Properties

Label 108.4.l.a.11.5
Level 108
Weight 4
Character 108.11
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 11.5
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.73813 - 0.708980i) q^{2} +(-4.61237 - 2.39291i) q^{3} +(6.99469 + 3.88256i) q^{4} +(0.577330 - 1.58620i) q^{5} +(10.9327 + 9.82218i) q^{6} +(-27.0016 - 4.76111i) q^{7} +(-16.3997 - 15.5900i) q^{8} +(15.5480 + 22.0740i) q^{9} +O(q^{10})\) \(q+(-2.73813 - 0.708980i) q^{2} +(-4.61237 - 2.39291i) q^{3} +(6.99469 + 3.88256i) q^{4} +(0.577330 - 1.58620i) q^{5} +(10.9327 + 9.82218i) q^{6} +(-27.0016 - 4.76111i) q^{7} +(-16.3997 - 15.5900i) q^{8} +(15.5480 + 22.0740i) q^{9} +(-2.70539 + 3.93391i) q^{10} +(19.7116 - 7.17445i) q^{11} +(-22.9715 - 34.6455i) q^{12} +(-48.6339 + 40.8087i) q^{13} +(70.5583 + 32.1801i) q^{14} +(-6.45850 + 5.93465i) q^{15} +(33.8515 + 54.3146i) q^{16} +(103.873 - 59.9710i) q^{17} +(-26.9223 - 71.4646i) q^{18} +(110.023 + 63.5217i) q^{19} +(10.1968 - 8.85348i) q^{20} +(113.149 + 86.5725i) q^{21} +(-59.0596 + 5.66941i) q^{22} +(21.9463 + 124.463i) q^{23} +(38.3360 + 111.150i) q^{24} +(93.5728 + 78.5169i) q^{25} +(162.098 - 77.2589i) q^{26} +(-18.8919 - 139.018i) q^{27} +(-170.383 - 138.138i) q^{28} +(-3.97135 + 4.73287i) q^{29} +(21.8918 - 11.6709i) q^{30} +(-182.057 + 32.1016i) q^{31} +(-54.1818 - 172.720i) q^{32} +(-108.085 - 14.0770i) q^{33} +(-326.935 + 90.5646i) q^{34} +(-23.1409 + 40.0813i) q^{35} +(23.0497 + 214.767i) q^{36} +(34.7162 + 60.1302i) q^{37} +(-256.221 - 251.935i) q^{38} +(321.969 - 71.8482i) q^{39} +(-34.1970 + 17.0127i) q^{40} +(77.0664 + 91.8441i) q^{41} +(-248.437 - 317.267i) q^{42} +(-16.6589 - 45.7699i) q^{43} +(165.732 + 26.3485i) q^{44} +(43.9901 - 11.9182i) q^{45} +(28.1504 - 356.356i) q^{46} +(-87.1016 + 493.978i) q^{47} +(-26.1657 - 331.523i) q^{48} +(384.104 + 139.802i) q^{49} +(-200.547 - 281.331i) q^{50} +(-622.605 + 28.0502i) q^{51} +(-498.621 + 96.6204i) q^{52} -387.340i q^{53} +(-46.8329 + 394.044i) q^{54} -35.4087i q^{55} +(368.593 + 499.037i) q^{56} +(-355.464 - 556.261i) q^{57} +(14.2296 - 10.1436i) q^{58} +(-226.362 - 82.3891i) q^{59} +(-68.2169 + 16.4356i) q^{60} +(5.95679 - 33.7827i) q^{61} +(521.256 + 41.1767i) q^{62} +(-314.723 - 670.059i) q^{63} +(25.9014 + 511.344i) q^{64} +(36.6530 + 100.703i) q^{65} +(285.971 + 115.175i) q^{66} +(320.511 + 381.970i) q^{67} +(959.400 - 16.1867i) q^{68} +(196.606 - 626.587i) q^{69} +(91.7796 - 93.3412i) q^{70} +(128.146 + 221.955i) q^{71} +(89.1523 - 604.400i) q^{72} +(-401.231 + 694.952i) q^{73} +(-52.4263 - 189.257i) q^{74} +(-243.709 - 586.061i) q^{75} +(522.949 + 871.485i) q^{76} +(-566.405 + 99.8724i) q^{77} +(-932.531 - 31.5399i) q^{78} +(-41.6801 + 49.6724i) q^{79} +(105.697 - 22.3378i) q^{80} +(-245.522 + 686.411i) q^{81} +(-145.902 - 306.119i) q^{82} +(814.670 + 683.589i) q^{83} +(455.317 + 1044.85i) q^{84} +(-35.1572 - 199.386i) q^{85} +(13.1642 + 137.135i) q^{86} +(29.6427 - 12.3267i) q^{87} +(-435.115 - 189.646i) q^{88} +(-741.208 - 427.937i) q^{89} +(-128.900 + 1.44548i) q^{90} +(1507.49 - 870.348i) q^{91} +(-329.729 + 955.791i) q^{92} +(916.533 + 287.582i) q^{93} +(588.716 - 1290.82i) q^{94} +(164.278 - 137.845i) q^{95} +(-163.398 + 926.303i) q^{96} +(-805.459 + 293.163i) q^{97} +(-952.609 - 655.119i) q^{98} +(464.845 + 323.567i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.73813 0.708980i −0.968075 0.250662i
\(3\) −4.61237 2.39291i −0.887651 0.460516i
\(4\) 6.99469 + 3.88256i 0.874337 + 0.485320i
\(5\) 0.577330 1.58620i 0.0516380 0.141874i −0.911192 0.411981i \(-0.864837\pi\)
0.962830 + 0.270107i \(0.0870591\pi\)
\(6\) 10.9327 + 9.82218i 0.743879 + 0.668315i
\(7\) −27.0016 4.76111i −1.45795 0.257076i −0.612220 0.790687i \(-0.709723\pi\)
−0.845730 + 0.533612i \(0.820834\pi\)
\(8\) −16.3997 15.5900i −0.724772 0.688989i
\(9\) 15.5480 + 22.0740i 0.575850 + 0.817555i
\(10\) −2.70539 + 3.93391i −0.0855519 + 0.124401i
\(11\) 19.7116 7.17445i 0.540299 0.196653i −0.0574323 0.998349i \(-0.518291\pi\)
0.597731 + 0.801697i \(0.296069\pi\)
\(12\) −22.9715 34.6455i −0.552609 0.833441i
\(13\) −48.6339 + 40.8087i −1.03759 + 0.870637i −0.991734 0.128311i \(-0.959044\pi\)
−0.0458513 + 0.998948i \(0.514600\pi\)
\(14\) 70.5583 + 32.1801i 1.34696 + 0.614322i
\(15\) −6.45850 + 5.93465i −0.111172 + 0.102155i
\(16\) 33.8515 + 54.3146i 0.528930 + 0.848666i
\(17\) 103.873 59.9710i 1.48193 0.855595i 0.482143 0.876092i \(-0.339858\pi\)
0.999790 + 0.0204978i \(0.00652512\pi\)
\(18\) −26.9223 71.4646i −0.352536 0.935798i
\(19\) 110.023 + 63.5217i 1.32847 + 0.766994i 0.985063 0.172192i \(-0.0550850\pi\)
0.343409 + 0.939186i \(0.388418\pi\)
\(20\) 10.1968 8.85348i 0.114003 0.0989849i
\(21\) 113.149 + 86.5725i 1.17576 + 0.899603i
\(22\) −59.0596 + 5.66941i −0.572343 + 0.0549419i
\(23\) 21.9463 + 124.463i 0.198961 + 1.12837i 0.906663 + 0.421855i \(0.138621\pi\)
−0.707702 + 0.706511i \(0.750268\pi\)
\(24\) 38.3360 + 111.150i 0.326055 + 0.945351i
\(25\) 93.5728 + 78.5169i 0.748583 + 0.628135i
\(26\) 162.098 77.2589i 1.22270 0.582758i
\(27\) −18.8919 139.018i −0.134657 0.990892i
\(28\) −170.383 138.138i −1.14998 0.932343i
\(29\) −3.97135 + 4.73287i −0.0254297 + 0.0303059i −0.778609 0.627509i \(-0.784075\pi\)
0.753180 + 0.657815i \(0.228519\pi\)
\(30\) 21.8918 11.6709i 0.133229 0.0710268i
\(31\) −182.057 + 32.1016i −1.05479 + 0.185988i −0.674043 0.738692i \(-0.735444\pi\)
−0.380746 + 0.924680i \(0.624333\pi\)
\(32\) −54.1818 172.720i −0.299315 0.954154i
\(33\) −108.085 14.0770i −0.570159 0.0742571i
\(34\) −326.935 + 90.5646i −1.64909 + 0.456815i
\(35\) −23.1409 + 40.0813i −0.111758 + 0.193571i
\(36\) 23.0497 + 214.767i 0.106711 + 0.994290i
\(37\) 34.7162 + 60.1302i 0.154252 + 0.267172i 0.932786 0.360430i \(-0.117370\pi\)
−0.778535 + 0.627602i \(0.784037\pi\)
\(38\) −256.221 251.935i −1.09380 1.07551i
\(39\) 321.969 71.8482i 1.32196 0.294998i
\(40\) −34.1970 + 17.0127i −0.135175 + 0.0672484i
\(41\) 77.0664 + 91.8441i 0.293555 + 0.349845i 0.892583 0.450883i \(-0.148891\pi\)
−0.599028 + 0.800728i \(0.704446\pi\)
\(42\) −248.437 317.267i −0.912730 1.16560i
\(43\) −16.6589 45.7699i −0.0590804 0.162322i 0.906641 0.421903i \(-0.138638\pi\)
−0.965721 + 0.259581i \(0.916416\pi\)
\(44\) 165.732 + 26.3485i 0.567842 + 0.0902769i
\(45\) 43.9901 11.9182i 0.145726 0.0394814i
\(46\) 28.1504 356.356i 0.0902294 1.14221i
\(47\) −87.1016 + 493.978i −0.270321 + 1.53307i 0.483123 + 0.875553i \(0.339502\pi\)
−0.753444 + 0.657512i \(0.771609\pi\)
\(48\) −26.1657 331.523i −0.0786812 0.996900i
\(49\) 384.104 + 139.802i 1.11984 + 0.407587i
\(50\) −200.547 281.331i −0.567234 0.795723i
\(51\) −622.605 + 28.0502i −1.70946 + 0.0770159i
\(52\) −498.621 + 96.6204i −1.32974 + 0.257670i
\(53\) 387.340i 1.00387i −0.864904 0.501937i \(-0.832621\pi\)
0.864904 0.501937i \(-0.167379\pi\)
\(54\) −46.8329 + 394.044i −0.118021 + 0.993011i
\(55\) 35.4087i 0.0868092i
\(56\) 368.593 + 499.037i 0.879559 + 1.19083i
\(57\) −355.464 556.261i −0.826007 1.29261i
\(58\) 14.2296 10.1436i 0.0322144 0.0229641i
\(59\) −226.362 82.3891i −0.499489 0.181799i 0.0799750 0.996797i \(-0.474516\pi\)
−0.579464 + 0.814998i \(0.696738\pi\)
\(60\) −68.2169 + 16.4356i −0.146779 + 0.0353637i
\(61\) 5.95679 33.7827i 0.0125031 0.0709086i −0.977918 0.208990i \(-0.932982\pi\)
0.990421 + 0.138081i \(0.0440935\pi\)
\(62\) 521.256 + 41.1767i 1.06774 + 0.0843459i
\(63\) −314.723 670.059i −0.629387 1.33999i
\(64\) 25.9014 + 511.344i 0.0505887 + 0.998720i
\(65\) 36.6530 + 100.703i 0.0699422 + 0.192164i
\(66\) 285.971 + 115.175i 0.533343 + 0.214804i
\(67\) 320.511 + 381.970i 0.584427 + 0.696493i 0.974525 0.224280i \(-0.0720031\pi\)
−0.390097 + 0.920774i \(0.627559\pi\)
\(68\) 959.400 16.1867i 1.71095 0.0288665i
\(69\) 196.606 626.587i 0.343022 1.09322i
\(70\) 91.7796 93.3412i 0.156711 0.159377i
\(71\) 128.146 + 221.955i 0.214199 + 0.371003i 0.953024 0.302894i \(-0.0979527\pi\)
−0.738826 + 0.673897i \(0.764619\pi\)
\(72\) 89.1523 604.400i 0.145926 0.989295i
\(73\) −401.231 + 694.952i −0.643294 + 1.11422i 0.341398 + 0.939919i \(0.389100\pi\)
−0.984693 + 0.174300i \(0.944234\pi\)
\(74\) −52.4263 189.257i −0.0823572 0.297307i
\(75\) −243.709 586.061i −0.375214 0.902300i
\(76\) 522.949 + 871.485i 0.789295 + 1.31534i
\(77\) −566.405 + 99.8724i −0.838283 + 0.147812i
\(78\) −932.531 31.5399i −1.35370 0.0457846i
\(79\) −41.6801 + 49.6724i −0.0593592 + 0.0707416i −0.794907 0.606731i \(-0.792480\pi\)
0.735548 + 0.677473i \(0.236925\pi\)
\(80\) 105.697 22.3378i 0.147717 0.0312181i
\(81\) −245.522 + 686.411i −0.336793 + 0.941579i
\(82\) −145.902 306.119i −0.196490 0.412259i
\(83\) 814.670 + 683.589i 1.07737 + 0.904020i 0.995700 0.0926390i \(-0.0295303\pi\)
0.0816698 + 0.996659i \(0.473975\pi\)
\(84\) 455.317 + 1044.85i 0.591419 + 1.35718i
\(85\) −35.1572 199.386i −0.0448627 0.254429i
\(86\) 13.1642 + 137.135i 0.0165062 + 0.171949i
\(87\) 29.6427 12.3267i 0.0365291 0.0151903i
\(88\) −435.115 189.646i −0.527085 0.229731i
\(89\) −741.208 427.937i −0.882785 0.509676i −0.0112094 0.999937i \(-0.503568\pi\)
−0.871576 + 0.490261i \(0.836901\pi\)
\(90\) −128.900 + 1.44548i −0.150970 + 0.00169297i
\(91\) 1507.49 870.348i 1.73657 1.00261i
\(92\) −329.729 + 955.791i −0.373659 + 1.08313i
\(93\) 916.533 + 287.582i 1.02194 + 0.320655i
\(94\) 588.716 1290.82i 0.645972 1.41636i
\(95\) 164.278 137.845i 0.177416 0.148870i
\(96\) −163.398 + 926.303i −0.173716 + 0.984796i
\(97\) −805.459 + 293.163i −0.843113 + 0.306868i −0.727229 0.686395i \(-0.759192\pi\)
−0.115884 + 0.993263i \(0.536970\pi\)
\(98\) −952.609 655.119i −0.981919 0.675276i
\(99\) 464.845 + 323.567i 0.471906 + 0.328482i
\(100\) 349.667 + 912.504i 0.349667 + 0.912504i
\(101\) −389.016 68.5939i −0.383252 0.0675777i −0.0212971 0.999773i \(-0.506780\pi\)
−0.361955 + 0.932195i \(0.617891\pi\)
\(102\) 1724.66 + 364.610i 1.67418 + 0.353939i
\(103\) 392.130 1077.37i 0.375123 1.03064i −0.598228 0.801326i \(-0.704128\pi\)
0.973352 0.229317i \(-0.0736493\pi\)
\(104\) 1433.79 + 88.9534i 1.35187 + 0.0838712i
\(105\) 202.645 129.496i 0.188344 0.120357i
\(106\) −274.616 + 1060.59i −0.251633 + 0.971824i
\(107\) 259.722 0.234657 0.117328 0.993093i \(-0.462567\pi\)
0.117328 + 0.993093i \(0.462567\pi\)
\(108\) 407.604 1045.74i 0.363164 0.931725i
\(109\) 1874.39 1.64710 0.823548 0.567246i \(-0.191991\pi\)
0.823548 + 0.567246i \(0.191991\pi\)
\(110\) −25.1040 + 96.9535i −0.0217598 + 0.0840378i
\(111\) −16.2378 360.416i −0.0138849 0.308191i
\(112\) −655.447 1627.75i −0.552982 1.37329i
\(113\) −159.926 + 439.394i −0.133138 + 0.365794i −0.988291 0.152582i \(-0.951241\pi\)
0.855153 + 0.518376i \(0.173463\pi\)
\(114\) 578.930 + 1775.13i 0.475629 + 1.45839i
\(115\) 210.094 + 37.0453i 0.170360 + 0.0300391i
\(116\) −46.1540 + 17.6860i −0.0369422 + 0.0141561i
\(117\) −1656.97 439.052i −1.30929 0.346927i
\(118\) 561.397 + 386.078i 0.437973 + 0.301198i
\(119\) −3090.26 + 1124.76i −2.38054 + 0.866445i
\(120\) 198.439 + 3.36166i 0.150958 + 0.00255730i
\(121\) −682.529 + 572.710i −0.512794 + 0.430285i
\(122\) −40.2617 + 88.2780i −0.0298781 + 0.0655108i
\(123\) −135.684 608.032i −0.0994651 0.445727i
\(124\) −1398.07 482.307i −1.01250 0.349294i
\(125\) 361.297 208.595i 0.258523 0.149259i
\(126\) 386.694 + 2057.84i 0.273408 + 1.45498i
\(127\) 452.825 + 261.439i 0.316391 + 0.182669i 0.649783 0.760120i \(-0.274860\pi\)
−0.333392 + 0.942788i \(0.608193\pi\)
\(128\) 291.612 1418.49i 0.201368 0.979516i
\(129\) −32.6863 + 250.971i −0.0223091 + 0.171293i
\(130\) −28.9640 301.724i −0.0195408 0.203561i
\(131\) −303.903 1723.52i −0.202688 1.14950i −0.901037 0.433743i \(-0.857193\pi\)
0.698349 0.715758i \(1.74608\pi\)
\(132\) −701.369 518.111i −0.462472 0.341635i
\(133\) −2668.36 2239.02i −1.73967 1.45976i
\(134\) −606.791 1273.12i −0.391185 0.820751i
\(135\) −231.418 50.2932i −0.147535 0.0320633i
\(136\) −2638.44 635.874i −1.66356 0.400925i
\(137\) −1113.97 + 1327.57i −0.694691 + 0.827900i −0.991915 0.126908i \(-0.959495\pi\)
0.297224 + 0.954808i \(0.403939\pi\)
\(138\) −982.569 + 1576.29i −0.606100 + 0.972336i
\(139\) 1138.78 200.797i 0.694891 0.122528i 0.184964 0.982745i \(-0.440783\pi\)
0.509928 + 0.860217i \(0.329672\pi\)
\(140\) −317.481 + 190.510i −0.191658 + 0.115007i
\(141\) 1583.79 2069.98i 0.945951 1.23634i
\(142\) −193.518 698.594i −0.114364 0.412850i
\(143\) −665.874 + 1153.33i −0.389393 + 0.674448i
\(144\) −672.618 + 1591.72i −0.389247 + 0.921134i
\(145\) 5.21450 + 9.03179i 0.00298649 + 0.00517275i
\(146\) 1591.33 1618.40i 0.902050 0.917397i
\(147\) −1437.10 1563.95i −0.806324 0.877498i
\(148\) 9.37020 + 555.380i 0.00520423 + 0.308459i
\(149\) 247.993 + 295.546i 0.136351 + 0.162497i 0.829899 0.557913i \(-0.188398\pi\)
−0.693548 + 0.720411i \(0.743953\pi\)
\(150\) 251.800 + 1777.49i 0.137063 + 0.967545i
\(151\) 793.932 + 2181.31i 0.427876 + 1.17558i 0.947099 + 0.320941i \(0.103999\pi\)
−0.519223 + 0.854639i \(0.673779\pi\)
\(152\) −814.037 2757.00i −0.434389 1.47120i
\(153\) 2938.81 + 1360.46i 1.55287 + 0.718868i
\(154\) 1621.70 + 128.106i 0.848571 + 0.0670330i
\(155\) −54.1876 + 307.313i −0.0280803 + 0.159251i
\(156\) 2531.03 + 747.507i 1.29900 + 0.383644i
\(157\) 2084.42 + 758.666i 1.05958 + 0.385657i 0.812272 0.583279i \(-0.198231\pi\)
0.247312 + 0.968936i \(0.420453\pi\)
\(158\) 149.342 106.459i 0.0751964 0.0536040i
\(159\) −926.871 + 1786.56i −0.462300 + 0.891089i
\(160\) −305.250 13.7734i −0.150826 0.00680554i
\(161\) 3465.20i 1.69625i
\(162\) 1158.92 1705.41i 0.562059 0.827097i
\(163\) 1947.66i 0.935903i 0.883754 + 0.467952i \(0.155008\pi\)
−0.883754 + 0.467952i \(0.844992\pi\)
\(164\) 182.466 + 941.636i 0.0868791 + 0.448350i
\(165\) −84.7298 + 163.318i −0.0399770 + 0.0770563i
\(166\) −1746.02 2449.34i −0.816370 1.14522i
\(167\) 726.150 + 264.297i 0.336474 + 0.122467i 0.504731 0.863277i \(-0.331592\pi\)
−0.168257 + 0.985743i \(0.553814\pi\)
\(168\) −505.936 3183.75i −0.232344 1.46210i
\(169\) 318.401 1805.74i 0.144925 0.821913i
\(170\) −45.0960 + 570.871i −0.0203453 + 0.257552i
\(171\) 308.452 + 3416.28i 0.137941 + 1.52777i
\(172\) 61.1805 384.826i 0.0271219 0.170597i
\(173\) 71.9040 + 197.554i 0.0315997 + 0.0868196i 0.954489 0.298245i \(-0.0964013\pi\)
−0.922890 + 0.385065i \(0.874179\pi\)
\(174\) −89.9048 + 12.7359i −0.0391705 + 0.00554890i
\(175\) −2152.79 2565.59i −0.929917 1.10823i
\(176\) 1056.95 + 827.764i 0.452672 + 0.354518i
\(177\) 846.917 + 921.674i 0.359651 + 0.391397i
\(178\) 1726.12 + 1697.25i 0.726845 + 0.714685i
\(179\) −1226.98 2125.20i −0.512341 0.887400i −0.999898 0.0143089i \(-0.995445\pi\)
0.487557 0.873091i \(1.66211\pi\)
\(180\) 353.970 + 87.4298i 0.146574 + 0.0362035i
\(181\) −1103.97 + 1912.13i −0.453355 + 0.785235i −0.998592 0.0530475i \(-0.983107\pi\)
0.545237 + 0.838282i \(0.316440\pi\)
\(182\) −4744.75 + 1314.35i −1.93244 + 0.535307i
\(183\) −108.314 + 141.564i −0.0437529 + 0.0571843i
\(184\) 1580.48 2383.31i 0.633230 0.954890i
\(185\) 115.421 20.3519i 0.0458700 0.00808812i
\(186\) −2305.69 1437.24i −0.908934 0.566579i
\(187\) 1617.25 1927.36i 0.632432 0.753703i
\(188\) −2527.15 + 3117.05i −0.980378 + 1.20922i
\(189\) −151.771 + 3843.66i −0.0584113 + 1.47929i
\(190\) −547.543 + 260.969i −0.209068 + 0.0996456i
\(191\) 926.455 + 777.388i 0.350973 + 0.294502i 0.801181 0.598422i \(-0.204206\pi\)
−0.450207 + 0.892924i \(0.648650\pi\)
\(192\) 1104.13 2420.49i 0.415021 0.909812i
\(193\) −128.532 728.938i −0.0479373 0.271866i 0.951413 0.307919i \(-0.0996326\pi\)
−0.999350 + 0.0360530i \(0.988521\pi\)
\(194\) 2413.30 231.664i 0.893117 0.0857345i
\(195\) 71.9166 552.188i 0.0264106 0.202785i
\(196\) 2143.90 + 2469.18i 0.781305 + 0.899847i
\(197\) 2346.49 + 1354.75i 0.848632 + 0.489958i 0.860189 0.509975i \(-0.170345\pi\)
−0.0115571 + 0.999933i \(0.503679\pi\)
\(198\) −1043.40 1215.53i −0.374502 0.436284i
\(199\) −1001.54 + 578.241i −0.356771 + 0.205982i −0.667663 0.744463i \(-0.732705\pi\)
0.310892 + 0.950445i \(0.399372\pi\)
\(200\) −310.486 2746.46i −0.109773 0.971020i
\(201\) −564.295 2528.74i −0.198021 0.887381i
\(202\) 1016.54 + 463.623i 0.354078 + 0.161487i
\(203\) 129.766 108.887i 0.0448661 0.0376471i
\(204\) −4463.84 2221.10i −1.53202 0.762294i
\(205\) 190.176 69.2184i 0.0647925 0.0235825i
\(206\) −1837.53 + 2671.96i −0.621491 + 0.903710i
\(207\) −2406.19 + 2419.59i −0.807930 + 0.812432i
\(208\) −3862.84 1260.09i −1.28769 0.420057i
\(209\) 2624.47 + 462.764i 0.868603 + 0.153158i
\(210\) −646.679 + 210.904i −0.212500 + 0.0693035i
\(211\) −82.7861 + 227.453i −0.0270106 + 0.0742110i −0.952465 0.304648i \(-0.901461\pi\)
0.925454 + 0.378859i \(0.123683\pi\)
\(212\) 1503.87 2709.33i 0.487199 0.877723i
\(213\) −59.9375 1330.38i −0.0192810 0.427963i
\(214\) −711.151 184.138i −0.227165 0.0588195i
\(215\) −82.2180 −0.0260801
\(216\) −1857.48 + 2574.39i −0.585118 + 0.810948i
\(217\) 5068.68 1.58564
\(218\) −5132.31 1328.90i −1.59451 0.412865i
\(219\) 3513.58 2245.27i 1.08414 0.692791i
\(220\) 137.476 247.673i 0.0421302 0.0759005i
\(221\) −2604.40 + 7155.53i −0.792719 + 2.17798i
\(222\) −211.066 + 998.377i −0.0638102 + 0.301832i
\(223\) 235.485 + 41.5224i 0.0707141 + 0.0124688i 0.208893 0.977938i \(-0.433014\pi\)
−0.138179 + 0.990407i \(0.544125\pi\)
\(224\) 640.654 + 4921.69i 0.191096 + 1.46806i
\(225\) −278.316 + 3286.30i −0.0824639 + 0.973720i
\(226\) 749.420 1089.73i 0.220578 0.320743i
\(227\) 5305.35 1930.99i 1.55123 0.564600i 0.582522 0.812815i \(-0.302066\pi\)
0.968705 + 0.248215i \(0.0798439\pi\)
\(228\) −326.652 5270.98i −0.0948818 1.53105i
\(229\) −3509.57 + 2944.88i −1.01275 + 0.849796i −0.988699 0.149915i \(-0.952100\pi\)
−0.0240486 + 0.999711i \(0.507656\pi\)
\(230\) −549.001 250.387i −0.157391 0.0717829i
\(231\) 2851.45 + 894.707i 0.812173 + 0.254837i
\(232\) 138.915 15.7042i 0.0393112 0.00444411i
\(233\) 1688.47 974.836i 0.474743 0.274093i −0.243480 0.969906i \(-0.578289\pi\)
0.718223 + 0.695813i \(0.244956\pi\)
\(234\) 4225.71 + 2376.94i 1.18053 + 0.664040i
\(235\) 733.262 + 423.349i 0.203544 + 0.117516i
\(236\) −1263.45 1455.15i −0.348491 0.401366i
\(237\) 311.106 129.371i 0.0852680 0.0354580i
\(238\) 9258.97 888.813i 2.52172 0.242072i
\(239\) 36.5848 + 207.483i 0.00990156 + 0.0561545i 0.989358 0.145500i \(-0.0464792\pi\)
−0.979457 + 0.201655i \(0.935368\pi\)
\(240\) −540.968 149.894i −0.145497 0.0403151i
\(241\) 1757.34 + 1474.58i 0.469711 + 0.394134i 0.846689 0.532088i \(-0.178592\pi\)
−0.376978 + 0.926222i \(0.623037\pi\)
\(242\) 2274.89 1084.25i 0.604279 0.288010i
\(243\) 2774.96 2578.47i 0.732567 0.680695i
\(244\) 172.829 213.172i 0.0453453 0.0559300i
\(245\) 443.510 528.554i 0.115652 0.137829i
\(246\) −59.5626 + 1761.07i −0.0154373 + 0.456429i
\(247\) −7943.07 + 1400.58i −2.04618 + 0.360796i
\(248\) 3486.16 + 2311.82i 0.892625 + 0.591939i
\(249\) −2121.79 5102.40i −0.540013 1.29860i
\(250\) −1137.17 + 315.008i −0.287683 + 0.0796913i
\(251\) −995.999 + 1725.12i −0.250466 + 0.433819i −0.963654 0.267153i \(-0.913917\pi\)
0.713188 + 0.700972i \(0.247250\pi\)
\(252\) 400.150 5908.79i 0.100028 1.47706i
\(253\) 1325.55 + 2295.93i 0.329395 + 0.570528i
\(254\) −1054.54 1036.90i −0.260502 0.256144i
\(255\) −314.956 + 1003.77i −0.0773462 + 0.246504i
\(256\) −1804.15 + 3677.26i −0.440467 + 0.897769i
\(257\) −1706.04 2033.18i −0.414085 0.493487i 0.518176 0.855274i \(-0.326611\pi\)
−0.932261 + 0.361787i \(0.882167\pi\)
\(258\) 267.433 664.017i 0.0645335 0.160232i
\(259\) −651.107 1788.90i −0.156208 0.429177i
\(260\) −134.610 + 846.695i −0.0321082 + 0.201961i
\(261\) −166.220 14.0771i −0.0394204 0.00333850i
\(262\) −389.816 + 4934.68i −0.0919194 + 1.16361i
\(263\) 134.878 764.930i 0.0316233 0.179344i −0.964905 0.262599i \(-0.915420\pi\)
0.996528 + 0.0832546i \(0.0265315\pi\)
\(264\) 1553.11 + 1915.91i 0.362073 + 0.446652i
\(265\) −614.400 223.623i −0.142424 0.0518380i
\(266\) 5718.89 + 8022.54i 1.31822 + 1.84922i
\(267\) 2394.71 + 3747.45i 0.548891 + 0.858951i
\(268\) 758.855 + 3916.16i 0.172964 + 0.892604i
\(269\) 8125.93i 1.84181i −0.389787 0.920905i \(-0.627451\pi\)
0.389787 0.920905i \(-0.372549\pi\)
\(270\) 597.995 + 301.780i 0.134788 + 0.0680212i
\(271\) 4310.13i 0.966132i 0.875584 + 0.483066i \(0.160477\pi\)
−0.875584 + 0.483066i \(0.839523\pi\)
\(272\) 6773.55 + 3611.70i 1.50995 + 0.805116i
\(273\) −9035.76 + 407.087i −2.00318 + 0.0902492i
\(274\) 3991.41 2845.29i 0.880036 0.627336i
\(275\) 2407.79 + 876.364i 0.527983 + 0.192170i
\(276\) 3807.96 3619.45i 0.830478 0.789368i
\(277\) 1408.76 7989.50i 0.305576 1.73301i −0.315207 0.949023i \(-0.602074\pi\)
0.620783 0.783983i \(-0.286815\pi\)
\(278\) −3260.48 257.562i −0.703420 0.0555667i
\(279\) −3539.23 3519.62i −0.759456 0.755248i
\(280\) 1004.37 296.553i 0.214367 0.0632945i
\(281\) 2730.60 + 7502.27i 0.579694 + 1.59270i 0.788697 + 0.614782i \(0.210756\pi\)
−0.209003 + 0.977915i \(0.567022\pi\)
\(282\) −5804.20 + 4545.00i −1.22566 + 0.959755i
\(283\) −3243.16 3865.05i −0.681223 0.811850i 0.309042 0.951049i \(-0.399992\pi\)
−0.990264 + 0.139199i \(0.955547\pi\)
\(284\) 34.5877 + 2050.04i 0.00722676 + 0.428336i
\(285\) −1087.56 + 242.692i −0.226041 + 0.0504416i
\(286\) 2640.93 2685.87i 0.546020 0.555310i
\(287\) −1643.64 2846.86i −0.338051 0.585522i
\(288\) 2970.21 3881.46i 0.607713 0.794156i
\(289\) 4736.54 8203.94i 0.964084 1.66984i
\(290\) −7.87462 28.4272i −0.00159453 0.00575621i
\(291\) 4416.59 + 575.214i 0.889708 + 0.115875i
\(292\) −5504.68 + 3303.18i −1.10321 + 0.661999i
\(293\) −3699.53 + 652.327i −0.737642 + 0.130066i −0.529831 0.848103i \(-0.677745\pi\)
−0.207810 + 0.978169i \(0.566634\pi\)
\(294\) 2826.15 + 5301.16i 0.560626 + 1.05160i
\(295\) −261.372 + 311.491i −0.0515852 + 0.0614769i
\(296\) 368.097 1527.35i 0.0722810 0.299916i
\(297\) −1369.77 2604.74i −0.267617 0.508897i
\(298\) −469.500 985.066i −0.0912664 0.191488i
\(299\) −6146.52 5157.54i −1.18884 0.997553i
\(300\) 570.746 5045.53i 0.109840 0.971012i
\(301\) 231.901 + 1315.18i 0.0444072 + 0.251845i
\(302\) −627.382 6535.59i −0.119542 1.24530i
\(303\) 1630.15 + 1247.26i 0.309074 + 0.236479i
\(304\) 274.282 + 8126.15i 0.0517472 + 1.53311i
\(305\) −50.1471 28.9524i −0.00941447 0.00543545i
\(306\) −7082.30 5808.68i −1.32310 1.08516i
\(307\) −8224.21 + 4748.25i −1.52893 + 0.882726i −0.529519 + 0.848298i \(0.677628\pi\)
−0.999407 + 0.0344278i \(0.989039\pi\)
\(308\) −4349.59 1500.52i −0.804678 0.277598i
\(309\) −4386.69 + 4030.89i −0.807606 + 0.742101i
\(310\) 366.251 803.044i 0.0671022 0.147129i
\(311\) 2931.83 2460.10i 0.534562 0.448550i −0.335112 0.942178i \(-0.608774\pi\)
0.869673 + 0.493628i \(0.164330\pi\)
\(312\) −6400.32 3841.22i −1.16137 0.697007i
\(313\) −7361.31 + 2679.30i −1.32935 + 0.483843i −0.906442 0.422330i \(-0.861212\pi\)
−0.422906 + 0.906173i \(0.638990\pi\)
\(314\) −5169.52 3555.13i −0.929086 0.638942i
\(315\) −1244.55 + 112.369i −0.222610 + 0.0200993i
\(316\) −484.396 + 185.618i −0.0862323 + 0.0330438i
\(317\) 2548.97 + 449.452i 0.451623 + 0.0796333i 0.394833 0.918753i \(-0.370802\pi\)
0.0567898 + 0.998386i \(0.481914\pi\)
\(318\) 3804.52 4234.69i 0.670903 0.746760i
\(319\) −44.3261 + 121.785i −0.00777989 + 0.0213751i
\(320\) 826.049 + 254.130i 0.144305 + 0.0443946i
\(321\) −1197.93 621.491i −0.208293 0.108063i
\(322\) −2456.76 + 9488.17i −0.425186 + 1.64210i
\(323\) 15237.8 2.62494
\(324\) −4382.38 + 3847.98i −0.751437 + 0.659805i
\(325\) −7754.98 −1.32360
\(326\) 1380.85 5332.93i 0.234596 0.906024i
\(327\) −8645.36 4485.24i −1.46205 0.758514i
\(328\) 167.987 2707.68i 0.0282790 0.455814i
\(329\) 4703.77 12923.5i 0.788228 2.16564i
\(330\) 347.790 387.114i 0.0580158 0.0645755i
\(331\) −3374.65 595.041i −0.560385 0.0988109i −0.113721 0.993513i \(-0.536277\pi\)
−0.446664 + 0.894702i \(0.647388\pi\)
\(332\) 3044.29 + 7944.50i 0.503245 + 1.31329i
\(333\) −787.548 + 1701.23i −0.129602 + 0.279960i
\(334\) −1800.91 1238.50i −0.295034 0.202898i
\(335\) 790.922 287.872i 0.128993 0.0469496i
\(336\) −871.900 + 9076.23i −0.141566 + 1.47366i
\(337\) −6997.60 + 5871.69i −1.13111 + 0.949113i −0.999112 0.0421371i \(-0.986583\pi\)
−0.131997 + 0.991250i \(0.542139\pi\)
\(338\) −2152.06 + 4718.62i −0.346321 + 0.759346i
\(339\) 1789.07 1643.96i 0.286634 0.263385i
\(340\) 528.215 1531.15i 0.0842543 0.244230i
\(341\) −3358.34 + 1938.94i −0.533326 + 0.307916i
\(342\) 1577.49 9572.89i 0.249418 1.51357i
\(343\) −1561.34 901.441i −0.245786 0.141904i
\(344\) −440.354 + 1010.33i −0.0690183 + 0.158352i
\(345\) −880.387 673.604i −0.137387 0.105118i
\(346\) −56.8201 591.908i −0.00882851 0.0919687i
\(347\) −852.153 4832.80i −0.131833 0.747660i −0.977013 0.213179i \(-0.931618\pi\)
0.845180 0.534481i \(1.82051\pi\)
\(348\) 255.200 + 28.8681i 0.0393109 + 0.00444681i
\(349\) −7703.54 6464.04i −1.18155 0.991438i −0.999967 0.00806240i \(-0.997434\pi\)
−0.181582 0.983376i \(-0.558122\pi\)
\(350\) 4075.66 + 8551.21i 0.622437 + 1.30595i
\(351\) 6591.94 + 5990.05i 1.00243 + 0.910898i
\(352\) −2307.19 3015.88i −0.349356 0.456667i
\(353\) 5624.64 6703.18i 0.848071 1.01069i −0.151681 0.988430i \(-0.548469\pi\)
0.999752 0.0222626i \(-0.00708698\pi\)
\(354\) −1665.52 3124.11i −0.250060 0.469052i
\(355\) 426.048 75.1237i 0.0636965 0.0112314i
\(356\) −3523.03 5871.07i −0.524496 0.874062i
\(357\) 16944.9 + 2206.89i 2.51210 + 0.327174i
\(358\) 1852.91 + 6688.97i 0.273546 + 0.987494i
\(359\) 1201.49 2081.04i 0.176636 0.305942i −0.764090 0.645109i \(-0.776812\pi\)
0.940726 + 0.339167i \(0.110145\pi\)
\(360\) −907.230 490.352i −0.132820 0.0717884i
\(361\) 4640.52 + 8037.61i 0.676559 + 1.17183i
\(362\) 4378.47 4452.96i 0.635711 0.646527i
\(363\) 4518.52 1008.32i 0.653336 0.145794i
\(364\) 13923.6 234.914i 2.00493 0.0338265i
\(365\) 870.691 + 1037.65i 0.124860 + 0.148803i
\(366\) 396.943 310.828i 0.0566901 0.0443914i
\(367\) 1016.13 + 2791.79i 0.144527 + 0.397085i 0.990742 0.135757i \(-0.0433465\pi\)
−0.846215 + 0.532841i \(0.821124\pi\)
\(368\) −6017.27 + 5405.28i −0.852369 + 0.765678i
\(369\) −829.142 + 3129.15i −0.116974 + 0.441455i
\(370\) −330.468 26.1053i −0.0464330 0.00366798i
\(371\) −1844.17 + 10458.8i −0.258072 + 1.46360i
\(372\) 5294.31 + 5570.04i 0.737896 + 0.776326i
\(373\) 1407.66 + 512.348i 0.195405 + 0.0711216i 0.437869 0.899039i \(-0.355733\pi\)
−0.242464 + 0.970160i \(0.577956\pi\)
\(374\) −5794.69 + 4130.76i −0.801166 + 0.571114i
\(375\) −2165.59 + 97.5660i −0.298215 + 0.0134354i
\(376\) 9129.57 6743.18i 1.25219 0.924874i
\(377\) 392.243i 0.0535850i
\(378\) 3140.65 10416.8i 0.427348 1.41742i
\(379\) 10976.3i 1.48764i −0.668382 0.743819i \(-0.733013\pi\)
0.668382 0.743819i \(-0.266987\pi\)
\(380\) 1684.27 326.369i 0.227371 0.0440588i
\(381\) −1463.00 2289.42i −0.196724 0.307849i
\(382\) −1985.60 2785.43i −0.265948 0.373075i
\(383\) −13121.5 4775.82i −1.75059 0.637162i −0.750860 0.660461i \(-0.770361\pi\)
−0.999729 + 0.0232986i \(0.992583\pi\)
\(384\) −4739.34 + 5844.80i −0.629827 + 0.776735i
\(385\) −168.585 + 956.091i −0.0223165 + 0.126563i
\(386\) −164.867 + 2087.05i −0.0217397 + 0.275203i
\(387\) 751.313 1079.36i 0.0986858 0.141775i
\(388\) −6772.16 1076.65i −0.886094 0.140873i
\(389\) 1155.37 + 3174.37i 0.150591 + 0.413745i 0.991934 0.126757i \(-0.0404567\pi\)
−0.841343 + 0.540502i \(0.818235\pi\)
\(390\) −588.407 + 1460.97i −0.0763978 + 0.189690i
\(391\) 9743.82 + 11612.2i 1.26027 + 1.50193i
\(392\) −4119.67 8280.92i −0.530803 1.06696i
\(393\) −2722.52 + 8676.73i −0.349447 + 1.11370i
\(394\) −5464.50 5373.09i −0.698725 0.687036i
\(395\) 54.7273 + 94.7905i 0.00697121 + 0.0120745i
\(396\) 1995.18 + 4068.04i 0.253186 + 0.516229i
\(397\) 5565.07 9638.99i 0.703534 1.21856i −0.263684 0.964609i \(-0.584938\pi\)
0.967218 0.253947i \(-0.0817290\pi\)
\(398\) 3152.31 873.224i 0.397013 0.109977i
\(399\) 6949.69 + 16712.3i 0.871980 + 2.09690i
\(400\) −1097.03 + 7740.29i −0.137129 + 0.967536i
\(401\) −14290.1 + 2519.74i −1.77959 + 0.313790i −0.964211 0.265137i \(-0.914583\pi\)
−0.815380 + 0.578927i \(0.803472\pi\)
\(402\) −247.714 + 7324.09i −0.0307335 + 0.908688i
\(403\) 7544.13 8990.75i 0.932506 1.11132i
\(404\) −2454.72 1990.17i −0.302295 0.245086i
\(405\) 947.039 + 785.733i 0.116194 + 0.0964035i
\(406\) −432.516 + 206.145i −0.0528705 + 0.0251990i
\(407\) 1115.72 + 936.196i 0.135882 + 0.114018i
\(408\) 10647.9 + 9246.43i 1.29203 + 1.12198i
\(409\) 345.750 + 1960.84i 0.0418001 + 0.237060i 0.998549 0.0538558i \(-0.0171511\pi\)
−0.956749 + 0.290916i \(0.906040\pi\)
\(410\) −569.801 + 54.6979i −0.0686352 + 0.00658862i
\(411\) 8314.80 3457.64i 0.997905 0.414971i
\(412\) 6925.77 6013.39i 0.828175 0.719074i
\(413\) 5719.88 + 3302.38i 0.681494 + 0.393461i
\(414\) 8303.89 4919.22i 0.985782 0.583977i
\(415\) 1554.64 897.574i 0.183890 0.106169i
\(416\) 9683.56 + 6188.97i 1.14129 + 0.729422i
\(417\) −5732.96 1798.84i −0.673247 0.211246i
\(418\) −6858.03 3127.80i −0.802482 0.365995i
\(419\) 1440.21 1208.48i 0.167921 0.140903i −0.554955 0.831881i \(-0.687264\pi\)
0.722876 + 0.690978i \(0.242820\pi\)
\(420\) 1920.22 118.999i 0.223088 0.0138251i
\(421\) 10224.2 3721.30i 1.18360 0.430796i 0.326129 0.945325i \(-0.394256\pi\)
0.857473 + 0.514529i \(0.172033\pi\)
\(422\) 387.939 564.102i 0.0447501 0.0650712i
\(423\) −12258.3 + 5757.66i −1.40903 + 0.661814i
\(424\) −6038.65 + 6352.27i −0.691657 + 0.727579i
\(425\) 14428.4 + 2544.12i 1.64678 + 0.290372i
\(426\) −779.097 + 3685.25i −0.0886088 + 0.419133i
\(427\) −321.686 + 883.825i −0.0364578 + 0.100167i
\(428\) 1816.67 + 1008.38i 0.205169 + 0.113883i
\(429\) 5831.07 3726.20i 0.656239 0.419353i
\(430\) 225.123 + 58.2909i 0.0252475 + 0.00653730i
\(431\) 6301.79 0.704285 0.352142 0.935946i \(-0.385453\pi\)
0.352142 + 0.935946i \(0.385453\pi\)
\(432\) 6911.21 5732.08i 0.769712 0.638391i
\(433\) 8307.98 0.922069 0.461034 0.887382i \(-0.347478\pi\)
0.461034 + 0.887382i \(0.347478\pi\)
\(434\) −13878.7 3593.59i −1.53502 0.397461i
\(435\) −2.43897 54.1358i −0.000268827 0.00596693i
\(436\) 13110.8 + 7277.41i 1.44012 + 0.799368i
\(437\) −5491.54 + 15087.9i −0.601135 + 1.65161i
\(438\) −11212.5 + 3656.77i −1.22318 + 0.398921i
\(439\) −14417.6 2542.21i −1.56746 0.276385i −0.678578 0.734528i \(-0.737404\pi\)
−0.888878 + 0.458143i \(0.848515\pi\)
\(440\) −552.023 + 580.692i −0.0598106 + 0.0629169i
\(441\) 2886.03 + 10652.4i 0.311633 + 1.15024i
\(442\) 12204.3 17746.3i 1.31335 1.90974i
\(443\) −11644.3 + 4238.18i −1.24884 + 0.454542i −0.880010 0.474955i \(-0.842465\pi\)
−0.368832 + 0.929496i \(0.620242\pi\)
\(444\) 1285.76 2584.04i 0.137431 0.276201i
\(445\) −1106.72 + 928.644i −0.117895 + 0.0989257i
\(446\) −615.350 280.648i −0.0653311 0.0297961i
\(447\) −436.619 1956.59i −0.0462000 0.207033i
\(448\) 1735.19 13930.4i 0.182991 1.46909i
\(449\) −8028.13 + 4635.04i −0.843811 + 0.487174i −0.858558 0.512717i \(-0.828639\pi\)
0.0147470 + 0.999891i \(0.495306\pi\)
\(450\) 3091.99 8801.00i 0.323906 0.921963i
\(451\) 2178.04 + 1257.49i 0.227405 + 0.131292i
\(452\) −2824.61 + 2452.50i −0.293934 + 0.255212i
\(453\) 1557.77 11960.8i 0.161568 1.24055i
\(454\) −15895.8 + 1525.91i −1.64323 + 0.157741i
\(455\) −510.230 2893.66i −0.0525713 0.298147i
\(456\) −2842.61 + 14664.2i −0.291924 + 1.50595i
\(457\) 13537.0 + 11358.9i 1.38563 + 1.16268i 0.967074 + 0.254495i \(0.0819092\pi\)
0.418559 + 0.908190i \(0.362535\pi\)
\(458\) 11697.5 5575.25i 1.19343 0.568808i
\(459\) −10299.4 13307.3i −1.04735 1.35322i
\(460\) 1325.72 + 1074.82i 0.134373 + 0.108943i
\(461\) −5605.73 + 6680.65i −0.566345 + 0.674943i −0.970876 0.239581i \(-0.922990\pi\)
0.404532 + 0.914524i \(0.367434\pi\)
\(462\) −7173.32 4471.45i −0.722366 0.450283i
\(463\) 7185.47 1266.99i 0.721247 0.127175i 0.199037 0.979992i \(-0.436219\pi\)
0.522210 + 0.852817i \(0.325108\pi\)
\(464\) −391.500 55.4875i −0.0391701 0.00555160i
\(465\) 985.306 1287.78i 0.0982634 0.128428i
\(466\) −5314.38 + 1472.14i −0.528291 + 0.146342i
\(467\) −3630.53 + 6288.26i −0.359745 + 0.623096i −0.987918 0.154978i \(-0.950469\pi\)
0.628173 + 0.778073i \(0.283803\pi\)
\(468\) −9885.33 9504.31i −0.976388 0.938754i
\(469\) −6835.71 11839.8i −0.673014 1.16569i
\(470\) −1707.62 1679.05i −0.167588 0.164785i
\(471\) −7798.69 8487.07i −0.762940 0.830284i
\(472\) 2427.83 + 4880.16i 0.236758 + 0.475905i
\(473\) −656.748 782.682i −0.0638421 0.0760841i
\(474\) −943.570 + 133.666i −0.0914337 + 0.0129525i
\(475\) 5307.62 + 14582.6i 0.512695 + 1.40862i
\(476\) −25982.4 4130.74i −2.50189 0.397757i
\(477\) 8550.14 6022.35i 0.820722 0.578080i
\(478\) 46.9272 594.052i 0.00449038 0.0568437i
\(479\) 1564.03 8870.05i 0.149191 0.846102i −0.814716 0.579861i \(-0.803107\pi\)
0.963906 0.266241i \(-0.0857819\pi\)
\(480\) 1374.97 + 793.965i 0.130747 + 0.0754987i
\(481\) −4142.22 1507.64i −0.392659 0.142916i
\(482\) −3766.37 5283.52i −0.355920 0.499290i
\(483\) −8291.92 + 15982.8i −0.781150 + 1.50568i
\(484\) −6997.66 + 1355.97i −0.657181 + 0.127345i
\(485\) 1446.87i 0.135462i
\(486\) −9426.28 + 5092.79i −0.879804 + 0.475337i
\(487\) 4932.53i 0.458962i 0.973313 + 0.229481i \(0.0737029\pi\)
−0.973313 + 0.229481i \(0.926297\pi\)
\(488\) −624.363 + 461.159i −0.0579172 + 0.0427781i
\(489\) 4660.57 8983.32i 0.430998 0.830756i
\(490\) −1589.12 + 1132.81i −0.146509 + 0.104439i
\(491\) −4442.01 1616.76i −0.408279 0.148601i 0.129712 0.991552i \(-0.458595\pi\)
−0.537992 + 0.842950i \(0.680817\pi\)
\(492\) 1411.65 4779.80i 0.129354 0.437988i
\(493\) −128.680 + 729.782i −0.0117555 + 0.0666688i
\(494\) 22742.1 + 1796.52i 2.07129 + 0.163622i
\(495\) 781.611 550.532i 0.0709713 0.0499891i
\(496\) −7906.50 8801.69i −0.715751 0.796789i
\(497\) −2403.39 6603.26i −0.216915 0.595969i
\(498\) 2192.24 + 15475.3i 0.197262 + 1.39250i
\(499\) 2106.26 + 2510.15i 0.188956 + 0.225190i 0.852203 0.523212i \(-0.175266\pi\)
−0.663246 + 0.748401i \(0.730822\pi\)
\(500\) 3337.05 56.3016i 0.298475 0.00503577i
\(501\) −2716.83 2956.65i −0.242274 0.263659i
\(502\) 3950.25 4017.46i 0.351212 0.357187i
\(503\) 3857.08 + 6680.67i 0.341906 + 0.592199i 0.984787 0.173767i \(-0.0555941\pi\)
−0.642880 + 0.765967i \(0.722261\pi\)
\(504\) −5284.87 + 15895.3i −0.467077 + 1.40483i
\(505\) −333.394 + 577.456i −0.0293779 + 0.0508840i
\(506\) −2001.77 7226.33i −0.175869 0.634881i
\(507\) −5789.57 + 7566.86i −0.507147 + 0.662832i
\(508\) 2152.32 + 3586.80i 0.187980 + 0.313265i
\(509\) 7287.07 1284.91i 0.634565 0.111891i 0.152893 0.988243i \(-0.451141\pi\)
0.481672 + 0.876352i \(0.340030\pi\)
\(510\) 1574.04 2525.16i 0.136666 0.219247i
\(511\) 14142.6 16854.5i 1.22433 1.45910i
\(512\) 7547.10 8789.71i 0.651441 0.758699i
\(513\) 6752.15 16495.2i 0.581120 1.41965i
\(514\) 3229.87 + 6776.65i 0.277166 + 0.581528i
\(515\) −1482.53 1243.99i −0.126851 0.106441i
\(516\) −1203.04 + 1628.56i −0.102637 + 0.138941i
\(517\) 1827.10 + 10362.0i 0.155427 + 0.881472i
\(518\) 514.519 + 5359.86i 0.0436422 + 0.454631i
\(519\) 141.082 1083.25i 0.0119322 0.0916177i
\(520\) 968.868 2222.92i 0.0817071 0.187465i
\(521\) −3134.41 1809.65i −0.263572 0.152173i 0.362391 0.932026i \(-0.381961\pi\)
−0.625963 + 0.779853i \(0.715294\pi\)
\(522\) 445.150 + 156.391i 0.0373251 + 0.0131131i
\(523\) 8101.14 4677.19i 0.677319 0.391050i −0.121525 0.992588i \(-0.538778\pi\)
0.798844 + 0.601538i \(0.205445\pi\)
\(524\) 4565.96 13235.4i 0.380658 1.10342i
\(525\) 3790.23 + 16984.9i 0.315084 + 1.41197i
\(526\) −911.633 + 1998.85i −0.0755686 + 0.165692i
\(527\) −16985.7 + 14252.7i −1.40400 + 1.17809i
\(528\) −2894.26 6347.14i −0.238554 0.523151i
\(529\) −3576.27 + 1301.65i −0.293932 + 0.106982i
\(530\) 1523.76 + 1047.91i 0.124883 + 0.0858833i
\(531\) −1700.81 6277.70i −0.139000 0.513049i
\(532\) −9971.24 26021.3i −0.812609 2.12061i
\(533\) −7496.07 1321.76i −0.609176 0.107414i
\(534\) −3900.16 11958.8i −0.316061 0.969115i
\(535\) 149.945 411.971i 0.0121172 0.0332917i
\(536\) 698.639 11261.0i 0.0562997 0.907463i
\(537\) 573.895 + 12738.3i 0.0461181 + 1.02364i
\(538\) −5761.12 + 22249.8i −0.461672 + 1.78301i
\(539\) 8574.33 0.685200
\(540\) −1423.43 1250.28i −0.113435 0.0996360i
\(541\) −916.260 −0.0728154 −0.0364077 0.999337i \(-0.511591\pi\)
−0.0364077 + 0.999337i \(0.511591\pi\)
\(542\) 3055.80 11801.7i 0.242173 0.935288i
\(543\) 9667.47 6177.76i 0.764035 0.488237i
\(544\) −15986.2 14691.6i −1.25993 1.15790i
\(545\) 1082.14 2973.15i 0.0850527 0.233680i
\(546\) 25029.7 + 5291.52i 1.96185 + 0.414755i
\(547\) 8676.31 + 1529.87i 0.678194 + 0.119584i 0.502127 0.864794i \(-0.332551\pi\)
0.176068 + 0.984378i \(0.443662\pi\)
\(548\) −12946.2 + 4960.94i −1.00919 + 0.386717i
\(549\) 838.334 393.761i 0.0651716 0.0306108i
\(550\) −5971.52 4106.67i −0.462957 0.318380i
\(551\) −737.579 + 268.457i −0.0570271 + 0.0207562i
\(552\) −12992.8 + 7210.76i −1.00183 + 0.555997i
\(553\) 1361.93 1142.79i 0.104729 0.0878779i
\(554\) −9521.77 + 20877.5i −0.730219 + 1.60108i
\(555\) −581.067 182.322i −0.0444413 0.0139444i
\(556\) 8745.01 + 3016.85i 0.667034 + 0.230113i
\(557\) 1372.69 792.523i 0.104421 0.0602877i −0.446880 0.894594i \(-0.647465\pi\)
0.551301 + 0.834306i \(0.314132\pi\)
\(558\) 7195.53 + 12146.4i 0.545898 + 0.921503i
\(559\) 2677.99 + 1546.14i 0.202625 + 0.116985i
\(560\) −2960.35 + 99.9207i −0.223389 + 0.00754004i
\(561\) −12071.3 + 5019.77i −0.908471 + 0.377780i
\(562\) −2157.78 22478.1i −0.161958 1.68716i
\(563\) 3333.10 + 18903.0i 0.249509 + 1.41504i 0.809783 + 0.586729i \(0.199585\pi\)
−0.560274 + 0.828307i \(0.689304\pi\)
\(564\) 19115.0 8329.74i 1.42710 0.621889i
\(565\) 604.637 + 507.351i 0.0450217 + 0.0377777i
\(566\) 6139.95 + 12882.3i 0.455974 + 0.956688i
\(567\) 9897.57 17365.2i 0.733085 1.28619i
\(568\) 1358.73 5637.80i 0.100372 0.416473i
\(569\) −256.742 + 305.973i −0.0189159 + 0.0225431i −0.775419 0.631446i \(-0.782462\pi\)
0.756504 + 0.653990i \(0.226906\pi\)
\(570\) 3149.95 + 106.537i 0.231468 + 0.00782868i
\(571\) −348.127 + 61.3842i −0.0255143 + 0.00449886i −0.186391 0.982476i \(-0.559679\pi\)
0.160876 + 0.986975i \(0.448568\pi\)
\(572\) −9135.44 + 5481.88i −0.667783 + 0.400715i
\(573\) −2412.93 5802.53i −0.175919 0.423044i
\(574\) 2482.12 + 8960.37i 0.180491 + 0.651566i
\(575\) −7718.91 + 13369.5i −0.559828 + 0.969650i
\(576\) −10884.7 + 8522.11i −0.787377 + 0.616472i
\(577\) −477.296 826.702i −0.0344369 0.0596465i 0.848293 0.529527i \(-0.177630\pi\)
−0.882730 + 0.469880i \(0.844297\pi\)
\(578\) −18785.7 + 19105.3i −1.35187 + 1.37487i
\(579\) −1151.45 + 3669.70i −0.0826470 + 0.263398i
\(580\) 1.40744 + 83.4202i 0.000100760 + 0.00597213i
\(581\) −18742.8 22336.8i −1.33835 1.59498i
\(582\) −11685.4 4706.28i −0.832258 0.335192i
\(583\) −2778.95 7635.11i −0.197414 0.542391i
\(584\) 17414.4 5141.81i 1.23393 0.364332i
\(585\) −1653.04 + 2374.81i −0.116829 + 0.167840i
\(586\) 10592.3 + 836.739i 0.746695 + 0.0589852i
\(587\) 1745.94 9901.69i 0.122764 0.696229i −0.859847 0.510552i \(-0.829441\pi\)
0.982611 0.185677i \(-0.0594478\pi\)
\(588\) −3979.93 16518.9i −0.279132 1.15855i
\(589\) −22069.6 8032.69i −1.54391 0.561937i
\(590\) 936.509 667.594i 0.0653483 0.0465837i
\(591\) −7581.10 11863.5i −0.527656 0.825720i
\(592\) −2090.75 + 3921.10i −0.145151 + 0.272223i
\(593\) 15212.9i 1.05349i −0.850024 0.526744i \(-0.823413\pi\)
0.850024 0.526744i \(-0.176587\pi\)
\(594\) 1903.90 + 8103.26i 0.131512 + 0.559732i
\(595\) 5551.14i 0.382478i
\(596\) 587.159 + 3030.10i 0.0403540 + 0.208251i
\(597\) 6003.16 270.460i 0.411546 0.0185414i
\(598\) 13173.4 + 18479.8i 0.900834 + 1.26370i
\(599\) 18433.0 + 6709.08i 1.25735 + 0.457639i 0.882880 0.469600i \(-0.155602\pi\)
0.374472 + 0.927238i \(0.377824\pi\)
\(600\) −5139.96 + 13410.7i −0.349730 + 0.912480i
\(601\) 1431.16 8116.51i 0.0971352 0.550881i −0.896937 0.442158i \(-0.854213\pi\)
0.994072 0.108723i \(-0.0346760\pi\)
\(602\) 297.459 3765.53i 0.0201387 0.254936i
\(603\) −3448.31 + 13013.8i −0.232879 + 0.878877i
\(604\) −2915.75 + 18340.1i −0.196424 + 1.23551i
\(605\) 514.388 + 1413.27i 0.0345667 + 0.0949713i
\(606\) −3579.26 4570.90i −0.239930 0.306403i
\(607\) −12747.9 15192.4i −0.852424 1.01588i −0.999641 0.0267750i \(-0.991476\pi\)
0.147218 0.989104i \(1.54703\pi\)
\(608\) 5010.26 22444.9i 0.334199 1.49714i
\(609\) −859.088 + 191.708i −0.0571626 + 0.0127560i
\(610\) 116.782 + 114.829i 0.00775145 + 0.00762177i
\(611\) −15922.5 27578.5i −1.05426 1.82604i
\(612\) 15274.0 + 20926.1i 1.00885 + 1.38217i
\(613\) −8891.82 + 15401.1i −0.585868 + 1.01475i 0.408898 + 0.912580i \(0.365913\pi\)
−0.994767 + 0.102174i \(0.967420\pi\)
\(614\) 25885.4 7170.51i 1.70138 0.471300i
\(615\) −1042.80 135.813i −0.0683733 0.00890490i
\(616\) 10845.9 + 7192.39i 0.709405 + 0.470438i
\(617\) 7956.69 1402.98i 0.519164 0.0915426i 0.0920747 0.995752i \(-0.470650\pi\)
0.427089 + 0.904210i \(0.359539\pi\)
\(618\) 14869.2 7927.02i 0.967840 0.515973i
\(619\) 4169.98 4969.59i 0.270768 0.322689i −0.613476 0.789713i \(-0.710229\pi\)
0.884245 + 0.467024i \(0.154674\pi\)
\(620\) −1572.19 + 1939.17i −0.101840 + 0.125611i
\(621\) 16888.1 5402.28i 1.09130 0.349092i
\(622\) −9771.88 + 4657.45i −0.629930 + 0.300236i
\(623\) 17976.3 + 15083.9i 1.15603 + 0.970025i
\(624\) 14801.5 + 15055.4i 0.949577 + 0.965866i
\(625\) 2529.12 + 14343.3i 0.161864 + 0.917974i
\(626\) 22055.8 2117.24i 1.40819 0.135179i
\(627\) −10997.7 8414.55i −0.700485 0.535957i
\(628\) 11634.3 + 13399.5i 0.739266 + 0.851430i
\(629\) 7212.14 + 4163.93i 0.457181 + 0.263954i
\(630\) 3487.40 + 574.678i 0.220542 + 0.0363424i
\(631\) 1882.57 1086.90i 0.118770 0.0685718i −0.439438 0.898273i \(-0.644822\pi\)
0.558208 + 0.829701i \(0.311489\pi\)
\(632\) 1457.94 164.819i 0.0917621 0.0103737i
\(633\) 926.115 850.998i 0.0581513 0.0534347i
\(634\) −6660.76 3037.83i −0.417244 0.190296i
\(635\) 676.124 567.335i 0.0422538 0.0354551i
\(636\) −13419.6 + 8897.79i −0.836669 + 0.554749i
\(637\) −24385.6 + 8875.64i −1.51679 + 0.552065i
\(638\) 207.714 302.036i 0.0128894 0.0187425i
\(639\) −2907.03 + 6279.64i −0.179969 + 0.388761i
\(640\) −2081.66 1281.49i −0.128570 0.0791491i
\(641\) −13018.9 2295.59i −0.802211 0.141451i −0.242513 0.970148i \(-0.577972\pi\)
−0.559698 + 0.828697i \(0.689083\pi\)
\(642\) 2839.47 + 2551.03i 0.174556 + 0.156824i
\(643\) −4995.09 + 13723.9i −0.306356 + 0.841707i 0.687003 + 0.726654i \(0.258926\pi\)
−0.993359 + 0.115052i \(0.963296\pi\)
\(644\) 13453.8 24238.0i 0.823223 1.48309i
\(645\) 379.220 + 196.740i 0.0231500 + 0.0120103i
\(646\) −41723.2 10803.3i −2.54114 0.657974i
\(647\) −22196.1 −1.34872 −0.674358 0.738405i \(-0.735579\pi\)
−0.674358 + 0.738405i \(0.735579\pi\)
\(648\) 14727.7 7429.24i 0.892835 0.450383i
\(649\) −5053.07 −0.305625
\(650\) 21234.1 + 5498.13i 1.28134 + 0.331776i
\(651\) −23378.6 12128.9i −1.40750 0.730214i
\(652\) −7561.89 + 13623.3i −0.454212 + 0.818295i
\(653\) 1267.92 3483.58i 0.0759839 0.208764i −0.895885 0.444286i \(-0.853458\pi\)
0.971869 + 0.235521i \(0.0756798\pi\)
\(654\) 20492.2 + 18410.5i 1.22524 + 1.10078i
\(655\) −2909.30 512.988i −0.173551 0.0306017i
\(656\) −2379.66 + 7294.89i −0.141632 + 0.434173i
\(657\) −21578.7 + 1948.32i −1.28138 + 0.115694i
\(658\) −22042.0 + 32051.3i −1.30591 + 1.89892i
\(659\) 3950.91 1438.01i 0.233544 0.0850030i −0.222597 0.974911i \(-0.571453\pi\)
0.456141 + 0.889907i \(0.349231\pi\)
\(660\) −1226.75 + 813.391i −0.0723503 + 0.0479715i
\(661\) 21334.5 17901.7i 1.25539 1.05340i 0.259235 0.965814i \(-0.416530\pi\)
0.996157 0.0875849i \(-0.0279149\pi\)
\(662\) 8818.34 + 4021.85i 0.517726 + 0.236124i
\(663\) 29135.0 26771.9i 1.70665 1.56823i
\(664\) −2703.17 23911.4i −0.157987 1.39750i
\(665\) −5092.06 + 2939.90i −0.296935 + 0.171435i
\(666\) 3362.54 4099.82i 0.195640 0.238536i
\(667\) −676.225 390.419i −0.0392557 0.0226643i
\(668\) 4053.05 + 4667.99i 0.234756 + 0.270374i
\(669\) −986.786 755.012i −0.0570274 0.0436329i
\(670\) −2369.74 + 227.483i −0.136643 + 0.0131170i
\(671\) −124.954 708.649i −0.00718896 0.0407706i
\(672\) 8822.24 24233.7i 0.506436 1.39112i
\(673\) 20898.8 + 17536.1i 1.19701 + 1.00441i 0.999710 + 0.0240683i \(0.00766190\pi\)
0.197300 + 0.980343i \(0.436783\pi\)
\(674\) 23323.2 11116.3i 1.33290 0.635286i
\(675\) 9147.53 14491.7i 0.521613 0.826348i
\(676\) 9238.02 11394.4i 0.525604 0.648294i
\(677\) 6410.22 7639.40i 0.363906 0.433687i −0.552760 0.833341i \(-0.686425\pi\)
0.916666 + 0.399654i \(0.130870\pi\)
\(678\) −6064.24 + 3232.95i −0.343504 + 0.183128i
\(679\) 23144.5 4080.99i 1.30811 0.230654i
\(680\) −2531.87 + 3817.98i −0.142784 + 0.215313i
\(681\) −29090.9 3788.79i −1.63696 0.213196i
\(682\) 10570.2 2928.07i 0.593483 0.164401i
\(683\) −7272.35 + 12596.1i −0.407421 + 0.705674i −0.994600 0.103783i \(-0.966905\pi\)
0.587179 + 0.809457i \(0.300239\pi\)
\(684\) −11106.4 + 25093.4i −0.620851 + 1.40273i
\(685\) 1462.67 + 2533.43i 0.0815852 + 0.141310i
\(686\) 3636.05 + 3575.22i 0.202369 + 0.198983i
\(687\) 23234.3 5184.80i 1.29031 0.287936i
\(688\) 1922.05 2454.20i 0.106508 0.135996i
\(689\) 15806.8 + 18837.9i 0.874009 + 1.04160i
\(690\) 1933.04 + 2468.59i 0.106652 + 0.136199i
\(691\) 8067.54 + 22165.4i 0.444144 + 1.22028i 0.936742 + 0.350019i \(0.113825\pi\)
−0.492598 + 0.870257i \(0.663953\pi\)
\(692\) −264.070 + 1661.00i −0.0145064 + 0.0912455i
\(693\) −11011.0 10950.0i −0.603570 0.600225i
\(694\) −1093.05 + 13837.0i −0.0597864 + 0.756837i
\(695\) 338.946 1922.26i 0.0184992 0.104914i
\(696\) −678.305 259.976i −0.0369412 0.0141586i
\(697\) 13513.1 + 4918.36i 0.734354 + 0.267283i
\(698\) 16510.4 + 23161.0i 0.895312 + 1.25596i
\(699\) −10120.5 + 455.959i −0.547630 + 0.0246723i
\(700\) −5097.04 26303.9i −0.275214 1.42028i
\(701\) 23877.5i 1.28651i 0.765654 + 0.643253i \(0.222416\pi\)
−0.765654 + 0.643253i \(0.777584\pi\)
\(702\) −13802.7 21075.1i −0.742095 1.13309i
\(703\) 8820.93i 0.473240i
\(704\) 4179.18 + 9893.61i 0.223734 + 0.529658i
\(705\) −2369.04 3707.27i −0.126558 0.198048i
\(706\) −20153.4 + 14366.4i −1.07434 + 0.765846i
\(707\) 10177.5 + 3704.29i 0.541390 + 0.197050i
\(708\) 2345.48 + 9735.03i 0.124503 + 0.516759i
\(709\) −143.020 + 811.104i −0.00757576 + 0.0429642i −0.988361 0.152125i \(-0.951388\pi\)
0.980786 + 0.195089i \(0.0624996\pi\)
\(710\) −1219.83 96.3610i −0.0644783 0.00509347i
\(711\) −1744.51 147.742i −0.0920172 0.00779290i
\(712\) 5484.05 + 18573.5i 0.288657 + 0.977628i
\(713\) −7990.96 21955.0i −0.419725 1.15318i
\(714\) −44832.7 18056.4i −2.34989 0.946418i
\(715\) 1444.98 + 1722.06i 0.0755793 + 0.0900719i
\(716\) −331.173 19628.9i −0.0172856 1.02454i
\(717\) 327.745 1044.53i 0.0170709 0.0544055i
\(718\) −4765.26 + 4846.33i −0.247685 + 0.251899i
\(719\) 11196.1 + 19392.1i 0.580727 + 1.00585i 0.995393 + 0.0958746i \(0.0305648\pi\)
−0.414667 + 0.909973i \(0.636102\pi\)
\(720\) 2136.46 + 1985.86i 0.110585 + 0.102790i
\(721\) −15717.6 + 27223.7i −0.811864 + 1.40619i
\(722\) −7007.83 25298.0i −0.361225 1.30401i
\(723\) −4576.96 11006.5i −0.235434 0.566163i
\(724\) −15145.9 + 9088.54i −0.777475 + 0.466537i
\(725\) −743.221 + 131.050i −0.0380724 + 0.00671320i
\(726\) −13087.2 442.632i −0.669023 0.0226276i
\(727\) 1006.34 1199.31i 0.0513384 0.0611827i −0.739764 0.672866i \(-0.765063\pi\)
0.791103 + 0.611684i \(0.209507\pi\)
\(728\) −38291.1 9228.32i −1.94940 0.469814i
\(729\) −18969.2 + 5252.63i −0.963735 + 0.266861i
\(730\) −1648.39 3458.52i −0.0835749 0.175350i
\(731\) −4475.27 3755.20i −0.226435 0.190002i
\(732\) −1307.25 + 569.663i −0.0660075 + 0.0287641i
\(733\) −4666.29 26463.9i −0.235134 1.33351i −0.842330 0.538962i \(-0.818817\pi\)
0.607196 0.794552i \(-0.292294\pi\)
\(734\) −802.966 8364.68i −0.0403787 0.420635i
\(735\) −3310.42 + 1376.61i −0.166131 + 0.0690844i
\(736\) 20308.3 10534.2i 1.01708 0.527577i
\(737\) 9058.22 + 5229.77i 0.452733 + 0.261385i
\(738\) 4488.80 7980.17i 0.223896 0.398041i
\(739\) −9090.23 + 5248.25i −0.452489 + 0.261245i −0.708881 0.705328i \(-0.750800\pi\)
0.256392 + 0.966573i \(0.417466\pi\)
\(740\) 886.355 + 305.775i 0.0440311 + 0.0151899i
\(741\) 39987.9 + 12547.1i 1.98244 + 0.622036i
\(742\) 12464.7 27330.1i 0.616701 1.35218i
\(743\) 18793.0 15769.2i 0.927923 0.778620i −0.0475205 0.998870i \(-0.515132\pi\)
0.975443 + 0.220251i \(0.0706875\pi\)
\(744\) −10547.5 19005.1i −0.519743 0.936504i
\(745\) 611.970 222.739i 0.0300951 0.0109537i
\(746\) −3491.12 2400.88i −0.171339 0.117832i
\(747\) −2423.09 + 28611.4i −0.118683 + 1.40139i
\(748\) 18795.2 7202.23i 0.918745 0.352059i
\(749\) −7012.90 1236.56i −0.342117 0.0603245i
\(750\) 5998.83 + 1268.21i 0.292062 + 0.0617447i
\(751\) 6392.54 17563.4i 0.310609 0.853390i −0.681925 0.731422i \(-0.738857\pi\)
0.992534 0.121968i \(-0.0389207\pi\)
\(752\) −29778.7 + 11991.0i −1.44404 + 0.581472i
\(753\) 8721.98 5573.56i 0.422107 0.269737i
\(754\) −278.093 + 1074.01i −0.0134317 +