Properties

Label 27.4.e.a.13.2
Level 27
Weight 4
Character 27.13
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

Related objects

Downloads

Learn more about

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 13.2
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.2

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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 −0.890169 0.455631i \(-0.849414\pi\)
0.680650 0.732608i \(-0.261697\pi\)
\(3\) −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 0.183679 0.982986i \(-0.441199\pi\)
−0.936157 + 0.351582i \(0.885644\pi\)
\(6\) 0.992184 + 17.7051i 0.0675096 + 1.20468i
\(7\) 4.14024 + 1.50692i 0.223552 + 0.0813663i 0.451368 0.892338i \(-0.350936\pi\)
−0.227816 + 0.973704i \(0.573158\pi\)
\(8\) −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 0.211846 0.977303i \(-0.432052\pi\)
0.999242 0.0389212i \(-0.0123921\pi\)
\(12\) 18.4465 4.32912i 0.443754 0.104143i
\(13\) 6.80702 38.6045i 0.145225 0.823613i −0.821961 0.569544i \(-0.807120\pi\)
0.967186 0.254069i \(-0.0817690\pi\)
\(14\) 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 0.347585 + 0.937648i \(0.387002\pi\)
−0.985820 + 0.167806i \(0.946332\pi\)
\(18\) 5.76171 91.9624i 0.0754471 1.20421i
\(19\) 29.6770 + 51.4022i 0.358336 + 0.620656i 0.987683 0.156468i \(-0.0500109\pi\)
−0.629347 + 0.777124i \(0.716678\pi\)
\(20\) 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 −0.242788 0.970079i \(-0.578062\pi\)
0.437568 + 0.899185i \(0.355840\pi\)
\(24\) 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 −0.999884 0.0152033i \(-0.995160\pi\)
0.934384 0.356267i \(-0.115951\pi\)
\(30\) 116.639 155.956i 0.709840 0.949121i
\(31\) 313.847 114.231i 1.81834 0.661823i 0.822711 0.568460i \(-0.192461\pi\)
0.995632 0.0933628i \(-0.0297616\pi\)
\(32\) 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 −0.952036 0.305985i \(-0.901014\pi\)
0.741009 + 0.671495i \(0.234348\pi\)
\(38\) 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 0.594204 + 0.804314i \(0.297467\pi\)
−0.833461 + 0.552578i \(0.813644\pi\)
\(42\) −22.5724 + 74.7986i −0.0829284 + 0.274802i
\(43\) 361.279 303.149i 1.28127 1.07511i 0.288198 0.957571i \(-0.406944\pi\)
0.993068 0.117540i \(-0.0375007\pi\)
\(44\) −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 −0.0273097 0.999627i \(-0.508694\pi\)
−0.663468 + 0.748204i \(0.730916\pi\)
\(48\) 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 0.978897 0.204354i \(-0.0655094\pi\)
−0.0312660 + 0.999511i \(0.509954\pi\)
\(60\) −185.750 93.7988i −0.399671 0.201823i
\(61\) −158.589 57.7218i −0.332874 0.121156i 0.170176 0.985414i \(-0.445566\pi\)
−0.503050 + 0.864258i \(0.667789\pi\)
\(62\) −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 0.768791 + 0.639501i \(0.220859\pi\)
−0.941149 + 0.337992i \(0.890252\pi\)
\(68\) 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 −0.935670 0.352877i \(-0.885203\pi\)
0.773435 + 0.633875i \(0.218537\pi\)
\(72\) −113.360 384.794i −0.185550 0.629840i
\(73\) −80.6653 139.716i −0.129331 0.224008i 0.794087 0.607805i \(-0.207950\pi\)
−0.923418 + 0.383797i \(0.874616\pi\)
\(74\) 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 0.996191 + 0.0871971i \(0.0277910\pi\)
−0.906290 + 0.422656i \(0.861098\pi\)
\(80\) 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 −0.978371 0.206858i \(-0.933676\pi\)
0.848618 0.529006i \(-0.177435\pi\)
\(84\) 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 0.955852 0.293848i \(-0.0949359\pi\)
−0.732406 + 0.680868i \(0.761603\pi\)
\(90\) −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 −0.845967 0.533235i \(-0.820976\pi\)
0.378233 + 0.925710i \(0.376532\pi\)
\(98\) −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 0.319102 0.947720i \(-0.396619\pi\)
−0.364737 + 0.931111i \(0.618841\pi\)
\(102\) −1416.26 715.170i −1.37481 0.694239i
\(103\) 276.401 + 231.928i 0.264414 + 0.221870i 0.765349 0.643615i \(-0.222566\pi\)
−0.500935 + 0.865485i \(0.667011\pi\)
\(104\) −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 0.576374 0.817186i \(-0.304467\pi\)
−0.704685 + 0.709520i \(0.748912\pi\)
\(114\) −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 0.997116 0.0758949i \(-0.0241813\pi\)
−0.564285 + 0.825580i \(0.690848\pi\)
\(128\) 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 −0.539380 0.842063i \(-0.681341\pi\)
0.128079 + 0.991764i \(0.459119\pi\)
\(132\) 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 0.982010 0.188830i \(-0.0604694\pi\)
−0.987371 + 0.158425i \(0.949358\pi\)
\(138\) 159.769 + 372.636i 0.0985542 + 0.229861i
\(139\) −1881.50 + 684.810i −1.14811 + 0.417876i −0.844834 0.535028i \(-0.820301\pi\)
−0.303271 + 0.952904i \(0.598079\pi\)
\(140\) 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 −0.547169 0.837022i \(-0.684294\pi\)
0.800449 0.599401i \(-0.204594\pi\)
\(150\) 75.7574 17.7792i 0.0412371 0.00967775i
\(151\) 321.286 269.591i 0.173152 0.145292i −0.552093 0.833782i \(-0.686171\pi\)
0.725245 + 0.688491i \(0.241726\pi\)
\(152\) 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 0.981640 0.190743i \(-0.0610897\pi\)
−0.0173851 + 0.999849i \(0.505534\pi\)
\(158\) 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 0.748394 0.663255i \(-0.230825\pi\)
−0.523221 + 0.852197i \(0.675270\pi\)
\(168\) 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 −0.310368 0.950616i \(-0.600452\pi\)
0.882280 + 0.470726i \(0.156008\pi\)
\(174\) 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 −0.925762 0.378106i \(-0.876575\pi\)
0.790331 + 0.612681i \(0.209909\pi\)
\(180\) 900.766 + 598.129i 0.372995 + 0.247677i
\(181\) −1836.50 3180.92i −0.754178 1.30627i −0.945782 0.324802i \(-0.894702\pi\)
0.191605 0.981472i \(-0.438631\pi\)
\(182\) −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 −0.987387 0.158327i \(-0.949390\pi\)
0.873689 0.486485i \(-0.161721\pi\)
\(192\) 355.904 475.876i 0.133777 0.178872i
\(193\) −1021.06 + 371.635i −0.380815 + 0.138605i −0.525333 0.850897i \(-0.676059\pi\)
0.144518 + 0.989502i \(0.453837\pi\)
\(194\) 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 0.982462 + 0.186461i \(0.0597019\pi\)
−0.329751 + 0.944068i \(0.606965\pi\)
\(198\) −3154.91 4276.88i −1.13237 1.53507i
\(199\) −726.376 + 1258.12i −0.258751 + 0.448169i −0.965908 0.258887i \(-0.916644\pi\)
0.707157 + 0.707057i \(0.249977\pi\)
\(200\) −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 0.142106 0.989851i \(-0.454613\pi\)
−0.950137 + 0.311833i \(0.899057\pi\)
\(212\) −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 0.0480993 0.998843i \(-0.484684\pi\)
−0.605197 + 0.796075i \(0.706906\pi\)
\(224\) 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 −0.448931 0.893567i \(-0.648195\pi\)
0.802035 + 0.597277i \(0.203751\pi\)
\(228\) 769.964 + 819.714i 0.223650 + 0.238100i
\(229\) 1123.45 6371.42i 0.324192 1.83858i −0.191103 0.981570i \(-0.561206\pi\)
0.515295 0.857013i \(-0.327682\pi\)
\(230\) −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 −0.988313 0.152440i \(-0.951287\pi\)
0.626173 + 0.779684i \(0.284620\pi\)
\(234\) −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 −0.322681 0.946508i \(-0.604584\pi\)
0.361216 + 0.932482i \(0.382362\pi\)
\(240\) −4526.15 539.112i −1.21734 0.144998i
\(241\) 995.577 + 5646.20i 0.266103 + 1.50914i 0.765877 + 0.642987i \(0.222305\pi\)
−0.499774 + 0.866156i \(0.666584\pi\)
\(242\) −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 0.818296 0.574797i \(-0.194919\pi\)
−0.906937 + 0.421266i \(0.861586\pi\)
\(252\) −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 −0.964816 0.262926i \(-0.915312\pi\)
0.996556 + 0.0829166i \(0.0264235\pi\)
\(258\) 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 0.918656 0.395059i \(-0.129276\pi\)
0.449792 + 0.893133i \(0.351498\pi\)
\(264\) 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 0.0177478 0.999842i \(-0.494350\pi\)
−0.629091 + 0.777332i \(0.716573\pi\)
\(278\) 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 −0.200903 + 0.979611i \(0.564387\pi\)
−0.999615 + 0.0277427i \(0.991168\pi\)
\(282\) 1213.49 4021.17i 0.256250 0.849140i
\(283\) −1527.10 + 8660.59i −0.320765 + 1.81915i 0.217138 + 0.976141i \(0.430328\pi\)
−0.537903 + 0.843007i \(0.680783\pi\)
\(284\) 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 −0.432878 0.901452i \(-0.642502\pi\)
0.247839 + 0.968801i \(0.420280\pi\)
\(294\) 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 −0.778101 0.628139i \(-0.783817\pi\)
0.933035 + 0.359786i \(0.117150\pi\)
\(308\) −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 −0.839851 0.542817i \(-0.817358\pi\)
0.974856 0.222835i \(-0.0715312\pi\)
\(312\) 2946.21 691.433i 0.534604 0.125464i
\(313\) 1174.22 985.287i 0.212047 0.177929i −0.530578 0.847636i \(-0.678025\pi\)
0.742625 + 0.669708i \(0.233581\pi\)
\(314\) 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 −0.440712 0.897649i \(-0.645274\pi\)
−0.914602 + 0.404354i \(0.867496\pi\)
\(318\) 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 0.545389 0.838183i \(-0.316382\pi\)
−0.120982 + 0.992655i \(0.538604\pi\)
\(332\) 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 0.724295 + 0.689490i \(0.242165\pi\)
−0.916434 + 0.400185i \(0.868946\pi\)
\(338\) 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 −0.931309 0.364229i \(-0.881333\pi\)
−0.479302 + 0.877650i \(0.659110\pi\)
\(348\) −439.835 1025.84i −0.0677518 0.158020i
\(349\) −47.7106 270.580i −0.00731773 0.0415009i 0.980930 0.194360i \(-0.0622630\pi\)
−0.988248 + 0.152859i \(0.951152\pi\)
\(350\) −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 0.999058 0.0433879i \(-0.0138151\pi\)
−0.953647 + 0.300927i \(0.902704\pi\)
\(354\) −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 0.979375 0.202051i \(-0.0647608\pi\)
−0.664669 + 0.747138i \(0.731427\pi\)
\(360\) −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 −0.394856 0.918743i \(-0.629206\pi\)
0.836219 + 0.548395i \(0.184761\pi\)
\(368\) −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 0.907587 + 0.419863i \(0.137922\pi\)
0.571085 + 0.820891i \(0.306523\pi\)
\(374\) 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 0.973264 0.229691i \(-0.0737714\pi\)
−0.0571957 + 0.998363i \(0.518216\pi\)
\(384\) −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 −0.883432 0.468560i \(-0.844773\pi\)
0.308035 + 0.951375i \(0.400329\pi\)
\(390\) −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 0.914729 0.404068i \(-0.132404\pi\)
−0.807298 + 0.590144i \(0.799071\pi\)
\(398\) 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 −0.872318 0.488939i \(-0.837384\pi\)
−0.353951 + 0.935264i \(0.615162\pi\)
\(402\) −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 −0.222573 0.974916i \(-0.571446\pi\)
0.456163 + 0.889896i \(0.349223\pi\)
\(410\) −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 −0.999777 0.0211029i \(-0.993282\pi\)
0.946701 + 0.322114i \(0.104393\pi\)
\(420\) −627.703 668.262i −0.0729257 0.0776377i
\(421\) −6232.37 + 5229.58i −0.721490 + 0.605402i −0.927797 0.373086i \(-0.878300\pi\)
0.206307 + 0.978487i \(0.433855\pi\)
\(422\) −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 −0.511019 0.859570i \(-0.670732\pi\)
−0.943984 + 0.329992i \(0.892954\pi\)
\(440\) 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 −0.100431 0.994944i \(-0.532022\pi\)
0.962389 + 0.271675i \(0.0875776\pi\)
\(444\) −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 0.452800 + 0.891612i \(0.350425\pi\)
−0.998559 + 0.0536697i \(0.982908\pi\)
\(450\) −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 0.989290 0.145960i \(-0.0466272\pi\)
−0.979550 + 0.201199i \(0.935516\pi\)
\(458\) −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 −0.915742 0.401766i \(-0.868397\pi\)
0.723104 0.690739i \(-0.242715\pi\)
\(462\) 1775.80 + 4141.77i 0.178826 + 0.417083i
\(463\) −9161.48 + 3334.51i −0.919590 + 0.334703i −0.758075 0.652167i \(-0.773860\pi\)
−0.161514 + 0.986870i \(0.551638\pi\)
\(464\) 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 −0.948193 0.317695i \(-0.897091\pi\)
0.198965 0.980007i \(-0.436242\pi\)
\(468\) −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 0.468234 0.883605i \(-0.344891\pi\)
−0.209282 + 0.977855i \(0.567113\pi\)
\(480\) 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 0.736201 0.676763i \(-0.236618\pi\)
−0.538641 + 0.842535i \(0.681062\pi\)
\(492\) 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 −0.921978 0.387242i \(-0.873428\pi\)
0.998821 0.0485534i \(-0.0154611\pi\)
\(500\) 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 −0.752750 0.658307i \(-0.771273\pi\)
0.946485 + 0.322747i \(0.104606\pi\)
\(504\) 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 −0.954425 0.298452i \(-0.903530\pi\)
−0.539291 + 0.842120i \(0.681308\pi\)
\(510\) 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 0.632933 0.774206i \(-0.281851\pi\)
−0.986949 + 0.161033i \(0.948517\pi\)
\(522\) −5393.90 + 606.447i −0.452269 + 0.0508496i
\(523\) −1221.04 + 2114.91i −0.102089 + 0.176823i −0.912545 0.408976i \(-0.865886\pi\)
0.810456 + 0.585799i \(0.199219\pi\)
\(524\) 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 0.648217 0.761455i \(-0.275515\pi\)
0.00710936 + 0.999975i \(0.497737\pi\)
\(548\) 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 −0.855614 0.517615i \(-0.826820\pi\)
0.876075 + 0.482176i \(0.160153\pi\)
\(558\) −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 −0.0551678 0.998477i \(-0.517569\pi\)
0.599548 + 0.800339i \(0.295347\pi\)
\(564\) −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 0.992383 + 0.123187i \(0.0393116\pi\)
−0.890403 + 0.455173i \(0.849577\pi\)
\(570\) 11478.0 + 1367.15i 0.843439 + 0.100462i
\(571\) −7595.75 + 2764.63i −0.556694 + 0.202620i −0.605018 0.796212i \(-0.706834\pi\)
0.0483242 + 0.998832i \(0.484612\pi\)
\(572\) 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 −0.671429 0.741069i \(-0.734319\pi\)
0.977499 + 0.210940i \(0.0676524\pi\)
\(578\) −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 −0.268494 0.963281i \(-0.586526\pi\)
−0.824864 + 0.565331i \(0.808748\pi\)
\(588\) −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 0.990003 + 0.141043i \(0.0450455\pi\)
0.310812 + 0.950471i \(0.399399\pi\)
\(600\) 283.448 185.536i 0.0192862 0.0126241i
\(601\) 15959.6 + 5808.80i 1.08320 + 0.394253i 0.821098 0.570787i \(-0.193362\pi\)
0.262103 + 0.965040i \(0.415584\pi\)
\(602\) −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 −0.997653 0.0684797i \(-0.978185\pi\)
0.960908 + 0.276867i \(0.0892963\pi\)
\(608\) −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 0.957479 0.288503i \(-0.0931575\pi\)
−0.728590 + 0.684950i \(0.759824\pi\)
\(614\) −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 0.318528 0.947913i \(-0.396811\pi\)
0.853314 + 0.521398i \(0.174589\pi\)
\(618\) −3832.07 + 5123.83i −0.249431 + 0.333512i
\(619\) −2259.18 12812.5i −0.146695 0.831948i −0.965991 0.258577i \(-0.916746\pi\)
0.819296 0.573371i \(-0.194365\pi\)
\(620\) 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 −0.135268 0.990809i \(-0.543189\pi\)
0.925700 0.378259i \(-0.123477\pi\)
\(632\) 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 0.100645 0.994922i \(-0.467909\pi\)
−0.562425 + 0.826848i \(0.690131\pi\)
\(642\) 1049.39 + 18725.9i 0.0645110 + 1.15117i
\(643\) 9127.99 + 7659.30i 0.559834 + 0.469756i 0.878255 0.478193i \(-0.158708\pi\)
−0.318421 + 0.947949i \(0.603153\pi\)
\(644\) −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 −0.991253 0.131975i \(-0.957868\pi\)
−0.302099 0.953276i \(-0.597687\pi\)
\(654\) 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 −0.363557 0.931572i \(-0.618438\pi\)
0.854288 + 0.519800i \(0.173993\pi\)
\(660\) −11684.8 + 2742.24i −0.689134 + 0.161730i
\(661\) 4367.00 24766.5i 0.256969 1.45734i −0.533998 0.845486i \(-0.679311\pi\)
0.790967 0.611859i \(-0.209578\pi\)
\(662\) 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 0.994913 + 0.100736i \(0.0321198\pi\)
−0.900459 + 0.434941i \(0.856769\pi\)
\(674\) 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 0.997432 0.0716241i \(-0.0228182\pi\)
−0.961776 + 0.273837i \(0.911707\pi\)
\(678\) 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 0.911808 0.410618i \(-0.134687\pi\)
−0.811509 + 0.584340i \(0.801354\pi\)
\(684\) −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 −0.918771 0.394791i \(-0.870817\pi\)
0.229250 + 0.973368i \(0.426373\pi\)
\(692\) −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 0.130933 0.991391i \(-0.458203\pi\)
−0.536954 + 0.843612i \(0.680425\pi\)
\(710\) −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 0.316698 + 0.948526i \(0.397426\pi\)
−0.979797 + 0.199994i \(0.935908\pi\)
\(720\) 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 −0.968476 0.249108i \(-0.919863\pi\)
0.824869 0.565323i \(-0.191249\pi\)
\(728\) −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 0.267490 0.963561i \(-0.413806\pi\)
0.824274 + 0.566191i \(0.191584\pi\)
\(734\) −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 −0.998912 0.0466309i \(-0.985152\pi\)
0.539840 + 0.841768i \(0.318485\pi\)
\(740\) −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 −0.898076 0.439839i \(-0.855035\pi\)
0.994350 0.106154i \(-0.0338536\pi\)
\(744\) 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 −0.0375245 0.999296i \(-0.511947\pi\)
−0.990630 + 0.136571i \(0.956392\pi\)
\(752\) 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 8999.23i