Properties

Label 105.3.o.b.74.11
Level 105
Weight 3
Character 105.74
Analytic conductor 2.861
Analytic rank 0
Dimension 40
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) \(=\) \( 105 = 3 \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 105.o (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.86104277578\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(20\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 74.11
Character \(\chi\) \(=\) 105.74
Dual form 105.3.o.b.44.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0859580 + 0.148884i) q^{2} +(-2.40718 + 1.79039i) q^{3} +(1.98522 - 3.43851i) q^{4} +(-4.85467 - 1.19675i) q^{5} +(-0.473476 - 0.204491i) q^{6} +(-6.99566 - 0.246384i) q^{7} +1.37025 q^{8} +(2.58900 - 8.61957i) q^{9} +O(q^{10})\) \(q+(0.0859580 + 0.148884i) q^{2} +(-2.40718 + 1.79039i) q^{3} +(1.98522 - 3.43851i) q^{4} +(-4.85467 - 1.19675i) q^{5} +(-0.473476 - 0.204491i) q^{6} +(-6.99566 - 0.246384i) q^{7} +1.37025 q^{8} +(2.58900 - 8.61957i) q^{9} +(-0.239121 - 0.825650i) q^{10} +(-10.0440 - 5.79890i) q^{11} +(1.37749 + 11.8314i) q^{12} -7.34521i q^{13} +(-0.564650 - 1.06272i) q^{14} +(13.8287 - 5.81096i) q^{15} +(-7.82311 - 13.5500i) q^{16} +(-2.30611 + 3.99429i) q^{17} +(1.50586 - 0.355461i) q^{18} +(5.93904 + 10.2867i) q^{19} +(-13.7526 + 14.3170i) q^{20} +(17.2809 - 11.9319i) q^{21} -1.99385i q^{22} +(-11.8464 - 20.5186i) q^{23} +(-3.29843 + 2.45328i) q^{24} +(22.1356 + 11.6196i) q^{25} +(1.09358 - 0.631380i) q^{26} +(9.20022 + 25.3842i) q^{27} +(-14.7351 + 23.5655i) q^{28} +32.7592i q^{29} +(2.05384 + 1.55937i) q^{30} +(-23.4865 + 40.6798i) q^{31} +(4.08541 - 7.07614i) q^{32} +(34.5599 - 4.02368i) q^{33} -0.792913 q^{34} +(33.6668 + 9.56817i) q^{35} +(-24.4987 - 26.0141i) q^{36} +(41.2822 - 23.8343i) q^{37} +(-1.02102 + 1.76845i) q^{38} +(13.1508 + 17.6812i) q^{39} +(-6.65209 - 1.63984i) q^{40} -70.7266i q^{41} +(3.26189 + 1.54721i) q^{42} -14.1244i q^{43} +(-39.8791 + 23.0242i) q^{44} +(-22.8842 + 38.7468i) q^{45} +(2.03658 - 3.52747i) q^{46} +(-26.1140 - 45.2307i) q^{47} +(43.0914 + 18.6109i) q^{48} +(48.8786 + 3.44723i) q^{49} +(0.172755 + 4.29442i) q^{50} +(-1.60014 - 13.7438i) q^{51} +(-25.2566 - 14.5819i) q^{52} +(-11.5105 + 19.9368i) q^{53} +(-2.98845 + 3.55173i) q^{54} +(41.8204 + 40.1718i) q^{55} +(-9.58578 - 0.337606i) q^{56} +(-32.7136 - 14.1288i) q^{57} +(-4.87730 + 2.81591i) q^{58} +(1.09721 + 0.633473i) q^{59} +(7.47201 - 59.0861i) q^{60} +(-32.3278 - 55.9933i) q^{61} -8.07541 q^{62} +(-20.2355 + 59.6617i) q^{63} -61.1802 q^{64} +(-8.79039 + 35.6586i) q^{65} +(3.56976 + 4.79954i) q^{66} +(17.1764 + 9.91678i) q^{67} +(9.15627 + 15.8591i) q^{68} +(65.2526 + 28.1821i) q^{69} +(1.46938 + 5.83489i) q^{70} -48.1993i q^{71} +(3.54757 - 11.8109i) q^{72} +(-107.763 - 62.2168i) q^{73} +(7.09706 + 4.09749i) q^{74} +(-74.0880 + 11.6608i) q^{75} +47.1613 q^{76} +(68.8356 + 43.0418i) q^{77} +(-1.50203 + 3.47778i) q^{78} +(-34.4509 - 59.6707i) q^{79} +(21.7626 + 75.1431i) q^{80} +(-67.5941 - 44.6322i) q^{81} +(10.5300 - 6.07951i) q^{82} +35.8731 q^{83} +(-6.72137 - 83.1080i) q^{84} +(15.9756 - 16.6311i) q^{85} +(2.10289 - 1.21410i) q^{86} +(-58.6517 - 78.8571i) q^{87} +(-13.7627 - 7.94592i) q^{88} +(110.539 - 63.8196i) q^{89} +(-7.73584 - 0.0764914i) q^{90} +(-1.80974 + 51.3846i) q^{91} -94.0709 q^{92} +(-16.2966 - 139.974i) q^{93} +(4.48941 - 7.77588i) q^{94} +(-16.5214 - 57.0462i) q^{95} +(2.83474 + 24.3480i) q^{96} +26.9526i q^{97} +(3.68827 + 7.57354i) q^{98} +(-75.9879 + 71.5615i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 44q^{4} + 80q^{6} + 12q^{9} + O(q^{10}) \) \( 40q - 44q^{4} + 80q^{6} + 12q^{9} + 62q^{10} + 84q^{15} - 116q^{16} - 56q^{19} + 36q^{21} - 12q^{24} - 6q^{25} - 20q^{30} - 444q^{31} + 256q^{34} - 688q^{36} + 168q^{39} + 54q^{40} - 40q^{45} + 304q^{46} + 156q^{49} + 156q^{51} - 140q^{54} - 500q^{55} - 130q^{60} + 288q^{61} + 472q^{64} + 340q^{66} - 272q^{69} + 710q^{70} - 524q^{75} + 400q^{76} - 340q^{79} + 496q^{84} + 896q^{85} + 1356q^{90} - 656q^{91} - 560q^{94} + 472q^{96} - 336q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).

\(n\) \(22\) \(31\) \(71\)
\(\chi(n)\) \(-1\) \(e\left(\frac{2}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0859580 + 0.148884i 0.0429790 + 0.0744418i 0.886715 0.462317i \(-0.152982\pi\)
−0.843736 + 0.536759i \(0.819648\pi\)
\(3\) −2.40718 + 1.79039i −0.802392 + 0.596797i
\(4\) 1.98522 3.43851i 0.496306 0.859627i
\(5\) −4.85467 1.19675i −0.970933 0.239350i
\(6\) −0.473476 0.204491i −0.0789126 0.0340818i
\(7\) −6.99566 0.246384i −0.999380 0.0351977i
\(8\) 1.37025 0.171281
\(9\) 2.58900 8.61957i 0.287667 0.957730i
\(10\) −0.239121 0.825650i −0.0239121 0.0825650i
\(11\) −10.0440 5.79890i −0.913089 0.527172i −0.0316655 0.999499i \(-0.510081\pi\)
−0.881424 + 0.472326i \(0.843414\pi\)
\(12\) 1.37749 + 11.8314i 0.114791 + 0.985951i
\(13\) 7.34521i 0.565016i −0.959265 0.282508i \(-0.908834\pi\)
0.959265 0.282508i \(-0.0911665\pi\)
\(14\) −0.564650 1.06272i −0.0403322 0.0759084i
\(15\) 13.8287 5.81096i 0.921913 0.387397i
\(16\) −7.82311 13.5500i −0.488944 0.846876i
\(17\) −2.30611 + 3.99429i −0.135653 + 0.234958i −0.925847 0.377899i \(-0.876647\pi\)
0.790194 + 0.612857i \(0.209980\pi\)
\(18\) 1.50586 0.355461i 0.0836588 0.0197478i
\(19\) 5.93904 + 10.2867i 0.312581 + 0.541406i 0.978920 0.204242i \(-0.0654730\pi\)
−0.666339 + 0.745649i \(0.732140\pi\)
\(20\) −13.7526 + 14.3170i −0.687631 + 0.715849i
\(21\) 17.2809 11.9319i 0.822901 0.568185i
\(22\) 1.99385i 0.0906293i
\(23\) −11.8464 20.5186i −0.515061 0.892111i −0.999847 0.0174789i \(-0.994436\pi\)
0.484786 0.874633i \(-0.338897\pi\)
\(24\) −3.29843 + 2.45328i −0.137434 + 0.102220i
\(25\) 22.1356 + 11.6196i 0.885423 + 0.464786i
\(26\) 1.09358 0.631380i 0.0420608 0.0242838i
\(27\) 9.20022 + 25.3842i 0.340749 + 0.940154i
\(28\) −14.7351 + 23.5655i −0.526255 + 0.841625i
\(29\) 32.7592i 1.12963i 0.825219 + 0.564813i \(0.191052\pi\)
−0.825219 + 0.564813i \(0.808948\pi\)
\(30\) 2.05384 + 1.55937i 0.0684614 + 0.0519789i
\(31\) −23.4865 + 40.6798i −0.757629 + 1.31225i 0.186427 + 0.982469i \(0.440309\pi\)
−0.944057 + 0.329784i \(0.893024\pi\)
\(32\) 4.08541 7.07614i 0.127669 0.221129i
\(33\) 34.5599 4.02368i 1.04727 0.121930i
\(34\) −0.792913 −0.0233210
\(35\) 33.6668 + 9.56817i 0.961907 + 0.273376i
\(36\) −24.4987 26.0141i −0.680520 0.722613i
\(37\) 41.2822 23.8343i 1.11573 0.644170i 0.175426 0.984493i \(-0.443870\pi\)
0.940309 + 0.340323i \(0.110536\pi\)
\(38\) −1.02102 + 1.76845i −0.0268688 + 0.0465382i
\(39\) 13.1508 + 17.6812i 0.337200 + 0.453365i
\(40\) −6.65209 1.63984i −0.166302 0.0409961i
\(41\) 70.7266i 1.72504i −0.506024 0.862520i \(-0.668885\pi\)
0.506024 0.862520i \(-0.331115\pi\)
\(42\) 3.26189 + 1.54721i 0.0776641 + 0.0368382i
\(43\) 14.1244i 0.328474i −0.986421 0.164237i \(-0.947484\pi\)
0.986421 0.164237i \(-0.0525162\pi\)
\(44\) −39.8791 + 23.0242i −0.906343 + 0.523277i
\(45\) −22.8842 + 38.7468i −0.508538 + 0.861039i
\(46\) 2.03658 3.52747i 0.0442736 0.0766841i
\(47\) −26.1140 45.2307i −0.555616 0.962356i −0.997855 0.0654585i \(-0.979149\pi\)
0.442239 0.896897i \(-0.354184\pi\)
\(48\) 43.0914 + 18.6109i 0.897738 + 0.387727i
\(49\) 48.8786 + 3.44723i 0.997522 + 0.0703517i
\(50\) 0.172755 + 4.29442i 0.00345509 + 0.0858885i
\(51\) −1.60014 13.7438i −0.0313753 0.269486i
\(52\) −25.2566 14.5819i −0.485703 0.280421i
\(53\) −11.5105 + 19.9368i −0.217179 + 0.376166i −0.953945 0.299983i \(-0.903019\pi\)
0.736765 + 0.676149i \(0.236352\pi\)
\(54\) −2.98845 + 3.55173i −0.0553417 + 0.0657728i
\(55\) 41.8204 + 40.1718i 0.760370 + 0.730397i
\(56\) −9.58578 0.337606i −0.171175 0.00602868i
\(57\) −32.7136 14.1288i −0.573922 0.247873i
\(58\) −4.87730 + 2.81591i −0.0840914 + 0.0485502i
\(59\) 1.09721 + 0.633473i 0.0185967 + 0.0107368i 0.509270 0.860607i \(-0.329916\pi\)
−0.490673 + 0.871344i \(0.663249\pi\)
\(60\) 7.47201 59.0861i 0.124534 0.984768i
\(61\) −32.3278 55.9933i −0.529963 0.917923i −0.999389 0.0349515i \(-0.988872\pi\)
0.469426 0.882972i \(-0.344461\pi\)
\(62\) −8.07541 −0.130249
\(63\) −20.2355 + 59.6617i −0.321199 + 0.947012i
\(64\) −61.1802 −0.955940
\(65\) −8.79039 + 35.6586i −0.135237 + 0.548593i
\(66\) 3.56976 + 4.79954i 0.0540873 + 0.0727203i
\(67\) 17.1764 + 9.91678i 0.256364 + 0.148012i 0.622675 0.782481i \(-0.286046\pi\)
−0.366311 + 0.930493i \(0.619379\pi\)
\(68\) 9.15627 + 15.8591i 0.134651 + 0.233222i
\(69\) 65.2526 + 28.1821i 0.945690 + 0.408437i
\(70\) 1.46938 + 5.83489i 0.0209912 + 0.0833555i
\(71\) 48.1993i 0.678863i −0.940631 0.339432i \(-0.889765\pi\)
0.940631 0.339432i \(-0.110235\pi\)
\(72\) 3.54757 11.8109i 0.0492718 0.164041i
\(73\) −107.763 62.2168i −1.47620 0.852285i −0.476562 0.879141i \(-0.658117\pi\)
−0.999639 + 0.0268558i \(0.991451\pi\)
\(74\) 7.09706 + 4.09749i 0.0959063 + 0.0553715i
\(75\) −74.0880 + 11.6608i −0.987840 + 0.155477i
\(76\) 47.1613 0.620543
\(77\) 68.8356 + 43.0418i 0.893968 + 0.558984i
\(78\) −1.50203 + 3.47778i −0.0192568 + 0.0445869i
\(79\) −34.4509 59.6707i −0.436087 0.755325i 0.561296 0.827615i \(-0.310303\pi\)
−0.997384 + 0.0722896i \(0.976969\pi\)
\(80\) 21.7626 + 75.1431i 0.272032 + 0.939289i
\(81\) −67.5941 44.6322i −0.834495 0.551015i
\(82\) 10.5300 6.07951i 0.128415 0.0741404i
\(83\) 35.8731 0.432206 0.216103 0.976371i \(-0.430665\pi\)
0.216103 + 0.976371i \(0.430665\pi\)
\(84\) −6.72137 83.1080i −0.0800163 0.989381i
\(85\) 15.9756 16.6311i 0.187948 0.195660i
\(86\) 2.10289 1.21410i 0.0244522 0.0141175i
\(87\) −58.6517 78.8571i −0.674158 0.906404i
\(88\) −13.7627 7.94592i −0.156395 0.0902945i
\(89\) 110.539 63.8196i 1.24201 0.717074i 0.272506 0.962154i \(-0.412148\pi\)
0.969503 + 0.245080i \(0.0788143\pi\)
\(90\) −7.73584 0.0764914i −0.0859538 0.000849904i
\(91\) −1.80974 + 51.3846i −0.0198873 + 0.564666i
\(92\) −94.0709 −1.02251
\(93\) −16.2966 139.974i −0.175232 1.50509i
\(94\) 4.48941 7.77588i 0.0477597 0.0827221i
\(95\) −16.5214 57.0462i −0.173910 0.600486i
\(96\) 2.83474 + 24.3480i 0.0295286 + 0.253625i
\(97\) 26.9526i 0.277862i 0.990302 + 0.138931i \(0.0443666\pi\)
−0.990302 + 0.138931i \(0.955633\pi\)
\(98\) 3.68827 + 7.57354i 0.0376354 + 0.0772810i
\(99\) −75.9879 + 71.5615i −0.767555 + 0.722843i
\(100\) 83.8983 53.0457i 0.838983 0.530457i
\(101\) 15.8571 + 9.15508i 0.157001 + 0.0906444i 0.576442 0.817138i \(-0.304441\pi\)
−0.419441 + 0.907782i \(0.637774\pi\)
\(102\) 1.90868 1.41962i 0.0187126 0.0139179i
\(103\) −26.9167 + 15.5404i −0.261327 + 0.150877i −0.624940 0.780673i \(-0.714877\pi\)
0.363613 + 0.931550i \(0.381543\pi\)
\(104\) 10.0648i 0.0967765i
\(105\) −98.1726 + 37.2443i −0.934977 + 0.354708i
\(106\) −3.95768 −0.0373366
\(107\) 91.2333 + 158.021i 0.852648 + 1.47683i 0.878810 + 0.477172i \(0.158338\pi\)
−0.0261619 + 0.999658i \(0.508329\pi\)
\(108\) 105.548 + 18.7582i 0.977297 + 0.173687i
\(109\) 17.0498 29.5311i 0.156420 0.270928i −0.777155 0.629309i \(-0.783338\pi\)
0.933575 + 0.358381i \(0.116671\pi\)
\(110\) −2.38614 + 9.67945i −0.0216921 + 0.0879950i
\(111\) −56.7009 + 131.285i −0.510819 + 1.18274i
\(112\) 51.3893 + 96.7188i 0.458833 + 0.863561i
\(113\) 64.0417 0.566740 0.283370 0.959011i \(-0.408547\pi\)
0.283370 + 0.959011i \(0.408547\pi\)
\(114\) −0.708453 6.08499i −0.00621450 0.0533771i
\(115\) 32.9547 + 113.788i 0.286563 + 0.989461i
\(116\) 112.643 + 65.0342i 0.971057 + 0.560640i
\(117\) −63.3126 19.0168i −0.541134 0.162537i
\(118\) 0.217808i 0.00184583i
\(119\) 17.1169 27.3745i 0.143839 0.230038i
\(120\) 18.9487 7.96245i 0.157906 0.0663537i
\(121\) 6.75440 + 11.6990i 0.0558215 + 0.0966857i
\(122\) 5.55766 9.62615i 0.0455546 0.0789028i
\(123\) 126.628 + 170.251i 1.02950 + 1.38416i
\(124\) 93.2519 + 161.517i 0.752031 + 1.30256i
\(125\) −93.5550 82.9003i −0.748440 0.663202i
\(126\) −10.6221 + 2.11567i −0.0843020 + 0.0167910i
\(127\) 131.997i 1.03934i 0.854366 + 0.519672i \(0.173946\pi\)
−0.854366 + 0.519672i \(0.826054\pi\)
\(128\) −21.6006 37.4133i −0.168754 0.292291i
\(129\) 25.2882 + 33.9999i 0.196032 + 0.263565i
\(130\) −6.06458 + 1.75639i −0.0466506 + 0.0135107i
\(131\) −69.4990 + 40.1253i −0.530527 + 0.306300i −0.741231 0.671250i \(-0.765758\pi\)
0.210704 + 0.977550i \(0.432424\pi\)
\(132\) 54.7737 126.822i 0.414952 0.960776i
\(133\) −39.0131 73.4257i −0.293331 0.552073i
\(134\) 3.40971i 0.0254456i
\(135\) −14.2855 134.242i −0.105818 0.994385i
\(136\) −3.15993 + 5.47317i −0.0232348 + 0.0402439i
\(137\) 77.7452 134.659i 0.567483 0.982909i −0.429331 0.903147i \(-0.641251\pi\)
0.996814 0.0797620i \(-0.0254160\pi\)
\(138\) 1.41313 + 12.1375i 0.0102400 + 0.0879530i
\(139\) −131.310 −0.944678 −0.472339 0.881417i \(-0.656590\pi\)
−0.472339 + 0.881417i \(0.656590\pi\)
\(140\) 99.7362 96.7684i 0.712401 0.691203i
\(141\) 143.842 + 62.1242i 1.02015 + 0.440597i
\(142\) 7.17608 4.14311i 0.0505358 0.0291768i
\(143\) −42.5941 + 73.7752i −0.297861 + 0.515911i
\(144\) −137.049 + 32.3508i −0.951732 + 0.224658i
\(145\) 39.2045 159.035i 0.270376 1.09679i
\(146\) 21.3921i 0.146521i
\(147\) −123.831 + 79.2137i −0.842390 + 0.538868i
\(148\) 189.265i 1.27882i
\(149\) −81.9236 + 47.2986i −0.549823 + 0.317440i −0.749050 0.662513i \(-0.769490\pi\)
0.199228 + 0.979953i \(0.436157\pi\)
\(150\) −8.10455 10.0281i −0.0540303 0.0668543i
\(151\) 14.8293 25.6851i 0.0982074 0.170100i −0.812735 0.582633i \(-0.802022\pi\)
0.910943 + 0.412533i \(0.135356\pi\)
\(152\) 8.13795 + 14.0953i 0.0535392 + 0.0927325i
\(153\) 28.4586 + 30.2189i 0.186004 + 0.197509i
\(154\) −0.491251 + 13.9483i −0.00318994 + 0.0905732i
\(155\) 162.703 169.379i 1.04970 1.09277i
\(156\) 86.9043 10.1179i 0.557079 0.0648586i
\(157\) 39.7991 + 22.9780i 0.253497 + 0.146357i 0.621365 0.783522i \(-0.286579\pi\)
−0.367867 + 0.929878i \(0.619912\pi\)
\(158\) 5.92266 10.2583i 0.0374852 0.0649262i
\(159\) −7.98680 68.5997i −0.0502314 0.431444i
\(160\) −28.3017 + 29.4631i −0.176885 + 0.184144i
\(161\) 77.8180 + 146.460i 0.483341 + 0.909688i
\(162\) 0.834748 13.9001i 0.00515277 0.0858034i
\(163\) −184.229 + 106.364i −1.13024 + 0.652542i −0.943994 0.329962i \(-0.892964\pi\)
−0.186242 + 0.982504i \(0.559631\pi\)
\(164\) −243.194 140.408i −1.48289 0.856147i
\(165\) −172.592 21.8260i −1.04601 0.132279i
\(166\) 3.08358 + 5.34092i 0.0185758 + 0.0321742i
\(167\) −11.5544 −0.0691879 −0.0345940 0.999401i \(-0.511014\pi\)
−0.0345940 + 0.999401i \(0.511014\pi\)
\(168\) 23.6791 16.3496i 0.140947 0.0973191i
\(169\) 115.048 0.680756
\(170\) 3.84933 + 0.948919i 0.0226431 + 0.00558188i
\(171\) 104.043 24.5597i 0.608441 0.143624i
\(172\) −48.5668 28.0401i −0.282365 0.163024i
\(173\) 1.95332 + 3.38324i 0.0112908 + 0.0195563i 0.871616 0.490190i \(-0.163073\pi\)
−0.860325 + 0.509746i \(0.829739\pi\)
\(174\) 6.69895 15.5107i 0.0384997 0.0891418i
\(175\) −151.990 86.7410i −0.868515 0.495663i
\(176\) 181.462i 1.03103i
\(177\) −3.77534 + 0.439548i −0.0213296 + 0.00248332i
\(178\) 19.0034 + 10.9716i 0.106761 + 0.0616382i
\(179\) 190.707 + 110.105i 1.06540 + 0.615110i 0.926921 0.375256i \(-0.122445\pi\)
0.138480 + 0.990365i \(0.455778\pi\)
\(180\) 87.8007 + 155.609i 0.487782 + 0.864492i
\(181\) 77.8562 0.430145 0.215072 0.976598i \(-0.431001\pi\)
0.215072 + 0.976598i \(0.431001\pi\)
\(182\) −7.80589 + 4.14748i −0.0428895 + 0.0227883i
\(183\) 178.069 + 76.9065i 0.973052 + 0.420254i
\(184\) −16.2325 28.1155i −0.0882200 0.152802i
\(185\) −228.935 + 66.3030i −1.23749 + 0.358395i
\(186\) 19.4389 14.4581i 0.104510 0.0777319i
\(187\) 46.3250 26.7457i 0.247727 0.143025i
\(188\) −207.368 −1.10302
\(189\) −58.1074 179.846i −0.307446 0.951565i
\(190\) 7.07309 7.36334i 0.0372268 0.0387544i
\(191\) −205.885 + 118.868i −1.07793 + 0.622345i −0.930338 0.366703i \(-0.880486\pi\)
−0.147594 + 0.989048i \(0.547153\pi\)
\(192\) 147.271 109.536i 0.767039 0.570502i
\(193\) −182.727 105.498i −0.946773 0.546620i −0.0546961 0.998503i \(-0.517419\pi\)
−0.892077 + 0.451883i \(0.850752\pi\)
\(194\) −4.01279 + 2.31679i −0.0206845 + 0.0119422i
\(195\) −42.6827 101.575i −0.218886 0.520896i
\(196\) 108.888 161.226i 0.555552 0.822581i
\(197\) −378.734 −1.92251 −0.961253 0.275667i \(-0.911101\pi\)
−0.961253 + 0.275667i \(0.911101\pi\)
\(198\) −17.1861 5.16207i −0.0867985 0.0260711i
\(199\) 95.2314 164.946i 0.478550 0.828873i −0.521148 0.853467i \(-0.674496\pi\)
0.999698 + 0.0245938i \(0.00782923\pi\)
\(200\) 30.3312 + 15.9218i 0.151656 + 0.0796089i
\(201\) −59.1015 + 6.88096i −0.294037 + 0.0342336i
\(202\) 3.14781i 0.0155832i
\(203\) 8.07132 229.172i 0.0397602 1.12893i
\(204\) −50.4348 21.7824i −0.247229 0.106777i
\(205\) −84.6421 + 343.354i −0.412888 + 1.67490i
\(206\) −4.62741 2.67164i −0.0224632 0.0129691i
\(207\) −207.532 + 48.9883i −1.00257 + 0.236658i
\(208\) −99.5278 + 57.4624i −0.478499 + 0.276262i
\(209\) 137.760i 0.659137i
\(210\) −13.9838 11.4148i −0.0665895 0.0543564i
\(211\) 56.9073 0.269703 0.134851 0.990866i \(-0.456944\pi\)
0.134851 + 0.990866i \(0.456944\pi\)
\(212\) 45.7018 + 79.1579i 0.215575 + 0.373386i
\(213\) 86.2955 + 116.024i 0.405143 + 0.544715i
\(214\) −15.6845 + 27.1663i −0.0732919 + 0.126945i
\(215\) −16.9034 + 68.5692i −0.0786203 + 0.318927i
\(216\) 12.6066 + 34.7826i 0.0583637 + 0.161030i
\(217\) 174.327 278.796i 0.803348 1.28477i
\(218\) 5.86227 0.0268911
\(219\) 370.796 43.1704i 1.69313 0.197125i
\(220\) 221.154 64.0495i 1.00524 0.291134i
\(221\) 29.3389 + 16.9388i 0.132755 + 0.0766464i
\(222\) −24.4200 + 2.84313i −0.110000 + 0.0128069i
\(223\) 105.559i 0.473357i −0.971588 0.236679i \(-0.923941\pi\)
0.971588 0.236679i \(-0.0760589\pi\)
\(224\) −30.3236 + 48.4957i −0.135373 + 0.216499i
\(225\) 157.465 160.716i 0.699847 0.714293i
\(226\) 5.50489 + 9.53475i 0.0243579 + 0.0421892i
\(227\) 193.360 334.909i 0.851805 1.47537i −0.0277721 0.999614i \(-0.508841\pi\)
0.879577 0.475756i \(-0.157825\pi\)
\(228\) −113.526 + 84.4371i −0.497919 + 0.370338i
\(229\) −14.0913 24.4068i −0.0615340 0.106580i 0.833617 0.552343i \(-0.186266\pi\)
−0.895151 + 0.445762i \(0.852933\pi\)
\(230\) −14.1084 + 14.6874i −0.0613410 + 0.0638582i
\(231\) −242.761 + 19.6333i −1.05091 + 0.0849927i
\(232\) 44.8881i 0.193483i
\(233\) 171.016 + 296.208i 0.733974 + 1.27128i 0.955172 + 0.296051i \(0.0956698\pi\)
−0.221199 + 0.975229i \(0.570997\pi\)
\(234\) −2.61094 11.0609i −0.0111579 0.0472686i
\(235\) 72.6447 + 250.832i 0.309127 + 1.06737i
\(236\) 4.35640 2.51517i 0.0184593 0.0106575i
\(237\) 189.763 + 81.9574i 0.800689 + 0.345812i
\(238\) 5.54695 + 0.195361i 0.0233065 + 0.000820844i
\(239\) 105.588i 0.441791i −0.975298 0.220895i \(-0.929102\pi\)
0.975298 0.220895i \(-0.0708979\pi\)
\(240\) −186.922 141.919i −0.778841 0.591330i
\(241\) −9.53578 + 16.5165i −0.0395675 + 0.0685330i −0.885131 0.465342i \(-0.845931\pi\)
0.845563 + 0.533875i \(0.179265\pi\)
\(242\) −1.16119 + 2.01124i −0.00479830 + 0.00831090i
\(243\) 242.620 13.5823i 0.998437 0.0558941i
\(244\) −256.711 −1.05210
\(245\) −233.164 75.2306i −0.951689 0.307064i
\(246\) −14.4629 + 33.4873i −0.0587924 + 0.136127i
\(247\) 75.5582 43.6235i 0.305904 0.176614i
\(248\) −32.1823 + 55.7414i −0.129767 + 0.224764i
\(249\) −86.3529 + 64.2269i −0.346799 + 0.257939i
\(250\) 4.30069 21.0547i 0.0172028 0.0842190i
\(251\) 222.387i 0.886003i 0.896521 + 0.443001i \(0.146086\pi\)
−0.896521 + 0.443001i \(0.853914\pi\)
\(252\) 164.975 + 188.022i 0.654664 + 0.746118i
\(253\) 274.784i 1.08610i
\(254\) −19.6521 + 11.3462i −0.0773706 + 0.0446699i
\(255\) −8.67976 + 68.6366i −0.0340383 + 0.269163i
\(256\) −118.647 + 205.502i −0.463464 + 0.802744i
\(257\) −182.147 315.488i −0.708743 1.22758i −0.965324 0.261056i \(-0.915929\pi\)
0.256581 0.966523i \(-0.417404\pi\)
\(258\) −2.88831 + 6.68756i −0.0111950 + 0.0259208i
\(259\) −294.669 + 156.565i −1.13772 + 0.604499i
\(260\) 105.161 + 101.016i 0.404467 + 0.388523i
\(261\) 282.370 + 84.8136i 1.08188 + 0.324956i
\(262\) −11.9480 6.89817i −0.0456030 0.0263289i
\(263\) 181.221 313.884i 0.689054 1.19348i −0.283090 0.959093i \(-0.591360\pi\)
0.972144 0.234383i \(-0.0753070\pi\)
\(264\) 47.3556 5.51344i 0.179377 0.0208842i
\(265\) 79.7390 83.0112i 0.300902 0.313250i
\(266\) 7.57840 12.1199i 0.0284902 0.0455636i
\(267\) −151.824 + 351.533i −0.568631 + 1.31660i
\(268\) 68.1978 39.3740i 0.254470 0.146918i
\(269\) 274.148 + 158.279i 1.01914 + 0.588399i 0.913854 0.406043i \(-0.133092\pi\)
0.105283 + 0.994442i \(0.466425\pi\)
\(270\) 18.7585 13.6660i 0.0694759 0.0506150i
\(271\) 24.8208 + 42.9910i 0.0915898 + 0.158638i 0.908180 0.418579i \(-0.137472\pi\)
−0.816590 + 0.577218i \(0.804138\pi\)
\(272\) 72.1637 0.265308
\(273\) −87.6422 126.932i −0.321034 0.464953i
\(274\) 26.7313 0.0975594
\(275\) −154.948 245.069i −0.563448 0.891162i
\(276\) 226.445 168.424i 0.820454 0.610231i
\(277\) 95.4077 + 55.0836i 0.344432 + 0.198858i 0.662230 0.749300i \(-0.269610\pi\)
−0.317798 + 0.948158i \(0.602943\pi\)
\(278\) −11.2872 19.5499i −0.0406013 0.0703235i
\(279\) 289.836 + 307.764i 1.03884 + 1.10310i
\(280\) 46.1317 + 13.1108i 0.164756 + 0.0468241i
\(281\) 400.249i 1.42437i −0.701990 0.712187i \(-0.747705\pi\)
0.701990 0.712187i \(-0.252295\pi\)
\(282\) 3.11507 + 26.7557i 0.0110463 + 0.0948784i
\(283\) 277.081 + 159.973i 0.979086 + 0.565276i 0.901994 0.431748i \(-0.142103\pi\)
0.0770921 + 0.997024i \(0.475436\pi\)
\(284\) −165.734 95.6863i −0.583569 0.336924i
\(285\) 141.905 + 107.740i 0.497912 + 0.378036i
\(286\) −14.6452 −0.0512071
\(287\) −17.4259 + 494.779i −0.0607173 + 1.72397i
\(288\) −50.4161 53.5346i −0.175056 0.185884i
\(289\) 133.864 + 231.859i 0.463196 + 0.802280i
\(290\) 27.0476 7.83340i 0.0932676 0.0270117i
\(291\) −48.2556 64.8796i −0.165827 0.222954i
\(292\) −427.866 + 247.028i −1.46529 + 0.845988i
\(293\) −328.719 −1.12191 −0.560954 0.827847i \(-0.689566\pi\)
−0.560954 + 0.827847i \(0.689566\pi\)
\(294\) −22.4379 11.6274i −0.0763194 0.0395490i
\(295\) −4.56847 4.38838i −0.0154863 0.0148759i
\(296\) 56.5668 32.6588i 0.191104 0.110334i
\(297\) 54.7933 308.309i 0.184489 1.03808i
\(298\) −14.0840 8.13138i −0.0472616 0.0272865i
\(299\) −150.713 + 87.0143i −0.504058 + 0.291018i
\(300\) −106.985 + 277.901i −0.356618 + 0.926337i
\(301\) −3.48002 + 98.8095i −0.0115615 + 0.328271i
\(302\) 5.09879 0.0168834
\(303\) −54.5619 + 6.35244i −0.180072 + 0.0209651i
\(304\) 92.9235 160.948i 0.305669 0.529435i
\(305\) 89.9305 + 310.517i 0.294854 + 1.01809i
\(306\) −2.05285 + 6.83457i −0.00670867 + 0.0223352i
\(307\) 433.637i 1.41250i −0.707963 0.706250i \(-0.750386\pi\)
0.707963 0.706250i \(-0.249614\pi\)
\(308\) 284.653 151.244i 0.924199 0.491052i
\(309\) 36.9700 85.5998i 0.119644 0.277022i
\(310\) 39.2034 + 9.66425i 0.126463 + 0.0311750i
\(311\) −310.113 179.044i −0.997148 0.575704i −0.0897451 0.995965i \(-0.528605\pi\)
−0.907403 + 0.420261i \(0.861939\pi\)
\(312\) 18.0198 + 24.2276i 0.0577559 + 0.0776527i
\(313\) 193.637 111.796i 0.618647 0.357176i −0.157695 0.987488i \(-0.550406\pi\)
0.776342 + 0.630312i \(0.217073\pi\)
\(314\) 7.90057i 0.0251610i
\(315\) 169.637 265.421i 0.538530 0.842606i
\(316\) −273.571 −0.865730
\(317\) 268.012 + 464.210i 0.845462 + 1.46438i 0.885219 + 0.465175i \(0.154008\pi\)
−0.0397565 + 0.999209i \(0.512658\pi\)
\(318\) 9.52683 7.08579i 0.0299586 0.0222824i
\(319\) 189.967 329.033i 0.595508 1.03145i
\(320\) 297.009 + 73.2174i 0.928154 + 0.228804i
\(321\) −502.534 217.041i −1.56553 0.676139i
\(322\) −15.1164 + 24.1752i −0.0469452 + 0.0750782i
\(323\) −54.7843 −0.169611
\(324\) −287.658 + 143.818i −0.887832 + 0.443883i
\(325\) 85.3488 162.591i 0.262612 0.500279i
\(326\) −31.6718 18.2857i −0.0971528 0.0560912i
\(327\) 11.8304 + 101.613i 0.0361785 + 0.310742i
\(328\) 96.9129i 0.295466i
\(329\) 171.540 + 322.853i 0.521399 + 0.981316i
\(330\) −11.5862 27.5723i −0.0351096 0.0835523i
\(331\) −107.615 186.394i −0.325120 0.563124i 0.656417 0.754398i \(-0.272071\pi\)
−0.981537 + 0.191274i \(0.938738\pi\)
\(332\) 71.2161 123.350i 0.214506 0.371536i
\(333\) −98.5617 417.542i −0.295981 1.25388i
\(334\) −0.993191 1.72026i −0.00297363 0.00515047i
\(335\) −71.5177 68.6985i −0.213486 0.205070i
\(336\) −296.868 140.812i −0.883535 0.419085i
\(337\) 203.340i 0.603381i 0.953406 + 0.301691i \(0.0975510\pi\)
−0.953406 + 0.301691i \(0.902449\pi\)
\(338\) 9.88928 + 17.1287i 0.0292582 + 0.0506767i
\(339\) −154.160 + 114.660i −0.454748 + 0.338229i
\(340\) −25.4712 87.9485i −0.0749154 0.258672i
\(341\) 471.796 272.392i 1.38357 0.798802i
\(342\) 12.5999 + 13.3792i 0.0368418 + 0.0391206i
\(343\) −341.089 36.1586i −0.994428 0.105419i
\(344\) 19.3539i 0.0562613i
\(345\) −283.053 214.906i −0.820443 0.622916i
\(346\) −0.335806 + 0.581633i −0.000970538 + 0.00168102i
\(347\) −9.76578 + 16.9148i −0.0281435 + 0.0487459i −0.879754 0.475429i \(-0.842293\pi\)
0.851611 + 0.524175i \(0.175626\pi\)
\(348\) −387.587 + 45.1253i −1.11376 + 0.129670i
\(349\) −19.4121 −0.0556219 −0.0278110 0.999613i \(-0.508854\pi\)
−0.0278110 + 0.999613i \(0.508854\pi\)
\(350\) −0.150457 30.0849i −0.000429876 0.0859569i
\(351\) 186.452 67.5776i 0.531203 0.192529i
\(352\) −82.0676 + 47.3817i −0.233146 + 0.134607i
\(353\) −160.280 + 277.612i −0.454050 + 0.786437i −0.998633 0.0522696i \(-0.983354\pi\)
0.544583 + 0.838707i \(0.316688\pi\)
\(354\) −0.389962 0.524303i −0.00110159 0.00148108i
\(355\) −57.6825 + 233.991i −0.162486 + 0.659131i
\(356\) 506.784i 1.42355i
\(357\) 7.80778 + 96.5413i 0.0218705 + 0.270424i
\(358\) 37.8575i 0.105747i
\(359\) −16.9213 + 9.76951i −0.0471345 + 0.0272131i −0.523382 0.852098i \(-0.675330\pi\)
0.476248 + 0.879311i \(0.341997\pi\)
\(360\) −31.3570 + 53.0926i −0.0871029 + 0.147480i
\(361\) 109.956 190.449i 0.304586 0.527558i
\(362\) 6.69236 + 11.5915i 0.0184872 + 0.0320207i
\(363\) −37.2048 16.0685i −0.102492 0.0442657i
\(364\) 173.094 + 108.233i 0.475532 + 0.297343i
\(365\) 448.694 + 431.007i 1.22930 + 1.18084i
\(366\) 3.85629 + 33.1222i 0.0105363 + 0.0904979i
\(367\) −369.737 213.468i −1.00746 0.581656i −0.0970116 0.995283i \(-0.530928\pi\)
−0.910446 + 0.413627i \(0.864262\pi\)
\(368\) −185.351 + 321.038i −0.503672 + 0.872385i
\(369\) −609.633 183.111i −1.65212 0.496237i
\(370\) −29.5502 28.3854i −0.0798654 0.0767172i
\(371\) 85.4357 136.635i 0.230285 0.368288i
\(372\) −513.652 221.843i −1.38079 0.596351i
\(373\) 194.156 112.096i 0.520525 0.300525i −0.216625 0.976255i \(-0.569505\pi\)
0.737149 + 0.675730i \(0.236171\pi\)
\(374\) 7.96400 + 4.59802i 0.0212941 + 0.0122942i
\(375\) 373.627 + 32.0556i 0.996340 + 0.0854816i
\(376\) −35.7826 61.9772i −0.0951664 0.164833i
\(377\) 240.623 0.638258
\(378\) 21.7813 24.1104i 0.0576225 0.0637842i
\(379\) 441.863 1.16586 0.582932 0.812521i \(-0.301905\pi\)
0.582932 + 0.812521i \(0.301905\pi\)
\(380\) −228.952 56.4403i −0.602506 0.148527i
\(381\) −236.326 317.739i −0.620277 0.833961i
\(382\) −35.3949 20.4353i −0.0926569 0.0534955i
\(383\) 71.4848 + 123.815i 0.186644 + 0.323277i 0.944129 0.329575i \(-0.106905\pi\)
−0.757485 + 0.652853i \(0.773572\pi\)
\(384\) 118.981 + 51.3869i 0.309846 + 0.133820i
\(385\) −282.663 291.333i −0.734191 0.756708i
\(386\) 36.2734i 0.0939726i
\(387\) −121.746 36.5681i −0.314590 0.0944912i
\(388\) 92.6766 + 53.5069i 0.238857 + 0.137904i
\(389\) 35.6423 + 20.5781i 0.0916256 + 0.0529000i 0.545113 0.838363i \(-0.316487\pi\)
−0.453487 + 0.891263i \(0.649820\pi\)
\(390\) 11.4539 15.0859i 0.0293689 0.0386818i
\(391\) 109.276 0.279479
\(392\) 66.9757 + 4.72356i 0.170856 + 0.0120499i
\(393\) 95.4565 221.019i 0.242892 0.562389i
\(394\) −32.5552 56.3872i −0.0826274 0.143115i
\(395\) 95.8367 + 330.910i 0.242624 + 0.837748i
\(396\) 95.2117 + 403.350i 0.240434 + 1.01856i
\(397\) 326.923 188.749i 0.823484 0.475439i −0.0281322 0.999604i \(-0.508956\pi\)
0.851617 + 0.524165i \(0.175623\pi\)
\(398\) 32.7436 0.0822704
\(399\) 225.372 + 106.900i 0.564842 + 0.267920i
\(400\) −15.7225 390.839i −0.0393063 0.977098i
\(401\) 81.6070 47.1158i 0.203509 0.117496i −0.394782 0.918775i \(-0.629180\pi\)
0.598291 + 0.801279i \(0.295847\pi\)
\(402\) −6.10471 8.20777i −0.0151858 0.0204173i
\(403\) 298.802 + 172.513i 0.741444 + 0.428073i
\(404\) 62.9596 36.3497i 0.155841 0.0899746i
\(405\) 274.733 + 297.568i 0.678354 + 0.734735i
\(406\) 34.8138 18.4975i 0.0857482 0.0455603i
\(407\) −552.850 −1.35835
\(408\) −2.19258 18.8324i −0.00537398 0.0461578i
\(409\) −264.873 + 458.773i −0.647611 + 1.12169i 0.336081 + 0.941833i \(0.390898\pi\)
−0.983692 + 0.179862i \(0.942435\pi\)
\(410\) −58.3954 + 16.9122i −0.142428 + 0.0412493i
\(411\) 53.9451 + 463.341i 0.131253 + 1.12735i
\(412\) 123.404i 0.299525i
\(413\) −7.51962 4.70190i −0.0182073 0.0113847i
\(414\) −25.1325 26.6871i −0.0607066 0.0644616i
\(415\) −174.152 42.9312i −0.419643 0.103449i
\(416\) −51.9757 30.0082i −0.124942 0.0721351i
\(417\) 316.087 235.097i 0.758002 0.563781i
\(418\) 20.5101 11.8415i 0.0490673 0.0283290i
\(419\) 208.590i 0.497828i −0.968526 0.248914i \(-0.919926\pi\)
0.968526 0.248914i \(-0.0800736\pi\)
\(420\) −66.8295 + 411.505i −0.159118 + 0.979775i
\(421\) −382.542 −0.908650 −0.454325 0.890836i \(-0.650120\pi\)
−0.454325 + 0.890836i \(0.650120\pi\)
\(422\) 4.89164 + 8.47256i 0.0115916 + 0.0200772i
\(423\) −457.479 + 107.989i −1.08151 + 0.255293i
\(424\) −15.7722 + 27.3183i −0.0371987 + 0.0644300i
\(425\) −97.4593 + 61.6199i −0.229316 + 0.144988i
\(426\) −9.85631 + 22.8212i −0.0231369 + 0.0535709i
\(427\) 212.358 + 399.675i 0.497326 + 0.936008i
\(428\) 724.474 1.69270
\(429\) −29.5548 253.850i −0.0688923 0.591725i
\(430\) −11.6618 + 3.37744i −0.0271205 + 0.00785450i
\(431\) −403.517 232.971i −0.936234 0.540535i −0.0474561 0.998873i \(-0.515111\pi\)
−0.888778 + 0.458338i \(0.848445\pi\)
\(432\) 271.982 323.246i 0.629587 0.748255i
\(433\) 769.033i 1.77606i 0.459788 + 0.888029i \(0.347926\pi\)
−0.459788 + 0.888029i \(0.652074\pi\)
\(434\) 56.4928 + 1.98965i 0.130168 + 0.00458444i
\(435\) 190.362 + 453.016i 0.437614 + 1.04142i
\(436\) −67.6953 117.252i −0.155265 0.268926i
\(437\) 140.713 243.721i 0.321997 0.557714i
\(438\) 38.3003 + 51.4946i 0.0874435 + 0.117568i
\(439\) −129.054 223.528i −0.293973 0.509176i 0.680773 0.732495i \(-0.261644\pi\)
−0.974745 + 0.223319i \(0.928311\pi\)
\(440\) 57.3042 + 55.0453i 0.130237 + 0.125103i
\(441\) 156.261 412.388i 0.354332 0.935120i
\(442\) 5.82412i 0.0131767i
\(443\) −202.227 350.267i −0.456493 0.790670i 0.542279 0.840198i \(-0.317561\pi\)
−0.998773 + 0.0495286i \(0.984228\pi\)
\(444\) 338.859 + 455.595i 0.763196 + 1.02612i
\(445\) −613.005 + 177.536i −1.37754 + 0.398956i
\(446\) 15.7160 9.07361i 0.0352376 0.0203444i
\(447\) 112.522 260.531i 0.251726 0.582844i
\(448\) 427.996 + 15.0738i 0.955348 + 0.0336469i
\(449\) 24.0690i 0.0536058i −0.999641 0.0268029i \(-0.991467\pi\)
0.999641 0.0268029i \(-0.00853266\pi\)
\(450\) 37.4634 + 9.62921i 0.0832519 + 0.0213982i
\(451\) −410.136 + 710.377i −0.909393 + 1.57511i
\(452\) 127.137 220.208i 0.281276 0.487185i
\(453\) 10.2896 + 88.3789i 0.0227144 + 0.195097i
\(454\) 66.4833 0.146439
\(455\) 70.2803 247.289i 0.154462 0.543493i
\(456\) −44.8257 19.3599i −0.0983019 0.0424559i
\(457\) 183.663 106.038i 0.401888 0.232030i −0.285410 0.958405i \(-0.592130\pi\)
0.687298 + 0.726375i \(0.258796\pi\)
\(458\) 2.42252 4.19592i 0.00528934 0.00916140i
\(459\) −122.609 21.7902i −0.267121 0.0474733i
\(460\) 456.683 + 112.579i 0.992789 + 0.244738i
\(461\) 315.604i 0.684608i 0.939589 + 0.342304i \(0.111207\pi\)
−0.939589 + 0.342304i \(0.888793\pi\)
\(462\) −23.7903 34.4555i −0.0514942 0.0745790i
\(463\) 612.544i 1.32299i −0.749950 0.661495i \(-0.769922\pi\)
0.749950 0.661495i \(-0.230078\pi\)
\(464\) 443.887 256.278i 0.956654 0.552324i
\(465\) −88.3989 + 699.028i −0.190105 + 1.50329i
\(466\) −29.4003 + 50.9229i −0.0630909 + 0.109277i
\(467\) −201.374 348.790i −0.431208 0.746874i 0.565770 0.824563i \(-0.308579\pi\)
−0.996978 + 0.0776892i \(0.975246\pi\)
\(468\) −191.079 + 179.948i −0.408288 + 0.384505i
\(469\) −117.717 73.6064i −0.250995 0.156943i
\(470\) −31.1004 + 32.3766i −0.0661710 + 0.0688864i
\(471\) −136.943 + 15.9438i −0.290749 + 0.0338509i
\(472\) 1.50344 + 0.868014i 0.00318526 + 0.00183901i
\(473\) −81.9059 + 141.865i −0.173163 + 0.299926i
\(474\) 4.10956 + 35.2975i 0.00866995 + 0.0744673i
\(475\) 11.9360 + 296.712i 0.0251285 + 0.624657i
\(476\) −60.1467 113.201i −0.126359 0.237817i
\(477\) 142.046 + 150.832i 0.297790 + 0.316210i
\(478\) 15.7203 9.07612i 0.0328877 0.0189877i
\(479\) 232.441 + 134.200i 0.485263 + 0.280167i 0.722607 0.691259i \(-0.242944\pi\)
−0.237344 + 0.971426i \(0.576277\pi\)
\(480\) 15.3767 121.594i 0.0320348 0.253321i
\(481\) −175.068 303.226i −0.363967 0.630408i
\(482\) −3.27870 −0.00680229
\(483\) −449.542 213.230i −0.930728 0.441470i
\(484\) 53.6359 0.110818
\(485\) 32.2555 130.846i 0.0665062 0.269785i
\(486\) 22.8773 + 34.9546i 0.0470726 + 0.0719231i
\(487\) −60.9309 35.1785i −0.125115 0.0722351i 0.436136 0.899881i \(-0.356347\pi\)
−0.561251 + 0.827645i \(0.689680\pi\)
\(488\) −44.2970 76.7247i −0.0907726 0.157223i
\(489\) 253.037 585.879i 0.517458 1.19812i
\(490\) −8.84168 41.1809i −0.0180442 0.0840427i
\(491\) 573.554i 1.16814i 0.811705 + 0.584068i \(0.198540\pi\)
−0.811705 + 0.584068i \(0.801460\pi\)
\(492\) 836.796 97.4250i 1.70080 0.198018i
\(493\) −130.850 75.5461i −0.265415 0.153238i
\(494\) 12.9897 + 7.49958i 0.0262948 + 0.0151813i
\(495\) 454.537 256.469i 0.918257 0.518119i
\(496\) 734.950 1.48175
\(497\) −11.8755 + 337.186i −0.0238944 + 0.678443i
\(498\) −16.9851 7.33572i −0.0341065 0.0147304i
\(499\) −19.6456 34.0272i −0.0393700 0.0681909i 0.845669 0.533708i \(-0.179202\pi\)
−0.885039 + 0.465517i \(0.845868\pi\)
\(500\) −470.781 + 157.114i −0.941561 + 0.314228i
\(501\) 27.8135 20.6869i 0.0555159 0.0412911i
\(502\) −33.1097 + 19.1159i −0.0659556 + 0.0380795i
\(503\) 377.200 0.749901 0.374951 0.927045i \(-0.377660\pi\)
0.374951 + 0.927045i \(0.377660\pi\)
\(504\) −27.7276 + 81.7513i −0.0550152 + 0.162205i
\(505\) −66.0244 63.4218i −0.130741 0.125588i
\(506\) −40.9108 + 23.6199i −0.0808515 + 0.0466796i
\(507\) −276.940 + 205.981i −0.546234 + 0.406273i
\(508\) 453.871 + 262.043i 0.893447 + 0.515832i
\(509\) −581.066 + 335.479i −1.14158 + 0.659094i −0.946822 0.321757i \(-0.895727\pi\)
−0.194762 + 0.980851i \(0.562393\pi\)
\(510\) −10.9649 + 4.60758i −0.0214999 + 0.00903448i
\(511\) 738.542 + 461.799i 1.44529 + 0.903716i
\(512\) −213.599 −0.417186
\(513\) −206.479 + 245.398i −0.402494 + 0.478358i
\(514\) 31.3140 54.2374i 0.0609221 0.105520i
\(515\) 149.270 43.2307i 0.289844 0.0839432i
\(516\) 167.112 19.4562i 0.323860 0.0377058i
\(517\) 605.729i 1.17162i
\(518\) −48.6391 30.4133i −0.0938979 0.0587129i
\(519\) −10.7593 4.64686i −0.0207308 0.00895350i
\(520\) −12.0450 + 48.8610i −0.0231635 + 0.0939635i
\(521\) 663.160 + 382.876i 1.27286 + 0.734886i 0.975525 0.219887i \(-0.0705689\pi\)
0.297335 + 0.954773i \(0.403902\pi\)
\(522\) 11.6446 + 49.3307i 0.0223077 + 0.0945032i
\(523\) 169.809 98.0393i 0.324683 0.187456i −0.328795 0.944401i \(-0.606643\pi\)
0.653478 + 0.756946i \(0.273309\pi\)
\(524\) 318.630i 0.608073i
\(525\) 521.167 63.3208i 0.992700 0.120611i
\(526\) 62.3096 0.118459
\(527\) −108.325 187.624i −0.205550 0.356023i
\(528\) −324.887 436.810i −0.615316 0.827292i
\(529\) −16.1743 + 28.0146i −0.0305752 + 0.0529577i
\(530\) 19.2132 + 4.73635i 0.0362513 + 0.00893651i
\(531\) 8.30094 7.81740i 0.0156327 0.0147220i
\(532\) −329.924 11.6198i −0.620159 0.0218417i
\(533\) −519.502 −0.974676
\(534\) −65.3879 + 7.61287i −0.122449 + 0.0142563i
\(535\) −253.796 876.322i −0.474385 1.63798i
\(536\) 23.5359 + 13.5884i 0.0439102 + 0.0253516i
\(537\) −656.195 + 76.3983i −1.22197 + 0.142269i
\(538\) 54.4215i 0.101155i
\(539\) −470.946 318.066i −0.873740 0.590104i
\(540\) −489.952 217.380i −0.907318 0.402555i
\(541\) −422.140 731.167i −0.780295 1.35151i −0.931770 0.363050i \(-0.881736\pi\)
0.151475 0.988461i \(-0.451598\pi\)
\(542\) −4.26710 + 7.39083i −0.00787288 + 0.0136362i
\(543\) −187.414 + 139.393i −0.345145 + 0.256709i
\(544\) 18.8428 + 32.6367i 0.0346375 + 0.0599938i
\(545\) −118.113 + 122.959i −0.216720 + 0.225614i
\(546\) 11.3646 23.9593i 0.0208142 0.0438815i
\(547\) 160.122i 0.292727i −0.989231 0.146363i \(-0.953243\pi\)
0.989231 0.146363i \(-0.0467569\pi\)
\(548\) −308.683 534.654i −0.563290 0.975647i
\(549\) −566.335 + 133.685i −1.03158 + 0.243506i
\(550\) 23.1678 44.1349i 0.0421232 0.0802453i
\(551\) −336.985 + 194.558i −0.611587 + 0.353100i
\(552\) 89.4122 + 38.6165i 0.161979 + 0.0699574i
\(553\) 226.305 + 425.924i 0.409231 + 0.770206i
\(554\) 18.9395i 0.0341868i
\(555\) 432.379 569.486i 0.779061 1.02610i
\(556\) −260.680 + 451.511i −0.468849 + 0.812070i
\(557\) −142.397 + 246.638i −0.255649 + 0.442797i −0.965072 0.261986i \(-0.915623\pi\)
0.709422 + 0.704784i \(0.248956\pi\)
\(558\) −20.9073 + 69.6066i −0.0374682 + 0.124743i
\(559\) −103.747 −0.185593
\(560\) −133.730 531.038i −0.238803 0.948282i
\(561\) −63.6271 + 147.322i −0.113417 + 0.262605i
\(562\) 59.5905 34.4046i 0.106033 0.0612181i
\(563\) 90.7228 157.136i 0.161142 0.279106i −0.774137 0.633018i \(-0.781816\pi\)
0.935278 + 0.353913i \(0.115149\pi\)
\(564\) 499.172 371.270i 0.885057 0.658280i
\(565\) −310.901 76.6419i −0.550267 0.135649i
\(566\) 55.0038i 0.0971799i
\(567\) 461.869 + 328.886i 0.814584 + 0.580046i
\(568\) 66.0449i 0.116276i
\(569\) −350.000 + 202.073i −0.615115 + 0.355137i −0.774965 0.632005i \(-0.782232\pi\)
0.159850 + 0.987141i \(0.448899\pi\)
\(570\) −3.84292 + 30.3885i −0.00674196 + 0.0533131i
\(571\) 369.018 639.158i 0.646267 1.11937i −0.337741 0.941239i \(-0.609663\pi\)
0.984007 0.178127i \(-0.0570039\pi\)
\(572\) 169.118 + 292.920i 0.295660 + 0.512099i
\(573\) 282.782 654.751i 0.493511 1.14267i
\(574\) −75.1624 + 39.9358i −0.130945 + 0.0695746i
\(575\) −23.8084 591.841i −0.0414059 1.02929i
\(576\) −158.396 + 527.347i −0.274992 + 0.915533i
\(577\) −569.531 328.819i −0.987056 0.569877i −0.0826627 0.996578i \(-0.526342\pi\)
−0.904393 + 0.426701i \(0.859676\pi\)
\(578\) −23.0133 + 39.8602i −0.0398154 + 0.0689623i
\(579\) 628.739 73.2017i 1.08590 0.126428i
\(580\) −469.013 450.525i −0.808642 0.776767i
\(581\) −250.956 8.83855i −0.431938 0.0152126i
\(582\) 5.51155 12.7614i 0.00947002 0.0219268i
\(583\) 231.223 133.496i 0.396608 0.228982i
\(584\) −147.661 85.2524i −0.252845 0.145980i
\(585\) 284.603 + 168.090i 0.486501 + 0.287333i
\(586\) −28.2560 48.9409i −0.0482185 0.0835168i
\(587\) 339.097 0.577679 0.288839 0.957378i \(-0.406731\pi\)
0.288839 + 0.957378i \(0.406731\pi\)
\(588\) 26.5440 + 583.051i 0.0451428 + 0.991584i
\(589\) −557.949 −0.947283
\(590\) 0.260662 1.05739i 0.000441800 0.00179218i
\(591\) 911.679 678.081i 1.54260 1.14735i
\(592\) −645.910 372.916i −1.09106 0.629926i
\(593\) 163.991 + 284.041i 0.276545 + 0.478990i 0.970524 0.241006i \(-0.0774772\pi\)
−0.693979 + 0.719995i \(0.744144\pi\)
\(594\) 50.6121 18.3438i 0.0852056 0.0308818i
\(595\) −115.857 + 112.410i −0.194718 + 0.188924i
\(596\) 375.593i 0.630190i
\(597\) 66.0783 + 567.555i 0.110684 + 0.950678i
\(598\) −25.9100 14.9591i −0.0433278 0.0250153i
\(599\) −726.655 419.534i −1.21311 0.700391i −0.249677 0.968329i \(-0.580324\pi\)
−0.963436 + 0.267938i \(0.913658\pi\)
\(600\) −101.519 + 15.9781i −0.169198 + 0.0266302i
\(601\) 347.260 0.577804 0.288902 0.957359i \(-0.406710\pi\)
0.288902 + 0.957359i \(0.406710\pi\)
\(602\) −15.0102 + 7.97534i −0.0249340 + 0.0132481i
\(603\) 129.948 122.378i 0.215503 0.202949i
\(604\) −58.8790 101.981i −0.0974818 0.168843i
\(605\) −18.7896 64.8779i −0.0310572 0.107236i
\(606\) −5.63581 7.57733i −0.00930001 0.0125038i
\(607\) −277.758 + 160.363i −0.457591 + 0.264190i −0.711031 0.703161i \(-0.751771\pi\)
0.253440 + 0.967351i \(0.418438\pi\)
\(608\) 97.0537 0.159628
\(609\) 390.878 + 566.109i 0.641837 + 0.929571i
\(610\) −38.5007 + 40.0806i −0.0631159 + 0.0657059i
\(611\) −332.229 + 191.813i −0.543747 + 0.313932i
\(612\) 160.405 37.8638i 0.262099 0.0618690i
\(613\) 220.529 + 127.323i 0.359754 + 0.207704i 0.668973 0.743287i \(-0.266734\pi\)
−0.309219 + 0.950991i \(0.600068\pi\)
\(614\) 64.5615 37.2746i 0.105149 0.0607078i
\(615\) −410.989 978.056i −0.668275 1.59034i
\(616\) 94.3217 + 58.9779i 0.153120 + 0.0957433i
\(617\) −126.508 −0.205037 −0.102519 0.994731i \(-0.532690\pi\)
−0.102519 + 0.994731i \(0.532690\pi\)
\(618\) 15.9223 1.85377i 0.0257642 0.00299963i
\(619\) 183.100 317.138i 0.295799 0.512339i −0.679372 0.733794i \(-0.737748\pi\)
0.975170 + 0.221456i \(0.0710808\pi\)
\(620\) −259.411 895.710i −0.418405 1.44469i
\(621\) 411.857 489.486i 0.663216 0.788222i
\(622\) 61.5610i 0.0989727i
\(623\) −789.016 + 419.225i −1.26648 + 0.672914i
\(624\) 136.701 316.516i 0.219072 0.507237i
\(625\) 354.968 + 514.415i 0.567948 + 0.823064i
\(626\) 33.2892 + 19.2195i 0.0531777 + 0.0307021i
\(627\) 246.643 + 331.612i 0.393371 + 0.528886i
\(628\) 158.020 91.2329i 0.251624 0.145275i
\(629\) 219.858i 0.349535i
\(630\) 54.0985 + 2.44109i 0.0858706 + 0.00387475i
\(631\) 66.0739 0.104713 0.0523565 0.998628i \(-0.483327\pi\)
0.0523565 + 0.998628i \(0.483327\pi\)
\(632\) −47.2062 81.7636i −0.0746934 0.129373i
\(633\) −136.986 + 101.886i −0.216408 + 0.160958i
\(634\) −46.0755 + 79.8050i −0.0726742 + 0.125875i
\(635\) 157.967 640.800i 0.248767 1.00913i
\(636\) −251.736 108.723i −0.395811 0.170948i
\(637\) 25.3207 359.024i 0.0397499 0.563617i
\(638\) 65.3167 0.102377
\(639\) −415.457 124.788i −0.650168 0.195287i
\(640\) 60.0892 + 207.479i 0.0938893 + 0.324187i
\(641\) 803.605 + 463.961i 1.25367 + 0.723809i 0.971837 0.235654i \(-0.0757231\pi\)
0.281837 + 0.959462i \(0.409056\pi\)
\(642\) −10.8830 93.4754i −0.0169517 0.145600i
\(643\) 455.224i 0.707968i −0.935251 0.353984i \(-0.884827\pi\)
0.935251 0.353984i \(-0.115173\pi\)
\(644\) 658.089 + 23.1775i 1.02188 + 0.0359900i
\(645\) −82.0763 195.322i −0.127250 0.302825i
\(646\) −4.70914 8.15648i −0.00728970 0.0126261i
\(647\) 321.902 557.551i 0.497530 0.861747i −0.502466 0.864597i \(-0.667574\pi\)
0.999996 + 0.00284968i \(0.000907083\pi\)
\(648\) −92.6206 61.1571i −0.142933 0.0943783i
\(649\) −7.34689 12.7252i −0.0113203 0.0196074i
\(650\) 31.5435 1.26892i 0.0485284 0.00195218i
\(651\) 79.5183 + 983.223i 0.122148 + 1.51033i
\(652\) 844.628i 1.29544i
\(653\) −285.108 493.822i −0.436613 0.756236i 0.560813 0.827943i \(-0.310489\pi\)
−0.997426 + 0.0717069i \(0.977155\pi\)
\(654\) −14.1115 + 10.4958i −0.0215772 + 0.0160485i
\(655\) 385.414 111.622i 0.588419 0.170415i
\(656\) −958.347 + 553.302i −1.46089 + 0.843448i
\(657\) −815.280 + 767.789i −1.24091 + 1.16863i
\(658\) −33.3222 + 53.2913i −0.0506417 + 0.0809899i
\(659\) 629.009i 0.954491i −0.878770 0.477245i \(-0.841635\pi\)
0.878770 0.477245i \(-0.158365\pi\)
\(660\) −417.683 + 550.130i −0.632853 + 0.833531i
\(661\) −199.704 + 345.897i −0.302124 + 0.523294i −0.976617 0.214987i \(-0.931029\pi\)
0.674493 + 0.738281i \(0.264362\pi\)
\(662\) 18.5007 32.0441i 0.0279466 0.0484050i
\(663\) −100.951 + 11.7534i −0.152264 + 0.0177275i
\(664\) 49.1550 0.0740286
\(665\) 101.523 + 403.146i 0.152666 + 0.606235i
\(666\) 53.6930 50.5653i 0.0806201 0.0759238i
\(667\) 672.171 388.078i 1.00775 0.581826i
\(668\) −22.9380 + 39.7298i −0.0343384 + 0.0594758i
\(669\) 188.991 + 254.098i 0.282498 + 0.379818i
\(670\) 4.08057 16.5530i 0.00609040 0.0247059i
\(671\) 749.861i 1.11753i
\(672\) −13.8320 171.029i −0.0205833 0.254507i
\(673\) 1005.37i 1.49387i 0.664900 + 0.746933i \(0.268474\pi\)
−0.664900 + 0.746933i \(0.731526\pi\)
\(674\) −30.2739 + 17.4787i −0.0449168 + 0.0259327i
\(675\) −91.3030 + 668.797i −0.135264 + 0.990810i
\(676\) 228.396 395.593i 0.337863 0.585196i
\(677\) 134.300 + 232.614i 0.198375 + 0.343595i 0.948002 0.318266i \(-0.103100\pi\)
−0.749627 + 0.661861i \(0.769767\pi\)
\(678\) −30.3222 13.0959i −0.0447230 0.0193155i
\(679\) 6.64067 188.551i 0.00978008 0.277689i
\(680\) 21.8904 22.7887i 0.0321918 0.0335129i
\(681\) 134.167 + 1152.37i 0.197014 + 1.69218i
\(682\) 81.1093 + 46.8285i 0.118929 + 0.0686634i
\(683\) 158.562 274.638i 0.232156 0.402105i −0.726287 0.687392i \(-0.758755\pi\)
0.958442 + 0.285287i \(0.0920888\pi\)
\(684\) 122.101 406.510i 0.178510 0.594313i
\(685\) −538.580 + 560.681i −0.786247 + 0.818512i
\(686\) −23.9359 53.8906i −0.0348920 0.0785578i
\(687\) 77.6180 + 33.5226i 0.112981 + 0.0487957i
\(688\) −191.386 + 110.497i −0.278177 + 0.160606i
\(689\) 146.440 + 84.5471i 0.212540 + 0.122710i
\(690\) 7.66533 60.6148i 0.0111092 0.0878475i
\(691\) 449.553 + 778.648i 0.650583 + 1.12684i 0.982982 + 0.183704i \(0.0588087\pi\)
−0.332399 + 0.943139i \(0.607858\pi\)
\(692\) 15.5111 0.0224148
\(693\) 549.217 481.898i 0.792522 0.695379i
\(694\) −3.35779 −0.00483831
\(695\) 637.467 + 157.146i 0.917219 + 0.226109i
\(696\) −80.3673 108.054i −0.115470 0.155250i
\(697\) 282.503 + 163.103i 0.405313 + 0.234007i
\(698\) −1.66862 2.89014i −0.00239057 0.00414060i
\(699\) −941.994 406.840i −1.34763 0.582032i
\(700\) −599.994 + 350.419i −0.857134 + 0.500598i
\(701\) 430.110i 0.613566i −0.951779 0.306783i \(-0.900747\pi\)
0.951779 0.306783i \(-0.0992526\pi\)
\(702\) 26.0882 + 21.9508i 0.0371627 + 0.0312690i
\(703\) 490.353 + 283.106i 0.697515 + 0.402711i
\(704\) 614.492 + 354.777i 0.872859 + 0.503945i
\(705\) −623.956 473.735i −0.885044 0.671964i
\(706\) −55.1092 −0.0780584
\(707\) −108.675 67.9528i −0.153713 0.0961143i
\(708\) −5.98349 + 13.8541i −0.00845126 + 0.0195680i
\(709\) 354.562 + 614.119i 0.500087 + 0.866176i 1.00000 0.000100361i \(3.19460e-5\pi\)
−0.499913 + 0.866076i \(0.666635\pi\)
\(710\) −39.7958 + 11.5255i −0.0560504 + 0.0162330i
\(711\) −603.529 + 142.464i −0.848846 + 0.200372i
\(712\) 151.465 87.4486i 0.212732 0.122821i
\(713\) 1112.92 1.56090
\(714\) −13.7023 + 9.46094i −0.0191908 + 0.0132506i
\(715\) 295.071 307.180i 0.412687 0.429622i
\(716\) 757.191 437.164i 1.05753 0.610565i
\(717\) 189.044 + 254.169i 0.263659 + 0.354489i
\(718\) −2.90904 1.67953i −0.00405159 0.00233918i
\(719\) 740.112 427.304i 1.02936 0.594303i 0.112561 0.993645i \(-0.464095\pi\)
0.916802 + 0.399342i \(0.130761\pi\)
\(720\) 704.045 + 6.96155i 0.977840 + 0.00966882i
\(721\) 192.129 102.083i 0.266476 0.141586i
\(722\) 37.8062 0.0523632
\(723\) −6.61659 56.8308i −0.00915158 0.0786041i
\(724\) 154.562 267.709i 0.213483 0.369764i
\(725\) −380.650 + 725.143i −0.525035 + 1.00020i
\(726\) −0.805715 6.92039i −0.00110980 0.00953222i
\(727\) 1136.87i 1.56378i −0.623413 0.781892i \(-0.714255\pi\)
0.623413 0.781892i \(-0.285745\pi\)
\(728\) −2.47979 + 70.4096i −0.00340631 + 0.0967165i
\(729\) −559.712 + 467.080i −0.767781 + 0.640713i
\(730\) −25.6010 + 103.852i −0.0350699 + 0.142263i
\(731\) 56.4170 + 32.5724i 0.0771778 + 0.0445586i
\(732\) 617.949 459.613i 0.844193 0.627887i
\(733\) 158.068 91.2606i 0.215645 0.124503i −0.388287 0.921539i \(-0.626933\pi\)
0.603932 + 0.797036i \(0.293600\pi\)
\(734\) 73.3970i 0.0999960i
\(735\) 695.959 236.361i 0.946883 0.321579i
\(736\) −193.590 −0.263029
\(737\) −115.013 199.208i −0.156055 0.270296i
\(738\) −25.1406 106.504i −0.0340658 0.144315i
\(739\) −692.467 + 1199.39i −0.937032 + 1.62299i −0.166063 + 0.986115i \(0.553105\pi\)
−0.770969 + 0.636872i \(0.780228\pi\)
\(740\) −226.503 + 918.820i −0.306086 + 1.24165i
\(741\) −103.779 + 240.288i −0.140052 + 0.324276i
\(742\) 27.6866 + 0.975107i 0.0373135 + 0.00131416i
\(743\) −82.8544 −0.111513 −0.0557566 0.998444i \(-0.517757\pi\)
−0.0557566 + 0.998444i \(0.517757\pi\)
\(744\) −22.3303 191.798i −0.0300139 0.257793i
\(745\) 454.316 131.577i 0.609821 0.176613i
\(746\) 33.3785 + 19.2711i 0.0447432 + 0.0258325i
\(747\) 92.8756 309.211i 0.124331 0.413937i
\(748\) 212.385i 0.283937i
\(749\) −599.304 1127.94i −0.800139 1.50593i
\(750\) 27.3437 + 58.3824i 0.0364583 + 0.0778432i
\(751\) −193.183 334.603i −0.257234 0.445543i 0.708266 0.705946i \(-0.249478\pi\)
−0.965500 + 0.260403i \(0.916145\pi\)
\(752\) −408.585 + 707.689i −0.543331 + 0.941076i
\(753\) −398.159 535.324i −0.528764 0.710922i
\(754\) 20.6835 + 35.8248i 0.0274317 + 0.0475130i
\(755\) −102.730 + 106.946i −0.136066 + 0.141650i
\(756\) −733.757 157.232i −0.970578 0.207978i
\(757\) 1387.66i 1.83311i −0.399908 0.916555i \(-0.630958\pi\)
0.399908 0.916555i \(-0.369042\pi\)
\(758\) 37.9816 + 65.7861i 0.0501077 + 0.0867891i
\(759\) −491.971 661.454i −0.648183 0.871481i
\(760\) −22.6384 78.1673i −0.0297874 0.102852i
\(761\) 500.579 289.009i 0.657791 0.379776i −0.133644 0.991029i \(-0.542668\pi\)
0.791435 + 0.611254i \(0.209334\pi\)
\(762\) 26.9921 62.4972i 0.0354227 0.0820173i
\(763\) −126.551 + 202.389i −0.165859 + 0.265254i
\(764\) 943.916i 1.23549i