Properties

Label 43.2.g.a.31.3
Level $43$
Weight $2$
Character 43.31
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 31.3
Character \(\chi\) \(=\) 43.31
Dual form 43.2.g.a.25.3

$q$-expansion

\(f(q)\) \(=\) \(q+(1.94880 - 0.938491i) q^{2} +(-2.41097 + 1.64377i) q^{3} +(1.67006 - 2.09419i) q^{4} +(-2.00127 - 1.85691i) q^{5} +(-3.15582 + 5.46604i) q^{6} +(1.01083 + 1.75082i) q^{7} +(0.326607 - 1.43096i) q^{8} +(2.01476 - 5.13352i) q^{9} +O(q^{10})\) \(q+(1.94880 - 0.938491i) q^{2} +(-2.41097 + 1.64377i) q^{3} +(1.67006 - 2.09419i) q^{4} +(-2.00127 - 1.85691i) q^{5} +(-3.15582 + 5.46604i) q^{6} +(1.01083 + 1.75082i) q^{7} +(0.326607 - 1.43096i) q^{8} +(2.01476 - 5.13352i) q^{9} +(-5.64276 - 1.74056i) q^{10} +(-0.515533 - 0.646459i) q^{11} +(-0.584097 + 7.79423i) q^{12} +(3.02110 - 0.931885i) q^{13} +(3.61304 + 2.46333i) q^{14} +(7.87733 + 1.18732i) q^{15} +(0.485626 + 2.12767i) q^{16} +(-2.50278 + 2.32224i) q^{17} +(-0.891409 - 11.8950i) q^{18} +(-1.08222 - 2.75745i) q^{19} +(-7.23098 + 1.08990i) q^{20} +(-5.31503 - 2.55958i) q^{21} +(-1.61137 - 0.775993i) q^{22} +(1.21045 - 0.182446i) q^{23} +(1.56473 + 3.98686i) q^{24} +(0.183328 + 2.44634i) q^{25} +(5.01294 - 4.65133i) q^{26} +(1.63286 + 7.15403i) q^{27} +(5.35471 + 0.807093i) q^{28} +(-7.00539 - 4.77619i) q^{29} +(16.4656 - 5.07896i) q^{30} +(-0.399005 + 5.32435i) q^{31} +(4.77345 + 5.98572i) q^{32} +(2.30556 + 0.711172i) q^{33} +(-2.69801 + 6.87441i) q^{34} +(1.22815 - 5.38089i) q^{35} +(-7.38582 - 12.7926i) q^{36} +(-1.73217 + 3.00021i) q^{37} +(-4.69687 - 4.35806i) q^{38} +(-5.75196 + 7.21273i) q^{39} +(-3.31079 + 2.25726i) q^{40} +(6.20561 - 2.98847i) q^{41} -12.7601 q^{42} +(-3.02108 + 5.82006i) q^{43} -2.21478 q^{44} +(-13.5646 + 6.53235i) q^{45} +(2.18770 - 1.49155i) q^{46} +(2.33951 - 2.93365i) q^{47} +(-4.66822 - 4.33148i) q^{48} +(1.45643 - 2.52260i) q^{49} +(2.65314 + 4.59537i) q^{50} +(2.21689 - 9.71283i) q^{51} +(3.09388 - 7.88307i) q^{52} +(8.47611 + 2.61454i) q^{53} +(9.89611 + 12.4093i) q^{54} +(-0.168692 + 2.25104i) q^{55} +(2.83550 - 0.874635i) q^{56} +(7.14181 + 4.86920i) q^{57} +(-18.1345 - 2.73333i) q^{58} +(-0.633519 - 2.77563i) q^{59} +(15.6421 - 14.5138i) q^{60} +(0.573465 + 7.65235i) q^{61} +(4.21927 + 10.7505i) q^{62} +(11.0245 - 1.66167i) q^{63} +(10.9875 + 5.29131i) q^{64} +(-7.77646 - 3.74495i) q^{65} +(5.16050 - 0.777821i) q^{66} +(-3.76698 - 9.59812i) q^{67} +(0.683419 + 9.11959i) q^{68} +(-2.61846 + 2.42957i) q^{69} +(-2.65650 - 11.6389i) q^{70} +(-11.9877 - 1.80685i) q^{71} +(-6.68783 - 4.55969i) q^{72} +(11.9045 - 3.67204i) q^{73} +(-0.559982 + 7.47244i) q^{74} +(-4.46321 - 5.59669i) q^{75} +(-7.58201 - 2.33874i) q^{76} +(0.610712 - 1.55607i) q^{77} +(-4.44032 + 19.4543i) q^{78} +(-2.34287 - 4.05797i) q^{79} +(2.97901 - 5.15980i) q^{80} +(-3.56858 - 3.31116i) q^{81} +(9.28883 - 11.6478i) q^{82} +(-3.94401 + 2.68898i) q^{83} +(-14.2367 + 6.85604i) q^{84} +9.32092 q^{85} +(-0.425398 + 14.1774i) q^{86} +24.7407 q^{87} +(-1.09343 + 0.526570i) q^{88} +(-1.70700 + 1.16382i) q^{89} +(-20.3040 + 25.4605i) q^{90} +(4.68539 + 4.34741i) q^{91} +(1.63945 - 2.83962i) q^{92} +(-7.79001 - 13.4927i) q^{93} +(1.80602 - 7.91270i) q^{94} +(-2.95452 + 7.52799i) q^{95} +(-21.3478 - 6.58491i) q^{96} +(-7.51296 - 9.42095i) q^{97} +(0.470837 - 6.28288i) q^{98} +(-4.35729 + 1.34404i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{17}{21}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.94880 0.938491i 1.37801 0.663613i 0.409434 0.912340i \(-0.365726\pi\)
0.968574 + 0.248726i \(0.0800120\pi\)
\(3\) −2.41097 + 1.64377i −1.39197 + 0.949031i −0.392400 + 0.919795i \(0.628355\pi\)
−0.999573 + 0.0292358i \(0.990693\pi\)
\(4\) 1.67006 2.09419i 0.835032 1.04710i
\(5\) −2.00127 1.85691i −0.894996 0.830435i 0.0912316 0.995830i \(-0.470920\pi\)
−0.986227 + 0.165395i \(0.947110\pi\)
\(6\) −3.15582 + 5.46604i −1.28836 + 2.23150i
\(7\) 1.01083 + 1.75082i 0.382060 + 0.661747i 0.991357 0.131195i \(-0.0418815\pi\)
−0.609297 + 0.792942i \(0.708548\pi\)
\(8\) 0.326607 1.43096i 0.115473 0.505921i
\(9\) 2.01476 5.13352i 0.671587 1.71117i
\(10\) −5.64276 1.74056i −1.78440 0.550414i
\(11\) −0.515533 0.646459i −0.155439 0.194915i 0.698014 0.716084i \(-0.254067\pi\)
−0.853453 + 0.521170i \(0.825496\pi\)
\(12\) −0.584097 + 7.79423i −0.168614 + 2.25000i
\(13\) 3.02110 0.931885i 0.837901 0.258458i 0.154035 0.988065i \(-0.450773\pi\)
0.683867 + 0.729607i \(0.260297\pi\)
\(14\) 3.61304 + 2.46333i 0.965625 + 0.658352i
\(15\) 7.87733 + 1.18732i 2.03392 + 0.306564i
\(16\) 0.485626 + 2.12767i 0.121407 + 0.531917i
\(17\) −2.50278 + 2.32224i −0.607013 + 0.563226i −0.922642 0.385657i \(-0.873975\pi\)
0.315629 + 0.948883i \(0.397784\pi\)
\(18\) −0.891409 11.8950i −0.210107 2.80369i
\(19\) −1.08222 2.75745i −0.248278 0.632603i 0.751349 0.659905i \(-0.229403\pi\)
−0.999627 + 0.0273025i \(0.991308\pi\)
\(20\) −7.23098 + 1.08990i −1.61690 + 0.243708i
\(21\) −5.31503 2.55958i −1.15983 0.558547i
\(22\) −1.61137 0.775993i −0.343544 0.165442i
\(23\) 1.21045 0.182446i 0.252396 0.0380426i −0.0216253 0.999766i \(-0.506884\pi\)
0.274022 + 0.961724i \(0.411646\pi\)
\(24\) 1.56473 + 3.98686i 0.319399 + 0.813815i
\(25\) 0.183328 + 2.44634i 0.0366655 + 0.489268i
\(26\) 5.01294 4.65133i 0.983118 0.912200i
\(27\) 1.63286 + 7.15403i 0.314244 + 1.37679i
\(28\) 5.35471 + 0.807093i 1.01195 + 0.152526i
\(29\) −7.00539 4.77619i −1.30087 0.886916i −0.303052 0.952974i \(-0.598005\pi\)
−0.997816 + 0.0660577i \(0.978958\pi\)
\(30\) 16.4656 5.07896i 3.00619 0.927288i
\(31\) −0.399005 + 5.32435i −0.0716634 + 0.956281i 0.839267 + 0.543720i \(0.182985\pi\)
−0.910930 + 0.412561i \(0.864634\pi\)
\(32\) 4.77345 + 5.98572i 0.843835 + 1.05814i
\(33\) 2.30556 + 0.711172i 0.401347 + 0.123799i
\(34\) −2.69801 + 6.87441i −0.462704 + 1.17895i
\(35\) 1.22815 5.38089i 0.207596 0.909536i
\(36\) −7.38582 12.7926i −1.23097 2.13210i
\(37\) −1.73217 + 3.00021i −0.284768 + 0.493232i −0.972553 0.232682i \(-0.925250\pi\)
0.687785 + 0.725914i \(0.258583\pi\)
\(38\) −4.69687 4.35806i −0.761933 0.706970i
\(39\) −5.75196 + 7.21273i −0.921051 + 1.15496i
\(40\) −3.31079 + 2.25726i −0.523482 + 0.356904i
\(41\) 6.20561 2.98847i 0.969154 0.466720i 0.118793 0.992919i \(-0.462098\pi\)
0.850361 + 0.526199i \(0.176383\pi\)
\(42\) −12.7601 −1.96892
\(43\) −3.02108 + 5.82006i −0.460710 + 0.887551i
\(44\) −2.21478 −0.333891
\(45\) −13.5646 + 6.53235i −2.02209 + 0.973785i
\(46\) 2.18770 1.49155i 0.322558 0.219917i
\(47\) 2.33951 2.93365i 0.341252 0.427917i −0.581359 0.813647i \(-0.697479\pi\)
0.922612 + 0.385730i \(0.126050\pi\)
\(48\) −4.66822 4.33148i −0.673800 0.625195i
\(49\) 1.45643 2.52260i 0.208061 0.360372i
\(50\) 2.65314 + 4.59537i 0.375210 + 0.649883i
\(51\) 2.21689 9.71283i 0.310427 1.36007i
\(52\) 3.09388 7.88307i 0.429044 1.09319i
\(53\) 8.47611 + 2.61454i 1.16428 + 0.359134i 0.815886 0.578213i \(-0.196250\pi\)
0.348398 + 0.937347i \(0.386726\pi\)
\(54\) 9.89611 + 12.4093i 1.34669 + 1.68870i
\(55\) −0.168692 + 2.25104i −0.0227464 + 0.303530i
\(56\) 2.83550 0.874635i 0.378909 0.116878i
\(57\) 7.14181 + 4.86920i 0.945956 + 0.644942i
\(58\) −18.1345 2.73333i −2.38117 0.358904i
\(59\) −0.633519 2.77563i −0.0824772 0.361356i 0.916801 0.399344i \(-0.130762\pi\)
−0.999278 + 0.0379881i \(0.987905\pi\)
\(60\) 15.6421 14.5138i 2.01939 1.87372i
\(61\) 0.573465 + 7.65235i 0.0734246 + 0.979783i 0.905287 + 0.424801i \(0.139656\pi\)
−0.831862 + 0.554982i \(0.812725\pi\)
\(62\) 4.21927 + 10.7505i 0.535848 + 1.36532i
\(63\) 11.0245 1.66167i 1.38895 0.209351i
\(64\) 10.9875 + 5.29131i 1.37344 + 0.661413i
\(65\) −7.77646 3.74495i −0.964551 0.464503i
\(66\) 5.16050 0.777821i 0.635214 0.0957431i
\(67\) −3.76698 9.59812i −0.460210 1.17260i −0.953141 0.302528i \(-0.902169\pi\)
0.492930 0.870069i \(-0.335926\pi\)
\(68\) 0.683419 + 9.11959i 0.0828767 + 1.10591i
\(69\) −2.61846 + 2.42957i −0.315225 + 0.292486i
\(70\) −2.65650 11.6389i −0.317512 1.39111i
\(71\) −11.9877 1.80685i −1.42268 0.214434i −0.607811 0.794082i \(-0.707952\pi\)
−0.814867 + 0.579648i \(0.803190\pi\)
\(72\) −6.68783 4.55969i −0.788169 0.537364i
\(73\) 11.9045 3.67204i 1.39331 0.429779i 0.494906 0.868947i \(-0.335203\pi\)
0.898405 + 0.439167i \(0.144726\pi\)
\(74\) −0.559982 + 7.47244i −0.0650966 + 0.868654i
\(75\) −4.46321 5.59669i −0.515367 0.646250i
\(76\) −7.58201 2.33874i −0.869717 0.268272i
\(77\) 0.610712 1.55607i 0.0695971 0.177330i
\(78\) −4.44032 + 19.4543i −0.502767 + 2.20277i
\(79\) −2.34287 4.05797i −0.263593 0.456557i 0.703601 0.710596i \(-0.251574\pi\)
−0.967194 + 0.254038i \(0.918241\pi\)
\(80\) 2.97901 5.15980i 0.333064 0.576884i
\(81\) −3.56858 3.31116i −0.396509 0.367907i
\(82\) 9.28883 11.6478i 1.02578 1.28629i
\(83\) −3.94401 + 2.68898i −0.432912 + 0.295154i −0.760101 0.649805i \(-0.774851\pi\)
0.327190 + 0.944959i \(0.393898\pi\)
\(84\) −14.2367 + 6.85604i −1.55335 + 0.748055i
\(85\) 9.32092 1.01100
\(86\) −0.425398 + 14.1774i −0.0458719 + 1.52878i
\(87\) 24.7407 2.65248
\(88\) −1.09343 + 0.526570i −0.116560 + 0.0561325i
\(89\) −1.70700 + 1.16382i −0.180942 + 0.123364i −0.650404 0.759589i \(-0.725400\pi\)
0.469462 + 0.882953i \(0.344448\pi\)
\(90\) −20.3040 + 25.4605i −2.14023 + 2.68377i
\(91\) 4.68539 + 4.34741i 0.491162 + 0.455732i
\(92\) 1.63945 2.83962i 0.170925 0.296050i
\(93\) −7.79001 13.4927i −0.807787 1.39913i
\(94\) 1.80602 7.91270i 0.186277 0.816132i
\(95\) −2.95452 + 7.52799i −0.303127 + 0.772355i
\(96\) −21.3478 6.58491i −2.17880 0.672070i
\(97\) −7.51296 9.42095i −0.762825 0.956552i 0.237063 0.971494i \(-0.423815\pi\)
−0.999888 + 0.0149418i \(0.995244\pi\)
\(98\) 0.470837 6.28288i 0.0475617 0.634667i
\(99\) −4.35729 + 1.34404i −0.437924 + 0.135082i
\(100\) 5.42928 + 3.70162i 0.542928 + 0.370162i
\(101\) −2.52020 0.379859i −0.250769 0.0377974i 0.0224547 0.999748i \(-0.492852\pi\)
−0.273224 + 0.961951i \(0.588090\pi\)
\(102\) −4.79514 21.0089i −0.474789 2.08019i
\(103\) −5.76522 + 5.34934i −0.568064 + 0.527086i −0.911073 0.412246i \(-0.864744\pi\)
0.343009 + 0.939332i \(0.388554\pi\)
\(104\) −0.346778 4.62743i −0.0340044 0.453757i
\(105\) 5.88391 + 14.9919i 0.574210 + 1.46306i
\(106\) 18.9719 2.85956i 1.84272 0.277745i
\(107\) 7.55616 + 3.63886i 0.730482 + 0.351782i 0.761874 0.647726i \(-0.224280\pi\)
−0.0313918 + 0.999507i \(0.509994\pi\)
\(108\) 17.7089 + 8.52816i 1.70404 + 0.820623i
\(109\) 5.60910 0.845435i 0.537254 0.0809780i 0.125190 0.992133i \(-0.460046\pi\)
0.412064 + 0.911155i \(0.364808\pi\)
\(110\) 1.78383 + 4.54513i 0.170082 + 0.433361i
\(111\) −0.755445 10.0807i −0.0717037 0.956819i
\(112\) −3.23427 + 3.00096i −0.305610 + 0.283564i
\(113\) 3.99341 + 17.4963i 0.375669 + 1.64591i 0.710546 + 0.703651i \(0.248448\pi\)
−0.334877 + 0.942262i \(0.608695\pi\)
\(114\) 18.4876 + 2.78656i 1.73153 + 0.260986i
\(115\) −2.76123 1.88257i −0.257486 0.175551i
\(116\) −21.7017 + 6.69409i −2.01495 + 0.621531i
\(117\) 1.30293 17.3864i 0.120456 1.60737i
\(118\) −3.83951 4.81459i −0.353455 0.443219i
\(119\) −6.59571 2.03451i −0.604628 0.186503i
\(120\) 4.27180 10.8844i 0.389960 0.993601i
\(121\) 2.29560 10.0577i 0.208691 0.914333i
\(122\) 8.29923 + 14.3747i 0.751377 + 1.30142i
\(123\) −10.0492 + 17.4057i −0.906104 + 1.56942i
\(124\) 10.4839 + 9.72760i 0.941478 + 0.873564i
\(125\) −4.33507 + 5.43600i −0.387740 + 0.486211i
\(126\) 19.9250 13.5846i 1.77506 1.21021i
\(127\) −17.6508 + 8.50017i −1.56625 + 0.754268i −0.997661 0.0683509i \(-0.978226\pi\)
−0.568593 + 0.822619i \(0.692512\pi\)
\(128\) 11.0662 0.978126
\(129\) −2.28311 18.9979i −0.201017 1.67267i
\(130\) −18.6693 −1.63741
\(131\) 10.9256 5.26150i 0.954576 0.459700i 0.109288 0.994010i \(-0.465143\pi\)
0.845288 + 0.534310i \(0.179429\pi\)
\(132\) 5.33977 3.64059i 0.464767 0.316873i
\(133\) 3.73385 4.68210i 0.323766 0.405989i
\(134\) −16.3488 15.1695i −1.41232 1.31045i
\(135\) 10.0166 17.3492i 0.862090 1.49318i
\(136\) 2.50561 + 4.33984i 0.214854 + 0.372138i
\(137\) −1.32721 + 5.81487i −0.113391 + 0.496798i 0.886057 + 0.463576i \(0.153434\pi\)
−0.999448 + 0.0332220i \(0.989423\pi\)
\(138\) −2.82271 + 7.19214i −0.240285 + 0.612236i
\(139\) 2.97091 + 0.916404i 0.251989 + 0.0777284i 0.418176 0.908366i \(-0.362669\pi\)
−0.166187 + 0.986094i \(0.553146\pi\)
\(140\) −9.21754 11.5584i −0.779024 0.976865i
\(141\) −0.818232 + 10.9185i −0.0689075 + 0.919507i
\(142\) −25.0573 + 7.72916i −2.10276 + 0.648616i
\(143\) −2.15990 1.47260i −0.180620 0.123145i
\(144\) 11.9009 + 1.79376i 0.991738 + 0.149480i
\(145\) 5.15073 + 22.5668i 0.427745 + 1.87407i
\(146\) 19.7532 18.3283i 1.63479 1.51686i
\(147\) 0.635184 + 8.47594i 0.0523891 + 0.699084i
\(148\) 3.39019 + 8.63806i 0.278672 + 0.710045i
\(149\) 1.59287 0.240086i 0.130493 0.0196686i −0.0834711 0.996510i \(-0.526601\pi\)
0.213964 + 0.976842i \(0.431363\pi\)
\(150\) −13.9503 6.71813i −1.13904 0.548533i
\(151\) 3.99279 + 1.92283i 0.324929 + 0.156477i 0.589236 0.807961i \(-0.299429\pi\)
−0.264307 + 0.964439i \(0.585143\pi\)
\(152\) −4.29926 + 0.648010i −0.348716 + 0.0525605i
\(153\) 6.87877 + 17.5268i 0.556116 + 1.41696i
\(154\) −0.270203 3.60561i −0.0217736 0.290548i
\(155\) 10.6853 9.91455i 0.858267 0.796356i
\(156\) 5.49872 + 24.0914i 0.440250 + 1.92886i
\(157\) −3.60721 0.543700i −0.287887 0.0433920i 0.00351117 0.999994i \(-0.498882\pi\)
−0.291398 + 0.956602i \(0.594120\pi\)
\(158\) −8.37415 5.70940i −0.666211 0.454215i
\(159\) −24.7333 + 7.62922i −1.96148 + 0.605036i
\(160\) 1.56196 20.8429i 0.123484 1.64778i
\(161\) 1.54300 + 1.93485i 0.121605 + 0.152488i
\(162\) −10.0619 3.10370i −0.790540 0.243849i
\(163\) 2.81502 7.17257i 0.220490 0.561799i −0.777236 0.629210i \(-0.783379\pi\)
0.997725 + 0.0674110i \(0.0214739\pi\)
\(164\) 4.10535 17.9867i 0.320574 1.40452i
\(165\) −3.29348 5.70447i −0.256397 0.444092i
\(166\) −5.16249 + 8.94170i −0.400687 + 0.694011i
\(167\) 3.60763 + 3.34739i 0.279167 + 0.259029i 0.807312 0.590125i \(-0.200922\pi\)
−0.528145 + 0.849154i \(0.677112\pi\)
\(168\) −5.39859 + 6.76962i −0.416510 + 0.522287i
\(169\) −2.48249 + 1.69253i −0.190961 + 0.130195i
\(170\) 18.1646 8.74761i 1.39316 0.670911i
\(171\) −16.3359 −1.24923
\(172\) 7.14294 + 16.0466i 0.544644 + 1.22354i
\(173\) −21.5624 −1.63936 −0.819680 0.572821i \(-0.805849\pi\)
−0.819680 + 0.572821i \(0.805849\pi\)
\(174\) 48.2146 23.2189i 3.65514 1.76022i
\(175\) −4.09778 + 2.79382i −0.309763 + 0.211193i
\(176\) 1.12509 1.41082i 0.0848070 0.106345i
\(177\) 6.08989 + 5.65059i 0.457744 + 0.424725i
\(178\) −2.23437 + 3.87005i −0.167473 + 0.290072i
\(179\) 8.40248 + 14.5535i 0.628031 + 1.08778i 0.987946 + 0.154797i \(0.0494723\pi\)
−0.359915 + 0.932985i \(0.617194\pi\)
\(180\) −8.97369 + 39.3163i −0.668859 + 2.93046i
\(181\) 0.294349 0.749988i 0.0218788 0.0557462i −0.919517 0.393050i \(-0.871420\pi\)
0.941396 + 0.337304i \(0.109515\pi\)
\(182\) 13.2109 + 4.07502i 0.979255 + 0.302060i
\(183\) −13.9613 17.5069i −1.03205 1.29415i
\(184\) 0.134269 1.79169i 0.00989844 0.132085i
\(185\) 9.03768 2.78775i 0.664463 0.204960i
\(186\) −27.8439 18.9837i −2.04162 1.39195i
\(187\) 2.79150 + 0.420750i 0.204134 + 0.0307683i
\(188\) −2.23651 9.79877i −0.163114 0.714649i
\(189\) −10.8748 + 10.0904i −0.791029 + 0.733968i
\(190\) 1.30720 + 17.4433i 0.0948339 + 1.26547i
\(191\) −4.22806 10.7729i −0.305931 0.779500i −0.998318 0.0579738i \(-0.981536\pi\)
0.692387 0.721527i \(-0.256559\pi\)
\(192\) −35.1882 + 5.30377i −2.53949 + 0.382766i
\(193\) 5.28929 + 2.54719i 0.380732 + 0.183351i 0.614454 0.788953i \(-0.289376\pi\)
−0.233722 + 0.972303i \(0.575091\pi\)
\(194\) −23.4827 11.3087i −1.68596 0.811915i
\(195\) 24.9046 3.75377i 1.78346 0.268813i
\(196\) −2.85050 7.26295i −0.203607 0.518782i
\(197\) 0.412103 + 5.49913i 0.0293611 + 0.391797i 0.992453 + 0.122624i \(0.0391310\pi\)
−0.963092 + 0.269172i \(0.913250\pi\)
\(198\) −7.23009 + 6.70855i −0.513820 + 0.476756i
\(199\) −4.37361 19.1620i −0.310037 1.35836i −0.854446 0.519540i \(-0.826103\pi\)
0.544409 0.838820i \(-0.316754\pi\)
\(200\) 3.56049 + 0.536657i 0.251765 + 0.0379474i
\(201\) 24.8592 + 16.9487i 1.75343 + 1.19547i
\(202\) −5.26785 + 1.62492i −0.370645 + 0.114329i
\(203\) 1.28095 17.0931i 0.0899051 1.19970i
\(204\) −16.6382 20.8637i −1.16491 1.46075i
\(205\) −17.9684 5.54252i −1.25497 0.387107i
\(206\) −6.21493 + 15.8354i −0.433015 + 1.10330i
\(207\) 1.50218 6.58146i 0.104408 0.457443i
\(208\) 3.44986 + 5.97534i 0.239205 + 0.414315i
\(209\) −1.22466 + 2.12117i −0.0847113 + 0.146724i
\(210\) 25.5363 + 23.6943i 1.76218 + 1.63506i
\(211\) 10.8591 13.6169i 0.747574 0.937428i −0.251966 0.967736i \(-0.581077\pi\)
0.999541 + 0.0303076i \(0.00964869\pi\)
\(212\) 19.6310 13.3842i 1.34826 0.919230i
\(213\) 31.8720 15.3487i 2.18383 1.05168i
\(214\) 18.1405 1.24006
\(215\) 16.8533 6.03765i 1.14939 0.411764i
\(216\) 10.7704 0.732835
\(217\) −9.72529 + 4.68345i −0.660196 + 0.317933i
\(218\) 10.1376 6.91167i 0.686602 0.468117i
\(219\) −22.6653 + 28.4213i −1.53158 + 1.92054i
\(220\) 4.43238 + 4.11265i 0.298831 + 0.277275i
\(221\) −5.39708 + 9.34801i −0.363047 + 0.628815i
\(222\) −10.9329 18.9363i −0.733766 1.27092i
\(223\) 3.36182 14.7291i 0.225124 0.986333i −0.728432 0.685118i \(-0.759751\pi\)
0.953556 0.301215i \(-0.0973922\pi\)
\(224\) −5.65473 + 14.4080i −0.377822 + 0.962676i
\(225\) 12.9277 + 3.98767i 0.861847 + 0.265844i
\(226\) 24.2025 + 30.3489i 1.60992 + 2.01878i
\(227\) −0.937088 + 12.5046i −0.0621967 + 0.829957i 0.875659 + 0.482931i \(0.160428\pi\)
−0.937855 + 0.347027i \(0.887191\pi\)
\(228\) 22.1243 6.82445i 1.46522 0.451961i
\(229\) 16.8194 + 11.4673i 1.11146 + 0.757778i 0.972589 0.232533i \(-0.0747012\pi\)
0.138868 + 0.990311i \(0.455654\pi\)
\(230\) −7.14785 1.07736i −0.471315 0.0710393i
\(231\) 1.08541 + 4.75550i 0.0714148 + 0.312889i
\(232\) −9.12255 + 8.46449i −0.598925 + 0.555721i
\(233\) −2.20664 29.4455i −0.144562 1.92904i −0.325491 0.945545i \(-0.605530\pi\)
0.180930 0.983496i \(-0.442089\pi\)
\(234\) −13.7778 35.1053i −0.900685 2.29491i
\(235\) −10.1295 + 1.52678i −0.660776 + 0.0995960i
\(236\) −6.87073 3.30877i −0.447246 0.215382i
\(237\) 12.3189 + 5.93249i 0.800202 + 0.385357i
\(238\) −14.7631 + 2.22518i −0.956948 + 0.144237i
\(239\) −8.80723 22.4405i −0.569692 1.45155i −0.867748 0.497004i \(-0.834433\pi\)
0.298056 0.954548i \(-0.403662\pi\)
\(240\) 1.29922 + 17.3369i 0.0838645 + 1.11909i
\(241\) 4.34963 4.03587i 0.280184 0.259973i −0.527544 0.849528i \(-0.676887\pi\)
0.807729 + 0.589554i \(0.200697\pi\)
\(242\) −4.96538 21.7547i −0.319187 1.39845i
\(243\) −7.72164 1.16385i −0.495343 0.0746610i
\(244\) 16.9832 + 11.5790i 1.08724 + 0.741268i
\(245\) −7.59894 + 2.34396i −0.485479 + 0.149750i
\(246\) −3.24872 + 43.3512i −0.207131 + 2.76397i
\(247\) −5.83912 7.32202i −0.371534 0.465889i
\(248\) 7.48861 + 2.30993i 0.475527 + 0.146681i
\(249\) 5.08882 12.9661i 0.322491 0.821693i
\(250\) −3.34653 + 14.6621i −0.211653 + 0.927312i
\(251\) 7.19242 + 12.4576i 0.453982 + 0.786319i 0.998629 0.0523460i \(-0.0166699\pi\)
−0.544647 + 0.838665i \(0.683337\pi\)
\(252\) 14.9317 25.8624i 0.940608 1.62918i
\(253\) −0.741972 0.688449i −0.0466473 0.0432824i
\(254\) −26.4205 + 33.1302i −1.65777 + 2.07877i
\(255\) −22.4724 + 15.3214i −1.40728 + 0.959466i
\(256\) −0.409185 + 0.197053i −0.0255740 + 0.0123158i
\(257\) −18.1706 −1.13345 −0.566724 0.823908i \(-0.691789\pi\)
−0.566724 + 0.823908i \(0.691789\pi\)
\(258\) −22.2787 34.8804i −1.38701 2.17156i
\(259\) −7.00377 −0.435193
\(260\) −20.8298 + 10.0311i −1.29181 + 0.622104i
\(261\) −38.6329 + 26.3394i −2.39131 + 1.63037i
\(262\) 16.3540 20.5072i 1.01035 1.26694i
\(263\) 11.6213 + 10.7830i 0.716598 + 0.664906i 0.951688 0.307068i \(-0.0993478\pi\)
−0.235089 + 0.971974i \(0.575538\pi\)
\(264\) 1.77067 3.06689i 0.108977 0.188754i
\(265\) −12.1081 20.9718i −0.743792 1.28829i
\(266\) 2.88240 12.6286i 0.176732 0.774311i
\(267\) 2.20249 5.61184i 0.134790 0.343439i
\(268\) −26.3914 8.14068i −1.61211 0.497271i
\(269\) 6.59147 + 8.26544i 0.401889 + 0.503953i 0.941058 0.338245i \(-0.109833\pi\)
−0.539169 + 0.842197i \(0.681262\pi\)
\(270\) 3.23819 43.2106i 0.197070 2.62971i
\(271\) −1.69682 + 0.523401i −0.103075 + 0.0317943i −0.345864 0.938285i \(-0.612414\pi\)
0.242789 + 0.970079i \(0.421938\pi\)
\(272\) −6.15637 4.19734i −0.373284 0.254501i
\(273\) −18.4425 2.77975i −1.11619 0.168238i
\(274\) 2.87075 + 12.5776i 0.173428 + 0.759839i
\(275\) 1.48694 1.37968i 0.0896661 0.0831980i
\(276\) 0.715007 + 9.54110i 0.0430383 + 0.574307i
\(277\) 0.682551 + 1.73911i 0.0410105 + 0.104493i 0.949912 0.312519i \(-0.101173\pi\)
−0.908901 + 0.417012i \(0.863077\pi\)
\(278\) 6.64974 1.00229i 0.398825 0.0601132i
\(279\) 26.5288 + 12.7756i 1.58824 + 0.764854i
\(280\) −7.29872 3.51488i −0.436182 0.210054i
\(281\) 5.38800 0.812110i 0.321421 0.0484464i 0.0136498 0.999907i \(-0.495655\pi\)
0.307771 + 0.951460i \(0.400417\pi\)
\(282\) 8.65239 + 22.0459i 0.515242 + 1.31282i
\(283\) 0.707816 + 9.44514i 0.0420753 + 0.561456i 0.977911 + 0.209020i \(0.0670274\pi\)
−0.935836 + 0.352436i \(0.885354\pi\)
\(284\) −23.8041 + 22.0870i −1.41252 + 1.31062i
\(285\) −5.25103 23.0063i −0.311044 1.36277i
\(286\) −5.59123 0.842742i −0.330616 0.0498324i
\(287\) 11.5051 + 7.84405i 0.679125 + 0.463020i
\(288\) 40.3452 12.4448i 2.37736 0.733319i
\(289\) −0.399306 + 5.32837i −0.0234886 + 0.313433i
\(290\) 31.2165 + 39.1442i 1.83310 + 2.29863i
\(291\) 33.5994 + 10.3640i 1.96963 + 0.607550i
\(292\) 12.1912 31.0628i 0.713439 1.81781i
\(293\) −2.12778 + 9.32241i −0.124306 + 0.544621i 0.873973 + 0.485975i \(0.161535\pi\)
−0.998279 + 0.0586458i \(0.981322\pi\)
\(294\) 9.19244 + 15.9218i 0.536114 + 0.928576i
\(295\) −3.88625 + 6.73118i −0.226266 + 0.391904i
\(296\) 3.72745 + 3.45857i 0.216653 + 0.201025i
\(297\) 3.78299 4.74372i 0.219511 0.275258i
\(298\) 2.87886 1.96277i 0.166768 0.113700i
\(299\) 3.48687 1.67919i 0.201651 0.0971099i
\(300\) −19.1744 −1.10704
\(301\) −13.2437 + 0.593759i −0.763353 + 0.0342237i
\(302\) 9.58569 0.551594
\(303\) 6.70051 3.22680i 0.384934 0.185375i
\(304\) 5.34138 3.64169i 0.306349 0.208865i
\(305\) 13.0621 16.3793i 0.747931 0.937876i
\(306\) 29.8541 + 27.7006i 1.70665 + 1.58354i
\(307\) 8.96235 15.5232i 0.511508 0.885959i −0.488403 0.872618i \(-0.662420\pi\)
0.999911 0.0133402i \(-0.00424644\pi\)
\(308\) −2.23878 3.87768i −0.127566 0.220952i
\(309\) 5.10667 22.3738i 0.290508 1.27280i
\(310\) 11.5188 29.3495i 0.654227 1.66694i
\(311\) 11.9150 + 3.67529i 0.675638 + 0.208407i 0.613540 0.789663i \(-0.289745\pi\)
0.0620976 + 0.998070i \(0.480221\pi\)
\(312\) 8.44250 + 10.5866i 0.477962 + 0.599346i
\(313\) 1.95694 26.1136i 0.110613 1.47603i −0.615328 0.788271i \(-0.710976\pi\)
0.725941 0.687757i \(-0.241405\pi\)
\(314\) −7.53999 + 2.32578i −0.425506 + 0.131251i
\(315\) −25.1485 17.1460i −1.41696 0.966065i
\(316\) −12.4109 1.87065i −0.698169 0.105232i
\(317\) −2.01390 8.82346i −0.113112 0.495575i −0.999469 0.0325735i \(-0.989630\pi\)
0.886358 0.463001i \(-0.153227\pi\)
\(318\) −41.0403 + 38.0798i −2.30142 + 2.13541i
\(319\) 0.523901 + 6.99098i 0.0293328 + 0.391420i
\(320\) −12.1635 30.9921i −0.679961 1.73251i
\(321\) −24.1991 + 3.64743i −1.35066 + 0.203580i
\(322\) 4.82283 + 2.32255i 0.268766 + 0.129431i
\(323\) 9.11201 + 4.38811i 0.507006 + 0.244161i
\(324\) −12.8940 + 1.94345i −0.716332 + 0.107970i
\(325\) 2.83356 + 7.21978i 0.157177 + 0.400482i
\(326\) −1.24548 16.6198i −0.0689807 0.920483i
\(327\) −12.1336 + 11.2584i −0.670992 + 0.622590i
\(328\) −2.24958 9.85604i −0.124212 0.544209i
\(329\) 7.50114 + 1.13062i 0.413551 + 0.0623328i
\(330\) −11.7719 8.02595i −0.648022 0.441814i
\(331\) −3.33977 + 1.03018i −0.183571 + 0.0566240i −0.385178 0.922842i \(-0.625860\pi\)
0.201607 + 0.979466i \(0.435384\pi\)
\(332\) −0.955503 + 12.7503i −0.0524400 + 0.699764i
\(333\) 11.9118 + 14.9369i 0.652760 + 0.818536i
\(334\) 10.1720 + 3.13766i 0.556589 + 0.171685i
\(335\) −10.2841 + 26.2034i −0.561879 + 1.43164i
\(336\) 2.86482 12.5516i 0.156289 0.684747i
\(337\) −2.60035 4.50393i −0.141650 0.245345i 0.786468 0.617631i \(-0.211907\pi\)
−0.928118 + 0.372286i \(0.878574\pi\)
\(338\) −3.24944 + 5.62820i −0.176746 + 0.306134i
\(339\) −38.3879 35.6187i −2.08494 1.93454i
\(340\) 15.5665 19.5198i 0.844214 1.05861i
\(341\) 3.64767 2.48694i 0.197532 0.134675i
\(342\) −31.8353 + 15.3311i −1.72145 + 0.829008i
\(343\) 20.0405 1.08209
\(344\) 7.34156 + 6.22392i 0.395831 + 0.335571i
\(345\) 9.75174 0.525016
\(346\) −42.0208 + 20.2361i −2.25905 + 1.08790i
\(347\) 6.33995 4.32251i 0.340346 0.232044i −0.381069 0.924546i \(-0.624444\pi\)
0.721416 + 0.692502i \(0.243492\pi\)
\(348\) 41.3186 51.8119i 2.21491 2.77741i
\(349\) 19.3740 + 17.9765i 1.03707 + 0.962257i 0.999314 0.0370298i \(-0.0117896\pi\)
0.0377526 + 0.999287i \(0.487980\pi\)
\(350\) −5.36376 + 9.29031i −0.286705 + 0.496588i
\(351\) 11.5998 + 20.0914i 0.619150 + 1.07240i
\(352\) 1.40864 6.17168i 0.0750810 0.328951i
\(353\) −3.64148 + 9.27834i −0.193817 + 0.493836i −0.994437 0.105336i \(-0.966408\pi\)
0.800620 + 0.599172i \(0.204504\pi\)
\(354\) 17.1710 + 5.29655i 0.912628 + 0.281508i
\(355\) 20.6355 + 25.8761i 1.09522 + 1.37336i
\(356\) −0.413550 + 5.51845i −0.0219181 + 0.292477i
\(357\) 19.2463 5.93670i 1.01862 0.314203i
\(358\) 30.0331 + 20.4762i 1.58730 + 1.08220i
\(359\) 1.39816 + 0.210739i 0.0737921 + 0.0111224i 0.185835 0.982581i \(-0.440501\pi\)
−0.112042 + 0.993703i \(0.535739\pi\)
\(360\) 4.91725 + 21.5439i 0.259162 + 1.13546i
\(361\) 7.49565 6.95495i 0.394508 0.366050i
\(362\) −0.130232 1.73782i −0.00684482 0.0913377i
\(363\) 10.9979 + 28.0221i 0.577239 + 1.47078i
\(364\) 16.9292 2.55167i 0.887332 0.133744i
\(365\) −30.6427 14.7567i −1.60391 0.772403i
\(366\) −43.6378 21.0149i −2.28099 1.09847i
\(367\) −28.0262 + 4.22427i −1.46295 + 0.220505i −0.831767 0.555125i \(-0.812670\pi\)
−0.631188 + 0.775630i \(0.717432\pi\)
\(368\) 0.976011 + 2.48683i 0.0508781 + 0.129635i
\(369\) −2.83854 37.8777i −0.147769 1.97183i
\(370\) 14.9963 13.9145i 0.779621 0.723383i
\(371\) 3.99038 + 17.4830i 0.207170 + 0.907672i
\(372\) −41.2662 6.21987i −2.13955 0.322485i
\(373\) −19.4695 13.2741i −1.00809 0.687304i −0.0576903 0.998335i \(-0.518374\pi\)
−0.950400 + 0.311030i \(0.899326\pi\)
\(374\) 5.83493 1.79984i 0.301717 0.0930674i
\(375\) 1.51617 20.2319i 0.0782946 1.04477i
\(376\) −3.43384 4.30589i −0.177087 0.222060i
\(377\) −25.6148 7.90112i −1.31923 0.406928i
\(378\) −11.7231 + 29.8701i −0.602973 + 1.53635i
\(379\) 0.506526 2.21924i 0.0260185 0.113995i −0.960251 0.279138i \(-0.909951\pi\)
0.986270 + 0.165143i \(0.0528086\pi\)
\(380\) 10.8308 + 18.7596i 0.555610 + 0.962345i
\(381\) 28.5831 49.5075i 1.46436 2.53634i
\(382\) −18.3499 17.0262i −0.938863 0.871137i
\(383\) −12.2178 + 15.3206i −0.624299 + 0.782846i −0.988942 0.148301i \(-0.952620\pi\)
0.364643 + 0.931147i \(0.381191\pi\)
\(384\) −26.6803 + 18.1903i −1.36152 + 0.928271i
\(385\) −4.11168 + 1.98008i −0.209550 + 0.100914i
\(386\) 12.6983 0.646325
\(387\) 23.7907 + 27.2348i 1.20935 + 1.38442i
\(388\) −32.2764 −1.63859
\(389\) −0.649494 + 0.312780i −0.0329306 + 0.0158586i −0.450277 0.892889i \(-0.648675\pi\)
0.417346 + 0.908748i \(0.362960\pi\)
\(390\) 45.0112 30.6881i 2.27923 1.55395i
\(391\) −2.60581 + 3.26758i −0.131781 + 0.165248i
\(392\) −3.13406 2.90799i −0.158294 0.146876i
\(393\) −17.6926 + 30.6445i −0.892475 + 1.54581i
\(394\) 5.96399 + 10.3299i 0.300461 + 0.520414i
\(395\) −2.84656 + 12.4716i −0.143226 + 0.627514i
\(396\) −4.46226 + 11.3696i −0.224237 + 0.571346i
\(397\) −8.02091 2.47412i −0.402558 0.124173i 0.0868631 0.996220i \(-0.472316\pi\)
−0.489421 + 0.872048i \(0.662792\pi\)
\(398\) −26.5067 33.2383i −1.32866 1.66609i
\(399\) −1.30590 + 17.4260i −0.0653765 + 0.872389i
\(400\) −5.11596 + 1.57807i −0.255798 + 0.0789033i
\(401\) 23.6148 + 16.1003i 1.17927 + 0.804011i 0.984249 0.176789i \(-0.0565709\pi\)
0.195019 + 0.980800i \(0.437523\pi\)
\(402\) 64.3517 + 9.69945i 3.20957 + 0.483765i
\(403\) 3.75625 + 16.4572i 0.187112 + 0.819791i
\(404\) −5.00439 + 4.64340i −0.248978 + 0.231018i
\(405\) 0.993180 + 13.2531i 0.0493515 + 0.658550i
\(406\) −13.5454 34.5131i −0.672247 1.71286i
\(407\) 2.83251 0.426932i 0.140402 0.0211622i
\(408\) −13.1746 6.34456i −0.652241 0.314103i
\(409\) 9.56120 + 4.60443i 0.472771 + 0.227674i 0.655069 0.755569i \(-0.272639\pi\)
−0.182299 + 0.983243i \(0.558354\pi\)
\(410\) −40.2184 + 6.06195i −1.98625 + 0.299378i
\(411\) −6.35846 16.2011i −0.313640 0.799141i
\(412\) 1.57427 + 21.0072i 0.0775589 + 1.03495i
\(413\) 4.21924 3.91488i 0.207615 0.192639i
\(414\) −3.24921 14.2357i −0.159690 0.699647i
\(415\) 12.8862 + 1.94229i 0.632560 + 0.0953431i
\(416\) 19.9991 + 13.6351i 0.980534 + 0.668517i
\(417\) −8.66912 + 2.67407i −0.424529 + 0.130950i
\(418\) −0.395910 + 5.28306i −0.0193646 + 0.258403i
\(419\) −11.9692 15.0089i −0.584735 0.733235i 0.398177 0.917309i \(-0.369643\pi\)
−0.982912 + 0.184074i \(0.941071\pi\)
\(420\) 41.2226 + 12.7155i 2.01145 + 0.620452i
\(421\) −10.9213 + 27.8270i −0.532272 + 1.35621i 0.371596 + 0.928395i \(0.378811\pi\)
−0.903868 + 0.427812i \(0.859285\pi\)
\(422\) 8.38289 36.7278i 0.408073 1.78788i
\(423\) −10.3464 17.9205i −0.503060 0.871326i
\(424\) 6.50966 11.2751i 0.316137 0.547565i
\(425\) −6.13981 5.69691i −0.297825 0.276341i
\(426\) 47.7074 59.8232i 2.31143 2.89844i
\(427\) −12.8182 + 8.73930i −0.620316 + 0.422924i
\(428\) 20.2398 9.74695i 0.978325 0.471137i
\(429\) 7.62806 0.368286
\(430\) 27.1774 27.5828i 1.31061 1.33016i
\(431\) 20.3418 0.979832 0.489916 0.871770i \(-0.337028\pi\)
0.489916 + 0.871770i \(0.337028\pi\)
\(432\) −14.4284 + 6.94837i −0.694188 + 0.334304i
\(433\) −22.7969 + 15.5427i −1.09555 + 0.746932i −0.969500 0.245092i \(-0.921182\pi\)
−0.126049 + 0.992024i \(0.540230\pi\)
\(434\) −14.5572 + 18.2542i −0.698770 + 0.876229i
\(435\) −49.5129 45.9412i −2.37396 2.20271i
\(436\) 7.59705 13.1585i 0.363833 0.630176i
\(437\) −1.81306 3.14031i −0.0867304 0.150221i
\(438\) −17.4968 + 76.6586i −0.836030 + 3.66289i
\(439\) −9.38354 + 23.9089i −0.447852 + 1.14111i 0.511597 + 0.859226i \(0.329054\pi\)
−0.959449 + 0.281883i \(0.909041\pi\)
\(440\) 3.16605 + 0.976597i 0.150935 + 0.0465574i
\(441\) −10.0155 12.5590i −0.476928 0.598049i
\(442\) −1.74478 + 23.2825i −0.0829908 + 1.10743i
\(443\) 0.266159 0.0820992i 0.0126456 0.00390065i −0.288426 0.957502i \(-0.593132\pi\)
0.301072 + 0.953602i \(0.402656\pi\)
\(444\) −22.3726 15.2534i −1.06176 0.723894i
\(445\) 5.57728 + 0.840639i 0.264388 + 0.0398501i
\(446\) −7.27162 31.8590i −0.344321 1.50857i
\(447\) −3.44570 + 3.19715i −0.162976 + 0.151220i
\(448\) 1.84245 + 24.5858i 0.0870475 + 1.16157i
\(449\) 4.94037 + 12.5878i 0.233150 + 0.594057i 0.998788 0.0492145i \(-0.0156718\pi\)
−0.765638 + 0.643272i \(0.777577\pi\)
\(450\) 28.9358 4.36138i 1.36405 0.205597i
\(451\) −5.13112 2.47102i −0.241615 0.116356i
\(452\) 43.3099 + 20.8570i 2.03713 + 0.981028i
\(453\) −12.7872 + 1.92735i −0.600793 + 0.0905550i
\(454\) 9.90923 + 25.2483i 0.465063 + 1.18496i
\(455\) −1.30400 17.4007i −0.0611325 0.815757i
\(456\) 9.30020 8.62933i 0.435522 0.404105i
\(457\) 3.82680 + 16.7663i 0.179010 + 0.784295i 0.982088 + 0.188421i \(0.0603370\pi\)
−0.803078 + 0.595874i \(0.796806\pi\)
\(458\) 43.5395 + 6.56253i 2.03447 + 0.306647i
\(459\) −20.7001 14.1131i −0.966196 0.658741i
\(460\) −8.55390 + 2.63853i −0.398828 + 0.123022i
\(461\) −0.242881 + 3.24102i −0.0113121 + 0.150949i 0.988687 + 0.149990i \(0.0479243\pi\)
−1.00000 0.000958913i \(0.999695\pi\)
\(462\) 6.57824 + 8.24885i 0.306047 + 0.383771i
\(463\) 32.6129 + 10.0597i 1.51565 + 0.467516i 0.937373 0.348326i \(-0.113250\pi\)
0.578275 + 0.815842i \(0.303726\pi\)
\(464\) 6.76015 17.2246i 0.313832 0.799631i
\(465\) −9.46477 + 41.4679i −0.438918 + 1.92303i
\(466\) −31.9347 55.3125i −1.47934 2.56230i
\(467\) 17.3380 30.0303i 0.802308 1.38964i −0.115786 0.993274i \(-0.536939\pi\)
0.918094 0.396364i \(-0.129728\pi\)
\(468\) −34.2345 31.7650i −1.58249 1.46834i
\(469\) 12.9968 16.2974i 0.600134 0.752545i
\(470\) −18.3075 + 12.4818i −0.844462 + 0.575744i
\(471\) 9.59059 4.61858i 0.441911 0.212813i
\(472\) −4.17873 −0.192342
\(473\) 5.31989 1.04743i 0.244609 0.0481610i
\(474\) 29.5747 1.35841
\(475\) 6.54726 3.15299i 0.300409 0.144669i
\(476\) −15.2759 + 10.4149i −0.700171 + 0.477368i
\(477\) 30.4991 38.2447i 1.39646 1.75110i
\(478\) −38.2237 35.4664i −1.74831 1.62219i
\(479\) −3.86193 + 6.68907i −0.176456 + 0.305631i −0.940664 0.339339i \(-0.889797\pi\)
0.764208 + 0.644970i \(0.223130\pi\)
\(480\) 30.4951 + 52.8191i 1.39190 + 2.41085i
\(481\) −2.43721 + 10.6781i −0.111127 + 0.486881i
\(482\) 4.68892 11.9472i 0.213575 0.544179i
\(483\) −6.90057 2.12854i −0.313987 0.0968520i
\(484\) −17.2289 21.6044i −0.783132 0.982017i
\(485\) −2.45838 + 32.8048i −0.111629 + 1.48959i
\(486\) −16.1402 + 4.97858i −0.732133 + 0.225833i
\(487\) −19.0696 13.0014i −0.864125 0.589151i 0.0480986 0.998843i \(-0.484684\pi\)
−0.912224 + 0.409692i \(0.865636\pi\)
\(488\) 11.1375 + 1.67871i 0.504171 + 0.0759916i
\(489\) 5.00311 + 21.9201i 0.226249 + 0.991260i
\(490\) −12.6090 + 11.6995i −0.569617 + 0.528527i
\(491\) −0.737039 9.83511i −0.0332621 0.443852i −0.988827 0.149070i \(-0.952372\pi\)
0.955565 0.294782i \(-0.0952470\pi\)
\(492\) 19.6681 + 50.1136i 0.886707 + 2.25929i
\(493\) 28.6244 4.31443i 1.28918 0.194312i
\(494\) −18.2509 8.78917i −0.821147 0.395444i
\(495\) 11.2159 + 5.40128i 0.504116 + 0.242770i
\(496\) −11.5222 + 1.73669i −0.517362 + 0.0779798i
\(497\) −8.95411 22.8147i −0.401647 1.02338i
\(498\) −2.25149 30.0441i −0.100892 1.34631i
\(499\) 30.3095 28.1231i 1.35684 1.25896i 0.420759 0.907172i \(-0.361764\pi\)
0.936079 0.351790i \(-0.114427\pi\)
\(500\) 4.14421 + 18.1570i 0.185335 + 0.812004i
\(501\) −14.2002 2.14034i −0.634419 0.0956233i
\(502\) 25.7079 + 17.5274i 1.14740 + 0.782285i
\(503\) 13.2126 4.07554i 0.589120 0.181720i 0.0141584 0.999900i \(-0.495493\pi\)
0.574962 + 0.818180i \(0.305017\pi\)
\(504\) 1.22289 16.3183i 0.0544716 0.726873i
\(505\) 4.33824 + 5.43998i 0.193049 + 0.242076i
\(506\) −2.09206 0.645314i −0.0930032 0.0286877i
\(507\) 3.20307 8.16128i 0.142253 0.362455i
\(508\) −11.6769 + 51.1600i −0.518080 + 2.26986i
\(509\) 12.1089 + 20.9732i 0.536716 + 0.929619i 0.999078 + 0.0429280i \(0.0136686\pi\)
−0.462362 + 0.886691i \(0.652998\pi\)
\(510\) −29.4152 + 50.9486i −1.30253 + 2.25604i
\(511\) 18.4625 + 17.1307i 0.816733 + 0.757818i
\(512\) −14.4118 + 18.0719i −0.636920 + 0.798672i
\(513\) 17.9598 12.2448i 0.792943 0.540620i
\(514\) −35.4107 + 17.0529i −1.56190 + 0.752171i
\(515\) 21.4710 0.946125
\(516\) −43.5983 26.9465i −1.91931 1.18625i
\(517\) −3.10258 −0.136451
\(518\) −13.6489 + 6.57298i −0.599700 + 0.288800i
\(519\) 51.9863 35.4436i 2.28194 1.55580i
\(520\) −7.89872 + 9.90468i −0.346382 + 0.434349i
\(521\) −4.41210 4.09383i −0.193297 0.179354i 0.577586 0.816330i \(-0.303995\pi\)
−0.770884 + 0.636976i \(0.780185\pi\)
\(522\) −50.5683 + 87.5868i −2.21331 + 3.83357i
\(523\) −18.5046 32.0509i −0.809149 1.40149i −0.913454 0.406942i \(-0.866595\pi\)
0.104305 0.994545i \(-0.466738\pi\)
\(524\) 7.22789 31.6674i 0.315752 1.38340i
\(525\) 5.28721 13.4716i 0.230753 0.587949i
\(526\) 32.7672 + 10.1073i 1.42872 + 0.440701i
\(527\) −11.3658 14.2522i −0.495101 0.620838i
\(528\) −0.393496 + 5.25083i −0.0171247 + 0.228513i
\(529\) −20.5463 + 6.33769i −0.893316 + 0.275552i
\(530\) −43.2780 29.5064i −1.87987 1.28168i
\(531\) −15.5252 2.34004i −0.673734 0.101549i
\(532\) −3.56946 15.6388i −0.154756 0.678028i
\(533\) 15.9628 14.8114i 0.691428 0.641551i
\(534\) −0.974466 13.0034i −0.0421693 0.562710i
\(535\) −8.36491 21.3134i −0.361647 0.921461i
\(536\) −14.9648 + 2.25559i −0.646383 + 0.0974266i
\(537\) −44.1808 21.2763i −1.90654 0.918141i
\(538\) 20.6025 + 9.92163i 0.888235 + 0.427752i
\(539\) −2.38159 + 0.358968i −0.102583 + 0.0154618i
\(540\) −19.6043 49.9510i −0.843636 2.14955i
\(541\) −0.253692 3.38529i −0.0109071 0.145545i 0.989091 0.147303i \(-0.0470593\pi\)
−0.999998 + 0.00175845i \(0.999440\pi\)
\(542\) −2.81556 + 2.61246i −0.120939 + 0.112215i
\(543\) 0.523143 + 2.29204i 0.0224502 + 0.0983608i
\(544\) −25.8472 3.89583i −1.10819 0.167032i
\(545\) −12.7952 8.72363i −0.548087 0.373679i
\(546\) −38.5494 + 11.8909i −1.64976 + 0.508884i
\(547\) −1.91085 + 25.4985i −0.0817021 + 1.09024i 0.794170 + 0.607696i \(0.207906\pi\)
−0.875872 + 0.482543i \(0.839713\pi\)
\(548\) 9.96096 + 12.4906i 0.425511 + 0.533574i
\(549\) 40.4389 + 12.4738i 1.72589 + 0.532367i
\(550\) 1.60293 4.08421i 0.0683493 0.174151i
\(551\) −5.58874 + 24.4859i −0.238089 + 1.04313i
\(552\) 2.62141 + 4.54042i 0.111575 + 0.193253i
\(553\) 4.73651 8.20387i 0.201417 0.348864i
\(554\) 2.96230 + 2.74861i 0.125856 + 0.116777i
\(555\) −17.2071 + 21.5770i −0.730401 + 0.915894i
\(556\) 6.88074 4.69121i 0.291808 0.198952i
\(557\) −18.9148 + 9.10888i −0.801445 + 0.385955i −0.789328 0.613971i \(-0.789571\pi\)
−0.0121162 + 0.999927i \(0.503857\pi\)
\(558\) 63.6890 2.69617
\(559\) −3.70335 + 20.3983i −0.156635 + 0.862754i
\(560\) 12.0452 0.509001
\(561\) −7.42182 + 3.57416i −0.313350 + 0.150901i
\(562\) 9.73795 6.63922i 0.410771 0.280059i
\(563\) −16.8730 + 21.1580i −0.711111 + 0.891705i −0.997798 0.0663195i \(-0.978874\pi\)
0.286688 + 0.958024i \(0.407446\pi\)
\(564\) 21.4991 + 19.9482i 0.905274 + 0.839971i
\(565\) 24.4971 42.4302i 1.03060 1.78505i
\(566\) 10.2436 + 17.7424i 0.430570 + 0.745768i
\(567\) 2.18999 9.59497i 0.0919709 0.402951i
\(568\) −6.50081 + 16.5638i −0.272768 + 0.695001i
\(569\) −26.2872 8.10851i −1.10201 0.339927i −0.310190 0.950675i \(-0.600393\pi\)
−0.791825 + 0.610748i \(0.790869\pi\)
\(570\) −31.8244 39.9065i −1.33298 1.67150i
\(571\) 2.56665 34.2495i 0.107411 1.43330i −0.639713 0.768614i \(-0.720947\pi\)
0.747124 0.664685i \(-0.231434\pi\)
\(572\) −6.69108 + 2.06392i −0.279768 + 0.0862970i
\(573\) 27.9019 + 19.0232i 1.16562 + 0.794705i
\(574\) 29.7827 + 4.48902i 1.24311 + 0.187368i
\(575\) 0.668234 + 2.92772i 0.0278673 + 0.122095i
\(576\) 49.3002 45.7439i 2.05418 1.90600i
\(577\) −0.0405171 0.540663i −0.00168675 0.0225081i 0.996297 0.0859794i \(-0.0274019\pi\)
−0.997984 + 0.0634713i \(0.979783\pi\)
\(578\) 4.22246 + 10.7587i 0.175631 + 0.447501i
\(579\) −16.9393 + 2.55319i −0.703973 + 0.106107i
\(580\) 55.8614 + 26.9014i 2.31952 + 1.11702i
\(581\) −8.69466 4.18713i −0.360715 0.173711i
\(582\) 75.2049 11.3353i 3.11734 0.469864i
\(583\) −2.67953 6.82734i −0.110975 0.282759i
\(584\) −1.36646 18.2341i −0.0565444 0.754533i
\(585\) −34.8925 + 32.3755i −1.44263 + 1.33856i
\(586\) 4.60239 + 20.1644i 0.190123 + 0.832983i
\(587\) 9.72187 + 1.46534i 0.401265 + 0.0604809i 0.346574 0.938022i \(-0.387345\pi\)
0.0546901 + 0.998503i \(0.482583\pi\)
\(588\) 18.8111 + 12.8252i 0.775755 + 0.528901i
\(589\) 15.1134 4.66188i 0.622738 0.192089i
\(590\) −1.25636 + 16.7649i −0.0517234 + 0.690200i
\(591\) −10.0329 12.5808i −0.412697 0.517505i
\(592\) −7.22465 2.22851i −0.296931 0.0915911i
\(593\) 10.5629 26.9139i 0.433767 1.10522i −0.532214 0.846610i \(-0.678640\pi\)
0.965981 0.258611i \(-0.0832649\pi\)
\(594\) 2.92034 12.7948i 0.119823 0.524979i
\(595\) 9.42192 + 16.3192i 0.386261 + 0.669024i
\(596\) 2.15740 3.73673i 0.0883707 0.153063i
\(597\) 42.0426 + 39.0098i 1.72069 + 1.59657i
\(598\) 5.21930 6.54479i 0.213433 0.267636i
\(599\) −1.58885 + 1.08326i −0.0649188 + 0.0442609i −0.595345 0.803470i \(-0.702984\pi\)
0.530426 + 0.847731i \(0.322032\pi\)
\(600\) −9.46636 + 4.55876i −0.386463 + 0.186111i
\(601\) −45.9528 −1.87446 −0.937228 0.348718i \(-0.886617\pi\)
−0.937228 + 0.348718i \(0.886617\pi\)
\(602\) −25.2520 + 13.5862i −1.02919 + 0.553732i
\(603\) −56.8617 −2.31559
\(604\) 10.6950 5.15043i 0.435173 0.209568i
\(605\) −23.2703 + 15.8654i −0.946071 + 0.645020i
\(606\) 10.0296 12.5767i 0.407425 0.510895i
\(607\) 21.6805 + 20.1166i 0.879986 + 0.816508i 0.984019 0.178066i \(-0.0569841\pi\)
−0.104032 + 0.994574i \(0.533175\pi\)
\(608\) 11.3394 19.6404i 0.459873 0.796524i
\(609\) 25.0088 + 43.3165i 1.01341 + 1.75527i
\(610\) 10.0835 44.1786i 0.408268 1.78874i
\(611\) 4.33406 11.0430i 0.175337 0.446752i
\(612\) 48.1926 + 14.8654i 1.94807 + 0.600900i
\(613\) −1.83476 2.30071i −0.0741052 0.0929250i 0.743397 0.668850i \(-0.233213\pi\)
−0.817502 + 0.575925i \(0.804642\pi\)
\(614\) 2.89737 38.6627i 0.116928 1.56030i
\(615\) 52.4319 16.1731i 2.11426 0.652162i
\(616\) −2.02721 1.38213i −0.0816786 0.0556875i
\(617\) 9.18497 + 1.38441i 0.369773 + 0.0557343i 0.331300 0.943525i \(-0.392513\pi\)
0.0384726 + 0.999260i \(0.487751\pi\)
\(618\) −11.0457 48.3945i −0.444324 1.94671i
\(619\) −28.9452 + 26.8572i −1.16341 + 1.07948i −0.167803 + 0.985821i \(0.553667\pi\)
−0.995604 + 0.0936630i \(0.970142\pi\)
\(620\) −2.91778 38.9351i −0.117181 1.56367i
\(621\) 3.28172 + 8.36169i 0.131691 + 0.335543i
\(622\) 26.6692 4.01973i 1.06934 0.161176i
\(623\) −3.76313 1.81223i −0.150767 0.0726053i
\(624\) −18.1396 8.73556i −0.726165 0.349702i
\(625\) 30.8988 4.65724i 1.23595 0.186290i
\(626\) −20.6937 52.7267i −0.827087 2.10738i
\(627\) −0.534104 7.12712i −0.0213300 0.284630i
\(628\) −7.16289 + 6.64619i −0.285831 + 0.265212i
\(629\) −2.63197 11.5314i −0.104943 0.459787i
\(630\) −65.1006 9.81234i −2.59367 0.390933i
\(631\) −18.1097 12.3470i −0.720936 0.491526i 0.146415 0.989223i \(-0.453227\pi\)
−0.867351 + 0.497698i \(0.834179\pi\)
\(632\) −6.57199 + 2.02719i −0.261420 + 0.0806373i
\(633\) −3.79793 + 50.6799i −0.150954 + 2.01435i
\(634\) −12.2054 15.3051i −0.484739 0.607843i
\(635\) 51.1081 + 15.7647i 2.02816 + 0.625605i
\(636\) −25.3292 + 64.5377i −1.00437 + 2.55909i
\(637\) 2.04923 8.97825i 0.0811933 0.355731i
\(638\) 7.58195 + 13.1323i 0.300172 + 0.519914i
\(639\) −33.4279 + 57.8988i −1.32239 + 2.29044i
\(640\) −22.1465 20.5490i −0.875418 0.812270i
\(641\) 14.4602 18.1325i 0.571143 0.716191i −0.409431 0.912341i \(-0.634273\pi\)
0.980574 + 0.196151i \(0.0628441\pi\)
\(642\) −43.7360 + 29.8187i −1.72612 + 1.17685i
\(643\) −18.3605 + 8.84194i −0.724067 + 0.348692i −0.759347 0.650685i \(-0.774482\pi\)
0.0352809 + 0.999377i \(0.488767\pi\)
\(644\) 6.62887 0.261214
\(645\) −30.7083 + 42.2595i −1.20914 + 1.66397i
\(646\) 21.8757 0.860687
\(647\) −0.758290 + 0.365173i −0.0298114 + 0.0143564i −0.448730 0.893667i \(-0.648124\pi\)
0.418919 + 0.908024i \(0.362409\pi\)
\(648\) −5.90366 + 4.02505i −0.231918 + 0.158119i
\(649\) −1.46773 + 1.84047i −0.0576134 + 0.0722449i
\(650\) 12.2977 + 11.4106i 0.482357 + 0.447562i
\(651\) 15.7488 27.2778i 0.617245 1.06910i
\(652\) −10.3195 17.8739i −0.404142 0.699994i
\(653\) −8.94329 + 39.1831i −0.349978 + 1.53335i 0.427250 + 0.904134i \(0.359483\pi\)
−0.777227 + 0.629220i \(0.783375\pi\)
\(654\) −13.0801 + 33.3276i −0.511473 + 1.30321i
\(655\) −31.6353 9.75819i −1.23609 0.381284i
\(656\) 9.37207 + 11.7522i 0.365918 + 0.458846i
\(657\) 5.13412 68.5101i 0.200301 2.67283i
\(658\) 15.6793 4.83642i 0.611242 0.188543i
\(659\) −16.9744 11.5729i −0.661229 0.450818i 0.185642 0.982617i \(-0.440564\pi\)
−0.846870 + 0.531800i \(0.821516\pi\)
\(660\) −17.4466 2.62965i −0.679107 0.102359i
\(661\) −4.27999 18.7519i −0.166472 0.729364i −0.987389 0.158315i \(-0.949394\pi\)
0.820916 0.571049i \(-0.193463\pi\)
\(662\) −5.54172 + 5.14197i −0.215385 + 0.199848i
\(663\) −2.35380 31.4093i −0.0914140 1.21984i
\(664\) 2.55968 + 6.52197i 0.0993350 + 0.253101i
\(665\) −16.1667 + 2.43673i −0.626916 + 0.0944925i
\(666\) 37.2317 + 17.9299i 1.44270 + 0.694768i
\(667\) −9.35107 4.50324i −0.362075 0.174366i
\(668\) 13.0351 1.96472i 0.504342 0.0760173i
\(669\) 16.1060 + 41.0374i 0.622694 + 1.58660i
\(670\) 4.55008 + 60.7166i 0.175785 + 2.34569i
\(671\) 4.65129 4.31576i 0.179561 0.166608i
\(672\) −10.0501 44.0323i −0.387691 1.69858i
\(673\) 11.6700 + 1.75897i 0.449846 + 0.0678033i 0.370058 0.929009i \(-0.379338\pi\)
0.0797875 + 0.996812i \(0.474576\pi\)
\(674\) −9.29445 6.33685i −0.358009 0.244086i
\(675\) −17.2018 + 5.30606i −0.662099 + 0.204230i
\(676\) −0.601425 + 8.02546i −0.0231317 + 0.308671i
\(677\) −5.08538 6.37687i −0.195447 0.245083i 0.674445 0.738325i \(-0.264383\pi\)
−0.869892 + 0.493242i \(0.835812\pi\)
\(678\) −108.238 33.3870i −4.15686 1.28222i
\(679\) 8.90000 22.6768i 0.341551 0.870257i
\(680\) 3.04428 13.3379i 0.116743 0.511484i
\(681\) −18.2953 31.6885i −0.701079 1.21430i
\(682\) 4.77460 8.26985i 0.182829 0.316669i
\(683\) 4.30555 + 3.99496i 0.164747 + 0.152863i 0.758238 0.651977i \(-0.226060\pi\)
−0.593491 + 0.804841i \(0.702251\pi\)
\(684\) −27.2819 + 34.2105i −1.04315 + 1.30807i
\(685\) 13.4538 9.17264i 0.514043 0.350469i
\(686\) 39.0549 18.8078i 1.49112 0.718087i
\(687\) −59.4005 −2.26627
\(688\) −13.8503 3.60148i −0.528036 0.137305i
\(689\) 28.0436 1.06838
\(690\) 19.0042 9.15192i 0.723476 0.348408i
\(691\) 30.4990 20.7939i 1.16024 0.791037i 0.179002 0.983849i \(-0.442713\pi\)
0.981236 + 0.192812i \(0.0617607\pi\)
\(692\) −36.0106 + 45.1559i −1.36892 + 1.71657i
\(693\) −6.75768 6.27021i −0.256703 0.238185i
\(694\) 8.29865 14.3737i 0.315012 0.545617i
\(695\) −4.24392 7.35068i −0.160981 0.278827i
\(696\) 8.08050 35.4030i 0.306290 1.34195i
\(697\) −8.59134 + 21.8904i −0.325420 + 0.829157i
\(698\) 54.6267 + 16.8501i 2.06765 + 0.637786i
\(699\) 53.7218 + 67.3650i 2.03194 + 2.54798i
\(700\) −0.992755 + 13.2474i −0.0375226 + 0.500705i
\(701\) −13.3574 + 4.12021i −0.504502 + 0.155618i −0.536551 0.843868i \(-0.680273\pi\)
0.0320488 + 0.999486i \(0.489797\pi\)
\(702\) 41.4612 + 28.2677i 1.56485 + 1.06690i
\(703\) 10.1475 + 1.52950i 0.382722 + 0.0576860i
\(704\) −2.24382 9.83081i −0.0845671 0.370513i
\(705\) 21.9122 20.3316i 0.825263 0.765732i
\(706\) 1.61114 + 21.4991i 0.0606359 + 0.809130i
\(707\) −1.88244 4.79638i −0.0707965 0.180387i
\(708\) 22.0039 3.31656i 0.826959 0.124644i
\(709\) −26.8924 12.9507i −1.00997 0.486374i −0.145656 0.989335i \(-0.546529\pi\)
−0.864309 + 0.502962i \(0.832244\pi\)
\(710\) 64.4988 + 31.0610i 2.42060 + 1.16570i
\(711\) −25.5520 + 3.85134i −0.958275 + 0.144437i
\(712\) 1.10785 + 2.82277i 0.0415186 + 0.105788i
\(713\) 0.488431 + 6.51765i 0.0182919 + 0.244088i
\(714\) 31.9356 29.6319i 1.19516 1.10895i
\(715\) 1.58807 + 6.95780i 0.0593906 + 0.260207i
\(716\) 44.5106 + 6.70890i 1.66344 + 0.250723i
\(717\) 58.1209 + 39.6261i 2.17056 + 1.47987i
\(718\) 2.92251 0.901474i 0.109067 0.0336427i
\(719\) 0.700233 9.34396i 0.0261143 0.348471i −0.968807 0.247816i \(-0.920287\pi\)
0.994921 0.100655i \(-0.0320938\pi\)
\(720\) −20.4860 25.6886i −0.763467 0.957358i
\(721\) −15.1934 4.68654i −0.565832 0.174536i
\(722\) 8.08035 20.5884i 0.300719 0.766220i
\(723\) −3.85278 + 16.8801i −0.143286 + 0.627779i
\(724\) −1.07904 1.86895i −0.0401022 0.0694591i
\(725\) 10.3999 18.0132i 0.386243 0.668992i
\(726\) 47.7311 + 44.2880i 1.77147 + 1.64368i
\(727\) −32.3793 + 40.6024i −1.20088 + 1.50586i −0.389828 + 0.920888i \(0.627466\pi\)
−0.811054 + 0.584971i \(0.801106\pi\)
\(728\) 7.75125 5.28471i 0.287280 0.195864i
\(729\) 33.6878 16.2232i 1.24770 0.600858i
\(730\) −73.5654 −2.72278
\(731\) −5.95447 21.5820i −0.220234 0.798238i
\(732\) −59.9792 −2.21689
\(733\) 14.5273 6.99597i 0.536577 0.258402i −0.145912 0.989298i \(-0.546612\pi\)
0.682489 + 0.730896i \(0.260897\pi\)
\(734\) −50.6529 + 34.5346i −1.86963 + 1.27469i
\(735\) 14.4679 18.1421i 0.533655 0.669183i
\(736\) 6.87010 + 6.37452i 0.253235 + 0.234968i
\(737\) −4.26278 + 7.38335i −0.157021 + 0.271969i
\(738\) −41.0796 71.1520i −1.51216 2.61914i
\(739\) −2.96821 + 13.0046i −0.109187 + 0.478381i 0.890537 + 0.454911i \(0.150329\pi\)
−0.999725 + 0.0234707i \(0.992528\pi\)
\(740\) 9.25540 23.5824i 0.340235 0.866906i
\(741\) 26.1136 + 8.05499i 0.959308 + 0.295907i
\(742\) 24.1841 + 30.3259i 0.887825 + 1.11330i
\(743\) 0.266334 3.55398i 0.00977085 0.130383i −0.990185 0.139762i \(-0.955366\pi\)
0.999956 + 0.00937874i \(0.00298539\pi\)
\(744\) −21.8518 + 6.74038i −0.801125 + 0.247114i
\(745\) −3.63358 2.47733i −0.133124 0.0907624i
\(746\) −50.3996 7.59652i −1.84526 0.278128i
\(747\) 5.85772 + 25.6643i 0.214323 + 0.939009i
\(748\) 5.54311 5.14326i 0.202676 0.188056i
\(749\) 1.26706 + 16.9077i 0.0462974 + 0.617796i
\(750\) −16.0327 40.8507i −0.585432 1.49166i
\(751\) 0.730912 0.110167i 0.0266714 0.00402006i −0.135693 0.990751i \(-0.543326\pi\)
0.162364 + 0.986731i \(0.448088\pi\)
\(752\) 7.37796 + 3.55304i 0.269046 + 0.129566i
\(753\) −37.8182 18.2123i −1.37817 0.663692i
\(754\) −57.3332 + 8.64159i −2.08795 + 0.314708i
\(755\) −4.42014 11.2623i −0.160865 0.409879i
\(756\) 2.96953 + 39.6256i 0.108001 + 1.44117i
\(757\) −4.16657 + 3.86601i −0.151436 + 0.140513i −0.752253 0.658875i \(-0.771033\pi\)
0.600816 + 0.799387i \(0.294842\pi\)
\(758\) −1.09562 4.80021i −0.0397946 0.174352i
\(759\) 2.92052 + 0.440198i 0.106008 + 0.0159782i
\(760\) 9.80729 + 6.68650i 0.355748 + 0.242545i
\(761\) −23.9356 + 7.38315i −0.867665 + 0.267639i −0.696459 0.717596i \(-0.745242\pi\)
−0.171205 + 0.985235i \(0.554766\pi\)
\(762\) 9.24043 123.305i 0.334746 4.46687i
\(763\) 7.15007 + 8.96591i 0.258850 + 0.324588i
\(764\) −29.6217 9.13708i −1.07168 0.330568i
\(765\) 18.7794 47.8492i 0.678972 1.72999i
\(766\) −9.43171 + 41.3230i −0.340781 + 1.49306i
\(767\) −4.50049 7.79508i −0.162503 0.281464i
\(768\) 0.662621 1.14769i 0.0239103 0.0414138i
\(769\) −19.8037 18.3752i −0.714140 0.662625i 0.236956 0.971520i \(-0.423850\pi\)
−0.951096 + 0.308895i \(0.900041\pi\)
\(770\) −6.15454 + 7.71754i −0.221794 + 0.278121i
\(771\) 43.8086 29.8682i 1.57773 1.07568i
\(772\) 14.1678 6.82284i