) 16.5815i 0.651885i −0.945390 0.325942i \(-0.894318\pi\)
0.945390 0.325942i \(-0.105682\pi\)
\(648\) −30.4838 + 3.29555i −1.19752 + 0.129461i
\(649\) 12.3199 + 7.11291i 0.483599 + 0.279206i
\(650\) −5.74737 6.37041i −0.225430 0.249868i
\(651\) 50.2012 + 28.9837i 1.96754 + 1.13596i
\(652\) −28.8403 + 39.8611i −1.12947 + 1.56108i
\(653\) 12.0967 0.473380 0.236690 0.971585i \(-0.423938\pi\)
0.236690 + 0.971585i \(0.423938\pi\)
\(654\) 12.3405 2.63583i 0.482552 0.103069i
\(655\) 6.40503 3.69794i 0.250265 0.144491i
\(656\) 7.14433 34.2784i 0.278939 1.33835i
\(657\) −8.36112 −0.326198
\(658\) 2.67140 + 12.5070i 0.104142 + 0.487575i
\(659\) −11.8246 20.4808i −0.460620 0.797817i 0.538372 0.842707i \(-0.319040\pi\)
−0.998992 + 0.0448903i \(0.985706\pi\)
\(660\) −5.92052 0.610420i −0.230456 0.0237606i
\(661\) 2.32766 1.34388i 0.0905356 0.0522707i −0.454049 0.890977i \(-0.650021\pi\)
0.544584 + 0.838706i \(0.316687\pi\)
\(662\) 27.3626 + 8.86071i 1.06348 + 0.344381i
\(663\) 8.67490 + 5.00846i 0.336905 + 0.194512i
\(664\) 3.55095 2.59607i 0.137804 0.100747i
\(665\) −1.64351 + 11.4665i −0.0637324 + 0.444652i
\(666\) −1.56104 + 0.333425i −0.0604892 + 0.0129200i
\(667\) −28.2117 + 48.8641i −1.09236 + 1.89203i
\(668\) 0.335213 3.25125i 0.0129698 0.125795i
\(669\) −12.9298 22.3950i −0.499893 0.865841i
\(670\) 5.06738 + 1.64095i 0.195770 + 0.0633953i
\(671\) 3.56814 2.06007i 0.137746 0.0795280i
\(672\) −20.9367 + 36.6815i −0.807649 + 1.41502i
\(673\) 21.2105i 0.817606i 0.912623 + 0.408803i \(0.134054\pi\)
−0.912623 + 0.408803i \(0.865946\pi\)
\(674\) −4.33338 4.80314i −0.166916 0.185010i
\(675\) 9.48296 + 16.4250i 0.364999 + 0.632197i
\(676\) −20.4293 + 9.14422i −0.785742 + 0.351701i
\(677\) 4.31879i 0.165985i 0.996550 + 0.0829923i \(0.0264477\pi\)
−0.996550 + 0.0829923i \(0.973552\pi\)
\(678\) −5.98194 6.63040i −0.229735 0.254639i
\(679\) −19.9718 + 34.5922i −0.766447 + 1.32753i
\(680\) −3.02936 + 6.85882i −0.116171 + 0.263024i
\(681\) −11.0977 + 19.2217i −0.425263 + 0.736577i
\(682\) −7.32688 + 22.6260i −0.280561 + 0.866395i
\(683\) 1.45793 0.0557860 0.0278930 0.999611i \(-0.491120\pi\)
0.0278930 + 0.999611i \(0.491120\pi\)
\(684\) 7.20876 2.06119i 0.275634 0.0788115i
\(685\) 7.73241 0.295440
\(686\) 0.731603 2.25925i 0.0279327 0.0862586i
\(687\) 19.4162 33.6298i 0.740774 1.28306i
\(688\) 5.04370 24.1996i 0.192289 0.922601i
\(689\) −4.20630 + 7.28553i −0.160247 + 0.277557i
\(690\) 7.35111 + 8.14800i 0.279852 + 0.310189i
\(691\) 11.5350i 0.438811i 0.975634 + 0.219405i \(0.0704118\pi\)
−0.975634 + 0.219405i \(0.929588\pi\)
\(692\) −3.81744 8.52862i −0.145117 0.324210i
\(693\) −3.53974 6.13101i −0.134464 0.232898i
\(694\) 25.5814 + 28.3545i 0.971056 + 1.07632i
\(695\) 2.50812i 0.0951383i
\(696\) −44.8148 + 32.7637i −1.69870 + 1.24190i
\(697\) 28.7388 16.5924i 1.08856 0.628481i
\(698\) −16.2011 5.24632i −0.613220 0.198576i
\(699\) −3.29607 5.70897i −0.124669 0.215933i
\(700\) 34.1050 + 3.51631i 1.28905 + 0.132904i
\(701\) 20.5836 35.6519i 0.777433 1.34655i −0.155984 0.987760i \(-0.549855\pi\)
0.933417 0.358793i \(-0.116812\pi\)
\(702\) −7.82031 + 1.67035i −0.295158 + 0.0630434i
\(703\) −5.30994 + 2.12848i −0.200268 + 0.0802771i
\(704\) −16.5119 5.25681i −0.622317 0.198124i
\(705\) 2.83139 + 1.63470i 0.106636 + 0.0615664i
\(706\) −34.5148 11.1768i −1.29898 0.420643i
\(707\) 22.6512 13.0777i 0.851885 0.491836i
\(708\) 2.64670 25.6706i 0.0994691 0.964759i
\(709\) 6.18838 + 10.7186i 0.232410 + 0.402545i 0.958517 0.285036i \(-0.0920057\pi\)
−0.726107 + 0.687582i \(0.758672\pi\)
\(710\) −1.07589 5.03714i −0.0403774 0.189040i
\(711\) 5.82634 0.218505
\(712\) 4.28416 + 1.89220i 0.160556 + 0.0709134i
\(713\) 37.9754 21.9251i 1.42219 0.821101i
\(714\) −39.1453 + 8.36110i −1.46497 + 0.312906i
\(715\) −2.03715 −0.0761853
\(716\) 13.2695 + 9.60078i 0.495905 + 0.358798i
\(717\) 6.18616 + 3.57158i 0.231026 + 0.133383i
\(718\) 8.52347 + 9.44744i 0.318093 + 0.352575i
\(719\) 30.4414 + 17.5754i 1.13527 + 0.655450i 0.945256 0.326331i \(-0.105812\pi\)
0.190017 + 0.981781i \(0.439146\pi\)
\(720\) 0.752448 + 2.28497i 0.0280421 + 0.0851557i
\(721\) 34.3557i 1.27947i
\(722\) 24.2032 11.6707i 0.900749 0.434340i
\(723\) 46.5669i 1.73184i
\(724\) −38.0446 3.92250i −1.41392 0.145778i
\(725\) 39.0271 + 22.5323i 1.44943 + 0.836828i
\(726\) −13.0137 + 11.7409i −0.482982 + 0.435746i
\(727\) −0.627182 0.362104i −0.0232609 0.0134297i 0.488324 0.872662i \(-0.337608\pi\)
−0.511585 + 0.859232i \(0.670942\pi\)
\(728\) −5.84057 + 13.2237i −0.216466 + 0.490103i
\(729\) 15.4578 0.572511
\(730\) −2.00824 9.40226i −0.0743284 0.347993i
\(731\) 20.2888 11.7137i 0.750408 0.433248i
\(732\) −6.05545 4.38125i −0.223816 0.161936i
\(733\) −23.5335 −0.869229 −0.434615 0.900617i \(-0.643115\pi\)
−0.434615 + 0.900617i \(0.643115\pi\)
\(734\) −20.1903 + 4.31248i −0.745238 + 0.159176i
\(735\) −5.11218 8.85455i −0.188565 0.326605i
\(736\) 16.1118 + 27.5901i 0.593888 + 1.01698i
\(737\) −10.1034 + 5.83320i −0.372163 + 0.214869i
\(738\) 3.28008 10.1292i 0.120741 0.372859i
\(739\) −26.8193 15.4841i −0.986565 0.569594i −0.0823193 0.996606i \(-0.526233\pi\)
−0.904246 + 0.427012i \(0.859566\pi\)
\(740\) −0.749888 1.67534i −0.0275664 0.0615867i
\(741\) 10.6908 4.28539i 0.392737 0.157428i
\(742\) −7.02198 32.8757i −0.257785 1.20691i
\(743\) 8.64306 14.9702i 0.317083 0.549204i −0.662795 0.748801i \(-0.730630\pi\)
0.979878 + 0.199597i \(0.0639632\pi\)
\(744\) 42.8937 4.63716i 1.57256 0.170007i
\(745\) 4.74925 + 8.22593i 0.173999 + 0.301375i
\(746\) 2.83560 8.75656i 0.103819 0.320600i
\(747\) 1.15833 0.668760i 0.0423810 0.0244687i
\(748\) −6.70943 14.9897i −0.245321 0.548076i
\(749\) 41.0473i 1.49984i
\(750\) 13.7208 12.3789i 0.501014 0.452014i
\(751\) −21.6481 37.4955i −0.789949 1.36823i −0.925998 0.377530i \(-0.876774\pi\)
0.136049 0.990702i \(-0.456560\pi\)
\(752\) 7.09889 + 6.34114i 0.258870 + 0.231238i
\(753\) 22.3403i 0.814125i
\(754\) −14.1078 + 12.7280i −0.513775 + 0.463527i
\(755\) 6.00999 10.4096i 0.218726 0.378844i
\(756\) 18.7316 25.8896i 0.681263 0.941594i
\(757\) −21.8940 + 37.9215i −0.795750 + 1.37828i 0.126612 + 0.991952i \(0.459590\pi\)
−0.922362 + 0.386327i \(0.873744\pi\)
\(758\) −48.4161 15.6784i −1.75855 0.569464i
\(759\) −24.0361 −0.872454
\(760\) 4.04931 + 7.61133i 0.146884 + 0.276092i
\(761\) −40.4089 −1.46482 −0.732411 0.680862i \(-0.761605\pi\)
−0.732411 + 0.680862i \(0.761605\pi\)
\(762\) −10.1296 3.28021i −0.366955 0.118829i
\(763\) −8.62961 + 14.9469i −0.312413 + 0.541115i
\(764\) −26.9523 + 37.2516i −0.975101 + 1.34772i
\(765\) −1.13996 + 1.97447i −0.0412154 + 0.0713871i
\(766\) 12.5541 11.3262i 0.453596 0.409234i
\(767\) 8.83283i 0.318935i
\(768\) 3.53339 + 31.2360i 0.127500 + 1.12713i
\(769\) −11.8696 20.5588i −0.428029 0.741369i 0.568669 0.822567i \(-0.307459\pi\)
−0.996698 + 0.0811981i \(0.974125\pi\)
\(770\) 6.04425 5.45311i 0.217820 0.196517i
\(771\) 10.5203i 0.378879i
\(772\) −4.81611 10.7598i −0.173335 0.387252i
\(773\) −18.6399 + 10.7618i −0.670432 + 0.387074i −0.796240 0.604981i \(-0.793181\pi\)
0.125809