Properties

Label 400.2.be.a.181.7
Level $400$
Weight $2$
Character 400.181
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 181.7
Character \(\chi\) \(=\) 400.181
Dual form 400.2.be.a.221.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.32096 - 0.505044i) q^{2} +(-0.0284977 + 0.179927i) q^{3} +(1.48986 + 1.33428i) q^{4} +(1.98191 + 1.03540i) q^{5} +(0.128516 - 0.223284i) q^{6} +0.839485i q^{7} +(-1.29417 - 2.51498i) q^{8} +(2.82161 + 0.916796i) q^{9} +O(q^{10})\) \(q+(-1.32096 - 0.505044i) q^{2} +(-0.0284977 + 0.179927i) q^{3} +(1.48986 + 1.33428i) q^{4} +(1.98191 + 1.03540i) q^{5} +(0.128516 - 0.223284i) q^{6} +0.839485i q^{7} +(-1.29417 - 2.51498i) q^{8} +(2.82161 + 0.916796i) q^{9} +(-2.09509 - 2.36867i) q^{10} +(-1.13833 + 2.23411i) q^{11} +(-0.282532 + 0.230043i) q^{12} +(-0.0565415 - 0.110969i) q^{13} +(0.423977 - 1.10892i) q^{14} +(-0.242776 + 0.327093i) q^{15} +(0.439368 + 3.97580i) q^{16} +(-0.867590 - 0.630341i) q^{17} +(-3.26420 - 2.63609i) q^{18} +(-1.56663 + 0.248130i) q^{19} +(1.57125 + 4.18702i) q^{20} +(-0.151046 - 0.0239234i) q^{21} +(2.63202 - 2.37625i) q^{22} +(-3.63886 + 1.18234i) q^{23} +(0.489394 - 0.161185i) q^{24} +(2.85591 + 4.10412i) q^{25} +(0.0186447 + 0.175141i) q^{26} +(-0.493476 + 0.968502i) q^{27} +(-1.12011 + 1.25072i) q^{28} +(-0.00352316 + 0.0222443i) q^{29} +(0.485893 - 0.309463i) q^{30} +(4.71499 + 3.42564i) q^{31} +(1.42757 - 5.47376i) q^{32} +(-0.369537 - 0.268484i) q^{33} +(0.827700 + 1.27083i) q^{34} +(-0.869200 + 1.66378i) q^{35} +(2.98053 + 5.13073i) q^{36} +(3.85359 - 1.96350i) q^{37} +(2.19477 + 0.463449i) q^{38} +(0.0215776 - 0.00701100i) q^{39} +(0.0390771 - 6.32443i) q^{40} +(3.07859 + 1.00029i) q^{41} +(0.187443 + 0.107887i) q^{42} +(2.41770 + 2.41770i) q^{43} +(-4.67690 + 1.80965i) q^{44} +(4.64292 + 4.73849i) q^{45} +(5.40392 + 0.275968i) q^{46} +(6.85681 - 4.98176i) q^{47} +(-0.727875 - 0.0342467i) q^{48} +6.29526 q^{49} +(-1.69977 - 6.86373i) q^{50} +(0.138140 - 0.138140i) q^{51} +(0.0638252 - 0.240771i) q^{52} +(-5.13242 - 0.812896i) q^{53} +(1.14100 - 1.03012i) q^{54} +(-4.56926 + 3.24917i) q^{55} +(2.11129 - 1.08644i) q^{56} -0.288951i q^{57} +(0.0158883 - 0.0276045i) q^{58} +(-3.69685 + 1.88364i) q^{59} +(-0.798137 + 0.163390i) q^{60} +(2.92187 + 1.48876i) q^{61} +(-4.49820 - 6.90641i) q^{62} +(-0.769637 + 2.36870i) q^{63} +(-4.65025 + 6.50962i) q^{64} +(0.00283688 - 0.278473i) q^{65} +(0.352546 + 0.541289i) q^{66} +(5.76710 - 0.913419i) q^{67} +(-0.451533 - 2.09673i) q^{68} +(-0.109036 - 0.688425i) q^{69} +(1.98846 - 1.75880i) q^{70} +(-9.05193 - 12.4589i) q^{71} +(-1.34592 - 8.28278i) q^{72} +(-12.0099 + 3.90226i) q^{73} +(-6.08208 + 0.647470i) q^{74} +(-0.819830 + 0.396898i) q^{75} +(-2.66514 - 1.72065i) q^{76} +(-1.87550 - 0.955615i) q^{77} +(-0.0320440 - 0.00163643i) q^{78} +(0.394590 - 0.286686i) q^{79} +(-3.24574 + 8.33458i) q^{80} +(7.04041 + 5.11516i) q^{81} +(-3.56149 - 2.87617i) q^{82} +(-13.4491 + 2.13013i) q^{83} +(-0.193117 - 0.237181i) q^{84} +(-1.06683 - 2.14758i) q^{85} +(-1.97264 - 4.41473i) q^{86} +(-0.00390196 - 0.00126782i) q^{87} +(7.09194 - 0.0284265i) q^{88} +(7.89287 - 2.56455i) q^{89} +(-3.73995 - 8.60422i) q^{90} +(0.0931568 - 0.0474657i) q^{91} +(-6.99897 - 3.09376i) q^{92} +(-0.750733 + 0.750733i) q^{93} +(-11.5736 + 3.11771i) q^{94} +(-3.36183 - 1.13031i) q^{95} +(0.944197 + 0.412848i) q^{96} +(6.73788 - 4.89536i) q^{97} +(-8.31578 - 3.17939i) q^{98} +(-5.26016 + 5.26016i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.32096 0.505044i −0.934058 0.357120i
\(3\) −0.0284977 + 0.179927i −0.0164531 + 0.103881i −0.994548 0.104277i \(-0.966747\pi\)
0.978095 + 0.208159i \(0.0667470\pi\)
\(4\) 1.48986 + 1.33428i 0.744930 + 0.667142i
\(5\) 1.98191 + 1.03540i 0.886336 + 0.463043i
\(6\) 0.128516 0.223284i 0.0524662 0.0911552i
\(7\) 0.839485i 0.317296i 0.987335 + 0.158648i \(0.0507134\pi\)
−0.987335 + 0.158648i \(0.949287\pi\)
\(8\) −1.29417 2.51498i −0.457558 0.889180i
\(9\) 2.82161 + 0.916796i 0.940536 + 0.305599i
\(10\) −2.09509 2.36867i −0.662527 0.749038i
\(11\) −1.13833 + 2.23411i −0.343221 + 0.673609i −0.996508 0.0835017i \(-0.973390\pi\)
0.653287 + 0.757111i \(0.273390\pi\)
\(12\) −0.282532 + 0.230043i −0.0815599 + 0.0664076i
\(13\) −0.0565415 0.110969i −0.0156818 0.0307772i 0.883033 0.469311i \(-0.155498\pi\)
−0.898715 + 0.438534i \(0.855498\pi\)
\(14\) 0.423977 1.10892i 0.113313 0.296373i
\(15\) −0.242776 + 0.327093i −0.0626845 + 0.0844550i
\(16\) 0.439368 + 3.97580i 0.109842 + 0.993949i
\(17\) −0.867590 0.630341i −0.210421 0.152880i 0.477583 0.878587i \(-0.341513\pi\)
−0.688004 + 0.725707i \(0.741513\pi\)
\(18\) −3.26420 2.63609i −0.769380 0.621331i
\(19\) −1.56663 + 0.248130i −0.359410 + 0.0569250i −0.333528 0.942740i \(-0.608239\pi\)
−0.0258817 + 0.999665i \(0.508239\pi\)
\(20\) 1.57125 + 4.18702i 0.351342 + 0.936247i
\(21\) −0.151046 0.0239234i −0.0329610 0.00522051i
\(22\) 2.63202 2.37625i 0.561148 0.506619i
\(23\) −3.63886 + 1.18234i −0.758755 + 0.246535i −0.662744 0.748846i \(-0.730608\pi\)
−0.0960110 + 0.995380i \(0.530608\pi\)
\(24\) 0.489394 0.161185i 0.0998972 0.0329018i
\(25\) 2.85591 + 4.10412i 0.571182 + 0.820824i
\(26\) 0.0186447 + 0.175141i 0.00365653 + 0.0343480i
\(27\) −0.493476 + 0.968502i −0.0949696 + 0.186388i
\(28\) −1.12011 + 1.25072i −0.211681 + 0.236363i
\(29\) −0.00352316 + 0.0222443i −0.000654234 + 0.00413067i −0.988013 0.154369i \(-0.950666\pi\)
0.987359 + 0.158499i \(0.0506656\pi\)
\(30\) 0.485893 0.309463i 0.0887115 0.0565000i
\(31\) 4.71499 + 3.42564i 0.846837 + 0.615263i 0.924272 0.381734i \(-0.124673\pi\)
−0.0774350 + 0.996997i \(0.524673\pi\)
\(32\) 1.42757 5.47376i 0.252361 0.967633i
\(33\) −0.369537 0.268484i −0.0643282 0.0467371i
\(34\) 0.827700 + 1.27083i 0.141949 + 0.217945i
\(35\) −0.869200 + 1.66378i −0.146922 + 0.281230i
\(36\) 2.98053 + 5.13073i 0.496756 + 0.855121i
\(37\) 3.85359 1.96350i 0.633526 0.322797i −0.107569 0.994198i \(-0.534307\pi\)
0.741095 + 0.671400i \(0.234307\pi\)
\(38\) 2.19477 + 0.463449i 0.356039 + 0.0751814i
\(39\) 0.0215776 0.00701100i 0.00345519 0.00112266i
\(40\) 0.0390771 6.32443i 0.00617863 0.999981i
\(41\) 3.07859 + 1.00029i 0.480794 + 0.156220i 0.539379 0.842063i \(-0.318659\pi\)
−0.0585850 + 0.998282i \(0.518659\pi\)
\(42\) 0.187443 + 0.107887i 0.0289232 + 0.0166473i
\(43\) 2.41770 + 2.41770i 0.368696 + 0.368696i 0.867002 0.498305i \(-0.166044\pi\)
−0.498305 + 0.867002i \(0.666044\pi\)
\(44\) −4.67690 + 1.80965i −0.705069 + 0.272814i
\(45\) 4.64292 + 4.73849i 0.692125 + 0.706372i
\(46\) 5.40392 + 0.275968i 0.796764 + 0.0406893i
\(47\) 6.85681 4.98176i 1.00017 0.726665i 0.0380441 0.999276i \(-0.487887\pi\)
0.962124 + 0.272611i \(0.0878873\pi\)
\(48\) −0.727875 0.0342467i −0.105060 0.00494308i
\(49\) 6.29526 0.899324
\(50\) −1.69977 6.86373i −0.240384 0.970678i
\(51\) 0.138140 0.138140i 0.0193434 0.0193434i
\(52\) 0.0638252 0.240771i 0.00885096 0.0333889i
\(53\) −5.13242 0.812896i −0.704992 0.111660i −0.206364 0.978475i \(-0.566163\pi\)
−0.498629 + 0.866816i \(0.666163\pi\)
\(54\) 1.14100 1.03012i 0.155270 0.140182i
\(55\) −4.56926 + 3.24917i −0.616119 + 0.438117i
\(56\) 2.11129 1.08644i 0.282133 0.145181i
\(57\) 0.288951i 0.0382725i
\(58\) 0.0158883 0.0276045i 0.00208624 0.00362465i
\(59\) −3.69685 + 1.88364i −0.481288 + 0.245229i −0.677763 0.735280i \(-0.737051\pi\)
0.196475 + 0.980509i \(0.437051\pi\)
\(60\) −0.798137 + 0.163390i −0.103039 + 0.0210936i
\(61\) 2.92187 + 1.48876i 0.374107 + 0.190617i 0.630927 0.775842i \(-0.282675\pi\)
−0.256820 + 0.966459i \(0.582675\pi\)
\(62\) −4.49820 6.90641i −0.571272 0.877114i
\(63\) −0.769637 + 2.36870i −0.0969651 + 0.298428i
\(64\) −4.65025 + 6.50962i −0.581281 + 0.813703i
\(65\) 0.00283688 0.278473i 0.000351872 0.0345403i
\(66\) 0.352546 + 0.541289i 0.0433955 + 0.0666281i
\(67\) 5.76710 0.913419i 0.704563 0.111592i 0.206136 0.978523i \(-0.433911\pi\)
0.498427 + 0.866932i \(0.333911\pi\)
\(68\) −0.451533 2.09673i −0.0547565 0.254266i
\(69\) −0.109036 0.688425i −0.0131264 0.0828766i
\(70\) 1.98846 1.75880i 0.237666 0.210217i
\(71\) −9.05193 12.4589i −1.07427 1.47860i −0.865681 0.500597i \(-0.833114\pi\)
−0.208586 0.978004i \(-0.566886\pi\)
\(72\) −1.34592 8.28278i −0.158618 0.976135i
\(73\) −12.0099 + 3.90226i −1.40565 + 0.456725i −0.911015 0.412374i \(-0.864700\pi\)
−0.494639 + 0.869098i \(0.664700\pi\)
\(74\) −6.08208 + 0.647470i −0.707027 + 0.0752668i
\(75\) −0.819830 + 0.396898i −0.0946658 + 0.0458298i
\(76\) −2.66514 1.72065i −0.305713 0.197373i
\(77\) −1.87550 0.955615i −0.213733 0.108902i
\(78\) −0.0320440 0.00163643i −0.00362827 0.000185289i
\(79\) 0.394590 0.286686i 0.0443948 0.0322547i −0.565367 0.824840i \(-0.691265\pi\)
0.609761 + 0.792585i \(0.291265\pi\)
\(80\) −3.24574 + 8.33458i −0.362885 + 0.931834i
\(81\) 7.04041 + 5.11516i 0.782268 + 0.568351i
\(82\) −3.56149 2.87617i −0.393301 0.317620i
\(83\) −13.4491 + 2.13013i −1.47623 + 0.233812i −0.842061 0.539382i \(-0.818658\pi\)
−0.634169 + 0.773194i \(0.718658\pi\)
\(84\) −0.193117 0.237181i −0.0210708 0.0258786i
\(85\) −1.06683 2.14758i −0.115714 0.232937i
\(86\) −1.97264 4.41473i −0.212715 0.476053i
\(87\) −0.00390196 0.00126782i −0.000418334 0.000135925i
\(88\) 7.09194 0.0284265i 0.756003 0.00303028i
\(89\) 7.89287 2.56455i 0.836642 0.271842i 0.140802 0.990038i \(-0.455032\pi\)
0.695841 + 0.718196i \(0.255032\pi\)
\(90\) −3.73995 8.60422i −0.394225 0.906965i
\(91\) 0.0931568 0.0474657i 0.00976548 0.00497576i
\(92\) −6.99897 3.09376i −0.729694 0.322547i
\(93\) −0.750733 + 0.750733i −0.0778473 + 0.0778473i
\(94\) −11.5736 + 3.11771i −1.19372 + 0.321567i
\(95\) −3.36183 1.13031i −0.344917 0.115968i
\(96\) 0.944197 + 0.412848i 0.0963667 + 0.0421361i
\(97\) 6.73788 4.89536i 0.684128 0.497048i −0.190596 0.981668i \(-0.561042\pi\)
0.874725 + 0.484620i \(0.161042\pi\)
\(98\) −8.31578 3.17939i −0.840021 0.321167i
\(99\) −5.26016 + 5.26016i −0.528666 + 0.528666i
\(100\) −1.22116 + 9.92516i −0.122116 + 0.992516i
\(101\) −12.4198 12.4198i −1.23582 1.23582i −0.961694 0.274123i \(-0.911612\pi\)
−0.274123 0.961694i \(-0.588388\pi\)
\(102\) −0.252244 + 0.112710i −0.0249758 + 0.0111600i
\(103\) −5.28320 7.27170i −0.520569 0.716502i 0.465087 0.885265i \(-0.346023\pi\)
−0.985657 + 0.168763i \(0.946023\pi\)
\(104\) −0.205910 + 0.285813i −0.0201912 + 0.0280263i
\(105\) −0.274589 0.203807i −0.0267972 0.0198895i
\(106\) 6.36917 + 3.66590i 0.618628 + 0.356064i
\(107\) −0.601297 0.601297i −0.0581295 0.0581295i 0.677444 0.735574i \(-0.263087\pi\)
−0.735574 + 0.677444i \(0.763087\pi\)
\(108\) −2.02747 + 0.784495i −0.195093 + 0.0754880i
\(109\) −2.20375 4.32510i −0.211081 0.414270i 0.761055 0.648687i \(-0.224682\pi\)
−0.972136 + 0.234418i \(0.924682\pi\)
\(110\) 7.67677 1.98433i 0.731952 0.189199i
\(111\) 0.243469 + 0.749321i 0.0231091 + 0.0711224i
\(112\) −3.33762 + 0.368843i −0.315376 + 0.0348524i
\(113\) 3.75903 11.5691i 0.353620 1.08833i −0.603185 0.797601i \(-0.706102\pi\)
0.956805 0.290729i \(-0.0938979\pi\)
\(114\) −0.145933 + 0.381692i −0.0136679 + 0.0357488i
\(115\) −8.43608 1.42438i −0.786668 0.132824i
\(116\) −0.0349293 + 0.0284401i −0.00324310 + 0.00264059i
\(117\) −0.0578020 0.364948i −0.00534380 0.0337394i
\(118\) 5.83470 0.621134i 0.537127 0.0571800i
\(119\) 0.529162 0.728329i 0.0485082 0.0667658i
\(120\) 1.13682 + 0.187263i 0.103777 + 0.0170947i
\(121\) 2.77021 + 3.81286i 0.251837 + 0.346624i
\(122\) −3.10777 3.44227i −0.281364 0.311648i
\(123\) −0.267713 + 0.525416i −0.0241388 + 0.0473751i
\(124\) 2.45390 + 11.3949i 0.220366 + 1.02329i
\(125\) 1.41075 + 11.0910i 0.126182 + 0.992007i
\(126\) 2.21296 2.74025i 0.197146 0.244121i
\(127\) 0.134517 + 0.414002i 0.0119365 + 0.0367367i 0.956847 0.290591i \(-0.0938519\pi\)
−0.944911 + 0.327328i \(0.893852\pi\)
\(128\) 9.43043 6.25036i 0.833540 0.552459i
\(129\) −0.503910 + 0.366112i −0.0443668 + 0.0322343i
\(130\) −0.144389 + 0.366418i −0.0126637 + 0.0321370i
\(131\) 2.75324 0.436070i 0.240551 0.0380996i −0.0349946 0.999388i \(-0.511141\pi\)
0.275546 + 0.961288i \(0.411141\pi\)
\(132\) −0.192324 0.893072i −0.0167397 0.0777319i
\(133\) −0.208302 1.31516i −0.0180620 0.114039i
\(134\) −8.07941 1.70605i −0.697955 0.147380i
\(135\) −1.98081 + 1.40854i −0.170481 + 0.121228i
\(136\) −0.462486 + 2.99774i −0.0396578 + 0.257054i
\(137\) 12.2317 + 3.97431i 1.04502 + 0.339548i 0.780713 0.624890i \(-0.214856\pi\)
0.264309 + 0.964438i \(0.414856\pi\)
\(138\) −0.203653 + 0.964448i −0.0173361 + 0.0820993i
\(139\) 1.37682 2.70217i 0.116781 0.229195i −0.825216 0.564817i \(-0.808947\pi\)
0.941997 + 0.335622i \(0.108947\pi\)
\(140\) −3.51494 + 1.31904i −0.297067 + 0.111479i
\(141\) 0.700952 + 1.37570i 0.0590308 + 0.115854i
\(142\) 5.66492 + 21.0293i 0.475389 + 1.76474i
\(143\) 0.312280 0.0261141
\(144\) −2.40527 + 11.6209i −0.200439 + 0.968412i
\(145\) −0.0300143 + 0.0404383i −0.00249255 + 0.00335822i
\(146\) 17.8354 + 0.910821i 1.47607 + 0.0753800i
\(147\) −0.179400 + 1.13269i −0.0147967 + 0.0934227i
\(148\) 8.36117 + 2.21644i 0.687284 + 0.182190i
\(149\) −12.1528 12.1528i −0.995594 0.995594i 0.00439656 0.999990i \(-0.498601\pi\)
−0.999990 + 0.00439656i \(0.998601\pi\)
\(150\) 1.28341 0.110235i 0.104790 0.00900066i
\(151\) 16.3690i 1.33209i −0.745912 0.666044i \(-0.767986\pi\)
0.745912 0.666044i \(-0.232014\pi\)
\(152\) 2.65153 + 3.61893i 0.215068 + 0.293534i
\(153\) −1.87010 2.57398i −0.151189 0.208094i
\(154\) 1.99483 + 2.20954i 0.160748 + 0.178050i
\(155\) 5.79777 + 11.6712i 0.465688 + 0.937452i
\(156\) 0.0415023 + 0.0183453i 0.00332285 + 0.00146880i
\(157\) −9.07680 + 9.07680i −0.724407 + 0.724407i −0.969500 0.245092i \(-0.921182\pi\)
0.245092 + 0.969500i \(0.421182\pi\)
\(158\) −0.666026 + 0.179415i −0.0529862 + 0.0142735i
\(159\) 0.292524 0.900297i 0.0231987 0.0713982i
\(160\) 8.49682 9.37038i 0.671732 0.740794i
\(161\) −0.992555 3.05477i −0.0782243 0.240750i
\(162\) −6.71671 10.3126i −0.527714 0.810237i
\(163\) 1.97076 + 3.86784i 0.154362 + 0.302953i 0.955217 0.295905i \(-0.0956213\pi\)
−0.800855 + 0.598858i \(0.795621\pi\)
\(164\) 3.25199 + 5.59801i 0.253938 + 0.437131i
\(165\) −0.454400 0.914729i −0.0353750 0.0712115i
\(166\) 18.8415 + 3.97858i 1.46238 + 0.308798i
\(167\) 10.8751 14.9682i 0.841537 1.15828i −0.144127 0.989559i \(-0.546037\pi\)
0.985664 0.168717i \(-0.0539625\pi\)
\(168\) 0.135313 + 0.410839i 0.0104396 + 0.0316969i
\(169\) 7.63209 10.5047i 0.587084 0.808052i
\(170\) 0.324615 + 3.37565i 0.0248969 + 0.258901i
\(171\) −4.64791 0.736156i −0.355434 0.0562953i
\(172\) 0.376135 + 6.82794i 0.0286801 + 0.520626i
\(173\) −13.5996 6.92936i −1.03396 0.526830i −0.147224 0.989103i \(-0.547034\pi\)
−0.886737 + 0.462274i \(0.847034\pi\)
\(174\) 0.00451402 + 0.00364541i 0.000342207 + 0.000276358i
\(175\) −3.44535 + 2.39749i −0.260444 + 0.181233i
\(176\) −9.38251 3.54419i −0.707233 0.267153i
\(177\) −0.233566 0.718843i −0.0175559 0.0540315i
\(178\) −11.7214 0.598588i −0.878553 0.0448660i
\(179\) −3.54954 + 22.4109i −0.265305 + 1.67507i 0.390858 + 0.920451i \(0.372178\pi\)
−0.656163 + 0.754619i \(0.727822\pi\)
\(180\) 0.594805 + 13.2547i 0.0443342 + 0.987944i
\(181\) −0.571731 3.60976i −0.0424964 0.268312i 0.957287 0.289141i \(-0.0933695\pi\)
−0.999783 + 0.0208288i \(0.993369\pi\)
\(182\) −0.147028 + 0.0156520i −0.0108985 + 0.00116020i
\(183\) −0.351136 + 0.483297i −0.0259567 + 0.0357263i
\(184\) 7.68287 + 7.62152i 0.566388 + 0.561866i
\(185\) 9.67045 + 0.0985157i 0.710986 + 0.00724301i
\(186\) 1.37084 0.612533i 0.100515 0.0449131i
\(187\) 2.39586 1.22075i 0.175202 0.0892701i
\(188\) 16.8628 + 1.72680i 1.22984 + 0.125940i
\(189\) −0.813043 0.414266i −0.0591402 0.0301334i
\(190\) 3.86998 + 3.19097i 0.280758 + 0.231498i
\(191\) 3.54028 10.8959i 0.256166 0.788397i −0.737432 0.675422i \(-0.763962\pi\)
0.993598 0.112976i \(-0.0360383\pi\)
\(192\) −1.03874 1.02222i −0.0749644 0.0737721i
\(193\) 15.4728 1.11376 0.556878 0.830594i \(-0.311999\pi\)
0.556878 + 0.830594i \(0.311999\pi\)
\(194\) −11.3728 + 3.06363i −0.816522 + 0.219956i
\(195\) 0.0500240 + 0.00844627i 0.00358230 + 0.000604850i
\(196\) 9.37907 + 8.39968i 0.669933 + 0.599977i
\(197\) 1.49744 + 0.237172i 0.106689 + 0.0168978i 0.209550 0.977798i \(-0.432800\pi\)
−0.102862 + 0.994696i \(0.532800\pi\)
\(198\) 9.60506 4.29183i 0.682602 0.305007i
\(199\) 13.9903i 0.991747i −0.868395 0.495874i \(-0.834848\pi\)
0.868395 0.495874i \(-0.165152\pi\)
\(200\) 6.62574 12.4940i 0.468511 0.883458i
\(201\) 1.06369i 0.0750268i
\(202\) 10.1335 + 22.6786i 0.712991 + 1.59566i
\(203\) −0.0186738 0.00295764i −0.00131064 0.000207585i
\(204\) 0.390127 0.0214912i 0.0273143 0.00150468i
\(205\) 5.06577 + 5.17005i 0.353809 + 0.361092i
\(206\) 3.30635 + 12.2739i 0.230365 + 0.855161i
\(207\) −11.3514 −0.788977
\(208\) 0.416347 0.273554i 0.0288685 0.0189675i
\(209\) 1.22900 3.78248i 0.0850119 0.261640i
\(210\) 0.259790 + 0.407900i 0.0179272 + 0.0281478i
\(211\) −12.1034 6.16701i −0.833235 0.424555i −0.0153126 0.999883i \(-0.504874\pi\)
−0.817923 + 0.575328i \(0.804874\pi\)
\(212\) −6.56196 8.05921i −0.450677 0.553509i
\(213\) 2.49966 1.27364i 0.171274 0.0872683i
\(214\) 0.490606 + 1.09797i 0.0335371 + 0.0750556i
\(215\) 2.28838 + 7.29494i 0.156066 + 0.497511i
\(216\) 3.07441 0.0123231i 0.209187 0.000838481i
\(217\) −2.87577 + 3.95816i −0.195220 + 0.268698i
\(218\) 0.726693 + 6.82627i 0.0492178 + 0.462333i
\(219\) −0.359868 2.27212i −0.0243176 0.153535i
\(220\) −11.1429 1.25589i −0.751252 0.0846723i
\(221\) −0.0208934 + 0.131916i −0.00140544 + 0.00887362i
\(222\) 0.0568278 1.11278i 0.00381403 0.0746852i
\(223\) 6.76970 + 20.8350i 0.453332 + 1.39521i 0.873082 + 0.487574i \(0.162118\pi\)
−0.419749 + 0.907640i \(0.637882\pi\)
\(224\) 4.59514 + 1.19842i 0.307026 + 0.0800729i
\(225\) 4.29561 + 14.1985i 0.286374 + 0.946567i
\(226\) −10.8084 + 13.3838i −0.718967 + 0.890279i
\(227\) 26.2794 + 13.3900i 1.74423 + 0.888728i 0.965108 + 0.261851i \(0.0843329\pi\)
0.779118 + 0.626877i \(0.215667\pi\)
\(228\) 0.385543 0.430497i 0.0255332 0.0285103i
\(229\) −13.0668 2.06958i −0.863481 0.136762i −0.291043 0.956710i \(-0.594002\pi\)
−0.572438 + 0.819948i \(0.694002\pi\)
\(230\) 10.4243 + 6.14214i 0.687360 + 0.405001i
\(231\) 0.225389 0.310221i 0.0148295 0.0204110i
\(232\) 0.0605036 0.0199273i 0.00397226 0.00130829i
\(233\) −6.94431 + 9.55803i −0.454937 + 0.626167i −0.973449 0.228903i \(-0.926486\pi\)
0.518512 + 0.855070i \(0.326486\pi\)
\(234\) −0.107961 + 0.511273i −0.00705761 + 0.0334230i
\(235\) 18.7477 2.77387i 1.22296 0.180948i
\(236\) −8.02109 2.12629i −0.522129 0.138410i
\(237\) 0.0403378 + 0.0791674i 0.00262022 + 0.00514248i
\(238\) −1.06684 + 0.694842i −0.0691529 + 0.0450399i
\(239\) −6.12262 18.8435i −0.396039 1.21888i −0.928149 0.372208i \(-0.878601\pi\)
0.532110 0.846675i \(-0.321399\pi\)
\(240\) −1.40712 0.821513i −0.0908293 0.0530285i
\(241\) −0.578108 + 1.77923i −0.0372392 + 0.114610i −0.967948 0.251150i \(-0.919191\pi\)
0.930709 + 0.365761i \(0.119191\pi\)
\(242\) −1.73366 6.43571i −0.111444 0.413703i
\(243\) −3.42681 + 3.42681i −0.219830 + 0.219830i
\(244\) 2.36674 + 6.11665i 0.151515 + 0.391579i
\(245\) 12.4766 + 6.51810i 0.797102 + 0.416426i
\(246\) 0.618996 0.558845i 0.0394657 0.0356307i
\(247\) 0.116114 + 0.159818i 0.00738819 + 0.0101690i
\(248\) 2.51342 16.2915i 0.159602 1.03451i
\(249\) 2.48056i 0.157199i
\(250\) 3.73789 15.3632i 0.236405 0.971655i
\(251\) −6.85896 6.85896i −0.432934 0.432934i 0.456691 0.889625i \(-0.349034\pi\)
−0.889625 + 0.456691i \(0.849034\pi\)
\(252\) −4.30717 + 2.50211i −0.271326 + 0.157618i
\(253\) 1.50077 9.47551i 0.0943528 0.595720i
\(254\) 0.0313975 0.614816i 0.00197005 0.0385770i
\(255\) 0.416810 0.130751i 0.0261016 0.00818793i
\(256\) −15.6139 + 3.49368i −0.975869 + 0.218355i
\(257\) −19.6952 −1.22855 −0.614277 0.789091i \(-0.710552\pi\)
−0.614277 + 0.789091i \(0.710552\pi\)
\(258\) 0.850546 0.229122i 0.0529527 0.0142645i
\(259\) 1.64833 + 3.23503i 0.102422 + 0.201015i
\(260\) 0.375789 0.411101i 0.0233054 0.0254954i
\(261\) −0.0303345 + 0.0595348i −0.00187766 + 0.00368511i
\(262\) −3.85714 0.814476i −0.238295 0.0503185i
\(263\) 18.6964 + 6.07482i 1.15287 + 0.374589i 0.822223 0.569166i \(-0.192734\pi\)
0.330645 + 0.943755i \(0.392734\pi\)
\(264\) −0.196989 + 1.27684i −0.0121238 + 0.0785843i
\(265\) −9.33031 6.92518i −0.573157 0.425410i
\(266\) −0.389059 + 1.84248i −0.0238547 + 0.112970i
\(267\) 0.236504 + 1.49323i 0.0144738 + 0.0913840i
\(268\) 9.81093 + 6.33408i 0.599298 + 0.386916i
\(269\) 17.4062 2.75687i 1.06128 0.168090i 0.398697 0.917082i \(-0.369462\pi\)
0.662578 + 0.748993i \(0.269462\pi\)
\(270\) 3.32794 0.860222i 0.202532 0.0523515i
\(271\) 18.1595 13.1937i 1.10311 0.801459i 0.121548 0.992586i \(-0.461214\pi\)
0.981565 + 0.191127i \(0.0612142\pi\)
\(272\) 2.12492 3.72631i 0.128842 0.225941i
\(273\) 0.00588563 + 0.0181141i 0.000356215 + 0.00109632i
\(274\) −14.1503 11.4274i −0.854852 0.690357i
\(275\) −12.4200 + 1.70855i −0.748956 + 0.103029i
\(276\) 0.756107 1.17114i 0.0455123 0.0704944i
\(277\) −10.6383 + 20.8788i −0.639194 + 1.25449i 0.313220 + 0.949681i \(0.398592\pi\)
−0.952414 + 0.304808i \(0.901408\pi\)
\(278\) −3.18344 + 2.87410i −0.190930 + 0.172377i
\(279\) 10.1632 + 13.9885i 0.608457 + 0.837469i
\(280\) 5.30927 + 0.0328046i 0.317290 + 0.00196045i
\(281\) −13.6481 + 18.7851i −0.814180 + 1.12062i 0.176485 + 0.984303i \(0.443527\pi\)
−0.990665 + 0.136319i \(0.956473\pi\)
\(282\) −0.231141 2.17125i −0.0137642 0.129296i
\(283\) −2.04139 12.8888i −0.121348 0.766162i −0.971046 0.238892i \(-0.923216\pi\)
0.849698 0.527270i \(-0.176784\pi\)
\(284\) 3.13763 30.6399i 0.186184 1.81814i
\(285\) 0.299179 0.572674i 0.0177218 0.0339223i
\(286\) −0.412508 0.157715i −0.0243921 0.00932589i
\(287\) −0.839732 + 2.58443i −0.0495678 + 0.152554i
\(288\) 9.04635 14.1360i 0.533062 0.832973i
\(289\) −4.89791 15.0742i −0.288112 0.886718i
\(290\) 0.0600708 0.0382588i 0.00352748 0.00224663i
\(291\) 0.688794 + 1.35184i 0.0403778 + 0.0792460i
\(292\) −23.0998 10.2108i −1.35181 0.597543i
\(293\) −3.90760 3.90760i −0.228284 0.228284i 0.583691 0.811976i \(-0.301608\pi\)
−0.811976 + 0.583691i \(0.801608\pi\)
\(294\) 0.809039 1.40563i 0.0471841 0.0819781i
\(295\) −9.27711 0.0945086i −0.540134 0.00550250i
\(296\) −9.92536 7.15059i −0.576900 0.415620i
\(297\) −1.60200 2.20496i −0.0929573 0.127945i
\(298\) 9.91561 + 22.1910i 0.574396 + 1.28549i
\(299\) 0.336950 + 0.336950i 0.0194863 + 0.0194863i
\(300\) −1.75101 0.502564i −0.101094 0.0290155i
\(301\) −2.02963 + 2.02963i −0.116986 + 0.116986i
\(302\) −8.26706 + 21.6227i −0.475716 + 1.24425i
\(303\) 2.58860 1.88073i 0.148711 0.108045i
\(304\) −1.67484 6.11959i −0.0960589 0.350983i
\(305\) 4.24940 + 5.97588i 0.243320 + 0.342178i
\(306\) 1.17036 + 4.34460i 0.0669048 + 0.248364i
\(307\) 2.56545 2.56545i 0.146418 0.146418i −0.630098 0.776516i \(-0.716985\pi\)
0.776516 + 0.630098i \(0.216985\pi\)
\(308\) −1.51917 3.92618i −0.0865628 0.223715i
\(309\) 1.45894 0.743365i 0.0829960 0.0422886i
\(310\) −1.76415 18.3453i −0.100197 1.04194i
\(311\) −6.54533 + 2.12671i −0.371152 + 0.120595i −0.488653 0.872478i \(-0.662512\pi\)
0.117501 + 0.993073i \(0.462512\pi\)
\(312\) −0.0455577 0.0451939i −0.00257919 0.00255860i
\(313\) −32.1357 10.4415i −1.81642 0.590190i −0.999917 0.0128468i \(-0.995911\pi\)
−0.816501 0.577343i \(-0.804089\pi\)
\(314\) 16.5743 7.40588i 0.935339 0.417938i
\(315\) −3.97789 + 3.89766i −0.224129 + 0.219608i
\(316\) 0.970405 + 0.0993727i 0.0545896 + 0.00559015i
\(317\) −19.2053 + 3.04183i −1.07868 + 0.170846i −0.670392 0.742007i \(-0.733874\pi\)
−0.408288 + 0.912853i \(0.633874\pi\)
\(318\) −0.841102 + 1.04152i −0.0471667 + 0.0584054i
\(319\) −0.0456857 0.0331926i −0.00255791 0.00185843i
\(320\) −15.9564 + 8.08662i −0.891990 + 0.452056i
\(321\) 0.125325 0.0910541i 0.00699497 0.00508215i
\(322\) −0.231671 + 4.53651i −0.0129105 + 0.252810i
\(323\) 1.51560 + 0.772237i 0.0843303 + 0.0429684i
\(324\) 3.66415 + 17.0148i 0.203564 + 0.945266i
\(325\) 0.293952 0.548970i 0.0163055 0.0304514i
\(326\) −0.649865 6.10458i −0.0359927 0.338102i
\(327\) 0.841006 0.273259i 0.0465077 0.0151113i
\(328\) −1.46850 9.03713i −0.0810842 0.498992i
\(329\) 4.18212 + 5.75619i 0.230568 + 0.317349i
\(330\) 0.138265 + 1.43781i 0.00761125 + 0.0791489i
\(331\) −3.67595 23.2091i −0.202049 1.27569i −0.855136 0.518403i \(-0.826527\pi\)
0.653088 0.757282i \(-0.273473\pi\)
\(332\) −22.8795 14.7713i −1.25567 0.810682i
\(333\) 12.6734 2.00728i 0.694500 0.109998i
\(334\) −21.9251 + 14.2800i −1.19969 + 0.781368i
\(335\) 12.3756 + 4.16092i 0.676151 + 0.227335i
\(336\) 0.0287496 0.611041i 0.00156842 0.0333350i
\(337\) 1.06664 3.28277i 0.0581035 0.178824i −0.917792 0.397060i \(-0.870030\pi\)
0.975896 + 0.218236i \(0.0700304\pi\)
\(338\) −15.3870 + 10.0217i −0.836942 + 0.545108i
\(339\) 1.97448 + 1.00605i 0.107239 + 0.0546409i
\(340\) 1.27605 4.62304i 0.0692036 0.250720i
\(341\) −13.0205 + 6.63427i −0.705099 + 0.359266i
\(342\) 5.76790 + 3.31983i 0.311892 + 0.179516i
\(343\) 11.1612i 0.602647i
\(344\) 2.95155 9.20939i 0.159137 0.496537i
\(345\) 0.496694 1.47729i 0.0267411 0.0795346i
\(346\) 14.4649 + 16.0218i 0.777639 + 0.861338i
\(347\) 26.7242 + 4.23269i 1.43463 + 0.227223i 0.824851 0.565350i \(-0.191259\pi\)
0.609777 + 0.792573i \(0.291259\pi\)
\(348\) −0.00412174 0.00709521i −0.000220948 0.000380343i
\(349\) 23.7050 23.7050i 1.26890 1.26890i 0.322240 0.946658i \(-0.395564\pi\)
0.946658 0.322240i \(-0.104436\pi\)
\(350\) 5.76200 1.42693i 0.307992 0.0762728i
\(351\) 0.135376 0.00722581
\(352\) 10.6039 + 9.42031i 0.565191 + 0.502104i
\(353\) −18.3747 + 13.3500i −0.977988 + 0.710550i −0.957258 0.289235i \(-0.906599\pi\)
−0.0207298 + 0.999785i \(0.506599\pi\)
\(354\) −0.0545164 + 1.06752i −0.00289751 + 0.0567382i
\(355\) −5.04016 34.0647i −0.267504 1.80797i
\(356\) 15.1811 + 6.71052i 0.804597 + 0.355657i
\(357\) 0.115966 + 0.115966i 0.00613759 + 0.00613759i
\(358\) 16.0073 27.8112i 0.846012 1.46987i
\(359\) 4.30314 + 1.39817i 0.227111 + 0.0737928i 0.420362 0.907357i \(-0.361903\pi\)
−0.193251 + 0.981149i \(0.561903\pi\)
\(360\) 5.90848 17.8092i 0.311404 0.938630i
\(361\) −15.6773 + 5.09387i −0.825121 + 0.268098i
\(362\) −1.06786 + 5.05710i −0.0561254 + 0.265795i
\(363\) −0.764982 + 0.389778i −0.0401512 + 0.0204580i
\(364\) 0.202123 + 0.0535803i 0.0105941 + 0.00280837i
\(365\) −27.8429 4.70111i −1.45736 0.246068i
\(366\) 0.707922 0.461076i 0.0370037 0.0241008i
\(367\) −3.37507 2.45213i −0.176177 0.128000i 0.496202 0.868207i \(-0.334728\pi\)
−0.672379 + 0.740207i \(0.734728\pi\)
\(368\) −6.29954 13.9479i −0.328386 0.727084i
\(369\) 7.76950 + 5.64487i 0.404464 + 0.293860i
\(370\) −12.7245 5.01414i −0.661515 0.260673i
\(371\) 0.682414 4.30859i 0.0354292 0.223691i
\(372\) −2.12018 + 0.116796i −0.109926 + 0.00605557i
\(373\) 2.82509 5.54455i 0.146278 0.287086i −0.806229 0.591603i \(-0.798495\pi\)
0.952507 + 0.304517i \(0.0984952\pi\)
\(374\) −3.78136 + 0.402546i −0.195529 + 0.0208151i
\(375\) −2.03577 0.0622342i −0.105127 0.00321376i
\(376\) −21.4029 10.7975i −1.10377 0.556838i
\(377\) 0.00266763 0.000866767i 0.000137390 4.46408e-5i
\(378\) 0.864773 + 0.957851i 0.0444791 + 0.0492665i
\(379\) −1.11702 0.176918i −0.0573773 0.00908768i 0.127680 0.991815i \(-0.459247\pi\)
−0.185057 + 0.982728i \(0.559247\pi\)
\(380\) −3.50050 6.16965i −0.179572 0.316497i
\(381\) −0.0783237 + 0.0124053i −0.00401264 + 0.000635540i
\(382\) −10.1795 + 12.6050i −0.520827 + 0.644927i
\(383\) 3.73105 + 2.71076i 0.190648 + 0.138514i 0.679015 0.734125i \(-0.262407\pi\)
−0.488367 + 0.872638i \(0.662407\pi\)
\(384\) 0.855865 + 1.87491i 0.0436757 + 0.0956787i
\(385\) −2.72763 3.83583i −0.139013 0.195492i
\(386\) −20.4389 7.81445i −1.04031 0.397745i
\(387\) 4.60527 + 9.03835i 0.234099 + 0.459445i
\(388\) 16.5703 + 1.69685i 0.841230 + 0.0861447i
\(389\) −14.5700 + 28.5952i −0.738728 + 1.44983i 0.148697 + 0.988883i \(0.452492\pi\)
−0.887425 + 0.460952i \(0.847508\pi\)
\(390\) −0.0618139 0.0364215i −0.00313007 0.00184428i
\(391\) 3.90232 + 1.26794i 0.197349 + 0.0641225i
\(392\) −8.14714 15.8325i −0.411493 0.799660i
\(393\) 0.507809i 0.0256156i
\(394\) −1.85828 1.06957i −0.0936187 0.0538842i
\(395\) 1.07887 0.159629i 0.0542841 0.00803179i
\(396\) −14.8554 + 0.818352i −0.746514 + 0.0411237i
\(397\) 0.0575218 0.363179i 0.00288694 0.0182274i −0.986203 0.165542i \(-0.947063\pi\)
0.989090 + 0.147314i \(0.0470628\pi\)
\(398\) −7.06573 + 18.4806i −0.354173 + 0.926350i
\(399\) 0.242570 0.0121437
\(400\) −15.0623 + 13.1577i −0.753117 + 0.657886i
\(401\) −25.4220 −1.26951 −0.634756 0.772712i \(-0.718900\pi\)
−0.634756 + 0.772712i \(0.718900\pi\)
\(402\) 0.537210 1.40509i 0.0267936 0.0700794i
\(403\) 0.113547 0.716908i 0.00565618 0.0357117i
\(404\) −1.93222 35.0754i −0.0961316 1.74506i
\(405\) 8.65722 + 17.4274i 0.430181 + 0.865974i
\(406\) 0.0231736 + 0.0133380i 0.00115008 + 0.000661954i
\(407\) 10.8444i 0.537539i
\(408\) −0.526195 0.168642i −0.0260506 0.00834905i
\(409\) 0.250511 + 0.0813958i 0.0123870 + 0.00402476i 0.315204 0.949024i \(-0.397927\pi\)
−0.302817 + 0.953049i \(0.597927\pi\)
\(410\) −4.08057 9.38785i −0.201525 0.463633i
\(411\) −1.06366 + 2.08755i −0.0524666 + 0.102971i
\(412\) 1.83129 17.8831i 0.0902212 0.881038i
\(413\) −1.58128 3.10345i −0.0778099 0.152711i
\(414\) 14.9947 + 5.73296i 0.736951 + 0.281760i
\(415\) −28.8604 9.70344i −1.41670 0.476323i
\(416\) −0.688134 + 0.151079i −0.0337385 + 0.00740726i
\(417\) 0.446958 + 0.324734i 0.0218876 + 0.0159023i
\(418\) −3.53378 + 4.37580i −0.172843 + 0.214027i
\(419\) 33.7478 5.34513i 1.64869 0.261127i 0.738176 0.674608i \(-0.235687\pi\)
0.910512 + 0.413482i \(0.135687\pi\)
\(420\) −0.137164 0.670024i −0.00669291 0.0326938i
\(421\) 4.82903 + 0.764844i 0.235353 + 0.0372762i 0.272997 0.962015i \(-0.411985\pi\)
−0.0376438 + 0.999291i \(0.511985\pi\)
\(422\) 12.8735 + 14.2591i 0.626673 + 0.694124i
\(423\) 23.9145 7.77029i 1.16276 0.377804i
\(424\) 4.59781 + 13.9600i 0.223289 + 0.677956i
\(425\) 0.109237 5.36089i 0.00529878 0.260041i
\(426\) −3.94519 + 0.419986i −0.191145 + 0.0203484i
\(427\) −1.24980 + 2.45286i −0.0604819 + 0.118702i
\(428\) −0.0935471 1.69815i −0.00452177 0.0820831i
\(429\) −0.00889925 + 0.0561876i −0.000429660 + 0.00271276i
\(430\) 0.661415 10.7920i 0.0318963 0.520439i
\(431\) 32.6825 + 23.7452i 1.57426 + 1.14377i 0.922927 + 0.384975i \(0.125790\pi\)
0.651333 + 0.758792i \(0.274210\pi\)
\(432\) −4.06738 1.53643i −0.195692 0.0739217i
\(433\) 18.3788 + 13.3530i 0.883229 + 0.641704i 0.934104 0.357001i \(-0.116201\pi\)
−0.0508746 + 0.998705i \(0.516201\pi\)
\(434\) 5.79783 3.77617i 0.278305 0.181262i
\(435\) −0.00642062 0.00655279i −0.000307845 0.000314182i
\(436\) 2.48764 9.38423i 0.119136 0.449423i
\(437\) 5.40739 2.75520i 0.258670 0.131799i
\(438\) −0.672149 + 3.18312i −0.0321165 + 0.152095i
\(439\) −31.4727 + 10.2261i −1.50211 + 0.488066i −0.940633 0.339425i \(-0.889767\pi\)
−0.561479 + 0.827491i \(0.689767\pi\)
\(440\) 14.0850 + 7.28663i 0.671475 + 0.347376i
\(441\) 17.7628 + 5.77147i 0.845846 + 0.274832i
\(442\) 0.0942227 0.163703i 0.00448172 0.00778657i
\(443\) 6.74369 + 6.74369i 0.320403 + 0.320403i 0.848921 0.528519i \(-0.177252\pi\)
−0.528519 + 0.848921i \(0.677252\pi\)
\(444\) −0.637072 + 1.44124i −0.0302341 + 0.0683982i
\(445\) 18.2983 + 3.08955i 0.867420 + 0.146459i
\(446\) 1.58011 30.9411i 0.0748202 1.46511i
\(447\) 2.53294 1.84029i 0.119804 0.0870427i
\(448\) −5.46473 3.90381i −0.258184 0.184438i
\(449\) 31.4116 1.48241 0.741203 0.671281i \(-0.234256\pi\)
0.741203 + 0.671281i \(0.234256\pi\)
\(450\) 1.49655 20.9251i 0.0705479 0.986418i
\(451\) −5.73923 + 5.73923i −0.270250 + 0.270250i
\(452\) 21.0369 12.2207i 0.989494 0.574815i
\(453\) 2.94523 + 0.466478i 0.138379 + 0.0219170i
\(454\) −27.9515 30.9599i −1.31183 1.45302i
\(455\) 0.233774 + 0.00238152i 0.0109595 + 0.000111647i
\(456\) −0.726706 + 0.373952i −0.0340311 + 0.0175119i
\(457\) 1.36964i 0.0640690i 0.999487 + 0.0320345i \(0.0101986\pi\)
−0.999487 + 0.0320345i \(0.989801\pi\)
\(458\) 16.2155 + 9.33317i 0.757701 + 0.436110i
\(459\) 1.03862 0.529204i 0.0484787 0.0247011i
\(460\) −10.6680 13.3783i −0.497400 0.623765i
\(461\) 2.87002 + 1.46235i 0.133670 + 0.0681083i 0.519546 0.854442i \(-0.326101\pi\)
−0.385877 + 0.922550i \(0.626101\pi\)
\(462\) −0.454404 + 0.295958i −0.0211408 + 0.0137692i
\(463\) −11.7529 + 36.1716i −0.546202 + 1.68104i 0.171912 + 0.985112i \(0.445006\pi\)
−0.718114 + 0.695925i \(0.754994\pi\)
\(464\) −0.0899869 0.00423390i −0.00417754 0.000196554i
\(465\) −2.26519 + 0.710576i −0.105046 + 0.0329522i
\(466\) 14.0004 9.11857i 0.648555 0.422409i
\(467\) 29.0231 4.59680i 1.34303 0.212715i 0.556797 0.830648i \(-0.312030\pi\)
0.786230 + 0.617934i \(0.212030\pi\)
\(468\) 0.400827 0.620846i 0.0185282 0.0286986i
\(469\) 0.766801 + 4.84139i 0.0354076 + 0.223555i
\(470\) −26.1658 5.80423i −1.20694 0.267729i
\(471\) −1.37450 1.89183i −0.0633334 0.0871710i
\(472\) 9.52165 + 6.85974i 0.438270 + 0.315745i
\(473\) −8.15356 + 2.64925i −0.374901 + 0.121813i
\(474\) −0.0133015 0.124949i −0.000610958 0.00573911i
\(475\) −5.49251 5.72101i −0.252014 0.262498i
\(476\) 1.76018 0.379056i 0.0806775 0.0173740i
\(477\) −13.7364 6.99906i −0.628948 0.320465i
\(478\) −1.42907 + 27.9836i −0.0653642 + 1.27994i
\(479\) 11.0192 8.00595i 0.503482 0.365801i −0.306863 0.951754i \(-0.599279\pi\)
0.810346 + 0.585952i \(0.199279\pi\)
\(480\) 1.44385 + 1.79584i 0.0659024 + 0.0819687i
\(481\) −0.435775 0.316609i −0.0198696 0.0144361i
\(482\) 1.66225 2.05832i 0.0757133 0.0937540i
\(483\) 0.577922 0.0915339i 0.0262964 0.00416494i
\(484\) −0.960223 + 9.37687i −0.0436465 + 0.426222i
\(485\) 18.4225 2.72576i 0.836522 0.123770i
\(486\) 6.25737 2.79599i 0.283840 0.126828i
\(487\) 20.5941 + 6.69142i 0.933206 + 0.303217i 0.735873 0.677119i \(-0.236772\pi\)
0.197333 + 0.980336i \(0.436772\pi\)
\(488\) −0.0371774 9.27515i −0.00168294 0.419866i
\(489\) −0.752093 + 0.244370i −0.0340108 + 0.0110508i
\(490\) −13.1892 14.9114i −0.595826 0.673628i
\(491\) −30.7810 + 15.6837i −1.38913 + 0.707796i −0.978929 0.204200i \(-0.934541\pi\)
−0.410199 + 0.911996i \(0.634541\pi\)
\(492\) −1.09991 + 0.425591i −0.0495877 + 0.0191871i
\(493\) 0.0170782 0.0170782i 0.000769162 0.000769162i
\(494\) −0.0726672 0.269756i −0.00326945 0.0121369i
\(495\) −15.8715 + 4.97879i −0.713370 + 0.223780i
\(496\) −11.5480 + 20.2510i −0.518522 + 0.909295i
\(497\) 10.4591 7.59896i 0.469153 0.340860i
\(498\) −1.25279 + 3.27672i −0.0561391 + 0.146833i
\(499\) −18.1524 + 18.1524i −0.812611 + 0.812611i −0.985025 0.172414i \(-0.944843\pi\)
0.172414 + 0.985025i \(0.444843\pi\)
\(500\) −12.6967 + 18.4064i −0.567814 + 0.823157i
\(501\) 2.38328 + 2.38328i 0.106477 + 0.106477i
\(502\) 5.59632 + 12.5245i 0.249776 + 0.558995i
\(503\) 18.5065 + 25.4720i 0.825162 + 1.13574i 0.988804 + 0.149219i \(0.0476759\pi\)
−0.163642 + 0.986520i \(0.552324\pi\)
\(504\) 6.95327 1.12988i 0.309723 0.0503287i
\(505\) −11.7555 37.4744i −0.523112 1.66759i
\(506\) −6.76801 + 11.7588i −0.300875 + 0.522742i
\(507\) 1.67258 + 1.67258i 0.0742819 + 0.0742819i
\(508\) −0.351984 + 0.796289i −0.0156168 + 0.0353296i
\(509\) −7.74323 15.1969i −0.343212 0.673592i 0.653294 0.757104i \(-0.273386\pi\)
−0.996507 + 0.0835116i \(0.973386\pi\)
\(510\) −0.616623 0.0377912i −0.0273045 0.00167342i
\(511\) −3.27589 10.0821i −0.144917 0.446008i
\(512\) 22.3898 + 3.27072i 0.989498 + 0.144547i
\(513\) 0.532782 1.63973i 0.0235229 0.0723960i
\(514\) 26.0166 + 9.94696i 1.14754 + 0.438742i
\(515\) −2.94172 19.8820i −0.129627 0.876107i
\(516\) −1.23925 0.126904i −0.0545550 0.00558662i
\(517\) 3.32445 + 20.9898i 0.146209 + 0.923129i
\(518\) −0.543541 5.10582i −0.0238818 0.224337i
\(519\) 1.63434 2.24948i 0.0717395 0.0987410i
\(520\) −0.704025 + 0.353257i −0.0308735 + 0.0154913i
\(521\) 15.1679 + 20.8768i 0.664518 + 0.914630i 0.999620 0.0275512i \(-0.00877093\pi\)
−0.335102 + 0.942182i \(0.608771\pi\)
\(522\) 0.0701383 0.0633227i 0.00306987 0.00277156i
\(523\) 1.06160 2.08351i 0.0464205 0.0911053i −0.866631 0.498949i \(-0.833719\pi\)
0.913052 + 0.407844i \(0.133719\pi\)
\(524\) 4.68378 + 3.02392i 0.204612 + 0.132100i
\(525\) −0.333190 0.688235i −0.0145416 0.0300370i
\(526\) −21.6291 17.4671i −0.943072 0.761601i
\(527\) −1.93136 5.94410i −0.0841312 0.258929i
\(528\) 0.905077 1.58717i 0.0393884 0.0690726i
\(529\) −6.76399 + 4.91433i −0.294086 + 0.213666i
\(530\) 8.82743 + 13.8601i 0.383439 + 0.602044i
\(531\) −12.1580 + 1.92563i −0.527610 + 0.0835653i
\(532\) 1.44446 2.23735i 0.0626255 0.0970012i
\(533\) −0.0630664 0.398186i −0.00273171 0.0172473i
\(534\) 0.441734 2.09193i 0.0191157 0.0905269i
\(535\) −0.569133 1.81429i −0.0246058 0.0784388i
\(536\) −9.76083 13.3220i −0.421604 0.575423i
\(537\) −3.93118 1.27732i −0.169643 0.0551203i
\(538\) −24.3852 5.14919i −1.05132 0.221998i
\(539\) −7.16612 + 14.0643i −0.308667 + 0.605792i
\(540\) −4.83052 0.544439i −0.207872 0.0234289i
\(541\) 1.25533 + 2.46372i 0.0539708 + 0.105924i 0.916417 0.400226i \(-0.131068\pi\)
−0.862446 + 0.506150i \(0.831068\pi\)
\(542\) −30.6514 + 8.25692i −1.31659 + 0.354665i
\(543\) 0.665788 0.0285717
\(544\) −4.68888 + 3.84912i −0.201034 + 0.165030i
\(545\) 0.110570 10.8537i 0.00473629 0.464922i
\(546\) 0.00137376 0.0269005i 5.87914e−5 0.00115123i
\(547\) 3.57830 22.5925i 0.152997 0.965986i −0.785038 0.619447i \(-0.787357\pi\)
0.938035 0.346539i \(-0.112643\pi\)
\(548\) 12.9206 + 22.2417i 0.551942 + 0.950118i
\(549\) 6.87947 + 6.87947i 0.293608 + 0.293608i
\(550\) 17.2692 + 4.01575i 0.736362 + 0.171232i
\(551\) 0.0357229i 0.00152185i
\(552\) −1.59026 + 1.16516i −0.0676861 + 0.0495926i
\(553\) 0.240669 + 0.331252i 0.0102343 + 0.0140863i
\(554\) 24.5975 22.2073i 1.04505 0.943496i
\(555\) −0.293311 + 1.73717i −0.0124504 + 0.0737388i
\(556\) 5.65674 2.18878i 0.239899 0.0928249i
\(557\) −22.2364 + 22.2364i −0.942188 + 0.942188i −0.998418 0.0562298i \(-0.982092\pi\)
0.0562298 + 0.998418i \(0.482092\pi\)
\(558\) −6.36040 23.6111i −0.269257 0.999538i
\(559\) 0.131589 0.404990i 0.00556563 0.0171293i
\(560\) −6.99675 2.72475i −0.295667 0.115142i
\(561\) 0.151370 + 0.465869i 0.00639084 + 0.0196690i
\(562\) 27.5159 17.9214i 1.16069 0.755967i
\(563\) 0.205720 + 0.403748i 0.00867005 + 0.0170159i 0.895301 0.445462i \(-0.146961\pi\)
−0.886631 + 0.462478i \(0.846961\pi\)
\(564\) −0.791249 + 2.98486i −0.0333176 + 0.125685i
\(565\) 19.4287 19.0368i 0.817370 0.800885i
\(566\) −3.81284 + 18.0566i −0.160266 + 0.758976i
\(567\) −4.29410 + 5.91032i −0.180335 + 0.248210i
\(568\) −19.6192 + 38.8894i −0.823202 + 1.63176i
\(569\) 11.4397 15.7454i 0.479578 0.660083i −0.498846 0.866691i \(-0.666242\pi\)
0.978424 + 0.206608i \(0.0662425\pi\)
\(570\) −0.684429 + 0.605380i −0.0286676 + 0.0253566i
\(571\) 28.4065 + 4.49915i 1.18877 + 0.188283i 0.719324 0.694675i \(-0.244452\pi\)
0.469451 + 0.882958i \(0.344452\pi\)
\(572\) 0.465253 + 0.416670i 0.0194532 + 0.0174218i
\(573\) 1.85957 + 0.947501i 0.0776848 + 0.0395824i
\(574\) 2.41450 2.98982i 0.100779 0.124793i
\(575\) −15.2447 11.5577i −0.635749 0.481988i
\(576\) −19.0892 + 14.1043i −0.795382 + 0.587678i
\(577\) −3.40354 10.4750i −0.141691 0.436081i 0.854879 0.518827i \(-0.173631\pi\)
−0.996571 + 0.0827459i \(0.973631\pi\)
\(578\) −1.14321 + 22.3861i −0.0475514 + 0.931137i
\(579\) −0.440939 + 2.78398i −0.0183248 + 0.115698i
\(580\) −0.0986733 + 0.0201999i −0.00409719 + 0.000838754i
\(581\) −1.78821 11.2903i −0.0741875 0.468401i
\(582\) −0.227132 2.13359i −0.00941492 0.0884401i
\(583\) 7.65851 10.5410i 0.317183 0.436565i
\(584\) 25.3570 + 25.1545i 1.04928 + 1.04090i
\(585\) 0.263307 0.783140i 0.0108864 0.0323789i
\(586\) 3.18826 + 7.13529i 0.131706 + 0.294756i
\(587\) −8.50532 + 4.33368i −0.351052 + 0.178870i −0.620620 0.784111i \(-0.713119\pi\)
0.269568 + 0.962981i \(0.413119\pi\)
\(588\) −1.77861 + 1.44818i −0.0733488 + 0.0597219i
\(589\) −8.23666 4.19679i −0.339386 0.172926i
\(590\) 12.2069 + 4.81020i 0.502552 + 0.198033i
\(591\) −0.0853474 + 0.262672i −0.00351072 + 0.0108049i
\(592\) 9.49962 + 14.4584i 0.390432 + 0.594236i
\(593\) −26.7515 −1.09855 −0.549276 0.835641i \(-0.685096\pi\)
−0.549276 + 0.835641i \(0.685096\pi\)
\(594\) 1.00257 + 3.72174i 0.0411359 + 0.152705i
\(595\) 1.80286 0.895587i 0.0739100 0.0367155i
\(596\) −1.89067 34.3212i −0.0774450 1.40585i
\(597\) 2.51724 + 0.398692i 0.103024 + 0.0163174i
\(598\) −0.274922 0.615271i −0.0112424 0.0251603i
\(599\) 14.5744i 0.595494i 0.954645 + 0.297747i \(0.0962353\pi\)
−0.954645 + 0.297747i \(0.903765\pi\)
\(600\) 2.05919 + 1.54820i 0.0840661 + 0.0632051i
\(601\) 19.3391i 0.788858i 0.918927 + 0.394429i \(0.129058\pi\)
−0.918927 + 0.394429i \(0.870942\pi\)
\(602\) 3.70610 1.65600i 0.151049 0.0674935i
\(603\) 17.1099 + 2.70994i 0.696769 + 0.110357i
\(604\) 21.8409 24.3875i 0.888692 0.992313i
\(605\) 1.54247 + 10.4250i 0.0627102 + 0.423836i
\(606\) −4.36928 + 1.17701i −0.177490 + 0.0478126i
\(607\) −40.1209 −1.62846 −0.814229 0.580543i \(-0.802840\pi\)
−0.814229 + 0.580543i \(0.802840\pi\)
\(608\) −0.878267 + 8.92959i −0.0356184 + 0.362143i
\(609\) 0.00106432 0.00327564i 4.31284e−5 0.000132736i
\(610\) −2.59520 10.0400i −0.105076 0.406509i
\(611\) −0.940515 0.479216i −0.0380492 0.0193870i
\(612\) 0.648225 6.33012i 0.0262029 0.255880i
\(613\) 24.6772 12.5737i 0.996702 0.507845i 0.122012 0.992529i \(-0.461065\pi\)
0.874690 + 0.484684i \(0.161065\pi\)
\(614\) −4.68451 + 2.09318i −0.189051 + 0.0844739i
\(615\) −1.07460 + 0.764136i −0.0433319 + 0.0308129i
\(616\) 0.0238636 + 5.95357i 0.000961493 + 0.239876i
\(617\) 20.3678 28.0338i 0.819976 1.12860i −0.169731 0.985490i \(-0.554290\pi\)
0.989707 0.143109i \(-0.0457100\pi\)
\(618\) −2.30263 + 0.245127i −0.0926252 + 0.00986044i
\(619\) 0.141890 + 0.895857i 0.00570303 + 0.0360075i 0.990376 0.138405i \(-0.0441975\pi\)
−0.984673 + 0.174412i \(0.944197\pi\)
\(620\) −6.93481 + 25.1243i −0.278509 + 1.00902i
\(621\) 0.650596 4.10770i 0.0261075 0.164836i
\(622\) 9.72019 + 0.496392i 0.389744 + 0.0199035i
\(623\) 2.15290 + 6.62595i 0.0862541 + 0.265463i
\(624\) 0.0373548 + 0.0827079i 0.00149539 + 0.00331097i
\(625\) −8.68758 + 23.4420i −0.347503 + 0.937679i
\(626\) 37.1765 + 30.0228i 1.48587 + 1.19995i
\(627\) 0.645548 + 0.328923i 0.0257807 + 0.0131359i
\(628\) −25.6342 + 1.41213i −1.02292 + 0.0563501i
\(629\) −4.58101 0.725560i −0.182657 0.0289300i
\(630\) 7.22312 3.13963i 0.287776 0.125086i
\(631\) −8.51416 + 11.7187i −0.338943 + 0.466515i −0.944132 0.329566i \(-0.893097\pi\)
0.605189 + 0.796082i \(0.293097\pi\)
\(632\) −1.23168 0.621365i −0.0489935 0.0247166i
\(633\) 1.45453 2.00199i 0.0578125 0.0795721i
\(634\) 26.9057 + 5.68142i 1.06856 + 0.225638i
\(635\) −0.162055 + 0.959792i −0.00643097 + 0.0380882i
\(636\) 1.63707 0.951007i 0.0649142 0.0377099i
\(637\) −0.355944 0.698579i −0.0141030 0.0276787i
\(638\) 0.0435852 + 0.0669194i 0.00172555 + 0.00264936i
\(639\) −14.1187 43.4529i −0.558528 1.71897i
\(640\) 25.1618 2.62339i 0.994609 0.103699i
\(641\) −6.17254 + 18.9971i −0.243801 + 0.750342i 0.752031 + 0.659128i \(0.229075\pi\)
−0.995831 + 0.0912136i \(0.970925\pi\)
\(642\) −0.211536 + 0.0569839i −0.00834865 + 0.00224897i
\(643\) 6.55512 6.55512i 0.258509 0.258509i −0.565939 0.824447i \(-0.691486\pi\)
0.824447 + 0.565939i \(0.191486\pi\)
\(644\) 2.59717 5.87554i 0.102343 0.231529i
\(645\) −1.37777 + 0.203853i −0.0542497 + 0.00802671i
\(646\) −1.61203 1.78554i −0.0634245 0.0702511i
\(647\) −14.6143 20.1148i −0.574546 0.790795i 0.418538 0.908199i \(-0.362543\pi\)
−0.993084 + 0.117404i \(0.962543\pi\)
\(648\) 3.75303 24.3264i 0.147433 0.955630i
\(649\) 10.4034i 0.408368i
\(650\) −0.665553 + 0.576707i −0.0261051 + 0.0226203i
\(651\) −0.630229 0.630229i −0.0247006 0.0247006i
\(652\) −2.22464 + 8.39211i −0.0871237 + 0.328660i
\(653\) −1.63749 + 10.3387i −0.0640798 + 0.404584i 0.934710 + 0.355410i \(0.115659\pi\)
−0.998790 + 0.0491739i \(0.984341\pi\)
\(654\) −1.24894 0.0637811i −0.0488375 0.00249404i
\(655\) 5.90816 + 1.98644i 0.230851 + 0.0776167i
\(656\) −2.62433 + 12.6793i −0.102463 + 0.495045i
\(657\) −37.4648 −1.46164
\(658\) −2.61727 9.71584i −0.102032 0.378763i
\(659\) 8.62091 + 16.9195i 0.335823 + 0.659089i 0.995736 0.0922528i \(-0.0294068\pi\)
−0.659913 + 0.751342i \(0.729407\pi\)
\(660\) 0.543515 1.96912i 0.0211563 0.0766478i
\(661\) 10.8620 21.3178i 0.422481 0.829166i −0.577438 0.816435i \(-0.695947\pi\)
0.999919 0.0127314i \(-0.00405263\pi\)
\(662\) −6.86582 + 32.5147i −0.266848 + 1.26372i
\(663\) −0.0231399 0.00751860i −0.000898678 0.000291998i
\(664\) 22.7627 + 31.0675i 0.883362 + 1.20565i
\(665\) 0.948883 2.82221i 0.0367961 0.109441i
\(666\) −17.7548 3.74912i −0.687986 0.145276i
\(667\) −0.0134800 0.0851097i −0.000521949 0.00329546i
\(668\) 36.1742 7.79015i 1.39962 0.301410i
\(669\) −3.94170 + 0.624305i −0.152395 + 0.0241370i
\(670\) −14.2462 11.7466i −0.550379 0.453812i
\(671\) −6.65212 + 4.83305i −0.256802 + 0.186578i
\(672\) −0.346580 + 0.792639i −0.0133696 + 0.0305767i
\(673\) −0.669587 2.06078i −0.0258107 0.0794371i 0.937321 0.348466i \(-0.113297\pi\)
−0.963132 + 0.269029i \(0.913297\pi\)
\(674\) −3.06693 + 3.79771i −0.118134 + 0.146282i
\(675\) −5.38417 + 0.740667i −0.207237 + 0.0285083i
\(676\) 25.3870 5.46711i 0.976422 0.210274i
\(677\) −8.31640 + 16.3218i −0.319625 + 0.627300i −0.993789 0.111282i \(-0.964504\pi\)
0.674164 + 0.738582i \(0.264504\pi\)
\(678\) −2.10010 2.32614i −0.0806539 0.0893349i
\(679\) 4.10958 + 5.65635i 0.157711 + 0.217071i
\(680\) −4.02045 + 5.46238i −0.154177 + 0.209473i
\(681\) −3.15814 + 4.34680i −0.121020 + 0.166570i
\(682\) 20.5501 2.18767i 0.786905 0.0837702i
\(683\) −6.19512 39.1145i −0.237050 1.49667i −0.763134 0.646240i \(-0.776340\pi\)
0.526084 0.850433i \(-0.323660\pi\)
\(684\) −5.94249 7.29840i −0.227217 0.279061i
\(685\) 20.1270 + 20.5413i 0.769015 + 0.784844i
\(686\) 5.63689 14.7434i 0.215217 0.562907i
\(687\) 0.744750 2.29210i 0.0284140 0.0874492i
\(688\) −8.55003 + 10.6746i −0.325967 + 0.406963i
\(689\) 0.199989 + 0.615502i 0.00761896 + 0.0234487i
\(690\) −1.40221 + 1.70058i −0.0533812 + 0.0647401i
\(691\) −4.13349 8.11243i −0.157245 0.308612i 0.798921 0.601436i \(-0.205405\pi\)
−0.956166 + 0.292825i \(0.905405\pi\)
\(692\) −11.0158 28.4696i −0.418759 1.08225i
\(693\) −4.41582 4.41582i −0.167743 0.167743i
\(694\) −33.1638 19.0881i −1.25888 0.724574i
\(695\) 5.52655 3.92989i 0.209634 0.149069i
\(696\) 0.00186125 + 0.0114541i 7.05505e−5 + 0.000434168i
\(697\) −2.04042 2.80840i −0.0772866 0.106376i
\(698\) −43.2853 + 19.3412i −1.63837 + 0.732075i
\(699\) −1.52185 1.52185i −0.0575618 0.0575618i
\(700\) −8.33202 1.02514i −0.314921 0.0387468i
\(701\) −19.7916 + 19.7916i −0.747517 + 0.747517i −0.974012 0.226495i \(-0.927273\pi\)
0.226495 + 0.974012i \(0.427273\pi\)
\(702\) −0.178825 0.0683706i −0.00674933 0.00258048i
\(703\) −5.54995 + 4.03227i −0.209320 + 0.152080i
\(704\) −9.24966 17.7993i −0.348610 0.670836i
\(705\) −0.0351692 + 3.45226i −0.00132455 + 0.130020i
\(706\) 31.0146 8.35476i 1.16725 0.314436i
\(707\) 10.4263 10.4263i 0.392120 0.392120i
\(708\) 0.611160 1.38262i 0.0229688 0.0519620i
\(709\) 3.80282 1.93763i 0.142818 0.0727694i −0.381121 0.924525i \(-0.624462\pi\)
0.523939 + 0.851756i \(0.324462\pi\)
\(710\) −10.5464 + 47.5436i −0.395798 + 1.78428i
\(711\) 1.37621 0.447158i 0.0516120 0.0167697i
\(712\) −16.6645 16.5314i −0.624529 0.619542i
\(713\) −21.2075 6.89072i −0.794226 0.258060i
\(714\) −0.0946185 0.211755i −0.00354101 0.00792472i
\(715\) 0.618909 + 0.323333i 0.0231459 + 0.0120920i
\(716\) −35.1909 + 28.6530i −1.31514 + 1.07081i
\(717\) 3.56494 0.564630i 0.133135 0.0210865i
\(718\) −4.97812 4.02020i −0.185782 0.150033i
\(719\) 21.1143 + 15.3404i 0.787430 + 0.572101i 0.907200 0.420700i \(-0.138216\pi\)
−0.119770 + 0.992802i \(0.538216\pi\)
\(720\) −16.7993 + 20.5412i −0.626073 + 0.765526i
\(721\) 6.10449 4.43517i 0.227343 0.165174i
\(722\) 23.2817 + 1.18895i 0.866455 + 0.0442482i
\(723\) −0.303658 0.154721i −0.0112932 0.00575415i
\(724\) 3.96466 6.14090i 0.147345 0.228225i
\(725\) −0.101355 + 0.0490683i −0.00376424 + 0.00182235i
\(726\) 1.20736 0.128530i 0.0448095 0.00477021i
\(727\) −22.9210 + 7.44750i −0.850094 + 0.276212i −0.701485 0.712684i \(-0.747479\pi\)
−0.148609 + 0.988896i \(0.547479\pi\)
\(728\) −0.239936 0.172859i −0.00889262 0.00640657i
\(729\) 14.8266 + 20.4070i 0.549132 + 0.755815i
\(730\) 34.4050 + 20.2719i 1.27339 + 0.750296i
\(731\) −0.573597 3.62155i −0.0212153 0.133948i
\(732\) −1.16800 + 0.251530i −0.0431705 + 0.00929681i
\(733\) 40.9430 6.48474i 1.51227 0.239519i 0.655488 0.755206i \(-0.272463\pi\)
0.856778 + 0.515686i \(0.172463\pi\)
\(734\) 3.21989 + 4.94372i 0.118848 + 0.182476i
\(735\) −1.52834 + 2.05914i −0.0563736 + 0.0759523i
\(736\) 1.27712 + 21.6061i 0.0470752 + 0.796413i
\(737\) −4.52421 + 13.9241i −0.166652 + 0.512901i
\(738\) −7.41227 11.3806i −0.272850 0.418925i
\(739\) −25.4945 12.9901i −0.937829 0.477848i −0.0828799 0.996560i \(-0.526412\pi\)
−0.854949 + 0.518712i \(0.826412\pi\)
\(740\) 14.2762 + 13.0499i 0.524803 + 0.479724i
\(741\) −0.0320646 + 0.0163377i −0.00117792 + 0.000600181i
\(742\) −3.07747 + 5.34682i −0.112977 + 0.196288i
\(743\) 25.1973i 0.924398i −0.886776 0.462199i \(-0.847061\pi\)
0.886776 0.462199i \(-0.152939\pi\)
\(744\) 2.85965 + 0.916502i 0.104840 + 0.0336006i
\(745\) −11.5027 36.6686i −0.421427 1.34343i
\(746\) −6.53207 + 5.89732i −0.239156 + 0.215916i
\(747\) −39.9010 6.31969i −1.45990 0.231226i
\(748\) 5.19832 + 1.37801i 0.190069 + 0.0503850i
\(749\) 0.504780 0.504780i 0.0184442 0.0184442i
\(750\) 2.65774 + 1.11036i 0.0970469 + 0.0405448i
\(751\) 18.7926 0.685752 0.342876 0.939381i \(-0.388599\pi\)
0.342876 + 0.939381i \(0.388599\pi\)
\(752\) 22.8191 + 25.0724i 0.832128 + 0.914298i
\(753\) 1.42958 1.03865i 0.0520967 0.0378505i
\(754\) −0.00396159 0.000202311i −0.000144273 7.36773e-6i
\(755\) 16.9484 32.4418i 0.616815 1.18068i
\(756\) −0.658572 1.70203i −0.0239520 0.0619022i
\(757\) 29.1500 + 29.1500i 1.05947 + 1.05947i 0.998116 + 0.0613575i \(0.0195430\pi\)
0.0613575 + 0.998116i \(0.480457\pi\)
\(758\) 1.38618 + 0.797845i 0.0503484 + 0.0289790i
\(759\) 1.66213 + 0.540060i 0.0603317 + 0.0196029i
\(760\) 1.50806 + 9.91776i 0.0547032 + 0.359755i
\(761\) 9.28696 3.01752i 0.336652 0.109385i −0.135813 0.990735i \(-0.543364\pi\)
0.472464 + 0.881350i \(0.343364\pi\)
\(762\) 0.109727 + 0.0231701i 0.00397501 + 0.000839365i
\(763\) 3.63086 1.85002i 0.131446 0.0669751i
\(764\) 19.8127 11.5096i 0.716799 0.416402i
\(765\) −1.04128 7.03768i −0.0376477 0.254448i
\(766\) −3.55950 5.46515i −0.128610 0.197464i
\(767\) 0.418050 + 0.303731i 0.0150949 + 0.0109671i
\(768\) −0.183647 2.90893i −0.00662680 0.104967i
\(769\) −23.4583 17.0435i −0.845929 0.614603i 0.0780918 0.996946i \(-0.475117\pi\)
−0.924020 + 0.382343i \(0.875117\pi\)
\(770\) 1.66582 + 6.44454i 0.0600319 + 0.232245i
\(771\) 0.561268 3.54371i 0.0202136 0.127624i
\(772\) 23.0523 + 20.6451i 0.829671