Properties

Label 128.3.l.a.3.17
Level 128
Weight 3
Character 128.3
Analytic conductor 3.488
Analytic rank 0
Dimension 496
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 128 = 2^{7} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 128.l (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.48774738381\)
Analytic rank: \(0\)
Dimension: \(496\)
Relative dimension: \(31\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 3.17
Character \(\chi\) \(=\) 128.3
Dual form 128.3.l.a.43.17

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0173622 - 1.99992i) q^{2} +(3.90317 - 3.20325i) q^{3} +(-3.99940 - 0.0694462i) q^{4} +(4.26052 + 1.29242i) q^{5} +(-6.33848 - 7.86165i) q^{6} +(-0.713727 - 3.58815i) q^{7} +(-0.208325 + 7.99729i) q^{8} +(3.21811 - 16.1785i) q^{9} +O(q^{10})\) \(q+(0.0173622 - 1.99992i) q^{2} +(3.90317 - 3.20325i) q^{3} +(-3.99940 - 0.0694462i) q^{4} +(4.26052 + 1.29242i) q^{5} +(-6.33848 - 7.86165i) q^{6} +(-0.713727 - 3.58815i) q^{7} +(-0.208325 + 7.99729i) q^{8} +(3.21811 - 16.1785i) q^{9} +(2.65871 - 8.49828i) q^{10} +(1.43644 + 14.5844i) q^{11} +(-15.8328 + 12.5400i) q^{12} +(-3.73328 - 12.3070i) q^{13} +(-7.18841 + 1.36510i) q^{14} +(20.7695 - 8.60299i) q^{15} +(15.9904 + 0.555486i) q^{16} +(-7.23134 + 17.4580i) q^{17} +(-32.3000 - 6.71687i) q^{18} +(-15.3176 + 28.6572i) q^{19} +(-16.9498 - 5.46476i) q^{20} +(-14.2795 - 11.7189i) q^{21} +(29.1926 - 2.61955i) q^{22} +(12.3054 - 8.22221i) q^{23} +(24.8041 + 31.8821i) q^{24} +(-4.30503 - 2.87653i) q^{25} +(-24.6778 + 7.25259i) q^{26} +(-17.8410 - 33.3781i) q^{27} +(2.60529 + 14.4000i) q^{28} +(4.17878 - 42.4279i) q^{29} +(-16.8447 - 41.6867i) q^{30} +(10.9719 + 10.9719i) q^{31} +(1.38856 - 31.9699i) q^{32} +(52.3240 + 52.3240i) q^{33} +(34.7891 + 14.7652i) q^{34} +(1.59653 - 16.2098i) q^{35} +(-13.9940 + 64.4809i) q^{36} +(20.5444 + 38.4360i) q^{37} +(57.0463 + 31.1316i) q^{38} +(-53.9938 - 36.0775i) q^{39} +(-11.2234 + 33.8034i) q^{40} +(28.2572 - 18.8808i) q^{41} +(-23.6848 + 28.3545i) q^{42} +(-17.4937 - 14.3567i) q^{43} +(-4.73205 - 58.4285i) q^{44} +(34.6202 - 64.7699i) q^{45} +(-16.2302 - 24.7527i) q^{46} +(-17.1221 + 41.3363i) q^{47} +(64.1924 - 49.0529i) q^{48} +(32.9047 - 13.6296i) q^{49} +(-5.82758 + 8.55979i) q^{50} +(27.6971 + 91.3052i) q^{51} +(14.0762 + 49.4797i) q^{52} +(-0.0279984 - 0.284273i) q^{53} +(-67.0635 + 35.1011i) q^{54} +(-12.7291 + 63.9935i) q^{55} +(28.8441 - 4.96038i) q^{56} +(32.0090 + 160.920i) q^{57} +(-84.7800 - 9.09389i) q^{58} +(-4.27020 - 1.29535i) q^{59} +(-83.6627 + 32.9644i) q^{60} +(33.7679 - 27.7126i) q^{61} +(22.1334 - 21.7524i) q^{62} -60.3478 q^{63} +(-63.9132 - 3.33208i) q^{64} -57.2590i q^{65} +(105.553 - 103.736i) q^{66} +(45.2610 + 55.1507i) q^{67} +(30.1334 - 69.3193i) q^{68} +(21.6923 - 71.5099i) q^{69} +(-32.3907 - 3.47437i) q^{70} +(-48.9216 + 9.73111i) q^{71} +(128.714 + 29.1066i) q^{72} +(-117.683 - 23.4087i) q^{73} +(77.2257 - 40.4200i) q^{74} +(-26.0175 + 2.56250i) q^{75} +(63.2513 - 113.548i) q^{76} +(51.3057 - 15.5634i) q^{77} +(-73.0898 + 107.357i) q^{78} +(-59.3443 - 143.270i) q^{79} +(67.4093 + 23.0328i) q^{80} +(-39.3959 - 16.3183i) q^{81} +(-37.2697 - 56.8400i) q^{82} +(-51.3532 - 27.4489i) q^{83} +(56.2956 + 47.8602i) q^{84} +(-53.3723 + 65.0343i) q^{85} +(-29.0160 + 34.7368i) q^{86} +(-119.596 - 178.989i) q^{87} +(-116.935 + 8.44929i) q^{88} +(31.6926 - 47.4313i) q^{89} +(-128.934 - 70.3624i) q^{90} +(-41.4946 + 22.1793i) q^{91} +(-49.7852 + 32.0293i) q^{92} +(77.9707 + 7.67944i) q^{93} +(82.3723 + 34.9605i) q^{94} +(-102.298 + 102.298i) q^{95} +(-96.9876 - 129.232i) q^{96} +(-133.782 + 133.782i) q^{97} +(-26.6868 - 66.0436i) q^{98} +(240.577 + 23.6947i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} + O(q^{10}) \) \( 496q - 16q^{2} - 16q^{3} - 16q^{4} - 16q^{5} - 16q^{6} - 16q^{7} - 16q^{8} - 16q^{9} - 16q^{10} - 16q^{11} - 16q^{12} - 16q^{13} - 16q^{14} - 16q^{15} - 16q^{16} - 16q^{17} - 16q^{18} - 16q^{19} - 16q^{20} - 16q^{21} - 16q^{22} - 16q^{23} - 16q^{24} - 16q^{25} - 16q^{26} - 16q^{27} - 16q^{28} - 16q^{29} - 16q^{30} - 16q^{31} - 16q^{32} - 16q^{33} - 16q^{34} - 16q^{35} - 16q^{36} - 16q^{37} - 16q^{38} - 16q^{39} - 16q^{40} - 16q^{41} - 16q^{42} - 16q^{43} - 16q^{44} - 16q^{45} - 16q^{46} - 16q^{47} - 16q^{48} - 16q^{49} - 640q^{50} - 16q^{51} - 1072q^{52} - 16q^{53} - 1168q^{54} - 16q^{55} - 800q^{56} - 16q^{57} - 736q^{58} - 16q^{59} - 592q^{60} - 16q^{61} - 112q^{62} - 32q^{63} + 176q^{64} + 560q^{66} - 16q^{67} + 464q^{68} - 16q^{69} + 1328q^{70} - 16q^{71} + 1280q^{72} - 16q^{73} + 1216q^{74} - 16q^{75} + 1648q^{76} - 16q^{77} + 1424q^{78} - 16q^{79} + 800q^{80} - 16q^{81} - 16q^{82} - 16q^{83} - 16q^{84} - 16q^{85} - 16q^{86} - 16q^{87} - 16q^{88} - 16q^{89} - 16q^{90} - 16q^{91} - 16q^{92} - 16q^{93} - 16q^{94} - 16q^{95} - 16q^{96} - 16q^{97} - 16q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/128\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(127\)
\(\chi(n)\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0173622 1.99992i 0.00868110 0.999962i
\(3\) 3.90317 3.20325i 1.30106 1.06775i 0.307843 0.951437i \(-0.400393\pi\)
0.993213 0.116311i \(-0.0371071\pi\)
\(4\) −3.99940 0.0694462i −0.999849 0.0173615i
\(5\) 4.26052 + 1.29242i 0.852104 + 0.258483i 0.685979 0.727622i \(-0.259374\pi\)
0.166126 + 0.986105i \(0.446874\pi\)
\(6\) −6.33848 7.86165i −1.05641 1.31028i
\(7\) −0.713727 3.58815i −0.101961 0.512592i −0.997686 0.0679847i \(-0.978343\pi\)
0.895725 0.444608i \(-0.146657\pi\)
\(8\) −0.208325 + 7.99729i −0.0260407 + 0.999661i
\(9\) 3.21811 16.1785i 0.357568 1.79762i
\(10\) 2.65871 8.49828i 0.265871 0.849828i
\(11\) 1.43644 + 14.5844i 0.130585 + 1.32585i 0.807533 + 0.589822i \(0.200802\pi\)
−0.676948 + 0.736031i \(0.736698\pi\)
\(12\) −15.8328 + 12.5400i −1.31940 + 1.04500i
\(13\) −3.73328 12.3070i −0.287175 0.946689i −0.975260 0.221059i \(-0.929049\pi\)
0.688085 0.725630i \(-0.258451\pi\)
\(14\) −7.18841 + 1.36510i −0.513458 + 0.0975073i
\(15\) 20.7695 8.60299i 1.38463 0.573533i
\(16\) 15.9904 + 0.555486i 0.999397 + 0.0347179i
\(17\) −7.23134 + 17.4580i −0.425373 + 1.02694i 0.555364 + 0.831607i \(0.312579\pi\)
−0.980737 + 0.195334i \(0.937421\pi\)
\(18\) −32.3000 6.71687i −1.79444 0.373160i
\(19\) −15.3176 + 28.6572i −0.806190 + 1.50827i 0.0541382 + 0.998533i \(0.482759\pi\)
−0.860328 + 0.509741i \(0.829741\pi\)
\(20\) −16.9498 5.46476i −0.847488 0.273238i
\(21\) −14.2795 11.7189i −0.679977 0.558042i
\(22\) 29.1926 2.61955i 1.32694 0.119070i
\(23\) 12.3054 8.22221i 0.535018 0.357488i −0.258522 0.966005i \(-0.583236\pi\)
0.793540 + 0.608518i \(0.208236\pi\)
\(24\) 24.8041 + 31.8821i 1.03351 + 1.32842i
\(25\) −4.30503 2.87653i −0.172201 0.115061i
\(26\) −24.6778 + 7.25259i −0.949147 + 0.278946i
\(27\) −17.8410 33.3781i −0.660777 1.23623i
\(28\) 2.60529 + 14.4000i 0.0930462 + 0.514285i
\(29\) 4.17878 42.4279i 0.144096 1.46303i −0.602695 0.797972i \(-0.705906\pi\)
0.746791 0.665059i \(-0.231594\pi\)
\(30\) −16.8447 41.6867i −0.561491 1.38956i
\(31\) 10.9719 + 10.9719i 0.353932 + 0.353932i 0.861570 0.507639i \(-0.169481\pi\)
−0.507639 + 0.861570i \(0.669481\pi\)
\(32\) 1.38856 31.9699i 0.0433924 0.999058i
\(33\) 52.3240 + 52.3240i 1.58558 + 1.58558i
\(34\) 34.7891 + 14.7652i 1.02321 + 0.434272i
\(35\) 1.59653 16.2098i 0.0456151 0.463137i
\(36\) −13.9940 + 64.4809i −0.388723 + 1.79114i
\(37\) 20.5444 + 38.4360i 0.555255 + 1.03881i 0.990371 + 0.138435i \(0.0442073\pi\)
−0.435116 + 0.900374i \(0.643293\pi\)
\(38\) 57.0463 + 31.1316i 1.50122 + 0.819253i
\(39\) −53.9938 36.0775i −1.38446 0.925065i
\(40\) −11.2234 + 33.8034i −0.280585 + 0.845084i
\(41\) 28.2572 18.8808i 0.689199 0.460508i −0.161010 0.986953i \(-0.551475\pi\)
0.850210 + 0.526444i \(0.176475\pi\)
\(42\) −23.6848 + 28.3545i −0.563924 + 0.675107i
\(43\) −17.4937 14.3567i −0.406830 0.333877i 0.408620 0.912705i \(-0.366010\pi\)
−0.815450 + 0.578828i \(0.803510\pi\)
\(44\) −4.73205 58.4285i −0.107547 1.32792i
\(45\) 34.6202 64.7699i 0.769338 1.43933i
\(46\) −16.2302 24.7527i −0.352830 0.538101i
\(47\) −17.1221 + 41.3363i −0.364299 + 0.879496i 0.630362 + 0.776301i \(0.282907\pi\)
−0.994661 + 0.103195i \(0.967093\pi\)
\(48\) 64.1924 49.0529i 1.33734 1.02194i
\(49\) 32.9047 13.6296i 0.671525 0.278155i
\(50\) −5.82758 + 8.55979i −0.116552 + 0.171196i
\(51\) 27.6971 + 91.3052i 0.543081 + 1.79030i
\(52\) 14.0762 + 49.4797i 0.270696 + 0.951532i
\(53\) −0.0279984 0.284273i −0.000528272 0.00536364i 0.994917 0.100699i \(-0.0321078\pi\)
−0.995445 + 0.0953350i \(0.969608\pi\)
\(54\) −67.0635 + 35.1011i −1.24192 + 0.650020i
\(55\) −12.7291 + 63.9935i −0.231438 + 1.16352i
\(56\) 28.8441 4.96038i 0.515074 0.0885781i
\(57\) 32.0090 + 160.920i 0.561561 + 2.82316i
\(58\) −84.7800 9.09389i −1.46172 0.156791i
\(59\) −4.27020 1.29535i −0.0723762 0.0219551i 0.253889 0.967233i \(-0.418290\pi\)
−0.326265 + 0.945278i \(0.605790\pi\)
\(60\) −83.6627 + 32.9644i −1.39438 + 0.549407i
\(61\) 33.7679 27.7126i 0.553573 0.454305i −0.315545 0.948911i \(-0.602187\pi\)
0.869118 + 0.494605i \(0.164687\pi\)
\(62\) 22.1334 21.7524i 0.356991 0.350846i
\(63\) −60.3478 −0.957902
\(64\) −63.9132 3.33208i −0.998644 0.0520637i
\(65\) 57.2590i 0.880908i
\(66\) 105.553 103.736i 1.59928 1.57175i
\(67\) 45.2610 + 55.1507i 0.675537 + 0.823144i 0.992103 0.125426i \(-0.0400298\pi\)
−0.316566 + 0.948571i \(0.602530\pi\)
\(68\) 30.1334 69.3193i 0.443138 1.01940i
\(69\) 21.6923 71.5099i 0.314381 1.03638i
\(70\) −32.3907 3.47437i −0.462724 0.0496339i
\(71\) −48.9216 + 9.73111i −0.689037 + 0.137058i −0.527177 0.849756i \(-0.676749\pi\)
−0.161860 + 0.986814i \(0.551749\pi\)
\(72\) 128.714 + 29.1066i 1.78769 + 0.404258i
\(73\) −117.683 23.4087i −1.61210 0.320667i −0.694906 0.719101i \(-0.744554\pi\)
−0.917197 + 0.398434i \(0.869554\pi\)
\(74\) 77.2257 40.4200i 1.04359 0.546216i
\(75\) −26.0175 + 2.56250i −0.346900 + 0.0341666i
\(76\) 63.2513 113.548i 0.832254 1.49405i
\(77\) 51.3057 15.5634i 0.666307 0.202122i
\(78\) −73.0898 + 107.357i −0.937048 + 1.37637i
\(79\) −59.3443 143.270i −0.751194 1.81354i −0.552568 0.833468i \(-0.686352\pi\)
−0.198626 0.980075i \(-0.563648\pi\)
\(80\) 67.4093 + 23.0328i 0.842617 + 0.287910i
\(81\) −39.3959 16.3183i −0.486370 0.201461i
\(82\) −37.2697 56.8400i −0.454508 0.693171i
\(83\) −51.3532 27.4489i −0.618713 0.330709i 0.132087 0.991238i \(-0.457832\pi\)
−0.750801 + 0.660529i \(0.770332\pi\)
\(84\) 56.2956 + 47.8602i 0.670186 + 0.569764i
\(85\) −53.3723 + 65.0343i −0.627909 + 0.765109i
\(86\) −29.0160 + 34.7368i −0.337396 + 0.403916i
\(87\) −119.596 178.989i −1.37467 2.05734i
\(88\) −116.935 + 8.44929i −1.32880 + 0.0960147i
\(89\) 31.6926 47.4313i 0.356096 0.532936i −0.609566 0.792735i \(-0.708656\pi\)
0.965663 + 0.259799i \(0.0836564\pi\)
\(90\) −128.934 70.3624i −1.43260 0.781804i
\(91\) −41.4946 + 22.1793i −0.455985 + 0.243729i
\(92\) −49.7852 + 32.0293i −0.541144 + 0.348145i
\(93\) 77.9707 + 7.67944i 0.838395 + 0.0825747i
\(94\) 82.3723 + 34.9605i 0.876301 + 0.371921i
\(95\) −102.298 + 102.298i −1.07682 + 1.07682i
\(96\) −96.9876 129.232i −1.01029 1.34616i
\(97\) −133.782 + 133.782i −1.37919 + 1.37919i −0.533211 + 0.845982i \(0.679015\pi\)
−0.845982 + 0.533211i \(0.820985\pi\)
\(98\) −26.6868 66.0436i −0.272315 0.673914i
\(99\) 240.577 + 23.6947i 2.43007 + 0.239341i
\(100\) 17.0178 + 11.8033i 0.170178 + 0.118033i
\(101\) −61.0273 + 32.6198i −0.604231 + 0.322968i −0.744990 0.667076i \(-0.767546\pi\)
0.140759 + 0.990044i \(0.455046\pi\)
\(102\) 183.084 53.8069i 1.79495 0.527519i
\(103\) −79.9321 + 119.627i −0.776040 + 1.16143i 0.207055 + 0.978329i \(0.433612\pi\)
−0.983095 + 0.183096i \(0.941388\pi\)
\(104\) 99.2000 27.2922i 0.953846 0.262425i
\(105\) −45.6925 68.3837i −0.435167 0.651273i
\(106\) −0.569010 + 0.0510592i −0.00536802 + 0.000481690i
\(107\) 50.9275 62.0553i 0.475958 0.579956i −0.478581 0.878043i \(-0.658849\pi\)
0.954539 + 0.298087i \(0.0963487\pi\)
\(108\) 69.0351 + 134.731i 0.639214 + 1.24751i
\(109\) 16.4025 + 8.76729i 0.150481 + 0.0804339i 0.544919 0.838489i \(-0.316561\pi\)
−0.394437 + 0.918923i \(0.629061\pi\)
\(110\) 127.761 + 26.5683i 1.16147 + 0.241530i
\(111\) 203.308 + 84.2130i 1.83161 + 0.758676i
\(112\) −9.41958 57.7722i −0.0841034 0.515823i
\(113\) −12.1386 29.3051i −0.107421 0.259337i 0.861024 0.508564i \(-0.169824\pi\)
−0.968445 + 0.249227i \(0.919824\pi\)
\(114\) 322.384 61.2216i 2.82793 0.537032i
\(115\) 63.0540 19.1272i 0.548296 0.166324i
\(116\) −19.6591 + 169.396i −0.169475 + 1.46031i
\(117\) −211.123 + 20.7938i −1.80447 + 0.177725i
\(118\) −2.66474 + 8.51758i −0.0225826 + 0.0721829i
\(119\) 67.8030 + 13.4869i 0.569773 + 0.113335i
\(120\) 64.4738 + 167.891i 0.537281 + 1.39910i
\(121\) −91.9658 + 18.2931i −0.760048 + 0.151183i
\(122\) −54.8369 68.0145i −0.449483 0.557496i
\(123\) 49.8125 164.210i 0.404980 1.33504i
\(124\) −43.1189 44.6429i −0.347733 0.360023i
\(125\) −85.2357 103.860i −0.681885 0.830880i
\(126\) −1.04777 + 120.691i −0.00831564 + 0.957866i
\(127\) 207.217i 1.63163i 0.578315 + 0.815814i \(0.303710\pi\)
−0.578315 + 0.815814i \(0.696290\pi\)
\(128\) −7.77358 + 127.764i −0.0607311 + 0.998154i
\(129\) −114.269 −0.885805
\(130\) −114.514 0.994142i −0.880875 0.00764725i
\(131\) 81.5431 66.9207i 0.622466 0.510845i −0.269468 0.963009i \(-0.586848\pi\)
0.891935 + 0.452164i \(0.149348\pi\)
\(132\) −205.631 212.898i −1.55781 1.61286i
\(133\) 113.759 + 34.5084i 0.855330 + 0.259461i
\(134\) 111.083 89.5610i 0.828978 0.668366i
\(135\) −32.8735 165.266i −0.243507 1.22419i
\(136\) −138.110 61.4680i −1.01552 0.451971i
\(137\) −12.8573 + 64.6378i −0.0938486 + 0.471809i 0.905068 + 0.425267i \(0.139820\pi\)
−0.998916 + 0.0465413i \(0.985180\pi\)
\(138\) −142.638 44.6245i −1.03361 0.323366i
\(139\) 10.0814 + 102.358i 0.0725280 + 0.736390i 0.960832 + 0.277133i \(0.0893842\pi\)
−0.888304 + 0.459257i \(0.848116\pi\)
\(140\) −7.51085 + 64.7186i −0.0536490 + 0.462276i
\(141\) 65.5801 + 216.189i 0.465107 + 1.53325i
\(142\) 18.6121 + 98.0085i 0.131071 + 0.690201i
\(143\) 174.127 72.1257i 1.21767 0.504375i
\(144\) 60.4457 256.913i 0.419762 1.78412i
\(145\) 72.6382 175.364i 0.500953 1.20941i
\(146\) −48.8589 + 234.952i −0.334650 + 1.60926i
\(147\) 84.7737 158.600i 0.576692 1.07891i
\(148\) −79.4962 155.147i −0.537136 1.04829i
\(149\) −63.9989 52.5225i −0.429522 0.352500i 0.394657 0.918828i \(-0.370863\pi\)
−0.824180 + 0.566328i \(0.808363\pi\)
\(150\) 4.67308 + 52.0775i 0.0311539 + 0.347183i
\(151\) −13.3118 + 8.89469i −0.0881579 + 0.0589052i −0.598868 0.800848i \(-0.704383\pi\)
0.510710 + 0.859753i \(0.329383\pi\)
\(152\) −225.989 128.469i −1.48677 0.845193i
\(153\) 259.174 + 173.174i 1.69394 + 1.13186i
\(154\) −30.2349 102.878i −0.196330 0.668037i
\(155\) 32.5657 + 60.9262i 0.210101 + 0.393072i
\(156\) 213.437 + 148.038i 1.36819 + 0.948961i
\(157\) 24.6820 250.600i 0.157210 1.59618i −0.515908 0.856644i \(-0.672545\pi\)
0.673118 0.739535i \(-0.264955\pi\)
\(158\) −287.559 + 116.197i −1.82000 + 0.735422i
\(159\) −1.01988 1.01988i −0.00641433 0.00641433i
\(160\) 47.2343 134.414i 0.295214 0.840086i
\(161\) −38.2852 38.2852i −0.237796 0.237796i
\(162\) −33.3194 + 78.5056i −0.205676 + 0.484602i
\(163\) −18.3442 + 186.252i −0.112541 + 1.14265i 0.758579 + 0.651581i \(0.225894\pi\)
−0.871120 + 0.491070i \(0.836606\pi\)
\(164\) −114.323 + 73.5496i −0.697091 + 0.448473i
\(165\) 155.303 + 290.552i 0.941232 + 1.76092i
\(166\) −55.7873 + 102.226i −0.336068 + 0.615819i
\(167\) 39.1260 + 26.1431i 0.234287 + 0.156546i 0.667172 0.744903i \(-0.267504\pi\)
−0.432885 + 0.901449i \(0.642504\pi\)
\(168\) 96.6941 111.756i 0.575560 0.665214i
\(169\) 2.99443 2.00081i 0.0177185 0.0118391i
\(170\) 129.137 + 107.870i 0.759629 + 0.634527i
\(171\) 414.338 + 340.039i 2.42303 + 1.98853i
\(172\) 68.9672 + 58.6330i 0.400972 + 0.340890i
\(173\) −11.6860 + 21.8630i −0.0675491 + 0.126375i −0.913429 0.406998i \(-0.866576\pi\)
0.845880 + 0.533373i \(0.179076\pi\)
\(174\) −360.040 + 236.076i −2.06920 + 1.35676i
\(175\) −7.24879 + 17.5001i −0.0414217 + 0.100001i
\(176\) 14.8677 + 234.007i 0.0844756 + 1.32959i
\(177\) −20.8166 + 8.62252i −0.117608 + 0.0487148i
\(178\) −94.3087 64.2062i −0.529824 0.360709i
\(179\) −86.5489 285.314i −0.483514 1.59393i −0.771456 0.636283i \(-0.780471\pi\)
0.287942 0.957648i \(-0.407029\pi\)
\(180\) −142.958 + 256.636i −0.794211 + 1.42576i
\(181\) −10.3325 104.908i −0.0570856 0.579599i −0.980598 0.196031i \(-0.937195\pi\)
0.923512 0.383569i \(-0.125305\pi\)
\(182\) 43.6366 + 83.3712i 0.239761 + 0.458084i
\(183\) 43.0315 216.334i 0.235145 1.18215i
\(184\) 63.1919 + 100.123i 0.343434 + 0.544146i
\(185\) 37.8549 + 190.309i 0.204621 + 1.02870i
\(186\) 16.7121 155.802i 0.0898497 0.837646i
\(187\) −265.001 80.3873i −1.41712 0.429879i
\(188\) 71.3486 164.131i 0.379514 0.873039i
\(189\) −107.032 + 87.8389i −0.566307 + 0.464756i
\(190\) 202.812 + 206.364i 1.06743 + 1.08613i
\(191\) −144.834 −0.758292 −0.379146 0.925337i \(-0.623782\pi\)
−0.379146 + 0.925337i \(0.623782\pi\)
\(192\) −260.137 + 191.724i −1.35488 + 0.998563i
\(193\) 8.16623i 0.0423121i −0.999776 0.0211560i \(-0.993265\pi\)
0.999776 0.0211560i \(-0.00673468\pi\)
\(194\) 265.231 + 269.876i 1.36717 + 1.39111i
\(195\) −183.415 223.491i −0.940588 1.14611i
\(196\) −132.546 + 52.2250i −0.676253 + 0.266454i
\(197\) 67.1983 221.523i 0.341108 1.12448i −0.603797 0.797138i \(-0.706346\pi\)
0.944905 0.327344i \(-0.106154\pi\)
\(198\) 51.5646 480.724i 0.260427 2.42790i
\(199\) 293.762 58.4330i 1.47619 0.293633i 0.609624 0.792690i \(-0.291320\pi\)
0.866569 + 0.499057i \(0.166320\pi\)
\(200\) 23.9013 33.8293i 0.119506 0.169146i
\(201\) 353.322 + 70.2802i 1.75782 + 0.349653i
\(202\) 64.1775 + 122.616i 0.317711 + 0.607012i
\(203\) −155.220 + 15.2878i −0.764630 + 0.0753095i
\(204\) −104.431 367.089i −0.511917 1.79946i
\(205\) 144.792 43.9222i 0.706304 0.214255i
\(206\) 237.857 + 161.935i 1.15464 + 0.786093i
\(207\) −93.4232 225.544i −0.451320 1.08958i
\(208\) −52.8601 198.866i −0.254135 0.956089i
\(209\) −439.951 182.233i −2.10503 0.871930i
\(210\) −137.555 + 90.1943i −0.655026 + 0.429496i
\(211\) 9.24511 + 4.94161i 0.0438157 + 0.0234200i 0.493159 0.869939i \(-0.335842\pi\)
−0.449343 + 0.893359i \(0.648342\pi\)
\(212\) 0.0922352 + 1.13886i 0.000435072 + 0.00537200i
\(213\) −159.778 + 194.690i −0.750132 + 0.914038i
\(214\) −123.222 102.928i −0.575802 0.480974i
\(215\) −55.9774 83.7761i −0.260360 0.389656i
\(216\) 270.651 135.726i 1.25301 0.628360i
\(217\) 31.5378 47.1996i 0.145335 0.217510i
\(218\) 17.8187 32.6515i 0.0817372 0.149777i
\(219\) −534.322 + 285.601i −2.43983 + 1.30411i
\(220\) 55.3529 255.052i 0.251604 1.15933i
\(221\) 241.851 + 23.8203i 1.09435 + 0.107784i
\(222\) 171.950 405.139i 0.774548 1.82495i
\(223\) −17.2868 + 17.2868i −0.0775191 + 0.0775191i −0.744803 0.667284i \(-0.767457\pi\)
0.667284 + 0.744803i \(0.267457\pi\)
\(224\) −115.704 + 17.8354i −0.516534 + 0.0796223i
\(225\) −60.3921 + 60.3921i −0.268409 + 0.268409i
\(226\) −58.8188 + 23.7674i −0.260260 + 0.105166i
\(227\) 155.451 + 15.3106i 0.684806 + 0.0674475i 0.434436 0.900703i \(-0.356948\pi\)
0.250370 + 0.968150i \(0.419448\pi\)
\(228\) −116.841 645.806i −0.512462 2.83248i
\(229\) 319.702 170.884i 1.39608 0.746220i 0.409936 0.912114i \(-0.365551\pi\)
0.986144 + 0.165894i \(0.0530511\pi\)
\(230\) −37.1582 126.435i −0.161558 0.549719i
\(231\) 150.401 225.091i 0.651087 0.974421i
\(232\) 338.437 + 42.2577i 1.45878 + 0.182145i
\(233\) 125.253 + 187.455i 0.537568 + 0.804528i 0.996469 0.0839595i \(-0.0267566\pi\)
−0.458901 + 0.888488i \(0.651757\pi\)
\(234\) 37.9204 + 422.591i 0.162053 + 1.80594i
\(235\) −126.373 + 153.986i −0.537756 + 0.655258i
\(236\) 16.9883 + 5.47717i 0.0719841 + 0.0232083i
\(237\) −690.560 369.112i −2.91375 1.55743i
\(238\) 28.1499 135.367i 0.118277 0.568768i
\(239\) −88.9230 36.8331i −0.372063 0.154113i 0.188814 0.982013i \(-0.439536\pi\)
−0.560877 + 0.827899i \(0.689536\pi\)
\(240\) 336.890 126.028i 1.40371 0.525115i
\(241\) −31.9602 77.1589i −0.132615 0.320161i 0.843598 0.536976i \(-0.180433\pi\)
−0.976213 + 0.216814i \(0.930433\pi\)
\(242\) 34.9882 + 184.242i 0.144579 + 0.761331i
\(243\) 119.916 36.3760i 0.493480 0.149696i
\(244\) −136.976 + 108.489i −0.561377 + 0.444626i
\(245\) 157.806 15.5426i 0.644107 0.0634390i
\(246\) −327.542 102.472i −1.33147 0.416554i
\(247\) 409.868 + 81.5278i 1.65939 + 0.330072i
\(248\) −90.0310 + 85.4595i −0.363028 + 0.344595i
\(249\) −288.366 + 57.3595i −1.15809 + 0.230359i
\(250\) −209.192 + 168.662i −0.836768 + 0.674647i
\(251\) 71.1822 234.656i 0.283594 0.934885i −0.693207 0.720738i \(-0.743803\pi\)
0.976801 0.214147i \(-0.0686971\pi\)
\(252\) 241.355 + 4.19092i 0.957757 + 0.0166307i
\(253\) 137.592 + 167.656i 0.543841 + 0.662672i
\(254\) 414.418 + 3.59774i 1.63157 + 0.0141643i
\(255\) 424.804i 1.66590i
\(256\) 255.383 + 17.7648i 0.997589 + 0.0693938i
\(257\) 422.472 1.64386 0.821929 0.569589i \(-0.192898\pi\)
0.821929 + 0.569589i \(0.192898\pi\)
\(258\) −1.98396 + 228.529i −0.00768976 + 0.885771i
\(259\) 123.251 101.149i 0.475872 0.390538i
\(260\) −3.97642 + 229.002i −0.0152939 + 0.880775i
\(261\) −672.973 204.144i −2.57844 0.782162i
\(262\) −132.421 164.242i −0.505422 0.626877i
\(263\) 29.1725 + 146.660i 0.110922 + 0.557643i 0.995779 + 0.0917804i \(0.0292558\pi\)
−0.884857 + 0.465862i \(0.845744\pi\)
\(264\) −429.351 + 407.550i −1.62633 + 1.54375i
\(265\) 0.248111 1.24734i 0.000936266 0.00470693i
\(266\) 70.9893 226.910i 0.266877 0.853045i
\(267\) −28.2327 286.651i −0.105740 1.07360i
\(268\) −177.187 223.713i −0.661144 0.834749i
\(269\) −58.0343 191.313i −0.215741 0.711202i −0.996286 0.0861030i \(-0.972559\pi\)
0.780545 0.625099i \(-0.214941\pi\)
\(270\) −331.091 + 62.8751i −1.22626 + 0.232871i
\(271\) −254.254 + 105.316i −0.938208 + 0.388618i −0.798786 0.601615i \(-0.794524\pi\)
−0.139421 + 0.990233i \(0.544524\pi\)
\(272\) −125.329 + 275.143i −0.460770 + 1.01155i
\(273\) −90.9146 + 219.487i −0.333020 + 0.803983i
\(274\) 129.047 + 26.8358i 0.470976 + 0.0979409i
\(275\) 35.7685 66.9181i 0.130067 0.243339i
\(276\) −91.7222 + 284.490i −0.332327 + 1.03076i
\(277\) −304.862 250.194i −1.10058 0.903226i −0.104758 0.994498i \(-0.533407\pi\)
−0.995826 + 0.0912720i \(0.970907\pi\)
\(278\) 204.884 18.3849i 0.736991 0.0661326i
\(279\) 212.818 142.200i 0.762787 0.509678i
\(280\) 129.302 + 16.1448i 0.461792 + 0.0576600i
\(281\) 9.24455 + 6.17701i 0.0328987 + 0.0219822i 0.571911 0.820316i \(-0.306202\pi\)
−0.539012 + 0.842298i \(0.681202\pi\)
\(282\) 433.500 127.402i 1.53723 0.451780i
\(283\) 21.7395 + 40.6717i 0.0768178 + 0.143716i 0.917398 0.397971i \(-0.130286\pi\)
−0.840580 + 0.541687i \(0.817786\pi\)
\(284\) 196.333 35.5212i 0.691312 0.125075i
\(285\) −71.6005 + 726.972i −0.251230 + 2.55078i
\(286\) −141.223 349.493i −0.493786 1.22200i
\(287\) −87.9151 87.9151i −0.306325 0.306325i
\(288\) −512.757 125.347i −1.78041 0.435234i
\(289\) −48.1355 48.1355i −0.166559 0.166559i
\(290\) −349.454 148.316i −1.20501 0.511433i
\(291\) −93.6366 + 950.708i −0.321775 + 3.26704i
\(292\) 469.037 + 101.793i 1.60629 + 0.348607i
\(293\) 79.9309 + 149.540i 0.272802 + 0.510376i 0.980595 0.196043i \(-0.0628093\pi\)
−0.707794 + 0.706419i \(0.750309\pi\)
\(294\) −315.717 172.295i −1.07387 0.586036i
\(295\) −16.5191 11.0377i −0.0559971 0.0374160i
\(296\) −311.663 + 156.293i −1.05292 + 0.528016i
\(297\) 461.172 308.145i 1.55277 1.03753i
\(298\) −106.152 + 127.081i −0.356215 + 0.426446i
\(299\) −147.130 120.746i −0.492073 0.403834i
\(300\) 104.232 8.44163i 0.347441 0.0281388i
\(301\) −39.0282 + 73.0167i −0.129662 + 0.242580i
\(302\) 17.5576 + 26.7771i 0.0581377 + 0.0886660i
\(303\) −133.711 + 322.806i −0.441289 + 1.06537i
\(304\) −260.853 + 449.730i −0.858068 + 1.47938i
\(305\) 179.685 74.4281i 0.589132 0.244027i
\(306\) 350.835 515.321i 1.14652 1.68406i
\(307\) 68.1907 + 224.795i 0.222119 + 0.732230i 0.995195 + 0.0979155i \(0.0312175\pi\)
−0.773075 + 0.634314i \(0.781283\pi\)
\(308\) −206.273 + 58.6813i −0.669716 + 0.190524i
\(309\) 71.2059 + 722.966i 0.230440 + 2.33969i
\(310\) 122.413 64.0712i 0.394881 0.206681i
\(311\) −23.3811 + 117.545i −0.0751803 + 0.377957i −0.999997 0.00245621i \(-0.999218\pi\)
0.924817 + 0.380413i \(0.124218\pi\)
\(312\) 299.771 424.288i 0.960803 1.35990i
\(313\) 37.8851 + 190.461i 0.121039 + 0.608503i 0.992920 + 0.118786i \(0.0379001\pi\)
−0.871881 + 0.489718i \(0.837100\pi\)
\(314\) −500.753 53.7130i −1.59475 0.171061i
\(315\) −257.113 77.9944i −0.816232 0.247601i
\(316\) 227.392 + 577.114i 0.719595 + 1.82631i
\(317\) 31.2439 25.6412i 0.0985613 0.0808872i −0.583822 0.811882i \(-0.698443\pi\)
0.682383 + 0.730994i \(0.260943\pi\)
\(318\) −2.05739 + 2.02197i −0.00646977 + 0.00635840i
\(319\) 624.787 1.95858
\(320\) −267.997 96.7988i −0.837491 0.302496i
\(321\) 405.345i 1.26276i
\(322\) −77.2322 + 75.9028i −0.239852 + 0.235723i
\(323\) −389.531 474.645i −1.20598 1.46949i
\(324\) 156.427 + 67.9994i 0.482799 + 0.209875i
\(325\) −19.3295 + 63.7207i −0.0594753 + 0.196064i
\(326\) 372.172 + 39.9208i 1.14163 + 0.122457i
\(327\) 92.1053 18.3209i 0.281668 0.0560272i
\(328\) 145.109 + 229.914i 0.442405 + 0.700958i
\(329\) 160.541 + 31.9336i 0.487967 + 0.0970628i
\(330\) 583.778 305.550i 1.76903 0.925910i
\(331\) 155.536 15.3189i 0.469896 0.0462807i 0.139702 0.990194i \(-0.455386\pi\)
0.330195 + 0.943913i \(0.392886\pi\)
\(332\) 203.476 + 113.345i 0.612878 + 0.341401i
\(333\) 687.952 208.688i 2.06592 0.626690i
\(334\) 52.9636 77.7951i 0.158574 0.232919i
\(335\) 121.558 + 293.467i 0.362859 + 0.876020i
\(336\) −221.825 195.321i −0.660193 0.581313i
\(337\) −322.449 133.563i −0.956821 0.396328i −0.151031 0.988529i \(-0.548259\pi\)
−0.805790 + 0.592201i \(0.798259\pi\)
\(338\) −3.94948 6.02336i −0.0116849 0.0178206i
\(339\) −141.250 75.4999i −0.416668 0.222714i
\(340\) 217.973 256.391i 0.641098 0.754092i
\(341\) −144.258 + 175.778i −0.423043 + 0.515479i
\(342\) 687.245 822.741i 2.00949 2.40568i
\(343\) −171.983 257.391i −0.501409 0.750412i
\(344\) 118.459 136.911i 0.344358 0.397998i
\(345\) 184.841 276.634i 0.535771 0.801838i
\(346\) 43.5214 + 23.7507i 0.125784 + 0.0686436i
\(347\) 179.475 95.9311i 0.517218 0.276459i −0.192066 0.981382i \(-0.561519\pi\)
0.709283 + 0.704923i \(0.249019\pi\)
\(348\) 465.884 + 724.153i 1.33875 + 2.08090i
\(349\) −385.962 38.0139i −1.10591 0.108922i −0.471459 0.881888i \(-0.656272\pi\)
−0.634448 + 0.772966i \(0.718772\pi\)
\(350\) 34.8731 + 14.8009i 0.0996374 + 0.0422882i
\(351\) −344.178 + 344.178i −0.980564 + 0.980564i
\(352\) 468.255 25.6714i 1.33027 0.0729302i
\(353\) −77.0099 + 77.0099i −0.218158 + 0.218158i −0.807722 0.589564i \(-0.799300\pi\)
0.589564 + 0.807722i \(0.299300\pi\)
\(354\) 16.8830 + 41.7814i 0.0476920 + 0.118026i
\(355\) −221.008 21.7674i −0.622558 0.0613166i
\(356\) −130.045 + 187.496i −0.365295 + 0.526673i
\(357\) 307.848 164.548i 0.862320 0.460920i
\(358\) −572.108 + 168.138i −1.59807 + 0.469658i
\(359\) −189.192 + 283.146i −0.526997 + 0.788706i −0.995501 0.0947551i \(-0.969793\pi\)
0.468504 + 0.883461i \(0.344793\pi\)
\(360\) 510.771 + 290.361i 1.41881 + 0.806558i
\(361\) −386.046 577.759i −1.06938 1.60044i
\(362\) −209.986 + 18.8428i −0.580073 + 0.0520519i
\(363\) −300.360 + 365.990i −0.827439 + 1.00824i
\(364\) 167.494 85.8224i 0.460148 0.235776i
\(365\) −471.139 251.829i −1.29079 0.689943i
\(366\) −431.905 89.8158i −1.18007 0.245398i
\(367\) 341.521 + 141.462i 0.930574 + 0.385456i 0.795896 0.605433i \(-0.207000\pi\)
0.134678 + 0.990889i \(0.457000\pi\)
\(368\) 201.335 124.641i 0.547107 0.338697i
\(369\) −214.530 517.920i −0.581381 1.40358i
\(370\) 381.261 72.4027i 1.03044 0.195683i
\(371\) −1.00003 + 0.303356i −0.00269550 + 0.000817670i
\(372\) −311.302 36.1279i −0.836835 0.0971180i
\(373\) 192.994 19.0082i 0.517410 0.0509604i 0.164057 0.986451i \(-0.447542\pi\)
0.353352 + 0.935490i \(0.385042\pi\)
\(374\) −165.370 + 528.587i −0.442165 + 1.41333i
\(375\) −665.378 132.352i −1.77434 0.352938i
\(376\) −327.012 145.542i −0.869712 0.387078i
\(377\) −537.759 + 106.967i −1.42642 + 0.283732i
\(378\) 173.813 + 215.581i 0.459822 + 0.570320i
\(379\) −90.7955 + 299.313i −0.239566 + 0.789743i 0.751888 + 0.659290i \(0.229143\pi\)
−0.991454 + 0.130453i \(0.958357\pi\)
\(380\) 416.235 402.026i 1.09535 1.05796i
\(381\) 663.766 + 808.801i 1.74217 + 2.12284i
\(382\) −2.51463 + 289.657i −0.00658281 + 0.758264i
\(383\) 655.619i 1.71180i −0.517141 0.855900i \(-0.673004\pi\)
0.517141 0.855900i \(-0.326996\pi\)
\(384\) 378.917 + 523.584i 0.986763 + 1.36350i
\(385\) 238.703 0.620009
\(386\) −16.3318 0.141784i −0.0423105 0.000367315i
\(387\) −288.567 + 236.821i −0.745651 + 0.611940i
\(388\) 544.337 525.756i 1.40293 1.35504i
\(389\) 649.597 + 197.053i 1.66991 + 0.506563i 0.976780 0.214245i \(-0.0687291\pi\)
0.693135 + 0.720808i \(0.256229\pi\)
\(390\) −450.151 + 362.935i −1.15423 + 0.930603i
\(391\) 54.5588 + 274.285i 0.139536 + 0.701497i
\(392\) 102.145 + 265.988i 0.260573 + 0.678540i
\(393\) 103.913 522.405i 0.264409 1.32927i
\(394\) −441.863 138.238i −1.12148 0.350857i
\(395\) −67.6737 687.102i −0.171326 1.73950i
\(396\) −960.516 111.472i −2.42554 0.281494i
\(397\) 26.0025 + 85.7188i 0.0654975 + 0.215916i 0.983580 0.180473i \(-0.0577629\pi\)
−0.918082 + 0.396390i \(0.870263\pi\)
\(398\) −111.761 588.517i −0.280807 1.47869i
\(399\) 554.559 229.706i 1.38987 0.575704i
\(400\) −67.2411 48.3881i −0.168103 0.120970i
\(401\) −80.9609 + 195.457i −0.201897 + 0.487423i −0.992104 0.125417i \(-0.959973\pi\)
0.790207 + 0.612840i \(0.209973\pi\)
\(402\) 146.690 705.398i 0.364899 1.75472i
\(403\) 94.0694 175.992i 0.233423 0.436704i
\(404\) 246.338 126.221i 0.609747 0.312429i
\(405\) −146.757 120.441i −0.362363 0.297384i
\(406\) 27.8796 + 310.694i 0.0686689 + 0.765255i
\(407\) −531.054 + 354.839i −1.30480 + 0.871840i
\(408\) −735.964 + 202.481i −1.80383 + 0.496276i
\(409\) 90.9589 + 60.7768i 0.222393 + 0.148598i 0.661776 0.749701i \(-0.269803\pi\)
−0.439383 + 0.898300i \(0.644803\pi\)
\(410\) −85.3273 290.336i −0.208115 0.708137i
\(411\) 156.867 + 293.477i 0.381671 + 0.714056i
\(412\) 327.988 472.884i 0.796087 1.14778i
\(413\) −1.60015 + 16.2466i −0.00387446 + 0.0393380i
\(414\) −452.692 + 182.923i −1.09346 + 0.441844i
\(415\) −183.316 183.316i −0.441726 0.441726i
\(416\) −398.636 + 102.263i −0.958259 + 0.245825i
\(417\) 367.228 + 367.228i 0.880642 + 0.880642i
\(418\) −372.092 + 876.704i −0.890172 + 2.09738i
\(419\) 6.06050 61.5333i 0.0144642 0.146857i −0.985240 0.171179i \(-0.945242\pi\)
0.999704 + 0.0243212i \(0.00774246\pi\)
\(420\) 177.993 + 276.667i 0.423794 + 0.658730i
\(421\) 98.1322 + 183.592i 0.233093 + 0.436086i 0.971089 0.238719i \(-0.0767275\pi\)
−0.737996 + 0.674806i \(0.764227\pi\)
\(422\) 10.0434 18.4037i 0.0237995 0.0436107i
\(423\) 613.661 + 410.035i 1.45073 + 0.969350i
\(424\) 2.27924 0.164690i 0.00537558 0.000388420i
\(425\) 81.3495 54.3560i 0.191411 0.127897i
\(426\) 386.591 + 322.924i 0.907492 + 0.758038i
\(427\) −123.538 101.385i −0.289316 0.237436i
\(428\) −207.989 + 244.647i −0.485955 + 0.571605i
\(429\) 448.610 839.289i 1.04571 1.95639i
\(430\) −168.518 + 110.496i −0.391902 + 0.256968i
\(431\) 60.9609 147.173i 0.141441 0.341468i −0.837246 0.546826i \(-0.815836\pi\)
0.978687 + 0.205358i \(0.0658359\pi\)
\(432\) −266.742 543.638i −0.617459 1.25842i
\(433\) 290.682 120.404i 0.671321 0.278070i −0.0208725 0.999782i \(-0.506644\pi\)
0.692194 + 0.721712i \(0.256644\pi\)
\(434\) −93.8481 63.8927i −0.216240 0.147218i
\(435\) −278.216 917.154i −0.639576 2.10840i
\(436\) −64.9911 36.2030i −0.149062 0.0830344i
\(437\) 47.1364 + 478.583i 0.107864 + 1.09516i
\(438\) 561.904 + 1073.56i 1.28289 + 2.45106i
\(439\) −118.179 + 594.126i −0.269200 + 1.35336i 0.575359 + 0.817901i \(0.304862\pi\)
−0.844560 + 0.535461i \(0.820138\pi\)
\(440\) −509.123 115.130i −1.15710 0.261659i
\(441\) −114.616 576.212i −0.259899 1.30660i
\(442\) 51.8379 483.271i 0.117280 1.09337i
\(443\) −500.689 151.882i −1.13022 0.342849i −0.330849 0.943684i \(-0.607335\pi\)
−0.799374 + 0.600834i \(0.794835\pi\)
\(444\) −807.262 350.920i −1.81816 0.790361i
\(445\) 196.328 161.122i 0.441186 0.362072i
\(446\) 34.2721 + 34.8723i 0.0768432 + 0.0781891i
\(447\) −418.041 −0.935214
\(448\) 33.6606 + 231.708i 0.0751352 + 0.517206i
\(449\) 273.150i 0.608351i 0.952616 + 0.304175i \(0.0983809\pi\)
−0.952616 + 0.304175i \(0.901619\pi\)
\(450\) 119.731 + 121.828i 0.266069 + 0.270729i
\(451\) 315.955 + 384.992i 0.700565 + 0.853641i
\(452\) 46.5119 + 118.046i 0.102902 + 0.261163i
\(453\) −23.4665 + 77.3586i −0.0518024 + 0.170769i
\(454\) 33.3190 310.624i 0.0733898 0.684194i
\(455\) −205.454 + 40.8673i −0.451547 + 0.0898182i
\(456\) −1293.59 + 222.461i −2.83682 + 0.487853i
\(457\) −237.255 47.1930i −0.519158 0.103267i −0.0714454 0.997445i \(-0.522761\pi\)
−0.447712 + 0.894178i \(0.647761\pi\)
\(458\) −336.205 642.347i −0.734072 1.40250i
\(459\) 711.729 70.0992i 1.55061 0.152722i
\(460\) −253.506 + 72.1185i −0.551101 + 0.156779i
\(461\) −574.545 + 174.286i −1.24630 + 0.378061i −0.843452 0.537205i \(-0.819480\pi\)
−0.402850 + 0.915266i \(0.631980\pi\)
\(462\) −447.554 304.699i −0.968732 0.659522i
\(463\) −144.873 349.753i −0.312900 0.755406i −0.999595 0.0284611i \(-0.990939\pi\)
0.686695 0.726945i \(-0.259061\pi\)
\(464\) 90.3883 676.116i 0.194802 1.45715i
\(465\) 322.271 + 133.489i 0.693056 + 0.287073i
\(466\) 377.071 247.243i 0.809164 0.530564i
\(467\) 356.123 + 190.352i 0.762576 + 0.407605i 0.806352 0.591436i \(-0.201439\pi\)
−0.0437761 + 0.999041i \(0.513939\pi\)
\(468\) 845.808 68.5009i 1.80728 0.146369i
\(469\) 165.585 201.766i 0.353059 0.430204i
\(470\) 305.765 + 255.409i 0.650565 + 0.543424i
\(471\) −706.396 1057.20i −1.49978 2.24458i
\(472\) 11.2489 33.8801i 0.0238324 0.0717799i
\(473\) 184.255 275.757i 0.389545 0.582996i
\(474\) −750.185 + 1374.66i −1.58267 + 2.90012i
\(475\) 148.376 79.3086i 0.312371 0.166966i
\(476\) −270.235 58.6480i −0.567720 0.123210i
\(477\) −4.68922 0.461848i −0.00983065 0.000968235i
\(478\) −75.2074 + 177.200i −0.157338 + 0.370711i
\(479\) 580.308 580.308i 1.21150 1.21150i 0.240966 0.970533i \(-0.422536\pi\)
0.970533 0.240966i \(-0.0774643\pi\)
\(480\) −246.197 675.942i −0.512910 1.40821i
\(481\) 396.332 396.332i 0.823975 0.823975i
\(482\) −154.867 + 62.5784i −0.321300 + 0.129831i
\(483\) −272.070 26.7966i −0.563293 0.0554795i
\(484\) 369.078 66.7748i 0.762558 0.137964i
\(485\) −742.882 + 397.079i −1.53171 + 0.818719i
\(486\) −70.6673 240.454i −0.145406 0.494761i
\(487\) −113.978 + 170.579i −0.234040 + 0.350266i −0.929836 0.367973i \(-0.880052\pi\)
0.695796 + 0.718239i \(0.255052\pi\)
\(488\) 214.591 + 275.825i 0.439736 + 0.565216i
\(489\) 525.011 + 785.734i 1.07364 + 1.60682i
\(490\) −28.3441 315.871i −0.0578451 0.644634i
\(491\) 538.647 656.343i 1.09704 1.33675i 0.160163 0.987091i \(-0.448798\pi\)
0.936878 0.349658i \(-0.113702\pi\)
\(492\) −210.624 + 653.281i −0.428097 + 1.32781i
\(493\) 710.488 + 379.764i 1.44115 + 0.770311i
\(494\) 170.166 818.290i 0.344465 1.65646i
\(495\) 994.358 + 411.877i 2.00880 + 0.832074i
\(496\) 169.350 + 181.539i 0.341430 + 0.366006i
\(497\) 69.8333 + 168.593i 0.140510 + 0.339220i
\(498\) 109.708 + 577.705i 0.220297 + 1.16005i
\(499\) 822.621 249.539i 1.64854 0.500079i 0.676807 0.736161i \(-0.263363\pi\)
0.971733 + 0.236082i \(0.0758633\pi\)
\(500\) 333.679 + 421.297i 0.667357 + 0.842593i
\(501\) 236.458 23.2891i 0.471972 0.0464852i
\(502\) −468.059 146.433i −0.932388 0.291699i
\(503\) −198.741 39.5320i −0.395110 0.0785924i −0.00646350 0.999979i \(-0.502057\pi\)
−0.388647 + 0.921387i \(0.627057\pi\)
\(504\) 12.5720 482.619i 0.0249444 0.957577i
\(505\) −302.167 + 60.1047i −0.598350 + 0.119019i
\(506\) 337.688 272.262i 0.667369 0.538068i
\(507\) 5.27865 17.4014i 0.0104115 0.0343223i
\(508\) 14.3904 828.742i 0.0283276 1.63138i
\(509\) −315.528 384.472i −0.619897 0.755347i 0.364520 0.931196i \(-0.381233\pi\)
−0.984417 + 0.175848i \(0.943733\pi\)
\(510\) 849.576 + 7.37553i 1.66584 + 0.0144618i
\(511\) 438.973i 0.859047i
\(512\) 39.9623 510.438i 0.0780514 0.996949i
\(513\) 1229.80 2.39728
\(514\) 7.33504 844.912i 0.0142705 1.64380i
\(515\) −495.160 + 406.367i −0.961476 + 0.789063i
\(516\) 457.006 + 7.93553i 0.885671 + 0.0153789i
\(517\) −627.459 190.338i −1.21365 0.368158i
\(518\) −200.151 248.248i −0.386392 0.479244i
\(519\) 24.4200 + 122.768i 0.0470521 + 0.236547i
\(520\) 457.917 + 11.9285i 0.880609 + 0.0229394i
\(521\) −57.9901 + 291.536i −0.111305 + 0.559569i 0.884379 + 0.466769i \(0.154582\pi\)
−0.995685 + 0.0928007i \(0.970418\pi\)
\(522\) −419.957 + 1342.35i −0.804516 + 2.57155i
\(523\) −32.1857 326.787i −0.0615406 0.624832i −0.975645 0.219354i \(-0.929605\pi\)
0.914105 0.405478i \(-0.132895\pi\)
\(524\) −330.770 + 261.979i −0.631241 + 0.499961i
\(525\) 27.7640 + 91.5256i 0.0528838 + 0.174334i
\(526\) 293.815 55.7964i 0.558585 0.106077i
\(527\) −270.888 + 112.206i −0.514020 + 0.212914i
\(528\) 807.614 + 865.745i 1.52957 + 1.63967i
\(529\) −118.621 + 286.377i −0.224237 + 0.541355i
\(530\) −2.49027 0.517859i −0.00469862 0.000977093i
\(531\) −34.6988 + 64.9169i −0.0653462 + 0.122254i
\(532\) −452.570 145.913i −0.850696 0.274272i
\(533\) −337.858 277.273i −0.633879 0.520211i
\(534\) −573.771 + 51.4863i −1.07448 + 0.0964164i
\(535\) 297.179 198.568i 0.555474 0.371156i
\(536\) −450.485 + 350.476i −0.840457 + 0.653873i
\(537\) −1251.74 836.389i −2.33100 1.55752i
\(538\) −383.620 + 112.743i −0.713048 + 0.209559i
\(539\) 246.044 + 460.317i 0.456483 + 0.854020i
\(540\) 119.997 + 663.248i 0.222217 + 1.22824i
\(541\) −29.2114 + 296.588i −0.0539951 + 0.548222i 0.929692 + 0.368337i \(0.120073\pi\)
−0.983688 + 0.179885i \(0.942427\pi\)
\(542\) 206.209 + 510.318i 0.380459 + 0.941546i
\(543\) −376.374 376.374i −0.693138 0.693138i
\(544\) 548.089 + 255.426i 1.00752 + 0.469534i
\(545\) 58.5520 + 58.5520i 0.107435 + 0.107435i
\(546\) 437.379 + 185.633i 0.801061 + 0.339987i
\(547\) −20.5691 + 208.841i −0.0376034 + 0.381794i 0.957902 + 0.287094i \(0.0926891\pi\)
−0.995506 + 0.0946999i \(0.969811\pi\)
\(548\) 55.9101 257.619i 0.102026 0.470108i
\(549\) −339.681 635.498i −0.618727 1.15756i
\(550\) −133.210 72.6961i −0.242200 0.132175i
\(551\) 1151.86 + 769.646i 2.09048 + 1.39682i
\(552\) 567.366 + 188.377i 1.02784 + 0.341262i
\(553\) −471.718 + 315.192i −0.853016 + 0.569967i
\(554\) −505.661 + 605.357i −0.912746 + 1.09270i
\(555\) 757.361 + 621.550i 1.36461 + 1.11991i
\(556\) −33.2111 410.071i −0.0597323 0.737538i
\(557\) 353.444 661.247i 0.634550 1.18716i −0.334989 0.942222i \(-0.608733\pi\)
0.969539 0.244937i \(-0.0787672\pi\)
\(558\) −280.695 428.088i −0.503037 0.767183i
\(559\) −111.379 + 268.892i −0.199246 + 0.481023i
\(560\) 34.5333 258.314i 0.0616667 0.461275i
\(561\) −1291.84 + 535.100i −2.30275 + 0.953832i
\(562\) 12.5141 18.3812i 0.0222670 0.0327067i
\(563\) 227.673 + 750.536i 0.404392 + 1.33310i 0.888814 + 0.458267i \(0.151530\pi\)
−0.484423 + 0.874834i \(0.660970\pi\)
\(564\) −247.268 869.179i −0.438418 1.54110i
\(565\) −13.8423 140.543i −0.0244996 0.248749i
\(566\) 81.7177 42.7711i 0.144378 0.0755673i
\(567\) −30.4346 + 153.005i −0.0536766 + 0.269850i
\(568\) −67.6309 393.267i −0.119068 0.692372i
\(569\) 195.182 + 981.246i 0.343026 + 1.72451i 0.638907 + 0.769284i \(0.279387\pi\)
−0.295881 + 0.955225i \(0.595613\pi\)
\(570\) 1452.65 + 155.817i 2.54850 + 0.273364i
\(571\) −449.878 136.469i −0.787878 0.239000i −0.129392 0.991593i \(-0.541303\pi\)
−0.658486 + 0.752593i \(0.728803\pi\)
\(572\) −701.411 + 276.367i −1.22624 + 0.483159i
\(573\) −565.310 + 463.938i −0.986580 + 0.809665i
\(574\) −177.350 + 174.297i −0.308972 + 0.303654i
\(575\) −76.6266 −0.133264
\(576\) −259.588 + 1023.30i −0.450673 + 1.77656i
\(577\) 473.012i 0.819779i −0.912135 0.409890i \(-0.865567\pi\)
0.912135 0.409890i \(-0.134433\pi\)
\(578\) −97.1031 + 95.4316i −0.167998 + 0.165107i
\(579\) −26.1584 31.8742i −0.0451787 0.0550504i
\(580\) −302.688 + 696.307i −0.521875 + 1.20053i
\(581\) −61.8384 + 203.854i −0.106434 + 0.350867i
\(582\) 1899.72 + 203.773i 3.26412 + 0.350125i
\(583\) 4.10573 0.816680i 0.00704241 0.00140082i
\(584\) 211.723 936.272i 0.362539 1.60321i
\(585\) −926.367 184.266i −1.58353 0.314984i
\(586\) 300.457 157.259i 0.512725 0.268361i
\(587\) −277.370 + 27.3186i −0.472522 + 0.0465394i −0.331476 0.943464i \(-0.607547\pi\)
−0.141046 + 0.990003i \(0.545047\pi\)
\(588\) −350.058 + 628.419i −0.595336 + 1.06874i
\(589\) −482.486 + 146.361i −0.819162 + 0.248490i
\(590\) −22.3614 + 32.8454i −0.0379007 + 0.0556701i
\(591\) −447.307 1079.89i −0.756864 1.82723i
\(592\) 307.162 + 626.017i 0.518855 + 1.05746i
\(593\) 1048.47 + 434.291i 1.76808 + 0.732363i 0.995206 + 0.0978046i \(0.0311820\pi\)
0.772875 + 0.634558i \(0.218818\pi\)
\(594\) −608.260 927.659i −1.02401 1.56171i
\(595\) 271.446 + 145.091i 0.456211 + 0.243850i
\(596\) 252.309 + 214.503i 0.423338 + 0.359904i
\(597\) 959.429 1169.07i 1.60708 1.95824i
\(598\) −244.038 + 292.152i −0.408091 + 0.488549i
\(599\) −140.964 210.967i −0.235331 0.352198i 0.694942 0.719066i \(-0.255430\pi\)
−0.930273 + 0.366868i \(0.880430\pi\)
\(600\) −15.0729 208.603i −0.0251215 0.347672i
\(601\) −537.961 + 805.116i −0.895110 + 1.33963i 0.0450824 + 0.998983i \(0.485645\pi\)
−0.940192 + 0.340644i \(0.889355\pi\)
\(602\) 145.350 + 79.3212i 0.241446 + 0.131763i
\(603\) 1037.91 554.776i 1.72125 0.920026i
\(604\) 53.8571 34.6489i 0.0891673 0.0573658i
\(605\) −415.465 40.9197i −0.686718 0.0676358i
\(606\) 643.266 + 273.016i 1.06150 + 0.450521i
\(607\) 412.354 412.354i 0.679331 0.679331i −0.280518 0.959849i \(-0.590506\pi\)
0.959849 + 0.280518i \(0.0905062\pi\)
\(608\) 894.898 + 529.494i 1.47187 + 0.870878i
\(609\) −556.879 + 556.879i −0.914415 + 0.914415i
\(610\) −145.731 360.649i −0.238903 0.591228i
\(611\) 572.646 + 56.4007i 0.937227 + 0.0923088i
\(612\) −1024.51 710.591i −1.67404 1.16110i
\(613\) 431.965 230.890i 0.704674 0.376656i −0.0798056 0.996810i \(-0.525430\pi\)
0.784480 + 0.620154i \(0.212930\pi\)
\(614\) 450.756 132.473i 0.734130 0.215755i
\(615\) 424.454 635.241i 0.690170 1.03291i
\(616\) 113.777 + 413.548i 0.184702 + 0.671345i
\(617\) −138.752 207.658i −0.224882 0.336560i 0.701821 0.712353i \(-0.252370\pi\)
−0.926704 + 0.375793i \(0.877370\pi\)
\(618\) 1447.11 129.854i 2.34161 0.210120i
\(619\) −69.6476 + 84.8659i −0.112516 + 0.137102i −0.826223 0.563343i \(-0.809515\pi\)
0.713707 + 0.700445i \(0.247015\pi\)
\(620\) −126.012 245.929i −0.203245 0.396660i
\(621\) −493.982 264.039i −0.795463 0.425184i
\(622\) 234.674 + 48.8012i 0.377290 + 0.0784585i
\(623\) −192.810 79.8646i −0.309487 0.128194i
\(624\) −843.340 606.885i −1.35151 0.972572i
\(625\) −179.384 433.070i −0.287014 0.692913i
\(626\) 381.566 72.4606i 0.609531 0.115752i
\(627\) −2300.94 + 697.982i −3.66976 + 1.11321i
\(628\) −116.116 + 1000.54i −0.184898 + 1.59321i
\(629\) −819.579 + 80.7214i −1.30299 + 0.128333i
\(630\) −160.447 + 512.853i −0.254678 + 0.814052i
\(631\) −351.123 69.8427i −0.556455 0.110686i −0.0911514 0.995837i \(-0.529055\pi\)
−0.465303 + 0.885151i \(0.654055\pi\)
\(632\) 1158.13 444.747i 1.83249 0.703714i
\(633\) 51.9144 10.3264i 0.0820133 0.0163135i
\(634\) −50.7381 62.9307i −0.0800285 0.0992598i
\(635\) −267.810 + 882.851i −0.421748 + 1.39032i
\(636\) 4.00807 + 4.14973i 0.00630200 + 0.00652473i
\(637\) −290.581 354.074i −0.456171 0.555846i
\(638\) 10.8477 1249.53i 0.0170026 1.95851i
\(639\) 822.796i 1.28763i
\(640\) −198.243 + 534.294i −0.309755 + 0.834834i
\(641\) 231.424 0.361037 0.180518 0.983572i \(-0.442222\pi\)
0.180518 + 0.983572i \(0.442222\pi\)
\(642\) −810.660 7.03768i −1.26271 0.0109621i
\(643\) −535.451 + 439.434i −0.832739 + 0.683412i −0.950871 0.309586i \(-0.899809\pi\)
0.118132 + 0.992998i \(0.462309\pi\)
\(644\) 150.459 + 155.777i 0.233632 + 0.241889i
\(645\) −486.845 147.683i −0.754798 0.228966i
\(646\) −956.017 + 770.791i −1.47990 + 1.19318i
\(647\) −19.6157 98.6148i −0.0303179 0.152419i 0.962661 0.270710i \(-0.0872584\pi\)
−0.992979 + 0.118291i \(0.962258\pi\)
\(648\) 138.710 311.661i 0.214058 0.480958i
\(649\) 12.7580 64.1388i 0.0196579 0.0988272i
\(650\) 127.101 + 39.7638i 0.195540 + 0.0611751i
\(651\) −28.0948 285.251i −0.0431564 0.438174i
\(652\) 86.3004 743.622i 0.132363 1.14052i
\(653\) 141.739 + 467.250i 0.217058 + 0.715544i 0.996073 + 0.0885384i \(0.0282196\pi\)
−0.779015 + 0.627005i \(0.784280\pi\)
\(654\) −35.0412 184.522i −0.0535799 0.282143i
\(655\) 433.905 179.729i 0.662451 0.274396i
\(656\) 462.330 286.215i 0.704772 0.436303i
\(657\) −757.437 + 1828.61i −1.15287 + 2.78328i
\(658\) 66.6522 320.516i 0.101295 0.487106i
\(659\) 613.814 1148.37i 0.931433 1.74259i 0.329220 0.944253i \(-0.393214\pi\)
0.602213 0.798336i \(-0.294286\pi\)
\(660\) −600.942 1172.82i −0.910518 1.77700i
\(661\) 459.686 + 377.255i 0.695440 + 0.570733i 0.914307 0.405022i \(-0.132736\pi\)
−0.218867 + 0.975755i \(0.570236\pi\)
\(662\) −27.9363 311.326i −0.0421998 0.470280i
\(663\) 1020.29 681.735i 1.53890 1.02826i
\(664\) 230.215 404.968i 0.346709 0.609892i
\(665\) 440.073 + 294.047i 0.661764 + 0.442177i
\(666\) −405.416 1379.48i −0.608732 2.07128i
\(667\) −297.429 556.451i −0.445921 0.834260i
\(668\) −154.665 107.274i −0.231534 0.160590i
\(669\) −12.0994 + 122.847i −0.0180857 + 0.183628i
\(670\) 589.022 238.011i 0.879137 0.355241i
\(671\) 452.677 + 452.677i 0.674630 + 0.674630i
\(672\) −394.479 + 440.242i −0.587023 + 0.655121i
\(673\) −196.717 196.717i −0.292299 0.292299i 0.545689 0.837988i \(-0.316268\pi\)
−0.837988 + 0.545689i \(0.816268\pi\)
\(674\) −272.714 + 642.554i −0.404620 + 0.953344i
\(675\) −19.2072 + 195.014i −0.0284551 + 0.288909i
\(676\) −12.1148 + 7.79409i −0.0179214 + 0.0115297i
\(677\) 191.631 + 358.516i 0.283059 + 0.529566i 0.982764 0.184866i \(-0.0591851\pi\)
−0.699705 + 0.714432i \(0.746685\pi\)
\(678\) −153.447 + 281.179i −0.226322 + 0.414719i
\(679\) 575.512 + 384.545i 0.847588 + 0.566340i
\(680\) −508.979 440.382i −0.748499 0.647620i
\(681\) 655.794 438.188i 0.962987 0.643447i
\(682\) 349.039 + 291.556i 0.511787 + 0.427502i
\(683\) −133.850 109.848i −0.195973 0.160831i 0.531289 0.847191i \(-0.321708\pi\)
−0.727263 + 0.686359i \(0.759208\pi\)
\(684\) −1633.49 1388.72i −2.38814 2.03030i
\(685\) −138.317 + 258.774i −0.201923 + 0.377772i
\(686\) −517.749 + 339.485i −0.754737 + 0.494876i
\(687\) 700.466 1691.07i 1.01960 2.46154i
\(688\) −271.755 239.286i −0.394993 0.347800i
\(689\) −3.39401 + 1.40584i −0.00492599 + 0.00204041i
\(690\) −550.038 374.471i −0.797157 0.542712i
\(691\) −106.644 351.558i −0.154333 0.508768i 0.845343 0.534224i \(-0.179396\pi\)
−0.999676 + 0.0254563i \(0.991896\pi\)
\(692\) 48.2552 86.6271i 0.0697330 0.125184i
\(693\) −86.6858 880.135i −0.125088 1.27004i
\(694\) −188.739 360.601i −0.271958 0.519598i
\(695\) −89.3372 + 449.129i −0.128543 + 0.646228i
\(696\) 1456.34 919.159i 2.09244 1.32063i
\(697\) 125.284 + 629.847i 0.179748 + 0.903655i
\(698\) −82.7261 + 771.234i −0.118519 + 1.10492i
\(699\) 1089.35 + 330.451i 1.55844 + 0.472748i
\(700\) 30.2061 69.4866i 0.0431516 0.0992665i
\(701\) 665.947 546.528i 0.949995 0.779641i −0.0254968 0.999675i \(-0.508117\pi\)
0.975492 + 0.220034i \(0.0706168\pi\)
\(702\) 682.354 + 694.305i 0.972014 + 0.989039i
\(703\) −1416.16 −2.01445
\(704\) −43.2110 936.921i −0.0613792 1.33085i
\(705\) 1005.83i 1.42671i
\(706\) 152.677 + 155.351i 0.216256 + 0.220044i
\(707\) 160.601 + 195.693i 0.227159 + 0.276794i
\(708\) 83.8527 33.0393i 0.118436 0.0466656i
\(709\) 30.4509 100.383i 0.0429490 0.141584i −0.932844 0.360281i \(-0.882681\pi\)
0.975793 + 0.218697i \(0.0701807\pi\)
\(710\) −47.3704 + 441.622i −0.0667188 + 0.622003i
\(711\) −2508.87 + 499.046i −3.52866 + 0.701893i
\(712\) 372.719 + 263.336i 0.523482 + 0.369853i
\(713\) 225.227 + 44.8004i 0.315886 + 0.0628336i
\(714\) −323.739 618.530i −0.453416 0.866289i
\(715\) 835.087 82.2489i 1.16795 0.115033i
\(716\) 326.330 + 1147.09i 0.455768 + 1.60209i
\(717\) −465.067 + 141.076i −0.648629 + 0.196759i
\(718\) 562.985 + 383.285i 0.784102 + 0.533824i
\(719\) 75.4227 + 182.086i 0.104899 + 0.253249i 0.967611 0.252447i \(-0.0812354\pi\)
−0.862711 + 0.505697i \(0.831235\pi\)
\(720\) 589.568 1016.46i 0.818845 1.41175i
\(721\) 486.288 + 201.427i 0.674464 + 0.279372i
\(722\) −1162.18 + 762.032i −1.60966 + 1.05545i
\(723\) −371.905 198.787i −0.514391 0.274948i
\(724\) 34.0383 + 420.284i 0.0470142 + 0.580503i
\(725\) −140.035 + 170.633i −0.193151 + 0.235356i
\(726\) 726.738 + 607.052i 1.00102 + 0.836160i
\(727\) 255.646 + 382.602i 0.351646 + 0.526275i 0.964556 0.263877i \(-0.0850014\pi\)
−0.612911 + 0.790152i \(0.710001\pi\)
\(728\) −168.730 336.465i −0.231772 0.462177i
\(729\) 564.744 845.200i 0.774684 1.15940i
\(730\) −511.820 + 937.871i −0.701123 + 1.28475i
\(731\) 377.142 201.587i 0.515926 0.275768i
\(732\) −187.124 + 862.217i −0.255633 + 1.17789i
\(733\) −792.136 78.0186i −1.08068 0.106437i −0.458027 0.888938i \(-0.651444\pi\)
−0.622650 + 0.782501i \(0.713944\pi\)
\(734\) 288.844 680.559i 0.393520 0.927193i
\(735\) 566.158 566.158i 0.770282 0.770282i
\(736\) −245.776 404.819i −0.333935 0.550026i
\(737\) −739.324 + 739.324i −1.00315 + 1.00315i
\(738\) −1039.53 + 420.051i −1.40857 + 0.569175i
\(739\) −702.751 69.2150i −0.950949 0.0936603i −0.389368 0.921082i \(-0.627307\pi\)
−0.561581 + 0.827422i \(0.689807\pi\)
\(740\) −138.180 763.751i −0.186730 1.03210i
\(741\) 1860.94 994.692i 2.51139 1.34236i
\(742\) 0.589326 + 2.00525i 0.000794239 + 0.00270249i
\(743\) −174.876 + 261.721i −0.235365 + 0.352249i −0.930284 0.366839i \(-0.880440\pi\)
0.694919 + 0.719088i \(0.255440\pi\)
\(744\) −77.6580 + 621.954i −0.104379 + 0.835960i
\(745\) −204.788 306.486i −0.274883 0.411391i
\(746\) −34.6642 386.303i −0.0464668 0.517832i
\(747\) −609.343 + 742.486i −0.815720 + 0.993958i
\(748\) 1054.26 + 339.904i 1.40944 + 0.454417i
\(749\) −259.012 138.445i −0.345810 0.184839i
\(750\) −276.246 + 1328.41i −0.368328 + 1.77121i
\(751\) −1283.12 531.485i −1.70855 0.707703i −0.999998 0.00204161i \(-0.999350\pi\)
−0.708549 0.705662i \(-0.750650\pi\)
\(752\) −296.750 + 651.471i −0.394614 + 0.866318i
\(753\) −473.826 1143.92i −0.629250 1.51914i