Properties

Label 520.2.ca.a.101.6
Level $520$
Weight $2$
Character 520.101
Analytic conductor $4.152$
Analytic rank $0$
Dimension $56$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [520,2,Mod(101,520)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(520, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([0, 3, 0, 5]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("520.101");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 520 = 2^{3} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 520.ca (of order \(6\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(4.15222090511\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(28\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 101.6
Character \(\chi\) \(=\) 520.101
Dual form 520.2.ca.a.381.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.09478 + 0.895236i) q^{2} +(-0.815452 + 0.470802i) q^{3} +(0.397104 - 1.96018i) q^{4} -1.00000 q^{5} +(0.471265 - 1.24545i) q^{6} +(-2.82007 - 1.62817i) q^{7} +(1.32008 + 2.50148i) q^{8} +(-1.05669 + 1.83024i) q^{9} +(1.09478 - 0.895236i) q^{10} +(2.28794 + 3.96283i) q^{11} +(0.599037 + 1.78539i) q^{12} +(-2.20289 + 2.85434i) q^{13} +(4.54496 - 0.742136i) q^{14} +(0.815452 - 0.470802i) q^{15} +(-3.68462 - 1.55679i) q^{16} +(3.64340 - 6.31055i) q^{17} +(-0.481651 - 2.94971i) q^{18} +(3.24655 - 5.62320i) q^{19} +(-0.397104 + 1.96018i) q^{20} +3.06618 q^{21} +(-6.05247 - 2.29020i) q^{22} +(-3.65810 - 6.33601i) q^{23} +(-2.25416 - 1.41834i) q^{24} +1.00000 q^{25} +(-0.143626 - 5.09700i) q^{26} -4.81478i q^{27} +(-4.31136 + 4.88129i) q^{28} +(3.33584 - 1.92595i) q^{29} +(-0.471265 + 1.24545i) q^{30} -2.78436i q^{31} +(5.42756 - 1.59425i) q^{32} +(-3.73142 - 2.15433i) q^{33} +(1.66070 + 10.1704i) q^{34} +(2.82007 + 1.62817i) q^{35} +(3.16799 + 2.79810i) q^{36} +(2.57569 + 4.46122i) q^{37} +(1.47981 + 9.06262i) q^{38} +(0.452520 - 3.36471i) q^{39} +(-1.32008 - 2.50148i) q^{40} +(3.47276 - 2.00500i) q^{41} +(-3.35680 + 2.74495i) q^{42} +(-6.09210 - 3.51727i) q^{43} +(8.67642 - 2.91112i) q^{44} +(1.05669 - 1.83024i) q^{45} +(9.67705 + 3.66170i) q^{46} -7.32283i q^{47} +(3.73757 - 0.465234i) q^{48} +(1.80186 + 3.12092i) q^{49} +(-1.09478 + 0.895236i) q^{50} +6.86127i q^{51} +(4.72026 + 5.45153i) q^{52} +3.33709i q^{53} +(4.31036 + 5.27114i) q^{54} +(-2.28794 - 3.96283i) q^{55} +(0.350102 - 9.20365i) q^{56} +6.11393i q^{57} +(-1.92785 + 5.09486i) q^{58} +(0.960988 - 1.66448i) q^{59} +(-0.599037 - 1.78539i) q^{60} +(-4.19212 - 2.42032i) q^{61} +(2.49266 + 3.04827i) q^{62} +(5.95989 - 3.44094i) q^{63} +(-4.51477 + 6.60431i) q^{64} +(2.20289 - 2.85434i) q^{65} +(6.01373 - 0.981968i) q^{66} +(0.105635 + 0.182965i) q^{67} +(-10.9230 - 9.64766i) q^{68} +(5.96601 + 3.44448i) q^{69} +(-4.54496 + 0.742136i) q^{70} +(-5.29581 - 3.05754i) q^{71} +(-5.97323 - 0.227218i) q^{72} +7.65793i q^{73} +(-6.81367 - 2.57822i) q^{74} +(-0.815452 + 0.470802i) q^{75} +(-9.73326 - 8.59683i) q^{76} -14.9006i q^{77} +(2.51679 + 4.08874i) q^{78} +14.7003 q^{79} +(3.68462 + 1.55679i) q^{80} +(-0.903270 - 1.56451i) q^{81} +(-2.00697 + 5.30398i) q^{82} +7.55031 q^{83} +(1.21759 - 6.01026i) q^{84} +(-3.64340 + 6.31055i) q^{85} +(9.81832 - 1.60321i) q^{86} +(-1.81348 + 3.14104i) q^{87} +(-6.89266 + 10.9545i) q^{88} +(-4.09878 + 2.36643i) q^{89} +(0.481651 + 2.94971i) q^{90} +(10.8597 - 4.46278i) q^{91} +(-13.8724 + 4.65448i) q^{92} +(1.31088 + 2.27051i) q^{93} +(6.55566 + 8.01692i) q^{94} +(-3.24655 + 5.62320i) q^{95} +(-3.67534 + 3.85534i) q^{96} +(7.27269 + 4.19889i) q^{97} +(-4.76661 - 1.80364i) q^{98} -9.67060 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 6 q^{4} - 56 q^{5} - 5 q^{6} + 28 q^{9} + 8 q^{11} + 6 q^{12} - 4 q^{14} - 10 q^{16} - 18 q^{18} + 16 q^{19} + 6 q^{20} - 6 q^{22} + 12 q^{23} + 2 q^{24} + 56 q^{25} + 11 q^{26} + 6 q^{28} + 5 q^{30}+ \cdots + 48 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/520\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(261\) \(391\) \(417\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(-1\) \(1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.09478 + 0.895236i −0.774129 + 0.633028i
\(3\) −0.815452 + 0.470802i −0.470802 + 0.271817i −0.716575 0.697510i \(-0.754291\pi\)
0.245774 + 0.969327i \(0.420958\pi\)
\(4\) 0.397104 1.96018i 0.198552 0.980090i
\(5\) −1.00000 −0.447214
\(6\) 0.471265 1.24545i 0.192393 0.508452i
\(7\) −2.82007 1.62817i −1.06589 0.615390i −0.138832 0.990316i \(-0.544335\pi\)
−0.927055 + 0.374926i \(0.877668\pi\)
\(8\) 1.32008 + 2.50148i 0.466719 + 0.884405i
\(9\) −1.05669 + 1.83024i −0.352231 + 0.610081i
\(10\) 1.09478 0.895236i 0.346201 0.283099i
\(11\) 2.28794 + 3.96283i 0.689840 + 1.19484i 0.971889 + 0.235439i \(0.0756527\pi\)
−0.282049 + 0.959400i \(0.591014\pi\)
\(12\) 0.599037 + 1.78539i 0.172927 + 0.515398i
\(13\) −2.20289 + 2.85434i −0.610971 + 0.791653i
\(14\) 4.54496 0.742136i 1.21469 0.198344i
\(15\) 0.815452 0.470802i 0.210549 0.121560i
\(16\) −3.68462 1.55679i −0.921154 0.389198i
\(17\) 3.64340 6.31055i 0.883654 1.53053i 0.0364049 0.999337i \(-0.488409\pi\)
0.847249 0.531196i \(-0.178257\pi\)
\(18\) −0.481651 2.94971i −0.113526 0.695253i
\(19\) 3.24655 5.62320i 0.744811 1.29005i −0.205472 0.978663i \(-0.565873\pi\)
0.950283 0.311387i \(-0.100794\pi\)
\(20\) −0.397104 + 1.96018i −0.0887952 + 0.438310i
\(21\) 3.06618 0.669095
\(22\) −6.05247 2.29020i −1.29039 0.488271i
\(23\) −3.65810 6.33601i −0.762766 1.32115i −0.941420 0.337237i \(-0.890507\pi\)
0.178654 0.983912i \(-0.442826\pi\)
\(24\) −2.25416 1.41834i −0.460129 0.289517i
\(25\) 1.00000 0.200000
\(26\) −0.143626 5.09700i −0.0281674 0.999603i
\(27\) 4.81478i 0.926605i
\(28\) −4.31136 + 4.88129i −0.814771 + 0.922478i
\(29\) 3.33584 1.92595i 0.619450 0.357640i −0.157205 0.987566i \(-0.550248\pi\)
0.776655 + 0.629926i \(0.216915\pi\)
\(30\) −0.471265 + 1.24545i −0.0860409 + 0.227387i
\(31\) 2.78436i 0.500086i −0.968235 0.250043i \(-0.919555\pi\)
0.968235 0.250043i \(-0.0804448\pi\)
\(32\) 5.42756 1.59425i 0.959465 0.281827i
\(33\) −3.73142 2.15433i −0.649556 0.375021i
\(34\) 1.66070 + 10.1704i 0.284808 + 1.74421i
\(35\) 2.82007 + 1.62817i 0.476679 + 0.275211i
\(36\) 3.16799 + 2.79810i 0.527999 + 0.466351i
\(37\) 2.57569 + 4.46122i 0.423440 + 0.733420i 0.996273 0.0862519i \(-0.0274890\pi\)
−0.572833 + 0.819672i \(0.694156\pi\)
\(38\) 1.47981 + 9.06262i 0.240058 + 1.47015i
\(39\) 0.452520 3.36471i 0.0724612 0.538784i
\(40\) −1.32008 2.50148i −0.208723 0.395518i
\(41\) 3.47276 2.00500i 0.542354 0.313128i −0.203679 0.979038i \(-0.565290\pi\)
0.746032 + 0.665910i \(0.231956\pi\)
\(42\) −3.35680 + 2.74495i −0.517966 + 0.423555i
\(43\) −6.09210 3.51727i −0.929036 0.536379i −0.0425296 0.999095i \(-0.513542\pi\)
−0.886507 + 0.462716i \(0.846875\pi\)
\(44\) 8.67642 2.91112i 1.30802 0.438868i
\(45\) 1.05669 1.83024i 0.157522 0.272837i
\(46\) 9.67705 + 3.66170i 1.42680 + 0.539888i
\(47\) 7.32283i 1.06814i −0.845439 0.534072i \(-0.820661\pi\)
0.845439 0.534072i \(-0.179339\pi\)
\(48\) 3.73757 0.465234i 0.539472 0.0671508i
\(49\) 1.80186 + 3.12092i 0.257409 + 0.445845i
\(50\) −1.09478 + 0.895236i −0.154826 + 0.126606i
\(51\) 6.86127i 0.960770i
\(52\) 4.72026 + 5.45153i 0.654582 + 0.755991i
\(53\) 3.33709i 0.458385i 0.973381 + 0.229192i \(0.0736085\pi\)
−0.973381 + 0.229192i \(0.926392\pi\)
\(54\) 4.31036 + 5.27114i 0.586566 + 0.717312i
\(55\) −2.28794 3.96283i −0.308506 0.534348i
\(56\) 0.350102 9.20365i 0.0467843 1.22989i
\(57\) 6.11393i 0.809810i
\(58\) −1.92785 + 5.09486i −0.253139 + 0.668988i
\(59\) 0.960988 1.66448i 0.125110 0.216697i −0.796666 0.604420i \(-0.793405\pi\)
0.921776 + 0.387723i \(0.126738\pi\)
\(60\) −0.599037 1.78539i −0.0773353 0.230493i
\(61\) −4.19212 2.42032i −0.536745 0.309890i 0.207014 0.978338i \(-0.433626\pi\)
−0.743759 + 0.668448i \(0.766959\pi\)
\(62\) 2.49266 + 3.04827i 0.316568 + 0.387131i
\(63\) 5.95989 3.44094i 0.750875 0.433518i
\(64\) −4.51477 + 6.60431i −0.564346 + 0.825538i
\(65\) 2.20289 2.85434i 0.273235 0.354038i
\(66\) 6.01373 0.981968i 0.740239 0.120872i
\(67\) 0.105635 + 0.182965i 0.0129054 + 0.0223528i 0.872406 0.488782i \(-0.162559\pi\)
−0.859501 + 0.511135i \(0.829225\pi\)
\(68\) −10.9230 9.64766i −1.32461 1.16995i
\(69\) 5.96601 + 3.44448i 0.718223 + 0.414666i
\(70\) −4.54496 + 0.742136i −0.543227 + 0.0887023i
\(71\) −5.29581 3.05754i −0.628497 0.362863i 0.151673 0.988431i \(-0.451534\pi\)
−0.780170 + 0.625568i \(0.784867\pi\)
\(72\) −5.97323 0.227218i −0.703952 0.0267779i
\(73\) 7.65793i 0.896293i 0.893960 + 0.448146i \(0.147916\pi\)
−0.893960 + 0.448146i \(0.852084\pi\)
\(74\) −6.81367 2.57822i −0.792073 0.299713i
\(75\) −0.815452 + 0.470802i −0.0941603 + 0.0543635i
\(76\) −9.73326 8.59683i −1.11648 0.986124i
\(77\) 14.9006i 1.69808i
\(78\) 2.51679 + 4.08874i 0.284971 + 0.462958i
\(79\) 14.7003 1.65392 0.826959 0.562262i \(-0.190069\pi\)
0.826959 + 0.562262i \(0.190069\pi\)
\(80\) 3.68462 + 1.55679i 0.411953 + 0.174055i
\(81\) −0.903270 1.56451i −0.100363 0.173834i
\(82\) −2.00697 + 5.30398i −0.221633 + 0.585726i
\(83\) 7.55031 0.828754 0.414377 0.910105i \(-0.363999\pi\)
0.414377 + 0.910105i \(0.363999\pi\)
\(84\) 1.21759 6.01026i 0.132850 0.655773i
\(85\) −3.64340 + 6.31055i −0.395182 + 0.684475i
\(86\) 9.81832 1.60321i 1.05874 0.172879i
\(87\) −1.81348 + 3.14104i −0.194425 + 0.336755i
\(88\) −6.89266 + 10.9545i −0.734760 + 1.16775i
\(89\) −4.09878 + 2.36643i −0.434470 + 0.250841i −0.701249 0.712916i \(-0.747374\pi\)
0.266779 + 0.963758i \(0.414041\pi\)
\(90\) 0.481651 + 2.94971i 0.0507705 + 0.310927i
\(91\) 10.8597 4.46278i 1.13840 0.467826i
\(92\) −13.8724 + 4.65448i −1.44629 + 0.485263i
\(93\) 1.31088 + 2.27051i 0.135932 + 0.235441i
\(94\) 6.55566 + 8.01692i 0.676165 + 0.826882i
\(95\) −3.24655 + 5.62320i −0.333089 + 0.576928i
\(96\) −3.67534 + 3.85534i −0.375112 + 0.393484i
\(97\) 7.27269 + 4.19889i 0.738430 + 0.426333i 0.821498 0.570211i \(-0.193139\pi\)
−0.0830682 + 0.996544i \(0.526472\pi\)
\(98\) −4.76661 1.80364i −0.481500 0.182195i
\(99\) −9.67060 −0.971932
\(100\) 0.397104 1.96018i 0.0397104 0.196018i
\(101\) −8.39604 + 4.84746i −0.835437 + 0.482340i −0.855711 0.517455i \(-0.826880\pi\)
0.0202735 + 0.999794i \(0.493546\pi\)
\(102\) −6.14246 7.51161i −0.608194 0.743760i
\(103\) −9.65843 −0.951673 −0.475837 0.879534i \(-0.657855\pi\)
−0.475837 + 0.879534i \(0.657855\pi\)
\(104\) −10.0481 1.74250i −0.985294 0.170867i
\(105\) −3.06618 −0.299228
\(106\) −2.98748 3.65339i −0.290170 0.354849i
\(107\) −2.53186 + 1.46177i −0.244764 + 0.141314i −0.617364 0.786677i \(-0.711800\pi\)
0.372601 + 0.927992i \(0.378466\pi\)
\(108\) −9.43784 1.91197i −0.908156 0.183979i
\(109\) 1.12321 0.107584 0.0537921 0.998552i \(-0.482869\pi\)
0.0537921 + 0.998552i \(0.482869\pi\)
\(110\) 6.05247 + 2.29020i 0.577081 + 0.218362i
\(111\) −4.20070 2.42528i −0.398713 0.230197i
\(112\) 7.85616 + 10.3894i 0.742337 + 0.981709i
\(113\) 4.10521 7.11043i 0.386186 0.668893i −0.605747 0.795657i \(-0.707126\pi\)
0.991933 + 0.126764i \(0.0404591\pi\)
\(114\) −5.47341 6.69344i −0.512632 0.626898i
\(115\) 3.65810 + 6.33601i 0.341119 + 0.590836i
\(116\) −2.45053 7.30365i −0.227526 0.678127i
\(117\) −2.89637 7.04798i −0.267770 0.651586i
\(118\) 0.438029 + 2.68256i 0.0403238 + 0.246949i
\(119\) −20.5493 + 11.8641i −1.88375 + 1.08758i
\(120\) 2.25416 + 1.41834i 0.205776 + 0.129476i
\(121\) −4.96936 + 8.60718i −0.451760 + 0.782471i
\(122\) 6.75622 1.10321i 0.611679 0.0998797i
\(123\) −1.88791 + 3.26996i −0.170227 + 0.294842i
\(124\) −5.45785 1.10568i −0.490129 0.0992931i
\(125\) −1.00000 −0.0894427
\(126\) −3.44433 + 9.10260i −0.306846 + 0.810924i
\(127\) −2.26541 3.92381i −0.201023 0.348182i 0.747835 0.663884i \(-0.231093\pi\)
−0.948858 + 0.315702i \(0.897760\pi\)
\(128\) −0.969718 11.2721i −0.0857117 0.996320i
\(129\) 6.62375 0.583189
\(130\) 0.143626 + 5.09700i 0.0125969 + 0.447036i
\(131\) 18.1375i 1.58468i −0.610078 0.792342i \(-0.708862\pi\)
0.610078 0.792342i \(-0.291138\pi\)
\(132\) −5.70464 + 6.45875i −0.496525 + 0.562162i
\(133\) −18.3110 + 10.5719i −1.58777 + 0.916698i
\(134\) −0.279445 0.105739i −0.0241403 0.00913446i
\(135\) 4.81478i 0.414390i
\(136\) 20.5953 + 0.783432i 1.76603 + 0.0671788i
\(137\) 10.3515 + 5.97644i 0.884389 + 0.510602i 0.872103 0.489323i \(-0.162756\pi\)
0.0122856 + 0.999925i \(0.496089\pi\)
\(138\) −9.61511 + 1.57003i −0.818493 + 0.133650i
\(139\) −17.3034 9.99011i −1.46765 0.847350i −0.468310 0.883564i \(-0.655137\pi\)
−0.999344 + 0.0362139i \(0.988470\pi\)
\(140\) 4.31136 4.88129i 0.364377 0.412545i
\(141\) 3.44760 + 5.97142i 0.290340 + 0.502884i
\(142\) 8.53498 1.39366i 0.716240 0.116953i
\(143\) −16.3514 2.19910i −1.36737 0.183898i
\(144\) 6.74281 5.09870i 0.561901 0.424891i
\(145\) −3.33584 + 1.92595i −0.277026 + 0.159941i
\(146\) −6.85566 8.38378i −0.567378 0.693846i
\(147\) −2.93867 1.69664i −0.242377 0.139936i
\(148\) 9.76761 3.27724i 0.802893 0.269388i
\(149\) 6.07088 10.5151i 0.497346 0.861429i −0.502649 0.864491i \(-0.667641\pi\)
0.999995 + 0.00306162i \(0.000974545\pi\)
\(150\) 0.471265 1.24545i 0.0384787 0.101690i
\(151\) 2.19357i 0.178510i −0.996009 0.0892550i \(-0.971551\pi\)
0.996009 0.0892550i \(-0.0284486\pi\)
\(152\) 18.3520 + 0.698100i 1.48854 + 0.0566234i
\(153\) 7.69990 + 13.3366i 0.622500 + 1.07820i
\(154\) 13.3396 + 16.3130i 1.07493 + 1.31454i
\(155\) 2.78436i 0.223645i
\(156\) −6.41573 2.22316i −0.513670 0.177995i
\(157\) 21.5797i 1.72225i −0.508395 0.861124i \(-0.669761\pi\)
0.508395 0.861124i \(-0.330239\pi\)
\(158\) −16.0937 + 13.1603i −1.28035 + 1.04698i
\(159\) −1.57111 2.72124i −0.124597 0.215808i
\(160\) −5.42756 + 1.59425i −0.429086 + 0.126037i
\(161\) 23.8240i 1.87759i
\(162\) 2.38949 + 0.904160i 0.187736 + 0.0710375i
\(163\) −7.84916 + 13.5951i −0.614794 + 1.06485i 0.375627 + 0.926771i \(0.377427\pi\)
−0.990421 + 0.138083i \(0.955906\pi\)
\(164\) −2.55111 7.60342i −0.199208 0.593728i
\(165\) 3.73142 + 2.15433i 0.290490 + 0.167715i
\(166\) −8.26596 + 6.75931i −0.641563 + 0.524624i
\(167\) 8.80939 5.08611i 0.681691 0.393575i −0.118801 0.992918i \(-0.537905\pi\)
0.800492 + 0.599343i \(0.204572\pi\)
\(168\) 4.04760 + 7.66997i 0.312279 + 0.591751i
\(169\) −3.29457 12.5756i −0.253428 0.967354i
\(170\) −1.66070 10.1704i −0.127370 0.780033i
\(171\) 6.86121 + 11.8840i 0.524690 + 0.908790i
\(172\) −9.31369 + 10.5449i −0.710162 + 0.804040i
\(173\) 15.2799 + 8.82187i 1.16171 + 0.670714i 0.951714 0.306987i \(-0.0993210\pi\)
0.209998 + 0.977702i \(0.432654\pi\)
\(174\) −0.826603 5.06225i −0.0626646 0.383768i
\(175\) −2.82007 1.62817i −0.213177 0.123078i
\(176\) −2.26089 18.1634i −0.170421 1.36912i
\(177\) 1.80974i 0.136028i
\(178\) 2.36876 6.26011i 0.177546 0.469215i
\(179\) 1.09869 0.634330i 0.0821201 0.0474120i −0.458378 0.888758i \(-0.651569\pi\)
0.540498 + 0.841345i \(0.318236\pi\)
\(180\) −3.16799 2.79810i −0.236128 0.208558i
\(181\) 13.4062i 0.996473i −0.867041 0.498237i \(-0.833981\pi\)
0.867041 0.498237i \(-0.166019\pi\)
\(182\) −7.89373 + 14.6077i −0.585122 + 1.08280i
\(183\) 4.55796 0.336934
\(184\) 11.0204 17.5147i 0.812434 1.29120i
\(185\) −2.57569 4.46122i −0.189368 0.327995i
\(186\) −3.46778 1.31217i −0.254270 0.0962132i
\(187\) 33.3435 2.43832
\(188\) −14.3541 2.90793i −1.04688 0.212082i
\(189\) −7.83927 + 13.5780i −0.570223 + 0.987655i
\(190\) −1.47981 9.06262i −0.107357 0.657472i
\(191\) 0.546815 0.947111i 0.0395661 0.0685306i −0.845564 0.533874i \(-0.820736\pi\)
0.885130 + 0.465343i \(0.154069\pi\)
\(192\) 0.572261 7.51106i 0.0412994 0.542064i
\(193\) −17.4409 + 10.0695i −1.25543 + 0.724821i −0.972182 0.234227i \(-0.924744\pi\)
−0.283244 + 0.959048i \(0.591411\pi\)
\(194\) −11.7210 + 1.91390i −0.841521 + 0.137410i
\(195\) −0.452520 + 3.36471i −0.0324056 + 0.240952i
\(196\) 6.83309 2.29265i 0.488078 0.163760i
\(197\) −6.49688 11.2529i −0.462884 0.801738i 0.536219 0.844079i \(-0.319852\pi\)
−0.999103 + 0.0423403i \(0.986519\pi\)
\(198\) 10.5872 8.65747i 0.752401 0.615260i
\(199\) −2.01275 + 3.48619i −0.142680 + 0.247130i −0.928505 0.371320i \(-0.878905\pi\)
0.785825 + 0.618449i \(0.212239\pi\)
\(200\) 1.32008 + 2.50148i 0.0933439 + 0.176881i
\(201\) −0.172281 0.0994662i −0.0121517 0.00701581i
\(202\) 4.85223 12.8234i 0.341402 0.902248i
\(203\) −12.5431 −0.880351
\(204\) 13.4493 + 2.72464i 0.941641 + 0.190763i
\(205\) −3.47276 + 2.00500i −0.242548 + 0.140035i
\(206\) 10.5739 8.64658i 0.736718 0.602435i
\(207\) 15.4619 1.07468
\(208\) 12.5604 7.08773i 0.870908 0.491446i
\(209\) 29.7117 2.05520
\(210\) 3.35680 2.74495i 0.231641 0.189420i
\(211\) −18.4537 + 10.6543i −1.27041 + 0.733469i −0.975064 0.221922i \(-0.928767\pi\)
−0.295342 + 0.955392i \(0.595434\pi\)
\(212\) 6.54130 + 1.32517i 0.449258 + 0.0910132i
\(213\) 5.75797 0.394530
\(214\) 1.46321 3.86693i 0.100023 0.264338i
\(215\) 6.09210 + 3.51727i 0.415478 + 0.239876i
\(216\) 12.0441 6.35590i 0.819494 0.432464i
\(217\) −4.53341 + 7.85209i −0.307748 + 0.533035i
\(218\) −1.22967 + 1.00554i −0.0832841 + 0.0681038i
\(219\) −3.60537 6.24468i −0.243628 0.421976i
\(220\) −8.67642 + 2.91112i −0.584964 + 0.196268i
\(221\) 9.98649 + 24.3010i 0.671764 + 1.63466i
\(222\) 6.77005 1.10547i 0.454376 0.0741940i
\(223\) 8.44262 4.87435i 0.565359 0.326410i −0.189934 0.981797i \(-0.560828\pi\)
0.755294 + 0.655386i \(0.227494\pi\)
\(224\) −17.9018 4.34107i −1.19611 0.290050i
\(225\) −1.05669 + 1.83024i −0.0704461 + 0.122016i
\(226\) 1.87120 + 11.4595i 0.124470 + 0.762276i
\(227\) −5.82595 + 10.0908i −0.386682 + 0.669753i −0.992001 0.126230i \(-0.959712\pi\)
0.605319 + 0.795983i \(0.293046\pi\)
\(228\) 11.9844 + 2.42787i 0.793687 + 0.160789i
\(229\) −21.6811 −1.43273 −0.716365 0.697726i \(-0.754195\pi\)
−0.716365 + 0.697726i \(0.754195\pi\)
\(230\) −9.67705 3.66170i −0.638086 0.241445i
\(231\) 7.01523 + 12.1507i 0.461569 + 0.799460i
\(232\) 9.22130 + 5.80212i 0.605408 + 0.380928i
\(233\) 16.1554 1.05838 0.529188 0.848505i \(-0.322497\pi\)
0.529188 + 0.848505i \(0.322497\pi\)
\(234\) 9.48051 + 5.12308i 0.619761 + 0.334906i
\(235\) 7.32283i 0.477689i
\(236\) −2.88107 2.54468i −0.187542 0.165645i
\(237\) −11.9874 + 6.92095i −0.778667 + 0.449564i
\(238\) 11.8758 31.3851i 0.769795 2.03439i
\(239\) 0.979222i 0.0633406i −0.999498 0.0316703i \(-0.989917\pi\)
0.999498 0.0316703i \(-0.0100827\pi\)
\(240\) −3.73757 + 0.465234i −0.241259 + 0.0300307i
\(241\) 9.26265 + 5.34779i 0.596660 + 0.344482i 0.767726 0.640778i \(-0.221388\pi\)
−0.171067 + 0.985259i \(0.554721\pi\)
\(242\) −2.26509 13.8718i −0.145605 0.891710i
\(243\) 13.9823 + 8.07269i 0.896965 + 0.517863i
\(244\) −6.40897 + 7.25619i −0.410292 + 0.464530i
\(245\) −1.80186 3.12092i −0.115117 0.199388i
\(246\) −0.860530 5.27003i −0.0548654 0.336005i
\(247\) 8.89875 + 21.6541i 0.566214 + 1.37781i
\(248\) 6.96501 3.67558i 0.442279 0.233400i
\(249\) −6.15692 + 3.55470i −0.390179 + 0.225270i
\(250\) 1.09478 0.895236i 0.0692402 0.0566197i
\(251\) 1.41559 + 0.817291i 0.0893512 + 0.0515869i 0.544010 0.839079i \(-0.316905\pi\)
−0.454659 + 0.890666i \(0.650239\pi\)
\(252\) −4.37817 13.0489i −0.275799 0.822002i
\(253\) 16.7390 28.9928i 1.05237 1.82276i
\(254\) 5.99288 + 2.26765i 0.376027 + 0.142285i
\(255\) 6.86127i 0.429669i
\(256\) 11.1528 + 11.4724i 0.697050 + 0.717022i
\(257\) −14.2913 24.7533i −0.891469 1.54407i −0.838115 0.545494i \(-0.816342\pi\)
−0.0533543 0.998576i \(-0.516991\pi\)
\(258\) −7.25158 + 5.92983i −0.451464 + 0.369175i
\(259\) 16.7746i 1.04232i
\(260\) −4.72026 5.45153i −0.292738 0.338090i
\(261\) 8.14053i 0.503886i
\(262\) 16.2374 + 19.8567i 1.00315 + 1.22675i
\(263\) −0.592661 1.02652i −0.0365451 0.0632979i 0.847174 0.531315i \(-0.178302\pi\)
−0.883719 + 0.468017i \(0.844969\pi\)
\(264\) 0.463242 12.1779i 0.0285106 0.749501i
\(265\) 3.33709i 0.204996i
\(266\) 10.5823 27.9666i 0.648842 1.71474i
\(267\) 2.22824 3.85943i 0.136366 0.236193i
\(268\) 0.400593 0.134407i 0.0244701 0.00821024i
\(269\) 17.9663 + 10.3729i 1.09543 + 0.632444i 0.935016 0.354607i \(-0.115385\pi\)
0.160410 + 0.987051i \(0.448719\pi\)
\(270\) −4.31036 5.27114i −0.262320 0.320792i
\(271\) −3.99411 + 2.30600i −0.242625 + 0.140079i −0.616383 0.787447i \(-0.711402\pi\)
0.373758 + 0.927526i \(0.378069\pi\)
\(272\) −23.2487 + 17.5799i −1.40966 + 1.06594i
\(273\) −6.75444 + 8.75192i −0.408798 + 0.529691i
\(274\) −16.6830 + 2.72413i −1.00786 + 0.164570i
\(275\) 2.28794 + 3.96283i 0.137968 + 0.238968i
\(276\) 9.12092 10.3266i 0.549015 0.621591i
\(277\) −17.0409 9.83855i −1.02389 0.591141i −0.108659 0.994079i \(-0.534656\pi\)
−0.915227 + 0.402938i \(0.867989\pi\)
\(278\) 27.8870 4.55360i 1.67255 0.273107i
\(279\) 5.09606 + 2.94221i 0.305093 + 0.176146i
\(280\) −0.350102 + 9.20365i −0.0209226 + 0.550023i
\(281\) 22.9775i 1.37072i −0.728203 0.685361i \(-0.759644\pi\)
0.728203 0.685361i \(-0.240356\pi\)
\(282\) −9.12021 3.45100i −0.543101 0.205504i
\(283\) 15.4338 8.91072i 0.917446 0.529688i 0.0346264 0.999400i \(-0.488976\pi\)
0.882819 + 0.469713i \(0.155643\pi\)
\(284\) −8.09631 + 9.16658i −0.480428 + 0.543936i
\(285\) 6.11393i 0.362158i
\(286\) 19.8699 12.2308i 1.17493 0.723222i
\(287\) −13.0579 −0.770783
\(288\) −2.81738 + 11.6184i −0.166016 + 0.684620i
\(289\) −18.0487 31.2613i −1.06169 1.83890i
\(290\) 1.92785 5.09486i 0.113207 0.299181i
\(291\) −7.90738 −0.463539
\(292\) 15.0109 + 3.04100i 0.878448 + 0.177961i
\(293\) −1.92052 + 3.32644i −0.112198 + 0.194333i −0.916656 0.399677i \(-0.869122\pi\)
0.804458 + 0.594009i \(0.202456\pi\)
\(294\) 4.73610 0.773346i 0.276215 0.0451025i
\(295\) −0.960988 + 1.66448i −0.0559509 + 0.0969098i
\(296\) −7.75952 + 12.3322i −0.451013 + 0.716794i
\(297\) 19.0802 11.0159i 1.10714 0.639209i
\(298\) 2.76717 + 16.9466i 0.160298 + 0.981691i
\(299\) 26.1435 + 3.51605i 1.51192 + 0.203339i
\(300\) 0.599037 + 1.78539i 0.0345854 + 0.103080i
\(301\) 11.4534 + 19.8379i 0.660165 + 1.14344i
\(302\) 1.96376 + 2.40148i 0.113002 + 0.138190i
\(303\) 4.56438 7.90574i 0.262217 0.454173i
\(304\) −20.7165 + 15.6651i −1.18817 + 0.898456i
\(305\) 4.19212 + 2.42032i 0.240040 + 0.138587i
\(306\) −20.3691 7.70748i −1.16443 0.440607i
\(307\) −0.0398307 −0.00227326 −0.00113663 0.999999i \(-0.500362\pi\)
−0.00113663 + 0.999999i \(0.500362\pi\)
\(308\) −29.2079 5.91710i −1.66427 0.337158i
\(309\) 7.87599 4.54720i 0.448049 0.258681i
\(310\) −2.49266 3.04827i −0.141574 0.173130i
\(311\) 11.5568 0.655328 0.327664 0.944794i \(-0.393739\pi\)
0.327664 + 0.944794i \(0.393739\pi\)
\(312\) 9.01409 3.30972i 0.510323 0.187376i
\(313\) −15.1522 −0.856451 −0.428226 0.903672i \(-0.640861\pi\)
−0.428226 + 0.903672i \(0.640861\pi\)
\(314\) 19.3189 + 23.6251i 1.09023 + 1.33324i
\(315\) −5.95989 + 3.44094i −0.335802 + 0.193875i
\(316\) 5.83757 28.8153i 0.328389 1.62099i
\(317\) −21.4371 −1.20403 −0.602013 0.798486i \(-0.705635\pi\)
−0.602013 + 0.798486i \(0.705635\pi\)
\(318\) 4.15617 + 1.57266i 0.233067 + 0.0881901i
\(319\) 15.2644 + 8.81292i 0.854643 + 0.493429i
\(320\) 4.51477 6.60431i 0.252383 0.369192i
\(321\) 1.37640 2.38400i 0.0768234 0.133062i
\(322\) −21.3281 26.0821i −1.18857 1.45350i
\(323\) −23.6570 40.9751i −1.31631 2.27992i
\(324\) −3.42541 + 1.14930i −0.190301 + 0.0638499i
\(325\) −2.20289 + 2.85434i −0.122194 + 0.158331i
\(326\) −3.57773 21.9106i −0.198152 1.21352i
\(327\) −0.915926 + 0.528810i −0.0506508 + 0.0292433i
\(328\) 9.59978 + 6.04026i 0.530059 + 0.333518i
\(329\) −11.9228 + 20.6509i −0.657325 + 1.13852i
\(330\) −6.01373 + 0.981968i −0.331045 + 0.0540556i
\(331\) −11.6860 + 20.2407i −0.642319 + 1.11253i 0.342595 + 0.939483i \(0.388694\pi\)
−0.984914 + 0.173046i \(0.944639\pi\)
\(332\) 2.99826 14.8000i 0.164551 0.812254i
\(333\) −10.8868 −0.596594
\(334\) −5.09112 + 13.4547i −0.278574 + 0.736207i
\(335\) −0.105635 0.182965i −0.00577146 0.00999645i
\(336\) −11.2977 4.77340i −0.616339 0.260410i
\(337\) −32.2953 −1.75924 −0.879619 0.475680i \(-0.842202\pi\)
−0.879619 + 0.475680i \(0.842202\pi\)
\(338\) 14.8650 + 10.8182i 0.808548 + 0.588430i
\(339\) 7.73096i 0.419888i
\(340\) 10.9230 + 9.64766i 0.592383 + 0.523218i
\(341\) 11.0340 6.37046i 0.597522 0.344980i
\(342\) −18.1505 6.86797i −0.981467 0.371378i
\(343\) 11.0594i 0.597152i
\(344\) 0.756312 19.8823i 0.0407776 1.07198i
\(345\) −5.96601 3.44448i −0.321199 0.185444i
\(346\) −24.6259 + 4.02110i −1.32390 + 0.216176i
\(347\) 4.10416 + 2.36954i 0.220323 + 0.127203i 0.606100 0.795389i \(-0.292733\pi\)
−0.385777 + 0.922592i \(0.626067\pi\)
\(348\) 5.43686 + 4.80207i 0.291446 + 0.257418i
\(349\) 11.1002 + 19.2260i 0.594177 + 1.02915i 0.993662 + 0.112406i \(0.0358557\pi\)
−0.399485 + 0.916740i \(0.630811\pi\)
\(350\) 4.54496 0.742136i 0.242938 0.0396689i
\(351\) 13.7430 + 10.6064i 0.733549 + 0.566129i
\(352\) 18.7357 + 17.8609i 0.998615 + 0.951991i
\(353\) 17.2525 9.96076i 0.918260 0.530158i 0.0351807 0.999381i \(-0.488799\pi\)
0.883080 + 0.469223i \(0.155466\pi\)
\(354\) −1.62014 1.98127i −0.0861097 0.105303i
\(355\) 5.29581 + 3.05754i 0.281072 + 0.162277i
\(356\) 3.01099 + 8.97407i 0.159582 + 0.475625i
\(357\) 11.1713 19.3493i 0.591248 1.02407i
\(358\) −0.634955 + 1.67804i −0.0335584 + 0.0886873i
\(359\) 8.08438i 0.426677i −0.976978 0.213339i \(-0.931566\pi\)
0.976978 0.213339i \(-0.0684337\pi\)
\(360\) 5.97323 + 0.227218i 0.314817 + 0.0119755i
\(361\) −11.5802 20.0576i −0.609486 1.05566i
\(362\) 12.0017 + 14.6769i 0.630795 + 0.771399i
\(363\) 9.35833i 0.491185i
\(364\) −4.43544 23.0591i −0.232480 1.20862i
\(365\) 7.65793i 0.400834i
\(366\) −4.98998 + 4.08045i −0.260831 + 0.213289i
\(367\) 0.926465 + 1.60468i 0.0483611 + 0.0837638i 0.889193 0.457533i \(-0.151267\pi\)
−0.840832 + 0.541297i \(0.817934\pi\)
\(368\) 3.61484 + 29.0407i 0.188437 + 1.51385i
\(369\) 8.47466i 0.441173i
\(370\) 6.81367 + 2.57822i 0.354226 + 0.134036i
\(371\) 5.43334 9.41083i 0.282085 0.488586i
\(372\) 4.97117 1.66793i 0.257743 0.0864784i
\(373\) 11.6966 + 6.75302i 0.605625 + 0.349658i 0.771251 0.636531i \(-0.219631\pi\)
−0.165626 + 0.986189i \(0.552964\pi\)
\(374\) −36.5040 + 29.8503i −1.88758 + 1.54352i
\(375\) 0.815452 0.470802i 0.0421098 0.0243121i
\(376\) 18.3179 9.66673i 0.944673 0.498524i
\(377\) −1.85116 + 13.7643i −0.0953397 + 0.708897i
\(378\) −3.57322 21.8830i −0.183787 1.12554i
\(379\) −16.0577 27.8128i −0.824830 1.42865i −0.902049 0.431633i \(-0.857937\pi\)
0.0772193 0.997014i \(-0.475396\pi\)
\(380\) 9.73326 + 8.59683i 0.499306 + 0.441008i
\(381\) 3.69467 + 2.13312i 0.189284 + 0.109283i
\(382\) 0.249244 + 1.52641i 0.0127524 + 0.0780980i
\(383\) 31.7402 + 18.3252i 1.62185 + 0.936375i 0.986425 + 0.164212i \(0.0525082\pi\)
0.635424 + 0.772163i \(0.280825\pi\)
\(384\) 6.09767 + 8.73529i 0.311170 + 0.445771i
\(385\) 14.9006i 0.759406i
\(386\) 10.0794 26.6377i 0.513030 1.35582i
\(387\) 12.8749 7.43335i 0.654470 0.377858i
\(388\) 11.1186 12.5884i 0.564461 0.639079i
\(389\) 19.7184i 0.999763i 0.866094 + 0.499881i \(0.166623\pi\)
−0.866094 + 0.499881i \(0.833377\pi\)
\(390\) −2.51679 4.08874i −0.127443 0.207041i
\(391\) −53.3116 −2.69608
\(392\) −5.42829 + 8.62718i −0.274170 + 0.435738i
\(393\) 8.53918 + 14.7903i 0.430745 + 0.746072i
\(394\) 17.1867 + 6.50329i 0.865854 + 0.327631i
\(395\) −14.7003 −0.739655
\(396\) −3.84023 + 18.9561i −0.192979 + 0.952581i
\(397\) 5.90055 10.2200i 0.296140 0.512929i −0.679109 0.734037i \(-0.737634\pi\)
0.975249 + 0.221108i \(0.0709672\pi\)
\(398\) −0.917435 5.61852i −0.0459869 0.281631i
\(399\) 9.95451 17.2417i 0.498349 0.863165i
\(400\) −3.68462 1.55679i −0.184231 0.0778396i
\(401\) −15.0742 + 8.70308i −0.752769 + 0.434611i −0.826693 0.562653i \(-0.809781\pi\)
0.0739247 + 0.997264i \(0.476448\pi\)
\(402\) 0.277656 0.0453378i 0.0138482 0.00226124i
\(403\) 7.94753 + 6.13364i 0.395894 + 0.305538i
\(404\) 6.16779 + 18.3827i 0.306859 + 0.914573i
\(405\) 0.903270 + 1.56451i 0.0448838 + 0.0777411i
\(406\) 13.7320 11.2290i 0.681505 0.557286i
\(407\) −11.7860 + 20.4140i −0.584213 + 1.01189i
\(408\) −17.1633 + 9.05744i −0.849710 + 0.448410i
\(409\) −5.92031 3.41809i −0.292740 0.169014i 0.346437 0.938073i \(-0.387392\pi\)
−0.639177 + 0.769060i \(0.720725\pi\)
\(410\) 2.00697 5.30398i 0.0991173 0.261945i
\(411\) −11.2549 −0.555162
\(412\) −3.83540 + 18.9323i −0.188957 + 0.932726i
\(413\) −5.42011 + 3.12930i −0.266706 + 0.153983i
\(414\) −16.9275 + 13.8421i −0.831940 + 0.680301i
\(415\) −7.55031 −0.370630
\(416\) −7.40575 + 19.0041i −0.363097 + 0.931751i
\(417\) 18.8134 0.921298
\(418\) −32.5279 + 26.5990i −1.59099 + 1.30100i
\(419\) −19.7820 + 11.4211i −0.966412 + 0.557958i −0.898140 0.439709i \(-0.855082\pi\)
−0.0682714 + 0.997667i \(0.521748\pi\)
\(420\) −1.21759 + 6.01026i −0.0594124 + 0.293271i
\(421\) 30.1915 1.47144 0.735722 0.677283i \(-0.236843\pi\)
0.735722 + 0.677283i \(0.236843\pi\)
\(422\) 10.6648 28.1845i 0.519152 1.37200i
\(423\) 13.4026 + 7.73797i 0.651655 + 0.376233i
\(424\) −8.34765 + 4.40523i −0.405398 + 0.213937i
\(425\) 3.64340 6.31055i 0.176731 0.306107i
\(426\) −6.30373 + 5.15474i −0.305417 + 0.249748i
\(427\) 7.88137 + 13.6509i 0.381406 + 0.660615i
\(428\) 1.85992 + 5.54337i 0.0899025 + 0.267949i
\(429\) 14.3691 5.90499i 0.693747 0.285096i
\(430\) −9.81832 + 1.60321i −0.473482 + 0.0773137i
\(431\) 6.22337 3.59306i 0.299769 0.173072i −0.342570 0.939492i \(-0.611297\pi\)
0.642339 + 0.766421i \(0.277964\pi\)
\(432\) −7.49561 + 17.7406i −0.360633 + 0.853546i
\(433\) 17.2895 29.9463i 0.830882 1.43913i −0.0664584 0.997789i \(-0.521170\pi\)
0.897340 0.441340i \(-0.145497\pi\)
\(434\) −2.06638 12.6548i −0.0991892 0.607451i
\(435\) 1.81348 3.14104i 0.0869497 0.150601i
\(436\) 0.446032 2.20170i 0.0213611 0.105442i
\(437\) −47.5049 −2.27247
\(438\) 9.53756 + 3.60892i 0.455722 + 0.172441i
\(439\) 1.44165 + 2.49701i 0.0688063 + 0.119176i 0.898376 0.439227i \(-0.144748\pi\)
−0.829570 + 0.558403i \(0.811414\pi\)
\(440\) 6.89266 10.9545i 0.328595 0.522235i
\(441\) −7.61605 −0.362669
\(442\) −32.6881 17.6640i −1.55482 0.840192i
\(443\) 1.83786i 0.0873193i −0.999046 0.0436596i \(-0.986098\pi\)
0.999046 0.0436596i \(-0.0139017\pi\)
\(444\) −6.42209 + 7.27104i −0.304779 + 0.345068i
\(445\) 4.09878 2.36643i 0.194301 0.112180i
\(446\) −4.87915 + 12.8945i −0.231034 + 0.610572i
\(447\) 11.4327i 0.540750i
\(448\) 23.4849 11.2738i 1.10956 0.532637i
\(449\) −9.68862 5.59373i −0.457234 0.263984i 0.253646 0.967297i \(-0.418370\pi\)
−0.710881 + 0.703313i \(0.751703\pi\)
\(450\) −0.481651 2.94971i −0.0227053 0.139051i
\(451\) 15.8909 + 9.17464i 0.748275 + 0.432017i
\(452\) −12.3075 10.8705i −0.578898 0.511307i
\(453\) 1.03273 + 1.78875i 0.0485221 + 0.0840428i
\(454\) −2.65553 16.2629i −0.124630 0.763256i
\(455\) −10.8597 + 4.46278i −0.509108 + 0.209218i
\(456\) −15.2939 + 8.07089i −0.716201 + 0.377954i
\(457\) 16.7719 9.68325i 0.784555 0.452963i −0.0534869 0.998569i \(-0.517034\pi\)
0.838042 + 0.545605i \(0.183700\pi\)
\(458\) 23.7362 19.4097i 1.10912 0.906957i
\(459\) −30.3839 17.5422i −1.41820 0.818798i
\(460\) 13.8724 4.65448i 0.646803 0.217016i
\(461\) −10.7162 + 18.5611i −0.499105 + 0.864476i −0.999999 0.00103265i \(-0.999671\pi\)
0.500894 + 0.865509i \(0.333005\pi\)
\(462\) −18.5580 7.02215i −0.863394 0.326700i
\(463\) 23.6913i 1.10103i −0.834825 0.550515i \(-0.814431\pi\)
0.834825 0.550515i \(-0.185569\pi\)
\(464\) −15.2896 + 1.90317i −0.709802 + 0.0883526i
\(465\) −1.31088 2.27051i −0.0607907 0.105293i
\(466\) −17.6867 + 14.4629i −0.819319 + 0.669981i
\(467\) 1.19692i 0.0553869i 0.999616 + 0.0276934i \(0.00881622\pi\)
−0.999616 + 0.0276934i \(0.991184\pi\)
\(468\) −14.9655 + 2.87863i −0.691780 + 0.133065i
\(469\) 0.687966i 0.0317673i
\(470\) −6.55566 8.01692i −0.302390 0.369793i
\(471\) 10.1598 + 17.5972i 0.468137 + 0.810837i
\(472\) 5.43224 + 0.206639i 0.250039 + 0.00951134i
\(473\) 32.1893i 1.48006i
\(474\) 6.92777 18.3085i 0.318203 0.840938i
\(475\) 3.24655 5.62320i 0.148962 0.258010i
\(476\) 15.0956 + 44.9916i 0.691907 + 2.06219i
\(477\) −6.10769 3.52628i −0.279652 0.161457i
\(478\) 0.876635 + 1.07204i 0.0400963 + 0.0490338i
\(479\) 9.74703 5.62745i 0.445353 0.257125i −0.260513 0.965470i \(-0.583892\pi\)
0.705866 + 0.708346i \(0.250558\pi\)
\(480\) 3.67534 3.85534i 0.167755 0.175971i
\(481\) −18.4078 2.47567i −0.839324 0.112881i
\(482\) −14.9281 + 2.43758i −0.679958 + 0.111029i
\(483\) −11.2164 19.4273i −0.510363 0.883974i
\(484\) 14.8983 + 13.1588i 0.677194 + 0.598127i
\(485\) −7.27269 4.19889i −0.330236 0.190662i
\(486\) −22.5346 + 3.67962i −1.02219 + 0.166911i
\(487\) −10.4861 6.05415i −0.475170 0.274340i 0.243231 0.969968i \(-0.421793\pi\)
−0.718401 + 0.695629i \(0.755126\pi\)
\(488\) 0.520436 13.6815i 0.0235590 0.619332i
\(489\) 14.7816i 0.668447i
\(490\) 4.76661 + 1.80364i 0.215333 + 0.0814800i
\(491\) −2.03007 + 1.17206i −0.0916159 + 0.0528945i −0.545108 0.838366i \(-0.683511\pi\)
0.453492 + 0.891260i \(0.350178\pi\)
\(492\) 5.66001 + 4.99916i 0.255173 + 0.225380i
\(493\) 28.0680i 1.26412i
\(494\) −29.1277 15.7400i −1.31052 0.708178i
\(495\) 9.67060 0.434661
\(496\) −4.33467 + 10.2593i −0.194632 + 0.460656i
\(497\) 9.95636 + 17.2449i 0.446604 + 0.773541i
\(498\) 3.55820 9.40353i 0.159447 0.421382i
\(499\) 0.0649069 0.00290563 0.00145282 0.999999i \(-0.499538\pi\)
0.00145282 + 0.999999i \(0.499538\pi\)
\(500\) −0.397104 + 1.96018i −0.0177590 + 0.0876619i
\(501\) −4.78909 + 8.29495i −0.213961 + 0.370591i
\(502\) −2.28143 + 0.372530i −0.101825 + 0.0166268i
\(503\) −17.2819 + 29.9331i −0.770560 + 1.33465i 0.166697 + 0.986008i \(0.446690\pi\)
−0.937256 + 0.348641i \(0.886643\pi\)
\(504\) 16.4750 + 10.3662i 0.733854 + 0.461747i
\(505\) 8.39604 4.84746i 0.373619 0.215709i
\(506\) 7.62983 + 46.7263i 0.339187 + 2.07724i
\(507\) 8.60718 + 8.70372i 0.382258 + 0.386546i
\(508\) −8.59098 + 2.88246i −0.381163 + 0.127888i
\(509\) −4.66463 8.07937i −0.206756 0.358112i 0.743935 0.668252i \(-0.232957\pi\)
−0.950691 + 0.310140i \(0.899624\pi\)
\(510\) 6.14246 + 7.51161i 0.271993 + 0.332620i
\(511\) 12.4684 21.5959i 0.551569 0.955346i
\(512\) −22.4804 2.57536i −0.993502 0.113816i
\(513\) −27.0745 15.6314i −1.19537 0.690145i
\(514\) 37.8060 + 14.3054i 1.66755 + 0.630985i
\(515\) 9.65843 0.425601
\(516\) 2.63032 12.9838i 0.115793 0.571578i
\(517\) 29.0191 16.7542i 1.27626 0.736849i
\(518\) 15.0172 + 18.3646i 0.659819 + 0.806893i
\(519\) −16.6134 −0.729247
\(520\) 10.0481 + 1.74250i 0.440637 + 0.0764139i
\(521\) 12.9021 0.565251 0.282626 0.959230i \(-0.408795\pi\)
0.282626 + 0.959230i \(0.408795\pi\)
\(522\) −7.28770 8.91213i −0.318974 0.390073i
\(523\) −6.38548 + 3.68666i −0.279218 + 0.161206i −0.633069 0.774095i \(-0.718205\pi\)
0.353852 + 0.935302i \(0.384872\pi\)
\(524\) −35.5528 7.20249i −1.55313 0.314642i
\(525\) 3.06618 0.133819
\(526\) 1.56781 + 0.593245i 0.0683599 + 0.0258667i
\(527\) −17.5708 10.1445i −0.765398 0.441903i
\(528\) 10.3950 + 13.7469i 0.452384 + 0.598258i
\(529\) −15.2634 + 26.4369i −0.663624 + 1.14943i
\(530\) 2.98748 + 3.65339i 0.129768 + 0.158693i
\(531\) 2.03094 + 3.51768i 0.0881351 + 0.152654i
\(532\) 13.4514 + 40.0910i 0.583192 + 1.73817i
\(533\) −1.92714 + 14.3292i −0.0834738 + 0.620668i
\(534\) 1.01566 + 6.22004i 0.0439517 + 0.269167i
\(535\) 2.53186 1.46177i 0.109462 0.0631977i
\(536\) −0.318236 + 0.505772i −0.0137457 + 0.0218460i
\(537\) −0.597287 + 1.03453i −0.0257748 + 0.0446433i
\(538\) −28.9554 + 4.72806i −1.24836 + 0.203841i
\(539\) −8.24511 + 14.2810i −0.355142 + 0.615124i
\(540\) 9.43784 + 1.91197i 0.406140 + 0.0822780i
\(541\) −10.9267 −0.469775 −0.234888 0.972023i \(-0.575472\pi\)
−0.234888 + 0.972023i \(0.575472\pi\)
\(542\) 2.30827 6.10024i 0.0991487 0.262028i
\(543\) 6.31165 + 10.9321i 0.270859 + 0.469141i
\(544\) 9.71414 40.0594i 0.416490 1.71753i
\(545\) −1.12321 −0.0481131
\(546\) −0.440383 15.6283i −0.0188467 0.668829i
\(547\) 37.9154i 1.62114i 0.585639 + 0.810572i \(0.300843\pi\)
−0.585639 + 0.810572i \(0.699157\pi\)
\(548\) 15.8255 17.9175i 0.676033 0.765400i
\(549\) 8.85955 5.11506i 0.378116 0.218306i
\(550\) −6.05247 2.29020i −0.258078 0.0976543i
\(551\) 25.0108i 1.06550i
\(552\) −0.740659 + 19.4708i −0.0315245 + 0.828733i
\(553\) −41.4560 23.9346i −1.76289 1.01780i
\(554\) 27.4639 4.48451i 1.16683 0.190529i
\(555\) 4.20070 + 2.42528i 0.178310 + 0.102947i
\(556\) −26.4537 + 29.9506i −1.12189 + 1.27019i
\(557\) 7.58932 + 13.1451i 0.321570 + 0.556975i 0.980812 0.194955i \(-0.0624562\pi\)
−0.659242 + 0.751931i \(0.729123\pi\)
\(558\) −8.21306 + 1.34109i −0.347686 + 0.0567729i
\(559\) 23.4597 9.64079i 0.992241 0.407762i
\(560\) −7.85616 10.3894i −0.331983 0.439034i
\(561\) −27.1901 + 15.6982i −1.14797 + 0.662778i
\(562\) 20.5703 + 25.1554i 0.867705 + 1.06112i
\(563\) 9.61390 + 5.55059i 0.405178 + 0.233929i 0.688716 0.725032i \(-0.258175\pi\)
−0.283538 + 0.958961i \(0.591508\pi\)
\(564\) 13.0741 4.38664i 0.550520 0.184711i
\(565\) −4.10521 + 7.11043i −0.172707 + 0.299138i
\(566\) −8.91950 + 23.5722i −0.374915 + 0.990815i
\(567\) 5.88270i 0.247050i
\(568\) 0.657456 17.2835i 0.0275862 0.725201i
\(569\) −2.01815 3.49553i −0.0846051 0.146540i 0.820618 0.571477i \(-0.193630\pi\)
−0.905223 + 0.424937i \(0.860296\pi\)
\(570\) 5.47341 + 6.69344i 0.229256 + 0.280357i
\(571\) 12.7832i 0.534960i 0.963563 + 0.267480i \(0.0861909\pi\)
−0.963563 + 0.267480i \(0.913809\pi\)
\(572\) −10.8038 + 31.1784i −0.451731 + 1.30363i
\(573\) 1.02977i 0.0430191i
\(574\) 14.2956 11.6899i 0.596686 0.487927i
\(575\) −3.65810 6.33601i −0.152553 0.264230i
\(576\) −7.31677 15.2418i −0.304865 0.635077i
\(577\) 25.9751i 1.08136i −0.841229 0.540679i \(-0.818168\pi\)
0.841229 0.540679i \(-0.181832\pi\)
\(578\) 47.7456 + 18.0665i 1.98596 + 0.751466i
\(579\) 9.48150 16.4224i 0.394038 0.682493i
\(580\) 2.45053 + 7.30365i 0.101753 + 0.303268i
\(581\) −21.2924 12.2932i −0.883358 0.510007i
\(582\) 8.65687 7.07897i 0.358839 0.293433i
\(583\) −13.2243 + 7.63507i −0.547696 + 0.316212i
\(584\) −19.1561 + 10.1091i −0.792686 + 0.418317i
\(585\) 2.89637 + 7.04798i 0.119750 + 0.291398i
\(586\) −0.875393 5.36105i −0.0361622 0.221463i
\(587\) 14.5416 + 25.1867i 0.600194 + 1.03957i 0.992791 + 0.119856i \(0.0382434\pi\)
−0.392597 + 0.919711i \(0.628423\pi\)
\(588\) −4.49268 + 5.08657i −0.185275 + 0.209767i
\(589\) −15.6570 9.03958i −0.645136 0.372469i
\(590\) −0.438029 2.68256i −0.0180334 0.110439i
\(591\) 10.5958 + 6.11749i 0.435853 + 0.251640i
\(592\) −2.54523 20.4477i −0.104608 0.840395i
\(593\) 25.3253i 1.03998i 0.854171 + 0.519992i \(0.174065\pi\)
−0.854171 + 0.519992i \(0.825935\pi\)
\(594\) −11.0268 + 29.1413i −0.452435 + 1.19568i
\(595\) 20.5493 11.8641i 0.842438 0.486382i
\(596\) −18.2007 16.0756i −0.745529 0.658483i
\(597\) 3.79043i 0.155132i
\(598\) −31.7692 + 19.5553i −1.29914 + 0.799677i
\(599\) 17.8764 0.730409 0.365205 0.930927i \(-0.380999\pi\)
0.365205 + 0.930927i \(0.380999\pi\)
\(600\) −2.25416 1.41834i −0.0920258 0.0579034i
\(601\) −10.6079 18.3734i −0.432705 0.749467i 0.564400 0.825501i \(-0.309108\pi\)
−0.997105 + 0.0760342i \(0.975774\pi\)
\(602\) −30.2987 11.4647i −1.23488 0.467267i
\(603\) −0.446494 −0.0181827
\(604\) −4.29979 0.871074i −0.174956 0.0354435i
\(605\) 4.96936 8.60718i 0.202033 0.349932i
\(606\) 2.08049 + 12.7413i 0.0845142 + 0.517579i
\(607\) 3.60796 6.24918i 0.146443 0.253646i −0.783468 0.621433i \(-0.786551\pi\)
0.929910 + 0.367786i \(0.119884\pi\)
\(608\) 8.65606 35.6960i 0.351050 1.44767i
\(609\) 10.2283 5.90530i 0.414471 0.239295i
\(610\) −6.75622 + 1.10321i −0.273551 + 0.0446676i
\(611\) 20.9019 + 16.1314i 0.845600 + 0.652606i
\(612\) 29.1998 9.79717i 1.18033 0.396027i
\(613\) 6.41919 + 11.1184i 0.259269 + 0.449067i 0.966046 0.258369i \(-0.0831851\pi\)
−0.706777 + 0.707436i \(0.749852\pi\)
\(614\) 0.0436060 0.0356579i 0.00175979 0.00143903i
\(615\) 1.88791 3.26996i 0.0761280 0.131858i
\(616\) 37.2735 19.6700i 1.50179 0.792528i
\(617\) −15.5078 8.95345i −0.624322 0.360452i 0.154228 0.988035i \(-0.450711\pi\)
−0.778550 + 0.627583i \(0.784044\pi\)
\(618\) −4.55168 + 12.0291i −0.183096 + 0.483880i
\(619\) 21.6358 0.869618 0.434809 0.900523i \(-0.356816\pi\)
0.434809 + 0.900523i \(0.356816\pi\)
\(620\) 5.45785 + 1.10568i 0.219193 + 0.0444052i
\(621\) −30.5065 + 17.6129i −1.22418 + 0.706782i
\(622\) −12.6522 + 10.3461i −0.507308 + 0.414840i
\(623\) 15.4118 0.617461
\(624\) −6.90551 + 11.6932i −0.276442 + 0.468101i
\(625\) 1.00000 0.0400000
\(626\) 16.5884 13.5648i 0.663004 0.542157i
\(627\) −24.2285 + 13.9883i −0.967593 + 0.558640i
\(628\) −42.3001 8.56939i −1.68796 0.341956i
\(629\) 37.5370 1.49670
\(630\) 3.44433 9.10260i 0.137226 0.362656i
\(631\) 11.0070 + 6.35490i 0.438182 + 0.252985i 0.702826 0.711361i \(-0.251921\pi\)
−0.264644 + 0.964346i \(0.585254\pi\)
\(632\) 19.4057 + 36.7726i 0.771916 + 1.46273i
\(633\) 10.0321 17.3761i 0.398739 0.690637i
\(634\) 23.4690 19.1913i 0.932072 0.762182i
\(635\) 2.26541 + 3.92381i 0.0899002 + 0.155712i
\(636\) −5.95801 + 1.99904i −0.236251 + 0.0792671i
\(637\) −12.8775 1.73189i −0.510224 0.0686202i
\(638\) −24.6009 + 4.01702i −0.973958 + 0.159035i
\(639\) 11.1921 6.46174i 0.442751 0.255623i
\(640\) 0.969718 + 11.2721i 0.0383315 + 0.445568i
\(641\) 23.4415 40.6018i 0.925882 1.60367i 0.135745 0.990744i \(-0.456657\pi\)
0.790137 0.612931i \(-0.210009\pi\)
\(642\) 0.627380 + 3.84218i 0.0247607 + 0.151639i
\(643\) 4.08952 7.08325i 0.161275 0.279336i −0.774051 0.633123i \(-0.781773\pi\)
0.935326 + 0.353787i \(0.115106\pi\)
\(644\) 46.6993 + 9.46060i 1.84021 + 0.372800i
\(645\) −6.62375 −0.260810
\(646\) 62.5817 + 23.6803i 2.46224 + 0.931689i
\(647\) 0.875253 + 1.51598i 0.0344097 + 0.0595994i 0.882717 0.469904i \(-0.155712\pi\)
−0.848308 + 0.529504i \(0.822378\pi\)
\(648\) 2.72119 4.32479i 0.106899 0.169894i
\(649\) 8.79474 0.345224
\(650\) −0.143626 5.09700i −0.00563348 0.199921i
\(651\) 8.53734i 0.334605i
\(652\) 23.5320 + 20.7845i 0.921585 + 0.813983i
\(653\) 28.9507 16.7147i 1.13293 0.654096i 0.188258 0.982120i \(-0.439716\pi\)
0.944669 + 0.328024i \(0.106383\pi\)
\(654\) 0.529331 1.39890i 0.0206985 0.0547014i
\(655\) 18.1375i 0.708692i
\(656\) −15.9171 + 1.98129i −0.621460 + 0.0773563i
\(657\) −14.0159 8.09207i −0.546811 0.315702i
\(658\) −5.43454 33.2820i −0.211860 1.29747i
\(659\) 24.5902 + 14.1972i 0.957899 + 0.553043i 0.895526 0.445010i \(-0.146800\pi\)
0.0623733 + 0.998053i \(0.480133\pi\)
\(660\) 5.70464 6.45875i 0.222053 0.251407i
\(661\) 16.0451 + 27.7908i 0.624080 + 1.08094i 0.988718 + 0.149789i \(0.0478595\pi\)
−0.364638 + 0.931149i \(0.618807\pi\)
\(662\) −5.32659 32.6209i −0.207024 1.26785i
\(663\) −19.5844 15.1146i −0.760596 0.587003i
\(664\) 9.96703 + 18.8869i 0.386796 + 0.732955i
\(665\) 18.3110 10.5719i 0.710071 0.409960i
\(666\) 11.9187 9.74628i 0.461841 0.377661i
\(667\) −24.4057 14.0906i −0.944991 0.545591i
\(668\) −6.47144 19.2877i −0.250388 0.746264i
\(669\) −4.58970 + 7.94959i −0.177448 + 0.307349i
\(670\) 0.279445 + 0.105739i 0.0107959 + 0.00408506i
\(671\) 22.1502i 0.855099i
\(672\) 16.6418 4.88826i 0.641973 0.188569i
\(673\) 22.3377 + 38.6901i 0.861056 + 1.49139i 0.870911 + 0.491441i \(0.163530\pi\)
−0.00985491 + 0.999951i \(0.503137\pi\)
\(674\) 35.3564 28.9119i 1.36188 1.11365i
\(675\) 4.81478i 0.185321i
\(676\) −25.9587 + 1.46412i −0.998413 + 0.0563125i
\(677\) 38.4184i 1.47654i −0.674506 0.738270i \(-0.735643\pi\)
0.674506 0.738270i \(-0.264357\pi\)
\(678\) −6.92103 8.46373i −0.265801 0.325048i
\(679\) −13.6730 23.6823i −0.524722 0.908844i
\(680\) −20.5953 0.783432i −0.789793 0.0300433i
\(681\) 10.9715i 0.420428i
\(682\) −6.37673 + 16.8523i −0.244178 + 0.645307i
\(683\) 11.6110 20.1108i 0.444281 0.769518i −0.553721 0.832703i \(-0.686792\pi\)
0.998002 + 0.0631848i \(0.0201258\pi\)
\(684\) 26.0193 8.73005i 0.994875 0.333802i
\(685\) −10.3515 5.97644i −0.395511 0.228348i
\(686\) −9.90079 12.1077i −0.378014 0.462273i
\(687\) 17.6799 10.2075i 0.674531 0.389441i
\(688\) 16.9714 + 22.4439i 0.647028 + 0.855667i
\(689\) −9.52521 7.35124i −0.362881 0.280060i
\(690\) 9.61511 1.57003i 0.366041 0.0597700i
\(691\) −24.0825 41.7121i −0.916140 1.58680i −0.805223 0.592972i \(-0.797955\pi\)
−0.110917 0.993830i \(-0.535379\pi\)
\(692\) 23.3602 26.4482i 0.888021 1.00541i
\(693\) 27.2718 + 15.7454i 1.03597 + 0.598117i
\(694\) −6.61446 + 1.08006i −0.251081 + 0.0409985i
\(695\) 17.3034 + 9.99011i 0.656355 + 0.378947i
\(696\) −10.2512 0.389949i −0.388570 0.0147810i
\(697\) 29.2200i 1.10679i
\(698\) −29.3641 11.1111i −1.11145 0.420561i
\(699\) −13.1740 + 7.60599i −0.498285 + 0.287685i
\(700\) −4.31136 + 4.88129i −0.162954 + 0.184496i
\(701\) 40.5311i 1.53084i −0.643533 0.765419i \(-0.722532\pi\)
0.643533 0.765419i \(-0.277468\pi\)
\(702\) −24.5409 + 0.691528i −0.926237 + 0.0261001i
\(703\) 33.4484 1.26153
\(704\) −36.5013 2.78100i −1.37569 0.104813i
\(705\) −3.44760 5.97142i −0.129844 0.224897i
\(706\) −9.97058 + 26.3500i −0.375248 + 0.991695i
\(707\) 31.5699 1.18731
\(708\) 3.54742 + 0.718655i 0.133320 + 0.0270087i
\(709\) −18.1735 + 31.4774i −0.682520 + 1.18216i 0.291690 + 0.956513i \(0.405782\pi\)
−0.974209 + 0.225646i \(0.927551\pi\)
\(710\) −8.53498 + 1.39366i −0.320312 + 0.0523030i
\(711\) −15.5337 + 26.9052i −0.582560 + 1.00902i
\(712\) −11.3303 7.12912i −0.424621 0.267175i
\(713\) −17.6417 + 10.1855i −0.660688 + 0.381449i
\(714\) 5.09200 + 31.1842i 0.190563 + 1.16704i
\(715\) 16.3514 + 2.19910i 0.611507 + 0.0822417i
\(716\) −0.807106 2.40553i −0.0301630 0.0898988i
\(717\) 0.461019 + 0.798509i 0.0172171 + 0.0298208i
\(718\) 7.23743 + 8.85065i 0.270098 + 0.330303i
\(719\) −21.8623 + 37.8667i −0.815327 + 1.41219i 0.0937658 + 0.995594i \(0.470110\pi\)
−0.909093 + 0.416594i \(0.863224\pi\)
\(720\) −6.74281 + 5.09870i −0.251290 + 0.190017i
\(721\) 27.2374 + 15.7255i 1.01438 + 0.585650i
\(722\) 30.6341 + 11.5916i 1.14008 + 0.431396i
\(723\) −10.0710 −0.374544
\(724\) −26.2785 5.32365i −0.976634 0.197852i
\(725\) 3.33584 1.92595i 0.123890 0.0715279i
\(726\) 8.37791 + 10.2453i 0.310934 + 0.380240i
\(727\) −4.55677 −0.169001 −0.0845005 0.996423i \(-0.526929\pi\)
−0.0845005 + 0.996423i \(0.526929\pi\)
\(728\) 25.4992 + 21.2739i 0.945062 + 0.788464i
\(729\) −9.78292 −0.362330
\(730\) 6.85566 + 8.38378i 0.253739 + 0.310298i
\(731\) −44.3919 + 25.6297i −1.64189 + 0.947947i
\(732\) 1.80998 8.93443i 0.0668990 0.330226i
\(733\) 12.6156 0.465968 0.232984 0.972481i \(-0.425151\pi\)
0.232984 + 0.972481i \(0.425151\pi\)
\(734\) −2.45085 0.927378i −0.0904625 0.0342301i
\(735\) 2.93867 + 1.69664i 0.108394 + 0.0625815i
\(736\) −29.9557 28.5571i −1.10418 1.05263i
\(737\) −0.483373 + 0.837227i −0.0178053 + 0.0308397i
\(738\) −7.58682 9.27792i −0.279275 0.341525i
\(739\) −16.5996 28.7514i −0.610626 1.05764i −0.991135 0.132858i \(-0.957584\pi\)
0.380509 0.924777i \(-0.375749\pi\)
\(740\) −9.76761 + 3.27724i −0.359065 + 0.120474i
\(741\) −17.4513 13.4683i −0.641088 0.494771i
\(742\) 2.47658 + 15.1670i 0.0909180 + 0.556796i
\(743\) −11.7877 + 6.80565i −0.432450 + 0.249675i −0.700390 0.713760i \(-0.746991\pi\)
0.267940 + 0.963436i \(0.413657\pi\)
\(744\) −3.94917 + 6.27640i −0.144783 + 0.230104i
\(745\) −6.07088 + 10.5151i −0.222420 + 0.385243i
\(746\) −18.8508 + 3.07810i −0.690175 + 0.112697i
\(747\) −7.97835 + 13.8189i −0.291913 + 0.505607i
\(748\) 13.2409 65.3593i 0.484134 2.38977i
\(749\) 9.52001 0.347854
\(750\) −0.471265 + 1.24545i −0.0172082 + 0.0454774i
\(751\) 1.60795 + 2.78505i 0.0586748 + 0.101628i 0.893871 0.448325i \(-0.147979\pi\)
−0.835196 + 0.549952i \(0.814646\pi\)
\(752\) −11.4001 + 26.9818i −0.415720 + 0.983926i
\(753\) −1.53913 −0.0560889
\(754\) −10.2957 16.7261i −0.374946 0.609130i
\(755\) 2.19357i 0.0798321i
\(756\) 23.5023 + 20.7583i 0.854772 + 0.754971i
\(757\) 18.8023 10.8555i 0.683381 0.394550i −0.117746 0.993044i \(-0.537567\pi\)
0.801128 + 0.598493i \(0.204234\pi\)
\(758\) 42.4788 + 16.0735i 1.54290 + 0.583817i
\(759\) 31.5230i 1.14421i
\(760\) −18.3520 0.698100i −0.665698 0.0253227i
\(761\) 9.68269 + 5.59031i 0.350997 + 0.202648i 0.665124 0.746733i \(-0.268378\pi\)
−0.314127 + 0.949381i \(0.601712\pi\)
\(762\) −5.95452 + 0.972299i −0.215709 + 0.0352227i
\(763\) −3.16754 1.82878i −0.114672 0.0662062i
\(764\) −1.63937 1.44796i −0.0593102 0.0523853i
\(765\) −7.69990 13.3366i −0.278390 0.482186i
\(766\) −51.1541 + 8.35283i −1.84827 + 0.301800i
\(767\) 2.63405 + 6.40965i 0.0951101 + 0.231439i
\(768\) −14.4958 4.10441i −0.523072 0.148105i
\(769\) 17.5967 10.1595i 0.634553 0.366360i −0.147960 0.988993i \(-0.547271\pi\)
0.782513 + 0.622634i \(0.213937\pi\)
\(770\) −13.3396 16.3130i −0.480725 0.587878i