Properties

Label 144.2.x.e.85.9
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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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 85.9
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.174715 + 1.40338i) q^{2} +(-1.22967 + 1.21980i) q^{3} +(-1.93895 - 0.490384i) q^{4} +(0.174734 - 0.0468197i) q^{5} +(-1.49700 - 1.93881i) q^{6} +(-4.04791 + 2.33706i) q^{7} +(1.02696 - 2.63540i) q^{8} +(0.0241875 - 2.99990i) q^{9} +O(q^{10})\) \(q+(-0.174715 + 1.40338i) q^{2} +(-1.22967 + 1.21980i) q^{3} +(-1.93895 - 0.490384i) q^{4} +(0.174734 - 0.0468197i) q^{5} +(-1.49700 - 1.93881i) 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} +(0.160430 - 0.598734i) q^{11} +(2.98244 - 1.76211i) q^{12} +(1.18229 + 4.41237i) q^{13} +(-2.57255 - 6.08908i) q^{14} +(-0.157754 + 0.270713i) q^{15} +(3.51905 + 1.90166i) q^{16} -4.34691 q^{17} +(4.20578 + 0.558073i) q^{18} +(-1.23918 + 1.23918i) q^{19} +(-0.361759 + 0.00509454i) q^{20} +(2.12686 - 7.81146i) q^{21} +(0.812222 + 0.329753i) q^{22} +(3.86311 + 2.23037i) q^{23} +(1.95184 + 4.49337i) q^{24} +(-4.30179 + 2.48364i) q^{25} +(-6.39880 + 0.888296i) q^{26} +(3.62953 + 3.71840i) q^{27} +(8.99475 - 2.54642i) q^{28} +(8.64910 + 2.31752i) q^{29} +(-0.352350 - 0.268687i) q^{30} +(-2.25376 + 3.90364i) q^{31} +(-3.28358 + 4.60631i) q^{32} +(0.533058 + 0.931939i) q^{33} +(0.759472 - 6.10037i) q^{34} +(-0.597886 + 0.597886i) q^{35} +(-1.51800 + 5.80480i) q^{36} +(2.79692 + 2.79692i) q^{37} +(-1.52254 - 1.95554i) q^{38} +(-6.83604 - 3.98362i) q^{39} +(0.0560553 - 0.508576i) q^{40} +(-3.67211 - 2.12009i) q^{41} +(10.5908 + 4.34957i) q^{42} +(0.00351694 - 0.0131254i) q^{43} +(-0.604676 + 1.08224i) q^{44} +(-0.136228 - 0.525316i) q^{45} +(-3.80500 + 5.03173i) q^{46} +(-1.17465 - 2.03456i) q^{47} +(-6.64691 + 1.95411i) q^{48} +(7.42373 - 12.8583i) q^{49} +(-2.73390 - 6.47097i) q^{50} +(5.34528 - 5.30235i) q^{51} +(-0.128647 - 9.13515i) q^{52} +(-0.519418 - 0.519418i) q^{53} +(-5.85246 + 4.44395i) q^{54} -0.112130i q^{55} +(2.00207 + 13.0680i) q^{56} +(0.0122364 - 3.03533i) q^{57} +(-4.76349 + 11.7331i) q^{58} +(11.0349 - 2.95679i) q^{59} +(0.438631 - 0.447538i) q^{60} +(-2.19745 - 0.588805i) 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} +(-1.40100 + 0.585258i) q^{66} +(-1.88714 - 7.04291i) q^{67} +(8.42844 + 2.13166i) q^{68} +(-7.47096 + 1.96959i) q^{69} +(-0.734601 - 0.943520i) q^{70} -7.55145i q^{71} +(-7.88112 - 3.14452i) q^{72} -2.92707i q^{73} +(-4.41380 + 3.43647i) q^{74} +(2.26025 - 8.30137i) q^{75} +(3.01038 - 1.79503i) q^{76} +(0.749872 + 2.79856i) q^{77} +(6.78489 - 8.89756i) 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} +(-7.44148 - 1.99394i) q^{83} +(-7.95449 + 14.1030i) q^{84} +(-0.759552 + 0.203521i) q^{85} +(0.0178055 + 0.00722882i) q^{86} +(-13.4625 + 7.70036i) q^{87} +(-1.41315 - 1.03767i) q^{88} +3.18821i q^{89} +(0.761019 - 0.0993992i) q^{90} +(-15.0978 - 15.0978i) q^{91} +(-6.39664 - 6.21898i) q^{92} +(-1.99025 - 7.54933i) q^{93} +(3.06049 - 1.29301i) q^{94} +(-0.158508 + 0.274544i) q^{95} +(-1.58104 - 9.66956i) q^{96} +(8.03868 + 13.9234i) q^{97} +(16.7480 + 12.6648i) q^{98} +(-1.79226 - 0.495757i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.174715 + 1.40338i −0.123542 + 0.992339i
\(3\) −1.22967 + 1.21980i −0.709952 + 0.704250i
\(4\) −1.93895 0.490384i −0.969475 0.245192i
\(5\) 0.174734 0.0468197i 0.0781432 0.0209384i −0.219536 0.975604i \(-0.570454\pi\)
0.297679 + 0.954666i \(0.403788\pi\)
\(6\) −1.49700 1.93881i −0.611146 0.791518i
\(7\) −4.04791 + 2.33706i −1.52997 + 0.883327i −0.530605 + 0.847619i \(0.678035\pi\)
−0.999362 + 0.0357075i \(0.988632\pi\)
\(8\) 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
\(11\) 0.160430 0.598734i 0.0483716 0.180525i −0.937513 0.347949i \(-0.886878\pi\)
0.985885 + 0.167424i \(0.0535449\pi\)
\(12\) 2.98244 1.76211i 0.860957 0.508679i
\(13\) 1.18229 + 4.41237i 0.327909 + 1.22377i 0.911355 + 0.411621i \(0.135037\pi\)
−0.583446 + 0.812152i \(0.698296\pi\)
\(14\) −2.57255 6.08908i −0.687544 1.62737i
\(15\) −0.157754 + 0.270713i −0.0407320 + 0.0698977i
\(16\) 3.51905 + 1.90166i 0.879762 + 0.475415i
\(17\) −4.34691 −1.05428 −0.527141 0.849778i \(-0.676736\pi\)
−0.527141 + 0.849778i \(0.676736\pi\)
\(18\) 4.20578 + 0.558073i 0.991311 + 0.131539i
\(19\) −1.23918 + 1.23918i −0.284287 + 0.284287i −0.834816 0.550529i \(-0.814426\pi\)
0.550529 + 0.834816i \(0.314426\pi\)
\(20\) −0.361759 + 0.00509454i −0.0808918 + 0.00113917i
\(21\) 2.12686 7.81146i 0.464119 1.70460i
\(22\) 0.812222 + 0.329753i 0.173166 + 0.0703035i
\(23\) 3.86311 + 2.23037i 0.805515 + 0.465064i 0.845396 0.534140i \(-0.179365\pi\)
−0.0398812 + 0.999204i \(0.512698\pi\)
\(24\) 1.95184 + 4.49337i 0.398417 + 0.917204i
\(25\) −4.30179 + 2.48364i −0.860357 + 0.496728i
\(26\) −6.39880 + 0.888296i −1.25491 + 0.174209i
\(27\) 3.62953 + 3.71840i 0.698504 + 0.715607i
\(28\) 8.99475 2.54642i 1.69985 0.481227i
\(29\) 8.64910 + 2.31752i 1.60610 + 0.430353i 0.946877 0.321597i \(-0.104220\pi\)
0.659221 + 0.751949i \(0.270886\pi\)
\(30\) −0.352350 0.268687i −0.0643301 0.0490553i
\(31\) −2.25376 + 3.90364i −0.404788 + 0.701114i −0.994297 0.106648i \(-0.965988\pi\)
0.589509 + 0.807762i \(0.299321\pi\)
\(32\) −3.28358 + 4.60631i −0.580460 + 0.814288i
\(33\) 0.533058 + 0.931939i 0.0927935 + 0.162230i
\(34\) 0.759472 6.10037i 0.130248 1.04620i
\(35\) −0.597886 + 0.597886i −0.101061 + 0.101061i
\(36\) −1.51800 + 5.80480i −0.253000 + 0.967466i
\(37\) 2.79692 + 2.79692i 0.459811 + 0.459811i 0.898593 0.438783i \(-0.144590\pi\)
−0.438783 + 0.898593i \(0.644590\pi\)
\(38\) −1.52254 1.95554i −0.246988 0.317231i
\(39\) −6.83604 3.98362i −1.09464 0.637889i
\(40\) 0.0560553 0.508576i 0.00886312 0.0804129i
\(41\) −3.67211 2.12009i −0.573487 0.331103i 0.185054 0.982728i \(-0.440754\pi\)
−0.758541 + 0.651626i \(0.774087\pi\)
\(42\) 10.5908 + 4.34957i 1.63420 + 0.671154i
\(43\) 0.00351694 0.0131254i 0.000536329 0.00200161i −0.965657 0.259820i \(-0.916337\pi\)
0.966193 + 0.257818i \(0.0830035\pi\)
\(44\) −0.604676 + 1.08224i −0.0911583 + 0.163154i
\(45\) −0.136228 0.525316i −0.0203077 0.0783095i
\(46\) −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 \(0.888143\pi\)
\(48\) −6.64691 + 1.95411i −0.959399 + 0.282051i
\(49\) 7.42373 12.8583i 1.06053 1.83690i
\(50\) −2.73390 6.47097i −0.386632 0.915133i
\(51\) 5.34528 5.30235i 0.748489 0.742478i
\(52\) −0.128647 9.13515i −0.0178402 1.26682i
\(53\) −0.519418 0.519418i −0.0713476 0.0713476i 0.670533 0.741880i \(-0.266066\pi\)
−0.741880 + 0.670533i \(0.766066\pi\)
\(54\) −5.85246 + 4.44395i −0.796419 + 0.604745i
\(55\) 0.112130i 0.0151196i
\(56\) 2.00207 + 13.0680i 0.267538 + 1.74628i
\(57\) 0.0122364 3.03533i 0.00162075 0.402040i
\(58\) −4.76349 + 11.7331i −0.625477 + 1.54063i
\(59\) 11.0349 2.95679i 1.43662 0.384942i 0.545273 0.838258i \(-0.316426\pi\)
0.891350 + 0.453317i \(0.149759\pi\)
\(60\) 0.438631 0.447538i 0.0566270 0.0577769i
\(61\) −2.19745 0.588805i −0.281355 0.0753887i 0.115382 0.993321i \(-0.463191\pi\)
−0.396737 + 0.917932i \(0.629857\pi\)
\(62\) −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
\(66\) −1.40100 + 0.585258i −0.172451 + 0.0720403i
\(67\) −1.88714 7.04291i −0.230551 0.860428i −0.980104 0.198484i \(-0.936398\pi\)
0.749553 0.661944i \(-0.230268\pi\)
\(68\) 8.42844 + 2.13166i 1.02210 + 0.258501i
\(69\) −7.47096 + 1.96959i −0.899398 + 0.237111i
\(70\) −0.734601 0.943520i −0.0878016 0.112772i
\(71\) 7.55145i 0.896193i −0.893985 0.448096i \(-0.852102\pi\)
0.893985 0.448096i \(-0.147898\pi\)
\(72\) −7.88112 3.14452i −0.928798 0.370585i
\(73\) 2.92707i 0.342588i −0.985220 0.171294i \(-0.945205\pi\)
0.985220 0.171294i \(-0.0547948\pi\)
\(74\) −4.41380 + 3.43647i −0.513094 + 0.399482i
\(75\) 2.26025 8.30137i 0.260991 0.958560i
\(76\) 3.01038 1.79503i 0.345314 0.205904i
\(77\) 0.749872 + 2.79856i 0.0854558 + 0.318925i
\(78\) 6.78489 8.89756i 0.768237 1.00745i
\(79\) 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
\(83\) −7.44148 1.99394i −0.816808 0.218863i −0.173858 0.984771i \(-0.555623\pi\)
−0.642950 + 0.765908i \(0.722290\pi\)
\(84\) −7.95449 + 14.1030i −0.867906 + 1.53877i
\(85\) −0.759552 + 0.203521i −0.0823850 + 0.0220750i
\(86\) 0.0178055 + 0.00722882i 0.00192001 + 0.000779503i
\(87\) −13.4625 + 7.70036i −1.44333 + 0.825566i
\(88\) −1.41315 1.03767i −0.150642 0.110616i
\(89\) 3.18821i 0.337950i 0.985620 + 0.168975i \(0.0540457\pi\)
−0.985620 + 0.168975i \(0.945954\pi\)
\(90\) 0.761019 0.0993992i 0.0802185 0.0104776i
\(91\) −15.0978 15.0978i −1.58268 1.58268i
\(92\) −6.39664 6.21898i −0.666896 0.648373i
\(93\) −1.99025 7.54933i −0.206380 0.782829i
\(94\) 3.06049 1.29301i 0.315665 0.133364i
\(95\) −0.158508 + 0.274544i −0.0162626 + 0.0281676i
\(96\) −1.58104 9.66956i −0.161364 0.986895i
\(97\) 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
\(99\) −1.79226 0.495757i −0.180129 0.0498255i
\(100\) 9.55888 2.70612i 0.955888 0.270612i
\(101\) −4.56339 + 17.0308i −0.454074 + 1.69463i 0.236720 + 0.971578i \(0.423928\pi\)
−0.690795 + 0.723051i \(0.742739\pi\)
\(102\) 6.50731 + 8.42786i 0.644320 + 0.834482i
\(103\) 8.05916 + 4.65296i 0.794093 + 0.458470i 0.841401 0.540411i \(-0.181731\pi\)
−0.0473086 + 0.998880i \(0.515064\pi\)
\(104\) 12.8426 + 1.41551i 1.25932 + 0.138802i
\(105\) 0.00590388 1.46450i 0.000576159 0.142921i
\(106\) 0.819691 0.638191i 0.0796155 0.0619866i
\(107\) 9.51927 + 9.51927i 0.920263 + 0.920263i 0.997048 0.0767848i \(-0.0244654\pi\)
−0.0767848 + 0.997048i \(0.524465\pi\)
\(108\) −5.21403 8.98965i −0.501721 0.865030i
\(109\) −6.35255 + 6.35255i −0.608464 + 0.608464i −0.942544 0.334081i \(-0.891574\pi\)
0.334081 + 0.942544i \(0.391574\pi\)
\(110\) 0.157361 + 0.0195909i 0.0150038 + 0.00186792i
\(111\) −6.85097 0.0276184i −0.650265 0.00262143i
\(112\) −18.6891 + 0.526489i −1.76595 + 0.0497486i
\(113\) 5.34598 9.25951i 0.502908 0.871062i −0.497087 0.867701i \(-0.665597\pi\)
0.999994 0.00336088i \(-0.00106980\pi\)
\(114\) 4.25759 + 0.547491i 0.398759 + 0.0512773i
\(115\) 0.779441 + 0.208851i 0.0726832 + 0.0194754i
\(116\) −15.6337 8.73493i −1.45155 0.811018i
\(117\) 13.2653 3.44004i 1.22638 0.318032i
\(118\) 2.22154 + 16.0028i 0.204509 + 1.47317i
\(119\) 17.5959 10.1590i 1.61302 0.931275i
\(120\) 0.551430 + 0.693757i 0.0503384 + 0.0633311i
\(121\) 9.19353 + 5.30789i 0.835776 + 0.482535i
\(122\) 1.21024 2.98098i 0.109570 0.269885i
\(123\) 7.10157 1.87221i 0.640327 0.168811i
\(124\) 6.28421 6.46374i 0.564339 0.580461i
\(125\) −1.27495 + 1.27495i −0.114035 + 0.114035i
\(126\) −18.3289 + 7.57013i −1.63287 + 0.674401i
\(127\) −11.5283 −1.02297 −0.511484 0.859293i \(-0.670904\pi\)
−0.511484 + 0.859293i \(0.670904\pi\)
\(128\) 8.62556 7.32119i 0.762399 0.647108i
\(129\) 0.0116857 + 0.0204299i 0.00102886 + 0.00179875i
\(130\) −1.07650 + 0.454805i −0.0944149 + 0.0398891i
\(131\) 0.917160 + 3.42289i 0.0801327 + 0.299059i 0.994348 0.106169i \(-0.0338586\pi\)
−0.914215 + 0.405229i \(0.867192\pi\)
\(132\) −0.576564 2.06839i −0.0501835 0.180030i
\(133\) 2.12005 7.91213i 0.183832 0.686069i
\(134\) 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 \(-0.888646\pi\)
−0.172895 + 0.984940i \(0.555312\pi\)
\(138\) −1.45879 10.8287i −0.124181 0.921801i
\(139\) −9.76161 + 2.61562i −0.827969 + 0.221854i −0.647828 0.761787i \(-0.724322\pi\)
−0.180142 + 0.983641i \(0.557656\pi\)
\(140\) 1.45246 0.866076i 0.122756 0.0731968i
\(141\) 3.92619 + 1.06900i 0.330645 + 0.0900261i
\(142\) 10.5976 + 1.31935i 0.889327 + 0.110718i
\(143\) 2.83152 0.236783
\(144\) 5.78991 10.5108i 0.482492 0.875900i
\(145\) 1.61979 0.134517
\(146\) 4.10780 + 0.511405i 0.339964 + 0.0423242i
\(147\) 6.55574 + 24.8669i 0.540708 + 2.05099i
\(148\) −4.05152 6.79465i −0.333033 0.558516i
\(149\) −5.14811 + 1.37943i −0.421749 + 0.113007i −0.463451 0.886123i \(-0.653389\pi\)
0.0417013 + 0.999130i \(0.486722\pi\)
\(150\) 11.2551 + 4.62237i 0.918973 + 0.377415i
\(151\) 9.86458 5.69532i 0.802768 0.463479i −0.0416699 0.999131i \(-0.513268\pi\)
0.844438 + 0.535653i \(0.179934\pi\)
\(152\) 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
\(155\) −0.211041 + 0.787617i −0.0169512 + 0.0632629i
\(156\) 11.3012 + 11.0763i 0.904822 + 0.886815i
\(157\) 1.46607 + 5.47145i 0.117005 + 0.436670i 0.999429 0.0337857i \(-0.0107564\pi\)
−0.882424 + 0.470455i \(0.844090\pi\)
\(158\) −3.80094 + 1.60584i −0.302386 + 0.127754i
\(159\) 1.27230 + 0.00512904i 0.100900 + 0.000406760i
\(160\) −0.358086 + 0.958614i −0.0283092 + 0.0757851i
\(161\) −20.8501 −1.64321
\(162\) 1.77589 12.6034i 0.139527 0.990218i
\(163\) 15.0117 15.0117i 1.17581 1.17581i 0.195004 0.980802i \(-0.437528\pi\)
0.980802 0.195004i \(-0.0624721\pi\)
\(164\) 6.08037 + 5.91149i 0.474797 + 0.461610i
\(165\) 0.136776 + 0.137884i 0.0106480 + 0.0107342i
\(166\) 4.09839 10.0948i 0.318097 0.783512i
\(167\) −7.81918 4.51441i −0.605066 0.349335i 0.165966 0.986132i \(-0.446926\pi\)
−0.771032 + 0.636796i \(0.780259\pi\)
\(168\) −18.4021 13.6272i −1.41976 1.05136i
\(169\) −6.81291 + 3.93343i −0.524070 + 0.302572i
\(170\) −0.152912 1.10150i −0.0117278 0.0844810i
\(171\) 3.68744 + 3.74739i 0.281986 + 0.286570i
\(172\) −0.0132557 + 0.0237249i −0.00101073 + 0.00180900i
\(173\) 5.00520 + 1.34114i 0.380539 + 0.101965i 0.444017 0.896018i \(-0.353553\pi\)
−0.0634788 + 0.997983i \(0.520220\pi\)
\(174\) −8.45444 20.2383i −0.640929 1.53426i
\(175\) 11.6088 20.1071i 0.877546 1.51995i
\(176\) 1.70315 1.80189i 0.128380 0.135823i
\(177\) −9.96263 + 17.0962i −0.748837 + 1.28503i
\(178\) −4.47427 0.557029i −0.335361 0.0417511i
\(179\) 1.96093 1.96093i 0.146566 0.146566i −0.630016 0.776582i \(-0.716952\pi\)
0.776582 + 0.630016i \(0.216952\pi\)
\(180\) 0.00653306 + 1.08537i 0.000486946 + 0.0808984i
\(181\) −0.224256 0.224256i −0.0166688 0.0166688i 0.698723 0.715392i \(-0.253752\pi\)
−0.715392 + 0.698723i \(0.753752\pi\)
\(182\) 23.8258 18.5501i 1.76608 1.37503i
\(183\) 3.42037 1.95641i 0.252841 0.144622i
\(184\) 9.84518 7.89037i 0.725796 0.581685i
\(185\) 0.619667 + 0.357765i 0.0455588 + 0.0263034i
\(186\) 10.9423 1.47410i 0.802329 0.108086i
\(187\) −0.697377 + 2.60265i −0.0509972 + 0.190324i
\(188\) 1.27988 + 4.52093i 0.0933446 + 0.329723i
\(189\) −23.3822 6.56932i −1.70080 0.477847i
\(190\) −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 \(-0.437452\pi\)
\(192\) 13.8463 0.529379i 0.999270 0.0382047i
\(193\) 7.69572 13.3294i 0.553950 0.959469i −0.444035 0.896010i \(-0.646453\pi\)
0.997984 0.0634596i \(-0.0202134\pi\)
\(194\) −20.9443 + 8.84869i −1.50371 + 0.635299i
\(195\) −1.38100 0.376010i −0.0988953 0.0269267i
\(196\) −20.6997 + 21.2911i −1.47855 + 1.52079i
\(197\) −0.905158 0.905158i −0.0644898 0.0644898i 0.674126 0.738616i \(-0.264520\pi\)
−0.738616 + 0.674126i \(0.764520\pi\)
\(198\) 1.00887 2.42861i 0.0716974 0.172594i
\(199\) 16.5201i 1.17108i 0.810645 + 0.585538i \(0.199117\pi\)
−0.810645 + 0.585538i \(0.800883\pi\)
\(200\) 2.12763 + 13.8875i 0.150446 + 0.981998i
\(201\) 10.9115 + 6.35854i 0.769637 + 0.448497i
\(202\) −23.1034 9.37971i −1.62555 0.659954i
\(203\) −40.4270 + 10.8324i −2.83742 + 0.760284i
\(204\) −12.9644 + 7.65976i −0.907690 + 0.536290i
\(205\) −0.740902 0.198524i −0.0517469 0.0138655i
\(206\) −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
\(210\) 2.05422 + 0.264156i 0.141755 + 0.0182285i
\(211\) 6.75305 + 25.2027i 0.464899 + 1.73503i 0.657224 + 0.753695i \(0.271730\pi\)
−0.192325 + 0.981331i \(0.561603\pi\)
\(212\) 0.752411 + 1.26184i 0.0516758 + 0.0866635i
\(213\) 9.21125 + 9.28581i 0.631144 + 0.636253i
\(214\) −15.0223 + 11.6960i −1.02690 + 0.799522i
\(215\) 0.00245811i 0.000167642i
\(216\) 13.5269 5.74664i 0.920387 0.391009i
\(217\) 21.0688i 1.43024i
\(218\) −7.80515 10.0249i −0.528631 0.678974i
\(219\) 3.57044 + 3.59934i 0.241268 + 0.243221i
\(220\) −0.0549869 + 0.217415i −0.00370721 + 0.0146581i
\(221\) −5.13932 19.1802i −0.345708 1.29020i
\(222\) 1.23573 9.60968i 0.0829366 0.644960i
\(223\) 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
\(227\) −13.1401 3.52089i −0.872142 0.233690i −0.205128 0.978735i \(-0.565761\pi\)
−0.667014 + 0.745045i \(0.732428\pi\)
\(228\) −1.51220 + 5.87935i −0.100148 + 0.389370i
\(229\) −16.2371 + 4.35071i −1.07298 + 0.287503i −0.751715 0.659488i \(-0.770773\pi\)
−0.321260 + 0.946991i \(0.604106\pi\)
\(230\) −0.429277 + 1.05736i −0.0283057 + 0.0697204i
\(231\) −4.33577 2.52662i −0.285273 0.166239i
\(232\) 14.9899 20.4139i 0.984133 1.34024i
\(233\) 10.0493i 0.658351i −0.944269 0.329176i \(-0.893229\pi\)
0.944269 0.329176i \(-0.106771\pi\)
\(234\) 2.51003 + 19.2173i 0.164086 + 1.25627i
\(235\) −0.300509 0.300509i −0.0196030 0.0196030i
\(236\) −22.8461 + 0.321734i −1.48715 + 0.0209431i
\(237\) −4.87608 1.32763i −0.316735 0.0862390i
\(238\) 11.1827 + 26.4687i 0.724865 + 1.71571i
\(239\) −3.38365 + 5.86066i −0.218870 + 0.379094i −0.954463 0.298330i \(-0.903570\pi\)
0.735593 + 0.677424i \(0.236904\pi\)
\(240\) −1.06995 + 0.652655i −0.0690649 + 0.0421287i
\(241\) −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
\(243\) 11.2426 10.7983i 0.721215 0.692711i
\(244\) 3.97200 + 2.21926i 0.254281 + 0.142073i
\(245\) 0.695154 2.59435i 0.0444118 0.165747i
\(246\) 1.38667 + 10.2933i 0.0884107 + 0.656277i
\(247\) −6.93279 4.00265i −0.441123 0.254683i
\(248\) 7.97313 + 9.94845i 0.506294 + 0.631727i
\(249\) 11.5828 6.62520i 0.734029 0.419855i
\(250\) −1.56649 2.01200i −0.0990735 0.127250i
\(251\) 3.65289 + 3.65289i 0.230568 + 0.230568i 0.812930 0.582362i \(-0.197871\pi\)
−0.582362 + 0.812930i \(0.697871\pi\)
\(252\) −7.42144 27.0450i −0.467507 1.70367i
\(253\) 1.95516 1.95516i 0.122920 0.122920i
\(254\) 2.01417 16.1785i 0.126380 1.01513i
\(255\) 0.685745 1.17676i 0.0429430 0.0736918i
\(256\) 8.76739 + 13.3841i 0.547962 + 0.836503i
\(257\) −5.09689 + 8.82807i −0.317935 + 0.550680i −0.980057 0.198716i \(-0.936323\pi\)
0.662122 + 0.749396i \(0.269656\pi\)
\(258\) −0.0307126 + 0.0128300i −0.00191208 + 0.000798761i
\(259\) −17.8583 4.78511i −1.10966 0.297332i
\(260\) −0.450184 1.59019i −0.0279192 0.0986196i
\(261\) 7.16153 25.8904i 0.443288 1.60258i
\(262\) −4.96385 + 0.689093i −0.306668 + 0.0425723i
\(263\) −14.5937 + 8.42569i −0.899888 + 0.519550i −0.877164 0.480191i \(-0.840567\pi\)
−0.0227239 + 0.999742i \(0.507234\pi\)
\(264\) 3.00347 0.447760i 0.184851 0.0275577i
\(265\) −0.115079 0.0664408i −0.00706924 0.00408143i
\(266\) 10.7333 + 4.35760i 0.658102 + 0.267182i
\(267\) −3.88897 3.92045i −0.238001 0.239928i
\(268\) 0.205343 + 14.5813i 0.0125433 + 0.890692i
\(269\) 18.2219 18.2219i 1.11101 1.11101i 0.117993 0.993014i \(-0.462354\pi\)
0.993014 0.117993i \(-0.0376461\pi\)
\(270\) −0.814557 + 1.05052i −0.0495724 + 0.0639325i
\(271\) 9.95663 0.604822 0.302411 0.953178i \(-0.402208\pi\)
0.302411 + 0.953178i \(0.402208\pi\)
\(272\) −15.2970 8.26634i −0.927516 0.501221i
\(273\) 36.9816 + 0.149085i 2.23823 + 0.00902302i
\(274\) −8.27420 19.5845i −0.499863 1.18314i
\(275\) 0.796902 + 2.97408i 0.0480550 + 0.179344i
\(276\) 15.4517 0.155301i 0.930081 0.00934805i
\(277\) −0.706690 + 2.63740i −0.0424609 + 0.158466i −0.983901 0.178714i \(-0.942806\pi\)
0.941440 + 0.337180i \(0.109473\pi\)
\(278\) −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 \(-0.395460\pi\)
0.981013 + 0.193941i \(0.0621271\pi\)
\(282\) −2.18618 + 5.32316i −0.130185 + 0.316989i
\(283\) 8.63704 2.31429i 0.513419 0.137570i 0.00719814 0.999974i \(-0.497709\pi\)
0.506221 + 0.862404i \(0.331042\pi\)
\(284\) −3.70311 + 14.6419i −0.219739 + 0.868836i
\(285\) −0.139975 0.530947i −0.00829142 0.0314506i
\(286\) −0.494709 + 3.97369i −0.0292528 + 0.234969i
\(287\) 19.8192 1.16989
\(288\) 13.7391 + 9.96184i 0.809582 + 0.587007i
\(289\) 1.89565 0.111509
\(290\) −0.283003 + 2.27319i −0.0166185 + 0.133486i
\(291\) −26.8687 7.31566i −1.57507 0.428852i
\(292\) −1.43539 + 5.67545i −0.0839998 + 0.332130i
\(293\) 20.1100 5.38845i 1.17484 0.314796i 0.381960 0.924179i \(-0.375249\pi\)
0.792876 + 0.609383i \(0.208583\pi\)
\(294\) −36.0431 + 4.85556i −2.10208 + 0.283182i
\(295\) 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
\(299\) −5.27390 + 19.6824i −0.304997 + 1.13827i
\(300\) −8.45337 + 14.9875i −0.488056 + 0.865306i
\(301\) 0.0164386 + 0.0613498i 0.000947507 + 0.00353615i
\(302\) 6.26920 + 14.8388i 0.360752 + 0.853878i
\(303\) −15.1627 26.5087i −0.871072 1.52289i
\(304\) −6.71723 + 2.00423i −0.385259 + 0.114951i
\(305\) −0.411536 −0.0235645
\(306\) −18.2821 2.42590i −1.04512 0.138679i
\(307\) 11.4523 11.4523i 0.653619 0.653619i −0.300243 0.953863i \(-0.597068\pi\)
0.953863 + 0.300243i \(0.0970679\pi\)
\(308\) −0.0815949 5.79399i −0.00464930 0.330143i
\(309\) −15.5858 + 4.10893i −0.886645 + 0.233749i
\(310\) −1.06845 0.433780i −0.0606841 0.0246370i
\(311\) 15.6387 + 9.02903i 0.886792 + 0.511989i 0.872892 0.487914i \(-0.162242\pi\)
0.0138999 + 0.999903i \(0.495575\pi\)
\(312\) −17.5188 + 13.9247i −0.991805 + 0.788331i
\(313\) 22.1825 12.8070i 1.25383 0.723897i 0.281959 0.959426i \(-0.409016\pi\)
0.971867 + 0.235529i \(0.0756823\pi\)
\(314\) −7.93467 + 1.10151i −0.447779 + 0.0621617i
\(315\) 1.77914 + 1.80806i 0.100243 + 0.101873i
\(316\) −1.58953 5.61472i −0.0894180 0.315853i
\(317\) 3.31301 + 0.887719i 0.186077 + 0.0498593i 0.350654 0.936505i \(-0.385959\pi\)
−0.164577 + 0.986364i \(0.552626\pi\)
\(318\) −0.229488 + 1.78462i −0.0128691 + 0.100077i
\(319\) 2.77516 4.80671i 0.155379 0.269124i
\(320\) −1.28274 0.670015i −0.0717071 0.0374550i
\(321\) −23.3172 0.0939989i −1.30144 0.00524651i
\(322\) 3.64282 29.2605i 0.203007 1.63063i
\(323\) 5.38660 5.38660i 0.299719 0.299719i
\(324\) 17.3771 + 4.69426i 0.965395 + 0.260792i
\(325\) −16.0447 16.0447i −0.890001 0.890001i
\(326\) 18.4443 + 23.6899i 1.02154 + 1.31206i
\(327\) 0.0627288 15.5604i 0.00346891 0.860491i
\(328\) −9.35840 + 7.50024i −0.516731 + 0.414131i
\(329\) 9.50978 + 5.49047i 0.524291 + 0.302700i
\(330\) −0.217400 + 0.167859i −0.0119675 + 0.00924032i
\(331\) −4.07910 + 15.2234i −0.224207 + 0.836753i 0.758513 + 0.651658i \(0.225926\pi\)
−0.982721 + 0.185096i \(0.940741\pi\)
\(332\) 13.4508 + 7.51532i 0.738211 + 0.412457i
\(333\) 8.45813 8.32283i 0.463503 0.456088i
\(334\) 7.70156 10.1845i 0.421410 0.557273i
\(335\) −0.659494 1.14228i −0.0360320 0.0624093i
\(336\) 22.3392 23.4443i 1.21871 1.27899i
\(337\) −8.67225 + 15.0208i −0.472407 + 0.818233i −0.999501 0.0315734i \(-0.989948\pi\)
0.527094 + 0.849807i \(0.323282\pi\)
\(338\) −4.32978 10.2483i −0.235509 0.557436i
\(339\) 4.72093 + 17.9072i 0.256406 + 0.972585i
\(340\) 1.57254 0.0221455i 0.0852827 0.00120101i
\(341\) 1.97567 + 1.97567i 0.106988 + 0.106988i
\(342\) −5.90326 + 4.52016i −0.319212 + 0.244422i
\(343\) 36.6800i 1.98053i
\(344\) −0.0309790 0.0227478i −0.00167028 0.00122648i
\(345\) −1.21321 + 0.693942i −0.0653171 + 0.0373606i
\(346\) −2.75661 + 6.78988i −0.148197 + 0.365026i
\(347\) 6.92193 1.85473i 0.371589 0.0995669i −0.0681917 0.997672i \(-0.521723\pi\)
0.439780 + 0.898105i \(0.355056\pi\)
\(348\) 29.8792 8.32884i 1.60169 0.446473i
\(349\) −1.10009 0.294768i −0.0588865 0.0157786i 0.229256 0.973366i \(-0.426371\pi\)
−0.288142 + 0.957588i \(0.593038\pi\)
\(350\) 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 \(-0.392752\pi\)
\(354\) −22.2519 16.9683i −1.18268 0.901856i
\(355\) −0.353557 1.31949i −0.0187649 0.0700314i
\(356\) 1.56345 6.18178i 0.0828625 0.327634i
\(357\) −9.24528 + 33.9557i −0.489312 + 1.79713i
\(358\) 2.40932 + 3.09453i 0.127336 + 0.163551i
\(359\) 11.6859i 0.616757i −0.951264 0.308378i \(-0.900214\pi\)
0.951264 0.308378i \(-0.0997863\pi\)
\(360\) −1.52432 0.180462i −0.0803388 0.00951116i
\(361\) 15.9289i 0.838362i
\(362\) 0.353898 0.275536i 0.0186005 0.0144818i
\(363\) −17.7796 + 4.68729i −0.933186 + 0.246019i
\(364\) 21.8702 + 36.6776i 1.14631 + 1.92243i
\(365\) −0.137045 0.511458i −0.00717325 0.0267709i
\(366\) 2.14799 + 5.14189i 0.112277 + 0.268771i
\(367\) −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
\(371\) 3.31647 + 0.888646i 0.172183 + 0.0461362i
\(372\) 0.156931 + 15.6138i 0.00813647 + 0.809535i
\(373\) −11.5685 + 3.09978i −0.598996 + 0.160501i −0.545561 0.838071i \(-0.683684\pi\)
−0.0534347 + 0.998571i \(0.517017\pi\)
\(374\) −3.53066 1.43341i −0.182566 0.0741197i
\(375\) 0.0125896 3.12296i 0.000650126 0.161269i
\(376\) −6.56820 + 1.00628i −0.338729 + 0.0518948i
\(377\) 40.9031i 2.10661i
\(378\) 13.3045 31.6663i 0.684308 1.62874i
\(379\) 11.6135 + 11.6135i 0.596544 + 0.596544i 0.939391 0.342847i \(-0.111391\pi\)
−0.342847 + 0.939391i \(0.611391\pi\)
\(380\) 0.441971 0.454597i 0.0226727 0.0233204i
\(381\) 14.1760 14.0622i 0.726258 0.720426i
\(382\) 27.0686 11.4361i 1.38495 0.585124i
\(383\) −14.5294 + 25.1657i −0.742418 + 1.28591i 0.208973 + 0.977921i \(0.432988\pi\)
−0.951391 + 0.307985i \(0.900345\pi\)
\(384\) −1.67624 + 19.5241i −0.0855402 + 0.996335i
\(385\) 0.262056 + 0.453894i 0.0133556 + 0.0231326i
\(386\) 17.3616 + 13.1289i 0.883683 + 0.668241i
\(387\) −0.0392899 0.0108680i −0.00199722 0.000552449i
\(388\) −8.75878 30.9388i −0.444660 1.57068i
\(389\) 3.65693 13.6478i 0.185414 0.691973i −0.809128 0.587632i \(-0.800060\pi\)
0.994542 0.104341i \(-0.0332732\pi\)
\(390\) 0.768967 1.87237i 0.0389381 0.0948111i
\(391\) −16.7926 9.69522i −0.849239 0.490308i
\(392\) −26.2629 32.7694i −1.32648 1.65511i
\(393\) −5.30304 3.09028i −0.267503 0.155884i
\(394\) 1.42843 1.11214i 0.0719630 0.0560286i
\(395\) 0.373213 + 0.373213i 0.0187784 + 0.0187784i
\(396\) 3.23200 + 1.84015i 0.162414 + 0.0924708i
\(397\) −1.83996 + 1.83996i −0.0923450 + 0.0923450i −0.751770 0.659425i \(-0.770800\pi\)
0.659425 + 0.751770i \(0.270800\pi\)
\(398\) −23.1839 2.88631i −1.16211 0.144678i
\(399\) 7.04423 + 12.3154i 0.352653 + 0.616539i
\(400\) −19.8612 + 0.559510i −0.993061 + 0.0279755i
\(401\) 14.5786 25.2509i 0.728021 1.26097i −0.229697 0.973262i \(-0.573774\pi\)
0.957718 0.287708i \(-0.0928931\pi\)
\(402\) −10.8298 + 14.2020i −0.540144 + 0.708333i
\(403\) −19.8889 5.32922i −0.990737 0.265467i
\(404\) 17.1998 30.7841i 0.855723 1.53156i
\(405\) −1.57919 + 0.395965i −0.0784707 + 0.0196757i
\(406\) −8.13873 58.6270i −0.403918 2.90961i
\(407\) 2.12332 1.22590i 0.105249 0.0607656i
\(408\) −8.48447 19.5323i −0.420044 0.966991i
\(409\) −9.18277 5.30167i −0.454059 0.262151i 0.255484 0.966813i \(-0.417765\pi\)
−0.709543 + 0.704662i \(0.751099\pi\)
\(410\) 0.408052 1.00508i 0.0201522 0.0496375i
\(411\) 6.84070 25.1243i 0.337427 1.23929i
\(412\) −13.3446 12.9739i −0.657440 0.639180i
\(413\) −37.7581 + 37.7581i −1.85796 + 1.85796i
\(414\) 15.0027 + 11.5363i 0.737341 + 0.566980i
\(415\) −1.39363 −0.0684107
\(416\) −24.2069 9.04238i −1.18684 0.443339i
\(417\) 8.81306 15.1235i 0.431577 0.740603i
\(418\) −1.41511 + 0.597866i −0.0692153 + 0.0292426i
\(419\) 3.70507 + 13.8275i 0.181005 + 0.675519i 0.995451 + 0.0952792i \(0.0303744\pi\)
−0.814446 + 0.580240i \(0.802959\pi\)
\(420\) −0.729616 + 2.83670i −0.0356016 + 0.138417i
\(421\) 5.16753 19.2855i 0.251850 0.939918i −0.717966 0.696079i \(-0.754926\pi\)
0.969816 0.243839i \(-0.0784068\pi\)
\(422\) −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
\(426\) −14.6409 + 11.3045i −0.709352 + 0.547705i
\(427\) 10.2712 2.75215i 0.497056 0.133186i
\(428\) −13.7893 23.1255i −0.666530 1.11781i
\(429\) −3.48184 + 3.45388i −0.168105 + 0.166755i
\(430\) 0.00344967 0.000429470i 0.000166358 2.07109e-5i
\(431\) −8.92159 −0.429738 −0.214869 0.976643i \(-0.568932\pi\)
−0.214869 + 0.976643i \(0.568932\pi\)
\(432\) 5.70136 + 19.9874i 0.274307 + 0.961642i
\(433\) −29.8178 −1.43295 −0.716476 0.697612i \(-0.754246\pi\)
−0.716476 + 0.697612i \(0.754246\pi\)
\(434\) 29.5675 + 3.68104i 1.41928 + 0.176695i
\(435\) −1.99182 + 1.97582i −0.0955003 + 0.0947334i
\(436\) 15.4325 9.20208i 0.739080 0.440700i
\(437\) −7.55091 + 2.02326i −0.361209 + 0.0967857i
\(438\) −5.67505 + 4.38182i −0.271165 + 0.209371i
\(439\) 27.0574 15.6216i 1.29138 0.745579i 0.312481 0.949924i \(-0.398840\pi\)
0.978899 + 0.204345i \(0.0655065\pi\)
\(440\) −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
\(443\) 2.84043 10.6006i 0.134953 0.503651i −0.865045 0.501694i \(-0.832710\pi\)
0.999998 0.00195701i \(-0.000622937\pi\)
\(444\) 13.2701 + 3.41315i 0.629773 + 0.161981i
\(445\) 0.149271 + 0.557087i 0.00707613 + 0.0264085i
\(446\) −16.8814 + 7.13215i −0.799356 + 0.337717i
\(447\) 4.64786 7.97590i 0.219836 0.377247i
\(448\) 36.4954 + 8.14399i 1.72424 + 0.384767i
\(449\) 27.4967 1.29765 0.648824 0.760938i \(-0.275261\pi\)
0.648824 + 0.760938i \(0.275261\pi\)
\(450\) −19.4784 + 8.04491i −0.918221 + 0.379241i
\(451\) −1.85849 + 1.85849i −0.0875128 + 0.0875128i
\(452\) −14.9063 + 15.3321i −0.701134 + 0.721163i
\(453\) −5.18307 + 19.0362i −0.243522 + 0.894397i
\(454\) 7.23693 17.8255i 0.339646 0.836590i
\(455\) −3.34497 1.93122i −0.156815 0.0905370i
\(456\) −7.98676 3.14941i −0.374014 0.147485i
\(457\) −16.8184 + 9.71008i −0.786729 + 0.454218i −0.838810 0.544424i \(-0.816748\pi\)
0.0520805 + 0.998643i \(0.483415\pi\)
\(458\) −3.26883 23.5469i −0.152742 1.10027i
\(459\) −15.7773 16.1636i −0.736419 0.754451i
\(460\) −1.40888 0.787176i −0.0656893 0.0367023i
\(461\) 4.03437 + 1.08101i 0.187900 + 0.0503475i 0.351542 0.936172i \(-0.385658\pi\)
−0.163642 + 0.986520i \(0.552324\pi\)
\(462\) 4.30333 5.64330i 0.200209 0.262550i
\(463\) −0.773244 + 1.33930i −0.0359357 + 0.0622425i −0.883434 0.468556i \(-0.844774\pi\)
0.847498 + 0.530798i \(0.178108\pi\)
\(464\) 26.0295 + 24.6031i 1.20839 + 1.14217i
\(465\) −0.701222 1.22594i −0.0325184 0.0568515i
\(466\) 14.1030 + 1.75577i 0.653308 + 0.0813343i
\(467\) −2.13196 + 2.13196i −0.0986553 + 0.0986553i −0.754712 0.656056i \(-0.772223\pi\)
0.656056 + 0.754712i \(0.272223\pi\)
\(468\) −27.4077 + 0.164973i −1.26692 + 0.00762588i
\(469\) 24.0987 + 24.0987i 1.11277 + 1.11277i
\(470\) 0.474231 0.369224i 0.0218747 0.0170310i
\(471\) −8.47685 4.93978i −0.390593 0.227613i
\(472\) 3.54005 32.1180i 0.162944 1.47835i
\(473\) −0.00729441 0.00421143i −0.000335397 0.000193642i
\(474\) 2.71510 6.61103i 0.124709 0.303655i
\(475\) 2.25301 8.40836i 0.103375 0.385802i
\(476\) −39.0994 + 11.0690i −1.79212 + 0.507349i
\(477\) −1.57077 + 1.54564i −0.0719205 + 0.0707700i
\(478\) −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 \(0.602601\pi\)
\(480\) −0.728987 1.61557i −0.0332735 0.0737405i
\(481\) −9.03428 + 15.6478i −0.411928 + 0.713480i
\(482\) 2.80877 1.18667i 0.127936 0.0540513i
\(483\) 25.6387 25.4328i 1.16660 1.15723i
\(484\) −15.2229 14.8001i −0.691950 0.672731i
\(485\) 2.05652 + 2.05652i 0.0933817 + 0.0933817i
\(486\) 13.1899 + 17.6643i 0.598304 + 0.801269i
\(487\) 3.59517i 0.162913i 0.996677 + 0.0814564i \(0.0259571\pi\)
−0.996677 + 0.0814564i \(0.974043\pi\)
\(488\) −3.80843 + 5.18649i −0.172399 + 0.234781i
\(489\) −0.148234 + 36.7707i −0.00670339 + 1.66283i
\(490\) 3.51940 + 1.42884i 0.158990 + 0.0645483i
\(491\) 19.9964 5.35801i 0.902424 0.241804i 0.222367 0.974963i \(-0.428622\pi\)
0.680057 + 0.733159i \(0.261955\pi\)
\(492\) −14.6877 + 0.147623i −0.662172 + 0.00665535i
\(493\) −37.5969 10.0741i −1.69328 0.453713i
\(494\) 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
\(498\) 7.27399 + 17.4126i 0.325955 + 0.780275i
\(499\) 3.94988 + 14.7412i 0.176821 + 0.659905i 0.996234 + 0.0867019i \(0.0276328\pi\)
−0.819413 + 0.573203i \(0.805701\pi\)
\(500\) 3.09728 1.84685i 0.138515 0.0825938i
\(501\) 15.1217 3.98658i 0.675587 0.178107i
\(502\) −5.76461 + 4.48817i −0.257287 + 0.200317i
\(503\) 11.1260i 0.496085i 0.968749 + 0.248042i \(0.0797872\pi\)
−0.968749 + 0.248042i \(0.920213\pi\)
\(504\) 39.2510 5.68993i 1.74838 0.253449i
\(505\) 3.18951i 0.141931i
\(506\) 2.40223 + 3.08543i 0.106792 + 0.137164i
\(507\) 3.57965 13.1472i 0.158978 0.583888i
\(508\) 22.3527 + 5.65328i 0.991742 + 0.250824i
\(509\) 6.47918 + 24.1806i 0.287185 + 1.07179i 0.947228 + 0.320560i \(0.103871\pi\)
−0.660044 + 0.751227i \(0.729462\pi\)
\(510\) 1.53164 + 1.16796i 0.0678220 + 0.0517181i
\(511\) 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
\(515\) 1.62606 + 0.435701i 0.0716526 + 0.0191993i
\(516\) −0.0126394 0.0453430i −0.000556418 0.00199611i
\(517\) −1.40661 + 0.376900i −0.0618626 + 0.0165760i
\(518\) 9.83543 24.2259i 0.432144 1.06442i
\(519\) −7.79068 + 4.45617i −0.341973 + 0.195604i
\(520\) 2.31030 0.353948i 0.101313 0.0155216i
\(521\) 44.7974i 1.96261i −0.192458 0.981305i \(-0.561646\pi\)
0.192458 0.981305i \(-0.438354\pi\)
\(522\) 35.0828 + 14.5738i 1.53553 + 0.637878i
\(523\) 7.02267 + 7.02267i 0.307080 + 0.307080i 0.843776 0.536696i \(-0.180328\pi\)
−0.536696 + 0.843776i \(0.680328\pi\)
\(524\) −0.0997979 7.08657i −0.00435969 0.309578i
\(525\) 10.2515 + 38.8856i 0.447413 + 1.69711i
\(526\) −9.27470 21.9526i −0.404396 0.957180i
\(527\) 9.79692 16.9688i 0.426761 0.739171i
\(528\) 0.103625 + 4.29323i 0.00450971 + 0.186839i
\(529\) −1.55091 2.68626i −0.0674309 0.116794i
\(530\) 0.113348 0.149891i 0.00492351 0.00651085i
\(531\) −8.60319 33.1752i −0.373347 1.43968i
\(532\) −7.99065 + 14.3016i −0.346438 + 0.620052i
\(533\) 5.01314 18.7093i 0.217143 0.810389i
\(534\) 6.18135 4.77274i 0.267493 0.206537i
\(535\) 2.10903 + 1.21765i 0.0911812 + 0.0526435i
\(536\) −20.4989 2.25940i −0.885419 0.0975910i
\(537\) −0.0193633 + 4.80323i −0.000835590 + 0.207275i
\(538\) 22.3886 + 28.7559i 0.965240 + 1.23975i
\(539\) −6.50770 6.50770i −0.280306 0.280306i
\(540\) −1.33196 1.32667i −0.0573184 0.0570910i
\(541\) 14.9663 14.9663i 0.643452 0.643452i −0.307950 0.951402i \(-0.599643\pi\)
0.951402 + 0.307950i \(0.0996431\pi\)
\(542\) −1.73958 + 13.9729i −0.0747212 + 0.600189i
\(543\) 0.549309 + 0.00221444i 0.0235731 + 9.50308e-5i
\(544\) 14.2734 20.0232i 0.611969 0.858489i
\(545\) −0.812579 + 1.40743i −0.0348071 + 0.0602876i
\(546\) −6.67048 + 51.8732i −0.285470 + 2.21997i
\(547\) −5.15670 1.38173i −0.220485 0.0590787i 0.146885 0.989154i \(-0.453075\pi\)
−0.367370 + 0.930075i \(0.619742\pi\)
\(548\) 28.9301 8.19013i 1.23583 0.349865i
\(549\) −1.81951 + 6.57789i −0.0776547 + 0.280738i
\(550\) −4.31299 + 0.598739i −0.183907 + 0.0255303i
\(551\) −13.5896 + 7.84596i −0.578937 + 0.334249i
\(552\) −2.48170 + 21.7117i −0.105628 + 0.924111i
\(553\) −11.8106 6.81883i −0.502236 0.289966i
\(554\) −3.57781 1.45255i −0.152007 0.0617129i
\(555\) −1.19839 + 0.315935i −0.0508687 + 0.0134107i
\(556\) 20.2099 0.284610i 0.857092 0.0120702i
\(557\) 7.66230 7.66230i 0.324662 0.324662i −0.525890 0.850552i \(-0.676268\pi\)
0.850552 + 0.525890i \(0.176268\pi\)
\(558\) −11.6573 + 15.1601i −0.493495 + 0.641776i
\(559\) 0.0620723 0.00262538
\(560\) −3.24096 + 0.967014i −0.136956 + 0.0408638i
\(561\) −2.31716 4.05106i −0.0978304 0.171036i
\(562\) 13.8873 + 32.8704i 0.585801 + 1.38655i
\(563\) 5.71152 + 21.3157i 0.240712 + 0.898349i 0.975490 + 0.220042i \(0.0706194\pi\)
−0.734779 + 0.678307i \(0.762714\pi\)
\(564\) −7.08845 3.99808i −0.298478 0.168349i
\(565\) 0.500595 1.86825i 0.0210602 0.0785977i
\(566\) 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 \(0.718044\pi\)
−0.987002 + 0.160706i \(0.948623\pi\)
\(570\) 0.769577 0.103674i 0.0322340 0.00434242i
\(571\) 9.47469 2.53873i 0.396503 0.106243i −0.0550573 0.998483i \(-0.517534\pi\)
0.451561 + 0.892240i \(0.350867\pi\)
\(572\) −5.49016 1.38853i −0.229555 0.0580573i
\(573\) 34.7253 + 9.45483i 1.45067 + 0.394981i
\(574\) −3.46271 + 27.8138i −0.144531 + 1.16093i
\(575\) −22.1577 −0.924041
\(576\) −16.3807 + 17.5406i −0.682528 + 0.730860i
\(577\) −0.565932 −0.0235600 −0.0117800 0.999931i \(-0.503750\pi\)
−0.0117800 + 0.999931i \(0.503750\pi\)
\(578\) −0.331200 + 2.66032i −0.0137761 + 0.110655i
\(579\) 6.79593 + 25.7780i 0.282429 + 1.07130i
\(580\) −3.14070 0.794321i −0.130410 0.0329824i
\(581\) 34.7824 9.31992i 1.44302 0.386655i
\(582\) 14.9610 36.4288i 0.620154 1.51002i
\(583\) −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
\(587\) 10.6937 39.9093i 0.441375 1.64723i −0.283960 0.958836i \(-0.591648\pi\)
0.725334 0.688397i \(-0.241685\pi\)
\(588\) −0.516917 51.4305i −0.0213173 2.12096i
\(589\) −2.04448 7.63012i −0.0842415 0.314394i
\(590\) 1.13742 + 2.69221i 0.0468269 + 0.110836i
\(591\) 2.21716 + 0.00893807i 0.0912017 + 0.000367663i
\(592\) 4.52370 + 15.1613i 0.185923 + 0.623124i
\(593\) −12.9281 −0.530893 −0.265447 0.964126i \(-0.585519\pi\)
−0.265447 + 0.964126i \(0.585519\pi\)
\(594\) 1.72183 + 4.21701i 0.0706476 + 0.173026i
\(595\) 2.59896 2.59896i 0.106547 0.106547i
\(596\) 10.6584 0.150098i 0.436584 0.00614827i
\(597\) −20.1511 20.3143i −0.824731 0.831408i
\(598\) −26.7005 10.8401i −1.09187 0.443285i
\(599\) −39.9617 23.0719i −1.63279 0.942692i −0.983227 0.182384i \(-0.941619\pi\)
−0.649563 0.760308i \(-0.725048\pi\)
\(600\) −19.5563 14.4818i −0.798382 0.591219i
\(601\) −28.4107 + 16.4029i −1.15890 + 0.669090i −0.951040 0.309069i \(-0.899983\pi\)
−0.207858 + 0.978159i \(0.566649\pi\)
\(602\) −0.0889692 + 0.0123509i −0.00362611 + 0.000503385i
\(603\) −21.1737 + 5.49089i −0.862259 + 0.223606i
\(604\) −21.9198 + 6.20550i −0.891905 + 0.252498i
\(605\) 1.85493 + 0.497028i 0.0754138 + 0.0202071i
\(606\) 39.8510 16.6475i 1.61883 0.676258i
\(607\) −6.36706 + 11.0281i −0.258431 + 0.447616i −0.965822 0.259207i \(-0.916539\pi\)
0.707391 + 0.706823i \(0.249872\pi\)
\(608\) −1.63910 9.77699i −0.0664743 0.396509i
\(609\) 36.4986 62.6330i 1.47900 2.53802i
\(610\) 0.0719016 0.577541i 0.00291121 0.0233840i
\(611\) 7.58845 7.58845i 0.306996 0.306996i
\(612\) 6.59862 25.2329i 0.266734 1.01998i
\(613\) 29.9303 + 29.9303i 1.20888 + 1.20888i 0.971392 + 0.237483i \(0.0763225\pi\)
0.237483 + 0.971392i \(0.423677\pi\)
\(614\) 14.0711 + 18.0729i 0.567862 + 0.729362i
\(615\) 1.15323 0.659631i 0.0465026 0.0265989i
\(616\) 8.14542 + 0.897790i 0.328188 + 0.0361730i
\(617\) −2.50740 1.44765i −0.100944 0.0582802i 0.448678 0.893693i \(-0.351895\pi\)
−0.549622 + 0.835413i \(0.685228\pi\)
\(618\) −3.04331 22.5907i −0.122420 0.908731i
\(619\) 1.48762 5.55188i 0.0597926 0.223149i −0.929564 0.368661i \(-0.879816\pi\)
0.989356 + 0.145512i \(0.0464830\pi\)
\(620\) 0.795433 1.42366i 0.0319454 0.0571755i
\(621\) 5.72788 + 22.4598i 0.229852 + 0.901280i
\(622\) −15.4035 + 20.3696i −0.617624 + 0.816746i
\(623\) −7.45105 12.9056i −0.298520 0.517052i
\(624\) −16.4809 27.0183i −0.659762 1.08160i
\(625\) 12.2551 21.2265i 0.490204 0.849059i
\(626\) 14.0975 + 33.3680i 0.563451 + 1.33365i
\(627\) −1.81539 0.494286i −0.0724999 0.0197399i
\(628\) −0.159526 11.3278i −0.00636578 0.452029i
\(629\) −12.1580 12.1580i −0.484770 0.484770i
\(630\) −2.84824 + 2.18091i −0.113476 + 0.0868895i
\(631\) 33.4420i 1.33130i −0.746262 0.665652i \(-0.768154\pi\)
0.746262 0.665652i \(-0.231846\pi\)
\(632\) 8.15730 1.24973i 0.324480 0.0497118i
\(633\) −39.0462 22.7537i −1.55195 0.904379i
\(634\) −1.82464 + 4.49432i −0.0724657 + 0.178492i
\(635\) −2.01438 + 0.539750i −0.0799381 + 0.0214193i
\(636\) −2.46441 0.633860i −0.0977202 0.0251342i
\(637\) 65.5126 + 17.5540i 2.59570 + 0.695516i
\(638\) 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 \(0.711959\pi\)
\(642\) 4.20578 32.7064i 0.165989 1.29082i
\(643\) 3.18391 + 11.8825i 0.125561 + 0.468601i 0.999859 0.0167890i \(-0.00534435\pi\)
−0.874298 + 0.485390i \(0.838678\pi\)
\(644\) 40.4272 + 10.2245i 1.59305 + 0.402903i
\(645\) 0.00299840 + 0.00302267i 0.000118062 + 0.000119018i
\(646\) 6.61833 + 8.50057i 0.260395 + 0.334451i
\(647\) 8.72393i 0.342973i 0.985186 + 0.171487i \(0.0548570\pi\)
−0.985186 + 0.171487i \(0.945143\pi\)
\(648\) −9.62388 + 23.5665i −0.378062 + 0.925780i
\(649\) 7.08134i 0.277967i
\(650\) 25.3201 19.7136i 0.993135 0.773230i
\(651\) 25.6996 + 25.9077i 1.00725 + 1.01540i
\(652\) −36.4684 + 21.7454i −1.42821 + 0.851616i
\(653\) −5.07099 18.9252i −0.198443 0.740600i −0.991349 0.131255i \(-0.958099\pi\)
0.792906 0.609345i \(-0.208567\pi\)
\(654\) 21.8262 + 2.80667i 0.853470 + 0.109749i
\(655\) 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
\(659\) 37.3628 + 10.0113i 1.45545 + 0.389986i 0.897915 0.440168i \(-0.145081\pi\)
0.557533 + 0.830155i \(0.311748\pi\)
\(660\) −0.197586 0.334422i −0.00769104 0.0130174i
\(661\) −26.6308 + 7.13570i −1.03582 + 0.277546i −0.736379 0.676569i \(-0.763466\pi\)
−0.299438 + 0.954116i \(0.596799\pi\)
\(662\) −20.6515 8.38428i −0.802644 0.325864i
\(663\) 29.7157 + 17.3164i 1.15406 + 0.672515i
\(664\) −12.8969 + 17.5636i −0.500498 + 0.681600i
\(665\) 1.48177i 0.0574608i
\(666\) 10.2023 + 13.3241i 0.395332 + 0.516298i
\(667\) 28.2435 + 28.2435i 1.09359 + 1.09359i
\(668\) 12.9472 + 12.5876i 0.500942 + 0.487029i
\(669\) −21.6565 5.89651i −0.837288 0.227972i
\(670\) 1.71827 0.725947i 0.0663827 0.0280458i
\(671\) −0.705075 + 1.22123i −0.0272191 + 0.0471449i
\(672\) 28.9983 + 35.4465i 1.11863 + 1.36738i
\(673\) 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
\(675\) −24.8486 6.98133i −0.956424 0.268711i
\(676\) 15.1388 4.28579i 0.582261 0.164838i
\(677\) −5.24998 + 19.5932i −0.201773 + 0.753027i 0.788636 + 0.614860i \(0.210788\pi\)
−0.990409 + 0.138167i \(0.955879\pi\)
\(678\) −25.9554 + 3.49659i −0.996811 + 0.134286i
\(679\) −65.0798 37.5738i −2.49753 1.44195i
\(680\) −0.243667 + 2.21073i −0.00934422 + 0.0847778i
\(681\) 20.4528 11.6988i 0.783755 0.448298i
\(682\) −3.11779 + 2.42743i −0.119386 + 0.0929512i
\(683\) −18.4322 18.4322i −0.705287 0.705287i 0.260253 0.965540i \(-0.416194\pi\)
−0.965540 + 0.260253i \(0.916194\pi\)
\(684\) −5.31211 9.07426i −0.203113 0.346963i
\(685\) −1.92300 + 1.92300i −0.0734741 + 0.0734741i
\(686\) −51.4760 6.40856i −1.96536 0.244680i
\(687\) 14.6593 25.1559i 0.559286 0.959756i
\(688\) 0.0373363 0.0395009i 0.00142343 0.00150596i
\(689\) 1.67776 2.90597i 0.0639177 0.110709i
\(690\) −0.761898 1.82384i −0.0290050 0.0694324i
\(691\) 15.6519 + 4.19392i 0.595427 + 0.159544i 0.543932 0.839129i \(-0.316935\pi\)
0.0514946 + 0.998673i \(0.483601\pi\)
\(692\) −9.04716 5.05487i −0.343921 0.192157i
\(693\) 8.41354 2.18185i 0.319604 0.0828817i
\(694\) 1.39352 + 10.0381i 0.0528972 + 0.381043i
\(695\) −1.58322 + 0.914072i −0.0600549 + 0.0346727i
\(696\) 6.46817 + 43.3870i 0.245176 + 1.64458i
\(697\) 15.9623 + 9.21585i 0.604616 + 0.349075i
\(698\) 0.605875 1.49234i 0.0229327 0.0564861i
\(699\) 12.2581 + 12.3573i 0.463644 + 0.467397i
\(700\) −32.3691 + 33.2939i −1.22344 + 1.25839i
\(701\) 2.97647 2.97647i 0.112420 0.112420i −0.648659 0.761079i \(-0.724670\pi\)
0.761079 + 0.648659i \(0.224670\pi\)
\(702\) −26.5277 20.5692i −1.00122 0.776335i
\(703\) −6.93177 −0.261437
\(704\) −4.18594 + 2.65858i −0.157764 + 0.100199i
\(705\) 0.736087 + 0.00296740i 0.0277226 + 0.000111759i
\(706\) 31.9184 13.4851i 1.20126 0.507518i
\(707\) −21.3299 79.6042i −0.802192 2.99382i
\(708\) 27.7008 28.2632i 1.04106 1.06220i
\(709\) 10.0033 37.3329i 0.375682 1.40207i −0.476663 0.879086i \(-0.658154\pi\)
0.852345 0.522980i \(-0.175180\pi\)
\(710\) 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
\(714\) −46.0375 18.9072i −1.72291 0.707585i
\(715\) 0.494761 0.132571i 0.0185030 0.00495787i
\(716\) −4.76374 + 2.84053i −0.178029 + 0.106156i
\(717\) −2.98803 11.3341i −0.111590 0.423278i
\(718\) 16.3997 + 2.04170i 0.612032 + 0.0761956i
\(719\) 38.3674 1.43086 0.715431 0.698683i \(-0.246230\pi\)
0.715431 + 0.698683i \(0.246230\pi\)
\(720\) 0.519578 2.10767i 0.0193635 0.0785483i
\(721\) −43.4970 −1.61991
\(722\) −22.3543 2.78302i −0.831939 0.103573i
\(723\) 3.60327 + 0.981080i 0.134007 + 0.0364867i
\(724\) 0.324850 + 0.544794i 0.0120730 + 0.0202471i
\(725\) −42.9625 + 11.5118i −1.59559 + 0.427536i
\(726\) −3.47168 25.7704i −0.128846 0.956431i
\(727\) −14.8899 + 8.59667i −0.552235 + 0.318833i −0.750023 0.661412i \(-0.769958\pi\)
0.197788 + 0.980245i \(0.436624\pi\)
\(728\) −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
\(731\) −0.0152878 + 0.0570550i −0.000565441 + 0.00211026i
\(732\) −7.59130 + 2.11608i −0.280583 + 0.0782126i
\(733\) 3.41130 + 12.7311i 0.125999 + 0.470235i 0.999873 0.0159168i \(-0.00506670\pi\)
−0.873874 + 0.486152i \(0.838400\pi\)
\(734\) 14.6403 6.18531i 0.540382 0.228304i
\(735\) 2.30977 + 4.03815i 0.0851972 + 0.148949i
\(736\) −22.9586 + 10.4711i −0.846266 + 0.385970i
\(737\) −4.51959 −0.166481
\(738\) −14.2609 10.9659i −0.524951 0.403662i
\(739\) −15.2048 + 15.2048i −0.559316 + 0.559316i −0.929113 0.369797i \(-0.879427\pi\)
0.369797 + 0.929113i \(0.379427\pi\)
\(740\) −1.02606 0.997562i −0.0377187 0.0366711i
\(741\) 13.4075 3.53466i 0.492536 0.129849i
\(742\) −1.82655 + 4.49901i −0.0670546 + 0.165164i
\(743\) 36.6127 + 21.1384i 1.34319 + 0.775491i 0.987274 0.159027i \(-0.0508356\pi\)
0.355916 + 0.934518i \(0.384169\pi\)
\(744\) −21.9394 2.50773i −0.804339 0.0919378i
\(745\) −0.834963 + 0.482066i −0.0305907 + 0.0176615i
\(746\) −2.32897 16.7766i −0.0852696 0.614236i
\(747\) −6.16161 + 22.2755i −0.225441 + 0.815017i
\(748\) 2.62847 4.70442i 0.0961065 0.172010i
\(749\) −60.7803 16.2860i −2.22086 0.595079i
\(750\) 4.38050 + 0.563297i 0.159953 + 0.0205687i
\(751\) −9.72823 + 16.8498i −0.354988 + 0.614857i −0.987116 0.160007i \(-0.948848\pi\)
0.632128 + 0.774864i \(0.282182\pi\)
\(752\) −0.264624 9.39349i −0.00964983 0.342545i
\(753\) −8.94764 0.0360708i −0.326070 0.00131449i
\(754\) −57.4025 7.14639i −2.09048 0.260256i
\(755\) 1.45702 1.45702i 0.0530264 0.0530264i
\(756\) 42.1153 + 24.2038i 1.53172 + 0.880284i
\(757\) 26.9716 + 26.9716i 0.980300 + 0.980300i 0.999810 0.0195093i \(-0.00621039\pi\)
−0.0195093 + 0.999810i \(0.506210\pi\)
\(758\) −18.3272 + 14.2691i −0.665673 + 0.518276i
\(759\) −0.0193064 + 4.78910i −0.000700778 + 0.173833i
\(760\) 0.560754 + 0.699679i 0.0203407 + 0.0253800i
\(761\) −15.0417 8.68435i −0.545263 0.314808i 0.201946 0.979397i \(-0.435273\pi\)
−0.747209 + 0.664589i \(0.768607\pi\)
\(762\) 17.2578 + 22.3512i 0.625183 + 0.809698i
\(763\) 10.8683 40.5609i 0.393457 1.46840i
\(764\) 11.3199 + 39.9856i 0.409541 + 1.44663i
\(765\) 0.592172 + 2.28350i 0.0214100 + 0.0825603i
\(766\) −32.7785 24.7871i −1.18434 0.895595i
\(767\) 26.0930 + 45.1944i 0.942163 + 1.63187i
\(768\) −27.1069 5.76356i −0.978134 0.207974i
\(769\) 15.0664 26.0957i 0.543307 0.941036i −0.455404 0.890285i \(-0.650505\pi\)
0.998711 0.0507510i \(-0.0161615\pi\)
\(770\) −0.682770 + 0.288461i −0.0246053 + 0.0103954i
\(771\) −4.50096 17.0728i −0.162098 0.614862i
\(772\) −21.4581 + 22.0711i −0.772294 + 0.794357i