Properties

Label 370.2.v.a.289.10
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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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 289.10
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.a.169.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 + 0.342020i) q^{2} +(1.06706 - 2.93174i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.51333 + 1.64616i) q^{5} +3.11989i q^{6} +(4.22864 - 0.745624i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-5.15832 - 4.32834i) q^{9} +O(q^{10})\) \(q+(-0.939693 + 0.342020i) q^{2} +(1.06706 - 2.93174i) q^{3} +(0.766044 - 0.642788i) q^{4} +(-1.51333 + 1.64616i) q^{5} +3.11989i q^{6} +(4.22864 - 0.745624i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-5.15832 - 4.32834i) q^{9} +(0.859044 - 2.06447i) 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} +(3.21128 + 6.19324i) 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} +(-0.101147 + 2.23378i) 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} +(-0.419673 - 4.98236i) 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} +(-5.13583 - 4.72142i) q^{30} +1.08237i q^{31} +(0.173648 + 0.984808i) q^{32} +(-6.15997 - 7.34117i) q^{33} +(-0.798171 - 0.290511i) q^{34} +(-5.17191 + 8.08939i) q^{35} -6.73370 q^{36} +(5.56641 - 2.45256i) q^{37} -4.90014i q^{38} +(-2.50610 - 6.88545i) q^{39} +(-0.668950 - 2.13366i) q^{40} +(-9.54326 + 8.00775i) q^{41} +(2.32626 + 13.1929i) q^{42} +4.64976 q^{43} +(-0.533387 - 3.02499i) q^{44} +(14.9314 - 1.94120i) 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} +(2.09843 + 4.53835i) 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} +(2.05478 + 6.55386i) 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} +(6.44092 + 2.68012i) 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} +(-0.237553 + 5.24624i) q^{65} +(8.29930 + 4.79161i) q^{66} +(-6.59551 + 1.16297i) q^{67} +0.849396 q^{68} +(-12.4855 + 2.20153i) q^{69} +(2.09327 - 9.37044i) 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} +(-1.88346 + 0.244865i) 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} +(-13.3670 + 6.93096i) 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} +(-5.04369 - 9.72719i) 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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q - 3 q^{5} - 30 q^{8} - 6 q^{9} + 9 q^{10} + 6 q^{11} - 3 q^{13} + 9 q^{14} + 18 q^{15} + 3 q^{17} + 12 q^{18} + 3 q^{19} - 6 q^{20} + 12 q^{21} - 3 q^{22} - 18 q^{23} - 15 q^{25} - 27 q^{26} + 6 q^{30} - 66 q^{33} + 21 q^{34} - 3 q^{35} - 72 q^{36} + 6 q^{37} + 12 q^{39} + 6 q^{40} - 57 q^{41} + 12 q^{42} + 60 q^{43} - 3 q^{44} + 45 q^{45} - 21 q^{46} - 18 q^{47} - 6 q^{49} + 36 q^{50} - 3 q^{52} - 6 q^{53} + 3 q^{55} + 30 q^{57} + 15 q^{58} - 12 q^{59} + 9 q^{60} + 42 q^{61} - 12 q^{62} - 9 q^{63} - 30 q^{64} - 30 q^{65} - 18 q^{67} - 24 q^{68} + 36 q^{69} + 18 q^{71} + 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} + 21 q^{77} + 6 q^{78} - 24 q^{79} - 36 q^{81} + 27 q^{82} + 30 q^{83} + 12 q^{84} + 33 q^{85} - 18 q^{86} - 30 q^{87} + 6 q^{88} + 3 q^{89} - 3 q^{90} + 57 q^{91} + 15 q^{92} + 60 q^{93} + 3 q^{94} - 150 q^{95} + 84 q^{97} - 6 q^{98} - 45 q^{99}+O(q^{100}) \) 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 \(-0.531991\pi\)
0.716405 0.697685i \(-0.245786\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) −1.51333 + 1.64616i −0.676781 + 0.736184i
\(6\) 3.11989i 1.27369i
\(7\) 4.22864 0.745624i 1.59828 0.281819i 0.697659 0.716430i \(-0.254225\pi\)
0.900618 + 0.434611i \(0.143114\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −5.15832 4.32834i −1.71944 1.44278i
\(10\) 0.859044 2.06447i 0.271654 0.652843i
\(11\) 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 −0.358246 0.933627i \(-0.616625\pi\)
0.857234 + 0.514927i \(0.172181\pi\)
\(14\) −3.71861 + 2.14694i −0.993840 + 0.573794i
\(15\) 3.21128 + 6.19324i 0.829149 + 1.59909i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 0.650675 + 0.545981i 0.157812 + 0.132420i 0.718275 0.695760i \(-0.244932\pi\)
−0.560463 + 0.828180i \(0.689377\pi\)
\(18\) 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 \(0.921111\pi\)
\(20\) −0.101147 + 2.23378i −0.0226171 + 0.499488i
\(21\) 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 0.572631 0.819813i \(-0.305923\pi\)
−0.996295 + 0.0860065i \(0.972589\pi\)
\(24\) 2.00543 + 2.38997i 0.409356 + 0.487851i
\(25\) −0.419673 4.98236i −0.0839346 0.996471i
\(26\) −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 \(0.881171\pi\)
\(30\) −5.13583 4.72142i −0.937670 0.862009i
\(31\) 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
\(35\) −5.17191 + 8.08939i −0.874213 + 1.36736i
\(36\) −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
\(40\) −0.668950 2.13366i −0.105770 0.337361i
\(41\) −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 \(-0.384637\pi\)
0.354541 + 0.935040i \(0.384637\pi\)
\(44\) −0.533387 3.02499i −0.0804111 0.456034i
\(45\) 14.9314 1.94120i 2.22584 0.289377i
\(46\) 3.11293 + 2.61206i 0.458976 + 0.385127i
\(47\) −0.254210 + 0.146768i −0.0370803 + 0.0214083i −0.518426 0.855123i \(-0.673482\pi\)
0.481345 + 0.876531i \(0.340148\pi\)
\(48\) −2.70190 1.55994i −0.389986 0.225159i
\(49\) 10.7476 3.91182i 1.53538 0.558831i
\(50\) 2.09843 + 4.53835i 0.296763 + 0.641819i
\(51\) 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 0.436329 0.899787i \(-0.356278\pi\)
0.102269 + 0.994757i \(0.467390\pi\)
\(54\) 7.48767 8.92345i 1.01894 1.21433i
\(55\) 2.05478 + 6.55386i 0.277067 + 0.883722i
\(56\) −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 \(0.280059\pi\)
\(60\) 6.44092 + 2.68012i 0.831519 + 0.346002i
\(61\) −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
\(65\) −0.237553 + 5.24624i −0.0294648 + 0.650716i
\(66\) 8.29930 + 4.79161i 1.02157 + 0.589806i
\(67\) −6.59551 + 1.16297i −0.805770 + 0.142079i −0.561337 0.827587i \(-0.689713\pi\)
−0.244433 + 0.969666i \(0.578602\pi\)
\(68\) 0.849396 0.103004
\(69\) −12.4855 + 2.20153i −1.50308 + 0.265033i
\(70\) 2.09327 9.37044i 0.250194 1.11998i
\(71\) 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 \(0.305039\pi\)
−0.574906 + 0.818219i \(0.694961\pi\)
\(74\) −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 −0.310181 0.950678i \(-0.600390\pi\)
0.990097 + 0.140385i \(0.0448340\pi\)
\(84\) −6.69821 11.6016i −0.730835 1.26584i
\(85\) −1.88346 + 0.244865i −0.204290 + 0.0265593i
\(86\) −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 \(0.335868\pi\)
\(90\) −13.3670 + 6.93096i −1.40900 + 0.730587i
\(91\) 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
\(95\) −5.04369 9.72719i −0.517471 0.997989i
\(96\) 3.07249 + 0.541763i 0.313585 + 0.0552934i
\(97\) 2.11350 + 3.66068i 0.214593 + 0.371686i 0.953147 0.302509i \(-0.0978241\pi\)
−0.738554 + 0.674195i \(0.764491\pi\)
\(98\) −8.76155 + 7.35181i −0.885050 + 0.742645i
\(99\) −19.4362 + 7.07421i −1.95341 + 0.710984i
\(100\) −3.52409 3.54695i −0.352409 0.354695i
\(101\) 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 −0.981122 0.193390i \(-0.938052\pi\)
0.658041 + 0.752982i \(0.271385\pi\)
\(104\) 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 0.999852 0.0172065i \(-0.00547728\pi\)
−0.190568 + 0.981674i \(0.561033\pi\)
\(108\) −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 −0.874384 0.485235i \(-0.838734\pi\)
−0.357914 + 0.933754i \(0.616512\pi\)
\(114\) −14.3659 5.22877i −1.34549 0.489719i
\(115\) 8.86799 + 1.98103i 0.826944 + 0.184732i
\(116\) −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
\(120\) −6.96914 0.315567i −0.636193 0.0288072i
\(121\) 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
\(125\) 8.83685 + 6.84909i 0.790392 + 0.612602i
\(126\) 28.4744 + 5.02081i 2.53670 + 0.447290i
\(127\) 5.48175 + 0.966580i 0.486426 + 0.0857701i 0.411483 0.911418i \(-0.365011\pi\)
0.0749439 + 0.997188i \(0.476122\pi\)
\(128\) 0.766044 + 0.642788i 0.0677094 + 0.0568149i
\(129\) 4.96160 13.6319i 0.436845 1.20022i
\(130\) −1.57109 5.01110i −0.137794 0.439502i
\(131\) −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
\(135\) 5.67878 25.4208i 0.488752 2.18787i
\(136\) −0.798171 + 0.290511i −0.0684426 + 0.0249111i
\(137\) −5.08436 2.93546i −0.434386 0.250793i 0.266827 0.963744i \(-0.414025\pi\)
−0.701213 + 0.712951i \(0.747358\pi\)
\(138\) 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 \(0.760386\pi\)
\(140\) 1.23785 + 9.52128i 0.104617 + 0.804695i
\(141\) 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
\(145\) 14.3403 4.49600i 1.19090 0.373373i
\(146\) −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 \(0.565419\pi\)
\(150\) 15.5444 1.30933i 1.26919 0.106907i
\(151\) −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
\(155\) −1.78175 1.63798i −0.143114 0.131566i
\(156\) −6.34567 3.66367i −0.508060 0.293329i
\(157\) 15.9623 19.0231i 1.27393 1.51821i 0.534083 0.845432i \(-0.320657\pi\)
0.739846 0.672777i \(-0.234898\pi\)
\(158\) 6.40549 3.69821i 0.509593 0.294214i
\(159\) 6.21098 10.7577i 0.492563 0.853144i
\(160\) −1.88394 1.20449i −0.148938 0.0952229i
\(161\) −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 \(-0.724334\pi\)
0.869324 0.494243i \(-0.164555\pi\)
\(164\) −2.16328 + 12.2686i −0.168924 + 0.958015i
\(165\) 21.4068 + 0.969312i 1.66652 + 0.0754609i
\(166\) −3.29594 + 9.05551i −0.255814 + 0.702844i
\(167\) 8.69328 + 3.16410i 0.672707 + 0.244845i 0.655713 0.755010i \(-0.272368\pi\)
0.0169938 + 0.999856i \(0.494590\pi\)
\(168\) 10.2623 + 8.61105i 0.791750 + 0.664357i
\(169\) −1.29960 + 7.37041i −0.0999694 + 0.566955i
\(170\) 1.68612 0.874278i 0.129320 0.0670541i
\(171\) 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 0.831367 0.555723i \(-0.187559\pi\)
−0.994076 + 0.108684i \(0.965336\pi\)
\(174\) 10.4844 18.1594i 0.794817 1.37666i
\(175\) −5.48961 20.7557i −0.414976 1.56898i
\(176\) −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 \(-0.0702481\pi\)
\(180\) 10.1903 11.0847i 0.759541 0.826208i
\(181\) −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
\(185\) −4.38650 + 12.8747i −0.322502 + 0.946569i
\(186\) −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
\(190\) 8.06641 + 7.41553i 0.585199 + 0.537979i
\(191\) 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 \(0.391709\pi\)
−0.983230 + 0.182368i \(0.941624\pi\)
\(194\) −3.23806 2.71706i −0.232479 0.195073i
\(195\) 15.1271 + 6.29452i 1.08327 + 0.450760i
\(196\) 5.71870 9.90507i 0.408478 0.707505i
\(197\) 5.19898 + 14.2841i 0.370412 + 1.01770i 0.975203 + 0.221314i \(0.0710344\pi\)
−0.604791 + 0.796384i \(0.706743\pi\)
\(198\) 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 \(0.382397\pi\)
\(200\) 4.52468 + 2.12773i 0.319943 + 0.150453i
\(201\) −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
\(205\) 1.26007 27.8281i 0.0880073 1.94360i
\(206\) 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
\(210\) −25.2380 16.1358i −1.74159 1.11348i
\(211\) −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
\(215\) −7.03662 + 7.65425i −0.479894 + 0.522015i
\(216\) 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
\(220\) 5.78680 + 3.69976i 0.390146 + 0.249438i
\(221\) 1.99489 0.134191
\(222\) 7.65173 + 17.3666i 0.513550 + 1.16557i
\(223\) 8.02784i 0.537584i 0.963198 + 0.268792i \(0.0866244\pi\)
−0.963198 + 0.268792i \(0.913376\pi\)
\(224\) 1.46859 + 4.03493i 0.0981245 + 0.269595i
\(225\) −19.4005 + 27.5171i −1.29337 + 1.83447i
\(226\) 10.6788 8.96059i 0.710344 0.596050i
\(227\) −3.01681 17.1092i −0.200233 1.13558i −0.904767 0.425906i \(-0.859955\pi\)
0.704535 0.709670i \(-0.251156\pi\)
\(228\) 15.2879 1.01247
\(229\) −2.29183 12.9976i −0.151448 0.858906i −0.961961 0.273185i \(-0.911923\pi\)
0.810513 0.585720i \(-0.199188\pi\)
\(230\) −9.01074 + 1.17147i −0.594150 + 0.0772445i
\(231\) −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 0.487680 0.873023i \(-0.337843\pi\)
−0.512220 + 0.858854i \(0.671177\pi\)
\(234\) 14.8610 5.40896i 0.971493 0.353594i
\(235\) 0.143099 0.640577i 0.00933477 0.0417867i
\(236\) 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 \(0.252659\pi\)
\(240\) 6.65678 2.08705i 0.429693 0.134719i
\(241\) −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
\(245\) −9.82523 + 23.6122i −0.627711 + 1.50853i
\(246\) −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
\(250\) −10.6465 3.41366i −0.673341 0.215899i
\(251\) −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
\(255\) −1.29189 + 5.78309i −0.0809013 + 0.362151i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) 14.1894 5.16450i 0.885108 0.322153i 0.140839 0.990033i \(-0.455020\pi\)
0.744269 + 0.667880i \(0.232798\pi\)
\(258\) 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 0.785670 0.618646i \(-0.212318\pi\)
−0.745677 + 0.666307i \(0.767874\pi\)
\(264\) 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 \(-0.430208\pi\)
\(270\) 3.35812 + 25.8300i 0.204368 + 1.57196i
\(271\) −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
\(275\) −13.8983 6.53565i −0.838096 0.394114i
\(276\) −8.14932 + 9.71198i −0.490532 + 0.584593i
\(277\) −4.00408 1.45736i −0.240582 0.0875646i 0.218915 0.975744i \(-0.429748\pi\)
−0.459497 + 0.888179i \(0.651970\pi\)
\(278\) 2.65024 + 0.964609i 0.158951 + 0.0578534i
\(279\) 4.68486 5.58320i 0.280475 0.334257i
\(280\) −4.41966 8.52370i −0.264125 0.509389i
\(281\) 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 −0.803121 0.595816i \(-0.796829\pi\)
0.447303 + 0.894382i \(0.352384\pi\)
\(284\) 12.1478 4.42144i 0.720840 0.262364i
\(285\) −33.8995 + 4.40722i −2.00803 + 0.261061i
\(286\) 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 −0.800044 0.599941i \(-0.795191\pi\)
0.998504 + 0.0546769i \(0.0174129\pi\)
\(294\) 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
\(300\) −14.1591 + 6.54687i −0.817478 + 0.377984i
\(301\) 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
\(305\) 2.88099 + 0.130453i 0.164965 + 0.00746973i
\(306\) 2.85979 + 4.95330i 0.163483 + 0.283161i
\(307\) −6.74516 3.89432i −0.384966 0.222260i 0.295011 0.955494i \(-0.404677\pi\)
−0.679977 + 0.733234i \(0.738010\pi\)
\(308\) −4.51101 12.3939i −0.257038 0.706207i
\(309\) 13.1512 + 15.6730i 0.748147 + 0.891607i
\(310\) 2.23452 + 0.929802i 0.126912 + 0.0528092i
\(311\) −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 0.964778 0.263064i \(-0.0847331\pi\)
−0.0915358 + 0.995802i \(0.529178\pi\)
\(314\) −8.49335 + 23.3353i −0.479307 + 1.31689i
\(315\) 61.6920 19.3418i 3.47595 1.08979i
\(316\) −4.75433 + 5.66599i −0.267452 + 0.318737i
\(317\) 8.18716 + 1.44362i 0.459836 + 0.0810816i 0.398768 0.917052i \(-0.369438\pi\)
0.0610688 + 0.998134i \(0.480549\pi\)
\(318\) −2.15705 + 12.2333i −0.120961 + 0.686007i
\(319\) −17.8787 + 10.3223i −1.00101 + 0.577936i
\(320\) 2.18228 + 0.487502i 0.121993 + 0.0272522i
\(321\) 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
\(325\) −8.27664 8.33033i −0.459105 0.462084i
\(326\) 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
\(330\) −20.4473 + 6.41069i −1.12559 + 0.352897i
\(331\) −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
\(335\) 8.06675 12.6172i 0.440734 0.689352i
\(336\) −12.5885 4.58185i −0.686760 0.249960i
\(337\) 6.92421 + 8.25195i 0.377186 + 0.449512i 0.920924 0.389743i \(-0.127436\pi\)
−0.543738 + 0.839255i \(0.682992\pi\)
\(338\) −1.29960 7.37041i −0.0706891 0.400898i
\(339\) 43.4919i 2.36216i
\(340\) −1.28542 + 1.39824i −0.0697114 + 0.0758302i
\(341\) 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
\(345\) 15.2706 23.8847i 0.822140 1.28591i
\(346\) 4.02208 + 4.79333i 0.216228 + 0.257691i
\(347\) −16.5449 28.6566i −0.888175 1.53836i −0.842030 0.539430i \(-0.818640\pi\)
−0.0461450 0.998935i \(-0.514694\pi\)
\(348\) −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 \(-0.0890493\pi\)
\(350\) 12.2574 + 17.6264i 0.655186 + 0.942172i
\(351\) −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 \(-0.938273\pi\)
−0.360174 0.932885i \(-0.617283\pi\)
\(354\) −6.33706 + 35.9393i −0.336811 + 1.91015i
\(355\) −25.6620 + 13.3061i −1.36200 + 0.706216i
\(356\) 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 \(0.313516\pi\)
\(360\) −5.78455 + 13.9015i −0.304873 + 0.732675i
\(361\) −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
\(365\) −23.0162 21.1590i −1.20472 1.10751i
\(366\) 3.08244 2.58648i 0.161122 0.135197i
\(367\) −1.95889 + 5.38201i −0.102253 + 0.280939i −0.980261 0.197708i \(-0.936650\pi\)
0.878008 + 0.478647i \(0.158872\pi\)
\(368\) −3.81857 + 1.38985i −0.199057 + 0.0724507i
\(369\) 83.8874 4.36700
\(370\) −0.281454 13.5986i −0.0146321 0.706955i
\(371\) 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 \(-0.613724\pi\)
0.870101 0.492874i \(-0.164054\pi\)
\(374\) −1.99865 + 1.67706i −0.103348 + 0.0867189i
\(375\) 29.5092 18.5989i 1.52385 0.960442i
\(376\) 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 \(0.734511\pi\)
\(380\) −10.1162 4.20944i −0.518950 0.215940i
\(381\) 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 −0.881823 0.471580i \(-0.843684\pi\)
0.311288 + 0.950316i \(0.399240\pi\)
\(384\) 2.70190 1.55994i 0.137881 0.0796056i
\(385\) 13.5757 + 26.1819i 0.691880 + 1.33435i
\(386\) 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 \(0.140269\pi\)
\(390\) −16.3677 0.741139i −0.828809 0.0375290i
\(391\) 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
\(395\) 8.90888 13.9344i 0.448254 0.701115i
\(396\) −10.3418 + 17.9125i −0.519695 + 0.900138i
\(397\) 13.0598 7.54005i 0.655450 0.378424i −0.135091 0.990833i \(-0.543133\pi\)
0.790541 + 0.612409i \(0.209799\pi\)
\(398\) 2.78427 3.31816i 0.139563 0.166324i
\(399\) 56.8497 + 32.8222i 2.84604 + 1.64316i
\(400\) −4.97954 0.451880i −0.248977 0.0225940i
\(401\) 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
\(405\) −30.4098 19.4424i −1.51108 0.966100i
\(406\) 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 \(0.824301\pi\)
\(410\) 8.33368 + 26.5808i 0.411571 + 1.31273i
\(411\) −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
\(415\) 2.77807 + 21.3684i 0.136370 + 1.04893i
\(416\) 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 \(0.355972\pi\)
\(420\) 29.2347 + 6.53078i 1.42651 + 0.318670i
\(421\) −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
\(425\) 2.44720 3.47103i 0.118707 0.168370i
\(426\) −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
\(430\) 3.99435 9.59931i 0.192625 0.462920i
\(431\) 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 0.661584 0.749871i \(-0.269884\pi\)
−0.318615 + 0.947884i \(0.603218\pi\)
\(434\) −2.32378 4.02490i −0.111545 0.193201i
\(435\) 2.12092 46.8395i 0.101690 2.24578i
\(436\) −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 \(0.217394\pi\)
\(440\) −6.70320 1.49744i −0.319563 0.0713875i
\(441\) −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 \(-0.950872\pi\)
0.988113 0.153727i \(-0.0491276\pi\)
\(444\) −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
\(455\) 2.90719 + 22.3616i 0.136291 + 1.04833i
\(456\) −14.3659 + 5.22877i −0.672746 + 0.244860i
\(457\) −31.6523 + 26.5595i −1.48063 + 1.24240i −0.575128 + 0.818063i \(0.695048\pi\)
−0.905505 + 0.424336i \(0.860508\pi\)
\(458\) 6.59906 + 11.4299i 0.308354 + 0.534084i
\(459\) −9.74408 1.71814i −0.454814 0.0801961i
\(460\) 8.06666 4.18268i 0.376110 0.195018i
\(461\) 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 −0.330702 0.943735i \(-0.607285\pi\)
−0.859954 + 0.510372i \(0.829508\pi\)
\(464\) −4.32016 + 5.14857i −0.200559 + 0.239016i
\(465\) −6.70336 + 3.47579i −0.310861 + 0.161186i
\(466\) 0.425962 + 0.0751085i 0.0197323 + 0.00347934i
\(467\) 11.2813 + 19.5398i 0.522036 + 0.904194i 0.999671 + 0.0256351i \(0.00816081\pi\)
−0.477635 + 0.878558i \(0.658506\pi\)
\(468\) −12.1148 + 10.1655i −0.560006 + 0.469901i
\(469\) −27.0229 + 9.83555i −1.24780 + 0.454163i
\(470\) 0.0846210 + 0.650889i 0.00390327 + 0.0300233i
\(471\) −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
\(485\) −9.22448 2.06067i −0.418862 0.0935701i
\(486\) −15.1798 + 2.67660i −0.688569 + 0.121413i
\(487\) 9.87486 0.447473 0.223736 0.974650i \(-0.428175\pi\)
0.223736 + 0.974650i \(0.428175\pi\)
\(488\) 1.27015 0.223961i 0.0574968 0.0101382i
\(489\) −43.9950 25.4005i −1.98952 1.14865i
\(490\) 1.15686 25.5486i 0.0522615 1.15417i
\(491\) 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
\(495\) 17.7681 42.7007i 0.798618 1.91925i
\(496\) 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 \(0.828292\pi\)
\(500\) 11.1719 0.433507i 0.499624 0.0193870i
\(501\) 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 \(-0.832710\pi\)
0.984466 0.175577i \(-0.0561791\pi\)
\(504\) 25.0400 14.4569i 1.11537 0.643959i
\(505\) −16.0601 3.58769i −0.714666 0.159650i
\(506\) 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 \(0.479894\pi\)
\(510\) −0.763952 5.87617i −0.0338284 0.260201i
\(511\) 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
\(515\) −4.38686 13.9922i −0.193308 0.616568i
\(516\) −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
\(520\) −4.42460 2.82885i −0.194031 0.124053i
\(521\) −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 \(0.0281758\pi\)
−0.905779 + 0.423751i \(0.860713\pi\)
\(524\) 15.2798i 0.667501i
\(525\) −66.7080 6.05357i −2.91138 0.264200i
\(526\) −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
\(530\) 4.79571 7.50097i 0.208312 0.325821i
\(531\) −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
\(535\) −29.0915 1.31728i −1.25773 0.0569510i
\(536\) 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
\(540\) −11.9900 23.1237i −0.515966 0.995086i
\(541\) −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
\(545\) 22.4664 + 9.34846i 0.962354 + 0.400444i
\(546\) 24.1019 + 20.2239i 1.03146 + 0.865501i
\(547\) 7.32539 12.6880i 0.313211 0.542498i −0.665844 0.746091i \(-0.731929\pi\)
0.979056 + 0.203593i \(0.0652619\pi\)
\(548\) −5.78172 + 1.01947i −0.246983 + 0.0435497i
\(549\) 8.68472i 0.370655i
\(550\) 15.2954 + 1.38802i 0.652198 + 0.0591853i
\(551\) 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
\(555\) 33.0646 + 26.5982i 1.40352 + 1.12903i
\(556\) −2.82033 −0.119609
\(557\) −4.57236 + 1.66420i −0.193737 + 0.0705145i −0.437067 0.899429i \(-0.643983\pi\)
0.243330 + 0.969944i \(0.421760\pi\)
\(558\) −2.49276 + 6.84881i −0.105527 + 0.289933i
\(559\) 8.36551 7.01950i 0.353824 0.296893i
\(560\) 7.06840 + 6.49805i 0.298695 + 0.274593i
\(561\) 8.13994i 0.343669i
\(562\) −12.3341 + 2.17483i −0.520281 + 0.0917396i
\(563\) 5.41494 9.37895i 0.228213 0.395276i −0.729066 0.684444i \(-0.760045\pi\)
0.957278 + 0.289168i \(0.0933786\pi\)
\(564\) 0.701543 + 0.588665i 0.0295403 + 0.0247873i
\(565\) 11.9753 28.7792i 0.503803 1.21075i
\(566\) 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 \(0.244949\pi\)
\(570\) 30.3477 15.7357i 1.27113 0.659098i
\(571\) −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
\(575\) −16.6813 + 11.6002i −0.695657 + 0.483760i
\(576\) −1.16930 + 6.63140i −0.0487206 + 0.276308i
\(577\) 4.48070 25.4113i 0.186534 1.05789i −0.737435 0.675418i \(-0.763963\pi\)
0.923969 0.382468i \(-0.124926\pi\)
\(578\) 8.13926 + 14.0976i 0.338549 + 0.586384i
\(579\) 36.1933 + 43.1335i 1.50414 + 1.79257i
\(580\) 8.09533 12.6619i 0.336140 0.525757i
\(581\) 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
\(585\) 23.9329 26.0335i 0.989503 1.07635i
\(586\) 9.93242i 0.410304i
\(587\) 2.28471 + 12.9572i 0.0942999 + 0.534802i 0.994960 + 0.100276i \(0.0319727\pi\)
−0.900660 + 0.434525i \(0.856916\pi\)
\(588\) −22.9368 27.3351i −0.945899 1.12728i
\(589\) −4.98390 1.81399i −0.205358 0.0747442i
\(590\) 14.0890 22.0366i 0.580035 0.907233i
\(591\) 47.4248 1.95079
\(592\) −1.44871 5.90773i −0.0595415 0.242806i
\(593\) 8.00566i 0.328753i −0.986398 0.164377i \(-0.947439\pi\)
0.986398 0.164377i \(-0.0525612\pi\)
\(594\) −12.2378 33.6230i −0.502122 1.37957i
\(595\) −7.78189 + 2.43980i −0.319026 + 0.100022i
\(596\) −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 \(0.922045\pi\)
\(600\) 11.0661 10.9948i 0.451771 0.448859i
\(601\) 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
\(605\) −3.41517 0.762918i −0.138846 0.0310170i
\(606\) −19.8842 + 11.4802i −0.807741 + 0.466349i
\(607\) 1.37416 7.79326i 0.0557755 0.316319i −0.944137 0.329553i \(-0.893102\pi\)
0.999912 + 0.0132349i \(0.00421291\pi\)
\(608\) −4.82570 0.850901i −0.195708 0.0345086i
\(609\) −57.8747 + 68.9724i −2.34520 + 2.79490i
\(610\) −2.75186 + 0.862772i −0.111420 + 0.0349326i
\(611\) −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 −0.444424 0.895817i \(-0.646592\pi\)
−0.724009 + 0.689790i \(0.757703\pi\)
\(614\) 7.67031 + 1.35248i 0.309548 + 0.0545817i
\(615\) −80.2400 33.3886i −3.23559 1.34636i
\(616\) 8.47792 + 10.1036i 0.341585 + 0.407085i
\(617\) −6.39279 17.5640i −0.257364 0.707102i −0.999328 0.0366616i \(-0.988328\pi\)
0.741964 0.670440i \(-0.233895\pi\)
\(618\) −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 \(0.589183\pi\)
\(620\) −2.41777 0.109478i −0.0971000 0.00439675i
\(621\) 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
\(625\) −24.6477 + 4.18192i −0.985910 + 0.167277i
\(626\) −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
\(640\) −2.21741 + 0.288281i −0.0876507 + 0.0113953i
\(641\) −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 0.903332 0.428943i \(-0.141114\pi\)
−0.823141 + 0.567837i \(0.807781\pi\)
\(644\) −17.1837 3.02995i −0.677132 0.119397i
\(645\) 14.9317 + 28.7971i 0.587935 + 1.13388i
\(646\) 2.67539 3.18840i 0.105262 0.125446i
\(647\) −28.4936 10.3708i −1.12020 0.407719i −0.285474 0.958386i \(-0.592151\pi\)
−0.834725 + 0.550668i \(0.814373\pi\)
\(648\) −15.1682 5.52077i −0.595863 0.216876i
\(649\) 23.0950 27.5236i 0.906559 1.08039i
\(650\) 10.6266 + 4.99717i 0.416811 + 0.196005i
\(651\) 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 −0.955255 0.295783i \(-0.904419\pi\)
0.125411 + 0.992105i \(0.459975\pi\)
\(654\) 31.9043 11.6122i 1.24756 0.454073i
\(655\) −4.40488 33.8815i −0.172113 1.32386i
\(656\) 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
\(670\) −3.26493 + 14.6153i −0.126135 + 0.564638i
\(671\) −3.90144 + 0.687930i −0.150614 + 0.0265572i
\(672\) 13.3964 0.516778
\(673\) 19.1947 3.38454i 0.739901 0.130464i 0.209020 0.977911i \(-0.432973\pi\)
0.530880 + 0.847447i \(0.321861\pi\)
\(674\) −9.32896 5.38608i −0.359338 0.207464i
\(675\) 33.2528 + 47.8182i 1.27990 + 1.84052i
\(676\) 3.74206 + 6.48143i 0.143925 + 0.249286i
\(677\) 14.6915 + 8.48214i 0.564640 + 0.325995i 0.755006 0.655718i \(-0.227634\pi\)
−0.190366 + 0.981713i \(0.560967\pi\)
\(678\) −14.8751 40.8690i −0.571275 1.56956i
\(679\) 11.6667 + 13.9039i 0.447728 + 0.533581i
\(680\) 0.729669 1.75355i 0.0279815 0.0672457i
\(681\) −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 0.544639 0.838671i \(-0.316667\pi\)
−0.731354 + 0.681998i \(0.761111\pi\)
\(684\) 11.2853 31.0062i 0.431506 1.18555i
\(685\) 12.5265 3.92735i 0.478614 0.150056i
\(686\) −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
\(690\) −6.18060 + 27.6671i −0.235291 + 1.05327i
\(691\) −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
\(695\) 6.25382 0.813048i 0.237221 0.0308407i
\(696\) −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
\(700\) −17.5468 12.3711i −0.663206 0.467585i
\(701\) −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
\(705\) −1.72531 1.10307i −0.0649788 0.0415439i
\(706\) 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 \(-0.148005\pi\)
\(710\) 19.5635 21.2806i 0.734204 0.798647i
\(711\) 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
\(715\) 13.5908 + 8.68923i 0.508268 + 0.324959i
\(716\) −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 \(0.00718501\pi\)
\(720\) 0.681093 15.0416i 0.0253829 0.560568i
\(721\) −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
\(725\) −14.3004 + 30.4103i −0.531105 + 1.12941i
\(726\) −4.22835 + 2.44124i −0.156929 + 0.0906029i
\(727\) 11.5610 9.70086i 0.428775 0.359785i −0.402714 0.915326i \(-0.631933\pi\)
0.831489 + 0.555541i \(0.187489\pi\)
\(728\) 3.44913 + 9.47640i 0.127833 + 0.351219i
\(729\) −0.167583 + 0.290263i −0.00620680 + 0.0107505i
\(730\) 28.8649 + 12.0109i 1.06834 + 0.444545i
\(731\) 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 −0.170803 0.985305i \(-0.554636\pi\)
0.176491 + 0.984302i \(0.443525\pi\)
\(734\) 5.72742i 0.211403i
\(735\) 58.7405 + 54.0007i 2.16668 + 1.99185i
\(736\) 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 \(0.708696\pi\)
\(740\) 4.91546 + 12.6822i 0.180696 + 0.466207i
\(741\) 35.9050 1.31900
\(742\) −16.0652 + 5.84726i −0.589773 + 0.214660i
\(743\) −1.56280 + 4.29376i −0.0573336 + 0.157523i −0.965053 0.262055i \(-0.915600\pi\)
0.907719 + 0.419578i \(0.137822\pi\)
\(744\) −2.58683 + 2.17061i −0.0948378 + 0.0795784i
\(745\) 7.53962 8.20140i 0.276230 0.300476i
\(746\) 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
\(750\) −21.3684 + 27.5700i −0.780264 + 1.00671i
\(751\) −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
\(755\) 15.4953 8.03456i 0.563933 0.292407i
\(756\) −8.68558 + 49.2584i −0.315892 + 1.79151i
\(757\) −26.8630 22.5407i −0.976352 0.819257i 0.00718280 0.999974i \(-0.497714\pi\)
−0.983535 + 0.180717i \(0.942158\pi\)
\(758\) 1.41216 + 0.513983i 0.0512918 + 0.0186687i
\(759\) −13.3192 + 36.5942i −0.483456 + 1.32828i
\(760\) 10.9458 + 0.495634i 0.397047 + 0.0179785i
\(761\) 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
\(765\) 10.7753 + 6.88915i 0.389583 + 0.249078i
\(766\) 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 \(0.822139\pi\)
\(770\) −21.7117 19.9597i −0.782434 0.719299i
\(771\) 47.1103i 1.69664i
\(772\) 3.13395 + 17.7735i 0.112793 + 0.639682i