Properties

Label 234.2.z.a.41.3
Level $234$
Weight $2$
Character 234.41
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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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 41.3
Character \(\chi\) \(=\) 234.41
Dual form 234.2.z.a.137.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.840145 - 1.51465i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.83272 + 0.491075i) q^{5} +(1.20354 + 1.24559i) q^{6} +(-1.44971 - 1.44971i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.58831 + 2.54505i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(-0.840145 - 1.51465i) q^{3} +(0.866025 - 0.500000i) q^{4} +(-1.83272 + 0.491075i) q^{5} +(1.20354 + 1.24559i) q^{6} +(-1.44971 - 1.44971i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.58831 + 2.54505i) q^{9} +(1.64317 - 0.948684i) q^{10} +(1.49290 + 5.57157i) q^{11} +(-1.48491 - 0.891650i) q^{12} +(-2.83735 - 2.22474i) q^{13} +(1.77553 + 1.02510i) q^{14} +(2.28355 + 2.36335i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.11311 + 1.92797i) q^{17} +(0.875485 - 2.86941i) q^{18} +(1.13029 + 4.21829i) q^{19} +(-1.34164 + 1.34164i) q^{20} +(-0.977833 + 3.41377i) q^{21} +(-2.88406 - 4.99533i) q^{22} -5.93463 q^{23} +(1.66509 + 0.476945i) q^{24} +(-1.21243 + 0.699997i) q^{25} +(3.31647 + 1.41458i) q^{26} +(5.18926 + 0.267523i) q^{27} +(-1.98034 - 0.530631i) q^{28} +(-5.30738 - 3.06422i) q^{29} +(-2.81742 - 1.69179i) q^{30} +(0.660699 + 2.46576i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(7.18471 - 6.94214i) q^{33} +(0.576189 - 2.15037i) q^{34} +(3.36883 + 1.94499i) q^{35} +(-0.102995 + 2.99823i) q^{36} +(-0.585575 + 2.18540i) q^{37} +(-2.18355 - 3.78201i) q^{38} +(-0.985916 + 6.16668i) q^{39} +(0.948684 - 1.64317i) q^{40} +(-7.91945 - 7.91945i) q^{41} +(0.0609657 - 3.55053i) q^{42} -5.93015i q^{43} +(4.07867 + 4.07867i) q^{44} +(1.66112 - 5.44433i) q^{45} +(5.73241 - 1.53599i) q^{46} +(5.46823 + 1.46521i) q^{47} +(-1.73180 - 0.0297365i) q^{48} -2.79668i q^{49} +(0.989945 - 0.989945i) q^{50} +(3.85537 + 0.0662001i) q^{51} +(-3.56958 - 0.508010i) q^{52} -2.73563i q^{53} +(-5.08168 + 1.08467i) q^{54} +(-5.47212 - 9.47798i) q^{55} +2.05020 q^{56} +(5.43961 - 5.25596i) q^{57} +(5.91962 + 1.58616i) q^{58} +(6.36257 + 1.70485i) q^{59} +(3.15929 + 0.904940i) q^{60} +8.86956 q^{61} +(-1.27637 - 2.21074i) q^{62} +(5.99218 - 1.38699i) q^{63} -1.00000i q^{64} +(6.29257 + 2.68397i) q^{65} +(-5.14314 + 8.56513i) q^{66} +(-9.80081 + 9.80081i) q^{67} +2.22623i q^{68} +(4.98595 + 8.98886i) q^{69} +(-3.75744 - 1.00680i) q^{70} +(-6.43432 + 1.72407i) q^{71} +(-0.676514 - 2.92273i) q^{72} +(6.02332 + 6.02332i) q^{73} -2.26249i q^{74} +(2.07887 + 1.24830i) q^{75} +(3.08800 + 3.08800i) q^{76} +(5.91289 - 10.2414i) q^{77} +(-0.643733 - 6.21173i) q^{78} +(-5.25497 - 9.10187i) q^{79} +(-0.491075 + 1.83272i) q^{80} +(-3.95453 - 8.08466i) q^{81} +(9.69930 + 5.59989i) q^{82} +(0.723746 - 2.70106i) q^{83} +(0.860056 + 3.44533i) q^{84} +(1.09324 - 4.08004i) q^{85} +(1.53483 + 5.72808i) q^{86} +(-0.182238 + 10.6132i) q^{87} +(-4.99533 - 2.88406i) q^{88} +(-12.7827 - 3.42511i) q^{89} +(-0.195419 + 5.68875i) q^{90} +(0.888099 + 7.33856i) q^{91} +(-5.13954 + 2.96731i) q^{92} +(3.17968 - 3.07233i) q^{93} -5.66113 q^{94} +(-4.14299 - 7.17587i) q^{95} +(1.68048 - 0.419498i) q^{96} +(-4.43038 + 4.43038i) q^{97} +(0.723833 + 2.70138i) q^{98} +(-16.5511 - 5.04989i) 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
\(3\) −0.840145 1.51465i −0.485058 0.874482i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) −1.83272 + 0.491075i −0.819616 + 0.219615i −0.644179 0.764875i \(-0.722801\pi\)
−0.175437 + 0.984491i \(0.556134\pi\)
\(6\) 1.20354 + 1.24559i 0.491342 + 0.508510i
\(7\) −1.44971 1.44971i −0.547939 0.547939i 0.377905 0.925844i \(-0.376645\pi\)
−0.925844 + 0.377905i \(0.876645\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.58831 + 2.54505i −0.529437 + 0.848349i
\(10\) 1.64317 0.948684i 0.519616 0.300000i
\(11\) 1.49290 + 5.57157i 0.450125 + 1.67989i 0.702037 + 0.712141i \(0.252274\pi\)
−0.251912 + 0.967750i \(0.581059\pi\)
\(12\) −1.48491 0.891650i −0.428657 0.257397i
\(13\) −2.83735 2.22474i −0.786938 0.617032i
\(14\) 1.77553 + 1.02510i 0.474529 + 0.273970i
\(15\) 2.28355 + 2.36335i 0.589611 + 0.610213i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.11311 + 1.92797i −0.269969 + 0.467601i −0.968854 0.247634i \(-0.920347\pi\)
0.698884 + 0.715235i \(0.253680\pi\)
\(18\) 0.875485 2.86941i 0.206354 0.676327i
\(19\) 1.13029 + 4.21829i 0.259306 + 0.967742i 0.965644 + 0.259868i \(0.0836789\pi\)
−0.706339 + 0.707874i \(0.749654\pi\)
\(20\) −1.34164 + 1.34164i −0.300000 + 0.300000i
\(21\) −0.977833 + 3.41377i −0.213381 + 0.744945i
\(22\) −2.88406 4.99533i −0.614883 1.06501i
\(23\) −5.93463 −1.23746 −0.618728 0.785606i \(-0.712352\pi\)
−0.618728 + 0.785606i \(0.712352\pi\)
\(24\) 1.66509 + 0.476945i 0.339885 + 0.0973560i
\(25\) −1.21243 + 0.699997i −0.242486 + 0.139999i
\(26\) 3.31647 + 1.41458i 0.650413 + 0.277421i
\(27\) 5.18926 + 0.267523i 0.998674 + 0.0514848i
\(28\) −1.98034 0.530631i −0.374249 0.100280i
\(29\) −5.30738 3.06422i −0.985556 0.569011i −0.0816131 0.996664i \(-0.526007\pi\)
−0.903943 + 0.427653i \(0.859341\pi\)
\(30\) −2.81742 1.69179i −0.514389 0.308877i
\(31\) 0.660699 + 2.46576i 0.118665 + 0.442864i 0.999535 0.0304944i \(-0.00970818\pi\)
−0.880870 + 0.473359i \(0.843042\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 7.18471 6.94214i 1.25070 1.20847i
\(34\) 0.576189 2.15037i 0.0988157 0.368785i
\(35\) 3.36883 + 1.94499i 0.569436 + 0.328764i
\(36\) −0.102995 + 2.99823i −0.0171658 + 0.499705i
\(37\) −0.585575 + 2.18540i −0.0962680 + 0.359277i −0.997209 0.0746653i \(-0.976211\pi\)
0.900941 + 0.433942i \(0.142878\pi\)
\(38\) −2.18355 3.78201i −0.354218 0.613524i
\(39\) −0.985916 + 6.16668i −0.157873 + 0.987459i
\(40\) 0.948684 1.64317i 0.150000 0.259808i
\(41\) −7.91945 7.91945i −1.23681 1.23681i −0.961298 0.275512i \(-0.911153\pi\)
−0.275512 0.961298i \(-0.588847\pi\)
\(42\) 0.0609657 3.55053i 0.00940722 0.547858i
\(43\) 5.93015i 0.904339i −0.891932 0.452169i \(-0.850650\pi\)
0.891932 0.452169i \(-0.149350\pi\)
\(44\) 4.07867 + 4.07867i 0.614883 + 0.614883i
\(45\) 1.66112 5.44433i 0.247625 0.811593i
\(46\) 5.73241 1.53599i 0.845198 0.226470i
\(47\) 5.46823 + 1.46521i 0.797623 + 0.213723i 0.634540 0.772890i \(-0.281189\pi\)
0.163083 + 0.986612i \(0.447856\pi\)
\(48\) −1.73180 0.0297365i −0.249963 0.00429209i
\(49\) 2.79668i 0.399525i
\(50\) 0.989945 0.989945i 0.139999 0.139999i
\(51\) 3.85537 + 0.0662001i 0.539859 + 0.00926986i
\(52\) −3.56958 0.508010i −0.495012 0.0704483i
\(53\) 2.73563i 0.375767i −0.982191 0.187884i \(-0.939837\pi\)
0.982191 0.187884i \(-0.0601628\pi\)
\(54\) −5.08168 + 1.08467i −0.691529 + 0.147605i
\(55\) −5.47212 9.47798i −0.737860 1.27801i
\(56\) 2.05020 0.273970
\(57\) 5.43961 5.25596i 0.720494 0.696169i
\(58\) 5.91962 + 1.58616i 0.777284 + 0.208273i
\(59\) 6.36257 + 1.70485i 0.828337 + 0.221952i 0.647988 0.761651i \(-0.275611\pi\)
0.180349 + 0.983603i \(0.442277\pi\)
\(60\) 3.15929 + 0.904940i 0.407862 + 0.116827i
\(61\) 8.86956 1.13563 0.567815 0.823156i \(-0.307789\pi\)
0.567815 + 0.823156i \(0.307789\pi\)
\(62\) −1.27637 2.21074i −0.162100 0.280765i
\(63\) 5.99218 1.38699i 0.754943 0.174744i
\(64\) 1.00000i 0.125000i
\(65\) 6.29257 + 2.68397i 0.780497 + 0.332906i
\(66\) −5.14314 + 8.56513i −0.633077 + 1.05429i
\(67\) −9.80081 + 9.80081i −1.19736 + 1.19736i −0.222406 + 0.974954i \(0.571391\pi\)
−0.974954 + 0.222406i \(0.928609\pi\)
\(68\) 2.22623i 0.269969i
\(69\) 4.98595 + 8.98886i 0.600238 + 1.08213i
\(70\) −3.75744 1.00680i −0.449100 0.120336i
\(71\) −6.43432 + 1.72407i −0.763613 + 0.204609i −0.619548 0.784959i \(-0.712684\pi\)
−0.144065 + 0.989568i \(0.546017\pi\)
\(72\) −0.676514 2.92273i −0.0797279 0.344447i
\(73\) 6.02332 + 6.02332i 0.704976 + 0.704976i 0.965474 0.260498i \(-0.0838869\pi\)
−0.260498 + 0.965474i \(0.583887\pi\)
\(74\) 2.26249i 0.263009i
\(75\) 2.07887 + 1.24830i 0.240047 + 0.144142i
\(76\) 3.08800 + 3.08800i 0.354218 + 0.354218i
\(77\) 5.91289 10.2414i 0.673837 1.16712i
\(78\) −0.643733 6.21173i −0.0728885 0.703340i
\(79\) −5.25497 9.10187i −0.591230 1.02404i −0.994067 0.108769i \(-0.965309\pi\)
0.402837 0.915272i \(-0.368024\pi\)
\(80\) −0.491075 + 1.83272i −0.0549039 + 0.204904i
\(81\) −3.95453 8.08466i −0.439392 0.898295i
\(82\) 9.69930 + 5.59989i 1.07111 + 0.618405i
\(83\) 0.723746 2.70106i 0.0794414 0.296479i −0.914762 0.403993i \(-0.867622\pi\)
0.994204 + 0.107513i \(0.0342888\pi\)
\(84\) 0.860056 + 3.44533i 0.0938398 + 0.375916i
\(85\) 1.09324 4.08004i 0.118579 0.442543i
\(86\) 1.53483 + 5.72808i 0.165505 + 0.617675i
\(87\) −0.182238 + 10.6132i −0.0195380 + 1.13785i
\(88\) −4.99533 2.88406i −0.532504 0.307441i
\(89\) −12.7827 3.42511i −1.35496 0.363061i −0.492999 0.870030i \(-0.664099\pi\)
−0.861965 + 0.506969i \(0.830766\pi\)
\(90\) −0.195419 + 5.68875i −0.0205990 + 0.599647i
\(91\) 0.888099 + 7.33856i 0.0930981 + 0.769290i
\(92\) −5.13954 + 2.96731i −0.535834 + 0.309364i
\(93\) 3.17968 3.07233i 0.329717 0.318585i
\(94\) −5.66113 −0.583901
\(95\) −4.14299 7.17587i −0.425062 0.736229i
\(96\) 1.68048 0.419498i 0.171514 0.0428149i
\(97\) −4.43038 + 4.43038i −0.449837 + 0.449837i −0.895300 0.445463i \(-0.853039\pi\)
0.445463 + 0.895300i \(0.353039\pi\)
\(98\) 0.723833 + 2.70138i 0.0731182 + 0.272881i
\(99\) −16.5511 5.04989i −1.66345 0.507533i
\(100\) −0.699997 + 1.21243i −0.0699997 + 0.121243i
\(101\) 1.76416 3.05561i 0.175540 0.304045i −0.764808 0.644258i \(-0.777166\pi\)
0.940348 + 0.340214i \(0.110499\pi\)
\(102\) −3.74113 + 0.933898i −0.370427 + 0.0924697i
\(103\) −2.08972 1.20650i −0.205906 0.118880i 0.393501 0.919324i \(-0.371264\pi\)
−0.599407 + 0.800444i \(0.704597\pi\)
\(104\) 3.57944 0.433177i 0.350993 0.0424765i
\(105\) 0.115674 6.73666i 0.0112887 0.657431i
\(106\) 0.708032 + 2.64241i 0.0687702 + 0.256654i
\(107\) −11.9580 + 6.90393i −1.15602 + 0.667428i −0.950347 0.311193i \(-0.899272\pi\)
−0.205673 + 0.978621i \(0.565938\pi\)
\(108\) 4.62779 2.36295i 0.445310 0.227375i
\(109\) −8.53541 + 8.53541i −0.817544 + 0.817544i −0.985752 0.168207i \(-0.946202\pi\)
0.168207 + 0.985752i \(0.446202\pi\)
\(110\) 7.73874 + 7.73874i 0.737860 + 0.737860i
\(111\) 3.80207 0.949111i 0.360877 0.0900856i
\(112\) −1.98034 + 0.530631i −0.187125 + 0.0501399i
\(113\) −7.95194 + 4.59106i −0.748056 + 0.431890i −0.824991 0.565146i \(-0.808820\pi\)
0.0769351 + 0.997036i \(0.475487\pi\)
\(114\) −3.89392 + 6.48474i −0.364699 + 0.607352i
\(115\) 10.8765 2.91435i 1.01424 0.271764i
\(116\) −6.12844 −0.569011
\(117\) 10.1687 3.68759i 0.940093 0.340918i
\(118\) −6.58702 −0.606384
\(119\) 4.40869 1.18130i 0.404144 0.108290i
\(120\) −3.28585 0.0564210i −0.299956 0.00515051i
\(121\) −19.2873 + 11.1356i −1.75339 + 1.01232i
\(122\) −8.56734 + 2.29561i −0.775650 + 0.207835i
\(123\) −5.34168 + 18.6487i −0.481643 + 1.68149i
\(124\) 1.80506 + 1.80506i 0.162100 + 0.162100i
\(125\) 8.58650 8.58650i 0.768000 0.768000i
\(126\) −5.42902 + 2.89062i −0.483655 + 0.257517i
\(127\) 7.73808 4.46758i 0.686643 0.396434i −0.115710 0.993283i \(-0.536914\pi\)
0.802353 + 0.596849i \(0.203581\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) −8.98208 + 4.98218i −0.790828 + 0.438657i
\(130\) −6.77281 0.963881i −0.594015 0.0845380i
\(131\) 16.1712 + 9.33646i 1.41289 + 0.815731i 0.995659 0.0930716i \(-0.0296686\pi\)
0.417227 + 0.908802i \(0.363002\pi\)
\(132\) 2.75107 9.60442i 0.239450 0.835958i
\(133\) 4.47671 7.75389i 0.388180 0.672347i
\(134\) 6.93022 12.0035i 0.598680 1.03694i
\(135\) −9.64182 + 2.05802i −0.829836 + 0.177126i
\(136\) −0.576189 2.15037i −0.0494078 0.184393i
\(137\) 7.30587 7.30587i 0.624183 0.624183i −0.322416 0.946598i \(-0.604495\pi\)
0.946598 + 0.322416i \(0.104495\pi\)
\(138\) −7.14255 7.39212i −0.608014 0.629259i
\(139\) 9.34661 + 16.1888i 0.792769 + 1.37312i 0.924246 + 0.381797i \(0.124695\pi\)
−0.131478 + 0.991319i \(0.541972\pi\)
\(140\) 3.88999 0.328764
\(141\) −2.37483 9.51343i −0.199997 0.801175i
\(142\) 5.76885 3.33065i 0.484111 0.279502i
\(143\) 8.15943 19.1298i 0.682326 1.59971i
\(144\) 1.40992 + 2.64804i 0.117493 + 0.220670i
\(145\) 11.2317 + 3.00952i 0.932741 + 0.249927i
\(146\) −7.37702 4.25913i −0.610527 0.352488i
\(147\) −4.23598 + 2.34961i −0.349378 + 0.193793i
\(148\) 0.585575 + 2.18540i 0.0481340 + 0.179639i
\(149\) 1.41941 5.29732i 0.116283 0.433973i −0.883097 0.469191i \(-0.844546\pi\)
0.999380 + 0.0352173i \(0.0112123\pi\)
\(150\) −2.33112 0.667720i −0.190335 0.0545191i
\(151\) −1.68500 + 6.28851i −0.137124 + 0.511752i 0.862857 + 0.505449i \(0.168673\pi\)
−0.999980 + 0.00630324i \(0.997994\pi\)
\(152\) −3.78201 2.18355i −0.306762 0.177109i
\(153\) −3.13880 5.89514i −0.253757 0.476594i
\(154\) −3.06074 + 11.4228i −0.246641 + 0.920478i
\(155\) −2.42175 4.19459i −0.194520 0.336918i
\(156\) 2.22951 + 5.83346i 0.178504 + 0.467051i
\(157\) −5.12269 + 8.87276i −0.408835 + 0.708123i −0.994759 0.102243i \(-0.967398\pi\)
0.585924 + 0.810366i \(0.300732\pi\)
\(158\) 7.43165 + 7.43165i 0.591230 + 0.591230i
\(159\) −4.14351 + 2.29832i −0.328602 + 0.182269i
\(160\) 1.89737i 0.150000i
\(161\) 8.60349 + 8.60349i 0.678050 + 0.678050i
\(162\) 5.91225 + 6.78567i 0.464510 + 0.533133i
\(163\) 15.5355 4.16272i 1.21683 0.326049i 0.407393 0.913253i \(-0.366438\pi\)
0.809439 + 0.587203i \(0.199771\pi\)
\(164\) −10.8182 2.89872i −0.844757 0.226352i
\(165\) −9.75843 + 16.2512i −0.759692 + 1.26515i
\(166\) 2.79634i 0.217038i
\(167\) −4.00324 + 4.00324i −0.309780 + 0.309780i −0.844824 0.535044i \(-0.820295\pi\)
0.535044 + 0.844824i \(0.320295\pi\)
\(168\) −1.72247 3.10533i −0.132891 0.239581i
\(169\) 3.10105 + 12.6247i 0.238543 + 0.971132i
\(170\) 4.22397i 0.323964i
\(171\) −12.5310 3.82332i −0.958269 0.292377i
\(172\) −2.96507 5.13566i −0.226085 0.391590i
\(173\) 11.2165 0.852772 0.426386 0.904541i \(-0.359787\pi\)
0.426386 + 0.904541i \(0.359787\pi\)
\(174\) −2.57087 10.2987i −0.194897 0.780745i
\(175\) 2.77247 + 0.742880i 0.209579 + 0.0561565i
\(176\) 5.57157 + 1.49290i 0.419973 + 0.112531i
\(177\) −2.76325 11.0694i −0.207698 0.832025i
\(178\) 13.2336 0.991902
\(179\) 5.57461 + 9.65551i 0.416666 + 0.721687i 0.995602 0.0936864i \(-0.0298651\pi\)
−0.578936 + 0.815373i \(0.696532\pi\)
\(180\) −1.28360 5.54549i −0.0956736 0.413336i
\(181\) 2.01561i 0.149819i −0.997190 0.0749094i \(-0.976133\pi\)
0.997190 0.0749094i \(-0.0238668\pi\)
\(182\) −2.75720 6.85865i −0.204377 0.508397i
\(183\) −7.45172 13.4343i −0.550847 0.993089i
\(184\) 4.19641 4.19641i 0.309364 0.309364i
\(185\) 4.29278i 0.315611i
\(186\) −2.27616 + 3.79060i −0.166896 + 0.277940i
\(187\) −12.4036 3.32352i −0.907038 0.243040i
\(188\) 5.46823 1.46521i 0.398812 0.106861i
\(189\) −7.13510 7.91076i −0.519002 0.575423i
\(190\) 5.85908 + 5.85908i 0.425062 + 0.425062i
\(191\) 0.561217i 0.0406082i −0.999794 0.0203041i \(-0.993537\pi\)
0.999794 0.0203041i \(-0.00646344\pi\)
\(192\) −1.51465 + 0.840145i −0.109310 + 0.0606323i
\(193\) −6.30863 6.30863i −0.454105 0.454105i 0.442610 0.896714i \(-0.354053\pi\)
−0.896714 + 0.442610i \(0.854053\pi\)
\(194\) 3.13275 5.42608i 0.224918 0.389570i
\(195\) −1.22140 11.7859i −0.0874662 0.844009i
\(196\) −1.39834 2.42199i −0.0998813 0.173000i
\(197\) −2.52062 + 9.40707i −0.179586 + 0.670226i 0.816138 + 0.577857i \(0.196111\pi\)
−0.995725 + 0.0923693i \(0.970556\pi\)
\(198\) 17.2941 + 0.594086i 1.22904 + 0.0422199i
\(199\) −7.42000 4.28394i −0.525990 0.303680i 0.213392 0.976967i \(-0.431549\pi\)
−0.739382 + 0.673286i \(0.764882\pi\)
\(200\) 0.362345 1.35229i 0.0256217 0.0956214i
\(201\) 23.0789 + 6.61067i 1.62786 + 0.466281i
\(202\) −0.913195 + 3.40809i −0.0642522 + 0.239792i
\(203\) 3.25194 + 12.1364i 0.228241 + 0.851808i
\(204\) 3.37195 1.87035i 0.236083 0.130951i
\(205\) 18.4031 + 10.6251i 1.28533 + 0.742087i
\(206\) 2.33078 + 0.624531i 0.162393 + 0.0435131i
\(207\) 9.42604 15.1039i 0.655155 1.04979i
\(208\) −3.34535 + 1.34484i −0.231959 + 0.0932480i
\(209\) −21.8151 + 12.5949i −1.50898 + 0.871210i
\(210\) 1.63184 + 6.53705i 0.112608 + 0.451099i
\(211\) 12.8435 0.884180 0.442090 0.896971i \(-0.354237\pi\)
0.442090 + 0.896971i \(0.354237\pi\)
\(212\) −1.36781 2.36912i −0.0939418 0.162712i
\(213\) 8.01712 + 8.29725i 0.549324 + 0.568518i
\(214\) 9.76363 9.76363i 0.667428 0.667428i
\(215\) 2.91215 + 10.8683i 0.198607 + 0.741211i
\(216\) −3.85853 + 3.48019i −0.262540 + 0.236797i
\(217\) 2.61682 4.53247i 0.177641 0.307684i
\(218\) 6.03545 10.4537i 0.408772 0.708014i
\(219\) 4.06274 14.1837i 0.274534 0.958443i
\(220\) −9.47798 5.47212i −0.639005 0.368930i
\(221\) 7.44751 2.99392i 0.500974 0.201393i
\(222\) −3.42687 + 1.90082i −0.229997 + 0.127575i
\(223\) −3.12393 11.6587i −0.209194 0.780721i −0.988130 0.153619i \(-0.950907\pi\)
0.778937 0.627103i \(-0.215759\pi\)
\(224\) 1.77553 1.02510i 0.118632 0.0684924i
\(225\) 0.144192 4.19751i 0.00961282 0.279834i
\(226\) 6.49274 6.49274i 0.431890 0.431890i
\(227\) −9.08871 9.08871i −0.603239 0.603239i 0.337932 0.941171i \(-0.390273\pi\)
−0.941171 + 0.337932i \(0.890273\pi\)
\(228\) 2.08286 7.27160i 0.137941 0.481574i
\(229\) 18.7930 5.03556i 1.24187 0.332759i 0.422682 0.906278i \(-0.361089\pi\)
0.819192 + 0.573519i \(0.194422\pi\)
\(230\) −9.75159 + 5.63009i −0.643001 + 0.371237i
\(231\) −20.4798 0.351657i −1.34747 0.0231373i
\(232\) 5.91962 1.58616i 0.388642 0.104136i
\(233\) −4.00407 −0.262316 −0.131158 0.991361i \(-0.541869\pi\)
−0.131158 + 0.991361i \(0.541869\pi\)
\(234\) −8.86775 + 6.19379i −0.579703 + 0.404900i
\(235\) −10.7412 −0.700682
\(236\) 6.36257 1.70485i 0.414168 0.110976i
\(237\) −9.37119 + 15.6063i −0.608724 + 1.01374i
\(238\) −3.95272 + 2.28210i −0.256217 + 0.147927i
\(239\) 8.86245 2.37469i 0.573264 0.153606i 0.0394708 0.999221i \(-0.487433\pi\)
0.533793 + 0.845615i \(0.320766\pi\)
\(240\) 3.18849 0.795943i 0.205816 0.0513779i
\(241\) −13.6909 13.6909i −0.881911 0.881911i 0.111818 0.993729i \(-0.464333\pi\)
−0.993729 + 0.111818i \(0.964333\pi\)
\(242\) 15.7480 15.7480i 1.01232 1.01232i
\(243\) −8.92302 + 12.7820i −0.572412 + 0.819966i
\(244\) 7.68127 4.43478i 0.491743 0.283908i
\(245\) 1.37338 + 5.12552i 0.0877419 + 0.327457i
\(246\) 0.333042 19.3957i 0.0212340 1.23663i
\(247\) 6.17758 14.4833i 0.393070 0.921553i
\(248\) −2.21074 1.27637i −0.140382 0.0810498i
\(249\) −4.69920 + 1.17306i −0.297800 + 0.0743396i
\(250\) −6.07157 + 10.5163i −0.384000 + 0.665107i
\(251\) 7.58584 13.1391i 0.478814 0.829331i −0.520891 0.853623i \(-0.674400\pi\)
0.999705 + 0.0242928i \(0.00773340\pi\)
\(252\) 4.49588 4.19726i 0.283214 0.264402i
\(253\) −8.85979 33.0652i −0.557010 2.07879i
\(254\) −6.31811 + 6.31811i −0.396434 + 0.396434i
\(255\) −7.09831 + 1.77195i −0.444513 + 0.110964i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −7.12985 −0.444748 −0.222374 0.974961i \(-0.571381\pi\)
−0.222374 + 0.974961i \(0.571381\pi\)
\(258\) 7.38654 7.13715i 0.459866 0.444340i
\(259\) 4.01711 2.31928i 0.249611 0.144113i
\(260\) 6.79151 0.821895i 0.421191 0.0509718i
\(261\) 16.2284 8.64060i 1.00451 0.534840i
\(262\) −18.0367 4.83291i −1.11431 0.298578i
\(263\) 8.95993 + 5.17302i 0.552493 + 0.318982i 0.750127 0.661294i \(-0.229992\pi\)
−0.197634 + 0.980276i \(0.563326\pi\)
\(264\) −0.171523 + 9.98919i −0.0105565 + 0.614792i
\(265\) 1.34340 + 5.01363i 0.0825243 + 0.307985i
\(266\) −2.31731 + 8.64834i −0.142084 + 0.530264i
\(267\) 5.55148 + 22.2389i 0.339745 + 1.36100i
\(268\) −3.58735 + 13.3882i −0.219132 + 0.817812i
\(269\) −16.9068 9.76113i −1.03082 0.595146i −0.113603 0.993526i \(-0.536239\pi\)
−0.917221 + 0.398380i \(0.869573\pi\)
\(270\) 8.78063 4.48338i 0.534372 0.272850i
\(271\) −4.18848 + 15.6316i −0.254432 + 0.949553i 0.713974 + 0.700172i \(0.246894\pi\)
−0.968406 + 0.249380i \(0.919773\pi\)
\(272\) 1.11311 + 1.92797i 0.0674924 + 0.116900i
\(273\) 10.3692 7.51061i 0.627572 0.454563i
\(274\) −5.16603 + 8.94783i −0.312091 + 0.540558i
\(275\) −5.71011 5.71011i −0.344333 0.344333i
\(276\) 8.81239 + 5.29161i 0.530444 + 0.318518i
\(277\) 30.8376i 1.85285i 0.376475 + 0.926427i \(0.377136\pi\)
−0.376475 + 0.926427i \(0.622864\pi\)
\(278\) −13.2181 13.2181i −0.792769 0.792769i
\(279\) −7.32488 2.23489i −0.438529 0.133799i
\(280\) −3.75744 + 1.00680i −0.224550 + 0.0601679i
\(281\) −8.78669 2.35439i −0.524170 0.140451i −0.0129751 0.999916i \(-0.504130\pi\)
−0.511195 + 0.859465i \(0.670797\pi\)
\(282\) 4.75617 + 8.57461i 0.283226 + 0.510611i
\(283\) 17.1581i 1.01994i −0.860192 0.509970i \(-0.829656\pi\)
0.860192 0.509970i \(-0.170344\pi\)
\(284\) −4.71025 + 4.71025i −0.279502 + 0.279502i
\(285\) −7.38820 + 12.3039i −0.437639 + 0.728823i
\(286\) −2.93026 + 20.5898i −0.173270 + 1.21750i
\(287\) 22.9618i 1.35539i
\(288\) −2.04724 2.19290i −0.120635 0.129218i
\(289\) 6.02196 + 10.4303i 0.354233 + 0.613550i
\(290\) −11.6279 −0.682814
\(291\) 10.4326 + 2.98830i 0.611571 + 0.175177i
\(292\) 8.22800 + 2.20469i 0.481507 + 0.129020i
\(293\) 10.1264 + 2.71337i 0.591592 + 0.158517i 0.542181 0.840262i \(-0.317599\pi\)
0.0494113 + 0.998779i \(0.484265\pi\)
\(294\) 3.48352 3.36591i 0.203163 0.196304i
\(295\) −12.4980 −0.727662
\(296\) −1.13124 1.95937i −0.0657523 0.113886i
\(297\) 6.25651 + 29.3117i 0.363040 + 1.70084i
\(298\) 5.48419i 0.317691i
\(299\) 16.8386 + 13.2030i 0.973800 + 0.763550i
\(300\) 2.42450 + 0.0416309i 0.139979 + 0.00240356i
\(301\) −8.59700 + 8.59700i −0.495523 + 0.495523i
\(302\) 6.51035i 0.374629i
\(303\) −6.11032 0.104920i −0.351029 0.00602748i
\(304\) 4.21829 + 1.13029i 0.241935 + 0.0648264i
\(305\) −16.2554 + 4.35562i −0.930781 + 0.249402i
\(306\) 4.55762 + 4.88189i 0.260542 + 0.279079i
\(307\) 6.92368 + 6.92368i 0.395155 + 0.395155i 0.876520 0.481365i \(-0.159859\pi\)
−0.481365 + 0.876520i \(0.659859\pi\)
\(308\) 11.8258i 0.673837i
\(309\) −0.0717542 + 4.17883i −0.00408195 + 0.237725i
\(310\) 3.42487 + 3.42487i 0.194520 + 0.194520i
\(311\) −7.54546 + 13.0691i −0.427864 + 0.741082i −0.996683 0.0813809i \(-0.974067\pi\)
0.568819 + 0.822462i \(0.307400\pi\)
\(312\) −3.66336 5.05765i −0.207397 0.286333i
\(313\) −13.2146 22.8883i −0.746933 1.29373i −0.949286 0.314413i \(-0.898192\pi\)
0.202353 0.979313i \(-0.435141\pi\)
\(314\) 2.65170 9.89627i 0.149644 0.558479i
\(315\) −10.3008 + 5.48457i −0.580387 + 0.309020i
\(316\) −9.10187 5.25497i −0.512020 0.295615i
\(317\) −7.90095 + 29.4867i −0.443761 + 1.65614i 0.275425 + 0.961323i \(0.411182\pi\)
−0.719186 + 0.694817i \(0.755485\pi\)
\(318\) 3.40747 3.29243i 0.191082 0.184630i
\(319\) 9.14912 34.1450i 0.512253 1.91175i
\(320\) 0.491075 + 1.83272i 0.0274519 + 0.102452i
\(321\) 20.5034 + 12.3118i 1.14439 + 0.687177i
\(322\) −10.5371 6.08359i −0.587209 0.339025i
\(323\) −9.39086 2.51627i −0.522521 0.140009i
\(324\) −7.46705 5.02425i −0.414836 0.279125i
\(325\) 4.99739 + 0.711210i 0.277206 + 0.0394509i
\(326\) −13.9287 + 8.04176i −0.771441 + 0.445392i
\(327\) 20.0991 + 5.75715i 1.11148 + 0.318371i
\(328\) 11.1998 0.618405
\(329\) −5.80323 10.0515i −0.319942 0.554156i
\(330\) 5.21979 18.2231i 0.287340 1.00315i
\(331\) −7.44027 + 7.44027i −0.408954 + 0.408954i −0.881374 0.472420i \(-0.843381\pi\)
0.472420 + 0.881374i \(0.343381\pi\)
\(332\) −0.723746 2.70106i −0.0397207 0.148240i
\(333\) −4.63186 4.96141i −0.253824 0.271884i
\(334\) 2.83072 4.90295i 0.154890 0.268277i
\(335\) 13.1492 22.7751i 0.718417 1.24433i
\(336\) 2.46749 + 2.55371i 0.134613 + 0.139316i
\(337\) 0.605437 + 0.349549i 0.0329803 + 0.0190412i 0.516399 0.856348i \(-0.327272\pi\)
−0.483419 + 0.875389i \(0.660605\pi\)
\(338\) −6.26291 11.3919i −0.340657 0.619639i
\(339\) 13.6346 + 8.18723i 0.740531 + 0.444670i
\(340\) −1.09324 4.08004i −0.0592895 0.221271i
\(341\) −12.7518 + 7.36226i −0.690549 + 0.398689i
\(342\) 13.0936 + 0.449789i 0.708018 + 0.0243218i
\(343\) −14.2023 + 14.2023i −0.766855 + 0.766855i
\(344\) 4.19325 + 4.19325i 0.226085 + 0.226085i
\(345\) −13.5520 14.0256i −0.729617 0.755111i
\(346\) −10.8343 + 2.90303i −0.582454 + 0.156068i
\(347\) 20.0278 11.5630i 1.07515 0.620737i 0.145564 0.989349i \(-0.453500\pi\)
0.929583 + 0.368612i \(0.120167\pi\)
\(348\) 5.14878 + 9.28242i 0.276003 + 0.497590i
\(349\) 3.12934 0.838505i 0.167510 0.0448842i −0.174089 0.984730i \(-0.555698\pi\)
0.341599 + 0.939846i \(0.389031\pi\)
\(350\) −2.87027 −0.153422
\(351\) −14.1286 12.3038i −0.754127 0.656729i
\(352\) −5.76811 −0.307441
\(353\) −11.0229 + 2.95358i −0.586690 + 0.157203i −0.539940 0.841704i \(-0.681553\pi\)
−0.0467497 + 0.998907i \(0.514886\pi\)
\(354\) 5.53405 + 9.97701i 0.294132 + 0.530272i
\(355\) 10.9456 6.31946i 0.580934 0.335402i
\(356\) −12.7827 + 3.42511i −0.677482 + 0.181531i
\(357\) −5.49320 5.68514i −0.290731 0.300889i
\(358\) −7.88369 7.88369i −0.416666 0.416666i
\(359\) 20.7218 20.7218i 1.09366 1.09366i 0.0985204 0.995135i \(-0.468589\pi\)
0.995135 0.0985204i \(-0.0314110\pi\)
\(360\) 2.67514 + 5.02431i 0.140992 + 0.264804i
\(361\) −0.0619225 + 0.0357510i −0.00325908 + 0.00188163i
\(362\) 0.521677 + 1.94693i 0.0274187 + 0.102328i
\(363\) 33.0706 + 19.8580i 1.73576 + 1.04228i
\(364\) 4.43840 + 5.91133i 0.232635 + 0.309838i
\(365\) −13.9969 8.08113i −0.732633 0.422986i
\(366\) 10.6748 + 11.0478i 0.557983 + 0.577480i
\(367\) 6.15156 10.6548i 0.321109 0.556177i −0.659608 0.751610i \(-0.729278\pi\)
0.980717 + 0.195433i \(0.0626111\pi\)
\(368\) −2.96731 + 5.13954i −0.154682 + 0.267917i
\(369\) 32.7339 7.57681i 1.70406 0.394433i
\(370\) 1.11105 + 4.14650i 0.0577608 + 0.215566i
\(371\) −3.96587 + 3.96587i −0.205898 + 0.205898i
\(372\) 1.21752 4.25055i 0.0631254 0.220381i
\(373\) −14.1688 24.5411i −0.733633 1.27069i −0.955321 0.295572i \(-0.904490\pi\)
0.221688 0.975118i \(-0.428843\pi\)
\(374\) 12.8411 0.663998
\(375\) −20.2194 5.79161i −1.04413 0.299077i
\(376\) −4.90268 + 2.83056i −0.252836 + 0.145975i
\(377\) 8.24178 + 20.5018i 0.424473 + 1.05590i
\(378\) 8.93943 + 5.79451i 0.459795 + 0.298037i
\(379\) −17.5171 4.69369i −0.899793 0.241099i −0.220866 0.975304i \(-0.570888\pi\)
−0.678927 + 0.734206i \(0.737555\pi\)
\(380\) −7.17587 4.14299i −0.368114 0.212531i
\(381\) −13.2679 7.96704i −0.679736 0.408164i
\(382\) 0.145254 + 0.542094i 0.00743182 + 0.0277359i
\(383\) −5.23117 + 19.5230i −0.267301 + 0.997579i 0.693527 + 0.720431i \(0.256056\pi\)
−0.960827 + 0.277148i \(0.910611\pi\)
\(384\) 1.24559 1.20354i 0.0635638 0.0614178i
\(385\) −5.80735 + 21.6733i −0.295970 + 1.10457i
\(386\) 7.72646 + 4.46087i 0.393266 + 0.227052i
\(387\) 15.0925 + 9.41892i 0.767195 + 0.478791i
\(388\) −1.62163 + 6.05201i −0.0823259 + 0.307244i
\(389\) 13.1281 + 22.7385i 0.665620 + 1.15289i 0.979117 + 0.203298i \(0.0651660\pi\)
−0.313497 + 0.949589i \(0.601501\pi\)
\(390\) 4.23021 + 11.0682i 0.214205 + 0.560461i
\(391\) 6.60591 11.4418i 0.334075 0.578635i
\(392\) 1.97755 + 1.97755i 0.0998813 + 0.0998813i
\(393\) 0.555267 32.3377i 0.0280095 1.63122i
\(394\) 9.73891i 0.490639i
\(395\) 14.1006 + 14.1006i 0.709477 + 0.709477i
\(396\) −16.8586 + 3.90221i −0.847177 + 0.196093i
\(397\) −29.4918 + 7.90232i −1.48015 + 0.396606i −0.906399 0.422422i \(-0.861180\pi\)
−0.573754 + 0.819028i \(0.694513\pi\)
\(398\) 8.27594 + 2.21753i 0.414835 + 0.111155i
\(399\) −15.5055 0.266243i −0.776245 0.0133288i
\(400\) 1.39999i 0.0699997i
\(401\) 2.17000 2.17000i 0.108364 0.108364i −0.650846 0.759210i \(-0.725586\pi\)
0.759210 + 0.650846i \(0.225586\pi\)
\(402\) −24.0035 0.412161i −1.19718 0.0205567i
\(403\) 3.61105 8.46610i 0.179879 0.421727i
\(404\) 3.52832i 0.175540i
\(405\) 11.2177 + 12.8749i 0.557412 + 0.639760i
\(406\) −6.28226 10.8812i −0.311783 0.540025i
\(407\) −13.0503 −0.646879
\(408\) −2.77297 + 2.67935i −0.137282 + 0.132647i
\(409\) 17.7258 + 4.74963i 0.876487 + 0.234854i 0.668891 0.743361i \(-0.266769\pi\)
0.207596 + 0.978215i \(0.433436\pi\)
\(410\) −20.5260 5.49994i −1.01371 0.271623i
\(411\) −17.2038 4.92782i −0.848601 0.243072i
\(412\) −2.41300 −0.118880
\(413\) −6.75236 11.6954i −0.332262 0.575494i
\(414\) −5.19568 + 17.0289i −0.255354 + 0.836924i
\(415\) 5.30568i 0.260446i
\(416\) 2.88329 2.16486i 0.141365 0.106141i
\(417\) 16.6678 27.7577i 0.816226 1.35930i
\(418\) 17.8119 17.8119i 0.871210 0.871210i
\(419\) 19.0261i 0.929486i 0.885446 + 0.464743i \(0.153853\pi\)
−0.885446 + 0.464743i \(0.846147\pi\)
\(420\) −3.26815 5.89196i −0.159470 0.287498i
\(421\) −30.5835 8.19483i −1.49055 0.399392i −0.580628 0.814169i \(-0.697193\pi\)
−0.909923 + 0.414777i \(0.863859\pi\)
\(422\) −12.4058 + 3.32413i −0.603906 + 0.161816i
\(423\) −12.4143 + 11.5897i −0.603603 + 0.563510i
\(424\) 1.93438 + 1.93438i 0.0939418 + 0.0939418i
\(425\) 3.11670i 0.151182i
\(426\) −9.89143 5.93954i −0.479241 0.287772i
\(427\) −12.8583 12.8583i −0.622257 0.622257i
\(428\) −6.90393 + 11.9580i −0.333714 + 0.578010i
\(429\) −35.8300 + 3.71313i −1.72989 + 0.179271i
\(430\) −5.62584 9.74423i −0.271302 0.469909i
\(431\) −2.93713 + 10.9615i −0.141477 + 0.527999i 0.858410 + 0.512964i \(0.171453\pi\)
−0.999887 + 0.0150347i \(0.995214\pi\)
\(432\) 2.82631 4.36027i 0.135981 0.209784i
\(433\) 19.3513 + 11.1725i 0.929963 + 0.536915i 0.886800 0.462153i \(-0.152923\pi\)
0.0431634 + 0.999068i \(0.486256\pi\)
\(434\) −1.35457 + 5.05531i −0.0650212 + 0.242663i
\(435\) −4.87789 19.5405i −0.233877 0.936894i
\(436\) −3.12418 + 11.6596i −0.149621 + 0.558393i
\(437\) −6.70783 25.0340i −0.320879 1.19754i
\(438\) −0.253303 + 14.7519i −0.0121033 + 0.704872i
\(439\) 27.3401 + 15.7848i 1.30487 + 0.753368i 0.981235 0.192814i \(-0.0617613\pi\)
0.323636 + 0.946182i \(0.395095\pi\)
\(440\) 10.5713 + 2.83258i 0.503968 + 0.135038i
\(441\) 7.11768 + 4.44200i 0.338937 + 0.211524i
\(442\) −6.41886 + 4.81946i −0.305314 + 0.229239i
\(443\) 4.41781 2.55062i 0.209897 0.121184i −0.391367 0.920235i \(-0.627998\pi\)
0.601263 + 0.799051i \(0.294664\pi\)
\(444\) 2.81814 2.72299i 0.133743 0.129227i
\(445\) 25.1091 1.19028
\(446\) 6.03496 + 10.4529i 0.285764 + 0.494958i
\(447\) −9.21609 + 2.30061i −0.435906 + 0.108815i
\(448\) −1.44971 + 1.44971i −0.0684924 + 0.0684924i
\(449\) 7.26523 + 27.1142i 0.342867 + 1.27960i 0.895084 + 0.445898i \(0.147116\pi\)
−0.552216 + 0.833701i \(0.686218\pi\)
\(450\) 0.947115 + 4.09180i 0.0446474 + 0.192889i
\(451\) 32.3008 55.9466i 1.52099 2.63442i
\(452\) −4.59106 + 7.95194i −0.215945 + 0.374028i
\(453\) 10.9405 2.73108i 0.514031 0.128317i
\(454\) 11.1313 + 6.42669i 0.522420 + 0.301619i
\(455\) −5.23142 13.0134i −0.245253 0.610077i
\(456\) −0.129862 + 7.56291i −0.00608134 + 0.354166i
\(457\) 9.22222 + 34.4178i 0.431397 + 1.61000i 0.749544 + 0.661955i \(0.230273\pi\)
−0.318147 + 0.948041i \(0.603060\pi\)
\(458\) −16.8493 + 9.72795i −0.787316 + 0.454557i
\(459\) −6.29201 + 9.70694i −0.293686 + 0.453081i
\(460\) 7.96214 7.96214i 0.371237 0.371237i
\(461\) −12.5859 12.5859i −0.586185 0.586185i 0.350411 0.936596i \(-0.386042\pi\)
−0.936596 + 0.350411i \(0.886042\pi\)
\(462\) 19.8730 4.96090i 0.924577 0.230802i
\(463\) −26.6170 + 7.13200i −1.23700 + 0.331452i −0.817300 0.576212i \(-0.804530\pi\)
−0.419696 + 0.907665i \(0.637863\pi\)
\(464\) −5.30738 + 3.06422i −0.246389 + 0.142253i
\(465\) −4.31871 + 7.19216i −0.200275 + 0.333529i
\(466\) 3.86764 1.03633i 0.179165 0.0480071i
\(467\) −16.8628 −0.780315 −0.390158 0.920748i \(-0.627580\pi\)
−0.390158 + 0.920748i \(0.627580\pi\)
\(468\) 6.96252 8.27788i 0.321843 0.382645i
\(469\) 28.4167 1.31216
\(470\) 10.3752 2.78004i 0.478574 0.128234i
\(471\) 17.7429 + 0.304661i 0.817550 + 0.0140381i
\(472\) −5.70453 + 3.29351i −0.262572 + 0.151596i
\(473\) 33.0402 8.85310i 1.51919 0.407066i
\(474\) 5.01266 17.5000i 0.230239 0.803801i
\(475\) −4.32318 4.32318i −0.198361 0.198361i
\(476\) 3.22738 3.22738i 0.147927 0.147927i
\(477\) 6.96230 + 4.34503i 0.318782 + 0.198945i
\(478\) −7.94585 + 4.58754i −0.363435 + 0.209829i
\(479\) −9.87124 36.8400i −0.451028 1.68326i −0.699509 0.714624i \(-0.746598\pi\)
0.248480 0.968637i \(-0.420069\pi\)
\(480\) −2.87384 + 1.59406i −0.131172 + 0.0727588i
\(481\) 6.52342 4.89797i 0.297442 0.223328i
\(482\) 16.7679 + 9.68096i 0.763757 + 0.440956i
\(483\) 5.80307 20.2594i 0.264049 0.921836i
\(484\) −11.1356 + 19.2873i −0.506161 + 0.876697i
\(485\) 5.94398 10.2953i 0.269902 0.467485i
\(486\) 5.31075 14.6559i 0.240901 0.664806i
\(487\) −3.49748 13.0528i −0.158486 0.591478i −0.998782 0.0493492i \(-0.984285\pi\)
0.840296 0.542128i \(-0.182381\pi\)
\(488\) −6.27173 + 6.27173i −0.283908 + 0.283908i
\(489\) −19.3571 20.0335i −0.875359 0.905945i
\(490\) −2.65316 4.59541i −0.119858 0.207600i
\(491\) −30.4970 −1.37631 −0.688155 0.725564i \(-0.741579\pi\)
−0.688155 + 0.725564i \(0.741579\pi\)
\(492\) 4.69829 + 18.8210i 0.211815 + 0.848518i
\(493\) 11.8154 6.82164i 0.532140 0.307231i
\(494\) −2.21853 + 15.5887i −0.0998162 + 0.701369i
\(495\) 32.8133 + 1.12720i 1.47485 + 0.0506639i
\(496\) 2.46576 + 0.660699i 0.110716 + 0.0296663i
\(497\) 11.8273 + 6.82849i 0.530527 + 0.306300i
\(498\) 4.23547 2.34933i 0.189796 0.105276i
\(499\) −0.215030 0.802501i −0.00962605 0.0359249i 0.960946 0.276737i \(-0.0892530\pi\)
−0.970572 + 0.240812i \(0.922586\pi\)
\(500\) 3.14288 11.7294i 0.140554 0.524554i
\(501\) 9.42680 + 2.70019i 0.421158 + 0.120636i
\(502\) −3.92672 + 14.6547i −0.175258 + 0.654072i
\(503\) −1.71989 0.992977i −0.0766860 0.0442747i 0.461167 0.887314i \(-0.347431\pi\)
−0.537853 + 0.843039i \(0.680764\pi\)
\(504\) −3.25636 + 5.21786i −0.145050 + 0.232422i
\(505\) −1.73267 + 6.46640i −0.0771027 + 0.287751i
\(506\) 17.1158 + 29.6454i 0.760890 + 1.31790i
\(507\) 16.5167 15.3036i 0.733530 0.679657i
\(508\) 4.46758 7.73808i 0.198217 0.343322i
\(509\) −12.0729 12.0729i −0.535122 0.535122i 0.386970 0.922092i \(-0.373522\pi\)
−0.922092 + 0.386970i \(0.873522\pi\)
\(510\) 6.39782 3.54875i 0.283300 0.157141i
\(511\) 17.4641i 0.772568i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 4.73686 + 22.1922i 0.209138 + 0.979808i
\(514\) 6.88691 1.84534i 0.303768 0.0813945i
\(515\) 4.42235 + 1.18497i 0.194872 + 0.0522158i
\(516\) −5.28762 + 8.80574i −0.232774 + 0.387651i
\(517\) 32.6540i 1.43612i
\(518\) −3.27996 + 3.27996i −0.144113 + 0.144113i
\(519\) −9.42346 16.9890i −0.413644 0.745734i
\(520\) −6.34737 + 2.55166i −0.278351 + 0.111898i
\(521\) 14.9970i 0.657030i −0.944499 0.328515i \(-0.893452\pi\)
0.944499 0.328515i \(-0.106548\pi\)
\(522\) −13.4390 + 12.5464i −0.588211 + 0.549141i
\(523\) −18.1632 31.4596i −0.794221 1.37563i −0.923333 0.384001i \(-0.874546\pi\)
0.129112 0.991630i \(-0.458787\pi\)
\(524\) 18.6729 0.815731
\(525\) −1.20407 4.82344i −0.0525501 0.210512i
\(526\) −9.99351 2.67775i −0.435738 0.116756i
\(527\) −5.48934 1.47087i −0.239120 0.0640719i
\(528\) −2.41971 9.69321i −0.105305 0.421843i
\(529\) 12.2198 0.531295
\(530\) −2.59524 4.49510i −0.112730 0.195254i
\(531\) −14.4447 + 13.4852i −0.626845 + 0.585209i
\(532\) 8.95342i 0.388180i
\(533\) 4.85149 + 40.0889i 0.210141 + 1.73644i
\(534\) −11.1182 20.0443i −0.481130 0.867400i
\(535\) 18.5252 18.5252i 0.800915 0.800915i
\(536\) 13.8604i 0.598680i
\(537\) 9.94121 16.5556i 0.428995 0.714427i
\(538\) 18.8570 + 5.05273i 0.812985 + 0.217839i
\(539\) 15.5819 4.17515i 0.671159 0.179836i
\(540\) −7.32105 + 6.60321i −0.315048 + 0.284157i
\(541\) −12.6107 12.6107i −0.542176 0.542176i 0.381990 0.924166i \(-0.375239\pi\)
−0.924166 + 0.381990i \(0.875239\pi\)
\(542\) 16.1830i 0.695121i
\(543\) −3.05293 + 1.69340i −0.131014 + 0.0726708i
\(544\) −1.57418 1.57418i −0.0674924 0.0674924i
\(545\) 11.4515 19.8345i 0.490527 0.849618i
\(546\) −8.07199 + 9.93844i −0.345449 + 0.425326i
\(547\) 3.89564 + 6.74745i 0.166566 + 0.288500i 0.937210 0.348765i \(-0.113399\pi\)
−0.770644 + 0.637265i \(0.780066\pi\)
\(548\) 2.67413 9.98001i 0.114233 0.426325i
\(549\) −14.0876 + 22.5735i −0.601245 + 0.963411i
\(550\) 6.99343 + 4.03766i 0.298201 + 0.172166i
\(551\) 6.92689 25.8515i 0.295095 1.10131i
\(552\) −9.88168 2.83049i −0.420592 0.120474i
\(553\) −5.57690 + 20.8133i −0.237154 + 0.885070i
\(554\) −7.98136 29.7869i −0.339096 1.26552i
\(555\) −6.50204 + 3.60656i −0.275996 + 0.153090i
\(556\) 16.1888 + 9.34661i 0.686558 + 0.396384i
\(557\) 18.3374 + 4.91350i 0.776982 + 0.208192i 0.625454 0.780261i \(-0.284914\pi\)
0.151528 + 0.988453i \(0.451581\pi\)
\(558\) 7.65372 + 0.262920i 0.324008 + 0.0111303i
\(559\) −13.1930 + 16.8259i −0.558006 + 0.711659i
\(560\) 3.36883 1.94499i 0.142359 0.0821909i
\(561\) 5.38683 + 21.5793i 0.227432 + 0.911077i
\(562\) 9.09665 0.383719
\(563\) 14.6652 + 25.4009i 0.618066 + 1.07052i 0.989838 + 0.142198i \(0.0454169\pi\)
−0.371772 + 0.928324i \(0.621250\pi\)
\(564\) −6.81338 7.05145i −0.286895 0.296920i
\(565\) 12.3191 12.3191i 0.518269 0.518269i
\(566\) 4.44083 + 16.5734i 0.186662 + 0.696632i
\(567\) −5.98749 + 17.4533i −0.251451 + 0.732971i
\(568\) 3.33065 5.76885i 0.139751 0.242056i
\(569\) −2.33915 + 4.05152i −0.0980622 + 0.169849i −0.910883 0.412666i \(-0.864598\pi\)
0.812820 + 0.582515i \(0.197931\pi\)
\(570\) 3.95196 13.7969i 0.165529 0.577889i
\(571\) −1.98594 1.14658i −0.0831088 0.0479829i 0.457870 0.889019i \(-0.348613\pi\)
−0.540978 + 0.841036i \(0.681946\pi\)
\(572\) −2.49861 20.6466i −0.104472 0.863277i
\(573\) −0.850045 + 0.471503i −0.0355111 + 0.0196973i
\(574\) −5.94296 22.1794i −0.248054 0.925751i
\(575\) 7.19532 4.15422i 0.300066 0.173243i
\(576\) 2.54505 + 1.58831i 0.106044 + 0.0661797i
\(577\) 13.7676 13.7676i 0.573154 0.573154i −0.359854 0.933008i \(-0.617174\pi\)
0.933008 + 0.359854i \(0.117174\pi\)
\(578\) −8.51634 8.51634i −0.354233 0.354233i
\(579\) −4.25518 + 14.8555i −0.176839 + 0.617374i
\(580\) 11.2317 3.00952i 0.466371 0.124964i
\(581\) −4.96497 + 2.86653i −0.205982 + 0.118924i
\(582\) −10.8506 0.186314i −0.449771 0.00772296i
\(583\) 15.2417 4.08401i 0.631248 0.169142i
\(584\) −8.51825 −0.352488
\(585\) −16.8254 + 11.7519i −0.695644 + 0.485881i
\(586\) −10.4836 −0.433075
\(587\) −17.2487 + 4.62178i −0.711931 + 0.190761i −0.596569 0.802562i \(-0.703470\pi\)
−0.115363 + 0.993323i \(0.536803\pi\)
\(588\) −2.49366 + 4.15282i −0.102837 + 0.171259i
\(589\) −9.65452 + 5.57404i −0.397807 + 0.229674i
\(590\) 12.0721 3.23472i 0.497002 0.133171i
\(591\) 16.3661 4.08546i 0.673210 0.168053i
\(592\) 1.59982 + 1.59982i 0.0657523 + 0.0657523i
\(593\) 1.54480 1.54480i 0.0634372 0.0634372i −0.674676 0.738114i \(-0.735717\pi\)
0.738114 + 0.674676i \(0.235717\pi\)
\(594\) −13.6298 26.6936i −0.559235 1.09525i
\(595\) −7.49977 + 4.32999i −0.307460 + 0.177512i
\(596\) −1.41941 5.29732i −0.0581414 0.216987i
\(597\) −0.254778 + 14.8378i −0.0104274 + 0.607271i
\(598\) −19.6820 8.39498i −0.804857 0.343296i
\(599\) 6.23611 + 3.60042i 0.254801 + 0.147109i 0.621960 0.783049i \(-0.286336\pi\)
−0.367160 + 0.930158i \(0.619670\pi\)
\(600\) −2.35266 + 0.587295i −0.0960471 + 0.0239762i
\(601\) −3.81318 + 6.60462i −0.155543 + 0.269408i −0.933257 0.359211i \(-0.883046\pi\)
0.777714 + 0.628619i \(0.216379\pi\)
\(602\) 6.07899 10.5291i 0.247761 0.429135i
\(603\) −9.37678 40.5103i −0.381852 1.64971i
\(604\) 1.68500 + 6.28851i 0.0685618 + 0.255876i
\(605\) 29.8798 29.8798i 1.21479 1.21479i
\(606\) 5.92927 1.48012i 0.240860 0.0601259i
\(607\) 20.9414 + 36.2716i 0.849987 + 1.47222i 0.881219 + 0.472708i \(0.156724\pi\)
−0.0312320 + 0.999512i \(0.509943\pi\)
\(608\) −4.36709 −0.177109
\(609\) 15.6503 15.1219i 0.634181 0.612769i
\(610\) 14.5742 8.41441i 0.590092 0.340690i
\(611\) −12.2555 16.3227i −0.495806 0.660346i
\(612\) −5.66585 3.53594i −0.229028 0.142932i
\(613\) −27.6735 7.41508i −1.11772 0.299492i −0.347760 0.937584i \(-0.613058\pi\)
−0.769961 + 0.638091i \(0.779724\pi\)
\(614\) −8.47974 4.89578i −0.342215 0.197578i
\(615\) 0.631904 36.8009i 0.0254808 1.48395i
\(616\) 3.06074 + 11.4228i 0.123321 + 0.460239i
\(617\) 2.55572 9.53809i 0.102890 0.383989i −0.895208 0.445649i \(-0.852973\pi\)
0.998097 + 0.0616601i \(0.0196395\pi\)
\(618\) −1.01225 4.05501i −0.0407187 0.163116i
\(619\) −10.1033 + 37.7062i −0.406088 + 1.51554i 0.395953 + 0.918271i \(0.370414\pi\)
−0.802041 + 0.597269i \(0.796252\pi\)
\(620\) −4.19459 2.42175i −0.168459 0.0972598i
\(621\) −30.7963 1.58765i −1.23581 0.0637102i
\(622\) 3.90582 14.5767i 0.156609 0.584473i
\(623\) 13.5658 + 23.4966i 0.543502 + 0.941373i
\(624\) 4.84755 + 3.93717i 0.194057 + 0.157613i
\(625\) −8.02002 + 13.8911i −0.320801 + 0.555644i
\(626\) 18.6883 + 18.6883i 0.746933 + 0.746933i
\(627\) 37.4047 + 22.4606i 1.49380 + 0.896988i
\(628\) 10.2454i 0.408835i
\(629\) −3.56156 3.56156i −0.142009 0.142009i
\(630\) 8.53034 7.96374i 0.339857 0.317283i
\(631\) −28.3493 + 7.59618i −1.12857 + 0.302399i −0.774346 0.632762i \(-0.781921\pi\)
−0.354223 + 0.935161i \(0.615254\pi\)
\(632\) 10.1518 + 2.72017i 0.403818 + 0.108203i
\(633\) −10.7904 19.4533i −0.428879 0.773200i
\(634\) 30.5269i 1.21238i
\(635\) −11.9878 + 11.9878i −0.475721 + 0.475721i
\(636\) −2.43922 + 4.06216i −0.0967214 + 0.161075i
\(637\) −6.22188 + 7.93514i −0.246520 + 0.314402i
\(638\) 35.3495i 1.39950i
\(639\) 5.83186 19.1140i 0.230705 0.756138i
\(640\) −0.948684 1.64317i −0.0375000 0.0649520i
\(641\) −13.5860 −0.536616 −0.268308 0.963333i \(-0.586465\pi\)
−0.268308 + 0.963333i \(0.586465\pi\)
\(642\) −22.9913 6.58559i −0.907395 0.259912i
\(643\) −18.1514 4.86366i −0.715822 0.191804i −0.117515 0.993071i \(-0.537493\pi\)
−0.598307 + 0.801267i \(0.704160\pi\)
\(644\) 11.7526 + 3.14910i 0.463117 + 0.124092i
\(645\) 14.0150 13.5418i 0.551839 0.533208i
\(646\) 9.72213 0.382512
\(647\) −11.7916 20.4237i −0.463576 0.802937i 0.535560 0.844497i \(-0.320101\pi\)
−0.999136 + 0.0415601i \(0.986767\pi\)
\(648\) 8.51299 + 2.92044i 0.334422 + 0.114726i
\(649\) 37.9947i 1.49142i
\(650\) −5.01119 + 0.606444i −0.196555 + 0.0237867i
\(651\) −9.06360 0.155630i −0.355230 0.00609962i
\(652\) 11.3728 11.3728i 0.445392 0.445392i
\(653\) 38.2655i 1.49744i 0.662884 + 0.748722i \(0.269332\pi\)
−0.662884 + 0.748722i \(0.730668\pi\)
\(654\) −20.9043 0.358946i −0.817424 0.0140359i
\(655\) −34.2222 9.16981i −1.33717 0.358294i
\(656\) −10.8182 + 2.89872i −0.422378 + 0.113176i
\(657\) −24.8965 + 5.76272i −0.971306 + 0.224825i
\(658\) 8.20700 + 8.20700i 0.319942 + 0.319942i
\(659\) 36.7491i 1.43154i −0.698335 0.715771i \(-0.746075\pi\)
0.698335 0.715771i \(-0.253925\pi\)
\(660\) −0.325443 + 18.9532i −0.0126678 + 0.737751i
\(661\) −4.17485 4.17485i −0.162383 0.162383i 0.621239 0.783621i \(-0.286630\pi\)
−0.783621 + 0.621239i \(0.786630\pi\)
\(662\) 5.26107 9.11243i 0.204477 0.354165i
\(663\) −10.7917 8.76503i −0.419116 0.340405i
\(664\) 1.39817 + 2.42170i 0.0542595 + 0.0939802i
\(665\) −4.39680 + 16.4091i −0.170501 + 0.636317i
\(666\) 5.75814 + 3.59354i 0.223123 + 0.139247i
\(667\) 31.4973 + 18.1850i 1.21958 + 0.704126i
\(668\) −1.46529 + 5.46853i −0.0566937 + 0.211584i
\(669\) −15.0342 + 14.5266i −0.581256 + 0.561631i
\(670\) −6.80652 + 25.4023i −0.262959 + 0.981375i
\(671\) 13.2413 + 49.4174i 0.511176 + 1.90774i
\(672\) −3.04436 1.82806i −0.117439 0.0705190i
\(673\) 18.5818 + 10.7282i 0.716277 + 0.413543i 0.813381 0.581732i \(-0.197625\pi\)
−0.0971040 + 0.995274i \(0.530958\pi\)
\(674\) −0.675277 0.180940i −0.0260107 0.00696955i
\(675\) −6.47888 + 3.30811i −0.249372 + 0.127329i
\(676\) 8.99795 + 9.38280i 0.346075 + 0.360877i
\(677\) 12.9054 7.45094i 0.495995 0.286363i −0.231063 0.972939i \(-0.574220\pi\)
0.727058 + 0.686576i \(0.240887\pi\)
\(678\) −15.2890 4.37936i −0.587172 0.168188i
\(679\) 12.8455 0.492967
\(680\) 2.11198 + 3.65806i 0.0809909 + 0.140280i
\(681\) −6.13035 + 21.4020i −0.234915 + 0.820127i
\(682\) 10.4118 10.4118i 0.398689 0.398689i
\(683\) 6.54752 + 24.4357i 0.250534 + 0.935005i 0.970521 + 0.241018i \(0.0774811\pi\)
−0.719987 + 0.693988i \(0.755852\pi\)
\(684\) −12.7638 + 2.95440i −0.488037 + 0.112964i
\(685\) −9.80186 + 16.9773i −0.374510 + 0.648670i
\(686\) 10.0426 17.3943i 0.383427 0.664116i
\(687\) −23.4159 24.2341i −0.893373 0.924589i
\(688\) −5.13566 2.96507i −0.195795 0.113042i
\(689\) −6.08606 + 7.76192i −0.231860 + 0.295705i
\(690\) 16.7203 + 10.0401i 0.636533 + 0.382221i
\(691\) 9.88451 + 36.8895i 0.376025 + 1.40334i 0.851842 + 0.523799i \(0.175486\pi\)
−0.475817 + 0.879544i \(0.657848\pi\)
\(692\) 9.71374 5.60823i 0.369261 0.213193i
\(693\) 16.6734 + 31.3152i 0.633370 + 1.18957i
\(694\) −16.3526 + 16.3526i −0.620737 + 0.620737i
\(695\) −25.0796 25.0796i −0.951323 0.951323i
\(696\) −7.37580 7.63353i −0.279579 0.289348i
\(697\) 24.0837 6.45320i 0.912234 0.244432i
\(698\) −2.80569 + 1.61987i −0.106197 + 0.0613129i
\(699\) 3.36400 + 6.06476i 0.127238 + 0.229390i
\(700\) 2.77247 0.742880i 0.104789 0.0280782i
\(701\) 5.62024 0.212274 0.106137 0.994352i \(-0.466152\pi\)
0.106137 + 0.994352i \(0.466152\pi\)
\(702\) 16.8316 + 8.22784i 0.635268 + 0.310540i
\(703\) −9.88050 −0.372650
\(704\) 5.57157 1.49290i 0.209986 0.0562657i
\(705\) 9.02421 + 16.2692i 0.339871 + 0.612733i
\(706\) 9.88286 5.70587i 0.371946 0.214743i
\(707\) −6.98727 + 1.87223i −0.262783 + 0.0704126i
\(708\) −7.92773 8.20474i −0.297942 0.308353i
\(709\) −6.16652 6.16652i −0.231588 0.231588i 0.581767 0.813355i \(-0.302362\pi\)
−0.813355 + 0.581767i \(0.802362\pi\)
\(710\) −8.93707 + 8.93707i −0.335402 + 0.335402i
\(711\) 31.5112 + 1.08247i 1.18176 + 0.0405958i
\(712\) 11.4607 6.61681i 0.429506 0.247976i
\(713\) −3.92100 14.6334i −0.146843 0.548024i
\(714\) 6.77744 + 4.06968i 0.253639 + 0.152304i
\(715\) −5.55977 + 39.0663i −0.207924 + 1.46100i
\(716\) 9.65551 + 5.57461i 0.360843 + 0.208333i
\(717\) −11.0426 11.4284i −0.412392 0.426801i
\(718\) −14.6525 + 25.3789i −0.546828 + 0.947133i
\(719\) 17.1214 29.6552i 0.638522 1.10595i −0.347235 0.937778i \(-0.612879\pi\)
0.985757 0.168175i \(-0.0537873\pi\)
\(720\) −3.88437 4.16074i −0.144762 0.155061i
\(721\) 1.28041 + 4.77857i 0.0476851 + 0.177963i
\(722\) 0.0505595 0.0505595i 0.00188163 0.00188163i
\(723\) −9.23457 + 32.2393i −0.343437 + 1.19899i
\(724\) −1.00780 1.74557i −0.0374547 0.0648734i
\(725\) 8.57977 0.318645
\(726\) −37.0834 10.6221i −1.37629 0.394223i
\(727\) −27.5561 + 15.9095i −1.02200 + 0.590052i −0.914683 0.404172i \(-0.867560\pi\)
−0.107318 + 0.994225i \(0.534226\pi\)
\(728\) −5.81713 4.56117i −0.215597 0.169048i
\(729\) 26.8569 + 2.77649i 0.994699 + 0.102833i
\(730\) 15.6115 + 4.18310i 0.577809 + 0.154824i
\(731\) 11.4331 + 6.60092i 0.422870 + 0.244144i
\(732\) −13.1705 7.90855i −0.486796 0.292308i
\(733\) 3.28845 + 12.2727i 0.121462 + 0.453301i 0.999689 0.0249426i \(-0.00794030\pi\)
−0.878227 + 0.478244i \(0.841274\pi\)
\(734\) −3.18428 + 11.8839i −0.117534 + 0.438643i
\(735\) 6.60951 6.38636i 0.243796 0.235565i
\(736\) 1.53599 5.73241i 0.0566175 0.211299i
\(737\) −69.2375 39.9743i −2.55040 1.47247i
\(738\) −29.6575 + 15.7908i −1.09171 + 0.581267i
\(739\) −7.36509 + 27.4869i −0.270929 + 1.01112i 0.687591 + 0.726098i \(0.258668\pi\)
−0.958521 + 0.285024i \(0.907999\pi\)
\(740\) −2.14639 3.71765i −0.0789028 0.136664i
\(741\) −27.1272 + 2.81124i −0.996543 + 0.103274i
\(742\) 2.80429 4.85717i 0.102949 0.178312i
\(743\) −18.4334 18.4334i −0.676254 0.676254i 0.282896 0.959151i \(-0.408705\pi\)
−0.959151 + 0.282896i \(0.908705\pi\)
\(744\) −0.0759096 + 4.42083i −0.00278298 + 0.162076i
\(745\) 10.4055i 0.381229i
\(746\) 20.0377 + 20.0377i 0.733633 + 0.733633i
\(747\) 5.72478 + 6.13209i 0.209459 + 0.224361i
\(748\) −12.4036 + 3.32352i −0.453519 + 0.121520i
\(749\) 27.3443 + 7.32688i 0.999138 + 0.267718i
\(750\) 21.0294 + 0.361094i 0.767887 + 0.0131853i
\(751\) 27.1909i 0.992210i 0.868263 + 0.496105i \(0.165237\pi\)
−0.868263 + 0.496105i \(0.834763\pi\)
\(752\) 4.00302 4.00302i 0.145975 0.145975i
\(753\) −26.2743 0.451152i −0.957487 0.0164409i
\(754\) −13.2672 17.6701i −0.483163 0.643506i
\(755\) 12.3525i 0.449555i
\(756\) −10.1346 3.28337i −0.368590 0.119415i
\(757\) −22.3587 38.7264i −0.812640 1.40753i −0.911010 0.412383i \(-0.864696\pi\)
0.0983707 0.995150i \(-0.468637\pi\)
\(758\) 18.1350 0.658694
\(759\) −42.6386 + 41.1990i −1.54768 + 1.49543i
\(760\) 8.00365 + 2.14457i 0.290323 + 0.0777917i
\(761\) −48.5771 13.0162i −1.76092 0.471837i −0.774018 0.633164i \(-0.781756\pi\)
−0.986901 + 0.161327i \(0.948423\pi\)
\(762\) 14.8778 + 4.26158i 0.538968 + 0.154381i
\(763\) 24.7478 0.895929
\(764\) −0.280608 0.486028i −0.0101521 0.0175839i
\(765\) 8.64748 + 9.26273i 0.312650 + 0.334895i
\(766\) 20.2117i 0.730279i
\(767\) −14.2600 18.9923i −0.514898 0.685773i
\(768\) −0.891650 + 1.48491i −0.0321747 + 0.0535821i
\(769\) 29.1868 29.1868i 1.05250