Properties

Label 43.6.g.a.9.12
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 9.12
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.12

$q$-expansion

\(f(q)\) \(=\) \(q+(2.59848 + 3.25839i) q^{2} +(17.4103 + 2.62418i) q^{3} +(3.25566 - 14.2640i) q^{4} +(30.9820 + 21.1232i) q^{5} +(36.6897 + 63.5485i) q^{6} +(16.4293 - 28.4563i) q^{7} +(175.095 - 84.3211i) q^{8} +(64.0287 + 19.7502i) q^{9} +O(q^{10})\) \(q+(2.59848 + 3.25839i) q^{2} +(17.4103 + 2.62418i) q^{3} +(3.25566 - 14.2640i) q^{4} +(30.9820 + 21.1232i) q^{5} +(36.6897 + 63.5485i) q^{6} +(16.4293 - 28.4563i) q^{7} +(175.095 - 84.3211i) q^{8} +(64.0287 + 19.7502i) q^{9} +(11.6786 + 155.840i) q^{10} +(-51.4133 - 225.256i) q^{11} +(94.1133 - 239.797i) q^{12} +(-69.9136 + 932.932i) q^{13} +(135.413 - 20.4102i) q^{14} +(483.976 + 449.064i) q^{15} +(307.910 + 148.282i) q^{16} +(-1145.63 + 781.080i) q^{17} +(102.023 + 259.951i) q^{18} +(1320.70 - 407.383i) q^{19} +(402.168 - 373.157i) q^{20} +(360.713 - 452.320i) q^{21} +(600.377 - 752.848i) q^{22} +(-911.064 + 845.344i) q^{23} +(3269.73 - 1008.58i) q^{24} +(-627.993 - 1600.10i) q^{25} +(-3221.53 + 2196.40i) q^{26} +(-2791.86 - 1344.49i) q^{27} +(-352.412 - 326.991i) q^{28} +(-4240.94 + 639.219i) q^{29} +(-205.624 + 2743.87i) q^{30} +(1435.49 - 3657.58i) q^{31} +(-1066.89 - 4674.37i) q^{32} +(-304.008 - 4056.70i) q^{33} +(-5521.97 - 1703.30i) q^{34} +(1110.10 - 534.597i) q^{35} +(490.172 - 849.003i) q^{36} +(-591.148 - 1023.90i) q^{37} +(4759.24 + 3244.79i) q^{38} +(-3665.40 + 16059.2i) q^{39} +(7205.92 + 1086.12i) q^{40} +(-2712.84 - 3401.79i) q^{41} +2411.14 q^{42} +(-6884.11 - 9980.85i) q^{43} -3380.43 q^{44} +(1566.55 + 1964.39i) q^{45} +(-5121.84 - 771.994i) q^{46} +(1258.61 - 5514.34i) q^{47} +(4971.69 + 3389.64i) q^{48} +(7863.66 + 13620.3i) q^{49} +(3581.92 - 6204.08i) q^{50} +(-21995.6 + 10592.5i) q^{51} +(13079.7 + 4034.55i) q^{52} +(1541.20 + 20565.9i) q^{53} +(-2873.72 - 12590.6i) q^{54} +(3165.25 - 8064.91i) q^{55} +(477.207 - 6367.88i) q^{56} +(24062.9 - 3626.90i) q^{57} +(-13102.8 - 12157.6i) q^{58} +(26554.7 + 12788.1i) q^{59} +(7981.10 - 5441.42i) q^{60} +(10639.7 + 27109.5i) q^{61} +(15647.9 - 4826.75i) q^{62} +(1613.96 - 1497.54i) q^{63} +(19277.2 - 24172.8i) q^{64} +(-21872.6 + 27427.3i) q^{65} +(12428.4 - 11531.8i) q^{66} +(6590.35 - 2032.85i) q^{67} +(7411.51 + 18884.2i) q^{68} +(-18080.3 + 12326.9i) q^{69} +(4626.50 + 2228.00i) q^{70} +(-2709.75 - 2514.28i) q^{71} +(12876.4 - 1940.81i) q^{72} +(921.835 - 12301.0i) q^{73} +(1800.17 - 4586.77i) q^{74} +(-6734.60 - 29506.2i) q^{75} +(-1511.14 - 20164.8i) q^{76} +(-7254.65 - 2237.76i) q^{77} +(-61851.5 + 29786.1i) q^{78} +(-37005.1 + 64094.7i) q^{79} +(6407.50 + 11098.1i) q^{80} +(-58532.1 - 39906.5i) q^{81} +(4035.11 - 17679.0i) q^{82} +(-72665.9 - 10952.6i) q^{83} +(-5277.52 - 6617.81i) q^{84} -51993.0 q^{85} +(14633.3 - 48366.2i) q^{86} -75513.6 q^{87} +(-27996.0 - 35105.9i) q^{88} +(52589.5 + 7926.59i) q^{89} +(-2330.11 + 10208.9i) q^{90} +(25399.2 + 17316.9i) q^{91} +(9091.85 + 15747.5i) q^{92} +(34590.6 - 59912.6i) q^{93} +(21238.4 - 10227.9i) q^{94} +(49523.4 + 15275.9i) q^{95} +(-6308.57 - 84182.0i) q^{96} +(-8979.63 - 39342.3i) q^{97} +(-23946.6 + 61014.8i) q^{98} +(1156.94 - 15438.3i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.59848 + 3.25839i 0.459351 + 0.576007i 0.956528 0.291642i \(-0.0942015\pi\)
−0.497177 + 0.867649i \(0.665630\pi\)
\(3\) 17.4103 + 2.62418i 1.11687 + 0.168341i 0.681436 0.731878i \(-0.261356\pi\)
0.435437 + 0.900219i \(0.356594\pi\)
\(4\) 3.25566 14.2640i 0.101739 0.445749i
\(5\) 30.9820 + 21.1232i 0.554224 + 0.377863i 0.807804 0.589451i \(-0.200656\pi\)
−0.253580 + 0.967314i \(0.581608\pi\)
\(6\) 36.6897 + 63.5485i 0.416070 + 0.720655i
\(7\) 16.4293 28.4563i 0.126728 0.219500i −0.795679 0.605719i \(-0.792886\pi\)
0.922407 + 0.386219i \(0.126219\pi\)
\(8\) 175.095 84.3211i 0.967270 0.465813i
\(9\) 64.0287 + 19.7502i 0.263493 + 0.0812767i
\(10\) 11.6786 + 155.840i 0.0369309 + 0.492809i
\(11\) −51.4133 225.256i −0.128113 0.561300i −0.997716 0.0675484i \(-0.978482\pi\)
0.869603 0.493752i \(-0.164375\pi\)
\(12\) 94.1133 239.797i 0.188668 0.480718i
\(13\) −69.9136 + 932.932i −0.114737 + 1.53106i 0.581679 + 0.813419i \(0.302396\pi\)
−0.696415 + 0.717639i \(0.745223\pi\)
\(14\) 135.413 20.4102i 0.184646 0.0278309i
\(15\) 483.976 + 449.064i 0.555387 + 0.515324i
\(16\) 307.910 + 148.282i 0.300693 + 0.144806i
\(17\) −1145.63 + 781.080i −0.961444 + 0.655501i −0.938880 0.344244i \(-0.888135\pi\)
−0.0225635 + 0.999745i \(0.507183\pi\)
\(18\) 102.023 + 259.951i 0.0742195 + 0.189108i
\(19\) 1320.70 407.383i 0.839309 0.258892i 0.154844 0.987939i \(-0.450512\pi\)
0.684464 + 0.729046i \(0.260036\pi\)
\(20\) 402.168 373.157i 0.224819 0.208601i
\(21\) 360.713 452.320i 0.178490 0.223819i
\(22\) 600.377 752.848i 0.264464 0.331628i
\(23\) −911.064 + 845.344i −0.359112 + 0.333207i −0.839009 0.544118i \(-0.816864\pi\)
0.479897 + 0.877325i \(0.340674\pi\)
\(24\) 3269.73 1008.58i 1.15873 0.357422i
\(25\) −627.993 1600.10i −0.200958 0.512032i
\(26\) −3221.53 + 2196.40i −0.934605 + 0.637203i
\(27\) −2791.86 1344.49i −0.737028 0.354934i
\(28\) −352.412 326.991i −0.0849485 0.0788207i
\(29\) −4240.94 + 639.219i −0.936413 + 0.141141i −0.599482 0.800388i \(-0.704627\pi\)
−0.336930 + 0.941530i \(0.609389\pi\)
\(30\) −205.624 + 2743.87i −0.0417130 + 0.556622i
\(31\) 1435.49 3657.58i 0.268285 0.683580i −0.731713 0.681613i \(-0.761279\pi\)
0.999998 0.00196698i \(-0.000626110\pi\)
\(32\) −1066.89 4674.37i −0.184182 0.806953i
\(33\) −304.008 4056.70i −0.0485959 0.648467i
\(34\) −5521.97 1703.30i −0.819213 0.252694i
\(35\) 1110.10 534.597i 0.153177 0.0737660i
\(36\) 490.172 849.003i 0.0630366 0.109183i
\(37\) −591.148 1023.90i −0.0709891 0.122957i 0.828346 0.560217i \(-0.189282\pi\)
−0.899335 + 0.437260i \(0.855949\pi\)
\(38\) 4759.24 + 3244.79i 0.534661 + 0.364526i
\(39\) −3665.40 + 16059.2i −0.385887 + 1.69068i
\(40\) 7205.92 + 1086.12i 0.712097 + 0.107331i
\(41\) −2712.84 3401.79i −0.252037 0.316044i 0.639677 0.768644i \(-0.279068\pi\)
−0.891714 + 0.452600i \(0.850497\pi\)
\(42\) 2411.14 0.210911
\(43\) −6884.11 9980.85i −0.567776 0.823183i
\(44\) −3380.43 −0.263233
\(45\) 1566.55 + 1964.39i 0.115322 + 0.144610i
\(46\) −5121.84 771.994i −0.356888 0.0537922i
\(47\) 1258.61 5514.34i 0.0831089 0.364124i −0.916223 0.400668i \(-0.868778\pi\)
0.999332 + 0.0365445i \(0.0116351\pi\)
\(48\) 4971.69 + 3389.64i 0.311459 + 0.212349i
\(49\) 7863.66 + 13620.3i 0.467880 + 0.810392i
\(50\) 3581.92 6204.08i 0.202624 0.350955i
\(51\) −21995.6 + 10592.5i −1.18416 + 0.570260i
\(52\) 13079.7 + 4034.55i 0.670794 + 0.206913i
\(53\) 1541.20 + 20565.9i 0.0753649 + 1.00568i 0.898827 + 0.438304i \(0.144421\pi\)
−0.823462 + 0.567371i \(0.807960\pi\)
\(54\) −2873.72 12590.6i −0.134110 0.587573i
\(55\) 3165.25 8064.91i 0.141091 0.359495i
\(56\) 477.207 6367.88i 0.0203346 0.271347i
\(57\) 24062.9 3626.90i 0.980983 0.147859i
\(58\) −13102.8 12157.6i −0.511440 0.474547i
\(59\) 26554.7 + 12788.1i 0.993141 + 0.478271i 0.858605 0.512637i \(-0.171331\pi\)
0.134536 + 0.990909i \(0.457046\pi\)
\(60\) 7981.10 5441.42i 0.286210 0.195135i
\(61\) 10639.7 + 27109.5i 0.366104 + 0.932819i 0.988650 + 0.150236i \(0.0480032\pi\)
−0.622546 + 0.782583i \(0.713902\pi\)
\(62\) 15647.9 4826.75i 0.516984 0.159469i
\(63\) 1613.96 1497.54i 0.0512321 0.0475365i
\(64\) 19277.2 24172.8i 0.588293 0.737696i
\(65\) −21872.6 + 27427.3i −0.642120 + 0.805194i
\(66\) 12428.4 11531.8i 0.351200 0.325866i
\(67\) 6590.35 2032.85i 0.179358 0.0553247i −0.203775 0.979018i \(-0.565321\pi\)
0.383133 + 0.923693i \(0.374845\pi\)
\(68\) 7411.51 + 18884.2i 0.194372 + 0.495253i
\(69\) −18080.3 + 12326.9i −0.457174 + 0.311696i
\(70\) 4626.50 + 2228.00i 0.112852 + 0.0543464i
\(71\) −2709.75 2514.28i −0.0637944 0.0591926i 0.647631 0.761954i \(-0.275760\pi\)
−0.711426 + 0.702761i \(0.751950\pi\)
\(72\) 12876.4 1940.81i 0.292728 0.0441217i
\(73\) 921.835 12301.0i 0.0202463 0.270168i −0.977889 0.209125i \(-0.932938\pi\)
0.998135 0.0610429i \(-0.0194427\pi\)
\(74\) 1800.17 4586.77i 0.0382151 0.0973705i
\(75\) −6734.60 29506.2i −0.138248 0.605704i
\(76\) −1511.14 20164.8i −0.0300104 0.400461i
\(77\) −7254.65 2237.76i −0.139441 0.0430118i
\(78\) −61851.5 + 29786.1i −1.15110 + 0.554342i
\(79\) −37005.1 + 64094.7i −0.667104 + 1.15546i 0.311606 + 0.950211i \(0.399133\pi\)
−0.978710 + 0.205247i \(0.934200\pi\)
\(80\) 6407.50 + 11098.1i 0.111934 + 0.193876i
\(81\) −58532.1 39906.5i −0.991246 0.675820i
\(82\) 4035.11 17679.0i 0.0662706 0.290350i
\(83\) −72665.9 10952.6i −1.15780 0.174511i −0.458072 0.888915i \(-0.651460\pi\)
−0.699733 + 0.714404i \(0.746698\pi\)
\(84\) −5277.52 6617.81i −0.0816079 0.102333i
\(85\) −51993.0 −0.780545
\(86\) 14633.3 48366.2i 0.213351 0.705173i
\(87\) −75513.6 −1.06961
\(88\) −27996.0 35105.9i −0.385381 0.483252i
\(89\) 52589.5 + 7926.59i 0.703759 + 0.106075i 0.491166 0.871066i \(-0.336571\pi\)
0.212593 + 0.977141i \(0.431809\pi\)
\(90\) −2330.11 + 10208.9i −0.0303228 + 0.132853i
\(91\) 25399.2 + 17316.9i 0.321526 + 0.219213i
\(92\) 9091.85 + 15747.5i 0.111991 + 0.193974i
\(93\) 34590.6 59912.6i 0.414716 0.718308i
\(94\) 21238.4 10227.9i 0.247914 0.119389i
\(95\) 49523.4 + 15275.9i 0.562991 + 0.173660i
\(96\) −6308.57 84182.0i −0.0698639 0.932269i
\(97\) −8979.63 39342.3i −0.0969012 0.424552i 0.903087 0.429458i \(-0.141295\pi\)
−0.999988 + 0.00490624i \(0.998438\pi\)
\(98\) −23946.6 + 61014.8i −0.251871 + 0.641756i
\(99\) 1156.94 15438.3i 0.0118638 0.158311i
\(100\) −24868.3 + 3748.30i −0.248683 + 0.0374830i
\(101\) 128534. + 119262.i 1.25376 + 1.16332i 0.979452 + 0.201677i \(0.0646391\pi\)
0.274308 + 0.961642i \(0.411551\pi\)
\(102\) −91669.5 44145.7i −0.872418 0.420134i
\(103\) 123773. 84387.1i 1.14956 0.783760i 0.170110 0.985425i \(-0.445588\pi\)
0.979454 + 0.201666i \(0.0646354\pi\)
\(104\) 66424.3 + 169246.i 0.602204 + 1.53439i
\(105\) 20730.1 6394.39i 0.183497 0.0566012i
\(106\) −63006.9 + 58461.9i −0.544657 + 0.505368i
\(107\) 53705.1 67344.0i 0.453478 0.568643i −0.501562 0.865122i \(-0.667241\pi\)
0.955039 + 0.296479i \(0.0958124\pi\)
\(108\) −28267.1 + 35445.8i −0.233196 + 0.292419i
\(109\) 59869.9 55551.2i 0.482661 0.447844i −0.400926 0.916110i \(-0.631312\pi\)
0.883587 + 0.468266i \(0.155121\pi\)
\(110\) 34503.5 10642.9i 0.271882 0.0838646i
\(111\) −7605.17 19377.7i −0.0585870 0.149277i
\(112\) 9278.29 6325.83i 0.0698913 0.0476510i
\(113\) −29031.7 13980.9i −0.213883 0.103001i 0.323875 0.946100i \(-0.395014\pi\)
−0.537758 + 0.843099i \(0.680729\pi\)
\(114\) 74344.9 + 68982.0i 0.535783 + 0.497134i
\(115\) −46083.0 + 6945.90i −0.324935 + 0.0489760i
\(116\) −4689.25 + 62573.7i −0.0323563 + 0.431765i
\(117\) −22902.1 + 58353.6i −0.154672 + 0.394097i
\(118\) 27333.3 + 119755.i 0.180712 + 0.791751i
\(119\) 3404.74 + 45433.1i 0.0220403 + 0.294107i
\(120\) 122607. + 37819.3i 0.777254 + 0.239751i
\(121\) 97004.9 46715.1i 0.602324 0.290064i
\(122\) −60686.4 + 105112.i −0.369140 + 0.639370i
\(123\) −38304.4 66345.2i −0.228290 0.395409i
\(124\) −47498.1 32383.7i −0.277410 0.189135i
\(125\) 40417.8 177082.i 0.231365 1.01368i
\(126\) 9073.42 + 1367.60i 0.0509149 + 0.00767418i
\(127\) −85075.8 106682.i −0.468055 0.586922i 0.490639 0.871363i \(-0.336763\pi\)
−0.958694 + 0.284441i \(0.908192\pi\)
\(128\) −24570.6 −0.132554
\(129\) −93663.1 191835.i −0.495557 1.01497i
\(130\) −146204. −0.758756
\(131\) 235606. + 295441.i 1.19952 + 1.50415i 0.813400 + 0.581705i \(0.197614\pi\)
0.386122 + 0.922448i \(0.373814\pi\)
\(132\) −58854.4 8870.88i −0.293998 0.0443131i
\(133\) 10105.6 44275.4i 0.0495372 0.217037i
\(134\) 23748.7 + 16191.6i 0.114256 + 0.0778983i
\(135\) −58097.6 100628.i −0.274362 0.475209i
\(136\) −134733. + 233364.i −0.624635 + 1.08190i
\(137\) 26696.9 12856.6i 0.121523 0.0585226i −0.372134 0.928179i \(-0.621374\pi\)
0.493658 + 0.869656i \(0.335660\pi\)
\(138\) −87147.1 26881.3i −0.389543 0.120158i
\(139\) 17926.0 + 239206.i 0.0786951 + 1.05011i 0.887128 + 0.461524i \(0.152697\pi\)
−0.808433 + 0.588589i \(0.799684\pi\)
\(140\) −4011.36 17574.9i −0.0172970 0.0757832i
\(141\) 36383.5 92703.7i 0.154119 0.392689i
\(142\) 1151.28 15362.7i 0.00479136 0.0639362i
\(143\) 213743. 32216.6i 0.874082 0.131747i
\(144\) 16786.5 + 15575.6i 0.0674611 + 0.0625947i
\(145\) −144895. 69777.9i −0.572314 0.275612i
\(146\) 42476.9 28960.3i 0.164919 0.112440i
\(147\) 101167. + 257769.i 0.386140 + 0.983868i
\(148\) −16529.4 + 5098.65i −0.0620302 + 0.0191338i
\(149\) −123859. + 114924.i −0.457048 + 0.424079i −0.874801 0.484482i \(-0.839008\pi\)
0.417753 + 0.908561i \(0.362818\pi\)
\(150\) 78643.1 98615.3i 0.285386 0.357862i
\(151\) 205075. 257156.i 0.731932 0.917813i −0.267015 0.963692i \(-0.586037\pi\)
0.998947 + 0.0458791i \(0.0146089\pi\)
\(152\) 196897. 182694.i 0.691242 0.641379i
\(153\) −88780.0 + 27385.0i −0.306610 + 0.0945767i
\(154\) −11559.6 29453.3i −0.0392771 0.100076i
\(155\) 121734. 82997.1i 0.406990 0.277481i
\(156\) 217134. + 104566.i 0.714360 + 0.344017i
\(157\) −335341. 311151.i −1.08577 1.00745i −0.999938 0.0111377i \(-0.996455\pi\)
−0.0858320 0.996310i \(-0.527355\pi\)
\(158\) −305002. + 45971.7i −0.971987 + 0.146503i
\(159\) −27135.9 + 362103.i −0.0851238 + 1.13590i
\(160\) 65683.1 167358.i 0.202840 0.516828i
\(161\) 9087.27 + 39813.9i 0.0276292 + 0.121052i
\(162\) −22063.5 294417.i −0.0660521 0.881403i
\(163\) −350098. 107991.i −1.03210 0.318360i −0.267972 0.963427i \(-0.586354\pi\)
−0.764127 + 0.645066i \(0.776830\pi\)
\(164\) −57355.1 + 27620.8i −0.166518 + 0.0801911i
\(165\) 76271.7 132107.i 0.218099 0.377759i
\(166\) −153133. 265234.i −0.431319 0.747066i
\(167\) 430206. + 293309.i 1.19367 + 0.813832i 0.986386 0.164448i \(-0.0525844\pi\)
0.207286 + 0.978280i \(0.433537\pi\)
\(168\) 25018.8 109615.i 0.0683901 0.299637i
\(169\) −498328. 75110.8i −1.34214 0.202295i
\(170\) −135103. 169414.i −0.358544 0.449600i
\(171\) 92608.9 0.242193
\(172\) −164779. + 65700.6i −0.424698 + 0.169336i
\(173\) −527531. −1.34009 −0.670043 0.742322i \(-0.733725\pi\)
−0.670043 + 0.742322i \(0.733725\pi\)
\(174\) −196220. 246053.i −0.491328 0.616105i
\(175\) −55850.4 8418.10i −0.137858 0.0207787i
\(176\) 17570.7 76982.3i 0.0427570 0.187331i
\(177\) 428767. + 292328.i 1.02870 + 0.701355i
\(178\) 110825. + 191954.i 0.262172 + 0.454096i
\(179\) −130903. + 226731.i −0.305364 + 0.528907i −0.977342 0.211664i \(-0.932112\pi\)
0.671978 + 0.740571i \(0.265445\pi\)
\(180\) 33120.2 15949.9i 0.0761924 0.0366923i
\(181\) −626089. 193123.i −1.42049 0.438164i −0.513058 0.858354i \(-0.671487\pi\)
−0.907436 + 0.420190i \(0.861963\pi\)
\(182\) 9574.14 + 127758.i 0.0214250 + 0.285897i
\(183\) 114100. + 499906.i 0.251860 + 1.10347i
\(184\) −88242.0 + 224837.i −0.192146 + 0.489580i
\(185\) 3313.03 44209.4i 0.00711699 0.0949697i
\(186\) 285102. 42972.2i 0.604251 0.0910762i
\(187\) 234844. + 217903.i 0.491106 + 0.455680i
\(188\) −74558.8 35905.6i −0.153852 0.0740914i
\(189\) −84127.4 + 57357.1i −0.171310 + 0.116797i
\(190\) 78910.5 + 201061.i 0.158581 + 0.404057i
\(191\) 401234. 123764.i 0.795819 0.245478i 0.129925 0.991524i \(-0.458526\pi\)
0.665894 + 0.746046i \(0.268050\pi\)
\(192\) 399056. 370270.i 0.781233 0.724879i
\(193\) 546631. 685454.i 1.05633 1.32460i 0.112693 0.993630i \(-0.464052\pi\)
0.943641 0.330971i \(-0.107376\pi\)
\(194\) 104859. 131489.i 0.200033 0.250834i
\(195\) −452783. + 420121.i −0.852714 + 0.791203i
\(196\) 219880. 67824.1i 0.408833 0.126108i
\(197\) 59564.0 + 151767.i 0.109350 + 0.278619i 0.975065 0.221917i \(-0.0712315\pi\)
−0.865716 + 0.500536i \(0.833136\pi\)
\(198\) 53310.2 36346.3i 0.0966380 0.0658866i
\(199\) 774055. + 372765.i 1.38560 + 0.667271i 0.970186 0.242360i \(-0.0779214\pi\)
0.415417 + 0.909631i \(0.363636\pi\)
\(200\) −244880. 227216.i −0.432891 0.401665i
\(201\) 120075. 18098.3i 0.209634 0.0315972i
\(202\) −54609.5 + 728714.i −0.0941651 + 1.25655i
\(203\) −51485.7 + 131184.i −0.0876893 + 0.223429i
\(204\) 79481.1 + 348230.i 0.133718 + 0.585855i
\(205\) −12192.5 162698.i −0.0202633 0.270395i
\(206\) 596588. + 184023.i 0.979504 + 0.302137i
\(207\) −75030.0 + 36132.5i −0.121705 + 0.0586101i
\(208\) −159864. + 276892.i −0.256207 + 0.443764i
\(209\) −159667. 276552.i −0.252843 0.437936i
\(210\) 74702.1 + 50931.1i 0.116892 + 0.0796956i
\(211\) −123546. + 541291.i −0.191039 + 0.836998i 0.785016 + 0.619476i \(0.212655\pi\)
−0.976055 + 0.217522i \(0.930202\pi\)
\(212\) 298369. + 44971.9i 0.455946 + 0.0687229i
\(213\) −40579.6 50885.2i −0.0612857 0.0768498i
\(214\) 358985. 0.535848
\(215\) −2456.42 454642.i −0.00362416 0.670769i
\(216\) −602208. −0.878238
\(217\) −80497.2 100940.i −0.116046 0.145517i
\(218\) 336578. + 50731.0i 0.479672 + 0.0722990i
\(219\) 48329.6 211746.i 0.0680931 0.298335i
\(220\) −104733. 71405.6i −0.145890 0.0994662i
\(221\) −648599. 1.12341e6i −0.893297 1.54724i
\(222\) 43378.1 75133.1i 0.0590729 0.102317i
\(223\) 977830. 470898.i 1.31674 0.634110i 0.362177 0.932109i \(-0.382034\pi\)
0.954566 + 0.297999i \(0.0963193\pi\)
\(224\) −150544. 46436.6i −0.200467 0.0618358i
\(225\) −8607.22 114855.i −0.0113346 0.151250i
\(226\) −29882.9 130926.i −0.0389182 0.170512i
\(227\) −424773. + 1.08230e6i −0.547132 + 1.39407i 0.343418 + 0.939183i \(0.388415\pi\)
−0.890550 + 0.454886i \(0.849680\pi\)
\(228\) 26606.6 355041.i 0.0338963 0.452315i
\(229\) 1.26147e6 190136.i 1.58960 0.239594i 0.706130 0.708082i \(-0.250440\pi\)
0.883469 + 0.468489i \(0.155201\pi\)
\(230\) −142378. 132108.i −0.177470 0.164668i
\(231\) −120433. 57997.7i −0.148497 0.0715123i
\(232\) −688666. + 469524.i −0.840018 + 0.572715i
\(233\) −87610.5 223228.i −0.105722 0.269376i 0.868217 0.496184i \(-0.165266\pi\)
−0.973939 + 0.226809i \(0.927171\pi\)
\(234\) −249649. + 77006.6i −0.298051 + 0.0919366i
\(235\) 155475. 144260.i 0.183650 0.170402i
\(236\) 268861. 337141.i 0.314231 0.394033i
\(237\) −812466. + 1.01880e6i −0.939581 + 1.17820i
\(238\) −139192. + 129151.i −0.159284 + 0.147794i
\(239\) −727764. + 224486.i −0.824131 + 0.254211i −0.678007 0.735056i \(-0.737156\pi\)
−0.146124 + 0.989266i \(0.546680\pi\)
\(240\) 82433.1 + 210036.i 0.0923791 + 0.235378i
\(241\) 370910. 252882.i 0.411364 0.280463i −0.339904 0.940460i \(-0.610395\pi\)
0.751269 + 0.659997i \(0.229442\pi\)
\(242\) 404281. + 194692.i 0.443757 + 0.213702i
\(243\) −362359. 336220.i −0.393661 0.365264i
\(244\) 421329. 63505.1i 0.453050 0.0682864i
\(245\) −44071.2 + 588089.i −0.0469072 + 0.625933i
\(246\) 116645. 297208.i 0.122894 0.313128i
\(247\) 287726. + 1.26061e6i 0.300079 + 1.31473i
\(248\) −57063.9 761465.i −0.0589158 0.786177i
\(249\) −1.23639e6 381377.i −1.26374 0.389813i
\(250\) 682027. 328447.i 0.690163 0.332365i
\(251\) −47886.3 + 82941.6i −0.0479764 + 0.0830975i −0.889016 0.457875i \(-0.848611\pi\)
0.841040 + 0.540973i \(0.181944\pi\)
\(252\) −16106.3 27897.0i −0.0159770 0.0276730i
\(253\) 237260. + 161761.i 0.233036 + 0.158881i
\(254\) 126543. 554420.i 0.123070 0.539206i
\(255\) −905215. 136439.i −0.871769 0.131398i
\(256\) −680716. 853591.i −0.649182 0.814048i
\(257\) −1.90519e6 −1.79931 −0.899656 0.436599i \(-0.856183\pi\)
−0.899656 + 0.436599i \(0.856183\pi\)
\(258\) 381692. 803670.i 0.356996 0.751672i
\(259\) −38848.5 −0.0359853
\(260\) 320013. + 401284.i 0.293585 + 0.368144i
\(261\) −284167. 42831.2i −0.258209 0.0389188i
\(262\) −350443. + 1.53539e6i −0.315402 + 1.38187i
\(263\) −855201. 583066.i −0.762393 0.519791i 0.118587 0.992944i \(-0.462163\pi\)
−0.880980 + 0.473153i \(0.843116\pi\)
\(264\) −395296. 684672.i −0.349070 0.604606i
\(265\) −386668. + 669728.i −0.338239 + 0.585847i
\(266\) 170526. 82120.8i 0.147770 0.0711622i
\(267\) 894799. + 276009.i 0.768152 + 0.236944i
\(268\) −7540.64 100623.i −0.00641315 0.0855775i
\(269\) 147845. + 647751.i 0.124573 + 0.545792i 0.998242 + 0.0592703i \(0.0188774\pi\)
−0.873669 + 0.486522i \(0.838265\pi\)
\(270\) 176920. 450785.i 0.147695 0.376322i
\(271\) 136939. 1.82732e6i 0.113267 1.51144i −0.593981 0.804479i \(-0.702445\pi\)
0.707248 0.706966i \(-0.249936\pi\)
\(272\) −468572. + 70625.9i −0.384020 + 0.0578818i
\(273\) 396765. + 368144.i 0.322201 + 0.298959i
\(274\) 111263. + 53581.5i 0.0895314 + 0.0431160i
\(275\) −328145. + 223726.i −0.261658 + 0.178396i
\(276\) 116968. + 298028.i 0.0924257 + 0.235497i
\(277\) 228216. 70395.2i 0.178709 0.0551244i −0.204109 0.978948i \(-0.565430\pi\)
0.382818 + 0.923824i \(0.374954\pi\)
\(278\) −732848. + 679983.i −0.568724 + 0.527699i
\(279\) 164151. 205839.i 0.126250 0.158313i
\(280\) 149295. 187210.i 0.113802 0.142703i
\(281\) 1.17554e6 1.09074e6i 0.888119 0.824054i −0.0971135 0.995273i \(-0.530961\pi\)
0.985233 + 0.171219i \(0.0547705\pi\)
\(282\) 396607. 122337.i 0.296987 0.0916083i
\(283\) 59865.2 + 152534.i 0.0444333 + 0.113214i 0.951368 0.308058i \(-0.0996790\pi\)
−0.906934 + 0.421272i \(0.861584\pi\)
\(284\) −44685.6 + 30466.1i −0.0328754 + 0.0224141i
\(285\) 822131. + 395917.i 0.599555 + 0.288730i
\(286\) 660382. + 612745.i 0.477397 + 0.442960i
\(287\) −141372. + 21308.5i −0.101312 + 0.0152703i
\(288\) 24008.0 320365.i 0.0170559 0.227596i
\(289\) 183660. 467958.i 0.129351 0.329581i
\(290\) −149144. 653442.i −0.104138 0.456260i
\(291\) −53096.7 708527.i −0.0367566 0.490483i
\(292\) −172460. 53197.0i −0.118367 0.0365115i
\(293\) −398983. + 192140.i −0.271510 + 0.130752i −0.564685 0.825307i \(-0.691002\pi\)
0.293175 + 0.956059i \(0.405288\pi\)
\(294\) −577031. + 999447.i −0.389342 + 0.674360i
\(295\) 552593. + 957120.i 0.369701 + 0.640341i
\(296\) −189843. 129433.i −0.125940 0.0858647i
\(297\) −159316. + 698008.i −0.104802 + 0.459166i
\(298\) −696314. 104952.i −0.454218 0.0684623i
\(299\) −724953. 909062.i −0.468956 0.588052i
\(300\) −442802. −0.284057
\(301\) −397119. + 31918.5i −0.252642 + 0.0203061i
\(302\) 1.37080e6 0.864880
\(303\) 1.92485e6 + 2.41369e6i 1.20445 + 1.51034i
\(304\) 467066. + 70398.8i 0.289864 + 0.0436899i
\(305\) −243000. + 1.06465e6i −0.149574 + 0.655328i
\(306\) −319924. 218121.i −0.195318 0.133166i
\(307\) −584936. 1.01314e6i −0.354211 0.613512i 0.632772 0.774339i \(-0.281917\pi\)
−0.986983 + 0.160827i \(0.948584\pi\)
\(308\) −55538.0 + 96194.7i −0.0333591 + 0.0577796i
\(309\) 2.37638e6 1.14440e6i 1.41586 0.681840i
\(310\) 586761. + 180992.i 0.346782 + 0.106968i
\(311\) −107923. 1.44013e6i −0.0632722 0.844309i −0.935075 0.354451i \(-0.884668\pi\)
0.871802 0.489858i \(-0.162951\pi\)
\(312\) 712335. + 3.12094e6i 0.414284 + 1.81510i
\(313\) 242157. 617005.i 0.139713 0.355982i −0.843842 0.536591i \(-0.819712\pi\)
0.983555 + 0.180609i \(0.0578070\pi\)
\(314\) 142475. 1.90119e6i 0.0815481 1.08818i
\(315\) 81636.7 12304.8i 0.0463563 0.00698709i
\(316\) 793768. + 736509.i 0.447174 + 0.414916i
\(317\) 2.75723e6 + 1.32781e6i 1.54108 + 0.742144i 0.995396 0.0958475i \(-0.0305561\pi\)
0.545683 + 0.837992i \(0.316270\pi\)
\(318\) −1.25038e6 + 852498.i −0.693387 + 0.472744i
\(319\) 362029. + 922434.i 0.199189 + 0.507526i
\(320\) 1.10785e6 341728.i 0.604794 0.186554i
\(321\) 1.11175e6 1.03155e6i 0.602203 0.558763i
\(322\) −106116. + 133066.i −0.0570351 + 0.0715198i
\(323\) −1.19485e6 + 1.49829e6i −0.637244 + 0.799078i
\(324\) −759786. + 704978.i −0.402095 + 0.373089i
\(325\) 1.53669e6 474006.i 0.807008 0.248929i
\(326\) −557847. 1.42137e6i −0.290717 0.740736i
\(327\) 1.18813e6 810054.i 0.614462 0.418933i
\(328\) −761846. 366885.i −0.391005 0.188298i
\(329\) −136240. 126412.i −0.0693928 0.0643871i
\(330\) 628645. 94753.0i 0.317776 0.0478970i
\(331\) −44043.7 + 587723.i −0.0220960 + 0.294851i 0.975198 + 0.221334i \(0.0710412\pi\)
−0.997294 + 0.0735166i \(0.976578\pi\)
\(332\) −392803. + 1.00085e6i −0.195582 + 0.498336i
\(333\) −17628.2 77234.1i −0.00871158 0.0381679i
\(334\) 162165. + 2.16394e6i 0.0795408 + 1.06140i
\(335\) 247123. + 76227.3i 0.120310 + 0.0371107i
\(336\) 178138. 85786.8i 0.0860813 0.0414546i
\(337\) −735772. + 1.27439e6i −0.352914 + 0.611264i −0.986759 0.162196i \(-0.948142\pi\)
0.633845 + 0.773460i \(0.281476\pi\)
\(338\) −1.05015e6 1.81892e6i −0.499990 0.866008i
\(339\) −468762. 319597.i −0.221541 0.151044i
\(340\) −169272. + 741627.i −0.0794121 + 0.347927i
\(341\) −897696. 135306.i −0.418065 0.0630131i
\(342\) 240642. + 301756.i 0.111252 + 0.139505i
\(343\) 1.06903e6 0.490631
\(344\) −2.04697e6 1.16712e6i −0.932642 0.531763i
\(345\) −820547. −0.371155
\(346\) −1.37078e6 1.71890e6i −0.615570 0.771900i
\(347\) −4.25213e6 640905.i −1.89576 0.285739i −0.905430 0.424495i \(-0.860452\pi\)
−0.990327 + 0.138755i \(0.955690\pi\)
\(348\) −245846. + 1.07712e6i −0.108822 + 0.476779i
\(349\) −2.57790e6 1.75758e6i −1.13293 0.772417i −0.156375 0.987698i \(-0.549981\pi\)
−0.976552 + 0.215281i \(0.930933\pi\)
\(350\) −117697. 203857.i −0.0513564 0.0889519i
\(351\) 1.44950e6 2.51062e6i 0.627989 1.08771i
\(352\) −998079. + 480649.i −0.429347 + 0.206762i
\(353\) −865706. 267035.i −0.369772 0.114059i 0.104300 0.994546i \(-0.466740\pi\)
−0.474071 + 0.880486i \(0.657216\pi\)
\(354\) 161622. + 2.15670e6i 0.0685477 + 0.914706i
\(355\) −30843.9 135136.i −0.0129897 0.0569115i
\(356\) 284278. 724329.i 0.118883 0.302908i
\(357\) −59947.2 + 799940.i −0.0248942 + 0.332190i
\(358\) −1.07893e6 + 162622.i −0.444924 + 0.0670614i
\(359\) 2.30198e6 + 2.13593e6i 0.942683 + 0.874682i 0.992271 0.124088i \(-0.0396005\pi\)
−0.0495883 + 0.998770i \(0.515791\pi\)
\(360\) 439934. + 211861.i 0.178909 + 0.0861579i
\(361\) −467550. + 318770.i −0.188825 + 0.128739i
\(362\) −997609. 2.54187e6i −0.400119 1.01949i
\(363\) 1.81147e6 558766.i 0.721549 0.222568i
\(364\) 329698. 305915.i 0.130426 0.121017i
\(365\) 288398. 361639.i 0.113308 0.142083i
\(366\) −1.33240e6 + 1.67078e6i −0.519915 + 0.651953i
\(367\) −2.45067e6 + 2.27389e6i −0.949771 + 0.881259i −0.993037 0.117805i \(-0.962414\pi\)
0.0432656 + 0.999064i \(0.486224\pi\)
\(368\) −405875. + 125196.i −0.156233 + 0.0481915i
\(369\) −106513. 271391.i −0.0407228 0.103760i
\(370\) 152660. 104082.i 0.0579724 0.0395249i
\(371\) 610550. + 294026.i 0.230296 + 0.110905i
\(372\) −741977. 688454.i −0.277992 0.257939i
\(373\) 3.27508e6 493639.i 1.21885 0.183712i 0.492053 0.870565i \(-0.336247\pi\)
0.726796 + 0.686853i \(0.241008\pi\)
\(374\) −99777.0 + 1.33143e6i −0.0368851 + 0.492198i
\(375\) 1.16838e6 2.97699e6i 0.429049 1.09320i
\(376\) −244599. 1.07166e6i −0.0892248 0.390919i
\(377\) −299848. 4.00120e6i −0.108655 1.44990i
\(378\) −405495. 125079.i −0.145967 0.0450250i
\(379\) −644259. + 310259.i −0.230389 + 0.110950i −0.545517 0.838100i \(-0.683667\pi\)
0.315128 + 0.949049i \(0.397953\pi\)
\(380\) 379127. 656667.i 0.134687 0.233285i
\(381\) −1.20124e6 2.08062e6i −0.423954 0.734310i
\(382\) 1.44587e6 + 985777.i 0.506957 + 0.345637i
\(383\) 775884. 3.39937e6i 0.270271 1.18414i −0.639423 0.768855i \(-0.720827\pi\)
0.909694 0.415280i \(-0.136316\pi\)
\(384\) −427783. 64477.9i −0.148046 0.0223143i
\(385\) −177495. 222572.i −0.0610288 0.0765277i
\(386\) 3.65389e6 1.24821
\(387\) −243657. 775024.i −0.0826991 0.263050i
\(388\) −590413. −0.199102
\(389\) 1.48890e6 + 1.86703e6i 0.498876 + 0.625571i 0.965975 0.258634i \(-0.0832724\pi\)
−0.467099 + 0.884205i \(0.654701\pi\)
\(390\) −2.54547e6 383667.i −0.847434 0.127730i
\(391\) 383465. 1.68007e6i 0.126848 0.555758i
\(392\) 2.52536e6 + 1.72176e6i 0.830057 + 0.565923i
\(393\) 3.32669e6 + 5.76199e6i 1.08650 + 1.88188i
\(394\) −339739. + 588445.i −0.110257 + 0.190970i
\(395\) −2.50038e6 + 1.20412e6i −0.806330 + 0.388308i
\(396\) −216445. 66764.3i −0.0693600 0.0213947i
\(397\) −321874. 4.29511e6i −0.102497 1.36772i −0.777023 0.629473i \(-0.783271\pi\)
0.674526 0.738251i \(-0.264348\pi\)
\(398\) 796751. + 3.49079e6i 0.252124 + 1.10463i
\(399\) 292128. 744330.i 0.0918631 0.234063i
\(400\) 43900.2 585807.i 0.0137188 0.183065i
\(401\) −4.50350e6 + 678793.i −1.39859 + 0.210803i −0.804669 0.593724i \(-0.797657\pi\)
−0.593917 + 0.804527i \(0.702419\pi\)
\(402\) 370983. + 344222.i 0.114496 + 0.106236i
\(403\) 3.31191e6 + 1.59493e6i 1.01582 + 0.489192i
\(404\) 2.11961e6 1.44513e6i 0.646105 0.440507i
\(405\) −970491. 2.47277e6i −0.294004 0.749111i
\(406\) −561232. + 173117.i −0.168977 + 0.0521224i
\(407\) −200246. + 185802.i −0.0599210 + 0.0555985i
\(408\) −2.95813e6 + 3.70938e6i −0.879766 + 1.10319i
\(409\) −3.28143e6 + 4.11479e6i −0.969963 + 1.21630i 0.00636024 + 0.999980i \(0.497975\pi\)
−0.976323 + 0.216316i \(0.930596\pi\)
\(410\) 498452. 462496.i 0.146441 0.135878i
\(411\) 498540. 153779.i 0.145578 0.0449049i
\(412\) −800732. 2.04023e6i −0.232404 0.592156i
\(413\) 800175. 545550.i 0.230839 0.157384i
\(414\) −312698. 150587.i −0.0896652 0.0431805i
\(415\) −2.01998e6 1.87427e6i −0.575742 0.534210i
\(416\) 4.43546e6 668538.i 1.25662 0.189406i
\(417\) −315623. + 4.21170e6i −0.0888851 + 1.18609i
\(418\) 486222. 1.23887e6i 0.136111 0.346806i
\(419\) 358142. + 1.56912e6i 0.0996599 + 0.436638i 0.999999 + 0.00144933i \(0.000461337\pi\)
−0.900339 + 0.435189i \(0.856682\pi\)
\(420\) −23719.2 316511.i −0.00656112 0.0875520i
\(421\) −6.08838e6 1.87802e6i −1.67416 0.516409i −0.694914 0.719093i \(-0.744557\pi\)
−0.979244 + 0.202684i \(0.935034\pi\)
\(422\) −2.08477e6 + 1.00397e6i −0.569871 + 0.274435i
\(423\) 189497. 328218.i 0.0514934 0.0891891i
\(424\) 2.00399e6 + 3.47102e6i 0.541354 + 0.937653i
\(425\) 1.96926e6 + 1.34262e6i 0.528847 + 0.360562i
\(426\) 60358.6 264448.i 0.0161144 0.0706020i
\(427\) 946240. + 142623.i 0.251149 + 0.0378546i
\(428\) −785748. 985297.i −0.207336 0.259991i
\(429\) 3.80588e6 0.998417
\(430\) 1.47502e6 1.18938e6i 0.384703 0.310206i
\(431\) −776251. −0.201284 −0.100642 0.994923i \(-0.532090\pi\)
−0.100642 + 0.994923i \(0.532090\pi\)
\(432\) −660278. 827963.i −0.170223 0.213453i
\(433\) −4.35401e6 656262.i −1.11601 0.168212i −0.434964 0.900448i \(-0.643239\pi\)
−0.681051 + 0.732236i \(0.738477\pi\)
\(434\) 119732. 524582.i 0.0305132 0.133687i
\(435\) −2.33956e6 1.59509e6i −0.592805 0.404168i
\(436\) −597464. 1.03484e6i −0.150520 0.260709i
\(437\) −858868. + 1.48760e6i −0.215141 + 0.372635i
\(438\) 815534. 392741.i 0.203122 0.0978184i
\(439\) 3.10179e6 + 956776.i 0.768159 + 0.236946i 0.653977 0.756514i \(-0.273099\pi\)
0.114182 + 0.993460i \(0.463575\pi\)
\(440\) −125825. 1.67902e6i −0.0309839 0.413451i
\(441\) 234496. + 1.02740e6i 0.0574169 + 0.251560i
\(442\) 1.97513e6 5.03254e6i 0.480883 1.22527i
\(443\) −479339. + 6.39633e6i −0.116047 + 1.54854i 0.570406 + 0.821363i \(0.306786\pi\)
−0.686453 + 0.727174i \(0.740833\pi\)
\(444\) −301162. + 45392.9i −0.0725009 + 0.0109277i
\(445\) 1.46189e6 + 1.35644e6i 0.349958 + 0.324714i
\(446\) 4.07524e6 + 1.96253e6i 0.970099 + 0.467175i
\(447\) −2.45801e6 + 1.67584e6i −0.581855 + 0.396702i
\(448\) −371160. 945700.i −0.0873707 0.222617i
\(449\) 1.31471e6 405533.i 0.307760 0.0949315i −0.137028 0.990567i \(-0.543755\pi\)
0.444788 + 0.895636i \(0.353279\pi\)
\(450\) 351878. 326495.i 0.0819145 0.0760055i
\(451\) −626799. + 785981.i −0.145106 + 0.181958i
\(452\) −293941. + 368590.i −0.0676727 + 0.0848589i
\(453\) 4.24525e6 3.93901e6i 0.971980 0.901866i
\(454\) −4.63033e6 + 1.42827e6i −1.05432 + 0.325214i
\(455\) 421131. + 1.07302e6i 0.0953649 + 0.242986i
\(456\) 3.90746e6 2.66406e6i 0.880000 0.599974i
\(457\) 5.38449e6 + 2.59304e6i 1.20602 + 0.580788i 0.925386 0.379027i \(-0.123741\pi\)
0.280634 + 0.959815i \(0.409455\pi\)
\(458\) 3.89744e6 + 3.61629e6i 0.868191 + 0.805564i
\(459\) 4.24860e6 640374.i 0.941271 0.141874i
\(460\) −50954.5 + 679940.i −0.0112276 + 0.149822i
\(461\) −712650. + 1.81580e6i −0.156179 + 0.397939i −0.987451 0.157928i \(-0.949518\pi\)
0.831271 + 0.555867i \(0.187614\pi\)
\(462\) −123965. 543125.i −0.0270205 0.118385i
\(463\) 343187. + 4.57952e6i 0.0744010 + 0.992812i 0.902068 + 0.431593i \(0.142048\pi\)
−0.827667 + 0.561219i \(0.810333\pi\)
\(464\) −1.40061e6 432032.i −0.302011 0.0931581i
\(465\) 2.33723e6 1.12555e6i 0.501268 0.241398i
\(466\) 499710. 865522.i 0.106599 0.184635i
\(467\) −76216.1 132010.i −0.0161717 0.0280101i 0.857826 0.513940i \(-0.171814\pi\)
−0.873998 + 0.485930i \(0.838481\pi\)
\(468\) 757792. + 516654.i 0.159932 + 0.109040i
\(469\) 50427.1 220936.i 0.0105860 0.0463803i
\(470\) 874053. + 131742.i 0.182513 + 0.0275094i
\(471\) −5.02188e6 6.29724e6i −1.04307 1.30797i
\(472\) 5.72788e6 1.18342
\(473\) −1.89431e6 + 2.06384e6i −0.389313 + 0.424153i
\(474\) −5.43083e6 −1.11025
\(475\) −1.48125e6 1.85743e6i −0.301227 0.377726i
\(476\) 659142. + 99349.6i 0.133340 + 0.0200978i
\(477\) −307500. + 1.34725e6i −0.0618798 + 0.271113i
\(478\) −2.62254e6 1.78802e6i −0.524992 0.357934i
\(479\) 2.99978e6 + 5.19578e6i 0.597380 + 1.03469i 0.993206 + 0.116368i \(0.0371251\pi\)
−0.395826 + 0.918326i \(0.629542\pi\)
\(480\) 1.58274e6 2.74139e6i 0.313550 0.543084i
\(481\) 996556. 479916.i 0.196399 0.0945807i
\(482\) 1.78779e6 + 551461.i 0.350509 + 0.108118i
\(483\) 53733.2 + 717020.i 0.0104803 + 0.139850i
\(484\) −350528. 1.53576e6i −0.0680157 0.297996i
\(485\) 552829. 1.40858e6i 0.106718 0.271912i
\(486\) 153953. 2.05437e6i 0.0295664 0.394536i
\(487\) −5.04106e6 + 759817.i −0.963162 + 0.145173i −0.611753 0.791049i \(-0.709535\pi\)
−0.351409 + 0.936222i \(0.614297\pi\)
\(488\) 4.14886e6 + 3.84958e6i 0.788641 + 0.731751i
\(489\) −5.81194e6 2.79888e6i −1.09913 0.529313i
\(490\) −2.03074e6 + 1.38454e6i −0.382089 + 0.260504i
\(491\) −3.45868e6 8.81257e6i −0.647450 1.64968i −0.755197 0.655498i \(-0.772459\pi\)
0.107746 0.994178i \(-0.465637\pi\)
\(492\) −1.07105e6 + 330376.i −0.199479 + 0.0615312i
\(493\) 4.35929e6 4.04483e6i 0.807790 0.749519i
\(494\) −3.35991e6 + 4.21319e6i −0.619455 + 0.776772i
\(495\) 361950. 453871.i 0.0663951 0.0832568i
\(496\) 984355. 913348.i 0.179658 0.166699i
\(497\) −116066. + 35801.7i −0.0210773 + 0.00650148i
\(498\) −1.97007e6 5.01966e6i −0.355966 0.906986i
\(499\) 1.08358e6 738775.i 0.194810 0.132819i −0.461987 0.886887i \(-0.652863\pi\)
0.656797 + 0.754068i \(0.271911\pi\)
\(500\) −2.39431e6 1.15304e6i −0.428306 0.206261i
\(501\) 6.72032e6 + 6.23555e6i 1.19618 + 1.10989i
\(502\) −394688. + 59489.6i −0.0699027 + 0.0105361i
\(503\) 202388. 2.70068e6i 0.0356669 0.475942i −0.950560 0.310542i \(-0.899490\pi\)
0.986227 0.165400i \(-0.0528914\pi\)
\(504\) 156322. 398302.i 0.0274122 0.0698451i
\(505\) 1.46305e6 + 6.41003e6i 0.255288 + 1.11849i
\(506\) 89434.3 + 1.19342e6i 0.0155284 + 0.207213i
\(507\) −8.47894e6 2.61541e6i −1.46495 0.451876i
\(508\) −1.79868e6 + 866199.i −0.309240 + 0.148922i
\(509\) −4.08670e6 + 7.07837e6i −0.699162 + 1.21098i 0.269595 + 0.962974i \(0.413110\pi\)
−0.968757 + 0.248011i \(0.920223\pi\)
\(510\) −1.90761e6 3.30408e6i −0.324761 0.562503i
\(511\) −334897. 228329.i −0.0567361 0.0386820i
\(512\) 837547. 3.66953e6i 0.141200 0.618637i
\(513\) −4.23494e6 638315.i −0.710484 0.107088i
\(514\) −4.95061e6 6.20787e6i −0.826515 1.03642i
\(515\) 5.61727e6 0.933270
\(516\) −3.04126e6 + 711458.i −0.502840 + 0.117632i
\(517\) −1.30685e6 −0.215030
\(518\) −100947. 126584.i −0.0165299 0.0207278i
\(519\) −9.18449e6 1.38434e6i −1.49671 0.225592i
\(520\) −1.51706e6 + 6.64670e6i −0.246034 + 1.07795i
\(521\) −8.59149e6 5.85758e6i −1.38667 0.945417i −0.999728 0.0233145i \(-0.992578\pi\)
−0.386945 0.922103i \(-0.626470\pi\)
\(522\) −598840. 1.03722e6i −0.0961911 0.166608i
\(523\) 868972. 1.50510e6i 0.138916 0.240609i −0.788171 0.615457i \(-0.788972\pi\)
0.927086 + 0.374848i \(0.122305\pi\)
\(524\) 4.98121e6 2.39882e6i 0.792513 0.381654i
\(525\) −950284. 293124.i −0.150472 0.0464144i
\(526\) −322365. 4.30166e6i −0.0508023 0.677910i
\(527\) 1.21231e6 + 5.31149e6i 0.190146 + 0.833085i
\(528\) 507927. 1.29418e6i 0.0792897 0.202027i
\(529\) −365557. + 4.87802e6i −0.0567958 + 0.757887i
\(530\) −3.18698e6 + 480361.i −0.492822 + 0.0742810i
\(531\) 1.44769e6 + 1.34326e6i 0.222813 + 0.206740i
\(532\) −598643. 288291.i −0.0917041 0.0441624i
\(533\) 3.36330e6 2.29306e6i 0.512800 0.349621i
\(534\) 1.42577e6 + 3.63281e6i 0.216370 + 0.551302i
\(535\) 3.08641e6 952033.i 0.466197 0.143803i
\(536\) 982522. 911647.i 0.147717 0.137061i
\(537\) −2.87406e6 + 3.60395e6i −0.430090 + 0.539316i
\(538\) −1.72645e6 + 2.16490e6i −0.257157 + 0.322465i
\(539\) 2.66375e6 2.47160e6i 0.394932 0.366443i
\(540\) −1.62450e6 + 501092.i −0.239737 + 0.0739492i
\(541\) −1.47175e6 3.74995e6i −0.216192 0.550848i 0.781099 0.624407i \(-0.214659\pi\)
−0.997291 + 0.0735593i \(0.976564\pi\)
\(542\) 6.30997e6 4.30206e6i 0.922633 0.629040i
\(543\) −1.03936e7 5.00530e6i −1.51275 0.728502i
\(544\) 4.87333e6 + 4.52179e6i 0.706039 + 0.655108i
\(545\) 3.02831e6 456444.i 0.436726 0.0658259i
\(546\) −168572. + 2.24943e6i −0.0241993 + 0.322917i
\(547\) 3.75189e6 9.55966e6i 0.536145 1.36607i −0.364372 0.931253i \(-0.618716\pi\)
0.900517 0.434821i \(-0.143188\pi\)
\(548\) −96469.6 422661.i −0.0137227 0.0601230i
\(549\) 145827. + 1.94592e6i 0.0206494 + 0.275547i
\(550\) −1.58167e6 487879.i −0.222950 0.0687710i
\(551\) −5.34062e6 + 2.57191e6i −0.749399 + 0.360891i
\(552\) −2.12634e6 + 3.68292e6i −0.297019 + 0.514452i
\(553\) 1.21593e6 + 2.10606e6i 0.169082 + 0.292858i
\(554\) 822389. + 560695.i 0.113842 + 0.0776162i
\(555\) 173694. 761005.i 0.0239361 0.104871i
\(556\) 3.47040e6 + 523078.i 0.476093 + 0.0717595i
\(557\) 8.13611e6 + 1.02024e7i 1.11117 + 1.39336i 0.910405 + 0.413717i \(0.135770\pi\)
0.200760 + 0.979640i \(0.435659\pi\)
\(558\) 1.09725e6 0.149183
\(559\) 9.79275e6 5.72461e6i 1.32549 0.774848i
\(560\) 421082. 0.0567410
\(561\) 3.51689e6 + 4.41004e6i 0.471793 + 0.591610i
\(562\) 6.60868e6 + 996098.i 0.882620 + 0.133034i
\(563\) −3.02930e6 + 1.32722e7i −0.402783 + 1.76471i 0.213258 + 0.976996i \(0.431592\pi\)
−0.616042 + 0.787714i \(0.711265\pi\)
\(564\) −1.20387e6 820785.i −0.159361 0.108650i
\(565\) −604139. 1.04640e6i −0.0796189 0.137904i
\(566\) −341457. + 591420.i −0.0448017 + 0.0775988i
\(567\) −2.09723e6 + 1.00997e6i −0.273961 + 0.131933i
\(568\) −686468. 211747.i −0.0892790 0.0275389i
\(569\) 145467. + 1.94112e6i 0.0188358 + 0.251346i 0.998671 + 0.0515386i \(0.0164125\pi\)
−0.979835 + 0.199807i \(0.935968\pi\)
\(570\) 846237. + 3.70761e6i 0.109095 + 0.477976i
\(571\) −3.55937e6 + 9.06914e6i −0.456860 + 1.16406i 0.498045 + 0.867151i \(0.334051\pi\)
−0.954906 + 0.296910i \(0.904044\pi\)
\(572\) 236338. 3.15371e6i 0.0302026 0.403025i
\(573\) 7.31039e6 1.10186e6i 0.930152 0.140198i
\(574\) −436785. 405277.i −0.0553334 0.0513419i
\(575\) 1.92478e6 + 926924.i 0.242779 + 0.116916i
\(576\) 1.71171e6 1.16703e6i 0.214968 0.146563i
\(577\) −3.39212e6 8.64298e6i −0.424162 1.08075i −0.970054 0.242891i \(-0.921904\pi\)
0.545892 0.837856i \(-0.316191\pi\)
\(578\) 2.00203e6 617544.i 0.249259 0.0768861i
\(579\) 1.13158e7 1.04995e7i 1.40278 1.30159i
\(580\) −1.46704e6 + 1.83961e6i −0.181081 + 0.227068i
\(581\) −1.50552e6 + 1.88786e6i −0.185032 + 0.232022i
\(582\) 2.17069e6 2.01410e6i 0.265638 0.246476i
\(583\) 4.55336e6 1.40452e6i 0.554830 0.171143i
\(584\) −875828. 2.23157e6i −0.106264 0.270757i
\(585\) −1.94217e6 + 1.32415e6i −0.234637 + 0.159973i
\(586\) −1.66282e6 800770.i −0.200032 0.0963305i
\(587\) −2.50421e6 2.32357e6i −0.299968 0.278330i 0.515800 0.856709i \(-0.327495\pi\)
−0.815768 + 0.578379i \(0.803685\pi\)
\(588\) 4.00617e6 603833.i 0.477844 0.0720234i
\(589\) 405826. 5.41538e6i 0.0482006 0.643192i
\(590\) −1.68277e6 + 4.28762e6i −0.199019 + 0.507091i
\(591\) 638765. + 2.79861e6i 0.0752267 + 0.329590i
\(592\) −30195.0 402925.i −0.00354104 0.0472519i
\(593\) −2.60916e6 804819.i −0.304694 0.0939857i 0.138638 0.990343i \(-0.455728\pi\)
−0.443332 + 0.896357i \(0.646204\pi\)
\(594\) −2.68836e6 + 1.29465e6i −0.312624 + 0.150552i
\(595\) −854207. + 1.47953e6i −0.0989170 + 0.171329i
\(596\) 1.23604e6 + 2.14088e6i 0.142533 + 0.246874i
\(597\) 1.24983e7 + 8.52122e6i 1.43521 + 0.978512i
\(598\) 1.07830e6 4.72436e6i 0.123307 0.540244i
\(599\) −7.92513e6 1.19452e6i −0.902484 0.136028i −0.318623 0.947881i \(-0.603221\pi\)
−0.583861 + 0.811854i \(0.698459\pi\)
\(600\) −3.66719e6 4.59851e6i −0.415868 0.521482i
\(601\) 1.64641e7 1.85931 0.929654 0.368433i \(-0.120105\pi\)
0.929654 + 0.368433i \(0.120105\pi\)
\(602\) −1.13591e6 1.21103e6i −0.127748 0.136196i
\(603\) 462121. 0.0517562
\(604\) −3.00041e6 3.76240e6i −0.334648 0.419636i
\(605\) 3.99218e6 + 601725.i 0.443427 + 0.0668358i
\(606\) −2.86305e6 + 1.25438e7i −0.316699 + 1.38755i
\(607\) −7.81139e6 5.32572e6i −0.860512 0.586687i 0.0506591 0.998716i \(-0.483868\pi\)
−0.911171 + 0.412029i \(0.864820\pi\)
\(608\) −3.31331e6 5.73883e6i −0.363499 0.629599i
\(609\) −1.24063e6 + 2.14884e6i −0.135550 + 0.234780i
\(610\) −4.10049e6 + 1.97469e6i −0.446181 + 0.214869i
\(611\) 5.05651e6 + 1.55973e6i 0.547959 + 0.169023i
\(612\) 101582. + 1.35551e6i 0.0109632 + 0.146293i
\(613\) 2.05457e6 + 9.00168e6i 0.220836 + 0.967547i 0.956850 + 0.290581i \(0.0938486\pi\)
−0.736014 + 0.676966i \(0.763294\pi\)
\(614\) 1.78126e6 4.53857e6i 0.190680 0.485845i
\(615\) 214674. 2.86462e6i 0.0228871 0.305408i
\(616\) −1.45894e6 + 219900.i −0.154912 + 0.0233493i
\(617\) −1.12293e7 1.04193e7i −1.18752 1.10186i −0.992649 0.121031i \(-0.961380\pi\)
−0.194873 0.980829i \(-0.562429\pi\)
\(618\) 9.90388e6 + 4.76946e6i 1.04312 + 0.502340i
\(619\) 622411. 424353.i 0.0652906 0.0445144i −0.530235 0.847851i \(-0.677896\pi\)
0.595526 + 0.803336i \(0.296944\pi\)
\(620\) −787542. 2.00663e6i −0.0822801 0.209646i
\(621\) 3.68012e6 1.13517e6i 0.382942 0.118122i
\(622\) 4.41208e6 4.09381e6i 0.457264 0.424279i
\(623\) 1.08957e6 1.36628e6i 0.112469 0.141032i
\(624\) −3.50990e6 + 4.40127e6i −0.360855 + 0.452498i
\(625\) 1.05508e6 978968.i 0.108040 0.100246i
\(626\) 2.63968e6 814234.i 0.269225 0.0830450i
\(627\) −2.05414e6 5.23386e6i −0.208670 0.531683i
\(628\) −5.53001e6 + 3.77030e6i −0.559534 + 0.381484i
\(629\) 1.47699e6 + 711279.i 0.148850 + 0.0716825i
\(630\) 252225. + 234031.i 0.0253184 + 0.0234921i
\(631\) −6.84526e6 + 1.03176e6i −0.684410 + 0.103158i −0.482038 0.876150i \(-0.660103\pi\)
−0.202372 + 0.979309i \(0.564865\pi\)
\(632\) −1.07485e6 + 1.43429e7i −0.107043 + 1.42838i
\(633\) −3.57142e6 + 9.09984e6i −0.354268 + 0.902660i
\(634\) 2.83808e6 + 1.24344e7i 0.280415 + 1.22858i
\(635\) −382364. 5.10229e6i −0.0376307 0.502147i
\(636\) 5.07668e6 + 1.56595e6i 0.497665 + 0.153509i
\(637\) −1.32565e7 + 6.38402e6i −1.29444 + 0.623369i
\(638\) −2.06493e6 + 3.57656e6i −0.200841 + 0.347867i
\(639\) −123844. 214504.i −0.0119984 0.0207818i
\(640\) −761249. 519011.i −0.0734644 0.0500872i
\(641\) 1.04696e6 4.58705e6i 0.100644 0.440949i −0.899349 0.437231i \(-0.855959\pi\)
0.999993 0.00371803i \(-0.00118349\pi\)
\(642\) 6.25004e6 + 942042.i 0.598474 + 0.0902054i
\(643\) −8.78377e6 1.10145e7i −0.837826 1.05060i −0.997981 0.0635085i \(-0.979771\pi\)
0.160155 0.987092i \(-0.448800\pi\)
\(644\) 597490. 0.0567696
\(645\) 1.15030e6 7.92190e6i 0.108871 0.749774i
\(646\) −7.98679e6 −0.752993
\(647\) −2.21812e6 2.78143e6i −0.208316 0.261220i 0.666686 0.745338i \(-0.267712\pi\)
−0.875003 + 0.484118i \(0.839141\pi\)
\(648\) −1.36136e7 2.05192e6i −1.27361 0.191965i
\(649\) 1.51533e6 6.63908e6i 0.141219 0.618723i
\(650\) 5.53755e6 + 3.77544e6i 0.514085 + 0.350497i
\(651\) −1.13660e6 1.96864e6i −0.105112 0.182060i
\(652\) −2.68018e6 + 4.64221e6i −0.246914 + 0.427667i
\(653\) 4.46963e6 2.15246e6i 0.410193 0.197539i −0.217396 0.976084i \(-0.569756\pi\)
0.627589 + 0.778545i \(0.284042\pi\)
\(654\) 5.72680e6 + 1.76649e6i 0.523562 + 0.161497i
\(655\) 1.05891e6 + 1.41301e7i 0.0964393 + 1.28689i
\(656\) −330887. 1.44971e6i −0.0300206 0.131529i
\(657\) 301972. 769413.i 0.0272931 0.0695418i
\(658\) 57883.5 772402.i 0.00521183 0.0695471i
\(659\) 2.68342e6 404461.i 0.240700 0.0362796i −0.0275844 0.999619i \(-0.508782\pi\)
0.268284 + 0.963340i \(0.413543\pi\)
\(660\) −1.63605e6 1.51803e6i −0.146196 0.135650i
\(661\) 1.37956e7 + 6.64363e6i 1.22811 + 0.591428i 0.931560 0.363588i \(-0.118449\pi\)
0.296553 + 0.955016i \(0.404163\pi\)
\(662\) −2.02948e6 + 1.38367e6i −0.179986 + 0.122713i
\(663\) −8.34430e6 2.12609e7i −0.737235 1.87844i
\(664\) −1.36469e7 + 4.20952e6i −1.20120 + 0.370521i
\(665\) 1.24833e6 1.15828e6i 0.109465 0.101569i
\(666\) 205852. 258131.i 0.0179833 0.0225504i
\(667\) 3.32341e6 4.16742e6i 0.289247 0.362705i
\(668\) 5.58436e6 5.18153e6i 0.484208 0.449280i
\(669\) 1.82600e7 5.63248e6i 1.57738 0.486558i
\(670\) 393766. + 1.00330e6i 0.0338884 + 0.0863462i
\(671\) 5.55957e6 3.79045e6i 0.476689 0.325001i
\(672\) −2.49916e6 1.20353e6i −0.213486 0.102810i
\(673\) −8.40978e6 7.80313e6i −0.715726 0.664097i 0.235752 0.971813i \(-0.424245\pi\)
−0.951478 + 0.307716i \(0.900435\pi\)
\(674\) −6.06436e6 + 914055.i −0.514204 + 0.0775037i
\(675\) −398048. + 5.31158e6i −0.0336261 + 0.448709i
\(676\) −2.69376e6 + 6.86360e6i −0.226722 + 0.577677i
\(677\) −3.69321e6 1.61810e7i −0.309694 1.35686i −0.855003 0.518623i \(-0.826445\pi\)
0.545309 0.838235i \(-0.316412\pi\)
\(678\) −176698. 2.35788e6i −0.0147625 0.196991i
\(679\) −1.26707e6 390838.i −0.105469 0.0325329i
\(680\) −9.10369e6 + 4.38411e6i −0.754997 + 0.363588i
\(681\) −1.02356e7 + 1.77286e7i −0.845756 + 1.46489i
\(682\) −1.89177e6 3.27663e6i −0.155742 0.269753i
\(683\) −7.32251e6 4.99240e6i −0.600632 0.409504i 0.224476 0.974480i \(-0.427933\pi\)
−0.825107 + 0.564976i \(0.808885\pi\)
\(684\) 301503. 1.32097e6i 0.0246406 0.107957i
\(685\) 1.09870e6 + 165602.i 0.0894647 + 0.0134846i
\(686\) 2.77785e6 + 3.48332e6i 0.225371 + 0.282607i
\(687\) 2.24615e7 1.81571
\(688\) −639711. 4.09399e6i −0.0515244 0.329743i
\(689\) −1.92943e7 −1.54839
\(690\) −2.13218e6 2.67366e6i −0.170491 0.213788i
\(691\) −417170. 62878.2i −0.0332367 0.00500962i 0.132403 0.991196i \(-0.457731\pi\)
−0.165640 + 0.986186i \(0.552969\pi\)
\(692\) −1.71746e6 + 7.52469e6i −0.136340 + 0.597342i
\(693\) −420309. 286562.i −0.0332457 0.0226666i
\(694\) −8.96075e6 1.55205e7i −0.706229 1.22322i
\(695\) −4.49742e6 + 7.78976e6i −0.353184 + 0.611733i
\(696\) −1.32220e7 + 6.36739e6i −1.03460 + 0.498239i
\(697\) 5.76499e6 + 1.77826e6i 0.449487 + 0.138648i
\(698\) −971730. 1.29668e7i −0.0754931 1.00739i
\(699\) −939536. 4.11638e6i −0.0727311 0.318656i
\(700\) −301906. + 769243.i −0.0232877 + 0.0593360i
\(701\) 835297. 1.11463e7i 0.0642016 0.856711i −0.868414 0.495840i \(-0.834860\pi\)
0.932616 0.360871i \(-0.117521\pi\)
\(702\) 1.19471e7 1.80073e6i 0.914995 0.137913i
\(703\) −1.19785e6 1.11144e6i −0.0914143 0.0848201i
\(704\) −6.43619e6 3.09950e6i −0.489437 0.235700i
\(705\) 3.08543e6 2.10361e6i 0.233799 0.159402i
\(706\) −1.37942e6 3.51469e6i −0.104156 0.265385i
\(707\) 5.50548e6 1.69822e6i 0.414235 0.127774i
\(708\) 5.56568e6 5.16420e6i 0.417287 0.387186i
\(709\) −1.49611e6 + 1.87606e6i −0.111776 + 0.140163i −0.834572 0.550899i \(-0.814285\pi\)
0.722796 + 0.691061i \(0.242856\pi\)
\(710\) 360178. 451649.i 0.0268146 0.0336245i
\(711\) −3.63527e6 + 3.37304e6i −0.269689 + 0.250235i
\(712\) 9.87651e6 3.04650e6i 0.730136 0.225217i
\(713\) 1.78409e6 + 4.54578e6i 0.131429 + 0.334876i
\(714\) −2.76229e6 + 1.88330e6i −0.202779 + 0.138253i
\(715\) 7.30272e6 + 3.51680e6i 0.534219 + 0.257266i
\(716\) 2.80791e6 + 2.60536e6i 0.204692 + 0.189927i
\(717\) −1.32597e7 + 1.99858e6i −0.963243 + 0.145186i
\(718\) −978031. + 1.30509e7i −0.0708013 + 0.944778i
\(719\) 4.34565e6 1.10725e7i 0.313496 0.798776i −0.684094 0.729394i \(-0.739802\pi\)
0.997590 0.0693819i \(-0.0221027\pi\)
\(720\) 191073. + 837147.i 0.0137363 + 0.0601826i
\(721\) −367845. 4.90855e6i −0.0263528 0.351653i
\(722\) −2.25360e6 695143.i −0.160892 0.0496285i
\(723\) 7.12128e6 3.42943e6i 0.506655 0.243992i
\(724\) −4.79303e6 + 8.30177e6i −0.339831 + 0.588605i
\(725\) 3.68610e6 + 6.38451e6i 0.260448 + 0.451110i
\(726\) 6.52776e6 + 4.45055e6i 0.459645 + 0.313381i
\(727\) −3.79992e6 + 1.66485e7i −0.266648 + 1.16826i 0.647238 + 0.762288i \(0.275924\pi\)
−0.913885 + 0.405972i \(0.866933\pi\)
\(728\) 5.90744e6 + 890403.i 0.413115 + 0.0622670i
\(729\) 5.30660e6 + 6.65426e6i 0.369826 + 0.463747i
\(730\) 1.92776e6 0.133889
\(731\) 1.56825e7 + 6.05736e6i 1.08548 + 0.419266i
\(732\) 7.50212e6 0.517495
\(733\) −3.18362e6 3.99214e6i −0.218858 0.274439i 0.660267 0.751031i \(-0.270443\pi\)
−0.879124 + 0.476592i \(0.841872\pi\)
\(734\) −1.37772e7 2.07658e6i −0.943890 0.142268i
\(735\) −2.31055e6 + 1.01232e7i −0.157760 + 0.691191i
\(736\) 4.92346e6 + 3.35676e6i 0.335024 + 0.228416i
\(737\) −796745. 1.38000e6i −0.0540319 0.0935860i
\(738\) 607526. 1.05227e6i 0.0410605 0.0711189i
\(739\) 2.38796e7 1.14998e7i 1.60848 0.774603i 0.608657 0.793433i \(-0.291708\pi\)
0.999823 + 0.0188301i \(0.00599416\pi\)
\(740\) −619815. 191188.i −0.0416086 0.0128345i
\(741\) 1.70133e6 + 2.27026e7i 0.113826 + 1.51891i
\(742\) 628453. + 2.75343e6i 0.0419047 + 0.183596i
\(743\) −3.05528e6 + 7.78473e6i −0.203039 + 0.517335i −0.995733 0.0922854i \(-0.970583\pi\)
0.792694 + 0.609620i \(0.208678\pi\)
\(744\) 1.00472e6 1.34071e7i 0.0665447 0.887978i
\(745\) −6.26498e6 + 944293.i −0.413551 + 0.0623327i
\(746\) 1.01187e7 + 9.38878e6i 0.665699 + 0.617678i
\(747\) −4.43638e6 2.13645e6i −0.290889 0.140085i
\(748\) 3.87274e6 2.64039e6i 0.253084 0.172550i
\(749\) −1.03403e6 2.63466e6i −0.0673485 0.171601i
\(750\) 1.27362e7 3.92860e6i 0.826775 0.255026i
\(751\) −6.40457e6 + 5.94257e6i −0.414371 + 0.384480i −0.859626 0.510923i \(-0.829304\pi\)
0.445255 + 0.895404i \(0.353113\pi\)
\(752\) 1.20522e6 1.51129e6i 0.0777177 0.0974550i
\(753\) −1.05137e6 + 1.31838e6i −0.0675722 + 0.0847329i
\(754\) 1.22583e7 1.13741e7i 0.785240 0.728596i
\(755\) 1.17856e7 3.63538e6i 0.75246