Properties

Label 27.4.e.a.25.2
Level 27
Weight 4
Character 27.25
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 25.2
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.592608 + 3.36085i) q^{2} +(-5.15968 + 0.614572i) q^{3} +(-3.42657 - 1.24717i) q^{4} +(-8.41296 + 7.05931i) q^{5} +(0.992184 - 17.7051i) q^{6} +(4.14024 - 1.50692i) q^{7} +(-7.42861 + 12.8667i) q^{8} +(26.2446 - 6.34199i) q^{9} +O(q^{10})\) \(q+(-0.592608 + 3.36085i) q^{2} +(-5.15968 + 0.614572i) q^{3} +(-3.42657 - 1.24717i) q^{4} +(-8.41296 + 7.05931i) q^{5} +(0.992184 - 17.7051i) q^{6} +(4.14024 - 1.50692i) q^{7} +(-7.42861 + 12.8667i) q^{8} +(26.2446 - 6.34199i) q^{9} +(-18.7397 - 32.4581i) q^{10} +(44.1840 + 37.0748i) q^{11} +(18.4465 + 4.32912i) q^{12} +(6.80702 + 38.6045i) q^{13} +(2.61100 + 14.8077i) q^{14} +(39.0697 - 41.5942i) q^{15} +(-61.1878 - 51.3427i) q^{16} +(-44.7356 - 77.4844i) q^{17} +(5.76171 + 91.9624i) q^{18} +(29.6770 - 51.4022i) q^{19} +(37.6318 - 13.6969i) q^{20} +(-20.4362 + 10.3197i) q^{21} +(-150.786 + 126.525i) q^{22} +(21.4850 + 7.81991i) q^{23} +(30.4217 - 70.9536i) q^{24} +(-0.762006 + 4.32155i) q^{25} -133.778 q^{26} +(-131.516 + 48.8519i) q^{27} -16.0662 q^{28} +(-10.2292 + 58.0124i) q^{29} +(116.639 + 155.956i) q^{30} +(313.847 + 114.231i) q^{31} +(117.765 - 98.8166i) q^{32} +(-250.760 - 164.140i) q^{33} +(286.924 - 104.432i) q^{34} +(-24.1938 + 41.9050i) q^{35} +(-97.8386 - 11.0002i) q^{36} +(-47.4944 - 82.2627i) q^{37} +(155.168 + 130.201i) q^{38} +(-58.8473 - 195.004i) q^{39} +(-28.3337 - 160.688i) q^{40} +(-62.8116 - 356.222i) q^{41} +(-22.5724 - 74.7986i) q^{42} +(361.279 + 303.149i) q^{43} +(-105.161 - 182.144i) q^{44} +(-176.025 + 238.624i) q^{45} +(-39.0137 + 67.5738i) q^{46} +(-222.580 + 81.0123i) q^{47} +(347.263 + 227.307i) q^{48} +(-247.882 + 207.998i) q^{49} +(-14.0725 - 5.12197i) q^{50} +(278.441 + 372.302i) q^{51} +(24.8217 - 140.771i) q^{52} +391.866 q^{53} +(-86.2462 - 470.956i) q^{54} -633.441 q^{55} +(-11.3671 + 64.4658i) q^{56} +(-121.534 + 283.457i) q^{57} +(-188.909 - 68.7573i) q^{58} +(429.455 - 360.355i) q^{59} +(-185.750 + 93.7988i) q^{60} +(-158.589 + 57.7218i) q^{61} +(-569.902 + 987.099i) q^{62} +(99.1021 - 65.8060i) q^{63} +(-57.1812 - 99.0407i) q^{64} +(-329.788 - 276.725i) q^{65} +(700.251 - 745.497i) q^{66} +(-94.5245 - 536.075i) q^{67} +(56.6537 + 321.299i) q^{68} +(-115.662 - 27.1441i) q^{69} +(-126.499 - 106.145i) q^{70} +(-97.0579 - 168.109i) q^{71} +(-113.360 + 384.794i) q^{72} +(-80.6653 + 139.716i) q^{73} +(304.618 - 110.872i) q^{74} +(1.27580 - 22.7661i) q^{75} +(-165.798 + 139.121i) q^{76} +(238.801 + 86.9166i) q^{77} +(690.251 - 82.2161i) q^{78} +(63.1254 - 358.002i) q^{79} +877.215 q^{80} +(648.558 - 332.886i) q^{81} +1234.43 q^{82} +(-98.1145 + 556.435i) q^{83} +(82.8966 - 9.87386i) q^{84} +(923.346 + 336.070i) q^{85} +(-1232.93 + 1034.55i) q^{86} +(17.1263 - 305.612i) q^{87} +(-805.257 + 293.090i) q^{88} +(187.611 - 324.952i) q^{89} +(-697.665 - 733.003i) q^{90} +(86.3568 + 149.574i) q^{91} +(-63.8673 - 53.5910i) q^{92} +(-1689.55 - 396.514i) q^{93} +(-140.368 - 796.065i) q^{94} +(113.192 + 641.944i) q^{95} +(-546.900 + 582.237i) q^{96} +(-446.844 - 374.947i) q^{97} +(-552.153 - 956.357i) q^{98} +(1394.72 + 692.798i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.592608 + 3.36085i −0.209519 + 1.18824i 0.680650 + 0.732608i \(0.261697\pi\)
−0.890169 + 0.455631i \(0.849414\pi\)
\(3\) −5.15968 + 0.614572i −0.992981 + 0.118275i
\(4\) −3.42657 1.24717i −0.428322 0.155896i
\(5\) −8.41296 + 7.05931i −0.752478 + 0.631404i −0.936157 0.351582i \(-0.885644\pi\)
0.183679 + 0.982986i \(0.441199\pi\)
\(6\) 0.992184 17.7051i 0.0675096 1.20468i
\(7\) 4.14024 1.50692i 0.223552 0.0813663i −0.227816 0.973704i \(-0.573158\pi\)
0.451368 + 0.892338i \(0.350936\pi\)
\(8\) −7.42861 + 12.8667i −0.328301 + 0.568635i
\(9\) 26.2446 6.34199i 0.972022 0.234889i
\(10\) −18.7397 32.4581i −0.592601 1.02641i
\(11\) 44.1840 + 37.0748i 1.21109 + 1.01622i 0.999242 + 0.0389212i \(0.0123921\pi\)
0.211846 + 0.977303i \(0.432052\pi\)
\(12\) 18.4465 + 4.32912i 0.443754 + 0.104143i
\(13\) 6.80702 + 38.6045i 0.145225 + 0.823613i 0.967186 + 0.254069i \(0.0817690\pi\)
−0.821961 + 0.569544i \(0.807120\pi\)
\(14\) 2.61100 + 14.8077i 0.0498443 + 0.282681i
\(15\) 39.0697 41.5942i 0.672517 0.715971i
\(16\) −61.1878 51.3427i −0.956060 0.802229i
\(17\) −44.7356 77.4844i −0.638235 1.10545i −0.985820 0.167806i \(-0.946332\pi\)
0.347585 0.937648i \(-0.387002\pi\)
\(18\) 5.76171 + 91.9624i 0.0754471 + 1.20421i
\(19\) 29.6770 51.4022i 0.358336 0.620656i −0.629347 0.777124i \(-0.716678\pi\)
0.987683 + 0.156468i \(0.0500109\pi\)
\(20\) 37.6318 13.6969i 0.420736 0.153135i
\(21\) −20.4362 + 10.3197i −0.212359 + 0.107236i
\(22\) −150.786 + 126.525i −1.46126 + 1.22615i
\(23\) 21.4850 + 7.81991i 0.194780 + 0.0708941i 0.437568 0.899185i \(-0.355840\pi\)
−0.242788 + 0.970079i \(0.578062\pi\)
\(24\) 30.4217 70.9536i 0.258742 0.603473i
\(25\) −0.762006 + 4.32155i −0.00609604 + 0.0345724i
\(26\) −133.778 −1.00908
\(27\) −131.516 + 48.8519i −0.937418 + 0.348205i
\(28\) −16.0662 −0.108437
\(29\) −10.2292 + 58.0124i −0.0655002 + 0.371470i 0.934384 + 0.356267i \(0.115951\pi\)
−0.999884 + 0.0152033i \(0.995160\pi\)
\(30\) 116.639 + 155.956i 0.709840 + 0.949121i
\(31\) 313.847 + 114.231i 1.81834 + 0.661823i 0.995632 + 0.0933628i \(0.0297616\pi\)
0.822711 + 0.568460i \(0.192461\pi\)
\(32\) 117.765 98.8166i 0.650566 0.545889i
\(33\) −250.760 164.140i −1.32278 0.865850i
\(34\) 286.924 104.432i 1.44727 0.526762i
\(35\) −24.1938 + 41.9050i −0.116843 + 0.202378i
\(36\) −97.8386 11.0002i −0.452956 0.0509268i
\(37\) −47.4944 82.2627i −0.211028 0.365511i 0.741009 0.671495i \(-0.234348\pi\)
−0.952036 + 0.305985i \(0.901014\pi\)
\(38\) 155.168 + 130.201i 0.662410 + 0.555828i
\(39\) −58.8473 195.004i −0.241618 0.800655i
\(40\) −28.3337 160.688i −0.111999 0.635176i
\(41\) −62.8116 356.222i −0.239257 1.35689i −0.833461 0.552578i \(-0.813644\pi\)
0.594204 0.804314i \(-0.297467\pi\)
\(42\) −22.5724 74.7986i −0.0829284 0.274802i
\(43\) 361.279 + 303.149i 1.28127 + 1.07511i 0.993068 + 0.117540i \(0.0375007\pi\)
0.288198 + 0.957571i \(0.406944\pi\)
\(44\) −105.161 182.144i −0.360310 0.624075i
\(45\) −176.025 + 238.624i −0.583116 + 0.790487i
\(46\) −39.0137 + 67.5738i −0.125049 + 0.216591i
\(47\) −222.580 + 81.0123i −0.690778 + 0.251423i −0.663468 0.748204i \(-0.730916\pi\)
−0.0273097 + 0.999627i \(0.508694\pi\)
\(48\) 347.263 + 227.307i 1.04423 + 0.683521i
\(49\) −247.882 + 207.998i −0.722689 + 0.606408i
\(50\) −14.0725 5.12197i −0.0398030 0.0144871i
\(51\) 278.441 + 372.302i 0.764502 + 1.02221i
\(52\) 24.8217 140.771i 0.0661951 0.375411i
\(53\) 391.866 1.01560 0.507802 0.861474i \(-0.330458\pi\)
0.507802 + 0.861474i \(0.330458\pi\)
\(54\) −86.2462 470.956i −0.217345 1.18683i
\(55\) −633.441 −1.55297
\(56\) −11.3671 + 64.4658i −0.0271248 + 0.153832i
\(57\) −121.534 + 283.457i −0.282413 + 0.658682i
\(58\) −188.909 68.7573i −0.427672 0.155660i
\(59\) 429.455 360.355i 0.947631 0.795157i −0.0312660 0.999511i \(-0.509954\pi\)
0.978897 + 0.204354i \(0.0655094\pi\)
\(60\) −185.750 + 93.7988i −0.399671 + 0.201823i
\(61\) −158.589 + 57.7218i −0.332874 + 0.121156i −0.503050 0.864258i \(-0.667789\pi\)
0.170176 + 0.985414i \(0.445566\pi\)
\(62\) −569.902 + 987.099i −1.16738 + 2.02196i
\(63\) 99.1021 65.8060i 0.198186 0.131600i
\(64\) −57.1812 99.0407i −0.111682 0.193439i
\(65\) −329.788 276.725i −0.629311 0.528055i
\(66\) 700.251 745.497i 1.30598 1.39037i
\(67\) −94.5245 536.075i −0.172358 0.977493i −0.941149 0.337992i \(-0.890252\pi\)
0.768791 0.639501i \(-0.220859\pi\)
\(68\) 56.6537 + 321.299i 0.101033 + 0.572989i
\(69\) −115.662 27.1441i −0.201798 0.0473590i
\(70\) −126.499 106.145i −0.215993 0.181239i
\(71\) −97.0579 168.109i −0.162235 0.280998i 0.773435 0.633875i \(-0.218537\pi\)
−0.935670 + 0.352877i \(0.885203\pi\)
\(72\) −113.360 + 384.794i −0.185550 + 0.629840i
\(73\) −80.6653 + 139.716i −0.129331 + 0.224008i −0.923418 0.383797i \(-0.874616\pi\)
0.794087 + 0.607805i \(0.207950\pi\)
\(74\) 304.618 110.872i 0.478529 0.174170i
\(75\) 1.27580 22.7661i 0.00196422 0.0350507i
\(76\) −165.798 + 139.121i −0.250241 + 0.209977i
\(77\) 238.801 + 86.9166i 0.353428 + 0.128637i
\(78\) 690.251 82.2161i 1.00199 0.119348i
\(79\) 63.1254 358.002i 0.0899008 0.509853i −0.906290 0.422656i \(-0.861098\pi\)
0.996191 0.0871971i \(-0.0277910\pi\)
\(80\) 877.215 1.22594
\(81\) 648.558 332.886i 0.889655 0.456634i
\(82\) 1234.43 1.66244
\(83\) −98.1145 + 556.435i −0.129753 + 0.735864i 0.848618 + 0.529006i \(0.177435\pi\)
−0.978371 + 0.206858i \(0.933676\pi\)
\(84\) 82.8966 9.87386i 0.107676 0.0128253i
\(85\) 923.346 + 336.070i 1.17825 + 0.428847i
\(86\) −1232.93 + 1034.55i −1.54594 + 1.29720i
\(87\) 17.1263 305.612i 0.0211050 0.376610i
\(88\) −805.257 + 293.090i −0.975462 + 0.355039i
\(89\) 187.611 324.952i 0.223446 0.387021i −0.732406 0.680868i \(-0.761603\pi\)
0.955852 + 0.293848i \(0.0949359\pi\)
\(90\) −697.665 733.003i −0.817114 0.858503i
\(91\) 86.3568 + 149.574i 0.0994797 + 0.172304i
\(92\) −63.8673 53.5910i −0.0723763 0.0607309i
\(93\) −1689.55 396.514i −1.88386 0.442114i
\(94\) −140.368 796.065i −0.154019 0.873487i
\(95\) 113.192 + 641.944i 0.122245 + 0.693285i
\(96\) −546.900 + 582.237i −0.581435 + 0.619003i
\(97\) −446.844 374.947i −0.467734 0.392475i 0.378233 0.925710i \(-0.376532\pi\)
−0.845967 + 0.533235i \(0.820976\pi\)
\(98\) −552.153 956.357i −0.569141 0.985782i
\(99\) 1394.72 + 692.798i 1.41590 + 0.703321i
\(100\) 8.00078 13.8578i 0.00800078 0.0138578i
\(101\) −46.3214 + 16.8596i −0.0456351 + 0.0166098i −0.364737 0.931111i \(-0.618841\pi\)
0.319102 + 0.947720i \(0.396619\pi\)
\(102\) −1416.26 + 715.170i −1.37481 + 0.694239i
\(103\) 276.401 231.928i 0.264414 0.221870i −0.500935 0.865485i \(-0.667011\pi\)
0.765349 + 0.643615i \(0.222566\pi\)
\(104\) −547.281 199.194i −0.516012 0.187813i
\(105\) 99.0789 231.085i 0.0920867 0.214777i
\(106\) −232.223 + 1317.00i −0.212788 + 1.20678i
\(107\) 1057.66 0.955583 0.477792 0.878473i \(-0.341437\pi\)
0.477792 + 0.878473i \(0.341437\pi\)
\(108\) 511.576 3.37144i 0.455800 0.00300386i
\(109\) 9.04341 0.00794680 0.00397340 0.999992i \(-0.498735\pi\)
0.00397340 + 0.999992i \(0.498735\pi\)
\(110\) 375.382 2128.90i 0.325375 1.84529i
\(111\) 295.612 + 395.260i 0.252777 + 0.337986i
\(112\) −330.702 120.366i −0.279004 0.101549i
\(113\) −154.128 + 129.329i −0.128311 + 0.107666i −0.704685 0.709520i \(-0.748912\pi\)
0.576374 + 0.817186i \(0.304467\pi\)
\(114\) −880.635 576.436i −0.723500 0.473580i
\(115\) −235.956 + 85.8809i −0.191330 + 0.0696386i
\(116\) 107.402 186.026i 0.0859660 0.148898i
\(117\) 423.477 + 969.990i 0.334619 + 0.766458i
\(118\) 956.601 + 1656.88i 0.746290 + 1.29261i
\(119\) −301.980 253.391i −0.232625 0.195196i
\(120\) 244.947 + 811.687i 0.186338 + 0.617471i
\(121\) 346.561 + 1965.44i 0.260376 + 1.47667i
\(122\) −100.013 567.201i −0.0742192 0.420918i
\(123\) 543.012 + 1799.39i 0.398063 + 1.31907i
\(124\) −932.955 782.842i −0.675660 0.566946i
\(125\) −710.493 1230.61i −0.508387 0.880552i
\(126\) 162.435 + 372.064i 0.114848 + 0.263064i
\(127\) 619.475 1072.96i 0.432831 0.749685i −0.564285 0.825580i \(-0.690848\pi\)
0.997116 + 0.0758949i \(0.0241813\pi\)
\(128\) 1522.43 554.118i 1.05129 0.382638i
\(129\) −2050.39 1342.12i −1.39943 0.916023i
\(130\) 1125.47 944.379i 0.759308 0.637135i
\(131\) −616.689 224.457i −0.411301 0.149701i 0.128079 0.991764i \(-0.459119\pi\)
−0.539380 + 0.842063i \(0.681341\pi\)
\(132\) 654.539 + 875.178i 0.431593 + 0.577079i
\(133\) 45.4110 257.538i 0.0296063 0.167905i
\(134\) 1857.68 1.19761
\(135\) 761.579 1339.40i 0.485528 0.853907i
\(136\) 1329.29 0.838133
\(137\) −8.59676 + 48.7546i −0.00536110 + 0.0304043i −0.987371 0.158425i \(-0.949358\pi\)
0.982010 + 0.188830i \(0.0604694\pi\)
\(138\) 159.769 372.636i 0.0985542 0.229861i
\(139\) −1881.50 684.810i −1.14811 0.417876i −0.303271 0.952904i \(-0.598079\pi\)
−0.844834 + 0.535028i \(0.820301\pi\)
\(140\) 135.165 113.417i 0.0815964 0.0684675i
\(141\) 1098.65 554.789i 0.656193 0.331359i
\(142\) 622.507 226.574i 0.367884 0.133899i
\(143\) −1130.49 + 1958.07i −0.661094 + 1.14505i
\(144\) −1931.46 959.415i −1.11775 0.555217i
\(145\) −323.470 560.267i −0.185260 0.320880i
\(146\) −421.762 353.901i −0.239077 0.200610i
\(147\) 1151.16 1225.55i 0.645894 0.687628i
\(148\) 60.1474 + 341.113i 0.0334060 + 0.189455i
\(149\) 460.660 + 2612.53i 0.253280 + 1.43642i 0.800449 + 0.599401i \(0.204594\pi\)
−0.547169 + 0.837022i \(0.684294\pi\)
\(150\) 75.7574 + 17.7792i 0.0412371 + 0.00967775i
\(151\) 321.286 + 269.591i 0.173152 + 0.145292i 0.725245 0.688491i \(-0.241726\pi\)
−0.552093 + 0.833782i \(0.686171\pi\)
\(152\) 440.919 + 763.693i 0.235284 + 0.407524i
\(153\) −1665.47 1749.83i −0.880037 0.924613i
\(154\) −433.629 + 751.068i −0.226901 + 0.393005i
\(155\) −3446.78 + 1254.52i −1.78614 + 0.650102i
\(156\) −41.5581 + 741.586i −0.0213289 + 0.380605i
\(157\) 1896.89 1591.68i 0.964255 0.809106i −0.0173851 0.999849i \(-0.505534\pi\)
0.981640 + 0.190743i \(0.0610897\pi\)
\(158\) 1165.78 + 424.310i 0.586991 + 0.213647i
\(159\) −2021.91 + 240.830i −1.00848 + 0.120120i
\(160\) −293.175 + 1662.68i −0.144860 + 0.821540i
\(161\) 100.737 0.0493118
\(162\) 734.439 + 2376.98i 0.356191 + 1.15280i
\(163\) −2583.99 −1.24168 −0.620840 0.783938i \(-0.713208\pi\)
−0.620840 + 0.783938i \(0.713208\pi\)
\(164\) −229.041 + 1298.96i −0.109056 + 0.618486i
\(165\) 3268.35 389.295i 1.54207 0.183676i
\(166\) −1811.95 659.496i −0.847196 0.308354i
\(167\) 485.949 407.759i 0.225173 0.188942i −0.523221 0.852197i \(-0.675270\pi\)
0.748394 + 0.663255i \(0.230825\pi\)
\(168\) 19.0315 339.609i 0.00873994 0.155961i
\(169\) 620.532 225.855i 0.282445 0.102802i
\(170\) −1676.66 + 2904.07i −0.756437 + 1.31019i
\(171\) 452.870 1537.24i 0.202525 0.687460i
\(172\) −859.869 1489.34i −0.381188 0.660238i
\(173\) 1301.36 + 1091.97i 0.571912 + 0.479891i 0.882280 0.470726i \(-0.156008\pi\)
−0.310368 + 0.950616i \(0.600452\pi\)
\(174\) 1016.97 + 238.667i 0.443081 + 0.103985i
\(175\) 3.35736 + 19.0405i 0.00145024 + 0.00822474i
\(176\) −800.004 4537.05i −0.342628 1.94314i
\(177\) −1994.38 + 2123.25i −0.846933 + 0.901656i
\(178\) 980.934 + 823.101i 0.413057 + 0.346596i
\(179\) −324.339 561.772i −0.135432 0.234574i 0.790331 0.612681i \(-0.209909\pi\)
−0.925762 + 0.378106i \(0.876575\pi\)
\(180\) 900.766 598.129i 0.372995 0.247677i
\(181\) −1836.50 + 3180.92i −0.754178 + 1.30627i 0.191605 + 0.981472i \(0.438631\pi\)
−0.945782 + 0.324802i \(0.894702\pi\)
\(182\) −553.872 + 201.593i −0.225581 + 0.0821048i
\(183\) 782.797 395.291i 0.316208 0.159676i
\(184\) −260.221 + 218.351i −0.104259 + 0.0874840i
\(185\) 980.286 + 356.795i 0.389579 + 0.141795i
\(186\) 2333.87 5443.36i 0.920040 2.14584i
\(187\) 896.118 5082.14i 0.350431 1.98739i
\(188\) 863.721 0.335071
\(189\) −470.893 + 400.444i −0.181230 + 0.154116i
\(190\) −2224.55 −0.849401
\(191\) −300.125 + 1702.09i −0.113698 + 0.644812i 0.873689 + 0.486485i \(0.161721\pi\)
−0.987387 + 0.158327i \(0.949390\pi\)
\(192\) 355.904 + 475.876i 0.133777 + 0.178872i
\(193\) −1021.06 371.635i −0.380815 0.138605i 0.144518 0.989502i \(-0.453837\pi\)
−0.525333 + 0.850897i \(0.676059\pi\)
\(194\) 1524.94 1279.58i 0.564353 0.473549i
\(195\) 1871.67 + 1225.14i 0.687349 + 0.449917i
\(196\) 1108.80 403.569i 0.404080 0.147073i
\(197\) 1804.76 3125.94i 0.652711 1.13053i −0.329751 0.944068i \(-0.606965\pi\)
0.982462 0.186461i \(-0.0597019\pi\)
\(198\) −3154.91 + 4276.88i −1.13237 + 1.53507i
\(199\) −726.376 1258.12i −0.258751 0.448169i 0.707157 0.707057i \(-0.249977\pi\)
−0.965908 + 0.258887i \(0.916644\pi\)
\(200\) −49.9436 41.9076i −0.0176577 0.0148166i
\(201\) 817.173 + 2707.89i 0.286761 + 0.950246i
\(202\) −29.2121 165.670i −0.0101750 0.0577055i
\(203\) 45.0692 + 255.600i 0.0155824 + 0.0883725i
\(204\) −489.776 1622.98i −0.168094 0.557017i
\(205\) 3043.12 + 2553.48i 1.03678 + 0.869964i
\(206\) 615.678 + 1066.39i 0.208235 + 0.360673i
\(207\) 613.460 + 68.9725i 0.205983 + 0.0231590i
\(208\) 1565.55 2711.62i 0.521882 0.903927i
\(209\) 3216.97 1170.88i 1.06470 0.387520i
\(210\) 717.927 + 469.932i 0.235913 + 0.154421i
\(211\) −2476.58 + 2078.10i −0.808031 + 0.678019i −0.950137 0.311833i \(-0.899057\pi\)
0.142106 + 0.989851i \(0.454613\pi\)
\(212\) −1342.76 488.724i −0.435005 0.158329i
\(213\) 604.103 + 807.740i 0.194331 + 0.259838i
\(214\) −626.775 + 3554.62i −0.200212 + 1.13546i
\(215\) −5179.44 −1.64295
\(216\) 348.418 2055.08i 0.109754 0.647365i
\(217\) 1471.54 0.460344
\(218\) −5.35920 + 30.3935i −0.00166500 + 0.00944270i
\(219\) 330.341 770.466i 0.101929 0.237732i
\(220\) 2170.53 + 790.009i 0.665169 + 0.242102i
\(221\) 2686.73 2254.44i 0.817779 0.686198i
\(222\) −1503.59 + 759.273i −0.454570 + 0.229545i
\(223\) −1855.19 + 675.235i −0.557098 + 0.202767i −0.605197 0.796075i \(-0.706906\pi\)
0.0480993 + 0.998843i \(0.484684\pi\)
\(224\) 338.666 586.587i 0.101018 0.174969i
\(225\) 7.40870 + 118.250i 0.00219517 + 0.0350370i
\(226\) −343.317 594.642i −0.101049 0.175022i
\(227\) 1207.65 + 1013.34i 0.353105 + 0.296290i 0.802035 0.597277i \(-0.203751\pi\)
−0.448931 + 0.893567i \(0.648195\pi\)
\(228\) 769.964 819.714i 0.223650 0.238100i
\(229\) 1123.45 + 6371.42i 0.324192 + 1.83858i 0.515295 + 0.857013i \(0.327682\pi\)
−0.191103 + 0.981570i \(0.561206\pi\)
\(230\) −148.803 843.906i −0.0426600 0.241937i
\(231\) −1285.56 301.701i −0.366162 0.0859328i
\(232\) −670.442 562.568i −0.189727 0.159200i
\(233\) −1287.98 2230.85i −0.362139 0.627244i 0.626173 0.779684i \(-0.284620\pi\)
−0.988313 + 0.152440i \(0.951287\pi\)
\(234\) −3510.94 + 848.418i −0.980844 + 0.237021i
\(235\) 1300.66 2252.81i 0.361046 0.625350i
\(236\) −1920.98 + 699.180i −0.529853 + 0.192851i
\(237\) −105.689 + 1885.97i −0.0289672 + 0.516907i
\(238\) 1030.56 864.746i 0.280679 0.235517i
\(239\) 142.381 + 51.8223i 0.0385349 + 0.0140255i 0.361216 0.932482i \(-0.382362\pi\)
−0.322681 + 0.946508i \(0.604584\pi\)
\(240\) −4526.15 + 539.112i −1.21734 + 0.144998i
\(241\) 995.577 5646.20i 0.266103 1.50914i −0.499774 0.866156i \(-0.666584\pi\)
0.765877 0.642987i \(-0.222305\pi\)
\(242\) −6810.93 −1.80919
\(243\) −3141.77 + 2116.17i −0.829402 + 0.558652i
\(244\) 615.407 0.161465
\(245\) 617.102 3499.76i 0.160919 0.912618i
\(246\) −6369.27 + 758.648i −1.65077 + 0.196624i
\(247\) 2186.37 + 795.772i 0.563219 + 0.204995i
\(248\) −3801.23 + 3189.61i −0.973300 + 0.816696i
\(249\) 164.270 2931.33i 0.0418080 0.746045i
\(250\) 4556.93 1658.59i 1.15282 0.419593i
\(251\) −352.490 + 610.530i −0.0886413 + 0.153531i −0.906937 0.421266i \(-0.861586\pi\)
0.818296 + 0.574797i \(0.194919\pi\)
\(252\) −421.652 + 101.892i −0.105403 + 0.0254706i
\(253\) 659.373 + 1142.07i 0.163851 + 0.283799i
\(254\) 3238.96 + 2717.81i 0.800119 + 0.671380i
\(255\) −4970.71 1166.55i −1.22070 0.286480i
\(256\) 801.234 + 4544.02i 0.195614 + 1.10938i
\(257\) 130.772 + 741.644i 0.0317406 + 0.180010i 0.996556 0.0829166i \(-0.0264235\pi\)
−0.964816 + 0.262926i \(0.915312\pi\)
\(258\) 5725.73 6095.69i 1.38166 1.47094i
\(259\) −320.602 269.017i −0.0769160 0.0645402i
\(260\) 784.920 + 1359.52i 0.187226 + 0.324285i
\(261\) 99.4543 + 1587.39i 0.0235865 + 0.376463i
\(262\) 1119.82 1939.58i 0.264056 0.457359i
\(263\) 5836.63 2124.36i 1.36845 0.498074i 0.449792 0.893133i \(-0.351498\pi\)
0.918656 + 0.395059i \(0.129276\pi\)
\(264\) 3974.74 2007.14i 0.926623 0.467920i
\(265\) −3296.76 + 2766.31i −0.764219 + 0.641256i
\(266\) 838.637 + 305.239i 0.193309 + 0.0703586i
\(267\) −768.307 + 1791.95i −0.176103 + 0.410732i
\(268\) −344.682 + 1954.79i −0.0785627 + 0.445551i
\(269\) 3724.81 0.844259 0.422130 0.906535i \(-0.361283\pi\)
0.422130 + 0.906535i \(0.361283\pi\)
\(270\) 4050.21 + 3353.29i 0.912918 + 0.755833i
\(271\) 5353.13 1.19992 0.599962 0.800028i \(-0.295182\pi\)
0.599962 + 0.800028i \(0.295182\pi\)
\(272\) −1240.98 + 7037.95i −0.276638 + 1.56889i
\(273\) −537.498 718.683i −0.119161 0.159329i
\(274\) −158.762 57.7848i −0.0350043 0.0127405i
\(275\) −193.889 + 162.692i −0.0425161 + 0.0356753i
\(276\) 362.470 + 237.261i 0.0790512 + 0.0517444i
\(277\) −2818.41 + 1025.82i −0.611343 + 0.222511i −0.629091 0.777332i \(-0.716573\pi\)
0.0177478 + 0.999842i \(0.494350\pi\)
\(278\) 3416.53 5917.61i 0.737086 1.27667i
\(279\) 8961.25 + 1007.53i 1.92292 + 0.216198i
\(280\) −359.453 622.591i −0.0767194 0.132882i
\(281\) −5654.94 4745.06i −1.20052 1.00735i −0.999615 0.0277427i \(-0.991168\pi\)
−0.200903 0.979611i \(-0.564387\pi\)
\(282\) 1213.49 + 4021.17i 0.256250 + 0.849140i
\(283\) −1527.10 8660.59i −0.320765 1.81915i −0.537903 0.843007i \(-0.680783\pi\)
0.217138 0.976141i \(-0.430328\pi\)
\(284\) 122.915 + 697.086i 0.0256819 + 0.145649i
\(285\) −978.556 3242.66i −0.203385 0.673960i
\(286\) −5910.84 4959.78i −1.22208 1.02545i
\(287\) −796.856 1380.19i −0.163892 0.283869i
\(288\) 2464.00 3340.27i 0.504141 0.683427i
\(289\) −1546.06 + 2677.85i −0.314687 + 0.545053i
\(290\) 2074.66 755.116i 0.420098 0.152903i
\(291\) 2536.01 + 1659.99i 0.510871 + 0.334399i
\(292\) 450.656 378.145i 0.0903172 0.0757851i
\(293\) −928.038 337.778i −0.185039 0.0673489i 0.247839 0.968801i \(-0.420280\pi\)
−0.432878 + 0.901452i \(0.642502\pi\)
\(294\) 3436.68 + 4595.16i 0.681739 + 0.911548i
\(295\) −1069.12 + 6063.31i −0.211006 + 1.19668i
\(296\) 1411.27 0.277123
\(297\) −7622.08 2717.46i −1.48915 0.530919i
\(298\) −9053.32 −1.75988
\(299\) −155.635 + 882.649i −0.0301023 + 0.170719i
\(300\) −32.7649 + 76.4186i −0.00630560 + 0.0147068i
\(301\) 1952.60 + 710.689i 0.373908 + 0.136091i
\(302\) −1096.45 + 920.033i −0.208920 + 0.175304i
\(303\) 228.642 115.458i 0.0433503 0.0218907i
\(304\) −4455.00 + 1621.49i −0.840499 + 0.305917i
\(305\) 926.730 1605.14i 0.173982 0.301345i
\(306\) 6867.90 4560.44i 1.28305 0.851971i
\(307\) 833.402 + 1443.49i 0.154934 + 0.268354i 0.933035 0.359786i \(-0.117150\pi\)
−0.778101 + 0.628139i \(0.783817\pi\)
\(308\) −709.871 595.652i −0.131327 0.110196i
\(309\) −1283.61 + 1366.54i −0.236316 + 0.251586i
\(310\) −2173.68 12327.5i −0.398247 2.25857i
\(311\) 740.442 + 4199.25i 0.135005 + 0.765652i 0.974856 + 0.222835i \(0.0715312\pi\)
−0.839851 + 0.542817i \(0.817358\pi\)
\(312\) 2946.21 + 691.433i 0.534604 + 0.125464i
\(313\) 1174.22 + 985.287i 0.212047 + 0.177929i 0.742625 0.669708i \(-0.233581\pi\)
−0.530578 + 0.847636i \(0.678025\pi\)
\(314\) 4225.27 + 7318.39i 0.759382 + 1.31529i
\(315\) −369.197 + 1253.22i −0.0660377 + 0.224161i
\(316\) −662.794 + 1147.99i −0.117991 + 0.204366i
\(317\) −7649.43 + 2784.16i −1.35531 + 0.493294i −0.914602 0.404354i \(-0.867496\pi\)
−0.440712 + 0.897649i \(0.645274\pi\)
\(318\) 388.804 6938.04i 0.0685630 1.22348i
\(319\) −2602.76 + 2183.98i −0.456824 + 0.383321i
\(320\) 1180.22 + 429.566i 0.206176 + 0.0750421i
\(321\) −5457.16 + 650.006i −0.948876 + 0.113021i
\(322\) −59.6977 + 338.563i −0.0103317 + 0.0585943i
\(323\) −5310.49 −0.914809
\(324\) −2637.50 + 331.796i −0.452246 + 0.0568924i
\(325\) −172.018 −0.0293596
\(326\) 1531.29 8684.40i 0.260155 1.47541i
\(327\) −46.6611 + 5.55783i −0.00789102 + 0.000939904i
\(328\) 5050.02 + 1838.06i 0.850124 + 0.309420i
\(329\) −799.454 + 670.821i −0.133968 + 0.112412i
\(330\) −628.490 + 11215.1i −0.104840 + 1.87083i
\(331\) 2555.79 930.231i 0.424407 0.154472i −0.120982 0.992655i \(-0.538604\pi\)
0.545389 + 0.838183i \(0.316382\pi\)
\(332\) 1030.17 1784.30i 0.170294 0.294958i
\(333\) −1768.18 1857.74i −0.290978 0.305717i
\(334\) 1082.44 + 1874.84i 0.177331 + 0.307146i
\(335\) 4579.55 + 3842.70i 0.746889 + 0.626714i
\(336\) 1780.29 + 417.808i 0.289056 + 0.0678372i
\(337\) −1188.67 6741.28i −0.192139 1.08968i −0.916434 0.400185i \(-0.868946\pi\)
0.724295 0.689490i \(-0.242165\pi\)
\(338\) 391.333 + 2219.36i 0.0629754 + 0.357151i
\(339\) 715.769 762.017i 0.114676 0.122086i
\(340\) −2744.77 2303.14i −0.437813 0.367368i
\(341\) 9631.94 + 16683.0i 1.52961 + 2.64937i
\(342\) 4898.06 + 2433.01i 0.774435 + 0.384684i
\(343\) −1468.48 + 2543.48i −0.231167 + 0.400393i
\(344\) −6584.33 + 2396.50i −1.03199 + 0.375612i
\(345\) 1164.68 588.130i 0.181751 0.0917793i
\(346\) −4441.15 + 3726.57i −0.690051 + 0.579022i
\(347\) −9118.05 3318.70i −1.41061 0.513421i −0.479302 0.877650i \(-0.659110\pi\)
−0.931309 + 0.364229i \(0.881333\pi\)
\(348\) −439.835 + 1025.84i −0.0677518 + 0.158020i
\(349\) −47.7106 + 270.580i −0.00731773 + 0.0415009i −0.988248 0.152859i \(-0.951152\pi\)
0.980930 + 0.194360i \(0.0622630\pi\)
\(350\) −65.9820 −0.0100768
\(351\) −2781.13 4744.58i −0.422923 0.721501i
\(352\) 8866.93 1.34264
\(353\) 301.178 1708.07i 0.0454110 0.257539i −0.953647 0.300927i \(-0.902704\pi\)
0.999058 + 0.0433879i \(0.0138151\pi\)
\(354\) −5954.03 7961.08i −0.893935 1.19527i
\(355\) 2003.28 + 729.134i 0.299501 + 0.109010i
\(356\) −1048.13 + 879.488i −0.156042 + 0.130935i
\(357\) 1713.85 + 1121.83i 0.254079 + 0.166312i
\(358\) 2080.24 757.144i 0.307106 0.111777i
\(359\) 2140.65 3707.72i 0.314706 0.545087i −0.664669 0.747138i \(-0.731427\pi\)
0.979375 + 0.202051i \(0.0647608\pi\)
\(360\) −1762.69 4037.51i −0.258061 0.591098i
\(361\) 1668.05 + 2889.14i 0.243191 + 0.421219i
\(362\) −9602.25 8057.24i −1.39415 1.16983i
\(363\) −2996.05 9928.08i −0.433201 1.43551i
\(364\) −109.363 620.229i −0.0157478 0.0893100i
\(365\) −307.667 1744.87i −0.0441207 0.250221i
\(366\) 864.621 + 2865.11i 0.123482 + 0.409185i
\(367\) 3103.10 + 2603.81i 0.441363 + 0.370348i 0.836219 0.548395i \(-0.184761\pi\)
−0.394856 + 0.918743i \(0.629206\pi\)
\(368\) −913.127 1581.58i −0.129348 0.224037i
\(369\) −3907.63 8950.56i −0.551282 1.26273i
\(370\) −1780.06 + 3083.15i −0.250110 + 0.433204i
\(371\) 1622.42 590.513i 0.227040 0.0826359i
\(372\) 5294.86 + 3465.85i 0.737973 + 0.483053i
\(373\) 10652.1 8938.17i 1.47867 1.24075i 0.571085 0.820891i \(-0.306523\pi\)
0.907587 0.419863i \(-0.137922\pi\)
\(374\) 16549.2 + 6023.43i 2.28808 + 0.832792i
\(375\) 4422.21 + 5912.90i 0.608966 + 0.814243i
\(376\) 611.093 3465.68i 0.0838157 0.475343i
\(377\) −2309.17 −0.315460
\(378\) −1066.77 1819.90i −0.145156 0.247634i
\(379\) 5487.05 0.743669 0.371835 0.928299i \(-0.378729\pi\)
0.371835 + 0.928299i \(0.378729\pi\)
\(380\) 412.753 2340.84i 0.0557204 0.316006i
\(381\) −2536.88 + 5916.86i −0.341124 + 0.795616i
\(382\) −5542.62 2017.35i −0.742369 0.270200i
\(383\) 6866.35 5761.55i 0.916068 0.768672i −0.0571957 0.998363i \(-0.518216\pi\)
0.973264 + 0.229691i \(0.0737714\pi\)
\(384\) −7514.70 + 3794.72i −0.998653 + 0.504292i
\(385\) −2622.60 + 954.547i −0.347169 + 0.126359i
\(386\) 1854.10 3211.39i 0.244484 0.423459i
\(387\) 11404.2 + 5664.79i 1.49795 + 0.744076i
\(388\) 1063.52 + 1842.07i 0.139155 + 0.241024i
\(389\) −4414.60 3704.29i −0.575396 0.482815i 0.308035 0.951375i \(-0.400329\pi\)
−0.883432 + 0.468560i \(0.844773\pi\)
\(390\) −5226.66 + 5564.37i −0.678621 + 0.722469i
\(391\) −355.225 2014.58i −0.0459451 0.260567i
\(392\) −834.833 4734.57i −0.107565 0.610031i
\(393\) 3319.87 + 779.124i 0.426120 + 0.100004i
\(394\) 9436.30 + 7918.00i 1.20658 + 1.01244i
\(395\) 1996.18 + 3457.48i 0.254275 + 0.440417i
\(396\) −3915.07 4113.38i −0.496817 0.521982i
\(397\) 849.799 1471.89i 0.107431 0.186076i −0.807298 0.590144i \(-0.799071\pi\)
0.914729 + 0.404068i \(0.132404\pi\)
\(398\) 4658.80 1695.67i 0.586746 0.213558i
\(399\) −76.0301 + 1356.72i −0.00953951 + 0.170229i
\(400\) 268.505 225.303i 0.0335632 0.0281628i
\(401\) −9846.96 3584.00i −1.22627 0.446325i −0.353951 0.935264i \(-0.615162\pi\)
−0.872318 + 0.488939i \(0.837384\pi\)
\(402\) −9585.05 + 1141.68i −1.18920 + 0.141646i
\(403\) −2273.47 + 12893.5i −0.281016 + 1.59372i
\(404\) 179.750 0.0221359
\(405\) −3106.35 + 7378.93i −0.381125 + 0.905339i
\(406\) −885.741 −0.108272
\(407\) 951.379 5395.54i 0.115868 0.657118i
\(408\) −6858.74 + 816.948i −0.832250 + 0.0991298i
\(409\) 1932.14 + 703.243i 0.233590 + 0.0850198i 0.456163 0.889896i \(-0.349223\pi\)
−0.222573 + 0.974916i \(0.571446\pi\)
\(410\) −10385.2 + 8714.24i −1.25095 + 1.04967i
\(411\) 14.3933 256.842i 0.00172742 0.0308250i
\(412\) −1236.36 + 450.000i −0.147843 + 0.0538104i
\(413\) 1235.02 2139.11i 0.147146 0.254864i
\(414\) −595.347 + 2020.87i −0.0706757 + 0.239904i
\(415\) −3102.61 5373.89i −0.366991 0.635647i
\(416\) 4616.39 + 3873.61i 0.544080 + 0.456537i
\(417\) 10128.8 + 2377.08i 1.18947 + 0.279152i
\(418\) 2028.75 + 11505.6i 0.237391 + 1.34631i
\(419\) −455.221 2581.68i −0.0530763 0.301011i 0.946701 0.322114i \(-0.104393\pi\)
−0.999777 + 0.0211029i \(0.993282\pi\)
\(420\) −627.703 + 668.262i −0.0729257 + 0.0776377i
\(421\) −6232.37 5229.58i −0.721490 0.605402i 0.206307 0.978487i \(-0.433855\pi\)
−0.927797 + 0.373086i \(0.878300\pi\)
\(422\) −5516.52 9554.90i −0.636351 1.10219i
\(423\) −5327.73 + 3537.73i −0.612395 + 0.406644i
\(424\) −2911.02 + 5042.04i −0.333424 + 0.577507i
\(425\) 368.941 134.284i 0.0421089 0.0153264i
\(426\) −3072.69 + 1551.62i −0.349465 + 0.176471i
\(427\) −569.616 + 477.965i −0.0645566 + 0.0541694i
\(428\) −3624.13 1319.08i −0.409297 0.148972i
\(429\) 4629.60 10797.8i 0.521024 1.21520i
\(430\) 3069.38 17407.3i 0.344229 1.95222i
\(431\) 10524.6 1.17622 0.588112 0.808780i \(-0.299872\pi\)
0.588112 + 0.808780i \(0.299872\pi\)
\(432\) 10555.4 + 3763.25i 1.17557 + 0.419119i
\(433\) −15556.7 −1.72658 −0.863290 0.504708i \(-0.831600\pi\)
−0.863290 + 0.504708i \(0.831600\pi\)
\(434\) −872.047 + 4945.63i −0.0964507 + 0.546999i
\(435\) 2013.33 + 2692.00i 0.221912 + 0.296716i
\(436\) −30.9879 11.2787i −0.00340379 0.00123888i
\(437\) 1039.57 872.305i 0.113797 0.0954874i
\(438\) 2393.66 + 1566.81i 0.261126 + 0.170925i
\(439\) −13383.2 + 4871.09i −1.45500 + 0.529578i −0.943984 0.329992i \(-0.892954\pi\)
−0.511019 + 0.859570i \(0.670732\pi\)
\(440\) 4705.58 8150.31i 0.509841 0.883070i
\(441\) −5186.45 + 7030.90i −0.560032 + 0.759194i
\(442\) 5984.63 + 10365.7i 0.644027 + 1.11549i
\(443\) 8036.96 + 6743.81i 0.861958 + 0.723269i 0.962389 0.271675i \(-0.0875776\pi\)
−0.100431 + 0.994944i \(0.532022\pi\)
\(444\) −519.980 1723.07i −0.0555791 0.184174i
\(445\) 715.572 + 4058.21i 0.0762278 + 0.432310i
\(446\) −1169.96 6635.17i −0.124213 0.704449i
\(447\) −3982.45 13196.7i −0.421395 1.39638i
\(448\) −385.991 323.885i −0.0407061 0.0341565i
\(449\) −5192.42 8993.54i −0.545759 0.945282i −0.998559 0.0536697i \(-0.982908\pi\)
0.452800 0.891612i \(-0.350425\pi\)
\(450\) −401.811 45.1764i −0.0420923 0.00473252i
\(451\) 10431.6 18068.1i 1.08915 1.88646i
\(452\) 689.425 250.930i 0.0717430 0.0261123i
\(453\) −1823.42 1193.55i −0.189121 0.123792i
\(454\) −4121.35 + 3458.22i −0.426045 + 0.357495i
\(455\) −1782.41 648.744i −0.183650 0.0668430i
\(456\) −2744.34 3669.44i −0.281833 0.376836i
\(457\) 95.1569 539.662i 0.00974016 0.0552392i −0.979550 0.201199i \(-0.935516\pi\)
0.989290 + 0.145960i \(0.0466272\pi\)
\(458\) −22079.2 −2.25260
\(459\) 9668.72 + 8005.03i 0.983218 + 0.814037i
\(460\) 915.628 0.0928074
\(461\) −1906.75 + 10813.7i −0.192638 + 1.09250i 0.723104 + 0.690739i \(0.242715\pi\)
−0.915742 + 0.401766i \(0.868397\pi\)
\(462\) 1775.80 4141.77i 0.178826 0.417083i
\(463\) −9161.48 3334.51i −0.919590 0.334703i −0.161514 0.986870i \(-0.551638\pi\)
−0.758075 + 0.652167i \(0.773860\pi\)
\(464\) 3604.41 3024.46i 0.360626 0.302602i
\(465\) 17013.3 8591.24i 1.69671 0.856794i
\(466\) 8260.82 3006.69i 0.821191 0.298889i
\(467\) −7561.18 + 13096.3i −0.749228 + 1.29770i 0.198965 + 0.980007i \(0.436242\pi\)
−0.948193 + 0.317695i \(0.897091\pi\)
\(468\) −241.332 3851.89i −0.0238367 0.380456i
\(469\) −1199.18 2077.04i −0.118066 0.204496i
\(470\) 6800.58 + 5706.36i 0.667420 + 0.560032i
\(471\) −8809.13 + 9378.32i −0.861790 + 0.917474i
\(472\) 1446.34 + 8202.62i 0.141045 + 0.799907i
\(473\) 4723.56 + 26788.6i 0.459175 + 2.60411i
\(474\) −6275.83 1472.85i −0.608140 0.142722i
\(475\) 199.523 + 167.420i 0.0192731 + 0.0161721i
\(476\) 718.733 + 1244.88i 0.0692082 + 0.119872i
\(477\) 10284.4 2485.21i 0.987189 0.238554i
\(478\) −258.543 + 447.809i −0.0247395 + 0.0428500i
\(479\) 2714.69 988.068i 0.258951 0.0942505i −0.209282 0.977855i \(-0.567113\pi\)
0.468234 + 0.883605i \(0.344891\pi\)
\(480\) 490.854 8759.07i 0.0466756 0.832906i
\(481\) 2852.41 2393.46i 0.270393 0.226886i
\(482\) 18386.0 + 6691.96i 1.73747 + 0.632387i
\(483\) −519.772 + 61.9103i −0.0489657 + 0.00583233i
\(484\) 1263.73 7166.96i 0.118682 0.673080i
\(485\) 6406.15 0.599770
\(486\) −5250.29 11813.1i −0.490037 1.10258i
\(487\) 15221.1 1.41629 0.708146 0.706066i \(-0.249532\pi\)
0.708146 + 0.706066i \(0.249532\pi\)
\(488\) 435.408 2469.32i 0.0403893 0.229059i
\(489\) 13332.6 1588.05i 1.23296 0.146859i
\(490\) 11396.5 + 4147.97i 1.05069 + 0.382421i
\(491\) 2149.42 1803.57i 0.197560 0.165772i −0.538641 0.842535i \(-0.681062\pi\)
0.736201 + 0.676763i \(0.236618\pi\)
\(492\) 383.477 6842.98i 0.0351392 0.627043i
\(493\) 4952.67 1802.62i 0.452448 0.164678i
\(494\) −3970.13 + 6876.47i −0.361588 + 0.626289i
\(495\) −16624.4 + 4017.28i −1.50952 + 0.364774i
\(496\) −13338.7 23103.3i −1.20751 2.09147i
\(497\) −655.171 549.754i −0.0591317 0.0496174i
\(498\) 9754.39 + 2289.21i 0.877720 + 0.205988i
\(499\) 856.549 + 4857.73i 0.0768425 + 0.435795i 0.998821 + 0.0485534i \(0.0154611\pi\)
−0.921978 + 0.387242i \(0.873428\pi\)
\(500\) 899.775 + 5102.88i 0.0804783 + 0.456415i
\(501\) −2256.74 + 2402.56i −0.201245 + 0.214248i
\(502\) −1843.01 1546.47i −0.163860 0.137495i
\(503\) 2185.55 + 3785.49i 0.193735 + 0.335560i 0.946485 0.322747i \(-0.104606\pi\)
−0.752750 + 0.658307i \(0.771273\pi\)
\(504\) 110.518 + 1763.97i 0.00976756 + 0.155900i
\(505\) 270.683 468.836i 0.0238519 0.0413127i
\(506\) −4229.07 + 1539.25i −0.371551 + 0.135234i
\(507\) −3062.94 + 1546.70i −0.268304 + 0.135486i
\(508\) −3460.84 + 2903.99i −0.302264 + 0.253630i
\(509\) −17153.2 6243.24i −1.49372 0.543668i −0.539291 0.842120i \(-0.681308\pi\)
−0.954425 + 0.298452i \(0.903530\pi\)
\(510\) 6866.29 16014.5i 0.596166 1.39046i
\(511\) −123.432 + 700.016i −0.0106855 + 0.0606006i
\(512\) −2785.52 −0.240437
\(513\) −1391.92 + 8209.99i −0.119795 + 0.706589i
\(514\) −2570.05 −0.220545
\(515\) −688.100 + 3902.41i −0.0588763 + 0.333904i
\(516\) 5351.96 + 7156.05i 0.456602 + 0.610519i
\(517\) −12838.0 4672.64i −1.09210 0.397490i
\(518\) 1094.12 918.073i 0.0928045 0.0778722i
\(519\) −7385.71 4834.45i −0.624656 0.408880i
\(520\) 6010.42 2187.61i 0.506874 0.184487i
\(521\) −4209.97 + 7291.88i −0.354016 + 0.613173i −0.986949 0.161033i \(-0.948517\pi\)
0.632933 + 0.774206i \(0.281851\pi\)
\(522\) −5393.90 606.447i −0.452269 0.0508496i
\(523\) −1221.04 2114.91i −0.102089 0.176823i 0.810456 0.585799i \(-0.199219\pi\)
−0.912545 + 0.408976i \(0.865886\pi\)
\(524\) 1833.20 + 1538.23i 0.152831 + 0.128241i
\(525\) −29.0247 96.1798i −0.00241284 0.00799548i
\(526\) 3680.81 + 20874.9i 0.305116 + 1.73040i
\(527\) −5189.03 29428.5i −0.428914 2.43249i
\(528\) 6916.11 + 22918.1i 0.570048 + 1.88898i
\(529\) −8920.01 7484.77i −0.733131 0.615170i
\(530\) −7343.45 12719.2i −0.601848 1.04243i
\(531\) 8985.50 12181.0i 0.734345 0.995498i
\(532\) −476.798 + 825.839i −0.0388568 + 0.0673020i
\(533\) 13324.2 4849.62i 1.08281 0.394110i
\(534\) −5567.16 3644.09i −0.451151 0.295309i
\(535\) −8898.01 + 7466.32i −0.719055 + 0.603359i
\(536\) 7599.72 + 2766.07i 0.612422 + 0.222903i
\(537\) 2018.74 + 2699.23i 0.162225 + 0.216910i
\(538\) −2207.35 + 12518.5i −0.176888 + 1.00318i
\(539\) −18663.9 −1.49149
\(540\) −4280.07 + 3639.74i −0.341083 + 0.290055i
\(541\) −22321.4 −1.77389 −0.886943 0.461879i \(-0.847176\pi\)
−0.886943 + 0.461879i \(0.847176\pi\)
\(542\) −3172.31 + 17991.1i −0.251407 + 1.42580i
\(543\) 7520.86 17541.2i 0.594385 1.38631i
\(544\) −12925.0 4704.33i −1.01867 0.370765i
\(545\) −76.0818 + 63.8402i −0.00597979 + 0.00501764i
\(546\) 2733.91 1380.55i 0.214287 0.108209i
\(547\) 8383.76 3051.44i 0.655327 0.238519i 0.00710936 0.999975i \(-0.497737\pi\)
0.648217 + 0.761455i \(0.275515\pi\)
\(548\) 90.2628 156.340i 0.00703619 0.0121870i
\(549\) −3796.05 + 2520.66i −0.295102 + 0.195955i
\(550\) −431.883 748.044i −0.0334828 0.0579940i
\(551\) 2678.39 + 2247.44i 0.207084 + 0.173764i
\(552\) 1208.46 1286.55i 0.0931804 0.0992011i
\(553\) −278.128 1577.34i −0.0213873 0.121294i
\(554\) −1777.41 10080.2i −0.136308 0.773042i
\(555\) −5277.24 1238.49i −0.403615 0.0947226i
\(556\) 5593.02 + 4693.10i 0.426613 + 0.357971i
\(557\) 268.972 + 465.874i 0.0204609 + 0.0354393i 0.876075 0.482176i \(-0.160153\pi\)
−0.855614 + 0.517615i \(0.826820\pi\)
\(558\) −8696.67 + 29520.3i −0.659784 + 2.23960i
\(559\) −9243.68 + 16010.5i −0.699402 + 1.21140i
\(560\) 3631.88 1321.90i 0.274062 0.0997506i
\(561\) −1500.34 + 26772.9i −0.112913 + 2.01489i
\(562\) 19298.6 16193.4i 1.44851 1.21544i
\(563\) 7272.18 + 2646.86i 0.544380 + 0.198138i 0.599548 0.800339i \(-0.295347\pi\)
−0.0551678 + 0.998477i \(0.517569\pi\)
\(564\) −4456.53 + 530.819i −0.332719 + 0.0396304i
\(565\) 383.701 2176.07i 0.0285706 0.162032i
\(566\) 30011.9 2.22879
\(567\) 2183.55 2355.56i 0.161730 0.174469i
\(568\) 2884.02 0.213047
\(569\) 1384.16 7849.96i 0.101981 0.578361i −0.890403 0.455173i \(-0.849577\pi\)
0.992383 0.123187i \(-0.0393116\pi\)
\(570\) 11478.0 1367.15i 0.843439 0.100462i
\(571\) −7595.75 2764.63i −0.556694 0.202620i 0.0483242 0.998832i \(-0.484612\pi\)
−0.605018 + 0.796212i \(0.706834\pi\)
\(572\) 6315.76 5299.55i 0.461670 0.387387i
\(573\) 502.489 8966.70i 0.0366349 0.653734i
\(574\) 5110.85 1860.20i 0.371642 0.135267i
\(575\) −50.1658 + 86.8898i −0.00363836 + 0.00630183i
\(576\) −2128.81 2236.64i −0.153994 0.161794i
\(577\) 4242.14 + 7347.60i 0.306070 + 0.530130i 0.977499 0.210940i \(-0.0676524\pi\)
−0.671429 + 0.741069i \(0.734319\pi\)
\(578\) −8083.63 6782.97i −0.581721 0.488122i
\(579\) 5496.73 + 1290.00i 0.394536 + 0.0925918i
\(580\) 409.646 + 2323.22i 0.0293269 + 0.166321i
\(581\) 432.288 + 2451.63i 0.0308680 + 0.175061i
\(582\) −7081.83 + 7539.41i −0.504383 + 0.536974i
\(583\) 17314.2 + 14528.4i 1.22999 + 1.03208i
\(584\) −1198.46 2075.80i −0.0849190 0.147084i
\(585\) −10410.2 5171.03i −0.735738 0.365463i
\(586\) 1685.18 2918.82i 0.118796 0.205760i
\(587\) −15549.6 + 5659.60i −1.09336 + 0.397950i −0.824864 0.565331i \(-0.808748\pi\)
−0.268494 + 0.963281i \(0.586526\pi\)
\(588\) −5473.01 + 2763.72i −0.383849 + 0.193833i
\(589\) 15185.8 12742.4i 1.06234 0.891411i
\(590\) −19744.3 7186.33i −1.37773 0.501452i
\(591\) −7390.89 + 17238.0i −0.514417 + 1.19979i
\(592\) −1317.51 + 7471.96i −0.0914684 + 0.518743i
\(593\) 12748.0 0.882796 0.441398 0.897311i \(-0.354483\pi\)
0.441398 + 0.897311i \(0.354483\pi\)
\(594\) 13649.9 24006.3i 0.942864 1.65823i
\(595\) 4329.31 0.298293
\(596\) 1679.79 9526.56i 0.115448 0.654737i
\(597\) 4521.07 + 6045.08i 0.309942 + 0.414420i
\(598\) −2874.22 1046.13i −0.196548 0.0715375i
\(599\) 19070.2 16001.8i 1.30082 1.09151i 0.310812 0.950471i \(-0.399399\pi\)
0.990003 0.141043i \(-0.0450455\pi\)
\(600\) 283.448 + 185.536i 0.0192862 + 0.0126241i
\(601\) 15959.6 5808.80i 1.08320 0.394253i 0.262103 0.965040i \(-0.415584\pi\)
0.821098 + 0.570787i \(0.193362\pi\)
\(602\) −3545.65 + 6141.24i −0.240050 + 0.415778i
\(603\) −5880.55 13469.6i −0.397138 0.909660i
\(604\) −764.685 1324.47i −0.0515142 0.0892253i
\(605\) −16790.3 14088.7i −1.12830 0.946757i
\(606\) 252.542 + 836.852i 0.0169287 + 0.0560970i
\(607\) −549.508 3116.41i −0.0367444 0.208388i 0.960908 0.276867i \(-0.0892963\pi\)
−0.997653 + 0.0684797i \(0.978185\pi\)
\(608\) −1584.47 8985.96i −0.105689 0.599389i
\(609\) −389.627 1291.12i −0.0259253 0.0859092i
\(610\) 4845.46 + 4065.82i 0.321618 + 0.269869i
\(611\) −4642.54 8041.12i −0.307393 0.532421i
\(612\) 3524.53 + 8073.07i 0.232795 + 0.533226i
\(613\) 3473.88 6016.94i 0.228889 0.396447i −0.728590 0.684950i \(-0.759824\pi\)
0.957479 + 0.288503i \(0.0931575\pi\)
\(614\) −5345.24 + 1945.51i −0.351330 + 0.127874i
\(615\) −17270.8 11304.9i −1.13240 0.741233i
\(616\) −2892.30 + 2426.92i −0.189178 + 0.158740i
\(617\) 17959.6 + 6536.76i 1.17184 + 0.426516i 0.853314 0.521398i \(-0.174589\pi\)
0.318528 + 0.947913i \(0.396811\pi\)
\(618\) −3832.07 5123.83i −0.249431 0.333512i
\(619\) −2259.18 + 12812.5i −0.146695 + 0.831948i 0.819296 + 0.573371i \(0.194365\pi\)
−0.965991 + 0.258577i \(0.916746\pi\)
\(620\) 13375.2 0.866391
\(621\) −3207.65 + 21.1393i −0.207276 + 0.00136601i
\(622\) −14551.8 −0.938064
\(623\) 287.077 1628.10i 0.0184615 0.104700i
\(624\) −6411.26 + 14953.2i −0.411308 + 0.959307i
\(625\) 14149.2 + 5149.87i 0.905546 + 0.329592i
\(626\) −4007.25 + 3362.48i −0.255850 + 0.214683i
\(627\) −15879.0 + 8018.44i −1.01140 + 0.510727i
\(628\) −8484.91 + 3088.26i −0.539148 + 0.196234i
\(629\) −4249.38 + 7360.15i −0.269370 + 0.466563i
\(630\) −3993.08 1983.48i −0.252521 0.125435i
\(631\) 12528.8 + 21700.5i 0.790432 + 1.36907i 0.925700 + 0.378259i \(0.123477\pi\)
−0.135268 + 0.990809i \(0.543189\pi\)
\(632\) 4137.38 + 3471.68i 0.260406 + 0.218506i
\(633\) 11501.2 12244.3i 0.722167 0.768829i
\(634\) −4824.04 27358.5i −0.302188 1.71379i
\(635\) 2362.76 + 13399.9i 0.147659 + 0.837413i
\(636\) 7228.56 + 1696.44i 0.450678 + 0.105768i
\(637\) −9717.00 8153.53i −0.604398 0.507150i
\(638\) −5797.60 10041.7i −0.359763 0.623129i
\(639\) −3613.39 3796.42i −0.223699 0.235030i
\(640\) −8896.43 + 15409.1i −0.549472 + 0.951714i
\(641\) −7494.14 + 2727.64i −0.461779 + 0.168074i −0.562425 0.826848i \(-0.690131\pi\)
0.100645 + 0.994922i \(0.467909\pi\)
\(642\) 1049.39 18725.9i 0.0645110 1.15117i
\(643\) 9127.99 7659.30i 0.559834 0.469756i −0.318421 0.947949i \(-0.603153\pi\)
0.878255 + 0.478193i \(0.158708\pi\)
\(644\) −345.184 125.637i −0.0211213 0.00768754i
\(645\) 26724.3 3183.14i 1.63142 0.194320i
\(646\) 3147.04 17847.7i 0.191670 1.08701i
\(647\) 3355.80 0.203911 0.101955 0.994789i \(-0.467490\pi\)
0.101955 + 0.994789i \(0.467490\pi\)
\(648\) −534.729 + 10817.7i −0.0324169 + 0.655802i
\(649\) 32335.1 1.95572
\(650\) 101.939 578.127i 0.00615137 0.0348862i
\(651\) −7592.68 + 904.369i −0.457113 + 0.0544470i
\(652\) 8854.23 + 3222.68i 0.531838 + 0.193573i
\(653\) −21581.7 + 18109.2i −1.29335 + 1.08525i −0.302099 + 0.953276i \(0.597687\pi\)
−0.991253 + 0.131975i \(0.957868\pi\)
\(654\) 8.97273 160.114i 0.000536485 0.00957335i
\(655\) 6772.69 2465.06i 0.404017 0.147050i
\(656\) −14446.1 + 25021.4i −0.859795 + 1.48921i
\(657\) −1230.95 + 4178.38i −0.0730956 + 0.248119i
\(658\) −1780.77 3084.38i −0.105504 0.182738i
\(659\) 8301.78 + 6966.02i 0.490731 + 0.411772i 0.854288 0.519800i \(-0.173993\pi\)
−0.363557 + 0.931572i \(0.618438\pi\)
\(660\) −11684.8 2742.24i −0.689134 0.161730i
\(661\) 4367.00 + 24766.5i 0.256969 + 1.45734i 0.790967 + 0.611859i \(0.209578\pi\)
−0.533998 + 0.845486i \(0.679311\pi\)
\(662\) 1611.78 + 9140.88i 0.0946280 + 0.536662i
\(663\) −12477.2 + 13283.4i −0.730879 + 0.778104i
\(664\) −6430.65 5395.95i −0.375840 0.315367i
\(665\) 1436.00 + 2487.23i 0.0837381 + 0.145039i
\(666\) 7291.43 4841.67i 0.424230 0.281698i
\(667\) −673.426 + 1166.41i −0.0390932 + 0.0677114i
\(668\) −2173.68 + 791.156i −0.125902 + 0.0458245i
\(669\) 9157.22 4624.15i 0.529206 0.267234i
\(670\) −15628.6 + 13114.0i −0.901173 + 0.756174i
\(671\) −9147.14 3329.29i −0.526261 0.191544i
\(672\) −1386.91 + 3234.74i −0.0796149 + 0.185689i
\(673\) 1649.09 9352.46i 0.0944544 0.535677i −0.900459 0.434941i \(-0.856769\pi\)
0.994913 0.100736i \(-0.0321198\pi\)
\(674\) 23360.8 1.33505
\(675\) −110.900 605.579i −0.00632375 0.0345315i
\(676\) −2407.98 −0.137004
\(677\) 628.074 3561.98i 0.0356556 0.202213i −0.961776 0.273837i \(-0.911707\pi\)
0.997432 + 0.0716241i \(0.0228182\pi\)
\(678\) 2136.85 + 2857.17i 0.121040 + 0.161842i
\(679\) −2415.06 879.010i −0.136497 0.0496809i
\(680\) −11183.3 + 9383.91i −0.630677 + 0.529201i
\(681\) −6853.88 4486.33i −0.385670 0.252447i
\(682\) −61777.0 + 22485.0i −3.46857 + 1.26246i
\(683\) 1790.30 3100.89i 0.100298 0.173722i −0.811509 0.584340i \(-0.801354\pi\)
0.911808 + 0.410618i \(0.134687\pi\)
\(684\) −3468.99 + 4702.66i −0.193919 + 0.262881i
\(685\) −271.850 470.858i −0.0151633 0.0262636i
\(686\) −7678.01 6442.61i −0.427329 0.358572i
\(687\) −9712.36 32184.1i −0.539374 1.78733i
\(688\) −6541.38 37098.0i −0.362482 2.05574i
\(689\) 2667.44 + 15127.8i 0.147491 + 0.836464i
\(690\) 1286.42 + 4262.83i 0.0709755 + 0.235193i
\(691\) −12524.6 10509.4i −0.689521 0.578577i 0.229250 0.973368i \(-0.426373\pi\)
−0.918771 + 0.394791i \(0.870817\pi\)
\(692\) −3097.34 5364.74i −0.170149 0.294706i
\(693\) 6818.47 + 766.614i 0.373755 + 0.0420220i
\(694\) 16557.1 28677.7i 0.905616 1.56857i
\(695\) 20663.3 7520.81i 1.12777 0.410476i
\(696\) 3805.00 + 2490.63i 0.207225 + 0.135643i
\(697\) −24791.8 + 20802.8i −1.34728 + 1.13050i
\(698\) −881.105 320.696i −0.0477798 0.0173904i
\(699\) 8016.59 + 10718.9i 0.433785 + 0.580009i
\(700\) 12.2426 69.4310i 0.000661036 0.00374892i
\(701\) 11210.5 0.604015 0.302007 0.953306i \(-0.402343\pi\)
0.302007 + 0.953306i \(0.402343\pi\)
\(702\) 17593.9 6535.29i 0.945926 0.351366i
\(703\) −5637.97 −0.302475
\(704\) 1145.42 6495.99i 0.0613205 0.347766i
\(705\) −5326.48 + 12423.1i −0.284549 + 0.663663i
\(706\) 5562.07 + 2024.43i 0.296503 + 0.107918i
\(707\) −166.376 + 139.606i −0.00885035 + 0.00742633i
\(708\) 9481.96 4788.13i 0.503325 0.254165i
\(709\) −7665.10 + 2789.87i −0.406021 + 0.147780i −0.536954 0.843612i \(-0.680425\pi\)
0.130933 + 0.991391i \(0.458203\pi\)
\(710\) −3637.67 + 6300.63i −0.192281 + 0.333040i
\(711\) −613.746 9795.96i −0.0323731 0.516705i
\(712\) 2787.38 + 4827.88i 0.146716 + 0.254119i
\(713\) 5849.74 + 4908.52i 0.307257 + 0.257820i
\(714\) −4785.93 + 5095.17i −0.250853 + 0.267061i
\(715\) −4311.84 24453.7i −0.225530 1.27904i
\(716\) 410.747 + 2329.46i 0.0214390 + 0.121587i
\(717\) −766.487 179.883i −0.0399233 0.00936941i
\(718\) 11192.5 + 9391.64i 0.581757 + 0.488152i
\(719\) −12784.1 22142.8i −0.663099 1.14852i −0.979797 0.199994i \(-0.935908\pi\)
0.316698 0.948526i \(-0.397426\pi\)
\(720\) 23022.1 5563.29i 1.19165 0.287961i
\(721\) 794.870 1376.76i 0.0410576 0.0711138i
\(722\) −10698.5 + 3893.92i −0.551462 + 0.200716i
\(723\) −1666.86 + 29744.4i −0.0857417 + 1.53002i
\(724\) 10260.1 8609.21i 0.526674 0.441932i
\(725\) −242.909 88.4116i −0.0124433 0.00452900i
\(726\) 35142.2 4185.81i 1.79649 0.213981i
\(727\) −2814.98 + 15964.5i −0.143606 + 0.814431i 0.824869 + 0.565323i \(0.191249\pi\)
−0.968476 + 0.249108i \(0.919863\pi\)
\(728\) −2566.04 −0.130637
\(729\) 14910.0 12849.6i 0.757506 0.652828i
\(730\) 6046.57 0.306566
\(731\) 7327.27 41555.0i 0.370737 2.10255i
\(732\) −3175.31 + 378.212i −0.160331 + 0.0190972i
\(733\) 21666.3 + 7885.89i 1.09176 + 0.397370i 0.824274 0.566191i \(-0.191584\pi\)
0.267490 + 0.963561i \(0.413806\pi\)
\(734\) −10589.9 + 8886.00i −0.532536 + 0.446850i
\(735\) −1033.19 + 18436.9i −0.0518502 + 0.925245i
\(736\) 3302.92 1202.16i 0.165417 0.0602070i
\(737\) 15698.4 27190.4i 0.784611 1.35899i
\(738\) 32397.2 7828.76i 1.61593 0.390489i
\(739\) −9222.49 15973.8i −0.459073 0.795137i 0.539840 0.841768i \(-0.318485\pi\)
−0.998912 + 0.0466309i \(0.985152\pi\)
\(740\) −2914.04 2445.17i −0.144760 0.121468i
\(741\) −11770.0 2762.25i −0.583512 0.136942i
\(742\) 1023.16 + 5802.66i 0.0506221 + 0.287092i
\(743\) 1949.80 + 11057.8i 0.0962733 + 0.545993i 0.994350 + 0.106154i \(0.0338536\pi\)
−0.898076 + 0.439839i \(0.855035\pi\)
\(744\) 17652.9 18793.5i 0.869874 0.926080i
\(745\) −22318.2 18727.2i −1.09755 0.920955i
\(746\) 23727.3 + 41096.9i 1.16450 + 2.01698i
\(747\) 953.931 + 15225.7i 0.0467236 + 0.745753i
\(748\) −9408.90 + 16296.7i −0.459925 + 0.796613i
\(749\) 4378.95 1593.81i 0.213623 0.0777523i
\(750\) −22493.0 + 11358.4i −1.09510 + 0.552998i
\(751\) −21160.1 + 17755.5i −1.02815 + 0.862724i −0.990630 0.136571i \(-0.956392\pi\)
−0.0375245 + 0.999296i \(0.511947\pi\)
\(752\) 17778.5 + 6470.86i 0.862124 + 0.313787i
\(753\) 1443.52 3366.77i 0.0698603 0.162938i
\(754\) 1368.43 7760.77i 0.0660947 0.374842i
\(755\) −4606.10 −0.222031
\(756\) 2112.97 784.866i 0.101651 0.0377583i
\(757\) −1558.81 −0.0748425 −0.0374213 0.999300i \(-0.511914\pi\)
−0.0374213 + 0.999300i \(0.511914\pi\)
\(758\) −3251.67 + 18441.1i −0.155813 + 0.883657i
\(759\) −4104.04 5487.47i −0.196268 0.262428i
\(760\) −9100.58 3312.34i −0.434359 0.158094i
\(761\) −10724.9 +