Properties

Label 648.2.bb.b.131.96
Level $648$
Weight $2$
Character 648.131
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 131.96
Character \(\chi\) \(=\) 648.131
Dual form 648.2.bb.b.371.96

$q$-expansion

\(f(q)\) \(=\) \(q+(1.35894 + 0.391508i) q^{2} +(0.952970 - 1.44632i) q^{3} +(1.69344 + 1.06407i) q^{4} +(0.133242 - 2.28767i) q^{5} +(1.86128 - 1.59237i) q^{6} +(0.141757 + 0.598121i) q^{7} +(1.88470 + 2.10901i) q^{8} +(-1.18370 - 2.75660i) q^{9} +O(q^{10})\) \(q+(1.35894 + 0.391508i) q^{2} +(0.952970 - 1.44632i) q^{3} +(1.69344 + 1.06407i) q^{4} +(0.133242 - 2.28767i) q^{5} +(1.86128 - 1.59237i) q^{6} +(0.141757 + 0.598121i) q^{7} +(1.88470 + 2.10901i) q^{8} +(-1.18370 - 2.75660i) q^{9} +(1.07671 - 3.05664i) q^{10} +(-2.30960 - 3.51157i) q^{11} +(3.15279 - 1.43523i) q^{12} +(0.356940 + 3.05381i) q^{13} +(-0.0415293 + 0.868310i) q^{14} +(-3.18173 - 2.37279i) q^{15} +(1.73550 + 3.60389i) q^{16} +(3.30398 - 3.93753i) q^{17} +(-0.529340 - 4.20949i) q^{18} +(-3.42917 + 2.87742i) q^{19} +(2.65988 - 3.73226i) q^{20} +(1.00017 + 0.364965i) q^{21} +(-1.76380 - 5.67624i) q^{22} +(7.04830 + 1.67048i) q^{23} +(4.84637 - 0.716055i) q^{24} +(-0.249484 - 0.0291605i) q^{25} +(-0.710533 + 4.28970i) q^{26} +(-5.11496 - 0.914957i) q^{27} +(-0.396386 + 1.16372i) q^{28} +(-4.65878 + 6.25782i) q^{29} +(-3.39482 - 4.47016i) q^{30} +(-3.35485 + 1.00438i) q^{31} +(0.947487 + 5.57694i) q^{32} +(-7.27984 - 0.00600242i) q^{33} +(6.03149 - 4.05734i) q^{34} +(1.38719 - 0.244599i) q^{35} +(0.928707 - 5.92769i) q^{36} +(-7.56916 - 1.33465i) q^{37} +(-5.78658 + 2.56769i) q^{38} +(4.75695 + 2.39395i) q^{39} +(5.07583 - 4.03055i) q^{40} +(4.42188 + 1.90741i) q^{41} +(1.21628 + 0.887538i) q^{42} +(6.11067 + 3.06889i) q^{43} +(-0.174603 - 8.40422i) q^{44} +(-6.46391 + 2.34061i) q^{45} +(8.92422 + 5.02955i) q^{46} +(1.04863 - 3.50266i) q^{47} +(6.86627 + 0.924314i) q^{48} +(5.91778 - 2.97202i) q^{49} +(-0.327618 - 0.137302i) q^{50} +(-2.54634 - 8.53097i) q^{51} +(-2.64502 + 5.55127i) q^{52} +(1.52348 - 2.63874i) q^{53} +(-6.59272 - 3.24592i) q^{54} +(-8.34104 + 4.81570i) q^{55} +(-0.994273 + 1.42624i) q^{56} +(0.893773 + 7.70178i) q^{57} +(-8.78099 + 6.68007i) q^{58} +(-7.96843 + 12.1154i) q^{59} +(-2.86326 - 7.40378i) q^{60} +(3.52791 - 3.32841i) q^{61} +(-4.95227 + 0.0514376i) q^{62} +(1.48098 - 1.09876i) q^{63} +(-0.895837 + 7.94968i) q^{64} +(7.03368 - 0.409665i) q^{65} +(-9.89052 - 2.85827i) q^{66} +(-0.454730 - 0.610808i) q^{67} +(9.78492 - 3.15231i) q^{68} +(9.13287 - 8.60220i) q^{69} +(1.98087 + 0.210700i) q^{70} +(-5.34568 + 1.94567i) q^{71} +(3.58280 - 7.69179i) q^{72} +(6.64301 + 2.41786i) q^{73} +(-9.76352 - 4.77709i) q^{74} +(-0.279927 + 0.333045i) q^{75} +(-8.86889 + 1.22385i) q^{76} +(1.77294 - 1.87921i) q^{77} +(5.52717 + 5.11562i) q^{78} +(-12.3624 + 5.33260i) q^{79} +(8.47575 - 3.49006i) q^{80} +(-6.19773 + 6.52596i) q^{81} +(5.26231 + 4.32326i) q^{82} +(6.05040 - 2.60989i) q^{83} +(1.30537 + 1.68230i) q^{84} +(-8.56754 - 8.08306i) q^{85} +(7.10254 + 6.56282i) q^{86} +(4.61115 + 12.7016i) q^{87} +(3.05304 - 11.4892i) q^{88} +(-1.90299 + 5.22841i) q^{89} +(-9.70045 + 0.650075i) q^{90} +(-1.77595 + 0.646393i) q^{91} +(10.1584 + 10.3288i) q^{92} +(-1.74442 + 5.80933i) q^{93} +(2.79634 - 4.34936i) q^{94} +(6.12567 + 8.22821i) q^{95} +(8.96898 + 3.94429i) q^{96} +(-0.401821 - 6.89900i) q^{97} +(9.20548 - 1.72194i) q^{98} +(-6.94615 + 10.5233i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{47}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.35894 + 0.391508i 0.960917 + 0.276838i
\(3\) 0.952970 1.44632i 0.550198 0.835034i
\(4\) 1.69344 + 1.06407i 0.846721 + 0.532036i
\(5\) 0.133242 2.28767i 0.0595874 1.02308i −0.827497 0.561470i \(-0.810236\pi\)
0.887085 0.461607i \(-0.152727\pi\)
\(6\) 1.86128 1.59237i 0.759863 0.650083i
\(7\) 0.141757 + 0.598121i 0.0535792 + 0.226068i 0.993247 0.116020i \(-0.0370138\pi\)
−0.939668 + 0.342089i \(0.888866\pi\)
\(8\) 1.88470 + 2.10901i 0.666341 + 0.745647i
\(9\) −1.18370 2.75660i −0.394565 0.918868i
\(10\) 1.07671 3.05664i 0.340485 0.966595i
\(11\) −2.30960 3.51157i −0.696369 1.05878i −0.994549 0.104268i \(-0.966750\pi\)
0.298180 0.954510i \(-0.403620\pi\)
\(12\) 3.15279 1.43523i 0.910133 0.414316i
\(13\) 0.356940 + 3.05381i 0.0989973 + 0.846976i 0.947931 + 0.318476i \(0.103171\pi\)
−0.848934 + 0.528500i \(0.822755\pi\)
\(14\) −0.0415293 + 0.868310i −0.0110992 + 0.232066i
\(15\) −3.18173 2.37279i −0.821519 0.612652i
\(16\) 1.73550 + 3.60389i 0.433875 + 0.900973i
\(17\) 3.30398 3.93753i 0.801333 0.954991i −0.198351 0.980131i \(-0.563559\pi\)
0.999684 + 0.0251396i \(0.00800304\pi\)
\(18\) −0.529340 4.20949i −0.124767 0.992186i
\(19\) −3.42917 + 2.87742i −0.786706 + 0.660125i −0.944928 0.327279i \(-0.893868\pi\)
0.158221 + 0.987404i \(0.449424\pi\)
\(20\) 2.65988 3.73226i 0.594768 0.834558i
\(21\) 1.00017 + 0.364965i 0.218254 + 0.0796418i
\(22\) −1.76380 5.67624i −0.376043 1.21018i
\(23\) 7.04830 + 1.67048i 1.46967 + 0.348319i 0.886005 0.463675i \(-0.153469\pi\)
0.583667 + 0.811993i \(0.301618\pi\)
\(24\) 4.84637 0.716055i 0.989260 0.146164i
\(25\) −0.249484 0.0291605i −0.0498968 0.00583210i
\(26\) −0.710533 + 4.28970i −0.139347 + 0.841279i
\(27\) −5.11496 0.914957i −0.984375 0.176084i
\(28\) −0.396386 + 1.16372i −0.0749099 + 0.219923i
\(29\) −4.65878 + 6.25782i −0.865113 + 1.16205i 0.120447 + 0.992720i \(0.461567\pi\)
−0.985560 + 0.169329i \(0.945840\pi\)
\(30\) −3.39482 4.47016i −0.619806 0.816135i
\(31\) −3.35485 + 1.00438i −0.602549 + 0.180391i −0.573526 0.819187i \(-0.694425\pi\)
−0.0290230 + 0.999579i \(0.509240\pi\)
\(32\) 0.947487 + 5.57694i 0.167494 + 0.985873i
\(33\) −7.27984 0.00600242i −1.26726 0.00104489i
\(34\) 6.03149 4.05734i 1.03439 0.695828i
\(35\) 1.38719 0.244599i 0.234478 0.0413448i
\(36\) 0.928707 5.92769i 0.154785 0.987948i
\(37\) −7.56916 1.33465i −1.24436 0.219415i −0.487578 0.873079i \(-0.662120\pi\)
−0.756784 + 0.653665i \(0.773231\pi\)
\(38\) −5.78658 + 2.56769i −0.938707 + 0.416535i
\(39\) 4.75695 + 2.39395i 0.761722 + 0.383338i
\(40\) 5.07583 4.03055i 0.802560 0.637287i
\(41\) 4.42188 + 1.90741i 0.690581 + 0.297888i 0.712299 0.701876i \(-0.247654\pi\)
−0.0217173 + 0.999764i \(0.506913\pi\)
\(42\) 1.21628 + 0.887538i 0.187676 + 0.136950i
\(43\) 6.11067 + 3.06889i 0.931868 + 0.468002i 0.848902 0.528551i \(-0.177264\pi\)
0.0829662 + 0.996552i \(0.473561\pi\)
\(44\) −0.174603 8.40422i −0.0263224 1.26698i
\(45\) −6.46391 + 2.34061i −0.963584 + 0.348917i
\(46\) 8.92422 + 5.02955i 1.31580 + 0.741566i
\(47\) 1.04863 3.50266i 0.152958 0.510915i −0.846822 0.531876i \(-0.821487\pi\)
0.999780 + 0.0209608i \(0.00667253\pi\)
\(48\) 6.86627 + 0.924314i 0.991061 + 0.133413i
\(49\) 5.91778 2.97202i 0.845396 0.424574i
\(50\) −0.327618 0.137302i −0.0463321 0.0194175i
\(51\) −2.54634 8.53097i −0.356559 1.19457i
\(52\) −2.64502 + 5.55127i −0.366799 + 0.769823i
\(53\) 1.52348 2.63874i 0.209266 0.362459i −0.742218 0.670159i \(-0.766226\pi\)
0.951483 + 0.307700i \(0.0995593\pi\)
\(54\) −6.59272 3.24592i −0.897156 0.441714i
\(55\) −8.34104 + 4.81570i −1.12471 + 0.649349i
\(56\) −0.994273 + 1.42624i −0.132865 + 0.190590i
\(57\) 0.893773 + 7.70178i 0.118383 + 1.02013i
\(58\) −8.78099 + 6.68007i −1.15300 + 0.877136i
\(59\) −7.96843 + 12.1154i −1.03740 + 1.57729i −0.242879 + 0.970057i \(0.578092\pi\)
−0.794522 + 0.607235i \(0.792279\pi\)
\(60\) −2.86326 7.40378i −0.369645 0.955824i
\(61\) 3.52791 3.32841i 0.451702 0.426159i −0.426472 0.904501i \(-0.640244\pi\)
0.878174 + 0.478342i \(0.158762\pi\)
\(62\) −4.95227 + 0.0514376i −0.628938 + 0.00653259i
\(63\) 1.48098 1.09876i 0.186587 0.138431i
\(64\) −0.895837 + 7.94968i −0.111980 + 0.993710i
\(65\) 7.03368 0.409665i 0.872420 0.0508127i
\(66\) −9.89052 2.85827i −1.21744 0.351829i
\(67\) −0.454730 0.610808i −0.0555541 0.0746221i 0.773478 0.633823i \(-0.218515\pi\)
−0.829032 + 0.559201i \(0.811108\pi\)
\(68\) 9.78492 3.15231i 1.18660 0.382273i
\(69\) 9.13287 8.60220i 1.09947 1.03558i
\(70\) 1.98087 + 0.210700i 0.236760 + 0.0251835i
\(71\) −5.34568 + 1.94567i −0.634415 + 0.230908i −0.639152 0.769081i \(-0.720714\pi\)
0.00473679 + 0.999989i \(0.498492\pi\)
\(72\) 3.58280 7.69179i 0.422237 0.906486i
\(73\) 6.64301 + 2.41786i 0.777506 + 0.282989i 0.700132 0.714013i \(-0.253124\pi\)
0.0773736 + 0.997002i \(0.475347\pi\)
\(74\) −9.76352 4.77709i −1.13499 0.555326i
\(75\) −0.279927 + 0.333045i −0.0323231 + 0.0384568i
\(76\) −8.86889 + 1.22385i −1.01733 + 0.140386i
\(77\) 1.77294 1.87921i 0.202045 0.214156i
\(78\) 5.52717 + 5.11562i 0.625829 + 0.579229i
\(79\) −12.3624 + 5.33260i −1.39087 + 0.599965i −0.954068 0.299591i \(-0.903150\pi\)
−0.436807 + 0.899555i \(0.643891\pi\)
\(80\) 8.47575 3.49006i 0.947618 0.390200i
\(81\) −6.19773 + 6.52596i −0.688637 + 0.725106i
\(82\) 5.26231 + 4.32326i 0.581125 + 0.477424i
\(83\) 6.05040 2.60989i 0.664117 0.286472i −0.0372143 0.999307i \(-0.511848\pi\)
0.701332 + 0.712835i \(0.252589\pi\)
\(84\) 1.30537 + 1.68230i 0.142428 + 0.183554i
\(85\) −8.56754 8.08306i −0.929280 0.876731i
\(86\) 7.10254 + 6.56282i 0.765887 + 0.707687i
\(87\) 4.61115 + 12.7016i 0.494367 + 1.36176i
\(88\) 3.05304 11.4892i 0.325456 1.22475i
\(89\) −1.90299 + 5.22841i −0.201716 + 0.554211i −0.998764 0.0497056i \(-0.984172\pi\)
0.797048 + 0.603916i \(0.206394\pi\)
\(90\) −9.70045 + 0.650075i −1.02252 + 0.0685239i
\(91\) −1.77595 + 0.646393i −0.186170 + 0.0677604i
\(92\) 10.1584 + 10.3288i 1.05908 + 1.07685i
\(93\) −1.74442 + 5.80933i −0.180888 + 0.602400i
\(94\) 2.79634 4.34936i 0.288420 0.448602i
\(95\) 6.12567 + 8.22821i 0.628481 + 0.844196i
\(96\) 8.96898 + 3.94429i 0.915393 + 0.402562i
\(97\) −0.401821 6.89900i −0.0407987 0.700487i −0.955252 0.295795i \(-0.904416\pi\)
0.914453 0.404692i \(-0.132621\pi\)
\(98\) 9.20548 1.72194i 0.929894 0.173942i
\(99\) −6.94615 + 10.5233i −0.698114 + 1.05763i
\(100\) −0.391458 0.314851i −0.0391458 0.0314851i
\(101\) 12.0303 + 12.7514i 1.19706 + 1.26881i 0.954343 + 0.298711i \(0.0965568\pi\)
0.242716 + 0.970097i \(0.421962\pi\)
\(102\) −0.120387 12.5900i −0.0119200 1.24660i
\(103\) 0.528511 0.803562i 0.0520757 0.0791773i −0.808511 0.588480i \(-0.799726\pi\)
0.860587 + 0.509303i \(0.170097\pi\)
\(104\) −5.76780 + 6.50830i −0.565579 + 0.638192i
\(105\) 0.968182 2.23942i 0.0944849 0.218545i
\(106\) 3.10340 2.98944i 0.301429 0.290360i
\(107\) −7.95357 + 4.59200i −0.768901 + 0.443925i −0.832482 0.554052i \(-0.813081\pi\)
0.0635816 + 0.997977i \(0.479748\pi\)
\(108\) −7.68832 6.99212i −0.739809 0.672817i
\(109\) 0.127584 + 0.0736605i 0.0122203 + 0.00705540i 0.506098 0.862476i \(-0.331088\pi\)
−0.493877 + 0.869532i \(0.664421\pi\)
\(110\) −13.2204 + 3.27867i −1.26051 + 0.312609i
\(111\) −9.14352 + 9.67557i −0.867864 + 0.918364i
\(112\) −1.90954 + 1.54892i −0.180435 + 0.146359i
\(113\) −6.94203 13.8227i −0.653051 1.30033i −0.939603 0.342267i \(-0.888805\pi\)
0.286551 0.958065i \(-0.407491\pi\)
\(114\) −1.80073 + 10.8162i −0.168653 + 1.01303i
\(115\) 4.76063 15.9016i 0.443931 1.48283i
\(116\) −14.5482 + 5.63999i −1.35076 + 0.523660i
\(117\) 7.99565 4.59873i 0.739198 0.425152i
\(118\) −15.5719 + 13.3444i −1.43351 + 1.22845i
\(119\) 2.82348 + 1.41801i 0.258828 + 0.129988i
\(120\) −0.992360 11.1823i −0.0905897 1.02080i
\(121\) −2.64001 + 6.12024i −0.240001 + 0.556385i
\(122\) 6.09732 3.14191i 0.552025 0.284455i
\(123\) 6.97265 4.57775i 0.628703 0.412762i
\(124\) −6.74998 1.86895i −0.606166 0.167837i
\(125\) 1.88966 10.7168i 0.169017 0.958541i
\(126\) 2.44274 0.913334i 0.217617 0.0813663i
\(127\) −14.9985 + 2.64465i −1.33090 + 0.234674i −0.793459 0.608624i \(-0.791722\pi\)
−0.537446 + 0.843298i \(0.680611\pi\)
\(128\) −4.32976 + 10.4524i −0.382700 + 0.923873i
\(129\) 10.2619 5.91343i 0.903509 0.520648i
\(130\) 9.71874 + 2.19703i 0.852390 + 0.192692i
\(131\) 0.698480 0.209111i 0.0610264 0.0182701i −0.256144 0.966639i \(-0.582452\pi\)
0.317171 + 0.948368i \(0.397267\pi\)
\(132\) −12.3216 7.75644i −1.07246 0.675112i
\(133\) −2.20715 1.64316i −0.191384 0.142480i
\(134\) −0.378815 1.00808i −0.0327246 0.0870851i
\(135\) −2.77465 + 11.5794i −0.238803 + 0.996599i
\(136\) 14.5313 0.452926i 1.24605 0.0388381i
\(137\) 0.321264 2.74859i 0.0274474 0.234828i −0.972550 0.232693i \(-0.925246\pi\)
0.999998 0.00213492i \(-0.000679566\pi\)
\(138\) 15.7789 8.11429i 1.34319 0.690734i
\(139\) −11.6087 2.75130i −0.984634 0.233362i −0.293397 0.955991i \(-0.594786\pi\)
−0.691237 + 0.722628i \(0.742934\pi\)
\(140\) 2.60940 + 1.06186i 0.220534 + 0.0897433i
\(141\) −4.06666 4.85458i −0.342474 0.408829i
\(142\) −8.02620 + 0.551172i −0.673544 + 0.0462533i
\(143\) 9.89930 8.30650i 0.827821 0.694624i
\(144\) 7.88021 9.04999i 0.656684 0.754166i
\(145\) 13.6951 + 11.4915i 1.13731 + 0.954321i
\(146\) 8.08085 + 5.88652i 0.668776 + 0.487172i
\(147\) 1.34097 11.3913i 0.110601 0.939535i
\(148\) −11.3978 10.3143i −0.936892 0.847829i
\(149\) −18.3326 + 2.14277i −1.50186 + 0.175542i −0.826916 0.562325i \(-0.809907\pi\)
−0.674945 + 0.737868i \(0.735833\pi\)
\(150\) −0.510794 + 0.342996i −0.0417061 + 0.0280055i
\(151\) 3.82175 + 5.81069i 0.311010 + 0.472868i 0.956841 0.290613i \(-0.0938592\pi\)
−0.645831 + 0.763481i \(0.723489\pi\)
\(152\) −12.5315 1.80910i −1.01644 0.146737i
\(153\) −14.7651 4.44693i −1.19369 0.359513i
\(154\) 3.14505 1.85961i 0.253435 0.149852i
\(155\) 1.85067 + 7.80861i 0.148650 + 0.627203i
\(156\) 5.50830 + 9.11575i 0.441017 + 0.729844i
\(157\) 10.1895 + 0.593472i 0.813212 + 0.0473642i 0.459710 0.888069i \(-0.347954\pi\)
0.353503 + 0.935434i \(0.384991\pi\)
\(158\) −18.8875 + 2.40673i −1.50261 + 0.191469i
\(159\) −2.36464 4.71808i −0.187528 0.374168i
\(160\) 12.8844 1.42446i 1.01860 0.112613i
\(161\) 4.45254i 0.350909i
\(162\) −10.9773 + 6.44193i −0.862460 + 0.506126i
\(163\) −23.4122 −1.83379 −0.916893 0.399133i \(-0.869311\pi\)
−0.916893 + 0.399133i \(0.869311\pi\)
\(164\) 5.45857 + 7.93529i 0.426243 + 0.619642i
\(165\) −0.983708 + 16.6531i −0.0765816 + 1.29644i
\(166\) 9.24393 1.17790i 0.717468 0.0914231i
\(167\) −0.308780 + 5.30155i −0.0238941 + 0.410246i 0.965060 + 0.262027i \(0.0843910\pi\)
−0.988955 + 0.148219i \(0.952646\pi\)
\(168\) 1.11529 + 2.79721i 0.0860469 + 0.215809i
\(169\) 3.45120 0.817951i 0.265477 0.0629193i
\(170\) −8.47820 14.3387i −0.650248 1.09972i
\(171\) 11.9910 + 6.04689i 0.916975 + 0.462417i
\(172\) 7.08254 + 11.6992i 0.540039 + 0.892055i
\(173\) 18.2717 12.0175i 1.38917 0.913674i 0.389201 0.921153i \(-0.372751\pi\)
0.999972 + 0.00747892i \(0.00238063\pi\)
\(174\) 1.29350 + 19.0660i 0.0980602 + 1.44539i
\(175\) −0.0179247 0.153355i −0.00135498 0.0115926i
\(176\) 8.64702 14.4179i 0.651794 1.08679i
\(177\) 9.92911 + 23.0705i 0.746317 + 1.73409i
\(178\) −4.63301 + 6.36007i −0.347259 + 0.476708i
\(179\) 16.5125 19.6789i 1.23420 1.47087i 0.402715 0.915326i \(-0.368067\pi\)
0.831489 0.555541i \(-0.187489\pi\)
\(180\) −13.4368 2.91439i −1.00152 0.217226i
\(181\) −7.50412 8.94306i −0.557777 0.664733i 0.411297 0.911501i \(-0.365076\pi\)
−0.969074 + 0.246768i \(0.920631\pi\)
\(182\) −2.66648 + 0.183112i −0.197653 + 0.0135731i
\(183\) −1.45196 8.27436i −0.107332 0.611658i
\(184\) 9.76085 + 18.0133i 0.719580 + 1.32796i
\(185\) −4.06176 + 17.1379i −0.298626 + 1.26000i
\(186\) −4.64497 + 7.21159i −0.340585 + 0.528779i
\(187\) −21.4578 2.50805i −1.56915 0.183407i
\(188\) 5.50287 4.81573i 0.401338 0.351223i
\(189\) −0.177828 3.18907i −0.0129351 0.231971i
\(190\) 5.10302 + 13.5799i 0.370212 + 0.985189i
\(191\) 5.78711 7.77343i 0.418740 0.562466i −0.541835 0.840485i \(-0.682270\pi\)
0.960576 + 0.278019i \(0.0896777\pi\)
\(192\) 10.6441 + 8.87148i 0.768172 + 0.640244i
\(193\) 4.06030 + 13.5623i 0.292267 + 0.976239i 0.970441 + 0.241338i \(0.0775863\pi\)
−0.678174 + 0.734901i \(0.737229\pi\)
\(194\) 2.15496 9.53265i 0.154717 0.684404i
\(195\) 6.11038 10.5634i 0.437573 0.756458i
\(196\) 13.1839 + 1.26400i 0.941704 + 0.0902857i
\(197\) −1.41017 7.99747i −0.100470 0.569796i −0.992933 0.118675i \(-0.962135\pi\)
0.892463 0.451121i \(-0.148976\pi\)
\(198\) −13.5594 + 11.5810i −0.963621 + 0.823028i
\(199\) −18.5252 3.26649i −1.31322 0.231556i −0.527190 0.849747i \(-0.676754\pi\)
−0.786027 + 0.618192i \(0.787866\pi\)
\(200\) −0.408702 0.581123i −0.0288996 0.0410916i
\(201\) −1.31677 + 0.0756037i −0.0928777 + 0.00533267i
\(202\) 11.3562 + 22.0383i 0.799020 + 1.55061i
\(203\) −4.40335 1.89942i −0.309054 0.133313i
\(204\) 4.76549 17.1562i 0.333651 1.20117i
\(205\) 4.95271 9.86165i 0.345912 0.688767i
\(206\) 1.03282 0.885077i 0.0719597 0.0616662i
\(207\) −3.73819 21.4067i −0.259822 1.48787i
\(208\) −10.3862 + 6.58626i −0.720150 + 0.456675i
\(209\) 18.0243 + 5.39611i 1.24676 + 0.373257i
\(210\) 2.19245 2.66419i 0.151294 0.183846i
\(211\) 3.29108 1.65284i 0.226567 0.113786i −0.331895 0.943316i \(-0.607688\pi\)
0.558462 + 0.829530i \(0.311392\pi\)
\(212\) 5.38773 2.84747i 0.370031 0.195565i
\(213\) −2.28021 + 9.58573i −0.156237 + 0.656804i
\(214\) −12.6062 + 3.12637i −0.861745 + 0.213714i
\(215\) 7.83480 13.5703i 0.534329 0.925485i
\(216\) −7.71050 12.5119i −0.524633 0.851328i
\(217\) −1.07631 1.86423i −0.0730648 0.126552i
\(218\) 0.144540 + 0.150050i 0.00978949 + 0.0101627i
\(219\) 9.82760 7.30379i 0.664088 0.493544i
\(220\) −19.2493 0.720358i −1.29779 0.0485665i
\(221\) 13.2038 + 8.68428i 0.888184 + 0.584168i
\(222\) −16.2136 + 9.56877i −1.08818 + 0.642214i
\(223\) −4.94723 + 4.66747i −0.331291 + 0.312557i −0.833855 0.551983i \(-0.813871\pi\)
0.502565 + 0.864540i \(0.332390\pi\)
\(224\) −3.20137 + 1.35728i −0.213901 + 0.0906873i
\(225\) 0.214929 + 0.722246i 0.0143286 + 0.0481497i
\(226\) −4.02211 21.5021i −0.267547 1.43030i
\(227\) −7.36832 + 0.429156i −0.489053 + 0.0284841i −0.300900 0.953656i \(-0.597287\pi\)
−0.188153 + 0.982140i \(0.560250\pi\)
\(228\) −6.68171 + 13.9936i −0.442507 + 0.926747i
\(229\) −1.98845 + 1.48035i −0.131401 + 0.0978241i −0.660852 0.750516i \(-0.729805\pi\)
0.529452 + 0.848340i \(0.322398\pi\)
\(230\) 12.6950 19.7455i 0.837084 1.30198i
\(231\) −1.02838 4.35507i −0.0676624 0.286543i
\(232\) −21.9782 + 1.96870i −1.44294 + 0.129251i
\(233\) −7.84204 21.5458i −0.513749 1.41151i −0.877301 0.479940i \(-0.840659\pi\)
0.363553 0.931574i \(-0.381564\pi\)
\(234\) 12.6661 3.11904i 0.828006 0.203898i
\(235\) −7.87320 2.86561i −0.513591 0.186932i
\(236\) −26.3858 + 12.0378i −1.71757 + 0.783592i
\(237\) −4.06830 + 22.9618i −0.264265 + 1.49153i
\(238\) 3.28178 + 3.03240i 0.212727 + 0.196561i
\(239\) −2.97977 + 3.15837i −0.192745 + 0.204298i −0.816538 0.577292i \(-0.804109\pi\)
0.623793 + 0.781590i \(0.285591\pi\)
\(240\) 3.02940 15.5846i 0.195547 1.00598i
\(241\) 4.68855 + 10.8693i 0.302016 + 0.700153i 0.999871 0.0160873i \(-0.00512095\pi\)
−0.697854 + 0.716240i \(0.745862\pi\)
\(242\) −5.98375 + 7.28346i −0.384650 + 0.468199i
\(243\) 3.53238 + 15.1830i 0.226602 + 0.973987i
\(244\) 9.51598 1.88252i 0.609198 0.120516i
\(245\) −6.01050 13.9339i −0.383997 0.890205i
\(246\) 11.2677 3.49105i 0.718399 0.222581i
\(247\) −10.0111 9.44500i −0.636992 0.600971i
\(248\) −8.44111 5.18246i −0.536011 0.329087i
\(249\) 1.99111 11.2380i 0.126182 0.712177i
\(250\) 6.76366 13.8237i 0.427771 0.874287i
\(251\) −2.18278 + 5.99715i −0.137776 + 0.378537i −0.989323 0.145742i \(-0.953443\pi\)
0.851546 + 0.524279i \(0.175665\pi\)
\(252\) 3.67712 0.284814i 0.231637 0.0179416i
\(253\) −10.4127 28.6087i −0.654642 1.79862i
\(254\) −21.4175 2.27813i −1.34386 0.142942i
\(255\) −19.8553 + 4.68851i −1.24339 + 0.293606i
\(256\) −9.97609 + 12.5091i −0.623506 + 0.781819i
\(257\) 16.0546 11.9522i 1.00146 0.745556i 0.0342141 0.999415i \(-0.489107\pi\)
0.967241 + 0.253859i \(0.0816998\pi\)
\(258\) 16.2605 4.01839i 1.01233 0.250174i
\(259\) −0.274703 4.71647i −0.0170692 0.293067i
\(260\) 12.3470 + 6.79060i 0.765731 + 0.421135i
\(261\) 22.7649 + 5.43505i 1.40911 + 0.336421i
\(262\) 1.03106 0.0107093i 0.0636992 0.000661624i
\(263\) −2.58991 2.74515i −0.159701 0.169273i 0.642582 0.766217i \(-0.277863\pi\)
−0.802283 + 0.596944i \(0.796382\pi\)
\(264\) −13.7076 15.3646i −0.843646 0.945623i
\(265\) −5.83357 3.83680i −0.358354 0.235693i
\(266\) −2.35608 3.09708i −0.144461 0.189894i
\(267\) 5.74848 + 7.73486i 0.351801 + 0.473365i
\(268\) −0.120115 1.51823i −0.00733717 0.0927409i
\(269\) −10.1343 17.5531i −0.617899 1.07023i −0.989868 0.141988i \(-0.954651\pi\)
0.371969 0.928245i \(-0.378683\pi\)
\(270\) −8.30402 + 14.6495i −0.505367 + 0.891539i
\(271\) −5.20710 3.00632i −0.316309 0.182621i 0.333437 0.942772i \(-0.391791\pi\)
−0.649746 + 0.760151i \(0.725125\pi\)
\(272\) 19.9245 + 5.07362i 1.20810 + 0.307633i
\(273\) −0.757536 + 3.18459i −0.0458481 + 0.192740i
\(274\) 1.51267 3.60939i 0.0913839 0.218051i
\(275\) 0.473808 + 0.943430i 0.0285717 + 0.0568910i
\(276\) 24.6194 4.84929i 1.48191 0.291893i
\(277\) 13.3782 + 4.00517i 0.803817 + 0.240647i 0.662251 0.749282i \(-0.269601\pi\)
0.141566 + 0.989929i \(0.454786\pi\)
\(278\) −14.6983 8.28374i −0.881547 0.496826i
\(279\) 6.73979 + 8.05912i 0.403500 + 0.482487i
\(280\) 3.13029 + 2.46460i 0.187071 + 0.147288i
\(281\) −0.777387 + 1.54790i −0.0463750 + 0.0923402i −0.915627 0.402030i \(-0.868305\pi\)
0.869252 + 0.494370i \(0.164601\pi\)
\(282\) −3.62574 8.18922i −0.215910 0.487661i
\(283\) 5.23959 12.1467i 0.311461 0.722048i −0.688534 0.725204i \(-0.741745\pi\)
0.999995 + 0.00315599i \(0.00100458\pi\)
\(284\) −11.1229 2.39331i −0.660024 0.142017i
\(285\) 17.7382 1.01846i 1.05072 0.0603283i
\(286\) 16.7046 7.41239i 0.987765 0.438304i
\(287\) −0.514030 + 2.91521i −0.0303422 + 0.172079i
\(288\) 14.2519 9.21324i 0.839800 0.542896i
\(289\) −1.63584 9.27732i −0.0962259 0.545724i
\(290\) 14.1118 + 20.9781i 0.828673 + 1.23187i
\(291\) −10.3611 5.99338i −0.607378 0.351338i
\(292\) 8.67679 + 11.1632i 0.507771 + 0.653274i
\(293\) 1.38833 + 4.63735i 0.0811072 + 0.270917i 0.988918 0.148463i \(-0.0474326\pi\)
−0.907811 + 0.419380i \(0.862247\pi\)
\(294\) 6.28206 14.9550i 0.366377 0.872196i
\(295\) 26.6543 + 19.8434i 1.55187 + 1.15533i
\(296\) −11.4508 18.4788i −0.665564 1.07406i
\(297\) 8.60056 + 20.0747i 0.499055 + 1.16485i
\(298\) −25.7518 4.26545i −1.49176 0.247091i
\(299\) −2.58551 + 22.1205i −0.149524 + 1.27926i
\(300\) −0.828424 + 0.266131i −0.0478291 + 0.0153651i
\(301\) −0.969337 + 4.08995i −0.0558716 + 0.235741i
\(302\) 2.91861 + 9.39264i 0.167947 + 0.540486i
\(303\) 29.9071 5.24801i 1.71812 0.301490i
\(304\) −16.3212 7.36462i −0.936087 0.422390i
\(305\) −7.14423 8.51416i −0.409078 0.487520i
\(306\) −18.3239 11.8238i −1.04751 0.675920i
\(307\) 17.1552 + 14.3949i 0.979100 + 0.821562i 0.983953 0.178426i \(-0.0571005\pi\)
−0.00485352 + 0.999988i \(0.501545\pi\)
\(308\) 5.00199 1.29579i 0.285015 0.0738346i
\(309\) −0.658554 1.53017i −0.0374638 0.0870482i
\(310\) −0.542175 + 11.3360i −0.0307935 + 0.643841i
\(311\) 31.8529 3.72307i 1.80621 0.211116i 0.854784 0.518984i \(-0.173689\pi\)
0.951429 + 0.307868i \(0.0996154\pi\)
\(312\) 3.91656 + 14.5443i 0.221732 + 0.823410i
\(313\) −8.06516 + 5.30454i −0.455870 + 0.299830i −0.756599 0.653879i \(-0.773140\pi\)
0.300729 + 0.953710i \(0.402770\pi\)
\(314\) 13.6146 + 4.79577i 0.768317 + 0.270641i
\(315\) −2.31627 3.53440i −0.130507 0.199141i
\(316\) −26.6092 4.12400i −1.49689 0.231993i
\(317\) −16.9305 + 4.01261i −0.950914 + 0.225371i −0.676668 0.736289i \(-0.736577\pi\)
−0.274247 + 0.961659i \(0.588428\pi\)
\(318\) −1.36624 7.33737i −0.0766149 0.411459i
\(319\) 32.7347 + 1.90658i 1.83279 + 0.106748i
\(320\) 18.0669 + 3.10861i 1.00997 + 0.173776i
\(321\) −0.938011 + 15.8795i −0.0523547 + 0.886305i
\(322\) −1.74320 + 6.05073i −0.0971449 + 0.337194i
\(323\) 23.0094i 1.28028i
\(324\) −17.4396 + 4.45650i −0.968867 + 0.247583i
\(325\) 0.772287i 0.0428388i
\(326\) −31.8158 9.16607i −1.76212 0.507662i
\(327\) 0.228120 0.114331i 0.0126151 0.00632251i
\(328\) 4.31115 + 12.9207i 0.238043 + 0.713425i
\(329\) 2.24366 + 0.130678i 0.123697 + 0.00720453i
\(330\) −7.85661 + 22.2454i −0.432492 + 1.22457i
\(331\) 3.36705 0.798004i 0.185070 0.0438623i −0.137036 0.990566i \(-0.543758\pi\)
0.322105 + 0.946704i \(0.395609\pi\)
\(332\) 13.0231 + 2.01837i 0.714736 + 0.110772i
\(333\) 5.28049 + 22.4450i 0.289369 + 1.22998i
\(334\) −2.49521 + 7.08360i −0.136532 + 0.387597i
\(335\) −1.45792 + 0.958886i −0.0796544 + 0.0523895i
\(336\) 0.420492 + 4.23789i 0.0229397 + 0.231196i
\(337\) 19.6636 2.29835i 1.07115 0.125199i 0.437803 0.899071i \(-0.355757\pi\)
0.633342 + 0.773872i \(0.281683\pi\)
\(338\) 5.01022 + 0.239627i 0.272520 + 0.0130340i
\(339\) −26.6077 3.13223i −1.44513 0.170119i
\(340\) −5.90768 22.8047i −0.320389 1.23676i
\(341\) 11.2753 + 9.46109i 0.610591 + 0.512347i
\(342\) 13.9277 + 12.9119i 0.753122 + 0.698198i
\(343\) 5.38232 + 6.41440i 0.290618 + 0.346345i
\(344\) 5.04443 + 18.6714i 0.271978 + 1.00669i
\(345\) −18.4621 22.0391i −0.993966 1.18655i
\(346\) 29.5351 9.17755i 1.58782 0.493388i
\(347\) 3.55567 15.0026i 0.190879 0.805380i −0.790370 0.612630i \(-0.790111\pi\)
0.981248 0.192749i \(-0.0617404\pi\)
\(348\) −5.70672 + 26.4161i −0.305912 + 1.41605i
\(349\) 2.07961 17.7922i 0.111319 0.952394i −0.815982 0.578077i \(-0.803803\pi\)
0.927301 0.374317i \(-0.122123\pi\)
\(350\) 0.0356813 0.215419i 0.00190724 0.0115146i
\(351\) 0.968377 15.9467i 0.0516881 0.851174i
\(352\) 17.3955 16.2076i 0.927184 0.863871i
\(353\) 4.50023 + 3.35030i 0.239523 + 0.178318i 0.710227 0.703973i \(-0.248592\pi\)
−0.470703 + 0.882291i \(0.656000\pi\)
\(354\) 4.46077 + 35.2388i 0.237087 + 1.87292i
\(355\) 3.73878 + 12.4884i 0.198434 + 0.662814i
\(356\) −8.78601 + 6.82910i −0.465658 + 0.361942i
\(357\) 4.74159 2.73235i 0.250951 0.144611i
\(358\) 30.1440 20.2776i 1.59316 1.07171i
\(359\) −3.83901 21.7721i −0.202615 1.14909i −0.901148 0.433511i \(-0.857275\pi\)
0.698533 0.715578i \(-0.253836\pi\)
\(360\) −17.1189 9.22112i −0.902244 0.485996i
\(361\) 0.180380 1.02299i 0.00949371 0.0538415i
\(362\) −6.69638 15.0910i −0.351954 0.793167i
\(363\) 6.33598 + 9.65072i 0.332553 + 0.506531i
\(364\) −3.69528 0.795111i −0.193685 0.0416751i
\(365\) 6.41639 14.8749i 0.335849 0.778586i
\(366\) 1.26635 11.8128i 0.0661932 0.617466i
\(367\) 9.08300 18.0857i 0.474129 0.944068i −0.521726 0.853113i \(-0.674712\pi\)
0.995855 0.0909548i \(-0.0289919\pi\)
\(368\) 6.21209 + 28.3004i 0.323827 + 1.47526i
\(369\) 0.0238242 14.4472i 0.00124024 0.752089i
\(370\) −12.2293 + 21.6992i −0.635772 + 1.12809i
\(371\) 1.79425 + 0.537163i 0.0931528 + 0.0278881i
\(372\) −9.13563 + 7.98158i −0.473660 + 0.413826i
\(373\) −6.77882 13.4977i −0.350994 0.698887i 0.646980 0.762507i \(-0.276032\pi\)
−0.997974 + 0.0636203i \(0.979735\pi\)
\(374\) −28.1779 11.8092i −1.45705 0.610639i
\(375\) −13.6992 12.9459i −0.707422 0.668521i
\(376\) 9.36348 4.38988i 0.482884 0.226391i
\(377\) −20.7731 11.9934i −1.06987 0.617690i
\(378\) 1.00689 4.40338i 0.0517887 0.226485i
\(379\) −3.38938 5.87058i −0.174101 0.301551i 0.765749 0.643140i \(-0.222369\pi\)
−0.939850 + 0.341588i \(0.889035\pi\)
\(380\) 1.61807 + 20.4522i 0.0830051 + 1.04917i
\(381\) −10.4681 + 24.2130i −0.536299 + 1.24047i
\(382\) 10.9077 8.29794i 0.558087 0.424560i
\(383\) 20.2937 + 13.3474i 1.03696 + 0.682020i 0.949378 0.314137i \(-0.101715\pi\)
0.0875840 + 0.996157i \(0.472085\pi\)
\(384\) 10.9914 + 16.2231i 0.560905 + 0.827880i
\(385\) −4.06278 4.30629i −0.207058 0.219469i
\(386\) 0.207942 + 20.0201i 0.0105840 + 1.01899i
\(387\) 1.22655 20.4773i 0.0623492 1.04092i
\(388\) 6.66057 12.1106i 0.338139 0.614824i
\(389\) −1.47615 25.3445i −0.0748438 1.28502i −0.801491 0.598007i \(-0.795959\pi\)
0.726647 0.687011i \(-0.241078\pi\)
\(390\) 12.4393 11.9627i 0.629888 0.605756i
\(391\) 29.8650 22.2337i 1.51034 1.12440i
\(392\) 17.4212 + 6.87929i 0.879905 + 0.347457i
\(393\) 0.363188 1.20950i 0.0183204 0.0610114i
\(394\) 1.21474 11.4202i 0.0611975 0.575341i
\(395\) 10.5521 + 28.9915i 0.530931 + 1.45872i
\(396\) −22.9604 + 10.4293i −1.15381 + 0.524094i
\(397\) −6.11861 + 16.8107i −0.307084 + 0.843707i 0.686137 + 0.727472i \(0.259305\pi\)
−0.993222 + 0.116235i \(0.962917\pi\)
\(398\) −23.8958 11.6917i −1.19779 0.586054i
\(399\) −4.47990 + 1.62637i −0.224275 + 0.0814202i
\(400\) −0.327888 0.949722i −0.0163944 0.0474861i
\(401\) −14.2611 13.4547i −0.712167 0.671895i 0.242304 0.970200i \(-0.422097\pi\)
−0.954470 + 0.298306i \(0.903578\pi\)
\(402\) −1.81901 0.412785i −0.0907240 0.0205878i
\(403\) −4.26466 9.88659i −0.212438 0.492486i
\(404\) 6.80424 + 34.3948i 0.338523 + 1.71121i
\(405\) 14.1034 + 15.0479i 0.700805 + 0.747736i
\(406\) −5.24025 4.30515i −0.260069 0.213661i
\(407\) 12.7950 + 29.6621i 0.634224 + 1.47030i
\(408\) 13.1928 21.4485i 0.653141 1.06186i
\(409\) 3.22258 3.41573i 0.159346 0.168897i −0.642782 0.766049i \(-0.722220\pi\)
0.802128 + 0.597152i \(0.203701\pi\)
\(410\) 10.5914 11.4624i 0.523070 0.566086i
\(411\) −3.66919 3.08397i −0.180988 0.152121i
\(412\) 1.75005 0.798412i 0.0862188 0.0393349i
\(413\) −8.37606 3.04864i −0.412159 0.150014i
\(414\) 3.30091 30.5540i 0.162231 1.50165i
\(415\) −5.16439 14.1891i −0.253510 0.696513i
\(416\) −16.6927 + 4.88408i −0.818429 + 0.239462i
\(417\) −15.0420 + 14.1680i −0.736609 + 0.693808i
\(418\) 22.3813 + 14.3896i 1.09470 + 0.703820i
\(419\) 10.3440 7.70079i 0.505335 0.376208i −0.314091 0.949393i \(-0.601700\pi\)
0.819426 + 0.573185i \(0.194292\pi\)
\(420\) 4.02247 2.76211i 0.196276 0.134777i
\(421\) 30.2035 1.75916i 1.47203 0.0857360i 0.696732 0.717332i \(-0.254637\pi\)
0.775298 + 0.631596i \(0.217600\pi\)
\(422\) 5.11949 0.957632i 0.249213 0.0466168i
\(423\) −10.8967 + 1.25543i −0.529815 + 0.0610411i
\(424\) 8.43642 1.76020i 0.409709 0.0854827i
\(425\) −0.939111 + 0.886006i −0.0455536 + 0.0429776i
\(426\) −6.85156 + 12.1337i −0.331959 + 0.587881i
\(427\) 2.49090 + 1.63829i 0.120543 + 0.0792823i
\(428\) −18.3551 0.686894i −0.887229 0.0332023i
\(429\) −2.58013 22.2334i −0.124570 1.07344i
\(430\) 15.9599 15.3738i 0.769655 0.741392i
\(431\) −15.8774 27.5005i −0.764789 1.32465i −0.940358 0.340187i \(-0.889510\pi\)
0.175569 0.984467i \(-0.443824\pi\)
\(432\) −5.57960 20.0217i −0.268449 0.963294i
\(433\) 0.793845 1.37498i 0.0381497 0.0660773i −0.846320 0.532675i \(-0.821187\pi\)
0.884470 + 0.466597i \(0.154520\pi\)
\(434\) −0.732785 2.95476i −0.0351748 0.141833i
\(435\) 29.6715 8.85641i 1.42264 0.424632i
\(436\) 0.137676 + 0.260498i 0.00659347 + 0.0124756i
\(437\) −28.9765 + 14.5525i −1.38613 + 0.696143i
\(438\) 16.2146 6.07784i 0.774765 0.290410i
\(439\) −25.1789 7.53805i −1.20172 0.359772i −0.377484 0.926016i \(-0.623211\pi\)
−0.824237 + 0.566244i \(0.808396\pi\)
\(440\) −25.8767 8.51520i −1.23362 0.405946i
\(441\) −15.1975 12.7950i −0.723691 0.609286i
\(442\) 14.5432 + 16.9708i 0.691751 + 0.807220i
\(443\) −1.00828 + 2.00766i −0.0479050 + 0.0953866i −0.916312 0.400466i \(-0.868848\pi\)
0.868407 + 0.495853i \(0.165144\pi\)
\(444\) −25.7795 + 6.65565i −1.22344 + 0.315863i
\(445\) 11.7073 + 5.05005i 0.554980 + 0.239395i
\(446\) −8.55034 + 4.40594i −0.404871 + 0.208627i
\(447\) −14.3712 + 28.5568i −0.679737 + 1.35069i
\(448\) −4.88186 + 0.591106i −0.230646 + 0.0279271i
\(449\) −21.1516 3.72959i −0.998205 0.176010i −0.349407 0.936971i \(-0.613617\pi\)
−0.648798 + 0.760961i \(0.724728\pi\)
\(450\) 0.00931098 + 1.06564i 0.000438924 + 0.0502346i
\(451\) −3.51474 19.9331i −0.165503 0.938613i
\(452\) 2.95245 30.7948i 0.138871 1.44847i
\(453\) 12.0462 + 0.00993238i 0.565978 + 0.000466664i
\(454\) −10.1811 2.30156i −0.477825 0.108018i
\(455\) 1.24210 + 4.14891i 0.0582307 + 0.194504i
\(456\) −14.5586 + 16.4005i −0.681771 + 0.768024i
\(457\) −18.1927 + 24.4370i −0.851018 + 1.14312i 0.137272 + 0.990533i \(0.456166\pi\)
−0.988291 + 0.152583i \(0.951241\pi\)
\(458\) −3.28176 + 1.23321i −0.153346 + 0.0576241i
\(459\) −20.5024 + 17.1173i −0.956971 + 0.798968i
\(460\) 24.9823 21.8628i 1.16481 1.01936i
\(461\) 21.5568 + 2.51963i 1.00400 + 0.117351i 0.602174 0.798365i \(-0.294302\pi\)
0.401826 + 0.915716i \(0.368376\pi\)
\(462\) 0.307539 6.32091i 0.0143080 0.294075i
\(463\) 0.495943 2.09255i 0.0230484 0.0972490i −0.960305 0.278952i \(-0.910013\pi\)
0.983353 + 0.181703i \(0.0581610\pi\)
\(464\) −30.6378 5.92929i −1.42233 0.275261i
\(465\) 13.0574 + 4.76470i 0.605523 + 0.220958i
\(466\) −2.22151 32.3497i −0.102909 1.49857i
\(467\) 18.7688 + 22.3678i 0.868519 + 1.03506i 0.999048 + 0.0436157i \(0.0138877\pi\)
−0.130530 + 0.991444i \(0.541668\pi\)
\(468\) 18.4336 + 0.720272i 0.852092 + 0.0332946i
\(469\) 0.300876 0.358570i 0.0138931 0.0165572i
\(470\) −9.57730 6.97661i −0.441768 0.321807i
\(471\) 10.5687 14.1718i 0.486978 0.653001i
\(472\) −40.5696 + 6.02838i −1.86737 + 0.277479i
\(473\) −3.33654 28.5459i −0.153414 1.31254i
\(474\) −14.5183 + 29.6109i −0.666848 + 1.36008i
\(475\) 0.939432 0.617874i 0.0431041 0.0283500i
\(476\) 3.27254 + 5.40570i 0.149997 + 0.247770i
\(477\) −9.07729 1.07616i −0.415621 0.0492740i
\(478\) −5.28585 + 3.12543i −0.241769 + 0.142954i
\(479\) 5.43149 1.28729i 0.248171 0.0588176i −0.104647 0.994509i \(-0.533371\pi\)
0.352819 + 0.935692i \(0.385223\pi\)
\(480\) 10.2183 19.9925i 0.466398 0.912529i
\(481\) 1.37403 23.5912i 0.0626504 1.07567i
\(482\) 2.11606 + 16.6063i 0.0963837 + 0.756398i
\(483\) 6.43980 + 4.24313i 0.293021 + 0.193069i
\(484\) −10.9831 + 7.55511i −0.499231 + 0.343414i
\(485\) −15.8362 −0.719083
\(486\) −1.14395 + 22.0157i −0.0518906 + 0.998653i
\(487\) 21.5199i 0.975158i 0.873079 + 0.487579i \(0.162120\pi\)
−0.873079 + 0.487579i \(0.837880\pi\)
\(488\) 13.6687 + 1.16735i 0.618752 + 0.0528433i
\(489\) −22.3111 + 33.8616i −1.00894 + 1.53127i
\(490\) −2.71268 21.2885i −0.122546 0.961717i
\(491\) −12.5340 0.730025i −0.565653 0.0329455i −0.227064 0.973880i \(-0.572913\pi\)
−0.338589 + 0.940934i \(0.609950\pi\)
\(492\) 16.6789 0.332756i 0.751941 0.0150018i
\(493\) 9.24786 + 39.0198i 0.416503 + 1.75736i
\(494\) −9.90672 16.7546i −0.445724 0.753826i
\(495\) 23.1482 + 17.2926i 1.04044 + 0.777246i
\(496\) −9.44200 10.3474i −0.423958 0.464613i
\(497\) −1.92153 2.92155i −0.0861925 0.131049i
\(498\) 7.10556 14.4922i 0.318408 0.649411i
\(499\) 36.5128 4.26773i 1.63454 0.191050i 0.751294 0.659968i \(-0.229430\pi\)
0.883242 + 0.468918i \(0.155356\pi\)
\(500\) 14.6035 16.1376i 0.653088 0.721694i
\(501\) 7.37349 + 5.49881i 0.329423 + 0.245669i
\(502\) −5.31421 + 7.29520i −0.237185 + 0.325601i
\(503\) −4.09051 3.43234i −0.182387 0.153041i 0.547023 0.837117i \(-0.315761\pi\)
−0.729410 + 0.684077i \(0.760205\pi\)
\(504\) 5.10850 + 1.05258i 0.227551 + 0.0468856i
\(505\) 30.7739 25.8223i 1.36942 1.14908i
\(506\) −2.94974 42.9542i −0.131132 1.90955i
\(507\) 2.10588 5.77104i 0.0935252 0.256301i
\(508\) −28.2133 11.4810i −1.25176 0.509386i
\(509\) −20.5547 4.87156i −0.911073 0.215928i −0.251753 0.967791i \(-0.581007\pi\)
−0.659319 + 0.751863i \(0.729155\pi\)
\(510\) −28.8178 1.40211i −1.27607 0.0620863i
\(511\) −0.504477 + 4.31607i −0.0223167 + 0.190932i
\(512\) −18.4543 + 13.0934i −0.815574 + 0.578653i
\(513\) 20.1728 11.5803i 0.890652 0.511285i
\(514\) 26.4966 9.95681i 1.16871 0.439176i
\(515\) −1.76786 1.31613i −0.0779014 0.0579954i
\(516\) 23.6702 + 0.905344i 1.04202 + 0.0398555i
\(517\) −14.7217 + 4.40740i −0.647461 + 0.193837i
\(518\) 1.47323 6.51695i 0.0647300 0.286338i
\(519\) 0.0312324 37.8791i 0.00137095 1.66271i
\(520\) 14.1203 + 14.0620i 0.619218 + 0.616659i
\(521\) −18.1800 + 3.20563i −0.796482 + 0.140441i −0.557058 0.830474i \(-0.688070\pi\)
−0.239424 + 0.970915i \(0.576959\pi\)
\(522\) 28.8083 + 16.2986i 1.26091 + 0.713368i
\(523\) 1.54959 8.78815i 0.0677587 0.384279i −0.932003 0.362451i \(-0.881940\pi\)
0.999762 0.0218283i \(-0.00694870\pi\)
\(524\) 1.40534 + 0.389115i 0.0613928 + 0.0169986i
\(525\) −0.238883 0.120218i −0.0104257 0.00524675i
\(526\) −2.44479 4.74446i −0.106598 0.206868i
\(527\) −7.12960 + 16.5283i −0.310570 + 0.719982i
\(528\) −12.6125 26.2462i −0.548889 1.14222i
\(529\) 26.3345 + 13.2257i 1.14498 + 0.575029i
\(530\) −6.42535 7.49788i −0.279099 0.325687i
\(531\) 42.8296 + 7.62486i 1.85865 + 0.330891i
\(532\) −1.98924 5.13118i −0.0862446 0.222465i
\(533\) −4.24654 + 14.1844i −0.183938 + 0.614396i
\(534\) 4.78359 + 12.7618i 0.207006 + 0.552257i
\(535\) 9.44522 + 18.8070i 0.408353 + 0.813097i
\(536\) 0.431172 2.11022i 0.0186238 0.0911475i
\(537\) −12.7260 42.6358i −0.549168 1.83987i
\(538\) −6.89973 27.8213i −0.297468 1.19946i
\(539\) −24.1041 13.9165i −1.03824 0.599427i
\(540\) −17.0201 + 16.6567i −0.732427 + 0.716790i
\(541\) −17.6823 + 10.2089i −0.760223 + 0.438915i −0.829376 0.558691i \(-0.811304\pi\)
0.0691529 + 0.997606i \(0.477970\pi\)
\(542\) −5.89915 6.12404i −0.253390 0.263050i
\(543\) −20.0858 + 2.33090i −0.861962 + 0.100029i
\(544\) 25.0899 + 14.6953i 1.07572 + 0.630058i
\(545\) 0.185510 0.282055i 0.00794639 0.0120819i
\(546\) −2.27624 + 4.03109i −0.0974140 + 0.172515i
\(547\) 8.06882 + 8.55245i 0.344998 + 0.365676i 0.876518 0.481369i \(-0.159860\pi\)
−0.531520 + 0.847046i \(0.678379\pi\)
\(548\) 3.46874 4.31273i 0.148177 0.184231i
\(549\) −13.3511 5.78522i −0.569810 0.246907i
\(550\) 0.274517 + 1.46757i 0.0117055 + 0.0625772i
\(551\) −2.03062 34.8644i −0.0865074 1.48527i
\(552\) 35.3548 + 3.04877i 1.50480 + 0.129764i
\(553\) −4.94199 6.63825i −0.210155 0.282287i
\(554\) 16.6121 + 10.6805i 0.705781 + 0.453769i
\(555\) 20.9162 + 22.2065i 0.887843 + 0.942615i
\(556\) −16.7310 17.0116i −0.709553 0.721454i
\(557\) −36.4210 + 13.2562i −1.54321 + 0.561682i −0.966812 0.255489i \(-0.917764\pi\)
−0.576396 + 0.817170i \(0.695541\pi\)
\(558\) 6.00377 + 13.5905i 0.254160 + 0.575334i
\(559\) −7.19069 + 19.7563i −0.304134 + 0.835600i
\(560\) 3.28897 + 4.57478i 0.138985 + 0.193320i
\(561\) −24.0761 + 28.6448i −1.01649 + 1.20938i
\(562\) −1.66244 + 1.79916i −0.0701258 + 0.0758929i
\(563\) 27.5078 + 25.9523i 1.15932 + 1.09376i 0.994207 + 0.107484i \(0.0342794\pi\)
0.165110 + 0.986275i \(0.447202\pi\)
\(564\) −1.72103 12.5482i −0.0724684 0.528373i
\(565\) −32.5468 + 14.0393i −1.36925 + 0.590638i
\(566\) 11.8758 14.4554i 0.499179 0.607604i
\(567\) −4.78188 2.78189i −0.200820 0.116828i
\(568\) −14.1784 7.60709i −0.594913 0.319186i
\(569\) −27.3920 + 11.8158i −1.14833 + 0.495343i −0.883259 0.468885i \(-0.844656\pi\)
−0.265075 + 0.964228i \(0.585397\pi\)
\(570\) 24.5039 + 5.56063i 1.02636 + 0.232909i
\(571\) −17.5119 + 18.5616i −0.732851 + 0.776777i −0.981427 0.191836i \(-0.938556\pi\)
0.248576 + 0.968612i \(0.420037\pi\)
\(572\) 25.6026 3.53301i 1.07050 0.147722i
\(573\) −5.72795 15.7779i −0.239288 0.659130i
\(574\) −1.83986 + 3.76035i −0.0767944 + 0.156954i
\(575\) −1.70973 0.622290i −0.0713005 0.0259513i
\(576\) 22.9745 6.94053i 0.957272 0.289189i
\(577\) −41.4001 + 15.0684i −1.72351 + 0.627306i −0.998135 0.0610492i \(-0.980555\pi\)
−0.725374 + 0.688355i \(0.758333\pi\)
\(578\) 1.40913 13.2478i 0.0586121 0.551035i
\(579\) 23.4849 + 7.05201i 0.975998 + 0.293072i
\(580\) 10.9640 + 34.0328i 0.455256 + 1.41314i
\(581\) 2.41871 + 3.24890i 0.100345 + 0.134787i
\(582\) −11.7337 12.2011i −0.486376 0.505752i
\(583\) −12.7847 + 0.744626i −0.529490 + 0.0308393i
\(584\) 7.42078 + 18.5671i 0.307074 + 0.768312i
\(585\) −9.45501 18.9041i −0.390917 0.781590i
\(586\) 0.0711014 + 6.84543i 0.00293717 + 0.282782i
\(587\) −19.6922 + 18.5787i −0.812785 + 0.766823i −0.975535 0.219844i \(-0.929445\pi\)
0.162750 + 0.986667i \(0.447964\pi\)
\(588\) 14.3920 17.8636i 0.593515 0.736680i
\(589\) 8.61435 13.0975i 0.354948 0.539673i
\(590\) 28.4528 + 37.4014i 1.17138 + 1.53979i
\(591\) −12.9108 5.58179i −0.531078 0.229604i
\(592\) −8.32634 29.5947i −0.342210 1.21634i
\(593\) 30.7280 17.7408i 1.26185 0.728529i 0.288417 0.957505i \(-0.406871\pi\)
0.973432 + 0.228976i \(0.0735378\pi\)
\(594\) 3.82824 + 30.6476i 0.157075 + 1.25749i
\(595\) 3.62013 6.27025i 0.148411 0.257055i
\(596\) −33.3252 15.8785i −1.36505 0.650409i
\(597\) −22.3784 + 23.6806i −0.915886 + 0.969180i
\(598\) −12.1739 + 29.0482i −0.497828 + 1.18787i
\(599\) −23.8901 + 11.9981i −0.976123 + 0.490227i −0.864014 0.503468i \(-0.832057\pi\)
−0.112109 + 0.993696i \(0.535761\pi\)
\(600\) −1.22997 + 0.0373219i −0.0502134 + 0.00152366i
\(601\) −1.51186 + 5.04997i −0.0616701 + 0.205992i −0.983272 0.182145i \(-0.941696\pi\)
0.921602 + 0.388137i \(0.126881\pi\)
\(602\) −2.91852 + 5.17850i −0.118950 + 0.211060i
\(603\) −1.14549 + 1.97652i −0.0466481 + 0.0804901i
\(604\) 0.288920 + 13.9067i 0.0117560 + 0.565856i
\(605\) 13.6493 + 6.85495i 0.554924 + 0.278693i
\(606\) 42.6966 + 4.57714i 1.73443 + 0.185933i
\(607\) 23.0741 + 9.95321i 0.936550 + 0.403988i 0.808977 0.587841i \(-0.200022\pi\)
0.127574 + 0.991829i \(0.459281\pi\)
\(608\) −19.2963 16.3980i −0.782568 0.665026i
\(609\) −6.94343 + 4.55857i −0.281362 + 0.184723i
\(610\) −6.37523 14.3673i −0.258125 0.581714i
\(611\) 11.0708 + 1.95207i 0.447875 + 0.0789724i
\(612\) −20.2720 23.2418i −0.819448 0.939493i
\(613\) 29.0108 5.11540i 1.17174 0.206609i 0.446291 0.894888i \(-0.352745\pi\)
0.725446 + 0.688279i \(0.241634\pi\)
\(614\) 17.6772 + 26.2783i 0.713394 + 1.06050i
\(615\) −9.54334 16.5611i −0.384825 0.667807i
\(616\) 7.30472 + 0.197412i 0.294316 + 0.00795396i
\(617\) 29.5685 8.85223i 1.19038 0.356377i 0.370459 0.928849i \(-0.379200\pi\)
0.819925 + 0.572471i \(0.194015\pi\)
\(618\) −0.295863 2.33724i −0.0119014 0.0940174i
\(619\) 3.92634 5.27399i 0.157813 0.211980i −0.716183 0.697912i \(-0.754113\pi\)
0.873996 + 0.485933i \(0.161520\pi\)
\(620\) −5.17492 + 15.1927i −0.207830 + 0.610153i
\(621\) −34.5234 14.9933i −1.38538 0.601661i
\(622\) 44.7439 + 7.41124i 1.79407 + 0.297163i
\(623\) −3.39698 0.397051i −0.136097 0.0159075i
\(624\) −0.371839 + 21.2982i −0.0148855 + 0.852612i
\(625\) −25.4868 6.04048i −1.01947 0.241619i
\(626\) −13.0368 + 4.05098i −0.521057 + 0.161910i
\(627\) 24.9811 20.9266i 0.997649 0.835726i
\(628\) 16.6239 + 11.8474i 0.663365 + 0.472763i
\(629\) −30.2636 + 25.3942i −1.20669 + 1.01253i
\(630\) −1.76393 5.70989i −0.0702767 0.227487i
\(631\) −13.3288 + 15.8846i −0.530610 + 0.632356i −0.963055 0.269304i \(-0.913206\pi\)
0.432445 + 0.901660i \(0.357651\pi\)
\(632\) −34.5458 16.0220i −1.37416 0.637321i
\(633\) 0.745759 6.33508i 0.0296413 0.251797i
\(634\) −24.5786 1.17554i −0.976140 0.0466866i
\(635\) 4.05165 + 34.6641i 0.160785 + 1.37560i
\(636\) 1.01600 10.5059i 0.0402870 0.416588i
\(637\) 11.1883 + 17.0110i 0.443296 + 0.673999i
\(638\) 43.7381 + 15.4068i 1.73161 + 0.609962i
\(639\) 11.6911 + 12.4328i 0.462492 + 0.491835i
\(640\) 23.3348 + 11.2977i 0.922388 + 0.446583i
\(641\) 10.8104 + 45.6126i 0.426984 + 1.80159i 0.581440 + 0.813589i \(0.302489\pi\)
−0.154456 + 0.988000i \(0.549362\pi\)
\(642\) −7.49164 + 21.2120i −0.295671 + 0.837172i
\(643\) −0.746305 + 12.8136i −0.0294314 + 0.505318i 0.951091 + 0.308911i \(0.0999644\pi\)
−0.980522 + 0.196407i \(0.937073\pi\)
\(644\) −4.73782 + 7.54012i −0.186696 + 0.297122i
\(645\) −12.1607 24.2637i −0.478825 0.955383i
\(646\) −9.00837 + 31.2684i −0.354430 + 1.23024i
\(647\) −35.6489 −1.40150 −0.700751 0.713406i \(-0.747151\pi\)
−0.700751 + 0.713406i \(0.747151\pi\)
\(648\) −25.4441 0.771622i −0.999540 0.0303122i
\(649\) 60.9480 2.39242
\(650\) 0.302357 1.04949i 0.0118594 0.0411645i
\(651\) −3.72197 0.219859i −0.145875 0.00861697i
\(652\) −39.6472 24.9123i −1.55271 0.975641i
\(653\) −1.55919 + 26.7703i −0.0610158 + 1.04760i 0.819346 + 0.573299i \(0.194337\pi\)
−0.880362 + 0.474302i \(0.842700\pi\)
\(654\) 0.354764 0.0660581i 0.0138724 0.00258307i
\(655\) −0.385310 1.62575i −0.0150553 0.0635234i
\(656\) 0.800053 + 19.2463i 0.0312368 + 0.751441i
\(657\) −1.19822 21.1742i −0.0467471 0.826083i
\(658\) 2.99784 + 1.05600i 0.116868 + 0.0411670i
\(659\) −18.7477 28.5046i −0.730309 1.11038i −0.989497 0.144553i \(-0.953825\pi\)
0.259188 0.965827i \(-0.416545\pi\)
\(660\) −19.3859 + 27.1543i −0.754596 + 1.05698i
\(661\) −1.53903 13.1673i −0.0598615 0.512147i −0.989591 0.143905i \(-0.954034\pi\)
0.929730 0.368242i \(-0.120040\pi\)
\(662\) 4.88804 + 0.233784i 0.189979 + 0.00908627i
\(663\) 25.1431 10.8211i 0.976477 0.420257i
\(664\) 16.9074 + 7.84150i 0.656136 + 0.304309i
\(665\) −4.05310 + 4.83030i −0.157173 + 0.187311i
\(666\) −1.61153 + 32.5688i −0.0624454 + 1.26201i
\(667\) −43.2900 + 36.3246i −1.67620 + 1.40650i
\(668\) −6.16413 + 8.64930i −0.238497 + 0.334652i
\(669\) 2.03610 + 11.6032i 0.0787203 + 0.448607i
\(670\) −2.35663 + 0.732284i −0.0910447 + 0.0282906i
\(671\) −19.8360 4.70121i −0.765759 0.181488i
\(672\) −1.08774 + 5.92366i −0.0419606 + 0.228510i
\(673\) −25.4278 2.97209i −0.980172 0.114566i −0.389109 0.921192i \(-0.627217\pi\)
−0.591062 + 0.806626i \(0.701291\pi\)
\(674\) 27.6215 + 4.57514i 1.06394 + 0.176228i
\(675\) 1.24942 + 0.377422i 0.0480903 + 0.0145270i
\(676\) 6.71478 + 2.28718i 0.258261 + 0.0879685i
\(677\) −10.6931 + 14.3633i −0.410968 + 0.552026i −0.958623 0.284678i \(-0.908113\pi\)
0.547655 + 0.836704i \(0.315521\pi\)
\(678\) −34.9319 14.6736i −1.34155 0.563537i
\(679\) 4.06947 1.21832i 0.156172 0.0467548i
\(680\) 0.900026 33.3031i 0.0345144 1.27712i
\(681\) −6.40110 + 11.0659i −0.245291 + 0.424048i
\(682\) 11.6184 + 17.2714i 0.444890 + 0.661357i
\(683\) 9.77682 1.72392i 0.374100 0.0659639i 0.0165627 0.999863i \(-0.494728\pi\)
0.357537 + 0.933899i \(0.383617\pi\)
\(684\) 13.8717 + 22.9994i 0.530399 + 0.879402i
\(685\) −6.24505 1.10117i −0.238611 0.0420736i
\(686\) 4.80297 + 10.8240i 0.183378 + 0.413263i
\(687\) 0.246124 + 4.28667i 0.00939020 + 0.163547i
\(688\) −0.454908 + 27.3482i −0.0173432 + 1.04264i
\(689\) 8.60201 + 3.71055i 0.327711 + 0.141361i
\(690\) −16.4604 37.1780i −0.626637 1.41534i
\(691\) −46.9132 23.5607i −1.78466 0.896292i −0.916538 0.399948i \(-0.869028\pi\)
−0.868126 0.496344i \(-0.834675\pi\)
\(692\) 43.7296 0.908510i 1.66235 0.0345364i
\(693\) −7.27885 2.66289i −0.276501 0.101155i
\(694\) 10.7056 18.9955i 0.406378 0.721060i
\(695\) −7.84083 + 26.1902i −0.297420 + 0.993450i
\(696\) −18.0972 + 33.6636i −0.685972 + 1.27602i
\(697\) 22.1203 11.1092i 0.837866 0.420792i
\(698\) 9.79185 23.3644i 0.370627 0.884354i
\(699\) −38.6354 9.19041i −1.46133 0.347613i
\(700\) 0.132827 0.278772i 0.00502038 0.0105366i
\(701\) 6.76080 11.7101i 0.255352 0.442283i −0.709639 0.704565i \(-0.751142\pi\)
0.964991 + 0.262283i \(0.0844753\pi\)
\(702\) 7.55924 21.2916i 0.285305 0.803598i
\(703\) 29.7963 17.2029i 1.12379 0.648820i
\(704\) 29.9849 15.2148i 1.13010 0.573428i
\(705\) −11.6475 + 8.65634i −0.438671 + 0.326017i
\(706\) 4.80388 + 6.31474i 0.180797 + 0.237658i
\(707\) −5.92148 + 9.00317i −0.222700 + 0.338599i
\(708\) −7.73436 + 49.6339i −0.290675 + 1.86536i
\(709\) 35.0031 33.0237i 1.31457 1.24023i 0.363374 0.931643i \(-0.381625\pi\)
0.951195 0.308589i \(-0.0998568\pi\)
\(710\) 0.191476 + 18.4347i 0.00718596 + 0.691843i
\(711\) 29.3331 + 27.7660i 1.10008 + 1.04131i
\(712\) −14.6133 + 5.84056i −0.547658 + 0.218884i
\(713\) −25.3238 + 1.47494i −0.948383 + 0.0552370i
\(714\) 7.51327 1.85673i 0.281177 0.0694863i
\(715\) −17.6835 23.7531i −0.661326 0.888315i
\(716\) 48.9027 15.7545i 1.82758 0.588773i
\(717\) 1.72839 + 7.31953i 0.0645478 + 0.273353i
\(718\) 3.30697 31.0900i 0.123415 1.16027i
\(719\) 19.5375 7.11106i 0.728625 0.265198i 0.0490425 0.998797i \(-0.484383\pi\)
0.679583 + 0.733599i \(0.262161\pi\)
\(720\) −19.6534 19.2331i −0.732440 0.716777i
\(721\) 0.555547 + 0.202203i 0.0206897 + 0.00753042i
\(722\) 0.645635 1.31956i 0.0240280 0.0491090i
\(723\) 20.1885 + 3.57695i 0.750820 + 0.133028i
\(724\) −3.19173 23.1295i −0.118620 0.859601i
\(725\) 1.34477 1.42538i 0.0499436 0.0529371i
\(726\) 4.83190 + 15.5953i 0.179328 + 0.578798i
\(727\) −26.5791 + 11.4651i −0.985765 + 0.425218i −0.827063 0.562109i \(-0.809990\pi\)
−0.158702 + 0.987327i \(0.550731\pi\)
\(728\) −4.71038 2.52724i −0.174578 0.0936658i
\(729\) 25.3257 + 9.35995i 0.937989 + 0.346665i
\(730\) 14.5431 17.7020i 0.538265 0.655180i
\(731\) 32.2734 13.9214i 1.19367 0.514901i
\(732\) 6.34571 15.5572i 0.234544 0.575009i
\(733\) 7.34595 + 6.93054i 0.271329 + 0.255985i 0.809864 0.586617i \(-0.199541\pi\)
−0.538535 + 0.842603i \(0.681022\pi\)
\(734\) 19.4240 21.0214i 0.716952 0.775914i
\(735\) −25.8807 4.58548i −0.954626 0.169138i
\(736\) −2.63798 + 40.8907i −0.0972373 + 1.50725i
\(737\) −1.09465 + 3.00753i −0.0403221 + 0.110784i
\(738\) 5.68856 19.6235i 0.209399 0.722352i
\(739\) −8.29970 + 3.02084i −0.305310 + 0.111124i −0.490132 0.871648i \(-0.663051\pi\)
0.184822 + 0.982772i \(0.440829\pi\)
\(740\) −25.1143 + 24.7001i −0.923221 + 0.907992i
\(741\) −23.2008 + 5.47849i −0.852303 + 0.201257i
\(742\) 2.22798 + 1.43244i 0.0817915 + 0.0525864i
\(743\) −0.247624 0.332617i −0.00908445 0.0122025i 0.797558 0.603243i \(-0.206125\pi\)
−0.806642 + 0.591040i \(0.798718\pi\)
\(744\) −15.5396 + 7.26983i −0.569711 + 0.266525i
\(745\) 2.45929 + 42.2243i 0.0901013 + 1.54698i
\(746\) −3.92755 20.9966i −0.143798 0.768740i
\(747\) −14.3563 13.5892i −0.525268 0.497204i
\(748\) −33.6688 27.0799i −1.23105 0.990138i
\(749\) −3.87404 4.10625i −0.141554 0.150039i
\(750\) −13.5480 22.9560i −0.494701 0.838235i
\(751\) −14.8022 + 22.5056i −0.540140 + 0.821243i −0.997689 0.0679415i \(-0.978357\pi\)
0.457549 + 0.889184i \(0.348727\pi\)
\(752\) 14.4431 2.29972i 0.526685 0.0838620i
\(753\) 6.59368 + 8.87211i 0.240287 + 0.323318i
\(754\) −23.5340 24.4311i −0.857057 0.889730i
\(755\) 13.8022 7.96868i 0.502312 0.290010i
\(756\) 3.09226 5.58973i 0.112464 0.203296i
\(757\) −29.3041 16.9187i −1.06507 0.614921i −0.138243 0.990398i \(-0.544145\pi\)
−0.926832 + 0.375477i \(0.877479\pi\)
\(758\) −2.30759 9.30474i −0.0838155 0.337963i
\(759\) −51.3004 12.2031i −1.86209 0.442945i
\(760\) −5.80833 + 28.4268i −0.210690 + 1.03115i
\(761\) −1.05646 2.10359i −0.0382968 0.0762552i 0.873670 0.486518i \(-0.161733\pi\)
−0.911967 + 0.410263i \(0.865437\pi\)
\(762\) −23.7052 + 28.8057i −0.858748 + 1.04352i
\(763\) −0.0259720 + 0.0867524i −0.000940248 + 0.00314065i
\(764\) 18.0716 7.00596i 0.653809 0.253467i
\(765\) −12.1404 + 33.1852i −0.438938 + 1.19981i
\(766\) 22.3524 + 26.0835i 0.807625 + 0.942435i
\(767\) −39.8425 20.0096i −1.43863 0.722506i
\(768\) 8.58527 + 26.3494i 0.309794 + 0.950804i
\(769\) −5.32502 + 12.3448i −0.192025 + 0.445165i −0.986843 0.161684i \(-0.948307\pi\)
0.794817 + 0.606849i \(0.207567\pi\)
\(770\) −3.83513 7.44260i −0.138208 0.268213i
\(771\) −1.98718 34.6101i −0.0715665 1.24645i
\(772\) −7.55544 + 27.2875i −0.271926 + 0.982099i