Properties

Label 43.6.g.a.9.14
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.14
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.14

$q$-expansion

\(f(q)\) \(=\) \(q+(3.93041 + 4.92858i) q^{2} +(-23.5623 - 3.55144i) q^{3} +(-1.72210 + 7.54503i) q^{4} +(6.81244 + 4.64464i) q^{5} +(-75.1059 - 130.087i) q^{6} +(57.5727 - 99.7189i) q^{7} +(137.793 - 66.3574i) q^{8} +(310.364 + 95.7346i) q^{9} +O(q^{10})\) \(q+(3.93041 + 4.92858i) q^{2} +(-23.5623 - 3.55144i) q^{3} +(-1.72210 + 7.54503i) q^{4} +(6.81244 + 4.64464i) q^{5} +(-75.1059 - 130.087i) q^{6} +(57.5727 - 99.7189i) q^{7} +(137.793 - 66.3574i) q^{8} +(310.364 + 95.7346i) q^{9} +(3.88420 + 51.8310i) q^{10} +(-91.0818 - 399.056i) q^{11} +(67.3725 - 171.662i) q^{12} +(59.3380 - 791.811i) q^{13} +(717.757 - 108.185i) q^{14} +(-144.021 - 133.632i) q^{15} +(1091.76 + 525.762i) q^{16} +(-1375.34 + 937.693i) q^{17} +(748.023 + 1905.93i) q^{18} +(-485.693 + 149.816i) q^{19} +(-46.7757 + 43.4015i) q^{20} +(-1710.69 + 2145.14i) q^{21} +(1608.79 - 2017.36i) q^{22} +(1972.01 - 1829.76i) q^{23} +(-3482.37 + 1074.17i) q^{24} +(-1116.85 - 2845.70i) q^{25} +(4135.73 - 2819.69i) q^{26} +(-1756.00 - 845.645i) q^{27} +(653.236 + 606.115i) q^{28} +(-3788.00 + 570.949i) q^{29} +(92.5543 - 1235.05i) q^{30} +(1518.21 - 3868.33i) q^{31} +(610.767 + 2675.94i) q^{32} +(728.873 + 9726.13i) q^{33} +(-10027.2 - 3092.97i) q^{34} +(855.369 - 411.924i) q^{35} +(-1256.80 + 2176.84i) q^{36} +(3301.60 + 5718.54i) q^{37} +(-2647.35 - 1804.94i) q^{38} +(-4210.21 + 18446.1i) q^{39} +(1246.91 + 187.941i) q^{40} +(3211.07 + 4026.56i) q^{41} -17296.2 q^{42} +(7967.55 - 9139.29i) q^{43} +3167.74 q^{44} +(1669.68 + 2093.71i) q^{45} +(16769.0 + 2527.51i) q^{46} +(-3639.13 + 15944.1i) q^{47} +(-23857.0 - 16265.4i) q^{48} +(1774.26 + 3073.11i) q^{49} +(9635.56 - 16689.3i) q^{50} +(35736.4 - 17209.7i) q^{51} +(5872.06 + 1811.29i) q^{52} +(587.947 + 7845.60i) q^{53} +(-2733.97 - 11978.3i) q^{54} +(1232.98 - 3141.58i) q^{55} +(1316.01 - 17560.9i) q^{56} +(11976.1 - 1805.10i) q^{57} +(-17702.4 - 16425.4i) q^{58} +(4659.22 + 2243.76i) q^{59} +(1256.28 - 856.517i) q^{60} +(-12098.7 - 30827.1i) q^{61} +(25032.6 - 7721.53i) q^{62} +(27415.1 - 25437.5i) q^{63} +(13388.5 - 16788.7i) q^{64} +(4081.91 - 5118.56i) q^{65} +(-45071.3 + 41820.0i) q^{66} +(-34831.3 + 10744.0i) q^{67} +(-4706.44 - 11991.8i) q^{68} +(-52963.4 + 36109.8i) q^{69} +(5392.16 + 2596.73i) q^{70} +(44265.2 + 41072.1i) q^{71} +(49118.6 - 7403.43i) q^{72} +(-1436.59 + 19170.0i) q^{73} +(-15207.6 + 38748.4i) q^{74} +(16209.3 + 71017.6i) q^{75} +(-293.956 - 3922.57i) q^{76} +(-45037.2 - 13892.1i) q^{77} +(-107461. + 51750.6i) q^{78} +(51023.0 - 88374.3i) q^{79} +(4995.54 + 8652.53i) q^{80} +(-26838.7 - 18298.3i) q^{81} +(-7224.38 + 31652.1i) q^{82} +(35785.9 + 5393.86i) q^{83} +(-13239.2 - 16601.4i) q^{84} -13724.7 q^{85} +(76359.5 + 3347.58i) q^{86} +91281.6 q^{87} +(-39030.7 - 48943.0i) q^{88} +(6107.93 + 920.623i) q^{89} +(-3756.51 + 16458.3i) q^{90} +(-75542.3 - 51503.9i) q^{91} +(10409.6 + 18029.9i) q^{92} +(-49510.6 + 85754.9i) q^{93} +(-92885.0 + 44731.1i) q^{94} +(-4004.59 - 1235.25i) q^{95} +(-4887.60 - 65220.4i) q^{96} +(34895.4 + 152887. i) q^{97} +(-8172.49 + 20823.2i) q^{98} +(9934.91 - 132572. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 3.93041 + 4.92858i 0.694805 + 0.871258i 0.996624 0.0821071i \(-0.0261649\pi\)
−0.301818 + 0.953366i \(0.597594\pi\)
\(3\) −23.5623 3.55144i −1.51152 0.227825i −0.659648 0.751574i \(-0.729295\pi\)
−0.851872 + 0.523749i \(0.824533\pi\)
\(4\) −1.72210 + 7.54503i −0.0538158 + 0.235782i
\(5\) 6.81244 + 4.64464i 0.121865 + 0.0830859i 0.622718 0.782446i \(-0.286028\pi\)
−0.500854 + 0.865532i \(0.666981\pi\)
\(6\) −75.1059 130.087i −0.851718 1.47522i
\(7\) 57.5727 99.7189i 0.444091 0.769188i −0.553898 0.832585i \(-0.686860\pi\)
0.997988 + 0.0633970i \(0.0201934\pi\)
\(8\) 137.793 66.3574i 0.761204 0.366577i
\(9\) 310.364 + 95.7346i 1.27722 + 0.393970i
\(10\) 3.88420 + 51.8310i 0.0122829 + 0.163904i
\(11\) −91.0818 399.056i −0.226960 0.994378i −0.952103 0.305779i \(-0.901083\pi\)
0.725142 0.688599i \(-0.241774\pi\)
\(12\) 67.3725 171.662i 0.135061 0.344129i
\(13\) 59.3380 791.811i 0.0973811 1.29946i −0.707792 0.706421i \(-0.750309\pi\)
0.805173 0.593040i \(-0.202072\pi\)
\(14\) 717.757 108.185i 0.978718 0.147518i
\(15\) −144.021 133.632i −0.165272 0.153350i
\(16\) 1091.76 + 525.762i 1.06617 + 0.513439i
\(17\) −1375.34 + 937.693i −1.15422 + 0.786934i −0.980239 0.197815i \(-0.936615\pi\)
−0.173981 + 0.984749i \(0.555663\pi\)
\(18\) 748.023 + 1905.93i 0.544169 + 1.38652i
\(19\) −485.693 + 149.816i −0.308658 + 0.0952084i −0.445215 0.895424i \(-0.646873\pi\)
0.136557 + 0.990632i \(0.456396\pi\)
\(20\) −46.7757 + 43.4015i −0.0261484 + 0.0242622i
\(21\) −1710.69 + 2145.14i −0.846493 + 1.06147i
\(22\) 1608.79 2017.36i 0.708667 0.888641i
\(23\) 1972.01 1829.76i 0.777303 0.721231i −0.188056 0.982158i \(-0.560219\pi\)
0.965359 + 0.260927i \(0.0840281\pi\)
\(24\) −3482.37 + 1074.17i −1.23409 + 0.380667i
\(25\) −1116.85 2845.70i −0.357393 0.910623i
\(26\) 4135.73 2819.69i 1.19983 0.818028i
\(27\) −1756.00 845.645i −0.463570 0.223243i
\(28\) 653.236 + 606.115i 0.157462 + 0.146103i
\(29\) −3788.00 + 570.949i −0.836402 + 0.126067i −0.553258 0.833010i \(-0.686616\pi\)
−0.283144 + 0.959077i \(0.591377\pi\)
\(30\) 92.5543 1235.05i 0.0187756 0.250543i
\(31\) 1518.21 3868.33i 0.283744 0.722969i −0.715948 0.698154i \(-0.754005\pi\)
0.999692 0.0248150i \(-0.00789966\pi\)
\(32\) 610.767 + 2675.94i 0.105439 + 0.461957i
\(33\) 728.873 + 9726.13i 0.116511 + 1.55473i
\(34\) −10027.2 3092.97i −1.48758 0.458858i
\(35\) 855.369 411.924i 0.118028 0.0568391i
\(36\) −1256.80 + 2176.84i −0.161626 + 0.279944i
\(37\) 3301.60 + 5718.54i 0.396479 + 0.686721i 0.993289 0.115661i \(-0.0368987\pi\)
−0.596810 + 0.802383i \(0.703565\pi\)
\(38\) −2647.35 1804.94i −0.297408 0.202770i
\(39\) −4210.21 + 18446.1i −0.443243 + 1.94198i
\(40\) 1246.91 + 187.941i 0.123221 + 0.0185726i
\(41\) 3211.07 + 4026.56i 0.298326 + 0.374088i 0.908291 0.418340i \(-0.137388\pi\)
−0.609965 + 0.792428i \(0.708817\pi\)
\(42\) −17296.2 −1.51296
\(43\) 7967.55 9139.29i 0.657134 0.753774i
\(44\) 3167.74 0.246671
\(45\) 1669.68 + 2093.71i 0.122914 + 0.154130i
\(46\) 16769.0 + 2527.51i 1.16845 + 0.176116i
\(47\) −3639.13 + 15944.1i −0.240300 + 1.05282i 0.700445 + 0.713706i \(0.252985\pi\)
−0.940745 + 0.339115i \(0.889872\pi\)
\(48\) −23857.0 16265.4i −1.49456 1.01897i
\(49\) 1774.26 + 3073.11i 0.105567 + 0.182847i
\(50\) 9635.56 16689.3i 0.545069 0.944088i
\(51\) 35736.4 17209.7i 1.92391 0.926506i
\(52\) 5872.06 + 1811.29i 0.301149 + 0.0928922i
\(53\) 587.947 + 7845.60i 0.0287507 + 0.383651i 0.992955 + 0.118491i \(0.0378058\pi\)
−0.964204 + 0.265160i \(0.914575\pi\)
\(54\) −2733.97 11978.3i −0.127588 0.559000i
\(55\) 1232.98 3141.58i 0.0549603 0.140037i
\(56\) 1316.01 17560.9i 0.0560775 0.748302i
\(57\) 11976.1 1805.10i 0.488234 0.0735894i
\(58\) −17702.4 16425.4i −0.690974 0.641130i
\(59\) 4659.22 + 2243.76i 0.174254 + 0.0839165i 0.518977 0.854788i \(-0.326313\pi\)
−0.344723 + 0.938704i \(0.612027\pi\)
\(60\) 1256.28 856.517i 0.0450514 0.0307155i
\(61\) −12098.7 30827.1i −0.416308 1.06074i −0.973161 0.230125i \(-0.926086\pi\)
0.556853 0.830611i \(-0.312009\pi\)
\(62\) 25032.6 7721.53i 0.827040 0.255108i
\(63\) 27415.1 25437.5i 0.870237 0.807462i
\(64\) 13388.5 16788.7i 0.408586 0.512350i
\(65\) 4081.91 5118.56i 0.119834 0.150267i
\(66\) −45071.3 + 41820.0i −1.27362 + 1.18175i
\(67\) −34831.3 + 10744.0i −0.947944 + 0.292402i −0.729913 0.683540i \(-0.760440\pi\)
−0.218031 + 0.975942i \(0.569963\pi\)
\(68\) −4706.44 11991.8i −0.123430 0.314494i
\(69\) −52963.4 + 36109.8i −1.33922 + 0.913067i
\(70\) 5392.16 + 2596.73i 0.131528 + 0.0633404i
\(71\) 44265.2 + 41072.1i 1.04212 + 0.966943i 0.999483 0.0321478i \(-0.0102347\pi\)
0.0426336 + 0.999091i \(0.486425\pi\)
\(72\) 49118.6 7403.43i 1.11664 0.168307i
\(73\) −1436.59 + 19170.0i −0.0315520 + 0.421032i 0.958954 + 0.283562i \(0.0915161\pi\)
−0.990506 + 0.137470i \(0.956103\pi\)
\(74\) −15207.6 + 38748.4i −0.322836 + 0.822573i
\(75\) 16209.3 + 71017.6i 0.332745 + 1.45785i
\(76\) −293.956 3922.57i −0.00583778 0.0778998i
\(77\) −45037.2 13892.1i −0.865655 0.267019i
\(78\) −107461. + 51750.6i −1.99993 + 0.963116i
\(79\) 51023.0 88374.3i 0.919809 1.59316i 0.120106 0.992761i \(-0.461676\pi\)
0.799703 0.600396i \(-0.204990\pi\)
\(80\) 4995.54 + 8652.53i 0.0872685 + 0.151153i
\(81\) −26838.7 18298.3i −0.454515 0.309883i
\(82\) −7224.38 + 31652.1i −0.118649 + 0.519837i
\(83\) 35785.9 + 5393.86i 0.570187 + 0.0859418i 0.427807 0.903870i \(-0.359286\pi\)
0.142380 + 0.989812i \(0.454524\pi\)
\(84\) −13239.2 16601.4i −0.204721 0.256712i
\(85\) −13724.7 −0.206042
\(86\) 76359.5 + 3347.58i 1.11331 + 0.0488072i
\(87\) 91281.6 1.29296
\(88\) −39030.7 48943.0i −0.537279 0.673726i
\(89\) 6107.93 + 920.623i 0.0817371 + 0.0123199i 0.189783 0.981826i \(-0.439221\pi\)
−0.108046 + 0.994146i \(0.534459\pi\)
\(90\) −3756.51 + 16458.3i −0.0488852 + 0.214180i
\(91\) −75542.3 51503.9i −0.956284 0.651983i
\(92\) 10409.6 + 18029.9i 0.128222 + 0.222088i
\(93\) −49510.6 + 85754.9i −0.593596 + 1.02814i
\(94\) −92885.0 + 44731.1i −1.08424 + 0.522143i
\(95\) −4004.59 1235.25i −0.0455249 0.0140426i
\(96\) −4887.60 65220.4i −0.0541274 0.722280i
\(97\) 34895.4 + 152887.i 0.376564 + 1.64983i 0.707894 + 0.706319i \(0.249646\pi\)
−0.331330 + 0.943515i \(0.607497\pi\)
\(98\) −8172.49 + 20823.2i −0.0859586 + 0.219019i
\(99\) 9934.91 132572.i 0.101877 1.35945i
\(100\) 23394.2 3526.11i 0.233942 0.0352611i
\(101\) −92045.0 85405.3i −0.897836 0.833070i 0.0887937 0.996050i \(-0.471699\pi\)
−0.986629 + 0.162980i \(0.947889\pi\)
\(102\) 225278. + 108488.i 2.14397 + 1.03248i
\(103\) −124843. + 85116.4i −1.15950 + 0.790533i −0.981115 0.193428i \(-0.938039\pi\)
−0.178385 + 0.983961i \(0.557087\pi\)
\(104\) −44366.2 113043.i −0.402225 1.02485i
\(105\) −21617.4 + 6668.07i −0.191350 + 0.0590238i
\(106\) −36356.8 + 33734.2i −0.314283 + 0.291612i
\(107\) 103758. 130109.i 0.876120 1.09862i −0.118284 0.992980i \(-0.537739\pi\)
0.994404 0.105640i \(-0.0336892\pi\)
\(108\) 9404.43 11792.8i 0.0775842 0.0972875i
\(109\) −92043.1 + 85403.5i −0.742036 + 0.688509i −0.957639 0.287972i \(-0.907019\pi\)
0.215603 + 0.976481i \(0.430828\pi\)
\(110\) 20329.7 6270.87i 0.160195 0.0494136i
\(111\) −57484.1 146467.i −0.442834 1.12832i
\(112\) 115284. 78599.1i 0.868406 0.592069i
\(113\) −23496.3 11315.2i −0.173103 0.0833618i 0.345326 0.938483i \(-0.387768\pi\)
−0.518428 + 0.855121i \(0.673483\pi\)
\(114\) 55967.6 + 51930.3i 0.403343 + 0.374247i
\(115\) 21932.8 3305.84i 0.154650 0.0233097i
\(116\) 2215.50 29563.8i 0.0152872 0.203993i
\(117\) 94220.1 240069.i 0.636325 1.62133i
\(118\) 7254.10 + 31782.3i 0.0479599 + 0.210126i
\(119\) 14323.5 + 191133.i 0.0927215 + 1.23728i
\(120\) −28712.6 8856.66i −0.182020 0.0561457i
\(121\) −5847.47 + 2815.99i −0.0363082 + 0.0174851i
\(122\) 104381. 180793.i 0.634922 1.09972i
\(123\) −61360.1 106279.i −0.365698 0.633408i
\(124\) 26572.2 + 18116.6i 0.155193 + 0.105809i
\(125\) 11342.2 49693.5i 0.0649267 0.284462i
\(126\) 233123. + 35137.6i 1.30815 + 0.197172i
\(127\) 128442. + 161061.i 0.706641 + 0.886099i 0.997500 0.0706665i \(-0.0225126\pi\)
−0.290859 + 0.956766i \(0.593941\pi\)
\(128\) 223199. 1.20411
\(129\) −220191. + 187046.i −1.16500 + 0.989633i
\(130\) 41270.9 0.214183
\(131\) 205613. + 257831.i 1.04682 + 1.31267i 0.948244 + 0.317542i \(0.102858\pi\)
0.0985768 + 0.995129i \(0.468571\pi\)
\(132\) −74639.2 11250.0i −0.372848 0.0561978i
\(133\) −13023.1 + 57058.1i −0.0638390 + 0.279697i
\(134\) −189854. 129440.i −0.913394 0.622742i
\(135\) −8034.92 13916.9i −0.0379443 0.0657215i
\(136\) −127289. + 220471.i −0.590125 + 1.02213i
\(137\) 271730. 130858.i 1.23690 0.595661i 0.302933 0.953012i \(-0.402034\pi\)
0.933970 + 0.357351i \(0.116320\pi\)
\(138\) −386138. 119108.i −1.72602 0.532406i
\(139\) −28820.2 384579.i −0.126520 1.68830i −0.594135 0.804365i \(-0.702506\pi\)
0.467615 0.883932i \(-0.345113\pi\)
\(140\) 1634.95 + 7163.17i 0.00704991 + 0.0308877i
\(141\) 142371. 362755.i 0.603077 1.53662i
\(142\) −28446.7 + 379595.i −0.118389 + 1.57979i
\(143\) −321381. + 48440.4i −1.31426 + 0.198092i
\(144\) 288508. + 267696.i 1.15945 + 1.07581i
\(145\) −28457.4 13704.3i −0.112402 0.0541300i
\(146\) −100127. + 68265.6i −0.388750 + 0.265045i
\(147\) −30891.6 78710.6i −0.117909 0.300428i
\(148\) −48832.2 + 15062.8i −0.183254 + 0.0565262i
\(149\) 102298. 94918.9i 0.377487 0.350257i −0.468497 0.883465i \(-0.655204\pi\)
0.845984 + 0.533208i \(0.179014\pi\)
\(150\) −286307. + 359017.i −1.03897 + 1.30283i
\(151\) −114367. + 143412.i −0.408186 + 0.511850i −0.942851 0.333215i \(-0.891867\pi\)
0.534665 + 0.845064i \(0.320438\pi\)
\(152\) −56983.4 + 52872.9i −0.200051 + 0.185620i
\(153\) −516626. + 159358.i −1.78422 + 0.550358i
\(154\) −108546. 276571.i −0.368819 0.939735i
\(155\) 28309.7 19301.2i 0.0946469 0.0645291i
\(156\) −131926. 63532.4i −0.434030 0.209018i
\(157\) 225007. + 208776.i 0.728529 + 0.675976i 0.954518 0.298154i \(-0.0963709\pi\)
−0.225989 + 0.974130i \(0.572561\pi\)
\(158\) 636102. 95876.9i 2.02714 0.305542i
\(159\) 14009.8 186948.i 0.0439481 0.586447i
\(160\) −8267.99 + 21066.5i −0.0255329 + 0.0650567i
\(161\) −68927.5 301991.i −0.209570 0.918184i
\(162\) −15302.4 204197.i −0.0458113 0.611309i
\(163\) −181871. 56099.8i −0.536160 0.165384i 0.0148380 0.999890i \(-0.495277\pi\)
−0.550998 + 0.834506i \(0.685753\pi\)
\(164\) −35910.3 + 17293.5i −0.104258 + 0.0502080i
\(165\) −40209.0 + 69644.0i −0.114978 + 0.199147i
\(166\) 114069. + 197574.i 0.321291 + 0.556493i
\(167\) 151508. + 103297.i 0.420383 + 0.286613i 0.754979 0.655749i \(-0.227647\pi\)
−0.334595 + 0.942362i \(0.608600\pi\)
\(168\) −93374.7 + 409101.i −0.255244 + 1.11830i
\(169\) −256298. 38630.7i −0.690285 0.104044i
\(170\) −53943.7 67643.2i −0.143159 0.179515i
\(171\) −165084. −0.431733
\(172\) 55235.3 + 75854.3i 0.142362 + 0.195505i
\(173\) 441400. 1.12129 0.560644 0.828057i \(-0.310554\pi\)
0.560644 + 0.828057i \(0.310554\pi\)
\(174\) 358774. + 449889.i 0.898355 + 1.12650i
\(175\) −348070. 52463.1i −0.859155 0.129497i
\(176\) 110369. 483558.i 0.268575 1.17670i
\(177\) −101813. 69415.2i −0.244271 0.166541i
\(178\) 19469.3 + 33721.9i 0.0460576 + 0.0797741i
\(179\) 348863. 604248.i 0.813808 1.40956i −0.0963719 0.995345i \(-0.530724\pi\)
0.910180 0.414212i \(-0.135943\pi\)
\(180\) −18672.5 + 8992.21i −0.0429558 + 0.0206864i
\(181\) −158471. 48882.0i −0.359546 0.110905i 0.109719 0.993963i \(-0.465005\pi\)
−0.469265 + 0.883057i \(0.655481\pi\)
\(182\) −43071.4 574748.i −0.0963852 1.28617i
\(183\) 175593. + 769324.i 0.387596 + 1.69817i
\(184\) 150311. 382985.i 0.327299 0.833945i
\(185\) −4068.62 + 54291.9i −0.00874012 + 0.116629i
\(186\) −617247. + 93035.1i −1.30821 + 0.197181i
\(187\) 499460. + 463431.i 1.04447 + 0.969128i
\(188\) −114032. 54914.7i −0.235305 0.113317i
\(189\) −185424. + 126420.i −0.377583 + 0.257432i
\(190\) −9651.66 24592.0i −0.0193963 0.0494208i
\(191\) 256656. 79167.9i 0.509059 0.157024i −0.0295770 0.999563i \(-0.509416\pi\)
0.538636 + 0.842539i \(0.318940\pi\)
\(192\) −375088. + 348031.i −0.734312 + 0.681342i
\(193\) −293933. + 368581.i −0.568009 + 0.712261i −0.980016 0.198920i \(-0.936257\pi\)
0.412006 + 0.911181i \(0.364828\pi\)
\(194\) −616361. + 772892.i −1.17579 + 1.47440i
\(195\) −114357. + 106108.i −0.215366 + 0.199831i
\(196\) −26242.2 + 8094.63i −0.0487932 + 0.0150507i
\(197\) 337508. + 859956.i 0.619610 + 1.57874i 0.803182 + 0.595734i \(0.203139\pi\)
−0.183572 + 0.983006i \(0.558766\pi\)
\(198\) 692441. 472098.i 1.25522 0.855794i
\(199\) 567830. + 273453.i 1.01645 + 0.489496i 0.866489 0.499196i \(-0.166371\pi\)
0.149960 + 0.988692i \(0.452085\pi\)
\(200\) −342728. 318005.i −0.605862 0.562158i
\(201\) 858861. 129453.i 1.49945 0.226006i
\(202\) 59152.1 789329.i 0.101998 1.36107i
\(203\) −161151. + 410606.i −0.274469 + 0.699335i
\(204\) 68306.2 + 299269.i 0.114917 + 0.503485i
\(205\) 3173.31 + 42344.9i 0.00527386 + 0.0703747i
\(206\) −910187. 280755.i −1.49438 0.460957i
\(207\) 787213. 379102.i 1.27693 0.614936i
\(208\) 481087. 833266.i 0.771019 1.33544i
\(209\) 104023. + 180173.i 0.164726 + 0.285314i
\(210\) −117829. 80334.7i −0.184376 0.125706i
\(211\) 247988. 1.08651e6i 0.383464 1.68007i −0.303071 0.952968i \(-0.598012\pi\)
0.686535 0.727097i \(-0.259131\pi\)
\(212\) −60207.8 9074.87i −0.0920054 0.0138676i
\(213\) −897123. 1.12496e6i −1.35489 1.69897i
\(214\) 1.04907e6 1.56592
\(215\) 96727.1 25254.4i 0.142709 0.0372598i
\(216\) −298079. −0.434707
\(217\) −298339. 374105.i −0.430091 0.539317i
\(218\) −782686. 117971.i −1.11544 0.168126i
\(219\) 101931. 446587.i 0.143613 0.629210i
\(220\) 21580.0 + 14713.0i 0.0300604 + 0.0204949i
\(221\) 660865. + 1.14465e6i 0.910190 + 1.57650i
\(222\) 495939. 858992.i 0.675376 1.16979i
\(223\) −742420. + 357531.i −0.999741 + 0.481450i −0.860850 0.508858i \(-0.830068\pi\)
−0.138890 + 0.990308i \(0.544354\pi\)
\(224\) 302006. + 93156.4i 0.402156 + 0.124049i
\(225\) −74199.5 990124.i −0.0977113 1.30387i
\(226\) −36582.2 160277.i −0.0476429 0.208737i
\(227\) 409561. 1.04354e6i 0.527538 1.34414i −0.380316 0.924857i \(-0.624185\pi\)
0.907854 0.419287i \(-0.137720\pi\)
\(228\) −7004.50 + 93468.6i −0.00892360 + 0.119077i
\(229\) −344127. + 51868.8i −0.433641 + 0.0653608i −0.362236 0.932087i \(-0.617986\pi\)
−0.0714051 + 0.997447i \(0.522748\pi\)
\(230\) 102498. + 95104.3i 0.127760 + 0.118544i
\(231\) 1.01184e6 + 487277.i 1.24762 + 0.600823i
\(232\) −484072. + 330035.i −0.590459 + 0.402568i
\(233\) 256691. + 654038.i 0.309757 + 0.789248i 0.997967 + 0.0637361i \(0.0203016\pi\)
−0.688210 + 0.725512i \(0.741603\pi\)
\(234\) 1.55352e6 479198.i 1.85472 0.572105i
\(235\) −98845.9 + 91715.6i −0.116759 + 0.108336i
\(236\) −24953.0 + 31290.0i −0.0291637 + 0.0365701i
\(237\) −1.51607e6 + 1.90110e6i −1.75327 + 2.19853i
\(238\) −885718. + 821827.i −1.01357 + 0.940455i
\(239\) −1.53168e6 + 472460.i −1.73449 + 0.535020i −0.991016 0.133742i \(-0.957301\pi\)
−0.743476 + 0.668762i \(0.766824\pi\)
\(240\) −86977.3 221615.i −0.0974716 0.248354i
\(241\) 552305. 376555.i 0.612542 0.417624i −0.216918 0.976190i \(-0.569600\pi\)
0.829460 + 0.558566i \(0.188648\pi\)
\(242\) −36861.8 17751.7i −0.0404612 0.0194851i
\(243\) 914576. + 848602.i 0.993583 + 0.921910i
\(244\) 253427. 38197.9i 0.272507 0.0410738i
\(245\) −2186.45 + 29176.1i −0.00232715 + 0.0310537i
\(246\) 282633. 720138.i 0.297773 0.758713i
\(247\) 89806.2 + 393467.i 0.0936621 + 0.410360i
\(248\) −47494.7 633772.i −0.0490361 0.654341i
\(249\) −824042. 254183.i −0.842269 0.259806i
\(250\) 289498. 139415.i 0.292952 0.141078i
\(251\) −709161. + 1.22830e6i −0.710494 + 1.23061i 0.254178 + 0.967158i \(0.418195\pi\)
−0.964672 + 0.263454i \(0.915138\pi\)
\(252\) 144715. + 250653.i 0.143553 + 0.248641i
\(253\) −909791. 620285.i −0.893594 0.609242i
\(254\) −288974. + 1.26608e6i −0.281044 + 1.23133i
\(255\) 323385. + 48742.4i 0.311436 + 0.0469414i
\(256\) 448832. + 562818.i 0.428040 + 0.536745i
\(257\) −1.83955e6 −1.73732 −0.868660 0.495409i \(-0.835018\pi\)
−0.868660 + 0.495409i \(0.835018\pi\)
\(258\) −1.78731e6 350063.i −1.67167 0.327414i
\(259\) 760328. 0.704290
\(260\) 31590.2 + 39612.9i 0.0289814 + 0.0363415i
\(261\) −1.23032e6 185441.i −1.11793 0.168501i
\(262\) −462595. + 2.02676e6i −0.416340 + 1.82410i
\(263\) 1.30385e6 + 888947.i 1.16235 + 0.792476i 0.981580 0.191049i \(-0.0611891\pi\)
0.180769 + 0.983526i \(0.442141\pi\)
\(264\) 745834. + 1.29182e6i 0.658616 + 1.14076i
\(265\) −32434.7 + 56178.5i −0.0283723 + 0.0491423i
\(266\) −332402. + 160076.i −0.288044 + 0.138715i
\(267\) −140647. 43383.9i −0.120741 0.0372435i
\(268\) −21080.9 281306.i −0.0179289 0.239244i
\(269\) 24155.8 + 105833.i 0.0203536 + 0.0891748i 0.984085 0.177701i \(-0.0568659\pi\)
−0.963731 + 0.266876i \(0.914009\pi\)
\(270\) 37010.0 94299.9i 0.0308965 0.0787230i
\(271\) 135535. 1.80859e6i 0.112106 1.49595i −0.603452 0.797400i \(-0.706208\pi\)
0.715558 0.698554i \(-0.246173\pi\)
\(272\) −1.99454e6 + 300629.i −1.63463 + 0.246381i
\(273\) 1.59704e6 + 1.48183e6i 1.29690 + 1.20335i
\(274\) 1.71296e6 + 824916.i 1.37838 + 0.663794i
\(275\) −1.03387e6 + 704878.i −0.824390 + 0.562060i
\(276\) −181241. 461796.i −0.143214 0.364903i
\(277\) 688596. 212404.i 0.539219 0.166327i −0.0131704 0.999913i \(-0.504192\pi\)
0.552389 + 0.833586i \(0.313716\pi\)
\(278\) 1.78216e6 1.65360e6i 1.38304 1.28327i
\(279\) 841531. 1.05525e6i 0.647231 0.811602i
\(280\) 90529.4 113520.i 0.0690072 0.0865323i
\(281\) −258448. + 239805.i −0.195258 + 0.181173i −0.771742 0.635935i \(-0.780615\pi\)
0.576485 + 0.817108i \(0.304424\pi\)
\(282\) 2.34744e6 724090.i 1.75781 0.542213i
\(283\) −592932. 1.51077e6i −0.440088 1.12132i −0.963134 0.269021i \(-0.913300\pi\)
0.523047 0.852304i \(-0.324795\pi\)
\(284\) −386120. + 263252.i −0.284070 + 0.193676i
\(285\) 89970.4 + 43327.5i 0.0656126 + 0.0315974i
\(286\) −1.50190e6 1.39356e6i −1.08574 1.00742i
\(287\) 586394. 88384.7i 0.420228 0.0633392i
\(288\) −66620.4 + 888988.i −0.0473289 + 0.631560i
\(289\) 493567. 1.25759e6i 0.347618 0.885715i
\(290\) −44306.2 194118.i −0.0309364 0.135541i
\(291\) −279247. 3.72629e6i −0.193310 2.57955i
\(292\) −142164. 43851.9i −0.0975739 0.0300976i
\(293\) −793503. + 382131.i −0.539982 + 0.260042i −0.683935 0.729543i \(-0.739733\pi\)
0.143953 + 0.989585i \(0.454019\pi\)
\(294\) 266515. 461617.i 0.179826 0.311468i
\(295\) 21319.2 + 36925.9i 0.0142632 + 0.0247045i
\(296\) 834403. + 568887.i 0.553537 + 0.377395i
\(297\) −177520. + 777764.i −0.116776 + 0.511631i
\(298\) 869890. + 131115.i 0.567445 + 0.0855285i
\(299\) −1.33181e6 1.67004e6i −0.861518 1.08031i
\(300\) −563744. −0.361642
\(301\) −452646. 1.32069e6i −0.287967 0.840203i
\(302\) −1.15633e6 −0.729563
\(303\) 1.86548e6 + 2.33924e6i 1.16730 + 1.46375i
\(304\) −609025. 91795.8i −0.377965 0.0569690i
\(305\) 60758.8 266202.i 0.0373990 0.163856i
\(306\) −2.81596e6 1.91989e6i −1.71919 1.17212i
\(307\) −360848. 625007.i −0.218514 0.378477i 0.735840 0.677155i \(-0.236787\pi\)
−0.954354 + 0.298679i \(0.903454\pi\)
\(308\) 182375. 315884.i 0.109544 0.189736i
\(309\) 3.24387e6 1.56216e6i 1.93271 0.930744i
\(310\) 206397. + 63664.9i 0.121983 + 0.0376267i
\(311\) 25645.5 + 342215.i 0.0150352 + 0.200631i 0.999663 + 0.0259646i \(0.00826572\pi\)
−0.984628 + 0.174667i \(0.944115\pi\)
\(312\) 643903. + 2.82112e6i 0.374484 + 1.64072i
\(313\) 126147. 321417.i 0.0727807 0.185442i −0.889854 0.456245i \(-0.849194\pi\)
0.962635 + 0.270803i \(0.0872892\pi\)
\(314\) −144599. + 1.92954e6i −0.0827640 + 1.10441i
\(315\) 304911. 45958.0i 0.173140 0.0260966i
\(316\) 578921. + 537160.i 0.326138 + 0.302612i
\(317\) 1.48166e6 + 713531.i 0.828135 + 0.398809i 0.799415 0.600779i \(-0.205143\pi\)
0.0287193 + 0.999588i \(0.490857\pi\)
\(318\) 976455. 665736.i 0.541482 0.369176i
\(319\) 572858. + 1.45962e6i 0.315189 + 0.803087i
\(320\) 169186. 52187.0i 0.0923612 0.0284897i
\(321\) −2.90686e6 + 2.69717e6i −1.57457 + 1.46098i
\(322\) 1.21748e6 1.52667e6i 0.654366 0.820549i
\(323\) 527512. 661479.i 0.281336 0.352785i
\(324\) 184280. 170987.i 0.0975251 0.0904901i
\(325\) −2.31953e6 + 715479.i −1.21812 + 0.375741i
\(326\) −438336. 1.11686e6i −0.228435 0.582044i
\(327\) 2.47205e6 1.68542e6i 1.27846 0.871641i
\(328\) 709654. + 341751.i 0.364219 + 0.175398i
\(329\) 1.38041e6 + 1.28083e6i 0.703103 + 0.652384i
\(330\) −501284. + 75556.4i −0.253396 + 0.0381932i
\(331\) 11884.7 158591.i 0.00596237 0.0795623i −0.993429 0.114452i \(-0.963489\pi\)
0.999391 + 0.0348894i \(0.0111079\pi\)
\(332\) −102324. + 260717.i −0.0509486 + 0.129815i
\(333\) 477235. + 2.09090e6i 0.235842 + 1.03329i
\(334\) 86384.4 + 1.15272e6i 0.0423711 + 0.565403i
\(335\) −287188. 88585.8i −0.139815 0.0431273i
\(336\) −2.99549e6 + 1.44255e6i −1.44750 + 0.697080i
\(337\) −187139. + 324134.i −0.0897613 + 0.155471i −0.907410 0.420246i \(-0.861944\pi\)
0.817649 + 0.575717i \(0.195277\pi\)
\(338\) −816962. 1.41502e6i −0.388965 0.673707i
\(339\) 513441. + 350058.i 0.242656 + 0.165440i
\(340\) 23635.3 103553.i 0.0110883 0.0485810i
\(341\) −1.68196e6 253515.i −0.783303 0.118064i
\(342\) −648849. 813630.i −0.299970 0.376151i
\(343\) 2.34385e6 1.07571
\(344\) 491411. 1.78803e6i 0.223897 0.814666i
\(345\) −528527. −0.239067
\(346\) 1.73489e6 + 2.17548e6i 0.779077 + 0.976932i
\(347\) −40223.8 6062.77i −0.0179333 0.00270301i 0.140069 0.990142i \(-0.455267\pi\)
−0.158003 + 0.987439i \(0.550505\pi\)
\(348\) −157196. + 688723.i −0.0695816 + 0.304857i
\(349\) −1.23291e6 840581.i −0.541834 0.369416i 0.261260 0.965268i \(-0.415862\pi\)
−0.803094 + 0.595852i \(0.796814\pi\)
\(350\) −1.10949e6 1.92169e6i −0.484121 0.838522i
\(351\) −773789. + 1.34024e6i −0.335239 + 0.580651i
\(352\) 1.01222e6 487460.i 0.435430 0.209692i
\(353\) −1.91415e6 590438.i −0.817598 0.252195i −0.142378 0.989812i \(-0.545475\pi\)
−0.675219 + 0.737617i \(0.735951\pi\)
\(354\) −58050.2 774626.i −0.0246204 0.328537i
\(355\) 110789. + 485397.i 0.0466578 + 0.204421i
\(356\) −17464.6 + 44499.2i −0.00730356 + 0.0186092i
\(357\) 341305. 4.55440e6i 0.141733 1.89130i
\(358\) 4.34926e6 655546.i 1.79353 0.270331i
\(359\) −910946. 845235.i −0.373041 0.346132i 0.471266 0.881991i \(-0.343797\pi\)
−0.844307 + 0.535860i \(0.819988\pi\)
\(360\) 369003. + 177703.i 0.150063 + 0.0722666i
\(361\) −1.83240e6 + 1.24931e6i −0.740034 + 0.504546i
\(362\) −381940. 973166.i −0.153187 0.390315i
\(363\) 147781. 45584.3i 0.0588641 0.0181572i
\(364\) 518690. 481274.i 0.205189 0.190388i
\(365\) −98824.5 + 123922.i −0.0388269 + 0.0486873i
\(366\) −3.10152e6 + 3.88919e6i −1.21024 + 1.51760i
\(367\) 232427. 215661.i 0.0900786 0.0835807i −0.633848 0.773457i \(-0.718526\pi\)
0.723927 + 0.689877i \(0.242335\pi\)
\(368\) 3.11497e6 960842.i 1.19904 0.369856i
\(369\) 611120. + 1.55711e6i 0.233647 + 0.595323i
\(370\) −283573. + 193337.i −0.107686 + 0.0734194i
\(371\) 816205. + 393063.i 0.307868 + 0.148261i
\(372\) −561761. 521238.i −0.210472 0.195290i
\(373\) 1.32662e6 199955.i 0.493711 0.0744150i 0.102532 0.994730i \(-0.467306\pi\)
0.391179 + 0.920315i \(0.372067\pi\)
\(374\) −320974. + 4.28311e6i −0.118656 + 1.58336i
\(375\) −443732. + 1.13061e6i −0.162946 + 0.415179i
\(376\) 556563. + 2.43846e6i 0.203023 + 0.889500i
\(377\) 227311. + 3.03326e6i 0.0823697 + 1.09915i
\(378\) −1.35187e6 416996.i −0.486636 0.150107i
\(379\) −2.56188e6 + 1.23374e6i −0.916138 + 0.441189i −0.831691 0.555239i \(-0.812627\pi\)
−0.0844473 + 0.996428i \(0.526912\pi\)
\(380\) 16216.4 28087.6i 0.00576095 0.00997826i
\(381\) −2.45439e6 4.25113e6i −0.866226 1.50035i
\(382\) 1.39895e6 + 953788.i 0.490505 + 0.334421i
\(383\) −124679. + 546256.i −0.0434308 + 0.190283i −0.991990 0.126317i \(-0.959684\pi\)
0.948559 + 0.316600i \(0.102541\pi\)
\(384\) −5.25908e6 792679.i −1.82004 0.274328i
\(385\) −242289. 303821.i −0.0833071 0.104464i
\(386\) −2.97186e6 −1.01522
\(387\) 3.34779e6 2.07373e6i 1.13627 0.703843i
\(388\) −1.21363e6 −0.409267
\(389\) −1.24466e6 1.56075e6i −0.417039 0.522950i 0.528292 0.849063i \(-0.322833\pi\)
−0.945331 + 0.326113i \(0.894261\pi\)
\(390\) −972435. 146571.i −0.323742 0.0487963i
\(391\) −996440. + 4.36569e6i −0.329617 + 1.44415i
\(392\) 448403. + 305716.i 0.147385 + 0.100486i
\(393\) −3.92904e6 6.80530e6i −1.28323 2.22262i
\(394\) −2.91182e6 + 5.04342e6i −0.944983 + 1.63676i
\(395\) 758058. 365061.i 0.244461 0.117726i
\(396\) 983152. + 303262.i 0.315052 + 0.0971808i
\(397\) −148752. 1.98495e6i −0.0473681 0.632083i −0.969482 0.245164i \(-0.921158\pi\)
0.922114 0.386919i \(-0.126461\pi\)
\(398\) 884073. + 3.87338e6i 0.279757 + 1.22569i
\(399\) 509493. 1.29817e6i 0.160216 0.408224i
\(400\) 276827. 3.69400e6i 0.0865086 1.15438i
\(401\) 4.81920e6 726378.i 1.49663 0.225580i 0.650888 0.759174i \(-0.274397\pi\)
0.845741 + 0.533594i \(0.179159\pi\)
\(402\) 4.01370e6 + 3.72417e6i 1.23874 + 1.14938i
\(403\) −2.97290e6 1.43167e6i −0.911839 0.439118i
\(404\) 802897. 547406.i 0.244741 0.166861i
\(405\) −97847.8 249312.i −0.0296424 0.0755276i
\(406\) −2.65710e6 + 819606.i −0.800004 + 0.246769i
\(407\) 1.98130e6 1.83838e6i 0.592876 0.550108i
\(408\) 3.78221e6 4.74275e6i 1.12485 1.41052i
\(409\) 2.49416e6 3.12758e6i 0.737252 0.924484i −0.261924 0.965089i \(-0.584357\pi\)
0.999175 + 0.0406043i \(0.0129283\pi\)
\(410\) −196228. + 182073.i −0.0576503 + 0.0534917i
\(411\) −6.86731e6 + 2.11828e6i −2.00531 + 0.618557i
\(412\) −427214. 1.08852e6i −0.123994 0.315933i
\(413\) 491990. 335433.i 0.141932 0.0967678i
\(414\) 4.96251e6 + 2.38982e6i 1.42298 + 0.685273i
\(415\) 218737. + 202958.i 0.0623450 + 0.0578477i
\(416\) 2.15508e6 324827.i 0.610563 0.0920276i
\(417\) −686741. + 9.16392e6i −0.193398 + 2.58072i
\(418\) −479144. + 1.22084e6i −0.134130 + 0.341757i
\(419\) −111482. 488436.i −0.0310221 0.135917i 0.957045 0.289938i \(-0.0936347\pi\)
−0.988068 + 0.154021i \(0.950778\pi\)
\(420\) −13083.5 174587.i −0.00361910 0.0482935i
\(421\) −347653. 107237.i −0.0955961 0.0294875i 0.246588 0.969120i \(-0.420691\pi\)
−0.342184 + 0.939633i \(0.611167\pi\)
\(422\) 6.32963e6 3.04819e6i 1.73020 0.833222i
\(423\) −2.65586e6 + 4.60008e6i −0.721695 + 1.25001i
\(424\) 601629. + 1.04205e6i 0.162523 + 0.281498i
\(425\) 4.20445e6 + 2.86654e6i 1.12911 + 0.769815i
\(426\) 2.01838e6 8.84309e6i 0.538863 2.36091i
\(427\) −3.77060e6 568326.i −1.00078 0.150844i
\(428\) 802993. + 1.00692e6i 0.211886 + 0.265697i
\(429\) 7.74451e6 2.03166
\(430\) 504646. + 377468.i 0.131618 + 0.0984484i
\(431\) −6.63863e6 −1.72141 −0.860707 0.509100i \(-0.829978\pi\)
−0.860707 + 0.509100i \(0.829978\pi\)
\(432\) −1.47251e6 1.84647e6i −0.379621 0.476030i
\(433\) 4.41233e6 + 665052.i 1.13096 + 0.170465i 0.687748 0.725950i \(-0.258600\pi\)
0.443215 + 0.896415i \(0.353838\pi\)
\(434\) 671212. 2.94077e6i 0.171055 0.749440i
\(435\) 621850. + 423970.i 0.157566 + 0.107427i
\(436\) −485865. 841542.i −0.122405 0.212012i
\(437\) −683664. + 1.18414e6i −0.171253 + 0.296620i
\(438\) 2.60167e6 1.25290e6i 0.647988 0.312054i
\(439\) −6.54764e6 2.01968e6i −1.62152 0.500174i −0.654758 0.755838i \(-0.727230\pi\)
−0.966766 + 0.255664i \(0.917706\pi\)
\(440\) −38571.8 514704.i −0.00949812 0.126744i
\(441\) 256463. + 1.12364e6i 0.0627956 + 0.275125i
\(442\) −3.04404e6 + 7.75609e6i −0.741130 + 1.88837i
\(443\) 204038. 2.72269e6i 0.0493970 0.659157i −0.916467 0.400109i \(-0.868972\pi\)
0.965864 0.259048i \(-0.0834088\pi\)
\(444\) 1.20409e6 181488.i 0.289870 0.0436908i
\(445\) 37333.9 + 34640.8i 0.00893725 + 0.00829256i
\(446\) −4.68014e6 2.25383e6i −1.11409 0.536519i
\(447\) −2.74748e6 + 1.87320e6i −0.650377 + 0.443420i
\(448\) −903336. 2.30166e6i −0.212644 0.541809i
\(449\) 2.09987e6 647724.i 0.491560 0.151626i −0.0390587 0.999237i \(-0.512436\pi\)
0.530618 + 0.847611i \(0.321960\pi\)
\(450\) 4.58827e6 4.25729e6i 1.06811 0.991065i
\(451\) 1.31435e6 1.64814e6i 0.304277 0.381552i
\(452\) 125837. 157795.i 0.0289709 0.0363284i
\(453\) 3.20407e6 2.97294e6i 0.733594 0.680676i
\(454\) 6.75293e6 2.08300e6i 1.53763 0.474297i
\(455\) −275410. 701734.i −0.0623665 0.158907i
\(456\) 1.53043e6 1.04343e6i 0.344669 0.234992i
\(457\) 2.84319e6 + 1.36921e6i 0.636819 + 0.306676i 0.724294 0.689491i \(-0.242166\pi\)
−0.0874756 + 0.996167i \(0.527880\pi\)
\(458\) −1.60820e6 1.49219e6i −0.358242 0.332400i
\(459\) 3.20806e6 483537.i 0.710739 0.107127i
\(460\) −12827.9 + 171177.i −0.00282658 + 0.0377181i
\(461\) 1.85466e6 4.72560e6i 0.406455 1.03563i −0.570332 0.821415i \(-0.693185\pi\)
0.976786 0.214215i \(-0.0687195\pi\)
\(462\) 1.57537e6 + 6.90215e6i 0.343382 + 1.50446i
\(463\) 128733. + 1.71782e6i 0.0279085 + 0.372413i 0.993619 + 0.112791i \(0.0359790\pi\)
−0.965710 + 0.259622i \(0.916402\pi\)
\(464\) −4.43575e6 1.36825e6i −0.956472 0.295033i
\(465\) −735589. + 354241.i −0.157762 + 0.0759742i
\(466\) −2.21458e6 + 3.83576e6i −0.472418 + 0.818252i
\(467\) −41740.8 72297.2i −0.00885663 0.0153401i 0.861563 0.507650i \(-0.169486\pi\)
−0.870420 + 0.492310i \(0.836153\pi\)
\(468\) 1.64907e6 + 1.12432e6i 0.348037 + 0.237287i
\(469\) −933950. + 4.09190e6i −0.196061 + 0.859000i
\(470\) −840533. 126690.i −0.175513 0.0264544i
\(471\) −4.56022e6 5.71833e6i −0.947182 1.18773i
\(472\) 790898. 0.163405
\(473\) −4.37278e6 2.34707e6i −0.898680 0.482363i
\(474\) −1.53285e7 −3.13367
\(475\) 968780. + 1.21481e6i 0.197011 + 0.247044i
\(476\) −1.46677e6 221080.i −0.296719 0.0447232i
\(477\) −568618. + 2.49128e6i −0.114426 + 0.501333i
\(478\) −8.34868e6 5.69203e6i −1.67128 1.13946i
\(479\) 2.74935e6 + 4.76202e6i 0.547510 + 0.948315i 0.998444 + 0.0557579i \(0.0177575\pi\)
−0.450934 + 0.892557i \(0.648909\pi\)
\(480\) 269629. 467011.i 0.0534150 0.0925176i
\(481\) 4.72391e6 2.27492e6i 0.930977 0.448335i
\(482\) 4.02667e6 + 1.24206e6i 0.789456 + 0.243515i
\(483\) 551585. + 7.36039e6i 0.107583 + 1.43560i
\(484\) −11176.8 48968.8i −0.00216872 0.00950180i
\(485\) −472381. + 1.20361e6i −0.0911881 + 0.232343i
\(486\) −587746. + 7.84292e6i −0.112875 + 1.50622i
\(487\) 2.74023e6 413022.i 0.523557 0.0789135i 0.118054 0.993007i \(-0.462334\pi\)
0.405503 + 0.914094i \(0.367096\pi\)
\(488\) −3.71272e6 3.44490e6i −0.705737 0.654828i
\(489\) 4.08606e6 + 1.96774e6i 0.772739 + 0.372132i
\(490\) −152391. + 103898.i −0.0286727 + 0.0195487i
\(491\) 575891. + 1.46735e6i 0.107804 + 0.274681i 0.974589 0.224002i \(-0.0719123\pi\)
−0.866784 + 0.498683i \(0.833817\pi\)
\(492\) 907546. 279941.i 0.169027 0.0521379i
\(493\) 4.67442e6 4.33723e6i 0.866185 0.803702i
\(494\) −1.58626e6 + 1.98910e6i −0.292453 + 0.366725i
\(495\) 683431. 856995.i 0.125367 0.157205i
\(496\) 3.69133e6 3.42506e6i 0.673720 0.625120i
\(497\) 6.64413e6 2.04944e6i 1.20656 0.372173i
\(498\) −1.98606e6 5.06040e6i −0.358855 0.914349i
\(499\) −5.95438e6 + 4.05963e6i −1.07050 + 0.729852i −0.964385 0.264502i \(-0.914792\pi\)
−0.106111 + 0.994354i \(0.533840\pi\)
\(500\) 355407. + 171155.i 0.0635771 + 0.0306171i
\(501\) −3.20303e6 2.97198e6i −0.570121 0.528995i
\(502\) −8.84109e6 + 1.33258e6i −1.56584 + 0.236012i
\(503\) −341256. + 4.55375e6i −0.0601397 + 0.802508i 0.882843 + 0.469667i \(0.155626\pi\)
−0.942983 + 0.332841i \(0.891993\pi\)
\(504\) 2.08963e6 5.32429e6i 0.366431 0.933652i
\(505\) −230374. 1.00933e6i −0.0401980 0.176119i
\(506\) −518729. 6.92195e6i −0.0900666 1.20186i
\(507\) 5.90177e6 + 1.82045e6i 1.01968 + 0.314528i
\(508\) −1.43641e6 + 691736.i −0.246955 + 0.118927i
\(509\) −2.34231e6 + 4.05701e6i −0.400729 + 0.694083i −0.993814 0.111057i \(-0.964576\pi\)
0.593085 + 0.805140i \(0.297910\pi\)
\(510\) 1.03080e6 + 1.78541e6i 0.175489 + 0.303956i
\(511\) 1.82890e6 + 1.24692e6i 0.309841 + 0.211246i
\(512\) 579531. 2.53909e6i 0.0977016 0.428059i
\(513\) 979567. + 147646.i 0.164339 + 0.0247701i
\(514\) −7.23021e6 9.06639e6i −1.20710 1.51365i
\(515\) −1.24582e6 −0.206984
\(516\) −1.03208e6 1.98346e6i −0.170643 0.327944i
\(517\) 6.69403e6 1.10144
\(518\) 2.98840e6 + 3.74734e6i 0.489345 + 0.613619i
\(519\) −1.04004e7 1.56761e6i −1.69485 0.255458i
\(520\) 222803. 976165.i 0.0361338 0.158312i
\(521\) 7.96913e6 + 5.43326e6i 1.28622 + 0.876933i 0.996774 0.0802601i \(-0.0255751\pi\)
0.289450 + 0.957193i \(0.406527\pi\)
\(522\) −3.92170e6 6.79258e6i −0.629938 1.09108i
\(523\) −2.59946e6 + 4.50240e6i −0.415555 + 0.719763i −0.995487 0.0949024i \(-0.969746\pi\)
0.579931 + 0.814665i \(0.303079\pi\)
\(524\) −2.29943e6 + 1.10735e6i −0.365840 + 0.176179i
\(525\) 8.01501e6 + 2.47230e6i 1.26913 + 0.391474i
\(526\) 743404. + 9.92003e6i 0.117155 + 1.56332i
\(527\) 1.53925e6 + 6.74390e6i 0.241425 + 1.05775i
\(528\) −4.31787e6 + 1.10018e7i −0.674039 + 1.71742i
\(529\) 59822.6 798278.i 0.00929451 0.124027i
\(530\) −404362. + 60947.7i −0.0625289 + 0.00942471i
\(531\) 1.23125e6 + 1.14243e6i 0.189500 + 0.175831i
\(532\) −408078. 196520.i −0.0625121 0.0301042i
\(533\) 3.37881e6 2.30363e6i 0.515164 0.351233i
\(534\) −338981. 863709.i −0.0514425 0.131073i
\(535\) 1.31116e6 404438.i 0.198048 0.0610897i
\(536\) −4.08655e6 + 3.79176e6i −0.614391 + 0.570072i
\(537\) −1.03660e7 + 1.29985e7i −1.55122 + 1.94517i
\(538\) −426667. + 535023.i −0.0635525 + 0.0796924i
\(539\) 1.06474e6 987932.i 0.157859 0.146472i
\(540\) 118840. 36657.4i 0.0175380 0.00540975i
\(541\) 2.58561e6 + 6.58802e6i 0.379813 + 0.967747i 0.985137 + 0.171768i \(0.0549480\pi\)
−0.605325 + 0.795979i \(0.706957\pi\)
\(542\) 9.44652e6 6.44053e6i 1.38125 0.941723i
\(543\) 3.56035e6 + 1.71457e6i 0.518195 + 0.249549i
\(544\) −3.34923e6 3.10763e6i −0.485229 0.450227i
\(545\) −1.02371e6 + 154299.i −0.147633 + 0.0222521i
\(546\) −1.02632e6 + 1.36953e7i −0.147334 + 1.96603i
\(547\) 592555. 1.50981e6i 0.0846761 0.215751i −0.882264 0.470755i \(-0.843982\pi\)
0.966940 + 0.255004i \(0.0820768\pi\)
\(548\) 519382. + 2.27556e6i 0.0738815 + 0.323696i
\(549\) −803793. 1.07259e7i −0.113819 1.51880i
\(550\) −7.53757e6 2.32503e6i −1.06249 0.327735i
\(551\) 1.75427e6 844810.i 0.246159 0.118544i
\(552\) −4.90181e6 + 8.49019e6i −0.684714 + 1.18596i
\(553\) −5.87506e6 1.01759e7i −0.816958 1.41501i
\(554\) 3.75332e6 + 2.55897e6i 0.519566 + 0.354234i
\(555\) 288680. 1.26479e6i 0.0397818 0.174296i
\(556\) 2.95130e6 + 444836.i 0.404879 + 0.0610258i
\(557\) −3.61692e6 4.53548e6i −0.493971 0.619420i 0.470887 0.882194i \(-0.343934\pi\)
−0.964857 + 0.262774i \(0.915363\pi\)
\(558\) 8.50843e6 1.15681
\(559\) −6.76381e6 6.85110e6i −0.915507 0.927323i
\(560\) 1.15043e6 0.155021
\(561\) −1.01226e7 1.26933e7i −1.35795 1.70281i
\(562\) −2.19771e6 331251.i −0.293514 0.0442402i
\(563\) −2.91951e6 + 1.27912e7i −0.388185 + 1.70075i 0.282716 + 0.959204i \(0.408765\pi\)
−0.670901 + 0.741547i \(0.734093\pi\)
\(564\) 2.49182e6 + 1.69889e6i 0.329852 + 0.224889i
\(565\) −107512. 186216.i −0.0141689 0.0245412i
\(566\) 5.11547e6 8.86026e6i 0.671189 1.16253i
\(567\) −3.36986e6 + 1.62284e6i −0.440205 + 0.211991i
\(568\) 8.82486e6 + 2.72211e6i 1.14772 + 0.354025i
\(569\) 681382. + 9.09242e6i 0.0882288 + 1.17733i 0.849029 + 0.528346i \(0.177187\pi\)
−0.760801 + 0.648986i \(0.775194\pi\)
\(570\) 140078. + 613721.i 0.0180585 + 0.0791196i
\(571\) 3.32211e6 8.46459e6i 0.426406 1.08647i −0.542723 0.839912i \(-0.682607\pi\)
0.969129 0.246553i \(-0.0792981\pi\)
\(572\) 187967. 2.50825e6i 0.0240211 0.320539i
\(573\) −6.32856e6 + 953877.i −0.805227 + 0.121368i
\(574\) 2.74038e6 + 2.54270e6i 0.347161 + 0.322119i
\(575\) −7.40940e6 3.56818e6i −0.934573 0.450067i
\(576\) 5.76258e6 3.92886e6i 0.723703 0.493413i
\(577\) −721653. 1.83874e6i −0.0902378 0.229922i 0.878629 0.477505i \(-0.158459\pi\)
−0.968867 + 0.247583i \(0.920364\pi\)
\(578\) 8.13805e6 2.51026e6i 1.01321 0.312535i
\(579\) 8.23473e6 7.64071e6i 1.02083 0.947191i
\(580\) 152406. 191111.i 0.0188119 0.0235894i
\(581\) 2.59816e6 3.25800e6i 0.319320 0.400415i
\(582\) 1.72678e7 1.60221e7i 2.11314 1.96071i
\(583\) 3.07728e6 949215.i 0.374969 0.115663i
\(584\) 1.07412e6 + 2.73681e6i 0.130323 + 0.332057i
\(585\) 1.75690e6 1.19784e6i 0.212255 0.144713i
\(586\) −5.00216e6 2.40891e6i −0.601746 0.289786i
\(587\) 788181. + 731325.i 0.0944127 + 0.0876022i 0.725967 0.687729i \(-0.241392\pi\)
−0.631555 + 0.775331i \(0.717583\pi\)
\(588\) 647073. 97530.5i 0.0771809 0.0116331i
\(589\) −157843. + 2.10627e6i −0.0187473 + 0.250165i
\(590\) −98199.2 + 250208.i −0.0116139 + 0.0295917i
\(591\) −4.89837e6 2.14612e7i −0.576877 2.52746i
\(592\) 597951. + 7.97910e6i 0.0701231 + 0.935728i
\(593\) −5.26650e6 1.62450e6i −0.615015 0.189707i −0.0284313 0.999596i \(-0.509051\pi\)
−0.586583 + 0.809889i \(0.699527\pi\)
\(594\) −4.53100e6 + 2.18201e6i −0.526900 + 0.253742i
\(595\) −790167. + 1.36861e6i −0.0915012 + 0.158485i
\(596\) 539998. + 935304.i 0.0622696 + 0.107854i
\(597\) −1.24082e7 8.45978e6i −1.42486 0.971456i
\(598\) 2.99635e6 1.31279e7i 0.342641 1.50121i
\(599\) 950601. + 143280.i 0.108251 + 0.0163162i 0.202944 0.979190i \(-0.434949\pi\)
−0.0946934 + 0.995506i \(0.530187\pi\)
\(600\) 6.94607e6 + 8.71009e6i 0.787700 + 0.987744i
\(601\) 1.71345e7 1.93502 0.967511 0.252828i \(-0.0813605\pi\)
0.967511 + 0.252828i \(0.0813605\pi\)
\(602\) 4.73004e6 7.42176e6i 0.531954 0.834671i
\(603\) −1.18390e7 −1.32593
\(604\) −885094. 1.10987e6i −0.0987182 0.123789i
\(605\) −52914.8 7975.62i −0.00587745 0.000885883i
\(606\) −4.19701e6 + 1.83883e7i −0.464258 + 2.03405i
\(607\) −234064. 159582.i −0.0257848 0.0175798i 0.550359 0.834928i \(-0.314491\pi\)
−0.576144 + 0.817348i \(0.695443\pi\)
\(608\) −697545. 1.20818e6i −0.0765267 0.132548i
\(609\) 5.25533e6 9.10250e6i 0.574192 0.994529i
\(610\) 1.55080e6 746828.i 0.168746 0.0812636i
\(611\) 1.24088e7 + 3.82760e6i 1.34470 + 0.414785i
\(612\) −312678. 4.17239e6i −0.0337457 0.450305i
\(613\) −814433. 3.56826e6i −0.0875395 0.383536i 0.912112 0.409942i \(-0.134451\pi\)
−0.999651 + 0.0264059i \(0.991594\pi\)
\(614\) 1.66212e6 4.23501e6i 0.177927 0.453349i
\(615\) 75615.1 1.00901e6i 0.00806159 0.107574i
\(616\) −7.12764e6 + 1.07432e6i −0.756823 + 0.114073i
\(617\) 7.72450e6 + 7.16729e6i 0.816878 + 0.757952i 0.973251 0.229746i \(-0.0737895\pi\)
−0.156372 + 0.987698i \(0.549980\pi\)
\(618\) 2.04490e7 + 9.84771e6i 2.15378 + 1.03720i
\(619\) 7.43794e6 5.07110e6i 0.780236 0.531956i −0.106456 0.994317i \(-0.533950\pi\)
0.886691 + 0.462362i \(0.152998\pi\)
\(620\) 96876.2 + 246837.i 0.0101213 + 0.0257887i
\(621\) −5.01018e6 + 1.54544e6i −0.521344 + 0.160813i
\(622\) −1.58584e6 + 1.47144e6i −0.164355 + 0.152499i
\(623\) 443454. 556074.i 0.0457750 0.0574000i
\(624\) −1.42948e7 + 1.79251e7i −1.46966 + 1.84289i
\(625\) −6.69490e6 + 6.21196e6i −0.685558 + 0.636105i
\(626\) 2.07994e6 641577.i 0.212136 0.0654354i
\(627\) −1.81114e6 4.61471e6i −0.183985 0.468787i
\(628\) −1.96271e6 + 1.33815e6i −0.198589 + 0.135396i
\(629\) −9.90306e6 4.76906e6i −0.998028 0.480625i
\(630\) 1.42493e6 + 1.32215e6i 0.143035 + 0.132717i
\(631\) −2.21848e6 + 334382.i −0.221810 + 0.0334325i −0.259007 0.965875i \(-0.583395\pi\)
0.0371967 + 0.999308i \(0.488157\pi\)
\(632\) 1.16629e6 1.55631e7i 0.116149 1.54990i
\(633\) −9.70182e6 + 2.47198e7i −0.962375 + 2.45209i
\(634\) 2.30685e6 + 1.01070e7i 0.227927 + 0.998614i
\(635\) 126932. + 1.69379e6i 0.0124921 + 0.166696i
\(636\) 1.38641e6 + 427649.i 0.135909 + 0.0419223i
\(637\) 2.53860e6 1.22253e6i 0.247883 0.119374i
\(638\) −4.94228e6 + 8.56028e6i −0.480702 + 0.832600i
\(639\) 9.80630e6 + 1.69850e7i 0.950064 + 1.64556i
\(640\) 1.52053e6 + 1.03668e6i 0.146739 + 0.100045i
\(641\) 1.18985e6 5.21306e6i 0.114379 0.501127i −0.884990 0.465610i \(-0.845835\pi\)
0.999369 0.0355169i \(-0.0113078\pi\)
\(642\) −2.47184e7 3.72570e6i −2.36691 0.356755i
\(643\) −2.21866e6 2.78211e6i −0.211623 0.265367i 0.664679 0.747129i \(-0.268568\pi\)
−0.876302 + 0.481762i \(0.839997\pi\)
\(644\) 2.39724e6 0.227770
\(645\) −2.36880e6 + 251530.i −0.224197 + 0.0238062i
\(646\) 5.33349e6 0.502841
\(647\) −7.41206e6 9.29443e6i −0.696111 0.872895i 0.300616 0.953745i \(-0.402808\pi\)
−0.996726 + 0.0808502i \(0.974236\pi\)
\(648\) −4.91240e6 740425.i −0.459575 0.0692698i
\(649\) 471016. 2.06366e6i 0.0438959 0.192320i
\(650\) −1.26430e7 8.61985e6i −1.17373 0.800233i
\(651\) 5.70092e6 + 9.87429e6i 0.527221 + 0.913174i
\(652\) 736476. 1.27561e6i 0.0678484 0.117517i
\(653\) −1.18787e7 + 5.72050e6i −1.09015 + 0.524990i −0.890549 0.454887i \(-0.849680\pi\)
−0.199603 + 0.979877i \(0.563965\pi\)
\(654\) 1.80229e7 + 5.55933e6i 1.64771 + 0.508250i
\(655\) 203195. + 2.71145e6i 0.0185059 + 0.246944i
\(656\) 1.38870e6 + 6.08427e6i 0.125993 + 0.552013i
\(657\) −2.28110e6 + 5.81214e6i −0.206172 + 0.525319i
\(658\) −887111. + 1.18377e7i −0.0798755 + 1.06586i
\(659\) −2.24031e6 + 337672.i −0.200953 + 0.0302888i −0.248747 0.968568i \(-0.580019\pi\)
0.0477945 + 0.998857i \(0.484781\pi\)
\(660\) −456222. 423312.i −0.0407677 0.0378269i
\(661\) 6.40422e6 + 3.08411e6i 0.570115 + 0.274553i 0.696652 0.717409i \(-0.254672\pi\)
−0.126537 + 0.991962i \(0.540386\pi\)
\(662\) 828339. 564752.i 0.0734620 0.0500856i
\(663\) −1.15063e7 2.93176e7i −1.01661 2.59027i
\(664\) 5.28896e6 1.63143e6i 0.465533 0.143598i
\(665\) −353733. + 328217.i −0.0310186 + 0.0287810i
\(666\) −8.42946e6 + 1.05702e7i −0.736401 + 0.923418i
\(667\) −6.42528e6 + 8.05705e6i −0.559214 + 0.701232i
\(668\) −1.04029e6 + 965248.i −0.0902014 + 0.0836947i
\(669\) 1.87629e7 5.78757e6i 1.62082 0.499955i
\(670\) −692166. 1.76361e6i −0.0595694 0.151780i
\(671\) −1.11997e7 + 7.63585e6i −0.960288 + 0.654713i
\(672\) −6.78510e6 3.26753e6i −0.579606 0.279124i
\(673\) 1.67235e6 + 1.55172e6i 0.142328 + 0.132061i 0.748124 0.663559i \(-0.230955\pi\)
−0.605796 + 0.795620i \(0.707145\pi\)
\(674\) −2.33305e6 + 351651.i −0.197822 + 0.0298169i
\(675\) −445254. + 5.94151e6i −0.0376139 + 0.501923i
\(676\) 732842. 1.86725e6i 0.0616799 0.157158i
\(677\) −2.05657e6 9.01040e6i −0.172453 0.755566i −0.984984 0.172648i \(-0.944768\pi\)
0.812531 0.582919i \(-0.198089\pi\)
\(678\) 292745. + 3.90641e6i 0.0244577 + 0.326365i
\(679\) 1.72547e7 + 5.32237e6i 1.43626 + 0.443028i
\(680\) −1.89116e6 + 910735.i −0.156840 + 0.0755300i
\(681\) −1.33563e7 + 2.31337e7i −1.10361 + 1.91152i
\(682\) −5.36133e6 9.28610e6i −0.441379 0.764491i
\(683\) 1.13685e7 + 7.75094e6i 0.932508 + 0.635773i 0.931311 0.364226i \(-0.118666\pi\)
0.00119775 + 0.999999i \(0.499619\pi\)
\(684\) 284292. 1.24556e6i 0.0232340 0.101795i
\(685\) 2.45893e6 + 370624.i 0.200226 + 0.0301792i
\(686\) 9.21228e6 + 1.15518e7i 0.747407 + 0.937218i
\(687\) 8.29262e6 0.670348
\(688\) 1.35037e7 5.78883e6i 1.08763 0.466251i
\(689\) 6.24712e6 0.501340
\(690\) −2.07733e6 2.60489e6i −0.166105 0.208289i
\(691\) −1.57875e7 2.37959e6i −1.25782 0.189586i −0.513898 0.857851i \(-0.671799\pi\)
−0.743923 + 0.668265i \(0.767037\pi\)
\(692\) −760138. + 3.33038e6i −0.0603430 + 0.264380i
\(693\) −1.26480e7 8.62324e6i −1.00043 0.682083i
\(694\) −128215. 222076.i −0.0101051 0.0175026i
\(695\) 1.58990e6 2.75378e6i 0.124855 0.216256i
\(696\) 1.25779e7 6.05721e6i 0.984206 0.473969i
\(697\) −8.19200e6 2.52690e6i −0.638716 0.197018i
\(698\) −702957. 9.38031e6i −0.0546122 0.728750i
\(699\) −3.72545e6 1.63223e7i −0.288394 1.26353i
\(700\) 995250. 2.53585e6i 0.0767692 0.195605i
\(701\) 1.57595e6 2.10296e7i 0.121129 1.61635i −0.523618 0.851953i \(-0.675418\pi\)
0.644747 0.764396i \(-0.276963\pi\)
\(702\) −9.64680e6 + 1.45402e6i −0.738823 + 0.111360i
\(703\) −2.46029e6 2.28282e6i −0.187758 0.174214i
\(704\) −7.91907e6 3.81362e6i −0.602203 0.290006i
\(705\) 2.65476e6 1.80998e6i 0.201165 0.137152i
\(706\) −4.61339e6 1.17547e7i −0.348344 0.887566i
\(707\) −1.38158e7 + 4.26161e6i −1.03951 + 0.320646i
\(708\) 699073. 648645.i 0.0524130 0.0486322i
\(709\) −1.45951e7 + 1.83017e7i −1.09042 + 1.36734i −0.165926 + 0.986138i \(0.553061\pi\)
−0.924492 + 0.381202i \(0.875510\pi\)
\(710\) −1.95687e6 + 2.45384e6i −0.145686 + 0.182684i
\(711\) 2.42962e7 2.25435e7i 1.80245 1.67243i
\(712\) 902719. 278452.i 0.0667348 0.0205850i
\(713\) −4.08420e6 1.04064e7i −0.300873 0.766611i
\(714\) 2.37882e7 1.62185e7i 1.74629 1.19060i
\(715\) −2.41438e6 1.16270e6i −0.176620 0.0850557i
\(716\) 3.95830e6 + 3.67276e6i 0.288553 + 0.267738i
\(717\) 3.77677e7 5.69257e6i 2.74361 0.413533i
\(718\) 585413. 7.81179e6i 0.0423791 0.565509i
\(719\) 3.45421e6 8.80119e6i 0.249188 0.634920i −0.750475 0.660899i \(-0.770175\pi\)
0.999662 + 0.0259791i \(0.00827033\pi\)
\(720\) 722089. + 3.16368e6i 0.0519110 + 0.227437i
\(721\) 1.30017e6 + 1.73496e7i 0.0931456 + 1.24294i
\(722\) −1.33594e7 4.12083e6i −0.953770 0.294199i
\(723\) −1.43509e7 + 6.91101e6i −1.02102 + 0.491695i
\(724\) 641721. 1.11149e6i 0.0454988 0.0788062i
\(725\) 5.85539e6 + 1.01418e7i 0.413724 + 0.716591i
\(726\) 805504. + 549184.i 0.0567187 + 0.0386702i
\(727\) 266911. 1.16941e6i 0.0187297 0.0820601i −0.964699 0.263354i \(-0.915171\pi\)
0.983429 + 0.181294i \(0.0580285\pi\)
\(728\) −1.38268e7 2.08406e6i −0.966929 0.145741i
\(729\) −1.36143e7 1.70718e7i −0.948804 1.18976i
\(730\) −999180. −0.0693964
\(731\) −2.38827e6 + 2.00408e7i −0.165307 + 1.38714i
\(732\) −6.10696e6 −0.421258
\(733\) 1.25502e7 + 1.57374e7i 0.862758 + 1.08186i 0.995872 + 0.0907636i \(0.0289308\pi\)
−0.133114 + 0.991101i \(0.542498\pi\)
\(734\) 1.97644e6 + 297900.i 0.135407 + 0.0204094i
\(735\) 155135. 679691.i 0.0105923 0.0464081i
\(736\) 6.10078e6 + 4.15944e6i 0.415136 + 0.283035i
\(737\) 7.45996e6 + 1.29210e7i 0.505904 + 0.876251i
\(738\) −5.27238e6 + 9.13204e6i −0.356341 + 0.617201i
\(739\) −8.43308e6 + 4.06116e6i −0.568035 + 0.273551i −0.695779 0.718256i \(-0.744941\pi\)
0.127744 + 0.991807i \(0.459226\pi\)
\(740\) −402628. 124194.i −0.0270286 0.00833723i
\(741\) −718664. 9.58991e6i −0.0480818 0.641607i
\(742\) 1.27078e6 + 5.56763e6i 0.0847343 + 0.371245i
\(743\) −4.11817e6 + 1.04929e7i −0.273673 + 0.697308i 0.726278 + 0.687401i \(0.241249\pi\)
−0.999951 + 0.00990639i \(0.996847\pi\)
\(744\) −1.13172e6 + 1.51018e7i −0.0749562 + 1.00022i
\(745\) 1.13776e6 171490.i 0.0751037 0.0113201i
\(746\) 6.19964e6 + 5.75243e6i 0.407868 + 0.378446i
\(747\) 1.05903e7 + 5.10001e6i 0.694394 + 0.334403i
\(748\) −4.35673e6 + 2.97037e6i −0.284712 + 0.194114i
\(749\) −7.00066e6 1.78374e7i −0.455968 1.16179i
\(750\) −7.31636e6 + 2.25680e6i −0.474943 + 0.146501i
\(751\) 2.13031e7 1.97664e7i 1.37830 1.27888i 0.457300 0.889313i \(-0.348817\pi\)
0.921000 0.389563i \(-0.127374\pi\)
\(752\) −1.23558e7 + 1.54937e7i −0.796759 + 0.999105i
\(753\) 2.10717e7 2.64231e7i 1.35429 1.69823i
\(754\) −1.40562e7 + 1.30423e7i −0.900411