Properties

Label 105.3.o.b.74.9
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 74.9
Character \(\chi\) \(=\) 105.74
Dual form 105.3.o.b.44.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0859580 - 0.148884i) q^{2} +(0.346935 - 2.97987i) q^{3} +(1.98522 - 3.43851i) q^{4} +(4.85467 + 1.19675i) q^{5} +(-0.473476 + 0.204491i) q^{6} +(-6.99566 - 0.246384i) q^{7} -1.37025 q^{8} +(-8.75927 - 2.06764i) q^{9} +O(q^{10})\) \(q+(-0.0859580 - 0.148884i) q^{2} +(0.346935 - 2.97987i) 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} +(-8.75927 - 2.06764i) q^{9} +(-0.239121 - 0.825650i) q^{10} +(10.0440 + 5.79890i) q^{11} +(-9.55756 - 7.10865i) q^{12} -7.34521i q^{13} +(0.564650 + 1.06272i) q^{14} +(5.25042 - 14.0511i) q^{15} +(-7.82311 - 13.5500i) q^{16} +(2.30611 - 3.99429i) q^{17} +(0.445091 + 1.48184i) q^{18} +(5.93904 + 10.2867i) q^{19} +(13.7526 - 14.3170i) q^{20} +(-3.16123 + 20.7607i) q^{21} -1.99385i q^{22} +(11.8464 + 20.5186i) q^{23} +(-0.475387 + 4.08316i) 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} +(-2.54329 + 0.426102i) q^{30} +(-23.4865 + 40.6798i) q^{31} +(-4.08541 + 7.07614i) q^{32} +(20.7646 - 27.9179i) 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} +(-21.8878 - 2.54831i) q^{39} +(-6.65209 - 1.63984i) q^{40} +70.7266i q^{41} +(3.36266 - 1.31389i) q^{42} -14.1244i q^{43} +(39.8791 - 23.0242i) q^{44} +(-40.0489 - 20.5204i) 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} +(-11.1024 - 8.25766i) q^{51} +(-25.2566 - 14.5819i) q^{52} +(11.5105 - 19.9368i) q^{53} +(4.57012 - 0.812210i) 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} +(-37.8915 - 45.9481i) q^{60} +(-32.3278 - 55.9933i) q^{61} +8.07541 q^{62} +(60.7675 + 16.6227i) q^{63} -61.1802 q^{64} +(8.79039 - 35.6586i) q^{65} +(-5.94140 - 0.691735i) 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} +(12.0024 + 2.83318i) q^{72} +(-107.763 - 62.2168i) q^{73} +(-7.09706 - 4.09749i) q^{74} +(42.3047 - 61.9299i) 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} +(72.4497 + 36.2221i) q^{81} +(10.5300 - 6.07951i) q^{82} -35.8731 q^{83} +(65.1100 + 52.0845i) q^{84} +(15.9756 - 16.6311i) q^{85} +(-2.10289 + 1.21410i) q^{86} +(-97.6181 - 11.3653i) q^{87} +(-13.7627 - 7.94592i) q^{88} +(-110.539 + 63.8196i) q^{89} +(0.387373 + 7.72651i) q^{90} +(-1.80974 + 51.3846i) q^{91} +94.0709 q^{92} +(113.072 + 84.1000i) q^{93} +(4.48941 - 7.77588i) q^{94} +(16.5214 + 57.0462i) q^{95} +(19.6686 + 14.6290i) 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 0.843736 0.536759i \(-0.180352\pi\)
−0.886715 + 0.462317i \(0.847018\pi\)
\(3\) 0.346935 2.97987i 0.115645 0.993291i
\(4\) 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
\(9\) −8.75927 2.06764i −0.973252 0.229738i
\(10\) −0.239121 0.825650i −0.0239121 0.0825650i
\(11\) 10.0440 + 5.79890i 0.913089 + 0.527172i 0.881424 0.472326i \(-0.156586\pi\)
0.0316655 + 0.999499i \(0.489919\pi\)
\(12\) −9.55756 7.10865i −0.796464 0.592387i
\(13\) 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
\(15\) 5.25042 14.0511i 0.350028 0.936739i
\(16\) −7.82311 13.5500i −0.488944 0.846876i
\(17\) 2.30611 3.99429i 0.135653 0.234958i −0.790194 0.612857i \(-0.790020\pi\)
0.925847 + 0.377899i \(0.123353\pi\)
\(18\) 0.445091 + 1.48184i 0.0247273 + 0.0823246i
\(19\) 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
\(21\) −3.16123 + 20.7607i −0.150535 + 0.988605i
\(22\) 1.99385i 0.0906293i
\(23\) 11.8464 + 20.5186i 0.515061 + 0.892111i 0.999847 + 0.0174789i \(0.00556398\pi\)
−0.484786 + 0.874633i \(0.661103\pi\)
\(24\) −0.475387 + 4.08316i −0.0198078 + 0.170132i
\(25\) 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 \(-0.808948\pi\)
0.825219 0.564813i \(-0.191052\pi\)
\(30\) −2.54329 + 0.426102i −0.0847764 + 0.0142034i
\(31\) −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
\(33\) 20.7646 27.9179i 0.629230 0.845998i
\(34\) −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
\(39\) −21.8878 2.54831i −0.561226 0.0653414i
\(40\) −6.65209 1.63984i −0.166302 0.0409961i
\(41\) 70.7266i 1.72504i 0.506024 + 0.862520i \(0.331115\pi\)
−0.506024 + 0.862520i \(0.668885\pi\)
\(42\) 3.36266 1.31389i 0.0800633 0.0312831i
\(43\) 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
\(45\) −40.0489 20.5204i −0.889975 0.456009i
\(46\) 2.03658 3.52747i 0.0442736 0.0766841i
\(47\) 26.1140 + 45.2307i 0.555616 + 0.962356i 0.997855 + 0.0654585i \(0.0208510\pi\)
−0.442239 + 0.896897i \(0.645816\pi\)
\(48\) −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
\(51\) −11.1024 8.25766i −0.217694 0.161915i
\(52\) −25.2566 14.5819i −0.485703 0.280421i
\(53\) 11.5105 19.9368i 0.217179 0.376166i −0.736765 0.676149i \(-0.763648\pi\)
0.953945 + 0.299983i \(0.0969810\pi\)
\(54\) 4.57012 0.812210i 0.0846318 0.0150409i
\(55\) 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 0.490673 0.871344i \(-0.336751\pi\)
−0.509270 + 0.860607i \(0.670084\pi\)
\(60\) −37.8915 45.9481i −0.631525 0.765802i
\(61\) −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
\(63\) 60.7675 + 16.6227i 0.964563 + 0.263852i
\(64\) −61.1802 −0.955940
\(65\) 8.79039 35.6586i 0.135237 0.548593i
\(66\) −5.94140 0.691735i −0.0900213 0.0104808i
\(67\) 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 \(0.110235\pi\)
−0.940631 + 0.339432i \(0.889765\pi\)
\(72\) 12.0024 + 2.83318i 0.166699 + 0.0393498i
\(73\) −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
\(75\) 42.3047 61.9299i 0.564062 0.825732i
\(76\) 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
\(81\) 72.4497 + 36.2221i 0.894441 + 0.447187i
\(82\) 10.5300 6.07951i 0.128415 0.0741404i
\(83\) −35.8731 −0.432206 −0.216103 0.976371i \(-0.569335\pi\)
−0.216103 + 0.976371i \(0.569335\pi\)
\(84\) 65.1100 + 52.0845i 0.775120 + 0.620054i
\(85\) 15.9756 16.6311i 0.187948 0.195660i
\(86\) −2.10289 + 1.21410i −0.0244522 + 0.0141175i
\(87\) −97.6181 11.3653i −1.12205 0.130636i
\(88\) −13.7627 7.94592i −0.156395 0.0902945i
\(89\) −110.539 + 63.8196i −1.24201 + 0.717074i −0.969503 0.245080i \(-0.921186\pi\)
−0.272506 + 0.962154i \(0.587852\pi\)
\(90\) 0.387373 + 7.72651i 0.00430414 + 0.0858501i
\(91\) −1.80974 + 51.3846i −0.0198873 + 0.564666i
\(92\) 94.0709 1.02251
\(93\) 113.072 + 84.1000i 1.21583 + 0.904302i
\(94\) 4.48941 7.77588i 0.0477597 0.0827221i
\(95\) 16.5214 + 57.0462i 0.173910 + 0.600486i
\(96\) 19.6686 + 14.6290i 0.204881 + 0.152385i
\(97\) 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 0.419441 0.907782i \(-0.362226\pi\)
−0.576442 + 0.817138i \(0.695559\pi\)
\(102\) −0.275089 + 2.36278i −0.00269695 + 0.0231645i
\(103\) −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
\(105\) −40.1921 + 97.0031i −0.382782 + 0.923839i
\(106\) −3.95768 −0.0373366
\(107\) −91.2333 158.021i −0.852648 1.47683i −0.878810 0.477172i \(-0.841662\pi\)
0.0261619 0.999658i \(-0.491671\pi\)
\(108\) 69.0191 + 82.0282i 0.639066 + 0.759521i
\(109\) 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 \(-0.591453\pi\)
−0.283370 + 0.959011i \(0.591453\pi\)
\(114\) −4.91553 3.65603i −0.0431187 0.0320705i
\(115\) 32.9547 + 113.788i 0.286563 + 0.989461i
\(116\) −112.643 65.0342i −0.971057 0.560640i
\(117\) −15.1873 + 64.3387i −0.129806 + 0.549904i
\(118\) 0.217808i 0.00184583i
\(119\) −17.1169 + 27.3745i −0.143839 + 0.230038i
\(120\) −7.19437 + 19.2535i −0.0599530 + 0.160445i
\(121\) 6.75440 + 11.6990i 0.0558215 + 0.0966857i
\(122\) −5.55766 + 9.62615i −0.0455546 + 0.0789028i
\(123\) 210.756 + 24.5375i 1.71347 + 0.199492i
\(124\) 93.2519 + 161.517i 0.752031 + 1.30256i
\(125\) 93.5550 + 82.9003i 0.748440 + 0.663202i
\(126\) −2.74860 10.4761i −0.0218143 0.0831439i
\(127\) 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
\(129\) −42.0889 4.90025i −0.326270 0.0379864i
\(130\) −6.06458 + 1.75639i −0.0466506 + 0.0135107i
\(131\) 69.4990 40.1253i 0.530527 0.306300i −0.210704 0.977550i \(-0.567576\pi\)
0.741231 + 0.671250i \(0.234242\pi\)
\(132\) −54.7737 126.822i −0.414952 0.960776i
\(133\) −39.0131 73.4257i −0.293331 0.552073i
\(134\) 3.40971i 0.0254456i
\(135\) −75.0425 + 112.221i −0.555870 + 0.831269i
\(136\) −3.15993 + 5.47317i −0.0232348 + 0.0402439i
\(137\) −77.7452 + 134.659i −0.567483 + 0.982909i 0.429331 + 0.903147i \(0.358749\pi\)
−0.996814 + 0.0797620i \(0.974584\pi\)
\(138\) −9.80484 7.29256i −0.0710496 0.0528447i
\(139\) −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
\(144\) 40.5081 + 134.864i 0.281306 + 0.936553i
\(145\) 39.2045 159.035i 0.270376 1.09679i
\(146\) 21.3921i 0.146521i
\(147\) 27.2300 144.456i 0.185238 0.982694i
\(148\) 189.265i 1.27882i
\(149\) 81.9236 47.2986i 0.549823 0.317440i −0.199228 0.979953i \(-0.563843\pi\)
0.749050 + 0.662513i \(0.230510\pi\)
\(150\) −12.8568 0.975101i −0.0857118 0.00650067i
\(151\) 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
\(156\) −52.2145 + 70.2024i −0.334709 + 0.450015i
\(157\) 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
\(159\) −55.4156 41.2166i −0.348526 0.259224i
\(160\) −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
\(165\) 134.216 110.682i 0.813430 0.670802i
\(166\) 3.08358 + 5.34092i 0.0185758 + 0.0321742i
\(167\) 11.5544 0.0691879 0.0345940 0.999401i \(-0.488986\pi\)
0.0345940 + 0.999401i \(0.488986\pi\)
\(168\) 4.33167 28.4473i 0.0257837 0.169329i
\(169\) 115.048 0.680756
\(170\) −3.84933 0.948919i −0.0226431 0.00558188i
\(171\) −30.7524 102.384i −0.179839 0.598737i
\(172\) −48.5668 28.0401i −0.282365 0.163024i
\(173\) −1.95332 3.38324i −0.0112908 0.0195563i 0.860325 0.509746i \(-0.170261\pi\)
−0.871616 + 0.490190i \(0.836927\pi\)
\(174\) 6.69895 + 15.5107i 0.0384997 + 0.0891418i
\(175\) −151.990 86.7410i −0.868515 0.495663i
\(176\) 181.462i 1.03103i
\(177\) −2.26833 + 3.04976i −0.0128154 + 0.0172303i
\(178\) 19.0034 + 10.9716i 0.106761 + 0.0616382i
\(179\) −190.707 110.105i −1.06540 0.615110i −0.138480 0.990365i \(-0.544222\pi\)
−0.926921 + 0.375256i \(0.877555\pi\)
\(180\) −150.065 + 96.9708i −0.833697 + 0.538727i
\(181\) 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
\(186\) 2.80164 24.0637i 0.0150626 0.129375i
\(187\) 46.3250 26.7457i 0.247727 0.143025i
\(188\) 207.368 1.10302
\(189\) 70.6159 175.312i 0.373629 0.927578i
\(190\) 7.07309 7.36334i 0.0372268 0.0387544i
\(191\) 205.885 118.868i 1.07793 0.622345i 0.147594 0.989048i \(-0.452847\pi\)
0.930338 + 0.366703i \(0.119514\pi\)
\(192\) −21.2256 + 182.309i −0.110550 + 0.949526i
\(193\) −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
\(195\) −103.208 38.5654i −0.529273 0.197771i
\(196\) 108.888 161.226i 0.555552 0.822581i
\(197\) 378.734 1.92251 0.961253 0.275667i \(-0.0888987\pi\)
0.961253 + 0.275667i \(0.0888987\pi\)
\(198\) −4.12256 + 17.4646i −0.0208210 + 0.0882052i
\(199\) 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
\(201\) 35.5098 47.7429i 0.176666 0.237527i
\(202\) 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
\(207\) −61.3407 204.222i −0.296332 0.986579i
\(208\) −99.5278 + 57.4624i −0.478499 + 0.276262i
\(209\) 137.760i 0.659137i
\(210\) 17.8970 2.35424i 0.0852238 0.0112107i
\(211\) 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
\(213\) 143.628 + 16.7220i 0.674308 + 0.0785072i
\(214\) −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
\(219\) −222.785 + 299.534i −1.01728 + 1.36773i
\(220\) 221.154 64.0495i 1.00524 0.291134i
\(221\) −29.3389 16.9388i −0.132755 0.0766464i
\(222\) −14.6722 + 19.7268i −0.0660911 + 0.0888594i
\(223\) 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
\(225\) −169.866 147.548i −0.754961 0.655770i
\(226\) 5.50489 + 9.53475i 0.0243579 + 0.0421892i
\(227\) −193.360 + 334.909i −0.851805 + 1.47537i 0.0277721 + 0.999614i \(0.491159\pi\)
−0.879577 + 0.475756i \(0.842175\pi\)
\(228\) 16.3619 140.535i 0.0717628 0.616380i
\(229\) −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
\(231\) −152.141 + 190.188i −0.658617 + 0.823327i
\(232\) 44.8881i 0.193483i
\(233\) −171.016 296.208i −0.733974 1.27128i −0.955172 0.296051i \(-0.904330\pi\)
0.221199 0.975229i \(-0.429003\pi\)
\(234\) 10.8844 3.26929i 0.0465147 0.0139713i
\(235\) 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 \(0.0708979\pi\)
−0.975298 + 0.220895i \(0.929102\pi\)
\(240\) −231.467 + 38.7799i −0.964446 + 0.161583i
\(241\) −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
\(243\) 133.073 203.324i 0.547624 0.836725i
\(244\) −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
\(249\) −12.4456 + 106.897i −0.0499825 + 0.429306i
\(250\) 4.30069 21.0547i 0.0172028 0.0842190i
\(251\) 222.387i 0.886003i −0.896521 0.443001i \(-0.853914\pi\)
0.896521 0.443001i \(-0.146086\pi\)
\(252\) 177.794 175.950i 0.705532 0.698213i
\(253\) 274.784i 1.08610i
\(254\) 19.6521 11.3462i 0.0773706 0.0446699i
\(255\) −44.0162 53.3750i −0.172612 0.209314i
\(256\) −118.647 + 205.502i −0.463464 + 0.802744i
\(257\) 182.147 + 315.488i 0.708743 + 1.22758i 0.965324 + 0.261056i \(0.0840707\pi\)
−0.256581 + 0.966523i \(0.582596\pi\)
\(258\) 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
\(261\) −67.7343 + 286.946i −0.259519 + 1.09941i
\(262\) −11.9480 6.89817i −0.0456030 0.0263289i
\(263\) −181.221 + 313.884i −0.689054 + 1.19348i 0.283090 + 0.959093i \(0.408640\pi\)
−0.972144 + 0.234383i \(0.924693\pi\)
\(264\) −28.4526 + 38.2545i −0.107775 + 0.144903i
\(265\) 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 −0.105283 0.994442i \(-0.533575\pi\)
−0.913854 + 0.406043i \(0.866908\pi\)
\(270\) 23.1584 + 1.52628i 0.0857719 + 0.00565288i
\(271\) 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
\(273\) 152.492 + 23.2199i 0.558578 + 0.0850547i
\(274\) 26.7313 0.0975594
\(275\) 154.948 + 245.069i 0.563448 + 0.891162i
\(276\) 32.6365 280.319i 0.118248 1.01565i
\(277\) 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 \(0.252295\pi\)
−0.701990 + 0.712187i \(0.747705\pi\)
\(282\) −21.6136 16.0756i −0.0766440 0.0570056i
\(283\) 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
\(285\) 175.722 29.4404i 0.616569 0.103300i
\(286\) −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
\(291\) 80.3152 + 9.35080i 0.275997 + 0.0321333i
\(292\) −427.866 + 247.028i −1.46529 + 0.845988i
\(293\) 328.719 1.12191 0.560954 0.827847i \(-0.310434\pi\)
0.560954 + 0.827847i \(0.310434\pi\)
\(294\) −23.8478 + 8.36304i −0.0811148 + 0.0284457i
\(295\) −4.56847 4.38838i −0.0154863 0.0148759i
\(296\) −56.5668 + 32.6588i −0.191104 + 0.110334i
\(297\) −239.607 + 201.607i −0.806758 + 0.678812i
\(298\) −14.0840 8.13138i −0.0472616 0.0272865i
\(299\) 150.713 87.0143i 0.504058 0.291018i
\(300\) −128.962 268.410i −0.429874 0.894698i
\(301\) −3.48002 + 98.8095i −0.0115615 + 0.328271i
\(302\) −5.09879 −0.0168834
\(303\) −32.7823 + 44.0758i −0.108193 + 0.145465i
\(304\) 92.9235 160.948i 0.305669 0.529435i
\(305\) −89.9305 310.517i −0.294854 1.01809i
\(306\) 6.94534 + 1.63946i 0.0226972 + 0.00535772i
\(307\) 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 0.907403 0.420261i \(-0.138061\pi\)
0.0897451 + 0.995965i \(0.471395\pi\)
\(312\) 29.9917 + 3.49182i 0.0961272 + 0.0111917i
\(313\) 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
\(315\) 275.113 + 153.421i 0.873373 + 0.487051i
\(316\) −273.571 −0.865730
\(317\) −268.012 464.210i −0.845462 1.46438i −0.885219 0.465175i \(-0.845992\pi\)
0.0397565 0.999209i \(-0.487342\pi\)
\(318\) −1.37306 + 11.7934i −0.00431779 + 0.0370861i
\(319\) 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
\(324\) 268.379 177.210i 0.828330 0.546944i
\(325\) 85.3488 162.591i 0.262612 0.500279i
\(326\) 31.6718 + 18.2857i 0.0971528 + 0.0560912i
\(327\) −82.0838 61.0516i −0.251021 0.186702i
\(328\) 96.9129i 0.295466i
\(329\) −171.540 322.853i −0.521399 0.981316i
\(330\) −28.0157 10.4685i −0.0848961 0.0317228i
\(331\) −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
\(333\) −410.883 + 123.414i −1.23388 + 0.370613i
\(334\) −0.993191 1.72026i −0.00297363 0.00515047i
\(335\) 71.5177 + 68.6985i 0.213486 + 0.205070i
\(336\) 306.038 119.578i 0.910829 0.355888i
\(337\) 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
\(339\) −22.2183 + 190.836i −0.0655407 + 0.562938i
\(340\) −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
\(345\) 350.507 58.7238i 1.01596 0.170214i
\(346\) −0.335806 + 0.581633i −0.000970538 + 0.00168102i
\(347\) 9.76578 16.9148i 0.0281435 0.0487459i −0.851611 0.524175i \(-0.824374\pi\)
0.879754 + 0.475429i \(0.157707\pi\)
\(348\) −232.873 + 313.098i −0.669176 + 0.899706i
\(349\) −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 −0.544583 0.838707i \(-0.683312\pi\)
0.998633 + 0.0522696i \(0.0166455\pi\)
\(354\) 0.649040 + 0.0755653i 0.00183345 + 0.000213461i
\(355\) −57.6825 + 233.991i −0.162486 + 0.659131i
\(356\) 506.784i 1.42355i
\(357\) 75.6342 + 60.5033i 0.211860 + 0.169477i
\(358\) 37.8575i 0.105747i
\(359\) 16.9213 9.76951i 0.0471345 0.0272131i −0.476248 0.879311i \(-0.658003\pi\)
0.523382 + 0.852098i \(0.324670\pi\)
\(360\) 54.8768 + 28.1180i 0.152436 + 0.0781055i
\(361\) 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
\(366\) 26.7565 + 19.9008i 0.0731053 + 0.0543737i
\(367\) −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
\(369\) 146.237 619.514i 0.396308 1.67890i
\(370\) −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
\(375\) 279.490 250.021i 0.745306 0.666723i
\(376\) −35.7826 61.9772i −0.0951664 0.164833i
\(377\) −240.623 −0.638258
\(378\) −32.1711 + 4.55595i −0.0851088 + 0.0120528i
\(379\) 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
\(381\) 393.333 + 45.7943i 1.03237 + 0.120195i
\(382\) −35.3949 20.4353i −0.0926569 0.0534955i
\(383\) −71.4848 123.815i −0.186644 0.323277i 0.757485 0.652853i \(-0.226428\pi\)
−0.944129 + 0.329575i \(0.893095\pi\)
\(384\) 118.981 51.3869i 0.309846 0.133820i
\(385\) −282.663 291.333i −0.734191 0.756708i
\(386\) 36.2734i 0.0939726i
\(387\) −29.2042 + 123.719i −0.0754631 + 0.319688i
\(388\) 92.6766 + 53.5069i 0.238857 + 0.137904i
\(389\) −35.6423 20.5781i −0.0916256 0.0529000i 0.453487 0.891263i \(-0.350180\pi\)
−0.545113 + 0.838363i \(0.683513\pi\)
\(390\) 3.12981 + 18.6810i 0.00802516 + 0.0479001i
\(391\) 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
\(396\) −396.918 + 119.219i −1.00232 + 0.301059i
\(397\) 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
\(399\) −232.334 + 90.7799i −0.582291 + 0.227519i
\(400\) −15.7225 390.839i −0.0393063 0.977098i
\(401\) −81.6070 + 47.1158i −0.203509 + 0.117496i −0.598291 0.801279i \(-0.704153\pi\)
0.394782 + 0.918775i \(0.370820\pi\)
\(402\) −10.1605 1.18295i −0.0252748 0.00294265i
\(403\) 298.802 + 172.513i 0.741444 + 0.428073i
\(404\) −62.9596 + 36.3497i −0.155841 + 0.0899746i
\(405\) 308.370 + 262.551i 0.761408 + 0.648273i
\(406\) 34.8138 18.4975i 0.0857482 0.0455603i
\(407\) 552.850 1.35835
\(408\) 15.2130 + 11.3150i 0.0372869 + 0.0277329i
\(409\) −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
\(411\) 374.293 + 278.388i 0.910688 + 0.677344i
\(412\) 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
\(417\) −45.5561 + 391.288i −0.109247 + 0.938339i
\(418\) 20.5101 11.8415i 0.0490673 0.0283290i
\(419\) 208.590i 0.497828i 0.968526 + 0.248914i \(0.0800736\pi\)
−0.968526 + 0.248914i \(0.919926\pi\)
\(420\) 253.755 + 330.773i 0.604179 + 0.787556i
\(421\) −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
\(423\) −135.218 450.183i −0.319665 1.06426i
\(424\) −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
\(429\) −205.063 152.520i −0.478003 0.355525i
\(430\) −11.6618 + 3.37744i −0.0271205 + 0.00785450i
\(431\) 403.517 + 232.971i 0.936234 + 0.540535i 0.888778 0.458338i \(-0.151555\pi\)
0.0474561 + 0.998873i \(0.484889\pi\)
\(432\) 415.930 73.9200i 0.962801 0.171111i
\(433\) 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
\(435\) −460.302 171.999i −1.05817 0.395401i
\(436\) −67.6953 117.252i −0.155265 0.268926i
\(437\) −140.713 + 243.721i −0.321997 + 0.557714i
\(438\) 63.7458 + 7.42168i 0.145538 + 0.0169445i
\(439\) −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
\(441\) −421.013 131.259i −0.954678 0.297639i
\(442\) 5.82412i 0.0131767i
\(443\) 202.227 + 350.267i 0.456493 + 0.790670i 0.998773 0.0495286i \(-0.0157719\pi\)
−0.542279 + 0.840198i \(0.682439\pi\)
\(444\) −563.987 65.6628i −1.27024 0.147889i
\(445\) −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 \(0.00853266\pi\)
−0.999641 + 0.0268029i \(0.991467\pi\)
\(450\) −7.36614 + 37.9732i −0.0163692 + 0.0843850i
\(451\) −410.136 + 710.377i −0.909393 + 1.57511i
\(452\) −127.137 + 220.208i −0.281276 + 0.487185i
\(453\) −71.3936 53.1005i −0.157602 0.117220i
\(454\) 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
\(459\) 80.1751 + 95.2870i 0.174674 + 0.207597i
\(460\) 456.683 + 112.579i 0.992789 + 0.244738i
\(461\) 315.604i 0.684608i −0.939589 0.342304i \(-0.888793\pi\)
0.939589 0.342304i \(-0.111207\pi\)
\(462\) 41.3936 + 6.30301i 0.0895966 + 0.0136429i
\(463\) 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
\(465\) 448.282 + 543.597i 0.964047 + 1.16903i
\(466\) −29.4003 + 50.9229i −0.0630909 + 0.109277i
\(467\) 201.374 + 348.790i 0.431208 + 0.746874i 0.996978 0.0776892i \(-0.0247542\pi\)
−0.565770 + 0.824563i \(0.691421\pi\)
\(468\) 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
\(471\) 82.2792 110.624i 0.174690 0.234871i
\(472\) 1.50344 + 0.868014i 0.00318526 + 0.00183901i
\(473\) 81.9059 141.865i 0.173163 0.299926i
\(474\) 28.5138 + 21.2077i 0.0601556 + 0.0447421i
\(475\) 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 0.237344 0.971426i \(-0.423723\pi\)
−0.722607 + 0.691259i \(0.757056\pi\)
\(480\) 77.9773 + 94.5571i 0.162453 + 0.196994i
\(481\) −175.068 303.226i −0.363967 0.630408i
\(482\) 3.27870 0.00680229
\(483\) −463.429 + 181.076i −0.959480 + 0.374898i
\(484\) 53.6359 0.110818
\(485\) −32.2555 + 130.846i −0.0665062 + 0.269785i
\(486\) −41.7103 2.33501i −0.0858236 0.00480454i
\(487\) −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 \(-0.801460\pi\)
0.811705 0.584068i \(-0.198540\pi\)
\(492\) 502.770 675.974i 1.02189 1.37393i
\(493\) −130.850 75.5461i −0.265415 0.153238i
\(494\) −12.9897 7.49958i −0.0262948 0.0151813i
\(495\) −283.255 438.346i −0.572232 0.885547i
\(496\) 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
\(501\) 4.00862 34.4306i 0.00800124 0.0687237i
\(502\) −33.1097 + 19.1159i −0.0659556 + 0.0380795i
\(503\) −377.200 −0.749901 −0.374951 0.927045i \(-0.622340\pi\)
−0.374951 + 0.927045i \(0.622340\pi\)
\(504\) −83.2664 22.7772i −0.165211 0.0451928i
\(505\) −66.0244 63.4218i −0.130741 0.125588i
\(506\) 40.9108 23.6199i 0.0808515 0.0466796i
\(507\) 39.9141 342.828i 0.0787261 0.676189i
\(508\) 453.871 + 262.043i 0.893447 + 0.515832i
\(509\) 581.066 335.479i 1.14158 0.659094i 0.194762 0.980851i \(-0.437607\pi\)
0.946822 + 0.321757i \(0.104273\pi\)
\(510\) −4.16312 + 11.1413i −0.00816299 + 0.0218457i
\(511\) 738.542 + 461.799i 1.44529 + 0.903716i
\(512\) 213.599 0.417186
\(513\) −315.760 + 56.1176i −0.615517 + 0.109391i
\(514\) 31.3140 54.2374i 0.0609221 0.105520i
\(515\) −149.270 + 43.2307i −0.289844 + 0.0839432i
\(516\) −100.405 + 134.995i −0.194584 + 0.261618i
\(517\) 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 −0.297335 0.954773i \(-0.596098\pi\)
−0.975525 + 0.219887i \(0.929431\pi\)
\(522\) 48.5439 14.5808i 0.0929960 0.0279326i
\(523\) 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
\(525\) −311.208 + 422.818i −0.592777 + 0.805367i
\(526\) 62.3096 0.118459
\(527\) 108.325 + 187.624i 0.205550 + 0.356023i
\(528\) −540.732 62.9554i −1.02411 0.119234i
\(529\) −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
\(534\) 39.2869 52.8212i 0.0735710 0.0989161i
\(535\) −253.796 876.322i −0.474385 1.63798i
\(536\) −23.5359 13.5884i −0.0439102 0.0253516i
\(537\) −394.261 + 530.083i −0.734191 + 0.987118i
\(538\) 54.4215i 0.101155i
\(539\) 470.946 + 318.066i 0.873740 + 0.590104i
\(540\) 236.898 + 480.818i 0.438699 + 0.890404i
\(541\) −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
\(543\) 27.0111 232.001i 0.0497441 0.427259i
\(544\) 18.8428 + 32.6367i 0.0346375 + 0.0599938i
\(545\) 118.113 122.959i 0.216720 0.225614i
\(546\) −9.65082 24.6995i −0.0176755 0.0452371i
\(547\) 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
\(549\) 167.393 + 557.303i 0.304906 + 1.01512i
\(550\) 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
\(555\) −118.149 705.200i −0.212881 1.27063i
\(556\) −260.680 + 451.511i −0.468849 + 0.812070i
\(557\) 142.397 246.638i 0.255649 0.442797i −0.709422 0.704784i \(-0.751044\pi\)
0.965072 + 0.261986i \(0.0843775\pi\)
\(558\) −70.7347 16.6971i −0.126765 0.0299231i
\(559\) −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 −0.935278 0.353913i \(-0.884851\pi\)
0.774137 + 0.633018i \(0.218184\pi\)
\(564\) 71.9433 617.931i 0.127559 1.09562i
\(565\) −310.901 76.6419i −0.550267 0.135649i
\(566\) 55.0038i 0.0971799i
\(567\) −497.909 271.248i −0.878146 0.478392i
\(568\) 66.0449i 0.116276i
\(569\) 350.000 202.073i 0.615115 0.355137i −0.159850 0.987141i \(-0.551101\pi\)
0.774965 + 0.632005i \(0.217768\pi\)
\(570\) −19.4879 23.6315i −0.0341893 0.0414588i
\(571\) 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
\(576\) 535.894 + 126.499i 0.930371 + 0.219616i
\(577\) −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
\(579\) −377.764 + 507.903i −0.652442 + 0.877207i
\(580\) −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
\(585\) −150.727 + 294.168i −0.257652 + 0.502851i
\(586\) −28.2560 48.9409i −0.0482185 0.0835168i
\(587\) −339.097 −0.577679 −0.288839 0.957378i \(-0.593269\pi\)
−0.288839 + 0.957378i \(0.593269\pi\)
\(588\) −442.655 380.408i −0.752815 0.646952i
\(589\) −557.949 −0.947283
\(590\) −0.260662 + 1.05739i −0.000441800 + 0.00179218i
\(591\) 131.396 1128.58i 0.222328 1.90961i
\(592\) −645.910 372.916i −1.09106 0.629926i
\(593\) −163.991 284.041i −0.276545 0.478990i 0.693979 0.719995i \(-0.255856\pi\)
−0.970524 + 0.241006i \(0.922523\pi\)
\(594\) 50.6121 + 18.3438i 0.0852056 + 0.0308818i
\(595\) −115.857 + 112.410i −0.194718 + 0.188924i
\(596\) 375.593i 0.630190i
\(597\) −458.478 341.003i −0.767970 0.571194i
\(598\) −25.9100 14.9591i −0.0433278 0.0250153i
\(599\) 726.655 + 419.534i 1.21311 + 0.700391i 0.963436 0.267938i \(-0.0863422\pi\)
0.249677 + 0.968329i \(0.419676\pi\)
\(600\) −57.9678 + 84.8592i −0.0966130 + 0.141432i
\(601\) 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
\(606\) 9.38007 + 1.09209i 0.0154787 + 0.00180212i
\(607\) −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
\(609\) 680.103 + 103.559i 1.11675 + 0.170048i
\(610\) −38.5007 + 40.0806i −0.0631159 + 0.0657059i
\(611\) 332.229 191.813i 0.543747 0.313932i
\(612\) 47.4112 + 157.846i 0.0774693 + 0.257919i
\(613\) 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
\(615\) 993.786 + 371.344i 1.61591 + 0.603812i
\(616\) 94.3217 + 58.9779i 0.153120 + 0.0957433i
\(617\) 126.508 0.205037 0.102519 0.994731i \(-0.467310\pi\)
0.102519 + 0.994731i \(0.467310\pi\)
\(618\) 9.56655 12.8622i 0.0154798 0.0208126i
\(619\) 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
\(621\) −629.836 + 111.936i −1.01423 + 0.180251i
\(622\) 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
\(627\) 410.506 + 47.7936i 0.654714 + 0.0762259i
\(628\) 158.020 91.2329i 0.251624 0.145275i
\(629\) 219.858i 0.349535i
\(630\) −0.806242 54.1475i −0.00127975 0.0859484i
\(631\) 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
\(633\) 19.7431 169.576i 0.0311898 0.267893i
\(634\) −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
\(639\) 99.6590 422.191i 0.155961 0.660705i
\(640\) 60.0892 + 207.479i 0.0938893 + 0.324187i
\(641\) −803.605 463.961i −1.25367 0.723809i −0.281837 0.959462i \(-0.590944\pi\)
−0.971837 + 0.235654i \(0.924277\pi\)
\(642\) 75.5106 + 56.1626i 0.117618 + 0.0874807i
\(643\) 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
\(645\) −198.463 74.1590i −0.307695 0.114975i
\(646\) −4.70914 8.15648i −0.00728970 0.0126261i
\(647\) −321.902 + 557.551i −0.497530 + 0.861747i −0.999996 0.00284968i \(-0.999093\pi\)
0.502466 + 0.864597i \(0.332426\pi\)
\(648\) −99.2739 49.6332i −0.153201 0.0765945i
\(649\) −7.34689 12.7252i −0.0113203 0.0196074i
\(650\) −31.5435 + 1.26892i −0.0485284 + 0.00195218i
\(651\) −770.295 616.195i −1.18325 0.946536i
\(652\) 844.628i 1.29544i
\(653\) 285.108 + 493.822i 0.436613 + 0.756236i 0.997426 0.0717069i \(-0.0228446\pi\)
−0.560813 + 0.827943i \(0.689511\pi\)
\(654\) −2.03383 + 17.4688i −0.00310983 + 0.0267107i
\(655\) 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 \(0.158365\pi\)
−0.878770 + 0.477245i \(0.841635\pi\)
\(660\) −114.133 681.231i −0.172929 1.03217i
\(661\) −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
\(663\) −60.6543 + 81.5496i −0.0914846 + 0.123001i
\(664\) 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
\(669\) −314.551 36.6220i −0.470181 0.0547414i
\(670\) 4.08057 16.5530i 0.00609040 0.0247059i
\(671\) 749.861i 1.11753i
\(672\) −133.991 107.185i −0.199391 0.159502i
\(673\) 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
\(675\) −498.607 + 454.990i −0.738677 + 0.674059i
\(676\) 228.396 395.593i 0.337863 0.585196i
\(677\) −134.300 232.614i −0.198375 0.343595i 0.749627 0.661861i \(-0.230233\pi\)
−0.948002 + 0.318266i \(0.896900\pi\)
\(678\) 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
\(681\) 930.903 + 692.379i 1.36696 + 1.01671i
\(682\) 81.1093 + 46.8285i 0.118929 + 0.0686634i
\(683\) −158.562 + 274.638i −0.232156 + 0.402105i −0.958442 0.285287i \(-0.907911\pi\)
0.726287 + 0.687392i \(0.241245\pi\)
\(684\) −413.098 97.5128i −0.603945 0.142563i
\(685\) −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
\(690\) −38.8718 47.1369i −0.0563360 0.0683144i
\(691\) 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
\(693\) 513.954 + 519.342i 0.741637 + 0.749412i
\(694\) −3.35779 −0.00483831
\(695\) −637.467 157.146i −0.917219 0.226109i
\(696\) 133.761 + 15.5733i 0.192185 + 0.0223754i
\(697\) 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 \(0.0992526\pi\)
−0.951779 + 0.306783i \(0.900747\pi\)
\(702\) −5.96586 33.5685i −0.00849838 0.0478184i
\(703\) 490.353 + 283.106i 0.697515 + 0.402711i
\(704\) −614.492 354.777i −0.872859 0.503945i
\(705\) 772.650 129.450i 1.09596 0.183616i
\(706\) −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
\(711\) 178.387 + 593.904i 0.250896 + 0.835308i
\(712\) 151.465 87.4486i 0.212732 0.122821i
\(713\) −1112.92 −1.56090
\(714\) 2.50658 16.4614i 0.00351062 0.0230552i
\(715\) 295.071 307.180i 0.412687 0.429622i
\(716\) −757.191 + 437.164i −1.05753 + 0.610565i
\(717\) 314.639 + 36.6322i 0.438826 + 0.0510909i
\(718\) −2.90904 1.67953i −0.00405159 0.00233918i
\(719\) −740.112 + 427.304i −1.02936 + 0.594303i −0.916802 0.399342i \(-0.869239\pi\)
−0.112561 + 0.993645i \(0.535905\pi\)
\(720\) 35.2551 + 703.196i 0.0489654 + 0.976662i
\(721\) 192.129 102.083i 0.266476 0.141586i
\(722\) −37.8062 −0.0523632
\(723\) 45.9086 + 34.1455i 0.0634974 + 0.0472276i
\(724\) 154.562 267.709i 0.213483 0.369764i
\(725\) 380.650 725.143i 0.525035 1.00020i
\(726\) −5.59038 4.15796i −0.00770024 0.00572722i
\(727\) 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
\(732\) −89.0622 + 764.967i −0.121670 + 1.04504i
\(733\) 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
\(735\) 305.070 668.698i 0.415062 0.909793i
\(736\) −193.590 −0.263029
\(737\) 115.013 + 199.208i 0.156055 + 0.270296i
\(738\) −104.806 + 31.4798i −0.142013 + 0.0426555i
\(739\) −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 \(-0.482243\pi\)
0.0557566 + 0.998444i \(0.482243\pi\)
\(744\) −154.937 115.238i −0.208249 0.154889i
\(745\) 454.316 131.577i 0.609821 0.176613i
\(746\) −33.3785 19.2711i −0.0447432 0.0258325i
\(747\) 314.222 + 74.1729i 0.420646 + 0.0992943i
\(748\) 212.385i 0.283937i
\(749\) 599.304 + 1127.94i 0.800139 + 1.50593i
\(750\) −61.2484 20.1201i −0.0816645 0.0268268i
\(751\) −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
\(753\) −662.684 77.1538i −0.880058 0.102462i
\(754\) 20.6835 + 35.8248i 0.0274317 + 0.0475130i
\(755\) 102.730 106.946i 0.136066 0.141650i
\(756\) −462.624 590.847i −0.611937 0.781544i
\(757\) 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
\(759\) 818.821 + 95.3323i 1.07882 + 0.125602i
\(760\) −22.6384 78.1673i −0.0297874 0.102852i
\(761\) −500.579 + 289.009i −0.657791 + 0.379776i −0.791435 0.611254i \(-0.790666\pi\)
0.133644 + 0.991029i \(0.457332\pi\)
\(762\) −26.9921 62.4972i −0.0354227 0.0820173i
\(763\) −126.551 + 202.389i −0.165859 + 0.265254i
\(764\) 943.916i 1.23549i