Properties

Label 49.4.e.a.8.2
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 8.2
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.77071 - 3.47436i) q^{2} +(-6.15987 + 2.96643i) q^{3} +(-2.61419 + 11.4535i) q^{4} +(1.98451 - 0.955692i) q^{5} +(27.3737 + 13.1825i) q^{6} +(18.5202 - 0.0393741i) q^{7} +(15.0065 - 7.22673i) q^{8} +(12.3100 - 15.4362i) q^{9} +O(q^{10})\) \(q+(-2.77071 - 3.47436i) q^{2} +(-6.15987 + 2.96643i) q^{3} +(-2.61419 + 11.4535i) q^{4} +(1.98451 - 0.955692i) q^{5} +(27.3737 + 13.1825i) q^{6} +(18.5202 - 0.0393741i) q^{7} +(15.0065 - 7.22673i) q^{8} +(12.3100 - 15.4362i) q^{9} +(-8.81894 - 4.24698i) q^{10} +(-2.32728 - 2.91832i) q^{11} +(-17.8730 - 78.3069i) q^{12} +(55.9871 + 70.2055i) q^{13} +(-51.4510 - 64.2369i) q^{14} +(-9.38934 + 11.7739i) q^{15} +(17.9902 + 8.66363i) q^{16} +(12.4417 + 54.5106i) q^{17} -87.7385 q^{18} -27.6480 q^{19} +(5.75813 + 25.2280i) q^{20} +(-113.965 + 55.1816i) q^{21} +(-3.69107 + 16.1716i) q^{22} +(-12.4090 + 54.3675i) q^{23} +(-71.0001 + 89.0313i) q^{24} +(-74.9113 + 93.9358i) q^{25} +(88.7956 - 389.039i) q^{26} +(11.0395 - 48.3672i) q^{27} +(-47.9644 + 212.224i) q^{28} +(-22.1528 - 97.0578i) q^{29} +66.9219 q^{30} +99.2310 q^{31} +(-49.3954 - 216.415i) q^{32} +(22.9927 + 11.0727i) q^{33} +(154.917 - 194.260i) q^{34} +(36.7160 - 17.7778i) q^{35} +(144.618 + 181.346i) q^{36} +(79.7800 + 349.539i) q^{37} +(76.6048 + 96.0594i) q^{38} +(-553.133 - 266.375i) q^{39} +(22.8740 - 28.6831i) q^{40} +(300.534 - 144.730i) q^{41} +(507.486 + 243.065i) q^{42} +(-383.629 - 184.746i) q^{43} +(39.5089 - 19.0265i) q^{44} +(9.67706 - 42.3980i) q^{45} +(223.274 - 107.523i) q^{46} +(301.391 + 377.932i) q^{47} -136.517 q^{48} +(342.997 - 1.45843i) q^{49} +533.925 q^{50} +(-238.341 - 298.870i) q^{51} +(-950.461 + 457.718i) q^{52} +(-90.7653 + 397.669i) q^{53} +(-198.632 + 95.6563i) q^{54} +(-7.40754 - 3.56728i) q^{55} +(277.638 - 134.431i) q^{56} +(170.308 - 82.0161i) q^{57} +(-275.835 + 345.886i) q^{58} +(-515.719 - 248.357i) q^{59} +(-110.307 - 138.320i) q^{60} +(34.2558 + 150.085i) q^{61} +(-274.941 - 344.765i) q^{62} +(227.376 - 286.367i) q^{63} +(-515.449 + 646.352i) q^{64} +(178.202 + 85.8176i) q^{65} +(-25.2356 - 110.564i) q^{66} +370.306 q^{67} -656.862 q^{68} +(-84.8397 - 371.707i) q^{69} +(-163.496 - 78.3077i) q^{70} +(86.0611 - 377.058i) q^{71} +(73.1757 - 320.604i) q^{72} +(422.856 - 530.245i) q^{73} +(993.378 - 1245.66i) q^{74} +(182.789 - 800.851i) q^{75} +(72.2772 - 316.667i) q^{76} +(-43.2167 - 53.9563i) q^{77} +(607.090 + 2659.83i) q^{78} -677.093 q^{79} +43.9816 q^{80} +(194.098 + 850.397i) q^{81} +(-1335.54 - 643.160i) q^{82} +(-494.014 + 619.474i) q^{83} +(-334.096 - 1449.56i) q^{84} +(76.7860 + 96.2866i) q^{85} +(421.051 + 1844.75i) q^{86} +(424.374 + 532.148i) q^{87} +(-56.0141 - 26.9750i) q^{88} +(-80.1989 + 100.566i) q^{89} +(-174.118 + 83.8510i) q^{90} +(1039.66 + 1298.02i) q^{91} +(-590.259 - 284.254i) q^{92} +(-611.249 + 294.362i) q^{93} +(478.006 - 2094.28i) q^{94} +(-54.8679 + 26.4230i) q^{95} +(946.251 + 1186.56i) q^{96} +430.011 q^{97} +(-955.413 - 1187.66i) q^{98} -73.6966 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.77071 3.47436i −0.979595 1.22837i −0.973569 0.228391i \(-0.926653\pi\)
−0.00602555 0.999982i \(-0.501918\pi\)
\(3\) −6.15987 + 2.96643i −1.18547 + 0.570891i −0.919499 0.393091i \(-0.871406\pi\)
−0.265967 + 0.963982i \(0.585691\pi\)
\(4\) −2.61419 + 11.4535i −0.326774 + 1.43169i
\(5\) 1.98451 0.955692i 0.177500 0.0854797i −0.343023 0.939327i \(-0.611451\pi\)
0.520524 + 0.853847i \(0.325737\pi\)
\(6\) 27.3737 + 13.1825i 1.86254 + 0.896954i
\(7\) 18.5202 0.0393741i 0.999998 0.00212600i
\(8\) 15.0065 7.22673i 0.663198 0.319379i
\(9\) 12.3100 15.4362i 0.455925 0.571712i
\(10\) −8.81894 4.24698i −0.278879 0.134301i
\(11\) −2.32728 2.91832i −0.0637911 0.0799915i 0.748912 0.662669i \(-0.230576\pi\)
−0.812703 + 0.582678i \(0.802005\pi\)
\(12\) −17.8730 78.3069i −0.429958 1.88377i
\(13\) 55.9871 + 70.2055i 1.19446 + 1.49781i 0.821737 + 0.569867i \(0.193005\pi\)
0.372726 + 0.927941i \(0.378423\pi\)
\(14\) −51.4510 64.2369i −0.982204 1.22629i
\(15\) −9.38934 + 11.7739i −0.161621 + 0.202667i
\(16\) 17.9902 + 8.66363i 0.281097 + 0.135369i
\(17\) 12.4417 + 54.5106i 0.177503 + 0.777691i 0.982778 + 0.184790i \(0.0591605\pi\)
−0.805275 + 0.592901i \(0.797982\pi\)
\(18\) −87.7385 −1.14890
\(19\) −27.6480 −0.333837 −0.166918 0.985971i \(-0.553382\pi\)
−0.166918 + 0.985971i \(0.553382\pi\)
\(20\) 5.75813 + 25.2280i 0.0643778 + 0.282058i
\(21\) −113.965 + 55.1816i −1.18425 + 0.573410i
\(22\) −3.69107 + 16.1716i −0.0357700 + 0.156718i
\(23\) −12.4090 + 54.3675i −0.112498 + 0.492887i 0.887016 + 0.461738i \(0.152774\pi\)
−0.999515 + 0.0311494i \(0.990083\pi\)
\(24\) −71.0001 + 89.0313i −0.603868 + 0.757227i
\(25\) −74.9113 + 93.9358i −0.599290 + 0.751486i
\(26\) 88.7956 389.039i 0.669779 2.93449i
\(27\) 11.0395 48.3672i 0.0786871 0.344751i
\(28\) −47.9644 + 212.224i −0.323729 + 1.43238i
\(29\) −22.1528 97.0578i −0.141851 0.621489i −0.995005 0.0998296i \(-0.968170\pi\)
0.853154 0.521660i \(-0.174687\pi\)
\(30\) 66.9219 0.407274
\(31\) 99.2310 0.574916 0.287458 0.957793i \(-0.407190\pi\)
0.287458 + 0.957793i \(0.407190\pi\)
\(32\) −49.3954 216.415i −0.272874 1.19554i
\(33\) 22.9927 + 11.0727i 0.121289 + 0.0584095i
\(34\) 154.917 194.260i 0.781414 0.979863i
\(35\) 36.7160 17.7778i 0.177318 0.0858568i
\(36\) 144.618 + 181.346i 0.669529 + 0.839563i
\(37\) 79.7800 + 349.539i 0.354480 + 1.55308i 0.766708 + 0.641996i \(0.221893\pi\)
−0.412228 + 0.911081i \(0.635249\pi\)
\(38\) 76.6048 + 96.0594i 0.327025 + 0.410076i
\(39\) −553.133 266.375i −2.27108 1.09369i
\(40\) 22.8740 28.6831i 0.0904174 0.113380i
\(41\) 300.534 144.730i 1.14477 0.551292i 0.237311 0.971434i \(-0.423734\pi\)
0.907458 + 0.420142i \(0.138020\pi\)
\(42\) 507.486 + 243.065i 1.86445 + 0.892992i
\(43\) −383.629 184.746i −1.36053 0.655198i −0.395778 0.918346i \(-0.629525\pi\)
−0.964755 + 0.263148i \(0.915239\pi\)
\(44\) 39.5089 19.0265i 0.135368 0.0651898i
\(45\) 9.67706 42.3980i 0.0320571 0.140451i
\(46\) 223.274 107.523i 0.715652 0.344640i
\(47\) 301.391 + 377.932i 0.935369 + 1.17292i 0.984722 + 0.174135i \(0.0557128\pi\)
−0.0493526 + 0.998781i \(0.515716\pi\)
\(48\) −136.517 −0.410512
\(49\) 342.997 1.45843i 0.999991 0.00425200i
\(50\) 533.925 1.51017
\(51\) −238.341 298.870i −0.654401 0.820592i
\(52\) −950.461 + 457.718i −2.53471 + 1.22065i
\(53\) −90.7653 + 397.669i −0.235237 + 1.03064i 0.709986 + 0.704216i \(0.248701\pi\)
−0.945223 + 0.326426i \(0.894156\pi\)
\(54\) −198.632 + 95.6563i −0.500564 + 0.241059i
\(55\) −7.40754 3.56728i −0.0181606 0.00874568i
\(56\) 277.638 134.431i 0.662517 0.320788i
\(57\) 170.308 82.0161i 0.395752 0.190584i
\(58\) −275.835 + 345.886i −0.624464 + 0.783054i
\(59\) −515.719 248.357i −1.13798 0.548022i −0.232578 0.972578i \(-0.574716\pi\)
−0.905402 + 0.424555i \(0.860430\pi\)
\(60\) −110.307 138.320i −0.237342 0.297617i
\(61\) 34.2558 + 150.085i 0.0719018 + 0.315022i 0.998071 0.0620864i \(-0.0197754\pi\)
−0.926169 + 0.377109i \(0.876918\pi\)
\(62\) −274.941 344.765i −0.563185 0.706212i
\(63\) 227.376 286.367i 0.454709 0.572680i
\(64\) −515.449 + 646.352i −1.00674 + 1.26241i
\(65\) 178.202 + 85.8176i 0.340050 + 0.163759i
\(66\) −25.2356 110.564i −0.0470650 0.206205i
\(67\) 370.306 0.675225 0.337612 0.941285i \(-0.390381\pi\)
0.337612 + 0.941285i \(0.390381\pi\)
\(68\) −656.862 −1.17142
\(69\) −84.8397 371.707i −0.148022 0.648526i
\(70\) −163.496 78.3077i −0.279164 0.133708i
\(71\) 86.0611 377.058i 0.143853 0.630262i −0.850666 0.525707i \(-0.823801\pi\)
0.994519 0.104555i \(-0.0333418\pi\)
\(72\) 73.1757 320.604i 0.119776 0.524771i
\(73\) 422.856 530.245i 0.677967 0.850144i −0.317198 0.948359i \(-0.602742\pi\)
0.995165 + 0.0982154i \(0.0313134\pi\)
\(74\) 993.378 1245.66i 1.56051 1.95682i
\(75\) 182.789 800.851i 0.281422 1.23299i
\(76\) 72.2772 316.667i 0.109089 0.477950i
\(77\) −43.2167 53.9563i −0.0639610 0.0798557i
\(78\) 607.090 + 2659.83i 0.881274 + 3.86111i
\(79\) −677.093 −0.964290 −0.482145 0.876091i \(-0.660142\pi\)
−0.482145 + 0.876091i \(0.660142\pi\)
\(80\) 43.9816 0.0614661
\(81\) 194.098 + 850.397i 0.266252 + 1.16653i
\(82\) −1335.54 643.160i −1.79860 0.866161i
\(83\) −494.014 + 619.474i −0.653315 + 0.819231i −0.992597 0.121454i \(-0.961244\pi\)
0.339283 + 0.940685i \(0.389816\pi\)
\(84\) −334.096 1449.56i −0.433962 1.88285i
\(85\) 76.7860 + 96.2866i 0.0979837 + 0.122868i
\(86\) 421.051 + 1844.75i 0.527943 + 2.31307i
\(87\) 424.374 + 532.148i 0.522962 + 0.655773i
\(88\) −56.0141 26.9750i −0.0678537 0.0326766i
\(89\) −80.1989 + 100.566i −0.0955175 + 0.119775i −0.827293 0.561770i \(-0.810120\pi\)
0.731776 + 0.681546i \(0.238692\pi\)
\(90\) −174.118 + 83.8510i −0.203930 + 0.0982074i
\(91\) 1039.66 + 1298.02i 1.19764 + 1.49527i
\(92\) −590.259 284.254i −0.668900 0.322125i
\(93\) −611.249 + 294.362i −0.681544 + 0.328214i
\(94\) 478.006 2094.28i 0.524496 2.29797i
\(95\) −54.8679 + 26.4230i −0.0592561 + 0.0285362i
\(96\) 946.251 + 1186.56i 1.00600 + 1.26149i
\(97\) 430.011 0.450114 0.225057 0.974346i \(-0.427743\pi\)
0.225057 + 0.974346i \(0.427743\pi\)
\(98\) −955.413 1187.66i −0.984809 1.22420i
\(99\) −73.6966 −0.0748161
\(100\) −880.062 1103.56i −0.880062 1.10356i
\(101\) −1123.52 + 541.059i −1.10688 + 0.533043i −0.895814 0.444429i \(-0.853406\pi\)
−0.211062 + 0.977473i \(0.567692\pi\)
\(102\) −378.009 + 1656.17i −0.366946 + 1.60770i
\(103\) 585.492 281.958i 0.560099 0.269730i −0.132342 0.991204i \(-0.542250\pi\)
0.692441 + 0.721475i \(0.256535\pi\)
\(104\) 1347.52 + 648.933i 1.27053 + 0.611857i
\(105\) −173.429 + 218.424i −0.161190 + 0.203010i
\(106\) 1633.13 786.475i 1.49645 0.720652i
\(107\) 240.731 301.867i 0.217498 0.272734i −0.661098 0.750300i \(-0.729909\pi\)
0.878596 + 0.477565i \(0.158481\pi\)
\(108\) 525.114 + 252.882i 0.467863 + 0.225311i
\(109\) −338.350 424.278i −0.297322 0.372830i 0.610622 0.791923i \(-0.290920\pi\)
−0.907943 + 0.419093i \(0.862348\pi\)
\(110\) 8.13012 + 35.6204i 0.00704706 + 0.0308752i
\(111\) −1528.32 1916.45i −1.30686 1.63875i
\(112\) 333.524 + 159.744i 0.281384 + 0.134771i
\(113\) 1469.45 1842.63i 1.22331 1.53398i 0.460039 0.887899i \(-0.347835\pi\)
0.763269 0.646081i \(-0.223593\pi\)
\(114\) −756.829 364.470i −0.621785 0.299436i
\(115\) 27.3327 + 119.752i 0.0221634 + 0.0971040i
\(116\) 1169.56 0.936132
\(117\) 1772.91 1.40090
\(118\) 566.025 + 2479.92i 0.441584 + 1.93470i
\(119\) 232.569 + 1009.06i 0.179156 + 0.777312i
\(120\) −55.8142 + 244.538i −0.0424593 + 0.186027i
\(121\) 293.075 1284.05i 0.220192 0.964722i
\(122\) 426.536 534.859i 0.316530 0.396917i
\(123\) −1421.92 + 1783.03i −1.04236 + 1.30708i
\(124\) −259.408 + 1136.54i −0.187867 + 0.823101i
\(125\) −120.156 + 526.436i −0.0859764 + 0.376687i
\(126\) −1624.94 + 3.45463i −1.14890 + 0.00244256i
\(127\) −357.943 1568.25i −0.250097 1.09575i −0.931472 0.363812i \(-0.881475\pi\)
0.681375 0.731934i \(-0.261382\pi\)
\(128\) 1897.98 1.31062
\(129\) 2911.14 1.98691
\(130\) −195.585 856.914i −0.131953 0.578126i
\(131\) −319.823 154.019i −0.213306 0.102723i 0.324180 0.945995i \(-0.394912\pi\)
−0.537486 + 0.843273i \(0.680626\pi\)
\(132\) −186.929 + 234.401i −0.123258 + 0.154561i
\(133\) −512.048 + 1.08862i −0.333836 + 0.000709738i
\(134\) −1026.01 1286.58i −0.661447 0.829428i
\(135\) −24.3161 106.536i −0.0155022 0.0679195i
\(136\) 580.638 + 728.098i 0.366098 + 0.459072i
\(137\) −2452.87 1181.24i −1.52965 0.736643i −0.535492 0.844540i \(-0.679874\pi\)
−0.994162 + 0.107898i \(0.965588\pi\)
\(138\) −1056.38 + 1324.66i −0.651630 + 0.817118i
\(139\) 1114.32 536.629i 0.679967 0.327455i −0.0618227 0.998087i \(-0.519691\pi\)
0.741790 + 0.670632i \(0.233977\pi\)
\(140\) 107.635 + 467.002i 0.0649773 + 0.281920i
\(141\) −2977.64 1433.95i −1.77846 0.856459i
\(142\) −1548.49 + 745.712i −0.915114 + 0.440696i
\(143\) 74.5845 326.776i 0.0436159 0.191094i
\(144\) 355.193 171.052i 0.205551 0.0989883i
\(145\) −136.720 171.441i −0.0783033 0.0981892i
\(146\) −3013.88 −1.70843
\(147\) −2108.49 + 1026.46i −1.18303 + 0.575926i
\(148\) −4212.01 −2.33936
\(149\) 1512.33 + 1896.40i 0.831507 + 1.04268i 0.998391 + 0.0567001i \(0.0180579\pi\)
−0.166884 + 0.985976i \(0.553371\pi\)
\(150\) −3288.90 + 1583.85i −1.79025 + 0.862140i
\(151\) 123.301 540.215i 0.0664507 0.291139i −0.930774 0.365596i \(-0.880865\pi\)
0.997224 + 0.0744567i \(0.0237223\pi\)
\(152\) −414.899 + 199.805i −0.221400 + 0.106620i
\(153\) 994.594 + 478.971i 0.525544 + 0.253089i
\(154\) −67.7227 + 299.648i −0.0354367 + 0.156794i
\(155\) 196.925 94.8342i 0.102048 0.0491437i
\(156\) 4496.92 5638.96i 2.30796 2.89409i
\(157\) 804.712 + 387.529i 0.409064 + 0.196995i 0.627088 0.778949i \(-0.284247\pi\)
−0.218024 + 0.975943i \(0.569961\pi\)
\(158\) 1876.03 + 2352.47i 0.944614 + 1.18451i
\(159\) −620.557 2718.84i −0.309518 1.35609i
\(160\) −304.852 382.273i −0.150629 0.188883i
\(161\) −227.677 + 1007.39i −0.111450 + 0.493125i
\(162\) 2416.80 3030.57i 1.17211 1.46978i
\(163\) −1042.41 501.997i −0.500906 0.241223i 0.166330 0.986070i \(-0.446808\pi\)
−0.667236 + 0.744847i \(0.732523\pi\)
\(164\) 872.008 + 3820.52i 0.415198 + 1.81910i
\(165\) 56.2115 0.0265216
\(166\) 3521.05 1.64630
\(167\) 801.827 + 3513.04i 0.371541 + 1.62783i 0.722455 + 0.691418i \(0.243014\pi\)
−0.350914 + 0.936408i \(0.614129\pi\)
\(168\) −1311.43 + 1651.68i −0.602257 + 0.758509i
\(169\) −1305.39 + 5719.29i −0.594169 + 2.60323i
\(170\) 121.783 533.565i 0.0549430 0.240721i
\(171\) −340.347 + 426.781i −0.152205 + 0.190858i
\(172\) 3118.87 3910.94i 1.38263 1.73376i
\(173\) −261.606 + 1146.17i −0.114968 + 0.503710i 0.884351 + 0.466823i \(0.154601\pi\)
−0.999319 + 0.0368872i \(0.988256\pi\)
\(174\) 673.058 2948.86i 0.293244 1.28478i
\(175\) −1383.67 + 1742.66i −0.597691 + 0.752759i
\(176\) −16.5851 72.6639i −0.00710310 0.0311207i
\(177\) 3913.49 1.66190
\(178\) 571.612 0.240697
\(179\) −279.293 1223.66i −0.116622 0.510955i −0.999170 0.0407324i \(-0.987031\pi\)
0.882548 0.470222i \(-0.155826\pi\)
\(180\) 460.308 + 221.673i 0.190607 + 0.0917916i
\(181\) 966.945 1212.51i 0.397086 0.497930i −0.542589 0.839998i \(-0.682556\pi\)
0.939675 + 0.342068i \(0.111127\pi\)
\(182\) 1629.20 7208.58i 0.663538 2.93591i
\(183\) −656.228 822.883i −0.265081 0.332400i
\(184\) 206.684 + 905.540i 0.0828093 + 0.362811i
\(185\) 492.376 + 617.420i 0.195677 + 0.245371i
\(186\) 2716.32 + 1308.11i 1.07081 + 0.515674i
\(187\) 130.124 163.170i 0.0508856 0.0638085i
\(188\) −5116.54 + 2464.00i −1.98490 + 0.955879i
\(189\) 202.549 896.205i 0.0779539 0.344917i
\(190\) 243.826 + 117.421i 0.0931002 + 0.0448347i
\(191\) 2067.24 995.532i 0.783144 0.377142i 0.000808519 1.00000i \(-0.499743\pi\)
0.782335 + 0.622857i \(0.214028\pi\)
\(192\) 1257.73 5510.49i 0.472755 2.07128i
\(193\) 582.333 280.437i 0.217188 0.104592i −0.322127 0.946697i \(-0.604398\pi\)
0.539314 + 0.842104i \(0.318683\pi\)
\(194\) −1191.44 1494.02i −0.440929 0.552908i
\(195\) −1352.27 −0.496606
\(196\) −879.954 + 3932.33i −0.320683 + 1.43306i
\(197\) −3165.25 −1.14475 −0.572373 0.819993i \(-0.693977\pi\)
−0.572373 + 0.819993i \(0.693977\pi\)
\(198\) 204.192 + 256.049i 0.0732894 + 0.0919020i
\(199\) −181.500 + 87.4058i −0.0646542 + 0.0311358i −0.465931 0.884821i \(-0.654281\pi\)
0.401277 + 0.915957i \(0.368566\pi\)
\(200\) −445.304 + 1951.01i −0.157439 + 0.689785i
\(201\) −2281.03 + 1098.49i −0.800457 + 0.385480i
\(202\) 4992.79 + 2404.40i 1.73907 + 0.837490i
\(203\) −414.097 1796.66i −0.143172 0.621186i
\(204\) 4046.18 1948.54i 1.38867 0.668750i
\(205\) 458.097 574.436i 0.156073 0.195709i
\(206\) −2601.85 1252.99i −0.879999 0.423785i
\(207\) 686.474 + 860.811i 0.230499 + 0.289036i
\(208\) 398.984 + 1748.06i 0.133003 + 0.582723i
\(209\) 64.3448 + 80.6858i 0.0212958 + 0.0267041i
\(210\) 1239.41 2.63499i 0.407273 0.000865865i
\(211\) 1698.27 2129.56i 0.554093 0.694811i −0.423360 0.905961i \(-0.639150\pi\)
0.977454 + 0.211151i \(0.0677210\pi\)
\(212\) −4317.43 2079.16i −1.39869 0.673573i
\(213\) 588.394 + 2577.92i 0.189277 + 0.829278i
\(214\) −1715.79 −0.548080
\(215\) −937.878 −0.297501
\(216\) −183.873 805.599i −0.0579211 0.253769i
\(217\) 1837.78 3.90713i 0.574915 0.00122227i
\(218\) −536.624 + 2351.11i −0.166719 + 0.730445i
\(219\) −1031.80 + 4520.62i −0.318368 + 1.39486i
\(220\) 60.2226 75.5167i 0.0184555 0.0231424i
\(221\) −3130.37 + 3925.36i −0.952812 + 1.19479i
\(222\) −2423.92 + 10619.9i −0.732804 + 3.21062i
\(223\) −353.209 + 1547.51i −0.106066 + 0.464703i 0.893803 + 0.448461i \(0.148028\pi\)
−0.999868 + 0.0162427i \(0.994830\pi\)
\(224\) −923.335 4006.12i −0.275415 1.19495i
\(225\) 527.858 + 2312.69i 0.156402 + 0.685243i
\(226\) −10473.4 −3.08265
\(227\) 2876.55 0.841072 0.420536 0.907276i \(-0.361842\pi\)
0.420536 + 0.907276i \(0.361842\pi\)
\(228\) 494.154 + 2165.03i 0.143536 + 0.628872i
\(229\) 1069.46 + 515.025i 0.308611 + 0.148619i 0.581778 0.813347i \(-0.302357\pi\)
−0.273168 + 0.961966i \(0.588071\pi\)
\(230\) 340.332 426.763i 0.0975688 0.122347i
\(231\) 426.267 + 204.164i 0.121412 + 0.0581515i
\(232\) −1033.85 1296.40i −0.292566 0.366866i
\(233\) −163.959 718.353i −0.0461002 0.201978i 0.946633 0.322313i \(-0.104460\pi\)
−0.992733 + 0.120335i \(0.961603\pi\)
\(234\) −4912.22 6159.73i −1.37232 1.72083i
\(235\) 959.301 + 461.975i 0.266289 + 0.128238i
\(236\) 4192.74 5257.53i 1.15646 1.45015i
\(237\) 4170.80 2008.55i 1.14313 0.550504i
\(238\) 2861.45 3603.84i 0.779329 0.981522i
\(239\) 944.332 + 454.767i 0.255581 + 0.123081i 0.557288 0.830320i \(-0.311842\pi\)
−0.301707 + 0.953401i \(0.597556\pi\)
\(240\) −270.921 + 130.469i −0.0728661 + 0.0350904i
\(241\) 931.669 4081.91i 0.249021 1.09103i −0.683509 0.729942i \(-0.739547\pi\)
0.932530 0.361091i \(-0.117596\pi\)
\(242\) −5273.27 + 2539.47i −1.40074 + 0.674560i
\(243\) −2883.10 3615.29i −0.761115 0.954408i
\(244\) −1808.55 −0.474510
\(245\) 679.289 330.694i 0.177135 0.0862336i
\(246\) 10134.6 2.62667
\(247\) −1547.93 1941.05i −0.398755 0.500023i
\(248\) 1489.10 717.115i 0.381283 0.183616i
\(249\) 1205.43 5281.34i 0.306792 1.34414i
\(250\) 2161.95 1041.14i 0.546935 0.263390i
\(251\) −3516.40 1693.41i −0.884276 0.425845i −0.0640918 0.997944i \(-0.520415\pi\)
−0.820185 + 0.572099i \(0.806129\pi\)
\(252\) 2685.50 + 3352.87i 0.671313 + 0.838138i
\(253\) 187.541 90.3150i 0.0466032 0.0224429i
\(254\) −4456.92 + 5588.80i −1.10099 + 1.38060i
\(255\) −758.619 365.332i −0.186300 0.0897175i
\(256\) −1135.16 1423.44i −0.277138 0.347519i
\(257\) −112.544 493.089i −0.0273164 0.119681i 0.959431 0.281942i \(-0.0909785\pi\)
−0.986748 + 0.162261i \(0.948121\pi\)
\(258\) −8065.94 10114.4i −1.94637 2.44067i
\(259\) 1491.30 + 6470.39i 0.357781 + 1.55232i
\(260\) −1448.77 + 1816.69i −0.345572 + 0.433333i
\(261\) −1770.91 852.824i −0.419986 0.202255i
\(262\) 351.021 + 1537.92i 0.0827716 + 0.362646i
\(263\) 5882.69 1.37925 0.689623 0.724168i \(-0.257776\pi\)
0.689623 + 0.724168i \(0.257776\pi\)
\(264\) 425.059 0.0990931
\(265\) 199.924 + 875.923i 0.0463442 + 0.203047i
\(266\) 1422.52 + 1776.02i 0.327896 + 0.409380i
\(267\) 195.691 857.379i 0.0448543 0.196520i
\(268\) −968.050 + 4241.30i −0.220646 + 0.966712i
\(269\) −504.325 + 632.403i −0.114309 + 0.143339i −0.835694 0.549195i \(-0.814934\pi\)
0.721385 + 0.692534i \(0.243506\pi\)
\(270\) −302.771 + 379.663i −0.0682446 + 0.0855761i
\(271\) 1461.44 6402.97i 0.327587 1.43525i −0.496130 0.868248i \(-0.665246\pi\)
0.823716 0.567002i \(-0.191897\pi\)
\(272\) −248.431 + 1088.45i −0.0553799 + 0.242635i
\(273\) −10254.6 4911.54i −2.27340 1.08886i
\(274\) 2692.14 + 11795.0i 0.593569 + 2.60060i
\(275\) 448.474 0.0983419
\(276\) 4479.14 0.976856
\(277\) −1328.96 5822.55i −0.288265 1.26297i −0.886904 0.461953i \(-0.847149\pi\)
0.598639 0.801019i \(-0.295708\pi\)
\(278\) −4951.91 2384.71i −1.06833 0.514480i
\(279\) 1221.53 1531.75i 0.262119 0.328687i
\(280\) 422.502 532.118i 0.0901762 0.113572i
\(281\) 3133.38 + 3929.13i 0.665202 + 0.834137i 0.993898 0.110299i \(-0.0351808\pi\)
−0.328697 + 0.944436i \(0.606609\pi\)
\(282\) 3268.10 + 14318.5i 0.690115 + 3.02359i
\(283\) −1253.21 1571.47i −0.263234 0.330086i 0.632596 0.774482i \(-0.281990\pi\)
−0.895830 + 0.444397i \(0.853418\pi\)
\(284\) 4093.66 + 1971.40i 0.855331 + 0.411906i
\(285\) 259.597 325.524i 0.0539551 0.0676575i
\(286\) −1341.99 + 646.269i −0.277460 + 0.133618i
\(287\) 5560.26 2692.26i 1.14359 0.553724i
\(288\) −3948.69 1901.59i −0.807913 0.389071i
\(289\) 1609.85 775.265i 0.327672 0.157799i
\(290\) −216.838 + 950.030i −0.0439075 + 0.192371i
\(291\) −2648.81 + 1275.60i −0.533595 + 0.256966i
\(292\) 4967.74 + 6229.35i 0.995600 + 1.24844i
\(293\) 5065.33 1.00997 0.504983 0.863129i \(-0.331499\pi\)
0.504983 + 0.863129i \(0.331499\pi\)
\(294\) 9408.32 + 4481.63i 1.86634 + 0.889026i
\(295\) −1260.80 −0.248837
\(296\) 3723.24 + 4668.79i 0.731110 + 0.916783i
\(297\) −166.843 + 80.3473i −0.0325966 + 0.0156977i
\(298\) 2398.55 10508.7i 0.466256 2.04280i
\(299\) −4511.65 + 2172.69i −0.872626 + 0.420235i
\(300\) 8694.71 + 4187.15i 1.67330 + 0.805818i
\(301\) −7112.17 3406.43i −1.36192 0.652304i
\(302\) −2218.53 + 1068.39i −0.422723 + 0.203573i
\(303\) 5315.72 6665.70i 1.00785 1.26381i
\(304\) −497.394 239.532i −0.0938405 0.0451912i
\(305\) 211.416 + 265.107i 0.0396906 + 0.0497705i
\(306\) −1091.61 4782.68i −0.203933 0.893488i
\(307\) −215.351 270.042i −0.0400350 0.0502022i 0.761411 0.648270i \(-0.224507\pi\)
−0.801446 + 0.598067i \(0.795936\pi\)
\(308\) 730.965 353.931i 0.135229 0.0654775i
\(309\) −2770.14 + 3473.65i −0.509993 + 0.639511i
\(310\) −875.112 421.432i −0.160332 0.0772120i
\(311\) 1408.56 + 6171.30i 0.256823 + 1.12522i 0.924626 + 0.380877i \(0.124378\pi\)
−0.667802 + 0.744339i \(0.732765\pi\)
\(312\) −10225.6 −1.85548
\(313\) −4465.91 −0.806480 −0.403240 0.915094i \(-0.632116\pi\)
−0.403240 + 0.915094i \(0.632116\pi\)
\(314\) −883.210 3869.59i −0.158734 0.695458i
\(315\) 177.552 785.601i 0.0317585 0.140519i
\(316\) 1770.05 7755.09i 0.315104 1.38056i
\(317\) 1459.57 6394.78i 0.258604 1.13302i −0.664141 0.747607i \(-0.731203\pi\)
0.922745 0.385410i \(-0.125940\pi\)
\(318\) −7726.84 + 9689.15i −1.36258 + 1.70862i
\(319\) −231.690 + 290.530i −0.0406650 + 0.0509923i
\(320\) −405.202 + 1775.31i −0.0707858 + 0.310133i
\(321\) −587.401 + 2573.57i −0.102136 + 0.447485i
\(322\) 4130.86 2000.15i 0.714918 0.346161i
\(323\) −343.988 1507.11i −0.0592570 0.259622i
\(324\) −10247.4 −1.75710
\(325\) −10788.9 −1.84141
\(326\) 1144.09 + 5012.59i 0.194372 + 0.851600i
\(327\) 3342.79 + 1609.80i 0.565310 + 0.272239i
\(328\) 3464.03 4343.75i 0.583137 0.731231i
\(329\) 5596.70 + 6987.52i 0.937861 + 1.17092i
\(330\) −155.746 195.299i −0.0259804 0.0325784i
\(331\) −948.583 4156.01i −0.157519 0.690136i −0.990578 0.136952i \(-0.956270\pi\)
0.833059 0.553185i \(-0.186588\pi\)
\(332\) −5803.71 7277.62i −0.959397 1.20305i
\(333\) 6377.65 + 3071.31i 1.04953 + 0.505426i
\(334\) 9983.93 12519.5i 1.63562 2.05100i
\(335\) 734.878 353.898i 0.119853 0.0577180i
\(336\) −2528.33 + 5.37525i −0.410511 + 0.000872750i
\(337\) −2303.97 1109.53i −0.372419 0.179347i 0.238307 0.971190i \(-0.423408\pi\)
−0.610725 + 0.791843i \(0.709122\pi\)
\(338\) 23487.7 11311.1i 3.77978 1.82025i
\(339\) −3585.56 + 15709.3i −0.574456 + 2.51686i
\(340\) −1303.55 + 627.758i −0.207927 + 0.100132i
\(341\) −230.938 289.588i −0.0366745 0.0459884i
\(342\) 2425.80 0.383544
\(343\) 6352.32 40.5157i 0.999980 0.00637797i
\(344\) −7092.03 −1.11156
\(345\) −523.603 656.577i −0.0817097 0.102461i
\(346\) 4707.05 2266.80i 0.731366 0.352207i
\(347\) −1246.83 + 5462.73i −0.192892 + 0.845115i 0.782149 + 0.623091i \(0.214123\pi\)
−0.975041 + 0.222024i \(0.928734\pi\)
\(348\) −7204.36 + 3469.44i −1.10975 + 0.534429i
\(349\) 7490.57 + 3607.27i 1.14888 + 0.553274i 0.908699 0.417453i \(-0.137077\pi\)
0.240186 + 0.970727i \(0.422791\pi\)
\(350\) 9888.40 21.0228i 1.51016 0.00321062i
\(351\) 4013.71 1932.90i 0.610359 0.293934i
\(352\) −516.612 + 647.811i −0.0782259 + 0.0980922i
\(353\) −6551.85 3155.20i −0.987874 0.475735i −0.131068 0.991373i \(-0.541841\pi\)
−0.856806 + 0.515638i \(0.827555\pi\)
\(354\) −10843.2 13596.9i −1.62799 2.04143i
\(355\) −189.562 830.525i −0.0283406 0.124168i
\(356\) −942.181 1181.46i −0.140268 0.175891i
\(357\) −4425.90 5525.76i −0.656144 0.819199i
\(358\) −3477.61 + 4360.79i −0.513401 + 0.643784i
\(359\) 2097.36 + 1010.04i 0.308341 + 0.148489i 0.581655 0.813436i \(-0.302405\pi\)
−0.273314 + 0.961925i \(0.588120\pi\)
\(360\) −161.180 706.177i −0.0235971 0.103385i
\(361\) −6094.59 −0.888553
\(362\) −6891.83 −1.00063
\(363\) 2003.73 + 8778.94i 0.289721 + 1.26935i
\(364\) −17584.7 + 8514.45i −2.53211 + 1.22604i
\(365\) 332.414 1456.40i 0.0476694 0.208853i
\(366\) −1040.78 + 4559.95i −0.148640 + 0.651236i
\(367\) 126.986 159.235i 0.0180616 0.0226485i −0.772719 0.634749i \(-0.781104\pi\)
0.790780 + 0.612100i \(0.209675\pi\)
\(368\) −694.261 + 870.576i −0.0983447 + 0.123320i
\(369\) 1465.49 6420.73i 0.206749 0.905826i
\(370\) 780.909 3421.39i 0.109723 0.480728i
\(371\) −1665.34 + 7368.49i −0.233046 + 1.03114i
\(372\) −1773.56 7770.47i −0.247190 1.08301i
\(373\) −2267.07 −0.314703 −0.157352 0.987543i \(-0.550296\pi\)
−0.157352 + 0.987543i \(0.550296\pi\)
\(374\) −927.449 −0.128228
\(375\) −821.497 3599.21i −0.113125 0.495633i
\(376\) 7254.02 + 3493.35i 0.994940 + 0.479138i
\(377\) 5573.73 6989.23i 0.761437 0.954811i
\(378\) −3674.95 + 1779.40i −0.500050 + 0.242122i
\(379\) 1454.03 + 1823.30i 0.197067 + 0.247115i 0.870540 0.492097i \(-0.163770\pi\)
−0.673473 + 0.739212i \(0.735198\pi\)
\(380\) −159.201 697.505i −0.0214917 0.0941612i
\(381\) 6857.00 + 8598.40i 0.922033 + 1.15619i
\(382\) −9186.58 4424.02i −1.23044 0.592546i
\(383\) 1684.31 2112.06i 0.224711 0.281779i −0.656677 0.754172i \(-0.728038\pi\)
0.881388 + 0.472394i \(0.156610\pi\)
\(384\) −11691.3 + 5630.22i −1.55369 + 0.748219i
\(385\) −137.330 65.7752i −0.0181791 0.00870705i
\(386\) −2587.82 1246.23i −0.341234 0.164330i
\(387\) −7574.25 + 3647.57i −0.994886 + 0.479112i
\(388\) −1124.13 + 4925.14i −0.147085 + 0.644423i
\(389\) 5195.84 2502.19i 0.677223 0.326133i −0.0634637 0.997984i \(-0.520215\pi\)
0.740686 + 0.671851i \(0.234500\pi\)
\(390\) 3746.76 + 4698.29i 0.486473 + 0.610018i
\(391\) −3117.99 −0.403283
\(392\) 5136.63 2500.63i 0.661834 0.322196i
\(393\) 2426.95 0.311510
\(394\) 8770.01 + 10997.2i 1.12139 + 1.40618i
\(395\) −1343.70 + 647.092i −0.171162 + 0.0824272i
\(396\) 192.657 844.085i 0.0244479 0.107113i
\(397\) −10664.0 + 5135.53i −1.34814 + 0.649232i −0.961960 0.273190i \(-0.911921\pi\)
−0.386183 + 0.922422i \(0.626207\pi\)
\(398\) 806.564 + 388.421i 0.101581 + 0.0489190i
\(399\) 3150.92 1525.66i 0.395346 0.191425i
\(400\) −2161.49 + 1040.92i −0.270187 + 0.130115i
\(401\) 635.235 796.559i 0.0791075 0.0991977i −0.740703 0.671833i \(-0.765507\pi\)
0.819810 + 0.572635i \(0.194079\pi\)
\(402\) 10136.6 + 4881.55i 1.25764 + 0.605646i
\(403\) 5555.65 + 6966.57i 0.686716 + 0.861115i
\(404\) −3259.93 14282.7i −0.401454 1.75889i
\(405\) 1197.91 + 1502.13i 0.146974 + 0.184300i
\(406\) −5094.91 + 6416.75i −0.622798 + 0.784379i
\(407\) 834.395 1046.30i 0.101620 0.127428i
\(408\) −5736.51 2762.56i −0.696077 0.335213i
\(409\) −1853.78 8121.95i −0.224116 0.981918i −0.954343 0.298713i \(-0.903443\pi\)
0.730226 0.683205i \(-0.239415\pi\)
\(410\) −3265.05 −0.393292
\(411\) 18613.4 2.23390
\(412\) 1698.82 + 7443.03i 0.203143 + 0.890028i
\(413\) −9561.00 4579.32i −1.13914 0.545602i
\(414\) 1088.75 4770.12i 0.129249 0.566277i
\(415\) −388.352 + 1701.48i −0.0459360 + 0.201259i
\(416\) 12428.1 15584.3i 1.46475 1.83674i
\(417\) −5272.19 + 6611.12i −0.619138 + 0.776374i
\(418\) 102.051 447.114i 0.0119413 0.0523184i
\(419\) −841.566 + 3687.14i −0.0981222 + 0.429901i −0.999998 0.00209444i \(-0.999333\pi\)
0.901876 + 0.431996i \(0.142190\pi\)
\(420\) −2048.35 2557.37i −0.237974 0.297112i
\(421\) −2310.29 10122.0i −0.267450 1.17177i −0.912968 0.408030i \(-0.866216\pi\)
0.645519 0.763745i \(-0.276641\pi\)
\(422\) −12104.3 −1.39627
\(423\) 9543.96 1.09703
\(424\) 1511.78 + 6623.54i 0.173157 + 0.758649i
\(425\) −6052.51 2914.74i −0.690800 0.332672i
\(426\) 7326.37 9186.98i 0.833248 1.04486i
\(427\) 640.335 + 2778.25i 0.0725714 + 0.314869i
\(428\) 2828.12 + 3546.35i 0.319398 + 0.400513i
\(429\) 509.930 + 2234.15i 0.0573884 + 0.251435i
\(430\) 2598.59 + 3258.53i 0.291431 + 0.365443i
\(431\) −2959.09 1425.02i −0.330706 0.159260i 0.261161 0.965295i \(-0.415895\pi\)
−0.591867 + 0.806036i \(0.701609\pi\)
\(432\) 617.638 774.493i 0.0687873 0.0862565i
\(433\) −4220.36 + 2032.42i −0.468400 + 0.225570i −0.653169 0.757212i \(-0.726561\pi\)
0.184768 + 0.982782i \(0.440847\pi\)
\(434\) −5105.53 6374.29i −0.564685 0.705013i
\(435\) 1350.75 + 650.485i 0.148881 + 0.0716974i
\(436\) 5743.98 2766.16i 0.630933 0.303841i
\(437\) 343.085 1503.16i 0.0375561 0.164544i
\(438\) 18565.1 8940.47i 2.02528 0.975325i
\(439\) 9780.00 + 12263.7i 1.06327 + 1.33329i 0.940096 + 0.340909i \(0.110735\pi\)
0.123170 + 0.992386i \(0.460694\pi\)
\(440\) −136.941 −0.0148372
\(441\) 4199.77 5312.53i 0.453490 0.573646i
\(442\) 22311.5 2.40102
\(443\) 5257.22 + 6592.34i 0.563833 + 0.707024i 0.979261 0.202602i \(-0.0649397\pi\)
−0.415428 + 0.909626i \(0.636368\pi\)
\(444\) 25945.4 12494.6i 2.77323 1.33552i
\(445\) −63.0455 + 276.220i −0.00671605 + 0.0294250i
\(446\) 6355.25 3060.53i 0.674730 0.324933i
\(447\) −14941.3 7195.33i −1.58098 0.761359i
\(448\) −9520.77 + 11990.9i −1.00405 + 1.26454i
\(449\) −6559.76 + 3159.01i −0.689474 + 0.332033i −0.745603 0.666390i \(-0.767839\pi\)
0.0561288 + 0.998424i \(0.482124\pi\)
\(450\) 6572.60 8241.78i 0.688523 0.863381i
\(451\) −1121.79 540.228i −0.117125 0.0564043i
\(452\) 17263.1 + 21647.3i 1.79644 + 2.25266i
\(453\) 842.998 + 3693.41i 0.0874337 + 0.383072i
\(454\) −7970.09 9994.18i −0.823910 1.03315i
\(455\) 3303.72 + 1582.34i 0.340397 + 0.163036i
\(456\) 1963.01 2461.54i 0.201593 0.252790i
\(457\) −9253.93 4456.46i −0.947223 0.456158i −0.104511 0.994524i \(-0.533328\pi\)
−0.842712 + 0.538365i \(0.819042\pi\)
\(458\) −1173.78 5142.68i −0.119754 0.524676i
\(459\) 2773.87 0.282077
\(460\) −1443.04 −0.146265
\(461\) −311.838 1366.25i −0.0315049 0.138032i 0.956730 0.290979i \(-0.0939809\pi\)
−0.988234 + 0.152947i \(0.951124\pi\)
\(462\) −471.723 2046.68i −0.0475033 0.206105i
\(463\) −429.861 + 1883.34i −0.0431476 + 0.189042i −0.991909 0.126952i \(-0.959481\pi\)
0.948761 + 0.315994i \(0.102338\pi\)
\(464\) 442.339 1938.01i 0.0442566 0.193901i
\(465\) −931.714 + 1168.33i −0.0929187 + 0.116516i
\(466\) −2041.54 + 2560.01i −0.202945 + 0.254485i
\(467\) −117.368 + 514.224i −0.0116299 + 0.0509539i −0.980410 0.196968i \(-0.936890\pi\)
0.968780 + 0.247922i \(0.0797476\pi\)
\(468\) −4634.72 + 20306.0i −0.457777 + 2.00565i
\(469\) 6858.15 14.5805i 0.675223 0.00143553i
\(470\) −1052.88 4612.96i −0.103331 0.452723i
\(471\) −6106.50 −0.597394
\(472\) −9533.91 −0.929733
\(473\) 353.665 + 1549.51i 0.0343796 + 0.150627i
\(474\) −18534.5 8925.76i −1.79603 0.864924i
\(475\) 2071.15 2597.14i 0.200065 0.250874i
\(476\) −12165.2 + 25.8634i −1.17141 + 0.00249043i
\(477\) 5021.19 + 6296.37i 0.481980 + 0.604384i
\(478\) −1036.45 4540.98i −0.0991759 0.434518i
\(479\) −4992.52 6260.42i −0.476230 0.597173i 0.484455 0.874816i \(-0.339018\pi\)
−0.960684 + 0.277643i \(0.910447\pi\)
\(480\) 3011.84 + 1450.42i 0.286398 + 0.137922i
\(481\) −20072.9 + 25170.6i −1.90280 + 2.38603i
\(482\) −16763.4 + 8072.84i −1.58414 + 0.762880i
\(483\) −1585.89 6880.76i −0.149400 0.648210i
\(484\) 13940.7 + 6713.47i 1.30923 + 0.630492i
\(485\) 853.364 410.958i 0.0798954 0.0384756i
\(486\) −4572.60 + 20033.9i −0.426785 + 1.86987i
\(487\) 360.011 173.372i 0.0334982 0.0161319i −0.417060 0.908879i \(-0.636939\pi\)
0.450558 + 0.892747i \(0.351225\pi\)
\(488\) 1598.68 + 2004.68i 0.148297 + 0.185958i
\(489\) 7910.23 0.731519
\(490\) −3031.06 1443.84i −0.279448 0.133114i
\(491\) −20175.1 −1.85436 −0.927179 0.374619i \(-0.877773\pi\)
−0.927179 + 0.374619i \(0.877773\pi\)
\(492\) −16704.8 20947.1i −1.53071 1.91945i
\(493\) 5015.06 2415.13i 0.458148 0.220632i
\(494\) −2455.02 + 10756.2i −0.223597 + 0.979641i
\(495\) −146.252 + 70.4313i −0.0132799 + 0.00639525i
\(496\) 1785.19 + 859.700i 0.161607 + 0.0778260i
\(497\) 1579.02 6986.59i 0.142513 0.630566i
\(498\) −21689.2 + 10445.0i −1.95164 + 0.939860i
\(499\) −4444.35 + 5573.03i −0.398710 + 0.499966i −0.940144 0.340777i \(-0.889310\pi\)
0.541434 + 0.840743i \(0.317881\pi\)
\(500\) −5715.43 2752.41i −0.511204 0.246183i
\(501\) −15360.3 19261.3i −1.36976 1.71762i
\(502\) 3859.42 + 16909.2i 0.343136 + 1.50338i
\(503\) 7726.70 + 9688.97i 0.684923 + 0.858867i 0.995797 0.0915844i \(-0.0291931\pi\)
−0.310874 + 0.950451i \(0.600622\pi\)
\(504\) 1342.61 5940.53i 0.118660 0.525025i
\(505\) −1712.56 + 2147.48i −0.150907 + 0.189231i
\(506\) −833.409 401.349i −0.0732205 0.0352611i
\(507\) −8924.87 39102.4i −0.781789 3.42524i
\(508\) 18897.7 1.65049
\(509\) 15904.7 1.38500 0.692500 0.721417i \(-0.256509\pi\)
0.692500 + 0.721417i \(0.256509\pi\)
\(510\) 832.621 + 3647.95i 0.0722923 + 0.316733i
\(511\) 7810.52 9836.91i 0.676158 0.851583i
\(512\) 1578.36 6915.23i 0.136238 0.596900i
\(513\) −305.220 + 1337.26i −0.0262686 + 0.115090i
\(514\) −1401.34 + 1757.23i −0.120254 + 0.150794i
\(515\) 892.452 1119.10i 0.0763614 0.0957542i
\(516\) −7610.28 + 33342.8i −0.649271 + 2.84464i
\(517\) 401.505 1759.11i 0.0341551 0.149643i
\(518\) 18348.5 23108.9i 1.55635 1.96013i
\(519\) −1788.58 7836.30i −0.151272 0.662766i
\(520\) 3294.36 0.277822
\(521\) −3469.67 −0.291764 −0.145882 0.989302i \(-0.546602\pi\)
−0.145882 + 0.989302i \(0.546602\pi\)
\(522\) 1943.65 + 8515.71i 0.162972 + 0.714028i
\(523\) −16128.2 7766.92i −1.34844 0.649376i −0.386415 0.922325i \(-0.626287\pi\)
−0.962029 + 0.272949i \(0.912001\pi\)
\(524\) 2600.13 3260.46i 0.216770 0.271821i
\(525\) 3353.76 14839.1i 0.278800 1.23359i
\(526\) −16299.2 20438.6i −1.35110 1.69423i
\(527\) 1234.60 + 5409.14i 0.102049 + 0.447108i
\(528\) 317.714 + 398.401i 0.0261870 + 0.0328375i
\(529\) 8160.25 + 3929.77i 0.670687 + 0.322986i
\(530\) 2489.35 3121.54i 0.204019 0.255832i
\(531\) −10182.2 + 4903.48i −0.832145 + 0.400740i
\(532\) 1326.12 5867.59i 0.108073 0.478181i
\(533\) 26986.8 + 12996.2i 2.19311 + 1.05615i
\(534\) −3521.05 + 1695.65i −0.285338 + 0.137412i
\(535\) 189.242 829.124i 0.0152928 0.0670022i
\(536\) 5556.98 2676.10i 0.447808 0.215653i
\(537\) 5350.32 + 6709.10i 0.429951 + 0.539141i
\(538\) 3594.54 0.288051
\(539\) −802.507 997.580i −0.0641306 0.0797195i
\(540\) 1283.77 0.102305
\(541\) 7708.80 + 9666.53i 0.612619 + 0.768200i 0.987285 0.158960i \(-0.0508139\pi\)
−0.374666 + 0.927160i \(0.622243\pi\)
\(542\) −26295.5 + 12663.2i −2.08393 + 1.00357i
\(543\) −2359.42 + 10337.3i −0.186468 + 0.816971i
\(544\) 11182.4 5385.14i 0.881323 0.424423i
\(545\) −1076.94 518.627i −0.0846441 0.0407625i
\(546\) 11348.2 + 49236.8i 0.889481 + 3.85923i
\(547\) 9606.83 4626.40i 0.750929 0.361628i −0.0189481 0.999820i \(-0.506032\pi\)
0.769877 + 0.638192i \(0.220317\pi\)
\(548\) 19941.6 25006.0i 1.55449 1.94927i
\(549\) 2738.43 + 1318.76i 0.212884 + 0.102520i
\(550\) −1242.59 1558.16i −0.0963352 0.120800i
\(551\) 612.482 + 2683.46i 0.0473550 + 0.207476i
\(552\) −3959.37 4964.89i −0.305293 0.382826i
\(553\) −12539.9 + 26.6599i −0.964288 + 0.00205008i
\(554\) −16547.5 + 20749.9i −1.26902 + 1.59130i
\(555\) −4864.50 2342.62i −0.372048 0.179169i
\(556\) 3233.24 + 14165.7i 0.246618 + 1.08051i
\(557\) 24249.3 1.84466 0.922331 0.386401i \(-0.126282\pi\)
0.922331 + 0.386401i \(0.126282\pi\)
\(558\) −8706.38 −0.660520
\(559\) −8508.07 37276.3i −0.643744 2.82043i
\(560\) 814.549 1.73174i 0.0614660 0.000130677i
\(561\) −317.512 + 1391.11i −0.0238955 + 0.104693i
\(562\) 4969.54 21773.0i 0.373003 1.63423i
\(563\) 5424.58 6802.21i 0.406073 0.509199i −0.536179 0.844104i \(-0.680133\pi\)
0.942252 + 0.334905i \(0.108704\pi\)
\(564\) 24207.9 30355.8i 1.80733 2.26633i
\(565\) 1155.15 5061.06i 0.0860135 0.376850i
\(566\) −1987.59 + 8708.19i −0.147605 + 0.646700i
\(567\) 3628.21 + 15741.9i 0.268731 + 1.16596i
\(568\) −1433.43 6280.25i −0.105889 0.463932i
\(569\) 10763.3 0.793007 0.396504 0.918033i \(-0.370223\pi\)
0.396504 + 0.918033i \(0.370223\pi\)
\(570\) −1850.26 −0.135963
\(571\) 1698.94 + 7443.56i 0.124516 + 0.545540i 0.998250 + 0.0591359i \(0.0188345\pi\)
−0.873734 + 0.486404i \(0.838308\pi\)
\(572\) 3547.76 + 1708.51i 0.259334 + 0.124889i
\(573\) −9780.76 + 12264.7i −0.713084 + 0.894179i
\(574\) −24759.7 11858.9i −1.80044 0.862335i
\(575\) −4177.48 5238.39i −0.302979 0.379923i
\(576\) 3632.08 + 15913.2i 0.262737 + 1.15113i
\(577\) 17099.4 + 21441.9i 1.23372 + 1.54703i 0.730578 + 0.682829i \(0.239251\pi\)
0.503141 + 0.864205i \(0.332178\pi\)
\(578\) −7153.99 3445.18i −0.514822 0.247925i
\(579\) −2755.20 + 3454.91i −0.197758 + 0.247981i
\(580\) 2321.02 1117.74i 0.166164 0.0800203i
\(581\) −9124.86 + 11492.2i −0.651571 + 0.820618i
\(582\) 11771.0 + 5668.61i 0.838357 + 0.403731i
\(583\) 1371.76 660.605i 0.0974486 0.0469288i
\(584\) 2513.64 11013.0i 0.178108 0.780342i
\(585\) 3518.36 1694.35i 0.248660 0.119749i
\(586\) −14034.6 17598.8i −0.989357 1.24061i
\(587\) −5616.82 −0.394942 −0.197471 0.980309i \(-0.563273\pi\)
−0.197471 + 0.980309i \(0.563273\pi\)
\(588\) −6244.60 26833.0i −0.437964 1.88193i
\(589\) −2743.54 −0.191928
\(590\) 3493.32 + 4380.49i 0.243759 + 0.305664i
\(591\) 19497.5 9389.52i 1.35706 0.653525i
\(592\) −1593.02 + 6979.46i −0.110596 + 0.484551i
\(593\) 12517.3 6028.03i 0.866821 0.417439i 0.0530275 0.998593i \(-0.483113\pi\)
0.813794 + 0.581154i \(0.197399\pi\)
\(594\) 741.429 + 357.053i 0.0512142 + 0.0246634i
\(595\) 1425.88 + 1780.23i 0.0982447 + 0.122659i
\(596\) −25673.9 + 12363.9i −1.76450 + 0.849740i
\(597\) 858.732 1076.82i 0.0588703 0.0738210i
\(598\) 20049.2 + 9655.19i 1.37102 + 0.660251i
\(599\) −15542.2 19489.3i −1.06016 1.32940i −0.941705 0.336439i \(-0.890777\pi\)
−0.118455 0.992959i \(-0.537794\pi\)
\(600\) −3044.52 13338.9i −0.207153 0.907597i
\(601\) −12176.6 15268.9i −0.826444 1.03633i −0.998685 0.0512728i \(-0.983672\pi\)
0.172241 0.985055i \(-0.444899\pi\)
\(602\) 7870.60 + 34148.5i 0.532860 + 2.31194i
\(603\) 4558.46 5716.13i 0.307852 0.386034i
\(604\) 5865.02 + 2824.45i 0.395107 + 0.190273i
\(605\) −645.540 2828.30i −0.0433801 0.190061i
\(606\) −37887.4 −2.53972
\(607\) 22682.1 1.51670 0.758350 0.651848i \(-0.226006\pi\)
0.758350 + 0.651848i \(0.226006\pi\)
\(608\) 1365.69 + 5983.46i 0.0910952 + 0.399114i
\(609\) 7880.45 + 9838.79i 0.524355 + 0.654660i
\(610\) 335.306 1469.07i 0.0222560 0.0975098i
\(611\) −9658.94 + 42318.6i −0.639540 + 2.80201i
\(612\) −8085.96 + 10139.5i −0.534078 + 0.669712i
\(613\) 466.955 585.543i 0.0307669 0.0385805i −0.766210 0.642590i \(-0.777860\pi\)
0.796977 + 0.604010i \(0.206431\pi\)
\(614\) −341.547 + 1496.42i −0.0224491 + 0.0983557i
\(615\) −1117.79 + 4897.36i −0.0732905 + 0.321107i
\(616\) −1038.46 497.377i −0.0679230 0.0325323i
\(617\) −2051.73 8989.23i −0.133873 0.586536i −0.996710 0.0810534i \(-0.974172\pi\)
0.862837 0.505483i \(-0.168686\pi\)
\(618\) 19744.0 1.28514
\(619\) −1085.86 −0.0705082 −0.0352541 0.999378i \(-0.511224\pi\)
−0.0352541 + 0.999378i \(0.511224\pi\)
\(620\) 571.385 + 2503.40i 0.0370119 + 0.162160i
\(621\) 2492.61 + 1200.38i 0.161071 + 0.0775677i
\(622\) 17538.6 21992.7i 1.13060 1.41773i
\(623\) −1481.34 + 1865.67i −0.0952627 + 0.119978i
\(624\) −7643.20 9584.28i −0.490341 0.614869i
\(625\) −3077.28 13482.4i −0.196946 0.862877i
\(626\) 12373.8 + 15516.2i 0.790024 + 0.990659i
\(627\) −635.704 306.139i −0.0404906 0.0194992i
\(628\) −6542.24 + 8203.70i −0.415706 + 0.521279i
\(629\) −18061.0 + 8697.70i −1.14489 + 0.551351i
\(630\) −3221.41 + 1559.79i −0.203721 + 0.0986408i
\(631\) 4433.07 + 2134.86i 0.279680 + 0.134687i 0.568466 0.822707i \(-0.307537\pi\)
−0.288786 + 0.957394i \(0.593252\pi\)
\(632\) −10160.8 + 4893.17i −0.639515 + 0.307974i
\(633\) −4143.90 + 18155.6i −0.260198 + 1.14000i
\(634\) −26261.8 + 12647.0i −1.64510 + 0.792236i
\(635\) −2209.11 2770.13i −0.138056 0.173117i
\(636\) 32762.5 2.04264
\(637\) 19305.8 + 23998.6i 1.20082 + 1.49272i
\(638\) 1651.35 0.102473
\(639\) −4760.95 5970.04i −0.294742 0.369595i
\(640\) 3766.56 1813.88i 0.232635 0.112031i
\(641\) 2964.02 12986.2i 0.182639 0.800194i −0.797729 0.603016i \(-0.793965\pi\)
0.980368 0.197177i \(-0.0631775\pi\)
\(642\) 10569.1 5089.79i 0.649731 0.312894i
\(643\) 1361.43 + 655.628i 0.0834983 + 0.0402107i 0.475167 0.879896i \(-0.342388\pi\)
−0.391669 + 0.920106i \(0.628102\pi\)
\(644\) −10942.9 5241.20i −0.669583 0.320702i
\(645\) 5777.20 2782.16i 0.352678 0.169841i
\(646\) −4283.16 + 5370.91i −0.260865 + 0.327114i
\(647\) −11480.0 5528.46i −0.697564 0.335929i 0.0512717 0.998685i \(-0.483673\pi\)
−0.748836 + 0.662756i \(0.769387\pi\)
\(648\) 9058.30 + 11358.8i 0.549142 + 0.688602i
\(649\) 475.437 + 2083.03i 0.0287559 + 0.125988i
\(650\) 29892.9 + 37484.5i 1.80384 + 2.26194i
\(651\) −11308.9 + 5475.72i −0.680845 + 0.329663i
\(652\) 8474.67 10626.9i 0.509039 0.638315i
\(653\) −14604.5 7033.15i −0.875219 0.421483i −0.0583429 0.998297i \(-0.518582\pi\)
−0.816876 + 0.576813i \(0.804296\pi\)
\(654\) −3668.87 16074.4i −0.219364 0.961096i
\(655\) −781.888 −0.0466426
\(656\) 6660.55 0.396419
\(657\) −2979.63 13054.6i −0.176935 0.775204i
\(658\) 8770.32 38805.4i 0.519609 2.29907i
\(659\) 4185.36 18337.3i 0.247403 1.08394i −0.686701 0.726940i \(-0.740942\pi\)
0.934104 0.357002i \(-0.116201\pi\)
\(660\) −146.948 + 643.819i −0.00866656 + 0.0379707i
\(661\) 9404.76 11793.2i 0.553408 0.693952i −0.423916 0.905702i \(-0.639345\pi\)
0.977324 + 0.211750i \(0.0679161\pi\)
\(662\) −11811.3 + 14810.8i −0.693440 + 0.869546i
\(663\) 7638.34 33465.7i 0.447433 1.96033i
\(664\) −2936.63 + 12866.2i −0.171632 + 0.751967i
\(665\) −1015.13 + 491.520i −0.0591953 + 0.0286622i
\(666\) −6999.77 30668.0i −0.407261 1.78433i
\(667\) 5551.69 0.322282
\(668\) −42332.7 −2.45195
\(669\) −2414.87 10580.2i −0.139558 0.611442i
\(670\) −3265.71 1572.68i −0.188306 0.0906836i
\(671\) 358.272 449.259i 0.0206124 0.0258472i
\(672\) 17571.5 + 21938.1i 1.00868 + 1.25935i
\(673\) 17310.2 + 21706.3i 0.991468 + 1.24326i 0.969902 + 0.243494i \(0.0782936\pi\)
0.0215654 + 0.999767i \(0.493135\pi\)
\(674\) 2528.71 + 11079.0i 0.144514 + 0.633157i
\(675\) 3716.42 + 4660.25i 0.211919 + 0.265738i
\(676\) −62093.4 29902.6i −3.53285 1.70133i
\(677\) 1712.18 2147.00i 0.0971998 0.121885i −0.730853 0.682535i \(-0.760877\pi\)
0.828053 + 0.560650i \(0.189449\pi\)
\(678\) 64514.5 31068.6i 3.65437 1.75985i
\(679\) 7963.90 16.9313i 0.450113 0.000956943i
\(680\) 1848.12 + 890.009i 0.104224 + 0.0501916i
\(681\) −17719.2 + 8533.10i −0.997063 + 0.480160i
\(682\) −366.269 + 1604.73i −0.0205647 + 0.0901000i
\(683\) −19908.5 + 9587.44i −1.11534 + 0.537120i −0.898450 0.439075i \(-0.855306\pi\)
−0.216892 + 0.976196i \(0.569592\pi\)
\(684\) −3998.41 5013.85i −0.223513 0.280277i
\(685\) −5996.65 −0.334482
\(686\) −17741.2 21958.0i −0.987410 1.22210i
\(687\) −8115.52 −0.450693
\(688\) −5301.00 6647.24i −0.293748 0.368349i
\(689\) −33000.2 + 15892.1i −1.82469 + 0.878723i
\(690\) −830.435 + 3638.38i −0.0458176 + 0.200740i
\(691\) −10291.5 + 4956.11i −0.566579 + 0.272850i −0.695167 0.718848i \(-0.744670\pi\)
0.128588 + 0.991698i \(0.458955\pi\)
\(692\) −12443.8 5992.62i −0.683587 0.329198i
\(693\) −1364.88 + 2.90174i −0.0748159 + 0.000159059i
\(694\) 22434.1 10803.7i 1.22707 0.590927i
\(695\) 1698.53 2129.89i 0.0927037 0.116247i
\(696\) 10214.0 + 4918.82i 0.556268 + 0.267884i
\(697\) 11628.4 + 14581.6i 0.631935 + 0.792421i
\(698\) −8221.25 36019.7i −0.445815 1.95324i
\(699\) 3140.92 + 3938.58i 0.169958 + 0.213120i
\(700\) −16342.4 20403.6i −0.882406 1.10169i
\(701\) 7324.50 9184.63i 0.394640 0.494863i −0.544326 0.838874i \(-0.683214\pi\)
0.938965 + 0.344011i \(0.111786\pi\)
\(702\) −17836.4 8589.58i −0.958965 0.461813i
\(703\) −2205.76 9664.06i −0.118338 0.518474i
\(704\) 3085.86 0.165203
\(705\) −7279.58 −0.388886
\(706\) 7190.96 + 31505.7i 0.383336 + 1.67951i
\(707\) −20786.5 + 10064.8i −1.10574 + 0.535395i
\(708\) −10230.6 + 44823.2i −0.543064 + 2.37932i
\(709\) 4943.76 21660.0i 0.261872 1.14733i −0.657348 0.753588i \(-0.728322\pi\)
0.919219 0.393746i \(-0.128821\pi\)
\(710\) −2360.33 + 2959.75i −0.124763 + 0.156447i
\(711\) −8335.00 + 10451.8i −0.439644 + 0.551296i
\(712\) −476.736 + 2088.72i −0.0250933 + 0.109941i
\(713\) −1231.36 + 5394.94i −0.0646771 + 0.283369i
\(714\) −6935.61 + 30687.5i −0.363527 + 1.60847i
\(715\) −164.283 719.772i −0.00859279 0.0376475i
\(716\) 14745.4 0.769637
\(717\) −7166.00 −0.373248
\(718\) −2301.95 10085.5i −0.119649 0.524218i
\(719\) 18476.5 + 8897.80i 0.958354 + 0.461519i 0.846607 0.532218i \(-0.178641\pi\)
0.111746 + 0.993737i \(0.464356\pi\)
\(720\) 541.412 678.910i 0.0280240 0.0351409i
\(721\) 10832.3 5244.98i 0.559525 0.270920i
\(722\) 16886.3 + 21174.8i 0.870422 + 1.09147i
\(723\) 6369.76 + 27907.8i 0.327654 + 1.43555i
\(724\) 11359.7 + 14244.6i 0.583123 + 0.731213i
\(725\) 10776.7 + 5189.78i 0.552050 + 0.265853i
\(726\) 24949.4 31285.6i 1.27543 1.59934i
\(727\) −31946.2 + 15384.5i −1.62974 + 0.784841i −0.629771 + 0.776781i \(0.716851\pi\)
−0.999968 + 0.00805967i \(0.997434\pi\)
\(728\) 24982.0 + 11965.3i 1.27183 + 0.609154i
\(729\) 7265.13 + 3498.70i 0.369107 + 0.177753i
\(730\) −5981.09 + 2880.34i −0.303246 + 0.146036i
\(731\) 5297.62 23210.4i 0.268043 1.17437i
\(732\) 11140.4 5364.94i 0.562515 0.270893i
\(733\) −17995.6 22565.8i −0.906799 1.13709i −0.990072 0.140563i \(-0.955109\pi\)
0.0832731 0.996527i \(-0.473463\pi\)
\(734\) −905.083 −0.0455139
\(735\) −3203.34 + 4052.09i −0.160758 + 0.203352i
\(736\) 12378.9 0.619963
\(737\) −861.806 1080.67i −0.0430733 0.0540122i
\(738\) −26368.4 + 12698.4i −1.31522 + 0.633378i
\(739\) −6253.53 + 27398.5i −0.311286 + 1.36383i 0.541118 + 0.840947i \(0.318001\pi\)
−0.852404 + 0.522884i \(0.824856\pi\)
\(740\) −8358.79 + 4025.38i −0.415237 + 0.199967i
\(741\) 15293.0 + 7364.74i 0.758170 + 0.365115i
\(742\) 30215.0 14630.0i 1.49491 0.723832i
\(743\) −21073.5 + 10148.5i −1.04053 + 0.501091i −0.874498 0.485030i \(-0.838809\pi\)
−0.166029 + 0.986121i \(0.553094\pi\)
\(744\) −7045.41 + 8834.67i −0.347174 + 0.435342i
\(745\) 4813.60 + 2318.11i 0.236720 + 0.113999i
\(746\) 6281.39 + 7876.62i 0.308282 + 0.386573i
\(747\) 3481.04 + 15251.4i 0.170501 + 0.747016i
\(748\) 1528.70 + 1916.93i 0.0747258 + 0.0937032i
\(749\) 4446.50 5600.12i 0.216918 0.273196i
\(750\) −10228.8 + 12826.6i −0.498006 + 0.624480i
\(751\) 29761.4 + 14332.3i 1.44608 + 0.696396i 0.981910 0.189349i \(-0.0606377\pi\)
0.464172 + 0.885745i \(0.346352\pi\)
\(752\) 2147.82 + 9410.21i 0.104153 + 0.456323i
\(753\) 26684.0 1.29139
\(754\) −39726.3 −1.91876
\(755\) −271.587 1189.90i −0.0130915 0.0573575i
\(756\) 9735.19 + 4662.75i 0.468341 + 0.224316i
\(757\) −1570.70 + 6881.67i −0.0754133 + 0.330407i −0.998536 0.0540992i \(-0.982771\pi\)
0.923122 + 0.384507i \(0.125628\pi\)
\(758\) 2306.09 10103.7i 0.110503 0.484144i
\(759\) −887.314 + 1112.66i −0.0424341 + 0.0532106i
\(760\) −632.421 + 793.031i −0.0301846 + 0.0378504i
\(761\) 3363.43 14736.1i 0.160216 0.701951i −0.829453 0.558577i \(-0.811348\pi\)
0.989669 0.143374i \(-0.0457952\pi\)
\(762\) 10875.2 47647.4i 0.517018 2.26520i
\(763\) −6283.03 7844.40i −0.298114 0.372197i
\(764\) 5998.17 + 26279.7i 0.284039 + 1.24446i
\(765\) 2431.54 0.114918
\(766\) −12004.8 −0.566255
\(767\) −11437.5 50111.1i −0.538442 2.35907i
\(768\) 11214.9 + 5400.83i 0.526933 + 0.253758i
\(769\) 7051.59 8842.41i 0.330672 0.414650i −0.588505 0.808493i \(-0.700283\pi\)
0.919177 + 0.393844i \(0.128855\pi\)
\(770\) 151.974 + 659.377i 0.00711269 +