Properties

Label 177.2.e.a.4.1
Level $177$
Weight $2$
Character 177.4
Analytic conductor $1.413$
Analytic rank $0$
Dimension $140$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.41335211578\)
Analytic rank: \(0\)
Dimension: \(140\)
Relative dimension: \(5\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.1
Character \(\chi\) \(=\) 177.4
Dual form 177.2.e.a.133.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.29327 - 0.249408i) q^{2} +(0.647386 - 0.762162i) q^{3} +(3.24363 + 0.713978i) q^{4} +(-1.11360 - 0.846538i) q^{5} +(-1.67472 + 1.58638i) q^{6} +(0.605271 - 1.51911i) q^{7} +(-2.88838 - 0.973208i) q^{8} +(-0.161782 - 0.986827i) q^{9} +O(q^{10})\) \(q+(-2.29327 - 0.249408i) q^{2} +(0.647386 - 0.762162i) q^{3} +(3.24363 + 0.713978i) q^{4} +(-1.11360 - 0.846538i) q^{5} +(-1.67472 + 1.58638i) q^{6} +(0.605271 - 1.51911i) q^{7} +(-2.88838 - 0.973208i) q^{8} +(-0.161782 - 0.986827i) q^{9} +(2.34265 + 2.21908i) q^{10} +(-0.0689026 + 0.0318778i) q^{11} +(2.64405 - 2.00996i) q^{12} +(0.0422595 - 0.257771i) q^{13} +(-1.76693 + 3.33278i) q^{14} +(-1.36613 + 0.300708i) q^{15} +(0.352468 + 0.163069i) q^{16} +(-2.01049 - 5.04594i) q^{17} +(0.124887 + 2.30341i) q^{18} +(-2.27132 - 3.34995i) q^{19} +(-3.00771 - 3.54095i) q^{20} +(-0.765968 - 1.44477i) q^{21} +(0.165963 - 0.0559194i) q^{22} +(0.190332 - 3.51047i) q^{23} +(-2.61164 + 1.57137i) q^{24} +(-0.814160 - 2.93234i) q^{25} +(-0.161203 + 0.580599i) q^{26} +(-0.856857 - 0.515554i) q^{27} +(3.04789 - 4.49530i) q^{28} +(2.87022 - 0.312155i) q^{29} +(3.20790 - 0.348880i) q^{30} +(-3.62843 + 5.35154i) q^{31} +(4.45564 + 2.68087i) q^{32} +(-0.0203106 + 0.0731522i) q^{33} +(3.35209 + 12.0731i) q^{34} +(-1.96002 + 1.17930i) q^{35} +(0.179811 - 3.31641i) q^{36} +(4.27614 - 1.44080i) q^{37} +(4.37325 + 8.24882i) q^{38} +(-0.169105 - 0.199086i) q^{39} +(2.39264 + 3.52889i) q^{40} +(0.625949 + 11.5450i) q^{41} +(1.39623 + 3.50428i) q^{42} +(-1.54395 - 0.714308i) q^{43} +(-0.246255 + 0.0542048i) q^{44} +(-0.655225 + 1.23589i) q^{45} +(-1.31202 + 8.00299i) q^{46} +(10.5238 - 7.99999i) q^{47} +(0.352468 - 0.163069i) q^{48} +(3.14061 + 2.97495i) q^{49} +(1.13574 + 6.92770i) q^{50} +(-5.14738 - 1.73436i) q^{51} +(0.321118 - 0.805944i) q^{52} +(-2.61790 + 2.47981i) q^{53} +(1.83642 + 1.39601i) q^{54} +(0.103716 + 0.0228296i) q^{55} +(-3.22666 + 3.79872i) q^{56} +(-4.02363 - 0.437596i) q^{57} -6.66004 q^{58} +(4.46312 + 6.25145i) q^{59} -4.64592 q^{60} +(2.51361 + 0.273372i) q^{61} +(9.65569 - 11.3676i) q^{62} +(-1.59702 - 0.351532i) q^{63} +(-10.1677 - 7.72929i) q^{64} +(-0.265274 + 0.251280i) q^{65} +(0.0648224 - 0.162692i) q^{66} +(6.44808 + 2.17261i) q^{67} +(-2.91859 - 17.8026i) q^{68} +(-2.55233 - 2.41770i) q^{69} +(4.78898 - 2.21562i) q^{70} +(4.12132 - 3.13295i) q^{71} +(-0.493100 + 3.00778i) q^{72} +(1.21065 - 2.28352i) q^{73} +(-10.1657 + 2.23764i) q^{74} +(-2.76199 - 1.27783i) q^{75} +(-4.97555 - 12.4877i) q^{76} +(0.00672122 + 0.123966i) q^{77} +(0.338150 + 0.498735i) q^{78} +(-7.99684 - 9.41461i) q^{79} +(-0.254465 - 0.479971i) q^{80} +(-0.947653 + 0.319302i) q^{81} +(1.44393 - 26.6318i) q^{82} +(-10.5942 + 6.37432i) q^{83} +(-1.45299 - 5.23318i) q^{84} +(-2.03270 + 7.32112i) q^{85} +(3.36254 + 2.02317i) q^{86} +(1.62023 - 2.38966i) q^{87} +(0.230041 - 0.0250184i) q^{88} +(3.63292 - 0.395103i) q^{89} +(1.81085 - 2.67080i) q^{90} +(-0.366006 - 0.220218i) q^{91} +(3.12377 - 11.2508i) q^{92} +(1.72974 + 6.22997i) q^{93} +(-26.1292 + 15.7214i) q^{94} +(-0.306511 + 5.65327i) q^{95} +(4.92778 - 1.66036i) q^{96} +(8.09866 + 15.2757i) q^{97} +(-6.46029 - 7.60564i) q^{98} +(0.0426050 + 0.0628377i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + O(q^{10}) \) \( 140q - q^{2} - 5q^{3} - 9q^{4} - 2q^{5} - q^{6} - 2q^{7} - 9q^{8} - 5q^{9} + 88q^{10} - 14q^{11} - 9q^{12} - 12q^{13} - q^{14} - 2q^{15} - 41q^{16} - 16q^{17} - q^{18} - 10q^{19} - 32q^{20} + 27q^{21} - 26q^{22} - 22q^{23} - 9q^{24} + 27q^{25} - 56q^{26} - 5q^{27} - 50q^{28} - 24q^{29} - 28q^{30} - 24q^{31} + 106q^{32} - 14q^{33} - 54q^{34} - 70q^{35} - 9q^{36} - 28q^{37} - 80q^{38} - 12q^{39} - 50q^{40} - 40q^{41} - 30q^{42} + 4q^{43} - 104q^{44} - 2q^{45} - 28q^{46} + 31q^{47} - 41q^{48} - q^{49} + 39q^{50} - 16q^{51} + 62q^{52} + 4q^{53} - q^{54} + 5q^{55} + 96q^{56} - 10q^{57} + 128q^{58} - q^{59} - 32q^{60} - 16q^{61} + 223q^{62} - 2q^{63} + 97q^{64} + 121q^{65} - 26q^{66} - 12q^{67} + 10q^{68} + 36q^{69} - 2q^{70} - 22q^{71} - 9q^{72} + 179q^{73} - 38q^{74} - 31q^{75} + 112q^{76} - 62q^{77} - 56q^{78} - 84q^{79} + 204q^{80} - 5q^{81} - 152q^{82} - 88q^{83} + 95q^{84} - 118q^{85} - 118q^{86} + 34q^{87} + 18q^{88} - 86q^{89} - 28q^{90} + 78q^{91} - 174q^{92} - 24q^{93} - 164q^{94} + 218q^{95} - 39q^{96} - 84q^{97} + 129q^{98} - 14q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.29327 0.249408i −1.62159 0.176358i −0.748229 0.663440i \(-0.769096\pi\)
−0.873356 + 0.487082i \(0.838061\pi\)
\(3\) 0.647386 0.762162i 0.373769 0.440034i
\(4\) 3.24363 + 0.713978i 1.62182 + 0.356989i
\(5\) −1.11360 0.846538i −0.498018 0.378583i 0.325799 0.945439i \(-0.394367\pi\)
−0.823817 + 0.566856i \(0.808160\pi\)
\(6\) −1.67472 + 1.58638i −0.683702 + 0.647636i
\(7\) 0.605271 1.51911i 0.228771 0.574171i −0.769119 0.639106i \(-0.779305\pi\)
0.997890 + 0.0649346i \(0.0206839\pi\)
\(8\) −2.88838 0.973208i −1.02120 0.344081i
\(9\) −0.161782 0.986827i −0.0539273 0.328942i
\(10\) 2.34265 + 2.21908i 0.740812 + 0.701735i
\(11\) −0.0689026 + 0.0318778i −0.0207749 + 0.00961150i −0.430249 0.902710i \(-0.641574\pi\)
0.409474 + 0.912322i \(0.365712\pi\)
\(12\) 2.64405 2.00996i 0.763272 0.580224i
\(13\) 0.0422595 0.257771i 0.0117207 0.0714929i −0.980319 0.197422i \(-0.936743\pi\)
0.992039 + 0.125929i \(0.0401913\pi\)
\(14\) −1.76693 + 3.33278i −0.472231 + 0.890722i
\(15\) −1.36613 + 0.300708i −0.352733 + 0.0776424i
\(16\) 0.352468 + 0.163069i 0.0881169 + 0.0407672i
\(17\) −2.01049 5.04594i −0.487614 1.22382i −0.942781 0.333413i \(-0.891800\pi\)
0.455166 0.890406i \(-0.349580\pi\)
\(18\) 0.124887 + 2.30341i 0.0294362 + 0.542918i
\(19\) −2.27132 3.34995i −0.521077 0.768531i 0.472543 0.881307i \(-0.343336\pi\)
−0.993620 + 0.112776i \(0.964026\pi\)
\(20\) −3.00771 3.54095i −0.672544 0.791780i
\(21\) −0.765968 1.44477i −0.167148 0.315274i
\(22\) 0.165963 0.0559194i 0.0353834 0.0119221i
\(23\) 0.190332 3.51047i 0.0396870 0.731984i −0.909198 0.416363i \(-0.863304\pi\)
0.948885 0.315621i \(-0.102213\pi\)
\(24\) −2.61164 + 1.57137i −0.533098 + 0.320755i
\(25\) −0.814160 2.93234i −0.162832 0.586468i
\(26\) −0.161203 + 0.580599i −0.0316144 + 0.113865i
\(27\) −0.856857 0.515554i −0.164902 0.0992184i
\(28\) 3.04789 4.49530i 0.575997 0.849532i
\(29\) 2.87022 0.312155i 0.532987 0.0579658i 0.162331 0.986736i \(-0.448099\pi\)
0.370655 + 0.928771i \(0.379133\pi\)
\(30\) 3.20790 0.348880i 0.585680 0.0636965i
\(31\) −3.62843 + 5.35154i −0.651686 + 0.961165i 0.348033 + 0.937482i \(0.386850\pi\)
−0.999720 + 0.0236829i \(0.992461\pi\)
\(32\) 4.45564 + 2.68087i 0.787654 + 0.473916i
\(33\) −0.0203106 + 0.0731522i −0.00353562 + 0.0127342i
\(34\) 3.35209 + 12.0731i 0.574878 + 2.07052i
\(35\) −1.96002 + 1.17930i −0.331304 + 0.199339i
\(36\) 0.179811 3.31641i 0.0299685 0.552736i
\(37\) 4.27614 1.44080i 0.702993 0.236866i 0.0549717 0.998488i \(-0.482493\pi\)
0.648022 + 0.761622i \(0.275597\pi\)
\(38\) 4.37325 + 8.24882i 0.709434 + 1.33813i
\(39\) −0.169105 0.199086i −0.0270785 0.0318793i
\(40\) 2.39264 + 3.52889i 0.378310 + 0.557966i
\(41\) 0.625949 + 11.5450i 0.0977568 + 1.80302i 0.478239 + 0.878230i \(0.341275\pi\)
−0.380482 + 0.924788i \(0.624242\pi\)
\(42\) 1.39623 + 3.50428i 0.215443 + 0.540722i
\(43\) −1.54395 0.714308i −0.235450 0.108931i 0.298617 0.954373i \(-0.403475\pi\)
−0.534067 + 0.845442i \(0.679337\pi\)
\(44\) −0.246255 + 0.0542048i −0.0371243 + 0.00817168i
\(45\) −0.655225 + 1.23589i −0.0976752 + 0.184235i
\(46\) −1.31202 + 8.00299i −0.193447 + 1.17998i
\(47\) 10.5238 7.99999i 1.53506 1.16692i 0.606871 0.794801i \(-0.292425\pi\)
0.928185 0.372119i \(-0.121369\pi\)
\(48\) 0.352468 0.163069i 0.0508743 0.0235370i
\(49\) 3.14061 + 2.97495i 0.448659 + 0.424992i
\(50\) 1.13574 + 6.92770i 0.160618 + 0.979724i
\(51\) −5.14738 1.73436i −0.720778 0.242858i
\(52\) 0.321118 0.805944i 0.0445310 0.111764i
\(53\) −2.61790 + 2.47981i −0.359596 + 0.340627i −0.846074 0.533065i \(-0.821040\pi\)
0.486478 + 0.873693i \(0.338281\pi\)
\(54\) 1.83642 + 1.39601i 0.249905 + 0.189973i
\(55\) 0.103716 + 0.0228296i 0.0139850 + 0.00307834i
\(56\) −3.22666 + 3.79872i −0.431181 + 0.507626i
\(57\) −4.02363 0.437596i −0.532942 0.0579610i
\(58\) −6.66004 −0.874506
\(59\) 4.46312 + 6.25145i 0.581049 + 0.813869i
\(60\) −4.64592 −0.599786
\(61\) 2.51361 + 0.273372i 0.321835 + 0.0350017i 0.267611 0.963527i \(-0.413766\pi\)
0.0542245 + 0.998529i \(0.482731\pi\)
\(62\) 9.65569 11.3676i 1.22627 1.44368i
\(63\) −1.59702 0.351532i −0.201206 0.0442888i
\(64\) −10.1677 7.72929i −1.27096 0.966161i
\(65\) −0.265274 + 0.251280i −0.0329031 + 0.0311675i
\(66\) 0.0648224 0.162692i 0.00797909 0.0200260i
\(67\) 6.44808 + 2.17261i 0.787759 + 0.265427i 0.684294 0.729206i \(-0.260111\pi\)
0.103465 + 0.994633i \(0.467007\pi\)
\(68\) −2.91859 17.8026i −0.353931 2.15889i
\(69\) −2.55233 2.41770i −0.307265 0.291056i
\(70\) 4.78898 2.21562i 0.572392 0.264817i
\(71\) 4.12132 3.13295i 0.489111 0.371812i −0.331357 0.943506i \(-0.607506\pi\)
0.820467 + 0.571693i \(0.193713\pi\)
\(72\) −0.493100 + 3.00778i −0.0581124 + 0.354470i
\(73\) 1.21065 2.28352i 0.141695 0.267266i −0.802500 0.596652i \(-0.796497\pi\)
0.944195 + 0.329387i \(0.106842\pi\)
\(74\) −10.1657 + 2.23764i −1.18174 + 0.260120i
\(75\) −2.76199 1.27783i −0.318927 0.147552i
\(76\) −4.97555 12.4877i −0.570735 1.43244i
\(77\) 0.00672122 + 0.123966i 0.000765954 + 0.0141272i
\(78\) 0.338150 + 0.498735i 0.0382880 + 0.0564706i
\(79\) −7.99684 9.41461i −0.899715 1.05923i −0.997946 0.0640623i \(-0.979594\pi\)
0.0982313 0.995164i \(-0.468681\pi\)
\(80\) −0.254465 0.479971i −0.0284500 0.0536624i
\(81\) −0.947653 + 0.319302i −0.105295 + 0.0354779i
\(82\) 1.44393 26.6318i 0.159456 2.94099i
\(83\) −10.5942 + 6.37432i −1.16286 + 0.699672i −0.960128 0.279561i \(-0.909811\pi\)
−0.202737 + 0.979233i \(0.564984\pi\)
\(84\) −1.45299 5.23318i −0.158534 0.570987i
\(85\) −2.03270 + 7.32112i −0.220477 + 0.794087i
\(86\) 3.36254 + 2.02317i 0.362592 + 0.218164i
\(87\) 1.62023 2.38966i 0.173707 0.256198i
\(88\) 0.230041 0.0250184i 0.0245224 0.00266697i
\(89\) 3.63292 0.395103i 0.385088 0.0418809i 0.0864724 0.996254i \(-0.472441\pi\)
0.298616 + 0.954373i \(0.403475\pi\)
\(90\) 1.81085 2.67080i 0.190880 0.281527i
\(91\) −0.366006 0.220218i −0.0383679 0.0230852i
\(92\) 3.12377 11.2508i 0.325675 1.17298i
\(93\) 1.72974 + 6.22997i 0.179366 + 0.646018i
\(94\) −26.1292 + 15.7214i −2.69502 + 1.62154i
\(95\) −0.306511 + 5.65327i −0.0314474 + 0.580013i
\(96\) 4.92778 1.66036i 0.502940 0.169460i
\(97\) 8.09866 + 15.2757i 0.822295 + 1.55101i 0.834448 + 0.551086i \(0.185786\pi\)
−0.0121535 + 0.999926i \(0.503869\pi\)
\(98\) −6.46029 7.60564i −0.652588 0.768286i
\(99\) 0.0426050 + 0.0628377i 0.00428197 + 0.00631543i
\(100\) −0.547212 10.0927i −0.0547212 1.00927i
\(101\) −1.30136 3.26618i −0.129491 0.324997i 0.849909 0.526930i \(-0.176657\pi\)
−0.979399 + 0.201933i \(0.935278\pi\)
\(102\) 11.3718 + 5.26114i 1.12597 + 0.520931i
\(103\) 5.71007 1.25688i 0.562630 0.123844i 0.0754561 0.997149i \(-0.475959\pi\)
0.487174 + 0.873305i \(0.338028\pi\)
\(104\) −0.372927 + 0.703414i −0.0365685 + 0.0689754i
\(105\) −0.370068 + 2.25732i −0.0361150 + 0.220292i
\(106\) 6.62203 5.03393i 0.643188 0.488939i
\(107\) 11.3472 5.24975i 1.09697 0.507513i 0.213949 0.976845i \(-0.431367\pi\)
0.883022 + 0.469332i \(0.155505\pi\)
\(108\) −2.41124 2.28405i −0.232021 0.219782i
\(109\) 0.991168 + 6.04586i 0.0949367 + 0.579088i 0.990862 + 0.134883i \(0.0430657\pi\)
−0.895925 + 0.444206i \(0.853486\pi\)
\(110\) −0.232154 0.0782219i −0.0221350 0.00745817i
\(111\) 1.67019 4.19187i 0.158528 0.397874i
\(112\) 0.461059 0.436738i 0.0435660 0.0412679i
\(113\) 2.95734 + 2.24811i 0.278203 + 0.211484i 0.734966 0.678104i \(-0.237198\pi\)
−0.456763 + 0.889588i \(0.650991\pi\)
\(114\) 9.11812 + 2.00705i 0.853990 + 0.187977i
\(115\) −3.18370 + 3.74814i −0.296882 + 0.349516i
\(116\) 9.53282 + 1.03676i 0.885100 + 0.0962604i
\(117\) −0.261213 −0.0241491
\(118\) −8.67597 15.4494i −0.798688 1.42223i
\(119\) −8.88225 −0.814234
\(120\) 4.23855 + 0.460970i 0.386925 + 0.0420806i
\(121\) −7.11752 + 8.37939i −0.647047 + 0.761763i
\(122\) −5.69621 1.25383i −0.515711 0.113517i
\(123\) 9.20435 + 6.99697i 0.829929 + 0.630895i
\(124\) −15.5902 + 14.7678i −1.40004 + 1.32619i
\(125\) −4.16449 + 10.4521i −0.372484 + 0.934863i
\(126\) 3.57473 + 1.20447i 0.318462 + 0.107302i
\(127\) −3.36780 20.5427i −0.298844 1.82287i −0.527725 0.849415i \(-0.676955\pi\)
0.228881 0.973454i \(-0.426493\pi\)
\(128\) 13.8392 + 13.1092i 1.22322 + 1.15870i
\(129\) −1.54395 + 0.714308i −0.135937 + 0.0628913i
\(130\) 0.671015 0.510092i 0.0588519 0.0447380i
\(131\) 1.64449 10.0309i 0.143679 0.876405i −0.812358 0.583159i \(-0.801816\pi\)
0.956037 0.293246i \(-0.0947354\pi\)
\(132\) −0.118109 + 0.222778i −0.0102801 + 0.0193903i
\(133\) −6.46372 + 1.42277i −0.560476 + 0.123370i
\(134\) −14.2453 6.59059i −1.23061 0.569340i
\(135\) 0.517762 + 1.29948i 0.0445618 + 0.111842i
\(136\) 0.896295 + 16.5312i 0.0768567 + 1.41754i
\(137\) −1.43544 2.11712i −0.122638 0.180878i 0.761414 0.648266i \(-0.224505\pi\)
−0.884052 + 0.467388i \(0.845195\pi\)
\(138\) 5.25019 + 6.18100i 0.446926 + 0.526161i
\(139\) 6.80166 + 12.8293i 0.576910 + 1.08817i 0.984563 + 0.175030i \(0.0560023\pi\)
−0.407654 + 0.913137i \(0.633653\pi\)
\(140\) −7.19958 + 2.42582i −0.608476 + 0.205019i
\(141\) 0.715680 13.1999i 0.0602711 1.11164i
\(142\) −10.2327 + 6.15679i −0.858707 + 0.516667i
\(143\) 0.00530539 + 0.0191083i 0.000443659 + 0.00159791i
\(144\) 0.103898 0.374206i 0.00865815 0.0311838i
\(145\) −3.46053 2.08213i −0.287382 0.172912i
\(146\) −3.34586 + 4.93478i −0.276906 + 0.408405i
\(147\) 4.30058 0.467716i 0.354706 0.0385766i
\(148\) 14.8989 1.62036i 1.22469 0.133193i
\(149\) −0.917698 + 1.35350i −0.0751808 + 0.110883i −0.863420 0.504485i \(-0.831682\pi\)
0.788240 + 0.615368i \(0.210993\pi\)
\(150\) 6.01529 + 3.61928i 0.491146 + 0.295513i
\(151\) 3.73140 13.4393i 0.303657 1.09367i −0.641518 0.767108i \(-0.721695\pi\)
0.945175 0.326565i \(-0.105891\pi\)
\(152\) 3.30024 + 11.8864i 0.267685 + 0.964113i
\(153\) −4.65421 + 2.80034i −0.376270 + 0.226394i
\(154\) 0.0155045 0.285963i 0.00124938 0.0230435i
\(155\) 8.57091 2.88788i 0.688432 0.231960i
\(156\) −0.406373 0.766501i −0.0325359 0.0613692i
\(157\) 12.7662 + 15.0296i 1.01886 + 1.19949i 0.979744 + 0.200256i \(0.0641773\pi\)
0.0391128 + 0.999235i \(0.487547\pi\)
\(158\) 15.9908 + 23.5847i 1.27216 + 1.87630i
\(159\) 0.195222 + 3.60065i 0.0154821 + 0.285551i
\(160\) −2.69235 6.75730i −0.212849 0.534211i
\(161\) −5.21761 2.41392i −0.411205 0.190244i
\(162\) 2.25286 0.495892i 0.177001 0.0389609i
\(163\) −0.983560 + 1.85519i −0.0770384 + 0.145310i −0.919039 0.394167i \(-0.871033\pi\)
0.842000 + 0.539477i \(0.181378\pi\)
\(164\) −6.21249 + 37.8945i −0.485114 + 2.95906i
\(165\) 0.0845440 0.0642687i 0.00658174 0.00500331i
\(166\) 25.8852 11.9757i 2.00908 0.929498i
\(167\) −16.2304 15.3743i −1.25595 1.18970i −0.973063 0.230541i \(-0.925950\pi\)
−0.282884 0.959154i \(-0.591291\pi\)
\(168\) 0.806344 + 4.91848i 0.0622108 + 0.379469i
\(169\) 12.2548 + 4.12913i 0.942679 + 0.317626i
\(170\) 6.48747 16.2823i 0.497566 1.24880i
\(171\) −2.93836 + 2.78336i −0.224702 + 0.212849i
\(172\) −4.49801 3.41930i −0.342970 0.260719i
\(173\) −5.22705 1.15056i −0.397405 0.0874754i 0.0117715 0.999931i \(-0.496253\pi\)
−0.409176 + 0.912455i \(0.634184\pi\)
\(174\) −4.31162 + 5.07603i −0.326863 + 0.384813i
\(175\) −4.94734 0.538056i −0.373984 0.0406732i
\(176\) −0.0294842 −0.00222246
\(177\) 7.65398 + 0.645481i 0.575308 + 0.0485173i
\(178\) −8.42979 −0.631840
\(179\) −17.0119 1.85016i −1.27153 0.138287i −0.552645 0.833417i \(-0.686382\pi\)
−0.718885 + 0.695129i \(0.755347\pi\)
\(180\) −3.00771 + 3.54095i −0.224181 + 0.263927i
\(181\) 21.9375 + 4.82880i 1.63060 + 0.358922i 0.933646 0.358196i \(-0.116608\pi\)
0.696952 + 0.717118i \(0.254539\pi\)
\(182\) 0.784426 + 0.596305i 0.0581455 + 0.0442011i
\(183\) 1.83563 1.73880i 0.135694 0.128536i
\(184\) −3.96617 + 9.95434i −0.292390 + 0.733844i
\(185\) −5.98161 2.01544i −0.439777 0.148178i
\(186\) −2.41296 14.7184i −0.176927 1.07921i
\(187\) 0.299381 + 0.283589i 0.0218929 + 0.0207381i
\(188\) 39.8472 18.4353i 2.90616 1.34453i
\(189\) −1.30182 + 0.989615i −0.0946932 + 0.0719839i
\(190\) 2.11288 12.8880i 0.153285 0.934995i
\(191\) −4.55149 + 8.58501i −0.329334 + 0.621190i −0.991785 0.127915i \(-0.959171\pi\)
0.662451 + 0.749105i \(0.269516\pi\)
\(192\) −12.4734 + 2.74560i −0.900190 + 0.198147i
\(193\) −20.8559 9.64898i −1.50124 0.694549i −0.514598 0.857432i \(-0.672059\pi\)
−0.986645 + 0.162883i \(0.947921\pi\)
\(194\) −14.7625 37.0512i −1.05989 2.66012i
\(195\) 0.0197820 + 0.364857i 0.00141662 + 0.0261280i
\(196\) 8.06295 + 11.8920i 0.575925 + 0.849426i
\(197\) −3.73737 4.39998i −0.266277 0.313485i 0.612732 0.790291i \(-0.290070\pi\)
−0.879009 + 0.476805i \(0.841795\pi\)
\(198\) −0.0820325 0.154730i −0.00582980 0.0109962i
\(199\) 13.3374 4.49389i 0.945463 0.318564i 0.195995 0.980605i \(-0.437206\pi\)
0.749467 + 0.662041i \(0.230310\pi\)
\(200\) −0.502174 + 9.26205i −0.0355090 + 0.654926i
\(201\) 5.83028 3.50796i 0.411236 0.247433i
\(202\) 2.16977 + 7.81479i 0.152664 + 0.549847i
\(203\) 1.26306 4.54913i 0.0886494 0.319286i
\(204\) −15.4579 9.30073i −1.08227 0.651182i
\(205\) 9.07618 13.3864i 0.633908 0.934944i
\(206\) −13.4082 + 1.45823i −0.934194 + 0.101600i
\(207\) −3.49502 + 0.380106i −0.242921 + 0.0264192i
\(208\) 0.0569296 0.0839649i 0.00394736 0.00582192i
\(209\) 0.263289 + 0.158416i 0.0182121 + 0.0109578i
\(210\) 1.41166 5.08434i 0.0974137 0.350852i
\(211\) −0.918825 3.30931i −0.0632545 0.227822i 0.925166 0.379563i \(-0.123926\pi\)
−0.988420 + 0.151741i \(0.951512\pi\)
\(212\) −10.2620 + 6.17446i −0.704799 + 0.424064i
\(213\) 0.280273 5.16934i 0.0192040 0.354197i
\(214\) −27.3314 + 9.20902i −1.86834 + 0.629516i
\(215\) 1.11466 + 2.10247i 0.0760190 + 0.143387i
\(216\) 1.97319 + 2.32301i 0.134258 + 0.158061i
\(217\) 5.93342 + 8.75114i 0.402787 + 0.594066i
\(218\) −0.765129 14.1120i −0.0518211 0.955784i
\(219\) −0.956656 2.40103i −0.0646449 0.162246i
\(220\) 0.320116 + 0.148102i 0.0215822 + 0.00998501i
\(221\) −1.38566 + 0.305007i −0.0932096 + 0.0205170i
\(222\) −4.87569 + 9.19652i −0.327235 + 0.617230i
\(223\) 1.12501 6.86228i 0.0753365 0.459532i −0.922037 0.387102i \(-0.873476\pi\)
0.997373 0.0724304i \(-0.0230755\pi\)
\(224\) 6.76942 5.14598i 0.452301 0.343830i
\(225\) −2.76199 + 1.27783i −0.184133 + 0.0851889i
\(226\) −6.22127 5.89310i −0.413833 0.392003i
\(227\) 3.88117 + 23.6741i 0.257602 + 1.57130i 0.725943 + 0.687755i \(0.241404\pi\)
−0.468341 + 0.883548i \(0.655148\pi\)
\(228\) −12.7387 4.29218i −0.843644 0.284257i
\(229\) −5.68622 + 14.2713i −0.375756 + 0.943077i 0.612527 + 0.790449i \(0.290153\pi\)
−0.988284 + 0.152628i \(0.951226\pi\)
\(230\) 8.23590 7.80146i 0.543059 0.514413i
\(231\) 0.0988332 + 0.0751310i 0.00650274 + 0.00494326i
\(232\) −8.59407 1.89170i −0.564229 0.124196i
\(233\) −17.2312 + 20.2862i −1.12886 + 1.32899i −0.191151 + 0.981561i \(0.561222\pi\)
−0.937705 + 0.347432i \(0.887054\pi\)
\(234\) 0.599031 + 0.0651485i 0.0391599 + 0.00425889i
\(235\) −18.4916 −1.20626
\(236\) 10.0133 + 23.4640i 0.651812 + 1.52737i
\(237\) −12.3525 −0.802381
\(238\) 20.3694 + 2.21530i 1.32035 + 0.143597i
\(239\) 13.8252 16.2763i 0.894279 1.05283i −0.104023 0.994575i \(-0.533172\pi\)
0.998302 0.0582512i \(-0.0185524\pi\)
\(240\) −0.530553 0.116783i −0.0342470 0.00753834i
\(241\) 9.05548 + 6.88380i 0.583315 + 0.443424i 0.854756 0.519031i \(-0.173707\pi\)
−0.271441 + 0.962455i \(0.587500\pi\)
\(242\) 18.4123 17.4410i 1.18359 1.12115i
\(243\) −0.370138 + 0.928977i −0.0237444 + 0.0595939i
\(244\) 7.95807 + 2.68138i 0.509463 + 0.171658i
\(245\) −0.978986 5.97155i −0.0625451 0.381508i
\(246\) −19.3630 18.3416i −1.23454 1.16942i
\(247\) −0.959506 + 0.443915i −0.0610519 + 0.0282456i
\(248\) 15.6885 11.9261i 0.996218 0.757305i
\(249\) −2.00028 + 12.2011i −0.126762 + 0.773216i
\(250\) 12.1571 22.9308i 0.768885 1.45027i
\(251\) 8.99896 1.98082i 0.568009 0.125028i 0.0783245 0.996928i \(-0.475043\pi\)
0.489685 + 0.871900i \(0.337112\pi\)
\(252\) −4.92918 2.28048i −0.310509 0.143657i
\(253\) 0.0987916 + 0.247948i 0.00621097 + 0.0155884i
\(254\) 2.59977 + 47.9499i 0.163124 + 3.00864i
\(255\) 4.26394 + 6.28884i 0.267018 + 0.393822i
\(256\) −11.9306 14.0458i −0.745663 0.877863i
\(257\) −8.82612 16.6478i −0.550558 1.03846i −0.990116 0.140249i \(-0.955210\pi\)
0.439558 0.898214i \(-0.355135\pi\)
\(258\) 3.71885 1.25303i 0.231525 0.0780100i
\(259\) 0.399483 7.36802i 0.0248226 0.457827i
\(260\) −1.03986 + 0.625663i −0.0644893 + 0.0388019i
\(261\) −0.772393 2.78191i −0.0478099 0.172196i
\(262\) −6.27304 + 22.5934i −0.387549 + 1.39583i
\(263\) 9.38401 + 5.64617i 0.578643 + 0.348158i 0.774597 0.632455i \(-0.217953\pi\)
−0.195954 + 0.980613i \(0.562780\pi\)
\(264\) 0.129857 0.191525i 0.00799215 0.0117875i
\(265\) 5.01455 0.545365i 0.308041 0.0335015i
\(266\) 15.1779 1.65070i 0.930617 0.101211i
\(267\) 2.05077 3.02466i 0.125505 0.185106i
\(268\) 19.3640 + 11.6509i 1.18285 + 0.711695i
\(269\) 0.737489 2.65619i 0.0449655 0.161951i −0.937659 0.347557i \(-0.887011\pi\)
0.982624 + 0.185606i \(0.0594249\pi\)
\(270\) −0.863265 3.10920i −0.0525366 0.189220i
\(271\) −2.25929 + 1.35937i −0.137242 + 0.0825760i −0.582519 0.812817i \(-0.697933\pi\)
0.445277 + 0.895393i \(0.353105\pi\)
\(272\) 0.114205 2.10638i 0.00692467 0.127718i
\(273\) −0.404789 + 0.136389i −0.0244990 + 0.00825466i
\(274\) 2.76383 + 5.21313i 0.166969 + 0.314937i
\(275\) 0.149574 + 0.176092i 0.00901966 + 0.0106188i
\(276\) −6.55265 9.66443i −0.394423 0.581730i
\(277\) −0.182932 3.37398i −0.0109913 0.202723i −0.998871 0.0475022i \(-0.984874\pi\)
0.987880 0.155221i \(-0.0496089\pi\)
\(278\) −12.3983 31.1174i −0.743601 1.86630i
\(279\) 5.86806 + 2.71485i 0.351311 + 0.162534i
\(280\) 6.80898 1.49877i 0.406914 0.0895686i
\(281\) −3.43628 + 6.48151i −0.204991 + 0.386654i −0.964597 0.263730i \(-0.915047\pi\)
0.759605 + 0.650384i \(0.225392\pi\)
\(282\) −4.93342 + 30.0925i −0.293781 + 1.79198i
\(283\) −7.11414 + 5.40803i −0.422892 + 0.321474i −0.794884 0.606762i \(-0.792468\pi\)
0.371992 + 0.928236i \(0.378675\pi\)
\(284\) 15.6049 7.21960i 0.925981 0.428404i
\(285\) 4.11028 + 3.89346i 0.243472 + 0.230629i
\(286\) −0.00740092 0.0451436i −0.000437625 0.00266940i
\(287\) 17.9170 + 6.03693i 1.05761 + 0.356349i
\(288\) 1.92471 4.83066i 0.113415 0.284650i
\(289\) −9.07751 + 8.59868i −0.533971 + 0.505805i
\(290\) 7.41663 + 5.63798i 0.435520 + 0.331073i
\(291\) 16.8855 + 3.71678i 0.989847 + 0.217882i
\(292\) 5.55727 6.54253i 0.325215 0.382872i
\(293\) 11.8459 + 1.28832i 0.692045 + 0.0752645i 0.447381 0.894343i \(-0.352357\pi\)
0.244664 + 0.969608i \(0.421322\pi\)
\(294\) −9.97904 −0.581989
\(295\) 0.321950 10.7398i 0.0187447 0.625296i
\(296\) −13.7533 −0.799395
\(297\) 0.0754744 + 0.00820834i 0.00437947 + 0.000476296i
\(298\) 2.44210 2.87507i 0.141467 0.166548i
\(299\) −0.896856 0.197413i −0.0518665 0.0114167i
\(300\) −8.04655 6.11683i −0.464568 0.353155i
\(301\) −2.01962 + 1.91309i −0.116409 + 0.110269i
\(302\) −11.9090 + 29.8892i −0.685284 + 1.71993i
\(303\) −3.33184 1.12263i −0.191409 0.0644933i
\(304\) −0.254295 1.55113i −0.0145848 0.0889635i
\(305\) −2.56775 2.43230i −0.147029 0.139273i
\(306\) 11.3718 5.26114i 0.650081 0.300759i
\(307\) −22.6499 + 17.2180i −1.29270 + 0.982683i −0.293051 + 0.956097i \(0.594671\pi\)
−0.999647 + 0.0265863i \(0.991536\pi\)
\(308\) −0.0667076 + 0.406898i −0.00380102 + 0.0231852i
\(309\) 2.73868 5.16569i 0.155798 0.293866i
\(310\) −20.3757 + 4.48502i −1.15726 + 0.254732i
\(311\) −18.2578 8.44694i −1.03530 0.478982i −0.172759 0.984964i \(-0.555268\pi\)
−0.862544 + 0.505982i \(0.831130\pi\)
\(312\) 0.294688 + 0.739611i 0.0166834 + 0.0418722i
\(313\) −0.385314 7.10670i −0.0217792 0.401694i −0.989015 0.147815i \(-0.952776\pi\)
0.967236 0.253880i \(-0.0817067\pi\)
\(314\) −25.5279 37.6508i −1.44062 2.12476i
\(315\) 1.48086 + 1.74341i 0.0834372 + 0.0982299i
\(316\) −19.2170 36.2471i −1.08104 2.03906i
\(317\) 9.41034 3.17071i 0.528538 0.178085i −0.0423660 0.999102i \(-0.513490\pi\)
0.570904 + 0.821017i \(0.306593\pi\)
\(318\) 0.450336 8.30596i 0.0252536 0.465775i
\(319\) −0.187815 + 0.113004i −0.0105156 + 0.00632704i
\(320\) 4.77964 + 17.2147i 0.267190 + 0.962330i
\(321\) 3.34483 12.0470i 0.186690 0.672397i
\(322\) 11.3633 + 6.83709i 0.633253 + 0.381016i
\(323\) −12.3372 + 18.1960i −0.686459 + 1.01245i
\(324\) −3.30182 + 0.359094i −0.183434 + 0.0199497i
\(325\) −0.790279 + 0.0859480i −0.0438368 + 0.00476754i
\(326\) 2.71827 4.00914i 0.150551 0.222046i
\(327\) 5.24959 + 3.15857i 0.290303 + 0.174670i
\(328\) 9.42766 33.9554i 0.520555 1.87487i
\(329\) −5.78315 20.8290i −0.318836 1.14834i
\(330\) −0.209911 + 0.126299i −0.0115552 + 0.00695255i
\(331\) 1.08200 19.9563i 0.0594721 1.09690i −0.804694 0.593690i \(-0.797670\pi\)
0.864166 0.503207i \(-0.167847\pi\)
\(332\) −38.9148 + 13.1119i −2.13573 + 0.719611i
\(333\) −2.11362 3.98672i −0.115826 0.218471i
\(334\) 33.3862 + 39.3053i 1.82681 + 2.15069i
\(335\) −5.34140 7.87797i −0.291832 0.430419i
\(336\) −0.0343821 0.634140i −0.00187570 0.0345952i
\(337\) −6.81994 17.1168i −0.371506 0.932410i −0.989277 0.146052i \(-0.953343\pi\)
0.617771 0.786358i \(-0.288036\pi\)
\(338\) −27.0738 12.5257i −1.47262 0.681306i
\(339\) 3.62796 0.798575i 0.197044 0.0433727i
\(340\) −11.8204 + 22.2957i −0.641054 + 1.20916i
\(341\) 0.0794136 0.484402i 0.00430049 0.0262318i
\(342\) 7.43264 5.65015i 0.401911 0.305525i
\(343\) 16.8090 7.77668i 0.907602 0.419902i
\(344\) 3.76434 + 3.56578i 0.202960 + 0.192254i
\(345\) 0.795608 + 4.85299i 0.0428341 + 0.261276i
\(346\) 11.7001 + 3.94221i 0.628999 + 0.211934i
\(347\) 3.10548 7.79416i 0.166711 0.418412i −0.821758 0.569836i \(-0.807007\pi\)
0.988469 + 0.151424i \(0.0483859\pi\)
\(348\) 6.96159 6.59437i 0.373181 0.353495i
\(349\) −3.66080 2.78286i −0.195958 0.148963i 0.502594 0.864522i \(-0.332379\pi\)
−0.698552 + 0.715559i \(0.746172\pi\)
\(350\) 11.2114 + 2.46781i 0.599274 + 0.131910i
\(351\) −0.169105 + 0.199086i −0.00902618 + 0.0106264i
\(352\) −0.392466 0.0426832i −0.0209185 0.00227502i
\(353\) 9.04434 0.481382 0.240691 0.970602i \(-0.422626\pi\)
0.240691 + 0.970602i \(0.422626\pi\)
\(354\) −17.3916 3.38922i −0.924355 0.180135i
\(355\) −7.24166 −0.384348
\(356\) 12.0659 + 1.31225i 0.639494 + 0.0695492i
\(357\) −5.75024 + 6.76971i −0.304335 + 0.358291i
\(358\) 38.5514 + 8.48581i 2.03751 + 0.448489i
\(359\) −0.0100591 0.00764670i −0.000530897 0.000403578i 0.604909 0.796295i \(-0.293210\pi\)
−0.605440 + 0.795891i \(0.707003\pi\)
\(360\) 3.09531 2.93204i 0.163137 0.154532i
\(361\) 0.969369 2.43293i 0.0510194 0.128049i
\(362\) −49.1041 16.5451i −2.58086 0.869591i
\(363\) 1.77867 + 10.8494i 0.0933559 + 0.569446i
\(364\) −1.02996 0.975629i −0.0539845 0.0511368i
\(365\) −3.28126 + 1.51807i −0.171749 + 0.0794596i
\(366\) −4.64327 + 3.52972i −0.242708 + 0.184502i
\(367\) 4.36634 26.6335i 0.227921 1.39026i −0.586485 0.809960i \(-0.699489\pi\)
0.814406 0.580296i \(-0.197063\pi\)
\(368\) 0.639535 1.20629i 0.0333381 0.0628823i
\(369\) 11.2916 2.48547i 0.587817 0.129388i
\(370\) 13.2148 + 6.11380i 0.687003 + 0.317842i
\(371\) 2.18257 + 5.47784i 0.113313 + 0.284395i
\(372\) 1.16259 + 21.4427i 0.0602776 + 1.11175i
\(373\) 17.2847 + 25.4931i 0.894970 + 1.31998i 0.946966 + 0.321335i \(0.104131\pi\)
−0.0519956 + 0.998647i \(0.516558\pi\)
\(374\) −0.615832 0.725013i −0.0318439 0.0374895i
\(375\) 5.27015 + 9.94056i 0.272149 + 0.513328i
\(376\) −38.1824 + 12.8652i −1.96911 + 0.663470i
\(377\) 0.0408293 0.753052i 0.00210282 0.0387842i
\(378\) 3.23223 1.94477i 0.166248 0.100028i
\(379\) 5.44040 + 19.5946i 0.279455 + 1.00650i 0.961412 + 0.275113i \(0.0887152\pi\)
−0.681957 + 0.731392i \(0.738871\pi\)
\(380\) −5.03052 + 18.1183i −0.258060 + 0.929449i
\(381\) −17.8371 10.7322i −0.913824 0.549830i
\(382\) 12.5789 18.5526i 0.643595 0.949232i
\(383\) −0.188521 + 0.0205029i −0.00963297 + 0.00104765i −0.112934 0.993602i \(-0.536025\pi\)
0.103301 + 0.994650i \(0.467059\pi\)
\(384\) 18.9506 2.06100i 0.967070 0.105175i
\(385\) 0.0974569 0.143738i 0.00496686 0.00732557i
\(386\) 45.4217 + 27.3293i 2.31191 + 1.39103i
\(387\) −0.455114 + 1.63917i −0.0231348 + 0.0833239i
\(388\) 15.3626 + 55.3311i 0.779918 + 2.80901i
\(389\) 13.7086 8.24820i 0.695054 0.418200i −0.123719 0.992317i \(-0.539482\pi\)
0.818773 + 0.574117i \(0.194655\pi\)
\(390\) 0.0456329 0.841649i 0.00231071 0.0426185i
\(391\) −18.0963 + 6.09735i −0.915169 + 0.308356i
\(392\) −6.17603 11.6492i −0.311937 0.588375i
\(393\) −6.58057 7.74724i −0.331946 0.390797i
\(394\) 7.47341 + 11.0225i 0.376505 + 0.555303i
\(395\) 0.935471 + 17.2537i 0.0470687 + 0.868130i
\(396\) 0.0933304 + 0.234242i 0.00469003 + 0.0117711i
\(397\) 8.28322 + 3.83222i 0.415723 + 0.192334i 0.616590 0.787285i \(-0.288514\pi\)
−0.200867 + 0.979619i \(0.564376\pi\)
\(398\) −31.7070 + 6.97925i −1.58933 + 0.349838i
\(399\) −3.10014 + 5.84749i −0.155201 + 0.292740i
\(400\) 0.191208 1.16632i 0.00956041 0.0583159i
\(401\) 0.166234 0.126368i 0.00830131 0.00631049i −0.601015 0.799237i \(-0.705237\pi\)
0.609317 + 0.792927i \(0.291444\pi\)
\(402\) −14.2453 + 6.59059i −0.710492 + 0.328709i
\(403\) 1.22614 + 1.16146i 0.0610783 + 0.0578565i
\(404\) −1.88917 11.5234i −0.0939897 0.573312i
\(405\) 1.32561 + 0.446650i 0.0658700 + 0.0221942i
\(406\) −4.03113 + 10.1174i −0.200061 + 0.502116i
\(407\) −0.248708 + 0.235589i −0.0123280 + 0.0116777i
\(408\) 13.1797 + 10.0189i 0.652492 + 0.496012i
\(409\) 23.5101 + 5.17495i 1.16250 + 0.255885i 0.754000 0.656875i \(-0.228122\pi\)
0.408497 + 0.912760i \(0.366053\pi\)
\(410\) −24.1528 + 28.4349i −1.19282 + 1.40430i
\(411\) −2.54287 0.276554i −0.125431 0.0136414i
\(412\) 19.4188 0.956695
\(413\) 12.1981 2.99617i 0.600227 0.147432i
\(414\) 8.10982 0.398576
\(415\) 17.1938 + 1.86994i 0.844012 + 0.0917918i
\(416\) 0.879346 1.03525i 0.0431135 0.0507571i
\(417\) 14.1813 + 3.12154i 0.694462 + 0.152863i
\(418\) −0.564282 0.428956i −0.0275999 0.0209809i
\(419\) 11.9683 11.3370i 0.584690 0.553847i −0.337134 0.941457i \(-0.609458\pi\)
0.921824 + 0.387609i \(0.126699\pi\)
\(420\) −2.81204 + 7.05769i −0.137214 + 0.344380i
\(421\) −15.8575 5.34301i −0.772846 0.260402i −0.0948737 0.995489i \(-0.530245\pi\)
−0.677973 + 0.735087i \(0.737141\pi\)
\(422\) 1.28174 + 7.81829i 0.0623943 + 0.380589i
\(423\) −9.59717 9.09092i −0.466630 0.442016i
\(424\) 9.97485 4.61486i 0.484421 0.224117i
\(425\) −13.1595 + 10.0036i −0.638331 + 0.485247i
\(426\) −1.93202 + 11.7848i −0.0936065 + 0.570974i
\(427\) 1.93670 3.65300i 0.0937235 0.176781i
\(428\) 40.5542 8.92666i 1.96026 0.431486i
\(429\) 0.0179982 + 0.00832687i 0.000868963 + 0.000402025i
\(430\) −2.03184 5.09953i −0.0979839 0.245921i
\(431\) 1.08486 + 20.0090i 0.0522557 + 0.963800i 0.900680 + 0.434483i \(0.143069\pi\)
−0.848424 + 0.529317i \(0.822448\pi\)
\(432\) −0.217944 0.321443i −0.0104858 0.0154654i
\(433\) −20.7138 24.3861i −0.995440 1.17192i −0.985101 0.171976i \(-0.944985\pi\)
−0.0103391 0.999947i \(-0.503291\pi\)
\(434\) −11.4243 21.5485i −0.548385 1.03436i
\(435\) −3.82722 + 1.28954i −0.183501 + 0.0618288i
\(436\) −1.10162 + 20.3182i −0.0527581 + 0.973067i
\(437\) −12.1922 + 7.33581i −0.583233 + 0.350919i
\(438\) 1.59503 + 5.74480i 0.0762137 + 0.274497i
\(439\) −0.130776 + 0.471011i −0.00624157 + 0.0224801i −0.966605 0.256270i \(-0.917506\pi\)
0.960364 + 0.278750i \(0.0899201\pi\)
\(440\) −0.277353 0.166877i −0.0132223 0.00795557i
\(441\) 2.42766 3.58053i 0.115603 0.170502i
\(442\) 3.25376 0.353868i 0.154766 0.0168318i
\(443\) −19.4611 + 2.11652i −0.924625 + 0.100559i −0.558029 0.829821i \(-0.688442\pi\)
−0.366596 + 0.930380i \(0.619477\pi\)
\(444\) 8.41040 12.4044i 0.399140 0.588687i
\(445\) −4.38009 2.63541i −0.207636 0.124931i
\(446\) −4.29146 + 15.4565i −0.203207 + 0.731885i
\(447\) 0.437484 + 1.57567i 0.0206923 + 0.0745269i
\(448\) −17.8959 + 10.7676i −0.845501 + 0.508721i
\(449\) −0.427892 + 7.89200i −0.0201935 + 0.372446i 0.970918 + 0.239412i \(0.0769547\pi\)
−0.991111 + 0.133034i \(0.957528\pi\)
\(450\) 6.65269 2.24155i 0.313611 0.105668i
\(451\) −0.411157 0.775524i −0.0193606 0.0365180i
\(452\) 7.98742 + 9.40352i 0.375697 + 0.442304i
\(453\) −7.82725 11.5443i −0.367756 0.542400i
\(454\) −2.99606 55.2590i −0.140612 2.59343i
\(455\) 0.221162 + 0.555074i 0.0103682 + 0.0260223i
\(456\) 11.1959 + 5.17977i 0.524295 + 0.242565i
\(457\) −23.0849 + 5.08137i −1.07987 + 0.237696i −0.719062 0.694946i \(-0.755428\pi\)
−0.360803 + 0.932642i \(0.617497\pi\)
\(458\) 16.5994 31.3098i 0.775640 1.46301i
\(459\) −0.878754 + 5.36016i −0.0410167 + 0.250191i
\(460\) −13.0029 + 9.88452i −0.606262 + 0.460868i
\(461\) 15.7565 7.28976i 0.733856 0.339518i −0.0171149 0.999854i \(-0.505448\pi\)
0.750970 + 0.660336i \(0.229586\pi\)
\(462\) −0.207913 0.196945i −0.00967297 0.00916273i
\(463\) −2.03302 12.4009i −0.0944824 0.576317i −0.991059 0.133428i \(-0.957402\pi\)
0.896576 0.442890i \(-0.146047\pi\)
\(464\) 1.06256 + 0.358019i 0.0493283 + 0.0166206i
\(465\) 3.34766 8.40200i 0.155244 0.389633i
\(466\) 44.5754 42.2241i 2.06492 1.95599i
\(467\) 1.11518 + 0.847736i 0.0516043 + 0.0392285i 0.630658 0.776061i \(-0.282785\pi\)
−0.579054 + 0.815289i \(0.696578\pi\)
\(468\) −0.847278 0.186500i −0.0391654 0.00862097i
\(469\) 7.20328 8.48036i 0.332617 0.391587i
\(470\) 42.4063 + 4.61196i 1.95606 + 0.212734i
\(471\) 19.7197 0.908634
\(472\) −6.80722 22.4001i −0.313328 1.03105i
\(473\) 0.129153 0.00593845
\(474\) 28.3276 + 3.08081i 1.30113 + 0.141506i
\(475\) −7.97396 + 9.38768i −0.365871 + 0.430736i
\(476\) −28.8108 6.34173i −1.32054 0.290673i
\(477\) 2.87067 + 2.18222i 0.131439 + 0.0999172i
\(478\) −35.7644 + 33.8778i −1.63582 + 1.54953i
\(479\) 7.79066 19.5531i 0.355964 0.893403i −0.636546 0.771239i \(-0.719637\pi\)
0.992510 0.122164i \(-0.0389833\pi\)
\(480\) −6.89315 2.32257i −0.314628 0.106010i
\(481\) −0.190690 1.16316i −0.00869470 0.0530353i
\(482\) −19.0498 18.0449i −0.867693 0.821923i
\(483\) −5.21761 + 2.41392i −0.237409 + 0.109837i
\(484\) −29.0693 + 22.0979i −1.32133 + 1.00445i
\(485\) 3.91277 23.8669i 0.177670 1.08374i
\(486\) 1.08052 2.03808i 0.0490134 0.0924491i
\(487\) −38.8846 + 8.55914i −1.76203 + 0.387852i −0.973777 0.227503i \(-0.926944\pi\)
−0.788250 + 0.615355i \(0.789013\pi\)
\(488\) −6.99422 3.23587i −0.316614 0.146481i
\(489\) 0.777213 + 1.95066i 0.0351468 + 0.0882118i
\(490\) 0.755726 + 13.9385i 0.0341402 + 0.629679i
\(491\) 12.1297 + 17.8900i 0.547406 + 0.807364i 0.996275 0.0862338i \(-0.0274832\pi\)
−0.448869 + 0.893598i \(0.648173\pi\)
\(492\) 24.8599 + 29.2673i 1.12077 + 1.31947i
\(493\) −7.34565 13.8554i −0.330832 0.624014i
\(494\) 2.31112 0.778707i 0.103982 0.0350357i
\(495\) 0.00574948 0.106043i 0.000258420 0.00476628i
\(496\) −2.15158 + 1.29456i −0.0966086 + 0.0581275i
\(497\) −2.26479 8.15704i −0.101590 0.365893i
\(498\) 7.63023 27.4816i 0.341919 1.23148i
\(499\) −15.3836 9.25602i −0.688666 0.414357i 0.127761 0.991805i \(-0.459221\pi\)
−0.816427 + 0.577448i \(0.804048\pi\)
\(500\) −20.9707 + 30.9294i −0.937836 + 1.38321i
\(501\) −22.2250 + 2.41712i −0.992940 + 0.107989i
\(502\) −21.1311 + 2.29814i −0.943125 + 0.102571i
\(503\) −13.8823 + 20.4748i −0.618979 + 0.912926i −0.999932 0.0116684i \(-0.996286\pi\)
0.380953 + 0.924595i \(0.375596\pi\)
\(504\) 4.27070 + 2.56959i 0.190232 + 0.114459i
\(505\) −1.31574 + 4.73887i −0.0585497 + 0.210877i
\(506\) −0.164715 0.593251i −0.00732249 0.0263732i
\(507\) 11.0807 6.66702i 0.492110 0.296093i
\(508\) 3.74311 69.0375i 0.166074 3.06305i
\(509\) 32.0707 10.8059i 1.42151 0.478962i 0.499562 0.866278i \(-0.333494\pi\)
0.921947 + 0.387316i \(0.126598\pi\)
\(510\) −8.20987 15.4854i −0.363539 0.685707i
\(511\) −2.73616 3.22126i −0.121041 0.142500i
\(512\) 2.46186 + 3.63097i 0.108800 + 0.160468i
\(513\) 0.219119 + 4.04142i 0.00967435 + 0.178433i
\(514\) 16.0886 + 40.3792i 0.709636 + 1.78105i
\(515\) −7.42275 3.43413i −0.327085 0.151326i
\(516\) −5.51801 + 1.21461i −0.242917 + 0.0534701i
\(517\) −0.470097 + 0.886696i −0.0206748 + 0.0389969i
\(518\) −2.75376 + 16.7972i −0.120993 + 0.738028i
\(519\) −4.26083 + 3.23900i −0.187030 + 0.142176i
\(520\) 1.01076 0.467627i 0.0443247 0.0205068i
\(521\) 21.5494 + 20.4127i 0.944096 + 0.894295i 0.994532 0.104432i \(-0.0333026\pi\)
−0.0504364 + 0.998727i \(0.516061\pi\)
\(522\) 1.07747 + 6.57230i 0.0471598 + 0.287662i
\(523\) −1.68264 0.566948i −0.0735768 0.0247909i 0.282272 0.959334i \(-0.408912\pi\)
−0.355849 + 0.934543i \(0.615808\pi\)
\(524\) 12.4960 31.3625i 0.545889 1.37008i
\(525\) −3.61293 + 3.42235i −0.157681 + 0.149364i
\(526\) −20.1119 15.2886i −0.876919 0.666616i
\(527\) 34.2985 + 7.54966i 1.49406 + 0.328868i
\(528\) −0.0190877 + 0.0224718i −0.000830685 + 0.000977958i
\(529\) 10.5780 + 1.15042i 0.459912 + 0.0500185i
\(530\) −11.6357 −0.505423
\(531\) 5.44704 5.41569i 0.236381 0.235021i
\(532\) −21.9818 −0.953031
\(533\) 3.00241 + 0.326532i 0.130049 + 0.0141437i
\(534\) −5.45733 + 6.42487i −0.236162 + 0.278031i
\(535\) −17.0803 3.75966i −0.738447 0.162544i
\(536\) −16.5101 12.5506i −0.713128 0.542105i
\(537\) −12.4234 + 11.7681i −0.536109 + 0.507830i
\(538\) −2.35374 + 5.90743i −0.101477 + 0.254687i
\(539\) −0.311231 0.104866i −0.0134057 0.00451690i
\(540\) 0.751627 + 4.58472i 0.0323449 + 0.197295i
\(541\) −18.6991 17.7127i −0.803936 0.761528i 0.170701 0.985323i \(-0.445397\pi\)
−0.974636 + 0.223795i \(0.928156\pi\)
\(542\) 5.52021 2.55392i 0.237113 0.109700i
\(543\) 17.8823 13.5938i 0.767404 0.583366i
\(544\) 4.56951 27.8728i 0.195916 1.19503i
\(545\) 4.01428 7.57174i 0.171953 0.324338i
\(546\) 0.962307 0.211820i 0.0411830 0.00906505i
\(547\) −3.68552 1.70510i −0.157582 0.0729050i 0.339513 0.940601i \(-0.389738\pi\)
−0.497095 + 0.867696i \(0.665600\pi\)
\(548\) −3.14447 7.89203i −0.134325 0.337131i
\(549\) −0.136887 2.52473i −0.00584219 0.107753i
\(550\) −0.299095 0.441132i −0.0127534 0.0188099i
\(551\) −7.56490 8.90609i −0.322275 0.379412i
\(552\) 5.01918 + 9.46717i 0.213630 + 0.402949i
\(553\) −19.1421 + 6.44973i −0.814006 + 0.274270i
\(554\) −0.421986 + 7.78307i −0.0179285 + 0.330671i
\(555\) −5.40850 + 3.25419i −0.229578 + 0.138133i
\(556\) 12.9023 + 46.4698i 0.547178 + 1.97076i
\(557\) 10.7083 38.5679i 0.453727 1.63418i −0.283819 0.958878i \(-0.591601\pi\)
0.737545 0.675297i \(-0.235985\pi\)
\(558\) −12.7799 7.68943i −0.541017 0.325519i
\(559\) −0.249375 + 0.367800i −0.0105474 + 0.0155563i
\(560\) −0.883151 + 0.0960485i −0.0373199 + 0.00405879i
\(561\) 0.409956 0.0445854i 0.0173083 0.00188240i
\(562\) 9.49685 14.0068i 0.400600 0.590841i
\(563\) 33.9764 + 20.4429i 1.43194 + 0.861567i 0.999201 0.0399551i \(-0.0127215\pi\)
0.432734 + 0.901522i \(0.357549\pi\)
\(564\) 11.7459 42.3048i 0.494590 1.78135i
\(565\) −1.39019 5.00700i −0.0584856 0.210646i
\(566\) 17.6635 10.6277i 0.742450 0.446717i
\(567\) −0.0885310 + 1.63286i −0.00371795 + 0.0685736i
\(568\) −14.9529 + 5.03823i −0.627411 + 0.211399i
\(569\) −16.5753 31.2644i −0.694875 1.31067i −0.939998 0.341181i \(-0.889173\pi\)
0.245123 0.969492i \(-0.421172\pi\)
\(570\) −8.45491 9.95388i −0.354137 0.416922i
\(571\) −15.5302 22.9053i −0.649917 0.958556i −0.999763 0.0217491i \(-0.993077\pi\)
0.349846 0.936807i \(-0.386234\pi\)
\(572\) 0.00356585 + 0.0657682i 0.000149096 + 0.00274991i
\(573\) 3.59660 + 9.02679i 0.150250 + 0.377099i
\(574\) −39.5828 18.3129i −1.65215 0.764367i
\(575\) −10.4489 + 2.29997i −0.435747 + 0.0959152i
\(576\) −5.98251 + 11.2842i −0.249271 + 0.470176i
\(577\) 7.76010 47.3345i 0.323057 1.97056i 0.106311 0.994333i \(-0.466096\pi\)
0.216746 0.976228i \(-0.430456\pi\)
\(578\) 22.9618 17.4551i 0.955083 0.726035i
\(579\) −20.8559 + 9.64898i −0.866743 + 0.400998i
\(580\) −9.73811 9.22443i −0.404353 0.383023i
\(581\) 3.27096 + 19.9520i 0.135702 + 0.827748i
\(582\) −37.7960 12.7350i −1.56670 0.527881i
\(583\) 0.101329 0.254318i 0.00419664 0.0105328i
\(584\) −5.71914 + 5.41746i −0.236660 + 0.224176i
\(585\) 0.290887 + 0.221126i 0.0120267 + 0.00914245i
\(586\) −26.8445 5.90893i −1.10894 0.244096i
\(587\) −17.5004 + 20.6031i −0.722321 + 0.850382i −0.993698 0.112091i \(-0.964245\pi\)
0.271377 + 0.962473i \(0.412521\pi\)
\(588\) 14.2834 + 1.55342i 0.589040 + 0.0640619i
\(589\) 26.1687 1.07826
\(590\) −3.41691 + 24.5490i −0.140672 + 1.01067i
\(591\) −5.77302 −0.237470
\(592\) 1.74215 + 0.189470i 0.0716020 + 0.00778719i
\(593\) −8.33378 + 9.81129i −0.342227 + 0.402901i −0.906171 0.422912i \(-0.861008\pi\)
0.563943 + 0.825814i \(0.309284\pi\)
\(594\) −0.171036 0.0376478i −0.00701769 0.00154471i
\(595\) 9.89128 + 7.51916i 0.405503 + 0.308255i
\(596\) −3.94305 + 3.73506i −0.161514 + 0.152994i
\(597\) 5.20937 13.0745i 0.213205 0.535105i
\(598\) 2.00750 + 0.676404i 0.0820926 + 0.0276602i
\(599\) 1.41318 + 8.62000i 0.0577408 + 0.352204i 0.999857 + 0.0169166i \(0.00538498\pi\)
−0.942116 + 0.335287i \(0.891167\pi\)
\(600\) 6.73408 + 6.37886i 0.274918 + 0.260416i
\(601\) 4.70076 2.17480i 0.191748 0.0887121i −0.321666 0.946853i \(-0.604243\pi\)
0.513414 + 0.858141i \(0.328381\pi\)
\(602\) 5.10868 3.88352i 0.208214 0.158280i
\(603\) 1.10081 6.71463i 0.0448283 0.273441i
\(604\) 21.6986 40.9280i 0.882905 1.66534i
\(605\) 15.0196 3.30605i 0.610632 0.134410i
\(606\) 7.36081 + 3.40547i 0.299013 + 0.138338i
\(607\) 4.63584 + 11.6351i 0.188163 + 0.472254i 0.992548 0.121855i \(-0.0388842\pi\)
−0.804385 + 0.594109i \(0.797505\pi\)
\(608\) −1.13942 21.0153i −0.0462094 0.852283i
\(609\) −2.64949 3.90770i −0.107363 0.158348i
\(610\) 5.28189 + 6.21833i 0.213858 + 0.251773i
\(611\) −1.61744 3.05081i −0.0654346 0.123423i
\(612\) −17.0959 + 5.76029i −0.691062 + 0.232846i
\(613\) −2.13791 + 39.4315i −0.0863494 + 1.59262i 0.559285 + 0.828975i \(0.311076\pi\)
−0.645635 + 0.763646i \(0.723407\pi\)
\(614\) 56.2366 33.8364i 2.26952 1.36553i
\(615\) −4.32678 15.5837i −0.174473 0.628394i
\(616\) 0.101231 0.364601i 0.00407871 0.0146902i
\(617\) 18.3017 + 11.0118i 0.736799 + 0.443317i 0.833870 0.551960i \(-0.186120\pi\)
−0.0970716 + 0.995277i \(0.530948\pi\)
\(618\) −7.56888 + 11.1633i −0.304465 + 0.449052i
\(619\) −28.3049 + 3.07834i −1.13767 + 0.123729i −0.657506 0.753450i \(-0.728388\pi\)
−0.480164 + 0.877179i \(0.659423\pi\)
\(620\) 29.8628 3.24777i 1.19932 0.130434i
\(621\) −1.97293 + 2.90985i −0.0791708 + 0.116768i
\(622\) 39.7632 + 23.9247i 1.59436 + 0.959295i
\(623\) 1.59869 5.75796i 0.0640502 0.230688i
\(624\) −0.0271394 0.0977474i −0.00108645 0.00391303i
\(625\) 0.447461 0.269229i 0.0178985 0.0107691i
\(626\) −0.888839 + 16.3937i −0.0355251 + 0.655223i
\(627\) 0.291188 0.0981127i 0.0116289 0.00391824i
\(628\) 30.6782 + 57.8653i 1.22419 + 2.30908i
\(629\) −15.8673 18.6804i −0.632671 0.744838i
\(630\) −2.96120 4.36744i −0.117977 0.174003i
\(631\) 1.08688 + 20.0463i 0.0432680 + 0.798032i 0.936978 + 0.349387i \(0.113610\pi\)
−0.893710 + 0.448644i \(0.851907\pi\)
\(632\) 13.9355 + 34.9755i 0.554325 + 1.39125i
\(633\) −3.11706 1.44211i −0.123892 0.0573186i
\(634\) −22.3712 + 4.92428i −0.888476 + 0.195568i
\(635\) −13.6398 + 25.7274i −0.541278 + 1.02096i
\(636\) −1.93756 + 11.8186i −0.0768293 + 0.468638i
\(637\) 0.899577 0.683841i 0.0356425 0.0270947i
\(638\) 0.458894 0.212307i 0.0181678 0.00840532i
\(639\) −3.75843 3.56017i −0.148681 0.140838i
\(640\) −4.31393 26.3138i −0.170523 1.04014i
\(641\) 31.4926 + 10.6111i 1.24388 + 0.419114i 0.862856 0.505450i \(-0.168673\pi\)
0.381029 + 0.924563i \(0.375570\pi\)
\(642\) −10.6752 + 26.7927i −0.421317 + 1.05743i
\(643\) −18.8603 + 17.8654i −0.743776 + 0.704542i −0.962511 0.271242i \(-0.912566\pi\)
0.218735 + 0.975784i \(0.429807\pi\)
\(644\) −15.2005 11.5551i −0.598985 0.455336i
\(645\) 2.32403 + 0.511559i 0.0915088 + 0.0201426i
\(646\) 32.8307 38.6513i 1.29171 1.52071i
\(647\) 32.5188 + 3.53663i 1.27845 + 0.139039i 0.722029 0.691863i \(-0.243210\pi\)
0.556418 + 0.830903i \(0.312175\pi\)
\(648\) 3.04793 0.119734
\(649\) −0.506803 0.288467i −0.0198937 0.0113233i
\(650\) 1.83376 0.0719259
\(651\) 10.5110 + 1.14314i 0.411958 + 0.0448032i
\(652\) −4.51487 + 5.31532i −0.176816 + 0.208164i
\(653\) −36.3084 7.99208i −1.42086 0.312754i −0.562921 0.826511i \(-0.690322\pi\)
−0.857936 + 0.513757i \(0.828253\pi\)
\(654\) −11.2510 8.55275i −0.439947 0.334439i
\(655\) −10.3229 + 9.77832i −0.403347 + 0.382071i
\(656\) −1.66200 + 4.17130i −0.0648901 + 0.162862i
\(657\) −2.44930 0.825264i −0.0955562 0.0321966i
\(658\) 8.06740 + 49.2089i 0.314500 + 1.91836i
\(659\) 5.49755 + 5.20756i 0.214154 + 0.202858i 0.787256 0.616627i \(-0.211501\pi\)
−0.573101 + 0.819484i \(0.694260\pi\)
\(660\) 0.320116 0.148102i 0.0124605 0.00576485i
\(661\) −29.6098 + 22.5088i −1.15169 + 0.875491i −0.993714 0.111952i \(-0.964290\pi\)
−0.157975 + 0.987443i \(0.550496\pi\)
\(662\) −7.45858 + 45.4953i −0.289886 + 1.76822i
\(663\) −0.664593 + 1.25356i −0.0258107 + 0.0486841i
\(664\) 36.8036 8.10108i 1.42826 0.314383i
\(665\) 8.40244 + 3.88738i 0.325833 + 0.150746i
\(666\) 3.85279 + 9.66976i 0.149292 + 0.374696i
\(667\) −0.549517 10.1352i −0.0212774 0.392438i
\(668\) −41.6686 61.4566i −1.61221 2.37783i
\(669\) −4.50185 5.29999i −0.174052 0.204909i
\(670\) 10.2844 + 19.3985i 0.397322 + 0.749429i
\(671\) −0.181909 + 0.0612923i −0.00702253 + 0.00236616i
\(672\) 0.460360 8.49083i 0.0177588 0.327541i
\(673\) 33.5677 20.1970i 1.29394 0.778538i 0.308938 0.951082i \(-0.400026\pi\)
0.985002 + 0.172544i \(0.0551987\pi\)
\(674\) 11.3709 + 40.9543i 0.437991 + 1.57750i
\(675\) −0.814160 + 2.93234i −0.0313370 + 0.112866i
\(676\) 36.8021 + 22.1431i 1.41546 + 0.851657i
\(677\) −20.4421 + 30.1499i −0.785655 + 1.15875i 0.198266 + 0.980148i \(0.436469\pi\)
−0.983921 + 0.178606i \(0.942841\pi\)
\(678\) −8.51907 + 0.926504i −0.327173 + 0.0355822i
\(679\) 28.1074 3.05687i 1.07866 0.117312i
\(680\) 12.9962 19.1679i 0.498380 0.735056i
\(681\) 20.5561 + 12.3682i 0.787711 + 0.473950i
\(682\) −0.302930 + 1.09106i −0.0115998 + 0.0417787i
\(683\) 4.94408 + 17.8070i 0.189180 + 0.681364i 0.995902 + 0.0904339i \(0.0288254\pi\)
−0.806723 + 0.590930i \(0.798761\pi\)
\(684\) −11.5182 + 6.93029i −0.440410 + 0.264986i
\(685\) −0.193711 + 3.57278i −0.00740130 + 0.136509i
\(686\) −40.4872 + 13.6417i −1.54581 + 0.520843i
\(687\) 7.19590 + 13.5729i 0.274541 + 0.517838i
\(688\) −0.427712 0.503541i −0.0163063 0.0191973i
\(689\) 0.528592 + 0.779615i 0.0201378 + 0.0297010i
\(690\) −0.614167 11.3277i −0.0233810 0.431236i
\(691\) 13.0046 + 32.6391i 0.494718 + 1.24165i 0.938427 + 0.345478i \(0.112283\pi\)
−0.443708 + 0.896171i \(0.646337\pi\)
\(692\) −16.1332 7.46399i −0.613290 0.283738i
\(693\) 0.121245 0.0266881i 0.00460573 0.00101380i
\(694\) −9.06562 + 17.0996i −0.344126 + 0.649091i
\(695\) 3.28614 20.0446i 0.124651 0.760335i
\(696\) −7.00547 + 5.32542i −0.265541 + 0.201859i
\(697\) 56.9966 26.3695i 2.15890 0.998814i
\(698\) 7.70112 + 7.29489i 0.291492 + 0.276116i
\(699\) 4.30609 + 26.2660i 0.162871 + 0.993471i
\(700\) −15.6632 5.27755i −0.592014 0.199473i
\(701\) −17.0654 + 42.8310i −0.644552 + 1.61770i 0.134622 + 0.990897i \(0.457018\pi\)
−0.779174 + 0.626807i \(0.784361\pi\)
\(702\) 0.437458 0.414382i 0.0165108 0.0156398i
\(703\) −14.5391 11.0523i −0.548353 0.416847i
\(704\) 0.946974 + 0.208445i 0.0356904 + 0.00785605i
\(705\) −11.9712 + 14.0936i −0.450863 + 0.530797i
\(706\) −20.7411 2.25573i −0.780602 0.0848955i
\(707\) −5.74937 −0.216227
\(708\) 24.3658 + 7.55847i 0.915725 + 0.284065i
\(709\) 51.4641 1.93277 0.966387 0.257092i \(-0.0827645\pi\)
0.966387 + 0.257092i \(0.0827645\pi\)
\(710\) 16.6071 + 1.80613i 0.623253 + 0.0677828i
\(711\) −7.99684 + 9.41461i −0.299905 + 0.353075i
\(712\) −10.8778 2.39437i −0.407661 0.0897330i
\(713\) 18.0958 + 13.7561i 0.677694 + 0.515170i
\(714\) 14.8753 14.0906i 0.556693 0.527328i
\(715\) 0.0102678 0.0257702i 0.000383994 0.000963751i
\(716\) −53.8595 18.1474i −2.01282 0.678199i
\(717\) −3.45492 21.0741i −0.129026 0.787027i
\(718\) 0.0211610 + 0.0200448i 0.000789721 + 0.000748064i
\(719\) −6.62990 + 3.06732i −0.247253 + 0.114392i −0.539602 0.841920i \(-0.681425\pi\)
0.292349 + 0.956312i \(0.405563\pi\)
\(720\) −0.432481 + 0.328763i −0.0161176 + 0.0122523i
\(721\) 1.54679 9.43501i 0.0576055 0.351378i
\(722\) −2.82982 + 5.33760i −0.105315 + 0.198645i
\(723\) 11.1090 2.44527i 0.413147 0.0909405i
\(724\) 67.7094 + 31.3257i 2.51640 + 1.16421i
\(725\) −3.25216 8.16231i −0.120782 0.303141i
\(726\) −1.37304 25.3242i −0.0509582 0.939870i
\(727\) 18.2356 + 26.8955i 0.676321 + 0.997499i 0.998704 + 0.0508899i \(0.0162058\pi\)
−0.322383 + 0.946609i \(0.604484\pi\)
\(728\) 0.842845 + 0.992274i 0.0312379 + 0.0367761i
\(729\) 0.468408 + 0.883512i 0.0173485 + 0.0327227i
\(730\) 7.90343 2.66298i 0.292519 0.0985612i
\(731\) −0.500262 + 9.22679i −0.0185029 + 0.341265i
\(732\) 7.19559 4.32944i 0.265957 0.160021i
\(733\) 8.04246 + 28.9663i 0.297055 + 1.06990i 0.949939 + 0.312437i \(0.101145\pi\)
−0.652884 + 0.757458i \(0.726441\pi\)
\(734\) −16.6558 + 59.9887i −0.614776 + 2.21422i
\(735\) −5.18507 3.11975i −0.191254 0.115074i
\(736\) 10.2592 15.1312i 0.378158 0.557742i
\(737\) −0.513548 + 0.0558517i −0.0189168 + 0.00205732i
\(738\) −26.5146 + 2.88363i −0.976014 + 0.106148i
\(739\) −12.8473 + 18.9484i −0.472596 + 0.697028i −0.987036 0.160499i \(-0.948690\pi\)
0.514440 + 0.857527i \(0.328000\pi\)
\(740\) −17.9632 10.8081i −0.660340 0.397313i
\(741\) −0.282836 + 1.01868i −0.0103902 + 0.0374223i
\(742\) −3.63900 13.1065i −0.133592 0.481155i
\(743\) 22.0808 13.2856i 0.810067 0.487401i −0.0492853 0.998785i \(-0.515694\pi\)
0.859353 + 0.511383i \(0.170867\pi\)
\(744\) 1.06690 19.6779i 0.0391146 0.721427i
\(745\) 2.16774 0.730398i 0.0794200 0.0267597i
\(746\) −33.2804 62.7734i −1.21848 2.29830i
\(747\) 8.00430 + 9.42339i 0.292862 + 0.344784i
\(748\) 0.768606 + 1.13361i 0.0281030 + 0.0414489i
\(749\) −1.10688 20.4151i −0.0404444 0.745953i
\(750\) −9.60662 24.1108i −0.350784 0.880402i
\(751\) −5.93575 2.74617i −0.216599 0.100209i 0.308590 0.951195i \(-0.400143\pi\)
−0.525188 + 0.850986i \(0.676005\pi\)
\(752\) 5.01386 1.10363i 0.182837 0.0402454i
\(753\) 4.31609 8.14102i 0.157287 0.296675i
\(754\) −0.281450 + 1.71677i −0.0102498 + 0.0625210i
\(755\) −15.5321 + 11.8072i −0.565273 + 0.429709i
\(756\) −4.92918 + 2.28048i −0.179272 + 0.0829403i
\(757\) −18.2678 17.3042i −0.663954 0.628931i 0.279613 0.960113i \(-0.409794\pi\)
−0.943567 + 0.331182i \(0.892553\pi\)
\(758\) −7.58926 46.2925i −0.275654 1.68142i
\(759\) 0.252933 + 0.0852231i 0.00918089 + 0.00309340i
\(760\) 6.38713 16.0305i 0.231685 0.581487i
\(761\) −18.1517 + 17.1942i −0.657999 + 0.623290i −0.942031 0.335525i \(-0.891086\pi\)
0.284032 + 0.958815i \(0.408328\pi\)
\(762\) 38.2286 + 29.0606i 1.38488 + 1.05276i
\(763\) 9.78428 + 2.15368i 0.354215 + 0.0779685i
\(764\) −20.8929 + 24.5970i −0.755877 + 0.889888i
\(765\) 7.55353 + 0.821495i 0.273098 + 0.0297012i
\(766\) 0.437443 0.0158054
\(767\) 1.80005 0.886282i 0.0649962 0.0320018i
\(768\) −18.4289 −0.664996
\(769\) −26.8162 2.91643i −0.967015 0.105169i −0.389038 0.921222i \(-0.627192\pi\)
−0.577978 + 0.816053i \(0.696158\pi\)
\(770\) −0.259344 + 0.305324i −0.00934612 + 0.0110031i
\(771\) −18.4022 4.05064i −0.662741 0.145880i
\(772\) −60.7599 46.1885i −2.18680 1.66236i