Properties

Label 27.4.e.a.25.3
Level 27
Weight 4
Character 27.25
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 25.3
Character \(\chi\) = 27.25
Dual form 27.4.e.a.13.3

$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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 0.825781 + 0.563990i \(0.190734\pi\)
−0.968877 + 0.247544i \(0.920377\pi\)
\(3\) 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 −0.831059 0.556184i \(-0.812265\pi\)
0.403422 + 0.915014i \(0.367821\pi\)
\(6\) 4.01380 + 11.4266i 0.273105 + 0.777481i
\(7\) 2.53990 0.924448i 0.137142 0.0499155i −0.272537 0.962145i \(-0.587863\pi\)
0.409679 + 0.912230i \(0.365641\pi\)
\(8\) −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 0.125291 0.992120i \(-0.460014\pi\)
−0.955291 + 0.295667i \(0.904458\pi\)
\(12\) 13.1637 2.16856i 0.316669 0.0521673i
\(13\) −12.8853 73.0761i −0.274903 1.55905i −0.739270 0.673409i \(-0.764829\pi\)
0.464367 0.885643i \(-0.346282\pi\)
\(14\) 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 0.995469 0.0950816i \(-0.0303112\pi\)
−0.580078 + 0.814561i \(0.696978\pi\)
\(18\) 47.2846 + 41.5266i 0.619172 + 0.543773i
\(19\) −41.2204 + 71.3959i −0.497717 + 0.862070i −0.999997 0.00263470i \(-0.999161\pi\)
0.502280 + 0.864705i \(0.332495\pi\)
\(20\) −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 0.222222 0.974996i \(-0.428669\pi\)
−0.456484 + 0.889732i \(0.650891\pi\)
\(24\) −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 −0.722488 0.691383i \(-0.757002\pi\)
0.915384 0.402582i \(-0.131887\pi\)
\(30\) −65.0323 38.5293i −0.395774 0.234482i
\(31\) 149.460 + 54.3991i 0.865931 + 0.315173i 0.736518 0.676418i \(-0.236469\pi\)
0.129413 + 0.991591i \(0.458691\pi\)
\(32\) −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 0.659977 + 0.751286i \(0.270566\pi\)
0.320644 + 0.947200i \(0.396101\pi\)
\(38\) −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 0.999927 0.0120735i \(-0.00384321\pi\)
−0.943754 + 0.330650i \(0.892732\pi\)
\(42\) 20.7579 + 25.3118i 0.0762624 + 0.0929929i
\(43\) −150.412 126.210i −0.533431 0.447602i 0.335853 0.941914i \(-0.390975\pi\)
−0.869284 + 0.494312i \(0.835420\pi\)
\(44\) −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 0.369283 0.929317i \(-0.379603\pi\)
0.880240 + 0.474528i \(0.157381\pi\)
\(48\) −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 −0.889401 0.457128i \(-0.848878\pi\)
0.295741 + 0.955268i \(0.404434\pi\)
\(60\) −54.2373 + 63.1788i −0.116700 + 0.135939i
\(61\) −346.588 + 126.148i −0.727475 + 0.264779i −0.679096 0.734050i \(-0.737628\pi\)
−0.0483796 + 0.998829i \(0.515406\pi\)
\(62\) −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 −0.917793 0.397059i \(-0.870031\pi\)
0.726641 0.687017i \(-0.241080\pi\)
\(68\) 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 −0.965781 0.259359i \(-0.916489\pi\)
0.258279 0.966070i \(-0.416845\pi\)
\(72\) 319.456 + 583.268i 0.522893 + 0.954706i
\(73\) 21.1923 36.7062i 0.0339777 0.0588512i −0.848536 0.529137i \(-0.822516\pi\)
0.882514 + 0.470286i \(0.155849\pi\)
\(74\) −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 −0.905295 0.424782i \(-0.860351\pi\)
0.995984 0.0895356i \(-0.0285383\pi\)
\(80\) 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 −0.990733 0.135827i \(-0.956631\pi\)
0.977440 + 0.211215i \(0.0677421\pi\)
\(84\) 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 0.0321377 + 0.999483i \(0.489768\pi\)
−0.881647 + 0.471910i \(0.843565\pi\)
\(90\) −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 0.973421 0.229022i \(-0.0735528\pi\)
−0.0565098 + 0.998402i \(0.517997\pi\)
\(98\) −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 −0.124693 0.992195i \(-0.539795\pi\)
0.542250 + 0.840217i \(0.317573\pi\)
\(102\) −459.381 + 535.114i −0.445936 + 0.519452i
\(103\) −12.2315 + 10.2635i −0.0117011 + 0.00981835i −0.648619 0.761113i \(-0.724653\pi\)
0.636918 + 0.770931i \(0.280209\pi\)
\(104\) 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 0.256848 0.966452i \(-0.417316\pi\)
0.996370 0.0851232i \(-0.0271284\pi\)
\(114\) −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 −0.648927 0.760851i \(-0.724782\pi\)
0.983380 + 0.181562i \(0.0581152\pi\)
\(128\) 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 −0.163337 0.986570i \(-0.552226\pi\)
−0.759279 + 0.650766i \(0.774448\pi\)
\(132\) −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 0.934366 + 0.356316i \(0.115967\pi\)
−0.999884 + 0.0152557i \(0.995144\pi\)
\(138\) 3.75037 333.014i 0.00231342 0.205420i
\(139\) −896.762 326.395i −0.547211 0.199169i 0.0535958 0.998563i \(-0.482932\pi\)
−0.600807 + 0.799394i \(0.705154\pi\)
\(140\) −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 0.996886 + 0.0788619i \(0.0251286\pi\)
−0.909794 + 0.415061i \(0.863760\pi\)
\(150\) −1028.25 + 169.391i −0.559707 + 0.0922050i
\(151\) −309.263 259.503i −0.166672 0.139855i 0.555637 0.831425i \(-0.312475\pi\)
−0.722309 + 0.691571i \(0.756919\pi\)
\(152\) −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 −0.0247890 0.999693i \(-0.507891\pi\)
0.980201 + 0.198007i \(0.0634470\pi\)
\(158\) 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 −0.997823 0.0659466i \(-0.978993\pi\)
−0.108325 + 0.994115i \(0.534549\pi\)
\(168\) 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 0.781365 0.624075i \(-0.214524\pi\)
−0.478911 + 0.877863i \(0.658968\pi\)
\(174\) 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 0.990891 0.134666i \(-0.0429962\pi\)
−0.612070 + 0.790804i \(0.709663\pi\)
\(180\) −84.7081 + 424.290i −0.0350765 + 0.175693i
\(181\) −12.5828 + 21.7941i −0.00516726 + 0.00894996i −0.868597 0.495518i \(-0.834978\pi\)
0.863430 + 0.504468i \(0.168311\pi\)
\(182\) 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 −0.871893 0.489697i \(-0.837107\pi\)
0.986797 0.161960i \(-0.0517816\pi\)
\(192\) −2476.29 1467.11i −0.930784 0.551456i
\(193\) −2367.51 861.705i −0.882992 0.321383i −0.139575 0.990211i \(-0.544574\pi\)
−0.743417 + 0.668829i \(0.766796\pi\)
\(194\) −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 −0.653647 0.756800i \(-0.726762\pi\)
0.982231 + 0.187675i \(0.0600951\pi\)
\(198\) −376.683 2458.90i −0.135200 0.882556i
\(199\) −131.725 228.155i −0.0469234 0.0812738i 0.841610 0.540086i \(-0.181608\pi\)
−0.888533 + 0.458812i \(0.848275\pi\)
\(200\) −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 −0.0762648 0.997088i \(-0.524299\pi\)
0.968696 + 0.248249i \(0.0798550\pi\)
\(212\) 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 −0.708884 0.705325i \(-0.750801\pi\)
−0.0896619 + 0.995972i \(0.528579\pi\)
\(224\) −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 0.222078 0.975029i \(-0.428716\pi\)
−0.921653 + 0.388016i \(0.873160\pi\)
\(228\) −387.786 + 1029.22i −0.112639 + 0.298955i
\(229\) −365.834 2074.75i −0.105568 0.598704i −0.990992 0.133921i \(-0.957243\pi\)
0.885424 0.464784i \(-0.153868\pi\)
\(230\) 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 0.865599 + 0.500737i \(0.166938\pi\)
0.000851595 1.00000i \(0.499729\pi\)
\(234\) 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 0.267846 0.963462i \(-0.413688\pi\)
−0.414120 + 0.910223i \(0.635910\pi\)
\(240\) 1042.14 586.132i 0.280291 0.157645i
\(241\) −881.084 + 4996.88i −0.235501 + 1.33559i 0.606057 + 0.795422i \(0.292751\pi\)
−0.841557 + 0.540168i \(0.818361\pi\)
\(242\) −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 −0.728790 0.684737i \(-0.759917\pi\)
0.957395 + 0.288782i \(0.0932503\pi\)
\(252\) 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 −0.998459 0.0555014i \(-0.982324\pi\)
0.919262 0.393647i \(-0.128787\pi\)
\(258\) 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 −0.690045 0.723767i \(-0.742409\pi\)
−0.0633767 + 0.997990i \(0.520187\pi\)
\(264\) 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 −0.487994 0.872847i \(-0.662271\pi\)
0.187230 + 0.982316i \(0.440049\pi\)
\(278\) 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 0.735595 0.677421i \(-0.236903\pi\)
−0.539395 + 0.842053i \(0.681347\pi\)
\(282\) 3290.48 + 4012.35i 0.694841 + 0.847276i
\(283\) −255.320 1447.99i −0.0536297 0.304149i 0.946180 0.323640i \(-0.104907\pi\)
−0.999810 + 0.0194907i \(0.993796\pi\)
\(284\) −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 0.606254 0.795271i \(-0.292671\pi\)
−0.0467724 + 0.998906i \(0.514894\pi\)
\(294\) −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 0.514718 0.857359i \(-0.327897\pi\)
−0.999854 + 0.0170792i \(0.994563\pi\)
\(308\) −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 0.666052 + 0.745906i \(0.267983\pi\)
−0.370769 + 0.928725i \(0.620906\pi\)
\(312\) 9370.52 1543.68i 1.70032 0.280108i
\(313\) 2732.79 + 2293.08i 0.493503 + 0.414098i 0.855280 0.518166i \(-0.173385\pi\)
−0.361777 + 0.932265i \(0.617830\pi\)
\(314\) 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 −0.296975 0.954885i \(-0.595978\pi\)
0.386292 + 0.922376i \(0.373756\pi\)
\(318\) 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 0.328058 0.944658i \(-0.393606\pi\)
0.858521 + 0.512778i \(0.171384\pi\)
\(332\) −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 0.881243 + 0.472663i \(0.156707\pi\)
−0.666438 + 0.745561i \(0.732182\pi\)
\(338\) −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 −0.494267 0.869310i \(-0.664563\pi\)
−0.937412 + 0.348222i \(0.886786\pi\)
\(348\) 26.0630 2314.26i 0.00401472 0.356487i
\(349\) 517.464 2934.69i 0.0793674 0.450115i −0.919063 0.394110i \(-0.871053\pi\)
0.998431 0.0560046i \(-0.0178361\pi\)
\(350\) −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 0.188627 + 0.982049i \(0.439596\pi\)
−0.513131 + 0.858310i \(0.671515\pi\)
\(354\) −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 −0.103088 0.994672i \(-0.532872\pi\)
0.912955 0.408059i \(-0.133794\pi\)
\(360\) −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 0.840924 0.541152i \(-0.182012\pi\)
−0.386906 + 0.922119i \(0.626456\pi\)
\(368\) 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 −0.236339 + 0.971671i \(0.575948\pi\)
−0.997949 + 0.0640196i \(0.979608\pi\)
\(374\) 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 −0.150747 0.988572i \(-0.548168\pi\)
0.947377 + 0.320121i \(0.103724\pi\)
\(384\) 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 0.795769 0.605600i \(-0.207067\pi\)
−0.458216 + 0.888841i \(0.651511\pi\)
\(390\) −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 −0.796923 0.604082i \(-0.793540\pi\)
0.921611 + 0.388114i \(0.126873\pi\)
\(398\) 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 0.690974 0.722879i \(-0.257182\pi\)
0.0646593 + 0.997907i \(0.479404\pi\)
\(402\) 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 0.158836 0.987305i \(-0.449226\pi\)
−0.512952 + 0.858417i \(0.671448\pi\)
\(410\) 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 0.867352 + 0.497695i \(0.165820\pi\)
−0.644823 + 0.764332i \(0.723069\pi\)
\(420\) −79.3519 + 210.607i −0.00921899 + 0.0244680i
\(421\) 973.947 + 817.239i 0.112749 + 0.0946075i 0.697419 0.716664i \(-0.254332\pi\)
−0.584670 + 0.811271i \(0.698776\pi\)
\(422\) 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 −0.313186 0.949692i \(-0.601396\pi\)
0.370536 + 0.928818i \(0.379174\pi\)
\(440\) −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 −0.936431 0.350851i \(-0.885892\pi\)
−0.508130 0.861280i \(-0.669663\pi\)
\(444\) 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 0.672679 0.739934i \(-0.265144\pi\)
−0.977142 + 0.212590i \(0.931810\pi\)
\(450\) −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 −0.990733 0.135825i \(-0.956632\pi\)
0.977439 + 0.211217i \(0.0677428\pi\)
\(458\) 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 0.703774 + 0.710424i \(0.251497\pi\)
−0.904310 + 0.426876i \(0.859614\pi\)
\(462\) 14.5717 1293.89i 0.00146739 0.130297i
\(463\) −6328.14 2303.25i −0.635191 0.231191i 0.00429807 0.999991i \(-0.498632\pi\)
−0.639489 + 0.768800i \(0.720854\pi\)
\(464\) −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 −0.900925 0.433975i \(-0.857111\pi\)
0.826296 + 0.563236i \(0.190444\pi\)
\(468\) −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 −0.669666 0.742663i \(-0.733563\pi\)
−0.0356191 + 0.999365i \(0.511340\pi\)
\(480\) −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 −0.940319 0.340293i \(-0.889474\pi\)
0.171839 + 0.985125i \(0.445029\pi\)
\(492\) 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 0.824314 + 0.566133i \(0.191561\pi\)
−0.580973 + 0.813923i \(0.697328\pi\)
\(500\) −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 0.869656 + 0.493659i \(0.164341\pi\)
−0.00730688 + 0.999973i \(0.502326\pi\)
\(504\) 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 −0.264580 0.964364i \(-0.585233\pi\)
−0.822561 + 0.568677i \(0.807456\pi\)
\(510\) 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 −0.786767 0.617250i \(-0.788247\pi\)
0.927938 + 0.372735i \(0.121580\pi\)
\(522\) 8519.01 6827.35i 0.714305 0.572461i
\(523\) 5383.99 + 9325.34i 0.450144 + 0.779672i 0.998395 0.0566419i \(-0.0180393\pi\)
−0.548251 + 0.836314i \(0.684706\pi\)
\(524\) −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 −0.0431962 0.999067i \(-0.513754\pi\)
0.609097 + 0.793095i \(0.291532\pi\)
\(548\) −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 −0.993641 0.112597i \(-0.964083\pi\)
0.399309 0.916817i \(-0.369250\pi\)
\(558\) 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 0.222964 0.974827i \(-0.428427\pi\)
−0.455806 + 0.890079i \(0.650649\pi\)
\(564\) 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 −0.769781 0.638308i \(-0.779635\pi\)
0.941672 0.336532i \(-0.109254\pi\)
\(570\) 5431.49 3054.84i 0.399123 0.224479i
\(571\) 20350.2 + 7406.86i 1.49147 + 0.542850i 0.953836 0.300328i \(-0.0970962\pi\)
0.537633 + 0.843179i \(0.319318\pi\)
\(572\) −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 −0.999999 0.00103001i \(-0.999672\pi\)
0.499108 0.866540i \(-0.333661\pi\)
\(578\) 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 −0.208561 0.978009i \(-0.566878\pi\)
0.468885 + 0.883259i \(0.344656\pi\)
\(588\) −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 −0.514744 0.857344i \(-0.672113\pi\)
0.754935 + 0.655800i \(0.227669\pi\)
\(600\) −10822.9 2034.30i −0.736407 0.138417i
\(601\) −12007.3 + 4370.29i −0.814954 + 0.296619i −0.715669 0.698440i \(-0.753878\pi\)
−0.0992853 + 0.995059i \(0.531656\pi\)
\(602\) 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 0.541637 + 0.840612i \(0.317805\pi\)
−0.221466 + 0.975168i \(0.571084\pi\)
\(608\) −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 0.0742512 0.997240i \(-0.476343\pi\)
0.826509 0.562923i \(-0.190323\pi\)
\(614\) 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 −0.0521276 0.998640i \(-0.516600\pi\)
−0.681846 + 0.731496i \(0.738822\pi\)
\(618\) −166.371 98.5692i −0.0108292 0.00641591i
\(619\) −3036.42 + 17220.4i −0.197163 + 1.11817i 0.712141 + 0.702036i \(0.247726\pi\)
−0.909304 + 0.416132i \(0.863386\pi\)
\(620\) −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 0.999980 0.00639327i \(-0.00203505\pi\)
−0.505527 + 0.862811i \(0.668702\pi\)
\(632\) 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 −0.662999 0.748620i \(-0.730717\pi\)
−0.0266830 + 0.999644i \(0.508494\pi\)
\(642\) 764.896 + 2177.52i 0.0470218 + 0.133863i
\(643\) −1791.00 + 1502.83i −0.109845 + 0.0921707i −0.696056 0.717988i \(-0.745063\pi\)
0.586211 + 0.810158i \(0.300619\pi\)
\(644\) −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 −0.0893659 0.995999i \(-0.528484\pi\)
0.965349 + 0.260962i \(0.0840396\pi\)
\(654\) −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 0.506783 0.862073i \(-0.330834\pi\)
−0.760975 + 0.648782i \(0.775279\pi\)
\(660\) 3247.63 535.008i 0.191536 0.0315533i
\(661\) −3251.84 18442.1i −0.191349 1.08519i −0.917523 0.397683i \(-0.869814\pi\)
0.726174 0.687511i \(-0.241297\pi\)
\(662\) 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 −0.940443 0.339952i \(-0.889589\pi\)
0.999998 + 0.00219950i \(0.000700122\pi\)
\(674\) −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 0.698010 + 0.716088i \(0.254069\pi\)
−0.900832 + 0.434169i \(0.857042\pi\)
\(678\) 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 −0.977432 0.211252i \(-0.932246\pi\)
0.671666 + 0.740854i \(0.265579\pi\)
\(684\) 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 0.660467 0.750855i \(-0.270358\pi\)
−0.624759 + 0.780818i \(0.714803\pi\)
\(692\) 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 −0.401197 0.915992i \(-0.631406\pi\)
0.281453 + 0.959575i \(0.409184\pi\)
\(710\) −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 0.917075 0.398714i \(-0.130543\pi\)
−0.803834 + 0.594853i \(0.797210\pi\)
\(720\) 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 −0.993145 0.116893i \(-0.962707\pi\)
0.973230 + 0.229832i \(0.0738178\pi\)
\(728\) 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 0.619484 0.785009i \(-0.287342\pi\)
−0.0300420 + 0.999549i \(0.509564\pi\)
\(734\) −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 −0.769207 0.639000i \(-0.779348\pi\)
−0.168787 0.985653i \(-0.553985\pi\)
\(740\) −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 −0.998798 0.0490183i \(-0.984391\pi\)
0.921798 0.387671i \(-0.126720\pi\)
\(744\) −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 −0.928738 0.370736i \(-0.879105\pi\)
0.203830 + 0.979006i \(0.434661\pi\)
\(752\) −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