Properties

Label 43.4.g.a.9.9
Level 43
Weight 4
Character 43.9
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 9.9
Character \(\chi\) \(=\) 43.9
Dual form 43.4.g.a.24.9

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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 0.936554 + 0.350523i \(0.113996\pi\)
0.133332 + 0.991071i \(0.457432\pi\)
\(3\) 5.24807 + 0.791020i 1.00999 + 0.152232i 0.633136 0.774040i \(-0.281767\pi\)
0.376856 + 0.926272i \(0.377005\pi\)
\(4\) −3.46159 + 15.1662i −0.432699 + 1.89578i
\(5\) −13.3495 9.10152i −1.19401 0.814064i −0.207578 0.978218i \(-0.566558\pi\)
−0.986435 + 0.164154i \(0.947511\pi\)
\(6\) 12.8796 + 22.3080i 0.876343 + 1.51787i
\(7\) 13.9767 24.2083i 0.754670 1.30713i −0.190868 0.981616i \(-0.561130\pi\)
0.945538 0.325512i \(-0.105537\pi\)
\(8\) −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 0.999201 0.0399700i \(-0.0127262\pi\)
−0.917591 + 0.397525i \(0.869869\pi\)
\(12\) −30.1635 + 76.8553i −0.725621 + 1.84885i
\(13\) −3.89282 + 51.9461i −0.0830519 + 1.10825i 0.787546 + 0.616256i \(0.211351\pi\)
−0.870598 + 0.491995i \(0.836268\pi\)
\(14\) 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 −0.964804 0.262971i \(-0.915298\pi\)
−0.107689 + 0.994185i \(0.534345\pi\)
\(18\) 2.07102 + 5.27687i 0.0271191 + 0.0690983i
\(19\) 10.0414 3.09738i 0.121246 0.0373993i −0.233539 0.972348i \(-0.575031\pi\)
0.354784 + 0.934948i \(0.384554\pi\)
\(20\) 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 0.332867 0.942974i \(-0.391984\pi\)
0.965212 0.261467i \(-0.0842064\pi\)
\(24\) −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 −0.658676 0.752426i \(-0.728883\pi\)
−0.407632 + 0.913146i \(0.633645\pi\)
\(30\) 31.1018 415.024i 0.189279 2.52576i
\(31\) 44.7032 113.902i 0.258998 0.659915i −0.740934 0.671577i \(-0.765617\pi\)
0.999932 + 0.0116623i \(0.00371232\pi\)
\(32\) 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 0.994211 + 0.107444i \(0.0342667\pi\)
−0.404056 + 0.914734i \(0.632400\pi\)
\(38\) 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 0.390320 0.920679i \(-0.372364\pi\)
−0.984450 + 0.175663i \(0.943793\pi\)
\(42\) 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 0.874129 + 0.485695i \(0.161433\pi\)
−0.998298 + 0.0583256i \(0.981424\pi\)
\(48\) −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 −0.999970 0.00776357i \(-0.997529\pi\)
0.987644 0.156715i \(-0.0500903\pi\)
\(54\) −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 0.463338 0.886182i \(-0.346652\pi\)
−0.403958 + 0.914777i \(0.632366\pi\)
\(60\) 1102.17 751.444i 2.37148 1.61685i
\(61\) 78.6090 + 200.292i 0.164998 + 0.420407i 0.989329 0.145701i \(-0.0465438\pi\)
−0.824331 + 0.566108i \(0.808449\pi\)
\(62\) 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 −0.280581 0.959830i \(-0.590527\pi\)
0.308865 + 0.951106i \(0.400051\pi\)
\(68\) −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 0.996542 0.0830934i \(-0.0264800\pi\)
−0.00838935 + 0.999965i \(0.502670\pi\)
\(72\) −42.3559 + 6.38413i −0.0693291 + 0.0104497i
\(73\) 2.26456 30.2185i 0.00363078 0.0484494i −0.995094 0.0989327i \(-0.968457\pi\)
0.998725 + 0.0504833i \(0.0160762\pi\)
\(74\) −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 −0.698923 0.715197i \(-0.746337\pi\)
0.968840 + 0.247687i \(0.0796705\pi\)
\(80\) 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 0.533473 0.845817i \(-0.320887\pi\)
0.260463 + 0.965484i \(0.416125\pi\)
\(84\) 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 −0.681079 0.732210i \(-0.738489\pi\)
−0.866643 + 0.498928i \(0.833727\pi\)
\(90\) 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 0.941075 0.338198i \(-0.109817\pi\)
−0.994618 + 0.103611i \(0.966960\pi\)
\(98\) 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 0.223536 0.974696i \(-0.428240\pi\)
−0.955265 + 0.295750i \(0.904430\pi\)
\(102\) −2111.56 1016.87i −2.04976 0.987112i
\(103\) 549.148 374.403i 0.525332 0.358165i −0.271430 0.962458i \(-0.587497\pi\)
0.796762 + 0.604293i \(0.206544\pi\)
\(104\) −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 −0.952153 0.305623i \(-0.901135\pi\)
0.509834 + 0.860273i \(0.329707\pi\)
\(108\) 1329.75 1667.46i 1.18477 1.48566i
\(109\) 1130.35 1048.81i 0.993286 0.921635i −0.00363925 0.999993i \(-0.501158\pi\)
0.996925 + 0.0783587i \(0.0249679\pi\)
\(110\) 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 0.810188 0.586171i \(-0.199365\pi\)
0.0468570 + 0.998902i \(0.485080\pi\)
\(114\) 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 −0.944052 0.329797i \(-0.893020\pi\)
−0.111457 0.993769i \(-0.535552\pi\)
\(128\) −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 0.253208 0.967412i \(-0.418514\pi\)
−0.999501 + 0.0315903i \(0.989943\pi\)
\(132\) −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 −0.929193 0.369596i \(-0.879496\pi\)
−0.290381 + 0.956911i \(0.593782\pi\)
\(138\) 4807.87 + 1483.03i 2.96575 + 0.914812i
\(139\) −18.3522 244.894i −0.0111987 0.149436i −1.00000 0.000197963i \(-0.999937\pi\)
0.988801 0.149238i \(-0.0476821\pi\)
\(140\) −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 −0.876010 0.482293i \(-0.839804\pi\)
0.415480 + 0.909602i \(0.363614\pi\)
\(150\) −2184.97 + 2739.87i −1.18935 + 1.49140i
\(151\) −868.887 + 1089.55i −0.468272 + 0.587194i −0.958747 0.284261i \(-0.908252\pi\)
0.490475 + 0.871455i \(0.336823\pi\)
\(152\) −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 0.652288 0.757971i \(-0.273809\pi\)
−0.707106 + 0.707107i \(0.750000\pi\)
\(158\) 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 0.331622 0.943412i \(-0.392404\pi\)
−0.257444 + 0.966293i \(0.582880\pi\)
\(164\) 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 0.869672 0.493630i \(-0.164330\pi\)
−0.141781 + 0.989898i \(0.545283\pi\)
\(168\) −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 −0.646617 0.762815i \(-0.723817\pi\)
0.983925 + 0.178579i \(0.0571502\pi\)
\(180\) 264.488 127.371i 0.109521 0.0527425i
\(181\) 1837.19 + 566.697i 0.754459 + 0.232720i 0.648045 0.761602i \(-0.275587\pi\)
0.106414 + 0.994322i \(0.466063\pi\)
\(182\) 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 0.326762 0.945107i \(-0.394042\pi\)
0.802381 + 0.596812i \(0.203566\pi\)
\(192\) −2299.26 + 2133.40i −0.864245 + 0.801902i
\(193\) −1155.80 + 1449.33i −0.431069 + 0.540544i −0.949165 0.314779i \(-0.898070\pi\)
0.518096 + 0.855323i \(0.326641\pi\)
\(194\) 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 0.942851 0.333214i \(-0.108133\pi\)
−0.917802 + 0.397038i \(0.870038\pi\)
\(198\) −62.6687 + 42.7268i −0.0224933 + 0.0153357i
\(199\) −51.8701 24.9793i −0.0184773 0.00889818i 0.424622 0.905371i \(-0.360407\pi\)
−0.443100 + 0.896472i \(0.646121\pi\)
\(200\) −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 −0.994308 0.106540i \(-0.966023\pi\)
0.942067 + 0.335425i \(0.108880\pi\)
\(212\) 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 −0.438210 0.898872i \(-0.644387\pi\)
0.429547 + 0.903044i \(0.358673\pi\)
\(224\) 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 −0.377898 0.925847i \(-0.623353\pi\)
0.906755 0.421658i \(-0.138552\pi\)
\(228\) −64.8352 + 865.166i −0.0188325 + 0.251303i
\(229\) −1152.51 + 173.713i −0.332576 + 0.0501278i −0.313208 0.949685i \(-0.601404\pi\)
−0.0193685 + 0.999812i \(0.506166\pi\)
\(230\) −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 0.975270 0.221017i \(-0.0709376\pi\)
−0.865253 + 0.501335i \(0.832842\pi\)
\(234\) −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 −0.793168 0.609003i \(-0.791570\pi\)
−0.312283 + 0.949989i \(0.601094\pi\)
\(240\) 1677.53 + 4274.28i 0.451185 + 1.14960i
\(241\) −5803.58 + 3956.82i −1.55121 + 1.05760i −0.581436 + 0.813592i \(0.697509\pi\)
−0.969774 + 0.244005i \(0.921539\pi\)
\(242\) 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 −0.968062 0.250712i \(-0.919335\pi\)
0.701154 + 0.713010i \(0.252669\pi\)
\(252\) 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 0.0277261 0.999616i \(-0.491173\pi\)
−0.920386 + 0.391010i \(0.872126\pi\)
\(264\) −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 0.975863 + 0.218384i \(0.0700786\pi\)
−0.784469 + 0.620169i \(0.787064\pi\)
\(270\) −3927.77 + 10007.8i −0.885321 + 2.25576i
\(271\) 275.284 3673.41i 0.0617059 0.823408i −0.877395 0.479768i \(-0.840721\pi\)
0.939101 0.343640i \(-0.111660\pi\)
\(272\) 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 −0.759003 0.651087i \(-0.774313\pi\)
−0.260348 + 0.965515i \(0.583837\pi\)
\(278\) 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 −0.663446 0.748224i \(-0.730907\pi\)
0.696553 + 0.717506i \(0.254716\pi\)
\(282\) −4425.72 + 1365.15i −0.934567 + 0.288276i
\(283\) −1014.19 2584.11i −0.213029 0.542788i 0.783919 0.620863i \(-0.213218\pi\)
−0.996947 + 0.0780751i \(0.975123\pi\)
\(284\) −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 0.333339 0.942807i \(-0.391824\pi\)
0.944950 + 0.327215i \(0.106110\pi\)
\(294\) 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 0.984539 0.175167i \(-0.0560465\pi\)
−0.643968 + 0.765052i \(0.722713\pi\)
\(308\) −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 −0.780741 0.624855i \(-0.785158\pi\)
0.678891 0.734239i \(-0.262461\pi\)
\(312\) −2256.20 9885.07i −0.409398 1.79369i
\(313\) −2321.81 + 5915.87i −0.419285 + 1.06832i 0.552721 + 0.833367i \(0.313590\pi\)
−0.972006 + 0.234955i \(0.924506\pi\)
\(314\) 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 0.229376 0.973338i \(-0.426331\pi\)
−0.617972 + 0.786200i \(0.712046\pi\)
\(318\) 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 0.969864 + 0.243646i \(0.0783435\pi\)
−0.995345 + 0.0963739i \(0.969276\pi\)
\(332\) −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 −0.401998 0.915640i \(-0.631684\pi\)
0.993967 0.109680i \(-0.0349825\pi\)
\(338\) −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 0.165108 0.986275i \(-0.447203\pi\)
−0.132937 + 0.991125i \(0.542441\pi\)
\(348\) 3093.94 13555.4i 0.476588 2.08807i
\(349\) 6595.15 + 4496.49i 1.01155 + 0.689661i 0.951219 0.308517i \(-0.0998328\pi\)
0.0603286 + 0.998179i \(0.480785\pi\)
\(350\) 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 −0.444499 0.895779i \(-0.646618\pi\)
−0.871873 + 0.489732i \(0.837095\pi\)
\(354\) 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 0.948819 0.315821i \(-0.102280\pi\)
−0.244033 + 0.969767i \(0.578471\pi\)
\(360\) 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 −0.966401 0.257039i \(-0.917253\pi\)
0.184101 + 0.982907i \(0.441063\pi\)
\(368\) −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 −0.165030 0.986289i \(-0.552772\pi\)
0.133015 + 0.991114i \(0.457534\pi\)
\(374\) 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 −0.820004 0.572358i \(-0.806029\pi\)
−0.0637764 + 0.997964i \(0.520314\pi\)
\(380\) 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 −0.718422 0.695608i \(-0.755135\pi\)
0.949088 0.315010i \(-0.102008\pi\)
\(384\) −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 0.994279 0.106814i \(-0.0340649\pi\)
−0.325384 + 0.945582i \(0.605494\pi\)
\(390\) 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 −0.889021 0.457867i \(-0.848614\pi\)
0.810850 0.585255i \(-0.199005\pi\)
\(398\) −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 0.764897 0.644153i \(-0.222790\pi\)
0.920782 + 0.390078i \(0.127552\pi\)
\(402\) 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 −0.0204155 + 0.999792i \(0.506499\pi\)
−0.970182 + 0.242378i \(0.922073\pi\)
\(410\) −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 0.976676 + 0.214718i \(0.0688831\pi\)
−0.786792 + 0.617218i \(0.788260\pi\)
\(420\) −2786.58 37184.3i −0.323741 4.32002i
\(421\) 14373.4 + 4433.62i 1.66394 + 0.513258i 0.976961 0.213419i \(-0.0684598\pi\)
0.686980 + 0.726676i \(0.258936\pi\)
\(422\) −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 0.0557081 0.998447i \(-0.482258\pi\)
−0.241064 + 0.970509i \(0.577496\pi\)
\(434\) 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 0.930018 0.367514i \(-0.119791\pi\)
0.561389 + 0.827552i \(0.310267\pi\)
\(440\) 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 0.987347 + 0.158577i \(0.0506907\pi\)
−0.999953 + 0.00964964i \(0.996928\pi\)
\(444\) −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 0.246967 0.969024i \(-0.420566\pi\)
0.749924 + 0.661524i \(0.230090\pi\)
\(450\) −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 −0.984425 0.175808i \(-0.943746\pi\)
−0.751231 0.660040i \(-0.770539\pi\)
\(458\) −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 −0.885009 0.465574i \(-0.845848\pi\)
0.965428 + 0.260669i \(0.0839433\pi\)
\(462\) 2143.86 + 9392.85i 0.215890 + 0.945877i
\(463\) −207.320 2766.49i −0.0208099 0.277689i −0.997896 0.0648422i \(-0.979346\pi\)
0.977086 0.212847i \(-0.0682734\pi\)
\(464\) 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 0.951304 0.308254i \(-0.0997446\pi\)
−0.742608 + 0.669727i \(0.766411\pi\)
\(468\) −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 −0.886317 0.463080i \(-0.846744\pi\)
0.0421196 0.999113i \(-0.486589\pi\)
\(480\) 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 −0.820752 0.571285i \(-0.806445\pi\)
−0.615899 + 0.787825i \(0.711207\pi\)
\(488\) −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 0.779552 + 0.626337i \(0.215447\pi\)
−0.145435 + 0.989368i \(0.546458\pi\)
\(492\) 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 −0.785884 0.618374i \(-0.787792\pi\)
0.288512 + 0.957476i \(0.406839\pi\)
\(500\) 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 0.899768 + 0.436369i \(0.143736\pi\)
−0.954755 + 0.297392i \(0.903883\pi\)
\(504\) −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 −0.804643 0.593759i \(-0.797643\pi\)
0.916532 + 0.399962i \(0.130977\pi\)
\(510\) 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 0.904970 0.425475i \(-0.139893\pi\)
−0.0654407 + 0.997856i \(0.520845\pi\)
\(522\) −477.324 826.749i −0.0400228 0.0693215i
\(523\) 3671.83 6359.79i 0.306994 0.531729i −0.670709 0.741720i \(-0.734010\pi\)
0.977703 + 0.209991i \(0.0673436\pi\)
\(524\) 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 1.00000 0.000930218i \(0.000296098\pi\)
−0.732419 + 0.680854i \(0.761609\pi\)
\(542\) 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 −0.981788 0.189980i \(-0.939158\pi\)
0.848921 + 0.528520i \(0.177253\pi\)
\(548\) −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 0.995245 0.0974069i \(-0.0310548\pi\)
−0.316427 + 0.948617i \(0.602483\pi\)
\(558\) 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 −0.939321 0.343040i \(-0.888543\pi\)
0.995138 + 0.0984877i \(0.0314005\pi\)
\(564\) −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 0.927279 + 0.374370i \(0.122141\pi\)
−0.861126 + 0.508392i \(0.830240\pi\)
\(570\) −973.179 4263.78i −0.0715123 0.313316i
\(571\) −1456.02 + 3709.88i −0.106712 + 0.271898i −0.974249 0.225475i \(-0.927607\pi\)
0.867537 + 0.497373i \(0.165702\pi\)
\(572\) 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 −0.996318 0.0857350i \(-0.972676\pi\)
0.672038 0.740517i \(-0.265419\pi\)
\(578\) 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 0.623360 0.781935i \(-0.285767\pi\)
−0.733165 + 0.680051i \(0.761957\pi\)
\(588\) 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 −0.268285 0.963340i \(-0.586457\pi\)
−0.764336 + 0.644818i \(0.776933\pi\)
\(594\) 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 0.205821 0.978590i \(-0.434014\pi\)
−0.0917675 + 0.995780i \(0.529252\pi\)
\(600\) −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 −0.0390328 0.999238i \(-0.512428\pi\)
−0.944425 + 0.328728i \(0.893380\pi\)
\(608\) 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 0.976167 + 0.217021i \(0.0696339\pi\)
−0.785334 + 0.619072i \(0.787509\pi\)
\(614\) −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 0.943446 0.331527i \(-0.107564\pi\)
−0.260096 + 0.965583i \(0.583754\pi\)
\(618\) 15425.0 + 7428.28i 1.00402 + 0.483510i
\(619\) −16682.8 + 11374.2i −1.08326 + 0.738556i −0.967029 0.254666i \(-0.918034\pi\)
−0.116233 + 0.993222i \(0.537082\pi\)
\(620\) −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 0.403848 0.914826i \(-0.367672\pi\)
0.655556 + 0.755147i \(0.272434\pi\)
\(632\) −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 −0.697448 0.716635i \(-0.745681\pi\)
0.939316 0.343054i \(-0.111462\pi\)
\(642\) −20000.2 3014.55i −1.22951 0.185319i
\(643\) 14417.6 + 18079.1i 0.884251 + 1.10882i 0.993390 + 0.114790i \(0.0366194\pi\)
−0.109138 + 0.994027i \(0.534809\pi\)
\(644\) 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 0.937831 0.347092i \(-0.112831\pi\)
−0.547077 + 0.837082i \(0.684259\pi\)
\(648\) 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 0.315658 0.948873i \(-0.397775\pi\)
0.938669 + 0.344821i \(0.112060\pi\)
\(654\) 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 −0.691562 0.722317i \(-0.743077\pi\)
−0.447931 + 0.894068i \(0.647839\pi\)
\(660\) 13083.9 + 12140.0i 0.771649 + 0.715986i
\(661\) −28772.1 13855.9i −1.69305 0.815329i −0.995066 0.0992139i \(-0.968367\pi\)
−0.697982 0.716115i \(-0.745919\pi\)
\(662\) −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 −0.950174 0.311720i \(-0.899095\pi\)
−0.381855 0.924222i \(-0.624715\pi\)
\(674\) 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 0.903688 + 0.428191i \(0.140849\pi\)
−0.628410 + 0.777882i \(0.716294\pi\)
\(678\) 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 0.690471 0.723360i \(-0.257403\pi\)
−0.421099 + 0.907014i \(0.638356\pi\)
\(684\) −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 0.871985 0.489533i \(-0.162833\pi\)
0.688953 + 0.724806i \(0.258071\pi\)
\(692\) −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 −0.882511 0.470292i \(-0.844148\pi\)
0.942747 0.333508i \(-0.108232\pi\)
\(702\) 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 −0.713412 0.700745i \(-0.752851\pi\)
0.841925 + 0.539595i \(0.181423\pi\)
\(710\) 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 −0.189461 0.981888i \(-0.560674\pi\)
0.806738 0.590909i \(-0.201231\pi\)
\(720\) 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 −0.674069 0.738668i \(-0.735455\pi\)
0.927811 0.373050i \(-0.121688\pi\)
\(728\) −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 0.642188 0.766547i \(-0.278027\pi\)
−0.890229 + 0.455514i \(0.849456\pi\)
\(734\) −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 −0.824674 0.565608i \(-0.808642\pi\)
−0.0719661 + 0.997407i \(0.522927\pi\)
\(740\) 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 −0.366780 0.930308i \(-0.619540\pi\)
0.901639 0.432490i \(-0.142365\pi\)
\(744\) −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 −0.337925 0.941173i \(-0.609725\pi\)
0.913288 + 0.407314i \(0.133535\pi\)
\(752\) 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 0.571875 0.820340i \(-0.306216\pi\)
0.972563 0.232640i \(-0.0747363\pi\)
\(758\) −31648.7 15241.2i −1.51654 0.730325i