Properties

Label 225.4.u.a.4.8
Level $225$
Weight $4$
Character 225.4
Analytic conductor $13.275$
Analytic rank $0$
Dimension $704$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 225 = 3^{2} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 225.u (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.2754297513\)
Analytic rank: \(0\)
Dimension: \(704\)
Relative dimension: \(88\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 4.8
Character \(\chi\) \(=\) 225.4
Dual form 225.4.u.a.169.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.04294 - 4.90666i) q^{2} +(2.73456 - 4.41839i) q^{3} +(-15.6792 + 6.98082i) q^{4} +(10.5280 - 3.76300i) q^{5} +(-24.5315 - 8.80939i) q^{6} +(16.9358 - 9.77791i) q^{7} +(27.0170 + 37.1857i) q^{8} +(-12.0444 - 24.1647i) q^{9} +O(q^{10})\) \(q+(-1.04294 - 4.90666i) q^{2} +(2.73456 - 4.41839i) q^{3} +(-15.6792 + 6.98082i) q^{4} +(10.5280 - 3.76300i) q^{5} +(-24.5315 - 8.80939i) q^{6} +(16.9358 - 9.77791i) q^{7} +(27.0170 + 37.1857i) q^{8} +(-12.0444 - 24.1647i) q^{9} +(-29.4439 - 47.7329i) q^{10} +(-49.8104 + 10.5875i) q^{11} +(-12.0316 + 88.3662i) q^{12} +(5.10062 - 23.9965i) q^{13} +(-65.6399 - 72.9005i) q^{14} +(12.1631 - 56.8072i) q^{15} +(62.4061 - 69.3090i) q^{16} +(-22.0567 - 30.3584i) q^{17} +(-106.006 + 84.3002i) q^{18} +(-20.1305 + 14.6256i) q^{19} +(-138.802 + 132.495i) q^{20} +(3.10932 - 101.567i) q^{21} +(103.899 + 233.360i) q^{22} +(-123.570 + 111.263i) q^{23} +(238.181 - 17.6854i) q^{24} +(96.6797 - 79.2341i) q^{25} -123.062 q^{26} +(-139.705 - 12.8627i) q^{27} +(-197.282 + 271.536i) q^{28} +(30.2391 - 287.706i) q^{29} +(-291.419 - 0.433606i) q^{30} +(13.1398 + 125.016i) q^{31} +(-86.7129 - 50.0637i) q^{32} +(-89.4295 + 249.034i) q^{33} +(-125.954 + 139.887i) q^{34} +(141.507 - 166.672i) q^{35} +(357.536 + 294.803i) q^{36} +(213.259 - 69.2920i) q^{37} +(92.7579 + 83.5196i) q^{38} +(-92.0782 - 88.1564i) q^{39} +(424.366 + 289.828i) q^{40} +(-42.6416 - 9.06376i) q^{41} +(-501.599 + 90.6726i) q^{42} +(425.833 - 245.855i) q^{43} +(707.077 - 513.721i) q^{44} +(-217.736 - 209.084i) q^{45} +(674.806 + 490.275i) q^{46} +(319.583 + 33.5895i) q^{47} +(-135.582 - 465.264i) q^{48} +(19.7150 - 34.1474i) q^{49} +(-489.606 - 391.737i) q^{50} +(-194.451 + 14.4383i) q^{51} +(87.5420 + 411.853i) q^{52} +(-67.1039 + 92.3607i) q^{53} +(82.5917 + 698.900i) q^{54} +(-484.566 + 298.903i) q^{55} +(821.155 + 365.602i) q^{56} +(9.57398 + 128.939i) q^{57} +(-1443.21 + 151.688i) q^{58} +(-326.041 - 69.3021i) q^{59} +(205.853 + 975.599i) q^{60} +(262.214 - 55.7354i) q^{61} +(599.709 - 194.857i) q^{62} +(-440.262 - 291.480i) q^{63} +(75.3536 - 231.915i) q^{64} +(-36.5994 - 271.830i) q^{65} +(1315.20 + 179.071i) q^{66} +(167.085 - 17.5614i) q^{67} +(557.757 + 322.021i) q^{68} +(153.695 + 850.237i) q^{69} +(-965.385 - 520.497i) q^{70} +(773.376 + 561.891i) q^{71} +(573.177 - 1100.74i) q^{72} +(-977.384 - 317.571i) q^{73} +(-562.408 - 974.120i) q^{74} +(-85.7116 - 643.839i) q^{75} +(213.530 - 369.845i) q^{76} +(-740.057 + 666.351i) q^{77} +(-336.521 + 543.738i) q^{78} +(-47.6485 + 453.345i) q^{79} +(396.205 - 964.523i) q^{80} +(-438.864 + 582.099i) q^{81} +218.681i q^{82} +(316.044 - 709.846i) q^{83} +(660.272 + 1614.20i) q^{84} +(-346.452 - 236.616i) q^{85} +(-1650.45 - 1833.01i) q^{86} +(-1188.51 - 920.356i) q^{87} +(-1739.43 - 1566.19i) q^{88} +(-170.119 + 523.571i) q^{89} +(-798.817 + 1286.42i) q^{90} +(-148.253 - 456.275i) q^{91} +(1160.77 - 2607.13i) q^{92} +(588.303 + 283.808i) q^{93} +(-168.494 - 1603.11i) q^{94} +(-156.898 + 229.730i) q^{95} +(-458.323 + 246.230i) q^{96} +(541.130 + 56.8750i) q^{97} +(-188.111 - 61.1210i) q^{98} +(855.782 + 1076.13i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} + O(q^{10}) \) \( 704 q - 5 q^{2} - 10 q^{3} - 347 q^{4} + 12 q^{5} + 10 q^{6} - 20 q^{8} - 38 q^{9} - 91 q^{11} + 150 q^{12} - 5 q^{13} + 61 q^{14} - 363 q^{15} + 1293 q^{16} - 20 q^{17} - 12 q^{19} + q^{20} - 135 q^{21} - 5 q^{22} - 5 q^{23} - 250 q^{24} + 284 q^{25} - 2496 q^{26} - 340 q^{27} - 660 q^{28} + 345 q^{29} + 56 q^{30} + 33 q^{31} + 790 q^{33} - 19 q^{34} - 736 q^{35} - 852 q^{36} - 20 q^{37} - 3015 q^{38} + 500 q^{39} - 49 q^{40} - 659 q^{41} - 1790 q^{42} - 1996 q^{44} - 1083 q^{45} + 20 q^{46} - 955 q^{47} - 6225 q^{48} + 14888 q^{49} - 563 q^{50} + 204 q^{51} - 45 q^{52} - 20 q^{53} - 17 q^{54} - 50 q^{55} - 590 q^{56} - 5 q^{58} + 915 q^{59} - 2153 q^{60} - 3 q^{61} + 4900 q^{62} + 2385 q^{63} + 9156 q^{64} + 456 q^{65} - 3514 q^{66} + 1525 q^{67} - 476 q^{69} + 1254 q^{70} + 2432 q^{71} - 5090 q^{72} - 20 q^{73} - 3830 q^{74} - 4343 q^{75} + 152 q^{76} - 715 q^{77} - 1330 q^{78} - 255 q^{79} + 4778 q^{80} + 786 q^{81} - 145 q^{83} - 5595 q^{84} + 699 q^{85} - 4551 q^{86} - 6260 q^{87} - 5 q^{88} + 116 q^{89} + 3097 q^{90} - 2070 q^{91} + 12395 q^{92} - 2455 q^{94} + 1687 q^{95} - 5225 q^{96} - 5 q^{97} - 3370 q^{98} - 30 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{10}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.04294 4.90666i −0.368736 1.73476i −0.636497 0.771279i \(-0.719617\pi\)
0.267761 0.963485i \(-0.413716\pi\)
\(3\) 2.73456 4.41839i 0.526265 0.850320i
\(4\) −15.6792 + 6.98082i −1.95990 + 0.872603i
\(5\) 10.5280 3.76300i 0.941657 0.336573i
\(6\) −24.5315 8.80939i −1.66916 0.599403i
\(7\) 16.9358 9.77791i 0.914449 0.527957i 0.0325892 0.999469i \(-0.489625\pi\)
0.881860 + 0.471511i \(0.156291\pi\)
\(8\) 27.0170 + 37.1857i 1.19399 + 1.64339i
\(9\) −12.0444 24.1647i −0.446090 0.894988i
\(10\) −29.4439 47.7329i −0.931097 1.50945i
\(11\) −49.8104 + 10.5875i −1.36531 + 0.290206i −0.831559 0.555436i \(-0.812551\pi\)
−0.533751 + 0.845642i \(0.679218\pi\)
\(12\) −12.0316 + 88.3662i −0.289434 + 2.12576i
\(13\) 5.10062 23.9965i 0.108820 0.511957i −0.889649 0.456645i \(-0.849051\pi\)
0.998469 0.0553126i \(-0.0176155\pi\)
\(14\) −65.6399 72.9005i −1.25307 1.39168i
\(15\) 12.1631 56.8072i 0.209367 0.977837i
\(16\) 62.4061 69.3090i 0.975096 1.08295i
\(17\) −22.0567 30.3584i −0.314678 0.433117i 0.622155 0.782894i \(-0.286257\pi\)
−0.936833 + 0.349777i \(0.886257\pi\)
\(18\) −106.006 + 84.3002i −1.38811 + 1.10387i
\(19\) −20.1305 + 14.6256i −0.243066 + 0.176597i −0.702648 0.711538i \(-0.747999\pi\)
0.459582 + 0.888135i \(0.347999\pi\)
\(20\) −138.802 + 132.495i −1.55186 + 1.48134i
\(21\) 3.10932 101.567i 0.0323099 1.05542i
\(22\) 103.899 + 233.360i 1.00688 + 2.26148i
\(23\) −123.570 + 111.263i −1.12027 + 1.00869i −0.120395 + 0.992726i \(0.538416\pi\)
−0.999873 + 0.0159677i \(0.994917\pi\)
\(24\) 238.181 17.6854i 2.02577 0.150417i
\(25\) 96.6797 79.2341i 0.773437 0.633873i
\(26\) −123.062 −0.928251
\(27\) −139.705 12.8627i −0.995788 0.0916823i
\(28\) −197.282 + 271.536i −1.33153 + 1.83269i
\(29\) 30.2391 287.706i 0.193630 1.84226i −0.278138 0.960541i \(-0.589717\pi\)
0.471768 0.881723i \(-0.343616\pi\)
\(30\) −291.419 0.433606i −1.77352 0.00263884i
\(31\) 13.1398 + 125.016i 0.0761281 + 0.724310i 0.964302 + 0.264803i \(0.0853071\pi\)
−0.888174 + 0.459507i \(0.848026\pi\)
\(32\) −86.7129 50.0637i −0.479026 0.276566i
\(33\) −89.4295 + 249.034i −0.471748 + 1.31368i
\(34\) −125.954 + 139.887i −0.635324 + 0.705598i
\(35\) 141.507 166.672i 0.683402 0.804934i
\(36\) 357.536 + 294.803i 1.65526 + 1.36483i
\(37\) 213.259 69.2920i 0.947555 0.307879i 0.205833 0.978587i \(-0.434010\pi\)
0.741722 + 0.670708i \(0.234010\pi\)
\(38\) 92.7579 + 83.5196i 0.395982 + 0.356544i
\(39\) −92.0782 88.1564i −0.378059 0.361957i
\(40\) 424.366 + 289.828i 1.67746 + 1.14565i
\(41\) −42.6416 9.06376i −0.162427 0.0345249i 0.125980 0.992033i \(-0.459792\pi\)
−0.288407 + 0.957508i \(0.593126\pi\)
\(42\) −501.599 + 90.6726i −1.84282 + 0.333121i
\(43\) 425.833 245.855i 1.51021 0.871920i 0.510280 0.860008i \(-0.329542\pi\)
0.999929 0.0119111i \(-0.00379150\pi\)
\(44\) 707.077 513.721i 2.42263 1.76015i
\(45\) −217.736 209.084i −0.721292 0.692631i
\(46\) 674.806 + 490.275i 2.16293 + 1.57146i
\(47\) 319.583 + 33.5895i 0.991828 + 0.104245i 0.586520 0.809935i \(-0.300498\pi\)
0.405308 + 0.914180i \(0.367164\pi\)
\(48\) −135.582 465.264i −0.407698 1.39906i
\(49\) 19.7150 34.1474i 0.0574781 0.0995551i
\(50\) −489.606 391.737i −1.38481 1.10800i
\(51\) −194.451 + 14.4383i −0.533893 + 0.0396426i
\(52\) 87.5420 + 411.853i 0.233459 + 1.09834i
\(53\) −67.1039 + 92.3607i −0.173914 + 0.239372i −0.887072 0.461631i \(-0.847264\pi\)
0.713158 + 0.701003i \(0.247264\pi\)
\(54\) 82.5917 + 698.900i 0.208135 + 1.76126i
\(55\) −484.566 + 298.903i −1.18798 + 0.732801i
\(56\) 821.155 + 365.602i 1.95949 + 0.872421i
\(57\) 9.57398 + 128.939i 0.0222474 + 0.299621i
\(58\) −1443.21 + 151.688i −3.26729 + 0.343406i
\(59\) −326.041 69.3021i −0.719439 0.152921i −0.166378 0.986062i \(-0.553207\pi\)
−0.553061 + 0.833141i \(0.686540\pi\)
\(60\) 205.853 + 975.599i 0.442926 + 2.09915i
\(61\) 262.214 55.7354i 0.550379 0.116987i 0.0756754 0.997133i \(-0.475889\pi\)
0.474703 + 0.880146i \(0.342555\pi\)
\(62\) 599.709 194.857i 1.22844 0.399143i
\(63\) −440.262 291.480i −0.880442 0.582905i
\(64\) 75.3536 231.915i 0.147175 0.452958i
\(65\) −36.5994 271.830i −0.0698399 0.518714i
\(66\) 1315.20 + 179.071i 2.45287 + 0.333972i
\(67\) 167.085 17.5614i 0.304668 0.0320219i 0.0490389 0.998797i \(-0.484384\pi\)
0.255629 + 0.966775i \(0.417718\pi\)
\(68\) 557.757 + 322.021i 0.994676 + 0.574276i
\(69\) 153.695 + 850.237i 0.268155 + 1.48343i
\(70\) −965.385 520.497i −1.64837 0.888733i
\(71\) 773.376 + 561.891i 1.29272 + 0.939214i 0.999856 0.0169416i \(-0.00539295\pi\)
0.292860 + 0.956155i \(0.405393\pi\)
\(72\) 573.177 1100.74i 0.938189 1.80171i
\(73\) −977.384 317.571i −1.56704 0.509163i −0.608365 0.793657i \(-0.708174\pi\)
−0.958678 + 0.284494i \(0.908174\pi\)
\(74\) −562.408 974.120i −0.883495 1.53026i
\(75\) −85.7116 643.839i −0.131962 0.991255i
\(76\) 213.530 369.845i 0.322284 0.558213i
\(77\) −740.057 + 666.351i −1.09529 + 0.986204i
\(78\) −336.521 + 543.738i −0.488506 + 0.789311i
\(79\) −47.6485 + 453.345i −0.0678592 + 0.645637i 0.906741 + 0.421687i \(0.138562\pi\)
−0.974601 + 0.223950i \(0.928105\pi\)
\(80\) 396.205 964.523i 0.553713 1.34796i
\(81\) −438.864 + 582.099i −0.602008 + 0.798490i
\(82\) 218.681i 0.294503i
\(83\) 316.044 709.846i 0.417956 0.938744i −0.574767 0.818317i \(-0.694907\pi\)
0.992722 0.120426i \(-0.0384262\pi\)
\(84\) 660.272 + 1614.20i 0.857638 + 2.09671i
\(85\) −346.452 236.616i −0.442095 0.301936i
\(86\) −1650.45 1833.01i −2.06944 2.29835i
\(87\) −1188.51 920.356i −1.46461 1.13417i
\(88\) −1739.43 1566.19i −2.10709 1.89724i
\(89\) −170.119 + 523.571i −0.202613 + 0.623578i 0.797190 + 0.603728i \(0.206319\pi\)
−0.999803 + 0.0198498i \(0.993681\pi\)
\(90\) −798.817 + 1286.42i −0.935585 + 1.50667i
\(91\) −148.253 456.275i −0.170781 0.525611i
\(92\) 1160.77 2607.13i 1.31542 2.95448i
\(93\) 588.303 + 283.808i 0.655959 + 0.316446i
\(94\) −168.494 1603.11i −0.184881 1.75903i
\(95\) −156.898 + 229.730i −0.169447 + 0.248104i
\(96\) −458.323 + 246.230i −0.487264 + 0.261778i
\(97\) 541.130 + 56.8750i 0.566427 + 0.0595338i 0.383414 0.923577i \(-0.374748\pi\)
0.183013 + 0.983111i \(0.441415\pi\)
\(98\) −188.111 61.1210i −0.193899 0.0630016i
\(99\) 855.782 + 1076.13i 0.868781 + 1.09248i
\(100\) −962.739 + 1917.23i −0.962739 + 1.91723i
\(101\) −542.094 938.934i −0.534063 0.925024i −0.999208 0.0397894i \(-0.987331\pi\)
0.465145 0.885234i \(-0.346002\pi\)
\(102\) 273.645 + 939.044i 0.265636 + 0.911560i
\(103\) 241.919 + 543.359i 0.231427 + 0.519793i 0.991510 0.130033i \(-0.0415083\pi\)
−0.760083 + 0.649826i \(0.774842\pi\)
\(104\) 1030.13 458.645i 0.971277 0.432440i
\(105\) −349.463 1081.01i −0.324801 1.00472i
\(106\) 523.167 + 232.929i 0.479382 + 0.213435i
\(107\) 1812.02i 1.63715i −0.574403 0.818573i \(-0.694766\pi\)
0.574403 0.818573i \(-0.305234\pi\)
\(108\) 2280.26 773.581i 2.03165 0.689239i
\(109\) −23.0877 71.0568i −0.0202881 0.0624404i 0.940400 0.340071i \(-0.110451\pi\)
−0.960688 + 0.277630i \(0.910451\pi\)
\(110\) 1971.99 + 2065.86i 1.70929 + 1.79065i
\(111\) 277.009 1131.74i 0.236869 0.967751i
\(112\) 379.203 1784.01i 0.319922 1.50512i
\(113\) 107.410 505.324i 0.0894183 0.420680i −0.910555 0.413388i \(-0.864345\pi\)
0.999973 0.00729239i \(-0.00232126\pi\)
\(114\) 622.674 181.452i 0.511568 0.149075i
\(115\) −882.270 + 1636.38i −0.715410 + 1.32690i
\(116\) 1534.30 + 4722.09i 1.22807 + 3.77961i
\(117\) −641.303 + 165.769i −0.506739 + 0.130986i
\(118\) 1672.05i 1.30444i
\(119\) −670.390 298.477i −0.516425 0.229927i
\(120\) 2441.03 1082.47i 1.85695 0.823461i
\(121\) 1153.05 513.373i 0.866306 0.385704i
\(122\) −546.949 1228.47i −0.405888 0.911640i
\(123\) −156.653 + 163.622i −0.114837 + 0.119946i
\(124\) −1078.74 1868.43i −0.781238 1.35314i
\(125\) 719.690 1197.99i 0.514969 0.857209i
\(126\) −971.023 + 2464.21i −0.686553 + 1.74230i
\(127\) 2485.08 + 807.452i 1.73634 + 0.564172i 0.994342 0.106228i \(-0.0338773\pi\)
0.742000 + 0.670400i \(0.233877\pi\)
\(128\) −2013.15 211.590i −1.39015 0.146110i
\(129\) 78.1804 2553.80i 0.0533597 1.74302i
\(130\) −1295.61 + 463.084i −0.874094 + 0.312424i
\(131\) −196.154 1866.28i −0.130825 1.24471i −0.841135 0.540825i \(-0.818112\pi\)
0.710310 0.703889i \(-0.248555\pi\)
\(132\) −336.283 4528.94i −0.221740 2.98632i
\(133\) −197.918 + 444.531i −0.129035 + 0.289818i
\(134\) −260.428 801.515i −0.167892 0.516719i
\(135\) −1519.23 + 390.292i −0.968549 + 0.248822i
\(136\) 532.994 1640.39i 0.336058 1.03428i
\(137\) −1637.11 1474.06i −1.02093 0.919250i −0.0241726 0.999708i \(-0.507695\pi\)
−0.996758 + 0.0804577i \(0.974362\pi\)
\(138\) 4011.52 1640.87i 2.47452 1.01218i
\(139\) 289.432 + 321.447i 0.176614 + 0.196149i 0.824952 0.565203i \(-0.191202\pi\)
−0.648338 + 0.761353i \(0.724536\pi\)
\(140\) −1055.21 + 3601.11i −0.637010 + 2.17393i
\(141\) 1022.33 1320.19i 0.610607 0.788511i
\(142\) 1950.42 4380.71i 1.15264 2.58888i
\(143\) 1249.28i 0.730560i
\(144\) −2426.48 673.238i −1.40421 0.389605i
\(145\) −764.278 3142.77i −0.437723 1.79995i
\(146\) −538.858 + 5126.90i −0.305454 + 2.90620i
\(147\) −96.9649 180.487i −0.0544049 0.101267i
\(148\) −2860.01 + 2575.16i −1.58845 + 1.43025i
\(149\) −754.614 + 1307.03i −0.414902 + 0.718631i −0.995418 0.0956173i \(-0.969517\pi\)
0.580516 + 0.814249i \(0.302851\pi\)
\(150\) −3069.70 + 1092.04i −1.67093 + 0.594433i
\(151\) −686.015 1188.21i −0.369716 0.640367i 0.619805 0.784756i \(-0.287212\pi\)
−0.989521 + 0.144389i \(0.953878\pi\)
\(152\) −1087.73 353.425i −0.580438 0.188596i
\(153\) −467.941 + 898.642i −0.247260 + 0.474842i
\(154\) 4041.39 + 2936.24i 2.11470 + 1.53642i
\(155\) 608.773 + 1266.73i 0.315470 + 0.656429i
\(156\) 2059.12 + 739.439i 1.05680 + 0.379503i
\(157\) 1569.57 + 906.194i 0.797870 + 0.460650i 0.842726 0.538343i \(-0.180950\pi\)
−0.0448558 + 0.998993i \(0.514283\pi\)
\(158\) 2274.10 239.018i 1.14505 0.120350i
\(159\) 224.586 + 549.057i 0.112018 + 0.273856i
\(160\) −1101.31 200.773i −0.544163 0.0992030i
\(161\) −1004.84 + 3092.59i −0.491881 + 1.51385i
\(162\) 3313.87 + 1546.26i 1.60717 + 0.749911i
\(163\) −844.254 + 274.315i −0.405687 + 0.131816i −0.504750 0.863265i \(-0.668415\pi\)
0.0990629 + 0.995081i \(0.468415\pi\)
\(164\) 731.858 155.561i 0.348467 0.0740689i
\(165\) −4.40180 + 2958.37i −0.00207684 + 1.39581i
\(166\) −3812.59 810.390i −1.78261 0.378906i
\(167\) 2409.78 253.278i 1.11661 0.117361i 0.471804 0.881704i \(-0.343603\pi\)
0.644810 + 0.764343i \(0.276936\pi\)
\(168\) 3860.86 2628.43i 1.77305 1.20707i
\(169\) 1457.24 + 648.806i 0.663287 + 0.295314i
\(170\) −799.661 + 1946.70i −0.360772 + 0.878265i
\(171\) 595.884 + 310.289i 0.266482 + 0.138763i
\(172\) −4960.45 + 6827.47i −2.19902 + 3.02668i
\(173\) 416.584 + 1959.87i 0.183077 + 0.861309i 0.969781 + 0.243978i \(0.0784525\pi\)
−0.786704 + 0.617330i \(0.788214\pi\)
\(174\) −3276.33 + 6791.48i −1.42746 + 2.95897i
\(175\) 862.607 2287.22i 0.372611 0.987986i
\(176\) −2374.66 + 4113.04i −1.01703 + 1.76155i
\(177\) −1197.78 + 1251.07i −0.508648 + 0.531276i
\(178\) 2746.41 + 288.659i 1.15647 + 0.121550i
\(179\) −730.750 530.921i −0.305133 0.221692i 0.424672 0.905347i \(-0.360389\pi\)
−0.729805 + 0.683655i \(0.760389\pi\)
\(180\) 4873.50 + 1758.29i 2.01805 + 0.728084i
\(181\) 1031.05 749.104i 0.423412 0.307627i −0.355597 0.934639i \(-0.615723\pi\)
0.779009 + 0.627013i \(0.215723\pi\)
\(182\) −2084.16 + 1203.29i −0.848838 + 0.490077i
\(183\) 470.779 1310.98i 0.190169 0.529564i
\(184\) −7475.90 1589.05i −2.99527 0.636665i
\(185\) 1984.45 1532.00i 0.788648 0.608838i
\(186\) 778.980 3182.60i 0.307084 1.25462i
\(187\) 1420.07 + 1278.64i 0.555326 + 0.500018i
\(188\) −5245.28 + 1704.29i −2.03485 + 0.661162i
\(189\) −2491.79 + 1148.18i −0.959002 + 0.441895i
\(190\) 1290.84 + 530.250i 0.492882 + 0.202465i
\(191\) 1844.63 2048.67i 0.698812 0.776109i −0.284375 0.958713i \(-0.591786\pi\)
0.983186 + 0.182604i \(0.0584527\pi\)
\(192\) −818.631 967.125i −0.307706 0.363522i
\(193\) −2457.39 1418.78i −0.916513 0.529149i −0.0339921 0.999422i \(-0.510822\pi\)
−0.882521 + 0.470273i \(0.844155\pi\)
\(194\) −285.301 2714.45i −0.105584 1.00457i
\(195\) −1301.14 581.625i −0.477827 0.213595i
\(196\) −70.7383 + 673.030i −0.0257793 + 0.245273i
\(197\) −2746.09 + 3779.67i −0.993152 + 1.36696i −0.0637181 + 0.997968i \(0.520296\pi\)
−0.929434 + 0.368989i \(0.879704\pi\)
\(198\) 4387.68 5321.37i 1.57484 1.90997i
\(199\) 4174.61 1.48709 0.743544 0.668687i \(-0.233144\pi\)
0.743544 + 0.668687i \(0.233144\pi\)
\(200\) 5558.37 + 1454.44i 1.96518 + 0.514221i
\(201\) 379.311 786.272i 0.133107 0.275917i
\(202\) −4041.65 + 3639.12i −1.40777 + 1.26756i
\(203\) −2301.04 5168.22i −0.795572 1.78688i
\(204\) 2948.03 1583.81i 1.01178 0.543571i
\(205\) −483.040 + 65.0367i −0.164571 + 0.0221579i
\(206\) 2413.77 1753.70i 0.816384 0.593138i
\(207\) 4176.97 + 1645.94i 1.40251 + 0.552659i
\(208\) −1344.87 1851.05i −0.448316 0.617054i
\(209\) 847.858 941.641i 0.280610 0.311649i
\(210\) −4939.66 + 2842.12i −1.62319 + 0.933929i
\(211\) 502.788 + 558.402i 0.164044 + 0.182190i 0.819563 0.572990i \(-0.194216\pi\)
−0.655518 + 0.755179i \(0.727550\pi\)
\(212\) 407.382 1916.58i 0.131977 0.620902i
\(213\) 4597.50 1880.56i 1.47894 0.604948i
\(214\) −8890.96 + 1889.83i −2.84006 + 0.603674i
\(215\) 3558.04 4190.78i 1.12863 1.32934i
\(216\) −3296.11 5542.55i −1.03830 1.74594i
\(217\) 1444.93 + 1988.78i 0.452020 + 0.622152i
\(218\) −324.572 + 187.392i −0.100838 + 0.0582191i
\(219\) −4075.87 + 3450.05i −1.25763 + 1.06453i
\(220\) 5511.01 8069.22i 1.68887 2.47285i
\(221\) −840.999 + 374.437i −0.255981 + 0.113970i
\(222\) −5841.98 178.842i −1.76616 0.0540681i
\(223\) −79.0442 371.874i −0.0237363 0.111670i 0.964685 0.263408i \(-0.0848465\pi\)
−0.988421 + 0.151737i \(0.951513\pi\)
\(224\) −1958.07 −0.584060
\(225\) −3079.12 1381.91i −0.912331 0.409453i
\(226\) −2591.47 −0.762753
\(227\) 585.556 + 2754.82i 0.171210 + 0.805480i 0.976993 + 0.213270i \(0.0684113\pi\)
−0.805783 + 0.592211i \(0.798255\pi\)
\(228\) −1050.21 1954.82i −0.305053 0.567813i
\(229\) −1052.28 + 468.505i −0.303654 + 0.135195i −0.552907 0.833243i \(-0.686481\pi\)
0.249253 + 0.968438i \(0.419815\pi\)
\(230\) 8949.30 + 2622.35i 2.56565 + 0.751794i
\(231\) 920.472 + 5092.04i 0.262176 + 1.45035i
\(232\) 11515.5 6648.49i 3.25876 1.88144i
\(233\) −1813.85 2496.56i −0.509998 0.701952i 0.473921 0.880567i \(-0.342838\pi\)
−0.983919 + 0.178615i \(0.942838\pi\)
\(234\) 1482.22 + 2973.76i 0.414083 + 0.830774i
\(235\) 3490.98 848.958i 0.969049 0.235659i
\(236\) 5595.84 1189.43i 1.54347 0.328074i
\(237\) 1872.76 + 1450.23i 0.513287 + 0.397479i
\(238\) −765.345 + 3600.67i −0.208445 + 0.980658i
\(239\) 2046.08 + 2272.40i 0.553764 + 0.615018i 0.953419 0.301648i \(-0.0975367\pi\)
−0.399655 + 0.916666i \(0.630870\pi\)
\(240\) −3178.20 4388.13i −0.854800 1.18022i
\(241\) 2457.03 2728.81i 0.656726 0.729369i −0.319147 0.947705i \(-0.603396\pi\)
0.975874 + 0.218337i \(0.0700631\pi\)
\(242\) −3721.51 5122.22i −0.988544 1.36061i
\(243\) 1371.85 + 3530.86i 0.362156 + 0.932117i
\(244\) −3722.23 + 2704.36i −0.976603 + 0.709544i
\(245\) 79.0639 433.693i 0.0206172 0.113092i
\(246\) 966.218 + 597.995i 0.250422 + 0.154987i
\(247\) 248.287 + 557.661i 0.0639600 + 0.143656i
\(248\) −4293.83 + 3866.18i −1.09943 + 0.989931i
\(249\) −2272.14 3337.52i −0.578277 0.849425i
\(250\) −6628.70 2281.84i −1.67694 0.577266i
\(251\) 2916.00 0.733291 0.366646 0.930361i \(-0.380506\pi\)
0.366646 + 0.930361i \(0.380506\pi\)
\(252\) 8937.72 + 1496.77i 2.23422 + 0.374158i
\(253\) 4977.08 6850.36i 1.23678 1.70229i
\(254\) 1370.09 13035.6i 0.338454 3.22018i
\(255\) −1992.85 + 883.725i −0.489401 + 0.217024i
\(256\) 857.480 + 8158.38i 0.209346 + 1.99179i
\(257\) −745.583 430.463i −0.180966 0.104481i 0.406781 0.913526i \(-0.366651\pi\)
−0.587746 + 0.809045i \(0.699985\pi\)
\(258\) −12612.2 + 2279.86i −3.04341 + 0.550148i
\(259\) 2934.18 3258.74i 0.703944 0.781808i
\(260\) 2471.45 + 4006.58i 0.589510 + 0.955684i
\(261\) −7316.54 + 2734.53i −1.73518 + 0.648518i
\(262\) −8952.61 + 2908.88i −2.11105 + 0.685920i
\(263\) −3399.77 3061.17i −0.797106 0.717717i 0.166209 0.986091i \(-0.446847\pi\)
−0.963315 + 0.268373i \(0.913514\pi\)
\(264\) −11676.6 + 3402.66i −2.72215 + 0.793256i
\(265\) −358.921 + 1224.89i −0.0832012 + 0.283941i
\(266\) 2387.58 + 507.496i 0.550345 + 0.116980i
\(267\) 1848.15 + 2183.39i 0.423613 + 0.500453i
\(268\) −2497.17 + 1441.74i −0.569175 + 0.328613i
\(269\) −463.670 + 336.876i −0.105095 + 0.0763557i −0.639091 0.769131i \(-0.720689\pi\)
0.533997 + 0.845486i \(0.320689\pi\)
\(270\) 3499.49 + 7047.27i 0.788786 + 1.58846i
\(271\) 3255.08 + 2364.95i 0.729637 + 0.530113i 0.889449 0.457035i \(-0.151089\pi\)
−0.159811 + 0.987148i \(0.551089\pi\)
\(272\) −3480.58 365.824i −0.775887 0.0815490i
\(273\) −2421.41 592.670i −0.536814 0.131392i
\(274\) −5525.29 + 9570.08i −1.21823 + 2.11003i
\(275\) −3976.76 + 4970.28i −0.872028 + 1.08989i
\(276\) −8345.16 12258.1i −1.82000 2.67337i
\(277\) 1327.97 + 6247.62i 0.288051 + 1.35517i 0.849468 + 0.527641i \(0.176923\pi\)
−0.561416 + 0.827533i \(0.689743\pi\)
\(278\) 1275.37 1755.39i 0.275149 0.378711i
\(279\) 2862.72 1823.27i 0.614289 0.391241i
\(280\) 10020.9 + 759.067i 2.13880 + 0.162011i
\(281\) −1193.99 531.596i −0.253478 0.112855i 0.276065 0.961139i \(-0.410970\pi\)
−0.529542 + 0.848284i \(0.677636\pi\)
\(282\) −7543.95 3639.33i −1.59303 0.768507i
\(283\) −6490.64 + 682.194i −1.36335 + 0.143294i −0.757787 0.652502i \(-0.773719\pi\)
−0.605565 + 0.795796i \(0.707053\pi\)
\(284\) −16048.4 3411.19i −3.35315 0.712734i
\(285\) 585.993 + 1321.45i 0.121794 + 0.274652i
\(286\) 6129.79 1302.93i 1.26735 0.269384i
\(287\) −810.796 + 263.444i −0.166759 + 0.0541832i
\(288\) −165.368 + 2698.38i −0.0338346 + 0.552096i
\(289\) 1083.06 3333.33i 0.220449 0.678471i
\(290\) −14623.4 + 7027.78i −2.96109 + 1.42305i
\(291\) 1731.04 2235.40i 0.348714 0.450314i
\(292\) 17541.5 1843.68i 3.51554 0.369498i
\(293\) 3011.16 + 1738.49i 0.600389 + 0.346635i 0.769194 0.639015i \(-0.220658\pi\)
−0.168806 + 0.985649i \(0.553991\pi\)
\(294\) −784.457 + 664.010i −0.155614 + 0.131721i
\(295\) −3693.36 + 497.275i −0.728934 + 0.0981440i
\(296\) 8338.29 + 6058.12i 1.63734 + 1.18960i
\(297\) 7094.96 838.438i 1.38617 0.163809i
\(298\) 7200.17 + 2339.48i 1.39965 + 0.454772i
\(299\) 2039.64 + 3532.77i 0.394501 + 0.683295i
\(300\) 5838.41 + 9496.53i 1.12360 + 1.82761i
\(301\) 4807.90 8327.52i 0.920673 1.59465i
\(302\) −5114.68 + 4605.28i −0.974558 + 0.877496i
\(303\) −5630.96 172.382i −1.06763 0.0326835i
\(304\) −242.576 + 2307.95i −0.0457654 + 0.435428i
\(305\) 2550.87 1573.50i 0.478894 0.295404i
\(306\) 4897.36 + 1358.80i 0.914913 + 0.253847i
\(307\) 7015.93i 1.30430i −0.758090 0.652150i \(-0.773867\pi\)
0.758090 0.652150i \(-0.226133\pi\)
\(308\) 6951.82 15614.0i 1.28609 2.88861i
\(309\) 3062.31 + 416.951i 0.563783 + 0.0767622i
\(310\) 5580.51 4308.17i 1.02243 0.789315i
\(311\) −4048.98 4496.85i −0.738254 0.819914i 0.250712 0.968062i \(-0.419335\pi\)
−0.988965 + 0.148148i \(0.952669\pi\)
\(312\) 790.482 5805.72i 0.143437 1.05348i
\(313\) 2647.44 + 2383.76i 0.478089 + 0.430473i 0.872613 0.488412i \(-0.162424\pi\)
−0.394524 + 0.918886i \(0.629090\pi\)
\(314\) 2809.41 8646.46i 0.504917 1.55397i
\(315\) −5731.94 1412.01i −1.02526 0.252564i
\(316\) −2417.63 7440.71i −0.430388 1.32460i
\(317\) −3704.89 + 8321.31i −0.656426 + 1.47436i 0.211354 + 0.977410i \(0.432213\pi\)
−0.867780 + 0.496948i \(0.834454\pi\)
\(318\) 2459.80 1674.60i 0.433770 0.295305i
\(319\) 1539.87 + 14650.9i 0.270271 + 2.57145i
\(320\) −79.3678 2725.16i −0.0138650 0.476066i
\(321\) −8006.22 4955.07i −1.39210 0.861573i
\(322\) 16222.3 + 1705.03i 2.80755 + 0.295086i
\(323\) 888.022 + 288.536i 0.152975 + 0.0497045i
\(324\) 2817.50 12190.5i 0.483110 2.09027i
\(325\) −1408.22 2724.12i −0.240350 0.464945i
\(326\) 2226.48 + 3856.37i 0.378261 + 0.655167i
\(327\) −377.092 92.2979i −0.0637713 0.0156088i
\(328\) −815.007 1830.54i −0.137199 0.308154i
\(329\) 5740.84 2555.98i 0.962014 0.428316i
\(330\) 14520.3 3063.81i 2.42217 0.511082i
\(331\) −1017.66 453.090i −0.168989 0.0752388i 0.320499 0.947249i \(-0.396150\pi\)
−0.489488 + 0.872010i \(0.662816\pi\)
\(332\) 13336.0i 2.20455i
\(333\) −4243.00 4318.75i −0.698243 0.710709i
\(334\) −3756.01 11559.8i −0.615329 1.89379i
\(335\) 1693.00 813.630i 0.276115 0.132697i
\(336\) −6845.50 6553.93i −1.11147 1.06413i
\(337\) −422.749 + 1988.88i −0.0683341 + 0.321487i −0.999016 0.0443416i \(-0.985881\pi\)
0.930682 + 0.365828i \(0.119214\pi\)
\(338\) 1663.65 7826.85i 0.267724 1.25954i
\(339\) −1939.00 1856.41i −0.310655 0.297424i
\(340\) 7083.86 + 1291.42i 1.12993 + 0.205991i
\(341\) −1978.11 6088.00i −0.314137 0.966815i
\(342\) 901.010 3247.41i 0.142459 0.513450i
\(343\) 5936.56i 0.934531i
\(344\) 20647.0 + 9192.66i 3.23609 + 1.44080i
\(345\) 4817.55 + 8372.98i 0.751791 + 1.30663i
\(346\) 9181.95 4088.07i 1.42666 0.635190i
\(347\) 659.110 + 1480.38i 0.101968 + 0.229024i 0.957324 0.289017i \(-0.0933283\pi\)
−0.855356 + 0.518040i \(0.826662\pi\)
\(348\) 25059.7 + 6133.67i 3.86017 + 0.944825i
\(349\) −5171.76 8957.74i −0.793231 1.37392i −0.923956 0.382498i \(-0.875064\pi\)
0.130725 0.991419i \(-0.458270\pi\)
\(350\) −12122.3 1847.08i −1.85132 0.282087i
\(351\) −1021.24 + 3286.83i −0.155299 + 0.499824i
\(352\) 4849.26 + 1575.62i 0.734279 + 0.238582i
\(353\) −4817.07 506.294i −0.726308 0.0763380i −0.265843 0.964016i \(-0.585650\pi\)
−0.460464 + 0.887678i \(0.652317\pi\)
\(354\) 7387.77 + 4572.31i 1.10920 + 0.686484i
\(355\) 10256.5 + 3005.40i 1.53341 + 0.449324i
\(356\) −987.637 9396.74i −0.147036 1.39895i
\(357\) −3152.01 + 2145.85i −0.467288 + 0.318124i
\(358\) −1842.92 + 4139.26i −0.272070 + 0.611080i
\(359\) 3213.45 + 9889.97i 0.472421 + 1.45396i 0.849404 + 0.527743i \(0.176961\pi\)
−0.376983 + 0.926220i \(0.623039\pi\)
\(360\) 1892.36 13745.5i 0.277045 2.01236i
\(361\) −1928.22 + 5934.45i −0.281123 + 0.865207i
\(362\) −4750.92 4277.75i −0.689787 0.621087i
\(363\) 884.806 6498.49i 0.127935 0.939621i
\(364\) 5509.65 + 6119.09i 0.793363 + 0.881119i
\(365\) −11485.0 + 334.489i −1.64699 + 0.0479670i
\(366\) −6923.51 942.675i −0.988792 0.134630i
\(367\) −2973.73 + 6679.12i −0.422964 + 0.949992i 0.568867 + 0.822430i \(0.307382\pi\)
−0.991831 + 0.127562i \(0.959285\pi\)
\(368\) 15508.0i 2.19677i
\(369\) 294.571 + 1139.59i 0.0415576 + 0.160771i
\(370\) −9586.68 8139.24i −1.34699 1.14362i
\(371\) −233.367 + 2220.34i −0.0326572 + 0.310713i
\(372\) −11205.3 343.032i −1.56174 0.0478102i
\(373\) 7839.97 7059.14i 1.08831 0.979915i 0.0884370 0.996082i \(-0.471813\pi\)
0.999869 + 0.0161663i \(0.00514613\pi\)
\(374\) 4792.79 8301.35i 0.662645 1.14773i
\(375\) −3325.14 6455.84i −0.457892 0.889008i
\(376\) 7385.12 + 12791.4i 1.01292 + 1.75443i
\(377\) −6749.71 2193.11i −0.922089 0.299605i
\(378\) 8232.55 + 11028.9i 1.12020 + 1.50070i
\(379\) −5696.96 4139.08i −0.772119 0.560977i 0.130485 0.991450i \(-0.458347\pi\)
−0.902603 + 0.430473i \(0.858347\pi\)
\(380\) 856.330 4697.26i 0.115602 0.634117i
\(381\) 10363.2 8772.05i 1.39350 1.17954i
\(382\) −11976.0 6914.34i −1.60404 0.926095i
\(383\) 9605.93 1009.62i 1.28157 0.134698i 0.560844 0.827922i \(-0.310477\pi\)
0.720723 + 0.693223i \(0.243810\pi\)
\(384\) −6439.95 + 8316.27i −0.855826 + 1.10518i
\(385\) −5283.88 + 9800.21i −0.699459 + 1.29731i
\(386\) −4398.53 + 13537.3i −0.579998 + 1.78505i
\(387\) −11069.9 7328.95i −1.45405 0.962665i
\(388\) −8881.50 + 2885.77i −1.16209 + 0.377585i
\(389\) 11007.2 2339.66i 1.43468 0.304950i 0.575992 0.817455i \(-0.304616\pi\)
0.858684 + 0.512506i \(0.171283\pi\)
\(390\) −1496.82 + 6990.83i −0.194345 + 0.907678i
\(391\) 6103.31 + 1297.30i 0.789406 + 0.167794i
\(392\) 1802.44 189.444i 0.232237 0.0244091i
\(393\) −8782.35 4236.76i −1.12725 0.543807i
\(394\) 21409.6 + 9532.15i 2.73756 + 1.21884i
\(395\) 1204.29 + 4952.15i 0.153404 + 0.630809i
\(396\) −20930.2 10898.8i −2.65602 1.38305i
\(397\) −383.359 + 527.648i −0.0484640 + 0.0667050i −0.832561 0.553933i \(-0.813126\pi\)
0.784097 + 0.620638i \(0.213126\pi\)
\(398\) −4353.88 20483.4i −0.548342 2.57975i
\(399\) 1422.90 + 2090.08i 0.178531 + 0.262242i
\(400\) 541.766 11645.5i 0.0677207 1.45568i
\(401\) −5728.19 + 9921.51i −0.713347 + 1.23555i 0.250247 + 0.968182i \(0.419488\pi\)
−0.963594 + 0.267371i \(0.913845\pi\)
\(402\) −4253.57 1041.11i −0.527733 0.129169i
\(403\) 3066.98 + 322.353i 0.379100 + 0.0398450i
\(404\) 15054.1 + 10937.5i 1.85389 + 1.34693i
\(405\) −2429.94 + 7779.81i −0.298135 + 0.954524i
\(406\) −22958.8 + 16680.5i −2.80647 + 2.03902i
\(407\) −9888.88 + 5709.35i −1.20436 + 0.695336i
\(408\) −5790.38 6840.71i −0.702613 0.830062i
\(409\) 501.953 + 106.693i 0.0606845 + 0.0128989i 0.238154 0.971227i \(-0.423458\pi\)
−0.177469 + 0.984126i \(0.556791\pi\)
\(410\) 822.896 + 2302.28i 0.0991217 + 0.277321i
\(411\) −10989.7 + 3202.49i −1.31894 + 0.384349i
\(412\) −7586.18 6830.63i −0.907146 0.816798i
\(413\) −6199.40 + 2014.31i −0.738626 + 0.239994i
\(414\) 3719.70 22211.6i 0.441578 2.63681i
\(415\) 656.175 8662.57i 0.0776153 1.02465i
\(416\) −1643.65 + 1825.45i −0.193717 + 0.215145i
\(417\) 2211.75 399.811i 0.259736 0.0469516i
\(418\) −5504.58 3178.07i −0.644109 0.371877i
\(419\) 636.295 + 6053.94i 0.0741886 + 0.705858i 0.966887 + 0.255204i \(0.0821425\pi\)
−0.892699 + 0.450654i \(0.851191\pi\)
\(420\) 13025.6 + 14509.8i 1.51330 + 1.68572i
\(421\) −1088.96 + 10360.8i −0.126063 + 1.19941i 0.730333 + 0.683092i \(0.239365\pi\)
−0.856396 + 0.516320i \(0.827302\pi\)
\(422\) 2215.51 3049.39i 0.255567 0.351758i
\(423\) −3037.51 8127.18i −0.349146 0.934178i
\(424\) −5247.45 −0.601034
\(425\) −4537.85 1187.40i −0.517925 0.135523i
\(426\) −14022.2 20597.0i −1.59478 2.34256i
\(427\) 3895.84 3507.83i 0.441529 0.397555i
\(428\) 12649.4 + 28411.0i 1.42858 + 3.20864i
\(429\) 5519.82 + 3416.23i 0.621210 + 0.384469i
\(430\) −24273.6 13087.3i −2.72227 1.46774i
\(431\) 6341.02 4607.02i 0.708669 0.514878i −0.174075 0.984732i \(-0.555694\pi\)
0.882744 + 0.469855i \(0.155694\pi\)
\(432\) −9609.96 + 8880.13i −1.07028 + 0.988994i
\(433\) 4302.12 + 5921.36i 0.477475 + 0.657187i 0.978017 0.208525i \(-0.0668661\pi\)
−0.500543 + 0.865712i \(0.666866\pi\)
\(434\) 8251.27 9163.96i 0.912612 1.01356i
\(435\) −15976.0 5217.20i −1.76089 0.575047i
\(436\) 858.031 + 952.940i 0.0942483 + 0.104673i
\(437\) 860.231 4047.07i 0.0941658 0.443015i
\(438\) 21179.1 + 16400.7i 2.31045 + 1.78916i
\(439\) −14162.5 + 3010.34i −1.53973 + 0.327279i −0.898118 0.439754i \(-0.855066\pi\)
−0.641608 + 0.767033i \(0.721732\pi\)
\(440\) −24206.4 9943.48i −2.62272 1.07736i
\(441\) −1062.62 65.1215i −0.114741 0.00703180i
\(442\) 2714.35 + 3735.98i 0.292100 + 0.402041i
\(443\) −1322.35 + 763.459i −0.141821 + 0.0818804i −0.569232 0.822177i \(-0.692759\pi\)
0.427411 + 0.904058i \(0.359426\pi\)
\(444\) 3557.23 + 19678.6i 0.380223 + 2.10339i
\(445\) 179.181 + 6152.34i 0.0190876 + 0.655391i
\(446\) −1742.22 + 775.686i −0.184970 + 0.0823538i
\(447\) 3711.44 + 6908.33i 0.392718 + 0.730991i
\(448\) −991.463 4664.47i −0.104559 0.491909i
\(449\) −6081.13 −0.639168 −0.319584 0.947558i \(-0.603543\pi\)
−0.319584 + 0.947558i \(0.603543\pi\)
\(450\) −3569.19 + 16549.4i −0.373896 + 1.73366i
\(451\) 2219.96 0.231782
\(452\) 1843.48 + 8672.87i 0.191836 + 0.902517i
\(453\) −7125.94 218.149i −0.739086 0.0226259i
\(454\) 12906.3 5746.24i 1.33419 0.594019i
\(455\) −3277.77 4245.81i −0.337724 0.437465i
\(456\) −4536.03 + 3839.56i −0.465831 + 0.394307i
\(457\) 467.350 269.824i 0.0478374 0.0276189i −0.475891 0.879505i \(-0.657874\pi\)
0.523728 + 0.851886i \(0.324541\pi\)
\(458\) 3396.26 + 4674.55i 0.346500 + 0.476916i
\(459\) 2690.94 + 4524.93i 0.273644 + 0.460144i
\(460\) 2410.01 31816.0i 0.244277 3.22485i
\(461\) 18323.9 3894.86i 1.85125 0.393496i 0.858415 0.512956i \(-0.171450\pi\)
0.992839 + 0.119460i \(0.0381162\pi\)
\(462\) 24024.9 9827.14i 2.41935 0.989610i
\(463\) 608.136 2861.05i 0.0610421 0.287180i −0.937030 0.349249i \(-0.886437\pi\)
0.998072 + 0.0620691i \(0.0197699\pi\)
\(464\) −18053.5 20050.5i −1.80628 2.00608i
\(465\) 7261.65 + 774.156i 0.724196 + 0.0772057i
\(466\) −10358.0 + 11503.7i −1.02967 + 1.14356i
\(467\) −8190.20 11272.8i −0.811557 1.11701i −0.991081 0.133259i \(-0.957456\pi\)
0.179524 0.983754i \(-0.442544\pi\)
\(468\) 8897.90 7075.95i 0.878858 0.698901i
\(469\) 2658.02 1931.16i 0.261697 0.190134i
\(470\) −7806.43 16243.6i −0.766136 1.59418i
\(471\) 8296.01 4456.96i 0.811592 0.436021i
\(472\) −6231.60 13996.4i −0.607696 1.36491i
\(473\) −18607.9 + 16754.7i −1.80887 + 1.62871i
\(474\) 5162.59 10701.5i 0.500265 1.03700i
\(475\) −787.358 + 3009.02i −0.0760557 + 0.290660i
\(476\) 12594.8 1.21277
\(477\) 3040.09 + 509.115i 0.291816 + 0.0488696i
\(478\) 9015.94 12409.4i 0.862718 1.18743i
\(479\) −765.195 + 7280.34i −0.0729909 + 0.694462i 0.895440 + 0.445181i \(0.146861\pi\)
−0.968431 + 0.249281i \(0.919806\pi\)
\(480\) −3898.68 + 4316.99i −0.370728 + 0.410506i
\(481\) −575.015 5470.90i −0.0545082 0.518611i
\(482\) −15951.8 9209.80i −1.50744 0.870322i
\(483\) 10916.5 + 12896.7i 1.02840 + 1.21494i
\(484\) −14495.2 + 16098.5i −1.36130 + 1.51188i
\(485\) 5911.06 1437.49i 0.553417 0.134583i
\(486\) 15893.9 10413.7i 1.48346 0.971961i
\(487\) 1502.63 488.234i 0.139816 0.0454291i −0.238273 0.971198i \(-0.576581\pi\)
0.378089 + 0.925769i \(0.376581\pi\)
\(488\) 9156.81 + 8244.83i 0.849404 + 0.764807i
\(489\) −1096.63 + 4480.37i −0.101414 + 0.414334i
\(490\) −2210.44 + 64.3770i −0.203791 + 0.00593522i
\(491\) 16345.7 + 3474.39i 1.50239 + 0.319343i 0.884357 0.466811i \(-0.154597\pi\)
0.618031 + 0.786153i \(0.287930\pi\)
\(492\) 1313.98 3659.03i 0.120404 0.335288i
\(493\) −9401.27 + 5427.82i −0.858847 + 0.495856i
\(494\) 2477.30 1799.87i 0.225626 0.163927i
\(495\) 13059.2 + 8109.27i 1.18579 + 0.736333i
\(496\) 9484.77 + 6891.09i 0.858627 + 0.623829i
\(497\) 18591.9 + 1954.09i 1.67799 + 0.176364i
\(498\) −14006.3 + 14629.5i −1.26032 + 1.31639i
\(499\) −1403.78 + 2431.42i −0.125935 + 0.218127i −0.922098 0.386956i \(-0.873527\pi\)
0.796163 + 0.605083i \(0.206860\pi\)
\(500\) −2921.23 + 23807.5i −0.261283 + 2.12940i
\(501\) 5470.60 11340.0i 0.487841 1.01124i
\(502\) −3041.22 14307.8i −0.270391 1.27209i
\(503\) −12563.1 + 17291.6i −1.11364 + 1.53279i −0.297688 + 0.954663i \(0.596215\pi\)
−0.815948 + 0.578125i \(0.803785\pi\)
\(504\) −1055.68 24246.4i −0.0933012 2.14290i
\(505\) −9240.40 7845.24i −0.814242 0.691304i
\(506\) −38803.2 17276.3i −3.40911 1.51784i
\(507\) 6851.59 4664.47i 0.600177 0.408593i
\(508\) −44600.7 + 4687.73i −3.89535 + 0.409418i
\(509\) −6153.52 1307.97i −0.535855 0.113899i −0.0679675 0.997688i \(-0.521651\pi\)
−0.467887 + 0.883788i \(0.654985\pi\)
\(510\) 6414.56 + 8856.57i 0.556945 + 0.768972i
\(511\) −19658.0 + 4178.44i −1.70180 + 0.361728i
\(512\) 23734.8 7711.89i 2.04871 0.665666i
\(513\) 3000.46 1784.35i 0.258233 0.153569i
\(514\) −1334.53 + 4107.27i −0.114521 + 0.352459i
\(515\) 4591.59 + 4810.17i 0.392873 + 0.411575i
\(516\) 16601.8 + 40587.3i 1.41639 + 3.46271i
\(517\) −16274.2 + 1710.49i −1.38441 + 0.145507i
\(518\) −19049.7 10998.4i −1.61582 0.932896i
\(519\) 9798.66 + 3518.75i 0.828735 + 0.297603i
\(520\) 9119.41 8705.02i 0.769063 0.734116i
\(521\) 5158.63 + 3747.96i 0.433788 + 0.315166i 0.783162 0.621818i \(-0.213606\pi\)
−0.349374 + 0.936983i \(0.613606\pi\)
\(522\) 21048.1 + 33047.8i 1.76485 + 2.77100i
\(523\) 8877.17 + 2884.37i 0.742202 + 0.241156i 0.655622 0.755089i \(-0.272406\pi\)
0.0865796 + 0.996245i \(0.472406\pi\)
\(524\) 16103.7 + 27892.4i 1.34254 + 2.32535i
\(525\) −7747.00 10065.9i −0.644013 0.836782i
\(526\) −11474.3 + 19874.1i −0.951149 + 1.64744i
\(527\) 3505.48 3156.35i 0.289755 0.260897i
\(528\) 11679.4 + 21739.5i 0.962651 + 1.79184i
\(529\) 1618.32 15397.2i 0.133009 1.26549i
\(530\) 6384.45 + 483.611i 0.523250 + 0.0396353i
\(531\) 2252.31 + 8713.37i 0.184071 + 0.712106i
\(532\) 8351.52i 0.680609i
\(533\) −434.998 + 977.021i −0.0353505 + 0.0793986i
\(534\) 8785.61 11345.4i 0.711968 0.919404i
\(535\) −6818.63 19077.0i −0.551019 1.54163i
\(536\) 5167.18 + 5738.74i 0.416396 + 0.462455i
\(537\) −4344.09 + 1776.91i −0.349090 + 0.142792i
\(538\) 2136.51 + 1923.73i 0.171211 + 0.154159i
\(539\) −620.476 + 1909.63i −0.0495840 + 0.152604i
\(540\) 21095.7 16724.9i 1.68113 1.33282i
\(541\) −6115.32 18821.0i −0.485985 1.49571i −0.830549 0.556946i \(-0.811973\pi\)
0.344563 0.938763i \(-0.388027\pi\)
\(542\) 8209.14 18438.0i 0.650577 1.46122i
\(543\) −490.365 6604.06i −0.0387543 0.521929i
\(544\) 392.743 + 3736.70i 0.0309536 + 0.294503i
\(545\) −510.456 661.210i −0.0401202 0.0519690i
\(546\) −382.640 + 12499.1i −0.0299917 + 0.979695i
\(547\) −2592.70 272.504i −0.202661 0.0213006i 0.00265380 0.999996i \(-0.499155\pi\)
−0.205315 + 0.978696i \(0.565822\pi\)
\(548\) 35958.6 + 11683.7i 2.80306 + 0.910769i
\(549\) −4505.05 5665.03i −0.350220 0.440396i
\(550\) 28535.0 + 14328.9i 2.21225 + 1.11088i
\(551\) 3599.16 + 6233.92i 0.278274 + 0.481985i
\(552\) −27464.3 + 28686.1i −2.11768 + 2.21189i
\(553\) 3625.80 + 8143.69i 0.278815 + 0.626229i
\(554\) 29269.9 13031.8i 2.24469 0.999402i
\(555\) −1342.39 12957.4i −0.102669 0.991014i
\(556\) −6782.02 3019.55i −0.517305 0.230319i
\(557\) 9003.81i 0.684926i 0.939531 + 0.342463i \(0.111261\pi\)
−0.939531 + 0.342463i \(0.888739\pi\)
\(558\) −11931.8 12144.8i −0.905221 0.921383i
\(559\) −3727.65 11472.5i −0.282045 0.868044i
\(560\) −2720.96 20209.1i −0.205324 1.52498i
\(561\) 9532.80 2777.93i 0.717424 0.209063i
\(562\) −1363.10 + 6412.90i −0.102311 + 0.481338i
\(563\) −3798.62 + 17871.1i −0.284356 + 1.33779i 0.571510 + 0.820595i \(0.306358\pi\)
−0.855867 + 0.517196i \(0.826976\pi\)
\(564\) −6813.26 + 27836.2i −0.508670 + 2.07822i
\(565\) −770.716 5724.26i −0.0573881 0.426232i
\(566\) 10116.6 + 31135.8i 0.751298 + 2.31226i
\(567\) −1740.82 + 14149.5i −0.128937 + 1.04801i
\(568\) 43939.2i 3.24586i
\(569\) 6825.87 + 3039.08i 0.502910 + 0.223910i 0.642480 0.766302i \(-0.277906\pi\)
−0.139571 + 0.990212i \(0.544572\pi\)
\(570\) 5872.74 4253.46i 0.431547 0.312558i
\(571\) 11010.5 4902.18i 0.806961 0.359282i 0.0385641 0.999256i \(-0.487722\pi\)
0.768396 + 0.639974i \(0.221055\pi\)
\(572\) −8721.00 19587.7i −0.637489 1.43182i
\(573\) −4007.59 13752.5i −0.292181 1.00265i
\(574\) 2138.24 + 3703.54i 0.155485 + 0.269308i
\(575\) −3130.89 + 20547.8i −0.227074 + 1.49027i
\(576\) −6511.73 + 972.379i −0.471045 + 0.0703400i
\(577\) −7169.57 2329.54i −0.517285 0.168076i 0.0387280 0.999250i \(-0.487669\pi\)
−0.556013 + 0.831174i \(0.687669\pi\)
\(578\) −17485.1 1837.76i −1.25828 0.132250i
\(579\) −12988.6 + 6978.01i −0.932275 + 0.500857i
\(580\) 33922.4 + 43940.8i 2.42854 + 3.14576i
\(581\) −1588.34 15112.1i −0.113418 1.07910i
\(582\) −12773.7 6162.25i −0.909771 0.438889i
\(583\) 2364.60 5310.99i 0.167979 0.377288i
\(584\) −14596.9 44924.6i −1.03429 3.18321i
\(585\) −6127.88 + 4158.45i −0.433088 + 0.293899i
\(586\) 5389.73 16587.9i 0.379945 1.16935i
\(587\) 18308.5 + 16485.0i 1.28735 + 1.15913i 0.978097 + 0.208150i \(0.0667443\pi\)
0.309249 + 0.950981i \(0.399922\pi\)
\(588\) 2780.27 + 2152.99i 0.194994 + 0.150999i
\(589\) −2092.96 2324.46i −0.146415 0.162611i
\(590\) 6291.91 + 17603.4i 0.439041 + 1.22834i
\(591\) 9190.74 + 22469.0i 0.639689 + 1.56388i
\(592\) 8506.10 19105.0i 0.590538 1.32637i
\(593\) 22853.4i 1.58259i −0.611435 0.791295i \(-0.709407\pi\)
0.611435 0.791295i \(-0.290593\pi\)
\(594\) −11513.6 33938.1i −0.795298 2.34427i
\(595\) −8181.06 619.702i −0.563682 0.0426980i
\(596\) 2707.59 25761.0i 0.186086 1.77049i
\(597\) 11415.7 18445.1i 0.782603 1.26450i
\(598\) 15206.8 13692.3i 1.03989 0.936321i
\(599\) −5697.57 + 9868.48i −0.388642 + 0.673147i −0.992267 0.124121i \(-0.960389\pi\)
0.603625 + 0.797268i \(0.293722\pi\)
\(600\) 21626.0 20581.9i 1.47146 1.40042i
\(601\) 5191.31 + 8991.62i 0.352343 + 0.610276i 0.986660 0.162797i \(-0.0520517\pi\)
−0.634316 + 0.773073i \(0.718718\pi\)
\(602\) −45874.6 14905.6i −3.10583 1.00915i
\(603\) −2436.81 3826.05i −0.164568 0.258389i
\(604\) 19050.9 + 13841.3i 1.28339 + 0.932438i
\(605\) 10207.6 9743.75i 0.685946 0.654777i
\(606\) 5026.95 + 27809.0i 0.336973 + 1.86413i
\(607\) 15999.7 + 9237.46i 1.06987 + 0.617688i 0.928145 0.372218i \(-0.121403\pi\)
0.141722 + 0.989906i \(0.454736\pi\)
\(608\) 2477.79 260.426i 0.165275 0.0173712i
\(609\) −29127.5 3965.88i −1.93811 0.263884i
\(610\) −10381.0 10875.2i −0.689041 0.721842i
\(611\) 2436.10 7497.55i 0.161300 0.496430i
\(612\) 1063.68 17356.6i 0.0702562 1.14640i
\(613\) −4233.40 + 1375.52i −0.278932 + 0.0906306i −0.445142 0.895460i \(-0.646847\pi\)
0.166210 + 0.986090i \(0.446847\pi\)
\(614\) −34424.7 + 7317.20i −2.26265 + 0.480942i
\(615\) −1033.54 + 2312.11i −0.0677665 + 0.151599i
\(616\) −44772.9 9516.77i −2.92849 0.622470i
\(617\) 14447.8 1518.53i 0.942702 0.0990820i 0.379308 0.925270i \(-0.376162\pi\)
0.563394 + 0.826188i \(0.309495\pi\)
\(618\) −1147.98 15460.6i −0.0747225 1.00634i
\(619\) 12058.0 + 5368.58i 0.782962 + 0.348597i 0.758979 0.651115i \(-0.225699\pi\)
0.0239830 + 0.999712i \(0.492365\pi\)
\(620\) −18387.9 15611.6i −1.19109 1.01125i
\(621\) 18694.5 13954.6i 1.20803 0.901737i
\(622\) −17841.7 + 24556.9i −1.15014 + 1.58303i
\(623\) 2238.33 + 10530.5i 0.143944 + 0.677201i
\(624\) −11856.3 + 880.353i −0.760627 + 0.0564781i
\(625\) 3068.92 15320.7i 0.196411 0.980522i
\(626\) 8935.18 15476.2i 0.570482 0.988103i
\(627\) −1842.03 6321.14i −0.117326 0.402619i
\(628\) −30935.6 3251.46i −1.96571 0.206604i
\(629\) −6807.37 4945.84i −0.431523 0.313519i
\(630\) −950.153 + 29597.3i −0.0600873 + 1.87172i
\(631\) −3428.24 + 2490.76i −0.216286 + 0.157141i −0.690653 0.723186i \(-0.742677\pi\)
0.474367 + 0.880327i \(0.342677\pi\)
\(632\) −18145.3 + 10476.2i −1.14206 + 0.659368i
\(633\) 3842.14 694.532i 0.241250 0.0436101i
\(634\) 44693.8 + 9499.96i 2.79971 + 0.595097i
\(635\) 29201.5 850.467i 1.82492 0.0531492i
\(636\) −7354.20 7040.97i −0.458511 0.438982i
\(637\) −718.860 647.265i −0.0447132 0.0402599i
\(638\) 70281.0 22835.7i 4.36121 1.41704i
\(639\) 4263.05 25456.0i 0.263918 1.57594i
\(640\) −21990.7 + 5347.84i −1.35822 + 0.330300i
\(641\) 7007.18 7782.26i 0.431774 0.479533i −0.487516 0.873114i \(-0.662097\pi\)
0.919290 + 0.393580i \(0.128764\pi\)
\(642\) −15962.8 + 44451.6i −0.981310 + 2.73266i
\(643\) 10158.4 + 5864.97i 0.623032 + 0.359708i 0.778048 0.628204i \(-0.216210\pi\)
−0.155017 + 0.987912i \(0.549543\pi\)
\(644\) −5833.70 55503.9i −0.356956 3.39621i
\(645\) −8786.88 27180.8i −0.536408 1.65929i
\(646\) 489.591 4658.15i 0.0298184 0.283703i
\(647\) 6331.99 8715.23i 0.384754 0.529569i −0.572082 0.820197i \(-0.693864\pi\)
0.956836 + 0.290627i \(0.0938640\pi\)
\(648\) −33502.6 592.898i −2.03103 0.0359433i
\(649\) 16974.0 1.02664
\(650\) −11897.6 + 9750.74i −0.717944 + 0.588393i
\(651\) 12738.5 945.856i 0.766911 0.0569447i
\(652\) 11322.3 10194.6i 0.680083 0.612349i
\(653\) 7164.56 + 16091.9i 0.429358 + 0.964354i 0.990611 + 0.136710i \(0.0436527\pi\)
−0.561253 + 0.827644i \(0.689681\pi\)
\(654\) −59.5894 + 1946.52i −0.00356289 + 0.116384i
\(655\) −9087.92 18910.1i −0.542129 1.12806i
\(656\) −3289.30 + 2389.82i −0.195771 + 0.142236i
\(657\) 4098.01 + 27443.1i 0.243346 + 1.62962i
\(658\) −18528.7 25502.6i −1.09776 1.51093i
\(659\) −13643.9 + 15153.1i −0.806514 + 0.895724i −0.996286 0.0861038i \(-0.972558\pi\)
0.189772 + 0.981828i \(0.439225\pi\)
\(660\) −20582.8 46415.5i −1.21392 2.73746i
\(661\) −4126.42 4582.85i −0.242813 0.269671i 0.609404 0.792860i \(-0.291409\pi\)
−0.852217 + 0.523189i \(0.824742\pi\)
\(662\) −1161.80 + 5465.83i −0.0682093 + 0.320900i
\(663\) −645.348 + 4739.78i −0.0378028 + 0.277644i
\(664\) 34934.7 7425.60i 2.04176 0.433990i
\(665\) −410.920 + 5424.81i −0.0239621 + 0.316339i
\(666\) −16765.4 + 25323.1i −0.975446 + 1.47335i
\(667\) 28274.4 + 38916.4i 1.64136 + 2.25914i
\(668\) −36015.3 + 20793.5i −2.08604 + 1.20438i
\(669\) −1859.24 667.661i −0.107447 0.0385849i
\(670\) −5757.90 7458.40i −0.332011 0.430064i
\(671\) −12470.9 + 5552.41i −0.717487 + 0.319446i
\(672\) −5354.46 + 8651.54i −0.307370 + 0.496638i
\(673\) 4021.66 + 18920.4i 0.230347 + 1.08370i 0.929527 + 0.368753i \(0.120215\pi\)
−0.699180 + 0.714945i \(0.746452\pi\)
\(674\) 10199.6 0.582901
\(675\) −14525.8 + 9825.86i −0.828295 + 0.560293i
\(676\) −27377.6 −1.55767
\(677\) −4282.89 20149.4i −0.243139 1.14388i −0.915080 0.403273i \(-0.867873\pi\)
0.671941 0.740605i \(-0.265461\pi\)
\(678\) −7086.52 + 11450.1i −0.401410 + 0.648584i
\(679\) 9720.60 4327.89i 0.549400 0.244608i
\(680\) −561.388 19275.7i −0.0316592 1.08704i
\(681\) 13773.1 + 4946.00i 0.775018 + 0.278313i
\(682\) −27808.7 + 16055.4i −1.56136 + 0.901453i
\(683\) 13442.6 + 18502.1i 0.753097 + 1.03655i 0.997757 + 0.0669406i \(0.0213238\pi\)
−0.244660 + 0.969609i \(0.578676\pi\)
\(684\) −11509.0 705.321i −0.643361 0.0394278i
\(685\) −22782.4 9358.52i −1.27076 0.522001i
\(686\) 29128.7 6191.49i 1.62119 0.344595i
\(687\) −807.477 + 5930.54i −0.0448430 + 0.329351i
\(688\) 9534.64 44857.0i 0.528350 2.48569i
\(689\) 1874.06 + 2081.36i 0.103623 + 0.115085i
\(690\) 36058.9 32370.6i 1.98948 1.78598i
\(691\) 5837.74 6483.47i 0.321387 0.356936i −0.560704 0.828017i \(-0.689469\pi\)
0.882090 + 0.471081i \(0.156136\pi\)
\(692\) −20213.2 27821.1i −1.11039 1.52832i
\(693\) 25015.7 + 9857.45i 1.37124 + 0.540337i
\(694\) 6576.32 4777.98i 0.359703 0.261339i
\(695\) 4256.76 + 2295.08i 0.232328 + 0.125262i
\(696\) 2114.18 69060.8i 0.115140 3.76113i
\(697\) 665.371 + 1494.45i 0.0361589 + 0.0812141i
\(698\) −38558.7 + 34718.4i −2.09093 + 1.88268i
\(699\) −15990.9 + 1187.35i −0.865279 + 0.0642487i
\(700\) 2441.70 + 41883.4i 0.131840 + 2.26149i
\(701\) 18643.4 1.00449 0.502247 0.864724i \(-0.332507\pi\)
0.502247 + 0.864724i \(0.332507\pi\)
\(702\) 17192.5 + 1582.91i 0.924341 + 0.0851042i
\(703\) −3279.56 + 4513.93i −0.175947 + 0.242171i
\(704\) −1297.99 + 12349.6i −0.0694885 + 0.661139i
\(705\) 5795.25 17746.0i 0.309591 0.948021i
\(706\) 2539.71 + 24163.7i 0.135387 + 1.28812i
\(707\) −18361.6 10601.1i −0.976746 0.563925i
\(708\) 10046.7 27977.2i 0.533305 1.48509i
\(709\) 6625.31 7358.15i 0.350943 0.389762i −0.541666 0.840594i \(-0.682206\pi\)
0.892609 + 0.450832i \(0.148873\pi\)
\(710\) 4049.49 53459.8i 0.214049 2.82579i
\(711\) 11528.8 4308.87i 0.608109 0.227279i
\(712\) −24065.5 + 7819.35i −1.26670 + 0.411577i
\(713\) −15533.4 13986.3i −0.815891 0.734631i
\(714\) 13816.3 + 13227.8i 0.724176 + 0.693331i
\(715\) 4701.04 + 13152.5i 0.245887 + 0.687937i
\(716\) 15163.8 + 3223.17i 0.791478 + 0.168234i
\(717\) 15635.5 2826.37i 0.814389 0.147215i
\(718\) 45175.2 26081.9i 2.34808 1.35567i
\(719\) −27882.6 + 20257.9i −1.44624 + 1.05075i −0.459546 + 0.888154i \(0.651988\pi\)
−0.986692 + 0.162600i \(0.948012\pi\)
\(720\) −28079.5 + 2042.95i −1.45342 + 0.105745i
\(721\) 9410.01 + 6836.77i 0.486057 + 0.353141i
\(722\) 31129.3 + 3271.83i 1.60459 + 0.168649i
\(723\) −5338.06 18318.2i −0.274585 0.942269i
\(724\) −10936.7 + 18942.9i −0.561408 + 0.972387i
\(725\) −19872.6 30211.3i −1.01800 1.54761i
\(726\) −32808.7 + 2436.11i −1.67720 + 0.124535i
\(727\) −1398.47 6579.28i −0.0713429 0.335642i 0.927972 0.372650i \(-0.121551\pi\)
−0.999315 + 0.0370077i \(0.988217\pi\)
\(728\) 12961.6 17840.1i 0.659873 0.908238i
\(729\) 19352.1 + 3593.97i 0.983189 + 0.182592i
\(730\) 13619.4 + 56003.9i 0.690515 + 2.83945i
\(731\) −16856.2 7504.88i −0.852873 0.379724i
\(732\) 1770.28 + 23841.5i 0.0893871 + 1.20383i
\(733\) 12734.8 1338.49i 0.641708 0.0674462i 0.221915 0.975066i \(-0.428769\pi\)
0.419793 + 0.907620i \(0.362103\pi\)
\(734\) 35873.6 + 7625.16i 1.80397 + 0.383447i
\(735\) −1700.02 1535.29i −0.0853146 0.0770478i
\(736\) 16285.4 3461.56i 0.815607 0.173363i
\(737\) −8136.67 + 2643.76i −0.406673 + 0.132136i
\(738\) 5284.35 2633.88i 0.263577 0.131375i
\(739\) 2103.93 6475.25i 0.104729 0.322322i −0.884938 0.465709i \(-0.845799\pi\)
0.989667 + 0.143387i \(0.0457994\pi\)
\(740\) −20420.0 + 37873.6i −1.01440 + 1.88144i
\(741\) 3142.92 + 427.927i 0.155814 + 0.0212149i
\(742\) 11137.8 1170.63i 0.551055 0.0579182i
\(743\) 22046.2 + 12728.4i 1.08855 + 0.628477i 0.933191 0.359380i \(-0.117012\pi\)
0.155363 + 0.987857i \(0.450345\pi\)
\(744\) 5340.60 + 29544.1i 0.263167 + 1.45583i
\(745\) −3026.26 + 16600.1i −0.148824 + 0.816349i
\(746\) −42813.4 31105.8i −2.10122 1.52663i
\(747\) −20959.8 + 912.583i −1.02661 + 0.0446983i
\(748\) −31191.5 10134.7i −1.52470 0.495405i
\(749\) −17717.8 30688.1i −0.864343 1.49709i
\(750\) −28208.6 + 23048.4i −1.37338 + 1.12214i
\(751\) 3.98828 6.90791i 0.000193788 0.000335650i −0.865928 0.500168i \(-0.833272\pi\)
0.866122 + 0.499832i \(0.166605\pi\)
\(752\) 22272.0 20053.8i 1.08002 0.972455i
\(753\) 7973.96 12884.0i 0.385906 0.623533i
\(754\) −3721.30 + 35405.8i −0.179737 + 1.71008i
\(755\) −11693.6 9928.09i −0.563676 0.478570i
\(756\) 31054.0 35397.4i 1.49395 1.70290i
\(757\) 6434.80i 0.308952i −0.987997 0.154476i \(-0.950631\pi\)
0.987997 0.154476i \(-0.0493689\pi\)
\(758\) −14367.5 + 32269.8i −0.688456 + 1.54630i
\(759\) −16657.5 40723.4i −0.796613 1.94752i
\(760\) −12781.6 + 372.253i −0.610050 + 0.0177671i
\(761\) −24646.8 27373.1i −1.17404 1.30391i −0.943702 0.330796i \(-0.892683\pi\)
−0.230340 0.973110i \(-0.573984\pi\)
\(762\) −53849.7 41700.1i −2.56006 1.98246i
\(763\) −1085.80 977.656i −0.0515183 0.0463873i
\(764\) −14620.9 + 44998.6i −0.692364 + 2.13088i
\(765\) −1544.92 + 11221.8i −0.0730154 + 0.530360i
\(766\) −14972.3 46080.0i −0.706229 2.17355i
\(767\) −3326.02 + 7470.36i −0.156578 + 0.351681i
\(768\) 38391.8 + 18520.9i 1.80383 + 0.870200i
\(769\) −1123.60 10690.4i −0.0526893 0.501306i −0.988762 0.149499i \(-0.952234\pi\)
0.936073 0.351807i \(-0.114433\pi\)
\(770\) 53597.0 + 15705.1i 2.50844 + 0.735031i
\(771\) −3940.79 + 2117.16i −0.184078 + 0.0988943i