Properties

Label 147.4.o.a.101.28
Level $147$
Weight $4$
Character 147.101
Analytic conductor $8.673$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 147 = 3 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 147.o (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(8.67328077084\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 101.28
Character \(\chi\) \(=\) 147.101
Dual form 147.4.o.a.131.28

$q$-expansion

\(f(q)\) \(=\) \(q+(0.283103 + 0.111110i) q^{2} +(-4.60008 - 2.41646i) q^{3} +(-5.79661 - 5.37847i) q^{4} +(14.9795 + 10.2129i) q^{5} +(-1.03380 - 1.19522i) q^{6} +(-13.0100 + 13.1810i) q^{7} +(-2.09908 - 4.35878i) q^{8} +(15.3215 + 22.2318i) q^{9} +O(q^{10})\) \(q+(0.283103 + 0.111110i) q^{2} +(-4.60008 - 2.41646i) q^{3} +(-5.79661 - 5.37847i) q^{4} +(14.9795 + 10.2129i) q^{5} +(-1.03380 - 1.19522i) q^{6} +(-13.0100 + 13.1810i) q^{7} +(-2.09908 - 4.35878i) q^{8} +(15.3215 + 22.2318i) q^{9} +(3.10600 + 4.55566i) q^{10} +(-4.06296 - 26.9560i) q^{11} +(13.6681 + 38.7487i) q^{12} +(40.2721 - 32.1159i) q^{13} +(-5.14771 + 2.28604i) q^{14} +(-44.2281 - 83.1773i) q^{15} +(4.61748 + 61.6160i) q^{16} +(81.2257 + 25.0548i) q^{17} +(1.86739 + 7.99625i) q^{18} +(94.1016 - 54.3296i) q^{19} +(-31.9009 - 139.767i) q^{20} +(91.6985 - 29.1956i) q^{21} +(1.84483 - 8.08274i) q^{22} +(-8.40103 - 27.2355i) q^{23} +(-0.876869 + 25.1231i) q^{24} +(74.4157 + 189.608i) q^{25} +(14.9695 - 4.61749i) q^{26} +(-16.7580 - 139.292i) q^{27} +(146.308 - 6.43121i) q^{28} +(251.444 - 57.3904i) q^{29} +(-3.27929 - 28.4619i) q^{30} +(33.3614 + 19.2612i) q^{31} +(-16.9468 + 54.9403i) q^{32} +(-46.4479 + 133.818i) q^{33} +(20.2114 + 16.1180i) q^{34} +(-329.500 + 64.5757i) q^{35} +(30.7602 - 211.275i) q^{36} +(-84.6140 + 78.5103i) q^{37} +(32.6770 - 4.92526i) q^{38} +(-262.862 + 50.4201i) q^{39} +(13.0725 - 86.7301i) q^{40} +(-416.591 + 200.620i) q^{41} +(29.2040 + 1.92323i) q^{42} +(296.963 + 143.010i) q^{43} +(-121.430 + 178.106i) q^{44} +(2.45843 + 489.497i) q^{45} +(0.647769 - 8.64388i) q^{46} +(-67.7263 + 172.564i) q^{47} +(127.651 - 294.596i) q^{48} +(-4.47846 - 342.971i) q^{49} +61.9469i q^{50} +(-313.101 - 311.532i) q^{51} +(-406.176 - 30.4387i) q^{52} +(200.228 - 215.795i) q^{53} +(10.7324 - 41.2958i) q^{54} +(214.436 - 445.282i) q^{55} +(84.7623 + 29.0399i) q^{56} +(-564.160 + 22.5282i) q^{57} +(77.5610 + 11.6904i) q^{58} +(433.618 - 295.636i) q^{59} +(-190.994 + 720.026i) q^{60} +(467.341 + 503.674i) q^{61} +(7.30461 + 9.15969i) q^{62} +(-492.370 - 87.2832i) q^{63} +(297.295 - 372.796i) q^{64} +(931.252 - 69.7877i) q^{65} +(-28.0180 + 32.7233i) q^{66} +(-123.279 + 213.526i) q^{67} +(-336.077 - 582.103i) q^{68} +(-27.1679 + 145.586i) q^{69} +(-100.457 - 18.3291i) q^{70} +(-306.770 - 70.0182i) q^{71} +(64.7425 - 113.449i) q^{72} +(-263.143 + 103.276i) q^{73} +(-32.6777 + 12.8251i) q^{74} +(115.861 - 1052.03i) q^{75} +(-837.680 - 191.195i) q^{76} +(408.166 + 297.144i) q^{77} +(-80.0190 - 14.9324i) q^{78} +(52.8640 + 91.5632i) q^{79} +(-560.107 + 970.135i) q^{80} +(-259.504 + 681.248i) q^{81} +(-140.229 + 10.5087i) q^{82} +(-280.931 + 352.277i) q^{83} +(-688.568 - 323.962i) q^{84} +(960.840 + 1204.86i) q^{85} +(68.1814 + 73.4821i) q^{86} +(-1295.34 - 343.602i) q^{87} +(-108.967 + 74.2923i) q^{88} +(-1028.52 - 155.025i) q^{89} +(-53.6919 + 138.851i) q^{90} +(-100.620 + 948.656i) q^{91} +(-97.7877 + 203.058i) q^{92} +(-106.921 - 169.220i) q^{93} +(-38.3470 + 41.3283i) q^{94} +(1964.46 + 147.216i) q^{95} +(210.718 - 211.779i) q^{96} -214.821i q^{97} +(36.8395 - 97.5936i) q^{98} +(537.028 - 503.332i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} + O(q^{10}) \) \( 648q - 11q^{3} - 234q^{4} + 14q^{6} + 28q^{7} - 125q^{9} - 58q^{10} - 207q^{12} - 28q^{13} - 148q^{15} + 726q^{16} - 81q^{18} - 342q^{19} - 371q^{21} - 156q^{22} - 428q^{24} + 1250q^{25} - 56q^{27} + 700q^{28} + 389q^{30} + 888q^{31} + 841q^{33} - 532q^{34} - 38q^{36} + 1178q^{37} - 180q^{39} + 194q^{40} + 56q^{42} + 1296q^{43} - 617q^{45} - 6756q^{46} - 2380q^{49} + 787q^{51} - 5204q^{52} + 4144q^{54} - 5698q^{55} + 863q^{57} - 3066q^{58} + 2820q^{60} + 1492q^{61} - 1085q^{63} + 7648q^{64} + 2568q^{66} + 142q^{67} - 5474q^{69} + 5180q^{70} + 1278q^{72} + 2876q^{73} - 1754q^{75} + 7644q^{76} + 936q^{78} - 992q^{79} + 911q^{81} + 1022q^{82} + 7868q^{84} + 2672q^{85} - 196q^{87} + 370q^{88} - 18767q^{90} - 2254q^{91} - 11096q^{93} - 3628q^{94} - 24248q^{96} + 10982q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/147\mathbb{Z}\right)^\times\).

\(n\) \(50\) \(52\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{42}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.283103 + 0.111110i 0.100092 + 0.0392832i 0.414859 0.909886i \(-0.363831\pi\)
−0.314767 + 0.949169i \(0.601926\pi\)
\(3\) −4.60008 2.41646i −0.885286 0.465047i
\(4\) −5.79661 5.37847i −0.724577 0.672309i
\(5\) 14.9795 + 10.2129i 1.33981 + 0.913466i 0.999638 0.0268981i \(-0.00856297\pi\)
0.340170 + 0.940364i \(0.389515\pi\)
\(6\) −1.03380 1.19522i −0.0703415 0.0813243i
\(7\) −13.0100 + 13.1810i −0.702475 + 0.711708i
\(8\) −2.09908 4.35878i −0.0927671 0.192633i
\(9\) 15.3215 + 22.2318i 0.567463 + 0.823399i
\(10\) 3.10600 + 4.55566i 0.0982202 + 0.144063i
\(11\) −4.06296 26.9560i −0.111366 0.738866i −0.972910 0.231183i \(-0.925740\pi\)
0.861544 0.507683i \(-0.169498\pi\)
\(12\) 13.6681 + 38.7487i 0.328802 + 0.932148i
\(13\) 40.2721 32.1159i 0.859190 0.685181i −0.0913380 0.995820i \(-0.529114\pi\)
0.950528 + 0.310639i \(0.100543\pi\)
\(14\) −5.14771 + 2.28604i −0.0982703 + 0.0436408i
\(15\) −44.2281 83.1773i −0.761309 1.43175i
\(16\) 4.61748 + 61.6160i 0.0721481 + 0.962749i
\(17\) 81.2257 + 25.0548i 1.15883 + 0.357452i 0.813803 0.581141i \(-0.197393\pi\)
0.345028 + 0.938593i \(0.387870\pi\)
\(18\) 1.86739 + 7.99625i 0.0244527 + 0.104707i
\(19\) 94.1016 54.3296i 1.13623 0.656003i 0.190736 0.981641i \(-0.438913\pi\)
0.945494 + 0.325638i \(0.105579\pi\)
\(20\) −31.9009 139.767i −0.356663 1.56264i
\(21\) 91.6985 29.1956i 0.952869 0.303381i
\(22\) 1.84483 8.08274i 0.0178782 0.0783294i
\(23\) −8.40103 27.2355i −0.0761624 0.246913i 0.909483 0.415741i \(-0.136478\pi\)
−0.985645 + 0.168829i \(0.946002\pi\)
\(24\) −0.876869 + 25.1231i −0.00745793 + 0.213676i
\(25\) 74.4157 + 189.608i 0.595325 + 1.51686i
\(26\) 14.9695 4.61749i 0.112914 0.0348294i
\(27\) −16.7580 139.292i −0.119447 0.992841i
\(28\) 146.308 6.43121i 0.987485 0.0434066i
\(29\) 251.444 57.3904i 1.61007 0.367487i 0.679518 0.733658i \(-0.262189\pi\)
0.930547 + 0.366171i \(0.119332\pi\)
\(30\) −3.27929 28.4619i −0.0199571 0.173214i
\(31\) 33.3614 + 19.2612i 0.193287 + 0.111594i 0.593520 0.804819i \(-0.297738\pi\)
−0.400234 + 0.916413i \(0.631071\pi\)
\(32\) −16.9468 + 54.9403i −0.0936190 + 0.303505i
\(33\) −46.4479 + 133.818i −0.245017 + 0.705898i
\(34\) 20.2114 + 16.1180i 0.101948 + 0.0813007i
\(35\) −329.500 + 64.5757i −1.59130 + 0.311865i
\(36\) 30.7602 211.275i 0.142408 0.978126i
\(37\) −84.6140 + 78.5103i −0.375958 + 0.348838i −0.845408 0.534121i \(-0.820643\pi\)
0.469450 + 0.882959i \(0.344452\pi\)
\(38\) 32.6770 4.92526i 0.139497 0.0210259i
\(39\) −262.862 + 50.4201i −1.07927 + 0.207018i
\(40\) 13.0725 86.7301i 0.0516734 0.342831i
\(41\) −416.591 + 200.620i −1.58684 + 0.764184i −0.998997 0.0447873i \(-0.985739\pi\)
−0.587848 + 0.808971i \(0.700025\pi\)
\(42\) 29.2040 + 1.92323i 0.107292 + 0.00706575i
\(43\) 296.963 + 143.010i 1.05317 + 0.507182i 0.878648 0.477470i \(-0.158446\pi\)
0.174527 + 0.984652i \(0.444161\pi\)
\(44\) −121.430 + 178.106i −0.416053 + 0.610238i
\(45\) 2.45843 + 489.497i 0.00814401 + 1.62155i
\(46\) 0.647769 8.64388i 0.00207627 0.0277059i
\(47\) −67.7263 + 172.564i −0.210189 + 0.535554i −0.996622 0.0821219i \(-0.973830\pi\)
0.786433 + 0.617676i \(0.211926\pi\)
\(48\) 127.651 294.596i 0.383852 0.885861i
\(49\) −4.47846 342.971i −0.0130567 0.999915i
\(50\) 61.9469i 0.175212i
\(51\) −313.101 311.532i −0.859665 0.855358i
\(52\) −406.176 30.4387i −1.08320 0.0811748i
\(53\) 200.228 215.795i 0.518933 0.559277i −0.418152 0.908377i \(-0.637322\pi\)
0.937085 + 0.349100i \(0.113513\pi\)
\(54\) 10.7324 41.2958i 0.0270462 0.104068i
\(55\) 214.436 445.282i 0.525720 1.09167i
\(56\) 84.7623 + 29.0399i 0.202265 + 0.0692968i
\(57\) −564.160 + 22.5282i −1.31096 + 0.0523496i
\(58\) 77.5610 + 11.6904i 0.175591 + 0.0264660i
\(59\) 433.618 295.636i 0.956818 0.652348i 0.0191270 0.999817i \(-0.493911\pi\)
0.937691 + 0.347469i \(0.112959\pi\)
\(60\) −190.994 + 720.026i −0.410953 + 1.54925i
\(61\) 467.341 + 503.674i 0.980933 + 1.05719i 0.998354 + 0.0573463i \(0.0182639\pi\)
−0.0174212 + 0.999848i \(0.505546\pi\)
\(62\) 7.30461 + 9.15969i 0.0149627 + 0.0187626i
\(63\) −492.370 87.2832i −0.984648 0.174550i
\(64\) 297.295 372.796i 0.580654 0.728118i
\(65\) 931.252 69.7877i 1.77704 0.133171i
\(66\) −28.0180 + 32.7233i −0.0522541 + 0.0610297i
\(67\) −123.279 + 213.526i −0.224791 + 0.389349i −0.956257 0.292529i \(-0.905503\pi\)
0.731466 + 0.681878i \(0.238836\pi\)
\(68\) −336.077 582.103i −0.599344 1.03809i
\(69\) −27.1679 + 145.586i −0.0474004 + 0.254007i
\(70\) −100.457 18.3291i −0.171528 0.0312963i
\(71\) −306.770 70.0182i −0.512773 0.117037i −0.0416979 0.999130i \(-0.513277\pi\)
−0.471075 + 0.882093i \(0.656134\pi\)
\(72\) 64.7425 113.449i 0.105972 0.185696i
\(73\) −263.143 + 103.276i −0.421899 + 0.165583i −0.566786 0.823865i \(-0.691813\pi\)
0.144887 + 0.989448i \(0.453718\pi\)
\(74\) −32.6777 + 12.8251i −0.0513339 + 0.0201471i
\(75\) 115.861 1052.03i 0.178380 1.61971i
\(76\) −837.680 191.195i −1.26432 0.288573i
\(77\) 408.166 + 297.144i 0.604089 + 0.439775i
\(78\) −80.0190 14.9324i −0.116159 0.0216764i
\(79\) 52.8640 + 91.5632i 0.0752870 + 0.130401i 0.901211 0.433381i \(-0.142679\pi\)
−0.825924 + 0.563781i \(0.809346\pi\)
\(80\) −560.107 + 970.135i −0.782774 + 1.35580i
\(81\) −259.504 + 681.248i −0.355972 + 0.934496i
\(82\) −140.229 + 10.5087i −0.188850 + 0.0141524i
\(83\) −280.931 + 352.277i −0.371521 + 0.465872i −0.932085 0.362238i \(-0.882013\pi\)
0.560565 + 0.828110i \(0.310584\pi\)
\(84\) −688.568 323.962i −0.894393 0.420800i
\(85\) 960.840 + 1204.86i 1.22609 + 1.53747i
\(86\) 68.1814 + 73.4821i 0.0854906 + 0.0921369i
\(87\) −1295.34 343.602i −1.59627 0.423425i
\(88\) −108.967 + 74.2923i −0.131999 + 0.0899953i
\(89\) −1028.52 155.025i −1.22498 0.184636i −0.495482 0.868618i \(-0.665008\pi\)
−0.729499 + 0.683982i \(0.760247\pi\)
\(90\) −53.6919 + 138.851i −0.0628847 + 0.162625i
\(91\) −100.620 + 948.656i −0.115911 + 1.09282i
\(92\) −97.7877 + 203.058i −0.110816 + 0.230112i
\(93\) −106.921 169.220i −0.119218 0.188680i
\(94\) −38.3470 + 41.3283i −0.0420765 + 0.0453477i
\(95\) 1964.46 + 147.216i 2.12157 + 0.158989i
\(96\) 210.718 211.779i 0.224024 0.225152i
\(97\) 214.821i 0.224863i −0.993659 0.112432i \(-0.964136\pi\)
0.993659 0.112432i \(-0.0358639\pi\)
\(98\) 36.8395 97.5936i 0.0379730 0.100596i
\(99\) 537.028 503.332i 0.545186 0.510978i
\(100\) 588.442 1499.33i 0.588442 1.49933i
\(101\) 87.7814 1171.36i 0.0864809 1.15401i −0.770075 0.637953i \(-0.779781\pi\)
0.856556 0.516054i \(-0.172600\pi\)
\(102\) −54.0255 122.984i −0.0524443 0.119385i
\(103\) −375.857 + 551.281i −0.359556 + 0.527372i −0.962811 0.270177i \(-0.912918\pi\)
0.603255 + 0.797549i \(0.293870\pi\)
\(104\) −224.521 108.123i −0.211693 0.101946i
\(105\) 1671.77 + 499.168i 1.55379 + 0.463941i
\(106\) 80.6620 38.8448i 0.0739112 0.0355938i
\(107\) 59.1189 392.228i 0.0534135 0.354375i −0.946120 0.323818i \(-0.895034\pi\)
0.999533 0.0305577i \(-0.00972833\pi\)
\(108\) −652.037 + 897.552i −0.580947 + 0.799695i
\(109\) 1275.95 192.319i 1.12123 0.168999i 0.437842 0.899052i \(-0.355743\pi\)
0.683390 + 0.730053i \(0.260505\pi\)
\(110\) 110.183 102.235i 0.0955045 0.0886153i
\(111\) 578.948 156.688i 0.495057 0.133983i
\(112\) −872.235 740.762i −0.735879 0.624959i
\(113\) 753.352 + 600.778i 0.627163 + 0.500146i 0.884723 0.466117i \(-0.154347\pi\)
−0.257561 + 0.966262i \(0.582919\pi\)
\(114\) −162.218 56.3058i −0.133273 0.0462590i
\(115\) 152.309 493.773i 0.123503 0.400387i
\(116\) −1766.19 1019.71i −1.41368 0.816189i
\(117\) 1331.02 + 403.257i 1.05174 + 0.318642i
\(118\) 155.607 35.5162i 0.121396 0.0277079i
\(119\) −1387.00 + 744.674i −1.06845 + 0.573648i
\(120\) −269.714 + 367.376i −0.205178 + 0.279473i
\(121\) 561.751 173.277i 0.422052 0.130186i
\(122\) 76.3426 + 194.518i 0.0566535 + 0.144351i
\(123\) 2401.14 + 83.8069i 1.76019 + 0.0614359i
\(124\) −89.7874 291.083i −0.0650253 0.210807i
\(125\) −317.448 + 1390.83i −0.227147 + 0.995198i
\(126\) −129.693 79.4172i −0.0916985 0.0561512i
\(127\) 464.885 + 2036.79i 0.324818 + 1.42312i 0.828867 + 0.559445i \(0.188986\pi\)
−0.504050 + 0.863675i \(0.668157\pi\)
\(128\) 523.921 302.486i 0.361785 0.208877i
\(129\) −1020.48 1375.46i −0.696497 0.938777i
\(130\) 271.394 + 83.7140i 0.183099 + 0.0564785i
\(131\) −117.404 1566.64i −0.0783024 1.04487i −0.888548 0.458783i \(-0.848286\pi\)
0.810246 0.586090i \(-0.199333\pi\)
\(132\) 988.975 525.870i 0.652115 0.346751i
\(133\) −508.145 + 1947.18i −0.331291 + 1.26949i
\(134\) −58.6256 + 46.7523i −0.0377946 + 0.0301402i
\(135\) 1171.54 2257.67i 0.746889 1.43933i
\(136\) −61.2907 406.637i −0.0386444 0.256389i
\(137\) −345.472 506.714i −0.215443 0.315996i 0.703270 0.710923i \(-0.251722\pi\)
−0.918713 + 0.394926i \(0.870770\pi\)
\(138\) −23.8673 + 38.1972i −0.0147226 + 0.0235621i
\(139\) −1050.32 2181.00i −0.640910 1.33086i −0.927864 0.372920i \(-0.878357\pi\)
0.286953 0.957945i \(-0.407358\pi\)
\(140\) 2257.30 + 1397.88i 1.36269 + 0.843877i
\(141\) 728.539 630.150i 0.435135 0.376370i
\(142\) −79.0677 53.9074i −0.0467269 0.0318578i
\(143\) −1029.34 955.087i −0.601942 0.558520i
\(144\) −1299.09 + 1046.70i −0.751786 + 0.605731i
\(145\) 4352.62 + 1708.28i 2.49287 + 0.978378i
\(146\) −85.9716 −0.0487333
\(147\) −808.172 + 1588.52i −0.453448 + 0.891283i
\(148\) 912.740 0.506938
\(149\) −3025.60 1187.46i −1.66353 0.652889i −0.667729 0.744404i \(-0.732734\pi\)
−0.995804 + 0.0915155i \(0.970829\pi\)
\(150\) 149.692 284.961i 0.0814819 0.155113i
\(151\) 282.104 + 261.754i 0.152035 + 0.141068i 0.752523 0.658566i \(-0.228837\pi\)
−0.600488 + 0.799634i \(0.705027\pi\)
\(152\) −434.337 296.126i −0.231773 0.158020i
\(153\) 687.486 + 2189.67i 0.363267 + 1.15702i
\(154\) 82.5374 + 129.473i 0.0431887 + 0.0677485i
\(155\) 303.026 + 629.240i 0.157030 + 0.326076i
\(156\) 1794.89 + 1121.53i 0.921194 + 0.575603i
\(157\) −1427.60 2093.91i −0.725701 1.06441i −0.994855 0.101311i \(-0.967696\pi\)
0.269153 0.963097i \(-0.413256\pi\)
\(158\) 4.79240 + 31.7955i 0.00241306 + 0.0160096i
\(159\) −1442.52 + 508.830i −0.719494 + 0.253792i
\(160\) −814.953 + 649.903i −0.402673 + 0.321121i
\(161\) 468.289 + 243.600i 0.229232 + 0.119245i
\(162\) −149.160 + 164.030i −0.0723400 + 0.0795519i
\(163\) −28.3617 378.461i −0.0136286 0.181861i −0.999864 0.0165118i \(-0.994744\pi\)
0.986235 0.165349i \(-0.0528752\pi\)
\(164\) 3493.85 + 1077.71i 1.66356 + 0.513140i
\(165\) −2062.43 + 1530.16i −0.973089 + 0.721954i
\(166\) −118.674 + 68.5163i −0.0554872 + 0.0320355i
\(167\) −337.252 1477.60i −0.156271 0.684670i −0.990984 0.133984i \(-0.957223\pi\)
0.834712 0.550687i \(-0.185634\pi\)
\(168\) −319.740 338.410i −0.146836 0.155410i
\(169\) 101.531 444.835i 0.0462133 0.202474i
\(170\) 138.145 + 447.857i 0.0623251 + 0.202053i
\(171\) 2649.62 + 1259.64i 1.18492 + 0.563314i
\(172\) −952.207 2426.18i −0.422123 1.07555i
\(173\) 3915.54 1207.78i 1.72077 0.530787i 0.732138 0.681156i \(-0.238523\pi\)
0.988630 + 0.150369i \(0.0480463\pi\)
\(174\) −328.538 241.200i −0.143140 0.105088i
\(175\) −3467.38 1485.93i −1.49777 0.641862i
\(176\) 1642.16 374.812i 0.703308 0.160525i
\(177\) −2709.07 + 312.130i −1.15043 + 0.132549i
\(178\) −273.953 158.167i −0.115358 0.0666018i
\(179\) −544.149 + 1764.09i −0.227216 + 0.736615i 0.768134 + 0.640289i \(0.221185\pi\)
−0.995350 + 0.0963263i \(0.969291\pi\)
\(180\) 2618.50 2850.65i 1.08428 1.18042i
\(181\) −1066.13 850.213i −0.437818 0.349148i 0.379642 0.925134i \(-0.376047\pi\)
−0.817460 + 0.575985i \(0.804619\pi\)
\(182\) −133.891 + 257.387i −0.0545310 + 0.104829i
\(183\) −932.702 3446.25i −0.376761 1.39210i
\(184\) −101.079 + 93.7877i −0.0404981 + 0.0375767i
\(185\) −2069.29 + 311.895i −0.822364 + 0.123951i
\(186\) −11.4678 59.7866i −0.00452076 0.0235686i
\(187\) 345.360 2291.31i 0.135055 0.896029i
\(188\) 1320.71 636.022i 0.512356 0.246738i
\(189\) 2054.03 + 1591.30i 0.790521 + 0.612434i
\(190\) 539.786 + 259.947i 0.206106 + 0.0992555i
\(191\) −1185.93 + 1739.45i −0.449273 + 0.658963i −0.982339 0.187111i \(-0.940087\pi\)
0.533066 + 0.846074i \(0.321040\pi\)
\(192\) −2268.43 + 996.493i −0.852654 + 0.374561i
\(193\) −320.793 + 4280.69i −0.119643 + 1.59653i 0.537830 + 0.843053i \(0.319244\pi\)
−0.657474 + 0.753478i \(0.728375\pi\)
\(194\) 23.8687 60.8164i 0.00883335 0.0225070i
\(195\) −4452.47 1929.30i −1.63512 0.708513i
\(196\) −1818.70 + 2012.16i −0.662791 + 0.733293i
\(197\) 2715.19i 0.981976i −0.871166 0.490988i \(-0.836636\pi\)
0.871166 0.490988i \(-0.163364\pi\)
\(198\) 207.959 82.8257i 0.0746416 0.0297281i
\(199\) −938.098 70.3007i −0.334171 0.0250426i −0.0934117 0.995628i \(-0.529777\pi\)
−0.240759 + 0.970585i \(0.577396\pi\)
\(200\) 670.256 722.364i 0.236971 0.255394i
\(201\) 1083.07 684.338i 0.380069 0.240147i
\(202\) 155.001 321.862i 0.0539892 0.112110i
\(203\) −2514.82 + 4060.93i −0.869488 + 1.40405i
\(204\) 139.357 + 3489.84i 0.0478282 + 1.19773i
\(205\) −8289.24 1249.40i −2.82412 0.425668i
\(206\) −167.659 + 114.308i −0.0567055 + 0.0386612i
\(207\) 476.777 604.058i 0.160088 0.202826i
\(208\) 2164.81 + 2333.11i 0.721647 + 0.777750i
\(209\) −1846.84 2315.86i −0.611236 0.766466i
\(210\) 417.820 + 327.066i 0.137297 + 0.107475i
\(211\) 842.011 1055.85i 0.274723 0.344491i −0.625260 0.780416i \(-0.715007\pi\)
0.899983 + 0.435925i \(0.143579\pi\)
\(212\) −2321.29 + 173.957i −0.752014 + 0.0563556i
\(213\) 1241.97 + 1063.38i 0.399523 + 0.342075i
\(214\) 60.3171 104.472i 0.0192673 0.0333719i
\(215\) 2987.83 + 5175.07i 0.947758 + 1.64157i
\(216\) −571.966 + 365.429i −0.180173 + 0.115112i
\(217\) −687.916 + 189.149i −0.215202 + 0.0591716i
\(218\) 382.595 + 87.3248i 0.118865 + 0.0271302i
\(219\) 1460.04 + 160.795i 0.450505 + 0.0496144i
\(220\) −3637.94 + 1427.79i −1.11486 + 0.437551i
\(221\) 4075.79 1599.63i 1.24058 0.486890i
\(222\) 181.311 + 19.9679i 0.0548145 + 0.00603675i
\(223\) 1606.92 + 366.769i 0.482544 + 0.110138i 0.456871 0.889533i \(-0.348970\pi\)
0.0256731 + 0.999670i \(0.491827\pi\)
\(224\) −503.690 938.152i −0.150242 0.279834i
\(225\) −3075.17 + 4559.47i −0.911160 + 1.35095i
\(226\) 146.524 + 253.787i 0.0431266 + 0.0746975i
\(227\) −2265.31 + 3923.63i −0.662351 + 1.14723i 0.317645 + 0.948210i \(0.397108\pi\)
−0.979996 + 0.199016i \(0.936225\pi\)
\(228\) 3391.38 + 2903.73i 0.985087 + 0.843439i
\(229\) −5615.32 + 420.810i −1.62040 + 0.121432i −0.853766 0.520656i \(-0.825687\pi\)
−0.766631 + 0.642088i \(0.778068\pi\)
\(230\) 97.9819 122.865i 0.0280902 0.0352240i
\(231\) −1159.56 2353.20i −0.330275 0.670257i
\(232\) −777.953 975.522i −0.220151 0.276061i
\(233\) −395.637 426.395i −0.111240 0.119889i 0.674977 0.737839i \(-0.264154\pi\)
−0.786217 + 0.617950i \(0.787963\pi\)
\(234\) 332.011 + 262.053i 0.0927530 + 0.0732090i
\(235\) −2776.88 + 1893.24i −0.770824 + 0.525539i
\(236\) −4103.59 618.516i −1.13187 0.170602i
\(237\) −21.9205 548.942i −0.00600797 0.150454i
\(238\) −475.403 + 56.7105i −0.129478 + 0.0154454i
\(239\) −72.3809 + 150.301i −0.0195897 + 0.0406784i −0.910534 0.413434i \(-0.864329\pi\)
0.890944 + 0.454112i \(0.150044\pi\)
\(240\) 4920.83 3109.22i 1.32349 0.836248i
\(241\) 771.462 831.438i 0.206200 0.222231i −0.621481 0.783429i \(-0.713469\pi\)
0.827682 + 0.561198i \(0.189659\pi\)
\(242\) 178.286 + 13.3607i 0.0473581 + 0.00354900i
\(243\) 2839.94 2506.72i 0.749722 0.661753i
\(244\) 5433.19i 1.42551i
\(245\) 3435.63 5183.27i 0.895894 1.35162i
\(246\) 670.458 + 290.516i 0.173768 + 0.0752952i
\(247\) 2044.82 5210.12i 0.526757 1.34215i
\(248\) 13.9272 185.846i 0.00356605 0.0475857i
\(249\) 2143.57 941.643i 0.545554 0.239655i
\(250\) −244.405 + 358.477i −0.0618302 + 0.0906882i
\(251\) 3706.03 + 1784.73i 0.931963 + 0.448810i 0.837327 0.546702i \(-0.184117\pi\)
0.0946358 + 0.995512i \(0.469831\pi\)
\(252\) 2384.63 + 3154.15i 0.596102 + 0.788463i
\(253\) −700.025 + 337.114i −0.173953 + 0.0837715i
\(254\) −94.6973 + 628.275i −0.0233930 + 0.155203i
\(255\) −1508.46 7864.26i −0.370446 1.93129i
\(256\) −3590.06 + 541.114i −0.876478 + 0.132108i
\(257\) −2091.82 + 1940.92i −0.507719 + 0.471095i −0.891945 0.452145i \(-0.850659\pi\)
0.384225 + 0.923239i \(0.374469\pi\)
\(258\) −136.074 502.781i −0.0328356 0.121325i
\(259\) 65.9844 2136.72i 0.0158304 0.512623i
\(260\) −5773.46 4604.18i −1.37713 1.09823i
\(261\) 5128.38 + 4710.73i 1.21624 + 1.11719i
\(262\) 140.832 456.566i 0.0332085 0.107659i
\(263\) −2849.11 1644.93i −0.667999 0.385669i 0.127319 0.991862i \(-0.459363\pi\)
−0.795318 + 0.606193i \(0.792696\pi\)
\(264\) 680.780 78.4372i 0.158709 0.0182859i
\(265\) 5203.20 1187.60i 1.20615 0.275296i
\(266\) −360.208 + 494.793i −0.0830292 + 0.114052i
\(267\) 4356.68 + 3198.51i 0.998594 + 0.733129i
\(268\) 1863.05 574.674i 0.424641 0.130984i
\(269\) 156.697 + 399.259i 0.0355168 + 0.0904953i 0.947532 0.319662i \(-0.103569\pi\)
−0.912015 + 0.410157i \(0.865474\pi\)
\(270\) 582.515 508.983i 0.131299 0.114725i
\(271\) 153.780 + 498.541i 0.0344703 + 0.111750i 0.971173 0.238376i \(-0.0766150\pi\)
−0.936703 + 0.350126i \(0.886139\pi\)
\(272\) −1168.72 + 5120.49i −0.260529 + 1.14145i
\(273\) 2755.25 4120.75i 0.610825 0.913550i
\(274\) −41.5032 181.837i −0.00915073 0.0400920i
\(275\) 4808.72 2776.32i 1.05446 0.608793i
\(276\) 940.512 697.785i 0.205117 0.152180i
\(277\) 2785.26 + 859.140i 0.604153 + 0.186356i 0.581716 0.813392i \(-0.302381\pi\)
0.0224366 + 0.999748i \(0.492858\pi\)
\(278\) −55.0168 734.148i −0.0118694 0.158386i
\(279\) 82.9354 + 1036.79i 0.0177965 + 0.222478i
\(280\) 973.118 + 1300.67i 0.207696 + 0.277606i
\(281\) −3876.74 + 3091.60i −0.823014 + 0.656332i −0.941645 0.336607i \(-0.890721\pi\)
0.118631 + 0.992938i \(0.462149\pi\)
\(282\) 276.267 97.4495i 0.0583386 0.0205781i
\(283\) 1297.76 + 8610.05i 0.272592 + 1.80853i 0.536409 + 0.843958i \(0.319780\pi\)
−0.263817 + 0.964573i \(0.584982\pi\)
\(284\) 1401.63 + 2055.82i 0.292858 + 0.429544i
\(285\) −8680.91 5424.22i −1.80426 1.12738i
\(286\) −185.289 384.758i −0.0383091 0.0795496i
\(287\) 2775.49 8101.17i 0.570843 1.66619i
\(288\) −1481.07 + 465.009i −0.303031 + 0.0951421i
\(289\) 1910.56 + 1302.60i 0.388878 + 0.265133i
\(290\) 1042.43 + 967.237i 0.211082 + 0.195856i
\(291\) −519.105 + 988.193i −0.104572 + 0.199068i
\(292\) 2080.81 + 816.657i 0.417021 + 0.163669i
\(293\) −1019.76 −0.203327 −0.101664 0.994819i \(-0.532417\pi\)
−0.101664 + 0.994819i \(0.532417\pi\)
\(294\) −405.295 + 359.917i −0.0803990 + 0.0713973i
\(295\) 9514.68 1.87785
\(296\) 519.821 + 204.015i 0.102074 + 0.0400612i
\(297\) −3686.65 + 1017.66i −0.720274 + 0.198824i
\(298\) −724.616 672.346i −0.140859 0.130698i
\(299\) −1213.02 827.023i −0.234618 0.159960i
\(300\) −6329.94 + 5475.08i −1.21820 + 1.05368i
\(301\) −5748.52 + 2053.72i −1.10079 + 0.393270i
\(302\) 50.7810 + 105.448i 0.00967589 + 0.0200922i
\(303\) −3234.34 + 5176.24i −0.613228 + 0.981409i
\(304\) 3782.08 + 5547.29i 0.713543 + 1.04658i
\(305\) 1856.59 + 12317.7i 0.348551 + 2.31249i
\(306\) −48.6642 + 696.288i −0.00909134 + 0.130079i
\(307\) 3146.10 2508.93i 0.584877 0.466424i −0.285793 0.958291i \(-0.592257\pi\)
0.870670 + 0.491868i \(0.163686\pi\)
\(308\) −767.802 3917.74i −0.142044 0.724785i
\(309\) 3061.12 1627.70i 0.563563 0.299665i
\(310\) 15.8729 + 211.809i 0.00290812 + 0.0388062i
\(311\) −7989.76 2464.51i −1.45678 0.449356i −0.537600 0.843200i \(-0.680669\pi\)
−0.919177 + 0.393844i \(0.871145\pi\)
\(312\) 771.538 + 1039.92i 0.139999 + 0.188699i
\(313\) −2046.55 + 1181.58i −0.369578 + 0.213376i −0.673274 0.739393i \(-0.735113\pi\)
0.303696 + 0.952769i \(0.401779\pi\)
\(314\) −171.505 751.412i −0.0308235 0.135047i
\(315\) −6484.06 6335.97i −1.15979 1.13331i
\(316\) 186.038 815.084i 0.0331185 0.145101i
\(317\) −431.124 1397.67i −0.0763859 0.247637i 0.909324 0.416089i \(-0.136599\pi\)
−0.985710 + 0.168452i \(0.946123\pi\)
\(318\) −464.919 16.2270i −0.0819854 0.00286153i
\(319\) −2568.62 6544.73i −0.450831 1.14870i
\(320\) 8260.65 2548.07i 1.44308 0.445130i
\(321\) −1219.75 + 1661.42i −0.212087 + 0.288884i
\(322\) 105.508 + 120.995i 0.0182600 + 0.0209404i
\(323\) 9004.68 2055.26i 1.55119 0.354049i
\(324\) 5168.32 2553.20i 0.886200 0.437791i
\(325\) 9086.31 + 5245.99i 1.55082 + 0.895369i
\(326\) 34.0214 110.295i 0.00577998 0.0187382i
\(327\) −6334.23 2198.60i −1.07120 0.371814i
\(328\) 1748.92 + 1394.71i 0.294414 + 0.234787i
\(329\) −1393.45 3137.76i −0.233505 0.525807i
\(330\) −753.894 + 204.036i −0.125759 + 0.0340358i
\(331\) −1712.51 + 1588.97i −0.284374 + 0.263861i −0.809442 0.587200i \(-0.800230\pi\)
0.525068 + 0.851060i \(0.324040\pi\)
\(332\) 3523.16 531.031i 0.582405 0.0877834i
\(333\) −3041.84 678.225i −0.500575 0.111611i
\(334\) 68.6984 455.784i 0.0112545 0.0746688i
\(335\) −4027.38 + 1939.48i −0.656833 + 0.316314i
\(336\) 2222.33 + 5515.28i 0.360828 + 0.895486i
\(337\) 3315.98 + 1596.89i 0.536002 + 0.258125i 0.682245 0.731124i \(-0.261004\pi\)
−0.146243 + 0.989249i \(0.546718\pi\)
\(338\) 78.1691 114.653i 0.0125794 0.0184506i
\(339\) −2013.73 4584.07i −0.322627 0.734432i
\(340\) 910.661 12151.9i 0.145257 1.93833i
\(341\) 383.659 977.547i 0.0609276 0.155241i
\(342\) 610.157 + 651.005i 0.0964722 + 0.102931i
\(343\) 4578.97 + 4403.03i 0.720819 + 0.693123i
\(344\) 1594.59i 0.249926i
\(345\) −1893.81 + 1903.35i −0.295534 + 0.297022i
\(346\) 1242.70 + 93.1272i 0.193086 + 0.0144698i
\(347\) −3000.41 + 3233.67i −0.464180 + 0.500267i −0.921146 0.389217i \(-0.872746\pi\)
0.456966 + 0.889484i \(0.348936\pi\)
\(348\) 5660.55 + 8958.69i 0.871946 + 1.37999i
\(349\) −1517.20 + 3150.50i −0.232705 + 0.483217i −0.984322 0.176384i \(-0.943560\pi\)
0.751617 + 0.659600i \(0.229274\pi\)
\(350\) −816.523 805.930i −0.124700 0.123082i
\(351\) −5148.36 5071.37i −0.782904 0.771196i
\(352\) 1549.82 + 233.598i 0.234676 + 0.0353717i
\(353\) 4104.36 2798.30i 0.618846 0.421922i −0.212903 0.977073i \(-0.568292\pi\)
0.831750 + 0.555151i \(0.187340\pi\)
\(354\) −801.626 212.639i −0.120356 0.0319255i
\(355\) −3880.17 4181.83i −0.580108 0.625208i
\(356\) 5128.16 + 6430.50i 0.763460 + 0.957348i
\(357\) 8179.76 73.9447i 1.21266 0.0109624i
\(358\) −350.057 + 438.958i −0.0516791 + 0.0648035i
\(359\) 3152.26 236.229i 0.463426 0.0347290i 0.159028 0.987274i \(-0.449164\pi\)
0.304398 + 0.952545i \(0.401545\pi\)
\(360\) 2128.45 1038.21i 0.311609 0.151996i
\(361\) 2473.90 4284.92i 0.360680 0.624715i
\(362\) −207.359 359.156i −0.0301064 0.0521459i
\(363\) −3002.82 560.357i −0.434179 0.0810224i
\(364\) 5685.58 4957.81i 0.818696 0.713901i
\(365\) −4996.51 1140.42i −0.716518 0.163541i
\(366\) 118.861 1079.28i 0.0169754 0.154138i
\(367\) 5926.58 2326.01i 0.842956 0.330836i 0.0957310 0.995407i \(-0.469481\pi\)
0.747225 + 0.664572i \(0.231386\pi\)
\(368\) 1639.35 643.397i 0.232220 0.0911396i
\(369\) −10842.9 6187.77i −1.52970 0.872961i
\(370\) −620.477 141.620i −0.0871812 0.0198985i
\(371\) 239.419 + 5446.71i 0.0335041 + 0.762207i
\(372\) −290.361 + 1555.97i −0.0404691 + 0.216864i
\(373\) 2671.45 + 4627.08i 0.370837 + 0.642309i 0.989695 0.143194i \(-0.0457374\pi\)
−0.618857 + 0.785503i \(0.712404\pi\)
\(374\) 352.359 610.304i 0.0487168 0.0843799i
\(375\) 4821.17 5630.84i 0.663904 0.775401i
\(376\) 894.332 67.0209i 0.122664 0.00919239i
\(377\) 8283.02 10386.6i 1.13156 1.41893i
\(378\) 404.692 + 678.724i 0.0550665 + 0.0923540i
\(379\) 471.925 + 591.775i 0.0639608 + 0.0802043i 0.812783 0.582567i \(-0.197952\pi\)
−0.748822 + 0.662771i \(0.769380\pi\)
\(380\) −10595.4 11419.1i −1.43035 1.54155i
\(381\) 2783.31 10492.8i 0.374261 1.41092i
\(382\) −529.010 + 360.673i −0.0708548 + 0.0483080i
\(383\) −813.016 122.542i −0.108468 0.0163489i 0.0945840 0.995517i \(-0.469848\pi\)
−0.203052 + 0.979168i \(0.565086\pi\)
\(384\) −3141.02 + 125.428i −0.417421 + 0.0166686i
\(385\) 3079.44 + 8619.61i 0.407644 + 1.14103i
\(386\) −566.443 + 1176.23i −0.0746922 + 0.155100i
\(387\) 1370.55 + 8793.15i 0.180024 + 1.15499i
\(388\) −1155.41 + 1245.23i −0.151178 + 0.162931i
\(389\) −2861.94 214.473i −0.373024 0.0279542i −0.113100 0.993584i \(-0.536078\pi\)
−0.259923 + 0.965629i \(0.583697\pi\)
\(390\) −1046.14 1040.90i −0.135830 0.135149i
\(391\) 2422.71i 0.313354i
\(392\) −1485.53 + 739.444i −0.191405 + 0.0952743i
\(393\) −3245.66 + 7490.39i −0.416595 + 0.961425i
\(394\) 301.684 768.678i 0.0385752 0.0982879i
\(395\) −143.245 + 1911.47i −0.0182466 + 0.243484i
\(396\) −5820.10 + 29.2306i −0.738564 + 0.00370932i
\(397\) −7369.60 + 10809.2i −0.931661 + 1.36650i −0.00124201 + 0.999999i \(0.500395\pi\)
−0.930419 + 0.366497i \(0.880557\pi\)
\(398\) −257.767 124.134i −0.0324641 0.0156339i
\(399\) 7042.79 7729.29i 0.883660 0.969796i
\(400\) −11339.3 + 5460.70i −1.41741 + 0.682588i
\(401\) −1239.19 + 8221.46i −0.154319 + 1.02384i 0.768845 + 0.639435i \(0.220832\pi\)
−0.923164 + 0.384406i \(0.874406\pi\)
\(402\) 382.657 73.3984i 0.0474756 0.00910642i
\(403\) 1962.13 295.743i 0.242532 0.0365559i
\(404\) −6808.97 + 6317.80i −0.838512 + 0.778025i
\(405\) −10844.7 + 7554.48i −1.33057 + 0.926877i
\(406\) −1163.16 + 870.240i −0.142184 + 0.106378i
\(407\) 2460.10 + 1961.87i 0.299614 + 0.238934i
\(408\) −700.679 + 2018.67i −0.0850215 + 0.244949i
\(409\) 2354.98 7634.66i 0.284710 0.923006i −0.694385 0.719603i \(-0.744324\pi\)
0.979095 0.203403i \(-0.0652002\pi\)
\(410\) −2207.89 1274.72i −0.265950 0.153547i
\(411\) 364.746 + 3165.74i 0.0437752 + 0.379938i
\(412\) 5143.75 1174.03i 0.615083 0.140389i
\(413\) −1744.60 + 9561.76i −0.207860 + 1.13923i
\(414\) 202.094 118.036i 0.0239912 0.0140124i
\(415\) −7805.96 + 2407.82i −0.923324 + 0.284808i
\(416\) 1081.97 + 2756.83i 0.127520 + 0.324915i
\(417\) −438.758 + 12570.8i −0.0515254 + 1.47625i
\(418\) −265.530 860.828i −0.0310706 0.100728i
\(419\) 1920.25 8413.15i 0.223891 0.980929i −0.730627 0.682776i \(-0.760772\pi\)
0.954518 0.298153i \(-0.0963706\pi\)
\(420\) −7005.84 11885.0i −0.813929 1.38079i
\(421\) −2929.31 12834.1i −0.339111 1.48574i −0.800925 0.598764i \(-0.795659\pi\)
0.461815 0.886977i \(-0.347199\pi\)
\(422\) 355.691 205.358i 0.0410302 0.0236888i
\(423\) −4874.07 + 1138.26i −0.560249 + 0.130837i
\(424\) −1360.90 419.781i −0.155875 0.0480811i
\(425\) 1293.87 + 17265.5i 0.147675 + 1.97059i
\(426\) 233.453 + 439.042i 0.0265512 + 0.0499335i
\(427\) −12719.1 392.780i −1.44150 0.0445151i
\(428\) −2452.28 + 1955.63i −0.276952 + 0.220862i
\(429\) 2427.12 + 6880.83i 0.273152 + 0.774382i
\(430\) 270.862 + 1797.05i 0.0303770 + 0.201539i
\(431\) −7951.76 11663.1i −0.888684 1.30346i −0.952199 0.305479i \(-0.901183\pi\)
0.0635146 0.997981i \(-0.479769\pi\)
\(432\) 8505.21 1675.74i 0.947239 0.186629i
\(433\) 2570.16 + 5336.99i 0.285251 + 0.592331i 0.993526 0.113607i \(-0.0362403\pi\)
−0.708274 + 0.705937i \(0.750526\pi\)
\(434\) −215.767 22.8856i −0.0238644 0.00253121i
\(435\) −15894.4 18376.1i −1.75191 2.02544i
\(436\) −8430.60 5747.89i −0.926038 0.631362i
\(437\) −2270.24 2106.48i −0.248513 0.230587i
\(438\) 395.477 + 207.747i 0.0431429 + 0.0226633i
\(439\) −122.752 48.1768i −0.0133455 0.00523771i 0.358659 0.933469i \(-0.383234\pi\)
−0.372004 + 0.928231i \(0.621329\pi\)
\(440\) −2391.01 −0.259061
\(441\) 7556.23 5354.39i 0.815920 0.578165i
\(442\) 1331.60 0.143298
\(443\) 8415.92 + 3303.01i 0.902602 + 0.354245i 0.770834 0.637036i \(-0.219840\pi\)
0.131767 + 0.991281i \(0.457935\pi\)
\(444\) −4198.68 2205.60i −0.448785 0.235750i
\(445\) −13823.5 12826.4i −1.47258 1.36635i
\(446\) 414.172 + 282.378i 0.0439723 + 0.0299798i
\(447\) 11048.5 + 12773.6i 1.16908 + 1.35161i
\(448\) 1046.02 + 8768.74i 0.110312 + 0.924741i
\(449\) 4736.96 + 9836.41i 0.497887 + 1.03387i 0.986861 + 0.161574i \(0.0516571\pi\)
−0.488974 + 0.872298i \(0.662629\pi\)
\(450\) −1377.19 + 949.118i −0.144270 + 0.0994264i
\(451\) 7100.49 + 10414.5i 0.741351 + 1.08736i
\(452\) −1135.62 7534.36i −0.118175 0.784041i
\(453\) −665.184 1885.78i −0.0689913 0.195589i
\(454\) −1077.27 + 859.093i −0.111363 + 0.0888088i
\(455\) −11195.7 + 13182.8i −1.15355 + 1.35828i
\(456\) 1282.41 + 2411.76i 0.131698 + 0.247678i
\(457\) 295.389 + 3941.69i 0.0302357 + 0.403467i 0.991703 + 0.128548i \(0.0410318\pi\)
−0.961468 + 0.274918i \(0.911349\pi\)
\(458\) −1636.47 504.784i −0.166959 0.0515000i
\(459\) 2128.75 11733.9i 0.216474 1.19323i
\(460\) −3538.62 + 2043.02i −0.358671 + 0.207079i
\(461\) −1744.77 7644.33i −0.176273 0.772304i −0.983330 0.181830i \(-0.941798\pi\)
0.807057 0.590474i \(-0.201059\pi\)
\(462\) −66.8121 795.037i −0.00672810 0.0800616i
\(463\) 1412.24 6187.44i 0.141755 0.621068i −0.853272 0.521465i \(-0.825386\pi\)
0.995027 0.0996030i \(-0.0317573\pi\)
\(464\) 4697.20 + 15227.9i 0.469961 + 1.52358i
\(465\) 126.586 3626.80i 0.0126243 0.361697i
\(466\) −64.6292 164.673i −0.00642466 0.0163698i
\(467\) 1219.35 376.119i 0.120824 0.0372692i −0.233754 0.972296i \(-0.575101\pi\)
0.354577 + 0.935027i \(0.384625\pi\)
\(468\) −5546.52 9496.39i −0.547838 0.937972i
\(469\) −1210.62 4402.93i −0.119193 0.433493i
\(470\) −996.500 + 227.445i −0.0977981 + 0.0223218i
\(471\) 1507.25 + 13081.9i 0.147453 + 1.27979i
\(472\) −2198.81 1269.48i −0.214425 0.123798i
\(473\) 2648.42 8585.98i 0.257452 0.834638i
\(474\) 54.7870 157.843i 0.00530897 0.0152952i
\(475\) 17304.0 + 13799.4i 1.67149 + 1.33297i
\(476\) 12045.1 + 3143.33i 1.15984 + 0.302677i
\(477\) 7865.29 + 1145.13i 0.754983 + 0.109920i
\(478\) −37.1911 + 34.5083i −0.00355875 + 0.00330203i
\(479\) −1127.14 + 169.888i −0.107516 + 0.0162054i −0.202580 0.979266i \(-0.564933\pi\)
0.0950639 + 0.995471i \(0.469694\pi\)
\(480\) 5319.31 1020.31i 0.505817 0.0970221i
\(481\) −886.152 + 5879.23i −0.0840022 + 0.557318i
\(482\) 310.784 149.666i 0.0293689 0.0141433i
\(483\) −1565.52 2252.18i −0.147481 0.212169i
\(484\) −4188.22 2016.94i −0.393334 0.189420i
\(485\) 2193.93 3217.91i 0.205405 0.301274i
\(486\) 1082.52 394.113i 0.101037 0.0367846i
\(487\) −1021.87 + 13635.9i −0.0950831 + 1.26880i 0.721845 + 0.692055i \(0.243295\pi\)
−0.816928 + 0.576740i \(0.804325\pi\)
\(488\) 1214.42 3094.29i 0.112652 0.287033i
\(489\) −784.068 + 1809.49i −0.0725088 + 0.167337i
\(490\) 1548.55 1085.67i 0.142768 0.100093i
\(491\) 11454.5i 1.05282i −0.850231 0.526410i \(-0.823538\pi\)
0.850231 0.526410i \(-0.176462\pi\)
\(492\) −13467.7 13400.3i −1.23409 1.22791i
\(493\) 21861.6 + 1638.30i 1.99715 + 0.149666i
\(494\) 1157.79 1247.80i 0.105448 0.113646i
\(495\) 13184.9 2055.08i 1.19720 0.186604i
\(496\) −1032.75 + 2144.54i −0.0934920 + 0.194138i
\(497\) 4913.99 3132.60i 0.443506 0.282729i
\(498\) 711.475 28.4108i 0.0640200 0.00255647i
\(499\) −17602.4 2653.13i −1.57914 0.238017i −0.699844 0.714296i \(-0.746747\pi\)
−0.879294 + 0.476279i \(0.841985\pi\)
\(500\) 9320.67 6354.73i 0.833666 0.568384i
\(501\) −2019.16 + 7612.02i −0.180059 + 0.678802i
\(502\) 850.887 + 917.038i 0.0756513 + 0.0815327i
\(503\) −705.338 884.466i −0.0625238 0.0784024i 0.749586 0.661907i \(-0.230253\pi\)
−0.812110 + 0.583504i \(0.801681\pi\)
\(504\) 653.076 + 2329.35i 0.0577189 + 0.205868i
\(505\) 13277.9 16649.9i 1.17001 1.46715i
\(506\) −235.636 + 17.6585i −0.0207022 + 0.00155141i
\(507\) −1541.97 + 1800.93i −0.135072 + 0.157756i
\(508\) 8260.08 14306.9i 0.721421 1.24954i
\(509\) −10834.9 18766.6i −0.943513 1.63421i −0.758702 0.651438i \(-0.774166\pi\)
−0.184810 0.982774i \(-0.559167\pi\)
\(510\) 446.745 2394.00i 0.0387886 0.207859i
\(511\) 2062.22 4812.12i 0.178527 0.416587i
\(512\) −5794.91 1322.65i −0.500198 0.114167i
\(513\) −9144.61 12197.1i −0.787026 1.04974i
\(514\) −807.854 + 317.059i −0.0693248 + 0.0272080i
\(515\) −11260.3 + 4419.34i −0.963473 + 0.378135i
\(516\) −1482.53 + 13461.6i −0.126482 + 1.14848i
\(517\) 4926.79 + 1124.51i 0.419111 + 0.0956593i
\(518\) 256.091 597.580i 0.0217220 0.0506876i
\(519\) −20930.3 3905.82i −1.77021 0.330340i
\(520\) −2258.96 3912.64i −0.190504 0.329962i
\(521\) 8883.34 15386.4i 0.746999 1.29384i −0.202256 0.979333i \(-0.564827\pi\)
0.949255 0.314507i \(-0.101839\pi\)
\(522\) 928.451 + 1903.43i 0.0778490 + 0.159600i
\(523\) −2743.26 + 205.579i −0.229358 + 0.0171880i −0.188913 0.981994i \(-0.560496\pi\)
−0.0404447 + 0.999182i \(0.512877\pi\)
\(524\) −7745.60 + 9712.68i −0.645741 + 0.809734i
\(525\) 12359.5 + 15214.2i 1.02746 + 1.26476i
\(526\) −623.823 782.249i −0.0517110 0.0648435i
\(527\) 2227.22 + 2400.37i 0.184097 + 0.198410i
\(528\) −8459.77 2244.03i −0.697281 0.184960i
\(529\) 9381.65 6396.30i 0.771074 0.525709i
\(530\) 1604.99 + 241.914i 0.131541 + 0.0198266i
\(531\) 13216.2 + 5110.52i 1.08010 + 0.417661i
\(532\) 13418.4 8554.03i 1.09354 0.697113i
\(533\) −10333.9 + 21458.6i −0.839797 + 1.74386i
\(534\) 878.003 + 1389.58i 0.0711515 + 0.112608i
\(535\) 4891.35 5271.62i 0.395274 0.426004i
\(536\) 1189.49 + 89.1398i 0.0958546 + 0.00718331i
\(537\) 6765.97 6800.04i 0.543712 0.546449i
\(538\) 130.442i 0.0104531i
\(539\) −9226.91 + 1514.20i −0.737349 + 0.121004i
\(540\) −18933.8 + 6785.74i −1.50885 + 0.540762i
\(541\) −5060.73 + 12894.5i −0.402177 + 1.02473i 0.576091 + 0.817386i \(0.304577\pi\)
−0.978268 + 0.207345i \(0.933518\pi\)
\(542\) −11.8573 + 158.225i −0.000939696 + 0.0125394i
\(543\) 2849.80 + 6487.32i 0.225224 + 0.512702i
\(544\) −2753.04 + 4037.96i −0.216977 + 0.318247i
\(545\) 21077.3 + 10150.3i 1.65661 + 0.797782i
\(546\) 1237.87 860.462i 0.0970258 0.0674439i
\(547\) −9067.68 + 4366.77i −0.708786 + 0.341334i −0.753302 0.657675i \(-0.771540\pi\)
0.0445153 + 0.999009i \(0.485826\pi\)
\(548\) −722.780 + 4795.33i −0.0563424 + 0.373808i
\(549\) −4037.21 + 18106.9i −0.313850 + 1.40762i
\(550\) 1669.84 251.688i 0.129458 0.0195127i
\(551\) 20543.2 19061.3i 1.58833 1.47376i
\(552\) 691.606 187.178i 0.0533274 0.0144326i
\(553\) −1894.66 494.438i −0.145695 0.0380210i
\(554\) 693.057 + 552.695i 0.0531502 + 0.0423858i
\(555\) 10272.6 + 3565.60i 0.785670 + 0.272705i
\(556\) −5642.18 + 18291.5i −0.430363 + 1.39520i
\(557\) 21167.4 + 12221.0i 1.61022 + 0.929658i 0.989319 + 0.145765i \(0.0465644\pi\)
0.620896 + 0.783893i \(0.286769\pi\)
\(558\) −91.7187 + 302.735i −0.00695836 + 0.0229673i
\(559\) 16552.2 3777.94i 1.25239 0.285850i
\(560\) −5500.35 20004.3i −0.415057 1.50953i
\(561\) −7125.54 + 9705.68i −0.536258 + 0.730435i
\(562\) −1441.02 + 444.497i −0.108160 + 0.0333629i
\(563\) −3302.37 8414.30i −0.247208 0.629876i 0.752375 0.658735i \(-0.228908\pi\)
−0.999584 + 0.0288583i \(0.990813\pi\)
\(564\) −7612.31 265.692i −0.568326 0.0198362i
\(565\) 5149.18 + 16693.2i 0.383412 + 1.24299i
\(566\) −589.261 + 2581.72i −0.0437606 + 0.191728i
\(567\) −5603.39 12283.6i −0.415027 0.909809i
\(568\) 338.740 + 1484.12i 0.0250233 + 0.109634i
\(569\) 4099.82 2367.03i 0.302062 0.174396i −0.341307 0.939952i \(-0.610869\pi\)
0.643369 + 0.765556i \(0.277536\pi\)
\(570\) −1854.91 2500.15i −0.136304 0.183719i
\(571\) 10214.1 + 3150.65i 0.748597 + 0.230912i 0.645500 0.763760i \(-0.276649\pi\)
0.103096 + 0.994671i \(0.467125\pi\)
\(572\) 829.773 + 11072.5i 0.0606548 + 0.809382i
\(573\) 9658.68 5135.83i 0.704184 0.374437i
\(574\) 1685.87 1985.08i 0.122590 0.144348i
\(575\) 4538.90 3619.65i 0.329191 0.262521i
\(576\) 12842.9 + 897.605i 0.929031 + 0.0649309i
\(577\) −396.208 2628.67i −0.0285864 0.189659i 0.969980 0.243185i \(-0.0781921\pi\)
−0.998566 + 0.0535261i \(0.982954\pi\)
\(578\) 396.153 + 581.050i 0.0285083 + 0.0418140i
\(579\) 11819.8 18916.3i 0.848381 1.35775i
\(580\) −16042.5 33312.7i −1.14850 2.38489i
\(581\) −988.442 8286.09i −0.0705808 0.591678i
\(582\) −256.758 + 222.083i −0.0182869 + 0.0158172i
\(583\) −6630.47 4520.58i −0.471022 0.321138i
\(584\) 1002.52 + 930.200i 0.0710351 + 0.0659109i
\(585\) 15819.7 + 19634.1i 1.11806 + 1.38764i
\(586\) −288.696 113.305i −0.0203514 0.00798735i
\(587\) −20847.9 −1.46590 −0.732951 0.680281i \(-0.761858\pi\)
−0.732951 + 0.680281i \(0.761858\pi\)
\(588\) 13228.4 4861.28i 0.927775 0.340945i
\(589\) 4185.82 0.292824
\(590\) 2693.63 + 1057.17i 0.187958 + 0.0737680i
\(591\) −6561.13 + 12490.1i −0.456665 + 0.869330i
\(592\) −5228.19 4851.05i −0.362968 0.336786i
\(593\) −21722.3 14810.0i −1.50426 1.02559i −0.985308 0.170785i \(-0.945370\pi\)
−0.518952 0.854803i \(-0.673678\pi\)
\(594\) −1156.77 121.519i −0.0799041 0.00839394i
\(595\) −28381.8 3010.35i −1.95553 0.207416i
\(596\) 11151.5 + 23156.3i 0.766414 + 1.59148i
\(597\) 4145.45 + 2590.26i 0.284191 + 0.177575i
\(598\) −251.519 368.911i −0.0171996 0.0252272i
\(599\) −4162.63 27617.2i −0.283940 1.88382i −0.442952 0.896545i \(-0.646069\pi\)
0.159012 0.987277i \(-0.449169\pi\)
\(600\) −4828.79 + 1703.29i −0.328558 + 0.115894i
\(601\) −10898.3 + 8691.11i −0.739686 + 0.589880i −0.919161 0.393883i \(-0.871132\pi\)
0.179475 + 0.983763i \(0.442560\pi\)
\(602\) −1855.61 57.3034i −0.125630 0.00387959i
\(603\) −6635.89 + 530.819i −0.448150 + 0.0358484i
\(604\) −227.410 3034.58i −0.0153198 0.204429i
\(605\) 10184.4 + 3141.48i 0.684389 + 0.211106i
\(606\) −1490.78 + 1106.04i −0.0999321 + 0.0741416i
\(607\) −6202.40 + 3580.96i −0.414741 + 0.239451i −0.692825 0.721106i \(-0.743634\pi\)
0.278084 + 0.960557i \(0.410301\pi\)
\(608\) 1390.16 + 6090.68i 0.0927276 + 0.406266i
\(609\) 21381.5 12603.7i 1.42269 0.838631i
\(610\) −843.007 + 3693.46i −0.0559547 + 0.245154i
\(611\) 2814.57 + 9124.60i 0.186359 + 0.604160i
\(612\) 7791.98 16390.3i 0.514660 1.08258i
\(613\) −2799.55 7133.13i −0.184458 0.469991i 0.808495 0.588504i \(-0.200283\pi\)
−0.992953 + 0.118512i \(0.962187\pi\)
\(614\) 1169.44 360.723i 0.0768641 0.0237094i
\(615\) 35112.0 + 25777.9i 2.30220 + 1.69019i
\(616\) 438.412 2402.84i 0.0286756 0.157164i
\(617\) −255.218 + 58.2520i −0.0166527 + 0.00380087i −0.230839 0.972992i \(-0.574147\pi\)
0.214186 + 0.976793i \(0.431290\pi\)
\(618\) 1047.46 120.685i 0.0681799 0.00785546i
\(619\) −3455.35 1994.94i −0.224365 0.129537i 0.383605 0.923497i \(-0.374683\pi\)
−0.607970 + 0.793960i \(0.708016\pi\)
\(620\) 1627.82 5277.27i 0.105443 0.341839i
\(621\) −3652.89 + 1626.61i −0.236047 + 0.105110i
\(622\) −1988.09 1585.45i −0.128160 0.102204i
\(623\) 15424.5 11540.1i 0.991926 0.742126i
\(624\) −4320.44 15963.7i −0.277173 1.02413i
\(625\) −295.326 + 274.023i −0.0189009 + 0.0175375i
\(626\) −710.669 + 107.116i −0.0453738 + 0.00683901i
\(627\) 2899.43 + 15115.9i 0.184676 + 0.962795i
\(628\) −2986.77 + 19815.9i −0.189785 + 1.25914i
\(629\) −8839.89 + 4257.07i −0.560365 + 0.269857i
\(630\) −1131.67 2514.17i −0.0715662 0.158995i
\(631\) 18903.1 + 9103.27i 1.19259 + 0.574319i 0.921554 0.388251i \(-0.126921\pi\)
0.271033 + 0.962570i \(0.412635\pi\)
\(632\) 288.138 422.621i 0.0181353 0.0265996i
\(633\) −6424.73 + 2822.31i −0.403413 + 0.177214i
\(634\) 33.2422 443.586i 0.00208236 0.0277872i
\(635\) −13837.7 + 35258.0i −0.864778 + 2.20342i
\(636\) 11098.5 + 4809.08i 0.691955 + 0.299831i
\(637\) −11195.2 13668.3i −0.696341 0.850171i
\(638\) 2138.23i 0.132685i
\(639\) −3143.54 7892.82i −0.194611 0.488631i
\(640\) 10937.3 + 819.639i 0.675525 + 0.0506236i
\(641\) −13952.8 + 15037.6i −0.859757 + 0.926598i −0.997962 0.0638058i \(-0.979676\pi\)
0.138205 + 0.990404i \(0.455867\pi\)
\(642\) −529.916 + 334.827i −0.0325765 + 0.0205835i
\(643\) −7340.55 + 15242.8i −0.450207 + 0.934865i 0.545125 + 0.838355i \(0.316482\pi\)
−0.995332 + 0.0965099i \(0.969232\pi\)
\(644\) −1404.29 3930.73i −0.0859269 0.240516i
\(645\) −1238.93 31025.7i −0.0756320 1.89401i
\(646\) 2777.61 + 418.657i 0.169170 + 0.0254982i
\(647\) −24032.6 + 16385.2i −1.46031 + 0.995623i −0.466502 + 0.884520i \(0.654486\pi\)
−0.993809 + 0.111102i \(0.964562\pi\)
\(648\) 3514.13 298.872i 0.213037 0.0181185i
\(649\) −9730.92 10487.4i −0.588555 0.634311i
\(650\) 1989.48 + 2494.73i 0.120052 + 0.150541i
\(651\) 3621.54 + 792.219i 0.218033 + 0.0476951i
\(652\) −1871.14 + 2346.34i −0.112392 + 0.140935i
\(653\) 111.166 8.33075i 0.00666197 0.000499245i −0.0713987 0.997448i \(-0.522746\pi\)
0.0780607 + 0.996949i \(0.475127\pi\)
\(654\) −1548.95 1326.22i −0.0926128 0.0792959i
\(655\) 14241.3 24666.6i 0.849545 1.47146i
\(656\) −14285.0 24742.3i −0.850206 1.47260i
\(657\) −6327.76 4267.80i −0.375753 0.253429i
\(658\) −45.8528 1043.13i −0.00271661 0.0618019i
\(659\) 7616.93 + 1738.51i 0.450248 + 0.102766i 0.441631 0.897197i \(-0.354400\pi\)
0.00861687 + 0.999963i \(0.497257\pi\)
\(660\) 20185.0 + 2222.99i 1.19045 + 0.131105i
\(661\) −20924.1 + 8212.10i −1.23124 + 0.483228i −0.889660 0.456623i \(-0.849059\pi\)
−0.341585 + 0.939851i \(0.610964\pi\)
\(662\) −661.366 + 259.567i −0.0388289 + 0.0152392i
\(663\) −22614.4 2490.54i −1.32469 0.145889i
\(664\) 2125.19 + 485.062i 0.124207 + 0.0283495i
\(665\) −27498.1 + 23978.2i −1.60350 + 1.39825i
\(666\) −785.795 529.985i −0.0457191 0.0308356i
\(667\) −3675.44 6366.05i −0.213364 0.369557i
\(668\) −5992.30 + 10379.0i −0.347079 + 0.601159i
\(669\) −6505.69 5570.22i −0.375971 0.321909i
\(670\) −1355.66 + 101.592i −0.0781696 + 0.00585800i
\(671\) 11678.2 14644.0i 0.671883 0.842514i
\(672\) 50.0155 + 5532.72i 0.00287112 + 0.317603i
\(673\) 13149.3 + 16488.6i 0.753145 + 0.944414i 0.999695 0.0247162i \(-0.00786821\pi\)
−0.246549 + 0.969130i \(0.579297\pi\)
\(674\) 761.332 + 820.521i 0.0435095 + 0.0468921i
\(675\) 25163.8 13542.9i 1.43489 0.772249i
\(676\) −2981.07 + 2032.46i −0.169610 + 0.115638i
\(677\) 23396.3 + 3526.43i 1.32820 + 0.200195i 0.774529 0.632538i \(-0.217987\pi\)
0.553675 + 0.832733i \(0.313225\pi\)
\(678\) −60.7573 1521.51i −0.00344155 0.0861846i
\(679\) 2831.56 + 2794.82i 0.160037 + 0.157961i
\(680\) 3234.82 6717.18i 0.182426 0.378812i
\(681\) 19901.9 12575.0i 1.11988 0.707599i
\(682\) 217.230 234.118i 0.0121967 0.0131449i
\(683\) 3940.78 + 295.320i 0.220775 + 0.0165448i 0.184658 0.982803i \(-0.440882\pi\)
0.0361169 + 0.999348i \(0.488501\pi\)
\(684\) −8583.90 21552.5i −0.479845 1.20480i
\(685\) 11118.6i 0.620174i
\(686\) 807.100 + 1755.28i 0.0449201 + 0.0976921i
\(687\) 26847.8 + 11633.4i 1.49099 + 0.646059i
\(688\) −7440.48 + 18958.0i −0.412305 + 1.05054i
\(689\) 1133.16 15121.0i 0.0626562 0.836088i
\(690\) −747.624 + 328.422i −0.0412486 + 0.0181200i
\(691\) 10913.7 16007.4i 0.600833 0.881259i −0.398523 0.917158i \(-0.630477\pi\)
0.999355 + 0.0358989i \(0.0114294\pi\)
\(692\) −29192.9 14058.6i −1.60368 0.772292i
\(693\) −352.322 + 13626.9i −0.0193126 + 0.746962i
\(694\) −1208.72 + 582.088i −0.0661128 + 0.0318383i
\(695\) 6541.05 43397.1i 0.357002 2.36855i
\(696\) 1221.34 + 6367.37i 0.0665155 + 0.346774i
\(697\) −38864.4 + 5857.87i −2.11204 + 0.318339i
\(698\) −779.576 + 723.341i −0.0422742 + 0.0392247i
\(699\) 789.596 + 2917.49i 0.0427257 + 0.157868i
\(700\) 12107.0 + 27262.6i 0.653717 + 1.47204i
\(701\) −13162.4 10496.6i −0.709180 0.565552i 0.201087 0.979573i \(-0.435553\pi\)
−0.910267 + 0.414021i \(0.864124\pi\)
\(702\) −894.037 2007.75i −0.0480673 0.107945i
\(703\) −3696.88 + 11985.0i −0.198336 + 0.642990i
\(704\) −11257.0 6499.22i −0.602647 0.347938i
\(705\) 17348.8 1998.87i 0.926799 0.106783i
\(706\) 1472.87 336.174i 0.0785160 0.0179208i
\(707\) 14297.7 + 16396.5i 0.760566 + 0.872211i
\(708\) 17382.2 + 12761.4i 0.922689 + 0.677403i
\(709\) −19887.8 + 6134.58i −1.05346 + 0.324949i −0.772662 0.634818i \(-0.781075\pi\)
−0.280797 + 0.959767i \(0.590599\pi\)
\(710\) −633.846 1615.01i −0.0335040 0.0853668i
\(711\) −1225.66 + 2578.15i −0.0646494 + 0.135989i
\(712\) 1483.23 + 4808.52i 0.0780709 + 0.253100i
\(713\) 244.318 1070.43i 0.0128328 0.0562242i
\(714\) 2323.93 + 887.917i 0.121808 + 0.0465399i
\(715\) −5664.83 24819.2i −0.296297 1.29816i
\(716\) 12642.3 7299.05i 0.659868 0.380975i
\(717\) 696.153 516.489i 0.0362598 0.0269019i
\(718\) 918.661 + 283.369i 0.0477495 + 0.0147288i
\(719\) 1320.43 + 17620.0i 0.0684894 + 0.913928i 0.920585 + 0.390542i \(0.127712\pi\)
−0.852096 + 0.523386i \(0.824669\pi\)
\(720\) −30149.5 + 2411.72i −1.56056 + 0.124833i
\(721\) −2376.53 12126.4i −0.122756 0.626365i
\(722\) 1176.46 938.200i 0.0606420 0.0483603i
\(723\) −5557.92 + 1960.48i −0.285894 + 0.100845i
\(724\) 1607.12 + 10662.5i 0.0824973 + 0.547334i
\(725\) 29593.0 + 43405.0i 1.51594 + 2.22348i
\(726\) −787.845 492.281i −0.0402750 0.0251656i
\(727\) −15202.2 31567.6i −0.775540 1.61043i −0.791970 0.610560i \(-0.790944\pi\)
0.0164300 0.999865i \(-0.494770\pi\)
\(728\) 4346.20 1552.72i 0.221265 0.0790491i
\(729\) −19121.3 + 4668.50i −0.971465 + 0.237184i
\(730\) −1287.81 878.016i −0.0652933 0.0445162i
\(731\) 20538.0 + 19056.5i 1.03916 + 0.964197i
\(732\) −13129.0 + 24993.1i −0.662928 + 1.26198i
\(733\) −25225.1 9900.11i −1.27109 0.498866i −0.368604 0.929586i \(-0.620164\pi\)
−0.902485 + 0.430720i \(0.858260\pi\)
\(734\) 1936.27 0.0973694
\(735\) −28329.3 + 15541.4i −1.42169 + 0.779938i
\(736\) 1638.70 0.0820695
\(737\) 6256.68 + 2455.57i 0.312711 + 0.122730i
\(738\) −2382.14 2956.53i −0.118818 0.147468i
\(739\) 2313.66 + 2146.77i 0.115168 + 0.106861i 0.735655 0.677356i \(-0.236874\pi\)
−0.620487 + 0.784217i \(0.713065\pi\)
\(740\) 13672.4 + 9321.68i 0.679199 + 0.463070i
\(741\) −21996.4 + 19025.8i −1.09050 + 0.943224i
\(742\) −537.401 + 1568.58i −0.0265884 + 0.0776070i
\(743\) −5049.09 10484.5i −0.249304 0.517686i 0.738334 0.674435i \(-0.235613\pi\)
−0.987638 + 0.156749i \(0.949899\pi\)
\(744\) −513.155 + 821.253i −0.0252865 + 0.0404685i
\(745\) −33194.6 48687.5i −1.63242 2.39433i
\(746\) 242.181 + 1606.76i 0.0118859 + 0.0788577i
\(747\) −12136.0 848.198i −0.594423 0.0415448i
\(748\) −14325.7 + 11424.3i −0.700266 + 0.558443i
\(749\) 4400.83 + 5882.15i 0.214690 + 0.286955i
\(750\) 1990.53 1058.43i 0.0969117 0.0515311i
\(751\) −114.508 1528.00i −0.00556384 0.0742443i 0.993731 0.111800i \(-0.0356617\pi\)
−0.999295 + 0.0375562i \(0.988043\pi\)
\(752\) −10945.4 3376.21i −0.530769 0.163721i
\(753\) −12735.3 17165.4i −0.616336 0.830731i
\(754\) 3499.00 2020.15i 0.169000 0.0975721i
\(755\) 1552.52 + 6802.04i 0.0748371 + 0.327883i
\(756\) −3347.64 20271.7i −0.161048 0.975230i
\(757\) −2359.27 + 10336.6i −0.113275 + 0.496290i 0.886182 + 0.463337i \(0.153348\pi\)
−0.999457 + 0.0329527i \(0.989509\pi\)
\(758\) 67.8513 + 219.969i 0.00325128 + 0.0105404i
\(759\) 4034.79 + 140.826i 0.192956 + 0.00673474i
\(760\) −3481.87 8871.65i −0.166185 0.423433i
\(761\) −12590.1 + 3883.53i −0.599724 + 0.184990i −0.579729 0.814810i \(-0.696841\pi\)
−0.0199956 + 0.999800i \(0.506365\pi\)
\(762\) 1953.81 2661.29i 0.0928861 0.126520i
\(763\) −14065.2 + 19320.5i −0.667360 + 0.916707i
\(764\) 16230.0 3704.38i 0.768559 0.175419i
\(765\) −12064.6 + 39821.4i −0.570190 + 1.88202i
\(766\) −216.551 125.026i −0.0102145 0.00589735i
\(767\) 7968.09 25831.9i 0.375112 1.21608i
\(768\) 17822.1 + 6186.04i 0.837370 + 0.290650i
\(769\) −19452.5 15512.9i −0.912193 0.727450i 0.0503062 0.998734i \(-0.483980\pi\)
−0.962499 + 0.271284i \(0.912552\pi\)
\(770\) −85.9236 + 2782.39i −0.00402139 + 0.130221i
\(771\) 14312.7 3873.62i 0.668558 0.180940i