Properties

Label 380.2.bb.a.59.3
Level $380$
Weight $2$
Character 380.59
Analytic conductor $3.034$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [380,2,Mod(59,380)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(380, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([9, 9, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("380.59");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 380 = 2^{2} \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 380.bb (of order \(18\), degree \(6\), 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: \(3.03431527681\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(56\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.3
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.39943 + 0.203928i) q^{2} +(0.497064 - 0.592377i) q^{3} +(1.91683 - 0.570767i) q^{4} +(-2.20658 + 0.361956i) q^{5} +(-0.574805 + 0.930358i) q^{6} +(-0.647033 - 1.12069i) q^{7} +(-2.56608 + 1.18965i) q^{8} +(0.417106 + 2.36552i) q^{9} +O(q^{10})\) \(q+(-1.39943 + 0.203928i) q^{2} +(0.497064 - 0.592377i) q^{3} +(1.91683 - 0.570767i) q^{4} +(-2.20658 + 0.361956i) q^{5} +(-0.574805 + 0.930358i) q^{6} +(-0.647033 - 1.12069i) q^{7} +(-2.56608 + 1.18965i) q^{8} +(0.417106 + 2.36552i) q^{9} +(3.01415 - 0.956516i) q^{10} +(3.51998 + 2.03226i) q^{11} +(0.614675 - 1.41919i) q^{12} +(-0.500232 + 0.419744i) q^{13} +(1.13402 + 1.43639i) q^{14} +(-0.882396 + 1.48704i) q^{15} +(3.34845 - 2.18812i) q^{16} +(6.09239 + 1.07425i) q^{17} +(-1.06611 - 3.22533i) q^{18} +(4.32757 - 0.521627i) q^{19} +(-4.02304 + 1.95325i) q^{20} +(-0.985491 - 0.173769i) q^{21} +(-5.34042 - 2.12619i) q^{22} +(-3.27900 - 1.19346i) q^{23} +(-0.570784 + 2.11141i) q^{24} +(4.73798 - 1.59737i) q^{25} +(0.614443 - 0.689416i) q^{26} +(3.61769 + 2.08867i) q^{27} +(-1.87991 - 1.77887i) q^{28} +(0.235148 - 0.0414630i) q^{29} +(0.931604 - 2.26096i) q^{30} +(-2.17265 - 3.76314i) q^{31} +(-4.23971 + 3.74498i) q^{32} +(2.95352 - 1.07499i) q^{33} +(-8.74497 - 0.260936i) q^{34} +(1.83337 + 2.23870i) q^{35} +(2.14968 + 4.29623i) q^{36} +11.3618 q^{37} +(-5.94978 + 1.61250i) q^{38} +0.504966i q^{39} +(5.23165 - 3.55385i) q^{40} +(-3.07574 + 3.66552i) q^{41} +(1.41457 + 0.0422084i) q^{42} +(-1.67175 + 0.608467i) q^{43} +(7.90715 + 1.88640i) q^{44} +(-1.77659 - 5.06874i) q^{45} +(4.83211 + 1.00148i) q^{46} +(2.14370 + 12.1575i) q^{47} +(0.368197 - 3.07118i) q^{48} +(2.66270 - 4.61192i) q^{49} +(-6.30473 + 3.20162i) q^{50} +(3.66467 - 3.07502i) q^{51} +(-0.719281 + 1.09009i) q^{52} +(1.04851 + 0.381626i) q^{53} +(-5.48865 - 2.18521i) q^{54} +(-8.50271 - 3.21027i) q^{55} +(2.99357 + 2.10605i) q^{56} +(1.84208 - 2.82284i) q^{57} +(-0.320619 + 0.105978i) q^{58} +(-1.57571 + 8.93630i) q^{59} +(-0.842644 + 3.35405i) q^{60} +(7.73764 + 2.81627i) q^{61} +(3.80789 + 4.82320i) q^{62} +(2.38115 - 1.99802i) q^{63} +(5.16949 - 6.10544i) q^{64} +(0.951872 - 1.10726i) q^{65} +(-3.91404 + 2.10669i) q^{66} +(-8.22648 + 1.45055i) q^{67} +(12.2912 - 1.41818i) q^{68} +(-2.33685 + 1.34918i) q^{69} +(-3.02222 - 2.75904i) q^{70} +(2.30080 - 0.837424i) q^{71} +(-3.88446 - 5.57391i) q^{72} +(-7.87401 + 9.38388i) q^{73} +(-15.9001 + 2.31699i) q^{74} +(1.40883 - 3.60066i) q^{75} +(7.99748 - 3.46991i) q^{76} -5.25977i q^{77} +(-0.102977 - 0.706666i) q^{78} +(-10.3968 - 8.72395i) q^{79} +(-6.59661 + 6.04026i) q^{80} +(-3.73597 + 1.35978i) q^{81} +(3.55679 - 5.75688i) q^{82} +(-5.50091 - 9.52786i) q^{83} +(-1.98820 + 0.229402i) q^{84} +(-13.8322 - 0.165247i) q^{85} +(2.21542 - 1.19243i) q^{86} +(0.0923220 - 0.159906i) q^{87} +(-11.4502 - 1.02741i) q^{88} +(-9.55984 - 11.3930i) q^{89} +(3.51988 + 6.73107i) q^{90} +(0.794072 + 0.289019i) q^{91} +(-6.96645 - 0.416106i) q^{92} +(-3.30914 - 0.583491i) q^{93} +(-5.47923 - 16.5765i) q^{94} +(-9.36033 + 2.71740i) q^{95} +(0.111033 + 4.37300i) q^{96} +(-0.139455 + 0.790887i) q^{97} +(-2.78576 + 6.99708i) q^{98} +(-3.33916 + 9.17427i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 18 q^{4} - 12 q^{5} - 18 q^{6} - 24 q^{9} - 15 q^{10} + 18 q^{14} - 6 q^{16} - 42 q^{20} + 12 q^{21} + 12 q^{24} - 12 q^{25} + 18 q^{26} - 24 q^{29} - 24 q^{30} + 12 q^{34} - 6 q^{36} - 48 q^{40} - 12 q^{41} - 36 q^{44} - 6 q^{45} - 18 q^{46} - 108 q^{49} - 36 q^{50} + 36 q^{54} - 30 q^{60} - 24 q^{61} + 18 q^{64} - 18 q^{65} - 48 q^{66} - 180 q^{69} - 21 q^{70} - 30 q^{74} - 48 q^{76} + 3 q^{80} - 60 q^{81} + 90 q^{84} - 36 q^{85} + 102 q^{86} - 48 q^{89} - 78 q^{90} + 24 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{1}{18}\right)\) \(-1\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.39943 + 0.203928i −0.989549 + 0.144199i
\(3\) 0.497064 0.592377i 0.286980 0.342009i −0.603224 0.797572i \(-0.706117\pi\)
0.890204 + 0.455563i \(0.150562\pi\)
\(4\) 1.91683 0.570767i 0.958413 0.285384i
\(5\) −2.20658 + 0.361956i −0.986812 + 0.161872i
\(6\) −0.574805 + 0.930358i −0.234663 + 0.379817i
\(7\) −0.647033 1.12069i −0.244556 0.423583i 0.717451 0.696609i \(-0.245309\pi\)
−0.962007 + 0.273026i \(0.911975\pi\)
\(8\) −2.56608 + 1.18965i −0.907245 + 0.420603i
\(9\) 0.417106 + 2.36552i 0.139035 + 0.788508i
\(10\) 3.01415 0.956516i 0.953157 0.302477i
\(11\) 3.51998 + 2.03226i 1.06131 + 0.612750i 0.925796 0.378024i \(-0.123396\pi\)
0.135519 + 0.990775i \(0.456730\pi\)
\(12\) 0.614675 1.41919i 0.177441 0.409686i
\(13\) −0.500232 + 0.419744i −0.138739 + 0.116416i −0.709516 0.704689i \(-0.751087\pi\)
0.570777 + 0.821105i \(0.306642\pi\)
\(14\) 1.13402 + 1.43639i 0.303080 + 0.383891i
\(15\) −0.882396 + 1.48704i −0.227834 + 0.383953i
\(16\) 3.34845 2.18812i 0.837112 0.547031i
\(17\) 6.09239 + 1.07425i 1.47762 + 0.260545i 0.853628 0.520884i \(-0.174398\pi\)
0.623995 + 0.781428i \(0.285509\pi\)
\(18\) −1.06611 3.22533i −0.251284 0.760219i
\(19\) 4.32757 0.521627i 0.992814 0.119669i
\(20\) −4.02304 + 1.95325i −0.899578 + 0.436760i
\(21\) −0.985491 0.173769i −0.215052 0.0379194i
\(22\) −5.34042 2.12619i −1.13858 0.453306i
\(23\) −3.27900 1.19346i −0.683718 0.248853i −0.0232748 0.999729i \(-0.507409\pi\)
−0.660443 + 0.750876i \(0.729631\pi\)
\(24\) −0.570784 + 2.11141i −0.116511 + 0.430991i
\(25\) 4.73798 1.59737i 0.947595 0.319474i
\(26\) 0.614443 0.689416i 0.120502 0.135206i
\(27\) 3.61769 + 2.08867i 0.696224 + 0.401965i
\(28\) −1.87991 1.77887i −0.355269 0.336175i
\(29\) 0.235148 0.0414630i 0.0436660 0.00769949i −0.151773 0.988415i \(-0.548498\pi\)
0.195438 + 0.980716i \(0.437387\pi\)
\(30\) 0.931604 2.26096i 0.170087 0.412793i
\(31\) −2.17265 3.76314i −0.390219 0.675880i 0.602259 0.798301i \(-0.294267\pi\)
−0.992478 + 0.122421i \(0.960934\pi\)
\(32\) −4.23971 + 3.74498i −0.749482 + 0.662025i
\(33\) 2.95352 1.07499i 0.514142 0.187132i
\(34\) −8.74497 0.260936i −1.49975 0.0447501i
\(35\) 1.83337 + 2.23870i 0.309896 + 0.378410i
\(36\) 2.14968 + 4.29623i 0.358281 + 0.716038i
\(37\) 11.3618 1.86787 0.933933 0.357449i \(-0.116353\pi\)
0.933933 + 0.357449i \(0.116353\pi\)
\(38\) −5.94978 + 1.61250i −0.965181 + 0.261581i
\(39\) 0.504966i 0.0808592i
\(40\) 5.23165 3.55385i 0.827196 0.561913i
\(41\) −3.07574 + 3.66552i −0.480349 + 0.572458i −0.950736 0.310003i \(-0.899670\pi\)
0.470386 + 0.882461i \(0.344115\pi\)
\(42\) 1.41457 + 0.0422084i 0.218272 + 0.00651290i
\(43\) −1.67175 + 0.608467i −0.254939 + 0.0927904i −0.466328 0.884612i \(-0.654424\pi\)
0.211389 + 0.977402i \(0.432201\pi\)
\(44\) 7.90715 + 1.88640i 1.19205 + 0.284386i
\(45\) −1.77659 5.06874i −0.264839 0.755603i
\(46\) 4.83211 + 1.00148i 0.712456 + 0.147661i
\(47\) 2.14370 + 12.1575i 0.312691 + 1.77336i 0.584886 + 0.811115i \(0.301139\pi\)
−0.272195 + 0.962242i \(0.587750\pi\)
\(48\) 0.368197 3.07118i 0.0531447 0.443287i
\(49\) 2.66270 4.61192i 0.380385 0.658846i
\(50\) −6.30473 + 3.20162i −0.891624 + 0.452777i
\(51\) 3.66467 3.07502i 0.513157 0.430590i
\(52\) −0.719281 + 1.09009i −0.0997464 + 0.151169i
\(53\) 1.04851 + 0.381626i 0.144024 + 0.0524203i 0.413026 0.910719i \(-0.364472\pi\)
−0.269003 + 0.963139i \(0.586694\pi\)
\(54\) −5.48865 2.18521i −0.746911 0.297369i
\(55\) −8.50271 3.21027i −1.14650 0.432873i
\(56\) 2.99357 + 2.10605i 0.400032 + 0.281432i
\(57\) 1.84208 2.82284i 0.243990 0.373894i
\(58\) −0.320619 + 0.105978i −0.0420993 + 0.0139156i
\(59\) −1.57571 + 8.93630i −0.205140 + 1.16341i 0.692079 + 0.721822i \(0.256695\pi\)
−0.897219 + 0.441586i \(0.854416\pi\)
\(60\) −0.842644 + 3.35405i −0.108785 + 0.433005i
\(61\) 7.73764 + 2.81627i 0.990703 + 0.360586i 0.785992 0.618236i \(-0.212152\pi\)
0.204711 + 0.978823i \(0.434375\pi\)
\(62\) 3.80789 + 4.82320i 0.483602 + 0.612547i
\(63\) 2.38115 1.99802i 0.299997 0.251727i
\(64\) 5.16949 6.10544i 0.646186 0.763180i
\(65\) 0.951872 1.10726i 0.118065 0.137339i
\(66\) −3.91404 + 2.10669i −0.481785 + 0.259315i
\(67\) −8.22648 + 1.45055i −1.00502 + 0.177213i −0.651853 0.758346i \(-0.726008\pi\)
−0.353172 + 0.935559i \(0.614897\pi\)
\(68\) 12.2912 1.41818i 1.49053 0.171980i
\(69\) −2.33685 + 1.34918i −0.281323 + 0.162422i
\(70\) −3.02222 2.75904i −0.361224 0.329768i
\(71\) 2.30080 0.837424i 0.273055 0.0993840i −0.201863 0.979414i \(-0.564700\pi\)
0.474919 + 0.880030i \(0.342477\pi\)
\(72\) −3.88446 5.57391i −0.457788 0.656891i
\(73\) −7.87401 + 9.38388i −0.921583 + 1.09830i 0.0733041 + 0.997310i \(0.476646\pi\)
−0.994887 + 0.100991i \(0.967799\pi\)
\(74\) −15.9001 + 2.31699i −1.84834 + 0.269344i
\(75\) 1.40883 3.60066i 0.162678 0.415769i
\(76\) 7.99748 3.46991i 0.917374 0.398026i
\(77\) 5.25977i 0.599406i
\(78\) −0.102977 0.706666i −0.0116598 0.0800142i
\(79\) −10.3968 8.72395i −1.16973 0.981521i −0.169739 0.985489i \(-0.554293\pi\)
−0.999992 + 0.00396763i \(0.998737\pi\)
\(80\) −6.59661 + 6.04026i −0.737524 + 0.675321i
\(81\) −3.73597 + 1.35978i −0.415107 + 0.151087i
\(82\) 3.55679 5.75688i 0.392781 0.635741i
\(83\) −5.50091 9.52786i −0.603804 1.04582i −0.992239 0.124343i \(-0.960318\pi\)
0.388436 0.921476i \(-0.373016\pi\)
\(84\) −1.98820 + 0.229402i −0.216930 + 0.0250298i
\(85\) −13.8322 0.165247i −1.50031 0.0179235i
\(86\) 2.21542 1.19243i 0.238895 0.128583i
\(87\) 0.0923220 0.159906i 0.00989796 0.0171438i
\(88\) −11.4502 1.02741i −1.22060 0.109522i
\(89\) −9.55984 11.3930i −1.01334 1.20765i −0.978070 0.208275i \(-0.933215\pi\)
−0.0352707 0.999378i \(-0.511229\pi\)
\(90\) 3.51988 + 6.73107i 0.371028 + 0.709517i
\(91\) 0.794072 + 0.289019i 0.0832414 + 0.0302974i
\(92\) −6.96645 0.416106i −0.726303 0.0433821i
\(93\) −3.30914 0.583491i −0.343142 0.0605052i
\(94\) −5.47923 16.5765i −0.565139 1.70973i
\(95\) −9.36033 + 2.71740i −0.960349 + 0.278800i
\(96\) 0.111033 + 4.37300i 0.0113323 + 0.446318i
\(97\) −0.139455 + 0.790887i −0.0141595 + 0.0803024i −0.991069 0.133353i \(-0.957426\pi\)
0.976909 + 0.213655i \(0.0685368\pi\)
\(98\) −2.78576 + 6.99708i −0.281405 + 0.706812i
\(99\) −3.33916 + 9.17427i −0.335599 + 0.922049i
\(100\) 8.17015 5.76616i 0.817015 0.576616i
\(101\) 5.84992 4.90866i 0.582089 0.488430i −0.303544 0.952818i \(-0.598170\pi\)
0.885632 + 0.464387i \(0.153725\pi\)
\(102\) −4.50138 + 5.05062i −0.445703 + 0.500086i
\(103\) 7.03711 + 4.06287i 0.693387 + 0.400327i 0.804880 0.593438i \(-0.202230\pi\)
−0.111493 + 0.993765i \(0.535563\pi\)
\(104\) 0.784286 1.67219i 0.0769055 0.163972i
\(105\) 2.23746 + 0.0267299i 0.218354 + 0.00260857i
\(106\) −1.54514 0.320239i −0.150077 0.0311044i
\(107\) 8.75169 5.05279i 0.846058 0.488472i −0.0132607 0.999912i \(-0.504221\pi\)
0.859319 + 0.511440i \(0.170888\pi\)
\(108\) 8.12663 + 1.93877i 0.781985 + 0.186558i
\(109\) 0.476234 + 1.30844i 0.0456150 + 0.125326i 0.960408 0.278596i \(-0.0898690\pi\)
−0.914793 + 0.403922i \(0.867647\pi\)
\(110\) 12.5536 + 2.75862i 1.19694 + 0.263024i
\(111\) 5.64753 6.73046i 0.536040 0.638827i
\(112\) −4.61878 2.33680i −0.436434 0.220807i
\(113\) −7.44050 −0.699943 −0.349972 0.936760i \(-0.613809\pi\)
−0.349972 + 0.936760i \(0.613809\pi\)
\(114\) −2.00221 + 4.32603i −0.187524 + 0.405170i
\(115\) 7.66734 + 1.44660i 0.714983 + 0.134897i
\(116\) 0.427073 0.213692i 0.0396527 0.0198408i
\(117\) −1.20157 1.00823i −0.111085 0.0932112i
\(118\) 0.382740 12.8271i 0.0352341 1.18083i
\(119\) −2.73807 7.52279i −0.250999 0.689613i
\(120\) 0.495240 4.86560i 0.0452090 0.444167i
\(121\) 2.76019 + 4.78078i 0.250926 + 0.434617i
\(122\) −11.4026 2.36326i −1.03235 0.213960i
\(123\) 0.642534 + 3.64399i 0.0579354 + 0.328568i
\(124\) −6.31247 5.97321i −0.566876 0.536410i
\(125\) −9.87654 + 5.23966i −0.883384 + 0.468649i
\(126\) −2.92481 + 3.28168i −0.260563 + 0.292355i
\(127\) −6.29024 7.49641i −0.558168 0.665199i 0.410989 0.911640i \(-0.365183\pi\)
−0.969158 + 0.246441i \(0.920739\pi\)
\(128\) −5.98928 + 9.59836i −0.529383 + 0.848383i
\(129\) −0.470524 + 1.29275i −0.0414273 + 0.113821i
\(130\) −1.10628 + 1.74365i −0.0970271 + 0.152928i
\(131\) 0.592416 + 0.104459i 0.0517597 + 0.00912662i 0.199468 0.979904i \(-0.436079\pi\)
−0.147708 + 0.989031i \(0.547190\pi\)
\(132\) 5.04782 3.74635i 0.439356 0.326078i
\(133\) −3.38467 4.51238i −0.293488 0.391273i
\(134\) 11.2166 3.70756i 0.968967 0.320284i
\(135\) −8.73872 3.29938i −0.752109 0.283965i
\(136\) −16.9115 + 4.49117i −1.45015 + 0.385115i
\(137\) 4.81932 13.2410i 0.411742 1.13125i −0.544522 0.838747i \(-0.683289\pi\)
0.956264 0.292505i \(-0.0944889\pi\)
\(138\) 2.99512 2.36463i 0.254962 0.201291i
\(139\) 10.1432 + 12.0882i 0.860334 + 1.02531i 0.999387 + 0.0350210i \(0.0111498\pi\)
−0.139053 + 0.990285i \(0.544406\pi\)
\(140\) 4.79204 + 3.24478i 0.405001 + 0.274234i
\(141\) 8.26740 + 4.77319i 0.696241 + 0.401975i
\(142\) −3.04905 + 1.64112i −0.255870 + 0.137720i
\(143\) −2.61384 + 0.460890i −0.218580 + 0.0385416i
\(144\) 6.57272 + 7.00816i 0.547727 + 0.584013i
\(145\) −0.503866 + 0.176605i −0.0418438 + 0.0146662i
\(146\) 9.10552 14.7378i 0.753578 1.21971i
\(147\) −1.40847 3.86974i −0.116169 0.319171i
\(148\) 21.7786 6.48493i 1.79019 0.533058i
\(149\) −0.818404 0.686722i −0.0670462 0.0562585i 0.608649 0.793440i \(-0.291712\pi\)
−0.675695 + 0.737181i \(0.736156\pi\)
\(150\) −1.23729 + 5.32619i −0.101024 + 0.434881i
\(151\) 1.10953 0.0902925 0.0451463 0.998980i \(-0.485625\pi\)
0.0451463 + 0.998980i \(0.485625\pi\)
\(152\) −10.4843 + 6.48681i −0.850392 + 0.526150i
\(153\) 14.8598i 1.20134i
\(154\) 1.07261 + 7.36070i 0.0864337 + 0.593142i
\(155\) 6.15621 + 7.51726i 0.494479 + 0.603801i
\(156\) 0.288218 + 0.967932i 0.0230759 + 0.0774966i
\(157\) 3.04036 + 8.35332i 0.242647 + 0.666668i 0.999908 + 0.0135552i \(0.00431488\pi\)
−0.757261 + 0.653112i \(0.773463\pi\)
\(158\) 16.3287 + 10.0884i 1.29904 + 0.802589i
\(159\) 0.747242 0.431420i 0.0592601 0.0342138i
\(160\) 7.99974 9.79817i 0.632435 0.774614i
\(161\) 0.784119 + 4.44696i 0.0617972 + 0.350469i
\(162\) 4.95094 2.66479i 0.388983 0.209366i
\(163\) −1.43302 + 2.48207i −0.112243 + 0.194411i −0.916674 0.399635i \(-0.869137\pi\)
0.804431 + 0.594046i \(0.202470\pi\)
\(164\) −3.80349 + 8.78170i −0.297003 + 0.685735i
\(165\) −6.12808 + 3.44110i −0.477070 + 0.267890i
\(166\) 9.64116 + 12.2118i 0.748299 + 0.947821i
\(167\) −1.48086 + 4.06863i −0.114592 + 0.314840i −0.983709 0.179767i \(-0.942466\pi\)
0.869117 + 0.494607i \(0.164688\pi\)
\(168\) 2.73557 0.726482i 0.211054 0.0560493i
\(169\) −2.18338 + 12.3826i −0.167952 + 0.952505i
\(170\) 19.3909 2.58952i 1.48721 0.198607i
\(171\) 3.03898 + 10.0194i 0.232396 + 0.766204i
\(172\) −2.85716 + 2.12051i −0.217857 + 0.161687i
\(173\) 2.36685 13.4231i 0.179948 1.02054i −0.752327 0.658789i \(-0.771069\pi\)
0.932276 0.361749i \(-0.117820\pi\)
\(174\) −0.0965891 + 0.242605i −0.00732240 + 0.0183919i
\(175\) −4.85579 4.27627i −0.367063 0.323256i
\(176\) 16.2333 0.897230i 1.22363 0.0676313i
\(177\) 4.51044 + 5.37533i 0.339025 + 0.404034i
\(178\) 15.7017 + 13.9942i 1.17689 + 1.04891i
\(179\) 6.60254 11.4359i 0.493497 0.854762i −0.506475 0.862255i \(-0.669052\pi\)
0.999972 + 0.00749289i \(0.00238508\pi\)
\(180\) −6.29849 8.70188i −0.469462 0.648600i
\(181\) −12.6495 + 2.23045i −0.940230 + 0.165788i −0.622700 0.782460i \(-0.713964\pi\)
−0.317530 + 0.948248i \(0.602853\pi\)
\(182\) −1.17019 0.242529i −0.0867403 0.0179774i
\(183\) 5.51439 3.18374i 0.407636 0.235349i
\(184\) 9.83394 0.838342i 0.724968 0.0618034i
\(185\) −25.0707 + 4.11246i −1.84323 + 0.302354i
\(186\) 4.74991 + 0.141730i 0.348281 + 0.0103921i
\(187\) 19.2620 + 16.1627i 1.40857 + 1.18193i
\(188\) 11.0482 + 22.0803i 0.805774 + 1.61037i
\(189\) 5.40577i 0.393212i
\(190\) 12.5450 5.71166i 0.910110 0.414367i
\(191\) 1.96817i 0.142412i 0.997462 + 0.0712059i \(0.0226847\pi\)
−0.997462 + 0.0712059i \(0.977315\pi\)
\(192\) −1.04716 6.09708i −0.0755723 0.440019i
\(193\) −9.09531 7.63187i −0.654695 0.549354i 0.253797 0.967258i \(-0.418321\pi\)
−0.908491 + 0.417904i \(0.862765\pi\)
\(194\) 0.0338735 1.13523i 0.00243198 0.0815049i
\(195\) −0.182775 1.11425i −0.0130888 0.0797929i
\(196\) 2.47159 10.3600i 0.176542 0.740003i
\(197\) 9.40767 5.43152i 0.670269 0.386980i −0.125910 0.992042i \(-0.540185\pi\)
0.796179 + 0.605062i \(0.206852\pi\)
\(198\) 2.80204 13.5197i 0.199133 0.960806i
\(199\) 0.987286 0.174085i 0.0699869 0.0123406i −0.138545 0.990356i \(-0.544243\pi\)
0.208532 + 0.978016i \(0.433131\pi\)
\(200\) −10.2577 + 9.73548i −0.725329 + 0.688402i
\(201\) −3.22981 + 5.59420i −0.227813 + 0.394584i
\(202\) −7.18556 + 8.06231i −0.505574 + 0.567262i
\(203\) −0.198616 0.236702i −0.0139401 0.0166132i
\(204\) 5.26942 7.98596i 0.368933 0.559129i
\(205\) 5.46010 9.20154i 0.381350 0.642663i
\(206\) −10.6765 4.25066i −0.743867 0.296157i
\(207\) 1.45546 8.25434i 0.101162 0.573716i
\(208\) −0.756548 + 2.50006i −0.0524572 + 0.173348i
\(209\) 16.2931 + 6.95865i 1.12702 + 0.481340i
\(210\) −3.13663 + 0.418874i −0.216448 + 0.0289051i
\(211\) 4.26511 24.1886i 0.293622 1.66521i −0.379128 0.925344i \(-0.623776\pi\)
0.672750 0.739870i \(-0.265113\pi\)
\(212\) 2.22763 + 0.133056i 0.152994 + 0.00913834i
\(213\) 0.647575 1.77920i 0.0443711 0.121909i
\(214\) −11.2170 + 8.85576i −0.766779 + 0.605367i
\(215\) 3.46861 1.94773i 0.236557 0.132834i
\(216\) −11.7680 1.05593i −0.800714 0.0718467i
\(217\) −2.81155 + 4.86975i −0.190861 + 0.330580i
\(218\) −0.933286 1.73396i −0.0632101 0.117439i
\(219\) 1.64491 + 9.32877i 0.111153 + 0.630380i
\(220\) −18.1305 1.30046i −1.22236 0.0876771i
\(221\) −3.49852 + 2.01987i −0.235336 + 0.135871i
\(222\) −6.53081 + 10.5705i −0.438319 + 0.709447i
\(223\) 1.95990 + 5.38479i 0.131245 + 0.360592i 0.987856 0.155370i \(-0.0496569\pi\)
−0.856612 + 0.515962i \(0.827435\pi\)
\(224\) 6.94021 + 2.32830i 0.463712 + 0.155566i
\(225\) 5.75485 + 10.5415i 0.383657 + 0.702768i
\(226\) 10.4125 1.51733i 0.692628 0.100931i
\(227\) 14.8537i 0.985873i −0.870065 0.492936i \(-0.835924\pi\)
0.870065 0.492936i \(-0.164076\pi\)
\(228\) 1.91976 6.46229i 0.127139 0.427976i
\(229\) 8.14498 0.538235 0.269118 0.963107i \(-0.413268\pi\)
0.269118 + 0.963107i \(0.413268\pi\)
\(230\) −11.0249 0.460840i −0.726962 0.0303869i
\(231\) −3.11577 2.61444i −0.205003 0.172018i
\(232\) −0.554082 + 0.386140i −0.0363773 + 0.0253514i
\(233\) −2.99173 8.21972i −0.195995 0.538492i 0.802296 0.596926i \(-0.203611\pi\)
−0.998291 + 0.0584342i \(0.981389\pi\)
\(234\) 1.88712 + 1.16592i 0.123365 + 0.0762187i
\(235\) −9.13073 26.0506i −0.595623 1.69935i
\(236\) 2.08018 + 18.0287i 0.135409 + 1.17357i
\(237\) −10.3357 + 1.82247i −0.671379 + 0.118382i
\(238\) 5.36586 + 9.96927i 0.347817 + 0.646212i
\(239\) −13.1030 7.56501i −0.847562 0.489340i 0.0122657 0.999925i \(-0.496096\pi\)
−0.859827 + 0.510585i \(0.829429\pi\)
\(240\) 0.299177 + 6.91008i 0.0193118 + 0.446044i
\(241\) −8.84218 10.5377i −0.569575 0.678793i 0.401969 0.915653i \(-0.368326\pi\)
−0.971544 + 0.236861i \(0.923882\pi\)
\(242\) −4.83763 6.12751i −0.310975 0.393891i
\(243\) −5.33772 + 14.6653i −0.342415 + 0.940777i
\(244\) 16.4391 + 0.981910i 1.05241 + 0.0628604i
\(245\) −4.20613 + 11.1403i −0.268720 + 0.711731i
\(246\) −1.64230 4.96850i −0.104709 0.316780i
\(247\) −1.94584 + 2.07741i −0.123811 + 0.132182i
\(248\) 10.0520 + 7.07181i 0.638301 + 0.449061i
\(249\) −8.37840 1.47734i −0.530959 0.0936224i
\(250\) 12.7530 9.34665i 0.806573 0.591134i
\(251\) −4.13506 + 11.3610i −0.261003 + 0.717100i 0.738098 + 0.674694i \(0.235724\pi\)
−0.999100 + 0.0424057i \(0.986498\pi\)
\(252\) 3.42385 5.18894i 0.215682 0.326873i
\(253\) −9.11659 10.8647i −0.573155 0.683060i
\(254\) 10.3315 + 9.20798i 0.648256 + 0.577760i
\(255\) −6.97336 + 8.11173i −0.436689 + 0.507976i
\(256\) 6.42422 14.6536i 0.401514 0.915853i
\(257\) −4.04349 22.9318i −0.252226 1.43044i −0.803094 0.595852i \(-0.796814\pi\)
0.550868 0.834592i \(-0.314297\pi\)
\(258\) 0.394838 1.90508i 0.0245815 0.118605i
\(259\) −7.35145 12.7331i −0.456797 0.791196i
\(260\) 1.19259 2.66572i 0.0739610 0.165321i
\(261\) 0.196164 + 0.538955i 0.0121422 + 0.0333605i
\(262\) −0.850349 0.0253731i −0.0525348 0.00156755i
\(263\) 5.40776 + 4.53765i 0.333457 + 0.279803i 0.794107 0.607778i \(-0.207939\pi\)
−0.460650 + 0.887582i \(0.652384\pi\)
\(264\) −6.30010 + 6.27216i −0.387744 + 0.386025i
\(265\) −2.45175 0.462573i −0.150610 0.0284157i
\(266\) 5.65682 + 5.62455i 0.346842 + 0.344863i
\(267\) −11.5008 −0.703837
\(268\) −14.9408 + 7.47586i −0.912655 + 0.456661i
\(269\) −12.2528 + 14.6023i −0.747068 + 0.890321i −0.996957 0.0779535i \(-0.975161\pi\)
0.249889 + 0.968274i \(0.419606\pi\)
\(270\) 12.9021 + 2.83519i 0.785196 + 0.172544i
\(271\) 5.50726 + 15.1311i 0.334542 + 0.919147i 0.986914 + 0.161248i \(0.0515518\pi\)
−0.652372 + 0.757899i \(0.726226\pi\)
\(272\) 22.7507 9.73383i 1.37946 0.590200i
\(273\) 0.565913 0.326730i 0.0342506 0.0197746i
\(274\) −4.04411 + 19.5126i −0.244314 + 1.17880i
\(275\) 19.9239 + 4.00611i 1.20145 + 0.241577i
\(276\) −3.70926 + 3.91994i −0.223271 + 0.235953i
\(277\) 21.3155 + 12.3065i 1.28072 + 0.739425i 0.976980 0.213329i \(-0.0684308\pi\)
0.303741 + 0.952755i \(0.401764\pi\)
\(278\) −16.6598 14.8481i −0.999190 0.890531i
\(279\) 7.99557 6.70908i 0.478682 0.401662i
\(280\) −7.36784 3.56362i −0.440312 0.212967i
\(281\) 4.50045 12.3649i 0.268474 0.737627i −0.730054 0.683390i \(-0.760505\pi\)
0.998528 0.0542372i \(-0.0172727\pi\)
\(282\) −12.5431 4.99380i −0.746928 0.297376i
\(283\) 4.45275 25.2528i 0.264689 1.50112i −0.505231 0.862984i \(-0.668593\pi\)
0.769920 0.638140i \(-0.220296\pi\)
\(284\) 3.93227 2.91842i 0.233337 0.173176i
\(285\) −3.04295 + 6.89557i −0.180249 + 0.408458i
\(286\) 3.56390 1.17802i 0.210738 0.0696578i
\(287\) 6.09803 + 1.07525i 0.359956 + 0.0634699i
\(288\) −10.6272 8.46709i −0.626216 0.498928i
\(289\) 19.9885 + 7.27520i 1.17579 + 0.427953i
\(290\) 0.669112 0.349899i 0.0392916 0.0205468i
\(291\) 0.399186 + 0.475731i 0.0234007 + 0.0278878i
\(292\) −9.73710 + 22.4815i −0.569821 + 1.31563i
\(293\) −5.19491 + 8.99785i −0.303490 + 0.525660i −0.976924 0.213587i \(-0.931485\pi\)
0.673434 + 0.739247i \(0.264819\pi\)
\(294\) 2.76021 + 5.12822i 0.160979 + 0.299084i
\(295\) 0.242383 20.2890i 0.0141121 1.18127i
\(296\) −29.1552 + 13.5165i −1.69461 + 0.785630i
\(297\) 8.48947 + 14.7042i 0.492609 + 0.853224i
\(298\) 1.28534 + 0.794126i 0.0744579 + 0.0460025i
\(299\) 2.14120 0.779335i 0.123829 0.0450701i
\(300\) 0.645344 7.70596i 0.0372589 0.444904i
\(301\) 1.76358 + 1.47982i 0.101651 + 0.0852956i
\(302\) −1.55272 + 0.226265i −0.0893488 + 0.0130201i
\(303\) 5.90528i 0.339249i
\(304\) 13.3493 11.2159i 0.765634 0.643277i
\(305\) −18.0931 3.41364i −1.03601 0.195464i
\(306\) −3.03033 20.7953i −0.173232 1.18879i
\(307\) −20.8203 + 24.8127i −1.18828 + 1.41613i −0.301794 + 0.953373i \(0.597585\pi\)
−0.886483 + 0.462760i \(0.846859\pi\)
\(308\) −3.00210 10.0821i −0.171061 0.574479i
\(309\) 5.90465 2.14912i 0.335904 0.122259i
\(310\) −10.1482 9.26447i −0.576378 0.526187i
\(311\) −21.3810 + 12.3443i −1.21240 + 0.699982i −0.963282 0.268490i \(-0.913475\pi\)
−0.249122 + 0.968472i \(0.580142\pi\)
\(312\) −0.600730 1.29578i −0.0340097 0.0733591i
\(313\) 21.1754 3.73380i 1.19691 0.211047i 0.460546 0.887636i \(-0.347654\pi\)
0.736361 + 0.676589i \(0.236542\pi\)
\(314\) −5.95826 11.0699i −0.336244 0.624711i
\(315\) −4.53100 + 5.27066i −0.255293 + 0.296968i
\(316\) −24.9082 10.7882i −1.40120 0.606881i
\(317\) 4.65198 3.90347i 0.261281 0.219241i −0.502731 0.864443i \(-0.667671\pi\)
0.764012 + 0.645202i \(0.223227\pi\)
\(318\) −0.957736 + 0.756127i −0.0537072 + 0.0424015i
\(319\) 0.911982 + 0.331934i 0.0510612 + 0.0185848i
\(320\) −9.19698 + 15.3433i −0.514127 + 0.857714i
\(321\) 1.35699 7.69587i 0.0757397 0.429541i
\(322\) −2.00418 6.06332i −0.111689 0.337896i
\(323\) 26.9256 + 1.47095i 1.49818 + 0.0818461i
\(324\) −6.38508 + 4.73883i −0.354727 + 0.263268i
\(325\) −1.69960 + 2.78779i −0.0942769 + 0.154639i
\(326\) 1.49926 3.76572i 0.0830361 0.208564i
\(327\) 1.01181 + 0.368269i 0.0559533 + 0.0203653i
\(328\) 3.53190 13.0650i 0.195017 0.721396i
\(329\) 12.2378 10.2688i 0.674693 0.566135i
\(330\) 7.87410 6.06528i 0.433455 0.333883i
\(331\) −14.1358 + 24.4840i −0.776975 + 1.34576i 0.156703 + 0.987646i \(0.449914\pi\)
−0.933678 + 0.358115i \(0.883420\pi\)
\(332\) −15.9825 15.1235i −0.877153 0.830011i
\(333\) 4.73907 + 26.8766i 0.259699 + 1.47283i
\(334\) 1.24266 5.99577i 0.0679952 0.328074i
\(335\) 17.6273 6.17837i 0.963084 0.337561i
\(336\) −3.68010 + 1.57452i −0.200766 + 0.0858972i
\(337\) 19.6601 7.15567i 1.07095 0.389794i 0.254419 0.967094i \(-0.418116\pi\)
0.816532 + 0.577300i \(0.195894\pi\)
\(338\) 0.530343 17.7738i 0.0288468 0.966768i
\(339\) −3.69840 + 4.40758i −0.200870 + 0.239387i
\(340\) −26.6082 + 7.57820i −1.44303 + 0.410986i
\(341\) 17.6616i 0.956428i
\(342\) −6.29609 13.4018i −0.340453 0.724684i
\(343\) −15.9499 −0.861213
\(344\) 3.56598 3.55016i 0.192265 0.191412i
\(345\) 4.66809 3.82290i 0.251322 0.205818i
\(346\) −0.574908 + 19.2674i −0.0309072 + 1.03582i
\(347\) −1.61068 + 0.586241i −0.0864660 + 0.0314711i −0.384891 0.922962i \(-0.625761\pi\)
0.298425 + 0.954433i \(0.403539\pi\)
\(348\) 0.0856959 0.359207i 0.00459378 0.0192555i
\(349\) −13.4455 23.2883i −0.719722 1.24660i −0.961110 0.276166i \(-0.910936\pi\)
0.241388 0.970429i \(-0.422397\pi\)
\(350\) 7.66741 + 4.99413i 0.409840 + 0.266947i
\(351\) −2.68639 + 0.473683i −0.143389 + 0.0252833i
\(352\) −22.5345 + 4.56604i −1.20109 + 0.243371i
\(353\) 11.3732 + 6.56633i 0.605335 + 0.349491i 0.771138 0.636669i \(-0.219688\pi\)
−0.165802 + 0.986159i \(0.553021\pi\)
\(354\) −7.40823 6.60261i −0.393743 0.350925i
\(355\) −4.77379 + 2.68063i −0.253367 + 0.142273i
\(356\) −24.8273 16.3819i −1.31584 0.868240i
\(357\) −5.81733 2.11733i −0.307886 0.112061i
\(358\) −6.90770 + 17.3503i −0.365084 + 0.916990i
\(359\) −24.2269 4.27185i −1.27865 0.225460i −0.507241 0.861804i \(-0.669334\pi\)
−0.771405 + 0.636345i \(0.780446\pi\)
\(360\) 10.5889 + 10.8933i 0.558083 + 0.574125i
\(361\) 18.4558 4.51476i 0.971358 0.237619i
\(362\) 17.2473 5.70095i 0.906497 0.299635i
\(363\) 4.20402 + 0.741282i 0.220654 + 0.0389072i
\(364\) 1.68706 + 0.100768i 0.0884260 + 0.00528169i
\(365\) 13.9781 23.5563i 0.731646 1.23299i
\(366\) −7.06777 + 5.57997i −0.369438 + 0.291670i
\(367\) −22.8093 + 19.1393i −1.19064 + 0.999064i −0.190790 + 0.981631i \(0.561105\pi\)
−0.999848 + 0.0174328i \(0.994451\pi\)
\(368\) −13.5910 + 3.17862i −0.708479 + 0.165697i
\(369\) −9.95378 5.74682i −0.518173 0.299168i
\(370\) 34.2461 10.8677i 1.78037 0.564986i
\(371\) −0.250734 1.42198i −0.0130175 0.0738256i
\(372\) −6.67609 + 0.770299i −0.346139 + 0.0399382i
\(373\) 6.12009 + 10.6003i 0.316886 + 0.548863i 0.979837 0.199800i \(-0.0640293\pi\)
−0.662950 + 0.748663i \(0.730696\pi\)
\(374\) −30.2518 18.6906i −1.56429 0.966466i
\(375\) −1.80541 + 8.45508i −0.0932312 + 0.436619i
\(376\) −19.9640 28.6469i −1.02957 1.47735i
\(377\) −0.100225 + 0.119443i −0.00516184 + 0.00615164i
\(378\) 1.10239 + 7.56501i 0.0567007 + 0.389102i
\(379\) 25.3592 1.30262 0.651308 0.758813i \(-0.274220\pi\)
0.651308 + 0.758813i \(0.274220\pi\)
\(380\) −16.3911 + 10.5514i −0.840847 + 0.541273i
\(381\) −7.56736 −0.387687
\(382\) −0.401365 2.75432i −0.0205356 0.140923i
\(383\) −7.88693 + 9.39927i −0.403003 + 0.480280i −0.928933 0.370247i \(-0.879273\pi\)
0.525930 + 0.850528i \(0.323717\pi\)
\(384\) 2.70880 + 8.31891i 0.138233 + 0.424523i
\(385\) 1.90380 + 11.6061i 0.0970269 + 0.591501i
\(386\) 14.2846 + 8.82550i 0.727069 + 0.449206i
\(387\) −2.13664 3.70077i −0.108612 0.188121i
\(388\) 0.184102 + 1.59559i 0.00934636 + 0.0810038i
\(389\) −0.548095 3.10840i −0.0277895 0.157602i 0.967755 0.251893i \(-0.0810529\pi\)
−0.995545 + 0.0942902i \(0.969942\pi\)
\(390\) 0.483008 + 1.52204i 0.0244581 + 0.0770715i
\(391\) −18.6949 10.7935i −0.945439 0.545850i
\(392\) −1.34612 + 15.0022i −0.0679895 + 0.757726i
\(393\) 0.356348 0.299011i 0.0179754 0.0150831i
\(394\) −12.0578 + 9.51954i −0.607462 + 0.479588i
\(395\) 26.0990 + 15.4869i 1.31319 + 0.779231i
\(396\) −1.16422 + 19.4914i −0.0585043 + 0.979479i
\(397\) 23.3841 + 4.12325i 1.17362 + 0.206940i 0.726262 0.687418i \(-0.241256\pi\)
0.447353 + 0.894358i \(0.352367\pi\)
\(398\) −1.34614 + 0.444956i −0.0674759 + 0.0223036i
\(399\) −4.35543 0.237938i −0.218044 0.0119118i
\(400\) 12.3696 15.7160i 0.618482 0.785799i
\(401\) −37.3671 6.58883i −1.86602 0.329030i −0.877439 0.479689i \(-0.840750\pi\)
−0.988586 + 0.150658i \(0.951861\pi\)
\(402\) 3.37909 8.48735i 0.168534 0.423311i
\(403\) 2.66638 + 0.970484i 0.132822 + 0.0483433i
\(404\) 8.41158 12.7480i 0.418492 0.634237i
\(405\) 7.75152 4.35272i 0.385176 0.216288i
\(406\) 0.326220 + 0.290745i 0.0161900 + 0.0144294i
\(407\) 39.9933 + 23.0901i 1.98239 + 1.14454i
\(408\) −5.74563 + 12.2504i −0.284451 + 0.606485i
\(409\) −13.6552 + 2.40777i −0.675204 + 0.119057i −0.500728 0.865605i \(-0.666934\pi\)
−0.174476 + 0.984661i \(0.555823\pi\)
\(410\) −5.76459 + 13.9904i −0.284693 + 0.690937i
\(411\) −5.44814 9.43646i −0.268737 0.465466i
\(412\) 15.8079 + 3.77128i 0.778798 + 0.185797i
\(413\) 11.0344 4.01620i 0.542968 0.197624i
\(414\) −0.353532 + 11.8482i −0.0173751 + 0.582308i
\(415\) 15.5869 + 19.0329i 0.765129 + 0.934288i
\(416\) 0.548906 3.65295i 0.0269123 0.179101i
\(417\) 12.2026 0.597563
\(418\) −24.2201 6.41556i −1.18465 0.313795i
\(419\) 8.75463i 0.427692i −0.976867 0.213846i \(-0.931401\pi\)
0.976867 0.213846i \(-0.0685990\pi\)
\(420\) 4.30408 1.22583i 0.210018 0.0598145i
\(421\) 2.42433 2.88920i 0.118154 0.140811i −0.703725 0.710473i \(-0.748481\pi\)
0.821879 + 0.569662i \(0.192926\pi\)
\(422\) −1.03599 + 34.7201i −0.0504314 + 1.69015i
\(423\) −27.8648 + 10.1419i −1.35483 + 0.493118i
\(424\) −3.14455 + 0.268072i −0.152713 + 0.0130188i
\(425\) 30.5816 4.64201i 1.48342 0.225170i
\(426\) −0.543410 + 2.62193i −0.0263283 + 0.127033i
\(427\) −1.85033 10.4938i −0.0895438 0.507828i
\(428\) 13.8915 14.6805i 0.671472 0.709609i
\(429\) −1.02622 + 1.77747i −0.0495465 + 0.0858171i
\(430\) −4.45689 + 3.43306i −0.214930 + 0.165557i
\(431\) 17.6866 14.8408i 0.851933 0.714857i −0.108281 0.994120i \(-0.534535\pi\)
0.960215 + 0.279263i \(0.0900902\pi\)
\(432\) 16.6839 0.922135i 0.802706 0.0443662i
\(433\) −20.1855 7.34691i −0.970052 0.353070i −0.192087 0.981378i \(-0.561526\pi\)
−0.777965 + 0.628308i \(0.783748\pi\)
\(434\) 2.94150 7.38825i 0.141197 0.354647i
\(435\) −0.145837 + 0.386262i −0.00699233 + 0.0185199i
\(436\) 1.65968 + 2.23624i 0.0794840 + 0.107096i
\(437\) −14.8126 3.45436i −0.708584 0.165244i
\(438\) −4.20435 12.7196i −0.200891 0.607764i
\(439\) −1.77851 + 10.0864i −0.0848837 + 0.481399i 0.912498 + 0.409081i \(0.134151\pi\)
−0.997382 + 0.0723180i \(0.976960\pi\)
\(440\) 25.6377 1.87741i 1.22223 0.0895022i
\(441\) 12.0202 + 4.37501i 0.572393 + 0.208334i
\(442\) 4.48404 3.54012i 0.213284 0.168386i
\(443\) −21.4279 + 17.9801i −1.01807 + 0.854262i −0.989384 0.145326i \(-0.953577\pi\)
−0.0286863 + 0.999588i \(0.509132\pi\)
\(444\) 6.98381 16.1246i 0.331437 0.765238i
\(445\) 25.2183 + 21.6792i 1.19546 + 1.02769i
\(446\) −3.84086 7.13597i −0.181870 0.337898i
\(447\) −0.813598 + 0.143459i −0.0384818 + 0.00678539i
\(448\) −10.1872 1.84299i −0.481298 0.0870732i
\(449\) 0.167174 0.0965178i 0.00788941 0.00455496i −0.496050 0.868294i \(-0.665217\pi\)
0.503940 + 0.863739i \(0.331883\pi\)
\(450\) −10.2032 13.5786i −0.480985 0.640101i
\(451\) −18.2758 + 6.65186i −0.860576 + 0.313224i
\(452\) −14.2621 + 4.24679i −0.670835 + 0.199752i
\(453\) 0.551509 0.657262i 0.0259121 0.0308809i
\(454\) 3.02908 + 20.7867i 0.142162 + 0.975569i
\(455\) −1.85679 0.350323i −0.0870479 0.0164234i
\(456\) −1.36874 + 9.43504i −0.0640971 + 0.441836i
\(457\) 24.4488i 1.14367i −0.820370 0.571833i \(-0.806232\pi\)
0.820370 0.571833i \(-0.193768\pi\)
\(458\) −11.3983 + 1.66099i −0.532610 + 0.0776129i
\(459\) 19.7966 + 16.6113i 0.924027 + 0.775351i
\(460\) 15.5226 1.60338i 0.723746 0.0747578i
\(461\) 1.98574 0.722750i 0.0924850 0.0336618i −0.295363 0.955385i \(-0.595441\pi\)
0.387848 + 0.921723i \(0.373218\pi\)
\(462\) 4.89347 + 3.02334i 0.227665 + 0.140659i
\(463\) −9.67820 16.7631i −0.449784 0.779049i 0.548588 0.836093i \(-0.315166\pi\)
−0.998372 + 0.0570444i \(0.981832\pi\)
\(464\) 0.696656 0.653371i 0.0323415 0.0303320i
\(465\) 7.51308 + 0.0897553i 0.348411 + 0.00416230i
\(466\) 5.86296 + 10.8929i 0.271597 + 0.504602i
\(467\) 16.5808 28.7187i 0.767266 1.32894i −0.171774 0.985136i \(-0.554950\pi\)
0.939040 0.343808i \(-0.111717\pi\)
\(468\) −2.87866 1.24679i −0.133066 0.0576331i
\(469\) 6.94843 + 8.28082i 0.320849 + 0.382373i
\(470\) 18.0903 + 34.5941i 0.834443 + 1.59571i
\(471\) 6.45957 + 2.35109i 0.297641 + 0.108333i
\(472\) −6.58764 24.8058i −0.303221 1.14178i
\(473\) −7.12110 1.25564i −0.327428 0.0577345i
\(474\) 14.0925 4.65817i 0.647291 0.213957i
\(475\) 19.6707 9.38419i 0.902554 0.430576i
\(476\) −9.54217 12.8571i −0.437365 0.589304i
\(477\) −0.465406 + 2.63945i −0.0213095 + 0.120852i
\(478\) 19.8795 + 7.91466i 0.909266 + 0.362008i
\(479\) −3.31652 + 9.11207i −0.151536 + 0.416341i −0.992112 0.125352i \(-0.959994\pi\)
0.840577 + 0.541693i \(0.182216\pi\)
\(480\) −1.82784 9.60918i −0.0834289 0.438597i
\(481\) −5.68353 + 4.76904i −0.259146 + 0.217450i
\(482\) 14.5230 + 12.9436i 0.661503 + 0.589566i
\(483\) 3.02404 + 1.74593i 0.137598 + 0.0794425i
\(484\) 8.01951 + 7.58851i 0.364523 + 0.344932i
\(485\) 0.0214516 1.79563i 0.000974065 0.0815354i
\(486\) 4.47912 21.6116i 0.203177 0.980321i
\(487\) 12.5324 7.23557i 0.567896 0.327875i −0.188412 0.982090i \(-0.560334\pi\)
0.756309 + 0.654215i \(0.227001\pi\)
\(488\) −23.2057 + 1.97829i −1.05047 + 0.0895528i
\(489\) 0.758018 + 2.08264i 0.0342787 + 0.0941801i
\(490\) 3.61437 16.4479i 0.163281 0.743041i
\(491\) −0.0406164 + 0.0484047i −0.00183299 + 0.00218448i −0.766960 0.641695i \(-0.778232\pi\)
0.765127 + 0.643879i \(0.222676\pi\)
\(492\) 3.31150 + 6.61817i 0.149294 + 0.298370i
\(493\) 1.47716 0.0665279
\(494\) 2.29943 3.30401i 0.103456 0.148654i
\(495\) 4.04744 21.4524i 0.181919 0.964213i
\(496\) −15.5092 7.84665i −0.696384 0.352325i
\(497\) −2.42719 2.03666i −0.108875 0.0913566i
\(498\) 12.0263 + 0.358845i 0.538910 + 0.0160802i
\(499\) 2.50810 + 6.89095i 0.112278 + 0.308481i 0.983087 0.183141i \(-0.0586264\pi\)
−0.870809 + 0.491622i \(0.836404\pi\)
\(500\) −15.9410 + 15.6807i −0.712903 + 0.701263i
\(501\) 1.67408 + 2.89960i 0.0747925 + 0.129544i
\(502\) 3.46992 16.7422i 0.154870 0.747241i
\(503\) −6.42035 36.4116i −0.286269 1.62351i −0.700717 0.713440i \(-0.747136\pi\)
0.414448 0.910073i \(-0.363975\pi\)
\(504\) −3.73327 + 7.95980i −0.166293 + 0.354558i
\(505\) −11.1316 + 12.9488i −0.495349 + 0.576213i
\(506\) 14.9737 + 13.3453i 0.665661 + 0.593272i
\(507\) 6.24987 + 7.44831i 0.277567 + 0.330791i
\(508\) −16.3360 10.7791i −0.724793 0.478244i
\(509\) −2.03894 + 5.60194i −0.0903743 + 0.248301i −0.976642 0.214871i \(-0.931067\pi\)
0.886268 + 0.463173i \(0.153289\pi\)
\(510\) 8.10454 12.7739i 0.358875 0.565637i
\(511\) 15.6112 + 2.75268i 0.690600 + 0.121771i
\(512\) −6.00198 + 21.8169i −0.265253 + 0.964179i
\(513\) 16.7453 + 7.15181i 0.739324 + 0.315760i
\(514\) 10.3350 + 31.2669i 0.455858 + 1.37912i
\(515\) −16.9985 6.41793i −0.749044 0.282808i
\(516\) −0.164051 + 2.74654i −0.00722195 + 0.120910i
\(517\) −17.1615 + 47.1508i −0.754762 + 2.07369i
\(518\) 12.8845 + 16.3199i 0.566113 + 0.717057i
\(519\) −6.77506 8.07420i −0.297392 0.354418i
\(520\) −1.12533 + 3.97370i −0.0493489 + 0.174258i
\(521\) 5.64764 + 3.26066i 0.247427 + 0.142852i 0.618586 0.785717i \(-0.287706\pi\)
−0.371158 + 0.928570i \(0.621039\pi\)
\(522\) −0.384426 0.714228i −0.0168259 0.0312609i
\(523\) 32.5138 5.73306i 1.42173 0.250689i 0.590688 0.806900i \(-0.298856\pi\)
0.831041 + 0.556211i \(0.187745\pi\)
\(524\) 1.19518 0.137902i 0.0522117 0.00602428i
\(525\) −4.94681 + 0.750880i −0.215896 + 0.0327711i
\(526\) −8.49315 5.24734i −0.370319 0.228795i
\(527\) −9.19407 25.2605i −0.400500 1.10036i
\(528\) 7.53750 10.0622i 0.328028 0.437903i
\(529\) −8.29155 6.95744i −0.360502 0.302497i
\(530\) 3.52539 + 0.147361i 0.153133 + 0.00640094i
\(531\) −21.7963 −0.945878
\(532\) −9.06335 6.71759i −0.392946 0.291245i
\(533\) 3.12463i 0.135343i
\(534\) 16.0946 2.34533i 0.696481 0.101493i
\(535\) −17.4824 + 14.3171i −0.755830 + 0.618983i
\(536\) 19.3841 13.5088i 0.837267 0.583492i
\(537\) −3.49251 9.59558i −0.150713 0.414080i
\(538\) 14.1692 22.9337i 0.610877 0.988742i
\(539\) 18.7453 10.8226i 0.807417 0.466162i
\(540\) −18.6338 1.33656i −0.801871 0.0575163i
\(541\) −4.15660 23.5732i −0.178706 1.01349i −0.933779 0.357851i \(-0.883509\pi\)
0.755072 0.655641i \(-0.227602\pi\)
\(542\) −10.7927 20.0518i −0.463586 0.861300i
\(543\) −4.96634 + 8.60196i −0.213126 + 0.369145i
\(544\) −29.8530 + 18.2613i −1.27994 + 0.782949i
\(545\) −1.52445 2.71481i −0.0653001 0.116290i
\(546\) −0.725328 + 0.572642i −0.0310412 + 0.0245068i
\(547\) −9.83267 + 27.0150i −0.420414 + 1.15508i 0.531055 + 0.847337i \(0.321796\pi\)
−0.951470 + 0.307742i \(0.900427\pi\)
\(548\) 1.68029 28.1313i 0.0717782 1.20171i
\(549\) −3.43454 + 19.4783i −0.146583 + 0.831312i
\(550\) −28.6991 1.54324i −1.22373 0.0658041i
\(551\) 0.995994 0.302094i 0.0424308 0.0128696i
\(552\) 4.39148 6.24211i 0.186914 0.265682i
\(553\) −3.04981 + 17.2963i −0.129691 + 0.735515i
\(554\) −32.3392 12.8753i −1.37396 0.547018i
\(555\) −10.0256 + 16.8955i −0.425562 + 0.717172i
\(556\) 26.3423 + 17.3815i 1.11716 + 0.737142i
\(557\) −9.06492 10.8032i −0.384093 0.457744i 0.539009 0.842300i \(-0.318799\pi\)
−0.923102 + 0.384556i \(0.874355\pi\)
\(558\) −9.82110 + 11.0194i −0.415760 + 0.466490i
\(559\) 0.580862 1.00608i 0.0245678 0.0425527i
\(560\) 11.0375 + 3.48454i 0.466420 + 0.147249i
\(561\) 19.1488 3.37646i 0.808465 0.142554i
\(562\) −3.77653 + 18.2216i −0.159303 + 0.768631i
\(563\) 11.4131 6.58938i 0.481007 0.277709i −0.239829 0.970815i \(-0.577091\pi\)
0.720836 + 0.693106i \(0.243758\pi\)
\(564\) 18.5716 + 4.43061i 0.782003 + 0.186562i
\(565\) 16.4180 2.69313i 0.690712 0.113301i
\(566\) −1.08157 + 36.2477i −0.0454619 + 1.52360i
\(567\) 3.94120 + 3.30706i 0.165515 + 0.138883i
\(568\) −4.90780 + 4.88603i −0.205927 + 0.205013i
\(569\) 0.00913241i 0.000382850i −1.00000 0.000191425i \(-0.999939\pi\)
1.00000 0.000191425i \(-6.09325e-5\pi\)
\(570\) 2.85221 10.2704i 0.119466 0.430181i
\(571\) 0.969575i 0.0405754i 0.999794 + 0.0202877i \(0.00645822\pi\)
−0.999794 + 0.0202877i \(0.993542\pi\)
\(572\) −4.74721 + 2.37534i −0.198491 + 0.0993180i
\(573\) 1.16590 + 0.978306i 0.0487062 + 0.0408693i
\(574\) −8.75306 0.261178i −0.365346 0.0109013i
\(575\) −17.4422 0.416807i −0.727390 0.0173820i
\(576\) 16.5988 + 9.68193i 0.691616 + 0.403414i
\(577\) −36.1447 + 20.8681i −1.50472 + 0.868752i −0.504738 + 0.863273i \(0.668411\pi\)
−0.999985 + 0.00547920i \(0.998256\pi\)
\(578\) −29.4561 6.10496i −1.22521 0.253933i
\(579\) −9.04190 + 1.59433i −0.375768 + 0.0662581i
\(580\) −0.865023 + 0.626111i −0.0359181 + 0.0259978i
\(581\) −7.11855 + 12.3297i −0.295327 + 0.511522i
\(582\) −0.655649 0.584349i −0.0271775 0.0242220i
\(583\) 2.91517 + 3.47416i 0.120734 + 0.143885i
\(584\) 9.04182 33.4470i 0.374153 1.38405i
\(585\) 3.01628 + 1.78983i 0.124708 + 0.0740004i
\(586\) 5.43502 13.6513i 0.224519 0.563929i
\(587\) 1.74429 9.89239i 0.0719948 0.408303i −0.927418 0.374027i \(-0.877977\pi\)
0.999412 0.0342752i \(-0.0109123\pi\)
\(588\) −4.90852 6.61371i −0.202424 0.272745i
\(589\) −11.3653 15.1519i −0.468297 0.624325i
\(590\) 3.79830 + 28.4425i 0.156373 + 1.17096i
\(591\) 1.45870 8.27271i 0.0600030 0.340294i
\(592\) 38.0444 24.8610i 1.56361 1.02178i
\(593\) −1.36514 + 3.75070i −0.0560598 + 0.154023i −0.964561 0.263858i \(-0.915005\pi\)
0.908502 + 0.417881i \(0.137227\pi\)
\(594\) −14.8790 18.8463i −0.610494 0.773273i
\(595\) 8.76469 + 15.6086i 0.359317 + 0.639889i
\(596\) −1.96070 0.849209i −0.0803133 0.0347850i
\(597\) 0.387620 0.671377i 0.0158642 0.0274776i
\(598\) −2.83754 + 1.52728i −0.116036 + 0.0624551i
\(599\) −3.74301 21.2276i −0.152935 0.867338i −0.960649 0.277764i \(-0.910407\pi\)
0.807714 0.589574i \(-0.200704\pi\)
\(600\) 0.668347 + 10.9156i 0.0272851 + 0.445627i
\(601\) 4.39412 2.53694i 0.179240 0.103484i −0.407696 0.913118i \(-0.633668\pi\)
0.586935 + 0.809634i \(0.300334\pi\)
\(602\) −2.76980 1.71127i −0.112888 0.0697461i
\(603\) −6.86262 18.8549i −0.279468 0.767831i
\(604\) 2.12678 0.633285i 0.0865375 0.0257680i
\(605\) −7.82100 9.55011i −0.317969 0.388267i
\(606\) 1.20425 + 8.26404i 0.0489194 + 0.335704i
\(607\) 27.7036i 1.12445i −0.826983 0.562227i \(-0.809945\pi\)
0.826983 0.562227i \(-0.190055\pi\)
\(608\) −16.3942 + 18.4182i −0.664872 + 0.746957i
\(609\) −0.238942 −0.00968240
\(610\) 26.0162 + 1.08747i 1.05336 + 0.0440305i
\(611\) −6.17540 5.18178i −0.249830 0.209632i
\(612\) 8.48148 + 28.4836i 0.342843 + 1.15138i
\(613\) −11.6155 31.9133i −0.469145 1.28897i −0.918432 0.395579i \(-0.870544\pi\)
0.449287 0.893388i \(-0.351678\pi\)
\(614\) 24.0766 38.9695i 0.971653 1.57268i
\(615\) −2.73677 7.80819i −0.110357 0.314857i
\(616\) 6.25726 + 13.4970i 0.252112 + 0.543808i
\(617\) −11.0655 + 1.95114i −0.445479 + 0.0785500i −0.391888 0.920013i \(-0.628178\pi\)
−0.0535911 + 0.998563i \(0.517067\pi\)
\(618\) −7.82489 + 4.21167i −0.314763 + 0.169418i
\(619\) 35.8033 + 20.6710i 1.43906 + 0.830839i 0.997784 0.0665345i \(-0.0211942\pi\)
0.441271 + 0.897374i \(0.354528\pi\)
\(620\) 16.0910 + 10.8955i 0.646230 + 0.437574i
\(621\) −9.36964 11.1663i −0.375991 0.448088i
\(622\) 27.4039 21.6352i 1.09880 0.867493i
\(623\) −6.58251 + 18.0853i −0.263723 + 0.724572i
\(624\) 1.10493 + 1.69085i 0.0442325 + 0.0676883i
\(625\) 19.8968 15.1366i 0.795873 0.605463i
\(626\) −28.8722 + 9.54348i −1.15397 + 0.381434i
\(627\) 12.2208 6.19276i 0.488054 0.247315i
\(628\) 10.5956 + 14.2765i 0.422812 + 0.569696i
\(629\) 69.2204 + 12.2054i 2.76000 + 0.486662i
\(630\) 5.26599 8.29994i 0.209802 0.330677i
\(631\) 3.57194 9.81382i 0.142197 0.390682i −0.848067 0.529890i \(-0.822233\pi\)
0.990263 + 0.139208i \(0.0444556\pi\)
\(632\) 37.0574 + 10.0178i 1.47406 + 0.398487i
\(633\) −12.2088 14.5498i −0.485255 0.578304i
\(634\) −5.71411 + 6.41132i −0.226936 + 0.254626i
\(635\) 16.5933 + 14.2646i 0.658484 + 0.566075i
\(636\) 1.18609 1.25346i 0.0470316 0.0497029i
\(637\) 0.603864 + 3.42468i 0.0239260 + 0.135691i
\(638\) −1.34395 0.278541i −0.0532074 0.0110276i
\(639\) 2.94063 + 5.09331i 0.116329 + 0.201488i
\(640\) 9.74164 23.3474i 0.385072 0.922887i
\(641\) 7.26275 + 19.9542i 0.286861 + 0.788145i 0.996501 + 0.0835804i \(0.0266355\pi\)
−0.709640 + 0.704565i \(0.751142\pi\)
\(642\) −0.329612 + 11.0466i −0.0130088 + 0.435974i
\(643\) −18.3969 15.4368i −0.725503 0.608769i 0.203399 0.979096i \(-0.434801\pi\)
−0.928901 + 0.370327i \(0.879246\pi\)
\(644\) 4.04120 + 8.07650i 0.159246 + 0.318259i
\(645\) 0.570328 3.02287i 0.0224566 0.119025i
\(646\) −37.9806 + 3.43239i −1.49433 + 0.135046i
\(647\) −39.6665 −1.55945 −0.779726 0.626121i \(-0.784642\pi\)
−0.779726 + 0.626121i \(0.784642\pi\)
\(648\) 7.96912 7.93378i 0.313056 0.311668i
\(649\) −23.7074 + 28.2534i −0.930597 + 1.10904i
\(650\) 1.80997 4.24793i 0.0709928 0.166617i
\(651\) 1.48721 + 4.08608i 0.0582884 + 0.160146i
\(652\) −1.33017 + 5.57562i −0.0520936 + 0.218358i
\(653\) 1.47393 0.850973i 0.0576793 0.0333012i −0.470883 0.882196i \(-0.656065\pi\)
0.528562 + 0.848894i \(0.322731\pi\)
\(654\) −1.49106 0.309031i −0.0583052 0.0120841i
\(655\) −1.34502 0.0160684i −0.0525544 0.000627843i
\(656\) −2.27833 + 19.0039i −0.0889540 + 0.741978i
\(657\) −25.4821 14.7121i −0.994151 0.573974i
\(658\) −15.0319 + 16.8661i −0.586006 + 0.657508i
\(659\) 7.63985 6.41060i 0.297606 0.249721i −0.481741 0.876314i \(-0.659995\pi\)
0.779347 + 0.626592i \(0.215551\pi\)
\(660\) −9.78239 + 10.0937i −0.380779 + 0.392897i
\(661\) −8.25775 + 22.6880i −0.321189 + 0.882460i 0.669067 + 0.743202i \(0.266694\pi\)
−0.990256 + 0.139258i \(0.955528\pi\)
\(662\) 14.7892 37.1464i 0.574798 1.44373i
\(663\) −0.542461 + 3.07645i −0.0210674 + 0.119479i
\(664\) 25.4505 + 17.9051i 0.987672 + 0.694852i
\(665\) 9.10182 + 8.73182i 0.352954 + 0.338605i
\(666\) −12.1129 36.6455i −0.469365 1.41999i
\(667\) −0.820535 0.144682i −0.0317712 0.00560213i
\(668\) −0.516311 + 8.64409i −0.0199767 + 0.334450i
\(669\) 4.16402 + 1.51558i 0.160990 + 0.0585957i
\(670\) −23.4083 + 12.2409i −0.904343 + 0.472908i
\(671\) 21.5130 + 25.6381i 0.830498 + 0.989749i
\(672\) 4.82896 2.95391i 0.186281 0.113950i
\(673\) 7.12247 12.3365i 0.274551 0.475536i −0.695471 0.718554i \(-0.744804\pi\)
0.970022 + 0.243018i \(0.0781375\pi\)
\(674\) −26.0537 + 14.0231i −1.00355 + 0.540151i
\(675\) 20.4769 + 4.11730i 0.788156 + 0.158475i
\(676\) 2.88240 + 24.9814i 0.110862 + 0.960824i
\(677\) −9.95159 17.2367i −0.382471 0.662458i 0.608944 0.793213i \(-0.291593\pi\)
−0.991415 + 0.130755i \(0.958260\pi\)
\(678\) 4.27684 6.92233i 0.164251 0.265850i
\(679\) 0.976575 0.355444i 0.0374775 0.0136407i
\(680\) 35.6910 16.0313i 1.36869 0.614774i
\(681\) −8.79898 7.38322i −0.337178 0.282926i
\(682\) 3.60169 + 24.7162i 0.137916 + 0.946432i
\(683\) 25.1586i 0.962667i 0.876537 + 0.481334i \(0.159847\pi\)
−0.876537 + 0.481334i \(0.840153\pi\)
\(684\) 11.5439 + 17.4709i 0.441394 + 0.668018i
\(685\) −5.84156 + 30.9616i −0.223194 + 1.18298i
\(686\) 22.3208 3.25263i 0.852212 0.124186i
\(687\) 4.04857 4.82490i 0.154463 0.184081i
\(688\) −4.26637 + 5.69542i −0.162654 + 0.217136i
\(689\) −0.684682 + 0.249204i −0.0260843 + 0.00949392i
\(690\) −5.75308 + 6.30185i −0.219016 + 0.239907i
\(691\) −3.80733 + 2.19816i −0.144837 + 0.0836220i −0.570668 0.821181i \(-0.693315\pi\)
0.425830 + 0.904803i \(0.359982\pi\)
\(692\) −3.12461 27.0806i −0.118780 1.02945i
\(693\) 12.4421 2.19388i 0.472637 0.0833386i
\(694\) 2.13449 1.14887i 0.0810242 0.0436105i
\(695\) −26.7571 23.0021i −1.01496 0.872520i
\(696\) −0.0466733 + 0.520162i −0.00176915 + 0.0197167i
\(697\) −22.6763 + 19.0277i −0.858926 + 0.720724i
\(698\) 23.5652 + 29.8485i 0.891958 + 1.12978i
\(699\) −6.35626 2.31349i −0.240416 0.0875042i
\(700\) −11.7485 5.42535i −0.444050 0.205059i
\(701\) −3.85596 + 21.8682i −0.145637 + 0.825951i 0.821216 + 0.570618i \(0.193296\pi\)
−0.966853 + 0.255333i \(0.917815\pi\)
\(702\) 3.66283 1.21072i 0.138245 0.0456956i
\(703\) 49.1690 5.92661i 1.85444 0.223526i
\(704\) 30.6044 10.9853i 1.15345 0.414024i
\(705\) −19.9703 7.53997i −0.752127 0.283972i
\(706\) −17.2551 6.86982i −0.649405 0.258549i
\(707\) −9.28621 3.37990i −0.349244 0.127114i
\(708\) 11.7138 + 7.72916i 0.440231 + 0.290480i
\(709\) −6.43156 + 5.39672i −0.241542 + 0.202678i −0.755520 0.655125i \(-0.772616\pi\)
0.513978 + 0.857803i \(0.328171\pi\)
\(710\) 6.13395 4.72487i 0.230203 0.177321i
\(711\) 16.3002 28.2327i 0.611304 1.05881i
\(712\) 38.0849 + 17.8624i 1.42729 + 0.669422i
\(713\) 2.63296 + 14.9323i 0.0986052 + 0.559218i
\(714\) 8.57275 + 1.77675i 0.320827 + 0.0664933i
\(715\) 5.60082 1.96308i 0.209459 0.0734152i
\(716\) 6.12867 25.6892i 0.229039 0.960051i
\(717\) −10.9944 + 4.00162i −0.410592 + 0.149443i
\(718\) 34.7750 + 1.03763i 1.29779 + 0.0387241i
\(719\) 18.8665 22.4842i 0.703601 0.838519i −0.289328 0.957230i \(-0.593432\pi\)
0.992929 + 0.118711i \(0.0378763\pi\)
\(720\) −17.0399 13.0850i −0.635038 0.487650i
\(721\) 10.5153i 0.391609i
\(722\) −24.9070 + 10.0818i −0.926942 + 0.375204i
\(723\) −10.6374 −0.395610
\(724\) −22.9738 + 11.4953i −0.853816 + 0.427220i
\(725\) 1.04790 0.572069i 0.0389179 0.0212461i
\(726\) −6.03441 0.180057i −0.223958 0.00668255i
\(727\) −14.7991 + 5.38642i −0.548867 + 0.199771i −0.601543 0.798840i \(-0.705447\pi\)
0.0526759 + 0.998612i \(0.483225\pi\)
\(728\) −2.38148 + 0.203021i −0.0882635 + 0.00752445i
\(729\) 0.0705855 + 0.122258i 0.00261428 + 0.00452806i
\(730\) −14.7576 + 35.8160i −0.546203 + 1.32561i
\(731\) −10.8386 + 1.91114i −0.400880 + 0.0706860i
\(732\) 8.75297 9.25011i 0.323519 0.341894i
\(733\) −30.2310 17.4538i −1.11661 0.644673i −0.176073 0.984377i \(-0.556340\pi\)
−0.940532 + 0.339704i \(0.889673\pi\)
\(734\) 28.0171 31.4356i 1.03413 1.16031i
\(735\) 4.50858 + 8.02908i 0.166301 + 0.296157i
\(736\) 18.3715 7.21985i 0.677181 0.266127i
\(737\) −31.9050 11.6125i −1.17523 0.427750i
\(738\) 15.1016 + 6.01244i 0.555897 + 0.221321i
\(739\) −22.5797 3.98141i −0.830607 0.146458i −0.257851 0.966185i \(-0.583014\pi\)
−0.572755 + 0.819726i \(0.694126\pi\)
\(740\) −45.7089 + 22.1924i −1.68029 + 0.815809i
\(741\) 0.263404 + 2.18528i 0.00967638 + 0.0802782i
\(742\) 0.640867 + 1.93884i 0.0235270 + 0.0711770i
\(743\) 37.5947 + 6.62895i 1.37921 + 0.243193i 0.813575 0.581460i \(-0.197518\pi\)
0.565639 + 0.824653i \(0.308629\pi\)
\(744\) 9.18566 2.43942i 0.336763 0.0894336i
\(745\) 2.05443 + 1.21908i 0.0752687 + 0.0446636i
\(746\) −10.7264 13.5864i −0.392720 0.497432i
\(747\) 20.2439 16.9867i 0.740687 0.621510i
\(748\) 46.1470 + 19.9870i 1.68730 + 0.730797i
\(749\) −11.3253 6.53865i −0.413817 0.238917i
\(750\) 0.802329 12.2005i 0.0292969 0.445499i
\(751\) 5.27030 + 29.8894i 0.192316 + 1.09068i 0.916189 + 0.400746i \(0.131249\pi\)
−0.723873 + 0.689933i \(0.757640\pi\)
\(752\) 33.7802 + 36.0182i 1.23184 + 1.31345i
\(753\) 4.67461 + 8.09666i 0.170352 + 0.295059i
\(754\) 0.115900 0.187592i 0.00422083 0.00683168i
\(755\) −2.44827 + 0.401602i −0.0891017 + 0.0146158i
\(756\) −3.08543 10.3619i −0.112216 0.376859i
\(757\) −15.3178 + 18.2551i −0.556736 + 0.663492i −0.968852 0.247639i \(-0.920345\pi\)
0.412116 + 0.911131i \(0.364790\pi\)
\(758\) −35.4886 + 5.17146i −1.28900 + 0.187836i
\(759\) −10.9675 −0.398097
\(760\) 20.7866 18.1085i 0.754008 0.656865i
\(761\) 23.3418 0.846140 0.423070 0.906097i \(-0.360952\pi\)
0.423070 + 0.906097i \(0.360952\pi\)
\(762\) 10.5900 1.54320i 0.383636 0.0559041i
\(763\) 1.15823 1.38032i 0.0419306 0.0499709i
\(764\) 1.12337 + 3.77264i 0.0406420 + 0.136489i
\(765\) −5.37859 32.7893i −0.194463 1.18550i
\(766\) 9.12045 14.7620i 0.329535 0.533373i
\(767\) −2.96274 5.13162i −0.106978 0.185292i
\(768\) −5.48724 11.0894i −0.198004