Properties

Label 108.4.l.a.11.9
Level 108
Weight 4
Character 108.11
Analytic conductor 6.372
Analytic rank 0
Dimension 312
CM no
Inner twists 4

Related objects

Downloads

Learn more about

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 11.9
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.9

$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(55\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\) \(-1\)

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 −0.971472 0.237153i \(-0.923786\pi\)
0.896630 + 0.442781i \(0.146008\pi\)
\(6\) −0.440216 14.6903i −0.0299529 0.999551i
\(7\) 22.6981 + 4.00229i 1.22558 + 0.216103i 0.748727 0.662879i \(-0.230666\pi\)
0.476855 + 0.878982i \(0.341777\pi\)
\(8\) −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 −0.310169 0.950681i \(-0.600386\pi\)
0.373483 + 0.927637i \(0.378164\pi\)
\(12\) −15.0531 + 38.7480i −0.362121 + 0.932131i
\(13\) −22.0818 + 18.5288i −0.471106 + 0.395305i −0.847198 0.531277i \(-0.821712\pi\)
0.376092 + 0.926583i \(0.377268\pi\)
\(14\) −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 −0.774178 0.632968i \(-0.781836\pi\)
0.161078 + 0.986942i \(0.448503\pi\)
\(18\) 68.4153 33.9316i 0.895868 0.444320i
\(19\) 53.4555 + 30.8625i 0.645449 + 0.372650i 0.786710 0.617322i \(-0.211783\pi\)
−0.141262 + 0.989972i \(0.545116\pi\)
\(20\) −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 0.946121 + 0.323813i \(0.104965\pi\)
−0.778313 + 0.627877i \(0.783924\pi\)
\(24\) 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 −0.808223 0.588877i \(-0.799570\pi\)
0.720277 + 0.693687i \(0.244015\pi\)
\(30\) 34.1413 + 11.2803i 0.207778 + 0.0686498i
\(31\) −119.672 + 21.1014i −0.693347 + 0.122256i −0.509207 0.860644i \(-0.670061\pi\)
−0.184140 + 0.982900i \(0.558950\pi\)
\(32\) 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 0.982635 + 0.185549i \(0.0594064\pi\)
−0.330627 + 0.943761i \(0.607260\pi\)
\(38\) −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 −0.998570 0.0534666i \(-0.982973\pi\)
0.120745 0.992684i \(-0.461472\pi\)
\(42\) 48.8029 335.205i 0.179296 1.23150i
\(43\) −101.863 279.866i −0.361255 0.992539i −0.978586 0.205836i \(-0.934009\pi\)
0.617332 0.786703i \(1.71179\pi\)
\(44\) 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 −0.500779 0.865575i \(-0.666953\pi\)
0.766622 0.642098i \(-0.221936\pi\)
\(48\) −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 \(0.110650\pi\)
−0.940188 + 0.340657i \(0.889350\pi\)
\(54\) 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 0.999101 + 0.0424007i \(0.0135006\pi\)
0.792610 + 0.609729i \(0.208722\pi\)
\(60\) −76.4853 67.0299i −0.164570 0.144225i
\(61\) 64.4814 365.692i 0.135344 0.767575i −0.839275 0.543707i \(-0.817020\pi\)
0.974619 0.223868i \(-0.0718685\pi\)
\(62\) 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 0.849157 0.528141i \(-0.177111\pi\)
−0.667571 + 0.744546i \(0.732666\pi\)
\(68\) −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 0.990382 0.138360i \(-0.0441829\pi\)
−0.615014 + 0.788516i \(0.710850\pi\)
\(72\) 575.847 + 204.078i 0.942559 + 0.334039i
\(73\) 393.313 681.239i 0.630601 1.09223i −0.356829 0.934170i \(-0.616142\pi\)
0.987429 0.158062i \(-0.0505247\pi\)
\(74\) −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 −0.107890 0.994163i \(-0.534409\pi\)
0.997794 0.0663840i \(-0.0211462\pi\)
\(80\) −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 0.802901 0.596112i \(-0.203289\pi\)
−0.447633 + 0.894217i \(0.647733\pi\)
\(84\) −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 0.912793 0.408423i \(-0.133921\pi\)
0.102692 + 0.994713i \(0.467255\pi\)
\(90\) 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 0.292134 0.956377i \(-0.405635\pi\)
0.838535 + 0.544847i \(0.183412\pi\)
\(98\) −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 −0.436818 0.899550i \(-0.643894\pi\)
−0.718139 + 0.695900i \(0.755006\pi\)
\(102\) 383.400 + 620.379i 0.372179 + 0.602222i
\(103\) 627.482 1723.99i 0.600269 1.64922i −0.150462 0.988616i \(-0.548076\pi\)
0.750731 0.660608i \(-0.229702\pi\)
\(104\) 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 −0.735564 0.677455i \(-0.763083\pi\)
0.998935 0.0461488i \(-0.0146948\pi\)
\(114\) 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 0.0655845 0.997847i \(-0.479109\pi\)
−0.831369 + 0.555721i \(0.812442\pi\)
\(128\) 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 0.790560 + 0.612384i \(0.209789\pi\)
−0.533436 + 0.845841i \(0.679099\pi\)
\(132\) −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 −0.766933 0.641727i \(-0.778218\pi\)
0.765154 + 0.643847i \(0.222663\pi\)
\(138\) 1533.97 318.130i 0.946236 0.196239i
\(139\) 1628.68 287.180i 0.993834 0.175240i 0.346995 0.937867i \(-0.387202\pi\)
0.646838 + 0.762627i \(0.276091\pi\)
\(140\) −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 0.833736 0.552163i \(-0.186197\pi\)
−0.688551 + 0.725188i \(0.741753\pi\)
\(150\) 1083.69 1373.00i 0.589887 0.747367i
\(151\) −457.403 1256.70i −0.246509 0.677279i −0.999808 0.0196001i \(-0.993761\pi\)
0.753299 0.657679i \(1.77154\pi\)
\(152\) 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 0.408656 0.912688i \(-0.365998\pi\)
−0.273616 + 0.961839i \(0.588220\pi\)
\(158\) −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 \(-0.880721\pi\)
0.930608 0.366017i \(-0.119279\pi\)
\(164\) 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 −0.0523779 0.998627i \(-0.516680\pi\)
−0.682029 + 0.731325i \(0.738902\pi\)
\(168\) 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 0.922673 0.385583i \(-0.126000\pi\)
−0.954657 + 0.297710i \(0.903777\pi\)
\(174\) 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 0.806612 0.591081i \(-0.201299\pi\)
−0.915197 + 0.403006i \(0.867965\pi\)
\(180\) 150.682 506.514i 0.0623954 0.209741i
\(181\) −1543.31 + 2673.10i −0.633777 + 1.09773i 0.352996 + 0.935625i \(0.385163\pi\)
−0.986773 + 0.162109i \(0.948170\pi\)
\(182\) 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 0.257639 0.966241i \(-0.417056\pi\)
−0.906823 + 0.421511i \(0.861500\pi\)
\(192\) −2448.61 1040.30i −0.920380 0.391026i
\(193\) −880.807 4995.30i −0.328507 1.86306i −0.483787 0.875186i \(-0.660739\pi\)
0.155280 0.987870i \(-0.450372\pi\)
\(194\) −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 0.948982 + 0.315331i \(0.102116\pi\)
0.747576 + 0.664177i \(0.231218\pi\)
\(198\) 129.502 135.895i 0.0464815 0.0487759i
\(199\) −1586.90 + 916.195i −0.565287 + 0.326369i −0.755265 0.655420i \(-0.772492\pi\)
0.189978 + 0.981788i \(0.439158\pi\)
\(200\) 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 −0.993625 0.112737i \(-0.964038\pi\)
0.833627 + 0.552328i \(0.186260\pi\)
\(212\) −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 −0.486497 0.873682i \(-0.661725\pi\)
−0.755974 + 0.654601i \(0.772837\pi\)
\(224\) 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 −0.0703038 0.997526i \(-0.522397\pi\)
0.587341 + 0.809339i \(0.300175\pi\)
\(228\) −2000.53 + 1606.71i −0.581089 + 0.466698i
\(229\) 1229.04 1031.29i 0.354660 0.297595i −0.447998 0.894035i \(-0.647863\pi\)
0.802658 + 0.596439i \(0.203418\pi\)
\(230\) 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 −0.881713 0.471786i \(-0.843609\pi\)
−0.0322774 + 0.999479i \(0.510276\pi\)
\(234\) −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 0.999855 + 0.0170028i \(0.00541241\pi\)
−0.933741 + 0.357948i \(0.883476\pi\)
\(240\) −40.8161 812.580i −0.0109778 0.218549i
\(241\) 4952.52 + 4155.66i 1.32373 + 1.11074i 0.985499 + 0.169683i \(0.0542742\pi\)
0.338235 + 0.941062i \(0.390170\pi\)
\(242\) 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 −0.901632 0.432505i \(-0.857630\pi\)
0.825376 + 0.564583i \(0.190963\pi\)
\(252\) −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 0.376171 0.926550i \(-0.377241\pi\)
−0.977795 + 0.209562i \(0.932796\pi\)
\(258\) −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 −0.843556 0.537041i \(-0.819542\pi\)
0.976362 0.216141i \(-0.0693470\pi\)
\(264\) 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 \(-0.818072\pi\)
0.841067 0.540932i \(-0.181928\pi\)
\(270\) −831.785 + 500.641i −0.187484 + 0.112845i
\(271\) 2638.20i 0.591363i 0.955287 + 0.295682i \(0.0955467\pi\)
−0.955287 + 0.295682i \(0.904453\pi\)
\(272\) −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 −0.942557 0.334045i \(-0.891586\pi\)
0.999964 + 0.00847413i \(0.00269743\pi\)
\(278\) −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 −0.962990 0.269537i \(-0.913129\pi\)
0.564438 0.825475i \(-0.309093\pi\)
\(282\) −7174.22 1044.50i −1.51496 0.220565i
\(283\) 3656.28 + 4357.39i 0.767998 + 0.915264i 0.998325 0.0578489i \(-0.0184242\pi\)
−0.230327 + 0.973113i \(0.573980\pi\)
\(284\) −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 0.495056 0.868861i \(-0.335147\pi\)
0.762369 + 0.647143i \(0.224036\pi\)
\(294\) 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 −0.203017 0.979175i \(-0.565075\pi\)
0.746482 + 0.665406i \(0.231741\pi\)
\(308\) 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 −0.521580 0.853202i \(-0.674657\pi\)
0.749669 + 0.661813i \(0.230213\pi\)
\(312\) −246.890 + 3380.19i −0.0447994 + 0.613352i
\(313\) 6675.08 2429.53i 1.20542 0.438739i 0.340310 0.940313i \(-0.389468\pi\)
0.865114 + 0.501575i \(0.167246\pi\)
\(314\) −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 −0.533194 0.845993i \(-0.679008\pi\)
−0.790385 + 0.612610i \(0.790120\pi\)
\(318\) 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 0.185891 0.982570i \(-0.440483\pi\)
−0.161379 + 0.986893i \(0.551594\pi\)
\(332\) 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 −0.581115 0.813822i \(-0.697383\pi\)
0.700549 + 0.713605i \(0.252939\pi\)
\(338\) 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 −0.790436 0.612544i \(-0.790146\pi\)
0.533264 0.845949i \(1.67903\pi\)
\(348\) −427.486 778.577i −0.0658496 0.119931i
\(349\) −268.124 224.982i −0.0411241 0.0345073i 0.621994 0.783022i \(-0.286323\pi\)
−0.663118 + 0.748515i \(0.730767\pi\)
\(350\) −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 −0.990520 0.137369i \(-0.956135\pi\)
0.307284 + 0.951618i \(0.400580\pi\)
\(354\) 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 0.151096 + 0.988519i \(0.451720\pi\)
−0.931631 + 0.363407i \(0.881613\pi\)
\(360\) −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 0.856109 + 0.516796i \(0.172875\pi\)
−0.323627 + 0.946185i \(0.604902\pi\)
\(368\) −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 0.402190 0.915556i \(-0.368249\pi\)
−0.280413 + 0.959880i \(0.590471\pi\)
\(374\) 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 \(0.0834158\pi\)
−0.965859 + 0.259069i \(0.916584\pi\)
\(380\) −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 0.589930 0.807455i \(-0.299155\pi\)
−0.0671094 + 0.997746i \(0.521378\pi\)
\(384\) 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 0.954709 0.297542i \(-0.0961669\pi\)
−0.922606 + 0.385744i \(0.873945\pi\)
\(390\) −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 −0.0795489 + 0.996831i \(0.525348\pi\)
−0.823506 + 0.567307i \(0.807985\pi\)
\(398\) 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 0.119337 0.992854i \(-0.461923\pi\)
0.451716 + 0.892162i \(0.350812\pi\)
\(402\) 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 0.973338 0.229377i \(-0.0736689\pi\)
−0.993090 + 0.117357i \(0.962558\pi\)
\(410\) −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 −0.616014 0.787735i \(-0.711254\pi\)
0.668798 + 0.743444i \(0.266809\pi\)
\(420\) −1467.80 1827.57i −0.170527 0.212324i
\(421\) −13377.5 + 4869.00i −1.54864 + 0.563659i −0.968098 0.250570i \(-0.919382\pi\)
−0.580543 + 0.814230i \(0.697160\pi\)
\(422\) 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 0.0294179 0.999567i \(-0.490635\pi\)
−0.314228 + 0.949347i \(0.601746\pi\)
\(440\) 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 0.0616414 0.998098i \(-0.480366\pi\)
0.688785 + 0.724965i \(0.258144\pi\)
\(444\) −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 −0.879888 0.475181i \(-0.842383\pi\)
−0.0284252 + 0.999596i \(0.509049\pi\)
\(450\) 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 0.684412 0.729095i \(-0.260059\pi\)
−0.599172 + 0.800621i \(0.704503\pi\)
\(458\) −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 0.146610 + 0.989194i \(0.453164\pi\)
−0.999625 + 0.0273895i \(0.991281\pi\)
\(462\) −169.085 815.303i −0.0170272 0.0821025i
\(463\) −7493.89 + 1321.38i −0.752204 + 0.132634i −0.536588 0.843844i \(-0.680287\pi\)
−0.215616 + 0.976478i \(0.569176\pi\)
\(464\) −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 −0.991811 0.127717i \(-0.959235\pi\)
0.606512 + 0.795075i \(0.292568\pi\)
\(468\) 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 −0.998670 0.0515564i \(-0.983582\pi\)
0.956076 + 0.293118i \(0.0946929\pi\)
\(480\) −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 \(-0.708736\pi\)
0.609764 0.792583i \(-0.291264\pi\)
\(488\) −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 0.372963 0.927846i \(-0.378342\pi\)
−0.310702 + 0.950507i \(0.600564\pi\)
\(492\) 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 −0.894208 0.447652i \(-0.852260\pi\)
−0.285574 0.958357i \(1.40782\pi\)
\(500\) −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 0.608727 0.793379i \(-0.291680\pi\)
−0.991450 + 0.130484i \(0.958347\pi\)
\(504\) 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 0.273052 0.961999i \(-0.411967\pi\)
0.585608 + 0.810594i \(0.300856\pi\)
\(510\) −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 0.450592 0.892730i \(-0.351213\pi\)
−0.547831 + 0.836589i \(0.684546\pi\)
\(522\) −384.253 + 1585.87i −0.0322190 + 0.132972i
\(523\) 8735.76 5043.59i 0.730378 0.421684i −0.0881822 0.996104i \(-0.528106\pi\)
0.818561 + 0.574420i \(0.194772\pi\)
\(524\) −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 −0.587136 0.809488i \(-0.699745\pi\)
−0.828589 + 0.559857i \(0.810856\pi\)
\(548\) −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 −0.669699 0.742633i \(-0.733577\pi\)
0.308289 + 0.951293i \(0.400244\pi\)
\(558\) −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 0.895628 + 0.444803i \(0.146726\pi\)
−0.689483 + 0.724301i \(0.742162\pi\)
\(564\) 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 −0.284925 0.958550i \(-0.591969\pi\)
0.993464 + 0.114145i \(0.0364130\pi\)
\(570\) 1476.90 + 1656.68i 0.108527 + 0.121738i
\(571\) 7297.84 1286.81i 0.534860 0.0943103i 0.100307 0.994957i \(-0.468017\pi\)
0.434553 + 0.900646i \(0.356906\pi\)
\(572\) −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 0.929644 0.368460i \(-0.120115\pi\)
−0.783917 + 0.620865i \(0.786781\pi\)
\(578\) 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 −0.844478 0.535591i \(-0.820089\pi\)
0.976732 0.214462i \(-0.0687999\pi\)
\(588\) −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 \(-0.681317\pi\)
0.539316 0.842104i \(-0.318683\pi\)
\(594\) 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 0.720989 0.692947i \(-0.243688\pi\)
0.106892 + 0.994271i \(0.465910\pi\)
\(600\) 13921.0 1419.57i 0.947204 0.0965896i
\(601\) 779.852 4422.76i 0.0529298 0.300180i −0.946838 0.321710i \(-0.895743\pi\)
0.999768 + 0.0215297i \(0.00685366\pi\)
\(602\) −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 0.879521 0.475860i \(-0.157863\pi\)
−0.621358 + 0.783527i \(0.713419\pi\)
\(608\) 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 −0.812034 0.583610i \(-0.801640\pi\)
0.911438 + 0.411437i \(0.134973\pi\)
\(614\) −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 −0.986702 0.162537i \(-0.948032\pi\)
−0.871606 + 0.490207i \(0.836921\pi\)
\(618\) −25602.3 8459.00i −1.66646 0.550600i
\(619\) 5672.80 6760.58i 0.368351 0.438983i −0.549751 0.835329i \(-0.685277\pi\)
0.918101 + 0.396345i \(0.129722\pi\)
\(620\) 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 −0.207847 0.978161i \(-0.566646\pi\)
0.743189 + 0.669082i \(0.233312\pi\)
\(632\) −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 −0.372829 0.927900i \(-0.621612\pi\)
−0.667705 + 0.744426i \(0.732723\pi\)
\(642\) −653.151 21796.1i −0.0401523 1.33991i
\(643\) −5649.05 + 15520.6i −0.346465 + 0.951904i 0.637009 + 0.770856i \(0.280171\pi\)
−0.983474 + 0.181048i \(0.942051\pi\)
\(644\) −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 0.732980 + 0.680251i \(0.238129\pi\)
−0.998752 + 0.0499519i \(0.984093\pi\)
\(654\) 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 −0.374060 0.927404i \(-0.622035\pi\)
0.309577 + 0.950874i \(0.399812\pi\)
\(660\) −233.023 90.5266i −0.0137431 0.00533900i
\(661\) −3645.90 + 3059.28i −0.214537 + 0.180018i −0.743723 0.668488i \(-0.766942\pi\)
0.529186 + 0.848506i \(0.322497\pi\)
\(662\) −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 0.831569 0.555422i \(-0.187443\pi\)
−0.402584 + 0.915383i \(0.631888\pi\)
\(674\) −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 −0.379493 0.925195i \(-0.623902\pi\)
0.977037 + 0.213070i \(0.0683461\pi\)
\(678\) −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 −0.277072 0.960849i \(-0.589364\pi\)
0.970656 0.240473i \(-0.0773024\pi\)
\(684\) −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 0.999020 0.0442631i \(-0.0140940\pi\)
−0.793745 + 0.608250i \(0.791872\pi\)
\(692\) 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 \(-0.860746\pi\)
0.905822 0.423659i \(-0.139254\pi\)
\(702\) −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 −0.874506 0.485015i \(-0.838814\pi\)
0.987652 0.156666i \(-0.0500746\pi\)
\(710\) 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 −0.999759 0.0219405i \(-0.993016\pi\)
0.480879 0.876787i \(1.65968\pi\)
\(720\) 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 −0.0293736 0.999569i \(-0.509351\pi\)
0.989483 0.144646i \(-0.0462043\pi\)
\(728\) 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 0.789461 + 0.613801i \(0.210360\pi\)
−0.531918 + 0.846796i \(0.678529\pi\)
\(734\) 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 −0.913485 0.406873i \(-0.866619\pi\)
−0.104380 + 0.994538i \(0.533286\pi\)
\(740\) −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 −0.837672 0.546173i \(-0.816084\pi\)
0.392415 + 0.919788i \(0.371640\pi\)
\(744\) −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 −0.981198 0.193006i \(-0.938176\pi\)
0.875703 + 0.482850i \(0.160398\pi\)
\(752\) 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