Properties

Label 49.4.e.a.8.1
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 8.1
Character \(\chi\) \(=\) 49.8
Dual form 49.4.e.a.43.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.44244 - 4.31668i) q^{2} +(3.65176 - 1.75859i) q^{3} +(-5.00318 + 21.9203i) q^{4} +(-12.6967 + 6.11441i) q^{5} +(-20.1622 - 9.70961i) q^{6} +(-15.1671 + 10.6282i) q^{7} +(72.0505 - 34.6977i) q^{8} +(-6.59154 + 8.26553i) q^{9} +O(q^{10})\) \(q+(-3.44244 - 4.31668i) q^{2} +(3.65176 - 1.75859i) q^{3} +(-5.00318 + 21.9203i) q^{4} +(-12.6967 + 6.11441i) q^{5} +(-20.1622 - 9.70961i) q^{6} +(-15.1671 + 10.6282i) q^{7} +(72.0505 - 34.6977i) q^{8} +(-6.59154 + 8.26553i) q^{9} +(70.1015 + 33.7591i) q^{10} +(-21.5735 - 27.0524i) q^{11} +(20.2786 + 88.8463i) q^{12} +(11.5286 + 14.4565i) q^{13} +(98.0902 + 28.8849i) q^{14} +(-35.6125 + 44.6567i) q^{15} +(-235.748 - 113.530i) q^{16} +(-12.0700 - 52.8822i) q^{17} +58.3706 q^{18} -61.4377 q^{19} +(-70.5062 - 308.908i) q^{20} +(-36.6961 + 65.4843i) q^{21} +(-42.5108 + 186.252i) q^{22} +(-20.4282 + 89.5019i) q^{23} +(202.092 - 253.415i) q^{24} +(45.8841 - 57.5369i) q^{25} +(22.7173 - 99.5309i) q^{26} +(-33.8866 + 148.467i) q^{27} +(-157.089 - 385.644i) q^{28} +(1.60090 + 7.01401i) q^{29} +315.362 q^{30} -58.2544 q^{31} +(179.114 + 784.750i) q^{32} +(-126.355 - 60.8496i) q^{33} +(-186.725 + 234.146i) q^{34} +(127.588 - 227.681i) q^{35} +(-148.205 - 185.843i) q^{36} +(-4.07514 - 17.8543i) q^{37} +(211.495 + 265.207i) q^{38} +(67.5229 + 32.5173i) q^{39} +(-702.648 + 881.092i) q^{40} +(282.635 - 136.110i) q^{41} +(408.999 - 67.0201i) q^{42} +(51.7021 + 24.8984i) q^{43} +(700.933 - 337.552i) q^{44} +(33.1520 - 145.248i) q^{45} +(456.674 - 219.922i) q^{46} +(-208.341 - 261.251i) q^{47} -1060.55 q^{48} +(117.085 - 322.398i) q^{49} -406.321 q^{50} +(-137.075 - 171.887i) q^{51} +(-374.571 + 180.384i) q^{52} +(-94.1878 + 412.664i) q^{53} +(757.535 - 364.810i) q^{54} +(439.322 + 211.566i) q^{55} +(-724.028 + 1292.03i) q^{56} +(-224.356 + 108.044i) q^{57} +(24.7662 - 31.0559i) q^{58} +(-629.187 - 303.000i) q^{59} +(-800.715 - 1004.06i) q^{60} +(89.6263 + 392.679i) q^{61} +(200.537 + 251.466i) q^{62} +(12.1275 - 195.420i) q^{63} +(1465.78 - 1838.03i) q^{64} +(-234.769 - 113.059i) q^{65} +(172.302 + 754.907i) q^{66} +359.836 q^{67} +1219.58 q^{68} +(82.7985 + 362.764i) q^{69} +(-1422.04 + 233.020i) q^{70} +(40.7037 - 178.335i) q^{71} +(-188.129 + 824.247i) q^{72} +(-357.780 + 448.642i) q^{73} +(-63.0431 + 79.0535i) q^{74} +(66.3737 - 290.802i) q^{75} +(307.384 - 1346.74i) q^{76} +(614.726 + 181.020i) q^{77} +(-92.0764 - 403.413i) q^{78} +654.149 q^{79} +3687.40 q^{80} +(73.8298 + 323.470i) q^{81} +(-1560.49 - 751.495i) q^{82} +(-286.633 + 359.427i) q^{83} +(-1251.84 - 1132.02i) q^{84} +(476.593 + 597.628i) q^{85} +(-70.5027 - 308.892i) q^{86} +(18.1809 + 22.7981i) q^{87} +(-2493.04 - 1200.58i) q^{88} +(-388.807 + 487.549i) q^{89} +(-741.114 + 356.902i) q^{90} +(-328.502 - 96.7351i) q^{91} +(-1859.71 - 895.587i) q^{92} +(-212.731 + 102.446i) q^{93} +(-410.537 + 1798.68i) q^{94} +(780.057 - 375.656i) q^{95} +(2034.14 + 2550.73i) q^{96} -388.350 q^{97} +(-1794.74 + 604.416i) q^{98} +365.805 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.44244 4.31668i −1.21708 1.52618i −0.778711 0.627383i \(-0.784126\pi\)
−0.438374 0.898793i \(-0.644446\pi\)
\(3\) 3.65176 1.75859i 0.702781 0.338442i −0.0481335 0.998841i \(-0.515327\pi\)
0.750915 + 0.660399i \(0.229613\pi\)
\(4\) −5.00318 + 21.9203i −0.625397 + 2.74004i
\(5\) −12.6967 + 6.11441i −1.13563 + 0.546890i −0.904686 0.426078i \(-0.859895\pi\)
−0.230942 + 0.972968i \(0.574181\pi\)
\(6\) −20.1622 9.70961i −1.37187 0.660656i
\(7\) −15.1671 + 10.6282i −0.818949 + 0.573866i
\(8\) 72.0505 34.6977i 3.18421 1.53343i
\(9\) −6.59154 + 8.26553i −0.244131 + 0.306131i
\(10\) 70.1015 + 33.7591i 2.21681 + 1.06756i
\(11\) −21.5735 27.0524i −0.591333 0.741509i 0.392666 0.919681i \(-0.371553\pi\)
−0.983999 + 0.178173i \(0.942981\pi\)
\(12\) 20.2786 + 88.8463i 0.487827 + 2.13731i
\(13\) 11.5286 + 14.4565i 0.245959 + 0.308423i 0.889452 0.457029i \(-0.151087\pi\)
−0.643492 + 0.765453i \(0.722515\pi\)
\(14\) 98.0902 + 28.8849i 1.87255 + 0.551416i
\(15\) −35.6125 + 44.6567i −0.613008 + 0.768687i
\(16\) −235.748 113.530i −3.68356 1.77391i
\(17\) −12.0700 52.8822i −0.172200 0.754459i −0.985090 0.172041i \(-0.944964\pi\)
0.812889 0.582418i \(-0.197893\pi\)
\(18\) 58.3706 0.764338
\(19\) −61.4377 −0.741831 −0.370915 0.928667i \(-0.620956\pi\)
−0.370915 + 0.928667i \(0.620956\pi\)
\(20\) −70.5062 308.908i −0.788283 3.45369i
\(21\) −36.6961 + 65.4843i −0.381322 + 0.680469i
\(22\) −42.5108 + 186.252i −0.411970 + 1.80496i
\(23\) −20.4282 + 89.5019i −0.185199 + 0.811410i 0.793904 + 0.608044i \(0.208045\pi\)
−0.979103 + 0.203366i \(0.934812\pi\)
\(24\) 202.092 253.415i 1.71882 2.15534i
\(25\) 45.8841 57.5369i 0.367073 0.460295i
\(26\) 22.7173 99.5309i 0.171355 0.750754i
\(27\) −33.8866 + 148.467i −0.241536 + 1.05824i
\(28\) −157.089 385.644i −1.06025 2.60285i
\(29\) 1.60090 + 7.01401i 0.0102510 + 0.0449127i 0.979795 0.200006i \(-0.0640960\pi\)
−0.969544 + 0.244918i \(0.921239\pi\)
\(30\) 315.362 1.91923
\(31\) −58.2544 −0.337510 −0.168755 0.985658i \(-0.553975\pi\)
−0.168755 + 0.985658i \(0.553975\pi\)
\(32\) 179.114 + 784.750i 0.989475 + 4.33517i
\(33\) −126.355 60.8496i −0.666535 0.320986i
\(34\) −186.725 + 234.146i −0.941855 + 1.18105i
\(35\) 127.588 227.681i 0.616180 1.09957i
\(36\) −148.205 185.843i −0.686133 0.860383i
\(37\) −4.07514 17.8543i −0.0181067 0.0793307i 0.965067 0.262002i \(-0.0843827\pi\)
−0.983174 + 0.182671i \(0.941526\pi\)
\(38\) 211.495 + 265.207i 0.902871 + 1.13216i
\(39\) 67.5229 + 32.5173i 0.277239 + 0.133511i
\(40\) −702.648 + 881.092i −2.77746 + 3.48282i
\(41\) 282.635 136.110i 1.07659 0.518458i 0.190364 0.981713i \(-0.439033\pi\)
0.886225 + 0.463255i \(0.153319\pi\)
\(42\) 408.999 67.0201i 1.50262 0.246224i
\(43\) 51.7021 + 24.8984i 0.183360 + 0.0883017i 0.523312 0.852141i \(-0.324696\pi\)
−0.339951 + 0.940443i \(0.610411\pi\)
\(44\) 700.933 337.552i 2.40158 1.15654i
\(45\) 33.1520 145.248i 0.109822 0.481164i
\(46\) 456.674 219.922i 1.46376 0.704908i
\(47\) −208.341 261.251i −0.646588 0.810796i 0.345221 0.938521i \(-0.387804\pi\)
−0.991810 + 0.127725i \(0.959232\pi\)
\(48\) −1060.55 −3.18910
\(49\) 117.085 322.398i 0.341355 0.939935i
\(50\) −406.321 −1.14925
\(51\) −137.075 171.887i −0.376360 0.471940i
\(52\) −374.571 + 180.384i −0.998915 + 0.481052i
\(53\) −94.1878 + 412.664i −0.244107 + 1.06950i 0.693130 + 0.720813i \(0.256231\pi\)
−0.937237 + 0.348692i \(0.886626\pi\)
\(54\) 757.535 364.810i 1.90903 0.919339i
\(55\) 439.322 + 211.566i 1.07706 + 0.518684i
\(56\) −724.028 + 1292.03i −1.72772 + 3.08312i
\(57\) −224.356 + 108.044i −0.521344 + 0.251066i
\(58\) 24.7662 31.0559i 0.0560683 0.0703075i
\(59\) −629.187 303.000i −1.38836 0.668598i −0.417594 0.908634i \(-0.637127\pi\)
−0.970764 + 0.240035i \(0.922841\pi\)
\(60\) −800.715 1004.06i −1.72286 2.16040i
\(61\) 89.6263 + 392.679i 0.188123 + 0.824219i 0.977605 + 0.210446i \(0.0674917\pi\)
−0.789483 + 0.613773i \(0.789651\pi\)
\(62\) 200.537 + 251.466i 0.410778 + 0.515100i
\(63\) 12.1275 195.420i 0.0242528 0.390804i
\(64\) 1465.78 1838.03i 2.86285 3.58991i
\(65\) −234.769 113.059i −0.447992 0.215741i
\(66\) 172.302 + 754.907i 0.321348 + 1.40792i
\(67\) 359.836 0.656134 0.328067 0.944654i \(-0.393603\pi\)
0.328067 + 0.944654i \(0.393603\pi\)
\(68\) 1219.58 2.17494
\(69\) 82.7985 + 362.764i 0.144460 + 0.632923i
\(70\) −1422.04 + 233.020i −2.42809 + 0.397875i
\(71\) 40.7037 178.335i 0.0680372 0.298090i −0.929449 0.368950i \(-0.879717\pi\)
0.997486 + 0.0708600i \(0.0225744\pi\)
\(72\) −188.129 + 824.247i −0.307933 + 1.34914i
\(73\) −357.780 + 448.642i −0.573629 + 0.719309i −0.981012 0.193949i \(-0.937870\pi\)
0.407382 + 0.913258i \(0.366442\pi\)
\(74\) −63.0431 + 79.0535i −0.0990352 + 0.124186i
\(75\) 66.3737 290.802i 0.102189 0.447719i
\(76\) 307.384 1346.74i 0.463939 2.03265i
\(77\) 614.726 + 181.020i 0.909799 + 0.267911i
\(78\) −92.0764 403.413i −0.133662 0.585610i
\(79\) 654.149 0.931614 0.465807 0.884886i \(-0.345764\pi\)
0.465807 + 0.884886i \(0.345764\pi\)
\(80\) 3687.40 5.15329
\(81\) 73.8298 + 323.470i 0.101275 + 0.443717i
\(82\) −1560.49 751.495i −2.10156 1.01206i
\(83\) −286.633 + 359.427i −0.379061 + 0.475328i −0.934364 0.356321i \(-0.884031\pi\)
0.555303 + 0.831648i \(0.312602\pi\)
\(84\) −1251.84 1132.02i −1.62604 1.47040i
\(85\) 476.593 + 597.628i 0.608162 + 0.762610i
\(86\) −70.5027 308.892i −0.0884011 0.387311i
\(87\) 18.1809 + 22.7981i 0.0224046 + 0.0280944i
\(88\) −2493.04 1200.58i −3.01999 1.45435i
\(89\) −388.807 + 487.549i −0.463073 + 0.580675i −0.957460 0.288567i \(-0.906821\pi\)
0.494387 + 0.869242i \(0.335393\pi\)
\(90\) −741.114 + 356.902i −0.868004 + 0.418009i
\(91\) −328.502 96.7351i −0.378422 0.111435i
\(92\) −1859.71 895.587i −2.10748 1.01491i
\(93\) −212.731 + 102.446i −0.237196 + 0.114227i
\(94\) −410.537 + 1798.68i −0.450465 + 1.97361i
\(95\) 780.057 375.656i 0.842444 0.405699i
\(96\) 2034.14 + 2550.73i 2.16259 + 2.71180i
\(97\) −388.350 −0.406505 −0.203252 0.979126i \(-0.565151\pi\)
−0.203252 + 0.979126i \(0.565151\pi\)
\(98\) −1794.74 + 604.416i −1.84996 + 0.623013i
\(99\) 365.805 0.371362
\(100\) 1031.66 + 1293.66i 1.03166 + 1.29366i
\(101\) −1117.60 + 538.207i −1.10104 + 0.530233i −0.893985 0.448096i \(-0.852102\pi\)
−0.207055 + 0.978329i \(0.566388\pi\)
\(102\) −270.107 + 1183.42i −0.262202 + 1.14878i
\(103\) 745.871 359.192i 0.713522 0.343614i −0.0416574 0.999132i \(-0.513264\pi\)
0.755180 + 0.655518i \(0.227550\pi\)
\(104\) 1332.25 + 641.578i 1.25613 + 0.604922i
\(105\) 65.5221 1055.81i 0.0608981 0.981300i
\(106\) 2105.57 1013.99i 1.92935 0.929127i
\(107\) 1184.17 1484.90i 1.06989 1.34160i 0.133337 0.991071i \(-0.457431\pi\)
0.936552 0.350528i \(-0.113998\pi\)
\(108\) −3084.90 1485.61i −2.74856 1.32364i
\(109\) 585.036 + 733.612i 0.514095 + 0.644654i 0.969343 0.245710i \(-0.0790211\pi\)
−0.455249 + 0.890364i \(0.650450\pi\)
\(110\) −599.074 2624.72i −0.519268 2.27506i
\(111\) −46.2800 58.0332i −0.0395739 0.0496241i
\(112\) 4782.24 783.637i 4.03464 0.661131i
\(113\) −1352.25 + 1695.67i −1.12575 + 1.41164i −0.226602 + 0.973987i \(0.572762\pi\)
−0.899144 + 0.437653i \(0.855810\pi\)
\(114\) 1238.72 + 596.537i 1.01769 + 0.490094i
\(115\) −287.880 1261.29i −0.233435 1.02274i
\(116\) −161.759 −0.129474
\(117\) −195.482 −0.154464
\(118\) 857.980 + 3759.06i 0.669351 + 2.93262i
\(119\) 745.107 + 673.790i 0.573982 + 0.519044i
\(120\) −1016.42 + 4453.21i −0.773214 + 3.38767i
\(121\) 29.7626 130.398i 0.0223611 0.0979702i
\(122\) 1386.53 1738.66i 1.02894 1.29025i
\(123\) 792.752 994.080i 0.581139 0.728725i
\(124\) 291.457 1276.96i 0.211078 0.924792i
\(125\) 161.205 706.287i 0.115349 0.505378i
\(126\) −885.315 + 620.372i −0.625954 + 0.438628i
\(127\) 573.813 + 2514.04i 0.400927 + 1.75657i 0.623660 + 0.781695i \(0.285645\pi\)
−0.222734 + 0.974879i \(0.571498\pi\)
\(128\) −6540.60 −4.51650
\(129\) 232.590 0.158747
\(130\) 320.138 + 1402.62i 0.215985 + 0.946290i
\(131\) −2661.09 1281.51i −1.77481 0.854706i −0.962405 0.271619i \(-0.912441\pi\)
−0.812410 0.583087i \(-0.801845\pi\)
\(132\) 1966.02 2465.31i 1.29637 1.62559i
\(133\) 931.835 652.970i 0.607521 0.425712i
\(134\) −1238.71 1553.30i −0.798571 1.00138i
\(135\) −477.539 2092.24i −0.304445 1.33386i
\(136\) −2704.54 3391.38i −1.70524 2.13830i
\(137\) 1164.94 + 561.006i 0.726479 + 0.349854i 0.760298 0.649574i \(-0.225053\pi\)
−0.0338190 + 0.999428i \(0.510767\pi\)
\(138\) 1280.91 1606.21i 0.790131 0.990793i
\(139\) −2292.92 + 1104.21i −1.39915 + 0.673797i −0.972990 0.230848i \(-0.925850\pi\)
−0.426165 + 0.904645i \(0.640136\pi\)
\(140\) 4352.50 + 3935.90i 2.62752 + 2.37603i
\(141\) −1220.25 587.639i −0.728817 0.350980i
\(142\) −909.933 + 438.200i −0.537745 + 0.258965i
\(143\) 142.368 623.754i 0.0832545 0.364762i
\(144\) 2492.33 1200.24i 1.44232 0.694586i
\(145\) −63.2127 79.2663i −0.0362037 0.0453980i
\(146\) 3168.27 1.79595
\(147\) −139.402 1383.22i −0.0782153 0.776097i
\(148\) 411.762 0.228693
\(149\) 1174.97 + 1473.37i 0.646022 + 0.810086i 0.991742 0.128252i \(-0.0409365\pi\)
−0.345719 + 0.938338i \(0.612365\pi\)
\(150\) −1483.79 + 714.554i −0.807671 + 0.388954i
\(151\) −104.370 + 457.275i −0.0562484 + 0.246440i −0.995234 0.0975162i \(-0.968910\pi\)
0.938986 + 0.343957i \(0.111767\pi\)
\(152\) −4426.62 + 2131.75i −2.36214 + 1.13755i
\(153\) 516.659 + 248.810i 0.273003 + 0.131471i
\(154\) −1334.75 3276.72i −0.698422 1.71458i
\(155\) 739.640 356.192i 0.383286 0.184581i
\(156\) −1050.62 + 1317.43i −0.539211 + 0.676149i
\(157\) 1062.53 + 511.686i 0.540120 + 0.260108i 0.683994 0.729488i \(-0.260242\pi\)
−0.143874 + 0.989596i \(0.545956\pi\)
\(158\) −2251.87 2823.75i −1.13385 1.42181i
\(159\) 381.757 + 1672.59i 0.190411 + 0.834244i
\(160\) −7072.44 8868.56i −3.49454 4.38201i
\(161\) −641.402 1574.60i −0.313972 0.770783i
\(162\) 1142.16 1432.22i 0.553929 0.694605i
\(163\) 388.458 + 187.072i 0.186665 + 0.0898932i 0.524882 0.851175i \(-0.324109\pi\)
−0.338217 + 0.941068i \(0.609824\pi\)
\(164\) 1569.50 + 6876.44i 0.747302 + 3.27414i
\(165\) 1976.36 0.932480
\(166\) 2538.24 1.18678
\(167\) −636.140 2787.11i −0.294766 1.29146i −0.877808 0.479013i \(-0.840995\pi\)
0.583041 0.812443i \(-0.301863\pi\)
\(168\) −371.821 + 5991.44i −0.170754 + 2.75149i
\(169\) 412.799 1808.59i 0.187892 0.823209i
\(170\) 939.129 4114.59i 0.423694 1.85632i
\(171\) 404.969 507.816i 0.181104 0.227097i
\(172\) −804.456 + 1008.76i −0.356623 + 0.447191i
\(173\) −460.875 + 2019.22i −0.202541 + 0.887392i 0.766841 + 0.641837i \(0.221827\pi\)
−0.969383 + 0.245555i \(0.921030\pi\)
\(174\) 35.8256 156.962i 0.0156088 0.0683866i
\(175\) −84.4204 + 1360.33i −0.0364662 + 0.587609i
\(176\) 2014.66 + 8826.80i 0.862844 + 3.78037i
\(177\) −2830.49 −1.20199
\(178\) 3443.03 1.44981
\(179\) −64.4356 282.311i −0.0269058 0.117882i 0.959692 0.281055i \(-0.0906843\pi\)
−0.986597 + 0.163173i \(0.947827\pi\)
\(180\) 3018.03 + 1453.41i 1.24973 + 0.601837i
\(181\) −759.048 + 951.816i −0.311710 + 0.390872i −0.912866 0.408260i \(-0.866136\pi\)
0.601155 + 0.799132i \(0.294707\pi\)
\(182\) 713.274 + 1751.04i 0.290502 + 0.713164i
\(183\) 1017.86 + 1276.35i 0.411159 + 0.515577i
\(184\) 1633.64 + 7157.46i 0.654532 + 2.86769i
\(185\) 160.910 + 201.774i 0.0639477 + 0.0801878i
\(186\) 1174.54 + 565.628i 0.463018 + 0.222978i
\(187\) −1170.19 + 1467.38i −0.457610 + 0.573825i
\(188\) 6769.08 3259.82i 2.62599 1.26461i
\(189\) −1063.96 2611.97i −0.409482 1.00525i
\(190\) −4306.88 2074.08i −1.64449 0.791947i
\(191\) −844.437 + 406.659i −0.319902 + 0.154057i −0.586943 0.809629i \(-0.699669\pi\)
0.267040 + 0.963685i \(0.413954\pi\)
\(192\) 2120.33 9289.76i 0.796987 3.49183i
\(193\) −3230.68 + 1555.81i −1.20492 + 0.580258i −0.925074 0.379788i \(-0.875997\pi\)
−0.279844 + 0.960045i \(0.590283\pi\)
\(194\) 1336.87 + 1676.38i 0.494751 + 0.620398i
\(195\) −1056.14 −0.387856
\(196\) 6481.27 + 4179.55i 2.36198 + 1.52316i
\(197\) −2647.94 −0.957654 −0.478827 0.877909i \(-0.658938\pi\)
−0.478827 + 0.877909i \(0.658938\pi\)
\(198\) −1259.26 1579.06i −0.451979 0.566763i
\(199\) −1119.40 + 539.076i −0.398756 + 0.192031i −0.622504 0.782616i \(-0.713885\pi\)
0.223749 + 0.974647i \(0.428170\pi\)
\(200\) 1309.58 5737.63i 0.463005 2.02856i
\(201\) 1314.03 632.806i 0.461119 0.222063i
\(202\) 6170.52 + 2971.57i 2.14929 + 1.03504i
\(203\) −98.8271 89.3679i −0.0341690 0.0308985i
\(204\) 4453.62 2144.75i 1.52851 0.736092i
\(205\) −2756.30 + 3456.29i −0.939066 + 1.17755i
\(206\) −4118.13 1983.19i −1.39283 0.670753i
\(207\) −605.127 758.806i −0.203185 0.254786i
\(208\) −1076.61 4716.94i −0.358892 1.57241i
\(209\) 1325.43 + 1662.04i 0.438669 + 0.550074i
\(210\) −4783.15 + 3351.72i −1.57176 + 1.10138i
\(211\) −146.062 + 183.156i −0.0476556 + 0.0597582i −0.805088 0.593155i \(-0.797882\pi\)
0.757433 + 0.652913i \(0.226453\pi\)
\(212\) −8574.50 4129.26i −2.77782 1.33773i
\(213\) −164.978 722.816i −0.0530709 0.232519i
\(214\) −10486.3 −3.34966
\(215\) −808.685 −0.256520
\(216\) 2709.91 + 11872.9i 0.853638 + 3.74003i
\(217\) 883.554 619.137i 0.276403 0.193686i
\(218\) 1152.82 5050.82i 0.358159 1.56920i
\(219\) −517.547 + 2267.52i −0.159692 + 0.699656i
\(220\) −6835.62 + 8571.59i −2.09481 + 2.62680i
\(221\) 625.338 784.149i 0.190338 0.238677i
\(222\) −91.1950 + 399.551i −0.0275703 + 0.120793i
\(223\) 354.576 1553.50i 0.106476 0.466503i −0.893376 0.449310i \(-0.851670\pi\)
0.999852 0.0171928i \(-0.00547291\pi\)
\(224\) −11057.1 9998.76i −3.29814 2.98246i
\(225\) 173.126 + 758.513i 0.0512965 + 0.224745i
\(226\) 11974.7 3.52454
\(227\) 1650.69 0.482644 0.241322 0.970445i \(-0.422419\pi\)
0.241322 + 0.970445i \(0.422419\pi\)
\(228\) −1245.87 5458.52i −0.361885 1.58552i
\(229\) −593.005 285.576i −0.171122 0.0824078i 0.346362 0.938101i \(-0.387417\pi\)
−0.517484 + 0.855693i \(0.673131\pi\)
\(230\) −4453.55 + 5584.58i −1.27678 + 1.60103i
\(231\) 2563.17 420.011i 0.730062 0.119631i
\(232\) 358.716 + 449.815i 0.101512 + 0.127292i
\(233\) 397.479 + 1741.47i 0.111758 + 0.489646i 0.999567 + 0.0294323i \(0.00936995\pi\)
−0.887808 + 0.460213i \(0.847773\pi\)
\(234\) 672.934 + 843.833i 0.187996 + 0.235740i
\(235\) 4242.64 + 2043.15i 1.17770 + 0.567150i
\(236\) 9789.81 12276.0i 2.70026 3.38602i
\(237\) 2388.79 1150.38i 0.654721 0.315297i
\(238\) 343.548 5535.87i 0.0935669 1.50772i
\(239\) −469.982 226.331i −0.127199 0.0612559i 0.369202 0.929349i \(-0.379631\pi\)
−0.496401 + 0.868093i \(0.665345\pi\)
\(240\) 13465.5 6484.63i 3.62164 1.74409i
\(241\) 1060.98 4648.44i 0.283583 1.24246i −0.609580 0.792724i \(-0.708662\pi\)
0.893163 0.449733i \(-0.148481\pi\)
\(242\) −665.344 + 320.413i −0.176735 + 0.0851112i
\(243\) −1725.14 2163.25i −0.455422 0.571081i
\(244\) −9056.07 −2.37605
\(245\) 484.682 + 4809.29i 0.126389 + 1.25410i
\(246\) −7020.12 −1.81946
\(247\) −708.294 888.172i −0.182460 0.228798i
\(248\) −4197.26 + 2021.29i −1.07470 + 0.517550i
\(249\) −414.629 + 1816.61i −0.105526 + 0.462341i
\(250\) −3603.75 + 1735.48i −0.911685 + 0.439044i
\(251\) −2088.98 1006.00i −0.525319 0.252980i 0.152377 0.988322i \(-0.451307\pi\)
−0.677696 + 0.735342i \(0.737022\pi\)
\(252\) 4223.01 + 1243.56i 1.05565 + 0.310861i
\(253\) 2861.95 1378.24i 0.711182 0.342487i
\(254\) 8876.99 11131.4i 2.19288 2.74979i
\(255\) 2791.39 + 1344.26i 0.685504 + 0.330121i
\(256\) 10789.3 + 13529.4i 2.63412 + 3.30308i
\(257\) 1630.28 + 7142.71i 0.395696 + 1.73366i 0.644046 + 0.764986i \(0.277254\pi\)
−0.248351 + 0.968670i \(0.579889\pi\)
\(258\) −800.675 1004.01i −0.193209 0.242276i
\(259\) 251.567 + 227.488i 0.0603537 + 0.0545770i
\(260\) 3652.87 4580.56i 0.871314 1.09259i
\(261\) −68.5270 33.0008i −0.0162518 0.00782644i
\(262\) 3628.75 + 15898.6i 0.855669 + 3.74893i
\(263\) 2986.40 0.700187 0.350093 0.936715i \(-0.386150\pi\)
0.350093 + 0.936715i \(0.386150\pi\)
\(264\) −11215.3 −2.61460
\(265\) −1327.32 5815.38i −0.307686 1.34806i
\(266\) −6026.44 1774.63i −1.38912 0.409057i
\(267\) −562.429 + 2464.16i −0.128914 + 0.564810i
\(268\) −1800.32 + 7887.73i −0.410344 + 1.79784i
\(269\) 2664.98 3341.78i 0.604041 0.757443i −0.381961 0.924178i \(-0.624751\pi\)
0.986002 + 0.166735i \(0.0533226\pi\)
\(270\) −7387.61 + 9263.77i −1.66517 + 2.08805i
\(271\) 836.445 3664.71i 0.187492 0.821458i −0.790441 0.612539i \(-0.790148\pi\)
0.977933 0.208919i \(-0.0669945\pi\)
\(272\) −3158.25 + 13837.2i −0.704032 + 3.08457i
\(273\) −1369.73 + 224.449i −0.303662 + 0.0497592i
\(274\) −1588.55 6959.91i −0.350248 1.53454i
\(275\) −2546.39 −0.558375
\(276\) −8366.17 −1.82458
\(277\) −1703.32 7462.73i −0.369468 1.61874i −0.728242 0.685320i \(-0.759662\pi\)
0.358774 0.933424i \(-0.383195\pi\)
\(278\) 12659.7 + 6096.60i 2.73122 + 1.31529i
\(279\) 383.987 481.504i 0.0823967 0.103322i
\(280\) 1292.77 20831.5i 0.275922 4.44614i
\(281\) −1042.47 1307.22i −0.221312 0.277516i 0.658764 0.752350i \(-0.271080\pi\)
−0.880076 + 0.474834i \(0.842508\pi\)
\(282\) 1663.97 + 7290.32i 0.351375 + 1.53948i
\(283\) −1301.05 1631.47i −0.273284 0.342687i 0.626183 0.779676i \(-0.284616\pi\)
−0.899467 + 0.436989i \(0.856045\pi\)
\(284\) 3705.51 + 1784.48i 0.774230 + 0.372850i
\(285\) 2187.95 2743.61i 0.454748 0.570236i
\(286\) −3182.64 + 1532.68i −0.658019 + 0.316885i
\(287\) −2840.17 + 5068.29i −0.584146 + 1.04241i
\(288\) −7667.01 3692.24i −1.56869 0.755442i
\(289\) 1775.62 855.095i 0.361413 0.174047i
\(290\) −124.561 + 545.738i −0.0252224 + 0.110506i
\(291\) −1418.16 + 682.950i −0.285684 + 0.137578i
\(292\) −8044.34 10087.3i −1.61219 2.02162i
\(293\) −2625.35 −0.523463 −0.261731 0.965141i \(-0.584293\pi\)
−0.261731 + 0.965141i \(0.584293\pi\)
\(294\) −5491.04 + 5363.40i −1.08927 + 1.06395i
\(295\) 9841.27 1.94231
\(296\) −913.120 1145.02i −0.179304 0.224840i
\(297\) 4747.43 2286.24i 0.927521 0.446671i
\(298\) 2315.29 10143.9i 0.450070 1.97189i
\(299\) −1529.39 + 736.516i −0.295809 + 0.142454i
\(300\) 6042.41 + 2909.87i 1.16286 + 0.560005i
\(301\) −1048.80 + 171.860i −0.200836 + 0.0329098i
\(302\) 2333.20 1123.61i 0.444571 0.214094i
\(303\) −3134.71 + 3930.80i −0.594338 + 0.745276i
\(304\) 14483.8 + 6975.04i 2.73258 + 1.31594i
\(305\) −3538.96 4437.71i −0.664394 0.833124i
\(306\) −704.534 3086.76i −0.131619 0.576662i
\(307\) 1516.86 + 1902.08i 0.281993 + 0.353608i 0.902574 0.430534i \(-0.141675\pi\)
−0.620581 + 0.784142i \(0.713103\pi\)
\(308\) −7043.61 + 12569.3i −1.30307 + 2.32534i
\(309\) 2092.07 2623.37i 0.385157 0.482971i
\(310\) −4083.73 1966.62i −0.748194 0.360311i
\(311\) −1251.33 5482.45i −0.228156 0.999618i −0.951142 0.308755i \(-0.900088\pi\)
0.722985 0.690863i \(-0.242769\pi\)
\(312\) 5993.33 1.08752
\(313\) 7332.28 1.32411 0.662053 0.749457i \(-0.269685\pi\)
0.662053 + 0.749457i \(0.269685\pi\)
\(314\) −1448.90 6348.03i −0.260401 1.14089i
\(315\) 1040.90 + 2555.35i 0.186185 + 0.457072i
\(316\) −3272.82 + 14339.2i −0.582629 + 2.55266i
\(317\) −986.208 + 4320.86i −0.174735 + 0.765564i 0.809272 + 0.587434i \(0.199862\pi\)
−0.984007 + 0.178130i \(0.942995\pi\)
\(318\) 5905.84 7405.69i 1.04146 1.30595i
\(319\) 155.208 194.625i 0.0272414 0.0341596i
\(320\) −7372.11 + 32299.3i −1.28786 + 5.64246i
\(321\) 1712.96 7504.99i 0.297845 1.30495i
\(322\) −4589.07 + 8189.19i −0.794219 + 1.41729i
\(323\) 741.554 + 3248.96i 0.127744 + 0.559681i
\(324\) −7459.95 −1.27914
\(325\) 1360.76 0.232251
\(326\) −529.715 2320.83i −0.0899944 0.394291i
\(327\) 3426.54 + 1650.13i 0.579474 + 0.279060i
\(328\) 15641.3 19613.5i 2.63307 3.30176i
\(329\) 5936.56 + 1748.16i 0.994811 + 0.292945i
\(330\) −6803.48 8531.30i −1.13491 1.42313i
\(331\) −1739.57 7621.57i −0.288869 1.26562i −0.886080 0.463533i \(-0.846582\pi\)
0.597211 0.802084i \(-0.296276\pi\)
\(332\) −6444.68 8081.37i −1.06535 1.33591i
\(333\) 174.437 + 84.0045i 0.0287060 + 0.0138241i
\(334\) −9841.19 + 12340.5i −1.61223 + 2.02168i
\(335\) −4568.74 + 2200.19i −0.745124 + 0.358833i
\(336\) 16085.5 11271.7i 2.61171 1.83012i
\(337\) 6946.51 + 3345.26i 1.12285 + 0.540736i 0.900772 0.434293i \(-0.143002\pi\)
0.222078 + 0.975029i \(0.428716\pi\)
\(338\) −9228.13 + 4444.03i −1.48504 + 0.715158i
\(339\) −1956.10 + 8570.25i −0.313395 + 1.37307i
\(340\) −15484.7 + 7457.04i −2.46993 + 1.18945i
\(341\) 1256.75 + 1575.92i 0.199581 + 0.250267i
\(342\) −3586.16 −0.567009
\(343\) 1650.65 + 6134.24i 0.259845 + 0.965650i
\(344\) 4589.07 0.719263
\(345\) −3269.36 4099.64i −0.510192 0.639761i
\(346\) 10302.9 4961.60i 1.60083 0.770917i
\(347\) −2099.09 + 9196.71i −0.324741 + 1.42278i 0.504269 + 0.863547i \(0.331762\pi\)
−0.829009 + 0.559235i \(0.811095\pi\)
\(348\) −590.705 + 284.469i −0.0909917 + 0.0438193i
\(349\) −5428.36 2614.16i −0.832589 0.400954i −0.0315037 0.999504i \(-0.510030\pi\)
−0.801086 + 0.598550i \(0.795744\pi\)
\(350\) 6162.73 4318.44i 0.941177 0.659516i
\(351\) −2536.97 + 1221.74i −0.385793 + 0.185788i
\(352\) 17365.2 21775.3i 2.62946 3.29724i
\(353\) −1299.56 625.837i −0.195946 0.0943625i 0.333338 0.942807i \(-0.391825\pi\)
−0.529284 + 0.848445i \(0.677539\pi\)
\(354\) 9743.79 + 12218.3i 1.46293 + 1.83445i
\(355\) 573.608 + 2513.14i 0.0857576 + 0.375729i
\(356\) −8741.96 10962.1i −1.30147 1.63199i
\(357\) 3905.87 + 1150.17i 0.579050 + 0.170515i
\(358\) −996.829 + 1249.98i −0.147162 + 0.184536i
\(359\) 3698.17 + 1780.95i 0.543683 + 0.261824i 0.685505 0.728068i \(-0.259582\pi\)
−0.141822 + 0.989892i \(0.545296\pi\)
\(360\) −2651.17 11615.5i −0.388135 1.70053i
\(361\) −3084.41 −0.449687
\(362\) 6721.66 0.975918
\(363\) −120.632 528.524i −0.0174423 0.0764195i
\(364\) 3764.02 6716.90i 0.542001 0.967201i
\(365\) 1799.44 7883.88i 0.258047 1.13058i
\(366\) 2005.69 8787.51i 0.286446 1.25500i
\(367\) −4740.74 + 5944.70i −0.674290 + 0.845533i −0.994814 0.101707i \(-0.967570\pi\)
0.320524 + 0.947240i \(0.396141\pi\)
\(368\) 14977.1 18780.7i 2.12156 2.66035i
\(369\) −737.980 + 3233.30i −0.104113 + 0.456149i
\(370\) 317.074 1389.19i 0.0445510 0.195191i
\(371\) −2957.29 7259.98i −0.413841 1.01595i
\(372\) −1181.32 5175.69i −0.164647 0.721364i
\(373\) −7679.62 −1.06605 −0.533023 0.846100i \(-0.678944\pi\)
−0.533023 + 0.846100i \(0.678944\pi\)
\(374\) 10362.5 1.43271
\(375\) −653.389 2862.68i −0.0899756 0.394209i
\(376\) −24075.9 11594.3i −3.30218 1.59024i
\(377\) −82.9416 + 104.005i −0.0113308 + 0.0142084i
\(378\) −7612.39 + 13584.3i −1.03582 + 1.84842i
\(379\) −4875.89 6114.17i −0.660837 0.828664i 0.332597 0.943069i \(-0.392075\pi\)
−0.993434 + 0.114405i \(0.963504\pi\)
\(380\) 4331.74 + 18978.6i 0.584772 + 2.56205i
\(381\) 6516.60 + 8171.56i 0.876262 + 1.09880i
\(382\) 4662.34 + 2245.26i 0.624466 + 0.300727i
\(383\) −4489.36 + 5629.48i −0.598944 + 0.751052i −0.985213 0.171334i \(-0.945192\pi\)
0.386269 + 0.922386i \(0.373764\pi\)
\(384\) −23884.7 + 11502.3i −3.17411 + 1.52857i
\(385\) −8911.83 + 1460.33i −1.17971 + 0.193312i
\(386\) 17837.3 + 8590.01i 2.35206 + 1.13269i
\(387\) −546.595 + 263.226i −0.0717958 + 0.0345751i
\(388\) 1942.98 8512.77i 0.254227 1.11384i
\(389\) −6443.24 + 3102.90i −0.839808 + 0.404430i −0.803785 0.594921i \(-0.797184\pi\)
−0.0360239 + 0.999351i \(0.511469\pi\)
\(390\) 3635.70 + 4559.03i 0.472054 + 0.591937i
\(391\) 4979.62 0.644067
\(392\) −2750.44 27291.5i −0.354383 3.51639i
\(393\) −11971.3 −1.53657
\(394\) 9115.36 + 11430.3i 1.16555 + 1.46155i
\(395\) −8305.54 + 3999.74i −1.05797 + 0.509490i
\(396\) −1830.19 + 8018.57i −0.232248 + 1.01755i
\(397\) −4717.34 + 2271.75i −0.596364 + 0.287194i −0.707615 0.706599i \(-0.750229\pi\)
0.111251 + 0.993792i \(0.464514\pi\)
\(398\) 6180.49 + 2976.37i 0.778392 + 0.374854i
\(399\) 2254.53 4023.21i 0.282876 0.504793i
\(400\) −17349.3 + 8354.97i −2.16866 + 1.04437i
\(401\) −3493.45 + 4380.65i −0.435049 + 0.545534i −0.950231 0.311547i \(-0.899153\pi\)
0.515182 + 0.857081i \(0.327724\pi\)
\(402\) −7255.10 3493.87i −0.900128 0.433479i
\(403\) −671.595 842.153i −0.0830137 0.104096i
\(404\) −6206.14 27190.9i −0.764274 3.34851i
\(405\) −2915.22 3655.57i −0.357675 0.448511i
\(406\) −45.5664 + 734.248i −0.00557001 + 0.0897540i
\(407\) −395.087 + 495.424i −0.0481173 + 0.0603372i
\(408\) −15840.4 7628.32i −1.92210 0.925633i
\(409\) −2016.58 8835.21i −0.243798 1.06815i −0.937527 0.347913i \(-0.886890\pi\)
0.693729 0.720236i \(-0.255967\pi\)
\(410\) 24408.1 2.94007
\(411\) 5240.67 0.628961
\(412\) 4141.90 + 18146.8i 0.495283 + 2.16998i
\(413\) 12763.3 2091.44i 1.52068 0.249185i
\(414\) −1192.41 + 5224.28i −0.141555 + 0.620191i
\(415\) 1441.61 6316.13i 0.170521 0.747100i
\(416\) −9279.77 + 11636.5i −1.09370 + 1.37145i
\(417\) −6431.31 + 8064.61i −0.755258 + 0.947064i
\(418\) 2611.77 11442.9i 0.305612 1.33897i
\(419\) −138.959 + 608.819i −0.0162019 + 0.0709851i −0.982383 0.186881i \(-0.940162\pi\)
0.966181 + 0.257866i \(0.0830193\pi\)
\(420\) 22815.9 + 6718.67i 2.65072 + 0.780566i
\(421\) −448.300 1964.13i −0.0518974 0.227377i 0.942328 0.334691i \(-0.108632\pi\)
−0.994225 + 0.107314i \(0.965775\pi\)
\(422\) 1293.43 0.149202
\(423\) 3532.67 0.406062
\(424\) 7532.20 + 33000.7i 0.862726 + 3.77985i
\(425\) −3596.50 1731.98i −0.410484 0.197679i
\(426\) −2552.24 + 3200.40i −0.290273 + 0.363991i
\(427\) −5532.83 5003.25i −0.627054 0.567036i
\(428\) 26625.0 + 33386.7i 3.00693 + 3.77058i
\(429\) −577.038 2528.17i −0.0649409 0.284525i
\(430\) 2783.85 + 3490.83i 0.312207 + 0.391495i
\(431\) −2405.04 1158.20i −0.268785 0.129440i 0.294637 0.955609i \(-0.404801\pi\)
−0.563422 + 0.826169i \(0.690516\pi\)
\(432\) 24844.2 31153.6i 2.76693 3.46963i
\(433\) 632.052 304.380i 0.0701489 0.0337819i −0.398480 0.917177i \(-0.630462\pi\)
0.468629 + 0.883395i \(0.344748\pi\)
\(434\) −5714.19 1682.68i −0.632005 0.186108i
\(435\) −370.235 178.296i −0.0408078 0.0196520i
\(436\) −19008.1 + 9153.80i −2.08789 + 1.00548i
\(437\) 1255.06 5498.79i 0.137386 0.601929i
\(438\) 11569.8 5571.71i 1.26216 0.607823i
\(439\) 7493.77 + 9396.88i 0.814710 + 1.02161i 0.999247 + 0.0387891i \(0.0123500\pi\)
−0.184537 + 0.982826i \(0.559079\pi\)
\(440\) 38994.2 4.22495
\(441\) 1893.02 + 3092.86i 0.204408 + 0.333967i
\(442\) −5537.61 −0.595921
\(443\) −2799.53 3510.49i −0.300247 0.376498i 0.608706 0.793396i \(-0.291689\pi\)
−0.908953 + 0.416898i \(0.863117\pi\)
\(444\) 1503.66 724.122i 0.160721 0.0773994i
\(445\) 1955.50 8567.59i 0.208313 0.912680i
\(446\) −7926.57 + 3817.23i −0.841556 + 0.405272i
\(447\) 6881.76 + 3314.08i 0.728179 + 0.350673i
\(448\) −2696.83 + 43456.2i −0.284405 + 4.58284i
\(449\) −6564.11 + 3161.11i −0.689932 + 0.332254i −0.745786 0.666185i \(-0.767926\pi\)
0.0558546 + 0.998439i \(0.482212\pi\)
\(450\) 2678.28 3358.46i 0.280568 0.351821i
\(451\) −9779.53 4709.57i −1.02106 0.491719i
\(452\) −30404.1 38125.6i −3.16392 3.96743i
\(453\) 423.027 + 1853.40i 0.0438754 + 0.192231i
\(454\) −5682.39 7125.50i −0.587418 0.736599i
\(455\) 4762.38 780.381i 0.490689 0.0804062i
\(456\) −12416.1 + 15569.2i −1.27508 + 1.59890i
\(457\) 16569.6 + 7979.50i 1.69605 + 0.816773i 0.994569 + 0.104081i \(0.0331901\pi\)
0.701477 + 0.712692i \(0.252524\pi\)
\(458\) 808.641 + 3542.89i 0.0825007 + 0.361459i
\(459\) 8260.25 0.839990
\(460\) 29088.1 2.94835
\(461\) 2557.26 + 11204.1i 0.258359 + 1.13195i 0.923005 + 0.384787i \(0.125725\pi\)
−0.664646 + 0.747158i \(0.731418\pi\)
\(462\) −10636.6 9618.52i −1.07112 0.968602i
\(463\) 1050.82 4603.96i 0.105477 0.462125i −0.894412 0.447244i \(-0.852406\pi\)
0.999889 0.0148817i \(-0.00473718\pi\)
\(464\) 418.893 1835.29i 0.0419108 0.183623i
\(465\) 2074.59 2601.45i 0.206896 0.259440i
\(466\) 6149.07 7710.68i 0.611266 0.766503i
\(467\) 4401.35 19283.6i 0.436125 1.91079i 0.0238796 0.999715i \(-0.492398\pi\)
0.412245 0.911073i \(-0.364745\pi\)
\(468\) 978.031 4285.03i 0.0966015 0.423239i
\(469\) −5457.69 + 3824.40i −0.537340 + 0.376533i
\(470\) −5785.41 25347.5i −0.567789 2.48765i
\(471\) 4779.94 0.467617
\(472\) −55846.6 −5.44608
\(473\) −441.836 1935.81i −0.0429506 0.188179i
\(474\) −13189.1 6351.53i −1.27805 0.615476i
\(475\) −2819.02 + 3534.93i −0.272306 + 0.341461i
\(476\) −18497.6 + 12961.9i −1.78117 + 1.24813i
\(477\) −2790.04 3498.60i −0.267814 0.335828i
\(478\) 640.883 + 2807.89i 0.0613249 + 0.268682i
\(479\) 8859.13 + 11109.0i 0.845061 + 1.05967i 0.997451 + 0.0713522i \(0.0227314\pi\)
−0.152391 + 0.988320i \(0.548697\pi\)
\(480\) −41423.0 19948.3i −3.93895 1.89690i
\(481\) 211.130 264.749i 0.0200139 0.0250967i
\(482\) −23718.1 + 11422.1i −2.24135 + 1.07938i
\(483\) −5111.33 4622.10i −0.481519 0.435430i
\(484\) 2709.47 + 1304.81i 0.254458 + 0.122541i
\(485\) 4930.77 2374.53i 0.461638 0.222313i
\(486\) −3399.39 + 14893.7i −0.317283 + 1.39011i
\(487\) 12700.7 6116.34i 1.18177 0.569112i 0.263346 0.964701i \(-0.415174\pi\)
0.918428 + 0.395589i \(0.129459\pi\)
\(488\) 20082.7 + 25182.9i 1.86291 + 2.33601i
\(489\) 1747.54 0.161608
\(490\) 19091.7 18647.9i 1.76015 1.71924i
\(491\) −522.646 −0.0480381 −0.0240190 0.999712i \(-0.507646\pi\)
−0.0240190 + 0.999712i \(0.507646\pi\)
\(492\) 17824.3 + 22351.0i 1.63330 + 2.04809i
\(493\) 351.593 169.318i 0.0321196 0.0154680i
\(494\) −1395.70 + 6114.95i −0.127116 + 0.556933i
\(495\) −4644.52 + 2236.68i −0.421729 + 0.203094i
\(496\) 13733.4 + 6613.65i 1.24324 + 0.598713i
\(497\) 1278.01 + 3137.43i 0.115345 + 0.283165i
\(498\) 9269.05 4463.74i 0.834049 0.401657i
\(499\) 4.76651 5.97702i 0.000427612 0.000536209i −0.781618 0.623758i \(-0.785605\pi\)
0.782045 + 0.623222i \(0.214177\pi\)
\(500\) 14675.5 + 7067.35i 1.31262 + 0.632123i
\(501\) −7224.42 9059.14i −0.644238 0.807850i
\(502\) 2848.60 + 12480.5i 0.253265 + 1.10963i
\(503\) 6150.40 + 7712.35i 0.545194 + 0.683652i 0.975744 0.218915i \(-0.0702518\pi\)
−0.430550 + 0.902567i \(0.641680\pi\)
\(504\) −5906.84 14500.9i −0.522047 1.28159i
\(505\) 10899.0 13666.9i 0.960394 1.20430i
\(506\) −15801.5 7609.59i −1.38826 0.668553i
\(507\) −1673.13 7330.48i −0.146561 0.642126i
\(508\) −57979.5 −5.06383
\(509\) −9954.79 −0.866873 −0.433436 0.901184i \(-0.642699\pi\)
−0.433436 + 0.901184i \(0.642699\pi\)
\(510\) −3806.43 16677.0i −0.330493 1.44798i
\(511\) 658.265 10607.2i 0.0569862 0.918264i
\(512\) 9617.10 42135.3i 0.830117 3.63698i
\(513\) 2081.91 9121.46i 0.179179 0.785034i
\(514\) 25220.6 31625.7i 2.16427 2.71391i
\(515\) −7273.85 + 9121.12i −0.622377 + 0.780436i
\(516\) −1163.69 + 5098.44i −0.0992799 + 0.434974i
\(517\) −2572.81 + 11272.2i −0.218863 + 0.958902i
\(518\) 115.991 1869.05i 0.00983848 0.158535i
\(519\) 1867.99 + 8184.21i 0.157988 + 0.692191i
\(520\) −20838.1 −1.75733
\(521\) 16628.5 1.39829 0.699143 0.714981i \(-0.253565\pi\)
0.699143 + 0.714981i \(0.253565\pi\)
\(522\) 93.4456 + 409.412i 0.00783526 + 0.0343285i
\(523\) −14571.9 7017.45i −1.21833 0.586714i −0.289480 0.957184i \(-0.593483\pi\)
−0.928845 + 0.370470i \(0.879197\pi\)
\(524\) 41405.2 51920.4i 3.45189 4.32854i
\(525\) 2083.99 + 5116.07i 0.173243 + 0.425302i
\(526\) −10280.5 12891.3i −0.852187 1.06861i
\(527\) 703.132 + 3080.62i 0.0581193 + 0.254638i
\(528\) 22879.8 + 28690.4i 1.88582 + 2.36475i
\(529\) 3368.82 + 1622.34i 0.276881 + 0.133339i
\(530\) −20533.9 + 25748.7i −1.68290 + 2.11028i
\(531\) 6651.77 3203.32i 0.543620 0.261794i
\(532\) 9651.18 + 23693.1i 0.786526 + 1.93087i
\(533\) 5226.07 + 2516.74i 0.424702 + 0.204526i
\(534\) 12573.1 6054.90i 1.01890 0.490676i
\(535\) −5955.76 + 26093.9i −0.481290 + 2.10867i
\(536\) 25926.4 12485.5i 2.08927 1.00614i
\(537\) −731.773 917.615i −0.0588051 0.0737393i
\(538\) −23599.4 −1.89116
\(539\) −11247.5 + 3787.84i −0.898824 + 0.302697i
\(540\) 48251.7 3.84523
\(541\) 2498.07 + 3132.49i 0.198522 + 0.248939i 0.871121 0.491068i \(-0.163393\pi\)
−0.672599 + 0.740007i \(0.734822\pi\)
\(542\) −18698.8 + 9004.85i −1.48188 + 0.713637i
\(543\) −1098.00 + 4810.66i −0.0867767 + 0.380194i
\(544\) 39337.4 18943.9i 3.10032 1.49304i
\(545\) −11913.6 5737.31i −0.936375 0.450934i
\(546\) 5684.07 + 5140.02i 0.445524 + 0.402880i
\(547\) −11809.6 + 5687.19i −0.923109 + 0.444546i −0.834180 0.551492i \(-0.814059\pi\)
−0.0889288 + 0.996038i \(0.528344\pi\)
\(548\) −18125.9 + 22729.1i −1.41295 + 1.77179i
\(549\) −3836.47 1847.55i −0.298245 0.143627i
\(550\) 8765.79 + 10991.9i 0.679590 + 0.852179i
\(551\) −98.3558 430.925i −0.00760453 0.0333176i
\(552\) 18552.7 + 23264.4i 1.43054 + 1.79384i
\(553\) −9921.57 + 6952.40i −0.762944 + 0.534622i
\(554\) −26350.6 + 33042.7i −2.02082 + 2.53402i
\(555\) 942.442 + 453.856i 0.0720801 + 0.0347119i
\(556\) −12732.8 55786.0i −0.971207 4.25514i
\(557\) 10669.3 0.811623 0.405812 0.913957i \(-0.366989\pi\)
0.405812 + 0.913957i \(0.366989\pi\)
\(558\) −3400.35 −0.257972
\(559\) 236.112 + 1034.47i 0.0178649 + 0.0782712i
\(560\) −55927.3 + 39190.2i −4.22028 + 2.95730i
\(561\) −1692.75 + 7416.41i −0.127394 + 0.558148i
\(562\) −2054.20 + 9000.02i −0.154183 + 0.675521i
\(563\) 5202.32 6523.50i 0.389434 0.488335i −0.548009 0.836472i \(-0.684614\pi\)
0.937444 + 0.348137i \(0.113186\pi\)
\(564\) 18986.4 23808.1i 1.41750 1.77749i
\(565\) 6801.13 29797.7i 0.506417 2.21876i
\(566\) −2563.73 + 11232.4i −0.190391 + 0.834159i
\(567\) −4557.67 4121.43i −0.337574 0.305263i
\(568\) −3255.07 14261.4i −0.240458 1.05351i
\(569\) 18590.0 1.36965 0.684826 0.728707i \(-0.259878\pi\)
0.684826 + 0.728707i \(0.259878\pi\)
\(570\) −19375.1 −1.42375
\(571\) −2738.19 11996.8i −0.200683 0.879248i −0.970522 0.241011i \(-0.922521\pi\)
0.769840 0.638237i \(-0.220336\pi\)
\(572\) 12960.6 + 6241.50i 0.947396 + 0.456242i
\(573\) −2368.53 + 2970.04i −0.172682 + 0.216536i
\(574\) 31655.3 5187.15i 2.30185 0.377191i
\(575\) 4212.33 + 5282.09i 0.305506 + 0.383093i
\(576\) 5530.55 + 24230.9i 0.400069 + 1.75282i
\(577\) −2418.82 3033.10i −0.174518 0.218838i 0.686878 0.726773i \(-0.258981\pi\)
−0.861396 + 0.507934i \(0.830409\pi\)
\(578\) −9803.63 4721.18i −0.705497 0.339750i
\(579\) −9061.60 + 11362.9i −0.650410 + 0.815588i
\(580\) 2053.81 989.062i 0.147034 0.0708079i
\(581\) 527.365 8497.86i 0.0376571 0.606799i
\(582\) 7830.00 + 3770.73i 0.557670 + 0.268560i
\(583\) 13195.5 6354.62i 0.937396 0.451426i
\(584\) −10211.4 + 44739.0i −0.723544 + 3.17005i
\(585\) 2481.98 1195.26i 0.175414 0.0844749i
\(586\) 9037.60 + 11332.8i 0.637098 + 0.798896i
\(587\) 24670.4 1.73468 0.867338 0.497720i \(-0.165829\pi\)
0.867338 + 0.497720i \(0.165829\pi\)
\(588\) 31018.2 + 3864.77i 2.17545 + 0.271055i
\(589\) 3579.02 0.250375
\(590\) −33877.9 42481.6i −2.36395 2.96430i
\(591\) −9669.63 + 4656.65i −0.673021 + 0.324110i
\(592\) −1066.30 + 4671.78i −0.0740284 + 0.324340i
\(593\) 8125.70 3913.13i 0.562702 0.270983i −0.130835 0.991404i \(-0.541766\pi\)
0.693537 + 0.720421i \(0.256051\pi\)
\(594\) −26211.7 12622.9i −1.81057 0.871925i
\(595\) −13580.2 3999.02i −0.935690 0.275536i
\(596\) −38175.3 + 18384.2i −2.62369 + 1.26350i
\(597\) −3139.77 + 3937.15i −0.215247 + 0.269911i
\(598\) 8444.13 + 4066.48i 0.577435 + 0.278078i
\(599\) 5431.10 + 6810.39i 0.370466 + 0.464549i 0.931764 0.363064i \(-0.118269\pi\)
−0.561299 + 0.827613i \(0.689698\pi\)
\(600\) −5307.90 23255.4i −0.361157 1.58233i
\(601\) 8479.10 + 10632.5i 0.575490 + 0.721642i 0.981336 0.192300i \(-0.0615945\pi\)
−0.405846 + 0.913941i \(0.633023\pi\)
\(602\) 4352.28 + 3935.70i 0.294661 + 0.266457i
\(603\) −2371.88 + 2974.24i −0.160183 + 0.200863i
\(604\) −9501.44 4575.65i −0.640080 0.308246i
\(605\) 419.423 + 1837.61i 0.0281851 + 0.123487i
\(606\) 27759.0 1.86078
\(607\) 17963.4 1.20117 0.600586 0.799560i \(-0.294934\pi\)
0.600586 + 0.799560i \(0.294934\pi\)
\(608\) −11004.4 48213.2i −0.734022 3.21596i
\(609\) −518.054 152.553i −0.0344707 0.0101507i
\(610\) −6973.54 + 30553.1i −0.462870 + 2.02796i
\(611\) 1374.88 6023.75i 0.0910339 0.398846i
\(612\) −8038.94 + 10080.5i −0.530972 + 0.665818i
\(613\) −12884.2 + 16156.3i −0.848922 + 1.06451i 0.148220 + 0.988954i \(0.452646\pi\)
−0.997141 + 0.0755596i \(0.975926\pi\)
\(614\) 2988.99 13095.6i 0.196459 0.860742i
\(615\) −3987.13 + 17468.8i −0.261425 + 1.14538i
\(616\) 50572.3 8286.96i 3.30782 0.542031i
\(617\) 111.048 + 486.532i 0.00724573 + 0.0317456i 0.978422 0.206619i \(-0.0662459\pi\)
−0.971176 + 0.238364i \(0.923389\pi\)
\(618\) −18526.0 −1.20587
\(619\) −22606.0 −1.46787 −0.733935 0.679219i \(-0.762319\pi\)
−0.733935 + 0.679219i \(0.762319\pi\)
\(620\) 4107.30 + 17995.2i 0.266053 + 1.16566i
\(621\) −12595.8 6065.82i −0.813933 0.391969i
\(622\) −19358.3 + 24274.6i −1.24791 + 1.56483i
\(623\) 715.351 11527.0i 0.0460031 0.741285i
\(624\) −12226.7 15331.8i −0.784390 0.983594i
\(625\) 4318.73 + 18921.6i 0.276399 + 1.21098i
\(626\) −25240.9 31651.1i −1.61155 2.02082i
\(627\) 7762.99 + 3738.46i 0.494456 + 0.238118i
\(628\) −16532.3 + 20730.9i −1.05050 + 1.31728i
\(629\) −894.990 + 431.004i −0.0567338 + 0.0273216i
\(630\) 7447.38 13289.9i 0.470970 0.840446i
\(631\) −23307.3 11224.2i −1.47045 0.708129i −0.484437 0.874826i \(-0.660975\pi\)
−0.986008 + 0.166697i \(0.946690\pi\)
\(632\) 47131.7 22697.4i 2.96646 1.42857i
\(633\) −211.286 + 925.705i −0.0132668 + 0.0581256i
\(634\) 22046.7 10617.1i 1.38105 0.665080i
\(635\) −22657.4 28411.5i −1.41596 1.77555i
\(636\) −38573.7 −2.40495
\(637\) 6010.56 2024.18i 0.373857 0.125904i
\(638\) −1374.43 −0.0852887
\(639\) 1205.73 + 1511.94i 0.0746447 + 0.0936015i
\(640\) 83044.1 39991.9i 5.12907 2.47003i
\(641\) −4935.00 + 21621.6i −0.304088 + 1.33230i 0.559805 + 0.828624i \(0.310876\pi\)
−0.863894 + 0.503674i \(0.831981\pi\)
\(642\) −38293.4 + 18441.1i −2.35408 + 1.13366i
\(643\) 9884.68 + 4760.21i 0.606242 + 0.291951i 0.711712 0.702472i \(-0.247920\pi\)
−0.105469 + 0.994423i \(0.533635\pi\)
\(644\) 37724.9 6181.74i 2.30834 0.378253i
\(645\) −2953.12 + 1422.15i −0.180278 + 0.0868171i
\(646\) 11472.0 14385.4i 0.698697 0.876138i
\(647\) −5698.94 2744.47i −0.346288 0.166764i 0.252652 0.967557i \(-0.418697\pi\)
−0.598941 + 0.800794i \(0.704411\pi\)
\(648\) 16543.1 + 20744.4i 1.00289 + 1.25759i
\(649\) 5376.91 + 23557.8i 0.325211 + 1.42484i
\(650\) −4684.33 5873.97i −0.282669 0.354455i
\(651\) 2137.71 3814.75i 0.128700 0.229665i
\(652\) −6044.20 + 7579.19i −0.363051 + 0.455251i
\(653\) −14082.1 6781.57i −0.843912 0.406407i −0.0385977 0.999255i \(-0.512289\pi\)
−0.805314 + 0.592848i \(0.798003\pi\)
\(654\) −4672.54 20471.7i −0.279374 1.22402i
\(655\) 41622.8 2.48296
\(656\) −82083.3 −4.88539
\(657\) −1349.94 5914.48i −0.0801617 0.351211i
\(658\) −12890.0 31644.1i −0.763684 1.87480i
\(659\) 1065.61 4668.73i 0.0629896 0.275975i −0.933619 0.358268i \(-0.883367\pi\)
0.996608 + 0.0822932i \(0.0262244\pi\)
\(660\) −9888.06 + 43322.4i −0.583170 + 2.55504i
\(661\) −12272.0 + 15388.7i −0.722129 + 0.905521i −0.998456 0.0555425i \(-0.982311\pi\)
0.276327 + 0.961064i \(0.410883\pi\)
\(662\) −26911.5 + 33745.9i −1.57998 + 1.98123i
\(663\) 904.584 3963.24i 0.0529881 0.232156i
\(664\) −8180.78 + 35842.3i −0.478126 + 2.09481i
\(665\) −7838.71 + 13988.2i −0.457101 + 0.815697i
\(666\) −237.868 1042.17i −0.0138397 0.0606355i
\(667\) −660.471 −0.0383411
\(668\) 64277.1 3.72299
\(669\) −1437.15 6296.56i −0.0830544 0.363885i
\(670\) 25225.1 + 12147.8i 1.45452 + 0.700461i
\(671\) 8689.33 10896.1i 0.499922 0.626883i
\(672\) −57961.6 17068.1i −3.32726 0.979788i
\(673\) 14491.4 + 18171.6i 0.830019 + 1.04081i 0.998481 + 0.0551025i \(0.0175486\pi\)
−0.168462 + 0.985708i \(0.553880\pi\)
\(674\) −9472.49 41501.7i −0.541345 2.37179i
\(675\) 6987.46 + 8761.99i 0.398440 + 0.499628i
\(676\) 37579.6 + 18097.4i 2.13812 + 1.02966i
\(677\) 14273.9 17898.9i 0.810328 1.01612i −0.189089 0.981960i \(-0.560553\pi\)
0.999416 0.0341589i \(-0.0108752\pi\)
\(678\) 43728.7 21058.7i 2.47698 1.19285i
\(679\) 5890.16 4127.44i 0.332907 0.233279i
\(680\) 55075.0 + 26522.7i 3.10593 + 1.49574i
\(681\) 6027.92 2902.89i 0.339193 0.163347i
\(682\) 2476.44 10850.0i 0.139044 0.609191i
\(683\) −8551.78 + 4118.32i −0.479099 + 0.230722i −0.657816 0.753179i \(-0.728520\pi\)
0.178717 + 0.983901i \(0.442805\pi\)
\(684\) 9105.36 + 11417.8i 0.508994 + 0.638259i
\(685\) −18221.1 −1.01634
\(686\) 20797.3 28242.1i 1.15750 1.57185i
\(687\) −2667.72 −0.148151
\(688\) −9361.94 11739.5i −0.518780 0.650530i
\(689\) −7051.52 + 3395.83i −0.389901 + 0.187766i
\(690\) −6442.29 + 28225.5i −0.355440 + 1.55729i
\(691\) 4946.68 2382.20i 0.272331 0.131148i −0.292735 0.956194i \(-0.594565\pi\)
0.565065 + 0.825046i \(0.308851\pi\)
\(692\) −41956.3 20205.1i −2.30482 1.10994i
\(693\) −5548.22 + 3887.83i −0.304126 + 0.213112i
\(694\) 46925.2 22598.0i 2.56665 1.23603i
\(695\) 22360.9 28039.7i 1.22043 1.53037i
\(696\) 2100.98 + 1011.78i 0.114422 + 0.0551027i
\(697\) −10609.2 13303.5i −0.576545 0.722964i
\(698\) 7402.30 + 32431.6i 0.401406 + 1.75867i
\(699\) 4514.03 + 5660.42i 0.244258 + 0.306290i
\(700\) −29396.6 8656.51i −1.58727 0.467408i
\(701\) 10027.0 12573.5i 0.540251 0.677453i −0.434520 0.900662i \(-0.643082\pi\)
0.974771 + 0.223209i \(0.0716533\pi\)
\(702\) 14007.2 + 6745.52i 0.753089 + 0.362668i
\(703\) 250.367 + 1096.93i 0.0134321 + 0.0588500i
\(704\) −81345.2 −4.35485
\(705\) 19086.2 1.01961
\(706\) 1772.13 + 7764.20i 0.0944688 + 0.413895i
\(707\) 11230.6 20041.1i 0.597413 1.06608i
\(708\) 14161.5 62045.4i 0.751723 3.29351i
\(709\) −2396.93 + 10501.6i −0.126966 + 0.556273i 0.870928 + 0.491410i \(0.163518\pi\)
−0.997894 + 0.0648633i \(0.979339\pi\)
\(710\) 8873.81 11127.4i 0.469054 0.588175i
\(711\) −4311.85 + 5406.89i −0.227436 + 0.285196i
\(712\) −11096.9 + 48618.8i −0.584094 + 2.55908i
\(713\) 1190.03 5213.88i 0.0625065 0.273859i
\(714\) −8480.78 20819.8i −0.444517 1.09126i
\(715\) 2006.29 + 8790.12i 0.104938 + 0.459765i
\(716\) 6510.73 0.339829
\(717\) −2114.29 −0.110125
\(718\) −5042.95 22094.6i −0.262119 1.14842i
\(719\) −22049.4 10618.4i −1.14368 0.550766i −0.236548 0.971620i \(-0.576016\pi\)
−0.907128 + 0.420854i \(0.861730\pi\)
\(720\) −24305.6 + 30478.3i −1.25808 + 1.57758i
\(721\) −7495.18 + 13375.2i −0.387150 + 0.690869i
\(722\) 10617.9 + 13314.4i 0.547308 + 0.686302i
\(723\) −4300.29 18840.8i −0.221203 0.969152i
\(724\) −17066.5 21400.7i −0.876065 1.09855i
\(725\) 477.020 + 229.721i 0.0244360 + 0.0117677i
\(726\) −1866.20 + 2340.14i −0.0954010 + 0.119629i
\(727\) 10941.7 5269.26i 0.558194 0.268812i −0.133444 0.991056i \(-0.542604\pi\)
0.691638 + 0.722244i \(0.256889\pi\)
\(728\) −27025.2 + 4428.46i −1.37585 + 0.225453i
\(729\) −18175.2 8752.71i −0.923396 0.444684i
\(730\) −40226.7 + 19372.1i −2.03953 + 0.982185i
\(731\) 692.637 3034.64i 0.0350453 0.153543i
\(732\) −33070.6 + 15925.9i −1.66984 + 0.804153i
\(733\) 10818.1 + 13565.5i 0.545125 + 0.683565i 0.975730 0.218975i \(-0.0702714\pi\)
−0.430606 + 0.902540i \(0.641700\pi\)
\(734\) 41981.0 2.11110
\(735\) 10227.5 + 16710.0i 0.513263 + 0.838582i
\(736\) −73895.6 −3.70085
\(737\) −7762.94 9734.42i −0.387994 0.486529i
\(738\) 16497.6 7944.81i 0.822878 0.396277i
\(739\) 8382.98 36728.2i 0.417284 1.82824i −0.130281 0.991477i \(-0.541588\pi\)
0.547565 0.836763i \(-0.315555\pi\)
\(740\) −5228.02 + 2517.68i −0.259711 + 0.125070i
\(741\) −4148.45 1997.79i −0.205664 0.0990427i
\(742\) −21158.7 + 37757.7i −1.04685 + 1.86810i
\(743\) −21478.8 + 10343.7i −1.06054 + 0.510730i −0.881047 0.473029i \(-0.843161\pi\)
−0.179495 + 0.983759i \(0.557446\pi\)
\(744\) −11772.7 + 14762.5i −0.580120 + 0.727448i
\(745\) −23927.0 11522.6i −1.17667 0.566654i
\(746\) 26436.6 + 33150.4i 1.29747 + 1.62698i
\(747\) −1081.50 4738.35i −0.0529718 0.232085i
\(748\) −26310.7 32992.6i −1.28612 1.61274i
\(749\) −2178.71 + 35107.3i −0.106286 + 1.71267i
\(750\) −10108.0 + 12675.1i −0.492124 + 0.617104i
\(751\) 6854.02 + 3300.72i 0.333031 + 0.160379i 0.592925 0.805258i \(-0.297973\pi\)
−0.259893 + 0.965637i \(0.583687\pi\)
\(752\) 19456.0 + 85242.5i 0.943469 + 4.13361i
\(753\) −9397.58 −0.454803
\(754\) 734.479 0.0354750
\(755\) −1470.81 6444.05i −0.0708984 0.310626i
\(756\) 62578.4 10254.3i 3.01052 0.493316i
\(757\) 3952.18 17315.6i 0.189755 0.831370i −0.786990 0.616966i \(-0.788362\pi\)
0.976745 0.214404i \(-0.0687811\pi\)
\(758\) −9607.97 + 42095.2i −0.460392 + 2.01711i
\(759\) 8027.37 10066.0i 0.383893 0.481387i
\(760\) 43169.1 54132.3i 2.06040 2.58366i
\(761\) 791.181 3466.39i 0.0376876 0.165120i −0.952582 0.304282i \(-0.901584\pi\)
0.990270 + 0.139161i \(0.0444407\pi\)
\(762\) 12841.0 56260.1i 0.610473 2.67466i
\(763\) −16670.3 4908.95i −0.790962 0.232917i
\(764\) −4689.25 20544.9i −0.222056 0.972892i
\(765\) −8081.20 −0.381930
\(766\) 39755.0 1.87520
\(767\) −2873.36 12589.0i −0.135268 0.592650i
\(768\) 63192.8 + 30432.0i 2.96910 + 1.42985i
\(769\) 3825.80 4797.40i 0.179404 0.224966i −0.683996 0.729486i \(-0.739759\pi\)
0.863400 + 0.504520i \(0.168331\pi\)
\(770\) 36982.1 + 33442.4i 1.73084 + 1.56517i