Properties

Label 177.4.f.a.2.15
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.15
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.181075 + 3.33974i) q^{2} +(-4.07453 - 3.22462i) q^{3} +(-3.16798 - 0.344538i) q^{4} +(5.90079 - 17.5129i) q^{5} +(11.5072 - 13.0240i) q^{6} +(-10.9419 - 16.1380i) q^{7} +(-2.60452 + 15.8869i) q^{8} +(6.20361 + 26.2777i) q^{9} +O(q^{10})\) \(q+(-0.181075 + 3.33974i) q^{2} +(-4.07453 - 3.22462i) q^{3} +(-3.16798 - 0.344538i) q^{4} +(5.90079 - 17.5129i) q^{5} +(11.5072 - 13.0240i) q^{6} +(-10.9419 - 16.1380i) q^{7} +(-2.60452 + 15.8869i) q^{8} +(6.20361 + 26.2777i) q^{9} +(57.4202 + 22.8783i) q^{10} +(-44.9372 + 9.89142i) q^{11} +(11.7970 + 11.6194i) q^{12} +(-47.2303 + 40.1178i) q^{13} +(55.8781 - 33.6208i) q^{14} +(-80.5156 + 52.3291i) q^{15} +(-77.4836 - 17.0554i) q^{16} +(92.6168 + 62.7957i) q^{17} +(-88.8839 + 15.9602i) q^{18} +(-59.2307 + 111.721i) q^{19} +(-24.7274 + 53.4475i) q^{20} +(-7.45614 + 101.038i) q^{21} +(-24.8978 - 151.870i) q^{22} +(26.4430 - 25.0482i) q^{23} +(61.8413 - 56.3329i) q^{24} +(-172.372 - 131.034i) q^{25} +(-125.431 - 165.001i) q^{26} +(59.4588 - 127.073i) q^{27} +(29.1034 + 54.8948i) q^{28} +(47.2340 - 2.56095i) q^{29} +(-160.186 - 278.377i) q^{30} +(-86.0183 + 45.6040i) q^{31} +(36.5357 - 131.590i) q^{32} +(214.994 + 104.603i) q^{33} +(-226.492 + 297.945i) q^{34} +(-347.190 + 96.3968i) q^{35} +(-10.5992 - 85.3844i) q^{36} +(-8.67226 + 1.42174i) q^{37} +(-362.394 - 218.045i) q^{38} +(321.806 - 11.1612i) q^{39} +(262.857 + 139.358i) q^{40} +(159.215 - 168.082i) q^{41} +(-336.091 - 43.1971i) q^{42} +(1.92073 - 8.72597i) q^{43} +(145.768 - 15.8532i) q^{44} +(496.805 + 46.4157i) q^{45} +(78.8662 + 92.8485i) q^{46} +(-516.013 + 173.865i) q^{47} +(260.712 + 319.348i) q^{48} +(-13.7544 + 34.5210i) q^{49} +(468.830 - 551.950i) q^{50} +(-174.877 - 554.517i) q^{51} +(163.447 - 110.820i) q^{52} +(-349.864 + 139.399i) q^{53} +(413.626 + 221.587i) q^{54} +(-91.9372 + 845.349i) q^{55} +(284.881 - 131.800i) q^{56} +(601.595 - 264.214i) q^{57} +158.213i q^{58} +(-84.1067 - 445.315i) q^{59} +(273.101 - 138.037i) q^{60} +(-463.822 - 25.1477i) q^{61} +(-136.730 - 295.537i) q^{62} +(356.191 - 387.640i) q^{63} +(-168.623 - 56.8157i) q^{64} +(423.884 + 1063.87i) q^{65} +(-388.276 + 699.083i) q^{66} +(-171.940 - 28.1882i) q^{67} +(-271.772 - 230.845i) q^{68} +(-188.514 + 16.7907i) q^{69} +(-259.073 - 1176.98i) q^{70} +(-265.508 - 787.999i) q^{71} +(-433.627 + 30.1152i) q^{72} +(140.842 + 234.081i) q^{73} +(-3.17793 - 29.2205i) q^{74} +(279.800 + 1089.73i) q^{75} +(226.134 - 333.522i) q^{76} +(651.324 + 616.967i) q^{77} +(-20.9957 + 1076.77i) q^{78} +(188.717 + 87.3100i) q^{79} +(-755.905 + 1256.32i) q^{80} +(-652.031 + 326.033i) q^{81} +(532.519 + 562.174i) q^{82} +(196.501 + 707.734i) q^{83} +(58.4324 - 317.518i) q^{84} +(1646.25 - 1251.45i) q^{85} +(28.7947 + 7.99480i) q^{86} +(-200.715 - 141.877i) q^{87} +(-40.1039 - 739.673i) q^{88} +(-56.5030 - 1042.14i) q^{89} +(-244.976 + 1650.80i) q^{90} +(1164.21 + 323.241i) q^{91} +(-92.4009 + 70.2414i) q^{92} +(497.540 + 91.5617i) q^{93} +(-487.227 - 1754.83i) q^{94} +(1607.05 + 1696.55i) q^{95} +(-573.193 + 418.353i) q^{96} +(-780.352 + 1296.96i) q^{97} +(-112.800 - 52.1870i) q^{98} +(-538.696 - 1119.48i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.181075 + 3.33974i −0.0640198 + 1.18078i 0.773292 + 0.634050i \(0.218609\pi\)
−0.837311 + 0.546726i \(0.815874\pi\)
\(3\) −4.07453 3.22462i −0.784144 0.620579i
\(4\) −3.16798 0.344538i −0.395997 0.0430673i
\(5\) 5.90079 17.5129i 0.527783 1.56640i −0.269626 0.962965i \(-0.586900\pi\)
0.797409 0.603439i \(-0.206203\pi\)
\(6\) 11.5072 13.0240i 0.782966 0.886169i
\(7\) −10.9419 16.1380i −0.590805 0.871372i 0.408335 0.912832i \(-0.366109\pi\)
−0.999140 + 0.0414602i \(0.986799\pi\)
\(8\) −2.60452 + 15.8869i −0.115104 + 0.702106i
\(9\) 6.20361 + 26.2777i 0.229763 + 0.973247i
\(10\) 57.4202 + 22.8783i 1.81578 + 0.723475i
\(11\) −44.9372 + 9.89142i −1.23173 + 0.271125i −0.782705 0.622393i \(-0.786161\pi\)
−0.449028 + 0.893518i \(0.648230\pi\)
\(12\) 11.7970 + 11.6194i 0.283792 + 0.279518i
\(13\) −47.2303 + 40.1178i −1.00764 + 0.855899i −0.989587 0.143938i \(-0.954023\pi\)
−0.0180550 + 0.999837i \(0.505747\pi\)
\(14\) 55.8781 33.6208i 1.06672 0.641823i
\(15\) −80.5156 + 52.3291i −1.38594 + 0.900755i
\(16\) −77.4836 17.0554i −1.21068 0.266491i
\(17\) 92.6168 + 62.7957i 1.32134 + 0.895894i 0.998717 0.0506319i \(-0.0161235\pi\)
0.322628 + 0.946526i \(0.395434\pi\)
\(18\) −88.8839 + 15.9602i −1.16390 + 0.208992i
\(19\) −59.2307 + 111.721i −0.715182 + 1.34898i 0.213075 + 0.977036i \(0.431652\pi\)
−0.928257 + 0.371940i \(0.878693\pi\)
\(20\) −24.7274 + 53.4475i −0.276461 + 0.597561i
\(21\) −7.45614 + 101.038i −0.0774792 + 1.04992i
\(22\) −24.8978 151.870i −0.241283 1.47176i
\(23\) 26.4430 25.0482i 0.239728 0.227083i −0.558397 0.829574i \(-0.688584\pi\)
0.798126 + 0.602491i \(0.205825\pi\)
\(24\) 61.8413 56.3329i 0.525971 0.479121i
\(25\) −172.372 131.034i −1.37897 1.04827i
\(26\) −125.431 165.001i −0.946116 1.24459i
\(27\) 59.4588 127.073i 0.423809 0.905752i
\(28\) 29.1034 + 54.8948i 0.196429 + 0.370505i
\(29\) 47.2340 2.56095i 0.302453 0.0163985i 0.0977121 0.995215i \(-0.468848\pi\)
0.204741 + 0.978816i \(0.434365\pi\)
\(30\) −160.186 278.377i −0.974863 1.69415i
\(31\) −86.0183 + 45.6040i −0.498366 + 0.264217i −0.698576 0.715536i \(-0.746182\pi\)
0.200210 + 0.979753i \(0.435838\pi\)
\(32\) 36.5357 131.590i 0.201833 0.726937i
\(33\) 214.994 + 104.603i 1.13411 + 0.551787i
\(34\) −226.492 + 297.945i −1.14244 + 1.50286i
\(35\) −347.190 + 96.3968i −1.67674 + 0.465544i
\(36\) −10.5992 85.3844i −0.0490705 0.395298i
\(37\) −8.67226 + 1.42174i −0.0385327 + 0.00631712i −0.181018 0.983480i \(-0.557939\pi\)
0.142485 + 0.989797i \(0.454491\pi\)
\(38\) −362.394 218.045i −1.54705 0.930831i
\(39\) 321.806 11.1612i 1.32129 0.0458263i
\(40\) 262.857 + 139.358i 1.03903 + 0.550860i
\(41\) 159.215 168.082i 0.606470 0.640243i −0.348372 0.937356i \(-0.613265\pi\)
0.954842 + 0.297114i \(0.0960240\pi\)
\(42\) −336.091 43.1971i −1.23476 0.158701i
\(43\) 1.92073 8.72597i 0.00681183 0.0309465i −0.973092 0.230417i \(-0.925991\pi\)
0.979904 + 0.199470i \(0.0639221\pi\)
\(44\) 145.768 15.8532i 0.499439 0.0543173i
\(45\) 496.805 + 46.4157i 1.64576 + 0.153761i
\(46\) 78.8662 + 92.8485i 0.252787 + 0.297604i
\(47\) −516.013 + 173.865i −1.60145 + 0.539592i −0.971500 0.237041i \(-0.923822\pi\)
−0.629953 + 0.776633i \(0.716926\pi\)
\(48\) 260.712 + 319.348i 0.783969 + 0.960291i
\(49\) −13.7544 + 34.5210i −0.0401003 + 0.100644i
\(50\) 468.830 551.950i 1.32605 1.56115i
\(51\) −174.877 554.517i −0.480151 1.52251i
\(52\) 163.447 110.820i 0.435884 0.295537i
\(53\) −349.864 + 139.399i −0.906746 + 0.361281i −0.776439 0.630193i \(-0.782976\pi\)
−0.130307 + 0.991474i \(0.541596\pi\)
\(54\) 413.626 + 221.587i 1.04236 + 0.558410i
\(55\) −91.9372 + 845.349i −0.225397 + 2.07249i
\(56\) 284.881 131.800i 0.679800 0.314509i
\(57\) 601.595 264.214i 1.39795 0.613964i
\(58\) 158.213i 0.358179i
\(59\) −84.1067 445.315i −0.185589 0.982627i
\(60\) 273.101 138.037i 0.587619 0.297008i
\(61\) −463.822 25.1477i −0.973546 0.0527841i −0.439503 0.898241i \(-0.644845\pi\)
−0.534043 + 0.845457i \(0.679328\pi\)
\(62\) −136.730 295.537i −0.280076 0.605374i
\(63\) 356.191 387.640i 0.712314 0.775208i
\(64\) −168.623 56.8157i −0.329342 0.110968i
\(65\) 423.884 + 1063.87i 0.808867 + 2.03010i
\(66\) −388.276 + 699.083i −0.724143 + 1.30381i
\(67\) −171.940 28.1882i −0.313520 0.0513991i 0.00296748 0.999996i \(-0.499055\pi\)
−0.316488 + 0.948597i \(0.602504\pi\)
\(68\) −271.772 230.845i −0.484665 0.411678i
\(69\) −188.514 + 16.7907i −0.328904 + 0.0292952i
\(70\) −259.073 1176.98i −0.442359 2.00966i
\(71\) −265.508 787.999i −0.443803 1.31716i −0.903311 0.428986i \(-0.858871\pi\)
0.459509 0.888173i \(-0.348025\pi\)
\(72\) −433.627 + 30.1152i −0.709769 + 0.0492932i
\(73\) 140.842 + 234.081i 0.225812 + 0.375303i 0.948963 0.315387i \(-0.102134\pi\)
−0.723151 + 0.690690i \(0.757307\pi\)
\(74\) −3.17793 29.2205i −0.00499225 0.0459030i
\(75\) 279.800 + 1089.73i 0.430780 + 1.67776i
\(76\) 226.134 333.522i 0.341307 0.503390i
\(77\) 651.324 + 616.967i 0.963965 + 0.913116i
\(78\) −20.9957 + 1076.77i −0.0304781 + 1.56308i
\(79\) 188.717 + 87.3100i 0.268764 + 0.124344i 0.549643 0.835400i \(-0.314764\pi\)
−0.280879 + 0.959743i \(0.590626\pi\)
\(80\) −755.905 + 1256.32i −1.05641 + 1.75577i
\(81\) −652.031 + 326.033i −0.894418 + 0.447233i
\(82\) 532.519 + 562.174i 0.717158 + 0.757094i
\(83\) 196.501 + 707.734i 0.259865 + 0.935950i 0.972208 + 0.234118i \(0.0752204\pi\)
−0.712343 + 0.701832i \(0.752366\pi\)
\(84\) 58.4324 317.518i 0.0758988 0.412429i
\(85\) 1646.25 1251.45i 2.10072 1.59692i
\(86\) 28.7947 + 7.99480i 0.0361048 + 0.0100244i
\(87\) −200.715 141.877i −0.247343 0.174837i
\(88\) −40.1039 739.673i −0.0485806 0.896016i
\(89\) −56.5030 1042.14i −0.0672956 1.24119i −0.815906 0.578184i \(-0.803762\pi\)
0.748611 0.663010i \(-0.230721\pi\)
\(90\) −244.976 + 1650.80i −0.286919 + 1.93343i
\(91\) 1164.21 + 323.241i 1.34113 + 0.372362i
\(92\) −92.4009 + 70.2414i −0.104712 + 0.0795997i
\(93\) 497.540 + 91.5617i 0.554758 + 0.102091i
\(94\) −487.227 1754.83i −0.534613 1.92550i
\(95\) 1607.05 + 1696.55i 1.73558 + 1.83223i
\(96\) −573.193 + 418.353i −0.609388 + 0.444770i
\(97\) −780.352 + 1296.96i −0.816833 + 1.35759i 0.114502 + 0.993423i \(0.463473\pi\)
−0.931335 + 0.364164i \(0.881355\pi\)
\(98\) −112.800 52.1870i −0.116271 0.0537927i
\(99\) −538.696 1119.48i −0.546879 1.13649i
\(100\) 500.923 + 474.500i 0.500923 + 0.474500i
\(101\) −37.5219 + 55.3407i −0.0369661 + 0.0545209i −0.845723 0.533622i \(-0.820830\pi\)
0.808757 + 0.588143i \(0.200141\pi\)
\(102\) 1883.61 483.635i 1.82848 0.469481i
\(103\) 5.71117 + 52.5133i 0.00546348 + 0.0502358i 0.996552 0.0829666i \(-0.0264395\pi\)
−0.991089 + 0.133202i \(0.957474\pi\)
\(104\) −514.334 854.829i −0.484948 0.805989i
\(105\) 1725.48 + 726.785i 1.60371 + 0.675495i
\(106\) −402.203 1193.70i −0.368542 1.09379i
\(107\) −207.955 944.749i −0.187886 0.853574i −0.972374 0.233430i \(-0.925005\pi\)
0.784488 0.620144i \(-0.212926\pi\)
\(108\) −232.146 + 382.080i −0.206835 + 0.340423i
\(109\) 45.2877 + 38.4677i 0.0397961 + 0.0338031i 0.667064 0.745001i \(-0.267551\pi\)
−0.627268 + 0.778804i \(0.715827\pi\)
\(110\) −2806.60 460.118i −2.43272 0.398823i
\(111\) 39.9200 + 22.1718i 0.0341355 + 0.0189591i
\(112\) 572.573 + 1437.05i 0.483063 + 1.21240i
\(113\) −1365.56 460.111i −1.13682 0.383040i −0.312925 0.949778i \(-0.601309\pi\)
−0.823898 + 0.566738i \(0.808205\pi\)
\(114\) 773.471 + 2057.02i 0.635458 + 1.68997i
\(115\) −282.632 610.899i −0.229179 0.495362i
\(116\) −150.519 8.16088i −0.120477 0.00653206i
\(117\) −1347.20 992.228i −1.06452 0.784030i
\(118\) 1502.46 200.259i 1.17214 0.156232i
\(119\) 2181.75i 1.68068i
\(120\) −621.641 1415.43i −0.472898 1.07675i
\(121\) 713.527 330.113i 0.536083 0.248019i
\(122\) 167.973 1544.49i 0.124652 1.14616i
\(123\) −1190.73 + 171.444i −0.872881 + 0.125680i
\(124\) 288.216 114.836i 0.208731 0.0831658i
\(125\) −1399.92 + 949.168i −1.00170 + 0.679169i
\(126\) 1230.12 + 1259.78i 0.869745 + 0.890713i
\(127\) 699.397 823.394i 0.488673 0.575311i −0.461458 0.887162i \(-0.652673\pi\)
0.950131 + 0.311852i \(0.100949\pi\)
\(128\) 624.674 1567.81i 0.431359 1.08263i
\(129\) −35.9640 + 29.3606i −0.0245462 + 0.0200392i
\(130\) −3629.80 + 1223.02i −2.44888 + 0.825124i
\(131\) 1030.03 + 1212.64i 0.686976 + 0.808771i 0.989525 0.144363i \(-0.0461134\pi\)
−0.302549 + 0.953134i \(0.597838\pi\)
\(132\) −645.056 405.452i −0.425340 0.267349i
\(133\) 2451.05 266.568i 1.59799 0.173792i
\(134\) 125.276 569.132i 0.0807624 0.366907i
\(135\) −1874.57 1791.13i −1.19509 1.14190i
\(136\) −1238.85 + 1307.84i −0.781106 + 0.824603i
\(137\) 1744.40 + 924.823i 1.08784 + 0.576737i 0.913041 0.407867i \(-0.133727\pi\)
0.174800 + 0.984604i \(0.444072\pi\)
\(138\) −21.9414 632.628i −0.0135346 0.390238i
\(139\) −1608.95 968.074i −0.981795 0.590727i −0.0683384 0.997662i \(-0.521770\pi\)
−0.913457 + 0.406936i \(0.866597\pi\)
\(140\) 1133.10 185.763i 0.684032 0.112141i
\(141\) 2663.16 + 955.530i 1.59063 + 0.570710i
\(142\) 2679.79 744.040i 1.58368 0.439707i
\(143\) 1725.58 2269.96i 1.00909 1.32744i
\(144\) −32.5011 2141.89i −0.0188085 1.23952i
\(145\) 233.868 842.318i 0.133943 0.482419i
\(146\) −807.273 + 427.989i −0.457606 + 0.242607i
\(147\) 167.360 96.3039i 0.0939021 0.0540341i
\(148\) 27.9634 1.51613i 0.0155309 0.000842061i
\(149\) −184.771 348.515i −0.101591 0.191621i 0.827506 0.561456i \(-0.189759\pi\)
−0.929097 + 0.369836i \(0.879414\pi\)
\(150\) −3690.10 + 737.135i −2.00863 + 0.401246i
\(151\) −358.632 471.772i −0.193278 0.254253i 0.689238 0.724535i \(-0.257945\pi\)
−0.882516 + 0.470282i \(0.844152\pi\)
\(152\) −1620.63 1231.97i −0.864804 0.657407i
\(153\) −1075.57 + 2823.31i −0.568329 + 1.49184i
\(154\) −2178.45 + 2063.54i −1.13990 + 1.07977i
\(155\) 291.084 + 1775.53i 0.150841 + 0.920092i
\(156\) −1023.32 75.5161i −0.525200 0.0387572i
\(157\) −496.555 + 1073.29i −0.252417 + 0.545590i −0.991816 0.127678i \(-0.959248\pi\)
0.739399 + 0.673268i \(0.235110\pi\)
\(158\) −325.765 + 614.457i −0.164028 + 0.309390i
\(159\) 1875.04 + 560.196i 0.935222 + 0.279412i
\(160\) −2088.93 1416.33i −1.03215 0.699818i
\(161\) −693.564 152.665i −0.339506 0.0747310i
\(162\) −970.797 2236.65i −0.470821 1.08474i
\(163\) −2934.78 + 1765.80i −1.41025 + 0.848516i −0.998040 0.0625749i \(-0.980069\pi\)
−0.412205 + 0.911091i \(0.635241\pi\)
\(164\) −562.301 + 477.623i −0.267734 + 0.227415i
\(165\) 3100.53 3147.94i 1.46289 1.48525i
\(166\) −2399.23 + 528.110i −1.12178 + 0.246923i
\(167\) −1620.97 645.852i −0.751103 0.299267i −0.0370073 0.999315i \(-0.511782\pi\)
−0.714096 + 0.700048i \(0.753162\pi\)
\(168\) −1585.76 381.610i −0.728239 0.175249i
\(169\) 265.831 1621.50i 0.120997 0.738051i
\(170\) 3881.41 + 5724.65i 1.75112 + 2.58271i
\(171\) −3303.21 863.371i −1.47721 0.386103i
\(172\) −9.09125 + 26.9819i −0.00403024 + 0.0119613i
\(173\) −176.948 19.2443i −0.0777637 0.00845731i 0.0691545 0.997606i \(-0.477970\pi\)
−0.146918 + 0.989149i \(0.546935\pi\)
\(174\) 510.178 644.644i 0.222279 0.280864i
\(175\) −228.557 + 4215.49i −0.0987275 + 1.82092i
\(176\) 3650.60 1.56349
\(177\) −1093.28 + 2085.66i −0.464269 + 0.885694i
\(178\) 3490.70 1.46988
\(179\) −77.7757 + 1434.49i −0.0324761 + 0.598987i 0.936323 + 0.351140i \(0.114206\pi\)
−0.968799 + 0.247847i \(0.920277\pi\)
\(180\) −1557.87 318.212i −0.645095 0.131767i
\(181\) 3485.50 + 379.071i 1.43135 + 0.155669i 0.790720 0.612178i \(-0.209706\pi\)
0.640633 + 0.767847i \(0.278672\pi\)
\(182\) −1290.35 + 3829.63i −0.525534 + 1.55973i
\(183\) 1808.76 + 1598.12i 0.730643 + 0.645552i
\(184\) 329.065 + 485.335i 0.131842 + 0.194453i
\(185\) −26.2743 + 160.266i −0.0104418 + 0.0636919i
\(186\) −395.885 + 1645.08i −0.156063 + 0.648510i
\(187\) −4783.07 1905.75i −1.87044 0.745253i
\(188\) 1694.62 373.014i 0.657409 0.144707i
\(189\) −2701.30 + 430.872i −1.03963 + 0.165827i
\(190\) −5957.02 + 5059.94i −2.27457 + 1.93203i
\(191\) 2338.21 1406.86i 0.885797 0.532966i 0.00155662 0.999999i \(-0.499505\pi\)
0.884240 + 0.467033i \(0.154677\pi\)
\(192\) 503.850 + 775.243i 0.189387 + 0.291398i
\(193\) 1409.93 + 310.350i 0.525851 + 0.115749i 0.469959 0.882688i \(-0.344269\pi\)
0.0558921 + 0.998437i \(0.482200\pi\)
\(194\) −4190.19 2841.02i −1.55071 1.05141i
\(195\) 1703.45 5701.63i 0.625571 2.09386i
\(196\) 55.4674 104.623i 0.0202141 0.0381278i
\(197\) −1817.79 + 3929.08i −0.657422 + 1.42099i 0.235991 + 0.971755i \(0.424167\pi\)
−0.893412 + 0.449238i \(0.851696\pi\)
\(198\) 3836.32 1596.39i 1.37695 0.572984i
\(199\) −420.728 2566.33i −0.149872 0.914181i −0.949519 0.313710i \(-0.898428\pi\)
0.799646 0.600471i \(-0.205020\pi\)
\(200\) 2530.66 2397.17i 0.894722 0.847526i
\(201\) 609.680 + 669.297i 0.213948 + 0.234869i
\(202\) −178.029 135.334i −0.0620104 0.0471391i
\(203\) −558.157 734.242i −0.192980 0.253861i
\(204\) 362.955 + 1816.95i 0.124568 + 0.623588i
\(205\) −2004.11 3780.14i −0.682794 1.28789i
\(206\) −176.415 + 9.56494i −0.0596671 + 0.00323505i
\(207\) 822.250 + 539.472i 0.276088 + 0.181140i
\(208\) 4343.80 2302.94i 1.44802 0.767693i
\(209\) 1556.58 5606.30i 0.515172 1.85548i
\(210\) −2739.71 + 5631.05i −0.900277 + 1.85038i
\(211\) −1682.82 + 2213.71i −0.549053 + 0.722267i −0.983996 0.178191i \(-0.942975\pi\)
0.434943 + 0.900458i \(0.356768\pi\)
\(212\) 1156.39 321.070i 0.374628 0.104015i
\(213\) −1459.18 + 4066.89i −0.469396 + 1.30826i
\(214\) 3192.87 523.445i 1.01991 0.167205i
\(215\) −141.483 85.1277i −0.0448795 0.0270031i
\(216\) 1863.94 + 1275.58i 0.587152 + 0.401815i
\(217\) 1677.16 + 889.174i 0.524668 + 0.278161i
\(218\) −136.673 + 144.284i −0.0424617 + 0.0448262i
\(219\) 180.959 1407.93i 0.0558359 0.434426i
\(220\) 582.510 2646.37i 0.178513 0.810992i
\(221\) −6893.55 + 749.719i −2.09824 + 0.228197i
\(222\) −81.2767 + 129.308i −0.0245718 + 0.0390926i
\(223\) 1408.98 + 1658.78i 0.423105 + 0.498117i 0.931872 0.362787i \(-0.118175\pi\)
−0.508768 + 0.860904i \(0.669899\pi\)
\(224\) −2523.37 + 850.222i −0.752677 + 0.253606i
\(225\) 2373.93 5342.41i 0.703386 1.58294i
\(226\) 1783.92 4477.30i 0.525064 1.31781i
\(227\) −3476.25 + 4092.55i −1.01642 + 1.19662i −0.0360672 + 0.999349i \(0.511483\pi\)
−0.980349 + 0.197269i \(0.936793\pi\)
\(228\) −1996.87 + 629.750i −0.580026 + 0.182922i
\(229\) 4236.60 2872.49i 1.22254 0.828905i 0.232907 0.972499i \(-0.425176\pi\)
0.989637 + 0.143594i \(0.0458660\pi\)
\(230\) 2091.42 833.299i 0.599584 0.238896i
\(231\) −664.354 4614.13i −0.189226 1.31423i
\(232\) −82.3363 + 757.070i −0.0233002 + 0.214242i
\(233\) 5634.72 2606.90i 1.58430 0.732977i 0.587229 0.809421i \(-0.300219\pi\)
0.997074 + 0.0764441i \(0.0243567\pi\)
\(234\) 3557.73 4319.63i 0.993914 1.20677i
\(235\) 10062.8i 2.79331i
\(236\) 113.020 + 1439.72i 0.0311737 + 0.397110i
\(237\) −487.393 964.290i −0.133585 0.264293i
\(238\) 7286.49 + 395.062i 1.98451 + 0.107597i
\(239\) 2333.91 + 5044.66i 0.631665 + 1.36532i 0.913886 + 0.405971i \(0.133067\pi\)
−0.282221 + 0.959349i \(0.591071\pi\)
\(240\) 7131.13 2681.42i 1.91797 0.721188i
\(241\) −4366.19 1471.14i −1.16702 0.393214i −0.331915 0.943309i \(-0.607695\pi\)
−0.835102 + 0.550095i \(0.814591\pi\)
\(242\) 973.288 + 2442.77i 0.258535 + 0.648873i
\(243\) 3708.05 + 774.123i 0.978895 + 0.204362i
\(244\) 1460.71 + 239.472i 0.383248 + 0.0628303i
\(245\) 523.401 + 444.581i 0.136485 + 0.115932i
\(246\) −356.968 4007.77i −0.0925180 1.03872i
\(247\) −1684.51 7652.83i −0.433940 1.97141i
\(248\) −500.468 1485.34i −0.128144 0.380318i
\(249\) 1481.52 3517.33i 0.377059 0.895187i
\(250\) −2916.48 4847.23i −0.737818 1.22626i
\(251\) 215.895 + 1985.12i 0.0542914 + 0.499201i 0.989440 + 0.144945i \(0.0463005\pi\)
−0.935148 + 0.354256i \(0.884734\pi\)
\(252\) −1261.96 + 1105.31i −0.315460 + 0.276302i
\(253\) −940.513 + 1387.15i −0.233714 + 0.344702i
\(254\) 2623.28 + 2484.90i 0.648028 + 0.613845i
\(255\) −10743.1 209.478i −2.63828 0.0514432i
\(256\) 3831.05 + 1772.43i 0.935314 + 0.432722i
\(257\) −748.698 + 1244.35i −0.181722 + 0.302024i −0.934306 0.356472i \(-0.883980\pi\)
0.752584 + 0.658496i \(0.228807\pi\)
\(258\) −91.5445 125.427i −0.0220904 0.0302665i
\(259\) 117.835 + 124.397i 0.0282699 + 0.0298441i
\(260\) −976.311 3516.35i −0.232878 0.838750i
\(261\) 360.317 + 1225.31i 0.0854524 + 0.290594i
\(262\) −4236.42 + 3220.44i −0.998958 + 0.759388i
\(263\) 6969.42 + 1935.05i 1.63404 + 0.453689i 0.958841 0.283945i \(-0.0916432\pi\)
0.675201 + 0.737634i \(0.264057\pi\)
\(264\) −2221.76 + 3143.14i −0.517954 + 0.732753i
\(265\) 376.802 + 6949.71i 0.0873463 + 1.61101i
\(266\) 446.442 + 8234.14i 0.102906 + 1.89800i
\(267\) −3130.28 + 4428.42i −0.717490 + 1.01504i
\(268\) 534.991 + 148.540i 0.121940 + 0.0338563i
\(269\) 2730.95 2076.01i 0.618992 0.470546i −0.248072 0.968742i \(-0.579797\pi\)
0.867064 + 0.498196i \(0.166004\pi\)
\(270\) 6321.35 5936.26i 1.42483 1.33803i
\(271\) −1386.77 4994.71i −0.310850 1.11958i −0.939684 0.342043i \(-0.888881\pi\)
0.628834 0.777540i \(-0.283533\pi\)
\(272\) −6105.27 6445.26i −1.36098 1.43677i
\(273\) −3701.28 5071.20i −0.820555 1.12426i
\(274\) −3404.54 + 5658.38i −0.750641 + 1.24757i
\(275\) 9042.01 + 4183.28i 1.98274 + 0.917313i
\(276\) 602.992 + 11.7576i 0.131507 + 0.00256422i
\(277\) −2378.79 2253.31i −0.515984 0.488766i 0.384820 0.922991i \(-0.374263\pi\)
−0.900804 + 0.434226i \(0.857022\pi\)
\(278\) 3524.46 5198.19i 0.760371 1.12146i
\(279\) −1731.99 1977.45i −0.371654 0.424326i
\(280\) −627.180 5766.82i −0.133861 1.23083i
\(281\) −456.952 759.460i −0.0970087 0.161230i 0.804552 0.593882i \(-0.202405\pi\)
−0.901561 + 0.432652i \(0.857578\pi\)
\(282\) −3673.45 + 8721.25i −0.775713 + 1.84164i
\(283\) 1404.40 + 4168.12i 0.294994 + 0.875510i 0.987983 + 0.154562i \(0.0493967\pi\)
−0.692989 + 0.720948i \(0.743707\pi\)
\(284\) 569.627 + 2587.84i 0.119018 + 0.540704i
\(285\) −1077.27 12094.8i −0.223901 2.51380i
\(286\) 7268.61 + 6174.01i 1.50280 + 1.27649i
\(287\) −4454.62 730.298i −0.916195 0.150203i
\(288\) 3684.52 + 143.742i 0.753863 + 0.0294100i
\(289\) 2816.07 + 7067.81i 0.573188 + 1.43859i
\(290\) 2770.78 + 933.583i 0.561053 + 0.189041i
\(291\) 7361.76 2768.14i 1.48300 0.557634i
\(292\) −365.534 790.089i −0.0732577 0.158344i
\(293\) −1743.87 94.5499i −0.347706 0.0188521i −0.120541 0.992708i \(-0.538463\pi\)
−0.227165 + 0.973856i \(0.572946\pi\)
\(294\) 291.325 + 576.377i 0.0577906 + 0.114337i
\(295\) −8295.06 1154.75i −1.63714 0.227906i
\(296\) 141.478i 0.0277812i
\(297\) −1414.97 + 6298.45i −0.276448 + 1.23055i
\(298\) 1197.41 553.980i 0.232765 0.107689i
\(299\) −244.036 + 2243.87i −0.0472005 + 0.434001i
\(300\) −510.945 3548.65i −0.0983313 0.682939i
\(301\) −161.836 + 64.4815i −0.0309903 + 0.0123477i
\(302\) 1640.54 1112.31i 0.312590 0.211941i
\(303\) 331.337 104.493i 0.0628212 0.0198118i
\(304\) 6494.86 7646.34i 1.22535 1.44259i
\(305\) −3177.33 + 7974.49i −0.596502 + 1.49711i
\(306\) −9234.37 4103.35i −1.72514 0.766577i
\(307\) −5713.45 + 1925.09i −1.06216 + 0.357884i −0.795530 0.605914i \(-0.792808\pi\)
−0.266633 + 0.963798i \(0.585911\pi\)
\(308\) −1850.81 2178.94i −0.342402 0.403106i
\(309\) 146.065 232.383i 0.0268912 0.0427826i
\(310\) −5982.53 + 650.639i −1.09608 + 0.119206i
\(311\) 1177.44 5349.16i 0.214683 0.975315i −0.738813 0.673910i \(-0.764613\pi\)
0.953496 0.301405i \(-0.0974556\pi\)
\(312\) −660.834 + 5141.56i −0.119911 + 0.932960i
\(313\) 3786.20 3997.04i 0.683734 0.721809i −0.288068 0.957610i \(-0.593013\pi\)
0.971801 + 0.235801i \(0.0757714\pi\)
\(314\) −3494.59 1852.71i −0.628060 0.332976i
\(315\) −4686.91 8525.33i −0.838341 1.52491i
\(316\) −567.771 341.616i −0.101075 0.0608146i
\(317\) 8126.80 1332.32i 1.43989 0.236059i 0.609302 0.792939i \(-0.291450\pi\)
0.830593 + 0.556880i \(0.188002\pi\)
\(318\) −2210.43 + 6160.71i −0.389795 + 1.08640i
\(319\) −2097.23 + 582.294i −0.368095 + 0.102201i
\(320\) −1990.02 + 2617.82i −0.347642 + 0.457315i
\(321\) −2199.14 + 4519.99i −0.382380 + 0.785922i
\(322\) 635.449 2288.68i 0.109976 0.396097i
\(323\) −12501.4 + 6627.80i −2.15354 + 1.14174i
\(324\) 2177.95 808.214i 0.373448 0.138583i
\(325\) 13398.0 726.416i 2.28672 0.123983i
\(326\) −5365.90 10121.2i −0.911625 1.71951i
\(327\) −60.4823 302.774i −0.0102284 0.0512031i
\(328\) 2255.61 + 2967.20i 0.379711 + 0.499501i
\(329\) 8451.98 + 6425.03i 1.41633 + 1.07667i
\(330\) 9951.86 + 10925.0i 1.66010 + 1.82243i
\(331\) −1052.49 + 996.969i −0.174773 + 0.165554i −0.770086 0.637940i \(-0.779787\pi\)
0.595313 + 0.803494i \(0.297028\pi\)
\(332\) −378.670 2309.79i −0.0625970 0.381825i
\(333\) −91.1594 219.067i −0.0150015 0.0360504i
\(334\) 2450.50 5296.66i 0.401453 0.867726i
\(335\) −1508.24 + 2844.85i −0.245983 + 0.463972i
\(336\) 2300.98 7701.64i 0.373597 1.25047i
\(337\) 2176.01 + 1475.37i 0.351735 + 0.238482i 0.724240 0.689548i \(-0.242191\pi\)
−0.372505 + 0.928030i \(0.621501\pi\)
\(338\) 5367.25 + 1181.42i 0.863728 + 0.190121i
\(339\) 4080.33 + 6278.15i 0.653726 + 1.00585i
\(340\) −5646.45 + 3397.36i −0.900652 + 0.541904i
\(341\) 3414.33 2900.16i 0.542218 0.460564i
\(342\) 3481.57 10875.5i 0.550472 1.71954i
\(343\) −5823.76 + 1281.91i −0.916773 + 0.201797i
\(344\) 133.626 + 53.2413i 0.0209436 + 0.00834470i
\(345\) −818.327 + 3400.51i −0.127702 + 0.530659i
\(346\) 96.3118 587.476i 0.0149646 0.0912801i
\(347\) 85.6592 + 126.338i 0.0132520 + 0.0195452i 0.834257 0.551375i \(-0.185897\pi\)
−0.821005 + 0.570921i \(0.806586\pi\)
\(348\) 586.977 + 518.617i 0.0904174 + 0.0798874i
\(349\) −2014.30 + 5978.22i −0.308948 + 0.916925i 0.674899 + 0.737911i \(0.264187\pi\)
−0.983846 + 0.179014i \(0.942709\pi\)
\(350\) −14037.3 1526.64i −2.14378 0.233150i
\(351\) 2289.65 + 8387.08i 0.348184 + 1.27541i
\(352\) −340.202 + 6274.66i −0.0515138 + 0.950115i
\(353\) −1429.73 −0.215572 −0.107786 0.994174i \(-0.534376\pi\)
−0.107786 + 0.994174i \(0.534376\pi\)
\(354\) −6767.60 4028.92i −1.01608 0.604900i
\(355\) −15366.9 −2.29743
\(356\) −180.056 + 3320.93i −0.0268060 + 0.494407i
\(357\) −7035.33 + 8889.62i −1.04300 + 1.31790i
\(358\) −4776.73 519.501i −0.705191 0.0766941i
\(359\) 4253.38 12623.6i 0.625306 1.85584i 0.120272 0.992741i \(-0.461623\pi\)
0.505033 0.863100i \(-0.331480\pi\)
\(360\) −2031.34 + 7771.78i −0.297391 + 1.13780i
\(361\) −5124.12 7557.51i −0.747065 1.10184i
\(362\) −1897.14 + 11572.0i −0.275445 + 1.68014i
\(363\) −3971.78 955.801i −0.574282 0.138200i
\(364\) −3576.82 1425.14i −0.515045 0.205213i
\(365\) 4930.53 1085.29i 0.707056 0.155635i
\(366\) −5664.81 + 5751.42i −0.809029 + 0.821398i
\(367\) −293.709 + 249.479i −0.0417752 + 0.0354841i −0.668031 0.744134i \(-0.732863\pi\)
0.626256 + 0.779618i \(0.284587\pi\)
\(368\) −2476.11 + 1489.82i −0.350750 + 0.211039i
\(369\) 5404.50 + 3141.10i 0.762459 + 0.443141i
\(370\) −530.490 116.770i −0.0745374 0.0164069i
\(371\) 6077.78 + 4120.84i 0.850519 + 0.576666i
\(372\) −1544.65 461.487i −0.215286 0.0643198i
\(373\) 1683.69 3175.78i 0.233722 0.440847i −0.738713 0.674020i \(-0.764566\pi\)
0.972435 + 0.233173i \(0.0749109\pi\)
\(374\) 7230.81 15629.1i 0.999723 2.16087i
\(375\) 8764.72 + 646.794i 1.20695 + 0.0890675i
\(376\) −1418.20 8650.66i −0.194517 1.18650i
\(377\) −2128.14 + 2015.88i −0.290729 + 0.275393i
\(378\) −949.860 9099.67i −0.129247 1.23819i
\(379\) −479.103 364.205i −0.0649338 0.0493614i 0.572204 0.820111i \(-0.306089\pi\)
−0.637138 + 0.770750i \(0.719882\pi\)
\(380\) −4506.58 5928.31i −0.608376 0.800304i
\(381\) −5504.85 + 1099.65i −0.740216 + 0.147866i
\(382\) 4275.14 + 8063.77i 0.572605 + 1.08005i
\(383\) −5955.91 + 322.920i −0.794603 + 0.0430821i −0.446971 0.894549i \(-0.647497\pi\)
−0.347633 + 0.937631i \(0.613014\pi\)
\(384\) −7600.87 + 4373.77i −1.01010 + 0.581245i
\(385\) 14648.2 7766.00i 1.93907 1.02803i
\(386\) −1291.79 + 4652.62i −0.170338 + 0.613502i
\(387\) 241.213 3.66017i 0.0316836 0.000480767i
\(388\) 2918.99 3839.86i 0.381931 0.502421i
\(389\) −11872.9 + 3296.49i −1.54750 + 0.429662i −0.933185 0.359396i \(-0.882983\pi\)
−0.614318 + 0.789059i \(0.710569\pi\)
\(390\) 18733.5 + 6721.50i 2.43233 + 0.872708i
\(391\) 4021.99 659.371i 0.520206 0.0852835i
\(392\) −512.606 308.425i −0.0660472 0.0397393i
\(393\) −286.565 8262.39i −0.0367819 1.06052i
\(394\) −12793.0 6782.40i −1.63579 0.867240i
\(395\) 2642.64 2789.80i 0.336621 0.355367i
\(396\) 1320.87 + 3732.09i 0.167617 + 0.473597i
\(397\) 2138.52 9715.42i 0.270351 1.22822i −0.624204 0.781261i \(-0.714577\pi\)
0.894555 0.446957i \(-0.147492\pi\)
\(398\) 8647.05 940.423i 1.08904 0.118440i
\(399\) −10846.5 6817.58i −1.36091 0.855403i
\(400\) 11121.1 + 13092.8i 1.39014 + 1.63660i
\(401\) 3521.85 1186.65i 0.438586 0.147777i −0.0913420 0.995820i \(-0.529116\pi\)
0.529928 + 0.848043i \(0.322219\pi\)
\(402\) −2345.68 + 1914.98i −0.291024 + 0.237589i
\(403\) 2233.14 5604.76i 0.276031 0.692787i
\(404\) 137.936 162.390i 0.0169865 0.0199981i
\(405\) 1862.29 + 13342.8i 0.228488 + 1.63706i
\(406\) 2553.25 1731.14i 0.312107 0.211614i
\(407\) 375.644 149.670i 0.0457493 0.0182282i
\(408\) 9265.01 1334.00i 1.12423 0.161870i
\(409\) −1414.37 + 13004.9i −0.170993 + 1.57226i 0.523037 + 0.852310i \(0.324799\pi\)
−0.694030 + 0.719946i \(0.744166\pi\)
\(410\) 12987.6 6008.70i 1.56442 0.723777i
\(411\) −4125.41 9393.26i −0.495113 1.12734i
\(412\) 168.329i 0.0201285i
\(413\) −6266.22 + 6229.88i −0.746587 + 0.742258i
\(414\) −1950.59 + 2648.41i −0.231561 + 0.314402i
\(415\) 13554.0 + 734.877i 1.60323 + 0.0869245i
\(416\) 3553.50 + 7680.76i 0.418809 + 0.905241i
\(417\) 3434.05 + 9132.71i 0.403276 + 1.07250i
\(418\) 18441.7 + 6213.74i 2.15793 + 0.727091i
\(419\) −2169.84 5445.88i −0.252991 0.634961i 0.746547 0.665332i \(-0.231710\pi\)
−0.999539 + 0.0303718i \(0.990331\pi\)
\(420\) −5215.87 2896.93i −0.605972 0.336561i
\(421\) −4287.29 702.866i −0.496318 0.0813672i −0.0915759 0.995798i \(-0.529190\pi\)
−0.404742 + 0.914431i \(0.632639\pi\)
\(422\) −7088.51 6021.03i −0.817685 0.694548i
\(423\) −7769.91 12481.0i −0.893111 1.43463i
\(424\) −1303.38 5921.31i −0.149287 0.678217i
\(425\) −7736.16 22960.1i −0.882962 2.62054i
\(426\) −13318.1 5609.70i −1.51471 0.638007i
\(427\) 4669.24 + 7760.33i 0.529181 + 0.879505i
\(428\) 333.294 + 3064.59i 0.0376411 + 0.346104i
\(429\) −14350.7 + 3684.68i −1.61505 + 0.414680i
\(430\) 309.924 457.103i 0.0347578 0.0512639i
\(431\) −9804.52 9287.34i −1.09575 1.03795i −0.999091 0.0426297i \(-0.986426\pi\)
−0.0966569 0.995318i \(-0.530815\pi\)
\(432\) −6774.37 + 8832.01i −0.754472 + 0.983635i
\(433\) −13324.1 6164.39i −1.47879 0.684161i −0.495903 0.868378i \(-0.665163\pi\)
−0.982886 + 0.184217i \(0.941025\pi\)
\(434\) −3273.30 + 5440.27i −0.362036 + 0.601708i
\(435\) −3669.06 + 2677.91i −0.404409 + 0.295163i
\(436\) −130.217 137.468i −0.0143033 0.0150998i
\(437\) 1232.17 + 4437.86i 0.134880 + 0.485793i
\(438\) 4669.36 + 859.297i 0.509386 + 0.0937416i
\(439\) −6148.70 + 4674.12i −0.668477 + 0.508163i −0.883491 0.468448i \(-0.844813\pi\)
0.215014 + 0.976611i \(0.431020\pi\)
\(440\) −13190.5 3662.32i −1.42916 0.396805i
\(441\) −992.457 147.279i −0.107165 0.0159032i
\(442\) −1255.61 23158.4i −0.135121 2.49216i
\(443\) −583.782 10767.2i −0.0626102 1.15478i −0.845978 0.533218i \(-0.820983\pi\)
0.783368 0.621558i \(-0.213500\pi\)
\(444\) −118.826 83.9938i −0.0127010 0.00897786i
\(445\) −18584.3 5159.90i −1.97973 0.549669i
\(446\) −5795.03 + 4405.27i −0.615252 + 0.467703i
\(447\) −370.975 + 2015.85i −0.0392539 + 0.213303i
\(448\) 928.155 + 3342.91i 0.0978821 + 0.352540i
\(449\) −8894.77 9390.10i −0.934901 0.986962i 0.0650399 0.997883i \(-0.479283\pi\)
−0.999940 + 0.0109202i \(0.996524\pi\)
\(450\) 17412.4 + 8895.69i 1.82406 + 0.931882i
\(451\) −5492.13 + 9127.98i −0.573424 + 0.953038i
\(452\) 4167.53 + 1928.11i 0.433682 + 0.200643i
\(453\) −60.0308 + 3078.70i −0.00622626 + 0.319316i
\(454\) −13038.6 12350.8i −1.34787 1.27677i
\(455\) 12530.7 18481.4i 1.29109 1.90422i
\(456\) 2630.66 + 10245.6i 0.270158 + 1.05218i
\(457\) −956.511 8794.98i −0.0979075 0.900244i −0.935351 0.353721i \(-0.884916\pi\)
0.837444 0.546524i \(-0.184049\pi\)
\(458\) 8826.22 + 14669.3i 0.900485 + 1.49662i
\(459\) 13486.5 8035.37i 1.37146 0.817122i
\(460\) 684.893 + 2032.69i 0.0694203 + 0.206032i
\(461\) 549.427 + 2496.07i 0.0555084 + 0.252177i 0.996201 0.0870827i \(-0.0277544\pi\)
−0.940693 + 0.339260i \(0.889823\pi\)
\(462\) 15530.3 1383.27i 1.56393 0.139297i
\(463\) 9468.14 + 8042.31i 0.950371 + 0.807252i 0.981342 0.192268i \(-0.0615843\pi\)
−0.0309717 + 0.999520i \(0.509860\pi\)
\(464\) −3703.54 607.164i −0.370544 0.0607476i
\(465\) 4539.39 8173.10i 0.452708 0.815093i
\(466\) 7686.05 + 19290.5i 0.764055 + 1.91763i
\(467\) −2129.70 717.578i −0.211029 0.0711040i 0.211802 0.977313i \(-0.432067\pi\)
−0.422831 + 0.906209i \(0.638963\pi\)
\(468\) 3926.04 + 3607.51i 0.387780 + 0.356319i
\(469\) 1426.45 + 3083.21i 0.140442 + 0.303560i
\(470\) −33607.3 1822.13i −3.29827 0.178827i
\(471\) 5484.18 2771.94i 0.536513 0.271176i
\(472\) 7293.70 176.362i 0.711271 0.0171985i
\(473\) 411.119i 0.0399646i
\(474\) 3308.73 1453.16i 0.320623 0.140814i
\(475\) 24848.9 11496.3i 2.40031 1.11050i
\(476\) −751.697 + 6911.74i −0.0723823 + 0.665545i
\(477\) −5833.49 8328.84i −0.559952 0.799478i
\(478\) −17270.5 + 6881.18i −1.65258 + 0.658447i
\(479\) 2398.92 1626.51i 0.228830 0.155151i −0.441384 0.897318i \(-0.645512\pi\)
0.670214 + 0.742168i \(0.266202\pi\)
\(480\) 3944.28 + 12506.9i 0.375065 + 1.18929i
\(481\) 352.557 415.062i 0.0334204 0.0393455i
\(482\) 5703.84 14315.6i 0.539010 1.35281i
\(483\) 2333.66 + 2858.52i 0.219845 + 0.269290i
\(484\) −2374.17 + 799.952i −0.222969 + 0.0751269i
\(485\) 18108.8 + 21319.3i 1.69542 + 1.99600i
\(486\) −3256.81 + 12243.8i −0.303975 + 1.14277i
\(487\) 4352.09 473.318i 0.404952 0.0440412i 0.0966234 0.995321i \(-0.469196\pi\)
0.308329 + 0.951280i \(0.400230\pi\)
\(488\) 1607.55 7303.17i 0.149120 0.677457i
\(489\) 17651.9 + 2268.76i 1.63241 + 0.209810i
\(490\) −1579.56 + 1667.52i −0.145627 + 0.153737i
\(491\) 5353.47 + 2838.23i 0.492054 + 0.260871i 0.695908 0.718131i \(-0.255002\pi\)
−0.203854 + 0.979001i \(0.565347\pi\)
\(492\) 3831.27 132.880i 0.351071 0.0121762i
\(493\) 4535.48 + 2728.91i 0.414336 + 0.249298i
\(494\) 25863.5 4240.10i 2.35557 0.386177i
\(495\) −22784.1 + 2828.32i −2.06883 + 0.256815i
\(496\) 7442.80 2066.48i 0.673774 0.187072i
\(497\) −9811.60 + 12906.9i −0.885534 + 1.16490i
\(498\) 11478.7 + 5584.81i 1.03288 + 0.502533i
\(499\) 3450.84 12428.8i 0.309581 1.11501i −0.631096 0.775705i \(-0.717395\pi\)
0.940677 0.339304i \(-0.110192\pi\)
\(500\) 4761.93 2524.62i 0.425920 0.225808i
\(501\) 4522.05 + 7858.55i 0.403254 + 0.700787i
\(502\) −6668.87 + 361.576i −0.592921 + 0.0321472i
\(503\) 7132.32 + 13453.0i 0.632235 + 1.19252i 0.968089 + 0.250608i \(0.0806304\pi\)
−0.335854 + 0.941914i \(0.609025\pi\)
\(504\) 5230.68 + 6668.36i 0.462288 + 0.589350i
\(505\) 747.769 + 983.674i 0.0658917 + 0.0866790i
\(506\) −4462.43 3392.25i −0.392054 0.298031i
\(507\) −6311.86 + 5749.64i −0.552899 + 0.503650i
\(508\) −2499.36 + 2367.52i −0.218290 + 0.206775i
\(509\) 2355.70 + 14369.1i 0.205136 + 1.25128i 0.865722 + 0.500526i \(0.166860\pi\)
−0.660585 + 0.750751i \(0.729692\pi\)
\(510\) 2644.92 35841.4i 0.229645 3.11193i
\(511\) 2236.54 4834.19i 0.193617 0.418497i
\(512\) −288.985 + 545.083i −0.0249442 + 0.0470498i
\(513\) 10675.0 + 14169.4i 0.918737 + 1.21949i
\(514\) −4020.22 2725.78i −0.344989 0.233908i
\(515\) 953.362 + 209.851i 0.0815731 + 0.0179556i
\(516\) 124.049 80.6226i 0.0105832 0.00687832i
\(517\) 21468.4 12917.1i 1.82627 1.09883i
\(518\) −436.790 + 371.012i −0.0370491 + 0.0314698i
\(519\) 658.925 + 649.002i 0.0557295 + 0.0548902i
\(520\) −18005.5 + 3963.32i −1.51845 + 0.334237i
\(521\) 7732.81 + 3081.03i 0.650251 + 0.259084i 0.671855 0.740683i \(-0.265498\pi\)
−0.0216039 + 0.999767i \(0.506877\pi\)
\(522\) −4157.47 + 981.492i −0.348597 + 0.0822964i
\(523\) −1048.81 + 6397.48i −0.0876891 + 0.534880i 0.906051 + 0.423168i \(0.139082\pi\)
−0.993741 + 0.111712i \(0.964366\pi\)
\(524\) −2845.30 4196.50i −0.237209 0.349857i
\(525\) 14524.6 16439.1i 1.20744 1.36660i
\(526\) −7724.56 + 22925.7i −0.640317 + 1.90039i
\(527\) −10830.5 1177.89i −0.895224 0.0973615i
\(528\) −14874.5 11771.8i −1.22600 0.970268i
\(529\) −586.885 + 10824.5i −0.0482358 + 0.889657i
\(530\) −23278.5 −1.90783
\(531\) 11180.1 4972.68i 0.913697 0.406396i
\(532\) −7856.71 −0.640285
\(533\) −776.730 + 14325.9i −0.0631217 + 1.16421i
\(534\) −14223.0 11256.2i −1.15260 0.912177i
\(535\) −17772.4 1932.87i −1.43620 0.156197i
\(536\) 895.644 2658.18i 0.0721752 0.214208i
\(537\) 4942.58 5594.07i 0.397185 0.449538i
\(538\) 6438.84 + 9496.58i 0.515981 + 0.761016i
\(539\) 276.623 1687.32i 0.0221057 0.134839i
\(540\) 5321.49 + 6320.12i 0.424075 + 0.503657i
\(541\) 13719.7 + 5466.42i 1.09031 + 0.434417i 0.844857 0.534992i \(-0.179686\pi\)
0.245448 + 0.969410i \(0.421065\pi\)
\(542\) 16932.1 3727.04i 1.34188 0.295369i
\(543\) −12979.4 12783.9i −1.02578 1.01033i
\(544\) 11647.1 9893.13i 0.917950 0.779714i
\(545\) 940.916 566.130i 0.0739531 0.0444961i
\(546\) 17606.7 11443.0i 1.38003 0.896918i
\(547\) 17417.6 + 3833.91i 1.36147 + 0.299682i 0.834877 0.550436i \(-0.185539\pi\)
0.526592 + 0.850118i \(0.323470\pi\)
\(548\) −5207.58 3530.83i −0.405943 0.275236i
\(549\) −2216.55 12344.2i −0.172313 0.959628i
\(550\) −15608.3 + 29440.5i −1.21008 + 2.28245i
\(551\) −2511.59 + 5428.72i −0.194188 + 0.419730i
\(552\) 224.236 3038.62i 0.0172901 0.234298i
\(553\) −655.908 4000.86i −0.0504377 0.307656i
\(554\) 7956.20 7536.51i 0.610156 0.577971i
\(555\) 623.853 568.285i 0.0477137 0.0434637i
\(556\) 4763.58 + 3621.18i 0.363347 + 0.276209i
\(557\) 1104.13 + 1452.45i 0.0839916 + 0.110489i 0.836170 0.548471i \(-0.184790\pi\)
−0.752178 + 0.658960i \(0.770997\pi\)
\(558\) 6917.79 5426.33i 0.524827 0.411676i
\(559\) 259.350 + 489.186i 0.0196231 + 0.0370132i
\(560\) 28545.6 1547.70i 2.15406 0.116790i
\(561\) 13343.5 + 23188.7i 1.00421 + 1.74514i
\(562\) 2619.14 1388.58i 0.196587 0.104224i
\(563\) −3752.34 + 13514.7i −0.280892 + 1.01168i 0.679647 + 0.733539i \(0.262133\pi\)
−0.960539 + 0.278144i \(0.910281\pi\)
\(564\) −8107.61 3944.66i −0.605305 0.294503i
\(565\) −16115.8 + 21199.9i −1.19999 + 1.57856i
\(566\) −14174.8 + 3935.60i −1.05267 + 0.292272i
\(567\) 12395.9 + 6955.09i 0.918132 + 0.515143i
\(568\) 13210.3 2165.73i 0.975869 0.159986i
\(569\) −5856.90 3523.98i −0.431518 0.259636i 0.283183 0.959066i \(-0.408610\pi\)
−0.714701 + 0.699430i \(0.753437\pi\)
\(570\) 40588.5 1407.73i 2.98257 0.103444i
\(571\) −14358.8 7612.54i −1.05236 0.557924i −0.149898 0.988701i \(-0.547895\pi\)
−0.902458 + 0.430777i \(0.858239\pi\)
\(572\) −6248.67 + 6596.64i −0.456766 + 0.482202i
\(573\) −14063.7 1807.58i −1.02534 0.131785i
\(574\) 3245.63 14745.0i 0.236010 1.07221i
\(575\) −7840.18 + 852.671i −0.568623 + 0.0618415i
\(576\) 446.913 4783.48i 0.0323287 0.346027i
\(577\) 7677.35 + 9038.47i 0.553921 + 0.652126i 0.965854 0.259088i \(-0.0834221\pi\)
−0.411933 + 0.911214i \(0.635146\pi\)
\(578\) −24114.6 + 8125.15i −1.73535 + 0.584709i
\(579\) −4744.06 5811.04i −0.340512 0.417096i
\(580\) −1031.10 + 2587.87i −0.0738174 + 0.185268i
\(581\) 9271.34 10915.1i 0.662031 0.779403i
\(582\) 7911.85 + 25087.6i 0.563499 + 1.78680i
\(583\) 14343.1 9724.83i 1.01892 0.690843i
\(584\) −4085.64 + 1627.87i −0.289495 + 0.115345i
\(585\) −25326.4 + 17738.5i −1.78994 + 1.25367i
\(586\) 631.544 5806.95i 0.0445202 0.409357i
\(587\) −14105.6 + 6525.93i −0.991822 + 0.458866i −0.847575 0.530676i \(-0.821938\pi\)
−0.144247 + 0.989542i \(0.546076\pi\)
\(588\) −563.372 + 247.427i −0.0395120 + 0.0173532i
\(589\) 12311.2i 0.861247i
\(590\) 5358.61 27494.2i 0.373916 1.91851i
\(591\) 20076.5 10147.5i 1.39735 0.706281i
\(592\) 696.206 + 37.7472i 0.0483343 + 0.00262061i
\(593\) 2201.09 + 4757.59i 0.152425 + 0.329462i 0.968713 0.248184i \(-0.0798337\pi\)
−0.816288 + 0.577645i \(0.803972\pi\)
\(594\) −20779.0 5866.14i −1.43531 0.405203i
\(595\) −38208.9 12874.1i −2.63263 0.887035i
\(596\) 465.274 + 1167.75i 0.0319771 + 0.0802565i
\(597\) −6561.17 + 11813.3i −0.449800 + 0.809857i
\(598\) −7449.76 1221.33i −0.509437 0.0835179i
\(599\) 4821.30 + 4095.25i 0.328870 + 0.279345i 0.796575 0.604540i \(-0.206643\pi\)
−0.467705 + 0.883885i \(0.654919\pi\)
\(600\) −18041.2 + 1606.91i −1.22755 + 0.109336i
\(601\) 2233.48 + 10146.8i 0.151590 + 0.688680i 0.989697 + 0.143175i \(0.0457311\pi\)
−0.838108 + 0.545505i \(0.816338\pi\)
\(602\) −186.047 552.167i −0.0125958 0.0373831i
\(603\) −325.931 4693.06i −0.0220115 0.316942i
\(604\) 973.593 + 1618.12i 0.0655876 + 0.109008i
\(605\) −1570.87 14443.9i −0.105562 0.970623i
\(606\) 288.984 + 1125.50i 0.0193716 + 0.0754462i
\(607\) 2837.21 4184.58i 0.189718 0.279813i −0.720920 0.693018i \(-0.756280\pi\)
0.910638 + 0.413205i \(0.135591\pi\)
\(608\) 12537.3 + 11876.0i 0.836274 + 0.792161i
\(609\) −93.4290 + 4791.54i −0.00621664 + 0.318823i
\(610\) −26057.4 12055.4i −1.72956 0.800180i
\(611\) 17396.4 28913.0i 1.15185 1.91440i
\(612\) 4380.11 8573.61i 0.289306 0.566287i
\(613\) −5576.80 5887.36i −0.367447 0.387909i 0.515884 0.856658i \(-0.327463\pi\)
−0.883331 + 0.468749i \(0.844705\pi\)
\(614\) −5394.72 19430.0i −0.354582 1.27709i
\(615\) −4023.75 + 21864.8i −0.263827 + 1.43362i
\(616\) −11498.0 + 8740.59i −0.752061 + 0.571702i
\(617\) −2489.18 691.117i −0.162416 0.0450945i 0.185369 0.982669i \(-0.440652\pi\)
−0.347784 + 0.937575i \(0.613066\pi\)
\(618\) 749.652 + 529.899i 0.0487952 + 0.0344914i
\(619\) 327.193 + 6034.72i 0.0212455 + 0.391851i 0.989746 + 0.142839i \(0.0456231\pi\)
−0.968500 + 0.249012i \(0.919894\pi\)
\(620\) −310.408 5725.13i −0.0201069 0.370850i
\(621\) −1610.69 4849.54i −0.104082 0.313374i
\(622\) 17651.6 + 4900.94i 1.13789 + 0.315932i
\(623\) −16199.8 + 12314.8i −1.04178 + 0.791943i
\(624\) −25125.1 4623.73i −1.61187 0.296631i
\(625\) 1121.36 + 4038.77i 0.0717670 + 0.258481i
\(626\) 12663.5 + 13368.7i 0.808523 + 0.853547i
\(627\) −24420.6 + 17823.7i −1.55544 + 1.13526i
\(628\) 1942.86 3229.06i 0.123453 0.205181i
\(629\) −892.476 412.903i −0.0565745 0.0261741i
\(630\) 29321.1 14109.3i 1.85425 0.892269i
\(631\) −3124.29 2959.48i −0.197109 0.186712i 0.582779 0.812631i \(-0.301965\pi\)
−0.779888 + 0.625919i \(0.784724\pi\)
\(632\) −1878.60 + 2770.73i −0.118238 + 0.174389i
\(633\) 13995.1 3593.38i 0.878760 0.225630i
\(634\) 2978.04 + 27382.7i 0.186551 + 1.71531i
\(635\) −10293.0 17107.2i −0.643255 1.06910i
\(636\) −5747.07 2420.71i −0.358312 0.150924i
\(637\) −735.280 2182.23i −0.0457345 0.135735i
\(638\) −1564.95 7109.65i −0.0971114 0.441181i
\(639\) 19059.7 11865.4i 1.17995 0.734564i
\(640\) −23770.9 20191.2i −1.46817 1.24708i
\(641\) 505.069 + 82.8019i 0.0311217 + 0.00510215i 0.177323 0.984153i \(-0.443256\pi\)
−0.146201 + 0.989255i \(0.546705\pi\)
\(642\) −14697.4 8163.02i −0.903519 0.501821i
\(643\) 2401.87 + 6028.23i 0.147310 + 0.369720i 0.984053 0.177876i \(-0.0569225\pi\)
−0.836743 + 0.547596i \(0.815543\pi\)
\(644\) 2144.59 + 722.598i 0.131225 + 0.0442148i
\(645\) 301.974 + 803.086i 0.0184344 + 0.0490256i
\(646\) −19871.4 42951.4i −1.21027 2.61595i
\(647\) 15370.3 + 833.353i 0.933954 + 0.0506375i 0.514831 0.857292i \(-0.327855\pi\)
0.419123 + 0.907929i \(0.362337\pi\)
\(648\) −3481.41 11207.9i −0.211053 0.679455i
\(649\) 8184.31 + 19179.2i 0.495011 + 1.16002i
\(650\) 44877.2i 2.70805i
\(651\) −3966.39 9031.17i −0.238794 0.543717i
\(652\) 9905.71 4582.87i 0.594996 0.275274i
\(653\) −2195.71 + 20189.2i −0.131584 + 1.20990i 0.723097 + 0.690746i \(0.242718\pi\)
−0.854681 + 0.519153i \(0.826248\pi\)
\(654\) 1022.14 147.170i 0.0611143 0.00879940i
\(655\) 27314.9 10883.2i 1.62944 0.649227i
\(656\) −15203.3 + 10308.1i −0.904861 + 0.613511i
\(657\) −5277.38 + 5153.14i −0.313379 + 0.306002i
\(658\) −22988.4 + 27064.0i −1.36198 + 1.60344i
\(659\) 1886.54 4734.87i 0.111516 0.279885i −0.862617 0.505857i \(-0.831176\pi\)
0.974134 + 0.225972i \(0.0725557\pi\)
\(660\) −10907.0 + 8904.34i −0.643264 + 0.525153i
\(661\) −2243.75 + 756.006i −0.132030 + 0.0444860i −0.384541 0.923108i \(-0.625640\pi\)
0.252511 + 0.967594i \(0.418744\pi\)
\(662\) −3139.04 3695.56i −0.184293 0.216967i
\(663\) 30505.5 + 19174.3i 1.78693 + 1.12318i
\(664\) −11755.5 + 1278.48i −0.687048 + 0.0747210i
\(665\) 9794.76 44498.0i 0.571165 2.59483i
\(666\) 748.133 264.781i 0.0435279 0.0154055i
\(667\) 1184.86 1250.85i 0.0687828 0.0726131i
\(668\) 4912.66 + 2604.53i 0.284546 + 0.150857i
\(669\) −391.994 11302.2i −0.0226537 0.653166i
\(670\) −9227.95 5552.27i −0.532100 0.320154i
\(671\) 21091.6 3457.79i 1.21346 0.198937i
\(672\) 13023.2 + 4672.66i 0.747590 + 0.268232i
\(673\) 8954.71 2486.26i 0.512896 0.142405i −0.00143129 0.999999i \(-0.500456\pi\)
0.514327 + 0.857594i \(0.328042\pi\)
\(674\) −5321.37 + 7000.15i −0.304112 + 0.400053i
\(675\) −26899.9 + 14112.8i −1.53389 + 0.804742i
\(676\) −1400.82 + 5045.28i −0.0797004 + 0.287055i
\(677\) −9335.63 + 4949.44i −0.529981 + 0.280978i −0.711834 0.702347i \(-0.752135\pi\)
0.181853 + 0.983326i \(0.441791\pi\)
\(678\) −21706.2 + 12490.4i −1.22953 + 0.707510i
\(679\) 29468.8 1597.75i 1.66555 0.0903036i
\(680\) 15593.9 + 29413.1i 0.879408 + 1.65874i
\(681\) 27361.0 5465.65i 1.53961 0.307554i
\(682\) 9067.53 + 11928.1i 0.509111 + 0.669724i
\(683\) −4127.34 3137.53i −0.231228 0.175775i 0.483145 0.875541i \(-0.339495\pi\)
−0.714372 + 0.699766i \(0.753288\pi\)
\(684\) 10167.0 + 3873.22i 0.568342 + 0.216515i
\(685\) 26489.7 25092.4i 1.47755 1.39961i
\(686\) −3226.69 19682.0i −0.179586 1.09542i
\(687\) −26524.8 1957.41i −1.47305 0.108704i
\(688\) −297.650 + 643.360i −0.0164939 + 0.0356510i
\(689\) 10931.8 20619.6i 0.604455 1.14012i
\(690\) −11208.6 3348.75i −0.618414 0.184760i
\(691\) 7618.11 + 5165.20i 0.419401 + 0.284361i 0.752578 0.658503i \(-0.228810\pi\)
−0.333176 + 0.942865i \(0.608120\pi\)
\(692\) 553.937 + 121.931i 0.0304299 + 0.00669814i
\(693\) −12171.9 + 20942.7i −0.667203 + 1.14798i
\(694\) −437.447 + 263.203i −0.0239269 + 0.0143963i
\(695\) −26447.9 + 22465.1i −1.44349 + 1.22611i
\(696\) 2776.75 2819.20i 0.151225 0.153537i
\(697\) 25300.8 5569.13i 1.37495 0.302648i
\(698\) −19601.0 7809.74i −1.06290 0.423500i
\(699\) −31365.1 7547.96i −1.69719 0.408426i
\(700\) 2176.46 13275.8i 0.117518 0.716827i
\(701\) −5074.93 7484.96i −0.273434 0.403285i 0.666034 0.745921i \(-0.267991\pi\)
−0.939468 + 0.342636i \(0.888680\pi\)
\(702\) −28425.3 + 6128.15i −1.52827 + 0.329476i
\(703\) 354.825 1053.08i 0.0190363 0.0564976i
\(704\) 8139.43 + 885.216i 0.435747 + 0.0473904i
\(705\) 32448.9 41001.4i 1.73347 2.19036i
\(706\) 258.890 4774.94i 0.0138009 0.254543i
\(707\) 1303.65 0.0693477
\(708\) 4182.06 6230.65i 0.221994 0.330737i
\(709\) −28269.4 −1.49743 −0.748715 0.662892i \(-0.769329\pi\)
−0.748715 + 0.662892i \(0.769329\pi\)
\(710\) 2782.57 51321.4i 0.147081 2.71276i
\(711\) −1123.57 + 5500.69i −0.0592648 + 0.290143i
\(712\) 16703.4 + 1816.61i 0.879196 + 0.0956184i
\(713\) −1132.29 + 3360.51i −0.0594734 + 0.176511i
\(714\) −28415.1 25105.9i −1.48937 1.31592i
\(715\) −29571.3 43614.4i −1.54672 2.28124i
\(716\) 740.627 4517.63i 0.0386572 0.235798i
\(717\) 6757.54 28080.6i 0.351974 1.46261i
\(718\) 41389.3 + 16491.0i 2.15130 + 0.857157i
\(719\) 17710.5 3898.38i 0.918624 0.202204i 0.269600 0.962972i \(-0.413108\pi\)
0.649024 + 0.760768i \(0.275177\pi\)
\(720\) −37702.6 12069.7i −1.95152 0.624736i
\(721\) 784.971 666.760i 0.0405462 0.0344403i
\(722\) 26168.0 15744.7i 1.34885 0.811577i
\(723\) 13046.3 + 20073.5i 0.671089 + 1.03256i
\(724\) −10911.4 2401.77i −0.560107 0.123289i
\(725\) −8477.38 5747.81i −0.434265 0.294439i
\(726\) 3911.32 13091.6i 0.199949 0.669251i
\(727\) −13803.0 + 26035.2i −0.704160 + 1.32819i 0.230649 + 0.973037i \(0.425915\pi\)
−0.934809 + 0.355150i \(0.884430\pi\)
\(728\) −8167.49 + 17653.7i −0.415807 + 0.898752i
\(729\) −12612.3 15111.3i −0.640772 0.767731i
\(730\) 2731.79 + 16663.2i 0.138504 + 0.844839i
\(731\) 725.845 687.557i 0.0367255 0.0347883i
\(732\) −5179.51 5685.98i −0.261530 0.287104i
\(733\) −12020.4 9137.70i −0.605710 0.460449i 0.256817 0.966460i \(-0.417326\pi\)
−0.862527 + 0.506012i \(0.831119\pi\)
\(734\) −780.010 1026.09i −0.0392244 0.0515988i
\(735\) −699.008 3499.23i −0.0350793 0.175607i
\(736\) −2329.97 4394.79i −0.116690 0.220100i
\(737\) 8005.34 434.037i 0.400109 0.0216933i
\(738\) −11469.1 + 17480.9i −0.572063 + 0.871923i
\(739\) 1998.67 1059.63i 0.0994890 0.0527457i −0.417921 0.908483i \(-0.637241\pi\)
0.517410 + 0.855738i \(0.326896\pi\)
\(740\) 138.454 498.667i 0.00687794 0.0247721i
\(741\) −17813.9 + 36613.6i −0.883143 + 1.81516i
\(742\) −14863.1 + 19552.0i −0.735364 + 0.967355i
\(743\) −5469.99 + 1518.74i −0.270087 + 0.0749892i −0.399931 0.916545i \(-0.630966\pi\)
0.129844 + 0.991534i \(0.458552\pi\)
\(744\) −2750.48 + 7665.87i −0.135534 + 0.377748i
\(745\) −7193.82 + 1179.37i −0.353773 + 0.0579982i
\(746\) 10301.4 + 6198.16i 0.505579 + 0.304197i
\(747\) −17378.6 + 9554.09i −0.851203 + 0.467960i
\(748\) 14496.1 + 7685.32i 0.708594 + 0.375673i
\(749\) −12971.0 + 13693.3i −0.632776 + 0.668014i
\(750\) −3747.20 + 29154.8i −0.182438 + 1.41944i
\(751\) −3079.11 + 13988.5i −0.149612 + 0.679692i 0.840777 + 0.541381i \(0.182098\pi\)
−0.990389 + 0.138311i \(0.955833\pi\)
\(752\) 42947.9 4670.87i 2.08264 0.226501i
\(753\) 5521.59 8784.60i 0.267222 0.425138i
\(754\) −6347.16 7472.46i −0.306565 0.360916i
\(755\) −10378.3 + 3496.86i −0.500273 + 0.168561i
\(756\) 8706.12 434.289i 0.418834 0.0208928i
\(757\) 1130.34 2836.95i 0.0542709 0.136210i −0.899341 0.437247i \(-0.855954\pi\)
0.953612 + 0.301037i \(0.0973329\pi\)
\(758\) 1303.10 1534.13i 0.0624418 0.0735121i
\(759\) 8305.20 2619.20i 0.397180 0.125258i
\(760\) −31138.4 + 21112.3i −1.48619 + 1.00766i
\(761\) −5572.12 + 2220.14i −0.265426 + 0.105755i −0.499055 0.866570i \(-0.666319\pi\)
0.233629 + 0.972326i \(0.424940\pi\)
\(762\) −2675.76 18583.9i −0.127208 0.883496i
\(763\) 125.262 1151.76i 0.00594336 0.0546482i
\(764\) −7892.12 + 3651.28i −0.373726 + 0.172904i
\(765\) 43097.8 + 35496.1i 2.03687 + 1.67760i
\(766\) 19949.7i 0.941007i
\(767\) 21837.4 + 17658.2i 1.02804 + 0.831291i
\(768\) −9894.30 19575.5i −0.464882 0.919753i
\(769\) −1030.21 55.8565i −0.0483100 0.00261929i 0.0299681 0.999551i \(-0.490459\pi\)
−0.0782781 + 0.996932i \(0.524942\pi\)
\(770\) 23284.0 + 50327.5i 1.08974 + 2.35543i
\(771\) 7063.14 2655.86i 0.329926 0.124058i
\(772\) −4359.71 1468.96i −0.203250 0.0684830i
\(773\) 11453.9 + 28747.2i 0.532