Properties

Label 114.2.l.b.53.3
Level $114$
Weight $2$
Character 114.53
Analytic conductor $0.910$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 114 = 2 \cdot 3 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 114.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.910294583043\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{18})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
Defining polynomial: \(x^{18} - x^{15} - 18 x^{14} + 36 x^{13} + 10 x^{12} + 18 x^{11} + 90 x^{10} - 567 x^{9} + 270 x^{8} + 162 x^{7} + 270 x^{6} + 2916 x^{5} - 4374 x^{4} - 729 x^{3} + 19683\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 53.3
Root \(1.69944 + 0.334495i\) of defining polynomial
Character \(\chi\) \(=\) 114.53
Dual form 114.2.l.b.71.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.08684 + 1.34862i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.343148 + 0.408948i) q^{5} +(-0.560041 - 1.63901i) q^{6} +(-0.716507 + 1.24103i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.637553 + 2.93147i) q^{9} +O(q^{10})\) \(q+(-0.939693 - 0.342020i) q^{2} +(1.08684 + 1.34862i) q^{3} +(0.766044 + 0.642788i) q^{4} +(0.343148 + 0.408948i) q^{5} +(-0.560041 - 1.63901i) q^{6} +(-0.716507 + 1.24103i) q^{7} +(-0.500000 - 0.866025i) q^{8} +(-0.637553 + 2.93147i) q^{9} +(-0.182585 - 0.501649i) q^{10} +(1.25645 - 0.725411i) q^{11} +(-0.0343077 + 1.73171i) q^{12} +(2.94737 + 0.519701i) q^{13} +(1.09775 - 0.921124i) q^{14} +(-0.178568 + 0.907238i) q^{15} +(0.173648 + 0.984808i) q^{16} +(1.89590 - 5.20894i) q^{17} +(1.60173 - 2.53663i) q^{18} +(-4.35653 - 0.143752i) q^{19} +0.533844i q^{20} +(-2.45240 + 0.382503i) q^{21} +(-1.42878 + 0.251933i) q^{22} +(0.396438 - 0.472456i) q^{23} +(0.624519 - 1.61554i) q^{24} +(0.818753 - 4.64338i) q^{25} +(-2.59188 - 1.49642i) q^{26} +(-4.64636 + 2.32623i) q^{27} +(-1.34659 + 0.490120i) q^{28} +(-4.97822 + 1.81193i) q^{29} +(0.478093 - 0.791451i) q^{30} +(-4.28601 - 2.47453i) q^{31} +(0.173648 - 0.984808i) q^{32} +(2.34386 + 0.906066i) q^{33} +(-3.56312 + 4.24636i) q^{34} +(-0.753384 + 0.132842i) q^{35} +(-2.37271 + 1.83583i) q^{36} -6.41883i q^{37} +(4.04463 + 1.62510i) q^{38} +(2.50245 + 4.53972i) q^{39} +(0.182585 - 0.501649i) q^{40} +(-1.37347 - 7.78933i) q^{41} +(2.43533 + 0.479336i) q^{42} +(4.88757 - 4.10116i) q^{43} +(1.42878 + 0.251933i) q^{44} +(-1.41759 + 0.745203i) q^{45} +(-0.534119 + 0.308374i) q^{46} +(4.37381 + 12.0169i) q^{47} +(-1.13940 + 1.30452i) q^{48} +(2.47323 + 4.28377i) q^{49} +(-2.35751 + 4.08332i) q^{50} +(9.08542 - 3.10444i) q^{51} +(1.92376 + 2.29265i) q^{52} +(-1.41439 - 1.18682i) q^{53} +(5.16177 - 0.596790i) q^{54} +(0.727804 + 0.264899i) q^{55} +1.43301 q^{56} +(-4.54099 - 6.03154i) q^{57} +5.29771 q^{58} +(-1.75650 - 0.639313i) q^{59} +(-0.719953 + 0.580203i) q^{60} +(9.02625 + 7.57392i) q^{61} +(3.18119 + 3.79120i) q^{62} +(-3.18122 - 2.89164i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(0.798855 + 1.38366i) q^{65} +(-1.89262 - 1.65307i) q^{66} +(3.17216 + 8.71543i) q^{67} +(4.80058 - 2.77162i) q^{68} +(1.06803 + 0.0211592i) q^{69} +(0.753384 + 0.132842i) q^{70} +(-9.59384 + 8.05019i) q^{71} +(2.85751 - 0.913599i) q^{72} +(-2.80621 - 15.9148i) q^{73} +(-2.19537 + 6.03173i) q^{74} +(7.15201 - 3.94243i) q^{75} +(-3.24489 - 2.91044i) q^{76} +2.07905i q^{77} +(-0.798855 - 5.12183i) q^{78} +(-7.87896 + 1.38927i) q^{79} +(-0.343148 + 0.408948i) q^{80} +(-8.18705 - 3.73794i) q^{81} +(-1.37347 + 7.78933i) q^{82} +(4.29627 + 2.48045i) q^{83} +(-2.12452 - 1.28336i) q^{84} +(2.78076 - 1.01211i) q^{85} +(-5.99550 + 2.18218i) q^{86} +(-7.85414 - 4.74446i) q^{87} +(-1.25645 - 0.725411i) q^{88} +(-0.832120 + 4.71919i) q^{89} +(1.58698 - 0.215416i) q^{90} +(-2.75678 + 3.28540i) q^{91} +(0.607378 - 0.107097i) q^{92} +(-1.32101 - 8.46962i) q^{93} -12.7882i q^{94} +(-1.43615 - 1.83092i) q^{95} +(1.51686 - 0.836144i) q^{96} +(-2.83601 + 7.79188i) q^{97} +(-0.858945 - 4.87132i) q^{98} +(1.32547 + 4.14573i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} + O(q^{10}) \) \( 18q + 3q^{3} - 9q^{8} - 3q^{9} - 12q^{13} - 12q^{14} + 18q^{15} + 6q^{17} - 6q^{19} - 24q^{22} + 3q^{24} - 18q^{25} + 18q^{26} - 6q^{27} + 6q^{28} - 6q^{29} - 24q^{33} - 6q^{34} - 24q^{35} + 3q^{38} + 6q^{39} + 3q^{41} - 6q^{43} + 24q^{44} - 54q^{45} + 18q^{46} + 30q^{47} + 21q^{49} + 3q^{50} + 42q^{51} - 6q^{52} - 60q^{53} + 54q^{54} + 30q^{55} + 12q^{57} + 12q^{58} + 3q^{59} + 24q^{60} + 54q^{61} + 6q^{62} - 18q^{63} - 9q^{64} + 24q^{65} - 27q^{66} - 15q^{67} - 27q^{68} + 30q^{69} + 24q^{70} + 36q^{71} + 6q^{72} - 42q^{73} + 6q^{74} - 24q^{78} - 6q^{79} - 3q^{81} + 3q^{82} + 36q^{83} - 30q^{84} - 6q^{86} - 60q^{89} - 18q^{91} - 66q^{93} + 6q^{95} + 9q^{97} + 12q^{98} - 102q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{11}{18}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.939693 0.342020i −0.664463 0.241845i
\(3\) 1.08684 + 1.34862i 0.627488 + 0.778626i
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 0.343148 + 0.408948i 0.153461 + 0.182887i 0.837297 0.546748i \(-0.184134\pi\)
−0.683837 + 0.729635i \(0.739690\pi\)
\(6\) −0.560041 1.63901i −0.228636 0.669123i
\(7\) −0.716507 + 1.24103i −0.270814 + 0.469064i −0.969071 0.246784i \(-0.920626\pi\)
0.698256 + 0.715848i \(0.253960\pi\)
\(8\) −0.500000 0.866025i −0.176777 0.306186i
\(9\) −0.637553 + 2.93147i −0.212518 + 0.977157i
\(10\) −0.182585 0.501649i −0.0577386 0.158635i
\(11\) 1.25645 0.725411i 0.378834 0.218720i −0.298477 0.954417i \(-0.596479\pi\)
0.677311 + 0.735697i \(0.263145\pi\)
\(12\) −0.0343077 + 1.73171i −0.00990379 + 0.499902i
\(13\) 2.94737 + 0.519701i 0.817454 + 0.144139i 0.566713 0.823915i \(-0.308215\pi\)
0.250741 + 0.968054i \(0.419326\pi\)
\(14\) 1.09775 0.921124i 0.293387 0.246181i
\(15\) −0.178568 + 0.907238i −0.0461061 + 0.234248i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) 1.89590 5.20894i 0.459823 1.26335i −0.465795 0.884893i \(-0.654232\pi\)
0.925618 0.378460i \(-0.123546\pi\)
\(18\) 1.60173 2.53663i 0.377530 0.597889i
\(19\) −4.35653 0.143752i −0.999456 0.0329790i
\(20\) 0.533844i 0.119371i
\(21\) −2.45240 + 0.382503i −0.535158 + 0.0834690i
\(22\) −1.42878 + 0.251933i −0.304617 + 0.0537122i
\(23\) 0.396438 0.472456i 0.0826630 0.0985139i −0.723128 0.690714i \(-0.757296\pi\)
0.805791 + 0.592200i \(0.201741\pi\)
\(24\) 0.624519 1.61554i 0.127479 0.329771i
\(25\) 0.818753 4.64338i 0.163751 0.928676i
\(26\) −2.59188 1.49642i −0.508309 0.293472i
\(27\) −4.64636 + 2.32623i −0.894192 + 0.447683i
\(28\) −1.34659 + 0.490120i −0.254482 + 0.0926240i
\(29\) −4.97822 + 1.81193i −0.924433 + 0.336466i −0.760001 0.649922i \(-0.774801\pi\)
−0.164432 + 0.986388i \(0.552579\pi\)
\(30\) 0.478093 0.791451i 0.0872874 0.144499i
\(31\) −4.28601 2.47453i −0.769790 0.444439i 0.0630096 0.998013i \(-0.479930\pi\)
−0.832800 + 0.553574i \(0.813263\pi\)
\(32\) 0.173648 0.984808i 0.0306970 0.174091i
\(33\) 2.34386 + 0.906066i 0.408014 + 0.157726i
\(34\) −3.56312 + 4.24636i −0.611071 + 0.728245i
\(35\) −0.753384 + 0.132842i −0.127345 + 0.0224544i
\(36\) −2.37271 + 1.83583i −0.395451 + 0.305971i
\(37\) 6.41883i 1.05525i −0.849478 0.527625i \(-0.823083\pi\)
0.849478 0.527625i \(-0.176917\pi\)
\(38\) 4.04463 + 1.62510i 0.656126 + 0.263627i
\(39\) 2.50245 + 4.53972i 0.400712 + 0.726937i
\(40\) 0.182585 0.501649i 0.0288693 0.0793177i
\(41\) −1.37347 7.78933i −0.214500 1.21649i −0.881772 0.471675i \(-0.843650\pi\)
0.667273 0.744814i \(-0.267462\pi\)
\(42\) 2.43533 + 0.479336i 0.375780 + 0.0739632i
\(43\) 4.88757 4.10116i 0.745348 0.625421i −0.188920 0.981992i \(-0.560499\pi\)
0.934268 + 0.356571i \(0.116054\pi\)
\(44\) 1.42878 + 0.251933i 0.215397 + 0.0379803i
\(45\) −1.41759 + 0.745203i −0.211323 + 0.111088i
\(46\) −0.534119 + 0.308374i −0.0787516 + 0.0454672i
\(47\) 4.37381 + 12.0169i 0.637985 + 1.75285i 0.657963 + 0.753050i \(0.271418\pi\)
−0.0199780 + 0.999800i \(0.506360\pi\)
\(48\) −1.13940 + 1.30452i −0.164459 + 0.188291i
\(49\) 2.47323 + 4.28377i 0.353319 + 0.611967i
\(50\) −2.35751 + 4.08332i −0.333402 + 0.577469i
\(51\) 9.08542 3.10444i 1.27221 0.434709i
\(52\) 1.92376 + 2.29265i 0.266778 + 0.317933i
\(53\) −1.41439 1.18682i −0.194282 0.163022i 0.540458 0.841371i \(-0.318251\pi\)
−0.734739 + 0.678349i \(0.762696\pi\)
\(54\) 5.16177 0.596790i 0.702428 0.0812128i
\(55\) 0.727804 + 0.264899i 0.0981370 + 0.0357190i
\(56\) 1.43301 0.191495
\(57\) −4.54099 6.03154i −0.601468 0.798897i
\(58\) 5.29771 0.695624
\(59\) −1.75650 0.639313i −0.228676 0.0832314i 0.225141 0.974326i \(-0.427716\pi\)
−0.453817 + 0.891095i \(0.649938\pi\)
\(60\) −0.719953 + 0.580203i −0.0929455 + 0.0749039i
\(61\) 9.02625 + 7.57392i 1.15569 + 0.969742i 0.999837 0.0180382i \(-0.00574206\pi\)
0.155856 + 0.987780i \(0.450186\pi\)
\(62\) 3.18119 + 3.79120i 0.404012 + 0.481483i
\(63\) −3.18122 2.89164i −0.400797 0.364313i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) 0.798855 + 1.38366i 0.0990857 + 0.171622i
\(66\) −1.89262 1.65307i −0.232965 0.203479i
\(67\) 3.17216 + 8.71543i 0.387541 + 1.06476i 0.968105 + 0.250545i \(0.0806099\pi\)
−0.580564 + 0.814215i \(0.697168\pi\)
\(68\) 4.80058 2.77162i 0.582156 0.336108i
\(69\) 1.06803 + 0.0211592i 0.128576 + 0.00254727i
\(70\) 0.753384 + 0.132842i 0.0900466 + 0.0158776i
\(71\) −9.59384 + 8.05019i −1.13858 + 0.955382i −0.999391 0.0348843i \(-0.988894\pi\)
−0.139188 + 0.990266i \(0.544449\pi\)
\(72\) 2.85751 0.913599i 0.336760 0.107669i
\(73\) −2.80621 15.9148i −0.328442 1.86269i −0.484294 0.874905i \(-0.660923\pi\)
0.155852 0.987780i \(-0.450188\pi\)
\(74\) −2.19537 + 6.03173i −0.255207 + 0.701174i
\(75\) 7.15201 3.94243i 0.825843 0.455232i
\(76\) −3.24489 2.91044i −0.372215 0.333851i
\(77\) 2.07905i 0.236930i
\(78\) −0.798855 5.12183i −0.0904525 0.579933i
\(79\) −7.87896 + 1.38927i −0.886452 + 0.156305i −0.598293 0.801277i \(-0.704154\pi\)
−0.288159 + 0.957583i \(0.593043\pi\)
\(80\) −0.343148 + 0.408948i −0.0383651 + 0.0457218i
\(81\) −8.18705 3.73794i −0.909673 0.415326i
\(82\) −1.37347 + 7.78933i −0.151674 + 0.860187i
\(83\) 4.29627 + 2.48045i 0.471577 + 0.272265i 0.716900 0.697176i \(-0.245561\pi\)
−0.245323 + 0.969442i \(0.578894\pi\)
\(84\) −2.12452 1.28336i −0.231804 0.140026i
\(85\) 2.78076 1.01211i 0.301616 0.109779i
\(86\) −5.99550 + 2.18218i −0.646511 + 0.235311i
\(87\) −7.85414 4.74446i −0.842052 0.508659i
\(88\) −1.25645 0.725411i −0.133938 0.0773291i
\(89\) −0.832120 + 4.71919i −0.0882046 + 0.500233i 0.908414 + 0.418071i \(0.137294\pi\)
−0.996619 + 0.0821621i \(0.973817\pi\)
\(90\) 1.58698 0.215416i 0.167282 0.0227068i
\(91\) −2.75678 + 3.28540i −0.288989 + 0.344403i
\(92\) 0.607378 0.107097i 0.0633235 0.0111656i
\(93\) −1.32101 8.46962i −0.136983 0.878259i
\(94\) 12.7882i 1.31900i
\(95\) −1.43615 1.83092i −0.147346 0.187849i
\(96\) 1.51686 0.836144i 0.154814 0.0853386i
\(97\) −2.83601 + 7.79188i −0.287954 + 0.791146i 0.708399 + 0.705812i \(0.249418\pi\)
−0.996352 + 0.0853335i \(0.972804\pi\)
\(98\) −0.858945 4.87132i −0.0867666 0.492078i
\(99\) 1.32547 + 4.14573i 0.133215 + 0.416662i
\(100\) 3.61191 3.03075i 0.361191 0.303075i
\(101\) 3.10192 + 0.546953i 0.308653 + 0.0544238i 0.325829 0.945429i \(-0.394357\pi\)
−0.0171763 + 0.999852i \(0.505468\pi\)
\(102\) −9.59928 0.190176i −0.950470 0.0188302i
\(103\) −8.85438 + 5.11208i −0.872448 + 0.503708i −0.868161 0.496282i \(-0.834698\pi\)
−0.00428731 + 0.999991i \(0.501365\pi\)
\(104\) −1.02361 2.81235i −0.100373 0.275774i
\(105\) −0.997962 0.871651i −0.0973911 0.0850644i
\(106\) 0.923180 + 1.59899i 0.0896672 + 0.155308i
\(107\) 5.80970 10.0627i 0.561645 0.972798i −0.435708 0.900088i \(-0.643502\pi\)
0.997353 0.0727101i \(-0.0231648\pi\)
\(108\) −5.05459 1.20463i −0.486378 0.115916i
\(109\) −0.0205152 0.0244490i −0.00196500 0.00234179i 0.765061 0.643958i \(-0.222709\pi\)
−0.767026 + 0.641616i \(0.778264\pi\)
\(110\) −0.593311 0.497847i −0.0565700 0.0474678i
\(111\) 8.65657 6.97625i 0.821645 0.662156i
\(112\) −1.34659 0.490120i −0.127241 0.0463120i
\(113\) 10.3475 0.973413 0.486706 0.873566i \(-0.338198\pi\)
0.486706 + 0.873566i \(0.338198\pi\)
\(114\) 2.20422 + 7.22090i 0.206445 + 0.676299i
\(115\) 0.329247 0.0307024
\(116\) −4.97822 1.81193i −0.462216 0.168233i
\(117\) −3.40259 + 8.30880i −0.314570 + 0.768149i
\(118\) 1.43191 + 1.20152i 0.131818 + 0.110608i
\(119\) 5.10601 + 6.08510i 0.468067 + 0.557820i
\(120\) 0.874975 0.298975i 0.0798740 0.0272925i
\(121\) −4.44756 + 7.70340i −0.404323 + 0.700309i
\(122\) −5.89147 10.2043i −0.533388 0.923856i
\(123\) 9.01210 10.3180i 0.812594 0.930347i
\(124\) −1.69268 4.65059i −0.152007 0.417636i
\(125\) 4.49147 2.59315i 0.401729 0.231938i
\(126\) 2.00037 + 3.80530i 0.178207 + 0.339003i
\(127\) −0.772141 0.136149i −0.0685165 0.0120813i 0.139285 0.990252i \(-0.455520\pi\)
−0.207801 + 0.978171i \(0.566631\pi\)
\(128\) 0.766044 0.642788i 0.0677094 0.0568149i
\(129\) 10.8429 + 2.13417i 0.954666 + 0.187903i
\(130\) −0.277439 1.57344i −0.0243330 0.138000i
\(131\) 3.93973 10.8243i 0.344216 0.945726i −0.639941 0.768424i \(-0.721041\pi\)
0.984157 0.177301i \(-0.0567367\pi\)
\(132\) 1.21310 + 2.20069i 0.105586 + 0.191546i
\(133\) 3.29988 5.30357i 0.286136 0.459878i
\(134\) 9.27477i 0.801218i
\(135\) −2.54570 1.10188i −0.219099 0.0948347i
\(136\) −5.45902 + 0.962573i −0.468107 + 0.0825399i
\(137\) −8.70595 + 10.3754i −0.743800 + 0.886426i −0.996709 0.0810638i \(-0.974168\pi\)
0.252909 + 0.967490i \(0.418613\pi\)
\(138\) −0.996382 0.385171i −0.0848177 0.0327879i
\(139\) −1.25656 + 7.12628i −0.106580 + 0.604444i 0.883998 + 0.467491i \(0.154842\pi\)
−0.990578 + 0.136953i \(0.956269\pi\)
\(140\) −0.662515 0.382503i −0.0559927 0.0323274i
\(141\) −11.4526 + 18.9591i −0.964487 + 1.59664i
\(142\) 11.7686 4.28342i 0.987598 0.359456i
\(143\) 4.08022 1.48508i 0.341205 0.124188i
\(144\) −2.99765 0.118822i −0.249804 0.00990185i
\(145\) −2.44925 1.41408i −0.203399 0.117433i
\(146\) −2.80621 + 15.9148i −0.232243 + 1.31712i
\(147\) −3.08916 + 7.99123i −0.254790 + 0.659105i
\(148\) 4.12595 4.91711i 0.339151 0.404184i
\(149\) −19.4195 + 3.42419i −1.59091 + 0.280520i −0.897831 0.440341i \(-0.854858\pi\)
−0.693079 + 0.720861i \(0.743746\pi\)
\(150\) −8.06908 + 1.25854i −0.658838 + 0.102759i
\(151\) 4.23079i 0.344297i 0.985071 + 0.172148i \(0.0550709\pi\)
−0.985071 + 0.172148i \(0.944929\pi\)
\(152\) 2.05377 + 3.84474i 0.166583 + 0.311850i
\(153\) 14.0611 + 8.87874i 1.13677 + 0.717804i
\(154\) 0.711077 1.95367i 0.0573002 0.157431i
\(155\) −0.458783 2.60189i −0.0368503 0.208989i
\(156\) −1.00109 + 5.08617i −0.0801513 + 0.407219i
\(157\) 7.78482 6.53224i 0.621296 0.521330i −0.276914 0.960895i \(-0.589312\pi\)
0.898211 + 0.439565i \(0.144867\pi\)
\(158\) 7.87896 + 1.38927i 0.626817 + 0.110525i
\(159\) 0.0633444 3.19736i 0.00502354 0.253567i
\(160\) 0.462322 0.266922i 0.0365498 0.0211020i
\(161\) 0.302280 + 0.830508i 0.0238230 + 0.0654532i
\(162\) 6.41486 + 6.31265i 0.503999 + 0.495968i
\(163\) −5.20216 9.01041i −0.407465 0.705750i 0.587140 0.809485i \(-0.300254\pi\)
−0.994605 + 0.103735i \(0.966920\pi\)
\(164\) 3.95475 6.84982i 0.308814 0.534881i
\(165\) 0.433759 + 1.26943i 0.0337681 + 0.0988253i
\(166\) −3.18881 3.80028i −0.247500 0.294959i
\(167\) −18.2265 15.2939i −1.41041 1.18347i −0.956249 0.292555i \(-0.905494\pi\)
−0.454162 0.890919i \(-0.650061\pi\)
\(168\) 1.55746 + 1.93259i 0.120161 + 0.149103i
\(169\) −3.79909 1.38276i −0.292238 0.106366i
\(170\) −2.95922 −0.226962
\(171\) 3.19892 12.6794i 0.244628 0.969617i
\(172\) 6.38027 0.486491
\(173\) 23.5435 + 8.56912i 1.78998 + 0.651498i 0.999225 + 0.0393612i \(0.0125323\pi\)
0.790752 + 0.612137i \(0.209690\pi\)
\(174\) 5.75777 + 7.14460i 0.436496 + 0.541631i
\(175\) 5.17592 + 4.34311i 0.391263 + 0.328308i
\(176\) 0.932570 + 1.11139i 0.0702951 + 0.0837745i
\(177\) −1.04684 3.06368i −0.0786856 0.230280i
\(178\) 2.39599 4.14998i 0.179587 0.311054i
\(179\) −7.77173 13.4610i −0.580886 1.00612i −0.995375 0.0960699i \(-0.969373\pi\)
0.414488 0.910055i \(-0.363961\pi\)
\(180\) −1.56495 0.340354i −0.116644 0.0253685i
\(181\) 7.17064 + 19.7012i 0.532990 + 1.46438i 0.855496 + 0.517810i \(0.173252\pi\)
−0.322506 + 0.946567i \(0.604525\pi\)
\(182\) 3.71420 2.14439i 0.275315 0.158953i
\(183\) −0.404246 + 20.4046i −0.0298827 + 1.50835i
\(184\) −0.607378 0.107097i −0.0447765 0.00789530i
\(185\) 2.62497 2.20261i 0.192992 0.161939i
\(186\) −1.65544 + 8.41065i −0.121382 + 0.616699i
\(187\) −1.39652 7.92007i −0.102124 0.579173i
\(188\) −4.37381 + 12.0169i −0.318993 + 0.876425i
\(189\) 0.442240 7.43302i 0.0321682 0.540673i
\(190\) 0.723325 + 2.21170i 0.0524755 + 0.160453i
\(191\) 1.59398i 0.115336i 0.998336 + 0.0576682i \(0.0183665\pi\)
−0.998336 + 0.0576682i \(0.981633\pi\)
\(192\) −1.71136 + 0.266922i −0.123507 + 0.0192634i
\(193\) 4.28991 0.756427i 0.308795 0.0544488i −0.0171035 0.999854i \(-0.505444\pi\)
0.325898 + 0.945405i \(0.394333\pi\)
\(194\) 5.32996 6.35200i 0.382669 0.456047i
\(195\) −0.997799 + 2.58117i −0.0714539 + 0.184841i
\(196\) −0.858945 + 4.87132i −0.0613532 + 0.347951i
\(197\) −5.69700 3.28916i −0.405894 0.234343i 0.283130 0.959082i \(-0.408627\pi\)
−0.689024 + 0.724738i \(0.741961\pi\)
\(198\) 0.172390 4.34905i 0.0122512 0.309074i
\(199\) 10.2412 3.72750i 0.725981 0.264235i 0.0475182 0.998870i \(-0.484869\pi\)
0.678463 + 0.734635i \(0.262647\pi\)
\(200\) −4.43066 + 1.61263i −0.313295 + 0.114030i
\(201\) −8.30618 + 13.7503i −0.585873 + 0.969873i
\(202\) −2.72779 1.57489i −0.191926 0.110809i
\(203\) 1.31829 7.47637i 0.0925255 0.524738i
\(204\) 8.95533 + 3.46185i 0.626998 + 0.242378i
\(205\) 2.71413 3.23457i 0.189563 0.225912i
\(206\) 10.0688 1.77541i 0.701529 0.123698i
\(207\) 1.13224 + 1.46336i 0.0786962 + 0.101711i
\(208\) 2.99284i 0.207516i
\(209\) −5.57803 + 2.97966i −0.385841 + 0.206107i
\(210\) 0.639655 + 1.16041i 0.0441404 + 0.0800757i
\(211\) −2.58901 + 7.11324i −0.178235 + 0.489695i −0.996350 0.0853581i \(-0.972797\pi\)
0.818116 + 0.575054i \(0.195019\pi\)
\(212\) −0.320617 1.81831i −0.0220201 0.124882i
\(213\) −21.2836 4.18917i −1.45833 0.287037i
\(214\) −8.90098 + 7.46881i −0.608459 + 0.510558i
\(215\) 3.35432 + 0.591458i 0.228763 + 0.0403371i
\(216\) 4.33775 + 2.86075i 0.295147 + 0.194650i
\(217\) 6.14192 3.54604i 0.416940 0.240721i
\(218\) 0.0109159 + 0.0299912i 0.000739318 + 0.00203126i
\(219\) 18.4131 21.0814i 1.24424 1.42455i
\(220\) 0.387256 + 0.670747i 0.0261088 + 0.0452218i
\(221\) 8.29501 14.3674i 0.557983 0.966454i
\(222\) −10.5205 + 3.59481i −0.706092 + 0.241268i
\(223\) −7.40150 8.82076i −0.495641 0.590682i 0.459002 0.888435i \(-0.348207\pi\)
−0.954643 + 0.297753i \(0.903763\pi\)
\(224\) 1.09775 + 0.921124i 0.0733467 + 0.0615452i
\(225\) 13.0899 + 5.36055i 0.872662 + 0.357370i
\(226\) −9.72349 3.53906i −0.646797 0.235415i
\(227\) 1.54291 0.102407 0.0512033 0.998688i \(-0.483694\pi\)
0.0512033 + 0.998688i \(0.483694\pi\)
\(228\) 0.398399 7.53932i 0.0263846 0.499303i
\(229\) −8.17334 −0.540110 −0.270055 0.962845i \(-0.587042\pi\)
−0.270055 + 0.962845i \(0.587042\pi\)
\(230\) −0.309391 0.112609i −0.0204006 0.00742522i
\(231\) −2.80385 + 2.25960i −0.184480 + 0.148671i
\(232\) 4.05828 + 3.40531i 0.266439 + 0.223569i
\(233\) 5.39612 + 6.43084i 0.353511 + 0.421298i 0.913268 0.407358i \(-0.133550\pi\)
−0.559757 + 0.828657i \(0.689106\pi\)
\(234\) 6.03917 6.64396i 0.394793 0.434329i
\(235\) −3.41344 + 5.91225i −0.222668 + 0.385673i
\(236\) −0.934613 1.61880i −0.0608381 0.105375i
\(237\) −10.4368 9.11581i −0.677942 0.592135i
\(238\) −2.71685 7.46448i −0.176107 0.483851i
\(239\) −7.60840 + 4.39271i −0.492147 + 0.284141i −0.725465 0.688260i \(-0.758375\pi\)
0.233318 + 0.972401i \(0.425042\pi\)
\(240\) −0.924463 0.0183150i −0.0596739 0.00118223i
\(241\) −13.2349 2.33367i −0.852536 0.150325i −0.269730 0.962936i \(-0.586934\pi\)
−0.582806 + 0.812611i \(0.698045\pi\)
\(242\) 6.81405 5.71767i 0.438024 0.367546i
\(243\) −3.85697 15.1038i −0.247425 0.968907i
\(244\) 2.04609 + 11.6039i 0.130987 + 0.742865i
\(245\) −0.903153 + 2.48139i −0.0577003 + 0.158530i
\(246\) −11.9976 + 6.61347i −0.764938 + 0.421660i
\(247\) −12.7656 2.68778i −0.812256 0.171020i
\(248\) 4.94906i 0.314265i
\(249\) 1.32418 + 8.48990i 0.0839162 + 0.538026i
\(250\) −5.10751 + 0.900591i −0.323027 + 0.0569584i
\(251\) 5.05003 6.01839i 0.318755 0.379877i −0.582746 0.812654i \(-0.698022\pi\)
0.901501 + 0.432777i \(0.142466\pi\)
\(252\) −0.578248 4.25998i −0.0364262 0.268353i
\(253\) 0.155379 0.881197i 0.00976858 0.0554004i
\(254\) 0.679010 + 0.392026i 0.0426049 + 0.0245979i
\(255\) 4.38720 + 2.65018i 0.274737 + 0.165961i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) −11.5445 + 4.20184i −0.720123 + 0.262103i −0.675978 0.736922i \(-0.736279\pi\)
−0.0441451 + 0.999025i \(0.514056\pi\)
\(258\) −9.45909 5.71396i −0.588897 0.355736i
\(259\) 7.96595 + 4.59914i 0.494980 + 0.285777i
\(260\) −0.277439 + 1.57344i −0.0172061 + 0.0975804i
\(261\) −2.13773 15.7487i −0.132322 0.974821i
\(262\) −7.40427 + 8.82407i −0.457438 + 0.545153i
\(263\) −23.4707 + 4.13852i −1.44727 + 0.255192i −0.841416 0.540387i \(-0.818278\pi\)
−0.605849 + 0.795579i \(0.707167\pi\)
\(264\) −0.387256 2.48288i −0.0238340 0.152811i
\(265\) 0.985668i 0.0605491i
\(266\) −4.91481 + 3.85510i −0.301346 + 0.236371i
\(267\) −7.26877 + 4.00679i −0.444842 + 0.245212i
\(268\) −3.17216 + 8.71543i −0.193770 + 0.532380i
\(269\) −3.30229 18.7282i −0.201344 1.14188i −0.903090 0.429452i \(-0.858707\pi\)
0.701745 0.712428i \(-0.252404\pi\)
\(270\) 2.01531 + 1.90611i 0.122648 + 0.116002i
\(271\) 4.13554 3.47013i 0.251216 0.210795i −0.508480 0.861074i \(-0.669792\pi\)
0.759696 + 0.650279i \(0.225348\pi\)
\(272\) 5.45902 + 0.962573i 0.331002 + 0.0583645i
\(273\) −7.42693 0.147138i −0.449499 0.00890522i
\(274\) 11.7295 6.77203i 0.708605 0.409113i
\(275\) −2.33964 6.42810i −0.141085 0.387629i
\(276\) 0.804557 + 0.702725i 0.0484286 + 0.0422990i
\(277\) 0.0466956 + 0.0808791i 0.00280567 + 0.00485956i 0.867425 0.497568i \(-0.165774\pi\)
−0.864619 + 0.502428i \(0.832440\pi\)
\(278\) 3.61811 6.26675i 0.217000 0.375855i
\(279\) 9.98657 10.9867i 0.597880 0.657755i
\(280\) 0.491736 + 0.586029i 0.0293869 + 0.0350219i
\(281\) 7.81505 + 6.55760i 0.466207 + 0.391194i 0.845409 0.534120i \(-0.179357\pi\)
−0.379202 + 0.925314i \(0.623801\pi\)
\(282\) 17.2464 13.8987i 1.02701 0.827655i
\(283\) 18.1732 + 6.61449i 1.08028 + 0.393190i 0.820013 0.572346i \(-0.193966\pi\)
0.260269 + 0.965536i \(0.416189\pi\)
\(284\) −12.5239 −0.743155
\(285\) 0.908354 3.92674i 0.0538063 0.232600i
\(286\) −4.34208 −0.256752
\(287\) 10.6509 + 3.87660i 0.628701 + 0.228828i
\(288\) 2.77623 + 1.13691i 0.163591 + 0.0669932i
\(289\) −10.5158 8.82384i −0.618579 0.519049i
\(290\) 1.81790 + 2.16649i 0.106751 + 0.127221i
\(291\) −13.5906 + 4.64383i −0.796694 + 0.272226i
\(292\) 8.08015 13.9952i 0.472855 0.819009i
\(293\) 8.09268 + 14.0169i 0.472780 + 0.818878i 0.999515 0.0311512i \(-0.00991734\pi\)
−0.526735 + 0.850030i \(0.676584\pi\)
\(294\) 5.63602 6.45274i 0.328700 0.376332i
\(295\) −0.341293 0.937695i −0.0198709 0.0545947i
\(296\) −5.55887 + 3.20942i −0.323103 + 0.186544i
\(297\) −4.15044 + 6.29331i −0.240833 + 0.365175i
\(298\) 19.4195 + 3.42419i 1.12494 + 0.198358i
\(299\) 1.41399 1.18647i 0.0817729 0.0686156i
\(300\) 8.01290 + 1.57715i 0.462625 + 0.0910566i
\(301\) 1.58767 + 9.00413i 0.0915118 + 0.518989i
\(302\) 1.44702 3.97564i 0.0832664 0.228772i
\(303\) 2.63367 + 4.77777i 0.151300 + 0.274476i
\(304\) −0.614935 4.31530i −0.0352689 0.247500i
\(305\) 6.29025i 0.360179i
\(306\) −10.1764 13.1525i −0.581747 0.751877i
\(307\) 17.5661 3.09738i 1.00255 0.176777i 0.351806 0.936073i \(-0.385568\pi\)
0.650745 + 0.759296i \(0.274457\pi\)
\(308\) −1.33639 + 1.59264i −0.0761477 + 0.0907493i
\(309\) −16.5176 6.38518i −0.939651 0.363240i
\(310\) −0.458783 + 2.60189i −0.0260571 + 0.147777i
\(311\) 28.3493 + 16.3675i 1.60754 + 0.928114i 0.989918 + 0.141639i \(0.0452373\pi\)
0.617622 + 0.786475i \(0.288096\pi\)
\(312\) 2.68029 4.43704i 0.151741 0.251198i
\(313\) −24.8285 + 9.03684i −1.40339 + 0.510792i −0.929183 0.369621i \(-0.879488\pi\)
−0.474208 + 0.880413i \(0.657265\pi\)
\(314\) −9.54950 + 3.47573i −0.538909 + 0.196147i
\(315\) 0.0908997 2.29322i 0.00512162 0.129208i
\(316\) −6.92864 4.00025i −0.389767 0.225032i
\(317\) −2.32840 + 13.2050i −0.130776 + 0.741669i 0.846932 + 0.531701i \(0.178447\pi\)
−0.977708 + 0.209968i \(0.932664\pi\)
\(318\) −1.15309 + 2.98287i −0.0646619 + 0.167271i
\(319\) −4.94049 + 5.88785i −0.276614 + 0.329656i
\(320\) −0.525734 + 0.0927010i −0.0293894 + 0.00518214i
\(321\) 19.8850 3.10148i 1.10987 0.173107i
\(322\) 0.883809i 0.0492527i
\(323\) −9.00833 + 22.4203i −0.501237 + 1.24750i
\(324\) −3.86895 8.12596i −0.214942 0.451442i
\(325\) 4.82634 13.2603i 0.267717 0.735547i
\(326\) 1.80669 + 10.2463i 0.100063 + 0.567488i
\(327\) 0.0106757 0.0542394i 0.000590369 0.00299945i
\(328\) −6.05902 + 5.08412i −0.334554 + 0.280724i
\(329\) −18.0472 3.18221i −0.994975 0.175441i
\(330\) 0.0265718 1.34123i 0.00146273 0.0738324i
\(331\) 21.6450 12.4967i 1.18971 0.686882i 0.231473 0.972841i \(-0.425645\pi\)
0.958242 + 0.285959i \(0.0923121\pi\)
\(332\) 1.69673 + 4.66173i 0.0931202 + 0.255846i
\(333\) 18.8166 + 4.09234i 1.03114 + 0.224259i
\(334\) 11.8965 + 20.6054i 0.650948 + 1.12748i
\(335\) −2.47564 + 4.28793i −0.135259 + 0.234275i
\(336\) −0.802548 2.34873i −0.0437826 0.128133i
\(337\) 10.7174 + 12.7725i 0.583815 + 0.695764i 0.974405 0.224801i \(-0.0721732\pi\)
−0.390589 + 0.920565i \(0.627729\pi\)
\(338\) 3.09705 + 2.59873i 0.168457 + 0.141352i
\(339\) 11.2461 + 13.9549i 0.610805 + 0.757925i
\(340\) 2.78076 + 1.01211i 0.150808 + 0.0548896i
\(341\) −7.18020 −0.388830
\(342\) −7.34261 + 10.8206i −0.397043 + 0.585113i
\(343\) −17.1195 −0.924364
\(344\) −5.99550 2.18218i −0.323256 0.117655i
\(345\) 0.357839 + 0.444029i 0.0192654 + 0.0239057i
\(346\) −19.1928 16.1047i −1.03181 0.865793i
\(347\) 23.0175 + 27.4312i 1.23564 + 1.47258i 0.829244 + 0.558886i \(0.188771\pi\)
0.406399 + 0.913696i \(0.366784\pi\)
\(348\) −2.96694 8.68301i −0.159045 0.465458i
\(349\) 9.77902 16.9378i 0.523459 0.906657i −0.476168 0.879354i \(-0.657975\pi\)
0.999627 0.0273031i \(-0.00869193\pi\)
\(350\) −3.37834 5.85146i −0.180580 0.312774i
\(351\) −14.9035 + 4.44154i −0.795490 + 0.237072i
\(352\) −0.496210 1.36333i −0.0264481 0.0726656i
\(353\) 27.9356 16.1286i 1.48686 0.858441i 0.486976 0.873416i \(-0.338100\pi\)
0.999888 + 0.0149745i \(0.00476672\pi\)
\(354\) −0.0641289 + 3.23696i −0.00340841 + 0.172042i
\(355\) −6.58422 1.16098i −0.349454 0.0616182i
\(356\) −3.67088 + 3.08023i −0.194556 + 0.163252i
\(357\) −2.65707 + 13.4996i −0.140627 + 0.714475i
\(358\) 2.69909 + 15.3073i 0.142651 + 0.809017i
\(359\) −5.99057 + 16.4590i −0.316170 + 0.868671i 0.675206 + 0.737629i \(0.264055\pi\)
−0.991377 + 0.131042i \(0.958168\pi\)
\(360\) 1.35416 + 0.855072i 0.0713706 + 0.0450662i
\(361\) 18.9587 + 1.25252i 0.997825 + 0.0659220i
\(362\) 20.9656i 1.10193i
\(363\) −15.2227 + 2.37430i −0.798987 + 0.124619i
\(364\) −4.22363 + 0.744740i −0.221378 + 0.0390350i
\(365\) 5.54538 6.60873i 0.290258 0.345917i
\(366\) 7.35866 19.0358i 0.384644 0.995019i
\(367\) 3.59236 20.3733i 0.187520 1.06348i −0.735155 0.677899i \(-0.762891\pi\)
0.922675 0.385578i \(-0.125998\pi\)
\(368\) 0.534119 + 0.308374i 0.0278429 + 0.0160751i
\(369\) 23.7099 + 0.939823i 1.23429 + 0.0489252i
\(370\) −3.22000 + 1.17198i −0.167400 + 0.0609286i
\(371\) 2.48630 0.904938i 0.129082 0.0469820i
\(372\) 4.43221 7.33724i 0.229800 0.380418i
\(373\) 2.46819 + 1.42501i 0.127798 + 0.0737843i 0.562536 0.826773i \(-0.309826\pi\)
−0.434738 + 0.900557i \(0.643159\pi\)
\(374\) −1.39652 + 7.92007i −0.0722124 + 0.409537i
\(375\) 8.37868 + 3.23894i 0.432673 + 0.167258i
\(376\) 8.22007 9.79630i 0.423918 0.505205i
\(377\) −15.6143 + 2.75323i −0.804179 + 0.141798i
\(378\) −2.95781 + 6.83350i −0.152133 + 0.351477i
\(379\) 15.1648i 0.778963i 0.921034 + 0.389482i \(0.127346\pi\)
−0.921034 + 0.389482i \(0.872654\pi\)
\(380\) 0.0767411 2.32571i 0.00393673 0.119306i
\(381\) −0.655581 1.18930i −0.0335864 0.0609296i
\(382\) 0.545173 1.49785i 0.0278935 0.0766368i
\(383\) 0.366876 + 2.08066i 0.0187465 + 0.106317i 0.992745 0.120237i \(-0.0383653\pi\)
−0.973999 + 0.226553i \(0.927254\pi\)
\(384\) 1.69944 + 0.334495i 0.0867244 + 0.0170696i
\(385\) −0.850223 + 0.713422i −0.0433314 + 0.0363594i
\(386\) −4.28991 0.756427i −0.218351 0.0385011i
\(387\) 8.90635 + 16.9425i 0.452735 + 0.861235i
\(388\) −7.18104 + 4.14597i −0.364562 + 0.210480i
\(389\) 1.43738 + 3.94918i 0.0728783 + 0.200231i 0.970783 0.239958i \(-0.0771336\pi\)
−0.897905 + 0.440189i \(0.854911\pi\)
\(390\) 1.82044 2.08424i 0.0921813 0.105539i
\(391\) −1.70939 2.96075i −0.0864475 0.149731i
\(392\) 2.47323 4.28377i 0.124917 0.216363i
\(393\) 18.8798 6.45112i 0.952358 0.325416i
\(394\) 4.22847 + 5.03929i 0.213027 + 0.253876i
\(395\) −3.27179 2.74536i −0.164622 0.138134i
\(396\) −1.64946 + 4.02781i −0.0828883 + 0.202405i
\(397\) 0.284948 + 0.103713i 0.0143011 + 0.00520518i 0.349161 0.937063i \(-0.386467\pi\)
−0.334860 + 0.942268i \(0.608689\pi\)
\(398\) −10.8985 −0.546291
\(399\) 10.7390 1.31385i 0.537620 0.0657747i
\(400\) 4.71501 0.235751
\(401\) 11.8640 + 4.31814i 0.592460 + 0.215638i 0.620811 0.783960i \(-0.286803\pi\)
−0.0283512 + 0.999598i \(0.509026\pi\)
\(402\) 12.5081 10.0802i 0.623850 0.502755i
\(403\) −11.3464 9.52080i −0.565207 0.474265i
\(404\) 2.02464 + 2.41287i 0.100729 + 0.120045i
\(405\) −1.28075 4.63075i −0.0636410 0.230104i
\(406\) −3.79585 + 6.57461i −0.188385 + 0.326292i
\(407\) −4.65629 8.06493i −0.230804 0.399764i
\(408\) −7.23123 6.31598i −0.357999 0.312688i
\(409\) −6.63505 18.2296i −0.328082 0.901398i −0.988597 0.150585i \(-0.951884\pi\)
0.660515 0.750813i \(-0.270338\pi\)
\(410\) −3.65673 + 2.11122i −0.180593 + 0.104266i
\(411\) −23.4544 0.464666i −1.15692 0.0229203i
\(412\) −10.0688 1.77541i −0.496056 0.0874680i
\(413\) 2.05195 1.72179i 0.100970 0.0847237i
\(414\) −0.563460 1.76236i −0.0276926 0.0866153i
\(415\) 0.459881 + 2.60812i 0.0225747 + 0.128027i
\(416\) 1.02361 2.81235i 0.0501867 0.137887i
\(417\) −10.9763 + 6.05052i −0.537513 + 0.296295i
\(418\) 6.26074 0.892161i 0.306223 0.0436370i
\(419\) 15.4879i 0.756633i −0.925676 0.378316i \(-0.876503\pi\)
0.925676 0.378316i \(-0.123497\pi\)
\(420\) −0.204197 1.30920i −0.00996379 0.0638825i
\(421\) 13.7766 2.42919i 0.671431 0.118391i 0.172468 0.985015i \(-0.444826\pi\)
0.498962 + 0.866624i \(0.333715\pi\)
\(422\) 4.86574 5.79876i 0.236861 0.282279i
\(423\) −38.0158 + 5.16026i −1.84839 + 0.250901i
\(424\) −0.320617 + 1.81831i −0.0155705 + 0.0883049i
\(425\) −22.6348 13.0682i −1.09795 0.633901i
\(426\) 18.5673 + 11.2160i 0.899588 + 0.543415i
\(427\) −15.8668 + 5.77505i −0.767849 + 0.279474i
\(428\) 10.9187 3.97407i 0.527774 0.192094i
\(429\) 6.43736 + 3.88862i 0.310798 + 0.187744i
\(430\) −2.94974 1.70304i −0.142249 0.0821277i
\(431\) 4.86245 27.5763i 0.234216 1.32831i −0.610042 0.792369i \(-0.708848\pi\)
0.844258 0.535936i \(-0.180041\pi\)
\(432\) −3.09772 4.17183i −0.149039 0.200717i
\(433\) −3.78152 + 4.50664i −0.181728 + 0.216575i −0.849216 0.528045i \(-0.822925\pi\)
0.667488 + 0.744621i \(0.267370\pi\)
\(434\) −6.98433 + 1.23153i −0.335259 + 0.0591151i
\(435\) −0.754896 4.83999i −0.0361945 0.232060i
\(436\) 0.0319160i 0.00152850i
\(437\) −1.79501 + 2.00128i −0.0858669 + 0.0957342i
\(438\) −24.5129 + 13.5123i −1.17127 + 0.645645i
\(439\) 7.65568 21.0338i 0.365386 1.00389i −0.611709 0.791083i \(-0.709518\pi\)
0.977094 0.212806i \(-0.0682602\pi\)
\(440\) −0.134493 0.762746i −0.00641169 0.0363625i
\(441\) −14.1346 + 4.51909i −0.673074 + 0.215195i
\(442\) −12.7087 + 10.6639i −0.604491 + 0.507228i
\(443\) −14.6859 2.58952i −0.697748 0.123032i −0.186487 0.982457i \(-0.559710\pi\)
−0.511261 + 0.859426i \(0.670821\pi\)
\(444\) 11.1156 + 0.220216i 0.527521 + 0.0104510i
\(445\) −2.21544 + 1.27909i −0.105022 + 0.0606345i
\(446\) 3.93825 + 10.8203i 0.186482 + 0.512354i
\(447\) −25.7239 22.4680i −1.21670 1.06270i
\(448\) −0.716507 1.24103i −0.0338518 0.0586330i
\(449\) 2.44541 4.23557i 0.115406 0.199889i −0.802536 0.596604i \(-0.796516\pi\)
0.917942 + 0.396715i \(0.129850\pi\)
\(450\) −10.4671 9.51429i −0.493424 0.448508i
\(451\) −7.37616 8.79056i −0.347330 0.413931i
\(452\) 7.92666 + 6.65126i 0.372839 + 0.312849i
\(453\) −5.70573 + 4.59820i −0.268078 + 0.216042i
\(454\) −1.44986 0.527706i −0.0680453 0.0247665i
\(455\) −2.28954 −0.107335
\(456\) −2.95297 + 6.94838i −0.138286 + 0.325388i
\(457\) −30.3578 −1.42008 −0.710039 0.704162i \(-0.751323\pi\)
−0.710039 + 0.704162i \(0.751323\pi\)
\(458\) 7.68043 + 2.79545i 0.358883 + 0.130623i
\(459\) 3.30815 + 28.6129i 0.154411 + 1.33554i
\(460\) 0.252218 + 0.211636i 0.0117597 + 0.00986757i
\(461\) −16.0576 19.1367i −0.747879 0.891287i 0.249138 0.968468i \(-0.419853\pi\)
−0.997017 + 0.0771808i \(0.975408\pi\)
\(462\) 3.40758 1.16435i 0.158535 0.0541706i
\(463\) −2.94958 + 5.10883i −0.137079 + 0.237427i −0.926390 0.376566i \(-0.877105\pi\)
0.789311 + 0.613994i \(0.210438\pi\)
\(464\) −2.64886 4.58796i −0.122970 0.212990i
\(465\) 3.01033 3.44656i 0.139601 0.159830i
\(466\) −2.87121 7.88859i −0.133006 0.365432i
\(467\) −4.76849 + 2.75309i −0.220659 + 0.127398i −0.606256 0.795270i \(-0.707329\pi\)
0.385596 + 0.922668i \(0.373996\pi\)
\(468\) −7.94733 + 4.17777i −0.367366 + 0.193117i
\(469\) −13.0890 2.30794i −0.604392 0.106571i
\(470\) 5.22969 4.38823i 0.241228 0.202414i
\(471\) 17.2704 + 3.39926i 0.795777 + 0.156630i
\(472\) 0.324588 + 1.84083i 0.0149404 + 0.0847310i
\(473\) 3.16596 8.69840i 0.145571 0.399953i
\(474\) 6.68958 + 12.1356i 0.307262 + 0.557409i
\(475\) −4.23442 + 20.1113i −0.194288 + 0.922770i
\(476\) 7.94354i 0.364091i
\(477\) 4.38087 3.38960i 0.200586 0.155199i
\(478\) 8.65196 1.52557i 0.395731 0.0697781i
\(479\) 21.4896 25.6103i 0.981884 1.17016i −0.00353081 0.999994i \(-0.501124\pi\)
0.985415 0.170170i \(-0.0544317\pi\)
\(480\) 0.862447 + 0.333396i 0.0393652 + 0.0152174i
\(481\) 3.33588 18.9187i 0.152103 0.862618i
\(482\) 11.6386 + 6.71954i 0.530123 + 0.306067i
\(483\) −0.791510 + 1.31029i −0.0360149 + 0.0596204i
\(484\) −8.35867 + 3.04231i −0.379940 + 0.138287i
\(485\) −4.15965 + 1.51399i −0.188880 + 0.0687467i
\(486\) −1.54143 + 15.5121i −0.0699205 + 0.703641i
\(487\) 21.9456 + 12.6703i 0.994448 + 0.574145i 0.906601 0.421989i \(-0.138668\pi\)
0.0878470 + 0.996134i \(0.472001\pi\)
\(488\) 2.04609 11.6039i 0.0926219 0.525285i
\(489\) 6.49770 16.8086i 0.293836 0.760112i
\(490\) 1.69737 2.02285i 0.0766794 0.0913830i
\(491\) −7.76474 + 1.36913i −0.350418 + 0.0617881i −0.346087 0.938202i \(-0.612490\pi\)
−0.00433112 + 0.999991i \(0.501379\pi\)
\(492\) 13.5360 2.11122i 0.610249 0.0951810i
\(493\) 29.3665i 1.32260i
\(494\) 11.0765 + 6.89178i 0.498354 + 0.310076i
\(495\) −1.24056 + 1.96465i −0.0557589 + 0.0883044i
\(496\) 1.69268 4.65059i 0.0760035 0.208818i
\(497\) −3.11645 17.6742i −0.139792 0.792798i
\(498\) 1.65940 8.43079i 0.0743594 0.377793i
\(499\) −9.89069 + 8.29927i −0.442768 + 0.371526i −0.836744 0.547594i \(-0.815544\pi\)
0.393976 + 0.919121i \(0.371099\pi\)
\(500\) 5.10751 + 0.900591i 0.228415 + 0.0402757i
\(501\) 0.816285 41.2026i 0.0364689 1.84080i
\(502\) −6.80388 + 3.92822i −0.303672 + 0.175325i
\(503\) 2.85952 + 7.85647i 0.127500 + 0.350303i 0.986975 0.160875i \(-0.0514316\pi\)
−0.859475 + 0.511178i \(0.829209\pi\)
\(504\) −0.913623 + 4.20084i −0.0406960 + 0.187120i
\(505\) 0.840744 + 1.45621i 0.0374126 + 0.0648006i
\(506\) −0.447396 + 0.774912i −0.0198892 + 0.0344490i
\(507\) −2.26420 6.62637i −0.100556 0.294287i
\(508\) −0.503979 0.600619i −0.0223605 0.0266482i
\(509\) 5.11088 + 4.28853i 0.226536 + 0.190086i 0.748990 0.662581i \(-0.230539\pi\)
−0.522454 + 0.852667i \(0.674984\pi\)
\(510\) −3.21620 3.99087i −0.142416 0.176719i
\(511\) 21.7614 + 7.92049i 0.962666 + 0.350382i
\(512\) 1.00000 0.0441942
\(513\) 20.5764 9.46635i 0.908470 0.417950i
\(514\) 12.2853 0.541884
\(515\) −5.12894 1.86678i −0.226008 0.0822603i
\(516\) 6.93435 + 8.60457i 0.305268 + 0.378795i
\(517\) 14.2127 + 11.9259i 0.625073 + 0.524499i
\(518\) −5.91254 7.04629i −0.259782 0.309596i
\(519\) 14.0315 + 41.0645i 0.615915 + 1.80253i
\(520\) 0.798855 1.38366i 0.0350321 0.0606774i
\(521\) 7.75609 + 13.4339i 0.339800 + 0.588552i 0.984395 0.175973i \(-0.0563071\pi\)
−0.644595 + 0.764525i \(0.722974\pi\)
\(522\) −3.37757 + 15.5301i −0.147832 + 0.679734i
\(523\) −7.60779 20.9022i −0.332666 0.913991i −0.987416 0.158146i \(-0.949448\pi\)
0.654750 0.755845i \(-0.272774\pi\)
\(524\) 9.97575 5.75950i 0.435793 0.251605i
\(525\) −0.231806 + 11.7006i −0.0101169 + 0.510657i
\(526\) 23.4707 + 4.13852i 1.02337 + 0.180448i
\(527\) −21.0155 + 17.6341i −0.915450 + 0.768154i
\(528\) −0.485293 + 2.46559i −0.0211197 + 0.107301i
\(529\) 3.92786 + 22.2760i 0.170776 + 0.968521i
\(530\) −0.337118 + 0.926225i −0.0146435 + 0.0402326i
\(531\) 2.99399 4.74153i 0.129928 0.205765i
\(532\) 5.93693 1.94165i 0.257398 0.0841810i
\(533\) 23.6718i 1.02534i
\(534\) 8.20082 1.27909i 0.354884 0.0553515i
\(535\) 6.10871 1.07713i 0.264103 0.0465684i
\(536\) 5.96171 7.10489i 0.257507 0.306884i
\(537\) 9.70718 25.1111i 0.418896 1.08362i
\(538\) −3.30229 + 18.7282i −0.142372 + 0.807431i
\(539\) 6.21498 + 3.58822i 0.267698 + 0.154556i
\(540\) −1.24184 2.48043i −0.0534404 0.106741i
\(541\) 7.24376 2.63651i 0.311433 0.113352i −0.181575 0.983377i \(-0.558119\pi\)
0.493008 + 0.870025i \(0.335897\pi\)
\(542\) −5.07299 + 1.84642i −0.217904 + 0.0793104i
\(543\) −18.7761 + 31.0825i −0.805758 + 1.33388i
\(544\) −4.80058 2.77162i −0.205823 0.118832i
\(545\) 0.00295864 0.0167793i 0.000126734 0.000718746i
\(546\) 6.92871 + 2.67843i 0.296521 + 0.114626i
\(547\) 18.1301 21.6066i 0.775188 0.923833i −0.223518 0.974700i \(-0.571754\pi\)
0.998705 + 0.0508673i \(0.0161986\pi\)
\(548\) −13.3383 + 2.35190i −0.569784 + 0.100468i
\(549\) −27.9575 + 21.6314i −1.19320 + 0.923207i
\(550\) 6.84064i 0.291686i
\(551\) 21.9482 7.17807i 0.935026 0.305796i
\(552\) −0.515690 0.935520i −0.0219492 0.0398184i
\(553\) 3.92121 10.7734i 0.166747 0.458133i
\(554\) −0.0162172 0.0919724i −0.000689003 0.00390753i
\(555\) 5.82341 + 1.14620i 0.247190 + 0.0486534i
\(556\) −5.54326 + 4.65135i −0.235087 + 0.197261i
\(557\) 30.7949 + 5.42997i 1.30482 + 0.230075i 0.782487 0.622666i \(-0.213951\pi\)
0.522333 + 0.852741i \(0.325062\pi\)
\(558\) −13.1420 + 6.90849i −0.556344 + 0.292460i
\(559\) 16.5369 9.54757i 0.699435 0.403819i
\(560\) −0.261648 0.718871i −0.0110566 0.0303778i
\(561\) 9.16337 10.4912i 0.386878 0.442940i
\(562\) −5.10091 8.83503i −0.215169 0.372683i
\(563\) −4.37942 + 7.58538i −0.184571 + 0.319686i −0.943432 0.331567i \(-0.892423\pi\)
0.758861 + 0.651252i \(0.225756\pi\)
\(564\) −20.9599 + 7.16190i −0.882572 + 0.301570i
\(565\) 3.55073 + 4.23160i 0.149380 + 0.178025i
\(566\) −14.8149 12.4312i −0.622716 0.522521i
\(567\) 10.5050 7.48210i 0.441167 0.314219i
\(568\) 11.7686 + 4.28342i 0.493799 + 0.179728i
\(569\) −39.4950 −1.65572 −0.827859 0.560936i \(-0.810441\pi\)
−0.827859 + 0.560936i \(0.810441\pi\)
\(570\) −2.19660 + 3.37925i −0.0920054 + 0.141541i
\(571\) −1.49689 −0.0626431 −0.0313215 0.999509i \(-0.509972\pi\)
−0.0313215 + 0.999509i \(0.509972\pi\)
\(572\) 4.08022 + 1.48508i 0.170603 + 0.0620942i
\(573\) −2.14967 + 1.73240i −0.0898039 + 0.0723722i
\(574\) −8.68267 7.28562i −0.362408 0.304096i
\(575\) −1.86921 2.22764i −0.0779514 0.0928988i
\(576\) −2.21995 2.01787i −0.0924980 0.0840780i
\(577\) −5.32793 + 9.22825i −0.221805 + 0.384177i −0.955356 0.295457i \(-0.904528\pi\)
0.733551 + 0.679634i \(0.237861\pi\)
\(578\) 6.86373 + 11.8883i 0.285493 + 0.494489i
\(579\) 5.68259 + 4.96335i 0.236160 + 0.206270i
\(580\) −0.967285 2.65759i −0.0401643 0.110351i
\(581\) −6.15662 + 3.55453i −0.255420 + 0.147467i
\(582\) 14.3593 + 0.284478i 0.595210 + 0.0117920i
\(583\) −2.63804 0.465158i −0.109257 0.0192649i
\(584\) −12.3795 + 10.3876i −0.512268 + 0.429844i
\(585\) −4.56546 + 1.45967i −0.188759 + 0.0603497i
\(586\) −2.81056 15.9395i −0.116103 0.658454i
\(587\) 0.0214414 0.0589098i 0.000884983 0.00243147i −0.939249 0.343236i \(-0.888477\pi\)
0.940134 + 0.340804i \(0.110699\pi\)
\(588\) −7.50310 + 4.13596i −0.309423 + 0.170564i
\(589\) 18.3164 + 11.3965i 0.754714 + 0.469584i
\(590\) 0.997875i 0.0410818i
\(591\) −1.75590 11.2579i −0.0722280 0.463087i
\(592\) 6.32132 1.11462i 0.259804 0.0458105i
\(593\) 10.0616 11.9910i 0.413181 0.492409i −0.518811 0.854889i \(-0.673625\pi\)
0.931992 + 0.362479i \(0.118070\pi\)
\(594\) 6.05258 4.49424i 0.248340 0.184401i
\(595\) −0.736374 + 4.17618i −0.0301884 + 0.171207i
\(596\) −17.0772 9.85955i −0.699511 0.403863i
\(597\) 16.1576 + 9.76032i 0.661285 + 0.399463i
\(598\) −1.73451 + 0.631310i −0.0709294 + 0.0258162i
\(599\) −2.10138 + 0.764839i −0.0858600 + 0.0312505i −0.384593 0.923086i \(-0.625658\pi\)
0.298733 + 0.954337i \(0.403436\pi\)
\(600\) −6.99025 4.22261i −0.285376 0.172387i
\(601\) −16.1749 9.33861i −0.659790 0.380930i 0.132407 0.991195i \(-0.457729\pi\)
−0.792197 + 0.610266i \(0.791063\pi\)
\(602\) 1.58767 9.00413i 0.0647086 0.366981i
\(603\) −27.5715 + 3.74254i −1.12280 + 0.152408i
\(604\) −2.71950 + 3.24097i −0.110655 + 0.131873i
\(605\) −4.67646 + 0.824586i −0.190125 + 0.0335242i
\(606\) −0.840744 5.39040i −0.0341529 0.218970i
\(607\) 43.2872i 1.75697i 0.477766 + 0.878487i \(0.341447\pi\)
−0.477766 + 0.878487i \(0.658553\pi\)
\(608\) −0.898071 + 4.26538i −0.0364216 + 0.172984i
\(609\) 11.5155 6.34776i 0.466634 0.257224i
\(610\) 2.15139 5.91090i 0.0871073 0.239325i
\(611\) 6.64602 + 37.6915i 0.268869 + 1.52483i
\(612\) 5.06429 + 15.8398i 0.204712 + 0.640287i
\(613\) −6.84929 + 5.74724i −0.276640 + 0.232129i −0.770542 0.637389i \(-0.780015\pi\)
0.493902 + 0.869518i \(0.335570\pi\)
\(614\) −17.5661 3.09738i −0.708911 0.125000i
\(615\) 7.31203 + 0.144862i 0.294850 + 0.00584140i
\(616\) 1.80051 1.03952i 0.0725446 0.0418836i
\(617\) 8.89796 + 24.4469i 0.358218 + 0.984197i 0.979647 + 0.200726i \(0.0643302\pi\)
−0.621429 + 0.783470i \(0.713448\pi\)
\(618\) 13.3376 + 11.6494i 0.536516 + 0.468610i
\(619\) −9.72654 16.8469i −0.390943 0.677133i 0.601631 0.798774i \(-0.294518\pi\)
−0.992574 + 0.121641i \(0.961184\pi\)
\(620\) 1.32101 2.28806i 0.0530531 0.0918907i
\(621\) −0.742952 + 3.11741i −0.0298136 + 0.125097i
\(622\) −21.0416 25.0764i −0.843692 1.00547i
\(623\) −5.26042 4.41402i −0.210754 0.176844i
\(624\) −4.03620 + 3.25274i −0.161577 + 0.130214i
\(625\) −19.5516 7.11620i −0.782064 0.284648i
\(626\) 26.4219 1.05603
\(627\) −10.0809 4.28423i −0.402591 0.171096i
\(628\) 10.1624 0.405522
\(629\) −33.4353 12.1695i −1.33315 0.485228i
\(630\) −0.869744 + 2.12383i −0.0346514 + 0.0846154i
\(631\) −11.6007 9.73414i −0.461816 0.387510i 0.381982 0.924170i \(-0.375241\pi\)
−0.843799 + 0.536660i \(0.819686\pi\)
\(632\) 5.14263 + 6.12874i 0.204563 + 0.243788i
\(633\) −12.4069 + 4.23937i −0.493130 + 0.168500i
\(634\) 6.70437 11.6123i 0.266265 0.461184i
\(635\) −0.209281 0.362485i −0.00830506 0.0143848i
\(636\) 2.10375 2.40860i 0.0834191 0.0955074i
\(637\) 5.06326 + 13.9112i 0.200614 + 0.551182i
\(638\) 6.65631 3.84302i 0.263526 0.152147i
\(639\) −17.4823 33.2565i −0.691590 1.31561i
\(640\) 0.525734 + 0.0927010i 0.0207814 + 0.00366433i
\(641\) 28.6682 24.0555i 1.13233 0.950135i 0.133166 0.991094i \(-0.457486\pi\)
0.999161 + 0.0409586i \(0.0130412\pi\)
\(642\) −19.7465 3.88663i −0.779334 0.153393i
\(643\) 1.81700 + 10.3047i 0.0716554 + 0.406378i 0.999446 + 0.0332769i \(0.0105943\pi\)
−0.927791 + 0.373101i \(0.878295\pi\)
\(644\) −0.302280 + 0.830508i −0.0119115 + 0.0327266i
\(645\) 2.84797 + 5.16653i 0.112139 + 0.203432i
\(646\) 16.1333 17.9872i 0.634755 0.707697i
\(647\) 15.2706i 0.600348i −0.953884 0.300174i \(-0.902955\pi\)
0.953884 0.300174i \(-0.0970448\pi\)
\(648\) 0.856379 + 8.95916i 0.0336418 + 0.351949i
\(649\) −2.67071 + 0.470919i −0.104835 + 0.0184852i
\(650\) −9.07055 + 10.8099i −0.355776 + 0.423998i
\(651\) 11.4575 + 4.42913i 0.449057 + 0.173591i
\(652\) 1.80669 10.2463i 0.0707555 0.401275i
\(653\) 2.32583 + 1.34282i 0.0910168 + 0.0525486i 0.544818 0.838555i \(-0.316599\pi\)
−0.453801 + 0.891103i \(0.649932\pi\)
\(654\) −0.0285829 + 0.0473171i −0.00111768 + 0.00185024i
\(655\) 5.77850 2.10320i 0.225785 0.0821789i
\(656\) 7.43249 2.70521i 0.290190 0.105621i
\(657\) 48.4429 + 1.92020i 1.88994 + 0.0749142i
\(658\) 15.8705 + 9.16281i 0.618695 + 0.357203i
\(659\) −5.97002 + 33.8577i −0.232559 + 1.31891i 0.615134 + 0.788422i \(0.289102\pi\)
−0.847694 + 0.530486i \(0.822009\pi\)
\(660\) −0.483698 + 1.25126i −0.0188279 + 0.0487051i
\(661\) 11.2236 13.3757i 0.436546 0.520256i −0.502253 0.864721i \(-0.667495\pi\)
0.938799 + 0.344465i \(0.111940\pi\)
\(662\) −24.6137 + 4.34007i −0.956640 + 0.168682i
\(663\) 28.3915 4.42824i 1.10263 0.171979i
\(664\) 4.96091i 0.192521i
\(665\) 3.30123 0.470429i 0.128016 0.0182425i
\(666\) −16.2822 10.2812i −0.630922 0.398389i
\(667\) −1.11750 + 3.07031i −0.0432698 + 0.118883i
\(668\) −4.13162 23.4316i −0.159857 0.906594i
\(669\) 3.85160 19.5686i 0.148912 0.756565i
\(670\) 3.79290 3.18262i 0.146533 0.122955i
\(671\) 16.8352 + 2.96851i 0.649917 + 0.114598i
\(672\) −0.0491635 + 2.48157i −0.00189652 + 0.0957285i
\(673\) −38.2505 + 22.0839i −1.47445 + 0.851273i −0.999586 0.0287864i \(-0.990836\pi\)
−0.474863 + 0.880060i \(0.657502\pi\)
\(674\) −5.70262 15.6678i −0.219657 0.603502i
\(675\) 6.99733 + 23.4794i 0.269328 + 0.903723i
\(676\) −2.02145 3.50126i −0.0777483 0.134664i
\(677\) 9.28464 16.0815i 0.356838 0.618061i −0.630593 0.776114i \(-0.717188\pi\)
0.987431 + 0.158053i \(0.0505216\pi\)
\(678\) −5.79504 16.9597i −0.222557 0.651333i
\(679\) −7.63791 9.10251i −0.293116 0.349322i
\(680\) −2.26690 1.90215i −0.0869315 0.0729442i
\(681\) 1.67690 + 2.08080i 0.0642589 + 0.0797364i
\(682\) 6.74718 + 2.45577i 0.258363 + 0.0940364i
\(683\) 18.9873 0.726527 0.363264 0.931686i \(-0.381662\pi\)
0.363264 + 0.931686i \(0.381662\pi\)
\(684\) 10.6007 7.65675i 0.405327 0.292763i
\(685\) −7.23041 −0.276260
\(686\) 16.0870 + 5.85520i 0.614206 + 0.223553i
\(687\) −8.88312 11.0227i −0.338912 0.420544i
\(688\) 4.88757 + 4.10116i 0.186337 + 0.156355i
\(689\) −3.55195 4.23305i −0.135319 0.161266i
\(690\) −0.184392 0.539639i −0.00701968 0.0205437i
\(691\) 7.53839 13.0569i 0.286774 0.496707i −0.686264 0.727352i \(-0.740751\pi\)
0.973038 + 0.230646i \(0.0740839\pi\)
\(692\) 12.5272 + 21.6978i 0.476213 + 0.824826i
\(693\) −6.09467 1.32550i −0.231518 0.0503517i
\(694\) −12.2473 33.6493i −0.464903 1.27731i
\(695\) −3.34547 + 1.93151i −0.126901 + 0.0732662i
\(696\) −0.181753 + 9.17411i −0.00688931 + 0.347744i
\(697\) −43.1781 7.61346i −1.63549 0.288380i
\(698\) −14.9823 + 12.5717i −0.567089 + 0.475844i
\(699\) −2.80804 + 14.2666i −0.106210 + 0.539613i
\(700\) 1.17329 + 6.65403i 0.0443460 + 0.251499i
\(701\) −4.16179 + 11.4344i −0.157189 + 0.431872i −0.993140 0.116931i \(-0.962694\pi\)
0.835951 + 0.548804i \(0.184917\pi\)
\(702\) 15.5238 + 0.923615i 0.585908 + 0.0348596i
\(703\) −0.922720 + 27.9638i −0.0348010 + 1.05468i
\(704\) 1.45082i 0.0546799i
\(705\) −11.6832 + 1.82224i −0.440017 + 0.0686297i
\(706\) −31.7672 + 5.60142i −1.19558 + 0.210812i
\(707\) −2.90133 + 3.45768i −0.109116 + 0.130039i
\(708\) 1.16737 3.01981i 0.0438723 0.113492i
\(709\) −6.71310 + 38.0719i −0.252116 + 1.42982i 0.551253 + 0.834338i \(0.314150\pi\)
−0.803369 + 0.595481i \(0.796961\pi\)
\(710\) 5.79007 + 3.34290i 0.217297 + 0.125457i
\(711\) 0.950637 23.9827i 0.0356517 0.899421i
\(712\) 4.50300 1.63896i 0.168757 0.0614225i
\(713\) −2.86824 + 1.04395i −0.107417 + 0.0390964i
\(714\) 7.11397 11.7767i 0.266234 0.440732i
\(715\) 2.00744 + 1.15900i 0.0750740 + 0.0433440i
\(716\) 2.69909 15.3073i 0.100870 0.572061i
\(717\) −14.1932 5.48666i −0.530056 0.204903i
\(718\) 11.2586 13.4175i 0.420167 0.500736i
\(719\) 26.0696 4.59678i 0.972233 0.171431i 0.335098 0.942183i \(-0.391231\pi\)
0.637135 + 0.770752i \(0.280119\pi\)
\(720\) −0.980045 1.26666i −0.0365241 0.0472055i
\(721\) 14.6514i 0.545646i
\(722\) −17.3869 7.66123i −0.647075 0.285121i
\(723\) −11.2370 20.3852i −0.417909 0.758134i
\(724\) −7.17064 + 19.7012i −0.266495 + 0.732188i
\(725\) 4.33752 + 24.5993i 0.161091 + 0.913595i
\(726\) 15.1168 + 2.97537i 0.561036 + 0.110426i
\(727\) 23.0429 19.3353i 0.854614 0.717107i −0.106187 0.994346i \(-0.533864\pi\)
0.960801 + 0.277240i \(0.0894196\pi\)
\(728\) 4.22363 + 0.744740i 0.156538 + 0.0276019i
\(729\) 16.1773 21.6170i 0.599160 0.800629i
\(730\) −7.47127 + 4.31354i −0.276524 + 0.159651i
\(731\) −12.0964 33.2345i −0.447400 1.22922i
\(732\) −13.4255 + 15.3710i −0.496221 + 0.568129i
\(733\) 4.85445 + 8.40816i 0.179303 + 0.310563i 0.941642 0.336616i \(-0.109282\pi\)
−0.762339 + 0.647178i \(0.775949\pi\)
\(734\) −10.3438 + 17.9160i −0.381796 + 0.661291i
\(735\) −4.32804 + 1.47887i −0.159642 + 0.0545489i
\(736\) −0.396438 0.472456i −0.0146129 0.0174150i
\(737\) 10.3079 + 8.64938i 0.379697 + 0.318604i
\(738\) −21.9585 8.99239i −0.808305 0.331015i
\(739\) −46.3353 16.8647i −1.70447 0.620377i −0.708150 0.706062i \(-0.750470\pi\)
−0.996322 + 0.0856846i \(0.972692\pi\)
\(740\) 3.42665 0.125966
\(741\) −10.2494 20.1371i −0.376520 0.739756i
\(742\) −2.64586 −0.0971326
\(743\) −6.36036 2.31498i −0.233339 0.0849285i 0.222704 0.974886i \(-0.428512\pi\)
−0.456043 + 0.889958i \(0.650734\pi\)
\(744\) −6.67440 + 5.37884i −0.244695 + 0.197198i
\(745\) −8.06409 6.76658i −0.295445 0.247908i
\(746\) −1.83196 2.18324i −0.0670728 0.0799342i
\(747\) −10.0105 + 11.0130i −0.366264 + 0.402944i
\(748\) 4.02112 6.96479i 0.147027 0.254658i
\(749\) 8.32539 + 14.4200i 0.304203 + 0.526895i
\(750\) −6.76560 5.90929i −0.247045 0.215777i
\(751\) 7.71871 + 21.2070i 0.281660 + 0.773853i 0.997165 + 0.0752462i \(0.0239743\pi\)
−0.715505 + 0.698607i \(0.753804\pi\)
\(752\) −11.0749 + 6.39408i −0.403859 + 0.233168i
\(753\) 13.6051 + 0.269537i 0.495797 + 0.00982247i
\(754\) 15.6143 + 2.75323i 0.568641 + 0.100267i
\(755\) −1.73017 + 1.45179i −0.0629675 + 0.0528360i
\(756\) 5.11663 5.40976i 0.186090 0.196751i
\(757\) −9.07767 51.4820i −0.329933 1.87115i −0.472457 0.881354i \(-0.656633\pi\)
0.142523 0.989791i \(-0.454478\pi\)
\(758\) 5.18667 14.2502i 0.188388 0.517592i
\(759\) 1.35727 0.748174i 0.0492659 0.0271570i
\(760\) −0.867551 + 2.15920i −0.0314694 + 0.0783225i
\(761\) 16.8329i 0.610193i 0.952321 + 0.305097i \(0.0986888\pi\)
−0.952321 + 0.305097i \(0.901311\pi\)
\(762\) 0.209281 + 1.34180i 0.00758145 + 0.0486082i
\(763\) 0.0450412 0.00794198i 0.00163060 0.000287519i
\(764\) −1.02459 + 1.22106i −0.0370684 + 0.0441764i
\(765\) 1.19410 + 8.79699i 0.0431728 + 0.318056i
\(766\) 0.366876 2.08066i 0.0132558 0.0751772i
\(767\) −4.84480 2.79715i −0.174936 0.100999i
\(768\) −1.48255 0.895567i −0.0534970 0.0323160i
\(769\) 2.83204 1.03078i 0.102126 0.0371708i −0.290452 0.956890i \(-0.593806\pi\)
0.392578 + 0.919719i \(0.371583\pi\)
\(770\) 1.04295 0.379604i 0.0375854 0.0136800i
\(771\) −18.2137 11.0024i −0.655949 0.396240i