Properties

Label 483.2.r.a.181.20
Level $483$
Weight $2$
Character 483.181
Analytic conductor $3.857$
Analytic rank $0$
Dimension $320$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.r (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(320\)
Relative dimension: \(32\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 181.20
Character \(\chi\) \(=\) 483.181
Dual form 483.2.r.a.475.20

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0752500 + 0.523375i) q^{2} +(0.909632 + 0.415415i) q^{3} +(1.65073 - 0.484697i) q^{4} +(-1.76629 + 2.03840i) q^{5} +(-0.148968 + 0.507339i) q^{6} +(0.0392510 + 2.64546i) q^{7} +(0.817203 + 1.78943i) q^{8} +(0.654861 + 0.755750i) q^{9} +O(q^{10})\) \(q+(0.0752500 + 0.523375i) q^{2} +(0.909632 + 0.415415i) q^{3} +(1.65073 - 0.484697i) q^{4} +(-1.76629 + 2.03840i) q^{5} +(-0.148968 + 0.507339i) q^{6} +(0.0392510 + 2.64546i) q^{7} +(0.817203 + 1.78943i) q^{8} +(0.654861 + 0.755750i) q^{9} +(-1.19976 - 0.771041i) q^{10} +(-2.70050 - 0.388273i) q^{11} +(1.70290 + 0.244841i) q^{12} +(-0.411813 + 0.640793i) q^{13} +(-1.38162 + 0.219614i) q^{14} +(-2.45345 + 1.12046i) q^{15} +(2.01956 - 1.29790i) q^{16} +(-0.483157 - 0.141868i) q^{17} +(-0.346262 + 0.399608i) q^{18} +(0.0399038 - 0.0117168i) q^{19} +(-1.92765 + 4.22096i) q^{20} +(-1.06326 + 2.42270i) q^{21} -1.44259i q^{22} +(-3.73829 - 3.00420i) q^{23} +1.96720i q^{24} +(-0.323746 - 2.25170i) q^{25} +(-0.366364 - 0.167313i) q^{26} +(0.281733 + 0.959493i) q^{27} +(1.34704 + 4.34791i) q^{28} +(3.79441 + 1.11414i) q^{29} +(-0.771041 - 1.19976i) q^{30} +(5.71157 - 2.60838i) q^{31} +(3.40774 + 3.93274i) q^{32} +(-2.29517 - 1.47501i) q^{33} +(0.0378924 - 0.263548i) q^{34} +(-5.46184 - 4.59263i) q^{35} +(1.44731 + 0.930127i) q^{36} +(4.10731 - 3.55900i) q^{37} +(0.00913506 + 0.0200030i) q^{38} +(-0.640793 + 0.411813i) q^{39} +(-5.09099 - 1.49485i) q^{40} +(5.63279 + 4.88084i) q^{41} +(-1.34799 - 0.374176i) q^{42} +(8.94510 + 4.08509i) q^{43} +(-4.64598 + 0.667991i) q^{44} -2.69719 q^{45} +(1.29102 - 2.18259i) q^{46} +0.346933i q^{47} +(2.37623 - 0.341650i) q^{48} +(-6.99692 + 0.207674i) q^{49} +(1.15412 - 0.338881i) q^{50} +(-0.380561 - 0.329758i) q^{51} +(-0.369200 + 1.25738i) q^{52} +(-1.27514 - 1.98415i) q^{53} +(-0.480975 + 0.219654i) q^{54} +(5.56131 - 4.81891i) q^{55} +(-4.70178 + 2.23212i) q^{56} +(0.0411651 + 0.00591865i) q^{57} +(-0.297583 + 2.06974i) q^{58} +(3.76908 - 5.86481i) q^{59} +(-3.50690 + 3.03875i) q^{60} +(-4.33678 - 9.49623i) q^{61} +(1.79496 + 2.79301i) q^{62} +(-1.97360 + 1.76207i) q^{63} +(1.34233 - 1.54913i) q^{64} +(-0.578816 - 1.97127i) q^{65} +(0.599275 - 1.31223i) q^{66} +(-12.8470 + 1.84712i) q^{67} -0.866322 q^{68} +(-2.15248 - 4.28565i) q^{69} +(1.99267 - 3.20419i) q^{70} +(-0.383436 - 2.66686i) q^{71} +(-0.817203 + 1.78943i) q^{72} +(2.43056 + 8.27772i) q^{73} +(2.17177 + 1.88185i) q^{74} +(0.640901 - 2.18271i) q^{75} +(0.0601912 - 0.0386825i) q^{76} +(0.921164 - 7.15930i) q^{77} +(-0.263752 - 0.304386i) q^{78} +(0.221838 - 0.345187i) q^{79} +(-0.921496 + 6.40914i) q^{80} +(-0.142315 + 0.989821i) q^{81} +(-2.13064 + 3.31535i) q^{82} +(8.16416 + 9.42195i) q^{83} +(-0.580876 + 4.51458i) q^{84} +(1.14258 - 0.734289i) q^{85} +(-1.46492 + 4.98905i) q^{86} +(2.98868 + 2.58971i) q^{87} +(-1.51207 - 5.14964i) q^{88} +(2.18387 - 4.78201i) q^{89} +(-0.202964 - 1.41165i) q^{90} +(-1.71136 - 1.06428i) q^{91} +(-7.62702 - 3.14717i) q^{92} +6.27898 q^{93} +(-0.181576 + 0.0261067i) q^{94} +(-0.0465980 + 0.102035i) q^{95} +(1.46607 + 4.99297i) q^{96} +(0.138876 - 0.160271i) q^{97} +(-0.635210 - 3.64639i) q^{98} +(-1.47501 - 2.29517i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} + O(q^{10}) \) \( 320q + 4q^{2} - 36q^{4} + 12q^{8} + 32q^{9} - 4q^{18} + 52q^{23} - 68q^{25} - 88q^{28} + 24q^{32} + 28q^{35} + 14q^{36} - 44q^{37} + 110q^{42} - 44q^{43} - 154q^{44} + 40q^{46} - 16q^{49} - 166q^{50} - 44q^{51} + 110q^{56} - 44q^{57} - 62q^{58} - 84q^{64} + 72q^{70} - 40q^{71} - 12q^{72} + 22q^{74} + 72q^{77} - 8q^{78} - 88q^{79} - 32q^{81} - 304q^{85} + 330q^{88} - 412q^{92} + 24q^{93} + 148q^{95} - 60q^{98} + 44q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0752500 + 0.523375i 0.0532098 + 0.370082i 0.998976 + 0.0452352i \(0.0144037\pi\)
−0.945767 + 0.324847i \(0.894687\pi\)
\(3\) 0.909632 + 0.415415i 0.525176 + 0.239840i
\(4\) 1.65073 0.484697i 0.825363 0.242349i
\(5\) −1.76629 + 2.03840i −0.789907 + 0.911602i −0.997783 0.0665536i \(-0.978800\pi\)
0.207875 + 0.978155i \(0.433345\pi\)
\(6\) −0.148968 + 0.507339i −0.0608160 + 0.207120i
\(7\) 0.0392510 + 2.64546i 0.0148355 + 0.999890i
\(8\) 0.817203 + 1.78943i 0.288925 + 0.632657i
\(9\) 0.654861 + 0.755750i 0.218287 + 0.251917i
\(10\) −1.19976 0.771041i −0.379398 0.243825i
\(11\) −2.70050 0.388273i −0.814231 0.117069i −0.277396 0.960756i \(-0.589471\pi\)
−0.536835 + 0.843687i \(0.680380\pi\)
\(12\) 1.70290 + 0.244841i 0.491586 + 0.0706794i
\(13\) −0.411813 + 0.640793i −0.114216 + 0.177724i −0.893655 0.448754i \(-0.851868\pi\)
0.779439 + 0.626478i \(0.215504\pi\)
\(14\) −1.38162 + 0.219614i −0.369252 + 0.0586943i
\(15\) −2.45345 + 1.12046i −0.633479 + 0.289300i
\(16\) 2.01956 1.29790i 0.504891 0.324474i
\(17\) −0.483157 0.141868i −0.117183 0.0344079i 0.222615 0.974906i \(-0.428541\pi\)
−0.339798 + 0.940498i \(0.610359\pi\)
\(18\) −0.346262 + 0.399608i −0.0816148 + 0.0941885i
\(19\) 0.0399038 0.0117168i 0.00915457 0.00268802i −0.277152 0.960826i \(-0.589391\pi\)
0.286307 + 0.958138i \(0.407572\pi\)
\(20\) −1.92765 + 4.22096i −0.431035 + 0.943836i
\(21\) −1.06326 + 2.42270i −0.232022 + 0.528677i
\(22\) 1.44259i 0.307562i
\(23\) −3.73829 3.00420i −0.779487 0.626418i
\(24\) 1.96720i 0.401552i
\(25\) −0.323746 2.25170i −0.0647492 0.450340i
\(26\) −0.366364 0.167313i −0.0718499 0.0328128i
\(27\) 0.281733 + 0.959493i 0.0542195 + 0.184655i
\(28\) 1.34704 + 4.34791i 0.254567 + 0.821677i
\(29\) 3.79441 + 1.11414i 0.704603 + 0.206890i 0.614356 0.789029i \(-0.289416\pi\)
0.0902476 + 0.995919i \(0.471234\pi\)
\(30\) −0.771041 1.19976i −0.140772 0.219046i
\(31\) 5.71157 2.60838i 1.02583 0.468480i 0.169837 0.985472i \(-0.445676\pi\)
0.855990 + 0.516992i \(0.172948\pi\)
\(32\) 3.40774 + 3.93274i 0.602409 + 0.695217i
\(33\) −2.29517 1.47501i −0.399537 0.256767i
\(34\) 0.0378924 0.263548i 0.00649850 0.0451981i
\(35\) −5.46184 4.59263i −0.923220 0.776296i
\(36\) 1.44731 + 0.930127i 0.241218 + 0.155021i
\(37\) 4.10731 3.55900i 0.675238 0.585097i −0.248263 0.968693i \(-0.579860\pi\)
0.923501 + 0.383596i \(0.125314\pi\)
\(38\) 0.00913506 + 0.0200030i 0.00148190 + 0.00324491i
\(39\) −0.640793 + 0.411813i −0.102609 + 0.0659428i
\(40\) −5.09099 1.49485i −0.804956 0.236356i
\(41\) 5.63279 + 4.88084i 0.879694 + 0.762259i 0.972372 0.233437i \(-0.0749973\pi\)
−0.0926782 + 0.995696i \(0.529543\pi\)
\(42\) −1.34799 0.374176i −0.208000 0.0577366i
\(43\) 8.94510 + 4.08509i 1.36412 + 0.622971i 0.956915 0.290368i \(-0.0937777\pi\)
0.407201 + 0.913339i \(0.366505\pi\)
\(44\) −4.64598 + 0.667991i −0.700408 + 0.100703i
\(45\) −2.69719 −0.402074
\(46\) 1.29102 2.18259i 0.190350 0.321806i
\(47\) 0.346933i 0.0506054i 0.999680 + 0.0253027i \(0.00805497\pi\)
−0.999680 + 0.0253027i \(0.991945\pi\)
\(48\) 2.37623 0.341650i 0.342979 0.0493129i
\(49\) −6.99692 + 0.207674i −0.999560 + 0.0296677i
\(50\) 1.15412 0.338881i 0.163218 0.0479251i
\(51\) −0.380561 0.329758i −0.0532892 0.0461753i
\(52\) −0.369200 + 1.25738i −0.0511988 + 0.174367i
\(53\) −1.27514 1.98415i −0.175154 0.272545i 0.742566 0.669773i \(-0.233608\pi\)
−0.917720 + 0.397228i \(0.869972\pi\)
\(54\) −0.480975 + 0.219654i −0.0654524 + 0.0298911i
\(55\) 5.56131 4.81891i 0.749887 0.649781i
\(56\) −4.70178 + 2.23212i −0.628301 + 0.298279i
\(57\) 0.0411651 + 0.00591865i 0.00545246 + 0.000783945i
\(58\) −0.297583 + 2.06974i −0.0390746 + 0.271770i
\(59\) 3.76908 5.86481i 0.490693 0.763533i −0.504295 0.863532i \(-0.668248\pi\)
0.994988 + 0.0999988i \(0.0318839\pi\)
\(60\) −3.50690 + 3.03875i −0.452739 + 0.392301i
\(61\) −4.33678 9.49623i −0.555268 1.21587i −0.954278 0.298921i \(-0.903373\pi\)
0.399010 0.916947i \(-0.369354\pi\)
\(62\) 1.79496 + 2.79301i 0.227960 + 0.354713i
\(63\) −1.97360 + 1.76207i −0.248650 + 0.222000i
\(64\) 1.34233 1.54913i 0.167791 0.193642i
\(65\) −0.578816 1.97127i −0.0717932 0.244505i
\(66\) 0.599275 1.31223i 0.0737656 0.161524i
\(67\) −12.8470 + 1.84712i −1.56951 + 0.225661i −0.871488 0.490417i \(-0.836845\pi\)
−0.698020 + 0.716078i \(0.745936\pi\)
\(68\) −0.866322 −0.105057
\(69\) −2.15248 4.28565i −0.259128 0.515932i
\(70\) 1.99267 3.20419i 0.238169 0.382974i
\(71\) −0.383436 2.66686i −0.0455055 0.316498i −0.999842 0.0177645i \(-0.994345\pi\)
0.954337 0.298733i \(-0.0965640\pi\)
\(72\) −0.817203 + 1.78943i −0.0963083 + 0.210886i
\(73\) 2.43056 + 8.27772i 0.284475 + 0.968834i 0.970469 + 0.241226i \(0.0775496\pi\)
−0.685994 + 0.727608i \(0.740632\pi\)
\(74\) 2.17177 + 1.88185i 0.252463 + 0.218761i
\(75\) 0.640901 2.18271i 0.0740049 0.252038i
\(76\) 0.0601912 0.0386825i 0.00690441 0.00443719i
\(77\) 0.921164 7.15930i 0.104976 0.815878i
\(78\) −0.263752 0.304386i −0.0298641 0.0344650i
\(79\) 0.221838 0.345187i 0.0249588 0.0388366i −0.828550 0.559915i \(-0.810834\pi\)
0.853509 + 0.521078i \(0.174470\pi\)
\(80\) −0.921496 + 6.40914i −0.103026 + 0.716564i
\(81\) −0.142315 + 0.989821i −0.0158128 + 0.109980i
\(82\) −2.13064 + 3.31535i −0.235290 + 0.366119i
\(83\) 8.16416 + 9.42195i 0.896133 + 1.03419i 0.999219 + 0.0395204i \(0.0125830\pi\)
−0.103085 + 0.994672i \(0.532872\pi\)
\(84\) −0.580876 + 4.51458i −0.0633787 + 0.492581i
\(85\) 1.14258 0.734289i 0.123930 0.0796448i
\(86\) −1.46492 + 4.98905i −0.157966 + 0.537983i
\(87\) 2.98868 + 2.58971i 0.320420 + 0.277646i
\(88\) −1.51207 5.14964i −0.161187 0.548954i
\(89\) 2.18387 4.78201i 0.231490 0.506892i −0.757866 0.652411i \(-0.773758\pi\)
0.989356 + 0.145518i \(0.0464850\pi\)
\(90\) −0.202964 1.41165i −0.0213943 0.148800i
\(91\) −1.71136 1.06428i −0.179399 0.111567i
\(92\) −7.62702 3.14717i −0.795172 0.328115i
\(93\) 6.27898 0.651100
\(94\) −0.181576 + 0.0261067i −0.0187282 + 0.00269271i
\(95\) −0.0465980 + 0.102035i −0.00478085 + 0.0104686i
\(96\) 1.46607 + 4.99297i 0.149630 + 0.509593i
\(97\) 0.138876 0.160271i 0.0141007 0.0162731i −0.748655 0.662959i \(-0.769300\pi\)
0.762756 + 0.646686i \(0.223846\pi\)
\(98\) −0.635210 3.64639i −0.0641659 0.368341i
\(99\) −1.47501 2.29517i −0.148244 0.230673i
\(100\) −1.62581 3.56003i −0.162581 0.356003i
\(101\) 12.2123 10.5820i 1.21517 1.05295i 0.218137 0.975918i \(-0.430002\pi\)
0.997029 0.0770293i \(-0.0245435\pi\)
\(102\) 0.143950 0.223990i 0.0142532 0.0221784i
\(103\) 0.935789 6.50856i 0.0922060 0.641307i −0.890341 0.455294i \(-0.849534\pi\)
0.982547 0.186013i \(-0.0595567\pi\)
\(104\) −1.48319 0.213250i −0.145438 0.0209109i
\(105\) −3.06042 6.44654i −0.298666 0.629118i
\(106\) 0.942503 0.816684i 0.0915440 0.0793233i
\(107\) −1.75185 + 0.800042i −0.169358 + 0.0773430i −0.498290 0.867010i \(-0.666038\pi\)
0.328932 + 0.944353i \(0.393311\pi\)
\(108\) 0.930127 + 1.44731i 0.0895015 + 0.139267i
\(109\) 1.76274 6.00333i 0.168840 0.575015i −0.830985 0.556295i \(-0.812223\pi\)
0.999825 0.0187203i \(-0.00595919\pi\)
\(110\) 2.94059 + 2.54803i 0.280374 + 0.242945i
\(111\) 5.21461 1.53115i 0.494948 0.145330i
\(112\) 3.51280 + 5.29173i 0.331928 + 0.500022i
\(113\) −7.23377 + 1.04006i −0.680496 + 0.0978405i −0.473890 0.880584i \(-0.657151\pi\)
−0.206605 + 0.978424i \(0.566242\pi\)
\(114\) 0.0219902i 0.00205957i
\(115\) 12.7267 2.31387i 1.18677 0.215769i
\(116\) 6.80355 0.631693
\(117\) −0.753959 + 0.108403i −0.0697036 + 0.0100219i
\(118\) 3.35312 + 1.53132i 0.308680 + 0.140969i
\(119\) 0.356341 1.28374i 0.0326657 0.117680i
\(120\) −4.00994 3.47463i −0.366056 0.317189i
\(121\) −3.41248 1.00199i −0.310226 0.0910905i
\(122\) 4.64375 2.98436i 0.420425 0.270191i
\(123\) 3.09619 + 6.77971i 0.279174 + 0.611306i
\(124\) 8.16396 7.07411i 0.733145 0.635274i
\(125\) −6.18342 3.97384i −0.553061 0.355431i
\(126\) −1.07074 0.900338i −0.0953890 0.0802085i
\(127\) 1.19758 8.32934i 0.106268 0.739109i −0.865112 0.501578i \(-0.832753\pi\)
0.971380 0.237531i \(-0.0763380\pi\)
\(128\) 9.66715 + 6.21270i 0.854464 + 0.549131i
\(129\) 6.43974 + 7.43186i 0.566988 + 0.654339i
\(130\) 0.988156 0.451276i 0.0866670 0.0395795i
\(131\) −6.84641 10.6532i −0.598174 0.930776i −0.999887 0.0150111i \(-0.995222\pi\)
0.401714 0.915765i \(-0.368415\pi\)
\(132\) −4.50363 1.32238i −0.391990 0.115099i
\(133\) 0.0325626 + 0.105104i 0.00282354 + 0.00911368i
\(134\) −1.93347 6.58480i −0.167026 0.568840i
\(135\) −2.45345 1.12046i −0.211160 0.0964334i
\(136\) −0.140976 0.980507i −0.0120886 0.0840778i
\(137\) 1.92949i 0.164847i 0.996597 + 0.0824236i \(0.0262661\pi\)
−0.996597 + 0.0824236i \(0.973734\pi\)
\(138\) 2.08103 1.44905i 0.177149 0.123351i
\(139\) 20.5104i 1.73967i −0.493342 0.869835i \(-0.664225\pi\)
0.493342 0.869835i \(-0.335775\pi\)
\(140\) −11.2420 4.93384i −0.950126 0.416986i
\(141\) −0.144121 + 0.315582i −0.0121372 + 0.0265768i
\(142\) 1.36691 0.401362i 0.114709 0.0336815i
\(143\) 1.36090 1.57057i 0.113804 0.131337i
\(144\) 2.30342 + 0.676344i 0.191951 + 0.0563620i
\(145\) −8.97307 + 5.76664i −0.745173 + 0.478894i
\(146\) −4.14946 + 1.89499i −0.343411 + 0.156831i
\(147\) −6.45089 2.71772i −0.532061 0.224154i
\(148\) 5.05501 7.86575i 0.415519 0.646560i
\(149\) 5.55769 + 0.799076i 0.455304 + 0.0654628i 0.366152 0.930555i \(-0.380675\pi\)
0.0891523 + 0.996018i \(0.471584\pi\)
\(150\) 1.19060 + 0.171183i 0.0972124 + 0.0139770i
\(151\) −14.4632 9.29492i −1.17700 0.756410i −0.202165 0.979351i \(-0.564798\pi\)
−0.974832 + 0.222941i \(0.928434\pi\)
\(152\) 0.0535759 + 0.0618299i 0.00434558 + 0.00501507i
\(153\) −0.209184 0.458049i −0.0169115 0.0370311i
\(154\) 3.81632 0.0566232i 0.307528 0.00456283i
\(155\) −4.77132 + 16.2496i −0.383242 + 1.30520i
\(156\) −0.858170 + 0.990381i −0.0687086 + 0.0792939i
\(157\) 10.6268 3.12031i 0.848110 0.249028i 0.171331 0.985214i \(-0.445193\pi\)
0.676779 + 0.736186i \(0.263375\pi\)
\(158\) 0.197356 + 0.0901293i 0.0157008 + 0.00717031i
\(159\) −0.335659 2.33456i −0.0266195 0.185143i
\(160\) −14.0356 −1.10961
\(161\) 7.80075 10.0074i 0.614785 0.788695i
\(162\) −0.528757 −0.0415431
\(163\) 1.44285 + 10.0353i 0.113013 + 0.786023i 0.964960 + 0.262395i \(0.0845125\pi\)
−0.851947 + 0.523627i \(0.824578\pi\)
\(164\) 11.6639 + 5.32673i 0.910799 + 0.415948i
\(165\) 7.06059 2.07318i 0.549667 0.161397i
\(166\) −4.31686 + 4.98192i −0.335053 + 0.386672i
\(167\) −0.726388 + 2.47385i −0.0562096 + 0.191432i −0.982812 0.184611i \(-0.940897\pi\)
0.926602 + 0.376043i \(0.122716\pi\)
\(168\) −5.20414 + 0.0772144i −0.401508 + 0.00595722i
\(169\) 5.15937 + 11.2974i 0.396875 + 0.869034i
\(170\) 0.470288 + 0.542741i 0.0360694 + 0.0416263i
\(171\) 0.0349864 + 0.0224844i 0.00267548 + 0.00171943i
\(172\) 16.7460 + 2.40770i 1.27687 + 0.183586i
\(173\) −14.1938 2.04076i −1.07914 0.155156i −0.420257 0.907405i \(-0.638060\pi\)
−0.658879 + 0.752249i \(0.728969\pi\)
\(174\) −1.13049 + 1.75908i −0.0857023 + 0.133355i
\(175\) 5.94408 0.944838i 0.449330 0.0714231i
\(176\) −5.95777 + 2.72082i −0.449084 + 0.205090i
\(177\) 5.86481 3.76908i 0.440826 0.283302i
\(178\) 2.66712 + 0.783139i 0.199909 + 0.0586987i
\(179\) −9.57278 + 11.0476i −0.715503 + 0.825734i −0.990759 0.135637i \(-0.956692\pi\)
0.275256 + 0.961371i \(0.411237\pi\)
\(180\) −4.45233 + 1.30732i −0.331857 + 0.0974420i
\(181\) −6.24410 + 13.6727i −0.464120 + 1.01628i 0.522409 + 0.852695i \(0.325034\pi\)
−0.986529 + 0.163586i \(0.947694\pi\)
\(182\) 0.428240 0.975769i 0.0317432 0.0723288i
\(183\) 10.4396i 0.771720i
\(184\) 2.32084 9.14443i 0.171095 0.674136i
\(185\) 14.6586i 1.07772i
\(186\) 0.472494 + 3.28627i 0.0346449 + 0.240961i
\(187\) 1.24968 + 0.570710i 0.0913857 + 0.0417344i
\(188\) 0.168158 + 0.572692i 0.0122642 + 0.0417679i
\(189\) −2.52724 + 0.782973i −0.183830 + 0.0569529i
\(190\) −0.0569093 0.0167101i −0.00412863 0.00121228i
\(191\) 10.6908 + 16.6352i 0.773557 + 1.20368i 0.974569 + 0.224089i \(0.0719406\pi\)
−0.201012 + 0.979589i \(0.564423\pi\)
\(192\) 1.86456 0.851516i 0.134563 0.0614529i
\(193\) 7.82709 + 9.03294i 0.563406 + 0.650206i 0.963954 0.266071i \(-0.0857254\pi\)
−0.400547 + 0.916276i \(0.631180\pi\)
\(194\) 0.0943323 + 0.0606237i 0.00677267 + 0.00435253i
\(195\) 0.292384 2.03357i 0.0209380 0.145627i
\(196\) −11.4493 + 3.73420i −0.817810 + 0.266729i
\(197\) −7.62604 4.90096i −0.543333 0.349179i 0.240008 0.970771i \(-0.422850\pi\)
−0.783341 + 0.621592i \(0.786486\pi\)
\(198\) 1.09024 0.944697i 0.0774799 0.0671367i
\(199\) 3.01039 + 6.59182i 0.213401 + 0.467282i 0.985815 0.167837i \(-0.0536783\pi\)
−0.772414 + 0.635119i \(0.780951\pi\)
\(200\) 3.76469 2.41942i 0.266204 0.171079i
\(201\) −12.4533 3.65663i −0.878391 0.257919i
\(202\) 6.45733 + 5.59531i 0.454336 + 0.393684i
\(203\) −2.79847 + 10.0817i −0.196414 + 0.707595i
\(204\) −0.788034 0.359883i −0.0551734 0.0251969i
\(205\) −19.8982 + 2.86093i −1.38975 + 0.199816i
\(206\) 3.47684 0.242243
\(207\) −0.177639 4.79254i −0.0123467 0.333105i
\(208\) 1.82861i 0.126792i
\(209\) −0.112310 + 0.0161477i −0.00776862 + 0.00111696i
\(210\) 3.14366 2.08685i 0.216933 0.144006i
\(211\) −17.0012 + 4.99201i −1.17041 + 0.343664i −0.808470 0.588537i \(-0.799704\pi\)
−0.361941 + 0.932201i \(0.617886\pi\)
\(212\) −3.06662 2.65724i −0.210616 0.182500i
\(213\) 0.759066 2.58514i 0.0520104 0.177131i
\(214\) −0.550549 0.856671i −0.0376348 0.0585608i
\(215\) −24.1267 + 11.0183i −1.64543 + 0.751441i
\(216\) −1.48671 + 1.28824i −0.101158 + 0.0876536i
\(217\) 7.12456 + 15.0073i 0.483647 + 1.01876i
\(218\) 3.27464 + 0.470822i 0.221787 + 0.0318881i
\(219\) −1.22778 + 8.53937i −0.0829654 + 0.577037i
\(220\) 6.84450 10.6502i 0.461456 0.718040i
\(221\) 0.289878 0.251181i 0.0194993 0.0168962i
\(222\) 1.19376 + 2.61398i 0.0801201 + 0.175439i
\(223\) 6.69005 + 10.4099i 0.447999 + 0.697100i 0.989650 0.143504i \(-0.0458369\pi\)
−0.541651 + 0.840604i \(0.682201\pi\)
\(224\) −10.2702 + 9.16940i −0.686203 + 0.612656i
\(225\) 1.48971 1.71922i 0.0993143 0.114615i
\(226\) −1.08868 3.70771i −0.0724181 0.246633i
\(227\) 6.59187 14.4342i 0.437518 0.958030i −0.554529 0.832164i \(-0.687102\pi\)
0.992047 0.125866i \(-0.0401710\pi\)
\(228\) 0.0708212 0.0101825i 0.00469025 0.000674356i
\(229\) −19.8868 −1.31416 −0.657079 0.753822i \(-0.728208\pi\)
−0.657079 + 0.753822i \(0.728208\pi\)
\(230\) 2.16870 + 6.48670i 0.143000 + 0.427720i
\(231\) 3.81200 6.12967i 0.250811 0.403302i
\(232\) 1.10713 + 7.70028i 0.0726869 + 0.505548i
\(233\) 3.90516 8.55110i 0.255835 0.560201i −0.737515 0.675331i \(-0.764001\pi\)
0.993351 + 0.115129i \(0.0367283\pi\)
\(234\) −0.113471 0.386446i −0.00741782 0.0252628i
\(235\) −0.707190 0.612784i −0.0461320 0.0399736i
\(236\) 3.37907 11.5081i 0.219959 0.749111i
\(237\) 0.345187 0.221838i 0.0224223 0.0144099i
\(238\) 0.698692 + 0.0898984i 0.0452895 + 0.00582725i
\(239\) −7.39539 8.53473i −0.478368 0.552066i 0.464352 0.885651i \(-0.346287\pi\)
−0.942720 + 0.333585i \(0.891742\pi\)
\(240\) −3.50068 + 5.44716i −0.225968 + 0.351613i
\(241\) −3.27761 + 22.7962i −0.211129 + 1.46844i 0.558266 + 0.829662i \(0.311467\pi\)
−0.769395 + 0.638773i \(0.779442\pi\)
\(242\) 0.267630 1.86141i 0.0172039 0.119656i
\(243\) −0.540641 + 0.841254i −0.0346821 + 0.0539664i
\(244\) −11.7616 13.5737i −0.752962 0.868964i
\(245\) 11.9352 14.6294i 0.762515 0.934635i
\(246\) −3.31535 + 2.13064i −0.211379 + 0.135845i
\(247\) −0.00892485 + 0.0303952i −0.000567874 + 0.00193400i
\(248\) 9.33502 + 8.08884i 0.592774 + 0.513642i
\(249\) 3.51237 + 11.9620i 0.222587 + 0.758062i
\(250\) 1.61451 3.53528i 0.102110 0.223591i
\(251\) −3.54996 24.6905i −0.224072 1.55845i −0.722407 0.691468i \(-0.756964\pi\)
0.498336 0.866984i \(-0.333945\pi\)
\(252\) −2.40381 + 3.86530i −0.151426 + 0.243491i
\(253\) 8.92880 + 9.56431i 0.561349 + 0.601303i
\(254\) 4.44949 0.279186
\(255\) 1.34436 0.193290i 0.0841870 0.0121043i
\(256\) −0.821090 + 1.79794i −0.0513181 + 0.112371i
\(257\) 8.22374 + 28.0075i 0.512983 + 1.74706i 0.653446 + 0.756973i \(0.273323\pi\)
−0.140463 + 0.990086i \(0.544859\pi\)
\(258\) −3.40506 + 3.92965i −0.211990 + 0.244649i
\(259\) 9.57642 + 10.7260i 0.595050 + 0.666483i
\(260\) −1.91093 2.97347i −0.118511 0.184407i
\(261\) 1.64280 + 3.59723i 0.101687 + 0.222663i
\(262\) 5.06044 4.38490i 0.312635 0.270900i
\(263\) 14.7498 22.9511i 0.909510 1.41523i −0.000208419 1.00000i \(-0.500066\pi\)
0.909719 0.415225i \(-0.136297\pi\)
\(264\) 0.763810 5.31241i 0.0470093 0.326957i
\(265\) 6.29677 + 0.905338i 0.386807 + 0.0556145i
\(266\) −0.0525586 + 0.0249516i −0.00322257 + 0.00152988i
\(267\) 3.97304 3.44266i 0.243146 0.210687i
\(268\) −20.3116 + 9.27598i −1.24073 + 0.566621i
\(269\) 4.33828 + 6.75049i 0.264509 + 0.411585i 0.947949 0.318423i \(-0.103153\pi\)
−0.683440 + 0.730007i \(0.739517\pi\)
\(270\) 0.401796 1.36839i 0.0244525 0.0832777i
\(271\) −6.38050 5.52874i −0.387588 0.335847i 0.439171 0.898404i \(-0.355272\pi\)
−0.826759 + 0.562557i \(0.809818\pi\)
\(272\) −1.15990 + 0.340576i −0.0703290 + 0.0206505i
\(273\) −1.11459 1.67903i −0.0674578 0.101619i
\(274\) −1.00985 + 0.145194i −0.0610070 + 0.00877149i
\(275\) 6.20642i 0.374261i
\(276\) −5.63040 6.03114i −0.338910 0.363032i
\(277\) −21.6609 −1.30148 −0.650739 0.759302i \(-0.725541\pi\)
−0.650739 + 0.759302i \(0.725541\pi\)
\(278\) 10.7346 1.54341i 0.643821 0.0925675i
\(279\) 5.71157 + 2.60838i 0.341942 + 0.156160i
\(280\) 3.75474 13.5267i 0.224388 0.808373i
\(281\) 16.0910 + 13.9430i 0.959911 + 0.831768i 0.985805 0.167897i \(-0.0536976\pi\)
−0.0258935 + 0.999665i \(0.508243\pi\)
\(282\) −0.176013 0.0516820i −0.0104814 0.00307762i
\(283\) −17.2007 + 11.0542i −1.02248 + 0.657105i −0.940593 0.339537i \(-0.889730\pi\)
−0.0818824 + 0.996642i \(0.526093\pi\)
\(284\) −1.92557 4.21640i −0.114261 0.250197i
\(285\) −0.0847740 + 0.0734571i −0.00502158 + 0.00435122i
\(286\) 0.924403 + 0.594078i 0.0546611 + 0.0351286i
\(287\) −12.6910 + 15.0929i −0.749124 + 0.890905i
\(288\) −0.740572 + 5.15079i −0.0436387 + 0.303513i
\(289\) −14.0880 9.05381i −0.828706 0.532577i
\(290\) −3.69334 4.26234i −0.216881 0.250293i
\(291\) 0.192905 0.0880966i 0.0113083 0.00516432i
\(292\) 8.02437 + 12.4862i 0.469591 + 0.730698i
\(293\) −2.98957 0.877817i −0.174653 0.0512826i 0.193237 0.981152i \(-0.438101\pi\)
−0.367890 + 0.929869i \(0.619920\pi\)
\(294\) 0.936957 3.58075i 0.0546444 0.208833i
\(295\) 5.29756 + 18.0418i 0.308436 + 1.05044i
\(296\) 9.72508 + 4.44130i 0.565259 + 0.258145i
\(297\) −0.388273 2.70050i −0.0225299 0.156699i
\(298\) 2.96889i 0.171983i
\(299\) 3.46454 1.15830i 0.200360 0.0669864i
\(300\) 3.91370i 0.225958i
\(301\) −10.4558 + 23.8243i −0.602665 + 1.37321i
\(302\) 3.77638 8.26912i 0.217306 0.475834i
\(303\) 15.5046 4.55256i 0.890715 0.261538i
\(304\) 0.0653812 0.0754539i 0.00374987 0.00432758i
\(305\) 27.0171 + 7.93295i 1.54700 + 0.454239i
\(306\) 0.223990 0.143950i 0.0128047 0.00822907i
\(307\) 9.12608 4.16774i 0.520853 0.237866i −0.137599 0.990488i \(-0.543939\pi\)
0.658452 + 0.752622i \(0.271211\pi\)
\(308\) −1.94950 12.2645i −0.111083 0.698837i
\(309\) 3.55498 5.53165i 0.202235 0.314685i
\(310\) −8.86370 1.27441i −0.503424 0.0723815i
\(311\) −26.4381 3.80123i −1.49917 0.215548i −0.656641 0.754203i \(-0.728023\pi\)
−0.842526 + 0.538655i \(0.818933\pi\)
\(312\) −1.26057 0.810117i −0.0713655 0.0458638i
\(313\) 7.77399 + 8.97166i 0.439412 + 0.507108i 0.931652 0.363351i \(-0.118367\pi\)
−0.492240 + 0.870459i \(0.663822\pi\)
\(314\) 2.43276 + 5.32700i 0.137289 + 0.300620i
\(315\) −0.105868 7.13532i −0.00596496 0.402030i
\(316\) 0.198883 0.677334i 0.0111881 0.0381030i
\(317\) 18.0875 20.8741i 1.01590 1.17241i 0.0309552 0.999521i \(-0.490145\pi\)
0.984942 0.172887i \(-0.0553095\pi\)
\(318\) 1.19659 0.351352i 0.0671016 0.0197028i
\(319\) −9.81420 4.48199i −0.549490 0.250944i
\(320\) 0.786816 + 5.47242i 0.0439843 + 0.305918i
\(321\) −1.92589 −0.107493
\(322\) 5.82464 + 3.32966i 0.324594 + 0.185555i
\(323\) −0.0209420 −0.00116525
\(324\) 0.244841 + 1.70290i 0.0136023 + 0.0946058i
\(325\) 1.57620 + 0.719826i 0.0874317 + 0.0399287i
\(326\) −5.14364 + 1.51031i −0.284880 + 0.0836482i
\(327\) 4.09732 4.72855i 0.226582 0.261490i
\(328\) −4.13076 + 14.0681i −0.228083 + 0.776780i
\(329\) −0.917799 + 0.0136175i −0.0505999 + 0.000750756i
\(330\) 1.61636 + 3.53933i 0.0889777 + 0.194834i
\(331\) −19.1256 22.0721i −1.05124 1.21319i −0.976394 0.215995i \(-0.930700\pi\)
−0.0748412 0.997195i \(-0.523845\pi\)
\(332\) 18.0436 + 11.5959i 0.990271 + 0.636408i
\(333\) 5.37943 + 0.773446i 0.294791 + 0.0423846i
\(334\) −1.34941 0.194016i −0.0738366 0.0106161i
\(335\) 18.9263 29.4499i 1.03405 1.60902i
\(336\) 0.997090 + 6.27280i 0.0543957 + 0.342209i
\(337\) 9.68728 4.42403i 0.527700 0.240992i −0.133706 0.991021i \(-0.542688\pi\)
0.661405 + 0.750029i \(0.269960\pi\)
\(338\) −5.52456 + 3.55042i −0.300496 + 0.193117i
\(339\) −7.01212 2.05895i −0.380846 0.111827i
\(340\) 1.53017 1.76591i 0.0829853 0.0957701i
\(341\) −16.4368 + 4.82629i −0.890105 + 0.261358i
\(342\) −0.00913506 + 0.0200030i −0.000493967 + 0.00108164i
\(343\) −0.824029 18.5019i −0.0444934 0.999010i
\(344\) 19.3449i 1.04301i
\(345\) 12.5378 + 3.18207i 0.675012 + 0.171317i
\(346\) 7.58226i 0.407625i
\(347\) −1.85150 12.8775i −0.0993939 0.691300i −0.977206 0.212294i \(-0.931907\pi\)
0.877812 0.479005i \(-0.159003\pi\)
\(348\) 6.18872 + 2.82630i 0.331750 + 0.151505i
\(349\) 8.98132 + 30.5876i 0.480759 + 1.63732i 0.740806 + 0.671719i \(0.234444\pi\)
−0.260047 + 0.965596i \(0.583738\pi\)
\(350\) 0.941797 + 3.03989i 0.0503412 + 0.162489i
\(351\) −0.730858 0.214599i −0.0390103 0.0114545i
\(352\) −7.67562 11.9435i −0.409112 0.636591i
\(353\) −24.3233 + 11.1081i −1.29460 + 0.591224i −0.939162 0.343476i \(-0.888396\pi\)
−0.355438 + 0.934700i \(0.615668\pi\)
\(354\) 2.41397 + 2.78587i 0.128301 + 0.148067i
\(355\) 6.11339 + 3.92883i 0.324465 + 0.208521i
\(356\) 1.28715 8.95232i 0.0682187 0.474472i
\(357\) 0.857424 1.01970i 0.0453797 0.0539683i
\(358\) −6.50238 4.17883i −0.343661 0.220858i
\(359\) 14.1638 12.2730i 0.747539 0.647746i −0.195395 0.980725i \(-0.562599\pi\)
0.942935 + 0.332978i \(0.108054\pi\)
\(360\) −2.20416 4.82643i −0.116169 0.254375i
\(361\) −15.9824 + 10.2712i −0.841177 + 0.540592i
\(362\) −7.62581 2.23914i −0.400804 0.117687i
\(363\) −2.68786 2.32904i −0.141076 0.122243i
\(364\) −3.34084 0.927350i −0.175107 0.0486063i
\(365\) −21.1664 9.66637i −1.10790 0.505961i
\(366\) 5.46385 0.785583i 0.285600 0.0410631i
\(367\) −4.91850 −0.256744 −0.128372 0.991726i \(-0.540975\pi\)
−0.128372 + 0.991726i \(0.540975\pi\)
\(368\) −11.4489 1.21526i −0.596813 0.0633498i
\(369\) 7.45325i 0.388000i
\(370\) −7.67194 + 1.10306i −0.398845 + 0.0573453i
\(371\) 5.19895 3.45121i 0.269916 0.179178i
\(372\) 10.3649 3.04341i 0.537394 0.157793i
\(373\) −11.3212 9.80988i −0.586190 0.507937i 0.310513 0.950569i \(-0.399499\pi\)
−0.896703 + 0.442633i \(0.854045\pi\)
\(374\) −0.204657 + 0.696998i −0.0105826 + 0.0360409i
\(375\) −3.97384 6.18342i −0.205208 0.319310i
\(376\) −0.620812 + 0.283515i −0.0320159 + 0.0146212i
\(377\) −2.27652 + 1.97261i −0.117247 + 0.101595i
\(378\) −0.599964 1.26378i −0.0308588 0.0650017i
\(379\) 12.5623 + 1.80619i 0.645283 + 0.0927777i 0.457184 0.889372i \(-0.348858\pi\)
0.188099 + 0.982150i \(0.439767\pi\)
\(380\) −0.0274643 + 0.191018i −0.00140889 + 0.00979904i
\(381\) 4.54949 7.07914i 0.233077 0.362675i
\(382\) −7.90195 + 6.84708i −0.404299 + 0.350327i
\(383\) −7.84662 17.1817i −0.400944 0.877944i −0.997174 0.0751306i \(-0.976063\pi\)
0.596230 0.802814i \(-0.296665\pi\)
\(384\) 6.21270 + 9.66715i 0.317041 + 0.493325i
\(385\) 12.9665 + 14.5231i 0.660835 + 0.740165i
\(386\) −4.13863 + 4.77624i −0.210651 + 0.243104i
\(387\) 2.77049 + 9.43542i 0.140832 + 0.479630i
\(388\) 0.151563 0.331876i 0.00769444 0.0168485i
\(389\) 31.8747 4.58288i 1.61611 0.232361i 0.725863 0.687840i \(-0.241441\pi\)
0.890247 + 0.455478i \(0.150532\pi\)
\(390\) 1.08632 0.0550082
\(391\) 1.37998 + 1.98184i 0.0697886 + 0.100226i
\(392\) −6.08952 12.3508i −0.307567 0.623807i
\(393\) −1.80221 12.5346i −0.0909092 0.632288i
\(394\) 1.99118 4.36008i 0.100314 0.219658i
\(395\) 0.311801 + 1.06190i 0.0156884 + 0.0534297i
\(396\) −3.54731 3.07376i −0.178259 0.154462i
\(397\) −9.88014 + 33.6487i −0.495870 + 1.68878i 0.207733 + 0.978186i \(0.433391\pi\)
−0.703603 + 0.710593i \(0.748427\pi\)
\(398\) −3.22347 + 2.07160i −0.161578 + 0.103840i
\(399\) −0.0140418 + 0.109133i −0.000702969 + 0.00546349i
\(400\) −3.57630 4.12727i −0.178815 0.206364i
\(401\) −14.2342 + 22.1488i −0.710821 + 1.10606i 0.278519 + 0.960431i \(0.410157\pi\)
−0.989339 + 0.145628i \(0.953480\pi\)
\(402\) 0.976677 6.79294i 0.0487122 0.338801i
\(403\) −0.680661 + 4.73410i −0.0339061 + 0.235822i
\(404\) 15.0301 23.3872i 0.747773 1.16356i
\(405\) −1.76629 2.03840i −0.0877675 0.101289i
\(406\) −5.48709 0.706005i −0.272320 0.0350385i
\(407\) −12.4737 + 8.01633i −0.618296 + 0.397355i
\(408\) 0.279081 0.950464i 0.0138166 0.0470550i
\(409\) 11.4268 + 9.90134i 0.565017 + 0.489590i 0.889895 0.456166i \(-0.150778\pi\)
−0.324878 + 0.945756i \(0.605323\pi\)
\(410\) −2.99469 10.1990i −0.147897 0.503691i
\(411\) −0.801538 + 1.75512i −0.0395370 + 0.0865739i
\(412\) −1.60995 11.1974i −0.0793164 0.551657i
\(413\) 15.6631 + 9.74076i 0.770728 + 0.479311i
\(414\) 2.49493 0.453610i 0.122619 0.0222937i
\(415\) −33.6260 −1.65063
\(416\) −3.92342 + 0.564103i −0.192362 + 0.0276574i
\(417\) 8.52034 18.6569i 0.417243 0.913634i
\(418\) −0.0169026 0.0575650i −0.000826733 0.00281559i
\(419\) −8.46895 + 9.77369i −0.413735 + 0.477476i −0.923918 0.382590i \(-0.875032\pi\)
0.510183 + 0.860066i \(0.329578\pi\)
\(420\) −8.17653 9.15809i −0.398974 0.446869i
\(421\) 10.5242 + 16.3759i 0.512917 + 0.798115i 0.997040 0.0768852i \(-0.0244975\pi\)
−0.484123 + 0.875000i \(0.660861\pi\)
\(422\) −3.89203 8.52237i −0.189461 0.414862i
\(423\) −0.262195 + 0.227193i −0.0127483 + 0.0110465i
\(424\) 2.50845 3.90322i 0.121821 0.189557i
\(425\) −0.163024 + 1.13385i −0.00790780 + 0.0550000i
\(426\) 1.41012 + 0.202745i 0.0683205 + 0.00982301i
\(427\) 24.9517 11.8455i 1.20750 0.573245i
\(428\) −2.50404 + 2.16977i −0.121038 + 0.104880i
\(429\) 1.89036 0.863297i 0.0912673 0.0416804i
\(430\) −7.58223 11.7982i −0.365648 0.568959i
\(431\) −5.83839 + 19.8837i −0.281225 + 0.957765i 0.690831 + 0.723016i \(0.257245\pi\)
−0.972056 + 0.234749i \(0.924573\pi\)
\(432\) 1.81430 + 1.57210i 0.0872905 + 0.0756376i
\(433\) 33.3745 9.79963i 1.60388 0.470940i 0.647254 0.762274i \(-0.275917\pi\)
0.956621 + 0.291334i \(0.0940991\pi\)
\(434\) −7.31835 + 4.85812i −0.351292 + 0.233197i
\(435\) −10.5577 + 1.51797i −0.506205 + 0.0727813i
\(436\) 10.7643i 0.515514i
\(437\) −0.184372 0.0760781i −0.00881969 0.00363931i
\(438\) −4.56169 −0.217966
\(439\) 29.8599 4.29321i 1.42514 0.204904i 0.613790 0.789469i \(-0.289644\pi\)
0.811347 + 0.584565i \(0.198735\pi\)
\(440\) 13.1678 + 6.01353i 0.627750 + 0.286684i
\(441\) −4.73896 5.15192i −0.225665 0.245330i
\(442\) 0.153275 + 0.132814i 0.00729055 + 0.00631730i
\(443\) 1.81632 + 0.533321i 0.0862962 + 0.0253388i 0.324596 0.945853i \(-0.394772\pi\)
−0.238299 + 0.971192i \(0.576590\pi\)
\(444\) 7.86575 5.05501i 0.373292 0.239900i
\(445\) 5.89033 + 12.8980i 0.279228 + 0.611425i
\(446\) −4.94487 + 4.28475i −0.234146 + 0.202889i
\(447\) 4.72351 + 3.03561i 0.223414 + 0.143580i
\(448\) 4.15086 + 3.49028i 0.196109 + 0.164900i
\(449\) 2.74453 19.0886i 0.129522 0.900847i −0.816639 0.577149i \(-0.804165\pi\)
0.946161 0.323697i \(-0.104926\pi\)
\(450\) 1.01190 + 0.650308i 0.0477014 + 0.0306558i
\(451\) −13.3162 15.3678i −0.627037 0.723640i
\(452\) −11.4369 + 5.22304i −0.537945 + 0.245671i
\(453\) −9.29492 14.4632i −0.436714 0.679540i
\(454\) 8.05053 + 2.36385i 0.377830 + 0.110941i
\(455\) 5.19218 1.60861i 0.243413 0.0754127i
\(456\) 0.0230493 + 0.0784987i 0.00107938 + 0.00367604i
\(457\) −2.88065 1.31555i −0.134751 0.0615388i 0.346898 0.937903i \(-0.387235\pi\)
−0.481650 + 0.876364i \(0.659962\pi\)
\(458\) −1.49648 10.4083i −0.0699260 0.486346i
\(459\) 0.503554i 0.0235039i
\(460\) 19.8867 9.98814i 0.927222 0.465699i
\(461\) 37.0377i 1.72502i −0.506042 0.862509i \(-0.668892\pi\)
0.506042 0.862509i \(-0.331108\pi\)
\(462\) 3.49497 + 1.53385i 0.162601 + 0.0713612i
\(463\) 8.81360 19.2991i 0.409603 0.896905i −0.586603 0.809875i \(-0.699535\pi\)
0.996206 0.0870304i \(-0.0277377\pi\)
\(464\) 9.10908 2.67467i 0.422879 0.124168i
\(465\) −11.0905 + 12.7991i −0.514309 + 0.593544i
\(466\) 4.76930 + 1.40039i 0.220933 + 0.0648719i
\(467\) 12.9449 8.31916i 0.599017 0.384965i −0.205707 0.978614i \(-0.565949\pi\)
0.804724 + 0.593649i \(0.202313\pi\)
\(468\) −1.19204 + 0.544386i −0.0551020 + 0.0251642i
\(469\) −5.39073 33.9137i −0.248921 1.56599i
\(470\) 0.267500 0.416238i 0.0123389 0.0191996i
\(471\) 10.9627 + 1.57620i 0.505134 + 0.0726273i
\(472\) 13.5747 + 1.95175i 0.624828 + 0.0898367i
\(473\) −22.5701 14.5049i −1.03778 0.666938i
\(474\) 0.142080 + 0.163969i 0.00652595 + 0.00753135i
\(475\) −0.0393015 0.0860583i −0.00180328 0.00394862i
\(476\) −0.0340040 2.29182i −0.00155857 0.105045i
\(477\) 0.664485 2.26303i 0.0304247 0.103617i
\(478\) 3.91037 4.51280i 0.178856 0.206411i
\(479\) −0.186140 + 0.0546556i −0.00850495 + 0.00249728i −0.285982 0.958235i \(-0.592320\pi\)
0.277477 + 0.960732i \(0.410502\pi\)
\(480\) −12.7672 5.83058i −0.582740 0.266128i
\(481\) 0.589143 + 4.09758i 0.0268626 + 0.186834i
\(482\) −12.1776 −0.554676
\(483\) 11.2530 5.86251i 0.512031 0.266754i
\(484\) −6.11874 −0.278124
\(485\) 0.0814028 + 0.566169i 0.00369631 + 0.0257084i
\(486\) −0.480975 0.219654i −0.0218175 0.00996370i
\(487\) 6.76326 1.98587i 0.306473 0.0899885i −0.124880 0.992172i \(-0.539855\pi\)
0.431353 + 0.902183i \(0.358036\pi\)
\(488\) 13.4488 15.5207i 0.608797 0.702589i
\(489\) −2.85634 + 9.72778i −0.129168 + 0.439906i
\(490\) 8.55477 + 5.14575i 0.386465 + 0.232461i
\(491\) −11.4662 25.1075i −0.517464 1.13309i −0.970391 0.241540i \(-0.922347\pi\)
0.452927 0.891548i \(-0.350380\pi\)
\(492\) 8.39707 + 9.69074i 0.378569 + 0.436892i
\(493\) −1.67523 1.07661i −0.0754486 0.0484879i
\(494\) −0.0165797 0.00238380i −0.000745957 0.000107252i
\(495\) 7.28377 + 1.04725i 0.327381 + 0.0470703i
\(496\) 8.14947 12.6808i 0.365922 0.569385i
\(497\) 7.04001 1.11904i 0.315788 0.0501959i
\(498\) −5.99632 + 2.73843i −0.268702 + 0.122712i
\(499\) 23.6198 15.1796i 1.05737 0.679530i 0.108147 0.994135i \(-0.465508\pi\)
0.949223 + 0.314605i \(0.101872\pi\)
\(500\) −12.1332 3.56264i −0.542615 0.159326i
\(501\) −1.68842 + 1.94854i −0.0754331 + 0.0870544i
\(502\) 12.6553 3.71592i 0.564833 0.165850i
\(503\) −2.02728 + 4.43913i −0.0903921 + 0.197931i −0.949428 0.313983i \(-0.898336\pi\)
0.859036 + 0.511915i \(0.171064\pi\)
\(504\) −4.76593 2.09164i −0.212291 0.0931691i
\(505\) 43.5844i 1.93948i
\(506\) −4.33383 + 5.39283i −0.192662 + 0.239740i
\(507\) 12.4198i 0.551582i
\(508\) −2.06033 14.3299i −0.0914124 0.635787i
\(509\) 11.0919 + 5.06552i 0.491642 + 0.224525i 0.645779 0.763524i \(-0.276533\pi\)
−0.154138 + 0.988049i \(0.549260\pi\)
\(510\) 0.202326 + 0.689059i 0.00895915 + 0.0305121i
\(511\) −21.8030 + 6.75485i −0.964507 + 0.298817i
\(512\) 21.0490 + 6.18054i 0.930243 + 0.273144i
\(513\) 0.0224844 + 0.0349864i 0.000992711 + 0.00154469i
\(514\) −14.0396 + 6.41167i −0.619260 + 0.282807i
\(515\) 11.6142 + 13.4035i 0.511782 + 0.590628i
\(516\) 14.2325 + 9.14665i 0.626549 + 0.402659i
\(517\) 0.134705 0.936894i 0.00592432 0.0412045i
\(518\) −4.89311 + 5.81920i −0.214991 + 0.255681i
\(519\) −12.0634 7.75267i −0.529524 0.340304i
\(520\) 3.05442 2.64667i 0.133945 0.116064i
\(521\) −6.52445 14.2866i −0.285842 0.625906i 0.711182 0.703008i \(-0.248160\pi\)
−0.997023 + 0.0771026i \(0.975433\pi\)
\(522\) −1.75908 + 1.13049i −0.0769928 + 0.0494803i
\(523\) −36.6206 10.7528i −1.60131 0.470187i −0.645399 0.763846i \(-0.723309\pi\)
−0.955910 + 0.293659i \(0.905127\pi\)
\(524\) −16.4651 14.2671i −0.719283 0.623262i
\(525\) 5.79943 + 1.60981i 0.253108 + 0.0702577i
\(526\) 13.1220 + 5.99260i 0.572145 + 0.261290i
\(527\) −3.12963 + 0.449972i −0.136329 + 0.0196011i
\(528\) −6.54965 −0.285037
\(529\) 4.94961 + 22.4611i 0.215200 + 0.976570i
\(530\) 3.36370i 0.146110i
\(531\) 6.90055 0.992149i 0.299458 0.0430556i
\(532\) 0.104696 + 0.157715i 0.00453913 + 0.00683782i
\(533\) −5.44726 + 1.59946i −0.235947 + 0.0692803i
\(534\) 2.10077 + 1.82033i 0.0909094 + 0.0787735i
\(535\) 1.46346 4.98408i 0.0632708 0.215480i
\(536\) −13.8039 21.4792i −0.596236 0.927762i
\(537\) −13.2970 + 6.07255i −0.573809 + 0.262050i
\(538\) −3.20658 + 2.77852i −0.138246 + 0.119791i
\(539\) 18.9758 + 2.15589i 0.817346 + 0.0928609i
\(540\) −4.59306 0.660383i −0.197654 0.0284184i
\(541\) −1.57899 + 10.9821i −0.0678863 + 0.472159i 0.927313 + 0.374287i \(0.122113\pi\)
−0.995199 + 0.0978719i \(0.968796\pi\)
\(542\) 2.41347 3.75544i 0.103667 0.161310i
\(543\) −11.3597 + 9.84321i −0.487490 + 0.422412i
\(544\) −1.08854 2.38358i −0.0466709 0.102195i
\(545\) 9.12371 + 14.1968i 0.390817 + 0.608123i
\(546\) 0.794890 0.709694i 0.0340181 0.0303721i
\(547\) 11.2076 12.9342i 0.479202 0.553028i −0.463746 0.885968i \(-0.653495\pi\)
0.942948 + 0.332940i \(0.108041\pi\)
\(548\) 0.935217 + 3.18506i 0.0399505 + 0.136059i
\(549\) 4.33678 9.49623i 0.185089 0.405289i
\(550\) −3.24829 + 0.467033i −0.138507 + 0.0199144i
\(551\) 0.164465 0.00700646
\(552\) 5.90985 7.35395i 0.251540 0.313005i
\(553\) 0.921886 + 0.573315i 0.0392026 + 0.0243798i
\(554\) −1.62998 11.3368i −0.0692514 0.481654i
\(555\) −6.08939 + 13.3339i −0.258480 + 0.565993i
\(556\) −9.94134 33.8571i −0.421607 1.43586i
\(557\) 27.1432 + 23.5197i 1.15009 + 0.996561i 0.999969 + 0.00789362i \(0.00251264\pi\)
0.150124 + 0.988667i \(0.452033\pi\)
\(558\) −0.935369 + 3.18557i −0.0395973 + 0.134856i
\(559\) −6.30141 + 4.04967i −0.266521 + 0.171283i
\(560\) −16.9913 2.18621i −0.718014 0.0923844i
\(561\) 0.899668 + 1.03827i 0.0379840 + 0.0438359i
\(562\) −6.08655 + 9.47086i −0.256746 + 0.399504i
\(563\) −4.20154 + 29.2223i −0.177074 + 1.23157i 0.686416 + 0.727209i \(0.259183\pi\)
−0.863490 + 0.504366i \(0.831726\pi\)
\(564\) −0.0849434 + 0.590794i −0.00357676 + 0.0248769i
\(565\) 10.6569 16.5824i 0.448337 0.697626i
\(566\) −7.07986 8.17059i −0.297589 0.343435i
\(567\) −2.62412 0.337637i −0.110203 0.0141794i
\(568\) 4.45879 2.86549i 0.187087 0.120233i
\(569\) −7.01952 + 23.9063i −0.294273 + 1.00220i 0.671108 + 0.741360i \(0.265819\pi\)
−0.965381 + 0.260843i \(0.915999\pi\)
\(570\) −0.0448249 0.0388410i −0.00187751 0.00162687i
\(571\) −8.68031 29.5624i −0.363260 1.23715i −0.915109 0.403206i \(-0.867896\pi\)
0.551850 0.833944i \(-0.313922\pi\)
\(572\) 1.48523 3.25220i 0.0621006 0.135981i
\(573\) 2.81417 + 19.5730i 0.117564 + 0.817673i
\(574\) −8.85424 5.50640i −0.369569 0.229833i
\(575\) −5.55430 + 9.39011i −0.231630 + 0.391595i
\(576\) 2.04980 0.0854082
\(577\) 10.6978 1.53812i 0.445357 0.0640326i 0.0840116 0.996465i \(-0.473227\pi\)
0.361345 + 0.932432i \(0.382318\pi\)
\(578\) 3.67842 8.05461i 0.153002 0.335028i
\(579\) 3.36735 + 11.4681i 0.139942 + 0.476600i
\(580\) −12.0170 + 13.8684i −0.498979 + 0.575853i
\(581\) −24.6049 + 21.9678i −1.02078 + 0.911377i
\(582\) 0.0606237 + 0.0943323i 0.00251293 + 0.00391020i
\(583\) 2.67312 + 5.85331i 0.110709 + 0.242419i
\(584\) −12.8261 + 11.1139i −0.530748 + 0.459896i
\(585\) 1.11074 1.72834i 0.0459234 0.0714582i
\(586\) 0.234463 1.63072i 0.00968556 0.0673645i
\(587\) 27.5957 + 3.96767i 1.13900 + 0.163763i 0.685899 0.727697i \(-0.259409\pi\)
0.453099 + 0.891460i \(0.350318\pi\)
\(588\) −11.9659 1.35948i −0.493467 0.0560641i
\(589\) 0.197351 0.171006i 0.00813172 0.00704618i
\(590\) −9.04401 + 4.13026i −0.372336 + 0.170040i
\(591\) −4.90096 7.62604i −0.201598 0.313693i
\(592\) 3.67576 12.5185i 0.151073 0.514507i
\(593\) 17.4341 + 15.1068i 0.715934 + 0.620360i 0.934709 0.355415i \(-0.115661\pi\)
−0.218775 + 0.975775i \(0.570206\pi\)
\(594\) 1.38416 0.406425i 0.0567927 0.0166758i
\(595\) 1.98738 + 2.99382i 0.0814746 + 0.122735i
\(596\) 9.56154 1.37474i 0.391656 0.0563116i
\(597\) 7.24669i 0.296587i
\(598\) 0.866935 + 1.72609i 0.0354516 + 0.0705853i
\(599\) −37.9170 −1.54925 −0.774624 0.632422i \(-0.782061\pi\)
−0.774624 + 0.632422i \(0.782061\pi\)
\(600\) 4.42954 0.636872i 0.180835 0.0260002i
\(601\) −27.4713 12.5457i −1.12058 0.511750i −0.233031 0.972469i \(-0.574864\pi\)
−0.887546 + 0.460719i \(0.847592\pi\)
\(602\) −13.2558 3.67956i −0.540267 0.149967i
\(603\) −9.80894 8.49950i −0.399451 0.346126i
\(604\) −28.3800 8.33312i −1.15477 0.339070i
\(605\) 8.06989 5.18620i 0.328088 0.210849i
\(606\) 3.54942 + 7.77214i 0.144185 + 0.315722i
\(607\) −25.7715 + 22.3311i −1.04603 + 0.906391i −0.995727 0.0923428i \(-0.970564\pi\)
−0.0503039 + 0.998734i \(0.516019\pi\)
\(608\) 0.182061 + 0.117004i 0.00738355 + 0.00474512i
\(609\) −6.73366 + 8.00809i −0.272862 + 0.324504i
\(610\) −2.11887 + 14.7371i −0.0857905 + 0.596686i
\(611\) −0.222313 0.142872i −0.00899381 0.00577997i
\(612\) −0.567320 0.654723i −0.0229326 0.0264656i
\(613\) −7.81072 + 3.56703i −0.315472 + 0.144071i −0.566858 0.823816i \(-0.691841\pi\)
0.251386 + 0.967887i \(0.419114\pi\)
\(614\) 2.86803 + 4.46274i 0.115744 + 0.180102i
\(615\) −19.2885 5.66363i −0.777789 0.228380i
\(616\) 13.5638 4.20225i 0.546502 0.169314i
\(617\) −3.44938 11.7475i −0.138867 0.472936i 0.860464 0.509511i \(-0.170174\pi\)
−0.999331 + 0.0365745i \(0.988355\pi\)
\(618\) 3.16264 + 1.44433i 0.127220 + 0.0580995i
\(619\) −2.41698 16.8105i −0.0971467 0.675670i −0.978957 0.204066i \(-0.934584\pi\)
0.881810 0.471604i \(-0.156325\pi\)
\(620\) 29.1363i 1.17014i
\(621\) 1.82931 4.43324i 0.0734076 0.177900i
\(622\) 14.1231i 0.566285i
\(623\) 12.7363 + 5.58965i 0.510271 + 0.223945i
\(624\) −0.759633 + 1.66337i −0.0304097 + 0.0665879i
\(625\) 29.9355 8.78986i 1.19742 0.351594i
\(626\) −4.11055 + 4.74383i −0.164291 + 0.189602i
\(627\) −0.108868 0.0319666i −0.00434778 0.00127662i
\(628\) 16.0295 10.3016i 0.639648 0.411077i
\(629\) −2.48938 + 1.13686i −0.0992581 + 0.0453297i
\(630\) 3.72648 0.592341i 0.148467 0.0235994i
\(631\) 17.8277 27.7405i 0.709711 1.10433i −0.279826 0.960051i \(-0.590277\pi\)
0.989537 0.144281i \(-0.0460868\pi\)
\(632\) 0.798973 + 0.114875i 0.0317815 + 0.00456948i
\(633\) −17.5386 2.52167i −0.697097 0.100227i
\(634\) 12.2861 + 7.89579i 0.487943 + 0.313582i
\(635\) 14.8633 + 17.1531i 0.589831 + 0.680702i
\(636\) −1.68564 3.69103i −0.0668399 0.146359i
\(637\) 2.74834 4.56910i 0.108893 0.181034i
\(638\) 1.60725 5.47378i 0.0636315 0.216709i
\(639\) 1.76438 2.03620i 0.0697977 0.0805508i
\(640\) −29.7390 + 8.73215i −1.17554 + 0.345168i
\(641\) 15.9478 + 7.28311i 0.629900 + 0.287666i 0.704670 0.709535i \(-0.251095\pi\)
−0.0747703 + 0.997201i \(0.523822\pi\)
\(642\) −0.144923 1.00796i −0.00571965 0.0397811i
\(643\) −21.4941 −0.847645 −0.423822 0.905745i \(-0.639312\pi\)
−0.423822 + 0.905745i \(0.639312\pi\)
\(644\) 8.02634 20.3005i 0.316282 0.799952i
\(645\) −26.5236 −1.04436
\(646\) −0.00157589 0.0109605i −6.20025e−5 0.000431237i
\(647\) −19.0876 8.71703i −0.750412 0.342702i 0.00322288 0.999995i \(-0.498974\pi\)
−0.753635 + 0.657293i \(0.771701\pi\)
\(648\) −1.88751 + 0.554223i −0.0741485 + 0.0217720i
\(649\) −12.4556 + 14.3745i −0.488923 + 0.564247i
\(650\) −0.258130 + 0.879110i −0.0101247 + 0.0344815i
\(651\) 0.246456 + 16.6108i 0.00965939 + 0.651029i
\(652\) 7.24582 + 15.8661i 0.283768 + 0.621366i
\(653\) −0.920325 1.06211i −0.0360151 0.0415637i 0.737456 0.675395i \(-0.236027\pi\)
−0.773471 + 0.633831i \(0.781481\pi\)
\(654\) 2.78313 + 1.78861i 0.108829 + 0.0699402i
\(655\) 33.8083 + 4.86090i 1.32100 + 0.189931i
\(656\) 17.7106 + 2.54640i 0.691483 + 0.0994202i
\(657\) −4.66421 + 7.25765i −0.181968 + 0.283148i
\(658\) −0.0761914 0.479328i −0.00297025 0.0186862i
\(659\) 42.2829 19.3100i 1.64711 0.752210i 0.647161 0.762354i \(-0.275956\pi\)
0.999949 + 0.0101439i \(0.00322895\pi\)
\(660\) 10.6502 6.84450i 0.414560 0.266422i
\(661\) −35.5521 10.4390i −1.38282 0.406032i −0.496069 0.868283i \(-0.665224\pi\)
−0.886749 + 0.462251i \(0.847042\pi\)
\(662\) 10.1128 11.6708i 0.393044 0.453597i
\(663\) 0.368026 0.108062i 0.0142930 0.00419679i
\(664\) −10.1881 + 22.3088i −0.395375 + 0.865750i
\(665\) −0.271760 0.119268i −0.0105384 0.00462502i
\(666\) 2.87366i 0.111352i
\(667\) −10.8375 15.5641i −0.419629 0.602645i
\(668\) 4.43573i 0.171624i
\(669\) 1.76105 + 12.2483i 0.0680860 + 0.473548i
\(670\) 16.8375 + 7.68945i 0.650491 + 0.297069i
\(671\) 8.02435 + 27.3284i 0.309777 + 1.05500i
\(672\) −13.1512 + 4.07441i −0.507317 + 0.157174i
\(673\) 19.1476 + 5.62224i 0.738086 + 0.216722i 0.629103 0.777322i \(-0.283422\pi\)
0.108983 + 0.994044i \(0.465241\pi\)
\(674\) 3.04440 + 4.73717i 0.117266 + 0.182469i
\(675\) 2.06928 0.945010i 0.0796467 0.0363734i
\(676\) 13.9925 + 16.1483i 0.538175 + 0.621087i
\(677\) 13.5826 + 8.72899i 0.522020 + 0.335482i 0.774971 0.631997i \(-0.217765\pi\)
−0.252950 + 0.967479i \(0.581401\pi\)
\(678\) 0.549939 3.82491i 0.0211203 0.146895i
\(679\) 0.429442 + 0.361099i 0.0164805 + 0.0138577i
\(680\) 2.24767 + 1.44449i 0.0861943 + 0.0553937i
\(681\) 11.9924 10.3914i 0.459548 0.398201i
\(682\) −3.76284 8.23946i −0.144086 0.315505i
\(683\) −38.4288 + 24.6967i −1.47044 + 0.944992i −0.472463 + 0.881351i \(0.656635\pi\)
−0.997973 + 0.0636412i \(0.979729\pi\)
\(684\) 0.0686512 + 0.0201578i 0.00262494 + 0.000770753i
\(685\) −3.93307 3.40803i −0.150275 0.130214i
\(686\) 9.62144 1.82355i 0.367348 0.0696233i
\(687\) −18.0897 8.26128i −0.690164 0.315187i
\(688\) 23.3672 3.35970i 0.890868 0.128087i
\(689\) 1.79655 0.0684431
\(690\) −0.721950 + 6.80142i −0.0274842 + 0.258926i
\(691\) 6.78201i 0.258000i 0.991645 + 0.129000i \(0.0411767\pi\)
−0.991645 + 0.129000i \(0.958823\pi\)
\(692\) −24.4193 + 3.51096i −0.928281 + 0.133467i
\(693\) 6.01387 3.99218i 0.228448 0.151650i
\(694\) 6.60043 1.93806i 0.250549 0.0735678i
\(695\) 41.8085 + 36.2273i 1.58589 + 1.37418i
\(696\) −2.19173 + 7.46434i −0.0830773 + 0.282935i
\(697\) −2.02909 3.15732i −0.0768571 0.119592i
\(698\) −15.3329 + 7.00232i −0.580360 + 0.265042i
\(699\) 7.10451 6.15609i 0.268717 0.232845i
\(700\) 9.35409 4.44075i 0.353552 0.167845i
\(701\) −10.5598 1.51828i −0.398840 0.0573445i −0.0600232 0.998197i \(-0.519117\pi\)
−0.338816 + 0.940853i \(0.610027\pi\)
\(702\) 0.0573189 0.398661i 0.00216336 0.0150465i
\(703\) 0.122197 0.190143i 0.00460875 0.00717136i
\(704\) −4.22645 + 3.66224i −0.159290 + 0.138026i
\(705\) −0.388723 0.851185i −0.0146402 0.0320575i
\(706\) −7.64403 11.8943i −0.287687 0.447650i
\(707\) 28.4736 + 31.8917i 1.07086 + 1.19941i
\(708\) 7.85433 9.06438i 0.295184 0.340660i
\(709\) −7.82053 26.6343i −0.293706 1.00027i −0.965688 0.259704i \(-0.916375\pi\)
0.671982 0.740568i \(-0.265443\pi\)
\(710\) −1.59622 + 3.49524i −0.0599052 + 0.131174i
\(711\) 0.406148 0.0583953i 0.0152317 0.00218999i
\(712\) 10.3417 0.387573
\(713\) −29.1876 7.40777i −1.09308 0.277423i
\(714\) 0.598208 + 0.372022i 0.0223874 + 0.0139226i
\(715\) 0.797702 + 5.54814i 0.0298324 + 0.207489i
\(716\) −10.4473 + 22.8764i −0.390434 + 0.854932i
\(717\) −3.18163 10.8356i −0.118820 0.404664i
\(718\) 7.48924 + 6.48946i 0.279496 + 0.242185i
\(719\) −0.499350 + 1.70063i −0.0186226 + 0.0634228i −0.968280 0.249867i \(-0.919613\pi\)
0.949657 + 0.313290i \(0.101431\pi\)
\(720\) −5.44716 + 3.50068i −0.203004 + 0.130463i
\(721\) 17.2549 + 2.22013i 0.642604 + 0.0826818i
\(722\) −6.57839 7.59186i −0.244822 0.282540i
\(723\) −12.4513 + 19.3746i −0.463070 + 0.720550i
\(724\) −3.68020 + 25.5963i −0.136773 + 0.951280i
\(725\) 1.28028 8.90457i 0.0475485 0.330707i
\(726\) 1.01670 1.58202i 0.0377334 0.0587143i
\(727\) −2.70173 3.11796i −0.100202 0.115639i 0.703434 0.710761i \(-0.251649\pi\)
−0.803635 + 0.595122i \(0.797104\pi\)
\(728\) 0.505928 3.93208i 0.0187509 0.145733i
\(729\) −0.841254 + 0.540641i −0.0311575 + 0.0200237i
\(730\) 3.46637 11.8054i 0.128296 0.436936i
\(731\) −3.74234 3.24276i −0.138416 0.119938i
\(732\) −5.06006 17.2330i −0.187025 0.636950i
\(733\) 17.2038 37.6711i 0.635438 1.39141i −0.268303 0.963335i \(-0.586463\pi\)
0.903741 0.428080i \(-0.140810\pi\)
\(734\) −0.370117 2.57422i −0.0136613 0.0950163i
\(735\) 16.9339 8.34925i 0.624617 0.307967i
\(736\) −0.924389 24.9392i −0.0340734 0.919273i
\(737\) 35.4105 1.30436
\(738\) −3.90085 + 0.560857i −0.143592 + 0.0206454i
\(739\) 3.27295 7.16676i 0.120397 0.263633i −0.839832 0.542847i \(-0.817346\pi\)
0.960229 + 0.279213i \(0.0900737\pi\)
\(740\) 7.10497 + 24.1973i 0.261184 + 0.889511i
\(741\) −0.0207450 + 0.0239410i −0.000762085 + 0.000879493i
\(742\) 2.19750 + 2.46130i 0.0806727 + 0.0903571i
\(743\) −9.26924 14.4232i −0.340056 0.529137i 0.628540 0.777777i \(-0.283653\pi\)
−0.968596 + 0.248640i \(0.920016\pi\)
\(744\) 5.13121 + 11.2358i 0.188119 + 0.411923i
\(745\) −11.4453 + 9.91743i −0.419324 + 0.363346i
\(746\) 4.28233 6.66344i 0.156787 0.243966i
\(747\) −1.77424 + 12.3401i −0.0649161 + 0.451502i
\(748\) 2.33950 + 0.336370i 0.0855407 + 0.0122989i
\(749\) −2.18524 4.60304i −0.0798470 0.168191i
\(750\) 2.93722 2.54511i 0.107252 0.0929343i
\(751\) −36.3781 + 16.6133i −1.32746 + 0.606229i −0.947790 0.318895i \(-0.896688\pi\)
−0.379666 + 0.925124i \(0.623961\pi\)
\(752\) 0.450283 + 0.700655i 0.0164201 + 0.0255502i
\(753\) 7.02765 23.9340i 0.256102 0.872203i
\(754\) −1.20372 1.04303i −0.0438371 0.0379850i
\(755\) 44.4929 13.0643i 1.61926 0.475459i
\(756\) −3.79228 + 2.51742i −0.137924 + 0.0915577i
\(757\) 27.1553 3.90435i 0.986977 0.141906i 0.370123 0.928983i \(-0.379316\pi\)
0.616855 + 0.787077i \(0.288407\pi\)
\(758\) 6.71072i 0.243744i
\(759\) 4.14876 + 12.4092i 0.150591 + 0.450424i
\(760\) −0.220665 −0.00800435
\(761\) −26.1465 + 3.75930i −0.947811 + 0.136275i −0.598849 0.800862i \(-0.704375\pi\)
−0.348962 + 0.937137i \(0.613466\pi\)
\(762\) 4.04740 + 1.84838i 0.146622 + 0.0669599i
\(763\) 15.9508 + 4.42761i 0.577456 + 0.160290i
\(764\) 25.7105 + 22.2783i 0.930175 + 0.806001i
\(765\) 1.30317 + 0.382644i 0.0471161 + 0.0138345i
\(766\) 8.40202 5.39965i 0.303577 0.195097i
\(767\) 2.20597 + 4.83040i 0.0796530 + 0.174416i
\(768\) −1.49378 + 1.29437i −0.0539021 + 0.0467065i
\(769\) 33.6695 + 21.6381i 1.21415 + 0.780289i 0.981349 0.192234i \(-0.0615734\pi\)
0.232805 + 0.972524i \(0.425210\pi\)
\(770\) −6.62530 + 7.87921i −0.238759 + 0.283947i
\(771\) −4.15415 + 28.8928i −0.149608 + 1.04055i
\(772\) 17.2986 + 11.1172i 0.622591 + 0.400115i
\(773\) −11.3933 13.1486i −0.409789 0.472921i 0.512911 0.858442i \(-0.328567\pi\)
−0.922699 + 0.385521i \(0.874022\pi\)