Properties

Label 144.2.x.e.13.17
Level $144$
Weight $2$
Character 144.13
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 13.17
Character \(\chi\) \(=\) 144.13
Dual form 144.2.x.e.133.17

$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

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

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 0.954666 0.297679i \(-0.0962125\pi\)
−0.975604 + 0.219536i \(0.929546\pi\)
\(6\) −0.912266 2.27327i −0.372431 0.928060i
\(7\) 4.04791 2.33706i 1.52997 0.883327i 0.530605 0.847619i \(-0.321965\pi\)
0.999362 0.0357075i \(-0.0113685\pi\)
\(8\) 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 0.167424 0.985885i \(-0.446455\pi\)
−0.347949 + 0.937513i \(0.613122\pi\)
\(12\) 0.0627420 3.46353i 0.0181121 0.999836i
\(13\) −4.41237 + 1.18229i −1.22377 + 0.327909i −0.812152 0.583446i \(-0.801704\pi\)
−0.411621 + 0.911355i \(0.635037\pi\)
\(14\) 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 0.550529 0.834816i \(-0.314426\pi\)
−0.834816 + 0.550529i \(0.814426\pi\)
\(20\) 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 0.0398812 0.999204i \(-0.487302\pi\)
−0.845396 + 0.534140i \(0.820635\pi\)
\(24\) 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 0.321597 + 0.946877i \(0.395780\pi\)
−0.751949 + 0.659221i \(0.770886\pi\)
\(30\) −0.354505 + 0.265837i −0.0647235 + 0.0485351i
\(31\) −2.25376 + 3.90364i −0.404788 + 0.701114i −0.994297 0.106648i \(-0.965988\pi\)
0.589509 + 0.807762i \(0.299321\pi\)
\(32\) −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 −0.438783 0.898593i \(-0.644590\pi\)
0.898593 + 0.438783i \(0.144590\pi\)
\(38\) −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 0.758541 0.651626i \(-0.225913\pi\)
−0.185054 + 0.982728i \(0.559246\pi\)
\(42\) −9.00555 7.06999i −1.38959 1.09092i
\(43\) −0.0131254 0.00351694i −0.00200161 0.000536329i 0.257818 0.966193i \(-0.416996\pi\)
−0.259820 + 0.965657i \(0.583663\pi\)
\(44\) −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 0.767548 0.640991i \(-0.221477\pi\)
−0.938889 + 0.344221i \(0.888143\pi\)
\(48\) 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 −0.741880 0.670533i \(-0.766066\pi\)
0.670533 + 0.741880i \(0.266066\pi\)
\(54\) 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 −0.838258 0.545273i \(-0.816426\pi\)
0.453317 0.891350i \(-0.350241\pi\)
\(60\) −0.608133 + 0.151199i −0.0785097 + 0.0195196i
\(61\) 0.588805 2.19745i 0.0753887 0.281355i −0.917932 0.396737i \(-0.870143\pi\)
0.993321 + 0.115382i \(0.0368093\pi\)
\(62\) −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 0.198484 0.980104i \(-0.436398\pi\)
0.661944 + 0.749553i \(0.269732\pi\)
\(68\) −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 \(0.147898\pi\)
−0.893985 + 0.448096i \(0.852102\pi\)
\(72\) −7.93080 + 3.01703i −0.934653 + 0.355561i
\(73\) 2.92707i 0.342588i 0.985220 + 0.171294i \(0.0547948\pi\)
−0.985220 + 0.171294i \(0.945205\pi\)
\(74\) 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 0.936347 0.351076i \(-0.114184\pi\)
−0.772214 + 0.635362i \(0.780851\pi\)
\(80\) 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 −0.765908 0.642950i \(-0.777710\pi\)
0.984771 0.173858i \(-0.0556232\pi\)
\(84\) −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 \(-0.945954\pi\)
0.985620 0.168975i \(-0.0540457\pi\)
\(90\) 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 0.908460 + 0.417972i \(0.137259\pi\)
−0.0922553 + 0.995735i \(0.529408\pi\)
\(98\) 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 0.971578 0.236720i \(-0.0760724\pi\)
0.723051 + 0.690795i \(0.242739\pi\)
\(102\) 3.96554 + 9.88172i 0.392647 + 0.978436i
\(103\) −8.05916 4.65296i −0.794093 0.458470i 0.0473086 0.998880i \(-0.484936\pi\)
−0.841401 + 0.540411i \(0.818269\pi\)
\(104\) −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 −0.0767848 0.997048i \(-0.524465\pi\)
0.997048 + 0.0767848i \(0.0244654\pi\)
\(108\) 10.3887 + 0.271994i 0.999657 + 0.0261727i
\(109\) −6.35255 6.35255i −0.608464 0.608464i 0.334081 0.942544i \(-0.391574\pi\)
−0.942544 + 0.334081i \(0.891574\pi\)
\(110\) −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 −0.497087 0.867701i \(-0.665597\pi\)
0.999994 0.00336088i \(-0.00106980\pi\)
\(114\) −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 −0.405229 0.914215i \(-0.632808\pi\)
0.106169 + 0.994348i \(0.466141\pi\)
\(132\) −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 0.172895 0.984940i \(-0.444688\pi\)
0.939431 + 0.342739i \(0.111354\pi\)
\(138\) −1.54605 + 10.8166i −0.131609 + 0.920770i
\(139\) 2.61562 + 9.76161i 0.221854 + 0.827969i 0.983641 + 0.180142i \(0.0576556\pi\)
−0.761787 + 0.647828i \(0.775678\pi\)
\(140\) 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 0.999130 0.0417013i \(-0.0132778\pi\)
−0.886123 + 0.463451i \(0.846611\pi\)
\(150\) −9.57036 7.51340i −0.781417 0.613467i
\(151\) −9.86458 + 5.69532i −0.802768 + 0.463479i −0.844438 0.535653i \(-0.820066\pi\)
0.0416699 + 0.999131i \(0.486732\pi\)
\(152\) 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 −0.470455 0.882424i \(-0.655910\pi\)
0.0337857 + 0.999429i \(0.489244\pi\)
\(158\) 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 0.980802 + 0.195004i \(0.0624721\pi\)
0.195004 + 0.980802i \(0.437528\pi\)
\(164\) 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 0.771032 0.636796i \(-0.219741\pi\)
−0.165966 + 0.986132i \(0.553074\pi\)
\(168\) −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 −0.997983 0.0634788i \(-0.979780\pi\)
0.896018 + 0.444017i \(0.146447\pi\)
\(174\) 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 0.776582 0.630016i \(-0.216952\pi\)
−0.630016 + 0.776582i \(0.716952\pi\)
\(180\) 0.927724 + 0.563373i 0.0691485 + 0.0419913i
\(181\) −0.224256 + 0.224256i −0.0166688 + 0.0166688i −0.715392 0.698723i \(-0.753752\pi\)
0.698723 + 0.715392i \(0.253752\pi\)
\(182\) −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 −0.946978 0.321298i \(-0.895881\pi\)
0.195237 0.980756i \(-0.437452\pi\)
\(192\) 13.8416 + 0.640998i 0.998929 + 0.0462600i
\(193\) 7.69572 13.3294i 0.553950 0.959469i −0.444035 0.896010i \(-0.646453\pi\)
0.997984 0.0634596i \(-0.0202134\pi\)
\(194\) 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 −0.738616 0.674126i \(-0.764520\pi\)
0.674126 + 0.738616i \(0.264520\pi\)
\(198\) 1.63226 2.06196i 0.116000 0.146537i
\(199\) 16.5201i 1.17108i −0.810645 0.585538i \(-0.800883\pi\)
0.810645 0.585538i \(-0.199117\pi\)
\(200\) 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 −0.981331 0.192325i \(-0.938397\pi\)
−0.753695 + 0.657224i \(0.771730\pi\)
\(212\) −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 0.997204 0.0747295i \(-0.0238093\pi\)
−0.563320 + 0.826239i \(0.690476\pi\)
\(224\) 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 −0.745045 0.667014i \(-0.767572\pi\)
0.978735 0.205128i \(-0.0657611\pi\)
\(228\) −4.36969 + 4.21419i −0.289390 + 0.279092i
\(229\) 4.35071 + 16.2371i 0.287503 + 1.07298i 0.946991 + 0.321260i \(0.104106\pi\)
−0.659488 + 0.751715i \(0.729227\pi\)
\(230\) −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 \(0.106771\pi\)
−0.944269 + 0.329176i \(0.893229\pi\)
\(234\) 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 −0.954463 0.298330i \(-0.903570\pi\)
0.735593 + 0.677424i \(0.236904\pi\)
\(240\) −1.06465 0.661260i −0.0687230 0.0426842i
\(241\) −1.07804 1.86722i −0.0694428 0.120278i 0.829213 0.558932i \(-0.188789\pi\)
−0.898656 + 0.438654i \(0.855455\pi\)
\(242\) −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 −0.582362 0.812930i \(-0.697871\pi\)
0.812930 + 0.582362i \(0.197871\pi\)
\(252\) −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 −0.980057 0.198716i \(-0.936323\pi\)
0.662122 + 0.749396i \(0.269656\pi\)
\(258\) 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 0.0227239 0.999742i \(-0.492766\pi\)
0.877164 + 0.480191i \(0.159433\pi\)
\(264\) −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 0.993014 + 0.117993i \(0.0376461\pi\)
0.117993 + 0.993014i \(0.462354\pi\)
\(270\) −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 0.337180 0.941440i \(-0.390527\pi\)
−0.178714 + 0.983901i \(0.557194\pi\)
\(278\) −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 −0.981013 0.193941i \(-0.937873\pi\)
−0.322549 + 0.946553i \(0.604540\pi\)
\(282\) −3.55351 + 4.52636i −0.211608 + 0.269541i
\(283\) −2.31429 8.63704i −0.137570 0.513419i −0.999974 0.00719814i \(-0.997709\pi\)
0.862404 0.506221i \(-0.168958\pi\)
\(284\) −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 −0.924179 0.381960i \(-0.875249\pi\)
0.609383 0.792876i \(-0.291417\pi\)
\(294\) −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 0.953863 0.300243i \(-0.0970679\pi\)
−0.300243 + 0.953863i \(0.597068\pi\)
\(308\) −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 −0.0138999 0.999903i \(-0.504425\pi\)
−0.872892 + 0.487914i \(0.837758\pi\)
\(312\) −3.47812 + 22.1067i −0.196909 + 1.25155i
\(313\) −22.1825 + 12.8070i −1.25383 + 0.723897i −0.971867 0.235529i \(-0.924318\pi\)
−0.281959 + 0.959426i \(0.590984\pi\)
\(314\) −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 −0.986364 0.164577i \(-0.947374\pi\)
0.936505 + 0.350654i \(0.114041\pi\)
\(318\) 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 0.651658 0.758513i \(-0.274074\pi\)
0.185096 + 0.982721i \(0.440741\pi\)
\(332\) 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 −0.999501 0.0315734i \(-0.989948\pi\)
0.527094 + 0.849807i \(0.323282\pi\)
\(338\) 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 0.898105 0.439780i \(-0.144944\pi\)
−0.997672 + 0.0681917i \(0.978277\pi\)
\(348\) 29.8110 + 8.56947i 1.59804 + 0.459372i
\(349\) 0.294768 1.10009i 0.0157786 0.0588865i −0.957588 0.288142i \(-0.906962\pi\)
0.973366 + 0.229256i \(0.0736291\pi\)
\(350\) 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 −0.982628 0.185587i \(-0.940581\pi\)
0.330591 0.943774i \(-0.392752\pi\)
\(354\) −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 \(0.0997863\pi\)
−0.951264 + 0.308378i \(0.900214\pi\)
\(360\) 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 0.681276 0.732026i \(-0.261425\pi\)
−0.974592 + 0.223990i \(0.928092\pi\)
\(368\) 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 0.998571 + 0.0534347i \(0.0170169\pi\)
−0.838071 + 0.545561i \(0.816316\pi\)
\(374\) 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 −0.342847 0.939391i \(-0.611391\pi\)
0.939391 + 0.342847i \(0.111391\pi\)
\(380\) −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 0.208973 + 0.977921i \(0.432988\pi\)
−0.951391 + 0.307985i \(0.900345\pi\)
\(384\) 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 −0.104341 0.994542i \(-0.533273\pi\)
−0.587632 + 0.809128i \(0.699940\pi\)
\(390\) 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 0.659425 0.751770i \(-0.270800\pi\)
−0.751770 + 0.659425i \(0.770800\pi\)
\(398\) 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 −0.229697 0.973262i \(-0.573774\pi\)
0.957718 0.287708i \(-0.0928931\pi\)
\(402\) −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 0.709543 0.704662i \(-0.248901\pi\)
−0.255484 + 0.966813i \(0.582235\pi\)
\(410\) 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 −0.580240 0.814446i \(-0.697041\pi\)
−0.0952792 + 0.995451i \(0.530374\pi\)
\(420\) −2.10831 + 2.03328i −0.102875 + 0.0992141i
\(421\) −19.2855 5.16753i −0.939918 0.251850i −0.243839 0.969816i \(-0.578407\pi\)
−0.696079 + 0.717966i \(0.745074\pi\)
\(422\) −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 −0.978899 0.204345i \(-0.934493\pi\)
−0.312481 + 0.949924i \(0.601160\pi\)
\(440\) −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 −0.00195701 0.999998i \(-0.500623\pi\)
−0.501694 + 0.865045i \(0.667290\pi\)
\(444\) −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 −0.0520805 0.998643i \(-0.516585\pi\)
0.838810 + 0.544424i \(0.183252\pi\)
\(458\) −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 −0.986520 0.163642i \(-0.947676\pi\)
0.936172 + 0.351542i \(0.114342\pi\)
\(462\) 4.25769 + 5.67781i 0.198086 + 0.264156i
\(463\) −0.773244 + 1.33930i −0.0359357 + 0.0622425i −0.883434 0.468556i \(-0.844774\pi\)
0.847498 + 0.530798i \(0.178108\pi\)
\(464\) −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 0.656056 0.754712i \(-0.272223\pi\)
−0.754712 + 0.656056i \(0.772223\pi\)
\(468\) 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 0.979814 + 0.199914i \(0.0640661\pi\)
−0.316777 + 0.948500i \(0.602601\pi\)
\(480\) −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 \(-0.974043\pi\)
0.996677 0.0814564i \(-0.0259571\pi\)
\(488\) 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 −0.974963 0.222367i \(-0.928622\pi\)
0.733159 0.680057i \(-0.238045\pi\)
\(492\) 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 −0.573203 0.819413i \(-0.694299\pi\)
−0.0867019 + 0.996234i \(0.527633\pi\)
\(500\) 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 \(-0.920213\pi\)
0.968749 0.248042i \(-0.0797872\pi\)
\(504\) −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 −0.751227 0.660044i \(-0.770538\pi\)
−0.320560 + 0.947228i \(0.603871\pi\)
\(510\) 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 \(0.438354\pi\)
−0.192458 + 0.981305i \(0.561646\pi\)
\(522\) −29.7864 23.5791i −1.30371 1.03203i
\(523\) 7.02267 7.02267i 0.307080 0.307080i −0.536696 0.843776i \(-0.680328\pi\)
0.843776 + 0.536696i \(0.180328\pi\)
\(524\) −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 0.951402 0.307950i \(-0.0996431\pi\)
−0.307950 + 0.951402i \(0.599643\pi\)
\(542\) 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 −0.930075 0.367370i \(-0.880258\pi\)
0.989154 + 0.146885i \(0.0469249\pi\)
\(548\) 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 0.850552 0.525890i \(-0.176268\pi\)
−0.525890 + 0.850552i \(0.676268\pi\)
\(558\) −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 −0.678307 0.734779i \(-0.737286\pi\)
−0.220042 + 0.975490i \(0.570619\pi\)
\(564\) −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 0.632676 0.774416i \(-0.281956\pi\)
0.987002 0.160706i \(-0.0513770\pi\)
\(570\) 0.768716 + 0.109875i 0.0321980 + 0.00460217i
\(571\) −2.53873 9.47469i −0.106243 0.396503i 0.892240 0.451561i \(-0.149133\pi\)
−0.998483 + 0.0550573i \(0.982466\pi\)
\(572\) 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 −0.688397 0.725334i \(-0.741685\pi\)
−0.958836 + 0.283960i \(0.908352\pi\)
\(588\) −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 0.983227 + 0.182384i \(0.0583814\pi\)
0.649563 + 0.760308i \(0.274952\pi\)
\(600\) −2.56849 24.1987i −0.104858 0.987906i
\(601\) 28.4107 16.4029i 1.15890 0.669090i 0.207858 0.978159i \(-0.433351\pi\)
0.951040 + 0.309069i \(0.100017\pi\)
\(602\) −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 −0.965822 0.259207i \(-0.916539\pi\)
0.707391 + 0.706823i \(0.249872\pi\)
\(608\) 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 0.237483 0.971392i \(-0.423677\pi\)
0.971392 0.237483i \(-0.0763225\pi\)
\(614\) 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 0.549622 0.835413i \(-0.314772\pi\)
−0.448678 + 0.893693i \(0.648105\pi\)
\(618\) −3.22535 + 22.5654i −0.129743 + 0.907714i
\(619\) −5.55188 1.48762i −0.223149 0.0597926i 0.145512 0.989356i \(-0.453517\pi\)
−0.368661 + 0.929564i \(0.620184\pi\)
\(620\) 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 \(0.231846\pi\)
−0.746262 + 0.665652i \(0.768154\pi\)
\(632\) −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 0.989894 0.141811i \(-0.0452925\pi\)
−0.617759 + 0.786368i \(0.711959\pi\)
\(642\) −30.3240 12.9558i −1.19679 0.511325i
\(643\) −11.8825 + 3.18391i −0.468601 + 0.125561i −0.485390 0.874298i \(-0.661322\pi\)
0.0167890 + 0.999859i \(0.494656\pi\)
\(644\) −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 \(-0.945143\pi\)
0.985186 0.171487i \(-0.0548570\pi\)
\(648\) −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 0.131255 0.991349i \(-0.458099\pi\)
0.609345 + 0.792906i \(0.291433\pi\)
\(654\) −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 0.440168 + 0.897915i \(0.354919\pi\)
−0.830155 + 0.557533i \(0.811748\pi\)
\(660\) 0.388367 + 0.00703528i 0.0151172 + 0.000273848i
\(661\) 7.13570 + 26.6308i 0.277546 + 1.03582i 0.954116 + 0.299438i \(0.0967992\pi\)
−0.676569 + 0.736379i \(0.736534\pi\)
\(662\) 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 0.992155 0.125011i \(-0.0398965\pi\)
−0.604340 + 0.796726i \(0.706563\pi\)
\(674\) −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 0.614860 0.788636i \(-0.289212\pi\)
0.138167 + 0.990409i \(0.455879\pi\)
\(678\) −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 −0.965540 0.260253i \(-0.916194\pi\)
0.260253 + 0.965540i \(0.416194\pi\)
\(684\) 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 0.839129 + 0.543932i \(0.183065\pi\)
−0.998673 + 0.0514946i \(0.983601\pi\)
\(692\) −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 0.761079 0.648659i \(-0.224670\pi\)
−0.648659 + 0.761079i \(0.724670\pi\)
\(702\) −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 −0.522980 0.852345i \(-0.675180\pi\)
−0.879086 + 0.476663i \(0.841846\pi\)
\(710\) 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 −0.197788 0.980245i \(-0.563376\pi\)
0.750023 + 0.661412i \(0.230042\pi\)
\(728\) −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 −0.486152 0.873874i \(-0.661600\pi\)
0.0159168 + 0.999873i \(0.494933\pi\)
\(734\) −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 0.369797 0.929113i \(-0.379427\pi\)
−0.929113 + 0.369797i \(0.879427\pi\)
\(740\) −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 −0.355916 0.934518i \(-0.615831\pi\)
−0.987274 + 0.159027i \(0.949164\pi\)
\(744\) 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 −0.987116 0.160007i \(-0.948848\pi\)
0.632128 + 0.774864i \(0.282182\pi\)
\(752\) 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 −0.0195093 0.999810i \(-0.506210\pi\)
0.999810 + 0.0195093i \(0.00621039\pi\)
\(758\) 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 0.747209 0.664589i \(-0.231393\pi\)
−0.201946 + 0.979397i \(0.564727\pi\)
\(762\) 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 −0.455404 0.890285i \(-0.650505\pi\)
0.998711 0.0507510i \(-0.0161615\pi\)
\(770\) 0.0915702 + 0.735527i 0.00329996 + 0.0265066i
\(771\) 17.0728 4.50096i 0.614862 0.162098i
\(772\) 29.8432 7.54771i 1.07408