Properties

Label 114.2.l.b.41.2
Level $114$
Weight $2$
Character 114.41
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 41.2
Root \(-1.73189 + 0.0237018i\) of defining polynomial
Character \(\chi\) \(=\) 114.41
Dual form 114.2.l.b.89.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.324081 - 1.70146i) q^{3} +(0.173648 + 0.984808i) q^{4} +(2.22841 + 0.392929i) q^{5} +(0.845418 - 1.51171i) q^{6} +(-1.16829 - 2.02354i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.78994 + 1.10282i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-0.324081 - 1.70146i) q^{3} +(0.173648 + 0.984808i) q^{4} +(2.22841 + 0.392929i) q^{5} +(0.845418 - 1.51171i) q^{6} +(-1.16829 - 2.02354i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(-2.78994 + 1.10282i) q^{9} +(1.45449 + 1.73339i) q^{10} +(2.52163 + 1.45586i) q^{11} +(1.61934 - 0.614613i) q^{12} +(-0.451929 + 1.24167i) q^{13} +(0.405743 - 2.30108i) q^{14} +(-0.0536321 - 3.91889i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-3.72112 + 4.43466i) q^{17} +(-2.84610 - 0.948529i) q^{18} +(-1.79800 - 3.97079i) q^{19} +2.26279i q^{20} +(-3.06435 + 2.64359i) q^{21} +(0.995869 + 2.73613i) q^{22} +(-8.06194 + 1.42154i) q^{23} +(1.63555 + 0.570068i) q^{24} +(0.112953 + 0.0411116i) q^{25} +(-1.14432 + 0.660676i) q^{26} +(2.78058 + 4.38958i) q^{27} +(1.78993 - 1.50193i) q^{28} +(1.64718 - 1.38215i) q^{29} +(2.47793 - 3.03652i) q^{30} +(5.27928 - 3.04799i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(1.65988 - 4.76227i) q^{33} +(-5.70108 + 1.00525i) q^{34} +(-1.80832 - 4.96833i) q^{35} +(-1.57054 - 2.55605i) q^{36} +2.98954i q^{37} +(1.17503 - 4.19754i) q^{38} +(2.25911 + 0.366540i) q^{39} +(-1.45449 + 1.73339i) q^{40} +(8.52555 - 3.10304i) q^{41} +(-4.04670 + 0.0553812i) q^{42} +(-0.0666074 + 0.377749i) q^{43} +(-0.995869 + 2.73613i) q^{44} +(-6.65047 + 1.36129i) q^{45} +(-7.08955 - 4.09315i) q^{46} +(6.57494 + 7.83571i) q^{47} +(0.886471 + 1.48801i) q^{48} +(0.770194 - 1.33401i) q^{49} +(0.0601011 + 0.104098i) q^{50} +(8.75134 + 4.89415i) q^{51} +(-1.30128 - 0.229450i) q^{52} +(-0.494197 - 2.80273i) q^{53} +(-0.691519 + 5.14993i) q^{54} +(5.04717 + 4.23508i) q^{55} +2.33658 q^{56} +(-6.17345 + 4.34609i) q^{57} +2.15025 q^{58} +(-2.53779 - 2.12946i) q^{59} +(3.85004 - 0.733326i) q^{60} +(1.01879 + 5.77787i) q^{61} +(6.00337 + 1.05856i) q^{62} +(5.49107 + 4.35714i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-1.49497 + 2.58936i) q^{65} +(4.33267 - 2.58116i) q^{66} +(-10.4361 - 12.4373i) q^{67} +(-5.01345 - 2.89452i) q^{68} +(5.03141 + 13.2564i) q^{69} +(1.80832 - 4.96833i) q^{70} +(2.29622 - 13.0225i) q^{71} +(0.439899 - 2.96757i) q^{72} +(5.84733 - 2.12826i) q^{73} +(-1.92164 + 2.29012i) q^{74} +(0.0333438 - 0.205509i) q^{75} +(3.59825 - 2.46020i) q^{76} -6.80348i q^{77} +(1.49497 + 1.73291i) q^{78} +(1.77569 + 4.87866i) q^{79} +(-2.22841 + 0.392929i) q^{80} +(6.56756 - 6.15363i) q^{81} +(8.52555 + 3.10304i) q^{82} +(-1.62533 + 0.938386i) q^{83} +(-3.13555 - 2.55874i) q^{84} +(-10.0347 + 8.42009i) q^{85} +(-0.293837 + 0.246558i) q^{86} +(-2.88550 - 2.35469i) q^{87} +(-2.52163 + 1.45586i) q^{88} +(-5.82289 - 2.11936i) q^{89} +(-5.96957 - 3.23203i) q^{90} +(3.04054 - 0.536130i) q^{91} +(-2.79988 - 7.69261i) q^{92} +(-6.89696 - 7.99469i) q^{93} +10.2288i q^{94} +(-2.44644 - 9.55504i) q^{95} +(-0.277398 + 1.70969i) q^{96} +(6.13336 - 7.30946i) q^{97} +(1.44749 - 0.526843i) q^{98} +(-8.64076 - 1.28086i) 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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −0.324081 1.70146i −0.187108 0.982339i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) 2.22841 + 0.392929i 0.996575 + 0.175723i 0.648067 0.761583i \(-0.275577\pi\)
0.348508 + 0.937306i \(0.386689\pi\)
\(6\) 0.845418 1.51171i 0.345140 0.617153i
\(7\) −1.16829 2.02354i −0.441572 0.764826i 0.556234 0.831026i \(-0.312246\pi\)
−0.997806 + 0.0661999i \(0.978912\pi\)
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) −2.78994 + 1.10282i −0.929981 + 0.367608i
\(10\) 1.45449 + 1.73339i 0.459950 + 0.548148i
\(11\) 2.52163 + 1.45586i 0.760299 + 0.438959i 0.829403 0.558650i \(-0.188681\pi\)
−0.0691039 + 0.997609i \(0.522014\pi\)
\(12\) 1.61934 0.614613i 0.467462 0.177424i
\(13\) −0.451929 + 1.24167i −0.125343 + 0.344376i −0.986453 0.164041i \(-0.947547\pi\)
0.861111 + 0.508417i \(0.169769\pi\)
\(14\) 0.405743 2.30108i 0.108439 0.614990i
\(15\) −0.0536321 3.91889i −0.0138478 1.01185i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −3.72112 + 4.43466i −0.902504 + 1.07556i 0.0942898 + 0.995545i \(0.469942\pi\)
−0.996793 + 0.0800172i \(0.974502\pi\)
\(18\) −2.84610 0.948529i −0.670832 0.223571i
\(19\) −1.79800 3.97079i −0.412489 0.910962i
\(20\) 2.26279i 0.505974i
\(21\) −3.06435 + 2.64359i −0.668697 + 0.576879i
\(22\) 0.995869 + 2.73613i 0.212320 + 0.583344i
\(23\) −8.06194 + 1.42154i −1.68103 + 0.296411i −0.931007 0.365001i \(-0.881069\pi\)
−0.750023 + 0.661412i \(0.769958\pi\)
\(24\) 1.63555 + 0.570068i 0.333855 + 0.116365i
\(25\) 0.112953 + 0.0411116i 0.0225906 + 0.00822231i
\(26\) −1.14432 + 0.660676i −0.224421 + 0.129569i
\(27\) 2.78058 + 4.38958i 0.535123 + 0.844774i
\(28\) 1.78993 1.50193i 0.338264 0.283837i
\(29\) 1.64718 1.38215i 0.305875 0.256659i −0.476910 0.878952i \(-0.658243\pi\)
0.782784 + 0.622293i \(0.213799\pi\)
\(30\) 2.47793 3.03652i 0.452406 0.554390i
\(31\) 5.27928 3.04799i 0.948186 0.547436i 0.0556692 0.998449i \(-0.482271\pi\)
0.892517 + 0.451014i \(0.148937\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 1.65988 4.76227i 0.288948 0.829005i
\(34\) −5.70108 + 1.00525i −0.977728 + 0.172400i
\(35\) −1.80832 4.96833i −0.305662 0.839801i
\(36\) −1.57054 2.55605i −0.261756 0.426009i
\(37\) 2.98954i 0.491477i 0.969336 + 0.245738i \(0.0790304\pi\)
−0.969336 + 0.245738i \(0.920970\pi\)
\(38\) 1.17503 4.19754i 0.190615 0.680930i
\(39\) 2.25911 + 0.366540i 0.361747 + 0.0586934i
\(40\) −1.45449 + 1.73339i −0.229975 + 0.274074i
\(41\) 8.52555 3.10304i 1.33147 0.484614i 0.424352 0.905497i \(-0.360502\pi\)
0.907115 + 0.420883i \(0.138280\pi\)
\(42\) −4.04670 + 0.0553812i −0.624419 + 0.00854550i
\(43\) −0.0666074 + 0.377749i −0.0101575 + 0.0576062i −0.989465 0.144771i \(-0.953756\pi\)
0.979308 + 0.202377i \(0.0648666\pi\)
\(44\) −0.995869 + 2.73613i −0.150133 + 0.412487i
\(45\) −6.65047 + 1.36129i −0.991393 + 0.202929i
\(46\) −7.08955 4.09315i −1.04530 0.603502i
\(47\) 6.57494 + 7.83571i 0.959054 + 1.14296i 0.989661 + 0.143424i \(0.0458113\pi\)
−0.0306076 + 0.999531i \(0.509744\pi\)
\(48\) 0.886471 + 1.48801i 0.127951 + 0.214776i
\(49\) 0.770194 1.33401i 0.110028 0.190574i
\(50\) 0.0601011 + 0.104098i 0.00849958 + 0.0147217i
\(51\) 8.75134 + 4.89415i 1.22543 + 0.685318i
\(52\) −1.30128 0.229450i −0.180455 0.0318191i
\(53\) −0.494197 2.80273i −0.0678832 0.384985i −0.999754 0.0221937i \(-0.992935\pi\)
0.931870 0.362791i \(-0.118176\pi\)
\(54\) −0.691519 + 5.14993i −0.0941038 + 0.700817i
\(55\) 5.04717 + 4.23508i 0.680560 + 0.571058i
\(56\) 2.33658 0.312239
\(57\) −6.17345 + 4.34609i −0.817694 + 0.575653i
\(58\) 2.15025 0.282341
\(59\) −2.53779 2.12946i −0.330392 0.277232i 0.462468 0.886636i \(-0.346964\pi\)
−0.792860 + 0.609404i \(0.791409\pi\)
\(60\) 3.85004 0.733326i 0.497039 0.0946720i
\(61\) 1.01879 + 5.77787i 0.130443 + 0.739780i 0.977925 + 0.208956i \(0.0670064\pi\)
−0.847482 + 0.530824i \(0.821882\pi\)
\(62\) 6.00337 + 1.05856i 0.762429 + 0.134437i
\(63\) 5.49107 + 4.35714i 0.691810 + 0.548948i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −1.49497 + 2.58936i −0.185428 + 0.321171i
\(66\) 4.33267 2.58116i 0.533315 0.317719i
\(67\) −10.4361 12.4373i −1.27497 1.51945i −0.735668 0.677342i \(-0.763132\pi\)
−0.539305 0.842111i \(-0.681313\pi\)
\(68\) −5.01345 2.89452i −0.607970 0.351012i
\(69\) 5.03141 + 13.2564i 0.605711 + 1.59588i
\(70\) 1.80832 4.96833i 0.216136 0.593829i
\(71\) 2.29622 13.0225i 0.272511 1.54549i −0.474247 0.880392i \(-0.657280\pi\)
0.746758 0.665095i \(-0.231609\pi\)
\(72\) 0.439899 2.96757i 0.0518426 0.349732i
\(73\) 5.84733 2.12826i 0.684379 0.249093i 0.0236522 0.999720i \(-0.492471\pi\)
0.660726 + 0.750627i \(0.270248\pi\)
\(74\) −1.92164 + 2.29012i −0.223386 + 0.266221i
\(75\) 0.0333438 0.205509i 0.00385021 0.0237301i
\(76\) 3.59825 2.46020i 0.412747 0.282205i
\(77\) 6.80348i 0.775329i
\(78\) 1.49497 + 1.73291i 0.169272 + 0.196214i
\(79\) 1.77569 + 4.87866i 0.199781 + 0.548893i 0.998612 0.0526618i \(-0.0167705\pi\)
−0.798832 + 0.601554i \(0.794548\pi\)
\(80\) −2.22841 + 0.392929i −0.249144 + 0.0439308i
\(81\) 6.56756 6.15363i 0.729729 0.683736i
\(82\) 8.52555 + 3.10304i 0.941489 + 0.342674i
\(83\) −1.62533 + 0.938386i −0.178403 + 0.103001i −0.586542 0.809919i \(-0.699511\pi\)
0.408139 + 0.912920i \(0.366178\pi\)
\(84\) −3.13555 2.55874i −0.342116 0.279182i
\(85\) −10.0347 + 8.42009i −1.08841 + 0.913288i
\(86\) −0.293837 + 0.246558i −0.0316852 + 0.0265871i
\(87\) −2.88550 2.35469i −0.309358 0.252450i
\(88\) −2.52163 + 1.45586i −0.268806 + 0.155195i
\(89\) −5.82289 2.11936i −0.617225 0.224651i 0.0144367 0.999896i \(-0.495405\pi\)
−0.631661 + 0.775244i \(0.717627\pi\)
\(90\) −5.96957 3.23203i −0.629248 0.340686i
\(91\) 3.04054 0.536130i 0.318735 0.0562017i
\(92\) −2.79988 7.69261i −0.291908 0.802010i
\(93\) −6.89696 7.99469i −0.715181 0.829011i
\(94\) 10.2288i 1.05502i
\(95\) −2.44644 9.55504i −0.251000 0.980326i
\(96\) −0.277398 + 1.70969i −0.0283118 + 0.174495i
\(97\) 6.13336 7.30946i 0.622748 0.742163i −0.358792 0.933418i \(-0.616811\pi\)
0.981540 + 0.191255i \(0.0612557\pi\)
\(98\) 1.44749 0.526843i 0.146219 0.0532192i
\(99\) −8.64076 1.28086i −0.868429 0.128732i
\(100\) −0.0208729 + 0.118376i −0.00208729 + 0.0118376i
\(101\) −4.28105 + 11.7621i −0.425980 + 1.17037i 0.522251 + 0.852792i \(0.325092\pi\)
−0.948232 + 0.317580i \(0.897130\pi\)
\(102\) 3.55802 + 9.37439i 0.352296 + 0.928203i
\(103\) 7.59279 + 4.38370i 0.748140 + 0.431939i 0.825021 0.565102i \(-0.191163\pi\)
−0.0768818 + 0.997040i \(0.524496\pi\)
\(104\) −0.849349 1.01221i −0.0832855 0.0992558i
\(105\) −7.86738 + 4.68693i −0.767777 + 0.457398i
\(106\) 1.42298 2.46468i 0.138212 0.239391i
\(107\) 4.04583 + 7.00758i 0.391125 + 0.677449i 0.992598 0.121444i \(-0.0387526\pi\)
−0.601473 + 0.798893i \(0.705419\pi\)
\(108\) −3.84005 + 3.50058i −0.369509 + 0.336843i
\(109\) 7.26213 + 1.28051i 0.695586 + 0.122651i 0.510252 0.860025i \(-0.329552\pi\)
0.185334 + 0.982676i \(0.440663\pi\)
\(110\) 1.14410 + 6.48852i 0.109086 + 0.618656i
\(111\) 5.08658 0.968852i 0.482797 0.0919594i
\(112\) 1.78993 + 1.50193i 0.169132 + 0.141919i
\(113\) −14.8779 −1.39960 −0.699799 0.714340i \(-0.746727\pi\)
−0.699799 + 0.714340i \(0.746727\pi\)
\(114\) −7.52275 0.638925i −0.704570 0.0598408i
\(115\) −18.5239 −1.72736
\(116\) 1.64718 + 1.38215i 0.152937 + 0.128330i
\(117\) −0.108480 3.96257i −0.0100290 0.366340i
\(118\) −0.575270 3.26252i −0.0529579 0.300339i
\(119\) 13.3210 + 2.34886i 1.22114 + 0.215320i
\(120\) 3.42068 + 1.91300i 0.312264 + 0.174632i
\(121\) −1.26093 2.18399i −0.114630 0.198545i
\(122\) −2.93350 + 5.08097i −0.265587 + 0.460009i
\(123\) −8.04268 13.5002i −0.725184 1.21728i
\(124\) 3.91842 + 4.66980i 0.351885 + 0.419360i
\(125\) −9.56260 5.52097i −0.855305 0.493811i
\(126\) 1.40569 + 6.86735i 0.125229 + 0.611793i
\(127\) −2.54056 + 6.98012i −0.225438 + 0.619386i −0.999913 0.0132192i \(-0.995792\pi\)
0.774475 + 0.632605i \(0.218014\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) 0.664312 0.00909146i 0.0584894 0.000800458i
\(130\) −2.80962 + 1.02262i −0.246420 + 0.0896896i
\(131\) −11.4406 + 13.6344i −0.999574 + 1.19125i −0.0180637 + 0.999837i \(0.505750\pi\)
−0.981510 + 0.191409i \(0.938694\pi\)
\(132\) 4.97816 + 0.807705i 0.433293 + 0.0703017i
\(133\) −5.93447 + 8.27736i −0.514584 + 0.717738i
\(134\) 16.2357i 1.40255i
\(135\) 4.47148 + 10.8743i 0.384843 + 0.935915i
\(136\) −1.97997 5.43991i −0.169781 0.466468i
\(137\) 16.1747 2.85204i 1.38190 0.243666i 0.567215 0.823570i \(-0.308021\pi\)
0.814685 + 0.579904i \(0.196910\pi\)
\(138\) −4.66675 + 13.3891i −0.397261 + 1.13976i
\(139\) −18.1680 6.61260i −1.54099 0.560873i −0.574705 0.818360i \(-0.694883\pi\)
−0.966282 + 0.257487i \(0.917106\pi\)
\(140\) 4.57884 2.64359i 0.386982 0.223424i
\(141\) 11.2013 13.7264i 0.943323 1.15597i
\(142\) 10.1297 8.49984i 0.850067 0.713290i
\(143\) −2.94729 + 2.47307i −0.246465 + 0.206809i
\(144\) 2.24450 1.99053i 0.187042 0.165878i
\(145\) 4.21369 2.43277i 0.349928 0.202031i
\(146\) 5.84733 + 2.12826i 0.483929 + 0.176136i
\(147\) −2.51938 0.878126i −0.207795 0.0724266i
\(148\) −2.94412 + 0.519128i −0.242005 + 0.0426720i
\(149\) −2.20295 6.05256i −0.180473 0.495845i 0.816161 0.577824i \(-0.196098\pi\)
−0.996634 + 0.0819794i \(0.973876\pi\)
\(150\) 0.157641 0.135996i 0.0128714 0.0111040i
\(151\) 3.02833i 0.246442i −0.992379 0.123221i \(-0.960678\pi\)
0.992379 0.123221i \(-0.0393223\pi\)
\(152\) 4.33781 + 0.428283i 0.351843 + 0.0347384i
\(153\) 5.49107 16.4762i 0.443926 1.33202i
\(154\) 4.37319 5.21177i 0.352402 0.419976i
\(155\) 12.9620 4.71780i 1.04114 0.378942i
\(156\) 0.0313184 + 2.28844i 0.00250748 + 0.183221i
\(157\) 3.32082 18.8333i 0.265030 1.50306i −0.503918 0.863751i \(-0.668109\pi\)
0.768949 0.639311i \(-0.220780\pi\)
\(158\) −1.77569 + 4.87866i −0.141266 + 0.388126i
\(159\) −4.60858 + 1.74917i −0.365484 + 0.138718i
\(160\) −1.95963 1.13139i −0.154922 0.0894445i
\(161\) 12.2952 + 14.6529i 0.968999 + 1.15481i
\(162\) 8.98652 0.492402i 0.706048 0.0386868i
\(163\) −3.09435 + 5.35958i −0.242368 + 0.419794i −0.961388 0.275195i \(-0.911258\pi\)
0.719020 + 0.694989i \(0.244591\pi\)
\(164\) 4.53635 + 7.85718i 0.354229 + 0.613543i
\(165\) 5.57013 9.96007i 0.433634 0.775391i
\(166\) −1.84826 0.325898i −0.143453 0.0252946i
\(167\) 0.758731 + 4.30298i 0.0587124 + 0.332975i 0.999989 0.00466148i \(-0.00148380\pi\)
−0.941277 + 0.337636i \(0.890373\pi\)
\(168\) −0.757242 3.97560i −0.0584225 0.306724i
\(169\) 8.62108 + 7.23395i 0.663160 + 0.556458i
\(170\) −13.0993 −1.00467
\(171\) 9.39540 + 9.09541i 0.718484 + 0.695543i
\(172\) −0.383577 −0.0292474
\(173\) 11.4117 + 9.57556i 0.867616 + 0.728016i 0.963595 0.267367i \(-0.0861536\pi\)
−0.0959786 + 0.995383i \(0.530598\pi\)
\(174\) −0.696854 3.65856i −0.0528284 0.277355i
\(175\) −0.0487712 0.276595i −0.00368676 0.0209086i
\(176\) −2.86749 0.505616i −0.216145 0.0381122i
\(177\) −2.80074 + 5.00807i −0.210517 + 0.376429i
\(178\) −3.09829 5.36640i −0.232227 0.402229i
\(179\) 1.68012 2.91005i 0.125578 0.217507i −0.796381 0.604796i \(-0.793255\pi\)
0.921959 + 0.387288i \(0.126588\pi\)
\(180\) −2.49545 6.31304i −0.186000 0.470547i
\(181\) 12.7706 + 15.2194i 0.949231 + 1.13125i 0.991232 + 0.132132i \(0.0421822\pi\)
−0.0420013 + 0.999118i \(0.513373\pi\)
\(182\) 2.67381 + 1.54372i 0.198196 + 0.114428i
\(183\) 9.50065 3.60593i 0.702308 0.266558i
\(184\) 2.79988 7.69261i 0.206410 0.567107i
\(185\) −1.17467 + 6.66191i −0.0863638 + 0.489794i
\(186\) −0.144486 10.5576i −0.0105942 0.774118i
\(187\) −15.8395 + 5.76511i −1.15830 + 0.421587i
\(188\) −6.57494 + 7.83571i −0.479527 + 0.571478i
\(189\) 5.63396 10.7549i 0.409810 0.782305i
\(190\) 4.26778 8.89213i 0.309617 0.645103i
\(191\) 10.2346i 0.740548i 0.928923 + 0.370274i \(0.120736\pi\)
−0.928923 + 0.370274i \(0.879264\pi\)
\(192\) −1.31147 + 1.13139i −0.0946471 + 0.0816513i
\(193\) −0.784644 2.15579i −0.0564799 0.155177i 0.908244 0.418441i \(-0.137423\pi\)
−0.964724 + 0.263264i \(0.915201\pi\)
\(194\) 9.39685 1.65692i 0.674655 0.118960i
\(195\) 4.89019 + 1.70447i 0.350194 + 0.122060i
\(196\) 1.44749 + 0.526843i 0.103392 + 0.0376317i
\(197\) 5.46822 3.15708i 0.389595 0.224933i −0.292390 0.956299i \(-0.594450\pi\)
0.681984 + 0.731367i \(0.261117\pi\)
\(198\) −5.79588 6.53537i −0.411895 0.464449i
\(199\) −7.96251 + 6.68134i −0.564447 + 0.473628i −0.879798 0.475348i \(-0.842322\pi\)
0.315351 + 0.948975i \(0.397878\pi\)
\(200\) −0.0920802 + 0.0772645i −0.00651105 + 0.00546342i
\(201\) −17.7794 + 21.7873i −1.25406 + 1.53676i
\(202\) −10.8400 + 6.25847i −0.762699 + 0.440345i
\(203\) −4.72123 1.71839i −0.331365 0.120607i
\(204\) −3.30014 + 9.46825i −0.231056 + 0.662910i
\(205\) 20.2177 3.56492i 1.41206 0.248985i
\(206\) 2.99863 + 8.23866i 0.208924 + 0.574014i
\(207\) 20.9246 12.8569i 1.45436 0.893616i
\(208\) 1.32135i 0.0916193i
\(209\) 1.24704 12.6305i 0.0862598 0.873670i
\(210\) −9.03946 1.46665i −0.623782 0.101209i
\(211\) −3.58388 + 4.27111i −0.246725 + 0.294035i −0.875167 0.483821i \(-0.839248\pi\)
0.628442 + 0.777856i \(0.283693\pi\)
\(212\) 2.67434 0.973379i 0.183674 0.0668519i
\(213\) −22.9015 + 0.313418i −1.56918 + 0.0214751i
\(214\) −1.40510 + 7.96873i −0.0960508 + 0.544731i
\(215\) −0.296857 + 0.815608i −0.0202455 + 0.0556240i
\(216\) −5.19177 + 0.213263i −0.353255 + 0.0145107i
\(217\) −12.3355 7.12188i −0.837386 0.483465i
\(218\) 4.74002 + 5.64893i 0.321034 + 0.382594i
\(219\) −5.51615 9.25929i −0.372747 0.625685i
\(220\) −3.29431 + 5.70590i −0.222102 + 0.384692i
\(221\) −3.82468 6.62453i −0.257276 0.445614i
\(222\) 4.51931 + 2.52741i 0.303316 + 0.169629i
\(223\) 5.10735 + 0.900564i 0.342014 + 0.0603062i 0.342017 0.939694i \(-0.388890\pi\)
−3.40741e−6 1.00000i \(0.500001\pi\)
\(224\) 0.405743 + 2.30108i 0.0271099 + 0.153748i
\(225\) −0.360471 + 0.00986833i −0.0240314 + 0.000657889i
\(226\) −11.3972 9.56335i −0.758128 0.636145i
\(227\) −17.0369 −1.13078 −0.565391 0.824823i \(-0.691275\pi\)
−0.565391 + 0.824823i \(0.691275\pi\)
\(228\) −5.35207 5.32498i −0.354449 0.352655i
\(229\) 24.5203 1.62035 0.810173 0.586191i \(-0.199373\pi\)
0.810173 + 0.586191i \(0.199373\pi\)
\(230\) −14.1901 11.9069i −0.935668 0.785118i
\(231\) −11.5759 + 2.20488i −0.761636 + 0.145070i
\(232\) 0.373386 + 2.11758i 0.0245140 + 0.139026i
\(233\) −22.4936 3.96623i −1.47360 0.259836i −0.621585 0.783346i \(-0.713511\pi\)
−0.852019 + 0.523510i \(0.824622\pi\)
\(234\) 2.46399 3.10524i 0.161076 0.202996i
\(235\) 11.5728 + 20.0447i 0.754925 + 1.30757i
\(236\) 1.65642 2.86901i 0.107824 0.186757i
\(237\) 7.72539 4.60235i 0.501818 0.298955i
\(238\) 8.69469 + 10.3619i 0.563593 + 0.671664i
\(239\) 2.62883 + 1.51775i 0.170045 + 0.0981753i 0.582607 0.812754i \(-0.302033\pi\)
−0.412562 + 0.910929i \(0.635366\pi\)
\(240\) 1.39074 + 3.66421i 0.0897718 + 0.236524i
\(241\) −1.35157 + 3.71341i −0.0870624 + 0.239202i −0.975582 0.219638i \(-0.929512\pi\)
0.888519 + 0.458840i \(0.151735\pi\)
\(242\) 0.437916 2.48355i 0.0281503 0.159648i
\(243\) −12.5986 9.18018i −0.808199 0.588909i
\(244\) −5.51318 + 2.00663i −0.352945 + 0.128461i
\(245\) 2.24048 2.67010i 0.143139 0.170586i
\(246\) 2.51674 15.5115i 0.160462 0.988979i
\(247\) 5.74296 0.437996i 0.365416 0.0278690i
\(248\) 6.09598i 0.387095i
\(249\) 2.12337 + 2.46133i 0.134563 + 0.155980i
\(250\) −3.77657 10.3760i −0.238851 0.656238i
\(251\) 7.14276 1.25946i 0.450847 0.0794965i 0.0563857 0.998409i \(-0.482042\pi\)
0.394461 + 0.918913i \(0.370931\pi\)
\(252\) −3.33743 + 6.16426i −0.210238 + 0.388312i
\(253\) −22.3988 8.15248i −1.40820 0.512542i
\(254\) −6.43292 + 3.71405i −0.403637 + 0.233040i
\(255\) 17.5785 + 14.3448i 1.10081 + 0.898308i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) 7.10091 5.95837i 0.442942 0.371673i −0.393867 0.919168i \(-0.628863\pi\)
0.836809 + 0.547495i \(0.184418\pi\)
\(258\) 0.514736 + 0.420047i 0.0320461 + 0.0261510i
\(259\) 6.04944 3.49265i 0.375894 0.217023i
\(260\) −2.80962 1.02262i −0.174245 0.0634202i
\(261\) −3.07128 + 5.67268i −0.190108 + 0.351130i
\(262\) −17.5281 + 3.09067i −1.08289 + 0.190943i
\(263\) 1.21399 + 3.33541i 0.0748578 + 0.205670i 0.971478 0.237131i \(-0.0762070\pi\)
−0.896620 + 0.442801i \(0.853985\pi\)
\(264\) 3.29431 + 3.81864i 0.202751 + 0.235021i
\(265\) 6.43982i 0.395595i
\(266\) −9.86665 + 2.52623i −0.604963 + 0.154893i
\(267\) −1.71892 + 10.5943i −0.105196 + 0.648358i
\(268\) 10.4361 12.4373i 0.637486 0.759727i
\(269\) −4.70855 + 1.71377i −0.287086 + 0.104491i −0.481549 0.876419i \(-0.659926\pi\)
0.194463 + 0.980910i \(0.437703\pi\)
\(270\) −3.56454 + 11.2044i −0.216931 + 0.681881i
\(271\) −1.60600 + 9.10806i −0.0975574 + 0.553275i 0.896376 + 0.443294i \(0.146190\pi\)
−0.993934 + 0.109981i \(0.964921\pi\)
\(272\) 1.97997 5.43991i 0.120053 0.329843i
\(273\) −1.89759 4.99962i −0.114847 0.302591i
\(274\) 14.2238 + 8.21212i 0.859292 + 0.496112i
\(275\) 0.224973 + 0.268112i 0.0135664 + 0.0161678i
\(276\) −12.1813 + 7.25692i −0.733228 + 0.436815i
\(277\) 3.80040 6.58248i 0.228344 0.395503i −0.728974 0.684542i \(-0.760002\pi\)
0.957317 + 0.289039i \(0.0933356\pi\)
\(278\) −9.66698 16.7437i −0.579787 1.00422i
\(279\) −11.3675 + 14.3258i −0.680554 + 0.857665i
\(280\) 5.20686 + 0.918110i 0.311169 + 0.0548676i
\(281\) 2.50185 + 14.1887i 0.149248 + 0.846425i 0.963858 + 0.266417i \(0.0858397\pi\)
−0.814610 + 0.580009i \(0.803049\pi\)
\(282\) 17.4039 3.31496i 1.03639 0.197403i
\(283\) 7.59307 + 6.37134i 0.451361 + 0.378737i 0.839941 0.542678i \(-0.182590\pi\)
−0.388579 + 0.921415i \(0.627034\pi\)
\(284\) 13.2234 0.784664
\(285\) −15.4647 + 7.25913i −0.916049 + 0.429994i
\(286\) −3.84742 −0.227502
\(287\) −16.2394 13.6265i −0.958584 0.804348i
\(288\) 2.99888 0.0820978i 0.176710 0.00483766i
\(289\) −2.86743 16.2620i −0.168673 0.956589i
\(290\) 4.79163 + 0.844894i 0.281374 + 0.0496139i
\(291\) −14.4245 8.06682i −0.845577 0.472886i
\(292\) 3.11130 + 5.38893i 0.182075 + 0.315363i
\(293\) −4.11218 + 7.12251i −0.240236 + 0.416102i −0.960782 0.277306i \(-0.910558\pi\)
0.720545 + 0.693408i \(0.243892\pi\)
\(294\) −1.36551 2.29211i −0.0796381 0.133679i
\(295\) −4.81851 5.74247i −0.280544 0.334340i
\(296\) −2.58901 1.49477i −0.150483 0.0868816i
\(297\) 0.620963 + 15.1170i 0.0360319 + 0.877178i
\(298\) 2.20295 6.05256i 0.127614 0.350615i
\(299\) 1.87835 10.6527i 0.108628 0.616059i
\(300\) 0.208177 0.00284901i 0.0120191 0.000164488i
\(301\) 0.842207 0.306538i 0.0485440 0.0176686i
\(302\) 1.94657 2.31983i 0.112013 0.133491i
\(303\) 21.4001 + 3.47217i 1.22941 + 0.199471i
\(304\) 3.04766 + 3.11637i 0.174795 + 0.178736i
\(305\) 13.2758i 0.760168i
\(306\) 14.7971 9.09189i 0.845893 0.519749i
\(307\) −3.47152 9.53794i −0.198130 0.544359i 0.800346 0.599538i \(-0.204649\pi\)
−0.998476 + 0.0551795i \(0.982427\pi\)
\(308\) 6.70012 1.18141i 0.381775 0.0673172i
\(309\) 4.99801 14.3395i 0.284327 0.815746i
\(310\) 12.9620 + 4.71780i 0.736194 + 0.267953i
\(311\) 9.98316 5.76378i 0.566093 0.326834i −0.189494 0.981882i \(-0.560685\pi\)
0.755587 + 0.655048i \(0.227352\pi\)
\(312\) −1.44699 + 1.77317i −0.0819195 + 0.100386i
\(313\) 2.29638 1.92690i 0.129799 0.108915i −0.575577 0.817748i \(-0.695222\pi\)
0.705376 + 0.708833i \(0.250778\pi\)
\(314\) 14.6497 12.2926i 0.826731 0.693710i
\(315\) 10.5243 + 11.8671i 0.592977 + 0.668635i
\(316\) −4.49620 + 2.59588i −0.252931 + 0.146030i
\(317\) −15.4509 5.62366i −0.867808 0.315856i −0.130529 0.991445i \(-0.541667\pi\)
−0.737279 + 0.675588i \(0.763890\pi\)
\(318\) −4.65472 1.62240i −0.261024 0.0909795i
\(319\) 6.16581 1.08720i 0.345219 0.0608714i
\(320\) −0.773919 2.12632i −0.0432634 0.118865i
\(321\) 10.6120 9.15485i 0.592302 0.510974i
\(322\) 19.1280i 1.06596i
\(323\) 24.2997 + 6.80228i 1.35207 + 0.378489i
\(324\) 7.20058 + 5.39922i 0.400032 + 0.299957i
\(325\) −0.102094 + 0.121670i −0.00566313 + 0.00674906i
\(326\) −5.81548 + 2.11666i −0.322090 + 0.117231i
\(327\) −0.174781 12.7712i −0.00966540 0.706250i
\(328\) −1.57546 + 8.93486i −0.0869901 + 0.493345i
\(329\) 8.17442 22.4590i 0.450670 1.23821i
\(330\) 10.6692 4.04945i 0.587319 0.222915i
\(331\) 1.51206 + 0.872986i 0.0831101 + 0.0479837i 0.540979 0.841036i \(-0.318054\pi\)
−0.457869 + 0.889020i \(0.651387\pi\)
\(332\) −1.20637 1.43769i −0.0662079 0.0789036i
\(333\) −3.29693 8.34064i −0.180671 0.457064i
\(334\) −2.18468 + 3.78398i −0.119540 + 0.207050i
\(335\) −18.3689 31.8160i −1.00360 1.73829i
\(336\) 1.97539 3.53223i 0.107766 0.192699i
\(337\) −14.3139 2.52392i −0.779727 0.137487i −0.230402 0.973096i \(-0.574004\pi\)
−0.549325 + 0.835609i \(0.685115\pi\)
\(338\) 1.95424 + 11.0831i 0.106297 + 0.602839i
\(339\) 4.82166 + 25.3142i 0.261876 + 1.37488i
\(340\) −10.0347 8.42009i −0.544207 0.456644i
\(341\) 17.7498 0.961207
\(342\) 1.35087 + 13.0067i 0.0730469 + 0.703324i
\(343\) −19.9553 −1.07749
\(344\) −0.293837 0.246558i −0.0158426 0.0132935i
\(345\) 6.00323 + 31.5176i 0.323203 + 1.69685i
\(346\) 2.58682 + 14.6706i 0.139069 + 0.788697i
\(347\) −5.30901 0.936123i −0.285003 0.0502537i 0.0293192 0.999570i \(-0.490666\pi\)
−0.314322 + 0.949316i \(0.601777\pi\)
\(348\) 1.81786 3.25055i 0.0974474 0.174248i
\(349\) −1.57657 2.73070i −0.0843920 0.146171i 0.820740 0.571302i \(-0.193561\pi\)
−0.905132 + 0.425131i \(0.860228\pi\)
\(350\) 0.140431 0.243234i 0.00750636 0.0130014i
\(351\) −6.70701 + 1.46877i −0.357994 + 0.0783971i
\(352\) −1.87162 2.23051i −0.0997577 0.118887i
\(353\) 19.6094 + 11.3215i 1.04370 + 0.602582i 0.920880 0.389847i \(-0.127472\pi\)
0.122822 + 0.992429i \(0.460805\pi\)
\(354\) −5.36462 + 2.03612i −0.285126 + 0.108219i
\(355\) 10.2338 28.1172i 0.543155 1.49231i
\(356\) 1.07603 6.10245i 0.0570293 0.323429i
\(357\) −0.320603 23.4265i −0.0169681 1.23986i
\(358\) 3.15759 1.14927i 0.166884 0.0607407i
\(359\) −10.4708 + 12.4786i −0.552628 + 0.658596i −0.967969 0.251069i \(-0.919218\pi\)
0.415341 + 0.909666i \(0.363662\pi\)
\(360\) 2.14632 6.44012i 0.113121 0.339424i
\(361\) −12.5344 + 14.2790i −0.659705 + 0.751525i
\(362\) 19.8675i 1.04421i
\(363\) −3.30734 + 2.85321i −0.173590 + 0.149755i
\(364\) 1.05597 + 2.90125i 0.0553478 + 0.152067i
\(365\) 13.8665 2.44504i 0.725806 0.127979i
\(366\) 9.59577 + 3.34459i 0.501579 + 0.174825i
\(367\) 13.5022 + 4.91441i 0.704811 + 0.256530i 0.669464 0.742845i \(-0.266524\pi\)
0.0353474 + 0.999375i \(0.488746\pi\)
\(368\) 7.08955 4.09315i 0.369568 0.213370i
\(369\) −20.3637 + 18.0595i −1.06009 + 0.940139i
\(370\) −5.18205 + 4.34825i −0.269402 + 0.226055i
\(371\) −5.09407 + 4.27443i −0.264471 + 0.221918i
\(372\) 6.67559 8.18044i 0.346113 0.424136i
\(373\) −31.7907 + 18.3543i −1.64606 + 0.950352i −0.667441 + 0.744663i \(0.732610\pi\)
−0.978617 + 0.205689i \(0.934056\pi\)
\(374\) −15.8395 5.76511i −0.819042 0.298107i
\(375\) −6.29466 + 18.0596i −0.325055 + 0.932596i
\(376\) −10.0734 + 1.77621i −0.519496 + 0.0916011i
\(377\) 0.971760 + 2.66989i 0.0500482 + 0.137506i
\(378\) 11.2290 4.61730i 0.577557 0.237488i
\(379\) 26.0481i 1.33800i −0.743263 0.669000i \(-0.766723\pi\)
0.743263 0.669000i \(-0.233277\pi\)
\(380\) 8.98506 4.06849i 0.460924 0.208709i
\(381\) 12.6998 + 2.06053i 0.650628 + 0.105564i
\(382\) −6.57866 + 7.84014i −0.336593 + 0.401136i
\(383\) 2.22943 0.811445i 0.113918 0.0414629i −0.284432 0.958696i \(-0.591805\pi\)
0.398350 + 0.917233i \(0.369583\pi\)
\(384\) −1.73189 + 0.0237018i −0.0883801 + 0.00120953i
\(385\) 2.67328 15.1609i 0.136243 0.772673i
\(386\) 0.784644 2.15579i 0.0399374 0.109727i
\(387\) −0.230760 1.12735i −0.0117302 0.0573067i
\(388\) 8.26346 + 4.77091i 0.419513 + 0.242206i
\(389\) −15.0557 17.9426i −0.763353 0.909728i 0.234702 0.972067i \(-0.424588\pi\)
−0.998055 + 0.0623389i \(0.980144\pi\)
\(390\) 2.65049 + 4.44905i 0.134213 + 0.225287i
\(391\) 23.6954 41.0416i 1.19833 2.07556i
\(392\) 0.770194 + 1.33401i 0.0389007 + 0.0673779i
\(393\) 26.9062 + 15.0472i 1.35724 + 0.759029i
\(394\) 6.21823 + 1.09644i 0.313270 + 0.0552380i
\(395\) 2.03999 + 11.5694i 0.102643 + 0.582119i
\(396\) −0.239046 8.73190i −0.0120125 0.438795i
\(397\) 5.26511 + 4.41795i 0.264248 + 0.221731i 0.765279 0.643699i \(-0.222601\pi\)
−0.501031 + 0.865430i \(0.667046\pi\)
\(398\) −10.3943 −0.521020
\(399\) 16.0069 + 7.41473i 0.801345 + 0.371201i
\(400\) −0.120202 −0.00601011
\(401\) −23.7988 19.9695i −1.18845 0.997231i −0.999885 0.0151712i \(-0.995171\pi\)
−0.188569 0.982060i \(-0.560385\pi\)
\(402\) −27.6244 + 5.26168i −1.37778 + 0.262429i
\(403\) 1.39873 + 7.93257i 0.0696755 + 0.395150i
\(404\) −12.3268 2.17355i −0.613281 0.108138i
\(405\) 17.0532 11.1322i 0.847378 0.553164i
\(406\) −2.51211 4.35111i −0.124674 0.215942i
\(407\) −4.35235 + 7.53850i −0.215738 + 0.373670i
\(408\) −8.61413 + 5.13181i −0.426463 + 0.254062i
\(409\) −5.64702 6.72985i −0.279227 0.332770i 0.608143 0.793827i \(-0.291915\pi\)
−0.887370 + 0.461057i \(0.847470\pi\)
\(410\) 17.7791 + 10.2648i 0.878049 + 0.506942i
\(411\) −10.0946 26.5964i −0.497928 1.31190i
\(412\) −2.99863 + 8.23866i −0.147732 + 0.405889i
\(413\) −1.34417 + 7.62314i −0.0661420 + 0.375110i
\(414\) 24.2935 + 3.60115i 1.19396 + 0.176987i
\(415\) −3.99063 + 1.45247i −0.195892 + 0.0712989i
\(416\) 0.849349 1.01221i 0.0416428 0.0496279i
\(417\) −5.36319 + 33.0551i −0.262637 + 1.61872i
\(418\) 9.07402 8.87394i 0.443825 0.434039i
\(419\) 0.268652i 0.0131245i 0.999978 + 0.00656225i \(0.00208885\pi\)
−0.999978 + 0.00656225i \(0.997911\pi\)
\(420\) −5.98188 6.93398i −0.291886 0.338343i
\(421\) 6.44528 + 17.7083i 0.314124 + 0.863048i 0.991813 + 0.127699i \(0.0407592\pi\)
−0.677689 + 0.735348i \(0.737019\pi\)
\(422\) −5.49083 + 0.968181i −0.267289 + 0.0471303i
\(423\) −26.9851 14.6102i −1.31206 0.710372i
\(424\) 2.67434 + 0.973379i 0.129877 + 0.0472714i
\(425\) −0.602627 + 0.347927i −0.0292317 + 0.0168769i
\(426\) −17.7450 14.4807i −0.859748 0.701591i
\(427\) 10.5015 8.81180i 0.508203 0.426433i
\(428\) −6.19857 + 5.20122i −0.299619 + 0.251410i
\(429\) 5.16300 + 4.21323i 0.249272 + 0.203417i
\(430\) −0.751668 + 0.433976i −0.0362487 + 0.0209282i
\(431\) 8.09752 + 2.94726i 0.390044 + 0.141964i 0.529595 0.848250i \(-0.322344\pi\)
−0.139551 + 0.990215i \(0.544566\pi\)
\(432\) −4.11421 3.17384i −0.197945 0.152701i
\(433\) 8.52374 1.50296i 0.409625 0.0722279i 0.0349610 0.999389i \(-0.488869\pi\)
0.374664 + 0.927161i \(0.377758\pi\)
\(434\) −4.87165 13.3848i −0.233847 0.642489i
\(435\) −5.50485 6.38102i −0.263937 0.305946i
\(436\) 7.37416i 0.353158i
\(437\) 20.1400 + 29.4564i 0.963426 + 1.40909i
\(438\) 1.72613 10.6387i 0.0824779 0.508339i
\(439\) −16.0959 + 19.1824i −0.768216 + 0.915524i −0.998338 0.0576380i \(-0.981643\pi\)
0.230122 + 0.973162i \(0.426088\pi\)
\(440\) −6.19127 + 2.25344i −0.295157 + 0.107428i
\(441\) −0.677615 + 4.57121i −0.0322674 + 0.217677i
\(442\) 1.32830 7.53314i 0.0631806 0.358315i
\(443\) −2.20842 + 6.06757i −0.104925 + 0.288279i −0.981035 0.193833i \(-0.937908\pi\)
0.876110 + 0.482112i \(0.160130\pi\)
\(444\) 1.83741 + 4.84107i 0.0871996 + 0.229747i
\(445\) −12.1430 7.01078i −0.575634 0.332343i
\(446\) 3.33359 + 3.97281i 0.157850 + 0.188118i
\(447\) −9.58426 + 5.70975i −0.453320 + 0.270062i
\(448\) −1.16829 + 2.02354i −0.0551965 + 0.0956032i
\(449\) −11.3528 19.6637i −0.535774 0.927988i −0.999125 0.0418133i \(-0.986687\pi\)
0.463351 0.886175i \(-0.346647\pi\)
\(450\) −0.282480 0.224147i −0.0133163 0.0105664i
\(451\) 26.0159 + 4.58730i 1.22504 + 0.216007i
\(452\) −2.58353 14.6519i −0.121519 0.689168i
\(453\) −5.15258 + 0.981423i −0.242089 + 0.0461113i
\(454\) −13.0510 10.9511i −0.612516 0.513962i
\(455\) 6.98624 0.327520
\(456\) −0.677094 7.51941i −0.0317078 0.352129i
\(457\) 9.08970 0.425198 0.212599 0.977140i \(-0.431807\pi\)
0.212599 + 0.977140i \(0.431807\pi\)
\(458\) 18.7836 + 15.7613i 0.877701 + 0.736479i
\(459\) −29.8131 4.00323i −1.39156 0.186855i
\(460\) −3.21663 18.2424i −0.149976 0.850558i
\(461\) −19.6634 3.46719i −0.915818 0.161483i −0.304174 0.952617i \(-0.598380\pi\)
−0.611644 + 0.791133i \(0.709491\pi\)
\(462\) −10.2849 5.75179i −0.478497 0.267597i
\(463\) 0.304139 + 0.526785i 0.0141346 + 0.0244818i 0.873006 0.487709i \(-0.162167\pi\)
−0.858872 + 0.512191i \(0.828834\pi\)
\(464\) −1.07512 + 1.86217i −0.0499114 + 0.0864490i
\(465\) −12.2279 20.5255i −0.567055 0.951845i
\(466\) −14.6817 17.4969i −0.680115 0.810529i
\(467\) −13.6575 7.88518i −0.631995 0.364883i 0.149529 0.988757i \(-0.452224\pi\)
−0.781524 + 0.623875i \(0.785558\pi\)
\(468\) 3.88354 0.794926i 0.179516 0.0367455i
\(469\) −12.9749 + 35.6482i −0.599124 + 1.64608i
\(470\) −4.01919 + 22.7939i −0.185391 + 1.05141i
\(471\) −33.1204 + 0.453270i −1.52611 + 0.0208856i
\(472\) 3.11306 1.13306i 0.143290 0.0521533i
\(473\) −0.717910 + 0.855572i −0.0330095 + 0.0393392i
\(474\) 8.87633 + 1.44018i 0.407703 + 0.0661498i
\(475\) −0.0398441 0.522432i −0.00182817 0.0239708i
\(476\) 13.5265i 0.619988i
\(477\) 4.46970 + 7.27445i 0.204653 + 0.333074i
\(478\) 1.03820 + 2.85244i 0.0474864 + 0.130468i
\(479\) 9.47350 1.67043i 0.432855 0.0763241i 0.0470248 0.998894i \(-0.485026\pi\)
0.385831 + 0.922570i \(0.373915\pi\)
\(480\) −1.28994 + 3.70090i −0.0588776 + 0.168922i
\(481\) −3.71200 1.35106i −0.169253 0.0616030i
\(482\) −3.42230 + 1.97587i −0.155881 + 0.0899982i
\(483\) 20.9467 25.6686i 0.953106 1.16796i
\(484\) 1.93186 1.62102i 0.0878116 0.0736827i
\(485\) 16.5397 13.8785i 0.751031 0.630190i
\(486\) −3.75016 15.1306i −0.170111 0.686340i
\(487\) 28.7513 16.5996i 1.30285 0.752198i 0.321954 0.946755i \(-0.395660\pi\)
0.980891 + 0.194557i \(0.0623269\pi\)
\(488\) −5.51318 2.00663i −0.249570 0.0908360i
\(489\) 10.1219 + 3.52798i 0.457730 + 0.159541i
\(490\) 3.43261 0.605262i 0.155070 0.0273430i
\(491\) −3.75074 10.3051i −0.169268 0.465061i 0.825834 0.563914i \(-0.190705\pi\)
−0.995102 + 0.0988527i \(0.968483\pi\)
\(492\) 11.8986 10.2648i 0.536428 0.462772i
\(493\) 12.4478i 0.560623i
\(494\) 4.68090 + 3.35598i 0.210604 + 0.150993i
\(495\) −18.7519 6.24949i −0.842833 0.280894i
\(496\) −3.91842 + 4.66980i −0.175942 + 0.209680i
\(497\) −29.0342 + 10.5676i −1.30236 + 0.474021i
\(498\) 0.0444829 + 3.25036i 0.00199333 + 0.145652i
\(499\) −5.30316 + 30.0757i −0.237402 + 1.34637i 0.600094 + 0.799930i \(0.295130\pi\)
−0.837496 + 0.546444i \(0.815981\pi\)
\(500\) 3.77657 10.3760i 0.168893 0.464030i
\(501\) 7.07546 2.68547i 0.316108 0.119978i
\(502\) 6.28124 + 3.62647i 0.280345 + 0.161857i
\(503\) 10.7776 + 12.8442i 0.480550 + 0.572697i 0.950788 0.309843i \(-0.100276\pi\)
−0.470238 + 0.882540i \(0.655832\pi\)
\(504\) −6.51893 + 2.57684i −0.290376 + 0.114781i
\(505\) −14.1616 + 24.5286i −0.630182 + 1.09151i
\(506\) −11.9181 20.6428i −0.529826 0.917685i
\(507\) 9.51436 17.0128i 0.422547 0.755566i
\(508\) −7.31524 1.28987i −0.324561 0.0572289i
\(509\) 7.27364 + 41.2508i 0.322398 + 1.82841i 0.527360 + 0.849642i \(0.323182\pi\)
−0.204962 + 0.978770i \(0.565707\pi\)
\(510\) 4.24525 + 22.2880i 0.187983 + 0.986930i
\(511\) −11.1380 9.34588i −0.492716 0.413438i
\(512\) 1.00000 0.0441942
\(513\) 12.4306 18.9336i 0.548825 0.835937i
\(514\) 9.26957 0.408863
\(515\) 15.1974 + 12.7521i 0.669676 + 0.561925i
\(516\) 0.124310 + 0.652641i 0.00547244 + 0.0287309i
\(517\) 5.17184 + 29.3310i 0.227457 + 1.28997i
\(518\) 6.87917 + 1.21298i 0.302254 + 0.0532955i
\(519\) 12.5941 22.5198i 0.552821 0.988511i
\(520\) −1.49497 2.58936i −0.0655587 0.113551i
\(521\) 5.82256 10.0850i 0.255091 0.441831i −0.709829 0.704374i \(-0.751228\pi\)
0.964920 + 0.262543i \(0.0845612\pi\)
\(522\) −5.99907 + 2.37134i −0.262572 + 0.103791i
\(523\) 1.24233 + 1.48055i 0.0543231 + 0.0647398i 0.792522 0.609844i \(-0.208768\pi\)
−0.738199 + 0.674583i \(0.764323\pi\)
\(524\) −15.4139 8.89924i −0.673361 0.388765i
\(525\) −0.454810 + 0.172622i −0.0198495 + 0.00753382i
\(526\) −1.21399 + 3.33541i −0.0529325 + 0.145431i
\(527\) −6.12802 + 34.7537i −0.266941 + 1.51390i
\(528\) 0.0690131 + 5.04278i 0.00300341 + 0.219459i
\(529\) 41.3611 15.0542i 1.79831 0.654531i
\(530\) 4.13944 4.93319i 0.179806 0.214284i
\(531\) 9.42870 + 3.14233i 0.409171 + 0.136366i
\(532\) −9.18212 4.40696i −0.398095 0.191066i
\(533\) 11.9882i 0.519268i
\(534\) −8.12663 + 7.01078i −0.351674 + 0.303386i
\(535\) 6.26229 + 17.2055i 0.270742 + 0.743858i
\(536\) 15.9890 2.81930i 0.690621 0.121775i
\(537\) −5.49583 1.91557i −0.237163 0.0826627i
\(538\) −4.70855 1.71377i −0.203000 0.0738860i
\(539\) 3.88428 2.24259i 0.167308 0.0965953i
\(540\) −9.93267 + 6.29185i −0.427434 + 0.270758i
\(541\) −7.95720 + 6.67688i −0.342107 + 0.287062i −0.797611 0.603172i \(-0.793903\pi\)
0.455505 + 0.890233i \(0.349459\pi\)
\(542\) −7.08482 + 5.94487i −0.304319 + 0.255354i
\(543\) 21.7565 26.6610i 0.933662 1.14413i
\(544\) 5.01345 2.89452i 0.214950 0.124101i
\(545\) 15.6798 + 5.70700i 0.671651 + 0.244461i
\(546\) 1.76006 5.04967i 0.0753235 0.216106i
\(547\) 24.0156 4.23461i 1.02683 0.181059i 0.365235 0.930915i \(-0.380989\pi\)
0.661600 + 0.749857i \(0.269878\pi\)
\(548\) 5.61742 + 15.4337i 0.239964 + 0.659297i
\(549\) −9.21434 14.9964i −0.393258 0.640029i
\(550\) 0.349996i 0.0149239i
\(551\) −8.44988 4.05552i −0.359977 0.172771i
\(552\) −13.9961 2.27086i −0.595712 0.0966543i
\(553\) 7.79765 9.29287i 0.331590 0.395173i
\(554\) 7.14241 2.59963i 0.303452 0.110448i
\(555\) 11.7157 0.160335i 0.497303 0.00680585i
\(556\) 3.35731 19.0402i 0.142381 0.807485i
\(557\) −6.96784 + 19.1440i −0.295237 + 0.811156i 0.700042 + 0.714101i \(0.253164\pi\)
−0.995279 + 0.0970547i \(0.969058\pi\)
\(558\) −17.9165 + 3.66734i −0.758465 + 0.155251i
\(559\) −0.438936 0.253420i −0.0185650 0.0107185i
\(560\) 3.39854 + 4.05022i 0.143614 + 0.171153i
\(561\) 14.9424 + 25.0820i 0.630869 + 1.05896i
\(562\) −7.20378 + 12.4773i −0.303873 + 0.526324i
\(563\) 0.391026 + 0.677277i 0.0164798 + 0.0285438i 0.874148 0.485660i \(-0.161421\pi\)
−0.857668 + 0.514204i \(0.828087\pi\)
\(564\) 15.4630 + 8.64760i 0.651109 + 0.364130i
\(565\) −33.1541 5.84597i −1.39481 0.245942i
\(566\) 1.72121 + 9.76147i 0.0723478 + 0.410305i
\(567\) −20.1249 6.10050i −0.845167 0.256197i
\(568\) 10.1297 + 8.49984i 0.425033 + 0.356645i
\(569\) 12.5732 0.527098 0.263549 0.964646i \(-0.415107\pi\)
0.263549 + 0.964646i \(0.415107\pi\)
\(570\) −16.5127 4.37969i −0.691642 0.183445i
\(571\) −2.14694 −0.0898468 −0.0449234 0.998990i \(-0.514304\pi\)
−0.0449234 + 0.998990i \(0.514304\pi\)
\(572\) −2.94729 2.47307i −0.123232 0.103404i
\(573\) 17.4137 3.31683i 0.727469 0.138563i
\(574\) −3.68118 20.8770i −0.153650 0.871390i
\(575\) −0.969062 0.170872i −0.0404127 0.00712585i
\(576\) 2.35004 + 1.86475i 0.0979185 + 0.0776979i
\(577\) −19.9348 34.5282i −0.829898 1.43743i −0.898117 0.439756i \(-0.855065\pi\)
0.0682191 0.997670i \(-0.478268\pi\)
\(578\) 8.25644 14.3006i 0.343423 0.594826i
\(579\) −3.41371 + 2.03369i −0.141869 + 0.0845174i
\(580\) 3.12752 + 3.72723i 0.129863 + 0.154765i
\(581\) 3.79772 + 2.19262i 0.157556 + 0.0909650i
\(582\) −5.86453 15.4514i −0.243092 0.640482i
\(583\) 2.83421 7.78693i 0.117381 0.322502i
\(584\) −1.08054 + 6.12807i −0.0447132 + 0.253581i
\(585\) 1.31527 8.87286i 0.0543798 0.366848i
\(586\) −7.72838 + 2.81290i −0.319256 + 0.116200i
\(587\) 28.9490 34.5001i 1.19485 1.42397i 0.314757 0.949172i \(-0.398077\pi\)
0.880095 0.474797i \(-0.157479\pi\)
\(588\) 0.427300 2.63359i 0.0176215 0.108607i
\(589\) −21.5951 15.4826i −0.889810 0.637951i
\(590\) 7.49627i 0.308616i
\(591\) −7.14380 8.28082i −0.293856 0.340627i
\(592\) −1.02248 2.80925i −0.0420237 0.115459i
\(593\) 29.2417 5.15610i 1.20081 0.211736i 0.462763 0.886482i \(-0.346858\pi\)
0.738050 + 0.674746i \(0.235747\pi\)
\(594\) −9.24135 + 11.9795i −0.379177 + 0.491523i
\(595\) 28.7618 + 10.4684i 1.17912 + 0.429164i
\(596\) 5.57807 3.22050i 0.228487 0.131917i
\(597\) 13.9485 + 11.3826i 0.570876 + 0.465859i
\(598\) 8.28630 6.95303i 0.338852 0.284331i
\(599\) 23.2268 19.4896i 0.949023 0.796325i −0.0301101 0.999547i \(-0.509586\pi\)
0.979133 + 0.203222i \(0.0651413\pi\)
\(600\) 0.161304 + 0.131631i 0.00658521 + 0.00537381i
\(601\) 19.5471 11.2855i 0.797343 0.460346i −0.0451983 0.998978i \(-0.514392\pi\)
0.842541 + 0.538632i \(0.181059\pi\)
\(602\) 0.842207 + 0.306538i 0.0343258 + 0.0124936i
\(603\) 42.8322 + 23.1901i 1.74426 + 0.944373i
\(604\) 2.98232 0.525863i 0.121349 0.0213971i
\(605\) −1.95171 5.36229i −0.0793484 0.218008i
\(606\) 14.1616 + 16.4156i 0.575275 + 0.666837i
\(607\) 22.1708i 0.899886i −0.893057 0.449943i \(-0.851444\pi\)
0.893057 0.449943i \(-0.148556\pi\)
\(608\) 0.331476 + 4.34628i 0.0134431 + 0.176265i
\(609\) −1.39371 + 8.58989i −0.0564759 + 0.348080i
\(610\) −8.53350 + 10.1698i −0.345511 + 0.411764i
\(611\) −12.7007 + 4.62269i −0.513817 + 0.187014i
\(612\) 17.1794 + 2.54659i 0.694435 + 0.102940i
\(613\) −4.39349 + 24.9167i −0.177451 + 1.00638i 0.757825 + 0.652458i \(0.226262\pi\)
−0.935276 + 0.353919i \(0.884849\pi\)
\(614\) 3.47152 9.53794i 0.140099 0.384920i
\(615\) −12.6177 33.2443i −0.508797 1.34054i
\(616\) 5.89199 + 3.40174i 0.237395 + 0.137060i
\(617\) −3.45217 4.11414i −0.138979 0.165629i 0.692065 0.721835i \(-0.256701\pi\)
−0.831045 + 0.556206i \(0.812257\pi\)
\(618\) 13.0460 7.77204i 0.524785 0.312637i
\(619\) −10.8898 + 18.8617i −0.437699 + 0.758117i −0.997512 0.0705023i \(-0.977540\pi\)
0.559813 + 0.828619i \(0.310873\pi\)
\(620\) 6.89696 + 11.9459i 0.276988 + 0.479758i
\(621\) −28.6568 31.4358i −1.14996 1.26148i
\(622\) 11.3524 + 2.00174i 0.455191 + 0.0802625i
\(623\) 2.51422 + 14.2589i 0.100730 + 0.571269i
\(624\) −2.24823 + 0.428225i −0.0900013 + 0.0171427i
\(625\) −19.6004 16.4467i −0.784018 0.657869i
\(626\) 2.99772 0.119813
\(627\) −21.8945 + 1.97151i −0.874380 + 0.0787345i
\(628\) 19.1238 0.763124
\(629\) −13.2576 11.1244i −0.528614 0.443560i
\(630\) 0.434066 + 15.8556i 0.0172936 + 0.631703i
\(631\) −2.49759 14.1646i −0.0994276 0.563882i −0.993300 0.115561i \(-0.963133\pi\)
0.893873 0.448321i \(-0.147978\pi\)
\(632\) −5.11289 0.901541i −0.203380 0.0358614i
\(633\) 8.42859 + 4.71366i 0.335006 + 0.187351i
\(634\) −8.22124 14.2396i −0.326507 0.565527i
\(635\) −8.40409 + 14.5563i −0.333506 + 0.577650i
\(636\) −2.52287 4.23483i −0.100038 0.167922i
\(637\) 1.30833 + 1.55920i 0.0518378 + 0.0617779i
\(638\) 5.42212 + 3.13046i 0.214664 + 0.123936i
\(639\) 7.95520 + 38.8644i 0.314703 + 1.53745i
\(640\) 0.773919 2.12632i 0.0305918 0.0840503i
\(641\) 1.24354 7.05244i 0.0491167 0.278555i −0.950351 0.311180i \(-0.899276\pi\)
0.999468 + 0.0326255i \(0.0103869\pi\)
\(642\) 14.0139 0.191787i 0.553083 0.00756923i
\(643\) 9.97359 3.63009i 0.393320 0.143157i −0.137786 0.990462i \(-0.543999\pi\)
0.531106 + 0.847305i \(0.321776\pi\)
\(644\) −12.2952 + 14.6529i −0.484500 + 0.577404i
\(645\) 1.48393 + 0.240768i 0.0584297 + 0.00948022i
\(646\) 14.2422 + 20.8304i 0.560352 + 0.819560i
\(647\) 25.2527i 0.992786i −0.868098 0.496393i \(-0.834658\pi\)
0.868098 0.496393i \(-0.165342\pi\)
\(648\) 2.04541 + 8.76449i 0.0803515 + 0.344302i
\(649\) −3.29916 9.06437i −0.129503 0.355808i
\(650\) −0.156416 + 0.0275804i −0.00613516 + 0.00108179i
\(651\) −8.11992 + 23.2964i −0.318245 + 0.913057i
\(652\) −5.81548 2.11666i −0.227752 0.0828949i
\(653\) 4.44155 2.56433i 0.173811 0.100350i −0.410570 0.911829i \(-0.634670\pi\)
0.584382 + 0.811479i \(0.301337\pi\)
\(654\) 8.07529 9.89567i 0.315769 0.386951i
\(655\) −30.8518 + 25.8877i −1.20548 + 1.01152i
\(656\) −6.95009 + 5.83182i −0.271355 + 0.227694i
\(657\) −13.9666 + 12.3863i −0.544890 + 0.483235i
\(658\) 20.6984 11.9502i 0.806906 0.465867i
\(659\) −39.0596 14.2165i −1.52154 0.553797i −0.560011 0.828485i \(-0.689203\pi\)
−0.961533 + 0.274688i \(0.911425\pi\)
\(660\) 10.7760 + 3.75596i 0.419455 + 0.146201i
\(661\) −46.7645 + 8.24585i −1.81893 + 0.320726i −0.976078 0.217421i \(-0.930236\pi\)
−0.842851 + 0.538147i \(0.819125\pi\)
\(662\) 0.597158 + 1.64068i 0.0232092 + 0.0637667i
\(663\) −10.0319 + 8.65443i −0.389606 + 0.336110i
\(664\) 1.87677i 0.0728329i
\(665\) −16.4768 + 16.1135i −0.638944 + 0.624856i
\(666\) 2.83566 8.50852i 0.109880 0.329699i
\(667\) −11.3147 + 13.4844i −0.438108 + 0.522116i
\(668\) −4.10586 + 1.49441i −0.158860 + 0.0578204i
\(669\) −0.122921 8.98182i −0.00475240 0.347257i
\(670\) 6.37947 36.1798i 0.246460 1.39775i
\(671\) −5.84276 + 16.0529i −0.225557 + 0.619713i
\(672\) 3.78371 1.43609i 0.145960 0.0553985i
\(673\) −37.0622 21.3979i −1.42864 0.824827i −0.431629 0.902051i \(-0.642061\pi\)
−0.997014 + 0.0772240i \(0.975394\pi\)
\(674\) −9.34273 11.1342i −0.359868 0.428874i
\(675\) 0.133613 + 0.610130i 0.00514275 + 0.0234839i
\(676\) −5.62701 + 9.74627i −0.216424 + 0.374857i
\(677\) −16.0186 27.7451i −0.615646 1.06633i −0.990271 0.139153i \(-0.955562\pi\)
0.374625 0.927176i \(-0.377771\pi\)
\(678\) −12.5781 + 22.4911i −0.483058 + 0.863767i
\(679\) −21.9565 3.87153i −0.842614 0.148576i
\(680\) −2.27468 12.9003i −0.0872299 0.494705i
\(681\) 5.52135 + 28.9877i 0.211578 + 1.11081i
\(682\) 13.5972 + 11.4094i 0.520662 + 0.436887i
\(683\) −8.09665 −0.309810 −0.154905 0.987929i \(-0.549507\pi\)
−0.154905 + 0.987929i \(0.549507\pi\)
\(684\) −7.32574 + 10.8321i −0.280107 + 0.414174i
\(685\) 37.1646 1.41998
\(686\) −15.2867 12.8270i −0.583647 0.489738i
\(687\) −7.94656 41.7203i −0.303180 1.59173i
\(688\) −0.0666074 0.377749i −0.00253938 0.0144016i
\(689\) 3.70340 + 0.653009i 0.141088 + 0.0248777i
\(690\) −15.6604 + 28.0027i −0.596181 + 1.06605i
\(691\) 14.6326 + 25.3445i 0.556652 + 0.964149i 0.997773 + 0.0667014i \(0.0212475\pi\)
−0.441121 + 0.897447i \(0.645419\pi\)
\(692\) −7.44846 + 12.9011i −0.283148 + 0.490427i
\(693\) 7.50304 + 18.9813i 0.285017 + 0.721041i
\(694\) −3.46521 4.12968i −0.131538 0.156761i
\(695\) −37.8874 21.8743i −1.43715 0.829740i
\(696\) 3.48197 1.32157i 0.131984 0.0500940i
\(697\) −17.9636 + 49.3547i −0.680421 + 1.86944i
\(698\) 0.547538 3.10524i 0.0207246 0.117535i
\(699\) 0.541363 + 39.5574i 0.0204762 + 1.49620i
\(700\) 0.263924 0.0960605i 0.00997539 0.00363075i
\(701\) −6.18601 + 7.37220i −0.233642 + 0.278444i −0.870108 0.492861i \(-0.835951\pi\)
0.636466 + 0.771305i \(0.280396\pi\)
\(702\) −6.08197 3.18604i −0.229549 0.120249i
\(703\) 11.8708 5.37519i 0.447717 0.202729i
\(704\) 2.91172i 0.109740i
\(705\) 30.3547 26.1867i 1.14322 0.986250i
\(706\) 7.74435 + 21.2774i 0.291462 + 0.800787i
\(707\) 28.8025 5.07867i 1.08323 0.191003i
\(708\) −5.41833 1.88855i −0.203633 0.0709760i
\(709\) 2.54680 + 0.926959i 0.0956471 + 0.0348127i 0.389400 0.921069i \(-0.372682\pi\)
−0.293753 + 0.955881i \(0.594904\pi\)
\(710\) 25.9130 14.9609i 0.972497 0.561471i
\(711\) −10.3344 11.6529i −0.387569 0.437019i
\(712\) 4.74686 3.98309i 0.177896 0.149273i
\(713\) −38.2284 + 32.0774i −1.43166 + 1.20131i
\(714\) 14.8126 18.1518i 0.554349 0.679314i
\(715\) −7.53951 + 4.35294i −0.281962 + 0.162791i
\(716\) 3.15759 + 1.14927i 0.118005 + 0.0429502i
\(717\) 1.73045 4.96472i 0.0646247 0.185411i
\(718\) −16.0422 + 2.82867i −0.598690 + 0.105565i
\(719\) 3.02583 + 8.31341i 0.112845 + 0.310038i 0.983240 0.182315i \(-0.0583591\pi\)
−0.870396 + 0.492353i \(0.836137\pi\)
\(720\) 5.78380 3.55379i 0.215550 0.132442i
\(721\) 20.4857i 0.762929i
\(722\) −18.7802 + 2.88137i −0.698928 + 0.107234i
\(723\) 6.75625 + 1.09620i 0.251268 + 0.0407681i
\(724\) −12.7706 + 15.2194i −0.474615 + 0.565625i
\(725\) 0.242877 0.0884000i 0.00902023 0.00328309i
\(726\) −4.36758 + 0.0597726i −0.162096 + 0.00221837i
\(727\) −6.48485 + 36.7774i −0.240510 + 1.36400i 0.590183 + 0.807269i \(0.299055\pi\)
−0.830693 + 0.556730i \(0.812056\pi\)
\(728\) −1.05597 + 2.90125i −0.0391368 + 0.107528i
\(729\) −11.5368 + 24.4111i −0.427288 + 0.904116i
\(730\) 12.1940 + 7.04021i 0.451320 + 0.260570i
\(731\) −1.42733 1.70103i −0.0527918 0.0629149i
\(732\) 5.20092 + 8.73014i 0.192232 + 0.322675i
\(733\) 17.5306 30.3638i 0.647506 1.12151i −0.336211 0.941787i \(-0.609146\pi\)
0.983717 0.179726i \(-0.0575211\pi\)
\(734\) 7.18439 + 12.4437i 0.265181 + 0.459306i
\(735\) −5.26917 2.94676i −0.194356 0.108693i
\(736\) 8.06194 + 1.42154i 0.297167 + 0.0523986i
\(737\) −8.20902 46.5557i −0.302383 1.71490i
\(738\) −27.2079 + 0.744848i −1.00154 + 0.0274182i
\(739\) 20.2995 + 17.0333i 0.746731 + 0.626581i 0.934636 0.355606i \(-0.115725\pi\)
−0.187905 + 0.982187i \(0.560170\pi\)
\(740\) −6.76468 −0.248675
\(741\) −2.60642 9.62949i −0.0957492 0.353748i
\(742\) −6.64984 −0.244123
\(743\) 24.2865 + 20.3788i 0.890984 + 0.747624i 0.968407 0.249374i \(-0.0802249\pi\)
−0.0774234 + 0.996998i \(0.524669\pi\)
\(744\) 10.3721 1.97559i 0.380259 0.0724288i
\(745\) −2.53085 14.3532i −0.0927233 0.525860i
\(746\) −36.1510 6.37440i −1.32358 0.233383i
\(747\) 3.49971 4.41050i 0.128048 0.161372i
\(748\) −8.42803 14.5978i −0.308159 0.533748i
\(749\) 9.45341 16.3738i 0.345420 0.598285i
\(750\) −16.4305 + 9.78836i −0.599957 + 0.357420i
\(751\) −1.60959 1.91823i −0.0587347 0.0699973i 0.735877 0.677115i \(-0.236770\pi\)
−0.794612 + 0.607118i \(0.792326\pi\)
\(752\) −8.85839 5.11440i −0.323032 0.186503i
\(753\) −4.45776 11.7450i −0.162450 0.428010i
\(754\) −0.971760 + 2.66989i −0.0353894 + 0.0972316i
\(755\) 1.18992 6.74835i 0.0433055 0.245598i
\(756\) 11.5698 + 3.68079i 0.420791 + 0.133869i
\(757\) −7.22987 + 2.63146i −0.262774 + 0.0956419i −0.470048 0.882641i \(-0.655763\pi\)
0.207273 + 0.978283i \(0.433541\pi\)
\(758\) 16.7434 19.9540i 0.608147 0.724761i
\(759\) −6.61212 + 40.7527i −0.240005 + 1.47923i
\(760\) 9.49813 + 2.65884i 0.344533 + 0.0964462i
\(761\) 26.1918i 0.949453i −0.880133 0.474727i \(-0.842547\pi\)
0.880133 0.474727i \(-0.157453\pi\)
\(762\) 8.40409 + 9.74171i 0.304448 + 0.352905i
\(763\) −5.89312 16.1912i −0.213345 0.586161i
\(764\) −10.0791 + 1.77722i −0.364649 + 0.0642974i
\(765\) 18.7103 34.5581i 0.676473 1.24945i
\(766\) 2.22943 + 0.811445i 0.0805525 + 0.0293187i
\(767\) 3.79097 2.18872i 0.136884 0.0790301i
\(768\) −1.34194 1.09508i −0.0484230 0.0395153i
\(769\) 35.3779 29.6856i 1.27576 1.07049i 0.281948 0.959430i \(-0.409020\pi\)
0.993814 0.111061i \(-0.0354249\pi\)
\(770\) 11.7931 9.89560i 0.424995 0.356613i
\(771\) −12.4392 10.1509i −0.447987 0.365577i