Properties

Label 108.4.l.a.11.8
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 11.8
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.61271 + 1.08339i) q^{2} +(2.79011 + 4.38352i) q^{3} +(5.65252 - 5.66118i) q^{4} +(-1.04436 + 2.86937i) q^{5} +(-12.0388 - 8.43010i) q^{6} +(-28.5377 - 5.03197i) q^{7} +(-8.63512 + 20.9149i) q^{8} +(-11.4306 + 24.4610i) q^{9} +O(q^{10})\) \(q+(-2.61271 + 1.08339i) q^{2} +(2.79011 + 4.38352i) q^{3} +(5.65252 - 5.66118i) q^{4} +(-1.04436 + 2.86937i) q^{5} +(-12.0388 - 8.43010i) q^{6} +(-28.5377 - 5.03197i) q^{7} +(-8.63512 + 20.9149i) q^{8} +(-11.4306 + 24.4610i) q^{9} +(-0.380029 - 8.62829i) q^{10} +(41.0637 - 14.9460i) q^{11} +(40.5871 + 8.98262i) q^{12} +(-49.8954 + 41.8672i) q^{13} +(80.0124 - 17.7705i) q^{14} +(-15.4918 + 3.42786i) q^{15} +(-0.0980222 - 63.9999i) q^{16} +(-54.6110 + 31.5297i) q^{17} +(3.36385 - 76.2934i) q^{18} +(-112.171 - 64.7622i) q^{19} +(10.3407 + 22.1315i) q^{20} +(-57.5656 - 139.135i) q^{21} +(-91.0953 + 83.5377i) q^{22} +(-16.6095 - 94.1969i) q^{23} +(-115.774 + 20.5028i) q^{24} +(88.6130 + 74.3551i) q^{25} +(85.0037 - 163.443i) q^{26} +(-139.118 + 18.1429i) q^{27} +(-189.797 + 133.114i) q^{28} +(-50.6360 + 60.3456i) q^{29} +(36.7620 - 25.7397i) q^{30} +(31.3820 - 5.53349i) q^{31} +(69.5932 + 167.107i) q^{32} +(180.088 + 138.303i) q^{33} +(108.524 - 141.543i) q^{34} +(44.2423 - 76.6299i) q^{35} +(73.8670 + 202.977i) q^{36} +(-178.935 - 309.925i) q^{37} +(363.234 + 47.6792i) q^{38} +(-322.740 - 101.904i) q^{39} +(-50.9944 - 46.6201i) q^{40} +(165.509 + 197.245i) q^{41} +(301.141 + 301.155i) q^{42} +(89.4918 + 245.877i) q^{43} +(147.502 - 316.952i) q^{44} +(-58.2500 - 58.3447i) q^{45} +(145.448 + 228.115i) q^{46} +(-43.0897 + 244.374i) q^{47} +(280.272 - 178.997i) q^{48} +(466.765 + 169.889i) q^{49} +(-312.076 - 98.2658i) q^{50} +(-290.582 - 151.417i) q^{51} +(-45.0168 + 519.123i) q^{52} +493.653i q^{53} +(343.819 - 198.122i) q^{54} +133.436i q^{55} +(351.670 - 553.413i) q^{56} +(-29.0841 - 672.399i) q^{57} +(66.9192 - 212.524i) q^{58} +(462.550 + 168.354i) q^{59} +(-68.1622 + 107.078i) q^{60} +(-65.4529 + 371.202i) q^{61} +(-75.9971 + 48.4564i) q^{62} +(449.289 - 640.543i) q^{63} +(-362.869 - 361.206i) q^{64} +(-68.0235 - 186.893i) q^{65} +(-620.355 - 166.239i) q^{66} +(-101.431 - 120.881i) q^{67} +(-130.195 + 487.385i) q^{68} +(366.572 - 335.628i) q^{69} +(-32.5721 + 248.144i) q^{70} +(157.422 + 272.663i) q^{71} +(-412.897 - 450.293i) q^{72} +(-201.361 + 348.767i) q^{73} +(803.276 + 615.887i) q^{74} +(-78.6974 + 595.896i) q^{75} +(-1000.68 + 268.953i) q^{76} +(-1247.07 + 219.892i) q^{77} +(953.628 - 83.4094i) q^{78} +(-252.641 + 301.086i) q^{79} +(183.742 + 66.5580i) q^{80} +(-467.685 - 559.207i) q^{81} +(-646.120 - 336.034i) q^{82} +(156.114 + 130.995i) q^{83} +(-1113.06 - 460.576i) q^{84} +(-33.4365 - 189.628i) q^{85} +(-500.198 - 545.450i) q^{86} +(-405.806 - 53.5930i) q^{87} +(-41.9960 + 987.906i) q^{88} +(-524.506 - 302.823i) q^{89} +(215.401 + 89.3302i) q^{90} +(1634.58 - 943.722i) q^{91} +(-627.151 - 438.421i) q^{92} +(111.815 + 122.125i) q^{93} +(-152.172 - 685.161i) q^{94} +(302.974 - 254.226i) q^{95} +(-538.345 + 771.311i) q^{96} +(1413.64 - 514.524i) q^{97} +(-1403.58 + 61.8200i) q^{98} +(-103.787 + 1175.30i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.61271 + 1.08339i −0.923733 + 0.383037i
\(3\) 2.79011 + 4.38352i 0.536957 + 0.843610i
\(4\) 5.65252 5.66118i 0.706565 0.707648i
\(5\) −1.04436 + 2.86937i −0.0934108 + 0.256644i −0.977595 0.210494i \(-0.932493\pi\)
0.884184 + 0.467138i \(0.154715\pi\)
\(6\) −12.0388 8.43010i −0.819139 0.573595i
\(7\) −28.5377 5.03197i −1.54089 0.271701i −0.662286 0.749251i \(-0.730414\pi\)
−0.878604 + 0.477550i \(0.841525\pi\)
\(8\) −8.63512 + 20.9149i −0.381622 + 0.924319i
\(9\) −11.4306 + 24.4610i −0.423354 + 0.905964i
\(10\) −0.380029 8.62829i −0.0120176 0.272850i
\(11\) 41.0637 14.9460i 1.12556 0.409671i 0.288883 0.957364i \(-0.406716\pi\)
0.836679 + 0.547693i \(0.184494\pi\)
\(12\) 40.5871 + 8.98262i 0.976374 + 0.216088i
\(13\) −49.8954 + 41.8672i −1.06450 + 0.893222i −0.994543 0.104328i \(-0.966731\pi\)
−0.0699573 + 0.997550i \(0.522286\pi\)
\(14\) 80.0124 17.7705i 1.52744 0.339240i
\(15\) −15.4918 + 3.42786i −0.266665 + 0.0590046i
\(16\) −0.0980222 63.9999i −0.00153160 0.999999i
\(17\) −54.6110 + 31.5297i −0.779125 + 0.449828i −0.836120 0.548547i \(-0.815181\pi\)
0.0569954 + 0.998374i \(0.481848\pi\)
\(18\) 3.36385 76.2934i 0.0440481 0.999029i
\(19\) −112.171 64.7622i −1.35441 0.781971i −0.365550 0.930792i \(-0.619119\pi\)
−0.988864 + 0.148820i \(0.952452\pi\)
\(20\) 10.3407 + 22.1315i 0.115613 + 0.247438i
\(21\) −57.5656 139.135i −0.598183 1.44580i
\(22\) −91.0953 + 83.5377i −0.882799 + 0.809559i
\(23\) −16.6095 94.1969i −0.150579 0.853975i −0.962717 0.270510i \(-0.912808\pi\)
0.812138 0.583465i \(1.80170\pi\)
\(24\) −115.774 + 20.5028i −0.984679 + 0.174380i
\(25\) 88.6130 + 74.3551i 0.708904 + 0.594841i
\(26\) 85.0037 163.443i 0.641177 1.23284i
\(27\) −139.118 + 18.1429i −0.991603 + 0.129318i
\(28\) −189.797 + 133.114i −1.28101 + 0.898434i
\(29\) −50.6360 + 60.3456i −0.324237 + 0.386410i −0.903398 0.428803i \(-0.858936\pi\)
0.579162 + 0.815213i \(0.303380\pi\)
\(30\) 36.7620 25.7397i 0.223726 0.156647i
\(31\) 31.3820 5.53349i 0.181818 0.0320595i −0.0819975 0.996633i \(-0.526130\pi\)
0.263816 + 0.964573i \(0.415019\pi\)
\(32\) 69.5932 + 167.107i 0.384451 + 0.923145i
\(33\) 180.088 + 138.303i 0.949981 + 0.729559i
\(34\) 108.524 141.543i 0.547402 0.713954i
\(35\) 44.2423 76.6299i 0.213666 0.370081i
\(36\) 73.8670 + 202.977i 0.341977 + 0.939708i
\(37\) −178.935 309.925i −0.795048 1.37706i −0.922809 0.385258i \(-0.874112\pi\)
0.127761 0.991805i \(-0.459221\pi\)
\(38\) 363.234 + 47.6792i 1.55064 + 0.203542i
\(39\) −322.740 101.904i −1.32512 0.418401i
\(40\) −50.9944 46.6201i −0.201573 0.184282i
\(41\) 165.509 + 197.245i 0.630441 + 0.751330i 0.982828 0.184524i \(-0.0590743\pi\)
−0.352387 + 0.935854i \(0.614630\pi\)
\(42\) 301.141 + 301.155i 1.10636 + 1.10641i
\(43\) 89.4918 + 245.877i 0.317381 + 0.871997i 0.991113 + 0.133021i \(0.0424679\pi\)
−0.673732 + 0.738976i \(0.735310\pi\)
\(44\) 147.502 316.952i 0.505380 1.08596i
\(45\) −58.2500 58.3447i −0.192965 0.193278i
\(46\) 145.448 + 228.115i 0.466199 + 0.731167i
\(47\) −43.0897 + 244.374i −0.133729 + 0.758416i 0.842007 + 0.539467i \(0.181374\pi\)
−0.975736 + 0.218950i \(0.929737\pi\)
\(48\) 280.272 178.997i 0.842786 0.538249i
\(49\) 466.765 + 169.889i 1.36083 + 0.495302i
\(50\) −312.076 98.2658i −0.882684 0.277938i
\(51\) −290.582 151.417i −0.797836 0.415739i
\(52\) −45.0168 + 519.123i −0.120052 + 1.38441i
\(53\) 493.653i 1.27941i 0.768623 + 0.639703i \(0.220942\pi\)
−0.768623 + 0.639703i \(0.779058\pi\)
\(54\) 343.819 198.122i 0.866443 0.499277i
\(55\) 133.436i 0.327136i
\(56\) 351.670 553.413i 0.839176 1.32059i
\(57\) −29.0841 672.399i −0.0675838 1.56248i
\(58\) 66.9192 212.524i 0.151499 0.481134i
\(59\) 462.550 + 168.354i 1.02066 + 0.371489i 0.797517 0.603297i \(-0.206147\pi\)
0.223142 + 0.974786i \(0.428369\pi\)
\(60\) −68.1622 + 107.078i −0.146662 + 0.230396i
\(61\) −65.4529 + 371.202i −0.137383 + 0.779139i 0.835787 + 0.549054i \(0.185012\pi\)
−0.973170 + 0.230086i \(0.926099\pi\)
\(62\) −75.9971 + 48.4564i −0.155672 + 0.0992576i
\(63\) 449.289 640.543i 0.898494 1.28097i
\(64\) −362.869 361.206i −0.708729 0.705480i
\(65\) −68.0235 186.893i −0.129804 0.356634i
\(66\) −620.355 166.239i −1.15698 0.310040i
\(67\) −101.431 120.881i −0.184951 0.220416i 0.665600 0.746309i \(-0.268176\pi\)
−0.850551 + 0.525893i \(0.823731\pi\)
\(68\) −130.195 + 487.385i −0.232182 + 0.869179i
\(69\) 366.572 335.628i 0.639567 0.585577i
\(70\) −32.5721 + 248.144i −0.0556158 + 0.423698i
\(71\) 157.422 + 272.663i 0.263135 + 0.455763i 0.967073 0.254498i \(-0.0819102\pi\)
−0.703938 + 0.710261i \(0.748577\pi\)
\(72\) −412.897 450.293i −0.675838 0.737050i
\(73\) −201.361 + 348.767i −0.322842 + 0.559179i −0.981073 0.193637i \(-0.937972\pi\)
0.658231 + 0.752816i \(0.271305\pi\)
\(74\) 803.276 + 615.887i 1.26188 + 0.967506i
\(75\) −78.6974 + 595.896i −0.121163 + 0.917442i
\(76\) −1000.68 + 268.953i −1.51034 + 0.405935i
\(77\) −1247.07 + 219.892i −1.84568 + 0.325442i
\(78\) 953.628 83.4094i 1.38432 0.121080i
\(79\) −252.641 + 301.086i −0.359802 + 0.428795i −0.915331 0.402702i \(-0.868071\pi\)
0.555530 + 0.831497i \(0.312516\pi\)
\(80\) 183.742 + 66.5580i 0.256787 + 0.0930176i
\(81\) −467.685 559.207i −0.641543 0.767087i
\(82\) −646.120 336.034i −0.870147 0.452546i
\(83\) 156.114 + 130.995i 0.206455 + 0.173236i 0.740152 0.672439i \(-0.234753\pi\)
−0.533697 + 0.845676i \(0.679198\pi\)
\(84\) −1113.06 460.576i −1.44577 0.598250i
\(85\) −33.4365 189.628i −0.0426670 0.241976i
\(86\) −500.198 545.450i −0.627182 0.683924i
\(87\) −405.806 53.5930i −0.500080 0.0660434i
\(88\) −41.9960 + 987.906i −0.0508726 + 1.19672i
\(89\) −524.506 302.823i −0.624691 0.360665i 0.154002 0.988070i \(-0.450784\pi\)
−0.778693 + 0.627405i \(0.784117\pi\)
\(90\) 215.401 + 89.3302i 0.252280 + 0.104625i
\(91\) 1634.58 943.722i 1.88297 1.08713i
\(92\) −627.151 438.421i −0.710707 0.496832i
\(93\) 111.815 + 122.125i 0.124674 + 0.136169i
\(94\) −152.172 685.161i −0.166972 0.751797i
\(95\) 302.974 254.226i 0.327205 0.274558i
\(96\) −538.345 + 771.311i −0.572340 + 0.820016i
\(97\) 1413.64 514.524i 1.47973 0.538577i 0.529006 0.848618i \(-0.322565\pi\)
0.950723 + 0.310041i \(0.100343\pi\)
\(98\) −1403.58 + 61.8200i −1.44676 + 0.0637221i
\(99\) −103.787 + 1175.30i −0.105364 + 1.19315i
\(100\) 921.825 81.3606i 0.921825 0.0813606i
\(101\) 895.811 + 157.956i 0.882540 + 0.155616i 0.596511 0.802605i \(-0.296553\pi\)
0.286029 + 0.958221i \(0.407665\pi\)
\(102\) 923.251 + 80.7955i 0.896230 + 0.0784309i
\(103\) 56.6315 155.594i 0.0541755 0.148846i −0.909653 0.415369i \(-0.863653\pi\)
0.963829 + 0.266523i \(0.0858748\pi\)
\(104\) −444.798 1405.09i −0.419385 1.32481i
\(105\) 459.350 19.8688i 0.426933 0.0184666i
\(106\) −534.820 1289.77i −0.490060 1.18183i
\(107\) −1218.18 −1.10062 −0.550308 0.834962i \(-0.685490\pi\)
−0.550308 + 0.834962i \(0.685490\pi\)
\(108\) −683.658 + 890.126i −0.609120 + 0.793078i
\(109\) 166.628 0.146423 0.0732114 0.997316i \(-0.476675\pi\)
0.0732114 + 0.997316i \(0.476675\pi\)
\(110\) −144.564 348.630i −0.125305 0.302187i
\(111\) 859.314 1649.09i 0.734797 1.41013i
\(112\) −319.248 + 1826.90i −0.269340 + 1.54131i
\(113\) −153.871 + 422.757i −0.128097 + 0.351944i −0.987117 0.159998i \(-0.948851\pi\)
0.859020 + 0.511941i \(0.171074\pi\)
\(114\) 804.461 + 1725.28i 0.660918 + 1.41743i
\(115\) 287.632 + 50.7173i 0.233233 + 0.0411253i
\(116\) 55.4067 + 627.764i 0.0443481 + 0.502469i
\(117\) −453.783 1699.06i −0.358567 1.34255i
\(118\) −1390.90 + 61.2617i −1.08511 + 0.0477932i
\(119\) 1717.13 624.984i 1.32276 0.481447i
\(120\) 62.0804 353.611i 0.0472261 0.269001i
\(121\) 443.243 371.925i 0.333015 0.279433i
\(122\) −231.148 1040.75i −0.171534 0.772340i
\(123\) −402.843 + 1275.85i −0.295310 + 0.935278i
\(124\) 146.061 208.937i 0.105780 0.151316i
\(125\) −636.449 + 367.454i −0.455406 + 0.262929i
\(126\) −479.902 + 2160.31i −0.339310 + 1.52743i
\(127\) −1761.08 1016.76i −1.23048 0.710416i −0.263347 0.964701i \(-0.584827\pi\)
−0.967129 + 0.254285i \(0.918160\pi\)
\(128\) 1339.40 + 550.597i 0.924902 + 0.380206i
\(129\) −828.115 + 1078.31i −0.565205 + 0.735970i
\(130\) 380.204 + 414.601i 0.256509 + 0.279715i
\(131\) 228.625 + 1296.60i 0.152481 + 0.864765i 0.961052 + 0.276366i \(0.0891303\pi\)
−0.808571 + 0.588399i \(0.799759\pi\)
\(132\) 1800.91 237.754i 1.18749 0.156771i
\(133\) 2875.23 + 2412.61i 1.87454 + 1.57293i
\(134\) 395.970 + 205.936i 0.255273 + 0.132763i
\(135\) 93.2314 418.129i 0.0594376 0.266569i
\(136\) −187.869 1414.45i −0.118453 0.891823i
\(137\) 436.206 519.850i 0.272026 0.324188i −0.612686 0.790327i \(-0.709911\pi\)
0.884712 + 0.466139i \(0.154355\pi\)
\(138\) −594.131 + 1274.04i −0.366491 + 0.785895i
\(139\) 1948.79 343.623i 1.18916 0.209682i 0.456155 0.889900i \(-0.349226\pi\)
0.733009 + 0.680219i \(0.238115\pi\)
\(140\) −183.736 683.616i −0.110918 0.412687i
\(141\) −1191.44 + 492.945i −0.711614 + 0.294422i
\(142\) −706.700 541.840i −0.417641 0.320213i
\(143\) −1423.15 + 2464.96i −0.832234 + 1.44147i
\(144\) 1566.62 + 729.157i 0.906612 + 0.421966i
\(145\) −120.271 208.316i −0.0688827 0.119308i
\(146\) 148.246 1129.38i 0.0840336 0.640192i
\(147\) 557.616 + 2520.08i 0.312866 + 1.41397i
\(148\) −2765.98 738.871i −1.53623 0.410371i
\(149\) −1793.00 2136.82i −0.985830 1.17487i −0.984592 0.174867i \(-0.944050\pi\)
−0.00123777 0.999999i \(-0.500394\pi\)
\(150\) −439.976 1642.16i −0.239493 0.893881i
\(151\) 10.1937 + 28.0069i 0.00549370 + 0.0150938i 0.942409 0.334462i \(-0.108555\pi\)
−0.936915 + 0.349556i \(0.886332\pi\)
\(152\) 2323.11 1786.83i 1.23966 0.953493i
\(153\) −147.014 1696.24i −0.0776823 0.896295i
\(154\) 3020.01 1925.58i 1.58026 1.00758i
\(155\) −16.8966 + 95.8254i −0.00875593 + 0.0496573i
\(156\) −2401.19 + 1251.08i −1.23236 + 0.642092i
\(157\) −1696.20 617.367i −0.862239 0.313829i −0.127219 0.991875i \(-0.540605\pi\)
−0.735020 + 0.678045i \(0.762827\pi\)
\(158\) 333.884 1060.36i 0.168116 0.533909i
\(159\) −2163.94 + 1377.35i −1.07932 + 0.686986i
\(160\) −552.172 + 25.1676i −0.272832 + 0.0124355i
\(161\) 2771.74i 1.35679i
\(162\) 1827.77 + 954.360i 0.886437 + 0.462849i
\(163\) 1624.76i 0.780745i −0.920657 0.390372i \(-0.872346\pi\)
0.920657 0.390372i \(-0.127654\pi\)
\(164\) 2052.18 + 177.959i 0.977125 + 0.0847334i
\(165\) −584.920 + 372.301i −0.275975 + 0.175658i
\(166\) −549.801 173.120i −0.257065 0.0809442i
\(167\) 89.3530 + 32.5218i 0.0414032 + 0.0150695i 0.362639 0.931930i \(-0.381876\pi\)
−0.321236 + 0.946999i \(0.604098\pi\)
\(168\) 3407.09 2.53037i 1.56466 0.00116204i
\(169\) 355.183 2014.35i 0.161667 0.916862i
\(170\) 292.801 + 459.217i 0.132099 + 0.207179i
\(171\) 2866.33 2003.56i 1.28184 0.896000i
\(172\) 1897.81 + 883.194i 0.841317 + 0.391529i
\(173\) −139.893 384.353i −0.0614790 0.168912i 0.905150 0.425092i \(-0.139758\pi\)
−0.966629 + 0.256180i \(0.917536\pi\)
\(174\) 1118.32 299.624i 0.487238 0.130543i
\(175\) −2154.66 2567.82i −0.930725 1.10919i
\(176\) −960.567 2626.61i −0.411394 1.12493i
\(177\) 552.580 + 2497.33i 0.234658 + 1.06051i
\(178\) 1698.46 + 222.945i 0.715196 + 0.0938787i
\(179\) −1404.62 2432.88i −0.586517 1.01588i −0.994684 0.102970i \(-0.967165\pi\)
0.408168 0.912907i \(1.63383\pi\)
\(180\) −659.560 0.0305005i −0.273115 1.26298e-5i
\(181\) −44.2723 + 76.6818i −0.0181808 + 0.0314901i −0.874973 0.484172i \(-0.839121\pi\)
0.856792 + 0.515662i \(0.172454\pi\)
\(182\) −3248.25 + 4236.56i −1.32295 + 1.72547i
\(183\) −1809.79 + 748.780i −0.731058 + 0.302467i
\(184\) 2113.55 + 466.016i 0.846809 + 0.186713i
\(185\) 1076.16 189.756i 0.427681 0.0754117i
\(186\) −424.450 197.936i −0.167324 0.0780290i
\(187\) −1771.29 + 2110.94i −0.692672 + 0.825494i
\(188\) 1139.88 + 1625.27i 0.442203 + 0.630504i
\(189\) 4061.40 + 182.281i 1.56309 + 0.0701536i
\(190\) −516.158 + 992.458i −0.197084 + 0.378950i
\(191\) −2287.55 1919.48i −0.866605 0.727168i 0.0967758 0.995306i \(-0.469147\pi\)
−0.963380 + 0.268139i \(0.913591\pi\)
\(192\) 570.909 2598.45i 0.214593 0.976704i
\(193\) 605.137 + 3431.90i 0.225693 + 1.27997i 0.861356 + 0.508002i \(0.169616\pi\)
−0.635663 + 0.771967i \(0.719273\pi\)
\(194\) −3136.01 + 2875.83i −1.16058 + 1.06429i
\(195\) 629.457 819.635i 0.231161 0.301001i
\(196\) 3600.17 1682.14i 1.31201 0.613026i
\(197\) 3395.15 + 1960.19i 1.22789 + 0.708923i 0.966588 0.256334i \(-0.0825148\pi\)
0.261302 + 0.965257i \(0.415848\pi\)
\(198\) −1002.15 3183.17i −0.359695 1.14251i
\(199\) 68.3342 39.4527i 0.0243421 0.0140539i −0.487780 0.872967i \(-0.662193\pi\)
0.512122 + 0.858913i \(0.328860\pi\)
\(200\) −2320.32 + 1211.27i −0.820356 + 0.428249i
\(201\) 246.879 781.894i 0.0866345 0.274381i
\(202\) −2511.62 + 557.823i −0.874838 + 0.194298i
\(203\) 1748.69 1467.33i 0.604601 0.507320i
\(204\) −2499.72 + 789.148i −0.857919 + 0.270840i
\(205\) −738.821 + 268.909i −0.251715 + 0.0916166i
\(206\) 20.6074 + 467.876i 0.00696983 + 0.158245i
\(207\) 2494.01 + 670.439i 0.837419 + 0.225115i
\(208\) 2684.39 + 3189.20i 0.894851 + 1.06313i
\(209\) −5574.11 982.866i −1.84483 0.325293i
\(210\) −1178.62 + 549.568i −0.387299 + 0.180590i
\(211\) −932.428 + 2561.83i −0.304223 + 0.835845i 0.689532 + 0.724256i \(0.257816\pi\)
−0.993754 + 0.111590i \(0.964406\pi\)
\(212\) 2794.66 + 2790.38i 0.905368 + 0.903983i
\(213\) −756.001 + 1450.83i −0.243194 + 0.466708i
\(214\) 3182.75 1319.77i 1.01667 0.421576i
\(215\) −798.973 −0.253440
\(216\) 821.844 3066.31i 0.258886 0.965908i
\(217\) −923.414 −0.288873
\(218\) −435.351 + 180.524i −0.135256 + 0.0560854i
\(219\) −2090.65 + 90.4291i −0.645081 + 0.0279024i
\(220\) 755.406 + 754.250i 0.231497 + 0.231143i
\(221\) 1404.78 3859.60i 0.427582 1.17477i
\(222\) −458.525 + 5239.57i −0.138623 + 1.58404i
\(223\) −2995.25 528.143i −0.899446 0.158597i −0.295239 0.955424i \(-0.595399\pi\)
−0.604208 + 0.796827i \(0.706510\pi\)
\(224\) −1145.15 5119.04i −0.341579 1.52692i
\(225\) −2831.70 + 1317.64i −0.839022 + 0.390413i
\(226\) −55.9915 1271.25i −0.0164801 0.374168i
\(227\) −407.161 + 148.195i −0.119050 + 0.0433305i −0.400858 0.916140i \(-0.631288\pi\)
0.281808 + 0.959471i \(0.409066\pi\)
\(228\) −3970.98 3636.10i −1.15344 1.05617i
\(229\) −2135.66 + 1792.03i −0.616281 + 0.517121i −0.896632 0.442777i \(-0.853993\pi\)
0.280351 + 0.959897i \(0.409549\pi\)
\(230\) −806.446 + 179.109i −0.231198 + 0.0513482i
\(231\) −4443.37 4853.05i −1.26560 1.38228i
\(232\) −824.877 1580.14i −0.233430 0.447160i
\(233\) 3076.61 1776.28i 0.865045 0.499434i −0.000653482 1.00000i \(-0.500208\pi\)
0.865698 + 0.500566i \(0.166875\pi\)
\(234\) 3026.35 + 3947.53i 0.845466 + 1.10281i
\(235\) −656.197 378.855i −0.182151 0.105165i
\(236\) 3567.66 1666.95i 0.984045 0.459786i
\(237\) −2024.71 267.395i −0.554933 0.0732876i
\(238\) −3809.26 + 3493.23i −1.03747 + 0.951396i
\(239\) 41.5731 + 235.773i 0.0112516 + 0.0638112i 0.989917 0.141651i \(-0.0452412\pi\)
−0.978665 + 0.205463i \(0.934130\pi\)
\(240\) 220.901 + 991.140i 0.0594130 + 0.266574i
\(241\) −3185.54 2672.99i −0.851447 0.714449i 0.108661 0.994079i \(-0.465344\pi\)
−0.960108 + 0.279630i \(0.909788\pi\)
\(242\) −755.125 + 1451.94i −0.200584 + 0.385678i
\(243\) 1146.40 3610.36i 0.302641 0.953105i
\(244\) 1731.47 + 2468.77i 0.454286 + 0.647732i
\(245\) −974.945 + 1161.89i −0.254233 + 0.302983i
\(246\) −329.732 3769.86i −0.0854591 0.977062i
\(247\) 8308.25 1464.97i 2.14025 0.377384i
\(248\) −155.255 + 704.135i −0.0397527 + 0.180293i
\(249\) −138.645 + 1049.82i −0.0352863 + 0.267188i
\(250\) 1264.76 1649.58i 0.319962 0.417313i
\(251\) −3844.95 + 6659.65i −0.966898 + 1.67472i −0.262469 + 0.964940i \(0.584537\pi\)
−0.704428 + 0.709775i \(0.748796\pi\)
\(252\) −1086.62 6164.19i −0.271629 1.54090i
\(253\) −2089.91 3619.83i −0.519334 0.899514i
\(254\) 5702.74 + 748.559i 1.40875 + 0.184916i
\(255\) 737.946 675.652i 0.181223 0.165925i
\(256\) −4095.98 + 12.5468i −0.999995 + 0.00306319i
\(257\) 2058.37 + 2453.07i 0.499602 + 0.595403i 0.955633 0.294562i \(-0.0951736\pi\)
−0.456030 + 0.889964i \(0.650729\pi\)
\(258\) 995.388 3714.49i 0.240194 0.896335i
\(259\) 3546.87 + 9744.94i 0.850933 + 2.33792i
\(260\) −1442.54 671.323i −0.344087 0.160130i
\(261\) −897.318 1928.39i −0.212807 0.457335i
\(262\) −2002.05 3139.94i −0.472089 0.740406i
\(263\) 1185.57 6723.69i 0.277967 1.57643i −0.451411 0.892316i \(-0.649079\pi\)
0.729377 0.684112i \(-0.239810\pi\)
\(264\) −4447.68 + 2572.28i −1.03688 + 0.599669i
\(265\) −1416.47 515.554i −0.328352 0.119510i
\(266\) −10125.9 3188.44i −2.33407 0.734946i
\(267\) −135.995 3144.09i −0.0311714 0.720657i
\(268\) −1257.67 109.061i −0.286657 0.0248581i
\(269\) 4798.51i 1.08762i 0.839208 + 0.543811i \(0.183019\pi\)
−0.839208 + 0.543811i \(0.816981\pi\)
\(270\) 209.411 + 1193.46i 0.0472013 + 0.269005i
\(271\) 1176.02i 0.263610i −0.991276 0.131805i \(-0.957923\pi\)
0.991276 0.131805i \(-0.0420773\pi\)
\(272\) 2023.25 + 3492.01i 0.451021 + 0.778435i
\(273\) 8697.48 + 4532.11i 1.92819 + 1.00475i
\(274\) −576.478 + 1830.80i −0.127103 + 0.403659i
\(275\) 4750.09 + 1728.89i 1.04160 + 0.379113i
\(276\) 172.006 3972.38i 0.0375128 0.866337i
\(277\) 85.5231 485.026i 0.0185509 0.105207i −0.974126 0.226004i \(-0.927434\pi\)
0.992677 + 0.120797i \(0.0385449\pi\)
\(278\) −4719.33 + 3009.09i −1.01815 + 0.649184i
\(279\) −223.359 + 830.887i −0.0479288 + 0.178294i
\(280\) 1220.67 + 1587.03i 0.260533 + 0.338727i
\(281\) −1832.48 5034.71i −0.389028 1.06885i −0.967440 0.253101i \(-0.918550\pi\)
0.578412 0.815745i \(-0.303673\pi\)
\(282\) 2578.84 2578.72i 0.544567 0.544542i
\(283\) 2537.05 + 3023.54i 0.532905 + 0.635091i 0.963581 0.267415i \(-0.0861694\pi\)
−0.430676 + 0.902506i \(0.641725\pi\)
\(284\) 2433.43 + 650.039i 0.508442 + 0.135819i
\(285\) 1959.74 + 618.777i 0.407315 + 0.128608i
\(286\) 1047.75 7982.06i 0.216625 1.65031i
\(287\) −3730.70 6461.76i −0.767304 1.32901i
\(288\) −4883.10 207.807i −0.999096 0.0425180i
\(289\) −468.258 + 811.046i −0.0953099 + 0.165082i
\(290\) 539.922 + 413.968i 0.109329 + 0.0838243i
\(291\) 6199.65 + 4761.16i 1.24890 + 0.959121i
\(292\) 836.238 + 3111.35i 0.167593 + 0.623555i
\(293\) 7840.15 1382.43i 1.56323 0.275640i 0.675978 0.736922i \(-0.263722\pi\)
0.887253 + 0.461282i \(0.152610\pi\)
\(294\) −4187.13 5980.13i −0.830606 1.18629i
\(295\) −966.141 + 1151.40i −0.190681 + 0.227245i
\(296\) 8027.19 1066.18i 1.57625 0.209360i
\(297\) −5441.54 + 2824.27i −1.06313 + 0.551787i
\(298\) 6999.62 + 3640.36i 1.36066 + 0.707653i
\(299\) 4772.50 + 4004.60i 0.923080 + 0.774556i
\(300\) 2928.64 + 3813.84i 0.563617 + 0.733973i
\(301\) −1316.65 7467.08i −0.252127 1.42988i
\(302\) −56.9755 62.1301i −0.0108562 0.0118384i
\(303\) 1807.01 + 4367.52i 0.342607 + 0.828078i
\(304\) −4133.78 + 7185.31i −0.779896 + 1.35561i
\(305\) −996.757 575.478i −0.187128 0.108039i
\(306\) 2221.80 + 4272.52i 0.415072 + 0.798182i
\(307\) −5461.28 + 3153.07i −1.01528 + 0.586174i −0.912734 0.408554i \(-0.866033\pi\)
−0.102549 + 0.994728i \(0.532700\pi\)
\(308\) −5804.25 + 8302.85i −1.07379 + 1.53604i
\(309\) 840.058 185.879i 0.154658 0.0342209i
\(310\) −59.6706 268.670i −0.0109325 0.0492239i
\(311\) 48.1538 40.4058i 0.00877990 0.00736721i −0.638387 0.769715i \(-0.720398\pi\)
0.647167 + 0.762348i \(0.275954\pi\)
\(312\) 4918.20 5870.14i 0.892431 1.06516i
\(313\) −4125.21 + 1501.45i −0.744954 + 0.271141i −0.686481 0.727148i \(-0.740845\pi\)
−0.0584733 + 0.998289i \(0.518623\pi\)
\(314\) 5100.53 224.651i 0.916687 0.0403751i
\(315\) 1368.73 + 1958.14i 0.244823 + 0.350249i
\(316\) 276.444 + 3132.14i 0.0492126 + 0.557584i
\(317\) 6911.34 + 1218.65i 1.22454 + 0.215919i 0.748279 0.663384i \(-0.230881\pi\)
0.476261 + 0.879304i \(0.341992\pi\)
\(318\) 4161.54 5943.01i 0.733861 1.04801i
\(319\) −1177.38 + 3234.82i −0.206647 + 0.567759i
\(320\) 1415.40 663.975i 0.247260 0.115992i
\(321\) −3398.85 5339.92i −0.590983 0.928489i
\(322\) −3002.88 7241.76i −0.519703 1.25332i
\(323\) 8167.72 1.40701
\(324\) −5809.37 513.279i −0.996120 0.0880107i
\(325\) −7534.43 −1.28595
\(326\) 1760.26 + 4245.04i 0.299054 + 0.721200i
\(327\) 464.911 + 730.418i 0.0786227 + 0.123524i
\(328\) −5554.56 + 1758.36i −0.935059 + 0.296004i
\(329\) 2459.36 6757.04i 0.412124 1.13230i
\(330\) 1124.88 1606.41i 0.187644 0.267970i
\(331\) −4128.60 727.983i −0.685583 0.120887i −0.180003 0.983666i \(-0.557611\pi\)
−0.505581 + 0.862779i \(0.668722\pi\)
\(332\) 1624.03 143.337i 0.268464 0.0236948i
\(333\) 9626.41 834.326i 1.58416 0.137300i
\(334\) −268.687 + 11.8342i −0.0440177 + 0.00193874i
\(335\) 452.781 164.799i 0.0738450 0.0268774i
\(336\) −8899.01 + 3697.83i −1.44488 + 0.600397i
\(337\) 5620.85 4716.45i 0.908567 0.762378i −0.0632790 0.997996i \(-0.520156\pi\)
0.971846 + 0.235618i \(0.0757113\pi\)
\(338\) 1254.34 + 5647.71i 0.201855 + 0.908860i
\(339\) −2282.48 + 505.042i −0.365686 + 0.0809148i
\(340\) −1262.52 882.584i −0.201381 0.140779i
\(341\) 1205.96 696.260i 0.191514 0.110571i
\(342\) −5318.25 + 8340.08i −0.840872 + 1.31866i
\(343\) −3857.72 2227.26i −0.607281 0.350614i
\(344\) −5915.27 251.459i −0.927122 0.0394121i
\(345\) 580.205 + 1402.35i 0.0905425 + 0.218840i
\(346\) 781.905 + 852.644i 0.121490 + 0.132481i
\(347\) 896.820 + 5086.12i 0.138743 + 0.786851i 0.972180 + 0.234236i \(0.0752588\pi\)
−0.833437 + 0.552615i \(0.813630\pi\)
\(348\) −2597.23 + 1994.41i −0.400075 + 0.307217i
\(349\) 6015.32 + 5047.45i 0.922615 + 0.774166i 0.974477 0.224488i \(-0.0720710\pi\)
−0.0518614 + 0.998654i \(0.516515\pi\)
\(350\) 8411.46 + 4374.64i 1.28460 + 0.668097i
\(351\) 6181.76 6729.74i 0.940052 1.02338i
\(352\) 5355.33 + 5821.90i 0.810910 + 0.881558i
\(353\) 896.843 1068.82i 0.135224 0.161154i −0.694183 0.719799i \(-0.744234\pi\)
0.829407 + 0.558645i \(0.188679\pi\)
\(354\) −4149.32 5926.13i −0.622976 0.889746i
\(355\) −946.778 + 166.942i −0.141549 + 0.0249588i
\(356\) −4679.12 + 1257.61i −0.696609 + 0.187228i
\(357\) 7530.61 + 5783.30i 1.11642 + 0.857380i
\(358\) 6305.64 + 4834.65i 0.930904 + 0.713741i
\(359\) 33.2047 57.5122i 0.00488155 0.00845509i −0.863574 0.504222i \(-0.831779\pi\)
0.868456 + 0.495766i \(0.165113\pi\)
\(360\) 1723.27 714.482i 0.252290 0.104601i
\(361\) 4958.77 + 8588.85i 0.722959 + 1.25220i
\(362\) 32.5941 248.312i 0.00473235 0.0360524i
\(363\) 2867.04 + 905.254i 0.414547 + 0.130891i
\(364\) 3896.88 14588.0i 0.561132 2.10061i
\(365\) −790.446 942.017i −0.113353 0.135089i
\(366\) 3917.24 3917.06i 0.559447 0.559421i
\(367\) −207.655 570.529i −0.0295355 0.0811481i 0.924049 0.382275i \(-0.124859\pi\)
−0.953584 + 0.301127i \(0.902637\pi\)
\(368\) −6026.97 + 1072.24i −0.853743 + 0.151887i
\(369\) −6716.68 + 1793.88i −0.947578 + 0.253078i
\(370\) −2606.12 + 1661.68i −0.366178 + 0.233478i
\(371\) 2484.05 14087.7i 0.347615 1.97142i
\(372\) 1323.41 + 57.3043i 0.184450 + 0.00798679i
\(373\) −6266.49 2280.82i −0.869884 0.316612i −0.131764 0.991281i \(-0.542064\pi\)
−0.738120 + 0.674669i \(0.764286\pi\)
\(374\) 2340.89 7434.28i 0.323649 1.02785i
\(375\) −3386.51 1764.65i −0.466343 0.243003i
\(376\) −4738.98 3011.41i −0.649984 0.413037i
\(377\) 5130.96i 0.700949i
\(378\) −10808.8 + 3923.85i −1.47075 + 0.533918i
\(379\) 9812.32i 1.32988i −0.746896 0.664941i \(-0.768457\pi\)
0.746896 0.664941i \(-0.231543\pi\)
\(380\) 273.350 3152.21i 0.0369015 0.425539i
\(381\) −456.617 10556.6i −0.0613995 1.41950i
\(382\) 8056.27 + 2536.74i 1.07904 + 0.339767i
\(383\) 5509.18 + 2005.18i 0.735002 + 0.267519i 0.682281 0.731090i \(-0.260988\pi\)
0.0527216 + 0.998609i \(0.483210\pi\)
\(384\) 1323.52 + 7407.52i 0.175887 + 0.984410i
\(385\) 671.445 3807.96i 0.0888832 0.504082i
\(386\) −5299.15 8310.97i −0.698755 1.09590i
\(387\) −7037.34 621.447i −0.924363 0.0816277i
\(388\) 5077.83 10911.3i 0.664402 1.42767i
\(389\) 4387.93 + 12055.7i 0.571920 + 1.57134i 0.801467 + 0.598039i \(0.204053\pi\)
−0.229548 + 0.973297i \(0.573725\pi\)
\(390\) −756.603 + 2823.42i −0.0982360 + 0.366588i
\(391\) 3877.06 + 4620.50i 0.501461 + 0.597618i
\(392\) −7583.78 + 8295.35i −0.977140 + 1.06882i
\(393\) −5045.77 + 4619.83i −0.647648 + 0.592976i
\(394\) −10994.2 1443.13i −1.40579 0.184528i
\(395\) −600.076 1039.36i −0.0764383 0.132395i
\(396\) 6066.94 + 7230.98i 0.769887 + 0.917602i
\(397\) −2603.74 + 4509.81i −0.329164 + 0.570128i −0.982346 0.187072i \(-0.940100\pi\)
0.653182 + 0.757201i \(0.273433\pi\)
\(398\) −135.795 + 177.111i −0.0171024 + 0.0223060i
\(399\) −2553.50 + 19335.1i −0.320388 + 2.42598i
\(400\) 4750.04 5678.51i 0.593755 0.709814i
\(401\) −11017.8 + 1942.73i −1.37207 + 0.241934i −0.810619 0.585573i \(-0.800869\pi\)
−0.561455 + 0.827507i \(0.689758\pi\)
\(402\) 202.074 + 2310.33i 0.0250710 + 0.286639i
\(403\) −1334.15 + 1589.97i −0.164910 + 0.196532i
\(404\) 5957.81 4178.50i 0.733693 0.514575i
\(405\) 2093.00 757.943i 0.256795 0.0929939i
\(406\) −2979.13 + 5728.22i −0.364167 + 0.700213i
\(407\) −11979.9 10052.3i −1.45902 1.22426i
\(408\) 5676.09 4770.00i 0.688746 0.578799i
\(409\) −2462.22 13963.9i −0.297675 1.68820i −0.656128 0.754649i \(-0.727807\pi\)
0.358454 0.933547i \(-0.383304\pi\)
\(410\) 1638.99 1503.01i 0.197424 0.181045i
\(411\) 3495.84 + 461.680i 0.419554 + 0.0554087i
\(412\) −560.735 1200.10i −0.0670520 0.143506i
\(413\) −12353.0 7131.98i −1.47179 0.849738i
\(414\) −7242.48 + 950.328i −0.859778 + 0.112817i
\(415\) −538.914 + 311.142i −0.0637452 + 0.0368033i
\(416\) −10468.7 5424.21i −1.23382 0.639288i
\(417\) 6943.61 + 7583.80i 0.815420 + 0.890600i
\(418\) 15628.4 3471.00i 1.82873 0.406154i
\(419\) −6009.68 + 5042.72i −0.700698 + 0.587955i −0.921972 0.387257i \(-0.873423\pi\)
0.221274 + 0.975212i \(0.428978\pi\)
\(420\) 2484.01 2712.77i 0.288588 0.315166i
\(421\) −10268.3 + 3737.34i −1.18870 + 0.432653i −0.859268 0.511525i \(-0.829081\pi\)
−0.329435 + 0.944178i \(0.606858\pi\)
\(422\) −339.297 7703.49i −0.0391392 0.888626i
\(423\) −5485.10 3847.35i −0.630483 0.442233i
\(424\) −10324.7 4262.75i −1.18258 0.488249i
\(425\) −7183.64 1266.67i −0.819900 0.144571i
\(426\) 403.398 4609.63i 0.0458796 0.524266i
\(427\) 3735.75 10263.9i 0.423385 1.16324i
\(428\) −6885.78 + 6896.34i −0.777656 + 0.778848i
\(429\) −14776.0 + 639.121i −1.66291 + 0.0719279i
\(430\) 2087.49 865.602i 0.234111 0.0970768i
\(431\) −14099.8 −1.57579 −0.787893 0.615813i \(-0.788828\pi\)
−0.787893 + 0.615813i \(0.788828\pi\)
\(432\) 1174.78 + 8901.77i 0.130837 + 0.991404i
\(433\) −1388.77 −0.154134 −0.0770669 0.997026i \(-0.524556\pi\)
−0.0770669 + 0.997026i \(0.524556\pi\)
\(434\) 2412.61 1000.42i 0.266841 0.110649i
\(435\) 577.588 1108.44i 0.0636625 0.122173i
\(436\) 941.869 943.313i 0.103457 0.103616i
\(437\) −4237.29 + 11641.9i −0.463838 + 1.27438i
\(438\) 5364.28 2501.26i 0.585195 0.272864i
\(439\) 1013.12 + 178.641i 0.110145 + 0.0194216i 0.228449 0.973556i \(-0.426635\pi\)
−0.118304 + 0.992977i \(0.537746\pi\)
\(440\) −2790.81 1152.24i −0.302378 0.124842i
\(441\) −9491.03 + 9475.63i −1.02484 + 1.02318i
\(442\) 511.179 + 11605.9i 0.0550098 + 1.24896i
\(443\) −5380.26 + 1958.26i −0.577030 + 0.210022i −0.614015 0.789294i \(-0.710447\pi\)
0.0369856 + 0.999316i \(0.488224\pi\)
\(444\) −4478.52 14186.3i −0.478696 1.51633i
\(445\) 1416.69 1188.74i 0.150915 0.126633i
\(446\) 8397.90 1865.14i 0.891597 0.198020i
\(447\) 4364.12 13821.6i 0.461780 1.46251i
\(448\) 8537.88 + 12133.9i 0.900395 + 1.27963i
\(449\) 11828.0 6828.87i 1.24320 0.717761i 0.273454 0.961885i \(-0.411834\pi\)
0.969744 + 0.244124i \(0.0785006\pi\)
\(450\) 5970.89 6510.47i 0.625489 0.682014i
\(451\) 9744.42 + 5625.94i 1.01740 + 0.587396i
\(452\) 1523.55 + 3260.74i 0.158543 + 0.339319i
\(453\) −94.3273 + 122.826i −0.00978340 + 0.0127393i
\(454\) 903.242 828.305i 0.0933728 0.0856262i
\(455\) 1000.79 + 5675.79i 0.103116 + 0.584802i
\(456\) 14314.3 + 5197.96i 1.47002 + 0.533808i
\(457\) 13199.2 + 11075.4i 1.35105 + 1.13367i 0.978635 + 0.205603i \(0.0659156\pi\)
0.372418 + 0.928065i \(0.378529\pi\)
\(458\) 3638.39 6995.81i 0.371202 0.713740i
\(459\) 7025.34 5377.15i 0.714411 0.546806i
\(460\) 1912.97 1341.66i 0.193897 0.135989i
\(461\) −425.375 + 506.942i −0.0429754 + 0.0512161i −0.787104 0.616820i \(-0.788421\pi\)
0.744129 + 0.668036i \(0.232865\pi\)
\(462\) 16867.0 + 7865.69i 1.69854 + 0.792089i
\(463\) 216.363 38.1506i 0.0217175 0.00382939i −0.162779 0.986663i \(-0.552046\pi\)
0.184496 + 0.982833i \(0.440935\pi\)
\(464\) 3867.08 + 3234.78i 0.386906 + 0.323644i
\(465\) −467.197 + 193.297i −0.0465929 + 0.0192773i
\(466\) −6113.89 + 7974.09i −0.607769 + 0.792688i
\(467\) −6228.32 + 10787.8i −0.617157 + 1.06895i 0.372845 + 0.927894i \(0.378382\pi\)
−0.990002 + 0.141054i \(0.954951\pi\)
\(468\) −12183.7 7035.02i −1.20340 0.694859i
\(469\) 2286.33 + 3960.05i 0.225103 + 0.389889i
\(470\) 2124.90 + 278.921i 0.208541 + 0.0273738i
\(471\) −2026.35 9157.86i −0.198236 0.895906i
\(472\) −7515.29 + 8220.44i −0.732880 + 0.801645i
\(473\) 7349.74 + 8759.08i 0.714464 + 0.851465i
\(474\) 5579.68 1494.93i 0.540682 0.144862i
\(475\) −5124.44 14079.3i −0.495001 1.36000i
\(476\) 6167.96 13253.7i 0.593924 1.27623i
\(477\) −12075.3 5642.73i −1.15910 0.541641i
\(478\) −364.053 570.966i −0.0348355 0.0546347i
\(479\) −2649.59 + 15026.6i −0.252741 + 1.43336i 0.549065 + 0.835779i \(0.314984\pi\)
−0.801806 + 0.597584i \(0.796127\pi\)
\(480\) −1650.95 2350.24i −0.156990 0.223486i
\(481\) 21903.7 + 7972.31i 2.07635 + 0.755730i
\(482\) 11218.8 + 3532.55i 1.06017 + 0.333824i
\(483\) −12150.0 + 7733.47i −1.14460 + 0.728540i
\(484\) 399.904 4611.59i 0.0375567 0.433095i
\(485\) 4593.61i 0.430073i
\(486\) 916.210 + 10674.8i 0.0855147 + 0.996337i
\(487\) 6002.97i 0.558563i −0.960209 0.279282i \(-0.909904\pi\)
0.960209 0.279282i \(-0.0900963\pi\)
\(488\) −7198.47 4574.31i −0.667744 0.424323i
\(489\) 7122.20 4533.27i 0.658644 0.419227i
\(490\) 1288.46 4091.94i 0.118789 0.377255i
\(491\) −6376.92 2321.01i −0.586123 0.213331i 0.0319005 0.999491i \(-0.489844\pi\)
−0.618023 + 0.786160i \(0.712066\pi\)
\(492\) 4945.73 + 9492.32i 0.453192 + 0.869810i
\(493\) 862.604 4892.07i 0.0788027 0.446912i
\(494\) −20119.9 + 12828.6i −1.83247 + 1.16840i
\(495\) −3263.98 1525.25i −0.296374 0.138495i
\(496\) −357.219 2007.90i −0.0323379 0.181769i
\(497\) −3120.44 8573.33i −0.281631 0.773775i
\(498\) −775.130 2893.09i −0.0697478 0.260326i
\(499\) 3922.72 + 4674.92i 0.351914 + 0.419395i 0.912741 0.408538i \(-0.133961\pi\)
−0.560827 + 0.827933i \(0.689517\pi\)
\(500\) −1517.32 + 5680.10i −0.135713 + 0.508044i
\(501\) 106.745 + 482.420i 0.00951895 + 0.0430199i
\(502\) 2830.73 21565.3i 0.251677 1.91735i
\(503\) 1596.09 + 2764.51i 0.141483 + 0.245057i 0.928055 0.372442i \(-0.121479\pi\)
−0.786572 + 0.617499i \(0.788146\pi\)
\(504\) 9517.26 + 14928.0i 0.841136 + 1.31934i
\(505\) −1388.79 + 2405.45i −0.122377 + 0.211962i
\(506\) 9382.04 + 7193.38i 0.824273 + 0.631986i
\(507\) 9820.93 4063.29i 0.860282 0.355931i
\(508\) −15710.6 + 4222.54i −1.37214 + 0.368789i
\(509\) 17860.9 3149.36i 1.55535 0.274249i 0.671134 0.741336i \(-0.265808\pi\)
0.884211 + 0.467087i \(0.154697\pi\)
\(510\) −1196.04 + 2564.77i −0.103846 + 0.222686i
\(511\) 7501.35 8939.76i 0.649394 0.773917i
\(512\) 10688.0 4470.34i 0.922555 0.385865i
\(513\) 16780.0 + 6974.48i 1.44416 + 0.600255i
\(514\) −8035.58 4179.15i −0.689560 0.358627i
\(515\) 387.312 + 324.993i 0.0331398 + 0.0278076i
\(516\) 1423.60 + 10783.3i 0.121454 + 0.919977i
\(517\) 1882.98 + 10678.9i 0.160181 + 0.908430i
\(518\) −19824.5 21618.1i −1.68154 1.83367i
\(519\) 1294.50 1685.61i 0.109484 0.142563i
\(520\) 4496.25 + 191.136i 0.379180 + 0.0161190i
\(521\) −13408.2 7741.22i −1.12749 0.650958i −0.184189 0.982891i \(-0.558966\pi\)
−0.943303 + 0.331933i \(0.892299\pi\)
\(522\) 4433.64 + 4066.18i 0.371753 + 0.340942i
\(523\) −13267.8 + 7660.17i −1.10929 + 0.640451i −0.938646 0.344881i \(-0.887919\pi\)
−0.170647 + 0.985332i \(0.554586\pi\)
\(524\) 8632.58 + 6034.75i 0.719687 + 0.503109i
\(525\) 5244.37 16609.5i 0.435968 1.38076i
\(526\) 4186.85 + 18851.5i 0.347063 + 1.56267i
\(527\) −1539.33 + 1291.65i −0.127238 + 0.106765i
\(528\) 8833.72 11539.2i 0.728103 0.951097i
\(529\) 2836.05 1032.24i 0.233094 0.0848392i
\(530\) 4259.38 187.603i 0.349086 0.0153754i
\(531\) −9405.32 + 9390.06i −0.768656 + 0.767409i
\(532\) 29910.5 2639.91i 2.43757 0.215140i
\(533\) −16516.2 2912.26i −1.34221 0.236668i
\(534\) 3761.60 + 8067.27i 0.304832 + 0.653755i
\(535\) 1272.22 3495.40i 0.102809 0.282466i
\(536\) 3404.08 1077.60i 0.274317 0.0868382i
\(537\) 6745.53 12945.2i 0.542069 1.04027i
\(538\) −5198.67 12537.1i −0.416599 1.00467i
\(539\) 21706.3 1.73461
\(540\) −1840.11 2891.28i −0.146640 0.230409i
\(541\) 7024.43 0.558232 0.279116 0.960257i \(-0.409959\pi\)
0.279116 + 0.960257i \(0.409959\pi\)
\(542\) 1274.10 + 3072.61i 0.100972 + 0.243505i
\(543\) −459.661 + 19.8822i −0.0363277 + 0.00157132i
\(544\) −9069.39 6931.64i −0.714792 0.546308i
\(545\) −174.020 + 478.117i −0.0136775 + 0.0375785i
\(546\) −27634.0 2418.31i −2.16599 0.189550i
\(547\) −9911.71 1747.70i −0.774761 0.136611i −0.227731 0.973724i \(-0.573131\pi\)
−0.547030 + 0.837113i \(0.684242\pi\)
\(548\) −477.303 5407.90i −0.0372069 0.421559i
\(549\) −8331.81 5844.09i −0.647711 0.454316i
\(550\) −14283.7 + 629.119i −1.10738 + 0.0487740i
\(551\) 9588.01 3489.75i 0.741312 0.269816i
\(552\) 3854.24 + 10565.0i 0.297187 + 0.814633i
\(553\) 8724.84 7321.01i 0.670919 0.562968i
\(554\) 302.026 + 1359.89i 0.0231622 + 0.104289i
\(555\) 3834.41 + 4187.94i 0.293264 + 0.320303i
\(556\) 9070.23 12974.8i 0.691841 0.989664i
\(557\) −5493.15 + 3171.47i −0.417867 + 0.241256i −0.694164 0.719816i \(-0.744226\pi\)
0.276297 + 0.961072i \(0.410893\pi\)
\(558\) −316.605 2412.85i −0.0240196 0.183054i
\(559\) −14759.4 8521.35i −1.11674 0.644749i
\(560\) −4908.65 2823.99i −0.370408 0.213099i
\(561\) −14195.5 1874.73i −1.06833 0.141090i
\(562\) 10242.3 + 11168.9i 0.768765 + 0.838316i
\(563\) −1625.53 9218.81i −0.121683 0.690101i −0.983223 0.182410i \(-0.941610\pi\)
0.861539 0.507691i \(1.83050\pi\)
\(564\) −3944.00 + 9531.36i −0.294455 + 0.711601i
\(565\) −1052.35 883.025i −0.0783586 0.0657507i
\(566\) −9904.27 5151.02i −0.735526 0.382532i
\(567\) 10532.7 + 18311.8i 0.780129 + 1.35631i
\(568\) −7062.10 + 937.997i −0.521688 + 0.0692913i
\(569\) −13846.5 + 16501.6i −1.02017 + 1.21579i −0.0439422 + 0.999034i \(0.513992\pi\)
−0.976226 + 0.216755i \(0.930453\pi\)
\(570\) −5790.60 + 506.477i −0.425512 + 0.0372175i
\(571\) 14813.9 2612.08i 1.08571 0.191440i 0.397971 0.917398i \(-0.369714\pi\)
0.687739 + 0.725958i \(0.258603\pi\)
\(572\) 5910.24 + 21989.9i 0.432027 + 1.60742i
\(573\) 2031.58 15383.1i 0.148116 1.12153i
\(574\) 16747.9 + 12840.9i 1.21784 + 0.933744i
\(575\) 5532.21 9582.07i 0.401233 0.694956i
\(576\) 12983.3 4747.38i 0.939184 0.343416i
\(577\) −124.722 216.024i −0.00899867 0.0155862i 0.861491 0.507773i \(-0.169531\pi\)
−0.870490 + 0.492187i \(0.836198\pi\)
\(578\) 344.741 2626.34i 0.0248085 0.188999i
\(579\) −13355.4 + 12228.0i −0.958606 + 0.877685i
\(580\) −1859.15 496.632i −0.133098 0.0355544i
\(581\) −3795.98 4523.87i −0.271056 0.323032i
\(582\) −21356.1 5722.88i −1.52103 0.407596i
\(583\) 7378.13 + 20271.2i 0.524135 + 1.44005i
\(584\) −5555.66 7223.09i −0.393656 0.511804i
\(585\) 5349.14 + 472.367i 0.378051 + 0.0333845i
\(586\) −18986.3 + 12105.9i −1.33843 + 0.853393i
\(587\) −793.047 + 4497.59i −0.0557624 + 0.316244i −0.999912 0.0132730i \(-0.995775\pi\)
0.944149 + 0.329517i \(0.106886\pi\)
\(588\) 17418.6 + 11088.1i 1.22165 + 0.777659i
\(589\) −3878.52 1411.67i −0.271327 0.0987550i
\(590\) 1276.83 4054.99i 0.0890951 0.282951i
\(591\) 880.303 + 20351.9i 0.0612704 + 1.41652i
\(592\) −19817.6 + 11482.2i −1.37584 + 0.797156i
\(593\) 5805.25i 0.402012i 0.979590 + 0.201006i \(0.0644211\pi\)
−0.979590 + 0.201006i \(0.935579\pi\)
\(594\) 11157.4 13274.3i 0.770696 0.916923i
\(595\) 5579.79i 0.384452i
\(596\) −22231.9 1927.89i −1.52794 0.132499i
\(597\) 363.602 + 189.467i 0.0249267 + 0.0129889i
\(598\) −16807.7 5292.38i −1.14936 0.361909i
\(599\) 9025.10 + 3284.87i 0.615619 + 0.224067i 0.630960 0.775815i \(-0.282661\pi\)
−0.0153412 + 0.999882i \(0.504883\pi\)
\(600\) −11783.6 6791.58i −0.801770 0.462109i
\(601\) 1317.53 7472.07i 0.0894227 0.507141i −0.906892 0.421364i \(-0.861551\pi\)
0.996314 0.0857774i \(-0.0273374\pi\)
\(602\) 11529.8 + 18082.9i 0.780597 + 1.22426i
\(603\) 4116.27 1099.37i 0.277989 0.0742451i
\(604\) 216.172 + 100.601i 0.0145628 + 0.00677715i
\(605\) 604.282 + 1660.25i 0.0406075 + 0.111568i
\(606\) −9452.94 9453.37i −0.633662 0.633692i
\(607\) 233.834 + 278.673i 0.0156360 + 0.0186342i 0.773806 0.633423i \(-0.218351\pi\)
−0.758170 + 0.652057i \(0.773906\pi\)
\(608\) 3015.86 23251.6i 0.201167 1.55095i
\(609\) 11311.1 + 3571.42i 0.752625 + 0.237638i
\(610\) 3227.71 + 423.679i 0.214239 + 0.0281217i
\(611\) −8081.27 13997.2i −0.535079 0.926784i
\(612\) −10433.8 8755.78i −0.689149 0.578319i
\(613\) 10369.7 17960.8i 0.683243 1.18341i −0.290743 0.956801i \(-0.593902\pi\)
0.973986 0.226610i \(-0.0727642\pi\)
\(614\) 10852.7 14154.8i 0.713324 0.930359i
\(615\) −3240.16 2488.35i −0.212449 0.163155i
\(616\) 6169.58 27981.2i 0.403538 1.83019i
\(617\) −2201.22 + 388.134i −0.143627 + 0.0253253i −0.244999 0.969523i \(-0.578788\pi\)
0.101372 + 0.994849i \(0.467677\pi\)
\(618\) −1993.45 + 1395.76i −0.129754 + 0.0908506i
\(619\) 8991.32 10715.4i 0.583832 0.695783i −0.390576 0.920571i \(-0.627724\pi\)
0.974408 + 0.224787i \(0.0721687\pi\)
\(620\) 446.977 + 637.310i 0.0289533 + 0.0412822i
\(621\) 4019.68 + 12803.2i 0.259749 + 0.827331i
\(622\) −82.0365 + 157.738i −0.00528837 + 0.0101684i
\(623\) 13444.4 + 11281.2i 0.864587 + 0.725475i
\(624\) −6490.18 + 20665.3i −0.416371 + 1.32576i
\(625\) 2121.19 + 12029.9i 0.135756 + 0.769912i
\(626\) 9151.32 8392.09i 0.584282 0.535807i
\(627\) −11244.0 27176.5i −0.716173 1.73098i
\(628\) −13082.8 + 6112.83i −0.831309 + 0.388421i
\(629\) 19543.7 + 11283.5i 1.23888 + 0.715269i
\(630\) −5697.54 3633.17i −0.360310 0.229760i
\(631\) 18575.5 10724.5i 1.17191 0.676605i 0.217784 0.975997i \(-0.430117\pi\)
0.954130 + 0.299392i \(0.0967840\pi\)
\(632\) −4115.61 7883.88i −0.259035 0.496209i
\(633\) −13831.4 + 3060.46i −0.868481 + 0.192168i
\(634\) −19377.6 + 4303.70i −1.21385 + 0.269592i
\(635\) 4756.67 3991.32i 0.297264 0.249434i
\(636\) −4434.30 + 20035.9i −0.276465 + 1.24918i
\(637\) −30402.2 + 11065.5i −1.89102 + 0.688275i
\(638\) −428.431 9727.21i −0.0265858 0.603611i
\(639\) −8469.05 + 734.017i −0.524304 + 0.0454417i
\(640\) −2978.69 + 3268.21i −0.183973 + 0.201855i
\(641\) 10084.8 + 1778.23i 0.621414 + 0.109572i 0.475486 0.879723i \(-0.342272\pi\)
0.145928 + 0.989295i \(0.453383\pi\)
\(642\) 14665.5 + 10269.4i 0.901556 + 0.631308i
\(643\) 2497.62 6862.16i 0.153183 0.420866i −0.839236 0.543767i \(-0.816997\pi\)
0.992419 + 0.122901i \(0.0392197\pi\)
\(644\) 15691.3 + 15667.3i 0.960133 + 0.958663i
\(645\) −2229.22 3502.32i −0.136086 0.213804i
\(646\) −21339.9 + 8848.85i −1.29970 + 0.538937i
\(647\) 29683.8 1.80370 0.901848 0.432054i \(-0.142211\pi\)
0.901848 + 0.432054i \(0.142211\pi\)
\(648\) 15734.3 4952.78i 0.953860 0.300252i
\(649\) 21510.2 1.30100
\(650\) 19685.3 8162.74i 1.18788 0.492568i
\(651\) −2576.43 4047.81i −0.155112 0.243696i
\(652\) −9198.09 9184.02i −0.552493 0.551647i
\(653\) −4763.33 + 13087.1i −0.285457 + 0.784287i 0.711230 + 0.702959i \(0.248138\pi\)
−0.996687 + 0.0813281i \(0.974084\pi\)
\(654\) −2006.01 1404.69i −0.119941 0.0839874i
\(655\) −3959.18 698.110i −0.236180 0.0416449i
\(656\) 12607.5 10611.9i 0.750364 0.631591i
\(657\) −6229.53 8912.09i −0.369920 0.529214i
\(658\) 894.926 + 20318.6i 0.0530210 + 1.20380i
\(659\) 12416.1 4519.08i 0.733933 0.267130i 0.0521042 0.998642i \(-0.483407\pi\)
0.681829 + 0.731512i \(0.261185\pi\)
\(660\) −1198.61 + 5415.78i −0.0706904 + 0.319407i
\(661\) −13862.5 + 11632.1i −0.815719 + 0.684470i −0.951965 0.306205i \(-0.900941\pi\)
0.136246 + 0.990675i \(0.456496\pi\)
\(662\) 11575.5 2570.88i 0.679600 0.150937i
\(663\) 20838.1 4610.83i 1.22064 0.270090i
\(664\) −4087.83 + 2133.96i −0.238913 + 0.124719i
\(665\) −9925.44 + 5730.46i −0.578785 + 0.334162i
\(666\) −24247.1 + 12609.0i −1.41075 + 0.733619i
\(667\) 6525.40 + 3767.44i 0.378808 + 0.218705i
\(668\) 689.182 322.013i 0.0399180 0.0186513i
\(669\) −6041.94 14603.3i −0.349170 0.843941i
\(670\) −1004.44 + 921.112i −0.0579180 + 0.0531129i
\(671\) 2860.23 + 16221.2i 0.164557 + 0.933252i
\(672\) 19244.3 19302.5i 1.10471 1.10805i
\(673\) 2171.45 + 1822.07i 0.124374 + 0.104362i 0.702853 0.711335i \(-0.251909\pi\)
−0.578479 + 0.815697i \(0.696354\pi\)
\(674\) −9575.88 + 18412.3i −0.547254 + 1.05225i
\(675\) −13676.7 8736.45i −0.779875 0.498172i
\(676\) −9395.90 13396.9i −0.534587 0.762226i
\(677\) 4873.54 5808.06i 0.276670 0.329722i −0.609759 0.792587i \(-0.708734\pi\)
0.886429 + 0.462865i \(0.153178\pi\)
\(678\) 5416.31 3792.36i 0.306803 0.214815i
\(679\) −42931.2 + 7569.93i −2.42643 + 0.427846i
\(680\) 4254.78 + 938.135i 0.239946 + 0.0529056i
\(681\) −1785.64 1371.32i −0.100479 0.0771647i
\(682\) −2396.50 + 3125.65i −0.134555 + 0.175495i
\(683\) −9062.12 + 15696.1i −0.507690 + 0.879345i 0.492270 + 0.870442i \(0.336167\pi\)
−0.999960 + 0.00890280i \(0.997166\pi\)
\(684\) 4859.47 27552.0i 0.271647 1.54017i
\(685\) 1036.08 + 1794.55i 0.0577907 + 0.100097i
\(686\) 12492.1 + 1639.75i 0.695264 + 0.0912624i
\(687\) −13814.1 4361.75i −0.767164 0.242228i
\(688\) 15727.3 5751.57i 0.871510 0.318716i
\(689\) −20667.9 24631.0i −1.14279 1.36193i
\(690\) −3035.20 3035.34i −0.167461 0.167469i
\(691\) 5193.08 + 14267.9i 0.285896 + 0.785492i 0.996630 + 0.0820314i \(0.0261408\pi\)
−0.710734 + 0.703461i \(0.751637\pi\)
\(692\) −2966.64 1380.60i −0.162969 0.0758419i
\(693\) 8875.93 33018.2i 0.486535 1.80989i
\(694\) −7853.40 12317.0i −0.429555 0.673696i
\(695\) −1049.26 + 5950.65i −0.0572672 + 0.324778i
\(696\) 4625.08 8024.63i 0.251887 0.437030i
\(697\) −15257.7 5553.34i −0.829162 0.301790i
\(698\) −21184.7 6670.59i −1.14878 0.361727i
\(699\) 16370.5 + 8530.37i 0.885819 + 0.461586i
\(700\) −26716.2 2316.75i −1.44254 0.125093i
\(701\) 33264.7i 1.79228i 0.443770 + 0.896141i \(0.353641\pi\)
−0.443770 + 0.896141i \(0.646359\pi\)
\(702\) −8860.22 + 24280.1i −0.476364 + 1.30541i
\(703\) 46352.9i 2.48682i
\(704\) −20299.4 9409.03i −1.08673 0.503716i
\(705\) −170.140 3933.50i −0.00908916 0.210134i
\(706\) −1185.24 + 3764.14i −0.0631831 + 0.200659i
\(707\) −24769.6 9015.38i −1.31762 0.479573i
\(708\) 17261.3 + 10987.9i 0.916270 + 0.583265i
\(709\) 4391.56 24905.8i 0.232621 1.31926i −0.614944 0.788571i \(-0.710821\pi\)
0.847565 0.530691i \(-0.178067\pi\)
\(710\) 2292.79 1461.90i 0.121193 0.0772736i
\(711\) −4477.04 9621.44i −0.236149 0.507499i
\(712\) 10862.7 8355.09i 0.571765 0.439775i
\(713\) −1042.48 2864.18i −0.0547560 0.150441i
\(714\) −25940.9 6951.49i −1.35968 0.364360i
\(715\) −5586.60 6657.85i −0.292205 0.348237i
\(716\) −21712.6 5800.07i −1.13330 0.302736i
\(717\) −917.522 + 840.069i −0.0477901 + 0.0437558i
\(718\) −24.4460 + 186.236i −0.00127063 + 0.00968006i
\(719\) 11833.1 + 20495.6i 0.613771 + 1.06308i 0.990599 + 0.136799i \(0.0436815\pi\)
−0.376828 + 0.926283i \(0.622985\pi\)
\(720\) −3728.35 + 3733.72i −0.192982 + 0.193260i
\(721\) −2399.08 + 4155.32i −0.123920 + 0.214636i
\(722\) −22260.9 17067.9i −1.14746 0.879780i
\(723\) 2829.09 21421.8i 0.145525 1.10192i
\(724\) 183.860 + 684.079i 0.00943799 + 0.0351155i
\(725\) −8974.01 + 1582.36i −0.459705 + 0.0810584i
\(726\) −8471.49 + 740.962i −0.433067 + 0.0378783i
\(727\) 13722.0 16353.2i 0.700027 0.834260i −0.292502 0.956265i \(-0.594488\pi\)
0.992529 + 0.122005i \(0.0389324\pi\)
\(728\) 5623.15 + 42336.2i 0.286274 + 2.15534i
\(729\) 19024.7 5048.00i 0.966553 0.256465i
\(730\) 3085.78 + 1604.86i 0.156452 + 0.0813676i
\(731\) −12639.7 10605.9i −0.639528 0.536627i
\(732\) −5990.91 + 14478.1i −0.302500 + 0.731044i
\(733\) 1430.03 + 8110.08i 0.0720590 + 0.408667i 0.999406 + 0.0344641i \(0.0109724\pi\)
−0.927347 + 0.374203i \(0.877916\pi\)
\(734\) 1160.65 + 1265.65i 0.0583656 + 0.0636460i
\(735\) −7813.40 1031.88i −0.392111 0.0517844i
\(736\) 14585.1 9331.02i 0.730452 0.467318i
\(737\) −5971.80 3447.82i −0.298472 0.172323i
\(738\) 15605.3 11963.7i 0.778371 0.596735i
\(739\) 30396.1 17549.2i 1.51304 0.873556i 0.513160 0.858293i \(-0.328475\pi\)
0.999884 0.0152627i \(-0.00485845\pi\)
\(740\) 5008.78 7164.95i 0.248820 0.355931i
\(741\) 29602.7 + 32332.0i 1.46759 + 1.60290i
\(742\) 8772.44 + 39498.3i 0.434025 + 1.95422i
\(743\) 17954.8 15065.8i 0.886536 0.743892i −0.0809764 0.996716i \(-0.525804\pi\)
0.967512 + 0.252824i \(0.0813594\pi\)
\(744\) −3519.77 + 1284.05i −0.173442 + 0.0632737i
\(745\) 8003.87 2913.17i 0.393610 0.143262i
\(746\) 18843.6 829.956i 0.924814 0.0407331i
\(747\) −4988.76 + 2321.37i −0.244350 + 0.113701i
\(748\) 1938.18 + 21959.7i 0.0947416 + 1.07343i
\(749\) 34764.0 + 6129.84i 1.69593 + 0.299038i
\(750\) 10759.8 + 941.610i 0.523856 + 0.0458436i
\(751\) −2242.45 + 6161.09i −0.108959 + 0.299362i −0.982174 0.187972i \(-0.939809\pi\)
0.873215 + 0.487335i \(0.162031\pi\)
\(752\) 15644.1 + 2733.78i 0.758620 + 0.132568i
\(753\) −39920.6 + 1726.73i −1.93199 + 0.0835665i
\(754\) 5558.84 + 13405.7i 0.268489 + 0.647489i