Properties

Label 114.2.l.b.89.2
Level $114$
Weight $2$
Character 114.89
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 89.2
Root \(-1.73189 - 0.0237018i\) of defining polynomial
Character \(\chi\) \(=\) 114.89
Dual form 114.2.l.b.41.2

$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{18}\right)\)

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 0.348508 0.937306i \(-0.386689\pi\)
0.648067 + 0.761583i \(0.275577\pi\)
\(6\) 0.845418 + 1.51171i 0.345140 + 0.617153i
\(7\) −1.16829 + 2.02354i −0.441572 + 0.764826i −0.997806 0.0661999i \(-0.978912\pi\)
0.556234 + 0.831026i \(0.312246\pi\)
\(8\) −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 −0.0691039 0.997609i \(-0.522014\pi\)
0.829403 + 0.558650i \(0.188681\pi\)
\(12\) 1.61934 + 0.614613i 0.467462 + 0.177424i
\(13\) −0.451929 1.24167i −0.125343 0.344376i 0.861111 0.508417i \(-0.169769\pi\)
−0.986453 + 0.164041i \(0.947547\pi\)
\(14\) 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 −0.996793 0.0800172i \(-0.974502\pi\)
0.0942898 0.995545i \(-0.469942\pi\)
\(18\) −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 −0.750023 0.661412i \(-0.769958\pi\)
−0.931007 + 0.365001i \(0.881069\pi\)
\(24\) 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 0.782784 0.622293i \(-0.213799\pi\)
−0.476910 + 0.878952i \(0.658243\pi\)
\(30\) 2.47793 + 3.03652i 0.452406 + 0.554390i
\(31\) 5.27928 + 3.04799i 0.948186 + 0.547436i 0.892517 0.451014i \(-0.148937\pi\)
0.0556692 + 0.998449i \(0.482271\pi\)
\(32\) −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 \(-0.920970\pi\)
0.969336 0.245738i \(-0.0790304\pi\)
\(38\) 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 0.907115 0.420883i \(-0.138280\pi\)
0.424352 + 0.905497i \(0.360502\pi\)
\(42\) −4.04670 0.0553812i −0.624419 0.00854550i
\(43\) −0.0666074 0.377749i −0.0101575 0.0576062i 0.979308 0.202377i \(-0.0648666\pi\)
−0.989465 + 0.144771i \(0.953756\pi\)
\(44\) −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 −0.0306076 0.999531i \(-0.509744\pi\)
0.989661 0.143424i \(-0.0458113\pi\)
\(48\) 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 0.931870 + 0.362791i \(0.118176\pi\)
−0.999754 + 0.0221937i \(0.992935\pi\)
\(54\) −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 −0.792860 0.609404i \(-0.791409\pi\)
0.462468 + 0.886636i \(0.346964\pi\)
\(60\) 3.85004 + 0.733326i 0.497039 + 0.0946720i
\(61\) 1.01879 5.77787i 0.130443 0.739780i −0.847482 0.530824i \(-0.821882\pi\)
0.977925 0.208956i \(-0.0670064\pi\)
\(62\) 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 −0.539305 + 0.842111i \(0.681313\pi\)
−0.735668 + 0.677342i \(0.763132\pi\)
\(68\) −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 0.746758 + 0.665095i \(0.231609\pi\)
−0.474247 + 0.880392i \(0.657280\pi\)
\(72\) 0.439899 + 2.96757i 0.0518426 + 0.349732i
\(73\) 5.84733 + 2.12826i 0.684379 + 0.249093i 0.660726 0.750627i \(-0.270248\pi\)
0.0236522 + 0.999720i \(0.492471\pi\)
\(74\) −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 −0.798832 0.601554i \(-0.794548\pi\)
0.998612 + 0.0526618i \(0.0167705\pi\)
\(80\) −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 0.408139 0.912920i \(-0.366178\pi\)
−0.586542 + 0.809919i \(0.699511\pi\)
\(84\) −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 −0.631661 0.775244i \(-0.717627\pi\)
0.0144367 + 0.999896i \(0.495405\pi\)
\(90\) −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 0.981540 0.191255i \(-0.0612557\pi\)
−0.358792 + 0.933418i \(0.616811\pi\)
\(98\) 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 −0.948232 0.317580i \(-0.897130\pi\)
0.522251 0.852792i \(-0.325092\pi\)
\(102\) 3.55802 9.37439i 0.352296 0.928203i
\(103\) 7.59279 4.38370i 0.748140 0.431939i −0.0768818 0.997040i \(-0.524496\pi\)
0.825021 + 0.565102i \(0.191163\pi\)
\(104\) −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 −0.601473 0.798893i \(-0.705419\pi\)
0.992598 + 0.121444i \(0.0387526\pi\)
\(108\) −3.84005 3.50058i −0.369509 0.336843i
\(109\) 7.26213 1.28051i 0.695586 0.122651i 0.185334 0.982676i \(-0.440663\pi\)
0.510252 + 0.860025i \(0.329552\pi\)
\(110\) 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 0.774475 0.632605i \(-0.218014\pi\)
−0.999913 + 0.0132192i \(0.995792\pi\)
\(128\) 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 −0.981510 0.191409i \(-0.938694\pi\)
−0.0180637 0.999837i \(-0.505750\pi\)
\(132\) 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 0.814685 0.579904i \(-0.196910\pi\)
0.567215 + 0.823570i \(0.308021\pi\)
\(138\) −4.66675 13.3891i −0.397261 1.13976i
\(139\) −18.1680 + 6.61260i −1.54099 + 0.560873i −0.966282 0.257487i \(-0.917106\pi\)
−0.574705 + 0.818360i \(0.694883\pi\)
\(140\) 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 −0.996634 0.0819794i \(-0.973876\pi\)
0.816161 + 0.577824i \(0.196098\pi\)
\(150\) 0.157641 + 0.135996i 0.0128714 + 0.0111040i
\(151\) 3.02833i 0.246442i 0.992379 + 0.123221i \(0.0393223\pi\)
−0.992379 + 0.123221i \(0.960678\pi\)
\(152\) 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 0.768949 + 0.639311i \(0.220780\pi\)
−0.503918 + 0.863751i \(0.668109\pi\)
\(158\) −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 0.719020 0.694989i \(-0.244591\pi\)
−0.961388 + 0.275195i \(0.911258\pi\)
\(164\) 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 −0.941277 0.337636i \(-0.890373\pi\)
0.999989 + 0.00466148i \(0.00148380\pi\)
\(168\) −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 −0.0959786 0.995383i \(-0.530598\pi\)
0.963595 + 0.267367i \(0.0861536\pi\)
\(174\) −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 0.921959 0.387288i \(-0.126588\pi\)
−0.796381 + 0.604796i \(0.793255\pi\)
\(180\) −2.49545 + 6.31304i −0.186000 + 0.470547i
\(181\) 12.7706 15.2194i 0.949231 1.13125i −0.0420013 0.999118i \(-0.513373\pi\)
0.991232 0.132132i \(-0.0421822\pi\)
\(182\) 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 \(-0.879264\pi\)
0.928923 0.370274i \(-0.120736\pi\)
\(192\) −1.31147 1.13139i −0.0946471 0.0816513i
\(193\) −0.784644 + 2.15579i −0.0564799 + 0.155177i −0.964724 0.263264i \(-0.915201\pi\)
0.908244 + 0.418441i \(0.137423\pi\)
\(194\) 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 0.681984 0.731367i \(-0.261117\pi\)
−0.292390 + 0.956299i \(0.594450\pi\)
\(198\) −5.79588 + 6.53537i −0.411895 + 0.464449i
\(199\) −7.96251 6.68134i −0.564447 0.473628i 0.315351 0.948975i \(-0.397878\pi\)
−0.879798 + 0.475348i \(0.842322\pi\)
\(200\) −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 0.628442 0.777856i \(-0.283693\pi\)
−0.875167 + 0.483821i \(0.839248\pi\)
\(212\) 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 −3.40741e−6 1.00000i \(-0.500001\pi\)
0.342017 + 0.939694i \(0.388890\pi\)
\(224\) 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 −0.852019 0.523510i \(-0.824622\pi\)
−0.621585 + 0.783346i \(0.713511\pi\)
\(234\) 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 −0.412562 0.910929i \(-0.635366\pi\)
0.582607 + 0.812754i \(0.302033\pi\)
\(240\) 1.39074 3.66421i 0.0897718 0.236524i
\(241\) −1.35157 3.71341i −0.0870624 0.239202i 0.888519 0.458840i \(-0.151735\pi\)
−0.975582 + 0.219638i \(0.929512\pi\)
\(242\) 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 0.394461 0.918913i \(-0.370931\pi\)
0.0563857 + 0.998409i \(0.482042\pi\)
\(252\) −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 0.836809 0.547495i \(-0.184418\pi\)
−0.393867 + 0.919168i \(0.628863\pi\)
\(258\) 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 −0.896620 0.442801i \(-0.853985\pi\)
0.971478 + 0.237131i \(0.0762070\pi\)
\(264\) 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 0.194463 0.980910i \(-0.437703\pi\)
−0.481549 + 0.876419i \(0.659926\pi\)
\(270\) −3.56454 11.2044i −0.216931 0.681881i
\(271\) −1.60600 9.10806i −0.0975574 0.553275i −0.993934 0.109981i \(-0.964921\pi\)
0.896376 0.443294i \(-0.146190\pi\)
\(272\) 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 0.957317 0.289039i \(-0.0933356\pi\)
−0.728974 + 0.684542i \(0.760002\pi\)
\(278\) −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 −0.814610 0.580009i \(-0.803049\pi\)
0.963858 0.266417i \(-0.0858397\pi\)
\(282\) 17.4039 + 3.31496i 1.03639 + 0.197403i
\(283\) 7.59307 6.37134i 0.451361 0.378737i −0.388579 0.921415i \(-0.627034\pi\)
0.839941 + 0.542678i \(0.182590\pi\)
\(284\) 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 0.720545 0.693408i \(-0.243892\pi\)
−0.960782 + 0.277306i \(0.910558\pi\)
\(294\) −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 −0.998476 0.0551795i \(-0.982427\pi\)
0.800346 + 0.599538i \(0.204649\pi\)
\(308\) 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 0.755587 0.655048i \(-0.227352\pi\)
−0.189494 + 0.981882i \(0.560685\pi\)
\(312\) −1.44699 1.77317i −0.0819195 0.100386i
\(313\) 2.29638 + 1.92690i 0.129799 + 0.108915i 0.705376 0.708833i \(-0.250778\pi\)
−0.575577 + 0.817748i \(0.695222\pi\)
\(314\) 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 −0.737279 0.675588i \(-0.763890\pi\)
−0.130529 + 0.991445i \(0.541667\pi\)
\(318\) −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 −0.457869 0.889020i \(-0.651387\pi\)
0.540979 + 0.841036i \(0.318054\pi\)
\(332\) −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 −0.549325 0.835609i \(-0.685115\pi\)
−0.230402 + 0.973096i \(0.574004\pi\)
\(338\) 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 −0.314322 0.949316i \(-0.601777\pi\)
0.0293192 + 0.999570i \(0.490666\pi\)
\(348\) 1.81786 + 3.25055i 0.0974474 + 0.174248i
\(349\) −1.57657 + 2.73070i −0.0843920 + 0.146171i −0.905132 0.425131i \(-0.860228\pi\)
0.820740 + 0.571302i \(0.193561\pi\)
\(350\) 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 0.122822 0.992429i \(-0.460805\pi\)
0.920880 + 0.389847i \(0.127472\pi\)
\(354\) −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 0.415341 0.909666i \(-0.363662\pi\)
−0.967969 + 0.251069i \(0.919218\pi\)
\(360\) 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 0.0353474 0.999375i \(-0.488746\pi\)
0.669464 + 0.742845i \(0.266524\pi\)
\(368\) 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 −0.978617 0.205689i \(-0.934056\pi\)
−0.667441 0.744663i \(-0.732610\pi\)
\(374\) −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 \(0.233277\pi\)
−0.743263 + 0.669000i \(0.766723\pi\)
\(380\) 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 0.398350 0.917233i \(-0.369583\pi\)
−0.284432 + 0.958696i \(0.591805\pi\)
\(384\) −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 −0.998055 0.0623389i \(-0.980144\pi\)
0.234702 + 0.972067i \(0.424588\pi\)
\(390\) 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 −0.501031 0.865430i \(-0.667046\pi\)
0.765279 + 0.643699i \(0.222601\pi\)
\(398\) −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 −0.188569 + 0.982060i \(0.560385\pi\)
−0.999885 + 0.0151712i \(0.995171\pi\)
\(402\) −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 −0.887370 0.461057i \(-0.847470\pi\)
0.608143 + 0.793827i \(0.291915\pi\)
\(410\) 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 \(-0.997911\pi\)
0.999978 0.00656225i \(-0.00208885\pi\)
\(420\) −5.98188 + 6.93398i −0.291886 + 0.338343i
\(421\) 6.44528 17.7083i 0.314124 0.863048i −0.677689 0.735348i \(-0.737019\pi\)
0.991813 0.127699i \(-0.0407592\pi\)
\(422\) −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 −0.139551 0.990215i \(-0.544566\pi\)
0.529595 + 0.848250i \(0.322344\pi\)
\(432\) −4.11421 + 3.17384i −0.197945 + 0.152701i
\(433\) 8.52374 + 1.50296i 0.409625 + 0.0722279i 0.374664 0.927161i \(-0.377758\pi\)
0.0349610 + 0.999389i \(0.488869\pi\)
\(434\) −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 0.230122 0.973162i \(-0.426088\pi\)
−0.998338 + 0.0576380i \(0.981643\pi\)
\(440\) −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 0.876110 0.482112i \(-0.160130\pi\)
−0.981035 + 0.193833i \(0.937908\pi\)
\(444\) 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 0.463351 + 0.886175i \(0.346647\pi\)
−0.999125 + 0.0418133i \(0.986687\pi\)
\(450\) −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 −0.611644 0.791133i \(-0.709491\pi\)
−0.304174 + 0.952617i \(0.598380\pi\)
\(462\) −10.2849 + 5.75179i −0.478497 + 0.267597i
\(463\) 0.304139 0.526785i 0.0141346 0.0244818i −0.858872 0.512191i \(-0.828834\pi\)
0.873006 + 0.487709i \(0.162167\pi\)
\(464\) −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 −0.781524 0.623875i \(-0.785558\pi\)
0.149529 + 0.988757i \(0.452224\pi\)
\(468\) 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 0.385831 0.922570i \(-0.373915\pi\)
0.0470248 + 0.998894i \(0.485026\pi\)
\(480\) −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 0.980891 0.194557i \(-0.0623269\pi\)
0.321954 + 0.946755i \(0.395660\pi\)
\(488\) −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 −0.995102 0.0988527i \(-0.968483\pi\)
0.825834 + 0.563914i \(0.190705\pi\)
\(492\) 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 −0.837496 0.546444i \(-0.815981\pi\)
0.600094 0.799930i \(-0.295130\pi\)
\(500\) 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 −0.470238 0.882540i \(-0.655832\pi\)
0.950788 + 0.309843i \(0.100276\pi\)
\(504\) −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 −0.204962 0.978770i \(-0.565707\pi\)
0.527360 0.849642i \(-0.323182\pi\)
\(510\) 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 0.964920 0.262543i \(-0.0845612\pi\)
−0.709829 + 0.704374i \(0.751228\pi\)
\(522\) −5.99907 2.37134i −0.262572 0.103791i
\(523\) 1.24233 1.48055i 0.0543231 0.0647398i −0.738199 0.674583i \(-0.764323\pi\)
0.792522 + 0.609844i \(0.208768\pi\)
\(524\) −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 0.455505 0.890233i \(-0.349459\pi\)
−0.797611 + 0.603172i \(0.793903\pi\)
\(542\) −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 0.661600 0.749857i \(-0.269878\pi\)
0.365235 + 0.930915i \(0.380989\pi\)
\(548\) 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 −0.995279 0.0970547i \(-0.969058\pi\)
0.700042 0.714101i \(-0.253164\pi\)
\(558\) −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 −0.857668 0.514204i \(-0.828087\pi\)
0.874148 + 0.485660i \(0.161421\pi\)
\(564\) 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 0.0682191 + 0.997670i \(0.478268\pi\)
−0.898117 + 0.439756i \(0.855065\pi\)
\(578\) 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 0.880095 + 0.474797i \(0.157479\pi\)
0.314757 + 0.949172i \(0.398077\pi\)
\(588\) 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 0.738050 0.674746i \(-0.235747\pi\)
0.462763 + 0.886482i \(0.346858\pi\)
\(594\) −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 0.979133 0.203222i \(-0.0651413\pi\)
−0.0301101 + 0.999547i \(0.509586\pi\)
\(600\) 0.161304 0.131631i 0.00658521 0.00537381i
\(601\) 19.5471 + 11.2855i 0.797343 + 0.460346i 0.842541 0.538632i \(-0.181059\pi\)
−0.0451983 + 0.998978i \(0.514392\pi\)
\(602\) 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 \(0.148556\pi\)
−0.893057 + 0.449943i \(0.851444\pi\)
\(608\) 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 −0.935276 0.353919i \(-0.884849\pi\)
0.757825 0.652458i \(-0.226262\pi\)
\(614\) 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 −0.831045 0.556206i \(-0.812257\pi\)
0.692065 + 0.721835i \(0.256701\pi\)
\(618\) 13.0460 + 7.77204i 0.524785 + 0.312637i
\(619\) −10.8898 18.8617i −0.437699 0.758117i 0.559813 0.828619i \(-0.310873\pi\)
−0.997512 + 0.0705023i \(0.977540\pi\)
\(620\) 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 0.893873 + 0.448321i \(0.147978\pi\)
−0.993300 + 0.115561i \(0.963133\pi\)
\(632\) −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 0.999468 0.0326255i \(-0.0103869\pi\)
−0.950351 + 0.311180i \(0.899276\pi\)
\(642\) 14.0139 + 0.191787i 0.553083 + 0.00756923i
\(643\) 9.97359 + 3.63009i 0.393320 + 0.143157i 0.531106 0.847305i \(-0.321776\pi\)
−0.137786 + 0.990462i \(0.543999\pi\)
\(644\) −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 \(0.165342\pi\)
−0.868098 + 0.496393i \(0.834658\pi\)
\(648\) 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 0.584382 0.811479i \(-0.301337\pi\)
−0.410570 + 0.911829i \(0.634670\pi\)
\(654\) 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 −0.961533 0.274688i \(-0.911425\pi\)
−0.560011 + 0.828485i \(0.689203\pi\)
\(660\) 10.7760 3.75596i 0.419455 0.146201i
\(661\) −46.7645 8.24585i −1.81893 0.320726i −0.842851 0.538147i \(-0.819125\pi\)
−0.976078 + 0.217421i \(0.930236\pi\)
\(662\) 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 −0.997014 0.0772240i \(-0.975394\pi\)
−0.431629 + 0.902051i \(0.642061\pi\)
\(674\) −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 0.374625 + 0.927176i \(0.377771\pi\)
−0.990271 + 0.139153i \(0.955562\pi\)
\(678\) −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 −0.441121 0.897447i \(-0.645419\pi\)
0.997773 0.0667014i \(-0.0212475\pi\)
\(692\) −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 0.636466 0.771305i \(-0.280396\pi\)
−0.870108 + 0.492861i \(0.835951\pi\)
\(702\) −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 −0.293753 0.955881i \(-0.594904\pi\)
0.389400 + 0.921069i \(0.372682\pi\)
\(710\) 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 −0.870396 0.492353i \(-0.836137\pi\)
0.983240 + 0.182315i \(0.0583591\pi\)
\(720\) 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 −0.830693 0.556730i \(-0.812056\pi\)
0.590183 0.807269i \(-0.299055\pi\)
\(728\) −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 0.983717 + 0.179726i \(0.0575211\pi\)
−0.336211 + 0.941787i \(0.609146\pi\)
\(734\) 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 −0.187905 0.982187i \(-0.560170\pi\)
0.934636 + 0.355606i \(0.115725\pi\)
\(740\) −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 −0.0774234 0.996998i \(-0.524669\pi\)
0.968407 + 0.249374i \(0.0802249\pi\)
\(744\) 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 −0.794612 0.607118i \(-0.792326\pi\)
0.735877 + 0.677115i \(0.236770\pi\)
\(752\) −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 0.207273 0.978283i \(-0.433541\pi\)
−0.470048 + 0.882641i \(0.655763\pi\)
\(758\) 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 \(0.157453\pi\)
−0.880133 + 0.474727i \(0.842547\pi\)
\(762\) 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 0.993814 + 0.111061i \(0.0354249\pi\)
0.281948 + 0.959430i \(0.409020\pi\)
\(770\) 11.7931 + 9.89560i 0.424995 + 0.356613i
\(771\) −12.4392 + 10.1509i −0.447987 + 0.365577i