Properties

Label 43.4.g.a.10.3
Level 43
Weight 4
Character 43.10
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 10.3
Character \(\chi\) \(=\) 43.10
Dual form 43.4.g.a.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.757202 - 3.31752i) q^{2} +(4.24926 + 3.94274i) q^{3} +(-3.22482 + 1.55299i) q^{4} +(10.1014 - 1.52254i) q^{5} +(9.86256 - 17.0825i) q^{6} +(4.90816 + 8.50119i) q^{7} +(-9.37914 - 11.7611i) q^{8} +(0.493326 + 6.58297i) q^{9} +O(q^{10})\) \(q+(-0.757202 - 3.31752i) q^{2} +(4.24926 + 3.94274i) q^{3} +(-3.22482 + 1.55299i) q^{4} +(10.1014 - 1.52254i) q^{5} +(9.86256 - 17.0825i) q^{6} +(4.90816 + 8.50119i) q^{7} +(-9.37914 - 11.7611i) q^{8} +(0.493326 + 6.58297i) q^{9} +(-12.6998 - 32.3586i) q^{10} +(-25.4872 - 12.2740i) q^{11} +(-19.8262 - 6.11556i) q^{12} +(-2.78501 + 7.09610i) q^{13} +(24.4864 - 22.7200i) q^{14} +(48.9263 + 33.3574i) q^{15} +(-49.7688 + 62.4081i) q^{16} +(50.9616 + 7.68122i) q^{17} +(21.4656 - 6.62126i) q^{18} +(-6.34835 + 84.7128i) q^{19} +(-30.2106 + 20.5973i) q^{20} +(-12.6619 + 55.4754i) q^{21} +(-21.4202 + 93.8481i) q^{22} +(-106.823 + 72.8306i) q^{23} +(6.51640 - 86.9554i) q^{24} +(-19.7271 + 6.08502i) q^{25} +(25.6503 + 3.86615i) q^{26} +(73.7238 - 92.4468i) q^{27} +(-29.0302 - 19.7925i) q^{28} +(79.6248 - 73.8810i) q^{29} +(73.6167 - 187.572i) q^{30} +(-297.841 - 91.8717i) q^{31} +(136.299 + 65.6382i) q^{32} +(-59.9086 - 152.645i) q^{33} +(-13.1056 - 174.882i) q^{34} +(62.5225 + 78.4008i) q^{35} +(-11.8142 - 20.4628i) q^{36} +(-14.2897 + 24.7505i) q^{37} +(285.843 - 43.0839i) q^{38} +(-39.8123 + 19.1726i) q^{39} +(-112.649 - 104.523i) q^{40} +(70.8275 + 310.316i) q^{41} +193.628 q^{42} +(-212.997 + 184.768i) q^{43} +101.253 q^{44} +(15.0061 + 65.7459i) q^{45} +(322.503 + 299.239i) q^{46} +(366.697 - 176.592i) q^{47} +(-457.540 + 68.9630i) q^{48} +(123.320 - 213.596i) q^{49} +(35.1246 + 60.8376i) q^{50} +(186.264 + 233.568i) q^{51} +(-2.03901 - 27.2088i) q^{52} +(-153.786 - 391.841i) q^{53} +(-362.518 - 174.579i) q^{54} +(-276.143 - 85.1788i) q^{55} +(53.9487 - 137.459i) q^{56} +(-360.976 + 334.937i) q^{57} +(-305.394 - 208.214i) q^{58} +(253.728 - 318.165i) q^{59} +(-209.582 - 31.5895i) q^{60} +(392.649 - 121.116i) q^{61} +(-79.2605 + 1057.66i) q^{62} +(-53.5418 + 36.5042i) q^{63} +(-27.5483 + 120.697i) q^{64} +(-17.3284 + 75.9206i) q^{65} +(-461.039 + 314.331i) q^{66} +(-24.3641 + 325.117i) q^{67} +(-176.271 + 54.3723i) q^{68} +(-741.070 - 111.698i) q^{69} +(212.754 - 266.785i) q^{70} +(642.626 + 438.135i) q^{71} +(72.7958 - 67.5446i) q^{72} +(214.542 - 546.645i) q^{73} +(92.9306 + 28.6653i) q^{74} +(-107.817 - 51.9222i) q^{75} +(-111.086 - 283.043i) q^{76} +(-20.7518 - 276.914i) q^{77} +(93.7514 + 117.561i) q^{78} +(269.277 + 466.401i) q^{79} +(-407.714 + 706.182i) q^{80} +(854.013 - 128.722i) q^{81} +(975.847 - 469.943i) q^{82} +(-926.183 - 859.372i) q^{83} +(-45.3205 - 198.562i) q^{84} +526.476 q^{85} +(774.253 + 566.715i) q^{86} +629.640 q^{87} +(94.6927 + 414.876i) q^{88} +(30.9654 + 28.7317i) q^{89} +(206.751 - 99.5658i) q^{90} +(-73.9946 + 11.1529i) q^{91} +(231.379 - 400.761i) q^{92} +(-903.378 - 1564.70i) q^{93} +(-863.510 - 1082.81i) q^{94} +(64.8513 + 865.380i) q^{95} +(320.377 + 816.306i) q^{96} +(-1190.68 - 573.399i) q^{97} +(-801.987 - 247.380i) q^{98} +(68.2258 - 173.837i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.757202 3.31752i −0.267711 1.17292i −0.912668 0.408701i \(-0.865982\pi\)
0.644957 0.764219i \(-0.276875\pi\)
\(3\) 4.24926 + 3.94274i 0.817771 + 0.758781i 0.973419 0.229032i \(-0.0735560\pi\)
−0.155648 + 0.987813i \(0.549747\pi\)
\(4\) −3.22482 + 1.55299i −0.403103 + 0.194124i
\(5\) 10.1014 1.52254i 0.903494 0.136180i 0.319167 0.947698i \(-0.396597\pi\)
0.584326 + 0.811519i \(0.301359\pi\)
\(6\) 9.86256 17.0825i 0.671062 1.16231i
\(7\) 4.90816 + 8.50119i 0.265016 + 0.459021i 0.967568 0.252611i \(-0.0812894\pi\)
−0.702552 + 0.711633i \(0.747956\pi\)
\(8\) −9.37914 11.7611i −0.414503 0.519771i
\(9\) 0.493326 + 6.58297i 0.0182713 + 0.243814i
\(10\) −12.6998 32.3586i −0.401603 1.02327i
\(11\) −25.4872 12.2740i −0.698607 0.336431i 0.0506447 0.998717i \(-0.483872\pi\)
−0.749252 + 0.662285i \(0.769587\pi\)
\(12\) −19.8262 6.11556i −0.476943 0.147118i
\(13\) −2.78501 + 7.09610i −0.0594172 + 0.151393i −0.957500 0.288435i \(-0.906865\pi\)
0.898082 + 0.439827i \(0.144960\pi\)
\(14\) 24.4864 22.7200i 0.467447 0.433728i
\(15\) 48.9263 + 33.3574i 0.842181 + 0.574190i
\(16\) −49.7688 + 62.4081i −0.777638 + 0.975127i
\(17\) 50.9616 + 7.68122i 0.727058 + 0.109586i 0.502134 0.864790i \(-0.332548\pi\)
0.224924 + 0.974376i \(0.427787\pi\)
\(18\) 21.4656 6.62126i 0.281083 0.0867025i
\(19\) −6.34835 + 84.7128i −0.0766532 + 1.02287i 0.817741 + 0.575586i \(0.195226\pi\)
−0.894394 + 0.447279i \(0.852393\pi\)
\(20\) −30.2106 + 20.5973i −0.337765 + 0.230284i
\(21\) −12.6619 + 55.4754i −0.131574 + 0.576463i
\(22\) −21.4202 + 93.8481i −0.207582 + 0.909476i
\(23\) −106.823 + 72.8306i −0.968439 + 0.660271i −0.940663 0.339343i \(-0.889795\pi\)
−0.0277767 + 0.999614i \(0.508843\pi\)
\(24\) 6.51640 86.9554i 0.0554231 0.739570i
\(25\) −19.7271 + 6.08502i −0.157817 + 0.0486802i
\(26\) 25.6503 + 3.86615i 0.193478 + 0.0291621i
\(27\) 73.7238 92.4468i 0.525487 0.658940i
\(28\) −29.0302 19.7925i −0.195936 0.133587i
\(29\) 79.6248 73.8810i 0.509860 0.473081i −0.382787 0.923837i \(-0.625036\pi\)
0.892648 + 0.450755i \(0.148845\pi\)
\(30\) 73.6167 187.572i 0.448017 1.14153i
\(31\) −297.841 91.8717i −1.72561 0.532279i −0.736113 0.676858i \(-0.763341\pi\)
−0.989493 + 0.144579i \(0.953817\pi\)
\(32\) 136.299 + 65.6382i 0.752954 + 0.362603i
\(33\) −59.9086 152.645i −0.316023 0.805213i
\(34\) −13.1056 174.882i −0.0661057 0.882119i
\(35\) 62.5225 + 78.4008i 0.301950 + 0.378633i
\(36\) −11.8142 20.4628i −0.0546953 0.0947351i
\(37\) −14.2897 + 24.7505i −0.0634923 + 0.109972i −0.896024 0.444005i \(-0.853557\pi\)
0.832532 + 0.553977i \(0.186891\pi\)
\(38\) 285.843 43.0839i 1.22026 0.183925i
\(39\) −39.8123 + 19.1726i −0.163463 + 0.0787198i
\(40\) −112.649 104.523i −0.445283 0.413162i
\(41\) 70.8275 + 310.316i 0.269790 + 1.18203i 0.910258 + 0.414042i \(0.135884\pi\)
−0.640467 + 0.767985i \(0.721259\pi\)
\(42\) 193.628 0.711369
\(43\) −212.997 + 184.768i −0.755390 + 0.655276i
\(44\) 101.253 0.346920
\(45\) 15.0061 + 65.7459i 0.0497105 + 0.217796i
\(46\) 322.503 + 299.239i 1.03371 + 0.959140i
\(47\) 366.697 176.592i 1.13805 0.548055i 0.232625 0.972567i \(-0.425269\pi\)
0.905422 + 0.424512i \(0.139554\pi\)
\(48\) −457.540 + 68.9630i −1.37584 + 0.207374i
\(49\) 123.320 213.596i 0.359533 0.622730i
\(50\) 35.1246 + 60.8376i 0.0993474 + 0.172075i
\(51\) 186.264 + 233.568i 0.511415 + 0.641294i
\(52\) −2.03901 27.2088i −0.00543770 0.0725611i
\(53\) −153.786 391.841i −0.398569 1.01554i −0.979475 0.201567i \(-0.935397\pi\)
0.580906 0.813971i \(-0.302699\pi\)
\(54\) −362.518 174.579i −0.913563 0.439949i
\(55\) −276.143 85.1788i −0.677002 0.208827i
\(56\) 53.9487 137.459i 0.128736 0.328013i
\(57\) −360.976 + 334.937i −0.838815 + 0.778307i
\(58\) −305.394 208.214i −0.691382 0.471376i
\(59\) 253.728 318.165i 0.559874 0.702060i −0.418660 0.908143i \(-0.637500\pi\)
0.978535 + 0.206083i \(0.0660717\pi\)
\(60\) −209.582 31.5895i −0.450950 0.0679697i
\(61\) 392.649 121.116i 0.824157 0.254219i 0.146139 0.989264i \(-0.453315\pi\)
0.678018 + 0.735045i \(0.262839\pi\)
\(62\) −79.2605 + 1057.66i −0.162356 + 2.16650i
\(63\) −53.5418 + 36.5042i −0.107073 + 0.0730015i
\(64\) −27.5483 + 120.697i −0.0538052 + 0.235736i
\(65\) −17.3284 + 75.9206i −0.0330665 + 0.144874i
\(66\) −461.039 + 314.331i −0.859848 + 0.586234i
\(67\) −24.3641 + 325.117i −0.0444261 + 0.592825i 0.929919 + 0.367765i \(0.119877\pi\)
−0.974345 + 0.225060i \(0.927742\pi\)
\(68\) −176.271 + 54.3723i −0.314353 + 0.0969649i
\(69\) −741.070 111.698i −1.29296 0.194883i
\(70\) 212.754 266.785i 0.363271 0.455527i
\(71\) 642.626 + 438.135i 1.07416 + 0.732353i 0.965153 0.261688i \(-0.0842791\pi\)
0.109011 + 0.994040i \(0.465231\pi\)
\(72\) 72.7958 67.5446i 0.119154 0.110559i
\(73\) 214.542 546.645i 0.343976 0.876437i −0.649285 0.760545i \(-0.724932\pi\)
0.993262 0.115893i \(-0.0369728\pi\)
\(74\) 92.9306 + 28.6653i 0.145986 + 0.0450307i
\(75\) −107.817 51.9222i −0.165996 0.0799394i
\(76\) −111.086 283.043i −0.167664 0.427200i
\(77\) −20.7518 276.914i −0.0307129 0.409835i
\(78\) 93.7514 + 117.561i 0.136093 + 0.170655i
\(79\) 269.277 + 466.401i 0.383494 + 0.664230i 0.991559 0.129657i \(-0.0413875\pi\)
−0.608065 + 0.793887i \(0.708054\pi\)
\(80\) −407.714 + 706.182i −0.569798 + 0.986919i
\(81\) 854.013 128.722i 1.17149 0.176573i
\(82\) 975.847 469.943i 1.31420 0.632884i
\(83\) −926.183 859.372i −1.22484 1.13649i −0.986231 0.165371i \(-0.947118\pi\)
−0.238609 0.971116i \(-0.576692\pi\)
\(84\) −45.3205 198.562i −0.0588675 0.257916i
\(85\) 526.476 0.671816
\(86\) 774.253 + 566.715i 0.970812 + 0.710587i
\(87\) 629.640 0.775914
\(88\) 94.6927 + 414.876i 0.114708 + 0.502567i
\(89\) 30.9654 + 28.7317i 0.0368800 + 0.0342197i 0.698398 0.715710i \(-0.253897\pi\)
−0.661517 + 0.749930i \(0.730087\pi\)
\(90\) 206.751 99.5658i 0.242149 0.116613i
\(91\) −73.9946 + 11.1529i −0.0852389 + 0.0128477i
\(92\) 231.379 400.761i 0.262206 0.454154i
\(93\) −903.378 1564.70i −1.00727 1.74464i
\(94\) −863.510 1082.81i −0.947492 1.18812i
\(95\) 64.8513 + 865.380i 0.0700379 + 0.934591i
\(96\) 320.377 + 816.306i 0.340607 + 0.867853i
\(97\) −1190.68 573.399i −1.24634 0.600205i −0.309810 0.950798i \(-0.600266\pi\)
−0.936528 + 0.350594i \(0.885980\pi\)
\(98\) −801.987 247.380i −0.826663 0.254992i
\(99\) 68.2258 173.837i 0.0692621 0.176477i
\(100\) 54.1666 50.2592i 0.0541666 0.0502592i
\(101\) −297.366 202.741i −0.292961 0.199737i 0.407916 0.913019i \(-0.366256\pi\)
−0.700877 + 0.713282i \(0.747208\pi\)
\(102\) 633.826 794.792i 0.615275 0.771531i
\(103\) 1801.65 + 271.555i 1.72351 + 0.259777i 0.934848 0.355049i \(-0.115536\pi\)
0.788663 + 0.614826i \(0.210774\pi\)
\(104\) 109.579 33.8006i 0.103318 0.0318694i
\(105\) −43.4392 + 579.655i −0.0403736 + 0.538748i
\(106\) −1183.49 + 806.892i −1.08444 + 0.739361i
\(107\) 115.032 503.986i 0.103930 0.455348i −0.896006 0.444042i \(-0.853544\pi\)
0.999936 0.0113057i \(-0.00359879\pi\)
\(108\) −94.1771 + 412.617i −0.0839092 + 0.367630i
\(109\) 577.315 393.607i 0.507309 0.345878i −0.282463 0.959278i \(-0.591151\pi\)
0.789772 + 0.613401i \(0.210199\pi\)
\(110\) −73.4863 + 980.607i −0.0636968 + 0.849975i
\(111\) −158.306 + 48.8308i −0.135367 + 0.0417551i
\(112\) −774.817 116.785i −0.653690 0.0985280i
\(113\) 587.877 737.175i 0.489406 0.613695i −0.474397 0.880311i \(-0.657334\pi\)
0.963803 + 0.266616i \(0.0859054\pi\)
\(114\) 1384.49 + 943.930i 1.13745 + 0.775502i
\(115\) −968.169 + 898.330i −0.785063 + 0.728432i
\(116\) −142.039 + 361.910i −0.113690 + 0.289677i
\(117\) −48.0873 14.8330i −0.0379972 0.0117206i
\(118\) −1247.64 600.832i −0.973345 0.468738i
\(119\) 184.828 + 470.935i 0.142380 + 0.362777i
\(120\) −66.5681 888.289i −0.0506401 0.675745i
\(121\) −330.919 414.959i −0.248624 0.311765i
\(122\) −699.120 1210.91i −0.518814 0.898613i
\(123\) −922.529 + 1597.87i −0.676273 + 1.17134i
\(124\) 1103.16 166.275i 0.798925 0.120419i
\(125\) −1340.48 + 645.543i −0.959172 + 0.461913i
\(126\) 161.645 + 149.985i 0.114290 + 0.106045i
\(127\) 270.385 + 1184.63i 0.188920 + 0.827711i 0.977187 + 0.212379i \(0.0681211\pi\)
−0.788268 + 0.615332i \(0.789022\pi\)
\(128\) 1631.52 1.12662
\(129\) −1633.57 54.6645i −1.11495 0.0373096i
\(130\) 264.989 0.178777
\(131\) 496.329 + 2174.56i 0.331026 + 1.45032i 0.817147 + 0.576430i \(0.195554\pi\)
−0.486120 + 0.873892i \(0.661588\pi\)
\(132\) 430.251 + 399.214i 0.283701 + 0.263236i
\(133\) −751.318 + 361.816i −0.489831 + 0.235890i
\(134\) 1097.03 165.350i 0.707230 0.106598i
\(135\) 603.958 1046.09i 0.385040 0.666909i
\(136\) −387.636 671.405i −0.244408 0.423328i
\(137\) −1780.13 2232.21i −1.11012 1.39205i −0.911167 0.412038i \(-0.864817\pi\)
−0.198954 0.980009i \(-0.563754\pi\)
\(138\) 190.578 + 2543.09i 0.117559 + 1.56871i
\(139\) 998.608 + 2544.41i 0.609358 + 1.55262i 0.818361 + 0.574705i \(0.194883\pi\)
−0.209003 + 0.977915i \(0.567022\pi\)
\(140\) −323.380 155.732i −0.195218 0.0940122i
\(141\) 2254.45 + 695.405i 1.34652 + 0.415345i
\(142\) 966.923 2463.68i 0.571425 1.45597i
\(143\) 158.080 146.676i 0.0924425 0.0857741i
\(144\) −435.383 296.839i −0.251958 0.171782i
\(145\) 691.833 867.531i 0.396231 0.496859i
\(146\) −1975.96 297.827i −1.12008 0.168824i
\(147\) 1366.17 421.409i 0.766531 0.236443i
\(148\) 7.64444 102.008i 0.00424573 0.0566554i
\(149\) −1155.50 + 787.807i −0.635317 + 0.433152i −0.837682 0.546158i \(-0.816090\pi\)
0.202365 + 0.979310i \(0.435137\pi\)
\(150\) −90.6131 + 397.002i −0.0493235 + 0.216101i
\(151\) −280.134 + 1227.35i −0.150973 + 0.661458i 0.841630 + 0.540055i \(0.181597\pi\)
−0.992603 + 0.121403i \(0.961261\pi\)
\(152\) 1055.85 719.870i 0.563429 0.384139i
\(153\) −25.4246 + 339.268i −0.0134344 + 0.179269i
\(154\) −902.954 + 278.525i −0.472481 + 0.145741i
\(155\) −3148.48 474.557i −1.63156 0.245918i
\(156\) 98.6128 123.656i 0.0506111 0.0634644i
\(157\) 739.336 + 504.071i 0.375831 + 0.256237i 0.736473 0.676467i \(-0.236490\pi\)
−0.360642 + 0.932704i \(0.617442\pi\)
\(158\) 1343.40 1246.49i 0.676423 0.627629i
\(159\) 891.449 2271.37i 0.444632 1.13290i
\(160\) 1476.74 + 455.515i 0.729668 + 0.225073i
\(161\) −1143.45 550.657i −0.559730 0.269552i
\(162\) −1073.70 2735.74i −0.520726 1.32679i
\(163\) −163.743 2185.00i −0.0786831 1.04995i −0.887171 0.461440i \(-0.847333\pi\)
0.808488 0.588513i \(-0.200286\pi\)
\(164\) −710.324 890.718i −0.338213 0.424106i
\(165\) −837.566 1450.71i −0.395178 0.684469i
\(166\) −2149.68 + 3723.35i −1.00510 + 1.74089i
\(167\) 422.439 63.6724i 0.195744 0.0295037i −0.0504382 0.998727i \(-0.516062\pi\)
0.246183 + 0.969223i \(0.420824\pi\)
\(168\) 771.208 371.394i 0.354166 0.170558i
\(169\) 1567.92 + 1454.81i 0.713663 + 0.662182i
\(170\) −398.649 1746.59i −0.179853 0.787986i
\(171\) −560.794 −0.250789
\(172\) 399.935 926.627i 0.177295 0.410783i
\(173\) 3203.58 1.40788 0.703941 0.710259i \(-0.251422\pi\)
0.703941 + 0.710259i \(0.251422\pi\)
\(174\) −476.765 2088.84i −0.207721 0.910085i
\(175\) −148.554 137.838i −0.0641693 0.0595404i
\(176\) 2034.46 979.746i 0.871327 0.419609i
\(177\) 2332.60 351.583i 0.990558 0.149303i
\(178\) 71.8708 124.484i 0.0302637 0.0524183i
\(179\) −1031.34 1786.34i −0.430649 0.745906i 0.566280 0.824213i \(-0.308382\pi\)
−0.996929 + 0.0783066i \(0.975049\pi\)
\(180\) −150.495 188.715i −0.0623179 0.0781442i
\(181\) 150.056 + 2002.36i 0.0616220 + 0.822289i 0.939313 + 0.343061i \(0.111464\pi\)
−0.877691 + 0.479227i \(0.840917\pi\)
\(182\) 93.0288 + 237.033i 0.0378887 + 0.0965389i
\(183\) 2146.00 + 1033.46i 0.866868 + 0.417462i
\(184\) 1858.47 + 573.263i 0.744611 + 0.229682i
\(185\) −106.662 + 271.771i −0.0423890 + 0.108005i
\(186\) −4506.87 + 4181.76i −1.77666 + 1.64850i
\(187\) −1204.59 821.274i −0.471060 0.321163i
\(188\) −908.286 + 1138.95i −0.352359 + 0.441845i
\(189\) 1147.76 + 172.996i 0.441730 + 0.0665801i
\(190\) 2821.81 870.413i 1.07745 0.332349i
\(191\) 33.3338 444.809i 0.0126280 0.168509i −0.987324 0.158717i \(-0.949264\pi\)
0.999952 0.00979170i \(-0.00311684\pi\)
\(192\) −592.936 + 404.257i −0.222872 + 0.151952i
\(193\) −592.879 + 2597.57i −0.221121 + 0.968794i 0.735515 + 0.677508i \(0.236940\pi\)
−0.956636 + 0.291286i \(0.905917\pi\)
\(194\) −1000.68 + 4384.27i −0.370333 + 1.62254i
\(195\) −372.968 + 254.285i −0.136968 + 0.0933833i
\(196\) −65.9712 + 880.325i −0.0240420 + 0.320818i
\(197\) 372.998 115.055i 0.134899 0.0416107i −0.226571 0.973995i \(-0.572751\pi\)
0.361469 + 0.932384i \(0.382275\pi\)
\(198\) −628.367 94.7110i −0.225536 0.0339940i
\(199\) −1185.17 + 1486.16i −0.422185 + 0.529403i −0.946751 0.321967i \(-0.895656\pi\)
0.524566 + 0.851370i \(0.324228\pi\)
\(200\) 256.590 + 174.940i 0.0907183 + 0.0618507i
\(201\) −1385.38 + 1285.44i −0.486155 + 0.451086i
\(202\) −447.430 + 1140.03i −0.155847 + 0.397092i
\(203\) 1018.89 + 314.285i 0.352275 + 0.108663i
\(204\) −963.397 463.948i −0.330644 0.159230i
\(205\) 1187.92 + 3026.77i 0.404722 + 1.03121i
\(206\) −463.323 6182.62i −0.156705 2.09109i
\(207\) −532.140 667.283i −0.178678 0.224055i
\(208\) −304.247 526.972i −0.101422 0.175668i
\(209\) 1201.56 2081.17i 0.397675 0.688793i
\(210\) 1955.91 294.806i 0.642717 0.0968740i
\(211\) −1801.33 + 867.473i −0.587718 + 0.283030i −0.704016 0.710184i \(-0.748612\pi\)
0.116298 + 0.993214i \(0.462897\pi\)
\(212\) 1104.46 + 1024.79i 0.357805 + 0.331994i
\(213\) 1003.23 + 4395.46i 0.322725 + 1.41395i
\(214\) −1759.09 −0.561910
\(215\) −1870.25 + 2190.70i −0.593254 + 0.694906i
\(216\) −1778.74 −0.560314
\(217\) −680.833 2982.92i −0.212986 0.933152i
\(218\) −1742.94 1617.21i −0.541499 0.502438i
\(219\) 3066.92 1476.95i 0.946318 0.455723i
\(220\) 1022.79 154.161i 0.313440 0.0472434i
\(221\) −196.435 + 340.236i −0.0597904 + 0.103560i
\(222\) 281.867 + 488.207i 0.0852146 + 0.147596i
\(223\) −3331.60 4177.69i −1.00045 1.25452i −0.966918 0.255086i \(-0.917896\pi\)
−0.0335304 0.999438i \(-0.510675\pi\)
\(224\) 110.976 + 1480.87i 0.0331021 + 0.441717i
\(225\) −49.7894 126.861i −0.0147524 0.0375886i
\(226\) −2890.73 1392.10i −0.850835 0.409740i
\(227\) −6080.47 1875.58i −1.77786 0.548398i −0.780785 0.624799i \(-0.785181\pi\)
−0.997077 + 0.0764014i \(0.975657\pi\)
\(228\) 643.930 1640.71i 0.187041 0.476572i
\(229\) 1608.50 1492.47i 0.464159 0.430677i −0.413106 0.910683i \(-0.635556\pi\)
0.877265 + 0.480006i \(0.159366\pi\)
\(230\) 3713.33 + 2531.70i 1.06456 + 0.725807i
\(231\) 1003.62 1258.50i 0.285859 0.358456i
\(232\) −1615.73 243.532i −0.457233 0.0689167i
\(233\) −4740.81 + 1462.35i −1.33296 + 0.411165i −0.877708 0.479195i \(-0.840929\pi\)
−0.455257 + 0.890360i \(0.650452\pi\)
\(234\) −12.7969 + 170.762i −0.00357503 + 0.0477054i
\(235\) 3435.27 2342.13i 0.953585 0.650143i
\(236\) −324.120 + 1420.06i −0.0894001 + 0.391687i
\(237\) −694.670 + 3043.55i −0.190395 + 0.834176i
\(238\) 1422.38 969.763i 0.387392 0.264119i
\(239\) 254.680 3398.47i 0.0689283 0.919785i −0.850360 0.526201i \(-0.823616\pi\)
0.919289 0.393584i \(-0.128765\pi\)
\(240\) −4516.78 + 1393.24i −1.21482 + 0.374722i
\(241\) 3176.19 + 478.733i 0.848946 + 0.127958i 0.559085 0.829111i \(-0.311153\pi\)
0.289862 + 0.957069i \(0.406391\pi\)
\(242\) −1126.06 + 1412.04i −0.299116 + 0.375079i
\(243\) 1498.61 + 1021.73i 0.395620 + 0.269729i
\(244\) −1078.13 + 1000.36i −0.282870 + 0.262465i
\(245\) 920.491 2345.37i 0.240033 0.611593i
\(246\) 5999.49 + 1850.60i 1.55493 + 0.479633i
\(247\) −583.450 280.975i −0.150300 0.0723806i
\(248\) 1712.98 + 4364.60i 0.438606 + 1.11755i
\(249\) −547.314 7303.40i −0.139296 1.85877i
\(250\) 3156.62 + 3958.27i 0.798568 + 1.00137i
\(251\) 10.5969 + 18.3544i 0.00266482 + 0.00461561i 0.867355 0.497690i \(-0.165818\pi\)
−0.864690 + 0.502306i \(0.832485\pi\)
\(252\) 115.972 200.869i 0.0289903 0.0502126i
\(253\) 3616.54 545.105i 0.898694 0.135456i
\(254\) 3725.31 1794.02i 0.920263 0.443175i
\(255\) 2237.14 + 2075.76i 0.549392 + 0.509761i
\(256\) −1015.00 4447.02i −0.247804 1.08570i
\(257\) −829.318 −0.201290 −0.100645 0.994922i \(-0.532091\pi\)
−0.100645 + 0.994922i \(0.532091\pi\)
\(258\) 1055.59 + 5460.80i 0.254723 + 1.31773i
\(259\) −280.545 −0.0673059
\(260\) −62.0231 271.741i −0.0147943 0.0648180i
\(261\) 525.638 + 487.720i 0.124660 + 0.115667i
\(262\) 6838.32 3293.16i 1.61249 0.776535i
\(263\) −895.379 + 134.957i −0.209929 + 0.0316418i −0.253165 0.967423i \(-0.581472\pi\)
0.0432354 + 0.999065i \(0.486233\pi\)
\(264\) −1233.37 + 2136.27i −0.287534 + 0.498023i
\(265\) −2150.04 3723.98i −0.498400 0.863255i
\(266\) 1769.23 + 2218.54i 0.407814 + 0.511382i
\(267\) 18.2985 + 244.177i 0.00419420 + 0.0559677i
\(268\) −426.334 1086.28i −0.0971734 0.247594i
\(269\) 988.900 + 476.229i 0.224142 + 0.107941i 0.542585 0.840001i \(-0.317446\pi\)
−0.318443 + 0.947942i \(0.603160\pi\)
\(270\) −3927.73 1211.54i −0.885310 0.273082i
\(271\) 212.298 540.926i 0.0475874 0.121251i −0.905104 0.425191i \(-0.860207\pi\)
0.952691 + 0.303940i \(0.0983023\pi\)
\(272\) −3015.67 + 2798.13i −0.672249 + 0.623756i
\(273\) −358.395 244.350i −0.0794545 0.0541712i
\(274\) −6057.48 + 7595.84i −1.33557 + 1.67475i
\(275\) 577.477 + 87.0407i 0.126630 + 0.0190864i
\(276\) 2563.29 790.669i 0.559028 0.172437i
\(277\) 289.894 3868.37i 0.0628811 0.839090i −0.873213 0.487339i \(-0.837967\pi\)
0.936094 0.351751i \(-0.114413\pi\)
\(278\) 7684.98 5239.53i 1.65797 1.13038i
\(279\) 457.857 2006.00i 0.0982479 0.430452i
\(280\) 335.669 1470.66i 0.0716431 0.313889i
\(281\) −4521.95 + 3083.02i −0.959990 + 0.654510i −0.938507 0.345259i \(-0.887791\pi\)
−0.0214825 + 0.999769i \(0.506839\pi\)
\(282\) 599.947 8005.73i 0.126689 1.69055i
\(283\) 2432.89 750.449i 0.511027 0.157631i −0.0285090 0.999594i \(-0.509076\pi\)
0.539536 + 0.841963i \(0.318600\pi\)
\(284\) −2752.77 414.914i −0.575166 0.0866923i
\(285\) −3136.40 + 3932.92i −0.651875 + 0.817425i
\(286\) −606.300 413.368i −0.125354 0.0854649i
\(287\) −2290.42 + 2125.20i −0.471077 + 0.437096i
\(288\) −364.855 + 929.635i −0.0746503 + 0.190206i
\(289\) −2156.65 665.239i −0.438968 0.135404i
\(290\) −3401.91 1638.27i −0.688851 0.331733i
\(291\) −2798.73 7131.05i −0.563795 1.43653i
\(292\) 157.075 + 2096.01i 0.0314798 + 0.420068i
\(293\) 2959.85 + 3711.53i 0.590157 + 0.740033i 0.983808 0.179227i \(-0.0573595\pi\)
−0.393651 + 0.919260i \(0.628788\pi\)
\(294\) −2432.50 4213.21i −0.482538 0.835781i
\(295\) 2078.58 3600.21i 0.410236 0.710550i
\(296\) 425.118 64.0762i 0.0834780 0.0125823i
\(297\) −3013.70 + 1451.32i −0.588797 + 0.283550i
\(298\) 3488.51 + 3236.86i 0.678134 + 0.629217i
\(299\) −219.310 960.860i −0.0424181 0.185846i
\(300\) 428.327 0.0824316
\(301\) −2616.17 903.857i −0.500976 0.173081i
\(302\) 4283.87 0.816255
\(303\) −464.233 2033.94i −0.0880181 0.385633i
\(304\) −4970.82 4612.24i −0.937816 0.870166i
\(305\) 3781.89 1821.26i 0.710001 0.341919i
\(306\) 1144.78 172.548i 0.213865 0.0322349i
\(307\) −960.419 + 1663.49i −0.178547 + 0.309253i −0.941383 0.337339i \(-0.890473\pi\)
0.762836 + 0.646592i \(0.223806\pi\)
\(308\) 496.967 + 860.771i 0.0919393 + 0.159244i
\(309\) 6585.00 + 8257.33i 1.21232 + 1.52020i
\(310\) 809.683 + 10804.5i 0.148345 + 1.97952i
\(311\) 1163.57 + 2964.73i 0.212155 + 0.540561i 0.996849 0.0793215i \(-0.0252754\pi\)
−0.784694 + 0.619883i \(0.787180\pi\)
\(312\) 598.896 + 288.413i 0.108672 + 0.0523339i
\(313\) −4025.44 1241.68i −0.726937 0.224231i −0.0908687 0.995863i \(-0.528964\pi\)
−0.636069 + 0.771632i \(0.719441\pi\)
\(314\) 1112.44 2834.44i 0.199931 0.509417i
\(315\) −485.266 + 450.261i −0.0867989 + 0.0805376i
\(316\) −1592.69 1085.88i −0.283530 0.193308i
\(317\) −5320.97 + 6672.28i −0.942761 + 1.18219i 0.0403519 + 0.999186i \(0.487152\pi\)
−0.983113 + 0.182999i \(0.941419\pi\)
\(318\) −8210.33 1237.51i −1.44784 0.218227i
\(319\) −2936.23 + 905.706i −0.515351 + 0.158965i
\(320\) −94.5099 + 1261.15i −0.0165102 + 0.220313i
\(321\) 2475.89 1688.03i 0.430500 0.293510i
\(322\) −960.991 + 4210.38i −0.166317 + 0.728681i
\(323\) −974.219 + 4268.33i −0.167824 + 0.735283i
\(324\) −2554.14 + 1741.38i −0.437952 + 0.298591i
\(325\) 11.7605 156.933i 0.00200724 0.0267848i
\(326\) −7124.79 + 2197.71i −1.21045 + 0.373373i
\(327\) 4005.05 + 603.664i 0.677308 + 0.102088i
\(328\) 2985.34 3743.50i 0.502554 0.630183i
\(329\) 3301.05 + 2250.62i 0.553169 + 0.377145i
\(330\) −4178.54 + 3877.12i −0.697034 + 0.646753i
\(331\) −1877.56 + 4783.94i −0.311783 + 0.794409i 0.685984 + 0.727616i \(0.259372\pi\)
−0.997767 + 0.0667926i \(0.978723\pi\)
\(332\) 4321.37 + 1332.97i 0.714356 + 0.220350i
\(333\) −169.982 81.8588i −0.0279728 0.0134710i
\(334\) −531.106 1353.24i −0.0870085 0.221694i
\(335\) 248.891 + 3321.22i 0.0405921 + 0.541664i
\(336\) −2831.95 3551.15i −0.459808 0.576581i
\(337\) −33.7934 58.5318i −0.00546244 0.00946122i 0.863281 0.504723i \(-0.168405\pi\)
−0.868744 + 0.495262i \(0.835072\pi\)
\(338\) 3639.14 6303.18i 0.585631 1.01434i
\(339\) 5404.53 814.602i 0.865882 0.130511i
\(340\) −1697.79 + 817.614i −0.270811 + 0.130416i
\(341\) 6463.49 + 5997.25i 1.02645 + 0.952402i
\(342\) 424.634 + 1860.44i 0.0671391 + 0.294156i
\(343\) 5788.10 0.911160
\(344\) 4170.80 + 772.109i 0.653705 + 0.121015i
\(345\) −7655.89 −1.19472
\(346\) −2425.76 10627.9i −0.376906 1.65133i
\(347\) 6502.51 + 6033.45i 1.00597 + 0.933407i 0.997782 0.0665590i \(-0.0212021\pi\)
0.00819146 + 0.999966i \(0.497393\pi\)
\(348\) −2030.48 + 977.826i −0.312773 + 0.150624i
\(349\) 10305.2 1553.26i 1.58059 0.238236i 0.700715 0.713441i \(-0.252864\pi\)
0.879875 + 0.475205i \(0.157626\pi\)
\(350\) −344.795 + 597.202i −0.0526573 + 0.0912051i
\(351\) 450.690 + 780.617i 0.0685357 + 0.118707i
\(352\) −2668.24 3345.87i −0.404028 0.506635i
\(353\) −490.334 6543.05i −0.0739316 0.986548i −0.903624 0.428327i \(-0.859103\pi\)
0.829692 0.558221i \(-0.188516\pi\)
\(354\) −2932.63 7472.22i −0.440304 1.12188i
\(355\) 7158.47 + 3447.34i 1.07023 + 0.515396i
\(356\) −144.478 44.5655i −0.0215093 0.00663474i
\(357\) −1071.39 + 2729.85i −0.158834 + 0.404704i
\(358\) −5145.28 + 4774.12i −0.759599 + 0.704804i
\(359\) −7980.36 5440.92i −1.17322 0.799890i −0.189908 0.981802i \(-0.560819\pi\)
−0.983315 + 0.181912i \(0.941772\pi\)
\(360\) 632.498 793.127i 0.0925988 0.116115i
\(361\) −353.565 53.2913i −0.0515476 0.00776954i
\(362\) 6529.24 2014.00i 0.947982 0.292414i
\(363\) 229.915 3068.00i 0.0332435 0.443604i
\(364\) 221.299 150.879i 0.0318660 0.0217259i
\(365\) 1334.88 5848.51i 0.191427 0.838698i
\(366\) 1803.56 7901.93i 0.257579 1.12853i
\(367\) 4995.60 3405.94i 0.710540 0.484438i −0.153316 0.988177i \(-0.548995\pi\)
0.863856 + 0.503739i \(0.168043\pi\)
\(368\) 771.227 10291.3i 0.109247 1.45780i
\(369\) −2007.86 + 619.342i −0.283265 + 0.0873758i
\(370\) 982.369 + 148.068i 0.138030 + 0.0208046i
\(371\) 2576.31 3230.59i 0.360526 0.452085i
\(372\) 5343.19 + 3642.93i 0.744709 + 0.507734i
\(373\) −5246.71 + 4868.23i −0.728322 + 0.675784i −0.954469 0.298309i \(-0.903577\pi\)
0.226147 + 0.974093i \(0.427387\pi\)
\(374\) −1812.48 + 4618.11i −0.250591 + 0.638494i
\(375\) −8241.27 2542.10i −1.13487 0.350062i
\(376\) −5516.21 2656.47i −0.756587 0.364353i
\(377\) 302.511 + 770.785i 0.0413265 + 0.105298i
\(378\) −295.164 3938.70i −0.0401630 0.535938i
\(379\) −3897.48 4887.28i −0.528232 0.662382i 0.444102 0.895976i \(-0.353523\pi\)
−0.972334 + 0.233594i \(0.924951\pi\)
\(380\) −1553.06 2689.98i −0.209659 0.363140i
\(381\) −3521.77 + 6099.88i −0.473558 + 0.820227i
\(382\) −1500.90 + 226.225i −0.201028 + 0.0303002i
\(383\) −6666.26 + 3210.30i −0.889373 + 0.428299i −0.822039 0.569431i \(-0.807164\pi\)
−0.0673339 + 0.997730i \(0.521449\pi\)
\(384\) 6932.75 + 6432.66i 0.921317 + 0.854857i
\(385\) −631.234 2765.62i −0.0835601 0.366101i
\(386\) 9066.42 1.19551
\(387\) −1321.40 1311.00i −0.173567 0.172202i
\(388\) 4730.20 0.618916
\(389\) −549.630 2408.09i −0.0716384 0.313868i 0.926395 0.376553i \(-0.122891\pi\)
−0.998033 + 0.0626849i \(0.980034\pi\)
\(390\) 1126.01 + 1044.78i 0.146199 + 0.135653i
\(391\) −6003.29 + 2891.03i −0.776469 + 0.373928i
\(392\) −3668.75 + 552.976i −0.472704 + 0.0712487i
\(393\) −6464.69 + 11197.2i −0.829772 + 1.43721i
\(394\) −664.131 1150.31i −0.0849199 0.147086i
\(395\) 3430.17 + 4301.30i 0.436939 + 0.547904i
\(396\) 49.9507 + 666.546i 0.00633868 + 0.0845838i
\(397\) −890.432 2268.78i −0.112568 0.286819i 0.863477 0.504389i \(-0.168282\pi\)
−0.976045 + 0.217570i \(0.930187\pi\)
\(398\) 5827.78 + 2806.51i 0.733971 + 0.353462i
\(399\) −4619.09 1424.80i −0.579559 0.178770i
\(400\) 602.042 1533.98i 0.0752553 0.191747i
\(401\) 9913.89 9198.74i 1.23460 1.14554i 0.250468 0.968125i \(-0.419416\pi\)
0.984135 0.177420i \(-0.0567749\pi\)
\(402\) 5313.50 + 3622.68i 0.659237 + 0.449460i
\(403\) 1481.42 1857.64i 0.183114 0.229617i
\(404\) 1273.81 + 191.996i 0.156867 + 0.0236439i
\(405\) 8430.72 2600.53i 1.03438 0.319065i
\(406\) 271.143 3618.16i 0.0331444 0.442281i
\(407\) 667.993 455.430i 0.0813542 0.0554664i
\(408\) 1000.01 4381.33i 0.121343 0.531637i
\(409\) −2315.22 + 10143.7i −0.279903 + 1.22634i 0.618013 + 0.786168i \(0.287938\pi\)
−0.897916 + 0.440167i \(0.854919\pi\)
\(410\) 9141.88 6232.83i 1.10118 0.750774i
\(411\) 1236.79 16503.8i 0.148434 1.98071i
\(412\) −6231.71 + 1922.23i −0.745181 + 0.229858i
\(413\) 3950.12 + 595.385i 0.470636 + 0.0709369i
\(414\) −1810.78 + 2270.65i −0.214964 + 0.269557i
\(415\) −10664.1 7270.69i −1.26140 0.860009i
\(416\) −845.370 + 784.389i −0.0996339 + 0.0924467i
\(417\) −5788.60 + 14749.1i −0.679782 + 1.73206i
\(418\) −7814.15 2410.35i −0.914360 0.282043i
\(419\) −921.839 443.934i −0.107482 0.0517604i 0.379370 0.925245i \(-0.376141\pi\)
−0.486852 + 0.873484i \(0.661855\pi\)
\(420\) −760.117 1936.75i −0.0883093 0.225008i
\(421\) 781.462 + 10427.9i 0.0904659 + 1.20718i 0.839017 + 0.544106i \(0.183131\pi\)
−0.748551 + 0.663078i \(0.769250\pi\)
\(422\) 4241.83 + 5319.08i 0.489310 + 0.613576i
\(423\) 1343.40 + 2326.84i 0.154417 + 0.267458i
\(424\) −3166.09 + 5483.82i −0.362639 + 0.628108i
\(425\) −1052.07 + 158.574i −0.120077 + 0.0180987i
\(426\) 13822.4 6656.50i 1.57205 0.757062i
\(427\) 2956.82 + 2743.53i 0.335107 + 0.310933i
\(428\) 411.731 + 1803.91i 0.0464994 + 0.203727i
\(429\) 1250.03 0.140681
\(430\) 8683.86 + 4545.77i 0.973890 + 0.509806i
\(431\) −7764.33 −0.867737 −0.433869 0.900976i \(-0.642852\pi\)
−0.433869 + 0.900976i \(0.642852\pi\)
\(432\) 2100.28 + 9201.93i 0.233912 + 1.02483i
\(433\) −2410.70 2236.81i −0.267554 0.248254i 0.534973 0.844869i \(-0.320322\pi\)
−0.802528 + 0.596615i \(0.796512\pi\)
\(434\) −9380.37 + 4517.35i −1.03749 + 0.499631i
\(435\) 6360.23 958.650i 0.701033 0.105664i
\(436\) −1250.47 + 2165.88i −0.137355 + 0.237905i
\(437\) −5491.53 9511.62i −0.601134 1.04120i
\(438\) −7222.10 9056.23i −0.787866 0.987953i
\(439\) 622.146 + 8301.96i 0.0676387 + 0.902576i 0.923063 + 0.384648i \(0.125677\pi\)
−0.855424 + 0.517928i \(0.826704\pi\)
\(440\) 1588.19 + 4046.64i 0.172077 + 0.438445i
\(441\) 1466.93 + 706.439i 0.158399 + 0.0762810i
\(442\) 1277.48 + 394.050i 0.137474 + 0.0424051i
\(443\) −576.599 + 1469.15i −0.0618399 + 0.157565i −0.958454 0.285248i \(-0.907924\pi\)
0.896614 + 0.442813i \(0.146019\pi\)
\(444\) 434.674 403.318i 0.0464611 0.0431096i
\(445\) 356.538 + 243.083i 0.0379809 + 0.0258949i
\(446\) −11336.9 + 14216.0i −1.20362 + 1.50930i
\(447\) −8016.14 1208.24i −0.848211 0.127847i
\(448\) −1161.28 + 358.207i −0.122467 + 0.0377761i
\(449\) 806.926 10767.7i 0.0848133 1.13176i −0.778689 0.627410i \(-0.784115\pi\)
0.863502 0.504345i \(-0.168266\pi\)
\(450\) −383.164 + 261.237i −0.0401390 + 0.0273663i
\(451\) 2003.61 8778.41i 0.209194 0.916539i
\(452\) −750.973 + 3290.23i −0.0781478 + 0.342388i
\(453\) −6029.48 + 4110.83i −0.625363 + 0.426365i
\(454\) −1618.12 + 21592.3i −0.167273 + 2.23210i
\(455\) −730.466 + 225.319i −0.0752632 + 0.0232156i
\(456\) 7324.86 + 1104.05i 0.752233 + 0.113381i
\(457\) 6855.75 8596.84i 0.701747 0.879963i −0.295405 0.955372i \(-0.595455\pi\)
0.997153 + 0.0754087i \(0.0240261\pi\)
\(458\) −6169.24 4206.12i −0.629410 0.429124i
\(459\) 4467.19 4144.94i 0.454271 0.421502i
\(460\) 1727.07 4400.51i 0.175055 0.446033i
\(461\) 15335.9 + 4730.49i 1.54938 + 0.477919i 0.947254 0.320484i \(-0.103846\pi\)
0.602123 + 0.798404i \(0.294322\pi\)
\(462\) −4935.04 2376.59i −0.496967 0.239327i
\(463\) 1804.68 + 4598.25i 0.181146 + 0.461553i 0.992387 0.123159i \(-0.0393027\pi\)
−0.811241 + 0.584712i \(0.801207\pi\)
\(464\) 647.943 + 8646.20i 0.0648276 + 0.865065i
\(465\) −11507.7 14430.1i −1.14764 1.43910i
\(466\) 8441.11 + 14620.4i 0.839114 + 1.45339i
\(467\) −9477.23 + 16415.0i −0.939088 + 1.62655i −0.171910 + 0.985113i \(0.554994\pi\)
−0.767178 + 0.641435i \(0.778339\pi\)
\(468\) 178.109 26.8456i 0.0175920 0.00265157i
\(469\) −2883.46 + 1388.60i −0.283893 + 0.136716i
\(470\) −10371.2 9623.11i −1.01785 0.944428i
\(471\) 1154.21 + 5056.94i 0.112916 + 0.494716i
\(472\) −6121.71 −0.596980
\(473\) 7696.54 2094.89i 0.748176 0.203643i
\(474\) 10623.0 1.02939
\(475\) −390.244 1709.77i −0.0376961 0.165157i
\(476\) −1327.40 1231.64i −0.127817 0.118597i
\(477\) 2503.61 1205.68i 0.240320 0.115732i
\(478\) −11467.3 + 1728.42i −1.09729 + 0.165389i
\(479\) 441.749 765.132i 0.0421379 0.0729849i −0.844187 0.536048i \(-0.819916\pi\)
0.886325 + 0.463063i \(0.153250\pi\)
\(480\) 4479.10 + 7758.02i 0.425921 + 0.737716i
\(481\) −135.835 170.332i −0.0128764 0.0161465i
\(482\) −816.808 10899.5i −0.0771880 1.03000i
\(483\) −2687.73 6848.21i −0.253200 0.645144i
\(484\) 1711.58 + 824.255i 0.160742 + 0.0774093i
\(485\) −12900.5 3979.27i −1.20779 0.372555i
\(486\) 2254.87 5745.31i 0.210459 0.536240i
\(487\) 12132.8 11257.6i 1.12894 1.04750i 0.130508 0.991447i \(-0.458339\pi\)
0.998428 0.0560520i \(-0.0178513\pi\)
\(488\) −5107.17 3482.01i −0.473751 0.322998i
\(489\) 7919.10 9930.23i 0.732339 0.918324i
\(490\) −8477.81 1277.82i −0.781609 0.117809i
\(491\) −8190.11 + 2526.32i −0.752779 + 0.232202i −0.647316 0.762222i \(-0.724109\pi\)
−0.105463 + 0.994423i \(0.533632\pi\)
\(492\) 493.516 6585.52i 0.0452224 0.603451i
\(493\) 4625.30 3153.48i 0.422542 0.288084i
\(494\) −490.349 + 2148.36i −0.0446596 + 0.195667i
\(495\) 424.501 1859.86i 0.0385453 0.168878i
\(496\) 20556.7 14015.3i 1.86094 1.26877i
\(497\) −570.555 + 7613.52i −0.0514947 + 0.687149i
\(498\) −23814.7 + 7345.87i −2.14290 + 0.660997i
\(499\) 1730.25 + 260.793i 0.155224 + 0.0233962i 0.226194 0.974082i \(-0.427372\pi\)
−0.0709707 + 0.997478i \(0.522610\pi\)
\(500\) 3320.30 4163.52i 0.296976 0.372397i
\(501\) 2046.10 + 1395.01i 0.182461 + 0.124400i
\(502\) 52.8670 49.0534i 0.00470034 0.00436127i
\(503\) 4480.31 11415.6i 0.397151 1.01192i −0.582787 0.812625i \(-0.698038\pi\)
0.979939 0.199300i \(-0.0638668\pi\)
\(504\) 931.504 + 287.331i 0.0823263 + 0.0253943i
\(505\) −3312.49 1595.21i −0.291889 0.140566i
\(506\) −4546.84 11585.2i −0.399470 1.01783i
\(507\) 926.537 + 12363.8i 0.0811616 + 1.08303i
\(508\) −2711.67 3400.33i −0.236833 0.296979i
\(509\) 3038.35 + 5262.57i 0.264582 + 0.458270i 0.967454 0.253046i \(-0.0814326\pi\)
−0.702872 + 0.711317i \(0.748099\pi\)
\(510\) 5192.40 8993.51i 0.450830 0.780861i
\(511\) 5700.14 859.158i 0.493462 0.0743775i
\(512\) −2224.92 + 1071.47i −0.192048 + 0.0924855i
\(513\) 7363.40 + 6832.24i 0.633727 + 0.588013i
\(514\) 627.961 + 2751.28i 0.0538875 + 0.236097i
\(515\) 18612.5 1.59256
\(516\) 5352.88 2360.64i 0.456681 0.201398i
\(517\) −11513.6 −0.979431
\(518\) 212.429 + 930.714i 0.0180186 + 0.0789445i
\(519\) 13612.8 + 12630.9i 1.15132 + 1.06827i
\(520\) 1055.43 508.269i 0.0890072 0.0428636i
\(521\) 494.014 74.4606i 0.0415416 0.00626138i −0.128239 0.991743i \(-0.540932\pi\)
0.169780 + 0.985482i \(0.445694\pi\)
\(522\) 1220.01 2113.11i 0.102296 0.177181i
\(523\) 5390.45 + 9336.54i 0.450685 + 0.780609i 0.998429 0.0560373i \(-0.0178466\pi\)
−0.547744 + 0.836646i \(0.684513\pi\)
\(524\) −4977.65 6241.77i −0.414980 0.520368i
\(525\) −87.7858 1171.42i −0.00729768 0.0973808i
\(526\) 1125.70 + 2868.25i 0.0933138 + 0.237760i
\(527\) −14472.7 6969.71i −1.19629 0.576101i
\(528\) 12507.9 + 3858.16i 1.03094 + 0.318002i
\(529\) 1661.72 4234.00i 0.136576 0.347991i
\(530\) −10726.4 + 9952.62i −0.879101 + 0.815687i
\(531\) 2219.64 + 1513.33i 0.181402 + 0.123677i
\(532\) 1860.97 2333.58i 0.151660 0.190176i
\(533\) −2399.29 361.634i −0.194980 0.0293886i
\(534\) 796.206 245.597i 0.0645228 0.0199027i
\(535\) 394.639 5266.09i 0.0318911 0.425557i
\(536\) 4052.23 2762.76i 0.326548 0.222637i
\(537\) 2660.62 11656.9i 0.213807 0.936749i
\(538\) 831.102 3641.30i 0.0666010 0.291798i
\(539\) −5764.75 + 3930.34i −0.460678 + 0.314085i
\(540\) −323.093 + 4311.38i −0.0257476 + 0.343578i
\(541\) 12431.0 3834.46i 0.987896 0.304725i 0.241626 0.970369i \(-0.422319\pi\)
0.746269 + 0.665644i \(0.231843\pi\)
\(542\) −1955.29 294.712i −0.154957 0.0233560i
\(543\) −7257.16 + 9100.19i −0.573544 + 0.719201i
\(544\) 6441.84 + 4391.97i 0.507705 + 0.346147i
\(545\) 5232.39 4854.95i 0.411249 0.381584i
\(546\) −539.257 + 1374.01i −0.0422676 + 0.107696i
\(547\) −5802.39 1789.80i −0.453551 0.139902i 0.0595591 0.998225i \(-0.481031\pi\)
−0.513110 + 0.858323i \(0.671507\pi\)
\(548\) 9207.20 + 4433.95i 0.717723 + 0.345637i
\(549\) 991.009 + 2525.05i 0.0770405 + 0.196296i
\(550\) −148.508 1981.70i −0.0115134 0.153636i
\(551\) 5753.18 + 7214.26i 0.444816 + 0.557782i
\(552\) 5636.91 + 9763.41i 0.434643 + 0.752823i
\(553\) −2643.31 + 4578.34i −0.203264 + 0.352063i
\(554\) −13052.9 + 1967.41i −1.00102 + 0.150879i
\(555\) −1524.76 + 734.284i −0.116617 + 0.0561597i
\(556\) −7171.78 6654.44i −0.547035 0.507574i
\(557\) −124.572 545.785i −0.00947626 0.0415182i 0.969969 0.243230i \(-0.0782068\pi\)
−0.979445 + 0.201711i \(0.935350\pi\)
\(558\) −7001.63 −0.531188
\(559\) −717.932 2026.03i −0.0543207 0.153295i
\(560\) −8004.52 −0.604023
\(561\) −1880.54 8239.18i −0.141527 0.620069i
\(562\) 13652.0 + 12667.2i 1.02469 + 0.950771i
\(563\) −3549.13 + 1709.17i −0.265680 + 0.127945i −0.561982 0.827150i \(-0.689961\pi\)
0.296302 + 0.955094i \(0.404247\pi\)
\(564\) −8350.15 + 1258.58i −0.623413 + 0.0939643i
\(565\) 4815.99 8341.53i 0.358602 0.621117i
\(566\) −4331.82 7502.93i −0.321696 0.557194i
\(567\) 5285.93 + 6628.34i 0.391513 + 0.490942i
\(568\) −874.343 11667.3i −0.0645891 0.861882i
\(569\) 2420.29 + 6166.79i 0.178319 + 0.454350i 0.991887 0.127119i \(-0.0405732\pi\)
−0.813568 + 0.581470i \(0.802478\pi\)
\(570\) 15422.4 + 7427.05i 1.13329 + 0.545763i
\(571\) −2711.65 836.434i −0.198738 0.0613024i 0.193788 0.981043i \(-0.437922\pi\)
−0.392526 + 0.919741i \(0.628399\pi\)
\(572\) −281.991 + 718.502i −0.0206130 + 0.0525211i
\(573\) 1895.41 1758.68i 0.138188 0.128220i
\(574\) 8784.69 + 5989.30i 0.638791 + 0.435520i
\(575\) 1664.13 2086.76i 0.120694 0.151346i
\(576\) −808.135 121.807i −0.0584588 0.00881125i
\(577\) −16019.5 + 4941.36i −1.15581 + 0.356519i −0.812646 0.582757i \(-0.801974\pi\)
−0.343161 + 0.939277i \(0.611498\pi\)
\(578\) −573.921 + 7658.45i −0.0413010 + 0.551124i
\(579\) −12760.8 + 8700.19i −0.915928 + 0.624469i
\(580\) −883.768 + 3872.04i −0.0632698 + 0.277203i
\(581\) 2759.83 12091.6i 0.197069 0.863415i
\(582\) −21538.2 + 14684.5i −1.53400 + 1.04586i
\(583\) −889.870 + 11874.5i −0.0632156 + 0.843553i
\(584\) −8441.35 + 2603.81i −0.598126 + 0.184497i
\(585\) −508.332 76.6186i −0.0359264 0.00541503i
\(586\) 10071.9 12629.7i 0.710008 0.890322i
\(587\) −3741.53 2550.93i −0.263083 0.179367i 0.424594 0.905384i \(-0.360417\pi\)
−0.687677 + 0.726017i \(0.741369\pi\)
\(588\) −3751.22 + 3480.62i −0.263091 + 0.244113i
\(589\) 9673.51 24647.7i 0.676723 1.72426i
\(590\) −13517.7 4169.65i −0.943243 0.290952i
\(591\) 2038.60 + 981.738i 0.141890 + 0.0683304i
\(592\) −833.452 2123.60i −0.0578626 0.147431i
\(593\) −859.248 11465.9i −0.0595027 0.794008i −0.944521 0.328452i \(-0.893473\pi\)
0.885018 0.465557i \(-0.154146\pi\)
\(594\) 7096.77 + 8899.07i 0.490209 + 0.614703i
\(595\) 2584.03 + 4475.67i 0.178042 + 0.308378i
\(596\) 2502.82 4335.02i 0.172013 0.297935i
\(597\) −10895.7 + 1642.26i −0.746951 + 0.112585i
\(598\) −3021.61 + 1455.13i −0.206627 + 0.0995061i
\(599\) −15539.4 14418.5i −1.05997 0.983510i −0.0600798 0.998194i \(-0.519136\pi\)
−0.999892 + 0.0146833i \(0.995326\pi\)
\(600\) 400.575 + 1755.03i 0.0272557 + 0.119415i
\(601\) −25502.1 −1.73087 −0.865435 0.501021i \(-0.832958\pi\)
−0.865435 + 0.501021i \(0.832958\pi\)
\(602\) −1017.59 + 9363.60i −0.0688936 + 0.633940i
\(603\) −2152.25 −0.145351
\(604\) −1002.68 4393.03i −0.0675471 0.295943i
\(605\) −3974.52 3687.82i −0.267086 0.247820i
\(606\) −6396.11 + 3080.20i −0.428753 + 0.206476i
\(607\) 19074.6 2875.04i 1.27548 0.192247i 0.523837 0.851819i \(-0.324500\pi\)
0.751642 + 0.659571i \(0.229262\pi\)
\(608\) −6425.67 + 11129.6i −0.428611 + 0.742376i
\(609\) 3090.38 + 5352.69i 0.205630 + 0.356161i
\(610\) −8905.72 11167.4i −0.591118 0.741239i
\(611\) 231.858 + 3093.93i 0.0153518 + 0.204856i
\(612\) −444.891 1133.56i −0.0293850 0.0748718i
\(613\) 16883.0 + 8130.43i 1.11240 + 0.535701i 0.897535 0.440943i \(-0.145356\pi\)
0.214861 + 0.976645i \(0.431070\pi\)
\(614\) 6245.90 + 1926.61i 0.410528 + 0.126631i
\(615\) −6885.99 + 17545.2i −0.451496 + 1.15039i
\(616\) −3062.17 + 2841.28i −0.200290 + 0.185842i
\(617\) −12787.8 8718.61i −0.834391 0.568878i 0.0690389 0.997614i \(-0.478007\pi\)
−0.903430 + 0.428736i \(0.858959\pi\)
\(618\) 22407.7 28098.3i 1.45853 1.82893i
\(619\) −16751.5 2524.88i −1.08772 0.163947i −0.419386 0.907808i \(-0.637754\pi\)
−0.668335 + 0.743861i \(0.732993\pi\)
\(620\) 10890.3 3359.20i 0.705425 0.217595i
\(621\) −1142.44 + 15244.8i −0.0738236 + 0.985108i
\(622\) 8954.49 6105.07i 0.577239 0.393555i
\(623\) −92.2702 + 404.262i −0.00593375 + 0.0259975i
\(624\) 784.886 3438.81i 0.0503535 0.220613i
\(625\) −10425.7 + 7108.13i −0.667245 + 0.454920i
\(626\) −1071.24 + 14294.7i −0.0683950 + 0.912668i
\(627\) 13311.3 4105.99i 0.847849 0.261527i
\(628\) −3167.04 477.355i −0.201240 0.0303321i
\(629\) −918.341 + 1151.56i −0.0582141 + 0.0729981i
\(630\) 1861.19 + 1268.94i 0.117701 + 0.0802473i
\(631\) 12076.9 11205.7i 0.761921 0.706960i −0.200148 0.979766i \(-0.564142\pi\)
0.962069 + 0.272806i \(0.0879517\pi\)
\(632\) 2959.79 7541.42i 0.186288 0.474654i
\(633\) −11074.5 3416.04i −0.695376 0.214495i
\(634\) 26164.5 + 12600.1i 1.63900 + 0.789299i
\(635\) 4534.91 + 11554.8i 0.283405 + 0.722105i
\(636\) 652.664 + 8709.19i 0.0406915 + 0.542991i
\(637\) 1172.25 + 1469.96i 0.0729142 + 0.0914315i
\(638\) 5228.01 + 9055.18i 0.324418 + 0.561909i
\(639\) −2567.21 + 4446.53i −0.158931 + 0.275277i
\(640\) 16480.6 2484.05i 1.01789 0.153423i
\(641\) 13178.4 6346.37i 0.812035 0.391056i 0.0186885 0.999825i \(-0.494051\pi\)
0.793347 + 0.608770i \(0.208337\pi\)
\(642\) −7474.82 6935.62i −0.459513 0.426366i
\(643\) 5976.48 + 26184.7i 0.366547 + 1.60595i 0.736192 + 0.676773i \(0.236622\pi\)
−0.369646 + 0.929173i \(0.620521\pi\)
\(644\) 4542.59 0.277955
\(645\) −16584.5 + 1934.99i −1.01243 + 0.118124i
\(646\) 14898.0 0.907356
\(647\) 386.319 + 1692.57i 0.0234741 + 0.102847i 0.985308 0.170788i \(-0.0546312\pi\)
−0.961834 + 0.273635i \(0.911774\pi\)
\(648\) −9523.82 8836.81i −0.577362 0.535714i
\(649\) −10372.0 + 4994.87i −0.627327 + 0.302105i
\(650\) −529.532 + 79.8141i −0.0319538 + 0.00481626i
\(651\) 8867.85 15359.6i 0.533884 0.924714i
\(652\) 3921.33 + 6791.94i 0.235539 + 0.407965i
\(653\) 18527.8 + 23233.1i 1.11033 + 1.39231i 0.911012 + 0.412380i \(0.135302\pi\)
0.199321 + 0.979934i \(0.436126\pi\)
\(654\) −1029.96 13743.9i −0.0615823 0.821758i
\(655\) 8324.44 + 21210.3i 0.496585 + 1.26528i
\(656\) −22891.2 11023.8i −1.36243 0.656110i
\(657\) 3704.39 + 1142.65i 0.219972 + 0.0678525i
\(658\) 4966.90 12655.5i 0.294271 0.749789i
\(659\) 15606.3 14480.6i 0.922514 0.855968i −0.0673871 0.997727i \(-0.521466\pi\)
0.989901 + 0.141759i \(0.0452758\pi\)
\(660\) 4953.94 + 3377.54i 0.292169 + 0.199198i
\(661\) −15282.9 + 19164.1i −0.899296 + 1.12768i 0.0919645 + 0.995762i \(0.470685\pi\)
−0.991260 + 0.131919i \(0.957886\pi\)
\(662\) 17292.5 + 2606.43i 1.01525 + 0.153024i
\(663\) −2176.17 + 671.259i −0.127474 + 0.0393205i
\(664\) −1420.34 + 18953.1i −0.0830117 + 1.10771i
\(665\) −7038.46 + 4798.74i −0.410436 + 0.279830i
\(666\) −142.858 + 625.901i −0.00831175 + 0.0364161i
\(667\) −3124.95 + 13691.3i −0.181407 + 0.794796i
\(668\) −1263.41 + 861.377i −0.0731777 + 0.0498917i
\(669\) 2314.71 30887.7i 0.133770 1.78503i
\(670\) 10829.7 3340.53i 0.624461 0.192621i
\(671\) −11494.1 1732.46i −0.661289 0.0996733i
\(672\) −5367.11 + 6730.15i −0.308097 + 0.386341i
\(673\) −12797.2 8724.95i −0.732978 0.499736i 0.138383 0.990379i \(-0.455810\pi\)
−0.871361 + 0.490643i \(0.836762\pi\)
\(674\) −168.592 + 156.430i −0.00963490 + 0.00893988i
\(675\) −891.821 + 2272.32i −0.0508536 + 0.129573i
\(676\) −7315.57 2256.55i −0.416225 0.128388i
\(677\) 9102.97 + 4383.76i 0.516773 + 0.248865i 0.674045 0.738691i \(-0.264555\pi\)
−0.157272 + 0.987555i \(0.550270\pi\)
\(678\) −6794.78 17312.8i −0.384885 0.980671i
\(679\) −969.456 12936.5i −0.0547928 0.731159i
\(680\) −4937.89 6191.92i −0.278470 0.349190i
\(681\) −18442.6 31943.5i −1.03777 1.79747i
\(682\) 15001.8 25983.9i 0.842300 1.45891i
\(683\) 15917.3 2399.15i 0.891743 0.134409i 0.312841 0.949806i \(-0.398719\pi\)
0.578902 + 0.815397i \(0.303481\pi\)
\(684\) 1808.46 870.908i 0.101094 0.0486842i
\(685\) −21380.3 19838.0i −1.19256 1.10653i
\(686\) −4382.76 19202.1i −0.243928 1.06872i
\(687\) 12719.3 0.706365
\(688\) −930.409 22488.4i −0.0515574 1.24617i
\(689\) 3208.84 0.177427
\(690\) 5797.05 + 25398.5i 0.319841 + 1.40131i
\(691\) −3986.09 3698.55i −0.219447 0.203617i 0.562787 0.826602i \(-0.309729\pi\)
−0.782234 + 0.622985i \(0.785920\pi\)
\(692\) −10331.0 + 4975.13i −0.567521 + 0.273304i
\(693\) 1812.68 273.218i 0.0993623 0.0149765i
\(694\) 15092.4 26140.7i 0.825501 1.42981i
\(695\) 13961.3 + 24181.6i 0.761987 + 1.31980i
\(696\) −5905.48 7405.24i −0.321619 0.403297i
\(697\) 1225.88 + 16358.2i 0.0666190 + 0.888969i
\(698\) −12956.1 33011.6i −0.702573 1.79013i
\(699\) −25910.6 12477.9i −1.40204 0.675189i
\(700\) 693.122 + 213.800i 0.0374250 + 0.0115441i
\(701\) −5518.94 + 14062.0i −0.297357 + 0.757654i 0.701625 + 0.712547i \(0.252458\pi\)
−0.998982 + 0.0451076i \(0.985637\pi\)
\(702\) 2248.45 2086.26i 0.120886 0.112166i
\(703\) −2005.97 1367.65i −0.107620 0.0733738i
\(704\) 2183.56 2738.10i 0.116898 0.146585i
\(705\) 23831.8 + 3592.06i 1.27313 + 0.191893i
\(706\) −21335.4 + 6581.10i −1.13735 + 0.350826i
\(707\) 264.016 3523.05i 0.0140444 0.187409i
\(708\) −6976.21 + 4756.30i −0.370314 + 0.252475i
\(709\) −7608.64 + 33335.6i −0.403030 + 1.76579i 0.211981 + 0.977274i \(0.432009\pi\)
−0.615011 + 0.788518i \(0.710849\pi\)
\(710\) 6016.20 26358.7i 0.318006 1.39327i
\(711\) −2937.46 + 2002.73i −0.154942 + 0.105637i
\(712\) 47.4866 633.664i 0.00249949 0.0333533i
\(713\) 38507.3 11877.9i 2.02259 0.623887i
\(714\) 9867.60 + 1487.30i 0.517207 + 0.0779564i
\(715\) 1373.50 1722.31i 0.0718405 0.0900851i
\(716\) 6100.07 + 4158.96i 0.318394 + 0.217078i
\(717\) 14481.5 13436.8i 0.754282 0.699872i
\(718\) −12007.6 + 30594.9i −0.624122 + 1.59024i
\(719\) 3519.55 + 1085.64i 0.182555 + 0.0563107i 0.384685 0.923048i \(-0.374310\pi\)
−0.202130 + 0.979359i \(0.564786\pi\)
\(720\) −4849.91 2335.60i −0.251036 0.120892i
\(721\) 6534.24 + 16649.0i 0.337515 + 0.859973i
\(722\) 90.9250 + 1213.31i 0.00468681 + 0.0625411i
\(723\) 11608.9 + 14557.1i 0.597152 + 0.748804i
\(724\) −3593.55 6224.22i −0.184466 0.319504i
\(725\) −1121.20 + 1941.98i −0.0574351 + 0.0994804i
\(726\) −10352.2 + 1560.35i −0.529211 + 0.0797657i
\(727\) 4086.64 1968.02i 0.208480 0.100399i −0.326730 0.945118i \(-0.605947\pi\)
0.535210 + 0.844719i \(0.320232\pi\)
\(728\) 825.175 + 765.651i 0.0420097 + 0.0389793i
\(729\) −2849.38 12483.9i −0.144763 0.634249i
\(730\) −20413.3 −1.03497
\(731\) −12273.9 + 7779.99i −0.621022 + 0.393643i
\(732\) −8525.42 −0.430476
\(733\) 793.648 + 3477.20i 0.0399919 + 0.175216i 0.990980 0.134013i \(-0.0427863\pi\)
−0.950988 + 0.309229i \(0.899929\pi\)
\(734\) −15082.0 13994.0i −0.758427 0.703717i
\(735\) 13158.6 6336.85i 0.660357 0.318011i
\(736\) −19340.3 + 2915.09i −0.968606 + 0.145994i
\(737\) 4611.45 7987.26i 0.230481 0.399206i
\(738\) 3575.03 + 6192.14i 0.178318 + 0.308856i
\(739\) −6766.57 8485.01i −0.336823 0.422363i 0.584358 0.811496i \(-0.301346\pi\)
−0.921182 + 0.389133i \(0.872775\pi\)
\(740\) −78.0915 1042.06i −0.00387932 0.0517660i
\(741\) −1371.42 3494.33i −0.0679898 0.173235i
\(742\) −12668.3 6100.74i −0.626777 0.301840i
\(743\) 10279.3 + 3170.74i 0.507551 + 0.156559i 0.537946 0.842979i \(-0.319200\pi\)
−0.0303954 + 0.999538i \(0.509677\pi\)
\(744\) −9929.59 + 25300.2i −0.489296 + 1.24671i
\(745\) −10472.7 + 9717.21i −0.515018 + 0.477867i
\(746\) 20123.3 + 13719.8i 0.987621 + 0.673349i
\(747\) 5200.31 6520.99i 0.254712 0.319398i
\(748\) 5160.01 + 777.747i 0.252231 + 0.0380177i
\(749\) 4849.08 1495.74i 0.236557 0.0729683i
\(750\) −2193.14 + 29265.5i −0.106776 + 1.42483i
\(751\) −31079.6 + 21189.7i −1.51014 + 1.02959i −0.526346 + 0.850271i \(0.676438\pi\)
−0.983790 + 0.179323i \(0.942609\pi\)
\(752\) −7229.30 + 31673.6i −0.350566 + 1.53593i
\(753\) −27.3375 + 119.773i −0.00132302 + 0.00579653i
\(754\) 2328.03 1587.22i 0.112443 0.0766622i
\(755\) −961.056 + 12824.4i −0.0463264 + 0.618183i
\(756\) −3969.97 + 1224.57i −0.190987 + 0.0589118i
\(757\) 81.4217 + 12.2723i 0.00390928 +