Properties

Label 126.2.h.d.67.2
Level $126$
Weight $2$
Character 126.67
Analytic conductor $1.006$
Analytic rank $0$
Dimension $6$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [126,2,Mod(67,126)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(126, base_ring=CyclotomicField(6))
 
chi = DirichletCharacter(H, H._module([2, 4]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("126.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 126 = 2 \cdot 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 126.h (of order \(3\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.00611506547\)
Analytic rank: \(0\)
Dimension: \(6\)
Relative dimension: \(3\) over \(\Q(\zeta_{3})\)
Coefficient field: 6.0.309123.1
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 67.2
Root \(0.500000 - 2.05195i\) of defining polynomial
Character \(\chi\) \(=\) 126.67
Dual form 126.2.h.d.79.2

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +O(q^{10})\) \(q+(0.500000 - 0.866025i) q^{2} +(0.796790 - 1.53790i) q^{3} +(-0.500000 - 0.866025i) q^{4} +0.593579 q^{5} +(-0.933463 - 1.45899i) q^{6} +(-0.0665372 + 2.64491i) q^{7} -1.00000 q^{8} +(-1.73025 - 2.45076i) q^{9} +(0.296790 - 0.514055i) q^{10} -0.593579 q^{11} +(-1.73025 + 0.0789082i) q^{12} +(-1.25729 + 2.17770i) q^{13} +(2.25729 + 1.38008i) q^{14} +(0.472958 - 0.912864i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(1.46050 - 2.52967i) q^{17} +(-2.98755 + 0.273062i) q^{18} +(2.69076 + 4.66053i) q^{19} +(-0.296790 - 0.514055i) q^{20} +(4.01459 + 2.20977i) q^{21} +(-0.296790 + 0.514055i) q^{22} +4.46050 q^{23} +(-0.796790 + 1.53790i) q^{24} -4.64766 q^{25} +(1.25729 + 2.17770i) q^{26} +(-5.14766 + 0.708209i) q^{27} +(2.32383 - 1.26483i) q^{28} +(-3.09718 - 5.36447i) q^{29} +(-0.554084 - 0.866025i) q^{30} +(3.93346 + 6.81296i) q^{31} +(0.500000 + 0.866025i) q^{32} +(-0.472958 + 0.912864i) q^{33} +(-1.46050 - 2.52967i) q^{34} +(-0.0394951 + 1.56997i) q^{35} +(-1.25729 + 2.72382i) q^{36} +(0.500000 + 0.866025i) q^{37} +5.38151 q^{38} +(2.34728 + 3.66876i) q^{39} -0.593579 q^{40} +(-0.136673 + 0.236725i) q^{41} +(3.92101 - 2.37185i) q^{42} +(-5.58113 - 9.66679i) q^{43} +(0.296790 + 0.514055i) q^{44} +(-1.02704 - 1.45472i) q^{45} +(2.23025 - 3.86291i) q^{46} +(-6.08113 + 10.5328i) q^{47} +(0.933463 + 1.45899i) q^{48} +(-6.99115 - 0.351971i) q^{49} +(-2.32383 + 4.02499i) q^{50} +(-2.72665 - 4.26172i) q^{51} +2.51459 q^{52} +(4.02704 - 6.97504i) q^{53} +(-1.96050 + 4.81211i) q^{54} -0.352336 q^{55} +(0.0665372 - 2.64491i) q^{56} +(9.31138 - 0.424646i) q^{57} -6.19436 q^{58} +(-4.32383 - 7.48910i) q^{59} +(-1.02704 + 0.0468383i) q^{60} +(3.32383 - 5.75705i) q^{61} +7.86693 q^{62} +(6.59718 - 4.41330i) q^{63} +1.00000 q^{64} +(-0.746304 + 1.29264i) q^{65} +(0.554084 + 0.866025i) q^{66} +(0.956906 + 1.65741i) q^{67} -2.92101 q^{68} +(3.55408 - 6.85980i) q^{69} +(1.33988 + 0.819187i) q^{70} -14.4107 q^{71} +(1.73025 + 2.45076i) q^{72} +(3.95691 - 6.85356i) q^{73} +1.00000 q^{74} +(-3.70321 + 7.14763i) q^{75} +(2.69076 - 4.66053i) q^{76} +(0.0394951 - 1.56997i) q^{77} +(4.35087 - 0.198422i) q^{78} +(4.62422 - 8.00938i) q^{79} +(-0.296790 + 0.514055i) q^{80} +(-3.01245 + 8.48087i) q^{81} +(0.136673 + 0.236725i) q^{82} +(3.85087 + 6.66991i) q^{83} +(-0.0935793 - 4.58162i) q^{84} +(0.866926 - 1.50156i) q^{85} -11.1623 q^{86} +(-10.7178 + 0.488786i) q^{87} +0.593579 q^{88} +(-6.21780 - 10.7695i) q^{89} +(-1.77335 + 0.162084i) q^{90} +(-5.67617 - 3.47033i) q^{91} +(-2.23025 - 3.86291i) q^{92} +(13.6118 - 0.620765i) q^{93} +(6.08113 + 10.5328i) q^{94} +(1.59718 + 2.76639i) q^{95} +(1.73025 - 0.0789082i) q^{96} +(5.86693 + 10.1618i) q^{97} +(-3.80039 + 5.87852i) q^{98} +(1.02704 + 1.45472i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 6 q + 3 q^{2} + 2 q^{3} - 3 q^{4} - 2 q^{5} - 2 q^{6} - 4 q^{7} - 6 q^{8} - 4 q^{9} - q^{10} + 2 q^{11} - 4 q^{12} + 8 q^{13} - 2 q^{14} + 12 q^{15} - 3 q^{16} - 4 q^{17} + 4 q^{18} - 3 q^{19} + q^{20} - 7 q^{21} + q^{22} + 14 q^{23} - 2 q^{24} - 4 q^{25} - 8 q^{26} - 7 q^{27} + 2 q^{28} - 5 q^{29} + 15 q^{30} + 20 q^{31} + 3 q^{32} - 12 q^{33} + 4 q^{34} - 13 q^{35} + 8 q^{36} + 3 q^{37} - 6 q^{38} + q^{39} + 2 q^{40} - 2 q^{42} - 6 q^{43} - q^{44} + 3 q^{45} + 7 q^{46} - 9 q^{47} + 2 q^{48} - 12 q^{49} - 2 q^{50} - 18 q^{51} - 16 q^{52} + 15 q^{53} + q^{54} - 26 q^{55} + 4 q^{56} + 22 q^{57} - 10 q^{58} - 14 q^{59} + 3 q^{60} + 8 q^{61} + 40 q^{62} + 26 q^{63} + 6 q^{64} - 12 q^{65} - 15 q^{66} + q^{67} + 8 q^{68} + 3 q^{69} + 10 q^{70} + 14 q^{71} + 4 q^{72} + 19 q^{73} + 6 q^{74} - 25 q^{75} - 3 q^{76} + 13 q^{77} + 5 q^{78} + 5 q^{79} + q^{80} - 40 q^{81} + 2 q^{83} + 5 q^{84} - 2 q^{85} - 12 q^{86} - 36 q^{87} - 2 q^{88} - 9 q^{89} - 9 q^{90} - 46 q^{91} - 7 q^{92} + 37 q^{93} + 9 q^{94} - 4 q^{95} + 4 q^{96} + 28 q^{97} - 12 q^{98} - 3 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(73\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 0.866025i 0.353553 0.612372i
\(3\) 0.796790 1.53790i 0.460027 0.887905i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) 0.593579 0.265457 0.132728 0.991152i \(-0.457626\pi\)
0.132728 + 0.991152i \(0.457626\pi\)
\(6\) −0.933463 1.45899i −0.381085 0.595630i
\(7\) −0.0665372 + 2.64491i −0.0251487 + 0.999684i
\(8\) −1.00000 −0.353553
\(9\) −1.73025 2.45076i −0.576751 0.816920i
\(10\) 0.296790 0.514055i 0.0938531 0.162558i
\(11\) −0.593579 −0.178971 −0.0894855 0.995988i \(-0.528522\pi\)
−0.0894855 + 0.995988i \(0.528522\pi\)
\(12\) −1.73025 + 0.0789082i −0.499481 + 0.0227788i
\(13\) −1.25729 + 2.17770i −0.348711 + 0.603985i −0.986021 0.166623i \(-0.946714\pi\)
0.637310 + 0.770608i \(0.280047\pi\)
\(14\) 2.25729 + 1.38008i 0.603287 + 0.368842i
\(15\) 0.472958 0.912864i 0.122117 0.235700i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 1.46050 2.52967i 0.354224 0.613535i −0.632760 0.774348i \(-0.718078\pi\)
0.986985 + 0.160813i \(0.0514116\pi\)
\(18\) −2.98755 + 0.273062i −0.704172 + 0.0643614i
\(19\) 2.69076 + 4.66053i 0.617302 + 1.06920i 0.989976 + 0.141236i \(0.0451077\pi\)
−0.372674 + 0.927962i \(0.621559\pi\)
\(20\) −0.296790 0.514055i −0.0663642 0.114946i
\(21\) 4.01459 + 2.20977i 0.876055 + 0.482211i
\(22\) −0.296790 + 0.514055i −0.0632758 + 0.109597i
\(23\) 4.46050 0.930080 0.465040 0.885290i \(-0.346040\pi\)
0.465040 + 0.885290i \(0.346040\pi\)
\(24\) −0.796790 + 1.53790i −0.162644 + 0.313922i
\(25\) −4.64766 −0.929533
\(26\) 1.25729 + 2.17770i 0.246576 + 0.427082i
\(27\) −5.14766 + 0.708209i −0.990668 + 0.136295i
\(28\) 2.32383 1.26483i 0.439163 0.239031i
\(29\) −3.09718 5.36447i −0.575132 0.996157i −0.996027 0.0890480i \(-0.971618\pi\)
0.420896 0.907109i \(-0.361716\pi\)
\(30\) −0.554084 0.866025i −0.101161 0.158114i
\(31\) 3.93346 + 6.81296i 0.706471 + 1.22364i 0.966158 + 0.257951i \(0.0830472\pi\)
−0.259687 + 0.965693i \(0.583620\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) −0.472958 + 0.912864i −0.0823314 + 0.158909i
\(34\) −1.46050 2.52967i −0.250475 0.433835i
\(35\) −0.0394951 + 1.56997i −0.00667590 + 0.265373i
\(36\) −1.25729 + 2.72382i −0.209549 + 0.453970i
\(37\) 0.500000 + 0.866025i 0.0821995 + 0.142374i 0.904194 0.427121i \(-0.140472\pi\)
−0.821995 + 0.569495i \(0.807139\pi\)
\(38\) 5.38151 0.872997
\(39\) 2.34728 + 3.66876i 0.375865 + 0.587471i
\(40\) −0.593579 −0.0938531
\(41\) −0.136673 + 0.236725i −0.0213448 + 0.0369702i −0.876500 0.481401i \(-0.840128\pi\)
0.855156 + 0.518371i \(0.173461\pi\)
\(42\) 3.92101 2.37185i 0.605025 0.365985i
\(43\) −5.58113 9.66679i −0.851114 1.47417i −0.880204 0.474596i \(-0.842594\pi\)
0.0290902 0.999577i \(-0.490739\pi\)
\(44\) 0.296790 + 0.514055i 0.0447427 + 0.0774967i
\(45\) −1.02704 1.45472i −0.153102 0.216857i
\(46\) 2.23025 3.86291i 0.328833 0.569555i
\(47\) −6.08113 + 10.5328i −0.887023 + 1.53637i −0.0436467 + 0.999047i \(0.513898\pi\)
−0.843377 + 0.537323i \(0.819436\pi\)
\(48\) 0.933463 + 1.45899i 0.134734 + 0.210587i
\(49\) −6.99115 0.351971i −0.998735 0.0502815i
\(50\) −2.32383 + 4.02499i −0.328639 + 0.569220i
\(51\) −2.72665 4.26172i −0.381808 0.596760i
\(52\) 2.51459 0.348711
\(53\) 4.02704 6.97504i 0.553157 0.958096i −0.444888 0.895586i \(-0.646756\pi\)
0.998044 0.0625092i \(-0.0199103\pi\)
\(54\) −1.96050 + 4.81211i −0.266791 + 0.654845i
\(55\) −0.352336 −0.0475090
\(56\) 0.0665372 2.64491i 0.00889141 0.353442i
\(57\) 9.31138 0.424646i 1.23332 0.0562457i
\(58\) −6.19436 −0.813359
\(59\) −4.32383 7.48910i −0.562915 0.974997i −0.997240 0.0742412i \(-0.976347\pi\)
0.434325 0.900756i \(-0.356987\pi\)
\(60\) −1.02704 + 0.0468383i −0.132591 + 0.00604680i
\(61\) 3.32383 5.75705i 0.425573 0.737114i −0.570901 0.821019i \(-0.693406\pi\)
0.996474 + 0.0839050i \(0.0267392\pi\)
\(62\) 7.86693 0.999101
\(63\) 6.59718 4.41330i 0.831166 0.556024i
\(64\) 1.00000 0.125000
\(65\) −0.746304 + 1.29264i −0.0925676 + 0.160332i
\(66\) 0.554084 + 0.866025i 0.0682031 + 0.106600i
\(67\) 0.956906 + 1.65741i 0.116905 + 0.202485i 0.918540 0.395329i \(-0.129369\pi\)
−0.801635 + 0.597814i \(0.796036\pi\)
\(68\) −2.92101 −0.354224
\(69\) 3.55408 6.85980i 0.427861 0.825822i
\(70\) 1.33988 + 0.819187i 0.160147 + 0.0979116i
\(71\) −14.4107 −1.71023 −0.855117 0.518435i \(-0.826515\pi\)
−0.855117 + 0.518435i \(0.826515\pi\)
\(72\) 1.73025 + 2.45076i 0.203912 + 0.288825i
\(73\) 3.95691 6.85356i 0.463121 0.802149i −0.535994 0.844222i \(-0.680063\pi\)
0.999115 + 0.0420732i \(0.0133963\pi\)
\(74\) 1.00000 0.116248
\(75\) −3.70321 + 7.14763i −0.427610 + 0.825337i
\(76\) 2.69076 4.66053i 0.308651 0.534599i
\(77\) 0.0394951 1.56997i 0.00450089 0.178914i
\(78\) 4.35087 0.198422i 0.492639 0.0224668i
\(79\) 4.62422 8.00938i 0.520265 0.901126i −0.479457 0.877565i \(-0.659166\pi\)
0.999722 0.0235607i \(-0.00750031\pi\)
\(80\) −0.296790 + 0.514055i −0.0331821 + 0.0574731i
\(81\) −3.01245 + 8.48087i −0.334717 + 0.942319i
\(82\) 0.136673 + 0.236725i 0.0150930 + 0.0261419i
\(83\) 3.85087 + 6.66991i 0.422688 + 0.732118i 0.996201 0.0870787i \(-0.0277532\pi\)
−0.573513 + 0.819196i \(0.694420\pi\)
\(84\) −0.0935793 4.58162i −0.0102103 0.499896i
\(85\) 0.866926 1.50156i 0.0940313 0.162867i
\(86\) −11.1623 −1.20366
\(87\) −10.7178 + 0.488786i −1.14907 + 0.0524033i
\(88\) 0.593579 0.0632758
\(89\) −6.21780 10.7695i −0.659085 1.14157i −0.980853 0.194751i \(-0.937610\pi\)
0.321767 0.946819i \(-0.395723\pi\)
\(90\) −1.77335 + 0.162084i −0.186927 + 0.0170852i
\(91\) −5.67617 3.47033i −0.595024 0.363790i
\(92\) −2.23025 3.86291i −0.232520 0.402736i
\(93\) 13.6118 0.620765i 1.41147 0.0643704i
\(94\) 6.08113 + 10.5328i 0.627220 + 1.08638i
\(95\) 1.59718 + 2.76639i 0.163867 + 0.283826i
\(96\) 1.73025 0.0789082i 0.176593 0.00805354i
\(97\) 5.86693 + 10.1618i 0.595696 + 1.03178i 0.993448 + 0.114283i \(0.0364570\pi\)
−0.397752 + 0.917493i \(0.630210\pi\)
\(98\) −3.80039 + 5.87852i −0.383897 + 0.593821i
\(99\) 1.02704 + 1.45472i 0.103222 + 0.146205i
\(100\) 2.32383 + 4.02499i 0.232383 + 0.402499i
\(101\) −1.62276 −0.161470 −0.0807352 0.996736i \(-0.525727\pi\)
−0.0807352 + 0.996736i \(0.525727\pi\)
\(102\) −5.05408 + 0.230492i −0.500429 + 0.0228221i
\(103\) 6.38151 0.628789 0.314395 0.949292i \(-0.398198\pi\)
0.314395 + 0.949292i \(0.398198\pi\)
\(104\) 1.25729 2.17770i 0.123288 0.213541i
\(105\) 2.38298 + 1.31167i 0.232555 + 0.128006i
\(106\) −4.02704 6.97504i −0.391141 0.677476i
\(107\) 9.35447 + 16.2024i 0.904331 + 1.56635i 0.821813 + 0.569758i \(0.192963\pi\)
0.0825182 + 0.996590i \(0.473704\pi\)
\(108\) 3.18716 + 4.10390i 0.306684 + 0.394898i
\(109\) −1.43346 + 2.48283i −0.137301 + 0.237812i −0.926474 0.376359i \(-0.877176\pi\)
0.789173 + 0.614171i \(0.210509\pi\)
\(110\) −0.176168 + 0.305132i −0.0167970 + 0.0290932i
\(111\) 1.73025 0.0789082i 0.164228 0.00748964i
\(112\) −2.25729 1.38008i −0.213294 0.130405i
\(113\) −6.16012 + 10.6696i −0.579495 + 1.00371i 0.416042 + 0.909345i \(0.363417\pi\)
−0.995537 + 0.0943695i \(0.969916\pi\)
\(114\) 4.28794 8.27621i 0.401602 0.775138i
\(115\) 2.64766 0.246896
\(116\) −3.09718 + 5.36447i −0.287566 + 0.498078i
\(117\) 7.51245 0.686640i 0.694527 0.0634799i
\(118\) −8.64766 −0.796082
\(119\) 6.59358 + 4.03123i 0.604432 + 0.369542i
\(120\) −0.472958 + 0.912864i −0.0431750 + 0.0833327i
\(121\) −10.6477 −0.967969
\(122\) −3.32383 5.75705i −0.300926 0.521218i
\(123\) 0.255158 + 0.398809i 0.0230069 + 0.0359594i
\(124\) 3.93346 6.81296i 0.353235 0.611822i
\(125\) −5.72665 −0.512207
\(126\) −0.523443 7.91998i −0.0466321 0.705567i
\(127\) 12.3346 1.09452 0.547261 0.836962i \(-0.315671\pi\)
0.547261 + 0.836962i \(0.315671\pi\)
\(128\) 0.500000 0.866025i 0.0441942 0.0765466i
\(129\) −19.3135 + 0.880794i −1.70046 + 0.0775496i
\(130\) 0.746304 + 1.29264i 0.0654552 + 0.113372i
\(131\) −1.18716 −0.103723 −0.0518613 0.998654i \(-0.516515\pi\)
−0.0518613 + 0.998654i \(0.516515\pi\)
\(132\) 1.02704 0.0468383i 0.0893925 0.00407675i
\(133\) −12.5057 + 6.80672i −1.08438 + 0.590218i
\(134\) 1.91381 0.165328
\(135\) −3.05555 + 0.420378i −0.262980 + 0.0361804i
\(136\) −1.46050 + 2.52967i −0.125237 + 0.216917i
\(137\) 2.52179 0.215451 0.107725 0.994181i \(-0.465643\pi\)
0.107725 + 0.994181i \(0.465643\pi\)
\(138\) −4.16372 6.50783i −0.354439 0.553983i
\(139\) 2.45691 4.25549i 0.208392 0.360946i −0.742816 0.669496i \(-0.766510\pi\)
0.951208 + 0.308550i \(0.0998437\pi\)
\(140\) 1.37938 0.750780i 0.116579 0.0634525i
\(141\) 11.3530 + 17.7446i 0.956096 + 1.49436i
\(142\) −7.20535 + 12.4800i −0.604659 + 1.04730i
\(143\) 0.746304 1.29264i 0.0624091 0.108096i
\(144\) 2.98755 0.273062i 0.248962 0.0227552i
\(145\) −1.83842 3.18424i −0.152673 0.264437i
\(146\) −3.95691 6.85356i −0.327476 0.567205i
\(147\) −6.11177 + 10.4712i −0.504090 + 0.863651i
\(148\) 0.500000 0.866025i 0.0410997 0.0711868i
\(149\) 18.0512 1.47881 0.739404 0.673262i \(-0.235107\pi\)
0.739404 + 0.673262i \(0.235107\pi\)
\(150\) 4.33842 + 6.78089i 0.354231 + 0.553657i
\(151\) 1.64766 0.134085 0.0670425 0.997750i \(-0.478644\pi\)
0.0670425 + 0.997750i \(0.478644\pi\)
\(152\) −2.69076 4.66053i −0.218249 0.378019i
\(153\) −8.72665 + 0.797618i −0.705508 + 0.0644836i
\(154\) −1.33988 0.819187i −0.107971 0.0660120i
\(155\) 2.33482 + 4.04403i 0.187537 + 0.324824i
\(156\) 2.00360 3.86718i 0.160416 0.309622i
\(157\) 3.30039 + 5.71644i 0.263400 + 0.456222i 0.967143 0.254233i \(-0.0818229\pi\)
−0.703743 + 0.710454i \(0.748490\pi\)
\(158\) −4.62422 8.00938i −0.367883 0.637192i
\(159\) −7.51819 11.7508i −0.596231 0.931900i
\(160\) 0.296790 + 0.514055i 0.0234633 + 0.0406396i
\(161\) −0.296790 + 11.7977i −0.0233903 + 0.929785i
\(162\) 5.83842 + 6.84929i 0.458710 + 0.538131i
\(163\) −2.99115 5.18082i −0.234285 0.405793i 0.724780 0.688980i \(-0.241941\pi\)
−0.959065 + 0.283188i \(0.908608\pi\)
\(164\) 0.273346 0.0213448
\(165\) −0.280738 + 0.541857i −0.0218554 + 0.0421835i
\(166\) 7.70175 0.597772
\(167\) 3.73025 6.46099i 0.288656 0.499966i −0.684833 0.728700i \(-0.740125\pi\)
0.973489 + 0.228733i \(0.0734584\pi\)
\(168\) −4.01459 2.20977i −0.309732 0.170487i
\(169\) 3.33842 + 5.78231i 0.256802 + 0.444793i
\(170\) −0.866926 1.50156i −0.0664902 0.115164i
\(171\) 6.76615 14.6583i 0.517420 1.12095i
\(172\) −5.58113 + 9.66679i −0.425557 + 0.737086i
\(173\) 12.8296 22.2215i 0.975414 1.68947i 0.296851 0.954924i \(-0.404063\pi\)
0.678562 0.734543i \(-0.262603\pi\)
\(174\) −4.93560 + 9.52628i −0.374167 + 0.722185i
\(175\) 0.309243 12.2927i 0.0233766 0.929239i
\(176\) 0.296790 0.514055i 0.0223714 0.0387483i
\(177\) −14.9626 + 0.682372i −1.12466 + 0.0512902i
\(178\) −12.4356 −0.932088
\(179\) 7.51819 13.0219i 0.561936 0.973301i −0.435392 0.900241i \(-0.643390\pi\)
0.997328 0.0730602i \(-0.0232765\pi\)
\(180\) −0.746304 + 1.61680i −0.0556262 + 0.120510i
\(181\) −0.0861875 −0.00640627 −0.00320313 0.999995i \(-0.501020\pi\)
−0.00320313 + 0.999995i \(0.501020\pi\)
\(182\) −5.84348 + 3.18054i −0.433148 + 0.235757i
\(183\) −6.20535 9.69886i −0.458712 0.716961i
\(184\) −4.46050 −0.328833
\(185\) 0.296790 + 0.514055i 0.0218204 + 0.0377941i
\(186\) 6.26829 12.0985i 0.459613 0.887106i
\(187\) −0.866926 + 1.50156i −0.0633959 + 0.109805i
\(188\) 12.1623 0.887023
\(189\) −1.53064 13.6623i −0.111338 0.993783i
\(190\) 3.19436 0.231743
\(191\) −1.99115 + 3.44877i −0.144074 + 0.249544i −0.929027 0.370011i \(-0.879354\pi\)
0.784953 + 0.619555i \(0.212687\pi\)
\(192\) 0.796790 1.53790i 0.0575033 0.110988i
\(193\) −3.39037 5.87229i −0.244044 0.422697i 0.717818 0.696230i \(-0.245141\pi\)
−0.961862 + 0.273534i \(0.911808\pi\)
\(194\) 11.7339 0.842441
\(195\) 1.39329 + 2.17770i 0.0997759 + 0.155948i
\(196\) 3.19076 + 6.23049i 0.227911 + 0.445035i
\(197\) 11.0584 0.787875 0.393938 0.919137i \(-0.371113\pi\)
0.393938 + 0.919137i \(0.371113\pi\)
\(198\) 1.77335 0.162084i 0.126026 0.0115188i
\(199\) 2.80924 4.86575i 0.199142 0.344924i −0.749109 0.662447i \(-0.769518\pi\)
0.948250 + 0.317523i \(0.102851\pi\)
\(200\) 4.64766 0.328639
\(201\) 3.31138 0.151016i 0.233567 0.0106518i
\(202\) −0.811379 + 1.40535i −0.0570884 + 0.0988800i
\(203\) 14.3946 7.83483i 1.01031 0.549898i
\(204\) −2.32743 + 4.49221i −0.162953 + 0.314518i
\(205\) −0.0811263 + 0.140515i −0.00566611 + 0.00981399i
\(206\) 3.19076 5.52655i 0.222311 0.385053i
\(207\) −7.71780 10.9316i −0.536424 0.759801i
\(208\) −1.25729 2.17770i −0.0871777 0.150996i
\(209\) −1.59718 2.76639i −0.110479 0.191355i
\(210\) 2.32743 1.40788i 0.160608 0.0971531i
\(211\) 9.66225 16.7355i 0.665177 1.15212i −0.314060 0.949403i \(-0.601689\pi\)
0.979237 0.202717i \(-0.0649772\pi\)
\(212\) −8.05408 −0.553157
\(213\) −11.4823 + 22.1622i −0.786754 + 1.51853i
\(214\) 18.7089 1.27892
\(215\) −3.31284 5.73801i −0.225934 0.391329i
\(216\) 5.14766 0.708209i 0.350254 0.0481875i
\(217\) −18.2814 + 9.95036i −1.24102 + 0.675474i
\(218\) 1.43346 + 2.48283i 0.0970863 + 0.168158i
\(219\) −7.38725 11.5462i −0.499184 0.780217i
\(220\) 0.176168 + 0.305132i 0.0118773 + 0.0205720i
\(221\) 3.67257 + 6.36108i 0.247044 + 0.427892i
\(222\) 0.796790 1.53790i 0.0534770 0.103217i
\(223\) 12.6623 + 21.9317i 0.847927 + 1.46865i 0.883055 + 0.469270i \(0.155483\pi\)
−0.0351275 + 0.999383i \(0.511184\pi\)
\(224\) −2.32383 + 1.26483i −0.155268 + 0.0845103i
\(225\) 8.04163 + 11.3903i 0.536109 + 0.759354i
\(226\) 6.16012 + 10.6696i 0.409765 + 0.709734i
\(227\) 4.81711 0.319723 0.159862 0.987139i \(-0.448895\pi\)
0.159862 + 0.987139i \(0.448895\pi\)
\(228\) −5.02344 7.85157i −0.332686 0.519983i
\(229\) −9.29533 −0.614253 −0.307126 0.951669i \(-0.599367\pi\)
−0.307126 + 0.951669i \(0.599367\pi\)
\(230\) 1.32383 2.29294i 0.0872909 0.151192i
\(231\) −2.38298 1.31167i −0.156788 0.0863017i
\(232\) 3.09718 + 5.36447i 0.203340 + 0.352195i
\(233\) 0.0971780 + 0.168317i 0.00636634 + 0.0110268i 0.869191 0.494476i \(-0.164640\pi\)
−0.862825 + 0.505503i \(0.831307\pi\)
\(234\) 3.16158 6.84929i 0.206679 0.447752i
\(235\) −3.60963 + 6.25206i −0.235466 + 0.407840i
\(236\) −4.32383 + 7.48910i −0.281457 + 0.487499i
\(237\) −8.63307 13.4934i −0.560778 0.876488i
\(238\) 6.78794 3.69459i 0.439996 0.239485i
\(239\) −6.82743 + 11.8255i −0.441630 + 0.764925i −0.997811 0.0661361i \(-0.978933\pi\)
0.556181 + 0.831061i \(0.312266\pi\)
\(240\) 0.554084 + 0.866025i 0.0357660 + 0.0559017i
\(241\) −13.0000 −0.837404 −0.418702 0.908124i \(-0.637515\pi\)
−0.418702 + 0.908124i \(0.637515\pi\)
\(242\) −5.32383 + 9.22115i −0.342229 + 0.592758i
\(243\) 10.6424 + 11.3903i 0.682711 + 0.730689i
\(244\) −6.64766 −0.425573
\(245\) −4.14980 0.208922i −0.265121 0.0133476i
\(246\) 0.472958 0.0215693i 0.0301547 0.00137521i
\(247\) −13.5323 −0.861039
\(248\) −3.93346 6.81296i −0.249775 0.432623i
\(249\) 13.3260 0.607731i 0.844499 0.0385134i
\(250\) −2.86333 + 4.95943i −0.181093 + 0.313662i
\(251\) −19.5438 −1.23359 −0.616796 0.787123i \(-0.711570\pi\)
−0.616796 + 0.787123i \(0.711570\pi\)
\(252\) −7.12062 3.50667i −0.448557 0.220900i
\(253\) −2.64766 −0.166457
\(254\) 6.16731 10.6821i 0.386972 0.670255i
\(255\) −1.61849 2.52967i −0.101353 0.158414i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 8.32743 0.519451 0.259725 0.965683i \(-0.416368\pi\)
0.259725 + 0.965683i \(0.416368\pi\)
\(258\) −8.89397 + 17.1664i −0.553714 + 1.06873i
\(259\) −2.32383 + 1.26483i −0.144396 + 0.0785930i
\(260\) 1.49261 0.0925676
\(261\) −7.78813 + 16.8723i −0.482073 + 1.04437i
\(262\) −0.593579 + 1.02811i −0.0366715 + 0.0635168i
\(263\) −17.0905 −1.05384 −0.526921 0.849914i \(-0.676654\pi\)
−0.526921 + 0.849914i \(0.676654\pi\)
\(264\) 0.472958 0.912864i 0.0291085 0.0561829i
\(265\) 2.39037 4.14024i 0.146839 0.254333i
\(266\) −0.358071 + 14.2336i −0.0219547 + 0.872721i
\(267\) −21.5167 + 0.981271i −1.31680 + 0.0600528i
\(268\) 0.956906 1.65741i 0.0584524 0.101242i
\(269\) −5.00720 + 8.67272i −0.305294 + 0.528785i −0.977327 0.211737i \(-0.932088\pi\)
0.672033 + 0.740522i \(0.265421\pi\)
\(270\) −1.16372 + 2.85637i −0.0708215 + 0.173833i
\(271\) 5.10457 + 8.84137i 0.310081 + 0.537075i 0.978380 0.206818i \(-0.0663106\pi\)
−0.668299 + 0.743893i \(0.732977\pi\)
\(272\) 1.46050 + 2.52967i 0.0885561 + 0.153384i
\(273\) −9.85973 + 5.96423i −0.596738 + 0.360972i
\(274\) 1.26089 2.18393i 0.0761733 0.131936i
\(275\) 2.75876 0.166359
\(276\) −7.71780 + 0.351971i −0.464557 + 0.0211861i
\(277\) 19.3422 1.16216 0.581081 0.813846i \(-0.302630\pi\)
0.581081 + 0.813846i \(0.302630\pi\)
\(278\) −2.45691 4.25549i −0.147355 0.255227i
\(279\) 9.89104 21.4281i 0.592161 1.28287i
\(280\) 0.0394951 1.56997i 0.00236029 0.0938235i
\(281\) −6.40136 11.0875i −0.381873 0.661424i 0.609457 0.792819i \(-0.291388\pi\)
−0.991330 + 0.131396i \(0.958054\pi\)
\(282\) 21.0438 0.959702i 1.25314 0.0571494i
\(283\) 8.17617 + 14.1615i 0.486023 + 0.841816i 0.999871 0.0160650i \(-0.00511388\pi\)
−0.513848 + 0.857881i \(0.671781\pi\)
\(284\) 7.20535 + 12.4800i 0.427559 + 0.740553i
\(285\) 5.52704 0.252061i 0.327394 0.0149308i
\(286\) −0.746304 1.29264i −0.0441299 0.0764352i
\(287\) −0.617023 0.377240i −0.0364217 0.0222678i
\(288\) 1.25729 2.72382i 0.0740868 0.160503i
\(289\) 4.23385 + 7.33325i 0.249050 + 0.431367i
\(290\) −3.67684 −0.215912
\(291\) 20.3025 0.925898i 1.19016 0.0542771i
\(292\) −7.91381 −0.463121
\(293\) −10.3889 + 17.9941i −0.606926 + 1.05123i 0.384817 + 0.922993i \(0.374264\pi\)
−0.991744 + 0.128235i \(0.959069\pi\)
\(294\) 6.01245 + 10.5286i 0.350653 + 0.614038i
\(295\) −2.56654 4.44537i −0.149430 0.258820i
\(296\) −0.500000 0.866025i −0.0290619 0.0503367i
\(297\) 3.05555 0.420378i 0.177301 0.0243928i
\(298\) 9.02558 15.6328i 0.522838 0.905582i
\(299\) −5.60817 + 9.71363i −0.324329 + 0.561754i
\(300\) 8.04163 0.366739i 0.464284 0.0211737i
\(301\) 25.9392 14.1184i 1.49511 0.813771i
\(302\) 0.823832 1.42692i 0.0474062 0.0821099i
\(303\) −1.29300 + 2.49563i −0.0742807 + 0.143370i
\(304\) −5.38151 −0.308651
\(305\) 1.97296 3.41726i 0.112971 0.195672i
\(306\) −3.67257 + 7.95631i −0.209947 + 0.454832i
\(307\) −22.6768 −1.29424 −0.647118 0.762390i \(-0.724026\pi\)
−0.647118 + 0.762390i \(0.724026\pi\)
\(308\) −1.37938 + 0.750780i −0.0785974 + 0.0427796i
\(309\) 5.08472 9.81411i 0.289260 0.558305i
\(310\) 4.66964 0.265218
\(311\) 3.25729 + 5.64180i 0.184704 + 0.319917i 0.943477 0.331439i \(-0.107534\pi\)
−0.758773 + 0.651356i \(0.774201\pi\)
\(312\) −2.34728 3.66876i −0.132888 0.207702i
\(313\) −0.133074 + 0.230492i −0.00752181 + 0.0130282i −0.869762 0.493472i \(-0.835728\pi\)
0.862240 + 0.506500i \(0.169061\pi\)
\(314\) 6.60078 0.372503
\(315\) 3.91595 2.61965i 0.220639 0.147600i
\(316\) −9.24844 −0.520265
\(317\) −7.86186 + 13.6171i −0.441566 + 0.764815i −0.997806 0.0662067i \(-0.978910\pi\)
0.556240 + 0.831022i \(0.312244\pi\)
\(318\) −13.9356 + 0.635534i −0.781470 + 0.0356390i
\(319\) 1.83842 + 3.18424i 0.102932 + 0.178283i
\(320\) 0.593579 0.0331821
\(321\) 32.3712 1.47629i 1.80678 0.0823985i
\(322\) 10.0687 + 6.15585i 0.561105 + 0.343052i
\(323\) 15.7195 0.874654
\(324\) 8.85087 1.63157i 0.491715 0.0906430i
\(325\) 5.84348 10.1212i 0.324138 0.561424i
\(326\) −5.98229 −0.331328
\(327\) 2.67617 + 4.18281i 0.147992 + 0.231310i
\(328\) 0.136673 0.236725i 0.00754651 0.0130709i
\(329\) −27.4538 16.7849i −1.51358 0.925381i
\(330\) 0.328893 + 0.514055i 0.0181050 + 0.0282978i
\(331\) 12.5811 21.7912i 0.691521 1.19775i −0.279818 0.960053i \(-0.590274\pi\)
0.971339 0.237697i \(-0.0763925\pi\)
\(332\) 3.85087 6.66991i 0.211344 0.366059i
\(333\) 1.25729 2.72382i 0.0688993 0.149265i
\(334\) −3.73025 6.46099i −0.204110 0.353529i
\(335\) 0.568000 + 0.983804i 0.0310331 + 0.0537510i
\(336\) −3.92101 + 2.37185i −0.213909 + 0.129395i
\(337\) −9.36693 + 16.2240i −0.510249 + 0.883777i 0.489681 + 0.871902i \(0.337113\pi\)
−0.999929 + 0.0118752i \(0.996220\pi\)
\(338\) 6.67684 0.363172
\(339\) 11.5005 + 17.9751i 0.624620 + 0.976272i
\(340\) −1.73385 −0.0940313
\(341\) −2.33482 4.04403i −0.126438 0.218997i
\(342\) −9.31138 13.1888i −0.503502 0.713169i
\(343\) 1.39610 18.4676i 0.0753825 0.997155i
\(344\) 5.58113 + 9.66679i 0.300914 + 0.521199i
\(345\) 2.10963 4.07183i 0.113579 0.219220i
\(346\) −12.8296 22.2215i −0.689722 1.19463i
\(347\) −11.2719 19.5235i −0.605106 1.04808i −0.992035 0.125965i \(-0.959797\pi\)
0.386928 0.922110i \(-0.373536\pi\)
\(348\) 5.78220 + 9.03749i 0.309958 + 0.484461i
\(349\) 1.89543 + 3.28298i 0.101460 + 0.175734i 0.912286 0.409553i \(-0.134315\pi\)
−0.810826 + 0.585287i \(0.800982\pi\)
\(350\) −10.4911 6.41415i −0.560775 0.342851i
\(351\) 4.92986 12.1005i 0.263137 0.645876i
\(352\) −0.296790 0.514055i −0.0158189 0.0273992i
\(353\) 6.83482 0.363781 0.181890 0.983319i \(-0.441778\pi\)
0.181890 + 0.983319i \(0.441778\pi\)
\(354\) −6.89037 + 13.2992i −0.366219 + 0.706845i
\(355\) −8.55389 −0.453993
\(356\) −6.21780 + 10.7695i −0.329543 + 0.570785i
\(357\) 11.4533 6.92820i 0.606173 0.366679i
\(358\) −7.51819 13.0219i −0.397349 0.688228i
\(359\) −6.32237 10.9507i −0.333682 0.577954i 0.649549 0.760320i \(-0.274958\pi\)
−0.983231 + 0.182366i \(0.941624\pi\)
\(360\) 1.02704 + 1.45472i 0.0541299 + 0.0766705i
\(361\) −4.98035 + 8.62622i −0.262124 + 0.454012i
\(362\) −0.0430937 + 0.0746406i −0.00226496 + 0.00392302i
\(363\) −8.48395 + 16.3750i −0.445292 + 0.859465i
\(364\) −0.167314 + 6.65087i −0.00876963 + 0.348600i
\(365\) 2.34874 4.06813i 0.122939 0.212936i
\(366\) −11.5021 + 0.524555i −0.601226 + 0.0274190i
\(367\) 6.54377 0.341582 0.170791 0.985307i \(-0.445368\pi\)
0.170791 + 0.985307i \(0.445368\pi\)
\(368\) −2.23025 + 3.86291i −0.116260 + 0.201368i
\(369\) 0.816635 0.0746406i 0.0425123 0.00388563i
\(370\) 0.593579 0.0308587
\(371\) 18.1804 + 11.1153i 0.943881 + 0.577077i
\(372\) −7.34348 11.4778i −0.380742 0.595094i
\(373\) 9.42840 0.488184 0.244092 0.969752i \(-0.421510\pi\)
0.244092 + 0.969752i \(0.421510\pi\)
\(374\) 0.866926 + 1.50156i 0.0448277 + 0.0776438i
\(375\) −4.56294 + 8.80700i −0.235629 + 0.454792i
\(376\) 6.08113 10.5328i 0.313610 0.543189i
\(377\) 15.5763 0.802218
\(378\) −12.5972 5.50555i −0.647929 0.283175i
\(379\) −7.27762 −0.373826 −0.186913 0.982376i \(-0.559848\pi\)
−0.186913 + 0.982376i \(0.559848\pi\)
\(380\) 1.59718 2.76639i 0.0819335 0.141913i
\(381\) 9.82810 18.9694i 0.503509 0.971831i
\(382\) 1.99115 + 3.44877i 0.101876 + 0.176454i
\(383\) −24.0833 −1.23060 −0.615299 0.788294i \(-0.710965\pi\)
−0.615299 + 0.788294i \(0.710965\pi\)
\(384\) −0.933463 1.45899i −0.0476356 0.0744537i
\(385\) 0.0234435 0.931900i 0.00119479 0.0474940i
\(386\) −6.78074 −0.345130
\(387\) −14.0342 + 30.4040i −0.713400 + 1.54552i
\(388\) 5.86693 10.1618i 0.297848 0.515888i
\(389\) −16.2983 −0.826354 −0.413177 0.910651i \(-0.635581\pi\)
−0.413177 + 0.910651i \(0.635581\pi\)
\(390\) 2.58259 0.117779i 0.130774 0.00596398i
\(391\) 6.51459 11.2836i 0.329457 0.570636i
\(392\) 6.99115 + 0.351971i 0.353106 + 0.0177772i
\(393\) −0.945916 + 1.82573i −0.0477151 + 0.0920958i
\(394\) 5.52918 9.57682i 0.278556 0.482473i
\(395\) 2.74484 4.75420i 0.138108 0.239210i
\(396\) 0.746304 1.61680i 0.0375032 0.0812475i
\(397\) −6.08619 10.5416i −0.305457 0.529067i 0.671906 0.740636i \(-0.265476\pi\)
−0.977363 + 0.211569i \(0.932143\pi\)
\(398\) −2.80924 4.86575i −0.140815 0.243898i
\(399\) 0.503599 + 24.6561i 0.0252115 + 1.23435i
\(400\) 2.32383 4.02499i 0.116192 0.201250i
\(401\) −33.3609 −1.66596 −0.832981 0.553301i \(-0.813368\pi\)
−0.832981 + 0.553301i \(0.813368\pi\)
\(402\) 1.52491 2.94325i 0.0760554 0.146796i
\(403\) −19.7821 −0.985416
\(404\) 0.811379 + 1.40535i 0.0403676 + 0.0699187i
\(405\) −1.78813 + 5.03407i −0.0888529 + 0.250145i
\(406\) 0.412155 16.3835i 0.0204549 0.813102i
\(407\) −0.296790 0.514055i −0.0147113 0.0254808i
\(408\) 2.72665 + 4.26172i 0.134989 + 0.210987i
\(409\) 2.89037 + 5.00627i 0.142920 + 0.247544i 0.928595 0.371095i \(-0.121018\pi\)
−0.785675 + 0.618639i \(0.787684\pi\)
\(410\) 0.0811263 + 0.140515i 0.00400654 + 0.00693954i
\(411\) 2.00933 3.87825i 0.0991131 0.191300i
\(412\) −3.19076 5.52655i −0.157197 0.272274i
\(413\) 20.0957 10.9379i 0.988846 0.538217i
\(414\) −13.3260 + 1.21800i −0.654936 + 0.0598612i
\(415\) 2.28580 + 3.95912i 0.112205 + 0.194346i
\(416\) −2.51459 −0.123288
\(417\) −4.58686 7.16920i −0.224620 0.351077i
\(418\) −3.19436 −0.156241
\(419\) 15.4356 26.7352i 0.754078 1.30610i −0.191753 0.981443i \(-0.561417\pi\)
0.945831 0.324659i \(-0.105249\pi\)
\(420\) −0.0555468 2.71956i −0.00271040 0.132701i
\(421\) −1.86693 3.23361i −0.0909884 0.157597i 0.816939 0.576724i \(-0.195669\pi\)
−0.907927 + 0.419128i \(0.862336\pi\)
\(422\) −9.66225 16.7355i −0.470351 0.814672i
\(423\) 36.3353 3.32105i 1.76668 0.161475i
\(424\) −4.02704 + 6.97504i −0.195570 + 0.338738i
\(425\) −6.78794 + 11.7570i −0.329263 + 0.570301i
\(426\) 13.4518 + 21.0250i 0.651744 + 1.01867i
\(427\) 15.0057 + 9.17431i 0.726178 + 0.443976i
\(428\) 9.35447 16.2024i 0.452165 0.783174i
\(429\) −1.39329 2.17770i −0.0672689 0.105140i
\(430\) −6.62568 −0.319519
\(431\) −14.0979 + 24.4182i −0.679070 + 1.17618i 0.296192 + 0.955128i \(0.404283\pi\)
−0.975261 + 0.221055i \(0.929050\pi\)
\(432\) 1.96050 4.81211i 0.0943248 0.231523i
\(433\) 12.5438 0.602815 0.301407 0.953495i \(-0.402544\pi\)
0.301407 + 0.953495i \(0.402544\pi\)
\(434\) −0.523443 + 20.8073i −0.0251261 + 0.998785i
\(435\) −6.36186 + 0.290133i −0.305028 + 0.0139108i
\(436\) 2.86693 0.137301
\(437\) 12.0021 + 20.7883i 0.574140 + 0.994440i
\(438\) −13.6929 + 0.624465i −0.654272 + 0.0298381i
\(439\) −13.0203 + 22.5519i −0.621426 + 1.07634i 0.367794 + 0.929907i \(0.380113\pi\)
−0.989220 + 0.146434i \(0.953220\pi\)
\(440\) 0.352336 0.0167970
\(441\) 11.2339 + 17.7426i 0.534945 + 0.844887i
\(442\) 7.34514 0.349373
\(443\) 11.7865 20.4148i 0.559992 0.969935i −0.437504 0.899216i \(-0.644137\pi\)
0.997496 0.0707186i \(-0.0225292\pi\)
\(444\) −0.933463 1.45899i −0.0443002 0.0692405i
\(445\) −3.69076 6.39258i −0.174959 0.303037i
\(446\) 25.3245 1.19915
\(447\) 14.3830 27.7608i 0.680291 1.31304i
\(448\) −0.0665372 + 2.64491i −0.00314359 + 0.124960i
\(449\) 13.6870 0.645928 0.322964 0.946411i \(-0.395321\pi\)
0.322964 + 0.946411i \(0.395321\pi\)
\(450\) 13.8851 1.26910i 0.654551 0.0598260i
\(451\) 0.0811263 0.140515i 0.00382009 0.00661659i
\(452\) 12.3202 0.579495
\(453\) 1.31284 2.53394i 0.0616827 0.119055i
\(454\) 2.40856 4.17174i 0.113039 0.195790i
\(455\) −3.36926 2.05992i −0.157953 0.0965705i
\(456\) −9.31138 + 0.424646i −0.436045 + 0.0198859i
\(457\) 11.1762 19.3577i 0.522799 0.905515i −0.476849 0.878985i \(-0.658221\pi\)
0.999648 0.0265293i \(-0.00844554\pi\)
\(458\) −4.64766 + 8.04999i −0.217171 + 0.376151i
\(459\) −5.72665 + 14.0562i −0.267297 + 0.656088i
\(460\) −1.32383 2.29294i −0.0617240 0.106909i
\(461\) −3.98755 6.90663i −0.185719 0.321674i 0.758100 0.652138i \(-0.226128\pi\)
−0.943818 + 0.330464i \(0.892795\pi\)
\(462\) −2.32743 + 1.40788i −0.108282 + 0.0655006i
\(463\) −14.3676 + 24.8854i −0.667719 + 1.15652i 0.310821 + 0.950468i \(0.399396\pi\)
−0.978540 + 0.206055i \(0.933937\pi\)
\(464\) 6.19436 0.287566
\(465\) 8.07966 0.368473i 0.374685 0.0170875i
\(466\) 0.194356 0.00900336
\(467\) 16.7829 + 29.0688i 0.776619 + 1.34514i 0.933880 + 0.357586i \(0.116400\pi\)
−0.157261 + 0.987557i \(0.550267\pi\)
\(468\) −4.35087 6.16266i −0.201119 0.284869i
\(469\) −4.44738 + 2.42066i −0.205361 + 0.111775i
\(470\) 3.60963 + 6.25206i 0.166500 + 0.288386i
\(471\) 11.4210 0.520856i 0.526252 0.0239998i
\(472\) 4.32383 + 7.48910i 0.199020 + 0.344714i
\(473\) 3.31284 + 5.73801i 0.152325 + 0.263834i
\(474\) −16.0021 + 0.729778i −0.735002 + 0.0335198i
\(475\) −12.5057 21.6606i −0.573802 0.993855i
\(476\) 0.194356 7.72582i 0.00890829 0.354112i
\(477\) −24.0620 + 2.19927i −1.10172 + 0.100698i
\(478\) 6.82743 + 11.8255i 0.312279 + 0.540884i
\(479\) 0.367120 0.0167741 0.00838707 0.999965i \(-0.497330\pi\)
0.00838707 + 0.999965i \(0.497330\pi\)
\(480\) 1.02704 0.0468383i 0.0468778 0.00213787i
\(481\) −2.51459 −0.114655
\(482\) −6.50000 + 11.2583i −0.296067 + 0.512803i
\(483\) 17.9071 + 9.85668i 0.814801 + 0.448495i
\(484\) 5.32383 + 9.22115i 0.241992 + 0.419143i
\(485\) 3.48249 + 6.03184i 0.158132 + 0.273892i
\(486\) 15.1855 3.52144i 0.688828 0.159736i
\(487\) −14.9538 + 25.9007i −0.677621 + 1.17367i 0.298075 + 0.954543i \(0.403656\pi\)
−0.975695 + 0.219131i \(0.929678\pi\)
\(488\) −3.32383 + 5.75705i −0.150463 + 0.260609i
\(489\) −10.3509 + 0.472052i −0.468083 + 0.0213469i
\(490\) −2.25583 + 3.48937i −0.101908 + 0.157634i
\(491\) −0.255158 + 0.441947i −0.0115151 + 0.0199448i −0.871726 0.489994i \(-0.836999\pi\)
0.860210 + 0.509939i \(0.170332\pi\)
\(492\) 0.217799 0.420378i 0.00981916 0.0189521i
\(493\) −18.0938 −0.814903
\(494\) −6.76615 + 11.7193i −0.304423 + 0.527277i
\(495\) 0.609631 + 0.863492i 0.0274009 + 0.0388111i
\(496\) −7.86693 −0.353235
\(497\) 0.958848 38.1151i 0.0430102 1.70969i
\(498\) 6.13667 11.8445i 0.274991 0.530764i
\(499\) −19.0191 −0.851410 −0.425705 0.904862i \(-0.639974\pi\)
−0.425705 + 0.904862i \(0.639974\pi\)
\(500\) 2.86333 + 4.95943i 0.128052 + 0.221792i
\(501\) −6.96410 10.8848i −0.311133 0.486297i
\(502\) −9.77188 + 16.9254i −0.436141 + 0.755418i
\(503\) −37.7807 −1.68456 −0.842280 0.539040i \(-0.818787\pi\)
−0.842280 + 0.539040i \(0.818787\pi\)
\(504\) −6.59718 + 4.41330i −0.293862 + 0.196584i
\(505\) −0.963235 −0.0428634
\(506\) −1.32383 + 2.29294i −0.0588515 + 0.101934i
\(507\) 11.5526 0.526858i 0.513070 0.0233986i
\(508\) −6.16731 10.6821i −0.273630 0.473942i
\(509\) −11.2163 −0.497155 −0.248578 0.968612i \(-0.579963\pi\)
−0.248578 + 0.968612i \(0.579963\pi\)
\(510\) −3.00000 + 0.136815i −0.132842 + 0.00605828i
\(511\) 17.8638 + 10.9217i 0.790248 + 0.483147i
\(512\) −1.00000 −0.0441942
\(513\) −17.1517 22.0852i −0.757268 0.975086i
\(514\) 4.16372 7.21177i 0.183654 0.318097i
\(515\) 3.78794 0.166916
\(516\) 10.4195 + 16.2856i 0.458695 + 0.716933i
\(517\) 3.60963 6.25206i 0.158751 0.274965i
\(518\) −0.0665372 + 2.64491i −0.00292348 + 0.116211i
\(519\) −23.9518 37.4364i −1.05137 1.64327i
\(520\) 0.746304 1.29264i 0.0327276 0.0566859i
\(521\) −13.7360 + 23.7914i −0.601785 + 1.04232i 0.390766 + 0.920490i \(0.372210\pi\)
−0.992551 + 0.121831i \(0.961123\pi\)
\(522\) 10.7178 + 15.1809i 0.469105 + 0.664449i
\(523\) 11.0919 + 19.2118i 0.485016 + 0.840072i 0.999852 0.0172166i \(-0.00548048\pi\)
−0.514836 + 0.857289i \(0.672147\pi\)
\(524\) 0.593579 + 1.02811i 0.0259306 + 0.0449132i
\(525\) −18.6585 10.2703i −0.814322 0.448231i
\(526\) −8.54523 + 14.8008i −0.372590 + 0.645344i
\(527\) 22.9794 1.00100
\(528\) −0.554084 0.866025i −0.0241134 0.0376889i
\(529\) −3.10390 −0.134952
\(530\) −2.39037 4.14024i −0.103831 0.179841i
\(531\) −10.8727 + 23.5547i −0.471833 + 1.02219i
\(532\) 12.1477 + 7.42692i 0.526668 + 0.321998i
\(533\) −0.343677 0.595265i −0.0148863 0.0257838i
\(534\) −9.90856 + 19.1247i −0.428785 + 0.827605i
\(535\) 5.55262 + 9.61742i 0.240061 + 0.415797i
\(536\) −0.956906 1.65741i −0.0413321 0.0715892i
\(537\) −14.0359 21.9379i −0.605694 0.946690i
\(538\) 5.00720 + 8.67272i 0.215876 + 0.373908i
\(539\) 4.14980 + 0.208922i 0.178745 + 0.00899893i
\(540\) 1.89183 + 2.43599i 0.0814115 + 0.104828i
\(541\) 14.9246 + 25.8502i 0.641659 + 1.11139i 0.985062 + 0.172198i \(0.0550869\pi\)
−0.343403 + 0.939188i \(0.611580\pi\)
\(542\) 10.2091 0.438520
\(543\) −0.0686733 + 0.132547i −0.00294705 + 0.00568816i
\(544\) 2.92101 0.125237
\(545\) −0.850874 + 1.47376i −0.0364474 + 0.0631288i
\(546\) 0.235314 + 11.5209i 0.0100705 + 0.493049i
\(547\) 8.84348 + 15.3174i 0.378120 + 0.654923i 0.990789 0.135417i \(-0.0432373\pi\)
−0.612669 + 0.790340i \(0.709904\pi\)
\(548\) −1.26089 2.18393i −0.0538627 0.0932929i
\(549\) −19.8602 + 1.81523i −0.847613 + 0.0774720i
\(550\) 1.37938 2.38915i 0.0588169 0.101874i
\(551\) 16.6675 28.8690i 0.710060 1.22986i
\(552\) −3.55408 + 6.85980i −0.151272 + 0.291972i
\(553\) 20.8765 + 12.7636i 0.887757 + 0.542763i
\(554\) 9.67111 16.7508i 0.410886 0.711675i
\(555\) 1.02704 0.0468383i 0.0435955 0.00198818i
\(556\) −4.91381 −0.208392
\(557\) 15.0651 26.0935i 0.638328 1.10562i −0.347472 0.937690i \(-0.612960\pi\)
0.985800 0.167926i \(-0.0537069\pi\)
\(558\) −13.6118 19.2799i −0.576232 0.816185i
\(559\) 28.0685 1.18717
\(560\) −1.33988 0.819187i −0.0566204 0.0346170i
\(561\) 1.61849 + 2.52967i 0.0683325 + 0.106803i
\(562\) −12.8027 −0.540050
\(563\) −2.04883 3.54867i −0.0863478 0.149559i 0.819617 0.572912i \(-0.194186\pi\)
−0.905965 + 0.423353i \(0.860853\pi\)
\(564\) 9.69076 18.7043i 0.408054 0.787593i
\(565\) −3.65652 + 6.33327i −0.153831 + 0.266443i
\(566\) 16.3523 0.687340
\(567\) −22.2307 8.53197i −0.933603 0.358309i
\(568\) 14.4107 0.604659
\(569\) −3.11849 + 5.40138i −0.130734 + 0.226437i −0.923960 0.382490i \(-0.875067\pi\)
0.793226 + 0.608927i \(0.208400\pi\)
\(570\) 2.54523 4.91259i 0.106608 0.205766i
\(571\) −17.8011 30.8323i −0.744951 1.29029i −0.950218 0.311587i \(-0.899139\pi\)
0.205266 0.978706i \(-0.434194\pi\)
\(572\) −1.49261 −0.0624091
\(573\) 3.71732 + 5.81012i 0.155293 + 0.242721i
\(574\) −0.635211 + 0.345738i −0.0265132 + 0.0144308i
\(575\) −20.7309 −0.864539
\(576\) −1.73025 2.45076i −0.0720939 0.102115i
\(577\) 23.1388 40.0776i 0.963281 1.66845i 0.249118 0.968473i \(-0.419859\pi\)
0.714164 0.699979i \(-0.246807\pi\)
\(578\) 8.46770 0.352210
\(579\) −11.7324 + 0.535056i −0.487581 + 0.0222362i
\(580\) −1.83842 + 3.18424i −0.0763363 + 0.132218i
\(581\) −17.8976 + 9.74143i −0.742516 + 0.404143i
\(582\) 9.34941 18.0455i 0.387546 0.748008i
\(583\) −2.39037 + 4.14024i −0.0989990 + 0.171471i
\(584\) −3.95691 + 6.85356i −0.163738 + 0.283602i
\(585\) 4.45924 0.407575i 0.184367 0.0168512i
\(586\) 10.3889 + 17.9941i 0.429162 + 0.743330i
\(587\) 1.13161 + 1.96001i 0.0467066 + 0.0808982i 0.888434 0.459005i \(-0.151794\pi\)
−0.841727 + 0.539903i \(0.818461\pi\)
\(588\) 12.1242 + 0.0573390i 0.499994 + 0.00236462i
\(589\) −21.1680 + 36.6640i −0.872212 + 1.51072i
\(590\) −5.13307 −0.211325
\(591\) 8.81118 17.0066i 0.362444 0.699558i
\(592\) −1.00000 −0.0410997
\(593\) 23.0979 + 40.0067i 0.948515 + 1.64288i 0.748555 + 0.663072i \(0.230748\pi\)
0.199960 + 0.979804i \(0.435919\pi\)
\(594\) 1.16372 2.85637i 0.0477478 0.117198i
\(595\) 3.91381 + 2.39285i 0.160451 + 0.0980974i
\(596\) −9.02558 15.6328i −0.369702 0.640343i
\(597\) −5.24465 8.19731i −0.214649 0.335493i
\(598\) 5.60817 + 9.71363i 0.229335 + 0.397220i
\(599\) 8.39037 + 14.5325i 0.342821 + 0.593784i 0.984955 0.172808i \(-0.0552842\pi\)
−0.642134 + 0.766592i \(0.721951\pi\)
\(600\) 3.70321 7.14763i 0.151183 0.291801i
\(601\) −5.69961 9.87202i −0.232492 0.402688i 0.726049 0.687643i \(-0.241355\pi\)
−0.958541 + 0.284955i \(0.908021\pi\)
\(602\) 0.742705 29.5232i 0.0302704 1.20328i
\(603\) 2.40623 5.21289i 0.0979891 0.212285i
\(604\) −0.823832 1.42692i −0.0335212 0.0580605i
\(605\) −6.32023 −0.256954
\(606\) 1.51478 + 2.36758i 0.0615339 + 0.0961765i
\(607\) −14.4284 −0.585631 −0.292815 0.956169i \(-0.594592\pi\)
−0.292815 + 0.956169i \(0.594592\pi\)
\(608\) −2.69076 + 4.66053i −0.109125 + 0.189009i
\(609\) −0.579664 28.3802i −0.0234892 1.15002i
\(610\) −1.97296 3.41726i −0.0798827 0.138361i
\(611\) −15.2915 26.4857i −0.618629 1.07150i
\(612\) 5.05408 + 7.15869i 0.204299 + 0.289373i
\(613\) 12.2053 21.1403i 0.492969 0.853848i −0.506998 0.861947i \(-0.669245\pi\)
0.999967 + 0.00809942i \(0.00257815\pi\)
\(614\) −11.3384 + 19.6387i −0.457581 + 0.792554i
\(615\) 0.151457 + 0.236725i 0.00610733 + 0.00954566i
\(616\) −0.0394951 + 1.56997i −0.00159130 + 0.0632558i
\(617\) 24.4698 42.3830i 0.985119 1.70628i 0.343710 0.939076i \(-0.388316\pi\)
0.641408 0.767200i \(-0.278350\pi\)
\(618\) −5.95691 9.31056i −0.239622 0.374525i
\(619\) −44.6591 −1.79500 −0.897501 0.441012i \(-0.854620\pi\)
−0.897501 + 0.441012i \(0.854620\pi\)
\(620\) 2.33482 4.04403i 0.0937687 0.162412i
\(621\) −22.9612 + 3.15897i −0.921400 + 0.126765i
\(622\) 6.51459 0.261211
\(623\) 28.8982 15.7290i 1.15778 0.630168i
\(624\) −4.35087 + 0.198422i −0.174174 + 0.00794323i
\(625\) 19.8391 0.793564
\(626\) 0.133074 + 0.230492i 0.00531873 + 0.00921230i
\(627\) −5.52704 + 0.252061i −0.220729 + 0.0100663i
\(628\) 3.30039 5.71644i 0.131700 0.228111i
\(629\) 2.92101 0.116468
\(630\) −0.310705 4.70113i −0.0123788 0.187298i
\(631\) 33.2852 1.32506 0.662532 0.749034i \(-0.269482\pi\)
0.662532 + 0.749034i \(0.269482\pi\)
\(632\) −4.62422 + 8.00938i −0.183942 + 0.318596i
\(633\) −18.0387 28.1942i −0.716974 1.12062i
\(634\) 7.86186 + 13.6171i 0.312235 + 0.540806i
\(635\) 7.32158 0.290548
\(636\) −6.41741 + 12.3863i −0.254467 + 0.491151i
\(637\) 9.55641 14.7821i 0.378639 0.585687i
\(638\) 3.67684 0.145568
\(639\) 24.9341 + 35.3172i 0.986379 + 1.39713i
\(640\) 0.296790 0.514055i 0.0117316 0.0203198i
\(641\) 30.7879 1.21605 0.608025 0.793918i \(-0.291962\pi\)
0.608025 + 0.793918i \(0.291962\pi\)
\(642\) 14.9071 28.7724i 0.588336 1.13556i
\(643\) −13.7345 + 23.7889i −0.541637 + 0.938142i 0.457174 + 0.889378i \(0.348862\pi\)
−0.998810 + 0.0487649i \(0.984471\pi\)
\(644\) 10.3655 5.64180i 0.408456 0.222318i
\(645\) −11.4641 + 0.522821i −0.451399 + 0.0205861i
\(646\) 7.85973 13.6134i 0.309237 0.535614i
\(647\) −6.63521 + 11.4925i −0.260857 + 0.451818i −0.966470 0.256780i \(-0.917338\pi\)
0.705613 + 0.708598i \(0.250672\pi\)
\(648\) 3.01245 8.48087i 0.118340 0.333160i
\(649\) 2.56654 + 4.44537i 0.100745 + 0.174496i
\(650\) −5.84348 10.1212i −0.229200 0.396986i
\(651\) 0.736182 + 36.0433i 0.0288532 + 1.41265i
\(652\) −2.99115 + 5.18082i −0.117142 + 0.202896i
\(653\) −17.1416 −0.670803 −0.335402 0.942075i \(-0.608872\pi\)
−0.335402 + 0.942075i \(0.608872\pi\)
\(654\) 4.96050 0.226224i 0.193971 0.00884606i
\(655\) −0.704673 −0.0275338
\(656\) −0.136673 0.236725i −0.00533619 0.00924255i
\(657\) −23.6429 + 2.16096i −0.922397 + 0.0843072i
\(658\) −28.2630 + 15.3832i −1.10181 + 0.599701i
\(659\) 4.26089 + 7.38008i 0.165981 + 0.287487i 0.937003 0.349321i \(-0.113588\pi\)
−0.771022 + 0.636808i \(0.780254\pi\)
\(660\) 0.609631 0.0278023i 0.0237299 0.00108220i
\(661\) −17.1680 29.7358i −0.667757 1.15659i −0.978530 0.206105i \(-0.933921\pi\)
0.310773 0.950484i \(-0.399412\pi\)
\(662\) −12.5811 21.7912i −0.488979 0.846937i
\(663\) 12.7089 0.579592i 0.493575 0.0225095i
\(664\) −3.85087 6.66991i −0.149443 0.258843i
\(665\) −7.42315 + 4.04033i −0.287857 + 0.156677i
\(666\) −1.73025 2.45076i −0.0670459 0.0949650i
\(667\) −13.8150 23.9282i −0.534918 0.926505i
\(668\) −7.46050 −0.288656
\(669\) 43.8178 1.99831i 1.69409 0.0772592i
\(670\) 1.13600 0.0438875
\(671\) −1.97296 + 3.41726i −0.0761652 + 0.131922i
\(672\) 0.0935793 + 4.58162i 0.00360990 + 0.176740i
\(673\) −7.70155 13.3395i −0.296873 0.514199i 0.678546 0.734558i \(-0.262610\pi\)
−0.975419 + 0.220359i \(0.929277\pi\)
\(674\) 9.36693 + 16.2240i 0.360800 + 0.624925i
\(675\) 23.9246 3.29152i 0.920859 0.126691i
\(676\) 3.33842 5.78231i 0.128401 0.222397i
\(677\) 3.69076 6.39258i 0.141847 0.245687i −0.786345 0.617788i \(-0.788029\pi\)
0.928192 + 0.372101i \(0.121362\pi\)
\(678\) 21.3171 0.972168i 0.818679 0.0373359i
\(679\) −27.2675 + 14.8414i −1.04643 + 0.569560i
\(680\) −0.866926 + 1.50156i −0.0332451 + 0.0575822i
\(681\) 3.83823 7.40822i 0.147081 0.283884i
\(682\) −4.66964 −0.178810
\(683\) 4.79893 8.31198i 0.183626 0.318049i −0.759487 0.650523i \(-0.774550\pi\)
0.943113 + 0.332474i \(0.107883\pi\)
\(684\) −16.0775 + 1.46949i −0.614740 + 0.0561873i
\(685\) 1.49688 0.0571929
\(686\) −15.2953 10.4428i −0.583978 0.398710i
\(687\) −7.40642 + 14.2953i −0.282573 + 0.545398i
\(688\) 11.1623 0.425557
\(689\) 10.1264 + 17.5394i 0.385783 + 0.668197i
\(690\) −2.47150 3.86291i −0.0940882 0.147058i
\(691\) 7.07227 12.2495i 0.269042 0.465994i −0.699573 0.714561i \(-0.746626\pi\)
0.968615 + 0.248567i \(0.0799597\pi\)
\(692\) −25.6591 −0.975414
\(693\) −3.91595 + 2.61965i −0.148755 + 0.0995121i
\(694\) −22.5438 −0.855750
\(695\) 1.45837 2.52597i 0.0553191 0.0958155i
\(696\) 10.7178 0.488786i 0.406257 0.0185274i
\(697\) 0.399223 + 0.691475i 0.0151217 + 0.0261915i
\(698\) 3.79086 0.143486
\(699\) 0.336285 0.0153363i 0.0127195 0.000580072i
\(700\) −10.8004 + 5.87852i −0.408216 + 0.222187i
\(701\) 37.3753 1.41164 0.705822 0.708389i \(-0.250578\pi\)
0.705822 + 0.708389i \(0.250578\pi\)
\(702\) −8.01439 10.3196i −0.302484 0.389489i
\(703\) −2.69076 + 4.66053i −0.101484 + 0.175775i
\(704\) −0.593579 −0.0223714
\(705\) 6.73891 + 10.5328i 0.253802 + 0.396689i
\(706\) 3.41741 5.91913i 0.128616 0.222769i
\(707\) 0.107974 4.29205i 0.00406077 0.161419i
\(708\) 8.07227 + 12.6168i 0.303375 + 0.474170i
\(709\) 5.24338 9.08180i 0.196919 0.341074i −0.750609 0.660747i \(-0.770240\pi\)
0.947528 + 0.319673i \(0.103573\pi\)
\(710\) −4.27694 + 7.40789i −0.160511 + 0.278013i
\(711\) −27.6301 + 2.52540i −1.03621 + 0.0947099i
\(712\) 6.21780 + 10.7695i 0.233022 + 0.403606i
\(713\) 17.5452 + 30.3892i 0.657074 + 1.13809i
\(714\) −0.273346 13.3830i −0.0102297 0.500845i
\(715\) 0.442991 0.767282i 0.0165669 0.0286947i
\(716\) −15.0364 −0.561936
\(717\) 12.7463 + 19.9223i 0.476019 + 0.744011i
\(718\) −12.6447 −0.471897
\(719\) 1.11995 + 1.93981i 0.0417670 + 0.0723426i 0.886153 0.463392i \(-0.153368\pi\)
−0.844386 + 0.535735i \(0.820035\pi\)
\(720\) 1.77335 0.162084i 0.0660887 0.00604052i
\(721\) −0.424608 + 16.8786i −0.0158132 + 0.628590i
\(722\) 4.98035 + 8.62622i 0.185349 + 0.321035i
\(723\) −10.3583 + 19.9927i −0.385228 + 0.743535i
\(724\) 0.0430937 + 0.0746406i 0.00160157 + 0.00277399i
\(725\) 14.3946 + 24.9322i 0.534604 + 0.925961i
\(726\) 9.93920 + 15.5348i 0.368878 + 0.576551i
\(727\) 0.185023 + 0.320469i 0.00686211 + 0.0118855i 0.869436 0.494045i \(-0.164482\pi\)
−0.862574 + 0.505931i \(0.831149\pi\)
\(728\) 5.67617 + 3.47033i 0.210373 + 0.128619i
\(729\) 25.9969 7.29124i 0.962847 0.270046i
\(730\) −2.34874 4.06813i −0.0869307 0.150568i
\(731\) −32.6050 −1.20594
\(732\) −5.29679 + 10.2234i −0.195775 + 0.377868i
\(733\) 14.0191 0.517806 0.258903 0.965903i \(-0.416639\pi\)
0.258903 + 0.965903i \(0.416639\pi\)
\(734\) 3.27188 5.66707i 0.120767 0.209175i
\(735\) −3.62782 + 6.21550i −0.133814 + 0.229262i
\(736\) 2.23025 + 3.86291i 0.0822082 + 0.142389i
\(737\) −0.568000 0.983804i −0.0209225 0.0362389i
\(738\) 0.343677 0.744547i 0.0126509 0.0274071i
\(739\) 13.3872 23.1874i 0.492458 0.852962i −0.507504 0.861649i \(-0.669432\pi\)
0.999962 + 0.00868705i \(0.00276521\pi\)
\(740\) 0.296790 0.514055i 0.0109102 0.0188970i
\(741\) −10.7824 + 20.8113i −0.396101 + 0.764521i
\(742\) 18.7163 10.1871i 0.687098 0.373980i
\(743\) −5.04669 + 8.74113i −0.185145 + 0.320681i −0.943625 0.331015i \(-0.892609\pi\)
0.758480 + 0.651696i \(0.225942\pi\)
\(744\) −13.6118 + 0.620765i −0.499032 + 0.0227584i
\(745\) 10.7148 0.392560
\(746\) 4.71420 8.16524i 0.172599 0.298951i
\(747\) 9.68337 20.9782i 0.354296 0.767552i
\(748\) 1.73385 0.0633959
\(749\) −43.4764 + 23.6637i −1.58859 + 0.864653i
\(750\) 5.34562 + 8.35512i 0.195194 + 0.305086i
\(751\) 11.5146 0.420173 0.210087 0.977683i \(-0.432625\pi\)
0.210087 + 0.977683i \(0.432625\pi\)
\(752\) −6.08113 10.5328i −0.221756 0.384092i
\(753\) −15.5723 + 30.0563i −0.567485 + 1.09531i
\(754\) 7.78813 13.4894i 0.283627 0.491256i
\(755\) 0.978019 0.0355938
\(756\) −11.0665 + 8.15670i −0.402486 + 0.296656i
\(757\) −15.2484 −0.554214 −0.277107 0.960839i \(-0.589376\pi\)
−0.277107 + 0.960839i \(0.589376\pi\)
\(758\) −3.63881 + 6.30260i −0.132168 + 0.228921i
\(759\) −2.10963 + 4.07183i −0.0765748 + 0.147798i
\(760\) −1.59718 2.76639i −0.0579357 0.100348i
\(761\) −1.70175 −0.0616883 −0.0308442 0.999524i \(-0.509820\pi\)
−0.0308442 + 0.999524i \(0.509820\pi\)
\(762\) −11.5139 17.9961i −0.417105 0.651929i
\(763\) −6.47150 3.95659i −0.234284 0.143238i
\(764\) 3.98229 0.144074
\(765\) −5.17996 + 0.473449i −0.187282 + 0.0171176i
\(766\) −12.0416 + 20.8567i −0.435082 + 0.753584i
\(767\) 21.7453 0.785178
\(768\) −1.73025 + 0.0789082i −0.0624351