Properties

Label 300.2.n.a.11.12
Level $300$
Weight $2$
Character 300.11
Analytic conductor $2.396$
Analytic rank $0$
Dimension $224$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 300.n (of order \(10\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.39551206064\)
Analytic rank: \(0\)
Dimension: \(224\)
Relative dimension: \(56\) over \(\Q(\zeta_{10})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 11.12
Character \(\chi\) \(=\) 300.11
Dual form 300.2.n.a.191.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.03327 - 0.965583i) q^{2} +(0.539210 + 1.64598i) q^{3} +(0.135297 + 1.99542i) q^{4} +(-1.86451 - 1.23434i) q^{5} +(1.03218 - 2.22140i) q^{6} -3.63805i q^{7} +(1.78694 - 2.19245i) q^{8} +(-2.41850 + 1.77506i) q^{9} +O(q^{10})\) \(q+(-1.03327 - 0.965583i) q^{2} +(0.539210 + 1.64598i) q^{3} +(0.135297 + 1.99542i) q^{4} +(-1.86451 - 1.23434i) q^{5} +(1.03218 - 2.22140i) q^{6} -3.63805i q^{7} +(1.78694 - 2.19245i) q^{8} +(-2.41850 + 1.77506i) q^{9} +(0.734688 + 3.07575i) q^{10} +(2.73750 - 1.98891i) q^{11} +(-3.21147 + 1.29865i) q^{12} +(-1.11419 - 0.809509i) q^{13} +(-3.51284 + 3.75909i) q^{14} +(1.02633 - 3.73452i) q^{15} +(-3.96339 + 0.539948i) q^{16} +(5.90773 - 1.91954i) q^{17} +(4.21294 + 0.501150i) q^{18} +(4.04058 - 1.31286i) q^{19} +(2.21076 - 3.88748i) q^{20} +(5.98816 - 1.96167i) q^{21} +(-4.74904 - 0.588203i) q^{22} +(4.33594 - 3.15025i) q^{23} +(4.57227 + 1.75909i) q^{24} +(1.95281 + 4.60288i) q^{25} +(0.369615 + 1.91229i) q^{26} +(-4.22580 - 3.02368i) q^{27} +(7.25943 - 0.492217i) q^{28} +(-7.29480 - 2.37022i) q^{29} +(-4.66647 + 2.86776i) q^{30} +(-2.22013 + 0.721365i) q^{31} +(4.61662 + 3.26907i) q^{32} +(4.74980 + 3.43343i) q^{33} +(-7.95776 - 3.72101i) q^{34} +(-4.49059 + 6.78319i) q^{35} +(-3.86920 - 4.58577i) q^{36} +(-0.973928 - 0.707600i) q^{37} +(-5.44270 - 2.54497i) q^{38} +(0.731652 - 2.27044i) q^{39} +(-6.03801 + 1.88215i) q^{40} +(-2.55427 + 3.51565i) q^{41} +(-8.08155 - 3.75513i) q^{42} -7.53490i q^{43} +(4.33909 + 5.19337i) q^{44} +(6.70036 - 0.324366i) q^{45} +(-7.52203 - 0.931657i) q^{46} +(1.07220 - 3.29990i) q^{47} +(-3.02585 - 6.23252i) q^{48} -6.23541 q^{49} +(2.42668 - 6.64163i) q^{50} +(6.34504 + 8.68898i) q^{51} +(1.46456 - 2.33281i) q^{52} +(-6.24137 - 2.02794i) q^{53} +(1.44678 + 7.20464i) q^{54} +(-7.55910 + 0.329343i) q^{55} +(-7.97624 - 6.50099i) q^{56} +(4.33967 + 5.94281i) q^{57} +(5.24886 + 9.49282i) q^{58} +(5.35774 + 3.89263i) q^{59} +(7.59079 + 1.54270i) q^{60} +(-7.39729 + 5.37444i) q^{61} +(2.99054 + 1.39836i) q^{62} +(6.45776 + 8.79864i) q^{63} +(-1.61366 - 7.83557i) q^{64} +(1.07822 + 2.88463i) q^{65} +(-1.59256 - 8.13400i) q^{66} +(-3.34687 + 1.08746i) q^{67} +(4.62958 + 11.5287i) q^{68} +(7.52323 + 5.43823i) q^{69} +(11.1897 - 2.67283i) q^{70} +(-0.0828149 + 0.254878i) q^{71} +(-0.430006 + 8.47438i) q^{72} +(4.70101 - 3.41548i) q^{73} +(0.323084 + 1.67155i) q^{74} +(-6.52328 + 5.69621i) q^{75} +(3.16639 + 7.88503i) q^{76} +(-7.23576 - 9.95917i) q^{77} +(-2.94829 + 1.63951i) q^{78} +(13.3984 + 4.35339i) q^{79} +(8.05627 + 3.88543i) q^{80} +(2.69832 - 8.58598i) q^{81} +(6.03391 - 1.16626i) q^{82} +(4.28851 + 13.1987i) q^{83} +(4.72454 + 11.6835i) q^{84} +(-13.3844 - 3.71315i) q^{85} +(-7.27557 + 7.78559i) q^{86} +(-0.0320895 - 13.2852i) q^{87} +(0.531179 - 9.55591i) q^{88} +(-0.544972 - 0.750090i) q^{89} +(-7.23649 - 6.13460i) q^{90} +(-2.94504 + 4.05349i) q^{91} +(6.87270 + 8.22580i) q^{92} +(-2.38447 - 3.26533i) q^{93} +(-4.29420 + 2.37439i) q^{94} +(-9.15424 - 2.53960i) q^{95} +(-2.89150 + 9.36158i) q^{96} +(2.81383 - 8.66007i) q^{97} +(6.44286 + 6.02081i) q^{98} +(-3.09022 + 9.66943i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 224q - 6q^{4} + q^{6} - 6q^{9} + O(q^{10}) \) \( 224q - 6q^{4} + q^{6} - 6q^{9} - 8q^{10} - 9q^{12} - 12q^{13} - 18q^{16} - 26q^{18} + 12q^{21} - 6q^{22} - 16q^{24} - 12q^{25} + 2q^{28} - 13q^{30} + 6q^{33} - 30q^{34} + 35q^{36} + 12q^{37} - 24q^{40} - 13q^{42} - 6q^{45} - 18q^{46} - 34q^{48} - 168q^{49} - 28q^{52} - 38q^{54} - 44q^{57} - 34q^{58} - 76q^{60} + 4q^{61} + 18q^{64} - 46q^{66} - 18q^{69} + 72q^{70} - 29q^{72} - 20q^{73} + 16q^{76} + 5q^{78} - 30q^{81} - 20q^{82} - 18q^{84} - 76q^{85} + 6q^{88} + 2q^{90} - 52q^{93} + 96q^{94} - 50q^{96} - 72q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(151\) \(277\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{4}{5}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.03327 0.965583i −0.730633 0.682771i
\(3\) 0.539210 + 1.64598i 0.311313 + 0.950307i
\(4\) 0.135297 + 1.99542i 0.0676485 + 0.997709i
\(5\) −1.86451 1.23434i −0.833835 0.552013i
\(6\) 1.03218 2.22140i 0.421386 0.906881i
\(7\) 3.63805i 1.37505i −0.726159 0.687527i \(-0.758696\pi\)
0.726159 0.687527i \(-0.241304\pi\)
\(8\) 1.78694 2.19245i 0.631780 0.775147i
\(9\) −2.41850 + 1.77506i −0.806168 + 0.591687i
\(10\) 0.734688 + 3.07575i 0.232329 + 0.972637i
\(11\) 2.73750 1.98891i 0.825388 0.599680i −0.0928626 0.995679i \(-0.529602\pi\)
0.918251 + 0.395999i \(0.129602\pi\)
\(12\) −3.21147 + 1.29865i −0.927070 + 0.374887i
\(13\) −1.11419 0.809509i −0.309022 0.224518i 0.422455 0.906384i \(-0.361169\pi\)
−0.731477 + 0.681866i \(0.761169\pi\)
\(14\) −3.51284 + 3.75909i −0.938846 + 1.00466i
\(15\) 1.02633 3.73452i 0.264998 0.964249i
\(16\) −3.96339 + 0.539948i −0.990847 + 0.134987i
\(17\) 5.90773 1.91954i 1.43284 0.465557i 0.513180 0.858281i \(-0.328467\pi\)
0.919656 + 0.392725i \(0.128467\pi\)
\(18\) 4.21294 + 0.501150i 0.992999 + 0.118122i
\(19\) 4.04058 1.31286i 0.926973 0.301192i 0.193649 0.981071i \(-0.437968\pi\)
0.733324 + 0.679879i \(0.237968\pi\)
\(20\) 2.21076 3.88748i 0.494341 0.869268i
\(21\) 5.98816 1.96167i 1.30672 0.428072i
\(22\) −4.74904 0.588203i −1.01250 0.125405i
\(23\) 4.33594 3.15025i 0.904107 0.656872i −0.0354109 0.999373i \(-0.511274\pi\)
0.939517 + 0.342501i \(0.111274\pi\)
\(24\) 4.57227 + 1.75909i 0.933310 + 0.359072i
\(25\) 1.95281 + 4.60288i 0.390562 + 0.920576i
\(26\) 0.369615 + 1.91229i 0.0724875 + 0.375031i
\(27\) −4.22580 3.02368i −0.813255 0.581907i
\(28\) 7.25943 0.492217i 1.37190 0.0930203i
\(29\) −7.29480 2.37022i −1.35461 0.440140i −0.460370 0.887727i \(-0.652283\pi\)
−0.894240 + 0.447587i \(0.852283\pi\)
\(30\) −4.66647 + 2.86776i −0.851977 + 0.523579i
\(31\) −2.22013 + 0.721365i −0.398748 + 0.129561i −0.501524 0.865143i \(-0.667227\pi\)
0.102777 + 0.994704i \(0.467227\pi\)
\(32\) 4.61662 + 3.26907i 0.816111 + 0.577895i
\(33\) 4.74980 + 3.43343i 0.826834 + 0.597684i
\(34\) −7.95776 3.72101i −1.36475 0.638147i
\(35\) −4.49059 + 6.78319i −0.759048 + 1.14657i
\(36\) −3.86920 4.58577i −0.644867 0.764295i
\(37\) −0.973928 0.707600i −0.160113 0.116329i 0.504844 0.863211i \(-0.331550\pi\)
−0.664957 + 0.746882i \(0.731550\pi\)
\(38\) −5.44270 2.54497i −0.882922 0.412849i
\(39\) 0.731652 2.27044i 0.117158 0.363561i
\(40\) −6.03801 + 1.88215i −0.954693 + 0.297594i
\(41\) −2.55427 + 3.51565i −0.398910 + 0.549053i −0.960470 0.278383i \(-0.910201\pi\)
0.561560 + 0.827436i \(0.310201\pi\)
\(42\) −8.08155 3.75513i −1.24701 0.579429i
\(43\) 7.53490i 1.14906i −0.818483 0.574531i \(-0.805185\pi\)
0.818483 0.574531i \(-0.194815\pi\)
\(44\) 4.33909 + 5.19337i 0.654142 + 0.782930i
\(45\) 6.70036 0.324366i 0.998830 0.0483536i
\(46\) −7.52203 0.931657i −1.10906 0.137365i
\(47\) 1.07220 3.29990i 0.156397 0.481340i −0.841903 0.539629i \(-0.818565\pi\)
0.998300 + 0.0582893i \(0.0185646\pi\)
\(48\) −3.02585 6.23252i −0.436743 0.899586i
\(49\) −6.23541 −0.890773
\(50\) 2.42668 6.64163i 0.343185 0.939268i
\(51\) 6.34504 + 8.68898i 0.888483 + 1.21670i
\(52\) 1.46456 2.33281i 0.203098 0.323502i
\(53\) −6.24137 2.02794i −0.857317 0.278559i −0.152810 0.988256i \(-0.548832\pi\)
−0.704508 + 0.709696i \(0.748832\pi\)
\(54\) 1.44678 + 7.20464i 0.196881 + 0.980427i
\(55\) −7.55910 + 0.329343i −1.01927 + 0.0444086i
\(56\) −7.97624 6.50099i −1.06587 0.868732i
\(57\) 4.33967 + 5.94281i 0.574804 + 0.787144i
\(58\) 5.24886 + 9.49282i 0.689208 + 1.24647i
\(59\) 5.35774 + 3.89263i 0.697519 + 0.506777i 0.879123 0.476595i \(-0.158129\pi\)
−0.181604 + 0.983372i \(0.558129\pi\)
\(60\) 7.59079 + 1.54270i 0.979967 + 0.199161i
\(61\) −7.39729 + 5.37444i −0.947125 + 0.688127i −0.950125 0.311869i \(-0.899045\pi\)
0.00299982 + 0.999996i \(0.499045\pi\)
\(62\) 2.99054 + 1.39836i 0.379799 + 0.177592i
\(63\) 6.45776 + 8.79864i 0.813601 + 1.10852i
\(64\) −1.61366 7.83557i −0.201707 0.979446i
\(65\) 1.07822 + 2.88463i 0.133737 + 0.357795i
\(66\) −1.59256 8.13400i −0.196031 1.00123i
\(67\) −3.34687 + 1.08746i −0.408885 + 0.132855i −0.506235 0.862395i \(-0.668963\pi\)
0.0973503 + 0.995250i \(0.468963\pi\)
\(68\) 4.62958 + 11.5287i 0.561419 + 1.39806i
\(69\) 7.52323 + 5.43823i 0.905691 + 0.654686i
\(70\) 11.1897 2.67283i 1.33743 0.319465i
\(71\) −0.0828149 + 0.254878i −0.00982832 + 0.0302485i −0.955850 0.293854i \(-0.905062\pi\)
0.946022 + 0.324102i \(0.105062\pi\)
\(72\) −0.430006 + 8.47438i −0.0506767 + 0.998715i
\(73\) 4.70101 3.41548i 0.550212 0.399752i −0.277652 0.960682i \(-0.589556\pi\)
0.827863 + 0.560930i \(0.189556\pi\)
\(74\) 0.323084 + 1.67155i 0.0375578 + 0.194314i
\(75\) −6.52328 + 5.69621i −0.753243 + 0.657742i
\(76\) 3.16639 + 7.88503i 0.363210 + 0.904474i
\(77\) −7.23576 9.95917i −0.824592 1.13495i
\(78\) −2.94829 + 1.63951i −0.333828 + 0.185638i
\(79\) 13.3984 + 4.35339i 1.50743 + 0.489795i 0.942176 0.335119i \(-0.108777\pi\)
0.565258 + 0.824914i \(0.308777\pi\)
\(80\) 8.05627 + 3.88543i 0.900718 + 0.434404i
\(81\) 2.69832 8.58598i 0.299814 0.953998i
\(82\) 6.03391 1.16626i 0.666334 0.128792i
\(83\) 4.28851 + 13.1987i 0.470725 + 1.44874i 0.851638 + 0.524131i \(0.175610\pi\)
−0.380913 + 0.924611i \(0.624390\pi\)
\(84\) 4.72454 + 11.6835i 0.515490 + 1.27477i
\(85\) −13.3844 3.71315i −1.45174 0.402747i
\(86\) −7.27557 + 7.78559i −0.784545 + 0.839542i
\(87\) −0.0320895 13.2852i −0.00344035 1.42432i
\(88\) 0.531179 9.55591i 0.0566239 1.01866i
\(89\) −0.544972 0.750090i −0.0577669 0.0795093i 0.779156 0.626830i \(-0.215648\pi\)
−0.836923 + 0.547320i \(0.815648\pi\)
\(90\) −7.23649 6.13460i −0.762793 0.646643i
\(91\) −2.94504 + 4.05349i −0.308724 + 0.424922i
\(92\) 6.87270 + 8.22580i 0.716529 + 0.857599i
\(93\) −2.38447 3.26533i −0.247258 0.338599i
\(94\) −4.29420 + 2.37439i −0.442913 + 0.244899i
\(95\) −9.15424 2.53960i −0.939205 0.260557i
\(96\) −2.89150 + 9.36158i −0.295112 + 0.955463i
\(97\) 2.81383 8.66007i 0.285701 0.879297i −0.700487 0.713665i \(-0.747034\pi\)
0.986188 0.165631i \(-0.0529662\pi\)
\(98\) 6.44286 + 6.02081i 0.650828 + 0.608193i
\(99\) −3.09022 + 9.66943i −0.310579 + 0.971814i
\(100\) −8.92047 + 4.51943i −0.892047 + 0.451943i
\(101\) 9.32445i 0.927817i 0.885883 + 0.463909i \(0.153553\pi\)
−0.885883 + 0.463909i \(0.846447\pi\)
\(102\) 1.83379 15.1047i 0.181573 1.49559i
\(103\) 0.687900 + 0.223512i 0.0677808 + 0.0220233i 0.342711 0.939441i \(-0.388655\pi\)
−0.274930 + 0.961464i \(0.588655\pi\)
\(104\) −3.76581 + 0.996264i −0.369268 + 0.0976918i
\(105\) −13.5864 3.73386i −1.32589 0.364387i
\(106\) 4.49087 + 8.12197i 0.436192 + 0.788876i
\(107\) −6.00722 −0.580740 −0.290370 0.956914i \(-0.593778\pi\)
−0.290370 + 0.956914i \(0.593778\pi\)
\(108\) 5.46177 8.84133i 0.525559 0.850757i
\(109\) 14.7588 + 10.7229i 1.41363 + 1.02706i 0.992782 + 0.119934i \(0.0382682\pi\)
0.420850 + 0.907130i \(0.361732\pi\)
\(110\) 8.12861 + 6.95864i 0.775032 + 0.663481i
\(111\) 0.639544 1.98461i 0.0607028 0.188371i
\(112\) 1.96436 + 14.4190i 0.185615 + 1.36247i
\(113\) −3.36663 + 4.63377i −0.316706 + 0.435909i −0.937458 0.348099i \(-0.886827\pi\)
0.620752 + 0.784007i \(0.286827\pi\)
\(114\) 1.25422 10.3308i 0.117468 0.967573i
\(115\) −11.9729 + 0.521648i −1.11648 + 0.0486439i
\(116\) 3.74262 14.8769i 0.347494 1.38128i
\(117\) 4.13161 0.0199594i 0.381968 0.00184525i
\(118\) −1.77734 9.19549i −0.163618 0.846513i
\(119\) −6.98338 21.4926i −0.640165 1.97023i
\(120\) −6.35374 8.92356i −0.580014 0.814606i
\(121\) 0.138964 0.427687i 0.0126331 0.0388806i
\(122\) 12.8329 + 1.58944i 1.16183 + 0.143901i
\(123\) −7.16399 2.30860i −0.645955 0.208160i
\(124\) −1.73980 4.33250i −0.156239 0.389070i
\(125\) 2.04048 10.9926i 0.182506 0.983205i
\(126\) 1.82321 15.3269i 0.162424 1.36543i
\(127\) 5.76540 + 7.93539i 0.511596 + 0.704152i 0.984188 0.177130i \(-0.0566812\pi\)
−0.472591 + 0.881282i \(0.656681\pi\)
\(128\) −5.89855 + 9.65438i −0.521363 + 0.853335i
\(129\) 12.4023 4.06290i 1.09196 0.357718i
\(130\) 1.67126 4.02172i 0.146579 0.352728i
\(131\) −5.69585 17.5300i −0.497649 1.53161i −0.812787 0.582561i \(-0.802051\pi\)
0.315138 0.949046i \(-0.397949\pi\)
\(132\) −6.20850 + 9.94238i −0.540381 + 0.865373i
\(133\) −4.77627 14.6998i −0.414155 1.27464i
\(134\) 4.50826 + 2.10804i 0.389454 + 0.182107i
\(135\) 4.14680 + 10.8538i 0.356900 + 0.934143i
\(136\) 6.34830 16.3825i 0.544363 1.40479i
\(137\) −0.679592 + 0.935378i −0.0580615 + 0.0799148i −0.837060 0.547111i \(-0.815728\pi\)
0.778999 + 0.627025i \(0.215728\pi\)
\(138\) −2.52247 12.8835i −0.214727 1.09671i
\(139\) 1.59335 + 2.19306i 0.135146 + 0.186013i 0.871226 0.490882i \(-0.163325\pi\)
−0.736080 + 0.676895i \(0.763325\pi\)
\(140\) −14.1429 8.04286i −1.19529 0.679746i
\(141\) 6.00971 0.0145161i 0.506109 0.00122248i
\(142\) 0.331676 0.183393i 0.0278337 0.0153900i
\(143\) −4.66015 −0.389702
\(144\) 8.62703 8.34112i 0.718919 0.695093i
\(145\) 10.6756 + 13.4236i 0.886559 + 1.11477i
\(146\) −8.15535 1.01010i −0.674942 0.0835963i
\(147\) −3.36220 10.2634i −0.277309 0.846508i
\(148\) 1.28019 2.03913i 0.105231 0.167615i
\(149\) 2.34464i 0.192080i −0.995377 0.0960401i \(-0.969382\pi\)
0.995377 0.0960401i \(-0.0306177\pi\)
\(150\) 12.2405 + 0.413040i 0.999431 + 0.0337246i
\(151\) 16.3513i 1.33065i 0.746553 + 0.665326i \(0.231707\pi\)
−0.746553 + 0.665326i \(0.768293\pi\)
\(152\) 4.34191 11.2048i 0.352175 0.908828i
\(153\) −10.8806 + 15.1290i −0.879643 + 1.22311i
\(154\) −2.13991 + 17.2773i −0.172439 + 1.39224i
\(155\) 5.02988 + 1.39540i 0.404009 + 0.112082i
\(156\) 4.62946 + 1.15277i 0.370654 + 0.0922953i
\(157\) −0.162298 −0.0129528 −0.00647638 0.999979i \(-0.502062\pi\)
−0.00647638 + 0.999979i \(0.502062\pi\)
\(158\) −9.64058 17.4355i −0.766963 1.38709i
\(159\) −0.0274555 11.3667i −0.00217736 0.901434i
\(160\) −4.57260 11.7937i −0.361496 0.932374i
\(161\) −11.4608 15.7744i −0.903234 1.24319i
\(162\) −11.0786 + 6.26618i −0.870415 + 0.492318i
\(163\) −14.2007 + 19.5456i −1.11229 + 1.53093i −0.294284 + 0.955718i \(0.595081\pi\)
−0.818003 + 0.575214i \(0.804919\pi\)
\(164\) −7.36078 4.62118i −0.574781 0.360854i
\(165\) −4.61804 12.2645i −0.359514 0.954794i
\(166\) 8.31322 17.7787i 0.645231 1.37989i
\(167\) −3.57484 11.0022i −0.276630 0.851378i −0.988784 0.149355i \(-0.952280\pi\)
0.712154 0.702023i \(-0.247720\pi\)
\(168\) 6.39964 16.6341i 0.493743 1.28335i
\(169\) −3.43110 10.5598i −0.263931 0.812295i
\(170\) 10.2444 + 16.7604i 0.785707 + 1.28547i
\(171\) −7.44175 + 10.3474i −0.569085 + 0.791289i
\(172\) 15.0353 1.01945i 1.14643 0.0777323i
\(173\) 10.3709 + 14.2743i 0.788481 + 1.08525i 0.994295 + 0.106661i \(0.0340158\pi\)
−0.205814 + 0.978591i \(0.565984\pi\)
\(174\) −12.7948 + 13.7581i −0.969969 + 1.04300i
\(175\) 16.7455 7.10443i 1.26584 0.537044i
\(176\) −9.77588 + 9.36095i −0.736885 + 0.705608i
\(177\) −3.51824 + 10.9177i −0.264447 + 0.820624i
\(178\) −0.161171 + 1.30126i −0.0120802 + 0.0975337i
\(179\) 1.38902 4.27496i 0.103820 0.319525i −0.885632 0.464388i \(-0.846274\pi\)
0.989452 + 0.144863i \(0.0462742\pi\)
\(180\) 1.55378 + 13.3261i 0.115812 + 0.993271i
\(181\) 3.60059 + 11.0815i 0.267630 + 0.823679i 0.991076 + 0.133299i \(0.0425570\pi\)
−0.723446 + 0.690381i \(0.757443\pi\)
\(182\) 6.95701 1.34468i 0.515688 0.0996742i
\(183\) −12.8349 9.27783i −0.948785 0.685837i
\(184\) 0.841337 15.1356i 0.0620242 1.11581i
\(185\) 0.942482 + 2.52149i 0.0692927 + 0.185383i
\(186\) −0.689142 + 5.67638i −0.0505304 + 0.416212i
\(187\) 12.3546 17.0047i 0.903461 1.24351i
\(188\) 6.72974 + 1.69302i 0.490817 + 0.123477i
\(189\) −11.0003 + 15.3737i −0.800154 + 1.11827i
\(190\) 7.00661 + 11.4633i 0.508313 + 0.831633i
\(191\) 15.7686 + 11.4565i 1.14097 + 0.828967i 0.987255 0.159148i \(-0.0508746\pi\)
0.153720 + 0.988114i \(0.450875\pi\)
\(192\) 12.0271 6.88107i 0.867980 0.496598i
\(193\) 9.00500 0.648194 0.324097 0.946024i \(-0.394940\pi\)
0.324097 + 0.946024i \(0.394940\pi\)
\(194\) −11.2695 + 6.23121i −0.809100 + 0.447375i
\(195\) −4.16666 + 3.33015i −0.298381 + 0.238477i
\(196\) −0.843632 12.4422i −0.0602594 0.888732i
\(197\) 8.23977 + 2.67726i 0.587059 + 0.190747i 0.587460 0.809253i \(-0.300128\pi\)
−0.000401397 1.00000i \(0.500128\pi\)
\(198\) 12.5297 7.00727i 0.890445 0.497985i
\(199\) 8.35986i 0.592615i −0.955093 0.296307i \(-0.904245\pi\)
0.955093 0.296307i \(-0.0957553\pi\)
\(200\) 13.5811 + 3.94366i 0.960332 + 0.278859i
\(201\) −3.59461 4.92251i −0.253544 0.347207i
\(202\) 9.00353 9.63468i 0.633486 0.677894i
\(203\) −8.62300 + 26.5389i −0.605216 + 1.86266i
\(204\) −16.4797 + 13.8366i −1.15381 + 0.968755i
\(205\) 9.10198 3.40214i 0.635710 0.237616i
\(206\) −0.494968 0.895174i −0.0344860 0.0623697i
\(207\) −4.89462 + 15.3154i −0.340200 + 1.06450i
\(208\) 4.85308 + 2.60679i 0.336500 + 0.180749i
\(209\) 8.44993 11.6303i 0.584494 0.804487i
\(210\) 10.4330 + 16.9769i 0.719949 + 1.17151i
\(211\) −11.3292 15.5933i −0.779934 1.07349i −0.995289 0.0969515i \(-0.969091\pi\)
0.215355 0.976536i \(-0.430909\pi\)
\(212\) 3.20216 12.7285i 0.219925 0.874198i
\(213\) −0.464179 + 0.00112120i −0.0318050 + 7.68231e-5i
\(214\) 6.20709 + 5.80047i 0.424308 + 0.396512i
\(215\) −9.30062 + 14.0489i −0.634297 + 0.958128i
\(216\) −14.1805 + 3.86169i −0.964863 + 0.262755i
\(217\) 2.62436 + 8.07696i 0.178153 + 0.548300i
\(218\) −4.89597 25.3304i −0.331597 1.71559i
\(219\) 8.15665 + 5.89611i 0.551176 + 0.398422i
\(220\) −1.67990 15.0390i −0.113259 1.01393i
\(221\) −8.13625 2.64363i −0.547303 0.177830i
\(222\) −2.57713 + 1.43311i −0.172966 + 0.0961840i
\(223\) 4.28183 + 5.89343i 0.286732 + 0.394653i 0.927949 0.372706i \(-0.121570\pi\)
−0.641217 + 0.767360i \(0.721570\pi\)
\(224\) 11.8930 16.7955i 0.794637 1.12220i
\(225\) −12.8933 7.66573i −0.859552 0.511049i
\(226\) 7.95294 1.53718i 0.529021 0.102251i
\(227\) −8.35344 + 6.06913i −0.554437 + 0.402822i −0.829419 0.558627i \(-0.811328\pi\)
0.274982 + 0.961449i \(0.411328\pi\)
\(228\) −11.2712 + 9.46351i −0.746456 + 0.626736i
\(229\) 3.02619 9.31366i 0.199976 0.615464i −0.799906 0.600125i \(-0.795117\pi\)
0.999882 0.0153385i \(-0.00488258\pi\)
\(230\) 12.8749 + 11.0218i 0.848948 + 0.726758i
\(231\) 12.4910 17.2800i 0.821848 1.13694i
\(232\) −18.2320 + 11.7580i −1.19699 + 0.771951i
\(233\) −6.58653 + 2.14009i −0.431498 + 0.140202i −0.516710 0.856161i \(-0.672843\pi\)
0.0852116 + 0.996363i \(0.472843\pi\)
\(234\) −4.28835 3.96879i −0.280338 0.259448i
\(235\) −6.07233 + 4.82924i −0.396115 + 0.315025i
\(236\) −7.04254 + 11.2176i −0.458430 + 0.730204i
\(237\) 0.0589388 + 24.4008i 0.00382848 + 1.58501i
\(238\) −13.5372 + 28.9507i −0.877487 + 1.87660i
\(239\) 13.2117 9.59884i 0.854592 0.620897i −0.0718166 0.997418i \(-0.522880\pi\)
0.926408 + 0.376521i \(0.122880\pi\)
\(240\) −2.05131 + 15.3555i −0.132412 + 0.991195i
\(241\) 2.80780 + 2.03999i 0.180866 + 0.131407i 0.674535 0.738243i \(-0.264344\pi\)
−0.493668 + 0.869650i \(0.664344\pi\)
\(242\) −0.556555 + 0.307735i −0.0357767 + 0.0197820i
\(243\) 15.5873 0.188260i 0.999927 0.0120769i
\(244\) −11.7251 14.0335i −0.750622 0.898405i
\(245\) 11.6260 + 7.69661i 0.742757 + 0.491718i
\(246\) 5.17319 + 9.30284i 0.329830 + 0.593127i
\(247\) −5.56477 1.80810i −0.354078 0.115047i
\(248\) −2.38570 + 6.15657i −0.151492 + 0.390942i
\(249\) −19.4123 + 14.1757i −1.23021 + 0.898346i
\(250\) −12.7226 + 9.38804i −0.804648 + 0.593752i
\(251\) 20.3406 1.28389 0.641944 0.766752i \(-0.278128\pi\)
0.641944 + 0.766752i \(0.278128\pi\)
\(252\) −16.6833 + 14.0764i −1.05095 + 0.886727i
\(253\) 5.60409 17.2476i 0.352326 1.08435i
\(254\) 1.70506 13.7664i 0.106985 0.863780i
\(255\) −1.10525 24.0326i −0.0692132 1.50498i
\(256\) 15.4169 4.28005i 0.963557 0.267503i
\(257\) 8.16406i 0.509260i −0.967039 0.254630i \(-0.918046\pi\)
0.967039 0.254630i \(-0.0819537\pi\)
\(258\) −16.7380 7.77738i −1.04206 0.484199i
\(259\) −2.57428 + 3.54320i −0.159958 + 0.220164i
\(260\) −5.61017 + 2.54178i −0.347928 + 0.157635i
\(261\) 21.8498 7.21631i 1.35247 0.446678i
\(262\) −11.0414 + 23.6131i −0.682137 + 1.45882i
\(263\) −7.99088 5.80572i −0.492739 0.357996i 0.313498 0.949589i \(-0.398499\pi\)
−0.806237 + 0.591593i \(0.798499\pi\)
\(264\) 16.0153 4.27834i 0.985671 0.263313i
\(265\) 9.13393 + 11.4851i 0.561093 + 0.705523i
\(266\) −9.25874 + 19.8008i −0.567690 + 1.21406i
\(267\) 0.940778 1.30147i 0.0575747 0.0796487i
\(268\) −2.62277 6.53127i −0.160211 0.398961i
\(269\) −0.863316 + 0.280508i −0.0526373 + 0.0171029i −0.335217 0.942141i \(-0.608810\pi\)
0.282580 + 0.959244i \(0.408810\pi\)
\(270\) 6.19544 15.2190i 0.377042 0.926196i
\(271\) 24.5682 + 7.98268i 1.49241 + 0.484913i 0.937794 0.347193i \(-0.112865\pi\)
0.554616 + 0.832107i \(0.312865\pi\)
\(272\) −22.3782 + 10.7978i −1.35688 + 0.654710i
\(273\) −8.25997 2.66179i −0.499916 0.161099i
\(274\) 1.60539 0.310296i 0.0969851 0.0187457i
\(275\) 14.5006 + 8.71643i 0.874417 + 0.525621i
\(276\) −9.83368 + 15.7478i −0.591918 + 0.947904i
\(277\) −17.2941 + 12.5649i −1.03910 + 0.754951i −0.970110 0.242666i \(-0.921978\pi\)
−0.0689913 + 0.997617i \(0.521978\pi\)
\(278\) 0.471219 3.80454i 0.0282619 0.228181i
\(279\) 4.08894 5.68549i 0.244798 0.340382i
\(280\) 6.84736 + 21.9666i 0.409208 + 1.31275i
\(281\) 4.36744 1.41907i 0.260540 0.0846544i −0.175835 0.984420i \(-0.556262\pi\)
0.436374 + 0.899765i \(0.356262\pi\)
\(282\) −6.22367 5.78788i −0.370614 0.344663i
\(283\) 12.9781 4.21684i 0.771468 0.250665i 0.103275 0.994653i \(-0.467068\pi\)
0.668193 + 0.743988i \(0.267068\pi\)
\(284\) −0.519793 0.130766i −0.0308440 0.00775954i
\(285\) −0.755931 16.4371i −0.0447775 0.973648i
\(286\) 4.81520 + 4.49977i 0.284729 + 0.266077i
\(287\) 12.7901 + 9.29257i 0.754977 + 0.548523i
\(288\) −16.9681 + 0.288516i −0.999855 + 0.0170010i
\(289\) 17.4634 12.6879i 1.02726 0.746347i
\(290\) 1.93081 24.1784i 0.113381 1.41980i
\(291\) 15.7715 0.0380952i 0.924545 0.00223318i
\(292\) 7.45135 + 8.91838i 0.436057 + 0.521909i
\(293\) 14.2787i 0.834169i 0.908868 + 0.417085i \(0.136948\pi\)
−0.908868 + 0.417085i \(0.863052\pi\)
\(294\) −6.43607 + 13.8513i −0.375359 + 0.807825i
\(295\) −5.18475 13.8711i −0.301868 0.807608i
\(296\) −3.29173 + 0.870845i −0.191328 + 0.0506168i
\(297\) −17.5820 + 0.127406i −1.02021 + 0.00739287i
\(298\) −2.26394 + 2.42265i −0.131147 + 0.140340i
\(299\) −7.38124 −0.426868
\(300\) −12.2489 12.2460i −0.707191 0.707023i
\(301\) −27.4123 −1.58002
\(302\) 15.7886 16.8953i 0.908530 0.972218i
\(303\) −15.3479 + 5.02784i −0.881711 + 0.288842i
\(304\) −15.3055 + 7.38510i −0.877832 + 0.423565i
\(305\) 20.4262 0.889952i 1.16960 0.0509585i
\(306\) 25.8509 5.12624i 1.47780 0.293048i
\(307\) 16.1588i 0.922229i −0.887341 0.461115i \(-0.847450\pi\)
0.887341 0.461115i \(-0.152550\pi\)
\(308\) 18.8937 15.7858i 1.07657 0.899481i
\(309\) 0.00302604 + 1.25279i 0.000172145 + 0.0712688i
\(310\) −3.84984 6.29860i −0.218656 0.357736i
\(311\) −3.85464 + 2.80056i −0.218576 + 0.158805i −0.691686 0.722199i \(-0.743132\pi\)
0.473109 + 0.881004i \(0.343132\pi\)
\(312\) −3.67040 5.66126i −0.207795 0.320505i
\(313\) −9.10105 6.61230i −0.514422 0.373749i 0.300077 0.953915i \(-0.402988\pi\)
−0.814498 + 0.580166i \(0.802988\pi\)
\(314\) 0.167697 + 0.156712i 0.00946371 + 0.00884377i
\(315\) −1.18006 24.3762i −0.0664887 1.37345i
\(316\) −6.87408 + 27.3244i −0.386697 + 1.53711i
\(317\) −9.95192 + 3.23358i −0.558956 + 0.181616i −0.574851 0.818258i \(-0.694940\pi\)
0.0158956 + 0.999874i \(0.494940\pi\)
\(318\) −10.9471 + 11.7713i −0.613882 + 0.660104i
\(319\) −24.6837 + 8.02022i −1.38202 + 0.449046i
\(320\) −6.66307 + 16.6013i −0.372477 + 0.928042i
\(321\) −3.23916 9.88777i −0.180792 0.551882i
\(322\) −3.38941 + 27.3655i −0.188885 + 1.52502i
\(323\) 21.3506 15.5121i 1.18798 0.863117i
\(324\) 17.4977 + 4.22263i 0.972094 + 0.234591i
\(325\) 1.55027 6.70932i 0.0859932 0.372166i
\(326\) 33.5461 6.48394i 1.85795 0.359112i
\(327\) −9.69155 + 30.0745i −0.535944 + 1.66312i
\(328\) 3.14355 + 11.8824i 0.173573 + 0.656095i
\(329\) −12.0052 3.90072i −0.661868 0.215054i
\(330\) −7.07076 + 17.1317i −0.389233 + 0.943069i
\(331\) −10.8436 + 3.52330i −0.596019 + 0.193658i −0.591464 0.806331i \(-0.701450\pi\)
−0.00455483 + 0.999990i \(0.501450\pi\)
\(332\) −25.7566 + 10.3431i −1.41358 + 0.567652i
\(333\) 3.61148 0.0174467i 0.197908 0.000956075i
\(334\) −6.92980 + 14.8201i −0.379182 + 0.810920i
\(335\) 7.58258 + 2.10358i 0.414280 + 0.114931i
\(336\) −22.6742 + 11.0082i −1.23698 + 0.600545i
\(337\) −25.4540 18.4934i −1.38657 1.00740i −0.996232 0.0867248i \(-0.972360\pi\)
−0.390333 0.920674i \(-0.627640\pi\)
\(338\) −6.65115 + 14.2242i −0.361775 + 0.773693i
\(339\) −9.44242 3.04283i −0.512842 0.165264i
\(340\) 5.59841 27.2099i 0.303616 1.47566i
\(341\) −4.64289 + 6.39039i −0.251427 + 0.346059i
\(342\) 17.6807 3.50608i 0.956061 0.189587i
\(343\) 2.78163i 0.150194i
\(344\) −16.5199 13.4644i −0.890692 0.725954i
\(345\) −7.31453 19.4259i −0.393801 1.04585i
\(346\) 3.06709 24.7631i 0.164888 1.33127i
\(347\) −0.531744 + 1.63654i −0.0285455 + 0.0878541i −0.964314 0.264760i \(-0.914707\pi\)
0.935769 + 0.352614i \(0.114707\pi\)
\(348\) 26.5051 1.86147i 1.42082 0.0997855i
\(349\) 3.32837 0.178164 0.0890819 0.996024i \(-0.471607\pi\)
0.0890819 + 0.996024i \(0.471607\pi\)
\(350\) −24.1626 8.82840i −1.29154 0.471898i
\(351\) 2.26066 + 6.78979i 0.120665 + 0.362412i
\(352\) 19.1399 0.232962i 1.02016 0.0124169i
\(353\) 22.2463 + 7.22826i 1.18405 + 0.384721i 0.833870 0.551961i \(-0.186120\pi\)
0.350180 + 0.936682i \(0.386120\pi\)
\(354\) 14.1772 7.88377i 0.753511 0.419018i
\(355\) 0.469015 0.373002i 0.0248928 0.0197969i
\(356\) 1.42301 1.18893i 0.0754194 0.0630133i
\(357\) 31.6109 23.0836i 1.67303 1.22171i
\(358\) −5.56306 + 3.07598i −0.294017 + 0.162570i
\(359\) 8.50264 + 6.17753i 0.448752 + 0.326037i 0.789103 0.614261i \(-0.210546\pi\)
−0.340351 + 0.940299i \(0.610546\pi\)
\(360\) 11.2620 15.2698i 0.593560 0.804790i
\(361\) −0.768634 + 0.558445i −0.0404544 + 0.0293918i
\(362\) 6.97970 14.9268i 0.366845 0.784537i
\(363\) 0.778895 0.00188137i 0.0408814 9.87465e-5i
\(364\) −8.48687 5.32815i −0.444833 0.279271i
\(365\) −12.9810 + 0.565569i −0.679454 + 0.0296032i
\(366\) 4.30343 + 21.9797i 0.224944 + 1.14890i
\(367\) −9.56428 + 3.10762i −0.499251 + 0.162217i −0.547808 0.836604i \(-0.684538\pi\)
0.0485572 + 0.998820i \(0.484538\pi\)
\(368\) −15.4841 + 14.8268i −0.807162 + 0.772902i
\(369\) −0.0629786 13.0366i −0.00327854 0.678659i
\(370\) 1.46087 3.51542i 0.0759469 0.182758i
\(371\) −7.37776 + 22.7064i −0.383034 + 1.17886i
\(372\) 6.19309 5.19981i 0.321097 0.269598i
\(373\) −2.14363 + 1.55744i −0.110993 + 0.0806413i −0.641897 0.766791i \(-0.721852\pi\)
0.530904 + 0.847432i \(0.321852\pi\)
\(374\) −29.1852 + 5.64103i −1.50913 + 0.291691i
\(375\) 19.1938 2.56872i 0.991163 0.132648i
\(376\) −5.31889 8.24748i −0.274301 0.425331i
\(377\) 6.20911 + 8.54610i 0.319785 + 0.440147i
\(378\) 26.2108 5.26345i 1.34814 0.270722i
\(379\) −12.2464 3.97908i −0.629053 0.204392i −0.0228974 0.999738i \(-0.507289\pi\)
−0.606156 + 0.795346i \(0.707289\pi\)
\(380\) 3.82902 18.6101i 0.196425 0.954680i
\(381\) −9.95274 + 13.7686i −0.509894 + 0.705386i
\(382\) −5.23096 27.0636i −0.267639 1.38469i
\(383\) −9.04763 27.8457i −0.462312 1.42285i −0.862332 0.506344i \(-0.830997\pi\)
0.400020 0.916507i \(-0.369003\pi\)
\(384\) −19.0715 4.50315i −0.973238 0.229800i
\(385\) 1.19817 + 27.5004i 0.0610643 + 1.40155i
\(386\) −9.30461 8.69508i −0.473592 0.442568i
\(387\) 13.3749 + 18.2232i 0.679884 + 0.926336i
\(388\) 17.6612 + 4.44308i 0.896610 + 0.225563i
\(389\) 16.7430 + 23.0447i 0.848902 + 1.16841i 0.984104 + 0.177596i \(0.0568319\pi\)
−0.135201 + 0.990818i \(0.543168\pi\)
\(390\) 7.52083 + 0.582313i 0.380832 + 0.0294866i
\(391\) 19.5686 26.9338i 0.989625 1.36210i
\(392\) −11.1423 + 13.6708i −0.562773 + 0.690480i
\(393\) 25.7828 18.8276i 1.30057 0.949729i
\(394\) −5.92879 10.7225i −0.298688 0.540193i
\(395\) −19.6079 24.6551i −0.986578 1.24053i
\(396\) −19.7126 4.85805i −0.990598 0.244126i
\(397\) 5.94337 18.2918i 0.298289 0.918040i −0.683807 0.729663i \(-0.739677\pi\)
0.982097 0.188377i \(-0.0603228\pi\)
\(398\) −8.07214 + 8.63800i −0.404620 + 0.432984i
\(399\) 21.6202 15.7880i 1.08237 0.790386i
\(400\) −10.2251 17.1886i −0.511254 0.859430i
\(401\) 24.8100i 1.23895i 0.785016 + 0.619475i \(0.212654\pi\)
−0.785016 + 0.619475i \(0.787346\pi\)
\(402\) −1.03889 + 8.55718i −0.0518150 + 0.426793i
\(403\) 3.05761 + 0.993478i 0.152311 + 0.0494887i
\(404\) −18.6062 + 1.26157i −0.925692 + 0.0627655i
\(405\) −15.6291 + 12.6780i −0.776615 + 0.629976i
\(406\) 34.5354 19.0956i 1.71396 0.947699i
\(407\) −4.07349 −0.201915
\(408\) 30.3884 + 1.61556i 1.50445 + 0.0799823i
\(409\) 22.6292 + 16.4411i 1.11894 + 0.812958i 0.984048 0.177903i \(-0.0569312\pi\)
0.134892 + 0.990860i \(0.456931\pi\)
\(410\) −12.6899 5.27339i −0.626707 0.260434i
\(411\) −1.90606 0.614230i −0.0940189 0.0302977i
\(412\) −0.352930 + 1.40289i −0.0173876 + 0.0691154i
\(413\) 14.1616 19.4917i 0.696846 0.959126i
\(414\) 19.8458 11.0988i 0.975368 0.545478i
\(415\) 8.29566 29.9025i 0.407218 1.46786i
\(416\) −2.49747 7.37958i −0.122448 0.361814i
\(417\) −2.75058 + 3.80515i −0.134697 + 0.186339i
\(418\) −19.9611 + 3.85817i −0.976331 + 0.188709i
\(419\) 6.43124 + 19.7933i 0.314187 + 0.966968i 0.976088 + 0.217376i \(0.0697499\pi\)
−0.661901 + 0.749591i \(0.730250\pi\)
\(420\) 5.61241 27.6157i 0.273858 1.34751i
\(421\) −8.09209 + 24.9049i −0.394385 + 1.21379i 0.535055 + 0.844817i \(0.320291\pi\)
−0.929440 + 0.368974i \(0.879709\pi\)
\(422\) −3.35051 + 27.0514i −0.163100 + 1.31684i
\(423\) 3.26439 + 9.88404i 0.158720 + 0.480578i
\(424\) −15.5991 + 10.0600i −0.757561 + 0.488559i
\(425\) 20.3721 + 23.4441i 0.988192 + 1.13721i
\(426\) 0.480705 + 0.447045i 0.0232902 + 0.0216594i
\(427\) 19.5525 + 26.9117i 0.946211 + 1.30235i
\(428\) −0.812759 11.9869i −0.0392862 0.579410i
\(429\) −2.51280 7.67052i −0.121319 0.370336i
\(430\) 23.1755 5.53580i 1.11762 0.266960i
\(431\) −1.53657 4.72908i −0.0740141 0.227792i 0.907205 0.420689i \(-0.138212\pi\)
−0.981219 + 0.192897i \(0.938212\pi\)
\(432\) 18.3811 + 9.70231i 0.884362 + 0.466803i
\(433\) 11.8150 + 36.3627i 0.567791 + 1.74748i 0.659511 + 0.751695i \(0.270764\pi\)
−0.0917199 + 0.995785i \(0.529236\pi\)
\(434\) 5.08730 10.8797i 0.244198 0.522244i
\(435\) −16.3386 + 24.8099i −0.783374 + 1.18955i
\(436\) −19.3998 + 30.9007i −0.929081 + 1.47987i
\(437\) 13.3839 18.4213i 0.640238 0.881212i
\(438\) −2.73485 13.9682i −0.130676 0.667427i
\(439\) −7.36158 10.1323i −0.351349 0.483591i 0.596364 0.802714i \(-0.296612\pi\)
−0.947713 + 0.319124i \(0.896612\pi\)
\(440\) −12.7856 + 17.1615i −0.609531 + 0.818140i
\(441\) 15.0804 11.0682i 0.718112 0.527058i
\(442\) 5.85430 + 10.5878i 0.278461 + 0.503611i
\(443\) −29.8045 −1.41606 −0.708028 0.706184i \(-0.750415\pi\)
−0.708028 + 0.706184i \(0.750415\pi\)
\(444\) 4.04666 + 1.00765i 0.192046 + 0.0478207i
\(445\) 0.0902417 + 2.07123i 0.00427787 + 0.0981858i
\(446\) 1.26631 10.2240i 0.0599616 0.484119i
\(447\) 3.85923 1.26425i 0.182535 0.0597972i
\(448\) −28.5062 + 5.87057i −1.34679 + 0.277358i
\(449\) 7.47610i 0.352819i −0.984317 0.176410i \(-0.943552\pi\)
0.984317 0.176410i \(-0.0564483\pi\)
\(450\) 5.92034 + 20.3703i 0.279088 + 0.960266i
\(451\) 14.7043i 0.692400i
\(452\) −9.70181 6.09090i −0.456335 0.286492i
\(453\) −26.9140 + 8.81680i −1.26453 + 0.414250i
\(454\) 14.4916 + 1.79489i 0.680125 + 0.0842383i
\(455\) 10.4944 3.92262i 0.491987 0.183895i
\(456\) 20.7841 + 1.10496i 0.973303 + 0.0517445i
\(457\) −17.8256 −0.833847 −0.416923 0.908942i \(-0.636892\pi\)
−0.416923 + 0.908942i \(0.636892\pi\)
\(458\) −12.1200 + 6.70149i −0.566330 + 0.313140i
\(459\) −30.7690 9.75151i −1.43617 0.455162i
\(460\) −2.66080 23.8204i −0.124061 1.11063i
\(461\) 12.7878 + 17.6009i 0.595589 + 0.819758i 0.995296 0.0968854i \(-0.0308880\pi\)
−0.399707 + 0.916643i \(0.630888\pi\)
\(462\) −29.5919 + 5.79383i −1.37674 + 0.269553i
\(463\) 1.61013 2.21616i 0.0748292 0.102994i −0.769962 0.638090i \(-0.779725\pi\)
0.844791 + 0.535096i \(0.179725\pi\)
\(464\) 30.1919 + 5.45531i 1.40163 + 0.253256i
\(465\) 0.415353 + 9.03149i 0.0192615 + 0.418826i
\(466\) 8.87211 + 4.14855i 0.410993 + 0.192178i
\(467\) −0.871858 2.68330i −0.0403448 0.124169i 0.928856 0.370442i \(-0.120794\pi\)
−0.969200 + 0.246274i \(0.920794\pi\)
\(468\) 0.598822 + 8.24159i 0.0276806 + 0.380968i
\(469\) 3.95625 + 12.1761i 0.182682 + 0.562239i
\(470\) 10.9374 + 0.873428i 0.504504 + 0.0402882i
\(471\) −0.0875126 0.267139i −0.00403237 0.0123091i
\(472\) 18.1084 4.79066i 0.833506 0.220508i
\(473\) −14.9863 20.6268i −0.689069 0.948422i
\(474\) 23.5002 25.2696i 1.07940 1.16067i
\(475\) 13.9335 + 16.0345i 0.639311 + 0.735715i
\(476\) 41.9420 16.8427i 1.92241 0.771982i
\(477\) 18.6945 6.17421i 0.855962 0.282698i
\(478\) −22.9197 2.83877i −1.04832 0.129842i
\(479\) −1.14734 + 3.53116i −0.0524235 + 0.161343i −0.973841 0.227232i \(-0.927032\pi\)
0.921417 + 0.388575i \(0.127032\pi\)
\(480\) 16.9466 13.8857i 0.773503 0.633793i
\(481\) 0.512336 + 1.57681i 0.0233605 + 0.0718963i
\(482\) −0.931440 4.81902i −0.0424259 0.219500i
\(483\) 19.7846 27.3699i 0.900229 1.24537i
\(484\) 0.872216 + 0.219426i 0.0396462 + 0.00997393i
\(485\) −15.9359 + 12.6736i −0.723611 + 0.575478i
\(486\) −16.2877 14.8563i −0.738825 0.673897i
\(487\) 13.0227 17.9242i 0.590115 0.812224i −0.404644 0.914475i \(-0.632604\pi\)
0.994759 + 0.102251i \(0.0326044\pi\)
\(488\) −1.43535 + 25.8220i −0.0649754 + 1.16891i
\(489\) −39.8289 12.8349i −1.80113 0.580415i
\(490\) −4.58108 19.1786i −0.206952 0.866399i
\(491\) −25.8293 18.7661i −1.16566 0.846903i −0.175178 0.984537i \(-0.556050\pi\)
−0.990483 + 0.137634i \(0.956050\pi\)
\(492\) 3.63737 14.6075i 0.163985 0.658557i
\(493\) −47.6455 −2.14584
\(494\) 4.00404 + 7.24151i 0.180150 + 0.325811i
\(495\) 17.6971 14.2144i 0.795426 0.638889i
\(496\) 8.40975 4.05781i 0.377609 0.182201i
\(497\) 0.927259 + 0.301285i 0.0415933 + 0.0135145i
\(498\) 33.7460 + 4.09694i 1.51219 + 0.183588i
\(499\) 23.3236i 1.04411i 0.852912 + 0.522055i \(0.174834\pi\)
−0.852912 + 0.522055i \(0.825166\pi\)
\(500\) 22.2108 + 2.58435i 0.993299 + 0.115575i
\(501\) 16.1819 11.8166i 0.722953 0.527929i
\(502\) −21.0174 19.6406i −0.938050 0.876601i
\(503\) 5.46519 16.8201i 0.243681 0.749973i −0.752170 0.658970i \(-0.770993\pi\)
0.995851 0.0910034i \(-0.0290074\pi\)
\(504\) 30.8302 + 1.56438i 1.37329 + 0.0696832i
\(505\) 11.5095 17.3855i 0.512167 0.773647i
\(506\) −22.4446 + 12.4102i −0.997782 + 0.551703i
\(507\) 15.5312 11.3415i 0.689765 0.503693i
\(508\) −15.0544 + 12.5780i −0.667930 + 0.558059i
\(509\) 3.42217 4.71021i 0.151685 0.208776i −0.726412 0.687260i \(-0.758813\pi\)
0.878097 + 0.478484i \(0.158813\pi\)
\(510\) −22.0635 + 25.8994i −0.976988 + 1.14685i
\(511\) −12.4257 17.1025i −0.549681 0.756570i
\(512\) −20.0626 10.4639i −0.886650 0.462442i
\(513\) −21.0444 6.66953i −0.929131 0.294467i
\(514\) −7.88309 + 8.43569i −0.347708 + 0.372082i
\(515\) −1.00671 1.26584i −0.0443609 0.0557798i
\(516\) 9.78517 + 24.1981i 0.430768 + 1.06526i
\(517\) −3.62805 11.1660i −0.159562 0.491080i
\(518\) 6.08119 1.17540i 0.267192 0.0516440i
\(519\) −17.9031 + 24.7671i −0.785858 + 1.08715i
\(520\) 8.25113 + 2.79074i 0.361836 + 0.122382i
\(521\) −2.45083 0.796324i −0.107373 0.0348876i 0.254838 0.966984i \(-0.417978\pi\)
−0.362211 + 0.932096i \(0.617978\pi\)
\(522\) −29.5447 13.6414i −1.29314 0.597068i
\(523\) 6.59764 + 9.08088i 0.288495 + 0.397079i 0.928524 0.371271i \(-0.121078\pi\)
−0.640030 + 0.768350i \(0.721078\pi\)
\(524\) 34.2091 13.7374i 1.49443 0.600120i
\(525\) 20.7231 + 23.7320i 0.904430 + 1.03575i
\(526\) 2.65084 + 13.7147i 0.115582 + 0.597991i
\(527\) −11.7313 + 8.52327i −0.511022 + 0.371279i
\(528\) −20.6792 11.0434i −0.899946 0.480602i
\(529\) 1.76895 5.44428i 0.0769110 0.236708i
\(530\) 1.65199 20.6868i 0.0717577 0.898576i
\(531\) −19.8674 + 0.0959774i −0.862171 + 0.00416507i
\(532\) 28.6861 11.5195i 1.24370 0.499434i
\(533\) 5.69191 1.84941i 0.246544 0.0801070i
\(534\) −2.22876 + 0.436370i −0.0964477 + 0.0188836i
\(535\) 11.2005 + 7.41495i 0.484241 + 0.320576i
\(536\) −3.59646 + 9.28107i −0.155343 + 0.400881i
\(537\) 7.78547 0.0188053i 0.335968 0.000811510i
\(538\) 1.16289 + 0.543762i 0.0501359 + 0.0234433i
\(539\) −17.0694 + 12.4017i −0.735233 + 0.534178i
\(540\) −21.0967 + 9.74309i −0.907859 + 0.419276i
\(541\) −30.0608 21.8404i −1.29241 0.938993i −0.292562 0.956247i \(-0.594508\pi\)
−0.999851 + 0.0172533i \(0.994508\pi\)
\(542\) −17.6776 31.9709i −0.759319 1.37327i
\(543\) −16.2984 + 11.9017i −0.699432 + 0.510753i
\(544\) 33.5489 + 10.4510i 1.43840 + 0.448084i
\(545\) −14.2822 38.2102i −0.611783 1.63675i
\(546\) 5.96461 + 10.7260i 0.255262 + 0.459032i
\(547\) −30.9322 10.0505i −1.32257 0.429728i −0.439191 0.898394i \(-0.644735\pi\)
−0.883376 + 0.468665i \(0.844735\pi\)
\(548\) −1.95842 1.22952i −0.0836595 0.0525223i
\(549\) 8.35041 26.1287i 0.356387 1.11515i
\(550\) −6.56656 23.0079i −0.279999 0.981062i
\(551\) −32.5870 −1.38825
\(552\) 25.3666 6.77647i 1.07968 0.288426i
\(553\) 15.8379 48.7439i 0.673494 2.07280i
\(554\) 30.0019 + 3.71595i 1.27466 + 0.157876i
\(555\) −3.64212 + 2.91092i −0.154600 + 0.123562i
\(556\) −4.16050 + 3.47612i −0.176444 + 0.147420i
\(557\) 8.23556i 0.348952i 0.984661 + 0.174476i \(0.0558231\pi\)
−0.984661 + 0.174476i \(0.944177\pi\)
\(558\) −9.71480 + 1.92645i −0.411260 + 0.0815530i
\(559\) −6.09957 + 8.39534i −0.257984 + 0.355085i
\(560\) 14.1354 29.3091i 0.597329 1.23854i
\(561\) 34.6512 + 11.1664i 1.46297 + 0.471445i
\(562\) −5.88298 2.75085i −0.248158 0.116037i
\(563\) 16.9912 + 12.3448i 0.716094 + 0.520273i 0.885134 0.465337i \(-0.154067\pi\)
−0.169040 + 0.985609i \(0.554067\pi\)
\(564\) 0.842062 + 11.9899i 0.0354572 + 0.504867i
\(565\) 11.9968 4.48416i 0.504708 0.188650i
\(566\) −17.4816 8.17430i −0.734806 0.343591i
\(567\) −31.2362 9.81664i −1.31180 0.412260i
\(568\) 0.410821 + 0.637020i 0.0172377 + 0.0267288i
\(569\) −32.1230 + 10.4374i −1.34667 + 0.437559i −0.891570 0.452882i \(-0.850396\pi\)
−0.455098 + 0.890441i \(0.650396\pi\)
\(570\) −15.0903 + 17.7139i −0.632062 + 0.741952i
\(571\) −27.1444 8.81976i −1.13596 0.369096i −0.320122 0.947376i \(-0.603724\pi\)
−0.815838 + 0.578281i \(0.803724\pi\)
\(572\) −0.630505 9.29896i −0.0263627 0.388809i
\(573\) −10.3547 + 32.1323i −0.432572 + 1.34234i
\(574\) −4.24291 21.9517i −0.177096 0.916245i
\(575\) 22.9675 + 13.8060i 0.957811 + 0.575750i
\(576\) 17.8112 + 16.0860i 0.742135 + 0.670250i
\(577\) −8.67146 + 6.30018i −0.360997 + 0.262280i −0.753468 0.657485i \(-0.771620\pi\)
0.392471 + 0.919765i \(0.371620\pi\)
\(578\) −30.2956 3.75233i −1.26013 0.156076i
\(579\) 4.85559 + 14.8221i 0.201791 + 0.615984i
\(580\) −25.3413 + 23.1184i −1.05224 + 0.959940i
\(581\) 48.0174 15.6018i 1.99210 0.647272i
\(582\) −16.3331 15.1894i −0.677027 0.629620i
\(583\) −21.1192 + 6.86203i −0.874666 + 0.284196i
\(584\) 0.912174 16.4100i 0.0377460 0.679051i
\(585\) −7.72808 5.06260i −0.319517 0.209313i
\(586\) 13.7873 14.7537i 0.569546 0.609471i
\(587\) 36.1457 + 26.2614i 1.49189 + 1.08392i 0.973475 + 0.228795i \(0.0734786\pi\)
0.518417 + 0.855128i \(0.326521\pi\)
\(588\) 20.0248 8.09759i 0.825809 0.333939i
\(589\) −8.02358 + 5.82947i −0.330606 + 0.240199i
\(590\) −8.03648 + 19.3389i −0.330857 + 0.796172i
\(591\) 0.0362463 + 15.0061i 0.00149097 + 0.617269i
\(592\) 4.24212 + 2.27862i 0.174350 + 0.0936509i
\(593\) 1.32965i 0.0546021i 0.999627 + 0.0273011i \(0.00869128\pi\)
−0.999627 + 0.0273011i \(0.991309\pi\)
\(594\) 18.2900 + 16.8452i 0.750446 + 0.691167i
\(595\) −13.5086 + 48.6931i −0.553799 + 1.99622i
\(596\) 4.67854 0.317223i 0.191640 0.0129939i
\(597\) 13.7602 4.50772i 0.563166 0.184489i
\(598\) 7.62682 + 7.12720i 0.311884 + 0.291453i
\(599\) −20.9122 −0.854448 −0.427224 0.904146i \(-0.640508\pi\)
−0.427224 + 0.904146i \(0.640508\pi\)
\(600\) 0.831913 + 24.4808i 0.0339627 + 0.999423i
\(601\) 21.9932 0.897120 0.448560 0.893753i \(-0.351937\pi\)
0.448560 + 0.893753i \(0.351937\pi\)
\(602\) 28.3244 + 26.4689i 1.15441 + 1.07879i
\(603\) 6.16410 8.57093i 0.251022 0.349035i
\(604\) −32.6277 + 2.21229i −1.32760 + 0.0900166i
\(605\) −0.787011 + 0.625899i −0.0319965 + 0.0254464i
\(606\) 20.7133 + 9.62452i 0.841420 + 0.390969i
\(607\) 47.5807i 1.93124i 0.259953 + 0.965621i \(0.416293\pi\)
−0.259953 + 0.965621i \(0.583707\pi\)
\(608\) 22.9457 + 7.14795i 0.930570 + 0.289888i
\(609\) −48.3320 + 0.116743i −1.95851 + 0.00473067i
\(610\) −21.9651 18.8037i −0.889342 0.761338i
\(611\) −3.86594 + 2.80877i −0.156399 + 0.113631i
\(612\) −31.6608 19.6644i −1.27981 0.794886i
\(613\) 10.7927 + 7.84138i 0.435915 + 0.316710i 0.784009 0.620749i \(-0.213171\pi\)
−0.348095 + 0.937459i \(0.613171\pi\)
\(614\) −15.6026 + 16.6964i −0.629671 + 0.673811i
\(615\) 10.5077 + 13.1472i 0.423713 + 0.530147i
\(616\) −34.7649 1.93246i −1.40072 0.0778609i
\(617\) 9.85658 3.20260i 0.396811 0.128932i −0.103812 0.994597i \(-0.533104\pi\)
0.500623 + 0.865665i \(0.333104\pi\)
\(618\) 1.20655 1.29739i 0.0485345 0.0521889i
\(619\) 37.9147 12.3192i 1.52392 0.495151i 0.577033 0.816721i \(-0.304210\pi\)
0.946886 + 0.321569i \(0.104210\pi\)
\(620\) −2.10389 + 10.2255i −0.0844942 + 0.410666i
\(621\) −27.8482 + 0.201800i −1.11751 + 0.00809794i
\(622\) 6.68705 + 0.828239i 0.268126 + 0.0332094i
\(623\) −2.72886 + 1.98264i −0.109330 + 0.0794326i
\(624\) −1.67390 + 9.39368i −0.0670097 + 0.376048i
\(625\) −17.3731 + 17.9771i −0.694922 + 0.719085i
\(626\) 3.01912 + 15.6201i 0.120668 + 0.624305i
\(627\) 23.6996 + 7.63723i 0.946471 + 0.305001i
\(628\) −0.0219584 0.323852i −0.000876235 0.0129231i
\(629\) −7.11197 2.31082i −0.283573 0.0921385i
\(630\) −22.3180 + 26.3267i −0.889169 + 1.04888i
\(631\) 19.4086 6.30624i 0.772644 0.251047i 0.103948 0.994583i \(-0.466853\pi\)
0.668697 + 0.743535i \(0.266853\pi\)
\(632\) 33.4867 21.5960i 1.33203 0.859041i
\(633\) 19.5575 27.0557i 0.777339 1.07537i
\(634\) 13.4053 + 6.26825i 0.532393 + 0.248944i
\(635\) −0.954690 21.9121i −0.0378857 0.869555i
\(636\) 22.6775 1.59266i 0.899222 0.0631531i
\(637\) 6.94746 + 5.04762i 0.275268 + 0.199994i
\(638\) 33.2492 + 15.5471i 1.31635 + 0.615516i
\(639\) −0.252136 0.763425i −0.00997433 0.0302006i
\(640\) 22.9147 10.7199i 0.905783 0.423741i
\(641\) −9.92161 + 13.6559i −0.391880 + 0.539376i −0.958683 0.284477i \(-0.908180\pi\)
0.566803 + 0.823853i \(0.308180\pi\)
\(642\) −6.20054 + 13.3444i −0.244716 + 0.526662i
\(643\) 28.9391i 1.14125i −0.821212 0.570624i \(-0.806701\pi\)
0.821212 0.570624i \(-0.193299\pi\)
\(644\) 29.9259 25.0032i 1.17924 0.985265i
\(645\) −28.1392 7.73333i −1.10798 0.304499i
\(646\) −37.0392 4.58756i −1.45729 0.180495i
\(647\) 3.15664 9.71512i 0.124100 0.381941i −0.869636 0.493694i \(-0.835646\pi\)
0.993736 + 0.111753i \(0.0356464\pi\)
\(648\) −14.0026 21.2586i −0.550072 0.835117i
\(649\) 22.4089 0.879628
\(650\) −8.08026 + 5.43564i −0.316934 + 0.213203i
\(651\) −11.8794 + 8.67483i −0.465592 + 0.339993i
\(652\) −40.9230 25.6919i −1.60267 1.00617i
\(653\) −12.3616 4.01654i −0.483748 0.157179i 0.0569823 0.998375i \(-0.481852\pi\)
−0.540731 + 0.841196i \(0.681852\pi\)
\(654\) 39.0534 21.7171i 1.52711 0.849206i
\(655\) −11.0180 + 39.7156i −0.430510 + 1.55182i
\(656\) 8.22530 15.3131i 0.321144 0.597875i
\(657\) −5.30672 + 16.6049i −0.207035 + 0.647820i
\(658\) 8.63814 + 15.6225i 0.336750 + 0.609029i
\(659\) 10.4862 + 7.61871i 0.408486 + 0.296783i 0.772989 0.634420i \(-0.218761\pi\)
−0.364502 + 0.931202i \(0.618761\pi\)
\(660\) 23.8481 10.8743i 0.928286 0.423281i
\(661\) 15.1638 11.0172i 0.589804 0.428518i −0.252441 0.967612i \(-0.581233\pi\)
0.842245 + 0.539094i \(0.181233\pi\)
\(662\) 14.6064 + 6.82989i 0.567695 + 0.265451i
\(663\) −0.0357910 14.8176i −0.00139001 0.575467i
\(664\) 36.6007 + 14.1830i 1.42038 + 0.550405i
\(665\) −9.23918 + 33.3036i −0.358280 + 1.29146i
\(666\) −3.74849 3.46916i −0.145251 0.134427i
\(667\) −39.0966 + 12.7033i −1.51383 + 0.491872i
\(668\) 21.4704 8.62188i 0.830715 0.333590i
\(669\) −7.39167 + 10.2256i −0.285778 + 0.395345i
\(670\) −5.80367 9.49518i −0.224215 0.366831i
\(671\) −9.56080 + 29.4251i −0.369090 + 1.13594i
\(672\) 34.0579 + 10.5194i 1.31381 + 0.405795i
\(673\) 10.3419 7.51381i 0.398650 0.289636i −0.370341 0.928896i \(-0.620759\pi\)
0.768991 + 0.639260i \(0.220759\pi\)
\(674\) 8.44392 + 43.6866i 0.325248 + 1.68274i
\(675\) 5.66546 25.3555i 0.218064 0.975935i
\(676\) 20.6071 8.27519i 0.792580 0.318277i
\(677\) 6.24260 + 8.59220i 0.239923 + 0.330225i 0.911950 0.410301i \(-0.134576\pi\)
−0.672028 + 0.740526i \(0.734576\pi\)
\(678\) 6.81847 + 12.2615i 0.261862 + 0.470901i
\(679\) −31.5058 10.2368i −1.20908 0.392854i
\(680\) −32.0581 + 22.7094i −1.22937 + 0.870867i
\(681\) −14.4939 10.4771i −0.555409 0.401482i
\(682\) 10.9678 2.11991i 0.419980 0.0811754i
\(683\) 1.54637 + 4.75925i 0.0591704 + 0.182108i 0.976273 0.216544i \(-0.0694784\pi\)
−0.917103 + 0.398651i \(0.869478\pi\)
\(684\) −21.6543 13.4494i −0.827974 0.514252i
\(685\) 2.42168 0.905177i 0.0925277 0.0345850i
\(686\) −2.68589 + 2.87417i −0.102548 + 0.109736i
\(687\) 16.9618 0.0409703i 0.647135 0.00156312i
\(688\) 4.06846 + 29.8637i 0.155108 + 1.13854i
\(689\) 5.31245 + 7.31197i 0.202388 + 0.278564i
\(690\) −11.1994 + 27.1350i −0.426354 + 1.03301i
\(691\) 16.3409 22.4913i 0.621635 0.855608i −0.375835 0.926686i \(-0.622644\pi\)
0.997471 + 0.0710788i \(0.0226442\pi\)
\(692\) −27.0800 + 22.6255i −1.02943 + 0.860091i
\(693\) 35.1779 + 11.2424i 1.33630 + 0.427063i
\(694\) 2.12965 1.17755i 0.0808405 0.0446990i
\(695\) −0.263843 6.05573i −0.0100081 0.229707i
\(696\) −29.1843 23.6695i −1.10623 0.897189i
\(697\) −8.34152 + 25.6726i −0.315958 + 0.972418i
\(698\) −3.43911 3.21382i −0.130172 0.121645i
\(699\) −7.07408 9.68734i −0.267566 0.366409i
\(700\) 16.4419 + 32.4531i 0.621446 + 1.22661i
\(701\) 46.8467i 1.76938i −0.466183 0.884688i \(-0.654371\pi\)
0.466183 0.884688i \(-0.345629\pi\)
\(702\) 4.22023 9.19855i 0.159282 0.347177i
\(703\) −4.86422 1.58048i −0.183458 0.0596090i
\(704\) −20.0017 18.2405i −0.753841 0.687463i
\(705\) −11.2231 7.39096i −0.422686 0.278360i
\(706\) −16.0070 28.9494i −0.602430 1.08952i
\(707\) 33.9228 1.27580
\(708\) −22.2614 5.54323i −0.836633 0.208327i
\(709\) −14.8196 10.7671i −0.556561 0.404366i 0.273637 0.961833i \(-0.411773\pi\)
−0.830199 + 0.557467i \(0.811773\pi\)
\(710\) −0.844784 0.0674620i −0.0317042 0.00253180i
\(711\) −40.1315 + 13.2542i −1.50505 + 0.497072i
\(712\) −2.61837 0.145546i −0.0981275 0.00545456i
\(713\) −7.35389 + 10.1218i −0.275405 + 0.379063i
\(714\) −54.9518 6.67144i −2.05652 0.249672i
\(715\) 8.68891 + 5.75221i 0.324947 + 0.215121i
\(716\) 8.71826 + 2.19328i 0.325817 + 0.0819668i
\(717\) 22.9234 + 16.5704i 0.856089 + 0.618831i
\(718\) −2.82061 14.5931i −0.105264 0.544608i
\(719\) 2.62080 + 8.06599i 0.0977393 + 0.300811i 0.987958 0.154723i \(-0.0494485\pi\)
−0.890219 + 0.455534i \(0.849448\pi\)
\(720\) −26.3810 + 4.90343i −0.983161 + 0.182740i
\(721\) 0.813149 2.50262i 0.0302833 0.0932023i
\(722\) 1.33343 + 0.165155i 0.0496252 + 0.00614643i
\(723\) −1.84378 + 5.72156i −0.0685710 + 0.212787i
\(724\) −21.6250 + 8.68397i −0.803688 + 0.322737i
\(725\) −3.33551 38.2057i −0.123878 1.41892i
\(726\) −0.806626 0.750144i −0.0299367 0.0278405i
\(727\) 11.1937 + 15.4068i 0.415151 + 0.571406i 0.964465 0.264210i \(-0.0851111\pi\)
−0.549315 + 0.835616i \(0.685111\pi\)
\(728\) 3.62446 + 13.7002i 0.134331 + 0.507764i
\(729\) 8.71472 + 25.5549i 0.322767 + 0.946478i
\(730\) 13.9589 + 11.9498i 0.516644 + 0.442282i
\(731\) −14.4635 44.5142i −0.534953 1.64642i
\(732\) 16.7766 26.8663i 0.620082 0.993007i
\(733\) 6.33566 + 19.4992i 0.234013 + 0.720218i 0.997251 + 0.0741005i \(0.0236085\pi\)
−0.763238 + 0.646118i \(0.776391\pi\)
\(734\) 12.8832 + 6.02409i 0.475526 + 0.222353i
\(735\) −6.39961 + 23.2863i −0.236053 + 0.858926i
\(736\) 30.3158 0.368989i 1.11745 0.0136011i
\(737\) −6.99919 + 9.63356i −0.257819 + 0.354857i
\(738\) −12.5229 + 13.5312i −0.460973 + 0.498089i
\(739\) 29.9597 + 41.2359i 1.10208 + 1.51689i 0.832593 + 0.553886i \(0.186856\pi\)
0.269491 + 0.963003i \(0.413144\pi\)
\(740\) −4.90391 + 2.22180i −0.180271 + 0.0816748i
\(741\) −0.0244791 10.1345i −0.000899264 0.372298i
\(742\) 29.5481 16.3380i 1.08475 0.599788i
\(743\) 3.09294 0.113469 0.0567344 0.998389i \(-0.481931\pi\)
0.0567344 + 0.998389i \(0.481931\pi\)
\(744\) −11.4200 0.607131i −0.418677 0.0222585i
\(745\) −2.89408 + 4.37161i −0.106031 + 0.160163i
\(746\) 3.71879 + 0.460599i 0.136155 + 0.0168637i
\(747\) −33.8002 24.3087i −1.23668 0.889408i
\(748\) 35.6031 + 22.3520i 1.30178 + 0.817270i
\(749\) 21.8546i 0.798549i
\(750\) −22.3127 15.8790i −0.814744 0.579820i
\(751\) 9.33101i 0.340493i 0.985401 + 0.170247i \(0.0544564\pi\)
−0.985401 + 0.170247i \(0.945544\pi\)
\(752\) −2.46778 + 13.6577i −0.0899906 + 0.498046i
\(753\) 10.9679 + 33.4802i 0.399691 + 1.22009i
\(754\) 1.83629 14.8258i 0.0668736 0.539926i
\(755\) 20.1831 30.4872i 0.734538 1.10954i
\(756\) −32.1652 19.8702i −1.16984 0.722672i
\(757\) −47.9510 −1.74281 −0.871404 0.490565i \(-0.836790\pi\)
−0.871404 + 0.490565i \(0.836790\pi\)
\(758\) 8.81166 + 15.9363i 0.320054 + 0.578834i
\(759\) 31.4110 0.0758714i 1.14015 0.00275396i
\(760\) −21.9260 + 15.5321i −0.795341 + 0.563407i
\(761\) −26.9911 37.1500i −0.978425 1.34669i −0.937673 0.347518i \(-0.887025\pi\)
−0.0407519 0.999169i \(-0.512975\pi\)
\(762\) 23.5786 4.61647i 0.854162 0.167237i
\(763\) 39.0103 53.6931i 1.41227 1.94382i
\(764\) −20.7272 + 33.0150i −0.749882 + 1.19444i
\(765\) 38.9613 14.7779i 1.40865 0.534295i
\(766\) −17.5387 + 37.5084i −0.633700 + 1.35523i
\(767\) −2.81845 8.67429i −0.101768 0.313210i
\(768\) 15.3578 + 23.0681i 0.554178 + 0.832398i
\(769\) −0.0861199 0.265050i −0.00310556 0.00955794i 0.949492 0.313792i \(-0.101599\pi\)
−0.952597 + 0.304234i \(0.901599\pi\)
\(770\) 25.3159 29.5723i 0.912321 1.06571i
\(771\) 13.4379 4.40215i 0.483954 0.158540i
\(772\) 1.21835 + 17.9687i 0.0438494 + 0.646709i
\(773\) −19.5865 26.9585i −0.704477 0.969629i −0.999898 0.0142622i \(-0.995460\pi\)
0.295421 0.955367i \(-0.404540\pi\)
\(774\)