Properties

Label 605.2.s.b.16.18
Level $605$
Weight $2$
Character 605.16
Analytic conductor $4.831$
Analytic rank $0$
Dimension $880$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 605 = 5 \cdot 11^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 605.s (of order \(55\), degree \(40\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.83094932229\)
Analytic rank: \(0\)
Dimension: \(880\)
Relative dimension: \(22\) over \(\Q(\zeta_{55})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{55}]$

Embedding invariants

Embedding label 16.18
Character \(\chi\) \(=\) 605.16
Dual form 605.2.s.b.416.18

$q$-expansion

\(f(q)\) \(=\) \(q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +O(q^{10})\) \(q+(2.04825 + 0.235014i) q^{2} +(1.13699 + 0.826074i) q^{3} +(2.19205 + 0.509740i) q^{4} +(-0.564443 + 0.825472i) q^{5} +(2.13470 + 1.95921i) q^{6} +(3.19973 + 3.29244i) q^{7} +(0.486498 + 0.173582i) q^{8} +(-0.316695 - 0.974688i) q^{9} +(-1.35012 + 1.55812i) q^{10} +(-1.40507 - 3.00430i) q^{11} +(2.07127 + 2.39037i) q^{12} +(-3.49573 + 5.79701i) q^{13} +(5.78005 + 7.49571i) q^{14} +(-1.32367 + 0.472284i) q^{15} +(-3.08359 - 1.51610i) q^{16} +(2.89622 - 2.36822i) q^{17} +(-0.419604 - 2.07083i) q^{18} +(2.45571 + 0.140422i) q^{19} +(-1.65807 + 1.52176i) q^{20} +(0.918268 + 6.38669i) q^{21} +(-2.17187 - 6.48375i) q^{22} +(1.22551 - 8.52363i) q^{23} +(0.409753 + 0.599245i) q^{24} +(-0.362808 - 0.931864i) q^{25} +(-8.52249 + 11.0522i) q^{26} +(1.74796 - 5.37968i) q^{27} +(5.33568 + 8.84824i) q^{28} +(0.459460 - 1.18011i) q^{29} +(-2.82219 + 0.656273i) q^{30} +(6.48495 + 2.74056i) q^{31} +(-6.82873 - 4.38856i) q^{32} +(0.884220 - 4.57655i) q^{33} +(6.48873 - 4.17005i) q^{34} +(-4.52388 + 0.782888i) q^{35} +(-0.197376 - 2.29800i) q^{36} +(0.343037 - 3.99391i) q^{37} +(4.99689 + 0.864746i) q^{38} +(-8.76338 + 3.70343i) q^{39} +(-0.417888 + 0.303613i) q^{40} +(-10.3687 + 5.85550i) q^{41} +(0.379874 + 13.2973i) q^{42} +(-0.574218 + 0.168606i) q^{43} +(-1.54857 - 7.30180i) q^{44} +(0.983335 + 0.288733i) q^{45} +(4.51332 - 17.1705i) q^{46} +(-0.685099 + 3.38110i) q^{47} +(-2.25361 - 4.27107i) q^{48} +(-0.402024 + 14.0727i) q^{49} +(-0.524118 - 1.99395i) q^{50} +(5.24931 - 0.300166i) q^{51} +(-10.6178 + 10.9255i) q^{52} +(6.30332 - 3.09913i) q^{53} +(4.84456 - 10.6081i) q^{54} +(3.27304 + 0.535912i) q^{55} +(0.985151 + 2.15718i) q^{56} +(2.67612 + 2.18826i) q^{57} +(1.21843 - 2.30918i) q^{58} +(2.89785 + 1.63649i) q^{59} +(-3.14230 + 0.360545i) q^{60} +(-3.74864 + 0.430117i) q^{61} +(12.6387 + 7.13740i) q^{62} +(2.19576 - 4.16144i) q^{63} +(-7.63541 - 6.24344i) q^{64} +(-2.81213 - 6.15771i) q^{65} +(2.88666 - 9.16610i) q^{66} +(-2.60973 + 5.71450i) q^{67} +(7.55584 - 3.71496i) q^{68} +(8.43455 - 8.67894i) q^{69} +(-9.45001 + 0.540371i) q^{70} +(-2.30565 - 8.77160i) q^{71} +(0.0151168 - 0.529157i) q^{72} +(2.88091 + 5.45993i) q^{73} +(1.64125 - 8.09989i) q^{74} +(0.357279 - 1.35923i) q^{75} +(5.31147 + 1.55959i) q^{76} +(5.39564 - 14.2390i) q^{77} +(-18.8199 + 5.52602i) q^{78} +(-0.137885 - 4.82662i) q^{79} +(2.99201 - 1.68967i) q^{80} +(3.94407 - 2.86554i) q^{81} +(-22.6139 + 9.55670i) q^{82} +(-8.20460 - 1.41986i) q^{83} +(-1.24266 + 14.4681i) q^{84} +(0.320153 + 3.72747i) q^{85} +(-1.21576 + 0.210396i) q^{86} +(1.49726 - 0.962232i) q^{87} +(-0.162069 - 1.70548i) q^{88} +(-1.01469 - 0.652099i) q^{89} +(1.94625 + 0.822494i) q^{90} +(-30.2717 + 7.03938i) q^{91} +(7.03123 - 18.0596i) q^{92} +(5.10944 + 8.47305i) q^{93} +(-2.19786 + 6.76431i) q^{94} +(-1.50202 + 1.94786i) q^{95} +(-4.13894 - 10.6308i) q^{96} +(-3.18774 - 4.66192i) q^{97} +(-4.13072 + 28.7298i) q^{98} +(-2.48327 + 2.32095i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} + O(q^{10}) \) \( 880q + 4q^{2} - q^{3} + 24q^{4} + 22q^{5} - 13q^{6} + 3q^{7} + 2q^{8} - 217q^{9} - 6q^{10} + 5q^{11} - 5q^{12} - 26q^{13} - 108q^{14} - 12q^{15} + 34q^{16} - q^{17} - 14q^{18} + q^{19} + 19q^{20} - 10q^{21} + 275q^{22} - 51q^{23} + 283q^{24} + 22q^{25} - 16q^{27} - 4q^{28} - 19q^{29} + q^{30} - 34q^{31} - 122q^{32} + 19q^{33} + 52q^{34} + 8q^{35} - 21q^{36} - 109q^{37} - 10q^{38} - 9q^{39} - 64q^{40} + 4q^{41} - 49q^{42} - 97q^{43} + 17q^{44} - 80q^{45} - 91q^{46} + 166q^{47} - 159q^{48} + 175q^{49} + 4q^{50} - 112q^{51} - 128q^{52} - 141q^{53} - 37q^{54} - 5q^{55} + 79q^{56} - 204q^{57} - 190q^{58} + 9q^{59} - 22q^{60} + 2q^{61} - 105q^{62} - q^{63} - 176q^{64} - 14q^{65} - 112q^{66} - 13q^{67} - 35q^{68} - 53q^{69} + 24q^{70} - 50q^{71} + 705q^{72} + q^{73} + 40q^{74} - q^{75} - 148q^{76} - 104q^{77} - 187q^{78} - 83q^{79} - q^{80} - 238q^{81} - 54q^{82} - 151q^{83} + 4q^{84} - 29q^{85} - 39q^{86} - 74q^{87} - 143q^{88} - 52q^{89} - 28q^{90} - 188q^{91} - 253q^{92} + 122q^{93} - 187q^{94} + 122q^{95} - 155q^{96} + 283q^{97} - 92q^{98} + 172q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).

\(n\) \(122\) \(486\)
\(\chi(n)\) \(1\) \(e\left(\frac{2}{55}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.04825 + 0.235014i 1.44833 + 0.166180i 0.802203 0.597051i \(-0.203661\pi\)
0.646125 + 0.763231i \(0.276388\pi\)
\(3\) 1.13699 + 0.826074i 0.656443 + 0.476934i 0.865460 0.500978i \(-0.167026\pi\)
−0.209017 + 0.977912i \(0.567026\pi\)
\(4\) 2.19205 + 0.509740i 1.09603 + 0.254870i
\(5\) −0.564443 + 0.825472i −0.252427 + 0.369162i
\(6\) 2.13470 + 1.95921i 0.871489 + 0.799845i
\(7\) 3.19973 + 3.29244i 1.20938 + 1.24443i 0.961243 + 0.275701i \(0.0889099\pi\)
0.248139 + 0.968724i \(0.420181\pi\)
\(8\) 0.486498 + 0.173582i 0.172003 + 0.0613705i
\(9\) −0.316695 0.974688i −0.105565 0.324896i
\(10\) −1.35012 + 1.55812i −0.426944 + 0.492720i
\(11\) −1.40507 3.00430i −0.423643 0.905829i
\(12\) 2.07127 + 2.39037i 0.597923 + 0.690040i
\(13\) −3.49573 + 5.79701i −0.969540 + 1.60780i −0.189682 + 0.981846i \(0.560746\pi\)
−0.779858 + 0.625956i \(0.784709\pi\)
\(14\) 5.78005 + 7.49571i 1.54478 + 2.00331i
\(15\) −1.32367 + 0.472284i −0.341770 + 0.121943i
\(16\) −3.08359 1.51610i −0.770898 0.379025i
\(17\) 2.89622 2.36822i 0.702436 0.574379i −0.212898 0.977074i \(-0.568290\pi\)
0.915334 + 0.402696i \(0.131927\pi\)
\(18\) −0.419604 2.07083i −0.0989017 0.488099i
\(19\) 2.45571 + 0.140422i 0.563378 + 0.0322151i 0.336458 0.941698i \(-0.390771\pi\)
0.226920 + 0.973913i \(0.427135\pi\)
\(20\) −1.65807 + 1.52176i −0.370755 + 0.340276i
\(21\) 0.918268 + 6.38669i 0.200382 + 1.39369i
\(22\) −2.17187 6.48375i −0.463044 1.38234i
\(23\) 1.22551 8.52363i 0.255537 1.77730i −0.308177 0.951329i \(-0.599719\pi\)
0.563714 0.825970i \(-0.309372\pi\)
\(24\) 0.409753 + 0.599245i 0.0836405 + 0.122320i
\(25\) −0.362808 0.931864i −0.0725615 0.186373i
\(26\) −8.52249 + 11.0522i −1.67140 + 2.16751i
\(27\) 1.74796 5.37968i 0.336396 1.03532i
\(28\) 5.33568 + 8.84824i 1.00835 + 1.67216i
\(29\) 0.459460 1.18011i 0.0853195 0.219141i −0.882740 0.469862i \(-0.844304\pi\)
0.968060 + 0.250720i \(0.0806674\pi\)
\(30\) −2.82219 + 0.656273i −0.515260 + 0.119818i
\(31\) 6.48495 + 2.74056i 1.16473 + 0.492220i 0.883963 0.467556i \(-0.154865\pi\)
0.280768 + 0.959776i \(0.409411\pi\)
\(32\) −6.82873 4.38856i −1.20716 0.775794i
\(33\) 0.884220 4.57655i 0.153923 0.796675i
\(34\) 6.48873 4.17005i 1.11281 0.715158i
\(35\) −4.52388 + 0.782888i −0.764675 + 0.132332i
\(36\) −0.197376 2.29800i −0.0328959 0.383000i
\(37\) 0.343037 3.99391i 0.0563950 0.656595i −0.912493 0.409093i \(-0.865845\pi\)
0.968888 0.247501i \(-0.0796095\pi\)
\(38\) 4.99689 + 0.864746i 0.810603 + 0.140280i
\(39\) −8.76338 + 3.70343i −1.40326 + 0.593024i
\(40\) −0.417888 + 0.303613i −0.0660738 + 0.0480054i
\(41\) −10.3687 + 5.85550i −1.61933 + 0.914475i −0.628734 + 0.777620i \(0.716427\pi\)
−0.990591 + 0.136855i \(0.956301\pi\)
\(42\) 0.379874 + 13.2973i 0.0586158 + 2.05182i
\(43\) −0.574218 + 0.168606i −0.0875674 + 0.0257121i −0.325223 0.945637i \(-0.605439\pi\)
0.237655 + 0.971350i \(0.423621\pi\)
\(44\) −1.54857 7.30180i −0.233456 1.10079i
\(45\) 0.983335 + 0.288733i 0.146587 + 0.0430418i
\(46\) 4.51332 17.1705i 0.665453 2.53165i
\(47\) −0.685099 + 3.38110i −0.0999320 + 0.493184i 0.898588 + 0.438794i \(0.144594\pi\)
−0.998520 + 0.0543900i \(0.982679\pi\)
\(48\) −2.25361 4.27107i −0.325281 0.616476i
\(49\) −0.402024 + 14.0727i −0.0574319 + 2.01038i
\(50\) −0.524118 1.99395i −0.0741215 0.281987i
\(51\) 5.24931 0.300166i 0.735050 0.0420317i
\(52\) −10.6178 + 10.9255i −1.47242 + 1.51509i
\(53\) 6.30332 3.09913i 0.865827 0.425699i 0.0464280 0.998922i \(-0.485216\pi\)
0.819399 + 0.573223i \(0.194307\pi\)
\(54\) 4.84456 10.6081i 0.659261 1.44358i
\(55\) 3.27304 + 0.535912i 0.441337 + 0.0722624i
\(56\) 0.985151 + 2.15718i 0.131646 + 0.288265i
\(57\) 2.67612 + 2.18826i 0.354461 + 0.289842i
\(58\) 1.21843 2.30918i 0.159988 0.303210i
\(59\) 2.89785 + 1.63649i 0.377268 + 0.213053i 0.668690 0.743542i \(-0.266855\pi\)
−0.291422 + 0.956595i \(0.594128\pi\)
\(60\) −3.14230 + 0.360545i −0.405669 + 0.0465462i
\(61\) −3.74864 + 0.430117i −0.479965 + 0.0550708i −0.350598 0.936526i \(-0.614022\pi\)
−0.129367 + 0.991597i \(0.541294\pi\)
\(62\) 12.6387 + 7.13740i 1.60512 + 0.906451i
\(63\) 2.19576 4.16144i 0.276640 0.524292i
\(64\) −7.63541 6.24344i −0.954426 0.780430i
\(65\) −2.81213 6.15771i −0.348802 0.763770i
\(66\) 2.88666 9.16610i 0.355323 1.12827i
\(67\) −2.60973 + 5.71450i −0.318829 + 0.698138i −0.999403 0.0345412i \(-0.989003\pi\)
0.680574 + 0.732679i \(0.261730\pi\)
\(68\) 7.55584 3.71496i 0.916280 0.450505i
\(69\) 8.43455 8.67894i 1.01540 1.04482i
\(70\) −9.45001 + 0.540371i −1.12949 + 0.0645867i
\(71\) −2.30565 8.77160i −0.273630 1.04100i −0.951956 0.306236i \(-0.900930\pi\)
0.678326 0.734761i \(-0.262706\pi\)
\(72\) 0.0151168 0.529157i 0.00178153 0.0623617i
\(73\) 2.88091 + 5.45993i 0.337185 + 0.639036i 0.993292 0.115631i \(-0.0368892\pi\)
−0.656108 + 0.754667i \(0.727798\pi\)
\(74\) 1.64125 8.09989i 0.190791 0.941593i
\(75\) 0.357279 1.35923i 0.0412550 0.156950i
\(76\) 5.31147 + 1.55959i 0.609267 + 0.178897i
\(77\) 5.39564 14.2390i 0.614890 1.62269i
\(78\) −18.8199 + 5.52602i −2.13094 + 0.625699i
\(79\) −0.137885 4.82662i −0.0155133 0.543037i −0.969766 0.244036i \(-0.921528\pi\)
0.954253 0.299001i \(-0.0966533\pi\)
\(80\) 2.99201 1.68967i 0.334517 0.188910i
\(81\) 3.94407 2.86554i 0.438230 0.318393i
\(82\) −22.6139 + 9.55670i −2.49728 + 1.05536i
\(83\) −8.20460 1.41986i −0.900572 0.155850i −0.298611 0.954375i \(-0.596523\pi\)
−0.601962 + 0.798525i \(0.705614\pi\)
\(84\) −1.24266 + 14.4681i −0.135586 + 1.57859i
\(85\) 0.320153 + 3.72747i 0.0347255 + 0.404301i
\(86\) −1.21576 + 0.210396i −0.131099 + 0.0226876i
\(87\) 1.49726 0.962232i 0.160523 0.103162i
\(88\) −0.162069 1.70548i −0.0172767 0.181805i
\(89\) −1.01469 0.652099i −0.107557 0.0691224i 0.485757 0.874094i \(-0.338544\pi\)
−0.593313 + 0.804972i \(0.702180\pi\)
\(90\) 1.94625 + 0.822494i 0.205153 + 0.0866985i
\(91\) −30.2717 + 7.03938i −3.17333 + 0.737927i
\(92\) 7.03123 18.0596i 0.733056 1.88284i
\(93\) 5.10944 + 8.47305i 0.529824 + 0.878614i
\(94\) −2.19786 + 6.76431i −0.226692 + 0.697685i
\(95\) −1.50202 + 1.94786i −0.154104 + 0.199846i
\(96\) −4.13894 10.6308i −0.422429 1.08500i
\(97\) −3.18774 4.66192i −0.323666 0.473346i 0.628983 0.777419i \(-0.283472\pi\)
−0.952649 + 0.304073i \(0.901653\pi\)
\(98\) −4.13072 + 28.7298i −0.417266 + 2.90215i
\(99\) −2.48327 + 2.32095i −0.249578 + 0.233264i
\(100\) −0.320285 2.22763i −0.0320285 0.222763i
\(101\) −3.71105 + 3.40597i −0.369263 + 0.338907i −0.839229 0.543778i \(-0.816993\pi\)
0.469966 + 0.882685i \(0.344266\pi\)
\(102\) 10.8224 + 0.618848i 1.07158 + 0.0612751i
\(103\) −2.34051 11.5509i −0.230617 1.13814i −0.913257 0.407385i \(-0.866441\pi\)
0.682639 0.730755i \(-0.260832\pi\)
\(104\) −2.70692 + 2.21344i −0.265435 + 0.217045i
\(105\) −5.79034 2.84692i −0.565080 0.277831i
\(106\) 13.6391 4.86642i 1.32475 0.472668i
\(107\) −6.93334 8.99132i −0.670272 0.869224i 0.326847 0.945077i \(-0.394014\pi\)
−0.997119 + 0.0758533i \(0.975832\pi\)
\(108\) 6.57387 10.9015i 0.632571 1.04900i
\(109\) 5.82850 + 6.72645i 0.558269 + 0.644277i 0.962790 0.270252i \(-0.0871070\pi\)
−0.404520 + 0.914529i \(0.632562\pi\)
\(110\) 6.57804 + 1.86689i 0.627192 + 0.178001i
\(111\) 3.68930 4.25767i 0.350172 0.404121i
\(112\) −4.87498 15.0036i −0.460642 1.41771i
\(113\) −5.67295 2.02410i −0.533666 0.190412i 0.0554481 0.998462i \(-0.482341\pi\)
−0.589114 + 0.808050i \(0.700523\pi\)
\(114\) 4.96709 + 5.11101i 0.465210 + 0.478690i
\(115\) 6.34428 + 5.82273i 0.591607 + 0.542972i
\(116\) 1.60871 2.35267i 0.149365 0.218439i
\(117\) 6.75736 + 1.57136i 0.624718 + 0.145272i
\(118\) 5.55091 + 4.03297i 0.511003 + 0.371265i
\(119\) 17.0643 + 1.95795i 1.56428 + 0.179485i
\(120\) −0.725942 −0.0662692
\(121\) −7.05158 + 8.44246i −0.641053 + 0.767497i
\(122\) −7.77923 −0.704298
\(123\) −16.6263 1.90769i −1.49914 0.172010i
\(124\) 12.8184 + 9.31310i 1.15112 + 0.836341i
\(125\) 0.974012 + 0.226497i 0.0871183 + 0.0202585i
\(126\) 5.47546 8.00761i 0.487793 0.713374i
\(127\) −0.225968 0.207392i −0.0200514 0.0184030i 0.666087 0.745874i \(-0.267968\pi\)
−0.686138 + 0.727471i \(0.740695\pi\)
\(128\) −2.85736 2.94015i −0.252557 0.259875i
\(129\) −0.792163 0.282643i −0.0697460 0.0248853i
\(130\) −4.31279 13.2734i −0.378256 1.16415i
\(131\) −6.26342 + 7.22837i −0.547237 + 0.631546i −0.960237 0.279185i \(-0.909936\pi\)
0.413000 + 0.910731i \(0.364481\pi\)
\(132\) 4.27111 9.58133i 0.371753 0.833947i
\(133\) 7.39526 + 8.53458i 0.641250 + 0.740042i
\(134\) −6.68835 + 11.0914i −0.577785 + 0.958150i
\(135\) 3.45415 + 4.47942i 0.297285 + 0.385527i
\(136\) 1.82008 0.649405i 0.156071 0.0556860i
\(137\) 12.1897 + 5.99329i 1.04144 + 0.512042i 0.880066 0.474852i \(-0.157498\pi\)
0.161374 + 0.986893i \(0.448407\pi\)
\(138\) 19.3157 15.7944i 1.64426 1.34451i
\(139\) 0.888132 + 4.38310i 0.0753304 + 0.371770i 0.999959 0.00910092i \(-0.00289695\pi\)
−0.924628 + 0.380871i \(0.875624\pi\)
\(140\) −10.3157 0.589871i −0.871832 0.0498532i
\(141\) −3.57199 + 3.27834i −0.300816 + 0.276086i
\(142\) −2.66108 18.5082i −0.223313 1.55318i
\(143\) 22.3277 + 2.35701i 1.86713 + 0.197103i
\(144\) −0.501166 + 3.48568i −0.0417638 + 0.290474i
\(145\) 0.714811 + 1.04538i 0.0593618 + 0.0868139i
\(146\) 4.61764 + 11.8603i 0.382159 + 0.981567i
\(147\) −12.0822 + 15.6684i −0.996520 + 1.29231i
\(148\) 2.78781 8.58001i 0.229157 0.705272i
\(149\) 4.76382 + 7.89990i 0.390267 + 0.647185i 0.987990 0.154518i \(-0.0493823\pi\)
−0.597723 + 0.801703i \(0.703928\pi\)
\(150\) 1.05123 2.70007i 0.0858328 0.220460i
\(151\) 1.08682 0.252728i 0.0884438 0.0205667i −0.182041 0.983291i \(-0.558270\pi\)
0.270485 + 0.962724i \(0.412816\pi\)
\(152\) 1.17032 + 0.494582i 0.0949256 + 0.0401159i
\(153\) −3.22550 2.07290i −0.260766 0.167584i
\(154\) 14.3980 27.8969i 1.16022 2.24800i
\(155\) −5.92264 + 3.80625i −0.475718 + 0.305725i
\(156\) −21.0976 + 3.65108i −1.68916 + 0.292320i
\(157\) 0.270963 + 3.15476i 0.0216252 + 0.251777i 0.999159 + 0.0409996i \(0.0130542\pi\)
−0.977534 + 0.210778i \(0.932400\pi\)
\(158\) 0.851901 9.91850i 0.0677736 0.789074i
\(159\) 9.72694 + 1.68331i 0.771397 + 0.133495i
\(160\) 7.47706 3.15983i 0.591113 0.249807i
\(161\) 31.9848 23.2383i 2.52076 1.83144i
\(162\) 8.75187 4.94241i 0.687612 0.388312i
\(163\) 0.0161823 + 0.566453i 0.00126749 + 0.0443680i 0.999980 0.00636501i \(-0.00202606\pi\)
−0.998712 + 0.0507330i \(0.983844\pi\)
\(164\) −25.7136 + 7.55020i −2.00790 + 0.589572i
\(165\) 3.27872 + 3.31310i 0.255248 + 0.257925i
\(166\) −16.4714 4.83643i −1.27843 0.375379i
\(167\) −4.35992 + 16.5869i −0.337381 + 1.28353i 0.554850 + 0.831950i \(0.312776\pi\)
−0.892231 + 0.451579i \(0.850861\pi\)
\(168\) −0.661880 + 3.26651i −0.0510652 + 0.252016i
\(169\) −15.3186 29.0319i −1.17835 2.23322i
\(170\) −0.220258 + 7.71002i −0.0168930 + 0.591332i
\(171\) −0.640843 2.43802i −0.0490065 0.186440i
\(172\) −1.34466 + 0.0768905i −0.102530 + 0.00586285i
\(173\) −4.70346 + 4.83974i −0.357597 + 0.367959i −0.871929 0.489633i \(-0.837131\pi\)
0.514332 + 0.857591i \(0.328040\pi\)
\(174\) 3.29290 1.61901i 0.249634 0.122737i
\(175\) 1.90722 4.17623i 0.144172 0.315693i
\(176\) −0.222164 + 11.3942i −0.0167462 + 0.858873i
\(177\) 1.94297 + 4.25452i 0.146043 + 0.319789i
\(178\) −1.92507 1.57413i −0.144290 0.117986i
\(179\) −11.8248 + 22.4105i −0.883827 + 1.67504i −0.157688 + 0.987489i \(0.550404\pi\)
−0.726138 + 0.687549i \(0.758687\pi\)
\(180\) 2.00834 + 1.13416i 0.149693 + 0.0845356i
\(181\) −22.6163 + 2.59498i −1.68106 + 0.192883i −0.901299 0.433198i \(-0.857385\pi\)
−0.779758 + 0.626081i \(0.784658\pi\)
\(182\) −63.6582 + 7.30410i −4.71866 + 0.541416i
\(183\) −4.61749 2.60762i −0.341335 0.192761i
\(184\) 2.07576 3.93400i 0.153027 0.290018i
\(185\) 3.10324 + 2.53750i 0.228154 + 0.186561i
\(186\) 8.47409 + 18.5557i 0.621351 + 1.36057i
\(187\) −11.1842 5.37358i −0.817871 0.392955i
\(188\) −3.22526 + 7.06233i −0.235226 + 0.515073i
\(189\) 23.3053 11.4584i 1.69521 0.833478i
\(190\) −3.53429 + 3.63669i −0.256404 + 0.263833i
\(191\) −12.4494 + 0.711880i −0.900804 + 0.0515099i −0.501351 0.865244i \(-0.667164\pi\)
−0.399453 + 0.916754i \(0.630800\pi\)
\(192\) −3.52386 13.4062i −0.254313 0.967506i
\(193\) −0.142791 + 4.99835i −0.0102784 + 0.359789i 0.978132 + 0.207984i \(0.0666903\pi\)
−0.988410 + 0.151805i \(0.951491\pi\)
\(194\) −5.43366 10.2979i −0.390114 0.739348i
\(195\) 1.88935 9.32430i 0.135299 0.667727i
\(196\) −8.05466 + 30.6431i −0.575333 + 2.18879i
\(197\) 2.33923 + 0.686858i 0.166663 + 0.0489366i 0.363999 0.931399i \(-0.381411\pi\)
−0.197337 + 0.980336i \(0.563229\pi\)
\(198\) −5.63181 + 4.17027i −0.400235 + 0.296368i
\(199\) 20.2424 5.94369i 1.43494 0.421337i 0.530410 0.847741i \(-0.322038\pi\)
0.904533 + 0.426404i \(0.140220\pi\)
\(200\) −0.0147503 0.516327i −0.00104300 0.0365098i
\(201\) −7.68784 + 4.34152i −0.542259 + 0.306228i
\(202\) −8.40159 + 6.10412i −0.591134 + 0.429484i
\(203\) 5.35559 2.26329i 0.375889 0.158852i
\(204\) 11.6598 + 2.01780i 0.816347 + 0.141274i
\(205\) 1.01902 11.8642i 0.0711712 0.828632i
\(206\) −2.07932 24.2091i −0.144873 1.68672i
\(207\) −8.69599 + 1.50490i −0.604413 + 0.104598i
\(208\) 19.5682 12.5757i 1.35681 0.871971i
\(209\) −3.02856 7.57497i −0.209490 0.523972i
\(210\) −11.1910 7.19201i −0.772251 0.496296i
\(211\) 18.8913 + 7.98353i 1.30053 + 0.549609i 0.925971 0.377594i \(-0.123249\pi\)
0.374559 + 0.927203i \(0.377794\pi\)
\(212\) 15.3970 3.58041i 1.05747 0.245904i
\(213\) 4.62448 11.8779i 0.316864 0.813859i
\(214\) −12.0881 20.0459i −0.826326 1.37031i
\(215\) 0.184934 0.569169i 0.0126124 0.0388170i
\(216\) 1.78420 2.31379i 0.121399 0.157433i
\(217\) 11.7269 + 30.1204i 0.796075 + 2.04470i
\(218\) 10.3574 + 15.1472i 0.701491 + 1.02590i
\(219\) −1.23473 + 8.58774i −0.0834354 + 0.580306i
\(220\) 6.90151 + 2.84315i 0.465300 + 0.191685i
\(221\) 3.60424 + 25.0681i 0.242448 + 1.68626i
\(222\) 8.55720 7.85373i 0.574322 0.527108i
\(223\) 16.1031 + 0.920810i 1.07835 + 0.0616620i 0.587220 0.809427i \(-0.300222\pi\)
0.491125 + 0.871089i \(0.336586\pi\)
\(224\) −7.40099 36.5253i −0.494500 2.44045i
\(225\) −0.793378 + 0.648742i −0.0528918 + 0.0432494i
\(226\) −11.1439 5.47908i −0.741281 0.364463i
\(227\) 4.84180 1.72755i 0.321361 0.114661i −0.170442 0.985368i \(-0.554520\pi\)
0.491804 + 0.870706i \(0.336338\pi\)
\(228\) 4.75077 + 6.16090i 0.314627 + 0.408016i
\(229\) −4.43628 + 7.35674i −0.293158 + 0.486147i −0.967705 0.252084i \(-0.918884\pi\)
0.674548 + 0.738231i \(0.264339\pi\)
\(230\) 11.6262 + 13.4174i 0.766610 + 0.884716i
\(231\) 17.8973 11.7325i 1.17755 0.771940i
\(232\) 0.428372 0.494368i 0.0281240 0.0324569i
\(233\) −2.68967 8.27796i −0.176206 0.542307i 0.823480 0.567345i \(-0.192029\pi\)
−0.999687 + 0.0250377i \(0.992029\pi\)
\(234\) 13.4714 + 4.80660i 0.880656 + 0.314217i
\(235\) −2.40430 2.47397i −0.156839 0.161384i
\(236\) 5.51806 + 5.06443i 0.359195 + 0.329666i
\(237\) 3.83037 5.60174i 0.248809 0.363872i
\(238\) 34.4918 + 8.02072i 2.23577 + 0.519906i
\(239\) 20.9250 + 15.2029i 1.35353 + 0.983395i 0.998827 + 0.0484147i \(0.0154169\pi\)
0.354700 + 0.934980i \(0.384583\pi\)
\(240\) 4.79769 + 0.550483i 0.309689 + 0.0355335i
\(241\) −6.20214 −0.399515 −0.199758 0.979845i \(-0.564015\pi\)
−0.199758 + 0.979845i \(0.564015\pi\)
\(242\) −16.4275 + 15.6350i −1.05600 + 1.00506i
\(243\) −10.1180 −0.649073
\(244\) −8.43648 0.967996i −0.540090 0.0619696i
\(245\) −11.3897 8.27508i −0.727659 0.528675i
\(246\) −33.6063 7.81482i −2.14266 0.498255i
\(247\) −9.39851 + 13.7449i −0.598013 + 0.874566i
\(248\) 2.67920 + 2.45895i 0.170129 + 0.156143i
\(249\) −8.15567 8.39198i −0.516844 0.531820i
\(250\) 1.94179 + 0.692828i 0.122809 + 0.0438183i
\(251\) 6.14971 + 18.9269i 0.388166 + 1.19465i 0.934157 + 0.356862i \(0.116153\pi\)
−0.545991 + 0.837791i \(0.683847\pi\)
\(252\) 6.93449 8.00282i 0.436832 0.504131i
\(253\) −27.3294 + 8.29445i −1.71819 + 0.521468i
\(254\) −0.414098 0.477895i −0.0259828 0.0299858i
\(255\) −2.71516 + 4.50258i −0.170030 + 0.281963i
\(256\) 6.88413 + 8.92749i 0.430258 + 0.557968i
\(257\) 10.4707 3.73594i 0.653145 0.233042i 0.0113707 0.999935i \(-0.496381\pi\)
0.641774 + 0.766894i \(0.278199\pi\)
\(258\) −1.55612 0.765092i −0.0968797 0.0476325i
\(259\) 14.2473 11.6500i 0.885286 0.723895i
\(260\) −3.02551 14.9315i −0.187634 0.926011i
\(261\) −1.29575 0.0740937i −0.0802050 0.00458629i
\(262\) −14.5278 + 13.3335i −0.897530 + 0.823746i
\(263\) 0.349746 + 2.43253i 0.0215662 + 0.149996i 0.997759 0.0669075i \(-0.0213132\pi\)
−0.976193 + 0.216904i \(0.930404\pi\)
\(264\) 1.22458 2.07300i 0.0753676 0.127584i
\(265\) −0.999618 + 6.95250i −0.0614061 + 0.427088i
\(266\) 13.1416 + 19.2189i 0.805761 + 1.17839i
\(267\) −0.615009 1.57964i −0.0376380 0.0966723i
\(268\) −8.63357 + 11.1962i −0.527380 + 0.683918i
\(269\) 0.780624 2.40251i 0.0475955 0.146484i −0.924434 0.381341i \(-0.875462\pi\)
0.972030 + 0.234857i \(0.0754623\pi\)
\(270\) 6.02221 + 9.98672i 0.366500 + 0.607772i
\(271\) 10.4930 26.9511i 0.637406 1.63716i −0.126598 0.991954i \(-0.540406\pi\)
0.764005 0.645211i \(-0.223231\pi\)
\(272\) −12.5212 + 2.91168i −0.759210 + 0.176547i
\(273\) −40.2337 17.0029i −2.43506 1.02906i
\(274\) 23.5591 + 15.1405i 1.42326 + 0.914671i
\(275\) −2.28983 + 2.39931i −0.138082 + 0.144684i
\(276\) 22.9130 14.7253i 1.37920 0.886358i
\(277\) −7.67516 + 1.32824i −0.461156 + 0.0798062i −0.396366 0.918093i \(-0.629729\pi\)
−0.0647902 + 0.997899i \(0.520638\pi\)
\(278\) 0.789020 + 9.18640i 0.0473223 + 0.550963i
\(279\) 0.617440 7.18873i 0.0369652 0.430378i
\(280\) −2.33675 0.404391i −0.139648 0.0241670i
\(281\) 19.0393 8.04608i 1.13579 0.479989i 0.261409 0.965228i \(-0.415813\pi\)
0.874382 + 0.485239i \(0.161267\pi\)
\(282\) −8.08677 + 5.87538i −0.481560 + 0.349874i
\(283\) −12.9256 + 7.29943i −0.768348 + 0.433906i −0.825459 0.564462i \(-0.809084\pi\)
0.0571113 + 0.998368i \(0.481811\pi\)
\(284\) −0.582870 20.4031i −0.0345870 1.21070i
\(285\) −3.31686 + 0.973919i −0.196474 + 0.0576900i
\(286\) 45.1786 + 10.0751i 2.67147 + 0.595751i
\(287\) −52.4560 15.4025i −3.09638 0.909179i
\(288\) −2.11485 + 8.04572i −0.124619 + 0.474098i
\(289\) −0.596456 + 2.94363i −0.0350857 + 0.173155i
\(290\) 1.21843 + 2.30918i 0.0715486 + 0.135600i
\(291\) 0.226653 7.93388i 0.0132866 0.465093i
\(292\) 3.53196 + 13.4370i 0.206692 + 0.786339i
\(293\) −6.57992 + 0.376253i −0.384403 + 0.0219810i −0.248222 0.968703i \(-0.579846\pi\)
−0.136181 + 0.990684i \(0.543483\pi\)
\(294\) −28.4295 + 29.2533i −1.65804 + 1.70609i
\(295\) −2.98655 + 1.46839i −0.173884 + 0.0854929i
\(296\) 0.860158 1.88348i 0.0499957 0.109475i
\(297\) −18.6181 + 2.30740i −1.08033 + 0.133889i
\(298\) 7.90087 + 17.3005i 0.457685 + 1.00219i
\(299\) 45.1275 + 36.9006i 2.60979 + 2.13402i
\(300\) 1.47603 2.79738i 0.0852185 0.161507i
\(301\) −2.39246 1.35109i −0.137899 0.0778753i
\(302\) 2.28546 0.262232i 0.131513 0.0150898i
\(303\) −7.03302 + 0.806964i −0.404037 + 0.0463589i
\(304\) −7.35951 4.15610i −0.422097 0.238369i
\(305\) 1.76085 3.33718i 0.100826 0.191086i
\(306\) −6.11945 5.00385i −0.349826 0.286051i
\(307\) 0.325188 + 0.712063i 0.0185595 + 0.0406396i 0.918685 0.394992i \(-0.129252\pi\)
−0.900125 + 0.435631i \(0.856525\pi\)
\(308\) 19.0857 28.4623i 1.08751 1.62179i
\(309\) 6.88073 15.0667i 0.391431 0.857114i
\(310\) −13.0256 + 6.40423i −0.739802 + 0.363736i
\(311\) 5.10593 5.25388i 0.289531 0.297920i −0.556725 0.830697i \(-0.687942\pi\)
0.846256 + 0.532777i \(0.178851\pi\)
\(312\) −4.90621 + 0.280547i −0.277760 + 0.0158829i
\(313\) −2.09887 7.98494i −0.118635 0.451335i 0.881133 0.472869i \(-0.156782\pi\)
−0.999768 + 0.0215335i \(0.993145\pi\)
\(314\) −0.186416 + 6.52541i −0.0105201 + 0.368250i
\(315\) 2.19576 + 4.16144i 0.123717 + 0.234470i
\(316\) 2.15807 10.6505i 0.121401 0.599137i
\(317\) 8.52222 32.4219i 0.478655 1.82099i −0.0868141 0.996225i \(-0.527669\pi\)
0.565469 0.824769i \(-0.308695\pi\)
\(318\) 19.5276 + 5.73381i 1.09505 + 0.321536i
\(319\) −4.19098 + 0.277783i −0.234650 + 0.0155529i
\(320\) 9.46354 2.77875i 0.529028 0.155337i
\(321\) −0.455670 15.9505i −0.0254330 0.890272i
\(322\) 70.9741 40.0809i 3.95523 2.23362i
\(323\) 7.44481 5.40897i 0.414240 0.300963i
\(324\) 10.1063 4.27096i 0.561461 0.237275i
\(325\) 6.67030 + 1.15434i 0.370002 + 0.0640313i
\(326\) −0.0999793 + 1.16404i −0.00553734 + 0.0644701i
\(327\) 1.07042 + 12.4627i 0.0591945 + 0.689189i
\(328\) −6.06078 + 1.04886i −0.334651 + 0.0579136i
\(329\) −13.3242 + 8.56294i −0.734586 + 0.472090i
\(330\) 5.93700 + 7.55659i 0.326821 + 0.415977i
\(331\) 6.66018 + 4.28024i 0.366077 + 0.235263i 0.710727 0.703468i \(-0.248366\pi\)
−0.344650 + 0.938731i \(0.612003\pi\)
\(332\) −17.2612 7.29463i −0.947330 0.400345i
\(333\) −4.00146 + 0.930499i −0.219278 + 0.0509910i
\(334\) −12.8283 + 32.9493i −0.701935 + 1.80291i
\(335\) −3.24412 5.37977i −0.177245 0.293928i
\(336\) 6.85130 21.0861i 0.373769 1.15034i
\(337\) 18.5226 24.0205i 1.00899 1.30848i 0.0583117 0.998298i \(-0.481428\pi\)
0.950677 0.310182i \(-0.100390\pi\)
\(338\) −24.5533 63.0646i −1.33552 3.43026i
\(339\) −4.77804 6.98766i −0.259508 0.379518i
\(340\) −1.19825 + 8.33402i −0.0649843 + 0.451976i
\(341\) −0.878319 23.3334i −0.0475637 1.26357i
\(342\) −0.739635 5.14427i −0.0399949 0.278170i
\(343\) −23.9425 + 21.9742i −1.29277 + 1.18650i
\(344\) −0.308623 0.0176477i −0.0166398 0.000951499i
\(345\) 2.40340 + 11.8613i 0.129395 + 0.638588i
\(346\) −10.7712 + 8.80760i −0.579066 + 0.473500i
\(347\) 19.6639 + 9.66809i 1.05561 + 0.519010i 0.884644 0.466266i \(-0.154401\pi\)
0.170969 + 0.985276i \(0.445310\pi\)
\(348\) 3.77257 1.34605i 0.202231 0.0721559i
\(349\) −10.5476 13.6784i −0.564602 0.732189i 0.419898 0.907571i \(-0.362066\pi\)
−0.984500 + 0.175382i \(0.943884\pi\)
\(350\) 4.88793 8.10572i 0.261271 0.433269i
\(351\) 25.0756 + 28.9388i 1.33844 + 1.54464i
\(352\) −3.58971 + 26.6817i −0.191332 + 1.42214i
\(353\) −10.0960 + 11.6514i −0.537357 + 0.620143i −0.957890 0.287134i \(-0.907297\pi\)
0.420533 + 0.907277i \(0.361843\pi\)
\(354\) 2.97982 + 9.17093i 0.158375 + 0.487429i
\(355\) 8.54212 + 3.04782i 0.453368 + 0.161762i
\(356\) −1.89185 1.94666i −0.100268 0.103173i
\(357\) 17.7846 + 16.3226i 0.941262 + 0.863882i
\(358\) −29.4869 + 43.1232i −1.55843 + 2.27913i
\(359\) 6.34868 + 1.47632i 0.335070 + 0.0779173i 0.390656 0.920537i \(-0.372248\pi\)
−0.0555858 + 0.998454i \(0.517703\pi\)
\(360\) 0.428271 + 0.311157i 0.0225719 + 0.0163994i
\(361\) −12.8654 1.47616i −0.677125 0.0776928i
\(362\) −46.9336 −2.46678
\(363\) −14.9917 + 3.77390i −0.786860 + 0.198078i
\(364\) −69.9454 −3.66614
\(365\) −6.13312 0.703710i −0.321022 0.0368339i
\(366\) −8.84493 6.42622i −0.462332 0.335904i
\(367\) 17.0440 + 3.96340i 0.889688 + 0.206888i 0.646339 0.763051i \(-0.276299\pi\)
0.243349 + 0.969939i \(0.421754\pi\)
\(368\) −16.7017 + 24.4254i −0.870634 + 1.27326i
\(369\) 8.99102 + 8.25188i 0.468054 + 0.429576i
\(370\) 5.75984 + 5.92673i 0.299440 + 0.308116i
\(371\) 30.3726 + 10.8369i 1.57687 + 0.562625i
\(372\) 6.88111 + 21.1779i 0.356769 + 1.09802i
\(373\) 5.10111 5.88699i 0.264125 0.304817i −0.608160 0.793815i \(-0.708092\pi\)
0.872285 + 0.488998i \(0.162637\pi\)
\(374\) −21.6452 13.6349i −1.11924 0.705042i
\(375\) 0.920342 + 1.06213i 0.0475263 + 0.0548482i
\(376\) −0.920197 + 1.52598i −0.0474556 + 0.0786962i
\(377\) 5.23498 + 6.78884i 0.269615 + 0.349643i
\(378\) 50.4278 17.9926i 2.59373 0.925439i
\(379\) −3.64833 1.79377i −0.187402 0.0921395i 0.345108 0.938563i \(-0.387842\pi\)
−0.532511 + 0.846423i \(0.678751\pi\)
\(380\) −4.28542 + 3.50417i −0.219837 + 0.179760i
\(381\) −0.0856034 0.422469i −0.00438560 0.0216438i
\(382\) −25.6667 1.46767i −1.31322 0.0750926i
\(383\) −4.23554 + 3.88734i −0.216426 + 0.198634i −0.777054 0.629434i \(-0.783287\pi\)
0.560628 + 0.828068i \(0.310560\pi\)
\(384\) −0.820014 5.70332i −0.0418462 0.291046i
\(385\) 8.70838 + 12.4911i 0.443820 + 0.636603i
\(386\) −1.46716 + 10.2043i −0.0746763 + 0.519385i
\(387\) 0.346190 + 0.506287i 0.0175978 + 0.0257360i
\(388\) −4.61133 11.8441i −0.234105 0.601293i
\(389\) 22.4064 29.0571i 1.13605 1.47325i 0.277353 0.960768i \(-0.410543\pi\)
0.858696 0.512486i \(-0.171275\pi\)
\(390\) 6.06119 18.6544i 0.306920 0.944604i
\(391\) −16.6365 27.5886i −0.841344 1.39521i
\(392\) −2.63835 + 6.77654i −0.133257 + 0.342267i
\(393\) −13.0926 + 3.04456i −0.660436 + 0.153578i
\(394\) 4.62989 + 1.95661i 0.233250 + 0.0985724i
\(395\) 4.06207 + 2.61053i 0.204385 + 0.131350i
\(396\) −6.62655 + 3.82182i −0.332997 + 0.192054i
\(397\) 7.96389 5.11808i 0.399696 0.256869i −0.325316 0.945605i \(-0.605471\pi\)
0.725012 + 0.688736i \(0.241834\pi\)
\(398\) 42.8582 7.41690i 2.14829 0.371776i
\(399\) 1.35816 + 15.8128i 0.0679932 + 0.791630i
\(400\) −0.294048 + 3.42354i −0.0147024 + 0.171177i
\(401\) 14.8162 + 2.56404i 0.739885 + 0.128042i 0.527990 0.849250i \(-0.322946\pi\)
0.211895 + 0.977293i \(0.432037\pi\)
\(402\) −16.7669 + 7.08576i −0.836258 + 0.353405i
\(403\) −38.5567 + 28.0131i −1.92065 + 1.39543i
\(404\) −9.87099 + 5.57440i −0.491100 + 0.277337i
\(405\) 0.139215 + 4.87315i 0.00691764 + 0.242149i
\(406\) 11.5015 3.37714i 0.570809 0.167605i
\(407\) −12.4809 + 4.58112i −0.618654 + 0.227078i
\(408\) 2.60588 + 0.765155i 0.129010 + 0.0378808i
\(409\) 4.50616 17.1432i 0.222815 0.847677i −0.757922 0.652345i \(-0.773785\pi\)
0.980737 0.195332i \(-0.0625783\pi\)
\(410\) 4.87545 24.0613i 0.240782 1.18830i
\(411\) 8.90875 + 16.8840i 0.439436 + 0.832824i
\(412\) 0.757420 26.5132i 0.0373154 1.30621i
\(413\) 3.88428 + 14.7773i 0.191133 + 0.727145i
\(414\) −18.1652 + 1.03872i −0.892771 + 0.0510505i
\(415\) 5.80309 5.97124i 0.284862 0.293117i
\(416\) 49.3119 24.2450i 2.41771 1.18871i
\(417\) −2.61097 + 5.71722i −0.127860 + 0.279974i
\(418\) −4.42301 16.2272i −0.216336 0.793697i
\(419\) 4.83825 + 10.5943i 0.236364 + 0.517565i 0.990227 0.139467i \(-0.0445390\pi\)
−0.753863 + 0.657032i \(0.771812\pi\)
\(420\) −11.2416 9.19218i −0.548532 0.448532i
\(421\) −7.00827 + 13.2821i −0.341562 + 0.647332i −0.993862 0.110629i \(-0.964713\pi\)
0.652300 + 0.757961i \(0.273804\pi\)
\(422\) 36.8178 + 20.7919i 1.79226 + 1.01214i
\(423\) 3.51249 0.403020i 0.170783 0.0195955i
\(424\) 3.60450 0.413578i 0.175050 0.0200851i
\(425\) −3.25763 1.83967i −0.158018 0.0892371i
\(426\) 12.2635 23.2420i 0.594171 1.12608i
\(427\) −13.4108 10.9659i −0.648993 0.530679i
\(428\) −10.6150 23.2437i −0.513097 1.12353i
\(429\) 23.4393 + 21.1242i 1.13166 + 1.01989i
\(430\) 0.512554 1.12234i 0.0247175 0.0541238i
\(431\) −11.1422 + 5.47826i −0.536702 + 0.263879i −0.689383 0.724397i \(-0.742118\pi\)
0.152681 + 0.988275i \(0.451209\pi\)
\(432\) −13.5461 + 13.9386i −0.651738 + 0.670623i
\(433\) 6.80484 0.389115i 0.327020 0.0186997i 0.107192 0.994238i \(-0.465814\pi\)
0.219828 + 0.975539i \(0.429450\pi\)
\(434\) 16.9409 + 64.4499i 0.813189 + 3.09369i
\(435\) −0.0508240 + 1.77907i −0.00243683 + 0.0853000i
\(436\) 9.34765 + 17.7158i 0.447671 + 0.848431i
\(437\) 4.20641 20.7594i 0.201220 0.993059i
\(438\) −4.54727 + 17.2996i −0.217277 + 0.826608i
\(439\) −28.7321 8.43650i −1.37131 0.402652i −0.488572 0.872524i \(-0.662482\pi\)
−0.882735 + 0.469872i \(0.844300\pi\)
\(440\) 1.49930 + 0.828861i 0.0714765 + 0.0395144i
\(441\) 13.8438 4.06490i 0.659228 0.193567i
\(442\) 1.49102 + 52.1926i 0.0709207 + 2.48255i
\(443\) −13.4983 + 7.62286i −0.641326 + 0.362173i −0.777838 0.628465i \(-0.783683\pi\)
0.136512 + 0.990638i \(0.456411\pi\)
\(444\) 10.2574 7.45247i 0.486797 0.353679i
\(445\) 1.11102 0.469522i 0.0526675 0.0222575i
\(446\) 32.7668 + 5.67051i 1.55155 + 0.268506i
\(447\) −1.10948 + 12.9174i −0.0524764 + 0.610972i
\(448\) −3.87505 45.1164i −0.183079 2.13155i
\(449\) −33.0300 + 5.71607i −1.55878 + 0.269758i −0.883725 0.468006i \(-0.844972\pi\)
−0.675058 + 0.737764i \(0.735882\pi\)
\(450\) −1.77750 + 1.14233i −0.0837919 + 0.0538498i
\(451\) 32.1604 + 22.9234i 1.51437 + 1.07942i
\(452\) −11.4036 7.32867i −0.536382 0.344712i
\(453\) 1.44447 + 0.610440i 0.0678673 + 0.0286810i
\(454\) 10.3232 2.40055i 0.484491 0.112664i
\(455\) 11.2758 28.9617i 0.528619 1.35775i
\(456\) 0.922087 + 1.52911i 0.0431807 + 0.0716071i
\(457\) 3.46790 10.6731i 0.162222 0.499267i −0.836599 0.547816i \(-0.815460\pi\)
0.998821 + 0.0485484i \(0.0154595\pi\)
\(458\) −10.8155 + 14.0258i −0.505377 + 0.655384i
\(459\) −7.67780 19.7203i −0.358369 0.920463i
\(460\) 10.9389 + 15.9977i 0.510030 + 0.745895i
\(461\) −2.38193 + 16.5667i −0.110938 + 0.771588i 0.856074 + 0.516854i \(0.172897\pi\)
−0.967011 + 0.254734i \(0.918012\pi\)
\(462\) 39.4153 19.8249i 1.83377 0.922336i
\(463\) 4.85878 + 33.7936i 0.225807 + 1.57052i 0.715492 + 0.698621i \(0.246202\pi\)
−0.489686 + 0.871899i \(0.662888\pi\)
\(464\) −3.20595 + 2.94240i −0.148833 + 0.136597i
\(465\) −9.87825 0.564859i −0.458093 0.0261947i
\(466\) −3.56367 17.5874i −0.165084 0.814721i
\(467\) 11.5586 9.45140i 0.534867 0.437359i −0.326607 0.945160i \(-0.605905\pi\)
0.861474 + 0.507802i \(0.169542\pi\)
\(468\) 14.0115 + 6.88900i 0.647683 + 0.318444i
\(469\) −27.1651 + 9.69248i −1.25437 + 0.447557i
\(470\) −4.34318 5.63234i −0.200336 0.259800i
\(471\) −2.29798 + 3.81078i −0.105886 + 0.175591i
\(472\) 1.12573 + 1.29916i 0.0518160 + 0.0597989i
\(473\) 1.31335 + 1.48822i 0.0603881 + 0.0684283i
\(474\) 9.16202 10.5735i 0.420826 0.485659i
\(475\) −0.760095 2.33933i −0.0348756 0.107336i
\(476\) 36.4079 + 12.9903i 1.66875 + 0.595410i
\(477\) −5.01692 5.16229i −0.229709 0.236365i
\(478\) 39.2867 + 36.0570i 1.79693 + 1.64921i
\(479\) −2.74085 + 4.00837i −0.125233 + 0.183147i −0.882993 0.469386i \(-0.844475\pi\)
0.757760 + 0.652533i \(0.226294\pi\)
\(480\) 11.1116 + 2.58390i 0.507174 + 0.117938i
\(481\) 21.9536 + 15.9502i 1.00100 + 0.727267i
\(482\) −12.7035 1.45759i −0.578629 0.0663915i
\(483\) 55.5631 2.52821
\(484\) −19.7609 + 14.9119i −0.898223 + 0.677812i
\(485\) 5.64758 0.256444
\(486\) −20.7242 2.37789i −0.940071 0.107863i
\(487\) −4.09176 2.97284i −0.185415 0.134712i 0.491206 0.871044i \(-0.336556\pi\)
−0.676621 + 0.736332i \(0.736556\pi\)
\(488\) −1.89837 0.441447i −0.0859351 0.0199834i
\(489\) −0.449533 + 0.657421i −0.0203286 + 0.0297296i
\(490\) −21.3841 19.6261i −0.966034 0.886618i
\(491\) −17.6983 18.2111i −0.798712 0.821855i 0.188366 0.982099i \(-0.439681\pi\)
−0.987077 + 0.160244i \(0.948772\pi\)
\(492\) −35.4732 12.6568i −1.59926 0.570614i
\(493\) −1.46408 4.50596i −0.0659387 0.202938i
\(494\) −22.4807 + 25.9441i −1.01145 + 1.16728i
\(495\) −0.514210 3.35992i −0.0231120 0.151017i
\(496\) −15.8420 18.2826i −0.711325 0.820913i
\(497\) 21.5025 35.6579i 0.964520 1.59948i
\(498\) −14.7326 19.1055i −0.660182 0.856140i
\(499\) 21.2253 7.57318i 0.950176 0.339022i 0.184924 0.982753i \(-0.440796\pi\)
0.765252 + 0.643731i \(0.222614\pi\)
\(500\) 2.01963 + 0.992986i 0.0903207 + 0.0444077i
\(501\) −18.6592 + 15.2575i −0.833630 + 0.681656i
\(502\) 8.14804 + 40.2122i 0.363665 + 1.79476i
\(503\) −33.3556 1.90734i −1.48725 0.0850442i −0.705534 0.708676i \(-0.749293\pi\)
−0.781718 + 0.623632i \(0.785656\pi\)
\(504\) 1.79059 1.64338i 0.0797590 0.0732022i
\(505\) −0.716856 4.98585i −0.0318997 0.221867i
\(506\) −57.9267 + 10.5663i −2.57515 + 0.469728i
\(507\) 6.56540 45.6634i 0.291580 2.02798i
\(508\) −0.389619 0.569799i −0.0172865 0.0252807i
\(509\) −3.75204 9.63704i −0.166306 0.427154i 0.823906 0.566727i \(-0.191791\pi\)
−0.990212 + 0.139573i \(0.955427\pi\)
\(510\) −6.61948 + 8.58429i −0.293115 + 0.380119i
\(511\) −8.75836 + 26.9555i −0.387447 + 1.19244i
\(512\) 16.2366 + 26.9254i 0.717564 + 1.18995i
\(513\) 5.04791 12.9655i 0.222871 0.572439i
\(514\) 22.3246 5.19136i 0.984695 0.228981i
\(515\) 10.8560 + 4.58778i 0.478372 + 0.202162i
\(516\) −1.59239 1.02337i −0.0701010 0.0450512i
\(517\) 11.1204 2.69242i 0.489076 0.118413i
\(518\) 31.9199 20.5137i 1.40248 0.901320i
\(519\) −9.34578 + 1.61735i −0.410234 + 0.0709939i
\(520\) −0.299228 3.48385i −0.0131220 0.152777i
\(521\) 2.06566 24.0500i 0.0904980 1.05365i −0.800406 0.599458i \(-0.795383\pi\)
0.890904 0.454191i \(-0.150072\pi\)
\(522\) −2.63660 0.456282i −0.115401 0.0199709i
\(523\) −41.2461 + 17.4308i −1.80357 + 0.762194i −0.822435 + 0.568859i \(0.807385\pi\)
−0.981133 + 0.193336i \(0.938069\pi\)
\(524\) −17.4143 + 12.6523i −0.760749 + 0.552717i
\(525\) 5.61837 3.17284i 0.245206 0.138474i
\(526\) 0.144685 + 5.06462i 0.00630855 + 0.220828i
\(527\) 25.2721 7.42055i 1.10087 0.323244i
\(528\) −9.66508 + 12.7717i −0.420619 + 0.555815i
\(529\) −49.0820 14.4118i −2.13400 0.626599i
\(530\) −3.68140 + 14.0055i −0.159910 + 0.608360i
\(531\) 0.677333 3.34277i 0.0293938 0.145064i
\(532\) 11.8604 + 22.4779i 0.514213 + 0.974542i
\(533\) 2.30190 80.5769i 0.0997063 3.49017i
\(534\) −0.888452 3.38002i −0.0384471 0.146268i
\(535\) 11.3356 0.648191i 0.490079 0.0280237i
\(536\) −2.26156 + 2.32709i −0.0976846 + 0.100515i
\(537\) −31.9574 + 15.7124i −1.37906 + 0.678040i
\(538\) 2.16354 4.73748i 0.0932766 0.204247i
\(539\) 42.8433 18.5652i 1.84539 0.799660i
\(540\) 5.28833 + 11.5798i 0.227574 + 0.498317i
\(541\) 21.0759 + 17.2337i 0.906123 + 0.740933i 0.966344 0.257252i \(-0.0828170\pi\)
−0.0602213 + 0.998185i \(0.519181\pi\)
\(542\) 27.8262 52.7365i 1.19524 2.26523i
\(543\) −27.8582 15.7323i −1.19551 0.675136i
\(544\) −30.1705 + 3.46175i −1.29355 + 0.148421i
\(545\) −8.84236 + 1.01457i −0.378765 + 0.0434592i
\(546\) −78.4126 44.2817i −3.35575 1.89508i
\(547\) −7.87281 + 14.9206i −0.336617 + 0.637960i −0.993217 0.116279i \(-0.962903\pi\)
0.656600 + 0.754239i \(0.271994\pi\)
\(548\) 23.6656 + 19.3512i 1.01094 + 0.826643i
\(549\) 1.60641 + 3.51754i 0.0685599 + 0.150125i
\(550\) −5.25400 + 4.37624i −0.224031 + 0.186603i
\(551\) 1.29401 2.83349i 0.0551268 0.120711i
\(552\) 5.60990 2.75820i 0.238773 0.117397i
\(553\) 15.4502 15.8978i 0.657007 0.676045i
\(554\) −16.0328 + 0.916787i −0.681167 + 0.0389505i
\(555\) 1.43219 + 5.44863i 0.0607932 + 0.231281i
\(556\) −0.287412 + 10.0607i −0.0121890 + 0.426669i
\(557\) 17.8179 + 33.7687i 0.754969 + 1.43083i 0.897491 + 0.441033i \(0.145388\pi\)
−0.142522 + 0.989792i \(0.545521\pi\)
\(558\) 2.95412 14.5792i 0.125058 0.617186i
\(559\) 1.02990 3.91815i 0.0435601 0.165720i
\(560\) 15.1367 + 4.44455i 0.639644 + 0.187816i
\(561\) −8.27741 15.3487i −0.349472 0.648023i
\(562\) 40.8881 12.0058i 1.72476 0.506436i
\(563\) −1.05980 37.0978i −0.0446652 1.56349i −0.645280 0.763947i \(-0.723259\pi\)
0.600614 0.799539i \(-0.294923\pi\)
\(564\) −9.50110 + 5.36552i −0.400068 + 0.225929i
\(565\) 4.87290 3.54037i 0.205004 0.148944i
\(566\) −28.1903 + 11.9133i −1.18493 + 0.500754i
\(567\) 22.0546 + 3.81669i 0.926204 + 0.160286i
\(568\) 0.400899 4.66758i 0.0168213 0.195847i
\(569\) 3.44297 + 40.0858i 0.144337 + 1.68049i 0.607583 + 0.794256i \(0.292139\pi\)
−0.463246 + 0.886230i \(0.653316\pi\)
\(570\) −7.02264 + 1.21532i −0.294146 + 0.0509039i
\(571\) 37.0501 23.8107i 1.55050 0.996445i 0.565329 0.824866i \(-0.308749\pi\)
0.985170 0.171580i \(-0.0548871\pi\)
\(572\) 47.7420 + 16.5480i 1.99619 + 0.691907i
\(573\) −14.7429 9.47469i −0.615894 0.395811i
\(574\) −103.823 43.8760i −4.33349 1.83135i
\(575\) −8.38749 + 1.95043i −0.349782 + 0.0813384i
\(576\) −3.66731 + 9.41941i −0.152805 + 0.392476i
\(577\) −17.3974 28.8503i −0.724262 1.20105i −0.972624 0.232386i \(-0.925347\pi\)
0.248362 0.968667i \(-0.420108\pi\)
\(578\) −1.91348 + 5.88910i −0.0795904 + 0.244954i
\(579\) −4.29136 + 5.56514i −0.178343 + 0.231279i
\(580\) 1.03403 + 2.65589i 0.0429359 + 0.110280i
\(581\) −21.5777 31.5563i −0.895193 1.30918i
\(582\) 2.32882 16.1973i 0.0965326 0.671399i
\(583\) −18.1673 14.5825i −0.752412 0.603947i
\(584\) 0.453810 + 3.15632i 0.0187788 + 0.130609i
\(585\) −5.11126 + 4.69107i −0.211324 + 0.193952i
\(586\) −13.5657 0.775716i −0.560394 0.0320445i
\(587\) 5.40159 + 26.6579i 0.222948 + 1.10029i 0.922586 + 0.385792i \(0.126072\pi\)
−0.699638 + 0.714497i \(0.746655\pi\)
\(588\) −34.4716 + 28.1873i −1.42158 + 1.16242i
\(589\) 15.5403 + 7.64065i 0.640327 + 0.314828i
\(590\) −6.46228 + 2.30574i −0.266048 + 0.0949257i
\(591\) 2.09229 + 2.71333i 0.0860652 + 0.111611i
\(592\) −7.11295 + 11.7955i −0.292341 + 0.484792i
\(593\) −10.3454 11.9392i −0.424834 0.490284i 0.502470 0.864595i \(-0.332425\pi\)
−0.927303 + 0.374311i \(0.877879\pi\)
\(594\) −38.6768 + 0.350595i −1.58693 + 0.0143851i
\(595\) −11.2481 + 12.9810i −0.461126 + 0.532168i
\(596\) 6.41564 + 19.7453i 0.262795 + 0.808800i
\(597\) 27.9254 + 9.96375i 1.14291 + 0.407789i
\(598\) 83.7600 + 86.1871i 3.42520 + 3.52445i
\(599\) −27.3061 25.0613i −1.11570 1.02398i −0.999527 0.0307471i \(-0.990211\pi\)
−0.116169 0.993229i \(-0.537061\pi\)
\(600\) 0.409753 0.599245i 0.0167281 0.0244641i
\(601\) −2.31682 0.538754i −0.0945051 0.0219762i 0.178978 0.983853i \(-0.442721\pi\)
−0.273483 + 0.961877i \(0.588176\pi\)
\(602\) −4.58283 3.32962i −0.186782 0.135705i
\(603\) 6.39635 + 0.733913i 0.260479 + 0.0298872i
\(604\) 2.51118 0.102179
\(605\) −2.98880 10.5862i −0.121512 0.430389i
\(606\) −14.5950 −0.592882
\(607\) 33.5735 + 3.85220i 1.36270 + 0.156356i 0.764312 0.644847i \(-0.223079\pi\)
0.598393 + 0.801203i \(0.295806\pi\)
\(608\) −16.1531 11.7359i −0.655095 0.475954i
\(609\) 7.95892 + 1.85077i 0.322512 + 0.0749969i
\(610\) 4.39093 6.42153i 0.177784 0.260000i
\(611\) −17.2053 15.7909i −0.696054 0.638832i
\(612\) −6.01383 6.18808i −0.243095 0.250138i
\(613\) −10.7843 3.84782i −0.435572 0.155412i 0.109156 0.994025i \(-0.465185\pi\)
−0.544728 + 0.838613i \(0.683367\pi\)
\(614\) 0.498720 + 1.53490i 0.0201267 + 0.0619437i
\(615\) 10.9593 12.6477i 0.441923 0.510006i
\(616\) 5.09660 5.99066i 0.205348 0.241371i
\(617\) 3.40468 + 3.92921i 0.137067 + 0.158184i 0.820133 0.572173i \(-0.193899\pi\)
−0.683066 + 0.730357i \(0.739354\pi\)
\(618\) 17.6343 29.2432i 0.709356 1.17633i
\(619\) −25.3500 32.8745i −1.01890 1.32134i −0.946060 0.323993i \(-0.894975\pi\)
−0.0728428 0.997343i \(-0.523207\pi\)
\(620\) −14.9230 + 5.32450i −0.599320 + 0.213837i
\(621\) −43.7122 21.4918i −1.75411 0.862438i
\(622\) 11.6929 9.56127i 0.468844 0.383372i
\(623\) −1.09972 5.42733i −0.0440593 0.217441i
\(624\) 32.6375 + 1.86628i 1.30654 + 0.0747109i
\(625\) −0.736741 + 0.676175i −0.0294696 + 0.0270470i
\(626\) −2.42243 16.8484i −0.0968198 0.673396i
\(627\) 2.81404 11.1145i 0.112382 0.443871i
\(628\) −1.01414 + 7.05353i −0.0404688 + 0.281467i
\(629\) −8.46496 12.3796i −0.337520 0.493608i
\(630\) 3.51947 + 9.03968i 0.140219 + 0.360149i
\(631\) 9.28551 12.0417i 0.369650 0.479371i −0.569933 0.821691i \(-0.693031\pi\)
0.939583 + 0.342320i \(0.111213\pi\)
\(632\) 0.770733 2.37207i 0.0306581 0.0943560i
\(633\) 14.8843 + 24.6828i 0.591597 + 0.981054i
\(634\) 25.0752 64.4051i 0.995863 2.55785i
\(635\) 0.298742 0.0694695i 0.0118552 0.00275681i
\(636\) 20.4639 + 8.64813i 0.811448 + 0.342921i
\(637\) −80.1740 51.5247i −3.17661 2.04148i
\(638\) −8.64943 0.415972i −0.342434 0.0164685i
\(639\) −7.81939 + 5.02521i −0.309330 + 0.198794i
\(640\) 4.03983 0.699120i 0.159688 0.0276351i
\(641\) −1.62442 18.9128i −0.0641607 0.747010i −0.955753 0.294171i \(-0.904957\pi\)
0.891592 0.452839i \(-0.149589\pi\)
\(642\) 2.81528 32.7777i 0.111110 1.29363i
\(643\) 3.84709 + 0.665765i 0.151714 + 0.0262552i 0.245873 0.969302i \(-0.420925\pi\)
−0.0941589 + 0.995557i \(0.530016\pi\)
\(644\) 81.9580 34.6357i 3.22960 1.36484i
\(645\) 0.680445 0.494372i 0.0267925 0.0194659i
\(646\) 16.5200 9.32927i 0.649970 0.367055i
\(647\) −0.979787 34.2970i −0.0385194 1.34836i −0.757277 0.653094i \(-0.773471\pi\)
0.718757 0.695261i \(-0.244711\pi\)
\(648\) 2.41619 0.709457i 0.0949169 0.0278701i
\(649\) 0.844834 11.0054i 0.0331626 0.431999i
\(650\) 13.3911 + 3.93199i 0.525243 + 0.154225i
\(651\) −11.5482 + 43.9339i −0.452610 + 1.72191i
\(652\) −0.253272 + 1.24994i −0.00991888 + 0.0489516i
\(653\) −11.0081 20.8626i −0.430779 0.816418i 0.569204 0.822196i \(-0.307252\pi\)
−0.999983 + 0.00577862i \(0.998161\pi\)
\(654\) −0.736425 + 25.7782i −0.0287965 + 1.00801i
\(655\) −2.43147 9.25028i −0.0950055 0.361438i
\(656\) 40.8505 2.33592i 1.59494 0.0912022i
\(657\) 4.40936 4.53712i 0.172025 0.177010i
\(658\) −29.3036 + 14.4076i −1.14237 + 0.561668i
\(659\) 3.28500 7.19315i 0.127966 0.280205i −0.834795 0.550561i \(-0.814414\pi\)
0.962761 + 0.270355i \(0.0871412\pi\)
\(660\) 5.49832 + 8.93380i 0.214022 + 0.347748i
\(661\) 6.90296 + 15.1154i 0.268494 + 0.587920i 0.995071 0.0991654i \(-0.0316173\pi\)
−0.726577 + 0.687085i \(0.758890\pi\)
\(662\) 12.6358 + 10.3322i 0.491103 + 0.401573i
\(663\) −16.6101 + 31.4796i −0.645082 + 1.22257i
\(664\) −3.74506 2.11493i −0.145336 0.0820753i
\(665\) −11.2193 + 1.28729i −0.435064 + 0.0499190i
\(666\) −8.41465 + 0.965491i −0.326061 + 0.0374120i
\(667\) −9.49576 5.36250i −0.367677 0.207637i
\(668\) −18.0122 + 34.1369i −0.696912 + 1.32079i
\(669\) 17.5485 + 14.3493i 0.678464 + 0.554777i
\(670\) −5.38043 11.7815i −0.207864 0.455159i
\(671\) 6.55929 + 10.6577i 0.253219 + 0.411436i
\(672\) 21.7578 47.6428i 0.839324 1.83786i
\(673\) 25.7533 12.6620i 0.992715 0.488085i 0.128772 0.991674i \(-0.458897\pi\)
0.863943 + 0.503589i \(0.167987\pi\)
\(674\) 43.5839 44.8468i 1.67879 1.72743i
\(675\) −5.64730 + 0.322924i −0.217365 + 0.0124294i
\(676\) −18.7804 71.4480i −0.722323 2.74800i
\(677\) −0.349210 + 12.2239i −0.0134212 + 0.469805i 0.964889 + 0.262659i \(0.0845993\pi\)
−0.978310 + 0.207146i \(0.933583\pi\)
\(678\) −8.14440 15.4354i −0.312784 0.592791i
\(679\) 5.14920 25.4123i 0.197608 0.975235i
\(680\) −0.491269 + 1.86898i −0.0188393 + 0.0716721i
\(681\) 6.93217 + 2.03547i 0.265641 + 0.0779994i
\(682\) 3.68466 47.9989i 0.141093 1.83797i
\(683\) −2.00553 + 0.588877i −0.0767395 + 0.0225327i −0.319877 0.947459i \(-0.603642\pi\)
0.243137 + 0.969992i \(0.421823\pi\)
\(684\) −0.162006 5.67094i −0.00619444 0.216834i
\(685\) −11.8277 + 6.67942i −0.451914 + 0.255207i
\(686\) −54.2043 + 39.3817i −2.06953 + 1.50360i
\(687\) −11.1212 + 4.69987i −0.424302 + 0.179311i
\(688\) 2.02628 + 0.350661i 0.0772511 + 0.0133688i
\(689\) −4.06897 + 47.3741i −0.155015 + 1.80481i
\(690\) 2.13519 + 24.8596i 0.0812854 + 0.946388i
\(691\) −50.0610 + 8.66339i −1.90441 + 0.329571i −0.996063 0.0886478i \(-0.971745\pi\)
−0.908346 + 0.418219i \(0.862655\pi\)
\(692\) −12.7772 + 8.21144i −0.485718 + 0.312152i
\(693\) −15.5874 0.749634i −0.592115 0.0284762i
\(694\) 38.0044 + 24.4239i 1.44263 + 0.927119i
\(695\) −4.11943 1.74089i −0.156259 0.0660355i
\(696\) 0.895441 0.208226i 0.0339416 0.00789278i
\(697\) −16.1630 + 41.5143i −0.612217 + 1.57247i
\(698\) −18.3895 30.4956i −0.696054 1.15428i
\(699\) 3.78007 11.6339i 0.142975 0.440033i
\(700\) 6.30953 8.18234i 0.238478 0.309263i
\(701\) −10.8611 27.8965i −0.410218 1.05364i −0.973766 0.227553i \(-0.926927\pi\)
0.563547 0.826084i \(-0.309436\pi\)
\(702\) 44.5600 + 65.1670i 1.68181 + 2.45957i
\(703\) 1.40323 9.75971i 0.0529240 0.368094i
\(704\) −8.02890 + 31.7115i −0.302600 + 1.19517i
\(705\) −0.689994 4.79902i −0.0259867 0.180741i
\(706\) −23.4174 + 21.4923i −0.881325 + 0.808873i
\(707\) −23.0883 1.32024i −0.868325 0.0496526i
\(708\) 2.09040 + 10.3166i 0.0785622 + 0.387720i
\(709\) −21.2463 + 17.3730i −0.797920 + 0.652456i −0.941436 0.337192i \(-0.890523\pi\)
0.143516 + 0.989648i \(0.454159\pi\)
\(710\) 16.7801 + 8.25020i 0.629745 + 0.309625i
\(711\) −4.66078 + 1.66296i −0.174793 + 0.0623660i
\(712\) −0.380450 0.493376i −0.0142580 0.0184901i
\(713\) 31.3069 51.9167i 1.17245 1.94430i
\(714\) 32.5912 + 37.6123i 1.21970 + 1.40760i
\(715\) −14.5483 + 17.1005i −0.544077 + 0.639521i
\(716\) −37.3441 + 43.0974i −1.39562 + 1.61063i
\(717\) 11.2329 + 34.5712i 0.419499 + 1.29109i
\(718\) 12.6567 + 4.51590i 0.472344 + 0.168532i
\(719\) 21.9081 + 22.5429i 0.817034 + 0.840709i 0.989534 0.144301i \(-0.0460934\pi\)
−0.172499 + 0.985010i \(0.555184\pi\)
\(720\) −2.59445 2.38117i −0.0966896 0.0887409i
\(721\) 30.5415 44.6656i 1.13743 1.66343i
\(722\) −26.0045 6.04709i −0.967788 0.225049i
\(723\) −7.05180 5.12343i −0.262259 0.190542i
\(724\) −50.8989 5.84011i −1.89164 0.217046i
\(725\) −1.26640 −0.0470329
\(726\) −31.5936 + 4.20660i −1.17255 + 0.156122i
\(727\) 8.16005 0.302640 0.151320 0.988485i \(-0.451648\pi\)
0.151320 + 0.988485i \(0.451648\pi\)
\(728\) −15.9490 1.82998i −0.591110 0.0678235i
\(729\) −23.3364 16.9549i −0.864310 0.627958i
\(730\) −12.3968 2.88274i −0.458825 0.106695i
\(731\) −1.26376 + 1.84819i −0.0467420 + 0.0683579i
\(732\) −8.79259 8.06976i −0.324983 0.298267i
\(733\) 0.271419 + 0.279284i 0.0100251 + 0.0103156i 0.722126 0.691762i \(-0.243165\pi\)
−0.712101 + 0.702077i \(0.752256\pi\)
\(734\) 33.9788 + 12.1236i 1.25418 + 0.447490i
\(735\) −6.11415 18.8174i −0.225524 0.694091i
\(736\) −45.7751 + 52.8273i −1.68729 + 1.94724i
\(737\) 20.8349 0.188863i 0.767463 0.00695686i
\(738\) 16.4765 + 19.0149i 0.606509 + 0.699948i
\(739\) −12.5658 + 20.8380i −0.462241 + 0.766540i −0.996913 0.0785198i \(-0.974981\pi\)
0.534672 + 0.845060i \(0.320435\pi\)
\(740\) 5.50899 + 7.14419i 0.202515 + 0.262626i
\(741\) −22.0403 + 7.86398i −0.809672 + 0.288890i
\(742\) 59.6637 + 29.3347i 2.19032 + 1.07691i
\(743\) 27.2183 22.2563i 0.998541 0.816503i 0.0154985 0.999880i \(-0.495066\pi\)
0.983043 + 0.183377i \(0.0587028\pi\)
\(744\) 1.01496 + 5.00903i 0.0372103 + 0.183640i
\(745\) −9.21005 0.526650i −0.337430 0.0192950i
\(746\) 11.8318 10.8592i 0.433195 0.397582i
\(747\) 1.21444 + 8.44660i 0.0444339 + 0.309045i
\(748\) −21.7773 17.4802i −0.796256 0.639140i
\(749\) 7.41858 51.5974i 0.271069 1.88533i
\(750\) 1.63547 + 2.39180i 0.0597189 + 0.0873361i
\(751\) 16.6245 + 42.6996i 0.606635 + 1.55813i 0.814618 + 0.579997i \(0.196946\pi\)
−0.207983 + 0.978132i \(0.566690\pi\)
\(752\) 7.23865 9.38725i 0.263966 0.342318i
\(753\) −8.64281 + 26.5998i −0.314962 + 0.969352i
\(754\) 9.12705 + 15.1355i 0.332388 + 0.551203i
\(755\) −0.404826 + 1.03979i −0.0147331 + 0.0378417i
\(756\) 56.9272 13.2379i 2.07042 0.481456i
\(757\) 4.99891 + 2.11256i 0.181688 + 0.0767822i 0.478217 0.878242i \(-0.341283\pi\)
−0.296528 + 0.955024i \(0.595829\pi\)
\(758\) −7.05112 4.53148i −0.256108 0.164591i
\(759\) −37.9252 13.1454i −1.37660 0.477147i
\(760\) −1.06884 + 0.686904i −0.0387710 + 0.0249166i
\(761\) 2.07553 0.359184i 0.0752378 0.0130204i −0.132779 0.991146i \(-0.542390\pi\)
0.208017 + 0.978125i \(0.433299\pi\)
\(762\) −0.0760504 0.885439i −0.00275502 0.0320761i
\(763\) −3.49682 + 40.7128i −0.126594 + 1.47390i
\(764\) −27.6526 4.78546i −1.00043 0.173132i
\(765\) 3.53173 1.49252i 0.127690 0.0539623i
\(766\) −9.58900 + 6.96682i −0.346465 + 0.251721i
\(767\) −19.6169 + 11.0781i −0.708324 + 0.400009i
\(768\) 0.452435 + 15.8373i 0.0163258 + 0.571479i
\(769\) 41.5336 12.1954i 1.49774 0.439776i 0.572738 0.819738i \(-0.305881\pi\)
0.925002 + 0.379962i \(0.124063\pi\)
\(770\) 14.9013 + 27.6314i 0.537006 + 0.995765i
\(771\) 14.9913 + 4.40184i 0.539898 + 0.158528i
\(772\) −2.86087 + 10.8839i −0.102965 + 0.391719i
\(773\) 3.63406 17.9348i <