Properties

Label 27.4.e.a.13.3
Level 27
Weight 4
Character 27.13
Analytic conductor 1.593
Analytic rank 0
Dimension 48
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 27 = 3^{3} \)
Weight: \( k \) = \( 4 \)
Character orbit: \([\chi]\) = 27.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.59305157016\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{9})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) = 27.13
Dual form 27.4.e.a.25.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.404735 - 2.29536i) q^{2} +(4.52897 + 2.54724i) q^{3} +(2.41266 - 0.878135i) q^{4} +(-4.78113 - 4.01185i) q^{5} +(4.01380 - 11.4266i) q^{6} +(2.53990 + 0.924448i) q^{7} +(-12.3152 - 21.3306i) q^{8} +(14.0232 + 23.0727i) q^{9} +O(q^{10})\) \(q+(-0.404735 - 2.29536i) q^{2} +(4.52897 + 2.54724i) q^{3} +(2.41266 - 0.878135i) q^{4} +(-4.78113 - 4.01185i) q^{5} +(4.01380 - 11.4266i) q^{6} +(2.53990 + 0.924448i) q^{7} +(-12.3152 - 21.3306i) q^{8} +(14.0232 + 23.0727i) q^{9} +(-7.27356 + 12.5982i) q^{10} +(-30.2808 + 25.4086i) q^{11} +(13.1637 + 2.16856i) q^{12} +(-12.8853 + 73.0761i) q^{13} +(1.09396 - 6.20415i) q^{14} +(-11.4345 - 30.3482i) q^{15} +(-28.2425 + 23.6983i) q^{16} +(29.1160 - 50.4303i) q^{17} +(47.2846 - 41.5266i) q^{18} +(-41.2204 - 71.3959i) q^{19} +(-15.0582 - 5.48072i) q^{20} +(9.14835 + 10.6565i) q^{21} +(70.5777 + 59.2217i) q^{22} +(-25.8401 + 9.40502i) q^{23} +(-1.44124 - 127.975i) q^{24} +(-14.9417 - 84.7386i) q^{25} +172.951 q^{26} +(4.73890 + 140.216i) q^{27} +6.93969 q^{28} +(30.1245 + 170.844i) q^{29} +(-65.0323 + 38.5293i) q^{30} +(149.460 - 54.3991i) q^{31} +(-85.1171 - 71.4217i) q^{32} +(-201.863 + 37.9425i) q^{33} +(-127.540 - 46.4208i) q^{34} +(-8.43485 - 14.6096i) q^{35} +(54.0941 + 43.3523i) q^{36} +(220.701 - 382.265i) q^{37} +(-147.196 + 123.512i) q^{38} +(-244.499 + 298.138i) q^{39} +(-26.6943 + 151.391i) q^{40} +(14.7471 - 83.6352i) q^{41} +(20.7579 - 25.3118i) q^{42} +(-150.412 + 126.210i) q^{43} +(-50.7449 + 87.8928i) q^{44} +(25.5176 - 166.573i) q^{45} +(32.0463 + 55.5058i) q^{46} +(402.616 + 146.540i) q^{47} +(-188.275 + 35.3885i) q^{48} +(-257.157 - 215.780i) q^{49} +(-188.459 + 68.5933i) q^{50} +(260.323 - 154.232i) q^{51} +(33.0829 + 187.623i) q^{52} +448.275 q^{53} +(319.929 - 67.6278i) q^{54} +246.712 q^{55} +(-11.5604 - 65.5623i) q^{56} +(-4.82401 - 428.348i) q^{57} +(379.958 - 138.293i) q^{58} +(-269.039 - 225.751i) q^{59} +(-54.2373 - 63.1788i) q^{60} +(-346.588 - 126.148i) q^{61} +(-185.357 - 321.048i) q^{62} +(14.2879 + 71.5661i) q^{63} +(-276.961 + 479.711i) q^{64} +(354.777 - 297.693i) q^{65} +(168.793 + 447.991i) q^{66} +(-104.831 + 594.527i) q^{67} +(25.9622 - 147.239i) q^{68} +(-140.986 - 23.2257i) q^{69} +(-30.1205 + 25.2741i) q^{70} +(-423.268 + 733.122i) q^{71} +(319.456 - 583.268i) q^{72} +(21.1923 + 36.7062i) q^{73} +(-966.762 - 351.873i) q^{74} +(148.179 - 421.839i) q^{75} +(-162.146 - 136.057i) q^{76} +(-100.399 + 36.5423i) q^{77} +(783.292 + 440.548i) q^{78} +(63.6782 + 361.137i) q^{79} +230.105 q^{80} +(-335.701 + 647.106i) q^{81} -197.942 q^{82} +(-10.0517 - 57.0062i) q^{83} +(31.4297 + 17.6770i) q^{84} +(-341.526 + 124.305i) q^{85} +(350.575 + 294.168i) q^{86} +(-298.748 + 850.483i) q^{87} +(914.895 + 332.995i) q^{88} +(-713.269 - 1235.42i) q^{89} +(-392.672 + 8.84559i) q^{90} +(-100.282 + 173.694i) q^{91} +(-54.0843 + 45.3821i) q^{92} +(815.469 + 134.339i) q^{93} +(173.411 - 983.460i) q^{94} +(-89.3490 + 506.723i) q^{95} +(-203.565 - 540.280i) q^{96} +(875.961 - 735.019i) q^{97} +(-391.214 + 677.602i) q^{98} +(-1010.88 - 342.351i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 6q^{3} - 6q^{4} + 6q^{5} - 18q^{6} - 6q^{7} - 75q^{8} - 54q^{9} - 3q^{10} + 57q^{11} + 147q^{12} - 6q^{13} + 51q^{14} - 36q^{15} + 18q^{16} - 207q^{17} - 639q^{18} - 3q^{19} - 597q^{20} - 138q^{21} - 60q^{22} + 402q^{23} + 1170q^{24} - 222q^{25} + 1914q^{26} + 1125q^{27} - 12q^{28} + 480q^{29} + 459q^{30} - 60q^{31} - 648q^{32} - 639q^{33} + 288q^{34} - 1257q^{35} - 2088q^{36} - 3q^{37} - 1524q^{38} - 768q^{39} + 561q^{40} - 1731q^{41} - 3078q^{42} + 507q^{43} - 2211q^{44} - 360q^{45} - 3q^{46} + 984q^{47} + 2289q^{48} - 600q^{49} + 4359q^{50} + 2655q^{51} - 1431q^{52} + 2736q^{53} + 5454q^{54} - 12q^{55} + 5907q^{56} + 3426q^{57} - 897q^{58} + 2238q^{59} + 1314q^{60} + 48q^{61} - 2118q^{62} - 2610q^{63} - 195q^{64} - 6990q^{65} - 11115q^{66} - 681q^{67} - 11169q^{68} - 6138q^{69} - 33q^{70} - 3105q^{71} - 36q^{72} - 219q^{73} + 3543q^{74} + 2604q^{75} + 3426q^{76} + 4722q^{77} + 6066q^{78} + 2802q^{79} + 9870q^{80} + 3438q^{81} - 12q^{82} + 3468q^{83} + 7674q^{84} + 2529q^{85} + 3624q^{86} + 2880q^{87} + 2850q^{88} - 5202q^{89} - 12510q^{90} + 267q^{91} - 18453q^{92} - 11802q^{93} - 1653q^{94} - 10113q^{95} - 14094q^{96} - 3381q^{97} - 4392q^{98} - 1242q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{4}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.404735 2.29536i −0.143095 0.811534i −0.968877 0.247544i \(-0.920377\pi\)
0.825781 0.563990i \(-0.190734\pi\)
\(3\) 4.52897 + 2.54724i 0.871601 + 0.490216i
\(4\) 2.41266 0.878135i 0.301582 0.109767i
\(5\) −4.78113 4.01185i −0.427637 0.358830i 0.403422 0.915014i \(-0.367821\pi\)
−0.831059 + 0.556184i \(0.812265\pi\)
\(6\) 4.01380 11.4266i 0.273105 0.777481i
\(7\) 2.53990 + 0.924448i 0.137142 + 0.0499155i 0.409679 0.912230i \(-0.365641\pi\)
−0.272537 + 0.962145i \(0.587863\pi\)
\(8\) −12.3152 21.3306i −0.544261 0.942688i
\(9\) 14.0232 + 23.0727i 0.519377 + 0.854545i
\(10\) −7.27356 + 12.5982i −0.230010 + 0.398389i
\(11\) −30.2808 + 25.4086i −0.830000 + 0.696453i −0.955291 0.295667i \(-0.904458\pi\)
0.125291 + 0.992120i \(0.460014\pi\)
\(12\) 13.1637 + 2.16856i 0.316669 + 0.0521673i
\(13\) −12.8853 + 73.0761i −0.274903 + 1.55905i 0.464367 + 0.885643i \(0.346282\pi\)
−0.739270 + 0.673409i \(0.764829\pi\)
\(14\) 1.09396 6.20415i 0.0208838 0.118438i
\(15\) −11.4345 30.3482i −0.196825 0.522392i
\(16\) −28.2425 + 23.6983i −0.441290 + 0.370286i
\(17\) 29.1160 50.4303i 0.415392 0.719479i −0.580078 0.814561i \(-0.696978\pi\)
0.995469 + 0.0950816i \(0.0303112\pi\)
\(18\) 47.2846 41.5266i 0.619172 0.543773i
\(19\) −41.2204 71.3959i −0.497717 0.862070i 0.502280 0.864705i \(-0.332495\pi\)
−0.999997 + 0.00263470i \(0.999161\pi\)
\(20\) −15.0582 5.48072i −0.168355 0.0612764i
\(21\) 9.14835 + 10.6565i 0.0950635 + 0.110735i
\(22\) 70.5777 + 59.2217i 0.683964 + 0.573914i
\(23\) −25.8401 + 9.40502i −0.234262 + 0.0852644i −0.456484 0.889732i \(-0.650891\pi\)
0.222222 + 0.974996i \(0.428669\pi\)
\(24\) −1.44124 127.975i −0.0122580 1.08845i
\(25\) −14.9417 84.7386i −0.119534 0.677909i
\(26\) 172.951 1.30456
\(27\) 4.73890 + 140.216i 0.0337778 + 0.999429i
\(28\) 6.93969 0.0468385
\(29\) 30.1245 + 170.844i 0.192896 + 1.09397i 0.915384 + 0.402582i \(0.131887\pi\)
−0.722488 + 0.691383i \(0.757002\pi\)
\(30\) −65.0323 + 38.5293i −0.395774 + 0.234482i
\(31\) 149.460 54.3991i 0.865931 0.315173i 0.129413 0.991591i \(-0.458691\pi\)
0.736518 + 0.676418i \(0.236469\pi\)
\(32\) −85.1171 71.4217i −0.470210 0.394553i
\(33\) −201.863 + 37.9425i −1.06484 + 0.200150i
\(34\) −127.540 46.4208i −0.643322 0.234150i
\(35\) −8.43485 14.6096i −0.0407357 0.0705563i
\(36\) 54.0941 + 43.3523i 0.250435 + 0.200705i
\(37\) 220.701 382.265i 0.980621 1.69849i 0.320644 0.947200i \(-0.396101\pi\)
0.659977 0.751286i \(-0.270566\pi\)
\(38\) −147.196 + 123.512i −0.628378 + 0.527272i
\(39\) −244.499 + 298.138i −1.00388 + 1.22411i
\(40\) −26.6943 + 151.391i −0.105519 + 0.598426i
\(41\) 14.7471 83.6352i 0.0561736 0.318576i −0.943754 0.330650i \(-0.892732\pi\)
0.999927 + 0.0120735i \(0.00384321\pi\)
\(42\) 20.7579 25.3118i 0.0762624 0.0929929i
\(43\) −150.412 + 126.210i −0.533431 + 0.447602i −0.869284 0.494312i \(-0.835420\pi\)
0.335853 + 0.941914i \(0.390975\pi\)
\(44\) −50.7449 + 87.8928i −0.173866 + 0.301144i
\(45\) 25.5176 166.573i 0.0845319 0.551804i
\(46\) 32.0463 + 55.5058i 0.102717 + 0.177911i
\(47\) 402.616 + 146.540i 1.24952 + 0.454789i 0.880240 0.474528i \(-0.157381\pi\)
0.369283 + 0.929317i \(0.379603\pi\)
\(48\) −188.275 + 35.3885i −0.566149 + 0.106414i
\(49\) −257.157 215.780i −0.749728 0.629097i
\(50\) −188.459 + 68.5933i −0.533041 + 0.194011i
\(51\) 260.323 154.232i 0.714756 0.423468i
\(52\) 33.0829 + 187.623i 0.0882265 + 0.500357i
\(53\) 448.275 1.16180 0.580899 0.813976i \(-0.302701\pi\)
0.580899 + 0.813976i \(0.302701\pi\)
\(54\) 319.929 67.6278i 0.806237 0.170425i
\(55\) 246.712 0.604848
\(56\) −11.5604 65.5623i −0.0275861 0.156449i
\(57\) −4.82401 428.348i −0.0112097 0.995370i
\(58\) 379.958 138.293i 0.860187 0.313083i
\(59\) −269.039 225.751i −0.593660 0.498140i 0.295741 0.955268i \(-0.404434\pi\)
−0.889401 + 0.457128i \(0.848878\pi\)
\(60\) −54.2373 63.1788i −0.116700 0.135939i
\(61\) −346.588 126.148i −0.727475 0.264779i −0.0483796 0.998829i \(-0.515406\pi\)
−0.679096 + 0.734050i \(0.737628\pi\)
\(62\) −185.357 321.048i −0.379684 0.657632i
\(63\) 14.2879 + 71.5661i 0.0285732 + 0.143119i
\(64\) −276.961 + 479.711i −0.540940 + 0.936935i
\(65\) 354.777 297.693i 0.676994 0.568065i
\(66\) 168.793 + 447.991i 0.314802 + 0.835514i
\(67\) −104.831 + 594.527i −0.191152 + 1.08408i 0.726641 + 0.687017i \(0.241080\pi\)
−0.917793 + 0.397059i \(0.870031\pi\)
\(68\) 25.9622 147.239i 0.0462996 0.262578i
\(69\) −140.986 23.2257i −0.245981 0.0405224i
\(70\) −30.1205 + 25.2741i −0.0514297 + 0.0431547i
\(71\) −423.268 + 733.122i −0.707502 + 1.22543i 0.258279 + 0.966070i \(0.416845\pi\)
−0.965781 + 0.259359i \(0.916489\pi\)
\(72\) 319.456 583.268i 0.522893 0.954706i
\(73\) 21.1923 + 36.7062i 0.0339777 + 0.0588512i 0.882514 0.470286i \(-0.155849\pi\)
−0.848536 + 0.529137i \(0.822516\pi\)
\(74\) −966.762 351.873i −1.51870 0.552762i
\(75\) 148.179 421.839i 0.228136 0.649464i
\(76\) −162.146 136.057i −0.244729 0.205352i
\(77\) −100.399 + 36.5423i −0.148591 + 0.0540828i
\(78\) 783.292 + 440.548i 1.13706 + 0.639516i
\(79\) 63.6782 + 361.137i 0.0906881 + 0.514318i 0.995984 + 0.0895356i \(0.0285383\pi\)
−0.905295 + 0.424782i \(0.860351\pi\)
\(80\) 230.105 0.321582
\(81\) −335.701 + 647.106i −0.460495 + 0.887662i
\(82\) −197.942 −0.266574
\(83\) −10.0517 57.0062i −0.0132930 0.0753884i 0.977440 0.211215i \(-0.0677421\pi\)
−0.990733 + 0.135827i \(0.956631\pi\)
\(84\) 31.4297 + 17.6770i 0.0408245 + 0.0229610i
\(85\) −341.526 + 124.305i −0.435808 + 0.158621i
\(86\) 350.575 + 294.168i 0.439576 + 0.368848i
\(87\) −298.748 + 850.483i −0.368151 + 1.04806i
\(88\) 914.895 + 332.995i 1.10827 + 0.403379i
\(89\) −713.269 1235.42i −0.849509 1.47139i −0.881647 0.471910i \(-0.843565\pi\)
0.0321377 0.999483i \(-0.489768\pi\)
\(90\) −392.672 + 8.84559i −0.459903 + 0.0103601i
\(91\) −100.282 + 173.694i −0.115521 + 0.200089i
\(92\) −54.0843 + 45.3821i −0.0612900 + 0.0514284i
\(93\) 815.469 + 134.339i 0.909249 + 0.149788i
\(94\) 173.411 983.460i 0.190276 1.07911i
\(95\) −89.3490 + 506.723i −0.0964948 + 0.547249i
\(96\) −203.565 540.280i −0.216419 0.574397i
\(97\) 875.961 735.019i 0.916911 0.769380i −0.0565098 0.998402i \(-0.517997\pi\)
0.973421 + 0.229022i \(0.0735528\pi\)
\(98\) −391.214 + 677.602i −0.403251 + 0.698450i
\(99\) −1010.88 342.351i −1.02623 0.347551i
\(100\) −110.461 191.324i −0.110461 0.191324i
\(101\) 423.836 + 154.264i 0.417557 + 0.151978i 0.542250 0.840217i \(-0.317573\pi\)
−0.124693 + 0.992195i \(0.539795\pi\)
\(102\) −459.381 535.114i −0.445936 0.519452i
\(103\) −12.2315 10.2635i −0.0117011 0.00981835i 0.636918 0.770931i \(-0.280209\pi\)
−0.648619 + 0.761113i \(0.724653\pi\)
\(104\) 1717.44 625.098i 1.61932 0.589383i
\(105\) −0.987127 87.6520i −0.000917464 0.0814663i
\(106\) −181.432 1028.95i −0.166248 0.942838i
\(107\) 190.566 0.172175 0.0860876 0.996288i \(-0.472564\pi\)
0.0860876 + 0.996288i \(0.472564\pi\)
\(108\) 134.562 + 334.132i 0.119891 + 0.297702i
\(109\) −505.344 −0.444066 −0.222033 0.975039i \(-0.571269\pi\)
−0.222033 + 0.975039i \(0.571269\pi\)
\(110\) −99.8528 566.294i −0.0865509 0.490854i
\(111\) 1973.27 1169.09i 1.68733 0.999686i
\(112\) −93.6410 + 34.0826i −0.0790022 + 0.0287544i
\(113\) 1505.37 + 1263.16i 1.25322 + 1.05158i 0.996370 + 0.0851232i \(0.0271284\pi\)
0.256848 + 0.966452i \(0.417316\pi\)
\(114\) −981.262 + 184.440i −0.806172 + 0.151530i
\(115\) 161.276 + 58.6998i 0.130775 + 0.0475981i
\(116\) 222.704 + 385.735i 0.178255 + 0.308747i
\(117\) −1866.76 + 727.461i −1.47506 + 0.574818i
\(118\) −409.291 + 708.912i −0.319307 + 0.553056i
\(119\) 120.572 101.172i 0.0928807 0.0779361i
\(120\) −506.527 + 617.649i −0.385328 + 0.469862i
\(121\) 40.2037 228.006i 0.0302056 0.171304i
\(122\) −149.279 + 846.601i −0.110779 + 0.628259i
\(123\) 279.828 341.217i 0.205132 0.250134i
\(124\) 312.826 262.492i 0.226554 0.190101i
\(125\) −658.603 + 1140.73i −0.471258 + 0.816243i
\(126\) 158.487 61.7613i 0.112057 0.0436677i
\(127\) 478.674 + 829.089i 0.334453 + 0.579289i 0.983380 0.181562i \(-0.0581152\pi\)
−0.648927 + 0.760851i \(0.724782\pi\)
\(128\) 377.914 + 137.549i 0.260962 + 0.0949825i
\(129\) −1002.70 + 188.469i −0.684361 + 0.128634i
\(130\) −826.904 693.855i −0.557879 0.468116i
\(131\) −1383.34 + 503.493i −0.922616 + 0.335805i −0.759279 0.650766i \(-0.774448\pi\)
−0.163337 + 0.986570i \(0.552226\pi\)
\(132\) −453.706 + 268.805i −0.299167 + 0.177246i
\(133\) −38.6940 219.444i −0.0252270 0.143070i
\(134\) 1407.09 0.907117
\(135\) 539.868 689.403i 0.344181 0.439514i
\(136\) −1434.28 −0.904326
\(137\) −105.061 595.832i −0.0655181 0.371572i −0.999884 0.0152557i \(-0.995144\pi\)
0.934366 0.356316i \(-0.115967\pi\)
\(138\) 3.75037 + 333.014i 0.00231342 + 0.205420i
\(139\) −896.762 + 326.395i −0.547211 + 0.199169i −0.600807 0.799394i \(-0.705154\pi\)
0.0535958 + 0.998563i \(0.482932\pi\)
\(140\) −33.1796 27.8410i −0.0200299 0.0168071i
\(141\) 1450.16 + 1689.23i 0.866141 + 1.00893i
\(142\) 1854.09 + 674.834i 1.09572 + 0.398809i
\(143\) −1466.59 2540.20i −0.857637 1.48547i
\(144\) −942.834 319.307i −0.545622 0.184784i
\(145\) 541.372 937.684i 0.310059 0.537037i
\(146\) 75.6768 63.5004i 0.0428977 0.0359954i
\(147\) −615.013 1632.30i −0.345071 0.915850i
\(148\) 196.795 1116.08i 0.109300 0.619872i
\(149\) 158.401 898.335i 0.0870919 0.493923i −0.909794 0.415061i \(-0.863760\pi\)
0.996886 0.0788619i \(-0.0251286\pi\)
\(150\) −1028.25 169.391i −0.559707 0.0922050i
\(151\) −309.263 + 259.503i −0.166672 + 0.139855i −0.722309 0.691571i \(-0.756919\pi\)
0.555637 + 0.831425i \(0.312475\pi\)
\(152\) −1015.28 + 1758.51i −0.541775 + 0.938382i
\(153\) 1571.86 35.4088i 0.830573 0.0187100i
\(154\) 124.513 + 215.663i 0.0651528 + 0.112848i
\(155\) −932.830 339.522i −0.483398 0.175942i
\(156\) −328.087 + 934.007i −0.168385 + 0.479362i
\(157\) 1879.49 + 1577.08i 0.955412 + 0.801685i 0.980201 0.198007i \(-0.0634470\pi\)
−0.0247890 + 0.999693i \(0.507891\pi\)
\(158\) 803.169 292.329i 0.404409 0.147193i
\(159\) 2030.22 + 1141.86i 1.01262 + 0.569531i
\(160\) 120.423 + 682.954i 0.0595018 + 0.337451i
\(161\) −74.3256 −0.0363831
\(162\) 1621.21 + 508.650i 0.786262 + 0.246687i
\(163\) 2510.23 1.20623 0.603117 0.797653i \(-0.293925\pi\)
0.603117 + 0.797653i \(0.293925\pi\)
\(164\) −37.8632 214.733i −0.0180282 0.102243i
\(165\) 1117.35 + 628.433i 0.527186 + 0.296506i
\(166\) −126.782 + 46.1447i −0.0592781 + 0.0215755i
\(167\) −2387.20 2003.10i −1.10615 0.928169i −0.108325 0.994115i \(-0.534549\pi\)
−0.997823 + 0.0659466i \(0.978993\pi\)
\(168\) 114.646 326.377i 0.0526496 0.149884i
\(169\) −3109.59 1131.80i −1.41538 0.515156i
\(170\) 423.553 + 733.616i 0.191089 + 0.330975i
\(171\) 1069.26 1952.26i 0.478176 0.873061i
\(172\) −252.062 + 436.583i −0.111741 + 0.193542i
\(173\) 688.221 577.486i 0.302454 0.253789i −0.478911 0.877863i \(-0.658968\pi\)
0.781365 + 0.624075i \(0.214524\pi\)
\(174\) 2073.08 + 341.515i 0.903218 + 0.148794i
\(175\) 40.3860 229.040i 0.0174451 0.0989362i
\(176\) 253.066 1435.21i 0.108384 0.614675i
\(177\) −643.431 1707.73i −0.273239 0.725201i
\(178\) −2547.05 + 2137.23i −1.07252 + 0.899955i
\(179\) 907.223 1571.36i 0.378821 0.656138i −0.612070 0.790804i \(-0.709663\pi\)
0.990891 + 0.134666i \(0.0429962\pi\)
\(180\) −84.7081 424.290i −0.0350765 0.175693i
\(181\) −12.5828 21.7941i −0.00516726 0.00894996i 0.863430 0.504468i \(-0.168311\pi\)
−0.868597 + 0.495518i \(0.834978\pi\)
\(182\) 439.279 + 159.885i 0.178910 + 0.0651178i
\(183\) −1248.36 1454.16i −0.504269 0.587402i
\(184\) 518.841 + 435.359i 0.207877 + 0.174430i
\(185\) −2588.79 + 942.242i −1.02882 + 0.374459i
\(186\) −21.6923 1926.17i −0.00855138 0.759320i
\(187\) 399.710 + 2266.87i 0.156308 + 0.886469i
\(188\) 1100.06 0.426754
\(189\) −117.586 + 360.515i −0.0452547 + 0.138749i
\(190\) 1199.28 0.457919
\(191\) 303.311 + 1720.16i 0.114905 + 0.651657i 0.986797 + 0.161960i \(0.0517816\pi\)
−0.871893 + 0.489697i \(0.837107\pi\)
\(192\) −2476.29 + 1467.11i −0.930784 + 0.551456i
\(193\) −2367.51 + 861.705i −0.882992 + 0.321383i −0.743417 0.668829i \(-0.766796\pi\)
−0.139575 + 0.990211i \(0.544574\pi\)
\(194\) −2041.67 1713.16i −0.755584 0.634010i
\(195\) 2365.07 444.543i 0.868543 0.163253i
\(196\) −809.915 294.785i −0.295158 0.107429i
\(197\) 908.545 + 1573.65i 0.328584 + 0.569125i 0.982231 0.187675i \(-0.0600951\pi\)
−0.653647 + 0.756800i \(0.726762\pi\)
\(198\) −376.683 + 2458.90i −0.135200 + 0.882556i
\(199\) −131.725 + 228.155i −0.0469234 + 0.0812738i −0.888533 0.458812i \(-0.848275\pi\)
0.841610 + 0.540086i \(0.181608\pi\)
\(200\) −1623.51 + 1362.29i −0.573999 + 0.481642i
\(201\) −1989.18 + 2425.57i −0.698039 + 0.851176i
\(202\) 182.550 1035.29i 0.0635850 0.360609i
\(203\) −81.4236 + 461.776i −0.0281518 + 0.159657i
\(204\) 492.634 600.708i 0.169075 0.206167i
\(205\) −406.040 + 340.708i −0.138337 + 0.116078i
\(206\) −18.6079 + 32.2298i −0.00629355 + 0.0109008i
\(207\) −579.359 464.313i −0.194533 0.155903i
\(208\) −1367.87 2369.22i −0.455983 0.789786i
\(209\) 3062.26 + 1114.57i 1.01350 + 0.368882i
\(210\) −200.794 + 37.7416i −0.0659813 + 0.0124020i
\(211\) 2735.26 + 2295.16i 0.892432 + 0.748839i 0.968696 0.248249i \(-0.0798550\pi\)
−0.0762648 + 0.997088i \(0.524299\pi\)
\(212\) 1081.53 393.646i 0.350377 0.127527i
\(213\) −3784.40 + 2242.12i −1.21738 + 0.721257i
\(214\) −77.1288 437.419i −0.0246375 0.139726i
\(215\) 1225.47 0.388728
\(216\) 2932.53 1827.87i 0.923766 0.575792i
\(217\) 429.903 0.134487
\(218\) 204.530 + 1159.95i 0.0635438 + 0.360375i
\(219\) 2.48013 + 220.223i 0.000765259 + 0.0679512i
\(220\) 595.231 216.646i 0.182411 0.0663922i
\(221\) 3310.09 + 2777.49i 1.00751 + 0.845404i
\(222\) −3482.14 4056.19i −1.05273 1.22628i
\(223\) −2659.24 967.883i −0.798546 0.290647i −0.0896619 0.995972i \(-0.528579\pi\)
−0.708884 + 0.705325i \(0.750801\pi\)
\(224\) −150.163 260.090i −0.0447911 0.0775804i
\(225\) 1745.62 1533.05i 0.517221 0.454237i
\(226\) 2290.13 3966.63i 0.674059 1.16750i
\(227\) −2392.61 + 2007.64i −0.699574 + 0.587013i −0.921653 0.388016i \(-0.873160\pi\)
0.222078 + 0.975029i \(0.428716\pi\)
\(228\) −387.786 1029.22i −0.112639 0.298955i
\(229\) −365.834 + 2074.75i −0.105568 + 0.598704i 0.885424 + 0.464784i \(0.153868\pi\)
−0.990992 + 0.133921i \(0.957243\pi\)
\(230\) 69.4632 393.946i 0.0199142 0.112939i
\(231\) −547.786 90.2412i −0.156025 0.0257032i
\(232\) 3273.22 2746.56i 0.926282 0.777243i
\(233\) 3081.61 5337.51i 0.866451 1.50074i 0.000851595 1.00000i \(-0.499729\pi\)
0.865599 0.500737i \(-0.166938\pi\)
\(234\) 2425.33 + 3990.46i 0.677558 + 1.11481i
\(235\) −1337.06 2315.86i −0.371151 0.642852i
\(236\) −847.339 308.406i −0.233716 0.0850658i
\(237\) −631.505 + 1797.78i −0.173083 + 0.492737i
\(238\) −281.026 235.808i −0.0765386 0.0642235i
\(239\) −540.460 + 196.711i −0.146274 + 0.0532393i −0.414120 0.910223i \(-0.635910\pi\)
0.267846 + 0.963462i \(0.413688\pi\)
\(240\) 1042.14 + 586.132i 0.280291 + 0.157645i
\(241\) −881.084 4996.88i −0.235501 1.33559i −0.841557 0.540168i \(-0.818361\pi\)
0.606057 0.795422i \(-0.292751\pi\)
\(242\) −539.629 −0.143342
\(243\) −3168.71 + 2075.61i −0.836514 + 0.547945i
\(244\) −946.971 −0.248457
\(245\) 363.824 + 2063.35i 0.0948728 + 0.538051i
\(246\) −896.474 504.205i −0.232346 0.130679i
\(247\) 5748.47 2092.27i 1.48084 0.538980i
\(248\) −3001.00 2518.14i −0.768402 0.644766i
\(249\) 99.6842 283.783i 0.0253704 0.0722251i
\(250\) 2884.96 + 1050.04i 0.729843 + 0.265641i
\(251\) 909.067 + 1574.55i 0.228605 + 0.395955i 0.957395 0.288782i \(-0.0932503\pi\)
−0.728790 + 0.684737i \(0.759917\pi\)
\(252\) 97.3165 + 160.118i 0.0243268 + 0.0400256i
\(253\) 543.490 941.352i 0.135055 0.233922i
\(254\) 1709.32 1434.29i 0.422254 0.354313i
\(255\) −1863.40 306.972i −0.457609 0.0753857i
\(256\) −606.730 + 3440.93i −0.148127 + 0.840072i
\(257\) −326.294 + 1850.50i −0.0791970 + 0.449149i 0.919262 + 0.393647i \(0.128787\pi\)
−0.998459 + 0.0555014i \(0.982324\pi\)
\(258\) 838.431 + 2225.27i 0.202320 + 0.536975i
\(259\) 913.942 766.888i 0.219265 0.183985i
\(260\) 594.539 1029.77i 0.141814 0.245630i
\(261\) −3519.40 + 3090.83i −0.834658 + 0.733018i
\(262\) 1715.58 + 2971.48i 0.404539 + 0.700682i
\(263\) −3213.45 1169.60i −0.753422 0.274223i −0.0633767 0.997990i \(-0.520187\pi\)
−0.690045 + 0.723767i \(0.742409\pi\)
\(264\) 3295.32 + 3838.58i 0.768230 + 0.894879i
\(265\) −2143.26 1798.41i −0.496828 0.416888i
\(266\) −488.044 + 177.634i −0.112496 + 0.0409451i
\(267\) −83.4735 7412.03i −0.0191329 1.69891i
\(268\) 269.154 + 1526.45i 0.0613476 + 0.347920i
\(269\) −55.2438 −0.0125215 −0.00626073 0.999980i \(-0.501993\pi\)
−0.00626073 + 0.999980i \(0.501993\pi\)
\(270\) −1800.93 960.168i −0.405931 0.216422i
\(271\) −4176.94 −0.936276 −0.468138 0.883655i \(-0.655075\pi\)
−0.468138 + 0.883655i \(0.655075\pi\)
\(272\) 372.805 + 2114.28i 0.0831051 + 0.471313i
\(273\) −896.616 + 531.213i −0.198775 + 0.117767i
\(274\) −1325.13 + 482.307i −0.292168 + 0.106340i
\(275\) 2605.54 + 2186.31i 0.571345 + 0.479415i
\(276\) −360.545 + 67.7689i −0.0786315 + 0.0147797i
\(277\) −1386.58 504.673i −0.300763 0.109469i 0.187230 0.982316i \(-0.440049\pi\)
−0.487994 + 0.872847i \(0.662271\pi\)
\(278\) 1112.14 + 1926.29i 0.239935 + 0.415580i
\(279\) 3351.04 + 2685.61i 0.719074 + 0.576283i
\(280\) −207.754 + 359.841i −0.0443417 + 0.0768021i
\(281\) 924.184 775.482i 0.196200 0.164631i −0.539395 0.842053i \(-0.681347\pi\)
0.735595 + 0.677421i \(0.236903\pi\)
\(282\) 3290.48 4012.35i 0.694841 0.847276i
\(283\) −255.320 + 1447.99i −0.0536297 + 0.304149i −0.999810 0.0194907i \(-0.993796\pi\)
0.946180 + 0.323640i \(0.104907\pi\)
\(284\) −377.420 + 2140.46i −0.0788583 + 0.447228i
\(285\) −1695.40 + 2067.34i −0.352375 + 0.429680i
\(286\) −5237.11 + 4394.45i −1.08279 + 0.908565i
\(287\) 114.773 198.792i 0.0236056 0.0408862i
\(288\) 454.282 2965.44i 0.0929473 0.606738i
\(289\) 761.021 + 1318.13i 0.154900 + 0.268294i
\(290\) −2371.44 863.133i −0.480192 0.174776i
\(291\) 5839.47 1097.60i 1.17634 0.221108i
\(292\) 83.3628 + 69.9497i 0.0167070 + 0.0140188i
\(293\) 2806.00 1021.30i 0.559482 0.203635i −0.0467724 0.998906i \(-0.514894\pi\)
0.606254 + 0.795271i \(0.292671\pi\)
\(294\) −3497.81 + 2072.33i −0.693865 + 0.411090i
\(295\) 380.635 + 2158.69i 0.0751235 + 0.426046i
\(296\) −10871.9 −2.13485
\(297\) −3706.19 4125.44i −0.724091 0.806002i
\(298\) −2126.12 −0.413297
\(299\) −354.325 2009.48i −0.0685323 0.388666i
\(300\) −12.9272 1147.87i −0.00248784 0.220908i
\(301\) −498.705 + 181.514i −0.0954979 + 0.0347584i
\(302\) 720.823 + 604.842i 0.137347 + 0.115248i
\(303\) 1526.59 + 1778.27i 0.289441 + 0.337157i
\(304\) 2856.13 + 1039.55i 0.538850 + 0.196125i
\(305\) 1151.00 + 1993.58i 0.216085 + 0.374270i
\(306\) −717.463 3593.67i −0.134035 0.671360i
\(307\) −2609.58 + 4519.93i −0.485136 + 0.840280i −0.999854 0.0170792i \(-0.994563\pi\)
0.514718 + 0.857359i \(0.327897\pi\)
\(308\) −210.139 + 176.328i −0.0388760 + 0.0326208i
\(309\) −29.2528 77.6396i −0.00538554 0.0142937i
\(310\) −401.779 + 2278.60i −0.0736113 + 0.417470i
\(311\) 1619.49 9184.59i 0.295283 1.67463i −0.370769 0.928725i \(-0.620906\pi\)
0.666052 0.745906i \(-0.267983\pi\)
\(312\) 9370.52 + 1543.68i 1.70032 + 0.280108i
\(313\) 2732.79 2293.08i 0.493503 0.414098i −0.361777 0.932265i \(-0.617830\pi\)
0.855280 + 0.518166i \(0.173385\pi\)
\(314\) 2859.28 4952.41i 0.513880 0.890066i
\(315\) 218.800 399.488i 0.0391364 0.0714558i
\(316\) 470.761 + 815.382i 0.0838050 + 0.145154i
\(317\) 504.110 + 183.481i 0.0893175 + 0.0325089i 0.386292 0.922376i \(-0.373756\pi\)
−0.296975 + 0.954885i \(0.595978\pi\)
\(318\) 1799.29 5122.25i 0.317292 0.903276i
\(319\) −5253.11 4407.88i −0.921999 0.773649i
\(320\) 3248.71 1182.43i 0.567527 0.206563i
\(321\) 863.070 + 485.417i 0.150068 + 0.0844030i
\(322\) 30.0822 + 170.604i 0.00520625 + 0.0295261i
\(323\) −4800.69 −0.826989
\(324\) −241.685 + 1856.03i −0.0414412 + 0.318250i
\(325\) 6384.90 1.08976
\(326\) −1015.98 5761.88i −0.172606 0.978900i
\(327\) −2288.69 1287.23i −0.387048 0.217688i
\(328\) −1965.60 + 715.421i −0.330891 + 0.120434i
\(329\) 887.135 + 744.395i 0.148661 + 0.124741i
\(330\) 990.253 2819.08i 0.165187 0.470258i
\(331\) 7145.60 + 2600.78i 1.18658 + 0.431879i 0.858521 0.512778i \(-0.171384\pi\)
0.328058 + 0.944658i \(0.393606\pi\)
\(332\) −74.3104 128.709i −0.0122841 0.0212767i
\(333\) 11914.8 268.401i 1.96074 0.0441690i
\(334\) −3631.65 + 6290.21i −0.594956 + 1.03049i
\(335\) 2886.36 2421.95i 0.470743 0.395000i
\(336\) −510.914 84.1669i −0.0829543 0.0136657i
\(337\) 1328.90 7536.54i 0.214806 1.21822i −0.666438 0.745561i \(-0.732182\pi\)
0.881243 0.472663i \(-0.156707\pi\)
\(338\) −1339.33 + 7595.71i −0.215532 + 1.22234i
\(339\) 3600.23 + 9555.35i 0.576808 + 1.53090i
\(340\) −714.828 + 599.812i −0.114021 + 0.0956746i
\(341\) −3143.57 + 5444.82i −0.499220 + 0.864674i
\(342\) −4913.92 1664.18i −0.776943 0.263125i
\(343\) −917.223 1588.68i −0.144389 0.250089i
\(344\) 4544.49 + 1654.06i 0.712275 + 0.259247i
\(345\) 580.894 + 676.658i 0.0906500 + 0.105594i
\(346\) −1604.09 1345.99i −0.249238 0.209135i
\(347\) −9254.22 + 3368.26i −1.43168 + 0.521088i −0.937412 0.348222i \(-0.886786\pi\)
−0.494267 + 0.869310i \(0.664563\pi\)
\(348\) 26.0630 + 2314.26i 0.00401472 + 0.356487i
\(349\) 517.464 + 2934.69i 0.0793674 + 0.450115i 0.998431 + 0.0560046i \(0.0178361\pi\)
−0.919063 + 0.394110i \(0.871053\pi\)
\(350\) −542.077 −0.0827863
\(351\) −10307.5 1460.43i −1.56745 0.222085i
\(352\) 4392.14 0.665062
\(353\) −2152.20 12205.8i −0.324505 1.84036i −0.513131 0.858310i \(-0.671515\pi\)
0.188627 0.982049i \(-0.439596\pi\)
\(354\) −3659.43 + 2168.08i −0.549426 + 0.325515i
\(355\) 4964.87 1807.07i 0.742276 0.270166i
\(356\) −2805.73 2354.29i −0.417707 0.350498i
\(357\) 803.775 151.079i 0.119160 0.0223976i
\(358\) −3974.02 1446.42i −0.586685 0.213536i
\(359\) 5508.78 + 9541.49i 0.809867 + 1.40273i 0.912955 + 0.408059i \(0.133794\pi\)
−0.103088 + 0.994672i \(0.532872\pi\)
\(360\) −3867.34 + 1507.07i −0.566186 + 0.220638i
\(361\) 31.2529 54.1316i 0.00455648 0.00789206i
\(362\) −44.9327 + 37.7030i −0.00652378 + 0.00547410i
\(363\) 762.867 930.226i 0.110303 0.134502i
\(364\) −89.4200 + 507.126i −0.0128760 + 0.0730237i
\(365\) 45.9363 260.518i 0.00658744 0.0373592i
\(366\) −2832.57 + 3453.98i −0.404538 + 0.493286i
\(367\) 3192.07 2678.47i 0.454018 0.380967i −0.386906 0.922119i \(-0.626456\pi\)
0.840924 + 0.541152i \(0.182012\pi\)
\(368\) 506.906 877.987i 0.0718052 0.124370i
\(369\) 2136.49 832.575i 0.301413 0.117458i
\(370\) 3210.56 + 5560.85i 0.451105 + 0.781338i
\(371\) 1138.57 + 414.406i 0.159331 + 0.0579917i
\(372\) 2085.41 391.978i 0.290655 0.0546321i
\(373\) −8891.59 7460.93i −1.23429 1.03569i −0.997949 0.0640196i \(-0.979608\pi\)
−0.236339 0.971671i \(-0.575948\pi\)
\(374\) 5041.51 1834.96i 0.697032 0.253699i
\(375\) −5888.51 + 3488.73i −0.810884 + 0.480420i
\(376\) −1832.52 10392.7i −0.251342 1.42543i
\(377\) −12872.8 −1.75858
\(378\) 875.105 + 123.990i 0.119076 + 0.0168713i
\(379\) −7443.38 −1.00881 −0.504407 0.863466i \(-0.668289\pi\)
−0.504407 + 0.863466i \(0.668289\pi\)
\(380\) 229.403 + 1301.01i 0.0309687 + 0.175632i
\(381\) 56.0191 + 4974.22i 0.00753266 + 0.668863i
\(382\) 3825.64 1392.42i 0.512400 0.186498i
\(383\) 5971.10 + 5010.35i 0.796629 + 0.668451i 0.947377 0.320121i \(-0.103724\pi\)
−0.150747 + 0.988572i \(0.548168\pi\)
\(384\) 1361.19 + 1585.59i 0.180893 + 0.210715i
\(385\) 626.623 + 228.072i 0.0829498 + 0.0301913i
\(386\) 2936.14 + 5085.55i 0.387165 + 0.670589i
\(387\) −5021.26 1700.53i −0.659548 0.223367i
\(388\) 1467.95 2542.56i 0.192072 0.332678i
\(389\) 2589.80 2173.10i 0.337553 0.283240i −0.458216 0.888841i \(-0.651511\pi\)
0.795769 + 0.605600i \(0.207067\pi\)
\(390\) −1977.61 5248.77i −0.256770 0.681491i
\(391\) −278.060 + 1576.96i −0.0359645 + 0.203965i
\(392\) −1435.77 + 8142.68i −0.184994 + 1.04915i
\(393\) −7547.61 1243.38i −0.968770 0.159593i
\(394\) 3244.37 2722.35i 0.414845 0.348096i
\(395\) 1144.37 1982.11i 0.145771 0.252483i
\(396\) −2739.53 + 61.7124i −0.347643 + 0.00783123i
\(397\) 986.308 + 1708.34i 0.124689 + 0.215967i 0.921611 0.388114i \(-0.126873\pi\)
−0.796923 + 0.604082i \(0.793540\pi\)
\(398\) 577.013 + 210.015i 0.0726709 + 0.0264501i
\(399\) 383.733 1092.42i 0.0481470 0.137066i
\(400\) 2430.15 + 2039.14i 0.303769 + 0.254893i
\(401\) 6067.75 2208.48i 0.755634 0.275028i 0.0646593 0.997907i \(-0.479404\pi\)
0.690974 + 0.722879i \(0.257182\pi\)
\(402\) 6372.65 + 3584.18i 0.790644 + 0.444683i
\(403\) 2049.44 + 11622.9i 0.253324 + 1.43667i
\(404\) 1158.03 0.142610
\(405\) 4201.12 1747.12i 0.515445 0.214358i
\(406\) 1092.90 0.133595
\(407\) 3029.82 + 17183.0i 0.368999 + 2.09270i
\(408\) −6495.80 3653.44i −0.788211 0.443315i
\(409\) −2929.07 + 1066.09i −0.354116 + 0.128888i −0.512952 0.858417i \(-0.671448\pi\)
0.158836 + 0.987305i \(0.449226\pi\)
\(410\) 946.387 + 794.113i 0.113997 + 0.0956547i
\(411\) 1041.90 2966.12i 0.125045 0.355980i
\(412\) −38.5232 14.0213i −0.00460655 0.00167665i
\(413\) −474.638 822.097i −0.0565506 0.0979485i
\(414\) −831.280 + 1517.76i −0.0986840 + 0.180179i
\(415\) −180.641 + 312.880i −0.0213671 + 0.0370088i
\(416\) 6315.98 5299.74i 0.744391 0.624618i
\(417\) −4892.81 806.032i −0.574585 0.0946560i
\(418\) 1318.94 7480.10i 0.154334 0.875272i
\(419\) 1908.57 10824.0i 0.222529 1.26203i −0.644823 0.764332i \(-0.723069\pi\)
0.867352 0.497695i \(-0.165820\pi\)
\(420\) −79.3519 210.607i −0.00921899 0.0244680i
\(421\) 973.947 817.239i 0.112749 0.0946075i −0.584670 0.811271i \(-0.698776\pi\)
0.697419 + 0.716664i \(0.254332\pi\)
\(422\) 4161.16 7207.35i 0.480005 0.831394i
\(423\) 2264.87 + 11344.4i 0.260335 + 1.30398i
\(424\) −5520.60 9561.96i −0.632321 1.09521i
\(425\) −4708.44 1713.73i −0.537395 0.195596i
\(426\) 6678.17 + 7779.12i 0.759526 + 0.884740i
\(427\) −763.681 640.804i −0.0865506 0.0726246i
\(428\) 459.771 167.343i 0.0519249 0.0188991i
\(429\) −171.634 15240.2i −0.0193160 1.71516i
\(430\) −495.991 2812.91i −0.0556252 0.315466i
\(431\) 9788.90 1.09400 0.547001 0.837132i \(-0.315769\pi\)
0.547001 + 0.837132i \(0.315769\pi\)
\(432\) −3456.72 3847.75i −0.384981 0.428530i
\(433\) −554.607 −0.0615536 −0.0307768 0.999526i \(-0.509798\pi\)
−0.0307768 + 0.999526i \(0.509798\pi\)
\(434\) −173.997 986.784i −0.0192445 0.109141i
\(435\) 4840.36 2867.74i 0.533512 0.316087i
\(436\) −1219.22 + 443.760i −0.133922 + 0.0487437i
\(437\) 1736.62 + 1457.20i 0.190100 + 0.159513i
\(438\) 504.489 94.8248i 0.0550352 0.0103445i
\(439\) 527.503 + 191.995i 0.0573493 + 0.0208734i 0.370536 0.928818i \(-0.379174\pi\)
−0.313186 + 0.949692i \(0.601396\pi\)
\(440\) −3038.31 5262.51i −0.329195 0.570182i
\(441\) 1372.48 8959.23i 0.148200 0.967415i
\(442\) 5035.65 8722.00i 0.541903 0.938604i
\(443\) −13469.2 + 11302.0i −1.44456 + 1.21213i −0.508130 + 0.861280i \(0.669663\pi\)
−0.936431 + 0.350851i \(0.885892\pi\)
\(444\) 3734.19 4553.41i 0.399137 0.486701i
\(445\) −1546.07 + 8768.22i −0.164699 + 0.934053i
\(446\) −1145.36 + 6495.65i −0.121602 + 0.689637i
\(447\) 3005.66 3665.05i 0.318038 0.387810i
\(448\) −1146.92 + 962.381i −0.120953 + 0.101492i
\(449\) −2896.70 + 5017.23i −0.304463 + 0.527345i −0.977142 0.212590i \(-0.931810\pi\)
0.672679 + 0.739934i \(0.265144\pi\)
\(450\) −4225.42 3386.36i −0.442641 0.354743i
\(451\) 1678.50 + 2907.25i 0.175249 + 0.303541i
\(452\) 4741.17 + 1725.65i 0.493376 + 0.179574i
\(453\) −2061.66 + 387.514i −0.213831 + 0.0401920i
\(454\) 5576.64 + 4679.36i 0.576486 + 0.483729i
\(455\) 1176.30 428.137i 0.121199 0.0441130i
\(456\) −9077.51 + 5378.10i −0.932222 + 0.552308i
\(457\) −129.874 736.553i −0.0132938 0.0753928i 0.977439 0.211217i \(-0.0677428\pi\)
−0.990733 + 0.135825i \(0.956632\pi\)
\(458\) 4910.37 0.500975
\(459\) 7209.12 + 3843.54i 0.733100 + 0.390852i
\(460\) 440.650 0.0446640
\(461\) −1984.93 11257.1i −0.200537 1.13730i −0.904310 0.426876i \(-0.859614\pi\)
0.703774 0.710424i \(-0.251497\pi\)
\(462\) 14.5717 + 1293.89i 0.00146739 + 0.130297i
\(463\) −6328.14 + 2303.25i −0.635191 + 0.231191i −0.639489 0.768800i \(-0.720854\pi\)
0.00429807 + 0.999991i \(0.498632\pi\)
\(464\) −4899.51 4111.18i −0.490203 0.411329i
\(465\) −3359.92 3913.82i −0.335080 0.390321i
\(466\) −13498.8 4913.15i −1.34188 0.488406i
\(467\) −753.154 1304.50i −0.0746292 0.129261i 0.826296 0.563236i \(-0.190444\pi\)
−0.900925 + 0.433975i \(0.857111\pi\)
\(468\) −3865.04 + 3394.38i −0.381755 + 0.335267i
\(469\) −815.870 + 1413.13i −0.0803270 + 0.139130i
\(470\) −4774.59 + 4006.36i −0.468586 + 0.393190i
\(471\) 4494.96 + 11930.1i 0.439739 + 1.16711i
\(472\) −1502.12 + 8518.94i −0.146484 + 0.830754i
\(473\) 1347.75 7643.49i 0.131014 0.743019i
\(474\) 4382.16 + 721.908i 0.424640 + 0.0699543i
\(475\) −5434.09 + 4559.74i −0.524911 + 0.440453i
\(476\) 202.056 349.971i 0.0194563 0.0336993i
\(477\) 6286.23 + 10342.9i 0.603411 + 0.992808i
\(478\) 670.267 + 1160.94i 0.0641366 + 0.111088i
\(479\) −7393.80 2691.12i −0.705285 0.256703i −0.0356191 0.999365i \(-0.511340\pi\)
−0.669666 + 0.742663i \(0.733563\pi\)
\(480\) −1194.25 + 3399.82i −0.113562 + 0.323292i
\(481\) 25090.6 + 21053.6i 2.37845 + 1.99576i
\(482\) −11113.0 + 4044.82i −1.05018 + 0.382233i
\(483\) −336.619 189.325i −0.0317116 0.0178356i
\(484\) −103.223 585.405i −0.00969409 0.0549779i
\(485\) −7136.87 −0.668183
\(486\) 6046.78 + 6433.27i 0.564377 + 0.600451i
\(487\) −12030.9 −1.11945 −0.559724 0.828679i \(-0.689093\pi\)
−0.559724 + 0.828679i \(0.689093\pi\)
\(488\) 1577.50 + 8946.45i 0.146332 + 0.829891i
\(489\) 11368.7 + 6394.14i 1.05135 + 0.591315i
\(490\) 4588.88 1670.22i 0.423070 0.153985i
\(491\) −8360.94 7015.66i −0.768481 0.644832i 0.171839 0.985125i \(-0.445029\pi\)
−0.940319 + 0.340293i \(0.889474\pi\)
\(492\) 375.494 1068.97i 0.0344077 0.0979527i
\(493\) 9492.84 + 3455.11i 0.867213 + 0.315640i
\(494\) −7129.13 12348.0i −0.649301 1.12462i
\(495\) 3459.68 + 5692.32i 0.314144 + 0.516870i
\(496\) −2931.97 + 5078.32i −0.265422 + 0.459725i
\(497\) −1752.79 + 1470.77i −0.158196 + 0.132742i
\(498\) −691.732 113.954i −0.0622435 0.0102539i
\(499\) 2712.48 15383.2i 0.243341 1.38006i −0.580973 0.813923i \(-0.697328\pi\)
0.824314 0.566133i \(-0.191561\pi\)
\(500\) −587.264 + 3330.54i −0.0525265 + 0.297893i
\(501\) −5709.19 15152.7i −0.509117 1.35124i
\(502\) 3246.23 2723.91i 0.288619 0.242180i
\(503\) 9728.26 16849.8i 0.862349 1.49363i −0.00730688 0.999973i \(-0.502326\pi\)
0.869656 0.493659i \(-0.164341\pi\)
\(504\) 1350.59 1186.12i 0.119365 0.104829i
\(505\) −1407.53 2437.92i −0.124028 0.214824i
\(506\) −2380.71 866.509i −0.209161 0.0761285i
\(507\) −11200.3 13046.7i −0.981108 1.14285i
\(508\) 1882.93 + 1579.96i 0.164452 + 0.137991i
\(509\) −12484.3 + 4543.90i −1.08714 + 0.395687i −0.822561 0.568677i \(-0.807456\pi\)
−0.264580 + 0.964364i \(0.585233\pi\)
\(510\) 49.5682 + 4401.42i 0.00430376 + 0.382153i
\(511\) 19.8934 + 112.821i 0.00172218 + 0.00976696i
\(512\) 11361.1 0.980653
\(513\) 9815.51 6118.10i 0.844767 0.526551i
\(514\) 4379.64 0.375832
\(515\) 17.3051 + 98.1420i 0.00148069 + 0.00839739i
\(516\) −2253.66 + 1335.21i −0.192271 + 0.113914i
\(517\) −15914.9 + 5792.56i −1.35384 + 0.492759i
\(518\) −2130.19 1787.44i −0.180686 0.151613i
\(519\) 4587.93 862.356i 0.388030 0.0729350i
\(520\) −10719.1 3901.44i −0.903970 0.329018i
\(521\) 1678.81 + 2907.79i 0.141171 + 0.244516i 0.927938 0.372735i \(-0.121580\pi\)
−0.786767 + 0.617250i \(0.788247\pi\)
\(522\) 8519.01 + 6827.35i 0.714305 + 0.572461i
\(523\) 5383.99 9325.34i 0.450144 0.779672i −0.548251 0.836314i \(-0.684706\pi\)
0.998395 + 0.0566419i \(0.0180393\pi\)
\(524\) −2895.38 + 2429.51i −0.241384 + 0.202545i
\(525\) 766.327 934.445i 0.0637053 0.0776810i
\(526\) −1384.06 + 7849.42i −0.114730 + 0.650667i
\(527\) 1608.32 9121.21i 0.132940 0.753940i
\(528\) 4801.94 5855.39i 0.395791 0.482620i
\(529\) −8741.21 + 7334.74i −0.718436 + 0.602839i
\(530\) −3260.55 + 5647.44i −0.267225 + 0.462847i
\(531\) 1435.90 9373.21i 0.117350 0.766032i
\(532\) −286.057 495.465i −0.0233123 0.0403781i
\(533\) 5921.72 + 2155.33i 0.481235 + 0.175155i
\(534\) −16979.5 + 3191.51i −1.37599 + 0.258633i
\(535\) −911.123 764.523i −0.0736285 0.0617817i
\(536\) 13972.6 5085.62i 1.12598 0.409824i
\(537\) 8111.40 4805.72i 0.651830 0.386186i
\(538\) 22.3591 + 126.805i 0.00179176 + 0.0101616i
\(539\) 13269.6 1.06041
\(540\) 697.127 2137.37i 0.0555547 0.170329i
\(541\) 10631.7 0.844900 0.422450 0.906386i \(-0.361170\pi\)
0.422450 + 0.906386i \(0.361170\pi\)
\(542\) 1690.55 + 9587.59i 0.133977 + 0.759819i
\(543\) −1.47256 130.756i −0.000116379 0.0103339i
\(544\) −6080.09 + 2212.97i −0.479194 + 0.174412i
\(545\) 2416.12 + 2027.36i 0.189899 + 0.159344i
\(546\) 1582.22 + 1843.06i 0.124016 + 0.144461i
\(547\) 7239.72 + 2635.04i 0.565901 + 0.205971i 0.609097 0.793095i \(-0.291532\pi\)
−0.0431962 + 0.999067i \(0.513754\pi\)
\(548\) −776.697 1345.28i −0.0605453 0.104868i
\(549\) −1949.69 9765.71i −0.151568 0.759181i
\(550\) 3963.82 6865.53i 0.307305 0.532268i
\(551\) 10955.8 9193.04i 0.847068 0.710774i
\(552\) 1240.85 + 3293.34i 0.0956779 + 0.253938i
\(553\) −172.116 + 976.119i −0.0132353 + 0.0750612i
\(554\) −597.213 + 3386.96i −0.0457999 + 0.259744i
\(555\) −14124.7 2326.87i −1.08029 0.177964i
\(556\) −1876.96 + 1574.96i −0.143167 + 0.120131i
\(557\) −7812.89 + 13532.3i −0.594332 + 1.02941i 0.399309 + 0.916817i \(0.369250\pi\)
−0.993641 + 0.112597i \(0.964083\pi\)
\(558\) 4808.16 8778.82i 0.364777 0.666016i
\(559\) −7284.86 12617.7i −0.551193 0.954694i
\(560\) 584.444 + 212.720i 0.0441023 + 0.0160519i
\(561\) −3963.97 + 11284.7i −0.298323 + 0.849272i
\(562\) −2154.06 1807.47i −0.161679 0.135665i
\(563\) −3110.45 + 1132.11i −0.232842 + 0.0847475i −0.455806 0.890079i \(-0.650649\pi\)
0.222964 + 0.974827i \(0.428427\pi\)
\(564\) 4982.12 + 2802.10i 0.371960 + 0.209202i
\(565\) −2129.79 12078.7i −0.158586 0.899386i
\(566\) 3427.01 0.254502
\(567\) −1450.86 + 1333.25i −0.107461 + 0.0987496i
\(568\) 20850.5 1.54026
\(569\) 2333.03 + 13231.3i 0.171891 + 0.974840i 0.941672 + 0.336532i \(0.109254\pi\)
−0.769781 + 0.638308i \(0.779635\pi\)
\(570\) 5431.49 + 3054.84i 0.399123 + 0.224479i
\(571\) 20350.2 7406.86i 1.49147 0.542850i 0.537633 0.843179i \(-0.319318\pi\)
0.953836 + 0.300328i \(0.0970962\pi\)
\(572\) −5769.00 4840.77i −0.421703 0.353851i
\(573\) −3007.97 + 8563.17i −0.219302 + 0.624313i
\(574\) −502.753 182.987i −0.0365583 0.0133062i
\(575\) 1183.06 + 2049.13i 0.0858037 + 0.148616i
\(576\) −14952.1 + 336.821i −1.08160 + 0.0243649i
\(577\) −6942.37 + 12024.5i −0.500892 + 0.867570i 0.499108 + 0.866540i \(0.333661\pi\)
−0.999999 + 0.00103001i \(0.999672\pi\)
\(578\) 2717.57 2280.31i 0.195564 0.164098i
\(579\) −12917.4 2127.98i −0.927164 0.152739i
\(580\) 482.732 2737.71i 0.0345592 0.195995i
\(581\) 27.1688 154.082i 0.00194002 0.0110024i
\(582\) −4882.83 12959.5i −0.347766 0.923003i
\(583\) −13574.1 + 11390.0i −0.964292 + 0.809137i
\(584\) 521.976 904.090i 0.0369855 0.0640608i
\(585\) 11843.7 + 4011.06i 0.837053 + 0.283482i
\(586\) −3479.94 6027.43i −0.245316 0.424899i
\(587\) 3702.30 + 1347.53i 0.260324 + 0.0947501i 0.468885 0.883259i \(-0.344656\pi\)
−0.208561 + 0.978009i \(0.566878\pi\)
\(588\) −2917.19 3398.12i −0.204597 0.238326i
\(589\) −10044.7 8428.49i −0.702689 0.589626i
\(590\) 4800.92 1747.39i 0.335001 0.121930i
\(591\) 106.327 + 9441.28i 0.00740049 + 0.657127i
\(592\) 2825.88 + 16026.4i 0.196187 + 1.11263i
\(593\) 12075.4 0.836219 0.418109 0.908397i \(-0.362693\pi\)
0.418109 + 0.908397i \(0.362693\pi\)
\(594\) −7969.37 + 10176.8i −0.550484 + 0.702959i
\(595\) −982.355 −0.0676851
\(596\) −406.693 2306.47i −0.0279510 0.158518i
\(597\) −1177.75 + 697.772i −0.0807402 + 0.0478357i
\(598\) −4469.08 + 1626.61i −0.305609 + 0.111233i
\(599\) 3521.24 + 2954.67i 0.240190 + 0.201544i 0.754935 0.655800i \(-0.227669\pi\)
−0.514744 + 0.857344i \(0.672113\pi\)
\(600\) −10822.9 + 2034.30i −0.736407 + 0.138417i
\(601\) −12007.3 4370.29i −0.814954 0.296619i −0.0992853 0.995059i \(-0.531656\pi\)
−0.715669 + 0.698440i \(0.753878\pi\)
\(602\) 618.483 + 1071.24i 0.0418729 + 0.0725260i
\(603\) −15187.4 + 5918.42i −1.02567 + 0.399696i
\(604\) −518.268 + 897.666i −0.0349139 + 0.0604727i
\(605\) −1106.95 + 928.837i −0.0743863 + 0.0624175i
\(606\) 3463.90 4223.81i 0.232197 0.283137i
\(607\) 4788.12 27154.8i 0.320171 1.81578i −0.221466 0.975168i \(-0.571084\pi\)
0.541637 0.840612i \(-0.317805\pi\)
\(608\) −1590.65 + 9021.04i −0.106101 + 0.601730i
\(609\) −1545.02 + 1883.97i −0.102803 + 0.125357i
\(610\) 4110.15 3448.83i 0.272812 0.228916i
\(611\) −15896.4 + 27533.4i −1.05254 + 1.82305i
\(612\) 3761.27 1465.74i 0.248432 0.0968119i
\(613\) 13671.0 + 23678.9i 0.900760 + 1.56016i 0.826509 + 0.562923i \(0.190323\pi\)
0.0742512 + 0.997240i \(0.476343\pi\)
\(614\) 11431.1 + 4160.57i 0.751336 + 0.273464i
\(615\) −2706.81 + 508.777i −0.177478 + 0.0333591i
\(616\) 2015.90 + 1691.54i 0.131856 + 0.110640i
\(617\) −11248.8 + 4094.25i −0.733973 + 0.267144i −0.681846 0.731496i \(-0.738822\pi\)
−0.0521276 + 0.998640i \(0.516600\pi\)
\(618\) −166.371 + 98.5692i −0.0108292 + 0.00641591i
\(619\) −3036.42 17220.4i −0.197163 1.11817i −0.909304 0.416132i \(-0.863386\pi\)
0.712141 0.702036i \(-0.247726\pi\)
\(620\) −2548.74 −0.165097
\(621\) −1441.19 3578.62i −0.0931286 0.231248i
\(622\) −21737.4 −1.40127
\(623\) −669.551 3797.22i −0.0430578 0.244193i
\(624\) −160.081 14214.4i −0.0102698 0.911909i
\(625\) −2381.77 + 866.893i −0.152433 + 0.0554811i
\(626\) −6369.52 5344.66i −0.406673 0.341239i
\(627\) 11029.8 + 12848.1i 0.702532 + 0.818350i
\(628\) 5919.45 + 2154.50i 0.376133 + 0.136901i
\(629\) −12851.8 22260.0i −0.814684 1.41107i
\(630\) −1005.53 340.538i −0.0635891 0.0215355i
\(631\) 7837.35 13574.7i 0.494453 0.856418i −0.505527 0.862811i \(-0.668702\pi\)
0.999980 + 0.00639327i \(0.00203505\pi\)
\(632\) 6919.06 5805.78i 0.435483 0.365414i
\(633\) 6541.61 + 17362.0i 0.410752 + 1.09017i
\(634\) 217.125 1231.38i 0.0136012 0.0771360i
\(635\) 1037.57 5884.35i 0.0648420 0.367737i
\(636\) 5900.94 + 972.109i 0.367905 + 0.0606079i
\(637\) 19081.9 16011.6i 1.18690 0.995925i
\(638\) −7991.58 + 13841.8i −0.495909 + 0.858939i
\(639\) −22850.7 + 514.749i −1.41465 + 0.0318672i
\(640\) −1255.03 2173.77i −0.0775146 0.134259i
\(641\) −11192.7 4073.82i −0.689682 0.251024i −0.0266830 0.999644i \(-0.508494\pi\)
−0.662999 + 0.748620i \(0.730717\pi\)
\(642\) 764.896 2177.52i 0.0470218 0.133863i
\(643\) −1791.00 1502.83i −0.109845 0.0921707i 0.586211 0.810158i \(-0.300619\pi\)
−0.696056 + 0.717988i \(0.745063\pi\)
\(644\) −179.322 + 65.2679i −0.0109725 + 0.00399366i
\(645\) 5550.14 + 3121.57i 0.338816 + 0.190561i
\(646\) 1943.01 + 11019.3i 0.118338 + 0.671130i
\(647\) 27544.4 1.67370 0.836850 0.547433i \(-0.184395\pi\)
0.836850 + 0.547433i \(0.184395\pi\)
\(648\) 17937.4 808.548i 1.08742 0.0490166i
\(649\) 13882.7 0.839669
\(650\) −2584.19 14655.7i −0.155939 0.884373i
\(651\) 1947.02 + 1095.06i 0.117219 + 0.0659277i
\(652\) 6056.31 2204.32i 0.363778 0.132405i
\(653\) 14617.2 + 12265.3i 0.875983 + 0.735037i 0.965349 0.260962i \(-0.0840396\pi\)
−0.0893659 + 0.995999i \(0.528484\pi\)
\(654\) −2028.35 + 5774.36i −0.121277 + 0.345253i
\(655\) 8633.85 + 3142.47i 0.515042 + 0.187460i
\(656\) 1565.52 + 2711.55i 0.0931755 + 0.161385i
\(657\) −549.728 + 1003.70i −0.0326437 + 0.0596015i
\(658\) 1349.60 2337.58i 0.0799590 0.138493i
\(659\) −4300.20 + 3608.30i −0.254191 + 0.213292i −0.760975 0.648782i \(-0.775279\pi\)
0.506783 + 0.862073i \(0.330834\pi\)
\(660\) 3247.63 + 535.008i 0.191536 + 0.0315533i
\(661\) −3251.84 + 18442.1i −0.191349 + 1.08519i 0.726174 + 0.687511i \(0.241297\pi\)
−0.917523 + 0.397683i \(0.869814\pi\)
\(662\) 3077.68 17454.4i 0.180691 1.02475i
\(663\) 7916.36 + 21010.8i 0.463719 + 1.23075i
\(664\) −1092.19 + 916.452i −0.0638329 + 0.0535621i
\(665\) −695.376 + 1204.43i −0.0405497 + 0.0702341i
\(666\) −5438.42 27240.2i −0.316418 1.58489i
\(667\) −2385.21 4131.31i −0.138464 0.239827i
\(668\) −7518.47 2736.50i −0.435477 0.158501i
\(669\) −9578.18 11157.2i −0.553533 0.644788i
\(670\) −6727.46 5645.01i −0.387917 0.325501i
\(671\) 13700.2 4986.46i 0.788211 0.286885i
\(672\) −17.5735 1560.44i −0.00100880 0.0895765i
\(673\) 1039.78 + 5896.87i 0.0595550 + 0.337753i 0.999998 0.00219950i \(-0.000700122\pi\)
−0.940443 + 0.339952i \(0.889589\pi\)
\(674\) −17836.9 −1.01937
\(675\) 11810.9 2496.63i 0.673485 0.142364i
\(676\) −8496.23 −0.483400
\(677\) −3572.70 20261.8i −0.202821 1.15026i −0.900832 0.434169i \(-0.857042\pi\)
0.698010 0.716088i \(-0.254069\pi\)
\(678\) 20475.9 12131.2i 1.15984 0.687164i
\(679\) 2904.34 1057.09i 0.164151 0.0597460i
\(680\) 6857.47 + 5754.10i 0.386724 + 0.324500i
\(681\) −15950.0 + 2998.00i −0.897513 + 0.168698i
\(682\) 13770.2 + 5011.93i 0.773148 + 0.281403i
\(683\) −5457.83 9453.24i −0.305766 0.529602i 0.671666 0.740854i \(-0.265579\pi\)
−0.977432 + 0.211252i \(0.932246\pi\)
\(684\) 865.395 5649.09i 0.0483760 0.315787i
\(685\) −1888.07 + 3270.24i −0.105313 + 0.182408i
\(686\) −3275.36 + 2748.35i −0.182294 + 0.152963i
\(687\) −6941.73 + 8464.62i −0.385507 + 0.470080i
\(688\) 1257.03 7129.00i 0.0696570 0.395044i
\(689\) −5776.15 + 32758.2i −0.319381 + 1.81130i
\(690\) 1318.07 1607.23i 0.0727218 0.0886756i
\(691\) 648.624 544.261i 0.0357089 0.0299633i −0.624759 0.780818i \(-0.714803\pi\)
0.660467 + 0.750855i \(0.270358\pi\)
\(692\) 1153.33 1997.63i 0.0633570 0.109737i
\(693\) −2251.04 1804.04i −0.123391 0.0988887i
\(694\) 11476.9 + 19878.5i 0.627747 + 1.08729i
\(695\) 5596.98 + 2037.13i 0.305476 + 0.111184i
\(696\) 21820.5 4101.42i 1.18837 0.223368i
\(697\) −3788.38 3178.82i −0.205875 0.172750i
\(698\) 6526.74 2375.54i 0.353926 0.128819i
\(699\) 27552.4 16323.8i 1.49088 0.883296i
\(700\) −103.691 588.060i −0.00559878 0.0317523i
\(701\) −17623.2 −0.949529 −0.474765 0.880113i \(-0.657467\pi\)
−0.474765 + 0.880113i \(0.657467\pi\)
\(702\) 819.599 + 24250.6i 0.0440652 + 1.30382i
\(703\) −36389.5 −1.95229
\(704\) −3802.18 21563.2i −0.203551 1.15440i
\(705\) −156.476 13894.3i −0.00835919 0.742254i
\(706\) −27145.6 + 9880.18i −1.44708 + 0.526693i
\(707\) 933.891 + 783.628i 0.0496784 + 0.0416851i
\(708\) −3051.99 3555.13i −0.162007 0.188715i
\(709\) −2260.60 822.791i −0.119744 0.0435833i 0.281453 0.959575i \(-0.409184\pi\)
−0.401197 + 0.915992i \(0.631406\pi\)
\(710\) −6157.33 10664.8i −0.325465 0.563722i
\(711\) −7439.45 + 6533.52i −0.392407 + 0.344622i
\(712\) −17568.1 + 30428.9i −0.924709 + 1.60164i
\(713\) −3350.44 + 2811.35i −0.175982 + 0.147666i
\(714\) −672.097 1783.81i −0.0352277 0.0934977i
\(715\) −3178.96 + 18028.8i −0.166274 + 0.942989i
\(716\) 808.954 4587.80i 0.0422235 0.239461i
\(717\) −2948.80 485.779i −0.153591 0.0253023i
\(718\) 19671.6 16506.4i 1.02248 0.857959i
\(719\) 2183.22 3781.44i 0.113241 0.196139i −0.803834 0.594853i \(-0.797210\pi\)
0.917075 + 0.398714i \(0.130543\pi\)
\(720\) 3226.81 + 5309.16i 0.167022 + 0.274806i
\(721\) −21.5788 37.3756i −0.00111461 0.00193057i
\(722\) −136.901 49.8279i −0.00705668 0.00256842i
\(723\) 8737.82 24875.0i 0.449465 1.27955i
\(724\) −49.4962 41.5322i −0.00254076 0.00213195i
\(725\) 14027.0 5105.41i 0.718552 0.261531i
\(726\) −2443.97 1374.56i −0.124937 0.0702683i
\(727\) −390.362 2213.85i −0.0199143 0.112940i 0.973230 0.229832i \(-0.0738178\pi\)
−0.993145 + 0.116893i \(0.962707\pi\)
\(728\) 4940.00 0.251495
\(729\) −19638.1 + 1328.94i −0.997718 + 0.0675171i
\(730\) −616.575 −0.0312609
\(731\) 1985.45 + 11260.0i 0.100458 + 0.569723i
\(732\) −4288.81 2412.16i −0.216556 0.121798i
\(733\) 11697.6 4257.58i 0.589442 0.214539i −0.0300420 0.999549i \(-0.509564\pi\)
0.619484 + 0.785009i \(0.287342\pi\)
\(734\) −7439.99 6242.90i −0.374135 0.313937i
\(735\) −3608.08 + 10271.6i −0.181070 + 0.515474i
\(736\) 2871.15 + 1045.01i 0.143794 + 0.0523366i
\(737\) −11931.7 20666.4i −0.596352 1.03291i
\(738\) −2775.78 4567.06i −0.138452 0.227799i
\(739\) −18843.7 + 32638.3i −0.937993 + 1.62465i −0.168787 + 0.985653i \(0.553985\pi\)
−0.769207 + 0.639000i \(0.779348\pi\)
\(740\) −5418.44 + 4546.61i −0.269170 + 0.225860i
\(741\) 31364.2 + 5166.87i 1.55491 + 0.256154i
\(742\) 490.394 2781.16i 0.0242627 0.137601i
\(743\) −1559.46 + 8844.15i −0.0770001 + 0.436689i 0.921798 + 0.387671i \(0.126720\pi\)
−0.998798 + 0.0490183i \(0.984391\pi\)
\(744\) −7177.15 19048.8i −0.353666 0.938661i
\(745\) −4361.32 + 3659.58i −0.214478 + 0.179969i
\(746\) −13526.8 + 23429.1i −0.663877 + 1.14987i
\(747\) 1174.33 1031.33i 0.0575187 0.0505145i
\(748\) 2954.98 + 5118.17i 0.144445 + 0.250186i
\(749\) 484.019 + 176.169i 0.0236124 + 0.00859421i
\(750\) 10391.2 + 12104.3i 0.505911 + 0.589314i
\(751\) −14919.1 12518.6i −0.724908 0.608270i 0.203830 0.979006i \(-0.434661\pi\)
−0.928738 + 0.370736i \(0.879105\pi\)
\(752\) −14843.7 + 5402.65i −0.719804 + 0.261987i
\(753\) 106.388 + 9446.70i 0.00514872 + 0.457180i
\(754\) 5210.07 + 29547.8i 0.251644 + 1.42714i
\(755\) 2519.71 0.121459
\(756\) 32.8865 + 973.056i 0.00158210 + 0.0468118i
\(757\) 4304.01 0.206647 0.103324 0.994648i \(-0.467052\pi\)
0.103324 + 0.994648i \(0.467052\pi\)
\(758\) 3012.59 + 17085.3i 0.144357 + 0.818687i
\(759\) 4859.29 2878.96i 0.232386 0.137681i
\(760\) 11909.1 4334.54i 0.568404 0.206882i
\(761\) 26645.0