Properties

Label 370.2.v.b.289.1
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.1
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.1

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.06706 + 2.93174i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.98508 - 1.02929i) q^{5} +3.11989i q^{6} +(-4.22864 + 0.745624i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-5.15832 - 4.32834i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(-1.06706 + 2.93174i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.98508 - 1.02929i) q^{5} +3.11989i q^{6} +(-4.22864 + 0.745624i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-5.15832 - 4.32834i) q^{9} +(-2.21741 - 0.288281i) q^{10} +(1.53583 - 2.66013i) q^{11} +(1.06706 + 2.93174i) q^{12} +(-1.79913 + 1.50965i) q^{13} +(-3.71861 + 2.14694i) q^{14} +(5.13583 - 4.72142i) q^{15} +(0.173648 - 0.984808i) q^{16} +(-0.650675 - 0.545981i) q^{17} +(-6.32761 - 2.30306i) q^{18} +(-1.67595 + 4.60463i) q^{19} +(-2.18228 + 0.487502i) q^{20} +(2.32626 - 13.1929i) q^{21} +(0.533387 - 3.02499i) q^{22} +(2.03182 + 3.51921i) q^{23} +(2.00543 + 2.38997i) q^{24} +(2.88111 + 4.08647i) q^{25} +(-1.17430 + 2.03394i) q^{26} +(10.0881 - 5.82437i) q^{27} +(-2.76005 + 3.28930i) q^{28} +(-5.82054 - 3.36049i) q^{29} +(3.21128 - 6.19324i) q^{30} +1.08237i q^{31} +(-0.173648 - 0.984808i) q^{32} +(6.15997 + 7.34117i) q^{33} +(-0.798171 - 0.290511i) q^{34} +(9.16168 + 2.87239i) q^{35} -6.73370 q^{36} +(-5.56641 + 2.45256i) q^{37} +4.90014i q^{38} +(-2.50610 - 6.88545i) q^{39} +(-1.88394 + 1.20449i) q^{40} +(-9.54326 + 8.00775i) q^{41} +(-2.32626 - 13.1929i) q^{42} -4.64976 q^{43} +(-0.533387 - 3.02499i) q^{44} +(5.78455 + 13.9015i) q^{45} +(3.11293 + 2.61206i) q^{46} +(0.254210 - 0.146768i) q^{47} +(2.70190 + 1.55994i) q^{48} +(10.7476 - 3.91182i) q^{49} +(4.10501 + 2.85463i) q^{50} +(2.29499 - 1.32501i) q^{51} +(-0.407829 + 2.31291i) q^{52} +(-3.92105 - 0.691388i) q^{53} +(7.48767 - 8.92345i) q^{54} +(-5.78680 + 3.69976i) q^{55} +(-1.46859 + 4.03493i) q^{56} +(-11.7112 - 9.82687i) q^{57} +(-6.61888 - 1.16709i) q^{58} +(11.5194 + 2.03118i) q^{59} +(0.899406 - 6.91806i) q^{60} +(-0.829028 - 0.987998i) q^{61} +(0.370192 + 1.01709i) q^{62} +(25.0400 + 14.4569i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(5.12528 - 1.14494i) q^{65} +(8.29930 + 4.79161i) q^{66} +(6.59551 - 1.16297i) q^{67} -0.849396 q^{68} +(-12.4855 + 2.20153i) q^{69} +(9.59158 - 0.434313i) q^{70} +(12.1478 + 4.42144i) q^{71} +(-6.32761 + 2.30306i) q^{72} -13.9817i q^{73} +(-4.39189 + 4.20848i) q^{74} +(-15.0548 + 4.08613i) q^{75} +(1.67595 + 4.60463i) q^{76} +(-4.51101 + 12.3939i) q^{77} +(-4.70993 - 5.61307i) q^{78} +(-7.28405 + 1.28437i) q^{79} +(-1.35836 + 1.77619i) q^{80} +(2.80297 + 15.8964i) q^{81} +(-6.22892 + 10.7888i) q^{82} +(-6.19433 + 7.38212i) q^{83} +(-6.69821 - 11.6016i) q^{84} +(0.729669 + 1.75355i) q^{85} +(-4.36935 + 1.59031i) q^{86} +(16.0630 - 13.4784i) q^{87} +(-1.53583 - 2.66013i) q^{88} +(11.8301 + 2.08597i) q^{89} +(10.1903 + 11.0847i) q^{90} +(6.48224 - 7.72523i) q^{91} +(3.81857 + 1.38985i) q^{92} +(-3.17322 - 1.15496i) q^{93} +(0.188681 - 0.224862i) q^{94} +(8.06641 - 7.41553i) q^{95} +(3.07249 + 0.541763i) q^{96} +(-2.11350 - 3.66068i) q^{97} +(8.76155 - 7.35181i) q^{98} +(-19.4362 + 7.07421i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) −1.06706 + 2.93174i −0.616070 + 1.69264i 0.100335 + 0.994954i \(0.468009\pi\)
−0.716405 + 0.697685i \(0.754214\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −1.98508 1.02929i −0.887756 0.460314i
\(6\) 3.11989i 1.27369i
\(7\) −4.22864 + 0.745624i −1.59828 + 0.281819i −0.900618 0.434611i \(-0.856886\pi\)
−0.697659 + 0.716430i \(0.745775\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −5.15832 4.32834i −1.71944 1.44278i
\(10\) −2.21741 0.288281i −0.701206 0.0911626i
\(11\) 1.53583 2.66013i 0.463069 0.802059i −0.536043 0.844191i \(-0.680082\pi\)
0.999112 + 0.0421316i \(0.0134149\pi\)
\(12\) 1.06706 + 2.93174i 0.308035 + 0.846319i
\(13\) −1.79913 + 1.50965i −0.498988 + 0.418701i −0.857234 0.514927i \(-0.827819\pi\)
0.358246 + 0.933627i \(0.383375\pi\)
\(14\) −3.71861 + 2.14694i −0.993840 + 0.573794i
\(15\) 5.13583 4.72142i 1.32607 1.21906i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) −0.650675 0.545981i −0.157812 0.132420i 0.560463 0.828180i \(-0.310623\pi\)
−0.718275 + 0.695760i \(0.755068\pi\)
\(18\) −6.32761 2.30306i −1.49143 0.542837i
\(19\) −1.67595 + 4.60463i −0.384489 + 1.05637i 0.584956 + 0.811065i \(0.301112\pi\)
−0.969445 + 0.245309i \(0.921111\pi\)
\(20\) −2.18228 + 0.487502i −0.487972 + 0.109009i
\(21\) 2.32626 13.1929i 0.507632 2.87893i
\(22\) 0.533387 3.02499i 0.113718 0.644929i
\(23\) 2.03182 + 3.51921i 0.423664 + 0.733807i 0.996295 0.0860065i \(-0.0274106\pi\)
−0.572631 + 0.819813i \(0.694077\pi\)
\(24\) 2.00543 + 2.38997i 0.409356 + 0.487851i
\(25\) 2.88111 + 4.08647i 0.576222 + 0.817293i
\(26\) −1.17430 + 2.03394i −0.230298 + 0.398889i
\(27\) 10.0881 5.82437i 1.94146 1.12090i
\(28\) −2.76005 + 3.28930i −0.521601 + 0.621620i
\(29\) −5.82054 3.36049i −1.08085 0.624028i −0.149723 0.988728i \(-0.547838\pi\)
−0.931125 + 0.364701i \(0.881171\pi\)
\(30\) 3.21128 6.19324i 0.586297 1.13073i
\(31\) 1.08237i 0.194399i 0.995265 + 0.0971995i \(0.0309885\pi\)
−0.995265 + 0.0971995i \(0.969012\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) 6.15997 + 7.34117i 1.07231 + 1.27793i
\(34\) −0.798171 0.290511i −0.136885 0.0498221i
\(35\) 9.16168 + 2.87239i 1.54861 + 0.485523i
\(36\) −6.73370 −1.12228
\(37\) −5.56641 + 2.45256i −0.915112 + 0.403199i
\(38\) 4.90014i 0.794908i
\(39\) −2.50610 6.88545i −0.401297 1.10256i
\(40\) −1.88394 + 1.20449i −0.297876 + 0.190446i
\(41\) −9.54326 + 8.00775i −1.49041 + 1.25060i −0.596288 + 0.802771i \(0.703358\pi\)
−0.894119 + 0.447829i \(0.852197\pi\)
\(42\) −2.32626 13.1929i −0.358950 2.03571i
\(43\) −4.64976 −0.709082 −0.354541 0.935040i \(-0.615363\pi\)
−0.354541 + 0.935040i \(0.615363\pi\)
\(44\) −0.533387 3.02499i −0.0804111 0.456034i
\(45\) 5.78455 + 13.9015i 0.862310 + 2.07232i
\(46\) 3.11293 + 2.61206i 0.458976 + 0.385127i
\(47\) 0.254210 0.146768i 0.0370803 0.0214083i −0.481345 0.876531i \(-0.659852\pi\)
0.518426 + 0.855123i \(0.326518\pi\)
\(48\) 2.70190 + 1.55994i 0.389986 + 0.225159i
\(49\) 10.7476 3.91182i 1.53538 0.558831i
\(50\) 4.10501 + 2.85463i 0.580536 + 0.403705i
\(51\) 2.29499 1.32501i 0.321362 0.185539i
\(52\) −0.407829 + 2.31291i −0.0565557 + 0.320743i
\(53\) −3.92105 0.691388i −0.538598 0.0949694i −0.102269 0.994757i \(-0.532610\pi\)
−0.436329 + 0.899787i \(0.643722\pi\)
\(54\) 7.48767 8.92345i 1.01894 1.21433i
\(55\) −5.78680 + 3.69976i −0.780291 + 0.498876i
\(56\) −1.46859 + 4.03493i −0.196249 + 0.539190i
\(57\) −11.7112 9.82687i −1.55119 1.30160i
\(58\) −6.61888 1.16709i −0.869101 0.153246i
\(59\) 11.5194 + 2.03118i 1.49970 + 0.264437i 0.862419 0.506195i \(-0.168948\pi\)
0.637280 + 0.770632i \(0.280059\pi\)
\(60\) 0.899406 6.91806i 0.116113 0.893118i
\(61\) −0.829028 0.987998i −0.106146 0.126500i 0.710356 0.703843i \(-0.248534\pi\)
−0.816502 + 0.577343i \(0.804090\pi\)
\(62\) 0.370192 + 1.01709i 0.0470144 + 0.129171i
\(63\) 25.0400 + 14.4569i 3.15474 + 1.82139i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 5.12528 1.14494i 0.635713 0.142013i
\(66\) 8.29930 + 4.79161i 1.02157 + 0.589806i
\(67\) 6.59551 1.16297i 0.805770 0.142079i 0.244433 0.969666i \(-0.421398\pi\)
0.561337 + 0.827587i \(0.310287\pi\)
\(68\) −0.849396 −0.103004
\(69\) −12.4855 + 2.20153i −1.50308 + 0.265033i
\(70\) 9.59158 0.434313i 1.14641 0.0519103i
\(71\) 12.1478 + 4.42144i 1.44168 + 0.524729i 0.940255 0.340472i \(-0.110587\pi\)
0.501426 + 0.865201i \(0.332809\pi\)
\(72\) −6.32761 + 2.30306i −0.745716 + 0.271419i
\(73\) 13.9817i 1.63644i −0.574906 0.818219i \(-0.694961\pi\)
0.574906 0.818219i \(-0.305039\pi\)
\(74\) −4.39189 + 4.20848i −0.510547 + 0.489226i
\(75\) −15.0548 + 4.08613i −1.73838 + 0.471825i
\(76\) 1.67595 + 4.60463i 0.192244 + 0.528187i
\(77\) −4.51101 + 12.3939i −0.514077 + 1.41241i
\(78\) −4.70993 5.61307i −0.533294 0.635555i
\(79\) −7.28405 + 1.28437i −0.819520 + 0.144503i −0.567663 0.823261i \(-0.692152\pi\)
−0.251857 + 0.967764i \(0.581041\pi\)
\(80\) −1.35836 + 1.77619i −0.151870 + 0.198584i
\(81\) 2.80297 + 15.8964i 0.311441 + 1.76627i
\(82\) −6.22892 + 10.7888i −0.687869 + 1.19142i
\(83\) −6.19433 + 7.38212i −0.679916 + 0.810293i −0.990097 0.140385i \(-0.955166\pi\)
0.310181 + 0.950678i \(0.399610\pi\)
\(84\) −6.69821 11.6016i −0.730835 1.26584i
\(85\) 0.729669 + 1.75355i 0.0791437 + 0.190200i
\(86\) −4.36935 + 1.59031i −0.471159 + 0.171488i
\(87\) 16.0630 13.4784i 1.72213 1.44504i
\(88\) −1.53583 2.66013i −0.163720 0.283571i
\(89\) 11.8301 + 2.08597i 1.25399 + 0.221112i 0.760902 0.648867i \(-0.224757\pi\)
0.493088 + 0.869979i \(0.335868\pi\)
\(90\) 10.1903 + 11.0847i 1.07415 + 1.16843i
\(91\) 6.48224 7.72523i 0.679523 0.809824i
\(92\) 3.81857 + 1.38985i 0.398113 + 0.144901i
\(93\) −3.17322 1.15496i −0.329047 0.119763i
\(94\) 0.188681 0.224862i 0.0194610 0.0231927i
\(95\) 8.06641 7.41553i 0.827596 0.760817i
\(96\) 3.07249 + 0.541763i 0.313585 + 0.0552934i
\(97\) −2.11350 3.66068i −0.214593 0.371686i 0.738554 0.674195i \(-0.235509\pi\)
−0.953147 + 0.302509i \(0.902176\pi\)
\(98\) 8.76155 7.35181i 0.885050 0.742645i
\(99\) −19.4362 + 7.07421i −1.95341 + 0.710984i
\(100\) 4.83379 + 1.27847i 0.483379 + 0.127847i
\(101\) 3.67967 + 6.37337i 0.366141 + 0.634174i 0.988958 0.148193i \(-0.0473456\pi\)
−0.622818 + 0.782367i \(0.714012\pi\)
\(102\) 1.70340 2.03003i 0.168662 0.201003i
\(103\) 3.27891 5.67924i 0.323081 0.559592i −0.658041 0.752982i \(-0.728615\pi\)
0.981122 + 0.193390i \(0.0619482\pi\)
\(104\) 0.407829 + 2.31291i 0.0399909 + 0.226800i
\(105\) −18.1972 + 23.7946i −1.77586 + 2.32211i
\(106\) −3.92105 + 0.691388i −0.380846 + 0.0671535i
\(107\) −8.37130 9.97653i −0.809284 0.964468i 0.190568 0.981674i \(-0.438967\pi\)
−0.999852 + 0.0172065i \(0.994523\pi\)
\(108\) 3.98410 10.9462i 0.383371 1.05330i
\(109\) −3.72200 10.2261i −0.356503 0.979483i −0.980234 0.197844i \(-0.936606\pi\)
0.623731 0.781639i \(-0.285616\pi\)
\(110\) −4.17242 + 5.45584i −0.397824 + 0.520194i
\(111\) −1.25055 18.9363i −0.118697 1.79735i
\(112\) 4.29388i 0.405733i
\(113\) 13.0995 4.76783i 1.23230 0.448520i 0.357914 0.933754i \(-0.383488\pi\)
0.874384 + 0.485235i \(0.161266\pi\)
\(114\) −14.3659 5.22877i −1.34549 0.489719i
\(115\) −0.411024 9.07727i −0.0383282 0.846460i
\(116\) −6.61888 + 1.16709i −0.614547 + 0.108361i
\(117\) 15.8147 1.46207
\(118\) 11.5194 2.03118i 1.06045 0.186986i
\(119\) 3.15857 + 1.82360i 0.289546 + 0.167169i
\(120\) −1.52095 6.80847i −0.138843 0.621525i
\(121\) 0.782477 + 1.35529i 0.0711342 + 0.123208i
\(122\) −1.11695 0.644870i −0.101124 0.0583837i
\(123\) −13.2933 36.5231i −1.19862 3.29318i
\(124\) 0.695733 + 0.829142i 0.0624786 + 0.0744592i
\(125\) −1.51306 11.0775i −0.135333 0.990800i
\(126\) 28.4744 + 5.02081i 2.53670 + 0.447290i
\(127\) −5.48175 0.966580i −0.486426 0.0857701i −0.0749439 0.997188i \(-0.523878\pi\)
−0.411483 + 0.911418i \(0.634989\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 4.96160 13.6319i 0.436845 1.20022i
\(130\) 4.42460 2.82885i 0.388063 0.248106i
\(131\) −9.82167 + 11.7050i −0.858123 + 1.02267i 0.141342 + 0.989961i \(0.454858\pi\)
−0.999465 + 0.0327106i \(0.989586\pi\)
\(132\) 9.43762 + 1.66411i 0.821440 + 0.144842i
\(133\) 3.65366 20.7210i 0.316813 1.79674i
\(134\) 5.80000 3.34863i 0.501043 0.289277i
\(135\) −26.0207 + 1.17823i −2.23951 + 0.101406i
\(136\) −0.798171 + 0.290511i −0.0684426 + 0.0249111i
\(137\) 5.08436 + 2.93546i 0.434386 + 0.250793i 0.701213 0.712951i \(-0.252642\pi\)
−0.266827 + 0.963744i \(0.585975\pi\)
\(138\) −10.9796 + 6.33905i −0.934642 + 0.539616i
\(139\) −2.16050 1.81287i −0.183251 0.153766i 0.546548 0.837428i \(-0.315942\pi\)
−0.729799 + 0.683662i \(0.760386\pi\)
\(140\) 8.86459 3.68863i 0.749195 0.311746i
\(141\) 0.159027 + 0.901886i 0.0133925 + 0.0759525i
\(142\) 12.9274 1.08485
\(143\) 1.25271 + 7.10446i 0.104757 + 0.594105i
\(144\) −5.15832 + 4.32834i −0.429860 + 0.360695i
\(145\) 8.09533 + 12.6619i 0.672280 + 1.05151i
\(146\) −4.78204 13.1385i −0.395764 1.08735i
\(147\) 35.6834i 2.94312i
\(148\) −2.68764 + 5.45679i −0.220923 + 0.448546i
\(149\) −4.98214 −0.408153 −0.204077 0.978955i \(-0.565419\pi\)
−0.204077 + 0.978955i \(0.565419\pi\)
\(150\) −12.7493 + 8.98874i −1.04098 + 0.733927i
\(151\) −7.33514 2.66977i −0.596925 0.217263i 0.0258474 0.999666i \(-0.491772\pi\)
−0.622773 + 0.782403i \(0.713994\pi\)
\(152\) 3.14975 + 3.75373i 0.255479 + 0.304467i
\(153\) 0.993195 + 5.63269i 0.0802950 + 0.455376i
\(154\) 13.1893i 1.06282i
\(155\) 1.11407 2.14859i 0.0894846 0.172579i
\(156\) −6.34567 3.66367i −0.508060 0.293329i
\(157\) −15.9623 + 19.0231i −1.27393 + 1.51821i −0.534083 + 0.845432i \(0.679343\pi\)
−0.739846 + 0.672777i \(0.765102\pi\)
\(158\) −6.40549 + 3.69821i −0.509593 + 0.294214i
\(159\) 6.21098 10.7577i 0.492563 0.853144i
\(160\) −0.668950 + 2.13366i −0.0528852 + 0.168681i
\(161\) −11.2159 13.3665i −0.883933 1.05343i
\(162\) 8.07083 + 13.9791i 0.634104 + 1.09830i
\(163\) −2.82751 + 16.0356i −0.221468 + 1.25601i 0.647856 + 0.761763i \(0.275666\pi\)
−0.869324 + 0.494243i \(0.835445\pi\)
\(164\) −2.16328 + 12.2686i −0.168924 + 0.958015i
\(165\) −4.67183 20.9132i −0.363702 1.62809i
\(166\) −3.29594 + 9.05551i −0.255814 + 0.702844i
\(167\) −8.69328 3.16410i −0.672707 0.244845i −0.0169938 0.999856i \(-0.505410\pi\)
−0.655713 + 0.755010i \(0.727632\pi\)
\(168\) −10.2623 8.61105i −0.791750 0.664357i
\(169\) −1.29960 + 7.37041i −0.0999694 + 0.566955i
\(170\) 1.28542 + 1.39824i 0.0985869 + 0.107240i
\(171\) 28.5755 16.4981i 2.18522 1.26164i
\(172\) −3.56193 + 2.98881i −0.271594 + 0.227895i
\(173\) 2.14010 + 5.87989i 0.162709 + 0.447040i 0.994076 0.108684i \(-0.0346636\pi\)
−0.831367 + 0.555723i \(0.812441\pi\)
\(174\) 10.4844 18.1594i 0.794817 1.37666i
\(175\) −15.2302 15.1320i −1.15129 1.14387i
\(176\) −2.35302 1.97442i −0.177366 0.148827i
\(177\) −18.2468 + 31.6045i −1.37152 + 2.37554i
\(178\) 11.8301 2.08597i 0.886705 0.156350i
\(179\) 5.85747i 0.437808i −0.975746 0.218904i \(-0.929752\pi\)
0.975746 0.218904i \(-0.0702481\pi\)
\(180\) 13.3670 + 6.93096i 0.996314 + 0.516603i
\(181\) −8.11917 + 6.81280i −0.603493 + 0.506391i −0.892566 0.450916i \(-0.851097\pi\)
0.289073 + 0.957307i \(0.406653\pi\)
\(182\) 3.44913 9.47640i 0.255666 0.702437i
\(183\) 3.78117 1.37624i 0.279512 0.101734i
\(184\) 4.06364 0.299575
\(185\) 13.5742 + 0.860929i 0.997995 + 0.0632968i
\(186\) −3.37687 −0.247604
\(187\) −2.45170 + 0.892347i −0.179286 + 0.0652549i
\(188\) 0.100395 0.275834i 0.00732207 0.0201172i
\(189\) −38.3162 + 32.1511i −2.78709 + 2.33865i
\(190\) 5.04369 9.72719i 0.365907 0.705685i
\(191\) 6.56607i 0.475105i 0.971375 + 0.237552i \(0.0763451\pi\)
−0.971375 + 0.237552i \(0.923655\pi\)
\(192\) 3.07249 0.541763i 0.221738 0.0390984i
\(193\) 9.02384 15.6297i 0.649550 1.12505i −0.333680 0.942686i \(-0.608291\pi\)
0.983230 0.182368i \(-0.0583761\pi\)
\(194\) −3.23806 2.71706i −0.232479 0.195073i
\(195\) −2.11234 + 16.2477i −0.151268 + 1.16352i
\(196\) 5.71870 9.90507i 0.408478 0.707505i
\(197\) −5.19898 14.2841i −0.370412 1.01770i −0.975203 0.221314i \(-0.928966\pi\)
0.604791 0.796384i \(-0.293257\pi\)
\(198\) −15.8446 + 13.2952i −1.12602 + 0.944846i
\(199\) −3.75123 + 2.16577i −0.265918 + 0.153528i −0.627031 0.778994i \(-0.715730\pi\)
0.361113 + 0.932522i \(0.382397\pi\)
\(200\) 4.97954 0.451880i 0.352107 0.0319527i
\(201\) −3.62833 + 20.5773i −0.255922 + 1.45141i
\(202\) 5.63758 + 4.73049i 0.396659 + 0.332836i
\(203\) 27.1187 + 9.87039i 1.90336 + 0.692765i
\(204\) 0.906361 2.49021i 0.0634579 0.174349i
\(205\) 27.1865 6.07322i 1.89879 0.424172i
\(206\) 1.13875 6.45819i 0.0793407 0.449964i
\(207\) 4.75159 26.9476i 0.330259 1.87299i
\(208\) 1.17430 + 2.03394i 0.0814228 + 0.141028i
\(209\) 9.67494 + 11.5301i 0.669230 + 0.797557i
\(210\) −8.96154 + 28.5834i −0.618405 + 1.97244i
\(211\) −12.3343 + 21.3636i −0.849126 + 1.47073i 0.0328629 + 0.999460i \(0.489538\pi\)
−0.881989 + 0.471270i \(0.843796\pi\)
\(212\) −3.44812 + 1.99077i −0.236818 + 0.136727i
\(213\) −25.9250 + 30.8962i −1.77635 + 2.11697i
\(214\) −11.2786 6.51172i −0.770991 0.445132i
\(215\) 9.23017 + 4.78597i 0.629492 + 0.326401i
\(216\) 11.6487i 0.792596i
\(217\) −0.807040 4.57695i −0.0547854 0.310704i
\(218\) −6.99506 8.33639i −0.473766 0.564612i
\(219\) 40.9908 + 14.9194i 2.76990 + 1.00816i
\(220\) −2.05478 + 6.55386i −0.138533 + 0.441861i
\(221\) 1.99489 0.134191
\(222\) −7.65173 17.3666i −0.513550 1.16557i
\(223\) 8.02784i 0.537584i −0.963198 0.268792i \(-0.913376\pi\)
0.963198 0.268792i \(-0.0866244\pi\)
\(224\) 1.46859 + 4.03493i 0.0981245 + 0.269595i
\(225\) 2.82595 33.5497i 0.188397 2.23665i
\(226\) 10.6788 8.96059i 0.710344 0.596050i
\(227\) 3.01681 + 17.1092i 0.200233 + 1.13558i 0.904767 + 0.425906i \(0.140045\pi\)
−0.704535 + 0.709670i \(0.748844\pi\)
\(228\) −15.2879 −1.01247
\(229\) −2.29183 12.9976i −0.151448 0.858906i −0.961961 0.273185i \(-0.911923\pi\)
0.810513 0.585720i \(-0.199188\pi\)
\(230\) −3.49085 8.38926i −0.230180 0.553172i
\(231\) −31.5221 26.4502i −2.07400 1.74029i
\(232\) −5.82054 + 3.36049i −0.382137 + 0.220627i
\(233\) 0.374584 + 0.216266i 0.0245398 + 0.0141681i 0.512220 0.858854i \(-0.328823\pi\)
−0.487680 + 0.873023i \(0.662157\pi\)
\(234\) 14.8610 5.40896i 0.971493 0.353594i
\(235\) −0.655695 + 0.0296903i −0.0427728 + 0.00193678i
\(236\) 10.1300 5.84856i 0.659407 0.380709i
\(237\) 4.00711 22.7254i 0.260290 1.47618i
\(238\) 3.59179 + 0.633330i 0.232821 + 0.0410527i
\(239\) −1.89751 + 2.26136i −0.122740 + 0.146276i −0.823915 0.566714i \(-0.808215\pi\)
0.701175 + 0.712989i \(0.252659\pi\)
\(240\) −3.75786 5.87767i −0.242569 0.379402i
\(241\) −1.39831 + 3.84182i −0.0900730 + 0.247474i −0.976547 0.215305i \(-0.930925\pi\)
0.886474 + 0.462779i \(0.153148\pi\)
\(242\) 1.19882 + 1.00593i 0.0770633 + 0.0646638i
\(243\) −15.1798 2.67660i −0.973783 0.171704i
\(244\) −1.27015 0.223961i −0.0813127 0.0143376i
\(245\) −25.3614 3.29719i −1.62028 0.210650i
\(246\) −24.9833 29.7739i −1.59288 1.89832i
\(247\) −3.93612 10.8144i −0.250449 0.688104i
\(248\) 0.937358 + 0.541184i 0.0595223 + 0.0343652i
\(249\) −15.0327 26.0373i −0.952657 1.65005i
\(250\) −5.21054 9.89193i −0.329543 0.625621i
\(251\) −8.35634 4.82454i −0.527447 0.304522i 0.212529 0.977155i \(-0.431830\pi\)
−0.739976 + 0.672633i \(0.765163\pi\)
\(252\) 28.4744 5.02081i 1.79372 0.316281i
\(253\) 12.4821 0.784742
\(254\) −5.48175 + 0.966580i −0.343955 + 0.0606486i
\(255\) −5.91956 + 0.268041i −0.370697 + 0.0167854i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −14.1894 + 5.16450i −0.885108 + 0.322153i −0.744269 0.667880i \(-0.767202\pi\)
−0.140839 + 0.990033i \(0.544980\pi\)
\(258\) 14.5067i 0.903151i
\(259\) 21.7097 14.5215i 1.34897 0.902320i
\(260\) 3.19024 4.17155i 0.197850 0.258708i
\(261\) 15.4788 + 42.5278i 0.958116 + 2.63240i
\(262\) −5.22600 + 14.3583i −0.322863 + 0.887060i
\(263\) −0.648578 0.772946i −0.0399931 0.0476619i 0.745677 0.666307i \(-0.232126\pi\)
−0.785670 + 0.618646i \(0.787682\pi\)
\(264\) 9.43762 1.66411i 0.580845 0.102419i
\(265\) 7.07198 + 5.40838i 0.434428 + 0.332234i
\(266\) −3.65366 20.7210i −0.224021 1.27048i
\(267\) −18.7390 + 32.4569i −1.14681 + 1.98633i
\(268\) 4.30491 5.13040i 0.262964 0.313389i
\(269\) −12.0801 20.9234i −0.736539 1.27572i −0.954045 0.299665i \(-0.903125\pi\)
0.217505 0.976059i \(-0.430208\pi\)
\(270\) −24.0485 + 10.0068i −1.46354 + 0.608994i
\(271\) −16.1851 + 5.89088i −0.983173 + 0.357846i −0.783073 0.621930i \(-0.786349\pi\)
−0.200100 + 0.979775i \(0.564127\pi\)
\(272\) −0.650675 + 0.545981i −0.0394530 + 0.0331050i
\(273\) 15.7314 + 27.2475i 0.952106 + 1.64910i
\(274\) 5.78172 + 1.01947i 0.349287 + 0.0615886i
\(275\) 15.2954 1.38802i 0.922348 0.0837006i
\(276\) −8.14932 + 9.71198i −0.490532 + 0.584593i
\(277\) 4.00408 + 1.45736i 0.240582 + 0.0875646i 0.459497 0.888179i \(-0.348030\pi\)
−0.218915 + 0.975744i \(0.570252\pi\)
\(278\) −2.65024 0.964609i −0.158951 0.0578534i
\(279\) 4.68486 5.58320i 0.280475 0.334257i
\(280\) 7.06840 6.49805i 0.422418 0.388333i
\(281\) 12.3341 + 2.17483i 0.735789 + 0.129739i 0.528971 0.848640i \(-0.322578\pi\)
0.206818 + 0.978379i \(0.433689\pi\)
\(282\) 0.457900 + 0.793106i 0.0272675 + 0.0472288i
\(283\) 5.98578 5.02267i 0.355818 0.298567i −0.447303 0.894382i \(-0.647616\pi\)
0.803121 + 0.595816i \(0.203171\pi\)
\(284\) 12.1478 4.42144i 0.720840 0.262364i
\(285\) 13.1330 + 31.5614i 0.777931 + 1.86954i
\(286\) 3.60703 + 6.24756i 0.213288 + 0.369426i
\(287\) 34.3843 40.9776i 2.02964 2.41883i
\(288\) −3.36685 + 5.83156i −0.198394 + 0.343628i
\(289\) −2.82674 16.0312i −0.166279 0.943013i
\(290\) 11.9377 + 9.12953i 0.701008 + 0.536104i
\(291\) 12.9874 2.29003i 0.761335 0.134244i
\(292\) −8.98729 10.7106i −0.525941 0.626792i
\(293\) −3.39709 + 9.33342i −0.198460 + 0.545264i −0.998504 0.0546769i \(-0.982587\pi\)
0.800044 + 0.599941i \(0.204809\pi\)
\(294\) 12.2044 + 33.5314i 0.711777 + 1.95559i
\(295\) −20.7763 15.8889i −1.20964 0.925089i
\(296\) −0.659223 + 6.04694i −0.0383165 + 0.351471i
\(297\) 35.7809i 2.07622i
\(298\) −4.68168 + 1.70399i −0.271203 + 0.0987097i
\(299\) −8.96827 3.26418i −0.518648 0.188773i
\(300\) −8.90611 + 12.8072i −0.514195 + 0.739423i
\(301\) 19.6622 3.46698i 1.13331 0.199833i
\(302\) −7.80589 −0.449179
\(303\) −22.6115 + 3.98701i −1.29900 + 0.229048i
\(304\) 4.24365 + 2.45007i 0.243390 + 0.140521i
\(305\) 0.628750 + 2.81457i 0.0360021 + 0.161162i
\(306\) 2.85979 + 4.95330i 0.163483 + 0.283161i
\(307\) 6.74516 + 3.89432i 0.384966 + 0.222260i 0.679977 0.733234i \(-0.261990\pi\)
−0.295011 + 0.955494i \(0.595323\pi\)
\(308\) 4.51101 + 12.3939i 0.257038 + 0.706207i
\(309\) 13.1512 + 15.6730i 0.748147 + 0.891607i
\(310\) 0.312027 2.40005i 0.0177219 0.136314i
\(311\) −5.30935 0.936181i −0.301065 0.0530860i 0.0210749 0.999778i \(-0.493291\pi\)
−0.322140 + 0.946692i \(0.604402\pi\)
\(312\) −7.21603 1.27238i −0.408527 0.0720344i
\(313\) −15.4492 12.9634i −0.873243 0.732737i 0.0915358 0.995802i \(-0.470822\pi\)
−0.964778 + 0.263064i \(0.915267\pi\)
\(314\) −8.49335 + 23.3353i −0.479307 + 1.31689i
\(315\) −34.8261 54.4716i −1.96223 3.06913i
\(316\) −4.75433 + 5.66599i −0.267452 + 0.318737i
\(317\) −8.18716 1.44362i −0.459836 0.0810816i −0.0610688 0.998134i \(-0.519451\pi\)
−0.398768 + 0.917052i \(0.630562\pi\)
\(318\) 2.15705 12.2333i 0.120961 0.686007i
\(319\) −17.8787 + 10.3223i −1.00101 + 0.577936i
\(320\) 0.101147 + 2.23378i 0.00565429 + 0.124872i
\(321\) 38.1813 13.8968i 2.13107 0.775646i
\(322\) −15.1111 8.72438i −0.842107 0.486191i
\(323\) 3.60454 2.08108i 0.200562 0.115794i
\(324\) 12.3652 + 10.3757i 0.686957 + 0.576425i
\(325\) −11.3526 3.00262i −0.629729 0.166555i
\(326\) 2.82751 + 16.0356i 0.156601 + 0.888130i
\(327\) 33.9518 1.87754
\(328\) 2.16328 + 12.2686i 0.119447 + 0.677419i
\(329\) −0.965528 + 0.810175i −0.0532313 + 0.0446664i
\(330\) −11.5428 18.0542i −0.635412 0.993849i
\(331\) −4.14055 11.3761i −0.227585 0.625285i 0.772366 0.635178i \(-0.219073\pi\)
−0.999951 + 0.00989263i \(0.996851\pi\)
\(332\) 9.63667i 0.528881i
\(333\) 39.3288 + 11.4422i 2.15521 + 0.627030i
\(334\) −9.25120 −0.506203
\(335\) −14.2897 4.48013i −0.780728 0.244776i
\(336\) −12.5885 4.58185i −0.686760 0.249960i
\(337\) −6.92421 8.25195i −0.377186 0.449512i 0.543738 0.839255i \(-0.317008\pi\)
−0.920924 + 0.389743i \(0.872564\pi\)
\(338\) 1.29960 + 7.37041i 0.0706891 + 0.400898i
\(339\) 43.4919i 2.36216i
\(340\) 1.68612 + 0.874278i 0.0914428 + 0.0474144i
\(341\) 2.87924 + 1.66233i 0.155920 + 0.0900202i
\(342\) 21.2095 25.2765i 1.14688 1.36680i
\(343\) −16.5009 + 9.52681i −0.890966 + 0.514399i
\(344\) −2.32488 + 4.02681i −0.125349 + 0.217111i
\(345\) 27.0507 + 8.48102i 1.45636 + 0.456603i
\(346\) 4.02208 + 4.79333i 0.216228 + 0.257691i
\(347\) 16.5449 + 28.6566i 0.888175 + 1.53836i 0.842030 + 0.539430i \(0.181360\pi\)
0.0461450 + 0.998935i \(0.485306\pi\)
\(348\) 3.64118 20.6502i 0.195188 1.10696i
\(349\) 2.84710 16.1467i 0.152402 0.864315i −0.808721 0.588193i \(-0.799840\pi\)
0.961123 0.276122i \(-0.0890493\pi\)
\(350\) −19.4871 9.01040i −1.04163 0.481626i
\(351\) −9.35704 + 25.7082i −0.499442 + 1.37220i
\(352\) −2.88641 1.05057i −0.153846 0.0559954i
\(353\) 25.2032 + 21.1480i 1.34143 + 1.12559i 0.981256 + 0.192709i \(0.0617272\pi\)
0.360174 + 0.932885i \(0.382717\pi\)
\(354\) −6.33706 + 35.9393i −0.336811 + 1.91015i
\(355\) −19.5635 21.2806i −1.03832 1.12946i
\(356\) 10.4032 6.00631i 0.551370 0.318334i
\(357\) −8.71672 + 7.31420i −0.461338 + 0.387108i
\(358\) −2.00337 5.50422i −0.105882 0.290907i
\(359\) −8.43435 + 14.6087i −0.445148 + 0.771018i −0.998063 0.0622193i \(-0.980182\pi\)
0.552915 + 0.833238i \(0.313516\pi\)
\(360\) 14.9314 + 1.94120i 0.786952 + 0.102310i
\(361\) −3.83895 3.22127i −0.202050 0.169540i
\(362\) −5.29941 + 9.17885i −0.278531 + 0.482430i
\(363\) −4.80830 + 0.847834i −0.252371 + 0.0444997i
\(364\) 10.0846i 0.528575i
\(365\) −14.3913 + 27.7549i −0.753276 + 1.45276i
\(366\) 3.08244 2.58648i 0.161122 0.135197i
\(367\) 1.95889 5.38201i 0.102253 0.280939i −0.878008 0.478647i \(-0.841128\pi\)
0.980261 + 0.197708i \(0.0633497\pi\)
\(368\) 3.81857 1.38985i 0.199057 0.0724507i
\(369\) 83.8874 4.36700
\(370\) 13.0500 3.83364i 0.678439 0.199301i
\(371\) 17.0963 0.887594
\(372\) −3.17322 + 1.15496i −0.164524 + 0.0598817i
\(373\) −10.0502 + 27.6126i −0.520378 + 1.42973i 0.349723 + 0.936853i \(0.386276\pi\)
−0.870101 + 0.492874i \(0.835946\pi\)
\(374\) −1.99865 + 1.67706i −0.103348 + 0.0867189i
\(375\) 34.0908 + 7.38448i 1.76044 + 0.381333i
\(376\) 0.293536i 0.0151380i
\(377\) 15.5450 2.74101i 0.800610 0.141169i
\(378\) −25.0091 + 43.3171i −1.28633 + 2.22799i
\(379\) −1.15120 0.965971i −0.0591332 0.0496186i 0.612742 0.790283i \(-0.290066\pi\)
−0.671875 + 0.740664i \(0.734511\pi\)
\(380\) 1.41262 10.8656i 0.0724659 0.557394i
\(381\) 8.68314 15.0396i 0.444851 0.770504i
\(382\) 2.24573 + 6.17009i 0.114902 + 0.315689i
\(383\) 11.1656 9.36905i 0.570535 0.478736i −0.311288 0.950316i \(-0.600760\pi\)
0.881823 + 0.471580i \(0.156316\pi\)
\(384\) 2.70190 1.55994i 0.137881 0.0796056i
\(385\) 21.7117 19.9597i 1.10653 1.01724i
\(386\) 3.13395 17.7735i 0.159514 0.904647i
\(387\) 23.9850 + 20.1258i 1.21922 + 1.02305i
\(388\) −3.97207 1.44572i −0.201652 0.0733951i
\(389\) −1.23410 + 3.39067i −0.0625715 + 0.171914i −0.967039 0.254629i \(-0.918047\pi\)
0.904467 + 0.426543i \(0.140269\pi\)
\(390\) 3.57210 + 15.9903i 0.180880 + 0.809701i
\(391\) 0.599371 3.39920i 0.0303115 0.171905i
\(392\) 1.98608 11.2636i 0.100312 0.568899i
\(393\) −23.8356 41.2845i −1.20235 2.08253i
\(394\) −9.77088 11.6445i −0.492250 0.586640i
\(395\) 15.7814 + 4.94784i 0.794051 + 0.248953i
\(396\) −10.3418 + 17.9125i −0.519695 + 0.900138i
\(397\) −13.0598 + 7.54005i −0.655450 + 0.378424i −0.790541 0.612409i \(-0.790201\pi\)
0.135091 + 0.990833i \(0.456867\pi\)
\(398\) −2.78427 + 3.31816i −0.139563 + 0.166324i
\(399\) 56.8497 + 32.8222i 2.84604 + 1.64316i
\(400\) 4.52468 2.12773i 0.226234 0.106387i
\(401\) 2.50997i 0.125342i 0.998034 + 0.0626711i \(0.0199619\pi\)
−0.998034 + 0.0626711i \(0.980038\pi\)
\(402\) 3.62833 + 20.5773i 0.180964 + 1.02630i
\(403\) −1.63399 1.94732i −0.0813950 0.0970028i
\(404\) 6.91551 + 2.51704i 0.344060 + 0.125227i
\(405\) 10.7980 34.4408i 0.536555 1.71138i
\(406\) 28.8591 1.43225
\(407\) −2.02490 + 18.5741i −0.100371 + 0.920683i
\(408\) 2.65002i 0.131196i
\(409\) 2.78778 + 7.65935i 0.137847 + 0.378730i 0.989338 0.145638i \(-0.0465236\pi\)
−0.851491 + 0.524369i \(0.824301\pi\)
\(410\) 23.4698 15.0053i 1.15909 0.741058i
\(411\) −14.0313 + 11.7737i −0.692114 + 0.580753i
\(412\) −1.13875 6.45819i −0.0561024 0.318172i
\(413\) −50.2260 −2.47146
\(414\) −4.75159 26.9476i −0.233528 1.32440i
\(415\) 19.8946 8.27833i 0.976589 0.406367i
\(416\) 1.79913 + 1.50965i 0.0882094 + 0.0740165i
\(417\) 7.62025 4.39956i 0.373165 0.215447i
\(418\) 13.0350 + 7.52577i 0.637563 + 0.368097i
\(419\) 3.97119 1.44540i 0.194005 0.0706122i −0.243190 0.969979i \(-0.578194\pi\)
0.437196 + 0.899366i \(0.355972\pi\)
\(420\) 1.35501 + 29.9246i 0.0661176 + 1.46017i
\(421\) −15.8189 + 9.13306i −0.770967 + 0.445118i −0.833219 0.552942i \(-0.813505\pi\)
0.0622524 + 0.998060i \(0.480172\pi\)
\(422\) −4.28365 + 24.2938i −0.208525 + 1.18260i
\(423\) −1.94656 0.343230i −0.0946448 0.0166884i
\(424\) −2.55929 + 3.05004i −0.124290 + 0.148123i
\(425\) 0.356469 4.23199i 0.0172913 0.205282i
\(426\) −13.7944 + 37.8998i −0.668341 + 1.83625i
\(427\) 4.24234 + 3.55975i 0.205301 + 0.172268i
\(428\) −12.8256 2.26150i −0.619948 0.109314i
\(429\) −22.1651 3.90831i −1.07014 0.188695i
\(430\) 10.3104 + 1.34044i 0.497213 + 0.0646418i
\(431\) 1.49565 + 1.78244i 0.0720427 + 0.0858572i 0.800862 0.598849i \(-0.204375\pi\)
−0.728819 + 0.684706i \(0.759931\pi\)
\(432\) −3.98410 10.9462i −0.191685 0.526651i
\(433\) −7.13671 4.12038i −0.342969 0.198013i 0.318615 0.947884i \(-0.396782\pi\)
−0.661584 + 0.749871i \(0.730116\pi\)
\(434\) −2.32378 4.02490i −0.111545 0.193201i
\(435\) −45.7596 + 10.2223i −2.19400 + 0.490121i
\(436\) −9.42442 5.44119i −0.451348 0.260586i
\(437\) −19.6099 + 3.45775i −0.938068 + 0.165407i
\(438\) 43.6215 2.08431
\(439\) 27.0030 4.76136i 1.28878 0.227247i 0.513078 0.858342i \(-0.328505\pi\)
0.775706 + 0.631095i \(0.217394\pi\)
\(440\) 0.310688 + 6.86139i 0.0148115 + 0.327104i
\(441\) −72.3714 26.3410i −3.44626 1.25433i
\(442\) 1.87458 0.682291i 0.0891646 0.0324533i
\(443\) 6.47116i 0.307454i 0.988113 + 0.153727i \(0.0491276\pi\)
−0.988113 + 0.153727i \(0.950872\pi\)
\(444\) −13.1300 13.7022i −0.623122 0.650278i
\(445\) −21.3367 16.3175i −1.01146 0.773523i
\(446\) −2.74568 7.54370i −0.130012 0.357204i
\(447\) 5.31627 14.6063i 0.251451 0.690856i
\(448\) 2.76005 + 3.28930i 0.130400 + 0.155405i
\(449\) 5.60004 0.987437i 0.264282 0.0466000i −0.0399369 0.999202i \(-0.512716\pi\)
0.304219 + 0.952602i \(0.401605\pi\)
\(450\) −8.81915 32.4930i −0.415739 1.53173i
\(451\) 6.64485 + 37.6848i 0.312894 + 1.77451i
\(452\) 6.97010 12.0726i 0.327846 0.567846i
\(453\) 15.6541 18.6559i 0.735496 0.876530i
\(454\) 8.68656 + 15.0456i 0.407680 + 0.706123i
\(455\) −20.8193 + 8.66310i −0.976024 + 0.406132i
\(456\) −14.3659 + 5.22877i −0.672746 + 0.244860i
\(457\) 31.6523 26.5595i 1.48063 1.24240i 0.575128 0.818063i \(-0.304952\pi\)
0.905505 0.424336i \(-0.139492\pi\)
\(458\) −6.59906 11.4299i −0.308354 0.534084i
\(459\) −9.74408 1.71814i −0.454814 0.0801961i
\(460\) −6.14962 6.68939i −0.286727 0.311894i
\(461\) 20.7945 24.7819i 0.968495 1.15421i −0.0195139 0.999810i \(-0.506212\pi\)
0.988009 0.154398i \(-0.0493437\pi\)
\(462\) −38.6675 14.0738i −1.79898 0.654774i
\(463\) 25.6198 + 9.32486i 1.19066 + 0.433363i 0.859954 0.510372i \(-0.170492\pi\)
0.330702 + 0.943735i \(0.392715\pi\)
\(464\) −4.32016 + 5.14857i −0.200559 + 0.239016i
\(465\) 5.11031 + 5.55886i 0.236985 + 0.257786i
\(466\) 0.425962 + 0.0751085i 0.0197323 + 0.00347934i
\(467\) −11.2813 19.5398i −0.522036 0.904194i −0.999671 0.0256351i \(-0.991839\pi\)
0.477635 0.878558i \(-0.341494\pi\)
\(468\) 12.1148 10.1655i 0.560006 0.469901i
\(469\) −27.0229 + 9.83555i −1.24780 + 0.454163i
\(470\) −0.605997 + 0.252160i −0.0279525 + 0.0116313i
\(471\) −38.7379 67.0961i −1.78495 3.09162i
\(472\) 7.51876 8.96051i 0.346079 0.412441i
\(473\) −7.14123 + 12.3690i −0.328354 + 0.568726i
\(474\) −4.00711 22.7254i −0.184052 1.04381i
\(475\) −23.6452 + 6.41773i −1.08492 + 0.294466i
\(476\) 3.59179 0.633330i 0.164630 0.0290286i
\(477\) 17.2335 + 20.5381i 0.789067 + 0.940373i
\(478\) −1.00964 + 2.77397i −0.0461801 + 0.126879i
\(479\) 3.00815 + 8.26482i 0.137446 + 0.377629i 0.989251 0.146230i \(-0.0467140\pi\)
−0.851805 + 0.523859i \(0.824492\pi\)
\(480\) −5.54151 4.23794i −0.252934 0.193435i
\(481\) 6.31217 12.8158i 0.287810 0.584349i
\(482\) 4.08838i 0.186221i
\(483\) 51.1552 18.6190i 2.32764 0.847192i
\(484\) 1.47058 + 0.535246i 0.0668443 + 0.0243293i
\(485\) 0.427547 + 9.44217i 0.0194139 + 0.428747i
\(486\) −15.1798 + 2.67660i −0.688569 + 0.121413i
\(487\) −9.87486 −0.447473 −0.223736 0.974650i \(-0.571825\pi\)
−0.223736 + 0.974650i \(0.571825\pi\)
\(488\) −1.27015 + 0.223961i −0.0574968 + 0.0101382i
\(489\) −43.9950 25.4005i −1.98952 1.14865i
\(490\) −24.9596 + 5.57575i −1.12756 + 0.251887i
\(491\) 17.2328 + 29.8482i 0.777707 + 1.34703i 0.933260 + 0.359201i \(0.116951\pi\)
−0.155553 + 0.987828i \(0.549716\pi\)
\(492\) −33.6599 19.4335i −1.51750 0.876132i
\(493\) 1.95252 + 5.36449i 0.0879369 + 0.241605i
\(494\) −7.39748 8.81598i −0.332828 0.396650i
\(495\) 45.8640 + 5.96270i 2.06143 + 0.268003i
\(496\) 1.06592 + 0.187951i 0.0478614 + 0.00843926i
\(497\) −54.6655 9.63901i −2.45208 0.432369i
\(498\) −23.0314 19.3256i −1.03206 0.866002i
\(499\) −11.8595 + 32.5837i −0.530904 + 1.45865i 0.327094 + 0.944992i \(0.393931\pi\)
−0.857997 + 0.513654i \(0.828292\pi\)
\(500\) −8.27954 7.51327i −0.370272 0.336003i
\(501\) 18.5526 22.1101i 0.828869 0.987807i
\(502\) −9.50248 1.67554i −0.424116 0.0747832i
\(503\) −2.67834 + 15.1896i −0.119421 + 0.677273i 0.865044 + 0.501696i \(0.167290\pi\)
−0.984466 + 0.175577i \(0.943821\pi\)
\(504\) 25.0400 14.4569i 1.11537 0.643959i
\(505\) −0.744374 16.4391i −0.0331242 0.731532i
\(506\) 11.7293 4.26912i 0.521432 0.189786i
\(507\) −20.2213 11.6748i −0.898061 0.518496i
\(508\) −4.82057 + 2.78316i −0.213878 + 0.123483i
\(509\) 23.8454 + 20.0087i 1.05693 + 0.886869i 0.993805 0.111137i \(-0.0354491\pi\)
0.0631242 + 0.998006i \(0.479894\pi\)
\(510\) −5.47089 + 2.27649i −0.242255 + 0.100804i
\(511\) 10.4251 + 59.1238i 0.461180 + 2.61548i
\(512\) −1.00000 −0.0441942
\(513\) 9.91192 + 56.2133i 0.437622 + 2.48188i
\(514\) −11.5673 + 9.70609i −0.510210 + 0.428117i
\(515\) −12.3545 + 7.89880i −0.544405 + 0.348063i
\(516\) −4.96160 13.6319i −0.218422 0.600110i
\(517\) 0.901640i 0.0396541i
\(518\) 15.4338 21.0709i 0.678122 0.925801i
\(519\) −19.5219 −0.856917
\(520\) 1.57109 5.01110i 0.0688969 0.219751i
\(521\) −38.5662 14.0369i −1.68962 0.614970i −0.695038 0.718973i \(-0.744613\pi\)
−0.994577 + 0.104003i \(0.966835\pi\)
\(522\) 29.0907 + 34.6690i 1.27327 + 1.51742i
\(523\) −2.06523 11.7125i −0.0903063 0.512152i −0.996085 0.0884013i \(-0.971824\pi\)
0.905779 0.423751i \(-0.139287\pi\)
\(524\) 15.2798i 0.667501i
\(525\) 60.6146 28.5040i 2.64544 1.24402i
\(526\) −0.873827 0.504504i −0.0381007 0.0219974i
\(527\) 0.590953 0.704270i 0.0257423 0.0306785i
\(528\) 8.29930 4.79161i 0.361181 0.208528i
\(529\) 3.24342 5.61778i 0.141018 0.244251i
\(530\) 8.49526 + 2.66345i 0.369010 + 0.115693i
\(531\) −50.6291 60.3374i −2.19712 2.61842i
\(532\) −10.5203 18.2217i −0.456113 0.790011i
\(533\) 5.08067 28.8139i 0.220068 1.24807i
\(534\) −6.50799 + 36.9087i −0.281628 + 1.59719i
\(535\) 6.34895 + 28.4208i 0.274489 + 1.22874i
\(536\) 2.29060 6.29336i 0.0989387 0.271832i
\(537\) 17.1726 + 6.25030i 0.741051 + 0.269720i
\(538\) −18.5079 15.5299i −0.797930 0.669543i
\(539\) 6.10055 34.5980i 0.262769 1.49024i
\(540\) −19.1757 + 17.6284i −0.825189 + 0.758604i
\(541\) −7.85642 + 4.53591i −0.337774 + 0.195014i −0.659287 0.751891i \(-0.729142\pi\)
0.321513 + 0.946905i \(0.395809\pi\)
\(542\) −13.1942 + 11.0712i −0.566739 + 0.475550i
\(543\) −11.3096 31.0730i −0.485343 1.33347i
\(544\) −0.424698 + 0.735599i −0.0182088 + 0.0315385i
\(545\) −3.13719 + 24.1307i −0.134382 + 1.03364i
\(546\) 24.1019 + 20.2239i 1.03146 + 0.865501i
\(547\) −7.32539 + 12.6880i −0.313211 + 0.542498i −0.979056 0.203593i \(-0.934738\pi\)
0.665844 + 0.746091i \(0.268071\pi\)
\(548\) 5.78172 1.01947i 0.246983 0.0435497i
\(549\) 8.68472i 0.370655i
\(550\) 13.8983 6.53565i 0.592624 0.278681i
\(551\) 25.2287 21.1694i 1.07478 0.901848i
\(552\) −4.33616 + 11.9135i −0.184559 + 0.507073i
\(553\) 29.8440 10.8623i 1.26910 0.461913i
\(554\) 4.26105 0.181035
\(555\) −17.0086 + 38.8773i −0.721973 + 1.65025i
\(556\) −2.82033 −0.119609
\(557\) 4.57236 1.66420i 0.193737 0.0705145i −0.243330 0.969944i \(-0.578240\pi\)
0.437067 + 0.899429i \(0.356017\pi\)
\(558\) 2.49276 6.84881i 0.105527 0.289933i
\(559\) 8.36551 7.01950i 0.353824 0.296893i
\(560\) 4.41966 8.52370i 0.186765 0.360192i
\(561\) 8.13994i 0.343669i
\(562\) 12.3341 2.17483i 0.520281 0.0917396i
\(563\) −5.41494 + 9.37895i −0.228213 + 0.395276i −0.957278 0.289168i \(-0.906621\pi\)
0.729066 + 0.684444i \(0.239955\pi\)
\(564\) 0.701543 + 0.588665i 0.0295403 + 0.0247873i
\(565\) −30.9111 4.01870i −1.30044 0.169068i
\(566\) 3.90694 6.76702i 0.164221 0.284439i
\(567\) −23.7055 65.1304i −0.995538 2.73522i
\(568\) 9.90299 8.30960i 0.415520 0.348663i
\(569\) 11.3252 6.53861i 0.474778 0.274113i −0.243460 0.969911i \(-0.578282\pi\)
0.718238 + 0.695798i \(0.244949\pi\)
\(570\) 23.1356 + 25.1663i 0.969044 + 1.05410i
\(571\) −3.45342 + 19.5853i −0.144521 + 0.819620i 0.823229 + 0.567709i \(0.192170\pi\)
−0.967750 + 0.251911i \(0.918941\pi\)
\(572\) 5.52629 + 4.63711i 0.231066 + 0.193887i
\(573\) −19.2500 7.00643i −0.804180 0.292698i
\(574\) 18.2955 50.2665i 0.763639 2.09808i
\(575\) −8.52726 + 18.4422i −0.355611 + 0.769093i
\(576\) −1.16930 + 6.63140i −0.0487206 + 0.276308i
\(577\) −4.48070 + 25.4113i −0.186534 + 1.05789i 0.737435 + 0.675418i \(0.236037\pi\)
−0.923969 + 0.382468i \(0.875074\pi\)
\(578\) −8.13926 14.0976i −0.338549 0.586384i
\(579\) 36.1933 + 43.1335i 1.50414 + 1.79257i
\(580\) 14.3403 + 4.49600i 0.595448 + 0.186686i
\(581\) 20.6893 35.8350i 0.858339 1.48669i
\(582\) 11.4209 6.59387i 0.473412 0.273325i
\(583\) −7.86124 + 9.36866i −0.325579 + 0.388010i
\(584\) −12.1085 6.99087i −0.501055 0.289284i
\(585\) −31.3935 16.2780i −1.29796 0.673013i
\(586\) 9.93242i 0.410304i
\(587\) −2.28471 12.9572i −0.0942999 0.534802i −0.994960 0.100276i \(-0.968027\pi\)
0.900660 0.434525i \(-0.143084\pi\)
\(588\) 22.9368 + 27.3351i 0.945899 + 1.12728i
\(589\) −4.98390 1.81399i −0.205358 0.0747442i
\(590\) −24.9577 7.82479i −1.02749 0.322142i
\(591\) 47.4248 1.95079
\(592\) 1.44871 + 5.90773i 0.0595415 + 0.242806i
\(593\) 8.00566i 0.328753i 0.986398 + 0.164377i \(0.0525612\pi\)
−0.986398 + 0.164377i \(0.947439\pi\)
\(594\) −12.2378 33.6230i −0.502122 1.37957i
\(595\) −4.39300 6.87110i −0.180096 0.281688i
\(596\) −3.81654 + 3.20246i −0.156332 + 0.131178i
\(597\) −2.34667 13.3086i −0.0960429 0.544686i
\(598\) −9.54383 −0.390276
\(599\) 0.597637 + 3.38937i 0.0244188 + 0.138486i 0.994580 0.103975i \(-0.0331564\pi\)
−0.970161 + 0.242461i \(0.922045\pi\)
\(600\) −3.98870 + 15.0809i −0.162838 + 0.615674i
\(601\) 28.1678 + 23.6356i 1.14899 + 0.964114i 0.999695 0.0246789i \(-0.00785634\pi\)
0.149291 + 0.988793i \(0.452301\pi\)
\(602\) 17.2907 9.98276i 0.704714 0.406867i
\(603\) −39.0555 22.5487i −1.59046 0.918253i
\(604\) −7.33514 + 2.66977i −0.298463 + 0.108632i
\(605\) −0.158290 3.49576i −0.00643541 0.142123i
\(606\) −19.8842 + 11.4802i −0.807741 + 0.466349i
\(607\) −1.37416 + 7.79326i −0.0557755 + 0.316319i −0.999912 0.0132349i \(-0.995787\pi\)
0.944137 + 0.329553i \(0.106898\pi\)
\(608\) 4.82570 + 0.850901i 0.195708 + 0.0345086i
\(609\) −57.8747 + 68.9724i −2.34520 + 2.79490i
\(610\) 1.55347 + 2.42979i 0.0628982 + 0.0983792i
\(611\) −0.235787 + 0.647821i −0.00953894 + 0.0262080i
\(612\) 4.38145 + 3.67648i 0.177110 + 0.148613i
\(613\) 28.9291 + 5.10097i 1.16843 + 0.206026i 0.724009 0.689790i \(-0.242297\pi\)
0.444424 + 0.895817i \(0.353408\pi\)
\(614\) 7.67031 + 1.35248i 0.309548 + 0.0545817i
\(615\) −11.2047 + 86.1841i −0.451815 + 3.47528i
\(616\) 8.47792 + 10.1036i 0.341585 + 0.407085i
\(617\) 6.39279 + 17.5640i 0.257364 + 0.707102i 0.999328 + 0.0366616i \(0.0116724\pi\)
−0.741964 + 0.670440i \(0.766105\pi\)
\(618\) 17.7186 + 10.2298i 0.712746 + 0.411504i
\(619\) 17.2663 + 29.9062i 0.693992 + 1.20203i 0.970519 + 0.241024i \(0.0774832\pi\)
−0.276527 + 0.961006i \(0.589183\pi\)
\(620\) −0.527657 2.36203i −0.0211912 0.0948614i
\(621\) 40.9944 + 23.6681i 1.64505 + 0.949769i
\(622\) −5.30935 + 0.936181i −0.212885 + 0.0375374i
\(623\) −51.5807 −2.06654
\(624\) −7.21603 + 1.27238i −0.288872 + 0.0509360i
\(625\) −8.39843 + 23.5471i −0.335937 + 0.941884i
\(626\) −18.9513 6.89771i −0.757446 0.275688i
\(627\) −44.1271 + 16.0610i −1.76227 + 0.641413i
\(628\) 24.8329i 0.990940i
\(629\) 4.96098 + 1.44333i 0.197807 + 0.0575495i
\(630\) −51.3562 39.2753i −2.04608 1.56477i
\(631\) −6.23514 17.1309i −0.248217 0.681970i −0.999752 0.0222771i \(-0.992908\pi\)
0.751535 0.659693i \(-0.229314\pi\)
\(632\) −2.52972 + 6.95036i −0.100627 + 0.276471i
\(633\) −49.4709 58.9572i −1.96629 2.34334i
\(634\) −8.18716 + 1.44362i −0.325153 + 0.0573333i
\(635\) 9.88683 + 7.56107i 0.392347 + 0.300052i
\(636\) −2.15705 12.2333i −0.0855327 0.485080i
\(637\) −13.4309 + 23.2630i −0.532151 + 0.921713i
\(638\) −13.2700 + 15.8146i −0.525366 + 0.626107i
\(639\) −43.5248 75.3871i −1.72181 2.98227i
\(640\) 0.859044 + 2.06447i 0.0339567 + 0.0816054i
\(641\) −39.4749 + 14.3677i −1.55916 + 0.567490i −0.970545 0.240920i \(-0.922551\pi\)
−0.588620 + 0.808410i \(0.700329\pi\)
\(642\) 31.1257 26.1175i 1.22843 1.03078i
\(643\) −2.03342 3.52199i −0.0801903 0.138894i 0.823141 0.567837i \(-0.192219\pi\)
−0.903332 + 0.428943i \(0.858886\pi\)
\(644\) −17.1837 3.02995i −0.677132 0.119397i
\(645\) −23.8804 + 21.9535i −0.940290 + 0.864417i
\(646\) 2.67539 3.18840i 0.105262 0.125446i
\(647\) 28.4936 + 10.3708i 1.12020 + 0.407719i 0.834725 0.550668i \(-0.185627\pi\)
0.285474 + 0.958386i \(0.407849\pi\)
\(648\) 15.1682 + 5.52077i 0.595863 + 0.216876i
\(649\) 23.0950 27.5236i 0.906559 1.08039i
\(650\) −11.6949 + 1.06128i −0.458712 + 0.0416269i
\(651\) 14.2796 + 2.51787i 0.559661 + 0.0986833i
\(652\) 8.14149 + 14.1015i 0.318845 + 0.552256i
\(653\) 21.2057 17.7937i 0.829844 0.696322i −0.125411 0.992105i \(-0.540025\pi\)
0.955255 + 0.295783i \(0.0955806\pi\)
\(654\) 31.9043 11.6122i 1.24756 0.454073i
\(655\) 31.5447 13.1260i 1.23255 0.512877i
\(656\) 6.22892 + 10.7888i 0.243199 + 0.421232i
\(657\) −60.5177 + 72.1222i −2.36102 + 2.81376i
\(658\) −0.630204 + 1.09155i −0.0245679 + 0.0425529i
\(659\) −7.70123 43.6758i −0.299997 1.70137i −0.646166 0.763197i \(-0.723629\pi\)
0.346169 0.938172i \(-0.387483\pi\)
\(660\) −17.0216 13.0175i −0.662565 0.506705i
\(661\) 12.1733 2.14649i 0.473488 0.0834887i 0.0681882 0.997672i \(-0.478278\pi\)
0.405300 + 0.914184i \(0.367167\pi\)
\(662\) −7.78169 9.27386i −0.302444 0.360439i
\(663\) −2.12867 + 5.84848i −0.0826708 + 0.227136i
\(664\) 3.29594 + 9.05551i 0.127907 + 0.351422i
\(665\) −28.5808 + 37.3721i −1.10832 + 1.44923i
\(666\) 40.8705 2.69908i 1.58370 0.104587i
\(667\) 27.3116i 1.05751i
\(668\) −8.69328 + 3.16410i −0.336353 + 0.122423i
\(669\) 23.5355 + 8.56622i 0.909935 + 0.331189i
\(670\) −14.9602 + 0.677407i −0.577963 + 0.0261705i
\(671\) −3.90144 + 0.687930i −0.150614 + 0.0265572i
\(672\) −13.3964 −0.516778
\(673\) −19.1947 + 3.38454i −0.739901 + 0.130464i −0.530880 0.847447i \(-0.678139\pi\)
−0.209020 + 0.977911i \(0.567027\pi\)
\(674\) −9.32896 5.38608i −0.359338 0.207464i
\(675\) 52.8660 + 24.4441i 2.03481 + 0.940852i
\(676\) 3.74206 + 6.48143i 0.143925 + 0.249286i
\(677\) −14.6915 8.48214i −0.564640 0.325995i 0.190366 0.981713i \(-0.439033\pi\)
−0.755006 + 0.655718i \(0.772366\pi\)
\(678\) 14.8751 + 40.8690i 0.571275 + 1.56956i
\(679\) 11.6667 + 13.9039i 0.447728 + 0.533581i
\(680\) 1.88346 + 0.244865i 0.0722273 + 0.00939015i
\(681\) −53.3787 9.41211i −2.04548 0.360673i
\(682\) 3.27415 + 0.577321i 0.125374 + 0.0221068i
\(683\) 4.87967 + 4.09453i 0.186716 + 0.156673i 0.731354 0.681998i \(-0.238889\pi\)
−0.544639 + 0.838671i \(0.683333\pi\)
\(684\) 11.2853 31.0062i 0.431506 1.18555i
\(685\) −7.07143 11.0604i −0.270185 0.422597i
\(686\) −12.2474 + 14.5959i −0.467609 + 0.557275i
\(687\) 40.5511 + 7.15025i 1.54712 + 0.272799i
\(688\) −0.807423 + 4.57912i −0.0307827 + 0.174577i
\(689\) 8.09822 4.67551i 0.308518 0.178123i
\(690\) 28.3201 1.28235i 1.07813 0.0488182i
\(691\) −18.7141 + 6.81136i −0.711916 + 0.259116i −0.672490 0.740106i \(-0.734775\pi\)
−0.0394261 + 0.999222i \(0.512553\pi\)
\(692\) 5.41894 + 3.12862i 0.205997 + 0.118932i
\(693\) 76.9142 44.4064i 2.92173 1.68686i
\(694\) 25.3482 + 21.2697i 0.962205 + 0.807386i
\(695\) 2.42279 + 5.82249i 0.0919016 + 0.220860i
\(696\) −3.64118 20.6502i −0.138019 0.782742i
\(697\) 10.5816 0.400808
\(698\) −2.84710 16.1467i −0.107765 0.611163i
\(699\) −1.03374 + 0.867412i −0.0390997 + 0.0328085i
\(700\) −21.3936 1.80203i −0.808603 0.0681101i
\(701\) −16.0277 44.0356i −0.605356 1.66320i −0.740241 0.672341i \(-0.765289\pi\)
0.134885 0.990861i \(-0.456933\pi\)
\(702\) 27.3581i 1.03257i
\(703\) −1.96413 29.7416i −0.0740786 1.12173i
\(704\) −3.07165 −0.115767
\(705\) 0.612625 1.95400i 0.0230728 0.0735921i
\(706\) 30.9163 + 11.2526i 1.16355 + 0.423497i
\(707\) −20.3121 24.2071i −0.763917 0.910401i
\(708\) 6.33706 + 35.9393i 0.238161 + 1.35068i
\(709\) 23.8789i 0.896792i −0.893835 0.448396i \(-0.851995\pi\)
0.893835 0.448396i \(-0.148005\pi\)
\(710\) −25.6620 13.3061i −0.963079 0.499370i
\(711\) 43.1327 + 24.9027i 1.61760 + 0.933922i
\(712\) 7.72156 9.20220i 0.289378 0.344867i
\(713\) −3.80908 + 2.19918i −0.142651 + 0.0823598i
\(714\) −5.68943 + 9.85439i −0.212922 + 0.368791i
\(715\) 4.82585 15.3924i 0.180477 0.575641i
\(716\) −3.76511 4.48708i −0.140709 0.167690i
\(717\) −4.60496 7.97602i −0.171975 0.297870i
\(718\) −2.92922 + 16.6124i −0.109317 + 0.619970i
\(719\) 1.40969 7.99473i 0.0525725 0.298153i −0.947173 0.320724i \(-0.896074\pi\)
0.999745 + 0.0225705i \(0.00718501\pi\)
\(720\) 14.6948 3.28269i 0.547644 0.122339i
\(721\) −9.63077 + 26.4603i −0.358669 + 0.985434i
\(722\) −4.70917 1.71400i −0.175257 0.0637885i
\(723\) −9.77113 8.19895i −0.363392 0.304922i
\(724\) −1.84047 + 10.4378i −0.0684004 + 0.387918i
\(725\) −3.03708 33.4674i −0.112794 1.24295i
\(726\) −4.22835 + 2.44124i −0.156929 + 0.0906029i
\(727\) −11.5610 + 9.70086i −0.428775 + 0.359785i −0.831489 0.555541i \(-0.812511\pi\)
0.402714 + 0.915326i \(0.368067\pi\)
\(728\) −3.44913 9.47640i −0.127833 0.351219i
\(729\) −0.167583 + 0.290263i −0.00620680 + 0.0107505i
\(730\) −4.03068 + 31.0032i −0.149182 + 1.14748i
\(731\) 3.02549 + 2.53868i 0.111902 + 0.0938966i
\(732\) 2.01192 3.48475i 0.0743627 0.128800i
\(733\) −0.153995 + 0.0271535i −0.00568793 + 0.00100294i −0.176491 0.984302i \(-0.556475\pi\)
0.170803 + 0.985305i \(0.445364\pi\)
\(734\) 5.72742i 0.211403i
\(735\) 36.7287 70.8345i 1.35476 2.61277i
\(736\) 3.11293 2.61206i 0.114744 0.0962817i
\(737\) 7.03592 19.3310i 0.259171 0.712067i
\(738\) 78.8284 28.6912i 2.90171 1.05614i
\(739\) −33.1469 −1.21933 −0.609664 0.792660i \(-0.708696\pi\)
−0.609664 + 0.792660i \(0.708696\pi\)
\(740\) 10.9518 8.06582i 0.402597 0.296505i
\(741\) 35.9050 1.31900
\(742\) 16.0652 5.84726i 0.589773 0.214660i
\(743\) 1.56280 4.29376i 0.0573336 0.157523i −0.907719 0.419578i \(-0.862178\pi\)
0.965053 + 0.262055i \(0.0844003\pi\)
\(744\) −2.58683 + 2.17061i −0.0948378 + 0.0795784i
\(745\) 9.88997 + 5.12809i 0.362340 + 0.187879i
\(746\) 29.3847i 1.07585i
\(747\) 63.9047 11.2681i 2.33815 0.412279i
\(748\) −1.30452 + 2.25950i −0.0476981 + 0.0826156i
\(749\) 42.8380 + 35.9454i 1.56527 + 1.31341i
\(750\) 34.5605 4.72059i 1.26197 0.172372i
\(751\) −10.1889 + 17.6478i −0.371800 + 0.643976i −0.989842 0.142168i \(-0.954593\pi\)
0.618043 + 0.786144i \(0.287926\pi\)
\(752\) −0.100395 0.275834i −0.00366104 0.0100586i
\(753\) 23.0610 19.3505i 0.840390 0.705171i
\(754\) 13.6701 7.89243i 0.497835 0.287425i
\(755\) 11.8129 + 12.8497i 0.429915 + 0.467650i
\(756\) −8.68558 + 49.2584i −0.315892 + 1.79151i
\(757\) 26.8630 + 22.5407i 0.976352 + 0.819257i 0.983535 0.180717i \(-0.0578419\pi\)
−0.00718280 + 0.999974i \(0.502286\pi\)
\(758\) −1.41216 0.513983i −0.0512918 0.0186687i
\(759\) −13.3192 + 36.5942i −0.483456 + 1.32828i
\(760\) −2.38883 10.6935i −0.0866519 0.387893i
\(761\) 7.05517 40.0119i 0.255750 1.45043i −0.538391 0.842695i \(-0.680968\pi\)
0.794141 0.607734i \(-0.207921\pi\)
\(762\) 3.01562 17.1024i 0.109244 0.619556i
\(763\) 23.3638 + 40.4673i 0.845827 + 1.46502i
\(764\) 4.22059 + 5.02991i 0.152696 + 0.181976i
\(765\) 3.82612 12.2036i 0.138334 0.441224i
\(766\) 7.28782 12.6229i 0.263320 0.456083i
\(767\) −23.7912 + 13.7359i −0.859052 + 0.495974i
\(768\) 2.00543 2.38997i 0.0723646 0.0862407i
\(769\) −22.5381 13.0124i −0.812746 0.469239i 0.0351623 0.999382i \(-0.488805\pi\)
−0.847909 + 0.530142i \(0.822139\pi\)
\(770\) 13.5757 26.1819i 0.489233 0.943529i
\(771\) 47.1103i 1.69664i
\(772\) −3.13395 17.7735i −0.112793