Properties

Label 234.2.z.a.41.14
Level $234$
Weight $2$
Character 234.41
Analytic conductor $1.868$
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] = [234,2,Mod(41,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([10, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.z (of order \(12\), degree \(4\), 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: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.14
Character \(\chi\) \(=\) 234.41
Dual form 234.2.z.a.137.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(1.61301 + 0.631032i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.748082 + 0.200448i) q^{5} +(1.72137 + 0.192053i) q^{6} +(-0.456400 - 0.456400i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.20360 + 2.03572i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(1.61301 + 0.631032i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-0.748082 + 0.200448i) q^{5} +(1.72137 + 0.192053i) q^{6} +(-0.456400 - 0.456400i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.20360 + 2.03572i) q^{9} +(-0.670712 + 0.387236i) q^{10} +(0.285599 + 1.06587i) q^{11} +(1.71242 - 0.260014i) q^{12} +(-1.23841 - 3.38620i) q^{13} +(-0.558973 - 0.322723i) q^{14} +(-1.33315 - 0.148740i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.49547 + 2.59023i) q^{17} +(2.65539 + 1.39602i) q^{18} +(-0.360069 - 1.34379i) q^{19} +(-0.547634 + 0.547634i) q^{20} +(-0.448174 - 1.02418i) q^{21} +(0.551734 + 0.955631i) q^{22} -5.29497 q^{23} +(1.58678 - 0.694362i) q^{24} +(-3.81068 + 2.20010i) q^{25} +(-2.07263 - 2.95029i) q^{26} +(2.26981 + 4.67418i) q^{27} +(-0.623453 - 0.167054i) q^{28} +(0.786294 + 0.453967i) q^{29} +(-1.32622 + 0.201374i) q^{30} +(-1.43905 - 5.37059i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-0.211925 + 1.89948i) q^{33} +(-0.774112 + 2.88903i) q^{34} +(0.432909 + 0.249940i) q^{35} +(2.92623 + 0.661189i) q^{36} +(1.88903 - 7.04995i) q^{37} +(-0.695599 - 1.20481i) q^{38} +(0.139227 - 6.24345i) q^{39} +(-0.387236 + 0.670712i) q^{40} +(0.717671 + 0.717671i) q^{41} +(-0.697980 - 0.873286i) q^{42} +6.49134i q^{43} +(0.780270 + 0.780270i) q^{44} +(-2.05653 - 1.08118i) q^{45} +(-5.11455 + 1.37044i) q^{46} +(2.99897 + 0.803570i) q^{47} +(1.35299 - 1.08139i) q^{48} -6.58340i q^{49} +(-3.11141 + 3.11141i) q^{50} +(-4.04673 + 3.23437i) q^{51} +(-2.76560 - 2.31333i) q^{52} +10.8935i q^{53} +(3.40224 + 3.92744i) q^{54} +(-0.427302 - 0.740109i) q^{55} -0.645446 q^{56} +(0.267184 - 2.39477i) q^{57} +(0.876997 + 0.234991i) q^{58} +(-9.75565 - 2.61402i) q^{59} +(-1.22891 + 0.537764i) q^{60} +10.8544 q^{61} +(-2.78002 - 4.81514i) q^{62} +(-0.0766175 - 1.93482i) q^{63} -1.00000i q^{64} +(1.60519 + 2.28492i) q^{65} +(0.286917 + 1.88960i) q^{66} +(0.762137 - 0.762137i) q^{67} +2.99094i q^{68} +(-8.54083 - 3.34130i) q^{69} +(0.482847 + 0.129378i) q^{70} +(-1.68422 + 0.451285i) q^{71} +(2.99765 - 0.118705i) q^{72} +(-2.70493 - 2.70493i) q^{73} -7.29864i q^{74} +(-7.53499 + 1.14411i) q^{75} +(-0.983725 - 0.983725i) q^{76} +(0.356115 - 0.616809i) q^{77} +(-1.48144 - 6.06674i) q^{78} +(3.01910 + 5.22924i) q^{79} +(-0.200448 + 0.748082i) q^{80} +(0.711670 + 8.97182i) q^{81} +(0.878964 + 0.507470i) q^{82} +(-2.95813 + 11.0399i) q^{83} +(-0.900220 - 0.662879i) q^{84} +(0.599528 - 2.23747i) q^{85} +(1.68008 + 6.27015i) q^{86} +(0.981831 + 1.22843i) q^{87} +(0.955631 + 0.551734i) q^{88} +(12.0109 + 3.21832i) q^{89} +(-2.26628 - 0.512072i) q^{90} +(-0.980247 + 2.11067i) q^{91} +(-4.58558 + 2.64748i) q^{92} +(1.06782 - 9.57090i) q^{93} +3.10476 q^{94} +(0.538722 + 0.933093i) q^{95} +(1.02701 - 1.39472i) q^{96} +(9.31815 - 9.31815i) q^{97} +(-1.70391 - 6.35908i) q^{98} +(-1.54047 + 2.93014i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{7} - 24 q^{11} + 28 q^{16} - 8 q^{19} - 24 q^{21} + 36 q^{27} - 4 q^{28} - 24 q^{30} - 4 q^{31} + 60 q^{33} - 24 q^{35} - 4 q^{37} + 36 q^{38} - 48 q^{41} - 36 q^{42} - 84 q^{45} - 36 q^{47} - 24 q^{50} + 8 q^{52} - 36 q^{54} + 36 q^{57} + 24 q^{60} - 48 q^{63} - 36 q^{65} + 28 q^{67} + 84 q^{69} - 24 q^{71} - 24 q^{72} + 28 q^{73} + 4 q^{76} + 24 q^{77} - 60 q^{78} - 24 q^{79} + 24 q^{81} - 96 q^{83} - 72 q^{85} + 4 q^{91} - 24 q^{92} - 36 q^{93} - 52 q^{97} + 48 q^{98} + 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) 1.61301 + 0.631032i 0.931271 + 0.364327i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −0.748082 + 0.200448i −0.334552 + 0.0896431i −0.422185 0.906510i \(-0.638737\pi\)
0.0876323 + 0.996153i \(0.472070\pi\)
\(6\) 1.72137 + 0.192053i 0.702746 + 0.0784054i
\(7\) −0.456400 0.456400i −0.172503 0.172503i 0.615575 0.788078i \(-0.288924\pi\)
−0.788078 + 0.615575i \(0.788924\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.20360 + 2.03572i 0.734532 + 0.678574i
\(10\) −0.670712 + 0.387236i −0.212098 + 0.122455i
\(11\) 0.285599 + 1.06587i 0.0861112 + 0.321371i 0.995522 0.0945270i \(-0.0301339\pi\)
−0.909411 + 0.415898i \(0.863467\pi\)
\(12\) 1.71242 0.260014i 0.494334 0.0750597i
\(13\) −1.23841 3.38620i −0.343474 0.939162i
\(14\) −0.558973 0.322723i −0.149392 0.0862514i
\(15\) −1.33315 0.148740i −0.344218 0.0384044i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.49547 + 2.59023i −0.362705 + 0.628223i −0.988405 0.151840i \(-0.951480\pi\)
0.625700 + 0.780064i \(0.284813\pi\)
\(18\) 2.65539 + 1.39602i 0.625882 + 0.329046i
\(19\) −0.360069 1.34379i −0.0826054 0.308287i 0.912245 0.409646i \(-0.134348\pi\)
−0.994850 + 0.101358i \(0.967681\pi\)
\(20\) −0.547634 + 0.547634i −0.122455 + 0.122455i
\(21\) −0.448174 1.02418i −0.0977995 0.223494i
\(22\) 0.551734 + 0.955631i 0.117630 + 0.203741i
\(23\) −5.29497 −1.10408 −0.552039 0.833819i \(-0.686150\pi\)
−0.552039 + 0.833819i \(0.686150\pi\)
\(24\) 1.58678 0.694362i 0.323899 0.141736i
\(25\) −3.81068 + 2.20010i −0.762136 + 0.440019i
\(26\) −2.07263 2.95029i −0.406476 0.578599i
\(27\) 2.26981 + 4.67418i 0.436826 + 0.899546i
\(28\) −0.623453 0.167054i −0.117822 0.0315702i
\(29\) 0.786294 + 0.453967i 0.146011 + 0.0842996i 0.571226 0.820793i \(-0.306468\pi\)
−0.425215 + 0.905093i \(0.639801\pi\)
\(30\) −1.32622 + 0.201374i −0.242134 + 0.0367656i
\(31\) −1.43905 5.37059i −0.258460 0.964587i −0.966133 0.258046i \(-0.916921\pi\)
0.707672 0.706541i \(-0.249745\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −0.211925 + 1.89948i −0.0368913 + 0.330657i
\(34\) −0.774112 + 2.88903i −0.132759 + 0.495464i
\(35\) 0.432909 + 0.249940i 0.0731749 + 0.0422476i
\(36\) 2.92623 + 0.661189i 0.487705 + 0.110198i
\(37\) 1.88903 7.04995i 0.310554 1.15900i −0.617504 0.786568i \(-0.711856\pi\)
0.928058 0.372436i \(-0.121477\pi\)
\(38\) −0.695599 1.20481i −0.112841 0.195446i
\(39\) 0.139227 6.24345i 0.0222942 0.999751i
\(40\) −0.387236 + 0.670712i −0.0612273 + 0.106049i
\(41\) 0.717671 + 0.717671i 0.112081 + 0.112081i 0.760923 0.648842i \(-0.224746\pi\)
−0.648842 + 0.760923i \(0.724746\pi\)
\(42\) −0.697980 0.873286i −0.107701 0.134751i
\(43\) 6.49134i 0.989920i 0.868916 + 0.494960i \(0.164817\pi\)
−0.868916 + 0.494960i \(0.835183\pi\)
\(44\) 0.780270 + 0.780270i 0.117630 + 0.117630i
\(45\) −2.05653 1.08118i −0.306569 0.161173i
\(46\) −5.11455 + 1.37044i −0.754099 + 0.202060i
\(47\) 2.99897 + 0.803570i 0.437444 + 0.117213i 0.470818 0.882230i \(-0.343959\pi\)
−0.0333743 + 0.999443i \(0.510625\pi\)
\(48\) 1.35299 1.08139i 0.195288 0.156085i
\(49\) 6.58340i 0.940486i
\(50\) −3.11141 + 3.11141i −0.440019 + 0.440019i
\(51\) −4.04673 + 3.23437i −0.566655 + 0.452903i
\(52\) −2.76560 2.31333i −0.383519 0.320801i
\(53\) 10.8935i 1.49634i 0.663507 + 0.748170i \(0.269067\pi\)
−0.663507 + 0.748170i \(0.730933\pi\)
\(54\) 3.40224 + 3.92744i 0.462986 + 0.534457i
\(55\) −0.427302 0.740109i −0.0576174 0.0997963i
\(56\) −0.645446 −0.0862514
\(57\) 0.267184 2.39477i 0.0353894 0.317195i
\(58\) 0.876997 + 0.234991i 0.115155 + 0.0308558i
\(59\) −9.75565 2.61402i −1.27008 0.340316i −0.440017 0.897989i \(-0.645028\pi\)
−0.830061 + 0.557673i \(0.811694\pi\)
\(60\) −1.22891 + 0.537764i −0.158652 + 0.0694250i
\(61\) 10.8544 1.38977 0.694884 0.719122i \(-0.255456\pi\)
0.694884 + 0.719122i \(0.255456\pi\)
\(62\) −2.78002 4.81514i −0.353063 0.611524i
\(63\) −0.0766175 1.93482i −0.00965290 0.243765i
\(64\) 1.00000i 0.125000i
\(65\) 1.60519 + 2.28492i 0.199100 + 0.283409i
\(66\) 0.286917 + 1.88960i 0.0353171 + 0.232594i
\(67\) 0.762137 0.762137i 0.0931098 0.0931098i −0.659018 0.752127i \(-0.729028\pi\)
0.752127 + 0.659018i \(0.229028\pi\)
\(68\) 2.99094i 0.362705i
\(69\) −8.54083 3.34130i −1.02820 0.402245i
\(70\) 0.482847 + 0.129378i 0.0577112 + 0.0154637i
\(71\) −1.68422 + 0.451285i −0.199880 + 0.0535576i −0.357370 0.933963i \(-0.616326\pi\)
0.157490 + 0.987521i \(0.449660\pi\)
\(72\) 2.99765 0.118705i 0.353277 0.0139895i
\(73\) −2.70493 2.70493i −0.316588 0.316588i 0.530867 0.847455i \(-0.321866\pi\)
−0.847455 + 0.530867i \(0.821866\pi\)
\(74\) 7.29864i 0.848450i
\(75\) −7.53499 + 1.14411i −0.870066 + 0.132111i
\(76\) −0.983725 0.983725i −0.112841 0.112841i
\(77\) 0.356115 0.616809i 0.0405830 0.0702919i
\(78\) −1.48144 6.06674i −0.167740 0.686923i
\(79\) 3.01910 + 5.22924i 0.339675 + 0.588335i 0.984372 0.176104i \(-0.0563494\pi\)
−0.644696 + 0.764439i \(0.723016\pi\)
\(80\) −0.200448 + 0.748082i −0.0224108 + 0.0836381i
\(81\) 0.711670 + 8.97182i 0.0790745 + 0.996869i
\(82\) 0.878964 + 0.507470i 0.0970653 + 0.0560407i
\(83\) −2.95813 + 11.0399i −0.324697 + 1.21179i 0.589919 + 0.807462i \(0.299160\pi\)
−0.914616 + 0.404323i \(0.867507\pi\)
\(84\) −0.900220 0.662879i −0.0982220 0.0723260i
\(85\) 0.599528 2.23747i 0.0650279 0.242688i
\(86\) 1.68008 + 6.27015i 0.181168 + 0.676128i
\(87\) 0.981831 + 1.22843i 0.105263 + 0.131702i
\(88\) 0.955631 + 0.551734i 0.101871 + 0.0588150i
\(89\) 12.0109 + 3.21832i 1.27316 + 0.341141i 0.831239 0.555915i \(-0.187632\pi\)
0.441916 + 0.897056i \(0.354299\pi\)
\(90\) −2.26628 0.512072i −0.238887 0.0539771i
\(91\) −0.980247 + 2.11067i −0.102758 + 0.221258i
\(92\) −4.58558 + 2.64748i −0.478079 + 0.276019i
\(93\) 1.06782 9.57090i 0.110728 0.992456i
\(94\) 3.10476 0.320231
\(95\) 0.538722 + 0.933093i 0.0552717 + 0.0957333i
\(96\) 1.02701 1.39472i 0.104819 0.142348i
\(97\) 9.31815 9.31815i 0.946114 0.946114i −0.0525063 0.998621i \(-0.516721\pi\)
0.998621 + 0.0525063i \(0.0167210\pi\)
\(98\) −1.70391 6.35908i −0.172121 0.642364i
\(99\) −1.54047 + 2.93014i −0.154823 + 0.294490i
\(100\) −2.20010 + 3.81068i −0.220010 + 0.381068i
\(101\) 5.86656 10.1612i 0.583745 1.01108i −0.411286 0.911506i \(-0.634920\pi\)
0.995031 0.0995694i \(-0.0317465\pi\)
\(102\) −3.07172 + 4.17154i −0.304146 + 0.413044i
\(103\) 4.05306 + 2.34003i 0.399360 + 0.230570i 0.686208 0.727406i \(-0.259274\pi\)
−0.286848 + 0.957976i \(0.592607\pi\)
\(104\) −3.27009 1.51871i −0.320659 0.148922i
\(105\) 0.540565 + 0.676335i 0.0527538 + 0.0660035i
\(106\) 2.81945 + 10.5223i 0.273849 + 1.02202i
\(107\) −2.78643 + 1.60874i −0.269374 + 0.155523i −0.628603 0.777726i \(-0.716373\pi\)
0.359229 + 0.933249i \(0.383040\pi\)
\(108\) 4.30281 + 2.91305i 0.414038 + 0.280308i
\(109\) −3.63346 + 3.63346i −0.348023 + 0.348023i −0.859373 0.511350i \(-0.829146\pi\)
0.511350 + 0.859373i \(0.329146\pi\)
\(110\) −0.604297 0.604297i −0.0576174 0.0576174i
\(111\) 7.49576 10.1796i 0.711466 0.966204i
\(112\) −0.623453 + 0.167054i −0.0589108 + 0.0157851i
\(113\) 9.36902 5.40921i 0.881363 0.508855i 0.0102556 0.999947i \(-0.496735\pi\)
0.871108 + 0.491092i \(0.163402\pi\)
\(114\) −0.361731 2.38232i −0.0338792 0.223125i
\(115\) 3.96107 1.06137i 0.369372 0.0989729i
\(116\) 0.907934 0.0842996
\(117\) 4.16439 9.98288i 0.384998 0.922917i
\(118\) −10.0998 −0.929761
\(119\) 1.86471 0.499648i 0.170938 0.0458027i
\(120\) −1.04786 + 0.837506i −0.0956557 + 0.0764535i
\(121\) 8.47177 4.89118i 0.770161 0.444653i
\(122\) 10.4846 2.80934i 0.949229 0.254345i
\(123\) 0.704736 + 1.61048i 0.0635439 + 0.145212i
\(124\) −3.93155 3.93155i −0.353063 0.353063i
\(125\) 5.14787 5.14787i 0.460439 0.460439i
\(126\) −0.574776 1.84907i −0.0512051 0.164728i
\(127\) −5.39157 + 3.11283i −0.478425 + 0.276219i −0.719760 0.694223i \(-0.755748\pi\)
0.241335 + 0.970442i \(0.422415\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −4.09625 + 10.4706i −0.360654 + 0.921884i
\(130\) 2.14188 + 1.79160i 0.187855 + 0.157134i
\(131\) 4.68122 + 2.70270i 0.409000 + 0.236136i 0.690360 0.723466i \(-0.257452\pi\)
−0.281360 + 0.959602i \(0.590785\pi\)
\(132\) 0.766207 + 1.75096i 0.0666897 + 0.152401i
\(133\) −0.448972 + 0.777642i −0.0389308 + 0.0674301i
\(134\) 0.538912 0.933423i 0.0465549 0.0806355i
\(135\) −2.63494 3.04169i −0.226779 0.261787i
\(136\) 0.774112 + 2.88903i 0.0663796 + 0.247732i
\(137\) 5.01444 5.01444i 0.428413 0.428413i −0.459675 0.888087i \(-0.652034\pi\)
0.888087 + 0.459675i \(0.152034\pi\)
\(138\) −9.11460 1.01692i −0.775886 0.0865656i
\(139\) 10.3141 + 17.8645i 0.874828 + 1.51525i 0.856945 + 0.515407i \(0.172359\pi\)
0.0178829 + 0.999840i \(0.494307\pi\)
\(140\) 0.499880 0.0422476
\(141\) 4.33028 + 3.18861i 0.364675 + 0.268529i
\(142\) −1.51003 + 0.871815i −0.126719 + 0.0731611i
\(143\) 3.25555 2.28708i 0.272243 0.191255i
\(144\) 2.86479 0.890509i 0.238732 0.0742091i
\(145\) −0.679209 0.181994i −0.0564053 0.0151137i
\(146\) −3.31285 1.91267i −0.274173 0.158294i
\(147\) 4.15434 10.6191i 0.342644 0.875847i
\(148\) −1.88903 7.04995i −0.155277 0.579502i
\(149\) 4.22688 15.7749i 0.346280 1.29233i −0.544831 0.838546i \(-0.683406\pi\)
0.891110 0.453787i \(-0.149927\pi\)
\(150\) −6.98213 + 3.05533i −0.570088 + 0.249467i
\(151\) −4.19291 + 15.6482i −0.341214 + 1.27343i 0.555759 + 0.831344i \(0.312428\pi\)
−0.896973 + 0.442086i \(0.854239\pi\)
\(152\) −1.20481 0.695599i −0.0977232 0.0564205i
\(153\) −8.56840 + 2.66346i −0.692714 + 0.215328i
\(154\) 0.184339 0.687961i 0.0148544 0.0554375i
\(155\) 2.15305 + 3.72919i 0.172937 + 0.299536i
\(156\) −3.00115 5.47660i −0.240284 0.438479i
\(157\) 7.67271 13.2895i 0.612349 1.06062i −0.378494 0.925604i \(-0.623558\pi\)
0.990843 0.135016i \(-0.0431087\pi\)
\(158\) 4.26965 + 4.26965i 0.339675 + 0.339675i
\(159\) −6.87416 + 17.5713i −0.545157 + 1.39350i
\(160\) 0.774471i 0.0612273i
\(161\) 2.41662 + 2.41662i 0.190456 + 0.190456i
\(162\) 3.00950 + 8.48192i 0.236449 + 0.666402i
\(163\) −19.4221 + 5.20413i −1.52125 + 0.407619i −0.920155 0.391555i \(-0.871937\pi\)
−0.601100 + 0.799174i \(0.705271\pi\)
\(164\) 0.980356 + 0.262686i 0.0765530 + 0.0205123i
\(165\) −0.222209 1.46344i −0.0172990 0.113929i
\(166\) 11.4293i 0.887089i
\(167\) 6.90323 6.90323i 0.534188 0.534188i −0.387628 0.921816i \(-0.626705\pi\)
0.921816 + 0.387628i \(0.126705\pi\)
\(168\) −1.04111 0.407298i −0.0803234 0.0314237i
\(169\) −9.93266 + 8.38703i −0.764051 + 0.645156i
\(170\) 2.31640i 0.177660i
\(171\) 1.94215 3.69418i 0.148520 0.282501i
\(172\) 3.24567 + 5.62166i 0.247480 + 0.428648i
\(173\) −7.16824 −0.544991 −0.272495 0.962157i \(-0.587849\pi\)
−0.272495 + 0.962157i \(0.587849\pi\)
\(174\) 1.26632 + 0.932456i 0.0959993 + 0.0706893i
\(175\) 2.74332 + 0.735069i 0.207375 + 0.0555660i
\(176\) 1.06587 + 0.285599i 0.0803428 + 0.0215278i
\(177\) −14.0864 10.3726i −1.05880 0.779650i
\(178\) 12.4346 0.932014
\(179\) −5.59035 9.68278i −0.417843 0.723725i 0.577879 0.816122i \(-0.303880\pi\)
−0.995722 + 0.0923973i \(0.970547\pi\)
\(180\) −2.32159 + 0.0919334i −0.173041 + 0.00685231i
\(181\) 8.76194i 0.651270i 0.945496 + 0.325635i \(0.105578\pi\)
−0.945496 + 0.325635i \(0.894422\pi\)
\(182\) −0.400564 + 2.29246i −0.0296918 + 0.169928i
\(183\) 17.5083 + 6.84950i 1.29425 + 0.506330i
\(184\) −3.74411 + 3.74411i −0.276019 + 0.276019i
\(185\) 5.65259i 0.415587i
\(186\) −1.44569 9.52115i −0.106003 0.698125i
\(187\) −3.18795 0.854208i −0.233126 0.0624659i
\(188\) 2.99897 0.803570i 0.218722 0.0586064i
\(189\) 1.09735 3.16923i 0.0798206 0.230528i
\(190\) 0.761867 + 0.761867i 0.0552717 + 0.0552717i
\(191\) 24.3114i 1.75911i −0.475798 0.879555i \(-0.657841\pi\)
0.475798 0.879555i \(-0.342159\pi\)
\(192\) 0.631032 1.61301i 0.0455408 0.116409i
\(193\) 6.98571 + 6.98571i 0.502842 + 0.502842i 0.912320 0.409478i \(-0.134289\pi\)
−0.409478 + 0.912320i \(0.634289\pi\)
\(194\) 6.58892 11.4124i 0.473057 0.819359i
\(195\) 1.14733 + 4.69852i 0.0821622 + 0.336468i
\(196\) −3.29170 5.70139i −0.235121 0.407242i
\(197\) −7.01655 + 26.1861i −0.499908 + 1.86568i 0.000684309 1.00000i \(0.499782\pi\)
−0.500593 + 0.865683i \(0.666884\pi\)
\(198\) −0.729601 + 3.22900i −0.0518505 + 0.229475i
\(199\) 5.45399 + 3.14886i 0.386623 + 0.223217i 0.680696 0.732566i \(-0.261677\pi\)
−0.294073 + 0.955783i \(0.595011\pi\)
\(200\) −1.13885 + 4.25026i −0.0805291 + 0.300539i
\(201\) 1.71027 0.748400i 0.120633 0.0527881i
\(202\) 3.03676 11.3333i 0.213665 0.797410i
\(203\) −0.151674 0.566055i −0.0106454 0.0397292i
\(204\) −1.88738 + 4.82441i −0.132143 + 0.337777i
\(205\) −0.680732 0.393021i −0.0475444 0.0274498i
\(206\) 4.52060 + 1.21129i 0.314965 + 0.0843946i
\(207\) −11.6680 10.7791i −0.810980 0.749198i
\(208\) −3.55174 0.620600i −0.246269 0.0430309i
\(209\) 1.32947 0.767571i 0.0919615 0.0530940i
\(210\) 0.697194 + 0.513381i 0.0481110 + 0.0354266i
\(211\) −21.9038 −1.50792 −0.753960 0.656921i \(-0.771859\pi\)
−0.753960 + 0.656921i \(0.771859\pi\)
\(212\) 5.44676 + 9.43406i 0.374085 + 0.647934i
\(213\) −3.00143 0.334870i −0.205655 0.0229449i
\(214\) −2.27511 + 2.27511i −0.155523 + 0.155523i
\(215\) −1.30118 4.85605i −0.0887394 0.331180i
\(216\) 4.91014 + 1.70014i 0.334093 + 0.115680i
\(217\) −1.79436 + 3.10792i −0.121809 + 0.210979i
\(218\) −2.56925 + 4.45007i −0.174011 + 0.301396i
\(219\) −2.65618 6.06997i −0.179488 0.410171i
\(220\) −0.740109 0.427302i −0.0498982 0.0288087i
\(221\) 10.6230 + 1.85618i 0.714583 + 0.124860i
\(222\) 4.60568 11.7728i 0.309113 0.790137i
\(223\) −1.22894 4.58647i −0.0822959 0.307132i 0.912493 0.409093i \(-0.134155\pi\)
−0.994788 + 0.101961i \(0.967488\pi\)
\(224\) −0.558973 + 0.322723i −0.0373480 + 0.0215629i
\(225\) −12.8760 2.90936i −0.858399 0.193957i
\(226\) 7.64977 7.64977i 0.508855 0.508855i
\(227\) −6.54115 6.54115i −0.434151 0.434151i 0.455887 0.890038i \(-0.349322\pi\)
−0.890038 + 0.455887i \(0.849322\pi\)
\(228\) −0.965995 2.20752i −0.0639746 0.146197i
\(229\) −18.4626 + 4.94704i −1.22004 + 0.326910i −0.810695 0.585469i \(-0.800911\pi\)
−0.409348 + 0.912378i \(0.634244\pi\)
\(230\) 3.55140 2.05040i 0.234172 0.135199i
\(231\) 0.963643 0.770198i 0.0634030 0.0506753i
\(232\) 0.876997 0.234991i 0.0575777 0.0154279i
\(233\) −23.5311 −1.54157 −0.770786 0.637094i \(-0.780136\pi\)
−0.770786 + 0.637094i \(0.780136\pi\)
\(234\) 1.43873 10.7205i 0.0940530 0.700824i
\(235\) −2.40455 −0.156855
\(236\) −9.75565 + 2.61402i −0.635039 + 0.170158i
\(237\) 1.57002 + 10.3400i 0.101984 + 0.671652i
\(238\) 1.67185 0.965246i 0.108370 0.0625676i
\(239\) −22.8065 + 6.11098i −1.47523 + 0.395287i −0.904721 0.426005i \(-0.859921\pi\)
−0.570509 + 0.821291i \(0.693254\pi\)
\(240\) −0.795388 + 1.08017i −0.0513421 + 0.0697249i
\(241\) −7.79438 7.79438i −0.502080 0.502080i 0.410004 0.912084i \(-0.365527\pi\)
−0.912084 + 0.410004i \(0.865527\pi\)
\(242\) 6.91717 6.91717i 0.444653 0.444653i
\(243\) −4.51358 + 14.9207i −0.289546 + 0.957164i
\(244\) 9.40022 5.42722i 0.601787 0.347442i
\(245\) 1.31963 + 4.92492i 0.0843080 + 0.314642i
\(246\) 1.09755 + 1.37321i 0.0699770 + 0.0875525i
\(247\) −4.10444 + 2.88344i −0.261159 + 0.183469i
\(248\) −4.81514 2.78002i −0.305762 0.176532i
\(249\) −11.7380 + 15.9408i −0.743867 + 1.01021i
\(250\) 3.64009 6.30482i 0.230220 0.398752i
\(251\) 4.48555 7.76920i 0.283125 0.490387i −0.689027 0.724735i \(-0.741962\pi\)
0.972153 + 0.234348i \(0.0752954\pi\)
\(252\) −1.03376 1.63730i −0.0651210 0.103140i
\(253\) −1.51224 5.64374i −0.0950734 0.354819i
\(254\) −4.40220 + 4.40220i −0.276219 + 0.276219i
\(255\) 2.37896 3.23074i 0.148976 0.202317i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 14.0952 0.879235 0.439617 0.898185i \(-0.355114\pi\)
0.439617 + 0.898185i \(0.355114\pi\)
\(258\) −1.24668 + 11.1740i −0.0776150 + 0.695663i
\(259\) −4.07974 + 2.35544i −0.253503 + 0.146360i
\(260\) 2.53259 + 1.17620i 0.157065 + 0.0729448i
\(261\) 0.808524 + 2.60104i 0.0500464 + 0.161000i
\(262\) 5.22122 + 1.39902i 0.322568 + 0.0864319i
\(263\) −16.6786 9.62939i −1.02845 0.593774i −0.111907 0.993719i \(-0.535696\pi\)
−0.916539 + 0.399945i \(0.869029\pi\)
\(264\) 1.19328 + 1.49299i 0.0734413 + 0.0918870i
\(265\) −2.18358 8.14924i −0.134136 0.500604i
\(266\) −0.232405 + 0.867347i −0.0142497 + 0.0531805i
\(267\) 17.3429 + 12.7705i 1.06137 + 0.781539i
\(268\) 0.278961 1.04110i 0.0170403 0.0635952i
\(269\) −20.4816 11.8251i −1.24879 0.720987i −0.277918 0.960605i \(-0.589644\pi\)
−0.970867 + 0.239618i \(0.922978\pi\)
\(270\) −3.33240 2.25607i −0.202803 0.137300i
\(271\) 6.89336 25.7264i 0.418742 1.56276i −0.358480 0.933537i \(-0.616705\pi\)
0.777221 0.629227i \(-0.216629\pi\)
\(272\) 1.49547 + 2.59023i 0.0906762 + 0.157056i
\(273\) −2.91305 + 2.78596i −0.176306 + 0.168614i
\(274\) 3.54575 6.14141i 0.214206 0.371016i
\(275\) −3.43334 3.43334i −0.207038 0.207038i
\(276\) −9.06723 + 1.37677i −0.545783 + 0.0828717i
\(277\) 10.9761i 0.659493i 0.944070 + 0.329746i \(0.106963\pi\)
−0.944070 + 0.329746i \(0.893037\pi\)
\(278\) 14.5863 + 14.5863i 0.874828 + 0.874828i
\(279\) 7.76196 14.7641i 0.464696 0.883905i
\(280\) 0.482847 0.129378i 0.0288556 0.00773184i
\(281\) 30.2719 + 8.11132i 1.80587 + 0.483881i 0.994869 0.101167i \(-0.0322576\pi\)
0.810999 + 0.585048i \(0.198924\pi\)
\(282\) 5.00800 + 1.95920i 0.298222 + 0.116669i
\(283\) 24.7434i 1.47084i 0.677611 + 0.735420i \(0.263015\pi\)
−0.677611 + 0.735420i \(0.736985\pi\)
\(284\) −1.23293 + 1.23293i −0.0731611 + 0.0731611i
\(285\) 0.280151 + 1.84504i 0.0165947 + 0.109291i
\(286\) 2.55268 3.05175i 0.150943 0.180454i
\(287\) 0.655089i 0.0386687i
\(288\) 2.53669 1.60163i 0.149476 0.0943768i
\(289\) 4.02714 + 6.97521i 0.236890 + 0.410306i
\(290\) −0.703169 −0.0412915
\(291\) 20.9103 9.15020i 1.22578 0.536394i
\(292\) −3.69500 0.990073i −0.216234 0.0579396i
\(293\) −21.5007 5.76109i −1.25608 0.336566i −0.431399 0.902161i \(-0.641980\pi\)
−0.824683 + 0.565595i \(0.808647\pi\)
\(294\) 1.26436 11.3325i 0.0737391 0.660923i
\(295\) 7.82200 0.455415
\(296\) −3.64932 6.32081i −0.212112 0.367390i
\(297\) −4.33380 + 3.75426i −0.251473 + 0.217844i
\(298\) 16.3314i 0.946053i
\(299\) 6.55736 + 17.9298i 0.379222 + 1.03691i
\(300\) −5.95344 + 4.75833i −0.343722 + 0.274722i
\(301\) 2.96264 2.96264i 0.170764 0.170764i
\(302\) 16.2002i 0.932215i
\(303\) 15.8749 12.6881i 0.911987 0.728912i
\(304\) −1.34379 0.360069i −0.0770719 0.0206513i
\(305\) −8.12001 + 2.17575i −0.464950 + 0.124583i
\(306\) −7.58709 + 4.79037i −0.433725 + 0.273847i
\(307\) 4.37539 + 4.37539i 0.249716 + 0.249716i 0.820854 0.571138i \(-0.193498\pi\)
−0.571138 + 0.820854i \(0.693498\pi\)
\(308\) 0.712230i 0.0405830i
\(309\) 5.06098 + 6.33211i 0.287909 + 0.360221i
\(310\) 3.04487 + 3.04487i 0.172937 + 0.172937i
\(311\) −6.01736 + 10.4224i −0.341213 + 0.590999i −0.984658 0.174494i \(-0.944171\pi\)
0.643445 + 0.765492i \(0.277505\pi\)
\(312\) −4.31633 4.51323i −0.244364 0.255511i
\(313\) −12.1822 21.1002i −0.688578 1.19265i −0.972298 0.233745i \(-0.924902\pi\)
0.283719 0.958907i \(-0.408432\pi\)
\(314\) 3.97169 14.8225i 0.224135 0.836485i
\(315\) 0.445148 + 1.43205i 0.0250812 + 0.0806868i
\(316\) 5.22924 + 3.01910i 0.294168 + 0.169838i
\(317\) −4.54488 + 16.9617i −0.255266 + 0.952665i 0.712677 + 0.701493i \(0.247483\pi\)
−0.967942 + 0.251172i \(0.919184\pi\)
\(318\) −2.09213 + 18.7518i −0.117321 + 1.05155i
\(319\) −0.259305 + 0.967738i −0.0145183 + 0.0541829i
\(320\) 0.200448 + 0.748082i 0.0112054 + 0.0418191i
\(321\) −5.50970 + 0.836593i −0.307521 + 0.0466941i
\(322\) 2.95974 + 1.70881i 0.164940 + 0.0952282i
\(323\) 4.01921 + 1.07694i 0.223635 + 0.0599227i
\(324\) 5.10223 + 7.41399i 0.283457 + 0.411888i
\(325\) 12.1692 + 10.1791i 0.675024 + 0.564634i
\(326\) −17.4134 + 10.0536i −0.964437 + 0.556818i
\(327\) −8.15364 + 3.56798i −0.450897 + 0.197309i
\(328\) 1.01494 0.0560407
\(329\) −1.00198 1.73548i −0.0552408 0.0956799i
\(330\) −0.593405 1.35607i −0.0326659 0.0746490i
\(331\) 22.0364 22.0364i 1.21123 1.21123i 0.240607 0.970623i \(-0.422653\pi\)
0.970623 0.240607i \(-0.0773465\pi\)
\(332\) 2.95813 + 11.0399i 0.162348 + 0.605893i
\(333\) 18.5144 11.6897i 1.01458 0.640592i
\(334\) 4.88132 8.45470i 0.267094 0.462620i
\(335\) −0.417372 + 0.722910i −0.0228035 + 0.0394968i
\(336\) −1.11105 0.123960i −0.0606129 0.00676257i
\(337\) 2.67699 + 1.54556i 0.145825 + 0.0841921i 0.571137 0.820855i \(-0.306502\pi\)
−0.425312 + 0.905047i \(0.639836\pi\)
\(338\) −7.42349 + 10.6720i −0.403785 + 0.580481i
\(339\) 18.5257 2.81294i 1.00618 0.152778i
\(340\) −0.599528 2.23747i −0.0325140 0.121344i
\(341\) 5.31336 3.06767i 0.287734 0.166123i
\(342\) 0.919845 4.07097i 0.0497395 0.220133i
\(343\) −6.19946 + 6.19946i −0.334739 + 0.334739i
\(344\) 4.59007 + 4.59007i 0.247480 + 0.247480i
\(345\) 7.05900 + 0.787572i 0.380044 + 0.0424014i
\(346\) −6.92398 + 1.85528i −0.372236 + 0.0997403i
\(347\) −16.8787 + 9.74492i −0.906096 + 0.523135i −0.879173 0.476503i \(-0.841904\pi\)
−0.0269231 + 0.999638i \(0.508571\pi\)
\(348\) 1.46451 + 0.572936i 0.0785058 + 0.0307126i
\(349\) −21.1940 + 5.67891i −1.13449 + 0.303985i −0.776733 0.629830i \(-0.783125\pi\)
−0.357755 + 0.933815i \(0.616458\pi\)
\(350\) 2.84009 0.151809
\(351\) 13.0167 13.4746i 0.694781 0.719221i
\(352\) 1.10347 0.0588150
\(353\) 9.47129 2.53782i 0.504106 0.135075i 0.00220088 0.999998i \(-0.499299\pi\)
0.501905 + 0.864923i \(0.332633\pi\)
\(354\) −16.2911 6.37330i −0.865860 0.338737i
\(355\) 1.16947 0.675196i 0.0620692 0.0358357i
\(356\) 12.0109 3.21832i 0.636578 0.170570i
\(357\) 3.32309 + 0.370757i 0.175877 + 0.0196225i
\(358\) −7.90596 7.90596i −0.417843 0.417843i
\(359\) 21.8739 21.8739i 1.15446 1.15446i 0.168810 0.985649i \(-0.446008\pi\)
0.985649 0.168810i \(-0.0539923\pi\)
\(360\) −2.21869 + 0.689674i −0.116935 + 0.0363490i
\(361\) 14.7783 8.53228i 0.777808 0.449068i
\(362\) 2.26776 + 8.46338i 0.119191 + 0.444826i
\(363\) 16.7515 2.54355i 0.879228 0.133502i
\(364\) 0.206416 + 2.31802i 0.0108192 + 0.121497i
\(365\) 2.56571 + 1.48131i 0.134295 + 0.0775354i
\(366\) 18.6845 + 2.08463i 0.976655 + 0.108965i
\(367\) 10.9588 18.9812i 0.572045 0.990811i −0.424311 0.905516i \(-0.639484\pi\)
0.996356 0.0852940i \(-0.0271830\pi\)
\(368\) −2.64748 + 4.58558i −0.138010 + 0.239040i
\(369\) 0.120478 + 3.04243i 0.00627184 + 0.158383i
\(370\) 1.46300 + 5.45998i 0.0760576 + 0.283851i
\(371\) 4.97180 4.97180i 0.258123 0.258123i
\(372\) −3.86069 8.82255i −0.200167 0.457428i
\(373\) −0.731744 1.26742i −0.0378883 0.0656244i 0.846459 0.532453i \(-0.178730\pi\)
−0.884348 + 0.466829i \(0.845396\pi\)
\(374\) −3.30041 −0.170660
\(375\) 11.5520 5.05508i 0.596544 0.261043i
\(376\) 2.68880 1.55238i 0.138664 0.0800578i
\(377\) 0.563464 3.22475i 0.0290199 0.166083i
\(378\) 0.239702 3.34526i 0.0123289 0.172062i
\(379\) 16.3714 + 4.38670i 0.840942 + 0.225330i 0.653481 0.756943i \(-0.273308\pi\)
0.187460 + 0.982272i \(0.439974\pi\)
\(380\) 0.933093 + 0.538722i 0.0478667 + 0.0276358i
\(381\) −10.6609 + 1.61876i −0.546177 + 0.0829315i
\(382\) −6.29225 23.4830i −0.321939 1.20149i
\(383\) −2.34343 + 8.74581i −0.119744 + 0.446890i −0.999598 0.0283538i \(-0.990974\pi\)
0.879854 + 0.475244i \(0.157640\pi\)
\(384\) 0.192053 1.72137i 0.00980067 0.0878433i
\(385\) −0.142765 + 0.532806i −0.00727598 + 0.0271543i
\(386\) 8.55571 + 4.93964i 0.435474 + 0.251421i
\(387\) −13.2146 + 14.3043i −0.671734 + 0.727128i
\(388\) 3.41068 12.7288i 0.173151 0.646208i
\(389\) 10.8255 + 18.7504i 0.548876 + 0.950681i 0.998352 + 0.0573883i \(0.0182773\pi\)
−0.449476 + 0.893292i \(0.648389\pi\)
\(390\) 2.32430 + 4.24147i 0.117696 + 0.214775i
\(391\) 7.91847 13.7152i 0.400454 0.693607i
\(392\) −4.65517 4.65517i −0.235121 0.235121i
\(393\) 5.84536 + 7.31349i 0.294859 + 0.368917i
\(394\) 27.1099i 1.36577i
\(395\) −3.30673 3.30673i −0.166379 0.166379i
\(396\) 0.130987 + 3.30781i 0.00658234 + 0.166224i
\(397\) 11.6065 3.10995i 0.582514 0.156084i 0.0444843 0.999010i \(-0.485836\pi\)
0.538030 + 0.842926i \(0.319169\pi\)
\(398\) 6.08314 + 1.62997i 0.304920 + 0.0817031i
\(399\) −1.21491 + 0.971028i −0.0608217 + 0.0486122i
\(400\) 4.40019i 0.220010i
\(401\) −11.2322 + 11.2322i −0.560911 + 0.560911i −0.929566 0.368655i \(-0.879818\pi\)
0.368655 + 0.929566i \(0.379818\pi\)
\(402\) 1.45829 1.16555i 0.0727329 0.0581323i
\(403\) −16.4038 + 11.5239i −0.817129 + 0.574047i
\(404\) 11.7331i 0.583745i
\(405\) −2.33077 6.56900i −0.115817 0.326416i
\(406\) −0.293011 0.507511i −0.0145419 0.0251873i
\(407\) 8.05382 0.399213
\(408\) −0.574419 + 5.14852i −0.0284380 + 0.254890i
\(409\) 17.7677 + 4.76083i 0.878554 + 0.235408i 0.669783 0.742557i \(-0.266387\pi\)
0.208771 + 0.977965i \(0.433054\pi\)
\(410\) −0.759258 0.203443i −0.0374971 0.0100473i
\(411\) 11.2526 4.92406i 0.555050 0.242886i
\(412\) 4.68007 0.230570
\(413\) 3.25944 + 5.64551i 0.160386 + 0.277797i
\(414\) −14.0602 7.39190i −0.691022 0.363292i
\(415\) 8.85170i 0.434513i
\(416\) −3.59134 + 0.319804i −0.176080 + 0.0156797i
\(417\) 5.36361 + 35.3241i 0.262657 + 1.72983i
\(418\) 1.08551 1.08551i 0.0530940 0.0530940i
\(419\) 29.1614i 1.42463i −0.701861 0.712314i \(-0.747647\pi\)
0.701861 0.712314i \(-0.252353\pi\)
\(420\) 0.806311 + 0.315440i 0.0393439 + 0.0153919i
\(421\) −0.816008 0.218649i −0.0397698 0.0106563i 0.238879 0.971049i \(-0.423220\pi\)
−0.278649 + 0.960393i \(0.589887\pi\)
\(422\) −21.1574 + 5.66912i −1.02993 + 0.275968i
\(423\) 4.97266 + 7.87581i 0.241779 + 0.382935i
\(424\) 7.70288 + 7.70288i 0.374085 + 0.374085i
\(425\) 13.1607i 0.638389i
\(426\) −2.98583 + 0.453369i −0.144664 + 0.0219658i
\(427\) −4.95396 4.95396i −0.239739 0.239739i
\(428\) −1.60874 + 2.78643i −0.0777616 + 0.134687i
\(429\) 6.69445 1.63472i 0.323211 0.0789251i
\(430\) −2.51368 4.35382i −0.121220 0.209960i
\(431\) −2.61175 + 9.74717i −0.125803 + 0.469505i −0.999867 0.0163068i \(-0.994809\pi\)
0.874064 + 0.485811i \(0.161476\pi\)
\(432\) 5.18286 + 0.371373i 0.249361 + 0.0178677i
\(433\) −19.4083 11.2054i −0.932703 0.538496i −0.0450375 0.998985i \(-0.514341\pi\)
−0.887665 + 0.460489i \(0.847674\pi\)
\(434\) −0.928827 + 3.46643i −0.0445851 + 0.166394i
\(435\) −0.980727 0.722160i −0.0470222 0.0346249i
\(436\) −1.32994 + 4.96340i −0.0636926 + 0.237704i
\(437\) 1.90655 + 7.11535i 0.0912027 + 0.340373i
\(438\) −4.13670 5.17568i −0.197659 0.247303i
\(439\) 5.84221 + 3.37300i 0.278834 + 0.160985i 0.632895 0.774237i \(-0.281866\pi\)
−0.354062 + 0.935222i \(0.615200\pi\)
\(440\) −0.825485 0.221188i −0.0393534 0.0105447i
\(441\) 13.4020 14.5072i 0.638189 0.690817i
\(442\) 10.7415 0.956514i 0.510920 0.0454968i
\(443\) −33.6394 + 19.4217i −1.59825 + 0.922753i −0.606431 + 0.795136i \(0.707400\pi\)
−0.991824 + 0.127617i \(0.959267\pi\)
\(444\) 1.40173 12.5637i 0.0665230 0.596245i
\(445\) −9.63026 −0.456518
\(446\) −2.37413 4.11211i −0.112418 0.194714i
\(447\) 16.7725 22.7778i 0.793312 1.07735i
\(448\) −0.456400 + 0.456400i −0.0215629 + 0.0215629i
\(449\) 3.83851 + 14.3255i 0.181151 + 0.676063i 0.995422 + 0.0955787i \(0.0304702\pi\)
−0.814271 + 0.580485i \(0.802863\pi\)
\(450\) −13.1902 + 0.522324i −0.621794 + 0.0246226i
\(451\) −0.559977 + 0.969908i −0.0263683 + 0.0456712i
\(452\) 5.40921 9.36902i 0.254428 0.440682i
\(453\) −16.6377 + 22.5948i −0.781707 + 1.06159i
\(454\) −8.01124 4.62529i −0.375986 0.217076i
\(455\) 0.310226 1.77544i 0.0145436 0.0832341i
\(456\) −1.50443 1.88228i −0.0704513 0.0881460i
\(457\) −9.22269 34.4195i −0.431419 1.61008i −0.749493 0.662012i \(-0.769703\pi\)
0.318074 0.948066i \(-0.396964\pi\)
\(458\) −16.5531 + 9.55695i −0.773477 + 0.446567i
\(459\) −15.5016 1.11076i −0.723554 0.0518456i
\(460\) 2.89970 2.89970i 0.135199 0.135199i
\(461\) −8.01748 8.01748i −0.373411 0.373411i 0.495307 0.868718i \(-0.335056\pi\)
−0.868718 + 0.495307i \(0.835056\pi\)
\(462\) 0.731465 0.993363i 0.0340309 0.0462155i
\(463\) −37.3633 + 10.0115i −1.73642 + 0.465273i −0.981646 0.190711i \(-0.938921\pi\)
−0.754775 + 0.655984i \(0.772254\pi\)
\(464\) 0.786294 0.453967i 0.0365028 0.0210749i
\(465\) 1.11965 + 7.37386i 0.0519224 + 0.341955i
\(466\) −22.7293 + 6.09029i −1.05291 + 0.282127i
\(467\) 1.10308 0.0510444 0.0255222 0.999674i \(-0.491875\pi\)
0.0255222 + 0.999674i \(0.491875\pi\)
\(468\) −1.38497 10.7276i −0.0640202 0.495884i
\(469\) −0.695678 −0.0321234
\(470\) −2.32261 + 0.622342i −0.107134 + 0.0287065i
\(471\) 20.7623 16.5944i 0.956675 0.764630i
\(472\) −8.74668 + 5.04990i −0.402598 + 0.232440i
\(473\) −6.91891 + 1.85392i −0.318132 + 0.0852432i
\(474\) 4.19270 + 9.58128i 0.192577 + 0.440083i
\(475\) 4.32858 + 4.32858i 0.198609 + 0.198609i
\(476\) 1.36506 1.36506i 0.0625676 0.0625676i
\(477\) −22.1762 + 24.0049i −1.01538 + 1.09911i
\(478\) −20.4478 + 11.8055i −0.935258 + 0.539972i
\(479\) −9.02947 33.6984i −0.412567 1.53972i −0.789660 0.613545i \(-0.789743\pi\)
0.377093 0.926176i \(-0.376924\pi\)
\(480\) −0.488717 + 1.24923i −0.0223068 + 0.0570193i
\(481\) −26.2119 + 2.33413i −1.19516 + 0.106427i
\(482\) −9.54613 5.51146i −0.434814 0.251040i
\(483\) 2.37307 + 5.42300i 0.107978 + 0.246755i
\(484\) 4.89118 8.47177i 0.222326 0.385080i
\(485\) −5.10293 + 8.83854i −0.231712 + 0.401337i
\(486\) −0.498018 + 15.5805i −0.0225905 + 0.706746i
\(487\) 2.86697 + 10.6997i 0.129915 + 0.484849i 0.999967 0.00811050i \(-0.00258168\pi\)
−0.870052 + 0.492960i \(0.835915\pi\)
\(488\) 7.67525 7.67525i 0.347442 0.347442i
\(489\) −34.6120 3.86165i −1.56521 0.174630i
\(490\) 2.54933 + 4.41556i 0.115167 + 0.199475i
\(491\) 20.5551 0.927639 0.463820 0.885930i \(-0.346479\pi\)
0.463820 + 0.885930i \(0.346479\pi\)
\(492\) 1.41556 + 1.04235i 0.0638184 + 0.0469928i
\(493\) −2.35176 + 1.35779i −0.105918 + 0.0611517i
\(494\) −3.21829 + 3.84749i −0.144798 + 0.173107i
\(495\) 0.565055 2.50077i 0.0253973 0.112401i
\(496\) −5.37059 1.43905i −0.241147 0.0646151i
\(497\) 0.974642 + 0.562710i 0.0437187 + 0.0252410i
\(498\) −7.21228 + 18.4356i −0.323190 + 0.826120i
\(499\) 2.82433 + 10.5406i 0.126434 + 0.471860i 0.999887 0.0150499i \(-0.00479072\pi\)
−0.873452 + 0.486910i \(0.838124\pi\)
\(500\) 1.88425 7.03212i 0.0842662 0.314486i
\(501\) 15.4911 6.77881i 0.692093 0.302855i
\(502\) 2.32189 8.66542i 0.103631 0.386756i
\(503\) −15.4715 8.93246i −0.689839 0.398279i 0.113713 0.993514i \(-0.463726\pi\)
−0.803552 + 0.595235i \(0.797059\pi\)
\(504\) −1.42230 1.31395i −0.0633544 0.0585280i
\(505\) −2.35188 + 8.77734i −0.104657 + 0.390587i
\(506\) −2.92141 5.06004i −0.129873 0.224946i
\(507\) −21.3140 + 7.26052i −0.946586 + 0.322451i
\(508\) −3.11283 + 5.39157i −0.138109 + 0.239212i
\(509\) −18.7620 18.7620i −0.831610 0.831610i 0.156127 0.987737i \(-0.450099\pi\)
−0.987737 + 0.156127i \(0.950099\pi\)
\(510\) 1.46172 3.73637i 0.0647262 0.165449i
\(511\) 2.46906i 0.109225i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) 5.46385 4.73319i 0.241235 0.208975i
\(514\) 13.6149 3.64811i 0.600528 0.160911i
\(515\) −3.50107 0.938110i −0.154276 0.0413381i
\(516\) 1.68784 + 11.1159i 0.0743031 + 0.489351i
\(517\) 3.42600i 0.150675i
\(518\) −3.33110 + 3.33110i −0.146360 + 0.146360i
\(519\) −11.5624 4.52339i −0.507534 0.198555i
\(520\) 2.75072 + 0.480637i 0.120627 + 0.0210773i
\(521\) 19.1202i 0.837669i 0.908063 + 0.418835i \(0.137561\pi\)
−0.908063 + 0.418835i \(0.862439\pi\)
\(522\) 1.45417 + 2.30315i 0.0636474 + 0.100806i
\(523\) 0.547702 + 0.948647i 0.0239493 + 0.0414815i 0.877752 0.479116i \(-0.159043\pi\)
−0.853802 + 0.520597i \(0.825709\pi\)
\(524\) 5.40541 0.236136
\(525\) 3.96114 + 2.91679i 0.172878 + 0.127299i
\(526\) −18.6026 4.98454i −0.811110 0.217336i
\(527\) 16.0631 + 4.30410i 0.699721 + 0.187490i
\(528\) 1.53903 + 1.13327i 0.0669778 + 0.0493193i
\(529\) 5.03669 0.218986
\(530\) −4.21836 7.30641i −0.183234 0.317370i
\(531\) −16.1761 25.6200i −0.701983 1.11181i
\(532\) 0.897944i 0.0389308i
\(533\) 1.54140 3.31895i 0.0667655 0.143760i
\(534\) 20.0572 + 7.84665i 0.867958 + 0.339558i
\(535\) 1.76201 1.76201i 0.0761781 0.0761781i
\(536\) 1.07782i 0.0465549i
\(537\) −2.90714 19.1461i −0.125453 0.826215i
\(538\) −22.8443 6.12110i −0.984886 0.263899i
\(539\) 7.01704 1.88021i 0.302245 0.0809863i
\(540\) −3.80277 1.31671i −0.163645 0.0566623i
\(541\) 5.70214 + 5.70214i 0.245154 + 0.245154i 0.818978 0.573824i \(-0.194541\pi\)
−0.573824 + 0.818978i \(0.694541\pi\)
\(542\) 26.6339i 1.14402i
\(543\) −5.52907 + 14.1331i −0.237275 + 0.606509i
\(544\) 2.11491 + 2.11491i 0.0906762 + 0.0906762i
\(545\) 1.98981 3.44645i 0.0852340 0.147630i
\(546\) −2.09273 + 3.44499i −0.0895605 + 0.147432i
\(547\) 3.73629 + 6.47145i 0.159752 + 0.276699i 0.934779 0.355229i \(-0.115597\pi\)
−0.775027 + 0.631928i \(0.782264\pi\)
\(548\) 1.83541 6.84985i 0.0784049 0.292611i
\(549\) 23.9188 + 22.0966i 1.02083 + 0.943061i
\(550\) −4.20496 2.42774i −0.179300 0.103519i
\(551\) 0.326919 1.22008i 0.0139272 0.0519770i
\(552\) −8.40193 + 3.67663i −0.357610 + 0.156488i
\(553\) 1.00870 3.76454i 0.0428945 0.160084i
\(554\) 2.84084 + 10.6021i 0.120696 + 0.450442i
\(555\) −3.56697 + 9.11768i −0.151409 + 0.387024i
\(556\) 17.8645 + 10.3141i 0.757624 + 0.437414i
\(557\) −10.2462 2.74546i −0.434145 0.116329i 0.0351263 0.999383i \(-0.488817\pi\)
−0.469271 + 0.883054i \(0.655483\pi\)
\(558\) 3.67624 16.2700i 0.155628 0.688763i
\(559\) 21.9810 8.03897i 0.929695 0.340012i
\(560\) 0.432909 0.249940i 0.0182937 0.0105619i
\(561\) −4.60316 3.38954i −0.194345 0.143107i
\(562\) 31.3397 1.32199
\(563\) 8.65071 + 14.9835i 0.364584 + 0.631478i 0.988709 0.149846i \(-0.0478779\pi\)
−0.624125 + 0.781324i \(0.714545\pi\)
\(564\) 5.34444 + 0.596278i 0.225041 + 0.0251079i
\(565\) −5.92453 + 5.92453i −0.249247 + 0.249247i
\(566\) 6.40405 + 23.9003i 0.269182 + 1.00460i
\(567\) 3.76993 4.41954i 0.158322 0.185603i
\(568\) −0.871815 + 1.51003i −0.0365805 + 0.0633594i
\(569\) 16.3511 28.3209i 0.685474 1.18728i −0.287814 0.957686i \(-0.592929\pi\)
0.973288 0.229589i \(-0.0737381\pi\)
\(570\) 0.748136 + 1.70966i 0.0313360 + 0.0716099i
\(571\) 22.1007 + 12.7598i 0.924883 + 0.533982i 0.885190 0.465230i \(-0.154028\pi\)
0.0396937 + 0.999212i \(0.487362\pi\)
\(572\) 1.67585 3.60844i 0.0700708 0.150877i
\(573\) 15.3413 39.2145i 0.640891 1.63821i
\(574\) −0.169550 0.632768i −0.00707686 0.0264112i
\(575\) 20.1774 11.6494i 0.841457 0.485815i
\(576\) 2.03572 2.20360i 0.0848218 0.0918165i
\(577\) −15.1912 + 15.1912i −0.632416 + 0.632416i −0.948673 0.316257i \(-0.897574\pi\)
0.316257 + 0.948673i \(0.397574\pi\)
\(578\) 5.69523 + 5.69523i 0.236890 + 0.236890i
\(579\) 6.85980 + 15.6762i 0.285084 + 0.651482i
\(580\) −0.679209 + 0.181994i −0.0282026 + 0.00755687i
\(581\) 6.38869 3.68851i 0.265048 0.153025i
\(582\) 17.8296 14.2504i 0.739059 0.590698i
\(583\) −11.6111 + 3.11117i −0.480881 + 0.128852i
\(584\) −3.82535 −0.158294
\(585\) −1.11426 + 8.30275i −0.0460689 + 0.343277i
\(586\) −22.2591 −0.919516
\(587\) 16.7240 4.48118i 0.690273 0.184958i 0.103403 0.994639i \(-0.467027\pi\)
0.586870 + 0.809681i \(0.300360\pi\)
\(588\) −1.71178 11.2736i −0.0705925 0.464914i
\(589\) −6.69882 + 3.86756i −0.276020 + 0.159360i
\(590\) 7.55547 2.02448i 0.311054 0.0833466i
\(591\) −27.8420 + 37.8108i −1.14527 + 1.55533i
\(592\) −5.16092 5.16092i −0.212112 0.212112i
\(593\) 4.90812 4.90812i 0.201552 0.201552i −0.599112 0.800665i \(-0.704480\pi\)
0.800665 + 0.599112i \(0.204480\pi\)
\(594\) −3.21446 + 4.74801i −0.131891 + 0.194813i
\(595\) −1.29480 + 0.747555i −0.0530818 + 0.0306468i
\(596\) −4.22688 15.7749i −0.173140 0.646167i
\(597\) 6.81030 + 8.52079i 0.278727 + 0.348733i
\(598\) 10.9745 + 15.6217i 0.448781 + 0.638818i
\(599\) 3.18471 + 1.83869i 0.130124 + 0.0751269i 0.563649 0.826015i \(-0.309397\pi\)
−0.433525 + 0.901141i \(0.642730\pi\)
\(600\) −4.51903 + 6.13706i −0.184489 + 0.250544i
\(601\) 19.8617 34.4016i 0.810178 1.40327i −0.102562 0.994727i \(-0.532704\pi\)
0.912740 0.408542i \(-0.133963\pi\)
\(602\) 2.09491 3.62848i 0.0853820 0.147886i
\(603\) 3.23094 0.127943i 0.131574 0.00521023i
\(604\) 4.19291 + 15.6482i 0.170607 + 0.636715i
\(605\) −5.35715 + 5.35715i −0.217799 + 0.217799i
\(606\) 12.0500 16.3645i 0.489498 0.664761i
\(607\) 0.591299 + 1.02416i 0.0240001 + 0.0415694i 0.877776 0.479071i \(-0.159026\pi\)
−0.853776 + 0.520641i \(0.825693\pi\)
\(608\) −1.39120 −0.0564205
\(609\) 0.112548 1.00876i 0.00456066 0.0408771i
\(610\) −7.28020 + 4.20323i −0.294767 + 0.170184i
\(611\) −0.992914 11.1502i −0.0401690 0.451090i
\(612\) −6.08872 + 6.59082i −0.246122 + 0.266418i
\(613\) 27.5469 + 7.38116i 1.11261 + 0.298122i 0.767888 0.640584i \(-0.221308\pi\)
0.344719 + 0.938706i \(0.387974\pi\)
\(614\) 5.35873 + 3.09386i 0.216261 + 0.124858i
\(615\) −0.850018 1.06351i −0.0342760 0.0428849i
\(616\) −0.184339 0.687961i −0.00742721 0.0277187i
\(617\) −2.04963 + 7.64931i −0.0825148 + 0.307950i −0.994832 0.101535i \(-0.967625\pi\)
0.912317 + 0.409484i \(0.134291\pi\)
\(618\) 6.52740 + 4.80647i 0.262571 + 0.193344i
\(619\) −6.21758 + 23.2043i −0.249906 + 0.932660i 0.720948 + 0.692989i \(0.243706\pi\)
−0.970854 + 0.239672i \(0.922960\pi\)
\(620\) 3.72919 + 2.15305i 0.149768 + 0.0864685i
\(621\) −12.0186 24.7496i −0.482289 0.993168i
\(622\) −3.11482 + 11.6247i −0.124893 + 0.466106i
\(623\) −4.01294 6.95062i −0.160775 0.278471i
\(624\) −5.33737 3.24230i −0.213666 0.129796i
\(625\) 8.18134 14.1705i 0.327254 0.566820i
\(626\) −17.2282 17.2282i −0.688578 0.688578i
\(627\) 2.62881 0.399159i 0.104985 0.0159409i
\(628\) 15.3454i 0.612349i
\(629\) 15.4360 + 15.4360i 0.615474 + 0.615474i
\(630\) 0.800621 + 1.26804i 0.0318975 + 0.0505199i
\(631\) −1.75718 + 0.470835i −0.0699522 + 0.0187436i −0.293625 0.955921i \(-0.594862\pi\)
0.223673 + 0.974664i \(0.428195\pi\)
\(632\) 5.83246 + 1.56280i 0.232003 + 0.0621649i
\(633\) −35.3310 13.8220i −1.40428 0.549375i
\(634\) 17.5601i 0.697399i
\(635\) 3.40938 3.40938i 0.135297 0.135297i
\(636\) 2.83247 + 18.6543i 0.112315 + 0.739692i
\(637\) −22.2927 + 8.15297i −0.883268 + 0.323033i
\(638\) 1.00188i 0.0396647i
\(639\) −4.63002 2.43415i −0.183161 0.0962935i
\(640\) 0.387236 + 0.670712i 0.0153068 + 0.0265122i
\(641\) 10.0435 0.396692 0.198346 0.980132i \(-0.436443\pi\)
0.198346 + 0.980132i \(0.436443\pi\)
\(642\) −5.10544 + 2.23410i −0.201495 + 0.0881730i
\(643\) 0.461597 + 0.123684i 0.0182036 + 0.00487764i 0.267909 0.963444i \(-0.413667\pi\)
−0.249706 + 0.968322i \(0.580334\pi\)
\(644\) 3.30117 + 0.884545i 0.130084 + 0.0348559i
\(645\) 0.965520 8.65394i 0.0380173 0.340749i
\(646\) 4.16099 0.163712
\(647\) 13.4402 + 23.2791i 0.528389 + 0.915197i 0.999452 + 0.0330972i \(0.0105371\pi\)
−0.471063 + 0.882100i \(0.656130\pi\)
\(648\) 6.84726 + 5.84081i 0.268986 + 0.229449i
\(649\) 11.1448i 0.437472i
\(650\) 14.3890 + 6.68263i 0.564385 + 0.262114i
\(651\) −4.85551 + 3.88080i −0.190302 + 0.152101i
\(652\) −14.2180 + 14.2180i −0.556818 + 0.556818i
\(653\) 32.7229i 1.28054i −0.768148 0.640272i \(-0.778822\pi\)
0.768148 0.640272i \(-0.221178\pi\)
\(654\) −6.95235 + 5.55672i −0.271859 + 0.217285i
\(655\) −4.04369 1.08350i −0.158000 0.0423360i
\(656\) 0.980356 0.262686i 0.0382765 0.0102562i
\(657\) −0.454087 11.4671i −0.0177156 0.447373i
\(658\) −1.41701 1.41701i −0.0552408 0.0552408i
\(659\) 17.0035i 0.662361i 0.943567 + 0.331180i \(0.107447\pi\)
−0.943567 + 0.331180i \(0.892553\pi\)
\(660\) −0.924161 1.15628i −0.0359729 0.0450080i
\(661\) 31.5432 + 31.5432i 1.22689 + 1.22689i 0.965135 + 0.261754i \(0.0843011\pi\)
0.261754 + 0.965135i \(0.415699\pi\)
\(662\) 15.5821 26.9890i 0.605615 1.04896i
\(663\) 15.9638 + 9.69752i 0.619981 + 0.376620i
\(664\) 5.71467 + 9.89810i 0.221772 + 0.384121i
\(665\) 0.179991 0.671736i 0.00697975 0.0260488i
\(666\) 14.8580 16.0833i 0.575736 0.623214i
\(667\) −4.16340 2.40374i −0.161208 0.0930732i
\(668\) 2.52676 9.42999i 0.0977632 0.364857i
\(669\) 0.911918 8.17351i 0.0352568 0.316006i
\(670\) −0.216048 + 0.806301i −0.00834665 + 0.0311501i
\(671\) 3.10001 + 11.5694i 0.119675 + 0.446632i
\(672\) −1.10528 + 0.167825i −0.0426370 + 0.00647400i
\(673\) 4.42806 + 2.55654i 0.170689 + 0.0985475i 0.582911 0.812536i \(-0.301914\pi\)
−0.412222 + 0.911084i \(0.635247\pi\)
\(674\) 2.98580 + 0.800042i 0.115009 + 0.0308165i
\(675\) −18.9332 12.8180i −0.728738 0.493365i
\(676\) −4.40842 + 12.2297i −0.169555 + 0.470373i
\(677\) −10.2029 + 5.89065i −0.392130 + 0.226396i −0.683083 0.730341i \(-0.739361\pi\)
0.290953 + 0.956737i \(0.406028\pi\)
\(678\) 17.1664 7.51190i 0.659272 0.288493i
\(679\) −8.50559 −0.326415
\(680\) −1.15820 2.00606i −0.0444149 0.0769289i
\(681\) −6.42325 14.6786i −0.246140 0.562485i
\(682\) 4.33834 4.33834i 0.166123 0.166123i
\(683\) 11.2235 + 41.8867i 0.429456 + 1.60275i 0.753996 + 0.656879i \(0.228124\pi\)
−0.324540 + 0.945872i \(0.605210\pi\)
\(684\) −0.165142 4.17033i −0.00631435 0.159456i
\(685\) −2.74608 + 4.75635i −0.104922 + 0.181731i
\(686\) −4.38368 + 7.59275i −0.167370 + 0.289893i
\(687\) −32.9021 3.67088i −1.25529 0.140053i
\(688\) 5.62166 + 3.24567i 0.214324 + 0.123740i
\(689\) 36.8876 13.4907i 1.40531 0.513954i
\(690\) 7.02231 1.06627i 0.267335 0.0405921i
\(691\) −10.5005 39.1885i −0.399459 1.49080i −0.814051 0.580793i \(-0.802742\pi\)
0.414592 0.910007i \(-0.363924\pi\)
\(692\) −6.20787 + 3.58412i −0.235988 + 0.136248i
\(693\) 2.04038 0.634247i 0.0775078 0.0240930i
\(694\) −13.7814 + 13.7814i −0.523135 + 0.523135i
\(695\) −11.2967 11.2967i −0.428507 0.428507i
\(696\) 1.56289 + 0.174372i 0.0592412 + 0.00660954i
\(697\) −2.93219 + 0.785677i −0.111065 + 0.0297596i
\(698\) −19.0020 + 10.9708i −0.719237 + 0.415252i
\(699\) −37.9559 14.8489i −1.43562 0.561636i
\(700\) 2.74332 0.735069i 0.103688 0.0277830i
\(701\) 4.00390 0.151225 0.0756127 0.997137i \(-0.475909\pi\)
0.0756127 + 0.997137i \(0.475909\pi\)
\(702\) 9.08570 16.3844i 0.342918 0.618391i
\(703\) −10.1539 −0.382960
\(704\) 1.06587 0.285599i 0.0401714 0.0107639i
\(705\) −3.87855 1.51735i −0.146075 0.0571466i
\(706\) 8.49172 4.90270i 0.319590 0.184515i
\(707\) −7.31506 + 1.96006i −0.275111 + 0.0737158i
\(708\) −17.3855 1.93970i −0.653387 0.0728983i
\(709\) 36.5550 + 36.5550i 1.37285 + 1.37285i 0.856187 + 0.516665i \(0.172827\pi\)
0.516665 + 0.856187i \(0.327173\pi\)
\(710\) 0.954871 0.954871i 0.0358357 0.0358357i
\(711\) −3.99239 + 17.6692i −0.149726 + 0.662646i
\(712\) 10.7687 6.21731i 0.403574 0.233004i
\(713\) 7.61970 + 28.4371i 0.285360 + 1.06498i
\(714\) 3.30582 0.501956i 0.123717 0.0187852i
\(715\) −1.97698 + 2.36349i −0.0739348 + 0.0883896i
\(716\) −9.68278 5.59035i −0.361862 0.208921i
\(717\) −40.6433 4.53457i −1.51785 0.169347i
\(718\) 15.4672 26.7899i 0.577229 0.999790i
\(719\) 19.0888 33.0627i 0.711891 1.23303i −0.252256 0.967661i \(-0.581172\pi\)
0.964147 0.265370i \(-0.0854942\pi\)
\(720\) −1.96459 + 1.24041i −0.0732161 + 0.0462275i
\(721\) −0.781823 2.91780i −0.0291166 0.108665i
\(722\) 12.0665 12.0665i 0.449068 0.449068i
\(723\) −7.65390 17.4909i −0.284652 0.650494i
\(724\) 4.38097 + 7.58806i 0.162817 + 0.282008i
\(725\) −3.99509 −0.148374
\(726\) 15.5224 6.79250i 0.576091 0.252093i
\(727\) 19.7831 11.4218i 0.733715 0.423611i −0.0860647 0.996290i \(-0.527429\pi\)
0.819780 + 0.572679i \(0.194096\pi\)
\(728\) 0.799330 + 2.18561i 0.0296251 + 0.0810041i
\(729\) −16.6959 + 21.2190i −0.618366 + 0.785890i
\(730\) 2.86167 + 0.766783i 0.105915 + 0.0283799i
\(731\) −16.8141 9.70760i −0.621891 0.359049i
\(732\) 18.5874 2.82231i 0.687010 0.104316i
\(733\) 5.31510 + 19.8362i 0.196318 + 0.732668i 0.991922 + 0.126851i \(0.0404870\pi\)
−0.795604 + 0.605817i \(0.792846\pi\)
\(734\) 5.67269 21.1708i 0.209383 0.781428i
\(735\) −0.979213 + 8.77667i −0.0361188 + 0.323732i
\(736\) −1.37044 + 5.11455i −0.0505150 + 0.188525i
\(737\) 1.03000 + 0.594672i 0.0379406 + 0.0219050i
\(738\) 0.903813 + 2.90758i 0.0332698 + 0.107030i
\(739\) 2.52195 9.41204i 0.0927713 0.346227i −0.903901 0.427742i \(-0.859309\pi\)
0.996672 + 0.0815148i \(0.0259758\pi\)
\(740\) 2.82630 + 4.89529i 0.103897 + 0.179954i
\(741\) −8.44004 + 2.06098i −0.310052 + 0.0757118i
\(742\) 3.51559 6.08918i 0.129061 0.223541i
\(743\) 24.5627 + 24.5627i 0.901120 + 0.901120i 0.995533 0.0944135i \(-0.0300976\pi\)
−0.0944135 + 0.995533i \(0.530098\pi\)
\(744\) −6.01258 7.52271i −0.220432 0.275796i
\(745\) 12.6482i 0.463395i
\(746\) −1.03484 1.03484i −0.0378883 0.0378883i
\(747\) −28.9927 + 18.3055i −1.06079 + 0.669764i
\(748\) −3.18795 + 0.854208i −0.116563 + 0.0312329i
\(749\) 2.00595 + 0.537494i 0.0732959 + 0.0196396i
\(750\) 9.85005 7.87272i 0.359673 0.287471i
\(751\) 20.5860i 0.751193i −0.926783 0.375596i \(-0.877438\pi\)
0.926783 0.375596i \(-0.122562\pi\)
\(752\) 2.19540 2.19540i 0.0800578 0.0800578i
\(753\) 12.1378 9.70126i 0.442328 0.353534i
\(754\) −0.290361 3.26070i −0.0105743 0.118748i
\(755\) 12.5466i 0.456616i
\(756\) −0.634283 3.29331i −0.0230687 0.119777i
\(757\) 7.26256 + 12.5791i 0.263962 + 0.457196i 0.967291 0.253668i \(-0.0816372\pi\)
−0.703329 + 0.710865i \(0.748304\pi\)
\(758\) 16.9489 0.615612
\(759\) 1.12213 10.0577i 0.0407309 0.365070i
\(760\) 1.04073 + 0.278863i 0.0377512 + 0.0101154i
\(761\) −7.39827 1.98236i −0.268187 0.0718605i 0.122219 0.992503i \(-0.460999\pi\)
−0.390406 + 0.920643i \(0.627666\pi\)
\(762\) −9.87872 + 4.32286i −0.357868 + 0.156601i
\(763\) 3.31662 0.120070
\(764\) −12.1557 21.0543i −0.439777 0.761717i
\(765\) 5.87598 3.71000i 0.212447 0.134136i
\(766\) 9.05433i 0.327146i
\(767\) 3.22995 + 36.2718i 0.116627 + 1.30970i
\(768\) −0.260014 1.71242i −0.00938246 0.0617917i
\(769\) −6.40514 + 6.40514i −0.230975 + 0.2309