Properties

Label 108.4.l.a.11.3
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 11.3
Character \(\chi\) \(=\) 108.11
Dual form 108.4.l.a.59.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.76593 + 0.591311i) q^{2} +(-5.08011 + 1.09199i) q^{3} +(7.30070 - 3.27105i) q^{4} +(-6.87889 + 18.8996i) q^{5} +(13.4055 - 6.02429i) q^{6} +(22.1047 + 3.89766i) q^{7} +(-18.2590 + 13.3645i) q^{8} +(24.6151 - 11.0949i) q^{9} +O(q^{10})\) \(q+(-2.76593 + 0.591311i) q^{2} +(-5.08011 + 1.09199i) q^{3} +(7.30070 - 3.27105i) q^{4} +(-6.87889 + 18.8996i) q^{5} +(13.4055 - 6.02429i) q^{6} +(22.1047 + 3.89766i) q^{7} +(-18.2590 + 13.3645i) q^{8} +(24.6151 - 11.0949i) q^{9} +(7.85096 - 56.3424i) q^{10} +(-8.65672 + 3.15079i) q^{11} +(-33.5164 + 24.5896i) q^{12} +(-50.5865 + 42.4471i) q^{13} +(-63.4447 + 2.29013i) q^{14} +(14.3074 - 103.524i) q^{15} +(42.6005 - 47.7619i) q^{16} +(-28.8132 + 16.6353i) q^{17} +(-61.5231 + 45.2428i) q^{18} +(-47.2000 - 27.2509i) q^{19} +(11.6007 + 160.481i) q^{20} +(-116.551 + 4.33759i) q^{21} +(22.0808 - 13.8337i) q^{22} +(-24.3591 - 138.147i) q^{23} +(78.1640 - 87.8316i) q^{24} +(-214.120 - 179.668i) q^{25} +(114.819 - 147.318i) q^{26} +(-112.932 + 83.2427i) q^{27} +(174.129 - 43.8499i) q^{28} +(60.0544 - 71.5700i) q^{29} +(21.6416 + 294.799i) q^{30} +(-13.8120 + 2.43543i) q^{31} +(-89.5878 + 157.296i) q^{32} +(40.5365 - 25.4594i) q^{33} +(69.8586 - 63.0497i) q^{34} +(-225.720 + 390.958i) q^{35} +(143.416 - 161.518i) q^{36} +(171.170 + 296.475i) q^{37} +(146.666 + 47.4642i) q^{38} +(210.634 - 270.876i) q^{39} +(-126.981 - 437.020i) q^{40} +(39.0468 + 46.5342i) q^{41} +(319.806 - 80.9151i) q^{42} +(-123.873 - 340.337i) q^{43} +(-52.8938 + 51.3195i) q^{44} +(40.3639 + 541.536i) q^{45} +(149.064 + 367.702i) q^{46} +(-38.5295 + 218.511i) q^{47} +(-164.260 + 289.155i) q^{48} +(151.112 + 55.0002i) q^{49} +(698.479 + 370.337i) q^{50} +(128.209 - 115.973i) q^{51} +(-230.471 + 475.365i) q^{52} -71.5744i q^{53} +(263.140 - 297.021i) q^{54} -185.282i q^{55} +(-455.700 + 224.250i) q^{56} +(269.539 + 86.8959i) q^{57} +(-123.786 + 233.468i) q^{58} +(-695.709 - 253.217i) q^{59} +(-234.177 - 802.596i) q^{60} +(77.6974 - 440.644i) q^{61} +(36.7630 - 14.9034i) q^{62} +(587.354 - 149.308i) q^{63} +(154.782 - 488.043i) q^{64} +(-454.255 - 1248.05i) q^{65} +(-97.0665 + 94.3886i) q^{66} +(306.923 + 365.776i) q^{67} +(-155.942 + 215.699i) q^{68} +(274.603 + 675.205i) q^{69} +(393.147 - 1214.83i) q^{70} +(59.7838 + 103.549i) q^{71} +(-301.170 + 531.549i) q^{72} +(-564.552 + 977.833i) q^{73} +(-648.753 - 718.814i) q^{74} +(1283.95 + 678.917i) q^{75} +(-433.732 - 44.5576i) q^{76} +(-203.635 + 35.9063i) q^{77} +(-422.425 + 873.774i) q^{78} +(-118.965 + 141.777i) q^{79} +(609.636 + 1133.68i) q^{80} +(482.808 - 546.203i) q^{81} +(-135.517 - 105.621i) q^{82} +(-289.284 - 242.738i) q^{83} +(-836.713 + 412.910i) q^{84} +(-116.198 - 658.991i) q^{85} +(543.868 + 868.101i) q^{86} +(-226.929 + 429.163i) q^{87} +(115.954 - 173.223i) q^{88} +(605.809 + 349.764i) q^{89} +(-431.860 - 1473.98i) q^{90} +(-1283.65 + 741.113i) q^{91} +(-629.726 - 928.894i) q^{92} +(67.5072 - 27.4549i) q^{93} +(-22.6386 - 627.169i) q^{94} +(839.715 - 704.604i) q^{95} +(283.350 - 896.911i) q^{96} +(32.5468 - 11.8460i) q^{97} +(-450.486 - 62.7724i) q^{98} +(-178.129 + 173.602i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.76593 + 0.591311i −0.977903 + 0.209060i
\(3\) −5.08011 + 1.09199i −0.977668 + 0.210154i
\(4\) 7.30070 3.27105i 0.912588 0.408881i
\(5\) −6.87889 + 18.8996i −0.615266 + 1.69043i 0.103016 + 0.994680i \(0.467151\pi\)
−0.718283 + 0.695751i \(0.755072\pi\)
\(6\) 13.4055 6.02429i 0.912130 0.409901i
\(7\) 22.1047 + 3.89766i 1.19354 + 0.210454i 0.734905 0.678170i \(-0.237227\pi\)
0.458637 + 0.888624i \(0.348338\pi\)
\(8\) −18.2590 + 13.3645i −0.806942 + 0.590631i
\(9\) 24.6151 11.0949i 0.911671 0.410921i
\(10\) 7.85096 56.3424i 0.248269 1.78170i
\(11\) −8.65672 + 3.15079i −0.237282 + 0.0863635i −0.457924 0.888991i \(-0.651407\pi\)
0.220642 + 0.975355i \(0.429185\pi\)
\(12\) −33.5164 + 24.5896i −0.806280 + 0.591533i
\(13\) −50.5865 + 42.4471i −1.07924 + 0.905594i −0.995858 0.0909234i \(-0.971018\pi\)
−0.0833869 + 0.996517i \(0.526574\pi\)
\(14\) −63.4447 + 2.29013i −1.21117 + 0.0437187i
\(15\) 14.3074 103.524i 0.246276 1.78198i
\(16\) 42.6005 47.7619i 0.665633 0.746279i
\(17\) −28.8132 + 16.6353i −0.411072 + 0.237333i −0.691250 0.722615i \(-0.742940\pi\)
0.280178 + 0.959948i \(0.409607\pi\)
\(18\) −61.5231 + 45.2428i −0.805618 + 0.592435i
\(19\) −47.2000 27.2509i −0.569917 0.329042i 0.187199 0.982322i \(-0.440059\pi\)
−0.757116 + 0.653280i \(0.773392\pi\)
\(20\) 11.6007 + 160.481i 0.129700 + 1.79424i
\(21\) −116.551 + 4.33759i −1.21112 + 0.0450733i
\(22\) 22.0808 13.8337i 0.213983 0.134061i
\(23\) −24.3591 138.147i −0.220836 1.25242i −0.870487 0.492191i \(-0.836196\pi\)
0.649651 0.760233i \(1.72508\pi\)
\(24\) 78.1640 87.8316i 0.664798 0.747023i
\(25\) −214.120 179.668i −1.71296 1.43734i
\(26\) 114.819 147.318i 0.866073 1.11121i
\(27\) −112.932 + 83.2427i −0.804955 + 0.593336i
\(28\) 174.129 43.8499i 1.17526 0.295959i
\(29\) 60.0544 71.5700i 0.384546 0.458284i −0.538698 0.842499i \(-0.681084\pi\)
0.923243 + 0.384215i \(0.125528\pi\)
\(30\) 21.6416 + 294.799i 0.131707 + 1.79409i
\(31\) −13.8120 + 2.43543i −0.0800231 + 0.0141102i −0.213516 0.976939i \(-0.568492\pi\)
0.133493 + 0.991050i \(0.457381\pi\)
\(32\) −89.5878 + 157.296i −0.494907 + 0.868946i
\(33\) 40.5365 25.4594i 0.213833 0.134300i
\(34\) 69.8586 63.0497i 0.352372 0.318027i
\(35\) −225.720 + 390.958i −1.09010 + 1.88811i
\(36\) 143.416 161.518i 0.663962 0.747766i
\(37\) 171.170 + 296.475i 0.760545 + 1.31730i 0.942570 + 0.334009i \(0.108402\pi\)
−0.182025 + 0.983294i \(0.558265\pi\)
\(38\) 146.666 + 47.4642i 0.626113 + 0.202624i
\(39\) 210.634 270.876i 0.864830 1.11218i
\(40\) −126.981 437.020i −0.501937 1.72747i
\(41\) 39.0468 + 46.5342i 0.148734 + 0.177254i 0.835267 0.549844i \(-0.185313\pi\)
−0.686533 + 0.727098i \(0.740868\pi\)
\(42\) 319.806 80.9151i 1.17493 0.297273i
\(43\) −123.873 340.337i −0.439312 1.20700i −0.939941 0.341337i \(-0.889120\pi\)
0.500629 0.865662i \(1.66690\pi\)
\(44\) −52.8938 + 51.3195i −0.181228 + 0.175834i
\(45\) 40.3639 + 541.536i 0.133713 + 1.79394i
\(46\) 149.064 + 367.702i 0.477788 + 1.17858i
\(47\) −38.5295 + 218.511i −0.119577 + 0.678152i 0.864805 + 0.502107i \(0.167442\pi\)
−0.984382 + 0.176045i \(0.943669\pi\)
\(48\) −164.260 + 289.155i −0.493935 + 0.869499i
\(49\) 151.112 + 55.0002i 0.440559 + 0.160350i
\(50\) 698.479 + 370.337i 1.97560 + 1.04747i
\(51\) 128.209 115.973i 0.352016 0.318421i
\(52\) −230.471 + 475.365i −0.614626 + 1.26772i
\(53\) 71.5744i 0.185500i −0.995689 0.0927500i \(-0.970434\pi\)
0.995689 0.0927500i \(-0.0295658\pi\)
\(54\) 263.140 297.021i 0.663125 0.748508i
\(55\) 185.282i 0.454245i
\(56\) −455.700 + 224.250i −1.08742 + 0.535119i
\(57\) 269.539 + 86.8959i 0.626339 + 0.201924i
\(58\) −123.786 + 233.468i −0.280239 + 0.528550i
\(59\) −695.709 253.217i −1.53515 0.558748i −0.570271 0.821456i \(-0.693162\pi\)
−0.964875 + 0.262709i \(0.915384\pi\)
\(60\) −234.177 802.596i −0.503869 1.72691i
\(61\) 77.6974 440.644i 0.163084 0.924896i −0.787934 0.615760i \(-0.788849\pi\)
0.951018 0.309136i \(-0.100040\pi\)
\(62\) 36.7630 14.9034i 0.0753049 0.0305281i
\(63\) 587.354 149.308i 1.17460 0.298587i
\(64\) 154.782 488.043i 0.302309 0.953210i
\(65\) −454.255 1248.05i −0.866821 2.38157i
\(66\) −97.0665 + 94.3886i −0.181031 + 0.176037i
\(67\) 306.923 + 365.776i 0.559650 + 0.666965i 0.969472 0.245200i \(-0.0788537\pi\)
−0.409822 + 0.912165i \(0.634409\pi\)
\(68\) −155.942 + 215.699i −0.278099 + 0.384667i
\(69\) 274.603 + 675.205i 0.479106 + 1.17805i
\(70\) 393.147 1214.83i 0.671286 2.07429i
\(71\) 59.7838 + 103.549i 0.0999300 + 0.173084i 0.911655 0.410955i \(-0.134805\pi\)
−0.811726 + 0.584039i \(0.801471\pi\)
\(72\) −301.170 + 531.549i −0.492962 + 0.870051i
\(73\) −564.552 + 977.833i −0.905148 + 1.56776i −0.0844306 + 0.996429i \(0.526907\pi\)
−0.820718 + 0.571334i \(0.806426\pi\)
\(74\) −648.753 718.814i −1.01913 1.12919i
\(75\) 1283.95 + 678.917i 1.97677 + 1.04526i
\(76\) −433.732 44.5576i −0.654638 0.0672514i
\(77\) −203.635 + 35.9063i −0.301381 + 0.0531416i
\(78\) −422.425 + 873.774i −0.613207 + 1.26840i
\(79\) −118.965 + 141.777i −0.169425 + 0.201913i −0.844075 0.536225i \(-0.819850\pi\)
0.674650 + 0.738137i \(0.264294\pi\)
\(80\) 609.636 + 1133.68i 0.851992 + 1.58437i
\(81\) 482.808 546.203i 0.662288 0.749250i
\(82\) −135.517 105.621i −0.182504 0.142243i
\(83\) −289.284 242.738i −0.382567 0.321012i 0.431142 0.902284i \(-0.358111\pi\)
−0.813709 + 0.581272i \(0.802555\pi\)
\(84\) −836.713 + 412.910i −1.08682 + 0.536335i
\(85\) −116.198 658.991i −0.148276 0.840912i
\(86\) 543.868 + 868.101i 0.681939 + 1.08848i
\(87\) −226.929 + 429.163i −0.279648 + 0.528863i
\(88\) 115.954 173.223i 0.140464 0.209836i
\(89\) 605.809 + 349.764i 0.721524 + 0.416572i 0.815313 0.579020i \(-0.196565\pi\)
−0.0937895 + 0.995592i \(0.529898\pi\)
\(90\) −431.860 1473.98i −0.505800 1.72635i
\(91\) −1283.65 + 741.113i −1.47871 + 0.853733i
\(92\) −629.726 928.894i −0.713624 1.05265i
\(93\) 67.5072 27.4549i 0.0752707 0.0306123i
\(94\) −22.6386 627.169i −0.0248403 0.688166i
\(95\) 839.715 704.604i 0.906873 0.760957i
\(96\) 283.350 896.911i 0.301243 0.953547i
\(97\) 32.5468 11.8460i 0.0340683 0.0123998i −0.324930 0.945738i \(-0.605341\pi\)
0.358998 + 0.933338i \(0.383118\pi\)
\(98\) −450.486 62.7724i −0.464347 0.0647038i
\(99\) −178.129 + 173.602i −0.180834 + 0.176239i
\(100\) −2150.93 611.306i −2.15093 0.611306i
\(101\) −348.964 61.5318i −0.343794 0.0606202i −0.000914771 1.00000i \(-0.500291\pi\)
−0.342880 + 0.939379i \(0.611402\pi\)
\(102\) −286.040 + 396.584i −0.277669 + 0.384977i
\(103\) −406.967 + 1118.13i −0.389317 + 1.06964i 0.577993 + 0.816042i \(0.303836\pi\)
−0.967310 + 0.253597i \(0.918386\pi\)
\(104\) 356.377 1451.10i 0.336015 1.36820i
\(105\) 719.760 2232.60i 0.668966 2.07504i
\(106\) 42.3228 + 197.970i 0.0387807 + 0.181401i
\(107\) 270.522 0.244414 0.122207 0.992505i \(-0.461003\pi\)
0.122207 + 0.992505i \(0.461003\pi\)
\(108\) −552.193 + 977.136i −0.491989 + 0.870601i
\(109\) −1513.91 −1.33033 −0.665164 0.746697i \(-0.731639\pi\)
−0.665164 + 0.746697i \(0.731639\pi\)
\(110\) 109.560 + 512.478i 0.0949645 + 0.444207i
\(111\) −1193.31 1319.21i −1.02040 1.12805i
\(112\) 1127.83 889.720i 0.951518 0.750631i
\(113\) 339.044 931.517i 0.282253 0.775484i −0.714840 0.699288i \(-0.753500\pi\)
0.997093 0.0761959i \(-0.0242775\pi\)
\(114\) −796.908 80.9662i −0.654713 0.0665191i
\(115\) 2778.49 + 489.924i 2.25301 + 0.397266i
\(116\) 204.330 718.952i 0.163548 0.575457i
\(117\) −774.248 + 1606.09i −0.611788 + 1.26909i
\(118\) 2074.01 + 289.000i 1.61804 + 0.225463i
\(119\) −701.746 + 255.415i −0.540580 + 0.196755i
\(120\) 1122.30 + 2081.45i 0.853763 + 1.58341i
\(121\) −954.594 + 800.999i −0.717200 + 0.601803i
\(122\) 45.6523 + 1264.73i 0.0338784 + 0.938553i
\(123\) −249.177 193.760i −0.182663 0.142039i
\(124\) −92.8711 + 62.9602i −0.0672587 + 0.0455967i
\(125\) 2691.31 1553.83i 1.92575 1.11183i
\(126\) −1536.29 + 760.283i −1.08622 + 0.537551i
\(127\) 1731.86 + 999.889i 1.21006 + 0.698629i 0.962772 0.270313i \(-0.0871273\pi\)
0.247288 + 0.968942i \(0.420461\pi\)
\(128\) −139.531 + 1441.42i −0.0963511 + 0.995347i
\(129\) 1000.93 + 1593.68i 0.683156 + 1.08772i
\(130\) 1994.42 + 3183.42i 1.34556 + 2.14773i
\(131\) 186.751 + 1059.12i 0.124553 + 0.706378i 0.981572 + 0.191092i \(0.0612030\pi\)
−0.857019 + 0.515285i \(0.827686\pi\)
\(132\) 212.666 318.468i 0.140229 0.209993i
\(133\) −937.127 786.343i −0.610972 0.512666i
\(134\) −1065.21 830.223i −0.686719 0.535227i
\(135\) −796.405 2706.99i −0.507731 1.72578i
\(136\) 303.779 688.817i 0.191535 0.434306i
\(137\) −950.409 + 1132.65i −0.592693 + 0.706344i −0.976121 0.217227i \(-0.930299\pi\)
0.383428 + 0.923571i \(0.374743\pi\)
\(138\) −1158.79 1705.19i −0.714801 1.05185i
\(139\) 888.751 156.711i 0.542323 0.0956261i 0.104225 0.994554i \(-0.466764\pi\)
0.438097 + 0.898928i \(0.355653\pi\)
\(140\) −369.071 + 3592.61i −0.222801 + 2.16879i
\(141\) −42.8783 1152.14i −0.0256100 0.688138i
\(142\) −226.587 251.057i −0.133907 0.148368i
\(143\) 304.172 526.841i 0.177875 0.308088i
\(144\) 518.705 1648.31i 0.300176 0.953884i
\(145\) 939.537 + 1627.33i 0.538099 + 0.932014i
\(146\) 983.307 3038.44i 0.557391 1.72235i
\(147\) −827.725 114.395i −0.464419 0.0641844i
\(148\) 2219.45 + 1604.57i 1.23268 + 0.891182i
\(149\) 1744.59 + 2079.12i 0.959210 + 1.14314i 0.989635 + 0.143605i \(0.0458696\pi\)
−0.0304246 + 0.999537i \(0.509686\pi\)
\(150\) −3952.76 1118.62i −2.15161 0.608900i
\(151\) 555.568 + 1526.41i 0.299414 + 0.822633i 0.994598 + 0.103801i \(0.0331006\pi\)
−0.695184 + 0.718832i \(0.744677\pi\)
\(152\) 1226.02 133.228i 0.654232 0.0710934i
\(153\) −524.674 + 729.159i −0.277238 + 0.385288i
\(154\) 542.008 219.726i 0.283612 0.114974i
\(155\) 48.9827 277.795i 0.0253832 0.143955i
\(156\) 651.724 2666.58i 0.334485 1.36857i
\(157\) 384.371 + 139.899i 0.195389 + 0.0711159i 0.437861 0.899042i \(-0.355736\pi\)
−0.242472 + 0.970158i \(0.577958\pi\)
\(158\) 245.214 462.489i 0.123469 0.232871i
\(159\) 78.1586 + 363.606i 0.0389835 + 0.181358i
\(160\) −2356.57 2775.19i −1.16439 1.37124i
\(161\) 3148.65i 1.54130i
\(162\) −1012.43 + 1796.25i −0.491015 + 0.871151i
\(163\) 1417.08i 0.680944i 0.940255 + 0.340472i \(0.110587\pi\)
−0.940255 + 0.340472i \(0.889413\pi\)
\(164\) 437.285 + 212.008i 0.208208 + 0.100946i
\(165\) 202.327 + 941.256i 0.0954612 + 0.444101i
\(166\) 943.673 + 500.340i 0.441224 + 0.233939i
\(167\) −1920.13 698.870i −0.889725 0.323833i −0.143597 0.989636i \(-0.545867\pi\)
−0.746128 + 0.665803i \(0.768089\pi\)
\(168\) 2070.13 1636.84i 0.950678 0.751694i
\(169\) 375.733 2130.89i 0.171021 0.969907i
\(170\) 711.063 + 1754.01i 0.320800 + 0.791332i
\(171\) −1464.18 147.107i −0.654787 0.0657868i
\(172\) −2017.62 2079.51i −0.894429 0.921866i
\(173\) 887.762 + 2439.11i 0.390146 + 1.07192i 0.966935 + 0.255024i \(0.0820835\pi\)
−0.576788 + 0.816894i \(0.695694\pi\)
\(174\) 373.901 1321.22i 0.162905 0.575640i
\(175\) −4032.77 4806.07i −1.74199 2.07603i
\(176\) −218.293 + 547.686i −0.0934913 + 0.234565i
\(177\) 3810.79 + 526.666i 1.61829 + 0.223653i
\(178\) −1882.44 609.200i −0.792669 0.256525i
\(179\) 1.57087 + 2.72083i 0.000655936 + 0.00113612i 0.866353 0.499432i \(-0.166458\pi\)
−0.865697 + 0.500568i \(0.833125\pi\)
\(180\) 2066.07 + 3821.56i 0.855534 + 1.58246i
\(181\) 1262.70 2187.05i 0.518539 0.898135i −0.481229 0.876595i \(-0.659810\pi\)
0.999768 0.0215404i \(-0.00685705\pi\)
\(182\) 3112.24 2808.90i 1.26755 1.14401i
\(183\) 86.4671 + 2323.37i 0.0349281 + 0.938514i
\(184\) 2291.04 + 2196.89i 0.917922 + 0.880200i
\(185\) −6780.72 + 1195.62i −2.69475 + 0.475157i
\(186\) −170.486 + 115.856i −0.0672076 + 0.0456719i
\(187\) 197.014 234.792i 0.0770431 0.0918164i
\(188\) 433.469 + 1721.32i 0.168159 + 0.667766i
\(189\) −2820.78 + 1399.88i −1.08562 + 0.538765i
\(190\) −1905.95 + 2445.42i −0.727748 + 0.933733i
\(191\) −3503.15 2939.49i −1.32712 1.11358i −0.984742 0.174018i \(-0.944325\pi\)
−0.342373 0.939564i \(1.38877\pi\)
\(192\) −253.373 + 2648.34i −0.0952378 + 0.995455i
\(193\) 734.326 + 4164.57i 0.273875 + 1.55322i 0.742512 + 0.669833i \(0.233634\pi\)
−0.468636 + 0.883391i \(0.655254\pi\)
\(194\) −83.0172 + 52.0106i −0.0307231 + 0.0192481i
\(195\) 3670.53 + 5844.22i 1.34796 + 2.14622i
\(196\) 1283.13 92.7536i 0.467613 0.0338023i
\(197\) −2158.64 1246.29i −0.780692 0.450733i 0.0559832 0.998432i \(-0.482171\pi\)
−0.836676 + 0.547699i \(0.815504\pi\)
\(198\) 390.038 585.500i 0.139994 0.210150i
\(199\) 3.80882 2.19902i 0.00135679 0.000783340i −0.499321 0.866417i \(-0.666417\pi\)
0.500678 + 0.865633i \(0.333084\pi\)
\(200\) 6310.78 + 418.960i 2.23120 + 0.148125i
\(201\) −1958.63 1523.03i −0.687318 0.534458i
\(202\) 1001.59 36.1539i 0.348871 0.0125930i
\(203\) 1606.44 1347.96i 0.555419 0.466052i
\(204\) 556.661 1266.06i 0.191049 0.434520i
\(205\) −1148.08 + 417.865i −0.391147 + 0.142366i
\(206\) 464.477 3333.32i 0.157095 1.12739i
\(207\) −2132.33 3130.26i −0.715977 1.05105i
\(208\) −127.657 + 4224.38i −0.0425550 + 1.40821i
\(209\) 494.459 + 87.1865i 0.163648 + 0.0288556i
\(210\) −670.645 + 6600.80i −0.220376 + 2.16904i
\(211\) 547.709 1504.82i 0.178701 0.490976i −0.817710 0.575631i \(-0.804756\pi\)
0.996410 + 0.0846546i \(0.0269787\pi\)
\(212\) −234.123 522.544i −0.0758474 0.169285i
\(213\) −416.782 460.755i −0.134073 0.148218i
\(214\) −748.243 + 159.962i −0.239013 + 0.0510972i
\(215\) 7284.34 2.31064
\(216\) 949.534 3029.20i 0.299109 0.954219i
\(217\) −314.804 −0.0984804
\(218\) 4187.35 895.189i 1.30093 0.278119i
\(219\) 1800.21 5583.99i 0.555464 1.72297i
\(220\) −606.067 1352.69i −0.185732 0.414538i
\(221\) 751.439 2064.56i 0.228721 0.628405i
\(222\) 4080.68 + 2943.22i 1.23368 + 0.889803i
\(223\) −4850.45 855.265i −1.45655 0.256829i −0.611383 0.791335i \(-0.709386\pi\)
−0.845165 + 0.534506i \(0.820498\pi\)
\(224\) −2593.40 + 3127.80i −0.773565 + 0.932968i
\(225\) −7263.98 2046.91i −2.15229 0.606493i
\(226\) −386.956 + 2776.99i −0.113893 + 0.817356i
\(227\) −839.638 + 305.603i −0.245501 + 0.0893550i −0.461840 0.886963i \(-0.652811\pi\)
0.216339 + 0.976318i \(0.430588\pi\)
\(228\) 2252.07 247.274i 0.654152 0.0718250i
\(229\) 603.767 506.621i 0.174227 0.146194i −0.551504 0.834172i \(-0.685946\pi\)
0.725732 + 0.687978i \(0.241501\pi\)
\(230\) −7974.81 + 287.862i −2.28628 + 0.0825263i
\(231\) 995.279 404.776i 0.283483 0.115291i
\(232\) −140.038 + 2109.39i −0.0396292 + 0.596933i
\(233\) 1602.92 925.448i 0.450691 0.260206i −0.257431 0.966297i \(-0.582876\pi\)
0.708122 + 0.706090i \(0.249543\pi\)
\(234\) 1191.81 4900.16i 0.332954 1.36895i
\(235\) −3864.74 2231.31i −1.07280 0.619380i
\(236\) −5907.45 + 427.032i −1.62942 + 0.117786i
\(237\) 449.535 850.149i 0.123209 0.233009i
\(238\) 1789.95 1121.41i 0.487501 0.305421i
\(239\) −332.014 1882.95i −0.0898587 0.509614i −0.996202 0.0870719i \(-0.972249\pi\)
0.906343 0.422542i \(1.86114\pi\)
\(240\) −4334.99 5093.51i −1.16593 1.36994i
\(241\) 487.202 + 408.811i 0.130222 + 0.109269i 0.705572 0.708638i \(-0.250690\pi\)
−0.575351 + 0.817907i \(0.695134\pi\)
\(242\) 2166.70 2779.97i 0.575539 0.738442i
\(243\) −1856.27 + 3301.99i −0.490040 + 0.871700i
\(244\) −874.121 3471.16i −0.229344 0.910731i
\(245\) −2078.96 + 2477.61i −0.542122 + 0.646076i
\(246\) 803.778 + 388.585i 0.208321 + 0.100713i
\(247\) 3544.41 624.975i 0.913058 0.160997i
\(248\) 219.646 229.059i 0.0562400 0.0586503i
\(249\) 1734.67 + 917.243i 0.441486 + 0.233445i
\(250\) −6525.17 + 5889.18i −1.65075 + 1.48986i
\(251\) −3949.77 + 6841.21i −0.993257 + 1.72037i −0.396224 + 0.918154i \(0.629679\pi\)
−0.597033 + 0.802217i \(0.703654\pi\)
\(252\) 3799.70 3011.31i 0.949837 0.752757i
\(253\) 646.144 + 1119.15i 0.160564 + 0.278105i
\(254\) −5381.44 1741.55i −1.32938 0.430216i
\(255\) 1309.91 + 3220.86i 0.321685 + 0.790973i
\(256\) −466.393 4069.36i −0.113865 0.993496i
\(257\) 2156.62 + 2570.15i 0.523447 + 0.623820i 0.961392 0.275182i \(-0.0887380\pi\)
−0.437945 + 0.899002i \(0.644294\pi\)
\(258\) −3710.87 3816.15i −0.895460 0.920865i
\(259\) 2628.10 + 7220.66i 0.630511 + 1.73232i
\(260\) −7398.82 7625.78i −1.76483 1.81897i
\(261\) 684.186 2428.00i 0.162261 0.575822i
\(262\) −1142.81 2819.01i −0.269476 0.664730i
\(263\) −322.444 + 1828.67i −0.0755997 + 0.428747i 0.923392 + 0.383858i \(0.125405\pi\)
−0.998992 + 0.0448895i \(0.985706\pi\)
\(264\) −399.905 + 1006.61i −0.0932289 + 0.234669i
\(265\) 1352.73 + 492.353i 0.313575 + 0.114132i
\(266\) 3057.00 + 1620.83i 0.704649 + 0.373608i
\(267\) −3459.52 1115.30i −0.792955 0.255638i
\(268\) 3437.22 + 1666.46i 0.783439 + 0.379834i
\(269\) 2750.07i 0.623325i 0.950193 + 0.311663i \(0.100886\pi\)
−0.950193 + 0.311663i \(0.899114\pi\)
\(270\) 3803.47 + 7016.41i 0.857303 + 1.58150i
\(271\) 1141.95i 0.255973i −0.991776 0.127987i \(-0.959149\pi\)
0.991776 0.127987i \(-0.0408515\pi\)
\(272\) −432.924 + 2084.85i −0.0965069 + 0.464751i
\(273\) 5711.77 5166.67i 1.26627 1.14542i
\(274\) 1959.01 3694.82i 0.431928 0.814644i
\(275\) 2419.67 + 880.688i 0.530588 + 0.193118i
\(276\) 4213.42 + 4031.23i 0.918906 + 0.879173i
\(277\) 1223.72 6940.06i 0.265437 1.50537i −0.502349 0.864665i \(-0.667531\pi\)
0.767787 0.640705i \(-0.221358\pi\)
\(278\) −2365.55 + 958.978i −0.510347 + 0.206891i
\(279\) −312.964 + 213.191i −0.0671565 + 0.0457470i
\(280\) −1103.53 10155.1i −0.235530 2.16745i
\(281\) 1314.23 + 3610.81i 0.279004 + 0.766558i 0.997476 + 0.0710021i \(0.0226197\pi\)
−0.718472 + 0.695556i \(0.755158\pi\)
\(282\) 799.869 + 3161.37i 0.168906 + 0.667578i
\(283\) −3603.58 4294.58i −0.756929 0.902073i 0.240721 0.970594i \(-0.422616\pi\)
−0.997650 + 0.0685217i \(0.978172\pi\)
\(284\) 775.175 + 560.421i 0.161965 + 0.117095i
\(285\) −3496.43 + 4496.43i −0.726703 + 0.934546i
\(286\) −529.790 + 1637.06i −0.109535 + 0.338467i
\(287\) 681.744 + 1180.82i 0.140216 + 0.242862i
\(288\) −460.035 + 4865.82i −0.0941244 + 0.995560i
\(289\) −1903.03 + 3296.15i −0.387346 + 0.670903i
\(290\) −3560.95 3945.51i −0.721055 0.798924i
\(291\) −152.405 + 95.7200i −0.0307016 + 0.0192825i
\(292\) −923.090 + 8985.54i −0.184999 + 1.80082i
\(293\) −1154.67 + 203.600i −0.230227 + 0.0405953i −0.287571 0.957759i \(-0.592848\pi\)
0.0573442 + 0.998354i \(0.481737\pi\)
\(294\) 2357.07 173.036i 0.467575 0.0343253i
\(295\) 9571.41 11406.8i 1.88905 2.25128i
\(296\) −7087.62 3125.75i −1.39176 0.613785i
\(297\) 715.342 1076.43i 0.139759 0.210306i
\(298\) −6054.81 4719.10i −1.17700 0.917350i
\(299\) 7096.21 + 5954.43i 1.37252 + 1.15168i
\(300\) 11594.5 + 756.712i 2.23136 + 0.145629i
\(301\) −1411.65 8005.87i −0.270320 1.53306i
\(302\) −2439.24 3893.43i −0.464777 0.741859i
\(303\) 1839.97 68.4769i 0.348856 0.0129832i
\(304\) −3312.30 + 1093.46i −0.624912 + 0.206296i
\(305\) 7793.52 + 4499.59i 1.46313 + 0.844740i
\(306\) 1020.05 2327.05i 0.190563 0.434733i
\(307\) −6914.53 + 3992.11i −1.28545 + 0.742155i −0.977839 0.209357i \(-0.932863\pi\)
−0.307611 + 0.951512i \(0.599529\pi\)
\(308\) −1369.23 + 928.241i −0.253308 + 0.171725i
\(309\) 846.448 6124.64i 0.155834 1.12757i
\(310\) 28.7805 + 797.324i 0.00527298 + 0.146081i
\(311\) 6785.26 5693.51i 1.23716 1.03810i 0.239419 0.970916i \(-0.423043\pi\)
0.997741 0.0671839i \(-0.0214014\pi\)
\(312\) −225.842 + 7760.94i −0.0409800 + 1.40826i
\(313\) 2004.00 729.395i 0.361893 0.131718i −0.154673 0.987966i \(-0.549432\pi\)
0.516566 + 0.856247i \(0.327210\pi\)
\(314\) −1145.87 159.669i −0.205939 0.0286963i
\(315\) −1218.49 + 12127.8i −0.217950 + 2.16929i
\(316\) −404.768 + 1424.21i −0.0720569 + 0.253538i
\(317\) −1604.26 282.875i −0.284241 0.0501194i 0.0297098 0.999559i \(-0.490542\pi\)
−0.313951 + 0.949439i \(0.601653\pi\)
\(318\) −431.185 959.492i −0.0760367 0.169200i
\(319\) −294.372 + 808.781i −0.0516667 + 0.141953i
\(320\) 8159.09 + 6282.52i 1.42533 + 1.09751i
\(321\) −1374.28 + 295.407i −0.238956 + 0.0513645i
\(322\) 1861.83 + 8708.95i 0.322223 + 1.50724i
\(323\) 1813.31 0.312370
\(324\) 1738.18 5566.95i 0.298042 0.954553i
\(325\) 18458.0 3.15035
\(326\) −837.932 3919.53i −0.142358 0.665897i
\(327\) 7690.81 1653.17i 1.30062 0.279573i
\(328\) −1334.86 327.828i −0.224711 0.0551868i
\(329\) −1703.36 + 4679.96i −0.285439 + 0.784238i
\(330\) −1116.20 2483.81i −0.186196 0.414330i
\(331\) 4323.23 + 762.302i 0.717904 + 0.126586i 0.520654 0.853768i \(-0.325688\pi\)
0.197249 + 0.980353i \(0.436799\pi\)
\(332\) −2905.99 825.898i −0.480382 0.136527i
\(333\) 7502.72 + 5398.66i 1.23467 + 0.888423i
\(334\) 5724.18 + 797.629i 0.937765 + 0.130672i
\(335\) −9024.31 + 3284.58i −1.47179 + 0.535689i
\(336\) −4757.95 + 5751.46i −0.772521 + 0.933833i
\(337\) −2634.92 + 2210.96i −0.425914 + 0.357385i −0.830408 0.557156i \(-0.811892\pi\)
0.404493 + 0.914541i \(0.367448\pi\)
\(338\) 220.767 + 6116.05i 0.0355271 + 0.984229i
\(339\) −705.177 + 5102.44i −0.112979 + 0.817483i
\(340\) −3003.91 4431.01i −0.479147 0.706779i
\(341\) 111.893 64.6017i 0.0177694 0.0102592i
\(342\) 4136.80 458.898i 0.654071 0.0725566i
\(343\) −3541.51 2044.69i −0.557504 0.321875i
\(344\) 6810.21 + 4558.73i 1.06739 + 0.714506i
\(345\) −14650.1 + 545.222i −2.28618 + 0.0850833i
\(346\) −3897.76 6221.45i −0.605620 0.966668i
\(347\) 290.397 + 1646.92i 0.0449260 + 0.254788i 0.998996 0.0447952i \(-0.0142635\pi\)
−0.954070 + 0.299583i \(0.903152\pi\)
\(348\) −252.933 + 3875.49i −0.0389615 + 0.596977i
\(349\) 5140.37 + 4313.28i 0.788417 + 0.661561i 0.945353 0.326048i \(-0.105717\pi\)
−0.156936 + 0.987609i \(0.550162\pi\)
\(350\) 13996.2 + 10908.6i 2.13752 + 1.66597i
\(351\) 2179.43 9004.60i 0.331423 1.36932i
\(352\) 279.930 1643.94i 0.0423873 0.248927i
\(353\) 4686.93 5585.66i 0.706686 0.842195i −0.286580 0.958056i \(-0.592518\pi\)
0.993265 + 0.115861i \(0.0369628\pi\)
\(354\) −10851.8 + 796.645i −1.62928 + 0.119608i
\(355\) −2368.27 + 417.590i −0.354070 + 0.0624320i
\(356\) 5566.92 + 571.893i 0.828782 + 0.0851413i
\(357\) 3286.04 2063.84i 0.487159 0.305966i
\(358\) −5.95378 6.59675i −0.000878958 0.000973880i
\(359\) −4813.40 + 8337.05i −0.707636 + 1.22566i 0.258096 + 0.966119i \(0.416905\pi\)
−0.965732 + 0.259542i \(0.916428\pi\)
\(360\) −7974.34 9348.47i −1.16746 1.36863i
\(361\) −1944.27 3367.58i −0.283463 0.490973i
\(362\) −2199.30 + 6795.88i −0.319316 + 0.986694i
\(363\) 3974.76 5111.57i 0.574713 0.739086i
\(364\) −6947.30 + 9609.51i −1.00038 + 1.38372i
\(365\) −14597.2 17396.2i −2.09329 2.49468i
\(366\) −1612.99 6375.13i −0.230362 0.910474i
\(367\) −3046.55 8370.33i −0.433321 1.19054i −0.943762 0.330626i \(-0.892740\pi\)
0.510441 0.859913i \(1.67052\pi\)
\(368\) −7635.89 4721.72i −1.08165 0.668849i
\(369\) 1477.43 + 712.225i 0.208434 + 0.100480i
\(370\) 18048.0 7316.52i 2.53586 1.02802i
\(371\) 278.973 1582.13i 0.0390392 0.221402i
\(372\) 403.044 421.259i 0.0561744 0.0587131i
\(373\) −1289.41 469.307i −0.178990 0.0651469i 0.250971 0.967995i \(-0.419250\pi\)
−0.429960 + 0.902848i \(0.641472\pi\)
\(374\) −406.090 + 765.913i −0.0561455 + 0.105894i
\(375\) −11975.4 + 10832.5i −1.64909 + 1.49170i
\(376\) −2216.78 4504.73i −0.304047 0.617855i
\(377\) 6169.62i 0.842842i
\(378\) 6974.31 5539.94i 0.948994 0.753819i
\(379\) 10432.6i 1.41394i 0.707242 + 0.706972i \(0.249939\pi\)
−0.707242 + 0.706972i \(0.750061\pi\)
\(380\) 3825.71 7890.85i 0.516461 1.06524i
\(381\) −9889.91 3188.38i −1.32986 0.428729i
\(382\) 11427.6 + 6058.97i 1.53060 + 0.811528i
\(383\) −2676.75 974.256i −0.357116 0.129979i 0.157231 0.987562i \(-0.449743\pi\)
−0.514347 + 0.857582i \(0.671966\pi\)
\(384\) −865.179 7474.93i −0.114976 0.993368i
\(385\) 722.167 4095.61i 0.0955975 0.542160i
\(386\) −4493.65 11084.7i −0.592541 1.46165i
\(387\) −6825.14 7003.09i −0.896489 0.919863i
\(388\) 198.865 192.946i 0.0260202 0.0252458i
\(389\) 2832.22 + 7781.45i 0.369149 + 1.01423i 0.975686 + 0.219174i \(0.0703361\pi\)
−0.606537 + 0.795056i \(0.707442\pi\)
\(390\) −13608.2 13994.2i −1.76686 1.81699i
\(391\) 2999.99 + 3575.25i 0.388021 + 0.462425i
\(392\) −3494.20 + 1015.28i −0.450213 + 0.130815i
\(393\) −2105.26 5176.50i −0.270220 0.664428i
\(394\) 6707.57 + 2170.72i 0.857672 + 0.277561i
\(395\) −1861.17 3223.65i −0.237078 0.410631i
\(396\) −732.603 + 1850.08i −0.0929664 + 0.234773i
\(397\) −881.555 + 1526.90i −0.111446 + 0.193030i −0.916353 0.400370i \(-0.868881\pi\)
0.804908 + 0.593400i \(0.202215\pi\)
\(398\) −9.23462 + 8.33454i −0.00116304 + 0.00104968i
\(399\) 5619.39 + 2971.38i 0.705066 + 0.372820i
\(400\) −17702.9 + 2572.82i −2.21286 + 0.321603i
\(401\) 3752.76 661.713i 0.467341 0.0824049i 0.0649814 0.997886i \(-0.479301\pi\)
0.402360 + 0.915482i \(0.368190\pi\)
\(402\) 6318.00 + 3054.43i 0.783864 + 0.378958i
\(403\) 595.326 709.482i 0.0735863 0.0876968i
\(404\) −2748.96 + 692.253i −0.338529 + 0.0852496i
\(405\) 7001.83 + 12882.1i 0.859071 + 1.58054i
\(406\) −3646.23 + 4678.27i −0.445713 + 0.571869i
\(407\) −2415.90 2027.18i −0.294230 0.246889i
\(408\) −791.048 + 3830.99i −0.0959870 + 0.464859i
\(409\) −10.8822 61.7162i −0.00131563 0.00746130i 0.984143 0.177378i \(-0.0567614\pi\)
−0.985459 + 0.169916i \(0.945650\pi\)
\(410\) 2928.40 1834.65i 0.352740 0.220993i
\(411\) 3591.34 6791.85i 0.431016 0.815127i
\(412\) 686.318 + 9494.36i 0.0820691 + 1.13532i
\(413\) −14391.5 8308.93i −1.71467 0.989966i
\(414\) 7748.83 + 7397.19i 0.919889 + 0.878145i
\(415\) 6577.61 3797.59i 0.778029 0.449195i
\(416\) −2144.83 11759.8i −0.252786 1.38599i
\(417\) −4343.83 + 1766.62i −0.510116 + 0.207462i
\(418\) −1419.19 + 51.2277i −0.166064 + 0.00599433i
\(419\) −4621.58 + 3877.96i −0.538852 + 0.452150i −0.871145 0.491026i \(-0.836622\pi\)
0.332293 + 0.943176i \(0.392178\pi\)
\(420\) −2048.17 18653.9i −0.237954 2.16718i
\(421\) −5126.33 + 1865.83i −0.593449 + 0.215998i −0.621246 0.783616i \(-0.713373\pi\)
0.0277970 + 0.999614i \(0.491151\pi\)
\(422\) −625.108 + 4486.09i −0.0721085 + 0.517486i
\(423\) 1475.95 + 5806.16i 0.169653 + 0.667388i
\(424\) 956.554 + 1306.88i 0.109562 + 0.149688i
\(425\) 9158.32 + 1614.86i 1.04528 + 0.184311i
\(426\) 1425.24 + 1027.97i 0.162096 + 0.116913i
\(427\) 3434.96 9437.46i 0.389296 1.06958i
\(428\) 1975.00 884.889i 0.223049 0.0999363i
\(429\) −969.921 + 3008.56i −0.109157 + 0.338589i
\(430\) −20148.0 + 4307.31i −2.25958 + 0.483063i
\(431\) 14707.1 1.64366 0.821831 0.569732i \(-0.192953\pi\)
0.821831 + 0.569732i \(0.192953\pi\)
\(432\) −835.140 + 8940.03i −0.0930108 + 0.995665i
\(433\) −6100.42 −0.677061 −0.338530 0.940955i \(-0.609930\pi\)
−0.338530 + 0.940955i \(0.609930\pi\)
\(434\) 870.723 186.147i 0.0963043 0.0205883i
\(435\) −6549.98 7241.04i −0.721948 0.798117i
\(436\) −11052.6 + 4952.05i −1.21404 + 0.543946i
\(437\) −2614.90 + 7184.37i −0.286241 + 0.786442i
\(438\) −1677.36 + 16509.4i −0.182985 + 1.80103i
\(439\) −660.771 116.512i −0.0718380 0.0126670i 0.137614 0.990486i \(-0.456057\pi\)
−0.209452 + 0.977819i \(0.567168\pi\)
\(440\) 2476.20 + 3383.07i 0.268291 + 0.366549i
\(441\) 4329.85 322.729i 0.467536 0.0348482i
\(442\) −857.627 + 6154.76i −0.0922922 + 0.662335i
\(443\) 6643.90 2418.18i 0.712554 0.259348i 0.0397926 0.999208i \(-0.487330\pi\)
0.672761 + 0.739860i \(0.265108\pi\)
\(444\) −13027.2 5727.79i −1.39244 0.612228i
\(445\) −10777.7 + 9043.55i −1.14812 + 0.963383i
\(446\) 13921.7 502.524i 1.47805 0.0533524i
\(447\) −11133.1 8657.10i −1.17803 0.916033i
\(448\) 5323.64 10184.8i 0.561425 1.07407i
\(449\) 2284.68 1319.06i 0.240135 0.138642i −0.375104 0.926983i \(-0.622393\pi\)
0.615239 + 0.788341i \(0.289060\pi\)
\(450\) 21302.0 + 1366.34i 2.23152 + 0.143134i
\(451\) −484.637 279.805i −0.0506001 0.0292140i
\(452\) −571.772 7909.76i −0.0594998 0.823105i
\(453\) −4489.18 7147.67i −0.465607 0.741339i
\(454\) 2141.67 1341.76i 0.221396 0.138705i
\(455\) −5176.68 29358.4i −0.533377 3.02493i
\(456\) −6082.83 + 2015.61i −0.624681 + 0.206995i
\(457\) 3358.38 + 2818.01i 0.343760 + 0.288449i 0.798279 0.602288i \(-0.205744\pi\)
−0.454519 + 0.890737i \(0.650189\pi\)
\(458\) −1370.41 + 1758.29i −0.139814 + 0.179388i
\(459\) 1869.17 4277.15i 0.190077 0.434946i
\(460\) 21887.5 5511.80i 2.21850 0.558672i
\(461\) −4035.24 + 4809.01i −0.407678 + 0.485852i −0.930345 0.366685i \(-0.880493\pi\)
0.522667 + 0.852537i \(0.324937\pi\)
\(462\) −2513.52 + 1708.10i −0.253116 + 0.172009i
\(463\) −8451.29 + 1490.19i −0.848304 + 0.149579i −0.580869 0.813997i \(-0.697287\pi\)
−0.267435 + 0.963576i \(0.586176\pi\)
\(464\) −859.971 5917.23i −0.0860413 0.592027i
\(465\) 54.5114 + 1464.72i 0.00543636 + 0.146075i
\(466\) −3886.34 + 3507.55i −0.386333 + 0.348678i
\(467\) 7600.83 13165.0i 0.753158 1.30451i −0.193127 0.981174i \(-0.561863\pi\)
0.946285 0.323334i \(-0.104804\pi\)
\(468\) −398.951 + 14258.2i −0.0394049 + 1.40830i
\(469\) 5358.77 + 9281.65i 0.527601 + 0.913832i
\(470\) 12009.0 + 3886.37i 1.17858 + 0.381415i
\(471\) −2105.42 290.976i −0.205971 0.0284660i
\(472\) 16087.1 4674.28i 1.56879 0.455829i
\(473\) 2144.66 + 2555.91i 0.208481 + 0.248458i
\(474\) −740.679 + 2617.27i −0.0717733 + 0.253618i
\(475\) 5210.34 + 14315.3i 0.503298 + 1.38280i
\(476\) −4287.77 + 4160.15i −0.412877 + 0.400589i
\(477\) −794.109 1761.81i −0.0762259 0.169115i
\(478\) 2031.73 + 5011.77i 0.194413 + 0.479567i
\(479\) −1870.70 + 10609.3i −0.178444 + 1.01200i 0.755650 + 0.654976i \(0.227321\pi\)
−0.934093 + 0.357029i \(0.883790\pi\)
\(480\) 15002.1 + 11525.0i 1.42656 + 1.09592i
\(481\) −21243.4 7731.97i −2.01376 0.732947i
\(482\) −1589.30 842.653i −0.150188 0.0796303i
\(483\) 3438.30 + 15995.5i 0.323909 + 1.50688i
\(484\) −4349.10 + 8970.38i −0.408443 + 0.842447i
\(485\) 696.608i 0.0652193i
\(486\) 3181.80 10230.7i 0.296974 0.954886i
\(487\) 10716.3i 0.997130i 0.866852 + 0.498565i \(0.166139\pi\)
−0.866852 + 0.498565i \(0.833861\pi\)
\(488\) 4470.29 + 9084.10i 0.414673 + 0.842660i
\(489\) −1547.43 7198.90i −0.143103 0.665737i
\(490\) 4285.22 8082.20i 0.395074 0.745136i
\(491\) 10849.3 + 3948.84i 0.997197 + 0.362950i 0.788503 0.615031i \(-0.210857\pi\)
0.208694 + 0.977981i \(0.433079\pi\)
\(492\) −2452.97 599.516i −0.224773 0.0549355i
\(493\) −539.770 + 3061.19i −0.0493104 + 0.279653i
\(494\) −9434.02 + 3824.48i −0.859224 + 0.348323i
\(495\) −2055.68 4560.75i −0.186659 0.414122i
\(496\) −472.079 + 763.439i −0.0427358 + 0.0691118i
\(497\) 917.906 + 2521.93i 0.0828445 + 0.227613i
\(498\) −5340.33 1511.30i −0.480534 0.135990i
\(499\) −1631.63 1944.50i −0.146376 0.174444i 0.687875 0.725830i \(-0.258544\pi\)
−0.834251 + 0.551385i \(0.814099\pi\)
\(500\) 14565.8 20147.5i 1.30281 1.80204i
\(501\) 10517.6 + 1453.58i 0.937910 + 0.129623i
\(502\) 6879.50 21257.8i 0.611648 1.89001i
\(503\) −6711.54 11624.7i −0.594936 1.03046i −0.993556 0.113343i \(-0.963844\pi\)
0.398620 0.917116i \(1.63051\pi\)
\(504\) −8729.08 + 10575.9i −0.771477 + 0.934696i
\(505\) 3563.41 6172.01i 0.313999 0.543863i
\(506\) −2448.95 2713.43i −0.215157 0.238392i
\(507\) 418.142 + 11235.4i 0.0366279 + 0.984188i
\(508\) 15914.5 + 1634.90i 1.38994 + 0.142790i
\(509\) 18764.0 3308.59i 1.63399 0.288116i 0.720034 0.693939i \(-0.244126\pi\)
0.913952 + 0.405823i \(0.133015\pi\)
\(510\) −5527.64 8134.10i −0.479938 0.706243i
\(511\) −16290.5 + 19414.3i −1.41027 + 1.68070i
\(512\) 3696.27 + 10979.8i 0.319050 + 0.947738i
\(513\) 7598.83 851.549i 0.653990 0.0732881i
\(514\) −7484.80 5833.63i −0.642296 0.500604i
\(515\) −18332.8 15383.0i −1.56862 1.31623i
\(516\) 12520.5 + 8360.92i 1.06819 + 0.713312i
\(517\) −354.944 2012.99i −0.0301943 0.171240i
\(518\) −11538.8 18417.8i −0.978737 1.56222i
\(519\) −7173.41 11421.5i −0.606701 0.965990i
\(520\) 24973.8 + 16717.4i 2.10610 + 1.40982i
\(521\) 4444.68 + 2566.14i 0.373752 + 0.215786i 0.675096 0.737729i \(-0.264102\pi\)
−0.301344 + 0.953515i \(0.597435\pi\)
\(522\) −456.704 + 7120.24i −0.0382938 + 0.597020i
\(523\) 4315.37 2491.48i 0.360799 0.208307i −0.308632 0.951181i \(-0.599871\pi\)
0.669431 + 0.742874i \(0.266538\pi\)
\(524\) 4827.83 + 7121.43i 0.402490 + 0.593704i
\(525\) 25735.1 + 20011.6i 2.13938 + 1.66358i
\(526\) −189.457 5248.63i −0.0157047 0.435078i
\(527\) 357.455 299.940i 0.0295465 0.0247924i
\(528\) 510.886 3020.68i 0.0421088 0.248974i
\(529\) −7058.12 + 2568.95i −0.580104 + 0.211141i
\(530\) −4032.68 561.928i −0.330506 0.0460540i
\(531\) −19934.4 + 1485.83i −1.62915 + 0.121430i
\(532\) −9413.85 2675.47i −0.767185 0.218038i
\(533\) −3950.49 696.577i −0.321040 0.0566081i
\(534\) 10228.3 + 1039.20i 0.828877 + 0.0842143i
\(535\) −1860.89 + 5112.75i −0.150380 + 0.413165i
\(536\) −10492.5 2576.85i −0.845536 0.207655i
\(537\) −10.9513 12.1068i −0.000880047 0.000972896i
\(538\) −1626.14 7606.48i −0.130312 0.609552i
\(539\) −1481.43 −0.118385
\(540\) −14669.0 17157.8i −1.16899 1.36733i
\(541\) −12536.1 −0.996246 −0.498123 0.867106i \(-0.665977\pi\)
−0.498123 + 0.867106i \(0.665977\pi\)
\(542\) 675.250 + 3158.56i 0.0535138 + 0.250317i
\(543\) −4026.40 + 12489.3i −0.318212 + 0.987051i
\(544\) −35.3569 6022.53i −0.00278661 0.474657i
\(545\) 10414.0 28612.2i 0.818507 2.24883i
\(546\) −12743.2 + 17668.1i −0.998829 + 1.38484i
\(547\) 844.463 + 148.902i 0.0660085 + 0.0116391i 0.206555 0.978435i \(-0.433775\pi\)
−0.140546 + 0.990074i \(0.544886\pi\)
\(548\) −3233.69 + 11378.0i −0.252074 + 0.886942i
\(549\) −2976.36 11708.5i −0.231380 0.910216i
\(550\) −7213.39 1005.14i −0.559237 0.0779261i
\(551\) −4784.92 + 1741.57i −0.369953 + 0.134652i
\(552\) −14037.7 8658.65i −1.08240 0.667639i
\(553\) −3182.28 + 2670.25i −0.244709 + 0.205335i
\(554\) 719.014 + 19919.3i 0.0551408 + 1.52760i
\(555\) 33141.2 13478.4i 2.53471 1.03086i
\(556\) 5975.90 4051.24i 0.455817 0.309013i
\(557\) −16889.3 + 9751.04i −1.28478 + 0.741768i −0.977718 0.209922i \(-0.932679\pi\)
−0.307061 + 0.951690i \(0.599346\pi\)
\(558\) 739.573 774.730i 0.0561087 0.0587759i
\(559\) 20712.6 + 11958.4i 1.56718 + 0.904809i
\(560\) 9057.12 + 27435.8i 0.683452 + 2.07031i
\(561\) −744.461 + 1407.91i −0.0560271 + 0.105957i
\(562\) −5770.17 9210.12i −0.433096 0.691291i
\(563\) 3741.15 + 21217.1i 0.280054 + 1.58827i 0.722434 + 0.691440i \(0.243023\pi\)
−0.442380 + 0.896828i \(0.645866\pi\)
\(564\) −4081.73 8271.15i −0.304738 0.617515i
\(565\) 15273.0 + 12815.6i 1.13724 + 0.954259i
\(566\) 12506.7 + 9747.67i 0.928790 + 0.723896i
\(567\) 12801.2 10191.8i 0.948150 0.754880i
\(568\) −2475.46 1091.71i −0.182866 0.0806467i
\(569\) 2424.96 2889.96i 0.178664 0.212923i −0.669279 0.743011i \(-0.733397\pi\)
0.847942 + 0.530088i \(0.177841\pi\)
\(570\) 7012.07 14504.3i 0.515269 1.06582i
\(571\) 3239.31 571.178i 0.237410 0.0418618i −0.0536771 0.998558i \(-0.517094\pi\)
0.291087 + 0.956697i \(0.405983\pi\)
\(572\) 497.346 4841.27i 0.0363550 0.353887i
\(573\) 21006.3 + 11107.5i 1.53150 + 0.809816i
\(574\) −2583.88 2862.93i −0.187891 0.208182i
\(575\) −19604.9 + 33956.7i −1.42188 + 2.46277i
\(576\) −1604.79 13730.5i −0.116087 0.993239i
\(577\) −3326.06 5760.91i −0.239975 0.415650i 0.720732 0.693214i \(-0.243806\pi\)
−0.960707 + 0.277565i \(0.910473\pi\)
\(578\) 3314.60 10242.2i 0.238528 0.737057i
\(579\) −8278.13 20354.6i −0.594175 1.46098i
\(580\) 12182.3 + 8807.35i 0.872145 + 0.630527i
\(581\) −5448.43 6493.19i −0.389052 0.463654i
\(582\) 364.942 354.874i 0.0259920 0.0252749i
\(583\) 225.516 + 619.600i 0.0160204 + 0.0440158i
\(584\) −2760.05 25399.2i −0.195568 1.79970i
\(585\) −25028.5 25681.1i −1.76889 1.81501i
\(586\) 3073.34 1245.91i 0.216653 0.0878296i
\(587\) 2990.80 16961.7i 0.210296 1.19265i −0.678591 0.734517i \(-0.737409\pi\)
0.888886 0.458128i \(-0.151480\pi\)
\(588\) −6417.16 + 1872.36i −0.450067 + 0.131318i
\(589\) 718.296 + 261.438i 0.0502493 + 0.0182893i
\(590\) −19728.9 + 37210.0i −1.37665 + 2.59646i
\(591\) 12327.0 + 3974.08i 0.857981 + 0.276602i
\(592\) 21452.1 + 4454.59i 1.48932 + 0.309261i
\(593\) 5477.69i 0.379328i −0.981849 0.189664i \(-0.939260\pi\)
0.981849 0.189664i \(-0.0607399\pi\)
\(594\) −1342.08 + 3400.33i −0.0927037 + 0.234877i
\(595\) 15019.7i 1.03487i
\(596\) 19537.6 + 9472.41i 1.34277 + 0.651015i
\(597\) −16.9479 + 15.3305i −0.00116186 + 0.00105098i
\(598\) −23148.5 12273.4i −1.58297 0.839295i
\(599\) 12022.6 + 4375.86i 0.820083 + 0.298486i 0.717782 0.696268i \(-0.245157\pi\)
0.102301 + 0.994754i \(0.467380\pi\)
\(600\) −32517.0 + 4762.94i −2.21250 + 0.324077i
\(601\) 868.857 4927.53i 0.0589707 0.334440i −0.941022 0.338346i \(-0.890132\pi\)
0.999992 + 0.00390672i \(0.00124355\pi\)
\(602\) 8638.48 + 21308.9i 0.584848 + 1.44267i
\(603\) 11613.2 + 5598.36i 0.784287 + 0.378081i
\(604\) 9049.00 + 9326.58i 0.609600 + 0.628300i
\(605\) −8572.01 23551.4i −0.576036 1.58265i
\(606\) −5048.73 + 1277.40i −0.338433 + 0.0856282i
\(607\) 7591.63 + 9047.35i 0.507636 + 0.604977i 0.957611 0.288064i \(-0.0930117\pi\)
−0.449975 + 0.893041i \(0.648567\pi\)
\(608\) 8515.00 4983.02i 0.567975 0.332382i
\(609\) −6688.94 + 8602.02i −0.445073 + 0.572367i
\(610\) −24217.0 7837.14i −1.60740 0.520191i
\(611\) −7326.11 12689.2i −0.485078 0.840180i
\(612\) −1445.38 + 7039.61i −0.0954670 + 0.464966i
\(613\) 8639.83 14964.6i 0.569265 0.985996i −0.427374 0.904075i \(-0.640561\pi\)
0.996639 0.0819212i \(-0.0261056\pi\)
\(614\) 16764.5 15130.5i 1.10189 0.994492i
\(615\) 5376.05 3376.49i 0.352493 0.221387i
\(616\) 3238.30 3377.09i 0.211810 0.220887i
\(617\) 11784.7 2077.96i 0.768936 0.135584i 0.224599 0.974451i \(-0.427893\pi\)
0.544336 + 0.838867i \(0.316782\pi\)
\(618\) 1280.35 + 17440.8i 0.0833389 + 1.13523i
\(619\) 8980.69 10702.8i 0.583141 0.694961i −0.391131 0.920335i \(-0.627916\pi\)
0.974272 + 0.225374i \(0.0723604\pi\)
\(620\) −551.072 2188.32i −0.0356961 0.141750i
\(621\) 14250.7 + 13573.6i 0.920871 + 0.877115i
\(622\) −15400.9 + 19760.0i −0.992797 + 1.27380i
\(623\) 12028.0 + 10092.7i 0.773500 + 0.649043i
\(624\) −3964.47 21599.7i −0.254336 1.38571i
\(625\) 4786.38 + 27144.9i 0.306328 + 1.73727i
\(626\) −5111.61 + 3202.44i −0.326359 + 0.204465i
\(627\) −2607.12 + 97.0273i −0.166058 + 0.00618006i
\(628\) 3263.79 235.930i 0.207388 0.0149914i
\(629\) −9863.92 5694.94i −0.625278 0.361005i
\(630\) −3801.06 34265.2i −0.240378 2.16692i
\(631\) 1463.17 844.764i 0.0923107 0.0532956i −0.453134 0.891442i \(-0.649694\pi\)
0.545445 + 0.838147i \(0.316361\pi\)
\(632\) 277.409 4178.60i 0.0174600 0.262999i
\(633\) −1139.18 + 8242.75i −0.0715297 + 0.517567i
\(634\) 4604.54 166.207i 0.288438 0.0104116i
\(635\) −30810.8 + 25853.3i −1.92549 + 1.61568i
\(636\) 1759.99 + 2398.92i 0.109730 + 0.149565i
\(637\) −9978.82 + 3631.99i −0.620683 + 0.225910i
\(638\) 335.971 2411.09i 0.0208483 0.149618i
\(639\) 2620.44 + 1885.57i 0.162227 + 0.116732i
\(640\) −26282.4 12552.4i −1.62328 0.775279i
\(641\) 8587.43 + 1514.19i 0.529147 + 0.0933028i 0.431838 0.901951i \(-0.357865\pi\)
0.0973090 + 0.995254i \(0.468976\pi\)
\(642\) 3626.48 1629.70i 0.222938 0.100186i
\(643\) 6381.45 17532.9i 0.391384 1.07532i −0.574986 0.818163i \(-0.694993\pi\)
0.966370 0.257155i \(-0.0827852\pi\)
\(644\) −10299.4 22987.4i −0.630206 1.40657i
\(645\) −37005.3 + 7954.43i −2.25904 + 0.485590i
\(646\) −5015.49 + 1072.23i −0.305467 + 0.0653040i
\(647\) 16666.6 1.01272 0.506361 0.862322i \(-0.330990\pi\)
0.506361 + 0.862322i \(0.330990\pi\)
\(648\) −1515.88 + 16425.6i −0.0918972 + 0.995769i
\(649\) 6820.40 0.412518
\(650\) −51053.4 + 10914.4i −3.08074 + 0.658612i
\(651\) 1599.24 343.762i 0.0962812 0.0206960i
\(652\) 4635.32 + 10345.6i 0.278425 + 0.621421i
\(653\) −7683.32 + 21109.8i −0.460447 + 1.26507i 0.464704 + 0.885466i \(0.346161\pi\)
−0.925151 + 0.379600i \(0.876061\pi\)
\(654\) −20294.7 + 9120.21i −1.21343 + 0.545303i
\(655\) −21301.5 3756.03i −1.27072 0.224062i
\(656\) 3885.97 + 117.431i 0.231283 + 0.00698920i
\(657\) −3047.59 + 30333.1i −0.180971 + 1.80123i
\(658\) 1944.07 13951.6i 0.115179 0.826582i
\(659\) −18235.7 + 6637.24i −1.07794 + 0.392337i −0.819139 0.573594i \(-0.805549\pi\)
−0.258798 + 0.965932i \(0.583326\pi\)
\(660\) 4556.02 + 6210.01i 0.268701 + 0.366249i
\(661\) 21586.6 18113.3i 1.27023 1.06585i 0.275719 0.961238i \(-0.411084\pi\)
0.994513 0.104613i \(-0.0333602\pi\)
\(662\) −12408.5 + 447.902i −0.728504 + 0.0262964i
\(663\) −1562.91 + 11308.8i −0.0915514 + 0.662438i
\(664\) 8526.11 + 566.032i 0.498309 + 0.0330818i
\(665\) 21308.0 12302.2i 1.24254 0.717379i
\(666\) −23944.3 10495.9i −1.39313 0.610670i
\(667\) −11350.1 6552.98i −0.658887 0.380408i
\(668\) −16304.3 + 1178.59i −0.944361 + 0.0682650i
\(669\) 25574.8 951.799i 1.47799 0.0550055i
\(670\) 23018.4 14421.1i 1.32728 0.831545i
\(671\) 715.771 + 4059.34i 0.0411804 + 0.233545i
\(672\) 9759.23 18721.5i 0.560224 1.07470i
\(673\) 1278.92 + 1073.15i 0.0732525 + 0.0614661i 0.678679 0.734435i \(-0.262553\pi\)
−0.605426 + 0.795901i \(0.706997\pi\)
\(674\) 5980.63 7673.41i 0.341788 0.438529i
\(675\) 39137.0 + 2466.36i 2.23168 + 0.140638i
\(676\) −4227.11 16786.0i −0.240505 0.955053i
\(677\) −864.011 + 1029.69i −0.0490497 + 0.0584551i −0.790011 0.613092i \(-0.789925\pi\)
0.740962 + 0.671547i \(0.234370\pi\)
\(678\) −1066.66 14530.0i −0.0604204 0.823038i
\(679\) 765.608 134.997i 0.0432715 0.00762993i
\(680\) 10928.7 + 10479.6i 0.616319 + 0.590991i
\(681\) 3931.74 2469.38i 0.221240 0.138953i
\(682\) −271.289 + 244.847i −0.0152320 + 0.0137473i
\(683\) 5035.93 8722.48i 0.282129 0.488662i −0.689780 0.724019i \(-0.742293\pi\)
0.971909 + 0.235357i \(0.0756259\pi\)
\(684\) −11170.7 + 3715.41i −0.624449 + 0.207693i
\(685\) −14868.9 25753.7i −0.829361 1.43650i
\(686\) 11004.6 + 3561.34i 0.612476 + 0.198211i
\(687\) −2513.98 + 3233.00i −0.139613 + 0.179544i
\(688\) −21532.2 8582.15i −1.19318 0.475569i
\(689\) 3038.13 + 3620.70i 0.167988 + 0.200200i
\(690\) 40198.6 10170.8i 2.21788 0.561153i
\(691\) 7855.78 + 21583.6i 0.432486 + 1.18825i 0.944282 + 0.329139i \(0.106758\pi\)
−0.511795 + 0.859107i \(0.671019\pi\)
\(692\) 14459.7 + 14903.3i 0.794329 + 0.818696i
\(693\) −4614.12 + 3143.14i −0.252924 + 0.172292i
\(694\) −1777.06 4383.55i −0.0971992 0.239766i
\(695\) −3151.85 + 17875.0i −0.172024 + 0.975594i
\(696\) −1592.02 10868.9i −0.0867034 0.591930i
\(697\) −1899.18 691.243i −0.103209 0.0375649i
\(698\) −16768.4 8890.67i −0.909302 0.482116i
\(699\) −7132.45 + 6451.75i −0.385943 + 0.349110i
\(700\) −45163.0 21896.3i −2.43857 1.18229i
\(701\) 23299.6i 1.25537i −0.778467 0.627685i \(-0.784002\pi\)
0.778467 0.627685i \(-0.215998\pi\)
\(702\) −703.623 + 26194.8i −0.0378298 + 1.40835i
\(703\) 18658.2i 1.00100i
\(704\) 197.814 + 4712.54i 0.0105900 + 0.252288i
\(705\) 22069.9 + 7115.04i 1.17901 + 0.380096i
\(706\) −9660.83 + 18221.0i −0.515000 + 0.971325i
\(707\) −7473.92 2720.28i −0.397575 0.144706i
\(708\) 29544.2 8620.25i 1.56828 0.457583i
\(709\) 3691.33 20934.6i 0.195530 1.10891i −0.716131 0.697965i \(-0.754089\pi\)
0.911662 0.410942i \(-0.134800\pi\)
\(710\) 6303.54 2555.41i 0.333194 0.135074i
\(711\) −1355.34 + 4809.74i −0.0714896 + 0.253698i
\(712\) −15735.9 + 1709.97i −0.828268 + 0.0900053i
\(713\) 672.898 + 1848.77i 0.0353440 + 0.0971067i
\(714\) −7868.58 + 7651.49i −0.412429 + 0.401050i
\(715\) 7864.71 + 9372.80i 0.411361 + 0.490242i
\(716\) 20.3685 + 14.7256i 0.00106314 + 0.000768605i
\(717\) 3742.83 + 9203.03i 0.194949 + 0.479349i
\(718\) 8383.71 25905.9i 0.435762 1.34652i
\(719\) −3206.84 5554.42i −0.166335 0.288101i 0.770793 0.637085i \(-0.219860\pi\)
−0.937129 + 0.348984i \(0.886527\pi\)
\(720\) 27584.3 + 21141.9i 1.42779 + 1.09432i
\(721\) −13354.0 + 23129.8i −0.689775 + 1.19473i
\(722\) 7369.01 + 8164.81i 0.379842 + 0.420863i
\(723\) −2921.46 1544.79i −0.150277 0.0794623i
\(724\) 2064.61 20097.4i 0.105982 1.03165i
\(725\) −25717.7 + 4534.72i −1.31742 + 0.232297i
\(726\) −7971.37 + 16488.6i −0.407500 + 0.842904i
\(727\) 19629.2 23393.1i 1.00138 1.19340i 0.0203036 0.999794i \(-0.493537\pi\)
0.981079 0.193608i \(-0.0620188\pi\)
\(728\) 13533.5 30687.2i 0.688990 1.56228i
\(729\) 5824.32 18801.5i 0.295906 0.955217i
\(730\) 50661.2 + 39485.2i 2.56857 + 2.00193i
\(731\) 9230.79 + 7745.55i 0.467049 + 0.391901i
\(732\) 8231.11 + 16679.4i 0.415615 + 0.842195i
\(733\) −1541.74 8743.67i −0.0776885 0.440593i −0.998696 0.0510488i \(-0.983744\pi\)
0.921008 0.389544i \(-0.127368\pi\)
\(734\) 13376.0 + 21350.3i 0.672639 + 1.07364i
\(735\) 7855.84 14856.7i 0.394241 0.745577i
\(736\) 23912.3 + 8544.73i 1.19758 + 0.427939i
\(737\) −3809.43 2199.37i −0.190396 0.109925i
\(738\) −4507.62 1096.34i −0.224834 0.0546840i
\(739\) −15861.5 + 9157.65i −0.789547 + 0.455845i −0.839803 0.542891i \(-0.817330\pi\)
0.0502560 + 0.998736i \(0.483996\pi\)
\(740\) −45593.1 + 30908.9i −2.26491 + 1.53545i
\(741\) −17323.5 + 7045.40i −0.858834 + 0.349284i
\(742\) 163.914 + 4541.02i 0.00810982 + 0.224671i
\(743\) 686.598 576.124i 0.0339015 0.0284468i −0.625679 0.780080i \(-0.715178\pi\)
0.659581 + 0.751634i \(0.270734\pi\)
\(744\) −865.695 + 1403.50i −0.0426585 + 0.0691595i
\(745\) −51295.4 + 18670.0i −2.52257 + 0.918142i
\(746\) 3843.92 + 535.626i 0.188654 + 0.0262878i
\(747\) −9813.92 2765.46i −0.480686 0.135452i
\(748\) 670.323 2358.58i 0.0327666 0.115292i
\(749\) 5979.80 + 1054.40i 0.291719 + 0.0514379i
\(750\) 26717.7 37043.1i 1.30079 1.80350i
\(751\) −8072.18 + 22178.1i −0.392221 + 1.07762i 0.573764 + 0.819021i \(0.305483\pi\)
−0.965985 + 0.258598i \(0.916740\pi\)
\(752\) 8795.14 + 11148.9i 0.426497 + 0.540638i
\(753\) 12594.8 39067.2i 0.609533 1.89069i
\(754\) −3648.16 17064.7i −0.176205 0.824218i