Properties

Label 108.4.l.a.11.20
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 11.20
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.20

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.11352 - 2.60001i) q^{2} +(-0.629751 - 5.15785i) q^{3} +(-5.52015 + 5.79033i) q^{4} +(4.68740 - 12.8785i) q^{5} +(-12.7092 + 7.38072i) q^{6} +(-21.3342 - 3.76180i) q^{7} +(21.2017 + 7.90483i) q^{8} +(-26.2068 + 6.49632i) q^{9} +O(q^{10})\) \(q+(-1.11352 - 2.60001i) q^{2} +(-0.629751 - 5.15785i) q^{3} +(-5.52015 + 5.79033i) q^{4} +(4.68740 - 12.8785i) q^{5} +(-12.7092 + 7.38072i) q^{6} +(-21.3342 - 3.76180i) q^{7} +(21.2017 + 7.90483i) q^{8} +(-26.2068 + 6.49632i) q^{9} +(-38.7038 + 2.15317i) q^{10} +(21.5280 - 7.83555i) q^{11} +(33.3420 + 24.8256i) q^{12} +(15.3981 - 12.9206i) q^{13} +(13.9753 + 59.6582i) q^{14} +(-69.3773 - 16.0666i) q^{15} +(-3.05586 - 63.9270i) q^{16} +(-99.6316 + 57.5223i) q^{17} +(46.0723 + 60.9044i) q^{18} +(50.4854 + 29.1478i) q^{19} +(48.6957 + 98.2329i) q^{20} +(-5.96756 + 112.408i) q^{21} +(-44.3444 - 47.2481i) q^{22} +(11.3991 + 64.6474i) q^{23} +(27.4201 - 114.333i) q^{24} +(-48.1289 - 40.3849i) q^{25} +(-50.7398 - 25.6481i) q^{26} +(50.0108 + 131.080i) q^{27} +(139.550 - 102.767i) q^{28} +(133.108 - 158.632i) q^{29} +(35.4795 + 198.273i) q^{30} +(-169.958 + 29.9682i) q^{31} +(-162.808 + 79.1292i) q^{32} +(-53.9719 - 106.104i) q^{33} +(260.501 + 194.991i) q^{34} +(-148.448 + 257.120i) q^{35} +(107.050 - 187.607i) q^{36} +(-182.946 - 316.872i) q^{37} +(19.5682 - 163.719i) q^{38} +(-76.3394 - 71.2846i) q^{39} +(201.183 - 235.994i) q^{40} +(-234.229 - 279.143i) q^{41} +(298.907 - 109.652i) q^{42} +(-141.773 - 389.519i) q^{43} +(-73.4674 + 167.908i) q^{44} +(-39.1789 + 367.956i) q^{45} +(155.391 - 101.624i) q^{46} +(41.1721 - 233.498i) q^{47} +(-327.801 + 56.0197i) q^{48} +(118.684 + 43.1974i) q^{49} +(-51.4090 + 170.105i) q^{50} +(359.435 + 477.660i) q^{51} +(-10.1857 + 160.484i) q^{52} +105.884i q^{53} +(285.121 - 275.989i) q^{54} -313.977i q^{55} +(-422.586 - 248.400i) q^{56} +(118.547 - 278.752i) q^{57} +(-560.663 - 169.443i) q^{58} +(537.885 + 195.774i) q^{59} +(476.004 - 313.027i) q^{60} +(17.2414 - 97.7806i) q^{61} +(267.169 + 408.523i) q^{62} +(583.540 - 40.0091i) q^{63} +(387.027 + 335.192i) q^{64} +(-94.2207 - 258.869i) q^{65} +(-215.773 + 258.476i) q^{66} +(-569.748 - 679.000i) q^{67} +(216.908 - 894.432i) q^{68} +(326.263 - 99.5064i) q^{69} +(833.816 + 99.6598i) q^{70} +(363.129 + 628.958i) q^{71} +(-606.983 - 69.4273i) q^{72} +(-309.276 + 535.681i) q^{73} +(-620.159 + 828.507i) q^{74} +(-177.990 + 273.674i) q^{75} +(-447.463 + 131.427i) q^{76} +(-488.759 + 86.1814i) q^{77} +(-100.336 + 277.860i) q^{78} +(33.9905 - 40.5083i) q^{79} +(-837.609 - 260.296i) q^{80} +(644.596 - 340.496i) q^{81} +(-464.958 + 919.830i) q^{82} +(-133.135 - 111.713i) q^{83} +(-617.936 - 655.062i) q^{84} +(273.789 + 1552.74i) q^{85} +(-854.889 + 802.350i) q^{86} +(-902.023 - 586.651i) q^{87} +(518.370 + 4.04789i) q^{88} +(-283.857 - 163.885i) q^{89} +(1000.32 - 307.860i) q^{90} +(-377.112 + 217.726i) q^{91} +(-437.254 - 290.859i) q^{92} +(261.603 + 857.746i) q^{93} +(-652.945 + 152.957i) q^{94} +(612.025 - 513.550i) q^{95} +(510.665 + 789.909i) q^{96} +(830.928 - 302.433i) q^{97} +(-19.8429 - 356.681i) q^{98} +(-513.278 + 345.198i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.11352 2.60001i −0.393688 0.919244i
\(3\) −0.629751 5.15785i −0.121196 0.992629i
\(4\) −5.52015 + 5.79033i −0.690019 + 0.723791i
\(5\) 4.68740 12.8785i 0.419253 1.15189i −0.532876 0.846193i \(-0.678889\pi\)
0.952129 0.305696i \(-0.0988891\pi\)
\(6\) −12.7092 + 7.38072i −0.864755 + 0.502195i
\(7\) −21.3342 3.76180i −1.15194 0.203118i −0.435118 0.900374i \(-0.643293\pi\)
−0.716823 + 0.697255i \(0.754404\pi\)
\(8\) 21.2017 + 7.90483i 0.936993 + 0.349347i
\(9\) −26.2068 + 6.49632i −0.970623 + 0.240604i
\(10\) −38.7038 + 2.15317i −1.22392 + 0.0680893i
\(11\) 21.5280 7.83555i 0.590085 0.214773i −0.0296817 0.999559i \(-0.509449\pi\)
0.619767 + 0.784786i \(0.287227\pi\)
\(12\) 33.3420 + 24.8256i 0.802083 + 0.597212i
\(13\) 15.3981 12.9206i 0.328514 0.275656i −0.463580 0.886055i \(-0.653435\pi\)
0.792094 + 0.610399i \(0.208991\pi\)
\(14\) 13.9753 + 59.6582i 0.266790 + 1.13888i
\(15\) −69.3773 16.0666i −1.19421 0.276559i
\(16\) −3.05586 63.9270i −0.0477478 0.998859i
\(17\) −99.6316 + 57.5223i −1.42142 + 0.820660i −0.996421 0.0845322i \(-0.973060\pi\)
−0.425003 + 0.905192i \(0.639727\pi\)
\(18\) 46.0723 + 60.9044i 0.603297 + 0.797516i
\(19\) 50.4854 + 29.1478i 0.609587 + 0.351945i 0.772804 0.634645i \(-0.218854\pi\)
−0.163217 + 0.986590i \(0.552187\pi\)
\(20\) 48.6957 + 98.2329i 0.544435 + 1.09828i
\(21\) −5.96756 + 112.408i −0.0620109 + 1.16807i
\(22\) −44.3444 47.2481i −0.429739 0.457878i
\(23\) 11.3991 + 64.6474i 0.103342 + 0.586083i 0.991870 + 0.127259i \(0.0406180\pi\)
−0.888527 + 0.458824i \(0.848271\pi\)
\(24\) 27.4201 114.333i 0.233213 0.972426i
\(25\) −48.1289 40.3849i −0.385031 0.323080i
\(26\) −50.7398 25.6481i −0.382727 0.193462i
\(27\) 50.0108 + 131.080i 0.356466 + 0.934308i
\(28\) 139.550 102.767i 0.941876 0.693609i
\(29\) 133.108 158.632i 0.852327 1.01576i −0.147317 0.989089i \(-0.547064\pi\)
0.999644 0.0266747i \(-0.00849183\pi\)
\(30\) 35.4795 + 198.273i 0.215921 + 1.20665i
\(31\) −169.958 + 29.9682i −0.984689 + 0.173627i −0.642734 0.766089i \(-0.722200\pi\)
−0.341955 + 0.939716i \(0.611089\pi\)
\(32\) −162.808 + 79.1292i −0.899398 + 0.437131i
\(33\) −53.9719 106.104i −0.284706 0.559706i
\(34\) 260.501 + 194.991i 1.31398 + 0.983551i
\(35\) −148.448 + 257.120i −0.716925 + 1.24175i
\(36\) 107.050 187.607i 0.495601 0.868550i
\(37\) −182.946 316.872i −0.812870 1.40793i −0.910847 0.412744i \(-0.864570\pi\)
0.0979765 0.995189i \(-0.468763\pi\)
\(38\) 19.5682 163.719i 0.0835362 0.698916i
\(39\) −76.3394 71.2846i −0.313438 0.292684i
\(40\) 201.183 235.994i 0.795247 0.932847i
\(41\) −234.229 279.143i −0.892206 1.06329i −0.997626 0.0688616i \(-0.978063\pi\)
0.105421 0.994428i \(-0.466381\pi\)
\(42\) 298.907 109.652i 1.09815 0.402851i
\(43\) −141.773 389.519i −0.502797 1.38142i −0.888533 0.458813i \(-0.848275\pi\)
0.385736 0.922609i \(1.62605\pi\)
\(44\) −73.4674 + 167.908i −0.251719 + 0.575296i
\(45\) −39.1789 + 367.956i −0.129788 + 1.21892i
\(46\) 155.391 101.624i 0.498069 0.325731i
\(47\) 41.1721 233.498i 0.127778 0.724665i −0.851841 0.523800i \(-0.824514\pi\)
0.979619 0.200864i \(-0.0643750\pi\)
\(48\) −327.801 + 56.0197i −0.985710 + 0.168453i
\(49\) 118.684 + 43.1974i 0.346017 + 0.125940i
\(50\) −51.4090 + 170.105i −0.145407 + 0.481130i
\(51\) 359.435 + 477.660i 0.986880 + 1.31149i
\(52\) −10.1857 + 160.484i −0.0271634 + 0.427983i
\(53\) 105.884i 0.274422i 0.990542 + 0.137211i \(0.0438138\pi\)
−0.990542 + 0.137211i \(0.956186\pi\)
\(54\) 285.121 275.989i 0.718521 0.695506i
\(55\) 313.977i 0.769757i
\(56\) −422.586 248.400i −1.00840 0.592748i
\(57\) 118.547 278.752i 0.275472 0.647748i
\(58\) −560.663 169.443i −1.26929 0.383602i
\(59\) 537.885 + 195.774i 1.18689 + 0.431994i 0.858632 0.512593i \(-0.171315\pi\)
0.328262 + 0.944587i \(0.393537\pi\)
\(60\) 476.004 313.027i 1.02420 0.673528i
\(61\) 17.2414 97.7806i 0.0361890 0.205238i −0.961352 0.275322i \(-0.911216\pi\)
0.997541 + 0.0700838i \(0.0223267\pi\)
\(62\) 267.169 + 408.523i 0.547267 + 0.836815i
\(63\) 583.540 40.0091i 1.16697 0.0800107i
\(64\) 387.027 + 335.192i 0.755913 + 0.654672i
\(65\) −94.2207 258.869i −0.179794 0.493981i
\(66\) −215.773 + 258.476i −0.402421 + 0.482064i
\(67\) −569.748 679.000i −1.03889 1.23810i −0.970665 0.240435i \(-0.922710\pi\)
−0.0682278 0.997670i \(1.47827\pi\)
\(68\) 216.908 894.432i 0.386823 1.59509i
\(69\) 326.263 99.5064i 0.569238 0.173611i
\(70\) 833.816 + 99.6598i 1.42372 + 0.170166i
\(71\) 363.129 + 628.958i 0.606979 + 1.05132i 0.991735 + 0.128300i \(0.0409521\pi\)
−0.384757 + 0.923018i \(0.625715\pi\)
\(72\) −606.983 69.4273i −0.993522 0.113640i
\(73\) −309.276 + 535.681i −0.495863 + 0.858859i −0.999989 0.00477095i \(-0.998481\pi\)
0.504126 + 0.863630i \(0.331815\pi\)
\(74\) −620.159 + 828.507i −0.974216 + 1.30151i
\(75\) −177.990 + 273.674i −0.274034 + 0.421349i
\(76\) −447.463 + 131.427i −0.675362 + 0.198365i
\(77\) −488.759 + 86.1814i −0.723367 + 0.127549i
\(78\) −100.336 + 277.860i −0.145651 + 0.403352i
\(79\) 33.9905 40.5083i 0.0484080 0.0576904i −0.741297 0.671177i \(-0.765789\pi\)
0.789705 + 0.613487i \(0.210234\pi\)
\(80\) −837.609 260.296i −1.17059 0.363775i
\(81\) 644.596 340.496i 0.884219 0.467072i
\(82\) −464.958 + 919.830i −0.626171 + 1.23876i
\(83\) −133.135 111.713i −0.176065 0.147736i 0.550497 0.834837i \(-0.314438\pi\)
−0.726562 + 0.687101i \(0.758883\pi\)
\(84\) −617.936 655.062i −0.802647 0.850871i
\(85\) 273.789 + 1552.74i 0.349372 + 1.98139i
\(86\) −854.889 + 802.350i −1.07192 + 1.00604i
\(87\) −902.023 586.651i −1.11157 0.722938i
\(88\) 518.370 + 4.04789i 0.627936 + 0.00490348i
\(89\) −283.857 163.885i −0.338076 0.195189i 0.321345 0.946962i \(-0.395865\pi\)
−0.659421 + 0.751774i \(0.729199\pi\)
\(90\) 1000.32 307.860i 1.17159 0.360570i
\(91\) −377.112 + 217.726i −0.434419 + 0.250812i
\(92\) −437.254 290.859i −0.495510 0.329610i
\(93\) 261.603 + 857.746i 0.291687 + 0.956388i
\(94\) −652.945 + 152.957i −0.716448 + 0.167833i
\(95\) 612.025 513.550i 0.660973 0.554623i
\(96\) 510.665 + 789.909i 0.542912 + 0.839790i
\(97\) 830.928 302.433i 0.869773 0.316572i 0.131698 0.991290i \(-0.457957\pi\)
0.738075 + 0.674718i \(0.235735\pi\)
\(98\) −19.8429 356.681i −0.0204534 0.367655i
\(99\) −513.278 + 345.198i −0.521075 + 0.350441i
\(100\) 499.521 55.7513i 0.499521 0.0557513i
\(101\) 1169.19 + 206.160i 1.15187 + 0.203106i 0.716792 0.697287i \(-0.245610\pi\)
0.435078 + 0.900393i \(0.356721\pi\)
\(102\) 841.686 1466.42i 0.817052 1.42350i
\(103\) 258.767 710.958i 0.247545 0.680124i −0.752230 0.658901i \(-0.771022\pi\)
0.999775 0.0212230i \(-0.00675601\pi\)
\(104\) 428.602 152.219i 0.404115 0.143522i
\(105\) 1419.67 + 603.753i 1.31948 + 0.561145i
\(106\) 275.301 117.904i 0.252261 0.108037i
\(107\) −169.166 −0.152840 −0.0764201 0.997076i \(-0.524349\pi\)
−0.0764201 + 0.997076i \(0.524349\pi\)
\(108\) −1035.06 434.001i −0.922213 0.386683i
\(109\) −100.382 −0.0882094 −0.0441047 0.999027i \(-0.514044\pi\)
−0.0441047 + 0.999027i \(0.514044\pi\)
\(110\) −816.345 + 349.619i −0.707595 + 0.303045i
\(111\) −1519.17 + 1143.16i −1.29904 + 0.977514i
\(112\) −175.286 + 1375.33i −0.147884 + 1.16032i
\(113\) −168.222 + 462.186i −0.140044 + 0.384768i −0.989810 0.142391i \(-0.954521\pi\)
0.849766 + 0.527160i \(0.176743\pi\)
\(114\) −856.764 + 2.17279i −0.703888 + 0.00178509i
\(115\) 885.994 + 156.225i 0.718429 + 0.126678i
\(116\) 183.755 + 1646.41i 0.147079 + 1.31780i
\(117\) −319.600 + 438.639i −0.252539 + 0.346600i
\(118\) −89.9296 1616.51i −0.0701584 1.26112i
\(119\) 2341.95 852.400i 1.80409 0.656634i
\(120\) −1343.92 889.057i −1.02235 0.676328i
\(121\) −617.546 + 518.183i −0.463972 + 0.389318i
\(122\) −273.430 + 64.0528i −0.202911 + 0.0475333i
\(123\) −1292.27 + 1383.91i −0.947320 + 1.01449i
\(124\) 764.669 1149.54i 0.553784 0.832516i
\(125\) 737.916 426.036i 0.528009 0.304846i
\(126\) −753.808 1472.66i −0.532972 1.04123i
\(127\) −360.410 208.083i −0.251821 0.145389i 0.368777 0.929518i \(-0.379777\pi\)
−0.620598 + 0.784129i \(0.713110\pi\)
\(128\) 440.543 1379.52i 0.304210 0.952605i
\(129\) −1919.80 + 976.546i −1.31030 + 0.666512i
\(130\) −568.147 + 533.231i −0.383306 + 0.359749i
\(131\) −473.606 2685.95i −0.315871 1.79140i −0.567291 0.823517i \(-0.692009\pi\)
0.251420 0.967878i \(1.58090\pi\)
\(132\) 912.309 + 273.194i 0.601563 + 0.180140i
\(133\) −967.420 811.762i −0.630721 0.529238i
\(134\) −1130.98 + 2237.43i −0.729120 + 1.44242i
\(135\) 1922.53 29.6418i 1.22567 0.0188975i
\(136\) −2567.07 + 432.002i −1.61856 + 0.272382i
\(137\) 1297.20 1545.94i 0.808955 0.964075i −0.190891 0.981611i \(-0.561138\pi\)
0.999846 + 0.0175358i \(0.00558210\pi\)
\(138\) −622.018 737.486i −0.383693 0.454920i
\(139\) −515.248 + 90.8522i −0.314409 + 0.0554387i −0.328626 0.944460i \(-0.606585\pi\)
0.0142172 + 0.999899i \(0.495474\pi\)
\(140\) −669.353 2278.91i −0.404076 1.37573i
\(141\) −1230.28 65.3136i −0.734809 0.0390099i
\(142\) 1230.95 1644.50i 0.727457 0.971853i
\(143\) 230.251 398.807i 0.134648 0.233216i
\(144\) 495.375 + 1655.47i 0.286675 + 0.958028i
\(145\) −1419.01 2457.80i −0.812707 1.40765i
\(146\) 1737.16 + 207.630i 0.984716 + 0.117696i
\(147\) 148.064 639.357i 0.0830758 0.358730i
\(148\) 2844.69 + 689.864i 1.57995 + 0.383152i
\(149\) 1913.73 + 2280.69i 1.05221 + 1.25397i 0.966232 + 0.257672i \(0.0829554\pi\)
0.0859730 + 0.996297i \(0.472600\pi\)
\(150\) 909.752 + 158.036i 0.495206 + 0.0860239i
\(151\) 794.052 + 2181.64i 0.427940 + 1.17576i 0.947060 + 0.321055i \(0.104038\pi\)
−0.519120 + 0.854701i \(0.673740\pi\)
\(152\) 839.971 + 1017.06i 0.448228 + 0.542728i
\(153\) 2237.34 2154.72i 1.18221 1.13855i
\(154\) 768.316 + 1174.82i 0.402030 + 0.614736i
\(155\) −410.715 + 2329.28i −0.212835 + 1.20705i
\(156\) 834.166 48.5287i 0.428120 0.0249064i
\(157\) −1335.19 485.968i −0.678723 0.247035i −0.0204239 0.999791i \(-0.506502\pi\)
−0.658299 + 0.752756i \(0.728724\pi\)
\(158\) −143.171 43.2691i −0.0720893 0.0217867i
\(159\) 546.136 66.6808i 0.272399 0.0332587i
\(160\) 255.919 + 2467.64i 0.126451 + 1.21928i
\(161\) 1422.08i 0.696123i
\(162\) −1603.06 1296.81i −0.777460 0.628932i
\(163\) 2858.77i 1.37372i −0.726790 0.686860i \(-0.758989\pi\)
0.726790 0.686860i \(-0.241011\pi\)
\(164\) 2909.31 + 184.650i 1.38524 + 0.0879190i
\(165\) −1619.45 + 197.727i −0.764083 + 0.0932912i
\(166\) −142.208 + 470.546i −0.0664908 + 0.220009i
\(167\) 3039.27 + 1106.20i 1.40830 + 0.512579i 0.930630 0.365962i \(-0.119260\pi\)
0.477668 + 0.878540i \(0.341482\pi\)
\(168\) −1015.09 + 2336.07i −0.466165 + 1.07281i
\(169\) −311.343 + 1765.72i −0.141713 + 0.803694i
\(170\) 3732.27 2440.86i 1.68383 1.10121i
\(171\) −1512.42 435.901i −0.676359 0.194937i
\(172\) 3038.06 + 1329.29i 1.34680 + 0.589288i
\(173\) −904.067 2483.90i −0.397312 1.09161i −0.963588 0.267390i \(-0.913839\pi\)
0.566277 0.824215i \(-0.308383\pi\)
\(174\) −520.883 + 2998.52i −0.226943 + 1.30642i
\(175\) 874.873 + 1042.63i 0.377910 + 0.450375i
\(176\) −566.690 1352.28i −0.242704 0.579157i
\(177\) 671.041 2897.62i 0.284963 1.23050i
\(178\) −110.023 + 920.522i −0.0463291 + 0.387618i
\(179\) −248.377 430.202i −0.103713 0.179636i 0.809499 0.587122i \(-0.199739\pi\)
−0.913212 + 0.407486i \(0.866406\pi\)
\(180\) −1914.31 2258.03i −0.792691 0.935020i
\(181\) 1264.71 2190.54i 0.519366 0.899569i −0.480381 0.877060i \(-0.659501\pi\)
0.999747 0.0225083i \(-0.00716523\pi\)
\(182\) 986.012 + 738.056i 0.401583 + 0.300595i
\(183\) −515.196 27.3510i −0.208111 0.0110483i
\(184\) −269.346 + 1460.74i −0.107916 + 0.585258i
\(185\) −4938.39 + 870.771i −1.96258 + 0.346056i
\(186\) 1938.85 1635.29i 0.764320 0.644651i
\(187\) −1694.15 + 2019.01i −0.662505 + 0.789543i
\(188\) 1124.76 + 1527.35i 0.436337 + 0.592517i
\(189\) −573.846 2984.62i −0.220853 1.14867i
\(190\) −2016.74 1019.43i −0.770051 0.389247i
\(191\) −170.947 143.442i −0.0647607 0.0543407i 0.609833 0.792530i \(-0.291237\pi\)
−0.674593 + 0.738189i \(0.735681\pi\)
\(192\) 1485.14 2207.32i 0.558233 0.829684i
\(193\) 799.010 + 4531.41i 0.298000 + 1.69004i 0.654753 + 0.755843i \(0.272772\pi\)
−0.356754 + 0.934199i \(0.616116\pi\)
\(194\) −1711.59 1823.66i −0.633426 0.674903i
\(195\) −1275.87 + 648.999i −0.468549 + 0.238337i
\(196\) −905.279 + 448.762i −0.329912 + 0.163543i
\(197\) 1511.34 + 872.571i 0.546591 + 0.315574i 0.747746 0.663985i \(-0.231136\pi\)
−0.201155 + 0.979559i \(0.564470\pi\)
\(198\) 1469.06 + 950.147i 0.527282 + 0.341030i
\(199\) 2065.87 1192.73i 0.735908 0.424877i −0.0846716 0.996409i \(-0.526984\pi\)
0.820580 + 0.571532i \(0.193651\pi\)
\(200\) −701.180 1236.68i −0.247905 0.437233i
\(201\) −3143.38 + 3366.28i −1.10307 + 1.18129i
\(202\) −765.897 3269.48i −0.266774 1.13881i
\(203\) −3436.49 + 2883.56i −1.18815 + 0.996976i
\(204\) −4749.94 555.511i −1.63021 0.190655i
\(205\) −4692.88 + 1708.07i −1.59885 + 0.581935i
\(206\) −2136.64 + 118.866i −0.722655 + 0.0402028i
\(207\) −718.703 1620.15i −0.241320 0.544001i
\(208\) −873.029 944.874i −0.291027 0.314977i
\(209\) 1315.24 + 231.912i 0.435297 + 0.0767546i
\(210\) −11.0659 4363.46i −0.00363629 1.43384i
\(211\) −195.886 + 538.192i −0.0639116 + 0.175596i −0.967538 0.252726i \(-0.918673\pi\)
0.903626 + 0.428322i \(0.140895\pi\)
\(212\) −613.106 584.498i −0.198624 0.189356i
\(213\) 3015.39 2269.05i 0.970005 0.729920i
\(214\) 188.370 + 439.834i 0.0601714 + 0.140498i
\(215\) −5680.98 −1.80204
\(216\) 24.1520 + 3174.45i 0.00760804 + 0.999971i
\(217\) 3738.66 1.16957
\(218\) 111.777 + 260.994i 0.0347270 + 0.0810860i
\(219\) 2957.73 + 1257.85i 0.912625 + 0.388117i
\(220\) 1818.03 + 1733.20i 0.557144 + 0.531147i
\(221\) −790.920 + 2173.04i −0.240738 + 0.661422i
\(222\) 4663.86 + 2676.93i 1.40999 + 0.809297i
\(223\) −2346.94 413.829i −0.704766 0.124269i −0.190232 0.981739i \(-0.560924\pi\)
−0.514534 + 0.857470i \(0.672035\pi\)
\(224\) 3771.06 1075.71i 1.12484 0.320865i
\(225\) 1523.66 + 745.701i 0.451455 + 0.220948i
\(226\) 1389.01 77.2734i 0.408830 0.0227440i
\(227\) −1677.14 + 610.430i −0.490379 + 0.178483i −0.575362 0.817899i \(-0.695139\pi\)
0.0849830 + 0.996382i \(0.472916\pi\)
\(228\) 959.672 + 2225.18i 0.278754 + 0.646342i
\(229\) 3321.07 2786.70i 0.958350 0.804151i −0.0223338 0.999751i \(-0.507110\pi\)
0.980684 + 0.195599i \(0.0626652\pi\)
\(230\) −580.385 2477.56i −0.166389 0.710284i
\(231\) 752.307 + 2466.67i 0.214278 + 0.702577i
\(232\) 4076.07 2311.07i 1.15348 0.654006i
\(233\) −5431.02 + 3135.60i −1.52703 + 0.881631i −0.527544 + 0.849527i \(0.676887\pi\)
−0.999485 + 0.0321031i \(0.989780\pi\)
\(234\) 1496.35 + 342.533i 0.418031 + 0.0956927i
\(235\) −2814.12 1624.73i −0.781162 0.451004i
\(236\) −4102.81 + 2033.83i −1.13165 + 0.560979i
\(237\) −230.342 149.808i −0.0631320 0.0410594i
\(238\) −4824.06 5139.94i −1.31385 1.39989i
\(239\) −163.778 928.833i −0.0443261 0.251386i 0.954591 0.297921i \(-0.0962932\pi\)
−0.998917 + 0.0465351i \(0.985182\pi\)
\(240\) −815.084 + 4484.18i −0.219223 + 1.20605i
\(241\) −815.626 684.392i −0.218005 0.182928i 0.527245 0.849713i \(-0.323225\pi\)
−0.745249 + 0.666786i \(0.767670\pi\)
\(242\) 2034.93 + 1028.62i 0.540539 + 0.273233i
\(243\) −2162.16 3110.30i −0.570793 0.821094i
\(244\) 471.007 + 639.597i 0.123579 + 0.167812i
\(245\) 1112.64 1325.99i 0.290137 0.345772i
\(246\) 5037.15 + 1818.92i 1.30552 + 0.471423i
\(247\) 1153.99 203.479i 0.297273 0.0524173i
\(248\) −3840.30 708.112i −0.983304 0.181311i
\(249\) −492.358 + 757.039i −0.125309 + 0.192672i
\(250\) −1929.38 1444.19i −0.488099 0.365355i
\(251\) 124.221 215.157i 0.0312381 0.0541059i −0.849984 0.526809i \(-0.823388\pi\)
0.881222 + 0.472703i \(0.156722\pi\)
\(252\) −2989.57 + 3599.75i −0.747321 + 0.899853i
\(253\) 751.947 + 1302.41i 0.186856 + 0.323644i
\(254\) −139.695 + 1168.78i −0.0345089 + 0.288723i
\(255\) 7836.36 2390.00i 1.92444 0.586932i
\(256\) −4077.32 + 390.704i −0.995440 + 0.0953868i
\(257\) −508.272 605.735i −0.123366 0.147022i 0.700826 0.713332i \(-0.252815\pi\)
−0.824192 + 0.566310i \(0.808370\pi\)
\(258\) 4676.77 + 3904.11i 1.12854 + 0.942089i
\(259\) 2711.01 + 7448.44i 0.650401 + 1.78696i
\(260\) 2019.05 + 883.428i 0.481601 + 0.210723i
\(261\) −2457.81 + 5021.94i −0.582891 + 1.19100i
\(262\) −6456.15 + 4222.24i −1.52237 + 0.995614i
\(263\) 1296.46 7352.56i 0.303965 1.72387i −0.324371 0.945930i \(-0.605153\pi\)
0.628336 0.777942i \(-0.283736\pi\)
\(264\) −305.565 2676.22i −0.0712358 0.623902i
\(265\) 1363.63 + 496.323i 0.316104 + 0.115052i
\(266\) −1033.35 + 3419.22i −0.238191 + 0.788142i
\(267\) −666.535 + 1567.30i −0.152776 + 0.359240i
\(268\) 7076.73 + 449.149i 1.61299 + 0.102374i
\(269\) 5839.53i 1.32358i −0.749690 0.661789i \(-0.769797\pi\)
0.749690 0.661789i \(-0.230203\pi\)
\(270\) −2217.85 4965.61i −0.499903 1.11925i
\(271\) 1628.24i 0.364977i 0.983208 + 0.182488i \(0.0584152\pi\)
−0.983208 + 0.182488i \(0.941585\pi\)
\(272\) 3981.69 + 6193.37i 0.887593 + 1.38062i
\(273\) 1360.48 + 1807.98i 0.301613 + 0.400819i
\(274\) −5463.91 1651.30i −1.20470 0.364082i
\(275\) −1352.56 492.291i −0.296590 0.107950i
\(276\) −1224.84 + 2438.46i −0.267127 + 0.531805i
\(277\) 990.141 5615.37i 0.214772 1.21803i −0.666530 0.745478i \(-0.732221\pi\)
0.881302 0.472554i \(-0.156668\pi\)
\(278\) 809.956 + 1238.49i 0.174741 + 0.267193i
\(279\) 4259.38 1889.47i 0.913987 0.405447i
\(280\) −5179.86 + 4277.93i −1.10556 + 0.913055i
\(281\) 2106.09 + 5786.42i 0.447112 + 1.22843i 0.934725 + 0.355371i \(0.115646\pi\)
−0.487613 + 0.873060i \(0.662132\pi\)
\(282\) 1200.12 + 3271.47i 0.253426 + 0.690826i
\(283\) 3439.96 + 4099.58i 0.722559 + 0.861113i 0.994877 0.101095i \(-0.0322345\pi\)
−0.272317 + 0.962207i \(0.587790\pi\)
\(284\) −5646.40 1369.31i −1.17976 0.286103i
\(285\) −3034.24 2833.33i −0.630641 0.588883i
\(286\) −1293.29 154.578i −0.267392 0.0319593i
\(287\) 3947.02 + 6836.43i 0.811794 + 1.40607i
\(288\) 3752.64 3131.38i 0.767801 0.640689i
\(289\) 4161.14 7207.30i 0.846964 1.46699i
\(290\) −4810.22 + 6426.26i −0.974020 + 1.30125i
\(291\) −2083.18 4095.35i −0.419651 0.824995i
\(292\) −1394.52 4747.85i −0.279480 0.951530i
\(293\) 2311.13 407.515i 0.460811 0.0812535i 0.0615769 0.998102i \(-0.480387\pi\)
0.399234 + 0.916849i \(0.369276\pi\)
\(294\) −1827.21 + 326.966i −0.362466 + 0.0648608i
\(295\) 5042.56 6009.49i 0.995218 1.18606i
\(296\) −1373.96 8164.41i −0.269796 1.60320i
\(297\) 2103.72 + 2430.02i 0.411010 + 0.474762i
\(298\) 3798.86 7515.31i 0.738463 1.46091i
\(299\) 1010.81 + 848.167i 0.195506 + 0.164049i
\(300\) −602.130 2541.34i −0.115880 0.489082i
\(301\) 1559.33 + 8843.42i 0.298600 + 1.69344i
\(302\) 4788.10 4493.84i 0.912332 0.856263i
\(303\) 327.043 6160.34i 0.0620070 1.16799i
\(304\) 1709.05 3316.45i 0.322437 0.625696i
\(305\) −1178.45 680.380i −0.221239 0.127733i
\(306\) −8093.62 3417.81i −1.51203 0.638507i
\(307\) −4521.87 + 2610.70i −0.840641 + 0.485345i −0.857482 0.514514i \(-0.827972\pi\)
0.0168408 + 0.999858i \(0.494639\pi\)
\(308\) 2199.01 3305.81i 0.406818 0.611578i
\(309\) −3829.97 886.957i −0.705112 0.163292i
\(310\) 6513.50 1525.83i 1.19336 0.279553i
\(311\) 1396.33 1171.66i 0.254593 0.213629i −0.506554 0.862208i \(-0.669081\pi\)
0.761147 + 0.648579i \(0.224636\pi\)
\(312\) −1055.04 2114.81i −0.191441 0.383742i
\(313\) 4652.26 1693.29i 0.840132 0.305783i 0.114122 0.993467i \(-0.463595\pi\)
0.726011 + 0.687684i \(0.241372\pi\)
\(314\) 223.231 + 4012.64i 0.0401200 + 0.721167i
\(315\) 2220.03 7702.67i 0.397093 1.37777i
\(316\) 46.9238 + 420.429i 0.00835339 + 0.0748448i
\(317\) 3029.86 + 534.247i 0.536827 + 0.0946571i 0.435487 0.900195i \(-0.356576\pi\)
0.101340 + 0.994852i \(0.467687\pi\)
\(318\) −781.504 1345.71i −0.137813 0.237307i
\(319\) 1622.58 4457.99i 0.284787 0.782444i
\(320\) 6130.93 3413.16i 1.07103 0.596254i
\(321\) 106.532 + 872.534i 0.0185236 + 0.151714i
\(322\) −3697.44 + 1583.52i −0.639907 + 0.274056i
\(323\) −6706.59 −1.15531
\(324\) −1586.68 + 5612.01i −0.272065 + 0.962279i
\(325\) −1262.89 −0.215547
\(326\) −7432.85 + 3183.30i −1.26278 + 0.540817i
\(327\) 63.2155 + 517.754i 0.0106906 + 0.0875592i
\(328\) −2759.48 7769.86i −0.464533 1.30798i
\(329\) −1756.75 + 4826.63i −0.294385 + 0.808816i
\(330\) 2317.38 + 3990.41i 0.386568 + 0.665651i
\(331\) −9453.14 1666.84i −1.56976 0.276792i −0.679999 0.733213i \(-0.738020\pi\)
−0.889764 + 0.456421i \(0.849131\pi\)
\(332\) 1381.78 154.220i 0.228419 0.0254937i
\(333\) 6852.95 + 7115.75i 1.12775 + 1.17099i
\(334\) −508.139 9133.93i −0.0832459 1.49637i
\(335\) −11415.1 + 4154.77i −1.86172 + 0.677610i
\(336\) 7204.13 + 37.9855i 1.16969 + 0.00616749i
\(337\) 956.024 802.199i 0.154534 0.129669i −0.562243 0.826972i \(-0.690061\pi\)
0.716776 + 0.697303i \(0.245617\pi\)
\(338\) 4937.58 1156.66i 0.794582 0.186136i
\(339\) 2489.83 + 576.602i 0.398905 + 0.0923797i
\(340\) −10502.2 6986.01i −1.67518 1.11432i
\(341\) −3424.04 + 1976.87i −0.543760 + 0.313940i
\(342\) 550.754 + 4417.69i 0.0870801 + 0.698483i
\(343\) 4065.50 + 2347.22i 0.639989 + 0.369498i
\(344\) 73.2410 9379.18i 0.0114793 1.47003i
\(345\) 247.828 4668.21i 0.0386742 0.728486i
\(346\) −5451.49 + 5116.46i −0.847034 + 0.794979i
\(347\) 1229.56 + 6973.21i 0.190220 + 1.07879i 0.919062 + 0.394112i \(0.128948\pi\)
−0.728842 + 0.684682i \(0.759941\pi\)
\(348\) 8376.21 1984.61i 1.29026 0.305707i
\(349\) −3786.21 3177.00i −0.580719 0.487281i 0.304464 0.952524i \(-0.401523\pi\)
−0.885183 + 0.465243i \(0.845967\pi\)
\(350\) 1736.67 3435.67i 0.265226 0.524699i
\(351\) 2463.70 + 1372.22i 0.374651 + 0.208671i
\(352\) −2884.92 + 2979.19i −0.436837 + 0.451111i
\(353\) 2754.26 3282.39i 0.415281 0.494913i −0.517335 0.855783i \(-0.673076\pi\)
0.932616 + 0.360870i \(0.117520\pi\)
\(354\) −8281.07 + 1481.84i −1.24332 + 0.222483i
\(355\) 9802.18 1728.39i 1.46548 0.258404i
\(356\) 2515.88 738.957i 0.374555 0.110013i
\(357\) −5871.40 11542.6i −0.870441 1.71121i
\(358\) −841.959 + 1124.82i −0.124299 + 0.166058i
\(359\) 580.163 1004.87i 0.0852920 0.147730i −0.820224 0.572043i \(-0.806151\pi\)
0.905516 + 0.424313i \(0.139484\pi\)
\(360\) −3739.29 + 7491.60i −0.547438 + 1.09678i
\(361\) −1730.31 2996.99i −0.252269 0.436943i
\(362\) −7103.73 849.055i −1.03139 0.123274i
\(363\) 3061.61 + 2858.88i 0.442680 + 0.413368i
\(364\) 821.012 3385.48i 0.118222 0.487493i
\(365\) 5449.08 + 6493.96i 0.781419 + 0.931258i
\(366\) 502.567 + 1369.97i 0.0717749 + 0.195655i
\(367\) 870.773 + 2392.43i 0.123853 + 0.340283i 0.986088 0.166226i \(-0.0531580\pi\)
−0.862235 + 0.506509i \(0.830936\pi\)
\(368\) 4097.88 926.262i 0.580480 0.131209i
\(369\) 7951.80 + 5793.83i 1.12183 + 0.817385i
\(370\) 7763.01 + 11870.3i 1.09076 + 1.66785i
\(371\) 398.316 2258.96i 0.0557400 0.316117i
\(372\) −6410.72 3220.12i −0.893495 0.448805i
\(373\) 8106.29 + 2950.45i 1.12527 + 0.409567i 0.836575 0.547853i \(-0.184555\pi\)
0.288700 + 0.957420i \(0.406777\pi\)
\(374\) 7135.92 + 2156.61i 0.986603 + 0.298170i
\(375\) −2662.13 3537.76i −0.366592 0.487171i
\(376\) 2718.68 4625.11i 0.372887 0.634367i
\(377\) 4162.46i 0.568641i
\(378\) −7121.06 + 4815.44i −0.968963 + 0.655236i
\(379\) 3542.69i 0.480147i 0.970755 + 0.240074i \(0.0771716\pi\)
−0.970755 + 0.240074i \(0.922828\pi\)
\(380\) −404.847 + 6378.70i −0.0546531 + 0.861107i
\(381\) −846.292 + 1989.98i −0.113798 + 0.267585i
\(382\) −182.597 + 604.190i −0.0244568 + 0.0809242i
\(383\) −1097.69 399.525i −0.146447 0.0533023i 0.267757 0.963487i \(-0.413718\pi\)
−0.414204 + 0.910184i \(0.635940\pi\)
\(384\) −7392.79 1403.50i −0.982452 0.186516i
\(385\) −1181.12 + 6698.46i −0.156352 + 0.886714i
\(386\) 10892.0 7123.25i 1.43624 0.939284i
\(387\) 6245.87 + 9287.06i 0.820402 + 1.21987i
\(388\) −2835.66 + 6480.83i −0.371028 + 0.847975i
\(389\) 2279.18 + 6261.99i 0.297066 + 0.816183i 0.994987 + 0.100008i \(0.0318868\pi\)
−0.697920 + 0.716175i \(0.745891\pi\)
\(390\) 3108.12 + 2594.61i 0.403553 + 0.336881i
\(391\) −4854.37 5785.22i −0.627868 0.748264i
\(392\) 2174.83 + 1854.03i 0.280219 + 0.238885i
\(393\) −13555.5 + 4134.27i −1.73991 + 0.530652i
\(394\) 585.795 4901.12i 0.0749033 0.626688i
\(395\) −362.360 627.626i −0.0461578 0.0799476i
\(396\) 834.565 4877.60i 0.105905 0.618961i
\(397\) −1377.85 + 2386.51i −0.174188 + 0.301702i −0.939880 0.341505i \(-0.889063\pi\)
0.765692 + 0.643207i \(0.222397\pi\)
\(398\) −5401.50 4043.17i −0.680284 0.509210i
\(399\) −3577.71 + 5501.01i −0.448896 + 0.690213i
\(400\) −2434.61 + 3200.15i −0.304327 + 0.400018i
\(401\) 3610.49 636.627i 0.449625 0.0792809i 0.0557492 0.998445i \(-0.482245\pi\)
0.393875 + 0.919164i \(0.371134\pi\)
\(402\) 12252.6 + 4424.42i 1.52016 + 0.548930i
\(403\) −2229.83 + 2657.41i −0.275623 + 0.328474i
\(404\) −7647.84 + 5631.97i −0.941818 + 0.693566i
\(405\) −1363.60 9897.47i −0.167304 1.21434i
\(406\) 11323.9 + 5724.03i 1.38423 + 0.699702i
\(407\) −6421.34 5388.15i −0.782049 0.656217i
\(408\) 3844.82 + 12968.5i 0.466536 + 1.57362i
\(409\) −1674.68 9497.61i −0.202464 1.14823i −0.901381 0.433028i \(-0.857445\pi\)
0.698917 0.715203i \(-0.253666\pi\)
\(410\) 9666.60 + 10299.6i 1.16439 + 1.24063i
\(411\) −8790.62 5717.18i −1.05501 0.686151i
\(412\) 2688.24 + 5422.94i 0.321457 + 0.648469i
\(413\) −10738.9 6200.11i −1.27948 0.738711i
\(414\) −3412.12 + 3672.71i −0.405065 + 0.435999i
\(415\) −2062.75 + 1190.93i −0.243992 + 0.140869i
\(416\) −1484.55 + 3322.02i −0.174967 + 0.391528i
\(417\) 793.080 + 2600.36i 0.0931350 + 0.305372i
\(418\) −861.569 3677.88i −0.100815 0.430361i
\(419\) 3701.21 3105.68i 0.431541 0.362106i −0.400992 0.916082i \(-0.631334\pi\)
0.832533 + 0.553976i \(0.186890\pi\)
\(420\) −11332.7 + 4887.57i −1.31662 + 0.567831i
\(421\) −11617.3 + 4228.36i −1.34488 + 0.489495i −0.911345 0.411643i \(-0.864955\pi\)
−0.433532 + 0.901138i \(0.642733\pi\)
\(422\) 1617.43 89.9809i 0.186576 0.0103796i
\(423\) 437.890 + 6386.72i 0.0503332 + 0.734120i
\(424\) −836.999 + 2244.94i −0.0958685 + 0.257131i
\(425\) 7118.19 + 1255.13i 0.812431 + 0.143253i
\(426\) −9257.26 5313.43i −1.05285 0.604311i
\(427\) −735.663 + 2021.22i −0.0833752 + 0.229071i
\(428\) 933.823 979.528i 0.105463 0.110624i
\(429\) −2201.99 936.453i −0.247816 0.105390i
\(430\) 6325.88 + 14770.6i 0.709444 + 1.65652i
\(431\) 603.493 0.0674460 0.0337230 0.999431i \(-0.489264\pi\)
0.0337230 + 0.999431i \(0.489264\pi\)
\(432\) 8226.71 3597.60i 0.916222 0.400671i
\(433\) −484.708 −0.0537958 −0.0268979 0.999638i \(-0.508563\pi\)
−0.0268979 + 0.999638i \(0.508563\pi\)
\(434\) −4163.07 9720.57i −0.460446 1.07512i
\(435\) −11783.3 + 8866.85i −1.29878 + 0.977317i
\(436\) 554.122 581.243i 0.0608662 0.0638452i
\(437\) −1308.84 + 3596.01i −0.143273 + 0.393639i
\(438\) −23.0546 9090.78i −0.00251505 0.991722i
\(439\) 11662.8 + 2056.47i 1.26797 + 0.223577i 0.766863 0.641811i \(-0.221817\pi\)
0.501103 + 0.865387i \(0.332928\pi\)
\(440\) 2481.93 6656.86i 0.268913 0.721257i
\(441\) −3390.95 361.058i −0.366154 0.0389870i
\(442\) 6530.63 363.312i 0.702783 0.0390973i
\(443\) 8696.31 3165.20i 0.932673 0.339465i 0.169405 0.985547i \(-0.445816\pi\)
0.763269 + 0.646081i \(0.223593\pi\)
\(444\) 1766.77 15106.9i 0.188845 1.61474i
\(445\) −3441.15 + 2887.47i −0.366575 + 0.307593i
\(446\) 1537.40 + 6562.89i 0.163225 + 0.696776i
\(447\) 10558.3 11307.0i 1.11720 1.19642i
\(448\) −6996.00 8606.99i −0.737790 0.907683i
\(449\) −5037.21 + 2908.24i −0.529445 + 0.305675i −0.740790 0.671736i \(-0.765549\pi\)
0.211346 + 0.977411i \(0.432215\pi\)
\(450\) 242.209 4791.89i 0.0253730 0.501982i
\(451\) −7229.72 4174.08i −0.754844 0.435809i
\(452\) −1747.60 3525.40i −0.181859 0.366860i
\(453\) 10752.5 5469.49i 1.11523 0.567282i
\(454\) 3454.66 + 3680.87i 0.357126 + 0.380511i
\(455\) 1036.31 + 5877.21i 0.106776 + 0.605556i
\(456\) 4716.88 4972.94i 0.484404 0.510700i
\(457\) −14214.2 11927.1i −1.45495 1.22085i −0.928865 0.370419i \(-0.879214\pi\)
−0.526087 0.850431i \(-0.676341\pi\)
\(458\) −10943.5 5531.77i −1.11650 0.564373i
\(459\) −12522.7 10183.0i −1.27344 1.03551i
\(460\) −5795.41 + 4267.81i −0.587419 + 0.432582i
\(461\) −1467.23 + 1748.58i −0.148234 + 0.176659i −0.835052 0.550171i \(-0.814563\pi\)
0.686818 + 0.726830i \(0.259007\pi\)
\(462\) 5575.68 4702.70i 0.561481 0.473570i
\(463\) −7072.21 + 1247.02i −0.709878 + 0.125171i −0.516917 0.856036i \(-0.672920\pi\)
−0.192961 + 0.981206i \(0.561809\pi\)
\(464\) −10547.6 8024.42i −1.05530 0.802855i
\(465\) 12272.7 + 651.540i 1.22394 + 0.0649773i
\(466\) 14200.1 + 10629.2i 1.41161 + 1.05662i
\(467\) 6520.06 11293.1i 0.646065 1.11902i −0.337990 0.941150i \(-0.609747\pi\)
0.984054 0.177867i \(-0.0569198\pi\)
\(468\) −775.620 4271.94i −0.0766091 0.421946i
\(469\) 9600.88 + 16629.2i 0.945261 + 1.63724i
\(470\) −1090.75 + 9125.93i −0.107048 + 0.895634i
\(471\) −1665.72 + 7192.73i −0.162956 + 0.703660i
\(472\) 9856.54 + 8402.65i 0.961195 + 0.819414i
\(473\) −6104.20 7274.70i −0.593385 0.707169i
\(474\) −133.013 + 765.705i −0.0128892 + 0.0741983i
\(475\) −1252.68 3441.70i −0.121004 0.332455i
\(476\) −7992.24 + 18266.1i −0.769588 + 1.75887i
\(477\) −687.859 2774.90i −0.0660271 0.266360i
\(478\) −2232.61 + 1460.10i −0.213634 + 0.139714i
\(479\) 742.630 4211.66i 0.0708385 0.401745i −0.928685 0.370870i \(-0.879060\pi\)
0.999523 0.0308749i \(-0.00982934\pi\)
\(480\) 12566.6 2873.99i 1.19496 0.273290i
\(481\) −6911.21 2515.48i −0.655144 0.238453i
\(482\) −871.213 + 2882.72i −0.0823292 + 0.272416i
\(483\) −7334.89 + 895.558i −0.690992 + 0.0843670i
\(484\) 408.499 6436.24i 0.0383639 0.604456i
\(485\) 12118.7i 1.13461i
\(486\) −5679.22 + 9085.03i −0.530071 + 0.847953i
\(487\) 18697.4i 1.73975i 0.493271 + 0.869876i \(0.335801\pi\)
−0.493271 + 0.869876i \(0.664199\pi\)
\(488\) 1138.49 1936.83i 0.105608 0.179664i
\(489\) −14745.1 + 1800.31i −1.36359 + 0.166489i
\(490\) −4686.53 1416.36i −0.432073 0.130581i
\(491\) 1904.26 + 693.093i 0.175026 + 0.0637044i 0.428047 0.903757i \(-0.359202\pi\)
−0.253020 + 0.967461i \(0.581424\pi\)
\(492\) −879.746 15122.1i −0.0806138 1.38568i
\(493\) −4136.88 + 23461.4i −0.377922 + 2.14330i
\(494\) −1814.04 2773.81i −0.165217 0.252631i
\(495\) 2039.69 + 8228.34i 0.185207 + 0.747144i
\(496\) 2435.15 + 10773.3i 0.220446 + 0.975276i
\(497\) −5381.07 14784.4i −0.485662 1.33434i
\(498\) 2516.56 + 437.160i 0.226446 + 0.0393366i
\(499\) 5426.47 + 6467.01i 0.486818 + 0.580167i 0.952405 0.304835i \(-0.0986014\pi\)
−0.465588 + 0.885002i \(0.654157\pi\)
\(500\) −1606.52 + 6624.56i −0.143691 + 0.592518i
\(501\) 3791.65 16372.7i 0.338121 1.46004i
\(502\) −697.734 83.3949i −0.0620346 0.00741453i
\(503\) 8061.84 + 13963.5i 0.714631 + 1.23778i 0.963102 + 0.269138i \(0.0867389\pi\)
−0.248470 + 0.968640i \(0.579928\pi\)
\(504\) 12688.3 + 3764.53i 1.12140 + 0.332709i
\(505\) 8135.49 14091.1i 0.716881 1.24167i
\(506\) 2548.98 3405.33i 0.223945 0.299181i
\(507\) 9303.37 + 493.902i 0.814945 + 0.0432642i
\(508\) 3194.39 938.246i 0.278992 0.0819447i
\(509\) 8908.87 1570.87i 0.775793 0.136793i 0.228286 0.973594i \(-0.426688\pi\)
0.547507 + 0.836801i \(0.315577\pi\)
\(510\) −14940.0 17713.3i −1.29716 1.53796i
\(511\) 8613.28 10264.9i 0.745654 0.888636i
\(512\) 5556.01 + 10166.0i 0.479577 + 0.877500i
\(513\) −1295.87 + 8075.33i −0.111528 + 0.694999i
\(514\) −1008.95 + 1996.01i −0.0865814 + 0.171285i
\(515\) −7943.13 6665.08i −0.679643 0.570288i
\(516\) 4943.06 16507.0i 0.421717 1.40829i
\(517\) −943.236 5349.36i −0.0802388 0.455057i
\(518\) 16347.3 15342.6i 1.38660 1.30138i
\(519\) −12242.3 + 6227.28i −1.03541 + 0.526681i
\(520\) 48.6749 6233.27i 0.00410488 0.525668i
\(521\) 1870.24 + 1079.79i 0.157268 + 0.0907990i 0.576569 0.817049i \(-0.304391\pi\)
−0.419300 + 0.907848i \(0.637725\pi\)
\(522\) 15793.9 + 798.315i 1.32430 + 0.0669373i
\(523\) 4584.13 2646.65i 0.383269 0.221281i −0.295970 0.955197i \(-0.595643\pi\)
0.679240 + 0.733916i \(0.262310\pi\)
\(524\) 18166.9 + 12084.5i 1.51455 + 1.00747i
\(525\) 4826.79 5169.06i 0.401254 0.429707i
\(526\) −20560.4 + 4816.42i −1.70433 + 0.399250i
\(527\) 15209.4 12762.2i 1.25717 1.05489i
\(528\) −6617.96 + 3774.50i −0.545473 + 0.311106i
\(529\) 7383.90 2687.52i 0.606879 0.220886i
\(530\) −227.988 4098.14i −0.0186852 0.335871i
\(531\) −15368.1 1636.35i −1.25597 0.133732i
\(532\) 10040.7 1120.63i 0.818268 0.0913264i
\(533\) −7213.39 1271.91i −0.586204 0.103363i
\(534\) 4817.20 12.2166i 0.390376 0.000990010i
\(535\) −792.949 + 2178.61i −0.0640788 + 0.176055i
\(536\) −6712.28 18899.7i −0.540907 1.52303i
\(537\) −2062.50 + 1552.01i −0.165742 + 0.124719i
\(538\) −15182.9 + 6502.43i −1.21669 + 0.521078i
\(539\) 2893.50 0.231228
\(540\) −10441.0 + 11295.7i −0.832057 + 0.900168i
\(541\) 2731.19 0.217048 0.108524 0.994094i \(-0.465388\pi\)
0.108524 + 0.994094i \(0.465388\pi\)
\(542\) 4233.46 1813.08i 0.335503 0.143687i
\(543\) −12095.0 5143.70i −0.955882 0.406514i
\(544\) 11669.2 17248.9i 0.919690 1.35945i
\(545\) −470.529 + 1292.77i −0.0369821 + 0.101607i
\(546\) 3185.84 5550.49i 0.249709 0.435053i
\(547\) −19396.4 3420.11i −1.51614 0.267337i −0.647226 0.762298i \(-0.724071\pi\)
−0.868915 + 0.494961i \(0.835182\pi\)
\(548\) 1790.77 + 16045.0i 0.139595 + 1.25075i
\(549\) 183.373 + 2674.53i 0.0142553 + 0.207916i
\(550\) 226.135 + 4064.84i 0.0175317 + 0.315137i
\(551\) 11343.8 4128.79i 0.877061 0.319224i
\(552\) 7703.92 + 469.343i 0.594023 + 0.0361894i
\(553\) −877.546 + 736.349i −0.0674811 + 0.0566234i
\(554\) −15702.6 + 3678.44i −1.20422 + 0.282097i
\(555\) 7601.26 + 24923.1i 0.581361 + 1.90617i
\(556\) 2318.19 3484.98i 0.176822 0.265820i
\(557\) 11933.8 6890.00i 0.907814 0.524127i 0.0280870 0.999605i \(-0.491058\pi\)
0.879727 + 0.475479i \(0.157725\pi\)
\(558\) −9655.56 8970.48i −0.732531 0.680557i
\(559\) −7215.86 4166.08i −0.545972 0.315217i
\(560\) 16890.6 + 8704.14i 1.27457 + 0.656816i
\(561\) 11480.6 + 7466.70i 0.864016 + 0.561933i
\(562\) 12699.6 11919.1i 0.953205 0.894624i
\(563\) 1840.74 + 10439.3i 0.137794 + 0.781466i 0.972874 + 0.231337i \(0.0743101\pi\)
−0.835080 + 0.550128i \(0.814579\pi\)
\(564\) 7169.50 6763.17i 0.535267 0.504931i
\(565\) 5163.75 + 4332.90i 0.384497 + 0.322631i
\(566\) 6828.52 13508.9i 0.507109 1.00322i
\(567\) −15032.8 + 4839.38i −1.11344 + 0.358439i
\(568\) 2727.16 + 16205.5i 0.201460 + 1.19712i
\(569\) −10853.0 + 12934.1i −0.799616 + 0.952946i −0.999640 0.0268456i \(-0.991454\pi\)
0.200023 + 0.979791i \(0.435898\pi\)
\(570\) −3988.01 + 11044.0i −0.293051 + 0.811550i
\(571\) 5032.43 887.353i 0.368828 0.0650343i 0.0138374 0.999904i \(-0.495595\pi\)
0.354990 + 0.934870i \(0.384484\pi\)
\(572\) 1038.20 + 3534.71i 0.0758906 + 0.258380i
\(573\) −632.196 + 972.052i −0.0460914 + 0.0708692i
\(574\) 13379.7 17874.8i 0.972926 1.29979i
\(575\) 2062.16 3571.76i 0.149561 0.259048i
\(576\) −12320.3 6270.07i −0.891224 0.453564i
\(577\) −905.287 1568.00i −0.0653164 0.113131i 0.831518 0.555498i \(-0.187472\pi\)
−0.896834 + 0.442367i \(0.854139\pi\)
\(578\) −23372.6 2793.55i −1.68196 0.201032i
\(579\) 22869.1 6974.83i 1.64147 0.500629i
\(580\) 22064.6 + 5350.88i 1.57963 + 0.383075i
\(581\) 2420.08 + 2884.14i 0.172809 + 0.205945i
\(582\) −8328.30 + 9976.55i −0.593160 + 0.710552i
\(583\) 829.663 + 2279.48i 0.0589385 + 0.161932i
\(584\) −10791.6 + 8912.60i −0.764660 + 0.631517i
\(585\) 4150.92 + 6172.05i 0.293367 + 0.436210i
\(586\) −3633.03 5555.20i −0.256108 0.391610i
\(587\) −2871.36 + 16284.3i −0.201897 + 1.14501i 0.700351 + 0.713798i \(0.253027\pi\)
−0.902248 + 0.431217i \(0.858084\pi\)
\(588\) 2884.75 + 4386.69i 0.202322 + 0.307660i
\(589\) −9453.91 3440.94i −0.661361 0.240716i
\(590\) −21239.8 6419.05i −1.48208 0.447912i
\(591\) 3548.83 8344.76i 0.247004 0.580808i
\(592\) −19697.7 + 12663.5i −1.36751 + 0.879169i
\(593\) 5497.76i 0.380718i −0.981715 0.190359i \(-0.939035\pi\)
0.981715 0.190359i \(-0.0609652\pi\)
\(594\) 3975.57 8175.57i 0.274612 0.564727i
\(595\) 34156.4i 2.35340i
\(596\) −23770.0 1508.65i −1.63365 0.103686i
\(597\) −7452.91 9904.33i −0.510934 0.678990i
\(598\) 1079.69 3572.56i 0.0738328 0.244302i
\(599\) 9664.02 + 3517.41i 0.659200 + 0.239929i 0.649891 0.760027i \(-0.274815\pi\)
0.00930927 + 0.999957i \(0.497037\pi\)
\(600\) −5937.05 + 4395.38i −0.403965 + 0.299068i
\(601\) −329.550 + 1868.97i −0.0223671 + 0.126850i −0.993947 0.109863i \(-0.964959\pi\)
0.971580 + 0.236713i \(0.0760700\pi\)
\(602\) 21256.7 13901.6i 1.43913 0.941175i
\(603\) 19342.3 + 14093.2i 1.30627 + 0.951771i
\(604\) −17015.7 7445.16i −1.14629 0.501555i
\(605\) 3778.74 + 10382.0i 0.253930 + 0.697667i
\(606\) −16381.1 + 6009.34i −1.09808 + 0.402826i
\(607\) −7802.74 9298.94i −0.521752 0.621800i 0.439242 0.898369i \(-0.355247\pi\)
−0.960994 + 0.276569i \(0.910803\pi\)
\(608\) −10525.9 750.630i −0.702107 0.0500692i
\(609\) 17037.1 + 15909.0i 1.13363 + 1.05856i
\(610\) −456.768 + 3821.61i −0.0303180 + 0.253660i
\(611\) −2382.96 4127.41i −0.157781 0.273285i
\(612\) 126.039 + 24849.3i 0.00832486 + 1.64130i
\(613\) −12716.0 + 22024.7i −0.837837 + 1.45118i 0.0538630 + 0.998548i \(0.482847\pi\)
−0.891700 + 0.452627i \(0.850487\pi\)
\(614\) 11823.1 + 8849.87i 0.777101 + 0.581680i
\(615\) 11765.3 + 23129.5i 0.771419 + 1.51654i
\(616\) −11043.8 2036.36i −0.722349 0.133194i
\(617\) 3356.95 591.921i 0.219037 0.0386221i −0.0630527 0.998010i \(-0.520084\pi\)
0.282089 + 0.959388i \(0.408973\pi\)
\(618\) 1958.64 + 10945.6i 0.127489 + 0.712456i
\(619\) 17106.6 20386.8i 1.11078 1.32377i 0.169734 0.985490i \(-0.445709\pi\)
0.941044 0.338284i \(-0.109847\pi\)
\(620\) −11220.1 15236.2i −0.726790 0.986933i
\(621\) −7903.89 + 4727.25i −0.510744 + 0.305472i
\(622\) −4601.16 2325.81i −0.296607 0.149930i
\(623\) 5439.37 + 4564.18i 0.349798 + 0.293515i
\(624\) −4323.73 + 5097.99i −0.277384 + 0.327056i
\(625\) −3391.55 19234.4i −0.217059 1.23100i
\(626\) −9582.95 10210.4i −0.611840 0.651903i
\(627\) 367.895 6929.85i 0.0234327 0.441390i
\(628\) 10184.4 5048.56i 0.647134 0.320795i
\(629\) 36454.5 + 21047.0i 2.31087 + 1.33418i
\(630\) −22499.1 + 2804.97i −1.42283 + 0.177385i
\(631\) 3466.41 2001.33i 0.218694 0.126263i −0.386652 0.922226i \(-0.626368\pi\)
0.605345 + 0.795963i \(0.293035\pi\)
\(632\) 1040.87 590.158i 0.0655120 0.0371443i
\(633\) 2899.27 + 671.423i 0.182047 + 0.0421590i
\(634\) −1984.76 8472.59i −0.124330 0.530740i
\(635\) −4369.19 + 3666.18i −0.273049 + 0.229115i
\(636\) −2628.65 + 3530.40i −0.163888 + 0.220109i
\(637\) 2385.65 868.304i 0.148387 0.0540086i
\(638\) −13397.6 + 745.337i −0.831375 + 0.0462510i
\(639\) −13602.4 14124.0i −0.842100 0.874392i
\(640\) −15701.2 12139.9i −0.969755 0.749799i
\(641\) −13516.0 2383.23i −0.832836 0.146851i −0.259058 0.965862i \(-0.583412\pi\)
−0.573779 + 0.819010i \(0.694523\pi\)
\(642\) 2149.97 1248.57i 0.132169 0.0767556i
\(643\) 3779.18 10383.2i 0.231783 0.636818i −0.768211 0.640196i \(-0.778853\pi\)
0.999994 + 0.00337787i \(0.00107521\pi\)
\(644\) 8234.33 + 7850.11i 0.503848 + 0.480338i
\(645\) 3577.60 + 29301.6i 0.218400 + 1.78876i
\(646\) 7467.92 + 17437.2i 0.454832 + 1.06201i
\(647\) −19620.4 −1.19221 −0.596104 0.802907i \(-0.703285\pi\)
−0.596104 + 0.802907i \(0.703285\pi\)
\(648\) 16358.1 2123.68i 0.991678 0.128744i
\(649\) 13113.6 0.793149
\(650\) 1406.26 + 3283.54i 0.0848582 + 0.198140i
\(651\) −2354.42 19283.4i −0.141747 1.16095i
\(652\) 16553.2 + 15780.9i 0.994286 + 0.947892i
\(653\) 6686.69 18371.5i 0.400720 1.10097i −0.561209 0.827674i \(-0.689664\pi\)
0.961930 0.273296i \(-0.0881140\pi\)
\(654\) 1275.78 740.890i 0.0762795 0.0442983i
\(655\) −36811.1 6490.78i −2.19592 0.387200i
\(656\) −17129.0 + 15826.6i −1.01948 + 0.941958i
\(657\) 4625.18 16047.7i 0.274650 0.952935i
\(658\) 14505.5 806.969i 0.859395 0.0478099i
\(659\) −4737.51 + 1724.31i −0.280041 + 0.101927i −0.478223 0.878239i \(-0.658719\pi\)
0.198181 + 0.980165i \(0.436497\pi\)
\(660\) 7794.68 10468.6i 0.459708 0.617409i
\(661\) −8429.13 + 7072.88i −0.495999 + 0.416192i −0.856170 0.516694i \(-0.827163\pi\)
0.360172 + 0.932886i \(0.382718\pi\)
\(662\) 6192.43 + 26434.4i 0.363559 + 1.55197i
\(663\) 11706.3 + 2710.98i 0.685722 + 0.158802i
\(664\) −1939.61 3420.92i −0.113361 0.199936i
\(665\) −14989.0 + 8653.88i −0.874056 + 0.504636i
\(666\) 10870.2 25741.3i 0.632447 1.49768i
\(667\) 11772.4 + 6796.81i 0.683403 + 0.394563i
\(668\) −23182.5 + 11492.0i −1.34275 + 0.665625i
\(669\) −656.481 + 12365.8i −0.0379387 + 0.714632i
\(670\) 23513.4 + 25053.1i 1.35583 + 1.44461i
\(671\) −394.993 2240.12i −0.0227251 0.128880i
\(672\) −7923.17 18773.1i −0.454826 1.07766i
\(673\) −3233.83 2713.50i −0.185223 0.155420i 0.545461 0.838136i \(-0.316354\pi\)
−0.730684 + 0.682715i \(0.760799\pi\)
\(674\) −3150.28 1592.41i −0.180036 0.0910051i
\(675\) 2886.69 8328.41i 0.164605 0.474905i
\(676\) −8505.42 11549.8i −0.483922 0.657135i
\(677\) 10159.9 12108.0i 0.576773 0.687371i −0.396234 0.918150i \(-0.629683\pi\)
0.973006 + 0.230779i \(0.0741274\pi\)
\(678\) −1273.29 7115.64i −0.0721247 0.403060i
\(679\) −18864.9 + 3326.39i −1.06623 + 0.188005i
\(680\) −6469.31 + 35085.0i −0.364833 + 1.97860i
\(681\) 4204.69 + 8266.04i 0.236599 + 0.465132i
\(682\) 8952.63 + 6701.27i 0.502659 + 0.376254i
\(683\) 6748.97 11689.6i 0.378100 0.654888i −0.612686 0.790327i \(-0.709911\pi\)
0.990786 + 0.135438i \(0.0432443\pi\)
\(684\) 10872.8 6351.15i 0.607794 0.355033i
\(685\) −13828.9 23952.4i −0.771351 1.33602i
\(686\) 1575.79 13184.0i 0.0877024 0.733773i
\(687\) −16464.8 15374.6i −0.914371 0.853826i
\(688\) −24467.6 + 10253.5i −1.35584 + 0.568183i
\(689\) 1368.09 + 1630.43i 0.0756459 + 0.0901513i
\(690\) −12413.4 + 4553.78i −0.684882 + 0.251246i
\(691\) 7050.98 + 19372.4i 0.388179 + 1.06651i 0.967820 + 0.251642i \(0.0809704\pi\)
−0.579641 + 0.814872i \(0.696807\pi\)
\(692\) 19373.2 + 8476.68i 1.06425 + 0.465657i
\(693\) 12249.0 5433.68i 0.671428 0.297847i
\(694\) 16761.3 10961.7i 0.916787 0.599568i
\(695\) −1245.13 + 7061.50i −0.0679576 + 0.385407i
\(696\) −14487.1 19568.4i −0.788981 1.06571i
\(697\) 39393.6 + 14338.1i 2.14080 + 0.779188i
\(698\) −4044.25 + 13381.8i −0.219308 + 0.725660i
\(699\) 19593.1 + 26037.7i 1.06020 + 1.40892i
\(700\) −10866.6 689.688i −0.586742 0.0372397i
\(701\) 3090.97i 0.166540i 0.996527 + 0.0832699i \(0.0265364\pi\)
−0.996527 + 0.0832699i \(0.973464\pi\)
\(702\) 824.409 7933.65i 0.0443238 0.426547i
\(703\) 21329.9i 1.14434i
\(704\) 10958.3 + 4183.45i 0.586659 + 0.223962i
\(705\) −6607.94 + 15538.0i −0.353006 + 0.830063i
\(706\) −11601.2 3506.10i −0.618437 0.186903i
\(707\) −24168.3 8796.53i −1.28563 0.467931i
\(708\) 13073.9 + 19880.9i 0.693995 + 1.05532i
\(709\) 1629.25 9239.93i 0.0863014 0.489440i −0.910767 0.412921i \(-0.864508\pi\)
0.997068 0.0765185i \(-0.0243804\pi\)
\(710\) −15408.7 23561.2i −0.814479 1.24540i
\(711\) −627.629 + 1282.41i −0.0331054 + 0.0676429i
\(712\) −4722.78 5718.49i −0.248587 0.300997i
\(713\) −3874.73 10645.7i −0.203520 0.559167i
\(714\) −23473.1 + 28118.7i −1.23033 + 1.47383i
\(715\) −4056.76 4834.66i −0.212188 0.252876i
\(716\) 3862.09 + 936.594i 0.201583 + 0.0488857i
\(717\) −4687.64 + 1429.68i −0.244161 + 0.0744662i
\(718\) −3258.70 389.488i −0.169378 0.0202445i
\(719\) 3892.80 + 6742.52i 0.201915 + 0.349727i 0.949145 0.314838i \(-0.101950\pi\)
−0.747230 + 0.664565i \(0.768617\pi\)
\(720\) 23642.0 + 1380.16i 1.22373 + 0.0714385i
\(721\) −8195.09 + 14194.3i −0.423302 + 0.733181i
\(722\) −5865.48 + 7836.05i −0.302342 + 0.403916i
\(723\) −3016.35 + 4637.87i −0.155158 + 0.238568i
\(724\) 5702.58 + 19415.2i 0.292727 + 0.996632i
\(725\) −12812.7 + 2259.22i −0.656345 + 0.115731i
\(726\) 4023.98 11143.7i 0.205708 0.569669i
\(727\) −9241.98 + 11014.2i −0.471480 + 0.561888i −0.948407 0.317055i \(-0.897306\pi\)
0.476927 + 0.878943i \(0.341751\pi\)
\(728\) −9716.52 + 1635.16i −0.494668 + 0.0832459i
\(729\) −14680.8 + 13110.8i −0.745864 + 0.666098i
\(730\) 10816.7 21398.8i 0.548418 1.08494i
\(731\) 36531.2 + 30653.3i 1.84836 + 1.55096i
\(732\) 3002.33 2832.17i 0.151597 0.143006i
\(733\) 834.059 + 4730.19i 0.0420282 + 0.238354i 0.998584 0.0531950i \(-0.0169405\pi\)
−0.956556 + 0.291549i \(0.905829\pi\)
\(734\) 5250.73 4928.04i 0.264044 0.247816i
\(735\) −7539.93 4903.77i −0.378387 0.246093i
\(736\) −6971.36 9623.13i −0.349141 0.481948i
\(737\) −17585.9 10153.2i −0.878947 0.507460i
\(738\) 6209.57 27126.4i 0.309725 1.35303i
\(739\) −14725.8 + 8501.95i −0.733014 + 0.423206i −0.819524 0.573045i \(-0.805762\pi\)
0.0865098 + 0.996251i \(0.472429\pi\)
\(740\) 22218.6 33401.7i 1.10375 1.65928i
\(741\) −1776.24 5823.96i −0.0880591 0.288729i
\(742\) −6316.87 + 1479.77i −0.312533 + 0.0732131i
\(743\) −25368.6 + 21286.8i −1.25260 + 1.05106i −0.256173 + 0.966631i \(0.582462\pi\)
−0.996430 + 0.0844276i \(0.973094\pi\)
\(744\) −1233.90 + 20253.6i −0.0608026 + 0.998029i
\(745\) 38342.3 13955.5i 1.88557 0.686293i
\(746\) −1355.30 24361.8i −0.0665161 1.19564i
\(747\) 4214.76 + 2062.76i 0.206439 + 0.101034i
\(748\) −2338.77 20954.9i −0.114323 1.02432i
\(749\) 3609.03 + 636.369i 0.176063 + 0.0310446i
\(750\) −6233.90 + 10860.9i −0.303506 + 0.528781i
\(751\) −4657.96 + 12797.6i −0.226327 + 0.621828i −0.999930 0.0118426i \(-0.996230\pi\)
0.773603 + 0.633671i \(0.218453\pi\)
\(752\) −15052.7 1918.47i −0.729939 0.0930310i
\(753\) −1187.98 505.218i −0.0574930 0.0244504i
\(754\) −10822.5 + 4634.98i −0.522720 + 0.223867i