Properties

Label 96.2.o.a.11.9
Level 96
Weight 2
Character 96.11
Analytic conductor 0.767
Analytic rank 0
Dimension 56
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) = \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 96.o (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{8})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 11.9
Character \(\chi\) = 96.11
Dual form 96.2.o.a.35.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.478581 + 1.33077i) q^{2} +(0.0499748 + 1.73133i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(-1.06973 - 0.443098i) q^{5} +(-2.28009 + 0.895086i) q^{6} +(2.37247 - 2.37247i) q^{7} +(-2.43303 - 1.44235i) q^{8} +(-2.99501 + 0.173046i) q^{9} +O(q^{10})\) \(q+(0.478581 + 1.33077i) q^{2} +(0.0499748 + 1.73133i) q^{3} +(-1.54192 + 1.27377i) q^{4} +(-1.06973 - 0.443098i) q^{5} +(-2.28009 + 0.895086i) q^{6} +(2.37247 - 2.37247i) q^{7} +(-2.43303 - 1.44235i) q^{8} +(-2.99501 + 0.173046i) q^{9} +(0.0777099 - 1.63563i) q^{10} +(5.50127 + 2.27870i) q^{11} +(-2.28237 - 2.60592i) q^{12} +(0.346353 + 0.836171i) q^{13} +(4.29263 + 2.02180i) q^{14} +(0.713689 - 1.87421i) q^{15} +(0.755041 - 3.92809i) q^{16} -0.685064 q^{17} +(-1.66364 - 3.90286i) q^{18} +(-3.35074 + 1.38792i) q^{19} +(2.21385 - 0.679368i) q^{20} +(4.22609 + 3.98896i) q^{21} +(-0.399635 + 8.41149i) q^{22} +(2.05133 - 2.05133i) q^{23} +(2.37559 - 4.28446i) q^{24} +(-2.58754 - 2.58754i) q^{25} +(-0.946997 + 0.861094i) q^{26} +(-0.449274 - 5.17669i) q^{27} +(-0.636189 + 6.68012i) q^{28} +(-1.98869 - 4.80112i) q^{29} +(2.83570 + 0.0528009i) q^{30} -6.36503i q^{31} +(5.58875 - 0.875120i) q^{32} +(-3.67025 + 9.63838i) q^{33} +(-0.327858 - 0.911666i) q^{34} +(-3.58914 + 1.48667i) q^{35} +(4.39764 - 4.08176i) q^{36} +(0.112738 - 0.272172i) q^{37} +(-3.45061 - 3.79484i) q^{38} +(-1.43038 + 0.641440i) q^{39} +(1.96359 + 2.62100i) q^{40} +(-3.26585 - 3.26585i) q^{41} +(-3.28588 + 7.53300i) q^{42} +(-0.993018 + 2.39736i) q^{43} +(-11.3850 + 3.49375i) q^{44} +(3.28053 + 1.14197i) q^{45} +(3.71159 + 1.74813i) q^{46} +11.7975i q^{47} +(6.83856 + 1.11092i) q^{48} -4.25719i q^{49} +(2.20508 - 4.68178i) q^{50} +(-0.0342360 - 1.18607i) q^{51} +(-1.59914 - 0.848137i) q^{52} +(-1.56192 + 3.77080i) q^{53} +(6.67400 - 3.07535i) q^{54} +(-4.87520 - 4.87520i) q^{55} +(-9.19420 + 2.35035i) q^{56} +(-2.57040 - 5.73187i) q^{57} +(5.43746 - 4.94422i) q^{58} +(-2.20815 + 5.33094i) q^{59} +(1.28685 + 3.79895i) q^{60} +(-1.53549 + 0.636020i) q^{61} +(8.47042 - 3.04618i) q^{62} +(-6.69500 + 7.51609i) q^{63} +(3.83926 + 7.01855i) q^{64} -1.04795i q^{65} +(-14.5830 - 0.271537i) q^{66} +(4.69605 + 11.3373i) q^{67} +(1.05631 - 0.872611i) q^{68} +(3.65405 + 3.44902i) q^{69} +(-3.69612 - 4.06485i) q^{70} +(-7.99150 - 7.99150i) q^{71} +(7.53653 + 3.89882i) q^{72} +(-2.34760 + 2.34760i) q^{73} +(0.416154 + 0.0197717i) q^{74} +(4.35057 - 4.60920i) q^{75} +(3.39869 - 6.40812i) q^{76} +(18.4577 - 7.64543i) q^{77} +(-1.53816 - 1.59653i) q^{78} +8.91043 q^{79} +(-2.54822 + 3.86746i) q^{80} +(8.94011 - 1.03655i) q^{81} +(2.78314 - 5.90908i) q^{82} +(-3.06920 - 7.40970i) q^{83} +(-11.5973 - 0.767615i) q^{84} +(0.732836 + 0.303551i) q^{85} +(-3.66558 - 0.174154i) q^{86} +(8.21294 - 3.68301i) q^{87} +(-10.0981 - 13.4789i) q^{88} +(-1.99332 + 1.99332i) q^{89} +(0.0502980 + 4.91218i) q^{90} +(2.80550 + 1.16208i) q^{91} +(-0.550075 + 5.77591i) q^{92} +(11.0200 - 0.318091i) q^{93} +(-15.6997 + 5.64603i) q^{94} +4.19938 q^{95} +(1.79442 + 9.63224i) q^{96} +8.66510 q^{97} +(5.66537 - 2.03741i) q^{98} +(-16.8706 - 5.87274i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} + O(q^{10}) \) \( 56q - 4q^{3} - 8q^{4} - 4q^{6} - 8q^{7} - 4q^{9} - 16q^{10} - 4q^{12} - 8q^{13} - 8q^{15} - 40q^{16} - 4q^{18} - 8q^{19} - 4q^{21} - 24q^{22} + 16q^{24} - 8q^{25} - 28q^{27} - 8q^{28} + 44q^{30} - 8q^{33} - 24q^{34} + 48q^{36} - 8q^{37} - 28q^{39} + 24q^{40} + 56q^{42} - 8q^{43} - 4q^{45} + 24q^{46} + 48q^{48} - 16q^{51} + 48q^{52} + 40q^{54} + 24q^{55} - 4q^{57} + 96q^{58} + 8q^{60} - 40q^{61} + 40q^{64} - 28q^{66} + 56q^{67} - 4q^{69} + 40q^{70} - 64q^{72} - 8q^{73} + 16q^{75} + 48q^{76} - 92q^{78} + 16q^{79} - 48q^{82} - 136q^{84} - 48q^{85} + 52q^{87} - 48q^{88} - 136q^{90} + 40q^{91} + 8q^{93} - 64q^{94} - 104q^{96} - 16q^{97} + 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{8}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.478581 + 1.33077i 0.338408 + 0.941000i
\(3\) 0.0499748 + 1.73133i 0.0288530 + 0.999584i
\(4\) −1.54192 + 1.27377i −0.770961 + 0.636883i
\(5\) −1.06973 0.443098i −0.478400 0.198160i 0.130435 0.991457i \(-0.458363\pi\)
−0.608834 + 0.793297i \(0.708363\pi\)
\(6\) −2.28009 + 0.895086i −0.930844 + 0.365417i
\(7\) 2.37247 2.37247i 0.896708 0.896708i −0.0984354 0.995143i \(-0.531384\pi\)
0.995143 + 0.0984354i \(0.0313838\pi\)
\(8\) −2.43303 1.44235i −0.860206 0.509948i
\(9\) −2.99501 + 0.173046i −0.998335 + 0.0576820i
\(10\) 0.0777099 1.63563i 0.0245740 0.517232i
\(11\) 5.50127 + 2.27870i 1.65869 + 0.687054i 0.997977 0.0635809i \(-0.0202521\pi\)
0.660718 + 0.750635i \(0.270252\pi\)
\(12\) −2.28237 2.60592i −0.658862 0.752264i
\(13\) 0.346353 + 0.836171i 0.0960612 + 0.231912i 0.964604 0.263701i \(-0.0849433\pi\)
−0.868543 + 0.495613i \(0.834943\pi\)
\(14\) 4.29263 + 2.02180i 1.14725 + 0.540349i
\(15\) 0.713689 1.87421i 0.184274 0.483918i
\(16\) 0.755041 3.92809i 0.188760 0.982023i
\(17\) −0.685064 −0.166152 −0.0830762 0.996543i \(-0.526474\pi\)
−0.0830762 + 0.996543i \(0.526474\pi\)
\(18\) −1.66364 3.90286i −0.392123 0.919913i
\(19\) −3.35074 + 1.38792i −0.768712 + 0.318411i −0.732351 0.680928i \(-0.761577\pi\)
−0.0363614 + 0.999339i \(0.511577\pi\)
\(20\) 2.21385 0.679368i 0.495032 0.151911i
\(21\) 4.22609 + 3.98896i 0.922207 + 0.870462i
\(22\) −0.399635 + 8.41149i −0.0852024 + 1.79333i
\(23\) 2.05133 2.05133i 0.427732 0.427732i −0.460123 0.887855i \(-0.652195\pi\)
0.887855 + 0.460123i \(0.152195\pi\)
\(24\) 2.37559 4.28446i 0.484916 0.874561i
\(25\) −2.58754 2.58754i −0.517508 0.517508i
\(26\) −0.946997 + 0.861094i −0.185721 + 0.168874i
\(27\) −0.449274 5.17669i −0.0864629 0.996255i
\(28\) −0.636189 + 6.68012i −0.120228 + 1.26242i
\(29\) −1.98869 4.80112i −0.369291 0.891546i −0.993867 0.110582i \(-0.964728\pi\)
0.624576 0.780964i \(1.71473\pi\)
\(30\) 2.83570 + 0.0528009i 0.517726 + 0.00964009i
\(31\) 6.36503i 1.14319i −0.820535 0.571596i \(-0.806324\pi\)
0.820535 0.571596i \(-0.193676\pi\)
\(32\) 5.58875 0.875120i 0.987961 0.154701i
\(33\) −3.67025 + 9.63838i −0.638909 + 1.67783i
\(34\) −0.327858 0.911666i −0.0562273 0.156349i
\(35\) −3.58914 + 1.48667i −0.606676 + 0.251293i
\(36\) 4.39764 4.08176i 0.732940 0.680293i
\(37\) 0.112738 0.272172i 0.0185339 0.0447449i −0.914342 0.404944i \(-0.867291\pi\)
0.932876 + 0.360199i \(0.117291\pi\)
\(38\) −3.45061 3.79484i −0.559763 0.615605i
\(39\) −1.43038 + 0.641440i −0.229044 + 0.102713i
\(40\) 1.96359 + 2.62100i 0.310471 + 0.414417i
\(41\) −3.26585 3.26585i −0.510040 0.510040i 0.404499 0.914539i \(-0.367446\pi\)
−0.914539 + 0.404499i \(0.867446\pi\)
\(42\) −3.28588 + 7.53300i −0.507022 + 1.16237i
\(43\) −0.993018 + 2.39736i −0.151434 + 0.365594i −0.981332 0.192321i \(-0.938398\pi\)
0.829898 + 0.557915i \(0.188398\pi\)
\(44\) −11.3850 + 3.49375i −1.71636 + 0.526703i
\(45\) 3.28053 + 1.14197i 0.489033 + 0.170235i
\(46\) 3.71159 + 1.74813i 0.547244 + 0.257748i
\(47\) 11.7975i 1.72084i 0.509589 + 0.860418i \(0.329797\pi\)
−0.509589 + 0.860418i \(0.670203\pi\)
\(48\) 6.83856 + 1.11092i 0.987061 + 0.160347i
\(49\) 4.25719i 0.608171i
\(50\) 2.20508 4.68178i 0.311846 0.662103i
\(51\) −0.0342360 1.18607i −0.00479399 0.166083i
\(52\) −1.59914 0.848137i −0.221760 0.117615i
\(53\) −1.56192 + 3.77080i −0.214546 + 0.517959i −0.994112 0.108361i \(-0.965440\pi\)
0.779566 + 0.626320i \(0.215440\pi\)
\(54\) 6.67400 3.07535i 0.908216 0.418502i
\(55\) −4.87520 4.87520i −0.657372 0.657372i
\(56\) −9.19420 + 2.35035i −1.22863 + 0.314079i
\(57\) −2.57040 5.73187i −0.340458 0.759205i
\(58\) 5.43746 4.94422i 0.713974 0.649208i
\(59\) −2.20815 + 5.33094i −0.287476 + 0.694029i −0.999971 0.00764882i \(-0.997565\pi\)
0.712495 + 0.701678i \(0.247565\pi\)
\(60\) 1.28685 + 3.79895i 0.166131 + 0.490442i
\(61\) −1.53549 + 0.636020i −0.196599 + 0.0814341i −0.478811 0.877918i \(-0.658932\pi\)
0.282212 + 0.959352i \(0.408932\pi\)
\(62\) 8.47042 3.04618i 1.07574 0.386865i
\(63\) −6.69500 + 7.51609i −0.843491 + 0.946939i
\(64\) 3.83926 + 7.01855i 0.479907 + 0.877319i
\(65\) 1.04795i 0.129982i
\(66\) −14.5830 0.271537i −1.79505 0.0334239i
\(67\) 4.69605 + 11.3373i 0.573714 + 1.38507i 0.898371 + 0.439237i \(0.144751\pi\)
−0.324657 + 0.945832i \(0.605249\pi\)
\(68\) 1.05631 0.872611i 0.128097 0.105820i
\(69\) 3.65405 + 3.44902i 0.439895 + 0.415213i
\(70\) −3.69612 4.06485i −0.441771 0.485842i
\(71\) −7.99150 7.99150i −0.948416 0.948416i 0.0503173 0.998733i \(-0.483977\pi\)
−0.998733 + 0.0503173i \(0.983977\pi\)
\(72\) 7.53653 + 3.89882i 0.888188 + 0.459480i
\(73\) −2.34760 + 2.34760i −0.274766 + 0.274766i −0.831015 0.556250i \(-0.812240\pi\)
0.556250 + 0.831015i \(0.312240\pi\)
\(74\) 0.416154 + 0.0197717i 0.0483769 + 0.00229842i
\(75\) 4.35057 4.60920i 0.502361 0.532224i
\(76\) 3.39869 6.40812i 0.389856 0.735062i
\(77\) 18.4577 7.64543i 2.10345 0.871278i
\(78\) −1.53816 1.59653i −0.174163 0.180772i
\(79\) 8.91043 1.00250 0.501251 0.865302i \(-0.332873\pi\)
0.501251 + 0.865302i \(0.332873\pi\)
\(80\) −2.54822 + 3.86746i −0.284900 + 0.432395i
\(81\) 8.94011 1.03655i 0.993346 0.115172i
\(82\) 2.78314 5.90908i 0.307346 0.652549i
\(83\) −3.06920 7.40970i −0.336888 0.813320i −0.998011 0.0630420i \(-0.979920\pi\)
0.661123 0.750278i \(1.72992\pi\)
\(84\) −11.5973 0.767615i −1.26537 0.0837537i
\(85\) 0.732836 + 0.303551i 0.0794872 + 0.0329247i
\(86\) −3.66558 0.174154i −0.395270 0.0187795i
\(87\) 8.21294 3.68301i 0.880520 0.394861i
\(88\) −10.0981 13.4789i −1.07646 1.43685i
\(89\) −1.99332 + 1.99332i −0.211291 + 0.211291i −0.804816 0.593525i \(-0.797736\pi\)
0.593525 + 0.804816i \(0.297736\pi\)
\(90\) 0.0502980 + 4.91218i 0.00530187 + 0.517789i
\(91\) 2.80550 + 1.16208i 0.294096 + 0.121819i
\(92\) −0.550075 + 5.77591i −0.0573493 + 0.602180i
\(93\) 11.0200 0.318091i 1.14272 0.0329845i
\(94\) −15.6997 + 5.64603i −1.61931 + 0.582344i
\(95\) 4.19938 0.430848
\(96\) 1.79442 + 9.63224i 0.183142 + 0.983086i
\(97\) 8.66510 0.879807 0.439904 0.898045i \(-0.355013\pi\)
0.439904 + 0.898045i \(0.355013\pi\)
\(98\) 5.66537 2.03741i 0.572288 0.205810i
\(99\) −16.8706 5.87274i −1.69556 0.590233i
\(100\) 7.28570 + 0.693862i 0.728570 + 0.0693862i
\(101\) −15.6920 6.49983i −1.56141 0.646758i −0.576077 0.817395i \(-0.695417\pi\)
−0.985334 + 0.170637i \(0.945417\pi\)
\(102\) 1.56201 0.613191i 0.154662 0.0607150i
\(103\) −5.39788 + 5.39788i −0.531869 + 0.531869i −0.921128 0.389259i \(-0.872731\pi\)
0.389259 + 0.921128i \(0.372731\pi\)
\(104\) 0.363363 2.53399i 0.0356307 0.248478i
\(105\) −2.75329 6.13969i −0.268693 0.599173i
\(106\) −5.76559 0.273927i −0.560004 0.0266061i
\(107\) 0.0169596 + 0.00702491i 0.00163955 + 0.000679124i 0.383503 0.923540i \(-0.374718\pi\)
−0.381864 + 0.924219i \(0.624718\pi\)
\(108\) 7.28664 + 7.40978i 0.701157 + 0.713007i
\(109\) −4.94357 11.9348i −0.473508 1.14315i −0.962602 0.270919i \(-0.912672\pi\)
0.489094 0.872231i \(-0.337328\pi\)
\(110\) 4.15462 8.82097i 0.396127 0.841047i
\(111\) 0.476854 + 0.181584i 0.0452610 + 0.0172352i
\(112\) −7.52796 11.1106i −0.711325 1.04985i
\(113\) 10.4984 0.987609 0.493804 0.869573i \(-0.335606\pi\)
0.493804 + 0.869573i \(0.335606\pi\)
\(114\) 6.39768 6.16379i 0.599198 0.577292i
\(115\) −3.10332 + 1.28544i −0.289386 + 0.119868i
\(116\) 9.18191 + 4.86983i 0.852519 + 0.452152i
\(117\) −1.18203 2.44440i −0.109278 0.225985i
\(118\) −8.15105 0.387261i −0.750365 0.0356503i
\(119\) −1.62529 + 1.62529i −0.148990 + 0.148990i
\(120\) −4.43969 + 3.53061i −0.405286 + 0.322299i
\(121\) 17.2933 + 17.2933i 1.57212 + 1.57212i
\(122\) −1.58125 1.73900i −0.143160 0.157442i
\(123\) 5.49105 5.81747i 0.495112 0.524544i
\(124\) 8.10756 + 9.81437i 0.728080 + 0.881357i
\(125\) 3.83694 + 9.26318i 0.343186 + 0.828524i
\(126\) −13.2063 5.31248i −1.17651 0.473273i
\(127\) 0.793212i 0.0703862i 0.999381 + 0.0351931i \(0.0112046\pi\)
−0.999381 + 0.0351931i \(0.988795\pi\)
\(128\) −7.50272 + 8.46813i −0.663153 + 0.748484i
\(129\) −4.20024 1.59943i −0.369811 0.140822i
\(130\) 1.39458 0.501528i 0.122313 0.0439869i
\(131\) 9.39267 3.89057i 0.820641 0.339921i 0.0674502 0.997723i \(-0.478514\pi\)
0.753191 + 0.657802i \(0.228514\pi\)
\(132\) −6.61780 19.5367i −0.576006 1.70045i
\(133\) −4.65672 + 11.2423i −0.403789 + 0.974832i
\(134\) −12.8399 + 11.6752i −1.10920 + 1.00858i
\(135\) −1.81318 + 5.73676i −0.156054 + 0.493741i
\(136\) 1.66678 + 0.988102i 0.142925 + 0.0847290i
\(137\) 2.95969 + 2.95969i 0.252863 + 0.252863i 0.822144 0.569280i \(-0.192778\pi\)
−0.569280 + 0.822144i \(0.692778\pi\)
\(138\) −2.84111 + 6.51334i −0.241851 + 0.554453i
\(139\) −1.91155 + 4.61488i −0.162135 + 0.391429i −0.983979 0.178284i \(-0.942946\pi\)
0.821844 + 0.569713i \(0.192946\pi\)
\(140\) 3.64050 6.86406i 0.307679 0.580119i
\(141\) −20.4253 + 0.589576i −1.72012 + 0.0496512i
\(142\) 6.81030 14.4595i 0.571508 1.21341i
\(143\) 5.38924i 0.450671i
\(144\) −1.58161 + 11.8953i −0.131801 + 0.991276i
\(145\) 6.01711i 0.499694i
\(146\) −4.24764 2.00061i −0.351537 0.165572i
\(147\) 7.37061 0.212753i 0.607917 0.0175475i
\(148\) 0.172852 + 0.563270i 0.0142083 + 0.0463005i
\(149\) −5.53451 + 13.3615i −0.453405 + 1.09462i 0.517614 + 0.855614i \(0.326820\pi\)
−0.971019 + 0.239002i \(0.923180\pi\)
\(150\) 8.21590 + 3.58376i 0.670825 + 0.292613i
\(151\) 2.96063 + 2.96063i 0.240932 + 0.240932i 0.817236 0.576303i \(-0.195505\pi\)
−0.576303 + 0.817236i \(0.695505\pi\)
\(152\) 10.1543 + 1.45608i 0.823623 + 0.118104i
\(153\) 2.05177 0.118548i 0.165876 0.00958400i
\(154\) 19.0078 + 20.9041i 1.53170 + 1.68450i
\(155\) −2.82033 + 6.80889i −0.226535 + 0.546903i
\(156\) 1.38849 2.81102i 0.111168 0.225062i
\(157\) −16.1213 + 6.67768i −1.28662 + 0.532937i −0.917977 0.396633i \(-0.870178\pi\)
−0.368646 + 0.929570i \(0.620178\pi\)
\(158\) 4.26436 + 11.8578i 0.339254 + 0.943354i
\(159\) −6.60656 2.51575i −0.523934 0.199512i
\(160\) −6.36624 1.54022i −0.503296 0.121765i
\(161\) 9.73343i 0.767102i
\(162\) 5.65797 + 11.4012i 0.444532 + 0.895763i
\(163\) −4.62172 11.1578i −0.362001 0.873949i −0.995007 0.0998018i \(-0.968179\pi\)
0.633006 0.774147i \(-0.281821\pi\)
\(164\) 9.19561 + 0.875755i 0.718057 + 0.0683849i
\(165\) 8.19695 8.68422i 0.638131 0.676066i
\(166\) 8.39177 7.63054i 0.651328 0.592245i
\(167\) −1.28603 1.28603i −0.0995157 0.0995157i 0.655596 0.755112i \(-0.272417\pi\)
−0.755112 + 0.655596i \(0.772417\pi\)
\(168\) −4.52872 15.8007i −0.349398 1.21905i
\(169\) 8.61317 8.61317i 0.662551 0.662551i
\(170\) −0.0532362 + 1.12051i −0.00408303 + 0.0859394i
\(171\) 9.79530 4.73666i 0.749065 0.362222i
\(172\) −1.52252 4.96141i −0.116091 0.378304i
\(173\) 0.0565964 0.0234430i 0.00430295 0.00178234i −0.380531 0.924768i \(-0.624259\pi\)
0.384834 + 0.922986i \(0.374259\pi\)
\(174\) 8.83182 + 9.16695i 0.669538 + 0.694945i
\(175\) −12.2777 −0.928107
\(176\) 13.1046 19.8890i 0.987798 1.49919i
\(177\) −9.33996 3.55662i −0.702034 0.267332i
\(178\) −3.60662 1.69869i −0.270327 0.127322i
\(179\) 1.17461 + 2.83576i 0.0877946 + 0.211955i 0.961678 0.274180i \(-0.0884064\pi\)
−0.873884 + 0.486135i \(0.838406\pi\)
\(180\) −6.51293 + 2.41781i −0.485445 + 0.180213i
\(181\) −20.8334 8.62949i −1.54854 0.641425i −0.565485 0.824758i \(-0.691311\pi\)
−0.983051 + 0.183334i \(0.941311\pi\)
\(182\) −0.203803 + 4.28964i −0.0151069 + 0.317969i
\(183\) −1.17790 2.62665i −0.0870726 0.194168i
\(184\) −7.94968 + 2.03221i −0.586058 + 0.149817i
\(185\) −0.241198 + 0.241198i −0.0177333 + 0.0177333i
\(186\) 5.69725 + 14.5129i 0.417743 + 1.06413i
\(187\) −3.76872 1.56105i −0.275596 0.114156i
\(188\) −15.0272 18.1907i −1.09597 1.32670i
\(189\) −13.3474 11.2156i −0.970882 0.815818i
\(190\) 2.00974 + 5.58843i 0.145802 + 0.405427i
\(191\) 23.0566 1.66832 0.834158 0.551525i \(-0.185954\pi\)
0.834158 + 0.551525i \(0.185954\pi\)
\(192\) −11.9596 + 6.99777i −0.863107 + 0.505021i
\(193\) 7.52832 0.541900 0.270950 0.962593i \(-0.412662\pi\)
0.270950 + 0.962593i \(0.412662\pi\)
\(194\) 4.14695 + 11.5313i 0.297734 + 0.827898i
\(195\) 1.81435 0.0523711i 0.129928 0.00375037i
\(196\) 5.42267 + 6.56426i 0.387333 + 0.468876i
\(197\) 2.14750 + 0.889524i 0.153003 + 0.0633760i 0.457871 0.889019i \(-0.348612\pi\)
−0.304868 + 0.952395i \(0.598612\pi\)
\(198\) −0.258665 25.2616i −0.0183825 1.79526i
\(199\) 7.46994 7.46994i 0.529530 0.529530i −0.390902 0.920432i \(-0.627837\pi\)
0.920432 + 0.390902i \(0.127837\pi\)
\(200\) 2.56342 + 10.0277i 0.181261 + 0.709065i
\(201\) −19.3939 + 8.69699i −1.36794 + 0.613439i
\(202\) 1.13993 23.9932i 0.0802053 1.68816i
\(203\) −16.1086 6.67240i −1.13060 0.468311i
\(204\) 1.56357 + 1.78522i 0.109472 + 0.124990i
\(205\) 2.04650 + 4.94068i 0.142934 + 0.345072i
\(206\) −9.76668 4.60004i −0.680477 0.320500i
\(207\) −5.78877 + 6.49872i −0.402348 + 0.451692i
\(208\) 3.54607 0.729165i 0.245876 0.0505585i
\(209\) −21.5960 −1.49382
\(210\) 6.85288 6.60234i 0.472894 0.455605i
\(211\) 15.9819 6.61994i 1.10024 0.455735i 0.242676 0.970107i \(-0.421975\pi\)
0.857567 + 0.514372i \(0.171975\pi\)
\(212\) −2.39477 7.80380i −0.164473 0.535967i
\(213\) 13.4365 14.2353i 0.920657 0.975386i
\(214\) −0.00123202 + 0.0259314i −8.42191e−5 + 0.00177264i
\(215\) 2.12453 2.12453i 0.144892 0.144892i
\(216\) −6.37350 + 13.2431i −0.433662 + 0.901076i
\(217\) −15.1008 15.1008i −1.02511 1.02511i
\(218\) 13.5167 12.2906i 0.915465 0.832422i
\(219\) −4.18179 3.94715i −0.282579 0.266723i
\(220\) 13.7270 + 1.30731i 0.925477 + 0.0881389i
\(221\) −0.237274 0.572831i −0.0159608 0.0385328i
\(222\) −0.0134341 + 0.721488i −0.000901641 + 0.0484231i
\(223\) 18.2244i 1.22040i 0.792248 + 0.610199i \(0.208910\pi\)
−0.792248 + 0.610199i \(0.791090\pi\)
\(224\) 11.1829 15.3353i 0.747191 1.02463i
\(225\) 8.19746 + 7.30193i 0.546497 + 0.486795i
\(226\) 5.02434 + 13.9710i 0.334214 + 0.929339i
\(227\) 10.8455 4.49234i 0.719840 0.298167i 0.00747022 0.999972i \(-0.497622\pi\)
0.712369 + 0.701805i \(0.247622\pi\)
\(228\) 11.2644 + 5.56400i 0.746004 + 0.368485i
\(229\) 5.20986 12.5777i 0.344277 0.831159i −0.652996 0.757362i \(-0.726488\pi\)
0.997273 0.0737978i \(-0.0235119\pi\)
\(230\) −3.19582 3.51463i −0.210726 0.231748i
\(231\) 14.1592 + 31.5743i 0.931606 + 2.07744i
\(232\) −2.08636 + 14.5497i −0.136976 + 0.955232i
\(233\) 11.7233 + 11.7233i 0.768016 + 0.768016i 0.977757 0.209741i \(-0.0672620\pi\)
−0.209741 + 0.977757i \(0.567262\pi\)
\(234\) 2.68725 2.74285i 0.175671 0.179306i
\(235\) 5.22743 12.6201i 0.341000 0.823247i
\(236\) −3.38558 11.0325i −0.220382 0.718157i
\(237\) 0.445297 + 15.4269i 0.0289252 + 1.00208i
\(238\) −2.94073 1.38506i −0.190619 0.0897803i
\(239\) 21.5949i 1.39685i −0.715681 0.698427i \(-0.753883\pi\)
0.715681 0.698427i \(-0.246117\pi\)
\(240\) −6.82319 4.21854i −0.440435 0.272306i
\(241\) 14.6095i 0.941078i 0.882379 + 0.470539i \(0.155941\pi\)
−0.882379 + 0.470539i \(0.844059\pi\)
\(242\) −14.7372 + 31.2897i −0.947345 + 2.01138i
\(243\) 2.24138 + 15.4265i 0.143785 + 0.989609i
\(244\) 1.55746 2.93655i 0.0997063 0.187993i
\(245\) −1.88636 + 4.55406i −0.120515 + 0.290949i
\(246\) 10.3697 + 4.52322i 0.661145 + 0.288390i
\(247\) −2.32108 2.32108i −0.147687 0.147687i
\(248\) −9.18060 + 15.4863i −0.582968 + 0.983381i
\(249\) 12.6752 5.68409i 0.803261 0.360215i
\(250\) −10.4909 + 9.53928i −0.663504 + 0.603317i
\(251\) 1.08581 2.62137i 0.0685355 0.165459i −0.885900 0.463876i \(-0.846458\pi\)
0.954436 + 0.298416i \(0.0964584\pi\)
\(252\) 0.749422 20.1171i 0.0472092 1.26726i
\(253\) 15.9593 6.61055i 1.00335 0.415602i
\(254\) −1.05559 + 0.379616i −0.0662334 + 0.0238192i
\(255\) −0.488923 + 1.28395i −0.0306175 + 0.0804041i
\(256\) −14.8598 5.93174i −0.928739 0.370734i
\(257\) 1.35436i 0.0844827i −0.999107 0.0422414i \(-0.986550\pi\)
0.999107 0.0422414i \(-0.0134498\pi\)
\(258\) 0.118331 6.35503i 0.00736697 0.395647i
\(259\) −0.378254 0.913186i −0.0235036 0.0567426i
\(260\) 1.33484 + 1.61586i 0.0827834 + 0.100211i
\(261\) 6.78695 + 14.0353i 0.420102 + 0.868760i
\(262\) 9.67262 + 10.6376i 0.597576 + 0.657191i
\(263\) −3.52372 3.52372i −0.217282 0.217282i 0.590070 0.807352i \(-0.299100\pi\)
−0.807352 + 0.590070i \(0.799100\pi\)
\(264\) 22.8318 18.1567i 1.40520 1.11747i
\(265\) 3.34167 3.34167i 0.205277 0.205277i
\(266\) −17.1896 0.816688i −1.05396 0.0500743i
\(267\) −3.55070 3.35147i −0.217299 0.205107i
\(268\) −21.6820 11.4995i −1.32444 0.702444i
\(269\) −16.4741 + 6.82380i −1.00444 + 0.416055i −0.823425 0.567425i \(-0.807940\pi\)
−0.181020 + 0.983479i \(0.557940\pi\)
\(270\) −8.50208 + 0.332568i −0.517420 + 0.0202394i
\(271\) −8.50293 −0.516516 −0.258258 0.966076i \(-0.583149\pi\)
−0.258258 + 0.966076i \(0.583149\pi\)
\(272\) −0.517252 + 2.69100i −0.0313630 + 0.163166i
\(273\) −1.87173 + 4.91532i −0.113282 + 0.297489i
\(274\) −2.52223 + 5.35513i −0.152374 + 0.323515i
\(275\) −8.33852 20.1310i −0.502832 1.21394i
\(276\) −10.0275 0.663711i −0.603584 0.0399507i
\(277\) 20.2028 + 8.36828i 1.21387 + 0.502801i 0.895456 0.445150i \(-0.146850\pi\)
0.318414 + 0.947952i \(0.396850\pi\)
\(278\) −7.05619 0.335244i −0.423202 0.0201066i
\(279\) 1.10144 + 19.0633i 0.0659416 + 1.14129i
\(280\) 10.8768 + 1.55968i 0.650012 + 0.0932089i
\(281\) −10.3342 + 10.3342i −0.616487 + 0.616487i −0.944629 0.328142i \(-0.893578\pi\)
0.328142 + 0.944629i \(0.393578\pi\)
\(282\) −10.5597 26.8993i −0.628823 1.60183i
\(283\) 8.67342 + 3.59265i 0.515581 + 0.213561i 0.625275 0.780405i \(-0.284987\pi\)
−0.109694 + 0.993965i \(0.534987\pi\)
\(284\) 22.5015 + 2.14296i 1.33522 + 0.127161i
\(285\) 0.209864 + 7.27052i 0.0124312 + 0.430668i
\(286\) −7.17186 + 2.57918i −0.424081 + 0.152510i
\(287\) −15.4962 −0.914714
\(288\) −16.5869 + 3.58810i −0.977393 + 0.211431i
\(289\) −16.5307 −0.972393
\(290\) −8.00741 + 2.87967i −0.470212 + 0.169100i
\(291\) 0.433037 + 15.0021i 0.0253851 + 0.879441i
\(292\) 0.629521 6.61010i 0.0368399 0.386827i
\(293\) 11.3816 + 4.71442i 0.664922 + 0.275420i 0.689508 0.724278i \(-0.257827\pi\)
−0.0245862 + 0.999698i \(0.507827\pi\)
\(294\) 3.81056 + 9.70680i 0.222236 + 0.566112i
\(295\) 4.72426 4.72426i 0.275057 0.275057i
\(296\) −0.666861 + 0.499597i −0.0387605 + 0.0290385i
\(297\) 9.32455 29.5021i 0.541065 1.71189i
\(298\) −20.4298 0.970634i −1.18347 0.0562273i
\(299\) 2.42575 + 1.00478i 0.140285 + 0.0581078i
\(300\) −0.837202 + 12.6486i −0.0483359 + 0.730269i
\(301\) 3.33175 + 8.04355i 0.192039 + 0.463623i
\(302\) −2.52303 + 5.35683i −0.145184 + 0.308251i
\(303\) 10.4692 27.4928i 0.601437 1.57942i
\(304\) 2.92194 + 14.2099i 0.167585 + 0.814996i
\(305\) 1.92438 0.110190
\(306\) 1.13970 + 2.67371i 0.0651522 + 0.152846i
\(307\) −12.6145 + 5.22511i −0.719950 + 0.298213i −0.712415 0.701759i \(-0.752399\pi\)
−0.00753514 + 0.999972i \(0.502399\pi\)
\(308\) −18.7218 + 35.2995i −1.06678 + 2.01137i
\(309\) −9.61527 9.07575i −0.546994 0.516302i
\(310\) −10.4108 0.494626i −0.591297 0.0280928i
\(311\) −18.8020 + 18.8020i −1.06617 + 1.06617i −0.0685162 + 0.997650i \(0.521826\pi\)
−0.997650 + 0.0685162i \(0.978174\pi\)
\(312\) 4.40533 + 0.502466i 0.249403 + 0.0284465i
\(313\) 4.30835 + 4.30835i 0.243522 + 0.243522i 0.818306 0.574783i \(-0.194914\pi\)
−0.574783 + 0.818306i \(0.694914\pi\)
\(314\) −16.6018 18.2581i −0.936896 1.03036i
\(315\) 10.4922 5.07368i 0.591171 0.285869i
\(316\) −13.7392 + 11.3498i −0.772889 + 0.638476i
\(317\) 0.543402 + 1.31189i 0.0305205 + 0.0736830i 0.938405 0.345538i \(-0.112303\pi\)
−0.907884 + 0.419221i \(0.862303\pi\)
\(318\) 0.186123 9.99583i 0.0104372 0.560538i
\(319\) 30.9439i 1.73252i
\(320\) −0.997073 9.20915i −0.0557381 0.514807i
\(321\) −0.0113149 + 0.0297138i −0.000631535 + 0.00165846i
\(322\) 12.9530 4.65823i 0.721842 0.259593i
\(323\) 2.29547 0.950815i 0.127723 0.0529047i
\(324\) −12.4646 + 12.9859i −0.692479 + 0.721438i
\(325\) 1.26742 3.05983i 0.0703040 0.169729i
\(326\) 12.6367 11.4904i 0.699881 0.636394i
\(327\) 20.4161 9.15540i 1.12901 0.506295i
\(328\) 3.23541 + 12.6564i 0.178646 + 0.698833i
\(329\) 27.9891 + 27.9891i 1.54309 + 1.54309i
\(330\) 15.4796 + 6.75219i 0.852126 + 0.371696i
\(331\) −5.18815 + 12.5253i −0.285167 + 0.688453i −0.999941 0.0109024i \(-0.996530\pi\)
0.714774 + 0.699356i \(0.246530\pi\)
\(332\) 14.1707 + 7.51573i 0.777717 + 0.412479i
\(333\) −0.290551 + 0.834667i −0.0159221 + 0.0457395i
\(334\) 1.09594 2.32688i 0.0599673 0.127321i
\(335\) 14.2087i 0.776303i
\(336\) 18.8599 13.5886i 1.02889 0.741320i
\(337\) 19.9878i 1.08881i −0.838824 0.544403i \(-0.816756\pi\)
0.838824 0.544403i \(-0.183244\pi\)
\(338\) 15.5843 + 7.34009i 0.847673 + 0.399248i
\(339\) 0.524657 + 18.1762i 0.0284955 + 0.987197i
\(340\) −1.51663 + 0.465411i −0.0822507 + 0.0252404i
\(341\) 14.5040 35.0157i 0.785435 1.89621i
\(342\) 10.9913 + 10.7685i 0.594340 + 0.582292i
\(343\) 6.50721 + 6.50721i 0.351357 + 0.351357i
\(344\) 5.87387 4.40056i 0.316698 0.237262i
\(345\) −2.38060 5.30863i −0.128167 0.285807i
\(346\) 0.0582833 + 0.0640977i 0.00313333 + 0.00344591i
\(347\) −5.84634 + 14.1143i −0.313848 + 0.757696i 0.685707 + 0.727877i \(0.259493\pi\)
−0.999555 + 0.0298187i \(0.990507\pi\)
\(348\) −7.97241 + 16.1403i −0.427366 + 0.865210i
\(349\) 7.90170 3.27299i 0.422969 0.175199i −0.161038 0.986948i \(-0.551484\pi\)
0.584007 + 0.811749i \(0.301484\pi\)
\(350\) −5.87587 16.3389i −0.314078 0.873348i
\(351\) 4.17299 2.16864i 0.222738 0.115753i
\(352\) 32.7394 + 7.92082i 1.74501 + 0.422181i
\(353\) 28.4566i 1.51459i −0.653072 0.757296i \(-0.726520\pi\)
0.653072 0.757296i \(-0.273480\pi\)
\(354\) 0.263129 14.1315i 0.0139852 0.751081i
\(355\) 5.00776 + 12.0898i 0.265784 + 0.641659i
\(356\) 0.534518 5.61255i 0.0283294 0.297465i
\(357\) −2.89514 2.73269i −0.153227 0.144629i
\(358\) −3.21161 + 2.92028i −0.169739 + 0.154342i
\(359\) −3.48589 3.48589i −0.183978 0.183978i 0.609109 0.793087i \(-0.291527\pi\)
−0.793087 + 0.609109i \(0.791527\pi\)
\(360\) −6.33452 7.51012i −0.333858 0.395818i
\(361\) −4.13391 + 4.13391i −0.217574 + 0.217574i
\(362\) 1.51343 31.8545i 0.0795439 1.67423i
\(363\) −29.0762 + 30.8046i −1.52610 + 1.61682i
\(364\) −5.80607 + 1.78172i −0.304321 + 0.0933875i
\(365\) 3.55152 1.47109i 0.185895 0.0770003i
\(366\) 2.93176 2.82458i 0.153246 0.147643i
\(367\) 7.37411 0.384925 0.192463 0.981304i \(-0.438353\pi\)
0.192463 + 0.981304i \(0.438353\pi\)
\(368\) −6.50898 9.60666i −0.339304 0.500782i
\(369\) 10.3464 + 9.21609i 0.538611 + 0.479771i
\(370\) −0.436413 0.205548i −0.0226881 0.0106859i
\(371\) 5.24050 + 12.6517i 0.272073 + 0.656843i
\(372\) −16.5867 + 14.5273i −0.859982 + 0.753207i
\(373\) −7.72861 3.20130i −0.400172 0.165757i 0.173515 0.984831i \(-0.444488\pi\)
−0.573687 + 0.819074i \(0.694488\pi\)
\(374\) 0.273775 5.76241i 0.0141566 0.297967i
\(375\) −15.8459 + 7.10593i −0.818277 + 0.366948i
\(376\) 17.0160 28.7035i 0.877536 1.48027i
\(377\) 3.32577 3.32577i 0.171286 0.171286i
\(378\) 8.53767 23.1300i 0.439131 1.18968i
\(379\) −22.6759 9.39268i −1.16478 0.482470i −0.285319 0.958433i \(-0.592100\pi\)
−0.879465 + 0.475963i \(0.842100\pi\)
\(380\) −6.47512 + 5.34903i −0.332166 + 0.274399i
\(381\) −1.37331 + 0.0396406i −0.0703569 + 0.00203085i
\(382\) 11.0344 + 30.6831i 0.564571 + 1.56989i
\(383\) −11.3729 −0.581129 −0.290565 0.956855i \(-0.593843\pi\)
−0.290565 + 0.956855i \(0.593843\pi\)
\(384\) −15.0361 12.5665i −0.767306 0.641281i
\(385\) −23.1325 −1.17894
\(386\) 3.60291 + 10.0185i 0.183383 + 0.509928i
\(387\) 2.55924 7.35194i 0.130094 0.373720i
\(388\) −13.3609 + 11.0373i −0.678297 + 0.560334i
\(389\) 11.2635 + 4.66550i 0.571083 + 0.236550i 0.649489 0.760371i \(-0.274983\pi\)
−0.0784059 + 0.996922i \(0.524983\pi\)
\(390\) 0.938005 + 2.38942i 0.0474977 + 0.120993i
\(391\) −1.40529 + 1.40529i −0.0710687 + 0.0710687i
\(392\) −6.14036 + 10.3579i −0.310135 + 0.523152i
\(393\) 7.20526 + 16.0674i 0.363457 + 0.810492i
\(394\) −0.156003 + 3.28355i −0.00785933 + 0.165423i
\(395\) −9.53179 3.94820i −0.479596 0.198655i
\(396\) 33.4937 12.4339i 1.68312 0.624829i
\(397\) 3.65241 + 8.81769i 0.183309 + 0.442547i 0.988645 0.150272i \(-0.0480149\pi\)
−0.805336 + 0.592819i \(0.798015\pi\)
\(398\) 13.5158 + 6.36583i 0.677484 + 0.319090i
\(399\) −19.6969 7.50048i −0.986076 0.375494i
\(400\) −12.1178 + 8.21040i −0.605890 + 0.410520i
\(401\) 5.46170 0.272744 0.136372 0.990658i \(-0.456456\pi\)
0.136372 + 0.990658i \(0.456456\pi\)
\(402\) −20.8553 21.6467i −1.04017 1.07964i
\(403\) 5.32225 2.20455i 0.265120 0.109816i
\(404\) 32.4751 9.96569i 1.61570 0.495811i
\(405\) −10.0228 2.85252i −0.498038 0.141743i
\(406\) 1.17020 24.6302i 0.0580758 1.22238i
\(407\) 1.24040 1.24040i 0.0614843 0.0614843i
\(408\) −1.62743 + 2.93513i −0.0805699 + 0.145310i
\(409\) −21.6474 21.6474i −1.07039 1.07039i −0.997327 0.0730670i \(-0.976721\pi\)
−0.0730670 0.997327i \(-0.523279\pi\)
\(410\) −5.59552 + 5.08794i −0.276343 + 0.251276i
\(411\) −4.97629 + 5.27211i −0.245462 + 0.260054i
\(412\) 1.44747 15.1987i 0.0713117 0.748788i
\(413\) 7.40871 + 17.8862i 0.364559 + 0.880123i
\(414\) −11.4187 4.59339i −0.561200 0.225753i
\(415\) 9.28636i 0.455849i
\(416\) 2.66743 + 4.37005i 0.130782 + 0.214260i
\(417\) −8.08541 3.07889i −0.395944 0.150774i
\(418\) −10.3354 28.7393i −0.505521 1.40569i
\(419\) 16.1057 6.67119i 0.786814 0.325909i 0.0471519 0.998888i \(-0.484986\pi\)
0.739662 + 0.672979i \(0.234986\pi\)
\(420\) 12.0659 + 5.95988i 0.588755 + 0.290812i
\(421\) 11.0865 26.7651i 0.540321 1.30445i −0.384176 0.923260i \(-0.625514\pi\)
0.924497 0.381190i \(-0.124486\pi\)
\(422\) 16.4583 + 18.1002i 0.801177 + 0.881104i
\(423\) −2.04150 35.3334i −0.0992612 1.71797i
\(424\) 9.23900 6.92164i 0.448686 0.336144i
\(425\) 1.77263 + 1.77263i 0.0859852 + 0.0859852i
\(426\) 25.3744 + 11.0683i 1.22939 + 0.536259i
\(427\) −2.13396 + 5.15183i −0.103270 + 0.249315i
\(428\) −0.0350985 + 0.0107708i −0.00169655 + 0.000520624i
\(429\) −9.33055 + 0.269326i −0.450483 + 0.0130032i
\(430\) 3.84403 + 1.81051i 0.185376 + 0.0873106i
\(431\) 20.4774i 0.986361i 0.869927 + 0.493180i \(0.164166\pi\)
−0.869927 + 0.493180i \(0.835834\pi\)
\(432\) −20.6738 2.14382i −0.994666 0.103145i
\(433\) 14.6756i 0.705262i −0.935762 0.352631i \(-0.885287\pi\)
0.935762 0.352631i \(-0.114713\pi\)
\(434\) 12.8688 27.3227i 0.617723 1.31153i
\(435\) −10.4176 + 0.300704i −0.499486 + 0.0144177i
\(436\) 22.8248 + 12.1056i 1.09311 + 0.579754i
\(437\) −4.02639 + 9.72056i −0.192608 + 0.464997i
\(438\) 3.25144 7.45405i 0.155360 0.356168i
\(439\) 4.86825 + 4.86825i 0.232349 + 0.232349i 0.813672 0.581324i \(-0.197465\pi\)
−0.581324 + 0.813672i \(0.697465\pi\)
\(440\) 4.82976 + 18.8933i 0.230250 + 0.900701i
\(441\) 0.736690 + 12.7503i 0.0350805 + 0.607158i
\(442\) 0.648754 0.589904i 0.0308581 0.0280589i
\(443\) −6.00738 + 14.5031i −0.285419 + 0.689063i −0.999944 0.0105468i \(-0.996643\pi\)
0.714525 + 0.699610i \(0.246643\pi\)
\(444\) −0.966567 + 0.327412i −0.0458713 + 0.0155383i
\(445\) 3.01555 1.24908i 0.142951 0.0592122i
\(446\) −24.2526 + 8.72186i −1.14839 + 0.412992i
\(447\) −23.4097 8.91432i −1.10724 0.421633i
\(448\) 25.7598 + 7.54278i 1.21704 + 0.356363i
\(449\) 1.76611i 0.0833480i −0.999131 0.0416740i \(-0.986731\pi\)
0.999131 0.0416740i \(-0.0132691\pi\)
\(450\) −5.79408 + 14.4035i −0.273135 + 0.678989i
\(451\) −10.5244 25.4082i −0.495576 1.19643i
\(452\) −16.1877 + 13.3725i −0.761407 + 0.628991i
\(453\) −4.97787 + 5.27378i −0.233881 + 0.247784i
\(454\) 11.1687 + 12.2829i 0.524175 + 0.576467i
\(455\) −2.48622 2.48622i −0.116556 0.116556i
\(456\) −2.01350 + 17.6532i −0.0942908 + 0.826688i
\(457\) −22.3579 + 22.3579i −1.04586 + 1.04586i −0.0469601 + 0.998897i \(0.514953\pi\)
−0.998897 + 0.0469601i \(0.985047\pi\)
\(458\) 19.2315 + 0.913698i 0.898627 + 0.0426943i
\(459\) 0.307782 + 3.54637i 0.0143660 + 0.165530i
\(460\) 3.14773 5.93495i 0.146764 0.276718i
\(461\) 0.811938 0.336316i 0.0378157 0.0156638i −0.363695 0.931518i \(-0.618485\pi\)
0.401511 + 0.915854i \(0.368485\pi\)
\(462\) −35.2420 + 33.9535i −1.63960 + 1.57966i
\(463\) 14.0009 0.650678 0.325339 0.945597i \(-0.394522\pi\)
0.325339 + 0.945597i \(0.394522\pi\)
\(464\) −20.3608 + 4.18671i −0.945226 + 0.194363i
\(465\) −11.9294 4.54265i −0.553211 0.210661i
\(466\) −9.99049 + 21.2115i −0.462800 + 0.982606i
\(467\) 5.94695 + 14.3572i 0.275192 + 0.664373i 0.999690 0.0249045i \(-0.00792818\pi\)
−0.724498 + 0.689277i \(0.757928\pi\)
\(468\) 4.93619 + 2.26345i 0.228175 + 0.104628i
\(469\) 38.0385 + 15.7561i 1.75646 + 0.727548i
\(470\) 19.2963 + 0.916779i 0.890072 + 0.0422878i
\(471\) −12.3669 27.5776i −0.569838 1.27071i
\(472\) 13.0616 9.78540i 0.601207 0.450410i
\(473\) −10.9257 + 10.9257i −0.502365 + 0.502365i
\(474\) −20.3166 + 7.97560i −0.933173 + 0.366332i
\(475\) 12.2615 + 5.07887i 0.562595 + 0.233034i
\(476\) 0.435830 4.57631i 0.0199763 0.209755i
\(477\) 4.02543 11.5639i 0.184312 0.529473i
\(478\) 28.7379 10.3349i 1.31444 0.472706i
\(479\) 34.4708 1.57501 0.787505 0.616309i \(-0.211373\pi\)
0.787505 + 0.616309i \(0.211373\pi\)
\(480\) 2.34848 11.0990i 0.107193 0.506599i
\(481\) 0.266630 0.0121573
\(482\) −19.4419 + 6.99181i −0.885554 + 0.318468i
\(483\) 16.8518 0.486427i 0.766782 0.0221332i
\(484\) −48.6925 4.63729i −2.21329 0.210786i
\(485\) −9.26935 3.83949i −0.420899 0.174342i
\(486\) −19.4565 + 10.3656i −0.882564 + 0.470193i
\(487\) −13.6710 + 13.6710i −0.619490 + 0.619490i −0.945401 0.325911i \(-0.894329\pi\)
0.325911 + 0.945401i \(0.394329\pi\)
\(488\) 4.65325 + 0.667256i 0.210643 + 0.0302052i
\(489\) 19.0869 8.55934i 0.863140 0.387067i
\(490\) −6.96321 0.330826i −0.314566 0.0149452i
\(491\) −16.0034 6.62882i −0.722223 0.299154i −0.00887095 0.999961i \(-0.502824\pi\)
−0.713352 + 0.700806i \(0.752824\pi\)
\(492\) −1.05667 + 15.9644i −0.0476384 + 0.719731i
\(493\) 1.36238 + 3.28908i 0.0613585 + 0.148133i
\(494\) 1.97801 4.19966i 0.0889948 0.188951i
\(495\) 15.4449 + 13.7576i 0.694196 + 0.618359i
\(496\) −25.0024 4.80586i −1.12264 0.215789i
\(497\) −37.9191 −1.70090
\(498\) 13.6304 + 14.1476i 0.610791 + 0.633969i
\(499\) −6.36166 + 2.63509i −0.284787 + 0.117963i −0.520504 0.853859i \(-0.674256\pi\)
0.235717 + 0.971822i \(0.424256\pi\)
\(500\) −17.7154 9.39574i −0.792256 0.420190i
\(501\) 2.16227 2.29080i 0.0966029 0.102346i
\(502\) 4.00810 + 0.190427i 0.178890 + 0.00849918i
\(503\) 16.8510 16.8510i 0.751350 0.751350i −0.223381 0.974731i \(-0.571709\pi\)
0.974731 + 0.223381i \(0.0717095\pi\)
\(504\) 27.1300 8.63034i 1.20846 0.384426i
\(505\) 13.9062 + 13.9062i 0.618817 + 0.618817i
\(506\) 16.4350 + 18.0745i 0.730623 + 0.803511i
\(507\) 15.3427 + 14.4818i 0.681392 + 0.643159i
\(508\) −1.01037 1.22307i −0.0448277 0.0542650i
\(509\) −6.71610 16.2141i −0.297686 0.718678i −0.999977 0.00678764i \(-0.997839\pi\)
0.702291 0.711890i \(1.74784\pi\)
\(510\) −1.94264 0.0361720i −0.0860215 0.00160172i
\(511\) 11.1392i 0.492769i
\(512\) 0.782187 22.6139i 0.0345681 0.999402i
\(513\) 8.69024 + 16.7222i 0.383684 + 0.738302i
\(514\) 1.80235 0.648171i 0.0794982 0.0285896i
\(515\) 8.16609 3.38250i 0.359841 0.149051i
\(516\) 8.51375 2.88392i 0.374797 0.126958i
\(517\) −26.8828 + 64.9009i −1.18231 + 2.85434i
\(518\) 1.03422 0.940404i 0.0454410 0.0413190i
\(519\) 0.0434160 + 0.0968155i 0.00190575 + 0.00424973i
\(520\) −1.51151 + 2.54969i −0.0662841 + 0.111811i
\(521\) −18.2126 18.2126i −0.797908 0.797908i 0.184858 0.982765i \(-0.440818\pi\)
−0.982765 + 0.184858i \(0.940818\pi\)
\(522\) −15.4297 + 15.7489i −0.675337 + 0.689311i
\(523\) −0.472480 + 1.14067i −0.0206601 + 0.0498779i −0.933873 0.357605i \(-0.883593\pi\)
0.913213 + 0.407483i \(0.133593\pi\)
\(524\) −9.52708 + 17.9630i −0.416192 + 0.784718i
\(525\) −0.613576 21.2567i −0.0267787 0.927721i
\(526\) 3.00289 6.37565i 0.130932 0.277992i
\(527\) 4.36045i 0.189944i
\(528\) 35.0893 + 21.6945i 1.52706 + 0.944131i
\(529\) 14.5841i 0.634090i
\(530\) 6.04627 + 2.84775i 0.262633 + 0.123698i
\(531\) 5.69091 16.3483i 0.246965 0.709455i
\(532\) −7.13978 23.2663i −0.309549 1.00872i
\(533\) 1.59967 3.86195i 0.0692895 0.167280i
\(534\) 2.76075 6.32913i 0.119470 0.273888i
\(535\) −0.0150296 0.0150296i −0.000649785 0.000649785i
\(536\) 4.92668 34.3573i 0.212800 1.48401i
\(537\) −4.85094 + 2.17536i −0.209333 + 0.0938735i
\(538\) −16.9651 18.6576i −0.731419 0.804386i
\(539\) 9.70087 23.4200i 0.417846 1.00877i
\(540\) −4.51150 11.1552i −0.194144 0.480043i
\(541\) 14.2297 5.89412i 0.611781 0.253408i −0.0552087 0.998475i \(-0.517582\pi\)
0.666990 + 0.745067i \(0.267582\pi\)
\(542\) −4.06934 11.3155i −0.174793 0.486042i
\(543\) 13.8993 36.5008i 0.596478 1.56640i
\(544\) −3.82865 + 0.599513i −0.164152 + 0.0257039i
\(545\) 14.9576i 0.640713i
\(546\) −7.43696 0.138477i −0.318272 0.00592625i
\(547\) −6.24323 15.0725i −0.266941 0.644453i 0.732395 0.680880i \(-0.238402\pi\)
−0.999336 + 0.0364266i \(0.988402\pi\)
\(548\) −8.33356 0.793657i −0.355992 0.0339033i
\(549\) 4.48874 2.17059i 0.191575 0.0926387i
\(550\) 22.7991 20.7310i 0.972158 0.883972i
\(551\) 13.3272 + 13.3272i 0.567756 + 0.567756i
\(552\) −3.91571 13.6620i −0.166664 0.581492i
\(553\) 21.1397 21.1397i 0.898952 0.898952i
\(554\) −1.46762 + 30.8903i −0.0623531 + 1.31240i
\(555\) −0.429648 0.405540i −0.0182375 0.0172142i
\(556\) −2.93082 9.55064i −0.124295 0.405038i
\(557\) 7.09223 2.93770i 0.300507 0.124474i −0.227335 0.973817i \(-0.573001\pi\)
0.527842 + 0.849342i \(0.323001\pi\)
\(558\) −24.8418 + 10.5891i −1.05164 + 0.448272i
\(559\) −2.34854 −0.0993325
\(560\) 3.12983 + 15.2210i 0.132260 + 0.643204i
\(561\) 2.51436 6.60291i 0.106156 0.278775i
\(562\) −18.6982 8.80674i −0.788738 0.371490i
\(563\) 0.517007 + 1.24817i 0.0217892 + 0.0526039i 0.934400 0.356226i \(-0.115937\pi\)
−0.912610 + 0.408830i \(0.865937\pi\)
\(564\) 30.7432 26.9261i 1.29452 1.13379i
\(565\) −11.2305 4.65183i −0.472471 0.195704i
\(566\) −0.630073 + 13.2617i −0.0264839 + 0.557432i
\(567\) 18.7509 23.6693i 0.787465 0.994016i
\(568\) 7.91701 + 30.9701i 0.332190 + 1.29948i
\(569\) 4.40004 4.40004i 0.184459 0.184459i −0.608836 0.793296i \(-0.708363\pi\)
0.793296 + 0.608836i \(0.208363\pi\)
\(570\) −9.57498 + 3.75881i −0.401052 + 0.157439i
\(571\) 23.9135 + 9.90528i 1.00075 + 0.414523i 0.822071 0.569385i \(-0.192819\pi\)
0.178676 + 0.983908i \(0.442819\pi\)
\(572\) −6.86463 8.30978i −0.287024 0.347449i
\(573\) 1.15225 + 39.9186i 0.0481359 + 1.66762i
\(574\) −7.41620 20.6220i −0.309546 0.860745i
\(575\) −10.6158 −0.442709
\(576\) −12.7131 20.3562i −0.529714 0.848177i
\(577\) −7.45244 −0.310249 −0.155124 0.987895i \(-0.549578\pi\)
−0.155124 + 0.987895i \(0.549578\pi\)
\(578\) −7.91127 21.9986i −0.329065 0.915022i
\(579\) 0.376226 + 13.0340i 0.0156354 + 0.541675i
\(580\) −7.66439 9.27791i −0.318246 0.385244i
\(581\) −24.8608 10.2977i −1.03140 0.427220i
\(582\) −19.7572 + 7.75601i −0.818963 + 0.321497i
\(583\) −17.1850 + 17.1850i −0.711732 + 0.711732i
\(584\) 9.09783 2.32572i 0.376471 0.0962389i
\(585\) 0.181343 + 3.13861i 0.00749762 + 0.129766i
\(586\) −0.826808 + 17.4026i −0.0341551 + 0.718895i
\(587\) 39.1257 + 16.2064i 1.61489 + 0.668910i 0.993420 0.114526i \(-0.0365349\pi\)
0.621472 + 0.783436i \(0.286535\pi\)
\(588\) −11.0939 + 9.71647i −0.457505 + 0.400701i
\(589\) 8.83416 + 21.3275i 0.364005 + 0.878786i
\(590\) 8.54786 + 4.02598i 0.351910 + 0.165747i
\(591\) −1.43274 + 3.76249i −0.0589350 + 0.154768i
\(592\) −0.983997 0.648345i −0.0404420 0.0266468i
\(593\) 42.7694 1.75633 0.878164 0.478359i \(-0.158768\pi\)
0.878164 + 0.478359i \(0.158768\pi\)
\(594\) 43.7232 1.71028i 1.79399 0.0701736i
\(595\) 2.45879 1.01847i 0.100801 0.0417530i
\(596\) −8.48563 27.6520i −0.347585 1.13267i
\(597\) 13.3062 + 12.5596i 0.544588 + 0.514031i
\(598\) −0.176216 + 3.70899i −0.00720603 + 0.151672i
\(599\) −21.3145 + 21.3145i −0.870885 + 0.870885i −0.992569 0.121684i \(-0.961171\pi\)
0.121684 + 0.992569i \(0.461171\pi\)
\(600\) −17.2331 + 4.93926i −0.703540 + 0.201644i
\(601\) −4.26621 4.26621i −0.174022 0.174022i 0.614722 0.788744i \(-0.289268\pi\)
−0.788744 + 0.614722i \(0.789268\pi\)
\(602\) −9.10964 + 8.28329i −0.371281 + 0.337602i
\(603\) −16.0266 33.1426i −0.652652 1.34967i
\(604\) −8.33620 0.793908i −0.339195 0.0323036i
\(605\) −10.8366 26.1618i −0.440570 1.06363i
\(606\) 41.5971 + 0.774540i 1.68977 + 0.0314635i
\(607\) 30.5562i 1.24024i 0.784508 + 0.620118i \(0.212915\pi\)
−0.784508 + 0.620118i \(0.787085\pi\)
\(608\) −17.5118 + 10.6890i −0.710199 + 0.433498i
\(609\) 10.7471 28.2228i 0.435495 1.14364i
\(610\) 0.920973 + 2.56092i 0.0372891 + 0.103689i
\(611\) −9.86469 + 4.08609i −0.399083 + 0.165305i
\(612\) −3.01267 + 2.79627i −0.121780 + 0.113032i
\(613\) 13.4587 32.4921i 0.543590 1.31234i −0.378584 0.925567i \(-0.623589\pi\)
0.922174 0.386775i \(-0.126411\pi\)
\(614\) −12.9905 14.2865i −0.524255 0.576555i
\(615\) −8.45168 + 3.79007i −0.340804 + 0.152830i
\(616\) −55.9355 8.02091i −2.25371 0.323172i
\(617\) −32.1395 32.1395i −1.29389 1.29389i −0.932363 0.361524i \(-0.882257\pi\)
−0.361524 0.932363i \(1.38226\pi\)
\(618\) 7.47610 17.1392i 0.300733 0.689441i
\(619\) 14.9456 36.0820i 0.600716 1.45026i −0.272129 0.962261i \(-0.587728\pi\)
0.872846 0.487996i \(-0.162272\pi\)
\(620\) −4.32420 14.0912i −0.173664 0.565917i
\(621\) −11.5407 9.69750i −0.463113 0.389147i
\(622\) −34.0196 16.0230i −1.36406 0.642463i
\(623\) 9.45815i 0.378933i
\(624\) 1.43964 + 6.10298i 0.0576317 + 0.244315i
\(625\) 6.68739i 0.267496i
\(626\) −3.67155 + 7.79533i −0.146745 + 0.311564i
\(627\) −1.07925 37.3897i −0.0431013 1.49320i
\(628\) 16.3520 30.8313i 0.652517 1.23030i
\(629\) −0.0772324 + 0.186456i −0.00307946 + 0.00743447i
\(630\) 11.7733 + 11.5346i 0.469060 + 0.459551i
\(631\) 20.5960 + 20.5960i 0.819912 + 0.819912i 0.986095 0.166183i \(-0.0531442\pi\)
−0.166183 + 0.986095i \(0.553144\pi\)
\(632\) −21.6793 12.8520i −0.862358 0.511223i
\(633\) 12.2600 + 27.3392i 0.487291 + 1.08664i
\(634\) −1.48577 + 1.35099i −0.0590073 + 0.0536547i
\(635\) 0.351471 0.848526i 0.0139477 0.0336727i
\(636\) 13.3913 4.53612i 0.530998 0.179869i
\(637\) 3.55974 1.47449i 0.141042 0.0584216i
\(638\) 41.1793 14.8091i 1.63031 0.586300i
\(639\) 25.3175 + 22.5517i 1.00154 + 0.892130i
\(640\) 11.7781 5.73420i 0.465571 0.226664i
\(641\) 12.6916i 0.501289i −0.968079 0.250645i \(-0.919357\pi\)
0.968079 0.250645i \(-0.0806426\pi\)
\(642\) −0.0449575 0.000837110i −0.00177433 3.30381e-5i
\(643\) 0.974363 + 2.35232i 0.0384251 + 0.0927665i 0.941927 0.335818i \(-0.109013\pi\)
−0.903502 + 0.428584i \(0.859013\pi\)
\(644\) 12.3981 + 15.0082i 0.488554 + 0.591405i
\(645\) 3.78444 + 3.57209i 0.149012 + 0.140651i
\(646\) 2.36389 + 2.59971i 0.0930059 + 0.102284i
\(647\) 22.3823 + 22.3823i 0.879941 + 0.879941i 0.993528 0.113587i \(-0.0362341\pi\)
−0.113587 + 0.993528i \(0.536234\pi\)
\(648\) −23.2466 10.3728i −0.913213 0.407483i
\(649\) −24.2952 + 24.2952i −0.953670 + 0.953670i
\(650\) 4.67851 + 0.222279i 0.183506 + 0.00871849i
\(651\) 25.3898 26.8992i 0.995106 1.05426i
\(652\) 21.3388 + 11.3175i 0.835692 + 0.443227i
\(653\) −2.02663 + 0.839459i −0.0793083 + 0.0328506i −0.421985 0.906603i \(-0.638666\pi\)
0.342677 + 0.939453i \(0.388666\pi\)
\(654\) 21.9545 + 22.7876i 0.858489 + 0.891066i
\(655\) −11.7716 −0.459953
\(656\) −15.2944 + 10.3627i −0.597146 + 0.404596i
\(657\) 6.62483 7.43731i 0.258459 0.290157i
\(658\) −23.8521 + 50.6422i −0.929852 + 1.97424i
\(659\) 4.65284 + 11.2330i 0.181249 + 0.437574i 0.988224 0.153011i \(-0.0488971\pi\)
−0.806975 + 0.590585i \(0.798897\pi\)
\(660\) −1.57738 + 23.8314i −0.0613994 + 0.927635i
\(661\) −22.0472 9.13226i −0.857538 0.355204i −0.0897938 0.995960i \(-0.528621\pi\)
−0.767744 + 0.640757i \(0.778621\pi\)
\(662\) −19.1513 0.909890i −0.744337 0.0353639i
\(663\) 0.979901 0.439427i 0.0380562 0.0170659i
\(664\) −3.21993 + 22.4549i −0.124957 + 0.871417i
\(665\) 9.96289 9.96289i 0.386344 0.386344i
\(666\) −1.24981 + 0.0127973i −0.0484290 + 0.000495886i
\(667\) −13.9282 5.76923i −0.539300 0.223386i
\(668\) 3.62105 + 0.344855i 0.140102 + 0.0133428i
\(669\) −31.5525 + 0.910763i −1.21989 + 0.0352121i
\(670\) 18.9085 6.80000i 0.730501 0.262707i
\(671\) −9.89643 −0.382048
\(672\) 27.1094 + 18.5950i 1.04577 + 0.717317i
\(673\) 1.77155 0.0682883 0.0341441 0.999417i \(-0.489129\pi\)
0.0341441 + 0.999417i \(0.489129\pi\)
\(674\) 26.5993 9.56579i 1.02457 0.368461i
\(675\) −12.2324 + 14.5574i −0.470825 + 0.560315i
\(676\) −2.30967 + 24.2520i −0.0888333 + 0.932768i
\(677\) −31.1005 12.8822i −1.19529 0.495105i −0.305815 0.952091i \(-0.598929\pi\)
−0.889474 + 0.456986i \(0.848929\pi\)
\(678\) −23.9374 + 9.39699i −0.919309 + 0.360889i
\(679\) 20.5577 20.5577i 0.788930 0.788930i
\(680\) −1.34519 1.79555i −0.0515855 0.0688563i
\(681\) 8.31973 + 18.5526i 0.318813 + 0.710937i
\(682\) 53.5394 + 2.54369i 2.05013 + 0.0974028i
\(683\) −2.51740 1.04274i −0.0963256 0.0398994i 0.334000 0.942573i \(-0.391601\pi\)
−0.430326 + 0.902674i \(0.641601\pi\)
\(684\) −9.07018 + 19.7805i −0.346807 + 0.756326i
\(685\) −1.85465 4.47752i −0.0708624 0.171077i
\(686\) −5.54541 + 11.7739i −0.211725 + 0.449528i
\(687\) 22.0365 + 8.39142i 0.840747 + 0.320153i
\(688\) 8.66727 + 5.71077i 0.330437 + 0.217721i
\(689\) −3.69401 −0.140731
\(690\) 5.92528 5.70865i 0.225571 0.217325i
\(691\) 36.0335 14.9256i 1.37078 0.567795i 0.428779 0.903409i \(-0.358944\pi\)
0.942000 + 0.335614i \(0.108944\pi\)
\(692\) −0.0574063 + 0.108238i −0.00218226 + 0.00411459i
\(693\) −53.9579 + 26.0921i −2.04969 + 0.991158i
\(694\) −21.5809 1.02532i −0.819200 0.0389207i
\(695\) 4.08969 4.08969i 0.155131 0.155131i
\(696\) −25.2945 2.88505i −0.958786 0.109358i
\(697\) 2.23732 + 2.23732i 0.0847444 + 0.0847444i
\(698\) 8.13722 + 8.94899i 0.307998 + 0.338724i
\(699\) −19.7110 + 20.8827i −0.745537 + 0.789856i
\(700\) 18.9312 15.6389i 0.715534 0.591095i
\(701\) 1.39440 + 3.36638i 0.0526658 + 0.127147i 0.948023 0.318203i \(-0.103079\pi\)
−0.895357 + 0.445350i \(0.853079\pi\)
\(702\) 4.88308 + 4.51545i 0.184300 + 0.170425i
\(703\) 1.06845i 0.0402973i
\(704\) 5.12760 + 47.3595i 0.193254 + 1.78493i
\(705\) 22.1109 + 8.41972i 0.832743 + 0.317105i
\(706\) 37.8693 13.6188i 1.42523 0.512550i
\(707\) −52.6494 + 21.8081i −1.98008 + 0.820177i
\(708\) 18.9318 6.41290i 0.711500 0.241012i
\(709\) 9.10175 21.9736i 0.341824 0.825235i −0.655708 0.755015i \(-0.727630\pi\)
0.997531 0.0702205i \(-0.0223703\pi\)
\(710\) −13.6922 + 12.4501i −0.513858 + 0.467245i
\(711\) −26.6868 + 1.54191i −1.00083 + 0.0578263i
\(712\) 7.72485 1.97474i 0.289501 0.0740064i
\(713\) −13.0568 13.0568i −0.488980 0.488980i
\(714\) 2.25104 5.16059i 0.0842430 0.193130i
\(715\) 2.38796 5.76505i 0.0893047 0.215601i
\(716\) −5.42325 2.87634i −0.202677 0.107494i
\(717\) 37.3878 1.07920i 1.39627 0.0403034i
\(718\) 2.97065 6.30721i 0.110864 0.235383i
\(719\) 19.5450i 0.728907i −0.931222 0.364453i \(-0.881256\pi\)
0.931222 0.364453i \(-0.118744\pi\)
\(720\) 6.96270 12.0240i 0.259484 0.448108i
\(721\) 25.6126i 0.953863i
\(722\) −7.47971 3.52289i −0.278366 0.131109i
\(723\) −25.2938 + 0.730106i −0.940686 + 0.0271529i
\(724\) 43.1154 13.2309i 1.60237 0.491723i
\(725\) −7.27728 + 17.5689i −0.270271 + 0.652493i
\(726\) −54.9093 23.9513i −2.03787 0.888917i
\(727\) −20.8914 20.8914i −0.774821 0.774821i 0.204124 0.978945i \(-0.434565\pi\)
−0.978945 + 0.204124i \(0.934565\pi\)
\(728\) −5.14974 6.87388i −0.190862 0.254763i
\(729\) −26.5963 + 4.65151i −0.985048 + 0.172278i
\(730\) 3.65738 + 4.02224i 0.135366 + 0.148870i
\(731\) 0.680281 1.64234i 0.0251611 0.0607443i
\(732\) 5.16196 + 2.54973i 0.190792 + 0.0942406i
\(733\) −9.09957 + 3.76916i −0.336100 + 0.139217i −0.544350 0.838859i \(-0.683223\pi\)
0.208249 + 0.978076i \(0.433223\pi\)
\(734\) 3.52911 + 9.81328i 0.130262 + 0.362215i
\(735\) −7.97886 3.03831i −0.294305 0.112070i
\(736\) 9.66922 13.2595i 0.356412 0.488753i
\(737\) 73.0703i 2.69158i
\(738\) −7.31297 + 18.1793i −0.269194 + 0.669191i
\(739\) 8.03797 + 19.4054i 0.295682 + 0.713839i 0.999992 + 0.00394665i \(0.00125626\pi\)
−0.704311 + 0.709892i \(0.748744\pi\)
\(740\) 0.0646786 0.679139i 0.00237763 0.0249656i
\(741\) 3.90256 4.13455i 0.143364 0.151886i
\(742\) −14.3286 + 13.0288i −0.526018 + 0.478302i
\(743\) −14.8827 14.8827i −0.545995 0.545995i 0.379285 0.925280i \(-0.376170\pi\)
−0.925280 + 0.379285i \(0.876170\pi\)
\(744\) −27.2707 15.1207i −0.999792 0.554352i
\(745\) 11.8409 11.8409i 0.433817 0.433817i
\(746\) 0.561438 11.8171i 0.0205557 0.432655i
\(747\) 10.4745 + 21.6610i 0.383241 + 0.792533i
\(748\) 7.79949 2.39344i 0.285177 0.0875130i
\(749\) 0.0569026 0.0235698i 0.00207917 0.000861222i
\(750\) −17.0399 17.6865i −0.622210 0.645820i
\(751\) −47.9945 −1.75135 −0.875673 0.482905i \(-0.839582\pi\)
−0.875673 + 0.482905i \(0.839582\pi\)
\(752\) 46.3415 + 8.90756i 1.68990 + 0.324825i
\(753\) 4.59272 + 1.74889i 0.167368 + 0.0637330i
\(754\) 6.01750 + 2.83420i 0.219144 + 0.103216i
\(755\) −1.85523 4.47893i −0.0675189 0.163005i
\(756\) 34.8668 + 0.292149i 1.26809 + 0.0106253i
\(757\) −4.61422 1.91127i −0.167707 0.0694663i 0.297251 0.954799i \(-0.403930\pi\)
−0.464957 + 0.885333i \(0.653930\pi\)
\(758\) 1.64727 34.6717i 0.0598317 1.25933i
\(759\) 12.2426 + 27.3004i 0.444379 + 0.990943i
\(760\) −10.2172 6.05698i −0.370617 0.219710i