Properties

Label 441.2.y.a.151.16
Level $441$
Weight $2$
Character 441.151
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.y (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 151.16
Character \(\chi\) \(=\) 441.151
Dual form 441.2.y.a.184.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.14087 + 0.549413i) q^{2} +(-1.62798 + 0.591337i) q^{3} +(-0.247253 + 0.310046i) q^{4} +(1.11762 + 1.03700i) q^{5} +(1.53242 - 1.56907i) q^{6} +(1.67910 + 2.04466i) q^{7} +(0.675283 - 2.95861i) q^{8} +(2.30064 - 1.92537i) q^{9} +O(q^{10})\) \(q+(-1.14087 + 0.549413i) q^{2} +(-1.62798 + 0.591337i) q^{3} +(-0.247253 + 0.310046i) q^{4} +(1.11762 + 1.03700i) q^{5} +(1.53242 - 1.56907i) q^{6} +(1.67910 + 2.04466i) q^{7} +(0.675283 - 2.95861i) q^{8} +(2.30064 - 1.92537i) q^{9} +(-1.84480 - 0.569044i) q^{10} +(4.51953 + 3.08136i) q^{11} +(0.219182 - 0.650959i) q^{12} +(-0.984498 - 0.671219i) q^{13} +(-3.03899 - 1.41017i) q^{14} +(-2.43268 - 1.02732i) q^{15} +(0.678602 + 2.97315i) q^{16} +(6.40805 - 0.965859i) q^{17} +(-1.56690 + 3.46060i) q^{18} +(-1.48970 - 2.58024i) q^{19} +(-0.597852 + 0.0901117i) q^{20} +(-3.94262 - 2.33576i) q^{21} +(-6.84913 - 1.03234i) q^{22} +(3.07522 + 7.83552i) q^{23} +(0.650188 + 5.21587i) q^{24} +(-0.199945 - 2.66808i) q^{25} +(1.49196 + 0.224877i) q^{26} +(-2.60685 + 4.49492i) q^{27} +(-1.04910 + 0.0150477i) q^{28} +(-7.37605 + 1.11176i) q^{29} +(3.33979 - 0.164504i) q^{30} -0.379165 q^{31} +(1.37652 + 1.72610i) q^{32} +(-9.17983 - 2.34383i) q^{33} +(-6.78009 + 4.62259i) q^{34} +(-0.243721 + 4.02637i) q^{35} +(0.0281123 + 1.18936i) q^{36} +(-1.36219 + 3.47079i) q^{37} +(3.11717 + 2.12525i) q^{38} +(1.99966 + 0.510562i) q^{39} +(3.82278 - 2.60633i) q^{40} +(-4.25784 + 1.31337i) q^{41} +(5.78131 + 0.498662i) q^{42} +(-1.67550 - 0.516822i) q^{43} +(-2.07283 + 0.639384i) q^{44} +(4.56784 + 0.233930i) q^{45} +(-7.81336 - 7.24974i) q^{46} +(7.36605 - 3.54730i) q^{47} +(-2.86288 - 4.43895i) q^{48} +(-1.36127 + 6.86636i) q^{49} +(1.69399 + 2.93408i) q^{50} +(-9.86104 + 5.36172i) q^{51} +(0.451529 - 0.139278i) q^{52} +(1.66787 + 4.24966i) q^{53} +(0.504508 - 6.56035i) q^{54} +(1.85574 + 8.13053i) q^{55} +(7.18321 - 3.58706i) q^{56} +(3.95099 + 3.31966i) q^{57} +(7.80429 - 5.32087i) q^{58} +(-0.839805 - 3.67942i) q^{59} +(0.920005 - 0.500232i) q^{60} +(-3.06868 - 3.84800i) q^{61} +(0.432577 - 0.208318i) q^{62} +(7.79973 + 1.47115i) q^{63} +(-8.01397 - 3.85933i) q^{64} +(-0.404239 - 1.77109i) q^{65} +(11.7607 - 2.36952i) q^{66} +3.91416 q^{67} +(-1.28495 + 2.22560i) q^{68} +(-9.63983 - 10.9376i) q^{69} +(-1.93409 - 4.72746i) q^{70} +(8.09418 - 10.1498i) q^{71} +(-4.14283 - 8.10686i) q^{72} +(-10.0976 + 6.88444i) q^{73} +(-0.352825 - 4.70812i) q^{74} +(1.90324 + 4.22535i) q^{75} +(1.16833 + 0.176097i) q^{76} +(1.28838 + 14.4148i) q^{77} +(-2.56186 + 0.516156i) q^{78} -4.04791 q^{79} +(-2.32473 + 4.02655i) q^{80} +(1.58589 - 8.85917i) q^{81} +(4.13605 - 3.83770i) q^{82} +(-3.17644 + 2.16566i) q^{83} +(1.69902 - 0.644870i) q^{84} +(8.16335 + 5.56568i) q^{85} +(2.19547 - 0.330914i) q^{86} +(11.3506 - 6.17166i) q^{87} +(12.1685 - 11.2907i) q^{88} +(-0.797571 - 10.6428i) q^{89} +(-5.33983 + 2.24275i) q^{90} +(-0.280651 - 3.14001i) q^{91} +(-3.18973 - 0.983902i) q^{92} +(0.617273 - 0.224214i) q^{93} +(-6.45476 + 8.09401i) q^{94} +(1.01078 - 4.42854i) q^{95} +(-3.26165 - 1.99607i) q^{96} +(1.06426 - 1.84335i) q^{97} +(-2.21944 - 8.58152i) q^{98} +(16.3306 - 1.61266i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} + O(q^{10}) \) \( 648q - 5q^{2} - 13q^{3} - 109q^{4} - 12q^{5} + 2q^{6} - 7q^{7} - 16q^{8} - 3q^{9} - 22q^{10} - 8q^{11} - 64q^{12} - 4q^{13} - 26q^{14} - 4q^{15} - 97q^{16} - 37q^{17} - q^{18} - 14q^{19} - 11q^{20} - 33q^{21} - q^{22} + 31q^{23} - 20q^{24} + 38q^{25} - 44q^{26} - 49q^{27} - 22q^{28} + 73q^{29} - 12q^{30} - 20q^{31} - q^{32} - 43q^{33} - 7q^{34} - 32q^{35} + 20q^{36} - 39q^{37} - 40q^{38} + q^{39} - q^{40} - 17q^{41} + 82q^{42} - q^{43} - 31q^{44} - 177q^{45} + 56q^{46} + 5q^{47} - 23q^{48} - q^{49} - 21q^{50} - 18q^{51} - 48q^{52} + 50q^{53} - 15q^{54} + 20q^{55} + 127q^{56} + 33q^{57} - 82q^{58} + 53q^{59} + 43q^{60} + 42q^{61} - 30q^{62} + 57q^{63} - 88q^{64} - 11q^{65} - 90q^{66} - 26q^{67} + 145q^{68} + 64q^{69} - 46q^{70} - 19q^{71} - 46q^{72} - 40q^{73} + 18q^{74} - 114q^{75} + 43q^{76} + 7q^{77} - 129q^{78} - 26q^{79} + 163q^{80} + 85q^{81} - 28q^{82} - 221q^{83} - 113q^{84} - 10q^{85} - 18q^{86} + 37q^{87} - 4q^{88} - 104q^{89} - 60q^{90} - 49q^{91} + 119q^{92} - 149q^{93} - 13q^{94} + 37q^{95} + 186q^{96} - 11q^{97} - 33q^{98} + 62q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\) \(e\left(\frac{2}{3}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.14087 + 0.549413i −0.806716 + 0.388494i −0.791331 0.611388i \(-0.790612\pi\)
−0.0153847 + 0.999882i \(0.504897\pi\)
\(3\) −1.62798 + 0.591337i −0.939915 + 0.341409i
\(4\) −0.247253 + 0.310046i −0.123627 + 0.155023i
\(5\) 1.11762 + 1.03700i 0.499814 + 0.463760i 0.889334 0.457259i \(-0.151169\pi\)
−0.389520 + 0.921018i \(0.627359\pi\)
\(6\) 1.53242 1.56907i 0.625609 0.640571i
\(7\) 1.67910 + 2.04466i 0.634639 + 0.772809i
\(8\) 0.675283 2.95861i 0.238749 1.04603i
\(9\) 2.30064 1.92537i 0.766880 0.641790i
\(10\) −1.84480 0.569044i −0.583376 0.179948i
\(11\) 4.51953 + 3.08136i 1.36269 + 0.929066i 0.999996 0.00284314i \(-0.000905000\pi\)
0.362693 + 0.931909i \(0.381857\pi\)
\(12\) 0.219182 0.650959i 0.0632724 0.187916i
\(13\) −0.984498 0.671219i −0.273051 0.186163i 0.419051 0.907963i \(-0.362363\pi\)
−0.692102 + 0.721800i \(0.743315\pi\)
\(14\) −3.03899 1.41017i −0.812205 0.376884i
\(15\) −2.43268 1.02732i −0.628114 0.265254i
\(16\) 0.678602 + 2.97315i 0.169650 + 0.743287i
\(17\) 6.40805 0.965859i 1.55418 0.234255i 0.684924 0.728615i \(-0.259836\pi\)
0.869257 + 0.494360i \(0.164597\pi\)
\(18\) −1.56690 + 3.46060i −0.369323 + 0.815671i
\(19\) −1.48970 2.58024i −0.341761 0.591947i 0.642999 0.765867i \(-0.277690\pi\)
−0.984760 + 0.173920i \(0.944357\pi\)
\(20\) −0.597852 + 0.0901117i −0.133684 + 0.0201496i
\(21\) −3.94262 2.33576i −0.860350 0.509704i
\(22\) −6.84913 1.03234i −1.46024 0.220096i
\(23\) 3.07522 + 7.83552i 0.641227 + 1.63382i 0.766914 + 0.641750i \(0.221791\pi\)
−0.125687 + 0.992070i \(0.540114\pi\)
\(24\) 0.650188 + 5.21587i 0.132719 + 1.06469i
\(25\) −0.199945 2.66808i −0.0399891 0.533617i
\(26\) 1.49196 + 0.224877i 0.292597 + 0.0441020i
\(27\) −2.60685 + 4.49492i −0.501689 + 0.865048i
\(28\) −1.04910 + 0.0150477i −0.198262 + 0.00284375i
\(29\) −7.37605 + 1.11176i −1.36970 + 0.206449i −0.792359 0.610056i \(-0.791147\pi\)
−0.577339 + 0.816504i \(0.695909\pi\)
\(30\) 3.33979 0.164504i 0.609759 0.0300341i
\(31\) −0.379165 −0.0681000 −0.0340500 0.999420i \(-0.510841\pi\)
−0.0340500 + 0.999420i \(0.510841\pi\)
\(32\) 1.37652 + 1.72610i 0.243336 + 0.305134i
\(33\) −9.17983 2.34383i −1.59800 0.408009i
\(34\) −6.78009 + 4.62259i −1.16278 + 0.792767i
\(35\) −0.243721 + 4.02637i −0.0411963 + 0.680580i
\(36\) 0.0281123 + 1.18936i 0.00468539 + 0.198227i
\(37\) −1.36219 + 3.47079i −0.223942 + 0.570595i −0.998047 0.0624619i \(-0.980105\pi\)
0.774105 + 0.633057i \(0.218200\pi\)
\(38\) 3.11717 + 2.12525i 0.505672 + 0.344761i
\(39\) 1.99966 + 0.510562i 0.320202 + 0.0817553i
\(40\) 3.82278 2.60633i 0.604434 0.412096i
\(41\) −4.25784 + 1.31337i −0.664963 + 0.205114i −0.608819 0.793309i \(-0.708357\pi\)
−0.0561434 + 0.998423i \(0.517880\pi\)
\(42\) 5.78131 + 0.498662i 0.892075 + 0.0769452i
\(43\) −1.67550 0.516822i −0.255511 0.0788146i 0.164354 0.986401i \(-0.447446\pi\)
−0.419864 + 0.907587i \(0.637922\pi\)
\(44\) −2.07283 + 0.639384i −0.312491 + 0.0963908i
\(45\) 4.56784 + 0.233930i 0.680934 + 0.0348723i
\(46\) −7.81336 7.24974i −1.15202 1.06892i
\(47\) 7.36605 3.54730i 1.07445 0.517427i 0.188910 0.981994i \(-0.439504\pi\)
0.885538 + 0.464567i \(0.153790\pi\)
\(48\) −2.86288 4.43895i −0.413222 0.640707i
\(49\) −1.36127 + 6.86636i −0.194468 + 0.980909i
\(50\) 1.69399 + 2.93408i 0.239567 + 0.414942i
\(51\) −9.86104 + 5.36172i −1.38082 + 0.750791i
\(52\) 0.451529 0.139278i 0.0626159 0.0193144i
\(53\) 1.66787 + 4.24966i 0.229099 + 0.583736i 0.998484 0.0550507i \(-0.0175320\pi\)
−0.769384 + 0.638786i \(0.779437\pi\)
\(54\) 0.504508 6.56035i 0.0686549 0.892751i
\(55\) 1.85574 + 8.13053i 0.250228 + 1.09632i
\(56\) 7.18321 3.58706i 0.959897 0.479341i
\(57\) 3.95099 + 3.31966i 0.523322 + 0.439700i
\(58\) 7.80429 5.32087i 1.02475 0.698665i
\(59\) −0.839805 3.67942i −0.109333 0.479020i −0.999717 0.0238087i \(-0.992421\pi\)
0.890383 0.455212i \(-0.150436\pi\)
\(60\) 0.920005 0.500232i 0.118772 0.0645797i
\(61\) −3.06868 3.84800i −0.392904 0.492686i 0.545556 0.838074i \(-0.316319\pi\)
−0.938460 + 0.345389i \(0.887747\pi\)
\(62\) 0.432577 0.208318i 0.0549373 0.0264564i
\(63\) 7.79973 + 1.47115i 0.982673 + 0.185347i
\(64\) −8.01397 3.85933i −1.00175 0.482416i
\(65\) −0.404239 1.77109i −0.0501397 0.219677i
\(66\) 11.7607 2.36952i 1.44764 0.291667i
\(67\) 3.91416 0.478191 0.239095 0.970996i \(-0.423149\pi\)
0.239095 + 0.970996i \(0.423149\pi\)
\(68\) −1.28495 + 2.22560i −0.155823 + 0.269894i
\(69\) −9.63983 10.9376i −1.16050 1.31673i
\(70\) −1.93409 4.72746i −0.231168 0.565040i
\(71\) 8.09418 10.1498i 0.960603 1.20456i −0.0182169 0.999834i \(-0.505799\pi\)
0.978820 0.204724i \(-0.0656296\pi\)
\(72\) −4.14283 8.10686i −0.488238 0.955403i
\(73\) −10.0976 + 6.88444i −1.18184 + 0.805763i −0.984639 0.174601i \(-0.944137\pi\)
−0.197198 + 0.980364i \(0.563184\pi\)
\(74\) −0.352825 4.70812i −0.0410151 0.547308i
\(75\) 1.90324 + 4.22535i 0.219768 + 0.487902i
\(76\) 1.16833 + 0.176097i 0.134016 + 0.0201997i
\(77\) 1.28838 + 14.4148i 0.146825 + 1.64272i
\(78\) −2.56186 + 0.516156i −0.290073 + 0.0584432i
\(79\) −4.04791 −0.455425 −0.227713 0.973728i \(-0.573125\pi\)
−0.227713 + 0.973728i \(0.573125\pi\)
\(80\) −2.32473 + 4.02655i −0.259913 + 0.450182i
\(81\) 1.58589 8.85917i 0.176210 0.984353i
\(82\) 4.13605 3.83770i 0.456751 0.423803i
\(83\) −3.17644 + 2.16566i −0.348660 + 0.237712i −0.724968 0.688782i \(-0.758146\pi\)
0.376309 + 0.926494i \(0.377193\pi\)
\(84\) 1.69902 0.644870i 0.185378 0.0703611i
\(85\) 8.16335 + 5.56568i 0.885439 + 0.603682i
\(86\) 2.19547 0.330914i 0.236744 0.0356834i
\(87\) 11.3506 6.17166i 1.21692 0.661671i
\(88\) 12.1685 11.2907i 1.29717 1.20359i
\(89\) −0.797571 10.6428i −0.0845424 1.12814i −0.864610 0.502444i \(-0.832434\pi\)
0.780067 0.625696i \(-0.215185\pi\)
\(90\) −5.33983 + 2.24275i −0.562868 + 0.236407i
\(91\) −0.280651 3.14001i −0.0294202 0.329162i
\(92\) −3.18973 0.983902i −0.332552 0.102579i
\(93\) 0.617273 0.224214i 0.0640082 0.0232499i
\(94\) −6.45476 + 8.09401i −0.665757 + 0.834833i
\(95\) 1.01078 4.42854i 0.103704 0.454358i
\(96\) −3.26165 1.99607i −0.332891 0.203723i
\(97\) 1.06426 1.84335i 0.108059 0.187164i −0.806925 0.590654i \(-0.798870\pi\)
0.914984 + 0.403490i \(0.132203\pi\)
\(98\) −2.21944 8.58152i −0.224197 0.866864i
\(99\) 16.3306 1.61266i 1.64128 0.162079i
\(100\) 0.876666 + 0.597701i 0.0876666 + 0.0597701i
\(101\) 11.2535 3.47124i 1.11976 0.345401i 0.321019 0.947073i \(-0.395975\pi\)
0.798743 + 0.601672i \(0.205498\pi\)
\(102\) 8.30435 11.5348i 0.822253 1.14212i
\(103\) −1.20119 1.11454i −0.118357 0.109819i 0.618774 0.785569i \(-0.287630\pi\)
−0.737131 + 0.675750i \(0.763820\pi\)
\(104\) −2.65069 + 2.45948i −0.259921 + 0.241172i
\(105\) −1.98417 6.69897i −0.193635 0.653752i
\(106\) −4.23764 3.93195i −0.411596 0.381905i
\(107\) 0.616733 + 8.22973i 0.0596219 + 0.795598i 0.944235 + 0.329273i \(0.106804\pi\)
−0.884613 + 0.466326i \(0.845577\pi\)
\(108\) −0.749079 1.91963i −0.0720801 0.184716i
\(109\) −0.286774 + 3.82674i −0.0274680 + 0.366535i 0.966485 + 0.256725i \(0.0826433\pi\)
−0.993953 + 0.109810i \(0.964976\pi\)
\(110\) −6.58417 8.25629i −0.627776 0.787207i
\(111\) 0.165203 6.45590i 0.0156803 0.612766i
\(112\) −4.93964 + 6.37971i −0.466752 + 0.602826i
\(113\) 0.0838405 + 1.11877i 0.00788705 + 0.105245i 0.999758 0.0220033i \(-0.00700443\pi\)
−0.991871 + 0.127249i \(0.959385\pi\)
\(114\) −6.33143 1.61657i −0.592993 0.151405i
\(115\) −4.68850 + 11.9461i −0.437205 + 1.11398i
\(116\) 1.47906 2.56180i 0.137327 0.237857i
\(117\) −3.55732 + 0.351289i −0.328875 + 0.0324767i
\(118\) 2.97963 + 3.73634i 0.274297 + 0.343958i
\(119\) 12.7346 + 11.4805i 1.16738 + 1.05242i
\(120\) −4.68219 + 6.50360i −0.427423 + 0.593695i
\(121\) 6.91259 + 17.6130i 0.628417 + 1.60118i
\(122\) 5.61510 + 2.70409i 0.508367 + 0.244817i
\(123\) 6.15504 4.65596i 0.554981 0.419814i
\(124\) 0.0937498 0.117558i 0.00841898 0.0105571i
\(125\) 7.29623 9.14918i 0.652594 0.818328i
\(126\) −9.70673 + 2.60689i −0.864744 + 0.232240i
\(127\) 6.61793 + 8.29862i 0.587246 + 0.736383i 0.983330 0.181831i \(-0.0582024\pi\)
−0.396084 + 0.918214i \(0.629631\pi\)
\(128\) 6.84773 0.605260
\(129\) 3.03329 0.149407i 0.267066 0.0131546i
\(130\) 1.43424 + 1.79848i 0.125792 + 0.157738i
\(131\) −12.1750 3.75549i −1.06374 0.328119i −0.286990 0.957934i \(-0.592655\pi\)
−0.776745 + 0.629815i \(0.783131\pi\)
\(132\) 2.99644 2.26665i 0.260807 0.197286i
\(133\) 2.77436 7.37840i 0.240567 0.639788i
\(134\) −4.46554 + 2.15049i −0.385764 + 0.185774i
\(135\) −7.57469 + 2.32030i −0.651925 + 0.199700i
\(136\) 1.46965 19.6111i 0.126022 1.68164i
\(137\) −13.8556 + 12.8561i −1.18377 + 1.09837i −0.190600 + 0.981668i \(0.561043\pi\)
−0.993166 + 0.116707i \(0.962766\pi\)
\(138\) 17.0070 + 7.18210i 1.44774 + 0.611381i
\(139\) −7.53848 + 2.32531i −0.639405 + 0.197230i −0.597472 0.801890i \(-0.703828\pi\)
−0.0419337 + 0.999120i \(0.513352\pi\)
\(140\) −1.18810 1.07110i −0.100413 0.0905243i
\(141\) −9.89413 + 10.1308i −0.833236 + 0.853163i
\(142\) −3.65797 + 16.0266i −0.306970 + 1.34492i
\(143\) −2.38120 6.06719i −0.199126 0.507364i
\(144\) 7.28563 + 5.53359i 0.607136 + 0.461132i
\(145\) −9.39650 6.40642i −0.780337 0.532025i
\(146\) 7.73766 13.4020i 0.640373 1.10916i
\(147\) −1.84421 11.9833i −0.152108 0.988364i
\(148\) −0.739301 1.28051i −0.0607701 0.105257i
\(149\) −0.211626 + 2.82395i −0.0173371 + 0.231347i 0.981804 + 0.189899i \(0.0608161\pi\)
−0.999141 + 0.0414479i \(0.986803\pi\)
\(150\) −4.49282 3.77491i −0.366837 0.308220i
\(151\) 23.2809 + 3.50903i 1.89457 + 0.285561i 0.990033 0.140834i \(-0.0449782\pi\)
0.904537 + 0.426394i \(0.140216\pi\)
\(152\) −8.63988 + 2.66505i −0.700787 + 0.216164i
\(153\) 12.8830 14.5600i 1.04153 1.17710i
\(154\) −9.38956 15.7375i −0.756632 1.26817i
\(155\) −0.423761 0.393193i −0.0340373 0.0315820i
\(156\) −0.652721 + 0.493749i −0.0522595 + 0.0395315i
\(157\) −3.27616 14.3538i −0.261466 1.14556i −0.919662 0.392712i \(-0.871537\pi\)
0.658195 0.752847i \(-0.271320\pi\)
\(158\) 4.61813 2.22398i 0.367399 0.176930i
\(159\) −5.22824 5.93209i −0.414626 0.470445i
\(160\) −0.251540 + 3.35656i −0.0198860 + 0.265360i
\(161\) −10.8574 + 19.4444i −0.855683 + 1.53243i
\(162\) 3.05805 + 10.9785i 0.240263 + 0.862550i
\(163\) 7.51748 6.97520i 0.588814 0.546340i −0.328500 0.944504i \(-0.606543\pi\)
0.917314 + 0.398164i \(0.130353\pi\)
\(164\) 0.645561 1.64486i 0.0504098 0.128442i
\(165\) −7.82899 12.1390i −0.609486 0.945017i
\(166\) 2.43406 4.21591i 0.188920 0.327218i
\(167\) −3.27556 + 8.34599i −0.253470 + 0.645832i −0.999805 0.0197387i \(-0.993717\pi\)
0.746335 + 0.665571i \(0.231812\pi\)
\(168\) −9.57297 + 10.0874i −0.738570 + 0.778257i
\(169\) −4.23073 10.7797i −0.325441 0.829210i
\(170\) −12.3712 1.86465i −0.948825 0.143012i
\(171\) −8.39518 3.06797i −0.641996 0.234614i
\(172\) 0.574511 0.391695i 0.0438061 0.0298665i
\(173\) 8.30794 10.4178i 0.631641 0.792052i −0.358289 0.933611i \(-0.616640\pi\)
0.989930 + 0.141558i \(0.0452112\pi\)
\(174\) −9.55880 + 13.2772i −0.724651 + 1.00655i
\(175\) 5.11960 4.88879i 0.387005 0.369558i
\(176\) −6.09439 + 15.5283i −0.459382 + 1.17049i
\(177\) 3.54297 + 5.49342i 0.266306 + 0.412911i
\(178\) 6.75725 + 11.7039i 0.506477 + 0.877244i
\(179\) −15.6742 + 2.36251i −1.17155 + 0.176582i −0.705849 0.708362i \(-0.749434\pi\)
−0.465697 + 0.884944i \(0.654196\pi\)
\(180\) −1.20194 + 1.35840i −0.0895876 + 0.101249i
\(181\) −4.38546 2.11192i −0.325968 0.156978i 0.263741 0.964593i \(-0.415043\pi\)
−0.589710 + 0.807615i \(0.700758\pi\)
\(182\) 2.04535 + 3.42814i 0.151611 + 0.254111i
\(183\) 7.27121 + 4.44984i 0.537503 + 0.328942i
\(184\) 25.2589 3.80716i 1.86211 0.280668i
\(185\) −5.12161 + 2.46644i −0.376548 + 0.181336i
\(186\) −0.581041 + 0.594937i −0.0426040 + 0.0436229i
\(187\) 31.9375 + 15.3803i 2.33550 + 1.12472i
\(188\) −0.721454 + 3.16090i −0.0526174 + 0.230532i
\(189\) −13.5677 + 2.21727i −0.986908 + 0.161283i
\(190\) 1.27992 + 5.60772i 0.0928555 + 0.406827i
\(191\) −2.95569 + 12.9497i −0.213867 + 0.937010i 0.748045 + 0.663648i \(0.230993\pi\)
−0.961911 + 0.273362i \(0.911864\pi\)
\(192\) 15.3288 + 1.54395i 1.10626 + 0.111425i
\(193\) −3.97834 + 17.4303i −0.286367 + 1.25466i 0.603102 + 0.797664i \(0.293931\pi\)
−0.889470 + 0.456994i \(0.848926\pi\)
\(194\) −0.201418 + 2.68774i −0.0144610 + 0.192968i
\(195\) 1.70540 + 2.64426i 0.122127 + 0.189359i
\(196\) −1.79231 2.11979i −0.128022 0.151414i
\(197\) −9.12430 −0.650079 −0.325040 0.945700i \(-0.605378\pi\)
−0.325040 + 0.945700i \(0.605378\pi\)
\(198\) −17.7450 + 10.8121i −1.26108 + 0.768380i
\(199\) 16.0088 + 14.8540i 1.13483 + 1.05297i 0.998053 + 0.0623692i \(0.0198656\pi\)
0.136779 + 0.990602i \(0.456325\pi\)
\(200\) −8.02883 1.21015i −0.567724 0.0855707i
\(201\) −6.37218 + 2.31459i −0.449459 + 0.163259i
\(202\) −10.9316 + 10.1430i −0.769144 + 0.713661i
\(203\) −14.6583 13.2148i −1.02881 0.927495i
\(204\) 0.775796 4.38308i 0.0543166 0.306877i
\(205\) −6.12060 2.94752i −0.427481 0.205864i
\(206\) 1.98275 + 0.611597i 0.138145 + 0.0426120i
\(207\) 22.1613 + 12.1058i 1.54031 + 0.841411i
\(208\) 1.32755 3.38255i 0.0920492 0.234538i
\(209\) 1.21790 16.2518i 0.0842440 1.12416i
\(210\) 5.94418 + 6.55251i 0.410187 + 0.452166i
\(211\) −0.610792 8.15045i −0.0420487 0.561100i −0.977950 0.208839i \(-0.933032\pi\)
0.935901 0.352262i \(-0.114587\pi\)
\(212\) −1.72998 0.533627i −0.118815 0.0366497i
\(213\) −7.17523 + 21.3100i −0.491638 + 1.46014i
\(214\) −5.22514 9.05020i −0.357183 0.618659i
\(215\) −1.33662 2.31510i −0.0911568 0.157888i
\(216\) 11.5383 + 10.7480i 0.785085 + 0.731309i
\(217\) −0.636654 0.775263i −0.0432189 0.0526283i
\(218\) −1.77529 4.52336i −0.120238 0.306361i
\(219\) 12.3677 17.1788i 0.835732 1.16084i
\(220\) −2.97968 1.43494i −0.200890 0.0967434i
\(221\) −6.95702 3.35032i −0.467980 0.225367i
\(222\) 3.35848 + 7.45609i 0.225406 + 0.500420i
\(223\) −9.04806 23.0541i −0.605903 1.54382i −0.823225 0.567716i \(-0.807827\pi\)
0.217321 0.976100i \(-0.430268\pi\)
\(224\) −1.21798 + 5.71279i −0.0813797 + 0.381702i
\(225\) −5.59705 5.75333i −0.373137 0.383556i
\(226\) −0.710320 1.23031i −0.0472498 0.0818390i
\(227\) 13.0577 + 22.6166i 0.866669 + 1.50112i 0.865380 + 0.501116i \(0.167077\pi\)
0.00128956 + 0.999999i \(0.499590\pi\)
\(228\) −2.00615 + 0.404193i −0.132860 + 0.0267683i
\(229\) −14.7649 4.55438i −0.975695 0.300962i −0.234399 0.972141i \(-0.575312\pi\)
−0.741296 + 0.671179i \(0.765788\pi\)
\(230\) −1.21439 16.2049i −0.0800743 1.06852i
\(231\) −10.6215 22.7051i −0.698842 1.49389i
\(232\) −1.69166 + 22.5736i −0.111063 + 1.48203i
\(233\) 5.16978 13.1724i 0.338684 0.862952i −0.655494 0.755200i \(-0.727540\pi\)
0.994178 0.107751i \(-0.0343651\pi\)
\(234\) 3.86543 2.35522i 0.252691 0.153965i
\(235\) 11.9110 + 3.67405i 0.776986 + 0.239668i
\(236\) 1.34844 + 0.649372i 0.0877757 + 0.0422705i
\(237\) 6.58992 2.39368i 0.428061 0.155486i
\(238\) −20.8360 6.10121i −1.35060 0.395483i
\(239\) 16.3438 15.1648i 1.05719 0.980931i 0.0573438 0.998354i \(-0.481737\pi\)
0.999848 + 0.0174236i \(0.00554639\pi\)
\(240\) 1.40357 7.92985i 0.0905998 0.511870i
\(241\) −18.0673 2.72321i −1.16382 0.175417i −0.461406 0.887189i \(-0.652655\pi\)
−0.702411 + 0.711772i \(0.747893\pi\)
\(242\) −17.5632 16.2962i −1.12900 1.04756i
\(243\) 2.65696 + 15.3604i 0.170444 + 0.985367i
\(244\) 1.95180 0.124951
\(245\) −8.64179 + 6.26233i −0.552103 + 0.400086i
\(246\) −4.46404 + 8.69350i −0.284617 + 0.554277i
\(247\) −0.265298 + 3.54015i −0.0168805 + 0.225255i
\(248\) −0.256043 + 1.12180i −0.0162588 + 0.0712343i
\(249\) 3.89055 5.40400i 0.246553 0.342465i
\(250\) −3.29736 + 14.4467i −0.208543 + 0.913687i
\(251\) −3.04026 13.3203i −0.191900 0.840767i −0.975587 0.219612i \(-0.929521\pi\)
0.783688 0.621155i \(-0.213336\pi\)
\(252\) −2.38463 + 2.05453i −0.150218 + 0.129423i
\(253\) −10.2456 + 44.8887i −0.644133 + 2.82213i
\(254\) −12.1096 5.83166i −0.759821 0.365911i
\(255\) −16.5810 4.23352i −1.03834 0.265113i
\(256\) 8.21558 3.95642i 0.513474 0.247276i
\(257\) 13.5483 2.04208i 0.845123 0.127382i 0.287813 0.957687i \(-0.407072\pi\)
0.557309 + 0.830305i \(0.311834\pi\)
\(258\) −3.37850 + 1.83698i −0.210336 + 0.114366i
\(259\) −9.38384 + 3.04259i −0.583083 + 0.189057i
\(260\) 0.649069 + 0.312575i 0.0402535 + 0.0193851i
\(261\) −14.8291 + 16.7594i −0.917897 + 1.03738i
\(262\) 15.9534 2.40459i 0.985605 0.148556i
\(263\) 8.44064 + 14.6196i 0.520472 + 0.901484i 0.999717 + 0.0238029i \(0.00757741\pi\)
−0.479244 + 0.877681i \(0.659089\pi\)
\(264\) −13.1335 + 25.5768i −0.808308 + 1.57414i
\(265\) −2.54285 + 6.47907i −0.156206 + 0.398006i
\(266\) 0.888612 + 9.94205i 0.0544843 + 0.609586i
\(267\) 7.59194 + 16.8547i 0.464619 + 1.03149i
\(268\) −0.967790 + 1.21357i −0.0591172 + 0.0741306i
\(269\) 6.81404 4.64573i 0.415459 0.283255i −0.337496 0.941327i \(-0.609580\pi\)
0.752955 + 0.658072i \(0.228628\pi\)
\(270\) 7.36692 6.80879i 0.448337 0.414370i
\(271\) −22.5311 3.39602i −1.36867 0.206294i −0.576750 0.816921i \(-0.695679\pi\)
−0.791918 + 0.610627i \(0.790917\pi\)
\(272\) 7.22016 + 18.3967i 0.437786 + 1.11546i
\(273\) 2.31370 + 4.94591i 0.140031 + 0.299340i
\(274\) 8.74412 22.2796i 0.528251 1.34596i
\(275\) 7.31768 12.6746i 0.441272 0.764306i
\(276\) 5.77464 0.284434i 0.347592 0.0171209i
\(277\) 2.92529 7.45351i 0.175764 0.447838i −0.815659 0.578533i \(-0.803626\pi\)
0.991423 + 0.130695i \(0.0417207\pi\)
\(278\) 7.32286 6.79462i 0.439196 0.407514i
\(279\) −0.872321 + 0.730033i −0.0522245 + 0.0437059i
\(280\) 11.7479 + 3.44001i 0.702069 + 0.205580i
\(281\) −0.0413013 + 0.551128i −0.00246383 + 0.0328775i −0.998300 0.0582812i \(-0.981438\pi\)
0.995836 + 0.0911587i \(0.0290571\pi\)
\(282\) 5.72193 16.9938i 0.340736 1.01197i
\(283\) −3.66220 + 1.76362i −0.217695 + 0.104836i −0.539553 0.841952i \(-0.681407\pi\)
0.321858 + 0.946788i \(0.395693\pi\)
\(284\) 1.14559 + 5.01914i 0.0679780 + 0.297831i
\(285\) 0.973221 + 7.80729i 0.0576486 + 0.462464i
\(286\) 6.05003 + 5.61360i 0.357746 + 0.331939i
\(287\) −9.83472 6.50056i −0.580525 0.383716i
\(288\) 6.49025 + 1.32082i 0.382442 + 0.0778303i
\(289\) 23.8855 7.36771i 1.40503 0.433395i
\(290\) 14.2399 + 2.14633i 0.836198 + 0.126037i
\(291\) −0.642550 + 3.63027i −0.0376670 + 0.212810i
\(292\) 0.362178 4.83293i 0.0211949 0.282826i
\(293\) −10.7961 18.6994i −0.630717 1.09243i −0.987405 0.158210i \(-0.949428\pi\)
0.356689 0.934223i \(-0.383906\pi\)
\(294\) 8.68777 + 12.6581i 0.506681 + 0.738236i
\(295\) 2.87697 4.98307i 0.167504 0.290125i
\(296\) 9.34885 + 6.37394i 0.543391 + 0.370478i
\(297\) −25.6322 + 12.2823i −1.48733 + 0.712689i
\(298\) −1.31008 3.33803i −0.0758908 0.193367i
\(299\) 2.23181 9.77820i 0.129069 0.565488i
\(300\) −1.78064 0.454640i −0.102805 0.0262487i
\(301\) −1.75659 4.29362i −0.101248 0.247480i
\(302\) −28.4883 + 8.78748i −1.63932 + 0.505663i
\(303\) −16.2678 + 12.3057i −0.934559 + 0.706944i
\(304\) 6.66052 6.18006i 0.382007 0.354451i
\(305\) 0.560759 7.48280i 0.0321089 0.428464i
\(306\) −6.69836 + 23.6891i −0.382920 + 1.35422i
\(307\) 5.84428 2.81445i 0.333550 0.160629i −0.259610 0.965713i \(-0.583594\pi\)
0.593161 + 0.805084i \(0.297880\pi\)
\(308\) −4.78781 3.16465i −0.272811 0.180323i
\(309\) 2.61459 + 1.10415i 0.148739 + 0.0628126i
\(310\) 0.699481 + 0.215761i 0.0397279 + 0.0122544i
\(311\) 15.3338 + 19.2279i 0.869498 + 1.09032i 0.995162 + 0.0982435i \(0.0313224\pi\)
−0.125664 + 0.992073i \(0.540106\pi\)
\(312\) 2.86089 5.57144i 0.161966 0.315420i
\(313\) 20.3882 1.15241 0.576206 0.817305i \(-0.304533\pi\)
0.576206 + 0.817305i \(0.304533\pi\)
\(314\) 11.6238 + 14.5758i 0.655972 + 0.822562i
\(315\) 7.19154 + 9.73248i 0.405197 + 0.548363i
\(316\) 1.00086 1.25504i 0.0563027 0.0706014i
\(317\) 18.7258 23.4814i 1.05174 1.31885i 0.105847 0.994382i \(-0.466245\pi\)
0.945898 0.324464i \(-0.105184\pi\)
\(318\) 9.22390 + 3.89527i 0.517251 + 0.218436i
\(319\) −36.7620 17.7036i −2.05828 0.991214i
\(320\) −4.95445 12.6237i −0.276962 0.705688i
\(321\) −5.87058 13.0331i −0.327664 0.727439i
\(322\) 1.70387 28.1487i 0.0949530 1.56866i
\(323\) −12.0382 15.0955i −0.669825 0.839934i
\(324\) 2.35463 + 2.68216i 0.130813 + 0.149009i
\(325\) −1.59402 + 2.76093i −0.0884206 + 0.153149i
\(326\) −4.74419 + 12.0880i −0.262756 + 0.669492i
\(327\) −1.79603 6.39943i −0.0993206 0.353889i
\(328\) 1.01050 + 13.4842i 0.0557955 + 0.744539i
\(329\) 19.6213 + 9.10480i 1.08176 + 0.501964i
\(330\) 15.6012 + 9.54762i 0.858816 + 0.525579i
\(331\) −8.41961 10.5579i −0.462783 0.580312i 0.494604 0.869118i \(-0.335313\pi\)
−0.957388 + 0.288806i \(0.906742\pi\)
\(332\) 0.113931 1.52031i 0.00625280 0.0834378i
\(333\) 3.54866 + 10.6078i 0.194466 + 0.581302i
\(334\) −0.848415 11.3213i −0.0464232 0.619475i
\(335\) 4.37454 + 4.05898i 0.239006 + 0.221766i
\(336\) 4.26908 13.3070i 0.232897 0.725959i
\(337\) 24.7530 22.9674i 1.34838 1.25112i 0.407147 0.913363i \(-0.366524\pi\)
0.941235 0.337752i \(-0.109667\pi\)
\(338\) 10.7492 + 9.97384i 0.584681 + 0.542505i
\(339\) −0.798063 1.77176i −0.0433448 0.0962290i
\(340\) −3.74403 + 1.15488i −0.203049 + 0.0626322i
\(341\) −1.71365 1.16834i −0.0927991 0.0632693i
\(342\) 11.2634 1.11227i 0.609054 0.0601447i
\(343\) −16.3251 + 8.74594i −0.881472 + 0.472237i
\(344\) −2.66051 + 4.60813i −0.143445 + 0.248454i
\(345\) 0.568611 22.2205i 0.0306130 1.19631i
\(346\) −3.75457 + 16.4499i −0.201847 + 0.884350i
\(347\) −7.87963 + 9.88074i −0.423001 + 0.530426i −0.946975 0.321308i \(-0.895877\pi\)
0.523974 + 0.851734i \(0.324449\pi\)
\(348\) −0.892987 + 5.04518i −0.0478691 + 0.270450i
\(349\) 10.0298 + 3.09379i 0.536885 + 0.165607i 0.551328 0.834289i \(-0.314121\pi\)
−0.0144431 + 0.999896i \(0.504598\pi\)
\(350\) −3.15482 + 8.39024i −0.168632 + 0.448477i
\(351\) 5.58352 2.67547i 0.298026 0.142806i
\(352\) 0.902475 + 12.0427i 0.0481021 + 0.641878i
\(353\) 19.9958 18.5534i 1.06427 0.987496i 0.0643218 0.997929i \(-0.479512\pi\)
0.999946 + 0.0104334i \(0.00332111\pi\)
\(354\) −7.06022 4.32072i −0.375246 0.229644i
\(355\) 19.5715 2.94993i 1.03875 0.156566i
\(356\) 3.49698 + 2.38420i 0.185339 + 0.126362i
\(357\) −27.5205 11.1596i −1.45654 0.590630i
\(358\) 16.5842 11.3069i 0.876504 0.597590i
\(359\) 9.42862 8.74848i 0.497623 0.461727i −0.390983 0.920398i \(-0.627865\pi\)
0.888606 + 0.458671i \(0.151674\pi\)
\(360\) 3.77669 13.3565i 0.199049 0.703948i
\(361\) 5.06158 8.76692i 0.266399 0.461417i
\(362\) 6.16355 0.323949
\(363\) −21.6688 24.5859i −1.13732 1.29043i
\(364\) 1.04294 + 0.689363i 0.0546648 + 0.0361324i
\(365\) −18.4244 2.77704i −0.964379 0.145357i
\(366\) −10.7403 1.08179i −0.561405 0.0565459i
\(367\) −1.89345 25.2664i −0.0988375 1.31889i −0.797446 0.603391i \(-0.793816\pi\)
0.698608 0.715504i \(-0.253803\pi\)
\(368\) −21.2093 + 14.4603i −1.10561 + 0.753794i
\(369\) −7.26703 + 11.2195i −0.378307 + 0.584064i
\(370\) 4.48799 5.62776i 0.233319 0.292573i
\(371\) −5.88860 + 10.5458i −0.305721 + 0.547511i
\(372\) −0.0831061 + 0.246821i −0.00430885 + 0.0127971i
\(373\) 5.04996 8.74679i 0.261477 0.452891i −0.705158 0.709051i \(-0.749124\pi\)
0.966635 + 0.256159i \(0.0824571\pi\)
\(374\) −44.8867 −2.32103
\(375\) −6.46786 + 19.2092i −0.333999 + 0.991960i
\(376\) −5.52091 24.1887i −0.284719 1.24744i
\(377\) 8.00794 + 3.85642i 0.412430 + 0.198616i
\(378\) 14.2608 9.98392i 0.733497 0.513517i
\(379\) 9.12947 4.39652i 0.468949 0.225834i −0.184458 0.982840i \(-0.559053\pi\)
0.653408 + 0.757006i \(0.273339\pi\)
\(380\) 1.12313 + 1.40836i 0.0576154 + 0.0722474i
\(381\) −15.6811 9.59656i −0.803369 0.491647i
\(382\) −3.74270 16.3979i −0.191493 0.838987i
\(383\) −2.71990 + 1.85439i −0.138980 + 0.0947551i −0.630814 0.775934i \(-0.717279\pi\)
0.491834 + 0.870689i \(0.336327\pi\)
\(384\) −11.1480 + 4.04932i −0.568893 + 0.206641i
\(385\) −13.5082 + 17.4463i −0.688442 + 0.889145i
\(386\) −5.03765 22.0714i −0.256410 1.12340i
\(387\) −4.84979 + 2.03693i −0.246529 + 0.103543i
\(388\) 0.308382 + 0.785743i 0.0156557 + 0.0398901i
\(389\) −5.98947 + 1.84751i −0.303678 + 0.0936723i −0.442849 0.896596i \(-0.646032\pi\)
0.139171 + 0.990268i \(0.455556\pi\)
\(390\) −3.39843 2.07978i −0.172086 0.105314i
\(391\) 27.2742 + 47.2402i 1.37931 + 2.38904i
\(392\) 19.3956 + 8.66421i 0.979627 + 0.437609i
\(393\) 22.0414 1.08567i 1.11184 0.0547647i
\(394\) 10.4096 5.01301i 0.524429 0.252552i
\(395\) −4.52402 4.19767i −0.227628 0.211208i
\(396\) −3.53779 + 5.46197i −0.177781 + 0.274474i
\(397\) 16.0722 4.95762i 0.806640 0.248816i 0.136106 0.990694i \(-0.456541\pi\)
0.670534 + 0.741879i \(0.266065\pi\)
\(398\) −26.4249 8.15100i −1.32456 0.408573i
\(399\) −0.153479 + 13.6525i −0.00768358 + 0.683479i
\(400\) 7.79693 2.40503i 0.389847 0.120252i
\(401\) 2.49759 1.70283i 0.124724 0.0850351i −0.499351 0.866400i \(-0.666428\pi\)
0.624075 + 0.781364i \(0.285476\pi\)
\(402\) 5.99815 6.14160i 0.299161 0.306315i
\(403\) 0.373287 + 0.254503i 0.0185947 + 0.0126777i
\(404\) −1.70622 + 4.34737i −0.0848875 + 0.216290i
\(405\) 10.9594 8.25660i 0.544575 0.410274i
\(406\) 23.9835 + 7.02286i 1.19028 + 0.348539i
\(407\) −16.8512 + 11.4890i −0.835283 + 0.569487i
\(408\) 9.20423 + 32.7956i 0.455677 + 1.62362i
\(409\) −22.2523 27.9035i −1.10031 1.37974i −0.918038 0.396493i \(-0.870227\pi\)
−0.182269 0.983249i \(-0.558344\pi\)
\(410\) 8.60221 0.424833
\(411\) 14.9544 29.1229i 0.737645 1.43653i
\(412\) 0.642559 0.0968501i 0.0316566 0.00477146i
\(413\) 6.11306 7.89522i 0.300804 0.388499i
\(414\) −31.9342 1.63543i −1.56948 0.0803768i
\(415\) −5.79583 0.873581i −0.284506 0.0428824i
\(416\) −0.196588 2.62328i −0.00963852 0.128617i
\(417\) 10.8975 8.24335i 0.533651 0.403678i
\(418\) 7.53947 + 19.2103i 0.368768 + 0.939605i
\(419\) 1.21729 + 0.183477i 0.0594684 + 0.00896342i 0.178709 0.983902i \(-0.442808\pi\)
−0.119241 + 0.992865i \(0.538046\pi\)
\(420\) 2.56758 + 1.04116i 0.125285 + 0.0508034i
\(421\) −9.52200 + 1.43521i −0.464074 + 0.0699479i −0.376918 0.926247i \(-0.623016\pi\)
−0.0871561 + 0.996195i \(0.527778\pi\)
\(422\) 5.17480 + 8.96302i 0.251905 + 0.436313i
\(423\) 10.1168 22.3434i 0.491893 1.08637i
\(424\) 13.6994 2.06485i 0.665300 0.100278i
\(425\) −3.85825 16.9041i −0.187153 0.819970i
\(426\) −3.52203 28.2541i −0.170643 1.36892i
\(427\) 2.71525 12.7356i 0.131400 0.616317i
\(428\) −2.70409 1.84361i −0.130707 0.0891145i
\(429\) 7.46430 + 8.46917i 0.360380 + 0.408896i
\(430\) 2.79685 + 1.90686i 0.134876 + 0.0919571i
\(431\) 12.5147 + 3.86029i 0.602814 + 0.185943i 0.581115 0.813821i \(-0.302616\pi\)
0.0216984 + 0.999765i \(0.493093\pi\)
\(432\) −15.1331 4.70030i −0.728091 0.226144i
\(433\) −0.659222 + 2.88824i −0.0316802 + 0.138800i −0.988295 0.152556i \(-0.951249\pi\)
0.956615 + 0.291356i \(0.0941066\pi\)
\(434\) 1.15228 + 0.534687i 0.0553111 + 0.0256658i
\(435\) 19.0857 + 4.87303i 0.915088 + 0.233644i
\(436\) −1.11556 1.03509i −0.0534256 0.0495717i
\(437\) 15.6364 19.6074i 0.747989 0.937948i
\(438\) −4.67164 + 26.3938i −0.223220 + 1.26114i
\(439\) 12.2659 5.90692i 0.585417 0.281922i −0.117639 0.993056i \(-0.537533\pi\)
0.703056 + 0.711134i \(0.251818\pi\)
\(440\) 25.3082 1.20652
\(441\) 10.0885 + 18.4180i 0.480405 + 0.877047i
\(442\) 9.77776 0.465080
\(443\) 5.64493 2.71845i 0.268199 0.129158i −0.294952 0.955512i \(-0.595304\pi\)
0.563150 + 0.826355i \(0.309589\pi\)
\(444\) 1.96078 + 1.64746i 0.0930544 + 0.0781851i
\(445\) 10.1452 12.7217i 0.480930 0.603067i
\(446\) 22.9889 + 21.3306i 1.08855 + 1.01003i
\(447\) −1.32538 4.72248i −0.0626885 0.223366i
\(448\) −5.56522 22.8660i −0.262932 1.08032i
\(449\) 3.03417 13.2936i 0.143191 0.627363i −0.851491 0.524370i \(-0.824301\pi\)
0.994682 0.102993i \(-0.0328419\pi\)
\(450\) 9.54646 + 3.48870i 0.450025 + 0.164459i
\(451\) −23.2904 7.18413i −1.09670 0.338288i
\(452\) −0.367601 0.250626i −0.0172905 0.0117885i
\(453\) −39.9758 + 8.05422i −1.87823 + 0.378420i
\(454\) −27.3230 18.6285i −1.28233 0.874278i
\(455\) 2.94252 3.80036i 0.137947 0.178164i
\(456\) 12.4896 9.44773i 0.584880 0.442431i
\(457\) 1.94962 + 8.54182i 0.0911992 + 0.399570i 0.999838 0.0180138i \(-0.00573427\pi\)
−0.908639 + 0.417583i \(0.862877\pi\)
\(458\) 19.3471 2.91610i 0.904030 0.136261i
\(459\) −12.3634 + 31.3215i −0.577074 + 1.46196i
\(460\) −2.54460 4.40737i −0.118642 0.205495i
\(461\) 7.14913 1.07756i 0.332968 0.0501869i 0.0195694 0.999809i \(-0.493770\pi\)
0.313399 + 0.949622i \(0.398532\pi\)
\(462\) 24.5922 + 20.0680i 1.14413 + 0.933648i
\(463\) −15.0592 2.26980i −0.699858 0.105487i −0.210531 0.977587i \(-0.567519\pi\)
−0.489327 + 0.872100i \(0.662758\pi\)
\(464\) −8.31083 21.1757i −0.385821 0.983055i
\(465\) 0.922384 + 0.389525i 0.0427746 + 0.0180638i
\(466\) 1.33904 + 17.8683i 0.0620300 + 0.827733i
\(467\) 4.77673 + 0.719977i 0.221041 + 0.0333166i 0.258629 0.965977i \(-0.416729\pi\)
−0.0375879 + 0.999293i \(0.511967\pi\)
\(468\) 0.770644 1.18979i 0.0356230 0.0549981i
\(469\) 6.57225 + 8.00313i 0.303478 + 0.369550i
\(470\) −15.6074 + 2.35244i −0.719917 + 0.108510i
\(471\) 13.8215 + 21.4304i 0.636860 + 0.987461i
\(472\) −11.4531 −0.527171
\(473\) −5.97994 7.49860i −0.274958 0.344786i
\(474\) −6.20311 + 6.35146i −0.284918 + 0.291732i
\(475\) −6.58643 + 4.49055i −0.302206 + 0.206041i
\(476\) −6.70816 + 1.10971i −0.307468 + 0.0508635i
\(477\) 12.0193 + 6.56567i 0.550328 + 0.300622i
\(478\) −10.3144 + 26.2806i −0.471768 + 1.20205i
\(479\) −15.2382 10.3892i −0.696252 0.474696i 0.162751 0.986667i \(-0.447963\pi\)
−0.859003 + 0.511971i \(0.828916\pi\)
\(480\) −1.57536 5.61316i −0.0719050 0.256205i
\(481\) 3.67073 2.50266i 0.167371 0.114112i
\(482\) 22.1086 6.81960i 1.00702 0.310624i
\(483\) 6.17746 38.0754i 0.281084 1.73249i
\(484\) −7.17000 2.21165i −0.325909 0.100530i
\(485\) 3.10098 0.956526i 0.140808 0.0434336i
\(486\) −11.4704 16.0644i −0.520309 0.728695i
\(487\) −4.32713 4.01499i −0.196081 0.181936i 0.576022 0.817434i \(-0.304604\pi\)
−0.772103 + 0.635498i \(0.780795\pi\)
\(488\) −13.4569 + 6.48052i −0.609167 + 0.293360i
\(489\) −8.11361 + 15.8009i −0.366910 + 0.714539i
\(490\) 6.41853 11.8924i 0.289960 0.537244i
\(491\) 0.208841 + 0.361722i 0.00942484 + 0.0163243i 0.870699 0.491816i \(-0.163667\pi\)
−0.861275 + 0.508140i \(0.830333\pi\)
\(492\) −0.0782921 + 3.05955i −0.00352968 + 0.137935i
\(493\) −46.1923 + 14.2484i −2.08040 + 0.641718i
\(494\) −1.64234 4.18461i −0.0738923 0.188274i
\(495\) 19.9237 + 15.1324i 0.895502 + 0.680152i
\(496\) −0.257302 1.12731i −0.0115532 0.0506179i
\(497\) 34.3438 0.492608i 1.54053 0.0220965i
\(498\) −1.46957 + 8.30277i −0.0658531 + 0.372056i
\(499\) −14.1315 + 9.63472i −0.632615 + 0.431309i −0.836714 0.547641i \(-0.815526\pi\)
0.204099 + 0.978950i \(0.434574\pi\)
\(500\) 1.03265 + 4.52433i 0.0461815 + 0.202334i
\(501\) 0.397252 15.5241i 0.0177479 0.693564i
\(502\) 10.7869 + 13.5263i 0.481441 + 0.603708i
\(503\) −7.76262 + 3.73828i −0.346118 + 0.166682i −0.598863 0.800851i \(-0.704381\pi\)
0.252745 + 0.967533i \(0.418667\pi\)
\(504\) 9.61956 22.0829i 0.428489 0.983650i
\(505\) 16.1767 + 7.79031i 0.719856 + 0.346664i
\(506\) −12.9736 56.8412i −0.576748 2.52690i
\(507\) 13.2620 + 15.0474i 0.588986 + 0.668279i
\(508\) −4.20926 −0.186756
\(509\) −20.0898 + 34.7966i −0.890466 + 1.54233i −0.0511478 + 0.998691i \(0.516288\pi\)
−0.839318 + 0.543641i \(0.817045\pi\)
\(510\) 21.2427 4.27991i 0.940640 0.189518i
\(511\) −31.0312 9.08657i −1.37274 0.401966i
\(512\) −15.7382 + 19.7350i −0.695536 + 0.872174i
\(513\) 15.4814 + 0.0302156i 0.683520 + 0.00133405i
\(514\) −14.3349 + 9.77339i −0.632287 + 0.431086i
\(515\) −0.186695 2.49127i −0.00822675 0.109778i
\(516\) −0.703669 + 0.977402i −0.0309773 + 0.0430277i
\(517\) 44.2216 + 6.66533i 1.94486 + 0.293141i
\(518\) 9.03409 8.62680i 0.396935 0.379040i
\(519\) −7.36471 + 21.8728i −0.323275 + 0.960110i
\(520\) −5.51293 −0.241758
\(521\) −3.93086 + 6.80845i −0.172214 + 0.298284i −0.939194 0.343388i \(-0.888425\pi\)
0.766980 + 0.641672i \(0.221759\pi\)
\(522\) 7.71021 27.2676i 0.337467 1.19347i
\(523\) −5.28466 + 4.90345i −0.231082 + 0.214413i −0.787212 0.616683i \(-0.788476\pi\)
0.556130 + 0.831095i \(0.312286\pi\)
\(524\) 4.17469 2.84625i 0.182372 0.124339i
\(525\) −5.44368 + 10.9863i −0.237582 + 0.479480i
\(526\) −17.6619 12.0417i −0.770094 0.525041i
\(527\) −2.42971 + 0.366219i −0.105840 + 0.0159528i
\(528\) 0.739113 28.8835i 0.0321658 1.25699i
\(529\) −35.0783 + 32.5479i −1.52514 + 1.41513i
\(530\) −0.658633 8.78884i −0.0286092 0.381763i
\(531\) −9.01635 6.84810i −0.391276 0.297182i
\(532\) 1.60167 + 2.68451i 0.0694414 + 0.116388i
\(533\) 5.07339 + 1.56493i 0.219753 + 0.0677848i
\(534\) −17.9216 15.0579i −0.775544 0.651619i
\(535\) −7.84494 + 9.83725i −0.339166 + 0.425301i
\(536\) 2.64317 11.5805i 0.114167 0.500200i
\(537\) 24.1203 13.1149i 1.04087 0.565948i
\(538\) −5.22150 + 9.04390i −0.225115 + 0.389910i
\(539\) −27.3101 + 26.8381i −1.17633 + 1.15600i
\(540\) 1.15347 2.92221i 0.0496374 0.125752i
\(541\) 20.3687 + 13.8871i 0.875719 + 0.597055i 0.915574 0.402151i \(-0.131737\pi\)
−0.0398549 + 0.999205i \(0.512690\pi\)
\(542\) 27.5709 8.50449i 1.18427 0.365299i
\(543\) 8.38829 + 0.844888i 0.359976 + 0.0362576i
\(544\) 10.4880 + 9.73141i 0.449668 + 0.417231i
\(545\) −4.28882 + 3.97944i −0.183713 + 0.170461i
\(546\) −5.35697 4.37146i −0.229257 0.187081i
\(547\) 16.4910 + 15.3014i 0.705105 + 0.654242i 0.948897 0.315586i \(-0.102201\pi\)
−0.243792 + 0.969828i \(0.578391\pi\)
\(548\) −0.560145 7.47461i −0.0239282 0.319300i
\(549\) −14.4687 2.94452i −0.617511 0.125669i
\(550\) −1.38492 + 18.4805i −0.0590532 + 0.788010i
\(551\) 13.8567 + 17.3758i 0.590316 + 0.740233i
\(552\) −38.8696 + 21.1345i −1.65440 + 0.899544i
\(553\) −6.79683 8.27660i −0.289031 0.351957i
\(554\) 0.757690 + 10.1107i 0.0321912 + 0.429561i
\(555\) 6.87938 7.04391i 0.292014 0.298997i
\(556\) 1.14296 2.91222i 0.0484723 0.123506i
\(557\) −20.4867 + 35.4839i −0.868047 + 1.50350i −0.00405823 + 0.999992i \(0.501292\pi\)
−0.863989 + 0.503510i \(0.832042\pi\)
\(558\) 0.594115 1.31214i 0.0251509 0.0555472i
\(559\) 1.30262 + 1.63344i 0.0550950 + 0.0690870i
\(560\) −12.1364 + 2.00768i −0.512856 + 0.0848401i
\(561\) −61.0886 6.15298i −2.57916 0.259779i
\(562\) −0.255678 0.651456i −0.0107851 0.0274800i
\(563\) −25.7600 12.4053i −1.08565 0.522823i −0.196533 0.980497i \(-0.562968\pi\)
−0.889120 + 0.457674i \(0.848683\pi\)
\(564\) −0.694643 5.57250i −0.0292497 0.234645i
\(565\) −1.06646 + 1.33730i −0.0448665 + 0.0562608i
\(566\) 3.20913 4.02412i 0.134890 0.169146i
\(567\) 20.7769 11.6328i 0.872546 0.488531i
\(568\) −24.5634 30.8015i −1.03066 1.29240i
\(569\) −15.1893 −0.636770 −0.318385 0.947962i \(-0.603140\pi\)
−0.318385 + 0.947962i \(0.603140\pi\)
\(570\) −5.39974 8.37239i −0.226170 0.350681i
\(571\) −10.4823 13.1444i −0.438672 0.550077i 0.512521 0.858675i \(-0.328712\pi\)
−0.951193 + 0.308598i \(0.900140\pi\)
\(572\) 2.46987 + 0.761853i 0.103270 + 0.0318547i
\(573\) −2.84585 22.8297i −0.118887 0.953726i
\(574\) 14.7916 + 2.01296i 0.617390 + 0.0840194i
\(575\) 20.2910 9.77161i 0.846192 0.407504i
\(576\) −25.8679 + 6.55095i −1.07783 + 0.272956i
\(577\) 1.10635 14.7632i 0.0460580 0.614601i −0.925645 0.378394i \(-0.876477\pi\)
0.971703 0.236207i \(-0.0759044\pi\)
\(578\) −23.2023 + 21.5286i −0.965090 + 0.895472i
\(579\) −3.83050 30.7287i −0.159190 1.27704i
\(580\) 4.30960 1.32934i 0.178947 0.0551977i
\(581\) −9.76159 2.85839i −0.404979 0.118586i
\(582\) −1.26145 4.49469i −0.0522889 0.186311i
\(583\) −5.55676 + 24.3458i −0.230138 + 1.00830i
\(584\) 13.5496 + 34.5238i 0.560687 + 1.42861i
\(585\) −4.34001 3.29633i −0.179437 0.136286i
\(586\) 22.5907 + 15.4021i 0.933213 + 0.636254i
\(587\) −20.5965 + 35.6741i −0.850108 + 1.47243i 0.0310028 + 0.999519i \(0.490130\pi\)
−0.881111 + 0.472910i \(0.843203\pi\)
\(588\) 4.17135 + 2.39112i 0.172024 + 0.0986080i
\(589\) 0.564842 + 0.978335i 0.0232739 + 0.0403116i
\(590\) −0.544487 + 7.26567i −0.0224162 + 0.299123i
\(591\) 14.8542 5.39554i 0.611019 0.221943i
\(592\) −11.2436 1.69470i −0.462108 0.0696516i
\(593\) 16.4893 5.08627i 0.677134 0.208868i 0.0629329 0.998018i \(-0.479955\pi\)
0.614201 + 0.789150i \(0.289478\pi\)
\(594\) 22.4950 28.0951i 0.922980 1.15276i
\(595\) 2.32713 + 26.0366i 0.0954029 + 1.06740i
\(596\) −0.823230 0.763845i −0.0337208 0.0312883i
\(597\) −34.8457 14.7154i −1.42614 0.602261i
\(598\) 2.82607 + 12.3818i 0.115567 + 0.506331i
\(599\) 40.2601 19.3882i 1.64498 0.792182i 0.645383 0.763859i \(-0.276698\pi\)
0.999599 0.0283227i \(-0.00901661\pi\)
\(600\) 13.7864 2.77765i 0.562827 0.113397i
\(601\) −2.96314 + 39.5403i −0.120869 + 1.61288i 0.526137 + 0.850400i \(0.323640\pi\)
−0.647006 + 0.762485i \(0.723979\pi\)
\(602\) 4.36301 + 3.93336i 0.177823 + 0.160312i
\(603\) 9.00508 7.53621i 0.366715 0.306898i
\(604\) −6.84424 + 6.35052i −0.278488 + 0.258399i
\(605\) −10.5390 + 26.8529i −0.428471 + 1.09173i
\(606\) 11.7985 22.9769i 0.479280 0.933373i
\(607\) 2.74166 4.74870i 0.111281 0.192744i −0.805006 0.593266i \(-0.797838\pi\)
0.916287 + 0.400523i \(0.131171\pi\)
\(608\) 2.40314 6.12311i 0.0974604 0.248325i
\(609\) 31.6778 + 12.8454i 1.28365 + 0.520522i
\(610\) 3.47140 + 8.84498i 0.140553 + 0.358123i
\(611\) −9.63287 1.45192i −0.389704 0.0587385i
\(612\) 1.32890 + 7.59432i 0.0537175 + 0.306982i
\(613\) −2.06033 + 1.40471i −0.0832160 + 0.0567357i −0.604213 0.796823i \(-0.706513\pi\)
0.520997 + 0.853558i \(0.325560\pi\)
\(614\) −5.12125 + 6.42185i −0.206677 + 0.259165i
\(615\) 11.7072 + 1.17917i 0.472080 + 0.0475489i
\(616\) 43.5178 + 5.92225i 1.75338 + 0.238614i
\(617\) 14.2037 36.1905i 0.571820 1.45697i −0.293601 0.955928i \(-0.594854\pi\)
0.865421 0.501046i \(-0.167051\pi\)
\(618\) −3.58953 + 0.176805i −0.144392 + 0.00711215i
\(619\) 4.05170 + 7.01776i 0.162852 + 0.282067i 0.935890 0.352292i \(-0.114597\pi\)
−0.773039 + 0.634359i \(0.781264\pi\)
\(620\) 0.226684 0.0341672i 0.00910386 0.00137219i
\(621\) −43.2367 6.60321i −1.73503 0.264978i
\(622\) −28.0579 13.5120i −1.12502 0.541781i
\(623\) 20.4218 19.5011i 0.818183 0.781296i
\(624\) −0.161003 + 6.29176i −0.00644526 + 0.251872i
\(625\) 4.41366 0.665253i 0.176546 0.0266101i
\(626\) −23.2603 + 11.2016i −0.929669 + 0.447705i
\(627\) 7.62755 + 27.1777i 0.304615 + 1.08537i
\(628\) 5.26038 + 2.53327i 0.209912 + 0.101088i
\(629\) −5.37667 + 23.5567i −0.214382 + 0.939268i
\(630\) −13.5518 7.15235i −0.539915 0.284956i
\(631\) −5.51608 24.1675i −0.219592 0.962094i −0.957781 0.287500i \(-0.907176\pi\)
0.738189 0.674594i \(-0.235681\pi\)
\(632\) −2.73348 + 11.9762i −0.108732 + 0.476387i
\(633\) 5.81402 + 12.9076i 0.231087 + 0.513031i
\(634\) −8.46267 + 37.0774i −0.336096 + 1.47253i
\(635\) −1.20934 + 16.1375i −0.0479910 + 0.640396i
\(636\) 3.13192 0.154265i 0.124189 0.00611701i
\(637\) 5.94901 5.84621i 0.235708 0.231635i
\(638\) 51.6672 2.04553
\(639\) −0.920295 38.9353i −0.0364063 1.54026i
\(640\) 7.65315 + 7.10108i 0.302517 + 0.280695i
\(641\) −4.96634 0.748556i −0.196159 0.0295662i 0.0502280 0.998738i \(-0.484005\pi\)
−0.246387 + 0.969172i \(0.579243\pi\)
\(642\) 13.8581 + 11.6437i 0.546937 + 0.459542i
\(643\) 8.68180 8.05553i 0.342377 0.317679i −0.490178 0.871623i \(-0.663068\pi\)
0.832554 + 0.553943i \(0.186878\pi\)
\(644\) −3.34412 8.17398i −0.131777 0.322100i
\(645\) 3.54500 + 2.97854i 0.139584 + 0.117280i
\(646\) 22.0277 + 10.6080i 0.866668 + 0.417365i
\(647\) −2.69583 0.831554i −0.105984 0.0326918i 0.241310 0.970448i \(-0.422423\pi\)
−0.347294 + 0.937756i \(0.612899\pi\)
\(648\) −25.1399 10.6745i −0.987588 0.419333i
\(649\) 7.54212 19.2170i 0.296054 0.754333i
\(650\) 0.301680 4.02564i 0.0118329 0.157898i
\(651\) 1.49490 + 0.885636i 0.0585898 + 0.0347108i
\(652\) 0.303911 + 4.05541i 0.0119021 + 0.158822i
\(653\) −6.89385 2.12647i −0.269777 0.0832153i 0.156915 0.987612i \(-0.449845\pi\)
−0.426692 + 0.904397i \(0.640321\pi\)
\(654\) 5.56497 + 6.31415i 0.217607 + 0.246903i
\(655\) −9.71257 16.8227i −0.379501 0.657316i
\(656\) −6.79422 11.7679i −0.265270 0.459461i
\(657\) −9.97589 + 35.2803i −0.389197 + 1.37642i
\(658\) −27.3877 + 0.392833i −1.06768 + 0.0153142i
\(659\) 15.4289 + 39.3123i 0.601026 + 1.53139i 0.829888 + 0.557929i \(0.188404\pi\)
−0.228863 + 0.973459i \(0.573501\pi\)
\(660\) 5.69938 + 0.574055i 0.221848 + 0.0223450i
\(661\) 31.3014 + 15.0740i 1.21748 + 0.586309i 0.928610 0.371058i \(-0.121005\pi\)
0.288874 + 0.957367i \(0.406719\pi\)
\(662\) 15.4063 + 7.41928i 0.598783 + 0.288358i
\(663\) 13.3071 + 1.34032i 0.516803 + 0.0520536i
\(664\) 4.26234 + 10.8603i 0.165411 + 0.421460i
\(665\) 10.7521 5.36923i 0.416947 0.208210i
\(666\) −9.87661 10.1524i −0.382711 0.393397i
\(667\) −31.3942 54.3763i −1.21559 2.10546i
\(668\) −1.77775 3.07915i −0.0687831 0.119136i
\(669\) 28.3628 + 32.1811i 1.09657 + 1.24420i
\(670\) −7.22083 2.22733i −0.278965 0.0860493i
\(671\) −2.01189 26.8468i −0.0776683 1.03641i
\(672\) −1.39534 10.0206i −0.0538265 0.386551i
\(673\) 1.86204 24.8472i 0.0717763 0.957788i −0.838798 0.544443i \(-0.816741\pi\)
0.910574 0.413345i \(-0.135640\pi\)
\(674\) −15.6213 + 39.8024i −0.601710 + 1.53313i
\(675\) 12.5141 + 6.05657i 0.481666 + 0.233117i
\(676\) 4.38828 + 1.35360i 0.168780 + 0.0520617i
\(677\) 8.01045 + 3.85763i 0.307867 + 0.148261i 0.581437 0.813591i \(-0.302491\pi\)
−0.273571 + 0.961852i \(0.588205\pi\)
\(678\) 1.88392 + 1.58288i 0.0723513 + 0.0607902i
\(679\) 5.55601 0.919114i 0.213220 0.0352723i
\(680\) 21.9792 20.3937i 0.842865 0.782064i
\(681\) −34.6317 29.0979i −1.32709 1.11503i
\(682\) 2.59695 + 0.391427i 0.0994422 + 0.0149885i
\(683\) 19.4581 + 18.0545i 0.744545 + 0.690837i 0.958209 0.286070i \(-0.0923491\pi\)
−0.213663 + 0.976907i \(0.568540\pi\)
\(684\) 3.02695 1.84433i 0.115738 0.0705196i
\(685\) −28.8171 −1.10104
\(686\) 13.8196 18.9472i 0.527636 0.723407i
\(687\) 26.7302 1.31662i 1.01982 0.0502320i
\(688\) 0.399594 5.33222i 0.0152344 0.203289i
\(689\) 1.21044 5.30329i 0.0461141 0.202039i
\(690\) 11.5595 + 25.6631i 0.440064 + 0.976978i
\(691\) −8.45572 + 37.0469i −0.321671 + 1.40933i 0.512909 + 0.858443i \(0.328568\pi\)
−0.834579 + 0.550888i \(0.814289\pi\)
\(692\) 1.17584 + 5.15169i 0.0446987 + 0.195838i
\(693\) 30.7179 + 30.6827i 1.16688 + 1.16554i
\(694\) 3.56101 15.6018i 0.135174 0.592236i
\(695\) −10.8365 5.21858i −0.411051 0.197952i
\(696\) −10.5946 37.7497i −0.401588 1.43090i
\(697\) −26.0159 + 12.5286i −0.985424 + 0.474555i
\(698\) −13.1425 + 1.98091i −0.497451 + 0.0749786i
\(699\) −0.626979 + 24.5015i −0.0237145 + 0.926731i
\(700\) 0.249911 + 2.79608i 0.00944576 + 0.105682i
\(701\) −14.4285 6.94838i −0.544955 0.262437i 0.141088 0.989997i \(-0.454940\pi\)
−0.686044 + 0.727560i \(0.740654\pi\)
\(702\) −4.90012 + 6.12002i −0.184943 + 0.230985i
\(703\) 10.9847 1.65568i 0.414297 0.0624452i
\(704\) −24.3274 42.1363i −0.916873 1.58807i
\(705\) −21.5634 + 1.06212i −0.812125 + 0.0400018i
\(706\) −12.6191 + 32.1529i −0.474925 + 1.21009i
\(707\) 25.9932 + 17.1810i 0.977574 + 0.646158i
\(708\) −2.57922 0.259785i −0.0969332 0.00976333i
\(709\) −7.79367 + 9.77295i −0.292697 + 0.367031i −0.906337 0.422555i \(-0.861133\pi\)
0.613640 + 0.789586i \(0.289705\pi\)
\(710\) −20.7078 + 14.1183i −0.777149 + 0.529852i
\(711\) −9.31278 + 7.79373i −0.349257 + 0.292288i
\(712\) −32.0266 4.82723i −1.20025 0.180908i
\(713\) −1.16601 2.97095i −0.0436675 0.111263i
\(714\) 37.5286 2.38847i 1.40447 0.0893863i
\(715\) 3.63039 9.25009i 0.135769 0.345934i
\(716\) 3.14302 5.44387i 0.117460 0.203447i
\(717\) −17.6398 + 34.3527i −0.658772 + 1.28293i
\(718\) −5.95028 + 15.1611i −0.222063 + 0.565806i
\(719\) 20.3530 18.8848i 0.759039 0.704285i −0.202400 0.979303i \(-0.564874\pi\)
0.961439 + 0.275017i \(0.0886836\pi\)
\(720\) 2.40424 + 13.7396i 0.0896006 + 0.512046i
\(721\) 0.261946 4.32746i 0.00975537 0.161163i
\(722\) −0.957938 + 12.7828i −0.0356508 + 0.475727i
\(723\) 31.0235 6.25054i 1.15378 0.232460i
\(724\) 1.73911 0.837513i 0.0646336 0.0311259i
\(725\) 4.44108 + 19.4576i 0.164937 + 0.722638i
\(726\) 38.2291 + 16.1442i 1.41881 + 0.599168i
\(727\) −16.6580 15.4564i −0.617813 0.573246i 0.307926 0.951410i \(-0.400365\pi\)
−0.925739 + 0.378164i \(0.876556\pi\)
\(728\) −9.47956 1.29006i −0.351336 0.0478126i
\(729\) −13.4086 23.4352i −0.496616 0.867971i
\(730\) 22.5456 6.95440i 0.834450 0.257394i
\(731\) −11.2358 1.69353i −0.415573 0.0626375i
\(732\) −3.17749 + 1.15417i −0.117443 + 0.0426594i
\(733\) −2.20118 + 29.3727i −0.0813026 + 1.08491i 0.796104 + 0.605160i \(0.206891\pi\)
−0.877407 + 0.479747i \(0.840728\pi\)
\(734\) 16.0419 + 27.7853i 0.592116 + 1.02558i
\(735\) 10.3655 15.3052i 0.382337 0.564539i
\(736\) −9.29179 + 16.0939i −0.342500 + 0.593228i
\(737\) 17.6902 + 12.0609i 0.651625 + 0.444271i
\(738\) 2.12658 16.7926i 0.0782806 0.618144i
\(739\) −15.1549 38.6140i −0.557482 1.42044i −0.880499 0.474048i \(-0.842792\pi\)
0.323017 0.946393i \(-0.395303\pi\)
\(740\) 0.501627 2.19777i 0.0184402 0.0807916i
\(741\) −1.66153 5.92018i −0.0610377 0.217483i
\(742\) 0.924108 15.2667i 0.0339251 0.560457i
\(743\) −38.5379 + 11.8874i −1.41382 + 0.436105i −0.905236 0.424908i \(-0.860306\pi\)
−0.508582 + 0.861014i \(0.669830\pi\)
\(744\) −0.246528 1.97768i −0.00903816 0.0725051i
\(745\) −3.16495 + 2.93664i −0.115955 + 0.107590i
\(746\) −0.955739 + 12.7534i −0.0349921 + 0.466937i
\(747\) −3.13815 + 11.0982i −0.114819 + 0.406063i
\(748\) −12.6653 + 6.09927i −0.463088 + 0.223011i
\(749\) −15.7915 + 15.0795i −0.577007 + 0.550994i
\(750\) −3.17482 25.4687i −0.115928 0.929986i
\(751\) −15.7470 4.85731i −0.574617 0.177246i −0.00619169 0.999981i \(-0.501971\pi\)
−0.568425 + 0.822735i \(0.692447\pi\)
\(752\) 15.5453 + 19.4932i 0.566878 + 0.710842i
\(753\) 12.8262 + 19.8873i 0.467414 + 0.724733i
\(754\) −11.2548 −0.409875
\(755\) 22.3803 + 28.0640i 0.814501 + 1.02135i
\(756\) 2.66722 4.75485i 0.0970057 0.172932i
\(757\) 7.64345 9.58459i 0.277806 0.348358i −0.623279 0.781999i \(-0.714200\pi\)
0.901086 + 0.433641i \(0.142772\pi\)
\(758\) −8.00002 + 10.0317i −0.290574 + 0.364368i
\(759\) −9.86481 79.1365i −0.358070 2.87247i
\(760\) −12.4197 5.98103i −0.450511 0.216955i
\(761\) 3.71947 + 9.47705i 0.134831 + 0.343543i 0.982304 0.187296i \(-0.0599723\pi\)
−0.847473 + 0.530839i \(0.821877\pi\)
\(762\) 23.1626 + 2.33299i 0.839092 + 0.0845153i
\(763\) −8.30590 + 5.83910i −0.300694 + 0.211390i
\(764\) −3.28421 4.11827i −0.118819 0.148994i
\(765\) 29.4969 2.91285i 1.06646 0.105314i
\(766\) 2.08422 3.60997i 0.0753058 0.130433i
\(767\) −1.64291 + 4.18608i −0.0593222 + 0.151151i
\(768\) −11.0352 + 11.2992i −0.398200 + 0.407723i
\(769\) −0.715247 9.54430i −0.0257925 0.344176i −0.995139 0.0984792i \(-0.968602\pi\)
0.969347 0.245697i \(-0.0790169\pi\)
\(770\) 5.82585 27.3255i 0.209949 0.984743i
\(771\) −20.8489 + 11.3361i −0.750854 + 0.408260i
\(772\) −4.42052 5.54316i −0.159098 0.199503i
\(773\)