Properties

Label 38.4.e.a.17.2
Level $38$
Weight $4$
Character 38.17
Analytic conductor $2.242$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 38 = 2 \cdot 19 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 38.e (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.24207258022\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(2\) over \(\Q(\zeta_{9})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - 6 x^{11} - 135 x^{10} + 730 x^{9} + 7953 x^{8} - 36258 x^{7} - 262940 x^{6} + 918855 x^{5} + 5157591 x^{4} - 11890401 x^{3} - 56759508 x^{2} + 62864118 x + 272110107\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 17.2
Root \(-4.30460 + 0.984808i\) of defining polynomial
Character \(\chi\) \(=\) 38.17
Dual form 38.4.e.a.9.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 - 1.96962i) q^{2} +(2.93054 + 2.45902i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(14.2818 - 5.19813i) q^{5} +(5.86108 - 4.91803i) q^{6} +(-0.806634 - 1.39713i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.14719 - 12.1773i) q^{9} +O(q^{10})\) \(q+(0.347296 - 1.96962i) q^{2} +(2.93054 + 2.45902i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(14.2818 - 5.19813i) q^{5} +(5.86108 - 4.91803i) q^{6} +(-0.806634 - 1.39713i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.14719 - 12.1773i) q^{9} +(-5.27832 - 29.9349i) q^{10} +(-19.2603 + 33.3598i) q^{11} +(-7.65110 - 13.2521i) q^{12} +(-3.06062 + 2.56816i) q^{13} +(-3.03195 + 1.10354i) q^{14} +(54.6355 + 19.8857i) q^{15} +(12.2567 + 10.2846i) q^{16} +(-15.5204 + 88.0204i) q^{17} -24.7304 q^{18} +(-77.1453 + 30.1265i) q^{19} -60.7933 q^{20} +(1.07169 - 6.07787i) q^{21} +(59.0169 + 49.5211i) q^{22} +(-63.4335 - 23.0879i) q^{23} +(-28.7587 + 10.4673i) q^{24} +(81.1923 - 68.1284i) q^{25} +(3.99535 + 6.92015i) q^{26} +(75.2967 - 130.418i) q^{27} +(1.12056 + 6.35503i) q^{28} +(-46.2659 - 262.387i) q^{29} +(58.1419 - 100.705i) q^{30} +(95.4652 + 165.351i) q^{31} +(24.5134 - 20.5692i) q^{32} +(-138.475 + 50.4009i) q^{33} +(167.976 + 61.1383i) q^{34} +(-18.7826 - 15.7605i) q^{35} +(-8.58876 + 48.7093i) q^{36} +137.719 q^{37} +(32.5453 + 162.409i) q^{38} -15.2844 q^{39} +(-21.1133 + 119.739i) q^{40} +(-189.962 - 159.397i) q^{41} +(-11.5989 - 4.22164i) q^{42} +(260.732 - 94.8987i) q^{43} +(118.034 - 99.0422i) q^{44} +(-93.9650 - 162.752i) q^{45} +(-67.5045 + 116.921i) q^{46} +(64.1805 + 363.985i) q^{47} +(10.6288 + 60.2789i) q^{48} +(170.199 - 294.793i) q^{49} +(-105.989 - 183.578i) q^{50} +(-261.927 + 219.782i) q^{51} +(15.0176 - 5.46596i) q^{52} +(-383.283 - 139.504i) q^{53} +(-230.722 - 193.599i) q^{54} +(-101.662 + 576.554i) q^{55} +12.9061 q^{56} +(-300.159 - 101.414i) q^{57} -532.869 q^{58} +(-102.217 + 579.700i) q^{59} +(-178.157 - 149.492i) q^{60} +(757.876 + 275.844i) q^{61} +(358.832 - 130.604i) q^{62} +(-15.2813 + 12.8225i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(-30.3613 + 52.5873i) q^{65} +(51.1784 + 290.247i) q^{66} +(-35.5080 - 201.376i) q^{67} +(178.756 - 309.615i) q^{68} +(-129.121 - 223.644i) q^{69} +(-37.5652 + 31.5210i) q^{70} +(671.014 - 244.229i) q^{71} +(92.9558 + 33.8331i) q^{72} +(81.6202 + 68.4875i) q^{73} +(47.8293 - 271.253i) q^{74} +405.466 q^{75} +(331.187 - 7.69764i) q^{76} +62.1440 q^{77} +(-5.30822 + 30.1044i) q^{78} +(-393.010 - 329.775i) q^{79} +(228.508 + 83.1701i) q^{80} +(227.633 - 82.8518i) q^{81} +(-379.924 + 318.794i) q^{82} +(-439.020 - 760.404i) q^{83} +(-12.3433 + 21.3792i) q^{84} +(235.884 + 1337.76i) q^{85} +(-96.3626 - 546.500i) q^{86} +(509.629 - 882.704i) q^{87} +(-154.082 - 266.878i) q^{88} +(362.075 - 303.817i) q^{89} +(-353.193 + 128.552i) q^{90} +(6.05685 + 2.20451i) q^{91} +(206.846 + 173.564i) q^{92} +(-126.835 + 719.317i) q^{93} +739.201 q^{94} +(-945.168 + 831.271i) q^{95} +122.418 q^{96} +(285.092 - 1616.84i) q^{97} +(-521.519 - 437.606i) q^{98} +(447.589 + 162.909i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} + O(q^{10}) \) \( 12q - 9q^{3} - 18q^{6} + 21q^{7} - 48q^{8} - 27q^{9} - 9q^{11} + 36q^{12} + 39q^{13} - 138q^{14} + 423q^{15} + 69q^{17} + 132q^{18} - 462q^{19} - 216q^{20} - 279q^{21} + 204q^{22} - 66q^{23} - 72q^{24} + 342q^{25} + 48q^{26} + 189q^{27} + 192q^{28} + 159q^{29} + 72q^{31} - 1560q^{33} + 408q^{34} - 135q^{35} - 108q^{36} + 1116q^{37} - 294q^{38} - 1248q^{39} + 147q^{41} + 414q^{42} - 117q^{43} + 408q^{44} + 1296q^{45} + 528q^{46} + 783q^{47} + 288q^{48} + 1413q^{49} - 354q^{50} - 2301q^{51} - 348q^{52} - 249q^{53} - 540q^{54} + 2187q^{55} - 336q^{56} - 2670q^{57} - 1932q^{58} - 4248q^{59} + 324q^{60} + 3114q^{61} - 438q^{62} + 363q^{63} - 384q^{64} + 495q^{65} + 822q^{66} + 3060q^{67} + 408q^{68} - 237q^{69} - 270q^{70} + 1686q^{71} + 432q^{72} + 1626q^{73} + 90q^{74} - 1854q^{75} - 1416q^{77} - 108q^{78} - 327q^{79} + 3483q^{81} + 294q^{82} + 927q^{83} + 204q^{84} - 3294q^{85} + 1188q^{86} + 2892q^{87} - 72q^{88} - 6366q^{89} - 5076q^{90} + 840q^{91} - 156q^{92} + 870q^{93} + 3432q^{94} + 513q^{95} - 576q^{96} - 8052q^{97} + 378q^{98} + 4494q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).

\(n\) \(21\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 1.96962i 0.122788 0.696364i
\(3\) 2.93054 + 2.45902i 0.563983 + 0.473238i 0.879643 0.475635i \(-0.157782\pi\)
−0.315660 + 0.948872i \(0.602226\pi\)
\(4\) −3.75877 1.36808i −0.469846 0.171010i
\(5\) 14.2818 5.19813i 1.27740 0.464935i 0.387828 0.921732i \(-0.373226\pi\)
0.889571 + 0.456797i \(0.151003\pi\)
\(6\) 5.86108 4.91803i 0.398796 0.334630i
\(7\) −0.806634 1.39713i −0.0435541 0.0754379i 0.843427 0.537245i \(-0.180535\pi\)
−0.886981 + 0.461807i \(0.847201\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) −2.14719 12.1773i −0.0795256 0.451012i
\(10\) −5.27832 29.9349i −0.166915 0.946623i
\(11\) −19.2603 + 33.3598i −0.527927 + 0.914396i 0.471543 + 0.881843i \(0.343697\pi\)
−0.999470 + 0.0325530i \(0.989636\pi\)
\(12\) −7.65110 13.2521i −0.184057 0.318796i
\(13\) −3.06062 + 2.56816i −0.0652971 + 0.0547908i −0.674852 0.737953i \(-0.735793\pi\)
0.609555 + 0.792744i \(0.291348\pi\)
\(14\) −3.03195 + 1.10354i −0.0578802 + 0.0210667i
\(15\) 54.6355 + 19.8857i 0.940456 + 0.342298i
\(16\) 12.2567 + 10.2846i 0.191511 + 0.160697i
\(17\) −15.5204 + 88.0204i −0.221426 + 1.25577i 0.647975 + 0.761662i \(0.275616\pi\)
−0.869401 + 0.494108i \(0.835495\pi\)
\(18\) −24.7304 −0.323833
\(19\) −77.1453 + 30.1265i −0.931492 + 0.363763i
\(20\) −60.7933 −0.679690
\(21\) 1.07169 6.07787i 0.0111363 0.0631571i
\(22\) 59.0169 + 49.5211i 0.571930 + 0.479906i
\(23\) −63.4335 23.0879i −0.575078 0.209311i 0.0380759 0.999275i \(-0.487877\pi\)
−0.613154 + 0.789964i \(0.710099\pi\)
\(24\) −28.7587 + 10.4673i −0.244598 + 0.0890263i
\(25\) 81.1923 68.1284i 0.649538 0.545027i
\(26\) 3.99535 + 6.92015i 0.0301366 + 0.0521982i
\(27\) 75.2967 130.418i 0.536698 0.929589i
\(28\) 1.12056 + 6.35503i 0.00756309 + 0.0428924i
\(29\) −46.2659 262.387i −0.296254 1.68014i −0.662062 0.749449i \(-0.730319\pi\)
0.365808 0.930690i \(-0.380793\pi\)
\(30\) 58.1419 100.705i 0.353840 0.612870i
\(31\) 95.4652 + 165.351i 0.553098 + 0.957994i 0.998049 + 0.0624392i \(0.0198880\pi\)
−0.444950 + 0.895555i \(0.646779\pi\)
\(32\) 24.5134 20.5692i 0.135419 0.113630i
\(33\) −138.475 + 50.4009i −0.730468 + 0.265869i
\(34\) 167.976 + 61.1383i 0.847284 + 0.308386i
\(35\) −18.7826 15.7605i −0.0907097 0.0761145i
\(36\) −8.58876 + 48.7093i −0.0397628 + 0.225506i
\(37\) 137.719 0.611915 0.305957 0.952045i \(-0.401023\pi\)
0.305957 + 0.952045i \(0.401023\pi\)
\(38\) 32.5453 + 162.409i 0.138936 + 0.693323i
\(39\) −15.2844 −0.0627555
\(40\) −21.1133 + 119.739i −0.0834576 + 0.473312i
\(41\) −189.962 159.397i −0.723587 0.607161i 0.204788 0.978806i \(-0.434349\pi\)
−0.928375 + 0.371645i \(0.878794\pi\)
\(42\) −11.5989 4.22164i −0.0426130 0.0155099i
\(43\) 260.732 94.8987i 0.924680 0.336556i 0.164581 0.986364i \(-0.447373\pi\)
0.760099 + 0.649807i \(0.225150\pi\)
\(44\) 118.034 99.0422i 0.404415 0.339345i
\(45\) −93.9650 162.752i −0.311277 0.539148i
\(46\) −67.5045 + 116.921i −0.216369 + 0.374763i
\(47\) 64.1805 + 363.985i 0.199185 + 1.12963i 0.906332 + 0.422566i \(0.138871\pi\)
−0.707147 + 0.707066i \(0.750018\pi\)
\(48\) 10.6288 + 60.2789i 0.0319611 + 0.181261i
\(49\) 170.199 294.793i 0.496206 0.859454i
\(50\) −105.989 183.578i −0.299782 0.519238i
\(51\) −261.927 + 219.782i −0.719158 + 0.603445i
\(52\) 15.0176 5.46596i 0.0400494 0.0145768i
\(53\) −383.283 139.504i −0.993358 0.361553i −0.206338 0.978481i \(-0.566155\pi\)
−0.787019 + 0.616928i \(0.788377\pi\)
\(54\) −230.722 193.599i −0.581432 0.487880i
\(55\) −101.662 + 576.554i −0.249238 + 1.41350i
\(56\) 12.9061 0.0307974
\(57\) −300.159 101.414i −0.697491 0.235661i
\(58\) −532.869 −1.20637
\(59\) −102.217 + 579.700i −0.225551 + 1.27916i 0.636079 + 0.771624i \(0.280555\pi\)
−0.861630 + 0.507538i \(0.830556\pi\)
\(60\) −178.157 149.492i −0.383333 0.321655i
\(61\) 757.876 + 275.844i 1.59076 + 0.578988i 0.977507 0.210902i \(-0.0676401\pi\)
0.613249 + 0.789890i \(0.289862\pi\)
\(62\) 358.832 130.604i 0.735027 0.267528i
\(63\) −15.2813 + 12.8225i −0.0305598 + 0.0256427i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) −30.3613 + 52.5873i −0.0579363 + 0.100349i
\(66\) 51.1784 + 290.247i 0.0954488 + 0.541317i
\(67\) −35.5080 201.376i −0.0647461 0.367194i −0.999916 0.0129929i \(-0.995864\pi\)
0.935169 0.354201i \(-0.115247\pi\)
\(68\) 178.756 309.615i 0.318785 0.552153i
\(69\) −129.121 223.644i −0.225280 0.390196i
\(70\) −37.5652 + 31.5210i −0.0641415 + 0.0538211i
\(71\) 671.014 244.229i 1.12162 0.408235i 0.286375 0.958118i \(-0.407550\pi\)
0.835242 + 0.549883i \(0.185328\pi\)
\(72\) 92.9558 + 33.8331i 0.152152 + 0.0553788i
\(73\) 81.6202 + 68.4875i 0.130862 + 0.109806i 0.705870 0.708342i \(-0.250556\pi\)
−0.575008 + 0.818148i \(0.695001\pi\)
\(74\) 47.8293 271.253i 0.0751357 0.426116i
\(75\) 405.466 0.624256
\(76\) 331.187 7.69764i 0.499865 0.0116182i
\(77\) 62.1440 0.0919735
\(78\) −5.30822 + 30.1044i −0.00770561 + 0.0437007i
\(79\) −393.010 329.775i −0.559710 0.469653i 0.318503 0.947922i \(-0.396820\pi\)
−0.878213 + 0.478269i \(0.841264\pi\)
\(80\) 228.508 + 83.1701i 0.319350 + 0.116234i
\(81\) 227.633 82.8518i 0.312254 0.113651i
\(82\) −379.924 + 318.794i −0.511653 + 0.429328i
\(83\) −439.020 760.404i −0.580586 1.00561i −0.995410 0.0957033i \(-0.969490\pi\)
0.414823 0.909902i \(-0.363843\pi\)
\(84\) −12.3433 + 21.3792i −0.0160329 + 0.0277697i
\(85\) 235.884 + 1337.76i 0.301002 + 1.70707i
\(86\) −96.3626 546.500i −0.120826 0.685239i
\(87\) 509.629 882.704i 0.628023 1.08777i
\(88\) −154.082 266.878i −0.186650 0.323288i
\(89\) 362.075 303.817i 0.431234 0.361848i −0.401183 0.915998i \(-0.631401\pi\)
0.832417 + 0.554149i \(0.186956\pi\)
\(90\) −353.193 + 128.552i −0.413664 + 0.150562i
\(91\) 6.05685 + 2.20451i 0.00697726 + 0.00253952i
\(92\) 206.846 + 173.564i 0.234404 + 0.196688i
\(93\) −126.835 + 719.317i −0.141421 + 0.802039i
\(94\) 739.201 0.811093
\(95\) −945.168 + 831.271i −1.02076 + 0.897753i
\(96\) 122.418 0.130148
\(97\) 285.092 1616.84i 0.298419 1.69242i −0.354551 0.935037i \(-0.615366\pi\)
0.652970 0.757384i \(-0.273523\pi\)
\(98\) −521.519 437.606i −0.537565 0.451071i
\(99\) 447.589 + 162.909i 0.454387 + 0.165383i
\(100\) −398.388 + 145.002i −0.398388 + 0.145002i
\(101\) −1242.95 + 1042.96i −1.22454 + 1.02751i −0.225964 + 0.974136i \(0.572553\pi\)
−0.998575 + 0.0533740i \(0.983002\pi\)
\(102\) 341.921 + 592.224i 0.331914 + 0.574891i
\(103\) 49.5297 85.7879i 0.0473816 0.0820673i −0.841362 0.540472i \(-0.818246\pi\)
0.888744 + 0.458405i \(0.151579\pi\)
\(104\) −5.55028 31.4772i −0.00523317 0.0296788i
\(105\) −16.2879 92.3734i −0.0151385 0.0858545i
\(106\) −407.881 + 706.471i −0.373744 + 0.647344i
\(107\) −850.648 1473.37i −0.768554 1.33117i −0.938347 0.345695i \(-0.887643\pi\)
0.169793 0.985480i \(-0.445690\pi\)
\(108\) −461.445 + 387.198i −0.411135 + 0.344983i
\(109\) −1142.28 + 415.758i −1.00377 + 0.365343i −0.791038 0.611768i \(-0.790459\pi\)
−0.212733 + 0.977110i \(0.568237\pi\)
\(110\) 1100.28 + 400.470i 0.953707 + 0.347121i
\(111\) 403.591 + 338.653i 0.345109 + 0.289581i
\(112\) 4.48225 25.4201i 0.00378155 0.0214462i
\(113\) 1228.73 1.02291 0.511457 0.859309i \(-0.329106\pi\)
0.511457 + 0.859309i \(0.329106\pi\)
\(114\) −303.992 + 555.977i −0.249749 + 0.456772i
\(115\) −1025.95 −0.831920
\(116\) −185.064 + 1049.55i −0.148127 + 0.840069i
\(117\) 37.8451 + 31.7558i 0.0299041 + 0.0250925i
\(118\) 1106.29 + 402.655i 0.863067 + 0.314131i
\(119\) 135.495 49.3162i 0.104377 0.0379900i
\(120\) −356.314 + 298.983i −0.271057 + 0.227444i
\(121\) −76.4170 132.358i −0.0574132 0.0994427i
\(122\) 806.515 1396.92i 0.598512 1.03665i
\(123\) −164.731 934.238i −0.120759 0.684857i
\(124\) −132.619 752.119i −0.0960445 0.544696i
\(125\) −144.468 + 250.225i −0.103373 + 0.179047i
\(126\) 19.9483 + 34.5515i 0.0141043 + 0.0244293i
\(127\) −442.286 + 371.122i −0.309028 + 0.259305i −0.784090 0.620647i \(-0.786870\pi\)
0.475062 + 0.879952i \(0.342426\pi\)
\(128\) −120.281 + 43.7786i −0.0830579 + 0.0302306i
\(129\) 997.443 + 363.039i 0.680775 + 0.247782i
\(130\) 93.0325 + 78.0635i 0.0627653 + 0.0526663i
\(131\) −459.283 + 2604.72i −0.306319 + 1.73722i 0.310913 + 0.950438i \(0.399365\pi\)
−0.617232 + 0.786781i \(0.711746\pi\)
\(132\) 589.449 0.388674
\(133\) 104.319 + 83.4810i 0.0680118 + 0.0544264i
\(134\) −408.965 −0.263651
\(135\) 397.440 2254.00i 0.253379 1.43699i
\(136\) −547.742 459.610i −0.345356 0.289788i
\(137\) −397.518 144.685i −0.247899 0.0902280i 0.215082 0.976596i \(-0.430998\pi\)
−0.462981 + 0.886368i \(0.653220\pi\)
\(138\) −485.336 + 176.648i −0.299380 + 0.108966i
\(139\) 1055.16 885.385i 0.643867 0.540269i −0.261336 0.965248i \(-0.584163\pi\)
0.905203 + 0.424979i \(0.139719\pi\)
\(140\) 49.0379 + 84.9361i 0.0296033 + 0.0512744i
\(141\) −706.962 + 1224.49i −0.422248 + 0.731355i
\(142\) −247.997 1406.46i −0.146559 0.831180i
\(143\) −26.7250 151.565i −0.0156284 0.0886329i
\(144\) 98.9214 171.337i 0.0572462 0.0991533i
\(145\) −2024.68 3506.85i −1.15959 2.00847i
\(146\) 163.240 136.975i 0.0925334 0.0776448i
\(147\) 1223.67 445.381i 0.686578 0.249894i
\(148\) −517.654 188.411i −0.287506 0.104644i
\(149\) 2633.00 + 2209.35i 1.44768 + 1.21475i 0.934252 + 0.356613i \(0.116068\pi\)
0.513426 + 0.858134i \(0.328376\pi\)
\(150\) 140.817 798.612i 0.0766510 0.434709i
\(151\) 968.182 0.521785 0.260892 0.965368i \(-0.415983\pi\)
0.260892 + 0.965368i \(0.415983\pi\)
\(152\) 99.8586 654.984i 0.0532869 0.349515i
\(153\) 1105.18 0.583976
\(154\) 21.5824 122.400i 0.0112932 0.0640471i
\(155\) 2222.92 + 1865.25i 1.15193 + 0.966586i
\(156\) 57.4506 + 20.9103i 0.0294854 + 0.0107318i
\(157\) 1576.54 573.812i 0.801409 0.291689i 0.0913388 0.995820i \(-0.470885\pi\)
0.710070 + 0.704131i \(0.248663\pi\)
\(158\) −786.021 + 659.550i −0.395775 + 0.332095i
\(159\) −780.184 1351.32i −0.389136 0.674004i
\(160\) 243.173 421.188i 0.120153 0.208112i
\(161\) 18.9108 + 107.248i 0.00925700 + 0.0524991i
\(162\) −84.1299 477.124i −0.0408017 0.231398i
\(163\) 437.165 757.192i 0.210070 0.363852i −0.741666 0.670769i \(-0.765964\pi\)
0.951736 + 0.306917i \(0.0992975\pi\)
\(164\) 495.955 + 859.020i 0.236144 + 0.409013i
\(165\) −1715.68 + 1439.63i −0.809487 + 0.679241i
\(166\) −1650.17 + 600.614i −0.771556 + 0.280824i
\(167\) −2527.16 919.810i −1.17100 0.426210i −0.317986 0.948095i \(-0.603007\pi\)
−0.853016 + 0.521885i \(0.825229\pi\)
\(168\) 37.8219 + 31.7364i 0.0173692 + 0.0145745i
\(169\) −378.733 + 2147.90i −0.172386 + 0.977652i
\(170\) 2716.80 1.22570
\(171\) 532.506 + 874.736i 0.238139 + 0.391186i
\(172\) −1109.86 −0.492012
\(173\) −315.297 + 1788.14i −0.138564 + 0.785837i 0.833747 + 0.552147i \(0.186191\pi\)
−0.972311 + 0.233690i \(0.924920\pi\)
\(174\) −1561.59 1310.33i −0.680369 0.570897i
\(175\) −160.677 58.4815i −0.0694058 0.0252616i
\(176\) −579.160 + 210.797i −0.248044 + 0.0902808i
\(177\) −1725.04 + 1447.48i −0.732554 + 0.614686i
\(178\) −472.655 818.662i −0.199028 0.344727i
\(179\) 186.205 322.517i 0.0777521 0.134671i −0.824528 0.565822i \(-0.808559\pi\)
0.902280 + 0.431151i \(0.141892\pi\)
\(180\) 130.535 + 740.300i 0.0540527 + 0.306548i
\(181\) 373.294 + 2117.06i 0.153297 + 0.869389i 0.960326 + 0.278878i \(0.0899626\pi\)
−0.807030 + 0.590511i \(0.798926\pi\)
\(182\) 6.44557 11.1641i 0.00262515 0.00454689i
\(183\) 1542.68 + 2672.00i 0.623160 + 1.07934i
\(184\) 413.691 347.128i 0.165749 0.139080i
\(185\) 1966.87 715.881i 0.781659 0.284501i
\(186\) 1372.73 + 499.632i 0.541147 + 0.196961i
\(187\) −2637.41 2213.05i −1.03137 0.865425i
\(188\) 256.722 1455.94i 0.0995924 0.564816i
\(189\) −242.947 −0.0935017
\(190\) 1309.03 + 2150.32i 0.499826 + 0.821054i
\(191\) −3291.72 −1.24702 −0.623509 0.781816i \(-0.714293\pi\)
−0.623509 + 0.781816i \(0.714293\pi\)
\(192\) 42.5152 241.115i 0.0159806 0.0906303i
\(193\) −321.207 269.525i −0.119798 0.100522i 0.580921 0.813960i \(-0.302693\pi\)
−0.700718 + 0.713438i \(0.747137\pi\)
\(194\) −3085.53 1123.04i −1.14190 0.415617i
\(195\) −218.288 + 79.4504i −0.0801638 + 0.0291772i
\(196\) −1043.04 + 875.213i −0.380116 + 0.318955i
\(197\) −1017.65 1762.63i −0.368044 0.637471i 0.621215 0.783640i \(-0.286639\pi\)
−0.989260 + 0.146168i \(0.953306\pi\)
\(198\) 476.314 825.000i 0.170960 0.296112i
\(199\) −440.599 2498.76i −0.156951 0.890114i −0.956980 0.290153i \(-0.906294\pi\)
0.800029 0.599961i \(-0.204817\pi\)
\(200\) 147.238 + 835.030i 0.0520566 + 0.295228i
\(201\) 391.129 677.454i 0.137254 0.237731i
\(202\) 1622.56 + 2810.35i 0.565163 + 0.978890i
\(203\) −329.269 + 276.290i −0.113843 + 0.0955257i
\(204\) 1285.20 467.775i 0.441089 0.160543i
\(205\) −3541.55 1289.02i −1.20660 0.439166i
\(206\) −151.768 127.348i −0.0513309 0.0430717i
\(207\) −144.945 + 822.024i −0.0486685 + 0.276013i
\(208\) −63.9256 −0.0213098
\(209\) 480.826 3153.80i 0.159136 1.04379i
\(210\) −187.597 −0.0616448
\(211\) −230.987 + 1309.99i −0.0753639 + 0.427410i 0.923659 + 0.383215i \(0.125183\pi\)
−0.999023 + 0.0441946i \(0.985928\pi\)
\(212\) 1249.82 + 1048.72i 0.404896 + 0.339748i
\(213\) 2567.00 + 934.311i 0.825764 + 0.300554i
\(214\) −3197.39 + 1163.76i −1.02135 + 0.371742i
\(215\) 3230.41 2710.64i 1.02471 0.859832i
\(216\) 602.374 + 1043.34i 0.189752 + 0.328659i
\(217\) 154.011 266.755i 0.0481794 0.0834492i
\(218\) 422.171 + 2394.25i 0.131161 + 0.743850i
\(219\) 70.7796 + 401.411i 0.0218394 + 0.123858i
\(220\) 1170.90 2028.05i 0.358826 0.621505i
\(221\) −178.549 309.255i −0.0543461 0.0941302i
\(222\) 807.182 677.306i 0.244029 0.204765i
\(223\) 2738.39 996.691i 0.822314 0.299298i 0.103613 0.994618i \(-0.466960\pi\)
0.718700 + 0.695320i \(0.244737\pi\)
\(224\) −48.5112 17.6566i −0.0144700 0.00526667i
\(225\) −1003.96 842.420i −0.297469 0.249606i
\(226\) 426.734 2420.13i 0.125601 0.712321i
\(227\) −808.460 −0.236385 −0.118192 0.992991i \(-0.537710\pi\)
−0.118192 + 0.992991i \(0.537710\pi\)
\(228\) 989.485 + 791.835i 0.287413 + 0.230003i
\(229\) 4517.68 1.30365 0.651827 0.758368i \(-0.274003\pi\)
0.651827 + 0.758368i \(0.274003\pi\)
\(230\) −356.310 + 2020.74i −0.102150 + 0.579319i
\(231\) 182.115 + 152.813i 0.0518715 + 0.0435253i
\(232\) 2002.93 + 729.008i 0.566806 + 0.206301i
\(233\) 2974.86 1082.76i 0.836435 0.304437i 0.111938 0.993715i \(-0.464294\pi\)
0.724497 + 0.689278i \(0.242072\pi\)
\(234\) 75.6902 63.5116i 0.0211454 0.0177431i
\(235\) 2808.65 + 4864.73i 0.779644 + 1.35038i
\(236\) 1177.29 2039.12i 0.324724 0.562438i
\(237\) −340.811 1932.84i −0.0934096 0.529752i
\(238\) −50.0770 284.001i −0.0136387 0.0773489i
\(239\) −2186.52 + 3787.17i −0.591776 + 1.02499i 0.402217 + 0.915544i \(0.368240\pi\)
−0.993993 + 0.109442i \(0.965094\pi\)
\(240\) 465.135 + 805.638i 0.125101 + 0.216682i
\(241\) −2169.35 + 1820.30i −0.579836 + 0.486540i −0.884893 0.465794i \(-0.845769\pi\)
0.305057 + 0.952334i \(0.401324\pi\)
\(242\) −287.234 + 104.545i −0.0762980 + 0.0277702i
\(243\) −2949.99 1073.71i −0.778773 0.283450i
\(244\) −2471.31 2073.67i −0.648398 0.544071i
\(245\) 898.363 5094.87i 0.234263 1.32857i
\(246\) −1897.30 −0.491738
\(247\) 158.742 290.327i 0.0408929 0.0747898i
\(248\) −1527.44 −0.391100
\(249\) 583.281 3307.95i 0.148450 0.841899i
\(250\) 442.674 + 371.448i 0.111989 + 0.0939697i
\(251\) −1563.77 569.167i −0.393245 0.143130i 0.137827 0.990456i \(-0.455988\pi\)
−0.531072 + 0.847327i \(0.678211\pi\)
\(252\) 74.9812 27.2909i 0.0187435 0.00682209i
\(253\) 1991.95 1671.45i 0.494992 0.415348i
\(254\) 577.363 + 1000.02i 0.142626 + 0.247035i
\(255\) −2598.31 + 4500.41i −0.638088 + 1.10520i
\(256\) 44.4539 + 252.111i 0.0108530 + 0.0615505i
\(257\) −787.154 4464.17i −0.191056 1.08353i −0.917925 0.396754i \(-0.870137\pi\)
0.726869 0.686776i \(-0.240975\pi\)
\(258\) 1061.46 1838.50i 0.256137 0.443642i
\(259\) −111.089 192.411i −0.0266514 0.0461616i
\(260\) 186.065 156.127i 0.0443818 0.0372407i
\(261\) −3095.83 + 1126.79i −0.734203 + 0.267228i
\(262\) 4970.80 + 1809.22i 1.17213 + 0.426619i
\(263\) −240.295 201.631i −0.0563392 0.0472742i 0.614183 0.789163i \(-0.289486\pi\)
−0.670522 + 0.741889i \(0.733930\pi\)
\(264\) 204.714 1160.99i 0.0477244 0.270659i
\(265\) −6199.11 −1.43701
\(266\) 200.655 176.475i 0.0462516 0.0406781i
\(267\) 1808.16 0.414449
\(268\) −142.032 + 805.503i −0.0323731 + 0.183597i
\(269\) 2179.68 + 1828.97i 0.494042 + 0.414550i 0.855472 0.517849i \(-0.173267\pi\)
−0.361430 + 0.932399i \(0.617711\pi\)
\(270\) −4301.48 1565.61i −0.969553 0.352889i
\(271\) 3800.92 1383.42i 0.851990 0.310099i 0.121139 0.992636i \(-0.461345\pi\)
0.730851 + 0.682537i \(0.239123\pi\)
\(272\) −1095.48 + 919.220i −0.244204 + 0.204911i
\(273\) 12.3289 + 21.3543i 0.00273326 + 0.00473414i
\(274\) −423.030 + 732.709i −0.0932706 + 0.161549i
\(275\) 708.963 + 4020.73i 0.155462 + 0.881670i
\(276\) 179.373 + 1017.27i 0.0391195 + 0.221857i
\(277\) −3925.62 + 6799.37i −0.851507 + 1.47485i 0.0283408 + 0.999598i \(0.490978\pi\)
−0.879848 + 0.475255i \(0.842356\pi\)
\(278\) −1377.41 2385.75i −0.297165 0.514704i
\(279\) 1808.55 1517.55i 0.388082 0.325639i
\(280\) 184.322 67.0878i 0.0393406 0.0143188i
\(281\) −174.275 63.4310i −0.0369978 0.0134661i 0.323455 0.946244i \(-0.395156\pi\)
−0.360453 + 0.932777i \(0.617378\pi\)
\(282\) 2166.26 + 1817.71i 0.457443 + 0.383840i
\(283\) −888.369 + 5038.19i −0.186601 + 1.05827i 0.737280 + 0.675587i \(0.236110\pi\)
−0.923881 + 0.382679i \(0.875001\pi\)
\(284\) −2856.31 −0.596800
\(285\) −4813.96 + 111.889i −1.00054 + 0.0232552i
\(286\) −307.806 −0.0636398
\(287\) −69.4687 + 393.976i −0.0142878 + 0.0810303i
\(288\) −303.113 254.342i −0.0620177 0.0520390i
\(289\) −2890.00 1051.87i −0.588235 0.214100i
\(290\) −7610.31 + 2769.93i −1.54101 + 0.560881i
\(291\) 4811.30 4037.16i 0.969221 0.813273i
\(292\) −213.095 369.092i −0.0427071 0.0739708i
\(293\) −1789.16 + 3098.91i −0.356737 + 0.617886i −0.987414 0.158160i \(-0.949444\pi\)
0.630677 + 0.776045i \(0.282777\pi\)
\(294\) −452.252 2564.85i −0.0897138 0.508792i
\(295\) 1553.52 + 8810.47i 0.306609 + 1.73887i
\(296\) −550.876 + 954.145i −0.108172 + 0.187360i
\(297\) 2900.47 + 5023.76i 0.566675 + 0.981510i
\(298\) 5266.01 4418.71i 1.02366 0.858955i
\(299\) 253.439 92.2442i 0.0490192 0.0178415i
\(300\) −1524.05 554.710i −0.293304 0.106754i
\(301\) −342.901 287.728i −0.0656627 0.0550976i
\(302\) 336.246 1906.95i 0.0640688 0.363352i
\(303\) −6207.18 −1.17687
\(304\) −1255.39 424.157i −0.236847 0.0800232i
\(305\) 12257.7 2.30122
\(306\) 383.824 2176.78i 0.0717052 0.406660i
\(307\) 576.540 + 483.775i 0.107182 + 0.0899364i 0.694804 0.719199i \(-0.255491\pi\)
−0.587622 + 0.809136i \(0.699936\pi\)
\(308\) −233.585 85.0179i −0.0432134 0.0157284i
\(309\) 356.103 129.611i 0.0655598 0.0238618i
\(310\) 4445.85 3730.51i 0.814539 0.683480i
\(311\) −196.211 339.847i −0.0357752 0.0619645i 0.847583 0.530662i \(-0.178057\pi\)
−0.883359 + 0.468698i \(0.844723\pi\)
\(312\) 61.1376 105.893i 0.0110937 0.0192149i
\(313\) −480.364 2724.28i −0.0867468 0.491966i −0.996966 0.0778387i \(-0.975198\pi\)
0.910219 0.414127i \(-0.135913\pi\)
\(314\) −582.664 3304.45i −0.104719 0.593888i
\(315\) −151.591 + 262.563i −0.0271148 + 0.0469642i
\(316\) 1026.08 + 1777.22i 0.182663 + 0.316381i
\(317\) 4275.39 3587.48i 0.757507 0.635624i −0.179970 0.983672i \(-0.557600\pi\)
0.937477 + 0.348049i \(0.113156\pi\)
\(318\) −2932.53 + 1067.36i −0.517133 + 0.188221i
\(319\) 9644.27 + 3510.23i 1.69271 + 0.616097i
\(320\) −745.126 625.235i −0.130168 0.109224i
\(321\) 1130.17 6409.52i 0.196511 1.11447i
\(322\) 217.805 0.0376951
\(323\) −1454.42 7257.93i −0.250546 1.25029i
\(324\) −968.970 −0.166147
\(325\) −73.5336 + 417.030i −0.0125505 + 0.0711774i
\(326\) −1339.55 1124.02i −0.227579 0.190962i
\(327\) −4369.87 1590.50i −0.739003 0.268975i
\(328\) 1864.18 678.507i 0.313818 0.114220i
\(329\) 456.765 383.271i 0.0765418 0.0642262i
\(330\) 2239.66 + 3879.20i 0.373604 + 0.647100i
\(331\) 2098.00 3633.85i 0.348389 0.603427i −0.637575 0.770389i \(-0.720062\pi\)
0.985963 + 0.166962i \(0.0533956\pi\)
\(332\) 609.880 + 3458.80i 0.100818 + 0.571766i
\(333\) −295.709 1677.05i −0.0486629 0.275981i
\(334\) −2689.34 + 4658.08i −0.440582 + 0.763110i
\(335\) −1553.89 2691.42i −0.253428 0.438950i
\(336\) 75.6439 63.4728i 0.0122819 0.0103057i
\(337\) −3666.16 + 1334.37i −0.592607 + 0.215691i −0.620876 0.783909i \(-0.713223\pi\)
0.0282689 + 0.999600i \(0.491001\pi\)
\(338\) 4099.01 + 1491.92i 0.659635 + 0.240088i
\(339\) 3600.85 + 3021.47i 0.576906 + 0.484082i
\(340\) 943.534 5351.05i 0.150501 0.853533i
\(341\) −7354.74 −1.16798
\(342\) 1907.83 745.039i 0.301648 0.117799i
\(343\) −1102.50 −0.173556
\(344\) −385.450 + 2186.00i −0.0604131 + 0.342620i
\(345\) −3006.60 2522.84i −0.469188 0.393696i
\(346\) 3412.45 + 1242.03i 0.530215 + 0.192982i
\(347\) −11111.6 + 4044.28i −1.71902 + 0.625672i −0.997754 0.0669855i \(-0.978662\pi\)
−0.721266 + 0.692658i \(0.756440\pi\)
\(348\) −3123.19 + 2620.67i −0.481094 + 0.403685i
\(349\) 547.409 + 948.141i 0.0839603 + 0.145424i 0.904948 0.425523i \(-0.139910\pi\)
−0.820987 + 0.570946i \(0.806576\pi\)
\(350\) −170.989 + 296.161i −0.0261135 + 0.0452299i
\(351\) 104.480 + 592.533i 0.0158880 + 0.0901056i
\(352\) 214.049 + 1213.93i 0.0324115 + 0.183815i
\(353\) 1515.19 2624.39i 0.228457 0.395700i −0.728894 0.684627i \(-0.759965\pi\)
0.957351 + 0.288927i \(0.0932985\pi\)
\(354\) 2251.88 + 3900.37i 0.338097 + 0.585600i
\(355\) 8313.73 6976.04i 1.24295 1.04296i
\(356\) −1776.60 + 646.630i −0.264494 + 0.0962678i
\(357\) 518.343 + 188.662i 0.0768449 + 0.0279693i
\(358\) −570.566 478.761i −0.0842328 0.0706797i
\(359\) 502.821 2851.64i 0.0739216 0.419230i −0.925280 0.379284i \(-0.876170\pi\)
0.999202 0.0399461i \(-0.0127186\pi\)
\(360\) 1503.44 0.220106
\(361\) 5043.79 4648.23i 0.735353 0.677684i
\(362\) 4299.43 0.624235
\(363\) 101.528 575.792i 0.0146799 0.0832540i
\(364\) −19.7504 16.5725i −0.00284396 0.00238636i
\(365\) 1521.69 + 553.849i 0.218216 + 0.0794240i
\(366\) 5798.58 2110.51i 0.828133 0.301416i
\(367\) −2774.26 + 2327.88i −0.394592 + 0.331102i −0.818399 0.574651i \(-0.805138\pi\)
0.423807 + 0.905753i \(0.360694\pi\)
\(368\) −540.036 935.369i −0.0764981 0.132499i
\(369\) −1533.14 + 2655.48i −0.216293 + 0.374631i
\(370\) −726.925 4122.60i −0.102138 0.579253i
\(371\) 114.264 + 648.024i 0.0159900 + 0.0906840i
\(372\) 1460.83 2530.23i 0.203603 0.352651i
\(373\) 2835.16 + 4910.64i 0.393563 + 0.681671i 0.992917 0.118813i \(-0.0379089\pi\)
−0.599353 + 0.800485i \(0.704576\pi\)
\(374\) −5274.83 + 4426.11i −0.729291 + 0.611948i
\(375\) −1038.68 + 378.047i −0.143032 + 0.0520594i
\(376\) −2778.49 1011.29i −0.381089 0.138705i
\(377\) 815.454 + 684.247i 0.111401 + 0.0934762i
\(378\) −84.3747 + 478.513i −0.0114809 + 0.0651112i
\(379\) −9524.46 −1.29087 −0.645433 0.763817i \(-0.723323\pi\)
−0.645433 + 0.763817i \(0.723323\pi\)
\(380\) 4689.92 1831.49i 0.633125 0.247246i
\(381\) −2208.73 −0.296999
\(382\) −1143.20 + 6483.42i −0.153119 + 0.868378i
\(383\) 5597.33 + 4696.72i 0.746763 + 0.626608i 0.934645 0.355583i \(-0.115718\pi\)
−0.187882 + 0.982192i \(0.560162\pi\)
\(384\) −460.139 167.477i −0.0611495 0.0222566i
\(385\) 887.525 323.033i 0.117487 0.0427617i
\(386\) −642.414 + 539.049i −0.0847098 + 0.0710800i
\(387\) −1715.45 2971.25i −0.225327 0.390277i
\(388\) −3283.56 + 5687.29i −0.429632 + 0.744145i
\(389\) 43.6252 + 247.411i 0.00568608 + 0.0322473i 0.987519 0.157501i \(-0.0503438\pi\)
−0.981833 + 0.189749i \(0.939233\pi\)
\(390\) 80.6760 + 457.536i 0.0104748 + 0.0594058i
\(391\) 3016.72 5225.10i 0.390184 0.675818i
\(392\) 1361.59 + 2358.34i 0.175435 + 0.303863i
\(393\) −7751.00 + 6503.86i −0.994876 + 0.834800i
\(394\) −3825.12 + 1392.23i −0.489104 + 0.178019i
\(395\) −7327.09 2666.84i −0.933331 0.339705i
\(396\) −1459.51 1224.67i −0.185210 0.155410i
\(397\) −719.710 + 4081.68i −0.0909854 + 0.516004i 0.904918 + 0.425585i \(0.139932\pi\)
−0.995904 + 0.0904188i \(0.971179\pi\)
\(398\) −5074.62 −0.639115
\(399\) 100.429 + 501.165i 0.0126008 + 0.0628813i
\(400\) 1695.82 0.211978
\(401\) −491.601 + 2788.01i −0.0612204 + 0.347198i 0.938776 + 0.344528i \(0.111961\pi\)
−0.999996 + 0.00267008i \(0.999150\pi\)
\(402\) −1198.49 1005.65i −0.148694 0.124769i
\(403\) −716.829 260.904i −0.0886050 0.0322496i
\(404\) 6098.83 2219.79i 0.751059 0.273363i
\(405\) 2820.33 2366.54i 0.346033 0.290356i
\(406\) 429.830 + 744.488i 0.0525422 + 0.0910057i
\(407\) −2652.51 + 4594.27i −0.323046 + 0.559532i
\(408\) −474.991 2693.81i −0.0576362 0.326871i
\(409\) 1624.68 + 9213.99i 0.196418 + 1.11394i 0.910385 + 0.413763i \(0.135786\pi\)
−0.713966 + 0.700180i \(0.753103\pi\)
\(410\) −3768.84 + 6527.83i −0.453975 + 0.786308i
\(411\) −809.160 1401.51i −0.0971117 0.168202i
\(412\) −303.536 + 254.697i −0.0362964 + 0.0304563i
\(413\) 892.368 324.795i 0.106321 0.0386977i
\(414\) 1568.73 + 570.972i 0.186229 + 0.0677820i
\(415\) −10222.7 8577.83i −1.20918 1.01462i
\(416\) −22.2011 + 125.909i −0.00261659 + 0.0148394i
\(417\) 5269.36 0.618805
\(418\) −6044.77 2042.34i −0.707320 0.238982i
\(419\) −3304.33 −0.385267 −0.192633 0.981271i \(-0.561703\pi\)
−0.192633 + 0.981271i \(0.561703\pi\)
\(420\) −65.1517 + 369.494i −0.00756923 + 0.0429273i
\(421\) 1201.15 + 1007.89i 0.139051 + 0.116678i 0.709660 0.704544i \(-0.248848\pi\)
−0.570609 + 0.821222i \(0.693293\pi\)
\(422\) 2499.96 + 909.910i 0.288379 + 0.104961i
\(423\) 4294.56 1563.09i 0.493638 0.179669i
\(424\) 2499.64 2097.45i 0.286305 0.240238i
\(425\) 4736.56 + 8203.96i 0.540604 + 0.936354i
\(426\) 2731.74 4731.52i 0.310689 0.538128i
\(427\) −225.938 1281.36i −0.0256063 0.145221i
\(428\) 1181.71 + 6701.80i 0.133458 + 0.756878i
\(429\) 294.382 509.885i 0.0331303 0.0573834i
\(430\) −4217.00 7304.07i −0.472935 0.819147i
\(431\) 7656.81 6424.82i 0.855720 0.718035i −0.105321 0.994438i \(-0.533587\pi\)
0.961042 + 0.276404i \(0.0891427\pi\)
\(432\) 2264.18 824.096i 0.252166 0.0917808i
\(433\) −8910.95 3243.32i −0.988991 0.359963i −0.203662 0.979041i \(-0.565284\pi\)
−0.785329 + 0.619078i \(0.787506\pi\)
\(434\) −471.916 395.985i −0.0521952 0.0437970i
\(435\) 2689.99 15255.7i 0.296494 1.68150i
\(436\) 4862.38 0.534095
\(437\) 5589.15 129.906i 0.611820 0.0142203i
\(438\) 815.206 0.0889317
\(439\) 1213.19 6880.33i 0.131896 0.748018i −0.845075 0.534647i \(-0.820445\pi\)
0.976971 0.213371i \(-0.0684444\pi\)
\(440\) −3587.83 3010.55i −0.388735 0.326187i
\(441\) −3955.24 1439.59i −0.427085 0.155446i
\(442\) −671.124 + 244.269i −0.0722219 + 0.0262866i
\(443\) −6666.92 + 5594.21i −0.715022 + 0.599975i −0.926003 0.377515i \(-0.876779\pi\)
0.210981 + 0.977490i \(0.432334\pi\)
\(444\) −1053.70 1825.06i −0.112627 0.195076i
\(445\) 3591.78 6221.15i 0.382622 0.662721i
\(446\) −1012.07 5739.72i −0.107450 0.609380i
\(447\) 2283.29 + 12949.2i 0.241602 + 1.37019i
\(448\) −51.6245 + 89.4163i −0.00544426 + 0.00942974i
\(449\) 6975.37 + 12081.7i 0.733159 + 1.26987i 0.955526 + 0.294905i \(0.0952881\pi\)
−0.222368 + 0.974963i \(0.571379\pi\)
\(450\) −2007.91 + 1684.84i −0.210342 + 0.176498i
\(451\) 8976.17 3267.06i 0.937187 0.341108i
\(452\) −4618.52 1681.00i −0.480613 0.174929i
\(453\) 2837.30 + 2380.77i 0.294278 + 0.246928i
\(454\) −280.775 + 1592.36i −0.0290252 + 0.164610i
\(455\) 97.9618 0.0100935
\(456\) 1903.26 1673.90i 0.195456 0.171903i
\(457\) −7064.52 −0.723116 −0.361558 0.932350i \(-0.617755\pi\)
−0.361558 + 0.932350i \(0.617755\pi\)
\(458\) 1568.97 8898.09i 0.160073 0.907818i
\(459\) 10310.8 + 8651.78i 1.04851 + 0.879805i
\(460\) 3856.33 + 1403.59i 0.390874 + 0.142267i
\(461\) −2970.49 + 1081.17i −0.300107 + 0.109230i −0.487685 0.873020i \(-0.662159\pi\)
0.187578 + 0.982250i \(0.439936\pi\)
\(462\) 364.231 305.626i 0.0366787 0.0307771i
\(463\) −4387.70 7599.71i −0.440418 0.762826i 0.557302 0.830310i \(-0.311836\pi\)
−0.997720 + 0.0674833i \(0.978503\pi\)
\(464\) 2131.48 3691.83i 0.213257 0.369372i
\(465\) 1927.68 + 10932.4i 0.192245 + 1.09028i
\(466\) −1099.46 6235.36i −0.109295 0.619845i
\(467\) 8634.59 14955.6i 0.855592 1.48193i −0.0205032 0.999790i \(-0.506527\pi\)
0.876095 0.482139i \(-0.160140\pi\)
\(468\) −98.8065 171.138i −0.00975925 0.0169035i
\(469\) −252.706 + 212.046i −0.0248804 + 0.0208771i
\(470\) 10557.1 3842.46i 1.03609 0.377106i
\(471\) 6031.11 + 2195.15i 0.590019 + 0.214749i
\(472\) −3607.41 3026.98i −0.351790 0.295186i
\(473\) −1855.97 + 10525.7i −0.180418 + 1.02320i
\(474\) −3925.31 −0.380370
\(475\) −4211.13 + 7701.83i −0.406779 + 0.743966i
\(476\) −576.764 −0.0555377
\(477\) −875.799 + 4966.90i −0.0840672 + 0.476769i
\(478\) 6699.90 + 5621.88i 0.641101 + 0.537948i
\(479\) 2048.83 + 745.711i 0.195435 + 0.0711324i 0.437883 0.899032i \(-0.355728\pi\)
−0.242449 + 0.970164i \(0.577951\pi\)
\(480\) 1748.34 636.343i 0.166251 0.0605103i
\(481\) −421.505 + 353.685i −0.0399563 + 0.0335273i
\(482\) 2831.89 + 4904.98i 0.267612 + 0.463518i
\(483\) −208.306 + 360.797i −0.0196237 + 0.0339893i
\(484\) 106.157 + 602.049i 0.00996970 + 0.0565410i
\(485\) −4332.92 24573.2i −0.405665 2.30064i
\(486\) −3139.31 + 5437.45i −0.293008 + 0.507505i
\(487\) −2412.17 4178.00i −0.224447 0.388754i 0.731706 0.681620i \(-0.238724\pi\)
−0.956153 + 0.292866i \(0.905391\pi\)
\(488\) −4942.61 + 4147.34i −0.458487 + 0.384716i
\(489\) 3143.08 1143.99i 0.290664 0.105793i
\(490\) −9722.94 3538.86i −0.896404 0.326264i
\(491\) 8557.94 + 7180.97i 0.786588 + 0.660025i 0.944898 0.327364i \(-0.106160\pi\)
−0.158311 + 0.987389i \(0.550605\pi\)
\(492\) −658.925 + 3736.95i −0.0603794 + 0.342428i
\(493\) 23813.5 2.17547
\(494\) −516.702 413.491i −0.0470598 0.0376596i
\(495\) 7239.17 0.657326
\(496\) −530.475 + 3008.47i −0.0480223 + 0.272348i
\(497\) −882.483 740.491i −0.0796474 0.0668321i
\(498\) −6312.82 2297.68i −0.568041 0.206750i
\(499\) −14519.0 + 5284.47i −1.30252 + 0.474079i −0.897817 0.440369i \(-0.854848\pi\)
−0.404704 + 0.914448i \(0.632626\pi\)
\(500\) 885.349 742.896i 0.0791880 0.0664466i
\(501\) −5144.11 8909.86i −0.458726 0.794537i
\(502\) −1664.13 + 2882.37i −0.147956 + 0.256267i
\(503\) −1379.27 7822.23i −0.122264 0.693392i −0.982896 0.184164i \(-0.941042\pi\)
0.860632 0.509228i \(-0.170069\pi\)
\(504\) −27.7119 157.162i −0.00244918 0.0138900i
\(505\) −12330.1 + 21356.3i −1.08650 + 1.88187i
\(506\) −2600.31 4503.87i −0.228454 0.395695i
\(507\) −6391.62 + 5363.20i −0.559885 + 0.469799i
\(508\) 2170.18 789.880i 0.189539 0.0689867i
\(509\) −5204.55 1894.30i −0.453218 0.164958i 0.105317 0.994439i \(-0.466414\pi\)
−0.558535 + 0.829481i \(0.688636\pi\)
\(510\) 7961.69 + 6680.65i 0.691273 + 0.580047i
\(511\) 29.8484 169.278i 0.00258398 0.0146545i
\(512\) 512.000 0.0441942
\(513\) −1879.76 + 12329.5i −0.161780 + 1.06114i
\(514\) −9066.07 −0.777991
\(515\) 261.434 1482.66i 0.0223692 0.126862i
\(516\) −3252.49 2729.16i −0.277486 0.232839i
\(517\) −13378.6 4869.42i −1.13809 0.414230i
\(518\) −417.557 + 151.978i −0.0354178 + 0.0128910i
\(519\) −5321.06 + 4464.90i −0.450036 + 0.377625i
\(520\) −242.891 420.699i −0.0204836 0.0354786i
\(521\) 9252.40 16025.6i 0.778033 1.34759i −0.155042 0.987908i \(-0.549551\pi\)
0.933074 0.359684i \(-0.117115\pi\)
\(522\) 1144.17 + 6488.92i 0.0959369 + 0.544085i
\(523\) 67.8315 + 384.692i 0.00567126 + 0.0321633i 0.987512 0.157543i \(-0.0503574\pi\)
−0.981841 + 0.189707i \(0.939246\pi\)
\(524\) 5289.81 9162.22i 0.441005 0.763843i
\(525\) −327.063 566.489i −0.0271889 0.0470926i
\(526\) −480.590 + 403.263i −0.0398379 + 0.0334279i
\(527\) −16035.9 + 5836.58i −1.32549 + 0.482439i
\(528\) −2215.60 806.414i −0.182617 0.0664672i
\(529\) −5829.71 4891.71i −0.479141 0.402047i
\(530\) −2152.93 + 12209.9i −0.176448 + 1.00068i
\(531\) 7278.68 0.594854
\(532\) −277.901 456.502i −0.0226476 0.0372028i
\(533\) 990.757 0.0805150
\(534\) 627.969 3561.39i 0.0508893 0.288607i
\(535\) −19807.5 16620.5i −1.60066 1.34311i
\(536\) 1537.20 + 559.497i 0.123875 + 0.0450869i
\(537\) 1338.76 487.267i 0.107582 0.0391567i
\(538\) 4359.35 3657.93i 0.349340 0.293131i
\(539\) 6556.15 + 11355.6i 0.523921 + 0.907458i
\(540\) −4577.53 + 7928.52i −0.364788 + 0.631832i
\(541\) −2259.51 12814.3i −0.179564 1.01836i −0.932743 0.360541i \(-0.882592\pi\)
0.753180 0.657815i \(-0.228519\pi\)
\(542\) −1404.76 7966.80i −0.111328 0.631372i
\(543\) −4111.92 + 7122.05i −0.324971 + 0.562866i
\(544\) 1430.05 + 2476.92i 0.112708 + 0.195215i
\(545\) −14152.7 + 11875.5i −1.11236 + 0.933377i
\(546\) 46.3416 16.8670i 0.00363230 0.00132205i
\(547\) 22033.0 + 8019.34i 1.72223 + 0.626841i 0.998030 0.0627456i \(-0.0199857\pi\)
0.724203 + 0.689587i \(0.242208\pi\)
\(548\) 1296.24 + 1087.67i 0.101045 + 0.0847866i
\(549\) 1731.74 9821.20i 0.134625 0.763494i
\(550\) 8165.51 0.633052
\(551\) 11474.0 + 18848.1i 0.887130 + 1.45727i
\(552\) 2065.93 0.159297
\(553\) −143.723 + 815.094i −0.0110519 + 0.0626787i
\(554\) 12028.8 + 10093.4i 0.922481 + 0.774053i
\(555\) 7524.35 + 2738.64i 0.575479 + 0.209457i
\(556\) −5177.38 + 1884.41i −0.394910 + 0.143735i
\(557\) 2199.71 1845.78i 0.167334 0.140410i −0.555275 0.831666i \(-0.687387\pi\)
0.722609 + 0.691257i \(0.242943\pi\)
\(558\) −2360.89 4089.18i −0.179112 0.310231i
\(559\) −554.285 + 960.050i −0.0419388 + 0.0726401i
\(560\) −68.1227 386.343i −0.00514056 0.0291535i
\(561\) −2287.12 12970.9i −0.172125 0.976170i
\(562\) −185.460 + 321.226i −0.0139202 + 0.0241105i
\(563\) −9639.92 16696.8i −0.721623 1.24989i −0.960349 0.278801i \(-0.910063\pi\)
0.238725 0.971087i \(-0.423270\pi\)
\(564\) 4332.52 3635.41i 0.323461 0.271416i
\(565\) 17548.4 6387.11i 1.30667 0.475589i
\(566\) 9614.77 + 3499.49i 0.714027 + 0.259884i
\(567\) −299.371 251.203i −0.0221736 0.0186058i
\(568\) −991.988 + 5625.84i −0.0732797 + 0.415590i
\(569\) 10628.0 0.783037 0.391519 0.920170i \(-0.371950\pi\)
0.391519 + 0.920170i \(0.371950\pi\)
\(570\) −1451.49 + 9520.51i −0.106660 + 0.699597i
\(571\) −23994.9 −1.75859 −0.879296 0.476276i \(-0.841986\pi\)
−0.879296 + 0.476276i \(0.841986\pi\)
\(572\) −106.900 + 606.260i −0.00781419 + 0.0443165i
\(573\) −9646.51 8094.38i −0.703296 0.590136i
\(574\) 751.856 + 273.653i 0.0546722 + 0.0198991i
\(575\) −6723.25 + 2447.06i −0.487615 + 0.177478i
\(576\) −606.226 + 508.684i −0.0438531 + 0.0367972i
\(577\) 3421.54 + 5926.28i 0.246864 + 0.427581i 0.962654 0.270734i \(-0.0872665\pi\)
−0.715790 + 0.698316i \(0.753933\pi\)
\(578\) −3075.47 + 5326.87i −0.221320 + 0.383337i
\(579\) −278.545 1579.70i −0.0199929 0.113386i
\(580\) 2812.66 + 15951.4i 0.201361 + 1.14197i
\(581\) −708.256 + 1226.74i −0.0505739 + 0.0875965i
\(582\) −6280.70 10878.5i −0.447326 0.774791i
\(583\) 12035.9 10099.4i 0.855022 0.717449i
\(584\) −800.976 + 291.532i −0.0567545 + 0.0206570i
\(585\) 705.565 + 256.805i 0.0498658 + 0.0181497i
\(586\) 5482.30 + 4600.20i 0.386471 + 0.324287i
\(587\) −2520.10 + 14292.2i −0.177199 + 1.00495i 0.758376 + 0.651817i \(0.225993\pi\)
−0.935575 + 0.353128i \(0.885118\pi\)
\(588\) −5208.83 −0.365320
\(589\) −12346.1 9879.98i −0.863689 0.691167i
\(590\) 17892.8 1.24853
\(591\) 1352.05 7667.87i 0.0941049 0.533695i
\(592\) 1687.98 + 1416.38i 0.117189 + 0.0983328i
\(593\) 17822.2 + 6486.75i 1.23418 + 0.449205i 0.875028 0.484073i \(-0.160843\pi\)
0.359154 + 0.933278i \(0.383065\pi\)
\(594\) 10902.2 3968.08i 0.753069 0.274095i
\(595\) 1678.76 1408.64i 0.115668 0.0970568i
\(596\) −6874.28 11906.6i −0.472452 0.818312i
\(597\) 4853.30 8406.17i 0.332718 0.576284i
\(598\) −93.6672 531.213i −0.00640525 0.0363260i
\(599\) −1075.07 6097.00i −0.0733322 0.415888i −0.999270 0.0382109i \(-0.987834\pi\)
0.925937 0.377677i \(-0.123277\pi\)
\(600\) −1621.86 + 2809.15i −0.110354 + 0.191139i
\(601\) 1672.47 + 2896.80i 0.113513 + 0.196611i 0.917184 0.398463i \(-0.130456\pi\)
−0.803671 + 0.595074i \(0.797123\pi\)
\(602\) −685.802 + 575.456i −0.0464306 + 0.0389599i
\(603\) −2375.98 + 864.785i −0.160460 + 0.0584026i
\(604\) −3639.17 1324.55i −0.245159 0.0892305i
\(605\) −1779.38 1493.08i −0.119574 0.100334i
\(606\) −2155.73 + 12225.8i −0.144506 + 0.819534i
\(607\) 19504.6 1.30423 0.652113 0.758122i \(-0.273883\pi\)
0.652113 + 0.758122i \(0.273883\pi\)
\(608\) −1271.42 + 2325.32i −0.0848072 + 0.155106i
\(609\) −1644.34 −0.109412
\(610\) 4257.05 24142.9i 0.282562 1.60249i
\(611\) −1131.21 949.194i −0.0748996 0.0628482i
\(612\) −4154.11 1511.97i −0.274379 0.0998658i
\(613\) 14556.2 5298.03i 0.959087 0.349079i 0.185411 0.982661i \(-0.440638\pi\)
0.773676 + 0.633582i \(0.218416\pi\)
\(614\) 1153.08 967.549i 0.0757891 0.0635946i
\(615\) −7208.95 12486.3i −0.472671 0.818690i
\(616\) −248.576 + 430.546i −0.0162588 + 0.0281610i
\(617\) −1718.15 9744.13i −0.112107 0.635792i −0.988142 0.153544i \(-0.950931\pi\)
0.876035 0.482248i \(-0.160180\pi\)
\(618\) −131.610 746.398i −0.00856657 0.0485834i
\(619\) 11028.8 19102.4i 0.716130 1.24037i −0.246392 0.969170i \(-0.579245\pi\)
0.962522 0.271203i \(-0.0874215\pi\)
\(620\) −5803.64 10052.2i −0.375935 0.651139i
\(621\) −7787.40 + 6534.40i −0.503217 + 0.422249i
\(622\) −737.511 + 268.432i −0.0475426 + 0.0173041i
\(623\) −716.533 260.797i −0.0460791 0.0167714i
\(624\) −187.337 157.194i −0.0120184 0.0100846i
\(625\) −3063.15 + 17372.0i −0.196041 + 1.11181i
\(626\) −5532.61 −0.353239
\(627\) 9164.31 8059.96i 0.583712 0.513372i
\(628\) −6710.86 −0.426421
\(629\) −2137.45 + 12122.1i −0.135494 + 0.768424i
\(630\) 464.501 + 389.762i 0.0293748 + 0.0246484i
\(631\) 7694.35 + 2800.51i 0.485431 + 0.176683i 0.573130 0.819465i \(-0.305729\pi\)
−0.0876987 + 0.996147i \(0.527951\pi\)
\(632\) 3856.79 1403.76i 0.242745 0.0883519i
\(633\) −3898.20 + 3270.98i −0.244770 + 0.205387i
\(634\) −5581.12 9666.78i −0.349613 0.605547i
\(635\) −4387.48 + 7599.33i −0.274192 + 0.474914i
\(636\) 1083.82 + 6146.65i 0.0675728 + 0.383224i
\(637\) 236.163 + 1339.35i 0.0146893 + 0.0833074i
\(638\) 10263.2 17776.4i 0.636872 1.10310i
\(639\) −4414.86 7646.75i −0.273316 0.473397i
\(640\) −1490.25 + 1250.47i −0.0920428 + 0.0772330i
\(641\) −23626.9 + 8599.48i −1.45586 + 0.529889i −0.944221 0.329312i \(-0.893183\pi\)
−0.511637 + 0.859201i \(0.670961\pi\)
\(642\) −12231.8 4452.00i −0.751947 0.273686i
\(643\) 19692.2 + 16523.7i 1.20775 + 1.01342i 0.999374 + 0.0353759i \(0.0112628\pi\)
0.208378 + 0.978048i \(0.433182\pi\)
\(644\) 75.6431 428.993i 0.00462850 0.0262495i
\(645\) 16132.4 0.984823
\(646\) −14800.5 + 344.001i −0.901418 + 0.0209513i
\(647\) −4723.46 −0.287014 −0.143507 0.989649i \(-0.545838\pi\)
−0.143507 + 0.989649i \(0.545838\pi\)
\(648\) −336.520 + 1908.50i −0.0204008 + 0.115699i
\(649\) −17370.0 14575.1i −1.05059 0.881546i
\(650\) 795.851 + 289.666i 0.0480244 + 0.0174794i
\(651\) 1107.29 403.020i 0.0666637 0.0242636i
\(652\) −2679.10 + 2248.03i −0.160923 + 0.135030i
\(653\) 5177.17 + 8967.12i 0.310258 + 0.537382i 0.978418 0.206635i \(-0.0662513\pi\)
−0.668160 + 0.744017i \(0.732918\pi\)
\(654\) −4650.31 + 8054.58i −0.278045 + 0.481589i
\(655\) 6980.33 + 39587.4i 0.416403 + 2.36154i
\(656\) −688.974 3907.36i −0.0410059 0.232556i
\(657\) 658.741 1140.97i 0.0391171 0.0677528i
\(658\) −596.264 1032.76i −0.0353264 0.0611872i
\(659\) −23336.0 + 19581.2i −1.37943 + 1.15748i −0.410002 + 0.912084i \(0.634472\pi\)
−0.969424 + 0.245392i \(0.921083\pi\)
\(660\) 8418.37 3064.03i 0.496492 0.180708i
\(661\) 3139.98 + 1142.86i 0.184767 + 0.0672497i 0.432747 0.901516i \(-0.357544\pi\)
−0.247980 + 0.968765i \(0.579767\pi\)
\(662\) −6428.65 5394.28i −0.377427 0.316699i
\(663\) 237.220 1345.34i 0.0138957 0.0788064i
\(664\) 7024.32 0.410537
\(665\) 1923.80 + 649.992i 0.112183 + 0.0379032i
\(666\) −3405.84 −0.198159
\(667\) −3123.16 + 17712.3i −0.181303 + 1.02822i
\(668\) 8240.63 + 6914.71i 0.477305 + 0.400506i
\(669\) 10475.8 + 3812.89i 0.605410 + 0.220351i
\(670\) −5840.73 + 2125.85i −0.336787 + 0.122580i
\(671\) −23799.0 + 19969.7i −1.36923 + 1.14892i
\(672\) −98.7461 171.033i −0.00566847 0.00981808i
\(673\) 10759.0 18635.2i 0.616241 1.06736i −0.373924 0.927459i \(-0.621988\pi\)
0.990165 0.139902i \(-0.0446787\pi\)
\(674\) 1354.96 + 7684.35i 0.0774348 + 0.439154i
\(675\) −2771.64 15718.8i −0.158045 0.896319i
\(676\) 4362.07 7555.33i 0.248184 0.429867i
\(677\) 299.227 + 518.276i 0.0169870 + 0.0294224i 0.874394 0.485217i \(-0.161259\pi\)
−0.857407 + 0.514639i \(0.827926\pi\)
\(678\) 7201.70 6042.94i 0.407934 0.342298i
\(679\) −2488.89 + 905.884i −0.140670 + 0.0511997i
\(680\) −10211.8 3716.80i −0.575890 0.209607i
\(681\) −2369.22 1988.02i −0.133317 0.111866i
\(682\) −2554.28 + 14486.0i −0.143414 + 0.813341i
\(683\) −16817.3 −0.942159 −0.471080 0.882091i \(-0.656136\pi\)
−0.471080 + 0.882091i \(0.656136\pi\)
\(684\) −804.858 4016.44i −0.0449920 0.224521i
\(685\) −6429.34 −0.358617
\(686\) −382.895 + 2171.51i −0.0213105 + 0.120858i
\(687\) 13239.2 + 11109.0i 0.735238 + 0.616938i
\(688\) 4171.71 + 1518.38i 0.231170 + 0.0841390i
\(689\) 1531.35 557.366i 0.0846731 0.0308185i
\(690\) −6013.20 + 5045.68i −0.331766 + 0.278385i
\(691\) 4977.75 + 8621.72i 0.274041 + 0.474654i 0.969893 0.243532i \(-0.0783061\pi\)
−0.695851 + 0.718186i \(0.744973\pi\)
\(692\) 3631.45 6289.86i 0.199490 0.345527i
\(693\) −133.435 756.747i −0.00731425 0.0414812i
\(694\) 4106.67 + 23290.1i 0.224621 + 1.27389i
\(695\) 10467.2 18129.7i 0.571285 0.989495i
\(696\) 4077.03 + 7061.63i 0.222040 + 0.384584i
\(697\) 16978.5 14246.6i 0.922676 0.774217i
\(698\) 2057.59 748.900i 0.111577 0.0406107i
\(699\) 11380.5 + 4142.15i 0.615806 + 0.224135i
\(700\) 523.939 + 439.637i 0.0282901 + 0.0237382i
\(701\) 4172.16 23661.5i 0.224794 1.27487i −0.638285 0.769800i \(-0.720356\pi\)
0.863079 0.505069i \(-0.168533\pi\)
\(702\) 1203.35 0.0646972
\(703\) −10624.4 + 4148.99i −0.569994 + 0.222592i
\(704\) 2465.32 0.131982
\(705\) −3731.57 + 21162.8i −0.199346 + 1.13055i
\(706\) −4642.81 3895.78i −0.247499 0.207677i
\(707\) 2459.76 + 895.279i 0.130847 + 0.0476244i
\(708\) 8464.31 3080.76i 0.449305 0.163534i
\(709\) −16021.0 + 13443.2i −0.848635 + 0.712089i −0.959489 0.281748i \(-0.909086\pi\)
0.110854 + 0.993837i \(0.464641\pi\)
\(710\) −10852.8 18797.6i −0.573660 0.993607i
\(711\) −3171.91 + 5493.91i −0.167308 + 0.289786i
\(712\) 656.605 + 3723.79i 0.0345609 + 0.196004i
\(713\) −2238.09 12692.8i −0.117556 0.666691i
\(714\) 551.610 955.416i 0.0289124 0.0500778i
\(715\) −1169.54 2025.69i −0.0611722 0.105953i
\(716\) −1141.13 + 957.523i −0.0595616 + 0.0499781i
\(717\) −15720.4 + 5721.76i −0.818814 + 0.298024i
\(718\) −5442.00 1980.73i −0.282860 0.102953i
\(719\) −4943.23 4147.86i −0.256400 0.215145i 0.505523 0.862813i \(-0.331300\pi\)
−0.761922 + 0.647669i \(0.775744\pi\)
\(720\) 522.139 2961.20i 0.0270264 0.153274i
\(721\) −159.809 −0.00825466
\(722\) −7403.55 11548.6i −0.381622 0.595285i
\(723\) −10833.5 −0.557266
\(724\) 1493.18 8468.22i 0.0766484 0.434695i
\(725\) −21632.4 18151.8i −1.10815 0.929848i
\(726\) −1098.83 399.941i −0.0561726 0.0204452i
\(727\) 16271.3 5922.25i 0.830079 0.302124i 0.108188 0.994130i \(-0.465495\pi\)
0.721891 + 0.692006i \(0.243273\pi\)
\(728\) −39.5007 + 33.1451i −0.00201098 + 0.00168741i
\(729\) −9275.07 16064.9i −0.471222 0.816181i
\(730\) 1619.35 2804.79i 0.0821023 0.142205i
\(731\) 4306.36 + 24422.6i 0.217889 + 1.23571i
\(732\) −2143.07 12154.0i −0.108211 0.613693i
\(733\) −200.224 + 346.798i −0.0100893 + 0.0174751i −0.871026 0.491237i \(-0.836545\pi\)
0.860937 + 0.508712i \(0.169878\pi\)
\(734\) 3621.54 + 6272.69i 0.182117 + 0.315435i
\(735\) 15161.1 12721.6i 0.760849 0.638428i
\(736\) −2029.87 + 738.813i −0.101660 + 0.0370013i
\(737\) 7401.75 + 2694.02i 0.369942 + 0.134648i
\(738\) 4697.82 + 3941.94i 0.234322 + 0.196619i
\(739\) 2759.21 15648.2i 0.137347 0.778931i −0.835850 0.548957i \(-0.815025\pi\)
0.973197 0.229974i \(-0.0738640\pi\)
\(740\) −8372.39 −0.415912
\(741\) 1179.12 460.466i 0.0584562 0.0228281i
\(742\) 1316.04 0.0651124
\(743\) 4058.11 23014.7i 0.200374 1.13638i −0.704182 0.710020i \(-0.748686\pi\)
0.904556 0.426356i \(-0.140203\pi\)
\(744\) −4476.23 3756.00i −0.220573 0.185083i
\(745\) 49088.4 + 17866.7i 2.41404 + 0.878639i
\(746\) 10656.7 3878.73i 0.523016 0.190362i
\(747\) −8317.03 + 6978.82i −0.407369 + 0.341823i
\(748\) 6885.80 + 11926.6i 0.336591 + 0.582992i
\(749\) −1372.32 + 2376.93i −0.0669474 + 0.115956i
\(750\) 383.879 + 2177.09i 0.0186897 + 0.105995i
\(751\) 5040.78 + 28587.7i 0.244928 + 1.38905i 0.820660 + 0.571416i \(0.193606\pi\)
−0.575732 + 0.817638i \(0.695283\pi\)
\(752\) −2956.80 + 5121.33i −0.143382 + 0.248346i
\(753\) −3183.11 5513.31i −0.154049 0.266821i
\(754\) 1630.91 1368.49i 0.0787721 0.0660977i
\(755\) 13827.3 5032.74i 0.666527 0.242596i
\(756\) 913.183 + 332.372i 0.0439314 + 0.0159897i
\(757\) −23139.1 19416.0i −1.11097 0.932215i −0.112857 0.993611i \(-0.536000\pi\)
−0.998113 + 0.0613960i \(0.980445\pi\)
\(758\) −3307.81 + 18759.5i −0.158503 + 0.898914i
\(759\) 9947.61 0.475725
\(760\) −1978.54 9873.40i −0.0944331 0.471245i
\(761\) −6718.85 −0.320050 −0.160025 0.987113i \(-0.551158\pi\)
−0.160025 + 0.987113i \(0.551158\pi\)
\(762\) −767.084 + 4350.35i −0.0364679 + 0.206820i
\(763\) 1502.27 + 1260.56i 0.0712791 + 0.0598102i
\(764\) 12372.8 + 4503.33i 0.585906 + 0.213253i
\(765\) 15783.9 5744.86i 0.745970 0.271511i
\(766\) 11194.7 9393.43i 0.528041 0.443079i
\(767\) −1175.92 2036.75i −0.0553584 0.0958836i
\(768\) −489.670 + 848.134i −0.0230071 + 0.0398495i
\(769\) −5834.53 33089.3i −0.273600