Properties

Label 570.2.u.c.481.1
Level $570$
Weight $2$
Character 570.481
Analytic conductor $4.551$
Analytic rank $0$
Dimension $6$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.u (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(6\)
Coefficient field: \(\Q(\zeta_{18})\)
Defining polynomial: \(x^{6} - x^{3} + 1\)
Coefficient ring: \(\Z[a_1, a_2]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 481.1
Root \(0.939693 + 0.342020i\) of defining polynomial
Character \(\chi\) \(=\) 570.481
Dual form 570.2.u.c.301.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.266044 - 0.460802i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +O(q^{10})\) \(q+(-0.766044 + 0.642788i) q^{2} +(-0.939693 - 0.342020i) q^{3} +(0.173648 - 0.984808i) q^{4} +(0.173648 + 0.984808i) q^{5} +(0.939693 - 0.342020i) q^{6} +(0.266044 - 0.460802i) q^{7} +(0.500000 + 0.866025i) q^{8} +(0.766044 + 0.642788i) q^{9} +(-0.766044 - 0.642788i) q^{10} +(-0.326352 - 0.565258i) q^{11} +(-0.500000 + 0.866025i) q^{12} +(0.439693 - 0.160035i) q^{13} +(0.0923963 + 0.524005i) q^{14} +(0.173648 - 0.984808i) q^{15} +(-0.939693 - 0.342020i) q^{16} +(0.439693 - 0.368946i) q^{17} -1.00000 q^{18} +(4.07398 - 1.55007i) q^{19} +1.00000 q^{20} +(-0.407604 + 0.342020i) q^{21} +(0.613341 + 0.223238i) q^{22} +(-1.09240 + 6.19529i) q^{23} +(-0.173648 - 0.984808i) q^{24} +(-0.939693 + 0.342020i) q^{25} +(-0.233956 + 0.405223i) q^{26} +(-0.500000 - 0.866025i) q^{27} +(-0.407604 - 0.342020i) q^{28} +(4.55303 + 3.82045i) q^{29} +(0.500000 + 0.866025i) q^{30} +(4.05303 - 7.02006i) q^{31} +(0.939693 - 0.342020i) q^{32} +(0.113341 + 0.642788i) q^{33} +(-0.0996702 + 0.565258i) q^{34} +(0.500000 + 0.181985i) q^{35} +(0.766044 - 0.642788i) q^{36} +4.17024 q^{37} +(-2.12449 + 3.80612i) q^{38} -0.467911 q^{39} +(-0.766044 + 0.642788i) q^{40} +(9.99660 + 3.63846i) q^{41} +(0.0923963 - 0.524005i) q^{42} +(0.578726 + 3.28212i) q^{43} +(-0.613341 + 0.223238i) q^{44} +(-0.500000 + 0.866025i) q^{45} +(-3.14543 - 5.44804i) q^{46} +(3.75490 + 3.15074i) q^{47} +(0.766044 + 0.642788i) q^{48} +(3.35844 + 5.81699i) q^{49} +(0.500000 - 0.866025i) q^{50} +(-0.539363 + 0.196312i) q^{51} +(-0.0812519 - 0.460802i) q^{52} +(-1.86097 + 10.5541i) q^{53} +(0.939693 + 0.342020i) q^{54} +(0.500000 - 0.419550i) q^{55} +0.532089 q^{56} +(-4.35844 + 0.0632028i) q^{57} -5.94356 q^{58} +(7.07398 - 5.93577i) q^{59} +(-0.939693 - 0.342020i) q^{60} +(-0.503404 + 2.85494i) q^{61} +(1.40760 + 7.98292i) q^{62} +(0.500000 - 0.181985i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.233956 + 0.405223i) q^{65} +(-0.500000 - 0.419550i) q^{66} +(-7.88326 - 6.61484i) q^{67} +(-0.286989 - 0.497079i) q^{68} +(3.14543 - 5.44804i) q^{69} +(-0.500000 + 0.181985i) q^{70} +(-1.17752 - 6.67804i) q^{71} +(-0.173648 + 0.984808i) q^{72} +(-0.247626 - 0.0901285i) q^{73} +(-3.19459 + 2.68058i) q^{74} +1.00000 q^{75} +(-0.819078 - 4.28125i) q^{76} -0.347296 q^{77} +(0.358441 - 0.300767i) q^{78} +(2.49273 + 0.907278i) q^{79} +(0.173648 - 0.984808i) q^{80} +(0.173648 + 0.984808i) q^{81} +(-9.99660 + 3.63846i) q^{82} +(-1.78699 + 3.09516i) q^{83} +(0.266044 + 0.460802i) q^{84} +(0.439693 + 0.368946i) q^{85} +(-2.55303 - 2.14225i) q^{86} +(-2.97178 - 5.14728i) q^{87} +(0.326352 - 0.565258i) q^{88} +(-3.72668 + 1.35640i) q^{89} +(-0.173648 - 0.984808i) q^{90} +(0.0432332 - 0.245188i) q^{91} +(5.91147 + 2.15160i) q^{92} +(-6.20961 + 5.21048i) q^{93} -4.90167 q^{94} +(2.23396 + 3.74292i) q^{95} -1.00000 q^{96} +(2.89440 - 2.42869i) q^{97} +(-6.31180 - 2.29731i) q^{98} +(0.113341 - 0.642788i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6q - 3q^{7} + 3q^{8} + O(q^{10}) \) \( 6q - 3q^{7} + 3q^{8} - 3q^{11} - 3q^{12} - 3q^{13} - 3q^{14} - 3q^{17} - 6q^{18} + 9q^{19} + 6q^{20} - 6q^{21} - 3q^{22} - 3q^{23} - 6q^{26} - 3q^{27} - 6q^{28} + 15q^{29} + 3q^{30} + 12q^{31} - 6q^{33} - 15q^{34} + 3q^{35} - 18q^{37} - 12q^{39} + 18q^{41} - 3q^{42} + 21q^{43} + 3q^{44} - 3q^{45} - 3q^{46} + 24q^{47} + 12q^{49} + 3q^{50} - 12q^{51} - 3q^{52} + 12q^{53} + 3q^{55} - 6q^{56} - 18q^{57} - 6q^{58} + 27q^{59} - 45q^{61} + 12q^{62} + 3q^{63} - 3q^{64} + 6q^{65} - 3q^{66} - 12q^{67} + 6q^{68} + 3q^{69} - 3q^{70} + 18q^{71} + 15q^{73} - 15q^{74} + 6q^{75} + 12q^{76} - 6q^{78} - 3q^{79} - 18q^{82} - 3q^{83} - 3q^{84} - 3q^{85} - 3q^{86} - 3q^{87} + 3q^{88} - 9q^{89} - 15q^{91} + 15q^{92} - 3q^{93} - 6q^{94} + 18q^{95} - 6q^{96} - 24q^{97} - 3q^{98} - 6q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{9}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.766044 + 0.642788i −0.541675 + 0.454519i
\(3\) −0.939693 0.342020i −0.542532 0.197465i
\(4\) 0.173648 0.984808i 0.0868241 0.492404i
\(5\) 0.173648 + 0.984808i 0.0776578 + 0.440419i
\(6\) 0.939693 0.342020i 0.383628 0.139629i
\(7\) 0.266044 0.460802i 0.100555 0.174167i −0.811358 0.584549i \(-0.801271\pi\)
0.911914 + 0.410382i \(0.134605\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) 0.766044 + 0.642788i 0.255348 + 0.214263i
\(10\) −0.766044 0.642788i −0.242245 0.203267i
\(11\) −0.326352 0.565258i −0.0983988 0.170432i 0.812623 0.582789i \(-0.198039\pi\)
−0.911022 + 0.412358i \(0.864705\pi\)
\(12\) −0.500000 + 0.866025i −0.144338 + 0.250000i
\(13\) 0.439693 0.160035i 0.121949 0.0443857i −0.280325 0.959905i \(-0.590442\pi\)
0.402274 + 0.915519i \(0.368220\pi\)
\(14\) 0.0923963 + 0.524005i 0.0246939 + 0.140046i
\(15\) 0.173648 0.984808i 0.0448358 0.254276i
\(16\) −0.939693 0.342020i −0.234923 0.0855050i
\(17\) 0.439693 0.368946i 0.106641 0.0894825i −0.587908 0.808928i \(-0.700048\pi\)
0.694549 + 0.719445i \(0.255604\pi\)
\(18\) −1.00000 −0.235702
\(19\) 4.07398 1.55007i 0.934635 0.355609i
\(20\) 1.00000 0.223607
\(21\) −0.407604 + 0.342020i −0.0889464 + 0.0746349i
\(22\) 0.613341 + 0.223238i 0.130765 + 0.0475945i
\(23\) −1.09240 + 6.19529i −0.227780 + 1.29181i 0.629518 + 0.776986i \(0.283253\pi\)
−0.857298 + 0.514820i \(0.827859\pi\)
\(24\) −0.173648 0.984808i −0.0354458 0.201023i
\(25\) −0.939693 + 0.342020i −0.187939 + 0.0684040i
\(26\) −0.233956 + 0.405223i −0.0458825 + 0.0794708i
\(27\) −0.500000 0.866025i −0.0962250 0.166667i
\(28\) −0.407604 0.342020i −0.0770299 0.0646357i
\(29\) 4.55303 + 3.82045i 0.845477 + 0.709440i 0.958789 0.284120i \(-0.0917014\pi\)
−0.113312 + 0.993559i \(0.536146\pi\)
\(30\) 0.500000 + 0.866025i 0.0912871 + 0.158114i
\(31\) 4.05303 7.02006i 0.727946 1.26084i −0.229803 0.973237i \(-0.573808\pi\)
0.957750 0.287603i \(-0.0928583\pi\)
\(32\) 0.939693 0.342020i 0.166116 0.0604612i
\(33\) 0.113341 + 0.642788i 0.0197301 + 0.111895i
\(34\) −0.0996702 + 0.565258i −0.0170933 + 0.0969409i
\(35\) 0.500000 + 0.181985i 0.0845154 + 0.0307611i
\(36\) 0.766044 0.642788i 0.127674 0.107131i
\(37\) 4.17024 0.685584 0.342792 0.939411i \(-0.388627\pi\)
0.342792 + 0.939411i \(0.388627\pi\)
\(38\) −2.12449 + 3.80612i −0.344637 + 0.617434i
\(39\) −0.467911 −0.0749257
\(40\) −0.766044 + 0.642788i −0.121122 + 0.101634i
\(41\) 9.99660 + 3.63846i 1.56121 + 0.568233i 0.971012 0.239029i \(-0.0768291\pi\)
0.590194 + 0.807262i \(0.299051\pi\)
\(42\) 0.0923963 0.524005i 0.0142571 0.0808558i
\(43\) 0.578726 + 3.28212i 0.0882548 + 0.500518i 0.996607 + 0.0823112i \(0.0262302\pi\)
−0.908352 + 0.418207i \(0.862659\pi\)
\(44\) −0.613341 + 0.223238i −0.0924646 + 0.0336544i
\(45\) −0.500000 + 0.866025i −0.0745356 + 0.129099i
\(46\) −3.14543 5.44804i −0.463768 0.803270i
\(47\) 3.75490 + 3.15074i 0.547708 + 0.459582i 0.874164 0.485631i \(-0.161410\pi\)
−0.326456 + 0.945213i \(0.605854\pi\)
\(48\) 0.766044 + 0.642788i 0.110569 + 0.0927784i
\(49\) 3.35844 + 5.81699i 0.479777 + 0.830999i
\(50\) 0.500000 0.866025i 0.0707107 0.122474i
\(51\) −0.539363 + 0.196312i −0.0755259 + 0.0274892i
\(52\) −0.0812519 0.460802i −0.0112676 0.0639018i
\(53\) −1.86097 + 10.5541i −0.255623 + 1.44971i 0.538844 + 0.842406i \(0.318861\pi\)
−0.794467 + 0.607307i \(0.792250\pi\)
\(54\) 0.939693 + 0.342020i 0.127876 + 0.0465430i
\(55\) 0.500000 0.419550i 0.0674200 0.0565721i
\(56\) 0.532089 0.0711034
\(57\) −4.35844 + 0.0632028i −0.577290 + 0.00837141i
\(58\) −5.94356 −0.780428
\(59\) 7.07398 5.93577i 0.920953 0.772772i −0.0532176 0.998583i \(-0.516948\pi\)
0.974171 + 0.225811i \(0.0725032\pi\)
\(60\) −0.939693 0.342020i −0.121314 0.0441546i
\(61\) −0.503404 + 2.85494i −0.0644542 + 0.365538i 0.935472 + 0.353401i \(0.114975\pi\)
−0.999926 + 0.0121375i \(0.996136\pi\)
\(62\) 1.40760 + 7.98292i 0.178766 + 1.01383i
\(63\) 0.500000 0.181985i 0.0629941 0.0229280i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.233956 + 0.405223i 0.0290186 + 0.0502617i
\(66\) −0.500000 0.419550i −0.0615457 0.0516430i
\(67\) −7.88326 6.61484i −0.963093 0.808131i 0.0183605 0.999831i \(-0.494155\pi\)
−0.981453 + 0.191700i \(0.938600\pi\)
\(68\) −0.286989 0.497079i −0.0348025 0.0602797i
\(69\) 3.14543 5.44804i 0.378665 0.655867i
\(70\) −0.500000 + 0.181985i −0.0597614 + 0.0217514i
\(71\) −1.17752 6.67804i −0.139746 0.792537i −0.971437 0.237299i \(-0.923738\pi\)
0.831691 0.555239i \(-0.187373\pi\)
\(72\) −0.173648 + 0.984808i −0.0204646 + 0.116061i
\(73\) −0.247626 0.0901285i −0.0289824 0.0105487i 0.327488 0.944855i \(-0.393798\pi\)
−0.356471 + 0.934307i \(0.616020\pi\)
\(74\) −3.19459 + 2.68058i −0.371364 + 0.311611i
\(75\) 1.00000 0.115470
\(76\) −0.819078 4.28125i −0.0939547 0.491093i
\(77\) −0.347296 −0.0395781
\(78\) 0.358441 0.300767i 0.0405854 0.0340552i
\(79\) 2.49273 + 0.907278i 0.280454 + 0.102077i 0.478417 0.878133i \(-0.341211\pi\)
−0.197964 + 0.980209i \(0.563433\pi\)
\(80\) 0.173648 0.984808i 0.0194145 0.110105i
\(81\) 0.173648 + 0.984808i 0.0192942 + 0.109423i
\(82\) −9.99660 + 3.63846i −1.10394 + 0.401801i
\(83\) −1.78699 + 3.09516i −0.196148 + 0.339737i −0.947276 0.320418i \(-0.896176\pi\)
0.751129 + 0.660156i \(0.229510\pi\)
\(84\) 0.266044 + 0.460802i 0.0290278 + 0.0502777i
\(85\) 0.439693 + 0.368946i 0.0476914 + 0.0400178i
\(86\) −2.55303 2.14225i −0.275301 0.231005i
\(87\) −2.97178 5.14728i −0.318608 0.551846i
\(88\) 0.326352 0.565258i 0.0347892 0.0602567i
\(89\) −3.72668 + 1.35640i −0.395027 + 0.143778i −0.531893 0.846811i \(-0.678519\pi\)
0.136866 + 0.990590i \(0.456297\pi\)
\(90\) −0.173648 0.984808i −0.0183041 0.103808i
\(91\) 0.0432332 0.245188i 0.00453207 0.0257027i
\(92\) 5.91147 + 2.15160i 0.616314 + 0.224320i
\(93\) −6.20961 + 5.21048i −0.643906 + 0.540302i
\(94\) −4.90167 −0.505569
\(95\) 2.23396 + 3.74292i 0.229199 + 0.384015i
\(96\) −1.00000 −0.102062
\(97\) 2.89440 2.42869i 0.293882 0.246596i −0.483911 0.875117i \(-0.660784\pi\)
0.777792 + 0.628521i \(0.216340\pi\)
\(98\) −6.31180 2.29731i −0.637588 0.232063i
\(99\) 0.113341 0.642788i 0.0113912 0.0646026i
\(100\) 0.173648 + 0.984808i 0.0173648 + 0.0984808i
\(101\) −6.04323 + 2.19956i −0.601324 + 0.218864i −0.624703 0.780863i \(-0.714780\pi\)
0.0233787 + 0.999727i \(0.492558\pi\)
\(102\) 0.286989 0.497079i 0.0284161 0.0492182i
\(103\) −0.198463 0.343748i −0.0195552 0.0338705i 0.856082 0.516840i \(-0.172892\pi\)
−0.875637 + 0.482969i \(0.839558\pi\)
\(104\) 0.358441 + 0.300767i 0.0351480 + 0.0294927i
\(105\) −0.407604 0.342020i −0.0397781 0.0333777i
\(106\) −5.35844 9.28109i −0.520458 0.901459i
\(107\) 7.78699 13.4875i 0.752797 1.30388i −0.193666 0.981068i \(-0.562038\pi\)
0.946462 0.322814i \(-0.104629\pi\)
\(108\) −0.939693 + 0.342020i −0.0904220 + 0.0329109i
\(109\) −1.17499 6.66371i −0.112544 0.638268i −0.987937 0.154856i \(-0.950509\pi\)
0.875393 0.483412i \(-0.160603\pi\)
\(110\) −0.113341 + 0.642788i −0.0108066 + 0.0612874i
\(111\) −3.91875 1.42631i −0.371951 0.135379i
\(112\) −0.407604 + 0.342020i −0.0385149 + 0.0323179i
\(113\) −10.7101 −1.00752 −0.503760 0.863844i \(-0.668050\pi\)
−0.503760 + 0.863844i \(0.668050\pi\)
\(114\) 3.29813 2.84997i 0.308898 0.266924i
\(115\) −6.29086 −0.586626
\(116\) 4.55303 3.82045i 0.422739 0.354720i
\(117\) 0.439693 + 0.160035i 0.0406496 + 0.0147952i
\(118\) −1.60354 + 9.09413i −0.147618 + 0.837183i
\(119\) −0.0530334 0.300767i −0.00486157 0.0275713i
\(120\) 0.939693 0.342020i 0.0857818 0.0312220i
\(121\) 5.28699 9.15733i 0.480635 0.832485i
\(122\) −1.44949 2.51060i −0.131231 0.227299i
\(123\) −8.14930 6.83807i −0.734798 0.616568i
\(124\) −6.20961 5.21048i −0.557639 0.467915i
\(125\) −0.500000 0.866025i −0.0447214 0.0774597i
\(126\) −0.266044 + 0.460802i −0.0237011 + 0.0410515i
\(127\) 4.29813 1.56439i 0.381398 0.138817i −0.144204 0.989548i \(-0.546062\pi\)
0.525602 + 0.850731i \(0.323840\pi\)
\(128\) −0.173648 0.984808i −0.0153485 0.0870455i
\(129\) 0.578726 3.28212i 0.0509540 0.288974i
\(130\) −0.439693 0.160035i −0.0385636 0.0140360i
\(131\) −3.41147 + 2.86257i −0.298062 + 0.250104i −0.779537 0.626356i \(-0.784546\pi\)
0.481475 + 0.876460i \(0.340101\pi\)
\(132\) 0.652704 0.0568106
\(133\) 0.369585 2.28969i 0.0320471 0.198541i
\(134\) 10.2909 0.888995
\(135\) 0.766044 0.642788i 0.0659306 0.0553223i
\(136\) 0.539363 + 0.196312i 0.0462500 + 0.0168336i
\(137\) 0.0136706 0.0775297i 0.00116796 0.00662381i −0.984218 0.176959i \(-0.943374\pi\)
0.985386 + 0.170335i \(0.0544851\pi\)
\(138\) 1.09240 + 6.19529i 0.0929909 + 0.527378i
\(139\) −5.89053 + 2.14398i −0.499628 + 0.181850i −0.579527 0.814953i \(-0.696763\pi\)
0.0798986 + 0.996803i \(0.474540\pi\)
\(140\) 0.266044 0.460802i 0.0224849 0.0389449i
\(141\) −2.45084 4.24497i −0.206398 0.357491i
\(142\) 5.19459 + 4.35878i 0.435921 + 0.365781i
\(143\) −0.233956 0.196312i −0.0195643 0.0164164i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −2.97178 + 5.14728i −0.246793 + 0.427458i
\(146\) 0.247626 0.0901285i 0.0204937 0.00745909i
\(147\) −1.16637 6.61484i −0.0962009 0.545583i
\(148\) 0.724155 4.10689i 0.0595252 0.337584i
\(149\) −13.8293 5.03347i −1.13294 0.412358i −0.293584 0.955933i \(-0.594848\pi\)
−0.839360 + 0.543575i \(0.817070\pi\)
\(150\) −0.766044 + 0.642788i −0.0625473 + 0.0524834i
\(151\) 2.69728 0.219502 0.109751 0.993959i \(-0.464995\pi\)
0.109751 + 0.993959i \(0.464995\pi\)
\(152\) 3.37939 + 2.75314i 0.274104 + 0.223309i
\(153\) 0.573978 0.0464034
\(154\) 0.266044 0.223238i 0.0214385 0.0179890i
\(155\) 7.61721 + 2.77244i 0.611829 + 0.222688i
\(156\) −0.0812519 + 0.460802i −0.00650536 + 0.0368937i
\(157\) −1.06536 6.04196i −0.0850250 0.482201i −0.997351 0.0727365i \(-0.976827\pi\)
0.912326 0.409464i \(-0.134284\pi\)
\(158\) −2.49273 + 0.907278i −0.198311 + 0.0721792i
\(159\) 5.35844 9.28109i 0.424952 0.736038i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 2.56418 + 2.15160i 0.202086 + 0.169570i
\(162\) −0.766044 0.642788i −0.0601861 0.0505022i
\(163\) −4.53596 7.85651i −0.355284 0.615370i 0.631883 0.775064i \(-0.282282\pi\)
−0.987166 + 0.159694i \(0.948949\pi\)
\(164\) 5.31908 9.21291i 0.415350 0.719408i
\(165\) −0.613341 + 0.223238i −0.0477485 + 0.0173790i
\(166\) −0.620615 3.51968i −0.0481690 0.273180i
\(167\) 1.66132 9.42182i 0.128557 0.729083i −0.850574 0.525855i \(-0.823746\pi\)
0.979131 0.203228i \(-0.0651433\pi\)
\(168\) −0.500000 0.181985i −0.0385758 0.0140405i
\(169\) −9.79086 + 8.21551i −0.753143 + 0.631962i
\(170\) −0.573978 −0.0440221
\(171\) 4.11721 + 1.43128i 0.314851 + 0.109453i
\(172\) 3.33275 0.254120
\(173\) −17.4722 + 14.6610i −1.32839 + 1.11465i −0.343940 + 0.938992i \(0.611762\pi\)
−0.984451 + 0.175660i \(0.943794\pi\)
\(174\) 5.58512 + 2.03282i 0.423407 + 0.154108i
\(175\) −0.0923963 + 0.524005i −0.00698450 + 0.0396111i
\(176\) 0.113341 + 0.642788i 0.00854338 + 0.0484519i
\(177\) −8.67752 + 3.15836i −0.652242 + 0.237397i
\(178\) 1.98293 3.43453i 0.148627 0.257429i
\(179\) −9.51754 16.4849i −0.711374 1.23214i −0.964341 0.264662i \(-0.914740\pi\)
0.252967 0.967475i \(-0.418594\pi\)
\(180\) 0.766044 + 0.642788i 0.0570976 + 0.0479106i
\(181\) 7.55097 + 6.33602i 0.561259 + 0.470953i 0.878732 0.477315i \(-0.158390\pi\)
−0.317473 + 0.948267i \(0.602834\pi\)
\(182\) 0.124485 + 0.215615i 0.00922745 + 0.0159824i
\(183\) 1.44949 2.51060i 0.107150 0.185589i
\(184\) −5.91147 + 2.15160i −0.435800 + 0.158618i
\(185\) 0.724155 + 4.10689i 0.0532410 + 0.301945i
\(186\) 1.40760 7.98292i 0.103211 0.585336i
\(187\) −0.352044 0.128134i −0.0257440 0.00937005i
\(188\) 3.75490 3.15074i 0.273854 0.229791i
\(189\) −0.532089 −0.0387038
\(190\) −4.11721 1.43128i −0.298694 0.103836i
\(191\) 2.75877 0.199618 0.0998088 0.995007i \(-0.468177\pi\)
0.0998088 + 0.995007i \(0.468177\pi\)
\(192\) 0.766044 0.642788i 0.0552845 0.0463892i
\(193\) 22.4329 + 8.16490i 1.61475 + 0.587723i 0.982372 0.186934i \(-0.0598551\pi\)
0.632382 + 0.774657i \(0.282077\pi\)
\(194\) −0.656107 + 3.72097i −0.0471058 + 0.267150i
\(195\) −0.0812519 0.460802i −0.00581857 0.0329988i
\(196\) 6.31180 2.29731i 0.450843 0.164093i
\(197\) 8.76264 15.1773i 0.624312 1.08134i −0.364361 0.931258i \(-0.618713\pi\)
0.988673 0.150083i \(-0.0479541\pi\)
\(198\) 0.326352 + 0.565258i 0.0231928 + 0.0401711i
\(199\) 7.11721 + 5.97205i 0.504526 + 0.423347i 0.859198 0.511643i \(-0.170963\pi\)
−0.354672 + 0.934991i \(0.615408\pi\)
\(200\) −0.766044 0.642788i −0.0541675 0.0454519i
\(201\) 5.14543 + 8.91215i 0.362931 + 0.628614i
\(202\) 3.21554 5.56947i 0.226244 0.391867i
\(203\) 2.97178 1.08164i 0.208578 0.0759162i
\(204\) 0.0996702 + 0.565258i 0.00697831 + 0.0395760i
\(205\) −1.84730 + 10.4765i −0.129021 + 0.731713i
\(206\) 0.372989 + 0.135757i 0.0259873 + 0.00945862i
\(207\) −4.81908 + 4.04369i −0.334949 + 0.281056i
\(208\) −0.467911 −0.0324438
\(209\) −2.20574 1.79698i −0.152574 0.124300i
\(210\) 0.532089 0.0367176
\(211\) −6.16637 + 5.17420i −0.424511 + 0.356207i −0.829876 0.557948i \(-0.811589\pi\)
0.405365 + 0.914155i \(0.367144\pi\)
\(212\) 10.0706 + 3.66539i 0.691650 + 0.251740i
\(213\) −1.17752 + 6.67804i −0.0806822 + 0.457572i
\(214\) 2.70439 + 15.3374i 0.184868 + 1.04844i
\(215\) −3.13176 + 1.13987i −0.213584 + 0.0777383i
\(216\) 0.500000 0.866025i 0.0340207 0.0589256i
\(217\) −2.15657 3.73530i −0.146398 0.253568i
\(218\) 5.18345 + 4.34943i 0.351067 + 0.294581i
\(219\) 0.201867 + 0.169386i 0.0136409 + 0.0114461i
\(220\) −0.326352 0.565258i −0.0220026 0.0381097i
\(221\) 0.134285 0.232589i 0.00903301 0.0156456i
\(222\) 3.91875 1.42631i 0.263009 0.0957275i
\(223\) 0.789210 + 4.47584i 0.0528494 + 0.299724i 0.999763 0.0217638i \(-0.00692817\pi\)
−0.946914 + 0.321488i \(0.895817\pi\)
\(224\) 0.0923963 0.524005i 0.00617349 0.0350116i
\(225\) −0.939693 0.342020i −0.0626462 0.0228013i
\(226\) 8.20439 6.88430i 0.545748 0.457937i
\(227\) −24.6486 −1.63598 −0.817992 0.575230i \(-0.804913\pi\)
−0.817992 + 0.575230i \(0.804913\pi\)
\(228\) −0.694593 + 4.30320i −0.0460005 + 0.284986i
\(229\) −13.3473 −0.882014 −0.441007 0.897504i \(-0.645379\pi\)
−0.441007 + 0.897504i \(0.645379\pi\)
\(230\) 4.81908 4.04369i 0.317761 0.266633i
\(231\) 0.326352 + 0.118782i 0.0214724 + 0.00781530i
\(232\) −1.03209 + 5.85327i −0.0677600 + 0.384286i
\(233\) 2.39693 + 13.5936i 0.157028 + 0.890549i 0.956908 + 0.290390i \(0.0937850\pi\)
−0.799881 + 0.600159i \(0.795104\pi\)
\(234\) −0.439693 + 0.160035i −0.0287436 + 0.0104618i
\(235\) −2.45084 + 4.24497i −0.159875 + 0.276912i
\(236\) −4.61721 7.99724i −0.300555 0.520576i
\(237\) −2.03209 1.70513i −0.131998 0.110760i
\(238\) 0.233956 + 0.196312i 0.0151651 + 0.0127250i
\(239\) 6.28833 + 10.8917i 0.406758 + 0.704526i 0.994524 0.104505i \(-0.0333257\pi\)
−0.587766 + 0.809031i \(0.699992\pi\)
\(240\) −0.500000 + 0.866025i −0.0322749 + 0.0559017i
\(241\) −1.29901 + 0.472801i −0.0836766 + 0.0304558i −0.383519 0.923533i \(-0.625288\pi\)
0.299843 + 0.953989i \(0.403066\pi\)
\(242\) 1.83615 + 10.4133i 0.118032 + 0.669395i
\(243\) 0.173648 0.984808i 0.0111395 0.0631754i
\(244\) 2.72416 + 0.991511i 0.174396 + 0.0634750i
\(245\) −5.14543 + 4.31753i −0.328729 + 0.275837i
\(246\) 10.6382 0.678264
\(247\) 1.54323 1.33353i 0.0981936 0.0848506i
\(248\) 8.10607 0.514736
\(249\) 2.73783 2.29731i 0.173503 0.145586i
\(250\) 0.939693 + 0.342020i 0.0594314 + 0.0216313i
\(251\) 0.204860 1.16182i 0.0129306 0.0733333i −0.977660 0.210194i \(-0.932590\pi\)
0.990590 + 0.136861i \(0.0437014\pi\)
\(252\) −0.0923963 0.524005i −0.00582042 0.0330092i
\(253\) 3.85844 1.40436i 0.242578 0.0882912i
\(254\) −2.28699 + 3.96118i −0.143498 + 0.248547i
\(255\) −0.286989 0.497079i −0.0179719 0.0311283i
\(256\) 0.766044 + 0.642788i 0.0478778 + 0.0401742i
\(257\) 12.1493 + 10.1945i 0.757853 + 0.635914i 0.937567 0.347805i \(-0.113073\pi\)
−0.179714 + 0.983719i \(0.557517\pi\)
\(258\) 1.66637 + 2.88624i 0.103744 + 0.179690i
\(259\) 1.10947 1.92166i 0.0689391 0.119406i
\(260\) 0.439693 0.160035i 0.0272686 0.00992495i
\(261\) 1.03209 + 5.85327i 0.0638847 + 0.362308i
\(262\) 0.773318 4.38571i 0.0477758 0.270950i
\(263\) −15.0262 5.46907i −0.926553 0.337238i −0.165710 0.986174i \(-0.552992\pi\)
−0.760842 + 0.648937i \(0.775214\pi\)
\(264\) −0.500000 + 0.419550i −0.0307729 + 0.0258215i
\(265\) −10.7169 −0.658333
\(266\) 1.18866 + 1.99157i 0.0728816 + 0.122111i
\(267\) 3.96585 0.242706
\(268\) −7.88326 + 6.61484i −0.481546 + 0.404065i
\(269\) −12.6998 4.62235i −0.774321 0.281830i −0.0755184 0.997144i \(-0.524061\pi\)
−0.698803 + 0.715315i \(0.746283\pi\)
\(270\) −0.173648 + 0.984808i −0.0105679 + 0.0599335i
\(271\) 4.94444 + 28.0413i 0.300353 + 1.70339i 0.644609 + 0.764513i \(0.277020\pi\)
−0.344255 + 0.938876i \(0.611869\pi\)
\(272\) −0.539363 + 0.196312i −0.0327037 + 0.0119032i
\(273\) −0.124485 + 0.215615i −0.00753418 + 0.0130496i
\(274\) 0.0393628 + 0.0681784i 0.00237800 + 0.00411881i
\(275\) 0.500000 + 0.419550i 0.0301511 + 0.0252998i
\(276\) −4.81908 4.04369i −0.290074 0.243401i
\(277\) 8.71213 + 15.0899i 0.523461 + 0.906662i 0.999627 + 0.0273062i \(0.00869290\pi\)
−0.476166 + 0.879356i \(0.657974\pi\)
\(278\) 3.13429 5.42874i 0.187982 0.325594i
\(279\) 7.61721 2.77244i 0.456031 0.165982i
\(280\) 0.0923963 + 0.524005i 0.00552173 + 0.0313153i
\(281\) 0.0817187 0.463450i 0.00487493 0.0276471i −0.982273 0.187455i \(-0.939976\pi\)
0.987148 + 0.159808i \(0.0510874\pi\)
\(282\) 4.60607 + 1.67647i 0.274287 + 0.0998324i
\(283\) 4.36437 3.66214i 0.259435 0.217692i −0.503787 0.863828i \(-0.668061\pi\)
0.763222 + 0.646136i \(0.223616\pi\)
\(284\) −6.78106 −0.402382
\(285\) −0.819078 4.28125i −0.0485180 0.253599i
\(286\) 0.305407 0.0180591
\(287\) 4.33615 3.63846i 0.255955 0.214772i
\(288\) 0.939693 + 0.342020i 0.0553719 + 0.0201537i
\(289\) −2.89481 + 16.4173i −0.170283 + 0.965723i
\(290\) −1.03209 5.85327i −0.0606063 0.343716i
\(291\) −3.55051 + 1.29228i −0.208134 + 0.0757547i
\(292\) −0.131759 + 0.228213i −0.00771062 + 0.0133552i
\(293\) −4.66385 8.07802i −0.272465 0.471923i 0.697028 0.717044i \(-0.254506\pi\)
−0.969492 + 0.245121i \(0.921172\pi\)
\(294\) 5.14543 + 4.31753i 0.300088 + 0.251803i
\(295\) 7.07398 + 5.93577i 0.411863 + 0.345594i
\(296\) 2.08512 + 3.61154i 0.121195 + 0.209916i
\(297\) −0.326352 + 0.565258i −0.0189369 + 0.0327996i
\(298\) 13.8293 5.03347i 0.801112 0.291581i
\(299\) 0.511144 + 2.89884i 0.0295602 + 0.167644i
\(300\) 0.173648 0.984808i 0.0100256 0.0568579i
\(301\) 1.66637 + 0.606511i 0.0960482 + 0.0349587i
\(302\) −2.06624 + 1.73378i −0.118899 + 0.0997678i
\(303\) 6.43107 0.369456
\(304\) −4.35844 + 0.0632028i −0.249974 + 0.00362493i
\(305\) −2.89899 −0.165995
\(306\) −0.439693 + 0.368946i −0.0251356 + 0.0210912i
\(307\) 21.6001 + 7.86181i 1.23278 + 0.448697i 0.874550 0.484935i \(-0.161157\pi\)
0.358235 + 0.933632i \(0.383379\pi\)
\(308\) −0.0603074 + 0.342020i −0.00343633 + 0.0194884i
\(309\) 0.0689255 + 0.390896i 0.00392104 + 0.0222373i
\(310\) −7.61721 + 2.77244i −0.432629 + 0.157464i
\(311\) 6.30453 10.9198i 0.357497 0.619203i −0.630045 0.776559i \(-0.716964\pi\)
0.987542 + 0.157356i \(0.0502969\pi\)
\(312\) −0.233956 0.405223i −0.0132451 0.0229412i
\(313\) 5.82429 + 4.88716i 0.329208 + 0.276239i 0.792377 0.610031i \(-0.208843\pi\)
−0.463169 + 0.886270i \(0.653288\pi\)
\(314\) 4.69981 + 3.94361i 0.265225 + 0.222551i
\(315\) 0.266044 + 0.460802i 0.0149899 + 0.0259633i
\(316\) 1.32635 2.29731i 0.0746131 0.129234i
\(317\) 6.99020 2.54422i 0.392609 0.142898i −0.138170 0.990409i \(-0.544122\pi\)
0.530778 + 0.847511i \(0.321900\pi\)
\(318\) 1.86097 + 10.5541i 0.104358 + 0.591843i
\(319\) 0.673648 3.82045i 0.0377171 0.213904i
\(320\) −0.939693 0.342020i −0.0525304 0.0191195i
\(321\) −11.9304 + 10.0108i −0.665888 + 0.558746i
\(322\) −3.34730 −0.186538
\(323\) 1.21941 2.18463i 0.0678497 0.121556i
\(324\) 1.00000 0.0555556
\(325\) −0.358441 + 0.300767i −0.0198827 + 0.0166836i
\(326\) 8.52481 + 3.10278i 0.472146 + 0.171847i
\(327\) −1.17499 + 6.66371i −0.0649772 + 0.368504i
\(328\) 1.84730 + 10.4765i 0.102000 + 0.578470i
\(329\) 2.45084 0.892032i 0.135119 0.0491793i
\(330\) 0.326352 0.565258i 0.0179651 0.0311164i
\(331\) 0.570108 + 0.987455i 0.0313359 + 0.0542754i 0.881268 0.472617i \(-0.156690\pi\)
−0.849932 + 0.526892i \(0.823357\pi\)
\(332\) 2.73783 + 2.29731i 0.150258 + 0.126081i
\(333\) 3.19459 + 2.68058i 0.175063 + 0.146895i
\(334\) 4.78359 + 8.28541i 0.261746 + 0.453358i
\(335\) 5.14543 8.91215i 0.281125 0.486923i
\(336\) 0.500000 0.181985i 0.0272772 0.00992810i
\(337\) −5.58946 31.6994i −0.304477 1.72678i −0.625955 0.779859i \(-0.715291\pi\)
0.321478 0.946917i \(-0.395820\pi\)
\(338\) 2.21941 12.5869i 0.120720 0.684636i
\(339\) 10.0642 + 3.66306i 0.546611 + 0.198950i
\(340\) 0.439693 0.368946i 0.0238457 0.0200089i
\(341\) −5.29086 −0.286516
\(342\) −4.07398 + 1.55007i −0.220295 + 0.0838180i
\(343\) 7.29860 0.394087
\(344\) −2.55303 + 2.14225i −0.137650 + 0.115502i
\(345\) 5.91147 + 2.15160i 0.318263 + 0.115838i
\(346\) 3.96064 22.4619i 0.212925 1.20756i
\(347\) −4.32723 24.5409i −0.232298 1.31743i −0.848230 0.529628i \(-0.822332\pi\)
0.615932 0.787799i \(-0.288779\pi\)
\(348\) −5.58512 + 2.03282i −0.299394 + 0.108970i
\(349\) −4.12701 + 7.14819i −0.220914 + 0.382634i −0.955086 0.296330i \(-0.904237\pi\)
0.734172 + 0.678964i \(0.237571\pi\)
\(350\) −0.266044 0.460802i −0.0142207 0.0246309i
\(351\) −0.358441 0.300767i −0.0191321 0.0160538i
\(352\) −0.500000 0.419550i −0.0266501 0.0223621i
\(353\) 1.31315 + 2.27444i 0.0698918 + 0.121056i 0.898854 0.438249i \(-0.144401\pi\)
−0.828962 + 0.559305i \(0.811068\pi\)
\(354\) 4.61721 7.99724i 0.245402 0.425049i
\(355\) 6.37211 2.31926i 0.338197 0.123093i
\(356\) 0.688663 + 3.90560i 0.0364991 + 0.206996i
\(357\) −0.0530334 + 0.300767i −0.00280683 + 0.0159183i
\(358\) 17.8871 + 6.51038i 0.945364 + 0.344084i
\(359\) 12.9381 10.8564i 0.682847 0.572977i −0.233990 0.972239i \(-0.575178\pi\)
0.916837 + 0.399263i \(0.130734\pi\)
\(360\) −1.00000 −0.0527046
\(361\) 14.1946 12.6299i 0.747084 0.664730i
\(362\) −9.85710 −0.518077
\(363\) −8.10014 + 6.79682i −0.425147 + 0.356741i
\(364\) −0.233956 0.0851529i −0.0122626 0.00446322i
\(365\) 0.0457595 0.259515i 0.00239516 0.0135836i
\(366\) 0.503404 + 2.85494i 0.0263133 + 0.149230i
\(367\) −24.8332 + 9.03855i −1.29628 + 0.471809i −0.895784 0.444489i \(-0.853385\pi\)
−0.400499 + 0.916297i \(0.631163\pi\)
\(368\) 3.14543 5.44804i 0.163967 0.283999i
\(369\) 5.31908 + 9.21291i 0.276900 + 0.479605i
\(370\) −3.19459 2.68058i −0.166079 0.139357i
\(371\) 4.36824 + 3.66539i 0.226788 + 0.190298i
\(372\) 4.05303 + 7.02006i 0.210140 + 0.363973i
\(373\) 17.6557 30.5806i 0.914177 1.58340i 0.106076 0.994358i \(-0.466171\pi\)
0.808101 0.589044i \(-0.200495\pi\)
\(374\) 0.352044 0.128134i 0.0182038 0.00662563i
\(375\) 0.173648 + 0.984808i 0.00896715 + 0.0508553i
\(376\) −0.851167 + 4.82721i −0.0438956 + 0.248944i
\(377\) 2.61334 + 0.951178i 0.134594 + 0.0489882i
\(378\) 0.407604 0.342020i 0.0209649 0.0175916i
\(379\) −26.0729 −1.33927 −0.669636 0.742689i \(-0.733550\pi\)
−0.669636 + 0.742689i \(0.733550\pi\)
\(380\) 4.07398 1.55007i 0.208991 0.0795167i
\(381\) −4.57398 −0.234332
\(382\) −2.11334 + 1.77330i −0.108128 + 0.0907301i
\(383\) 6.86736 + 2.49952i 0.350906 + 0.127719i 0.511458 0.859308i \(-0.329105\pi\)
−0.160553 + 0.987027i \(0.551328\pi\)
\(384\) −0.173648 + 0.984808i −0.00886145 + 0.0502558i
\(385\) −0.0603074 0.342020i −0.00307355 0.0174310i
\(386\) −22.4329 + 8.16490i −1.14180 + 0.415583i
\(387\) −1.66637 + 2.88624i −0.0847066 + 0.146716i
\(388\) −1.88919 3.27217i −0.0959089 0.166119i
\(389\) −8.92720 7.49081i −0.452627 0.379799i 0.387782 0.921751i \(-0.373241\pi\)
−0.840410 + 0.541952i \(0.817686\pi\)
\(390\) 0.358441 + 0.300767i 0.0181504 + 0.0152300i
\(391\) 1.80541 + 3.12706i 0.0913034 + 0.158142i
\(392\) −3.35844 + 5.81699i −0.169627 + 0.293802i
\(393\) 4.18479 1.52314i 0.211095 0.0768322i
\(394\) 3.04323 + 17.2590i 0.153316 + 0.869498i
\(395\) −0.460637 + 2.61240i −0.0231772 + 0.131444i
\(396\) −0.613341 0.223238i −0.0308215 0.0112181i
\(397\) −13.3229 + 11.1793i −0.668660 + 0.561072i −0.912668 0.408701i \(-0.865982\pi\)
0.244009 + 0.969773i \(0.421537\pi\)
\(398\) −9.29086 −0.465709
\(399\) −1.13041 + 2.02520i −0.0565915 + 0.101387i
\(400\) 1.00000 0.0500000
\(401\) 1.72281 1.44561i 0.0860331 0.0721903i −0.598757 0.800931i \(-0.704338\pi\)
0.684790 + 0.728741i \(0.259894\pi\)
\(402\) −9.67024 3.51968i −0.482308 0.175546i
\(403\) 0.658633 3.73530i 0.0328089 0.186068i
\(404\) 1.11674 + 6.33337i 0.0555601 + 0.315097i
\(405\) −0.939693 + 0.342020i −0.0466937 + 0.0169951i
\(406\) −1.58125 + 2.73881i −0.0784762 + 0.135925i
\(407\) −1.36097 2.35726i −0.0674606 0.116845i
\(408\) −0.439693 0.368946i −0.0217680 0.0182655i
\(409\) 1.85323 + 1.55504i 0.0916361 + 0.0768918i 0.687455 0.726227i \(-0.258728\pi\)
−0.595819 + 0.803119i \(0.703172\pi\)
\(410\) −5.31908 9.21291i −0.262691 0.454993i
\(411\) −0.0393628 + 0.0681784i −0.00194163 + 0.00336299i
\(412\) −0.372989 + 0.135757i −0.0183758 + 0.00668826i
\(413\) −0.853226 4.83889i −0.0419845 0.238106i
\(414\) 1.09240 6.19529i 0.0536883 0.304482i
\(415\) −3.35844 1.22237i −0.164859 0.0600039i
\(416\) 0.358441 0.300767i 0.0175740 0.0147463i
\(417\) 6.26857 0.306973
\(418\) 2.84477 0.0412527i 0.139142 0.00201773i
\(419\) 7.72462 0.377372 0.188686 0.982037i \(-0.439577\pi\)
0.188686 + 0.982037i \(0.439577\pi\)
\(420\) −0.407604 + 0.342020i −0.0198890 + 0.0166889i
\(421\) 34.0244 + 12.3839i 1.65825 + 0.603553i 0.990086 0.140463i \(-0.0448591\pi\)
0.668162 + 0.744016i \(0.267081\pi\)
\(422\) 1.39780 7.92734i 0.0680440 0.385897i
\(423\) 0.851167 + 4.82721i 0.0413851 + 0.234707i
\(424\) −10.0706 + 3.66539i −0.489070 + 0.178007i
\(425\) −0.286989 + 0.497079i −0.0139210 + 0.0241119i
\(426\) −3.39053 5.87257i −0.164272 0.284527i
\(427\) 1.18164 + 0.991511i 0.0571834 + 0.0479826i
\(428\) −11.9304 10.0108i −0.576676 0.483888i
\(429\) 0.152704 + 0.264490i 0.00737260 + 0.0127697i
\(430\) 1.66637 2.88624i 0.0803597 0.139187i
\(431\) −19.0205 + 6.92291i −0.916187 + 0.333465i −0.756720 0.653739i \(-0.773200\pi\)
−0.159466 + 0.987203i \(0.550977\pi\)
\(432\) 0.173648 + 0.984808i 0.00835465 + 0.0473816i
\(433\) 5.96467 33.8273i 0.286644 1.62564i −0.412711 0.910862i \(-0.635418\pi\)
0.699354 0.714775i \(-0.253471\pi\)
\(434\) 4.05303 + 1.47518i 0.194552 + 0.0708111i
\(435\) 4.55303 3.82045i 0.218301 0.183176i
\(436\) −6.76651 −0.324057
\(437\) 5.15270 + 26.9327i 0.246487 + 1.28837i
\(438\) −0.263518 −0.0125914
\(439\) −28.4145 + 23.8426i −1.35615 + 1.13794i −0.378997 + 0.925398i \(0.623731\pi\)
−0.977151 + 0.212546i \(0.931824\pi\)
\(440\) 0.613341 + 0.223238i 0.0292399 + 0.0106424i
\(441\) −1.16637 + 6.61484i −0.0555416 + 0.314992i
\(442\) 0.0466368 + 0.264490i 0.00221829 + 0.0125805i
\(443\) −11.9201 + 4.33856i −0.566341 + 0.206131i −0.609292 0.792946i \(-0.708546\pi\)
0.0429512 + 0.999077i \(0.486324\pi\)
\(444\) −2.08512 + 3.61154i −0.0989555 + 0.171396i
\(445\) −1.98293 3.43453i −0.0939997 0.162812i
\(446\) −3.48158 2.92139i −0.164858 0.138332i
\(447\) 11.2738 + 9.45983i 0.533232 + 0.447435i
\(448\) 0.266044 + 0.460802i 0.0125694 + 0.0217709i
\(449\) 16.4265 28.4515i 0.775214 1.34271i −0.159460 0.987204i \(-0.550975\pi\)
0.934674 0.355506i \(-0.115691\pi\)
\(450\) 0.939693 0.342020i 0.0442975 0.0161230i
\(451\) −1.20574 6.83807i −0.0567759 0.321992i
\(452\) −1.85978 + 10.5474i −0.0874769 + 0.496106i
\(453\) −2.53462 0.922524i −0.119087 0.0433440i
\(454\) 18.8819 15.8438i 0.886172 0.743587i
\(455\) 0.248970 0.0116719
\(456\) −2.23396 3.74292i −0.104615 0.175278i
\(457\) −12.5594 −0.587505 −0.293753 0.955881i \(-0.594904\pi\)
−0.293753 + 0.955881i \(0.594904\pi\)
\(458\) 10.2246 8.57948i 0.477765 0.400893i
\(459\) −0.539363 0.196312i −0.0251753 0.00916306i
\(460\) −1.09240 + 6.19529i −0.0509332 + 0.288857i
\(461\) 0.861377 + 4.88511i 0.0401183 + 0.227522i 0.998274 0.0587245i \(-0.0187033\pi\)
−0.958156 + 0.286247i \(0.907592\pi\)
\(462\) −0.326352 + 0.118782i −0.0151833 + 0.00552626i
\(463\) 18.4684 31.9882i 0.858298 1.48662i −0.0152527 0.999884i \(-0.504855\pi\)
0.873551 0.486733i \(-0.161811\pi\)
\(464\) −2.97178 5.14728i −0.137961 0.238956i
\(465\) −6.20961 5.21048i −0.287964 0.241630i
\(466\) −10.5740 8.87262i −0.489830 0.411016i
\(467\) −4.61334 7.99054i −0.213480 0.369758i 0.739321 0.673353i \(-0.235146\pi\)
−0.952801 + 0.303595i \(0.901813\pi\)
\(468\) 0.233956 0.405223i 0.0108146 0.0187314i
\(469\) −5.14543 + 1.87278i −0.237594 + 0.0864771i
\(470\) −0.851167 4.82721i −0.0392614 0.222662i
\(471\) −1.06536 + 6.04196i −0.0490892 + 0.278399i
\(472\) 8.67752 + 3.15836i 0.399415 + 0.145375i
\(473\) 1.66637 1.39825i 0.0766200 0.0642918i
\(474\) 2.65270 0.121843
\(475\) −3.29813 + 2.84997i −0.151329 + 0.130765i
\(476\) −0.305407 −0.0139983
\(477\) −8.20961 + 6.88868i −0.375892 + 0.315411i
\(478\) −11.8182 4.30147i −0.540552 0.196745i
\(479\) 5.43763 30.8384i 0.248452 1.40904i −0.563886 0.825853i \(-0.690694\pi\)
0.812338 0.583187i \(-0.198195\pi\)
\(480\) −0.173648 0.984808i −0.00792592 0.0449501i
\(481\) 1.83363 0.667385i 0.0836061 0.0304301i
\(482\) 0.691189 1.19717i 0.0314828 0.0545298i
\(483\) −1.67365 2.89884i −0.0761536 0.131902i
\(484\) −8.10014 6.79682i −0.368188 0.308946i
\(485\) 2.89440 + 2.42869i 0.131428 + 0.110281i
\(486\) 0.500000 + 0.866025i 0.0226805 + 0.0392837i
\(487\) −10.6322 + 18.4156i −0.481792 + 0.834488i −0.999782 0.0208985i \(-0.993347\pi\)
0.517989 + 0.855387i \(0.326681\pi\)
\(488\) −2.72416 + 0.991511i −0.123317 + 0.0448836i
\(489\) 1.57532 + 8.93410i 0.0712385 + 0.404014i
\(490\) 1.16637 6.61484i 0.0526914 0.298828i
\(491\) −39.1207 14.2388i −1.76549 0.642586i −0.765492 0.643446i \(-0.777504\pi\)
−1.00000 0.000859724i \(0.999726\pi\)
\(492\) −8.14930 + 6.83807i −0.367399 + 0.308284i
\(493\) 3.41147 0.153645
\(494\) −0.325008 + 2.01352i −0.0146228 + 0.0905924i
\(495\) 0.652704 0.0293368
\(496\) −6.20961 + 5.21048i −0.278820 + 0.233957i
\(497\) −3.39053 1.23405i −0.152086 0.0553548i
\(498\) −0.620615 + 3.51968i −0.0278104 + 0.157721i
\(499\) −0.175459 0.995078i −0.00785463 0.0445458i 0.980629 0.195877i \(-0.0627552\pi\)
−0.988483 + 0.151331i \(0.951644\pi\)
\(500\) −0.939693 + 0.342020i −0.0420243 + 0.0152956i
\(501\) −4.78359 + 8.28541i −0.213715 + 0.370165i
\(502\) 0.589870 + 1.02168i 0.0263272 + 0.0456000i
\(503\) 12.4847 + 10.4759i 0.556667 + 0.467099i 0.877191 0.480141i \(-0.159415\pi\)
−0.320524 + 0.947240i \(0.603859\pi\)
\(504\) 0.407604 + 0.342020i 0.0181561 + 0.0152348i
\(505\) −3.21554 5.56947i −0.143090 0.247838i
\(506\) −2.05303 + 3.55596i −0.0912685 + 0.158082i
\(507\) 12.0103 4.37138i 0.533395 0.194140i
\(508\) −0.794263 4.50449i −0.0352397 0.199854i
\(509\) −3.36184 + 19.0660i −0.149011 + 0.845084i 0.815047 + 0.579394i \(0.196711\pi\)
−0.964059 + 0.265690i \(0.914400\pi\)
\(510\) 0.539363 + 0.196312i 0.0238834 + 0.00869284i
\(511\) −0.107411 + 0.0901285i −0.00475158 + 0.00398705i
\(512\) −1.00000 −0.0441942
\(513\) −3.37939 2.75314i −0.149204 0.121554i
\(514\) −15.8598 −0.699545
\(515\) 0.304063 0.255139i 0.0133986 0.0112428i
\(516\) −3.13176 1.13987i −0.137868 0.0501799i
\(517\) 0.555560 3.15074i 0.0244335 0.138569i
\(518\) 0.385315 + 2.18523i 0.0169298 + 0.0960135i
\(519\) 21.4329 7.80093i 0.940799 0.342423i
\(520\) −0.233956 + 0.405223i −0.0102596 + 0.0177702i
\(521\) −17.6634 30.5940i −0.773849 1.34035i −0.935439 0.353488i \(-0.884995\pi\)
0.161590 0.986858i \(-0.448338\pi\)
\(522\) −4.55303 3.82045i −0.199281 0.167216i
\(523\) −6.66637 5.59375i −0.291500 0.244598i 0.485296 0.874350i \(-0.338712\pi\)
−0.776796 + 0.629752i \(0.783156\pi\)
\(524\) 2.22668 + 3.85673i 0.0972730 + 0.168482i
\(525\) 0.266044 0.460802i 0.0116111 0.0201111i
\(526\) 15.0262 5.46907i 0.655172 0.238463i
\(527\) −0.807934 4.58202i −0.0351941 0.199596i
\(528\) 0.113341 0.642788i 0.00493253 0.0279737i
\(529\) −15.5753 5.66895i −0.677188 0.246476i
\(530\) 8.20961 6.88868i 0.356603 0.299225i
\(531\) 9.23442 0.400740
\(532\) −2.19072 0.761570i −0.0949799 0.0330182i
\(533\) 4.97771 0.215609
\(534\) −3.03802 + 2.54920i −0.131468 + 0.110315i
\(535\) 14.6348 + 5.32661i 0.632716 + 0.230290i
\(536\) 1.78699 10.1345i 0.0771862 0.437745i
\(537\) 3.30541 + 18.7459i 0.142639 + 0.808945i
\(538\) 12.6998 4.62235i 0.547528 0.199284i
\(539\) 2.19207 3.79677i 0.0944190 0.163538i
\(540\) −0.500000 0.866025i −0.0215166 0.0372678i
\(541\) 10.4677 + 8.78341i 0.450040 + 0.377628i 0.839451 0.543436i \(-0.182877\pi\)
−0.389411 + 0.921064i \(0.627321\pi\)
\(542\) −21.8123 18.3027i −0.936917 0.786167i
\(543\) −4.92855 8.53650i −0.211504 0.366336i
\(544\) 0.286989 0.497079i 0.0123046 0.0213121i
\(545\) 6.35844 2.31428i 0.272366 0.0991330i
\(546\) −0.0432332 0.245188i −0.00185021 0.0104931i
\(547\) 3.21317 18.2228i 0.137385 0.779151i −0.835784 0.549059i \(-0.814986\pi\)
0.973169 0.230092i \(-0.0739027\pi\)
\(548\) −0.0739780 0.0269258i −0.00316018 0.00115021i
\(549\) −2.22075 + 1.86343i −0.0947794 + 0.0795293i
\(550\) −0.652704 −0.0278314
\(551\) 24.4709 + 8.50692i 1.04250 + 0.362407i
\(552\) 6.29086 0.267757
\(553\) 1.08125 0.907278i 0.0459795 0.0385814i
\(554\) −16.3735 5.95945i −0.695641 0.253193i
\(555\) 0.724155 4.10689i 0.0307387 0.174328i
\(556\) 1.08853 + 6.17334i 0.0461638 + 0.261808i
\(557\) −20.1459 + 7.33251i −0.853609 + 0.310688i −0.731511 0.681830i \(-0.761184\pi\)
−0.122098 + 0.992518i \(0.538962\pi\)
\(558\) −4.05303 + 7.02006i −0.171579 + 0.297183i
\(559\) 0.779715 + 1.35051i 0.0329784 + 0.0571203i
\(560\) −0.407604 0.342020i −0.0172244 0.0144530i
\(561\) 0.286989 + 0.240812i 0.0121167 + 0.0101671i
\(562\) 0.235300 + 0.407551i 0.00992552 + 0.0171915i
\(563\) 6.14883 10.6501i 0.259142 0.448848i −0.706870 0.707343i \(-0.749893\pi\)
0.966012 + 0.258496i \(0.0832268\pi\)
\(564\) −4.60607 + 1.67647i −0.193950 + 0.0705922i
\(565\) −1.85978 10.5474i −0.0782417 0.443731i
\(566\) −0.989322 + 5.61073i −0.0415843 + 0.235836i
\(567\) 0.500000 + 0.181985i 0.0209980 + 0.00764266i
\(568\) 5.19459 4.35878i 0.217960 0.182890i
\(569\) −40.9299 −1.71587 −0.857936 0.513756i \(-0.828254\pi\)
−0.857936 + 0.513756i \(0.828254\pi\)
\(570\) 3.37939 + 2.75314i 0.141547 + 0.115316i
\(571\) −43.9796 −1.84049 −0.920244 0.391345i \(-0.872010\pi\)
−0.920244 + 0.391345i \(0.872010\pi\)
\(572\) −0.233956 + 0.196312i −0.00978217 + 0.00820822i
\(573\) −2.59240 0.943555i −0.108299 0.0394176i
\(574\) −0.982926 + 5.57445i −0.0410265 + 0.232673i
\(575\) −1.09240 6.19529i −0.0455561 0.258361i
\(576\) −0.939693 + 0.342020i −0.0391539 + 0.0142508i
\(577\) 17.6250 30.5273i 0.733736 1.27087i −0.221539 0.975151i \(-0.571108\pi\)
0.955276 0.295717i \(-0.0955586\pi\)
\(578\) −8.33527 14.4371i −0.346702 0.600505i
\(579\) −18.2875 15.3450i −0.760001 0.637716i
\(580\) 4.55303 + 3.82045i 0.189054 + 0.158635i
\(581\) 0.950837 + 1.64690i 0.0394474 + 0.0683248i
\(582\) 1.88919 3.27217i 0.0783093 0.135636i
\(583\) 6.57310 2.39241i 0.272230 0.0990836i
\(584\) −0.0457595 0.259515i −0.00189354 0.0107388i
\(585\) −0.0812519 + 0.460802i −0.00335935 + 0.0190518i
\(586\) 8.76517 + 3.19026i 0.362086 + 0.131788i
\(587\) −30.1864 + 25.3294i −1.24593 + 1.04546i −0.248891 + 0.968532i \(0.580066\pi\)
−0.997037 + 0.0769260i \(0.975489\pi\)
\(588\) −6.71688 −0.277000
\(589\) 5.63041 34.8820i 0.231997 1.43729i
\(590\) −9.23442 −0.380175
\(591\) −13.4251 + 11.2650i −0.552237 + 0.463382i
\(592\) −3.91875 1.42631i −0.161060 0.0586209i
\(593\) 0.709197 4.02206i 0.0291232 0.165166i −0.966777 0.255620i \(-0.917721\pi\)
0.995901 + 0.0904535i \(0.0288317\pi\)
\(594\) −0.113341 0.642788i −0.00465043 0.0263739i
\(595\) 0.286989 0.104455i 0.0117654 0.00428226i
\(596\) −7.35844 + 12.7452i −0.301413 + 0.522063i
\(597\) −4.64543 8.04612i −0.190125 0.329306i
\(598\) −2.25490 1.89209i −0.0922097 0.0773731i
\(599\) 31.4545 + 26.3935i 1.28520 + 1.07841i 0.992505 + 0.122203i \(0.0389957\pi\)
0.292693 + 0.956207i \(0.405449\pi\)
\(600\) 0.500000 + 0.866025i 0.0204124 + 0.0353553i
\(601\) −18.0355 + 31.2385i −0.735685 + 1.27424i 0.218737 + 0.975784i \(0.429806\pi\)
−0.954422 + 0.298461i \(0.903527\pi\)
\(602\) −1.66637 + 0.606511i −0.0679163 + 0.0247195i
\(603\) −1.78699 10.1345i −0.0727718 0.412709i
\(604\) 0.468378 2.65630i 0.0190580 0.108083i
\(605\) 9.93629 + 3.61651i 0.403968 + 0.147032i
\(606\) −4.92649 + 4.13381i −0.200125 + 0.167925i
\(607\) 11.4365 0.464191 0.232096 0.972693i \(-0.425442\pi\)
0.232096 + 0.972693i \(0.425442\pi\)
\(608\) 3.29813 2.84997i 0.133757 0.115581i
\(609\) −3.16250 −0.128151
\(610\) 2.22075 1.86343i 0.0899156 0.0754482i
\(611\) 2.15523 + 0.784440i 0.0871913 + 0.0317350i
\(612\) 0.0996702 0.565258i 0.00402893 0.0228492i
\(613\) −0.495414 2.80963i −0.0200096 0.113480i 0.973167 0.230100i \(-0.0739053\pi\)
−0.993177 + 0.116620i \(0.962794\pi\)
\(614\) −21.6001 + 7.86181i −0.871711 + 0.317277i
\(615\) 5.31908 9.21291i 0.214486 0.371501i
\(616\) −0.173648 0.300767i −0.00699648 0.0121183i
\(617\) 6.33094 + 5.31229i 0.254874 + 0.213865i 0.761268 0.648438i \(-0.224577\pi\)
−0.506394 + 0.862302i \(0.669022\pi\)
\(618\) −0.304063 0.255139i −0.0122312 0.0102632i
\(619\) 24.0868 + 41.7195i 0.968129 + 1.67685i 0.700962 + 0.713198i \(0.252754\pi\)
0.267167 + 0.963650i \(0.413912\pi\)
\(620\) 4.05303 7.02006i 0.162774 0.281932i
\(621\) 5.91147 2.15160i 0.237219 0.0863408i
\(622\) 2.18954 + 12.4175i 0.0877926 + 0.497896i
\(623\) −0.366430 + 2.07813i −0.0146807 + 0.0832584i
\(624\) 0.439693 + 0.160035i 0.0176018 + 0.00640653i
\(625\) 0.766044 0.642788i 0.0306418 0.0257115i
\(626\) −7.60307 −0.303880
\(627\) 1.45811 + 2.44302i 0.0582313 + 0.0975647i
\(628\) −6.13516 −0.244820
\(629\) 1.83363 1.53859i 0.0731114 0.0613478i
\(630\) −0.500000 0.181985i −0.0199205 0.00725046i
\(631\) 1.03121 5.84829i 0.0410519 0.232817i −0.957378 0.288839i \(-0.906731\pi\)
0.998430 + 0.0560224i \(0.0178418\pi\)
\(632\) 0.460637 + 2.61240i 0.0183232 + 0.103916i
\(633\) 7.56418 2.75314i 0.300649 0.109427i
\(634\) −3.71941 + 6.44220i −0.147717 + 0.255853i
\(635\) 2.28699 + 3.96118i 0.0907564 + 0.157195i
\(636\) −8.20961 6.88868i −0.325532 0.273154i
\(637\) 2.40760 + 2.02022i 0.0953927 + 0.0800440i
\(638\) 1.93969 + 3.35965i 0.0767932 + 0.133010i
\(639\) 3.39053 5.87257i 0.134127 0.232315i
\(640\) 0.939693 0.342020i 0.0371446 0.0135195i
\(641\) 6.02553 + 34.1725i 0.237994 + 1.34973i 0.836216 + 0.548401i \(0.184763\pi\)
−0.598221 + 0.801331i \(0.704126\pi\)
\(642\) 2.70439 15.3374i 0.106734 0.605318i
\(643\) −28.8282 10.4926i −1.13687 0.413787i −0.296089 0.955160i \(-0.595683\pi\)
−0.840783 + 0.541373i \(0.817905\pi\)
\(644\) 2.56418 2.15160i 0.101043 0.0847849i
\(645\) 3.33275 0.131227
\(646\) 0.470133 + 2.45734i 0.0184971 + 0.0966829i
\(647\) 36.6144 1.43946 0.719731 0.694253i \(-0.244265\pi\)
0.719731 + 0.694253i \(0.244265\pi\)
\(648\) −0.766044 + 0.642788i −0.0300931 + 0.0252511i
\(649\) −5.66385 2.06147i −0.222325 0.0809199i
\(650\) 0.0812519 0.460802i 0.00318696 0.0180742i
\(651\) 0.748970 + 4.24762i 0.0293545 + 0.166477i
\(652\) −8.52481 + 3.10278i −0.333858 + 0.121514i
\(653\) −4.09152 + 7.08672i −0.160114 + 0.277325i −0.934909 0.354887i \(-0.884519\pi\)
0.774796 + 0.632212i \(0.217853\pi\)
\(654\) −3.38326 5.85997i −0.132296 0.229143i
\(655\) −3.41147 2.86257i −0.133297 0.111850i
\(656\) −8.14930 6.83807i −0.318177 0.266982i
\(657\) −0.131759 0.228213i −0.00514041 0.00890346i
\(658\) −1.30406 + 2.25870i −0.0508377 + 0.0880534i
\(659\) 19.3871 7.05634i 0.755215 0.274876i 0.0644166 0.997923i \(-0.479481\pi\)
0.690799 + 0.723047i \(0.257259\pi\)
\(660\) 0.113341 + 0.642788i 0.00441178 + 0.0250205i
\(661\) 4.49226 25.4769i 0.174729 0.990935i −0.763728 0.645538i \(-0.776633\pi\)
0.938457 0.345397i \(-0.112256\pi\)
\(662\) −1.07145 0.389977i −0.0416432 0.0151569i
\(663\) −0.205737 + 0.172634i −0.00799017 + 0.00670454i
\(664\) −3.57398 −0.138697
\(665\) 2.31908 0.0336295i 0.0899300 0.00130410i
\(666\) −4.17024 −0.161594
\(667\) −28.6425 + 24.0339i −1.10904 + 0.930597i
\(668\) −8.99020 3.27217i −0.347841 0.126604i
\(669\) 0.789210 4.47584i 0.0305126 0.173046i
\(670\) 1.78699 + 10.1345i 0.0690374 + 0.391531i
\(671\) 1.77807 0.647163i 0.0686415 0.0249835i
\(672\) −0.266044 + 0.460802i −0.0102629 + 0.0177758i
\(673\) −5.96404 10.3300i −0.229897 0.398193i 0.727880 0.685704i \(-0.240506\pi\)
−0.957777 + 0.287511i \(0.907172\pi\)
\(674\) 24.6578 + 20.6903i 0.949781 + 0.796961i
\(675\) 0.766044 + 0.642788i 0.0294851 + 0.0247409i
\(676\) 6.39053 + 11.0687i 0.245790 + 0.425720i
\(677\) −0.997474 + 1.72768i −0.0383360 + 0.0664000i −0.884557 0.466432i \(-0.845539\pi\)
0.846221 + 0.532832i \(0.178872\pi\)
\(678\) −10.0642 + 3.66306i −0.386512 + 0.140679i
\(679\) −0.349107 1.97989i −0.0133975 0.0759811i
\(680\) −0.0996702 + 0.565258i −0.00382218 + 0.0216767i
\(681\) 23.1621 + 8.43031i 0.887573 + 0.323050i
\(682\) 4.05303 3.40090i 0.155199 0.130227i
\(683\) −17.1334 −0.655592 −0.327796 0.944749i \(-0.606306\pi\)
−0.327796 + 0.944749i \(0.606306\pi\)
\(684\) 2.12449 3.80612i 0.0812317 0.145531i
\(685\) 0.0787257 0.00300795
\(686\) −5.59105 + 4.69145i −0.213467 + 0.179120i
\(687\) 12.5424 + 4.56504i 0.478521 + 0.174167i
\(688\) 0.578726 3.28212i 0.0220637 0.125130i
\(689\) 0.870767 + 4.93837i 0.0331736 + 0.188137i
\(690\) −5.91147 + 2.15160i −0.225046 + 0.0819100i
\(691\) −18.2108 + 31.5420i −0.692771 + 1.19991i 0.278155 + 0.960536i \(0.410277\pi\)
−0.970926 + 0.239379i \(0.923056\pi\)
\(692\) 11.4042 + 19.7527i 0.433523 + 0.750883i
\(693\) −0.266044 0.223238i −0.0101062 0.00848010i
\(694\) 19.0895 + 16.0180i 0.724626 + 0.608033i
\(695\) −3.13429 5.42874i −0.118890 0.205924i
\(696\) 2.97178 5.14728i 0.112645 0.195107i
\(697\) 5.73783 2.08840i 0.217336 0.0791037i
\(698\) −1.43330 8.12863i −0.0542511 0.307673i
\(699\) 2.39693 13.5936i 0.0906601 0.514159i
\(700\) 0.500000 + 0.181985i 0.0188982 + 0.00687839i
\(701\) 18.7083 15.6981i 0.706601 0.592909i −0.217042 0.976162i \(-0.569641\pi\)
0.923643 + 0.383253i \(0.125196\pi\)
\(702\) 0.467911 0.0176602
\(703\) 16.9895 6.46415i 0.640771 0.243800i
\(704\) 0.652704 0.0245997
\(705\) 3.75490 3.15074i 0.141418 0.118664i
\(706\) −2.46791 0.898246i −0.0928811 0.0338059i
\(707\) −0.594207 + 3.36992i −0.0223475 + 0.126739i
\(708\) 1.60354 + 9.09413i 0.0602647 + 0.341778i
\(709\) −1.08853 + 0.396191i −0.0408804 + 0.0148793i −0.362379 0.932031i \(-0.618036\pi\)
0.321499 + 0.946910i \(0.395813\pi\)
\(710\) −3.39053 + 5.87257i −0.127244 + 0.220394i
\(711\) 1.32635 + 2.29731i 0.0497421 + 0.0861558i
\(712\) −3.03802 2.54920i −0.113855 0.0955353i
\(713\) 39.0638 + 32.7784i 1.46295 + 1.22756i
\(714\) −0.152704 0.264490i −0.00571479 0.00989831i
\(715\) 0.152704 0.264490i 0.00571079 0.00989138i
\(716\) −17.8871 + 6.51038i −0.668473 + 0.243304i
\(717\) −2.18392 12.3856i −0.0815598 0.462549i
\(718\) −2.93283 + 16.6329i −0.109452 + 0.620734i
\(719\) 10.6395 + 3.87246i 0.396786 + 0.144418i 0.532704 0.846302i \(-0.321176\pi\)
−0.135917 + 0.990720i \(0.543398\pi\)
\(720\) 0.766044 0.642788i 0.0285488 0.0239553i
\(721\) −0.211200 −0.00786550
\(722\) −2.75537 + 18.7991i −0.102544 + 0.699632i
\(723\) 1.38238 0.0514112
\(724\) 7.55097 6.33602i 0.280630 0.235476i
\(725\) −5.58512 2.03282i −0.207426 0.0754970i
\(726\) 1.83615 10.4133i 0.0681460 0.386475i
\(727\) 2.71394 + 15.3915i 0.100655 + 0.570841i 0.992867 + 0.119225i \(0.0380410\pi\)
−0.892213 + 0.451616i \(0.850848\pi\)
\(728\) 0.233956 0.0851529i 0.00867097 0.00315597i
\(729\) −0.500000 + 0.866025i −0.0185185 + 0.0320750i
\(730\) 0.131759 + 0.228213i 0.00487662 + 0.00844656i
\(731\) 1.46538 + 1.22960i 0.0541992 + 0.0454785i
\(732\) −2.22075 1.86343i −0.0820813 0.0688744i
\(733\) 3.44222 + 5.96210i 0.127141 + 0.220215i 0.922568 0.385835i \(-0.126087\pi\)
−0.795427 + 0.606050i \(0.792753\pi\)
\(734\) 13.2135 22.8864i 0.487718 0.844753i
\(735\) 6.31180 2.29731i 0.232814 0.0847375i
\(736\) 1.09240 + 6.19529i 0.0402663 + 0.228361i
\(737\) −1.16637 + 6.61484i −0.0429639 + 0.243661i
\(738\) −9.99660 3.63846i −0.367980 0.133934i
\(739\) −1.21617 + 1.02048i −0.0447374 + 0.0375391i −0.664882 0.746948i \(-0.731518\pi\)
0.620145 + 0.784487i \(0.287074\pi\)
\(740\) 4.17024 0.153301
\(741\) −1.90626 + 0.725293i −0.0700282 + 0.0266443i
\(742\) −5.70233 −0.209339
\(743\) −35.8410 + 30.0741i −1.31488 + 1.10331i −0.327513 + 0.944847i \(0.606210\pi\)
−0.987364 + 0.158466i \(0.949345\pi\)
\(744\) −7.61721 2.77244i −0.279261 0.101643i
\(745\) 2.55556 14.4933i 0.0936285 0.530993i
\(746\) 6.13176 + 34.7749i 0.224500 + 1.27320i
\(747\) −3.35844 + 1.22237i −0.122879 + 0.0447243i
\(748\) −0.187319 + 0.324446i −0.00684905 + 0.0118629i
\(749\) −4.14337 7.17653i −0.151395 0.262225i
\(750\) −0.766044 0.642788i −0.0279720 0.0234713i
\(751\) −9.52481 7.99227i −0.347565 0.291642i 0.452246 0.891893i \(-0.350623\pi\)
−0.799812 + 0.600251i \(0.795067\pi\)
\(752\) −2.45084 4.24497i −0.0893728 0.154798i
\(753\) −0.589870 + 1.02168i −0.0214961 + 0.0372323i
\(754\) −2.61334 + 0.951178i −0.0951723 + 0.0346399i
\(755\) 0.468378 + 2.65630i 0.0170460 + 0.0966728i
\(756\) −0.0923963 + 0.524005i −0.00336042 + 0.0190579i
\(757\) 26.9200 + 9.79807i 0.978424 + 0.356117i 0.781227 0.624247i \(-0.214594\pi\)
0.197196 + 0.980364i \(0.436816\pi\)
\(758\) 19.9730 16.7593i 0.725451 0.608725i
\(759\) −4.10607 −0.149041
\(760\) −2.12449 + 3.80612i −0.0770632 + 0.138063i
\(761\) 6.84699 0.248203 0.124102 0.992270i \(-0.460395\pi\)
0.124102 + 0.992270i \(0.460395\pi\)
\(762\) 3.50387 2.94010i 0.126932 0.106508i
\(763\) −3.38326 1.23140i −0.122482 0.0445798i
\(764\) 0.479055 2.71686i 0.0173316 0.0982925i
\(765\) 0.0996702 + 0.565258i 0.00360358 + 0.0204369i
\(766\) −6.86736 + 2.49952i −0.248128 + 0.0903112i
\(767\) 2.16044 3.74200i 0.0780091 0.135116i
\(768\) −0.500000 0.866025i −0.0180422 0.0312500i
\(769\) −25.2875 21.2187i −0.911889 0.765166i 0.0605884 0.998163i \(-0.480702\pi\)
−0.972477 + 0.232997i \(0.925147\pi\)
\(770\) 0.266044 + 0.223238i 0.00958758 + 0.00804493i
\(771\) −7.92989 13.7350i −0.285588 0.494653i
\(772\) 11.9363 20.6743i 0.429596 0.744083i