Properties

Label 108.4.l.a.59.9
Level 108
Weight 4
Character 108.59
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 108 = 2^{2} \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 108.l (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.37220628062\)
Analytic rank: \(0\)
Dimension: \(312\)
Relative dimension: \(52\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 59.9
Character \(\chi\) \(=\) 108.59
Dual form 108.4.l.a.11.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.60460 + 1.10274i) q^{2} +(2.16828 - 4.72213i) q^{3} +(5.56791 - 5.74442i) q^{4} +(-0.836765 - 2.29899i) q^{5} +(-0.440216 + 14.6903i) q^{6} +(22.6981 - 4.00229i) q^{7} +(-8.16758 + 21.1019i) q^{8} +(-17.5971 - 20.4779i) q^{9} +O(q^{10})\) \(q+(-2.60460 + 1.10274i) q^{2} +(2.16828 - 4.72213i) q^{3} +(5.56791 - 5.74442i) q^{4} +(-0.836765 - 2.29899i) q^{5} +(-0.440216 + 14.6903i) q^{6} +(22.6981 - 4.00229i) q^{7} +(-8.16758 + 21.1019i) q^{8} +(-17.5971 - 20.4779i) q^{9} +(4.71464 + 5.06522i) q^{10} +(2.30985 + 0.840718i) q^{11} +(-15.0531 - 38.7480i) q^{12} +(-22.0818 - 18.5288i) q^{13} +(-54.7060 + 35.4545i) q^{14} +(-12.6705 - 1.03355i) q^{15} +(-1.99669 - 63.9688i) q^{16} +(-42.9739 - 24.8110i) q^{17} +(68.4153 + 33.9316i) q^{18} +(53.4555 - 30.8625i) q^{19} +(-17.8654 - 7.99386i) q^{20} +(30.3166 - 115.862i) q^{21} +(-6.94335 + 0.357440i) q^{22} +(18.5100 - 104.975i) q^{23} +(81.9364 + 84.3233i) q^{24} +(91.1704 - 76.5010i) q^{25} +(77.9468 + 23.9097i) q^{26} +(-134.855 + 38.6940i) q^{27} +(103.390 - 152.672i) q^{28} +(-13.7345 - 16.3682i) q^{29} +(34.1413 - 11.2803i) q^{30} +(-119.672 - 21.1014i) q^{31} +(75.7418 + 164.412i) q^{32} +(8.97840 - 9.08452i) q^{33} +(139.290 + 17.2336i) q^{34} +(-28.1942 - 48.8338i) q^{35} +(-215.612 - 12.9339i) q^{36} +(146.742 - 254.165i) q^{37} +(-105.197 + 139.332i) q^{38} +(-135.375 + 64.0974i) q^{39} +(55.3475 + 1.11987i) q^{40} +(-230.454 + 274.644i) q^{41} +(48.8029 + 335.205i) q^{42} +(-101.863 + 279.866i) q^{43} +(17.6905 - 8.58772i) q^{44} +(-32.3538 + 57.5907i) q^{45} +(67.5497 + 293.831i) q^{46} +(85.6590 + 485.796i) q^{47} +(-306.399 - 129.274i) q^{48} +(176.871 - 64.3756i) q^{49} +(-153.102 + 299.792i) q^{50} +(-210.340 + 149.131i) q^{51} +(-229.387 + 23.6802i) q^{52} -262.882i q^{53} +(308.573 - 249.493i) q^{54} -6.01382i q^{55} +(-100.933 + 511.662i) q^{56} +(-29.8303 - 319.342i) q^{57} +(53.8229 + 27.4869i) q^{58} +(811.981 - 295.537i) q^{59} +(-76.4853 + 67.0299i) q^{60} +(64.4814 + 365.692i) q^{61} +(334.968 - 77.0069i) q^{62} +(-481.379 - 394.380i) q^{63} +(-378.581 - 344.703i) q^{64} +(-24.1203 + 66.2701i) q^{65} +(-13.3673 + 33.5624i) q^{66} +(99.5849 - 118.681i) q^{67} +(-381.799 + 108.715i) q^{68} +(-455.572 - 315.023i) q^{69} +(127.286 + 96.1016i) q^{70} +(224.567 - 388.961i) q^{71} +(575.847 - 204.078i) q^{72} +(393.313 + 681.239i) q^{73} +(-101.926 + 823.818i) q^{74} +(-163.565 - 596.395i) q^{75} +(120.348 - 478.910i) q^{76} +(55.7941 + 9.83800i) q^{77} +(281.915 - 316.232i) q^{78} +(624.862 + 744.681i) q^{79} +(-145.393 + 58.1172i) q^{80} +(-109.685 + 720.701i) q^{81} +(297.378 - 969.469i) q^{82} +(268.642 - 225.417i) q^{83} +(-496.757 - 819.258i) q^{84} +(-21.0812 + 119.558i) q^{85} +(-43.3081 - 841.269i) q^{86} +(-107.073 + 29.3654i) q^{87} +(-36.6067 + 41.8757i) q^{88} +(852.625 - 492.263i) q^{89} +(20.7610 - 185.679i) q^{90} +(-575.372 - 332.191i) q^{91} +(-499.960 - 690.822i) q^{92} +(-359.127 + 519.354i) q^{93} +(-758.816 - 1170.85i) q^{94} +(-115.682 - 97.0690i) q^{95} +(940.603 - 1.17197i) q^{96} +(1080.17 + 393.151i) q^{97} +(-389.688 + 362.716i) q^{98} +(-23.4306 - 62.0950i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} + O(q^{10}) \) \( 312q - 6q^{2} - 6q^{4} - 12q^{5} - 6q^{6} - 9q^{8} - 12q^{9} - 3q^{10} - 123q^{12} - 12q^{13} + 69q^{14} - 6q^{16} - 18q^{17} + 351q^{18} + 225q^{20} - 12q^{21} - 6q^{22} - 300q^{24} - 12q^{25} - 12q^{28} - 96q^{29} - 207q^{30} - 696q^{32} + 858q^{33} - 30q^{34} - 1056q^{36} - 6q^{37} - 900q^{38} - 381q^{40} + 138q^{41} + 2574q^{42} + 2655q^{44} - 672q^{45} - 3q^{46} - 435q^{48} - 12q^{49} - 2829q^{50} + 1371q^{52} - 4458q^{54} - 2925q^{56} + 660q^{57} + 885q^{58} + 966q^{60} - 12q^{61} + 1872q^{62} - 3q^{64} - 708q^{65} + 3093q^{66} + 2211q^{68} - 1572q^{69} - 1011q^{70} - 4524q^{72} - 6q^{73} - 5883q^{74} - 198q^{76} - 996q^{77} - 2976q^{78} + 444q^{81} - 12q^{82} + 6324q^{84} - 762q^{85} + 8322q^{86} + 1530q^{88} + 4212q^{89} - 1104q^{90} - 3255q^{92} + 7404q^{93} + 2019q^{94} + 582q^{96} - 66q^{97} + 2898q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.60460 + 1.10274i −0.920866 + 0.389879i
\(3\) 2.16828 4.72213i 0.417286 0.908775i
\(4\) 5.56791 5.74442i 0.695989 0.718052i
\(5\) −0.836765 2.29899i −0.0748425 0.205628i 0.896630 0.442781i \(-0.146008\pi\)
−0.971472 + 0.237153i \(0.923786\pi\)
\(6\) −0.440216 + 14.6903i −0.0299529 + 0.999551i
\(7\) 22.6981 4.00229i 1.22558 0.216103i 0.476855 0.878982i \(-0.341777\pi\)
0.748727 + 0.662879i \(0.230666\pi\)
\(8\) −8.16758 + 21.1019i −0.360959 + 0.932581i
\(9\) −17.5971 20.4779i −0.651744 0.758439i
\(10\) 4.71464 + 5.06522i 0.149090 + 0.160176i
\(11\) 2.30985 + 0.840718i 0.0633134 + 0.0230442i 0.373483 0.927637i \(-0.378164\pi\)
−0.310169 + 0.950681i \(0.600386\pi\)
\(12\) −15.0531 38.7480i −0.362121 0.932131i
\(13\) −22.0818 18.5288i −0.471106 0.395305i 0.376092 0.926583i \(-0.377268\pi\)
−0.847198 + 0.531277i \(0.821712\pi\)
\(14\) −54.7060 + 35.4545i −1.04434 + 0.676830i
\(15\) −12.6705 1.03355i −0.218100 0.0177908i
\(16\) −1.99669 63.9688i −0.0311983 0.999513i
\(17\) −42.9739 24.8110i −0.613100 0.353973i 0.161078 0.986942i \(-0.448503\pi\)
−0.774178 + 0.632968i \(0.781836\pi\)
\(18\) 68.4153 + 33.9316i 0.895868 + 0.444320i
\(19\) 53.4555 30.8625i 0.645449 0.372650i −0.141262 0.989972i \(-0.545116\pi\)
0.786710 + 0.617322i \(0.211783\pi\)
\(20\) −17.8654 7.99386i −0.199741 0.0893741i
\(21\) 30.3166 115.862i 0.315030 1.20396i
\(22\) −6.94335 + 0.357440i −0.0672876 + 0.00346393i
\(23\) 18.5100 104.975i 0.167809 0.951690i −0.778313 0.627877i \(-0.783924\pi\)
0.946121 0.323813i \(-0.104965\pi\)
\(24\) 81.9364 + 84.3233i 0.696883 + 0.717185i
\(25\) 91.1704 76.5010i 0.729363 0.612008i
\(26\) 77.9468 + 23.9097i 0.587947 + 0.180349i
\(27\) −134.855 + 38.6940i −0.961214 + 0.275802i
\(28\) 103.390 152.672i 0.697818 1.03044i
\(29\) −13.7345 16.3682i −0.0879462 0.104810i 0.720277 0.693687i \(-0.244015\pi\)
−0.808223 + 0.588877i \(0.799570\pi\)
\(30\) 34.1413 11.2803i 0.207778 0.0686498i
\(31\) −119.672 21.1014i −0.693347 0.122256i −0.184140 0.982900i \(-0.558950\pi\)
−0.509207 + 0.860644i \(0.670061\pi\)
\(32\) 75.7418 + 164.412i 0.418418 + 0.908254i
\(33\) 8.97840 9.08452i 0.0473618 0.0479216i
\(34\) 139.290 + 17.2336i 0.702589 + 0.0869275i
\(35\) −28.1942 48.8338i −0.136162 0.235840i
\(36\) −215.612 12.9339i −0.998206 0.0598790i
\(37\) 146.742 254.165i 0.652008 1.12931i −0.330627 0.943761i \(-0.607260\pi\)
0.982635 0.185549i \(-0.0594064\pi\)
\(38\) −105.197 + 139.332i −0.449083 + 0.594807i
\(39\) −135.375 + 64.0974i −0.555830 + 0.263174i
\(40\) 55.3475 + 1.11987i 0.218780 + 0.00442667i
\(41\) −230.454 + 274.644i −0.877824 + 1.04615i 0.120745 + 0.992684i \(0.461472\pi\)
−0.998570 + 0.0534666i \(0.982973\pi\)
\(42\) 48.8029 + 335.205i 0.179296 + 1.23150i
\(43\) −101.863 + 279.866i −0.361255 + 0.992539i 0.617332 + 0.786703i \(0.288214\pi\)
−0.978586 + 0.205836i \(0.934009\pi\)
\(44\) 17.6905 8.58772i 0.0606123 0.0294238i
\(45\) −32.3538 + 57.5907i −0.107178 + 0.190780i
\(46\) 67.5497 + 293.831i 0.216514 + 0.941804i
\(47\) 85.6590 + 485.796i 0.265844 + 1.50767i 0.766622 + 0.642098i \(0.221936\pi\)
−0.500779 + 0.865575i \(0.666953\pi\)
\(48\) −306.399 129.274i −0.921351 0.388731i
\(49\) 176.871 64.3756i 0.515658 0.187684i
\(50\) −153.102 + 299.792i −0.433037 + 0.847941i
\(51\) −210.340 + 149.131i −0.577520 + 0.409461i
\(52\) −229.387 + 23.6802i −0.611735 + 0.0631509i
\(53\) 262.882i 0.681315i −0.940188 0.340657i \(-0.889350\pi\)
0.940188 0.340657i \(-0.110650\pi\)
\(54\) 308.573 249.493i 0.777620 0.628734i
\(55\) 6.01382i 0.0147437i
\(56\) −100.933 + 511.662i −0.240852 + 1.22096i
\(57\) −29.8303 319.342i −0.0693180 0.742069i
\(58\) 53.8229 + 27.4869i 0.121850 + 0.0622278i
\(59\) 811.981 295.537i 1.79171 0.652129i 0.792610 0.609729i \(-0.208722\pi\)
0.999101 0.0424007i \(-0.0135006\pi\)
\(60\) −76.4853 + 67.0299i −0.164570 + 0.144225i
\(61\) 64.4814 + 365.692i 0.135344 + 0.767575i 0.974619 + 0.223868i \(0.0718685\pi\)
−0.839275 + 0.543707i \(0.817020\pi\)
\(62\) 334.968 77.0069i 0.686145 0.157740i
\(63\) −481.379 394.380i −0.962667 0.788685i
\(64\) −378.581 344.703i −0.739417 0.673248i
\(65\) −24.1203 + 66.2701i −0.0460271 + 0.126458i
\(66\) −13.3673 + 33.5624i −0.0249303 + 0.0625947i
\(67\) 99.5849 118.681i 0.181586 0.216405i −0.667571 0.744546i \(-0.732666\pi\)
0.849157 + 0.528141i \(0.177111\pi\)
\(68\) −381.799 + 108.715i −0.680882 + 0.193876i
\(69\) −455.572 315.023i −0.794847 0.549627i
\(70\) 127.286 + 96.1016i 0.217337 + 0.164091i
\(71\) 224.567 388.961i 0.375368 0.650157i −0.615014 0.788516i \(-0.710850\pi\)
0.990382 + 0.138360i \(0.0441829\pi\)
\(72\) 575.847 204.078i 0.942559 0.334039i
\(73\) 393.313 + 681.239i 0.630601 + 1.09223i 0.987429 + 0.158062i \(0.0505247\pi\)
−0.356829 + 0.934170i \(0.616142\pi\)
\(74\) −101.926 + 823.818i −0.160118 + 1.29415i
\(75\) −163.565 596.395i −0.251824 0.918210i
\(76\) 120.348 478.910i 0.181643 0.722826i
\(77\) 55.7941 + 9.83800i 0.0825756 + 0.0145603i
\(78\) 281.915 316.232i 0.409239 0.459055i
\(79\) 624.862 + 744.681i 0.889904 + 1.06055i 0.997794 + 0.0663840i \(0.0211462\pi\)
−0.107890 + 0.994163i \(0.534409\pi\)
\(80\) −145.393 + 58.1172i −0.203193 + 0.0812213i
\(81\) −109.685 + 720.701i −0.150460 + 0.988616i
\(82\) 297.378 969.469i 0.400487 1.30561i
\(83\) 268.642 225.417i 0.355268 0.298105i −0.447633 0.894217i \(-0.647733\pi\)
0.802901 + 0.596112i \(0.203289\pi\)
\(84\) −496.757 819.258i −0.645246 1.06415i
\(85\) −21.0812 + 119.558i −0.0269009 + 0.152563i
\(86\) −43.3081 841.269i −0.0543027 1.05484i
\(87\) −107.073 + 29.3654i −0.131948 + 0.0361874i
\(88\) −36.6067 + 41.8757i −0.0443441 + 0.0507269i
\(89\) 852.625 492.263i 1.01548 0.586290i 0.102692 0.994713i \(-0.467255\pi\)
0.912793 + 0.408423i \(0.133921\pi\)
\(90\) 20.7610 185.679i 0.0243156 0.217470i
\(91\) −575.372 332.191i −0.662806 0.382671i
\(92\) −499.960 690.822i −0.566570 0.782861i
\(93\) −359.127 + 519.354i −0.400427 + 0.579081i
\(94\) −758.816 1170.85i −0.832616 1.28472i
\(95\) −115.682 97.0690i −0.124934 0.104832i
\(96\) 940.603 1.17197i 0.999999 0.00124597i
\(97\) 1080.17 + 393.151i 1.13067 + 0.411530i 0.838535 0.544847i \(-0.183412\pi\)
0.292134 + 0.956377i \(0.405635\pi\)
\(98\) −389.688 + 362.716i −0.401678 + 0.373876i
\(99\) −23.4306 62.0950i −0.0237865 0.0630382i
\(100\) 68.1748 949.672i 0.0681748 0.949672i
\(101\) −1172.32 + 206.712i −1.15496 + 0.203650i −0.718139 0.695900i \(-0.755006\pi\)
−0.436818 + 0.899550i \(0.643894\pi\)
\(102\) 383.400 620.379i 0.372179 0.602222i
\(103\) 627.482 + 1723.99i 0.600269 + 1.64922i 0.750731 + 0.660608i \(0.229702\pi\)
−0.150462 + 0.988616i \(0.548076\pi\)
\(104\) 571.348 314.632i 0.538705 0.296656i
\(105\) −291.733 + 27.2512i −0.271145 + 0.0253281i
\(106\) 289.892 + 684.704i 0.265630 + 0.627400i
\(107\) 1483.70 1.34051 0.670257 0.742129i \(-0.266184\pi\)
0.670257 + 0.742129i \(0.266184\pi\)
\(108\) −528.584 + 990.106i −0.470954 + 0.882158i
\(109\) −1859.63 −1.63413 −0.817066 0.576544i \(-0.804401\pi\)
−0.817066 + 0.576544i \(0.804401\pi\)
\(110\) 6.63170 + 15.6636i 0.00574825 + 0.0135770i
\(111\) −882.023 1244.04i −0.754215 1.06377i
\(112\) −301.343 1443.98i −0.254234 1.21824i
\(113\) 316.362 + 869.197i 0.263370 + 0.723604i 0.998935 + 0.0461488i \(0.0146948\pi\)
−0.735564 + 0.677455i \(0.763083\pi\)
\(114\) 429.849 + 798.865i 0.353150 + 0.656321i
\(115\) −256.826 + 45.2853i −0.208253 + 0.0367207i
\(116\) −170.498 12.2397i −0.136469 0.00979678i
\(117\) 9.14469 + 778.241i 0.00722587 + 0.614943i
\(118\) −1788.99 + 1665.16i −1.39567 + 1.29907i
\(119\) −1074.73 391.168i −0.827899 0.301330i
\(120\) 125.297 258.930i 0.0953168 0.196975i
\(121\) −1014.98 851.666i −0.762567 0.639870i
\(122\) −571.213 881.376i −0.423895 0.654066i
\(123\) 797.216 + 1683.74i 0.584411 + 1.23429i
\(124\) −787.540 + 569.956i −0.570348 + 0.412771i
\(125\) −517.009 298.495i −0.369941 0.213586i
\(126\) 1688.70 + 496.365i 1.19398 + 0.350950i
\(127\) −1096.00 + 632.778i −0.765784 + 0.442126i −0.831369 0.555721i \(-0.812442\pi\)
0.0655845 + 0.997847i \(0.479109\pi\)
\(128\) 1366.17 + 480.337i 0.943389 + 0.331689i
\(129\) 1100.70 + 1087.84i 0.751248 + 0.742472i
\(130\) −10.2550 199.206i −0.00691865 0.134396i
\(131\) 385.523 2186.41i 0.257124 1.45822i −0.533436 0.845841i \(-0.679099\pi\)
0.790560 0.612384i \(-0.209789\pi\)
\(132\) −2.19434 102.158i −0.00144691 0.0673611i
\(133\) 1089.82 914.464i 0.710519 0.596196i
\(134\) −128.505 + 418.933i −0.0828442 + 0.270077i
\(135\) 201.799 + 277.652i 0.128652 + 0.177011i
\(136\) 874.552 704.185i 0.551413 0.443995i
\(137\) −2.85198 3.39886i −0.00177855 0.00211959i 0.765154 0.643847i \(-0.222663\pi\)
−0.766933 + 0.641727i \(0.778218\pi\)
\(138\) 1533.97 + 318.130i 0.946236 + 0.196239i
\(139\) 1628.68 + 287.180i 0.993834 + 0.175240i 0.646838 0.762627i \(-0.276091\pi\)
0.346995 + 0.937867i \(0.387202\pi\)
\(140\) −437.504 109.943i −0.264113 0.0663705i
\(141\) 2479.73 + 648.851i 1.48107 + 0.387540i
\(142\) −155.983 + 1260.73i −0.0921816 + 0.745055i
\(143\) −35.4282 61.3634i −0.0207179 0.0358844i
\(144\) −1274.81 + 1166.55i −0.737737 + 0.675089i
\(145\) −26.1377 + 45.2719i −0.0149698 + 0.0259285i
\(146\) −1775.66 1340.63i −1.00654 0.759942i
\(147\) 79.5154 974.791i 0.0446144 0.546935i
\(148\) −642.983 2258.12i −0.357114 1.25416i
\(149\) 264.059 314.694i 0.145185 0.173025i −0.688551 0.725188i \(-0.741753\pi\)
0.833736 + 0.552163i \(0.186197\pi\)
\(150\) 1083.69 + 1373.00i 0.589887 + 0.747367i
\(151\) −457.403 + 1256.70i −0.246509 + 0.677279i 0.753299 + 0.657679i \(0.228462\pi\)
−0.999808 + 0.0196001i \(0.993761\pi\)
\(152\) 214.656 + 1380.08i 0.114546 + 0.736445i
\(153\) 248.139 + 1316.61i 0.131117 + 0.695699i
\(154\) −156.170 + 35.9025i −0.0817179 + 0.0187864i
\(155\) 51.6254 + 292.782i 0.0267526 + 0.151722i
\(156\) −385.555 + 1134.54i −0.197879 + 0.582281i
\(157\) 265.652 96.6894i 0.135040 0.0491506i −0.273616 0.961839i \(-0.588220\pi\)
0.408656 + 0.912688i \(0.365998\pi\)
\(158\) −2448.71 1250.54i −1.23297 0.629667i
\(159\) −1241.37 570.004i −0.619162 0.284303i
\(160\) 314.603 311.704i 0.155447 0.154015i
\(161\) 2456.82i 1.20264i
\(162\) −509.063 1998.09i −0.246887 0.969044i
\(163\) 1523.40i 0.732034i 0.930608 + 0.366017i \(0.119279\pi\)
−0.930608 + 0.366017i \(0.880721\pi\)
\(164\) 294.524 + 2853.01i 0.140234 + 1.35843i
\(165\) −28.3981 13.0397i −0.0133987 0.00615234i
\(166\) −451.127 + 883.364i −0.210929 + 0.413026i
\(167\) −1584.94 + 576.869i −0.734407 + 0.267302i −0.682029 0.731325i \(-0.738902\pi\)
−0.0523779 + 0.998627i \(0.516680\pi\)
\(168\) 2197.29 + 1586.05i 1.00907 + 0.728370i
\(169\) −237.217 1345.32i −0.107973 0.612346i
\(170\) −76.9331 334.647i −0.0347088 0.150978i
\(171\) −1572.66 551.562i −0.703299 0.246661i
\(172\) 1040.50 + 2143.41i 0.461266 + 0.950196i
\(173\) −72.7765 + 199.952i −0.0319832 + 0.0878731i −0.954657 0.297710i \(-0.903777\pi\)
0.922673 + 0.385583i \(0.126000\pi\)
\(174\) 246.500 194.559i 0.107397 0.0847673i
\(175\) 1763.21 2101.32i 0.761637 0.907684i
\(176\) 49.1677 149.437i 0.0210577 0.0640015i
\(177\) 365.041 4475.09i 0.155018 1.90039i
\(178\) −1677.91 + 2222.38i −0.706543 + 0.935810i
\(179\) −260.045 + 450.411i −0.108585 + 0.188074i −0.915197 0.403006i \(-0.867965\pi\)
0.806612 + 0.591081i \(0.201299\pi\)
\(180\) 150.682 + 506.514i 0.0623954 + 0.209741i
\(181\) −1543.31 2673.10i −0.633777 1.09773i −0.986773 0.162109i \(-0.948170\pi\)
0.352996 0.935625i \(-0.385163\pi\)
\(182\) 1864.94 + 230.738i 0.759551 + 0.0939750i
\(183\) 1866.66 + 488.435i 0.754030 + 0.197301i
\(184\) 2064.00 + 1247.99i 0.826956 + 0.500017i
\(185\) −707.112 124.683i −0.281016 0.0495507i
\(186\) 362.669 1748.74i 0.142969 0.689374i
\(187\) −78.4043 93.4386i −0.0306604 0.0365396i
\(188\) 3267.56 + 2212.81i 1.26761 + 0.858435i
\(189\) −2906.08 + 1418.01i −1.11845 + 0.545740i
\(190\) 408.349 + 125.258i 0.155920 + 0.0478273i
\(191\) −1713.64 + 1437.91i −0.649185 + 0.544731i −0.906823 0.421511i \(-0.861500\pi\)
0.257639 + 0.966241i \(0.417056\pi\)
\(192\) −2448.61 + 1040.30i −0.920380 + 0.391026i
\(193\) −880.807 + 4995.30i −0.328507 + 1.86306i 0.155280 + 0.987870i \(0.450372\pi\)
−0.483787 + 0.875186i \(0.660739\pi\)
\(194\) −3246.97 + 167.152i −1.20164 + 0.0618599i
\(195\) 260.636 + 257.592i 0.0957157 + 0.0945976i
\(196\) 614.999 1374.46i 0.224125 0.500895i
\(197\) 4691.03 2708.37i 1.69656 0.979508i 0.747576 0.664177i \(-0.231218\pi\)
0.948982 0.315331i \(-0.102116\pi\)
\(198\) 129.502 + 135.895i 0.0464815 + 0.0487759i
\(199\) −1586.90 916.195i −0.565287 0.326369i 0.189978 0.981788i \(-0.439158\pi\)
−0.755265 + 0.655420i \(0.772492\pi\)
\(200\) 869.676 + 2548.70i 0.307477 + 0.901101i
\(201\) −344.498 727.587i −0.120890 0.255323i
\(202\) 2825.49 1831.18i 0.984161 0.637827i
\(203\) −377.258 316.557i −0.130435 0.109448i
\(204\) −314.485 + 2038.63i −0.107933 + 0.699671i
\(205\) 824.239 + 299.999i 0.280816 + 0.102209i
\(206\) −3535.46 3798.37i −1.19576 1.28468i
\(207\) −2475.39 + 1468.21i −0.831167 + 0.492985i
\(208\) −1141.18 + 1449.54i −0.380415 + 0.483210i
\(209\) 149.421 26.3469i 0.0494529 0.00871989i
\(210\) 729.796 392.685i 0.239813 0.129037i
\(211\) −490.386 1347.33i −0.159998 0.439591i 0.833627 0.552328i \(-0.186260\pi\)
−0.993625 + 0.112737i \(0.964038\pi\)
\(212\) −1510.11 1463.71i −0.489220 0.474188i
\(213\) −1349.80 1903.81i −0.434210 0.612427i
\(214\) −3864.46 + 1636.14i −1.23443 + 0.522638i
\(215\) 728.645 0.231131
\(216\) 284.919 3161.73i 0.0897513 0.995964i
\(217\) −2800.79 −0.876174
\(218\) 4843.60 2050.70i 1.50482 0.637113i
\(219\) 4069.71 380.159i 1.25573 0.117300i
\(220\) −34.5459 33.4844i −0.0105867 0.0102614i
\(221\) 489.222 + 1344.13i 0.148908 + 0.409121i
\(222\) 3669.17 + 2267.58i 1.10927 + 0.685541i
\(223\) −4137.55 + 729.562i −1.24247 + 0.219081i −0.755974 0.654601i \(-0.772837\pi\)
−0.486497 + 0.873682i \(0.661725\pi\)
\(224\) 2377.22 + 3428.69i 0.709083 + 1.02272i
\(225\) −3170.91 520.778i −0.939529 0.154305i
\(226\) −1782.50 1915.05i −0.524646 0.563660i
\(227\) 1768.32 + 643.616i 0.517037 + 0.188186i 0.587341 0.809339i \(-0.300175\pi\)
−0.0703038 + 0.997526i \(0.522397\pi\)
\(228\) −2000.53 1606.71i −0.581089 0.466698i
\(229\) 1229.04 + 1031.29i 0.354660 + 0.297595i 0.802658 0.596439i \(-0.203418\pi\)
−0.447998 + 0.894035i \(0.647863\pi\)
\(230\) 618.991 401.163i 0.177457 0.115008i
\(231\) 167.434 242.135i 0.0476897 0.0689669i
\(232\) 457.578 156.136i 0.129489 0.0441847i
\(233\) −3250.69 1876.79i −0.913990 0.527693i −0.0322774 0.999479i \(-0.510276\pi\)
−0.881713 + 0.471786i \(0.843609\pi\)
\(234\) −882.018 2016.92i −0.246407 0.563463i
\(235\) 1045.17 603.427i 0.290124 0.167503i
\(236\) 2823.35 6309.88i 0.778748 1.74042i
\(237\) 4871.36 1336.00i 1.33514 0.366171i
\(238\) 3230.59 166.309i 0.879866 0.0452951i
\(239\) 244.281 1385.39i 0.0661140 0.374951i −0.933741 0.357948i \(-0.883476\pi\)
0.999855 0.0170028i \(-0.00541241\pi\)
\(240\) −40.8161 + 812.580i −0.0109778 + 0.218549i
\(241\) 4952.52 4155.66i 1.32373 1.11074i 0.338235 0.941062i \(-0.390170\pi\)
0.985499 0.169683i \(-0.0542742\pi\)
\(242\) 3582.78 + 1098.99i 0.951694 + 0.291926i
\(243\) 3165.42 + 2080.63i 0.835645 + 0.549270i
\(244\) 2459.72 + 1665.73i 0.645357 + 0.437040i
\(245\) −295.998 352.757i −0.0771862 0.0919870i
\(246\) −3933.16 3506.34i −1.01939 0.908766i
\(247\) −1752.24 308.967i −0.451385 0.0795914i
\(248\) 1422.71 2352.96i 0.364284 0.602473i
\(249\) −481.958 1757.33i −0.122662 0.447254i
\(250\) 1675.77 + 207.333i 0.423939 + 0.0524516i
\(251\) −303.237 525.221i −0.0762555 0.132078i 0.825376 0.564583i \(-0.190963\pi\)
−0.901632 + 0.432505i \(0.857630\pi\)
\(252\) −4945.76 + 569.369i −1.23632 + 0.142329i
\(253\) 131.010 226.916i 0.0325554 0.0563877i
\(254\) 2156.86 2856.75i 0.532809 0.705702i
\(255\) 518.857 + 358.783i 0.127420 + 0.0881093i
\(256\) −4088.03 + 255.452i −0.998053 + 0.0623663i
\(257\) −2478.71 + 2954.01i −0.601624 + 0.716988i −0.977795 0.209562i \(-0.932796\pi\)
0.376171 + 0.926550i \(0.377241\pi\)
\(258\) −4066.49 1619.60i −0.981273 0.390822i
\(259\) 2313.53 6356.37i 0.555041 1.52496i
\(260\) 246.383 + 507.543i 0.0587694 + 0.121063i
\(261\) −93.4974 + 569.286i −0.0221737 + 0.135011i
\(262\) 1406.91 + 6119.86i 0.331754 + 1.44308i
\(263\) 566.438 + 3212.43i 0.132806 + 0.753182i 0.976362 + 0.216141i \(0.0693470\pi\)
−0.843556 + 0.537041i \(0.819542\pi\)
\(264\) 118.369 + 263.660i 0.0275951 + 0.0614665i
\(265\) −604.365 + 219.971i −0.140097 + 0.0509913i
\(266\) −1830.12 + 3583.60i −0.421849 + 0.826033i
\(267\) −475.800 5093.58i −0.109058 1.16750i
\(268\) −127.271 1232.86i −0.0290087 0.281004i
\(269\) 4773.10i 1.08186i 0.841067 + 0.540932i \(0.181928\pi\)
−0.841067 + 0.540932i \(0.818072\pi\)
\(270\) −831.785 500.641i −0.187484 0.112845i
\(271\) 2638.20i 0.591363i −0.955287 0.295682i \(-0.904453\pi\)
0.955287 0.295682i \(-0.0955467\pi\)
\(272\) −1501.32 + 2798.53i −0.334673 + 0.623845i
\(273\) −2816.22 + 1996.70i −0.624342 + 0.442658i
\(274\) 11.1764 + 5.70768i 0.00246419 + 0.00125844i
\(275\) 274.906 100.058i 0.0602817 0.0219407i
\(276\) −4346.21 + 862.979i −0.947866 + 0.188207i
\(277\) 264.657 + 1500.95i 0.0574069 + 0.325571i 0.999964 0.00847413i \(-0.00269743\pi\)
−0.942557 + 0.334045i \(0.891586\pi\)
\(278\) −4558.75 + 1048.03i −0.983510 + 0.226102i
\(279\) 1673.77 + 2821.95i 0.359161 + 0.605541i
\(280\) 1260.76 196.097i 0.269090 0.0418538i
\(281\) −1877.35 + 5157.97i −0.398552 + 1.09501i 0.564438 + 0.825475i \(0.309093\pi\)
−0.962990 + 0.269537i \(0.913129\pi\)
\(282\) −7174.22 + 1044.50i −1.51496 + 0.220565i
\(283\) 3656.28 4357.39i 0.767998 0.915264i −0.230327 0.973113i \(-0.573980\pi\)
0.998325 + 0.0578489i \(0.0184242\pi\)
\(284\) −983.986 3455.70i −0.205594 0.722036i
\(285\) −709.205 + 335.794i −0.147402 + 0.0697920i
\(286\) 159.944 + 120.759i 0.0330689 + 0.0249673i
\(287\) −4131.65 + 7156.23i −0.849769 + 1.47184i
\(288\) 2033.96 4444.20i 0.416154 0.909294i
\(289\) −1225.33 2122.34i −0.249406 0.431984i
\(290\) 18.1551 146.739i 0.00367623 0.0297130i
\(291\) 4198.63 4248.26i 0.845802 0.855798i
\(292\) 6103.25 + 1533.72i 1.22317 + 0.307377i
\(293\) 6306.43 + 1111.99i 1.25743 + 0.221718i 0.762369 0.647143i \(-0.224036\pi\)
0.495056 + 0.868861i \(0.335147\pi\)
\(294\) 867.839 + 2626.63i 0.172154 + 0.521048i
\(295\) −1358.87 1619.44i −0.268192 0.319619i
\(296\) 4164.84 + 5172.46i 0.817826 + 1.01569i
\(297\) −344.025 23.9973i −0.0672134 0.00468843i
\(298\) −340.743 + 1110.84i −0.0662374 + 0.215937i
\(299\) −2353.80 + 1975.07i −0.455264 + 0.382011i
\(300\) −4336.65 2381.09i −0.834590 0.458241i
\(301\) −1191.99 + 6760.11i −0.228256 + 1.29451i
\(302\) −194.470 3777.61i −0.0370545 0.719792i
\(303\) −1565.81 + 5984.08i −0.296876 + 1.13458i
\(304\) −2080.97 3357.86i −0.392605 0.633508i
\(305\) 786.767 454.240i 0.147705 0.0852778i
\(306\) −2098.19 3155.62i −0.391979 0.589526i
\(307\) 2923.34 + 1687.79i 0.543465 + 0.313770i 0.746482 0.665406i \(-0.231741\pi\)
−0.203017 + 0.979175i \(0.565075\pi\)
\(308\) 367.170 265.727i 0.0679268 0.0491598i
\(309\) 9501.49 + 775.052i 1.74926 + 0.142690i
\(310\) −457.328 705.652i −0.0837886 0.129285i
\(311\) 1250.96 + 1049.68i 0.228089 + 0.191389i 0.749669 0.661813i \(-0.230213\pi\)
−0.521580 + 0.853202i \(0.674657\pi\)
\(312\) −246.890 3380.19i −0.0447994 0.613352i
\(313\) 6675.08 + 2429.53i 1.20542 + 0.438739i 0.865114 0.501575i \(-0.167246\pi\)
0.340310 + 0.940313i \(0.389468\pi\)
\(314\) −585.294 + 544.783i −0.105191 + 0.0979105i
\(315\) −503.875 + 1436.69i −0.0901274 + 0.256978i
\(316\) 7756.94 + 556.853i 1.38089 + 0.0991311i
\(317\) −7470.32 + 1317.22i −1.32358 + 0.233383i −0.790385 0.612610i \(-0.790120\pi\)
−0.533194 + 0.845993i \(0.679008\pi\)
\(318\) 3861.83 + 115.725i 0.681009 + 0.0204074i
\(319\) −17.9637 49.3550i −0.00315290 0.00866253i
\(320\) −475.686 + 1158.79i −0.0830990 + 0.202432i
\(321\) 3217.09 7006.24i 0.559378 1.21823i
\(322\) 2709.24 + 6399.04i 0.468883 + 1.10747i
\(323\) −3062.92 −0.527632
\(324\) 3529.29 + 4642.88i 0.605160 + 0.796104i
\(325\) −3430.68 −0.585538
\(326\) −1679.91 3967.84i −0.285405 0.674105i
\(327\) −4032.21 + 8781.43i −0.681901 + 1.48506i
\(328\) −3913.26 7106.18i −0.658761 1.19626i
\(329\) 3888.59 + 10683.8i 0.651626 + 1.79033i
\(330\) 88.3451 + 2.64738i 0.0147371 + 0.000441617i
\(331\) 147.613 26.0281i 0.0245122 0.00432216i −0.161379 0.986893i \(-0.551594\pi\)
0.185891 + 0.982570i \(0.440483\pi\)
\(332\) 200.883 2798.29i 0.0332075 0.462579i
\(333\) −7786.99 + 1467.60i −1.28146 + 0.241513i
\(334\) 3491.99 3250.29i 0.572075 0.532479i
\(335\) −356.175 129.637i −0.0580893 0.0211428i
\(336\) −7472.06 1707.98i −1.21320 0.277315i
\(337\) 738.878 + 619.992i 0.119434 + 0.100217i 0.700549 0.713605i \(-0.252939\pi\)
−0.581115 + 0.813822i \(0.697383\pi\)
\(338\) 2101.40 + 3242.45i 0.338170 + 0.521792i
\(339\) 4790.43 + 390.763i 0.767494 + 0.0626058i
\(340\) 569.410 + 786.785i 0.0908253 + 0.125498i
\(341\) −258.685 149.352i −0.0410809 0.0237180i
\(342\) 4704.38 297.638i 0.743813 0.0470597i
\(343\) −3089.43 + 1783.68i −0.486337 + 0.280787i
\(344\) −5073.74 4435.33i −0.795225 0.695166i
\(345\) −343.028 + 1310.96i −0.0535305 + 0.204578i
\(346\) −30.9417 601.049i −0.00480762 0.0933890i
\(347\) −1662.33 + 9427.54i −0.257172 + 1.45849i 0.533264 + 0.845949i \(0.320965\pi\)
−0.790436 + 0.612544i \(0.790146\pi\)
\(348\) −427.486 + 778.577i −0.0658496 + 0.119931i
\(349\) −268.124 + 224.982i −0.0411241 + 0.0345073i −0.663118 0.748515i \(-0.730767\pi\)
0.621994 + 0.783022i \(0.286323\pi\)
\(350\) −2275.26 + 7417.47i −0.347479 + 1.13280i
\(351\) 3694.78 + 1644.26i 0.561860 + 0.250041i
\(352\) 36.7288 + 443.444i 0.00556150 + 0.0671468i
\(353\) −4531.40 5400.32i −0.683236 0.814249i 0.307284 0.951618i \(-0.400580\pi\)
−0.990520 + 0.137369i \(0.956135\pi\)
\(354\) 3984.09 + 12058.4i 0.598170 + 1.81044i
\(355\) −1082.13 190.808i −0.161784 0.0285269i
\(356\) 1919.58 7638.72i 0.285779 1.13722i
\(357\) −4177.46 + 4226.83i −0.619313 + 0.626632i
\(358\) 180.626 1459.91i 0.0266659 0.215526i
\(359\) −5309.26 9195.91i −0.780535 1.35193i −0.931631 0.363407i \(-0.881613\pi\)
0.151096 0.988519i \(1.54828\pi\)
\(360\) −951.022 1153.10i −0.139231 0.168816i
\(361\) −1524.51 + 2640.53i −0.222264 + 0.384973i
\(362\) 6967.46 + 5260.48i 1.01161 + 0.763770i
\(363\) −6222.44 + 2946.20i −0.899706 + 0.425993i
\(364\) −5111.87 + 1455.57i −0.736084 + 0.209594i
\(365\) 1237.05 1474.26i 0.177398 0.211415i
\(366\) −5400.53 + 786.270i −0.771285 + 0.112292i
\(367\) 3743.72 10285.8i 0.532481 1.46298i −0.323627 0.946185i \(-0.604902\pi\)
0.856109 0.516796i \(-0.172875\pi\)
\(368\) −6752.11 974.458i −0.956462 0.138036i
\(369\) 9679.43 113.738i 1.36556 0.0160459i
\(370\) 1979.24 455.014i 0.278097 0.0639326i
\(371\) −1052.13 5966.93i −0.147234 0.835007i
\(372\) 983.799 + 4954.70i 0.137117 + 0.690562i
\(373\) 877.263 319.298i 0.121777 0.0443233i −0.280413 0.959880i \(-0.590471\pi\)
0.402190 + 0.915556i \(0.368249\pi\)
\(374\) 307.251 + 156.911i 0.0424801 + 0.0216943i
\(375\) −2530.56 + 1794.16i −0.348473 + 0.247067i
\(376\) −10950.9 2160.21i −1.50199 0.296288i
\(377\) 615.923i 0.0841423i
\(378\) 6005.48 6898.00i 0.817166 0.938611i
\(379\) 3823.00i 0.518138i −0.965859 0.259069i \(-0.916584\pi\)
0.965859 0.259069i \(-0.0834158\pi\)
\(380\) −1201.71 + 124.056i −0.162228 + 0.0167472i
\(381\) 611.615 + 6547.52i 0.0822414 + 0.880419i
\(382\) 2877.69 5634.89i 0.385433 0.754728i
\(383\) 3918.78 1426.32i 0.522820 0.190291i −0.0671094 0.997746i \(-0.521378\pi\)
0.589930 + 0.807455i \(0.299155\pi\)
\(384\) 5230.47 5409.74i 0.695094 0.718919i
\(385\) −24.0690 136.502i −0.00318616 0.0180696i
\(386\) −3214.39 13982.1i −0.423855 1.84370i
\(387\) 7523.55 2838.89i 0.988226 0.372892i
\(388\) 8272.73 4015.94i 1.08243 0.525460i
\(389\) 246.304 676.714i 0.0321031 0.0882024i −0.922606 0.385744i \(-0.873945\pi\)
0.954709 + 0.297542i \(0.0961669\pi\)
\(390\) −962.912 383.509i −0.125023 0.0497942i
\(391\) −3399.98 + 4051.94i −0.439756 + 0.524081i
\(392\) −86.1561 + 4258.10i −0.0111009 + 0.548639i
\(393\) −9488.59 6561.25i −1.21790 0.842166i
\(394\) −9231.63 + 12227.2i −1.18041 + 1.56345i
\(395\) 1189.15 2059.68i 0.151476 0.262363i
\(396\) −487.159 211.145i −0.0618199 0.0267940i
\(397\) −7143.32 12372.6i −0.903055 1.56414i −0.823506 0.567307i \(-0.807985\pi\)
−0.0795489 0.996831i \(-0.525348\pi\)
\(398\) 5143.57 + 636.385i 0.647798 + 0.0801484i
\(399\) −1955.19 7129.08i −0.245318 0.894487i
\(400\) −5075.72 5679.31i −0.634465 0.709914i
\(401\) 4585.56 + 808.558i 0.571052 + 0.100692i 0.451716 0.892162i \(-0.350812\pi\)
0.119337 + 0.992854i \(0.461923\pi\)
\(402\) 1699.62 + 1515.18i 0.210869 + 0.187986i
\(403\) 2251.59 + 2683.34i 0.278312 + 0.331679i
\(404\) −5339.95 + 7885.27i −0.657606 + 0.971057i
\(405\) 1748.67 350.892i 0.214548 0.0430518i
\(406\) 1331.69 + 408.486i 0.162785 + 0.0499331i
\(407\) 552.634 463.715i 0.0673048 0.0564755i
\(408\) −1428.98 5656.62i −0.173395 0.686384i
\(409\) −163.380 + 926.576i −0.0197522 + 0.112020i −0.993090 0.117357i \(-0.962558\pi\)
0.973338 + 0.229377i \(0.0736689\pi\)
\(410\) −2477.64 + 127.547i −0.298443 + 0.0153637i
\(411\) −22.2338 + 6.09775i −0.00266840 + 0.000731824i
\(412\) 13397.1 + 5994.52i 1.60201 + 0.716818i
\(413\) 17247.6 9957.91i 2.05496 1.18643i
\(414\) 4828.34 6553.84i 0.573189 0.778028i
\(415\) −743.022 428.984i −0.0878879 0.0507421i
\(416\) 1373.84 5033.91i 0.161918 0.593288i
\(417\) 4887.55 7068.16i 0.573967 0.830046i
\(418\) −360.128 + 233.396i −0.0421398 + 0.0273105i
\(419\) 452.713 + 379.871i 0.0527839 + 0.0442910i 0.668798 0.743444i \(-0.266809\pi\)
−0.616014 + 0.787735i \(0.711254\pi\)
\(420\) −1467.80 + 1827.57i −0.170527 + 0.212324i
\(421\) −13377.5 4869.00i −1.54864 0.563659i −0.580543 0.814230i \(-0.697160\pi\)
−0.968098 + 0.250570i \(0.919382\pi\)
\(422\) 2763.02 + 2968.48i 0.318724 + 0.342425i
\(423\) 8440.72 10302.7i 0.970217 1.18424i
\(424\) 5547.32 + 2147.11i 0.635381 + 0.245927i
\(425\) −5816.01 + 1025.52i −0.663807 + 0.117047i
\(426\) 5615.11 + 3470.19i 0.638622 + 0.394674i
\(427\) 2927.21 + 8042.44i 0.331751 + 0.911478i
\(428\) 8261.13 8523.01i 0.932983 0.962559i
\(429\) −366.584 + 34.2433i −0.0412561 + 0.00385380i
\(430\) −1897.83 + 803.509i −0.212841 + 0.0901131i
\(431\) 546.827 0.0611130 0.0305565 0.999533i \(-0.490272\pi\)
0.0305565 + 0.999533i \(0.490272\pi\)
\(432\) 2744.47 + 8549.24i 0.305656 + 0.952142i
\(433\) 12455.3 1.38236 0.691180 0.722683i \(-0.257091\pi\)
0.691180 + 0.722683i \(0.257091\pi\)
\(434\) 7294.93 3088.55i 0.806839 0.341602i
\(435\) 157.106 + 221.588i 0.0173164 + 0.0244238i
\(436\) −10354.3 + 10682.5i −1.13734 + 1.17339i
\(437\) −2250.34 6182.77i −0.246335 0.676800i
\(438\) −10180.8 + 5478.02i −1.11063 + 0.597602i
\(439\) −2619.71 + 461.925i −0.284811 + 0.0502198i −0.314228 0.949347i \(-0.601746\pi\)
0.0294179 + 0.999567i \(0.490635\pi\)
\(440\) 126.903 + 49.1183i 0.0137497 + 0.00532188i
\(441\) −4430.68 2489.11i −0.478424 0.268773i
\(442\) −2756.45 2961.43i −0.296632 0.318689i
\(443\) 6997.03 + 2546.71i 0.750427 + 0.273133i 0.688785 0.724965i \(-0.258144\pi\)
0.0616414 + 0.998098i \(0.480366\pi\)
\(444\) −12057.3 1859.99i −1.28877 0.198809i
\(445\) −1845.16 1548.27i −0.196559 0.164933i
\(446\) 9972.16 6462.88i 1.05873 0.686158i
\(447\) −913.470 1929.27i −0.0966569 0.204142i
\(448\) −9972.67 6308.91i −1.05171 0.665331i
\(449\) −8641.82 4989.36i −0.908313 0.524415i −0.0284252 0.999596i \(-0.509049\pi\)
−0.879888 + 0.475181i \(0.842383\pi\)
\(450\) 8833.25 2140.28i 0.925340 0.224208i
\(451\) −763.212 + 440.641i −0.0796857 + 0.0460065i
\(452\) 6754.51 + 3022.30i 0.702888 + 0.314507i
\(453\) 4942.54 + 4884.81i 0.512629 + 0.506641i
\(454\) −5315.51 + 273.640i −0.549492 + 0.0282876i
\(455\) −282.254 + 1600.74i −0.0290819 + 0.164932i
\(456\) 6982.38 + 1978.78i 0.717061 + 0.203212i
\(457\) 832.764 698.772i 0.0852408 0.0715255i −0.599172 0.800621i \(-0.704503\pi\)
0.684412 + 0.729095i \(0.260059\pi\)
\(458\) −4338.40 1330.78i −0.442621 0.135771i
\(459\) 6755.26 + 1683.04i 0.686947 + 0.171150i
\(460\) −1169.85 + 1727.46i −0.118575 + 0.175094i
\(461\) −8443.22 10062.2i −0.853015 1.01658i −0.999625 0.0273895i \(-0.991281\pi\)
0.146610 0.989194i \(-0.453164\pi\)
\(462\) −169.085 + 815.303i −0.0170272 + 0.0821025i
\(463\) −7493.89 1321.38i −0.752204 0.132634i −0.215616 0.976478i \(-0.569176\pi\)
−0.536588 + 0.843844i \(0.680287\pi\)
\(464\) −1019.63 + 911.264i −0.102015 + 0.0911733i
\(465\) 1494.50 + 391.053i 0.149044 + 0.0389993i
\(466\) 10536.4 + 1303.61i 1.04740 + 0.129589i
\(467\) −3888.42 6734.94i −0.385299 0.667357i 0.606512 0.795075i \(-0.292568\pi\)
−0.991811 + 0.127717i \(0.959235\pi\)
\(468\) 4521.46 + 4280.65i 0.446591 + 0.422805i
\(469\) 1785.39 3092.39i 0.175782 0.304464i
\(470\) −2056.82 + 2724.24i −0.201859 + 0.267361i
\(471\) 119.429 1464.09i 0.0116836 0.143231i
\(472\) −395.527 + 19548.2i −0.0385712 + 1.90631i
\(473\) −470.577 + 560.812i −0.0457445 + 0.0545162i
\(474\) −11214.7 + 8851.61i −1.08673 + 0.857739i
\(475\) 2512.54 6903.14i 0.242701 0.666817i
\(476\) −8231.01 + 3995.68i −0.792579 + 0.384752i
\(477\) −5383.27 + 4625.96i −0.516736 + 0.444043i
\(478\) 891.472 + 3877.76i 0.0853033 + 0.371056i
\(479\) −446.530 2532.40i −0.0425939 0.241562i 0.956076 0.293118i \(-0.0946929\pi\)
−0.998670 + 0.0515564i \(0.983582\pi\)
\(480\) −789.758 2161.46i −0.0750987 0.205535i
\(481\) −7949.71 + 2893.46i −0.753587 + 0.274283i
\(482\) −8316.72 + 16285.2i −0.785926 + 1.53894i
\(483\) −11601.4 5327.09i −1.09293 0.501844i
\(484\) −10543.6 + 1088.45i −0.990198 + 0.102221i
\(485\) 2812.28i 0.263297i
\(486\) −10539.1 1928.57i −0.983666 0.180004i
\(487\) 17036.0i 1.58517i 0.609764 + 0.792583i \(0.291264\pi\)
−0.609764 + 0.792583i \(0.708736\pi\)
\(488\) −8243.46 1626.14i −0.764680 0.150844i
\(489\) 7193.68 + 3303.15i 0.665254 + 0.305468i
\(490\) 1159.96 + 592.381i 0.106942 + 0.0546144i
\(491\) 677.386 246.548i 0.0622607 0.0226611i −0.310702 0.950507i \(-0.600564\pi\)
0.372963 + 0.927846i \(0.378342\pi\)
\(492\) 14110.9 + 4795.36i 1.29303 + 0.439414i
\(493\) 184.116 + 1044.17i 0.0168198 + 0.0953897i
\(494\) 4904.59 1127.53i 0.446697 0.102693i
\(495\) −123.150 + 105.826i −0.0111822 + 0.00960911i
\(496\) −1110.89 + 7697.43i −0.100565 + 0.696824i
\(497\) 3540.50 9727.44i 0.319544 0.877939i
\(498\) 3193.19 + 4045.67i 0.287330 + 0.364038i
\(499\) −13150.8 + 15672.5i −1.17978 + 1.40601i −0.285574 + 0.958357i \(0.592184\pi\)
−0.894208 + 0.447652i \(0.852260\pi\)
\(500\) −4593.34 + 1307.92i −0.410841 + 0.116984i
\(501\) −712.536 + 8735.09i −0.0635405 + 0.778952i
\(502\) 1369.00 + 1033.60i 0.121716 + 0.0918961i
\(503\) −4317.54 + 7478.20i −0.382723 + 0.662896i −0.991450 0.130484i \(-0.958347\pi\)
0.608727 + 0.793379i \(0.291680\pi\)
\(504\) 12253.9 6936.88i 1.08300 0.613082i
\(505\) 1456.19 + 2522.19i 0.128316 + 0.222250i
\(506\) −90.9988 + 735.496i −0.00799484 + 0.0646182i
\(507\) −6867.15 1796.88i −0.601540 0.157400i
\(508\) −2467.51 + 9819.16i −0.215508 + 0.857588i
\(509\) 9860.48 + 1738.67i 0.858660 + 0.151405i 0.585608 0.810594i \(-0.300856\pi\)
0.273052 + 0.961999i \(0.411967\pi\)
\(510\) −1747.06 362.322i −0.151689 0.0314586i
\(511\) 11654.0 + 13888.7i 1.00889 + 1.20235i
\(512\) 10366.0 5173.40i 0.894758 0.446551i
\(513\) −6014.52 + 6230.36i −0.517637 + 0.536213i
\(514\) 3198.53 10427.4i 0.274477 0.894811i
\(515\) 3438.39 2885.15i 0.294201 0.246864i
\(516\) 12377.6 265.870i 1.05599 0.0226827i
\(517\) −210.558 + 1194.13i −0.0179117 + 0.101582i
\(518\) 983.621 + 19107.0i 0.0834321 + 1.62069i
\(519\) 786.399 + 777.213i 0.0665108 + 0.0657338i
\(520\) −1201.42 1050.25i −0.101319 0.0885703i
\(521\) −1156.37 + 667.628i −0.0972386 + 0.0561408i −0.547831 0.836589i \(-0.684546\pi\)
0.450592 + 0.892730i \(0.351213\pi\)
\(522\) −384.253 1585.87i −0.0322190 0.132972i
\(523\) 8735.76 + 5043.59i 0.730378 + 0.421684i 0.818561 0.574420i \(-0.194772\pi\)
−0.0881822 + 0.996104i \(0.528106\pi\)
\(524\) −10413.1 14388.3i −0.868126 1.19954i
\(525\) −6099.55 12882.4i −0.507059 1.07092i
\(526\) −5017.83 7742.47i −0.415946 0.641801i
\(527\) 4619.23 + 3876.00i 0.381816 + 0.320381i
\(528\) −599.053 556.199i −0.0493759 0.0458437i
\(529\) 756.049 + 275.180i 0.0621393 + 0.0226169i
\(530\) 1331.56 1239.40i 0.109131 0.101577i
\(531\) −20340.5 11427.0i −1.66234 0.933882i
\(532\) 814.935 11352.0i 0.0664134 0.925136i
\(533\) 10177.6 1794.59i 0.827097 0.145840i
\(534\) 6856.18 + 12742.1i 0.555610 + 1.03259i
\(535\) −1241.51 3411.02i −0.100327 0.275647i
\(536\) 1691.02 + 3070.77i 0.136271 + 0.247457i
\(537\) 1563.05 + 2204.59i 0.125606 + 0.177160i
\(538\) −5263.51 12432.0i −0.421795 0.996251i
\(539\) 462.667 0.0369731
\(540\) 2718.55 + 386.725i 0.216644 + 0.0308185i
\(541\) −492.587 −0.0391460 −0.0195730 0.999808i \(-0.506231\pi\)
−0.0195730 + 0.999808i \(0.506231\pi\)
\(542\) 2909.26 + 6871.47i 0.230560 + 0.544566i
\(543\) −15969.1 + 1491.70i −1.26206 + 0.117891i
\(544\) 824.293 8944.63i 0.0649655 0.704959i
\(545\) 1556.07 + 4275.28i 0.122303 + 0.336023i
\(546\) 5133.29 8306.18i 0.402353 0.651047i
\(547\) −18111.7 + 3193.59i −1.41573 + 0.249631i −0.828589 0.559857i \(-0.810856\pi\)
−0.587136 + 0.809488i \(0.699745\pi\)
\(548\) −35.4041 2.54158i −0.00275983 0.000198122i
\(549\) 6353.90 7755.56i 0.493949 0.602913i
\(550\) −605.683 + 563.761i −0.0469571 + 0.0437070i
\(551\) −1239.35 451.086i −0.0958222 0.0348764i
\(552\) 10368.5 7040.47i 0.799480 0.542867i
\(553\) 17163.6 + 14402.0i 1.31984 + 1.10748i
\(554\) −2344.48 3617.52i −0.179797 0.277425i
\(555\) −2121.99 + 3068.73i −0.162295 + 0.234703i
\(556\) 10718.0 7756.83i 0.817529 0.591660i
\(557\) −4750.98 2742.98i −0.361410 0.208660i 0.308289 0.951293i \(-0.400244\pi\)
−0.669699 + 0.742633i \(0.733577\pi\)
\(558\) −7471.40 5504.33i −0.566827 0.417593i
\(559\) 7434.90 4292.54i 0.562545 0.324786i
\(560\) −3067.54 + 1901.06i −0.231478 + 0.143454i
\(561\) −611.233 + 167.634i −0.0460005 + 0.0126159i
\(562\) −798.173 15504.7i −0.0599091 1.16375i
\(563\) 2753.82 15617.7i 0.206145 1.16910i −0.689483 0.724301i \(-0.742162\pi\)
0.895628 0.444803i \(-0.146726\pi\)
\(564\) 17534.2 10631.8i 1.30908 0.793762i
\(565\) 1733.56 1454.63i 0.129082 0.108313i
\(566\) −4718.08 + 15381.2i −0.350381 + 1.14226i
\(567\) 394.812 + 16797.5i 0.0292426 + 1.24414i
\(568\) 6373.65 + 7915.65i 0.470831 + 0.584742i
\(569\) 9616.84 + 11460.9i 0.708539 + 0.844404i 0.993464 0.114145i \(-0.0364130\pi\)
−0.284925 + 0.958550i \(0.591969\pi\)
\(570\) 1476.90 1656.68i 0.108527 0.121738i
\(571\) 7297.84 + 1286.81i 0.534860 + 0.0943103i 0.434553 0.900646i \(-0.356906\pi\)
0.100307 + 0.994957i \(0.468017\pi\)
\(572\) −549.758 138.152i −0.0401863 0.0100986i
\(573\) 3074.36 + 11209.8i 0.224142 + 0.817272i
\(574\) 2869.82 23195.3i 0.208683 1.68668i
\(575\) −6343.16 10986.7i −0.460048 0.796827i
\(576\) −396.852 + 13818.3i −0.0287075 + 0.999588i
\(577\) 2019.77 3498.34i 0.145726 0.252405i −0.783917 0.620865i \(-0.786781\pi\)
0.929644 + 0.368460i \(0.120115\pi\)
\(578\) 5531.89 + 4176.61i 0.398091 + 0.300561i
\(579\) 21678.7 + 14990.5i 1.55602 + 1.07597i
\(580\) 114.528 + 402.216i 0.00819917 + 0.0287950i
\(581\) 5195.47 6191.72i 0.370988 0.442127i
\(582\) −6251.03 + 15695.0i −0.445212 + 1.11784i
\(583\) 221.010 607.220i 0.0157003 0.0431363i
\(584\) −17587.9 + 2735.59i −1.24622 + 0.193835i
\(585\) 1781.52 672.228i 0.125909 0.0475097i
\(586\) −17652.0 + 4058.07i −1.24436 + 0.286071i
\(587\) 1880.91 + 10667.2i 0.132255 + 0.750053i 0.976732 + 0.214462i \(0.0687999\pi\)
−0.844478 + 0.535591i \(0.820089\pi\)
\(588\) −5156.87 5884.32i −0.361677 0.412696i
\(589\) −7048.38 + 2565.40i −0.493079 + 0.179466i
\(590\) 5325.16 + 2719.52i 0.371582 + 0.189764i
\(591\) −2617.78 28024.2i −0.182202 1.95052i
\(592\) −16551.6 8879.45i −1.14910 0.616458i
\(593\) 24320.8i 1.68421i 0.539316 + 0.842104i \(0.318683\pi\)
−0.539316 + 0.842104i \(0.681317\pi\)
\(594\) 922.512 316.868i 0.0637224 0.0218876i
\(595\) 2798.10i 0.192792i
\(596\) −337.473 3269.05i −0.0231937 0.224674i
\(597\) −7767.24 + 5506.97i −0.532482 + 0.377530i
\(598\) 3952.72 7739.92i 0.270299 0.529279i
\(599\) 12136.9 4417.47i 0.827881 0.301324i 0.106892 0.994271i \(-0.465910\pi\)
0.720989 + 0.692947i \(0.243688\pi\)
\(600\) 13921.0 + 1419.57i 0.947204 + 0.0965896i
\(601\) 779.852 + 4422.76i 0.0529298 + 0.300180i 0.999768 0.0215297i \(-0.00685366\pi\)
−0.946838 + 0.321710i \(0.895743\pi\)
\(602\) −4350.01 18921.9i −0.294507 1.28106i
\(603\) −4182.73 + 49.1490i −0.282478 + 0.00331924i
\(604\) 4672.25 + 9624.73i 0.314754 + 0.648385i
\(605\) −1108.68 + 3046.07i −0.0745027 + 0.204695i
\(606\) −2520.60 17312.8i −0.168964 1.16054i
\(607\) 3860.79 4601.11i 0.258163 0.307666i −0.621358 0.783527i \(-0.713419\pi\)
0.879521 + 0.475860i \(0.157863\pi\)
\(608\) 9122.97 + 6451.11i 0.608528 + 0.430308i
\(609\) −2312.83 + 1095.08i −0.153892 + 0.0728649i
\(610\) −1548.31 + 2050.72i −0.102769 + 0.136117i
\(611\) 7109.73 12314.4i 0.470751 0.815364i
\(612\) 8944.80 + 5905.37i 0.590804 + 0.390050i
\(613\) 1508.67 + 2613.10i 0.0994041 + 0.172173i 0.911438 0.411437i \(-0.134973\pi\)
−0.812034 + 0.583610i \(0.801640\pi\)
\(614\) −9475.33 1172.33i −0.622790 0.0770544i
\(615\) 3203.82 3241.69i 0.210066 0.212549i
\(616\) −663.303 + 1097.01i −0.0433851 + 0.0717528i
\(617\) −28480.4 5021.86i −1.85831 0.327670i −0.871606 0.490207i \(-0.836921\pi\)
−0.986702 + 0.162537i \(0.948032\pi\)
\(618\) −25602.3 + 8459.00i −1.66646 + 0.550600i
\(619\) 5672.80 + 6760.58i 0.368351 + 0.438983i 0.918101 0.396345i \(-0.129722\pi\)
−0.549751 + 0.835329i \(0.685277\pi\)
\(620\) 1969.31 + 1333.63i 0.127564 + 0.0863868i
\(621\) 1565.76 + 14872.6i 0.101178 + 0.961060i
\(622\) −4415.80 1354.52i −0.284658 0.0873170i
\(623\) 17382.8 14585.9i 1.11786 0.937996i
\(624\) 4370.54 + 8531.81i 0.280387 + 0.547349i
\(625\) 2329.71 13212.4i 0.149101 0.845595i
\(626\) −20065.1 + 1032.94i −1.28109 + 0.0659498i
\(627\) 199.573 762.713i 0.0127116 0.0485803i
\(628\) 923.702 2064.37i 0.0586938 0.131174i
\(629\) −12612.2 + 7281.64i −0.799492 + 0.461587i
\(630\) −271.905 4297.65i −0.0171951 0.271782i
\(631\) 8485.45 + 4899.08i 0.535341 + 0.309079i 0.743189 0.669082i \(-0.233312\pi\)
−0.207847 + 0.978161i \(0.566646\pi\)
\(632\) −20817.8 + 7103.53i −1.31027 + 0.447094i
\(633\) −7425.55 605.715i −0.466254 0.0380332i
\(634\) 18004.7 11668.7i 1.12785 0.730950i
\(635\) 2371.85 + 1990.22i 0.148227 + 0.124377i
\(636\) −10186.2 + 3957.19i −0.635074 + 0.246718i
\(637\) −5098.42 1855.67i −0.317122 0.115423i
\(638\) 101.214 + 108.741i 0.00628074 + 0.00674778i
\(639\) −11916.8 + 2245.93i −0.737748 + 0.139042i
\(640\) −38.8751 3542.75i −0.00240105 0.218812i
\(641\) −16886.6 + 2977.57i −1.04053 + 0.183474i −0.667705 0.744426i \(-0.732723\pi\)
−0.372829 + 0.927900i \(0.621612\pi\)
\(642\) −653.151 + 21796.1i −0.0401523 + 1.33991i
\(643\) −5649.05 15520.6i −0.346465 0.951904i −0.983474 0.181048i \(-0.942051\pi\)
0.637009 0.770856i \(1.71983\pi\)
\(644\) −14113.0 13679.4i −0.863557 0.837023i
\(645\) 1579.91 3440.76i 0.0964479 0.210046i
\(646\) 7977.68 3377.61i 0.485879 0.205713i
\(647\) 23584.8 1.43310 0.716549 0.697537i \(-0.245721\pi\)
0.716549 + 0.697537i \(0.245721\pi\)
\(648\) −14312.3 8200.95i −0.867655 0.497166i
\(649\) 2124.02 0.128467
\(650\) 8935.55 3783.16i 0.539202 0.228289i
\(651\) −6072.90 + 13225.7i −0.365615 + 0.796245i
\(652\) 8751.02 + 8482.13i 0.525639 + 0.509488i
\(653\) −4434.85 12184.7i −0.265772 0.730202i −0.998752 0.0499519i \(-0.984093\pi\)
0.732980 0.680251i \(-0.238129\pi\)
\(654\) 818.640 27318.6i 0.0489471 1.63340i
\(655\) −5349.13 + 943.196i −0.319096 + 0.0562652i
\(656\) 18028.8 + 14193.5i 1.07303 + 0.844759i
\(657\) 7029.14 20042.0i 0.417401 1.19013i
\(658\) −21909.8 23539.0i −1.29807 1.39460i
\(659\) −1090.87 397.044i −0.0644829 0.0234699i 0.309577 0.950874i \(-0.399812\pi\)
−0.374060 + 0.927404i \(0.622035\pi\)
\(660\) −233.023 + 90.5266i −0.0137431 + 0.00533900i
\(661\) −3645.90 3059.28i −0.214537 0.180018i 0.529186 0.848506i \(-0.322497\pi\)
−0.743723 + 0.668488i \(0.766942\pi\)
\(662\) −355.770 + 230.572i −0.0208873 + 0.0135369i
\(663\) 7407.91 + 604.276i 0.433936 + 0.0353969i
\(664\) 2562.58 + 7509.96i 0.149770 + 0.438920i
\(665\) −3014.27 1740.29i −0.175772 0.101482i
\(666\) 18663.6 12409.6i 1.08589 0.722014i
\(667\) −1972.48 + 1138.81i −0.114505 + 0.0661094i
\(668\) −5511.00 + 12316.5i −0.319202 + 0.713382i
\(669\) −5526.30 + 21120.0i −0.319371 + 1.22055i
\(670\) 1070.65 55.1166i 0.0617356 0.00317812i
\(671\) −158.501 + 898.906i −0.00911904 + 0.0517167i
\(672\) 21345.2 3791.17i 1.22531 0.217630i
\(673\) 7489.70 6284.61i 0.428985 0.359961i −0.402584 0.915383i \(-0.631888\pi\)
0.831569 + 0.555422i \(0.187443\pi\)
\(674\) −2608.18 800.040i −0.149055 0.0457217i
\(675\) −9334.62 + 13844.3i −0.532281 + 0.789431i
\(676\) −9048.91 6127.97i −0.514845 0.348656i
\(677\) 10525.7 + 12544.1i 0.597544 + 0.712125i 0.977037 0.213070i \(-0.0683461\pi\)
−0.379493 + 0.925195i \(0.623902\pi\)
\(678\) −12908.1 + 4264.83i −0.731168 + 0.241578i
\(679\) 26091.4 + 4600.61i 1.47466 + 0.260023i
\(680\) −2350.71 1421.35i −0.132567 0.0801563i
\(681\) 6873.46 6954.70i 0.386772 0.391343i
\(682\) 838.468 + 103.739i 0.0470771 + 0.00582459i
\(683\) 12380.3 + 21443.2i 0.693583 + 1.20132i 0.970656 + 0.240473i \(0.0773024\pi\)
−0.277072 + 0.960849i \(0.589364\pi\)
\(684\) −11924.8 + 5962.96i −0.666604 + 0.333332i
\(685\) −5.42752 + 9.40074i −0.000302737 + 0.000524356i
\(686\) 6079.79 8052.64i 0.338378 0.448180i
\(687\) 7534.78 3567.56i 0.418442 0.198124i
\(688\) 18106.1 + 5957.25i 1.00333 + 0.330113i
\(689\) −4870.90 + 5804.91i −0.269327 + 0.320972i
\(690\) −552.198 3792.80i −0.0304664 0.209260i
\(691\) 3728.65 10244.4i 0.205274 0.563987i −0.793745 0.608250i \(-0.791872\pi\)
0.999020 + 0.0442631i \(0.0140940\pi\)
\(692\) 743.394 + 1531.37i 0.0408376 + 0.0841244i
\(693\) −780.352 1315.66i −0.0427751 0.0721182i
\(694\) −6066.45 26388.1i −0.331815 1.44334i
\(695\) −702.597 3984.63i −0.0383468 0.217475i
\(696\) 254.861 2499.29i 0.0138800 0.136114i
\(697\) 16717.7 6084.73i 0.908503 0.330668i
\(698\) 450.258 881.661i 0.0244162 0.0478100i
\(699\) −15910.9 + 11280.8i −0.860950 + 0.610413i
\(700\) −2253.42 21828.6i −0.121673 1.17863i
\(701\) 15726.2i 0.847318i 0.905822 + 0.423659i \(0.139254\pi\)
−0.905822 + 0.423659i \(0.860746\pi\)
\(702\) −11436.6 208.256i −0.614884 0.0111967i
\(703\) 18115.3i 0.971882i
\(704\) −584.669 1114.49i −0.0313005 0.0596649i
\(705\) −583.245 6243.81i −0.0311578 0.333554i
\(706\) 17757.7 + 9068.70i 0.946627 + 0.483435i
\(707\) −25782.2 + 9383.95i −1.37148 + 0.499179i
\(708\) −23674.3 27013.9i −1.25669 1.43396i
\(709\) 2136.03 + 12114.0i 0.113146 + 0.641681i 0.987652 + 0.156666i \(0.0500746\pi\)
−0.874506 + 0.485015i \(0.838814\pi\)
\(710\) 3028.92 696.329i 0.160103 0.0368067i
\(711\) 4253.73 25900.1i 0.224370 1.36614i
\(712\) 3423.81 + 22012.6i 0.180215 + 1.15865i
\(713\) −4430.26 + 12172.0i −0.232699 + 0.639336i
\(714\) 6219.51 15615.9i 0.325993 0.818501i
\(715\) −111.429 + 132.796i −0.00582826 + 0.00694585i
\(716\) 1139.44 + 4001.66i 0.0594734 + 0.208867i
\(717\) −6012.31 4157.44i −0.313158 0.216545i
\(718\) 23969.2 + 18096.9i 1.24586 + 0.940629i
\(719\) −10003.7 + 17326.9i −0.518881 + 0.898728i 0.480879 + 0.876787i \(0.340318\pi\)
−0.999759 + 0.0219405i \(0.993016\pi\)
\(720\) 3748.61 + 1954.64i 0.194031 + 0.101174i
\(721\) 21142.6 + 36620.0i 1.09208 + 1.89154i
\(722\) 1058.92 8558.67i 0.0545828 0.441165i
\(723\) −8885.10 32397.1i −0.457041 1.66647i
\(724\) −23948.4 6018.13i −1.22933 0.308926i
\(725\) −2504.36 441.587i −0.128289 0.0226209i
\(726\) 12958.1 14535.4i 0.662424 0.743059i
\(727\) 18820.1 + 22429.0i 0.960110 + 1.14421i 0.989483 + 0.144646i \(0.0462043\pi\)
−0.0293736 + 0.999569i \(0.509351\pi\)
\(728\) 11709.3 9428.25i 0.596118 0.479992i
\(729\) 16688.6 10436.1i 0.847866 0.530210i
\(730\) −1596.30 + 5204.01i −0.0809337 + 0.263848i
\(731\) 11321.2 9499.61i 0.572817 0.480651i
\(732\) 13199.2 8003.32i 0.666469 0.404114i
\(733\) 5110.99 28985.9i 0.257543 1.46060i −0.531918 0.846796i \(-0.678529\pi\)
0.789461 0.613801i \(-0.210360\pi\)
\(734\) 1591.68 + 30918.8i 0.0800410 + 1.55481i
\(735\) −2307.57 + 632.866i −0.115804 + 0.0317600i
\(736\) 18661.1 4907.77i 0.934590 0.245792i
\(737\) 329.804 190.412i 0.0164837 0.00951685i
\(738\) −25085.6 + 10970.2i −1.25124 + 0.547178i
\(739\) −20448.3 11805.8i −1.01786 0.587664i −0.104380 0.994538i \(-0.533286\pi\)
−0.913485 + 0.406873i \(0.866619\pi\)
\(740\) −4653.37 + 3367.73i −0.231164 + 0.167297i
\(741\) −5258.33 + 7604.37i −0.260688 + 0.376995i
\(742\) 9320.38 + 14381.3i 0.461134 + 0.711526i
\(743\) −9017.66 7566.72i −0.445257 0.373615i 0.392415 0.919788i \(-0.371640\pi\)
−0.837672 + 0.546173i \(0.816084\pi\)
\(744\) −8026.17 11820.1i −0.395502 0.582456i
\(745\) −944.434 343.746i −0.0464448 0.0169045i
\(746\) −1932.82 + 1799.04i −0.0948599 + 0.0882943i
\(747\) −9343.36 1534.52i −0.457638 0.0751608i
\(748\) −973.299 69.8709i −0.0475767 0.00341542i
\(749\) 33677.2 5938.20i 1.64291 0.289689i
\(750\) 4612.59 7463.63i 0.224571 0.363378i
\(751\) −2171.15 5965.18i −0.105494 0.289844i 0.875703 0.482850i \(-0.160398\pi\)
−0.981198 + 0.193006i \(0.938176\pi\)
\(752\) 30904.8 6449.49i 1.49865 0.312751i
\(753\) −3137.67 + 293.095i −0.151850 + 0.0141846i
\(754\) −679.205 1604.24i −0.0328053 0.0774838i
\(755\) 3271.89 0.157717