Properties

Label 380.2.bb.a.59.15
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 59.15
Character \(\chi\) \(=\) 380.59
Dual form 380.2.bb.a.219.15

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.934972 + 1.06105i) q^{2} +(-0.912584 + 1.08758i) q^{3} +(-0.251654 - 1.98410i) q^{4} +(1.86792 + 1.22918i) q^{5} +(-0.300731 - 1.98515i) q^{6} +(-0.869878 - 1.50667i) q^{7} +(2.34052 + 1.58806i) q^{8} +(0.170934 + 0.969416i) q^{9} +O(q^{10})\) \(q+(-0.934972 + 1.06105i) q^{2} +(-0.912584 + 1.08758i) q^{3} +(-0.251654 - 1.98410i) q^{4} +(1.86792 + 1.22918i) q^{5} +(-0.300731 - 1.98515i) q^{6} +(-0.869878 - 1.50667i) q^{7} +(2.34052 + 1.58806i) q^{8} +(0.170934 + 0.969416i) q^{9} +(-3.05067 + 0.832706i) q^{10} +(1.98923 + 1.14848i) q^{11} +(2.38752 + 1.53697i) q^{12} +(-1.18014 + 0.990257i) q^{13} +(2.41197 + 0.485713i) q^{14} +(-3.04146 + 0.909772i) q^{15} +(-3.87334 + 0.998616i) q^{16} +(5.38638 + 0.949765i) q^{17} +(-1.18842 - 0.725008i) q^{18} +(-0.368312 + 4.34331i) q^{19} +(1.96875 - 4.01547i) q^{20} +(2.43246 + 0.428908i) q^{21} +(-3.07847 + 1.03687i) q^{22} +(-2.44934 - 0.891488i) q^{23} +(-3.86306 + 1.09625i) q^{24} +(1.97824 + 4.59201i) q^{25} +(0.0526880 - 2.17805i) q^{26} +(-4.89887 - 2.82836i) q^{27} +(-2.77049 + 2.10509i) q^{28} +(-8.70033 + 1.53410i) q^{29} +(1.87836 - 4.07775i) q^{30} +(2.00781 + 3.47763i) q^{31} +(2.56188 - 5.04349i) q^{32} +(-3.06440 + 1.11535i) q^{33} +(-6.04387 + 4.82722i) q^{34} +(0.227110 - 3.88358i) q^{35} +(1.88041 - 0.583109i) q^{36} -5.47065 q^{37} +(-4.26411 - 4.45167i) q^{38} -2.18719i q^{39} +(2.41989 + 5.84330i) q^{40} +(3.48030 - 4.14766i) q^{41} +(-2.72937 + 2.17994i) q^{42} +(-2.41969 + 0.880695i) q^{43} +(1.77811 - 4.23585i) q^{44} +(-0.872295 + 2.02090i) q^{45} +(3.23598 - 1.76536i) q^{46} +(1.38336 + 7.84540i) q^{47} +(2.44868 - 5.12387i) q^{48} +(1.98662 - 3.44093i) q^{49} +(-6.72195 - 2.19440i) q^{50} +(-5.94847 + 4.99136i) q^{51} +(2.26176 + 2.09232i) q^{52} +(-1.36045 - 0.495162i) q^{53} +(7.58134 - 2.55350i) q^{54} +(2.30402 + 4.59038i) q^{55} +(0.356724 - 4.90783i) q^{56} +(-4.38756 - 4.36420i) q^{57} +(6.50680 - 10.6658i) q^{58} +(-1.46082 + 8.28470i) q^{59} +(2.57048 + 5.80562i) q^{60} +(6.17019 + 2.24577i) q^{61} +(-5.56719 - 1.12110i) q^{62} +(1.31190 - 1.10082i) q^{63} +(2.95610 + 7.43381i) q^{64} +(-3.42161 + 0.399112i) q^{65} +(1.68168 - 4.29430i) q^{66} +(10.5222 - 1.85535i) q^{67} +(0.528926 - 10.9262i) q^{68} +(3.20479 - 1.85029i) q^{69} +(3.90833 + 3.87201i) q^{70} +(5.69952 - 2.07445i) q^{71} +(-1.13942 + 2.54040i) q^{72} +(4.66799 - 5.56309i) q^{73} +(5.11490 - 5.80463i) q^{74} +(-6.79946 - 2.03912i) q^{75} +(8.71027 - 0.362242i) q^{76} -3.99615i q^{77} +(2.32071 + 2.04496i) q^{78} +(0.266652 + 0.223748i) q^{79} +(-8.46256 - 2.89570i) q^{80} +(4.77166 - 1.73674i) q^{81} +(1.14689 + 7.57072i) q^{82} +(3.33647 + 5.77894i) q^{83} +(0.238860 - 4.93418i) q^{84} +(8.89389 + 8.39491i) q^{85} +(1.32788 - 3.39084i) q^{86} +(6.27133 - 10.8623i) q^{87} +(2.83197 + 5.84707i) q^{88} +(-6.63725 - 7.90997i) q^{89} +(-1.32870 - 2.81503i) q^{90} +(2.51857 + 0.916685i) q^{91} +(-1.15242 + 5.08410i) q^{92} +(-5.61448 - 0.989985i) q^{93} +(-9.61776 - 5.86742i) q^{94} +(-6.02669 + 7.66023i) q^{95} +(3.14724 + 7.38884i) q^{96} +(-0.978133 + 5.54727i) q^{97} +(1.79356 + 5.32509i) q^{98} +(-0.773329 + 2.12470i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.934972 + 1.06105i −0.661125 + 0.750276i
\(3\) −0.912584 + 1.08758i −0.526881 + 0.627912i −0.962193 0.272368i \(-0.912193\pi\)
0.435313 + 0.900279i \(0.356638\pi\)
\(4\) −0.251654 1.98410i −0.125827 0.992052i
\(5\) 1.86792 + 1.22918i 0.835358 + 0.549706i
\(6\) −0.300731 1.98515i −0.122773 0.810434i
\(7\) −0.869878 1.50667i −0.328783 0.569469i 0.653488 0.756937i \(-0.273305\pi\)
−0.982271 + 0.187468i \(0.939972\pi\)
\(8\) 2.34052 + 1.58806i 0.827500 + 0.561466i
\(9\) 0.170934 + 0.969416i 0.0569781 + 0.323139i
\(10\) −3.05067 + 0.832706i −0.964707 + 0.263325i
\(11\) 1.98923 + 1.14848i 0.599775 + 0.346280i 0.768953 0.639305i \(-0.220778\pi\)
−0.169178 + 0.985585i \(0.554111\pi\)
\(12\) 2.38752 + 1.53697i 0.689217 + 0.443685i
\(13\) −1.18014 + 0.990257i −0.327312 + 0.274648i −0.791604 0.611035i \(-0.790754\pi\)
0.464291 + 0.885683i \(0.346309\pi\)
\(14\) 2.41197 + 0.485713i 0.644625 + 0.129812i
\(15\) −3.04146 + 0.909772i −0.785301 + 0.234902i
\(16\) −3.87334 + 0.998616i −0.968335 + 0.249654i
\(17\) 5.38638 + 0.949765i 1.30639 + 0.230352i 0.783149 0.621834i \(-0.213612\pi\)
0.523240 + 0.852185i \(0.324723\pi\)
\(18\) −1.18842 0.725008i −0.280113 0.170886i
\(19\) −0.368312 + 4.34331i −0.0844966 + 0.996424i
\(20\) 1.96875 4.01547i 0.440226 0.897887i
\(21\) 2.43246 + 0.428908i 0.530806 + 0.0935953i
\(22\) −3.07847 + 1.03687i −0.656331 + 0.221062i
\(23\) −2.44934 0.891488i −0.510723 0.185888i 0.0737875 0.997274i \(-0.476491\pi\)
−0.584511 + 0.811386i \(0.698714\pi\)
\(24\) −3.86306 + 1.09625i −0.788545 + 0.223772i
\(25\) 1.97824 + 4.59201i 0.395647 + 0.918403i
\(26\) 0.0526880 2.17805i 0.0103330 0.427151i
\(27\) −4.89887 2.82836i −0.942788 0.544319i
\(28\) −2.77049 + 2.10509i −0.523573 + 0.397825i
\(29\) −8.70033 + 1.53410i −1.61561 + 0.284876i −0.907129 0.420854i \(-0.861731\pi\)
−0.708482 + 0.705729i \(0.750620\pi\)
\(30\) 1.87836 4.07775i 0.342941 0.744492i
\(31\) 2.00781 + 3.47763i 0.360614 + 0.624601i 0.988062 0.154057i \(-0.0492340\pi\)
−0.627448 + 0.778658i \(0.715901\pi\)
\(32\) 2.56188 5.04349i 0.452881 0.891571i
\(33\) −3.06440 + 1.11535i −0.533443 + 0.194157i
\(34\) −6.04387 + 4.82722i −1.03651 + 0.827861i
\(35\) 0.227110 3.88358i 0.0383887 0.656444i
\(36\) 1.88041 0.583109i 0.313401 0.0971849i
\(37\) −5.47065 −0.899369 −0.449685 0.893187i \(-0.648464\pi\)
−0.449685 + 0.893187i \(0.648464\pi\)
\(38\) −4.26411 4.45167i −0.691730 0.722157i
\(39\) 2.18719i 0.350230i
\(40\) 2.41989 + 5.84330i 0.382618 + 0.923907i
\(41\) 3.48030 4.14766i 0.543532 0.647756i −0.422444 0.906389i \(-0.638828\pi\)
0.965976 + 0.258633i \(0.0832721\pi\)
\(42\) −2.72937 + 2.17994i −0.421151 + 0.336372i
\(43\) −2.41969 + 0.880695i −0.368999 + 0.134305i −0.519863 0.854250i \(-0.674017\pi\)
0.150864 + 0.988555i \(0.451795\pi\)
\(44\) 1.77811 4.23585i 0.268060 0.638579i
\(45\) −0.872295 + 2.02090i −0.130034 + 0.301258i
\(46\) 3.23598 1.76536i 0.477119 0.260288i
\(47\) 1.38336 + 7.84540i 0.201783 + 1.14437i 0.902422 + 0.430853i \(0.141787\pi\)
−0.700639 + 0.713516i \(0.747102\pi\)
\(48\) 2.44868 5.12387i 0.353436 0.739567i
\(49\) 1.98662 3.44093i 0.283803 0.491562i
\(50\) −6.72195 2.19440i −0.950627 0.310335i
\(51\) −5.94847 + 4.99136i −0.832952 + 0.698930i
\(52\) 2.26176 + 2.09232i 0.313650 + 0.290153i
\(53\) −1.36045 0.495162i −0.186872 0.0680157i 0.246889 0.969044i \(-0.420592\pi\)
−0.433761 + 0.901028i \(0.642814\pi\)
\(54\) 7.58134 2.55350i 1.03169 0.347488i
\(55\) 2.30402 + 4.59038i 0.310675 + 0.618967i
\(56\) 0.356724 4.90783i 0.0476692 0.655836i
\(57\) −4.38756 4.36420i −0.581147 0.578053i
\(58\) 6.50680 10.6658i 0.854385 1.40049i
\(59\) −1.46082 + 8.28470i −0.190182 + 1.07858i 0.728932 + 0.684586i \(0.240017\pi\)
−0.919114 + 0.393991i \(0.871094\pi\)
\(60\) 2.57048 + 5.80562i 0.331847 + 0.749502i
\(61\) 6.17019 + 2.24577i 0.790012 + 0.287541i 0.705341 0.708868i \(-0.250794\pi\)
0.0846712 + 0.996409i \(0.473016\pi\)
\(62\) −5.56719 1.12110i −0.707034 0.142380i
\(63\) 1.31190 1.10082i 0.165284 0.138690i
\(64\) 2.95610 + 7.43381i 0.369513 + 0.929226i
\(65\) −3.42161 + 0.399112i −0.424399 + 0.0495038i
\(66\) 1.68168 4.29430i 0.207001 0.528591i
\(67\) 10.5222 1.85535i 1.28549 0.226667i 0.511180 0.859474i \(-0.329208\pi\)
0.774310 + 0.632807i \(0.218097\pi\)
\(68\) 0.528926 10.9262i 0.0641417 1.32499i
\(69\) 3.20479 1.85029i 0.385812 0.222748i
\(70\) 3.90833 + 3.87201i 0.467135 + 0.462794i
\(71\) 5.69952 2.07445i 0.676408 0.246192i 0.0191036 0.999818i \(-0.493919\pi\)
0.657304 + 0.753625i \(0.271697\pi\)
\(72\) −1.13942 + 2.54040i −0.134282 + 0.299389i
\(73\) 4.66799 5.56309i 0.546347 0.651111i −0.420251 0.907408i \(-0.638058\pi\)
0.966598 + 0.256297i \(0.0825025\pi\)
\(74\) 5.11490 5.80463i 0.594596 0.674775i
\(75\) −6.79946 2.03912i −0.785135 0.235457i
\(76\) 8.71027 0.362242i 0.999136 0.0415520i
\(77\) 3.99615i 0.455404i
\(78\) 2.32071 + 2.04496i 0.262769 + 0.231546i
\(79\) 0.266652 + 0.223748i 0.0300007 + 0.0251736i 0.657665 0.753311i \(-0.271544\pi\)
−0.627664 + 0.778484i \(0.715989\pi\)
\(80\) −8.46256 2.89570i −0.946143 0.323749i
\(81\) 4.77166 1.73674i 0.530185 0.192972i
\(82\) 1.14689 + 7.57072i 0.126653 + 0.836046i
\(83\) 3.33647 + 5.77894i 0.366225 + 0.634321i 0.988972 0.148103i \(-0.0473166\pi\)
−0.622747 + 0.782424i \(0.713983\pi\)
\(84\) 0.238860 4.93418i 0.0260617 0.538364i
\(85\) 8.89389 + 8.39491i 0.964678 + 0.910556i
\(86\) 1.32788 3.39084i 0.143189 0.365643i
\(87\) 6.27133 10.8623i 0.672357 1.16456i
\(88\) 2.83197 + 5.84707i 0.301889 + 0.623299i
\(89\) −6.63725 7.90997i −0.703547 0.838455i 0.289376 0.957216i \(-0.406552\pi\)
−0.992923 + 0.118761i \(0.962108\pi\)
\(90\) −1.32870 2.81503i −0.140058 0.296731i
\(91\) 2.51857 + 0.916685i 0.264018 + 0.0960947i
\(92\) −1.15242 + 5.08410i −0.120148 + 0.530054i
\(93\) −5.61448 0.989985i −0.582195 0.102657i
\(94\) −9.61776 5.86742i −0.991997 0.605178i
\(95\) −6.02669 + 7.66023i −0.618325 + 0.785923i
\(96\) 3.14724 + 7.38884i 0.321213 + 0.754121i
\(97\) −0.978133 + 5.54727i −0.0993143 + 0.563240i 0.894025 + 0.448016i \(0.147869\pi\)
−0.993340 + 0.115223i \(0.963242\pi\)
\(98\) 1.79356 + 5.32509i 0.181177 + 0.537915i
\(99\) −0.773329 + 2.12470i −0.0777225 + 0.213541i
\(100\) 8.61320 5.08063i 0.861320 0.508063i
\(101\) 10.3394 8.67578i 1.02881 0.863272i 0.0380993 0.999274i \(-0.487870\pi\)
0.990709 + 0.136002i \(0.0434252\pi\)
\(102\) 0.265572 10.9784i 0.0262956 1.08702i
\(103\) −9.07941 5.24200i −0.894621 0.516510i −0.0191697 0.999816i \(-0.506102\pi\)
−0.875451 + 0.483307i \(0.839436\pi\)
\(104\) −4.33474 + 0.443577i −0.425056 + 0.0434963i
\(105\) 4.01643 + 3.79109i 0.391963 + 0.369973i
\(106\) 1.79737 0.980539i 0.174576 0.0952383i
\(107\) 15.0503 8.68929i 1.45497 0.840025i 0.456209 0.889873i \(-0.349207\pi\)
0.998757 + 0.0498476i \(0.0158736\pi\)
\(108\) −4.37895 + 10.4316i −0.421364 + 1.00378i
\(109\) 5.32472 + 14.6295i 0.510016 + 1.40126i 0.881220 + 0.472706i \(0.156723\pi\)
−0.371205 + 0.928551i \(0.621055\pi\)
\(110\) −7.02483 1.84720i −0.669791 0.176123i
\(111\) 4.99243 5.94974i 0.473860 0.564724i
\(112\) 4.87392 + 4.96718i 0.460542 + 0.469355i
\(113\) 2.72712 0.256546 0.128273 0.991739i \(-0.459057\pi\)
0.128273 + 0.991739i \(0.459057\pi\)
\(114\) 8.73288 0.575013i 0.817909 0.0538549i
\(115\) −3.47937 4.67591i −0.324453 0.436031i
\(116\) 5.23329 + 16.8763i 0.485899 + 1.56692i
\(117\) −1.16170 0.974780i −0.107399 0.0901185i
\(118\) −7.42466 9.29596i −0.683495 0.855763i
\(119\) −3.25451 8.94170i −0.298341 0.819684i
\(120\) −8.56338 2.70069i −0.781726 0.246538i
\(121\) −2.86198 4.95710i −0.260180 0.450646i
\(122\) −8.15183 + 4.44715i −0.738032 + 0.402626i
\(123\) 1.33483 + 7.57018i 0.120357 + 0.682580i
\(124\) 6.39471 4.85887i 0.574262 0.436339i
\(125\) −1.94923 + 11.0091i −0.174344 + 0.984685i
\(126\) −0.0585705 + 2.42123i −0.00521787 + 0.215700i
\(127\) 4.85178 + 5.78213i 0.430526 + 0.513081i 0.937074 0.349131i \(-0.113523\pi\)
−0.506548 + 0.862212i \(0.669079\pi\)
\(128\) −10.6515 3.81383i −0.941470 0.337098i
\(129\) 1.25035 3.43530i 0.110087 0.302461i
\(130\) 2.77563 4.00366i 0.243439 0.351144i
\(131\) 5.19250 + 0.915578i 0.453671 + 0.0799944i 0.395814 0.918331i \(-0.370462\pi\)
0.0578563 + 0.998325i \(0.481573\pi\)
\(132\) 2.98414 + 5.79940i 0.259736 + 0.504773i
\(133\) 6.86434 3.22322i 0.595213 0.279489i
\(134\) −7.86934 + 12.8993i −0.679807 + 1.11433i
\(135\) −5.67412 11.3047i −0.488350 0.972957i
\(136\) 11.0987 + 10.7769i 0.951703 + 0.924109i
\(137\) 6.37941 17.5273i 0.545030 1.49746i −0.295312 0.955401i \(-0.595424\pi\)
0.840342 0.542057i \(-0.182354\pi\)
\(138\) −1.03314 + 5.13041i −0.0879470 + 0.436730i
\(139\) −9.72900 11.5946i −0.825203 0.983439i 0.174796 0.984605i \(-0.444073\pi\)
−0.999999 + 0.00116587i \(0.999629\pi\)
\(140\) −7.76258 + 0.526708i −0.656058 + 0.0445149i
\(141\) −9.79489 5.65508i −0.824879 0.476244i
\(142\) −3.12779 + 7.98703i −0.262478 + 0.670256i
\(143\) −3.48486 + 0.614475i −0.291419 + 0.0513850i
\(144\) −1.63016 3.58418i −0.135847 0.298682i
\(145\) −18.1372 7.82869i −1.50621 0.650137i
\(146\) 1.53828 + 10.1543i 0.127309 + 0.840376i
\(147\) 1.92931 + 5.30074i 0.159127 + 0.437198i
\(148\) 1.37671 + 10.8543i 0.113165 + 0.892221i
\(149\) −11.7998 9.90122i −0.966678 0.811139i 0.0153483 0.999882i \(-0.495114\pi\)
−0.982027 + 0.188743i \(0.939559\pi\)
\(150\) 8.52092 5.30805i 0.695730 0.433401i
\(151\) −11.0414 −0.898538 −0.449269 0.893397i \(-0.648315\pi\)
−0.449269 + 0.893397i \(0.648315\pi\)
\(152\) −7.75950 + 9.58072i −0.629379 + 0.777099i
\(153\) 5.38399i 0.435270i
\(154\) 4.24012 + 3.73629i 0.341678 + 0.301079i
\(155\) −0.524206 + 8.96389i −0.0421052 + 0.719997i
\(156\) −4.33960 + 0.550414i −0.347446 + 0.0440684i
\(157\) −1.41878 3.89806i −0.113231 0.311099i 0.870113 0.492851i \(-0.164045\pi\)
−0.983344 + 0.181752i \(0.941823\pi\)
\(158\) −0.486720 + 0.0737335i −0.0387214 + 0.00586592i
\(159\) 1.78005 1.02771i 0.141167 0.0815027i
\(160\) 10.9847 6.27180i 0.868420 0.495830i
\(161\) 0.787449 + 4.46585i 0.0620597 + 0.351958i
\(162\) −2.61860 + 6.68678i −0.205737 + 0.525363i
\(163\) 4.08673 7.07843i 0.320098 0.554426i −0.660410 0.750905i \(-0.729618\pi\)
0.980508 + 0.196480i \(0.0629509\pi\)
\(164\) −9.10522 5.86150i −0.710999 0.457707i
\(165\) −7.09500 1.68331i −0.552345 0.131046i
\(166\) −9.25125 1.86298i −0.718036 0.144596i
\(167\) 8.42722 23.1536i 0.652118 1.79168i 0.0423441 0.999103i \(-0.486517\pi\)
0.609774 0.792576i \(-0.291260\pi\)
\(168\) 5.01209 + 4.86677i 0.386691 + 0.375479i
\(169\) −1.84530 + 10.4652i −0.141946 + 0.805016i
\(170\) −17.2230 + 1.58785i −1.32094 + 0.121783i
\(171\) −4.27343 + 0.385373i −0.326798 + 0.0294702i
\(172\) 2.35631 + 4.57928i 0.179667 + 0.349167i
\(173\) −0.867871 + 4.92194i −0.0659830 + 0.374208i 0.933879 + 0.357589i \(0.116401\pi\)
−0.999862 + 0.0166187i \(0.994710\pi\)
\(174\) 5.66188 + 16.8101i 0.429226 + 1.27437i
\(175\) 5.19784 6.97505i 0.392920 0.527264i
\(176\) −8.85184 2.46198i −0.667233 0.185579i
\(177\) −7.67712 9.14923i −0.577047 0.687698i
\(178\) 14.5985 + 0.353144i 1.09421 + 0.0264693i
\(179\) 12.7245 22.0396i 0.951077 1.64731i 0.207978 0.978134i \(-0.433312\pi\)
0.743100 0.669181i \(-0.233355\pi\)
\(180\) 4.22919 + 1.22216i 0.315225 + 0.0910942i
\(181\) −7.47862 + 1.31868i −0.555881 + 0.0980169i −0.444530 0.895764i \(-0.646629\pi\)
−0.111352 + 0.993781i \(0.535518\pi\)
\(182\) −3.32744 + 1.81526i −0.246647 + 0.134556i
\(183\) −8.07326 + 4.66110i −0.596793 + 0.344558i
\(184\) −4.31701 5.97626i −0.318254 0.440576i
\(185\) −10.2187 6.72441i −0.751296 0.494388i
\(186\) 6.29981 5.03164i 0.461924 0.368938i
\(187\) 9.62395 + 8.07545i 0.703773 + 0.590536i
\(188\) 15.2180 4.71905i 1.10988 0.344172i
\(189\) 9.84132i 0.715851i
\(190\) −2.49310 13.5567i −0.180869 0.983507i
\(191\) 18.2718i 1.32210i −0.750341 0.661051i \(-0.770111\pi\)
0.750341 0.661051i \(-0.229889\pi\)
\(192\) −10.7825 3.56899i −0.778161 0.257570i
\(193\) 16.1324 + 13.5367i 1.16124 + 0.974394i 0.999922 0.0125087i \(-0.00398175\pi\)
0.161316 + 0.986903i \(0.448426\pi\)
\(194\) −4.97140 6.22439i −0.356926 0.446885i
\(195\) 2.68844 4.08548i 0.192523 0.292567i
\(196\) −7.32711 3.07574i −0.523365 0.219696i
\(197\) −13.6369 + 7.87326i −0.971588 + 0.560946i −0.899720 0.436468i \(-0.856229\pi\)
−0.0718678 + 0.997414i \(0.522896\pi\)
\(198\) −1.53138 2.80708i −0.108830 0.199490i
\(199\) −3.98026 + 0.701827i −0.282153 + 0.0497512i −0.312934 0.949775i \(-0.601312\pi\)
0.0307808 + 0.999526i \(0.490201\pi\)
\(200\) −2.66231 + 13.8893i −0.188253 + 0.982120i
\(201\) −7.58455 + 13.1368i −0.534973 + 0.926600i
\(202\) −0.461607 + 19.0822i −0.0324786 + 1.34262i
\(203\) 9.87962 + 11.7741i 0.693413 + 0.826377i
\(204\) 11.4003 + 10.5463i 0.798183 + 0.738387i
\(205\) 11.5991 3.46958i 0.810119 0.242326i
\(206\) 14.0510 4.73258i 0.978981 0.329735i
\(207\) 0.445546 2.52682i 0.0309676 0.175626i
\(208\) 3.58220 5.01411i 0.248381 0.347666i
\(209\) −5.72087 + 8.21683i −0.395721 + 0.568370i
\(210\) −7.77778 + 0.717064i −0.536718 + 0.0494821i
\(211\) −3.70732 + 21.0252i −0.255222 + 1.44744i 0.540279 + 0.841486i \(0.318319\pi\)
−0.795502 + 0.605952i \(0.792793\pi\)
\(212\) −0.640091 + 2.82388i −0.0439616 + 0.193945i
\(213\) −2.94516 + 8.09176i −0.201799 + 0.554439i
\(214\) −4.85183 + 24.0933i −0.331664 + 1.64699i
\(215\) −5.60231 1.32917i −0.382074 0.0906484i
\(216\) −6.97429 14.3996i −0.474541 0.979766i
\(217\) 3.49310 6.05023i 0.237127 0.410717i
\(218\) −20.5011 8.02843i −1.38851 0.543754i
\(219\) 1.79035 + 10.1536i 0.120981 + 0.686115i
\(220\) 8.52799 5.72661i 0.574957 0.386088i
\(221\) −7.29721 + 4.21304i −0.490863 + 0.283400i
\(222\) 1.64519 + 10.8601i 0.110418 + 0.728879i
\(223\) −2.79619 7.68248i −0.187247 0.514457i 0.810177 0.586185i \(-0.199371\pi\)
−0.997424 + 0.0717281i \(0.977149\pi\)
\(224\) −9.82741 + 0.527297i −0.656622 + 0.0352315i
\(225\) −4.11342 + 2.70267i −0.274228 + 0.180178i
\(226\) −2.54978 + 2.89361i −0.169609 + 0.192480i
\(227\) 18.3515i 1.21803i 0.793159 + 0.609015i \(0.208435\pi\)
−0.793159 + 0.609015i \(0.791565\pi\)
\(228\) −7.55488 + 9.80365i −0.500334 + 0.649262i
\(229\) 7.74094 0.511536 0.255768 0.966738i \(-0.417672\pi\)
0.255768 + 0.966738i \(0.417672\pi\)
\(230\) 8.21449 + 0.680055i 0.541648 + 0.0448415i
\(231\) 4.34612 + 3.64682i 0.285953 + 0.239943i
\(232\) −22.7996 10.2261i −1.49687 0.671375i
\(233\) 6.69262 + 18.3878i 0.438448 + 1.20463i 0.940501 + 0.339790i \(0.110356\pi\)
−0.502053 + 0.864837i \(0.667422\pi\)
\(234\) 2.12045 0.321227i 0.138618 0.0209993i
\(235\) −7.05941 + 16.3550i −0.460505 + 1.06688i
\(236\) 16.8053 + 0.813532i 1.09393 + 0.0529564i
\(237\) −0.486685 + 0.0858158i −0.0316136 + 0.00557433i
\(238\) 12.5305 + 4.90704i 0.812229 + 0.318076i
\(239\) 8.95796 + 5.17188i 0.579442 + 0.334541i 0.760912 0.648855i \(-0.224752\pi\)
−0.181469 + 0.983397i \(0.558085\pi\)
\(240\) 10.8721 6.56110i 0.701790 0.423517i
\(241\) 2.26737 + 2.70215i 0.146054 + 0.174061i 0.834112 0.551595i \(-0.185981\pi\)
−0.688057 + 0.725656i \(0.741536\pi\)
\(242\) 7.93561 + 1.59804i 0.510120 + 0.102726i
\(243\) 3.33844 9.17228i 0.214161 0.588402i
\(244\) 2.90308 12.8075i 0.185851 0.819914i
\(245\) 7.94038 3.98547i 0.507292 0.254622i
\(246\) −9.28036 5.66159i −0.591694 0.360970i
\(247\) −3.86633 5.49045i −0.246009 0.349349i
\(248\) −0.823374 + 11.3280i −0.0522843 + 0.719330i
\(249\) −9.32984 1.64510i −0.591254 0.104254i
\(250\) −9.85875 12.3614i −0.623522 0.781806i
\(251\) −1.78713 + 4.91010i −0.112803 + 0.309923i −0.983229 0.182376i \(-0.941621\pi\)
0.870426 + 0.492299i \(0.163843\pi\)
\(252\) −2.51428 2.32592i −0.158385 0.146519i
\(253\) −3.84844 4.58640i −0.241950 0.288344i
\(254\) −10.6714 0.258146i −0.669583 0.0161975i
\(255\) −17.2465 + 2.01171i −1.08002 + 0.125978i
\(256\) 14.0055 7.73596i 0.875346 0.483498i
\(257\) −0.382032 2.16661i −0.0238305 0.135149i 0.970571 0.240814i \(-0.0774143\pi\)
−0.994402 + 0.105664i \(0.966303\pi\)
\(258\) 2.47599 + 4.53859i 0.154148 + 0.282560i
\(259\) 4.75880 + 8.24248i 0.295697 + 0.512163i
\(260\) 1.65294 + 6.68840i 0.102511 + 0.414797i
\(261\) −2.97437 8.17201i −0.184109 0.505835i
\(262\) −5.82632 + 4.65346i −0.359951 + 0.287492i
\(263\) −6.44716 5.40981i −0.397549 0.333583i 0.421996 0.906597i \(-0.361329\pi\)
−0.819545 + 0.573014i \(0.805774\pi\)
\(264\) −8.94354 2.25596i −0.550437 0.138845i
\(265\) −1.93256 2.59715i −0.118716 0.159542i
\(266\) −2.99796 + 10.2970i −0.183817 + 0.631351i
\(267\) 14.6597 0.897161
\(268\) −6.32915 20.4102i −0.386615 1.24675i
\(269\) 11.2619 13.4214i 0.686649 0.818316i −0.304297 0.952577i \(-0.598422\pi\)
0.990946 + 0.134261i \(0.0428660\pi\)
\(270\) 17.3000 + 4.54909i 1.05285 + 0.276849i
\(271\) −8.42074 23.1358i −0.511524 1.40540i −0.879649 0.475624i \(-0.842222\pi\)
0.368125 0.929776i \(-0.380000\pi\)
\(272\) −21.8117 + 1.70017i −1.32253 + 0.103088i
\(273\) −3.29537 + 1.90258i −0.199445 + 0.115150i
\(274\) 12.6328 + 23.1564i 0.763173 + 1.39893i
\(275\) −1.33868 + 11.4065i −0.0807253 + 0.687839i
\(276\) −4.47766 5.89301i −0.269524 0.354717i
\(277\) 4.16512 + 2.40473i 0.250258 + 0.144486i 0.619882 0.784695i \(-0.287180\pi\)
−0.369625 + 0.929181i \(0.620514\pi\)
\(278\) 21.3988 + 0.517645i 1.28341 + 0.0310463i
\(279\) −3.02807 + 2.54085i −0.181286 + 0.152117i
\(280\) 6.69893 8.72894i 0.400338 0.521654i
\(281\) 6.36744 17.4944i 0.379850 1.04363i −0.591568 0.806255i \(-0.701491\pi\)
0.971418 0.237374i \(-0.0762867\pi\)
\(282\) 15.1583 5.10552i 0.902662 0.304030i
\(283\) 2.95087 16.7352i 0.175411 0.994806i −0.762257 0.647274i \(-0.775909\pi\)
0.937668 0.347532i \(-0.112980\pi\)
\(284\) −5.55024 10.7864i −0.329346 0.640054i
\(285\) −2.83122 13.5451i −0.167707 0.802341i
\(286\) 2.60626 4.27213i 0.154111 0.252616i
\(287\) −9.27661 1.63572i −0.547581 0.0965533i
\(288\) 5.32715 + 1.62143i 0.313905 + 0.0955435i
\(289\) 12.1363 + 4.41725i 0.713899 + 0.259838i
\(290\) 25.2644 11.9249i 1.48358 0.700252i
\(291\) −5.14044 6.12614i −0.301338 0.359121i
\(292\) −12.2125 7.86180i −0.714681 0.460077i
\(293\) 11.8946 20.6020i 0.694887 1.20358i −0.275332 0.961349i \(-0.588788\pi\)
0.970219 0.242230i \(-0.0778790\pi\)
\(294\) −7.42821 2.90895i −0.433222 0.169653i
\(295\) −12.9121 + 13.6795i −0.751770 + 0.796453i
\(296\) −12.8042 8.68774i −0.744228 0.504965i
\(297\) −6.49664 11.2525i −0.376973 0.652937i
\(298\) 21.5382 3.26283i 1.24767 0.189011i
\(299\) 3.77337 1.37340i 0.218220 0.0794256i
\(300\) −2.33471 + 14.0040i −0.134794 + 0.808521i
\(301\) 3.43175 + 2.87958i 0.197803 + 0.165976i
\(302\) 10.3234 11.7155i 0.594046 0.674151i
\(303\) 19.1622i 1.10084i
\(304\) −2.91070 17.1909i −0.166940 0.985967i
\(305\) 8.76497 + 11.7792i 0.501881 + 0.674474i
\(306\) −5.71269 5.03389i −0.326573 0.287768i
\(307\) 13.3169 15.8705i 0.760035 0.905775i −0.237815 0.971311i \(-0.576431\pi\)
0.997850 + 0.0655355i \(0.0208756\pi\)
\(308\) −7.92878 + 1.00565i −0.451784 + 0.0573021i
\(309\) 13.9868 5.09078i 0.795681 0.289604i
\(310\) −9.02102 8.93720i −0.512360 0.507599i
\(311\) 22.7327 13.1247i 1.28905 0.744236i 0.310569 0.950551i \(-0.399480\pi\)
0.978486 + 0.206315i \(0.0661470\pi\)
\(312\) 3.47339 5.11916i 0.196642 0.289815i
\(313\) −5.36045 + 0.945191i −0.302990 + 0.0534254i −0.323076 0.946373i \(-0.604717\pi\)
0.0200861 + 0.999798i \(0.493606\pi\)
\(314\) 5.46256 + 2.13919i 0.308270 + 0.120721i
\(315\) 3.80363 0.443672i 0.214310 0.0249981i
\(316\) 0.376835 0.585373i 0.0211986 0.0329298i
\(317\) −10.1806 + 8.54254i −0.571799 + 0.479797i −0.882242 0.470795i \(-0.843967\pi\)
0.310443 + 0.950592i \(0.399523\pi\)
\(318\) −0.573842 + 2.84960i −0.0321795 + 0.159798i
\(319\) −19.0688 6.94048i −1.06765 0.388592i
\(320\) −3.61573 + 17.5193i −0.202125 + 0.979360i
\(321\) −4.28440 + 24.2980i −0.239132 + 1.35618i
\(322\) −5.47473 3.33992i −0.305095 0.186126i
\(323\) −6.10899 + 23.0449i −0.339913 + 1.28225i
\(324\) −4.64669 9.03042i −0.258149 0.501690i
\(325\) −6.88187 3.46027i −0.381737 0.191941i
\(326\) 3.68959 + 10.9544i 0.204347 + 0.606706i
\(327\) −20.7700 7.55966i −1.14858 0.418050i
\(328\) 14.7325 4.18076i 0.813465 0.230844i
\(329\) 10.6171 8.90881i 0.585340 0.491159i
\(330\) 8.41971 5.95430i 0.463490 0.327774i
\(331\) −11.1350 + 19.2864i −0.612037 + 1.06008i 0.378860 + 0.925454i \(0.376316\pi\)
−0.990897 + 0.134625i \(0.957017\pi\)
\(332\) 10.6264 8.07420i 0.583198 0.443129i
\(333\) −0.935121 5.30334i −0.0512443 0.290621i
\(334\) 16.6879 + 30.5897i 0.913121 + 1.67379i
\(335\) 21.9351 + 9.46802i 1.19844 + 0.517293i
\(336\) −9.85005 + 0.767785i −0.537364 + 0.0418861i
\(337\) 2.71413 0.987863i 0.147848 0.0538123i −0.267036 0.963687i \(-0.586044\pi\)
0.414884 + 0.909874i \(0.363822\pi\)
\(338\) −9.37881 11.7426i −0.510140 0.638715i
\(339\) −2.48872 + 2.96595i −0.135169 + 0.161088i
\(340\) 14.4182 19.7590i 0.781937 1.07158i
\(341\) 9.22373i 0.499493i
\(342\) 3.58664 4.89464i 0.193943 0.264672i
\(343\) −19.0908 −1.03081
\(344\) −7.06194 1.78134i −0.380754 0.0960432i
\(345\) 8.26062 + 0.483079i 0.444737 + 0.0260081i
\(346\) −4.41099 5.52273i −0.237136 0.296904i
\(347\) 3.47991 1.26658i 0.186811 0.0679938i −0.246921 0.969036i \(-0.579419\pi\)
0.433732 + 0.901042i \(0.357196\pi\)
\(348\) −23.1301 9.70943i −1.23990 0.520480i
\(349\) 9.56687 + 16.5703i 0.512103 + 0.886988i 0.999902 + 0.0140317i \(0.00446658\pi\)
−0.487799 + 0.872956i \(0.662200\pi\)
\(350\) 2.54104 + 12.0366i 0.135824 + 0.643385i
\(351\) 8.58216 1.51327i 0.458082 0.0807722i
\(352\) 10.8885 7.09037i 0.580360 0.377918i
\(353\) −14.5615 8.40708i −0.775030 0.447464i 0.0596360 0.998220i \(-0.481006\pi\)
−0.834666 + 0.550756i \(0.814339\pi\)
\(354\) 16.8857 + 0.408472i 0.897464 + 0.0217100i
\(355\) 13.1961 + 3.13082i 0.700377 + 0.166167i
\(356\) −14.0239 + 15.1596i −0.743266 + 0.803456i
\(357\) 12.6948 + 4.62052i 0.671879 + 0.244544i
\(358\) 11.4880 + 34.1078i 0.607159 + 1.80265i
\(359\) 36.3146 + 6.40325i 1.91661 + 0.337950i 0.998319 0.0579513i \(-0.0184568\pi\)
0.918293 + 0.395902i \(0.129568\pi\)
\(360\) −5.25095 + 3.34470i −0.276749 + 0.176281i
\(361\) −18.7287 3.19939i −0.985721 0.168389i
\(362\) 5.59311 9.16812i 0.293968 0.481866i
\(363\) 8.00302 + 1.41115i 0.420050 + 0.0740661i
\(364\) 1.18499 5.22780i 0.0621104 0.274011i
\(365\) 15.5575 4.65360i 0.814315 0.243581i
\(366\) 2.60261 12.9241i 0.136041 0.675555i
\(367\) −11.4899 + 9.64113i −0.599765 + 0.503263i −0.891370 0.453276i \(-0.850255\pi\)
0.291605 + 0.956539i \(0.405811\pi\)
\(368\) 10.3774 + 1.00708i 0.540959 + 0.0524978i
\(369\) 4.61571 + 2.66488i 0.240284 + 0.138728i
\(370\) 16.6892 4.55544i 0.867628 0.236826i
\(371\) 0.437375 + 2.48048i 0.0227074 + 0.128780i
\(372\) −0.551325 + 11.3889i −0.0285849 + 0.590485i
\(373\) 6.91588 + 11.9787i 0.358091 + 0.620231i 0.987642 0.156728i \(-0.0500945\pi\)
−0.629551 + 0.776959i \(0.716761\pi\)
\(374\) −17.5666 + 2.66117i −0.908347 + 0.137606i
\(375\) −10.1944 12.1667i −0.526437 0.628284i
\(376\) −9.22123 + 20.5592i −0.475549 + 1.06026i
\(377\) 8.74847 10.4260i 0.450569 0.536967i
\(378\) −10.4421 9.20136i −0.537085 0.473267i
\(379\) −4.82805 −0.248000 −0.124000 0.992282i \(-0.539572\pi\)
−0.124000 + 0.992282i \(0.539572\pi\)
\(380\) 16.7153 + 10.0298i 0.857478 + 0.514520i
\(381\) −10.7162 −0.549005
\(382\) 19.3873 + 17.0836i 0.991941 + 0.874075i
\(383\) 9.16024 10.9168i 0.468067 0.557820i −0.479432 0.877579i \(-0.659157\pi\)
0.947499 + 0.319759i \(0.103602\pi\)
\(384\) 13.8682 8.10388i 0.707710 0.413549i
\(385\) 4.91199 7.46449i 0.250338 0.380425i
\(386\) −29.4465 + 4.46086i −1.49879 + 0.227052i
\(387\) −1.26737 2.19514i −0.0644239 0.111585i
\(388\) 11.2525 + 0.544725i 0.571260 + 0.0276542i
\(389\) −1.83595 10.4122i −0.0930863 0.527919i −0.995317 0.0966649i \(-0.969182\pi\)
0.902231 0.431254i \(-0.141929\pi\)
\(390\) 1.82128 + 6.67239i 0.0922242 + 0.337869i
\(391\) −12.3464 7.12820i −0.624384 0.360488i
\(392\) 10.1142 4.89870i 0.510843 0.247422i
\(393\) −5.73435 + 4.81169i −0.289260 + 0.242718i
\(394\) 4.39619 21.8307i 0.221477 1.09981i
\(395\) 0.223059 + 0.745707i 0.0112233 + 0.0375206i
\(396\) 4.41025 + 0.999675i 0.221623 + 0.0502356i
\(397\) −20.2288 3.56689i −1.01526 0.179017i −0.358826 0.933404i \(-0.616823\pi\)
−0.656430 + 0.754387i \(0.727934\pi\)
\(398\) 2.97676 4.87944i 0.149211 0.244584i
\(399\) −2.75878 + 10.4069i −0.138112 + 0.520999i
\(400\) −12.2480 15.8109i −0.612402 0.790547i
\(401\) 13.5503 + 2.38928i 0.676670 + 0.119315i 0.501414 0.865208i \(-0.332814\pi\)
0.175256 + 0.984523i \(0.443925\pi\)
\(402\) −6.84749 20.3302i −0.341522 1.01398i
\(403\) −5.81325 2.11585i −0.289579 0.105398i
\(404\) −19.8156 18.3311i −0.985863 0.912008i
\(405\) 11.0478 + 2.62114i 0.548972 + 0.130245i
\(406\) −21.7300 0.525659i −1.07844 0.0260880i
\(407\) −10.8824 6.28294i −0.539419 0.311434i
\(408\) −21.8491 + 2.23584i −1.08169 + 0.110690i
\(409\) 31.9524 5.63407i 1.57994 0.278587i 0.686285 0.727333i \(-0.259240\pi\)
0.893659 + 0.448746i \(0.148129\pi\)
\(410\) −7.16347 + 15.5512i −0.353779 + 0.768020i
\(411\) 13.2405 + 22.9332i 0.653106 + 1.13121i
\(412\) −8.11580 + 19.3337i −0.399837 + 0.952501i
\(413\) 13.7531 5.00571i 0.676744 0.246315i
\(414\) 2.26451 + 2.83525i 0.111295 + 0.139345i
\(415\) −0.871096 + 14.8957i −0.0427604 + 0.731201i
\(416\) 1.97096 + 8.48895i 0.0966343 + 0.416205i
\(417\) 21.4885 1.05230
\(418\) −3.36962 13.7526i −0.164813 0.672663i
\(419\) 16.5448i 0.808267i 0.914700 + 0.404134i \(0.132427\pi\)
−0.914700 + 0.404134i \(0.867573\pi\)
\(420\) 6.51117 8.92305i 0.317712 0.435400i
\(421\) −7.56489 + 9.01548i −0.368690 + 0.439388i −0.918211 0.396092i \(-0.870366\pi\)
0.549521 + 0.835480i \(0.314810\pi\)
\(422\) −18.8426 23.5917i −0.917243 1.14842i
\(423\) −7.36900 + 2.68210i −0.358293 + 0.130408i
\(424\) −2.39781 3.31941i −0.116448 0.161205i
\(425\) 6.29420 + 26.6132i 0.305314 + 1.29093i
\(426\) −5.83212 10.6905i −0.282567 0.517958i
\(427\) −1.98368 11.2500i −0.0959970 0.544426i
\(428\) −21.0279 27.6746i −1.01642 1.33770i
\(429\) 2.51194 4.35081i 0.121278 0.210059i
\(430\) 6.64832 4.70160i 0.320610 0.226731i
\(431\) −14.6777 + 12.3160i −0.706998 + 0.593242i −0.923755 0.382984i \(-0.874897\pi\)
0.216757 + 0.976226i \(0.430452\pi\)
\(432\) 21.7994 + 6.06312i 1.04883 + 0.291712i
\(433\) −17.2686 6.28527i −0.829877 0.302051i −0.108069 0.994143i \(-0.534467\pi\)
−0.721809 + 0.692093i \(0.756689\pi\)
\(434\) 3.15364 + 9.36316i 0.151380 + 0.449446i
\(435\) 25.0660 12.5812i 1.20182 0.603223i
\(436\) 27.6866 14.2464i 1.32595 0.682278i
\(437\) 4.77413 10.3099i 0.228378 0.493190i
\(438\) −12.4474 7.59366i −0.594759 0.362839i
\(439\) 0.186601 1.05827i 0.00890599 0.0505084i −0.980031 0.198845i \(-0.936281\pi\)
0.988937 + 0.148337i \(0.0473920\pi\)
\(440\) −1.89720 + 14.4028i −0.0904457 + 0.686629i
\(441\) 3.67528 + 1.33769i 0.175013 + 0.0636996i
\(442\) 2.35243 11.6818i 0.111894 0.555646i
\(443\) 1.38195 1.15959i 0.0656585 0.0550940i −0.609368 0.792888i \(-0.708577\pi\)
0.675026 + 0.737794i \(0.264132\pi\)
\(444\) −13.0613 8.40822i −0.619861 0.399036i
\(445\) −2.67507 22.9335i −0.126811 1.08715i
\(446\) 10.7659 + 4.21600i 0.509778 + 0.199634i
\(447\) 21.5366 3.79749i 1.01865 0.179615i
\(448\) 8.62887 10.9204i 0.407676 0.515940i
\(449\) −16.6526 + 9.61441i −0.785887 + 0.453732i −0.838512 0.544882i \(-0.816574\pi\)
0.0526258 + 0.998614i \(0.483241\pi\)
\(450\) 0.978273 6.89147i 0.0461162 0.324867i
\(451\) 11.6866 4.25358i 0.550301 0.200293i
\(452\) −0.686291 5.41089i −0.0322804 0.254507i
\(453\) 10.0762 12.0084i 0.473422 0.564202i
\(454\) −19.4718 17.1581i −0.913858 0.805270i
\(455\) 3.57772 + 4.80807i 0.167726 + 0.225406i
\(456\) −3.33855 17.1822i −0.156342 0.804632i
\(457\) 18.2055i 0.851618i 0.904813 + 0.425809i \(0.140010\pi\)
−0.904813 + 0.425809i \(0.859990\pi\)
\(458\) −7.23757 + 8.21353i −0.338189 + 0.383793i
\(459\) −23.7009 19.8874i −1.10626 0.928265i
\(460\) −8.40189 + 8.08015i −0.391740 + 0.376739i
\(461\) −14.2977 + 5.20394i −0.665911 + 0.242372i −0.652786 0.757542i \(-0.726400\pi\)
−0.0131245 + 0.999914i \(0.504178\pi\)
\(462\) −7.93296 + 1.20177i −0.369075 + 0.0559113i
\(463\) 9.01613 + 15.6164i 0.419015 + 0.725755i 0.995841 0.0911121i \(-0.0290421\pi\)
−0.576826 + 0.816867i \(0.695709\pi\)
\(464\) 32.1674 14.6304i 1.49333 0.679199i
\(465\) −9.27053 8.75042i −0.429910 0.405791i
\(466\) −25.7678 10.0909i −1.19367 0.467452i
\(467\) −16.2072 + 28.0717i −0.749979 + 1.29900i 0.197853 + 0.980232i \(0.436603\pi\)
−0.947832 + 0.318770i \(0.896730\pi\)
\(468\) −1.64172 + 2.55024i −0.0758885 + 0.117885i
\(469\) −11.9484 14.2396i −0.551727 0.657522i
\(470\) −10.7531 22.7818i −0.496003 1.05085i
\(471\) 5.53419 + 2.01428i 0.255002 + 0.0928132i
\(472\) −16.5757 + 17.0707i −0.762959 + 0.785741i
\(473\) −5.82477 1.02706i −0.267823 0.0472245i
\(474\) 0.363982 0.596633i 0.0167183 0.0274043i
\(475\) −20.6731 + 6.90080i −0.948549 + 0.316630i
\(476\) −16.9222 + 8.70751i −0.775630 + 0.399108i
\(477\) 0.247471 1.40348i 0.0113309 0.0642609i
\(478\) −13.8631 + 4.66928i −0.634082 + 0.213568i
\(479\) −2.25454 + 6.19431i −0.103013 + 0.283025i −0.980482 0.196607i \(-0.937008\pi\)
0.877470 + 0.479632i \(0.159230\pi\)
\(480\) −3.20344 + 17.6703i −0.146216 + 0.806534i
\(481\) 6.45614 5.41735i 0.294375 0.247010i
\(482\) −4.98705 0.120639i −0.227154 0.00549495i
\(483\) −5.57556 3.21905i −0.253697 0.146472i
\(484\) −9.11518 + 6.92595i −0.414326 + 0.314816i
\(485\) −8.64566 + 9.15954i −0.392579 + 0.415913i
\(486\) 6.61090 + 12.1181i 0.299877 + 0.549687i
\(487\) −25.2833 + 14.5973i −1.14570 + 0.661467i −0.947835 0.318763i \(-0.896733\pi\)
−0.197861 + 0.980230i \(0.563399\pi\)
\(488\) 10.8751 + 15.0549i 0.492291 + 0.681505i
\(489\) 3.96884 + 10.9043i 0.179477 + 0.493109i
\(490\) −3.19525 + 12.1514i −0.144347 + 0.548946i
\(491\) −24.9722 + 29.7607i −1.12698 + 1.34308i −0.194902 + 0.980823i \(0.562439\pi\)
−0.932077 + 0.362259i \(0.882006\pi\)
\(492\) 14.6841 4.55350i 0.662011 0.205288i
\(493\) −48.3203 −2.17624
\(494\) 9.44055 + 1.03104i 0.424750 + 0.0463888i
\(495\) −4.05616 + 3.01821i −0.182311 + 0.135659i
\(496\) −11.2498 11.4650i −0.505129 0.514795i
\(497\) −8.08341 6.78278i −0.362590 0.304249i
\(498\) 10.4687 8.36130i 0.469113 0.374679i
\(499\) 6.50255 + 17.8656i 0.291094 + 0.799774i 0.995907 + 0.0903814i \(0.0288086\pi\)
−0.704813 + 0.709393i \(0.748969\pi\)
\(500\) 22.3338 + 1.09698i 0.998796 + 0.0490583i
\(501\) 17.4907 + 30.2948i 0.781428 + 1.35347i
\(502\) −3.53895 6.48704i −0.157951 0.289531i
\(503\) −1.67324 9.48939i −0.0746059 0.423111i −0.999119 0.0419613i \(-0.986639\pi\)
0.924513 0.381150i \(-0.124472\pi\)
\(504\) 4.81870 0.493102i 0.214642 0.0219645i
\(505\) 29.9772 3.49668i 1.33397 0.155600i
\(506\) 8.46458 + 0.204762i 0.376297 + 0.00910278i
\(507\) −9.69772 11.5573i −0.430691 0.513277i
\(508\) 10.2514 11.0815i 0.454831 0.491664i
\(509\) 5.52241 15.1727i 0.244777 0.672518i −0.755081 0.655632i \(-0.772402\pi\)
0.999857 0.0168864i \(-0.00537536\pi\)
\(510\) 13.9905 20.1803i 0.619509 0.893599i
\(511\) −12.4423 2.19392i −0.550417 0.0970533i
\(512\) −4.88654 + 22.0935i −0.215957 + 0.976403i
\(513\) 14.0888 20.2356i 0.622034 0.893423i
\(514\) 2.65607 + 1.62037i 0.117154 + 0.0714713i
\(515\) −10.5162 20.9518i −0.463401 0.923249i
\(516\) −7.13065 1.61631i −0.313909 0.0711541i
\(517\) −6.25848 + 17.1950i −0.275248 + 0.756237i
\(518\) −13.1950 2.65717i −0.579756 0.116749i
\(519\) −4.56097 5.43556i −0.200204 0.238594i
\(520\) −8.64218 4.49961i −0.378985 0.197321i
\(521\) −6.94349 4.00883i −0.304200 0.175630i 0.340128 0.940379i \(-0.389530\pi\)
−0.644328 + 0.764749i \(0.722863\pi\)
\(522\) 11.4519 + 4.48465i 0.501234 + 0.196288i
\(523\) 9.73748 1.71698i 0.425790 0.0750783i 0.0433531 0.999060i \(-0.486196\pi\)
0.382437 + 0.923981i \(0.375085\pi\)
\(524\) 0.509888 10.5329i 0.0222745 0.460130i
\(525\) 2.84242 + 12.0184i 0.124054 + 0.524524i
\(526\) 11.7680 1.78274i 0.513109 0.0777311i
\(527\) 7.51191 + 20.6388i 0.327224 + 0.899041i
\(528\) 10.7556 7.38028i 0.468079 0.321185i
\(529\) −12.4145 10.4170i −0.539760 0.452913i
\(530\) 4.56260 + 0.377725i 0.198187 + 0.0164073i
\(531\) −8.28103 −0.359366
\(532\) −8.12265 12.8084i −0.352162 0.555315i
\(533\) 8.34122i 0.361298i
\(534\) −13.7064 + 15.5547i −0.593136 + 0.673118i
\(535\) 38.7934 + 2.26863i 1.67718 + 0.0980813i
\(536\) 27.5738 + 12.3674i 1.19101 + 0.534192i
\(537\) 12.3575 + 33.9519i 0.533264 + 1.46513i
\(538\) 3.71122 + 24.4980i 0.160002 + 1.05619i
\(539\) 7.90369 4.56320i 0.340436 0.196551i
\(540\) −21.0019 + 14.1029i −0.903776 + 0.606893i
\(541\) −6.55009 37.1474i −0.281610 1.59709i −0.717148 0.696920i \(-0.754553\pi\)
0.435538 0.900170i \(-0.356558\pi\)
\(542\) 32.4214 + 12.6965i 1.39262 + 0.545361i
\(543\) 5.39070 9.33697i 0.231337 0.400688i
\(544\) 18.5894 24.7330i 0.797014 1.06042i
\(545\) −8.03620 + 33.8718i −0.344233 + 1.45091i
\(546\) 1.06234 5.27542i 0.0454642 0.225767i
\(547\) 2.99512 8.22902i 0.128062 0.351847i −0.859047 0.511897i \(-0.828943\pi\)
0.987109 + 0.160049i \(0.0511653\pi\)
\(548\) −36.3814 8.24660i −1.55414 0.352278i
\(549\) −1.12239 + 6.36537i −0.0479023 + 0.271667i
\(550\) −10.8513 12.0852i −0.462699 0.515314i
\(551\) −3.45865 38.3533i −0.147343 1.63390i
\(552\) 10.4393 + 0.758775i 0.444325 + 0.0322956i
\(553\) 0.105160 0.596391i 0.00447185 0.0253611i
\(554\) −6.44581 + 2.17104i −0.273856 + 0.0922387i
\(555\) 16.6387 4.97704i 0.706275 0.211264i
\(556\) −20.5565 + 22.2212i −0.871790 + 0.942388i
\(557\) 24.4315 + 29.1163i 1.03520 + 1.23370i 0.971824 + 0.235709i \(0.0757411\pi\)
0.0633722 + 0.997990i \(0.479814\pi\)
\(558\) 0.135190 5.58856i 0.00572303 0.236583i
\(559\) 1.98346 3.43546i 0.0838915 0.145304i
\(560\) 2.99853 + 15.2692i 0.126711 + 0.645242i
\(561\) −17.5653 + 3.09724i −0.741609 + 0.130766i
\(562\) 12.6091 + 23.1130i 0.531881 + 0.974961i
\(563\) 8.52243 4.92043i 0.359178 0.207371i −0.309542 0.950886i \(-0.600176\pi\)
0.668720 + 0.743514i \(0.266843\pi\)
\(564\) −8.75535 + 20.8572i −0.368667 + 0.878247i
\(565\) 5.09404 + 3.35212i 0.214308 + 0.141025i
\(566\) 14.9979 + 18.7780i 0.630410 + 0.789298i
\(567\) −6.76747 5.67858i −0.284207 0.238478i
\(568\) 16.6342 + 4.19589i 0.697956 + 0.176056i
\(569\) 14.7261i 0.617350i −0.951168 0.308675i \(-0.900114\pi\)
0.951168 0.308675i \(-0.0998855\pi\)
\(570\) 17.0191 + 9.66020i 0.712852 + 0.404621i
\(571\) 9.73152i 0.407251i −0.979049 0.203626i \(-0.934727\pi\)
0.979049 0.203626i \(-0.0652726\pi\)
\(572\) 2.09616 + 6.75969i 0.0876450 + 0.282637i
\(573\) 19.8720 + 16.6746i 0.830163 + 0.696590i
\(574\) 10.4089 8.31359i 0.434461 0.347003i
\(575\) −0.751654 13.0110i −0.0313461 0.542596i
\(576\) −6.70115 + 4.13639i −0.279215 + 0.172349i
\(577\) −25.6009 + 14.7807i −1.06578 + 0.615328i −0.927025 0.374999i \(-0.877643\pi\)
−0.138754 + 0.990327i \(0.544310\pi\)
\(578\) −16.0340 + 8.74721i −0.666927 + 0.363836i
\(579\) −29.4444 + 5.19184i −1.22367 + 0.215766i
\(580\) −10.9686 + 37.9562i −0.455448 + 1.57605i
\(581\) 5.80465 10.0539i 0.240817 0.417108i
\(582\) 11.3063 + 0.273504i 0.468662 + 0.0113371i
\(583\) −2.13755 2.54744i −0.0885284 0.105504i
\(584\) 19.7601 5.60748i 0.817678 0.232039i
\(585\) −0.971777 3.24874i −0.0401780 0.134319i
\(586\) 10.7386 + 31.8830i 0.443609 + 1.31707i
\(587\) −5.04001 + 28.5833i −0.208023 + 1.17976i 0.684587 + 0.728931i \(0.259982\pi\)
−0.892611 + 0.450828i \(0.851129\pi\)
\(588\) 10.0317 5.16191i 0.413701 0.212874i
\(589\) −15.8439 + 7.43970i −0.652838 + 0.306547i
\(590\) −2.44225 26.4903i −0.100546 1.09059i
\(591\) 3.88204 22.0161i 0.159686 0.905623i
\(592\) 21.1897 5.46308i 0.870891 0.224531i
\(593\) −7.21665 + 19.8276i −0.296352 + 0.814221i 0.698750 + 0.715366i \(0.253740\pi\)
−0.995102 + 0.0988546i \(0.968482\pi\)
\(594\) 18.0137 + 3.62752i 0.739109 + 0.148839i
\(595\) 4.91179 20.7027i 0.201364 0.848729i
\(596\) −16.6756 + 25.9037i −0.683058 + 1.06106i
\(597\) 2.86903 4.96930i 0.117422 0.203380i
\(598\) −2.07076 + 5.28783i −0.0846796 + 0.216235i
\(599\) −2.87403 16.2994i −0.117430 0.665977i −0.985519 0.169568i \(-0.945763\pi\)
0.868089 0.496409i \(-0.165348\pi\)
\(600\) −12.6761 15.5706i −0.517498 0.635667i
\(601\) −17.4064 + 10.0496i −0.710022 + 0.409931i −0.811069 0.584950i \(-0.801114\pi\)
0.101047 + 0.994882i \(0.467781\pi\)
\(602\) −6.26397 + 0.948932i −0.255301 + 0.0386756i
\(603\) 3.59721 + 9.88324i 0.146490 + 0.402477i
\(604\) 2.77862 + 21.9073i 0.113060 + 0.891396i
\(605\) 0.747216 12.7774i 0.0303786 0.519473i
\(606\) −20.3321 17.9162i −0.825935 0.727794i
\(607\) 12.0712i 0.489957i 0.969529 + 0.244978i \(0.0787809\pi\)
−0.969529 + 0.244978i \(0.921219\pi\)
\(608\) 20.9619 + 12.9846i 0.850115 + 0.526596i
\(609\) −21.8212 −0.884238
\(610\) −20.6933 1.71314i −0.837847 0.0693631i
\(611\) −9.40152 7.88881i −0.380345 0.319147i
\(612\) 10.6824 1.35490i 0.431811 0.0547688i
\(613\) −0.753056 2.06900i −0.0304156 0.0835663i 0.923555 0.383465i \(-0.125269\pi\)
−0.953971 + 0.299899i \(0.903047\pi\)
\(614\) 4.38842 + 28.9683i 0.177102 + 1.16907i
\(615\) −6.81176 + 15.7812i −0.274677 + 0.636360i
\(616\) 6.34615 9.35309i 0.255694 0.376847i
\(617\) 17.6184 3.10660i 0.709289 0.125067i 0.192647 0.981268i \(-0.438293\pi\)
0.516642 + 0.856201i \(0.327182\pi\)
\(618\) −7.67569 + 19.6004i −0.308762 + 0.788444i
\(619\) 35.1151 + 20.2737i 1.41139 + 0.814869i 0.995520 0.0945525i \(-0.0301420\pi\)
0.415875 + 0.909422i \(0.363475\pi\)
\(620\) 17.9172 1.21572i 0.719573 0.0488246i
\(621\) 9.47756 + 11.2949i 0.380321 + 0.453249i
\(622\) −7.32846 + 36.3918i −0.293844 + 1.45918i
\(623\) −6.14414 + 16.8809i −0.246160 + 0.676318i
\(624\) 2.18416 + 8.47171i 0.0874363 + 0.339140i
\(625\) −17.1732 + 18.1682i −0.686927 + 0.726727i
\(626\) 4.00897 6.57143i 0.160231 0.262647i
\(627\) −3.71565 13.7204i −0.148389 0.547941i
\(628\) −7.37713 + 3.79597i −0.294379 + 0.151476i
\(629\) −29.4670 5.19583i −1.17493 0.207171i
\(630\) −3.08553 + 4.45066i −0.122930 + 0.177318i
\(631\) 13.2184 36.3172i 0.526216 1.44577i −0.337277 0.941405i \(-0.609506\pi\)
0.863493 0.504361i \(-0.168272\pi\)
\(632\) 0.268780 + 0.947149i 0.0106915 + 0.0376756i
\(633\) −19.4833 23.2193i −0.774391 0.922884i
\(634\) 0.454518 18.7892i 0.0180512 0.746213i
\(635\) 1.95546 + 16.7642i 0.0775999 + 0.665269i
\(636\) −2.48704 3.27317i −0.0986176 0.129790i
\(637\) 1.06291 + 6.02806i 0.0421140 + 0.238840i
\(638\) 25.1930 13.7438i 0.997401 0.544123i
\(639\) 2.98525 + 5.17061i 0.118095 + 0.204546i
\(640\) −15.2083 20.2165i −0.601160 0.799129i
\(641\) −1.75540 4.82293i −0.0693343 0.190494i 0.900186 0.435506i \(-0.143430\pi\)
−0.969520 + 0.245011i \(0.921208\pi\)
\(642\) −21.7756 27.2639i −0.859415 1.07602i
\(643\) −29.6773 24.9022i −1.17036 0.982049i −0.170365 0.985381i \(-0.554495\pi\)
−0.999994 + 0.00333236i \(0.998939\pi\)
\(644\) 8.66254 2.68623i 0.341352 0.105852i
\(645\) 6.55815 4.87996i 0.258227 0.192148i
\(646\) −18.7401 28.0283i −0.737318 1.10276i
\(647\) 27.4359 1.07862 0.539308 0.842108i \(-0.318686\pi\)
0.539308 + 0.842108i \(0.318686\pi\)
\(648\) 13.9263 + 3.51282i 0.547075 + 0.137997i
\(649\) −12.4207 + 14.8024i −0.487556 + 0.581046i
\(650\) 10.1059 4.06676i 0.396385 0.159511i
\(651\) 3.39233 + 9.32036i 0.132956 + 0.365294i
\(652\) −15.0728 6.32719i −0.590296 0.247792i
\(653\) 7.98181 4.60830i 0.312352 0.180337i −0.335626 0.941995i \(-0.608948\pi\)
0.647979 + 0.761658i \(0.275615\pi\)
\(654\) 27.4405 14.9699i 1.07301 0.585370i
\(655\) 8.57375 + 8.09274i 0.335004 + 0.316209i
\(656\) −9.33847 + 19.5408i −0.364606 + 0.762940i
\(657\) 6.19087 + 3.57430i 0.241529 + 0.139447i
\(658\) −0.474006 + 19.5948i −0.0184787 + 0.763884i
\(659\) 25.5973 21.4787i 0.997129 0.836691i 0.0105451 0.999944i \(-0.496643\pi\)
0.986584 + 0.163254i \(0.0521989\pi\)
\(660\) −1.55438 + 14.5008i −0.0605041 + 0.564444i
\(661\) 9.38080 25.7735i 0.364871 1.00247i −0.612413 0.790538i \(-0.709801\pi\)
0.977284 0.211936i \(-0.0679769\pi\)
\(662\) −10.0529 29.8471i −0.390718 1.16004i
\(663\) 2.07731 11.7810i 0.0806761 0.457537i
\(664\) −1.36824 + 18.8243i −0.0530979 + 0.730523i
\(665\) 16.7839 + 2.41678i 0.650853 + 0.0937187i
\(666\) 6.50142 + 3.96626i 0.251925 + 0.153690i
\(667\) 22.6777 + 3.99869i 0.878085 + 0.154830i
\(668\) −48.0599 10.8938i −1.85949 0.421493i
\(669\) 10.9070 + 3.96984i 0.421690 + 0.153483i
\(670\) −30.5548 + 14.4219i −1.18043 + 0.557168i
\(671\) 9.69470 + 11.5537i 0.374260 + 0.446025i
\(672\) 8.39486 11.1692i 0.323839 0.430863i
\(673\) 0.0628497 0.108859i 0.00242268 0.00419620i −0.864812 0.502097i \(-0.832562\pi\)
0.867234 + 0.497900i \(0.165896\pi\)
\(674\) −1.48947 + 3.80345i −0.0573721 + 0.146504i
\(675\) 3.29676 28.0908i 0.126892 1.08122i
\(676\) 21.2285 + 1.02765i 0.816479 + 0.0395251i
\(677\) −9.60120 16.6298i −0.369004 0.639134i 0.620406 0.784281i \(-0.286968\pi\)
−0.989410 + 0.145147i \(0.953635\pi\)
\(678\) −0.820129 5.41374i −0.0314969 0.207913i
\(679\) 9.20877 3.35172i 0.353400 0.128627i
\(680\) 7.48470 + 33.7726i 0.287025 + 1.29512i
\(681\) −19.9586 16.7473i −0.764815 0.641756i
\(682\) −9.78684 8.62393i −0.374758 0.330228i
\(683\) 15.0197i 0.574715i 0.957823 + 0.287357i \(0.0927767\pi\)
−0.957823 + 0.287357i \(0.907223\pi\)
\(684\) 1.84005 + 8.38196i 0.0703560 + 0.320492i
\(685\) 33.4604 24.8981i 1.27846 0.951308i
\(686\) 17.8493 20.2563i 0.681491 0.773388i
\(687\) −7.06426 + 8.41886i −0.269518 + 0.321199i
\(688\) 8.49280 5.82757i 0.323785 0.222174i
\(689\) 2.09586 0.762829i 0.0798458 0.0290615i
\(690\) −8.23602 + 8.31327i −0.313540 + 0.316481i
\(691\) 33.3764 19.2699i 1.26970 0.733060i 0.294767 0.955569i \(-0.404758\pi\)
0.974931 + 0.222509i \(0.0714246\pi\)
\(692\) 9.98404 + 0.483319i 0.379536 + 0.0183730i
\(693\) 3.87394 0.683079i 0.147159 0.0259480i
\(694\) −1.90971 + 4.87658i −0.0724916 + 0.185112i
\(695\) −3.92117 33.6164i −0.148738 1.27514i
\(696\) 31.9282 15.4641i 1.21023 0.586165i
\(697\) 22.6855 19.0354i 0.859276 0.721018i
\(698\) −26.5267 5.34184i −1.00405 0.202192i
\(699\) −26.1057 9.50171i −0.987409 0.359388i
\(700\) −15.1473 8.55775i −0.572513 0.323453i
\(701\) −8.19094 + 46.4532i −0.309368 + 1.75451i 0.292830 + 0.956164i \(0.405403\pi\)
−0.602198 + 0.798347i \(0.705708\pi\)
\(702\) −6.41843 + 10.5210i −0.242248 + 0.397088i
\(703\) 2.01491 23.7607i 0.0759937 0.896153i
\(704\) −2.65723 + 18.1826i −0.100148 + 0.685281i
\(705\) −11.3449 22.6029i −0.427275 0.851275i
\(706\) 22.5349 7.59008i 0.848113 0.285657i
\(707\) −22.0656 8.03121i −0.829861 0.302045i
\(708\) −16.2211 + 17.5346i −0.609624 + 0.658992i
\(709\) −7.15207 + 6.00130i −0.268602 + 0.225384i −0.767133 0.641488i \(-0.778317\pi\)
0.498531 + 0.866872i \(0.333873\pi\)
\(710\) −15.6599 + 11.0745i −0.587707 + 0.415619i
\(711\) −0.171325 + 0.296743i −0.00642519 + 0.0111287i
\(712\) −2.97310 29.0538i −0.111422 1.08884i
\(713\) −1.81755 10.3079i −0.0680679 0.386032i
\(714\) −16.7719 + 9.14974i −0.627671 + 0.342420i
\(715\) −7.26473 3.13573i −0.271686 0.117270i
\(716\) −46.9310 19.7005i −1.75389 0.736242i
\(717\) −13.7997 + 5.02268i −0.515359 + 0.187575i
\(718\) −40.7473 + 32.5448i −1.52068 + 1.21456i
\(719\) −5.37015 + 6.39989i −0.200273 + 0.238676i −0.856828 0.515602i \(-0.827568\pi\)
0.656556 + 0.754278i \(0.272013\pi\)
\(720\) 1.36059 8.69872i 0.0507064 0.324182i
\(721\) 18.2396i 0.679278i
\(722\) 20.9055 16.8807i 0.778023 0.628236i
\(723\) −5.00796 −0.186248
\(724\) 4.49843 + 14.5065i 0.167183 + 0.539130i
\(725\) −24.2559 36.9172i −0.900842 1.37107i
\(726\) −8.97990 + 7.17222i −0.333275 + 0.266186i
\(727\) −4.19333 + 1.52625i −0.155522 + 0.0566053i −0.418608 0.908167i \(-0.637482\pi\)
0.263086 + 0.964772i \(0.415260\pi\)
\(728\) 4.43902 + 6.14518i 0.164521 + 0.227756i
\(729\) 14.5458 + 25.1940i 0.538733 + 0.933113i
\(730\) −9.60808 + 20.8582i −0.355611 + 0.771998i
\(731\) −13.8698 + 2.44562i −0.512994 + 0.0904546i
\(732\) 11.2798 + 14.8452i 0.416912 + 0.548695i
\(733\) −23.5838 13.6161i −0.871087 0.502922i −0.00337737 0.999994i \(-0.501075\pi\)
−0.867709 + 0.497072i \(0.834408\pi\)
\(734\) 0.512970 21.2055i 0.0189341 0.782709i
\(735\) −2.91177 + 12.2728i −0.107402 + 0.452690i
\(736\) −10.7711 + 10.0693i −0.397030 + 0.371161i
\(737\) 23.0619 + 8.39383i 0.849494 + 0.309191i
\(738\) −7.14314 + 2.40591i −0.262943 + 0.0885628i
\(739\) −40.6553 7.16863i −1.49553 0.263702i −0.634766 0.772705i \(-0.718903\pi\)
−0.860765 + 0.509002i \(0.830015\pi\)
\(740\) −10.7703 + 21.9672i −0.395926 + 0.807532i
\(741\) 9.49962 + 0.805567i 0.348977 + 0.0295932i
\(742\) −3.04084 1.85510i −0.111633 0.0681029i
\(743\) 47.6586 + 8.40349i 1.74842 + 0.308294i 0.954164 0.299285i \(-0.0967481\pi\)
0.794259 + 0.607579i \(0.207859\pi\)
\(744\) −11.5687 11.2332i −0.424128 0.411831i
\(745\) −9.87071 32.9987i −0.361635 1.20898i
\(746\) −19.1761 3.86161i −0.702087 0.141384i
\(747\) −5.03188 + 4.22225i −0.184107 + 0.154484i
\(748\) 13.6006 21.1271i 0.497288 0.772485i
\(749\) −26.1838 15.1172i −0.956736 0.552372i
\(750\) 22.4409 + 0.558722i 0.819427 + 0.0204016i
\(751\) 1.70684 + 9.67995i 0.0622833 + 0.353226i 0.999983 + 0.00578021i \(0.00183991\pi\)
−0.937700 + 0.347446i \(0.887049\pi\)
\(752\) −13.1928 29.0065i −0.481090 1.05776i
\(753\) −3.70920 6.42452i −0.135171 0.234122i
\(754\) 2.88295 + 19.0306i 0.104991 + 0.693053i
\(755\) −20.6245 13.5719i −0.750601 0.493931i
\(756\) 19.5262 2.47661i 0.710161 0.0900734i
\(757\) −8.78222 + 10.4662i −0.319195 + 0.380402i −0.901654 0.432458i \(-0.857646\pi\)
0.582459 + 0.812860i \(0.302091\pi\)
\(758\) 4.51409 5.12280i 0.163959 0.186069i
\(759\) 8.50008 0.308533
\(760\) −26.2705 + 8.35818i −0.952932 + 0.303183i
\(761\) 29.7646 1.07897 0.539483 0.841996i \(-0.318620\pi\)
0.539483 + 0.841996i \(0.318620\pi\)
\(762\) 10.0193 11.3704i 0.362961 0.411905i
\(763\) 17.4101 20.7485i 0.630288 0.751147i
\(764\) −36.2532 + 4.59818i −1.31159 + 0.166356i
\(765\) −6.61790 + 10.0569i −0.239271 + 0.363607i
\(766\) 3.01865 + 19.9263i 0.109068 + 0.719968i
\(767\) −6.48001 11.2237i −0.233980 0.405265i
\(768\) −4.36778 + 22.2918i −0.157609 + 0.804385i