Properties

Label 380.2.bb.a.219.9
Level $380$
Weight $2$
Character 380.219
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 219.9
Character \(\chi\) \(=\) 380.219
Dual form 380.2.bb.a.59.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.24529 + 0.670264i) q^{2} +(0.497064 + 0.592377i) q^{3} +(1.10149 - 1.66935i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(-1.01604 - 0.404518i) q^{6} +(-0.647033 + 1.12069i) q^{7} +(-0.252775 + 2.81711i) q^{8} +(0.417106 - 2.36552i) q^{9} +O(q^{10})\) \(q+(-1.24529 + 0.670264i) q^{2} +(0.497064 + 0.592377i) q^{3} +(1.10149 - 1.66935i) q^{4} +(-1.92300 - 1.14109i) q^{5} +(-1.01604 - 0.404518i) q^{6} +(-0.647033 + 1.12069i) q^{7} +(-0.252775 + 2.81711i) q^{8} +(0.417106 - 2.36552i) q^{9} +(3.15952 + 0.132067i) q^{10} +(-3.51998 + 2.03226i) q^{11} +(1.53639 - 0.177272i) q^{12} +(0.500232 + 0.419744i) q^{13} +(0.0545826 - 1.82927i) q^{14} +(-0.279898 - 1.70633i) q^{15} +(-1.57343 - 3.67754i) 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} +(3.02125 - 4.89007i) q^{22} +(-3.27900 + 1.19346i) q^{23} +(-1.79444 + 1.25054i) q^{24} +(2.39584 + 4.38862i) q^{25} +(-0.904273 - 0.187416i) q^{26} +(3.61769 - 2.08867i) q^{27} +(1.15812 + 2.31456i) q^{28} +(0.235148 + 0.0414630i) q^{29} +(1.49225 + 1.93727i) q^{30} +(2.17265 - 3.76314i) q^{31} +(4.42430 + 3.52499i) q^{32} +(-2.95352 - 1.07499i) q^{33} +(6.86676 - 5.42127i) q^{34} +(2.52305 - 1.41677i) q^{35} +(-3.48944 - 3.30190i) q^{36} -11.3618 q^{37} +(5.73871 - 2.25104i) q^{38} +0.504966i q^{39} +(3.70065 - 5.12886i) q^{40} +(-3.07574 - 3.66552i) q^{41} +(1.11075 - 0.876932i) q^{42} +(-1.67175 - 0.608467i) q^{43} +(-0.484684 + 8.11459i) q^{44} +(-3.50136 + 4.07294i) q^{45} +(3.28337 - 3.68399i) q^{46} +(2.14370 - 12.1575i) q^{47} +(1.39640 - 2.76004i) q^{48} +(2.66270 + 4.61192i) q^{49} +(-5.92505 - 3.85925i) q^{50} +(-3.66467 - 3.07502i) q^{51} +(1.25170 - 0.372715i) q^{52} +(-1.04851 + 0.381626i) q^{53} +(-3.10511 + 5.02581i) q^{54} +(9.08791 + 0.108569i) 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} +(-3.15677 - 1.41227i) q^{60} +(7.73764 - 2.81627i) q^{61} +(-0.183281 + 6.14244i) q^{62} +(2.38115 + 1.99802i) q^{63} +(-7.87221 - 1.42419i) q^{64} +(-0.482980 - 1.37798i) q^{65} +(4.39852 - 0.640961i) q^{66} +(-8.22648 - 1.45055i) q^{67} +(-4.91742 + 11.3536i) q^{68} +(-2.33685 - 1.34918i) q^{69} +(-2.19232 + 3.45540i) q^{70} +(-2.30080 - 0.837424i) q^{71} +(6.55851 + 1.77298i) q^{72} +(7.87401 + 9.38388i) q^{73} +(14.1487 - 7.61539i) q^{74} +(-1.40883 + 3.60066i) q^{75} +(-5.63757 + 6.64965i) q^{76} -5.25977i q^{77} +(-0.338460 - 0.628829i) q^{78} +(10.3968 - 8.72395i) q^{79} +(-1.17069 + 8.86733i) q^{80} +(-3.73597 - 1.35978i) q^{81} +(6.28705 + 2.50308i) q^{82} +(-5.50091 + 9.52786i) q^{83} +(-0.795431 + 1.83653i) q^{84} +(12.9415 + 4.88616i) q^{85} +(2.48965 - 0.362796i) q^{86} +(0.0923220 + 0.159906i) q^{87} +(-4.83535 - 10.4299i) q^{88} +(-9.55984 + 11.3930i) q^{89} +(1.63026 - 7.41883i) q^{90} +(-0.794072 + 0.289019i) q^{91} +(-1.61950 + 6.78836i) q^{92} +(3.30914 - 0.583491i) q^{93} +(5.47923 + 16.5765i) q^{94} +(7.72670 + 5.94123i) q^{95} +(0.111033 + 4.37300i) q^{96} +(0.139455 + 0.790887i) q^{97} +(-6.40703 - 3.95847i) 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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(77\) \(191\)
\(\chi(n)\) \(e\left(\frac{17}{18}\right)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.24529 + 0.670264i −0.880553 + 0.473948i
\(3\) 0.497064 + 0.592377i 0.286980 + 0.342009i 0.890204 0.455563i \(-0.150562\pi\)
−0.603224 + 0.797572i \(0.706117\pi\)
\(4\) 1.10149 1.66935i 0.550746 0.834673i
\(5\) −1.92300 1.14109i −0.859991 0.510310i
\(6\) −1.01604 0.404518i −0.414796 0.165144i
\(7\) −0.647033 + 1.12069i −0.244556 + 0.423583i −0.962007 0.273026i \(-0.911975\pi\)
0.717451 + 0.696609i \(0.245309\pi\)
\(8\) −0.252775 + 2.81711i −0.0893693 + 0.995999i
\(9\) 0.417106 2.36552i 0.139035 0.788508i
\(10\) 3.15952 + 0.132067i 0.999128 + 0.0417634i
\(11\) −3.51998 + 2.03226i −1.06131 + 0.612750i −0.925796 0.378024i \(-0.876604\pi\)
−0.135519 + 0.990775i \(0.543270\pi\)
\(12\) 1.53639 0.177272i 0.443519 0.0511740i
\(13\) 0.500232 + 0.419744i 0.138739 + 0.116416i 0.709516 0.704689i \(-0.248913\pi\)
−0.570777 + 0.821105i \(0.693358\pi\)
\(14\) 0.0545826 1.82927i 0.0145878 0.488894i
\(15\) −0.279898 1.70633i −0.0722694 0.440573i
\(16\) −1.57343 3.67754i −0.393357 0.919386i
\(17\) −6.09239 + 1.07425i −1.47762 + 0.260545i −0.853628 0.520884i \(-0.825602\pi\)
−0.623995 + 0.781428i \(0.714491\pi\)
\(18\) 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
\(22\) 3.02125 4.89007i 0.644132 1.04257i
\(23\) −3.27900 + 1.19346i −0.683718 + 0.248853i −0.660443 0.750876i \(-0.729631\pi\)
−0.0232748 + 0.999729i \(0.507409\pi\)
\(24\) −1.79444 + 1.25054i −0.366288 + 0.255266i
\(25\) 2.39584 + 4.38862i 0.479168 + 0.877723i
\(26\) −0.904273 0.187416i −0.177343 0.0367553i
\(27\) 3.61769 2.08867i 0.696224 0.401965i
\(28\) 1.15812 + 2.31456i 0.218865 + 0.437411i
\(29\) 0.235148 + 0.0414630i 0.0436660 + 0.00769949i 0.195438 0.980716i \(-0.437387\pi\)
−0.151773 + 0.988415i \(0.548498\pi\)
\(30\) 1.49225 + 1.93727i 0.272446 + 0.353696i
\(31\) 2.17265 3.76314i 0.390219 0.675880i −0.602259 0.798301i \(-0.705733\pi\)
0.992478 + 0.122421i \(0.0390659\pi\)
\(32\) 4.42430 + 3.52499i 0.782113 + 0.623136i
\(33\) −2.95352 1.07499i −0.514142 0.187132i
\(34\) 6.86676 5.42127i 1.17764 0.929740i
\(35\) 2.52305 1.41677i 0.426474 0.239478i
\(36\) −3.48944 3.30190i −0.581573 0.550317i
\(37\) −11.3618 −1.86787 −0.933933 0.357449i \(-0.883647\pi\)
−0.933933 + 0.357449i \(0.883647\pi\)
\(38\) 5.73871 2.25104i 0.930942 0.365167i
\(39\) 0.504966i 0.0808592i
\(40\) 3.70065 5.12886i 0.585124 0.810944i
\(41\) −3.07574 3.66552i −0.480349 0.572458i 0.470386 0.882461i \(-0.344115\pi\)
−0.950736 + 0.310003i \(0.899670\pi\)
\(42\) 1.11075 0.876932i 0.171393 0.135313i
\(43\) −1.67175 0.608467i −0.254939 0.0927904i 0.211389 0.977402i \(-0.432201\pi\)
−0.466328 + 0.884612i \(0.654424\pi\)
\(44\) −0.484684 + 8.11459i −0.0730689 + 1.22332i
\(45\) −3.50136 + 4.07294i −0.521952 + 0.607159i
\(46\) 3.28337 3.68399i 0.484106 0.543175i
\(47\) 2.14370 12.1575i 0.312691 1.77336i −0.272195 0.962242i \(-0.587750\pi\)
0.584886 0.811115i \(-0.301139\pi\)
\(48\) 1.39640 2.76004i 0.201553 0.398377i
\(49\) 2.66270 + 4.61192i 0.380385 + 0.658846i
\(50\) −5.92505 3.85925i −0.837928 0.545780i
\(51\) −3.66467 3.07502i −0.513157 0.430590i
\(52\) 1.25170 0.372715i 0.173580 0.0516862i
\(53\) −1.04851 + 0.381626i −0.144024 + 0.0524203i −0.413026 0.910719i \(-0.635528\pi\)
0.269003 + 0.963139i \(0.413306\pi\)
\(54\) −3.10511 + 5.02581i −0.422552 + 0.683926i
\(55\) 9.08791 + 0.108569i 1.22541 + 0.0146394i
\(56\) −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 0.897219 + 0.441586i \(0.145584\pi\)
−0.692079 + 0.721822i \(0.743305\pi\)
\(60\) −3.15677 1.41227i −0.407537 0.182323i
\(61\) 7.73764 2.81627i 0.990703 0.360586i 0.204711 0.978823i \(-0.434375\pi\)
0.785992 + 0.618236i \(0.212152\pi\)
\(62\) −0.183281 + 6.14244i −0.0232767 + 0.780091i
\(63\) 2.38115 + 1.99802i 0.299997 + 0.251727i
\(64\) −7.87221 1.42419i −0.984026 0.178023i
\(65\) −0.482980 1.37798i −0.0599063 0.170917i
\(66\) 4.39852 0.640961i 0.541421 0.0788968i
\(67\) −8.22648 1.45055i −1.00502 0.177213i −0.353172 0.935559i \(-0.614897\pi\)
−0.651853 + 0.758346i \(0.726008\pi\)
\(68\) −4.91742 + 11.3536i −0.596325 + 1.37683i
\(69\) −2.33685 1.34918i −0.281323 0.162422i
\(70\) −2.19232 + 3.45540i −0.262033 + 0.413000i
\(71\) −2.30080 0.837424i −0.273055 0.0993840i 0.201863 0.979414i \(-0.435300\pi\)
−0.474919 + 0.880030i \(0.657523\pi\)
\(72\) 6.55851 + 1.77298i 0.772928 + 0.208947i
\(73\) 7.87401 + 9.38388i 0.921583 + 1.09830i 0.994887 + 0.100991i \(0.0322012\pi\)
−0.0733041 + 0.997310i \(0.523354\pi\)
\(74\) 14.1487 7.61539i 1.64475 0.885272i
\(75\) −1.40883 + 3.60066i −0.162678 + 0.415769i
\(76\) −5.63757 + 6.64965i −0.646673 + 0.762767i
\(77\) 5.25977i 0.599406i
\(78\) −0.338460 0.628829i −0.0383231 0.0712008i
\(79\) 10.3968 8.72395i 1.16973 0.981521i 0.169739 0.985489i \(-0.445707\pi\)
0.999992 + 0.00396763i \(0.00126294\pi\)
\(80\) −1.17069 + 8.86733i −0.130888 + 0.991397i
\(81\) −3.73597 1.35978i −0.415107 0.151087i
\(82\) 6.28705 + 2.50308i 0.694288 + 0.276419i
\(83\) −5.50091 + 9.52786i −0.603804 + 1.04582i 0.388436 + 0.921476i \(0.373016\pi\)
−0.992239 + 0.124343i \(0.960318\pi\)
\(84\) −0.795431 + 1.83653i −0.0867886 + 0.200382i
\(85\) 12.9415 + 4.88616i 1.40370 + 0.529979i
\(86\) 2.48965 0.362796i 0.268465 0.0391213i
\(87\) 0.0923220 + 0.159906i 0.00989796 + 0.0171438i
\(88\) −4.83535 10.4299i −0.515450 1.11183i
\(89\) −9.55984 + 11.3930i −1.01334 + 1.20765i −0.0352707 + 0.999378i \(0.511229\pi\)
−0.978070 + 0.208275i \(0.933215\pi\)
\(90\) 1.63026 7.41883i 0.171845 0.782014i
\(91\) −0.794072 + 0.289019i −0.0832414 + 0.0302974i
\(92\) −1.61950 + 6.78836i −0.168844 + 0.707735i
\(93\) 3.30914 0.583491i 0.343142 0.0605052i
\(94\) 5.47923 + 16.5765i 0.565139 + 1.70973i
\(95\) 7.72670 + 5.94123i 0.792742 + 0.609557i
\(96\) 0.111033 + 4.37300i 0.0113323 + 0.446318i
\(97\) 0.139455 + 0.790887i 0.0141595 + 0.0803024i 0.991069 0.133353i \(-0.0425743\pi\)
−0.976909 + 0.213655i \(0.931463\pi\)
\(98\) −6.40703 3.95847i −0.647208 0.399866i
\(99\) 3.33916 + 9.17427i 0.335599 + 0.922049i
\(100\) 9.96512 + 0.834539i 0.996512 + 0.0834539i
\(101\) 5.84992 + 4.90866i 0.582089 + 0.488430i 0.885632 0.464387i \(-0.153725\pi\)
−0.303544 + 0.952818i \(0.598170\pi\)
\(102\) 6.62465 + 1.37300i 0.655939 + 0.135947i
\(103\) 7.03711 4.06287i 0.693387 0.400327i −0.111493 0.993765i \(-0.535563\pi\)
0.804880 + 0.593438i \(0.202230\pi\)
\(104\) −1.30891 + 1.30311i −0.128349 + 0.127780i
\(105\) 2.09338 + 0.790374i 0.204293 + 0.0771326i
\(106\) 1.04991 1.17801i 0.101976 0.114419i
\(107\) 8.75169 + 5.05279i 0.846058 + 0.488472i 0.859319 0.511440i \(-0.170888\pi\)
−0.0132607 + 0.999912i \(0.504221\pi\)
\(108\) 0.498138 8.33983i 0.0479333 0.802500i
\(109\) 0.476234 1.30844i 0.0456150 0.125326i −0.914793 0.403922i \(-0.867647\pi\)
0.960408 + 0.278596i \(0.0898690\pi\)
\(110\) −11.3898 + 5.95610i −1.08598 + 0.567892i
\(111\) −5.64753 6.73046i −0.536040 0.638827i
\(112\) 5.13946 + 0.616159i 0.485634 + 0.0582215i
\(113\) 7.44050 0.699943 0.349972 0.936760i \(-0.386191\pi\)
0.349972 + 0.936760i \(0.386191\pi\)
\(114\) 4.18597 + 2.28057i 0.392052 + 0.213595i
\(115\) 7.66734 + 1.44660i 0.714983 + 0.134897i
\(116\) 0.328230 0.346873i 0.0304754 0.0322063i
\(117\) 1.20157 1.00823i 0.111085 0.0932112i
\(118\) −7.95190 10.0721i −0.732032 0.927216i
\(119\) 2.73807 7.52279i 0.250999 0.689613i
\(120\) 4.87768 0.357186i 0.445269 0.0326065i
\(121\) 2.76019 4.78078i 0.250926 0.434617i
\(122\) −7.74796 + 8.69333i −0.701467 + 0.787057i
\(123\) 0.642534 3.64399i 0.0579354 0.328568i
\(124\) −3.88882 7.77197i −0.349227 0.697943i
\(125\) 0.400594 11.1732i 0.0358302 0.999358i
\(126\) −4.30442 0.892117i −0.383469 0.0794761i
\(127\) −6.29024 + 7.49641i −0.558168 + 0.665199i −0.969158 0.246441i \(-0.920739\pi\)
0.410989 + 0.911640i \(0.365183\pi\)
\(128\) 10.7578 3.50293i 0.950861 0.309619i
\(129\) −0.470524 1.29275i −0.0414273 0.113821i
\(130\) 1.52506 + 1.39225i 0.133756 + 0.122109i
\(131\) −0.592416 + 0.104459i −0.0517597 + 0.00912662i −0.199468 0.979904i \(-0.563921\pi\)
0.147708 + 0.989031i \(0.452810\pi\)
\(132\) −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
\(135\) −9.34016 0.111583i −0.803873 0.00960350i
\(136\) −1.48629 17.4345i −0.127448 1.49499i
\(137\) −4.81932 13.2410i −0.411742 1.13125i −0.956264 0.292505i \(-0.905511\pi\)
0.544522 0.838747i \(-0.316711\pi\)
\(138\) 3.81436 + 0.113814i 0.324700 + 0.00968852i
\(139\) −10.1432 + 12.0882i −0.860334 + 1.02531i 0.139053 + 0.990285i \(0.455594\pi\)
−0.999387 + 0.0350210i \(0.988850\pi\)
\(140\) 0.414042 5.77241i 0.0349929 0.487858i
\(141\) 8.26740 4.77319i 0.696241 0.401975i
\(142\) 3.42646 0.499311i 0.287542 0.0419012i
\(143\) −2.61384 0.460890i −0.218580 0.0385416i
\(144\) −9.35560 + 2.18806i −0.779634 + 0.182339i
\(145\) −0.404877 0.348058i −0.0336232 0.0289046i
\(146\) −16.0951 6.40798i −1.33204 0.530328i
\(147\) −1.40847 + 3.86974i −0.116169 + 0.319171i
\(148\) −12.5149 + 18.9667i −1.02872 + 1.55906i
\(149\) −0.818404 + 0.686722i −0.0670462 + 0.0562585i −0.675695 0.737181i \(-0.736156\pi\)
0.608649 + 0.793440i \(0.291712\pi\)
\(150\) −0.658993 5.42816i −0.0538065 0.443207i
\(151\) −1.10953 −0.0902925 −0.0451463 0.998980i \(-0.514375\pi\)
−0.0451463 + 0.998980i \(0.514375\pi\)
\(152\) 2.56338 12.0594i 0.207918 0.978146i
\(153\) 14.8598i 1.20134i
\(154\) 3.52543 + 6.54994i 0.284088 + 0.527809i
\(155\) −8.47207 + 4.75733i −0.680493 + 0.382118i
\(156\) 0.842962 + 0.556216i 0.0674910 + 0.0445329i
\(157\) −3.04036 + 8.35332i −0.242647 + 0.666668i 0.757261 + 0.653112i \(0.226537\pi\)
−0.999908 + 0.0135552i \(0.995685\pi\)
\(158\) −7.09968 + 17.8324i −0.564820 + 1.41867i
\(159\) −0.747242 0.431420i −0.0592601 0.0342138i
\(160\) −4.48560 11.8271i −0.354618 0.935011i
\(161\) 0.784119 4.44696i 0.0617972 0.350469i
\(162\) 5.56377 0.810764i 0.437131 0.0636996i
\(163\) −1.43302 2.48207i −0.112243 0.194411i 0.804431 0.594046i \(-0.202470\pi\)
−0.916674 + 0.399635i \(0.869137\pi\)
\(164\) −9.50692 + 1.09693i −0.742366 + 0.0856555i
\(165\) 4.45296 + 5.43744i 0.346662 + 0.423304i
\(166\) 0.464047 15.5520i 0.0360171 1.20707i
\(167\) −1.48086 4.06863i −0.114592 0.314840i 0.869117 0.494607i \(-0.164688\pi\)
−0.983709 + 0.179767i \(0.942466\pi\)
\(168\) −0.240418 2.82016i −0.0185487 0.217580i
\(169\) −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 −0.932276 0.361749i \(-0.882180\pi\)
0.752327 0.658789i \(-0.228931\pi\)
\(174\) −0.222147 0.137250i −0.0168409 0.0104049i
\(175\) −6.46849 0.154574i −0.488972 0.0116847i
\(176\) 13.0122 + 9.74726i 0.980830 + 0.734728i
\(177\) −4.51044 + 5.37533i −0.339025 + 0.404034i
\(178\) 4.26847 20.5952i 0.319935 1.54367i
\(179\) −6.60254 11.4359i −0.493497 0.854762i 0.506475 0.862255i \(-0.330948\pi\)
−0.999972 + 0.00749289i \(0.997615\pi\)
\(180\) 2.94243 + 10.3313i 0.219316 + 0.770050i
\(181\) −12.6495 2.23045i −0.940230 0.165788i −0.317530 0.948248i \(-0.602853\pi\)
−0.622700 + 0.782460i \(0.713964\pi\)
\(182\) 0.795131 0.892150i 0.0589390 0.0661306i
\(183\) 5.51439 + 3.18374i 0.407636 + 0.235349i
\(184\) −2.53325 9.53896i −0.186754 0.703222i
\(185\) 21.8487 + 12.9648i 1.60635 + 0.953190i
\(186\) −3.72975 + 2.94462i −0.273478 + 0.215910i
\(187\) 19.2620 16.1627i 1.40857 1.18193i
\(188\) −17.9338 16.9700i −1.30796 1.23766i
\(189\) 5.40577i 0.393212i
\(190\) −13.6042 2.21962i −0.986950 0.161028i
\(191\) 1.96817i 0.142412i 0.997462 + 0.0712059i \(0.0226847\pi\)
−0.997462 + 0.0712059i \(0.977315\pi\)
\(192\) −3.06933 5.37123i −0.221510 0.387635i
\(193\) 9.09531 7.63187i 0.654695 0.549354i −0.253797 0.967258i \(-0.581679\pi\)
0.908491 + 0.417904i \(0.137235\pi\)
\(194\) −0.703764 0.891412i −0.0505273 0.0639996i
\(195\) 0.576210 0.971048i 0.0412632 0.0695382i
\(196\) 10.6318 + 0.635039i 0.759417 + 0.0453600i
\(197\) −9.40767 5.43152i −0.670269 0.386980i 0.125910 0.992042i \(-0.459815\pi\)
−0.796179 + 0.605062i \(0.793148\pi\)
\(198\) −10.3074 9.18651i −0.732516 0.652857i
\(199\) −0.987286 0.174085i −0.0699869 0.0123406i 0.138545 0.990356i \(-0.455757\pi\)
−0.208532 + 0.978016i \(0.566869\pi\)
\(200\) −12.9688 + 5.64002i −0.917034 + 0.398809i
\(201\) −3.22981 5.59420i −0.227813 0.394584i
\(202\) −10.5749 2.19172i −0.744051 0.154209i
\(203\) −0.198616 + 0.236702i −0.0139401 + 0.0166132i
\(204\) −9.16988 + 2.73049i −0.642020 + 0.191172i
\(205\) 1.73196 + 10.5585i 0.120965 + 0.737435i
\(206\) −6.04004 + 9.77617i −0.420829 + 0.681138i
\(207\) 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 −0.672750 0.739870i \(-0.734887\pi\)
0.379128 0.925344i \(-0.376224\pi\)
\(212\) −0.517858 + 2.17068i −0.0355667 + 0.149083i
\(213\) −0.647575 1.77920i −0.0443711 0.121909i
\(214\) −14.2851 0.426245i −0.976509 0.0291375i
\(215\) 2.52046 + 3.07769i 0.171894 + 0.209897i
\(216\) 4.96956 + 10.7194i 0.338136 + 0.729362i
\(217\) 2.81155 + 4.86975i 0.190861 + 0.330580i
\(218\) 0.283953 + 1.94859i 0.0192317 + 0.131975i
\(219\) −1.64491 + 9.32877i −0.111153 + 0.630380i
\(220\) 10.1915 15.0513i 0.687111 1.01476i
\(221\) −3.49852 2.01987i −0.235336 0.135871i
\(222\) 11.5440 + 4.59604i 0.774782 + 0.308466i
\(223\) 1.95990 5.38479i 0.131245 0.360592i −0.856612 0.515962i \(-0.827435\pi\)
0.987856 + 0.155370i \(0.0496569\pi\)
\(224\) −6.81311 + 2.67750i −0.455220 + 0.178898i
\(225\) 11.3807 3.83690i 0.758713 0.255794i
\(226\) −9.26558 + 4.98710i −0.616337 + 0.331737i
\(227\) 14.8537i 0.985873i 0.870065 + 0.492936i \(0.164076\pi\)
−0.870065 + 0.492936i \(0.835924\pi\)
\(228\) −6.74133 0.0342673i −0.446456 0.00226941i
\(229\) 8.14498 0.538235 0.269118 0.963107i \(-0.413268\pi\)
0.269118 + 0.963107i \(0.413268\pi\)
\(230\) −10.5177 + 3.33770i −0.693514 + 0.220081i
\(231\) 3.11577 2.61444i 0.205003 0.172018i
\(232\) −0.176245 + 0.651958i −0.0115711 + 0.0428031i
\(233\) 2.99173 8.21972i 0.195995 0.538492i −0.802296 0.596926i \(-0.796389\pi\)
0.998291 + 0.0584342i \(0.0186108\pi\)
\(234\) −0.820514 + 2.06091i −0.0536387 + 0.134726i
\(235\) −17.9951 + 20.9327i −1.17387 + 1.36550i
\(236\) 16.6534 + 7.21286i 1.08404 + 0.469517i
\(237\) 10.3357 + 1.82247i 0.671379 + 0.118382i
\(238\) 1.63256 + 11.2033i 0.105823 + 0.726201i
\(239\) 13.1030 7.56501i 0.847562 0.489340i −0.0122657 0.999925i \(-0.503904\pi\)
0.859827 + 0.510585i \(0.170571\pi\)
\(240\) −5.83471 + 3.71413i −0.376629 + 0.239746i
\(241\) −8.84218 + 10.5377i −0.569575 + 0.678793i −0.971544 0.236861i \(-0.923882\pi\)
0.401969 + 0.915653i \(0.368326\pi\)
\(242\) −0.232844 + 7.80351i −0.0149678 + 0.501629i
\(243\) −5.33772 14.6653i −0.342415 0.940777i
\(244\) 3.82162 16.0189i 0.244654 1.02550i
\(245\) 0.142248 11.9071i 0.00908792 0.760716i
\(246\) 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
\(250\) 6.99011 + 14.1823i 0.442094 + 0.896969i
\(251\) 4.13506 + 11.3610i 0.261003 + 0.717100i 0.999100 + 0.0424057i \(0.0135022\pi\)
−0.738098 + 0.674694i \(0.764276\pi\)
\(252\) 5.95821 1.77416i 0.375332 0.111761i
\(253\) 9.11659 10.8647i 0.573155 0.683060i
\(254\) 2.80859 13.5513i 0.176227 0.850286i
\(255\) 3.53828 + 10.0950i 0.221576 + 0.632172i
\(256\) −11.0486 + 11.5727i −0.690540 + 0.723294i
\(257\) 4.04349 22.9318i 0.252226 1.43044i −0.550868 0.834592i \(-0.685703\pi\)
0.803094 0.595852i \(-0.203186\pi\)
\(258\) 1.45242 + 1.29448i 0.0904240 + 0.0805907i
\(259\) 7.35145 12.7331i 0.456797 0.791196i
\(260\) −2.83232 0.711569i −0.175653 0.0441296i
\(261\) 0.196164 0.538955i 0.0121422 0.0333605i
\(262\) 0.667715 0.527157i 0.0412516 0.0325679i
\(263\) 5.40776 4.53765i 0.333457 0.279803i −0.460650 0.887582i \(-0.652384\pi\)
0.794107 + 0.607778i \(0.207939\pi\)
\(264\) 3.77495 8.04867i 0.232332 0.495361i
\(265\) 2.45175 + 0.462573i 0.150610 + 0.0284157i
\(266\) −1.19041 + 7.88784i −0.0729886 + 0.483635i
\(267\) −11.5008 −0.703837
\(268\) −11.4829 + 12.1351i −0.701428 + 0.741267i
\(269\) −12.2528 14.6023i −0.747068 0.890321i 0.249889 0.968274i \(-0.419606\pi\)
−0.996957 + 0.0779535i \(0.975161\pi\)
\(270\) 11.7060 6.12142i 0.712404 0.372538i
\(271\) −5.50726 + 15.1311i −0.334542 + 0.919147i 0.652372 + 0.757899i \(0.273774\pi\)
−0.986914 + 0.161248i \(0.948448\pi\)
\(272\) 13.5366 + 20.7148i 0.820775 + 1.25602i
\(273\) −0.565913 0.326730i −0.0342506 0.0197746i
\(274\) 14.8764 + 13.2586i 0.898716 + 0.800983i
\(275\) −17.3521 10.5789i −1.04637 0.637930i
\(276\) −4.82626 + 2.41489i −0.290507 + 0.145360i
\(277\) −21.3155 + 12.3065i −1.28072 + 0.739425i −0.976980 0.213329i \(-0.931569\pi\)
−0.303741 + 0.952755i \(0.598236\pi\)
\(278\) 4.52893 21.8519i 0.271627 1.31059i
\(279\) −7.99557 6.70908i −0.478682 0.401662i
\(280\) 3.35344 + 7.46584i 0.200406 + 0.446170i
\(281\) 4.50045 + 12.3649i 0.268474 + 0.737627i 0.998528 + 0.0542372i \(0.0172727\pi\)
−0.730054 + 0.683390i \(0.760505\pi\)
\(282\) −7.09601 + 11.4853i −0.422561 + 0.683942i
\(283\) 4.45275 + 25.2528i 0.264689 + 1.50112i 0.769920 + 0.638140i \(0.220296\pi\)
−0.505231 + 0.862984i \(0.668593\pi\)
\(284\) −3.93227 + 2.91842i −0.233337 + 0.173176i
\(285\) 0.321211 + 7.53029i 0.0190269 + 0.446056i
\(286\) 3.56390 1.17802i 0.210738 0.0696578i
\(287\) 6.09803 1.07525i 0.359956 0.0634699i
\(288\) 10.1839 8.99550i 0.600090 0.530065i
\(289\) 19.9885 7.27520i 1.17579 0.427953i
\(290\) 0.737480 + 0.162059i 0.0433063 + 0.00951641i
\(291\) −0.399186 + 0.475731i −0.0234007 + 0.0278878i
\(292\) 24.3381 2.80817i 1.42428 0.164336i
\(293\) 5.19491 + 8.99785i 0.303490 + 0.525660i 0.976924 0.213587i \(-0.0685147\pi\)
−0.673434 + 0.739247i \(0.735181\pi\)
\(294\) −0.839794 5.76299i −0.0489778 0.336105i
\(295\) 7.16701 18.9825i 0.417279 1.10520i
\(296\) 2.87197 32.0074i 0.166930 1.86039i
\(297\) −8.48947 + 14.7042i −0.492609 + 0.853224i
\(298\) 0.558864 1.40371i 0.0323741 0.0813150i
\(299\) −2.14120 0.779335i −0.123829 0.0450701i
\(300\) 4.45894 + 6.31793i 0.257437 + 0.364766i
\(301\) 1.76358 1.47982i 0.101651 0.0852956i
\(302\) 1.38169 0.743680i 0.0795073 0.0427940i
\(303\) 5.90528i 0.339249i
\(304\) 4.89083 + 16.7356i 0.280508 + 0.959852i
\(305\) −18.0931 3.41364i −1.03601 0.195464i
\(306\) −9.95998 18.5047i −0.569374 1.05785i
\(307\) −20.8203 24.8127i −1.18828 1.41613i −0.886483 0.462760i \(-0.846859\pi\)
−0.301794 0.953373i \(-0.597585\pi\)
\(308\) −8.78037 5.79360i −0.500308 0.330121i
\(309\) 5.90465 + 2.14912i 0.335904 + 0.122259i
\(310\) 7.36151 11.6028i 0.418106 0.658993i
\(311\) 21.3810 + 12.3443i 1.21240 + 0.699982i 0.963282 0.268490i \(-0.0865247\pi\)
0.249122 + 0.968472i \(0.419858\pi\)
\(312\) −1.42254 0.127642i −0.0805357 0.00722633i
\(313\) −21.1754 3.73380i −1.19691 0.211047i −0.460546 0.887636i \(-0.652346\pi\)
−0.736361 + 0.676589i \(0.763458\pi\)
\(314\) −1.81280 12.4401i −0.102302 0.702038i
\(315\) −2.29903 6.55929i −0.129536 0.369574i
\(316\) −3.11130 26.9652i −0.175024 1.51691i
\(317\) −4.65198 3.90347i −0.261281 0.219241i 0.502731 0.864443i \(-0.332329\pi\)
−0.764012 + 0.645202i \(0.776773\pi\)
\(318\) 1.21970 + 0.0363938i 0.0683973 + 0.00204087i
\(319\) −0.911982 + 0.331934i −0.0510612 + 0.0185848i
\(320\) 13.5131 + 11.7216i 0.755406 + 0.655256i
\(321\) 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
\(325\) −0.643620 + 3.20097i −0.0357016 + 0.177558i
\(326\) 3.44817 + 2.13039i 0.190976 + 0.117991i
\(327\) 1.01181 0.368269i 0.0559533 0.0203653i
\(328\) 11.1036 7.73814i 0.613096 0.427267i
\(329\) 12.2378 + 10.2688i 0.674693 + 0.566135i
\(330\) −9.18974 3.78653i −0.505878 0.208442i
\(331\) 14.1358 + 24.4840i 0.776975 + 1.34576i 0.933678 + 0.358115i \(0.116580\pi\)
−0.156703 + 0.987646i \(0.550086\pi\)
\(332\) 9.84608 + 19.6778i 0.540374 + 1.07996i
\(333\) −4.73907 + 26.8766i −0.259699 + 1.47283i
\(334\) 4.57116 + 4.07406i 0.250123 + 0.222922i
\(335\) 14.1643 + 12.1765i 0.773878 + 0.665275i
\(336\) 2.18964 + 3.35077i 0.119455 + 0.182800i
\(337\) −19.6601 7.15567i −1.07095 0.389794i −0.254419 0.967094i \(-0.581884\pi\)
−0.816532 + 0.577300i \(0.804106\pi\)
\(338\) 11.0185 + 13.9564i 0.599329 + 0.759130i
\(339\) 3.69840 + 4.40758i 0.200870 + 0.239387i
\(340\) 22.4116 16.2217i 1.21544 0.879746i
\(341\) 17.6616i 0.956428i
\(342\) −2.93124 14.5140i −0.158503 0.784826i
\(343\) −15.9499 −0.861213
\(344\) 2.13669 4.55570i 0.115203 0.245627i
\(345\) 2.95422 + 5.26101i 0.159050 + 0.283243i
\(346\) 11.9444 + 15.1292i 0.642136 + 0.813351i
\(347\) −1.61068 0.586241i −0.0864660 0.0314711i 0.298425 0.954433i \(-0.403539\pi\)
−0.384891 + 0.922962i \(0.625761\pi\)
\(348\) 0.368631 + 0.0220183i 0.0197607 + 0.00118031i
\(349\) −13.4455 + 23.2883i −0.719722 + 1.24660i 0.241388 + 0.970429i \(0.422397\pi\)
−0.961110 + 0.276166i \(0.910936\pi\)
\(350\) 8.15875 4.14311i 0.436103 0.221458i
\(351\) 2.68639 + 0.473683i 0.143389 + 0.0252833i
\(352\) −22.7372 3.41657i −1.21190 0.182104i
\(353\) −11.3732 + 6.56633i −0.605335 + 0.349491i −0.771138 0.636669i \(-0.780312\pi\)
0.165802 + 0.986159i \(0.446979\pi\)
\(354\) 2.01391 9.71702i 0.107038 0.516454i
\(355\) 3.46887 + 4.23578i 0.184108 + 0.224812i
\(356\) 8.48872 + 28.5079i 0.449901 + 1.51092i
\(357\) 5.81733 2.11733i 0.307886 0.112061i
\(358\) 15.8872 + 9.81560i 0.839663 + 0.518771i
\(359\) 24.2269 4.27185i 1.27865 0.225460i 0.507241 0.861804i \(-0.330666\pi\)
0.771405 + 0.636345i \(0.219554\pi\)
\(360\) −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
\(364\) −0.392192 + 1.64393i −0.0205565 + 0.0861655i
\(365\) −4.43388 27.0301i −0.232080 1.41482i
\(366\) −9.00096 0.268574i −0.470488 0.0140386i
\(367\) −22.8093 19.1393i −1.19064 0.999064i −0.999848 0.0174328i \(-0.994451\pi\)
−0.190790 0.981631i \(-0.561105\pi\)
\(368\) 9.54826 + 10.1808i 0.497737 + 0.530712i
\(369\) −9.95378 + 5.74682i −0.518173 + 0.299168i
\(370\) −35.8978 1.50052i −1.86624 0.0780084i
\(371\) 0.250734 1.42198i 0.0130175 0.0738256i
\(372\) 2.67095 6.16681i 0.138482 0.319734i
\(373\) −6.12009 + 10.6003i −0.316886 + 0.548863i −0.979837 0.199800i \(-0.935971\pi\)
0.662950 + 0.748663i \(0.269304\pi\)
\(374\) −13.1534 + 33.0378i −0.680148 + 1.70835i
\(375\) 6.81785 5.31647i 0.352072 0.274541i
\(376\) 33.7072 + 9.11215i 1.73832 + 0.469923i
\(377\) 0.100225 + 0.119443i 0.00516184 + 0.00615164i
\(378\) −3.62329 6.73174i −0.186362 0.346244i
\(379\) −25.3592 −1.30262 −0.651308 0.758813i \(-0.725780\pi\)
−0.651308 + 0.758813i \(0.725780\pi\)
\(380\) 18.4289 6.35431i 0.945380 0.325969i
\(381\) −7.56736 −0.387687
\(382\) −1.31919 2.45094i −0.0674958 0.125401i
\(383\) −7.88693 9.39927i −0.403003 0.480280i 0.525930 0.850528i \(-0.323717\pi\)
−0.928933 + 0.370247i \(0.879273\pi\)
\(384\) 7.42235 + 4.63147i 0.378770 + 0.236349i
\(385\) −6.00185 + 10.1145i −0.305883 + 0.515484i
\(386\) −6.21093 + 15.6001i −0.316128 + 0.794027i
\(387\) −2.13664 + 3.70077i −0.108612 + 0.188121i
\(388\) 1.47387 + 0.638358i 0.0748245 + 0.0324077i
\(389\) −0.548095 + 3.10840i −0.0277895 + 0.157602i −0.995545 0.0942902i \(-0.969942\pi\)
0.967755 + 0.251893i \(0.0810529\pi\)
\(390\) −0.0666895 + 1.59545i −0.00337695 + 0.0807887i
\(391\) 18.6949 10.7935i 0.945439 0.545850i
\(392\) −13.6654 + 6.33533i −0.690205 + 0.319982i
\(393\) −0.356348 0.299011i −0.0179754 0.0150831i
\(394\) 15.3558 + 0.458194i 0.773616 + 0.0230835i
\(395\) −29.9478 + 4.91249i −1.50684 + 0.247174i
\(396\) 18.9931 + 4.53118i 0.954439 + 0.227700i
\(397\) −23.3841 + 4.12325i −1.17362 + 0.206940i −0.726262 0.687418i \(-0.758744\pi\)
−0.447353 + 0.894358i \(0.647633\pi\)
\(398\) 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 −0.988586 0.150658i \(-0.951861\pi\)
−0.877439 + 0.479689i \(0.840750\pi\)
\(402\) 7.77164 + 4.80157i 0.387614 + 0.239480i
\(403\) 2.66638 0.970484i 0.132822 0.0483433i
\(404\) 14.6379 4.35868i 0.728263 0.216852i
\(405\) 5.63263 + 6.87792i 0.279888 + 0.341767i
\(406\) 0.0886822 0.427887i 0.00440122 0.0212357i
\(407\) 39.9933 23.0901i 1.98239 1.14454i
\(408\) 9.58901 9.54649i 0.474727 0.472622i
\(409\) −13.6552 2.40777i −0.675204 0.119057i −0.174476 0.984661i \(-0.555823\pi\)
−0.500728 + 0.865605i \(0.666934\pi\)
\(410\) −9.23375 11.9875i −0.456022 0.592020i
\(411\) 5.44814 9.43646i 0.268737 0.465466i
\(412\) 0.968975 16.2226i 0.0477380 0.799230i
\(413\) −11.0344 4.01620i −0.542968 0.197624i
\(414\) −7.34506 9.30350i −0.360990 0.457242i
\(415\) 21.4504 12.0450i 1.05296 0.591268i
\(416\) 0.733580 + 3.62039i 0.0359667 + 0.177504i
\(417\) −12.2026 −0.597563
\(418\) −15.6255 + 19.5862i −0.764266 + 0.957992i
\(419\) 8.75463i 0.427692i −0.976867 0.213846i \(-0.931401\pi\)
0.976867 0.213846i \(-0.0685990\pi\)
\(420\) 3.62525 2.62399i 0.176894 0.128038i
\(421\) 2.42433 + 2.88920i 0.118154 + 0.140811i 0.821879 0.569662i \(-0.192926\pi\)
−0.703725 + 0.710473i \(0.748481\pi\)
\(422\) 21.5241 + 27.2631i 1.04777 + 1.32715i
\(423\) −27.8648 10.1419i −1.35483 0.493118i
\(424\) −0.810045 3.05023i −0.0393393 0.148132i
\(425\) −19.3109 24.1634i −0.936716 1.17210i
\(426\) 1.99895 + 1.78157i 0.0968495 + 0.0863173i
\(427\) −1.85033 + 10.4938i −0.0895438 + 0.507828i
\(428\) 18.0748 9.04399i 0.873677 0.437158i
\(429\) −1.02622 1.77747i −0.0495465 0.0858171i
\(430\) −5.20157 2.14325i −0.250842 0.103357i
\(431\) −17.6866 14.8408i −0.851933 0.714857i 0.108281 0.994120i \(-0.465465\pi\)
−0.960215 + 0.279263i \(0.909910\pi\)
\(432\) −13.3734 10.0178i −0.643426 0.481983i
\(433\) 20.1855 7.34691i 0.970052 0.353070i 0.192087 0.981378i \(-0.438474\pi\)
0.777965 + 0.628308i \(0.216252\pi\)
\(434\) −6.76522 4.17977i −0.324741 0.200635i
\(435\) 0.00493209 0.412847i 0.000236476 0.0197945i
\(436\) −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 0.997382 + 0.0723180i \(0.0230396\pi\)
−0.912498 + 0.409081i \(0.865849\pi\)
\(440\) −2.60304 + 25.5742i −0.124095 + 1.21920i
\(441\) 12.0202 4.37501i 0.572393 0.208334i
\(442\) 5.71052 + 0.170393i 0.271622 + 0.00810476i
\(443\) −21.4279 17.9801i −1.01807 0.854262i −0.0286863 0.999588i \(-0.509132\pi\)
−0.989384 + 0.145326i \(0.953577\pi\)
\(444\) −17.4562 + 2.01413i −0.828434 + 0.0955862i
\(445\) 31.3839 11.0001i 1.48774 0.521453i
\(446\) 1.16858 + 8.01927i 0.0553340 + 0.379723i
\(447\) −0.813598 0.143459i −0.0384818 0.00678539i
\(448\) 6.68966 7.90085i 0.316057 0.373280i
\(449\) 0.167174 + 0.0965178i 0.00788941 + 0.00455496i 0.503940 0.863739i \(-0.331883\pi\)
−0.496050 + 0.868294i \(0.665217\pi\)
\(450\) −11.6005 + 12.4061i −0.546854 + 0.584831i
\(451\) 18.2758 + 6.65186i 0.860576 + 0.313224i
\(452\) 8.19565 12.4208i 0.385491 0.584224i
\(453\) −0.551509 0.657262i −0.0259121 0.0308809i
\(454\) −9.95588 18.4971i −0.467253 0.868113i
\(455\) 1.85679 + 0.350323i 0.0870479 + 0.0164234i
\(456\) 8.41788 4.47580i 0.394203 0.209599i
\(457\) 24.4488i 1.14367i −0.820370 0.571833i \(-0.806232\pi\)
0.820370 0.571833i \(-0.193768\pi\)
\(458\) −10.1429 + 5.45928i −0.473944 + 0.255096i
\(459\) −19.7966 + 16.6113i −0.924027 + 0.775351i
\(460\) 10.8604 11.2060i 0.506369 0.522483i
\(461\) 1.98574 + 0.722750i 0.0924850 + 0.0336618i 0.387848 0.921723i \(-0.373218\pi\)
−0.295363 + 0.955385i \(0.595441\pi\)
\(462\) −2.12767 + 5.34412i −0.0989881 + 0.248631i
\(463\) −9.67820 + 16.7631i −0.449784 + 0.779049i −0.998372 0.0570444i \(-0.981832\pi\)
0.548588 + 0.836093i \(0.315166\pi\)
\(464\) −0.217507 0.930007i −0.0100975 0.0431745i
\(465\) −7.02929 2.65397i −0.325975 0.123075i
\(466\) 1.78381 + 12.2412i 0.0826333 + 0.567062i
\(467\) 16.5808 + 28.7187i 0.767266 + 1.32894i 0.939040 + 0.343808i \(0.111717\pi\)
−0.171774 + 0.985136i \(0.554950\pi\)
\(468\) −0.359574 3.11639i −0.0166213 0.144055i
\(469\) 6.94843 8.28082i 0.320849 0.382373i
\(470\) 8.37867 38.1288i 0.386479 1.75875i
\(471\) −6.45957 + 2.35109i −0.297641 + 0.108333i
\(472\) −25.5728 + 2.18008i −1.17709 + 0.100346i
\(473\) 7.12110 1.25564i 0.327428 0.0577345i
\(474\) −14.0925 + 4.65817i −0.647291 + 0.213957i
\(475\) −8.07896 20.2418i −0.370688 0.928757i
\(476\) −9.54217 12.8571i −0.437365 0.589304i
\(477\) 0.465406 + 2.63945i 0.0213095 + 0.120852i
\(478\) −11.2465 + 18.2031i −0.514401 + 0.832590i
\(479\) 3.31652 + 9.11207i 0.151536 + 0.416341i 0.992112 0.125352i \(-0.0400059\pi\)
−0.840577 + 0.541693i \(0.817784\pi\)
\(480\) 4.77646 8.53597i 0.218014 0.389612i
\(481\) −5.68353 4.76904i −0.259146 0.217450i
\(482\) 3.94803 19.0491i 0.179828 0.867662i
\(483\) 3.02404 1.74593i 0.137598 0.0794425i
\(484\) −4.94046 9.87370i −0.224566 0.448805i
\(485\) 0.634300 1.68000i 0.0288021 0.0762850i
\(486\) 16.4766 + 14.6848i 0.747394 + 0.666117i
\(487\) 12.5324 + 7.23557i 0.567896 + 0.327875i 0.756309 0.654215i \(-0.227001\pi\)
−0.188412 + 0.982090i \(0.560334\pi\)
\(488\) 5.97786 + 22.5097i 0.270605 + 1.01896i
\(489\) 0.758018 2.08264i 0.0342787 0.0941801i
\(490\) 7.80375 + 14.9231i 0.352538 + 0.674158i
\(491\) 0.0406164 + 0.0484047i 0.00183299 + 0.00218448i 0.766960 0.641695i \(-0.221768\pi\)
−0.765127 + 0.643879i \(0.777324\pi\)
\(492\) −5.37534 5.08644i −0.242339 0.229315i
\(493\) −1.47716 −0.0665279
\(494\) 3.81555 + 1.28275i 0.171670 + 0.0577136i
\(495\) 4.04744 21.4524i 0.181919 0.964213i
\(496\) −17.2576 2.06898i −0.774890 0.0928997i
\(497\) 2.42719 2.03666i 0.108875 0.0913566i
\(498\) 9.44332 7.45545i 0.423165 0.334087i
\(499\) −2.50810 + 6.89095i −0.112278 + 0.308481i −0.983087 0.183141i \(-0.941374\pi\)
0.870809 + 0.491622i \(0.163596\pi\)
\(500\) −18.2106 12.9759i −0.814403 0.580299i
\(501\) 1.67408 2.89960i 0.0747925 0.129544i
\(502\) −12.7642 11.3761i −0.569695 0.507742i
\(503\) −6.42035 + 36.4116i −0.286269 + 1.62351i 0.414448 + 0.910073i \(0.363975\pi\)
−0.700717 + 0.713440i \(0.747136\pi\)
\(504\) −6.23054 + 6.20291i −0.277530 + 0.276300i
\(505\) −5.64817 16.1146i −0.251340 0.717091i
\(506\) −4.07056 + 19.6403i −0.180958 + 0.873116i
\(507\) 6.24987 7.44831i 0.277567 0.330791i
\(508\) 5.58546 + 18.7578i 0.247815 + 0.832244i
\(509\) −2.03894 5.60194i −0.0903743 0.248301i 0.886268 0.463173i \(-0.153289\pi\)
−0.976642 + 0.214871i \(0.931067\pi\)
\(510\) −11.1725 10.1996i −0.494726 0.451645i
\(511\) −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
\(515\) −18.1684 0.217050i −0.800597 0.00956436i
\(516\) −2.67633 0.638491i −0.117819 0.0281080i
\(517\) 17.1615 + 47.1508i 0.754762 + 2.07369i
\(518\) −0.620156 + 20.7838i −0.0272481 + 0.913188i
\(519\) 6.77506 8.07420i 0.297392 0.354418i
\(520\) 4.00399 1.01229i 0.175587 0.0443919i
\(521\) 5.64764 3.26066i 0.247427 0.142852i −0.371158 0.928570i \(-0.621039\pi\)
0.618586 + 0.785717i \(0.287706\pi\)
\(522\) 0.116962 + 0.802636i 0.00511927 + 0.0351304i
\(523\) 32.5138 + 5.73306i 1.42173 + 0.250689i 0.831041 0.556211i \(-0.187745\pi\)
0.590688 + 0.806900i \(0.298856\pi\)
\(524\) −0.478164 + 1.10401i −0.0208887 + 0.0482288i
\(525\) −3.12368 3.90862i −0.136329 0.170586i
\(526\) −3.69280 + 9.27532i −0.161014 + 0.404423i
\(527\) −9.19407 + 25.2605i −0.400500 + 1.10036i
\(528\) 0.693823 + 12.5531i 0.0301948 + 0.546305i
\(529\) −8.29155 + 6.95744i −0.360502 + 0.302497i
\(530\) −3.36318 + 1.06728i −0.146087 + 0.0463597i
\(531\) 21.7963 0.945878
\(532\) −3.80453 10.6205i −0.164948 0.460459i
\(533\) 3.12463i 0.135343i
\(534\) 14.3218 7.70857i 0.619766 0.333582i
\(535\) −11.0638 19.7030i −0.478330 0.851833i
\(536\) 6.16580 22.8082i 0.266322 0.985165i
\(537\) 3.49251 9.59558i 0.150713 0.414080i
\(538\) 25.0457 + 9.97153i 1.07980 + 0.429903i
\(539\) −18.7453 10.8226i −0.807417 0.466162i
\(540\) −10.4744 + 15.4691i −0.450746 + 0.665682i
\(541\) −4.15660 + 23.5732i −0.178706 + 1.01349i 0.755072 + 0.655641i \(0.227602\pi\)
−0.933779 + 0.357851i \(0.883509\pi\)
\(542\) −3.28368 22.5339i −0.141046 0.967913i
\(543\) −4.96634 8.60196i −0.213126 0.369145i
\(544\) −30.7413 16.7228i −1.31802 0.716985i
\(545\) −2.40884 + 1.97271i −0.103184 + 0.0845015i
\(546\) 0.923720 + 0.0275623i 0.0395316 + 0.00117956i
\(547\) −9.83267 27.0150i −0.420414 1.15508i −0.951470 0.307742i \(-0.900427\pi\)
0.531055 0.847337i \(-0.321796\pi\)
\(548\) −27.4122 6.53972i −1.17099 0.279363i
\(549\) −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
\(554\) 18.2953 29.6121i 0.777294 1.25810i
\(555\) 3.18014 + 19.3870i 0.134990 + 0.822932i
\(556\) 9.00671 + 30.2475i 0.381969 + 1.28278i
\(557\) 9.06492 10.8032i 0.384093 0.457744i −0.539009 0.842300i \(-0.681201\pi\)
0.923102 + 0.384556i \(0.125645\pi\)
\(558\) 14.4537 + 2.99560i 0.611872 + 0.126814i
\(559\) −0.580862 1.00608i −0.0245678 0.0425527i
\(560\) −9.18009 7.04945i −0.387930 0.297894i
\(561\) 19.1488 + 3.37646i 0.808465 + 0.142554i
\(562\) −13.8921 12.3814i −0.586003 0.522276i
\(563\) 11.4131 + 6.58938i 0.481007 + 0.277709i 0.720836 0.693106i \(-0.243758\pi\)
−0.239829 + 0.970815i \(0.577091\pi\)
\(564\) 1.13838 19.0588i 0.0479345 0.802519i
\(565\) −14.3081 8.49026i −0.601945 0.357188i
\(566\) −22.4710 28.4626i −0.944528 1.19637i
\(567\) 3.94120 3.30706i 0.165515 0.138883i
\(568\) 2.94070 6.26994i 0.123389 0.263081i
\(569\) 0.00913241i 0.000382850i 1.00000 0.000191425i \(6.09325e-5\pi\)
−1.00000 0.000191425i \(0.999939\pi\)
\(570\) −5.44728 9.16209i −0.228162 0.383758i
\(571\) 0.969575i 0.0405754i 0.999794 + 0.0202877i \(0.00645822\pi\)
−0.999794 + 0.0202877i \(0.993542\pi\)
\(572\) −3.64851 + 3.85573i −0.152552 + 0.161216i
\(573\) −1.16590 + 0.978306i −0.0487062 + 0.0408693i
\(574\) −6.87312 + 5.42629i −0.286878 + 0.226489i
\(575\) −13.0936 11.5309i −0.546040 0.480872i
\(576\) −6.65249 + 18.0279i −0.277187 + 0.751161i
\(577\) 36.1447 + 20.8681i 1.50472 + 0.868752i 0.999985 + 0.00547920i \(0.00174409\pi\)
0.504738 + 0.863273i \(0.331589\pi\)
\(578\) −20.0151 + 22.4573i −0.832519 + 0.934100i
\(579\) 9.04190 + 1.59433i 0.375768 + 0.0662581i
\(580\) −1.02700 + 0.292496i −0.0426438 + 0.0121452i
\(581\) −7.11855 12.3297i −0.295327 0.511522i
\(582\) 0.178236 0.859983i 0.00738814 0.0356474i
\(583\) 2.91517 3.47416i 0.120734 0.143885i
\(584\) −28.4258 + 19.8099i −1.17627 + 0.819741i
\(585\) −3.46109 + 0.567739i −0.143098 + 0.0234731i
\(586\) −12.5001 7.72297i −0.516375 0.319033i
\(587\) 1.74429 + 9.89239i 0.0719948 + 0.408303i 0.999412 + 0.0342752i \(0.0109123\pi\)
−0.927418 + 0.374027i \(0.877977\pi\)
\(588\) 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
\(592\) 17.8770 + 41.7834i 0.734739 + 1.71729i
\(593\) 1.36514 + 3.75070i 0.0560598 + 0.154023i 0.964561 0.263858i \(-0.0849951\pi\)
−0.908502 + 0.417881i \(0.862773\pi\)
\(594\) 0.716156 24.0012i 0.0293843 0.984779i
\(595\) −13.8495 + 11.3419i −0.567773 + 0.464974i
\(596\) 0.244911 + 2.12262i 0.0100320 + 0.0869458i
\(597\) −0.387620 0.671377i −0.0158642 0.0274776i
\(598\) 3.18878 0.464675i 0.130399 0.0190020i
\(599\) 3.74301 21.2276i 0.152935 0.867338i −0.807714 0.589574i \(-0.799296\pi\)
0.960649 0.277764i \(-0.0895932\pi\)
\(600\) −9.78735 4.87899i −0.399567 0.199184i
\(601\) 4.39412 + 2.53694i 0.179240 + 0.103484i 0.586935 0.809634i \(-0.300334\pi\)
−0.407696 + 0.913118i \(0.633668\pi\)
\(602\) −1.20430 + 3.02488i −0.0490836 + 0.123285i
\(603\) −6.86262 + 18.8549i −0.279468 + 0.767831i
\(604\) −1.22214 + 1.85219i −0.0497283 + 0.0753647i
\(605\) −10.7631 + 6.04382i −0.437583 + 0.245716i
\(606\) −3.95810 7.35378i −0.160787 0.298727i
\(607\) 27.7036i 1.12445i 0.826983 + 0.562227i \(0.190055\pi\)
−0.826983 + 0.562227i \(0.809945\pi\)
\(608\) −17.3078 17.5625i −0.701922 0.712254i
\(609\) −0.238942 −0.00968240
\(610\) 24.8192 7.87617i 1.00490 0.318897i
\(611\) 6.17540 5.18178i 0.249830 0.209632i
\(612\) 24.8061 + 16.3679i 1.00273 + 0.661635i
\(613\) 11.6155 31.9133i 0.469145 1.28897i −0.449287 0.893388i \(-0.648322\pi\)
0.918432 0.395579i \(-0.129456\pi\)
\(614\) 42.5583 + 16.9439i 1.71751 + 0.683798i
\(615\) −5.39371 + 6.27420i −0.217495 + 0.253000i
\(616\) 14.8173 + 1.32954i 0.597008 + 0.0535685i
\(617\) 11.0655 + 1.95114i 0.445479 + 0.0785500i 0.391888 0.920013i \(-0.371822\pi\)
0.0535911 + 0.998563i \(0.482933\pi\)
\(618\) −8.79347 + 1.28140i −0.353725 + 0.0515455i
\(619\) −35.8033 + 20.6710i −1.43906 + 0.830839i −0.997784 0.0665345i \(-0.978806\pi\)
−0.441271 + 0.897374i \(0.645472\pi\)
\(620\) −1.39030 + 19.3830i −0.0558356 + 0.778439i
\(621\) −9.36964 + 11.1663i −0.375991 + 0.448088i
\(622\) −34.8995 1.04134i −1.39934 0.0417541i
\(623\) −6.58251 18.0853i −0.263723 0.724572i
\(624\) 1.85703 0.794528i 0.0743408 0.0318066i
\(625\) −13.5199 + 21.0289i −0.540796 + 0.841154i
\(626\) 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
\(630\) 7.25941 + 6.62726i 0.289222 + 0.264036i
\(631\) −3.57194 9.81382i −0.142197 0.390682i 0.848067 0.529890i \(-0.177767\pi\)
−0.990263 + 0.139208i \(0.955544\pi\)
\(632\) 21.9483 + 31.4941i 0.873056 + 1.25277i
\(633\) 12.2088 14.5498i 0.485255 0.578304i
\(634\) 8.40942 + 1.74290i 0.333981 + 0.0692195i
\(635\) 20.6502 7.23788i 0.819477 0.287226i
\(636\) −1.54327 + 0.772199i −0.0611947 + 0.0306197i
\(637\) −0.603864 + 3.42468i −0.0239260 + 0.135691i
\(638\) 0.913198 1.02462i 0.0361539 0.0405652i
\(639\) −2.94063 + 5.09331i −0.116329 + 0.201488i
\(640\) −24.6843 5.53941i −0.975733 0.218964i
\(641\) 7.26275 19.9542i 0.286861 0.788145i −0.709640 0.704565i \(-0.751142\pi\)
0.996501 0.0835804i \(-0.0266355\pi\)
\(642\) −6.84811 8.67404i −0.270273 0.342337i
\(643\) −18.3969 + 15.4368i −0.725503 + 0.608769i −0.928901 0.370327i \(-0.879246\pi\)
0.203399 + 0.979096i \(0.434801\pi\)
\(644\) −6.55981 6.20726i −0.258493 0.244600i
\(645\) −0.570328 + 3.02287i −0.0224566 + 0.119025i
\(646\) −32.5443 + 19.8791i −1.28044 + 0.782131i
\(647\) −39.6665 −1.55945 −0.779726 0.626121i \(-0.784642\pi\)
−0.779726 + 0.626121i \(0.784642\pi\)
\(648\) 4.77501 10.1809i 0.187580 0.399944i
\(649\) −23.7074 28.2534i −0.930597 1.10904i
\(650\) −1.34400 4.41753i −0.0527160 0.173270i
\(651\) −1.48721 + 4.08608i −0.0582884 + 0.160146i
\(652\) −5.72189 0.341769i −0.224087 0.0133847i
\(653\) −1.47393 0.850973i −0.0576793 0.0333012i 0.470883 0.882196i \(-0.343935\pi\)
−0.528562 + 0.848894i \(0.677269\pi\)
\(654\) −1.01316 + 1.13678i −0.0396177 + 0.0444517i
\(655\) 1.25841 + 0.475124i 0.0491702 + 0.0185646i
\(656\) −8.64065 + 17.0786i −0.337361 + 0.666807i
\(657\) 25.4821 14.7121i 0.994151 0.573974i
\(658\) −22.1224 4.58500i −0.862422 0.178742i
\(659\) −7.63985 6.41060i −0.297606 0.249721i 0.481741 0.876314i \(-0.340005\pi\)
−0.779347 + 0.626592i \(0.784449\pi\)
\(660\) 13.9819 1.44423i 0.544243 0.0562164i
\(661\) −8.25775 22.6880i −0.321189 0.882460i −0.990256 0.139258i \(-0.955528\pi\)
0.669067 0.743202i \(-0.266694\pi\)
\(662\) −34.0139 21.0149i −1.32199 0.816767i
\(663\) −0.542461 3.07645i −0.0210674 0.119479i
\(664\) −25.4505 17.9051i −0.987672 0.694852i
\(665\) −11.6577 + 4.81510i −0.452068 + 0.186721i
\(666\) −12.1129 36.6455i −0.469365 1.41999i
\(667\) −0.820535 + 0.144682i −0.0317712 + 0.00560213i
\(668\) −8.42311 2.00950i −0.325900 0.0777498i
\(669\) 4.16402 1.51558i 0.160990 0.0585957i
\(670\) −25.8001 5.66949i −0.996746 0.219031i
\(671\) −21.5130 + 25.6381i −0.830498 + 0.989749i
\(672\) −4.97264 2.70504i −0.191824 0.104349i
\(673\) −7.12247 12.3365i −0.274551 0.475536i 0.695471 0.718554i \(-0.255196\pi\)
−0.970022 + 0.243018i \(0.921863\pi\)
\(674\) 29.2787 4.26654i 1.12777 0.164341i
\(675\) 17.8338 + 10.8725i 0.686423 + 0.418483i
\(676\) −23.0758 9.99448i −0.887529 0.384403i
\(677\) 9.95159 17.2367i 0.382471 0.662458i −0.608944 0.793213i \(-0.708407\pi\)
0.991415 + 0.130755i \(0.0417400\pi\)
\(678\) −7.55983 3.00981i −0.290333 0.115591i
\(679\) −0.976575 0.355444i −0.0374775 0.0136407i
\(680\) −17.0361 + 35.2225i −0.653306 + 1.35072i
\(681\) −8.79898 + 7.38322i −0.337178 + 0.282926i
\(682\) −11.8379 21.9938i −0.453297 0.842185i
\(683\) 25.1586i 0.962667i −0.876537 0.481334i \(-0.840153\pi\)
0.876537 0.481334i \(-0.159847\pi\)
\(684\) 13.3784 + 16.1094i 0.511538 + 0.615959i
\(685\) −5.84156 + 30.9616i −0.223194 + 1.18298i
\(686\) 19.8622 10.6906i 0.758343 0.408170i
\(687\) 4.04857 + 4.82490i 0.154463 + 0.184081i
\(688\) 0.392717 + 7.10531i 0.0149722 + 0.270887i
\(689\) −0.684682 0.249204i −0.0260843 0.00949392i
\(690\) −7.20513 4.57138i −0.274294 0.174029i
\(691\) 3.80733 + 2.19816i 0.144837 + 0.0836220i 0.570668 0.821181i \(-0.306685\pi\)
−0.425830 + 0.904803i \(0.640018\pi\)
\(692\) −25.0148 10.8343i −0.950921 0.411859i
\(693\) −12.4421 2.19388i −0.472637 0.0833386i
\(694\) 2.39870 0.349544i 0.0910535 0.0132685i
\(695\) 33.2990 11.6713i 1.26310 0.442717i
\(696\) −0.473810 + 0.219661i −0.0179597 + 0.00832622i
\(697\) 22.6763 + 19.0277i 0.858926 + 0.720724i
\(698\) 1.13424 38.0127i 0.0429316 1.43880i
\(699\) 6.35626 2.31349i 0.240416 0.0875042i
\(700\) −7.38303 + 10.6279i −0.279052 + 0.401696i
\(701\) −3.85596 21.8682i −0.145637 0.825951i −0.966853 0.255333i \(-0.917815\pi\)
0.821216 0.570618i \(-0.193296\pi\)
\(702\) −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
\(705\) −21.3448 0.254997i −0.803892 0.00960373i
\(706\) 9.76177 15.8000i 0.367389 0.594642i
\(707\) −9.28621 + 3.37990i −0.349244 + 0.127114i
\(708\) 4.00507 + 13.4504i 0.150520 + 0.505495i
\(709\) −6.43156 5.39672i −0.241542 0.202678i 0.513978 0.857803i \(-0.328171\pi\)
−0.755520 + 0.655125i \(0.772616\pi\)
\(710\) −7.15884 2.94972i −0.268666 0.110701i
\(711\) −16.3002 28.2327i −0.611304 1.05881i
\(712\) −29.6788 29.8110i −1.11226 1.11721i
\(713\) −2.63296 + 14.9323i −0.0986052 + 0.559218i
\(714\) −5.82509 + 6.53584i −0.217998 + 0.244598i
\(715\) 4.50049 + 3.86891i 0.168309 + 0.144689i
\(716\) −26.3632 1.57467i −0.985238 0.0588483i
\(717\) 10.9944 + 4.00162i 0.410592 + 0.149443i
\(718\) −27.3062 + 21.5581i −1.01906 + 0.804541i
\(719\) −18.8665 22.4842i −0.703601 0.838519i 0.289328 0.957230i \(-0.406568\pi\)
−0.992929 + 0.118711i \(0.962124\pi\)
\(720\) 20.4876 + 6.46792i 0.763527 + 0.241045i
\(721\) 10.5153i 0.391609i
\(722\) −26.0089 + 6.74808i −0.967951 + 0.251138i
\(723\) −10.6374 −0.395610
\(724\) −17.6567 + 18.6596i −0.656207 + 0.693478i
\(725\) 0.381413 + 1.13131i 0.0141653 + 0.0420160i
\(726\) −4.73836 + 3.74091i −0.175857 + 0.138838i
\(727\) −14.7991 5.38642i −0.548867 0.199771i 0.0526759 0.998612i \(-0.483225\pi\)
−0.601543 + 0.798840i \(0.705447\pi\)
\(728\) −0.613476 2.31004i −0.0227369 0.0856160i
\(729\) 0.0705855 0.122258i 0.00261428 0.00452806i
\(730\) 23.6388 + 30.6884i 0.874911 + 1.13583i
\(731\) 10.8386 + 1.91114i 0.400880 + 0.0706860i
\(732\) 11.3888 5.69857i 0.420943 0.210625i
\(733\) 30.2310 17.4538i 1.11661 0.644673i 0.176073 0.984377i \(-0.443660\pi\)
0.940532 + 0.339704i \(0.110327\pi\)
\(734\) 41.2326 + 8.54570i 1.52192 + 0.315428i
\(735\) 7.12420 5.83432i 0.262780 0.215202i
\(736\) −18.7142 6.27822i −0.689814 0.231418i
\(737\) 31.9050 11.6125i 1.17523 0.427750i
\(738\) 8.54346 13.8281i 0.314489 0.509020i
\(739\) 22.5797 3.98141i 0.830607 0.146458i 0.257851 0.966185i \(-0.416986\pi\)
0.572755 + 0.819726i \(0.305874\pi\)
\(740\) 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 0.565639 0.824653i \(-0.308629\pi\)
0.813575 + 0.581460i \(0.197518\pi\)
\(744\) 0.807291 + 9.46971i 0.0295967 + 0.347176i
\(745\) 2.35740 0.386696i 0.0863684 0.0141674i
\(746\) 0.516280 17.3025i 0.0189024 0.633491i
\(747\) 20.2439 + 16.9867i 0.740687 + 0.621510i
\(748\) −5.76424 49.9579i −0.210761 1.82664i
\(749\) −11.3253 + 6.53865i −0.413817 + 0.238917i
\(750\) −4.92676 + 11.1903i −0.179900 + 0.408612i
\(751\) −5.27030 + 29.8894i −0.192316 + 1.09068i 0.723873 + 0.689933i \(0.242360\pi\)
−0.916189 + 0.400746i \(0.868751\pi\)
\(752\) −48.0828 + 11.2455i −1.75340 + 0.410080i
\(753\) −4.67461 + 8.09666i −0.170352 + 0.295059i
\(754\) −0.204868 0.0815644i −0.00746084 0.00297040i
\(755\) 2.13363 + 1.26607i 0.0776507 + 0.0460771i
\(756\) 9.02409 + 5.95441i 0.328203 + 0.216560i
\(757\) 15.3178 + 18.2551i 0.556736 + 0.663492i 0.968852 0.247639i \(-0.0796547\pi\)
−0.412116 + 0.911131i \(0.635210\pi\)
\(758\) 31.5796 16.9974i 1.14702 0.617373i
\(759\) 10.9675 0.398097
\(760\) −18.6902 + 20.2652i −0.677965 + 0.735094i
\(761\) 23.3418 0.846140 0.423070 0.906097i \(-0.360952\pi\)
0.423070 + 0.906097i \(0.360952\pi\)
\(762\) 9.42355 5.07213i 0.341379 0.183744i
\(763\) 1.15823 + 1.38032i 0.0419306 + 0.0499709i
\(764\) 3.28556 + 2.16792i 0.118867 + 0.0784327i
\(765\) 16.9563 28.5753i 0.613056 1.03314i
\(766\) 16.1215 + 6.41849i 0.582494 + 0.231910i
\(767\) −2.96274 + 5.13162i −0.106978 + 0.185292i
\(768\) −12.3473