Properties

Label 63.4.s.a.47.17
Level $63$
Weight $4$
Character 63.47
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.s (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.71712033036\)
Analytic rank: \(0\)
Dimension: \(44\)
Relative dimension: \(22\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 47.17
Character \(\chi\) \(=\) 63.47
Dual form 63.4.s.a.59.17

$q$-expansion

\(f(q)\) \(=\) \(q+(2.52419 - 1.45734i) q^{2} +(-4.29460 + 2.92513i) q^{3} +(0.247680 - 0.428994i) q^{4} +17.2113 q^{5} +(-6.57748 + 13.6423i) q^{6} +(17.7231 - 5.37495i) q^{7} +21.8736i q^{8} +(9.88725 - 25.1245i) q^{9} +O(q^{10})\) \(q+(2.52419 - 1.45734i) q^{2} +(-4.29460 + 2.92513i) q^{3} +(0.247680 - 0.428994i) q^{4} +17.2113 q^{5} +(-6.57748 + 13.6423i) q^{6} +(17.7231 - 5.37495i) q^{7} +21.8736i q^{8} +(9.88725 - 25.1245i) q^{9} +(43.4446 - 25.0828i) q^{10} +35.6923i q^{11} +(0.191176 + 2.56686i) q^{12} +(-8.99430 + 5.19286i) q^{13} +(36.9034 - 39.3960i) q^{14} +(-73.9159 + 50.3454i) q^{15} +(33.8587 + 58.6451i) q^{16} +(-64.1402 - 111.094i) q^{17} +(-11.6577 - 77.8281i) q^{18} +(-84.7576 - 48.9348i) q^{19} +(4.26290 - 7.38356i) q^{20} +(-60.3915 + 74.9258i) q^{21} +(52.0158 + 90.0941i) q^{22} -25.5640i q^{23} +(-63.9832 - 93.9386i) q^{24} +171.230 q^{25} +(-15.1355 + 26.2155i) q^{26} +(31.0307 + 136.821i) q^{27} +(2.08385 - 8.93439i) q^{28} +(-14.1366 - 8.16176i) q^{29} +(-113.207 + 234.802i) q^{30} +(160.589 + 92.7160i) q^{31} +(19.3867 + 11.1929i) q^{32} +(-104.405 - 153.284i) q^{33} +(-323.804 - 186.948i) q^{34} +(305.039 - 92.5101i) q^{35} +(-8.32941 - 10.4644i) q^{36} +(-0.462855 + 0.801688i) q^{37} -285.259 q^{38} +(23.4372 - 48.6108i) q^{39} +376.474i q^{40} +(-231.546 - 401.049i) q^{41} +(-43.2471 + 277.138i) q^{42} +(-43.2469 + 74.9058i) q^{43} +(15.3118 + 8.84027i) q^{44} +(170.173 - 432.427i) q^{45} +(-37.2555 - 64.5283i) q^{46} +(-143.746 - 248.976i) q^{47} +(-316.954 - 152.816i) q^{48} +(285.220 - 190.522i) q^{49} +(432.217 - 249.541i) q^{50} +(600.421 + 289.487i) q^{51} +5.14467i q^{52} +(-334.811 + 193.303i) q^{53} +(277.723 + 300.141i) q^{54} +614.313i q^{55} +(117.570 + 387.669i) q^{56} +(507.141 - 37.7712i) q^{57} -47.5778 q^{58} +(-45.2274 + 78.3362i) q^{59} +(3.29040 + 44.1790i) q^{60} +(120.761 - 69.7214i) q^{61} +540.475 q^{62} +(40.1900 - 498.429i) q^{63} -476.492 q^{64} +(-154.804 + 89.3761i) q^{65} +(-486.924 - 234.765i) q^{66} +(-151.612 + 262.599i) q^{67} -63.5449 q^{68} +(74.7780 + 109.787i) q^{69} +(635.157 - 678.059i) q^{70} +351.969i q^{71} +(549.565 + 216.270i) q^{72} +(761.691 - 439.763i) q^{73} +2.69815i q^{74} +(-735.367 + 500.871i) q^{75} +(-41.9855 + 24.2403i) q^{76} +(191.844 + 632.580i) q^{77} +(-11.6826 - 156.859i) q^{78} +(7.12361 + 12.3385i) q^{79} +(582.755 + 1009.36i) q^{80} +(-533.485 - 496.825i) q^{81} +(-1168.93 - 674.881i) q^{82} +(-125.688 + 217.699i) q^{83} +(17.1850 + 44.4652i) q^{84} +(-1103.94 - 1912.08i) q^{85} +252.102i q^{86} +(84.5852 - 6.29979i) q^{87} -780.720 q^{88} +(-505.658 + 875.825i) q^{89} +(-200.645 - 1339.53i) q^{90} +(-131.496 + 140.378i) q^{91} +(-10.9668 - 6.33169i) q^{92} +(-960.871 + 71.5644i) q^{93} +(-725.684 - 418.974i) q^{94} +(-1458.79 - 842.234i) q^{95} +(-115.999 + 8.63945i) q^{96} +(1125.76 + 649.959i) q^{97} +(442.293 - 896.575i) q^{98} +(896.753 + 352.899i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} + O(q^{10}) \) \( 44q - 3q^{2} - 3q^{3} + 81q^{4} - 6q^{5} - 24q^{6} + 5q^{7} - 3q^{9} - 6q^{10} - 3q^{12} + 36q^{13} + 129q^{14} - 141q^{15} - 263q^{16} + 72q^{17} - 15q^{18} - 6q^{19} - 24q^{20} - 306q^{21} + 14q^{22} - 66q^{24} + 698q^{25} + 96q^{26} - 432q^{27} - 156q^{28} - 132q^{29} + 852q^{30} + 177q^{31} - 501q^{32} + 849q^{33} - 24q^{34} - 765q^{35} + 1122q^{36} + 82q^{37} - 1746q^{38} - 645q^{39} - 618q^{41} - 963q^{42} + 82q^{43} - 603q^{44} + 303q^{45} + 266q^{46} - 201q^{47} + 1569q^{48} + 515q^{49} - 1845q^{50} + 417q^{51} - 564q^{53} - 684q^{54} + 3600q^{56} + 1170q^{57} - 538q^{58} + 747q^{59} - 516q^{60} - 1209q^{61} + 2904q^{62} + 1557q^{63} - 1144q^{64} - 831q^{65} + 1029q^{66} + 295q^{67} + 7008q^{68} + 1005q^{69} - 390q^{70} - 1119q^{72} - 6q^{73} - 1788q^{75} + 144q^{76} - 1203q^{77} - 5985q^{78} - 551q^{79} + 4239q^{80} + 3741q^{81} + 18q^{82} - 1830q^{83} - 7725q^{84} - 237q^{85} - 2130q^{87} + 1246q^{88} - 4266q^{89} - 9993q^{90} - 1140q^{91} + 7896q^{92} - 1479q^{93} - 3q^{94} - 1053q^{95} + 5034q^{96} + 792q^{97} - 5667q^{98} + 4335q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(10\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.52419 1.45734i 0.892435 0.515248i 0.0176967 0.999843i \(-0.494367\pi\)
0.874738 + 0.484596i \(0.161033\pi\)
\(3\) −4.29460 + 2.92513i −0.826497 + 0.562941i
\(4\) 0.247680 0.428994i 0.0309600 0.0536243i
\(5\) 17.2113 1.53943 0.769715 0.638388i \(-0.220398\pi\)
0.769715 + 0.638388i \(0.220398\pi\)
\(6\) −6.57748 + 13.6423i −0.447541 + 0.928239i
\(7\) 17.7231 5.37495i 0.956960 0.290220i
\(8\) 21.8736i 0.966687i
\(9\) 9.88725 25.1245i 0.366194 0.930538i
\(10\) 43.4446 25.0828i 1.37384 0.793187i
\(11\) 35.6923i 0.978331i 0.872191 + 0.489165i \(0.162699\pi\)
−0.872191 + 0.489165i \(0.837301\pi\)
\(12\) 0.191176 + 2.56686i 0.00459898 + 0.0617489i
\(13\) −8.99430 + 5.19286i −0.191890 + 0.110788i −0.592867 0.805300i \(-0.702004\pi\)
0.400977 + 0.916088i \(0.368671\pi\)
\(14\) 36.9034 39.3960i 0.704489 0.752074i
\(15\) −73.9159 + 50.3454i −1.27233 + 0.866608i
\(16\) 33.8587 + 58.6451i 0.529043 + 0.916329i
\(17\) −64.1402 111.094i −0.915075 1.58496i −0.806791 0.590837i \(-0.798798\pi\)
−0.108285 0.994120i \(-0.534536\pi\)
\(18\) −11.6577 77.8281i −0.152653 1.01913i
\(19\) −84.7576 48.9348i −1.02341 0.590864i −0.108317 0.994116i \(-0.534546\pi\)
−0.915089 + 0.403253i \(0.867880\pi\)
\(20\) 4.26290 7.38356i 0.0476607 0.0825508i
\(21\) −60.3915 + 74.9258i −0.627548 + 0.778578i
\(22\) 52.0158 + 90.0941i 0.504082 + 0.873096i
\(23\) 25.5640i 0.231759i −0.993263 0.115880i \(-0.963031\pi\)
0.993263 0.115880i \(-0.0369687\pi\)
\(24\) −63.9832 93.9386i −0.544188 0.798964i
\(25\) 171.230 1.36984
\(26\) −15.1355 + 26.2155i −0.114166 + 0.197742i
\(27\) 31.0307 + 136.821i 0.221180 + 0.975233i
\(28\) 2.08385 8.93439i 0.0140646 0.0603015i
\(29\) −14.1366 8.16176i −0.0905206 0.0522621i 0.454056 0.890973i \(-0.349976\pi\)
−0.544577 + 0.838711i \(0.683310\pi\)
\(30\) −113.207 + 234.802i −0.688957 + 1.42896i
\(31\) 160.589 + 92.7160i 0.930406 + 0.537170i 0.886940 0.461884i \(-0.152827\pi\)
0.0434664 + 0.999055i \(0.486160\pi\)
\(32\) 19.3867 + 11.1929i 0.107097 + 0.0618327i
\(33\) −104.405 153.284i −0.550743 0.808587i
\(34\) −323.804 186.948i −1.63329 0.942981i
\(35\) 305.039 92.5101i 1.47317 0.446773i
\(36\) −8.32941 10.4644i −0.0385621 0.0484464i
\(37\) −0.462855 + 0.801688i −0.00205656 + 0.00356207i −0.867052 0.498218i \(-0.833988\pi\)
0.864995 + 0.501780i \(0.167321\pi\)
\(38\) −285.259 −1.21776
\(39\) 23.4372 48.6108i 0.0962295 0.199589i
\(40\) 376.474i 1.48815i
\(41\) −231.546 401.049i −0.881984 1.52764i −0.849132 0.528181i \(-0.822874\pi\)
−0.0328523 0.999460i \(-0.510459\pi\)
\(42\) −43.2471 + 277.138i −0.158885 + 1.01817i
\(43\) −43.2469 + 74.9058i −0.153374 + 0.265652i −0.932466 0.361258i \(-0.882347\pi\)
0.779092 + 0.626910i \(0.215681\pi\)
\(44\) 15.3118 + 8.84027i 0.0524623 + 0.0302891i
\(45\) 170.173 432.427i 0.563730 1.43250i
\(46\) −37.2555 64.5283i −0.119413 0.206830i
\(47\) −143.746 248.976i −0.446118 0.772698i 0.552012 0.833836i \(-0.313860\pi\)
−0.998129 + 0.0611380i \(0.980527\pi\)
\(48\) −316.954 152.816i −0.953092 0.459523i
\(49\) 285.220 190.522i 0.831545 0.555458i
\(50\) 432.217 249.541i 1.22250 0.705808i
\(51\) 600.421 + 289.487i 1.64854 + 0.794828i
\(52\) 5.14467i 0.0137200i
\(53\) −334.811 + 193.303i −0.867732 + 0.500985i −0.866594 0.499014i \(-0.833696\pi\)
−0.00113806 + 0.999999i \(0.500362\pi\)
\(54\) 277.723 + 300.141i 0.699875 + 0.756369i
\(55\) 614.313i 1.50607i
\(56\) 117.570 + 387.669i 0.280552 + 0.925081i
\(57\) 507.141 37.7712i 1.17846 0.0877704i
\(58\) −47.5778 −0.107712
\(59\) −45.2274 + 78.3362i −0.0997985 + 0.172856i −0.911601 0.411076i \(-0.865153\pi\)
0.811803 + 0.583932i \(0.198486\pi\)
\(60\) 3.29040 + 44.1790i 0.00707980 + 0.0950581i
\(61\) 120.761 69.7214i 0.253473 0.146343i −0.367880 0.929873i \(-0.619916\pi\)
0.621354 + 0.783530i \(0.286583\pi\)
\(62\) 540.475 1.10710
\(63\) 40.1900 498.429i 0.0803725 0.996765i
\(64\) −476.492 −0.930649
\(65\) −154.804 + 89.3761i −0.295401 + 0.170550i
\(66\) −486.924 234.765i −0.908124 0.437843i
\(67\) −151.612 + 262.599i −0.276452 + 0.478830i −0.970501 0.241099i \(-0.922492\pi\)
0.694048 + 0.719929i \(0.255826\pi\)
\(68\) −63.5449 −0.113323
\(69\) 74.7780 + 109.787i 0.130467 + 0.191548i
\(70\) 635.157 678.059i 1.08451 1.15776i
\(71\) 351.969i 0.588325i 0.955755 + 0.294163i \(0.0950407\pi\)
−0.955755 + 0.294163i \(0.904959\pi\)
\(72\) 549.565 + 216.270i 0.899539 + 0.353995i
\(73\) 761.691 439.763i 1.22122 0.705073i 0.256044 0.966665i \(-0.417581\pi\)
0.965179 + 0.261592i \(0.0842475\pi\)
\(74\) 2.69815i 0.00423856i
\(75\) −735.367 + 500.871i −1.13217 + 0.771141i
\(76\) −41.9855 + 24.2403i −0.0633693 + 0.0365863i
\(77\) 191.844 + 632.580i 0.283931 + 0.936223i
\(78\) −11.6826 156.859i −0.0169589 0.227702i
\(79\) 7.12361 + 12.3385i 0.0101452 + 0.0175720i 0.871053 0.491188i \(-0.163437\pi\)
−0.860908 + 0.508760i \(0.830104\pi\)
\(80\) 582.755 + 1009.36i 0.814424 + 1.41062i
\(81\) −533.485 496.825i −0.731803 0.681516i
\(82\) −1168.93 674.881i −1.57423 0.908880i
\(83\) −125.688 + 217.699i −0.166218 + 0.287898i −0.937087 0.349095i \(-0.886489\pi\)
0.770869 + 0.636994i \(0.219822\pi\)
\(84\) 17.1850 + 44.4652i 0.0223218 + 0.0577565i
\(85\) −1103.94 1912.08i −1.40869 2.43993i
\(86\) 252.102i 0.316102i
\(87\) 84.5852 6.29979i 0.104235 0.00776332i
\(88\) −780.720 −0.945739
\(89\) −505.658 + 875.825i −0.602243 + 1.04312i 0.390238 + 0.920714i \(0.372393\pi\)
−0.992481 + 0.122401i \(0.960940\pi\)
\(90\) −200.645 1339.53i −0.234999 1.56887i
\(91\) −131.496 + 140.378i −0.151478 + 0.161710i
\(92\) −10.9668 6.33169i −0.0124279 0.00717527i
\(93\) −960.871 + 71.5644i −1.07137 + 0.0797945i
\(94\) −725.684 418.974i −0.796262 0.459722i
\(95\) −1458.79 842.234i −1.57546 0.909593i
\(96\) −115.999 + 8.63945i −0.123324 + 0.00918500i
\(97\) 1125.76 + 649.959i 1.17839 + 0.680344i 0.955642 0.294532i \(-0.0951638\pi\)
0.222748 + 0.974876i \(0.428497\pi\)
\(98\) 442.293 896.575i 0.455901 0.924161i
\(99\) 896.753 + 352.899i 0.910374 + 0.358259i
\(100\) 42.4103 73.4568i 0.0424103 0.0734568i
\(101\) −852.814 −0.840180 −0.420090 0.907482i \(-0.638002\pi\)
−0.420090 + 0.907482i \(0.638002\pi\)
\(102\) 1937.46 144.299i 1.88075 0.140076i
\(103\) 42.6846i 0.0408334i 0.999792 + 0.0204167i \(0.00649929\pi\)
−0.999792 + 0.0204167i \(0.993501\pi\)
\(104\) −113.587 196.738i −0.107097 0.185498i
\(105\) −1039.42 + 1289.57i −0.966065 + 1.19857i
\(106\) −563.417 + 975.866i −0.516263 + 0.894193i
\(107\) 718.939 + 415.080i 0.649556 + 0.375021i 0.788286 0.615309i \(-0.210969\pi\)
−0.138730 + 0.990330i \(0.544302\pi\)
\(108\) 66.3813 + 20.5759i 0.0591439 + 0.0183326i
\(109\) 689.418 + 1194.11i 0.605819 + 1.04931i 0.991921 + 0.126853i \(0.0404877\pi\)
−0.386103 + 0.922456i \(0.626179\pi\)
\(110\) 895.262 + 1550.64i 0.775999 + 1.34407i
\(111\) −0.357262 4.79684i −0.000305494 0.00410177i
\(112\) 915.298 + 857.386i 0.772210 + 0.723352i
\(113\) 1325.63 765.354i 1.10358 0.637155i 0.166424 0.986054i \(-0.446778\pi\)
0.937160 + 0.348900i \(0.113445\pi\)
\(114\) 1225.07 834.418i 1.00648 0.685530i
\(115\) 439.991i 0.356777i
\(116\) −7.00269 + 4.04301i −0.00560503 + 0.00323607i
\(117\) 41.5394 + 277.321i 0.0328232 + 0.219131i
\(118\) 263.647i 0.205684i
\(119\) −1733.89 1624.19i −1.33568 1.25117i
\(120\) −1101.24 1616.81i −0.837739 1.22995i
\(121\) 57.0592 0.0428694
\(122\) 203.216 351.980i 0.150806 0.261203i
\(123\) 2167.52 + 1045.04i 1.58893 + 0.766086i
\(124\) 79.5492 45.9278i 0.0576107 0.0332616i
\(125\) 795.686 0.569347
\(126\) −624.934 1316.70i −0.441853 0.930959i
\(127\) 106.298 0.0742710 0.0371355 0.999310i \(-0.488177\pi\)
0.0371355 + 0.999310i \(0.488177\pi\)
\(128\) −1357.85 + 783.955i −0.937641 + 0.541347i
\(129\) −33.3808 448.193i −0.0227831 0.305901i
\(130\) −260.503 + 451.204i −0.175751 + 0.304409i
\(131\) −27.2836 −0.0181968 −0.00909841 0.999959i \(-0.502896\pi\)
−0.00909841 + 0.999959i \(0.502896\pi\)
\(132\) −91.6170 + 6.82351i −0.0604109 + 0.00449932i
\(133\) −1765.19 411.711i −1.15084 0.268420i
\(134\) 883.799i 0.569766i
\(135\) 534.080 + 2354.88i 0.340491 + 1.50130i
\(136\) 2430.03 1402.98i 1.53216 0.884591i
\(137\) 86.9719i 0.0542373i −0.999632 0.0271186i \(-0.991367\pi\)
0.999632 0.0271186i \(-0.00863319\pi\)
\(138\) 348.751 + 168.147i 0.215128 + 0.103722i
\(139\) −248.393 + 143.410i −0.151572 + 0.0875099i −0.573868 0.818948i \(-0.694558\pi\)
0.422296 + 0.906458i \(0.361224\pi\)
\(140\) 35.8658 153.773i 0.0216515 0.0928299i
\(141\) 1345.62 + 648.776i 0.803699 + 0.387495i
\(142\) 512.939 + 888.437i 0.303133 + 0.525042i
\(143\) −185.345 321.027i −0.108387 0.187732i
\(144\) 1808.20 270.847i 1.04641 0.156740i
\(145\) −243.310 140.475i −0.139350 0.0804538i
\(146\) 1281.77 2220.09i 0.726574 1.25846i
\(147\) −667.605 + 1652.52i −0.374579 + 0.927195i
\(148\) 0.229280 + 0.397124i 0.000127342 + 0.000220563i
\(149\) 2020.90i 1.11113i −0.831473 0.555566i \(-0.812502\pi\)
0.831473 0.555566i \(-0.187498\pi\)
\(150\) −1126.26 + 2335.97i −0.613060 + 1.27154i
\(151\) −1919.05 −1.03424 −0.517120 0.855913i \(-0.672996\pi\)
−0.517120 + 0.855913i \(0.672996\pi\)
\(152\) 1070.38 1853.95i 0.571180 0.989313i
\(153\) −3425.36 + 513.078i −1.80996 + 0.271111i
\(154\) 1406.14 + 1317.17i 0.735777 + 0.689223i
\(155\) 2763.95 + 1595.77i 1.43230 + 0.826936i
\(156\) −15.0488 22.0943i −0.00772353 0.0113395i
\(157\) 784.058 + 452.676i 0.398565 + 0.230111i 0.685864 0.727729i \(-0.259424\pi\)
−0.287300 + 0.957841i \(0.592758\pi\)
\(158\) 35.9626 + 20.7630i 0.0181078 + 0.0104545i
\(159\) 872.443 1809.52i 0.435152 0.902545i
\(160\) 333.671 + 192.645i 0.164869 + 0.0951871i
\(161\) −137.405 453.075i −0.0672612 0.221784i
\(162\) −2070.66 476.610i −1.00424 0.231148i
\(163\) 1124.59 1947.85i 0.540397 0.935995i −0.458484 0.888703i \(-0.651607\pi\)
0.998881 0.0472926i \(-0.0150593\pi\)
\(164\) −229.397 −0.109225
\(165\) −1796.94 2638.23i −0.847829 1.24476i
\(166\) 732.683i 0.342574i
\(167\) 1097.47 + 1900.88i 0.508534 + 0.880807i 0.999951 + 0.00988229i \(0.00314568\pi\)
−0.491417 + 0.870924i \(0.663521\pi\)
\(168\) −1638.90 1320.98i −0.752641 0.606642i
\(169\) −1044.57 + 1809.25i −0.475452 + 0.823507i
\(170\) −5573.10 3217.63i −2.51434 1.45165i
\(171\) −2067.48 + 1645.66i −0.924587 + 0.735948i
\(172\) 21.4228 + 37.1053i 0.00949692 + 0.0164491i
\(173\) −1351.18 2340.32i −0.593807 1.02850i −0.993714 0.111948i \(-0.964291\pi\)
0.399908 0.916555i \(-0.369042\pi\)
\(174\) 204.328 139.171i 0.0890233 0.0606353i
\(175\) 3034.74 920.354i 1.31088 0.397556i
\(176\) −2093.18 + 1208.50i −0.896473 + 0.517579i
\(177\) −34.9096 468.719i −0.0148247 0.199046i
\(178\) 2947.66i 1.24122i
\(179\) 351.098 202.707i 0.146605 0.0846425i −0.424903 0.905239i \(-0.639692\pi\)
0.571508 + 0.820596i \(0.306359\pi\)
\(180\) −143.360 180.107i −0.0593636 0.0745797i
\(181\) 3023.81i 1.24176i 0.783907 + 0.620878i \(0.213224\pi\)
−0.783907 + 0.620878i \(0.786776\pi\)
\(182\) −127.342 + 545.974i −0.0518639 + 0.222364i
\(183\) −314.677 + 652.667i −0.127112 + 0.263642i
\(184\) 559.178 0.224039
\(185\) −7.96635 + 13.7981i −0.00316593 + 0.00548356i
\(186\) −2321.13 + 1580.96i −0.915017 + 0.623234i
\(187\) 3965.20 2289.31i 1.55061 0.895246i
\(188\) −142.412 −0.0552472
\(189\) 1285.37 + 2258.12i 0.494692 + 0.869068i
\(190\) −4909.68 −1.87466
\(191\) −890.669 + 514.228i −0.337416 + 0.194807i −0.659129 0.752030i \(-0.729075\pi\)
0.321713 + 0.946837i \(0.395742\pi\)
\(192\) 2046.35 1393.80i 0.769179 0.523901i
\(193\) 2051.01 3552.46i 0.764948 1.32493i −0.175326 0.984510i \(-0.556098\pi\)
0.940274 0.340419i \(-0.110569\pi\)
\(194\) 3788.85 1.40218
\(195\) 403.385 836.657i 0.148139 0.307253i
\(196\) −11.0896 169.546i −0.00404140 0.0617879i
\(197\) 805.333i 0.291257i 0.989339 + 0.145628i \(0.0465204\pi\)
−0.989339 + 0.145628i \(0.953480\pi\)
\(198\) 2777.86 416.092i 0.997042 0.149345i
\(199\) −1923.11 + 1110.31i −0.685054 + 0.395516i −0.801757 0.597651i \(-0.796101\pi\)
0.116702 + 0.993167i \(0.462768\pi\)
\(200\) 3745.43i 1.32421i
\(201\) −117.024 1571.24i −0.0410659 0.551378i
\(202\) −2152.66 + 1242.84i −0.749806 + 0.432901i
\(203\) −294.414 68.6687i −0.101792 0.0237418i
\(204\) 272.900 185.877i 0.0936610 0.0637941i
\(205\) −3985.21 6902.59i −1.35775 2.35170i
\(206\) 62.2060 + 107.744i 0.0210393 + 0.0364411i
\(207\) −642.284 252.758i −0.215661 0.0848690i
\(208\) −609.072 351.648i −0.203036 0.117223i
\(209\) 1746.60 3025.19i 0.578060 1.00123i
\(210\) −744.340 + 4769.91i −0.244592 + 1.56740i
\(211\) 1123.34 + 1945.68i 0.366511 + 0.634816i 0.989017 0.147799i \(-0.0472188\pi\)
−0.622506 + 0.782615i \(0.713885\pi\)
\(212\) 191.509i 0.0620420i
\(213\) −1029.56 1511.57i −0.331193 0.486249i
\(214\) 2419.65 0.772915
\(215\) −744.337 + 1289.23i −0.236109 + 0.408952i
\(216\) −2992.78 + 678.754i −0.942745 + 0.213812i
\(217\) 3344.48 + 780.062i 1.04626 + 0.244028i
\(218\) 3480.44 + 2009.43i 1.08131 + 0.624293i
\(219\) −1984.80 + 4116.65i −0.612422 + 1.27022i
\(220\) 263.536 + 152.153i 0.0807619 + 0.0466279i
\(221\) 1153.79 + 666.142i 0.351188 + 0.202758i
\(222\) −7.89242 11.5875i −0.00238606 0.00350315i
\(223\) 3632.93 + 2097.48i 1.09094 + 0.629854i 0.933826 0.357727i \(-0.116448\pi\)
0.157112 + 0.987581i \(0.449782\pi\)
\(224\) 403.755 + 94.1712i 0.120433 + 0.0280896i
\(225\) 1693.00 4302.08i 0.501629 1.27469i
\(226\) 2230.76 3863.79i 0.656585 1.13724i
\(227\) −2341.01 −0.684487 −0.342243 0.939611i \(-0.611187\pi\)
−0.342243 + 0.939611i \(0.611187\pi\)
\(228\) 109.405 226.916i 0.0317786 0.0659116i
\(229\) 3060.73i 0.883225i 0.897206 + 0.441613i \(0.145593\pi\)
−0.897206 + 0.441613i \(0.854407\pi\)
\(230\) −641.217 1110.62i −0.183829 0.318400i
\(231\) −2674.27 2155.51i −0.761707 0.613949i
\(232\) 178.527 309.218i 0.0505211 0.0875051i
\(233\) 2201.24 + 1270.89i 0.618920 + 0.357333i 0.776448 0.630181i \(-0.217019\pi\)
−0.157529 + 0.987514i \(0.550353\pi\)
\(234\) 509.004 + 639.473i 0.142199 + 0.178648i
\(235\) −2474.06 4285.20i −0.686766 1.18951i
\(236\) 22.4039 + 38.8046i 0.00617952 + 0.0107032i
\(237\) −66.6846 32.1513i −0.0182769 0.00881203i
\(238\) −6743.66 1572.88i −1.83667 0.428381i
\(239\) −1543.33 + 891.040i −0.417697 + 0.241157i −0.694091 0.719887i \(-0.744194\pi\)
0.276395 + 0.961044i \(0.410860\pi\)
\(240\) −5455.21 2630.17i −1.46722 0.707404i
\(241\) 1610.36i 0.430426i 0.976567 + 0.215213i \(0.0690445\pi\)
−0.976567 + 0.215213i \(0.930955\pi\)
\(242\) 144.028 83.1547i 0.0382582 0.0220884i
\(243\) 3744.38 + 573.155i 0.988487 + 0.151308i
\(244\) 69.0743i 0.0181231i
\(245\) 4909.02 3279.14i 1.28010 0.855088i
\(246\) 6994.20 520.919i 1.81274 0.135010i
\(247\) 1016.45 0.261842
\(248\) −2028.03 + 3512.66i −0.519276 + 0.899412i
\(249\) −97.0148 1302.58i −0.0246910 0.331518i
\(250\) 2008.46 1159.59i 0.508105 0.293355i
\(251\) −603.105 −0.151664 −0.0758320 0.997121i \(-0.524161\pi\)
−0.0758320 + 0.997121i \(0.524161\pi\)
\(252\) −203.869 140.692i −0.0509625 0.0351697i
\(253\) 912.439 0.226737
\(254\) 268.316 154.912i 0.0662820 0.0382679i
\(255\) 10334.1 + 4982.46i 2.53782 + 1.22358i
\(256\) −379.008 + 656.461i −0.0925312 + 0.160269i
\(257\) −1336.18 −0.324313 −0.162157 0.986765i \(-0.551845\pi\)
−0.162157 + 0.986765i \(0.551845\pi\)
\(258\) −737.429 1082.68i −0.177947 0.261258i
\(259\) −3.89421 + 16.6962i −0.000934264 + 0.00400562i
\(260\) 88.5467i 0.0211209i
\(261\) −344.832 + 274.478i −0.0817800 + 0.0650948i
\(262\) −68.8690 + 39.7615i −0.0162395 + 0.00937587i
\(263\) 5754.61i 1.34922i 0.738175 + 0.674609i \(0.235688\pi\)
−0.738175 + 0.674609i \(0.764312\pi\)
\(264\) 3352.88 2283.71i 0.781651 0.532396i
\(265\) −5762.54 + 3327.01i −1.33581 + 0.771231i
\(266\) −5055.68 + 1533.25i −1.16535 + 0.353420i
\(267\) −390.301 5240.44i −0.0894608 1.20116i
\(268\) 75.1023 + 130.081i 0.0171179 + 0.0296491i
\(269\) −926.438 1604.64i −0.209985 0.363704i 0.741725 0.670705i \(-0.234008\pi\)
−0.951709 + 0.307000i \(0.900675\pi\)
\(270\) 4779.98 + 5165.82i 1.07741 + 1.16438i
\(271\) −6459.12 3729.17i −1.44784 0.835908i −0.449483 0.893289i \(-0.648392\pi\)
−0.998352 + 0.0573809i \(0.981725\pi\)
\(272\) 4343.41 7523.01i 0.968228 1.67702i
\(273\) 154.100 987.510i 0.0341632 0.218926i
\(274\) −126.748 219.533i −0.0279456 0.0484032i
\(275\) 6111.61i 1.34016i
\(276\) 65.6191 4.88723i 0.0143109 0.00106586i
\(277\) 1370.01 0.297169 0.148585 0.988900i \(-0.452528\pi\)
0.148585 + 0.988900i \(0.452528\pi\)
\(278\) −417.994 + 723.987i −0.0901785 + 0.156194i
\(279\) 3917.23 3118.01i 0.840567 0.669070i
\(280\) 2023.53 + 6672.31i 0.431890 + 1.42410i
\(281\) −3574.32 2063.63i −0.758811 0.438100i 0.0700574 0.997543i \(-0.477682\pi\)
−0.828869 + 0.559443i \(0.811015\pi\)
\(282\) 4342.08 323.392i 0.916904 0.0682898i
\(283\) −1647.02 950.906i −0.345954 0.199737i 0.316948 0.948443i \(-0.397342\pi\)
−0.662902 + 0.748706i \(0.730675\pi\)
\(284\) 150.993 + 87.1758i 0.0315485 + 0.0182145i
\(285\) 8728.57 650.093i 1.81416 0.135116i
\(286\) −935.692 540.222i −0.193457 0.111692i
\(287\) −6259.33 5863.30i −1.28738 1.20592i
\(288\) 472.898 376.415i 0.0967562 0.0770155i
\(289\) −5771.43 + 9996.41i −1.17473 + 2.03469i
\(290\) −818.878 −0.165814
\(291\) −6735.92 + 501.682i −1.35693 + 0.101062i
\(292\) 435.681i 0.0873162i
\(293\) 3959.77 + 6858.52i 0.789530 + 1.36751i 0.926255 + 0.376896i \(0.123009\pi\)
−0.136726 + 0.990609i \(0.543658\pi\)
\(294\) 723.126 + 5144.20i 0.143447 + 1.02046i
\(295\) −778.425 + 1348.27i −0.153633 + 0.266100i
\(296\) −17.5358 10.1243i −0.00344341 0.00198805i
\(297\) −4883.47 + 1107.56i −0.954100 + 0.216387i
\(298\) −2945.14 5101.13i −0.572508 0.991612i
\(299\) 132.750 + 229.930i 0.0256761 + 0.0444723i
\(300\) 32.7351 + 439.523i 0.00629988 + 0.0845863i
\(301\) −363.856 + 1560.02i −0.0696754 + 0.298730i
\(302\) −4844.05 + 2796.71i −0.922993 + 0.532890i
\(303\) 3662.50 2494.59i 0.694406 0.472972i
\(304\) 6627.48i 1.25037i
\(305\) 2078.46 1200.00i 0.390204 0.225284i
\(306\) −7898.51 + 6287.02i −1.47558 + 1.17453i
\(307\) 1709.99i 0.317896i −0.987287 0.158948i \(-0.949190\pi\)
0.987287 0.158948i \(-0.0508102\pi\)
\(308\) 318.889 + 74.3772i 0.0589948 + 0.0137599i
\(309\) −124.858 183.313i −0.0229868 0.0337487i
\(310\) 9302.30 1.70431
\(311\) 5182.89 8977.03i 0.944999 1.63679i 0.189245 0.981930i \(-0.439396\pi\)
0.755753 0.654856i \(-0.227271\pi\)
\(312\) 1063.29 + 512.656i 0.192940 + 0.0930238i
\(313\) −7088.96 + 4092.81i −1.28016 + 0.739103i −0.976878 0.213796i \(-0.931417\pi\)
−0.303286 + 0.952899i \(0.598084\pi\)
\(314\) 2638.81 0.474257
\(315\) 691.724 8578.64i 0.123728 1.53445i
\(316\) 7.05750 0.00125638
\(317\) 3116.43 1799.27i 0.552165 0.318792i −0.197830 0.980236i \(-0.563389\pi\)
0.749995 + 0.661444i \(0.230056\pi\)
\(318\) −434.883 5839.02i −0.0766887 1.02967i
\(319\) 291.312 504.567i 0.0511296 0.0885591i
\(320\) −8201.07 −1.43267
\(321\) −4301.72 + 320.386i −0.747971 + 0.0557079i
\(322\) −1007.12 943.399i −0.174300 0.163272i
\(323\) 12554.7i 2.16274i
\(324\) −345.268 + 105.808i −0.0592024 + 0.0181427i
\(325\) −1540.10 + 889.176i −0.262859 + 0.151762i
\(326\) 6555.64i 1.11375i
\(327\) −6453.69 3111.58i −1.09141 0.526210i
\(328\) 8772.39 5064.74i 1.47675 0.852602i
\(329\) −3885.86 3640.00i −0.651169 0.609969i
\(330\) −8380.62 4040.63i −1.39799 0.674028i
\(331\) −3992.83 6915.79i −0.663039 1.14842i −0.979813 0.199917i \(-0.935933\pi\)
0.316773 0.948501i \(-0.397401\pi\)
\(332\) 62.2610 + 107.839i 0.0102922 + 0.0178266i
\(333\) 15.5657 + 19.5555i 0.00256154 + 0.00321812i
\(334\) 5540.46 + 3198.79i 0.907667 + 0.524042i
\(335\) −2609.44 + 4519.68i −0.425579 + 0.737125i
\(336\) −6438.81 1004.77i −1.04543 0.163139i
\(337\) −4758.03 8241.15i −0.769100 1.33212i −0.938052 0.346495i \(-0.887372\pi\)
0.168952 0.985624i \(-0.445962\pi\)
\(338\) 6089.17i 0.979902i
\(339\) −3454.31 + 7164.54i −0.553428 + 1.14786i
\(340\) −1093.69 −0.174453
\(341\) −3309.25 + 5731.78i −0.525530 + 0.910245i
\(342\) −2820.42 + 7166.99i −0.445938 + 1.13318i
\(343\) 4030.95 4909.69i 0.634550 0.772882i
\(344\) −1638.46 945.966i −0.256802 0.148265i
\(345\) 1287.03 + 1889.59i 0.200845 + 0.294875i
\(346\) −6821.28 3938.27i −1.05987 0.611915i
\(347\) 6785.01 + 3917.33i 1.04968 + 0.606032i 0.922559 0.385855i \(-0.126094\pi\)
0.127119 + 0.991887i \(0.459427\pi\)
\(348\) 18.2475 37.8469i 0.00281083 0.00582990i
\(349\) 5127.39 + 2960.30i 0.786427 + 0.454044i 0.838703 0.544589i \(-0.183314\pi\)
−0.0522759 + 0.998633i \(0.516648\pi\)
\(350\) 6318.98 6745.80i 0.965040 1.03022i
\(351\) −989.594 1069.47i −0.150486 0.162633i
\(352\) −399.501 + 691.956i −0.0604928 + 0.104777i
\(353\) 4592.76 0.692487 0.346244 0.938145i \(-0.387457\pi\)
0.346244 + 0.938145i \(0.387457\pi\)
\(354\) −771.201 1132.26i −0.115788 0.169997i
\(355\) 6057.87i 0.905685i
\(356\) 250.483 + 433.849i 0.0372909 + 0.0645897i
\(357\) 12197.3 + 1903.38i 1.80827 + 0.282178i
\(358\) 590.825 1023.34i 0.0872237 0.151076i
\(359\) −10030.3 5790.97i −1.47459 0.851353i −0.474997 0.879987i \(-0.657551\pi\)
−0.999590 + 0.0286338i \(0.990884\pi\)
\(360\) 9458.75 + 3722.30i 1.38478 + 0.544951i
\(361\) 1359.73 + 2355.12i 0.198240 + 0.343362i
\(362\) 4406.72 + 7632.66i 0.639812 + 1.10819i
\(363\) −245.047 + 166.905i −0.0354314 + 0.0241330i
\(364\) 27.6523 + 91.1797i 0.00398180 + 0.0131294i
\(365\) 13109.7 7568.91i 1.87999 1.08541i
\(366\) 156.855 + 2106.04i 0.0224015 + 0.300778i
\(367\) 4647.15i 0.660979i 0.943810 + 0.330490i \(0.107214\pi\)
−0.943810 + 0.330490i \(0.892786\pi\)
\(368\) 1499.20 865.565i 0.212368 0.122611i
\(369\) −12365.5 + 1852.21i −1.74451 + 0.261307i
\(370\) 46.4387i 0.00652496i
\(371\) −4894.91 + 5225.53i −0.684989 + 0.731256i
\(372\) −207.288 + 429.933i −0.0288908 + 0.0599220i
\(373\) 13272.9 1.84247 0.921237 0.389001i \(-0.127180\pi\)
0.921237 + 0.389001i \(0.127180\pi\)
\(374\) 6672.61 11557.3i 0.922547 1.59790i
\(375\) −3417.16 + 2327.48i −0.470563 + 0.320509i
\(376\) 5446.00 3144.25i 0.746957 0.431256i
\(377\) 169.532 0.0231600
\(378\) 6535.36 + 3826.69i 0.889266 + 0.520698i
\(379\) 11820.6 1.60207 0.801033 0.598620i \(-0.204284\pi\)
0.801033 + 0.598620i \(0.204284\pi\)
\(380\) −722.626 + 417.209i −0.0975525 + 0.0563220i
\(381\) −456.507 + 310.935i −0.0613847 + 0.0418102i
\(382\) −1498.81 + 2596.02i −0.200748 + 0.347706i
\(383\) 4630.60 0.617787 0.308894 0.951097i \(-0.400041\pi\)
0.308894 + 0.951097i \(0.400041\pi\)
\(384\) 3538.26 7338.66i 0.470211 0.975259i
\(385\) 3301.90 + 10887.6i 0.437092 + 1.44125i
\(386\) 11956.1i 1.57655i
\(387\) 1454.38 + 1827.17i 0.191034 + 0.240001i
\(388\) 557.657 321.964i 0.0729659 0.0421269i
\(389\) 8332.61i 1.08607i 0.839711 + 0.543034i \(0.182724\pi\)
−0.839711 + 0.543034i \(0.817276\pi\)
\(390\) −201.074 2699.75i −0.0261071 0.350531i
\(391\) −2840.01 + 1639.68i −0.367329 + 0.212077i
\(392\) 4167.41 + 6238.79i 0.536954 + 0.803843i
\(393\) 117.172 79.8082i 0.0150396 0.0102437i
\(394\) 1173.64 + 2032.81i 0.150069 + 0.259928i
\(395\) 122.607 + 212.361i 0.0156178 + 0.0270508i
\(396\) 373.499 297.296i 0.0473965 0.0377264i
\(397\) 5613.15 + 3240.75i 0.709611 + 0.409694i 0.810917 0.585161i \(-0.198969\pi\)
−0.101306 + 0.994855i \(0.532302\pi\)
\(398\) −3236.20 + 5605.26i −0.407577 + 0.705945i
\(399\) 8785.11 3395.28i 1.10227 0.426006i
\(400\) 5797.65 + 10041.8i 0.724706 + 1.25523i
\(401\) 1709.94i 0.212944i 0.994316 + 0.106472i \(0.0339554\pi\)
−0.994316 + 0.106472i \(0.966045\pi\)
\(402\) −2585.23 3795.57i −0.320745 0.470910i
\(403\) −1925.85 −0.238048
\(404\) −211.225 + 365.852i −0.0260120 + 0.0450540i
\(405\) −9181.99 8551.02i −1.12656 1.04915i
\(406\) −843.229 + 255.728i −0.103076 + 0.0312601i
\(407\) −28.6141 16.5203i −0.00348488 0.00201200i
\(408\) −6332.12 + 13133.4i −0.768350 + 1.59363i
\(409\) −5376.61 3104.19i −0.650016 0.375287i 0.138447 0.990370i \(-0.455789\pi\)
−0.788462 + 0.615083i \(0.789122\pi\)
\(410\) −20118.8 11615.6i −2.42341 1.39916i
\(411\) 254.404 + 373.510i 0.0305324 + 0.0448269i
\(412\) 18.3114 + 10.5721i 0.00218966 + 0.00126420i
\(413\) −380.519 + 1631.46i −0.0453369 + 0.194380i
\(414\) −1989.60 + 298.019i −0.236192 + 0.0353788i
\(415\) −2163.27 + 3746.89i −0.255881 + 0.443199i
\(416\) −232.493 −0.0274012
\(417\) 647.259 1342.47i 0.0760105 0.157653i
\(418\) 10181.5i 1.19138i
\(419\) −5926.05 10264.2i −0.690946 1.19675i −0.971528 0.236924i \(-0.923861\pi\)
0.280582 0.959830i \(-0.409473\pi\)
\(420\) 295.776 + 765.306i 0.0343629 + 0.0889121i
\(421\) −218.101 + 377.763i −0.0252485 + 0.0437317i −0.878374 0.477975i \(-0.841371\pi\)
0.853125 + 0.521706i \(0.174704\pi\)
\(422\) 5671.04 + 3274.17i 0.654175 + 0.377688i
\(423\) −7676.65 + 1149.87i −0.882391 + 0.132172i
\(424\) −4228.24 7323.52i −0.484296 0.838825i
\(425\) −10982.7 19022.7i −1.25351 2.17114i
\(426\) −4801.66 2315.07i −0.546106 0.263299i
\(427\) 1765.52 1884.77i 0.200092 0.213607i
\(428\) 356.133 205.614i 0.0402205 0.0232213i
\(429\) 1735.03 + 836.527i 0.195264 + 0.0941443i
\(430\) 4339.01i 0.486617i
\(431\) 10890.9 6287.86i 1.21716 0.702728i 0.252850 0.967505i \(-0.418632\pi\)
0.964309 + 0.264778i \(0.0852986\pi\)
\(432\) −6973.24 + 6452.40i −0.776621 + 0.718614i
\(433\) 15488.3i 1.71898i −0.511149 0.859492i \(-0.670780\pi\)
0.511149 0.859492i \(-0.329220\pi\)
\(434\) 9578.92 2905.02i 1.05945 0.321303i
\(435\) 1455.83 108.428i 0.160463 0.0119511i
\(436\) 683.020 0.0750246
\(437\) −1250.97 + 2166.74i −0.136938 + 0.237184i
\(438\) 989.355 + 13283.7i 0.107930 + 1.44913i
\(439\) −10844.1 + 6260.84i −1.17895 + 0.680669i −0.955772 0.294108i \(-0.904977\pi\)
−0.223181 + 0.974777i \(0.571644\pi\)
\(440\) −13437.2 −1.45590
\(441\) −1966.74 9049.75i −0.212368 0.977190i
\(442\) 3883.18 0.417883
\(443\) 705.907 407.556i 0.0757080 0.0437100i −0.461668 0.887053i \(-0.652749\pi\)
0.537376 + 0.843343i \(0.319416\pi\)
\(444\) −2.14630 1.03482i −0.000229412 0.000110609i
\(445\) −8703.05 + 15074.1i −0.927111 + 1.60580i
\(446\) 12226.9 1.29812
\(447\) 5911.39 + 8678.96i 0.625502 + 0.918347i
\(448\) −8444.95 + 2561.12i −0.890594 + 0.270093i
\(449\) 5276.20i 0.554565i 0.960788 + 0.277282i \(0.0894337\pi\)
−0.960788 + 0.277282i \(0.910566\pi\)
\(450\) −1996.16 13326.5i −0.209111 1.39604i
\(451\) 14314.4 8264.40i 1.49454 0.862872i
\(452\) 758.251i 0.0789052i
\(453\) 8241.58 5613.48i 0.854797 0.582217i
\(454\) −5909.15 + 3411.65i −0.610860 + 0.352680i
\(455\) −2263.22 + 2416.09i −0.233190 + 0.248941i
\(456\) 826.192 + 11093.0i 0.0848465 + 1.13921i
\(457\) 4560.82 + 7899.58i 0.466841 + 0.808592i 0.999283 0.0378745i \(-0.0120587\pi\)
−0.532442 + 0.846467i \(0.678725\pi\)
\(458\) 4460.52 + 7725.85i 0.455080 + 0.788221i
\(459\) 13209.7 12223.1i 1.34331 1.24297i
\(460\) −188.754 108.977i −0.0191319 0.0110458i
\(461\) −420.112 + 727.655i −0.0424437 + 0.0735147i −0.886467 0.462792i \(-0.846848\pi\)
0.844023 + 0.536307i \(0.180181\pi\)
\(462\) −9891.68 1543.59i −0.996109 0.155442i
\(463\) −1889.21 3272.21i −0.189631 0.328450i 0.755496 0.655153i \(-0.227396\pi\)
−0.945127 + 0.326703i \(0.894062\pi\)
\(464\) 1105.39i 0.110596i
\(465\) −16537.9 + 1231.72i −1.64930 + 0.122838i
\(466\) 7408.47 0.736461
\(467\) 3197.40 5538.05i 0.316826 0.548759i −0.662998 0.748621i \(-0.730716\pi\)
0.979824 + 0.199862i \(0.0640495\pi\)
\(468\) 129.257 + 50.8666i 0.0127669 + 0.00502417i
\(469\) −1275.58 + 5468.99i −0.125588 + 0.538453i
\(470\) −12490.0 7211.10i −1.22579 0.707709i
\(471\) −4691.36 + 349.406i −0.458952 + 0.0341821i
\(472\) −1713.50 989.288i −0.167098 0.0964739i
\(473\) −2673.56 1543.58i −0.259895 0.150051i
\(474\) −215.180 + 16.0263i −0.0208513 + 0.00155298i
\(475\) −14513.1 8379.12i −1.40191 0.809390i
\(476\) −1126.22 + 341.551i −0.108445 + 0.0328886i
\(477\) 1546.29 + 10323.2i 0.148428 + 0.990916i
\(478\) −2597.10 + 4498.30i −0.248511 + 0.430434i
\(479\) −17221.8 −1.64276 −0.821382 0.570379i \(-0.806797\pi\)
−0.821382 + 0.570379i \(0.806797\pi\)
\(480\) −1996.50 + 148.696i −0.189848 + 0.0141397i
\(481\) 9.61416i 0.000911368i
\(482\) 2346.85 + 4064.86i 0.221776 + 0.384127i
\(483\) 1915.40 + 1543.85i 0.180443 + 0.145440i
\(484\) 14.1324 24.4781i 0.00132724 0.00229884i
\(485\) 19375.9 + 11186.7i 1.81405 + 1.04734i
\(486\) 10286.8 4010.09i 0.960121 0.374282i
\(487\) 1435.74 + 2486.77i 0.133592 + 0.231389i 0.925059 0.379824i \(-0.124015\pi\)
−0.791466 + 0.611213i \(0.790682\pi\)
\(488\) 1525.06 + 2641.48i 0.141468 + 0.245029i
\(489\) 868.035 + 11654.8i 0.0802738 + 1.07781i
\(490\) 7612.45 15431.3i 0.701828 1.42268i
\(491\) −4900.34 + 2829.21i −0.450406 + 0.260042i −0.708002 0.706211i \(-0.750403\pi\)
0.257596 + 0.966253i \(0.417070\pi\)
\(492\) 985.168 671.015i 0.0902740 0.0614872i
\(493\) 2093.99i 0.191295i
\(494\) 2565.70 1481.31i 0.233677 0.134913i
\(495\) 15434.3 + 6073.86i 1.40146 + 0.551514i
\(496\) 12557.0i 1.13674i
\(497\) 1891.82 + 6238.01i 0.170744 + 0.563004i
\(498\) −2143.19 3146.58i −0.192849 0.283136i
\(499\) −18601.4 −1.66876 −0.834380 0.551190i \(-0.814174\pi\)
−0.834380 + 0.551190i \(0.814174\pi\)
\(500\) 197.075 341.345i 0.0176270 0.0305308i
\(501\) −10273.5 4953.28i −0.916144 0.441709i
\(502\) −1522.35 + 878.930i −0.135350 + 0.0781445i
\(503\) −14649.8 −1.29862 −0.649308 0.760526i \(-0.724941\pi\)
−0.649308 + 0.760526i \(0.724941\pi\)
\(504\) 10902.5 + 879.101i 0.963559 + 0.0776950i
\(505\) −14678.1 −1.29340
\(506\) 2303.17 1329.73i 0.202348 0.116826i
\(507\) −806.268 10825.5i −0.0706265 0.948278i
\(508\) 26.3279 45.6012i 0.00229943 0.00398273i
\(509\) −2629.20 −0.228953 −0.114477 0.993426i \(-0.536519\pi\)
−0.114477 + 0.993426i \(0.536519\pi\)
\(510\) 33346.2 2483.58i 2.89529 0.215637i
\(511\) 11135.9 11888.0i 0.964035 1.02915i
\(512\) 10333.9i 0.891989i
\(513\) 4065.24 13115.1i 0.349873 1.12875i
\(514\) −3372.76 + 1947.27i −0.289428 + 0.167102i
\(515\) 734.659i 0.0628601i
\(516\) −200.540 96.6882i −0.0171091 0.00824896i
\(517\) 8886.51 5130.63i 0.755954 0.436450i
\(518\) 14.5024 + 47.8196i 0.00123011 + 0.00405613i
\(519\) 12648.5 + 6098.35i 1.06977 + 0.515776i
\(520\) −1954.98 3386.13i −0.164868 0.285560i
\(521\) 8915.56 + 15442.2i 0.749708 + 1.29853i 0.947963 + 0.318382i \(0.103139\pi\)
−0.198255 + 0.980151i \(0.563527\pi\)
\(522\) −470.414 + 1195.37i −0.0394434 + 0.100230i
\(523\) −18929.9 10929.2i −1.58269 0.913766i −0.994465 0.105068i \(-0.966494\pi\)
−0.588224 0.808698i \(-0.700173\pi\)
\(524\) −6.75761 + 11.7045i −0.000563373 + 0.000975791i
\(525\) −10340.9 + 12829.6i −0.859642 + 1.06653i
\(526\) 8386.42 + 14525.7i 0.695181 + 1.20409i
\(527\) 23787.3i 1.96621i
\(528\) 5454.36 11312.8i 0.449566 0.932439i
\(529\) 11513.5 0.946288
\(530\) −9697.16 + 16796.0i −0.794750 + 1.37655i
\(531\) 1520.99 + 1910.85i 0.124304 + 0.156165i
\(532\) −613.824 + 655.285i −0.0500238 + 0.0534026i
\(533\) 4165.18 + 2404.77i 0.338488 + 0.195426i
\(534\) −8622.29 12659.0i −0.698732 1.02586i
\(535\) 12373.9 + 7144.08i 0.999945 + 0.577319i
\(536\) −5744.00 3316.30i −0.462878 0.267243i
\(537\) −914.885 + 1897.55i −0.0735199 + 0.152487i
\(538\) −4677.01 2700.27i −0.374796 0.216388i
\(539\) 6800.17 + 10180.2i 0.543421 + 0.813526i
\(540\) 1142.51 + 354.139i 0.0910478 + 0.0282217i
\(541\) −5561.14 + 9632.17i −0.441944 + 0.765470i −0.997834 0.0657862i \(-0.979044\pi\)
0.555889 + 0.831256i \(0.312378\pi\)
\(542\) −21738.7 −1.72280
\(543\) −8845.03 12986.1i −0.699036 1.02631i
\(544\) 2871.66i 0.226326i
\(545\) 11865.8 + 20552.2i 0.932615 + 1.61534i
\(546\) −1050.16 2717.24i −0.0823126 0.212980i
\(547\) 7533.25 13048.0i 0.588845 1.01991i −0.405539 0.914078i \(-0.632916\pi\)
0.994384 0.105832i \(-0.0337506\pi\)
\(548\) −37.3104 21.5412i −0.00290843 0.00167919i
\(549\) −557.724 3723.42i −0.0433572 0.289456i
\(550\) 8906.69 + 15426.8i 0.690514 + 1.19600i
\(551\) 798.788 + 1383.54i 0.0617596 + 0.106971i
\(552\) −2401.45 + 1635.67i −0.185167 + 0.126121i
\(553\) 192.571 + 180.387i 0.0148083 + 0.0138713i
\(554\) 3458.16 1996.57i 0.265204 0.153116i
\(555\) −6.14896 82.5601i −0.000470287 0.00631438i
\(556\) 142.079i 0.0108372i
\(557\) 6994.00 4037.99i 0.532038 0.307172i −0.209808 0.977743i \(-0.567284\pi\)
0.741846 + 0.670570i \(0.233951\pi\)
\(558\) 5343.81 13579.2i 0.405415 1.03020i
\(559\) 898.300i 0.0679679i
\(560\) 15753.5 + 14756.8i 1.18876 + 1.11355i
\(561\) −10332.4 + 21430.4i −0.777605 + 1.61282i
\(562\) −12029.7 −0.902920
\(563\) 4491.15 7778.89i 0.336198 0.582311i −0.647517 0.762051i \(-0.724192\pi\)
0.983714 + 0.179740i \(0.0575257\pi\)
\(564\) 611.603 416.574i 0.0456616 0.0311009i
\(565\) 22815.9 13172.8i 1.69889 0.980855i
\(566\) −5543.18 −0.411656
\(567\) −12125.4 5937.85i −0.898096 0.439799i
\(568\) −7698.85 −0.568726
\(569\) 9591.95 5537.92i 0.706706 0.408017i −0.103134 0.994667i \(-0.532887\pi\)
0.809840 + 0.586651i \(0.199554\pi\)
\(570\) 21085.1 14361.5i 1.54940 1.05532i
\(571\) 11164.3 19337.1i 0.818233 1.41722i −0.0887498 0.996054i \(-0.528287\pi\)
0.906983 0.421167i \(-0.138380\pi\)
\(572\) −183.625 −0.0134226
\(573\) 2320.89 4813.73i 0.169209 0.350953i
\(574\) −24344.5 5678.09i −1.77025 0.412890i
\(575\) 4377.33i 0.317474i
\(576\) −4711.20 + 11971.7i −0.340798 + 0.866005i
\(577\) 2753.56 1589.77i 0.198669 0.114702i −0.397365 0.917660i \(-0.630075\pi\)
0.596035 + 0.802959i \(0.296742\pi\)
\(578\) 33643.7i 2.42110i
\(579\) 1583.11 + 21255.9i 0.113630 + 1.52567i
\(580\) −120.526 + 69.5856i −0.00862855 + 0.00498170i
\(581\) −1057.47 + 4533.87i −0.0755102 + 0.323747i
\(582\) −16271.6 + 11082.9i −1.15890 + 0.789346i
\(583\) −6899.43 11950.2i −0.490129 0.848929i
\(584\) 9619.21 + 16661.0i 0.681585 + 1.18054i
\(585\) 714.949 + 4773.06i 0.0505291 + 0.337337i
\(586\) 19990.4 + 11541.5i 1.40921 + 0.813606i
\(587\) 9230.28 15987.3i 0.649019 1.12413i −0.334338 0.942453i \(-0.608513\pi\)
0.983357 0.181681i \(-0.0581540\pi\)
\(588\) 543.570 + 695.695i 0.0381232 + 0.0487925i
\(589\) −9074.08 15716.8i −0.634789 1.09949i
\(590\) 4537.72i 0.316636i
\(591\) −2355.70 3458.58i −0.163960 0.240723i
\(592\) −62.6867 −0.00435204
\(593\) 4842.31 8387.12i 0.335328 0.580806i −0.648220 0.761453i \(-0.724486\pi\)
0.983548 + 0.180648i \(0.0578194\pi\)
\(594\) −10712.7 + 9912.56i −0.739979 + 0.684709i
\(595\) −29842.6 27954.4i −2.05618 1.92608i
\(596\) −866.954 500.536i −0.0595836 0.0344006i
\(597\) 5011.21 10393.7i 0.343543 0.712538i
\(598\) 670.174 + 386.925i 0.0458285 + 0.0264591i
\(599\) −3303.93 1907.53i −0.225367 0.130116i 0.383066 0.923721i \(-0.374868\pi\)
−0.608433 + 0.793605i \(0.708202\pi\)
\(600\) −10955.9 16085.1i −0.745452 1.09445i
\(601\) 7609.28 + 4393.22i 0.516454 + 0.298175i 0.735483 0.677544i \(-0.236955\pi\)
−0.219029 + 0.975718i \(0.570289\pi\)
\(602\) 1355.03 + 4468.03i 0.0917392 + 0.302497i
\(603\) 5098.66 + 6405.56i 0.344334 + 0.432594i
\(604\) −475.311 + 823.263i −0.0320201 + 0.0554604i
\(605\) 982.066 0.0659944
\(606\) 5609.37 11634.3i 0.376015 0.779888i
\(607\) 11742.5i 0.785194i 0.919711 + 0.392597i \(0.128423\pi\)
−0.919711 + 0.392597i \(0.871577\pi\)
\(608\) −1095.45 1897.37i −0.0730694 0.126560i
\(609\) 1465.26 566.293i 0.0974961 0.0376804i
\(610\) 3497.61 6058.04i 0.232154 0.402103i
\(611\) 2585.79 + 1492.91i 0.171211 + 0.0988487i
\(612\) −628.284 + 1596.54i −0.0414982 + 0.105451i
\(613\) 9443.86 + 16357.2i 0.622241 + 1.07775i 0.989067 + 0.147464i \(0.0471110\pi\)
−0.366826 + 0.930289i \(0.619556\pi\)
\(614\) −2492.03 4316.33i −0.163795 0.283702i
\(615\) 37305.9 + 17986.6i 2.44604 + 1.17933i
\(616\) −13836.8 + 4196.33i −0.905035 + 0.274472i
\(617\) −10726.8 + 6193.11i −0.699909 + 0.404093i −0.807314 0.590123i \(-0.799079\pi\)
0.107404 + 0.994215i \(0.465746\pi\)
\(618\) −582.315 280.757i −0.0379031 0.0182746i
\(619\) 2663.48i 0.172947i 0.996254 + 0.0864735i \(0.0275598\pi\)
−0.996254 + 0.0864735i \(0.972440\pi\)
\(620\) 1369.15 790.479i 0.0886877 0.0512038i
\(621\) 3497.70 793.269i 0.226019 0.0512605i
\(622\) 30212.9i 1.94763i
\(623\) −4254.33 + 18240.3i −0.273590 + 1.17300i
\(624\) 3644.34 271.425i 0.233798 0.0174130i
\(625\) −7708.96 −0.493374
\(626\) −11929.2 + 20662.0i −0.761642 + 1.31920i
\(627\) 1348.14 + 18101.0i 0.0858685 + 1.15293i
\(628\) 388.391 224.238i 0.0246791 0.0142485i
\(629\) 118.750 0.00752764
\(630\) −10756.0 22662.2i −0.680202 1.43315i
\(631\) 20380.6 1.28580 0.642898 0.765952i \(-0.277732\pi\)
0.642898 + 0.765952i \(0.277732\pi\)
\(632\) −269.887 + 155.819i −0.0169866 + 0.00980720i
\(633\) −10515.7 5070.02i −0.660284 0.318349i
\(634\) 5244.30 9083.40i 0.328514 0.569003i
\(635\) 1829.53 0.114335
\(636\) −560.189 822.456i −0.0349260 0.0512775i
\(637\) −1576.00 + 3194.72i −0.0980272 + 0.198712i
\(638\) 1698.16i 0.105378i
\(639\) 8843.07 + 3480.01i 0.547459 + 0.215441i
\(640\) −23370.4 + 13492.9i −1.44343 + 0.833366i
\(641\) 20778.8i 1.28036i −0.768224 0.640181i \(-0.778859\pi\)
0.768224 0.640181i \(-0.221141\pi\)
\(642\) −10391.4 + 7077.78i −0.638812 + 0.435106i
\(643\) −6344.01 + 3662.72i −0.389088 + 0.224640i −0.681765 0.731572i \(-0.738787\pi\)
0.292677 + 0.956211i \(0.405454\pi\)
\(644\) −228.399 53.2714i −0.0139754 0.00325961i
\(645\) −574.529 7714.01i −0.0350730 0.470913i
\(646\) 18296.5 + 31690.5i 1.11435 + 1.93010i
\(647\) 5424.13 + 9394.87i 0.329590 + 0.570866i 0.982430 0.186629i \(-0.0597562\pi\)
−0.652841 + 0.757495i \(0.726423\pi\)
\(648\) 10867.4 11669.2i 0.658812 0.707425i
\(649\) −2796.00 1614.27i −0.169110 0.0976359i
\(650\) −2591.66 + 4488.89i −0.156390 + 0.270875i
\(651\) −16645.0 + 6432.98i −1.00210 + 0.387294i
\(652\) −557.077 964.885i −0.0334614 0.0579568i
\(653\) 11896.6i 0.712941i −0.934307 0.356470i \(-0.883980\pi\)
0.934307 0.356470i \(-0.116020\pi\)
\(654\) −20825.0 + 1551.02i −1.24514 + 0.0927362i
\(655\) −469.588 −0.0280127
\(656\) 15679.7 27158.0i 0.933215 1.61638i
\(657\) −3517.80 23485.2i −0.208893 1.39459i
\(658\) −15113.4 3525.02i −0.895411 0.208844i
\(659\) −24001.0 13857.0i −1.41874 0.819108i −0.422549 0.906340i \(-0.638865\pi\)
−0.996188 + 0.0872319i \(0.972198\pi\)
\(660\) −1576.85 + 117.442i −0.0929983 + 0.00692639i
\(661\) 24782.6 + 14308.3i 1.45829 + 0.841947i 0.998928 0.0462996i \(-0.0147429\pi\)
0.459367 + 0.888246i \(0.348076\pi\)
\(662\) −20157.3 11637.8i −1.18344 0.683259i
\(663\) −6903.63 + 514.174i −0.404397 + 0.0301189i
\(664\) −4761.86 2749.26i −0.278307 0.160681i
\(665\) −30381.3 7086.10i −1.77164 0.413214i
\(666\) 67.7897 + 26.6772i 0.00394414 + 0.00155213i
\(667\) −208.647 + 361.388i −0.0121122 + 0.0209790i
\(668\) 1087.29 0.0629768
\(669\) −21737.4 + 1618.97i −1.25623 + 0.0935622i
\(670\) 15211.4i 0.877114i
\(671\) 2488.52 + 4310.24i 0.143172 + 0.247981i
\(672\) −2009.43 + 776.606i −0.115350 + 0.0445807i
\(673\) −3408.12 + 5903.03i −0.195205 + 0.338106i −0.946968 0.321328i \(-0.895871\pi\)
0.751762 + 0.659434i \(0.229204\pi\)
\(674\) −24020.3 13868.1i −1.37274 0.792553i
\(675\) 5313.40 + 23428.0i 0.302982 + 1.33592i
\(676\) 517.437 + 896.227i 0.0294400 + 0.0509915i
\(677\) −2806.77 4861.47i −0.159340 0.275984i 0.775291 0.631604i \(-0.217603\pi\)
−0.934631 + 0.355620i \(0.884270\pi\)
\(678\) 1721.85 + 23118.7i 0.0975330 + 1.30954i
\(679\) 23445.5 + 5468.41i 1.32512 + 0.309069i
\(680\) 41824.1 24147.1i 2.35865 1.36177i
\(681\) 10053.7 6847.76i 0.565726 0.385326i
\(682\) 19290.8i 1.08311i
\(683\) −8374.35 + 4834.94i −0.469159 + 0.270869i −0.715888 0.698215i \(-0.753978\pi\)
0.246728 + 0.969085i \(0.420644\pi\)
\(684\) 193.906 + 1294.54i 0.0108395 + 0.0723652i
\(685\) 1496.90i 0.0834945i
\(686\) 3019.77 18267.4i 0.168069 1.01670i
\(687\) −8953.02 13144.6i −0.497204 0.729983i
\(688\) −5857.14 −0.324566
\(689\) 2007.59 3477.25i 0.111006 0.192268i
\(690\) 6002.48 + 2894.03i 0.331174 + 0.159672i
\(691\) 3737.34 2157.76i 0.205753 0.118792i −0.393583 0.919289i \(-0.628765\pi\)
0.599336 + 0.800497i \(0.295431\pi\)
\(692\) −1338.64 −0.0735370
\(693\) 17790.1 + 1434.47i 0.975166 + 0.0786308i
\(694\) 22835.5 1.24903
\(695\) −4275.18 + 2468.28i −0.233334 + 0.134715i
\(696\) 137.799 + 1850.19i 0.00750470 + 0.100763i
\(697\) −29702.8 + 51446.7i −1.61416 + 2.79581i
\(698\) 17256.7 0.935780
\(699\) −13171.0 + 980.957i −0.712693 + 0.0530804i
\(700\) 356.818 1529.84i 0.0192663 0.0826035i
\(701\) 22520.8i 1.21341i −0.794929 0.606703i \(-0.792492\pi\)
0.794929 0.606703i \(-0.207508\pi\)
\(702\) −4056.51 1257.38i −0.218096 0.0676022i
\(703\) 78.4608 45.2994i 0.00420940 0.00243030i
\(704\) 17007.1i 0.910483i
\(705\) 23159.9 + 11166.3i 1.23724 + 0.596521i
\(706\) 11593.0 6693.21i 0.618000 0.356802i
\(707\) −15114.6 + 4583.83i −0.804019 + 0.243837i
\(708\) −209.724 101.116i −0.0111327 0.00536749i
\(709\) 1407.50 + 2437.87i 0.0745556 + 0.129134i 0.900893 0.434041i \(-0.142913\pi\)
−0.826337 + 0.563175i \(0.809579\pi\)
\(710\) 8828.37 + 15291.2i 0.466652 + 0.808265i
\(711\) 380.431 56.9841i 0.0200665 0.00300572i
\(712\) −19157.5 11060.6i −1.00837 0.582180i
\(713\) 2370.19 4105.29i 0.124494 0.215630i
\(714\) 33562.2 12971.2i 1.75915 0.679879i
\(715\) −3190.04 5525.31i −0.166854 0.289000i
\(716\) 200.826i 0.0104821i
\(717\) 4021.57 8341.09i 0.209468 0.434455i
\(718\) −33757.7 −1.75463
\(719\) −5377.34 + 9313.82i −0.278916 + 0.483097i −0.971116 0.238609i \(-0.923309\pi\)
0.692199 + 0.721706i \(0.256642\pi\)
\(720\) 31121.6 4661.64i 1.61088 0.241291i
\(721\) 229.428 + 756.505i 0.0118507 + 0.0390759i
\(722\) 6864.42 + 3963.17i 0.353833 + 0.204285i
\(723\) −4710.52 6915.87i −0.242304 0.355745i
\(724\) 1297.20 + 748.936i 0.0665883 + 0.0384447i
\(725\) −2420.61 1397.54i −0.123999 0.0715908i
\(726\) −375.306 + 778.417i −0.0191858 + 0.0397931i
\(727\) 5477.81 + 3162.62i 0.279451 + 0.161341i 0.633175 0.774009i \(-0.281751\pi\)
−0.353724 + 0.935350i \(0.615085\pi\)
\(728\) −3070.57 2876.29i −0.156323 0.146432i
\(729\) −17757.2 + 8491.33i −0.902159 + 0.431404i
\(730\) 22060.9 38210.7i 1.11851 1.93732i
\(731\) 11095.4 0.561395
\(732\) 202.051 + 296.647i 0.0102022 + 0.0149787i
\(733\) 14798.7i 0.745706i −0.927890 0.372853i \(-0.878380\pi\)
0.927890 0.372853i \(-0.121620\pi\)
\(734\) 6772.48 + 11730.3i 0.340568 + 0.589881i
\(735\) −11490.4 + 28442.1i −0.576638 + 1.42735i
\(736\) 286.136 495.602i 0.0143303 0.0248208i
\(737\) −9372.77 5411.37i −0.468454 0.270462i
\(738\) −28513.6 + 22696.1i −1.42222 + 1.13205i
\(739\) 12825.4 + 22214.3i 0.638418 + 1.10577i 0.985780 + 0.168041i \(0.0537441\pi\)
−0.347362 + 0.937731i \(0.612923\pi\)
\(740\) 3.94621 + 6.83503i 0.000196034 + 0.000339542i
\(741\) −4365.24 + 2973.24i −0.216412 + 0.147402i
\(742\) −4740.28 + 20323.8i −0.234530 + 1.00554i
\(743\) −30440.0 + 17574.5i −1.50301 + 0.867761i −0.503012 + 0.864279i \(0.667775\pi\)
−0.999994 + 0.00348188i \(0.998892\pi\)
\(744\) −1565.37 21017.7i −0.0771363 1.03568i
\(745\) 34782.4i 1.71051i
\(746\) 33503.2 19343.1i 1.64429 0.949331i
\(747\) 4226.87 + 5310.30i 0.207032 + 0.260099i
\(748\) 2268.07i 0.110867i
\(749\) 14972.9 + 3492.26i 0.730438 + 0.170366i
\(750\) −5233.61 + 10855.0i −0.254806 + 0.528490i
\(751\) −15906.4 −0.772881 −0.386440 0.922314i \(-0.626295\pi\)
−0.386440 + 0.922314i \(0.626295\pi\)
\(752\) 9734.13 16860.0i 0.472031 0.817581i
\(753\) 2590.10 1764.16i 0.125350 0.0853780i
\(754\) 427.929 247.065i 0.0206688 0.0119331i
\(755\) −33029.5 −1.59214
\(756\) 1287.08 + 7.87423i 0.0619188 + 0.000378814i
\(757\) 8886.22 0.426651 0.213326 0.976981i \(-0.431570\pi\)
0.213326 + 0.976981i \(0.431570\pi\)
\(758\) 29837.4 17226.6i 1.42974 0.825461i
\(759\) −3918.56 + 2669.00i −0.187398 + 0.127640i
\(760\) 18422.7 31909.1i 0.879292 1.52298i
\(761\) 6896.64 0.328519 0.164259 0.986417i \(-0.447477\pi\)
0.164259 + 0.986417i \(0.447477\pi\)
\(762\) −699.172 + 1450.14i −0.0332393 + 0.0689412i
\(763\) 18636.9 + 17457.7i 0.884275 + 0.828326i
\(764\) 509.456i 0.0241249i
\(765\) −58955.0 + 8830.77i −2.78630 + 0.417356i
\(766\) 11688.5 6748.35i 0.551335 0.318313i
\(767\) 939.440i 0.0442258i
\(768\) −292.544 3927.88i −0.0137451 0.184551i
\(769\) 23996.6 13854.4i 1.12528 0.649680i 0.182536 0.983199i \(-0.441569\pi\)
0.942743 + 0.333519i \(0.108236\pi\)
\(770\) 24201.5 + 22670.2i 1.13268 + 1.06101i
\(771\) 5738.36 3908.49i 0.268044 0.182569i
\(772\) −1015.99 1759.74i −0.0473656 0.0820396i
\(773\) −17922.3 31042.4i −0.833921 1.44439i