Properties

Label 576.2.bm.a.205.71
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.71
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.71

$q$-expansion

\(f(q)\) \(=\) \(q+(1.03047 - 0.968568i) q^{2} +(1.63705 - 0.565742i) q^{3} +(0.123751 - 1.99617i) q^{4} +(-0.289353 - 0.329944i) q^{5} +(1.13898 - 2.16858i) q^{6} +(-0.132159 - 0.0173990i) q^{7} +(-1.80590 - 2.17686i) q^{8} +(2.35987 - 1.85230i) q^{9} +O(q^{10})\) \(q+(1.03047 - 0.968568i) q^{2} +(1.63705 - 0.565742i) q^{3} +(0.123751 - 1.99617i) q^{4} +(-0.289353 - 0.329944i) q^{5} +(1.13898 - 2.16858i) q^{6} +(-0.132159 - 0.0173990i) q^{7} +(-1.80590 - 2.17686i) q^{8} +(2.35987 - 1.85230i) q^{9} +(-0.617744 - 0.0597403i) q^{10} +(-2.45699 - 4.98228i) q^{11} +(-0.926730 - 3.33784i) q^{12} +(1.43540 + 4.22854i) q^{13} +(-0.153038 + 0.110075i) q^{14} +(-0.660349 - 0.376436i) q^{15} +(-3.96937 - 0.494055i) q^{16} +(0.861641 + 0.861641i) q^{17} +(0.637708 - 4.19444i) q^{18} +(-1.11562 + 5.60861i) q^{19} +(-0.694431 + 0.536766i) q^{20} +(-0.226194 + 0.0462846i) q^{21} +(-7.35755 - 2.75435i) q^{22} +(0.478102 + 3.63155i) q^{23} +(-4.18790 - 2.54195i) q^{24} +(0.627493 - 4.76628i) q^{25} +(5.57476 + 2.96712i) q^{26} +(2.81531 - 4.36738i) q^{27} +(-0.0510861 + 0.261658i) q^{28} +(5.16048 - 0.338235i) q^{29} +(-1.04508 + 0.251686i) q^{30} +(6.68600 - 3.86017i) q^{31} +(-4.56886 + 3.33550i) q^{32} +(-6.84091 - 6.76623i) q^{33} +(1.72246 + 0.0533400i) q^{34} +(0.0324998 + 0.0486394i) q^{35} +(-3.40546 - 4.93992i) q^{36} +(0.738679 + 3.71359i) q^{37} +(4.28270 + 6.86008i) q^{38} +(4.74208 + 6.11027i) q^{39} +(-0.195698 + 1.22573i) q^{40} +(0.487315 + 3.70153i) q^{41} +(-0.188257 + 0.266779i) q^{42} +(-3.01870 + 1.48866i) q^{43} +(-10.2495 + 4.28800i) q^{44} +(-1.29399 - 0.242657i) q^{45} +(4.01007 + 3.27914i) q^{46} +(-1.60306 + 0.429538i) q^{47} +(-6.77757 + 1.43685i) q^{48} +(-6.74432 - 1.80713i) q^{49} +(-3.96986 - 5.51930i) q^{50} +(1.89802 + 0.923083i) q^{51} +(8.61850 - 2.34200i) q^{52} +(4.07438 - 6.09773i) q^{53} +(-1.32901 - 7.22729i) q^{54} +(-0.932937 + 2.25231i) q^{55} +(0.200790 + 0.319112i) q^{56} +(1.34670 + 9.81273i) q^{57} +(4.99013 - 5.34682i) q^{58} +(5.53787 + 6.31473i) q^{59} +(-0.833148 + 1.27158i) q^{60} +(0.930015 + 14.1893i) q^{61} +(3.15091 - 10.4536i) q^{62} +(-0.344105 + 0.203738i) q^{63} +(-1.47743 + 7.86239i) q^{64} +(0.979844 - 1.69714i) q^{65} +(-13.6029 - 0.346534i) q^{66} +(-5.53545 - 2.72978i) q^{67} +(1.82661 - 1.61335i) q^{68} +(2.83720 + 5.67454i) q^{69} +(0.0806007 + 0.0186433i) q^{70} +(-4.00752 - 9.67501i) q^{71} +(-8.29389 - 1.79204i) q^{72} +(-2.92418 + 7.05959i) q^{73} +(4.35805 + 3.11130i) q^{74} +(-1.66925 - 8.15765i) q^{75} +(11.0577 + 2.92104i) q^{76} +(0.238026 + 0.701201i) q^{77} +(10.8048 + 1.70344i) q^{78} +(2.29816 + 8.57687i) q^{79} +(0.985539 + 1.45263i) q^{80} +(2.13799 - 8.74237i) q^{81} +(4.08735 + 3.34233i) q^{82} +(1.38882 + 1.21796i) q^{83} +(0.0644002 + 0.457248i) q^{84} +(0.0349748 - 0.533612i) q^{85} +(-1.66882 + 4.45784i) q^{86} +(8.25661 - 3.47321i) q^{87} +(-6.40864 + 14.3460i) q^{88} +(2.54583 - 1.05452i) q^{89} +(-1.56845 + 1.00327i) q^{90} +(-0.116127 - 0.583812i) q^{91} +(7.30834 - 0.504965i) q^{92} +(8.76147 - 10.1018i) q^{93} +(-1.23587 + 1.99530i) q^{94} +(2.17333 - 1.25478i) q^{95} +(-5.59242 + 8.04517i) q^{96} +(11.1186 + 6.41932i) q^{97} +(-8.70017 + 4.67013i) q^{98} +(-15.0269 - 7.20647i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.03047 0.968568i 0.728655 0.684881i
\(3\) 1.63705 0.565742i 0.945152 0.326631i
\(4\) 0.123751 1.99617i 0.0618755 0.998084i
\(5\) −0.289353 0.329944i −0.129403 0.147555i 0.683510 0.729941i \(-0.260453\pi\)
−0.812912 + 0.582386i \(0.802119\pi\)
\(6\) 1.13898 2.16858i 0.464986 0.885318i
\(7\) −0.132159 0.0173990i −0.0499512 0.00657621i 0.105509 0.994418i \(-0.466353\pi\)
−0.155460 + 0.987842i \(0.549686\pi\)
\(8\) −1.80590 2.17686i −0.638483 0.769636i
\(9\) 2.35987 1.85230i 0.786624 0.617432i
\(10\) −0.617744 0.0597403i −0.195348 0.0188915i
\(11\) −2.45699 4.98228i −0.740811 1.50222i −0.860526 0.509407i \(-0.829865\pi\)
0.119715 0.992808i \(-0.461802\pi\)
\(12\) −0.926730 3.33784i −0.267524 0.963551i
\(13\) 1.43540 + 4.22854i 0.398107 + 1.17279i 0.942572 + 0.334002i \(0.108399\pi\)
−0.544465 + 0.838783i \(0.683267\pi\)
\(14\) −0.153038 + 0.110075i −0.0409011 + 0.0294189i
\(15\) −0.660349 0.376436i −0.170501 0.0971953i
\(16\) −3.96937 0.494055i −0.992343 0.123514i
\(17\) 0.861641 + 0.861641i 0.208979 + 0.208979i 0.803833 0.594855i \(-0.202790\pi\)
−0.594855 + 0.803833i \(0.702790\pi\)
\(18\) 0.637708 4.19444i 0.150309 0.988639i
\(19\) −1.11562 + 5.60861i −0.255941 + 1.28670i 0.612326 + 0.790605i \(0.290234\pi\)
−0.868267 + 0.496097i \(0.834766\pi\)
\(20\) −0.694431 + 0.536766i −0.155280 + 0.120025i
\(21\) −0.226194 + 0.0462846i −0.0493595 + 0.0101001i
\(22\) −7.35755 2.75435i −1.56863 0.587229i
\(23\) 0.478102 + 3.63155i 0.0996912 + 0.757230i 0.966150 + 0.257981i \(0.0830572\pi\)
−0.866459 + 0.499249i \(0.833609\pi\)
\(24\) −4.18790 2.54195i −0.854851 0.518874i
\(25\) 0.627493 4.76628i 0.125499 0.953257i
\(26\) 5.57476 + 2.96712i 1.09330 + 0.581900i
\(27\) 2.81531 4.36738i 0.541806 0.840503i
\(28\) −0.0510861 + 0.261658i −0.00965436 + 0.0494486i
\(29\) 5.16048 0.338235i 0.958276 0.0628087i 0.421768 0.906704i \(-0.361410\pi\)
0.536508 + 0.843895i \(0.319743\pi\)
\(30\) −1.04508 + 0.251686i −0.190804 + 0.0459514i
\(31\) 6.68600 3.86017i 1.20084 0.693306i 0.240099 0.970748i \(-0.422820\pi\)
0.960742 + 0.277442i \(0.0894867\pi\)
\(32\) −4.56886 + 3.33550i −0.807668 + 0.589638i
\(33\) −6.84091 6.76623i −1.19085 1.17785i
\(34\) 1.72246 + 0.0533400i 0.295399 + 0.00914773i
\(35\) 0.0324998 + 0.0486394i 0.00549347 + 0.00822156i
\(36\) −3.40546 4.93992i −0.567577 0.823321i
\(37\) 0.738679 + 3.71359i 0.121438 + 0.610510i 0.992791 + 0.119855i \(0.0382428\pi\)
−0.871353 + 0.490656i \(0.836757\pi\)
\(38\) 4.28270 + 6.86008i 0.694746 + 1.11285i
\(39\) 4.74208 + 6.11027i 0.759340 + 0.978426i
\(40\) −0.195698 + 1.22573i −0.0309426 + 0.193805i
\(41\) 0.487315 + 3.70153i 0.0761059 + 0.578082i 0.986430 + 0.164185i \(0.0524993\pi\)
−0.910324 + 0.413897i \(0.864167\pi\)
\(42\) −0.188257 + 0.266779i −0.0290486 + 0.0411649i
\(43\) −3.01870 + 1.48866i −0.460347 + 0.227018i −0.657649 0.753325i \(-0.728449\pi\)
0.197302 + 0.980343i \(0.436782\pi\)
\(44\) −10.2495 + 4.28800i −1.54517 + 0.646441i
\(45\) −1.29399 0.242657i −0.192897 0.0361732i
\(46\) 4.01007 + 3.27914i 0.591253 + 0.483482i
\(47\) −1.60306 + 0.429538i −0.233830 + 0.0626545i −0.373831 0.927497i \(-0.621956\pi\)
0.140001 + 0.990151i \(0.455289\pi\)
\(48\) −6.77757 + 1.43685i −0.978258 + 0.207391i
\(49\) −6.74432 1.80713i −0.963474 0.258162i
\(50\) −3.96986 5.51930i −0.561422 0.780547i
\(51\) 1.89802 + 0.923083i 0.265775 + 0.129258i
\(52\) 8.61850 2.34200i 1.19517 0.324778i
\(53\) 4.07438 6.09773i 0.559659 0.837588i −0.438469 0.898746i \(-0.644479\pi\)
0.998128 + 0.0611578i \(0.0194793\pi\)
\(54\) −1.32901 7.22729i −0.180855 0.983510i
\(55\) −0.932937 + 2.25231i −0.125797 + 0.303701i
\(56\) 0.200790 + 0.319112i 0.0268317 + 0.0426431i
\(57\) 1.34670 + 9.81273i 0.178374 + 1.29973i
\(58\) 4.99013 5.34682i 0.655236 0.702071i
\(59\) 5.53787 + 6.31473i 0.720969 + 0.822107i 0.990006 0.141022i \(-0.0450390\pi\)
−0.269038 + 0.963130i \(0.586706\pi\)
\(60\) −0.833148 + 1.27158i −0.107559 + 0.164161i
\(61\) 0.930015 + 14.1893i 0.119076 + 1.81675i 0.472546 + 0.881306i \(0.343335\pi\)
−0.353470 + 0.935446i \(0.614998\pi\)
\(62\) 3.15091 10.4536i 0.400167 1.32761i
\(63\) −0.344105 + 0.203738i −0.0433532 + 0.0256685i
\(64\) −1.47743 + 7.86239i −0.184679 + 0.982799i
\(65\) 0.979844 1.69714i 0.121535 0.210504i
\(66\) −13.6029 0.346534i −1.67440 0.0426554i
\(67\) −5.53545 2.72978i −0.676263 0.333496i 0.0715200 0.997439i \(-0.477215\pi\)
−0.747783 + 0.663943i \(0.768882\pi\)
\(68\) 1.82661 1.61335i 0.221509 0.195648i
\(69\) 2.83720 + 5.67454i 0.341558 + 0.683135i
\(70\) 0.0806007 + 0.0186433i 0.00963363 + 0.00222830i
\(71\) −4.00752 9.67501i −0.475605 1.14821i −0.961650 0.274279i \(-0.911561\pi\)
0.486045 0.873934i \(-0.338439\pi\)
\(72\) −8.29389 1.79204i −0.977444 0.211194i
\(73\) −2.92418 + 7.05959i −0.342249 + 0.826262i 0.655239 + 0.755422i \(0.272568\pi\)
−0.997488 + 0.0708402i \(0.977432\pi\)
\(74\) 4.35805 + 3.11130i 0.506614 + 0.361681i
\(75\) −1.66925 8.15765i −0.192748 0.941964i
\(76\) 11.0577 + 2.92104i 1.26840 + 0.335066i
\(77\) 0.238026 + 0.701201i 0.0271255 + 0.0799092i
\(78\) 10.8048 + 1.70344i 1.22340 + 0.192877i
\(79\) 2.29816 + 8.57687i 0.258564 + 0.964973i 0.966073 + 0.258269i \(0.0831521\pi\)
−0.707509 + 0.706704i \(0.750181\pi\)
\(80\) 0.985539 + 1.45263i 0.110187 + 0.162409i
\(81\) 2.13799 8.74237i 0.237554 0.971374i
\(82\) 4.08735 + 3.34233i 0.451372 + 0.369098i
\(83\) 1.38882 + 1.21796i 0.152442 + 0.133688i 0.732170 0.681122i \(-0.238508\pi\)
−0.579728 + 0.814810i \(0.696841\pi\)
\(84\) 0.0644002 + 0.457248i 0.00702664 + 0.0498899i
\(85\) 0.0349748 0.533612i 0.00379354 0.0578783i
\(86\) −1.66882 + 4.45784i −0.179954 + 0.480701i
\(87\) 8.25661 3.47321i 0.885201 0.372367i
\(88\) −6.40864 + 14.3460i −0.683164 + 1.52929i
\(89\) 2.54583 1.05452i 0.269857 0.111778i −0.243652 0.969863i \(-0.578345\pi\)
0.513509 + 0.858084i \(0.328345\pi\)
\(90\) −1.56845 + 1.00327i −0.165329 + 0.105754i
\(91\) −0.116127 0.583812i −0.0121735 0.0612001i
\(92\) 7.30834 0.504965i 0.761947 0.0526462i
\(93\) 8.76147 10.1018i 0.908522 1.04751i
\(94\) −1.23587 + 1.99530i −0.127470 + 0.205799i
\(95\) 2.17333 1.25478i 0.222979 0.128737i
\(96\) −5.59242 + 8.04517i −0.570774 + 0.821107i
\(97\) 11.1186 + 6.41932i 1.12892 + 0.651784i 0.943664 0.330906i \(-0.107354\pi\)
0.185259 + 0.982690i \(0.440688\pi\)
\(98\) −8.70017 + 4.67013i −0.878850 + 0.471754i
\(99\) −15.0269 7.20647i −1.51026 0.724278i
\(100\) −9.43665 1.84241i −0.943665 0.184241i
\(101\) 11.1243 + 3.77619i 1.10691 + 0.375745i 0.814274 0.580480i \(-0.197135\pi\)
0.292633 + 0.956225i \(0.405468\pi\)
\(102\) 2.84993 0.887146i 0.282185 0.0878405i
\(103\) −14.6585 11.2479i −1.44435 1.10829i −0.974196 0.225704i \(-0.927532\pi\)
−0.470154 0.882584i \(-0.655802\pi\)
\(104\) 6.61275 10.7610i 0.648433 1.05520i
\(105\) 0.0807212 + 0.0612386i 0.00787758 + 0.00597628i
\(106\) −1.70754 10.2299i −0.165851 0.993612i
\(107\) −14.3081 9.56036i −1.38322 0.924235i −1.00000 0.000576004i \(-0.999817\pi\)
−0.383216 0.923659i \(-0.625183\pi\)
\(108\) −8.36963 6.16029i −0.805368 0.592775i
\(109\) −0.673689 + 3.38687i −0.0645277 + 0.324403i −0.999544 0.0302025i \(-0.990385\pi\)
0.935016 + 0.354605i \(0.115385\pi\)
\(110\) 1.22015 + 3.22456i 0.116337 + 0.307449i
\(111\) 3.31019 + 5.66143i 0.314189 + 0.537360i
\(112\) 0.515990 + 0.134357i 0.0487565 + 0.0126955i
\(113\) −4.27062 1.14431i −0.401746 0.107647i 0.0522877 0.998632i \(-0.483349\pi\)
−0.454034 + 0.890985i \(0.650015\pi\)
\(114\) 10.8920 + 8.80739i 1.02013 + 0.824888i
\(115\) 1.05987 1.20855i 0.0988330 0.112697i
\(116\) −0.0365609 10.3430i −0.00339459 0.960326i
\(117\) 11.2199 + 7.32003i 1.03728 + 0.676737i
\(118\) 11.8229 + 1.14336i 1.08838 + 0.105254i
\(119\) −0.0988815 0.128865i −0.00906446 0.0118130i
\(120\) 0.373078 + 2.11729i 0.0340572 + 0.193282i
\(121\) −12.0900 + 15.7560i −1.09909 + 1.43236i
\(122\) 14.7016 + 13.7209i 1.33102 + 1.24223i
\(123\) 2.89187 + 5.78390i 0.260751 + 0.521516i
\(124\) −6.87814 13.8241i −0.617675 1.24144i
\(125\) −3.57862 + 2.39116i −0.320082 + 0.213872i
\(126\) −0.157258 + 0.543236i −0.0140096 + 0.0483953i
\(127\) 8.56650 0.760154 0.380077 0.924955i \(-0.375898\pi\)
0.380077 + 0.924955i \(0.375898\pi\)
\(128\) 6.09281 + 9.53298i 0.538533 + 0.842604i
\(129\) −4.09957 + 4.14481i −0.360947 + 0.364930i
\(130\) −0.634093 2.69790i −0.0556136 0.236622i
\(131\) −6.03958 2.97839i −0.527680 0.260223i 0.158878 0.987298i \(-0.449212\pi\)
−0.686558 + 0.727075i \(0.740879\pi\)
\(132\) −14.3531 + 12.8183i −1.24928 + 1.11569i
\(133\) 0.245023 0.721815i 0.0212462 0.0625893i
\(134\) −8.34812 + 2.54849i −0.721167 + 0.220156i
\(135\) −2.25561 + 0.334822i −0.194132 + 0.0288169i
\(136\) 0.319631 3.43171i 0.0274081 0.294267i
\(137\) −4.81723 6.27794i −0.411564 0.536361i 0.540870 0.841106i \(-0.318095\pi\)
−0.952434 + 0.304746i \(0.901429\pi\)
\(138\) 8.41984 + 3.09945i 0.716744 + 0.263843i
\(139\) 15.9050 + 1.04247i 1.34904 + 0.0884208i 0.722718 0.691143i \(-0.242893\pi\)
0.626323 + 0.779564i \(0.284559\pi\)
\(140\) 0.101114 0.0588559i 0.00854571 0.00497423i
\(141\) −2.38128 + 1.61009i −0.200540 + 0.135594i
\(142\) −13.5006 6.08829i −1.13294 0.510918i
\(143\) 17.5410 17.5410i 1.46685 1.46685i
\(144\) −10.2823 + 6.18655i −0.856862 + 0.515546i
\(145\) −1.60480 1.60480i −0.133271 0.133271i
\(146\) 3.82441 + 10.1070i 0.316510 + 0.836460i
\(147\) −12.0632 + 0.857174i −0.994953 + 0.0706985i
\(148\) 7.50436 1.01497i 0.616855 0.0834298i
\(149\) −0.202030 + 3.08239i −0.0165510 + 0.252519i 0.981563 + 0.191137i \(0.0612175\pi\)
−0.998114 + 0.0613821i \(0.980449\pi\)
\(150\) −9.62136 6.78946i −0.785580 0.554357i
\(151\) 2.29263 1.75920i 0.186571 0.143161i −0.511253 0.859430i \(-0.670818\pi\)
0.697824 + 0.716269i \(0.254152\pi\)
\(152\) 14.2238 7.70005i 1.15371 0.624556i
\(153\) 3.62938 + 0.437347i 0.293418 + 0.0353574i
\(154\) 0.924440 + 0.492025i 0.0744935 + 0.0396485i
\(155\) −3.20825 1.08906i −0.257693 0.0874750i
\(156\) 12.7840 8.70983i 1.02354 0.697344i
\(157\) −7.78202 + 15.7804i −0.621073 + 1.25941i 0.328096 + 0.944644i \(0.393593\pi\)
−0.949169 + 0.314767i \(0.898074\pi\)
\(158\) 10.6755 + 6.61230i 0.849295 + 0.526047i
\(159\) 3.22022 12.2873i 0.255380 0.974450i
\(160\) 2.42254 + 0.542331i 0.191519 + 0.0428750i
\(161\) 0.488258i 0.0384802i
\(162\) −6.26444 11.0796i −0.492181 0.870493i
\(163\) −9.69783 14.5138i −0.759592 1.13681i −0.986638 0.162926i \(-0.947907\pi\)
0.227046 0.973884i \(-0.427093\pi\)
\(164\) 7.44918 0.514696i 0.581683 0.0401910i
\(165\) −0.253039 + 4.21495i −0.0196991 + 0.328133i
\(166\) 2.61081 0.0900888i 0.202638 0.00699225i
\(167\) −8.47092 6.49997i −0.655500 0.502983i 0.226635 0.973980i \(-0.427228\pi\)
−0.882135 + 0.470997i \(0.843894\pi\)
\(168\) 0.509239 + 0.408806i 0.0392886 + 0.0315401i
\(169\) −5.50658 + 4.22535i −0.423583 + 0.325027i
\(170\) −0.480799 0.583748i −0.0368756 0.0447714i
\(171\) 7.75608 + 15.3021i 0.593123 + 1.17018i
\(172\) 2.59804 + 6.21005i 0.198099 + 0.473512i
\(173\) 1.05509 + 0.925290i 0.0802171 + 0.0703485i 0.698515 0.715595i \(-0.253844\pi\)
−0.618298 + 0.785943i \(0.712178\pi\)
\(174\) 5.14418 11.5761i 0.389979 0.877585i
\(175\) −0.165857 + 0.618988i −0.0125376 + 0.0467911i
\(176\) 7.29118 + 20.9904i 0.549594 + 1.58221i
\(177\) 12.6383 + 7.20452i 0.949951 + 0.541525i
\(178\) 1.60204 3.55246i 0.120078 0.266268i
\(179\) 14.8149 + 2.94687i 1.10732 + 0.220259i 0.714693 0.699439i \(-0.246567\pi\)
0.392626 + 0.919698i \(0.371567\pi\)
\(180\) −0.644517 + 2.55299i −0.0480395 + 0.190289i
\(181\) −14.3059 + 21.4103i −1.06335 + 1.59142i −0.290449 + 0.956891i \(0.593805\pi\)
−0.772902 + 0.634526i \(0.781195\pi\)
\(182\) −0.685128 0.489125i −0.0507851 0.0362564i
\(183\) 9.54996 + 22.7024i 0.705953 + 1.67821i
\(184\) 7.04196 7.59898i 0.519140 0.560204i
\(185\) 1.01154 1.31826i 0.0743697 0.0969205i
\(186\) −0.755862 18.8958i −0.0554225 1.38550i
\(187\) 2.17590 6.40998i 0.159117 0.468744i
\(188\) 0.659050 + 3.25313i 0.0480661 + 0.237259i
\(189\) −0.448055 + 0.528204i −0.0325912 + 0.0384212i
\(190\) 1.02423 3.39803i 0.0743053 0.246519i
\(191\) −2.82796 + 4.89817i −0.204624 + 0.354419i −0.950013 0.312211i \(-0.898931\pi\)
0.745389 + 0.666630i \(0.232264\pi\)
\(192\) 2.02946 + 13.7070i 0.146463 + 0.989216i
\(193\) −7.70220 13.3406i −0.554417 0.960278i −0.997949 0.0640195i \(-0.979608\pi\)
0.443532 0.896259i \(-0.353725\pi\)
\(194\) 17.6750 4.15418i 1.26899 0.298252i
\(195\) 0.643911 3.33264i 0.0461115 0.238656i
\(196\) −4.44196 + 13.2392i −0.317283 + 0.945654i
\(197\) −13.9454 + 2.77392i −0.993572 + 0.197634i −0.664999 0.746845i \(-0.731568\pi\)
−0.328574 + 0.944478i \(0.606568\pi\)
\(198\) −22.4647 + 7.12846i −1.59650 + 0.506597i
\(199\) −2.61262 6.30743i −0.185204 0.447122i 0.803821 0.594871i \(-0.202797\pi\)
−0.989025 + 0.147750i \(0.952797\pi\)
\(200\) −11.5087 + 7.24148i −0.813789 + 0.512050i
\(201\) −10.6062 1.33715i −0.748101 0.0943156i
\(202\) 15.1208 6.88337i 1.06389 0.484312i
\(203\) −0.687886 0.0450864i −0.0482801 0.00316445i
\(204\) 2.07751 3.67453i 0.145455 0.257268i
\(205\) 1.08029 1.23184i 0.0754508 0.0860351i
\(206\) −25.9996 + 2.60714i −1.81148 + 0.181648i
\(207\) 7.85496 + 7.68440i 0.545958 + 0.534102i
\(208\) −3.60848 17.4938i −0.250203 1.21298i
\(209\) 30.6847 8.22195i 2.12251 0.568724i
\(210\) 0.142495 0.0150792i 0.00983308 0.00104056i
\(211\) 11.8146 4.01051i 0.813350 0.276095i 0.116389 0.993204i \(-0.462868\pi\)
0.696961 + 0.717109i \(0.254535\pi\)
\(212\) −11.6679 8.88774i −0.801354 0.610412i
\(213\) −12.0341 13.5713i −0.824562 0.929888i
\(214\) −24.0040 + 4.00667i −1.64088 + 0.273890i
\(215\) 1.36464 + 0.565254i 0.0930679 + 0.0385500i
\(216\) −14.5914 + 1.75854i −0.992816 + 0.119654i
\(217\) −0.950776 + 0.393824i −0.0645429 + 0.0267345i
\(218\) 2.58619 + 4.14259i 0.175159 + 0.280572i
\(219\) −0.793120 + 13.2112i −0.0535941 + 0.892732i
\(220\) 4.38053 + 2.14102i 0.295336 + 0.144348i
\(221\) −2.40669 + 4.88028i −0.161891 + 0.328283i
\(222\) 8.89455 + 2.62781i 0.596963 + 0.176367i
\(223\) −2.28282 1.31799i −0.152869 0.0882589i 0.421614 0.906775i \(-0.361464\pi\)
−0.574483 + 0.818516i \(0.694797\pi\)
\(224\) 0.661848 0.361321i 0.0442216 0.0241418i
\(225\) −7.34777 12.4101i −0.489851 0.827341i
\(226\) −5.50910 + 2.95720i −0.366460 + 0.196710i
\(227\) −24.9558 + 1.63569i −1.65638 + 0.108565i −0.864671 0.502339i \(-0.832473\pi\)
−0.791705 + 0.610903i \(0.790806\pi\)
\(228\) 19.7545 1.47390i 1.30827 0.0976112i
\(229\) −8.33315 + 7.30798i −0.550670 + 0.482925i −0.888876 0.458147i \(-0.848513\pi\)
0.338206 + 0.941072i \(0.390180\pi\)
\(230\) −0.0783952 2.27193i −0.00516922 0.149806i
\(231\) 0.786359 + 1.01324i 0.0517386 + 0.0666663i
\(232\) −10.0556 10.6228i −0.660183 0.697422i
\(233\) 23.4859 + 9.72818i 1.53861 + 0.637314i 0.981213 0.192929i \(-0.0617988\pi\)
0.557401 + 0.830244i \(0.311799\pi\)
\(234\) 18.6517 3.32410i 1.21930 0.217304i
\(235\) 0.605573 + 0.404631i 0.0395032 + 0.0263952i
\(236\) 13.2906 10.2731i 0.865142 0.668719i
\(237\) 8.61451 + 12.7406i 0.559572 + 0.827591i
\(238\) −0.226709 0.0370184i −0.0146954 0.00239954i
\(239\) 4.06684 15.1776i 0.263062 0.981760i −0.700364 0.713786i \(-0.746979\pi\)
0.963426 0.267974i \(-0.0863542\pi\)
\(240\) 2.43519 + 1.82046i 0.157191 + 0.117510i
\(241\) −4.52536 16.8889i −0.291504 1.08791i −0.943954 0.330076i \(-0.892926\pi\)
0.652450 0.757831i \(-0.273741\pi\)
\(242\) 2.80233 + 27.9461i 0.180140 + 1.79644i
\(243\) −1.44593 15.5213i −0.0927565 0.995689i
\(244\) 28.4393 0.100528i 1.82064 0.00643565i
\(245\) 1.35524 + 2.74815i 0.0865829 + 0.175573i
\(246\) 8.58209 + 3.15918i 0.547174 + 0.201422i
\(247\) −25.3176 + 3.33312i −1.61092 + 0.212081i
\(248\) −20.4773 7.58340i −1.30031 0.481547i
\(249\) 2.96261 + 1.20815i 0.187748 + 0.0765633i
\(250\) −1.37167 + 5.93016i −0.0867523 + 0.375056i
\(251\) −6.59279 + 1.31139i −0.416133 + 0.0827741i −0.398717 0.917074i \(-0.630544\pi\)
−0.0174169 + 0.999848i \(0.505544\pi\)
\(252\) 0.364111 + 0.712105i 0.0229368 + 0.0448584i
\(253\) 16.9187 11.3047i 1.06367 0.710721i
\(254\) 8.82755 8.29724i 0.553890 0.520615i
\(255\) −0.244631 0.893336i −0.0153194 0.0559429i
\(256\) 15.5118 + 3.92218i 0.969489 + 0.245136i
\(257\) −8.16622 14.1443i −0.509395 0.882298i −0.999941 0.0108823i \(-0.996536\pi\)
0.490546 0.871415i \(-0.336797\pi\)
\(258\) −0.209960 + 8.24183i −0.0130716 + 0.513114i
\(259\) −0.0330100 0.503635i −0.00205114 0.0312944i
\(260\) −3.26652 2.16596i −0.202581 0.134327i
\(261\) 11.5515 10.3569i 0.715023 0.641078i
\(262\) −9.10840 + 2.78059i −0.562719 + 0.171785i
\(263\) −5.25545 0.691893i −0.324065 0.0426639i −0.0332611 0.999447i \(-0.510589\pi\)
−0.290804 + 0.956783i \(0.593923\pi\)
\(264\) −2.37512 + 27.1108i −0.146178 + 1.66856i
\(265\) −3.19084 + 0.420083i −0.196012 + 0.0258055i
\(266\) −0.446637 0.981133i −0.0273851 0.0601571i
\(267\) 3.57106 3.16658i 0.218546 0.193791i
\(268\) −6.13412 + 10.7119i −0.374701 + 0.654332i
\(269\) −3.00973 0.598673i −0.183507 0.0365017i 0.102481 0.994735i \(-0.467322\pi\)
−0.285988 + 0.958233i \(0.592322\pi\)
\(270\) −2.00005 + 2.52974i −0.121719 + 0.153955i
\(271\) −8.32687 + 8.32687i −0.505821 + 0.505821i −0.913241 0.407420i \(-0.866429\pi\)
0.407420 + 0.913241i \(0.366429\pi\)
\(272\) −2.99447 3.84587i −0.181567 0.233190i
\(273\) −0.520394 0.890032i −0.0314957 0.0538672i
\(274\) −11.0446 1.80343i −0.667232 0.108949i
\(275\) −25.2887 + 8.58437i −1.52497 + 0.517657i
\(276\) 11.6784 4.96129i 0.702960 0.298635i
\(277\) −13.5928 + 6.70325i −0.816715 + 0.402759i −0.802141 0.597135i \(-0.796306\pi\)
−0.0145736 + 0.999894i \(0.504639\pi\)
\(278\) 17.3993 14.3308i 1.04354 0.859504i
\(279\) 8.62793 21.4940i 0.516541 1.28681i
\(280\) 0.0471896 0.158585i 0.00282012 0.00947729i
\(281\) 2.87788 21.8597i 0.171680 1.30404i −0.661042 0.750349i \(-0.729886\pi\)
0.832722 0.553691i \(-0.186781\pi\)
\(282\) −0.894360 + 3.96559i −0.0532583 + 0.236147i
\(283\) 0.558998 0.490228i 0.0332290 0.0291410i −0.642570 0.766227i \(-0.722132\pi\)
0.675799 + 0.737086i \(0.263799\pi\)
\(284\) −19.8089 + 6.80239i −1.17544 + 0.403648i
\(285\) 2.84798 3.28368i 0.168700 0.194508i
\(286\) 1.08588 35.0652i 0.0642094 2.07345i
\(287\) 0.497668i 0.0293764i
\(288\) −4.60359 + 16.3342i −0.271269 + 0.962504i
\(289\) 15.5151i 0.912656i
\(290\) −3.20806 0.0993453i −0.188384 0.00583375i
\(291\) 21.8334 + 4.21850i 1.27990 + 0.247293i
\(292\) 13.7302 + 6.71078i 0.803502 + 0.392719i
\(293\) −1.99962 + 1.75362i −0.116819 + 0.102448i −0.715763 0.698344i \(-0.753921\pi\)
0.598943 + 0.800791i \(0.295587\pi\)
\(294\) −11.6005 + 12.5673i −0.676557 + 0.732939i
\(295\) 0.481107 3.65437i 0.0280111 0.212766i
\(296\) 6.74998 8.31438i 0.392335 0.483264i
\(297\) −28.6767 3.29604i −1.66399 0.191256i
\(298\) 2.77732 + 3.37200i 0.160886 + 0.195335i
\(299\) −14.6699 + 7.23438i −0.848380 + 0.418375i
\(300\) −16.4906 + 2.32258i −0.952086 + 0.134095i
\(301\) 0.424848 0.144216i 0.0244878 0.00831250i
\(302\) 0.658591 4.03337i 0.0378977 0.232094i
\(303\) 20.3474 0.111668i 1.16893 0.00641517i
\(304\) 7.19928 21.7115i 0.412907 1.24524i
\(305\) 4.41257 4.41257i 0.252663 0.252663i
\(306\) 4.16358 3.06463i 0.238016 0.175193i
\(307\) −30.8181 6.13010i −1.75888 0.349863i −0.793075 0.609124i \(-0.791521\pi\)
−0.965807 + 0.259260i \(0.916521\pi\)
\(308\) 1.42917 0.388365i 0.0814345 0.0221291i
\(309\) −30.3602 10.1204i −1.72713 0.575731i
\(310\) −4.36084 + 1.98517i −0.247679 + 0.112750i
\(311\) −18.2161 + 2.39820i −1.03294 + 0.135989i −0.627888 0.778304i \(-0.716080\pi\)
−0.405054 + 0.914293i \(0.632747\pi\)
\(312\) 4.73746 21.3574i 0.268206 1.20912i
\(313\) 20.2530 + 2.66635i 1.14477 + 0.150711i 0.678960 0.734176i \(-0.262431\pi\)
0.465806 + 0.884887i \(0.345764\pi\)
\(314\) 7.26521 + 23.7987i 0.409999 + 1.34304i
\(315\) 0.166790 + 0.0545834i 0.00939755 + 0.00307543i
\(316\) 17.4053 3.52613i 0.979123 0.198360i
\(317\) 0.926473 + 14.1352i 0.0520359 + 0.793914i 0.941522 + 0.336952i \(0.109396\pi\)
−0.889486 + 0.456962i \(0.848937\pi\)
\(318\) −8.58279 15.7808i −0.481299 0.884943i
\(319\) −14.3644 24.8799i −0.804253 1.39301i
\(320\) 3.02165 1.78754i 0.168915 0.0999264i
\(321\) −28.8318 7.55611i −1.60923 0.421741i
\(322\) −0.472912 0.503137i −0.0263543 0.0280388i
\(323\) −5.79387 + 3.87134i −0.322380 + 0.215407i
\(324\) −17.1867 5.34966i −0.954814 0.297203i
\(325\) 21.0551 4.18812i 1.16793 0.232315i
\(326\) −24.0510 5.56310i −1.33206 0.308112i
\(327\) 0.813229 + 5.92561i 0.0449716 + 0.327687i
\(328\) 7.17766 7.74542i 0.396320 0.427669i
\(329\) 0.219331 0.0288755i 0.0120921 0.00159196i
\(330\) 3.82171 + 4.58847i 0.210378 + 0.252587i
\(331\) 1.87901 + 3.81025i 0.103280 + 0.209430i 0.942379 0.334548i \(-0.108584\pi\)
−0.839099 + 0.543979i \(0.816917\pi\)
\(332\) 2.60312 2.62159i 0.142865 0.143878i
\(333\) 8.62186 + 7.39534i 0.472475 + 0.405262i
\(334\) −15.0247 + 1.50662i −0.822116 + 0.0824388i
\(335\) 0.701025 + 2.61626i 0.0383011 + 0.142942i
\(336\) 0.920714 0.0719686i 0.0502291 0.00392621i
\(337\) 2.42891 9.06481i 0.132311 0.493792i −0.867683 0.497117i \(-0.834392\pi\)
0.999994 + 0.00332542i \(0.00105852\pi\)
\(338\) −1.58185 + 9.68760i −0.0860411 + 0.526936i
\(339\) −7.63860 + 0.542777i −0.414872 + 0.0294796i
\(340\) −1.06085 0.135850i −0.0575327 0.00736752i
\(341\) −35.6599 23.8272i −1.93109 1.29031i
\(342\) 22.8135 + 8.25606i 1.23361 + 0.446437i
\(343\) 1.72194 + 0.713252i 0.0929762 + 0.0385120i
\(344\) 8.69207 + 3.88291i 0.468645 + 0.209353i
\(345\) 1.05133 2.57806i 0.0566017 0.138798i
\(346\) 1.98345 0.0684409i 0.106631 0.00367941i
\(347\) −15.9938 + 14.0262i −0.858590 + 0.752963i −0.970588 0.240745i \(-0.922608\pi\)
0.111998 + 0.993708i \(0.464275\pi\)
\(348\) −5.91134 16.9114i −0.316881 0.906546i
\(349\) −29.7257 + 1.94833i −1.59118 + 0.104291i −0.835067 0.550149i \(-0.814571\pi\)
−0.756114 + 0.654440i \(0.772904\pi\)
\(350\) 0.428620 + 0.798494i 0.0229107 + 0.0426813i
\(351\) 22.5087 + 5.63571i 1.20143 + 0.300812i
\(352\) 27.8440 + 14.5681i 1.48409 + 0.776481i
\(353\) −6.01273 3.47145i −0.320025 0.184767i 0.331379 0.943498i \(-0.392486\pi\)
−0.651404 + 0.758731i \(0.725820\pi\)
\(354\) 20.0015 4.81696i 1.06307 0.256019i
\(355\) −2.03262 + 4.12175i −0.107880 + 0.218760i
\(356\) −1.78994 5.21239i −0.0948667 0.276256i
\(357\) −0.234778 0.155017i −0.0124258 0.00820437i
\(358\) 18.1206 11.3126i 0.957705 0.597889i
\(359\) 13.8067 5.71894i 0.728692 0.301834i 0.0126777 0.999920i \(-0.495964\pi\)
0.716014 + 0.698085i \(0.245964\pi\)
\(360\) 1.80859 + 3.25505i 0.0953211 + 0.171556i
\(361\) −12.6581 5.24317i −0.666218 0.275957i
\(362\) 5.99549 + 35.9190i 0.315116 + 1.88786i
\(363\) −10.8781 + 32.6331i −0.570952 + 1.71279i
\(364\) −1.17976 + 0.159563i −0.0618361 + 0.00836335i
\(365\) 3.17539 1.07790i 0.166207 0.0564198i
\(366\) 31.8298 + 14.1445i 1.66377 + 0.739343i
\(367\) 32.5747 8.72837i 1.70039 0.455617i 0.727350 0.686267i \(-0.240752\pi\)
0.973037 + 0.230650i \(0.0740853\pi\)
\(368\) −0.103580 14.6512i −0.00539949 0.763745i
\(369\) 8.00633 + 7.83248i 0.416793 + 0.407743i
\(370\) −0.234464 2.33818i −0.0121892 0.121556i
\(371\) −0.644558 + 0.734978i −0.0334638 + 0.0381582i
\(372\) −19.0807 18.7395i −0.989290 0.971597i
\(373\) 18.9378 + 1.24125i 0.980562 + 0.0642694i 0.547245 0.836972i \(-0.315676\pi\)
0.433317 + 0.901242i \(0.357343\pi\)
\(374\) −3.96630 8.71282i −0.205093 0.450529i
\(375\) −4.50561 + 5.93902i −0.232668 + 0.306690i
\(376\) 3.83001 + 2.71393i 0.197518 + 0.139960i
\(377\) 8.83756 + 21.3358i 0.455158 + 1.09885i
\(378\) 0.0498925 + 0.978272i 0.00256619 + 0.0503169i
\(379\) 8.15299 1.62173i 0.418791 0.0833027i 0.0188033 0.999823i \(-0.494014\pi\)
0.399988 + 0.916520i \(0.369014\pi\)
\(380\) −2.23579 4.49362i −0.114694 0.230518i
\(381\) 14.0238 4.84643i 0.718461 0.248290i
\(382\) 1.83008 + 7.78651i 0.0936348 + 0.398393i
\(383\) 3.83417 + 6.64098i 0.195917 + 0.339338i 0.947201 0.320641i \(-0.103898\pi\)
−0.751284 + 0.659979i \(0.770565\pi\)
\(384\) 15.3674 + 12.1590i 0.784217 + 0.620487i
\(385\) 0.162484 0.281430i 0.00828093 0.0143430i
\(386\) −20.8582 6.28703i −1.06165 0.320002i
\(387\) −4.36630 + 9.10457i −0.221952 + 0.462811i
\(388\) 14.1900 21.4002i 0.720387 1.08643i
\(389\) 11.4338 33.6830i 0.579718 1.70779i −0.119453 0.992840i \(-0.538114\pi\)
0.699171 0.714954i \(-0.253552\pi\)
\(390\) −2.56436 4.05787i −0.129851 0.205478i
\(391\) −2.71714 + 3.54104i −0.137411 + 0.179078i
\(392\) 8.24570 + 17.9449i 0.416471 + 0.906356i
\(393\) −11.5721 1.45893i −0.583735 0.0735934i
\(394\) −11.6837 + 16.3656i −0.588615 + 0.824486i
\(395\) 2.16490 3.24001i 0.108928 0.163023i
\(396\) −16.2449 + 29.1043i −0.816338 + 1.46255i
\(397\) −5.81172 1.15602i −0.291682 0.0580192i 0.0470804 0.998891i \(-0.485008\pi\)
−0.338762 + 0.940872i \(0.610008\pi\)
\(398\) −8.80141 3.96913i −0.441175 0.198955i
\(399\) −0.00724575 1.32027i −0.000362741 0.0660960i
\(400\) −4.84556 + 18.6091i −0.242278 + 0.930457i
\(401\) −5.37775 + 20.0700i −0.268552 + 1.00225i 0.691488 + 0.722388i \(0.256955\pi\)
−0.960040 + 0.279862i \(0.909711\pi\)
\(402\) −12.2245 + 8.89490i −0.609703 + 0.443637i
\(403\) 25.9199 + 22.7312i 1.29116 + 1.13232i
\(404\) 8.91454 21.7386i 0.443515 1.08154i
\(405\) −3.50313 + 1.82421i −0.174072 + 0.0906460i
\(406\) −0.752518 + 0.619804i −0.0373468 + 0.0307604i
\(407\) 16.6872 12.8046i 0.827156 0.634699i
\(408\) −1.41821 5.79871i −0.0702119 0.287079i
\(409\) 10.8513 + 8.32650i 0.536563 + 0.411719i 0.841179 0.540756i \(-0.181862\pi\)
−0.304617 + 0.952475i \(0.598528\pi\)
\(410\) −0.0799059 2.31571i −0.00394627 0.114365i
\(411\) −11.4378 7.55200i −0.564183 0.372513i
\(412\) −24.2667 + 27.8690i −1.19553 + 1.37301i
\(413\) −0.622007 0.930899i −0.0306069 0.0458065i
\(414\) 15.5372 + 0.310497i 0.763611 + 0.0152601i
\(415\) 0.810651i 0.0397933i
\(416\) −20.6624 14.5318i −1.01306 0.712482i
\(417\) 26.6270 7.29153i 1.30393 0.357068i
\(418\) 23.6563 38.1928i 1.15707 1.86807i
\(419\) 9.42116 19.1042i 0.460254 0.933302i −0.535783 0.844356i \(-0.679983\pi\)
0.996036 0.0889463i \(-0.0283500\pi\)
\(420\) 0.132232 0.153555i 0.00645226 0.00749270i
\(421\) −3.12898 1.06215i −0.152497 0.0517658i 0.244147 0.969738i \(-0.421492\pi\)
−0.396644 + 0.917972i \(0.629825\pi\)
\(422\) 8.29017 15.5760i 0.403559 0.758226i
\(423\) −2.98738 + 3.98299i −0.145251 + 0.193660i
\(424\) −20.6318 + 2.14257i −1.00197 + 0.104053i
\(425\) 4.64750 3.56615i 0.225437 0.172984i
\(426\) −25.5455 2.32900i −1.23768 0.112840i
\(427\) 0.123970 1.89142i 0.00599933 0.0915321i
\(428\) −20.8547 + 27.3782i −1.00805 + 1.32338i
\(429\) 18.7919 38.6392i 0.907279 1.86552i
\(430\) 1.95372 0.739271i 0.0942165 0.0356508i
\(431\) −14.4506 14.4506i −0.696061 0.696061i 0.267497 0.963559i \(-0.413803\pi\)
−0.963559 + 0.267497i \(0.913803\pi\)
\(432\) −13.3327 + 15.9449i −0.641471 + 0.767147i
\(433\) 22.4670 22.4670i 1.07970 1.07970i 0.0831592 0.996536i \(-0.473499\pi\)
0.996536 0.0831592i \(-0.0265010\pi\)
\(434\) −0.598303 + 1.32672i −0.0287195 + 0.0636844i
\(435\) −3.53504 1.71923i −0.169492 0.0824310i
\(436\) 6.67738 + 1.76392i 0.319789 + 0.0844767i
\(437\) −20.9013 1.36994i −0.999845 0.0655333i
\(438\) 11.9787 + 14.3820i 0.572364 + 0.687199i
\(439\) 13.3246 + 17.3650i 0.635948 + 0.828784i 0.994501 0.104725i \(-0.0333964\pi\)
−0.358553 + 0.933509i \(0.616730\pi\)
\(440\) 6.58775 2.03658i 0.314059 0.0970901i
\(441\) −19.2631 + 8.22788i −0.917289 + 0.391804i
\(442\) 2.24685 + 7.36003i 0.106872 + 0.350081i
\(443\) −3.78570 + 11.1523i −0.179864 + 0.529863i −0.999046 0.0436713i \(-0.986095\pi\)
0.819182 + 0.573534i \(0.194428\pi\)
\(444\) 11.7108 5.90709i 0.555771 0.280338i
\(445\) −1.08457 0.534853i −0.0514137 0.0253544i
\(446\) −3.62894 + 0.852916i −0.171835 + 0.0403868i
\(447\) 1.41310 + 5.16032i 0.0668375 + 0.244075i
\(448\) 0.332053 1.01338i 0.0156880 0.0478775i
\(449\) −16.0139 −0.755742 −0.377871 0.925858i \(-0.623344\pi\)
−0.377871 + 0.925858i \(0.623344\pi\)
\(450\) −19.5917 5.67148i −0.923563 0.267356i
\(451\) 17.2447 11.5226i 0.812023 0.542576i
\(452\) −2.81272 + 8.38326i −0.132299 + 0.394315i
\(453\) 2.75790 4.17693i 0.129577 0.196249i
\(454\) −24.1320 + 25.8570i −1.13257 + 1.21353i
\(455\) −0.159023 + 0.207243i −0.00745513 + 0.00971572i
\(456\) 18.9289 20.6524i 0.886428 0.967137i
\(457\) 0.454412 + 0.592201i 0.0212565 + 0.0277020i 0.803861 0.594818i \(-0.202776\pi\)
−0.782604 + 0.622520i \(0.786109\pi\)
\(458\) −1.50882 + 15.6019i −0.0705024 + 0.729029i
\(459\) 6.18890 1.33733i 0.288873 0.0624214i
\(460\) −2.28130 2.26523i −0.106366 0.105617i
\(461\) 5.37383 6.12768i 0.250284 0.285394i −0.613032 0.790058i \(-0.710050\pi\)
0.863316 + 0.504664i \(0.168384\pi\)
\(462\) 1.79171 + 0.282475i 0.0833581 + 0.0131419i
\(463\) 12.4948 + 3.34797i 0.580682 + 0.155593i 0.537191 0.843461i \(-0.319485\pi\)
0.0434910 + 0.999054i \(0.486152\pi\)
\(464\) −20.6510 1.20698i −0.958696 0.0560326i
\(465\) −5.86820 + 0.0322052i −0.272131 + 0.00149348i
\(466\) 33.6240 12.7231i 1.55760 0.589385i
\(467\) −3.67250 + 18.4629i −0.169943 + 0.854362i 0.797897 + 0.602794i \(0.205946\pi\)
−0.967840 + 0.251567i \(0.919054\pi\)
\(468\) 16.0005 21.4909i 0.739622 0.993415i
\(469\) 0.684062 + 0.457076i 0.0315870 + 0.0211058i
\(470\) 1.01594 0.169577i 0.0468618 0.00782202i
\(471\) −3.81194 + 30.2359i −0.175645 + 1.39320i
\(472\) 3.74542 23.4589i 0.172397 1.07978i
\(473\) 14.8338 + 11.3824i 0.682060 + 0.523363i
\(474\) 21.2172 + 4.78511i 0.974536 + 0.219787i
\(475\) 26.0322 + 8.83673i 1.19444 + 0.405457i
\(476\) −0.269473 + 0.181437i −0.0123513 + 0.00831615i
\(477\) −1.67981 21.9368i −0.0769134 1.00442i
\(478\) −10.5098 19.5792i −0.480708 0.895530i
\(479\) −31.9394 18.4402i −1.45935 0.842555i −0.460368 0.887728i \(-0.652283\pi\)
−0.998979 + 0.0451735i \(0.985616\pi\)
\(480\) 4.27264 0.482710i 0.195018 0.0220326i
\(481\) −14.6428 + 8.45400i −0.667652 + 0.385469i
\(482\) −21.0213 13.0204i −0.957493 0.593063i
\(483\) −0.276228 0.799304i −0.0125688 0.0363696i
\(484\) 29.9554 + 26.0834i 1.36161 + 1.18561i
\(485\) −1.09918 5.52596i −0.0499113 0.250921i
\(486\) −16.5234 14.5938i −0.749516 0.661986i
\(487\) 24.5477 10.1680i 1.11236 0.460755i 0.250611 0.968088i \(-0.419368\pi\)
0.861750 + 0.507332i \(0.169368\pi\)
\(488\) 29.2086 27.6490i 1.32221 1.25161i
\(489\) −24.0869 18.2734i −1.08925 0.826352i
\(490\) 4.05830 + 1.51925i 0.183335 + 0.0686329i
\(491\) 0.420434 6.41459i 0.0189739 0.289486i −0.977818 0.209455i \(-0.932831\pi\)
0.996792 0.0800318i \(-0.0255022\pi\)
\(492\) 11.9035 5.05690i 0.536651 0.227983i
\(493\) 4.73791 + 4.15504i 0.213385 + 0.187134i
\(494\) −22.8607 + 27.9565i −1.02855 + 1.25782i
\(495\) 1.97033 + 7.04323i 0.0885599 + 0.316570i
\(496\) −28.4464 + 12.0192i −1.27728 + 0.539677i
\(497\) 0.361293 + 1.34836i 0.0162062 + 0.0604823i
\(498\) 4.22307 1.62453i 0.189240 0.0727968i
\(499\) 7.88256 + 23.2213i 0.352872 + 1.03953i 0.967968 + 0.251075i \(0.0807840\pi\)
−0.615096 + 0.788452i \(0.710883\pi\)
\(500\) 4.33029 + 7.43943i 0.193657 + 0.332702i
\(501\) −17.5446 5.84842i −0.783837 0.261288i
\(502\) −5.52353 + 7.73692i −0.246527 + 0.345316i
\(503\) −13.7284 + 33.1432i −0.612118 + 1.47778i 0.248552 + 0.968619i \(0.420045\pi\)
−0.860669 + 0.509164i \(0.829955\pi\)
\(504\) 1.06493 + 0.381139i 0.0474357 + 0.0169773i
\(505\) −1.97292 4.76304i −0.0877936 0.211953i
\(506\) 6.48488 28.0361i 0.288288 1.24636i
\(507\) −6.62409 + 10.0324i −0.294186 + 0.445555i
\(508\) 1.06011 17.1002i 0.0470349 0.758697i
\(509\) 31.7383 + 15.6516i 1.40678 + 0.693745i 0.977794 0.209569i \(-0.0672059\pi\)
0.428981 + 0.903313i \(0.358873\pi\)
\(510\) −1.11734 0.683617i −0.0494768 0.0302711i
\(511\) 0.509285 0.882107i 0.0225294 0.0390221i
\(512\) 19.7834 10.9826i 0.874312 0.485365i
\(513\) 21.3541 + 20.6623i 0.942808 + 0.912263i
\(514\) −22.1148 6.66579i −0.975442 0.294015i
\(515\) 0.530320 + 8.09111i 0.0233687 + 0.356537i
\(516\) 7.76642 + 8.69635i 0.341897 + 0.382835i
\(517\) 6.07878 + 6.93151i 0.267344 + 0.304848i
\(518\) −0.521821 0.487010i −0.0229275 0.0213980i
\(519\) 2.25071 + 0.917837i 0.0987953 + 0.0402886i
\(520\) −5.46394 + 0.931887i −0.239610 + 0.0408660i
\(521\) 9.07935 21.9195i 0.397773 0.960310i −0.590420 0.807096i \(-0.701038\pi\)
0.988193 0.153214i \(-0.0489623\pi\)
\(522\) 1.87217 21.8610i 0.0819427 0.956830i
\(523\) 17.6895 26.4742i 0.773508 1.15764i −0.210163 0.977666i \(-0.567400\pi\)
0.983672 0.179971i \(-0.0576004\pi\)
\(524\) −6.69277 + 11.6874i −0.292375 + 0.510568i
\(525\) 0.0786706 + 1.10715i 0.00343347 + 0.0483198i
\(526\) −6.08574 + 4.37728i −0.265351 + 0.190859i
\(527\) 9.08701 + 2.43486i 0.395836 + 0.106064i
\(528\) 23.8112 + 30.2375i 1.03625 + 1.31592i
\(529\) 9.25675 2.48034i 0.402467 0.107841i
\(530\) −2.88120 + 3.52343i −0.125151 + 0.153048i
\(531\) 24.7654 + 4.64417i 1.07473 + 0.201540i
\(532\) −1.41054 0.578432i −0.0611547 0.0250782i
\(533\) −14.9526 + 7.37379i −0.647667 + 0.319394i
\(534\) 0.612839 6.72189i 0.0265202 0.290885i
\(535\) 0.985707 + 7.48719i 0.0426158 + 0.323699i
\(536\) 4.05413 + 16.9796i 0.175112 + 0.733408i
\(537\) 25.9199 3.55725i 1.11853 0.153507i
\(538\) −3.68130 + 2.29821i −0.158712 + 0.0990831i
\(539\) 7.56707 + 38.0422i 0.325937 + 1.63859i
\(540\) 0.389228 + 4.54401i 0.0167497 + 0.195543i
\(541\) −10.8094 16.1774i −0.464733 0.695523i 0.522884 0.852404i \(-0.324856\pi\)
−0.987618 + 0.156881i \(0.949856\pi\)
\(542\) −0.515476 + 16.6458i −0.0221416 + 0.714997i
\(543\) −11.3068 + 43.1432i −0.485221 + 1.85145i
\(544\) −6.81072 1.06271i −0.292007 0.0455635i
\(545\) 1.31241 0.757720i 0.0562175 0.0324572i
\(546\) −1.39831 0.413117i −0.0598421 0.0176798i
\(547\) −6.17225 + 0.404551i −0.263907 + 0.0172973i −0.196782 0.980447i \(-0.563049\pi\)
−0.0671245 + 0.997745i \(0.521382\pi\)
\(548\) −13.1280 + 8.83911i −0.560799 + 0.377588i
\(549\) 28.4775 + 31.7622i 1.21539 + 1.35558i
\(550\) −17.7448 + 33.3398i −0.756641 + 1.42161i
\(551\) −3.86011 + 29.3204i −0.164446 + 1.24909i
\(552\) 7.22898 16.4239i 0.307686 0.699045i
\(553\) −0.154493 1.17349i −0.00656972 0.0499020i
\(554\) −7.51451 + 20.0731i −0.319261 + 0.852825i
\(555\) 0.910143 2.73033i 0.0386334 0.115896i
\(556\) 4.04919 31.6200i 0.171724 1.34098i
\(557\) −4.07602 + 20.4915i −0.172706 + 0.868253i 0.793120 + 0.609065i \(0.208455\pi\)
−0.965827 + 0.259188i \(0.916545\pi\)
\(558\) −11.9275 30.5057i −0.504932 1.29141i
\(559\) −10.6279 10.6279i −0.449511 0.449511i
\(560\) −0.104973 0.209124i −0.00443593 0.00883712i
\(561\) −0.0643450 11.7245i −0.00271665 0.495007i
\(562\) −18.2070 25.3132i −0.768017 1.06777i
\(563\) −1.46196 4.30678i −0.0616141 0.181509i 0.911764 0.410714i \(-0.134721\pi\)
−0.973378 + 0.229205i \(0.926387\pi\)
\(564\) 2.91933 + 4.95268i 0.122926 + 0.208545i
\(565\) 0.858158 + 1.74017i 0.0361030 + 0.0732096i
\(566\) 0.101213 1.04659i 0.00425431 0.0439917i
\(567\) −0.434662 + 1.11818i −0.0182541 + 0.0469592i
\(568\) −13.8239 + 26.1959i −0.580040 + 1.09916i
\(569\) 25.4092 + 3.34519i 1.06521 + 0.140238i 0.642698 0.766119i \(-0.277815\pi\)
0.422513 + 0.906357i \(0.361148\pi\)
\(570\) −0.245699 6.14221i −0.0102912 0.257269i
\(571\) −1.78491 2.03530i −0.0746960 0.0851745i 0.713285 0.700874i \(-0.247207\pi\)
−0.787981 + 0.615700i \(0.788873\pi\)
\(572\) −32.8441 37.1855i −1.37328 1.55481i
\(573\) −1.85841 + 9.61846i −0.0776364 + 0.401817i
\(574\) −0.482025 0.512833i −0.0201193 0.0214052i
\(575\) 17.6090 0.734345
\(576\) 11.0769 + 21.2909i 0.461539 + 0.887120i
\(577\) −15.4697 −0.644013 −0.322006 0.946738i \(-0.604357\pi\)
−0.322006 + 0.946738i \(0.604357\pi\)
\(578\) −15.0275 15.9879i −0.625061 0.665011i
\(579\) −20.1562 17.4818i −0.837665 0.726519i
\(580\) −3.40204 + 3.00485i −0.141262 + 0.124770i
\(581\) −0.162353 0.185128i −0.00673552 0.00768039i
\(582\) 26.5846 16.8001i 1.10197 0.696385i
\(583\) −40.3914 5.31762i −1.67284 0.220233i
\(584\) 20.6485 6.38341i 0.854441 0.264147i
\(585\) −0.831302 5.82000i −0.0343701 0.240627i
\(586\) −0.362056 + 3.74384i −0.0149564 + 0.154656i
\(587\) 15.4998 + 31.4304i 0.639744 + 1.29727i 0.939268 + 0.343184i \(0.111505\pi\)
−0.299524 + 0.954089i \(0.596828\pi\)
\(588\) 0.218234 + 24.1862i 0.00899983 + 0.997421i
\(589\) 14.1911 + 41.8056i 0.584734 + 1.72257i
\(590\) −3.04374 4.23172i −0.125309 0.174217i
\(591\) −21.2601 + 12.4306i −0.874523 + 0.511326i
\(592\) −1.09737 15.1056i −0.0451017 0.620835i
\(593\) −13.8865 13.8865i −0.570252 0.570252i 0.361947 0.932199i \(-0.382112\pi\)
−0.932199 + 0.361947i \(0.882112\pi\)
\(594\) −32.7430 + 24.3789i −1.34346 + 1.00028i
\(595\) −0.0139065 + 0.0699128i −0.000570112 + 0.00286615i
\(596\) 6.12796 + 0.784735i 0.251011 + 0.0321440i
\(597\) −7.84537 8.84751i −0.321090 0.362104i
\(598\) −8.10992 + 21.6636i −0.331639 + 0.885890i
\(599\) 4.20273 + 31.9229i 0.171719 + 1.30433i 0.832613 + 0.553855i \(0.186844\pi\)
−0.660894 + 0.750479i \(0.729823\pi\)
\(600\) −14.7435 + 18.3656i −0.601903 + 0.749774i
\(601\) −0.899304 + 6.83089i −0.0366834 + 0.278638i 0.963266 + 0.268550i \(0.0865444\pi\)
−0.999949 + 0.0100878i \(0.996789\pi\)
\(602\) 0.298111 0.560106i 0.0121501 0.0228282i
\(603\) −18.1193 + 3.81137i −0.737876 + 0.155211i
\(604\) −3.22793 4.79417i −0.131343 0.195072i
\(605\) 8.69686 0.570022i 0.353577 0.0231747i
\(606\) 20.8593 19.8229i 0.847350 0.805250i
\(607\) 2.96071 1.70937i 0.120172 0.0693811i −0.438709 0.898629i \(-0.644564\pi\)
0.558881 + 0.829248i \(0.311231\pi\)
\(608\) −13.6104 29.3461i −0.551973 1.19014i
\(609\) −1.15161 + 0.315357i −0.0466657 + 0.0127789i
\(610\) 0.273161 8.82090i 0.0110599 0.357148i
\(611\) −4.11734 6.16203i −0.166570 0.249289i
\(612\) 1.32216 7.19072i 0.0534450 0.290668i
\(613\) 4.97044 + 24.9881i 0.200754 + 1.00926i 0.941382 + 0.337343i \(0.109528\pi\)
−0.740627 + 0.671916i \(0.765472\pi\)
\(614\) −37.6947 + 23.5325i −1.52123 + 0.949696i
\(615\) 1.07159 2.62774i 0.0432107 0.105961i
\(616\) 1.09656 1.78445i 0.0441818 0.0718975i
\(617\) 5.63613 + 42.8107i 0.226902 + 1.72349i 0.603713 + 0.797202i \(0.293687\pi\)
−0.376811 + 0.926290i \(0.622979\pi\)
\(618\) −41.0877 + 18.9771i −1.65279 + 0.763371i
\(619\) 18.6954 9.21957i 0.751433 0.370566i −0.0258923 0.999665i \(-0.508243\pi\)
0.777325 + 0.629099i \(0.216576\pi\)
\(620\) −2.57096 + 6.26944i −0.103252 + 0.251787i
\(621\) 17.2064 + 8.13586i 0.690468 + 0.326481i
\(622\) −16.4484 + 20.1148i −0.659521 + 0.806532i
\(623\) −0.354800 + 0.0950685i −0.0142148 + 0.00380884i
\(624\) −15.8043 26.5968i −0.632677 1.06472i
\(625\) −21.3936 5.73239i −0.855743 0.229296i
\(626\) 23.4527 16.8688i 0.937358 0.674212i
\(627\) 45.5810 30.8194i 1.82033 1.23081i
\(628\) 30.5372 + 17.4871i 1.21857 + 0.697809i
\(629\) −2.56331 + 3.83626i −0.102206 + 0.152962i
\(630\) 0.224740 0.105301i 0.00895387 0.00419528i
\(631\) 1.65362 3.99220i 0.0658296 0.158927i −0.887541 0.460729i \(-0.847588\pi\)
0.953371 + 0.301802i \(0.0975881\pi\)
\(632\) 14.5204 20.4918i 0.577589 0.815119i
\(633\) 17.0722 13.2494i 0.678558 0.526618i
\(634\) 14.6457 + 13.6686i 0.581653 + 0.542851i
\(635\) −2.47874 2.82646i −0.0983659 0.112165i
\(636\) −24.1291 7.94866i −0.956781 0.315185i
\(637\) −2.03922 31.1126i −0.0807970 1.23272i
\(638\) −38.9001 11.7252i −1.54007 0.464204i
\(639\) −27.3782 15.4087i −1.08307 0.609557i
\(640\) 1.38238 4.76868i 0.0546432 0.188499i
\(641\) −12.5373 + 21.7152i −0.495193 + 0.857699i −0.999985 0.00554226i \(-0.998236\pi\)
0.504792 + 0.863241i \(0.331569\pi\)
\(642\) −37.0290 + 20.1392i −1.46142 + 0.794830i
\(643\) 7.73239 + 3.81319i 0.304936 + 0.150378i 0.588319 0.808629i \(-0.299790\pi\)
−0.283383 + 0.959007i \(0.591457\pi\)
\(644\) −0.974646 0.0604225i −0.0384064 0.00238098i
\(645\) 2.55378 + 0.153313i 0.100555 + 0.00603669i
\(646\) −2.22077 + 9.60107i −0.0873751 + 0.377749i
\(647\) −1.58724 3.83193i −0.0624007 0.150649i 0.889603 0.456734i \(-0.150981\pi\)
−0.952004 + 0.306085i \(0.900981\pi\)
\(648\) −22.8919 + 11.1338i −0.899279 + 0.437376i
\(649\) 17.8553 43.1064i 0.700881 1.69208i
\(650\) 17.6403 24.7091i 0.691908 0.969169i
\(651\) −1.33367 + 1.18260i −0.0522705 + 0.0463499i
\(652\) −30.1721 + 17.5624i −1.18163 + 0.687796i
\(653\) −5.73182 16.8854i −0.224304 0.660777i −0.999575 0.0291488i \(-0.990720\pi\)
0.775272 0.631628i \(-0.217613\pi\)
\(654\) 6.57736 + 5.31851i 0.257195 + 0.207970i
\(655\) 0.764868 + 2.85453i 0.0298859 + 0.111536i
\(656\) −0.105576 14.9335i −0.00412206 0.583055i
\(657\) 6.17577 + 22.0762i 0.240940 + 0.861273i
\(658\) 0.198047 0.242193i 0.00772068 0.00944166i
\(659\) 15.2938 + 13.4123i 0.595764 + 0.522471i 0.903268 0.429076i \(-0.141161\pi\)
−0.307505 + 0.951546i \(0.599494\pi\)
\(660\) 8.38242 + 1.02671i 0.326285 + 0.0399647i
\(661\) −0.597712 + 9.11933i −0.0232483 + 0.354701i 0.970348 + 0.241712i \(0.0777090\pi\)
−0.993596 + 0.112989i \(0.963958\pi\)
\(662\) 5.62676 + 2.10642i 0.218690 + 0.0818682i
\(663\) −1.17889 + 9.35082i −0.0457843 + 0.363156i
\(664\) 0.143258 5.22277i 0.00555950 0.202683i
\(665\) −0.309057 + 0.128015i −0.0119847 + 0.00496423i
\(666\) 16.0475 0.730157i 0.621828 0.0282930i
\(667\) 3.69555 + 18.5788i 0.143092 + 0.719374i
\(668\) −14.0233 + 16.1050i −0.542578 + 0.623121i
\(669\) −4.48273 0.866124i −0.173312 0.0334863i
\(670\) 3.25641 + 2.01700i 0.125806 + 0.0779233i
\(671\) 68.4100 39.4965i 2.64094 1.52475i
\(672\) 0.879065 0.965936i 0.0339107 0.0372618i
\(673\) 21.3402 + 12.3208i 0.822605 + 0.474931i 0.851314 0.524656i \(-0.175806\pi\)
−0.0287088 + 0.999588i \(0.509140\pi\)
\(674\) −6.27696 11.6936i −0.241780 0.450421i
\(675\) −19.0496 16.1591i −0.733220 0.621962i
\(676\) 7.75306 + 11.5149i 0.298194 + 0.442883i
\(677\) −3.88943 1.32028i −0.149483 0.0507426i 0.245695 0.969347i \(-0.420984\pi\)
−0.395178 + 0.918605i \(0.629317\pi\)
\(678\) −7.34566 + 7.95782i −0.282108 + 0.305618i
\(679\) −1.35773 1.04182i −0.0521048 0.0399814i
\(680\) −1.22476 + 0.887516i −0.0469673 + 0.0340347i
\(681\) −39.9286 + 16.7963i −1.53007 + 0.643634i
\(682\) −59.8248 + 9.98577i −2.29081 + 0.382375i
\(683\) 35.3482 + 23.6189i 1.35256 + 0.903753i 0.999493 0.0318439i \(-0.0101379\pi\)
0.353069 + 0.935597i \(0.385138\pi\)
\(684\) 31.5053 13.5888i 1.20463 0.519581i
\(685\) −0.677487 + 3.40596i −0.0258855 + 0.130135i
\(686\) 2.46525 0.932832i 0.0941236 0.0356157i
\(687\) −9.50737 + 16.6780i −0.362729 + 0.636304i
\(688\) 12.7178 4.41763i 0.484862 0.168421i
\(689\) 31.6328 + 8.47599i 1.20512 + 0.322910i
\(690\) −1.41366 3.67491i −0.0538172 0.139901i
\(691\) 4.25055 4.84682i 0.161699 0.184382i −0.665317 0.746561i \(-0.731704\pi\)
0.827015 + 0.562179i \(0.190037\pi\)
\(692\) 1.97760 1.99163i 0.0751772 0.0757105i
\(693\) 1.86054 + 1.21385i 0.0706762 + 0.0461103i
\(694\) −2.89586 + 29.9446i −0.109925 + 1.13668i
\(695\) −4.25819 5.54938i −0.161522 0.210500i
\(696\) −22.4713 11.7012i −0.851773 0.443533i
\(697\) −2.76950 + 3.60928i −0.104902 + 0.136711i
\(698\) −28.7445 + 30.7991i −1.08799 + 1.16576i
\(699\) 43.9513 + 2.63856i 1.66239 + 0.0997995i
\(700\) 1.21508 + 0.407679i 0.0459256 + 0.0154088i
\(701\) 38.2580 25.5632i 1.44498 0.965507i 0.447524 0.894272i \(-0.352306\pi\)
0.997460 0.0712353i \(-0.0226941\pi\)
\(702\) 28.6532 15.9938i 1.08145 0.603647i
\(703\) −21.6522 −0.816626
\(704\) 42.8027 11.9568i 1.61319 0.450640i
\(705\) 1.22027 + 0.319803i 0.0459580 + 0.0120445i
\(706\) −9.55829 + 2.24650i −0.359731 + 0.0845482i
\(707\) −1.40447 0.692607i −0.0528204 0.0260482i
\(708\) 15.9454 24.3365i 0.599266 0.914624i
\(709\) −2.28936 + 6.74424i −0.0859787 + 0.253285i −0.981413 0.191909i \(-0.938532\pi\)
0.895434 + 0.445194i \(0.146865\pi\)
\(710\) 1.89763 + 6.21609i 0.0712170 + 0.233286i
\(711\) 21.3103 + 15.9834i 0.799198 + 0.599425i
\(712\) −6.89305 3.63755i −0.258328 0.136323i
\(713\) 17.2150 + 22.4350i 0.644705 + 0.840196i
\(714\) −0.392078 + 0.0676581i −0.0146731 + 0.00253204i
\(715\) −10.8631 0.712005i −0.406257 0.0266275i
\(716\) 7.71581 29.2084i 0.288353 1.09157i
\(717\) −1.92901 27.1473i −0.0720403 1.01384i
\(718\) 8.68830 19.2660i 0.324244 0.719000i
\(719\) 16.5301 16.5301i 0.616470 0.616470i −0.328154 0.944624i \(-0.606426\pi\)
0.944624 + 0.328154i \(0.106426\pi\)
\(720\) 5.01644 + 1.60250i 0.186952 + 0.0597217i
\(721\) 1.74155 + 1.74155i 0.0648587 + 0.0648587i
\(722\) −18.1223 + 6.85732i −0.674440 + 0.255203i
\(723\) −16.9630 25.0877i −0.630860 0.933023i
\(724\) 40.9682 + 31.2066i 1.52257 + 1.15978i
\(725\) 1.62604 24.8085i 0.0603895 0.921366i
\(726\) 20.3978 + 44.1637i 0.757034 + 1.63907i
\(727\) 7.51715 5.76811i 0.278796 0.213928i −0.459893 0.887974i \(-0.652112\pi\)
0.738688 + 0.674047i \(0.235445\pi\)
\(728\) −1.06116 + 1.30710i −0.0393293 + 0.0484444i
\(729\) −11.1481 24.5911i −0.412892 0.910780i
\(730\) 2.22813 4.18633i 0.0824669 0.154943i
\(731\) −3.88372 1.31835i −0.143645 0.0487608i
\(732\) 46.4997 16.2539i 1.71868 0.600760i
\(733\) 4.04347 8.19935i 0.149349 0.302850i −0.809323 0.587364i \(-0.800166\pi\)
0.958672 + 0.284514i \(0.0918323\pi\)
\(734\) 25.1134 40.5452i 0.926951 1.49655i
\(735\) 3.77333 + 3.73214i 0.139181 + 0.137662i
\(736\) −14.2974 14.9973i −0.527009 0.552808i
\(737\) 34.2862i 1.26295i
\(738\) 15.8366 + 0.316480i 0.582954 + 0.0116498i
\(739\) −22.9806 34.3928i −0.845354 1.26516i −0.962291 0.272022i \(-0.912308\pi\)
0.116938 0.993139i \(-0.462692\pi\)
\(740\) −2.50629 2.18233i −0.0921331 0.0802242i
\(741\) −39.5605 + 19.7797i −1.45329 + 0.726625i
\(742\) 0.0476761 + 1.38167i 0.00175024 + 0.0507228i
\(743\) 3.44095 + 2.64033i 0.126236 + 0.0968645i 0.669950 0.742406i \(-0.266316\pi\)
−0.543714 + 0.839271i \(0.682982\pi\)
\(744\) −37.8126 0.829540i −1.38628 0.0304124i
\(745\) 1.07547 0.825240i 0.0394023 0.0302345i
\(746\) 20.7171 17.0635i 0.758508 0.624738i
\(747\) 5.53345 + 0.301726i 0.202458 + 0.0110396i
\(748\) −12.5261 5.13670i −0.458001 0.187816i
\(749\) 1.72460 + 1.51243i 0.0630154 + 0.0552630i
\(750\) 1.10944 + 10.4840i 0.0405111 + 0.382821i
\(751\) −8.51734 + 31.7871i −0.310802 + 1.15993i 0.617033 + 0.786938i \(0.288335\pi\)
−0.927835 + 0.372992i \(0.878332\pi\)
\(752\) 6.57534 0.912996i 0.239778 0.0332935i
\(753\) −10.0508 + 5.87663i −0.366273 + 0.214156i
\(754\) 29.7720 + 13.4262i 1.08423 + 0.488952i
\(755\) −1.24381 0.247410i −0.0452671 0.00900418i
\(756\) 0.998936 + 0.959759i 0.0363310 + 0.0349061i
\(757\) 9.65389 14.4481i 0.350877 0.525124i −0.613487 0.789705i \(-0.710234\pi\)
0.964363 + 0.264581i \(0.0852336\pi\)
\(758\) 6.83068 9.56788i 0.248102 0.347521i
\(759\) 21.3012 28.0780i 0.773185 1.01917i
\(760\) −6.65630 2.46504i −0.241449 0.0894164i
\(761\) −11.0953 + 14.4597i −0.402205 + 0.524164i −0.949917 0.312503i \(-0.898832\pi\)
0.547712 + 0.836667i \(0.315499\pi\)
\(762\) 9.75705 18.5771i 0.353461 0.672978i
\(763\) 0.147962 0.435882i 0.00535658 0.0157800i
\(764\) 9.42761 + 6.25124i 0.341079 + 0.226162i
\(765\) −0.905872 1.32404i −0.0327519 0.0478707i
\(766\) 10.3833 + 3.12970i 0.375162 + 0.113080i
\(767\) −18.7530 + 32.4812i −0.677133 + 1.17283i
\(768\) 27.6126 2.35488i 0.996383 0.0849746i
\(769\) −1.03177 1.78708i −0.0372067 0.0644439i 0.846822 0.531876i \(-0.178513\pi\)
−0.884029 + 0.467432i \(0.845179\pi\)
\(770\) −0.105149 0.447382i −0.00378930 0.0161225i
\(771\) −21.3705 18.5350i −0.769641 0.667521i
\(772\) −27.5833 + 13.7240i −0.992743 + 0.493937i