Properties

Label 49.4.e.a.43.9
Level $49$
Weight $4$
Character 49.43
Analytic conductor $2.891$
Analytic rank $0$
Dimension $78$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 49 = 7^{2} \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 49.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.89109359028\)
Analytic rank: \(0\)
Dimension: \(78\)
Relative dimension: \(13\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 43.9
Character \(\chi\) \(=\) 49.43
Dual form 49.4.e.a.8.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.777062 - 0.974405i) q^{2} +(-0.189548 - 0.0912813i) q^{3} +(1.43453 + 6.28508i) q^{4} +(7.66912 + 3.69325i) q^{5} +(-0.236235 + 0.113765i) q^{6} +(18.3768 - 2.30053i) q^{7} +(16.2220 + 7.81211i) q^{8} +(-16.8066 - 21.0748i) q^{9} +O(q^{10})\) \(q+(0.777062 - 0.974405i) q^{2} +(-0.189548 - 0.0912813i) q^{3} +(1.43453 + 6.28508i) q^{4} +(7.66912 + 3.69325i) q^{5} +(-0.236235 + 0.113765i) q^{6} +(18.3768 - 2.30053i) q^{7} +(16.2220 + 7.81211i) q^{8} +(-16.8066 - 21.0748i) q^{9} +(9.55811 - 4.60294i) q^{10} +(2.58443 - 3.24077i) q^{11} +(0.301799 - 1.32227i) q^{12} +(-11.7770 + 14.7678i) q^{13} +(12.0383 - 19.6941i) q^{14} +(-1.11654 - 1.40009i) q^{15} +(-26.2486 + 12.6407i) q^{16} +(-4.87109 + 21.3416i) q^{17} -33.5952 q^{18} -46.4772 q^{19} +(-12.2108 + 53.4991i) q^{20} +(-3.69328 - 1.24140i) q^{21} +(-1.14956 - 5.03655i) q^{22} +(-18.3535 - 80.4119i) q^{23} +(-2.36174 - 2.96153i) q^{24} +(-32.7609 - 41.0809i) q^{25} +(5.23843 + 22.9511i) q^{26} +(2.52590 + 11.0667i) q^{27} +(40.8211 + 112.200i) q^{28} +(44.6635 - 195.683i) q^{29} -2.23188 q^{30} -276.703 q^{31} +(-40.1317 + 175.829i) q^{32} +(-0.785693 + 0.378370i) q^{33} +(17.0102 + 21.3302i) q^{34} +(149.431 + 50.2272i) q^{35} +(108.347 - 135.863i) q^{36} +(48.3784 - 211.960i) q^{37} +(-36.1157 + 45.2876i) q^{38} +(3.58032 - 1.72419i) q^{39} +(95.5565 + 119.824i) q^{40} +(386.663 + 186.207i) q^{41} +(-4.07953 + 2.63410i) q^{42} +(188.263 - 90.6627i) q^{43} +(24.0759 + 11.5943i) q^{44} +(-51.0573 - 223.697i) q^{45} +(-92.6155 - 44.6013i) q^{46} +(-258.855 + 324.593i) q^{47} +6.12922 q^{48} +(332.415 - 84.5528i) q^{49} -65.4867 q^{50} +(2.87139 - 3.60061i) q^{51} +(-109.711 - 52.8343i) q^{52} +(39.2802 + 172.098i) q^{53} +(12.7462 + 6.13826i) q^{54} +(31.7893 - 15.3089i) q^{55} +(316.081 + 106.243i) q^{56} +(8.80964 + 4.24250i) q^{57} +(-155.969 - 195.578i) q^{58} +(149.792 - 72.1360i) q^{59} +(7.19800 - 9.02601i) q^{60} +(-72.4363 + 317.364i) q^{61} +(-215.015 + 269.621i) q^{62} +(-357.336 - 348.625i) q^{63} +(-5.17349 - 6.48736i) q^{64} +(-144.860 + 69.7611i) q^{65} +(-0.241847 + 1.05960i) q^{66} -809.291 q^{67} -141.121 q^{68} +(-3.86124 + 16.9172i) q^{69} +(165.058 - 106.576i) q^{70} +(44.7834 + 196.209i) q^{71} +(-107.998 - 473.172i) q^{72} +(-391.210 - 490.561i) q^{73} +(-168.941 - 211.846i) q^{74} +(2.45983 + 10.7772i) q^{75} +(-66.6729 - 292.113i) q^{76} +(40.0381 - 65.5006i) q^{77} +(1.10207 - 4.82849i) q^{78} +69.4560 q^{79} -247.989 q^{80} +(-161.420 + 707.229i) q^{81} +(481.902 - 232.072i) q^{82} +(441.287 + 553.356i) q^{83} +(2.50419 - 24.9934i) q^{84} +(-116.177 + 145.681i) q^{85} +(57.9498 - 253.895i) q^{86} +(-26.3281 + 33.0144i) q^{87} +(67.2419 - 32.3820i) q^{88} +(537.947 + 674.565i) q^{89} +(-257.646 - 124.076i) q^{90} +(-182.449 + 298.479i) q^{91} +(479.067 - 230.706i) q^{92} +(52.4484 + 25.2578i) q^{93} +(115.139 + 504.458i) q^{94} +(-356.440 - 171.652i) q^{95} +(23.6567 - 29.6646i) q^{96} +1059.44 q^{97} +(175.918 - 389.610i) q^{98} -111.734 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 78 q - 5 q^{2} - 5 q^{3} - 53 q^{4} - 23 q^{5} + 19 q^{6} - 31 q^{8} - 174 q^{9} + 9 q^{10} - 103 q^{11} + 364 q^{12} - 35 q^{13} + 161 q^{14} - 245 q^{15} - 205 q^{16} - 285 q^{17} + 16 q^{18} + 628 q^{19} + 553 q^{20} - 21 q^{21} - 605 q^{22} + 149 q^{23} + 653 q^{24} - 370 q^{25} - 511 q^{26} - 65 q^{27} + 70 q^{28} - 187 q^{29} + 84 q^{30} + 1276 q^{31} + 1399 q^{32} - 23 q^{33} - 765 q^{34} - 805 q^{35} - 1691 q^{36} - 1531 q^{37} - 1041 q^{38} - 1351 q^{39} - 1759 q^{40} - 301 q^{41} + 3395 q^{42} - 257 q^{43} - 883 q^{44} + 3105 q^{45} + 1593 q^{46} + 733 q^{47} - 1948 q^{48} + 1288 q^{49} + 6148 q^{50} + 1197 q^{51} - 1099 q^{52} - 285 q^{53} + 660 q^{54} + 2641 q^{55} - 1988 q^{56} - 2352 q^{57} + 1173 q^{58} - 3603 q^{59} - 175 q^{60} - 2613 q^{61} - 1927 q^{62} - 3066 q^{63} + 1589 q^{64} - 371 q^{65} - 2175 q^{66} + 352 q^{67} + 6076 q^{68} + 5549 q^{69} - 6293 q^{70} - 2623 q^{71} + 6220 q^{72} + 2039 q^{73} - 2411 q^{74} - 3903 q^{75} + 4130 q^{76} + 1029 q^{77} - 3759 q^{78} + 44 q^{79} - 1608 q^{80} + 1394 q^{81} - 10920 q^{82} - 553 q^{83} - 7798 q^{84} + 497 q^{85} - 2985 q^{86} - 4273 q^{87} - 2197 q^{88} - 3957 q^{89} - 2958 q^{90} + 14119 q^{91} - 9136 q^{92} + 6272 q^{93} + 14912 q^{94} + 5866 q^{95} + 21882 q^{96} - 1540 q^{97} - 2303 q^{98} + 10768 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/49\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{7}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.777062 0.974405i 0.274733 0.344504i −0.625254 0.780421i \(-0.715005\pi\)
0.899987 + 0.435917i \(0.143576\pi\)
\(3\) −0.189548 0.0912813i −0.0364784 0.0175671i 0.415556 0.909568i \(-0.363587\pi\)
−0.452034 + 0.892001i \(0.649301\pi\)
\(4\) 1.43453 + 6.28508i 0.179316 + 0.785635i
\(5\) 7.66912 + 3.69325i 0.685947 + 0.330335i 0.744190 0.667968i \(-0.232836\pi\)
−0.0582431 + 0.998302i \(0.518550\pi\)
\(6\) −0.236235 + 0.113765i −0.0160738 + 0.00774071i
\(7\) 18.3768 2.30053i 0.992255 0.124217i
\(8\) 16.2220 + 7.81211i 0.716919 + 0.345250i
\(9\) −16.8066 21.0748i −0.622468 0.780550i
\(10\) 9.55811 4.60294i 0.302254 0.145558i
\(11\) 2.58443 3.24077i 0.0708394 0.0888299i −0.745149 0.666898i \(-0.767622\pi\)
0.815989 + 0.578068i \(0.196193\pi\)
\(12\) 0.301799 1.32227i 0.00726015 0.0318088i
\(13\) −11.7770 + 14.7678i −0.251257 + 0.315066i −0.891425 0.453169i \(-0.850293\pi\)
0.640168 + 0.768235i \(0.278865\pi\)
\(14\) 12.0383 19.6941i 0.229812 0.375962i
\(15\) −1.11654 1.40009i −0.0192193 0.0241002i
\(16\) −26.2486 + 12.6407i −0.410135 + 0.197510i
\(17\) −4.87109 + 21.3416i −0.0694948 + 0.304477i −0.997716 0.0675529i \(-0.978481\pi\)
0.928221 + 0.372030i \(0.121338\pi\)
\(18\) −33.5952 −0.439915
\(19\) −46.4772 −0.561190 −0.280595 0.959826i \(-0.590532\pi\)
−0.280595 + 0.959826i \(0.590532\pi\)
\(20\) −12.2108 + 53.4991i −0.136521 + 0.598138i
\(21\) −3.69328 1.24140i −0.0383780 0.0128998i
\(22\) −1.14956 5.03655i −0.0111403 0.0488089i
\(23\) −18.3535 80.4119i −0.166390 0.729002i −0.987420 0.158117i \(-0.949458\pi\)
0.821030 0.570884i \(-0.193400\pi\)
\(24\) −2.36174 2.96153i −0.0200870 0.0251884i
\(25\) −32.7609 41.0809i −0.262087 0.328647i
\(26\) 5.23843 + 22.9511i 0.0395131 + 0.173118i
\(27\) 2.52590 + 11.0667i 0.0180041 + 0.0788811i
\(28\) 40.8211 + 112.200i 0.275516 + 0.757276i
\(29\) 44.6635 195.683i 0.285993 1.25302i −0.603978 0.797001i \(-0.706419\pi\)
0.889971 0.456017i \(-0.150724\pi\)
\(30\) −2.23188 −0.0135828
\(31\) −276.703 −1.60314 −0.801570 0.597901i \(-0.796002\pi\)
−0.801570 + 0.597901i \(0.796002\pi\)
\(32\) −40.1317 + 175.829i −0.221699 + 0.971325i
\(33\) −0.785693 + 0.378370i −0.00414459 + 0.00199593i
\(34\) 17.0102 + 21.3302i 0.0858010 + 0.107591i
\(35\) 149.431 + 50.2272i 0.721668 + 0.242570i
\(36\) 108.347 135.863i 0.501609 0.628997i
\(37\) 48.3784 211.960i 0.214956 0.941782i −0.746188 0.665735i \(-0.768118\pi\)
0.961144 0.276047i \(-0.0890247\pi\)
\(38\) −36.1157 + 45.2876i −0.154177 + 0.193332i
\(39\) 3.58032 1.72419i 0.0147003 0.00707928i
\(40\) 95.5565 + 119.824i 0.377720 + 0.473646i
\(41\) 386.663 + 186.207i 1.47284 + 0.709284i 0.986390 0.164423i \(-0.0525762\pi\)
0.486453 + 0.873707i \(0.338291\pi\)
\(42\) −4.07953 + 2.63410i −0.0149877 + 0.00967739i
\(43\) 188.263 90.6627i 0.667670 0.321533i −0.0691650 0.997605i \(-0.522034\pi\)
0.736835 + 0.676072i \(0.236319\pi\)
\(44\) 24.0759 + 11.5943i 0.0824905 + 0.0397253i
\(45\) −51.0573 223.697i −0.169137 0.741039i
\(46\) −92.6155 44.6013i −0.296857 0.142959i
\(47\) −258.855 + 324.593i −0.803358 + 1.00738i 0.196282 + 0.980547i \(0.437113\pi\)
−0.999640 + 0.0268314i \(0.991458\pi\)
\(48\) 6.12922 0.0184308
\(49\) 332.415 84.5528i 0.969140 0.246510i
\(50\) −65.4867 −0.185224
\(51\) 2.87139 3.60061i 0.00788383 0.00988601i
\(52\) −109.711 52.8343i −0.292582 0.140900i
\(53\) 39.2802 + 172.098i 0.101803 + 0.446028i 0.999980 + 0.00639292i \(0.00203494\pi\)
−0.898177 + 0.439635i \(0.855108\pi\)
\(54\) 12.7462 + 6.13826i 0.0321212 + 0.0154687i
\(55\) 31.7893 15.3089i 0.0779357 0.0375319i
\(56\) 316.081 + 106.243i 0.754252 + 0.253522i
\(57\) 8.80964 + 4.24250i 0.0204713 + 0.00985847i
\(58\) −155.969 195.578i −0.353098 0.442771i
\(59\) 149.792 72.1360i 0.330530 0.159175i −0.261257 0.965269i \(-0.584137\pi\)
0.591787 + 0.806095i \(0.298423\pi\)
\(60\) 7.19800 9.02601i 0.0154876 0.0194209i
\(61\) −72.4363 + 317.364i −0.152041 + 0.666136i 0.840249 + 0.542201i \(0.182409\pi\)
−0.992290 + 0.123936i \(0.960448\pi\)
\(62\) −215.015 + 269.621i −0.440435 + 0.552288i
\(63\) −357.336 348.625i −0.714604 0.697184i
\(64\) −5.17349 6.48736i −0.0101045 0.0126706i
\(65\) −144.860 + 69.7611i −0.276427 + 0.133120i
\(66\) −0.241847 + 1.05960i −0.000451050 + 0.00197618i
\(67\) −809.291 −1.47568 −0.737841 0.674975i \(-0.764154\pi\)
−0.737841 + 0.674975i \(0.764154\pi\)
\(68\) −141.121 −0.251669
\(69\) −3.86124 + 16.9172i −0.00673680 + 0.0295158i
\(70\) 165.058 106.576i 0.281832 0.181975i
\(71\) 44.7834 + 196.209i 0.0748565 + 0.327968i 0.998466 0.0553667i \(-0.0176328\pi\)
−0.923610 + 0.383334i \(0.874776\pi\)
\(72\) −107.998 473.172i −0.176774 0.774498i
\(73\) −391.210 490.561i −0.627228 0.786519i 0.362113 0.932134i \(-0.382055\pi\)
−0.989341 + 0.145615i \(0.953484\pi\)
\(74\) −168.941 211.846i −0.265392 0.332792i
\(75\) 2.45983 + 10.7772i 0.00378716 + 0.0165926i
\(76\) −66.6729 292.113i −0.100630 0.440890i
\(77\) 40.0381 65.5006i 0.0592566 0.0969413i
\(78\) 1.10207 4.82849i 0.00159981 0.00700921i
\(79\) 69.4560 0.0989167 0.0494583 0.998776i \(-0.484250\pi\)
0.0494583 + 0.998776i \(0.484250\pi\)
\(80\) −247.989 −0.346575
\(81\) −161.420 + 707.229i −0.221427 + 0.970136i
\(82\) 481.902 232.072i 0.648989 0.312537i
\(83\) 441.287 + 553.356i 0.583585 + 0.731792i 0.982720 0.185100i \(-0.0592610\pi\)
−0.399135 + 0.916892i \(0.630690\pi\)
\(84\) 2.50419 24.9934i 0.00325273 0.0324643i
\(85\) −116.177 + 145.681i −0.148249 + 0.185898i
\(86\) 57.9498 253.895i 0.0726615 0.318351i
\(87\) −26.3281 + 33.0144i −0.0324445 + 0.0406841i
\(88\) 67.2419 32.3820i 0.0814546 0.0392265i
\(89\) 537.947 + 674.565i 0.640700 + 0.803413i 0.991090 0.133191i \(-0.0425225\pi\)
−0.350390 + 0.936604i \(0.613951\pi\)
\(90\) −257.646 124.076i −0.301758 0.145319i
\(91\) −182.449 + 298.479i −0.210175 + 0.343837i
\(92\) 479.067 230.706i 0.542893 0.261443i
\(93\) 52.4484 + 25.2578i 0.0584801 + 0.0281625i
\(94\) 115.139 + 504.458i 0.126337 + 0.553520i
\(95\) −356.440 171.652i −0.384947 0.185380i
\(96\) 23.6567 29.6646i 0.0251506 0.0315378i
\(97\) 1059.44 1.10896 0.554481 0.832196i \(-0.312917\pi\)
0.554481 + 0.832196i \(0.312917\pi\)
\(98\) 175.918 389.610i 0.181331 0.401597i
\(99\) −111.734 −0.113431
\(100\) 211.200 264.837i 0.211200 0.264837i
\(101\) 889.783 + 428.497i 0.876601 + 0.422149i 0.817382 0.576096i \(-0.195425\pi\)
0.0592190 + 0.998245i \(0.481139\pi\)
\(102\) −1.27720 5.59580i −0.00123982 0.00543202i
\(103\) −766.990 369.363i −0.733726 0.353344i 0.0294226 0.999567i \(-0.490633\pi\)
−0.763148 + 0.646223i \(0.776347\pi\)
\(104\) −306.414 + 147.561i −0.288908 + 0.139131i
\(105\) −23.7394 23.1607i −0.0220641 0.0215262i
\(106\) 198.216 + 95.4559i 0.181627 + 0.0874669i
\(107\) 1011.63 + 1268.54i 0.914000 + 1.14612i 0.988849 + 0.148925i \(0.0475812\pi\)
−0.0748488 + 0.997195i \(0.523847\pi\)
\(108\) −65.9317 + 31.7510i −0.0587433 + 0.0282893i
\(109\) 743.116 931.838i 0.653006 0.818843i −0.339556 0.940586i \(-0.610277\pi\)
0.992562 + 0.121743i \(0.0388482\pi\)
\(110\) 9.78516 42.8716i 0.00848162 0.0371604i
\(111\) −28.5179 + 35.7604i −0.0243856 + 0.0305786i
\(112\) −453.286 + 292.681i −0.382424 + 0.246926i
\(113\) −918.631 1151.93i −0.764757 0.958975i 0.235159 0.971957i \(-0.424439\pi\)
−0.999916 + 0.0129823i \(0.995867\pi\)
\(114\) 10.9795 5.28747i 0.00902043 0.00434401i
\(115\) 156.226 684.473i 0.126680 0.555021i
\(116\) 1293.96 1.03570
\(117\) 509.161 0.402325
\(118\) 46.1079 202.012i 0.0359710 0.157599i
\(119\) −40.4180 + 403.397i −0.0311354 + 0.310751i
\(120\) −7.17481 31.4349i −0.00545806 0.0239133i
\(121\) 292.352 + 1280.88i 0.219648 + 0.962343i
\(122\) 252.954 + 317.194i 0.187716 + 0.235388i
\(123\) −56.2937 70.5901i −0.0412670 0.0517471i
\(124\) −396.938 1739.10i −0.287469 1.25948i
\(125\) −336.290 1473.38i −0.240629 1.05427i
\(126\) −617.373 + 77.2868i −0.436508 + 0.0546449i
\(127\) −412.014 + 1805.15i −0.287877 + 1.26127i 0.599556 + 0.800333i \(0.295344\pi\)
−0.887432 + 0.460938i \(0.847513\pi\)
\(128\) −1453.14 −1.00345
\(129\) −43.9606 −0.0300040
\(130\) −44.5900 + 195.361i −0.0300831 + 0.131802i
\(131\) −959.091 + 461.874i −0.639665 + 0.308047i −0.725458 0.688266i \(-0.758372\pi\)
0.0857928 + 0.996313i \(0.472658\pi\)
\(132\) −3.50518 4.39536i −0.00231127 0.00289824i
\(133\) −854.104 + 106.922i −0.556843 + 0.0697093i
\(134\) −628.869 + 788.577i −0.405418 + 0.508378i
\(135\) −21.5007 + 94.2008i −0.0137073 + 0.0600556i
\(136\) −245.742 + 308.151i −0.154943 + 0.194292i
\(137\) 1426.58 687.006i 0.889643 0.428430i 0.0675060 0.997719i \(-0.478496\pi\)
0.822137 + 0.569289i \(0.192782\pi\)
\(138\) 13.4838 + 16.9081i 0.00831750 + 0.0104298i
\(139\) −2822.28 1359.14i −1.72218 0.829358i −0.988747 0.149597i \(-0.952202\pi\)
−0.733433 0.679762i \(-0.762083\pi\)
\(140\) −101.320 + 1011.24i −0.0611649 + 0.610464i
\(141\) 78.6945 37.8973i 0.0470020 0.0226349i
\(142\) 225.986 + 108.829i 0.133552 + 0.0643151i
\(143\) 17.4225 + 76.3328i 0.0101884 + 0.0446383i
\(144\) 707.551 + 340.739i 0.409462 + 0.197187i
\(145\) 1065.24 1335.77i 0.610091 0.765030i
\(146\) −781.999 −0.443279
\(147\) −70.7266 14.3165i −0.0396832 0.00803268i
\(148\) 1401.58 0.778442
\(149\) −16.6867 + 20.9245i −0.00917469 + 0.0115047i −0.786398 0.617721i \(-0.788056\pi\)
0.777223 + 0.629225i \(0.216628\pi\)
\(150\) 12.4128 + 5.97771i 0.00675669 + 0.00325385i
\(151\) 128.306 + 562.147i 0.0691486 + 0.302960i 0.997662 0.0683387i \(-0.0217698\pi\)
−0.928514 + 0.371298i \(0.878913\pi\)
\(152\) −753.954 363.085i −0.402327 0.193751i
\(153\) 531.638 256.023i 0.280918 0.135283i
\(154\) −32.7120 89.9113i −0.0171169 0.0470471i
\(155\) −2122.07 1021.94i −1.09967 0.529573i
\(156\) 15.9728 + 20.0292i 0.00819772 + 0.0102796i
\(157\) 1576.92 759.404i 0.801603 0.386032i 0.0122146 0.999925i \(-0.496112\pi\)
0.789389 + 0.613894i \(0.210398\pi\)
\(158\) 53.9716 67.6783i 0.0271756 0.0340772i
\(159\) 8.26385 36.2063i 0.00412180 0.0180588i
\(160\) −957.155 + 1200.23i −0.472936 + 0.593043i
\(161\) −522.269 1435.49i −0.255656 0.702687i
\(162\) 563.694 + 706.849i 0.273382 + 0.342811i
\(163\) −1671.09 + 804.754i −0.803005 + 0.386707i −0.789922 0.613208i \(-0.789879\pi\)
−0.0130831 + 0.999914i \(0.504165\pi\)
\(164\) −615.647 + 2697.32i −0.293134 + 1.28430i
\(165\) −7.42299 −0.00350230
\(166\) 882.100 0.412435
\(167\) 364.776 1598.19i 0.169025 0.740549i −0.817364 0.576122i \(-0.804565\pi\)
0.986389 0.164427i \(-0.0525775\pi\)
\(168\) −50.2144 48.9903i −0.0230603 0.0224981i
\(169\) 409.486 + 1794.08i 0.186384 + 0.816603i
\(170\) 51.6759 + 226.407i 0.0233139 + 0.102145i
\(171\) 781.125 + 979.500i 0.349323 + 0.438037i
\(172\) 839.890 + 1053.19i 0.372332 + 0.466889i
\(173\) −327.191 1433.52i −0.143791 0.629990i −0.994534 0.104409i \(-0.966705\pi\)
0.850743 0.525581i \(-0.176152\pi\)
\(174\) 11.7108 + 51.3084i 0.00510227 + 0.0223545i
\(175\) −696.549 679.569i −0.300881 0.293546i
\(176\) −26.8721 + 117.735i −0.0115089 + 0.0504237i
\(177\) −34.9773 −0.0148534
\(178\) 1075.32 0.452800
\(179\) 710.873 3114.54i 0.296833 1.30051i −0.577980 0.816051i \(-0.696159\pi\)
0.874813 0.484461i \(-0.160984\pi\)
\(180\) 1332.71 641.799i 0.551857 0.265760i
\(181\) 2134.95 + 2677.14i 0.876737 + 1.09939i 0.994331 + 0.106331i \(0.0339104\pi\)
−0.117594 + 0.993062i \(0.537518\pi\)
\(182\) 149.065 + 409.716i 0.0607113 + 0.166869i
\(183\) 42.6995 53.5435i 0.0172483 0.0216287i
\(184\) 330.456 1447.82i 0.132400 0.580081i
\(185\) 1153.84 1446.87i 0.458552 0.575006i
\(186\) 65.3670 31.4791i 0.0257685 0.0124094i
\(187\) 56.5743 + 70.9419i 0.0221236 + 0.0277422i
\(188\) −2411.43 1161.28i −0.935487 0.450507i
\(189\) 71.8774 + 197.560i 0.0276630 + 0.0760337i
\(190\) −444.234 + 213.932i −0.169622 + 0.0816855i
\(191\) 2267.15 + 1091.80i 0.858874 + 0.413612i 0.810864 0.585235i \(-0.198998\pi\)
0.0480101 + 0.998847i \(0.484712\pi\)
\(192\) 0.388449 + 1.70191i 0.000146010 + 0.000639711i
\(193\) −1264.46 608.932i −0.471595 0.227108i 0.182963 0.983120i \(-0.441431\pi\)
−0.654558 + 0.756012i \(0.727145\pi\)
\(194\) 823.247 1032.32i 0.304668 0.382042i
\(195\) 33.8258 0.0124221
\(196\) 1008.28 + 1967.96i 0.367449 + 0.717187i
\(197\) −1587.00 −0.573956 −0.286978 0.957937i \(-0.592651\pi\)
−0.286978 + 0.957937i \(0.592651\pi\)
\(198\) −86.8244 + 108.874i −0.0311633 + 0.0390776i
\(199\) 2899.11 + 1396.14i 1.03273 + 0.497335i 0.871919 0.489651i \(-0.162876\pi\)
0.160808 + 0.986986i \(0.448590\pi\)
\(200\) −210.520 922.347i −0.0744299 0.326099i
\(201\) 153.399 + 73.8731i 0.0538306 + 0.0259234i
\(202\) 1108.95 534.040i 0.386263 0.186014i
\(203\) 370.597 3698.79i 0.128132 1.27884i
\(204\) 26.7492 + 12.8818i 0.00918049 + 0.00442109i
\(205\) 2277.65 + 2856.09i 0.775991 + 0.973062i
\(206\) −955.907 + 460.341i −0.323307 + 0.155696i
\(207\) −1386.21 + 1738.25i −0.465450 + 0.583656i
\(208\) 122.454 536.504i 0.0408203 0.178846i
\(209\) −120.117 + 150.622i −0.0397544 + 0.0498504i
\(210\) −41.0148 + 5.13450i −0.0134776 + 0.00168721i
\(211\) 874.334 + 1096.38i 0.285268 + 0.357715i 0.903732 0.428098i \(-0.140816\pi\)
−0.618464 + 0.785813i \(0.712245\pi\)
\(212\) −1025.30 + 493.759i −0.332160 + 0.159960i
\(213\) 9.42162 41.2788i 0.00303079 0.0132788i
\(214\) 2022.17 0.645948
\(215\) 1778.65 0.564200
\(216\) −45.4791 + 199.257i −0.0143262 + 0.0627672i
\(217\) −5084.92 + 636.564i −1.59072 + 0.199137i
\(218\) −330.540 1448.19i −0.102693 0.449926i
\(219\) 29.3738 + 128.695i 0.00906345 + 0.0397095i
\(220\) 141.820 + 177.837i 0.0434615 + 0.0544989i
\(221\) −257.803 323.275i −0.0784693 0.0983974i
\(222\) 12.6849 + 55.5760i 0.00383492 + 0.0168019i
\(223\) 29.0554 + 127.300i 0.00872508 + 0.0382271i 0.979103 0.203365i \(-0.0651877\pi\)
−0.970378 + 0.241592i \(0.922331\pi\)
\(224\) −332.995 + 3323.50i −0.0993265 + 0.991341i
\(225\) −315.173 + 1380.86i −0.0933845 + 0.409144i
\(226\) −1836.28 −0.540474
\(227\) −4046.40 −1.18312 −0.591562 0.806259i \(-0.701489\pi\)
−0.591562 + 0.806259i \(0.701489\pi\)
\(228\) −14.0268 + 61.4553i −0.00407432 + 0.0178508i
\(229\) −4657.91 + 2243.13i −1.34412 + 0.647293i −0.961037 0.276421i \(-0.910852\pi\)
−0.383082 + 0.923714i \(0.625137\pi\)
\(230\) −545.556 684.105i −0.156404 0.196124i
\(231\) −13.5681 + 8.76075i −0.00386457 + 0.00249530i
\(232\) 2253.23 2825.47i 0.637638 0.799573i
\(233\) 1190.56 5216.18i 0.334748 1.46662i −0.475073 0.879947i \(-0.657578\pi\)
0.809820 0.586678i \(-0.199565\pi\)
\(234\) 395.650 496.129i 0.110532 0.138602i
\(235\) −3183.99 + 1533.33i −0.883833 + 0.425632i
\(236\) 668.261 + 837.973i 0.184322 + 0.231133i
\(237\) −13.1652 6.34004i −0.00360833 0.00173768i
\(238\) 361.665 + 352.848i 0.0985011 + 0.0960998i
\(239\) −1278.15 + 615.524i −0.345927 + 0.166590i −0.598777 0.800916i \(-0.704346\pi\)
0.252850 + 0.967506i \(0.418632\pi\)
\(240\) 47.0057 + 22.6368i 0.0126425 + 0.00608832i
\(241\) −1060.04 4644.33i −0.283332 1.24136i −0.893492 0.449080i \(-0.851752\pi\)
0.610160 0.792278i \(-0.291105\pi\)
\(242\) 1475.27 + 710.452i 0.391876 + 0.188717i
\(243\) 286.244 358.939i 0.0755661 0.0947569i
\(244\) −2098.57 −0.550603
\(245\) 2861.61 + 579.248i 0.746210 + 0.151048i
\(246\) −112.527 −0.0291645
\(247\) 547.361 686.369i 0.141003 0.176812i
\(248\) −4488.68 2161.64i −1.14932 0.553484i
\(249\) −33.1338 145.169i −0.00843280 0.0369465i
\(250\) −1696.99 817.227i −0.429308 0.206744i
\(251\) 6654.27 3204.53i 1.67336 0.805849i 0.675725 0.737154i \(-0.263831\pi\)
0.997638 0.0686956i \(-0.0218837\pi\)
\(252\) 1678.52 2745.99i 0.419592 0.686434i
\(253\) −308.030 148.339i −0.0765441 0.0368617i
\(254\) 1438.79 + 1804.18i 0.355424 + 0.445687i
\(255\) 35.3190 17.0088i 0.00867359 0.00417698i
\(256\) −1087.79 + 1364.05i −0.265575 + 0.333020i
\(257\) −1640.45 + 7187.28i −0.398165 + 1.74447i 0.236448 + 0.971644i \(0.424017\pi\)
−0.634613 + 0.772830i \(0.718840\pi\)
\(258\) −34.1601 + 42.8354i −0.00824308 + 0.0103365i
\(259\) 401.422 4006.44i 0.0963055 0.961189i
\(260\) −646.260 810.385i −0.154151 0.193300i
\(261\) −4874.64 + 2347.50i −1.15606 + 0.556731i
\(262\) −295.221 + 1293.45i −0.0696137 + 0.304998i
\(263\) −2202.52 −0.516401 −0.258201 0.966091i \(-0.583130\pi\)
−0.258201 + 0.966091i \(0.583130\pi\)
\(264\) −15.7014 −0.00366043
\(265\) −334.357 + 1464.91i −0.0775070 + 0.339580i
\(266\) −559.506 + 915.328i −0.128968 + 0.210986i
\(267\) −40.3915 176.967i −0.00925812 0.0405625i
\(268\) −1160.95 5086.46i −0.264613 1.15935i
\(269\) −513.275 643.626i −0.116338 0.145883i 0.720253 0.693712i \(-0.244026\pi\)
−0.836590 + 0.547829i \(0.815455\pi\)
\(270\) 75.0823 + 94.1502i 0.0169236 + 0.0212215i
\(271\) 1137.11 + 4982.00i 0.254887 + 1.11673i 0.926638 + 0.375956i \(0.122686\pi\)
−0.671751 + 0.740777i \(0.734457\pi\)
\(272\) −141.913 621.762i −0.0316351 0.138602i
\(273\) 61.8284 39.9218i 0.0137071 0.00885047i
\(274\) 439.121 1923.91i 0.0968185 0.424189i
\(275\) −217.802 −0.0477598
\(276\) −111.865 −0.0243967
\(277\) 211.636 927.240i 0.0459061 0.201128i −0.946774 0.321898i \(-0.895679\pi\)
0.992681 + 0.120770i \(0.0385364\pi\)
\(278\) −3517.44 + 1693.91i −0.758857 + 0.365446i
\(279\) 4650.45 + 5831.48i 0.997903 + 1.25133i
\(280\) 2031.68 + 1982.16i 0.433630 + 0.423059i
\(281\) 432.533 542.379i 0.0918247 0.115145i −0.733797 0.679369i \(-0.762253\pi\)
0.825621 + 0.564225i \(0.190825\pi\)
\(282\) 24.2232 106.129i 0.00511515 0.0224109i
\(283\) 1015.73 1273.69i 0.213353 0.267537i −0.663626 0.748064i \(-0.730983\pi\)
0.876980 + 0.480528i \(0.159555\pi\)
\(284\) −1168.95 + 562.934i −0.244240 + 0.117620i
\(285\) 51.8936 + 65.0725i 0.0107857 + 0.0135248i
\(286\) 87.9174 + 42.3388i 0.0181771 + 0.00875365i
\(287\) 7534.00 + 2532.36i 1.54954 + 0.520838i
\(288\) 4380.04 2109.32i 0.896168 0.431572i
\(289\) 3994.72 + 1923.76i 0.813092 + 0.391565i
\(290\) −473.821 2075.95i −0.0959440 0.420358i
\(291\) −200.813 96.7066i −0.0404532 0.0194813i
\(292\) 2522.02 3162.51i 0.505445 0.633807i
\(293\) 2804.83 0.559248 0.279624 0.960110i \(-0.409790\pi\)
0.279624 + 0.960110i \(0.409790\pi\)
\(294\) −68.9090 + 57.7915i −0.0136696 + 0.0114642i
\(295\) 1415.19 0.279307
\(296\) 2440.65 3060.48i 0.479256 0.600968i
\(297\) 42.3927 + 20.4152i 0.00828239 + 0.00398859i
\(298\) 7.42230 + 32.5192i 0.00144283 + 0.00632144i
\(299\) 1403.66 + 675.967i 0.271491 + 0.130743i
\(300\) −64.2071 + 30.9205i −0.0123567 + 0.00595065i
\(301\) 3251.10 2099.20i 0.622560 0.401979i
\(302\) 647.461 + 311.801i 0.123368 + 0.0594110i
\(303\) −129.542 162.441i −0.0245611 0.0307987i
\(304\) 1219.96 587.503i 0.230163 0.110841i
\(305\) −1727.63 + 2166.38i −0.324340 + 0.406710i
\(306\) 163.645 716.976i 0.0305718 0.133944i
\(307\) −4980.14 + 6244.90i −0.925836 + 1.16096i 0.0608211 + 0.998149i \(0.480628\pi\)
−0.986657 + 0.162813i \(0.947943\pi\)
\(308\) 469.112 + 157.680i 0.0867861 + 0.0291709i
\(309\) 111.665 + 140.024i 0.0205579 + 0.0257788i
\(310\) −2644.76 + 1273.65i −0.484555 + 0.233350i
\(311\) −628.340 + 2752.94i −0.114566 + 0.501945i 0.884788 + 0.465994i \(0.154303\pi\)
−0.999354 + 0.0359509i \(0.988554\pi\)
\(312\) 71.5497 0.0129830
\(313\) 3639.11 0.657171 0.328585 0.944474i \(-0.393428\pi\)
0.328585 + 0.944474i \(0.393428\pi\)
\(314\) 485.396 2126.66i 0.0872372 0.382211i
\(315\) −1452.89 3993.38i −0.259877 0.714290i
\(316\) 99.6367 + 436.537i 0.0177373 + 0.0777124i
\(317\) −745.396 3265.79i −0.132068 0.578628i −0.997045 0.0768168i \(-0.975524\pi\)
0.864977 0.501811i \(-0.167333\pi\)
\(318\) −28.8580 36.1868i −0.00508893 0.00638131i
\(319\) −518.735 650.474i −0.0910458 0.114168i
\(320\) −15.7167 68.8594i −0.00274559 0.0120292i
\(321\) −75.9577 332.792i −0.0132073 0.0578650i
\(322\) −1804.59 606.565i −0.312316 0.104977i
\(323\) 226.395 991.899i 0.0389998 0.170869i
\(324\) −4676.55 −0.801878
\(325\) 992.501 0.169397
\(326\) −514.383 + 2253.66i −0.0873897 + 0.382879i
\(327\) −225.915 + 108.795i −0.0382053 + 0.0183987i
\(328\) 4817.78 + 6041.30i 0.811028 + 1.01700i
\(329\) −4010.19 + 6560.50i −0.672002 + 1.09937i
\(330\) −5.76812 + 7.23300i −0.000962196 + 0.00120656i
\(331\) 2610.61 11437.8i 0.433511 1.89933i −0.00373758 0.999993i \(-0.501190\pi\)
0.437248 0.899341i \(-0.355953\pi\)
\(332\) −2844.85 + 3567.33i −0.470275 + 0.589706i
\(333\) −5280.09 + 2542.76i −0.868911 + 0.418445i
\(334\) −1273.83 1597.33i −0.208685 0.261683i
\(335\) −6206.55 2988.92i −1.01224 0.487469i
\(336\) 112.636 14.1004i 0.0182880 0.00228941i
\(337\) 1992.46 959.519i 0.322066 0.155099i −0.265864 0.964011i \(-0.585657\pi\)
0.587930 + 0.808912i \(0.299943\pi\)
\(338\) 2066.35 + 995.102i 0.332529 + 0.160137i
\(339\) 68.9749 + 302.199i 0.0110507 + 0.0484164i
\(340\) −1082.28 521.198i −0.172632 0.0831350i
\(341\) −715.119 + 896.731i −0.113566 + 0.142407i
\(342\) 1561.41 0.246876
\(343\) 5914.22 2318.54i 0.931014 0.364984i
\(344\) 3762.27 0.589675
\(345\) −92.0919 + 115.480i −0.0143712 + 0.0180209i
\(346\) −1651.07 795.114i −0.256538 0.123542i
\(347\) −922.316 4040.93i −0.142687 0.625154i −0.994805 0.101803i \(-0.967539\pi\)
0.852117 0.523351i \(-0.175318\pi\)
\(348\) −245.266 118.114i −0.0377806 0.0181942i
\(349\) −115.471 + 55.6078i −0.0177106 + 0.00852898i −0.442718 0.896661i \(-0.645986\pi\)
0.425007 + 0.905190i \(0.360271\pi\)
\(350\) −1203.44 + 150.654i −0.183790 + 0.0230080i
\(351\) −193.179 93.0301i −0.0293764 0.0141469i
\(352\) 466.102 + 584.474i 0.0705777 + 0.0885016i
\(353\) −7903.61 + 3806.18i −1.19169 + 0.573888i −0.921296 0.388861i \(-0.872869\pi\)
−0.270395 + 0.962750i \(0.587154\pi\)
\(354\) −27.1796 + 34.0821i −0.00408073 + 0.00511707i
\(355\) −381.200 + 1670.15i −0.0569915 + 0.249696i
\(356\) −3467.99 + 4348.72i −0.516301 + 0.647421i
\(357\) 44.4838 72.7736i 0.00659476 0.0107888i
\(358\) −2482.43 3112.87i −0.366482 0.459553i
\(359\) −1050.36 + 505.827i −0.154418 + 0.0743636i −0.509496 0.860473i \(-0.670168\pi\)
0.355079 + 0.934836i \(0.384454\pi\)
\(360\) 919.291 4027.68i 0.134586 0.589659i
\(361\) −4698.87 −0.685066
\(362\) 4267.60 0.619614
\(363\) 61.5056 269.474i 0.00889313 0.0389633i
\(364\) −2137.70 718.531i −0.307818 0.103465i
\(365\) −1188.47 5207.01i −0.170431 0.746706i
\(366\) −18.9929 83.2132i −0.00271250 0.0118842i
\(367\) −442.098 554.374i −0.0628811 0.0788504i 0.749396 0.662122i \(-0.230344\pi\)
−0.812277 + 0.583271i \(0.801772\pi\)
\(368\) 1498.21 + 1878.70i 0.212228 + 0.266125i
\(369\) −2574.21 11278.4i −0.363166 1.59113i
\(370\) −513.232 2248.61i −0.0721126 0.315946i
\(371\) 1117.76 + 3072.25i 0.156419 + 0.429928i
\(372\) −83.5087 + 365.875i −0.0116390 + 0.0509940i
\(373\) −10232.3 −1.42039 −0.710196 0.704004i \(-0.751393\pi\)
−0.710196 + 0.704004i \(0.751393\pi\)
\(374\) 113.088 0.0156354
\(375\) −70.7493 + 309.973i −0.00974261 + 0.0426852i
\(376\) −6734.90 + 3243.36i −0.923740 + 0.444850i
\(377\) 2363.82 + 2964.14i 0.322926 + 0.404936i
\(378\) 248.357 + 83.4787i 0.0337939 + 0.0113589i
\(379\) −891.862 + 1118.36i −0.120876 + 0.151573i −0.838587 0.544767i \(-0.816618\pi\)
0.717712 + 0.696340i \(0.245190\pi\)
\(380\) 567.525 2486.49i 0.0766143 0.335669i
\(381\) 242.873 304.553i 0.0326582 0.0409520i
\(382\) 2825.57 1360.72i 0.378452 0.182253i
\(383\) 7720.69 + 9681.43i 1.03005 + 1.29164i 0.955679 + 0.294409i \(0.0951229\pi\)
0.0743691 + 0.997231i \(0.476306\pi\)
\(384\) 275.440 + 132.645i 0.0366041 + 0.0176276i
\(385\) 548.967 354.461i 0.0726700 0.0469221i
\(386\) −1575.91 + 758.918i −0.207802 + 0.100072i
\(387\) −5074.77 2443.88i −0.666576 0.321006i
\(388\) 1519.79 + 6658.64i 0.198855 + 0.871240i
\(389\) 6064.35 + 2920.44i 0.790423 + 0.380648i 0.785124 0.619338i \(-0.212599\pi\)
0.00529882 + 0.999986i \(0.498313\pi\)
\(390\) 26.2847 32.9600i 0.00341277 0.00427948i
\(391\) 1805.52 0.233527
\(392\) 6052.98 + 1225.25i 0.779902 + 0.157868i
\(393\) 223.954 0.0287455
\(394\) −1233.20 + 1546.38i −0.157685 + 0.197730i
\(395\) 532.667 + 256.519i 0.0678516 + 0.0326756i
\(396\) −160.286 702.258i −0.0203401 0.0891157i
\(397\) −10947.6 5272.08i −1.38399 0.666494i −0.414143 0.910212i \(-0.635919\pi\)
−0.969846 + 0.243718i \(0.921633\pi\)
\(398\) 3613.19 1740.02i 0.455058 0.219144i
\(399\) 171.653 + 57.6968i 0.0215374 + 0.00723923i
\(400\) 1379.22 + 664.197i 0.172402 + 0.0830246i
\(401\) 9919.07 + 12438.1i 1.23525 + 1.54895i 0.724613 + 0.689157i \(0.242019\pi\)
0.510636 + 0.859797i \(0.329410\pi\)
\(402\) 191.183 92.0689i 0.0237197 0.0114228i
\(403\) 3258.72 4086.31i 0.402800 0.505096i
\(404\) −1416.72 + 6207.04i −0.174466 + 0.764386i
\(405\) −3849.93 + 4827.66i −0.472357 + 0.592317i
\(406\) −3316.14 3235.30i −0.405363 0.395481i
\(407\) −561.882 704.577i −0.0684310 0.0858098i
\(408\) 74.7082 35.9776i 0.00906521 0.00436558i
\(409\) 1822.05 7982.90i 0.220280 0.965108i −0.736988 0.675905i \(-0.763753\pi\)
0.957268 0.289203i \(-0.0933901\pi\)
\(410\) 4552.86 0.548414
\(411\) −333.116 −0.0399791
\(412\) 1221.21 5350.45i 0.146030 0.639801i
\(413\) 2586.75 1670.23i 0.308197 0.198999i
\(414\) 616.590 + 2701.46i 0.0731974 + 0.320699i
\(415\) 1340.60 + 5873.54i 0.158572 + 0.694749i
\(416\) −2123.98 2663.39i −0.250329 0.313902i
\(417\) 410.893 + 515.243i 0.0482530 + 0.0605074i
\(418\) 53.4284 + 234.085i 0.00625184 + 0.0273911i
\(419\) −3083.42 13509.4i −0.359511 1.57512i −0.754415 0.656398i \(-0.772079\pi\)
0.394904 0.918723i \(-0.370778\pi\)
\(420\) 111.512 182.428i 0.0129553 0.0211943i
\(421\) 1042.61 4567.98i 0.120698 0.528812i −0.878040 0.478587i \(-0.841149\pi\)
0.998738 0.0502246i \(-0.0159937\pi\)
\(422\) 1747.73 0.201607
\(423\) 11191.2 1.28637
\(424\) −707.244 + 3098.64i −0.0810066 + 0.354913i
\(425\) 1036.31 499.063i 0.118279 0.0569602i
\(426\) −32.9011 41.2566i −0.00374193 0.00469223i
\(427\) −601.043 + 5998.79i −0.0681183 + 0.679863i
\(428\) −6521.69 + 8177.94i −0.736537 + 0.923588i
\(429\) 3.66537 16.0590i 0.000412508 0.00180731i
\(430\) 1382.12 1733.13i 0.155004 0.194369i
\(431\) 9609.19 4627.54i 1.07392 0.517171i 0.188550 0.982064i \(-0.439621\pi\)
0.885367 + 0.464892i \(0.153907\pi\)
\(432\) −206.192 258.557i −0.0229639 0.0287959i
\(433\) −5665.85 2728.53i −0.628830 0.302829i 0.0921912 0.995741i \(-0.470613\pi\)
−0.721022 + 0.692913i \(0.756327\pi\)
\(434\) −3331.03 + 5449.42i −0.368421 + 0.602720i
\(435\) −323.844 + 155.955i −0.0356945 + 0.0171896i
\(436\) 6922.70 + 3333.80i 0.760406 + 0.366192i
\(437\) 853.019 + 3737.32i 0.0933763 + 0.409108i
\(438\) 148.226 + 71.3819i 0.0161701 + 0.00778712i
\(439\) 9590.40 12026.0i 1.04265 1.30745i 0.0924837 0.995714i \(-0.470519\pi\)
0.950170 0.311732i \(-0.100909\pi\)
\(440\) 635.281 0.0688314
\(441\) −7368.72 5584.55i −0.795672 0.603018i
\(442\) −515.330 −0.0554564
\(443\) 6152.54 7715.04i 0.659855 0.827432i −0.333472 0.942760i \(-0.608220\pi\)
0.993328 + 0.115328i \(0.0367918\pi\)
\(444\) −265.667 127.938i −0.0283963 0.0136750i
\(445\) 1634.25 + 7160.10i 0.174091 + 0.762744i
\(446\) 146.620 + 70.6083i 0.0155665 + 0.00749641i
\(447\) 5.07294 2.44300i 0.000536782 0.000258501i
\(448\) −109.997 107.315i −0.0116001 0.0113173i
\(449\) 3971.57 + 1912.61i 0.417438 + 0.201028i 0.630800 0.775946i \(-0.282727\pi\)
−0.213362 + 0.976973i \(0.568441\pi\)
\(450\) 1100.61 + 1380.12i 0.115296 + 0.144577i
\(451\) 1602.75 771.846i 0.167341 0.0805871i
\(452\) 5922.15 7426.14i 0.616271 0.772779i
\(453\) 26.9934 118.266i 0.00279969 0.0122662i
\(454\) −3144.30 + 3942.83i −0.325043 + 0.407591i
\(455\) −2501.59 + 1615.24i −0.257750 + 0.166426i
\(456\) 109.767 + 137.644i 0.0112726 + 0.0141354i
\(457\) −11938.3 + 5749.20i −1.22200 + 0.588482i −0.929867 0.367897i \(-0.880078\pi\)
−0.292129 + 0.956379i \(0.594364\pi\)
\(458\) −1433.77 + 6281.74i −0.146278 + 0.640887i
\(459\) −248.485 −0.0252686
\(460\) 4526.08 0.458760
\(461\) 3723.25 16312.6i 0.376158 1.64806i −0.332941 0.942947i \(-0.608041\pi\)
0.709100 0.705108i \(-0.249102\pi\)
\(462\) −2.00673 + 20.0284i −0.000202082 + 0.00201690i
\(463\) 2779.92 + 12179.6i 0.279036 + 1.22254i 0.899015 + 0.437918i \(0.144284\pi\)
−0.619979 + 0.784619i \(0.712859\pi\)
\(464\) 1301.22 + 5701.00i 0.130188 + 0.570393i
\(465\) 308.950 + 387.411i 0.0308112 + 0.0386360i
\(466\) −4157.54 5213.38i −0.413292 0.518252i
\(467\) −2383.24 10441.7i −0.236152 1.03465i −0.944429 0.328716i \(-0.893384\pi\)
0.708277 0.705935i \(-0.249473\pi\)
\(468\) 730.406 + 3200.12i 0.0721432 + 0.316080i
\(469\) −14872.2 + 1861.80i −1.46425 + 0.183305i
\(470\) −980.075 + 4293.99i −0.0961862 + 0.421419i
\(471\) −368.220 −0.0360227
\(472\) 2993.46 0.291918
\(473\) 192.735 844.428i 0.0187357 0.0820863i
\(474\) −16.4080 + 7.90165i −0.00158996 + 0.000765685i
\(475\) 1522.64 + 1909.33i 0.147081 + 0.184433i
\(476\) −2593.36 + 324.654i −0.249720 + 0.0312616i
\(477\) 2966.77 3720.21i 0.284778 0.357100i
\(478\) −393.431 + 1723.73i −0.0376467 + 0.164941i
\(479\) −1701.95 + 2134.18i −0.162347 + 0.203577i −0.856351 0.516395i \(-0.827274\pi\)
0.694004 + 0.719971i \(0.255845\pi\)
\(480\) 290.985 140.131i 0.0276700 0.0133252i
\(481\) 2560.44 + 3210.69i 0.242715 + 0.304355i
\(482\) −5349.17 2576.02i −0.505493 0.243433i
\(483\) −32.0388 + 319.767i −0.00301825 + 0.0301241i
\(484\) −7631.03 + 3674.91i −0.716663 + 0.345127i
\(485\) 8124.94 + 3912.77i 0.760690 + 0.366329i
\(486\) −127.322 557.835i −0.0118836 0.0520657i
\(487\) 1596.84 + 768.997i 0.148583 + 0.0715536i 0.506697 0.862124i \(-0.330866\pi\)
−0.358115 + 0.933678i \(0.616580\pi\)
\(488\) −3654.35 + 4582.41i −0.338985 + 0.425073i
\(489\) 390.210 0.0360857
\(490\) 2788.07 2338.25i 0.257045 0.215574i
\(491\) −20216.2 −1.85814 −0.929068 0.369909i \(-0.879389\pi\)
−0.929068 + 0.369909i \(0.879389\pi\)
\(492\) 362.909 455.074i 0.0332545 0.0416998i
\(493\) 3958.64 + 1906.38i 0.361640 + 0.174156i
\(494\) −243.468 1066.70i −0.0221743 0.0971522i
\(495\) −856.903 412.663i −0.0778079 0.0374703i
\(496\) 7263.07 3497.71i 0.657503 0.316637i
\(497\) 1274.36 + 3502.67i 0.115016 + 0.316129i
\(498\) −167.200 80.5192i −0.0150450 0.00724528i
\(499\) 871.661 + 1093.03i 0.0781982 + 0.0980574i 0.819392 0.573234i \(-0.194311\pi\)
−0.741194 + 0.671291i \(0.765740\pi\)
\(500\) 8777.91 4227.22i 0.785120 0.378094i
\(501\) −215.027 + 269.636i −0.0191751 + 0.0240448i
\(502\) 2048.27 8974.07i 0.182109 0.797873i
\(503\) −10825.3 + 13574.5i −0.959598 + 1.20330i 0.0194794 + 0.999810i \(0.493799\pi\)
−0.979077 + 0.203488i \(0.934772\pi\)
\(504\) −3073.21 8446.94i −0.271611 0.746541i
\(505\) 5241.30 + 6572.39i 0.461851 + 0.579143i
\(506\) −383.900 + 184.877i −0.0337282 + 0.0162426i
\(507\) 86.1485 377.441i 0.00754633 0.0330626i
\(508\) −11936.6 −1.04252
\(509\) −3614.55 −0.314759 −0.157379 0.987538i \(-0.550305\pi\)
−0.157379 + 0.987538i \(0.550305\pi\)
\(510\) 10.8717 47.6319i 0.000943933 0.00413564i
\(511\) −8317.74 8114.97i −0.720069 0.702515i
\(512\) −2102.99 9213.78i −0.181523 0.795304i
\(513\) −117.397 514.350i −0.0101037 0.0442673i
\(514\) 5728.58 + 7183.42i 0.491590 + 0.616434i
\(515\) −4517.99 5665.38i −0.386575 0.484750i
\(516\) −63.0627 276.296i −0.00538019 0.0235722i
\(517\) 382.941 + 1677.78i 0.0325759 + 0.142724i
\(518\) −3591.96 3504.40i −0.304675 0.297248i
\(519\) −68.8350 + 301.586i −0.00582181 + 0.0255070i
\(520\) −2894.91 −0.244135
\(521\) −10816.8 −0.909579 −0.454790 0.890599i \(-0.650286\pi\)
−0.454790 + 0.890599i \(0.650286\pi\)
\(522\) −1500.48 + 6574.03i −0.125813 + 0.551221i
\(523\) 12308.6 5927.51i 1.02910 0.495587i 0.158384 0.987378i \(-0.449372\pi\)
0.870714 + 0.491791i \(0.163657\pi\)
\(524\) −4278.75 5365.39i −0.356714 0.447306i
\(525\) 69.9973 + 192.392i 0.00581892 + 0.0159937i
\(526\) −1711.50 + 2146.15i −0.141872 + 0.177902i
\(527\) 1347.84 5905.29i 0.111410 0.488119i
\(528\) 15.8405 19.8634i 0.00130562 0.00163720i
\(529\) 4832.86 2327.38i 0.397211 0.191287i
\(530\) 1167.60 + 1464.13i 0.0956931 + 0.119995i
\(531\) −4037.75 1944.48i −0.329988 0.158914i
\(532\) −1897.25 5214.73i −0.154617 0.424976i
\(533\) −7303.59 + 3517.22i −0.593534 + 0.285831i
\(534\) −203.824 98.1563i −0.0165174 0.00795438i
\(535\) 3073.26 + 13464.8i 0.248352 + 1.08810i
\(536\) −13128.3 6322.27i −1.05794 0.509479i
\(537\) −419.043 + 525.464i −0.0336742 + 0.0422261i
\(538\) −1026.00 −0.0822192
\(539\) 585.086 1295.80i 0.0467559 0.103551i
\(540\) −622.902 −0.0496397
\(541\) −6939.25 + 8701.55i −0.551464 + 0.691513i −0.976954 0.213449i \(-0.931530\pi\)
0.425491 + 0.904963i \(0.360102\pi\)
\(542\) 5738.08 + 2763.31i 0.454745 + 0.218994i
\(543\) −160.301 702.326i −0.0126688 0.0555059i
\(544\) −3556.98 1712.95i −0.280339 0.135004i
\(545\) 9140.57 4401.86i 0.718420 0.345973i
\(546\) 9.14448 91.2676i 0.000716754 0.00715365i
\(547\) 4834.37 + 2328.11i 0.377884 + 0.181980i 0.613178 0.789945i \(-0.289891\pi\)
−0.235293 + 0.971924i \(0.575605\pi\)
\(548\) 6364.36 + 7980.65i 0.496116 + 0.622110i
\(549\) 7905.81 3807.24i 0.614593 0.295973i
\(550\) −169.245 + 212.227i −0.0131212 + 0.0164534i
\(551\) −2075.83 + 9094.83i −0.160496 + 0.703181i
\(552\) −194.796 + 244.267i −0.0150201 + 0.0188346i
\(553\) 1276.38 159.786i 0.0981506 0.0122871i
\(554\) −739.052 926.742i −0.0566775 0.0710713i
\(555\) −350.780 + 168.927i −0.0268284 + 0.0129199i
\(556\) 4493.66 19688.0i 0.342758 1.50172i
\(557\) 19698.8 1.49850 0.749251 0.662286i \(-0.230414\pi\)
0.749251 + 0.662286i \(0.230414\pi\)
\(558\) 9295.90 0.705245
\(559\) −878.274 + 3847.97i −0.0664527 + 0.291148i
\(560\) −4557.25 + 570.506i −0.343891 + 0.0430505i
\(561\) −4.24785 18.6110i −0.000319687 0.00140064i
\(562\) −192.392 842.924i −0.0144405 0.0632680i
\(563\) 568.763 + 713.206i 0.0425764 + 0.0533891i 0.802664 0.596432i \(-0.203415\pi\)
−0.760087 + 0.649821i \(0.774844\pi\)
\(564\) 351.077 + 440.237i 0.0262110 + 0.0328676i
\(565\) −2790.73 12227.0i −0.207800 0.910432i
\(566\) −451.800 1979.47i −0.0335523 0.147002i
\(567\) −1339.39 + 13368.0i −0.0992050 + 0.990127i
\(568\) −806.329 + 3532.76i −0.0595648 + 0.260970i
\(569\) 3777.51 0.278315 0.139158 0.990270i \(-0.455561\pi\)
0.139158 + 0.990270i \(0.455561\pi\)
\(570\) 103.731 0.00762251
\(571\) −557.494 + 2442.54i −0.0408589 + 0.179014i −0.991240 0.132074i \(-0.957836\pi\)
0.950381 + 0.311088i \(0.100693\pi\)
\(572\) −454.765 + 219.003i −0.0332424 + 0.0160087i
\(573\) −330.071 413.896i −0.0240644 0.0301758i
\(574\) 8321.93 5373.37i 0.605141 0.390732i
\(575\) −2702.12 + 3388.35i −0.195976 + 0.245746i
\(576\) −49.7710 + 218.061i −0.00360034 + 0.0157741i
\(577\) −5498.56 + 6894.98i −0.396721 + 0.497473i −0.939570 0.342358i \(-0.888774\pi\)
0.542848 + 0.839831i \(0.317346\pi\)
\(578\) 4978.66 2397.60i 0.358279 0.172538i
\(579\) 184.091 + 230.843i 0.0132134 + 0.0165691i
\(580\) 9923.52 + 4778.91i 0.710434 + 0.342127i
\(581\) 9382.46 + 9153.73i 0.669966 + 0.653633i
\(582\) −250.276 + 120.526i −0.0178252 + 0.00858416i
\(583\) 659.246 + 317.476i 0.0468322 + 0.0225532i
\(584\) −2513.89 11014.1i −0.178126 0.780420i
\(585\) 3904.82 + 1880.46i 0.275973 + 0.132902i
\(586\) 2179.52 2733.04i 0.153644 0.192663i
\(587\) −24302.6 −1.70882 −0.854409 0.519601i \(-0.826080\pi\)
−0.854409 + 0.519601i \(0.826080\pi\)
\(588\) −11.4789 465.059i −0.000805075 0.0326169i
\(589\) 12860.4 0.899666
\(590\) 1099.69 1378.97i 0.0767347 0.0962223i
\(591\) 300.813 + 144.864i 0.0209370 + 0.0100827i
\(592\) 1409.44 + 6175.18i 0.0978511 + 0.428714i
\(593\) −6269.51 3019.24i −0.434162 0.209081i 0.204020 0.978967i \(-0.434599\pi\)
−0.638182 + 0.769885i \(0.720313\pi\)
\(594\) 52.8344 25.4437i 0.00364953 0.00175752i
\(595\) −1799.82 + 2944.43i −0.124009 + 0.202874i
\(596\) −155.450 74.8606i −0.0106837 0.00514498i
\(597\) −422.078 529.269i −0.0289355 0.0362840i
\(598\) 1749.39 842.464i 0.119629 0.0576102i
\(599\) 4613.53 5785.18i 0.314697 0.394618i −0.599176 0.800617i \(-0.704505\pi\)
0.913873 + 0.405999i \(0.133076\pi\)
\(600\) −44.2895 + 194.045i −0.00301352 + 0.0132031i
\(601\) 11656.9 14617.3i 0.791175 0.992103i −0.208725 0.977974i \(-0.566931\pi\)
0.999900 0.0141283i \(-0.00449731\pi\)
\(602\) 480.841 4799.09i 0.0325542 0.324911i
\(603\) 13601.5 + 17055.7i 0.918564 + 1.15184i
\(604\) −3349.08 + 1612.83i −0.225616 + 0.108651i
\(605\) −2488.53 + 10902.9i −0.167228 + 0.732674i
\(606\) −258.946 −0.0173580
\(607\) −5906.40 −0.394948 −0.197474 0.980308i \(-0.563274\pi\)
−0.197474 + 0.980308i \(0.563274\pi\)
\(608\) 1865.21 8172.03i 0.124415 0.545098i
\(609\) −407.876 + 667.268i −0.0271395 + 0.0443991i
\(610\) 768.455 + 3366.82i 0.0510063 + 0.223473i
\(611\) −1745.02 7645.45i −0.115542 0.506222i
\(612\) 2371.78 + 2974.11i 0.156656 + 0.196440i
\(613\) 16803.7 + 21071.1i 1.10717 + 1.38834i 0.913286 + 0.407318i \(0.133536\pi\)
0.193880 + 0.981025i \(0.437893\pi\)
\(614\) 2215.18 + 9705.34i 0.145598 + 0.637908i
\(615\) −171.016 749.271i −0.0112131 0.0491277i
\(616\) 1161.20 749.770i 0.0759512 0.0490407i
\(617\) 6281.36 27520.4i 0.409851 1.79567i −0.175038 0.984562i \(-0.556005\pi\)
0.584889 0.811113i \(-0.301138\pi\)
\(618\) 223.210 0.0145289
\(619\) −6231.29 −0.404615 −0.202307 0.979322i \(-0.564844\pi\)
−0.202307 + 0.979322i \(0.564844\pi\)
\(620\) 3378.77 14803.4i 0.218863 0.958900i
\(621\) 843.536 406.226i 0.0545088 0.0262500i
\(622\) 2194.22 + 2751.46i 0.141447 + 0.177369i
\(623\) 11437.6 + 11158.8i 0.735535 + 0.717604i
\(624\) −72.1836 + 90.5154i −0.00463086 + 0.00580691i
\(625\) 1401.00 6138.17i 0.0896639 0.392843i
\(626\) 2827.81 3545.96i 0.180546 0.226398i
\(627\) 36.5168 17.5856i 0.00232590 0.00112010i
\(628\) 7035.04 + 8821.67i 0.447020 + 0.560546i
\(629\) 4287.91 + 2064.95i 0.271812 + 0.130898i
\(630\) −5020.15 1687.39i −0.317472 0.106710i
\(631\) −4804.20 + 2313.58i −0.303094 + 0.145962i −0.579249 0.815151i \(-0.696654\pi\)
0.276155 + 0.961113i \(0.410940\pi\)
\(632\) 1126.72 + 542.598i 0.0709152 + 0.0341510i
\(633\) −65.6489 287.626i −0.00412213 0.0180602i
\(634\) −3761.42 1811.40i −0.235623 0.113470i
\(635\) −9826.68 + 12322.3i −0.614110 + 0.770069i
\(636\) 239.414 0.0149267
\(637\) −2666.18 + 5904.83i −0.165836 + 0.367281i
\(638\) −1036.91 −0.0643445
\(639\) 3382.41 4241.41i 0.209399 0.262579i
\(640\) −11144.3 5366.83i −0.688311 0.331473i
\(641\) 1092.93 + 4788.46i 0.0673452 + 0.295059i 0.997374 0.0724291i \(-0.0230751\pi\)
−0.930028 + 0.367488i \(0.880218\pi\)
\(642\) −383.298 184.587i −0.0235632 0.0113474i
\(643\) −6487.50 + 3124.21i −0.397888 + 0.191613i −0.622118 0.782923i \(-0.713728\pi\)
0.224230 + 0.974536i \(0.428013\pi\)
\(644\) 8272.97 5341.76i 0.506212 0.326855i
\(645\) −337.139 162.358i −0.0205811 0.00991136i
\(646\) −790.589 991.367i −0.0481506 0.0603790i
\(647\) −20620.8 + 9930.45i −1.25299 + 0.603410i −0.938313 0.345788i \(-0.887612\pi\)
−0.314681 + 0.949198i \(0.601897\pi\)
\(648\) −8143.52 + 10211.7i −0.493685 + 0.619061i
\(649\) 153.350 671.871i 0.00927507 0.0406367i
\(650\) 771.234 967.097i 0.0465389 0.0583579i
\(651\) 1021.94 + 343.499i 0.0615254 + 0.0206802i
\(652\) −7455.17 9348.48i −0.447802 0.561526i
\(653\) −3912.93 + 1884.37i −0.234494 + 0.112927i −0.547441 0.836844i \(-0.684398\pi\)
0.312947 + 0.949771i \(0.398684\pi\)
\(654\) −69.5397 + 304.673i −0.00415782 + 0.0182166i
\(655\) −9061.20 −0.540535
\(656\) −12503.1 −0.744155
\(657\) −3763.59 + 16489.4i −0.223488 + 0.979165i
\(658\) 3276.41 + 9005.45i 0.194115 + 0.533540i
\(659\) −5897.70 25839.5i −0.348622 1.52741i −0.780313 0.625389i \(-0.784940\pi\)
0.431691 0.902021i \(-0.357917\pi\)
\(660\) −10.6485 46.6541i −0.000628018 0.00275153i
\(661\) −17153.2 21509.5i −1.00935 1.26569i −0.963771 0.266730i \(-0.914057\pi\)
−0.0455835 0.998961i \(-0.514515\pi\)
\(662\) −9116.46 11431.7i −0.535229 0.671155i
\(663\) 19.3570 + 84.8086i 0.00113388 + 0.00496786i
\(664\) 2835.68 + 12423.9i 0.165732 + 0.726118i
\(665\) −6945.12 2334.42i −0.404993 0.136128i
\(666\) −1625.28 + 7120.83i −0.0945622 + 0.414304i
\(667\) −16555.0 −0.961039
\(668\) 10568.0 0.612110
\(669\) 6.11273 26.7816i 0.000353261 0.00154774i
\(670\) −7735.29 + 3725.12i −0.446030 + 0.214797i
\(671\) 841.297 + 1054.95i 0.0484023 + 0.0606945i
\(672\) 366.491 599.564i 0.0210383 0.0344177i
\(673\) 20905.4 26214.5i 1.19739 1.50148i 0.380403 0.924821i \(-0.375785\pi\)
0.816986 0.576657i \(-0.195643\pi\)
\(674\) 613.306 2687.07i 0.0350500 0.153564i
\(675\) 371.879 466.322i 0.0212054 0.0265907i
\(676\) −10688.5 + 5147.30i −0.608130 + 0.292860i
\(677\) −10391.1 13030.1i −0.589902 0.739714i 0.393864 0.919169i \(-0.371138\pi\)
−0.983766 + 0.179455i \(0.942567\pi\)
\(678\) 348.061 + 167.618i 0.0197157 + 0.00949456i
\(679\) 19469.1 2437.26i 1.10037 0.137752i
\(680\) −3022.71 + 1455.66i −0.170464 + 0.0820911i
\(681\) 766.986 + 369.361i 0.0431585 + 0.0207841i
\(682\) 318.087 + 1393.63i 0.0178595 + 0.0782476i
\(683\) −11070.5 5331.25i −0.620204 0.298674i 0.0972720 0.995258i \(-0.468988\pi\)
−0.717476 + 0.696583i \(0.754703\pi\)
\(684\) −5035.69 + 6314.56i −0.281498 + 0.352987i
\(685\) 13477.9 0.751773
\(686\) 2336.51 7564.49i 0.130041 0.421011i
\(687\) 1087.65 0.0604024
\(688\) −3795.61 + 4759.54i −0.210329 + 0.263744i
\(689\) −3004.12 1446.71i −0.166107 0.0799929i
\(690\) 40.9627 + 179.470i 0.00226004 + 0.00990187i
\(691\) 14542.9 + 7003.51i 0.800636 + 0.385566i 0.789021 0.614367i \(-0.210588\pi\)
0.0116152 + 0.999933i \(0.496303\pi\)
\(692\) 8540.40 4112.84i 0.469158 0.225935i
\(693\) −2053.32 + 257.048i −0.112553 + 0.0140901i
\(694\) −4654.20 2241.34i −0.254569 0.122594i
\(695\) −16624.8 20846.8i −0.907359 1.13779i
\(696\) −685.007 + 329.882i −0.0373062 + 0.0179657i
\(697\) −5857.42 + 7344.98i −0.318315 + 0.399155i
\(698\) −35.5434 + 155.726i −0.00192742 + 0.00844457i
\(699\) −701.808 + 880.039i −0.0379754 + 0.0476196i
\(700\) 3271.92 5352.73i 0.176667 0.289020i
\(701\) −3101.59 3889.27i −0.167112 0.209552i 0.691223 0.722641i \(-0.257072\pi\)
−0.858335 + 0.513090i \(0.828501\pi\)
\(702\) −240.761 + 115.944i −0.0129444 + 0.00623367i
\(703\) −2248.49 + 9851.29i −0.120631 + 0.528519i
\(704\) −34.3945 −0.00184133
\(705\) 743.482 0.0397180
\(706\) −2432.84 + 10659.0i −0.129690 + 0.568208i
\(707\) 17337.1 + 5827.44i 0.922250 + 0.309991i
\(708\) −50.1760 219.835i −0.00266346 0.0116694i
\(709\) −4820.24 21118.8i −0.255328 1.11867i −0.926182 0.377077i \(-0.876929\pi\)
0.670853 0.741590i \(-0.265928\pi\)
\(710\) 1331.18 + 1669.25i 0.0703639 + 0.0882336i
\(711\) −1167.32 1463.78i −0.0615724 0.0772094i
\(712\) 3456.82 + 15145.3i 0.181952 + 0.797183i
\(713\) 5078.47 + 22250.2i 0.266746 + 1.16869i
\(714\) −36.3443 99.8947i −0.00190497 0.00523595i
\(715\) −148.302 + 649.752i −0.00775687 + 0.0339851i
\(716\) 20594.9 1.07495
\(717\) 298.456 0.0155454
\(718\) −323.315 + 1416.54i −0.0168050 + 0.0736276i
\(719\) −1728.73 + 832.510i −0.0896670 + 0.0431814i −0.478180 0.878262i \(-0.658703\pi\)
0.388513 + 0.921443i \(0.372989\pi\)
\(720\) 4167.86 + 5226.33i 0.215732 + 0.270519i
\(721\) −14944.6 5023.23i −0.771934 0.259466i
\(722\) −3651.31 + 4578.60i −0.188210 + 0.236008i
\(723\) −223.013 + 977.082i −0.0114715 + 0.0502601i
\(724\) −13763.4 + 17258.7i −0.706508 + 0.885934i
\(725\) −9502.07 + 4575.96i −0.486756 + 0.234409i
\(726\) −214.783 269.329i −0.0109798 0.0137682i
\(727\) −9340.22 4498.01i −0.476492 0.229466i 0.180193 0.983631i \(-0.442328\pi\)
−0.656685 + 0.754165i \(0.728042\pi\)
\(728\) −5291.45 + 3416.62i −0.269388 + 0.173940i
\(729\) 17559.6 8456.25i 0.892119 0.429622i
\(730\) −5997.25 2888.12i −0.304066 0.146430i
\(731\) 1017.84 + 4459.46i 0.0514997 + 0.225635i
\(732\) 397.779 + 191.560i 0.0200851 + 0.00967250i
\(733\) 4310.92 5405.72i 0.217227 0.272394i −0.661264 0.750154i \(-0.729980\pi\)
0.878491 + 0.477759i \(0.158551\pi\)
\(734\) −883.722 −0.0444398
\(735\) −489.536 371.006i −0.0245671 0.0186187i
\(736\) 14875.3 0.744986
\(737\) −2091.55 + 2622.73i −0.104536 + 0.131085i
\(738\) −12990.0 6255.66i −0.647925 0.312024i
\(739\) −293.572 1286.22i −0.0146133 0.0640251i 0.967096 0.254413i \(-0.0818824\pi\)
−0.981709 + 0.190388i \(0.939025\pi\)
\(740\) 10748.9 + 5176.40i 0.533970 + 0.257146i
\(741\) −166.403 + 80.1357i −0.00824964 + 0.00397282i
\(742\) 3862.18 + 1298.17i 0.191085 + 0.0642283i
\(743\) 4519.07 + 2176.27i 0.223134 + 0.107456i 0.542111 0.840307i \(-0.317625\pi\)
−0.318977 + 0.947762i \(0.603339\pi\)
\(744\) 653.502 + 819.466i 0.0322023 + 0.0403805i
\(745\) −205.252 + 98.8441i −0.0100938 + 0.00486090i
\(746\) −7951.09 + 9970.35i −0.390228 + 0.489330i
\(747\) 4245.35 18600.1i 0.207938 0.911034i
\(748\) −364.718 + 457.342i −0.0178281 + 0.0223557i
\(749\) 21508.9 + 20984.5i 1.04929 + 1.02371i
\(750\) 247.062 + 309.807i 0.0120286 + 0.0150834i
\(751\) 25318.1 12192.5i 1.23019 0.592426i 0.298055 0.954549i \(-0.403662\pi\)
0.932130 + 0.362123i \(0.117948\pi\)
\(752\) 2691.50 11792.2i 0.130517 0.571833i
\(753\) −1553.81 −0.0751981
\(754\) 4725.11 0.228221
\(755\) −1092.16 + 4785.05i −0.0526458 + 0.230657i
\(756\) −1138.57 + 735.160i −0.0547743 + 0.0353671i
\(757\) 3575.83 + 15666.7i 0.171685 + 0.752202i 0.985305 + 0.170805i \(0.0546367\pi\)
−0.813620 + 0.581398i \(0.802506\pi\)
\(758\) 396.703 + 1738.07i 0.0190091 + 0.0832843i
\(759\) 44.8457 + 56.2347i 0.00214466 + 0.00268931i
\(760\) −4441.20 5569.09i −0.211973 0.265805i
\(761\) 2302.07 + 10086.0i 0.109658 + 0.480445i 0.999698 + 0.0245622i \(0.00781917\pi\)
−0.890040 + 0.455883i \(0.849324\pi\)
\(762\) −108.031 473.313i −0.00513587 0.0225017i
\(763\) 11512.4 18833.8i 0.546234 0.893616i
\(764\) −3609.76 + 15815.4i −0.170938 + 0.748928i
\(765\) 5022.76 0.237383
\(766\) 15433.1 0.727963
\(767\) −698.801 + 3061.65i −0.0328973 + 0.144133i
\(768\) 330.701 159.257i 0.0155380 0.00748269i
\(769\) −1168.47 1465.21i −0.0547934 0.0687087i 0.753680 0.657242i \(-0.228277\pi\)
−0.808473 + 0.588533i \(0.799706\pi\)