Properties

Label 76.2.f.a.27.3
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 27.3
Root \(1.34543 - 0.435684i\) of defining polynomial
Character \(\chi\) \(=\) 76.27
Dual form 76.2.f.a.31.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.05003 - 0.947334i) q^{2} +(-0.982349 + 1.70148i) q^{3} +(0.205118 + 1.98945i) q^{4} +(-0.349646 + 0.605604i) q^{5} +(2.64336 - 0.855988i) q^{6} +3.80025i q^{7} +(1.66930 - 2.28330i) q^{8} +(-0.430019 - 0.744815i) q^{9} +O(q^{10})\) \(q+(-1.05003 - 0.947334i) q^{2} +(-0.982349 + 1.70148i) q^{3} +(0.205118 + 1.98945i) q^{4} +(-0.349646 + 0.605604i) q^{5} +(2.64336 - 0.855988i) q^{6} +3.80025i q^{7} +(1.66930 - 2.28330i) q^{8} +(-0.430019 - 0.744815i) q^{9} +(0.940847 - 0.304670i) q^{10} -2.16607i q^{11} +(-3.58651 - 1.60533i) q^{12} +(1.16473 - 0.672457i) q^{13} +(3.60010 - 3.99036i) q^{14} +(-0.686948 - 1.18983i) q^{15} +(-3.91585 + 0.816145i) 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} +(-2.05199 + 2.27443i) q^{22} +(4.89133 - 2.82401i) q^{23} +(2.24515 + 5.08327i) q^{24} +(2.25550 + 3.90663i) q^{25} +(-1.86004 - 0.397289i) q^{26} -4.20438 q^{27} +(-7.56041 + 0.779498i) q^{28} +(8.65155 - 4.99498i) q^{29} +(-0.405850 + 1.90012i) q^{30} +7.76382 q^{31} +(4.88492 + 2.85264i) q^{32} +(3.68552 + 2.12783i) q^{33} +(5.10041 - 1.65164i) q^{34} +(-2.30144 - 1.32874i) q^{35} +(1.39357 - 1.00828i) q^{36} +1.31241i q^{37} +(-2.12992 + 5.78476i) q^{38} +2.64235i q^{39} +(0.799112 + 1.80928i) q^{40} +(-7.58097 - 4.37688i) q^{41} +(3.25296 + 10.0454i) q^{42} +(5.35195 + 3.08995i) q^{43} +(4.30929 - 0.444299i) q^{44} +0.601418 q^{45} +(-7.81131 - 1.66843i) q^{46} +(-2.06084 + 1.18983i) q^{47} +(2.45808 - 7.46448i) q^{48} -7.44187 q^{49} +(1.33255 - 6.23878i) q^{50} +(-3.72400 - 6.45016i) q^{51} +(1.57673 + 2.17924i) q^{52} +(-5.41710 + 3.12756i) q^{53} +(4.41471 + 3.98295i) 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} +(2.22620 - 1.61071i) q^{60} +(-0.951063 - 1.64729i) q^{61} +(-8.15223 - 7.35493i) q^{62} +(2.83048 - 1.63418i) q^{63} +(-2.42689 - 7.62300i) q^{64} +0.940486i q^{65} +(-1.85413 - 5.72570i) q^{66} +(-2.69299 - 4.66440i) q^{67} +(-6.92022 - 3.09752i) q^{68} +11.0966i q^{69} +(1.15782 + 3.57545i) q^{70} +(-2.60416 + 4.51054i) q^{71} +(-2.41847 - 0.261456i) q^{72} +(4.86089 - 8.41932i) q^{73} +(1.24329 - 1.37806i) q^{74} -8.86274 q^{75} +(7.71657 - 4.05642i) q^{76} +8.23158 q^{77} +(2.50319 - 2.77454i) q^{78} +(3.38726 - 5.86690i) q^{79} +(0.874900 - 2.65682i) q^{80} +(5.42022 - 9.38810i) q^{81} +(3.81387 + 11.7776i) q^{82} -1.55519i q^{83} +(6.10067 - 13.6296i) q^{84} +(-1.32548 - 2.29579i) q^{85} +(-2.69249 - 8.31462i) q^{86} +19.6272i q^{87} +(-4.94577 - 3.61581i) q^{88} +(-1.43400 + 0.827921i) q^{89} +(-0.631505 - 0.569743i) q^{90} +(2.55550 + 4.42626i) q^{91} +(6.62153 + 9.15181i) 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} +(7.81417 + 7.04993i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.05003 0.947334i −0.742482 0.669866i
\(3\) −0.982349 + 1.70148i −0.567160 + 0.982349i 0.429686 + 0.902979i \(0.358624\pi\)
−0.996845 + 0.0793705i \(0.974709\pi\)
\(4\) 0.205118 + 1.98945i 0.102559 + 0.994727i
\(5\) −0.349646 + 0.605604i −0.156366 + 0.270834i −0.933556 0.358432i \(-0.883311\pi\)
0.777189 + 0.629267i \(0.216645\pi\)
\(6\) 2.64336 0.855988i 1.07915 0.349456i
\(7\) 3.80025i 1.43636i 0.695858 + 0.718179i \(0.255024\pi\)
−0.695858 + 0.718179i \(0.744976\pi\)
\(8\) 1.66930 2.28330i 0.590186 0.807268i
\(9\) −0.430019 0.744815i −0.143340 0.248272i
\(10\) 0.940847 0.304670i 0.297522 0.0963451i
\(11\) 2.16607i 0.653094i −0.945181 0.326547i \(-0.894115\pi\)
0.945181 0.326547i \(-0.105885\pi\)
\(12\) −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 \(0.273617\pi\)
\(14\) 3.60010 3.99036i 0.962167 1.06647i
\(15\) −0.686948 1.18983i −0.177369 0.307213i
\(16\) −3.91585 + 0.816145i −0.978963 + 0.204036i
\(17\) −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
\(22\) −2.05199 + 2.27443i −0.437485 + 0.484910i
\(23\) 4.89133 2.82401i 1.01991 0.588846i 0.105834 0.994384i \(-0.466249\pi\)
0.914078 + 0.405537i \(0.132916\pi\)
\(24\) 2.24515 + 5.08327i 0.458289 + 1.03762i
\(25\) 2.25550 + 3.90663i 0.451099 + 0.781327i
\(26\) −1.86004 0.397289i −0.364784 0.0779147i
\(27\) −4.20438 −0.809133
\(28\) −7.56041 + 0.779498i −1.42878 + 0.147311i
\(29\) 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 \(-0.254424\pi\)
0.697212 + 0.716865i \(0.254424\pi\)
\(32\) 4.88492 + 2.85264i 0.863540 + 0.504281i
\(33\) 3.68552 + 2.12783i 0.641566 + 0.370408i
\(34\) 5.10041 1.65164i 0.874712 0.283254i
\(35\) −2.30144 1.32874i −0.389015 0.224598i
\(36\) 1.39357 1.00828i 0.232262 0.168046i
\(37\) 1.31241i 0.215759i 0.994164 + 0.107879i \(0.0344060\pi\)
−0.994164 + 0.107879i \(0.965594\pi\)
\(38\) −2.12992 + 5.78476i −0.345518 + 0.938412i
\(39\) 2.64235i 0.423114i
\(40\) 0.799112 + 1.80928i 0.126351 + 0.286072i
\(41\) −7.58097 4.37688i −1.18395 0.683553i −0.227024 0.973889i \(-0.572900\pi\)
−0.956925 + 0.290336i \(0.906233\pi\)
\(42\) 3.25296 + 10.0454i 0.501943 + 1.55004i
\(43\) 5.35195 + 3.08995i 0.816165 + 0.471213i 0.849092 0.528245i \(-0.177150\pi\)
−0.0329270 + 0.999458i \(0.510483\pi\)
\(44\) 4.30929 0.444299i 0.649650 0.0669806i
\(45\) 0.601418 0.0896540
\(46\) −7.81131 1.66843i −1.15171 0.245997i
\(47\) −2.06084 + 1.18983i −0.300605 + 0.173554i −0.642715 0.766106i \(-0.722192\pi\)
0.342110 + 0.939660i \(0.388859\pi\)
\(48\) 2.45808 7.46448i 0.354794 1.07740i
\(49\) −7.44187 −1.06312
\(50\) 1.33255 6.23878i 0.188451 0.882297i
\(51\) −3.72400 6.45016i −0.521464 0.903203i
\(52\) 1.57673 + 2.17924i 0.218653 + 0.302206i
\(53\) −5.41710 + 3.12756i −0.744096 + 0.429604i −0.823557 0.567234i \(-0.808013\pi\)
0.0794608 + 0.996838i \(0.474680\pi\)
\(54\) 4.41471 + 3.98295i 0.600767 + 0.542011i
\(55\) 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 −0.996651 0.0817670i \(-0.973944\pi\)
0.569138 + 0.822242i \(0.307277\pi\)
\(60\) 2.22620 1.61071i 0.287402 0.207941i
\(61\) −0.951063 1.64729i −0.121771 0.210914i 0.798695 0.601736i \(-0.205524\pi\)
−0.920466 + 0.390822i \(0.872191\pi\)
\(62\) −8.15223 7.35493i −1.03533 0.934077i
\(63\) 2.83048 1.63418i 0.356607 0.205887i
\(64\) −2.42689 7.62300i −0.303362 0.952875i
\(65\) 0.940486i 0.116653i
\(66\) −1.85413 5.72570i −0.228227 0.704785i
\(67\) −2.69299 4.66440i −0.329001 0.569847i 0.653313 0.757088i \(-0.273379\pi\)
−0.982314 + 0.187241i \(0.940045\pi\)
\(68\) −6.92022 3.09752i −0.839201 0.375629i
\(69\) 11.0966i 1.33588i
\(70\) 1.15782 + 3.57545i 0.138386 + 0.427348i
\(71\) −2.60416 + 4.51054i −0.309057 + 0.535303i −0.978156 0.207870i \(-0.933347\pi\)
0.669099 + 0.743173i \(0.266680\pi\)
\(72\) −2.41847 0.261456i −0.285019 0.0308129i
\(73\) 4.86089 8.41932i 0.568925 0.985406i −0.427748 0.903898i \(-0.640693\pi\)
0.996673 0.0815084i \(-0.0259738\pi\)
\(74\) 1.24329 1.37806i 0.144529 0.160197i
\(75\) −8.86274 −1.02338
\(76\) 7.71657 4.05642i 0.885151 0.465303i
\(77\) 8.23158 0.938076
\(78\) 2.50319 2.77454i 0.283430 0.314155i
\(79\) 3.38726 5.86690i 0.381096 0.660078i −0.610123 0.792307i \(-0.708880\pi\)
0.991219 + 0.132229i \(0.0422134\pi\)
\(80\) 0.874900 2.65682i 0.0978168 0.297041i
\(81\) 5.42022 9.38810i 0.602247 1.04312i
\(82\) 3.81387 + 11.7776i 0.421172 + 1.30061i
\(83\) 1.55519i 0.170704i −0.996351 0.0853519i \(-0.972799\pi\)
0.996351 0.0853519i \(-0.0272015\pi\)
\(84\) 6.10067 13.6296i 0.665637 1.48711i
\(85\) −1.32548 2.29579i −0.143768 0.249014i
\(86\) −2.69249 8.31462i −0.290338 0.896589i
\(87\) 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 \(0.361304\pi\)
\(90\) −0.631505 0.569743i −0.0665665 0.0600562i
\(91\) 2.55550 + 4.42626i 0.267889 + 0.463998i
\(92\) 6.62153 + 9.15181i 0.690342 + 0.954142i
\(93\) −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 \(0.845830\pi\)
\(98\) 7.81417 + 7.04993i 0.789350 + 0.712151i
\(99\) −1.61332 + 0.931451i −0.162145 + 0.0936143i
\(100\) −7.30942 + 5.28853i −0.730942 + 0.528853i
\(101\) 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 \(-0.353066\pi\)
0.445388 + 0.895337i \(0.353066\pi\)
\(104\) 0.408860 3.78195i 0.0400921 0.370851i
\(105\) 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 \(-0.674850\pi\)
−0.522097 + 0.852886i \(0.674850\pi\)
\(108\) −0.862393 8.36442i −0.0829838 0.804866i
\(109\) −3.93314 2.27080i −0.376727 0.217503i 0.299666 0.954044i \(-0.403125\pi\)
−0.676393 + 0.736541i \(0.736458\pi\)
\(110\) −0.659936 2.03794i −0.0629224 0.194310i
\(111\) −2.23303 1.28924i −0.211950 0.122369i
\(112\) −3.10155 14.8812i −0.293069 1.40614i
\(113\) 3.21398i 0.302346i 0.988507 + 0.151173i \(0.0483050\pi\)
−0.988507 + 0.151173i \(0.951695\pi\)
\(114\) −7.75032 9.30666i −0.725884 0.871649i
\(115\) 3.94961i 0.368303i
\(116\) 11.7119 + 16.1873i 1.08742 + 1.50295i
\(117\) −1.00171 0.578339i −0.0926083 0.0534674i
\(118\) 8.83622 2.86139i 0.813440 0.263413i
\(119\) −12.4763 7.20320i −1.14370 0.660317i
\(120\) −3.86345 0.417671i −0.352683 0.0381280i
\(121\) 6.30816 0.573469
\(122\) −0.561890 + 2.63067i −0.0508711 + 0.238170i
\(123\) 14.8943 8.59924i 1.34298 0.775367i
\(124\) 1.59250 + 15.4458i 0.143011 + 1.38707i
\(125\) −6.65095 −0.594879
\(126\) −4.52020 0.965476i −0.402691 0.0860115i
\(127\) −1.91604 3.31867i −0.170021 0.294485i 0.768406 0.639963i \(-0.221050\pi\)
−0.938427 + 0.345478i \(0.887717\pi\)
\(128\) −4.67322 + 10.3034i −0.413058 + 0.910705i
\(129\) −10.5150 + 6.07082i −0.925792 + 0.534506i
\(130\) 0.890954 0.987537i 0.0781418 0.0866127i
\(131\) 9.15931 + 5.28813i 0.800253 + 0.462026i 0.843560 0.537036i \(-0.180456\pi\)
−0.0433066 + 0.999062i \(0.513789\pi\)
\(132\) −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
\(136\) 4.33205 + 9.80824i 0.371470 + 0.841050i
\(137\) −5.52875 9.57607i −0.472353 0.818139i 0.527147 0.849774i \(-0.323262\pi\)
−0.999499 + 0.0316351i \(0.989929\pi\)
\(138\) 10.5122 11.6518i 0.894860 0.991866i
\(139\) −3.10613 + 1.79333i −0.263459 + 0.152108i −0.625911 0.779894i \(-0.715273\pi\)
0.362453 + 0.932002i \(0.381939\pi\)
\(140\) 2.17140 4.85116i 0.183517 0.409998i
\(141\) 4.67531i 0.393732i
\(142\) 7.00743 2.26918i 0.588050 0.190426i
\(143\) −1.45659 2.52288i −0.121806 0.210974i
\(144\) 2.29177 + 2.56563i 0.190981 + 0.213802i
\(145\) 6.98589i 0.580146i
\(146\) −13.0800 + 4.23563i −1.08251 + 0.350543i
\(147\) 7.31051 12.6622i 0.602961 1.04436i
\(148\) −2.61097 + 0.269198i −0.214621 + 0.0221280i
\(149\) 6.79151 11.7632i 0.556382 0.963683i −0.441412 0.897304i \(-0.645522\pi\)
0.997795 0.0663781i \(-0.0211444\pi\)
\(150\) 9.30612 + 8.39597i 0.759842 + 0.685528i
\(151\) 17.1888 1.39880 0.699402 0.714728i \(-0.253450\pi\)
0.699402 + 0.714728i \(0.253450\pi\)
\(152\) −11.9454 3.05082i −0.968900 0.247454i
\(153\) 3.26033 0.263582
\(154\) −8.64339 7.79806i −0.696505 0.628385i
\(155\) −2.71459 + 4.70180i −0.218041 + 0.377658i
\(156\) −5.25683 + 0.541993i −0.420883 + 0.0433942i
\(157\) 0.626185 1.08458i 0.0499750 0.0865593i −0.839956 0.542655i \(-0.817419\pi\)
0.889931 + 0.456096i \(0.150752\pi\)
\(158\) −9.11462 + 2.95155i −0.725121 + 0.234812i
\(159\) 12.2894i 0.974616i
\(160\) −3.43556 + 1.96091i −0.271605 + 0.155024i
\(161\) 10.7319 + 18.5882i 0.845794 + 1.46496i
\(162\) −14.5851 + 4.72301i −1.14591 + 0.371075i
\(163\) 24.6001i 1.92683i −0.268010 0.963416i \(-0.586366\pi\)
0.268010 0.963416i \(-0.413634\pi\)
\(164\) 7.15260 15.9798i 0.558524 1.24781i
\(165\) −2.57725 + 1.48798i −0.200639 + 0.115839i
\(166\) −1.47328 + 1.63299i −0.114349 + 0.126745i
\(167\) 0.817122 + 1.41530i 0.0632308 + 0.109519i 0.895908 0.444240i \(-0.146526\pi\)
−0.832677 + 0.553759i \(0.813193\pi\)
\(168\) −19.3177 + 8.53212i −1.49039 + 0.658267i
\(169\) −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 \(0.723501\pi\)
\(174\) 18.5935 20.6092i 1.40957 1.56238i
\(175\) −14.8462 + 8.57144i −1.12226 + 0.647940i
\(176\) 1.76782 + 8.48200i 0.133255 + 0.639355i
\(177\) −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 \(-0.599006\pi\)
−0.306046 + 0.952017i \(0.599006\pi\)
\(180\) 0.123361 + 1.19649i 0.00919482 + 0.0891813i
\(181\) −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
\(184\) 1.71703 15.8825i 0.126581 1.17087i
\(185\) −0.794799 0.458878i −0.0584348 0.0337374i
\(186\) 20.5226 6.64574i 1.50479 0.487289i
\(187\) 7.11126 + 4.10569i 0.520027 + 0.300237i
\(188\) −2.78983 3.85590i −0.203469 0.281220i
\(189\) 15.9777i 1.16220i
\(190\) −2.75856 3.31250i −0.200127 0.240314i
\(191\) 22.9897i 1.66348i −0.555167 0.831739i \(-0.687346\pi\)
0.555167 0.831739i \(-0.312654\pi\)
\(192\) 15.3544 + 3.35914i 1.10811 + 0.242425i
\(193\) −5.10454 2.94711i −0.367433 0.212138i 0.304903 0.952383i \(-0.401376\pi\)
−0.672336 + 0.740246i \(0.734709\pi\)
\(194\) 4.57939 + 14.1415i 0.328781 + 1.01530i
\(195\) −1.60022 0.923885i −0.114594 0.0661608i
\(196\) −1.52646 14.8053i −0.109033 1.05752i
\(197\) 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 \(0.703567\pi\)
−0.993288 + 0.115667i \(0.963100\pi\)
\(200\) 12.6851 + 1.37136i 0.896972 + 0.0969701i
\(201\) 10.5818 0.746385
\(202\) 2.03311 9.51867i 0.143049 0.669731i
\(203\) 18.9821 + 32.8780i 1.33228 + 2.30758i
\(204\) 12.0684 8.73177i 0.844959 0.611346i
\(205\) 5.30131 3.06071i 0.370259 0.213769i
\(206\) −9.49267 8.56427i −0.661386 0.596701i
\(207\) −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 −0.982908 0.184095i \(-0.941065\pi\)
0.650885 + 0.759176i \(0.274398\pi\)
\(212\) −7.33329 10.1356i −0.503652 0.696112i
\(213\) −5.11639 8.86185i −0.350569 0.607204i
\(214\) 11.3416 + 10.2324i 0.775295 + 0.699470i
\(215\) −3.74257 + 2.16078i −0.255241 + 0.147364i
\(216\) −7.01836 + 9.59984i −0.477539 + 0.653187i
\(217\) 29.5044i 2.00289i
\(218\) 1.97870 + 6.11041i 0.134015 + 0.413849i
\(219\) 9.55019 + 16.5414i 0.645342 + 1.11777i
\(220\) −1.23765 + 2.76507i −0.0834427 + 0.186421i
\(221\) 5.09845i 0.342959i
\(222\) 1.12341 + 3.46917i 0.0753980 + 0.232835i
\(223\) −6.58104 + 11.3987i −0.440699 + 0.763313i −0.997741 0.0671707i \(-0.978603\pi\)
0.557042 + 0.830484i \(0.311936\pi\)
\(224\) −10.8408 + 18.5639i −0.724328 + 1.24035i
\(225\) 1.93981 3.35986i 0.129321 0.223990i
\(226\) 3.04471 3.37477i 0.202531 0.224486i
\(227\) 11.2971 0.749812 0.374906 0.927063i \(-0.377675\pi\)
0.374906 + 0.927063i \(0.377675\pi\)
\(228\) −0.678460 + 17.1144i −0.0449321 + 1.13343i
\(229\) 19.7651 1.30611 0.653056 0.757309i \(-0.273486\pi\)
0.653056 + 0.757309i \(0.273486\pi\)
\(230\) 3.74160 4.14720i 0.246714 0.273458i
\(231\) −8.08629 + 14.0059i −0.532039 + 0.921518i
\(232\) 3.03700 28.0922i 0.199389 1.84434i
\(233\) 1.67765 2.90577i 0.109906 0.190364i −0.805826 0.592153i \(-0.798278\pi\)
0.915732 + 0.401789i \(0.131612\pi\)
\(234\) 0.503946 + 1.55623i 0.0329440 + 0.101734i
\(235\) 1.66407i 0.108552i
\(236\) −11.9890 5.36631i −0.780416 0.349317i
\(237\) 6.65493 + 11.5267i 0.432284 + 0.748739i
\(238\) 6.27664 + 19.3828i 0.406854 + 1.25640i
\(239\) 3.63575i 0.235177i −0.993062 0.117589i \(-0.962484\pi\)
0.993062 0.117589i \(-0.0375164\pi\)
\(240\) 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 \(0.0568696\pi\)
\(242\) −6.62374 5.97593i −0.425790 0.384147i
\(243\) 4.34254 + 7.52150i 0.278574 + 0.482504i
\(244\) 3.08213 2.22998i 0.197313 0.142760i
\(245\) 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
\(250\) 6.98369 + 6.30067i 0.441687 + 0.398489i
\(251\) −9.84744 + 5.68542i −0.621565 + 0.358861i −0.777478 0.628910i \(-0.783501\pi\)
0.155913 + 0.987771i \(0.450168\pi\)
\(252\) 3.83171 + 5.29591i 0.241375 + 0.333611i
\(253\) −6.11699 10.5949i −0.384572 0.666098i
\(254\) −1.13200 + 5.29983i −0.0710279 + 0.332541i
\(255\) 5.20832 0.326158
\(256\) 14.6678 6.39181i 0.916738 0.399488i
\(257\) 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
\(260\) −1.87105 + 0.192910i −0.116038 + 0.0119638i
\(261\) −7.44067 4.29587i −0.460566 0.265908i
\(262\) −4.60791 14.2296i −0.284678 0.879109i
\(263\) −3.60012 2.07853i −0.221993 0.128168i 0.384880 0.922967i \(-0.374243\pi\)
−0.606873 + 0.794799i \(0.707576\pi\)
\(264\) 11.0107 4.86314i 0.677662 0.299306i
\(265\) 4.37416i 0.268702i
\(266\) −21.9835 8.09421i −1.34790 0.496288i
\(267\) 3.25323i 0.199094i
\(268\) 8.72722 6.31433i 0.533100 0.385709i
\(269\) 7.70327 + 4.44749i 0.469677 + 0.271168i 0.716104 0.697993i \(-0.245923\pi\)
−0.246428 + 0.969161i \(0.579257\pi\)
\(270\) −3.95568 + 1.28095i −0.240735 + 0.0779560i
\(271\) −6.29378 3.63372i −0.382320 0.220733i 0.296507 0.955031i \(-0.404178\pi\)
−0.678827 + 0.734298i \(0.737511\pi\)
\(272\) 4.74291 14.4028i 0.287581 0.873299i
\(273\) −10.0416 −0.607744
\(274\) −3.26640 + 15.2927i −0.197330 + 0.923867i
\(275\) 8.46203 4.88555i 0.510279 0.294610i
\(276\) −22.0763 + 2.27612i −1.32884 + 0.137006i
\(277\) −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
\(280\) −6.87570 + 3.03682i −0.410902 + 0.181485i
\(281\) −10.8126 + 6.24263i −0.645023 + 0.372404i −0.786547 0.617531i \(-0.788133\pi\)
0.141524 + 0.989935i \(0.454800\pi\)
\(282\) −4.42908 + 4.90921i −0.263748 + 0.292339i
\(283\) −13.8841 8.01598i −0.825323 0.476501i 0.0269255 0.999637i \(-0.491428\pi\)
−0.852249 + 0.523137i \(0.824762\pi\)
\(284\) −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
\(288\) 0.0240845 4.86505i 0.00141919 0.286676i
\(289\) 1.31448 + 2.27675i 0.0773226 + 0.133927i
\(290\) 6.61796 7.33538i 0.388620 0.430748i
\(291\) 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 \(-0.0730347\pi\)
\(294\) −19.6715 + 6.37015i −1.14727 + 0.371515i
\(295\) −2.29633 3.97736i −0.133697 0.231571i
\(296\) 2.99662 + 2.19080i 0.174175 + 0.127338i
\(297\) 9.10696i 0.528439i
\(298\) −18.2750 + 5.91791i −1.05864 + 0.342815i
\(299\) 3.79805 6.57841i 0.219647 0.380439i
\(300\) −1.81791 17.6320i −0.104957 1.01798i
\(301\) −11.7426 + 20.3387i −0.676831 + 1.17231i
\(302\) −18.0487 16.2835i −1.03859 0.937012i
\(303\) −13.5221 −0.776825
\(304\) 9.65286 + 14.5197i 0.553630 + 0.832763i
\(305\) 1.33014 0.0761636
\(306\) −3.42344 3.08862i −0.195705 0.176565i
\(307\) 1.14144 1.97702i 0.0651452 0.112835i −0.831613 0.555355i \(-0.812582\pi\)
0.896758 + 0.442521i \(0.145916\pi\)
\(308\) 1.68844 + 16.3764i 0.0962081 + 0.933130i
\(309\) −8.88083 + 15.3820i −0.505212 + 0.875054i
\(310\) 7.30457 2.36540i 0.414872 0.134346i
\(311\) 10.6062i 0.601420i 0.953716 + 0.300710i \(0.0972236\pi\)
−0.953716 + 0.300710i \(0.902776\pi\)
\(312\) 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 \(-0.574792\pi\)
\(314\) −1.68498 + 0.545638i −0.0950887 + 0.0307921i
\(315\) 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 \(0.547364\pi\)
\(318\) −11.6422 + 12.9043i −0.652862 + 0.723635i
\(319\) −10.8194 18.7398i −0.605773 1.04923i
\(320\) 5.46507 + 1.19561i 0.305507 + 0.0668368i
\(321\) 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
\(326\) −23.3045 + 25.8308i −1.29072 + 1.43064i
\(327\) 7.72744 4.46144i 0.427329 0.246718i
\(328\) −22.6486 + 10.0033i −1.25056 + 0.552340i
\(329\) −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 \(-0.311214\pi\)
0.558924 + 0.829219i \(0.311214\pi\)
\(332\) 3.09397 0.318996i 0.169804 0.0175072i
\(333\) 0.977502 0.564361i 0.0535668 0.0309268i
\(334\) 0.482758 2.26019i 0.0264153 0.123672i
\(335\) 3.76637 0.205779
\(336\) 28.3669 + 9.34131i 1.54754 + 0.509611i
\(337\) 3.96146 + 2.28715i 0.215794 + 0.124589i 0.604001 0.796983i \(-0.293572\pi\)
−0.388207 + 0.921572i \(0.626905\pi\)
\(338\) 15.0570 4.87583i 0.818992 0.265210i
\(339\) −5.46852 3.15725i −0.297009 0.171478i
\(340\) 4.29549 3.10788i 0.232956 0.168549i
\(341\) 16.8170i 0.910689i
\(342\) 5.22448 0.901163i 0.282508 0.0487293i
\(343\) 1.67920i 0.0906685i
\(344\) 15.9893 7.06205i 0.862084 0.380760i
\(345\) −6.72017 3.87989i −0.361802 0.208886i
\(346\) 2.03552 + 6.28584i 0.109430 + 0.337929i
\(347\) 23.3858 + 13.5018i 1.25541 + 0.724813i 0.972179 0.234237i \(-0.0752593\pi\)
0.283234 + 0.959051i \(0.408593\pi\)
\(348\) −39.0475 + 4.02590i −2.09316 + 0.215811i
\(349\) 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
\(352\) 6.17902 10.5811i 0.329343 0.563972i
\(353\) 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
\(356\) −1.94125 2.68306i −0.102886 0.142202i
\(357\) 24.5122 14.1521i 1.29732 0.749010i
\(358\) 8.59894 + 7.75795i 0.454468 + 0.410020i
\(359\) 7.79191 + 4.49866i 0.411241 + 0.237430i 0.691323 0.722546i \(-0.257028\pi\)
−0.280082 + 0.959976i \(0.590362\pi\)
\(360\) 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
\(364\) −8.28165 + 5.99195i −0.434077 + 0.314064i
\(365\) 3.39918 + 5.88755i 0.177921 + 0.308169i
\(366\) −3.92406 3.54028i −0.205114 0.185054i
\(367\) −12.6429 + 7.29936i −0.659952 + 0.381024i −0.792259 0.610185i \(-0.791095\pi\)
0.132306 + 0.991209i \(0.457762\pi\)
\(368\) −16.8489 + 15.0504i −0.878310 + 0.784558i
\(369\) 7.52857i 0.391922i
\(370\) 0.399851 + 1.23477i 0.0207873 + 0.0641929i
\(371\) −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 \(0.946109\pi\)
\(374\) −3.57756 11.0478i −0.184991 0.571269i
\(375\) 6.53356 11.3165i 0.337391 0.584379i
\(376\) −0.723428 + 6.69170i −0.0373079 + 0.345098i
\(377\) 6.71781 11.6356i 0.345985 0.599263i
\(378\) −15.1362 + 16.7770i −0.778521 + 0.862916i
\(379\) −35.9856 −1.84846 −0.924229 0.381838i \(-0.875291\pi\)
−0.924229 + 0.381838i \(0.875291\pi\)
\(380\) −0.241483 + 6.09149i −0.0123878 + 0.312487i
\(381\) 7.52887 0.385716
\(382\) −21.7789 + 24.1399i −1.11431 + 1.23510i
\(383\) 5.97796 10.3541i 0.305459 0.529071i −0.671904 0.740638i \(-0.734523\pi\)
0.977364 + 0.211567i \(0.0678566\pi\)
\(384\) −12.9404 18.0730i −0.660360 0.922282i
\(385\) −2.87814 + 4.98508i −0.146683 + 0.254063i
\(386\) 2.56802 + 7.93025i 0.130709 + 0.403639i
\(387\) 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 \(0.701659\pi\)
\(390\) 0.805044 + 2.48604i 0.0407650 + 0.125886i
\(391\) 21.4111i 1.08281i
\(392\) −12.4227 + 16.9920i −0.627440 + 0.858225i
\(393\) −17.9953 + 10.3896i −0.907742 + 0.524085i
\(394\) −2.63715 2.37923i −0.132858 0.119864i
\(395\) 2.36868 + 4.10267i 0.119181 + 0.206428i
\(396\) −2.18400 3.01857i −0.109750 0.151689i
\(397\) 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 \(0.490808\pi\)
\(402\) −11.1112 10.0245i −0.554177 0.499978i
\(403\) 9.04275 5.22083i 0.450451 0.260068i
\(404\) −11.1522 + 8.06884i −0.554842 + 0.401440i
\(405\) 3.79032 + 6.56502i 0.188342 + 0.326218i
\(406\) 11.2147 52.5053i 0.556575 2.60579i
\(407\) 2.84276 0.140910
\(408\) −20.9441 2.26423i −1.03689 0.112096i
\(409\) −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
\(412\) 1.85435 + 17.9855i 0.0913571 + 0.886080i
\(413\) −21.6146 12.4792i −1.06359 0.614062i
\(414\) 2.11634 + 6.53544i 0.104013 + 0.321199i
\(415\) 0.941827 + 0.543764i 0.0462325 + 0.0266923i
\(416\) 7.60788 + 0.0376629i 0.373007 + 0.00184658i
\(417\) 7.04669i 0.345078i
\(418\) 12.5302 + 4.61354i 0.612871 + 0.225656i
\(419\) 24.8783i 1.21539i 0.794172 + 0.607693i \(0.207905\pi\)
−0.794172 + 0.607693i \(0.792095\pi\)
\(420\) 6.12108 + 8.46012i 0.298678 + 0.412812i
\(421\) 6.32937 + 3.65427i 0.308475 + 0.178098i 0.646244 0.763131i \(-0.276339\pi\)
−0.337769 + 0.941229i \(0.609672\pi\)
\(422\) 12.9778 4.20254i 0.631749 0.204576i
\(423\) 1.77241 + 1.02330i 0.0861773 + 0.0497545i
\(424\) −1.90159 + 17.5897i −0.0923494 + 0.854231i
\(425\) −17.1008 −0.829510
\(426\) −3.02277 + 14.1521i −0.146454 + 0.685672i
\(427\) 6.26011 3.61427i 0.302948 0.174907i
\(428\) −2.21552 21.4885i −0.107091 1.03869i
\(429\) 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 \(-0.819303\pi\)
−0.0440620 0.999029i \(-0.514030\pi\)
\(432\) 16.4637 3.43138i 0.792111 0.165092i
\(433\) 20.7596 11.9856i 0.997643 0.575989i 0.0900928 0.995933i \(-0.471284\pi\)
0.907550 + 0.419944i \(0.137950\pi\)
\(434\) 27.9505 30.9805i 1.34167 1.48711i
\(435\) −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 −0.989447 0.144896i \(-0.953715\pi\)
0.620207 + 0.784438i \(0.287049\pi\)
\(440\) 3.91902 1.73093i 0.186832 0.0825188i
\(441\) 3.20015 + 5.54282i 0.152388 + 0.263944i
\(442\) 4.82993 5.35352i 0.229737 0.254641i
\(443\) −24.6029 + 14.2045i −1.16892 + 0.674877i −0.953426 0.301628i \(-0.902470\pi\)
−0.215495 + 0.976505i \(0.569136\pi\)
\(444\) 2.10685 4.70696i 0.0999868 0.223383i
\(445\) 1.15792i 0.0548905i
\(446\) 17.7087 5.73451i 0.838529 0.271537i
\(447\) 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 \(-0.203831\pi\)
\(450\) −5.21976 + 1.69029i −0.246062 + 0.0796811i
\(451\) −9.48060 + 16.4209i −0.446424 + 0.773229i
\(452\) −6.39407 + 0.659245i −0.300752 + 0.0310083i
\(453\) −16.8854 + 29.2464i −0.793346 + 1.37411i
\(454\) −11.8622 10.7021i −0.556722 0.502274i
\(455\) −3.57408 −0.167555
\(456\) 16.9254 17.3279i 0.792607 0.811452i
\(457\) −18.5110 −0.865908 −0.432954 0.901416i \(-0.642529\pi\)
−0.432954 + 0.901416i \(0.642529\pi\)
\(458\) −20.7539 18.7241i −0.969765 0.874921i
\(459\) 7.96922 13.8031i 0.371971 0.644273i
\(460\) −7.85756 + 0.810135i −0.366361 + 0.0377727i
\(461\) −7.93486 + 13.7436i −0.369563 + 0.640102i −0.989497 0.144552i \(-0.953826\pi\)
0.619934 + 0.784654i \(0.287159\pi\)
\(462\) 21.7591 7.04614i 1.01232 0.327816i
\(463\) 7.51954i 0.349463i 0.984616 + 0.174731i \(0.0559057\pi\)
−0.984616 + 0.174731i \(0.944094\pi\)
\(464\) −29.8016 + 26.6205i −1.38350 + 1.23583i
\(465\) −5.33334 9.23762i −0.247328 0.428384i
\(466\) −4.51431 + 1.46185i −0.209122 + 0.0677189i
\(467\) 4.97698i 0.230307i 0.993348 + 0.115154i \(0.0367360\pi\)
−0.993348 + 0.115154i \(0.963264\pi\)
\(468\) 0.945109 2.11149i 0.0436877 0.0976035i
\(469\) 17.7259 10.2340i 0.818504 0.472563i
\(470\) −1.57643 + 1.74732i −0.0727154 + 0.0805981i
\(471\) 1.23027 + 2.13088i 0.0566876 + 0.0981858i
\(472\) 7.50508 + 16.9923i 0.345449 + 0.782135i
\(473\) 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
\(478\) −3.44427 + 3.81764i −0.157537 + 0.174615i
\(479\) 25.3467 14.6339i 1.15812 0.668640i 0.207267 0.978284i \(-0.433543\pi\)
0.950853 + 0.309644i \(0.100210\pi\)
\(480\) 0.0384746 7.77184i 0.00175612 0.354734i
\(481\) 0.882537 + 1.52860i 0.0402402 + 0.0696981i
\(482\) −32.7800 7.00154i −1.49309 0.318912i
\(483\) −42.1700 −1.91880
\(484\) 1.29392 + 12.5498i 0.0588143 + 0.570445i
\(485\) 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 \(-0.659521\pi\)
−0.480436 + 0.877030i \(0.659521\pi\)
\(488\) −5.34886 0.578256i −0.242131 0.0261764i
\(489\) 41.8566 + 24.1659i 1.89282 + 1.09282i
\(490\) −7.00166 + 2.26731i −0.316303 + 0.102427i
\(491\) −1.20406 0.695164i −0.0543384 0.0313723i 0.472585 0.881285i \(-0.343321\pi\)
−0.526923 + 0.849913i \(0.676654\pi\)
\(492\) 20.1629 + 27.8677i 0.909013 + 1.25637i
\(493\) 37.8710i 1.70563i
\(494\) 1.40922 + 8.16995i 0.0634039 + 0.367584i
\(495\) 1.30271i 0.0585525i
\(496\) −30.4020 + 6.33640i −1.36509 + 0.284513i
\(497\) −17.1412 9.89645i −0.768886 0.443917i
\(498\) −1.33122 4.11092i −0.0596534 0.184215i
\(499\) 6.38061 + 3.68385i 0.285635 + 0.164912i 0.635972 0.771712i \(-0.280599\pi\)
−0.350336 + 0.936624i \(0.613933\pi\)
\(500\) −1.36423 13.2318i −0.0610102 0.591742i
\(501\) −3.21080 −0.143448
\(502\) 15.7261 + 3.35896i 0.701889 + 0.149918i
\(503\) 11.7917 6.80795i 0.525767 0.303552i −0.213524 0.976938i \(-0.568494\pi\)
0.739291 + 0.673386i \(0.235161\pi\)
\(504\) 0.993597 9.19076i 0.0442584 0.409389i
\(505\) −4.81290 −0.214171
\(506\) −3.61393 + 16.9198i −0.160659 + 0.752177i
\(507\) −10.9937 19.0416i −0.488246 0.845667i
\(508\) 6.20933 4.49259i 0.275495 0.199326i
\(509\) −11.4661 + 6.61997i −0.508227 + 0.293425i −0.732104 0.681192i \(-0.761462\pi\)
0.223878 + 0.974617i \(0.428128\pi\)
\(510\) −5.46888 4.93402i −0.242166 0.218482i
\(511\) 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
\(516\) −14.2344 19.6738i −0.626636 0.866092i
\(517\) 2.57725 + 4.46393i 0.113347 + 0.196323i
\(518\) 5.23699 + 4.72480i 0.230100 + 0.207596i
\(519\) 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 \(-0.114179\pi\)
\(522\) 3.74329 + 11.5596i 0.163839 + 0.505949i
\(523\) 2.74232 + 4.74984i 0.119913 + 0.207696i 0.919733 0.392544i \(-0.128405\pi\)
−0.799820 + 0.600240i \(0.795072\pi\)
\(524\) −8.64176 + 19.3067i −0.377517 + 0.843418i
\(525\) 33.6806i 1.46994i
\(526\) 1.81116 + 5.59303i 0.0789705 + 0.243868i
\(527\) −14.7160 + 25.4888i −0.641039 + 1.11031i
\(528\) −16.1686 5.32437i −0.703646 0.231713i
\(529\) 4.45005 7.70771i 0.193480 0.335118i
\(530\) −4.14379 + 4.59299i −0.179995 + 0.199507i
\(531\) 5.64838 0.245119
\(532\) 15.4154 + 29.3249i 0.668342 + 1.27139i
\(533\) −11.7730 −0.509947
\(534\) −3.08189 + 3.41598i −0.133367 + 0.147824i
\(535\) 3.77660 6.54127i 0.163277 0.282804i
\(536\) −15.1456 1.63737i −0.654191 0.0707234i
\(537\) 8.04470 13.9338i 0.347154 0.601289i
\(538\) −3.87540 11.9676i −0.167080 0.515958i
\(539\) 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 \(-0.506919\pi\)
\(542\) 3.16630 + 9.77781i 0.136004 + 0.419993i
\(543\) 37.5712i 1.61233i
\(544\) −18.6245 + 10.6303i −0.798517 + 0.455768i
\(545\) 2.75041 1.58795i 0.117815 0.0680204i
\(546\) 10.5439 + 9.51272i 0.451239 + 0.407107i
\(547\) −8.11367 14.0533i −0.346916 0.600875i 0.638784 0.769386i \(-0.279438\pi\)
−0.985700 + 0.168511i \(0.946104\pi\)
\(548\) 17.9171 12.9634i 0.765381 0.553770i
\(549\) −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
\(554\) 8.59974 + 7.75867i 0.365368 + 0.329634i
\(555\) 1.56154 0.901556i 0.0662837 0.0382689i
\(556\) −4.20486 5.81167i −0.178326 0.246470i
\(557\) 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
\(560\) 10.0966 + 3.32484i 0.426658 + 0.140500i
\(561\) −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 \(-0.476752\pi\)
0.0729704 + 0.997334i \(0.476752\pi\)
\(564\) 9.30131 0.958989i 0.391656 0.0403807i
\(565\) −1.94640 1.12375i −0.0818856 0.0472767i
\(566\) 6.98487 + 21.5699i 0.293596 + 0.906649i
\(567\) 35.6771 + 20.5982i 1.49830 + 0.865043i
\(568\) 5.95178 + 13.4755i 0.249731 + 0.565420i
\(569\) 23.9727i 1.00499i 0.864580 + 0.502495i \(0.167584\pi\)
−0.864580 + 0.502495i \(0.832416\pi\)
\(570\) 8.34602 1.43959i 0.349576 0.0602979i
\(571\) 2.19178i 0.0917230i −0.998948 0.0458615i \(-0.985397\pi\)
0.998948 0.0458615i \(-0.0146033\pi\)
\(572\) 4.72038 3.41530i 0.197369 0.142801i
\(573\) 39.1165 + 22.5839i 1.63412 + 0.943457i
\(574\) −44.7576 + 14.4936i −1.86815 + 0.604953i
\(575\) 22.0647 + 12.7391i 0.920163 + 0.531256i
\(576\) −4.63412 + 5.08563i −0.193088 + 0.211901i
\(577\) −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
\(580\) −13.8981 + 1.43293i −0.577087 + 0.0594992i
\(581\) 5.91009 0.245192
\(582\) −28.5601 6.10019i −1.18385 0.252861i
\(583\) 6.77451 + 11.7338i 0.280572 + 0.485964i
\(584\) −11.1095 25.1532i −0.459715 1.04085i
\(585\) 0.700488 0.404427i 0.0289616 0.0167210i
\(586\) −7.37613 + 8.17573i −0.304705 + 0.337736i
\(587\) −38.4523 22.2004i −1.58710 0.916310i −0.993783 0.111338i \(-0.964486\pi\)
−0.593313 0.804972i \(-0.702180\pi\)
\(588\) 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
\(592\) −1.07111 5.13920i −0.0440226 0.211220i
\(593\) 21.5901 + 37.3952i 0.886600 + 1.53564i 0.843868 + 0.536551i \(0.180273\pi\)
0.0427323 + 0.999087i \(0.486394\pi\)
\(594\) 8.62733 9.56256i 0.353984 0.392357i
\(595\) 8.72458 5.03714i 0.357673 0.206502i
\(596\) 24.7955 + 11.0986i 1.01566 + 0.454614i
\(597\) 50.8882i 2.08271i
\(598\) −10.2200 + 3.30950i −0.417927 + 0.135335i
\(599\) −0.631476 1.09375i −0.0258014 0.0446894i 0.852836 0.522178i \(-0.174880\pi\)
−0.878638 + 0.477489i \(0.841547\pi\)
\(600\) −14.7945 + 20.2363i −0.603985 + 0.826142i
\(601\) 44.5502i 1.81724i −0.417623 0.908620i \(-0.637137\pi\)
0.417623 0.908620i \(-0.362863\pi\)
\(602\) 31.5976 10.2321i 1.28782 0.417030i
\(603\) −2.31608 + 4.01156i −0.0943179 + 0.163363i
\(604\) 3.52573 + 34.1963i 0.143460 + 1.39143i
\(605\) −2.20562 + 3.82024i −0.0896712 + 0.155315i
\(606\) 14.1986 + 12.8099i 0.576778 + 0.520369i
\(607\) 38.9798 1.58214 0.791070 0.611725i \(-0.209524\pi\)
0.791070 + 0.611725i \(0.209524\pi\)
\(608\) 3.61924 24.3906i 0.146780 0.989169i
\(609\) −74.5883 −3.02247
\(610\) −1.39668 1.26009i −0.0565501 0.0510194i
\(611\) −1.60022 + 2.77166i −0.0647378 + 0.112129i
\(612\) 0.668753 + 6.48628i 0.0270327 + 0.262192i
\(613\) 1.77359 3.07196i 0.0716348 0.124075i −0.827983 0.560753i \(-0.810512\pi\)
0.899618 + 0.436678i \(0.143845\pi\)
\(614\) −3.07144 + 0.994611i −0.123953 + 0.0401392i
\(615\) 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 \(0.541526\pi\)
\(618\) 23.8970 7.73847i 0.961280 0.311287i
\(619\) 5.58415i 0.224446i 0.993683 + 0.112223i \(0.0357971\pi\)
−0.993683 + 0.112223i \(0.964203\pi\)
\(620\) −9.91083 4.43612i −0.398028 0.178159i
\(621\) −20.5650 + 11.8732i −0.825244 + 0.476455i
\(622\) 10.0476 11.1368i 0.402871 0.446544i
\(623\) −3.14630 5.44956i −0.126054 0.218332i
\(624\) −2.15654 10.3470i −0.0863307 0.414213i
\(625\) −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
\(630\) 2.16516 2.39988i 0.0862622 0.0956133i
\(631\) 19.8544 11.4629i 0.790390 0.456332i −0.0497097 0.998764i \(-0.515830\pi\)
0.840100 + 0.542432i \(0.182496\pi\)
\(632\) −7.74154 17.5277i −0.307942 0.697215i
\(633\) −9.47557 16.4122i −0.376620 0.652325i
\(634\) 30.6746 + 6.55185i 1.21825 + 0.260207i
\(635\) 2.67974 0.106342
\(636\) 24.4493 2.52078i 0.969477 0.0999555i
\(637\) −8.66776 + 5.00433i −0.343429 + 0.198279i
\(638\) −6.39215 + 29.9270i −0.253068 + 1.18482i
\(639\) 4.47936 0.177201
\(640\) −4.60584 6.43268i −0.182062 0.254274i
\(641\) −10.9179 6.30344i −0.431230 0.248971i 0.268640 0.963241i \(-0.413426\pi\)
−0.699871 + 0.714270i \(0.746759\pi\)
\(642\) −28.5516 + 9.24572i −1.12684 + 0.364899i
\(643\) −13.9691 8.06508i −0.550889 0.318056i 0.198592 0.980082i \(-0.436363\pi\)
−0.749480 + 0.662027i \(0.769697\pi\)
\(644\) −34.7791 + 25.1635i −1.37049 + 0.991579i
\(645\) 8.49055i 0.334315i
\(646\) −14.9544 17.9573i −0.588371 0.706522i
\(647\) 16.5815i 0.651885i 0.945390 + 0.325942i \(0.105682\pi\)
−0.945390 + 0.325942i \(0.894318\pi\)
\(648\) −12.3879 28.0475i −0.486641 1.10181i
\(649\) 12.3199 + 7.11291i 0.483599 + 0.279206i
\(650\) −2.64325 8.16257i −0.103677 0.320162i
\(651\) −50.2012 28.9837i −1.96754 1.13596i
\(652\) 48.9409 5.04593i 1.91667 0.197614i
\(653\) 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
\(656\) 33.2581 + 10.9520i 1.29851 + 0.427605i
\(657\) −8.36112 −0.326198
\(658\) −2.67140 + 12.5070i −0.104142 + 0.487575i
\(659\) 11.8246 + 20.4808i 0.460620 + 0.797817i 0.998992 0.0448903i \(-0.0142938\pi\)
−0.538372 + 0.842707i \(0.680960\pi\)
\(660\) −3.48890 4.82211i −0.135805 0.187700i
\(661\) 2.32766 1.34388i 0.0905356 0.0522707i −0.454049 0.890977i \(-0.650021\pi\)
0.544584 + 0.838706i \(0.316687\pi\)
\(662\) −21.3549 19.2664i −0.829982 0.748808i
\(663\) −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
\(668\) −2.64806 + 1.91593i −0.102457 + 0.0741296i
\(669\) −12.9298 22.3950i −0.499893 0.865841i
\(670\) −3.95479 3.56801i −0.152787 0.137844i
\(671\) −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 \(0.865946\pi\)
\(674\) −1.99295 6.15439i −0.0767655 0.237058i
\(675\) −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 \(0.973552\pi\)
\(678\) 2.75113 + 8.49571i 0.105656 + 0.326276i
\(679\) 19.9718 34.5922i 0.766447 1.32753i
\(680\) −7.45459 0.805903i −0.285871 0.0309050i
\(681\) −11.0977 + 19.2217i −0.425263 + 0.736577i
\(682\) −15.9313 + 17.6583i −0.610040 + 0.676170i
\(683\) −1.45793 −0.0557860 −0.0278930 0.999611i \(-0.508880\pi\)
−0.0278930 + 0.999611i \(0.508880\pi\)
\(684\) −6.33956 4.00308i −0.242399 0.153062i
\(685\) 7.73241 0.295440
\(686\) −1.59077 + 1.76321i −0.0607357 + 0.0673197i
\(687\) −19.4162 + 33.6298i −0.740774 + 1.28306i
\(688\) −23.4793 7.73183i −0.895140 0.294773i
\(689\) −4.20630 + 7.28553i −0.160247 + 0.277557i
\(690\) 3.38082 + 10.4402i 0.128705 + 0.397453i
\(691\) 11.5350i 0.438811i −0.975634 0.219405i \(-0.929588\pi\)
0.975634 0.219405i \(-0.0704118\pi\)
\(692\) 3.81744 8.52862i 0.145117 0.324210i
\(693\) −3.53974 6.13101i −0.134464 0.232898i
\(694\) −11.7650 36.3314i −0.446594 1.37912i
\(695\) 2.50812i 0.0951383i
\(696\) 44.8148 + 32.7637i 1.69870 + 1.24190i
\(697\) 28.7388 16.5924i 1.08856 0.628481i
\(698\) −12.6440 11.4074i −0.478582 0.431776i
\(699\) 3.29607 + 5.70897i 0.124669 + 0.215933i
\(700\) −20.0977 27.7776i −0.759621 1.04989i
\(701\) 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
\(706\) −26.9367 24.3023i −1.01378 0.914628i
\(707\) −22.6512 + 13.0777i −0.851885 + 0.491836i
\(708\) 20.9080 15.1274i 0.785771 0.568522i
\(709\) 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
\(712\) −0.503384 + 4.65630i −0.0188651 + 0.174502i
\(713\) 37.9754 21.9251i 1.42219 0.821101i
\(714\) −39.1453 8.36110i −1.46497 0.312906i
\(715\) 2.03715 0.0761853
\(716\) −1.67976 16.2921i −0.0627756 0.608865i
\(717\) 6.18616 + 3.57158i 0.231026 + 0.133383i
\(718\) −3.91999 12.1053i −0.146293 0.451764i
\(719\) −30.4414 17.5754i −1.13527 0.655450i −0.190017 0.981781i \(-0.560854\pi\)
−0.945256 + 0.326331i \(0.894188\pi\)
\(720\) −2.35506 + 0.490844i −0.0877680 + 0.0182927i
\(721\) 34.3557i 1.27947i
\(722\) 26.8592 0.764249i 0.999595 0.0284424i
\(723\) 46.5669i 1.73184i
\(724\) −22.4193 30.9863i −0.833206 1.15160i
\(725\) 39.0271 + 22.5323i 1.44943 + 0.836828i
\(726\) 16.6747 5.39971i 0.618858 0.200402i
\(727\) 0.627182 + 0.362104i 0.0232609 + 0.0134297i 0.511585 0.859232i \(-0.329058\pi\)
−0.488324 + 0.872662i \(0.662392\pi\)
\(728\) 14.3723 + 1.55377i 0.532675 + 0.0575865i
\(729\) 15.4578 0.572511
\(730\) 2.00824 9.40226i 0.0743284 0.347993i
\(731\) −20.2888 + 11.7137i −0.750408 + 0.433248i
\(732\) 0.766547 + 7.43480i 0.0283324 + 0.274798i
\(733\) −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
\(736\) 31.9496 + 0.158167i 1.17768 + 0.00583011i
\(737\) −10.1034 + 5.83320i −0.372163 + 0.214869i
\(738\) 7.13207 7.90521i 0.262535 0.290995i
\(739\) 26.8193 + 15.4841i 0.986565 + 0.569594i 0.904246 0.427012i \(-0.140434\pi\)
0.0823193 + 0.996606i \(0.473767\pi\)
\(740\) 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 −0.979878 0.199597i \(-0.936037\pi\)
0.662795 + 0.748801i \(0.269370\pi\)
\(744\) 17.4309 + 39.4656i 0.639049 + 1.44688i
\(745\) 4.74925 + 8.22593i 0.173999 + 0.301375i
\(746\) 6.16560 6.83398i 0.225739 0.250210i
\(747\) −1.15833 + 0.668760i −0.0423810 + 0.0244687i
\(748\) −6.70943 + 14.9897i −0.245321 + 0.548076i
\(749\) 41.0473i 1.49984i
\(750\) −17.5809 + 5.69313i −0.641963 + 0.207884i
\(751\) 21.6481 + 37.4955i 0.789949 + 1.36823i 0.925998 + 0.377530i \(0.123226\pi\)
−0.136049 + 0.990702i \(0.543440\pi\)
\(752\) 7.09889 6.34114i 0.258870 0.231238i
\(753\) 22.3403i 0.814125i
\(754\) −18.0767 + 5.85369i −0.658313 + 0.213179i
\(755\) −6.00999 + 10.4096i −0.218726 + 0.378844i
\(756\) 31.7868 3.27730i 1.15608 0.119194i
\(757\) −21.8940 + 37.9215i −0.795750 + 1.37828i 0.126612 + 0.991952i \(0.459590\pi\)
−0.922362 + 0.386327i \(0.873744\pi\)
\(758\) 37.7859 + 34.0904i 1.37245 + 1.23822i
\(759\) 24.0361 0.872454
\(760\) 6.02424 6.16748i 0.218522 0.223718i
\(761\) −40.4089 −1.46482 −0.732411 0.680862i \(-0.761605\pi\)
−0.732411 + 0.680862i \(0.761605\pi\)
\(762\) −7.90552 7.13235i −0.286387 0.258378i
\(763\) 8.62961 14.9469i 0.312413 0.541115i
\(764\) 45.7370 4.71560i 1.65471 0.170604i
\(765\) −1.13996 + 1.97447i −0.0412154 + 0.0713871i
\(766\) −16.0858 + 5.20900i −0.581205 + 0.188209i
\(767\) 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 \(0.974125\pi\)
\(770\) 7.74466 2.50792i 0.279098 0.0903791i
\(771\) 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