Properties

Label 138.2.f.a.17.1
Level $138$
Weight $2$
Character 138.17
Analytic conductor $1.102$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 138 = 2 \cdot 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 138.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.10193554789\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(8\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 17.1
Character \(\chi\) \(=\) 138.17
Dual form 138.2.f.a.65.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.909632 - 0.415415i) q^{2} +(-1.72827 - 0.114314i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.19773 + 0.769732i) q^{5} +(1.52461 + 0.821935i) q^{6} +(3.68797 + 0.530250i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(2.97386 + 0.395131i) q^{9} +O(q^{10})\) \(q+(-0.909632 - 0.415415i) q^{2} +(-1.72827 - 0.114314i) q^{3} +(0.654861 + 0.755750i) q^{4} +(-1.19773 + 0.769732i) q^{5} +(1.52461 + 0.821935i) q^{6} +(3.68797 + 0.530250i) q^{7} +(-0.281733 - 0.959493i) q^{8} +(2.97386 + 0.395131i) q^{9} +(1.40925 - 0.202619i) q^{10} +(2.16359 + 4.73760i) q^{11} +(-1.04539 - 1.38100i) q^{12} +(0.0252260 + 0.175451i) q^{13} +(-3.13442 - 2.01437i) q^{14} +(2.15799 - 1.19339i) q^{15} +(-0.142315 + 0.989821i) q^{16} +(4.04561 - 4.66888i) q^{17} +(-2.54098 - 1.59481i) q^{18} +(-3.14485 + 2.72503i) q^{19} +(-1.36607 - 0.401114i) q^{20} +(-6.31321 - 1.33800i) q^{21} -5.20826i q^{22} +(2.80913 + 3.88700i) q^{23} +(0.377228 + 1.69047i) q^{24} +(-1.23501 + 2.70430i) q^{25} +(0.0499385 - 0.170075i) q^{26} +(-5.09449 - 1.02285i) q^{27} +(2.01437 + 3.13442i) q^{28} +(-1.92187 - 1.66531i) q^{29} +(-2.45873 + 0.189085i) q^{30} +(-2.86031 + 0.839864i) q^{31} +(0.540641 - 0.841254i) q^{32} +(-3.19770 - 8.43520i) q^{33} +(-5.61954 + 2.56636i) q^{34} +(-4.82533 + 2.20366i) q^{35} +(1.64885 + 2.50625i) q^{36} +(5.03596 - 7.83610i) q^{37} +(3.99267 - 1.17235i) q^{38} +(-0.0235410 - 0.306111i) q^{39} +(1.07599 + 0.932352i) q^{40} +(-1.83979 - 2.86277i) q^{41} +(5.18687 + 3.83970i) q^{42} +(-0.117381 + 0.399763i) q^{43} +(-2.16359 + 4.73760i) q^{44} +(-3.86602 + 1.81582i) q^{45} +(-0.940555 - 4.70270i) q^{46} +0.926457i q^{47} +(0.359109 - 1.69441i) q^{48} +(6.60353 + 1.93897i) q^{49} +(2.24682 - 1.94688i) q^{50} +(-7.52564 + 7.60664i) q^{51} +(-0.116077 + 0.133960i) q^{52} +(-0.0855320 + 0.594888i) q^{53} +(4.20920 + 3.04674i) q^{54} +(-6.23807 - 4.00896i) q^{55} +(-0.530250 - 3.68797i) q^{56} +(5.74667 - 4.35009i) q^{57} +(1.05640 + 2.31319i) q^{58} +(14.9640 - 2.15150i) q^{59} +(2.31509 + 0.849396i) q^{60} +(1.56365 + 5.32531i) q^{61} +(2.95072 + 0.424250i) q^{62} +(10.7580 + 3.03413i) q^{63} +(-0.841254 + 0.540641i) q^{64} +(-0.165264 - 0.190725i) q^{65} +(-0.595376 + 9.00130i) q^{66} +(0.822269 + 0.375518i) q^{67} +6.17782 q^{68} +(-4.41061 - 7.03893i) q^{69} +5.30471 q^{70} +(-8.13332 - 3.71436i) q^{71} +(-0.458709 - 2.96472i) q^{72} +(-7.53110 - 8.69136i) q^{73} +(-7.83610 + 5.03596i) q^{74} +(2.44358 - 4.53260i) q^{75} +(-4.11887 - 0.592205i) q^{76} +(5.46714 + 18.6194i) q^{77} +(-0.105749 + 0.288227i) q^{78} +(3.47110 - 0.499068i) q^{79} +(-0.591443 - 1.29508i) q^{80} +(8.68774 + 2.35013i) q^{81} +(0.484294 + 3.36834i) q^{82} +(-12.4026 - 7.97068i) q^{83} +(-3.12308 - 5.64742i) q^{84} +(-1.25175 + 8.70608i) q^{85} +(0.272841 - 0.314875i) q^{86} +(3.13115 + 3.09781i) q^{87} +(3.93614 - 3.41068i) q^{88} +(-2.47074 - 0.725476i) q^{89} +(4.27098 - 0.0457245i) q^{90} +0.660433i q^{91} +(-1.09801 + 4.66844i) q^{92} +(5.03941 - 1.12454i) q^{93} +(0.384864 - 0.842735i) q^{94} +(1.66913 - 5.68453i) q^{95} +(-1.03054 + 1.39211i) q^{96} +(-4.87143 - 7.58010i) q^{97} +(-5.20130 - 4.50695i) q^{98} +(4.56225 + 14.9439i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 80 q + 4 q^{3} + 8 q^{4} + 4 q^{6} - 4 q^{12} + 8 q^{13} - 22 q^{15} - 8 q^{16} - 28 q^{18} - 66 q^{21} - 4 q^{24} - 48 q^{25} - 38 q^{27} - 44 q^{30} - 16 q^{31} - 22 q^{33} - 44 q^{37} - 24 q^{39} - 44 q^{43} - 16 q^{46} + 4 q^{48} - 76 q^{49} - 8 q^{52} - 6 q^{54} + 64 q^{55} + 66 q^{57} + 36 q^{58} + 22 q^{60} + 88 q^{61} + 110 q^{63} + 8 q^{64} + 88 q^{66} + 44 q^{67} + 82 q^{69} + 112 q^{70} + 28 q^{72} + 52 q^{73} + 136 q^{75} + 82 q^{78} + 88 q^{79} + 36 q^{81} + 44 q^{82} + 22 q^{84} + 20 q^{85} - 10 q^{87} + 8 q^{93} - 56 q^{94} + 4 q^{96} - 132 q^{97} - 66 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(97\)
\(\chi(n)\) \(-1\) \(e\left(\frac{7}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.909632 0.415415i −0.643207 0.293743i
\(3\) −1.72827 0.114314i −0.997820 0.0659991i
\(4\) 0.654861 + 0.755750i 0.327430 + 0.377875i
\(5\) −1.19773 + 0.769732i −0.535640 + 0.344235i −0.780331 0.625366i \(-0.784950\pi\)
0.244692 + 0.969601i \(0.421313\pi\)
\(6\) 1.52461 + 0.821935i 0.622418 + 0.335553i
\(7\) 3.68797 + 0.530250i 1.39392 + 0.200416i 0.798015 0.602637i \(-0.205883\pi\)
0.595907 + 0.803053i \(0.296792\pi\)
\(8\) −0.281733 0.959493i −0.0996075 0.339232i
\(9\) 2.97386 + 0.395131i 0.991288 + 0.131710i
\(10\) 1.40925 0.202619i 0.445644 0.0640739i
\(11\) 2.16359 + 4.73760i 0.652347 + 1.42844i 0.889485 + 0.456964i \(0.151063\pi\)
−0.237139 + 0.971476i \(0.576210\pi\)
\(12\) −1.04539 1.38100i −0.301777 0.398661i
\(13\) 0.0252260 + 0.175451i 0.00699643 + 0.0486613i 0.993021 0.117941i \(-0.0376294\pi\)
−0.986024 + 0.166602i \(0.946720\pi\)
\(14\) −3.13442 2.01437i −0.837710 0.538364i
\(15\) 2.15799 1.19339i 0.557191 0.308132i
\(16\) −0.142315 + 0.989821i −0.0355787 + 0.247455i
\(17\) 4.04561 4.66888i 0.981204 1.13237i −0.00998944 0.999950i \(-0.503180\pi\)
0.991194 0.132420i \(-0.0422748\pi\)
\(18\) −2.54098 1.59481i −0.598915 0.375901i
\(19\) −3.14485 + 2.72503i −0.721478 + 0.625164i −0.936182 0.351515i \(-0.885667\pi\)
0.214705 + 0.976679i \(0.431121\pi\)
\(20\) −1.36607 0.401114i −0.305462 0.0896918i
\(21\) −6.31321 1.33800i −1.37766 0.291977i
\(22\) 5.20826i 1.11040i
\(23\) 2.80913 + 3.88700i 0.585744 + 0.810496i
\(24\) 0.377228 + 1.69047i 0.0770013 + 0.345066i
\(25\) −1.23501 + 2.70430i −0.247003 + 0.540860i
\(26\) 0.0499385 0.170075i 0.00979374 0.0333544i
\(27\) −5.09449 1.02285i −0.980434 0.196847i
\(28\) 2.01437 + 3.13442i 0.380681 + 0.592350i
\(29\) −1.92187 1.66531i −0.356882 0.309240i 0.457904 0.889002i \(-0.348600\pi\)
−0.814786 + 0.579761i \(0.803146\pi\)
\(30\) −2.45873 + 0.189085i −0.448901 + 0.0345221i
\(31\) −2.86031 + 0.839864i −0.513728 + 0.150844i −0.528313 0.849050i \(-0.677175\pi\)
0.0145856 + 0.999894i \(0.495357\pi\)
\(32\) 0.540641 0.841254i 0.0955727 0.148714i
\(33\) −3.19770 8.43520i −0.556649 1.46838i
\(34\) −5.61954 + 2.56636i −0.963743 + 0.440127i
\(35\) −4.82533 + 2.20366i −0.815630 + 0.372486i
\(36\) 1.64885 + 2.50625i 0.274808 + 0.417709i
\(37\) 5.03596 7.83610i 0.827906 1.28825i −0.127168 0.991881i \(-0.540589\pi\)
0.955074 0.296366i \(-0.0957748\pi\)
\(38\) 3.99267 1.17235i 0.647697 0.190181i
\(39\) −0.0235410 0.306111i −0.00376958 0.0490169i
\(40\) 1.07599 + 0.932352i 0.170129 + 0.147418i
\(41\) −1.83979 2.86277i −0.287327 0.447089i 0.667346 0.744748i \(-0.267430\pi\)
−0.954672 + 0.297659i \(0.903794\pi\)
\(42\) 5.18687 + 3.83970i 0.800352 + 0.592478i
\(43\) −0.117381 + 0.399763i −0.0179004 + 0.0609633i −0.967959 0.251109i \(-0.919205\pi\)
0.950058 + 0.312072i \(0.101023\pi\)
\(44\) −2.16359 + 4.73760i −0.326173 + 0.714220i
\(45\) −3.86602 + 1.81582i −0.576313 + 0.270687i
\(46\) −0.940555 4.70270i −0.138677 0.693375i
\(47\) 0.926457i 0.135138i 0.997715 + 0.0675688i \(0.0215242\pi\)
−0.997715 + 0.0675688i \(0.978476\pi\)
\(48\) 0.359109 1.69441i 0.0518330 0.244568i
\(49\) 6.60353 + 1.93897i 0.943361 + 0.276996i
\(50\) 2.24682 1.94688i 0.317748 0.275330i
\(51\) −7.52564 + 7.60664i −1.05380 + 1.06514i
\(52\) −0.116077 + 0.133960i −0.0160970 + 0.0185769i
\(53\) −0.0855320 + 0.594888i −0.0117487 + 0.0817141i −0.994852 0.101336i \(-0.967688\pi\)
0.983103 + 0.183051i \(0.0585972\pi\)
\(54\) 4.20920 + 3.04674i 0.572800 + 0.414609i
\(55\) −6.23807 4.00896i −0.841141 0.540569i
\(56\) −0.530250 3.68797i −0.0708577 0.492826i
\(57\) 5.74667 4.35009i 0.761165 0.576184i
\(58\) 1.05640 + 2.31319i 0.138712 + 0.303737i
\(59\) 14.9640 2.15150i 1.94815 0.280101i 0.948788 0.315914i \(-0.102311\pi\)
0.999359 + 0.0358128i \(0.0114020\pi\)
\(60\) 2.31509 + 0.849396i 0.298877 + 0.109657i
\(61\) 1.56365 + 5.32531i 0.200205 + 0.681837i 0.996987 + 0.0775694i \(0.0247159\pi\)
−0.796782 + 0.604267i \(0.793466\pi\)
\(62\) 2.95072 + 0.424250i 0.374742 + 0.0538798i
\(63\) 10.7580 + 3.03413i 1.35538 + 0.382264i
\(64\) −0.841254 + 0.540641i −0.105157 + 0.0675801i
\(65\) −0.165264 0.190725i −0.0204985 0.0236565i
\(66\) −0.595376 + 9.00130i −0.0732857 + 1.10798i
\(67\) 0.822269 + 0.375518i 0.100456 + 0.0458768i 0.465009 0.885306i \(-0.346051\pi\)
−0.364553 + 0.931183i \(0.618778\pi\)
\(68\) 6.17782 0.749170
\(69\) −4.41061 7.03893i −0.530975 0.847388i
\(70\) 5.30471 0.634034
\(71\) −8.13332 3.71436i −0.965247 0.440814i −0.130501 0.991448i \(-0.541658\pi\)
−0.834746 + 0.550635i \(0.814386\pi\)
\(72\) −0.458709 2.96472i −0.0540594 0.349396i
\(73\) −7.53110 8.69136i −0.881449 1.01725i −0.999706 0.0242633i \(-0.992276\pi\)
0.118257 0.992983i \(-0.462269\pi\)
\(74\) −7.83610 + 5.03596i −0.910928 + 0.585418i
\(75\) 2.44358 4.53260i 0.282160 0.523379i
\(76\) −4.11887 0.592205i −0.472467 0.0679305i
\(77\) 5.46714 + 18.6194i 0.623039 + 2.12188i
\(78\) −0.105749 + 0.288227i −0.0119737 + 0.0326353i
\(79\) 3.47110 0.499068i 0.390529 0.0561496i 0.0557462 0.998445i \(-0.482246\pi\)
0.334783 + 0.942295i \(0.391337\pi\)
\(80\) −0.591443 1.29508i −0.0661254 0.144794i
\(81\) 8.68774 + 2.35013i 0.965305 + 0.261126i
\(82\) 0.484294 + 3.36834i 0.0534813 + 0.371971i
\(83\) −12.4026 7.97068i −1.36136 0.874896i −0.362985 0.931795i \(-0.618242\pi\)
−0.998380 + 0.0568991i \(0.981879\pi\)
\(84\) −3.12308 5.64742i −0.340756 0.616184i
\(85\) −1.25175 + 8.70608i −0.135771 + 0.944307i
\(86\) 0.272841 0.314875i 0.0294212 0.0339539i
\(87\) 3.13115 + 3.09781i 0.335694 + 0.332120i
\(88\) 3.93614 3.41068i 0.419594 0.363580i
\(89\) −2.47074 0.725476i −0.261898 0.0769003i 0.148147 0.988965i \(-0.452669\pi\)
−0.410046 + 0.912065i \(0.634487\pi\)
\(90\) 4.27098 0.0457245i 0.450201 0.00481978i
\(91\) 0.660433i 0.0692322i
\(92\) −1.09801 + 4.66844i −0.114476 + 0.486719i
\(93\) 5.03941 1.12454i 0.522563 0.116610i
\(94\) 0.384864 0.842735i 0.0396957 0.0869214i
\(95\) 1.66913 5.68453i 0.171249 0.583220i
\(96\) −1.03054 + 1.39211i −0.105179 + 0.142082i
\(97\) −4.87143 7.58010i −0.494619 0.769642i 0.500768 0.865581i \(-0.333051\pi\)
−0.995387 + 0.0959391i \(0.969415\pi\)
\(98\) −5.20130 4.50695i −0.525411 0.455271i
\(99\) 4.56225 + 14.9439i 0.458523 + 1.50192i
\(100\) −2.85254 + 0.837580i −0.285254 + 0.0837580i
\(101\) −1.33671 + 2.07995i −0.133007 + 0.206963i −0.901368 0.433053i \(-0.857436\pi\)
0.768361 + 0.640017i \(0.221073\pi\)
\(102\) 10.0055 3.79298i 0.990690 0.375561i
\(103\) 11.1690 5.10071i 1.10051 0.502588i 0.219468 0.975620i \(-0.429568\pi\)
0.881045 + 0.473032i \(0.156840\pi\)
\(104\) 0.161237 0.0736343i 0.0158106 0.00722044i
\(105\) 8.59141 3.25692i 0.838436 0.317843i
\(106\) 0.324928 0.505598i 0.0315598 0.0491080i
\(107\) −3.30948 + 0.971752i −0.319940 + 0.0939428i −0.437759 0.899092i \(-0.644228\pi\)
0.117819 + 0.993035i \(0.462410\pi\)
\(108\) −2.56316 4.51998i −0.246640 0.434935i
\(109\) −4.07200 3.52841i −0.390027 0.337960i 0.437670 0.899136i \(-0.355804\pi\)
−0.827697 + 0.561176i \(0.810349\pi\)
\(110\) 4.00896 + 6.23807i 0.382240 + 0.594777i
\(111\) −9.59929 + 12.9673i −0.911124 + 1.23080i
\(112\) −1.04971 + 3.57497i −0.0991879 + 0.337803i
\(113\) −5.92458 + 12.9730i −0.557338 + 1.22040i 0.395932 + 0.918280i \(0.370422\pi\)
−0.953270 + 0.302120i \(0.902306\pi\)
\(114\) −7.03445 + 1.56973i −0.658836 + 0.147019i
\(115\) −6.35652 2.49329i −0.592749 0.232500i
\(116\) 2.54300i 0.236111i
\(117\) 0.00569267 + 0.531734i 0.000526288 + 0.0491588i
\(118\) −14.5055 4.25920i −1.33534 0.392091i
\(119\) 17.3958 15.0735i 1.59467 1.38179i
\(120\) −1.75303 1.73436i −0.160029 0.158325i
\(121\) −10.5603 + 12.1872i −0.960023 + 1.10793i
\(122\) 0.789866 5.49364i 0.0715111 0.497371i
\(123\) 2.85240 + 5.15796i 0.257193 + 0.465077i
\(124\) −2.50783 1.61169i −0.225210 0.144734i
\(125\) −1.61548 11.2359i −0.144493 1.00497i
\(126\) −8.52541 7.22898i −0.759504 0.644009i
\(127\) −7.14589 15.6473i −0.634095 1.38847i −0.904810 0.425815i \(-0.859988\pi\)
0.270716 0.962659i \(-0.412740\pi\)
\(128\) 0.989821 0.142315i 0.0874887 0.0125790i
\(129\) 0.248565 0.677482i 0.0218849 0.0596489i
\(130\) 0.0710994 + 0.242142i 0.00623583 + 0.0212373i
\(131\) −8.06318 1.15931i −0.704484 0.101289i −0.219243 0.975670i \(-0.570359\pi\)
−0.485240 + 0.874381i \(0.661268\pi\)
\(132\) 4.28085 7.94054i 0.372600 0.691135i
\(133\) −13.0431 + 8.38226i −1.13098 + 0.726835i
\(134\) −0.591967 0.683166i −0.0511381 0.0590165i
\(135\) 6.88912 2.69630i 0.592921 0.232060i
\(136\) −5.61954 2.56636i −0.481871 0.220063i
\(137\) −8.66200 −0.740044 −0.370022 0.929023i \(-0.620650\pi\)
−0.370022 + 0.929023i \(0.620650\pi\)
\(138\) 1.08795 + 8.23507i 0.0926128 + 0.701016i
\(139\) −7.72875 −0.655544 −0.327772 0.944757i \(-0.606298\pi\)
−0.327772 + 0.944757i \(0.606298\pi\)
\(140\) −4.82533 2.20366i −0.407815 0.186243i
\(141\) 0.105907 1.60117i 0.00891896 0.134843i
\(142\) 5.85532 + 6.75740i 0.491368 + 0.567069i
\(143\) −0.776636 + 0.499114i −0.0649456 + 0.0417380i
\(144\) −0.814334 + 2.88736i −0.0678612 + 0.240614i
\(145\) 3.58372 + 0.515261i 0.297611 + 0.0427901i
\(146\) 3.24001 + 11.0345i 0.268145 + 0.913219i
\(147\) −11.1911 4.10595i −0.923023 0.338653i
\(148\) 9.21998 1.32563i 0.757878 0.108966i
\(149\) −2.20569 4.82978i −0.180697 0.395671i 0.797509 0.603307i \(-0.206151\pi\)
−0.978206 + 0.207635i \(0.933423\pi\)
\(150\) −4.10567 + 3.10789i −0.335226 + 0.253759i
\(151\) 2.78222 + 19.3508i 0.226414 + 1.57474i 0.713034 + 0.701130i \(0.247321\pi\)
−0.486620 + 0.873614i \(0.661770\pi\)
\(152\) 3.50065 + 2.24973i 0.283940 + 0.182477i
\(153\) 13.8759 12.2861i 1.12180 0.993270i
\(154\) 2.76168 19.2079i 0.222543 1.54782i
\(155\) 2.77940 3.20760i 0.223247 0.257641i
\(156\) 0.215927 0.218251i 0.0172880 0.0174741i
\(157\) 7.81203 6.76917i 0.623468 0.540238i −0.284821 0.958581i \(-0.591934\pi\)
0.908289 + 0.418342i \(0.137389\pi\)
\(158\) −3.36474 0.987977i −0.267684 0.0785992i
\(159\) 0.215827 1.01835i 0.0171162 0.0807606i
\(160\) 1.42374i 0.112557i
\(161\) 8.29891 + 15.8247i 0.654046 + 1.24716i
\(162\) −6.92637 5.74678i −0.544187 0.451509i
\(163\) 2.45650 5.37899i 0.192408 0.421315i −0.788699 0.614779i \(-0.789245\pi\)
0.981107 + 0.193464i \(0.0619724\pi\)
\(164\) 0.958729 3.26513i 0.0748642 0.254964i
\(165\) 10.3228 + 7.64169i 0.803630 + 0.594905i
\(166\) 7.97068 + 12.4026i 0.618645 + 0.962630i
\(167\) 2.85764 + 2.47616i 0.221130 + 0.191611i 0.758380 0.651813i \(-0.225991\pi\)
−0.537249 + 0.843423i \(0.680537\pi\)
\(168\) 0.494832 + 6.43444i 0.0381771 + 0.496428i
\(169\) 12.4433 3.65367i 0.957174 0.281052i
\(170\) 4.75526 7.39934i 0.364712 0.567503i
\(171\) −10.4291 + 6.86123i −0.797533 + 0.524691i
\(172\) −0.378989 + 0.173078i −0.0288976 + 0.0131971i
\(173\) 19.5306 8.91933i 1.48488 0.678124i 0.502429 0.864619i \(-0.332440\pi\)
0.982456 + 0.186495i \(0.0597127\pi\)
\(174\) −1.56132 4.11859i −0.118363 0.312230i
\(175\) −5.98865 + 9.31853i −0.452700 + 0.704414i
\(176\) −4.99729 + 1.46734i −0.376685 + 0.110605i
\(177\) −26.1078 + 2.00779i −1.96239 + 0.150915i
\(178\) 1.94609 + 1.68630i 0.145866 + 0.126394i
\(179\) 8.96942 + 13.9567i 0.670406 + 1.04317i 0.995245 + 0.0974027i \(0.0310535\pi\)
−0.324839 + 0.945769i \(0.605310\pi\)
\(180\) −3.90401 1.73264i −0.290988 0.129143i
\(181\) 4.87903 16.6164i 0.362655 1.23509i −0.553019 0.833169i \(-0.686524\pi\)
0.915674 0.401922i \(-0.131658\pi\)
\(182\) 0.274354 0.600751i 0.0203365 0.0445306i
\(183\) −2.09367 9.38235i −0.154768 0.693563i
\(184\) 2.93813 3.79044i 0.216602 0.279435i
\(185\) 13.2618i 0.975030i
\(186\) −5.05116 1.07053i −0.370369 0.0784950i
\(187\) 30.8723 + 9.06493i 2.25761 + 0.662893i
\(188\) −0.700169 + 0.606700i −0.0510651 + 0.0442482i
\(189\) −18.2460 6.47359i −1.32720 0.470885i
\(190\) −3.87973 + 4.47745i −0.281465 + 0.324828i
\(191\) 0.988482 6.87504i 0.0715240 0.497461i −0.922298 0.386479i \(-0.873691\pi\)
0.993822 0.110982i \(-0.0353996\pi\)
\(192\) 1.51572 0.838209i 0.109388 0.0604925i
\(193\) 18.3676 + 11.8041i 1.32213 + 0.849678i 0.995434 0.0954525i \(-0.0304298\pi\)
0.326692 + 0.945131i \(0.394066\pi\)
\(194\) 1.28233 + 8.91877i 0.0920656 + 0.640330i
\(195\) 0.263819 + 0.348517i 0.0188925 + 0.0249578i
\(196\) 2.85901 + 6.26037i 0.204215 + 0.447169i
\(197\) 1.87474 0.269548i 0.133570 0.0192045i −0.0752055 0.997168i \(-0.523961\pi\)
0.208776 + 0.977964i \(0.433052\pi\)
\(198\) 2.05795 15.4887i 0.146252 1.10073i
\(199\) 3.07889 + 10.4857i 0.218257 + 0.743314i 0.993717 + 0.111918i \(0.0356995\pi\)
−0.775461 + 0.631396i \(0.782482\pi\)
\(200\) 2.94270 + 0.423097i 0.208080 + 0.0299175i
\(201\) −1.37818 0.742994i −0.0972093 0.0524068i
\(202\) 2.07995 1.33671i 0.146345 0.0940503i
\(203\) −6.20477 7.16069i −0.435489 0.502582i
\(204\) −10.6770 0.706210i −0.747537 0.0494446i
\(205\) 4.40713 + 2.01267i 0.307807 + 0.140571i
\(206\) −12.2786 −0.855490
\(207\) 6.81810 + 12.6694i 0.473890 + 0.880584i
\(208\) −0.177255 −0.0122904
\(209\) −19.7142 9.00319i −1.36366 0.622764i
\(210\) −9.16800 0.606402i −0.632652 0.0418457i
\(211\) −4.77496 5.51060i −0.328722 0.379365i 0.567198 0.823582i \(-0.308028\pi\)
−0.895920 + 0.444216i \(0.853482\pi\)
\(212\) −0.505598 + 0.324928i −0.0347246 + 0.0223161i
\(213\) 13.6320 + 7.34918i 0.934049 + 0.503558i
\(214\) 3.41409 + 0.490872i 0.233383 + 0.0335553i
\(215\) −0.167120 0.569159i −0.0113975 0.0388163i
\(216\) 0.453866 + 5.17629i 0.0308817 + 0.352202i
\(217\) −10.9941 + 1.58071i −0.746328 + 0.107306i
\(218\) 2.23827 + 4.90112i 0.151595 + 0.331946i
\(219\) 12.0223 + 15.8820i 0.812390 + 1.07320i
\(220\) −1.05529 7.33973i −0.0711479 0.494845i
\(221\) 0.921213 + 0.592027i 0.0619675 + 0.0398241i
\(222\) 14.1186 7.80774i 0.947579 0.524021i
\(223\) −1.23570 + 8.59451i −0.0827489 + 0.575531i 0.905693 + 0.423933i \(0.139351\pi\)
−0.988442 + 0.151598i \(0.951558\pi\)
\(224\) 2.43994 2.81585i 0.163026 0.188142i
\(225\) −4.74132 + 7.55424i −0.316088 + 0.503616i
\(226\) 10.7784 9.33952i 0.716967 0.621256i
\(227\) −20.7863 6.10342i −1.37964 0.405098i −0.493994 0.869465i \(-0.664464\pi\)
−0.885643 + 0.464367i \(0.846282\pi\)
\(228\) 7.05085 + 1.49434i 0.466954 + 0.0989648i
\(229\) 9.76977i 0.645604i −0.946466 0.322802i \(-0.895375\pi\)
0.946466 0.322802i \(-0.104625\pi\)
\(230\) 4.74635 + 4.90857i 0.312965 + 0.323662i
\(231\) −7.32027 32.8044i −0.481638 2.15837i
\(232\) −1.05640 + 2.31319i −0.0693560 + 0.151868i
\(233\) −2.24536 + 7.64698i −0.147098 + 0.500971i −0.999769 0.0214775i \(-0.993163\pi\)
0.852671 + 0.522448i \(0.174981\pi\)
\(234\) 0.215712 0.486047i 0.0141015 0.0317739i
\(235\) −0.713124 1.10964i −0.0465191 0.0723851i
\(236\) 11.4253 + 9.90010i 0.743725 + 0.644442i
\(237\) −6.05606 + 0.465733i −0.393383 + 0.0302526i
\(238\) −22.0855 + 6.48489i −1.43159 + 0.420353i
\(239\) 15.7022 24.4331i 1.01569 1.58045i 0.219311 0.975655i \(-0.429619\pi\)
0.796382 0.604794i \(-0.206745\pi\)
\(240\) 0.874131 + 2.30586i 0.0564249 + 0.148843i
\(241\) −3.65934 + 1.67116i −0.235719 + 0.107649i −0.529773 0.848140i \(-0.677723\pi\)
0.294054 + 0.955789i \(0.404995\pi\)
\(242\) 14.6687 6.69896i 0.942939 0.430626i
\(243\) −14.7462 5.05480i −0.945966 0.324266i
\(244\) −3.00063 + 4.66907i −0.192096 + 0.298907i
\(245\) −9.40171 + 2.76059i −0.600653 + 0.176368i
\(246\) −0.451945 5.87677i −0.0288150 0.374689i
\(247\) −0.557439 0.483024i −0.0354690 0.0307341i
\(248\) 1.61169 + 2.50783i 0.102342 + 0.159248i
\(249\) 20.5240 + 15.1933i 1.30065 + 0.962837i
\(250\) −3.19807 + 10.8916i −0.202264 + 0.688846i
\(251\) −2.09183 + 4.58048i −0.132035 + 0.289117i −0.964090 0.265577i \(-0.914438\pi\)
0.832054 + 0.554694i \(0.187165\pi\)
\(252\) 4.75196 + 10.1173i 0.299345 + 0.637330i
\(253\) −12.3373 + 21.7184i −0.775637 + 1.36542i
\(254\) 17.2018i 1.07934i
\(255\) 3.15858 14.9034i 0.197798 0.933287i
\(256\) −0.959493 0.281733i −0.0599683 0.0176083i
\(257\) −11.3840 + 9.86431i −0.710116 + 0.615319i −0.933148 0.359492i \(-0.882950\pi\)
0.223032 + 0.974811i \(0.428404\pi\)
\(258\) −0.507539 + 0.513002i −0.0315980 + 0.0319381i
\(259\) 22.7276 26.2290i 1.41222 1.62979i
\(260\) 0.0359153 0.249796i 0.00222737 0.0154917i
\(261\) −5.05736 5.71179i −0.313043 0.353551i
\(262\) 6.85293 + 4.40411i 0.423376 + 0.272087i
\(263\) −3.59455 25.0007i −0.221650 1.54161i −0.731799 0.681521i \(-0.761319\pi\)
0.510149 0.860086i \(-0.329590\pi\)
\(264\) −7.19262 + 5.44464i −0.442675 + 0.335095i
\(265\) −0.355461 0.778350i −0.0218358 0.0478137i
\(266\) 15.3465 2.20649i 0.940954 0.135289i
\(267\) 4.18719 + 1.53626i 0.256252 + 0.0940177i
\(268\) 0.254674 + 0.867341i 0.0155567 + 0.0529813i
\(269\) 13.5861 + 1.95339i 0.828360 + 0.119100i 0.543437 0.839450i \(-0.317123\pi\)
0.284923 + 0.958550i \(0.408032\pi\)
\(270\) −7.38665 0.409207i −0.449537 0.0249036i
\(271\) 16.6069 10.6726i 1.00880 0.648313i 0.0717144 0.997425i \(-0.477153\pi\)
0.937081 + 0.349112i \(0.113517\pi\)
\(272\) 4.04561 + 4.66888i 0.245301 + 0.283093i
\(273\) 0.0754966 1.14141i 0.00456926 0.0690813i
\(274\) 7.87923 + 3.59832i 0.476002 + 0.217383i
\(275\) −15.4840 −0.933718
\(276\) 2.43133 7.94283i 0.146349 0.478102i
\(277\) 19.8811 1.19454 0.597270 0.802041i \(-0.296252\pi\)
0.597270 + 0.802041i \(0.296252\pi\)
\(278\) 7.03032 + 3.21064i 0.421651 + 0.192561i
\(279\) −8.83804 + 1.36744i −0.529120 + 0.0818666i
\(280\) 3.47385 + 4.00903i 0.207602 + 0.239586i
\(281\) 7.48487 4.81024i 0.446510 0.286955i −0.298000 0.954566i \(-0.596320\pi\)
0.744510 + 0.667611i \(0.232683\pi\)
\(282\) −0.761487 + 1.41248i −0.0453459 + 0.0841120i
\(283\) −21.9899 3.16167i −1.30716 0.187942i −0.546703 0.837327i \(-0.684117\pi\)
−0.760460 + 0.649385i \(0.775026\pi\)
\(284\) −2.51906 8.57914i −0.149479 0.509078i
\(285\) −3.53453 + 9.63362i −0.209368 + 0.570646i
\(286\) 0.913792 0.131384i 0.0540337 0.00776887i
\(287\) −5.26710 11.5333i −0.310907 0.680792i
\(288\) 1.94020 2.28815i 0.114327 0.134831i
\(289\) −3.01215 20.9500i −0.177185 1.23235i
\(290\) −3.04582 1.95743i −0.178856 0.114944i
\(291\) 7.55266 + 13.6574i 0.442745 + 0.800609i
\(292\) 1.63667 11.3833i 0.0957786 0.666155i
\(293\) −8.70390 + 10.0448i −0.508487 + 0.586825i −0.950711 0.310079i \(-0.899644\pi\)
0.442224 + 0.896905i \(0.354190\pi\)
\(294\) 8.47407 + 8.38383i 0.494218 + 0.488955i
\(295\) −16.2667 + 14.0952i −0.947084 + 0.820653i
\(296\) −8.93748 2.62428i −0.519480 0.152533i
\(297\) −6.17652 26.3487i −0.358398 1.52890i
\(298\) 5.30960i 0.307577i
\(299\) −0.611114 + 0.590917i −0.0353416 + 0.0341736i
\(300\) 5.02571 1.12148i 0.290160 0.0647489i
\(301\) −0.644872 + 1.41207i −0.0371698 + 0.0813906i
\(302\) 5.50780 18.7579i 0.316939 1.07939i
\(303\) 2.54796 3.44193i 0.146377 0.197734i
\(304\) −2.24973 3.50065i −0.129031 0.200776i
\(305\) −5.97190 5.17468i −0.341950 0.296301i
\(306\) −17.7258 + 5.41154i −1.01332 + 0.309357i
\(307\) −22.7446 + 6.67843i −1.29811 + 0.381158i −0.856544 0.516073i \(-0.827393\pi\)
−0.441561 + 0.897231i \(0.645575\pi\)
\(308\) −10.4914 + 16.3249i −0.597801 + 0.930197i
\(309\) −19.8862 + 7.53866i −1.13128 + 0.428859i
\(310\) −3.86072 + 1.76313i −0.219274 + 0.100139i
\(311\) 11.0277 5.03616i 0.625321 0.285575i −0.0774437 0.996997i \(-0.524676\pi\)
0.702765 + 0.711422i \(0.251949\pi\)
\(312\) −0.287079 + 0.108829i −0.0162526 + 0.00616121i
\(313\) −15.0820 + 23.4680i −0.852485 + 1.32649i 0.0912631 + 0.995827i \(0.470910\pi\)
−0.943748 + 0.330666i \(0.892727\pi\)
\(314\) −9.91809 + 2.91221i −0.559710 + 0.164346i
\(315\) −15.2206 + 4.64674i −0.857585 + 0.261814i
\(316\) 2.65025 + 2.29646i 0.149088 + 0.129186i
\(317\) 3.14599 + 4.89525i 0.176696 + 0.274945i 0.918293 0.395901i \(-0.129568\pi\)
−0.741597 + 0.670846i \(0.765931\pi\)
\(318\) −0.619362 + 0.836668i −0.0347321 + 0.0469180i
\(319\) 3.73143 12.7081i 0.208920 0.711516i
\(320\) 0.591443 1.29508i 0.0330627 0.0723972i
\(321\) 5.83078 1.30113i 0.325442 0.0726222i
\(322\) −0.975134 17.8421i −0.0543421 0.994304i
\(323\) 25.7073i 1.43039i
\(324\) 3.91315 + 8.10477i 0.217397 + 0.450265i
\(325\) −0.505626 0.148465i −0.0280471 0.00823537i
\(326\) −4.46902 + 3.87243i −0.247516 + 0.214474i
\(327\) 6.63419 + 6.56354i 0.366871 + 0.362965i
\(328\) −2.22848 + 2.57180i −0.123047 + 0.142004i
\(329\) −0.491254 + 3.41675i −0.0270837 + 0.188371i
\(330\) −6.21549 11.2394i −0.342152 0.618707i
\(331\) −15.7671 10.1329i −0.866640 0.556956i 0.0300834 0.999547i \(-0.490423\pi\)
−0.896723 + 0.442592i \(0.854059\pi\)
\(332\) −2.09815 14.5930i −0.115151 0.800893i
\(333\) 18.0725 21.3136i 0.990369 1.16798i
\(334\) −1.57076 3.43949i −0.0859484 0.188201i
\(335\) −1.27390 + 0.183159i −0.0696007 + 0.0100071i
\(336\) 2.22285 6.05854i 0.121266 0.330520i
\(337\) −1.87769 6.39484i −0.102285 0.348349i 0.892410 0.451226i \(-0.149013\pi\)
−0.994694 + 0.102877i \(0.967195\pi\)
\(338\) −12.8366 1.84562i −0.698218 0.100389i
\(339\) 11.7223 21.7437i 0.636668 1.18096i
\(340\) −7.39934 + 4.75526i −0.401285 + 0.257890i
\(341\) −10.1675 11.7339i −0.550600 0.635426i
\(342\) 12.3369 1.90879i 0.667103 0.103216i
\(343\) −0.398877 0.182161i −0.0215373 0.00983577i
\(344\) 0.416640 0.0224637
\(345\) 10.7008 + 5.03573i 0.576111 + 0.271114i
\(346\) −21.4709 −1.15428
\(347\) 7.72113 + 3.52612i 0.414492 + 0.189292i 0.611735 0.791062i \(-0.290472\pi\)
−0.197244 + 0.980355i \(0.563199\pi\)
\(348\) −0.290700 + 4.39500i −0.0155831 + 0.235597i
\(349\) 5.73202 + 6.61510i 0.306828 + 0.354098i 0.888132 0.459588i \(-0.152003\pi\)
−0.581304 + 0.813686i \(0.697457\pi\)
\(350\) 9.31853 5.98865i 0.498096 0.320107i
\(351\) 0.0509460 0.919633i 0.00271930 0.0490864i
\(352\) 5.15525 + 0.741212i 0.274776 + 0.0395068i
\(353\) 7.14421 + 24.3310i 0.380248 + 1.29501i 0.898196 + 0.439594i \(0.144878\pi\)
−0.517948 + 0.855412i \(0.673304\pi\)
\(354\) 24.5826 + 9.01924i 1.30655 + 0.479367i
\(355\) 12.6006 1.81169i 0.668768 0.0961543i
\(356\) −1.06971 2.34235i −0.0566948 0.124144i
\(357\) −31.7878 + 24.0626i −1.68239 + 1.27353i
\(358\) −2.36105 16.4215i −0.124786 0.867902i
\(359\) 6.91139 + 4.44168i 0.364769 + 0.234423i 0.710167 0.704034i \(-0.248620\pi\)
−0.345398 + 0.938456i \(0.612256\pi\)
\(360\) 2.83145 + 3.19785i 0.149231 + 0.168541i
\(361\) −0.239682 + 1.66703i −0.0126148 + 0.0877382i
\(362\) −11.3408 + 13.0880i −0.596061 + 0.687891i
\(363\) 19.6442 19.8556i 1.03105 1.04215i
\(364\) −0.499122 + 0.432492i −0.0261611 + 0.0226687i
\(365\) 15.7102 + 4.61294i 0.822311 + 0.241452i
\(366\) −1.99311 + 9.40423i −0.104181 + 0.491567i
\(367\) 7.70363i 0.402126i 0.979578 + 0.201063i \(0.0644396\pi\)
−0.979578 + 0.201063i \(0.935560\pi\)
\(368\) −4.24722 + 2.22736i −0.221402 + 0.116109i
\(369\) −4.34011 9.24043i −0.225937 0.481038i
\(370\) 5.50917 12.0634i 0.286408 0.627146i
\(371\) −0.630879 + 2.14858i −0.0327536 + 0.111549i
\(372\) 4.14999 + 3.07212i 0.215167 + 0.159282i
\(373\) −7.68769 11.9623i −0.398054 0.619384i 0.583149 0.812365i \(-0.301820\pi\)
−0.981202 + 0.192982i \(0.938184\pi\)
\(374\) −24.3167 21.0706i −1.25739 1.08953i
\(375\) 1.50757 + 19.6034i 0.0778506 + 1.01231i
\(376\) 0.888929 0.261013i 0.0458430 0.0134607i
\(377\) 0.243698 0.379202i 0.0125511 0.0195299i
\(378\) 13.9079 + 13.4682i 0.715344 + 0.692731i
\(379\) −17.1252 + 7.82084i −0.879665 + 0.401729i −0.803457 0.595363i \(-0.797008\pi\)
−0.0762074 + 0.997092i \(0.524281\pi\)
\(380\) 5.38913 2.46113i 0.276456 0.126253i
\(381\) 10.5613 + 27.8597i 0.541074 + 1.42730i
\(382\) −3.75515 + 5.84313i −0.192130 + 0.298960i
\(383\) −19.9933 + 5.87055i −1.02161 + 0.299971i −0.749294 0.662238i \(-0.769607\pi\)
−0.272313 + 0.962209i \(0.587789\pi\)
\(384\) −1.72695 + 0.132809i −0.0881281 + 0.00677737i
\(385\) −20.8801 18.0927i −1.06415 0.922089i
\(386\) −11.8041 18.3676i −0.600813 0.934884i
\(387\) −0.507034 + 1.14246i −0.0257740 + 0.0580745i
\(388\) 2.53855 8.64549i 0.128875 0.438908i
\(389\) 4.41133 9.65948i 0.223664 0.489755i −0.764219 0.644957i \(-0.776875\pi\)
0.987883 + 0.155202i \(0.0496027\pi\)
\(390\) −0.0951991 0.426616i −0.00482059 0.0216025i
\(391\) 29.5126 + 2.60980i 1.49252 + 0.131983i
\(392\) 6.88231i 0.347609i
\(393\) 13.8029 + 2.92534i 0.696263 + 0.147564i
\(394\) −1.81730 0.533608i −0.0915543 0.0268828i
\(395\) −3.77328 + 3.26956i −0.189854 + 0.164510i
\(396\) −8.30619 + 13.2341i −0.417402 + 0.665037i
\(397\) −8.46553 + 9.76974i −0.424873 + 0.490329i −0.927315 0.374282i \(-0.877889\pi\)
0.502443 + 0.864611i \(0.332435\pi\)
\(398\) 1.55528 10.8172i 0.0779589 0.542216i
\(399\) 23.5002 12.9959i 1.17648 0.650606i
\(400\) −2.50102 1.60730i −0.125051 0.0803652i
\(401\) 0.00577400 + 0.0401590i 0.000288340 + 0.00200545i 0.989965 0.141312i \(-0.0451321\pi\)
−0.989677 + 0.143317i \(0.954223\pi\)
\(402\) 0.944985 + 1.24837i 0.0471316 + 0.0622629i
\(403\) −0.219509 0.480657i −0.0109345 0.0239433i
\(404\) −2.44728 + 0.351866i −0.121757 + 0.0175060i
\(405\) −12.2145 + 3.87242i −0.606944 + 0.192422i
\(406\) 2.66940 + 9.09114i 0.132480 + 0.451186i
\(407\) 48.0200 + 6.90424i 2.38027 + 0.342230i
\(408\) 9.41873 + 5.07776i 0.466297 + 0.251387i
\(409\) 8.41485 5.40790i 0.416088 0.267403i −0.315804 0.948824i \(-0.602274\pi\)
0.731891 + 0.681421i \(0.238638\pi\)
\(410\) −3.17277 3.66157i −0.156692 0.180832i
\(411\) 14.9703 + 0.990186i 0.738431 + 0.0488423i
\(412\) 11.1690 + 5.10071i 0.550257 + 0.251294i
\(413\) 56.3276 2.77170
\(414\) −0.938901 14.3568i −0.0461445 0.705600i
\(415\) 20.9902 1.03037
\(416\) 0.161237 + 0.0736343i 0.00790528 + 0.00361022i
\(417\) 13.3574 + 0.883503i 0.654115 + 0.0432653i
\(418\) 14.1926 + 16.3792i 0.694185 + 0.801132i
\(419\) 7.61634 4.89473i 0.372083 0.239123i −0.341213 0.939986i \(-0.610838\pi\)
0.713296 + 0.700863i \(0.247202\pi\)
\(420\) 8.08759 + 4.36013i 0.394634 + 0.212752i
\(421\) 9.75720 + 1.40287i 0.475537 + 0.0683719i 0.375916 0.926654i \(-0.377328\pi\)
0.0996206 + 0.995025i \(0.468237\pi\)
\(422\) 2.05427 + 6.99621i 0.100000 + 0.340570i
\(423\) −0.366072 + 2.75516i −0.0177990 + 0.133960i
\(424\) 0.594888 0.0855320i 0.0288903 0.00415380i
\(425\) 7.62968 + 16.7067i 0.370094 + 0.810393i
\(426\) −9.34714 12.3480i −0.452870 0.598262i
\(427\) 2.94296 + 20.4687i 0.142420 + 0.990552i
\(428\) −2.90165 1.86478i −0.140257 0.0901375i
\(429\) 1.39930 0.773825i 0.0675586 0.0373606i
\(430\) −0.0844193 + 0.587149i −0.00407106 + 0.0283148i
\(431\) −21.0639 + 24.3090i −1.01461 + 1.17093i −0.0294037 + 0.999568i \(0.509361\pi\)
−0.985209 + 0.171358i \(0.945185\pi\)
\(432\) 1.73746 4.89706i 0.0835935 0.235610i
\(433\) 5.12637 4.44203i 0.246358 0.213470i −0.522925 0.852379i \(-0.675159\pi\)
0.769283 + 0.638908i \(0.220614\pi\)
\(434\) 10.6572 + 3.12925i 0.511564 + 0.150209i
\(435\) −6.13474 1.30018i −0.294138 0.0623389i
\(436\) 5.38803i 0.258040i
\(437\) −19.4265 4.56908i −0.929294 0.218569i
\(438\) −4.33824 19.4410i −0.207289 0.928925i
\(439\) −11.4480 + 25.0676i −0.546382 + 1.19641i 0.412069 + 0.911153i \(0.364806\pi\)
−0.958451 + 0.285257i \(0.907921\pi\)
\(440\) −2.08911 + 7.11484i −0.0995942 + 0.339187i
\(441\) 18.8718 + 8.37550i 0.898659 + 0.398833i
\(442\) −0.592027 0.921213i −0.0281599 0.0438176i
\(443\) 2.89251 + 2.50637i 0.137427 + 0.119081i 0.720862 0.693079i \(-0.243746\pi\)
−0.583435 + 0.812160i \(0.698292\pi\)
\(444\) −16.0862 + 1.23709i −0.763417 + 0.0587095i
\(445\) 3.51770 1.03289i 0.166755 0.0489636i
\(446\) 4.69433 7.30451i 0.222283 0.345879i
\(447\) 3.25992 + 8.59933i 0.154189 + 0.406734i
\(448\) −3.38920 + 1.54779i −0.160124 + 0.0731264i
\(449\) −16.9525 + 7.74195i −0.800038 + 0.365365i −0.773110 0.634272i \(-0.781300\pi\)
−0.0269281 + 0.999637i \(0.508573\pi\)
\(450\) 7.45100 4.90196i 0.351243 0.231081i
\(451\) 9.58209 14.9100i 0.451203 0.702085i
\(452\) −13.6841 + 4.01803i −0.643648 + 0.188992i
\(453\) −2.59638 33.7615i −0.121989 1.58625i
\(454\) 16.3725 + 14.1868i 0.768398 + 0.665820i
\(455\) −0.508357 0.791019i −0.0238321 0.0370835i
\(456\) −5.79291 4.28832i −0.271278 0.200819i
\(457\) 7.02484 23.9244i 0.328608 1.11914i −0.615125 0.788429i \(-0.710895\pi\)
0.943733 0.330707i \(-0.107287\pi\)
\(458\) −4.05851 + 8.88689i −0.189642 + 0.415257i
\(459\) −25.3859 + 19.6475i −1.18491 + 0.917067i
\(460\) −2.27833 6.43670i −0.106228 0.300113i
\(461\) 11.0295i 0.513693i −0.966452 0.256847i \(-0.917317\pi\)
0.966452 0.256847i \(-0.0826835\pi\)
\(462\) −6.96867 + 32.8809i −0.324212 + 1.52976i
\(463\) −28.1962 8.27914i −1.31039 0.384764i −0.449372 0.893345i \(-0.648352\pi\)
−0.861014 + 0.508581i \(0.830170\pi\)
\(464\) 1.92187 1.66531i 0.0892205 0.0773100i
\(465\) −5.17025 + 5.22589i −0.239764 + 0.242345i
\(466\) 5.21912 6.02319i 0.241771 0.279019i
\(467\) 3.33349 23.1849i 0.154255 1.07287i −0.754728 0.656038i \(-0.772231\pi\)
0.908984 0.416832i \(-0.136860\pi\)
\(468\) −0.398130 + 0.352514i −0.0184036 + 0.0162950i
\(469\) 2.83339 + 1.82091i 0.130834 + 0.0840817i
\(470\) 0.187718 + 1.30561i 0.00865879 + 0.0602232i
\(471\) −14.2751 + 10.8060i −0.657764 + 0.497912i
\(472\) −6.28019 13.7517i −0.289069 0.632973i
\(473\) −2.14788 + 0.308819i −0.0987597 + 0.0141995i
\(474\) 5.70225 + 2.09213i 0.261913 + 0.0960948i
\(475\) −3.48536 11.8701i −0.159919 0.544636i
\(476\) 22.7836 + 3.27579i 1.04429 + 0.150146i
\(477\) −0.489419 + 1.73532i −0.0224090 + 0.0794548i
\(478\) −24.4331 + 15.7022i −1.11755 + 0.718203i
\(479\) 0.272929 + 0.314976i 0.0124704 + 0.0143916i 0.761951 0.647635i \(-0.224242\pi\)
−0.749480 + 0.662027i \(0.769696\pi\)
\(480\) 0.162753 2.46061i 0.00742863 0.112311i
\(481\) 1.50189 + 0.685888i 0.0684801 + 0.0312738i
\(482\) 4.02288 0.183237
\(483\) −12.5338 28.2981i −0.570308 1.28761i
\(484\) −16.1260 −0.732998
\(485\) 11.6693 + 5.32919i 0.529875 + 0.241986i
\(486\) 11.3137 + 10.7238i 0.513201 + 0.486441i
\(487\) −15.6934 18.1112i −0.711136 0.820695i 0.279076 0.960269i \(-0.409972\pi\)
−0.990212 + 0.139575i \(0.955427\pi\)
\(488\) 4.66907 3.00063i 0.211359 0.135832i
\(489\) −4.86040 + 9.01555i −0.219795 + 0.407697i
\(490\) 9.69889 + 1.39449i 0.438151 + 0.0629966i
\(491\) −3.67197 12.5056i −0.165714 0.564370i −0.999917 0.0129118i \(-0.995890\pi\)
0.834203 0.551458i \(-0.185928\pi\)
\(492\) −2.03020 + 5.53345i −0.0915283 + 0.249467i
\(493\) −15.5503 + 2.23579i −0.700349 + 0.100695i
\(494\) 0.306409 + 0.670943i 0.0137860 + 0.0301871i
\(495\) −16.9671 14.3870i −0.762615 0.646646i
\(496\) −0.424250 2.95072i −0.0190494 0.132491i
\(497\) −28.0259 18.0112i −1.25713 0.807911i
\(498\) −12.3577 22.3463i −0.553763 1.00136i
\(499\) −6.31900 + 43.9496i −0.282877 + 1.96746i −0.0317731 + 0.999495i \(0.510115\pi\)
−0.251104 + 0.967960i \(0.580794\pi\)
\(500\) 7.43361 8.57884i 0.332441 0.383657i
\(501\) −4.65572 4.60614i −0.208002 0.205787i
\(502\) 3.80560 3.29757i 0.169852 0.147178i
\(503\) 14.0755 + 4.13293i 0.627595 + 0.184278i 0.580037 0.814590i \(-0.303038\pi\)
0.0475577 + 0.998868i \(0.484856\pi\)
\(504\) −0.119660 11.1771i −0.00533008 0.497865i
\(505\) 3.52012i 0.156643i
\(506\) 20.2445 14.6307i 0.899978 0.650413i
\(507\) −21.9230 + 4.89211i −0.973636 + 0.217266i
\(508\) 7.14589 15.6473i 0.317047 0.694237i
\(509\) 2.01996 6.87934i 0.0895331 0.304922i −0.902536 0.430614i \(-0.858297\pi\)
0.992069 + 0.125692i \(0.0401152\pi\)
\(510\) −9.06425 + 12.2445i −0.401372 + 0.542195i
\(511\) −23.1659 36.0469i −1.02480 1.59462i
\(512\) 0.755750 + 0.654861i 0.0333997 + 0.0289410i
\(513\) 18.8087 10.6659i 0.830423 0.470911i
\(514\) 14.4531 4.24380i 0.637497 0.187186i
\(515\) −9.45123 + 14.7064i −0.416471 + 0.648041i
\(516\) 0.674782 0.255803i 0.0297056 0.0112611i
\(517\) −4.38918 + 2.00447i −0.193036 + 0.0881565i
\(518\) −31.5696 + 14.4174i −1.38709 + 0.633463i
\(519\) −34.7739 + 13.1824i −1.52640 + 0.578645i
\(520\) −0.136439 + 0.212303i −0.00598324 + 0.00931010i
\(521\) −6.47921 + 1.90247i −0.283860 + 0.0833487i −0.420563 0.907263i \(-0.638167\pi\)
0.136703 + 0.990612i \(0.456349\pi\)
\(522\) 2.22757 + 7.29654i 0.0974983 + 0.319361i
\(523\) 13.3559 + 11.5730i 0.584013 + 0.506051i 0.896011 0.444032i \(-0.146453\pi\)
−0.311997 + 0.950083i \(0.600998\pi\)
\(524\) −4.40411 6.85293i −0.192395 0.299372i
\(525\) 11.4153 15.4204i 0.498203 0.673001i
\(526\) −7.11593 + 24.2346i −0.310269 + 1.05668i
\(527\) −7.65049 + 16.7522i −0.333260 + 0.729738i
\(528\) 8.80442 1.96470i 0.383163 0.0855026i
\(529\) −7.21758 + 21.8382i −0.313808 + 0.949486i
\(530\) 0.855676i 0.0371682i
\(531\) 45.3510 0.485522i 1.96807 0.0210699i
\(532\) −14.8763 4.36807i −0.644969 0.189380i
\(533\) 0.455864 0.395008i 0.0197456 0.0171097i
\(534\) −3.17062 3.13685i −0.137206 0.135745i
\(535\) 3.21587 3.71131i 0.139034 0.160454i
\(536\) 0.128647 0.894757i 0.00555669 0.0386476i
\(537\) −13.9062 25.1463i −0.600096 1.08514i
\(538\) −11.5469 7.42074i −0.497822 0.319931i
\(539\) 5.10125 + 35.4800i 0.219727 + 1.52823i
\(540\) 6.54914 + 3.44075i 0.281830 + 0.148066i
\(541\) 5.79436 + 12.6879i 0.249119 + 0.545494i 0.992338 0.123554i \(-0.0394292\pi\)
−0.743219 + 0.669048i \(0.766702\pi\)
\(542\) −19.5397 + 2.80938i −0.839302 + 0.120673i
\(543\) −10.3318 + 28.1600i −0.443379 + 1.20846i
\(544\) −1.74049 5.92757i −0.0746230 0.254142i
\(545\) 7.59307 + 1.09172i 0.325251 + 0.0467641i
\(546\) −0.542833 + 1.00690i −0.0232311 + 0.0430914i
\(547\) 15.2624 9.80854i 0.652573 0.419383i −0.172033 0.985091i \(-0.555034\pi\)
0.824605 + 0.565708i \(0.191397\pi\)
\(548\) −5.67240 6.54630i −0.242313 0.279644i
\(549\) 2.54590 + 16.4546i 0.108656 + 0.702266i
\(550\) 14.0847 + 6.43227i 0.600574 + 0.274273i
\(551\) 10.5820 0.450808
\(552\) −5.51119 + 6.21504i −0.234572 + 0.264530i
\(553\) 13.0659 0.555620
\(554\) −18.0845 8.25890i −0.768336 0.350887i
\(555\) 1.51601 22.9201i 0.0643511 0.972905i
\(556\) −5.06126 5.84100i −0.214645 0.247714i
\(557\) 29.8095 19.1574i 1.26307 0.811725i 0.274368 0.961625i \(-0.411531\pi\)
0.988701 + 0.149900i \(0.0478951\pi\)
\(558\) 8.60742 + 2.42759i 0.364381 + 0.102768i
\(559\) −0.0730997 0.0105102i −0.00309179 0.000444532i
\(560\) −1.49451 5.08983i −0.0631546 0.215085i
\(561\) −52.3196 19.1958i −2.20893 0.810448i
\(562\) −8.80672 + 1.26622i −0.371489 + 0.0534121i
\(563\) 10.8672 + 23.7958i 0.457997 + 1.00287i 0.987939 + 0.154840i \(0.0494864\pi\)
−0.529942 + 0.848034i \(0.677786\pi\)
\(564\) 1.27944 0.968505i 0.0538741 0.0407814i
\(565\) −2.88973 20.0985i −0.121572 0.845550i
\(566\) 18.6893 + 12.0109i 0.785570 + 0.504855i
\(567\) 30.7940 + 13.2739i 1.29323 + 0.557452i
\(568\) −1.27248 + 8.85032i −0.0533922 + 0.371351i
\(569\) 12.1768 14.0527i 0.510477 0.589122i −0.440744 0.897633i \(-0.645285\pi\)
0.951221 + 0.308511i \(0.0998308\pi\)
\(570\) 7.21707 7.29475i 0.302290 0.305543i
\(571\) 20.6801 17.9194i 0.865436 0.749905i −0.104174 0.994559i \(-0.533220\pi\)
0.969610 + 0.244654i \(0.0786744\pi\)
\(572\) −0.885793 0.260092i −0.0370369 0.0108750i
\(573\) −2.49428 + 11.7690i −0.104200 + 0.491656i
\(574\) 12.6791i 0.529217i
\(575\) −13.9809 + 2.79623i −0.583046 + 0.116611i
\(576\) −2.71540 + 1.27539i −0.113142 + 0.0531411i
\(577\) −3.12636 + 6.84577i −0.130152 + 0.284993i −0.963477 0.267790i \(-0.913707\pi\)
0.833325 + 0.552783i \(0.186434\pi\)
\(578\) −5.96298 + 20.3081i −0.248027 + 0.844704i
\(579\) −30.3948 22.5004i −1.26316 0.935085i
\(580\) 1.95743 + 3.04582i 0.0812777 + 0.126471i
\(581\) −41.5141 35.9722i −1.72229 1.49238i
\(582\) −1.19667 15.5607i −0.0496036 0.645010i
\(583\) −3.00340 + 0.881877i −0.124388 + 0.0365236i
\(584\) −6.21754 + 9.67468i −0.257284 + 0.400341i
\(585\) −0.416111 0.632490i −0.0172041 0.0261503i
\(586\) 12.0901 5.52137i 0.499438 0.228086i
\(587\) −7.14131 + 3.26133i −0.294753 + 0.134609i −0.557303 0.830309i \(-0.688164\pi\)
0.262550 + 0.964918i \(0.415437\pi\)
\(588\) −4.22552 11.1465i −0.174257 0.459672i
\(589\) 6.70660 10.4357i 0.276341 0.429994i
\(590\) 20.6521 6.06399i 0.850232 0.249651i
\(591\) −3.27089 + 0.251543i −0.134546 + 0.0103471i
\(592\) 7.03965 + 6.09989i 0.289328 + 0.250704i
\(593\) −24.6982 38.4312i −1.01424 1.57818i −0.798741 0.601676i \(-0.794500\pi\)
−0.215495 0.976505i \(-0.569136\pi\)
\(594\) −5.32726 + 26.5334i −0.218580 + 1.08868i
\(595\) −9.23281 + 31.4440i −0.378508 + 1.28908i
\(596\) 2.20569 4.82978i 0.0903485 0.197836i
\(597\) −4.12250 18.4742i −0.168723 0.756099i
\(598\) 0.801365 0.283651i 0.0327702 0.0115994i
\(599\) 46.7606i 1.91059i 0.295662 + 0.955293i \(0.404460\pi\)
−0.295662 + 0.955293i \(0.595540\pi\)
\(600\) −5.03743 1.06762i −0.205652 0.0435853i
\(601\) 20.8538 + 6.12322i 0.850643 + 0.249771i 0.677862 0.735189i \(-0.262907\pi\)
0.172781 + 0.984960i \(0.444725\pi\)
\(602\) 1.17319 1.01658i 0.0478158 0.0414326i
\(603\) 2.29694 + 1.44164i 0.0935386 + 0.0587082i
\(604\) −12.8024 + 14.7747i −0.520921 + 0.601175i
\(605\) 3.26743 22.7255i 0.132840 0.923923i
\(606\) −3.74754 + 2.07243i −0.152233 + 0.0841866i
\(607\) 8.82162 + 5.66931i 0.358058 + 0.230110i 0.707286 0.706928i \(-0.249919\pi\)
−0.349227 + 0.937038i \(0.613556\pi\)
\(608\) 0.592205 + 4.11887i 0.0240171 + 0.167042i
\(609\) 9.90498 + 13.0849i 0.401370 + 0.530228i
\(610\) 3.28259 + 7.18787i 0.132908 + 0.291028i
\(611\) −0.162547 + 0.0233708i −0.00657596 + 0.000945481i
\(612\) 18.3720 + 2.44105i 0.742644 + 0.0986735i
\(613\) 0.494372 + 1.68368i 0.0199675 + 0.0680030i 0.968874 0.247554i \(-0.0796268\pi\)
−0.948907 + 0.315557i \(0.897809\pi\)
\(614\) 23.4636 + 3.37355i 0.946913 + 0.136146i
\(615\) −7.38665 3.98224i −0.297858 0.160579i
\(616\) 16.3249 10.4914i 0.657749 0.422709i
\(617\) 2.28628 + 2.63851i 0.0920423 + 0.106222i 0.799902 0.600130i \(-0.204885\pi\)
−0.707860 + 0.706353i \(0.750339\pi\)
\(618\) 21.2208 + 1.40361i 0.853624 + 0.0564615i
\(619\) −18.8744 8.61963i −0.758625 0.346452i −0.00173796 0.999998i \(-0.500553\pi\)
−0.756887 + 0.653546i \(0.773280\pi\)
\(620\) 4.24427 0.170454
\(621\) −10.3353 22.6756i −0.414739 0.909940i
\(622\) −12.1232 −0.486096
\(623\) −8.72735 3.98565i −0.349654 0.159682i
\(624\) 0.306345 + 0.0202627i 0.0122636 + 0.000811156i
\(625\) 0.849145 + 0.979966i 0.0339658 + 0.0391986i
\(626\) 23.4680 15.0820i 0.937972 0.602798i
\(627\) 33.0424 + 17.8136i 1.31959 + 0.711406i
\(628\) 10.2316 + 1.47108i 0.408285 + 0.0587025i
\(629\) −16.2123 55.2141i −0.646427 2.20153i
\(630\) 15.7755 + 2.09606i 0.628511 + 0.0835089i
\(631\) 31.7167 4.56018i 1.26262 0.181538i 0.521701 0.853129i \(-0.325298\pi\)
0.740922 + 0.671591i \(0.234389\pi\)
\(632\) −1.45677 3.18989i −0.0579473 0.126887i
\(633\) 7.62251 + 10.0697i 0.302967 + 0.400234i
\(634\) −0.828130 5.75977i −0.0328892 0.228750i
\(635\) 20.6031 + 13.2408i 0.817607 + 0.525444i
\(636\) 0.910956 0.503768i 0.0361217 0.0199757i
\(637\) −0.173613 + 1.20751i −0.00687880 + 0.0478431i
\(638\) −8.67336 + 10.0096i −0.343382 + 0.396283i
\(639\) −22.7197 14.2597i −0.898778 0.564106i
\(640\) −1.07599 + 0.932352i −0.0425323 + 0.0368544i
\(641\) −33.4201 9.81303i −1.32001 0.387591i −0.455517 0.890227i \(-0.650545\pi\)
−0.864498 + 0.502636i \(0.832364\pi\)
\(642\) −5.84437 1.23864i −0.230659 0.0488852i
\(643\) 26.7667i 1.05557i 0.849377 + 0.527787i \(0.176978\pi\)
−0.849377 + 0.527787i \(0.823022\pi\)
\(644\) −6.52488 + 16.6349i −0.257116 + 0.655506i
\(645\) 0.223767 + 1.00277i 0.00881080 + 0.0394839i
\(646\) 10.6792 23.3842i 0.420168 0.920039i
\(647\) −4.18004 + 14.2359i −0.164334 + 0.559672i 0.835612 + 0.549320i \(0.185113\pi\)
−0.999946 + 0.0103516i \(0.996705\pi\)
\(648\) −0.192683 8.99794i −0.00756932 0.353472i
\(649\) 42.5689 + 66.2385i 1.67097 + 2.60009i
\(650\) 0.398259 + 0.345093i 0.0156210 + 0.0135357i
\(651\) 19.1815 1.47513i 0.751783 0.0578148i
\(652\) 5.67383 1.66599i 0.222204 0.0652451i
\(653\) 14.9750 23.3015i 0.586016 0.911858i −0.413983 0.910285i \(-0.635863\pi\)
0.999999 0.00157377i \(-0.000500946\pi\)
\(654\) −3.30807 8.72635i −0.129356 0.341227i
\(655\) 10.5498 4.81795i 0.412217 0.188253i
\(656\) 3.09546 1.41365i 0.120857 0.0551936i
\(657\) −18.9623 28.8227i −0.739788 1.12448i
\(658\) 1.86623 2.90391i 0.0727532 0.113206i
\(659\) −13.7613 + 4.04069i −0.536065 + 0.157403i −0.538549 0.842594i \(-0.681027\pi\)
0.00248404 + 0.999997i \(0.499209\pi\)
\(660\) 0.984805 + 12.8057i 0.0383335 + 0.498461i
\(661\) −11.7371 10.1703i −0.456521 0.395577i 0.396017 0.918243i \(-0.370392\pi\)
−0.852538 + 0.522666i \(0.824938\pi\)
\(662\) 10.1329 + 15.7671i 0.393827 + 0.612807i
\(663\) −1.52443 1.12849i −0.0592040 0.0438270i
\(664\) −4.15359 + 14.1458i −0.161191 + 0.548965i
\(665\) 9.16992 20.0793i 0.355594 0.778643i
\(666\) −25.2934 + 11.8800i −0.980098 + 0.460339i
\(667\) 1.07428 12.1484i 0.0415963 0.470387i
\(668\) 3.78119i 0.146299i
\(669\) 3.11811 14.7124i 0.120553 0.568815i
\(670\) 1.23487 + 0.362590i 0.0477072 + 0.0140081i
\(671\) −21.8461 + 18.9298i −0.843359 + 0.730775i
\(672\) −4.53878 + 4.58763i −0.175087 + 0.176972i
\(673\) 1.39266 1.60721i 0.0536829 0.0619534i −0.728273 0.685287i \(-0.759677\pi\)
0.781956 + 0.623334i \(0.214222\pi\)
\(674\) −0.948501 + 6.59697i −0.0365349 + 0.254106i
\(675\) 9.05785 12.5138i 0.348637 0.481656i
\(676\) 10.9099 + 7.01134i 0.419610 + 0.269667i
\(677\) 5.13499 + 35.7146i 0.197354 + 1.37263i 0.811924 + 0.583763i \(0.198420\pi\)
−0.614570 + 0.788862i \(0.710671\pi\)
\(678\) −19.6956 + 14.9091i −0.756406 + 0.572582i
\(679\) −13.9464 30.5383i −0.535212 1.17195i
\(680\) 8.70608 1.25175i 0.333863 0.0480022i
\(681\) 35.2268 + 12.9245i 1.34989 + 0.495270i
\(682\) 4.37423 + 14.8973i 0.167498 + 0.570445i
\(683\) −27.0120 3.88374i −1.03359 0.148607i −0.395415 0.918503i \(-0.629399\pi\)
−0.638170 + 0.769895i \(0.720308\pi\)
\(684\) −12.0150 3.38863i −0.459404 0.129568i
\(685\) 10.3747 6.66742i 0.396397 0.254749i
\(686\) 0.287159 + 0.331399i 0.0109638 + 0.0126529i
\(687\) −1.11682 + 16.8848i −0.0426093 + 0.644197i
\(688\) −0.378989 0.173078i −0.0144488 0.00659855i
\(689\) −0.106531 −0.00405851
\(690\) −7.64187 9.02593i −0.290921 0.343611i
\(691\) 7.06754 0.268862 0.134431 0.990923i \(-0.457079\pi\)
0.134431 + 0.990923i \(0.457079\pi\)
\(692\) 19.5306 + 8.91933i 0.742442 + 0.339062i
\(693\) 8.90145 + 57.5318i 0.338138 + 2.18545i
\(694\) −5.55858 6.41494i −0.211001 0.243508i
\(695\) 9.25693 5.94907i 0.351135 0.225661i
\(696\) 2.09018 3.87707i 0.0792280 0.146960i
\(697\) −20.8090 2.99188i −0.788196 0.113325i
\(698\) −2.46602 8.39848i −0.0933401 0.317887i
\(699\) 4.75475 12.9594i 0.179841 0.490170i
\(700\) −10.9642 + 1.57641i −0.414408 + 0.0595829i
\(701\) 14.3902 + 31.5101i 0.543509 + 1.19012i 0.959748 + 0.280863i \(0.0906208\pi\)
−0.416239 + 0.909255i \(0.636652\pi\)
\(702\) −0.428372 + 0.815364i −0.0161678 + 0.0307739i
\(703\) 5.51626 + 38.3665i 0.208050 + 1.44702i
\(704\) −4.38147 2.81580i −0.165133 0.106124i
\(705\) 1.10563 + 1.99929i 0.0416403 + 0.0752975i
\(706\) 3.60884 25.1000i 0.135820 0.944652i
\(707\) −6.03263 + 6.96203i −0.226880 + 0.261834i
\(708\) −18.6144 18.4162i −0.699571 0.692122i
\(709\) −16.8108 + 14.5667i −0.631344 + 0.547063i −0.910671 0.413133i \(-0.864434\pi\)
0.279326 + 0.960196i \(0.409889\pi\)
\(710\) −12.2145 3.58649i −0.458401 0.134599i
\(711\) 10.5198 0.112623i 0.394522 0.00422370i
\(712\) 2.57505i 0.0965041i
\(713\) −11.2995 8.75876i −0.423171 0.328018i
\(714\) 38.9111 8.68300i 1.45621 0.324953i
\(715\) 0.546014 1.19560i 0.0204198 0.0447130i
\(716\) −4.67404 + 15.9183i −0.174677 + 0.594896i
\(717\) −29.9308 + 40.4322i −1.11779 + 1.50997i
\(718\) −4.44168 6.91139i −0.165762 0.257931i
\(719\) −3.63258 3.14765i −0.135472 0.117387i 0.584489 0.811402i \(-0.301295\pi\)
−0.719961 + 0.694014i \(0.755840\pi\)
\(720\) −1.24715 4.08509i −0.0464784 0.152242i
\(721\) 43.8956 12.8889i 1.63476 0.480008i
\(722\) 0.910530 1.41681i 0.0338864 0.0527283i
\(723\) 6.51538 2.46992i 0.242310 0.0918572i
\(724\) 15.7530 7.19413i 0.585454 0.267368i
\(725\) 6.87703 3.14064i 0.255407 0.116640i
\(726\) −26.1173 + 9.90082i −0.969304 + 0.367454i
\(727\) 16.0082 24.9093i 0.593712 0.923833i −0.406238 0.913767i \(-0.633159\pi\)
0.999949 0.0100660i \(-0.00320416\pi\)
\(728\) 0.633681 0.186066i 0.0234858 0.00689605i
\(729\) 24.9076 + 10.4218i 0.922502 + 0.385992i
\(730\) −12.3742 10.7223i −0.457991 0.396852i
\(731\) 1.39157 + 2.16532i 0.0514690 + 0.0800873i
\(732\) 5.71965 7.72642i 0.211404 0.285577i
\(733\) −1.67520 + 5.70521i −0.0618749 + 0.210727i −0.984628 0.174665i \(-0.944116\pi\)
0.922753 + 0.385392i \(0.125934\pi\)
\(734\) 3.20020 7.00747i 0.118122 0.258650i
\(735\) 16.5643 3.69631i 0.610984 0.136341i
\(736\) 4.78868 0.261718i 0.176513 0.00964705i
\(737\) 4.70805i 0.173423i
\(738\) 0.109289 + 10.2083i 0.00402299 + 0.375774i
\(739\) −4.25778 1.25020i −0.156625 0.0459893i 0.202480 0.979286i \(-0.435100\pi\)
−0.359105 + 0.933297i \(0.616918\pi\)
\(740\) −10.0226 + 8.68466i −0.368439 + 0.319255i
\(741\) 0.908192 + 0.898521i 0.0333633 + 0.0330080i
\(742\) 1.46642 1.69234i 0.0538339 0.0621277i
\(743\) 4.49128 31.2376i 0.164769 1.14600i −0.724721 0.689042i \(-0.758032\pi\)
0.889491 0.456953i \(-0.151059\pi\)
\(744\) −2.49876 4.51846i −0.0916089 0.165655i
\(745\) 6.35945 + 4.08697i 0.232992 + 0.149735i
\(746\) 2.02366 + 14.0749i 0.0740914 + 0.515317i
\(747\) −33.7343 28.6044i −1.23427 1.04658i
\(748\) 13.3663 + 29.2680i 0.488719 + 1.07014i
\(749\) −12.7206 + 1.82894i −0.464799 + 0.0668280i
\(750\) 6.77220 18.4581i 0.247286 0.673995i
\(751\) −1.59683 5.43829i −0.0582690 0.198446i 0.925214 0.379445i \(-0.123885\pi\)
−0.983483 + 0.180999i \(0.942067\pi\)
\(752\) −0.917027 0.131849i −0.0334405 0.00480802i
\(753\) 4.13888 7.67720i 0.150829 0.279773i
\(754\) −0.379202 + 0.243698i −0.0138097 + 0.00887498i
\(755\) −18.2273 21.0354i −0.663358 0.765556i
\(756\) −7.05615 18.0287i −0.256630 0.655697i
\(757\) 20.8632 + 9.52792i 0.758287 + 0.346298i 0.756753 0.653701i \(-0.226784\pi\)
0.00153402 + 0.999999i \(0.499512\pi\)
\(758\) 18.8266 0.683811
\(759\) 23.8049 36.1250i 0.864062 1.31126i
\(760\) −5.92451 −0.214905
\(761\) 11.4464 + 5.22740i 0.414932 + 0.189493i 0.611932 0.790910i \(-0.290393\pi\)
−0.197000 + 0.980403i \(0.563120\pi\)
\(762\) 1.96640 29.7294i 0.0712353 1.07698i
\(763\) −13.1465 15.1719i −0.475935 0.549258i
\(764\) 5.84313 3.75515i 0.211397 0.135857i
\(765\) −7.16257 + 25.3961i −0.258963 + 0.918198i
\(766\) 20.6252 + 2.96546i 0.745219 + 0.107146i
\(767\) 0.754963 + 2.57117i 0.0272601 + 0.0928395i
\(768\) 1.62606 + 0.596594i 0.0586754 + 0.0215277i
\(769\) −29.9806 + 4.31056i −1.08113 + 0.155443i −0.659783 0.751457i \(-0.729352\pi\)
−0.421347 + 0.906900i \(0.638443\pi\)
\(770\) 11.4772 + 25.1316i 0.413610 + 0.905680i
\(771\) 20.8023 15.7469i 0.749178 0.567110i
\(772\) 3.10724 + 21.6113i 0.111832