Properties

Label 43.4.g.a.24.9
Level 43
Weight 4
Character 43.24
Analytic conductor 2.537
Analytic rank 0
Dimension 120
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.53708213025\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 24.9
Character \(\chi\) \(=\) 43.24
Dual form 43.4.g.a.9.9

$q$-expansion

\(f(q)\) \(=\) \(q+(3.02609 - 3.79460i) q^{2} +(5.24807 - 0.791020i) q^{3} +(-3.46159 - 15.1662i) q^{4} +(-13.3495 + 9.10152i) q^{5} +(12.8796 - 22.3080i) q^{6} +(13.9767 + 24.2083i) q^{7} +(-33.0423 - 15.9123i) q^{8} +(1.11608 - 0.344266i) q^{9} +O(q^{10})\) \(q+(3.02609 - 3.79460i) q^{2} +(5.24807 - 0.791020i) q^{3} +(-3.46159 - 15.1662i) q^{4} +(-13.3495 + 9.10152i) q^{5} +(12.8796 - 22.3080i) q^{6} +(13.9767 + 24.2083i) q^{7} +(-33.0423 - 15.9123i) q^{8} +(1.11608 - 0.344266i) q^{9} +(-5.86013 + 78.1980i) q^{10} +(2.97735 - 13.0446i) q^{11} +(-30.1635 - 76.8553i) q^{12} +(-3.89282 - 51.9461i) q^{13} +(134.156 + 20.2207i) q^{14} +(-62.8595 + 58.3251i) q^{15} +(-48.2443 + 23.2332i) q^{16} +(-75.1740 - 51.2528i) q^{17} +(2.07102 - 5.27687i) q^{18} +(10.0414 + 3.09738i) q^{19} +(184.246 + 170.955i) q^{20} +(92.5000 + 115.991i) q^{21} +(-40.4895 - 50.7722i) q^{22} +(143.183 + 132.855i) q^{23} +(-185.995 - 57.3719i) q^{24} +(49.7032 - 126.642i) q^{25} +(-208.895 - 142.422i) q^{26} +(-123.523 + 59.4853i) q^{27} +(318.768 - 295.773i) q^{28} +(-166.525 - 25.0996i) q^{29} +(31.1018 + 415.024i) q^{30} +(44.7032 + 113.902i) q^{31} +(7.45518 - 32.6633i) q^{32} +(5.30680 - 70.8144i) q^{33} +(-421.968 + 130.160i) q^{34} +(-406.914 - 195.960i) q^{35} +(-9.08463 - 15.7350i) q^{36} +(132.822 - 230.054i) q^{37} +(42.1397 - 28.7303i) q^{38} +(-61.5202 - 269.538i) q^{39} +(585.923 - 88.3137i) q^{40} +(-155.976 + 195.588i) q^{41} +720.054 q^{42} +(281.929 - 4.77810i) q^{43} -208.144 q^{44} +(-11.7658 + 14.7538i) q^{45} +(937.418 - 141.293i) q^{46} +(-40.0092 - 175.292i) q^{47} +(-234.812 + 160.092i) q^{48} +(-219.196 + 379.658i) q^{49} +(-330.148 - 571.834i) q^{50} +(-435.061 - 209.514i) q^{51} +(-774.352 + 238.856i) q^{52} +(-4.75591 + 63.4632i) q^{53} +(-148.068 + 648.727i) q^{54} +(78.9799 + 201.238i) q^{55} +(-76.6108 - 1022.30i) q^{56} +(55.1483 + 8.31227i) q^{57} +(-599.164 + 555.943i) q^{58} +(26.9102 - 12.9593i) q^{59} +(1102.17 + 751.444i) q^{60} +(78.6090 - 200.292i) q^{61} +(567.488 + 175.047i) q^{62} +(23.9332 + 22.2068i) q^{63} +(-368.473 - 462.050i) q^{64} +(524.756 + 658.023i) q^{65} +(-252.653 - 234.428i) q^{66} +(15.5112 + 4.78457i) q^{67} +(-517.090 + 1317.52i) q^{68} +(856.528 + 583.971i) q^{69} +(-1974.95 + 951.085i) q^{70} +(591.169 - 548.524i) q^{71} +(-42.3559 - 6.38413i) q^{72} +(2.26456 + 30.2185i) q^{73} +(-471.032 - 1200.17i) q^{74} +(160.670 - 703.941i) q^{75} +(12.2161 - 163.013i) q^{76} +(357.403 - 110.244i) q^{77} +(-1208.95 - 582.202i) q^{78} +(189.527 + 328.270i) q^{79} +(432.578 - 749.248i) q^{80} +(-627.257 + 427.656i) q^{81} +(270.179 + 1183.73i) q^{82} +(600.347 - 90.4878i) q^{83} +(1438.95 - 1804.39i) q^{84} +1470.01 q^{85} +(835.014 - 1084.27i) q^{86} -893.790 q^{87} +(-305.949 + 383.648i) q^{88} +(-1299.51 + 195.869i) q^{89} +(20.3805 + 89.2928i) q^{90} +(1203.12 - 820.274i) q^{91} +(1519.26 - 2631.44i) q^{92} +(324.704 + 562.404i) q^{93} +(-786.235 - 378.631i) q^{94} +(-162.239 + 50.0441i) q^{95} +(13.2880 - 177.316i) q^{96} +(-51.1516 + 224.110i) q^{97} +(777.345 + 1980.64i) q^{98} +(-1.16785 - 15.5839i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} + O(q^{10}) \) \( 120q - 12q^{2} - 9q^{3} - 92q^{4} + 5q^{5} - 22q^{6} - 54q^{7} + 2q^{8} + 201q^{9} - 41q^{10} - 68q^{11} + 114q^{12} - 167q^{13} + 254q^{14} - 163q^{15} - 344q^{16} + 68q^{17} - 72q^{18} - 407q^{19} + 621q^{20} + 193q^{21} - 520q^{22} - 219q^{23} + 1072q^{24} - 87q^{25} - 133q^{26} + 180q^{27} + 1228q^{28} - 17q^{29} - 1796q^{30} - 953q^{31} - 2730q^{32} + 473q^{33} - 1043q^{34} - 241q^{35} - 175q^{36} - 228q^{37} + 1512q^{38} + 1250q^{39} + 2673q^{40} - 236q^{41} + 5286q^{42} + 1789q^{43} - 2756q^{44} + 856q^{45} + 4331q^{46} + 962q^{47} + 5243q^{48} - 1264q^{49} - 3273q^{50} - 4803q^{51} - 3538q^{52} - 1375q^{53} - 2646q^{54} - 1460q^{55} - 3305q^{56} - 719q^{57} + 142q^{58} + 1202q^{59} + 4043q^{60} + 837q^{61} - 3959q^{62} + 3279q^{63} + 5718q^{64} + 54q^{65} - 3457q^{66} + 1384q^{67} - 747q^{68} - 4715q^{69} - 2553q^{70} - 1619q^{71} - 20137q^{72} - 3630q^{73} - 5006q^{74} - 1186q^{75} + 1092q^{76} + 3515q^{77} + 2980q^{78} + 4422q^{79} - 1610q^{80} - 4089q^{81} + 5292q^{82} + 10398q^{83} + 17399q^{84} + 8666q^{85} + 1858q^{86} + 2754q^{87} + 7290q^{88} + 11478q^{89} + 29113q^{90} + 11920q^{91} + 3286q^{92} - 4q^{93} - 14736q^{94} - 1741q^{95} - 6200q^{96} + 2236q^{97} - 5254q^{98} - 7417q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.02609 3.79460i 1.06989 1.34159i 0.133332 0.991071i \(-0.457432\pi\)
0.936554 0.350523i \(-0.113996\pi\)
\(3\) 5.24807 0.791020i 1.00999 0.152232i 0.376856 0.926272i \(-0.377005\pi\)
0.633136 + 0.774040i \(0.281767\pi\)
\(4\) −3.46159 15.1662i −0.432699 1.89578i
\(5\) −13.3495 + 9.10152i −1.19401 + 0.814064i −0.986435 0.164154i \(-0.947511\pi\)
−0.207578 + 0.978218i \(0.566558\pi\)
\(6\) 12.8796 22.3080i 0.876343 1.51787i
\(7\) 13.9767 + 24.2083i 0.754670 + 1.30713i 0.945538 + 0.325512i \(0.105537\pi\)
−0.190868 + 0.981616i \(0.561130\pi\)
\(8\) −33.0423 15.9123i −1.46028 0.703232i
\(9\) 1.11608 0.344266i 0.0413364 0.0127506i
\(10\) −5.86013 + 78.1980i −0.185314 + 2.47284i
\(11\) 2.97735 13.0446i 0.0816096 0.357555i −0.917591 0.397525i \(-0.869869\pi\)
0.999201 + 0.0399700i \(0.0127262\pi\)
\(12\) −30.1635 76.8553i −0.725621 1.84885i
\(13\) −3.89282 51.9461i −0.0830519 1.10825i −0.870598 0.491995i \(-0.836268\pi\)
0.787546 0.616256i \(-0.211351\pi\)
\(14\) 134.156 + 20.2207i 2.56105 + 0.386016i
\(15\) −62.8595 + 58.3251i −1.08202 + 1.00397i
\(16\) −48.2443 + 23.2332i −0.753817 + 0.363019i
\(17\) −75.1740 51.2528i −1.07249 0.731213i −0.107689 0.994185i \(-0.534345\pi\)
−0.964804 + 0.262971i \(0.915298\pi\)
\(18\) 2.07102 5.27687i 0.0271191 0.0690983i
\(19\) 10.0414 + 3.09738i 0.121246 + 0.0373993i 0.354784 0.934948i \(-0.384554\pi\)
−0.233539 + 0.972348i \(0.575031\pi\)
\(20\) 184.246 + 170.955i 2.05993 + 1.91134i
\(21\) 92.5000 + 115.991i 0.961197 + 1.20530i
\(22\) −40.4895 50.7722i −0.392381 0.492030i
\(23\) 143.183 + 132.855i 1.29808 + 1.20444i 0.965212 + 0.261467i \(0.0842064\pi\)
0.332867 + 0.942974i \(0.391984\pi\)
\(24\) −185.995 57.3719i −1.58192 0.487958i
\(25\) 49.7032 126.642i 0.397626 1.01313i
\(26\) −208.895 142.422i −1.57568 1.07428i
\(27\) −123.523 + 59.4853i −0.880441 + 0.423998i
\(28\) 318.768 295.773i 2.15148 1.99628i
\(29\) −166.525 25.0996i −1.06631 0.160720i −0.407632 0.913146i \(-0.633645\pi\)
−0.658676 + 0.752426i \(0.728883\pi\)
\(30\) 31.1018 + 415.024i 0.189279 + 2.52576i
\(31\) 44.7032 + 113.902i 0.258998 + 0.659915i 0.999932 0.0116623i \(-0.00371232\pi\)
−0.740934 + 0.671577i \(0.765617\pi\)
\(32\) 7.45518 32.6633i 0.0411844 0.180441i
\(33\) 5.30680 70.8144i 0.0279938 0.373551i
\(34\) −421.968 + 130.160i −2.12844 + 0.656536i
\(35\) −406.914 195.960i −1.96517 0.946377i
\(36\) −9.08463 15.7350i −0.0420585 0.0728474i
\(37\) 132.822 230.054i 0.590155 1.02218i −0.404056 0.914734i \(-0.632400\pi\)
0.994211 0.107444i \(-0.0342667\pi\)
\(38\) 42.1397 28.7303i 0.179894 0.122649i
\(39\) −61.5202 269.538i −0.252593 1.10668i
\(40\) 585.923 88.3137i 2.31606 0.349091i
\(41\) −155.976 + 195.588i −0.594131 + 0.745016i −0.984450 0.175663i \(-0.943793\pi\)
0.390320 + 0.920679i \(0.372364\pi\)
\(42\) 720.054 2.64540
\(43\) 281.929 4.77810i 0.999856 0.0169454i
\(44\) −208.144 −0.713158
\(45\) −11.7658 + 14.7538i −0.0389764 + 0.0488748i
\(46\) 937.418 141.293i 3.00467 0.452881i
\(47\) −40.0092 175.292i −0.124169 0.544020i −0.998298 0.0583256i \(-0.981424\pi\)
0.874129 0.485695i \(-0.161433\pi\)
\(48\) −234.812 + 160.092i −0.706086 + 0.481402i
\(49\) −219.196 + 379.658i −0.639055 + 1.10688i
\(50\) −330.148 571.834i −0.933801 1.61739i
\(51\) −435.061 209.514i −1.19452 0.575252i
\(52\) −774.352 + 238.856i −2.06506 + 0.636987i
\(53\) −4.75591 + 63.4632i −0.0123259 + 0.164478i 0.987644 + 0.156715i \(0.0500903\pi\)
−0.999970 + 0.00776357i \(0.997529\pi\)
\(54\) −148.068 + 648.727i −0.373138 + 1.63483i
\(55\) 78.9799 + 201.238i 0.193630 + 0.493361i
\(56\) −76.6108 1022.30i −0.182813 2.43947i
\(57\) 55.1483 + 8.31227i 0.128150 + 0.0193156i
\(58\) −599.164 + 555.943i −1.35645 + 1.25860i
\(59\) 26.9102 12.9593i 0.0593798 0.0285958i −0.403958 0.914777i \(-0.632366\pi\)
0.463338 + 0.886182i \(0.346652\pi\)
\(60\) 1102.17 + 751.444i 2.37148 + 1.61685i
\(61\) 78.6090 200.292i 0.164998 0.420407i −0.824331 0.566108i \(-0.808449\pi\)
0.989329 + 0.145701i \(0.0465438\pi\)
\(62\) 567.488 + 175.047i 1.16244 + 0.358564i
\(63\) 23.9332 + 22.2068i 0.0478620 + 0.0444094i
\(64\) −368.473 462.050i −0.719673 0.902442i
\(65\) 524.756 + 658.023i 1.00135 + 1.25566i
\(66\) −252.653 234.428i −0.471204 0.437214i
\(67\) 15.5112 + 4.78457i 0.0282835 + 0.00872430i 0.308865 0.951106i \(-0.400051\pi\)
−0.280581 + 0.959830i \(0.590527\pi\)
\(68\) −517.090 + 1317.52i −0.922152 + 2.34961i
\(69\) 856.528 + 583.971i 1.49440 + 1.01887i
\(70\) −1974.95 + 951.085i −3.37217 + 1.62395i
\(71\) 591.169 548.524i 0.988152 0.916871i −0.00838935 0.999965i \(-0.502670\pi\)
0.996542 + 0.0830934i \(0.0264800\pi\)
\(72\) −42.3559 6.38413i −0.0693291 0.0104497i
\(73\) 2.26456 + 30.2185i 0.00363078 + 0.0484494i 0.998725 0.0504833i \(-0.0160762\pi\)
−0.995094 + 0.0989327i \(0.968457\pi\)
\(74\) −471.032 1200.17i −0.739951 1.88536i
\(75\) 160.670 703.941i 0.247368 1.08379i
\(76\) 12.2161 163.013i 0.0184380 0.246037i
\(77\) 357.403 110.244i 0.528959 0.163162i
\(78\) −1208.95 582.202i −1.75496 0.845146i
\(79\) 189.527 + 328.270i 0.269917 + 0.467509i 0.968840 0.247687i \(-0.0796705\pi\)
−0.698923 + 0.715197i \(0.746337\pi\)
\(80\) 432.578 749.248i 0.604547 1.04711i
\(81\) −627.257 + 427.656i −0.860434 + 0.586634i
\(82\) 270.179 + 1183.73i 0.363858 + 1.59416i
\(83\) 600.347 90.4878i 0.793936 0.119667i 0.260463 0.965484i \(-0.416125\pi\)
0.533473 + 0.845817i \(0.320887\pi\)
\(84\) 1438.95 1804.39i 1.86908 2.34375i
\(85\) 1470.01 1.87583
\(86\) 835.014 1084.27i 1.04700 1.35953i
\(87\) −893.790 −1.10143
\(88\) −305.949 + 383.648i −0.370617 + 0.464739i
\(89\) −1299.51 + 195.869i −1.54772 + 0.233282i −0.866643 0.498928i \(-0.833727\pi\)
−0.681079 + 0.732210i \(0.738489\pi\)
\(90\) 20.3805 + 89.2928i 0.0238699 + 0.104581i
\(91\) 1203.12 820.274i 1.38595 0.944924i
\(92\) 1519.26 2631.44i 1.72168 2.98203i
\(93\) 324.704 + 562.404i 0.362045 + 0.627081i
\(94\) −786.235 378.631i −0.862701 0.415455i
\(95\) −162.239 + 50.0441i −0.175214 + 0.0540464i
\(96\) 13.2880 177.316i 0.0141271 0.188513i
\(97\) −51.1516 + 224.110i −0.0535429 + 0.234587i −0.994618 0.103611i \(-0.966960\pi\)
0.941075 + 0.338198i \(0.109817\pi\)
\(98\) 777.345 + 1980.64i 0.801262 + 2.04158i
\(99\) −1.16785 15.5839i −0.00118559 0.0158206i
\(100\) −2092.73 315.428i −2.09273 0.315428i
\(101\) −742.732 + 689.155i −0.731729 + 0.678945i −0.955265 0.295750i \(-0.904430\pi\)
0.223536 + 0.974696i \(0.428240\pi\)
\(102\) −2111.56 + 1016.87i −2.04976 + 0.987112i
\(103\) 549.148 + 374.403i 0.525332 + 0.358165i 0.796762 0.604293i \(-0.206544\pi\)
−0.271430 + 0.962458i \(0.587497\pi\)
\(104\) −697.955 + 1778.36i −0.658078 + 1.67676i
\(105\) −2290.52 706.533i −2.12888 0.656672i
\(106\) 226.426 + 210.093i 0.207476 + 0.192509i
\(107\) −489.566 613.896i −0.442319 0.554650i 0.509834 0.860273i \(-0.329707\pi\)
−0.952153 + 0.305623i \(0.901135\pi\)
\(108\) 1329.75 + 1667.46i 1.18477 + 1.48566i
\(109\) 1130.35 + 1048.81i 0.993286 + 0.921635i 0.996925 0.0783587i \(-0.0249679\pi\)
−0.00363925 + 0.999993i \(0.501158\pi\)
\(110\) 1002.62 + 309.266i 0.869053 + 0.268067i
\(111\) 515.080 1312.40i 0.440444 1.12223i
\(112\) −1236.73 843.191i −1.04340 0.711375i
\(113\) 1029.49 495.775i 0.857045 0.412731i 0.0468570 0.998902i \(-0.485080\pi\)
0.810188 + 0.586171i \(0.199365\pi\)
\(114\) 198.426 184.112i 0.163020 0.151260i
\(115\) −3120.60 470.355i −2.53042 0.381399i
\(116\) 195.776 + 2612.44i 0.156701 + 2.09103i
\(117\) −22.2280 56.6360i −0.0175639 0.0447521i
\(118\) 32.2575 141.330i 0.0251657 0.110258i
\(119\) 190.061 2536.18i 0.146410 1.95371i
\(120\) 3005.11 926.953i 2.28606 0.705157i
\(121\) 1037.89 + 499.822i 0.779783 + 0.375524i
\(122\) −522.152 904.394i −0.387487 0.671147i
\(123\) −663.859 + 1149.84i −0.486652 + 0.842906i
\(124\) 1572.72 1072.26i 1.13899 0.776547i
\(125\) 39.7134 + 173.996i 0.0284166 + 0.124501i
\(126\) 156.690 23.6172i 0.110786 0.0166983i
\(127\) −1510.66 + 1894.31i −1.05551 + 1.32357i −0.111457 + 0.993769i \(0.535552\pi\)
−0.944052 + 0.329797i \(0.893020\pi\)
\(128\) −2600.30 −1.79560
\(129\) 1475.81 248.087i 1.00727 0.169325i
\(130\) 4084.90 2.75592
\(131\) −1118.96 + 1403.14i −0.746293 + 0.935822i −0.999501 0.0315903i \(-0.989943\pi\)
0.253208 + 0.967412i \(0.418514\pi\)
\(132\) −1092.36 + 164.646i −0.720284 + 0.108565i
\(133\) 65.3639 + 286.378i 0.0426148 + 0.186708i
\(134\) 65.0939 44.3803i 0.0419646 0.0286110i
\(135\) 1107.55 1918.34i 0.706097 1.22300i
\(136\) 1668.37 + 2889.70i 1.05192 + 1.82198i
\(137\) −1955.64 941.786i −1.21957 0.587315i −0.290381 0.956911i \(-0.593782\pi\)
−0.929193 + 0.369596i \(0.879496\pi\)
\(138\) 4807.87 1483.03i 2.96575 0.914812i
\(139\) −18.3522 + 244.894i −0.0111987 + 0.149436i 0.988801 + 0.149238i \(0.0476821\pi\)
−1.00000 0.000197963i \(0.999937\pi\)
\(140\) −1563.40 + 6849.69i −0.943793 + 4.13503i
\(141\) −348.631 888.296i −0.208227 0.530554i
\(142\) −292.500 3903.14i −0.172859 2.30665i
\(143\) −689.209 103.882i −0.403039 0.0607483i
\(144\) −45.8462 + 42.5390i −0.0265314 + 0.0246175i
\(145\) 2451.47 1180.56i 1.40402 0.676142i
\(146\) 121.520 + 82.8509i 0.0688840 + 0.0469643i
\(147\) −850.038 + 2165.86i −0.476939 + 1.21522i
\(148\) −3948.82 1218.05i −2.19318 0.676508i
\(149\) −837.602 777.181i −0.460531 0.427310i 0.415480 0.909602i \(-0.363614\pi\)
−0.876010 + 0.482293i \(0.839804\pi\)
\(150\) −2184.97 2739.87i −1.18935 1.49140i
\(151\) −868.887 1089.55i −0.468272 0.587194i 0.490475 0.871455i \(-0.336823\pi\)
−0.958747 + 0.284261i \(0.908252\pi\)
\(152\) −282.506 262.127i −0.150752 0.139877i
\(153\) −101.545 31.3225i −0.0536563 0.0165508i
\(154\) 663.202 1689.81i 0.347028 0.884213i
\(155\) −1633.44 1113.66i −0.846460 0.577107i
\(156\) −3874.91 + 1866.06i −1.98873 + 0.957720i
\(157\) −107.839 + 100.060i −0.0548182 + 0.0508639i −0.707106 0.707107i \(-0.750000\pi\)
0.652288 + 0.757971i \(0.273809\pi\)
\(158\) 1819.18 + 274.197i 0.915988 + 0.138063i
\(159\) 25.2413 + 336.822i 0.0125897 + 0.167998i
\(160\) 197.763 + 503.891i 0.0977156 + 0.248975i
\(161\) −1214.96 + 5323.11i −0.594737 + 2.60571i
\(162\) −275.352 + 3674.32i −0.133541 + 1.78199i
\(163\) 154.367 47.6158i 0.0741775 0.0228807i −0.257444 0.966293i \(-0.582880\pi\)
0.331622 + 0.943412i \(0.392404\pi\)
\(164\) 3506.25 + 1688.52i 1.66947 + 0.803972i
\(165\) 573.675 + 993.634i 0.270670 + 0.468814i
\(166\) 1473.34 2551.90i 0.688877 1.19317i
\(167\) 1570.87 1071.00i 0.727891 0.496268i −0.141781 0.989898i \(-0.545283\pi\)
0.869672 + 0.493630i \(0.164330\pi\)
\(168\) −1210.72 5304.50i −0.556006 2.43602i
\(169\) −510.784 + 76.9883i −0.232492 + 0.0350425i
\(170\) 4448.40 5578.11i 2.00692 2.51660i
\(171\) 12.2734 0.00548871
\(172\) −1048.39 4259.27i −0.464762 1.88817i
\(173\) 67.1165 0.0294958 0.0147479 0.999891i \(-0.495305\pi\)
0.0147479 + 0.999891i \(0.495305\pi\)
\(174\) −2704.69 + 3391.58i −1.17840 + 1.47767i
\(175\) 3760.47 566.800i 1.62437 0.244835i
\(176\) 159.429 + 698.503i 0.0682807 + 0.299157i
\(177\) 130.976 89.2977i 0.0556200 0.0379210i
\(178\) −3189.18 + 5523.82i −1.34292 + 2.32600i
\(179\) 807.805 + 1399.16i 0.337308 + 0.584235i 0.983925 0.178579i \(-0.0571502\pi\)
−0.646617 + 0.762815i \(0.723817\pi\)
\(180\) 264.488 + 127.371i 0.109521 + 0.0527425i
\(181\) 1837.19 566.697i 0.754459 0.232720i 0.106414 0.994322i \(-0.466063\pi\)
0.648045 + 0.761602i \(0.275587\pi\)
\(182\) 528.144 7047.59i 0.215102 2.87034i
\(183\) 254.110 1113.33i 0.102647 0.449725i
\(184\) −2617.08 6668.21i −1.04855 2.67167i
\(185\) 320.740 + 4279.97i 0.127466 + 1.70092i
\(186\) 3116.68 + 469.764i 1.22864 + 0.185187i
\(187\) −892.394 + 828.021i −0.348975 + 0.323801i
\(188\) −2520.02 + 1213.58i −0.977614 + 0.470794i
\(189\) −3166.48 2158.87i −1.21866 0.830870i
\(190\) −301.053 + 767.070i −0.114951 + 0.292890i
\(191\) 2980.57 + 919.383i 1.12914 + 0.348294i 0.802381 0.596812i \(-0.203566\pi\)
0.326762 + 0.945107i \(0.394042\pi\)
\(192\) −2299.26 2133.40i −0.864245 0.801902i
\(193\) −1155.80 1449.33i −0.431069 0.540544i 0.518096 0.855323i \(-0.326641\pi\)
−0.949165 + 0.314779i \(0.898070\pi\)
\(194\) 695.618 + 872.277i 0.257435 + 0.322814i
\(195\) 3274.46 + 3038.26i 1.20251 + 1.11577i
\(196\) 6516.75 + 2010.15i 2.37491 + 0.732563i
\(197\) 69.2611 176.474i 0.0250490 0.0638238i −0.917802 0.397038i \(-0.870038\pi\)
0.942851 + 0.333214i \(0.108133\pi\)
\(198\) −62.6687 42.7268i −0.0224933 0.0153357i
\(199\) −51.8701 + 24.9793i −0.0184773 + 0.00889818i −0.443100 0.896472i \(-0.646121\pi\)
0.424622 + 0.905371i \(0.360407\pi\)
\(200\) −3657.47 + 3393.64i −1.29311 + 1.19983i
\(201\) 85.1885 + 12.8401i 0.0298942 + 0.00450583i
\(202\) 367.491 + 4903.82i 0.128003 + 1.70808i
\(203\) −1719.85 4382.11i −0.594629 1.51509i
\(204\) −1671.54 + 7323.48i −0.573682 + 2.51346i
\(205\) 302.053 4030.61i 0.102909 1.37322i
\(206\) 3082.49 950.821i 1.04256 0.321587i
\(207\) 205.542 + 98.9837i 0.0690152 + 0.0332360i
\(208\) 1394.68 + 2415.66i 0.464922 + 0.805269i
\(209\) 70.3011 121.765i 0.0232671 0.0402998i
\(210\) −9612.35 + 6553.59i −3.15864 + 2.15353i
\(211\) −160.118 701.522i −0.0522416 0.228885i 0.942067 0.335425i \(-0.108880\pi\)
−0.994308 + 0.106540i \(0.966023\pi\)
\(212\) 978.961 147.555i 0.317148 0.0478023i
\(213\) 2668.60 3346.32i 0.858449 1.07646i
\(214\) −3810.96 −1.21735
\(215\) −3720.12 + 2629.77i −1.18005 + 0.834181i
\(216\) 5028.01 1.58386
\(217\) −2132.57 + 2674.16i −0.667135 + 0.836561i
\(218\) 7400.39 1115.43i 2.29916 0.346543i
\(219\) 35.7880 + 156.797i 0.0110426 + 0.0483808i
\(220\) 2778.62 1894.43i 0.851520 0.580557i
\(221\) −2369.74 + 4104.52i −0.721295 + 1.24932i
\(222\) −3421.37 5925.98i −1.03436 1.79156i
\(223\) −28.8492 13.8931i −0.00866318 0.00417197i 0.429547 0.903044i \(-0.358673\pi\)
−0.438210 + 0.898872i \(0.644387\pi\)
\(224\) 894.922 276.047i 0.266940 0.0823400i
\(225\) 11.8745 158.454i 0.00351836 0.0469492i
\(226\) 1234.06 5406.76i 0.363222 1.59138i
\(227\) 1808.74 + 4608.60i 0.528857 + 1.34750i 0.906755 + 0.421658i \(0.138552\pi\)
−0.377898 + 0.925847i \(0.623353\pi\)
\(228\) −64.8352 865.166i −0.0188325 0.251303i
\(229\) −1152.51 173.713i −0.332576 0.0501278i −0.0193685 0.999812i \(-0.506166\pi\)
−0.313208 + 0.949685i \(0.601404\pi\)
\(230\) −11228.1 + 10418.1i −3.21894 + 2.98674i
\(231\) 1788.47 861.282i 0.509405 0.245317i
\(232\) 5102.97 + 3479.15i 1.44408 + 0.984557i
\(233\) 391.285 996.978i 0.110017 0.280319i −0.865253 0.501335i \(-0.832842\pi\)
0.975270 + 0.221017i \(0.0709376\pi\)
\(234\) −282.175 87.0394i −0.0788306 0.0243160i
\(235\) 2129.52 + 1975.91i 0.591127 + 0.548486i
\(236\) −289.695 363.267i −0.0799050 0.100198i
\(237\) 1254.32 + 1572.86i 0.343784 + 0.431091i
\(238\) −9048.67 8395.93i −2.46444 2.28667i
\(239\) −4084.48 1259.89i −1.10545 0.340986i −0.312283 0.949989i \(-0.601094\pi\)
−0.793168 + 0.609003i \(0.791570\pi\)
\(240\) 1677.53 4274.28i 0.451185 1.14960i
\(241\) −5803.58 3956.82i −1.55121 1.05760i −0.969774 0.244005i \(-0.921539\pi\)
−0.581436 0.813592i \(-0.697509\pi\)
\(242\) 5037.38 2425.88i 1.33808 0.644385i
\(243\) −240.072 + 222.755i −0.0633771 + 0.0588054i
\(244\) −3309.79 498.871i −0.868393 0.130889i
\(245\) −529.318 7063.25i −0.138028 1.84186i
\(246\) 2354.28 + 5998.60i 0.610176 + 1.55470i
\(247\) 121.807 533.672i 0.0313781 0.137477i
\(248\) 335.348 4474.90i 0.0858653 1.14579i
\(249\) 3079.09 949.773i 0.783652 0.241725i
\(250\) 780.421 + 375.831i 0.197433 + 0.0950785i
\(251\) −1061.38 1838.37i −0.266908 0.462299i 0.701154 0.713010i \(-0.252669\pi\)
−0.968062 + 0.250712i \(0.919335\pi\)
\(252\) 253.946 439.848i 0.0634806 0.109952i
\(253\) 2159.35 1472.22i 0.536590 0.365841i
\(254\) 2616.75 + 11464.7i 0.646415 + 2.83213i
\(255\) 7714.73 1162.81i 1.89457 0.285560i
\(256\) −4920.99 + 6170.72i −1.20141 + 1.50652i
\(257\) 1456.60 0.353543 0.176771 0.984252i \(-0.443435\pi\)
0.176771 + 0.984252i \(0.443435\pi\)
\(258\) 3524.54 6350.83i 0.850496 1.53250i
\(259\) 7425.63 1.78149
\(260\) 8163.24 10236.4i 1.94716 2.44167i
\(261\) −194.497 + 29.3156i −0.0461266 + 0.00695246i
\(262\) 1938.25 + 8492.05i 0.457045 + 2.00244i
\(263\) −3807.32 + 2595.79i −0.892660 + 0.608606i −0.920386 0.391010i \(-0.872126\pi\)
0.0277261 + 0.999616i \(0.491173\pi\)
\(264\) −1302.17 + 2255.42i −0.303572 + 0.525802i
\(265\) −514.123 890.487i −0.119179 0.206423i
\(266\) 1284.49 + 618.576i 0.296079 + 0.142584i
\(267\) −6664.96 + 2055.87i −1.52767 + 0.471225i
\(268\) 18.8704 251.809i 0.00430110 0.0573942i
\(269\) 844.418 3699.63i 0.191394 0.838553i −0.784469 0.620169i \(-0.787064\pi\)
0.975863 0.218384i \(-0.0700786\pi\)
\(270\) −3927.77 10007.8i −0.885321 2.25576i
\(271\) 275.284 + 3673.41i 0.0617059 + 0.823408i 0.939101 + 0.343640i \(0.111660\pi\)
−0.877395 + 0.479768i \(0.840721\pi\)
\(272\) 4817.49 + 726.119i 1.07391 + 0.161866i
\(273\) 5665.21 5256.55i 1.25595 1.16535i
\(274\) −9491.65 + 4570.94i −2.09274 + 1.00781i
\(275\) −1504.01 1025.42i −0.329801 0.224855i
\(276\) 5891.69 15011.8i 1.28492 3.27392i
\(277\) −4699.41 1449.58i −1.01935 0.314428i −0.260348 0.965515i \(-0.583837\pi\)
−0.759003 + 0.651087i \(0.774313\pi\)
\(278\) 873.738 + 810.711i 0.188501 + 0.174904i
\(279\) 89.1048 + 111.734i 0.0191203 + 0.0239761i
\(280\) 10327.2 + 12949.9i 2.20417 + 2.76394i
\(281\) 155.945 + 144.696i 0.0331065 + 0.0307183i 0.696553 0.717506i \(-0.254716\pi\)
−0.663446 + 0.748224i \(0.730907\pi\)
\(282\) −4425.72 1365.15i −0.934567 0.288276i
\(283\) −1014.19 + 2584.11i −0.213029 + 0.542788i −0.996947 0.0780751i \(-0.975123\pi\)
0.783919 + 0.620863i \(0.213218\pi\)
\(284\) −10365.4 7067.03i −2.16576 1.47659i
\(285\) −811.855 + 390.969i −0.168737 + 0.0812596i
\(286\) −2479.80 + 2300.92i −0.512705 + 0.475721i
\(287\) −6914.88 1042.25i −1.42220 0.214363i
\(288\) −2.92425 39.0214i −0.000598310 0.00798389i
\(289\) 1229.37 + 3132.37i 0.250227 + 0.637569i
\(290\) 2938.60 12874.8i 0.595036 2.60702i
\(291\) −91.1720 + 1216.61i −0.0183663 + 0.245081i
\(292\) 450.462 138.949i 0.0902783 0.0278472i
\(293\) 6411.07 + 3087.41i 1.27829 + 0.615592i 0.944950 0.327215i \(-0.106110\pi\)
0.333339 + 0.942807i \(0.391824\pi\)
\(294\) 5646.29 + 9779.66i 1.12006 + 1.94001i
\(295\) −241.288 + 417.923i −0.0476215 + 0.0824828i
\(296\) −8049.41 + 5488.00i −1.58062 + 1.07765i
\(297\) 408.194 + 1788.42i 0.0797503 + 0.349409i
\(298\) −5483.76 + 826.544i −1.06599 + 0.160672i
\(299\) 6343.91 7955.01i 1.22702 1.53863i
\(300\) −11232.3 −2.16166
\(301\) 4056.11 + 6758.26i 0.776712 + 1.29415i
\(302\) −6763.74 −1.28877
\(303\) −3352.78 + 4204.25i −0.635683 + 0.797122i
\(304\) −556.405 + 83.8645i −0.104974 + 0.0158222i
\(305\) 773.576 + 3389.26i 0.145229 + 0.636290i
\(306\) −426.141 + 290.538i −0.0796106 + 0.0542776i
\(307\) 1831.95 3173.04i 0.340570 0.589885i −0.643968 0.765052i \(-0.722713\pi\)
0.984539 + 0.175167i \(0.0560465\pi\)
\(308\) −2909.17 5038.83i −0.538199 0.932189i
\(309\) 3178.13 + 1530.51i 0.585105 + 0.281772i
\(310\) −9168.86 + 2828.22i −1.67986 + 0.518168i
\(311\) −558.601 + 7454.01i −0.101850 + 1.35909i 0.678891 + 0.734239i \(0.262461\pi\)
−0.780741 + 0.624855i \(0.785158\pi\)
\(312\) −2256.20 + 9885.07i −0.409398 + 1.79369i
\(313\) −2321.81 5915.87i −0.419285 1.06832i −0.972006 0.234955i \(-0.924506\pi\)
0.552721 0.833367i \(-0.313590\pi\)
\(314\) 53.3567 + 711.995i 0.00958946 + 0.127962i
\(315\) −521.611 78.6203i −0.0932999 0.0140627i
\(316\) 4322.55 4010.74i 0.769502 0.713993i
\(317\) −2193.24 + 1056.21i −0.388596 + 0.187138i −0.617972 0.786200i \(-0.712046\pi\)
0.229376 + 0.973338i \(0.426331\pi\)
\(318\) 1354.49 + 923.473i 0.238855 + 0.162848i
\(319\) −823.220 + 2097.53i −0.144487 + 0.368148i
\(320\) 9124.28 + 2814.47i 1.59395 + 0.491667i
\(321\) −3054.88 2834.51i −0.531174 0.492857i
\(322\) 16522.5 + 20718.5i 2.85951 + 3.58571i
\(323\) −596.107 747.494i −0.102688 0.128767i
\(324\) 8657.24 + 8032.75i 1.48444 + 1.37736i
\(325\) −6772.03 2088.90i −1.15583 0.356526i
\(326\) 286.445 729.850i 0.0486648 0.123996i
\(327\) 6761.81 + 4610.12i 1.14351 + 0.779634i
\(328\) 8266.05 3980.72i 1.39151 0.670118i
\(329\) 3684.33 3418.56i 0.617397 0.572861i
\(330\) 5506.44 + 829.963i 0.918545 + 0.138448i
\(331\) −153.447 2047.61i −0.0254810 0.340020i −0.995345 0.0963739i \(-0.969276\pi\)
0.969864 0.243646i \(-0.0783435\pi\)
\(332\) −3450.52 8791.77i −0.570397 1.45335i
\(333\) 69.0402 302.485i 0.0113615 0.0497780i
\(334\) 689.580 9201.80i 0.112970 1.50749i
\(335\) −250.613 + 77.3039i −0.0408730 + 0.0126077i
\(336\) −7157.45 3446.85i −1.16212 0.559645i
\(337\) 3662.21 + 6343.14i 0.591969 + 1.02532i 0.993967 + 0.109680i \(0.0349825\pi\)
−0.401998 + 0.915640i \(0.631684\pi\)
\(338\) −1253.54 + 2171.20i −0.201727 + 0.349401i
\(339\) 5010.66 3416.21i 0.802777 0.547324i
\(340\) −5088.58 22294.5i −0.811668 3.55615i
\(341\) 1618.91 244.011i 0.257093 0.0387505i
\(342\) 37.1405 46.5727i 0.00587230 0.00736363i
\(343\) −2666.52 −0.419762
\(344\) −9391.62 4328.27i −1.47198 0.678386i
\(345\) −16749.2 −2.61376
\(346\) 203.101 254.681i 0.0315572 0.0395714i
\(347\) 207.953 31.3438i 0.0321714 0.00484906i −0.132937 0.991125i \(-0.542441\pi\)
0.165108 + 0.986275i \(0.447203\pi\)
\(348\) 3093.94 + 13555.4i 0.476588 + 2.08807i
\(349\) 6595.15 4496.49i 1.01155 0.689661i 0.0603286 0.998179i \(-0.480785\pi\)
0.951219 + 0.308517i \(0.0998328\pi\)
\(350\) 9228.76 15984.7i 1.40942 2.44119i
\(351\) 3570.88 + 6184.95i 0.543019 + 0.940536i
\(352\) −403.884 194.500i −0.0611565 0.0294514i
\(353\) −8730.53 + 2693.01i −1.31637 + 0.406047i −0.871873 0.489732i \(-0.837095\pi\)
−0.444499 + 0.895779i \(0.646618\pi\)
\(354\) 57.4955 767.224i 0.00863234 0.115191i
\(355\) −2899.39 + 12703.0i −0.433475 + 1.89918i
\(356\) 7468.95 + 19030.6i 1.11195 + 2.83320i
\(357\) −1008.72 13460.4i −0.149544 1.99552i
\(358\) 7753.75 + 1168.69i 1.14469 + 0.172534i
\(359\) 4794.01 4448.19i 0.704786 0.653946i −0.244033 0.969767i \(-0.578471\pi\)
0.948819 + 0.315821i \(0.102280\pi\)
\(360\) 623.535 300.278i 0.0912866 0.0439613i
\(361\) −5575.93 3801.61i −0.812937 0.554251i
\(362\) 3409.11 8686.28i 0.494970 1.26116i
\(363\) 5842.30 + 1802.11i 0.844741 + 0.260568i
\(364\) −16605.2 15407.4i −2.39107 2.21858i
\(365\) −305.265 382.790i −0.0437761 0.0548935i
\(366\) −3455.68 4333.29i −0.493529 0.618866i
\(367\) −5500.13 5103.37i −0.782301 0.725869i 0.184101 0.982907i \(-0.441063\pi\)
−0.966401 + 0.257039i \(0.917253\pi\)
\(368\) −9994.44 3082.88i −1.41575 0.436701i
\(369\) −106.748 + 271.989i −0.0150598 + 0.0383718i
\(370\) 17211.4 + 11734.5i 2.41832 + 1.64878i
\(371\) −1602.81 + 771.873i −0.224296 + 0.108015i
\(372\) 7405.55 6871.35i 1.03215 0.957696i
\(373\) −230.629 34.7617i −0.0320148 0.00482545i 0.133015 0.991114i \(-0.457534\pi\)
−0.165030 + 0.986289i \(0.552772\pi\)
\(374\) 441.541 + 5891.95i 0.0610468 + 0.814613i
\(375\) 346.053 + 881.728i 0.0476536 + 0.121419i
\(376\) −1467.30 + 6428.68i −0.201251 + 0.881739i
\(377\) −655.575 + 8748.04i −0.0895592 + 1.19508i
\(378\) −17774.1 + 5482.58i −2.41852 + 0.746015i
\(379\) −6520.83 3140.27i −0.883780 0.425606i −0.0637764 0.997964i \(-0.520314\pi\)
−0.820004 + 0.572358i \(0.806029\pi\)
\(380\) 1320.58 + 2287.32i 0.178275 + 0.308782i
\(381\) −6429.63 + 11136.4i −0.864567 + 1.49747i
\(382\) 12508.2 8527.93i 1.67532 1.14222i
\(383\) 1728.95 + 7575.04i 0.230667 + 1.01062i 0.949088 + 0.315010i \(0.102008\pi\)
−0.718422 + 0.695608i \(0.755135\pi\)
\(384\) −13646.6 + 2056.89i −1.81354 + 0.273347i
\(385\) −3767.75 + 4724.61i −0.498759 + 0.625424i
\(386\) −8997.19 −1.18639
\(387\) 313.011 102.391i 0.0411144 0.0134492i
\(388\) 3575.97 0.467892
\(389\) 5131.95 6435.26i 0.668895 0.838768i −0.325384 0.945582i \(-0.605494\pi\)
0.994279 + 0.106814i \(0.0340649\pi\)
\(390\) 21437.8 3231.23i 2.78345 0.419538i
\(391\) −3954.50 17325.8i −0.511477 2.24093i
\(392\) 13284.0 9056.86i 1.71159 1.16694i
\(393\) −4762.50 + 8248.89i −0.611288 + 1.05878i
\(394\) −460.060 796.847i −0.0588261 0.101890i
\(395\) −5517.84 2657.25i −0.702867 0.338483i
\(396\) −232.306 + 71.6570i −0.0294794 + 0.00909318i
\(397\) −618.347 + 8251.27i −0.0781712 + 1.04312i 0.810850 + 0.585255i \(0.199005\pi\)
−0.889021 + 0.457867i \(0.848614\pi\)
\(398\) −62.1773 + 272.416i −0.00783081 + 0.0343090i
\(399\) 569.565 + 1451.23i 0.0714634 + 0.182086i
\(400\) 544.400 + 7264.51i 0.0680500 + 0.908063i
\(401\) 13536.0 + 2040.23i 1.68568 + 0.254075i 0.920782 0.390078i \(-0.127552\pi\)
0.764897 + 0.644153i \(0.222790\pi\)
\(402\) 306.512 284.401i 0.0380284 0.0352852i
\(403\) 5742.73 2765.56i 0.709841 0.341842i
\(404\) 13022.9 + 8878.88i 1.60375 + 1.09342i
\(405\) 4481.22 11418.0i 0.549812 1.40090i
\(406\) −21832.8 6734.52i −2.66882 0.823223i
\(407\) −2605.51 2417.56i −0.317323 0.294433i
\(408\) 11041.5 + 13845.6i 1.33980 + 1.68005i
\(409\) −8193.74 10274.6i −0.990597 1.24217i −0.970182 0.242378i \(-0.922073\pi\)
−0.0204155 0.999792i \(-0.506499\pi\)
\(410\) −14380.5 13343.2i −1.73220 1.60725i
\(411\) −11008.3 3395.61i −1.32117 0.407526i
\(412\) 3777.35 9624.54i 0.451692 1.15089i
\(413\) 689.838 + 470.324i 0.0821906 + 0.0560366i
\(414\) 997.593 480.415i 0.118428 0.0570317i
\(415\) −7190.74 + 6672.04i −0.850554 + 0.789198i
\(416\) −1725.75 260.115i −0.203394 0.0306567i
\(417\) 97.4017 + 1299.74i 0.0114383 + 0.152634i
\(418\) −249.312 635.237i −0.0291729 0.0743313i
\(419\) 1628.58 7135.27i 0.189884 0.831935i −0.786792 0.617218i \(-0.788260\pi\)
0.976676 0.214718i \(-0.0688831\pi\)
\(420\) −2786.58 + 37184.3i −0.323741 + 4.32002i
\(421\) 14373.4 4433.62i 1.66394 0.513258i 0.686980 0.726676i \(-0.258936\pi\)
0.976961 + 0.213419i \(0.0684598\pi\)
\(422\) −3146.53 1515.29i −0.362964 0.174794i
\(423\) −105.001 181.866i −0.0120693 0.0209046i
\(424\) 1166.99 2021.29i 0.133666 0.231516i
\(425\) −10227.1 + 6972.74i −1.16727 + 0.795830i
\(426\) −4622.52 20252.6i −0.525732 2.30338i
\(427\) 5947.44 896.433i 0.674044 0.101596i
\(428\) −7615.81 + 9549.92i −0.860103 + 1.07853i
\(429\) −3699.19 −0.416314
\(430\) −1278.51 + 22074.3i −0.143384 + 2.47562i
\(431\) 4332.46 0.484193 0.242096 0.970252i \(-0.422165\pi\)
0.242096 + 0.970252i \(0.422165\pi\)
\(432\) 4577.22 5739.65i 0.509772 0.639234i
\(433\) −1670.09 + 251.725i −0.185356 + 0.0279380i −0.241064 0.970509i \(-0.577496\pi\)
0.0557081 + 0.998447i \(0.482258\pi\)
\(434\) 3694.01 + 16184.5i 0.408567 + 1.79005i
\(435\) 11931.6 8134.84i 1.31512 0.896634i
\(436\) 11993.7 20773.8i 1.31742 2.28184i
\(437\) 1026.27 + 1777.55i 0.112341 + 0.194580i
\(438\) 703.282 + 338.683i 0.0767217 + 0.0369472i
\(439\) 13718.1 4231.46i 1.49141 0.460038i 0.561389 0.827552i \(-0.310267\pi\)
0.930018 + 0.367514i \(0.119791\pi\)
\(440\) 592.480 7906.10i 0.0641940 0.856610i
\(441\) −113.937 + 499.191i −0.0123029 + 0.0539025i
\(442\) 8403.94 + 21412.9i 0.904377 + 2.30432i
\(443\) −117.547 1568.56i −0.0126069 0.168227i −0.999953 0.00964964i \(-0.996928\pi\)
0.987347 0.158577i \(-0.0506907\pi\)
\(444\) −21687.2 3268.82i −2.31808 0.349395i
\(445\) 15565.0 14442.2i 1.65809 1.53849i
\(446\) −140.019 + 67.4297i −0.0148657 + 0.00715894i
\(447\) −5010.56 3416.14i −0.530182 0.361472i
\(448\) 6035.44 15378.0i 0.636490 1.62175i
\(449\) 9484.56 + 2925.60i 0.996892 + 0.307500i 0.749924 0.661524i \(-0.230090\pi\)
0.246967 + 0.969024i \(0.420566\pi\)
\(450\) −565.335 524.554i −0.0592226 0.0549505i
\(451\) 2086.98 + 2616.98i 0.217898 + 0.273235i
\(452\) −11082.7 13897.3i −1.15329 1.44618i
\(453\) −5421.84 5030.73i −0.562340 0.521775i
\(454\) 22961.2 + 7082.60i 2.37362 + 0.732165i
\(455\) −8595.29 + 21900.4i −0.885612 + 2.25650i
\(456\) −1689.96 1152.19i −0.173552 0.118325i
\(457\) −16956.6 + 8165.85i −1.73566 + 0.835847i −0.751231 + 0.660040i \(0.770539\pi\)
−0.984425 + 0.175808i \(0.943746\pi\)
\(458\) −4146.78 + 3847.65i −0.423070 + 0.392552i
\(459\) 12334.5 + 1859.12i 1.25430 + 0.189055i
\(460\) 3668.74 + 48956.0i 0.371861 + 4.96214i
\(461\) 795.995 + 2028.16i 0.0804190 + 0.204904i 0.965428 0.260669i \(-0.0839433\pi\)
−0.885009 + 0.465574i \(0.845848\pi\)
\(462\) 2143.86 9392.85i 0.215890 0.945877i
\(463\) −207.320 + 2766.49i −0.0208099 + 0.277689i 0.977086 + 0.212847i \(0.0682734\pi\)
−0.997896 + 0.0648422i \(0.979346\pi\)
\(464\) 8617.03 2658.00i 0.862146 0.265937i
\(465\) −9453.35 4552.50i −0.942772 0.454015i
\(466\) −2599.07 4501.72i −0.258368 0.447507i
\(467\) 2106.15 3647.97i 0.208696 0.361473i −0.742608 0.669727i \(-0.766411\pi\)
0.951304 + 0.308254i \(0.0997446\pi\)
\(468\) −782.010 + 533.165i −0.0772402 + 0.0526615i
\(469\) 100.969 + 442.373i 0.00994094 + 0.0435541i
\(470\) 13941.9 2101.41i 1.36828 0.206236i
\(471\) −486.796 + 610.423i −0.0476229 + 0.0597172i
\(472\) −1095.39 −0.106820
\(473\) 777.075 3691.89i 0.0755390 0.358887i
\(474\) 9764.08 0.946158
\(475\) 891.349 1117.72i 0.0861008 0.107967i
\(476\) −39122.3 + 5896.73i −3.76715 + 0.567807i
\(477\) 16.5402 + 72.4674i 0.00158768 + 0.00695609i
\(478\) −17140.8 + 11686.4i −1.64017 + 1.11825i
\(479\) −8850.08 + 15328.8i −0.844197 + 1.46219i 0.0421196 + 0.999113i \(0.486589\pi\)
−0.886317 + 0.463080i \(0.846744\pi\)
\(480\) 1436.46 + 2488.02i 0.136594 + 0.236588i
\(481\) −12467.5 6004.01i −1.18184 0.569146i
\(482\) −32576.7 + 10048.6i −3.07848 + 0.949587i
\(483\) −2165.54 + 28897.1i −0.204007 + 2.72228i
\(484\) 3987.66 17471.1i 0.374499 1.64079i
\(485\) −1356.89 3457.30i −0.127038 0.323687i
\(486\) 118.783 + 1585.06i 0.0110867 + 0.147941i
\(487\) −15439.9 2327.19i −1.43665 0.216540i −0.615899 0.787825i \(-0.711207\pi\)
−0.820752 + 0.571285i \(0.806445\pi\)
\(488\) −5784.54 + 5367.27i −0.536585 + 0.497878i
\(489\) 772.462 371.998i 0.0714355 0.0344015i
\(490\) −28404.0 19365.5i −2.61870 1.78540i
\(491\) 6899.09 17578.6i 0.634117 1.61570i −0.145435 0.989368i \(-0.546458\pi\)
0.779552 0.626337i \(-0.215447\pi\)
\(492\) 19736.7 + 6087.97i 1.80854 + 0.557860i
\(493\) 11231.9 + 10421.7i 1.02609 + 0.952070i
\(494\) −1656.47 2077.15i −0.150867 0.189181i
\(495\) 157.427 + 197.407i 0.0142946 + 0.0179249i
\(496\) −4802.98 4456.51i −0.434799 0.403434i
\(497\) 21541.4 + 6644.66i 1.94420 + 0.599705i
\(498\) 5713.60 14558.0i 0.514122 1.30996i
\(499\) −5544.12 3779.91i −0.497372 0.339103i 0.288512 0.957476i \(-0.406839\pi\)
−0.785884 + 0.618374i \(0.787792\pi\)
\(500\) 2501.39 1204.60i 0.223731 0.107743i
\(501\) 7396.87 6863.30i 0.659617 0.612035i
\(502\) −10187.7 1535.55i −0.905779 0.136524i
\(503\) −620.324 8277.64i −0.0549878 0.733761i −0.954755 0.297392i \(-0.903883\pi\)
0.899768 0.436369i \(-0.143736\pi\)
\(504\) −437.447 1114.60i −0.0386616 0.0985080i
\(505\) 3642.73 15959.8i 0.320989 1.40634i
\(506\) 947.909 12649.0i 0.0832800 1.11129i
\(507\) −2619.73 + 808.081i −0.229480 + 0.0707852i
\(508\) 33958.9 + 16353.7i 2.96591 + 1.42831i
\(509\) 1284.88 + 2225.48i 0.111889 + 0.193797i 0.916532 0.399962i \(-0.130977\pi\)
−0.804643 + 0.593759i \(0.797643\pi\)
\(510\) 18933.1 32793.1i 1.64387 2.84726i
\(511\) −699.888 + 477.176i −0.0605895 + 0.0413092i
\(512\) 3895.09 + 17065.5i 0.336211 + 1.47304i
\(513\) −1424.59 + 214.723i −0.122607 + 0.0184800i
\(514\) 4407.82 5527.24i 0.378250 0.474311i
\(515\) −10738.5 −0.918823
\(516\) −8871.19 21523.6i −0.756846 1.83629i
\(517\) −2405.74 −0.204651
\(518\) 22470.6 28177.3i 1.90599 2.39004i
\(519\) 352.232 53.0905i 0.0297905 0.00449020i
\(520\) −6868.45 30092.6i −0.579234 2.53779i
\(521\) 9983.72 6806.79i 0.839529 0.572381i −0.0654407 0.997856i \(-0.520845\pi\)
0.904970 + 0.425475i \(0.139893\pi\)
\(522\) −477.324 + 826.749i −0.0400228 + 0.0693215i
\(523\) 3671.83 + 6359.79i 0.306994 + 0.531729i 0.977703 0.209991i \(-0.0673436\pi\)
−0.670709 + 0.741720i \(0.734010\pi\)
\(524\) 25153.7 + 12113.4i 2.09703 + 1.00988i
\(525\) 19286.9 5949.21i 1.60333 0.494562i
\(526\) −1671.33 + 22302.4i −0.138543 + 1.84873i
\(527\) 2477.27 10853.6i 0.204766 0.897137i
\(528\) 1389.22 + 3539.68i 0.114504 + 0.291752i
\(529\) 1941.86 + 25912.3i 0.159600 + 2.12972i
\(530\) −4934.83 743.806i −0.404444 0.0609601i
\(531\) 25.5726 23.7279i 0.00208993 0.00193917i
\(532\) 4117.01 1982.65i 0.335517 0.161576i
\(533\) 10767.2 + 7340.96i 0.875009 + 0.596571i
\(534\) −12367.6 + 31512.1i −1.00224 + 2.55368i
\(535\) 12122.8 + 3739.40i 0.979655 + 0.302184i
\(536\) −436.391 404.912i −0.0351665 0.0326297i
\(537\) 5346.18 + 6703.90i 0.429618 + 0.538724i
\(538\) −11483.4 14399.7i −0.920228 1.15393i
\(539\) 4299.88 + 3989.71i 0.343616 + 0.318829i
\(540\) −32927.9 10156.9i −2.62406 0.809414i
\(541\) 3367.06 8579.13i 0.267581 0.681785i −0.732419 0.680854i \(-0.761609\pi\)
1.00000 0.000930218i \(-0.000296098\pi\)
\(542\) 14772.2 + 10071.5i 1.17070 + 0.798169i
\(543\) 9193.42 4427.32i 0.726570 0.349898i
\(544\) −2234.52 + 2073.33i −0.176111 + 0.163407i
\(545\) −24635.4 3713.19i −1.93627 0.291845i
\(546\) −2803.04 37404.0i −0.219706 2.93177i
\(547\) −1699.80 4331.02i −0.132867 0.338540i 0.848921 0.528520i \(-0.177253\pi\)
−0.981788 + 0.189980i \(0.939158\pi\)
\(548\) −7513.72 + 32919.8i −0.585712 + 2.56617i
\(549\) 18.7803 250.605i 0.00145997 0.0194819i
\(550\) −8442.33 + 2604.12i −0.654513 + 0.201891i
\(551\) −1594.41 767.827i −0.123274 0.0593658i
\(552\) −19009.3 32925.1i −1.46574 2.53874i
\(553\) −5297.91 + 9176.25i −0.407396 + 0.705631i
\(554\) −19721.4 + 13445.8i −1.51242 + 1.03115i
\(555\) 5068.81 + 22207.9i 0.387674 + 1.69851i
\(556\) 3777.64 569.388i 0.288143 0.0434306i
\(557\) 8923.51 11189.7i 0.678817 0.851210i −0.316427 0.948617i \(-0.602483\pi\)
0.995245 + 0.0974069i \(0.0310548\pi\)
\(558\) 693.626 0.0526228
\(559\) −1345.70 14626.5i −0.101820 1.10668i
\(560\) 24184.1 1.82493
\(561\) −4028.37 + 5051.41i −0.303169 + 0.380162i
\(562\) 1020.97 153.887i 0.0766317 0.0115504i
\(563\) 745.646 + 3266.89i 0.0558175 + 0.244552i 0.995138 0.0984877i \(-0.0314005\pi\)
−0.939321 + 0.343040i \(0.888543\pi\)
\(564\) −12265.3 + 8362.34i −0.915713 + 0.624322i
\(565\) −9230.81 + 15988.2i −0.687333 + 1.19050i
\(566\) 6736.63 + 11668.2i 0.500285 + 0.866520i
\(567\) −19119.8 9207.62i −1.41615 0.681982i
\(568\) −28261.9 + 8717.63i −2.08775 + 0.643985i
\(569\) 897.891 11981.5i 0.0661539 0.882762i −0.861126 0.508392i \(-0.830240\pi\)
0.927279 0.374370i \(-0.122141\pi\)
\(570\) −973.179 + 4263.78i −0.0715123 + 0.313316i
\(571\) −1456.02 3709.88i −0.106712 0.271898i 0.867537 0.497373i \(-0.165702\pi\)
−0.974249 + 0.225475i \(0.927607\pi\)
\(572\) 810.270 + 10812.3i 0.0592292 + 0.790358i
\(573\) 16369.5 + 2467.30i 1.19345 + 0.179883i
\(574\) −24880.0 + 23085.3i −1.80918 + 1.67868i
\(575\) 23941.6 11529.7i 1.73641 0.836211i
\(576\) −570.314 388.833i −0.0412553 0.0281274i
\(577\) −4494.52 + 11451.9i −0.324280 + 0.826252i 0.672038 + 0.740517i \(0.265419\pi\)
−0.996318 + 0.0857350i \(0.972676\pi\)
\(578\) 15606.3 + 4813.91i 1.12307 + 0.346422i
\(579\) −7212.17 6691.92i −0.517664 0.480322i
\(580\) −26390.7 33092.9i −1.88933 2.36915i
\(581\) 10581.4 + 13268.7i 0.755579 + 0.947466i
\(582\) 4340.64 + 4027.53i 0.309150 + 0.286849i
\(583\) 813.695 + 250.992i 0.0578041 + 0.0178302i
\(584\) 406.020 1034.52i 0.0287692 0.0733028i
\(585\) 812.205 + 553.752i 0.0574026 + 0.0391364i
\(586\) 31116.0 14984.7i 2.19350 1.05633i
\(587\) −1561.62 + 1448.97i −0.109804 + 0.101883i −0.733165 0.680051i \(-0.761957\pi\)
0.623360 + 0.781935i \(0.285767\pi\)
\(588\) 35790.5 + 5394.54i 2.51016 + 0.378346i
\(589\) 96.0877 + 1282.20i 0.00672194 + 0.0896981i
\(590\) 855.692 + 2180.27i 0.0597089 + 0.152136i
\(591\) 223.893 980.938i 0.0155833 0.0682748i
\(592\) −1062.99 + 14184.7i −0.0737986 + 0.984773i
\(593\) −14911.6 + 4599.60i −1.03262 + 0.318521i −0.764336 0.644818i \(-0.776933\pi\)
−0.268285 + 0.963340i \(0.586457\pi\)
\(594\) 8021.56 + 3862.98i 0.554089 + 0.266835i
\(595\) 20545.9 + 35586.5i 1.41563 + 2.45194i
\(596\) −8887.47 + 15393.6i −0.610814 + 1.05796i
\(597\) −252.459 + 172.124i −0.0173073 + 0.0117999i
\(598\) −10988.8 48145.2i −0.751449 3.29231i
\(599\) 1672.05 252.021i 0.114054 0.0171908i −0.0917675 0.995780i \(-0.529252\pi\)
0.205821 + 0.978590i \(0.434014\pi\)
\(600\) −16510.2 + 20703.2i −1.12338 + 1.40867i
\(601\) −8333.53 −0.565610 −0.282805 0.959177i \(-0.591265\pi\)
−0.282805 + 0.959177i \(0.591265\pi\)
\(602\) 37919.1 + 5059.81i 2.56722 + 0.342562i
\(603\) 18.9589 0.00128038
\(604\) −13516.6 + 16949.3i −0.910569 + 1.14182i
\(605\) −18404.4 + 2774.02i −1.23677 + 0.186413i
\(606\) 5807.64 + 25444.9i 0.389305 + 1.70566i
\(607\) −14707.5 + 10027.4i −0.983457 + 0.670510i −0.944425 0.328728i \(-0.893380\pi\)
−0.0390328 + 0.999238i \(0.512428\pi\)
\(608\) 176.031 304.895i 0.0117418 0.0203374i
\(609\) −12492.2 21637.2i −0.831216 1.43971i
\(610\) 15201.8 + 7320.81i 1.00902 + 0.485919i
\(611\) −8949.99 + 2760.71i −0.592598 + 0.182792i
\(612\) −123.536 + 1648.48i −0.00815958 + 0.108882i
\(613\) 2896.30 12689.5i 0.190833 0.836092i −0.785334 0.619072i \(-0.787509\pi\)
0.976167 0.217021i \(-0.0696339\pi\)
\(614\) −6496.75 16553.4i −0.427015 1.08802i
\(615\) −1603.10 21391.9i −0.105111 1.40261i
\(616\) −13563.6 2044.39i −0.887166 0.133719i
\(617\) 10473.0 9717.51i 0.683349 0.634055i −0.260096 0.965583i \(-0.583754\pi\)
0.943446 + 0.331527i \(0.107564\pi\)
\(618\) 15425.0 7428.28i 1.00402 0.483510i
\(619\) −16682.8 11374.2i −1.08326 0.738556i −0.116233 0.993222i \(-0.537082\pi\)
−0.967029 + 0.254666i \(0.918034\pi\)
\(620\) −11235.7 + 28628.2i −0.727804 + 1.85441i
\(621\) −25589.3 7893.25i −1.65356 0.510057i
\(622\) 26594.6 + 24676.2i 1.71439 + 1.59072i
\(623\) −22904.4 28721.3i −1.47295 1.84702i
\(624\) 9230.23 + 11574.3i 0.592156 + 0.742540i
\(625\) 10352.3 + 9605.55i 0.662549 + 0.614755i
\(626\) −29474.4 9091.64i −1.88184 0.580472i
\(627\) 272.627 694.641i 0.0173647 0.0442445i
\(628\) 1890.82 + 1289.14i 0.120147 + 0.0819145i
\(629\) −21775.6 + 10486.6i −1.38037 + 0.664750i
\(630\) −1876.78 + 1741.40i −0.118687 + 0.110125i
\(631\) 16792.1 + 2531.01i 1.05940 + 0.159679i 0.655556 0.755147i \(-0.272434\pi\)
0.403848 + 0.914826i \(0.367672\pi\)
\(632\) −1038.86 13862.6i −0.0653853 0.872507i
\(633\) −1395.23 3554.98i −0.0876072 0.223219i
\(634\) −2629.07 + 11518.7i −0.164690 + 0.721554i
\(635\) 2925.45 39037.4i 0.182823 2.43961i
\(636\) 5020.94 1548.75i 0.313040 0.0965599i
\(637\) 20575.1 + 9908.43i 1.27977 + 0.616305i
\(638\) 5468.15 + 9471.11i 0.339320 + 0.587719i
\(639\) 470.955 815.717i 0.0291560 0.0504996i
\(640\) 34712.7 23666.7i 2.14397 1.46173i
\(641\) 3925.22 + 17197.5i 0.241867 + 1.05969i 0.939316 + 0.343054i \(0.111462\pi\)
−0.697448 + 0.716635i \(0.745681\pi\)
\(642\) −20000.2 + 3014.55i −1.22951 + 0.185319i
\(643\) 14417.6 18079.1i 0.884251 1.10882i −0.109138 0.994027i \(-0.534809\pi\)
0.993390 0.114790i \(-0.0366194\pi\)
\(644\) 84937.2 5.19719
\(645\) −17443.3 + 16743.9i −1.06485 + 1.02216i
\(646\) −4640.32 −0.282618
\(647\) 6430.73 8063.87i 0.390754 0.489990i −0.547077 0.837082i \(-0.684259\pi\)
0.937831 + 0.347092i \(0.112831\pi\)
\(648\) 27531.0 4149.63i 1.66901 0.251563i
\(649\) −88.9278 389.618i −0.00537862 0.0235653i
\(650\) −28419.3 + 19376.0i −1.71492 + 1.16921i
\(651\) −9076.57 + 15721.1i −0.546450 + 0.946479i
\(652\) −1256.51 2176.33i −0.0754733 0.130724i
\(653\) 20930.5 + 10079.6i 1.25433 + 0.604052i 0.938669 0.344821i \(-0.112060\pi\)
0.315658 + 0.948873i \(0.397775\pi\)
\(654\) 37955.4 11707.7i 2.26938 0.700011i
\(655\) 2166.91 28915.4i 0.129264 1.72491i
\(656\) 2980.82 13059.8i 0.177411 0.777287i
\(657\) 12.9306 + 32.9467i 0.000767841 + 0.00195643i
\(658\) −1822.94 24325.4i −0.108002 1.44119i
\(659\) −19277.0 2905.54i −1.13949 0.171751i −0.447931 0.894068i \(-0.647839\pi\)
−0.691562 + 0.722317i \(0.743077\pi\)
\(660\) 13083.9 12140.0i 0.771649 0.715986i
\(661\) −28772.1 + 13855.9i −1.69305 + 0.815329i −0.697982 + 0.716115i \(0.745919\pi\)
−0.995066 + 0.0992139i \(0.968367\pi\)
\(662\) −8234.20 5613.98i −0.483431 0.329597i
\(663\) −9189.83 + 23415.3i −0.538316 + 1.37161i
\(664\) −21276.7 6562.99i −1.24352 0.383575i
\(665\) −3479.05 3228.08i −0.202875 0.188240i
\(666\) −938.887 1177.33i −0.0546263 0.0684993i
\(667\) −20509.0 25717.5i −1.19057 1.49293i
\(668\) −21680.8 20116.9i −1.25577 1.16519i
\(669\) −162.393 50.0915i −0.00938484 0.00289484i
\(670\) −465.041 + 1184.91i −0.0268151 + 0.0683238i
\(671\) −2378.70 1621.77i −0.136853 0.0933050i
\(672\) 4478.26 2156.61i 0.257072 0.123799i
\(673\) −23256.1 + 21578.5i −1.33203 + 1.23594i −0.381855 + 0.924222i \(0.624715\pi\)
−0.950174 + 0.311720i \(0.899095\pi\)
\(674\) 35151.9 + 5298.30i 2.00890 + 0.302793i
\(675\) 1393.86 + 18599.7i 0.0794808 + 1.06060i
\(676\) 2935.75 + 7480.17i 0.167032 + 0.425590i
\(677\) 4849.03 21245.0i 0.275278 1.20607i −0.628410 0.777882i \(-0.716294\pi\)
0.903688 0.428191i \(-0.140849\pi\)
\(678\) 2199.57 29351.2i 0.124593 1.66258i
\(679\) −6140.26 + 1894.02i −0.347042 + 0.107048i
\(680\) −48572.5 23391.3i −2.73922 1.31914i
\(681\) 13137.9 + 22755.5i 0.739274 + 1.28046i
\(682\) 3973.04 6881.50i 0.223072 0.386373i
\(683\) 4808.21 3278.18i 0.269372 0.183654i −0.421099 0.907014i \(-0.638356\pi\)
0.690471 + 0.723360i \(0.257403\pi\)
\(684\) −42.4855 186.141i −0.00237496 0.0104054i
\(685\) 34678.4 5226.93i 1.93430 0.291549i
\(686\) −8069.14 + 10118.4i −0.449098 + 0.563151i
\(687\) −6185.87 −0.343531
\(688\) −13490.5 + 6780.65i −0.747558 + 0.375741i
\(689\) 3315.18 0.183307
\(690\) −50684.7 + 63556.6i −2.79643 + 3.50661i
\(691\) 28353.2 4273.56i 1.56094 0.235274i 0.688953 0.724806i \(-0.258071\pi\)
0.871985 + 0.489533i \(0.162833\pi\)
\(692\) −232.330 1017.90i −0.0127628 0.0559175i
\(693\) 360.937 246.083i 0.0197848 0.0134891i
\(694\) 510.347 883.948i 0.0279143 0.0483490i
\(695\) −1983.91 3436.23i −0.108279 0.187545i
\(696\) 29532.8 + 14222.3i 1.60839 + 0.774560i
\(697\) 21749.8 6708.91i 1.18197 0.364588i
\(698\) 2895.13 38632.8i 0.156994 2.09495i
\(699\) 1264.86 5541.73i 0.0684428 0.299868i
\(700\) −21613.4 55070.2i −1.16702 2.97351i
\(701\) 1117.99 + 14918.5i 0.0602365 + 0.803800i 0.942747 + 0.333508i \(0.108232\pi\)
−0.882511 + 0.470292i \(0.844148\pi\)
\(702\) 34275.3 + 5166.16i 1.84279 + 0.277755i
\(703\) 2046.28 1898.67i 0.109782 0.101863i
\(704\) −7124.35 + 3430.91i −0.381405 + 0.183675i
\(705\) 12738.9 + 8685.22i 0.680531 + 0.463978i
\(706\) −16200.5 + 41278.2i −0.863618 + 2.20046i
\(707\) −27064.2 8348.21i −1.43968 0.444083i
\(708\) −1807.69 1677.29i −0.0959566 0.0890347i
\(709\) 2426.14 + 3042.28i 0.128513 + 0.161150i 0.841925 0.539595i \(-0.181423\pi\)
−0.713412 + 0.700745i \(0.752851\pi\)
\(710\) 39429.2 + 49442.6i 2.08416 + 2.61345i
\(711\) 324.539 + 301.129i 0.0171184 + 0.0158835i
\(712\) 46055.3 + 14206.2i 2.42415 + 0.747752i
\(713\) −8731.65 + 22247.9i −0.458630 + 1.16857i
\(714\) −54129.4 36904.8i −2.83717 1.93435i
\(715\) 10146.1 4886.08i 0.530687 0.255565i
\(716\) 18423.7 17094.7i 0.961628 0.892260i
\(717\) −22432.2 3381.11i −1.16841 0.176109i
\(718\) −2371.99 31652.0i −0.123289 1.64518i
\(719\) 11900.7 + 30322.6i 0.617277 + 1.57280i 0.806738 + 0.590909i \(0.201231\pi\)
−0.189461 + 0.981888i \(0.560674\pi\)
\(720\) 224.853 985.144i 0.0116386 0.0509919i
\(721\) −1388.40 + 18526.9i −0.0717152 + 0.956973i
\(722\) −31298.9 + 9654.43i −1.61333 + 0.497646i
\(723\) −33587.5 16174.9i −1.72771 0.832021i
\(724\) −14954.3 25901.5i −0.767639 1.32959i
\(725\) −11455.5 + 19841.5i −0.586822 + 1.01641i
\(726\) 24517.6 16715.8i 1.25335 0.854522i
\(727\) 4973.87 + 21792.0i 0.253742 + 1.11172i 0.927811 + 0.373050i \(0.121688\pi\)
−0.674069 + 0.738668i \(0.735455\pi\)
\(728\) −52806.3 + 7959.27i −2.68837 + 0.405206i
\(729\) 11696.3 14666.8i 0.594236 0.745148i
\(730\) −2376.30 −0.120480
\(731\) −21438.7 14090.5i −1.08473 0.712935i
\(732\) −17764.7 −0.896995
\(733\) −4922.43 + 6172.53i −0.248041 + 0.311034i −0.890229 0.455514i \(-0.849456\pi\)
0.642188 + 0.766547i \(0.278027\pi\)
\(734\) −36009.2 + 5427.51i −1.81079 + 0.272933i
\(735\) −8365.07 36649.8i −0.419796 1.83925i
\(736\) 5406.93 3686.38i 0.270791 0.184622i
\(737\) 108.595 188.093i 0.00542762 0.00940092i
\(738\) 709.061 + 1228.13i 0.0353671 + 0.0612576i
\(739\) −18013.0 8674.58i −0.896641 0.431799i −0.0719661 0.997407i \(-0.522927\pi\)
−0.824674 + 0.565608i \(0.808642\pi\)
\(740\) 63800.8 19679.9i 3.16941 0.977634i
\(741\) 217.108 2897.10i 0.0107634 0.143627i
\(742\) −1921.31 + 8417.79i −0.0950585 + 0.416478i
\(743\) 10832.3 + 27600.4i 0.534859 + 1.36280i 0.901639 + 0.432490i \(0.142365\pi\)
−0.366780 + 0.930308i \(0.619540\pi\)
\(744\) −1779.81 23749.9i −0.0877029 1.17031i
\(745\) 18255.1 + 2751.51i 0.897737 + 0.135312i
\(746\) −829.811 + 769.953i −0.0407259 + 0.0377882i
\(747\) 638.885 307.671i 0.0312926 0.0150697i
\(748\) 15647.1 + 10668.0i 0.764857 + 0.521471i
\(749\) 8018.89 20431.8i 0.391193 0.996745i
\(750\) 4392.99 + 1355.06i 0.213879 + 0.0659730i
\(751\) 11841.4 + 10987.2i 0.575363 + 0.533858i 0.913288 0.407314i \(-0.133535\pi\)
−0.337925 + 0.941173i \(0.609725\pi\)
\(752\) 6002.82 + 7527.29i 0.291091 + 0.365016i
\(753\) −7024.41 8808.33i −0.339952 0.426286i
\(754\) 31211.5 + 28960.0i 1.50750 + 1.39876i
\(755\) 21515.7 + 6636.73i 1.03714 + 0.319914i
\(756\) −21780.8 + 55496.6i −1.04783 + 2.66983i
\(757\) 32167.3 + 21931.3i 1.54444 + 1.05298i 0.972563 +