Properties

Label 43.6.g.a.9.16
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 9.16
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.16

$q$-expansion

\(f(q)\) \(=\) \(q+(5.80897 + 7.28422i) q^{2} +(-11.9998 - 1.80868i) q^{3} +(-12.1950 + 53.4298i) q^{4} +(-56.0782 - 38.2335i) q^{5} +(-56.5318 - 97.9160i) q^{6} +(-58.6801 + 101.637i) q^{7} +(-191.420 + 92.1833i) q^{8} +(-91.4795 - 28.2177i) q^{9} +O(q^{10})\) \(q+(5.80897 + 7.28422i) q^{2} +(-11.9998 - 1.80868i) q^{3} +(-12.1950 + 53.4298i) q^{4} +(-56.0782 - 38.2335i) q^{5} +(-56.5318 - 97.9160i) q^{6} +(-58.6801 + 101.637i) q^{7} +(-191.420 + 92.1833i) q^{8} +(-91.4795 - 28.2177i) q^{9} +(-47.2556 - 630.582i) q^{10} +(-31.3087 - 137.172i) q^{11} +(242.976 - 619.092i) q^{12} +(-65.8375 + 878.541i) q^{13} +(-1081.22 + 162.967i) q^{14} +(603.777 + 560.223i) q^{15} +(-203.387 - 97.9459i) q^{16} +(160.523 - 109.443i) q^{17} +(-325.858 - 830.272i) q^{18} +(529.140 - 163.218i) q^{19} +(2726.68 - 2529.99i) q^{20} +(887.981 - 1113.49i) q^{21} +(817.322 - 1024.89i) q^{22} +(-3306.81 + 3068.27i) q^{23} +(2463.74 - 759.965i) q^{24} +(541.274 + 1379.14i) q^{25} +(-6781.93 + 4623.84i) q^{26} +(3703.57 + 1783.54i) q^{27} +(-4714.84 - 4374.73i) q^{28} +(-5209.62 + 785.224i) q^{29} +(-573.465 + 7652.35i) q^{30} +(1007.03 - 2565.88i) q^{31} +(1044.85 + 4577.81i) q^{32} +(127.598 + 1702.67i) q^{33} +(1729.68 + 533.536i) q^{34} +(7176.61 - 3456.07i) q^{35} +(2623.26 - 4543.62i) q^{36} +(667.512 + 1156.17i) q^{37} +(4262.68 + 2906.24i) q^{38} +(2379.04 - 10423.3i) q^{39} +(14259.0 + 2149.20i) q^{40} +(96.5327 + 121.048i) q^{41} +13269.2 q^{42} +(7856.77 + 9234.70i) q^{43} +7710.91 q^{44} +(4051.14 + 5079.97i) q^{45} +(-41559.0 - 6264.02i) q^{46} +(6086.59 - 26667.1i) q^{47} +(2263.45 + 1543.20i) q^{48} +(1516.78 + 2627.15i) q^{49} +(-6901.74 + 11954.2i) q^{50} +(-2124.20 + 1022.96i) q^{51} +(-46137.4 - 14231.5i) q^{52} +(-317.075 - 4231.07i) q^{53} +(8522.18 + 37338.1i) q^{54} +(-3488.84 + 8889.42i) q^{55} +(1863.35 - 24864.7i) q^{56} +(-6644.81 + 1001.54i) q^{57} +(-35982.3 - 33386.7i) q^{58} +(7049.02 + 3394.63i) q^{59} +(-37295.7 + 25427.8i) q^{60} +(-12757.3 - 32505.0i) q^{61} +(24540.2 - 7569.65i) q^{62} +(8235.99 - 7641.88i) q^{63} +(-31780.1 + 39851.0i) q^{64} +(37281.7 - 46749.8i) q^{65} +(-11661.4 + 10820.2i) q^{66} +(-30954.9 + 9548.32i) q^{67} +(3889.94 + 9911.41i) q^{68} +(45230.6 - 30837.7i) q^{69} +(66863.5 + 32199.7i) q^{70} +(-40346.8 - 37436.3i) q^{71} +(20112.3 - 3031.43i) q^{72} +(-6246.45 + 83353.1i) q^{73} +(-4544.20 + 11578.4i) q^{74} +(-4000.77 - 17528.5i) q^{75} +(2267.85 + 30262.3i) q^{76} +(15779.0 + 4867.17i) q^{77} +(89745.1 - 43219.0i) q^{78} +(18442.7 - 31943.7i) q^{79} +(7660.75 + 13268.8i) q^{80} +(-21995.5 - 14996.3i) q^{81} +(-320.986 + 1406.33i) q^{82} +(-34408.5 - 5186.25i) q^{83} +(48664.8 + 61023.8i) q^{84} -13186.3 q^{85} +(-21627.8 + 110874. i) q^{86} +63934.8 q^{87} +(18638.1 + 23371.5i) q^{88} +(128093. + 19307.0i) q^{89} +(-13470.7 + 59018.8i) q^{90} +(-85428.9 - 58244.4i) q^{91} +(-123611. - 214100. i) q^{92} +(-16725.1 + 28968.7i) q^{93} +(229606. - 110572. i) q^{94} +(-35913.6 - 11077.9i) q^{95} +(-4258.27 - 56822.7i) q^{96} +(25482.5 + 111646. i) q^{97} +(-10325.8 + 26309.6i) q^{98} +(-1006.58 + 13431.9i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.80897 + 7.28422i 1.02689 + 1.28768i 0.956989 + 0.290126i \(0.0936971\pi\)
0.0699015 + 0.997554i \(0.477731\pi\)
\(3\) −11.9998 1.80868i −0.769790 0.116027i −0.247607 0.968861i \(-0.579644\pi\)
−0.522183 + 0.852833i \(0.674882\pi\)
\(4\) −12.1950 + 53.4298i −0.381094 + 1.66968i
\(5\) −56.0782 38.2335i −1.00316 0.683941i −0.0539338 0.998545i \(-0.517176\pi\)
−0.949223 + 0.314604i \(0.898128\pi\)
\(6\) −56.5318 97.9160i −0.641084 1.11039i
\(7\) −58.6801 + 101.637i −0.452633 + 0.783983i −0.998549 0.0538570i \(-0.982848\pi\)
0.545916 + 0.837840i \(0.316182\pi\)
\(8\) −191.420 + 92.1833i −1.05746 + 0.509245i
\(9\) −91.4795 28.2177i −0.376459 0.116122i
\(10\) −47.2556 630.582i −0.149435 1.99408i
\(11\) −31.3087 137.172i −0.0780160 0.341810i 0.920823 0.389980i \(-0.127518\pi\)
−0.998839 + 0.0481701i \(0.984661\pi\)
\(12\) 242.976 619.092i 0.487091 1.24109i
\(13\) −65.8375 + 878.541i −0.108048 + 1.44180i 0.634977 + 0.772531i \(0.281010\pi\)
−0.743024 + 0.669264i \(0.766609\pi\)
\(14\) −1081.22 + 162.967i −1.47432 + 0.222218i
\(15\) 603.777 + 560.223i 0.692864 + 0.642884i
\(16\) −203.387 97.9459i −0.198620 0.0956503i
\(17\) 160.523 109.443i 0.134715 0.0918472i −0.494087 0.869412i \(-0.664498\pi\)
0.628803 + 0.777565i \(0.283545\pi\)
\(18\) −325.858 830.272i −0.237054 0.604003i
\(19\) 529.140 163.218i 0.336269 0.103725i −0.122022 0.992527i \(-0.538938\pi\)
0.458291 + 0.888802i \(0.348462\pi\)
\(20\) 2726.68 2529.99i 1.52426 1.41431i
\(21\) 887.981 1113.49i 0.439395 0.550984i
\(22\) 817.322 1024.89i 0.360028 0.451461i
\(23\) −3306.81 + 3068.27i −1.30343 + 1.20941i −0.340322 + 0.940309i \(0.610536\pi\)
−0.963112 + 0.269101i \(0.913273\pi\)
\(24\) 2463.74 759.965i 0.873107 0.269318i
\(25\) 541.274 + 1379.14i 0.173208 + 0.441326i
\(26\) −6781.93 + 4623.84i −1.96752 + 1.34143i
\(27\) 3703.57 + 1783.54i 0.977711 + 0.470841i
\(28\) −4714.84 4374.73i −1.13651 1.05452i
\(29\) −5209.62 + 785.224i −1.15030 + 0.173380i −0.696387 0.717666i \(-0.745210\pi\)
−0.453913 + 0.891046i \(0.649972\pi\)
\(30\) −573.465 + 7652.35i −0.116333 + 1.55236i
\(31\) 1007.03 2565.88i 0.188208 0.479547i −0.805359 0.592787i \(-0.798028\pi\)
0.993568 + 0.113240i \(0.0361228\pi\)
\(32\) 1044.85 + 4577.81i 0.180377 + 0.790283i
\(33\) 127.598 + 1702.67i 0.0203966 + 0.272174i
\(34\) 1729.68 + 533.536i 0.256607 + 0.0791529i
\(35\) 7176.61 3456.07i 0.990260 0.476884i
\(36\) 2623.26 4543.62i 0.337354 0.584313i
\(37\) 667.512 + 1156.17i 0.0801595 + 0.138840i 0.903318 0.428971i \(-0.141124\pi\)
−0.823159 + 0.567811i \(0.807790\pi\)
\(38\) 4262.68 + 2906.24i 0.478876 + 0.326492i
\(39\) 2379.04 10423.3i 0.250461 1.09734i
\(40\) 14259.0 + 2149.20i 1.40909 + 0.212386i
\(41\) 96.5327 + 121.048i 0.00896840 + 0.0112460i 0.786295 0.617851i \(-0.211996\pi\)
−0.777327 + 0.629097i \(0.783425\pi\)
\(42\) 13269.2 1.16070
\(43\) 7856.77 + 9234.70i 0.647997 + 0.761643i
\(44\) 7710.91 0.600446
\(45\) 4051.14 + 5079.97i 0.298227 + 0.373964i
\(46\) −41559.0 6264.02i −2.89582 0.436474i
\(47\) 6086.59 26667.1i 0.401910 1.76088i −0.217740 0.976007i \(-0.569869\pi\)
0.619651 0.784878i \(-0.287274\pi\)
\(48\) 2263.45 + 1543.20i 0.141798 + 0.0966759i
\(49\) 1516.78 + 2627.15i 0.0902471 + 0.156313i
\(50\) −6901.74 + 11954.2i −0.390421 + 0.676230i
\(51\) −2124.20 + 1022.96i −0.114359 + 0.0550724i
\(52\) −46137.4 14231.5i −2.36616 0.729865i
\(53\) −317.075 4231.07i −0.0155050 0.206900i −0.999576 0.0291231i \(-0.990729\pi\)
0.984071 0.177777i \(-0.0568905\pi\)
\(54\) 8522.18 + 37338.1i 0.397710 + 1.74248i
\(55\) −3488.84 + 8889.42i −0.155516 + 0.396248i
\(56\) 1863.35 24864.7i 0.0794009 1.05953i
\(57\) −6644.81 + 1001.54i −0.270891 + 0.0408303i
\(58\) −35982.3 33386.7i −1.40449 1.30318i
\(59\) 7049.02 + 3394.63i 0.263632 + 0.126959i 0.561031 0.827795i \(-0.310405\pi\)
−0.297399 + 0.954753i \(0.596119\pi\)
\(60\) −37295.7 + 25427.8i −1.33746 + 0.911864i
\(61\) −12757.3 32505.0i −0.438969 1.11847i −0.963648 0.267174i \(-0.913910\pi\)
0.524679 0.851300i \(-0.324185\pi\)
\(62\) 24540.2 7569.65i 0.810773 0.250090i
\(63\) 8235.99 7641.88i 0.261435 0.242577i
\(64\) −31780.1 + 39851.0i −0.969853 + 1.21616i
\(65\) 37281.7 46749.8i 1.09449 1.37245i
\(66\) −11661.4 + 10820.2i −0.329528 + 0.305757i
\(67\) −30954.9 + 9548.32i −0.842446 + 0.259860i −0.685796 0.727794i \(-0.740546\pi\)
−0.156650 + 0.987654i \(0.550070\pi\)
\(68\) 3889.94 + 9911.41i 0.102017 + 0.259934i
\(69\) 45230.6 30837.7i 1.14369 0.779758i
\(70\) 66863.5 + 32199.7i 1.63096 + 0.785430i
\(71\) −40346.8 37436.3i −0.949867 0.881348i 0.0431797 0.999067i \(-0.486251\pi\)
−0.993047 + 0.117719i \(0.962442\pi\)
\(72\) 20112.3 3031.43i 0.457224 0.0689155i
\(73\) −6246.45 + 83353.1i −0.137191 + 1.83069i 0.327079 + 0.944997i \(0.393936\pi\)
−0.464271 + 0.885693i \(0.653684\pi\)
\(74\) −4544.20 + 11578.4i −0.0964669 + 0.245794i
\(75\) −4000.77 17528.5i −0.0821278 0.359825i
\(76\) 2267.85 + 30262.3i 0.0450381 + 0.600992i
\(77\) 15779.0 + 4867.17i 0.303286 + 0.0935513i
\(78\) 89745.1 43219.0i 1.67022 0.804337i
\(79\) 18442.7 31943.7i 0.332474 0.575862i −0.650522 0.759487i \(-0.725450\pi\)
0.982996 + 0.183625i \(0.0587834\pi\)
\(80\) 7660.75 + 13268.8i 0.133828 + 0.231797i
\(81\) −21995.5 14996.3i −0.372496 0.253963i
\(82\) −320.986 + 1406.33i −0.00527170 + 0.0230968i
\(83\) −34408.5 5186.25i −0.548240 0.0826339i −0.130919 0.991393i \(-0.541793\pi\)
−0.417321 + 0.908759i \(0.637031\pi\)
\(84\) 48664.8 + 61023.8i 0.752518 + 0.943628i
\(85\) −13186.3 −0.197958
\(86\) −21627.8 + 110874.i −0.315331 + 1.61654i
\(87\) 63934.8 0.905606
\(88\) 18638.1 + 23371.5i 0.256564 + 0.321721i
\(89\) 128093. + 19307.0i 1.71416 + 0.258368i 0.931412 0.363967i \(-0.118578\pi\)
0.782751 + 0.622335i \(0.213816\pi\)
\(90\) −13470.7 + 59018.8i −0.175300 + 0.768041i
\(91\) −85428.9 58244.4i −1.08144 0.737311i
\(92\) −123611. 214100.i −1.52260 2.63722i
\(93\) −16725.1 + 28968.7i −0.200521 + 0.347313i
\(94\) 229606. 110572.i 2.68017 1.29070i
\(95\) −35913.6 11077.9i −0.408273 0.125935i
\(96\) −4258.27 56822.7i −0.0471580 0.629280i
\(97\) 25482.5 + 111646.i 0.274987 + 1.20480i 0.904044 + 0.427439i \(0.140584\pi\)
−0.629057 + 0.777359i \(0.716559\pi\)
\(98\) −10325.8 + 26309.6i −0.108607 + 0.276725i
\(99\) −1006.58 + 13431.9i −0.0103220 + 0.137737i
\(100\) −80288.3 + 12101.5i −0.802883 + 0.121015i
\(101\) 93476.0 + 86733.1i 0.911794 + 0.846022i 0.988529 0.151030i \(-0.0482590\pi\)
−0.0767348 + 0.997052i \(0.524449\pi\)
\(102\) −19790.9 9530.80i −0.188350 0.0907045i
\(103\) −89808.2 + 61230.2i −0.834109 + 0.568686i −0.903345 0.428914i \(-0.858896\pi\)
0.0692360 + 0.997600i \(0.477944\pi\)
\(104\) −68384.1 174240.i −0.619972 1.57966i
\(105\) −92369.0 + 28492.1i −0.817623 + 0.252203i
\(106\) 28978.1 26887.8i 0.250499 0.232429i
\(107\) −95044.0 + 119181.i −0.802538 + 1.00635i 0.197125 + 0.980378i \(0.436840\pi\)
−0.999663 + 0.0259720i \(0.991732\pi\)
\(108\) −140459. + 176131.i −1.15876 + 1.45303i
\(109\) −166349. + 154349.i −1.34108 + 1.24434i −0.395693 + 0.918383i \(0.629496\pi\)
−0.945385 + 0.325956i \(0.894314\pi\)
\(110\) −85019.0 + 26224.9i −0.669938 + 0.206648i
\(111\) −5918.90 15081.1i −0.0455967 0.116179i
\(112\) 21889.7 14924.1i 0.164890 0.112420i
\(113\) −9039.09 4353.00i −0.0665930 0.0320695i 0.400291 0.916388i \(-0.368909\pi\)
−0.466884 + 0.884319i \(0.654623\pi\)
\(114\) −45894.9 42584.3i −0.330752 0.306893i
\(115\) 302750. 45632.2i 2.13471 0.321756i
\(116\) 21577.0 287925.i 0.148883 1.98671i
\(117\) 30813.2 78510.7i 0.208100 0.530230i
\(118\) 16220.3 + 71065.9i 0.107239 + 0.469847i
\(119\) 1703.92 + 22737.3i 0.0110302 + 0.147187i
\(120\) −167218. 51580.0i −1.06006 0.326986i
\(121\) 127266. 61288.0i 0.790221 0.380550i
\(122\) 162667. 281747.i 0.989464 1.71380i
\(123\) −939.439 1627.16i −0.00559894 0.00969765i
\(124\) 124814. + 85096.5i 0.728967 + 0.497001i
\(125\) −24820.7 + 108746.i −0.142082 + 0.622501i
\(126\) 103508. + 15601.3i 0.580826 + 0.0875455i
\(127\) −111780. 140168.i −0.614972 0.771150i 0.372655 0.927970i \(-0.378447\pi\)
−0.987627 + 0.156819i \(0.949876\pi\)
\(128\) −324636. −1.75135
\(129\) −77577.2 125025.i −0.410450 0.661490i
\(130\) 557104. 2.89120
\(131\) −111338. 139614.i −0.566848 0.710805i 0.412959 0.910750i \(-0.364495\pi\)
−0.979807 + 0.199944i \(0.935924\pi\)
\(132\) −92529.7 13946.6i −0.462217 0.0696680i
\(133\) −14461.0 + 63357.9i −0.0708876 + 0.310579i
\(134\) −249368. 170016.i −1.19972 0.817953i
\(135\) −139498. 241618.i −0.658771 1.14102i
\(136\) −20638.7 + 35747.2i −0.0956829 + 0.165728i
\(137\) 31152.1 15002.1i 0.141803 0.0682888i −0.361637 0.932319i \(-0.617782\pi\)
0.503440 + 0.864030i \(0.332068\pi\)
\(138\) 487372. + 150334.i 2.17853 + 0.671987i
\(139\) 11576.7 + 154480.i 0.0508216 + 0.678167i 0.963194 + 0.268806i \(0.0866291\pi\)
−0.912373 + 0.409361i \(0.865752\pi\)
\(140\) 97138.6 + 425592.i 0.418863 + 1.83516i
\(141\) −121270. + 308992.i −0.513697 + 1.30888i
\(142\) 38321.2 511361.i 0.159484 2.12817i
\(143\) 122573. 18474.9i 0.501250 0.0755513i
\(144\) 15841.9 + 14699.2i 0.0636651 + 0.0590726i
\(145\) 322168. + 155148.i 1.27251 + 0.612810i
\(146\) −643448. + 438695.i −2.49822 + 1.70326i
\(147\) −13449.5 34268.7i −0.0513348 0.130799i
\(148\) −69914.1 + 21565.6i −0.262368 + 0.0809297i
\(149\) −235500. + 218512.i −0.869011 + 0.806325i −0.982315 0.187236i \(-0.940047\pi\)
0.113304 + 0.993560i \(0.463857\pi\)
\(150\) 104441. 130965.i 0.379003 0.475255i
\(151\) −113042. + 141750.i −0.403458 + 0.505920i −0.941507 0.336993i \(-0.890590\pi\)
0.538049 + 0.842913i \(0.319161\pi\)
\(152\) −86242.3 + 80021.2i −0.302769 + 0.280929i
\(153\) −17772.8 + 5482.20i −0.0613802 + 0.0189333i
\(154\) 56206.1 + 143211.i 0.190977 + 0.486602i
\(155\) −154575. + 105387.i −0.516785 + 0.352338i
\(156\) 527901. + 254224.i 1.73677 + 0.836382i
\(157\) 138208. + 128238.i 0.447490 + 0.415210i 0.871460 0.490466i \(-0.163174\pi\)
−0.423971 + 0.905676i \(0.639364\pi\)
\(158\) 339818. 51219.4i 1.08294 0.163227i
\(159\) −3847.82 + 51345.6i −0.0120704 + 0.161068i
\(160\) 116432. 296663.i 0.359560 0.916145i
\(161\) −117806. 516140.i −0.358180 1.56929i
\(162\) −18535.0 247333.i −0.0554888 0.740447i
\(163\) 150521. + 46429.7i 0.443740 + 0.136876i 0.508570 0.861021i \(-0.330174\pi\)
−0.0648298 + 0.997896i \(0.520650\pi\)
\(164\) −7644.81 + 3681.54i −0.0221951 + 0.0106886i
\(165\) 57943.7 100361.i 0.165690 0.286983i
\(166\) −162100. 280766.i −0.456577 0.790814i
\(167\) −206210. 140591.i −0.572160 0.390092i 0.242396 0.970178i \(-0.422067\pi\)
−0.814556 + 0.580085i \(0.803019\pi\)
\(168\) −67332.4 + 295002.i −0.184056 + 0.806403i
\(169\) −400354. 60343.6i −1.07827 0.162523i
\(170\) −76598.5 96051.5i −0.203282 0.254907i
\(171\) −53011.2 −0.138636
\(172\) −589222. + 307169.i −1.51865 + 0.791691i
\(173\) 420867. 1.06913 0.534563 0.845128i \(-0.320476\pi\)
0.534563 + 0.845128i \(0.320476\pi\)
\(174\) 371395. + 465715.i 0.929958 + 1.16613i
\(175\) −171934. 25914.9i −0.424392 0.0639668i
\(176\) −7067.70 + 30965.6i −0.0171987 + 0.0753526i
\(177\) −78447.3 53484.4i −0.188211 0.128320i
\(178\) 603455. + 1.04521e6i 1.42756 + 2.47261i
\(179\) 329581. 570851.i 0.768828 1.33165i −0.169370 0.985553i \(-0.554173\pi\)
0.938199 0.346097i \(-0.112493\pi\)
\(180\) −320826. + 154502.i −0.738054 + 0.355428i
\(181\) −101627. 31347.7i −0.230575 0.0711229i 0.177315 0.984154i \(-0.443259\pi\)
−0.407889 + 0.913031i \(0.633735\pi\)
\(182\) −71988.7 960622.i −0.161096 2.14968i
\(183\) 94294.0 + 413129.i 0.208140 + 0.911922i
\(184\) 350148. 892161.i 0.762441 1.94267i
\(185\) 6771.32 90357.0i 0.0145460 0.194103i
\(186\) −308170. + 46449.1i −0.653142 + 0.0984453i
\(187\) −20038.4 18592.9i −0.0419042 0.0388815i
\(188\) 1.35059e6 + 650411.i 2.78695 + 1.34213i
\(189\) −398600. + 271761.i −0.811676 + 0.553391i
\(190\) −127927. 325954.i −0.257087 0.655046i
\(191\) 818587. 252501.i 1.62361 0.500817i 0.656318 0.754485i \(-0.272113\pi\)
0.967291 + 0.253667i \(0.0816369\pi\)
\(192\) 453434. 420726.i 0.887690 0.823656i
\(193\) 411621. 516157.i 0.795435 0.997444i −0.204393 0.978889i \(-0.565522\pi\)
0.999828 0.0185551i \(-0.00590661\pi\)
\(194\) −665227. + 834168.i −1.26901 + 1.59129i
\(195\) −531930. + 493559.i −1.00177 + 0.929506i
\(196\) −158865. + 49003.4i −0.295385 + 0.0911143i
\(197\) −119732. 305071.i −0.219808 0.560061i 0.777851 0.628449i \(-0.216310\pi\)
−0.997659 + 0.0683875i \(0.978215\pi\)
\(198\) −103688. + 70693.4i −0.187960 + 0.128149i
\(199\) −239875. 115518.i −0.429390 0.206784i 0.206690 0.978407i \(-0.433731\pi\)
−0.636080 + 0.771623i \(0.719445\pi\)
\(200\) −230745. 214100.i −0.407903 0.378479i
\(201\) 388723. 58590.6i 0.678657 0.102291i
\(202\) −88783.2 + 1.18473e6i −0.153092 + 2.04287i
\(203\) 225893. 575567.i 0.384737 0.980293i
\(204\) −28752.0 125971.i −0.0483719 0.211931i
\(205\) −785.288 10478.9i −0.00130510 0.0174154i
\(206\) −967707. 298498.i −1.58882 0.490087i
\(207\) 389084. 187373.i 0.631129 0.303936i
\(208\) 99440.0 172235.i 0.159369 0.276035i
\(209\) −38955.7 67473.3i −0.0616887 0.106848i
\(210\) −744111. 507326.i −1.16437 0.793851i
\(211\) −158668. + 695170.i −0.245349 + 1.07494i 0.690719 + 0.723123i \(0.257294\pi\)
−0.936068 + 0.351819i \(0.885563\pi\)
\(212\) 229932. + 34656.7i 0.351366 + 0.0529599i
\(213\) 416444. + 522204.i 0.628938 + 0.788663i
\(214\) −1.42025e6 −2.11997
\(215\) −87518.7 818256.i −0.129123 1.20724i
\(216\) −873351. −1.27366
\(217\) 201695. + 252918.i 0.290768 + 0.364611i
\(218\) −2.09063e6 315112.i −2.97945 0.449080i
\(219\) 225716. 988926.i 0.318018 1.39333i
\(220\) −432414. 294815.i −0.602342 0.410670i
\(221\) 85581.7 + 148232.i 0.117869 + 0.204155i
\(222\) 75471.4 130720.i 0.102778 0.178017i
\(223\) 1.10881e6 533975.i 1.49312 0.719049i 0.503667 0.863898i \(-0.331984\pi\)
0.989454 + 0.144849i \(0.0462697\pi\)
\(224\) −526587. 162430.i −0.701213 0.216295i
\(225\) −10599.2 141437.i −0.0139578 0.186254i
\(226\) −20799.6 91129.1i −0.0270885 0.118682i
\(227\) 30992.4 78967.5i 0.0399201 0.101715i −0.909523 0.415653i \(-0.863553\pi\)
0.949443 + 0.313938i \(0.101648\pi\)
\(228\) 27521.2 367245.i 0.0350615 0.467863i
\(229\) −1.18893e6 + 179203.i −1.49820 + 0.225817i −0.846388 0.532567i \(-0.821228\pi\)
−0.651809 + 0.758383i \(0.725989\pi\)
\(230\) 2.09106e6 + 1.94022e6i 2.60644 + 2.41842i
\(231\) −180542. 86944.5i −0.222612 0.107204i
\(232\) 924844. 630548.i 1.12810 0.769127i
\(233\) 576668. + 1.46933e6i 0.695883 + 1.77308i 0.631793 + 0.775137i \(0.282319\pi\)
0.0640900 + 0.997944i \(0.479586\pi\)
\(234\) 750882. 231616.i 0.896462 0.276522i
\(235\) −1.36090e6 + 1.26273e6i −1.60752 + 1.49156i
\(236\) −267337. + 335230.i −0.312449 + 0.391799i
\(237\) −279086. + 349963.i −0.322751 + 0.404716i
\(238\) −155725. + 144492.i −0.178203 + 0.165349i
\(239\) −79139.6 + 24411.3i −0.0896188 + 0.0276437i −0.339240 0.940700i \(-0.610170\pi\)
0.249622 + 0.968343i \(0.419694\pi\)
\(240\) −67928.7 173079.i −0.0761246 0.193962i
\(241\) 448412. 305722.i 0.497318 0.339066i −0.288545 0.957466i \(-0.593171\pi\)
0.785863 + 0.618401i \(0.212219\pi\)
\(242\) 1.18572e6 + 571012.i 1.30150 + 0.626768i
\(243\) −495418. 459680.i −0.538215 0.499390i
\(244\) 1.89231e6 285220.i 2.03479 0.306695i
\(245\) 15386.4 205317.i 0.0163765 0.218530i
\(246\) 6395.38 16295.2i 0.00673797 0.0171681i
\(247\) 108557. + 475617.i 0.113218 + 0.496039i
\(248\) 43764.2 + 583993.i 0.0451845 + 0.602946i
\(249\) 403516. + 124468.i 0.412442 + 0.127222i
\(250\) −936315. + 450905.i −0.947484 + 0.456284i
\(251\) −177116. + 306773.i −0.177448 + 0.307350i −0.941006 0.338390i \(-0.890118\pi\)
0.763557 + 0.645740i \(0.223451\pi\)
\(252\) 307867. + 533241.i 0.305395 + 0.528959i
\(253\) 524413. + 357539.i 0.515077 + 0.351174i
\(254\) 371686. 1.62846e6i 0.361486 1.58377i
\(255\) 158233. + 23849.8i 0.152386 + 0.0229686i
\(256\) −868837. 1.08949e6i −0.828587 1.03902i
\(257\) 1.80121e6 1.70111 0.850554 0.525888i \(-0.176267\pi\)
0.850554 + 0.525888i \(0.176267\pi\)
\(258\) 460067. 1.29136e6i 0.430301 1.20781i
\(259\) −156679. −0.145131
\(260\) 2.04318e6 + 2.56207e6i 1.87445 + 2.35049i
\(261\) 498731. + 75171.6i 0.453174 + 0.0683050i
\(262\) 370217. 1.62203e6i 0.333198 1.45984i
\(263\) 356849. + 243295.i 0.318123 + 0.216892i 0.711844 0.702337i \(-0.247860\pi\)
−0.393721 + 0.919230i \(0.628813\pi\)
\(264\) −181383. 314164.i −0.160172 0.277426i
\(265\) −143987. + 249393.i −0.125953 + 0.218158i
\(266\) −545516. + 262707.i −0.472720 + 0.227650i
\(267\) −1.50218e6 463361.i −1.28957 0.397779i
\(268\) −132670. 1.77036e6i −0.112833 1.50565i
\(269\) 159402. + 698386.i 0.134311 + 0.588457i 0.996625 + 0.0820830i \(0.0261572\pi\)
−0.862314 + 0.506374i \(0.830986\pi\)
\(270\) 949657. 2.41969e6i 0.792788 2.01999i
\(271\) 40363.4 538612.i 0.0333860 0.445505i −0.955314 0.295594i \(-0.904482\pi\)
0.988700 0.149911i \(-0.0478986\pi\)
\(272\) −43367.9 + 6536.65i −0.0355423 + 0.00535714i
\(273\) 919787. + 853437.i 0.746931 + 0.693051i
\(274\) 290240. + 139772.i 0.233550 + 0.112472i
\(275\) 172234. 117427.i 0.137337 0.0936347i
\(276\) 1.09607e6 + 2.79273e6i 0.866093 + 2.20677i
\(277\) 215997. 66626.2i 0.169141 0.0521730i −0.209028 0.977910i \(-0.567030\pi\)
0.378169 + 0.925737i \(0.376554\pi\)
\(278\) −1.05802e6 + 981699.i −0.821073 + 0.761845i
\(279\) −164526. + 206309.i −0.126539 + 0.158675i
\(280\) −1.05516e6 + 1.32313e6i −0.804308 + 1.00857i
\(281\) −824586. + 765104.i −0.622974 + 0.578036i −0.927201 0.374564i \(-0.877792\pi\)
0.304227 + 0.952600i \(0.401602\pi\)
\(282\) −2.95522e6 + 911564.i −2.21293 + 0.682597i
\(283\) −613493. 1.56315e6i −0.455348 1.16021i −0.955689 0.294379i \(-0.904887\pi\)
0.500341 0.865828i \(-0.333208\pi\)
\(284\) 2.49225e6 1.69919e6i 1.83356 1.25010i
\(285\) 410921. + 197889.i 0.299672 + 0.144315i
\(286\) 846597. + 785527.i 0.612014 + 0.567866i
\(287\) −17967.5 + 2708.17i −0.0128761 + 0.00194076i
\(288\) 33592.4 448259.i 0.0238649 0.318455i
\(289\) −504942. + 1.28657e6i −0.355629 + 0.906127i
\(290\) 741332. + 3.24799e6i 0.517628 + 2.26788i
\(291\) −103853. 1.38582e6i −0.0718931 0.959347i
\(292\) −4.37737e6 1.35024e6i −3.00439 0.926731i
\(293\) −76682.6 + 36928.4i −0.0521829 + 0.0251299i −0.459793 0.888026i \(-0.652076\pi\)
0.407610 + 0.913156i \(0.366362\pi\)
\(294\) 171493. 297035.i 0.115712 0.200419i
\(295\) −265508. 459873.i −0.177632 0.307668i
\(296\) −234355. 159780.i −0.155469 0.105997i
\(297\) 128699. 563868.i 0.0846612 0.370925i
\(298\) −2.95970e6 446103.i −1.93067 0.291001i
\(299\) −2.47789e6 3.10717e6i −1.60289 2.00996i
\(300\) 985334. 0.632092
\(301\) −1.39962e6 + 256645.i −0.890420 + 0.163274i
\(302\) −1.68920e6 −1.06577
\(303\) −964824. 1.20985e6i −0.603728 0.757052i
\(304\) −123607. 18630.7i −0.0767111 0.0115623i
\(305\) −527374. + 2.31058e6i −0.324616 + 1.42223i
\(306\) −143175. 97615.3i −0.0874107 0.0595956i
\(307\) 1.09002e6 + 1.88797e6i 0.660069 + 1.14327i 0.980597 + 0.196035i \(0.0628065\pi\)
−0.320528 + 0.947239i \(0.603860\pi\)
\(308\) −452477. + 783714.i −0.271782 + 0.470740i
\(309\) 1.18843e6 572318.i 0.708072 0.340989i
\(310\) −1.66558e6 513765.i −0.984379 0.303641i
\(311\) −128966. 1.72093e6i −0.0756089 1.00893i −0.897996 0.440003i \(-0.854977\pi\)
0.822388 0.568928i \(-0.192642\pi\)
\(312\) 505453. + 2.21453e6i 0.293964 + 1.28794i
\(313\) 1.04019e6 2.65035e6i 0.600137 1.52912i −0.230940 0.972968i \(-0.574180\pi\)
0.831078 0.556157i \(-0.187725\pi\)
\(314\) −131269. + 1.75166e6i −0.0751343 + 1.00260i
\(315\) −754035. + 113652.i −0.428169 + 0.0645361i
\(316\) 1.48184e6 + 1.37495e6i 0.834802 + 0.774583i
\(317\) −1.64464e6 792015.i −0.919225 0.442675i −0.0864305 0.996258i \(-0.527546\pi\)
−0.832794 + 0.553583i \(0.813260\pi\)
\(318\) −396364. + 270237.i −0.219799 + 0.149857i
\(319\) 270818. + 690032.i 0.149005 + 0.379658i
\(320\) 3.30581e6 1.01971e6i 1.80469 0.556674i
\(321\) 1.35607e6 1.25825e6i 0.734549 0.681562i
\(322\) 3.07535e6 3.85636e6i 1.65293 2.07271i
\(323\) 67076.4 84111.1i 0.0357737 0.0448587i
\(324\) 1.06948e6 992336.i 0.565994 0.525166i
\(325\) −1.24727e6 + 384732.i −0.655017 + 0.202046i
\(326\) 536170. + 1.36614e6i 0.279420 + 0.711952i
\(327\) 2.27533e6 1.55129e6i 1.17673 0.802278i
\(328\) −29637.0 14272.4i −0.0152107 0.00732508i
\(329\) 2.35320e6 + 2.18345e6i 1.19859 + 1.11212i
\(330\) 1.06765e6 160922.i 0.539688 0.0813449i
\(331\) −54846.4 + 731874.i −0.0275155 + 0.367169i 0.966401 + 0.257037i \(0.0827464\pi\)
−0.993917 + 0.110132i \(0.964873\pi\)
\(332\) 696713. 1.77520e6i 0.346904 0.883896i
\(333\) −28439.4 124601.i −0.0140543 0.0615760i
\(334\) −173767. 2.31877e6i −0.0852319 1.13734i
\(335\) 2.10096e6 + 648060.i 1.02283 + 0.315503i
\(336\) −289666. + 139496.i −0.139975 + 0.0674082i
\(337\) −496918. + 860688.i −0.238347 + 0.412830i −0.960240 0.279175i \(-0.909939\pi\)
0.721893 + 0.692005i \(0.243272\pi\)
\(338\) −1.88609e6 3.26680e6i −0.897986 1.55536i
\(339\) 100594. + 68584.1i 0.0475417 + 0.0324134i
\(340\) 160807. 704539.i 0.0754408 0.330528i
\(341\) −383496. 57802.8i −0.178597 0.0269192i
\(342\) −307940. 386145.i −0.142364 0.178519i
\(343\) −2.32849e6 −1.06866
\(344\) −2.35523e6 1.04345e6i −1.07309 0.475417i
\(345\) −3.71549e6 −1.68061
\(346\) 2.44480e6 + 3.06568e6i 1.09788 + 1.37669i
\(347\) 3.17801e6 + 479008.i 1.41687 + 0.213559i 0.812417 0.583078i \(-0.198152\pi\)
0.604458 + 0.796637i \(0.293390\pi\)
\(348\) −779686. + 3.41603e6i −0.345121 + 1.51207i
\(349\) 1.52727e6 + 1.04127e6i 0.671199 + 0.457616i 0.850358 0.526204i \(-0.176385\pi\)
−0.179159 + 0.983820i \(0.557338\pi\)
\(350\) −809990. 1.40294e6i −0.353435 0.612167i
\(351\) −1.81075e6 + 3.13631e6i −0.784496 + 1.35879i
\(352\) 595236. 286650.i 0.256054 0.123309i
\(353\) −3.49964e6 1.07950e6i −1.49481 0.461089i −0.563749 0.825946i \(-0.690642\pi\)
−0.931063 + 0.364857i \(0.881118\pi\)
\(354\) −66105.5 882116.i −0.0280368 0.374126i
\(355\) 831253. + 3.64196e6i 0.350076 + 1.53378i
\(356\) −2.59367e6 + 6.60857e6i −1.08465 + 2.76365i
\(357\) 20677.7 275925.i 0.00858682 0.114583i
\(358\) 6.07273e6 915316.i 2.50424 0.377454i
\(359\) 17840.1 + 16553.2i 0.00730569 + 0.00677869i 0.683817 0.729653i \(-0.260319\pi\)
−0.676511 + 0.736432i \(0.736509\pi\)
\(360\) −1.24376e6 598964.i −0.505802 0.243581i
\(361\) −1.79250e6 + 1.22211e6i −0.723921 + 0.493561i
\(362\) −362003. 922369.i −0.145191 0.369942i
\(363\) −1.63802e6 + 505262.i −0.652458 + 0.201257i
\(364\) 4.15380e6 3.85416e6i 1.64321 1.52467i
\(365\) 3.53717e6 4.43547e6i 1.38971 1.74264i
\(366\) −2.46157e6 + 3.08671e6i −0.960526 + 1.20446i
\(367\) −404808. + 375607.i −0.156886 + 0.145569i −0.754710 0.656058i \(-0.772223\pi\)
0.597824 + 0.801627i \(0.296032\pi\)
\(368\) 973085. 300157.i 0.374568 0.115539i
\(369\) −5415.07 13797.4i −0.00207032 0.00527509i
\(370\) 697514. 475557.i 0.264880 0.180592i
\(371\) 448639. + 216053.i 0.169224 + 0.0814940i
\(372\) −1.34383e6 1.24689e6i −0.503486 0.467166i
\(373\) −655270. + 98766.0i −0.243864 + 0.0367566i −0.269837 0.962906i \(-0.586970\pi\)
0.0259728 + 0.999663i \(0.491732\pi\)
\(374\) 19032.4 253969.i 0.00703580 0.0938862i
\(375\) 494532. 1.26005e6i 0.181600 0.462709i
\(376\) 1.29316e6 + 5.66571e6i 0.471718 + 2.06673i
\(377\) −346863. 4.62856e6i −0.125691 1.67723i
\(378\) −4.29502e6 1.32484e6i −1.54609 0.476906i
\(379\) −1.53335e6 + 738421.i −0.548330 + 0.264062i −0.687472 0.726210i \(-0.741280\pi\)
0.139142 + 0.990272i \(0.455565\pi\)
\(380\) 1.02986e6 1.78376e6i 0.365863 0.633693i
\(381\) 1.08782e6 + 1.88417e6i 0.383925 + 0.664977i
\(382\) 6.59442e6 + 4.49600e6i 2.31216 + 1.57640i
\(383\) −392555. + 1.71990e6i −0.136743 + 0.599108i 0.859396 + 0.511311i \(0.170840\pi\)
−0.996138 + 0.0877973i \(0.972017\pi\)
\(384\) 3.89558e6 + 587164.i 1.34817 + 0.203204i
\(385\) −698768. 876227.i −0.240260 0.301276i
\(386\) 6.15089e6 2.10121
\(387\) −458151. 1.06649e6i −0.155500 0.361974i
\(388\) −6.27599e6 −2.11643
\(389\) 229514. + 287802.i 0.0769016 + 0.0964315i 0.818794 0.574087i \(-0.194643\pi\)
−0.741893 + 0.670519i \(0.766072\pi\)
\(390\) −6.68515e6 1.00762e6i −2.22561 0.335457i
\(391\) −195019. + 854436.i −0.0645113 + 0.282643i
\(392\) −532522. 363068.i −0.175034 0.119336i
\(393\) 1.08352e6 + 1.87672e6i 0.353881 + 0.612940i
\(394\) 1.52669e6 2.64430e6i 0.495461 0.858163i
\(395\) −2.25555e6 + 1.08622e6i −0.727379 + 0.350287i
\(396\) −705390. 217584.i −0.226043 0.0697251i
\(397\) −42401.9 565814.i −0.0135023 0.180176i −0.999877 0.0156635i \(-0.995014\pi\)
0.986375 0.164513i \(-0.0526051\pi\)
\(398\) −551970. 2.41834e6i −0.174666 0.765261i
\(399\) 288124. 734129.i 0.0906041 0.230855i
\(400\) 24993.5 333515.i 0.00781048 0.104224i
\(401\) 1.18730e6 178956.i 0.368722 0.0555759i 0.0379321 0.999280i \(-0.487923\pi\)
0.330790 + 0.943704i \(0.392685\pi\)
\(402\) 2.68487e6 + 2.49119e6i 0.828625 + 0.768851i
\(403\) 2.18793e6 + 1.05365e6i 0.671074 + 0.323172i
\(404\) −5.77408e6 + 3.93670e6i −1.76007 + 1.19999i
\(405\) 660108. + 1.68193e6i 0.199976 + 0.509530i
\(406\) 5.50476e6 1.69799e6i 1.65739 0.511236i
\(407\) 137695. 127762.i 0.0412033 0.0382311i
\(408\) 312316. 391632.i 0.0928846 0.116474i
\(409\) −819282. + 1.02735e6i −0.242173 + 0.303675i −0.888032 0.459781i \(-0.847928\pi\)
0.645859 + 0.763456i \(0.276499\pi\)
\(410\) 71769.2 66592.1i 0.0210852 0.0195642i
\(411\) −400954. + 123678.i −0.117082 + 0.0361150i
\(412\) −2.17631e6 5.54514e6i −0.631651 1.60942i
\(413\) −758657. + 517244.i −0.218862 + 0.149218i
\(414\) 3.62505e6 + 1.74573e6i 1.03947 + 0.500583i
\(415\) 1.73128e6 + 1.60639e6i 0.493454 + 0.457859i
\(416\) −4.09058e6 + 616556.i −1.15892 + 0.174678i
\(417\) 140488. 1.87468e6i 0.0395638 0.527943i
\(418\) 265198. 675712.i 0.0742384 0.189156i
\(419\) 1.01429e6 + 4.44389e6i 0.282245 + 1.23660i 0.894907 + 0.446252i \(0.147241\pi\)
−0.612662 + 0.790345i \(0.709901\pi\)
\(420\) −395886. 5.28273e6i −0.109508 1.46128i
\(421\) −3.20577e6 988848.i −0.881509 0.271909i −0.179226 0.983808i \(-0.557359\pi\)
−0.702282 + 0.711898i \(0.747836\pi\)
\(422\) −5.98547e6 + 2.88245e6i −1.63613 + 0.787917i
\(423\) −1.30928e6 + 2.26774e6i −0.355780 + 0.616230i
\(424\) 450728. + 780684.i 0.121759 + 0.210892i
\(425\) 237825. + 162146.i 0.0638683 + 0.0435447i
\(426\) −1.38474e6 + 6.06694e6i −0.369695 + 1.61974i
\(427\) 4.05231e6 + 610788.i 1.07556 + 0.162114i
\(428\) −5.20878e6 6.53161e6i −1.37444 1.72350i
\(429\) −1.50427e6 −0.394623
\(430\) 5.45196e6 5.39073e6i 1.42194 1.40597i
\(431\) 7.05019e6 1.82813 0.914066 0.405566i \(-0.132926\pi\)
0.914066 + 0.405566i \(0.132926\pi\)
\(432\) −578566. 725498.i −0.149157 0.187037i
\(433\) 1.31185e6 + 197730.i 0.336253 + 0.0506820i 0.314999 0.949092i \(-0.397996\pi\)
0.0212543 + 0.999774i \(0.493234\pi\)
\(434\) −670666. + 2.93838e6i −0.170916 + 0.748831i
\(435\) −3.58535e6 2.44445e6i −0.908465 0.619381i
\(436\) −6.21823e6 1.07703e7i −1.56657 2.71339i
\(437\) −1.24897e6 + 2.16328e6i −0.312858 + 0.541886i
\(438\) 8.51473e6 4.10048e6i 2.12073 1.02129i
\(439\) 804324. + 248101.i 0.199191 + 0.0614423i 0.392745 0.919647i \(-0.371525\pi\)
−0.193554 + 0.981090i \(0.562002\pi\)
\(440\) −151620. 2.02323e6i −0.0373358 0.498211i
\(441\) −64622.6 283130.i −0.0158230 0.0693250i
\(442\) −582612. + 1.48447e6i −0.141848 + 0.361423i
\(443\) 349769. 4.66734e6i 0.0846782 1.12995i −0.779377 0.626555i \(-0.784464\pi\)
0.864055 0.503397i \(-0.167917\pi\)
\(444\) 877963. 132332.i 0.211358 0.0318571i
\(445\) −6.44508e6 5.98016e6i −1.54287 1.43157i
\(446\) 1.03306e7 + 4.97497e6i 2.45917 + 1.18428i
\(447\) 3.22118e6 2.19616e6i 0.762511 0.519871i
\(448\) −2.18548e6 5.56850e6i −0.514459 1.31082i
\(449\) −5.31981e6 + 1.64094e6i −1.24532 + 0.384130i −0.846247 0.532790i \(-0.821144\pi\)
−0.399071 + 0.916920i \(0.630667\pi\)
\(450\) 968687. 898810.i 0.225503 0.209236i
\(451\) 13582.2 17031.5i 0.00314433 0.00394286i
\(452\) 342812. 429873.i 0.0789241 0.0989677i
\(453\) 1.61287e6 1.49652e6i 0.369278 0.342640i
\(454\) 755250. 232964.i 0.171969 0.0530455i
\(455\) 2.56381e6 + 6.53248e6i 0.580574 + 1.47928i
\(456\) 1.17963e6 804256.i 0.265664 0.181127i
\(457\) 3.60695e6 + 1.73701e6i 0.807885 + 0.389057i 0.791775 0.610813i \(-0.209157\pi\)
0.0161102 + 0.999870i \(0.494872\pi\)
\(458\) −8.21183e6 7.61946e6i −1.82926 1.69731i
\(459\) 789706. 119029.i 0.174958 0.0263707i
\(460\) −1.25392e6 + 1.67324e7i −0.276296 + 3.68691i
\(461\) −816119. + 2.07944e6i −0.178855 + 0.455715i −0.991983 0.126369i \(-0.959668\pi\)
0.813128 + 0.582085i \(0.197763\pi\)
\(462\) −415441. 1.82016e6i −0.0905533 0.396740i
\(463\) 289657. + 3.86521e6i 0.0627960 + 0.837955i 0.936314 + 0.351163i \(0.114214\pi\)
−0.873518 + 0.486792i \(0.838167\pi\)
\(464\) 1.13648e6 + 350557.i 0.245056 + 0.0755899i
\(465\) 2.04549e6 985054.i 0.438696 0.211265i
\(466\) −7.35305e6 + 1.27358e7i −1.56856 + 2.71683i
\(467\) −1.51196e6 2.61879e6i −0.320810 0.555659i 0.659846 0.751401i \(-0.270622\pi\)
−0.980655 + 0.195742i \(0.937288\pi\)
\(468\) 3.81905e6 + 2.60378e6i 0.806010 + 0.549528i
\(469\) 845975. 3.70646e6i 0.177593 0.778085i
\(470\) −1.71034e7 2.57793e6i −3.57140 0.538302i
\(471\) −1.42653e6 1.78881e6i −0.296297 0.371545i
\(472\) −1.66225e6 −0.343433
\(473\) 1.02076e6 1.36686e6i 0.209783 0.280912i
\(474\) −4.17040e6 −0.852574
\(475\) 511512. + 641415.i 0.104021 + 0.130438i
\(476\) −1.23563e6 186241.i −0.249960 0.0376754i
\(477\) −90385.1 + 396003.i −0.0181887 + 0.0796898i
\(478\) −637537. 434665.i −0.127625 0.0870132i
\(479\) −2.94029e6 5.09273e6i −0.585533 1.01417i −0.994809 0.101762i \(-0.967552\pi\)
0.409276 0.912411i \(-0.365781\pi\)
\(480\) −1.93373e6 + 3.34932e6i −0.383083 + 0.663520i
\(481\) −1.05969e6 + 510318.i −0.208840 + 0.100572i
\(482\) 4.83175e6 + 1.49040e6i 0.947299 + 0.292203i
\(483\) 480113. + 6.40667e6i 0.0936432 + 1.24958i
\(484\) 1.72260e6 + 7.54721e6i 0.334250 + 1.46444i
\(485\) 2.83960e6 7.23519e6i 0.548155 1.39668i
\(486\) 470546. 6.27900e6i 0.0903673 1.20587i
\(487\) 701959. 105803.i 0.134119 0.0202152i −0.0816398 0.996662i \(-0.526016\pi\)
0.215759 + 0.976447i \(0.430778\pi\)
\(488\) 5.43843e6 + 5.04612e6i 1.03377 + 0.959198i
\(489\) −1.72225e6 829394.i −0.325705 0.156851i
\(490\) 1.58496e6 1.08060e6i 0.298213 0.203318i
\(491\) 330498. + 842096.i 0.0618679 + 0.157637i 0.958465 0.285211i \(-0.0920635\pi\)
−0.896597 + 0.442848i \(0.853968\pi\)
\(492\) 98395.2 30350.9i 0.0183257 0.00565273i
\(493\) −750329. + 696204.i −0.139038 + 0.129009i
\(494\) −2.83390e6 + 3.55360e6i −0.522477 + 0.655165i
\(495\) 569996. 714753.i 0.104558 0.131112i
\(496\) −456134. + 423231.i −0.0832508 + 0.0772455i
\(497\) 6.17247e6 1.90395e6i 1.12090 0.345753i
\(498\) 1.43736e6 + 3.66233e6i 0.259712 + 0.661736i
\(499\) 2.23234e6 1.52198e6i 0.401337 0.273627i −0.345785 0.938314i \(-0.612387\pi\)
0.747122 + 0.664687i \(0.231435\pi\)
\(500\) −5.50762e6 2.65233e6i −0.985232 0.474463i
\(501\) 2.22020e6 + 2.06004e6i 0.395182 + 0.366675i
\(502\) −3.26346e6 + 491887.i −0.577988 + 0.0871177i
\(503\) 53543.1 714482.i 0.00943590 0.125913i −0.990497 0.137538i \(-0.956081\pi\)
0.999932 + 0.0116244i \(0.00370024\pi\)
\(504\) −872084. + 2.22203e6i −0.152926 + 0.389650i
\(505\) −1.92586e6 8.43775e6i −0.336044 1.47231i
\(506\) 441910. + 5.89687e6i 0.0767286 + 1.02387i
\(507\) 4.69504e6 + 1.44823e6i 0.811183 + 0.250217i
\(508\) 8.85231e6 4.26305e6i 1.52194 0.732927i
\(509\) −314290. + 544367.i −0.0537696 + 0.0931316i −0.891657 0.452711i \(-0.850457\pi\)
0.837888 + 0.545843i \(0.183790\pi\)
\(510\) 745443. + 1.29114e6i 0.126908 + 0.219811i
\(511\) −8.10522e6 5.52604e6i −1.37313 0.936186i
\(512\) 577385. 2.52969e6i 0.0973398 0.426474i
\(513\) 2.25081e6 + 339256.i 0.377612 + 0.0569159i
\(514\) 1.04632e7 + 1.31204e7i 1.74685 + 2.19048i
\(515\) 7.37732e6 1.22569
\(516\) 7.62614e6 2.62026e6i 1.26090 0.433231i
\(517\) −3.84855e6 −0.633244
\(518\) −910143. 1.14128e6i −0.149034 0.186883i
\(519\) −5.05033e6 761215.i −0.823003 0.124048i
\(520\) −2.82694e6 + 1.23856e7i −0.458467 + 2.00867i
\(521\) −498998. 340211.i −0.0805387 0.0549103i 0.522381 0.852712i \(-0.325044\pi\)
−0.602920 + 0.797802i \(0.705996\pi\)
\(522\) 2.34954e6 + 4.06953e6i 0.377405 + 0.653684i
\(523\) 1.82267e6 3.15695e6i 0.291375 0.504677i −0.682760 0.730643i \(-0.739220\pi\)
0.974135 + 0.225966i \(0.0725538\pi\)
\(524\) 8.81733e6 4.24620e6i 1.40284 0.675573i
\(525\) 2.01631e6 + 621949.i 0.319271 + 0.0984819i
\(526\) 300707. + 4.01266e6i 0.0473892 + 0.632365i
\(527\) −119165. 522096.i −0.0186906 0.0818887i
\(528\) 140818. 358799.i 0.0219824 0.0560101i
\(529\) 1.03971e6 1.38740e7i 0.161538 2.15557i
\(530\) −2.65305e6 + 399883.i −0.410257 + 0.0618363i
\(531\) −549052. 509446.i −0.0845040 0.0784083i
\(532\) −3.20885e6 1.54530e6i −0.491553 0.236719i
\(533\) −112701. + 76838.4i −0.0171835 + 0.0117155i
\(534\) −5.35089e6 1.36339e7i −0.812032 2.06902i
\(535\) 9.88661e6 3.04962e6i 1.49336 0.460639i
\(536\) 5.04520e6 4.68127e6i 0.758520 0.703803i
\(537\) −4.98740e6 + 6.25401e6i −0.746344 + 0.935886i
\(538\) −4.16123e6 + 5.21802e6i −0.619821 + 0.777230i
\(539\) 312883. 290313.i 0.0463885 0.0430423i
\(540\) 1.46108e7 4.50683e6i 2.15620 0.665100i
\(541\) −3.22802e6 8.22485e6i −0.474179 1.20819i −0.945324 0.326133i \(-0.894254\pi\)
0.471144 0.882056i \(-0.343841\pi\)
\(542\) 4.15783e6 2.83476e6i 0.607952 0.414494i
\(543\) 1.16281e6 + 559978.i 0.169242 + 0.0815026i
\(544\) 668733. + 620493.i 0.0968847 + 0.0898959i
\(545\) 1.52299e7 2.29553e6i 2.19637 0.331049i
\(546\) −873610. + 1.16575e7i −0.125411 + 1.67349i
\(547\) −1.34208e6 + 3.41957e6i −0.191784 + 0.488656i −0.994129 0.108204i \(-0.965490\pi\)
0.802345 + 0.596860i \(0.203585\pi\)
\(548\) 421658. + 1.84740e6i 0.0599803 + 0.262791i
\(549\) 249813. + 3.33353e6i 0.0353740 + 0.472034i
\(550\) 1.85587e6 + 572459.i 0.261601 + 0.0806933i
\(551\) −2.62846e6 + 1.26580e6i −0.368826 + 0.177617i
\(552\) −5.81535e6 + 1.00725e7i −0.812322 + 1.40698i
\(553\) 2.16444e6 + 3.74893e6i 0.300977 + 0.521308i
\(554\) 1.74004e6 + 1.18634e6i 0.240871 + 0.164223i
\(555\) −244682. + 1.07202e6i −0.0337186 + 0.147731i
\(556\) −8.39505e6 1.26535e6i −1.15169 0.173590i
\(557\) −4.73002e6 5.93126e6i −0.645989 0.810045i 0.345749 0.938327i \(-0.387625\pi\)
−0.991738 + 0.128283i \(0.959054\pi\)
\(558\) −2.45852e6 −0.334264
\(559\) −8.63033e6 + 6.29450e6i −1.16815 + 0.851985i
\(560\) −1.79814e6 −0.242299
\(561\) 206828. + 259354.i 0.0277462 + 0.0347926i
\(562\) −1.03632e7 1.56200e6i −1.38405 0.208612i
\(563\) −1.57811e6 + 6.91414e6i −0.209829 + 0.919321i 0.754851 + 0.655896i \(0.227709\pi\)
−0.964680 + 0.263425i \(0.915148\pi\)
\(564\) −1.50305e7 1.02476e7i −1.98964 1.35652i
\(565\) 340466. + 589704.i 0.0448696 + 0.0777165i
\(566\) 7.82259e6 1.35491e7i 1.02638 1.77775i
\(567\) 2.81487e6 1.35557e6i 0.367707 0.177078i
\(568\) 1.11742e7 + 3.44678e6i 1.45327 + 0.448274i
\(569\) 732253. + 9.77124e6i 0.0948157 + 1.26523i 0.818261 + 0.574847i \(0.194938\pi\)
−0.723445 + 0.690382i \(0.757443\pi\)
\(570\) 945560. + 4.14277e6i 0.121900 + 0.534077i
\(571\) −2.94391e6 + 7.50095e6i −0.377862 + 0.962778i 0.607806 + 0.794085i \(0.292050\pi\)
−0.985669 + 0.168692i \(0.946046\pi\)
\(572\) −507668. + 6.77435e6i −0.0648768 + 0.865720i
\(573\) −1.02796e7 + 1.54940e6i −1.30795 + 0.197141i
\(574\) −124100. 115148.i −0.0157214 0.0145873i
\(575\) −6.02147e6 2.89979e6i −0.759509 0.365760i
\(576\) 4.03174e6 2.74879e6i 0.506333 0.345212i
\(577\) −2.23853e6 5.70369e6i −0.279913 0.713208i −0.999817 0.0191337i \(-0.993909\pi\)
0.719903 0.694074i \(-0.244186\pi\)
\(578\) −1.23049e7 + 3.79554e6i −1.53199 + 0.472557i
\(579\) −5.87295e6 + 5.44931e6i −0.728048 + 0.675530i
\(580\) −1.22184e7 + 1.53213e7i −1.50815 + 1.89115i
\(581\) 2.54621e6 3.19285e6i 0.312935 0.392408i
\(582\) 9.49136e6 8.80670e6i 1.16150 1.07772i
\(583\) −570459. + 175963.i −0.0695109 + 0.0214413i
\(584\) −6.48806e6 1.65313e7i −0.787196 2.00574i
\(585\) −4.72968e6 + 3.22464e6i −0.571403 + 0.389576i
\(586\) −714441. 344057.i −0.0859454 0.0413891i
\(587\) −3.65625e6 3.39251e6i −0.437967 0.406374i 0.430132 0.902766i \(-0.358467\pi\)
−0.868098 + 0.496393i \(0.834658\pi\)
\(588\) 1.99499e6 300696.i 0.237956 0.0358661i
\(589\) 114064. 1.52208e6i 0.0135475 0.180779i
\(590\) 1.80749e6 4.60540e6i 0.213769 0.544675i
\(591\) 884982. + 3.87736e6i 0.104224 + 0.456633i
\(592\) −22521.5 300529.i −0.00264115 0.0352437i
\(593\) 8.43732e6 + 2.60257e6i 0.985298 + 0.303924i 0.745212 0.666827i \(-0.232348\pi\)
0.240086 + 0.970752i \(0.422824\pi\)
\(594\) 4.85494e6 2.33802e6i 0.564570 0.271883i
\(595\) 773771. 1.34021e6i 0.0896025 0.155196i
\(596\) −8.80314e6 1.52475e7i −1.01513 1.75826i
\(597\) 2.66953e6 + 1.82005e6i 0.306548 + 0.209001i
\(598\) 8.23934e6 3.60989e7i 0.942192 4.12801i
\(599\) −1.26228e7 1.90258e6i −1.43744 0.216659i −0.616354 0.787469i \(-0.711391\pi\)
−0.821082 + 0.570810i \(0.806629\pi\)
\(600\) 2.38166e6 + 2.98651e6i 0.270086 + 0.338677i
\(601\) −3.69684e6 −0.417488 −0.208744 0.977970i \(-0.566938\pi\)
−0.208744 + 0.977970i \(0.566938\pi\)
\(602\) −9.99982e6 8.70432e6i −1.12461 0.978911i
\(603\) 3.10117e6 0.347322
\(604\) −6.19515e6 7.76848e6i −0.690971 0.866450i
\(605\) −9.48009e6 1.42889e6i −1.05299 0.158713i
\(606\) 3.20818e6 1.40560e7i 0.354877 1.55482i
\(607\) 1.29083e7 + 8.80074e6i 1.42199 + 0.969499i 0.997959 + 0.0638532i \(0.0203389\pi\)
0.424035 + 0.905646i \(0.360613\pi\)
\(608\) 1.30006e6 + 2.25176e6i 0.142627 + 0.247038i
\(609\) −3.75170e6 + 6.49814e6i −0.409907 + 0.709980i
\(610\) −1.98942e7 + 9.58057e6i −2.16473 + 1.04248i
\(611\) 2.30274e7 + 7.10301e6i 2.49541 + 0.769732i
\(612\) −76172.8 1.01646e6i −0.00822094 0.109701i
\(613\) 2.64755e6 + 1.15997e7i 0.284572 + 1.24679i 0.891860 + 0.452311i \(0.149400\pi\)
−0.607288 + 0.794482i \(0.707743\pi\)
\(614\) −7.42051e6 + 1.89071e7i −0.794351 + 2.02397i
\(615\) −9529.77 + 127166.i −0.00101600 + 0.0135576i
\(616\) −3.46909e6 + 522882.i −0.368353 + 0.0555203i
\(617\) 917488. + 851304.i 0.0970258 + 0.0900268i 0.727195 0.686431i \(-0.240824\pi\)
−0.630169 + 0.776458i \(0.717014\pi\)
\(618\) 1.10724e7 + 5.33220e6i 1.16620 + 0.561611i
\(619\) −333955. + 227687.i −0.0350317 + 0.0238842i −0.580709 0.814111i \(-0.697225\pi\)
0.545678 + 0.837995i \(0.316272\pi\)
\(620\) −3.74579e6 9.54411e6i −0.391349 0.997140i
\(621\) −1.77194e7 + 5.46570e6i −1.84382 + 0.568744i
\(622\) 1.17864e7 1.09362e7i 1.22154 1.13342i
\(623\) −9.47885e6 + 1.18861e7i −0.978443 + 1.22693i
\(624\) −1.50478e6 + 1.88694e6i −0.154708 + 0.193997i
\(625\) 8.94358e6 8.29843e6i 0.915823 0.849760i
\(626\) 2.53482e7 7.81887e6i 2.58530 0.797459i
\(627\) 345425. + 880127.i 0.0350901 + 0.0894081i
\(628\) −8.53718e6 + 5.82055e6i −0.863804 + 0.588932i
\(629\) 233686. + 112537.i 0.0235508 + 0.0113415i
\(630\) −5.20803e6 4.83235e6i −0.522784 0.485073i
\(631\) 8.18763e6 1.23409e6i 0.818625 0.123388i 0.273638 0.961833i \(-0.411773\pi\)
0.544986 + 0.838445i \(0.316535\pi\)
\(632\) −585638. + 7.81480e6i −0.0583226 + 0.778261i
\(633\) 3.16133e6 8.05495e6i 0.313589 0.799012i
\(634\) −3.78443e6 1.65807e7i −0.373919 1.63825i
\(635\) 909325. + 1.21341e7i 0.0894921 + 1.19419i
\(636\) −2.69646e6 831749.i −0.264333 0.0815360i
\(637\) −2.40792e6 + 1.15959e6i −0.235122 + 0.113229i
\(638\) −3.45317e6 + 5.98107e6i −0.335866 + 0.581737i
\(639\) 2.63454e6 + 4.56315e6i 0.255242 + 0.442092i
\(640\) 1.82050e7 + 1.24120e7i 1.75688 + 1.19782i
\(641\) −1.10940e6 + 4.86061e6i −0.106646 + 0.467246i 0.893199 + 0.449661i \(0.148455\pi\)
−0.999845 + 0.0175857i \(0.994402\pi\)
\(642\) 1.70428e7 + 2.56879e6i 1.63193 + 0.245975i
\(643\) −1.08278e7 1.35776e7i −1.03279 1.29508i −0.954521 0.298143i \(-0.903633\pi\)
−0.0782674 0.996932i \(-0.524939\pi\)
\(644\) 2.90139e7 2.75671
\(645\) −429758. + 9.97723e6i −0.0406747 + 0.944302i
\(646\) 1.00233e6 0.0944993
\(647\) −7.75487e6 9.72430e6i −0.728306 0.913267i 0.270470 0.962728i \(-0.412821\pi\)
−0.998776 + 0.0494614i \(0.984250\pi\)
\(648\) 5.59279e6 + 842978.i 0.523228 + 0.0788640i
\(649\) 244954. 1.07321e6i 0.0228282 0.100017i
\(650\) −1.00478e7 6.85049e6i −0.932801 0.635973i
\(651\) −1.96286e6 3.39977e6i −0.181525 0.314411i
\(652\) −4.31634e6 + 7.47612e6i −0.397646 + 0.688743i
\(653\) 795307. 383000.i 0.0729881 0.0351492i −0.397034 0.917804i \(-0.629960\pi\)
0.470022 + 0.882655i \(0.344246\pi\)
\(654\) 2.45173e7 + 7.56258e6i 2.24144 + 0.691394i
\(655\) 905732. + 1.20861e7i 0.0824890 + 1.10074i
\(656\) −7777.30 34074.6i −0.000705618 0.00309151i
\(657\) 2.92346e6 7.44884e6i 0.264231 0.673249i
\(658\) −2.23506e6 + 2.98248e7i −0.201245 + 2.68542i
\(659\) 6.81690e6 1.02748e6i 0.611468 0.0921639i 0.163994 0.986461i \(-0.447562\pi\)
0.447473 + 0.894297i \(0.352324\pi\)
\(660\) 4.65567e6 + 4.31983e6i 0.416028 + 0.386017i
\(661\) −3.80472e6 1.83226e6i −0.338703 0.163111i 0.256798 0.966465i \(-0.417332\pi\)
−0.595502 + 0.803354i \(0.703047\pi\)
\(662\) −5.64973e6 + 3.85192e6i −0.501052 + 0.341611i
\(663\) −758862. 1.93355e6i −0.0670469 0.170833i
\(664\) 7.06458e6 2.17914e6i 0.621823 0.191807i
\(665\) 3.23334e6 3.00010e6i 0.283529 0.263076i
\(666\) 742418. 930963.i 0.0648579 0.0813292i
\(667\) 1.48179e7 1.85811e7i 1.28965 1.61717i
\(668\) 1.00265e7 9.30323e6i 0.869377 0.806664i
\(669\) −1.42713e7 + 4.40212e6i −1.23282 + 0.380274i
\(670\) 7.48379e6 + 1.90684e7i 0.644073 + 1.64107i
\(671\) −4.05938e6 + 2.76764e6i −0.348059 + 0.237303i
\(672\) 6.02517e6 + 2.90157e6i 0.514690 + 0.247862i
\(673\) 620157. + 575421.i 0.0527793 + 0.0489720i 0.706122 0.708091i \(-0.250443\pi\)
−0.653342 + 0.757063i \(0.726634\pi\)
\(674\) −9.15602e6 + 1.38005e6i −0.776349 + 0.117016i
\(675\) −455119. + 6.07314e6i −0.0384473 + 0.513043i
\(676\) 8.10647e6 2.06549e7i 0.682284 1.73843i
\(677\) −2.05841e6 9.01849e6i −0.172608 0.756244i −0.984918 0.173019i \(-0.944648\pi\)
0.812311 0.583225i \(-0.198209\pi\)
\(678\) 84768.3 + 1.13115e6i 0.00708205 + 0.0945035i
\(679\) −1.28427e7 3.96144e6i −1.06901 0.329746i
\(680\) 2.52412e6 1.21555e6i 0.209333 0.100809i
\(681\) −514731. + 891541.i −0.0425317 + 0.0736671i
\(682\) −1.80667e6 3.12924e6i −0.148737 0.257619i
\(683\) −1.53673e6 1.04773e6i −0.126051 0.0859401i 0.498653 0.866802i \(-0.333828\pi\)
−0.624704 + 0.780861i \(0.714780\pi\)
\(684\) 646472. 2.83238e6i 0.0528335 0.231479i
\(685\) −2.32053e6 349764.i −0.188956 0.0284806i
\(686\) −1.35261e7 1.69613e7i −1.09740 1.37609i
\(687\) 1.45911e7 1.17950
\(688\) −693461. 2.64775e6i −0.0558536 0.213259i
\(689\) 3.73804e6 0.299983
\(690\) −2.15831e7 2.70644e7i −1.72581 2.16409i
\(691\) 597076. + 89994.7i 0.0475701 + 0.00717004i 0.172784 0.984960i \(-0.444724\pi\)
−0.125214 + 0.992130i \(0.539962\pi\)
\(692\) −5.13247e6 + 2.24868e7i −0.407438 + 1.78510i
\(693\) −1.30611e6 890493.i −0.103311 0.0704365i
\(694\) 1.49718e7 + 2.59318e7i 1.17998 + 2.04378i
\(695\) 5.25712e6 9.10560e6i 0.412844 0.715067i
\(696\) −1.22384e7 + 5.89372e6i −0.957641 + 0.461176i
\(697\) 28743.7 + 8866.24i 0.00224109 + 0.000691286i
\(698\) 1.28699e6 + 1.71737e7i 0.0999852 + 1.33421i
\(699\) −4.26238e6 1.86747e7i −0.329958 1.44564i
\(700\) 3.48137e6 8.87038e6i 0.268537 0.684222i
\(701\) −1.50511e6 + 2.00843e7i −0.115684 + 1.54370i 0.573556 + 0.819166i \(0.305563\pi\)
−0.689240 + 0.724533i \(0.742056\pi\)
\(702\) −3.33641e7 + 5.02884e6i −2.55527 + 0.385145i
\(703\) 541915. + 502824.i 0.0413564 + 0.0383732i
\(704\) 6.46146e6 + 3.11167e6i 0.491359 + 0.236626i
\(705\) 1.86144e7 1.26911e7i 1.41051 0.961672i
\(706\) −1.24660e7 3.17629e7i −0.941274 2.39833i
\(707\) −1.43005e7 + 4.41111e6i −1.07597 + 0.331894i
\(708\) 3.81433e6 3.53918e6i 0.285980 0.265350i
\(709\) −1.46562e7 + 1.83782e7i −1.09498 + 1.37306i −0.173403 + 0.984851i \(0.555476\pi\)
−0.921573 + 0.388206i \(0.873095\pi\)
\(710\) −2.17001e7 + 2.72110e7i −1.61553 + 2.02581i
\(711\) −2.58851e6 + 2.40179e6i −0.192033 + 0.178181i
\(712\) −2.62995e7 + 8.11232e6i −1.94423 + 0.599715i
\(713\) 4.54273e6 + 1.15747e7i 0.334652 + 0.852680i
\(714\) 2.13001e6 1.45222e6i 0.156364 0.106607i
\(715\) −7.58002e6 3.65035e6i −0.554505 0.267036i
\(716\) 2.64812e7 + 2.45710e7i 1.93044 + 1.79118i
\(717\) 993814. 149793.i 0.0721950 0.0108817i
\(718\) −16944.5 + 226108.i −0.00122664 + 0.0163684i
\(719\) 2.42210e6 6.17141e6i 0.174731 0.445207i −0.816500 0.577345i \(-0.804089\pi\)
0.991231 + 0.132138i \(0.0421841\pi\)
\(720\) −326387. 1.42999e6i −0.0234639 0.102802i
\(721\) −953294. 1.27208e7i −0.0682950 0.911333i
\(722\) −1.93147e7 5.95778e6i −1.37894 0.425345i
\(723\) −5.93382e6 + 2.85758e6i −0.422171 + 0.203307i
\(724\) 2.91424e6 5.04762e6i 0.206623 0.357882i
\(725\) −3.90277e6 6.75980e6i −0.275758 0.477627i
\(726\) −1.31956e7 8.99664e6i −0.929157 0.633489i
\(727\) −3.59634e6 + 1.57566e7i −0.252363 + 1.10567i 0.676848 + 0.736122i \(0.263345\pi\)
−0.929211 + 0.369550i \(0.879512\pi\)
\(728\) 2.17220e7 + 3.27407e6i 1.51905 + 0.228960i
\(729\) 9.14684e6 + 1.14698e7i 0.637459 + 0.799349i
\(730\) 5.28562e7 3.67104
\(731\) 2.27187e6 + 622518.i 0.157250 + 0.0430882i
\(732\) −2.32233e7 −1.60194
\(733\) 6.24936e6 + 7.83645e6i 0.429611 + 0.538715i 0.948772 0.315961i \(-0.102327\pi\)
−0.519161 + 0.854676i \(0.673755\pi\)
\(734\) −5.08752e6 766820.i −0.348551 0.0525356i
\(735\) −555989. + 2.43595e6i −0.0379619 + 0.166322i
\(736\) −1.75011e7 1.19320e7i −1.19089 0.811932i
\(737\) 2.27892e6 + 3.94721e6i 0.154547 + 0.267684i
\(738\) 69047.0 119593.i 0.00466664 0.00808285i
\(739\) 1.43687e7 6.91960e6i 0.967847 0.466090i 0.117938 0.993021i \(-0.462372\pi\)
0.849908 + 0.526931i \(0.176657\pi\)
\(740\) 4.74518e6 + 1.46369e6i 0.318547 + 0.0982588i
\(741\) −442419. 5.90368e6i −0.0295998 0.394982i
\(742\) 1.03235e6 + 4.52303e6i 0.0688363 + 0.301592i
\(743\) −5.78609e6 + 1.47427e7i −0.384515 + 0.979728i 0.599298 + 0.800526i \(0.295447\pi\)
−0.983812 + 0.179202i \(0.942649\pi\)
\(744\) 531095. 7.08697e6i 0.0351755 0.469384i
\(745\) 2.15609e7 3.24978e6i 1.42323 0.214518i
\(746\) −4.52587e6 4.19940e6i −0.297752 0.276274i
\(747\) 3.00133e6 + 1.44537e6i 0.196794 + 0.0947711i
\(748\) 1.23778e6 843906.i 0.0808892 0.0551493i
\(749\) −6.53605e6 1.66536e7i −0.425707 1.08468i
\(750\) 1.20512e7 3.71729e6i 0.782305 0.241309i
\(751\) 1.70290e7 1.58006e7i 1.10177 1.02229i 0.102147 0.994769i \(-0.467429\pi\)
0.999621 0.0275225i \(-0.00876179\pi\)
\(752\) −3.84986e6 + 4.82758e6i −0.248257 + 0.311304i
\(753\) 2.68021e6 3.36088e6i 0.172259 0.216006i
\(754\) 3.17005e7 2.94138e7i 2.03066