Properties

Label 49.4.e.a.8.6
Level $49$
Weight $4$
Character 49.8
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 8.6
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.802750 - 1.00662i) q^{2} +(-1.70862 + 0.822828i) q^{3} +(1.41130 - 6.18330i) q^{4} +(-15.9369 + 7.67483i) q^{5} +(2.19987 + 1.05940i) q^{6} +(0.116992 - 18.5199i) q^{7} +(-16.6372 + 8.01205i) q^{8} +(-14.5919 + 18.2976i) q^{9} +O(q^{10})\) \(q+(-0.802750 - 1.00662i) q^{2} +(-1.70862 + 0.822828i) q^{3} +(1.41130 - 6.18330i) q^{4} +(-15.9369 + 7.67483i) q^{5} +(2.19987 + 1.05940i) q^{6} +(0.116992 - 18.5199i) q^{7} +(-16.6372 + 8.01205i) q^{8} +(-14.5919 + 18.2976i) q^{9} +(20.5190 + 9.88143i) q^{10} +(-33.8968 - 42.5053i) q^{11} +(2.67642 + 11.7262i) q^{12} +(13.9324 + 17.4706i) q^{13} +(-18.7363 + 14.7491i) q^{14} +(20.9151 - 26.2267i) q^{15} +(-24.2933 - 11.6990i) q^{16} +(-4.20092 - 18.4054i) q^{17} +30.1324 q^{18} +142.319 q^{19} +(24.9640 + 109.374i) q^{20} +(15.0388 + 31.7397i) q^{21} +(-15.5758 + 68.2422i) q^{22} +(15.3213 - 67.1272i) q^{23} +(21.8341 - 27.3791i) q^{24} +(117.147 - 146.898i) q^{25} +(6.40202 - 28.0491i) q^{26} +(21.2700 - 93.1901i) q^{27} +(-114.349 - 26.8605i) q^{28} +(4.70393 + 20.6093i) q^{29} -43.1899 q^{30} -288.230 q^{31} +(40.5974 + 177.869i) q^{32} +(92.8913 + 44.7341i) q^{33} +(-15.1549 + 19.0037i) q^{34} +(140.272 + 296.048i) q^{35} +(92.5463 + 116.049i) q^{36} +(-5.03063 - 22.0406i) q^{37} +(-114.246 - 143.260i) q^{38} +(-38.1804 - 18.3867i) q^{39} +(203.655 - 255.375i) q^{40} +(-270.774 + 130.398i) q^{41} +(19.8773 - 40.6174i) q^{42} +(-354.025 - 170.489i) q^{43} +(-310.661 + 149.607i) q^{44} +(92.1188 - 403.599i) q^{45} +(-79.8705 + 38.4636i) q^{46} +(69.1032 + 86.6527i) q^{47} +51.1342 q^{48} +(-342.973 - 4.33337i) q^{49} -241.909 q^{50} +(22.3223 + 27.9913i) q^{51} +(127.689 - 61.4917i) q^{52} +(144.850 - 634.628i) q^{53} +(-110.881 + 53.3976i) q^{54} +(866.432 + 417.252i) q^{55} +(146.436 + 309.056i) q^{56} +(-243.168 + 117.104i) q^{57} +(16.9696 - 21.2792i) q^{58} +(142.775 + 68.7566i) q^{59} +(-132.650 - 166.338i) q^{60} +(14.7619 + 64.6763i) q^{61} +(231.377 + 290.137i) q^{62} +(337.163 + 272.381i) q^{63} +(11.9645 - 15.0030i) q^{64} +(-356.123 - 171.500i) q^{65} +(-29.5384 - 129.416i) q^{66} +755.351 q^{67} -119.735 q^{68} +(29.0558 + 127.302i) q^{69} +(185.403 - 378.853i) q^{70} +(-93.2217 + 408.431i) q^{71} +(96.1664 - 421.332i) q^{72} +(-57.6319 + 72.2682i) q^{73} +(-18.1481 + 22.7570i) q^{74} +(-79.2881 + 347.384i) q^{75} +(200.854 - 879.999i) q^{76} +(-791.158 + 622.793i) q^{77} +(12.1410 + 53.1930i) q^{78} -647.958 q^{79} +476.948 q^{80} +(-100.273 - 439.325i) q^{81} +(348.625 + 167.889i) q^{82} +(285.937 - 358.554i) q^{83} +(217.480 - 48.1952i) q^{84} +(208.208 + 261.085i) q^{85} +(112.576 + 493.228i) q^{86} +(-24.9951 - 31.3429i) q^{87} +(904.502 + 435.585i) q^{88} +(329.450 - 413.117i) q^{89} +(-480.218 + 231.261i) q^{90} +(325.184 - 255.982i) q^{91} +(-393.444 - 189.473i) q^{92} +(492.476 - 237.164i) q^{93} +(31.7534 - 139.121i) q^{94} +(-2268.12 + 1092.27i) q^{95} +(-215.721 - 270.505i) q^{96} -1090.75 q^{97} +(270.959 + 348.721i) q^{98} +1272.36 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{6}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.802750 1.00662i −0.283815 0.355893i 0.619404 0.785072i \(-0.287374\pi\)
−0.903219 + 0.429179i \(0.858803\pi\)
\(3\) −1.70862 + 0.822828i −0.328824 + 0.158353i −0.591010 0.806664i \(-0.701271\pi\)
0.262186 + 0.965017i \(0.415557\pi\)
\(4\) 1.41130 6.18330i 0.176412 0.772912i
\(5\) −15.9369 + 7.67483i −1.42544 + 0.686457i −0.978144 0.207927i \(-0.933328\pi\)
−0.447299 + 0.894384i \(0.647614\pi\)
\(6\) 2.19987 + 1.05940i 0.149682 + 0.0720831i
\(7\) 0.116992 18.5199i 0.00631699 0.999980i
\(8\) −16.6372 + 8.01205i −0.735267 + 0.354086i
\(9\) −14.5919 + 18.2976i −0.540440 + 0.677691i
\(10\) 20.5190 + 9.88143i 0.648867 + 0.312478i
\(11\) −33.8968 42.5053i −0.929116 1.16507i −0.986009 0.166694i \(-0.946691\pi\)
0.0568927 0.998380i \(-0.481881\pi\)
\(12\) 2.67642 + 11.7262i 0.0643847 + 0.282088i
\(13\) 13.9324 + 17.4706i 0.297242 + 0.372729i 0.907916 0.419153i \(-0.137673\pi\)
−0.610674 + 0.791882i \(0.709101\pi\)
\(14\) −18.7363 + 14.7491i −0.357679 + 0.281561i
\(15\) 20.9151 26.2267i 0.360017 0.451448i
\(16\) −24.2933 11.6990i −0.379582 0.182797i
\(17\) −4.20092 18.4054i −0.0599337 0.262587i 0.936080 0.351787i \(-0.114426\pi\)
−0.996014 + 0.0892006i \(0.971569\pi\)
\(18\) 30.1324 0.394570
\(19\) 142.319 1.71843 0.859214 0.511616i \(-0.170953\pi\)
0.859214 + 0.511616i \(0.170953\pi\)
\(20\) 24.9640 + 109.374i 0.279106 + 1.22284i
\(21\) 15.0388 + 31.7397i 0.156273 + 0.329818i
\(22\) −15.5758 + 68.2422i −0.150945 + 0.661331i
\(23\) 15.3213 67.1272i 0.138901 0.608564i −0.856777 0.515688i \(-0.827537\pi\)
0.995678 0.0928769i \(-0.0296063\pi\)
\(24\) 21.8341 27.3791i 0.185703 0.232864i
\(25\) 117.147 146.898i 0.937175 1.17518i
\(26\) 6.40202 28.0491i 0.0482900 0.211572i
\(27\) 21.2700 93.1901i 0.151608 0.664238i
\(28\) −114.349 26.8605i −0.771783 0.181291i
\(29\) 4.70393 + 20.6093i 0.0301206 + 0.131967i 0.987753 0.156027i \(-0.0498687\pi\)
−0.957632 + 0.287994i \(0.907012\pi\)
\(30\) −43.1899 −0.262845
\(31\) −288.230 −1.66993 −0.834963 0.550307i \(-0.814511\pi\)
−0.834963 + 0.550307i \(0.814511\pi\)
\(32\) 40.5974 + 177.869i 0.224271 + 0.982595i
\(33\) 92.8913 + 44.7341i 0.490009 + 0.235976i
\(34\) −15.1549 + 19.0037i −0.0764426 + 0.0958560i
\(35\) 140.272 + 296.048i 0.677439 + 1.42975i
\(36\) 92.5463 + 116.049i 0.428455 + 0.537266i
\(37\) −5.03063 22.0406i −0.0223522 0.0979312i 0.962521 0.271206i \(-0.0874224\pi\)
−0.984874 + 0.173275i \(0.944565\pi\)
\(38\) −114.246 143.260i −0.487716 0.611576i
\(39\) −38.1804 18.3867i −0.156763 0.0754931i
\(40\) 203.655 255.375i 0.805017 1.00946i
\(41\) −270.774 + 130.398i −1.03141 + 0.496701i −0.871482 0.490428i \(-0.836841\pi\)
−0.159928 + 0.987129i \(0.551126\pi\)
\(42\) 19.8773 40.6174i 0.0730272 0.149224i
\(43\) −354.025 170.489i −1.25554 0.604637i −0.316549 0.948576i \(-0.602524\pi\)
−0.938992 + 0.343939i \(0.888239\pi\)
\(44\) −310.661 + 149.607i −1.06441 + 0.512592i
\(45\) 92.1188 403.599i 0.305161 1.33700i
\(46\) −79.8705 + 38.4636i −0.256006 + 0.123286i
\(47\) 69.1032 + 86.6527i 0.214463 + 0.268928i 0.877413 0.479736i \(-0.159267\pi\)
−0.662950 + 0.748663i \(0.730696\pi\)
\(48\) 51.1342 0.153762
\(49\) −342.973 4.33337i −0.999920 0.0126337i
\(50\) −241.909 −0.684223
\(51\) 22.3223 + 27.9913i 0.0612891 + 0.0768541i
\(52\) 127.689 61.4917i 0.340524 0.163988i
\(53\) 144.850 634.628i 0.375408 1.64477i −0.335906 0.941896i \(-0.609042\pi\)
0.711314 0.702875i \(-0.248101\pi\)
\(54\) −110.881 + 53.3976i −0.279426 + 0.134565i
\(55\) 866.432 + 417.252i 2.12418 + 1.02295i
\(56\) 146.436 + 309.056i 0.349434 + 0.737489i
\(57\) −243.168 + 117.104i −0.565061 + 0.272119i
\(58\) 16.9696 21.2792i 0.0384175 0.0481740i
\(59\) 142.775 + 68.7566i 0.315045 + 0.151718i 0.584723 0.811233i \(-0.301203\pi\)
−0.269678 + 0.962950i \(0.586917\pi\)
\(60\) −132.650 166.338i −0.285418 0.357903i
\(61\) 14.7619 + 64.6763i 0.0309848 + 0.135753i 0.988055 0.154104i \(-0.0492492\pi\)
−0.957070 + 0.289858i \(0.906392\pi\)
\(62\) 231.377 + 290.137i 0.473950 + 0.594314i
\(63\) 337.163 + 272.381i 0.674263 + 0.544710i
\(64\) 11.9645 15.0030i 0.0233681 0.0293026i
\(65\) −356.123 171.500i −0.679564 0.327261i
\(66\) −29.5384 129.416i −0.0550898 0.241364i
\(67\) 755.351 1.37733 0.688663 0.725082i \(-0.258198\pi\)
0.688663 + 0.725082i \(0.258198\pi\)
\(68\) −119.735 −0.213530
\(69\) 29.0558 + 127.302i 0.0506943 + 0.222106i
\(70\) 185.403 378.853i 0.316571 0.646881i
\(71\) −93.2217 + 408.431i −0.155822 + 0.682702i 0.835305 + 0.549787i \(0.185291\pi\)
−0.991127 + 0.132915i \(0.957566\pi\)
\(72\) 96.1664 421.332i 0.157407 0.689646i
\(73\) −57.6319 + 72.2682i −0.0924015 + 0.115868i −0.825883 0.563842i \(-0.809323\pi\)
0.733481 + 0.679710i \(0.237894\pi\)
\(74\) −18.1481 + 22.7570i −0.0285091 + 0.0357493i
\(75\) −79.2881 + 347.384i −0.122072 + 0.534833i
\(76\) 200.854 879.999i 0.303152 1.32819i
\(77\) −791.158 + 622.793i −1.17092 + 0.921738i
\(78\) 12.1410 + 53.1930i 0.0176243 + 0.0772169i
\(79\) −647.958 −0.922798 −0.461399 0.887193i \(-0.652652\pi\)
−0.461399 + 0.887193i \(0.652652\pi\)
\(80\) 476.948 0.666555
\(81\) −100.273 439.325i −0.137549 0.602641i
\(82\) 348.625 + 167.889i 0.469502 + 0.226100i
\(83\) 285.937 358.554i 0.378141 0.474174i −0.555947 0.831218i \(-0.687644\pi\)
0.934087 + 0.357044i \(0.116216\pi\)
\(84\) 217.480 48.1952i 0.282489 0.0626015i
\(85\) 208.208 + 261.085i 0.265687 + 0.333160i
\(86\) 112.576 + 493.228i 0.141156 + 0.618443i
\(87\) −24.9951 31.3429i −0.0308018 0.0386243i
\(88\) 904.502 + 435.585i 1.09568 + 0.527654i
\(89\) 329.450 413.117i 0.392378 0.492026i −0.545928 0.837832i \(-0.683823\pi\)
0.938306 + 0.345806i \(0.112394\pi\)
\(90\) −480.218 + 231.261i −0.562438 + 0.270856i
\(91\) 325.184 255.982i 0.374599 0.294881i
\(92\) −393.444 189.473i −0.445863 0.214716i
\(93\) 492.476 237.164i 0.549112 0.264438i
\(94\) 31.7534 139.121i 0.0348417 0.152651i
\(95\) −2268.12 + 1092.27i −2.44952 + 1.17963i
\(96\) −215.721 270.505i −0.229343 0.287587i
\(97\) −1090.75 −1.14174 −0.570871 0.821040i \(-0.693394\pi\)
−0.570871 + 0.821040i \(0.693394\pi\)
\(98\) 270.959 + 348.721i 0.279296 + 0.359450i
\(99\) 1272.36 1.29169
\(100\) −742.983 931.671i −0.742983 0.931671i
\(101\) −844.170 + 406.531i −0.831664 + 0.400508i −0.800739 0.599013i \(-0.795560\pi\)
−0.0309250 + 0.999522i \(0.509845\pi\)
\(102\) 10.2573 44.9400i 0.00995706 0.0436247i
\(103\) 377.546 181.816i 0.361172 0.173931i −0.244493 0.969651i \(-0.578622\pi\)
0.605665 + 0.795720i \(0.292907\pi\)
\(104\) −371.771 179.035i −0.350530 0.168806i
\(105\) −483.269 390.414i −0.449164 0.362862i
\(106\) −755.105 + 363.639i −0.691908 + 0.333206i
\(107\) 746.978 936.680i 0.674888 0.846283i −0.319984 0.947423i \(-0.603678\pi\)
0.994872 + 0.101140i \(0.0322489\pi\)
\(108\) −546.204 263.038i −0.486653 0.234360i
\(109\) 273.236 + 342.627i 0.240103 + 0.301080i 0.887253 0.461283i \(-0.152611\pi\)
−0.647150 + 0.762363i \(0.724039\pi\)
\(110\) −275.516 1207.11i −0.238813 1.04631i
\(111\) 26.7311 + 33.5197i 0.0228577 + 0.0286626i
\(112\) −219.507 + 448.540i −0.185191 + 0.378420i
\(113\) 619.307 776.586i 0.515571 0.646505i −0.454091 0.890955i \(-0.650036\pi\)
0.969662 + 0.244450i \(0.0786074\pi\)
\(114\) 313.082 + 150.772i 0.257218 + 0.123870i
\(115\) 271.014 + 1187.39i 0.219758 + 0.962824i
\(116\) 134.072 0.107313
\(117\) −522.971 −0.413236
\(118\) −45.4007 198.914i −0.0354193 0.155182i
\(119\) −341.358 + 75.6473i −0.262960 + 0.0582737i
\(120\) −137.839 + 603.912i −0.104858 + 0.459412i
\(121\) −361.528 + 1583.96i −0.271621 + 1.19005i
\(122\) 53.2541 66.7785i 0.0395197 0.0495561i
\(123\) 355.355 445.601i 0.260498 0.326655i
\(124\) −406.779 + 1782.21i −0.294595 + 1.29071i
\(125\) −247.538 + 1084.53i −0.177123 + 0.776029i
\(126\) 3.52525 558.048i 0.00249250 0.394562i
\(127\) −148.275 649.636i −0.103601 0.453904i −0.999944 0.0105445i \(-0.996644\pi\)
0.896344 0.443360i \(-0.146214\pi\)
\(128\) 1434.84 0.990803
\(129\) 745.177 0.508599
\(130\) 113.243 + 496.151i 0.0764007 + 0.334733i
\(131\) 151.392 + 72.9068i 0.100971 + 0.0486251i 0.483688 0.875241i \(-0.339297\pi\)
−0.382716 + 0.923866i \(0.625011\pi\)
\(132\) 407.702 511.242i 0.268832 0.337105i
\(133\) 16.6502 2635.73i 0.0108553 1.71839i
\(134\) −606.358 760.349i −0.390906 0.490180i
\(135\) 376.238 + 1648.41i 0.239863 + 1.05091i
\(136\) 217.357 + 272.557i 0.137046 + 0.171850i
\(137\) −875.406 421.573i −0.545919 0.262901i 0.140533 0.990076i \(-0.455119\pi\)
−0.686452 + 0.727175i \(0.740833\pi\)
\(138\) 104.819 131.439i 0.0646582 0.0810788i
\(139\) −304.505 + 146.642i −0.185811 + 0.0894821i −0.524476 0.851425i \(-0.675739\pi\)
0.338665 + 0.940907i \(0.390025\pi\)
\(140\) 2028.52 449.534i 1.22458 0.271376i
\(141\) −189.371 91.1965i −0.113106 0.0544690i
\(142\) 485.967 234.030i 0.287193 0.138305i
\(143\) 270.331 1184.40i 0.158085 0.692617i
\(144\) 568.549 273.799i 0.329021 0.158448i
\(145\) −233.139 292.347i −0.133525 0.167435i
\(146\) 119.010 0.0674614
\(147\) 589.576 274.803i 0.330799 0.154186i
\(148\) −143.383 −0.0796354
\(149\) 1745.19 + 2188.40i 0.959541 + 1.20323i 0.979092 + 0.203417i \(0.0652049\pi\)
−0.0195511 + 0.999809i \(0.506224\pi\)
\(150\) 413.331 199.050i 0.224989 0.108349i
\(151\) −128.057 + 561.053i −0.0690140 + 0.302370i −0.997641 0.0686442i \(-0.978133\pi\)
0.928627 + 0.371014i \(0.120990\pi\)
\(152\) −2367.78 + 1140.26i −1.26350 + 0.608471i
\(153\) 398.075 + 191.703i 0.210343 + 0.101296i
\(154\) 1262.02 + 296.447i 0.660365 + 0.155119i
\(155\) 4593.51 2212.12i 2.38038 1.14633i
\(156\) −167.575 + 210.132i −0.0860045 + 0.107846i
\(157\) 1465.90 + 705.942i 0.745171 + 0.358855i 0.767631 0.640892i \(-0.221436\pi\)
−0.0224600 + 0.999748i \(0.507150\pi\)
\(158\) 520.149 + 652.246i 0.261904 + 0.328417i
\(159\) 274.697 + 1203.52i 0.137012 + 0.600287i
\(160\) −2012.11 2523.11i −0.994195 1.24668i
\(161\) −1241.40 291.603i −0.607675 0.142742i
\(162\) −361.738 + 453.605i −0.175437 + 0.219991i
\(163\) −829.778 399.600i −0.398731 0.192019i 0.223762 0.974644i \(-0.428166\pi\)
−0.622494 + 0.782625i \(0.713880\pi\)
\(164\) 424.147 + 1858.31i 0.201953 + 0.884814i
\(165\) −1823.73 −0.860468
\(166\) −590.463 −0.276077
\(167\) −29.1075 127.528i −0.0134875 0.0590925i 0.967736 0.251965i \(-0.0810768\pi\)
−0.981224 + 0.192872i \(0.938220\pi\)
\(168\) −504.504 407.568i −0.231686 0.187170i
\(169\) 377.766 1655.10i 0.171946 0.753347i
\(170\) 95.6733 419.172i 0.0431636 0.189112i
\(171\) −2076.70 + 2604.10i −0.928708 + 1.16456i
\(172\) −1553.82 + 1948.43i −0.688824 + 0.863758i
\(173\) 438.310 1920.36i 0.192625 0.843944i −0.782564 0.622570i \(-0.786089\pi\)
0.975189 0.221374i \(-0.0710543\pi\)
\(174\) −11.4854 + 50.3210i −0.00500408 + 0.0219243i
\(175\) −2706.82 2186.73i −1.16924 0.944580i
\(176\) 326.194 + 1429.15i 0.139704 + 0.612081i
\(177\) −300.522 −0.127619
\(178\) −680.317 −0.286471
\(179\) −358.542 1570.88i −0.149713 0.655938i −0.992964 0.118417i \(-0.962218\pi\)
0.843251 0.537521i \(-0.180639\pi\)
\(180\) −2365.56 1139.20i −0.979549 0.471726i
\(181\) −158.754 + 199.071i −0.0651938 + 0.0817504i −0.813359 0.581762i \(-0.802364\pi\)
0.748165 + 0.663512i \(0.230935\pi\)
\(182\) −518.717 121.846i −0.211263 0.0496255i
\(183\) −78.4400 98.3607i −0.0316855 0.0397324i
\(184\) 282.922 + 1239.56i 0.113355 + 0.496640i
\(185\) 249.331 + 312.651i 0.0990873 + 0.124252i
\(186\) −634.068 305.351i −0.249958 0.120373i
\(187\) −639.930 + 802.447i −0.250248 + 0.313801i
\(188\) 633.325 304.993i 0.245691 0.118319i
\(189\) −1723.38 404.821i −0.663267 0.155801i
\(190\) 2920.23 + 1406.31i 1.11503 + 0.536971i
\(191\) 1479.53 712.503i 0.560497 0.269921i −0.132112 0.991235i \(-0.542176\pi\)
0.692608 + 0.721314i \(0.256461\pi\)
\(192\) −8.09786 + 35.4790i −0.00304382 + 0.0133358i
\(193\) 4150.33 1998.69i 1.54791 0.745436i 0.551839 0.833951i \(-0.313926\pi\)
0.996075 + 0.0885150i \(0.0282121\pi\)
\(194\) 875.601 + 1097.97i 0.324044 + 0.406338i
\(195\) 749.594 0.275280
\(196\) −510.831 + 2114.59i −0.186163 + 0.770622i
\(197\) −3277.42 −1.18531 −0.592655 0.805456i \(-0.701920\pi\)
−0.592655 + 0.805456i \(0.701920\pi\)
\(198\) −1021.39 1280.78i −0.366602 0.459704i
\(199\) −3524.97 + 1697.54i −1.25567 + 0.604699i −0.939026 0.343846i \(-0.888270\pi\)
−0.316644 + 0.948544i \(0.602556\pi\)
\(200\) −772.045 + 3382.55i −0.272959 + 1.19591i
\(201\) −1290.61 + 621.524i −0.452898 + 0.218104i
\(202\) 1086.88 + 523.413i 0.378577 + 0.182313i
\(203\) 382.232 84.7052i 0.132155 0.0292864i
\(204\) 204.582 98.5214i 0.0702137 0.0338131i
\(205\) 3314.53 4156.29i 1.12925 1.41604i
\(206\) −486.094 234.091i −0.164407 0.0791741i
\(207\) 1004.70 + 1259.86i 0.337351 + 0.423025i
\(208\) −134.073 587.413i −0.0446938 0.195816i
\(209\) −4824.15 6049.29i −1.59662 2.00210i
\(210\) −5.05288 + 799.872i −0.00166039 + 0.262840i
\(211\) 1249.34 1566.63i 0.407622 0.511142i −0.535069 0.844808i \(-0.679714\pi\)
0.942691 + 0.333666i \(0.108286\pi\)
\(212\) −3719.67 1791.30i −1.20504 0.580315i
\(213\) −176.788 774.559i −0.0568700 0.249164i
\(214\) −1542.51 −0.492730
\(215\) 6950.55 2.20476
\(216\) 392.770 + 1720.84i 0.123725 + 0.542075i
\(217\) −33.7207 + 5337.99i −0.0105489 + 1.66989i
\(218\) 125.554 550.088i 0.0390073 0.170902i
\(219\) 39.0068 170.900i 0.0120358 0.0527322i
\(220\) 3802.79 4768.54i 1.16538 1.46134i
\(221\) 263.026 329.824i 0.0800589 0.100391i
\(222\) 12.2831 53.8159i 0.00371347 0.0162698i
\(223\) −917.735 + 4020.86i −0.275588 + 1.20743i 0.627721 + 0.778438i \(0.283988\pi\)
−0.903309 + 0.428991i \(0.858869\pi\)
\(224\) 3298.86 731.049i 0.983992 0.218059i
\(225\) 978.486 + 4287.03i 0.289922 + 1.27023i
\(226\) −1278.87 −0.376413
\(227\) 823.029 0.240645 0.120322 0.992735i \(-0.461607\pi\)
0.120322 + 0.992735i \(0.461607\pi\)
\(228\) 380.905 + 1668.85i 0.110640 + 0.484747i
\(229\) −3843.90 1851.12i −1.10922 0.534174i −0.212676 0.977123i \(-0.568218\pi\)
−0.896547 + 0.442949i \(0.853932\pi\)
\(230\) 977.690 1225.99i 0.280291 0.351474i
\(231\) 839.338 1715.10i 0.239067 0.488509i
\(232\) −243.383 305.192i −0.0688744 0.0863658i
\(233\) 1073.60 + 4703.77i 0.301864 + 1.32255i 0.867311 + 0.497766i \(0.165846\pi\)
−0.565448 + 0.824784i \(0.691297\pi\)
\(234\) 419.815 + 526.431i 0.117283 + 0.147068i
\(235\) −1766.34 850.624i −0.490312 0.236122i
\(236\) 626.640 785.782i 0.172842 0.216737i
\(237\) 1107.12 533.158i 0.303438 0.146128i
\(238\) 350.173 + 282.891i 0.0953712 + 0.0770466i
\(239\) −3773.09 1817.02i −1.02117 0.491772i −0.153102 0.988210i \(-0.548926\pi\)
−0.868072 + 0.496439i \(0.834641\pi\)
\(240\) −814.923 + 392.446i −0.219179 + 0.105551i
\(241\) −34.0952 + 149.381i −0.00911314 + 0.0399273i −0.979280 0.202511i \(-0.935090\pi\)
0.970167 + 0.242438i \(0.0779471\pi\)
\(242\) 1884.65 907.602i 0.500621 0.241086i
\(243\) 2141.94 + 2685.91i 0.565456 + 0.709059i
\(244\) 420.746 0.110392
\(245\) 5499.19 2563.19i 1.43400 0.668394i
\(246\) −733.811 −0.190187
\(247\) 1982.83 + 2486.39i 0.510788 + 0.640508i
\(248\) 4795.34 2309.31i 1.22784 0.591297i
\(249\) −193.530 + 847.910i −0.0492549 + 0.215800i
\(250\) 1290.42 621.433i 0.326453 0.157212i
\(251\) 2131.85 + 1026.65i 0.536101 + 0.258173i 0.682287 0.731084i \(-0.260985\pi\)
−0.146186 + 0.989257i \(0.546700\pi\)
\(252\) 2160.05 1700.37i 0.539962 0.425053i
\(253\) −3372.60 + 1624.16i −0.838078 + 0.403597i
\(254\) −534.906 + 670.751i −0.132138 + 0.165696i
\(255\) −570.577 274.775i −0.140121 0.0674788i
\(256\) −1247.53 1564.35i −0.304573 0.381922i
\(257\) −1102.50 4830.36i −0.267595 1.17241i −0.912802 0.408402i \(-0.866086\pi\)
0.645207 0.764008i \(-0.276771\pi\)
\(258\) −598.191 750.108i −0.144348 0.181007i
\(259\) −408.778 + 90.5881i −0.0980704 + 0.0217331i
\(260\) −1563.03 + 1959.98i −0.372827 + 0.467510i
\(261\) −445.740 214.657i −0.105711 0.0509079i
\(262\) −48.1411 210.920i −0.0113518 0.0497354i
\(263\) −1260.39 −0.295508 −0.147754 0.989024i \(-0.547204\pi\)
−0.147754 + 0.989024i \(0.547204\pi\)
\(264\) −1903.86 −0.443843
\(265\) 2562.20 + 11225.7i 0.593942 + 2.60223i
\(266\) −2666.53 + 2099.07i −0.614645 + 0.483843i
\(267\) −222.980 + 976.941i −0.0511093 + 0.223924i
\(268\) 1066.03 4670.56i 0.242977 1.06455i
\(269\) −656.587 + 823.334i −0.148821 + 0.186615i −0.850654 0.525726i \(-0.823794\pi\)
0.701833 + 0.712341i \(0.252365\pi\)
\(270\) 1357.29 1701.99i 0.305933 0.383628i
\(271\) −1396.86 + 6120.05i −0.313112 + 1.37183i 0.536267 + 0.844048i \(0.319834\pi\)
−0.849379 + 0.527784i \(0.823023\pi\)
\(272\) −113.271 + 496.274i −0.0252503 + 0.110629i
\(273\) −344.987 + 704.946i −0.0764819 + 0.156283i
\(274\) 278.369 + 1219.62i 0.0613756 + 0.268904i
\(275\) −10214.8 −2.23992
\(276\) 828.151 0.180612
\(277\) −889.263 3896.12i −0.192890 0.845108i −0.975042 0.222020i \(-0.928735\pi\)
0.782152 0.623088i \(-0.214122\pi\)
\(278\) 392.054 + 188.803i 0.0845821 + 0.0407326i
\(279\) 4205.82 5273.94i 0.902495 1.13169i
\(280\) −4705.69 3801.54i −1.00435 0.811377i
\(281\) −1470.16 1843.52i −0.312108 0.391371i 0.600892 0.799330i \(-0.294812\pi\)
−0.913000 + 0.407959i \(0.866241\pi\)
\(282\) 60.2180 + 263.833i 0.0127161 + 0.0557128i
\(283\) −1111.28 1393.51i −0.233424 0.292704i 0.651299 0.758821i \(-0.274224\pi\)
−0.884723 + 0.466117i \(0.845653\pi\)
\(284\) 2393.89 + 1152.84i 0.500180 + 0.240874i
\(285\) 2976.61 3732.55i 0.618664 0.775780i
\(286\) −1409.24 + 678.655i −0.291364 + 0.140314i
\(287\) 2383.28 + 5029.96i 0.490176 + 1.03453i
\(288\) −3846.97 1852.60i −0.787100 0.379048i
\(289\) 4105.35 1977.03i 0.835609 0.402408i
\(290\) −107.129 + 469.363i −0.0216925 + 0.0950412i
\(291\) 1863.68 897.501i 0.375433 0.180799i
\(292\) 365.520 + 458.347i 0.0732549 + 0.0918587i
\(293\) 1402.33 0.279607 0.139804 0.990179i \(-0.455353\pi\)
0.139804 + 0.990179i \(0.455353\pi\)
\(294\) −749.904 372.878i −0.148759 0.0739684i
\(295\) −2803.08 −0.553227
\(296\) 260.286 + 326.388i 0.0511109 + 0.0640910i
\(297\) −4682.05 + 2254.76i −0.914749 + 0.440520i
\(298\) 801.928 3513.48i 0.155887 0.682987i
\(299\) 1386.22 667.566i 0.268117 0.129118i
\(300\) 2036.08 + 980.524i 0.391844 + 0.188702i
\(301\) −3198.86 + 6536.55i −0.612556 + 1.25170i
\(302\) 667.563 321.481i 0.127198 0.0612555i
\(303\) 1107.86 1389.21i 0.210049 0.263394i
\(304\) −3457.38 1664.99i −0.652284 0.314124i
\(305\) −731.640 917.447i −0.137356 0.172239i
\(306\) −126.584 554.599i −0.0236481 0.103609i
\(307\) −1126.97 1413.17i −0.209509 0.262716i 0.665963 0.745985i \(-0.268021\pi\)
−0.875472 + 0.483268i \(0.839449\pi\)
\(308\) 2734.35 + 5770.92i 0.505858 + 1.06762i
\(309\) −495.478 + 621.310i −0.0912194 + 0.114385i
\(310\) −5914.19 2848.13i −1.08356 0.521815i
\(311\) −2144.67 9396.43i −0.391040 1.71326i −0.661000 0.750386i \(-0.729868\pi\)
0.269961 0.962871i \(-0.412989\pi\)
\(312\) 782.530 0.141994
\(313\) 5013.10 0.905294 0.452647 0.891690i \(-0.350480\pi\)
0.452647 + 0.891690i \(0.350480\pi\)
\(314\) −466.141 2042.30i −0.0837766 0.367049i
\(315\) −7463.83 1753.25i −1.33504 0.313601i
\(316\) −914.462 + 4006.52i −0.162793 + 0.713242i
\(317\) −1768.05 + 7746.32i −0.313260 + 1.37248i 0.535871 + 0.844300i \(0.319983\pi\)
−0.849131 + 0.528182i \(0.822874\pi\)
\(318\) 990.975 1242.64i 0.174752 0.219132i
\(319\) 716.554 898.531i 0.125766 0.157706i
\(320\) −75.5318 + 330.926i −0.0131949 + 0.0578105i
\(321\) −505.574 + 2215.07i −0.0879078 + 0.385149i
\(322\) 702.998 + 1483.69i 0.121666 + 0.256780i
\(323\) −597.869 2619.44i −0.102992 0.451236i
\(324\) −2858.00 −0.490054
\(325\) 4198.52 0.716591
\(326\) 263.860 + 1156.05i 0.0448278 + 0.196403i
\(327\) −748.780 360.593i −0.126629 0.0609812i
\(328\) 3460.17 4338.91i 0.582487 0.730416i
\(329\) 1612.88 1269.65i 0.270277 0.212759i
\(330\) 1464.00 + 1835.80i 0.244214 + 0.306234i
\(331\) −1087.30 4763.77i −0.180554 0.791058i −0.981367 0.192144i \(-0.938456\pi\)
0.800813 0.598914i \(-0.204401\pi\)
\(332\) −1813.50 2274.06i −0.299786 0.375920i
\(333\) 476.698 + 229.565i 0.0784471 + 0.0377781i
\(334\) −105.006 + 131.674i −0.0172026 + 0.0215714i
\(335\) −12038.0 + 5797.19i −1.96330 + 0.945475i
\(336\) 5.98231 947.000i 0.000971314 0.153759i
\(337\) 6955.44 + 3349.56i 1.12429 + 0.541431i 0.901216 0.433370i \(-0.142676\pi\)
0.223077 + 0.974801i \(0.428390\pi\)
\(338\) −1969.31 + 948.368i −0.316912 + 0.152617i
\(339\) −419.163 + 1836.47i −0.0671558 + 0.294229i
\(340\) 1908.21 918.946i 0.304374 0.146579i
\(341\) 9770.09 + 12251.3i 1.55155 + 1.94559i
\(342\) 4288.40 0.678041
\(343\) −120.379 + 6351.31i −0.0189500 + 0.999820i
\(344\) 7255.95 1.13725
\(345\) −1440.08 1805.80i −0.224728 0.281800i
\(346\) −2284.92 + 1100.36i −0.355024 + 0.170970i
\(347\) 219.466 961.544i 0.0339526 0.148756i −0.955110 0.296250i \(-0.904264\pi\)
0.989063 + 0.147494i \(0.0471208\pi\)
\(348\) −229.078 + 110.318i −0.0352870 + 0.0169933i
\(349\) 9848.71 + 4742.89i 1.51057 + 0.727453i 0.991841 0.127484i \(-0.0406902\pi\)
0.518731 + 0.854937i \(0.326404\pi\)
\(350\) −28.3015 + 4480.13i −0.00432223 + 0.684209i
\(351\) 1924.43 926.756i 0.292645 0.140930i
\(352\) 6184.23 7754.78i 0.936423 1.17424i
\(353\) −7809.00 3760.62i −1.17743 0.567018i −0.260265 0.965537i \(-0.583810\pi\)
−0.917160 + 0.398519i \(0.869524\pi\)
\(354\) 241.244 + 302.511i 0.0362203 + 0.0454188i
\(355\) −1648.97 7224.60i −0.246530 1.08012i
\(356\) −2089.48 2620.12i −0.311073 0.390073i
\(357\) 521.007 410.132i 0.0772398 0.0608024i
\(358\) −1293.45 + 1621.94i −0.190953 + 0.239447i
\(359\) −2074.44 998.999i −0.304972 0.146867i 0.275138 0.961405i \(-0.411276\pi\)
−0.580110 + 0.814538i \(0.696991\pi\)
\(360\) 1701.06 + 7452.81i 0.249037 + 1.09110i
\(361\) 13395.6 1.95299
\(362\) 327.828 0.0475973
\(363\) −685.611 3003.86i −0.0991329 0.434330i
\(364\) −1123.88 2371.98i −0.161833 0.341553i
\(365\) 363.831 1594.05i 0.0521748 0.228593i
\(366\) −36.0438 + 157.918i −0.00514765 + 0.0225533i
\(367\) 339.727 426.004i 0.0483205 0.0605919i −0.757084 0.653317i \(-0.773377\pi\)
0.805405 + 0.592726i \(0.201948\pi\)
\(368\) −1157.53 + 1451.49i −0.163968 + 0.205609i
\(369\) 1565.13 6857.28i 0.220806 0.967414i
\(370\) 114.569 501.961i 0.0160978 0.0705289i
\(371\) −11736.3 2756.85i −1.64237 0.385791i
\(372\) −771.426 3379.84i −0.107518 0.471065i
\(373\) −386.955 −0.0537152 −0.0268576 0.999639i \(-0.508550\pi\)
−0.0268576 + 0.999639i \(0.508550\pi\)
\(374\) 1321.46 0.182703
\(375\) −469.437 2056.74i −0.0646443 0.283225i
\(376\) −1843.95 887.999i −0.252911 0.121795i
\(377\) −294.520 + 369.316i −0.0402349 + 0.0504529i
\(378\) 975.945 + 2059.75i 0.132797 + 0.280271i
\(379\) 2634.95 + 3304.12i 0.357120 + 0.447814i 0.927643 0.373467i \(-0.121831\pi\)
−0.570524 + 0.821281i \(0.693260\pi\)
\(380\) 3552.84 + 15566.0i 0.479623 + 2.10137i
\(381\) 787.884 + 987.976i 0.105944 + 0.132849i
\(382\) −1904.91 917.355i −0.255140 0.122869i
\(383\) 2851.26 3575.37i 0.380398 0.477005i −0.554366 0.832273i \(-0.687039\pi\)
0.934764 + 0.355269i \(0.115611\pi\)
\(384\) −2451.59 + 1180.62i −0.325800 + 0.156897i
\(385\) 7828.82 15997.4i 1.03635 2.11767i
\(386\) −5343.60 2573.34i −0.704616 0.339325i
\(387\) 8285.44 3990.06i 1.08830 0.524099i
\(388\) −1539.38 + 6744.44i −0.201417 + 0.882467i
\(389\) −11465.0 + 5521.23i −1.49434 + 0.719634i −0.989628 0.143656i \(-0.954114\pi\)
−0.504708 + 0.863290i \(0.668400\pi\)
\(390\) −601.737 754.554i −0.0781285 0.0979701i
\(391\) −1299.87 −0.168126
\(392\) 5740.82 2675.82i 0.739682 0.344769i
\(393\) −318.662 −0.0409017
\(394\) 2630.95 + 3299.10i 0.336409 + 0.421843i
\(395\) 10326.5 4972.97i 1.31540 0.633461i
\(396\) 1795.69 7867.41i 0.227870 0.998365i
\(397\) −9865.12 + 4750.79i −1.24714 + 0.600593i −0.936745 0.350014i \(-0.886177\pi\)
−0.310399 + 0.950606i \(0.600463\pi\)
\(398\) 4538.44 + 2185.60i 0.571586 + 0.275261i
\(399\) 2140.30 + 4517.15i 0.268544 + 0.566768i
\(400\) −4564.44 + 2198.12i −0.570554 + 0.274765i
\(401\) −589.343 + 739.013i −0.0733925 + 0.0920312i −0.817172 0.576393i \(-0.804460\pi\)
0.743780 + 0.668425i \(0.233031\pi\)
\(402\) 1661.67 + 800.219i 0.206161 + 0.0992819i
\(403\) −4015.73 5035.56i −0.496371 0.622430i
\(404\) 1322.33 + 5793.49i 0.162842 + 0.713458i
\(405\) 4969.79 + 6231.92i 0.609756 + 0.764609i
\(406\) −392.102 316.764i −0.0479303 0.0387210i
\(407\) −766.320 + 960.935i −0.0933294 + 0.117031i
\(408\) −595.648 286.849i −0.0722768 0.0348067i
\(409\) 23.8869 + 104.655i 0.00288785 + 0.0126525i 0.976351 0.216190i \(-0.0693631\pi\)
−0.973463 + 0.228842i \(0.926506\pi\)
\(410\) −6844.53 −0.824457
\(411\) 1842.62 0.221143
\(412\) −591.396 2591.07i −0.0707184 0.309838i
\(413\) 1290.07 2636.12i 0.153705 0.314080i
\(414\) 461.668 2022.70i 0.0548062 0.240121i
\(415\) −1805.13 + 7908.77i −0.213518 + 0.935485i
\(416\) −2541.86 + 3187.39i −0.299579 + 0.375660i
\(417\) 399.623 501.111i 0.0469295 0.0588477i
\(418\) −2216.73 + 9712.14i −0.259387 + 1.13645i
\(419\) 762.957 3342.73i 0.0889568 0.389745i −0.910775 0.412903i \(-0.864515\pi\)
0.999732 + 0.0231578i \(0.00737200\pi\)
\(420\) −3096.08 + 2437.21i −0.359699 + 0.283151i
\(421\) −2555.77 11197.5i −0.295868 1.29628i −0.876218 0.481915i \(-0.839941\pi\)
0.580350 0.814367i \(-0.302916\pi\)
\(422\) −2579.90 −0.297601
\(423\) −2593.89 −0.298154
\(424\) 2674.78 + 11719.0i 0.306365 + 1.34227i
\(425\) −3195.84 1539.03i −0.364755 0.175657i
\(426\) −637.768 + 799.735i −0.0725351 + 0.0909561i
\(427\) 1199.52 265.823i 0.135946 0.0301266i
\(428\) −4737.57 5940.72i −0.535044 0.670924i
\(429\) 512.662 + 2246.12i 0.0576960 + 0.252783i
\(430\) −5579.55 6996.54i −0.625744 0.784658i
\(431\) −2652.68 1277.46i −0.296462 0.142768i 0.279740 0.960076i \(-0.409752\pi\)
−0.576202 + 0.817307i \(0.695466\pi\)
\(432\) −1606.95 + 2015.05i −0.178969 + 0.224419i
\(433\) −10721.1 + 5162.99i −1.18989 + 0.573020i −0.920777 0.390089i \(-0.872444\pi\)
−0.269111 + 0.963109i \(0.586730\pi\)
\(434\) 5400.38 4251.13i 0.597296 0.470186i
\(435\) 638.897 + 307.677i 0.0704202 + 0.0339126i
\(436\) 2504.18 1205.95i 0.275066 0.132465i
\(437\) 2180.51 9553.45i 0.238691 1.04577i
\(438\) −203.344 + 97.9251i −0.0221829 + 0.0106827i
\(439\) −10711.6 13431.9i −1.16454 1.46029i −0.861820 0.507214i \(-0.830675\pi\)
−0.302724 0.953078i \(-0.597896\pi\)
\(440\) −17758.0 −1.92405
\(441\) 5083.91 6212.36i 0.548959 0.670809i
\(442\) −543.150 −0.0584502
\(443\) 3057.32 + 3833.76i 0.327895 + 0.411168i 0.918266 0.395965i \(-0.129590\pi\)
−0.590371 + 0.807132i \(0.701018\pi\)
\(444\) 244.988 117.980i 0.0261861 0.0126105i
\(445\) −2079.82 + 9112.30i −0.221557 + 0.970706i
\(446\) 4784.18 2303.94i 0.507931 0.244607i
\(447\) −4782.55 2303.15i −0.506055 0.243703i
\(448\) −276.453 223.336i −0.0291544 0.0235527i
\(449\) −6770.39 + 3260.45i −0.711613 + 0.342695i −0.754423 0.656388i \(-0.772083\pi\)
0.0428100 + 0.999083i \(0.486369\pi\)
\(450\) 3529.91 4426.37i 0.369782 0.463691i
\(451\) 14721.0 + 7089.25i 1.53699 + 0.740177i
\(452\) −3927.84 4925.36i −0.408739 0.512543i
\(453\) −242.850 1064.00i −0.0251878 0.110355i
\(454\) −660.687 828.475i −0.0682986 0.0856437i
\(455\) −3217.82 + 6575.30i −0.331547 + 0.677483i
\(456\) 3107.40 3896.56i 0.319117 0.400160i
\(457\) −12789.8 6159.24i −1.30915 0.630453i −0.356435 0.934320i \(-0.616008\pi\)
−0.952714 + 0.303867i \(0.901722\pi\)
\(458\) 1222.32 + 5355.32i 0.124706 + 0.546371i
\(459\) −1804.56 −0.183507
\(460\) 7724.47 0.782946
\(461\) −676.764 2965.10i −0.0683732 0.299563i 0.929167 0.369660i \(-0.120526\pi\)
−0.997540 + 0.0700978i \(0.977669\pi\)
\(462\) −2400.23 + 531.908i −0.241707 + 0.0535640i
\(463\) −1445.55 + 6333.37i −0.145098 + 0.635716i 0.849108 + 0.528220i \(0.177140\pi\)
−0.994206 + 0.107496i \(0.965717\pi\)
\(464\) 126.834 555.698i 0.0126900 0.0555983i
\(465\) −6028.37 + 7559.34i −0.601202 + 0.753883i
\(466\) 3873.06 4856.66i 0.385013 0.482791i
\(467\) −1128.71 + 4945.18i −0.111842 + 0.490012i 0.887719 + 0.460386i \(0.152289\pi\)
−0.999561 + 0.0296266i \(0.990568\pi\)
\(468\) −738.067 + 3233.68i −0.0728999 + 0.319395i
\(469\) 88.3702 13989.0i 0.00870055 1.37730i
\(470\) 561.676 + 2460.86i 0.0551238 + 0.241513i
\(471\) −3085.54 −0.301856
\(472\) −2926.25 −0.285363
\(473\) 4753.62 + 20827.0i 0.462096 + 2.02458i
\(474\) −1425.42 686.448i −0.138126 0.0665181i
\(475\) 16672.2 20906.3i 1.61047 2.01946i
\(476\) −14.0081 + 2217.48i −0.00134886 + 0.213525i
\(477\) 9498.57 + 11910.8i 0.911760 + 1.14331i
\(478\) 1199.80 + 5256.67i 0.114807 + 0.503001i
\(479\) 10388.3 + 13026.5i 0.990926 + 1.24258i 0.970077 + 0.242799i \(0.0780656\pi\)
0.0208492 + 0.999783i \(0.493363\pi\)
\(480\) 5514.01 + 2655.41i 0.524331 + 0.252505i
\(481\) 314.975 394.966i 0.0298578 0.0374405i
\(482\) 177.739 85.5947i 0.0167963 0.00808866i
\(483\) 2361.01 523.216i 0.222422 0.0492902i
\(484\) 9283.86 + 4470.87i 0.871888 + 0.419879i
\(485\) 17383.2 8371.33i 1.62749 0.783758i
\(486\) 984.240 4312.24i 0.0918642 0.402483i
\(487\) −5709.55 + 2749.57i −0.531262 + 0.255842i −0.680229 0.733000i \(-0.738119\pi\)
0.148967 + 0.988842i \(0.452405\pi\)
\(488\) −763.787 957.759i −0.0708504 0.0888436i
\(489\) 1746.58 0.161519
\(490\) −6994.63 3477.97i −0.644868 0.320651i
\(491\) 16578.4 1.52378 0.761888 0.647709i \(-0.224273\pi\)
0.761888 + 0.647709i \(0.224273\pi\)
\(492\) −2253.77 2826.14i −0.206520 0.258968i
\(493\) 359.562 173.156i 0.0328476 0.0158186i
\(494\) 911.127 3991.91i 0.0829828 0.363572i
\(495\) −20277.6 + 9765.18i −1.84123 + 0.886691i
\(496\) 7002.05 + 3372.01i 0.633874 + 0.305257i
\(497\) 7553.19 + 1774.24i 0.681704 + 0.160132i
\(498\) 1008.88 485.849i 0.0907808 0.0437177i
\(499\) 5222.45 6548.74i 0.468515 0.587499i −0.490292 0.871558i \(-0.663110\pi\)
0.958807 + 0.284059i \(0.0916813\pi\)
\(500\) 6356.64 + 3061.20i 0.568555 + 0.273802i
\(501\) 154.668 + 193.947i 0.0137925 + 0.0172953i
\(502\) −677.906 2970.10i −0.0602718 0.264068i
\(503\) −10762.2 13495.4i −0.954003 1.19628i −0.980477 0.196632i \(-0.937000\pi\)
0.0264747 0.999649i \(-0.491572\pi\)
\(504\) −7791.78 1830.28i −0.688638 0.161761i
\(505\) 10333.4 12957.7i 0.910558 1.14180i
\(506\) 4342.26 + 2091.12i 0.381496 + 0.183719i
\(507\) 716.406 + 3138.78i 0.0627548 + 0.274947i
\(508\) −4226.15 −0.369105
\(509\) −11454.8 −0.997497 −0.498748 0.866747i \(-0.666207\pi\)
−0.498748 + 0.866747i \(0.666207\pi\)
\(510\) 181.437 + 794.928i 0.0157533 + 0.0690197i
\(511\) 1331.66 + 1075.79i 0.115282 + 0.0931316i
\(512\) 1981.00 8679.33i 0.170993 0.749171i
\(513\) 3027.12 13262.7i 0.260528 1.14145i
\(514\) −3977.29 + 4987.36i −0.341305 + 0.427983i
\(515\) −4621.51 + 5795.19i −0.395433 + 0.495858i
\(516\) 1051.67 4607.66i 0.0897230 0.393102i
\(517\) 1340.82 5874.50i 0.114060 0.499730i
\(518\) 419.334 + 338.763i 0.0355685 + 0.0287344i
\(519\) 831.222 + 3641.82i 0.0703017 + 0.308012i
\(520\) 7298.95 0.615539
\(521\) −15668.6 −1.31757 −0.658784 0.752332i \(-0.728929\pi\)
−0.658784 + 0.752332i \(0.728929\pi\)
\(522\) 141.741 + 621.006i 0.0118847 + 0.0520703i
\(523\) 3291.71 + 1585.20i 0.275213 + 0.132535i 0.566400 0.824131i \(-0.308336\pi\)
−0.291187 + 0.956666i \(0.594050\pi\)
\(524\) 664.464 833.212i 0.0553955 0.0694638i
\(525\) 6424.24 + 1509.05i 0.534051 + 0.125448i
\(526\) 1011.77 + 1268.72i 0.0838697 + 0.105169i
\(527\) 1210.83 + 5305.00i 0.100085 + 0.438500i
\(528\) −1733.29 2173.47i −0.142863 0.179145i
\(529\) 6690.78 + 3222.11i 0.549912 + 0.264823i
\(530\) 9243.20 11590.6i 0.757545 0.949931i
\(531\) −3341.43 + 1609.15i −0.273081 + 0.131509i
\(532\) −16274.0 3822.75i −1.32625 0.311536i
\(533\) −6050.66 2913.84i −0.491713 0.236796i
\(534\) 1162.40 559.784i 0.0941987 0.0453637i
\(535\) −4715.68 + 20660.7i −0.381078 + 1.66961i
\(536\) −12566.9 + 6051.91i −1.01270 + 0.487692i
\(537\) 1905.17 + 2389.01i 0.153099 + 0.191980i
\(538\) 1355.86 0.108653
\(539\) 11441.5 + 14725.0i 0.914323 + 1.17672i
\(540\) 10723.6 0.854574
\(541\) 6273.90 + 7867.22i 0.498588 + 0.625209i 0.965910 0.258878i \(-0.0833526\pi\)
−0.467322 + 0.884087i \(0.654781\pi\)
\(542\) 7281.88 3506.77i 0.577091 0.277912i
\(543\) 107.449 470.764i 0.00849183 0.0372052i
\(544\) 3103.20 1494.42i 0.244575 0.117781i
\(545\) −6984.15 3363.39i −0.548932 0.264352i
\(546\) 986.549 218.626i 0.0773267 0.0171361i
\(547\) −661.926 + 318.767i −0.0517402 + 0.0249168i −0.459575 0.888139i \(-0.651998\pi\)
0.407835 + 0.913056i \(0.366284\pi\)
\(548\) −3842.17 + 4817.93i −0.299506 + 0.375569i
\(549\) −1398.83 673.640i −0.108744 0.0523684i
\(550\) 8199.95 + 10282.4i 0.635722 + 0.797170i
\(551\) 669.457 + 2933.08i 0.0517601 + 0.226776i
\(552\) −1503.35 1885.15i −0.115918 0.145357i
\(553\) −75.8061 + 12000.1i −0.00582930 + 0.922779i
\(554\) −3208.04 + 4022.76i −0.246023 + 0.308503i
\(555\) −683.269 329.045i −0.0522580 0.0251661i
\(556\) 476.984 + 2089.80i 0.0363824 + 0.159402i
\(557\) 3149.41 0.239578 0.119789 0.992799i \(-0.461778\pi\)
0.119789 + 0.992799i \(0.461778\pi\)
\(558\) −8685.06 −0.658903
\(559\) −1953.84 8560.35i −0.147833 0.647700i
\(560\) 55.7992 8833.02i 0.00421062 0.666542i
\(561\) 433.122 1897.63i 0.0325961 0.142813i
\(562\) −675.550 + 2959.78i −0.0507053 + 0.222154i
\(563\) 15060.9 18885.7i 1.12743 1.41375i 0.229660 0.973271i \(-0.426238\pi\)
0.897765 0.440476i \(-0.145190\pi\)
\(564\) −831.155 + 1042.24i −0.0620531 + 0.0778121i
\(565\) −3909.69 + 17129.5i −0.291119 + 1.27547i
\(566\) −510.643 + 2237.27i −0.0379221 + 0.166148i
\(567\) −8147.99 + 1805.65i −0.603498 + 0.133739i
\(568\) −1721.42 7542.04i −0.127164 0.557143i
\(569\) −3957.28 −0.291560 −0.145780 0.989317i \(-0.546569\pi\)
−0.145780 + 0.989317i \(0.546569\pi\)
\(570\) −6146.72 −0.451681
\(571\) −5976.55 26185.0i −0.438022 1.91910i −0.391487 0.920184i \(-0.628039\pi\)
−0.0465353 0.998917i \(-0.514818\pi\)
\(572\) −6941.96 3343.07i −0.507444 0.244372i
\(573\) −1941.68 + 2434.79i −0.141562 + 0.177513i
\(574\) 3150.07 6436.85i 0.229062 0.468064i
\(575\) −8065.97 10114.4i −0.584999 0.733565i
\(576\) 99.9348 + 437.843i 0.00722908 + 0.0316727i
\(577\) 7058.50 + 8851.08i 0.509271 + 0.638605i 0.968292 0.249820i \(-0.0803714\pi\)
−0.459022 + 0.888425i \(0.651800\pi\)
\(578\) −5285.68 2545.45i −0.380373 0.183178i
\(579\) −5446.76 + 6830.02i −0.390949 + 0.490235i
\(580\) −2136.70 + 1028.98i −0.152968 + 0.0736656i
\(581\) −6606.93 5337.47i −0.471775 0.381129i
\(582\) −2399.51 1155.54i −0.170898 0.0823003i
\(583\) −31885.0 + 15355.0i −2.26508 + 1.09080i
\(584\) 379.817 1664.09i 0.0269126 0.117912i
\(585\) 8334.55 4013.71i 0.589045 0.283669i
\(586\) −1125.72 1411.61i −0.0793567 0.0995102i
\(587\) 13346.6 0.938457 0.469228 0.883077i \(-0.344532\pi\)
0.469228 + 0.883077i \(0.344532\pi\)
\(588\) −867.125 4033.35i −0.0608157 0.282879i
\(589\) −41020.5 −2.86965
\(590\) 2250.18 + 2821.63i 0.157014 + 0.196889i
\(591\) 5599.86 2696.75i 0.389759 0.187698i
\(592\) −135.643 + 594.291i −0.00941706 + 0.0412588i
\(593\) −39.7069 + 19.1218i −0.00274969 + 0.00132418i −0.435258 0.900306i \(-0.643343\pi\)
0.432508 + 0.901630i \(0.357629\pi\)
\(594\) 6028.20 + 2903.03i 0.416397 + 0.200526i
\(595\) 4859.62 3825.45i 0.334832 0.263577i
\(596\) 15994.5 7702.55i 1.09926 0.529377i
\(597\) 4626.05 5800.89i 0.317139 0.397679i
\(598\) −1784.77 859.499i −0.122048 0.0587751i
\(599\) 6146.01 + 7706.86i 0.419231 + 0.525699i 0.945938 0.324348i \(-0.105145\pi\)
−0.526707 + 0.850047i \(0.676573\pi\)
\(600\) −1464.13 6414.75i −0.0996212 0.436469i
\(601\) −132.100 165.648i −0.00896583 0.0112428i 0.777328 0.629095i \(-0.216574\pi\)
−0.786294 + 0.617852i \(0.788003\pi\)
\(602\) 9147.69 2027.19i 0.619322 0.137246i
\(603\) −11022.0 + 13821.1i −0.744362 + 0.933401i
\(604\) 3288.43 + 1583.63i 0.221531 + 0.106683i
\(605\) −6394.95 28018.1i −0.429738 1.88281i
\(606\) −2287.74 −0.153355
\(607\) 8525.32 0.570069 0.285035 0.958517i \(-0.407995\pi\)
0.285035 + 0.958517i \(0.407995\pi\)
\(608\) 5777.76 + 25314.0i 0.385393 + 1.68852i
\(609\) −583.391 + 459.240i −0.0388181 + 0.0305572i
\(610\) −336.194 + 1472.96i −0.0223149 + 0.0977680i
\(611\) −551.106 + 2414.55i −0.0364899 + 0.159873i
\(612\) 1747.16 2190.87i 0.115400 0.144707i
\(613\) −10887.7 + 13652.8i −0.717375 + 0.899560i −0.998186 0.0602028i \(-0.980825\pi\)
0.280811 + 0.959763i \(0.409397\pi\)
\(614\) −517.849 + 2268.85i −0.0340370 + 0.149126i
\(615\) −2243.36 + 9828.81i −0.147091 + 0.644449i
\(616\) 8172.81 16700.3i 0.534565 1.09233i
\(617\) 1121.17 + 4912.17i 0.0731551 + 0.320513i 0.998244 0.0592375i \(-0.0188669\pi\)
−0.925089 + 0.379751i \(0.876010\pi\)
\(618\) 1023.17 0.0665984
\(619\) 2817.27 0.182933 0.0914665 0.995808i \(-0.470845\pi\)
0.0914665 + 0.995808i \(0.470845\pi\)
\(620\) −7195.37 31525.0i −0.466086 2.04206i
\(621\) −5929.70 2855.59i −0.383173 0.184527i
\(622\) −7736.97 + 9701.85i −0.498753 + 0.625416i
\(623\) −7612.34 6149.71i −0.489538 0.395478i
\(624\) 712.420 + 893.347i 0.0457045 + 0.0573117i
\(625\) 847.546 + 3713.34i 0.0542429 + 0.237654i
\(626\) −4024.26 5046.27i −0.256936 0.322187i
\(627\) 13220.2 + 6366.50i 0.842046 + 0.405508i
\(628\) 6433.87 8067.82i 0.408821 0.512645i
\(629\) −384.534 + 185.182i −0.0243758 + 0.0117388i
\(630\) 4226.74 + 8920.63i 0.267297 + 0.564137i
\(631\) 22980.0 + 11066.6i 1.44979 + 0.698184i 0.982559 0.185949i \(-0.0595358\pi\)
0.467235 + 0.884133i \(0.345250\pi\)
\(632\) 10780.2 5191.48i 0.678503 0.326750i
\(633\) −845.588 + 3704.76i −0.0530950 + 0.232624i
\(634\) 9216.88 4438.61i 0.577364 0.278044i
\(635\) 7348.89 + 9215.22i 0.459263 + 0.575897i
\(636\) 7829.43 0.488140
\(637\) −4702.71 6052.32i −0.292509 0.376455i
\(638\) −1479.69 −0.0918205
\(639\) −6113.05 7665.52i −0.378448 0.474559i
\(640\) −22866.9 + 11012.1i −1.41233 + 0.680144i
\(641\) 1902.48 8335.32i 0.117229 0.513612i −0.881883 0.471468i \(-0.843724\pi\)
0.999112 0.0421437i \(-0.0134187\pi\)
\(642\) 2635.57 1269.22i 0.162021 0.0780254i
\(643\) −5286.30 2545.75i −0.324216 0.156134i 0.264695 0.964332i \(-0.414729\pi\)
−0.588911 + 0.808198i \(0.700443\pi\)
\(644\) −3555.05 + 7264.38i −0.217529 + 0.444498i
\(645\) −11875.8 + 5719.11i −0.724978 + 0.349131i
\(646\) −2156.83 + 2704.58i −0.131361 + 0.164722i
\(647\) 10624.1 + 5116.32i 0.645561 + 0.310886i 0.727864 0.685722i \(-0.240513\pi\)
−0.0823029 + 0.996607i \(0.526227\pi\)
\(648\) 5188.16 + 6505.75i 0.314522 + 0.394398i
\(649\) −1917.09 8399.30i −0.115951 0.508014i
\(650\) −3370.37 4226.30i −0.203379 0.255030i
\(651\) −4334.63 9148.35i −0.260964 0.550771i
\(652\) −3641.91 + 4566.81i −0.218755 + 0.274310i
\(653\) 2796.55 + 1346.75i 0.167592 + 0.0807079i 0.515799 0.856710i \(-0.327495\pi\)
−0.348207 + 0.937418i \(0.613209\pi\)
\(654\) 238.104 + 1043.20i 0.0142364 + 0.0623737i
\(655\) −2972.28 −0.177308
\(656\) 8103.51 0.482300
\(657\) −481.379 2109.06i −0.0285850 0.125239i
\(658\) −2572.79 604.346i −0.152428 0.0358053i
\(659\) 5359.57 23481.8i 0.316812 1.38804i −0.526297 0.850301i \(-0.676420\pi\)
0.843109 0.537743i \(-0.180723\pi\)
\(660\) −2573.83 + 11276.7i −0.151797 + 0.665066i
\(661\) −8709.11 + 10920.9i −0.512474 + 0.642622i −0.968992 0.247092i \(-0.920525\pi\)
0.456518 + 0.889714i \(0.349096\pi\)
\(662\) −3922.46 + 4918.61i −0.230288 + 0.288772i
\(663\) −178.023 + 779.968i −0.0104281 + 0.0456885i
\(664\) −1884.44 + 8256.27i −0.110136 + 0.482539i
\(665\) 19963.4 + 42133.2i 1.16413 + 2.45692i
\(666\) −151.585 664.136i −0.00881950 0.0386407i
\(667\) 1455.51 0.0844943
\(668\) −829.626 −0.0480527
\(669\) −1740.42 7625.26i −0.100581 0.440672i
\(670\) 15499.0 + 7463.94i 0.893702 + 0.430384i
\(671\) 2248.70 2819.78i 0.129374 0.162230i
\(672\) −5034.97 + 3963.48i −0.289030 + 0.227522i
\(673\) 1673.30 + 2098.25i 0.0958410 + 0.120181i 0.827439 0.561555i \(-0.189797\pi\)
−0.731598 + 0.681736i \(0.761225\pi\)
\(674\) −2211.75 9690.32i −0.126400 0.553794i
\(675\) −11197.7 14041.4i −0.638517 0.800675i
\(676\) −9700.86 4671.69i −0.551938 0.265799i
\(677\) 11840.8 14847.9i 0.672200 0.842912i −0.322410 0.946600i \(-0.604493\pi\)
0.994610 + 0.103688i \(0.0330645\pi\)
\(678\) 2185.11 1052.29i 0.123774 0.0596063i
\(679\) −127.609 + 20200.6i −0.00721237 + 1.14172i
\(680\) −5555.83 2675.55i −0.313318 0.150886i
\(681\) −1406.24 + 677.212i −0.0791298 + 0.0381069i
\(682\) 4489.43 19669.5i 0.252066 1.10437i
\(683\) 9716.05 4679.00i 0.544325 0.262133i −0.141451 0.989945i \(-0.545177\pi\)
0.685777 + 0.727812i \(0.259463\pi\)
\(684\) 13171.1 + 16516.0i 0.736270 + 0.923253i
\(685\) 17186.8 0.958648
\(686\) 6489.97 4977.34i 0.361207 0.277020i
\(687\) 8090.92 0.449327
\(688\) 6605.86 + 8283.48i 0.366055 + 0.459019i
\(689\) 13105.4 6311.25i 0.724641 0.348969i
\(690\) −661.727 + 2899.21i −0.0365094 + 0.159958i
\(691\) 21120.5 10171.1i 1.16275 0.559951i 0.249911 0.968269i \(-0.419599\pi\)
0.912840 + 0.408317i \(0.133884\pi\)
\(692\) −11255.6 5420.40i −0.618314 0.297764i
\(693\) 148.857 23564.1i 0.00815960 1.29167i
\(694\) −1144.08 + 550.961i −0.0625775 + 0.0301357i
\(695\) 3727.43 4674.05i 0.203438 0.255103i
\(696\) 666.970 + 321.196i 0.0363239 + 0.0174927i
\(697\) 3537.53 + 4435.92i 0.192243 + 0.241065i
\(698\) −3131.78 13721.2i −0.169828 0.744064i
\(699\) −5704.78 7153.57i −0.308690 0.387085i
\(700\) −17341.4 + 13651.0i −0.936345 + 0.737082i
\(701\) −6212.80 + 7790.60i −0.334742 + 0.419753i −0.920506 0.390729i \(-0.872223\pi\)
0.585764 + 0.810482i \(0.300795\pi\)
\(702\) −2477.72 1193.21i −0.133213 0.0641521i
\(703\) −715.952 3136.79i −0.0384106 0.168288i
\(704\) −1043.26 −0.0558514
\(705\) 3717.92 0.198617
\(706\) 2483.18 + 10879.5i 0.132373 + 0.579966i
\(707\) 7430.15 + 15681.5i 0.395247 + 0.834177i
\(708\) −424.127 + 1858.22i −0.0225136 + 0.0986387i
\(709\) 4128.18 18086.7i 0.218670 0.958055i −0.739792 0.672835i \(-0.765076\pi\)
0.958462 0.285220i \(-0.0920666\pi\)
\(710\) −5948.70 + 7459.43i −0.314437 + 0.394292i
\(711\) 9454.94 11856.1i 0.498717 0.625371i
\(712\) −2171.21 + 9512.68i −0.114283 + 0.500706i
\(713\) −4416.07 + 19348.1i −0.231954 + 1.01626i
\(714\) −831.083 195.221i −0.0435609 0.0102324i
\(715\) 4781.79 + 20950.4i 0.250110 + 1.09581i
\(716\) −10219.2 −0.533394
\(717\) 7941.87 0.413660
\(718\) 659.650 + 2890.12i 0.0342868 + 0.150220i
\(719\) 25934.5 + 12489.4i 1.34519 + 0.647811i 0.961284 0.275559i \(-0.0888630\pi\)
0.383910 + 0.923371i \(0.374577\pi\)
\(720\) −6959.57 + 8727.03i −0.360233 + 0.451718i
\(721\) −3323.05 7013.37i −0.171646 0.362263i
\(722\) −10753.3 13484.2i −0.554289 0.695057i
\(723\) −64.6591 283.290i −0.00332600 0.0145721i
\(724\) 1006.87 + 1262.57i 0.0516849 + 0.0648108i
\(725\) 3578.50 + 1723.32i 0.183313 + 0.0882791i
\(726\) −2473.36 + 3101.49i −0.126439 + 0.158550i
\(727\) 22660.6 10912.8i 1.15603 0.556716i 0.245192 0.969474i \(-0.421149\pi\)
0.910841 + 0.412758i \(0.135435\pi\)
\(728\) −3359.21 + 6864.21i −0.171017 + 0.349457i
\(729\) 5092.12 + 2452.24i 0.258707 + 0.124587i
\(730\) −1896.66 + 913.384i −0.0961624 + 0.0463094i
\(731\) −1650.70 + 7232.19i −0.0835203 + 0.365927i
\(732\) −718.896 + 346.202i −0.0362994 + 0.0174809i
\(733\) −17132.3 21483.2i −0.863294 1.08254i −0.995818 0.0913561i \(-0.970880\pi\)
0.132525 0.991180i \(-0.457692\pi\)
\(734\) −701.539 −0.0352783
\(735\) −7286.96 + 8904.42i −0.365692 + 0.446863i
\(736\) 12561.8 0.629124
\(737\) −25604.0 32106.4i −1.27969 1.60469i
\(738\) −8159.07 + 3929.20i −0.406964 + 0.195983i
\(739\) −136.978 + 600.138i −0.00681841 + 0.0298734i −0.978223 0.207558i \(-0.933448\pi\)
0.971404 + 0.237432i \(0.0763055\pi\)
\(740\) 2285.09 1100.44i 0.113516 0.0546663i
\(741\) −5433.79 2616.77i −0.269386 0.129729i
\(742\) 6646.22 + 14027.0i 0.328828 + 0.693999i
\(743\) 400.530 192.885i 0.0197766 0.00952392i −0.423969 0.905677i \(-0.639364\pi\)
0.443746 + 0.896153i \(0.353649\pi\)
\(744\) −6293.25 + 7891.49i −0.310110 + 0.388865i
\(745\) −44608.6 21482.4i −2.19373 1.05645i
\(746\) 310.628 + 389.515i 0.0152452 + 0.0191168i
\(747\) 2388.33 + 10464.0i 0.116980 + 0.512525i
\(748\) 4058.64 + 5089.37i 0.198394 + 0.248778i
\(749\) −17259.8 13943.5i −0.842003 0.680221i
\(750\) −1693.50 + 2123.59i −0.0824507 + 0.103390i
\(751\) −16528.4 7959.65i −0.803102 0.386753i −0.0131432 0.999914i \(-0.504184\pi\)
−0.789959 + 0.613160i \(0.789898\pi\)
\(752\) −664.991 2913.52i −0.0322470 0.141283i
\(753\) −4487.28 −0.217166
\(754\) 608.186 0.0293751
\(755\) −2265.15 9924.28i −0.109189 0.478386i
\(756\) −4935.33 + 10084.9i −0.237429 + 0.485162i
\(757\) −8651.68 + 37905.5i −0.415391 + 1.81995i 0.142210 + 0.989837i \(0.454579\pi\)
−0.557601 + 0.830109i \(0.688278\pi\)
\(758\) 1210.78 5304.77i 0.0580178 0.254193i
\(759\) 4426.09 5550.15i 0.211669 0.265425i
\(760\) 28983.9 36344.6i 1.38336 1.73468i
\(761\) 7674.20 33622.9i 0.365558 1.60161i −0.373273 0.927722i \(-0.621764\pi\)
0.738830 0.673891i \(-0.235378\pi\)
\(762\) 362.039 1586.20i 0.0172117 0.0754092i
\(763\) 6377.38 5020.22i 0.302591 0.238197i
\(764\) −2317.56 10153.9i −0.109747 0.480832i
\(765\) −7815.39 −0.369367
\(766\) −5887.87 −0.277725
\(767\) 787.965 + 3452.30i 0.0370949 + 0.162523i
\(768\) 3418.75 + 1646.38i 0.160630 + 0.0773552i
\(769\) 4964.56 6225.36i 0.232804 0.291928i −0.651683 0.758491i \(-0.725937\pi\)
0.884488 + 0.466564i \(0.154508\pi\)
\(770\) −22387.9