Properties

Label 177.4.e.a.4.10
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.10
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.10

$q$-expansion

\(f(q)\) \(=\) \(q+(1.07661 + 0.117088i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-6.66759 - 1.46765i) q^{4} +(6.87670 + 5.22753i) q^{5} +(-2.35866 + 2.23424i) q^{6} +(7.63111 - 19.1526i) q^{7} +(-15.2167 - 5.12709i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(1.07661 + 0.117088i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-6.66759 - 1.46765i) q^{4} +(6.87670 + 5.22753i) q^{5} +(-2.35866 + 2.23424i) q^{6} +(7.63111 - 19.1526i) q^{7} +(-15.2167 - 5.12709i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(6.79142 + 6.43318i) q^{10} +(58.4670 - 27.0497i) q^{11} +(16.3053 - 12.3949i) q^{12} +(-12.7082 + 77.5166i) q^{13} +(10.4583 - 19.7264i) q^{14} +(-25.3083 + 5.57078i) q^{15} +(33.7876 + 15.6318i) q^{16} +(17.0727 + 42.8492i) q^{17} +(-0.527670 - 9.73231i) q^{18} +(72.8150 + 107.394i) q^{19} +(-38.1788 - 44.9476i) q^{20} +(28.9714 + 54.6459i) q^{21} +(66.1132 - 22.2761i) q^{22} +(-0.752907 + 13.8865i) q^{23} +(41.2762 - 24.8351i) q^{24} +(-13.4791 - 48.5474i) q^{25} +(-22.7580 + 81.9670i) q^{26} +(23.1351 + 13.9200i) q^{27} +(-78.9904 + 116.502i) q^{28} +(212.803 - 23.1437i) q^{29} +(-27.8994 + 3.03424i) q^{30} +(162.441 - 239.582i) q^{31} +(144.616 + 87.0123i) q^{32} +(-51.7034 + 186.219i) q^{33} +(13.3634 + 48.1308i) q^{34} +(152.598 - 91.8151i) q^{35} +(-3.32656 + 61.3548i) q^{36} +(-78.4246 + 26.4243i) q^{37} +(65.8186 + 124.147i) q^{38} +(-152.559 - 179.607i) q^{39} +(-77.8384 - 114.803i) q^{40} +(-7.91340 - 145.954i) q^{41} +(24.7925 + 62.2244i) q^{42} +(-127.758 - 59.1072i) q^{43} +(-429.534 + 94.5475i) q^{44} +(36.4153 - 68.6865i) q^{45} +(-2.43653 + 14.8622i) q^{46} +(-78.6113 + 59.7588i) q^{47} +(-101.363 + 46.8954i) q^{48} +(-59.5733 - 56.4308i) q^{49} +(-8.82740 - 53.8448i) q^{50} +(-131.132 - 44.1835i) q^{51} +(198.500 - 498.198i) q^{52} +(-389.201 + 368.670i) q^{53} +(23.2776 + 17.6952i) q^{54} +(543.463 + 119.625i) q^{55} +(-214.317 + 252.314i) q^{56} +(-386.973 - 42.0859i) q^{57} +231.815 q^{58} +(36.3787 - 451.725i) q^{59} +176.921 q^{60} +(629.215 + 68.4312i) q^{61} +(202.937 - 238.916i) q^{62} +(-181.214 - 39.8883i) q^{63} +(-91.5923 - 69.6266i) q^{64} +(-492.611 + 466.626i) q^{65} +(-77.4683 + 194.431i) q^{66} +(800.730 + 269.797i) q^{67} +(-50.9461 - 310.758i) q^{68} +(-30.2891 - 28.6914i) q^{69} +(175.038 - 80.9814i) q^{70} +(-472.947 + 359.525i) q^{71} +(-23.3799 + 142.611i) q^{72} +(-57.3315 + 108.139i) q^{73} +(-87.5265 + 19.2660i) q^{74} +(137.182 + 63.4670i) q^{75} +(-327.884 - 822.926i) q^{76} +(-71.9054 - 1326.22i) q^{77} +(-143.217 - 211.229i) q^{78} +(-302.167 - 355.738i) q^{79} +(150.631 + 284.121i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(8.56986 - 158.062i) q^{82} +(-239.007 + 143.806i) q^{83} +(-112.969 - 406.876i) q^{84} +(-106.592 + 383.909i) q^{85} +(-130.625 - 78.5943i) q^{86} +(-360.379 + 531.519i) q^{87} +(-1028.36 + 111.841i) q^{88} +(-151.998 + 16.5308i) q^{89} +(47.2473 - 69.6846i) q^{90} +(1387.67 + 834.934i) q^{91} +(25.4006 - 91.4848i) q^{92} +(232.316 + 836.725i) q^{93} +(-91.6305 + 55.1323i) q^{94} +(-60.6790 + 1119.16i) q^{95} +(-479.819 + 161.670i) q^{96} +(-818.511 - 1543.88i) q^{97} +(-57.5296 - 67.7291i) q^{98} +(-325.371 - 479.886i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.07661 + 0.117088i 0.380638 + 0.0413969i 0.296438 0.955052i \(-0.404201\pi\)
0.0841998 + 0.996449i \(0.473167\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −6.66759 1.46765i −0.833449 0.183456i
\(5\) 6.87670 + 5.22753i 0.615071 + 0.467565i 0.865730 0.500511i \(-0.166854\pi\)
−0.250660 + 0.968075i \(0.580648\pi\)
\(6\) −2.35866 + 2.23424i −0.160487 + 0.152021i
\(7\) 7.63111 19.1526i 0.412041 1.03415i −0.565752 0.824575i \(-0.691414\pi\)
0.977794 0.209570i \(-0.0672065\pi\)
\(8\) −15.2167 5.12709i −0.672488 0.226588i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 6.79142 + 6.43318i 0.214764 + 0.203435i
\(11\) 58.4670 27.0497i 1.60259 0.741436i 0.604127 0.796888i \(-0.293522\pi\)
0.998461 + 0.0554521i \(0.0176600\pi\)
\(12\) 16.3053 12.3949i 0.392244 0.298176i
\(13\) −12.7082 + 77.5166i −0.271125 + 1.65379i 0.403021 + 0.915191i \(0.367960\pi\)
−0.674146 + 0.738598i \(0.735488\pi\)
\(14\) 10.4583 19.7264i 0.199649 0.376578i
\(15\) −25.3083 + 5.57078i −0.435639 + 0.0958913i
\(16\) 33.7876 + 15.6318i 0.527931 + 0.244247i
\(17\) 17.0727 + 42.8492i 0.243573 + 0.611321i 0.999037 0.0438682i \(-0.0139682\pi\)
−0.755465 + 0.655189i \(0.772589\pi\)
\(18\) −0.527670 9.73231i −0.00690962 0.127440i
\(19\) 72.8150 + 107.394i 0.879205 + 1.29673i 0.954084 + 0.299538i \(0.0968326\pi\)
−0.0748790 + 0.997193i \(0.523857\pi\)
\(20\) −38.1788 44.9476i −0.426852 0.502530i
\(21\) 28.9714 + 54.6459i 0.301051 + 0.567843i
\(22\) 66.1132 22.2761i 0.640699 0.215877i
\(23\) −0.752907 + 13.8865i −0.00682573 + 0.125893i 0.993135 + 0.116978i \(0.0373207\pi\)
−0.999960 + 0.00891540i \(0.997162\pi\)
\(24\) 41.2762 24.8351i 0.351061 0.211227i
\(25\) −13.4791 48.5474i −0.107833 0.388380i
\(26\) −22.7580 + 81.9670i −0.171662 + 0.618271i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) −78.9904 + 116.502i −0.533135 + 0.786316i
\(29\) 212.803 23.1437i 1.36264 0.148196i 0.602583 0.798056i \(-0.294138\pi\)
0.760053 + 0.649861i \(0.225173\pi\)
\(30\) −27.8994 + 3.03424i −0.169790 + 0.0184658i
\(31\) 162.441 239.582i 0.941136 1.38807i 0.0195879 0.999808i \(-0.493765\pi\)
0.921548 0.388264i \(-0.126925\pi\)
\(32\) 144.616 + 87.0123i 0.798896 + 0.480679i
\(33\) −51.7034 + 186.219i −0.272740 + 0.982320i
\(34\) 13.3634 + 48.1308i 0.0674062 + 0.242775i
\(35\) 152.598 91.8151i 0.736964 0.443417i
\(36\) −3.32656 + 61.3548i −0.0154007 + 0.284050i
\(37\) −78.4246 + 26.4243i −0.348457 + 0.117409i −0.488087 0.872795i \(-0.662305\pi\)
0.139630 + 0.990204i \(0.455409\pi\)
\(38\) 65.8186 + 124.147i 0.280978 + 0.529982i
\(39\) −152.559 179.607i −0.626386 0.737438i
\(40\) −77.8384 114.803i −0.307683 0.453799i
\(41\) −7.91340 145.954i −0.0301431 0.555956i −0.974132 0.225979i \(-0.927442\pi\)
0.943989 0.329977i \(-0.107041\pi\)
\(42\) 24.7925 + 62.2244i 0.0910847 + 0.228605i
\(43\) −127.758 59.1072i −0.453092 0.209623i 0.180052 0.983657i \(-0.442374\pi\)
−0.633143 + 0.774035i \(0.718236\pi\)
\(44\) −429.534 + 94.5475i −1.47170 + 0.323945i
\(45\) 36.4153 68.6865i 0.120633 0.227537i
\(46\) −2.43653 + 14.8622i −0.00780972 + 0.0476372i
\(47\) −78.6113 + 59.7588i −0.243971 + 0.185462i −0.720013 0.693961i \(-0.755864\pi\)
0.476042 + 0.879423i \(0.342071\pi\)
\(48\) −101.363 + 46.8954i −0.304801 + 0.141016i
\(49\) −59.5733 56.4308i −0.173683 0.164521i
\(50\) −8.82740 53.8448i −0.0249677 0.152296i
\(51\) −131.132 44.1835i −0.360042 0.121312i
\(52\) 198.500 498.198i 0.529366 1.32861i
\(53\) −389.201 + 368.670i −1.00869 + 0.955486i −0.999011 0.0444670i \(-0.985841\pi\)
−0.00968357 + 0.999953i \(0.503082\pi\)
\(54\) 23.2776 + 17.6952i 0.0586607 + 0.0445927i
\(55\) 543.463 + 119.625i 1.33237 + 0.293278i
\(56\) −214.317 + 252.314i −0.511417 + 0.602087i
\(57\) −386.973 42.0859i −0.899226 0.0977967i
\(58\) 231.815 0.524806
\(59\) 36.3787 451.725i 0.0802730 0.996773i
\(60\) 176.921 0.380674
\(61\) 629.215 + 68.4312i 1.32070 + 0.143635i 0.741171 0.671317i \(-0.234271\pi\)
0.579529 + 0.814952i \(0.303237\pi\)
\(62\) 202.937 238.916i 0.415694 0.489393i
\(63\) −181.214 39.8883i −0.362394 0.0797690i
\(64\) −91.5923 69.6266i −0.178891 0.135989i
\(65\) −492.611 + 466.626i −0.940014 + 0.890428i
\(66\) −77.4683 + 194.431i −0.144480 + 0.362618i
\(67\) 800.730 + 269.797i 1.46007 + 0.491955i 0.933625 0.358253i \(-0.116627\pi\)
0.526447 + 0.850208i \(0.323524\pi\)
\(68\) −50.9461 310.758i −0.0908548 0.554190i
\(69\) −30.2891 28.6914i −0.0528461 0.0500585i
\(70\) 175.038 80.9814i 0.298873 0.138273i
\(71\) −472.947 + 359.525i −0.790543 + 0.600955i −0.920580 0.390554i \(-0.872283\pi\)
0.130037 + 0.991509i \(0.458490\pi\)
\(72\) −23.3799 + 142.611i −0.0382687 + 0.233429i
\(73\) −57.3315 + 108.139i −0.0919197 + 0.173379i −0.925209 0.379459i \(-0.876110\pi\)
0.833289 + 0.552838i \(0.186455\pi\)
\(74\) −87.5265 + 19.2660i −0.137497 + 0.0302653i
\(75\) 137.182 + 63.4670i 0.211205 + 0.0977138i
\(76\) −327.884 822.926i −0.494880 1.24205i
\(77\) −71.9054 1326.22i −0.106421 1.96281i
\(78\) −143.217 211.229i −0.207899 0.306628i
\(79\) −302.167 355.738i −0.430334 0.506629i 0.503667 0.863898i \(-0.331984\pi\)
−0.934002 + 0.357269i \(0.883708\pi\)
\(80\) 150.631 + 284.121i 0.210514 + 0.397071i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) 8.56986 158.062i 0.0115413 0.212866i
\(83\) −239.007 + 143.806i −0.316078 + 0.190178i −0.664748 0.747068i \(-0.731461\pi\)
0.348670 + 0.937246i \(0.386633\pi\)
\(84\) −112.969 406.876i −0.146737 0.528498i
\(85\) −106.592 + 383.909i −0.136018 + 0.489892i
\(86\) −130.625 78.5943i −0.163786 0.0985469i
\(87\) −360.379 + 531.519i −0.444099 + 0.654998i
\(88\) −1028.36 + 111.841i −1.24572 + 0.135480i
\(89\) −151.998 + 16.5308i −0.181031 + 0.0196883i −0.198185 0.980165i \(-0.563505\pi\)
0.0171544 + 0.999853i \(0.494539\pi\)
\(90\) 47.2473 69.6846i 0.0553367 0.0816155i
\(91\) 1387.67 + 834.934i 1.59854 + 0.961811i
\(92\) 25.4006 91.4848i 0.0287848 0.103673i
\(93\) 232.316 + 836.725i 0.259032 + 0.932950i
\(94\) −91.6305 + 55.1323i −0.100542 + 0.0604942i
\(95\) −60.6790 + 1119.16i −0.0655320 + 1.20867i
\(96\) −479.819 + 161.670i −0.510118 + 0.171879i
\(97\) −818.511 1543.88i −0.856776 1.61605i −0.785723 0.618578i \(-0.787709\pi\)
−0.0710523 0.997473i \(-0.522636\pi\)
\(98\) −57.5296 67.7291i −0.0592997 0.0698130i
\(99\) −325.371 479.886i −0.330313 0.487175i
\(100\) 18.6228 + 343.477i 0.0186228 + 0.343477i
\(101\) 423.811 + 1063.68i 0.417532 + 1.04793i 0.975878 + 0.218318i \(0.0700570\pi\)
−0.558346 + 0.829608i \(0.688564\pi\)
\(102\) −136.004 62.9223i −0.132024 0.0610807i
\(103\) −678.236 + 149.291i −0.648821 + 0.142816i −0.527174 0.849757i \(-0.676749\pi\)
−0.121647 + 0.992573i \(0.538817\pi\)
\(104\) 590.811 1114.39i 0.557056 1.05072i
\(105\) −86.4353 + 527.232i −0.0803355 + 0.490025i
\(106\) −462.183 + 351.342i −0.423502 + 0.321938i
\(107\) −92.7714 + 42.9206i −0.0838182 + 0.0387784i −0.461350 0.887218i \(-0.652635\pi\)
0.377532 + 0.925997i \(0.376773\pi\)
\(108\) −133.826 126.767i −0.119235 0.112946i
\(109\) −50.2986 306.808i −0.0441994 0.269604i 0.955476 0.295068i \(-0.0953422\pi\)
−0.999676 + 0.0254632i \(0.991894\pi\)
\(110\) 571.090 + 192.423i 0.495012 + 0.166789i
\(111\) 91.8942 230.637i 0.0785785 0.197217i
\(112\) 557.227 527.834i 0.470116 0.445318i
\(113\) −1373.97 1044.46i −1.14382 0.869512i −0.150934 0.988544i \(-0.548228\pi\)
−0.992890 + 0.119031i \(0.962021\pi\)
\(114\) −411.690 90.6199i −0.338231 0.0744503i
\(115\) −77.7699 + 91.5577i −0.0630615 + 0.0742418i
\(116\) −1452.85 158.007i −1.16287 0.126470i
\(117\) 706.963 0.558622
\(118\) 92.0572 482.071i 0.0718183 0.376087i
\(119\) 950.959 0.732557
\(120\) 413.670 + 44.9893i 0.314689 + 0.0342245i
\(121\) 1825.03 2148.60i 1.37117 1.61427i
\(122\) 669.405 + 147.347i 0.496763 + 0.109346i
\(123\) 349.091 + 265.372i 0.255906 + 0.194535i
\(124\) −1434.71 + 1359.03i −1.03904 + 0.984230i
\(125\) 560.751 1407.38i 0.401241 1.00704i
\(126\) −190.426 64.1620i −0.134639 0.0453651i
\(127\) 155.894 + 950.910i 0.108924 + 0.664406i 0.983692 + 0.179864i \(0.0575657\pi\)
−0.874768 + 0.484543i \(0.838986\pi\)
\(128\) −1070.69 1014.21i −0.739349 0.700349i
\(129\) 383.275 177.322i 0.261593 0.121026i
\(130\) −584.985 + 444.694i −0.394666 + 0.300017i
\(131\) −221.394 + 1350.45i −0.147659 + 0.900680i 0.804248 + 0.594293i \(0.202568\pi\)
−0.951907 + 0.306386i \(0.900880\pi\)
\(132\) 618.041 1165.75i 0.407527 0.768677i
\(133\) 2612.54 575.063i 1.70328 0.374920i
\(134\) 830.482 + 384.222i 0.535393 + 0.247699i
\(135\) 86.3264 + 216.663i 0.0550355 + 0.138129i
\(136\) −40.0975 739.555i −0.0252819 0.466297i
\(137\) −733.190 1081.37i −0.457231 0.674365i 0.527279 0.849692i \(-0.323212\pi\)
−0.984510 + 0.175327i \(0.943902\pi\)
\(138\) −29.2501 34.4359i −0.0180430 0.0212418i
\(139\) 1214.08 + 2289.99i 0.740838 + 1.39737i 0.911190 + 0.411986i \(0.135165\pi\)
−0.170352 + 0.985383i \(0.554490\pi\)
\(140\) −1152.21 + 388.225i −0.695569 + 0.234365i
\(141\) 16.0381 295.805i 0.00957907 0.176676i
\(142\) −551.275 + 331.691i −0.325788 + 0.196020i
\(143\) 1353.79 + 4875.92i 0.791677 + 2.85136i
\(144\) 89.6369 322.843i 0.0518732 0.186830i
\(145\) 1584.36 + 953.280i 0.907408 + 0.545970i
\(146\) −74.3852 + 109.710i −0.0421655 + 0.0621895i
\(147\) 244.729 26.6159i 0.137312 0.0149336i
\(148\) 561.685 61.0869i 0.311961 0.0339278i
\(149\) −1734.72 + 2558.53i −0.953786 + 1.40673i −0.0406048 + 0.999175i \(0.512928\pi\)
−0.913181 + 0.407554i \(0.866382\pi\)
\(150\) 140.260 + 84.3914i 0.0763476 + 0.0459368i
\(151\) 222.012 799.615i 0.119650 0.430939i −0.879325 0.476223i \(-0.842006\pi\)
0.998974 + 0.0452842i \(0.0144193\pi\)
\(152\) −557.382 2007.51i −0.297432 1.07125i
\(153\) 355.704 214.020i 0.187954 0.113088i
\(154\) 77.8703 1436.23i 0.0407466 0.751526i
\(155\) 2369.48 798.371i 1.22788 0.413720i
\(156\) 753.604 + 1421.45i 0.386773 + 0.729532i
\(157\) 572.259 + 673.715i 0.290900 + 0.342473i 0.888127 0.459599i \(-0.152007\pi\)
−0.597227 + 0.802072i \(0.703731\pi\)
\(158\) −283.662 418.370i −0.142829 0.210657i
\(159\) −87.0703 1605.92i −0.0434285 0.800991i
\(160\) 539.618 + 1354.34i 0.266628 + 0.669187i
\(161\) 260.218 + 120.390i 0.127379 + 0.0589320i
\(162\) −85.6686 + 18.8571i −0.0415479 + 0.00914538i
\(163\) 479.698 904.807i 0.230508 0.434785i −0.741095 0.671400i \(-0.765693\pi\)
0.971603 + 0.236615i \(0.0760380\pi\)
\(164\) −161.446 + 984.776i −0.0768708 + 0.468891i
\(165\) −1329.01 + 1010.29i −0.627052 + 0.476673i
\(166\) −274.155 + 126.838i −0.128184 + 0.0593043i
\(167\) 15.4198 + 14.6064i 0.00714503 + 0.00676813i 0.691264 0.722603i \(-0.257054\pi\)
−0.684119 + 0.729371i \(0.739813\pi\)
\(168\) −160.674 980.067i −0.0737872 0.450082i
\(169\) −3765.34 1268.69i −1.71385 0.577465i
\(170\) −159.709 + 400.839i −0.0720535 + 0.180841i
\(171\) 847.792 803.072i 0.379136 0.359137i
\(172\) 765.091 + 581.607i 0.339172 + 0.257832i
\(173\) 2147.30 + 472.656i 0.943676 + 0.207719i 0.660054 0.751218i \(-0.270533\pi\)
0.283621 + 0.958936i \(0.408464\pi\)
\(174\) −450.221 + 530.041i −0.196156 + 0.230933i
\(175\) −1032.67 112.310i −0.446072 0.0485133i
\(176\) 2398.30 1.02715
\(177\) 962.210 + 960.501i 0.408611 + 0.407885i
\(178\) −165.578 −0.0697223
\(179\) −1359.14 147.815i −0.567525 0.0617220i −0.180141 0.983641i \(-0.557655\pi\)
−0.387383 + 0.921919i \(0.626621\pi\)
\(180\) −343.610 + 404.528i −0.142284 + 0.167510i
\(181\) −2722.06 599.171i −1.11784 0.246055i −0.382636 0.923899i \(-0.624983\pi\)
−0.735206 + 0.677844i \(0.762915\pi\)
\(182\) 1396.22 + 1061.38i 0.568650 + 0.432277i
\(183\) −1378.50 + 1305.79i −0.556840 + 0.527467i
\(184\) 82.6543 207.447i 0.0331161 0.0831151i
\(185\) −677.436 228.255i −0.269222 0.0907115i
\(186\) 152.142 + 928.026i 0.0599763 + 0.365840i
\(187\) 2157.25 + 2043.45i 0.843602 + 0.799102i
\(188\) 611.853 283.073i 0.237361 0.109815i
\(189\) 443.151 336.874i 0.170553 0.129651i
\(190\) −196.368 + 1197.79i −0.0749790 + 0.457352i
\(191\) 539.237 1017.11i 0.204282 0.385317i −0.760110 0.649795i \(-0.774855\pi\)
0.964392 + 0.264478i \(0.0851997\pi\)
\(192\) 337.087 74.1985i 0.126704 0.0278896i
\(193\) 2889.04 + 1336.61i 1.07750 + 0.498505i 0.876656 0.481118i \(-0.159769\pi\)
0.200845 + 0.979623i \(0.435631\pi\)
\(194\) −700.446 1757.99i −0.259222 0.650598i
\(195\) −110.205 2032.61i −0.0404715 0.746453i
\(196\) 314.390 + 463.690i 0.114573 + 0.168983i
\(197\) −2046.92 2409.83i −0.740291 0.871538i 0.255152 0.966901i \(-0.417875\pi\)
−0.995443 + 0.0953633i \(0.969599\pi\)
\(198\) −294.107 554.746i −0.105562 0.199111i
\(199\) −290.018 + 97.7184i −0.103311 + 0.0348094i −0.370482 0.928840i \(-0.620808\pi\)
0.267172 + 0.963649i \(0.413911\pi\)
\(200\) −43.7997 + 807.839i −0.0154855 + 0.285614i
\(201\) −2172.03 + 1306.87i −0.762206 + 0.458604i
\(202\) 331.733 + 1194.79i 0.115548 + 0.416165i
\(203\) 1180.66 4252.34i 0.408206 1.47023i
\(204\) 809.489 + 487.053i 0.277821 + 0.167160i
\(205\) 708.561 1045.05i 0.241405 0.356046i
\(206\) −747.674 + 81.3144i −0.252878 + 0.0275022i
\(207\) 124.429 13.5324i 0.0417797 0.00454382i
\(208\) −1641.10 + 2420.45i −0.547068 + 0.806865i
\(209\) 7162.25 + 4309.39i 2.37045 + 1.42625i
\(210\) −154.790 + 557.502i −0.0508643 + 0.183196i
\(211\) 759.854 + 2736.75i 0.247917 + 0.892917i 0.977834 + 0.209381i \(0.0671449\pi\)
−0.729917 + 0.683536i \(0.760441\pi\)
\(212\) 3136.11 1886.93i 1.01598 0.611298i
\(213\) 96.4894 1779.64i 0.0310392 0.572484i
\(214\) −104.904 + 35.3462i −0.0335097 + 0.0112907i
\(215\) −569.570 1074.32i −0.180671 0.340782i
\(216\) −280.671 330.431i −0.0884131 0.104088i
\(217\) −3349.03 4939.45i −1.04768 1.54521i
\(218\) −18.2283 336.201i −0.00566319 0.104451i
\(219\) −135.911 341.110i −0.0419360 0.105251i
\(220\) −3448.02 1595.23i −1.05666 0.488864i
\(221\) −3538.49 + 778.880i −1.07703 + 0.237073i
\(222\) 125.939 237.546i 0.0380741 0.0718154i
\(223\) 28.1627 171.785i 0.00845700 0.0515854i −0.982261 0.187519i \(-0.939955\pi\)
0.990718 + 0.135934i \(0.0434035\pi\)
\(224\) 2770.09 2105.77i 0.826270 0.628114i
\(225\) −411.545 + 190.401i −0.121939 + 0.0564151i
\(226\) −1356.93 1285.35i −0.399388 0.378320i
\(227\) −287.625 1754.43i −0.0840983 0.512977i −0.994961 0.100267i \(-0.968030\pi\)
0.910862 0.412710i \(-0.135418\pi\)
\(228\) 2518.41 + 848.552i 0.731517 + 0.246477i
\(229\) 944.302 2370.02i 0.272495 0.683910i −0.727503 0.686104i \(-0.759319\pi\)
0.999998 + 0.00219469i \(0.000698592\pi\)
\(230\) −94.4479 + 89.4658i −0.0270770 + 0.0256487i
\(231\) 3172.03 + 2411.31i 0.903481 + 0.686809i
\(232\) −3356.80 738.889i −0.949935 0.209097i
\(233\) −635.030 + 747.616i −0.178550 + 0.210206i −0.844156 0.536098i \(-0.819898\pi\)
0.665605 + 0.746304i \(0.268173\pi\)
\(234\) 761.121 + 82.7769i 0.212633 + 0.0231252i
\(235\) −852.977 −0.236775
\(236\) −905.532 + 2958.53i −0.249767 + 0.816033i
\(237\) 1400.25 0.383780
\(238\) 1023.81 + 111.346i 0.278839 + 0.0303256i
\(239\) −3281.17 + 3862.89i −0.888038 + 1.04548i 0.110629 + 0.993862i \(0.464714\pi\)
−0.998667 + 0.0516176i \(0.983562\pi\)
\(240\) −942.189 207.391i −0.253408 0.0557794i
\(241\) −536.710 407.996i −0.143454 0.109051i 0.530986 0.847381i \(-0.321822\pi\)
−0.674440 + 0.738330i \(0.735615\pi\)
\(242\) 2216.42 2099.50i 0.588747 0.557691i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −4094.91 1379.74i −1.07438 0.362002i
\(245\) −114.674 699.479i −0.0299030 0.182400i
\(246\) 344.762 + 326.576i 0.0893546 + 0.0846412i
\(247\) −9250.17 + 4279.59i −2.38289 + 1.10244i
\(248\) −3700.17 + 2812.79i −0.947422 + 0.720212i
\(249\) 135.380 825.781i 0.0344553 0.210168i
\(250\) 768.496 1449.54i 0.194416 0.366707i
\(251\) −2942.30 + 647.649i −0.739906 + 0.162866i −0.568903 0.822405i \(-0.692632\pi\)
−0.171003 + 0.985270i \(0.554701\pi\)
\(252\) 1149.72 + 531.917i 0.287403 + 0.132967i
\(253\) 331.607 + 832.271i 0.0824030 + 0.206816i
\(254\) 56.4961 + 1042.01i 0.0139562 + 0.257408i
\(255\) −670.785 989.333i −0.164730 0.242959i
\(256\) −438.097 515.767i −0.106957 0.125920i
\(257\) −3155.61 5952.12i −0.765921 1.44468i −0.891702 0.452622i \(-0.850489\pi\)
0.125782 0.992058i \(-0.459856\pi\)
\(258\) 433.399 146.029i 0.104582 0.0352379i
\(259\) −92.3711 + 1703.68i −0.0221609 + 0.408733i
\(260\) 3969.37 2388.29i 0.946808 0.569675i
\(261\) −515.398 1856.29i −0.122231 0.440237i
\(262\) −396.476 + 1427.98i −0.0934900 + 0.336720i
\(263\) −5139.87 3092.56i −1.20509 0.725077i −0.235991 0.971755i \(-0.575833\pi\)
−0.969098 + 0.246678i \(0.920661\pi\)
\(264\) 1741.51 2568.54i 0.405995 0.598799i
\(265\) −4603.65 + 500.677i −1.06717 + 0.116062i
\(266\) 2880.01 313.220i 0.663853 0.0721983i
\(267\) 257.407 379.647i 0.0590002 0.0870188i
\(268\) −4942.97 2974.09i −1.12664 0.677878i
\(269\) 2189.00 7884.06i 0.496155 1.78699i −0.112613 0.993639i \(-0.535922\pi\)
0.608767 0.793349i \(-0.291664\pi\)
\(270\) 67.5710 + 243.369i 0.0152305 + 0.0548554i
\(271\) 4625.83 2783.27i 1.03690 0.623881i 0.107975 0.994154i \(-0.465563\pi\)
0.928923 + 0.370273i \(0.120736\pi\)
\(272\) −92.9655 + 1714.65i −0.0207238 + 0.382227i
\(273\) −4604.14 + 1551.32i −1.02072 + 0.343919i
\(274\) −662.741 1250.06i −0.146123 0.275617i
\(275\) −2101.28 2473.82i −0.460771 0.542461i
\(276\) 159.847 + 235.756i 0.0348610 + 0.0514161i
\(277\) 344.413 + 6352.32i 0.0747068 + 1.37788i 0.760145 + 0.649754i \(0.225128\pi\)
−0.685438 + 0.728131i \(0.740389\pi\)
\(278\) 1038.95 + 2607.57i 0.224145 + 0.562560i
\(279\) −2364.35 1093.87i −0.507348 0.234724i
\(280\) −2792.77 + 614.736i −0.596072 + 0.131205i
\(281\) −707.102 + 1333.74i −0.150114 + 0.283146i −0.947153 0.320783i \(-0.896054\pi\)
0.797038 + 0.603929i \(0.206399\pi\)
\(282\) 51.9019 316.588i 0.0109600 0.0668529i
\(283\) −3178.51 + 2416.24i −0.667643 + 0.507529i −0.883221 0.468958i \(-0.844630\pi\)
0.215578 + 0.976487i \(0.430837\pi\)
\(284\) 3681.08 1703.05i 0.769126 0.355835i
\(285\) −2441.09 2312.33i −0.507361 0.480598i
\(286\) 886.591 + 5407.96i 0.183305 + 1.11811i
\(287\) −2855.79 962.229i −0.587360 0.197904i
\(288\) 562.229 1411.09i 0.115033 0.288712i
\(289\) 2022.24 1915.57i 0.411610 0.389897i
\(290\) 1594.12 + 1211.82i 0.322793 + 0.245381i
\(291\) 5119.73 + 1126.94i 1.03135 + 0.227018i
\(292\) 540.972 636.882i 0.108418 0.127639i
\(293\) −1480.42 161.005i −0.295178 0.0321025i −0.0406680 0.999173i \(-0.512949\pi\)
−0.254510 + 0.967070i \(0.581914\pi\)
\(294\) 266.593 0.0528845
\(295\) 2611.57 2916.21i 0.515429 0.575553i
\(296\) 1328.84 0.260937
\(297\) 1729.17 + 188.059i 0.337834 + 0.0367417i
\(298\) −2167.19 + 2551.41i −0.421282 + 0.495971i
\(299\) −1066.87 234.836i −0.206350 0.0454211i
\(300\) −821.524 624.506i −0.158102 0.120186i
\(301\) −2107.00 + 1995.85i −0.403473 + 0.382190i
\(302\) 332.645 834.876i 0.0633827 0.159079i
\(303\) −3255.21 1096.81i −0.617184 0.207954i
\(304\) 781.480 + 4766.82i 0.147437 + 0.899328i
\(305\) 3969.19 + 3759.82i 0.745165 + 0.705858i
\(306\) 408.013 188.767i 0.0762240 0.0352650i
\(307\) −4183.02 + 3179.85i −0.777647 + 0.591152i −0.916906 0.399104i \(-0.869321\pi\)
0.139258 + 0.990256i \(0.455528\pi\)
\(308\) −1466.98 + 8948.20i −0.271393 + 1.65543i
\(309\) 975.890 1840.72i 0.179665 0.338884i
\(310\) 2644.48 582.094i 0.484504 0.106647i
\(311\) 6612.53 + 3059.28i 1.20567 + 0.557800i 0.916714 0.399543i \(-0.130831\pi\)
0.288952 + 0.957344i \(0.406693\pi\)
\(312\) 1400.58 + 3515.20i 0.254143 + 0.637850i
\(313\) 347.502 + 6409.29i 0.0627538 + 1.15743i 0.845109 + 0.534594i \(0.179535\pi\)
−0.782355 + 0.622833i \(0.785982\pi\)
\(314\) 537.214 + 792.331i 0.0965501 + 0.142401i
\(315\) −1037.64 1221.60i −0.185601 0.218506i
\(316\) 1492.63 + 2815.39i 0.265718 + 0.501197i
\(317\) 4955.70 1669.77i 0.878043 0.295847i 0.156052 0.987749i \(-0.450123\pi\)
0.721992 + 0.691902i \(0.243227\pi\)
\(318\) 94.2933 1739.14i 0.0166280 0.306686i
\(319\) 11815.9 7109.39i 2.07387 1.24780i
\(320\) −265.877 957.603i −0.0464468 0.167286i
\(321\) 82.0394 295.479i 0.0142648 0.0513771i
\(322\) 266.057 + 160.081i 0.0460459 + 0.0277049i
\(323\) −3358.60 + 4953.57i −0.578569 + 0.853325i
\(324\) 549.762 59.7902i 0.0942665 0.0102521i
\(325\) 3934.53 427.906i 0.671534 0.0730337i
\(326\) 622.389 917.955i 0.105739 0.155953i
\(327\) 799.201 + 480.863i 0.135156 + 0.0813204i
\(328\) −627.904 + 2261.51i −0.105702 + 0.380704i
\(329\) 544.646 + 1961.64i 0.0912685 + 0.328719i
\(330\) −1549.12 + 932.074i −0.258413 + 0.155482i
\(331\) 448.629 8274.48i 0.0744982 1.37404i −0.687371 0.726307i \(-0.741235\pi\)
0.761869 0.647731i \(-0.224282\pi\)
\(332\) 1804.66 608.061i 0.298324 0.100517i
\(333\) 348.875 + 658.048i 0.0574121 + 0.108291i
\(334\) 14.8908 + 17.5308i 0.00243949 + 0.00287199i
\(335\) 4096.01 + 6041.16i 0.668026 + 0.985265i
\(336\) 124.661 + 2299.23i 0.0202405 + 0.373313i
\(337\) −3538.08 8879.92i −0.571904 1.43537i −0.875804 0.482667i \(-0.839668\pi\)
0.303900 0.952704i \(-0.401711\pi\)
\(338\) −3905.24 1806.76i −0.628453 0.290753i
\(339\) 5056.62 1113.05i 0.810141 0.178326i
\(340\) 1274.15 2403.31i 0.203237 0.383346i
\(341\) 3016.79 18401.6i 0.479087 2.92230i
\(342\) 1006.77 765.326i 0.159181 0.121006i
\(343\) 4882.60 2258.93i 0.768618 0.355600i
\(344\) 1641.01 + 1554.44i 0.257201 + 0.243634i
\(345\) −58.3041 355.639i −0.00909852 0.0554985i
\(346\) 2256.45 + 760.287i 0.350600 + 0.118131i
\(347\) −1719.82 + 4316.43i −0.266066 + 0.667776i −0.999934 0.0115167i \(-0.996334\pi\)
0.733867 + 0.679293i \(0.237713\pi\)
\(348\) 3182.94 3015.04i 0.490297 0.464434i
\(349\) 978.887 + 744.131i 0.150139 + 0.114133i 0.677547 0.735479i \(-0.263043\pi\)
−0.527408 + 0.849612i \(0.676836\pi\)
\(350\) −1098.63 241.827i −0.167784 0.0369320i
\(351\) −1373.03 + 1616.46i −0.208795 + 0.245813i
\(352\) 10808.9 + 1175.54i 1.63669 + 0.178001i
\(353\) −9846.19 −1.48459 −0.742295 0.670074i \(-0.766262\pi\)
−0.742295 + 0.670074i \(0.766262\pi\)
\(354\) 923.459 + 1146.75i 0.138648 + 0.172172i
\(355\) −5131.75 −0.767225
\(356\) 1037.72 + 112.859i 0.154492 + 0.0168020i
\(357\) −1846.91 + 2174.35i −0.273807 + 0.322350i
\(358\) −1445.95 318.278i −0.213466 0.0469875i
\(359\) −7093.38 5392.25i −1.04283 0.792736i −0.0641073 0.997943i \(-0.520420\pi\)
−0.978719 + 0.205207i \(0.934213\pi\)
\(360\) −906.280 + 858.474i −0.132681 + 0.125682i
\(361\) −3692.68 + 9267.94i −0.538371 + 1.35121i
\(362\) −2860.44 963.793i −0.415307 0.139933i
\(363\) 1368.23 + 8345.83i 0.197833 + 1.20673i
\(364\) −8027.03 7603.61i −1.15585 1.09488i
\(365\) −959.549 + 443.935i −0.137603 + 0.0636619i
\(366\) −1637.00 + 1244.41i −0.233790 + 0.177723i
\(367\) 1994.85 12168.0i 0.283734 1.73070i −0.332471 0.943114i \(-0.607882\pi\)
0.616205 0.787586i \(-0.288669\pi\)
\(368\) −242.511 + 457.424i −0.0343526 + 0.0647958i
\(369\) −1284.76 + 282.797i −0.181252 + 0.0398966i
\(370\) −702.607 325.061i −0.0987211 0.0456732i
\(371\) 4090.98 + 10267.6i 0.572488 + 1.43684i
\(372\) −320.968 5919.90i −0.0447349 0.825087i
\(373\) −3304.73 4874.11i −0.458746 0.676600i 0.526023 0.850471i \(-0.323683\pi\)
−0.984768 + 0.173871i \(0.944372\pi\)
\(374\) 2083.24 + 2452.59i 0.288027 + 0.339091i
\(375\) 2128.88 + 4015.50i 0.293160 + 0.552959i
\(376\) 1502.59 506.282i 0.206091 0.0694401i
\(377\) −910.320 + 16789.9i −0.124360 + 2.29369i
\(378\) 516.543 310.794i 0.0702860 0.0422897i
\(379\) 3324.18 + 11972.6i 0.450533 + 1.62267i 0.745038 + 0.667022i \(0.232431\pi\)
−0.294505 + 0.955650i \(0.595155\pi\)
\(380\) 2047.11 7373.04i 0.276355 0.995339i
\(381\) −2477.01 1490.37i −0.333074 0.200404i
\(382\) 699.638 1031.89i 0.0937084 0.138210i
\(383\) 5421.15 589.585i 0.723258 0.0786590i 0.260917 0.965361i \(-0.415975\pi\)
0.462341 + 0.886702i \(0.347010\pi\)
\(384\) 4398.44 478.359i 0.584523 0.0635707i
\(385\) 6438.37 9495.88i 0.852285 1.25703i
\(386\) 2953.86 + 1777.28i 0.389501 + 0.234355i
\(387\) −338.937 + 1220.74i −0.0445197 + 0.160345i
\(388\) 3191.63 + 11495.2i 0.417605 + 1.50408i
\(389\) 1063.88 640.118i 0.138666 0.0834326i −0.444530 0.895764i \(-0.646629\pi\)
0.583196 + 0.812331i \(0.301802\pi\)
\(390\) 119.347 2201.23i 0.0154958 0.285804i
\(391\) −607.882 + 204.819i −0.0786238 + 0.0264914i
\(392\) 617.181 + 1164.13i 0.0795212 + 0.149993i
\(393\) −2657.79 3129.00i −0.341140 0.401621i
\(394\) −1921.57 2834.11i −0.245704 0.362386i
\(395\) −218.277 4025.89i −0.0278044 0.512822i
\(396\) 1465.14 + 3677.21i 0.185924 + 0.466633i
\(397\) 2929.06 + 1355.13i 0.370290 + 0.171315i 0.596204 0.802833i \(-0.296675\pi\)
−0.225914 + 0.974147i \(0.572537\pi\)
\(398\) −323.677 + 71.2467i −0.0407650 + 0.00897305i
\(399\) −3759.09 + 7090.40i −0.471654 + 0.889634i
\(400\) 303.457 1851.00i 0.0379321 0.231376i
\(401\) −4084.22 + 3104.74i −0.508619 + 0.386642i −0.827775 0.561060i \(-0.810394\pi\)
0.319156 + 0.947702i \(0.396601\pi\)
\(402\) −2491.45 + 1152.67i −0.309110 + 0.143009i
\(403\) 16507.3 + 15636.5i 2.04041 + 1.93278i
\(404\) −1264.68 7714.22i −0.155743 0.949992i
\(405\) −663.057 223.410i −0.0813520 0.0274107i
\(406\) 1769.00 4439.86i 0.216242 0.542726i
\(407\) −3870.48 + 3666.31i −0.471382 + 0.446517i
\(408\) 1768.86 + 1344.65i 0.214636 + 0.163162i
\(409\) 384.159 + 84.5598i 0.0464436 + 0.0102230i 0.238131 0.971233i \(-0.423465\pi\)
−0.191688 + 0.981456i \(0.561396\pi\)
\(410\) 885.205 1042.14i 0.106627 0.125531i
\(411\) 3896.52 + 423.772i 0.467642 + 0.0508592i
\(412\) 4741.31 0.566960
\(413\) −8374.12 4143.91i −0.997732 0.493725i
\(414\) 135.545 0.0160910
\(415\) −2395.33 260.508i −0.283331 0.0308141i
\(416\) −8582.70 + 10104.3i −1.01154 + 1.19088i
\(417\) −7593.95 1671.56i −0.891793 0.196298i
\(418\) 7206.36 + 5478.13i 0.843240 + 0.641015i
\(419\) 6606.84 6258.33i 0.770323 0.729689i −0.197779 0.980247i \(-0.563373\pi\)
0.968102 + 0.250558i \(0.0806141\pi\)
\(420\) 1350.11 3388.51i 0.156853 0.393673i
\(421\) −12029.5 4053.22i −1.39260 0.469220i −0.479707 0.877429i \(-0.659257\pi\)
−0.912889 + 0.408209i \(0.866154\pi\)
\(422\) 497.624 + 3035.37i 0.0574027 + 0.350141i
\(423\) 645.205 + 611.170i 0.0741630 + 0.0702509i
\(424\) 7812.54 3614.47i 0.894836 0.413995i
\(425\) 1850.09 1406.41i 0.211159 0.160519i
\(426\) 312.256 1904.68i 0.0355138 0.216624i
\(427\) 6112.24 11528.9i 0.692722 1.30661i
\(428\) 681.554 150.021i 0.0769723 0.0169429i
\(429\) −13778.0 6374.38i −1.55060 0.717385i
\(430\) −487.413 1223.31i −0.0546631 0.137194i
\(431\) 199.787 + 3684.86i 0.0223281 + 0.411818i 0.988236 + 0.152934i \(0.0488721\pi\)
−0.965908 + 0.258884i \(0.916645\pi\)
\(432\) 564.087 + 831.966i 0.0628232 + 0.0926574i
\(433\) 8263.19 + 9728.18i 0.917099 + 1.07969i 0.996562 + 0.0828544i \(0.0264036\pi\)
−0.0794628 + 0.996838i \(0.525320\pi\)
\(434\) −3027.24 5709.98i −0.334820 0.631538i
\(435\) −5256.75 + 1771.20i −0.579406 + 0.195225i
\(436\) −114.916 + 2119.49i −0.0126226 + 0.232810i
\(437\) −1546.16 + 930.291i −0.169251 + 0.101835i
\(438\) −106.382 383.155i −0.0116054 0.0417987i
\(439\) −506.865 + 1825.56i −0.0551056 + 0.198472i −0.985979 0.166870i \(-0.946634\pi\)
0.930873 + 0.365342i \(0.119048\pi\)
\(440\) −7656.37 4606.68i −0.829552 0.499125i
\(441\) −414.446 + 611.262i −0.0447517 + 0.0660039i
\(442\) −3900.76 + 424.233i −0.419774 + 0.0456532i
\(443\) 12698.3 1381.02i 1.36188 0.148114i 0.602169 0.798369i \(-0.294303\pi\)
0.759716 + 0.650255i \(0.225338\pi\)
\(444\) −951.207 + 1402.92i −0.101672 + 0.149955i
\(445\) −1131.66 680.897i −0.120552 0.0725340i
\(446\) 50.4341 181.647i 0.00535453 0.0192853i
\(447\) −2480.93 8935.49i −0.262514 0.945490i
\(448\) −2032.48 + 1222.90i −0.214343 + 0.128966i
\(449\) 114.244 2107.10i 0.0120078 0.221471i −0.986370 0.164540i \(-0.947386\pi\)
0.998378 0.0569304i \(-0.0181313\pi\)
\(450\) −465.366 + 156.800i −0.0487501 + 0.0164258i
\(451\) −4410.69 8319.44i −0.460513 0.868619i
\(452\) 7628.16 + 8980.56i 0.793802 + 0.934535i
\(453\) 1397.13 + 2060.61i 0.144907 + 0.213721i
\(454\) −104.236 1922.51i −0.0107754 0.198740i
\(455\) 5177.95 + 12995.7i 0.533508 + 1.33900i
\(456\) 5672.66 + 2624.45i 0.582559 + 0.269520i
\(457\) −309.362 + 68.0956i −0.0316659 + 0.00697019i −0.230775 0.973007i \(-0.574126\pi\)
0.199109 + 0.979977i \(0.436195\pi\)
\(458\) 1294.14 2441.01i 0.132034 0.249042i
\(459\) −201.480 + 1228.97i −0.0204886 + 0.124975i
\(460\) 652.912 496.331i 0.0661787 0.0503077i
\(461\) −943.627 + 436.568i −0.0953343 + 0.0441063i −0.466977 0.884270i \(-0.654657\pi\)
0.371642 + 0.928376i \(0.378795\pi\)
\(462\) 3132.69 + 2967.44i 0.315468 + 0.298827i
\(463\) −348.411 2125.22i −0.0349720 0.213320i 0.963559 0.267494i \(-0.0861956\pi\)
−0.998531 + 0.0541743i \(0.982747\pi\)
\(464\) 7551.86 + 2544.52i 0.755574 + 0.254583i
\(465\) −2776.44 + 6968.34i −0.276891 + 0.694945i
\(466\) −771.215 + 730.534i −0.0766649 + 0.0726209i
\(467\) −8553.48 6502.19i −0.847554 0.644294i 0.0885286 0.996074i \(-0.471784\pi\)
−0.936083 + 0.351780i \(0.885577\pi\)
\(468\) −4713.74 1037.57i −0.465583 0.102482i
\(469\) 11277.8 13277.2i 1.11036 1.30722i
\(470\) −918.321 99.8735i −0.0901255 0.00980174i
\(471\) −2651.86 −0.259429
\(472\) −2869.60 + 6687.23i −0.279839 + 0.652129i
\(473\) −9068.48 −0.881541
\(474\) 1507.52 + 163.952i 0.146081 + 0.0158873i
\(475\) 4232.22 4982.56i 0.408816 0.481296i
\(476\) −6340.60 1395.67i −0.610549 0.134392i
\(477\) 3841.01 + 2919.86i 0.368696 + 0.280275i
\(478\) −3984.83 + 3774.63i −0.381301 + 0.361187i
\(479\) 1890.90 4745.80i 0.180370 0.452695i −0.810795 0.585331i \(-0.800965\pi\)
0.991165 + 0.132636i \(0.0423440\pi\)
\(480\) −4144.70 1396.51i −0.394123 0.132795i
\(481\) −1051.69 6415.02i −0.0996941 0.608107i
\(482\) −530.054 502.094i −0.0500899 0.0474476i
\(483\) −780.655 + 361.170i −0.0735425 + 0.0340244i
\(484\) −15322.0 + 11647.4i −1.43895 + 1.09386i
\(485\) 2442.00 14895.6i 0.228630 1.39458i
\(486\) 123.266 232.503i 0.0115050 0.0217008i
\(487\) 1706.13 375.548i 0.158752 0.0349439i −0.134883 0.990861i \(-0.543066\pi\)
0.293635 + 0.955918i \(0.405135\pi\)
\(488\) −9223.69 4267.33i −0.855609 0.395847i
\(489\) 1137.18 + 2854.10i 0.105164 + 0.263941i
\(490\) −41.5579 766.491i −0.00383142 0.0706664i
\(491\) −8212.37 12112.3i −0.754825 1.11328i −0.989964 0.141322i \(-0.954865\pi\)
0.235139 0.971962i \(-0.424446\pi\)
\(492\) −1938.12 2281.74i −0.177596 0.209082i
\(493\) 4624.80 + 8723.30i 0.422496 + 0.796912i
\(494\) −10459.9 + 3524.35i −0.952658 + 0.320988i
\(495\) 271.142 5000.92i 0.0246200 0.454090i
\(496\) 9233.59 5555.66i 0.835888 0.502937i
\(497\) 3276.74 + 11801.8i 0.295739 + 1.06515i
\(498\) 242.440 873.191i 0.0218153 0.0785715i
\(499\) −538.396 323.942i −0.0483004 0.0290614i 0.491199 0.871047i \(-0.336559\pi\)
−0.539499 + 0.841986i \(0.681386\pi\)
\(500\) −5804.39 + 8560.84i −0.519161 + 0.765705i
\(501\) −63.3451 + 6.88919i −0.00564880 + 0.000614344i
\(502\) −3243.53 + 352.756i −0.288378 + 0.0313631i
\(503\) 2821.06 4160.75i 0.250069 0.368825i −0.681849 0.731493i \(-0.738824\pi\)
0.931918 + 0.362668i \(0.118134\pi\)
\(504\) 2552.96 + 1536.07i 0.225631 + 0.135758i
\(505\) −2646.03 + 9530.12i −0.233162 + 0.839772i
\(506\) 259.561 + 934.856i 0.0228042 + 0.0821332i
\(507\) 10213.7 6145.39i 0.894689 0.538317i
\(508\) 356.165 6569.08i 0.0311068 0.573731i
\(509\) −18520.9 + 6240.42i −1.61282 + 0.543422i −0.974119 0.226035i \(-0.927424\pi\)
−0.638699 + 0.769457i \(0.720527\pi\)
\(510\) −606.332 1143.66i −0.0526448 0.0992986i
\(511\) 1633.64 + 1923.27i 0.141424 + 0.166498i
\(512\) 6209.80 + 9158.77i 0.536010 + 0.790556i
\(513\) 189.665 + 3498.16i 0.0163234 + 0.301067i
\(514\) −2700.43 6777.58i −0.231733 0.581607i
\(515\) −5444.45 2518.87i −0.465847 0.215524i
\(516\) −2815.76 + 619.797i −0.240227 + 0.0528780i
\(517\) −2979.71 + 5620.33i −0.253477 + 0.478108i
\(518\) −298.929 + 1823.38i −0.0253555 + 0.154662i
\(519\) −5251.11 + 3991.79i −0.444120 + 0.337611i
\(520\) 9888.33 4574.83i 0.833908 0.385807i
\(521\) −16548.6 15675.7i −1.39157 1.31816i −0.892104 0.451831i \(-0.850771\pi\)
−0.499466 0.866334i \(-0.666470\pi\)
\(522\) −337.531 2058.85i −0.0283014 0.172631i
\(523\) −4744.56 1598.63i −0.396683 0.133658i 0.113888 0.993494i \(-0.463669\pi\)
−0.510571 + 0.859836i \(0.670566\pi\)
\(524\) 3458.15 8679.30i 0.288301 0.723582i
\(525\) 2262.41 2143.07i 0.188075 0.178155i
\(526\) −5171.52 3931.29i −0.428687 0.325879i
\(527\) 13039.2 + 2870.15i 1.07779 + 0.237240i
\(528\) −4657.87 + 5483.67i −0.383916 + 0.451981i
\(529\) 11903.4 + 1294.57i 0.978335 + 0.106400i
\(530\) −5014.95 −0.411010
\(531\) −4064.94 + 334.633i −0.332210 + 0.0273481i
\(532\) −18263.3 −1.48838
\(533\) 11414.4 + 1241.39i 0.927606 + 0.100883i
\(534\) 321.578 378.591i 0.0260600 0.0306802i
\(535\) −862.330 189.813i −0.0696855 0.0153389i
\(536\) −10801.2 8210.83i −0.870409 0.661668i
\(537\) 2977.64 2820.57i 0.239283 0.226661i
\(538\) 3279.82 8231.73i 0.262831 0.659656i
\(539\) −5009.51 1687.90i −0.400324 0.134885i
\(540\) −257.604 1571.32i −0.0205288 0.125220i
\(541\) −8200.32 7767.76i −0.651681 0.617305i 0.288703 0.957419i \(-0.406776\pi\)
−0.940384 + 0.340114i \(0.889535\pi\)
\(542\) 5306.09 2454.86i 0.420510 0.194548i
\(543\) 6656.67 5060.27i 0.526087 0.399921i
\(544\) −1259.43 + 7682.19i −0.0992605 + 0.605462i
\(545\) 1257.96 2372.76i 0.0988717 0.186492i
\(546\) −5138.49 + 1131.07i −0.402760 + 0.0886543i
\(547\) −3170.79 1466.97i −0.247849 0.114667i 0.292032 0.956409i \(-0.405669\pi\)
−0.539881 + 0.841741i \(0.681531\pi\)
\(548\) 3301.53 + 8286.22i 0.257362 + 0.645930i
\(549\) −308.393 5687.97i −0.0239743 0.442180i
\(550\) −1972.60 2909.36i −0.152931 0.225556i
\(551\) 17980.7 + 21168.5i 1.39021 + 1.63668i
\(552\) 313.796 + 591.882i 0.0241957 + 0.0456380i
\(553\) −9119.19 + 3072.61i −0.701243 + 0.236276i
\(554\) −372.984 + 6879.28i −0.0286039 + 0.527568i
\(555\) 1837.59 1105.64i 0.140543 0.0845619i
\(556\) −4734.06 17050.5i −0.361095 1.30055i
\(557\) −2782.43 + 10021.4i −0.211661 + 0.762336i 0.779121 + 0.626874i \(0.215666\pi\)
−0.990783 + 0.135462i \(0.956748\pi\)
\(558\) −2417.40 1454.50i −0.183399 0.110348i
\(559\) 6205.37 9152.24i 0.469516 0.692484i
\(560\) 6591.15 716.831i 0.497369 0.0540922i
\(561\) −8862.05 + 963.806i −0.666945 + 0.0725346i
\(562\) −917.435 + 1353.12i −0.0688606 + 0.101562i
\(563\) 10217.3 + 6147.54i 0.764844 + 0.460192i 0.843781 0.536688i \(-0.180325\pi\)
−0.0789364 + 0.996880i \(0.525152\pi\)
\(564\) −541.072 + 1948.77i −0.0403958 + 0.145493i
\(565\) −3988.40 14364.9i −0.296979 1.06962i
\(566\) −3704.92 + 2229.18i −0.275140 + 0.165547i
\(567\) −90.4104 + 1667.52i −0.00669644 + 0.123508i
\(568\) 9040.00 3045.93i 0.667799 0.225008i
\(569\) −4776.28 9009.03i −0.351902 0.663758i 0.642859 0.765984i \(-0.277748\pi\)
−0.994761 + 0.102227i \(0.967403\pi\)
\(570\) −2357.35 2775.29i −0.173226 0.203937i
\(571\) 7118.50 + 10499.0i 0.521716 + 0.769474i 0.993693 0.112137i \(-0.0357696\pi\)
−0.471977 + 0.881611i \(0.656459\pi\)
\(572\) −1870.40 34497.5i −0.136723 2.52170i
\(573\) 1278.32 + 3208.35i 0.0931984 + 0.233910i
\(574\) −2961.90 1370.32i −0.215379 0.0996448i
\(575\) 684.305 150.627i 0.0496304 0.0109245i
\(576\) −485.023 + 914.850i −0.0350856 + 0.0661784i
\(577\) 193.590 1180.84i 0.0139675 0.0851979i −0.978923 0.204230i \(-0.934531\pi\)
0.992890 + 0.119032i \(0.0379792\pi\)
\(578\) 2401.45 1825.53i 0.172815 0.131370i
\(579\) −8667.12 + 4009.83i −0.622095 + 0.287812i
\(580\) −9164.81 8681.37i −0.656117 0.621507i
\(581\) 930.373 + 5675.02i 0.0664344 + 0.405232i
\(582\) 5379.99 + 1812.73i 0.383175 + 0.129107i
\(583\) −12783.0 + 32082.8i −0.908090 + 2.27913i
\(584\) 1426.83 1351.57i 0.101100 0.0957674i
\(585\) 4861.57 + 3695.67i 0.343592 + 0.261192i
\(586\) −1574.98 346.679i −0.111027 0.0244389i
\(587\) −8888.51 + 10464.4i −0.624988 + 0.735793i −0.979984 0.199075i \(-0.936206\pi\)
0.354996 + 0.934868i \(0.384482\pi\)
\(588\) −1670.82 181.712i −0.117182 0.0127444i
\(589\) 37557.8 2.62741
\(590\) 3153.09 2833.83i 0.220018 0.197740i
\(591\) 9485.48 0.660204
\(592\) −3062.84 333.104i −0.212638 0.0231258i
\(593\) 2653.67 3124.14i 0.183766 0.216346i −0.662564 0.749006i \(-0.730532\pi\)
0.846329 + 0.532660i \(0.178807\pi\)
\(594\) 1839.62 + 404.931i 0.127072 + 0.0279706i
\(595\) 6539.46 + 4971.17i 0.450574 + 0.342518i
\(596\) 15321.4 14513.2i 1.05300 0.997459i
\(597\) 339.829 852.906i 0.0232969 0.0584709i
\(598\) −1121.10 377.744i −0.0766644 0.0258313i
\(599\) 730.751 + 4457.39i 0.0498459 + 0.304046i 0.999969 0.00782751i \(-0.00249160\pi\)
−0.950123 + 0.311874i \(0.899043\pi\)
\(600\) −1762.05 1669.10i −0.119892 0.113568i
\(601\) 7536.81 3486.90i 0.511536 0.236662i −0.147103 0.989121i \(-0.546995\pi\)
0.658638 + 0.752460i \(0.271133\pi\)
\(602\) −2502.10 + 1902.05i −0.169399 + 0.128773i
\(603\) 1230.30 7504.47i 0.0830871 0.506809i
\(604\) −2653.84 + 5005.67i −0.178780 + 0.337215i
\(605\) 23782.1 5234.83i 1.59815 0.351778i
\(606\) −3376.16 1561.98i −0.226315 0.104705i
\(607\) −625.832 1570.72i −0.0418480 0.105031i 0.906567 0.422062i \(-0.138693\pi\)
−0.948415 + 0.317031i \(0.897314\pi\)
\(608\) 1185.58 + 21866.6i 0.0790813 + 1.45857i
\(609\) 7429.90 + 10958.3i 0.494376 + 0.729149i
\(610\) 3833.03 + 4512.59i 0.254418 + 0.299524i
\(611\) −3633.29 6853.11i −0.240568 0.453760i
\(612\) −2685.80 + 904.950i −0.177397 + 0.0597719i
\(613\) −865.187 + 15957.4i −0.0570059 + 1.05141i 0.820439 + 0.571734i \(0.193729\pi\)
−0.877445 + 0.479677i \(0.840754\pi\)
\(614\) −4875.80 + 2933.67i −0.320474 + 0.192823i
\(615\) 1013.35 + 3649.77i 0.0664428 + 0.239305i
\(616\) −5705.47 + 20549.3i −0.373182 + 1.34408i
\(617\) 11567.7 + 6960.08i 0.754781 + 0.454137i 0.840247 0.542204i \(-0.182410\pi\)
−0.0854655 + 0.996341i \(0.527238\pi\)
\(618\) 1266.18 1867.47i 0.0824160 0.121555i
\(619\) −14143.3 + 1538.18i −0.918363 + 0.0998780i −0.555076 0.831799i \(-0.687311\pi\)
−0.363287 + 0.931677i \(0.618345\pi\)
\(620\) −16970.4 + 1845.65i −1.09927 + 0.119553i
\(621\) −210.719 + 310.787i −0.0136165 + 0.0200828i
\(622\) 6760.89 + 4067.89i 0.435831 + 0.262231i
\(623\) −843.305 + 3037.31i −0.0542316 + 0.195325i
\(624\) −2347.04 8453.26i −0.150572 0.542310i
\(625\) 5816.75 3499.82i 0.372272 0.223989i
\(626\) −376.329 + 6940.98i −0.0240274 + 0.443158i
\(627\) −23763.6 + 8006.88i −1.51360 + 0.509991i
\(628\) −2826.81 5331.93i −0.179621 0.338801i
\(629\) −2471.18 2909.30i −0.156649 0.184422i
\(630\) −974.094 1436.68i −0.0616013 0.0908551i
\(631\) 945.711 + 17442.6i 0.0596643 + 1.10044i 0.863094 + 0.505044i \(0.168524\pi\)
−0.803430 + 0.595400i \(0.796994\pi\)
\(632\) 2774.07 + 6962.38i 0.174599 + 0.438210i
\(633\) −7733.29 3577.80i −0.485578 0.224652i
\(634\) 5530.85 1217.43i 0.346464 0.0762625i
\(635\) −3898.88 + 7354.06i −0.243657 + 0.459586i
\(636\) −1776.37 + 10835.4i −0.110751 + 0.675552i
\(637\) 5131.40 3900.79i 0.319173 0.242629i
\(638\) 13553.5 6270.52i 0.841048 0.389110i
\(639\) 3881.73 + 3676.97i 0.240311 + 0.227635i
\(640\) −2061.00 12571.5i −0.127294 0.776457i
\(641\) −24688.2 8318.43i −1.52126 0.512571i −0.570179 0.821521i \(-0.693126\pi\)
−0.951078 + 0.308950i \(0.900023\pi\)
\(642\) 122.921 308.509i 0.00755657 0.0189656i
\(643\) 5256.80 4979.51i 0.322408 0.305401i −0.509328 0.860572i \(-0.670106\pi\)
0.831736 + 0.555172i \(0.187347\pi\)
\(644\) −1558.34 1184.62i −0.0953528 0.0724853i
\(645\) 3562.62 + 784.192i 0.217485 + 0.0478721i
\(646\) −4195.90 + 4939.80i −0.255550 + 0.300857i
\(647\) 2243.54 + 244.000i 0.136326 + 0.0148263i 0.176027 0.984385i \(-0.443675\pi\)
−0.0397018 + 0.999212i \(0.512641\pi\)
\(648\) 1300.63 0.0788483
\(649\) −10092.1 27395.1i −0.610399 1.65693i
\(650\) 4286.05 0.258635
\(651\) 17798.3 + 1935.68i 1.07154 + 0.116537i
\(652\) −4526.37 + 5328.86i −0.271881 + 0.320083i
\(653\) −9138.46 2011.53i −0.547650 0.120547i −0.0674774 0.997721i \(-0.521495\pi\)
−0.480173 + 0.877174i \(0.659426\pi\)
\(654\) 804.122 + 611.277i 0.0480790 + 0.0365487i
\(655\) −8581.96 + 8129.27i −0.511947 + 0.484942i
\(656\) 2014.15 5055.14i 0.119877 0.300869i
\(657\) 1043.90 + 351.732i 0.0619887 + 0.0208864i
\(658\) 356.686 + 2175.69i 0.0211323 + 0.128901i
\(659\) −2037.50 1930.03i −0.120440 0.114087i 0.625110 0.780537i \(-0.285054\pi\)
−0.745550 + 0.666450i \(0.767813\pi\)
\(660\) 10344.1 4785.68i 0.610064 0.282246i
\(661\) 4300.06 3268.82i 0.253030 0.192349i −0.470968 0.882150i \(-0.656095\pi\)
0.723998 + 0.689802i \(0.242302\pi\)
\(662\) 1451.84 8855.84i 0.0852378 0.519927i
\(663\) 5091.41 9603.42i 0.298241 0.562543i
\(664\) 4374.20 962.835i 0.255651 0.0562729i
\(665\) 20971.8 + 9702.59i 1.22293 + 0.565790i
\(666\) 298.552 + 749.309i 0.0173703 + 0.0435963i
\(667\) 161.165 + 2972.52i 0.00935584 + 0.172558i
\(668\) −81.3759 120.020i −0.00471336 0.00695169i
\(669\) 338.087 + 398.027i 0.0195384 + 0.0230024i
\(670\) 3702.44 + 6983.55i 0.213489 + 0.402684i
\(671\) 38639.3 13019.1i 2.22303 0.749027i
\(672\) −565.146 + 10423.5i −0.0324420 + 0.598357i
\(673\) 18896.6 11369.7i 1.08233 0.651217i 0.141448 0.989946i \(-0.454824\pi\)
0.940884 + 0.338728i \(0.109997\pi\)
\(674\) −2769.39 9974.45i −0.158269 0.570032i
\(675\) 363.937 1310.78i 0.0207525 0.0747437i
\(676\) 23243.7 + 13985.3i 1.32247 + 0.795704i
\(677\) −15977.8 + 23565.5i −0.907056 + 1.33781i 0.0339526 + 0.999423i \(0.489190\pi\)
−0.941008 + 0.338384i \(0.890120\pi\)
\(678\) 5574.32 606.243i 0.315753 0.0343402i
\(679\) −35815.5 + 3895.17i −2.02426 + 0.220151i
\(680\) 3590.31 5295.31i 0.202474 0.298626i
\(681\) 4570.10 + 2749.74i 0.257161 + 0.154729i
\(682\) 5402.52 19458.1i 0.303333 1.09251i
\(683\) −683.053 2460.14i −0.0382669 0.137825i 0.941949 0.335756i \(-0.108992\pi\)
−0.980216 + 0.197931i \(0.936578\pi\)
\(684\) −6831.36 + 4110.29i −0.381877 + 0.229767i
\(685\) 610.990 11269.1i 0.0340799 0.628567i
\(686\) 5521.14 1860.29i 0.307286 0.103537i
\(687\) 3585.03 + 6762.09i 0.199094 + 0.375531i
\(688\) −3392.69 3994.18i −0.188002 0.221333i
\(689\) −23632.0 34854.7i −1.30669 1.92722i
\(690\) −21.1295 389.711i −0.00116578 0.0215015i
\(691\) 1714.94 + 4304.18i 0.0944131 + 0.236959i 0.968597 0.248636i \(-0.0799823\pi\)
−0.874184 + 0.485595i \(0.838603\pi\)
\(692\) −13623.6 6302.95i −0.748398 0.346246i
\(693\) −11674.0 + 2569.65i −0.639912 + 0.140855i
\(694\) −2356.98 + 4445.73i −0.128919 + 0.243167i
\(695\) −3622.16 + 22094.2i −0.197692 + 1.20587i
\(696\) 8208.91 6240.25i 0.447066 0.339851i
\(697\) 6118.91 2830.91i 0.332526 0.153843i
\(698\) 966.748 + 915.753i 0.0524240 + 0.0496587i
\(699\) −476.083 2903.98i −0.0257612 0.157137i
\(700\) 6720.60 + 2264.44i 0.362879 + 0.122268i
\(701\) −11470.0 + 28787.5i −0.617996 + 1.55105i 0.202428 + 0.979297i \(0.435117\pi\)
−0.820424 + 0.571756i \(0.806262\pi\)
\(702\) −1667.49 + 1579.53i −0.0896513 + 0.0849223i
\(703\) −8548.30 6498.25i −0.458613 0.348629i
\(704\) −7238.51 1593.32i −0.387516 0.0852988i
\(705\) 1656.62 1950.32i 0.0884990 0.104189i
\(706\) −10600.5 1152.87i −0.565091 0.0614574i
\(707\) 23606.5 1.25575
\(708\) −5005.94 7816.42i −0.265727 0.414914i
\(709\) 20736.2 1.09840 0.549200 0.835691i \(-0.314933\pi\)
0.549200 + 0.835691i \(0.314933\pi\)
\(710\) −5524.87 600.866i −0.292035 0.0317607i
\(711\) −2719.50 + 3201.64i −0.143445 + 0.168876i
\(712\) 2397.66 + 527.764i 0.126202 + 0.0277792i
\(713\) 3204.67 + 2436.12i 0.168325 + 0.127957i
\(714\) −2242.99 + 2124.67i −0.117566 + 0.111364i
\(715\) −16179.4 + 40607.2i −0.846259 + 2.12395i
\(716\) 8845.25 + 2980.31i 0.461679 + 0.155558i
\(717\) −2459.89 15004.7i −0.128126 0.781535i
\(718\) −7005.42 6635.89i −0.364122 0.344915i
\(719\) 10808.8 5000.69i 0.560641 0.259380i −0.119038 0.992890i \(-0.537981\pi\)
0.679679 + 0.733510i \(0.262119\pi\)
\(720\) 2304.08 1751.51i 0.119261 0.0906598i
\(721\) −2316.37 + 14129.3i −0.119648 + 0.729821i
\(722\) −5060.74 + 9545.56i −0.260860 + 0.492035i
\(723\) 1975.25 434.786i 0.101605 0.0223650i
\(724\) 17270.2 + 7990.06i 0.886523 + 0.410149i
\(725\) −3991.96 10019.1i −0.204493 0.513240i
\(726\) 495.848 + 9145.38i 0.0253480 + 0.467516i
\(727\) 8481.49 + 12509.3i 0.432684 + 0.638161i 0.980054 0.198729i \(-0.0636815\pi\)
−0.547370 + 0.836890i \(0.684371\pi\)
\(728\) −16834.9 19819.6i −0.857066 1.00902i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −1085.04 + 365.592i −0.0550124 + 0.0185358i
\(731\) 351.523 6483.46i 0.0177860 0.328043i
\(732\) 11107.7 6683.29i 0.560865 0.337461i
\(733\) 4303.75 + 15500.7i 0.216866 + 0.781079i 0.989289 + 0.145971i \(0.0466307\pi\)
−0.772423 + 0.635108i \(0.780956\pi\)
\(734\) 3572.40 12866.6i 0.179645 0.647025i
\(735\) 1822.06 + 1096.30i 0.0914392 + 0.0550171i
\(736\) −1317.18 + 1942.70i −0.0659673 + 0.0972946i
\(737\) 54114.3 5885.28i 2.70465 0.294148i
\(738\) −1416.29 + 154.031i −0.0706430 + 0.00768289i
\(739\) 8797.60 12975.5i 0.437923 0.645888i −0.543125 0.839652i \(-0.682759\pi\)
0.981048 + 0.193764i \(0.0620695\pi\)
\(740\) 4181.87 + 2516.15i 0.207741 + 0.124994i
\(741\) 8180.09 29462.0i 0.405537 1.46061i
\(742\) 3202.16 + 11533.2i 0.158430 + 0.570614i
\(743\) −2365.91 + 1423.52i −0.116820 + 0.0702880i −0.572764 0.819720i \(-0.694129\pi\)
0.455945 + 0.890008i \(0.349301\pi\)
\(744\) 754.898 13923.3i 0.0371988 0.686091i
\(745\) −25303.9 + 8525.89i −1.24438 + 0.419281i
\(746\) −2987.19 5634.44i −0.146607 0.276530i
\(747\) 1625.21 + 1913.34i 0.0796028 + 0.0937156i
\(748\) −11384.6 16791.0i −0.556499 0.820775i
\(749\) 114.094 + 2104.35i 0.00556598 + 0.102659i
\(750\) 1821.80 + 4572.38i 0.0886972 + 0.222613i
\(751\) −8886.63 4111.39i −0.431794 0.199769i 0.191938 0.981407i \(-0.438523\pi\)
−0.623733 + 0.781638i \(0.714385\pi\)
\(752\) −3590.22 + 790.268i −0.174098 + 0.0383220i
\(753\) 4233.57 7985.37i 0.204887 0.386458i
\(754\) −2945.95 + 17969.5i −0.142288 + 0.867918i
\(755\) 5706.72 4338.14i 0.275085 0.209114i
\(756\) −3449.16 + 1595.75i −0.165932 + 0.0767684i
\(757\) −13978.8 13241.4i −0.671159 0.635756i 0.274243 0.961660i \(-0.411573\pi\)
−0.945403 + 0.325904i \(0.894331\pi\)
\(758\) 2176.99 + 13279.0i 0.104316 + 0.636301i
\(759\) −2547.01 858.187i −0.121806 0.0410411i
\(760\) 6661.36 16718.8i 0.317938 0.797965i
\(761\) 5420.01 5134.10i 0.258180 0.244561i −0.547651 0.836707i \(-0.684478\pi\)
0.805831 + 0.592146i \(0.201719\pi\)
\(762\) −2492.27 1894.57i −0.118485 0.0900696i
\(763\) −6260.02 1377.93i −0.297022 0.0653795i
\(764\) −5088.17 + 5990.26i −0.240947 + 0.283665i
\(765\) 3564.87 + 387.703i 0.168481 + 0.0183234i
\(766\) 5905.48 0.278556
\(767\) 34553.9 + 8560.57i 1.62669 + 0.403004i
\(768\) 2030.15 0.0953863
\(769\) −6192.45 673.470i −0.290384 0.0315812i −0.0382325 0.999269i \(-0.512173\pi\)
−0.252152 + 0.967688i \(0.581138\pi\)
\(770\) 8043.45 9469.48i 0.376449 0.443190i
\(771\) 19738.1 + 4344.69i 0.921986 + 0.202945i