Properties

Label 63.4.h.a.25.15
Level $63$
Weight $4$
Character 63.25
Analytic conductor $3.717$
Analytic rank $0$
Dimension $44$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 63 = 3^{2} \cdot 7 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 63.h (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 25.15
Character \(\chi\) \(=\) 63.25
Dual form 63.4.h.a.58.15

$q$-expansion

\(f(q)\) \(=\) \(q+1.44809 q^{2} +(0.196108 + 5.19245i) q^{3} -5.90304 q^{4} +(-2.21638 + 3.83887i) q^{5} +(0.283981 + 7.51913i) q^{6} +(9.71690 + 15.7665i) q^{7} -20.1328 q^{8} +(-26.9231 + 2.03656i) q^{9} +O(q^{10})\) \(q+1.44809 q^{2} +(0.196108 + 5.19245i) q^{3} -5.90304 q^{4} +(-2.21638 + 3.83887i) q^{5} +(0.283981 + 7.51913i) q^{6} +(9.71690 + 15.7665i) q^{7} -20.1328 q^{8} +(-26.9231 + 2.03656i) q^{9} +(-3.20951 + 5.55903i) q^{10} +(26.2410 + 45.4507i) q^{11} +(-1.15763 - 30.6512i) q^{12} +(-21.3388 - 36.9599i) q^{13} +(14.0709 + 22.8313i) q^{14} +(-20.3678 - 10.7556i) q^{15} +18.0702 q^{16} +(54.8281 - 94.9651i) q^{17} +(-38.9870 + 2.94912i) q^{18} +(72.6470 + 125.828i) q^{19} +(13.0833 - 22.6610i) q^{20} +(-79.9611 + 53.5465i) q^{21} +(37.9993 + 65.8167i) q^{22} +(18.8228 - 32.6021i) q^{23} +(-3.94820 - 104.539i) q^{24} +(52.6754 + 91.2364i) q^{25} +(-30.9005 - 53.5213i) q^{26} +(-15.8545 - 139.397i) q^{27} +(-57.3593 - 93.0701i) q^{28} +(97.0157 - 168.036i) q^{29} +(-29.4944 - 15.5750i) q^{30} -202.266 q^{31} +187.230 q^{32} +(-230.855 + 145.168i) q^{33} +(79.3960 - 137.518i) q^{34} +(-82.0618 + 2.35755i) q^{35} +(158.928 - 12.0219i) q^{36} +(81.1070 + 140.481i) q^{37} +(105.199 + 182.211i) q^{38} +(187.728 - 118.049i) q^{39} +(44.6219 - 77.2874i) q^{40} +(-52.5349 - 90.9932i) q^{41} +(-115.791 + 77.5400i) q^{42} +(-103.864 + 179.898i) q^{43} +(-154.902 - 268.297i) q^{44} +(51.8536 - 107.868i) q^{45} +(27.2571 - 47.2107i) q^{46} +75.0172 q^{47} +(3.54370 + 93.8285i) q^{48} +(-154.164 + 306.403i) q^{49} +(76.2786 + 132.118i) q^{50} +(503.854 + 266.069i) q^{51} +(125.964 + 218.176i) q^{52} +(-213.185 + 369.248i) q^{53} +(-22.9588 - 201.860i) q^{54} -232.640 q^{55} +(-195.629 - 317.424i) q^{56} +(-639.111 + 401.892i) q^{57} +(140.487 - 243.331i) q^{58} +147.765 q^{59} +(120.232 + 63.4906i) q^{60} -261.037 q^{61} -292.899 q^{62} +(-293.718 - 404.693i) q^{63} +126.564 q^{64} +189.179 q^{65} +(-334.298 + 210.217i) q^{66} +439.129 q^{67} +(-323.653 + 560.583i) q^{68} +(172.976 + 91.3431i) q^{69} +(-118.833 + 3.41394i) q^{70} +356.280 q^{71} +(542.038 - 41.0017i) q^{72} +(190.432 - 329.837i) q^{73} +(117.450 + 203.430i) q^{74} +(-463.410 + 291.406i) q^{75} +(-428.838 - 742.770i) q^{76} +(-461.617 + 855.369i) q^{77} +(271.847 - 170.945i) q^{78} +21.8320 q^{79} +(-40.0503 + 69.3691i) q^{80} +(720.705 - 109.661i) q^{81} +(-76.0752 - 131.766i) q^{82} +(525.566 - 910.307i) q^{83} +(472.013 - 316.087i) q^{84} +(243.039 + 420.957i) q^{85} +(-150.405 + 260.508i) q^{86} +(891.545 + 470.796i) q^{87} +(-528.306 - 915.052i) q^{88} +(-288.820 - 500.251i) q^{89} +(75.0886 - 156.203i) q^{90} +(375.381 - 695.574i) q^{91} +(-111.112 + 192.451i) q^{92} +(-39.6659 - 1050.26i) q^{93} +108.632 q^{94} -644.052 q^{95} +(36.7172 + 972.182i) q^{96} +(564.756 - 978.186i) q^{97} +(-223.243 + 443.698i) q^{98} +(-799.052 - 1170.23i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} + O(q^{10}) \) \( 44q - 2q^{2} - q^{3} + 158q^{4} - 19q^{5} - 20q^{6} - 7q^{7} - 24q^{8} + 11q^{9} - 18q^{10} + 5q^{11} - 62q^{12} - 14q^{13} - 52q^{14} + 119q^{15} + 494q^{16} - 162q^{17} - 188q^{18} + 58q^{19} - 362q^{20} - 59q^{21} - 18q^{22} - 93q^{23} + 30q^{24} - 349q^{25} - 266q^{26} + 272q^{27} - 172q^{28} + 248q^{29} + 85q^{30} - 122q^{31} + 326q^{32} + 77q^{33} + 6q^{34} + 289q^{35} - 806q^{36} - 86q^{37} - 761q^{38} - 256q^{39} - 18q^{40} - 692q^{41} - 364q^{42} - 86q^{43} - 443q^{44} + 527q^{45} - 270q^{46} + 2010q^{47} - 1013q^{48} + 317q^{49} + 239q^{50} + 1209q^{51} - 335q^{52} + 258q^{53} + 577q^{54} - 870q^{55} - 1752q^{56} + 566q^{57} + 237q^{58} + 3330q^{59} + 1669q^{60} - 878q^{61} + 1812q^{62} + 2872q^{63} + 872q^{64} + 1226q^{65} + 1330q^{66} - 590q^{67} - 1374q^{68} + 1389q^{69} + 1251q^{70} + 636q^{71} - 5970q^{72} - 338q^{73} + 1119q^{74} + 2737q^{75} + 1006q^{76} + 2269q^{77} + 157q^{78} - 266q^{79} - 4817q^{80} - 505q^{81} + 6q^{82} - 1356q^{83} - 6013q^{84} + 483q^{85} - 3343q^{86} - 5755q^{87} + 369q^{88} - 2200q^{89} + 2665q^{90} + 1552q^{91} - 396q^{92} - 129q^{93} + 2382q^{94} - 6166q^{95} - 5941q^{96} - 266q^{97} + 3601q^{98} - 5395q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/63\mathbb{Z}\right)^\times\).

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.44809 0.511977 0.255988 0.966680i \(-0.417599\pi\)
0.255988 + 0.966680i \(0.417599\pi\)
\(3\) 0.196108 + 5.19245i 0.0377409 + 0.999288i
\(4\) −5.90304 −0.737880
\(5\) −2.21638 + 3.83887i −0.198239 + 0.343359i −0.947957 0.318397i \(-0.896855\pi\)
0.749719 + 0.661757i \(0.230189\pi\)
\(6\) 0.283981 + 7.51913i 0.0193225 + 0.511612i
\(7\) 9.71690 + 15.7665i 0.524664 + 0.851310i
\(8\) −20.1328 −0.889754
\(9\) −26.9231 + 2.03656i −0.997151 + 0.0754281i
\(10\) −3.20951 + 5.55903i −0.101494 + 0.175792i
\(11\) 26.2410 + 45.4507i 0.719269 + 1.24581i 0.961290 + 0.275539i \(0.0888564\pi\)
−0.242021 + 0.970271i \(0.577810\pi\)
\(12\) −1.15763 30.6512i −0.0278483 0.737354i
\(13\) −21.3388 36.9599i −0.455256 0.788526i 0.543447 0.839443i \(-0.317119\pi\)
−0.998703 + 0.0509172i \(0.983786\pi\)
\(14\) 14.0709 + 22.8313i 0.268616 + 0.435851i
\(15\) −20.3678 10.7556i −0.350596 0.185139i
\(16\) 18.0702 0.282346
\(17\) 54.8281 94.9651i 0.782222 1.35485i −0.148422 0.988924i \(-0.547419\pi\)
0.930644 0.365925i \(-0.119247\pi\)
\(18\) −38.9870 + 2.94912i −0.510518 + 0.0386174i
\(19\) 72.6470 + 125.828i 0.877178 + 1.51932i 0.854425 + 0.519575i \(0.173910\pi\)
0.0227527 + 0.999741i \(0.492757\pi\)
\(20\) 13.0833 22.6610i 0.146276 0.253358i
\(21\) −79.9611 + 53.5465i −0.830902 + 0.556419i
\(22\) 37.9993 + 65.8167i 0.368249 + 0.637826i
\(23\) 18.8228 32.6021i 0.170645 0.295566i −0.768001 0.640449i \(-0.778748\pi\)
0.938645 + 0.344884i \(0.112082\pi\)
\(24\) −3.94820 104.539i −0.0335801 0.889120i
\(25\) 52.6754 + 91.2364i 0.421403 + 0.729891i
\(26\) −30.9005 53.5213i −0.233080 0.403707i
\(27\) −15.8545 139.397i −0.113008 0.993594i
\(28\) −57.3593 93.0701i −0.387139 0.628164i
\(29\) 97.0157 168.036i 0.621220 1.07598i −0.368039 0.929810i \(-0.619971\pi\)
0.989259 0.146174i \(-0.0466958\pi\)
\(30\) −29.4944 15.5750i −0.179497 0.0947867i
\(31\) −202.266 −1.17187 −0.585936 0.810357i \(-0.699273\pi\)
−0.585936 + 0.810357i \(0.699273\pi\)
\(32\) 187.230 1.03431
\(33\) −230.855 + 145.168i −1.21778 + 0.765775i
\(34\) 79.3960 137.518i 0.400480 0.693651i
\(35\) −82.0618 + 2.35755i −0.396314 + 0.0113857i
\(36\) 158.928 12.0219i 0.735778 0.0556568i
\(37\) 81.1070 + 140.481i 0.360376 + 0.624189i 0.988023 0.154309i \(-0.0493151\pi\)
−0.627647 + 0.778498i \(0.715982\pi\)
\(38\) 105.199 + 182.211i 0.449094 + 0.777854i
\(39\) 187.728 118.049i 0.770783 0.484691i
\(40\) 44.6219 77.2874i 0.176384 0.305505i
\(41\) −52.5349 90.9932i −0.200112 0.346603i 0.748453 0.663188i \(-0.230797\pi\)
−0.948564 + 0.316585i \(0.897464\pi\)
\(42\) −115.791 + 77.5400i −0.425402 + 0.284874i
\(43\) −103.864 + 179.898i −0.368352 + 0.638004i −0.989308 0.145841i \(-0.953411\pi\)
0.620956 + 0.783845i \(0.286745\pi\)
\(44\) −154.902 268.297i −0.530734 0.919258i
\(45\) 51.8536 107.868i 0.171775 0.357334i
\(46\) 27.2571 47.2107i 0.0873662 0.151323i
\(47\) 75.0172 0.232817 0.116408 0.993201i \(-0.462862\pi\)
0.116408 + 0.993201i \(0.462862\pi\)
\(48\) 3.54370 + 93.8285i 0.0106560 + 0.282145i
\(49\) −154.164 + 306.403i −0.449456 + 0.893302i
\(50\) 76.2786 + 132.118i 0.215748 + 0.373687i
\(51\) 503.854 + 266.069i 1.38341 + 0.730532i
\(52\) 125.964 + 218.176i 0.335924 + 0.581838i
\(53\) −213.185 + 369.248i −0.552514 + 0.956983i 0.445578 + 0.895243i \(0.352998\pi\)
−0.998092 + 0.0617395i \(0.980335\pi\)
\(54\) −22.9588 201.860i −0.0578573 0.508697i
\(55\) −232.640 −0.570348
\(56\) −195.629 317.424i −0.466821 0.757456i
\(57\) −639.111 + 401.892i −1.48513 + 0.933893i
\(58\) 140.487 243.331i 0.318050 0.550879i
\(59\) 147.765 0.326057 0.163028 0.986621i \(-0.447874\pi\)
0.163028 + 0.986621i \(0.447874\pi\)
\(60\) 120.232 + 63.4906i 0.258698 + 0.136610i
\(61\) −261.037 −0.547908 −0.273954 0.961743i \(-0.588332\pi\)
−0.273954 + 0.961743i \(0.588332\pi\)
\(62\) −292.899 −0.599971
\(63\) −293.718 404.693i −0.587382 0.809310i
\(64\) 126.564 0.247196
\(65\) 189.179 0.360997
\(66\) −334.298 + 210.217i −0.623473 + 0.392059i
\(67\) 439.129 0.800719 0.400359 0.916358i \(-0.368885\pi\)
0.400359 + 0.916358i \(0.368885\pi\)
\(68\) −323.653 + 560.583i −0.577186 + 0.999716i
\(69\) 172.976 + 91.3431i 0.301795 + 0.159368i
\(70\) −118.833 + 3.41394i −0.202903 + 0.00582920i
\(71\) 356.280 0.595531 0.297766 0.954639i \(-0.403759\pi\)
0.297766 + 0.954639i \(0.403759\pi\)
\(72\) 542.038 41.0017i 0.887219 0.0671124i
\(73\) 190.432 329.837i 0.305320 0.528829i −0.672013 0.740539i \(-0.734570\pi\)
0.977332 + 0.211710i \(0.0679034\pi\)
\(74\) 117.450 + 203.430i 0.184504 + 0.319570i
\(75\) −463.410 + 291.406i −0.713467 + 0.448649i
\(76\) −428.838 742.770i −0.647252 1.12107i
\(77\) −461.617 + 855.369i −0.683196 + 1.26595i
\(78\) 271.847 170.945i 0.394623 0.248151i
\(79\) 21.8320 0.0310923 0.0155462 0.999879i \(-0.495051\pi\)
0.0155462 + 0.999879i \(0.495051\pi\)
\(80\) −40.0503 + 69.3691i −0.0559720 + 0.0969463i
\(81\) 720.705 109.661i 0.988621 0.150426i
\(82\) −76.0752 131.766i −0.102452 0.177453i
\(83\) 525.566 910.307i 0.695040 1.20384i −0.275127 0.961408i \(-0.588720\pi\)
0.970167 0.242437i \(-0.0779468\pi\)
\(84\) 472.013 316.087i 0.613106 0.410570i
\(85\) 243.039 + 420.957i 0.310133 + 0.537167i
\(86\) −150.405 + 260.508i −0.188588 + 0.326643i
\(87\) 891.545 + 470.796i 1.09866 + 0.580168i
\(88\) −528.306 915.052i −0.639972 1.10846i
\(89\) −288.820 500.251i −0.343987 0.595803i 0.641182 0.767389i \(-0.278444\pi\)
−0.985169 + 0.171586i \(0.945111\pi\)
\(90\) 75.0886 156.203i 0.0879448 0.182947i
\(91\) 375.381 695.574i 0.432424 0.801275i
\(92\) −111.112 + 192.451i −0.125915 + 0.218092i
\(93\) −39.6659 1050.26i −0.0442275 1.17104i
\(94\) 108.632 0.119197
\(95\) −644.052 −0.695562
\(96\) 36.7172 + 972.182i 0.0390358 + 1.03357i
\(97\) 564.756 978.186i 0.591157 1.02391i −0.402920 0.915235i \(-0.632005\pi\)
0.994077 0.108679i \(-0.0346621\pi\)
\(98\) −223.243 + 443.698i −0.230111 + 0.457350i
\(99\) −799.052 1170.23i −0.811189 1.18801i
\(100\) −310.945 538.572i −0.310945 0.538572i
\(101\) −369.355 639.742i −0.363884 0.630265i 0.624713 0.780855i \(-0.285216\pi\)
−0.988596 + 0.150590i \(0.951883\pi\)
\(102\) 729.625 + 385.292i 0.708271 + 0.374015i
\(103\) 198.856 344.429i 0.190232 0.329491i −0.755095 0.655615i \(-0.772409\pi\)
0.945327 + 0.326124i \(0.105743\pi\)
\(104\) 429.611 + 744.108i 0.405066 + 0.701594i
\(105\) −28.3344 425.640i −0.0263348 0.395602i
\(106\) −308.711 + 534.704i −0.282874 + 0.489953i
\(107\) −263.679 456.706i −0.238232 0.412630i 0.721975 0.691919i \(-0.243235\pi\)
−0.960207 + 0.279289i \(0.909901\pi\)
\(108\) 93.5900 + 822.868i 0.0833861 + 0.733153i
\(109\) −0.0844665 + 0.146300i −7.42241e−5 + 0.000128560i −0.866063 0.499936i \(-0.833357\pi\)
0.865988 + 0.500064i \(0.166690\pi\)
\(110\) −336.883 −0.292005
\(111\) −713.537 + 448.693i −0.610144 + 0.383677i
\(112\) 175.586 + 284.903i 0.148137 + 0.240364i
\(113\) 149.961 + 259.741i 0.124842 + 0.216233i 0.921671 0.387972i \(-0.126824\pi\)
−0.796829 + 0.604205i \(0.793491\pi\)
\(114\) −925.489 + 581.975i −0.760351 + 0.478131i
\(115\) 83.4369 + 144.517i 0.0676568 + 0.117185i
\(116\) −572.687 + 991.924i −0.458385 + 0.793947i
\(117\) 649.778 + 951.618i 0.513436 + 0.751941i
\(118\) 213.977 0.166933
\(119\) 2030.03 58.3205i 1.56380 0.0449263i
\(120\) 410.062 + 216.540i 0.311945 + 0.164728i
\(121\) −711.680 + 1232.67i −0.534696 + 0.926120i
\(122\) −378.005 −0.280516
\(123\) 462.175 290.629i 0.338804 0.213050i
\(124\) 1193.98 0.864701
\(125\) −1021.09 −0.730631
\(126\) −425.330 586.032i −0.300726 0.414348i
\(127\) −1116.82 −0.780330 −0.390165 0.920745i \(-0.627582\pi\)
−0.390165 + 0.920745i \(0.627582\pi\)
\(128\) −1314.56 −0.907750
\(129\) −954.480 504.030i −0.651452 0.344011i
\(130\) 273.949 0.184822
\(131\) 334.249 578.937i 0.222927 0.386122i −0.732768 0.680478i \(-0.761772\pi\)
0.955696 + 0.294357i \(0.0951054\pi\)
\(132\) 1362.74 856.934i 0.898573 0.565050i
\(133\) −1277.97 + 2368.05i −0.833185 + 1.54388i
\(134\) 635.898 0.409949
\(135\) 570.269 + 248.093i 0.363562 + 0.158166i
\(136\) −1103.85 + 1911.92i −0.695985 + 1.20548i
\(137\) 1163.25 + 2014.82i 0.725427 + 1.25648i 0.958798 + 0.284089i \(0.0916910\pi\)
−0.233371 + 0.972388i \(0.574976\pi\)
\(138\) 250.485 + 132.273i 0.154512 + 0.0815929i
\(139\) 119.539 + 207.047i 0.0729433 + 0.126342i 0.900190 0.435497i \(-0.143427\pi\)
−0.827247 + 0.561839i \(0.810094\pi\)
\(140\) 484.414 13.9167i 0.292432 0.00840125i
\(141\) 14.7114 + 389.523i 0.00878672 + 0.232651i
\(142\) 515.926 0.304898
\(143\) 1119.90 1939.73i 0.654903 1.13432i
\(144\) −486.505 + 36.8010i −0.281542 + 0.0212968i
\(145\) 430.046 + 744.862i 0.246299 + 0.426603i
\(146\) 275.762 477.633i 0.156317 0.270748i
\(147\) −1621.21 740.399i −0.909629 0.415422i
\(148\) −478.778 829.267i −0.265914 0.460577i
\(149\) 996.454 1725.91i 0.547871 0.948940i −0.450550 0.892751i \(-0.648772\pi\)
0.998420 0.0561883i \(-0.0178947\pi\)
\(150\) −671.060 + 421.982i −0.365279 + 0.229698i
\(151\) −1180.35 2044.43i −0.636129 1.10181i −0.986275 0.165113i \(-0.947201\pi\)
0.350146 0.936695i \(-0.386132\pi\)
\(152\) −1462.59 2533.28i −0.780472 1.35182i
\(153\) −1282.74 + 2668.42i −0.677800 + 1.40999i
\(154\) −668.462 + 1238.65i −0.349781 + 0.648138i
\(155\) 448.297 776.474i 0.232310 0.402373i
\(156\) −1108.17 + 696.847i −0.568745 + 0.357644i
\(157\) 2262.73 1.15023 0.575113 0.818074i \(-0.304958\pi\)
0.575113 + 0.818074i \(0.304958\pi\)
\(158\) 31.6147 0.0159185
\(159\) −1959.11 1034.54i −0.977153 0.516003i
\(160\) −414.972 + 718.752i −0.205040 + 0.355140i
\(161\) 696.920 20.0218i 0.341149 0.00980084i
\(162\) 1043.64 158.799i 0.506151 0.0770148i
\(163\) 1085.74 + 1880.56i 0.521728 + 0.903659i 0.999681 + 0.0252736i \(0.00804570\pi\)
−0.477953 + 0.878386i \(0.658621\pi\)
\(164\) 310.116 + 537.136i 0.147658 + 0.255752i
\(165\) −45.6224 1207.97i −0.0215254 0.569941i
\(166\) 761.066 1318.20i 0.355844 0.616341i
\(167\) −17.1772 29.7518i −0.00795937 0.0137860i 0.862018 0.506877i \(-0.169200\pi\)
−0.869978 + 0.493091i \(0.835867\pi\)
\(168\) 1609.84 1078.04i 0.739298 0.495076i
\(169\) 187.809 325.295i 0.0854842 0.148063i
\(170\) 351.943 + 609.583i 0.158781 + 0.275017i
\(171\) −2212.14 3239.74i −0.989278 1.44882i
\(172\) 613.114 1061.94i 0.271799 0.470770i
\(173\) 100.393 0.0441200 0.0220600 0.999757i \(-0.492978\pi\)
0.0220600 + 0.999757i \(0.492978\pi\)
\(174\) 1291.04 + 681.755i 0.562490 + 0.297033i
\(175\) −926.635 + 1717.04i −0.400269 + 0.741692i
\(176\) 474.179 + 821.303i 0.203083 + 0.351750i
\(177\) 28.9778 + 767.262i 0.0123057 + 0.325824i
\(178\) −418.237 724.408i −0.176113 0.305037i
\(179\) −987.721 + 1710.78i −0.412434 + 0.714357i −0.995155 0.0983150i \(-0.968655\pi\)
0.582721 + 0.812672i \(0.301988\pi\)
\(180\) −306.094 + 636.750i −0.126749 + 0.263670i
\(181\) 2193.67 0.900850 0.450425 0.892814i \(-0.351272\pi\)
0.450425 + 0.892814i \(0.351272\pi\)
\(182\) 543.584 1007.25i 0.221391 0.410234i
\(183\) −51.1914 1355.42i −0.0206785 0.547518i
\(184\) −378.957 + 656.373i −0.151832 + 0.262981i
\(185\) −719.054 −0.285762
\(186\) −57.4397 1520.86i −0.0226435 0.599544i
\(187\) 5754.98 2.25051
\(188\) −442.829 −0.171791
\(189\) 2043.75 1604.48i 0.786565 0.617507i
\(190\) −932.645 −0.356112
\(191\) −1072.32 −0.406231 −0.203116 0.979155i \(-0.565107\pi\)
−0.203116 + 0.979155i \(0.565107\pi\)
\(192\) 24.8202 + 657.178i 0.00932939 + 0.247019i
\(193\) −5258.54 −1.96123 −0.980616 0.195941i \(-0.937224\pi\)
−0.980616 + 0.195941i \(0.937224\pi\)
\(194\) 817.817 1416.50i 0.302659 0.524220i
\(195\) 37.0995 + 982.305i 0.0136244 + 0.360740i
\(196\) 910.033 1808.71i 0.331645 0.659150i
\(197\) 4365.42 1.57880 0.789399 0.613880i \(-0.210392\pi\)
0.789399 + 0.613880i \(0.210392\pi\)
\(198\) −1157.10 1694.60i −0.415310 0.608233i
\(199\) −81.1941 + 140.632i −0.0289231 + 0.0500963i −0.880125 0.474743i \(-0.842541\pi\)
0.851202 + 0.524839i \(0.175874\pi\)
\(200\) −1060.50 1836.85i −0.374945 0.649424i
\(201\) 86.1165 + 2280.16i 0.0302199 + 0.800148i
\(202\) −534.860 926.404i −0.186300 0.322681i
\(203\) 3592.03 103.195i 1.24193 0.0356792i
\(204\) −2974.27 1570.62i −1.02079 0.539045i
\(205\) 465.748 0.158679
\(206\) 287.961 498.764i 0.0973942 0.168692i
\(207\) −440.373 + 916.083i −0.147865 + 0.307595i
\(208\) −385.596 667.872i −0.128540 0.222638i
\(209\) −3812.66 + 6603.72i −1.26185 + 2.18559i
\(210\) −41.0307 616.364i −0.0134828 0.202539i
\(211\) 948.694 + 1643.19i 0.309530 + 0.536121i 0.978260 0.207384i \(-0.0664951\pi\)
−0.668730 + 0.743505i \(0.733162\pi\)
\(212\) 1258.44 2179.68i 0.407689 0.706138i
\(213\) 69.8693 + 1849.97i 0.0224759 + 0.595107i
\(214\) −381.831 661.351i −0.121969 0.211257i
\(215\) −460.404 797.443i −0.146043 0.252954i
\(216\) 319.197 + 2806.46i 0.100549 + 0.884054i
\(217\) −1965.40 3189.02i −0.614839 0.997626i
\(218\) −0.122315 + 0.211856i −3.80010e−5 + 6.58197e-5i
\(219\) 1750.01 + 924.123i 0.539975 + 0.285144i
\(220\) 1373.28 0.420848
\(221\) −4679.87 −1.42445
\(222\) −1033.27 + 649.748i −0.312379 + 0.196433i
\(223\) −2214.51 + 3835.64i −0.664998 + 1.15181i 0.314288 + 0.949328i \(0.398234\pi\)
−0.979286 + 0.202482i \(0.935099\pi\)
\(224\) 1819.30 + 2951.96i 0.542664 + 0.880517i
\(225\) −1603.99 2349.09i −0.475257 0.696026i
\(226\) 217.158 + 376.128i 0.0639164 + 0.110706i
\(227\) −1443.96 2501.01i −0.422198 0.731269i 0.573956 0.818886i \(-0.305408\pi\)
−0.996154 + 0.0876174i \(0.972075\pi\)
\(228\) 3772.70 2372.38i 1.09585 0.689101i
\(229\) 246.093 426.246i 0.0710144 0.123001i −0.828332 0.560238i \(-0.810710\pi\)
0.899346 + 0.437237i \(0.144043\pi\)
\(230\) 120.824 + 209.273i 0.0346387 + 0.0599960i
\(231\) −4531.99 2229.18i −1.29083 0.634931i
\(232\) −1953.20 + 3383.04i −0.552733 + 0.957361i
\(233\) 2390.19 + 4139.94i 0.672046 + 1.16402i 0.977323 + 0.211754i \(0.0679177\pi\)
−0.305277 + 0.952264i \(0.598749\pi\)
\(234\) 940.936 + 1378.03i 0.262867 + 0.384976i
\(235\) −166.266 + 287.982i −0.0461533 + 0.0799398i
\(236\) −872.262 −0.240591
\(237\) 4.28142 + 113.362i 0.00117345 + 0.0310702i
\(238\) 2939.66 84.4532i 0.800629 0.0230012i
\(239\) −2954.59 5117.51i −0.799652 1.38504i −0.919843 0.392287i \(-0.871684\pi\)
0.120191 0.992751i \(-0.461649\pi\)
\(240\) −368.050 194.355i −0.0989897 0.0522733i
\(241\) −75.8276 131.337i −0.0202676 0.0351045i 0.855714 0.517450i \(-0.173118\pi\)
−0.875981 + 0.482345i \(0.839785\pi\)
\(242\) −1030.58 + 1785.01i −0.273752 + 0.474152i
\(243\) 710.744 + 3720.72i 0.187631 + 0.982240i
\(244\) 1540.91 0.404290
\(245\) −834.557 1270.92i −0.217624 0.331412i
\(246\) 669.270 420.857i 0.173460 0.109077i
\(247\) 3100.41 5370.06i 0.798680 1.38336i
\(248\) 4072.19 1.04268
\(249\) 4829.79 + 2550.46i 1.22922 + 0.649111i
\(250\) −1478.63 −0.374066
\(251\) −29.8186 −0.00749854 −0.00374927 0.999993i \(-0.501193\pi\)
−0.00374927 + 0.999993i \(0.501193\pi\)
\(252\) 1733.83 + 2388.92i 0.433417 + 0.597174i
\(253\) 1975.72 0.490958
\(254\) −1617.26 −0.399511
\(255\) −2138.14 + 1344.52i −0.525079 + 0.330186i
\(256\) −2916.12 −0.711943
\(257\) −301.982 + 523.049i −0.0732963 + 0.126953i −0.900344 0.435179i \(-0.856685\pi\)
0.827048 + 0.562132i \(0.190019\pi\)
\(258\) −1382.17 729.880i −0.333528 0.176125i
\(259\) −1426.79 + 2643.82i −0.342302 + 0.634281i
\(260\) −1116.73 −0.266373
\(261\) −2269.75 + 4721.63i −0.538290 + 1.11978i
\(262\) 484.023 838.352i 0.114134 0.197685i
\(263\) 1360.86 + 2357.08i 0.319066 + 0.552638i 0.980293 0.197547i \(-0.0632975\pi\)
−0.661228 + 0.750185i \(0.729964\pi\)
\(264\) 4647.76 2922.65i 1.08352 0.681351i
\(265\) −944.997 1636.78i −0.219059 0.379422i
\(266\) −1850.61 + 3429.15i −0.426572 + 0.790430i
\(267\) 2540.89 1597.79i 0.582396 0.366228i
\(268\) −2592.20 −0.590834
\(269\) −1346.22 + 2331.72i −0.305131 + 0.528503i −0.977291 0.211904i \(-0.932034\pi\)
0.672159 + 0.740407i \(0.265367\pi\)
\(270\) 825.800 + 359.261i 0.186135 + 0.0809776i
\(271\) −595.824 1032.00i −0.133556 0.231326i 0.791489 0.611184i \(-0.209306\pi\)
−0.925045 + 0.379857i \(0.875973\pi\)
\(272\) 990.754 1716.04i 0.220858 0.382537i
\(273\) 3685.35 + 1812.74i 0.817024 + 0.401875i
\(274\) 1684.50 + 2917.63i 0.371402 + 0.643287i
\(275\) −2764.51 + 4788.27i −0.606204 + 1.04998i
\(276\) −1021.08 539.202i −0.222689 0.117595i
\(277\) −3490.45 6045.64i −0.757115 1.31136i −0.944316 0.329041i \(-0.893275\pi\)
0.187200 0.982322i \(-0.440059\pi\)
\(278\) 173.102 + 299.822i 0.0373453 + 0.0646839i
\(279\) 5445.62 411.926i 1.16853 0.0883921i
\(280\) 1652.14 47.4641i 0.352622 0.0101304i
\(281\) −3073.57 + 5323.59i −0.652506 + 1.13017i 0.330007 + 0.943978i \(0.392949\pi\)
−0.982513 + 0.186195i \(0.940385\pi\)
\(282\) 21.3035 + 564.064i 0.00449859 + 0.119112i
\(283\) −4784.78 −1.00504 −0.502519 0.864566i \(-0.667593\pi\)
−0.502519 + 0.864566i \(0.667593\pi\)
\(284\) −2103.14 −0.439430
\(285\) −126.304 3344.21i −0.0262511 0.695066i
\(286\) 1621.72 2808.90i 0.335295 0.580748i
\(287\) 924.165 1712.46i 0.190076 0.352207i
\(288\) −5040.81 + 381.305i −1.03136 + 0.0780159i
\(289\) −3555.75 6158.74i −0.723743 1.25356i
\(290\) 622.745 + 1078.63i 0.126100 + 0.218411i
\(291\) 5189.93 + 2740.64i 1.04550 + 0.552093i
\(292\) −1124.12 + 1947.04i −0.225289 + 0.390212i
\(293\) −4130.04 7153.44i −0.823480 1.42631i −0.903075 0.429482i \(-0.858696\pi\)
0.0795955 0.996827i \(-0.474637\pi\)
\(294\) −2347.66 1072.16i −0.465709 0.212686i
\(295\) −327.502 + 567.251i −0.0646370 + 0.111955i
\(296\) −1632.91 2828.29i −0.320646 0.555375i
\(297\) 5919.68 4378.53i 1.15655 0.855448i
\(298\) 1442.95 2499.27i 0.280497 0.485835i
\(299\) −1606.63 −0.310748
\(300\) 2735.53 1720.18i 0.526453 0.331049i
\(301\) −3845.60 + 110.480i −0.736400 + 0.0211560i
\(302\) −1709.25 2960.51i −0.325683 0.564100i
\(303\) 3249.40 2043.32i 0.616083 0.387411i
\(304\) 1312.74 + 2273.74i 0.247668 + 0.428974i
\(305\) 578.556 1002.09i 0.108617 0.188129i
\(306\) −1857.52 + 3864.10i −0.347018 + 0.721882i
\(307\) 1586.28 0.294899 0.147449 0.989070i \(-0.452894\pi\)
0.147449 + 0.989070i \(0.452894\pi\)
\(308\) 2724.94 5049.27i 0.504117 0.934120i
\(309\) 1827.43 + 965.005i 0.336436 + 0.177661i
\(310\) 649.174 1124.40i 0.118938 0.206006i
\(311\) −2809.95 −0.512339 −0.256170 0.966632i \(-0.582461\pi\)
−0.256170 + 0.966632i \(0.582461\pi\)
\(312\) −3779.50 + 2376.66i −0.685807 + 0.431256i
\(313\) 4537.47 0.819403 0.409701 0.912220i \(-0.365633\pi\)
0.409701 + 0.912220i \(0.365633\pi\)
\(314\) 3276.64 0.588889
\(315\) 2204.56 230.596i 0.394326 0.0412464i
\(316\) −128.875 −0.0229424
\(317\) −2187.89 −0.387647 −0.193823 0.981036i \(-0.562089\pi\)
−0.193823 + 0.981036i \(0.562089\pi\)
\(318\) −2836.96 1498.11i −0.500280 0.264182i
\(319\) 10183.2 1.78730
\(320\) −280.514 + 485.864i −0.0490037 + 0.0848769i
\(321\) 2319.71 1458.71i 0.403345 0.253636i
\(322\) 1009.20 28.9933i 0.174660 0.00501780i
\(323\) 15932.4 2.74459
\(324\) −4254.35 + 647.332i −0.729484 + 0.110997i
\(325\) 2248.06 3893.76i 0.383692 0.664574i
\(326\) 1572.25 + 2723.21i 0.267113 + 0.462652i
\(327\) −0.776222 0.409898i −0.000131270 6.93192e-5i
\(328\) 1057.68 + 1831.95i 0.178050 + 0.308392i
\(329\) 728.935 + 1182.76i 0.122150 + 0.198199i
\(330\) −66.0653 1749.25i −0.0110205 0.291797i
\(331\) −1808.57 −0.300325 −0.150163 0.988661i \(-0.547980\pi\)
−0.150163 + 0.988661i \(0.547980\pi\)
\(332\) −3102.43 + 5373.57i −0.512856 + 0.888293i
\(333\) −2469.75 3617.01i −0.406431 0.595229i
\(334\) −24.8742 43.0833i −0.00407501 0.00705813i
\(335\) −973.275 + 1685.76i −0.158733 + 0.274934i
\(336\) −1444.91 + 967.594i −0.234602 + 0.157103i
\(337\) −845.218 1463.96i −0.136623 0.236638i 0.789593 0.613631i \(-0.210292\pi\)
−0.926216 + 0.376992i \(0.876958\pi\)
\(338\) 271.964 471.055i 0.0437659 0.0758048i
\(339\) −1319.28 + 829.605i −0.211368 + 0.132914i
\(340\) −1434.67 2484.92i −0.228841 0.396364i
\(341\) −5307.66 9193.14i −0.842892 1.45993i
\(342\) −3203.37 4691.43i −0.506487 0.741764i
\(343\) −6328.88 + 546.670i −0.996290 + 0.0860565i
\(344\) 2091.08 3621.86i 0.327743 0.567667i
\(345\) −734.035 + 461.583i −0.114548 + 0.0720313i
\(346\) 145.379 0.0225884
\(347\) 8614.10 1.33265 0.666324 0.745662i \(-0.267867\pi\)
0.666324 + 0.745662i \(0.267867\pi\)
\(348\) −5262.82 2779.13i −0.810681 0.428094i
\(349\) 3434.46 5948.67i 0.526770 0.912392i −0.472744 0.881200i \(-0.656736\pi\)
0.999513 0.0311920i \(-0.00993032\pi\)
\(350\) −1341.85 + 2486.43i −0.204928 + 0.379729i
\(351\) −4813.80 + 3560.56i −0.732028 + 0.541449i
\(352\) 4913.10 + 8509.74i 0.743946 + 1.28855i
\(353\) 19.1346 + 33.1422i 0.00288508 + 0.00499711i 0.867464 0.497499i \(-0.165748\pi\)
−0.864579 + 0.502496i \(0.832415\pi\)
\(354\) 41.9624 + 1111.06i 0.00630022 + 0.166814i
\(355\) −789.651 + 1367.72i −0.118057 + 0.204481i
\(356\) 1704.92 + 2953.00i 0.253821 + 0.439631i
\(357\) 700.929 + 10529.4i 0.103913 + 1.56099i
\(358\) −1430.31 + 2477.37i −0.211157 + 0.365734i
\(359\) 402.050 + 696.371i 0.0591070 + 0.102376i 0.894065 0.447938i \(-0.147841\pi\)
−0.834958 + 0.550314i \(0.814508\pi\)
\(360\) −1043.96 + 2171.69i −0.152837 + 0.317939i
\(361\) −7125.68 + 12342.0i −1.03888 + 1.79939i
\(362\) 3176.62 0.461214
\(363\) −6540.12 3453.63i −0.945640 0.499362i
\(364\) −2215.89 + 4106.00i −0.319077 + 0.591244i
\(365\) 844.136 + 1462.09i 0.121052 + 0.209669i
\(366\) −74.1296 1962.77i −0.0105869 0.280316i
\(367\) 4198.26 + 7271.60i 0.597132 + 1.03426i 0.993242 + 0.116059i \(0.0370263\pi\)
−0.396111 + 0.918203i \(0.629640\pi\)
\(368\) 340.132 589.126i 0.0481810 0.0834519i
\(369\) 1599.71 + 2342.83i 0.225685 + 0.330522i
\(370\) −1041.25 −0.146303
\(371\) −7893.24 + 226.764i −1.10457 + 0.0317332i
\(372\) 234.149 + 6199.70i 0.0326346 + 0.864085i
\(373\) 1978.22 3426.37i 0.274606 0.475632i −0.695429 0.718594i \(-0.744786\pi\)
0.970036 + 0.242962i \(0.0781192\pi\)
\(374\) 8333.72 1.15221
\(375\) −200.243 5301.95i −0.0275747 0.730110i
\(376\) −1510.31 −0.207150
\(377\) −8280.81 −1.13126
\(378\) 2959.53 2323.43i 0.402703 0.316149i
\(379\) −2203.21 −0.298605 −0.149303 0.988792i \(-0.547703\pi\)
−0.149303 + 0.988792i \(0.547703\pi\)
\(380\) 3801.87 0.513241
\(381\) −219.017 5799.04i −0.0294504 0.779774i
\(382\) −1552.81 −0.207981
\(383\) −4009.18 + 6944.11i −0.534882 + 0.926442i 0.464287 + 0.885685i \(0.346310\pi\)
−0.999169 + 0.0407576i \(0.987023\pi\)
\(384\) −257.796 6825.80i −0.0342593 0.907104i
\(385\) −2260.54 3667.91i −0.299241 0.485542i
\(386\) −7614.83 −1.00410
\(387\) 2429.97 5054.93i 0.319179 0.663971i
\(388\) −3333.78 + 5774.27i −0.436203 + 0.755526i
\(389\) 2496.84 + 4324.65i 0.325436 + 0.563672i 0.981601 0.190946i \(-0.0611556\pi\)
−0.656164 + 0.754618i \(0.727822\pi\)
\(390\) 53.7234 + 1422.46i 0.00697536 + 0.184690i
\(391\) −2064.04 3575.03i −0.266964 0.462396i
\(392\) 3103.75 6168.75i 0.399906 0.794819i
\(393\) 3071.65 + 1622.04i 0.394260 + 0.208196i
\(394\) 6321.51 0.808308
\(395\) −48.3879 + 83.8103i −0.00616370 + 0.0106758i
\(396\) 4716.83 + 6907.93i 0.598560 + 0.876607i
\(397\) 1821.32 + 3154.62i 0.230250 + 0.398805i 0.957882 0.287163i \(-0.0927122\pi\)
−0.727631 + 0.685968i \(0.759379\pi\)
\(398\) −117.576 + 203.648i −0.0148079 + 0.0256481i
\(399\) −12546.6 6171.38i −1.57422 0.774324i
\(400\) 951.853 + 1648.66i 0.118982 + 0.206082i
\(401\) 5351.45 9268.99i 0.666431 1.15429i −0.312464 0.949930i \(-0.601154\pi\)
0.978895 0.204363i \(-0.0655122\pi\)
\(402\) 124.704 + 3301.87i 0.0154719 + 0.409657i
\(403\) 4316.12 + 7475.74i 0.533502 + 0.924052i
\(404\) 2180.32 + 3776.42i 0.268502 + 0.465060i
\(405\) −1176.38 + 3009.75i −0.144333 + 0.369273i
\(406\) 5201.58 149.436i 0.635838 0.0182669i
\(407\) −4256.66 + 7372.75i −0.518414 + 0.897920i
\(408\) −10144.0 5356.72i −1.23089 0.649994i
\(409\) 4918.40 0.594619 0.297310 0.954781i \(-0.403911\pi\)
0.297310 + 0.954781i \(0.403911\pi\)
\(410\) 674.445 0.0812402
\(411\) −10233.7 + 6435.26i −1.22820 + 0.772331i
\(412\) −1173.86 + 2033.18i −0.140368 + 0.243125i
\(413\) 1435.82 + 2329.73i 0.171070 + 0.277575i
\(414\) −637.699 + 1326.57i −0.0757033 + 0.157481i
\(415\) 2329.70 + 4035.16i 0.275568 + 0.477297i
\(416\) −3995.27 6920.00i −0.470875 0.815580i
\(417\) −1051.64 + 661.301i −0.123499 + 0.0776596i
\(418\) −5521.07 + 9562.78i −0.646039 + 1.11897i
\(419\) −2009.53 3480.60i −0.234300 0.405820i 0.724769 0.688992i \(-0.241947\pi\)
−0.959069 + 0.283172i \(0.908613\pi\)
\(420\) 167.259 + 2512.57i 0.0194319 + 0.291906i
\(421\) 6249.87 10825.1i 0.723516 1.25317i −0.236066 0.971737i \(-0.575858\pi\)
0.959582 0.281429i \(-0.0908084\pi\)
\(422\) 1373.79 + 2379.48i 0.158472 + 0.274482i
\(423\) −2019.69 + 152.777i −0.232153 + 0.0175609i
\(424\) 4292.02 7434.00i 0.491602 0.851479i
\(425\) 11552.4 1.31852
\(426\) 101.177 + 2678.92i 0.0115071 + 0.304681i
\(427\) −2536.47 4115.64i −0.287467 0.466439i
\(428\) 1556.51 + 2695.95i 0.175787 + 0.304472i
\(429\) 10291.6 + 5434.65i 1.15823 + 0.611626i
\(430\) −666.706 1154.77i −0.0747707 0.129507i
\(431\) 7811.23 13529.4i 0.872978 1.51204i 0.0140778 0.999901i \(-0.495519\pi\)
0.858901 0.512142i \(-0.171148\pi\)
\(432\) −286.494 2518.94i −0.0319073 0.280538i
\(433\) 383.001 0.0425077 0.0212539 0.999774i \(-0.493234\pi\)
0.0212539 + 0.999774i \(0.493234\pi\)
\(434\) −2846.07 4617.99i −0.314783 0.510761i
\(435\) −3783.33 + 2379.07i −0.417004 + 0.262224i
\(436\) 0.498609 0.863616i 5.47684e−5 9.48617e-5i
\(437\) 5469.69 0.598743
\(438\) 2534.17 + 1338.21i 0.276455 + 0.145987i
\(439\) −13784.6 −1.49864 −0.749318 0.662211i \(-0.769618\pi\)
−0.749318 + 0.662211i \(0.769618\pi\)
\(440\) 4683.69 0.507469
\(441\) 3526.55 8563.27i 0.380796 0.924659i
\(442\) −6776.87 −0.729283
\(443\) 8074.79 0.866015 0.433008 0.901390i \(-0.357452\pi\)
0.433008 + 0.901390i \(0.357452\pi\)
\(444\) 4212.04 2648.65i 0.450213 0.283107i
\(445\) 2560.53 0.272766
\(446\) −3206.81 + 5554.35i −0.340463 + 0.589700i
\(447\) 9157.11 + 4835.58i 0.968941 + 0.511666i
\(448\) 1229.81 + 1995.47i 0.129695 + 0.210440i
\(449\) −17506.7 −1.84007 −0.920037 0.391832i \(-0.871842\pi\)
−0.920037 + 0.391832i \(0.871842\pi\)
\(450\) −2322.72 3401.69i −0.243320 0.356349i
\(451\) 2757.14 4775.50i 0.287868 0.498602i
\(452\) −885.228 1533.26i −0.0921187 0.159554i
\(453\) 10384.1 6529.83i 1.07701 0.677259i
\(454\) −2090.98 3621.69i −0.216156 0.374393i
\(455\) 1838.24 + 2982.69i 0.189402 + 0.307320i
\(456\) 12867.1 8091.23i 1.32140 0.830935i
\(457\) 1323.72 0.135495 0.0677474 0.997703i \(-0.478419\pi\)
0.0677474 + 0.997703i \(0.478419\pi\)
\(458\) 356.365 617.242i 0.0363577 0.0629734i
\(459\) −14107.2 6137.27i −1.43457 0.624103i
\(460\) −492.531 853.089i −0.0499226 0.0864685i
\(461\) 7172.07 12422.4i 0.724591 1.25503i −0.234551 0.972104i \(-0.575362\pi\)
0.959142 0.282925i \(-0.0913048\pi\)
\(462\) −6562.72 3228.05i −0.660877 0.325070i
\(463\) 1972.13 + 3415.83i 0.197954 + 0.342866i 0.947865 0.318673i \(-0.103237\pi\)
−0.749911 + 0.661539i \(0.769904\pi\)
\(464\) 1753.09 3036.44i 0.175399 0.303800i
\(465\) 4119.72 + 2175.49i 0.410854 + 0.216959i
\(466\) 3461.21 + 5995.00i 0.344072 + 0.595950i
\(467\) −7039.21 12192.3i −0.697507 1.20812i −0.969328 0.245769i \(-0.920959\pi\)
0.271822 0.962348i \(-0.412374\pi\)
\(468\) −3835.67 5617.44i −0.378854 0.554842i
\(469\) 4266.97 + 6923.52i 0.420108 + 0.681660i
\(470\) −240.768 + 417.023i −0.0236294 + 0.0409273i
\(471\) 443.739 + 11749.1i 0.0434106 + 1.14941i
\(472\) −2974.93 −0.290110
\(473\) −10902.0 −1.05978
\(474\) 6.19988 + 164.158i 0.000600780 + 0.0159072i
\(475\) −7653.42 + 13256.1i −0.739290 + 1.28049i
\(476\) −11983.3 + 344.268i −1.15390 + 0.0331502i
\(477\) 4987.61 10375.5i 0.478757 0.995931i
\(478\) −4278.51 7410.61i −0.409403 0.709107i
\(479\) −4988.58 8640.48i −0.475854 0.824204i 0.523763 0.851864i \(-0.324528\pi\)
−0.999617 + 0.0276601i \(0.991194\pi\)
\(480\) −3813.46 2013.77i −0.362625 0.191491i
\(481\) 3461.46 5995.42i 0.328126 0.568332i
\(482\) −109.805 190.188i −0.0103765 0.0179727i
\(483\) 240.633 + 3614.80i 0.0226691 + 0.340536i
\(484\) 4201.08 7276.48i 0.394541 0.683365i
\(485\) 2503.42 + 4336.05i 0.234380 + 0.405959i
\(486\) 1029.22 + 5387.93i 0.0960625 + 0.502884i
\(487\) −1115.24 + 1931.66i −0.103771 + 0.179737i −0.913235 0.407432i \(-0.866424\pi\)
0.809464 + 0.587169i \(0.199758\pi\)
\(488\) 5255.42 0.487503
\(489\) −9551.77 + 6006.44i −0.883325 + 0.555461i
\(490\) −1208.51 1840.40i −0.111418 0.169675i
\(491\) 2482.38 + 4299.61i 0.228163 + 0.395191i 0.957264 0.289216i \(-0.0933946\pi\)
−0.729100 + 0.684407i \(0.760061\pi\)
\(492\) −2728.24 + 1715.60i −0.249997 + 0.157205i
\(493\) −10638.4 18426.2i −0.971863 1.68332i
\(494\) 4489.66 7776.32i 0.408906 0.708246i
\(495\) 6263.38 473.784i 0.568723 0.0430202i
\(496\) −3654.98 −0.330874
\(497\) 3461.94 + 5617.29i 0.312453 + 0.506981i
\(498\) 6993.96 + 3693.29i 0.629331 + 0.332330i
\(499\) −6132.96 + 10622.6i −0.550198 + 0.952971i 0.448062 + 0.894003i \(0.352114\pi\)
−0.998260 + 0.0589685i \(0.981219\pi\)
\(500\) 6027.52 0.539118
\(501\) 151.116 95.0265i 0.0134758 0.00847399i
\(502\) −43.1800 −0.00383908
\(503\) 16083.2 1.42567 0.712836 0.701331i \(-0.247411\pi\)
0.712836 + 0.701331i \(0.247411\pi\)
\(504\) 5913.38 + 8147.62i 0.522625 + 0.720087i
\(505\) 3274.52 0.288543
\(506\) 2861.02 0.251359
\(507\) 1725.91 + 911.396i 0.151184 + 0.0798353i
\(508\) 6592.64 0.575790
\(509\) −10632.4 + 18415.9i −0.925882 + 1.60368i −0.135746 + 0.990744i \(0.543343\pi\)
−0.790136 + 0.612932i \(0.789990\pi\)
\(510\) −3096.21 + 1946.99i −0.268828 + 0.169047i
\(511\) 7050.77 202.561i 0.610387 0.0175358i
\(512\) 6293.71 0.543252
\(513\) 16388.4 12121.8i 1.41046 1.04325i
\(514\) −437.297 + 757.421i −0.0375260 + 0.0649969i
\(515\) 881.479 + 1526.77i 0.0754226 + 0.130636i
\(516\) 5634.33 + 2975.31i 0.480693 + 0.253839i
\(517\) 1968.53 + 3409.59i 0.167458 + 0.290045i
\(518\) −2066.12 + 3828.48i −0.175251 + 0.324737i
\(519\) 19.6879 + 521.288i 0.00166513 + 0.0440886i
\(520\) −3808.72 −0.321199
\(521\) −10110.9 + 17512.6i −0.850224 + 1.47263i 0.0307825 + 0.999526i \(0.490200\pi\)
−0.881006 + 0.473105i \(0.843133\pi\)
\(522\) −3286.80 + 6837.34i −0.275592 + 0.573299i
\(523\) −3623.07 6275.34i −0.302917 0.524668i 0.673878 0.738842i \(-0.264627\pi\)
−0.976795 + 0.214175i \(0.931294\pi\)
\(524\) −1973.09 + 3417.48i −0.164494 + 0.284911i
\(525\) −9097.37 4474.78i −0.756270 0.371991i
\(526\) 1970.65 + 3413.26i 0.163354 + 0.282938i
\(527\) −11089.9 + 19208.2i −0.916665 + 1.58771i
\(528\) −4171.58 + 2623.22i −0.343835 + 0.216214i
\(529\) 5374.90 + 9309.60i 0.441761 + 0.765152i
\(530\) −1368.44 2370.21i −0.112153 0.194255i
\(531\) −3978.29 + 300.932i −0.325128 + 0.0245938i
\(532\) 7543.88 13978.7i 0.614791 1.13920i
\(533\) −2242.07 + 3883.37i −0.182204 + 0.315587i
\(534\) 3679.43 2313.74i 0.298173 0.187500i
\(535\) 2337.65 0.188907
\(536\) −8840.91 −0.712443
\(537\) −9076.86 4793.20i −0.729414 0.385180i
\(538\) −1949.44 + 3376.53i −0.156220 + 0.270581i
\(539\) −17971.6 + 1033.46i −1.43617 + 0.0825871i
\(540\) −3366.32 1464.50i −0.268265 0.116708i
\(541\) −5211.51 9026.60i −0.414160 0.717346i 0.581180 0.813775i \(-0.302591\pi\)
−0.995340 + 0.0964293i \(0.969258\pi\)
\(542\) −862.807 1494.42i −0.0683777 0.118434i
\(543\) 430.195 + 11390.5i 0.0339989 + 0.900208i
\(544\) 10265.5 17780.3i 0.809059 1.40133i
\(545\) −0.374419 0.648513i −2.94282e−5 5.09711e-5i
\(546\) 5336.71 + 2625.01i 0.418297 + 0.205751i
\(547\) 3552.96 6153.91i 0.277721 0.481028i −0.693097 0.720845i \(-0.743754\pi\)
0.970818 + 0.239817i \(0.0770874\pi\)
\(548\) −6866.73 11893.5i −0.535278 0.927129i
\(549\) 7027.93 531.617i 0.546347 0.0413276i
\(550\) −4003.25 + 6933.84i −0.310362 + 0.537563i
\(551\) 28191.6 2.17968
\(552\) −3482.50 1839.00i −0.268524 0.141799i
\(553\) 212.139 + 344.214i 0.0163130 + 0.0264692i
\(554\) −5054.49 8754.63i −0.387625 0.671387i
\(555\) −141.012 3733.65i −0.0107849 0.285558i
\(556\) −705.640 1222.21i −0.0538234 0.0932249i
\(557\) −47.2835 + 81.8974i −0.00359689 + 0.00622999i −0.867818 0.496882i \(-0.834478\pi\)
0.864221 + 0.503112i \(0.167812\pi\)
\(558\) 7885.75 596.506i 0.598262 0.0452547i
\(559\) 8865.36 0.670777
\(560\) −1482.87 + 42.6013i −0.111898 + 0.00321470i
\(561\) 1128.60 + 29882.5i 0.0849364 + 2.24891i
\(562\) −4450.81 + 7709.03i −0.334068 + 0.578622i
\(563\) −10193.1 −0.763031 −0.381515 0.924363i \(-0.624598\pi\)
−0.381515 + 0.924363i \(0.624598\pi\)
\(564\) −86.8422 2299.37i −0.00648354 0.171668i
\(565\) −1329.48 −0.0989943
\(566\) −6928.78 −0.514556
\(567\) 8731.98 + 10297.4i 0.646753 + 0.762700i
\(568\) −7172.94 −0.529876
\(569\) −16381.8 −1.20696 −0.603479 0.797379i \(-0.706219\pi\)
−0.603479 + 0.797379i \(0.706219\pi\)
\(570\) −182.899 4842.71i −0.0134400 0.355858i
\(571\) 8838.50 0.647776 0.323888 0.946096i \(-0.395010\pi\)
0.323888 + 0.946096i \(0.395010\pi\)
\(572\) −6610.84 + 11450.3i −0.483240 + 0.836996i
\(573\) −210.290 5567.95i −0.0153315 0.405942i
\(574\) 1338.27 2479.80i 0.0973143 0.180322i
\(575\) 3966.00 0.287641
\(576\) −3407.50 + 257.755i −0.246491 + 0.0186455i
\(577\) 784.410 1358.64i 0.0565952 0.0980257i −0.836340 0.548211i \(-0.815309\pi\)
0.892935 + 0.450186i \(0.148642\pi\)
\(578\) −5149.04 8918.41i −0.370540 0.641794i
\(579\) −1031.24 27304.7i −0.0740187 1.95983i
\(580\) −2538.58 4396.95i −0.181739 0.314782i
\(581\) 19459.2 559.042i 1.38951 0.0399190i
\(582\) 7515.49 + 3968.69i 0.535270 + 0.282659i
\(583\) −22376.8 −1.58963
\(584\) −3833.93 + 6640.56i −0.271659 + 0.470528i
\(585\) −5093.29 + 385.275i −0.359969 + 0.0272293i
\(586\) −5980.67 10358.8i −0.421603 0.730237i
\(587\) −3938.28 + 6821.29i −0.276917 + 0.479634i −0.970617 0.240630i \(-0.922646\pi\)
0.693700 + 0.720264i \(0.255979\pi\)
\(588\) 9570.09 + 4370.60i 0.671197 + 0.306532i
\(589\) −14694.0 25450.8i −1.02794 1.78044i
\(590\) −474.252 + 821.429i −0.0330927 + 0.0573182i
\(591\) 856.092 + 22667.2i 0.0595853 + 1.57767i
\(592\) 1465.62 + 2538.52i 0.101751 + 0.176238i
\(593\) 11693.9 + 20254.4i 0.809797 + 1.40261i 0.913004 + 0.407950i \(0.133756\pi\)
−0.103207 + 0.994660i \(0.532910\pi\)
\(594\) 8572.22 6340.50i 0.592125 0.437969i
\(595\) −4275.41 + 7922.27i −0.294580 + 0.545851i
\(596\) −5882.11 + 10188.1i −0.404263 + 0.700203i
\(597\) −746.149 394.017i −0.0511522 0.0270118i
\(598\) −2326.54 −0.159096
\(599\) 5493.80 0.374742 0.187371 0.982289i \(-0.440003\pi\)
0.187371 + 0.982289i \(0.440003\pi\)
\(600\) 9329.77 5866.84i 0.634810 0.399188i
\(601\) 4107.69 7114.73i 0.278796 0.482888i −0.692290 0.721619i \(-0.743398\pi\)
0.971086 + 0.238731i \(0.0767314\pi\)
\(602\) −5568.76 + 159.985i −0.377020 + 0.0108314i
\(603\) −11822.7 + 894.312i −0.798438 + 0.0603967i
\(604\) 6967.65 + 12068.3i 0.469387 + 0.813002i
\(605\) −3154.70 5464.10i −0.211995 0.367186i
\(606\) 4705.42 2958.91i 0.315420 0.198345i
\(607\) −11482.1 + 19887.6i −0.767783 + 1.32984i 0.170979 + 0.985275i \(0.445307\pi\)
−0.938763 + 0.344565i \(0.888026\pi\)
\(608\) 13601.7 + 23558.8i 0.907273 + 1.57144i
\(609\) 1240.26 + 18631.2i 0.0825253 + 1.23970i
\(610\) 837.801 1451.11i 0.0556091 0.0963178i
\(611\) −1600.78 2772.63i −0.105991 0.183582i
\(612\) 7572.07 15751.8i 0.500135 1.04040i
\(613\) 9736.80 16864.6i 0.641542 1.11118i −0.343546 0.939136i \(-0.611628\pi\)
0.985089 0.172048i \(-0.0550385\pi\)
\(614\) 2297.08 0.150981
\(615\) 91.3368 + 2418.38i 0.00598871 + 0.158566i
\(616\) 9293.66 17221.0i 0.607877 1.12639i
\(617\) −13722.0 23767.1i −0.895341 1.55078i −0.833382 0.552697i \(-0.813599\pi\)
−0.0619588 0.998079i \(-0.519735\pi\)
\(618\) 2646.28 + 1397.41i 0.172247 + 0.0909583i
\(619\) 4280.39 + 7413.85i 0.277938 + 0.481402i 0.970872 0.239598i \(-0.0770158\pi\)
−0.692934 + 0.721001i \(0.743682\pi\)
\(620\) −2646.32 + 4583.55i −0.171417 + 0.296903i
\(621\) −4843.08 2106.96i −0.312956 0.136151i
\(622\) −4069.05 −0.262306
\(623\) 5080.76 9414.56i 0.326736 0.605436i
\(624\) 3392.28 2133.16i 0.217628 0.136851i
\(625\) −4321.31 + 7484.72i −0.276564 + 0.479022i
\(626\) 6570.66 0.419515
\(627\) −35037.2 18502.0i −2.23166 1.17847i
\(628\) −13357.0 −0.848729
\(629\) 17787.8 1.12758
\(630\) 3192.39 333.924i 0.201886 0.0211172i
\(631\) 20165.6 1.27224 0.636118 0.771592i \(-0.280539\pi\)
0.636118 + 0.771592i \(0.280539\pi\)
\(632\) −439.540 −0.0276645
\(633\) −8346.11 + 5248.29i −0.524057 + 0.329543i
\(634\) −3168.26 −0.198466
\(635\) 2475.30 4287.34i 0.154692 0.267934i
\(636\) 11564.7 + 6106.94i 0.721022 + 0.380748i
\(637\) 14614.3 840.399i 0.909010 0.0522729i
\(638\) 14746.1 0.915054
\(639\) −9592.17 + 725.586i −0.593835 + 0.0449198i
\(640\) 2913.57 5046.44i 0.179951 0.311685i
\(641\) −4245.54 7353.49i −0.261605 0.453113i 0.705064 0.709144i \(-0.250918\pi\)
−0.966669 + 0.256031i \(0.917585\pi\)
\(642\) 3359.15 2112.34i 0.206503 0.129855i
\(643\) 10428.6 + 18062.8i 0.639599 + 1.10782i 0.985521 + 0.169555i \(0.0542329\pi\)
−0.345922 + 0.938263i \(0.612434\pi\)
\(644\) −4113.95 + 118.189i −0.251727 + 0.00723185i
\(645\) 4050.39 2547.01i 0.247262 0.155486i
\(646\) 23071.5 1.40517
\(647\) 1920.65 3326.66i 0.116705 0.202140i −0.801755 0.597653i \(-0.796100\pi\)
0.918460 + 0.395513i \(0.129433\pi\)
\(648\) −14509.8 + 2207.78i −0.879630 + 0.133842i
\(649\) 3877.50 + 6716.02i 0.234522 + 0.406205i
\(650\) 3255.39 5638.50i 0.196442 0.340247i
\(651\) 16173.4 10830.6i 0.973711 0.652052i
\(652\) −6409.16 11101.0i −0.384972 0.666792i
\(653\) 3356.42 5813.48i 0.201144 0.348391i −0.747754 0.663976i \(-0.768868\pi\)
0.948897 + 0.315585i \(0.102201\pi\)
\(654\) −1.12404 0.593568i −6.72070e−5 3.54898e-5i
\(655\) 1481.64 + 2566.28i 0.0883856 + 0.153088i
\(656\) −949.315 1644.26i −0.0565008 0.0978623i
\(657\) −4455.27 + 9268.06i −0.264561 + 0.550352i
\(658\) 1055.56 + 1712.74i 0.0625382 + 0.101473i
\(659\) 3122.01 5407.48i 0.184547 0.319644i −0.758877 0.651234i \(-0.774252\pi\)
0.943424 + 0.331590i \(0.107585\pi\)
\(660\) 269.311 + 7130.69i 0.0158832 + 0.420548i
\(661\) −10122.8 −0.595662 −0.297831 0.954619i \(-0.596263\pi\)
−0.297831 + 0.954619i \(0.596263\pi\)
\(662\) −2618.96 −0.153760
\(663\) −917.759 24300.0i −0.0537599 1.42343i
\(664\) −10581.1 + 18327.1i −0.618415 + 1.07113i
\(665\) −6258.20 10154.4i −0.364936 0.592139i
\(666\) −3576.42 5237.76i −0.208083 0.304743i
\(667\) −3652.22 6325.83i −0.212016 0.367222i
\(668\) 101.398 + 175.626i 0.00587306 + 0.0101724i
\(669\) −20350.7 10746.5i −1.17609 0.621054i
\(670\) −1409.39 + 2441.13i −0.0812678 + 0.140760i
\(671\) −6849.88 11864.3i −0.394093 0.682589i
\(672\) −14971.1 + 10025.5i −0.859409 + 0.575509i
\(673\) −13958.8 + 24177.4i −0.799515 + 1.38480i 0.120417 + 0.992723i \(0.461577\pi\)
−0.919932 + 0.392077i \(0.871757\pi\)
\(674\) −1223.95 2119.95i −0.0699478 0.121153i
\(675\) 11883.0 8789.32i 0.677594 0.501187i
\(676\) −1108.64 + 1920.23i −0.0630771 + 0.109253i
\(677\) 3273.96 0.185862 0.0929309 0.995673i \(-0.470376\pi\)
0.0929309 + 0.995673i \(0.470376\pi\)
\(678\) −1910.44 + 1201.34i −0.108215 + 0.0680490i
\(679\) 20910.2 600.728i 1.18183 0.0339526i
\(680\) −4893.07 8475.05i −0.275942 0.477946i
\(681\) 12703.2 7988.16i 0.714814 0.449496i
\(682\) −7685.97 13312.5i −0.431541 0.747451i
\(683\) 14977.3 25941.4i 0.839077 1.45332i −0.0515911 0.998668i \(-0.516429\pi\)
0.890668 0.454655i \(-0.150237\pi\)
\(684\) 13058.3 + 19124.3i 0.729968 + 1.06906i
\(685\) −10312.8 −0.575231
\(686\) −9164.79 + 791.626i −0.510077 + 0.0440589i
\(687\) 2261.52 + 1194.24i 0.125593 + 0.0663216i
\(688\) −1876.84 + 3250.79i −0.104003 + 0.180138i
\(689\) 18196.5 1.00614
\(690\) −1062.95 + 668.413i −0.0586460 + 0.0368783i
\(691\) 23976.9 1.32001 0.660003 0.751263i \(-0.270555\pi\)
0.660003 + 0.751263i \(0.270555\pi\)
\(692\) −592.626 −0.0325553
\(693\) 10686.1 23969.3i 0.585762 1.31388i
\(694\) 12474.0 0.682285
\(695\) −1059.77 −0.0578407
\(696\) −17949.3 9478.46i −0.977539 0.516207i
\(697\) −11521.6 −0.626127
\(698\) 4973.41 8614.20i 0.269694 0.467123i
\(699\) −21027.7 + 13222.8i −1.13783 + 0.715499i
\(700\) 5469.96 10135.8i 0.295350 0.547279i
\(701\) −17256.4 −0.929762 −0.464881 0.885373i \(-0.653903\pi\)
−0.464881 + 0.885373i \(0.653903\pi\)
\(702\) −6970.81 + 5156.01i −0.374781 + 0.277209i
\(703\) −11784.4 + 20411.1i −0.632227 + 1.09505i
\(704\) 3321.17 + 5752.43i 0.177800 + 0.307959i
\(705\) −1527.94 806.854i −0.0816247 0.0431034i
\(706\) 27.7086 + 47.9928i 0.00147709 + 0.00255840i
\(707\) 6497.49 12039.8i 0.345634 0.640455i
\(708\) −171.057 4529.17i −0.00908011 0.240419i
\(709\) −25346.9 −1.34263 −0.671314 0.741173i \(-0.734270\pi\)
−0.671314 + 0.741173i \(0.734270\pi\)
\(710\) −1143.49 + 1980.57i −0.0604426 + 0.104690i
\(711\) −587.785 + 44.4621i −0.0310037 + 0.00234523i
\(712\) 5814.77 + 10071.5i 0.306064 + 0.530118i
\(713\) −3807.22 + 6594.30i −0.199974 + 0.346365i
\(714\) 1015.01 + 15247.5i 0.0532013 + 0.799190i
\(715\) 4964.26 + 8598.34i 0.259654 + 0.449734i
\(716\) 5830.56 10098.8i 0.304327 0.527110i
\(717\) 25993.0 16345.2i 1.35387 0.851355i
\(718\) 582.204 + 1008.41i 0.0302614 + 0.0524143i
\(719\) −6056.07 10489.4i −0.314121 0.544074i 0.665129 0.746728i \(-0.268377\pi\)
−0.979250 + 0.202654i \(0.935043\pi\)
\(720\) 937.003 1949.20i 0.0485001 0.100892i
\(721\) 7362.69 211.522i 0.380307 0.0109258i
\(722\) −10318.6 + 17872.4i −0.531883 + 0.921248i
\(723\) 667.092 419.487i 0.0343145 0.0215780i
\(724\) −12949.3 −0.664719
\(725\) 20441.4 1.04713
\(726\) −9470.68 5001.16i −0.484146 0.255662i
\(727\) 8747.77 15151.6i 0.446268 0.772959i −0.551871 0.833929i \(-0.686086\pi\)
0.998140 + 0.0609701i \(0.0194194\pi\)
\(728\) −7557.48 + 14003.9i −0.384751 + 0.712937i
\(729\) −19180.3 + 4420.16i −0.974459 + 0.224568i
\(730\) 1222.38 + 2117.23i 0.0619759 + 0.107345i
\(731\) 11389.4 + 19726.9i 0.576266 + 0.998122i
\(732\) 302.185 + 8001.11i 0.0152583 + 0.404002i
\(733\) −9869.33 + 17094.2i −0.497315 + 0.861375i −0.999995 0.00309747i \(-0.999014\pi\)
0.502680 + 0.864473i \(0.332347\pi\)
\(734\) 6079.45 + 10529.9i 0.305717 + 0.529518i
\(735\) 6435.51 4582.63i 0.322963 0.229977i
\(736\) 3524.20 6104.09i 0.176499 0.305706i
\(737\) 11523.2 + 19958.7i 0.575932 + 0.997544i
\(738\) 2316.53 + 3392.62i 0.115546 + 0.169220i
\(739\) −19917.8 + 34498.7i −0.991460 + 1.71726i −0.382791 + 0.923835i \(0.625037\pi\)
−0.608669 + 0.793424i \(0.708296\pi\)
\(740\) 4244.60 0.210858
\(741\) 28491.8 + 15045.6i 1.41251 + 0.745902i
\(742\) −11430.1 + 328.375i −0.565515 + 0.0162467i
\(743\) −5385.11 9327.28i −0.265896 0.460545i 0.701902 0.712273i \(-0.252334\pi\)
−0.967798 + 0.251729i \(0.919001\pi\)
\(744\) 798.587 + 21144.6i 0.0393516 + 1.04194i
\(745\) 4417.03 + 7650.53i 0.217218 + 0.376233i
\(746\) 2864.63 4961.69i 0.140592 0.243513i
\(747\) −12296.0 + 25578.6i −0.602256 + 1.25284i
\(748\) −33971.9 −1.66061
\(749\) 4638.50 8595.06i 0.226284 0.419301i
\(750\) −289.970 7677.69i −0.0141176 0.373799i
\(751\) 19140.0 33151.5i 0.929998 1.61080i 0.146680 0.989184i \(-0.453141\pi\)
0.783319 0.621620i \(-0.213525\pi\)
\(752\) 1355.57 0.0657350
\(753\) −5.84766 154.832i −0.000283002 0.00749320i
\(754\) −11991.3 −0.579176
\(755\) 10464.4 0.504421
\(756\) −12064.3 + 9471.32i −0.580391 + 0.455646i
\(757\) 14993.2 0.719862 0.359931 0.932979i \(-0.382800\pi\)
0.359931 + 0.932979i \(0.382800\pi\)
\(758\) −3190.45 −0.152879
\(759\) 387.454 + 10258.8i 0.0185292 + 0.490608i
\(760\) 12966.6 0.618879
\(761\) 5633.54 9757.58i 0.268352 0.464799i −0.700085 0.714060i \(-0.746854\pi\)
0.968436 + 0.249261i \(0.0801877\pi\)
\(762\) −317.156 8397.53i −0.0150779 0.399226i
\(763\) −3.12739 + 0.0898466i −0.000148387 + 4.26300e-6i
\(764\) 6329.93 0.299750
\(765\) −7400.68 10838.5i −0.349767 0.512244i
\(766\) −5805.65 + 10055.7i −0.273847 + 0.474317i
\(767\) −3153.13 5461.38i −0.148439 0.257104i
\(768\) −571.873 15141.8i −0.0268694 0.711436i
\(769\) 10254.7 + 17761.7i 0.480878 + 0.832905i 0.999759 0.0219410i \(-0.00698459\pi\)
−0.518881 + 0.854846i \(0.673651\pi\)
\(770\) −3273.46 5311.46i −0.153204 0.248586i
\(771\) −2775.13 1465.45i −0.129629 0.0684527i
\(772\) 31041.3 1.44715
\(773\) −9879.14 + 17111.2i −0.459674 + 0.796178i −0.998944 0.0459548i