Properties

Label 144.2.x.e.133.17
Level $144$
Weight $2$
Character 144.133
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 133.17
Character \(\chi\) \(=\) 144.133
Dual form 144.2.x.e.13.17

$q$-expansion

\(f(q)\) \(=\) \(q+(1.30272 - 0.550382i) q^{2} +(-1.21980 + 1.22967i) q^{3} +(1.39416 - 1.43399i) q^{4} +(-0.0468197 + 0.174734i) q^{5} +(-0.912266 + 2.27327i) q^{6} +(4.04791 + 2.33706i) q^{7} +(1.02696 - 2.63540i) q^{8} +(-0.0241875 - 2.99990i) q^{9} +O(q^{10})\) \(q+(1.30272 - 0.550382i) q^{2} +(-1.21980 + 1.22967i) q^{3} +(1.39416 - 1.43399i) q^{4} +(-0.0468197 + 0.174734i) q^{5} +(-0.912266 + 2.27327i) q^{6} +(4.04791 + 2.33706i) q^{7} +(1.02696 - 2.63540i) q^{8} +(-0.0241875 - 2.99990i) q^{9} +(0.0351772 + 0.253398i) q^{10} +(-0.598734 + 0.160430i) q^{11} +(0.0627420 + 3.46353i) q^{12} +(-4.41237 - 1.18229i) q^{13} +(6.55957 + 0.816641i) q^{14} +(-0.157754 - 0.270713i) q^{15} +(-0.112639 - 3.99841i) q^{16} -4.34691 q^{17} +(-1.68260 - 3.89472i) q^{18} +(-1.23918 + 1.23918i) q^{19} +(0.185292 + 0.310745i) q^{20} +(-7.81146 + 2.12686i) q^{21} +(-0.691685 + 0.538528i) q^{22} +(-3.86311 + 2.23037i) q^{23} +(1.98800 + 4.47748i) q^{24} +(4.30179 + 2.48364i) q^{25} +(-6.39880 + 0.888296i) q^{26} +(3.71840 + 3.62953i) q^{27} +(8.99475 - 2.54642i) q^{28} +(-2.31752 - 8.64910i) q^{29} +(-0.354505 - 0.265837i) q^{30} +(-2.25376 - 3.90364i) q^{31} +(-2.34739 - 5.14682i) q^{32} +(0.533058 - 0.931939i) q^{33} +(-5.66281 + 2.39246i) q^{34} +(-0.597886 + 0.597886i) q^{35} +(-4.33554 - 4.14766i) q^{36} +(2.79692 + 2.79692i) q^{37} +(-0.932282 + 2.29633i) q^{38} +(6.83604 - 3.98362i) q^{39} +(0.412412 + 0.302833i) q^{40} +(3.67211 - 2.12009i) q^{41} +(-9.00555 + 7.06999i) q^{42} +(-0.0131254 + 0.00351694i) q^{43} +(-0.604676 + 1.08224i) q^{44} +(0.525316 + 0.136228i) q^{45} +(-3.80500 + 5.03173i) q^{46} +(-1.17465 + 2.03456i) q^{47} +(5.05414 + 4.73875i) q^{48} +(7.42373 + 12.8583i) q^{49} +(6.97097 + 0.867859i) q^{50} +(5.30235 - 5.34528i) q^{51} +(-7.84695 + 4.67899i) q^{52} +(-0.519418 - 0.519418i) q^{53} +(6.84166 + 2.68172i) q^{54} -0.112130i q^{55} +(10.3161 - 8.26782i) q^{56} +(-0.0122364 - 3.03533i) q^{57} +(-7.77939 - 9.99184i) q^{58} +(-2.95679 + 11.0349i) q^{59} +(-0.608133 - 0.151199i) q^{60} +(0.588805 + 2.19745i) q^{61} +(-5.08451 - 3.84491i) q^{62} +(6.91305 - 12.1999i) q^{63} +(-5.89071 - 5.41290i) q^{64} +(0.413172 - 0.715636i) q^{65} +(0.181503 - 1.50744i) q^{66} +(7.04291 + 1.88714i) q^{67} +(-6.06029 + 6.23342i) q^{68} +(1.96959 - 7.47096i) q^{69} +(-0.449812 + 1.10794i) q^{70} -7.55145i q^{71} +(-7.93080 - 3.01703i) q^{72} -2.92707i q^{73} +(5.18298 + 2.10423i) q^{74} +(-8.30137 + 2.26025i) q^{75} +(0.0493539 + 3.50458i) q^{76} +(-2.79856 - 0.749872i) q^{77} +(6.71293 - 8.95197i) q^{78} +(1.45885 - 2.52680i) q^{79} +(0.703931 + 0.167523i) q^{80} +(-8.99883 + 0.145120i) q^{81} +(3.61687 - 4.78295i) q^{82} +(1.99394 + 7.44148i) q^{83} +(-7.84052 + 14.1667i) q^{84} +(0.203521 - 0.759552i) q^{85} +(-0.0151631 + 0.0118056i) q^{86} +(13.4625 + 7.70036i) q^{87} +(-0.192077 + 1.74266i) q^{88} +3.18821i q^{89} +(0.759318 - 0.111657i) q^{90} +(-15.0978 - 15.0978i) q^{91} +(-2.18747 + 8.64914i) q^{92} +(7.54933 + 1.99025i) q^{93} +(-0.410459 + 3.29697i) q^{94} +(-0.158508 - 0.274544i) q^{95} +(9.19224 + 3.39156i) q^{96} +(8.03868 - 13.9234i) q^{97} +(16.7480 + 12.6648i) q^{98} +(0.495757 + 1.79226i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} + O(q^{10}) \) \( 72 q + 4 q^{2} + 2 q^{3} - 2 q^{4} + 4 q^{5} - 28 q^{6} - 8 q^{8} - 20 q^{10} - 2 q^{11} + 8 q^{12} - 16 q^{13} - 4 q^{14} - 20 q^{15} - 10 q^{16} - 16 q^{17} + 28 q^{19} + 12 q^{20} - 16 q^{21} - 8 q^{22} - 40 q^{24} - 4 q^{26} + 8 q^{27} - 16 q^{28} + 4 q^{29} + 18 q^{30} + 28 q^{31} - 46 q^{32} - 32 q^{33} - 14 q^{34} - 16 q^{35} + 14 q^{36} + 16 q^{37} + 2 q^{38} - 10 q^{40} + 26 q^{42} - 10 q^{43} + 60 q^{44} + 40 q^{45} + 20 q^{46} - 56 q^{47} + 2 q^{48} + 4 q^{49} - 36 q^{50} - 54 q^{51} + 6 q^{52} - 8 q^{53} + 92 q^{54} + 52 q^{56} - 14 q^{58} - 14 q^{59} + 18 q^{60} - 32 q^{61} + 16 q^{62} - 108 q^{63} - 44 q^{64} - 64 q^{65} + 26 q^{66} - 18 q^{67} + 16 q^{68} + 32 q^{69} + 14 q^{70} + 114 q^{72} + 38 q^{74} + 86 q^{75} + 10 q^{76} - 36 q^{77} + 16 q^{78} + 44 q^{79} + 144 q^{80} - 44 q^{81} - 88 q^{82} + 20 q^{83} - 58 q^{84} - 8 q^{85} + 76 q^{86} - 42 q^{88} - 80 q^{91} - 68 q^{92} - 4 q^{93} + 20 q^{94} + 48 q^{95} + 94 q^{96} + 40 q^{97} + 88 q^{98} + 28 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{3}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.30272 0.550382i 0.921162 0.389179i
\(3\) −1.21980 + 1.22967i −0.704250 + 0.709952i
\(4\) 1.39416 1.43399i 0.697080 0.716994i
\(5\) −0.0468197 + 0.174734i −0.0209384 + 0.0781432i −0.975604 0.219536i \(-0.929546\pi\)
0.954666 + 0.297679i \(0.0962125\pi\)
\(6\) −0.912266 + 2.27327i −0.372431 + 0.928060i
\(7\) 4.04791 + 2.33706i 1.52997 + 0.883327i 0.999362 + 0.0357075i \(0.0113685\pi\)
0.530605 + 0.847619i \(0.321965\pi\)
\(8\) 1.02696 2.63540i 0.363085 0.931756i
\(9\) −0.0241875 2.99990i −0.00806251 0.999967i
\(10\) 0.0351772 + 0.253398i 0.0111240 + 0.0801314i
\(11\) −0.598734 + 0.160430i −0.180525 + 0.0483716i −0.347949 0.937513i \(-0.613122\pi\)
0.167424 + 0.985885i \(0.446455\pi\)
\(12\) 0.0627420 + 3.46353i 0.0181121 + 0.999836i
\(13\) −4.41237 1.18229i −1.22377 0.327909i −0.411621 0.911355i \(-0.635037\pi\)
−0.812152 + 0.583446i \(0.801704\pi\)
\(14\) 6.55957 + 0.816641i 1.75312 + 0.218257i
\(15\) −0.157754 0.270713i −0.0407320 0.0698977i
\(16\) −0.112639 3.99841i −0.0281598 0.999603i
\(17\) −4.34691 −1.05428 −0.527141 0.849778i \(-0.676736\pi\)
−0.527141 + 0.849778i \(0.676736\pi\)
\(18\) −1.68260 3.89472i −0.396593 0.917995i
\(19\) −1.23918 + 1.23918i −0.284287 + 0.284287i −0.834816 0.550529i \(-0.814426\pi\)
0.550529 + 0.834816i \(0.314426\pi\)
\(20\) 0.185292 + 0.310745i 0.0414325 + 0.0694848i
\(21\) −7.81146 + 2.12686i −1.70460 + 0.464119i
\(22\) −0.691685 + 0.538528i −0.147468 + 0.114815i
\(23\) −3.86311 + 2.23037i −0.805515 + 0.465064i −0.845396 0.534140i \(-0.820635\pi\)
0.0398812 + 0.999204i \(0.487302\pi\)
\(24\) 1.98800 + 4.47748i 0.405799 + 0.913962i
\(25\) 4.30179 + 2.48364i 0.860357 + 0.496728i
\(26\) −6.39880 + 0.888296i −1.25491 + 0.174209i
\(27\) 3.71840 + 3.62953i 0.715607 + 0.698504i
\(28\) 8.99475 2.54642i 1.69985 0.481227i
\(29\) −2.31752 8.64910i −0.430353 1.60610i −0.751949 0.659221i \(-0.770886\pi\)
0.321597 0.946877i \(-0.395780\pi\)
\(30\) −0.354505 0.265837i −0.0647235 0.0485351i
\(31\) −2.25376 3.90364i −0.404788 0.701114i 0.589509 0.807762i \(-0.299321\pi\)
−0.994297 + 0.106648i \(0.965988\pi\)
\(32\) −2.34739 5.14682i −0.414964 0.909838i
\(33\) 0.533058 0.931939i 0.0927935 0.162230i
\(34\) −5.66281 + 2.39246i −0.971164 + 0.410304i
\(35\) −0.597886 + 0.597886i −0.101061 + 0.101061i
\(36\) −4.33554 4.14766i −0.722591 0.691276i
\(37\) 2.79692 + 2.79692i 0.459811 + 0.459811i 0.898593 0.438783i \(-0.144590\pi\)
−0.438783 + 0.898593i \(0.644590\pi\)
\(38\) −0.932282 + 2.29633i −0.151236 + 0.372513i
\(39\) 6.83604 3.98362i 1.09464 0.637889i
\(40\) 0.412412 + 0.302833i 0.0652080 + 0.0478821i
\(41\) 3.67211 2.12009i 0.573487 0.331103i −0.185054 0.982728i \(-0.559246\pi\)
0.758541 + 0.651626i \(0.225913\pi\)
\(42\) −9.00555 + 7.06999i −1.38959 + 1.09092i
\(43\) −0.0131254 + 0.00351694i −0.00200161 + 0.000536329i −0.259820 0.965657i \(-0.583663\pi\)
0.257818 + 0.966193i \(0.416996\pi\)
\(44\) −0.604676 + 1.08224i −0.0911583 + 0.163154i
\(45\) 0.525316 + 0.136228i 0.0783095 + 0.0203077i
\(46\) −3.80500 + 5.03173i −0.561017 + 0.741889i
\(47\) −1.17465 + 2.03456i −0.171341 + 0.296771i −0.938889 0.344221i \(-0.888143\pi\)
0.767548 + 0.640991i \(0.221477\pi\)
\(48\) 5.05414 + 4.73875i 0.729502 + 0.683979i
\(49\) 7.42373 + 12.8583i 1.06053 + 1.83690i
\(50\) 6.97097 + 0.867859i 0.985845 + 0.122734i
\(51\) 5.30235 5.34528i 0.742478 0.748489i
\(52\) −7.84695 + 4.67899i −1.08818 + 0.648859i
\(53\) −0.519418 0.519418i −0.0713476 0.0713476i 0.670533 0.741880i \(-0.266066\pi\)
−0.741880 + 0.670533i \(0.766066\pi\)
\(54\) 6.84166 + 2.68172i 0.931033 + 0.364936i
\(55\) 0.112130i 0.0151196i
\(56\) 10.3161 8.26782i 1.37855 1.10483i
\(57\) −0.0122364 3.03533i −0.00162075 0.402040i
\(58\) −7.77939 9.99184i −1.02148 1.31199i
\(59\) −2.95679 + 11.0349i −0.384942 + 1.43662i 0.453317 + 0.891350i \(0.350241\pi\)
−0.838258 + 0.545273i \(0.816426\pi\)
\(60\) −0.608133 0.151199i −0.0785097 0.0195196i
\(61\) 0.588805 + 2.19745i 0.0753887 + 0.281355i 0.993321 0.115382i \(-0.0368093\pi\)
−0.917932 + 0.396737i \(0.870143\pi\)
\(62\) −5.08451 3.84491i −0.645734 0.488304i
\(63\) 6.91305 12.1999i 0.870963 1.53704i
\(64\) −5.89071 5.41290i −0.736339 0.676613i
\(65\) 0.413172 0.715636i 0.0512477 0.0887637i
\(66\) 0.181503 1.50744i 0.0223414 0.185553i
\(67\) 7.04291 + 1.88714i 0.860428 + 0.230551i 0.661944 0.749553i \(-0.269732\pi\)
0.198484 + 0.980104i \(0.436398\pi\)
\(68\) −6.06029 + 6.23342i −0.734918 + 0.755913i
\(69\) 1.96959 7.47096i 0.237111 0.899398i
\(70\) −0.449812 + 1.10794i −0.0537628 + 0.132425i
\(71\) 7.55145i 0.896193i −0.893985 0.448096i \(-0.852102\pi\)
0.893985 0.448096i \(-0.147898\pi\)
\(72\) −7.93080 3.01703i −0.934653 0.355561i
\(73\) 2.92707i 0.342588i −0.985220 0.171294i \(-0.945205\pi\)
0.985220 0.171294i \(-0.0547948\pi\)
\(74\) 5.18298 + 2.10423i 0.602509 + 0.244612i
\(75\) −8.30137 + 2.26025i −0.958560 + 0.260991i
\(76\) 0.0493539 + 3.50458i 0.00566128 + 0.402003i
\(77\) −2.79856 0.749872i −0.318925 0.0854558i
\(78\) 6.71293 8.95197i 0.760090 1.01361i
\(79\) 1.45885 2.52680i 0.164133 0.284287i −0.772214 0.635362i \(-0.780851\pi\)
0.936347 + 0.351076i \(0.114184\pi\)
\(80\) 0.703931 + 0.167523i 0.0787019 + 0.0187296i
\(81\) −8.99883 + 0.145120i −0.999870 + 0.0161245i
\(82\) 3.61687 4.78295i 0.399416 0.528188i
\(83\) 1.99394 + 7.44148i 0.218863 + 0.816808i 0.984771 + 0.173858i \(0.0556232\pi\)
−0.765908 + 0.642950i \(0.777710\pi\)
\(84\) −7.84052 + 14.1667i −0.855471 + 1.54571i
\(85\) 0.203521 0.759552i 0.0220750 0.0823850i
\(86\) −0.0151631 + 0.0118056i −0.00163508 + 0.00127303i
\(87\) 13.4625 + 7.70036i 1.44333 + 0.825566i
\(88\) −0.192077 + 1.74266i −0.0204754 + 0.185768i
\(89\) 3.18821i 0.337950i 0.985620 + 0.168975i \(0.0540457\pi\)
−0.985620 + 0.168975i \(0.945954\pi\)
\(90\) 0.759318 0.111657i 0.0800391 0.0117697i
\(91\) −15.0978 15.0978i −1.58268 1.58268i
\(92\) −2.18747 + 8.64914i −0.228060 + 0.901736i
\(93\) 7.54933 + 1.99025i 0.782829 + 0.206380i
\(94\) −0.410459 + 3.29697i −0.0423357 + 0.340056i
\(95\) −0.158508 0.274544i −0.0162626 0.0281676i
\(96\) 9.19224 + 3.39156i 0.938179 + 0.346149i
\(97\) 8.03868 13.9234i 0.816204 1.41371i −0.0922553 0.995735i \(-0.529408\pi\)
0.908460 0.417972i \(-0.137259\pi\)
\(98\) 16.7480 + 12.6648i 1.69180 + 1.27934i
\(99\) 0.495757 + 1.79226i 0.0498255 + 0.180129i
\(100\) 9.55888 2.70612i 0.955888 0.270612i
\(101\) 17.0308 4.56339i 1.69463 0.454074i 0.723051 0.690795i \(-0.242739\pi\)
0.971578 + 0.236720i \(0.0760724\pi\)
\(102\) 3.96554 9.88172i 0.392647 0.978436i
\(103\) −8.05916 + 4.65296i −0.794093 + 0.458470i −0.841401 0.540411i \(-0.818269\pi\)
0.0473086 + 0.998880i \(0.484936\pi\)
\(104\) −7.64715 + 10.4142i −0.749864 + 1.02120i
\(105\) −0.00590388 1.46450i −0.000576159 0.142921i
\(106\) −0.962535 0.390778i −0.0934897 0.0379557i
\(107\) 9.51927 + 9.51927i 0.920263 + 0.920263i 0.997048 0.0767848i \(-0.0244654\pi\)
−0.0767848 + 0.997048i \(0.524465\pi\)
\(108\) 10.3887 0.271994i 0.999657 0.0261727i
\(109\) −6.35255 + 6.35255i −0.608464 + 0.608464i −0.942544 0.334081i \(-0.891574\pi\)
0.334081 + 0.942544i \(0.391574\pi\)
\(110\) −0.0617145 0.146074i −0.00588425 0.0139276i
\(111\) −6.85097 + 0.0276184i −0.650265 + 0.00262143i
\(112\) 8.88859 16.4485i 0.839893 1.55423i
\(113\) 5.34598 + 9.25951i 0.502908 + 0.871062i 0.999994 + 0.00336088i \(0.00106980\pi\)
−0.497087 + 0.867701i \(0.665597\pi\)
\(114\) −1.68653 3.94745i −0.157958 0.369713i
\(115\) −0.208851 0.779441i −0.0194754 0.0726832i
\(116\) −15.6337 8.73493i −1.45155 0.811018i
\(117\) −3.44004 + 13.2653i −0.318032 + 1.22638i
\(118\) 2.22154 + 16.0028i 0.204509 + 1.47317i
\(119\) −17.5959 10.1590i −1.61302 0.931275i
\(120\) −0.875444 + 0.137736i −0.0799168 + 0.0125735i
\(121\) −9.19353 + 5.30789i −0.835776 + 0.482535i
\(122\) 1.97648 + 2.53859i 0.178942 + 0.229833i
\(123\) −1.87221 + 7.10157i −0.168811 + 0.640327i
\(124\) −8.73987 2.21042i −0.784864 0.198502i
\(125\) −1.27495 + 1.27495i −0.114035 + 0.114035i
\(126\) 2.29118 19.6978i 0.204115 1.75482i
\(127\) −11.5283 −1.02297 −0.511484 0.859293i \(-0.670904\pi\)
−0.511484 + 0.859293i \(0.670904\pi\)
\(128\) −10.6531 3.80936i −0.941611 0.336703i
\(129\) 0.0116857 0.0204299i 0.00102886 0.00179875i
\(130\) 0.144375 1.15968i 0.0126625 0.101710i
\(131\) −3.42289 0.917160i −0.299059 0.0801327i 0.106169 0.994348i \(-0.466141\pi\)
−0.405229 + 0.914215i \(0.632808\pi\)
\(132\) −0.593222 2.06367i −0.0516333 0.179619i
\(133\) −7.91213 + 2.12005i −0.686069 + 0.183832i
\(134\) 10.2136 1.41787i 0.882320 0.122486i
\(135\) −0.808296 + 0.479796i −0.0695670 + 0.0412943i
\(136\) −4.46410 + 11.4559i −0.382793 + 0.982333i
\(137\) 13.0194 + 7.51678i 1.11233 + 0.642202i 0.939431 0.342739i \(-0.111354\pi\)
0.172895 + 0.984940i \(0.444688\pi\)
\(138\) −1.54605 10.8166i −0.131609 0.920770i
\(139\) 2.61562 9.76161i 0.221854 0.827969i −0.761787 0.647828i \(-0.775678\pi\)
0.983641 0.180142i \(-0.0576556\pi\)
\(140\) 0.0238125 + 1.69091i 0.00201253 + 0.142908i
\(141\) −1.06900 3.92619i −0.0900261 0.330645i
\(142\) −4.15618 9.83743i −0.348779 0.825539i
\(143\) 2.83152 0.236783
\(144\) −11.9921 + 0.434618i −0.999344 + 0.0362182i
\(145\) 1.61979 0.134517
\(146\) −1.61101 3.81316i −0.133328 0.315579i
\(147\) −24.8669 6.55574i −2.05099 0.540708i
\(148\) 7.91010 0.111395i 0.650206 0.00915664i
\(149\) 1.37943 5.14811i 0.113007 0.421749i −0.886123 0.463451i \(-0.846611\pi\)
0.999130 + 0.0417013i \(0.0132778\pi\)
\(150\) −9.57036 + 7.51340i −0.781417 + 0.613467i
\(151\) −9.86458 5.69532i −0.802768 0.463479i 0.0416699 0.999131i \(-0.486732\pi\)
−0.844438 + 0.535653i \(0.820066\pi\)
\(152\) 1.99315 + 4.53832i 0.161666 + 0.368107i
\(153\) 0.105141 + 13.0403i 0.00850015 + 1.05425i
\(154\) −4.05846 + 0.563404i −0.327040 + 0.0454004i
\(155\) 0.787617 0.211041i 0.0632629 0.0169512i
\(156\) 3.81807 15.3566i 0.305690 1.22951i
\(157\) −5.47145 1.46607i −0.436670 0.117005i 0.0337857 0.999429i \(-0.489244\pi\)
−0.470455 + 0.882424i \(0.655910\pi\)
\(158\) 0.509765 4.09463i 0.0405548 0.325751i
\(159\) 1.27230 0.00512904i 0.100900 0.000406760i
\(160\) 1.00923 0.169196i 0.0797864 0.0133761i
\(161\) −20.8501 −1.64321
\(162\) −11.6431 + 5.14184i −0.914767 + 0.403981i
\(163\) 15.0117 15.0117i 1.17581 1.17581i 0.195004 0.980802i \(-0.437528\pi\)
0.980802 0.195004i \(-0.0624721\pi\)
\(164\) 2.07932 8.22150i 0.162367 0.641991i
\(165\) 0.137884 + 0.136776i 0.0107342 + 0.0106480i
\(166\) 6.69320 + 8.59673i 0.519493 + 0.667236i
\(167\) 7.81918 4.51441i 0.605066 0.349335i −0.165966 0.986132i \(-0.553074\pi\)
0.771032 + 0.636796i \(0.219741\pi\)
\(168\) −2.41690 + 22.7705i −0.186468 + 1.75679i
\(169\) 6.81291 + 3.93343i 0.524070 + 0.302572i
\(170\) −0.152912 1.10150i −0.0117278 0.0844810i
\(171\) 3.74739 + 3.68744i 0.286570 + 0.281986i
\(172\) −0.0132557 + 0.0237249i −0.00101073 + 0.00180900i
\(173\) −1.34114 5.00520i −0.101965 0.380539i 0.896018 0.444017i \(-0.146447\pi\)
−0.997983 + 0.0634788i \(0.979780\pi\)
\(174\) 21.7760 + 2.62192i 1.65083 + 0.198767i
\(175\) 11.6088 + 20.1071i 0.877546 + 1.51995i
\(176\) 0.708908 + 2.37592i 0.0534359 + 0.179091i
\(177\) −9.96263 17.0962i −0.748837 1.28503i
\(178\) 1.75473 + 4.15335i 0.131523 + 0.311306i
\(179\) 1.96093 1.96093i 0.146566 0.146566i −0.630016 0.776582i \(-0.716952\pi\)
0.776582 + 0.630016i \(0.216952\pi\)
\(180\) 0.927724 0.563373i 0.0691485 0.0419913i
\(181\) −0.224256 0.224256i −0.0166688 0.0166688i 0.698723 0.715392i \(-0.253752\pi\)
−0.715392 + 0.698723i \(0.753752\pi\)
\(182\) −27.9778 11.3587i −2.07385 0.841960i
\(183\) −3.42037 1.95641i −0.252841 0.144622i
\(184\) 1.91067 + 12.4714i 0.140856 + 0.919401i
\(185\) −0.619667 + 0.357765i −0.0455588 + 0.0263034i
\(186\) 10.9301 1.56227i 0.801431 0.114551i
\(187\) 2.60265 0.697377i 0.190324 0.0509972i
\(188\) 1.27988 + 4.52093i 0.0933446 + 0.329723i
\(189\) 6.56932 + 23.3822i 0.477847 + 1.70080i
\(190\) −0.357596 0.270414i −0.0259427 0.0196179i
\(191\) −10.3893 + 17.9947i −0.751741 + 1.30205i 0.195237 + 0.980756i \(0.437452\pi\)
−0.946978 + 0.321298i \(0.895881\pi\)
\(192\) 13.8416 0.640998i 0.998929 0.0462600i
\(193\) 7.69572 + 13.3294i 0.553950 + 0.959469i 0.997984 + 0.0634596i \(0.0202134\pi\)
−0.444035 + 0.896010i \(0.646453\pi\)
\(194\) 2.80896 22.5626i 0.201672 1.61990i
\(195\) 0.376010 + 1.38100i 0.0269267 + 0.0988953i
\(196\) 28.7885 + 7.28095i 2.05632 + 0.520068i
\(197\) −0.905158 0.905158i −0.0644898 0.0644898i 0.674126 0.738616i \(-0.264520\pi\)
−0.738616 + 0.674126i \(0.764520\pi\)
\(198\) 1.63226 + 2.06196i 0.116000 + 0.146537i
\(199\) 16.5201i 1.17108i 0.810645 + 0.585538i \(0.199117\pi\)
−0.810645 + 0.585538i \(0.800883\pi\)
\(200\) 10.9631 8.78635i 0.775212 0.621289i
\(201\) −10.9115 + 6.35854i −0.769637 + 0.448497i
\(202\) 19.6748 15.3183i 1.38431 1.07779i
\(203\) 10.8324 40.4270i 0.760284 2.83742i
\(204\) −0.272734 15.0557i −0.0190952 1.05411i
\(205\) 0.198524 + 0.740902i 0.0138655 + 0.0517469i
\(206\) −7.93793 + 10.4971i −0.553062 + 0.731369i
\(207\) 6.78433 + 11.5350i 0.471543 + 0.801739i
\(208\) −4.23029 + 17.7757i −0.293318 + 1.23252i
\(209\) 0.543137 0.940741i 0.0375696 0.0650724i
\(210\) −0.813727 1.90459i −0.0561525 0.131429i
\(211\) −25.2027 6.75305i −1.73503 0.464899i −0.753695 0.657224i \(-0.771730\pi\)
−0.981331 + 0.192325i \(0.938397\pi\)
\(212\) −1.46899 + 0.0206873i −0.100891 + 0.00142081i
\(213\) 9.28581 + 9.21125i 0.636253 + 0.631144i
\(214\) 17.6402 + 7.16171i 1.20586 + 0.489565i
\(215\) 0.00245811i 0.000167642i
\(216\) 13.3839 6.07211i 0.910661 0.413155i
\(217\) 21.0688i 1.43024i
\(218\) −4.77926 + 11.7719i −0.323693 + 0.797295i
\(219\) 3.59934 + 3.57044i 0.243221 + 0.241268i
\(220\) −0.160793 0.156328i −0.0108407 0.0105396i
\(221\) 19.1802 + 5.13932i 1.29020 + 0.345708i
\(222\) −8.90969 + 3.80663i −0.597979 + 0.255484i
\(223\) 6.47927 11.2224i 0.433884 0.751510i −0.563320 0.826239i \(-0.690476\pi\)
0.997204 + 0.0747295i \(0.0238093\pi\)
\(224\) 2.52641 26.3199i 0.168803 1.75857i
\(225\) 7.34662 12.9650i 0.489775 0.864334i
\(226\) 12.0606 + 9.12022i 0.802258 + 0.606668i
\(227\) 3.52089 + 13.1401i 0.233690 + 0.872142i 0.978735 + 0.205128i \(0.0657611\pi\)
−0.745045 + 0.667014i \(0.767572\pi\)
\(228\) −4.36969 4.21419i −0.289390 0.279092i
\(229\) 4.35071 16.2371i 0.287503 1.07298i −0.659488 0.751715i \(-0.729227\pi\)
0.946991 0.321260i \(-0.104106\pi\)
\(230\) −0.701064 0.900446i −0.0462268 0.0593736i
\(231\) 4.33577 2.52662i 0.285273 0.166239i
\(232\) −25.1739 2.77467i −1.65275 0.182166i
\(233\) 10.0493i 0.658351i −0.944269 0.329176i \(-0.893229\pi\)
0.944269 0.329176i \(-0.106771\pi\)
\(234\) 2.81957 + 19.1743i 0.184321 + 1.25346i
\(235\) −0.300509 0.300509i −0.0196030 0.0196030i
\(236\) 11.7017 + 19.6244i 0.761714 + 1.27744i
\(237\) 1.32763 + 4.87608i 0.0862390 + 0.316735i
\(238\) −28.5139 3.54987i −1.84828 0.230104i
\(239\) −3.38365 5.86066i −0.218870 0.379094i 0.735593 0.677424i \(-0.236904\pi\)
−0.954463 + 0.298330i \(0.903570\pi\)
\(240\) −1.06465 + 0.661260i −0.0687230 + 0.0426842i
\(241\) −1.07804 + 1.86722i −0.0694428 + 0.120278i −0.898656 0.438654i \(-0.855455\pi\)
0.829213 + 0.558932i \(0.188789\pi\)
\(242\) −9.05524 + 11.9747i −0.582093 + 0.769760i
\(243\) 10.7983 11.2426i 0.692711 0.721215i
\(244\) 3.97200 + 2.21926i 0.254281 + 0.142073i
\(245\) −2.59435 + 0.695154i −0.165747 + 0.0444118i
\(246\) 1.46961 + 10.2818i 0.0936990 + 0.655543i
\(247\) 6.93279 4.00265i 0.441123 0.254683i
\(248\) −12.6022 + 1.93071i −0.800239 + 0.122600i
\(249\) −11.5828 6.62520i −0.734029 0.419855i
\(250\) −0.959196 + 2.36262i −0.0606649 + 0.149425i
\(251\) 3.65289 + 3.65289i 0.230568 + 0.230568i 0.812930 0.582362i \(-0.197871\pi\)
−0.582362 + 0.812930i \(0.697871\pi\)
\(252\) −7.85656 26.9218i −0.494917 1.69591i
\(253\) 1.95516 1.95516i 0.122920 0.122920i
\(254\) −15.0181 + 6.34495i −0.942320 + 0.398118i
\(255\) 0.685745 + 1.17676i 0.0429430 + 0.0736918i
\(256\) −15.9746 + 0.900756i −0.998414 + 0.0562972i
\(257\) −5.09689 8.82807i −0.317935 0.550680i 0.662122 0.749396i \(-0.269656\pi\)
−0.980057 + 0.198716i \(0.936323\pi\)
\(258\) 0.00397889 0.0330460i 0.000247715 0.00205736i
\(259\) 4.78511 + 17.8583i 0.297332 + 1.10966i
\(260\) −0.450184 1.59019i −0.0279192 0.0986196i
\(261\) −25.8904 + 7.16153i −1.60258 + 0.443288i
\(262\) −4.96385 + 0.689093i −0.306668 + 0.0425723i
\(263\) 14.5937 + 8.42569i 0.899888 + 0.519550i 0.877164 0.480191i \(-0.159433\pi\)
0.0227239 + 0.999742i \(0.492766\pi\)
\(264\) −1.90861 2.36189i −0.117467 0.145364i
\(265\) 0.115079 0.0664408i 0.00706924 0.00408143i
\(266\) −9.14045 + 7.11652i −0.560437 + 0.436342i
\(267\) −3.92045 3.88897i −0.239928 0.238001i
\(268\) 12.5251 7.46846i 0.765091 0.456209i
\(269\) 18.2219 18.2219i 1.11101 1.11101i 0.117993 0.993014i \(-0.462354\pi\)
0.993014 0.117993i \(-0.0376461\pi\)
\(270\) −0.788912 + 1.06991i −0.0480116 + 0.0651127i
\(271\) 9.95663 0.604822 0.302411 0.953178i \(-0.402208\pi\)
0.302411 + 0.953178i \(0.402208\pi\)
\(272\) 0.489632 + 17.3808i 0.0296883 + 1.05386i
\(273\) 36.9816 0.149085i 2.23823 0.00902302i
\(274\) 21.0978 + 2.62659i 1.27456 + 0.158678i
\(275\) −2.97408 0.796902i −0.179344 0.0480550i
\(276\) −7.96734 13.2401i −0.479577 0.796959i
\(277\) 2.63740 0.706690i 0.158466 0.0424609i −0.178714 0.983901i \(-0.557194\pi\)
0.337180 + 0.941440i \(0.390527\pi\)
\(278\) −1.96520 14.1562i −0.117865 0.849035i
\(279\) −11.6560 + 6.85549i −0.697827 + 0.410428i
\(280\) 0.961666 + 2.18967i 0.0574706 + 0.130858i
\(281\) −21.8517 12.6161i −1.30356 0.752612i −0.322549 0.946553i \(-0.604540\pi\)
−0.981013 + 0.193941i \(0.937873\pi\)
\(282\) −3.55351 4.52636i −0.211608 0.269541i
\(283\) −2.31429 + 8.63704i −0.137570 + 0.513419i 0.862404 + 0.506221i \(0.168958\pi\)
−0.999974 + 0.00719814i \(0.997709\pi\)
\(284\) −10.8287 10.5279i −0.642564 0.624718i
\(285\) 0.530947 + 0.139975i 0.0314506 + 0.00829142i
\(286\) 3.68867 1.55842i 0.218116 0.0921510i
\(287\) 19.8192 1.16989
\(288\) −15.3832 + 7.16644i −0.906463 + 0.422286i
\(289\) 1.89565 0.111509
\(290\) 2.11014 0.891505i 0.123912 0.0523510i
\(291\) 7.31566 + 26.8687i 0.428852 + 1.57507i
\(292\) −4.19739 4.08081i −0.245634 0.238811i
\(293\) −5.38845 + 20.1100i −0.314796 + 1.17484i 0.609383 + 0.792876i \(0.291417\pi\)
−0.924179 + 0.381960i \(0.875249\pi\)
\(294\) −36.0028 + 5.14600i −2.09973 + 0.300121i
\(295\) −1.78973 1.03330i −0.104202 0.0601612i
\(296\) 10.2433 4.49869i 0.595382 0.261481i
\(297\) −2.80862 1.57658i −0.162973 0.0914825i
\(298\) −1.03641 7.46576i −0.0600378 0.432480i
\(299\) 19.6824 5.27390i 1.13827 0.304997i
\(300\) −8.33226 + 15.0552i −0.481063 + 0.869213i
\(301\) −0.0613498 0.0164386i −0.00353615 0.000947507i
\(302\) −15.9854 1.99012i −0.919856 0.114518i
\(303\) −15.1627 + 26.5087i −0.871072 + 1.52289i
\(304\) 5.09433 + 4.81517i 0.292180 + 0.276169i
\(305\) −0.411536 −0.0235645
\(306\) 7.31412 + 16.9300i 0.418121 + 0.967824i
\(307\) 11.4523 11.4523i 0.653619 0.653619i −0.300243 0.953863i \(-0.597068\pi\)
0.953863 + 0.300243i \(0.0970679\pi\)
\(308\) −4.97694 + 2.96766i −0.283588 + 0.169098i
\(309\) 4.10893 15.5858i 0.233749 0.886645i
\(310\) 0.909891 0.708418i 0.0516783 0.0402354i
\(311\) −15.6387 + 9.02903i −0.886792 + 0.511989i −0.872892 0.487914i \(-0.837758\pi\)
−0.0138999 + 0.999903i \(0.504425\pi\)
\(312\) −3.47812 22.1067i −0.196909 1.25155i
\(313\) −22.1825 12.8070i −1.25383 0.723897i −0.281959 0.959426i \(-0.590984\pi\)
−0.971867 + 0.235529i \(0.924318\pi\)
\(314\) −7.93467 + 1.10151i −0.447779 + 0.0621617i
\(315\) 1.80806 + 1.77914i 0.101873 + 0.100243i
\(316\) −1.58953 5.61472i −0.0894180 0.315853i
\(317\) −0.887719 3.31301i −0.0498593 0.186077i 0.936505 0.350654i \(-0.114041\pi\)
−0.986364 + 0.164577i \(0.947374\pi\)
\(318\) 1.65463 0.706932i 0.0927869 0.0396428i
\(319\) 2.77516 + 4.80671i 0.155379 + 0.269124i
\(320\) 1.22162 0.775875i 0.0682905 0.0433727i
\(321\) −23.3172 + 0.0939989i −1.30144 + 0.00524651i
\(322\) −27.1618 + 11.4755i −1.51367 + 0.639504i
\(323\) 5.38660 5.38660i 0.299719 0.299719i
\(324\) −12.3377 + 13.1065i −0.685428 + 0.728140i
\(325\) −16.0447 16.0447i −0.890001 0.890001i
\(326\) 11.2939 27.8182i 0.625510 1.54071i
\(327\) −0.0627288 15.5604i −0.00346891 0.860491i
\(328\) −1.81620 11.8547i −0.100283 0.654568i
\(329\) −9.50978 + 5.49047i −0.524291 + 0.302700i
\(330\) 0.254903 + 0.102293i 0.0140319 + 0.00563102i
\(331\) 15.2234 4.07910i 0.836753 0.224207i 0.185096 0.982721i \(-0.440741\pi\)
0.651658 + 0.758513i \(0.274074\pi\)
\(332\) 13.4508 + 7.51532i 0.738211 + 0.412457i
\(333\) 8.32283 8.45813i 0.456088 0.463503i
\(334\) 7.70156 10.1845i 0.421410 0.557273i
\(335\) −0.659494 + 1.14228i −0.0360320 + 0.0624093i
\(336\) 9.38395 + 30.9939i 0.511936 + 1.69085i
\(337\) −8.67225 15.0208i −0.472407 0.818233i 0.527094 0.849807i \(-0.323282\pi\)
−0.999501 + 0.0315734i \(0.989948\pi\)
\(338\) 11.0402 + 1.37446i 0.600508 + 0.0747609i
\(339\) −17.9072 4.72093i −0.972585 0.256406i
\(340\) −0.805446 1.35078i −0.0436815 0.0732565i
\(341\) 1.97567 + 1.97567i 0.106988 + 0.106988i
\(342\) 6.91130 + 2.74121i 0.373720 + 0.148228i
\(343\) 36.6800i 1.98053i
\(344\) −0.00421069 + 0.0382025i −0.000227025 + 0.00205974i
\(345\) 1.21321 + 0.693942i 0.0653171 + 0.0373606i
\(346\) −4.50190 5.78224i −0.242024 0.310855i
\(347\) −1.85473 + 6.92193i −0.0995669 + 0.371589i −0.997672 0.0681917i \(-0.978277\pi\)
0.898105 + 0.439780i \(0.144944\pi\)
\(348\) 29.8110 8.56947i 1.59804 0.459372i
\(349\) 0.294768 + 1.10009i 0.0157786 + 0.0588865i 0.973366 0.229256i \(-0.0736291\pi\)
−0.957588 + 0.288142i \(0.906962\pi\)
\(350\) 26.1897 + 19.8046i 1.39990 + 1.05860i
\(351\) −12.1158 20.4111i −0.646694 1.08946i
\(352\) 2.23117 + 2.70498i 0.118922 + 0.144176i
\(353\) −12.2507 + 21.2188i −0.652037 + 1.12936i 0.330591 + 0.943774i \(0.392752\pi\)
−0.982628 + 0.185587i \(0.940581\pi\)
\(354\) −22.3880 16.7884i −1.18991 0.892292i
\(355\) 1.31949 + 0.353557i 0.0700314 + 0.0187649i
\(356\) 4.57185 + 4.44487i 0.242308 + 0.235578i
\(357\) 33.9557 9.24528i 1.79713 0.489312i
\(358\) 1.47528 3.63379i 0.0779709 0.192052i
\(359\) 11.6859i 0.616757i −0.951264 0.308378i \(-0.900214\pi\)
0.951264 0.308378i \(-0.0997863\pi\)
\(360\) 0.898495 1.24452i 0.0473548 0.0655920i
\(361\) 15.9289i 0.838362i
\(362\) −0.415570 0.168717i −0.0218419 0.00886755i
\(363\) 4.68729 17.7796i 0.246019 0.933186i
\(364\) −42.6988 + 0.601314i −2.23803 + 0.0315174i
\(365\) 0.511458 + 0.137045i 0.0267709 + 0.00717325i
\(366\) −5.53255 0.666143i −0.289191 0.0348199i
\(367\) −5.61911 + 9.73258i −0.293315 + 0.508037i −0.974592 0.223990i \(-0.928092\pi\)
0.681276 + 0.732026i \(0.261425\pi\)
\(368\) 9.35307 + 15.1951i 0.487563 + 0.792099i
\(369\) −6.44889 10.9647i −0.335716 0.570798i
\(370\) −0.610345 + 0.807121i −0.0317303 + 0.0419602i
\(371\) −0.888646 3.31647i −0.0461362 0.172183i
\(372\) 13.3790 8.05091i 0.693667 0.417420i
\(373\) 3.09978 11.5685i 0.160501 0.598996i −0.838071 0.545561i \(-0.816316\pi\)
0.998571 0.0534347i \(-0.0170169\pi\)
\(374\) 3.00670 2.34094i 0.155473 0.121047i
\(375\) −0.0125896 3.12296i −0.000650126 0.161269i
\(376\) 4.15556 + 5.18509i 0.214307 + 0.267401i
\(377\) 40.9031i 2.10661i
\(378\) 21.4271 + 26.8448i 1.10209 + 1.38075i
\(379\) 11.6135 + 11.6135i 0.596544 + 0.596544i 0.939391 0.342847i \(-0.111391\pi\)
−0.342847 + 0.939391i \(0.611391\pi\)
\(380\) −0.614679 0.155460i −0.0315323 0.00797491i
\(381\) 14.0622 14.1760i 0.720426 0.726258i
\(382\) −3.63033 + 29.1602i −0.185744 + 1.49196i
\(383\) −14.5294 25.1657i −0.742418 1.28591i −0.951391 0.307985i \(-0.900345\pi\)
0.208973 0.977921i \(-0.432988\pi\)
\(384\) 17.6789 8.45319i 0.902173 0.431375i
\(385\) 0.262056 0.453894i 0.0133556 0.0231326i
\(386\) 17.3616 + 13.1289i 0.883683 + 0.668241i
\(387\) 0.0108680 + 0.0392899i 0.000552449 + 0.00199722i
\(388\) −8.75878 30.9388i −0.444660 1.57068i
\(389\) −13.6478 + 3.65693i −0.691973 + 0.185414i −0.587632 0.809128i \(-0.699940\pi\)
−0.104341 + 0.994542i \(0.533273\pi\)
\(390\) 1.24991 + 1.59210i 0.0632918 + 0.0806193i
\(391\) 16.7926 9.69522i 0.849239 0.490308i
\(392\) 41.5106 6.35961i 2.09660 0.321209i
\(393\) 5.30304 3.09028i 0.267503 0.155884i
\(394\) −1.67735 0.680985i −0.0845037 0.0343075i
\(395\) 0.373213 + 0.373213i 0.0187784 + 0.0187784i
\(396\) 3.26125 + 1.78779i 0.163884 + 0.0898399i
\(397\) −1.83996 + 1.83996i −0.0923450 + 0.0923450i −0.751770 0.659425i \(-0.770800\pi\)
0.659425 + 0.751770i \(0.270800\pi\)
\(398\) 9.09235 + 21.5210i 0.455758 + 1.07875i
\(399\) 7.04423 12.3154i 0.352653 0.616539i
\(400\) 9.44606 17.4801i 0.472303 0.874004i
\(401\) 14.5786 + 25.2509i 0.728021 + 1.26097i 0.957718 + 0.287708i \(0.0928931\pi\)
−0.229697 + 0.973262i \(0.573774\pi\)
\(402\) −10.7150 + 14.2889i −0.534415 + 0.712665i
\(403\) 5.32922 + 19.8889i 0.265467 + 0.990737i
\(404\) 17.1998 30.7841i 0.855723 1.53156i
\(405\) 0.395965 1.57919i 0.0196757 0.0784707i
\(406\) −8.13873 58.6270i −0.403918 2.90961i
\(407\) −2.12332 1.22590i −0.105249 0.0607656i
\(408\) −8.64167 19.4632i −0.427826 0.963573i
\(409\) 9.18277 5.30167i 0.454059 0.262151i −0.255484 0.966813i \(-0.582235\pi\)
0.709543 + 0.704662i \(0.248901\pi\)
\(410\) 0.666401 + 0.855924i 0.0329112 + 0.0422711i
\(411\) −25.1243 + 6.84070i −1.23929 + 0.337427i
\(412\) −4.56347 + 18.0437i −0.224826 + 0.888949i
\(413\) −37.7581 + 37.7581i −1.85796 + 1.85796i
\(414\) 15.1867 + 11.2929i 0.746388 + 0.555017i
\(415\) −1.39363 −0.0684107
\(416\) 4.27253 + 25.4850i 0.209478 + 1.24950i
\(417\) 8.81306 + 15.1235i 0.431577 + 0.740603i
\(418\) 0.189789 1.52445i 0.00928287 0.0745635i
\(419\) −13.8275 3.70507i −0.675519 0.181005i −0.0952792 0.995451i \(-0.530374\pi\)
−0.580240 + 0.814446i \(0.697041\pi\)
\(420\) −2.10831 2.03328i −0.102875 0.0992141i
\(421\) −19.2855 + 5.16753i −0.939918 + 0.251850i −0.696079 0.717966i \(-0.745074\pi\)
−0.243839 + 0.969816i \(0.578407\pi\)
\(422\) −36.5488 + 5.07379i −1.77917 + 0.246988i
\(423\) 6.13189 + 3.47463i 0.298143 + 0.168942i
\(424\) −1.90230 + 0.835456i −0.0923838 + 0.0405733i
\(425\) −18.6995 10.7962i −0.907059 0.523691i
\(426\) 17.1665 + 6.88893i 0.831721 + 0.333770i
\(427\) −2.75215 + 10.2712i −0.133186 + 0.497056i
\(428\) 26.9219 0.379133i 1.30132 0.0183261i
\(429\) −3.45388 + 3.48184i −0.166755 + 0.168105i
\(430\) −0.00135290 0.00320223i −6.52427e−5 0.000154425i
\(431\) −8.92159 −0.429738 −0.214869 0.976643i \(-0.568932\pi\)
−0.214869 + 0.976643i \(0.568932\pi\)
\(432\) 14.0935 15.2765i 0.678075 0.734992i
\(433\) −29.8178 −1.43295 −0.716476 0.697612i \(-0.754246\pi\)
−0.716476 + 0.697612i \(0.754246\pi\)
\(434\) −11.5959 27.4467i −0.556619 1.31748i
\(435\) −1.97582 + 1.99182i −0.0947334 + 0.0955003i
\(436\) 0.253009 + 17.9659i 0.0121169 + 0.860412i
\(437\) 2.02326 7.55091i 0.0967857 0.361209i
\(438\) 6.65404 + 2.67027i 0.317942 + 0.127590i
\(439\) −27.0574 15.6216i −1.29138 0.745579i −0.312481 0.949924i \(-0.601160\pi\)
−0.978899 + 0.204345i \(0.934493\pi\)
\(440\) −0.295509 0.115153i −0.0140878 0.00548971i
\(441\) 38.3940 22.5815i 1.82829 1.07531i
\(442\) 27.8150 3.86134i 1.32303 0.183665i
\(443\) −10.6006 + 2.84043i −0.503651 + 0.134953i −0.501694 0.865045i \(-0.667290\pi\)
−0.00195701 + 0.999998i \(0.500623\pi\)
\(444\) −9.51174 + 9.86270i −0.451407 + 0.468063i
\(445\) −0.557087 0.149271i −0.0264085 0.00707613i
\(446\) 2.26406 18.1858i 0.107206 0.861121i
\(447\) 4.64786 + 7.97590i 0.219836 + 0.377247i
\(448\) −11.1948 35.6779i −0.528904 1.68562i
\(449\) 27.4967 1.29765 0.648824 0.760938i \(-0.275261\pi\)
0.648824 + 0.760938i \(0.275261\pi\)
\(450\) 2.43488 20.9332i 0.114781 0.986802i
\(451\) −1.85849 + 1.85849i −0.0875128 + 0.0875128i
\(452\) 20.7312 + 5.24317i 0.975113 + 0.246618i
\(453\) 19.0362 5.18307i 0.894397 0.243522i
\(454\) 11.8188 + 15.1801i 0.554685 + 0.712437i
\(455\) 3.34497 1.93122i 0.156815 0.0905370i
\(456\) −8.01189 3.08491i −0.375191 0.144464i
\(457\) 16.8184 + 9.71008i 0.786729 + 0.454218i 0.838810 0.544424i \(-0.183252\pi\)
−0.0520805 + 0.998643i \(0.516585\pi\)
\(458\) −3.26883 23.5469i −0.152742 1.10027i
\(459\) −16.1636 15.7773i −0.754451 0.736419i
\(460\) −1.40888 0.787176i −0.0656893 0.0367023i
\(461\) −1.08101 4.03437i −0.0503475 0.187900i 0.936172 0.351542i \(-0.114342\pi\)
−0.986520 + 0.163642i \(0.947676\pi\)
\(462\) 4.25769 5.67781i 0.198086 0.264156i
\(463\) −0.773244 1.33930i −0.0359357 0.0622425i 0.847498 0.530798i \(-0.178108\pi\)
−0.883434 + 0.468556i \(0.844774\pi\)
\(464\) −34.3216 + 10.2406i −1.59334 + 0.475409i
\(465\) −0.701222 + 1.22594i −0.0325184 + 0.0568515i
\(466\) −5.53095 13.0914i −0.256216 0.606448i
\(467\) −2.13196 + 2.13196i −0.0986553 + 0.0986553i −0.754712 0.656056i \(-0.772223\pi\)
0.656056 + 0.754712i \(0.272223\pi\)
\(468\) 14.2263 + 23.4269i 0.657611 + 1.08291i
\(469\) 24.0987 + 24.0987i 1.11277 + 1.11277i
\(470\) −0.556873 0.226084i −0.0256866 0.0104285i
\(471\) 8.47685 4.93978i 0.390593 0.227613i
\(472\) 26.0449 + 19.1247i 1.19882 + 0.880288i
\(473\) 0.00729441 0.00421143i 0.000335397 0.000193642i
\(474\) 4.41324 + 5.62146i 0.202707 + 0.258202i
\(475\) −8.40836 + 2.25301i −0.385802 + 0.103375i
\(476\) −39.0994 + 11.0690i −1.79212 + 0.507349i
\(477\) −1.54564 + 1.57077i −0.0707700 + 0.0719205i
\(478\) −7.63355 5.77250i −0.349151 0.264028i
\(479\) 14.5113 25.1343i 0.663037 1.14841i −0.316777 0.948500i \(-0.602601\pi\)
0.979814 0.199914i \(-0.0640661\pi\)
\(480\) −1.02300 + 1.44740i −0.0466932 + 0.0660646i
\(481\) −9.03428 15.6478i −0.411928 0.713480i
\(482\) −0.376701 + 3.02580i −0.0171583 + 0.137822i
\(483\) 25.4328 25.6387i 1.15723 1.16660i
\(484\) −5.20581 + 20.5835i −0.236628 + 0.935612i
\(485\) 2.05652 + 2.05652i 0.0933817 + 0.0933817i
\(486\) 7.87942 20.5892i 0.357418 0.933945i
\(487\) 3.59517i 0.162913i 0.996677 + 0.0814564i \(0.0259571\pi\)
−0.996677 + 0.0814564i \(0.974043\pi\)
\(488\) 6.39585 + 0.704951i 0.289526 + 0.0319116i
\(489\) 0.148234 + 36.7707i 0.00670339 + 1.66283i
\(490\) −2.99711 + 2.33347i −0.135396 + 0.105416i
\(491\) −5.35801 + 19.9964i −0.241804 + 0.902424i 0.733159 + 0.680057i \(0.238045\pi\)
−0.974963 + 0.222367i \(0.928622\pi\)
\(492\) 7.57340 + 12.5854i 0.341435 + 0.567396i
\(493\) 10.0741 + 37.5969i 0.453713 + 1.69328i
\(494\) 6.82850 9.03002i 0.307229 0.406280i
\(495\) −0.336380 + 0.00271215i −0.0151192 + 0.000121902i
\(496\) −15.3545 + 9.45119i −0.689437 + 0.424371i
\(497\) 17.6482 30.5676i 0.791631 1.37115i
\(498\) −18.7355 2.25584i −0.839558 0.101086i
\(499\) −14.7412 3.94988i −0.659905 0.176821i −0.0867019 0.996234i \(-0.527633\pi\)
−0.573203 + 0.819413i \(0.694299\pi\)
\(500\) 0.0507787 + 3.60575i 0.00227089 + 0.161254i
\(501\) −3.98658 + 15.1217i −0.178107 + 0.675587i
\(502\) 6.76918 + 2.74821i 0.302123 + 0.122659i
\(503\) 11.1260i 0.496085i 0.968749 + 0.248042i \(0.0797872\pi\)
−0.968749 + 0.248042i \(0.920213\pi\)
\(504\) −25.0522 30.7475i −1.11591 1.36960i
\(505\) 3.18951i 0.141931i
\(506\) 1.47094 3.62311i 0.0653913 0.161067i
\(507\) −13.1472 + 3.57965i −0.583888 + 0.158978i
\(508\) −16.0722 + 16.5314i −0.713091 + 0.733462i
\(509\) −24.1806 6.47918i −1.07179 0.287185i −0.320560 0.947228i \(-0.603871\pi\)
−0.751227 + 0.660044i \(0.770538\pi\)
\(510\) 1.54100 + 1.15557i 0.0682368 + 0.0511696i
\(511\) 6.84076 11.8485i 0.302617 0.524149i
\(512\) −20.3147 + 9.96558i −0.897792 + 0.440420i
\(513\) −9.10540 + 0.110125i −0.402013 + 0.00486214i
\(514\) −11.4986 8.69527i −0.507183 0.383532i
\(515\) −0.435701 1.62606i −0.0191993 0.0716526i
\(516\) −0.0130046 0.0452396i −0.000572494 0.00199156i
\(517\) 0.376900 1.40661i 0.0165760 0.0618626i
\(518\) 16.0625 + 20.6307i 0.705746 + 0.906460i
\(519\) 7.79068 + 4.45617i 0.341973 + 0.195604i
\(520\) −1.46168 1.82380i −0.0640988 0.0799791i
\(521\) 44.7974i 1.96261i −0.192458 0.981305i \(-0.561646\pi\)
0.192458 0.981305i \(-0.438354\pi\)
\(522\) −29.7864 + 23.5791i −1.30371 + 1.03203i
\(523\) 7.02267 + 7.02267i 0.307080 + 0.307080i 0.843776 0.536696i \(-0.180328\pi\)
−0.536696 + 0.843776i \(0.680328\pi\)
\(524\) −6.08725 + 3.62971i −0.265923 + 0.158565i
\(525\) −38.8856 10.2515i −1.69711 0.447413i
\(526\) 23.6489 + 2.94419i 1.03114 + 0.128373i
\(527\) 9.79692 + 16.9688i 0.426761 + 0.739171i
\(528\) −3.78632 2.02641i −0.164779 0.0881883i
\(529\) −1.55091 + 2.68626i −0.0674309 + 0.116794i
\(530\) 0.113348 0.149891i 0.00492351 0.00651085i
\(531\) 33.1752 + 8.60319i 1.43968 + 0.373347i
\(532\) −7.99065 + 14.3016i −0.346438 + 0.620052i
\(533\) −18.7093 + 5.01314i −0.810389 + 0.217143i
\(534\) −7.24767 2.90849i −0.313638 0.125863i
\(535\) −2.10903 + 1.21765i −0.0911812 + 0.0526435i
\(536\) 12.2062 16.6229i 0.527226 0.718000i
\(537\) 0.0193633 + 4.80323i 0.000835590 + 0.207275i
\(538\) 13.7090 33.7670i 0.591038 1.45580i
\(539\) −6.50770 6.50770i −0.280306 0.280306i
\(540\) −0.438872 + 1.82800i −0.0188860 + 0.0786645i
\(541\) 14.9663 14.9663i 0.643452 0.643452i −0.307950 0.951402i \(-0.599643\pi\)
0.951402 + 0.307950i \(0.0996431\pi\)
\(542\) 12.9707 5.47995i 0.557140 0.235384i
\(543\) 0.549309 0.00221444i 0.0235731 9.50308e-5i
\(544\) 10.2039 + 22.3728i 0.437489 + 0.959225i
\(545\) −0.812579 1.40743i −0.0348071 0.0602876i
\(546\) 48.0947 20.5482i 2.05826 0.879384i
\(547\) 1.38173 + 5.15670i 0.0590787 + 0.220485i 0.989154 0.146885i \(-0.0469249\pi\)
−0.930075 + 0.367370i \(0.880258\pi\)
\(548\) 28.9301 8.19013i 1.23583 0.349865i
\(549\) 6.57789 1.81951i 0.280738 0.0776547i
\(550\) −4.31299 + 0.598739i −0.183907 + 0.0255303i
\(551\) 13.5896 + 7.84596i 0.578937 + 0.334249i
\(552\) −17.6663 12.8630i −0.751928 0.547487i
\(553\) 11.8106 6.81883i 0.502236 0.289966i
\(554\) 3.04685 2.37220i 0.129448 0.100785i
\(555\) 0.315935 1.19839i 0.0134107 0.0508687i
\(556\) −10.3514 17.3600i −0.438999 0.736228i
\(557\) 7.66230 7.66230i 0.324662 0.324662i −0.525890 0.850552i \(-0.676268\pi\)
0.850552 + 0.525890i \(0.176268\pi\)
\(558\) −11.4114 + 15.3460i −0.483082 + 0.649650i
\(559\) 0.0620723 0.00262538
\(560\) 2.45794 + 2.32325i 0.103867 + 0.0981752i
\(561\) −2.31716 + 4.05106i −0.0978304 + 0.171036i
\(562\) −35.4103 4.40844i −1.49369 0.185959i
\(563\) −21.3157 5.71152i −0.898349 0.240712i −0.220042 0.975490i \(-0.570619\pi\)
−0.678307 + 0.734779i \(0.737286\pi\)
\(564\) −7.12046 3.94080i −0.299825 0.165937i
\(565\) −1.86825 + 0.500595i −0.0785977 + 0.0210602i
\(566\) 1.73880 + 12.5254i 0.0730873 + 0.526482i
\(567\) −36.7656 20.4434i −1.54401 0.858542i
\(568\) −19.9011 7.75503i −0.835033 0.325394i
\(569\) 38.6354 + 22.3061i 1.61968 + 0.935122i 0.987002 + 0.160706i \(0.0513770\pi\)
0.632676 + 0.774416i \(0.281956\pi\)
\(570\) 0.768716 0.109875i 0.0321980 0.00460217i
\(571\) −2.53873 + 9.47469i −0.106243 + 0.396503i −0.998483 0.0550573i \(-0.982466\pi\)
0.892240 + 0.451561i \(0.149133\pi\)
\(572\) 3.94758 4.06036i 0.165057 0.169772i
\(573\) −9.45483 34.7253i −0.394981 1.45067i
\(574\) 25.8188 10.9081i 1.07766 0.455295i
\(575\) −22.1577 −0.924041
\(576\) −16.0957 + 17.8025i −0.670654 + 0.741770i
\(577\) −0.565932 −0.0235600 −0.0117800 0.999931i \(-0.503750\pi\)
−0.0117800 + 0.999931i \(0.503750\pi\)
\(578\) 2.46951 1.04333i 0.102718 0.0433969i
\(579\) −25.7780 6.79593i −1.07130 0.282429i
\(580\) 2.25825 2.32276i 0.0937688 0.0964475i
\(581\) −9.31992 + 34.7824i −0.386655 + 1.44302i
\(582\) 24.3183 + 30.9760i 1.00803 + 1.28400i
\(583\) 0.394324 + 0.227663i 0.0163312 + 0.00942884i
\(584\) −7.71402 3.00598i −0.319209 0.124389i
\(585\) −2.15683 1.22217i −0.0891740 0.0505304i
\(586\) 4.04852 + 29.1633i 0.167243 + 1.20473i
\(587\) −39.9093 + 10.6937i −1.64723 + 0.441375i −0.958836 0.283960i \(-0.908352\pi\)
−0.688397 + 0.725334i \(0.741685\pi\)
\(588\) −44.0693 + 26.5191i −1.81739 + 1.09363i
\(589\) 7.63012 + 2.04448i 0.314394 + 0.0842415i
\(590\) −2.90023 0.361068i −0.119401 0.0148649i
\(591\) 2.21716 0.00893807i 0.0912017 0.000367663i
\(592\) 10.8682 11.4983i 0.446680 0.472576i
\(593\) −12.9281 −0.530893 −0.265447 0.964126i \(-0.585519\pi\)
−0.265447 + 0.964126i \(0.585519\pi\)
\(594\) −4.52657 0.508029i −0.185727 0.0208447i
\(595\) 2.59896 2.59896i 0.106547 0.106547i
\(596\) −5.45917 9.15537i −0.223616 0.375018i
\(597\) −20.3143 20.1511i −0.831408 0.824731i
\(598\) 22.7381 17.7033i 0.929829 0.723941i
\(599\) 39.9617 23.0719i 1.63279 0.942692i 0.649563 0.760308i \(-0.274952\pi\)
0.983227 0.182384i \(-0.0583814\pi\)
\(600\) −2.56849 + 24.1987i −0.104858 + 0.987906i
\(601\) 28.4107 + 16.4029i 1.15890 + 0.669090i 0.951040 0.309069i \(-0.100017\pi\)
0.207858 + 0.978159i \(0.433351\pi\)
\(602\) −0.0889692 + 0.0123509i −0.00362611 + 0.000503385i
\(603\) 5.49089 21.1737i 0.223606 0.862259i
\(604\) −21.9198 + 6.20550i −0.891905 + 0.252498i
\(605\) −0.497028 1.85493i −0.0202071 0.0754138i
\(606\) −5.16278 + 42.8787i −0.209724 + 1.74183i
\(607\) −6.36706 11.0281i −0.258431 0.447616i 0.707391 0.706823i \(-0.249872\pi\)
−0.965822 + 0.259207i \(0.916539\pi\)
\(608\) 9.28667 + 3.46899i 0.376624 + 0.140686i
\(609\) 36.4986 + 62.6330i 1.47900 + 2.53802i
\(610\) −0.536116 + 0.226502i −0.0217067 + 0.00917080i
\(611\) 7.58845 7.58845i 0.306996 0.306996i
\(612\) 18.8462 + 18.0295i 0.761814 + 0.728800i
\(613\) 29.9303 + 29.9303i 1.20888 + 1.20888i 0.971392 + 0.237483i \(0.0763225\pi\)
0.237483 + 0.971392i \(0.423677\pi\)
\(614\) 8.61603 21.2223i 0.347715 0.856464i
\(615\) −1.15323 0.659631i −0.0465026 0.0265989i
\(616\) −4.85022 + 6.60525i −0.195421 + 0.266133i
\(617\) 2.50740 1.44765i 0.100944 0.0582802i −0.448678 0.893693i \(-0.648105\pi\)
0.549622 + 0.835413i \(0.314772\pi\)
\(618\) −3.22535 22.5654i −0.129743 0.907714i
\(619\) −5.55188 + 1.48762i −0.223149 + 0.0597926i −0.368661 0.929564i \(-0.620184\pi\)
0.145512 + 0.989356i \(0.453517\pi\)
\(620\) 0.795433 1.42366i 0.0319454 0.0571755i
\(621\) −22.4598 5.72788i −0.901280 0.229852i
\(622\) −15.4035 + 20.3696i −0.617624 + 0.816746i
\(623\) −7.45105 + 12.9056i −0.298520 + 0.517052i
\(624\) −16.6982 26.8846i −0.668461 1.07624i
\(625\) 12.2551 + 21.2265i 0.490204 + 0.849059i
\(626\) −35.9463 4.47517i −1.43670 0.178864i
\(627\) 0.494286 + 1.81539i 0.0197399 + 0.0724999i
\(628\) −9.73041 + 5.80206i −0.388286 + 0.231527i
\(629\) −12.1580 12.1580i −0.484770 0.484770i
\(630\) 3.33460 + 1.32259i 0.132854 + 0.0526934i
\(631\) 33.4420i 1.33130i −0.746262 0.665652i \(-0.768154\pi\)
0.746262 0.665652i \(-0.231846\pi\)
\(632\) −5.16095 6.43956i −0.205292 0.256152i
\(633\) 39.0462 22.7537i 1.55195 0.904379i
\(634\) −2.97987 3.82734i −0.118346 0.152003i
\(635\) 0.539750 2.01438i 0.0214193 0.0799381i
\(636\) 1.76643 1.83161i 0.0700436 0.0726281i
\(637\) −17.5540 65.5126i −0.695516 2.59570i
\(638\) 6.26078 + 4.73440i 0.247867 + 0.187437i
\(639\) −22.6536 + 0.182651i −0.896164 + 0.00722556i
\(640\) 1.16440 1.68310i 0.0460269 0.0665305i
\(641\) 9.42170 16.3189i 0.372135 0.644557i −0.617759 0.786368i \(-0.711959\pi\)
0.989894 + 0.141811i \(0.0452925\pi\)
\(642\) −30.3240 + 12.9558i −1.19679 + 0.511325i
\(643\) −11.8825 3.18391i −0.468601 0.125561i 0.0167890 0.999859i \(-0.494656\pi\)
−0.485390 + 0.874298i \(0.661322\pi\)
\(644\) −29.0683 + 29.8987i −1.14545 + 1.17817i
\(645\) 0.00302267 + 0.00299840i 0.000119018 + 0.000118062i
\(646\) 4.05255 9.98193i 0.159445 0.392734i
\(647\) 8.72393i 0.342973i 0.985186 + 0.171487i \(0.0548570\pi\)
−0.985186 + 0.171487i \(0.945143\pi\)
\(648\) −8.85898 + 23.8646i −0.348013 + 0.937490i
\(649\) 7.08134i 0.277967i
\(650\) −29.7325 12.0710i −1.16620 0.473466i
\(651\) 25.9077 + 25.6996i 1.01540 + 1.00725i
\(652\) −0.597884 42.4553i −0.0234149 1.66268i
\(653\) 18.9252 + 5.07099i 0.740600 + 0.198443i 0.609345 0.792906i \(-0.291433\pi\)
0.131255 + 0.991349i \(0.458099\pi\)
\(654\) −8.64587 20.2363i −0.338080 0.791301i
\(655\) 0.320517 0.555152i 0.0125237 0.0216916i
\(656\) −8.89063 14.4438i −0.347121 0.563935i
\(657\) −8.78094 + 0.0707987i −0.342577 + 0.00276212i
\(658\) −9.36672 + 12.3866i −0.365153 + 0.482878i
\(659\) −10.0113 37.3628i −0.389986 1.45545i −0.830155 0.557533i \(-0.811748\pi\)
0.440168 0.897915i \(-0.354919\pi\)
\(660\) 0.388367 0.00703528i 0.0151172 0.000273848i
\(661\) 7.13570 26.6308i 0.277546 1.03582i −0.676569 0.736379i \(-0.736534\pi\)
0.954116 0.299438i \(-0.0967992\pi\)
\(662\) 17.5868 13.6926i 0.683529 0.532178i
\(663\) −29.7157 + 17.3164i −1.15406 + 0.672515i
\(664\) 21.6590 + 2.38726i 0.840532 + 0.0926436i
\(665\) 1.48177i 0.0574608i
\(666\) 6.18712 15.5993i 0.239746 0.604461i
\(667\) 28.2435 + 28.2435i 1.09359 + 1.09359i
\(668\) 4.42758 17.5064i 0.171308 0.677343i
\(669\) 5.89651 + 21.6565i 0.227972 + 0.837288i
\(670\) −0.230447 + 1.85104i −0.00890296 + 0.0715120i
\(671\) −0.705075 1.22123i −0.0272191 0.0471449i
\(672\) 29.2831 + 35.2116i 1.12962 + 1.35832i
\(673\) 10.0608 17.4258i 0.387815 0.671716i −0.604340 0.796726i \(-0.706563\pi\)
0.992155 + 0.125011i \(0.0398965\pi\)
\(674\) −19.5647 14.7948i −0.753603 0.569875i
\(675\) 6.98133 + 24.8486i 0.268711 + 0.956424i
\(676\) 15.1388 4.28579i 0.582261 0.164838i
\(677\) 19.5932 5.24998i 0.753027 0.201773i 0.138167 0.990409i \(-0.455879\pi\)
0.614860 + 0.788636i \(0.289212\pi\)
\(678\) −25.9264 + 3.70575i −0.995696 + 0.142318i
\(679\) 65.0798 37.5738i 2.49753 1.44195i
\(680\) −1.79272 1.31639i −0.0687476 0.0504812i
\(681\) −20.4528 11.6988i −0.783755 0.448298i
\(682\) 3.66111 + 1.48637i 0.140191 + 0.0569161i
\(683\) −18.4322 18.4322i −0.705287 0.705287i 0.260253 0.965540i \(-0.416194\pi\)
−0.965540 + 0.260253i \(0.916194\pi\)
\(684\) 10.5122 0.232824i 0.401944 0.00890225i
\(685\) −1.92300 + 1.92300i −0.0734741 + 0.0734741i
\(686\) 20.1880 + 47.7838i 0.770782 + 1.82439i
\(687\) 14.6593 + 25.1559i 0.559286 + 0.959756i
\(688\) 0.0155406 + 0.0520847i 0.000592481 + 0.00198571i
\(689\) 1.67776 + 2.90597i 0.0639177 + 0.110709i
\(690\) 1.96241 + 0.236283i 0.0747076 + 0.00899512i
\(691\) −4.19392 15.6519i −0.159544 0.595427i −0.998673 0.0514946i \(-0.983601\pi\)
0.839129 0.543932i \(-0.183065\pi\)
\(692\) −9.04716 5.05487i −0.343921 0.192157i
\(693\) −2.18185 + 8.41354i −0.0828817 + 0.319604i
\(694\) 1.39352 + 10.0381i 0.0528972 + 0.381043i
\(695\) 1.58322 + 0.914072i 0.0600549 + 0.0346727i
\(696\) 34.1190 27.5711i 1.29328 1.04508i
\(697\) −15.9623 + 9.21585i −0.604616 + 0.349075i
\(698\) 0.989471 + 1.27087i 0.0374520 + 0.0481033i
\(699\) 12.3573 + 12.2581i 0.467397 + 0.463644i
\(700\) 45.0179 + 11.3856i 1.70152 + 0.430334i
\(701\) 2.97647 2.97647i 0.112420 0.112420i −0.648659 0.761079i \(-0.724670\pi\)
0.761079 + 0.648659i \(0.224670\pi\)
\(702\) −27.0174 19.9216i −1.01971 0.751893i
\(703\) −6.93177 −0.261437
\(704\) 4.39536 + 2.29584i 0.165657 + 0.0865278i
\(705\) 0.736087 0.00296740i 0.0277226 0.000111759i
\(706\) −4.28076 + 34.3847i −0.161108 + 1.29408i
\(707\) 79.6042 + 21.3299i 2.99382 + 0.802192i
\(708\) −38.4053 9.54861i −1.44336 0.358859i
\(709\) −37.3329 + 10.0033i −1.40207 + 0.375682i −0.879086 0.476663i \(-0.841846\pi\)
−0.522980 + 0.852345i \(0.675180\pi\)
\(710\) 1.91352 0.265639i 0.0718132 0.00996926i
\(711\) −7.61542 4.31528i −0.285601 0.161836i
\(712\) 8.40222 + 3.27416i 0.314887 + 0.122704i
\(713\) 17.4131 + 10.0535i 0.652125 + 0.376505i
\(714\) 39.1464 30.7326i 1.46502 1.15014i
\(715\) −0.132571 + 0.494761i −0.00495787 + 0.0185030i
\(716\) −0.0780995 5.54578i −0.00291872 0.207256i
\(717\) 11.3341 + 2.98803i 0.423278 + 0.111590i
\(718\) −6.43169 15.2234i −0.240029 0.568133i
\(719\) 38.3674 1.43086 0.715431 0.698683i \(-0.246230\pi\)
0.715431 + 0.698683i \(0.246230\pi\)
\(720\) 0.485526 2.11578i 0.0180945 0.0788503i
\(721\) −43.4970 −1.61991
\(722\) 8.76696 + 20.7509i 0.326273 + 0.772267i
\(723\) −0.981080 3.60327i −0.0364867 0.134007i
\(724\) −0.634230 + 0.00893166i −0.0235710 + 0.000331943i
\(725\) 11.5118 42.9625i 0.427536 1.59559i
\(726\) −3.67934 25.7416i −0.136553 0.955361i
\(727\) 14.8899 + 8.59667i 0.552235 + 0.318833i 0.750023 0.661412i \(-0.230042\pi\)
−0.197788 + 0.980245i \(0.563376\pi\)
\(728\) −55.2937 + 24.2840i −2.04932 + 0.900025i
\(729\) 0.653006 + 26.9921i 0.0241854 + 0.999707i
\(730\) 0.741714 0.102966i 0.0274521 0.00381096i
\(731\) 0.0570550 0.0152878i 0.00211026 0.000565441i
\(732\) −7.57400 + 2.17722i −0.279943 + 0.0804723i
\(733\) −12.7311 3.41130i −0.470235 0.125999i 0.0159168 0.999873i \(-0.494933\pi\)
−0.486152 + 0.873874i \(0.661600\pi\)
\(734\) −1.96349 + 15.7715i −0.0724737 + 0.582136i
\(735\) 2.30977 4.03815i 0.0851972 0.148949i
\(736\) 20.5475 + 14.6472i 0.757393 + 0.539903i
\(737\) −4.51959 −0.166481
\(738\) −14.4359 10.7346i −0.531391 0.395145i
\(739\) −15.2048 + 15.2048i −0.559316 + 0.559316i −0.929113 0.369797i \(-0.879427\pi\)
0.369797 + 0.929113i \(0.379427\pi\)
\(740\) −0.350884 + 1.38737i −0.0128988 + 0.0510009i
\(741\) −3.53466 + 13.4075i −0.129849 + 0.492536i
\(742\) −2.98298 3.83134i −0.109509 0.140653i
\(743\) −36.6127 + 21.1384i −1.34319 + 0.775491i −0.987274 0.159027i \(-0.949164\pi\)
−0.355916 + 0.934518i \(0.615831\pi\)
\(744\) 12.9980 17.8516i 0.476529 0.654472i
\(745\) 0.834963 + 0.482066i 0.0305907 + 0.0176615i
\(746\) −2.32897 16.7766i −0.0852696 0.614236i
\(747\) 22.2755 6.16161i 0.815017 0.225441i
\(748\) 2.62847 4.70442i 0.0961065 0.172010i
\(749\) 16.2860 + 60.7803i 0.595079 + 2.22086i
\(750\) −1.73522 4.06141i −0.0633613 0.148302i
\(751\) −9.72823 16.8498i −0.354988 0.614857i 0.632128 0.774864i \(-0.282182\pi\)
−0.987116 + 0.160007i \(0.948848\pi\)
\(752\) 8.26731 + 4.46758i 0.301478 + 0.162916i
\(753\) −8.94764 + 0.0360708i −0.326070 + 0.00131449i
\(754\) 22.5123 + 53.2852i 0.819850 + 1.94053i
\(755\) 1.45702 1.45702i 0.0530264 0.0530264i
\(756\) 42.6884 + 23.1781i 1.55256 + 0.842981i
\(757\) 26.9716 + 26.9716i 0.980300 + 0.980300i 0.999810 0.0195093i \(-0.00621039\pi\)
−0.0195093 + 0.999810i \(0.506210\pi\)
\(758\) 21.5210 + 8.73726i 0.781677 + 0.317352i
\(759\) 0.0193064 + 4.78910i 0.000700778 + 0.173833i
\(760\) −0.886316 + 0.135788i −0.0321501 + 0.00492553i
\(761\) 15.0417 8.68435i 0.545263 0.314808i −0.201946 0.979397i \(-0.564727\pi\)
0.747209 + 0.664589i \(0.231393\pi\)
\(762\) 10.5168 26.2069i 0.380985 0.949376i
\(763\) −40.5609 + 10.8683i −1.46840 + 0.393457i
\(764\) 11.3199 + 39.9856i 0.409541 + 1.44663i
\(765\) −2.28350 0.592172i −0.0825603 0.0214100i
\(766\) −32.7785 24.7871i −1.18434 0.895595i
\(767\) 26.0930 45.1944i 0.942163 1.63187i
\(768\) 18.3782 20.7423i 0.663165 0.748473i
\(769\) 15.0664 + 26.0957i 0.543307 + 0.941036i 0.998711 + 0.0507510i \(0.0161615\pi\)
−0.455404 + 0.890285i \(0.650505\pi\)
\(770\) 0.0915702 0.735527i 0.00329996 0.0265066i
\(771\) 17.0728 + 4.50096i 0.614862 + 0.162098i
\(772\) 29.8432 + 7.54771i