Properties

Label 43.6.g.a.9.2
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 9.2
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.80705 - 7.28181i) q^{2} +(-18.0713 - 2.72380i) q^{3} +(-12.1822 + 53.3739i) q^{4} +(-87.0006 - 59.3160i) q^{5} +(85.1064 + 147.409i) q^{6} +(-25.6945 + 44.5042i) q^{7} +(190.876 - 91.9209i) q^{8} +(86.9470 + 26.8196i) q^{9} +O(q^{10})\) \(q+(-5.80705 - 7.28181i) q^{2} +(-18.0713 - 2.72380i) q^{3} +(-12.1822 + 53.3739i) q^{4} +(-87.0006 - 59.3160i) q^{5} +(85.1064 + 147.409i) q^{6} +(-25.6945 + 44.5042i) q^{7} +(190.876 - 91.9209i) q^{8} +(86.9470 + 26.8196i) q^{9} +(73.2889 + 977.972i) q^{10} +(-89.3088 - 391.288i) q^{11} +(365.528 - 931.351i) q^{12} +(66.5463 - 887.998i) q^{13} +(473.280 - 71.3355i) q^{14} +(1410.64 + 1308.89i) q^{15} +(-199.377 - 96.0149i) q^{16} +(938.053 - 639.553i) q^{17} +(-309.610 - 788.874i) q^{18} +(-2471.40 + 762.326i) q^{19} +(4225.79 - 3920.96i) q^{20} +(585.553 - 734.260i) q^{21} +(-2330.66 + 2922.56i) q^{22} +(-785.281 + 728.634i) q^{23} +(-3699.74 + 1141.22i) q^{24} +(2909.03 + 7412.07i) q^{25} +(-6852.67 + 4672.07i) q^{26} +(2502.94 + 1205.35i) q^{27} +(-2062.35 - 1913.58i) q^{28} +(-1435.42 + 216.355i) q^{29} +(1339.38 - 17872.8i) q^{30} +(-16.1137 + 41.0572i) q^{31} +(-1049.93 - 4600.03i) q^{32} +(548.132 + 7314.32i) q^{33} +(-10104.4 - 3116.80i) q^{34} +(4875.25 - 2347.80i) q^{35} +(-2490.68 + 4313.98i) q^{36} +(125.215 + 216.878i) q^{37} +(19902.7 + 13569.4i) q^{38} +(-3621.31 + 15866.0i) q^{39} +(-22058.7 - 3324.81i) q^{40} +(-8967.44 - 11244.8i) q^{41} -8747.07 q^{42} +(-1197.46 - 12065.4i) q^{43} +21972.5 q^{44} +(-5973.61 - 7490.67i) q^{45} +(9865.94 + 1487.05i) q^{46} +(-939.225 + 4115.01i) q^{47} +(3341.47 + 2278.17i) q^{48} +(7083.08 + 12268.3i) q^{49} +(37080.5 - 64225.2i) q^{50} +(-18693.8 + 9002.46i) q^{51} +(46585.2 + 14369.6i) q^{52} +(-912.537 - 12177.0i) q^{53} +(-5757.54 - 25225.4i) q^{54} +(-15439.7 + 39339.7i) q^{55} +(-813.592 + 10856.6i) q^{56} +(46737.8 - 7044.58i) q^{57} +(9911.02 + 9196.08i) q^{58} +(10982.1 + 5288.68i) q^{59} +(-87045.2 + 59346.4i) q^{60} +(-10706.2 - 27279.0i) q^{61} +(392.544 - 121.084i) q^{62} +(-3427.64 + 3180.39i) q^{63} +(-31814.7 + 39894.4i) q^{64} +(-58462.1 + 73309.1i) q^{65} +(50078.4 - 46466.0i) q^{66} +(14465.5 - 4462.02i) q^{67} +(22707.9 + 57858.7i) q^{68} +(16175.7 - 11028.4i) q^{69} +(-45407.0 - 21866.9i) q^{70} +(20477.1 + 19000.0i) q^{71} +(19061.3 - 2873.03i) q^{72} +(2379.68 - 31754.7i) q^{73} +(852.136 - 2171.21i) q^{74} +(-32380.7 - 141869. i) q^{75} +(-10581.1 - 141195. i) q^{76} +(19708.7 + 6079.33i) q^{77} +(136562. - 65764.9i) q^{78} +(-11716.1 + 20292.9i) q^{79} +(11650.7 + 20179.6i) q^{80} +(-60216.6 - 41055.0i) q^{81} +(-29808.2 + 130598. i) q^{82} +(62427.2 + 9409.38i) q^{83} +(32057.0 + 40198.2i) q^{84} -119547. q^{85} +(-80904.4 + 78784.1i) q^{86} +26529.2 q^{87} +(-53014.4 - 66477.9i) q^{88} +(-117886. - 17768.5i) q^{89} +(-19856.6 + 86997.3i) q^{90} +(37809.8 + 25778.3i) q^{91} +(-29323.6 - 50789.9i) q^{92} +(403.027 - 698.064i) q^{93} +(35418.9 - 17056.8i) q^{94} +(260232. + 80270.8i) q^{95} +(6443.92 + 85988.1i) q^{96} +(7031.64 + 30807.6i) q^{97} +(48203.3 - 122820. i) q^{98} +(2729.04 - 36416.5i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.80705 7.28181i −1.02655 1.28725i −0.957128 0.289666i \(-0.906456\pi\)
−0.0694229 0.997587i \(-0.522116\pi\)
\(3\) −18.0713 2.72380i −1.15927 0.174732i −0.458885 0.888496i \(-0.651751\pi\)
−0.700387 + 0.713764i \(0.746989\pi\)
\(4\) −12.1822 + 53.3739i −0.380695 + 1.66793i
\(5\) −87.0006 59.3160i −1.55631 1.06108i −0.967520 0.252794i \(-0.918651\pi\)
−0.588794 0.808283i \(-0.700397\pi\)
\(6\) 85.1064 + 147.409i 0.965126 + 1.67165i
\(7\) −25.6945 + 44.5042i −0.198196 + 0.343286i −0.947944 0.318438i \(-0.896842\pi\)
0.749747 + 0.661724i \(0.230175\pi\)
\(8\) 190.876 91.9209i 1.05445 0.507796i
\(9\) 86.9470 + 26.8196i 0.357806 + 0.110369i
\(10\) 73.2889 + 977.972i 0.231760 + 3.09262i
\(11\) −89.3088 391.288i −0.222542 0.975022i −0.955556 0.294808i \(-0.904744\pi\)
0.733014 0.680214i \(-0.238113\pi\)
\(12\) 365.528 931.351i 0.732771 1.86707i
\(13\) 66.5463 887.998i 0.109211 1.45732i −0.626183 0.779676i \(-0.715384\pi\)
0.735394 0.677640i \(-0.236997\pi\)
\(14\) 473.280 71.3355i 0.645354 0.0972715i
\(15\) 1410.64 + 1308.89i 1.61879 + 1.50201i
\(16\) −199.377 96.0149i −0.194704 0.0937646i
\(17\) 938.053 639.553i 0.787236 0.536728i −0.101670 0.994818i \(-0.532419\pi\)
0.888906 + 0.458090i \(0.151466\pi\)
\(18\) −309.610 788.874i −0.225234 0.573887i
\(19\) −2471.40 + 762.326i −1.57058 + 0.484459i −0.953234 0.302235i \(-0.902267\pi\)
−0.617344 + 0.786694i \(0.711791\pi\)
\(20\) 4225.79 3920.96i 2.36229 2.19188i
\(21\) 585.553 734.260i 0.289746 0.363330i
\(22\) −2330.66 + 2922.56i −1.02665 + 1.28738i
\(23\) −785.281 + 728.634i −0.309532 + 0.287204i −0.819607 0.572926i \(-0.805808\pi\)
0.510075 + 0.860130i \(0.329618\pi\)
\(24\) −3699.74 + 1141.22i −1.31112 + 0.404427i
\(25\) 2909.03 + 7412.07i 0.930888 + 2.37186i
\(26\) −6852.67 + 4672.07i −1.98805 + 1.35543i
\(27\) 2502.94 + 1205.35i 0.660755 + 0.318203i
\(28\) −2062.35 1913.58i −0.497126 0.461266i
\(29\) −1435.42 + 216.355i −0.316945 + 0.0477718i −0.305589 0.952164i \(-0.598853\pi\)
−0.0113569 + 0.999936i \(0.503615\pi\)
\(30\) 1339.38 17872.8i 0.271707 3.62568i
\(31\) −16.1137 + 41.0572i −0.00301157 + 0.00767334i −0.932372 0.361501i \(-0.882264\pi\)
0.929360 + 0.369175i \(0.120360\pi\)
\(32\) −1049.93 4600.03i −0.181253 0.794119i
\(33\) 548.132 + 7314.32i 0.0876195 + 1.16920i
\(34\) −10104.4 3116.80i −1.49904 0.462394i
\(35\) 4875.25 2347.80i 0.672708 0.323959i
\(36\) −2490.68 + 4313.98i −0.320303 + 0.554781i
\(37\) 125.215 + 216.878i 0.0150366 + 0.0260442i 0.873446 0.486921i \(-0.161880\pi\)
−0.858409 + 0.512966i \(0.828547\pi\)
\(38\) 19902.7 + 13569.4i 2.23590 + 1.52441i
\(39\) −3621.31 + 15866.0i −0.381245 + 1.67034i
\(40\) −22058.7 3324.81i −2.17986 0.328562i
\(41\) −8967.44 11244.8i −0.833123 1.04470i −0.998291 0.0584376i \(-0.981388\pi\)
0.165168 0.986265i \(-0.447183\pi\)
\(42\) −8747.07 −0.765138
\(43\) −1197.46 12065.4i −0.0987616 0.995111i
\(44\) 21972.5 1.71099
\(45\) −5973.61 7490.67i −0.439750 0.551428i
\(46\) 9865.94 + 1487.05i 0.687454 + 0.103617i
\(47\) −939.225 + 4115.01i −0.0620190 + 0.271723i −0.996424 0.0844881i \(-0.973075\pi\)
0.934405 + 0.356211i \(0.115932\pi\)
\(48\) 3341.47 + 2278.17i 0.209331 + 0.142720i
\(49\) 7083.08 + 12268.3i 0.421437 + 0.729949i
\(50\) 37080.5 64225.2i 2.09759 3.63313i
\(51\) −18693.8 + 9002.46i −1.00640 + 0.484659i
\(52\) 46585.2 + 14369.6i 2.38913 + 0.736949i
\(53\) −912.537 12177.0i −0.0446232 0.595455i −0.974033 0.226406i \(-0.927302\pi\)
0.929410 0.369049i \(-0.120317\pi\)
\(54\) −5757.54 25225.4i −0.268691 1.17721i
\(55\) −15439.7 + 39339.7i −0.688227 + 1.75357i
\(56\) −813.592 + 10856.6i −0.0346686 + 0.462621i
\(57\) 46737.8 7044.58i 1.90538 0.287189i
\(58\) 9911.02 + 9196.08i 0.386855 + 0.358949i
\(59\) 10982.1 + 5288.68i 0.410728 + 0.197796i 0.627826 0.778354i \(-0.283945\pi\)
−0.217098 + 0.976150i \(0.569659\pi\)
\(60\) −87045.2 + 59346.4i −3.12153 + 2.12822i
\(61\) −10706.2 27279.0i −0.368393 0.938650i −0.988099 0.153816i \(-0.950844\pi\)
0.619707 0.784834i \(-0.287252\pi\)
\(62\) 392.544 121.084i 0.0129691 0.00400043i
\(63\) −3427.64 + 3180.39i −0.108804 + 0.100955i
\(64\) −31814.7 + 39894.4i −0.970907 + 1.21748i
\(65\) −58462.1 + 73309.1i −1.71629 + 2.15216i
\(66\) 50078.4 46466.0i 1.41511 1.31303i
\(67\) 14465.5 4462.02i 0.393683 0.121435i −0.0915923 0.995797i \(-0.529196\pi\)
0.485275 + 0.874362i \(0.338719\pi\)
\(68\) 22707.9 + 57858.7i 0.595531 + 1.51739i
\(69\) 16175.7 11028.4i 0.409015 0.278862i
\(70\) −45407.0 21866.9i −1.10759 0.533386i
\(71\) 20477.1 + 19000.0i 0.482085 + 0.447309i 0.883392 0.468634i \(-0.155254\pi\)
−0.401308 + 0.915943i \(0.631444\pi\)
\(72\) 19061.3 2873.03i 0.433333 0.0653145i
\(73\) 2379.68 31754.7i 0.0522652 0.697430i −0.908112 0.418727i \(-0.862476\pi\)
0.960377 0.278703i \(-0.0899045\pi\)
\(74\) 852.136 2171.21i 0.0180896 0.0460916i
\(75\) −32380.7 141869.i −0.664711 2.91229i
\(76\) −10581.1 141195.i −0.210135 2.80405i
\(77\) 19708.7 + 6079.33i 0.378818 + 0.116850i
\(78\) 136562. 65764.9i 2.54152 1.22393i
\(79\) −11716.1 + 20292.9i −0.211210 + 0.365827i −0.952094 0.305807i \(-0.901074\pi\)
0.740883 + 0.671634i \(0.234407\pi\)
\(80\) 11650.7 + 20179.6i 0.203529 + 0.352523i
\(81\) −60216.6 41055.0i −1.01977 0.695269i
\(82\) −29808.2 + 130598.i −0.489555 + 2.14488i
\(83\) 62427.2 + 9409.38i 0.994668 + 0.149922i 0.626154 0.779700i \(-0.284628\pi\)
0.368515 + 0.929622i \(0.379866\pi\)
\(84\) 32057.0 + 40198.2i 0.495706 + 0.621596i
\(85\) −119547. −1.79470
\(86\) −80904.4 + 78784.1i −1.17958 + 1.14866i
\(87\) 26529.2 0.375773
\(88\) −53014.4 66477.9i −0.729772 0.915105i
\(89\) −117886. 17768.5i −1.57757 0.237780i −0.698902 0.715217i \(-0.746328\pi\)
−0.878666 + 0.477437i \(0.841566\pi\)
\(90\) −19856.6 + 86997.3i −0.258403 + 1.13214i
\(91\) 37809.8 + 25778.3i 0.478631 + 0.326325i
\(92\) −29323.6 50789.9i −0.361200 0.625616i
\(93\) 403.027 698.064i 0.00483200 0.00836927i
\(94\) 35418.9 17056.8i 0.413442 0.199103i
\(95\) 260232. + 80270.8i 2.95836 + 0.912533i
\(96\) 6443.92 + 85988.1i 0.0713628 + 0.952270i
\(97\) 7031.64 + 30807.6i 0.0758800 + 0.332452i 0.998593 0.0530366i \(-0.0168900\pi\)
−0.922713 + 0.385489i \(0.874033\pi\)
\(98\) 48203.3 122820.i 0.507004 1.29183i
\(99\) 2729.04 36416.5i 0.0279848 0.373431i
\(100\) −431050. + 64970.3i −4.31050 + 0.649703i
\(101\) −39094.5 36274.4i −0.381340 0.353831i 0.466092 0.884736i \(-0.345662\pi\)
−0.847431 + 0.530905i \(0.821852\pi\)
\(102\) 174110. + 83847.0i 1.65700 + 0.797971i
\(103\) 135888. 92646.9i 1.26208 0.860474i 0.267413 0.963582i \(-0.413831\pi\)
0.994670 + 0.103108i \(0.0328787\pi\)
\(104\) −68923.5 175614.i −0.624862 1.59212i
\(105\) −94496.8 + 29148.4i −0.836458 + 0.258013i
\(106\) −83371.1 + 77357.1i −0.720694 + 0.668706i
\(107\) −120437. + 151024.i −1.01696 + 1.27522i −0.0560260 + 0.998429i \(0.517843\pi\)
−0.960930 + 0.276793i \(0.910728\pi\)
\(108\) −94825.7 + 118908.i −0.782288 + 0.980958i
\(109\) −132398. + 122847.i −1.06737 + 0.990374i −0.999973 0.00735204i \(-0.997660\pi\)
−0.0673966 + 0.997726i \(0.521469\pi\)
\(110\) 376123. 116019.i 2.96380 0.914210i
\(111\) −1672.05 4260.32i −0.0128808 0.0328197i
\(112\) 9395.96 6406.06i 0.0707777 0.0482554i
\(113\) 228848. + 110207.i 1.68598 + 0.811923i 0.996123 + 0.0879726i \(0.0280388\pi\)
0.689852 + 0.723950i \(0.257676\pi\)
\(114\) −322706. 299427.i −2.32565 2.15789i
\(115\) 111540. 16811.9i 0.786474 0.118542i
\(116\) 5938.95 79249.7i 0.0409793 0.546831i
\(117\) 29601.7 75424.0i 0.199918 0.509384i
\(118\) −25262.2 110681.i −0.167019 0.731758i
\(119\) 4360.01 + 58180.3i 0.0282241 + 0.376625i
\(120\) 389572. + 120167.i 2.46964 + 0.761784i
\(121\) −27.9626 + 13.4661i −0.000173626 + 8.36139e-5i
\(122\) −136469. + 236371.i −0.830106 + 1.43779i
\(123\) 131424. + 227634.i 0.783273 + 1.35667i
\(124\) −1995.08 1360.22i −0.0116521 0.00794430i
\(125\) 113346. 496603.i 0.648833 2.84272i
\(126\) 43063.5 + 6490.77i 0.241648 + 0.0364225i
\(127\) −4443.60 5572.10i −0.0244470 0.0306556i 0.769458 0.638698i \(-0.220527\pi\)
−0.793905 + 0.608042i \(0.791955\pi\)
\(128\) 324266. 1.74935
\(129\) −11224.3 + 221299.i −0.0593863 + 1.17086i
\(130\) 873315. 4.53224
\(131\) −15065.9 18892.0i −0.0767036 0.0961833i 0.741999 0.670401i \(-0.233878\pi\)
−0.818703 + 0.574218i \(0.805306\pi\)
\(132\) −397071. 59848.8i −1.98351 0.298965i
\(133\) 29574.7 129575.i 0.144975 0.635175i
\(134\) −116493. 79423.8i −0.560453 0.382110i
\(135\) −146260. 253331.i −0.690705 1.19634i
\(136\) 120263. 208302.i 0.557552 0.965708i
\(137\) −188320. + 90690.0i −0.857225 + 0.412818i −0.810254 0.586079i \(-0.800671\pi\)
−0.0469705 + 0.998896i \(0.514957\pi\)
\(138\) −174239. 53745.8i −0.778841 0.240241i
\(139\) 12751.8 + 170161.i 0.0559802 + 0.747004i 0.952604 + 0.304212i \(0.0983931\pi\)
−0.896624 + 0.442792i \(0.853988\pi\)
\(140\) 65919.6 + 288813.i 0.284246 + 1.24536i
\(141\) 28181.5 71805.2i 0.119376 0.304164i
\(142\) 19442.7 259444.i 0.0809161 1.07975i
\(143\) −353406. + 53267.4i −1.44522 + 0.217832i
\(144\) −14760.1 13695.4i −0.0593177 0.0550388i
\(145\) 137716. + 66320.5i 0.543956 + 0.261956i
\(146\) −245050. + 167073.i −0.951422 + 0.648669i
\(147\) −94583.9 240996.i −0.361014 0.919848i
\(148\) −13101.0 + 4041.13i −0.0491644 + 0.0151652i
\(149\) 31674.9 29390.0i 0.116882 0.108451i −0.619567 0.784944i \(-0.712692\pi\)
0.736449 + 0.676493i \(0.236501\pi\)
\(150\) −845027. + 1.05963e6i −3.06650 + 3.84527i
\(151\) 276586. 346828.i 0.987161 1.23786i 0.0158925 0.999874i \(-0.494941\pi\)
0.971268 0.237987i \(-0.0764875\pi\)
\(152\) −401657. + 372683.i −1.41009 + 1.30837i
\(153\) 98713.4 30449.0i 0.340916 0.105159i
\(154\) −70180.8 178818.i −0.238461 0.607588i
\(155\) 3837.25 2616.19i 0.0128289 0.00874663i
\(156\) −802714. 386567.i −2.64088 1.27178i
\(157\) −105431. 97825.6i −0.341365 0.316740i 0.490796 0.871274i \(-0.336706\pi\)
−0.832161 + 0.554534i \(0.812896\pi\)
\(158\) 215805. 32527.3i 0.687730 0.103659i
\(159\) −16676.9 + 222538.i −0.0523147 + 0.698091i
\(160\) −181511. + 462483.i −0.560536 + 1.42822i
\(161\) −12249.9 53670.2i −0.0372449 0.163181i
\(162\) 50726.2 + 676894.i 0.151860 + 2.02644i
\(163\) 204376. + 63041.5i 0.602504 + 0.185848i 0.580976 0.813920i \(-0.302671\pi\)
0.0215276 + 0.999768i \(0.493147\pi\)
\(164\) 709423. 341640.i 2.05966 0.991881i
\(165\) 386168. 668863.i 1.10425 1.91261i
\(166\) −294000. 509223.i −0.828090 1.43429i
\(167\) −121894. 83106.1i −0.338214 0.230591i 0.382288 0.924043i \(-0.375136\pi\)
−0.720502 + 0.693453i \(0.756089\pi\)
\(168\) 44274.0 193977.i 0.121025 0.530245i
\(169\) −416967. 62847.6i −1.12301 0.169267i
\(170\) 694214. + 870517.i 1.84235 + 2.31023i
\(171\) −235326. −0.615432
\(172\) 658567. + 83071.1i 1.69738 + 0.214106i
\(173\) −473558. −1.20298 −0.601490 0.798881i \(-0.705426\pi\)
−0.601490 + 0.798881i \(0.705426\pi\)
\(174\) −154056. 193180.i −0.385750 0.483715i
\(175\) −404615. 60985.8i −0.998726 0.150534i
\(176\) −19763.3 + 86588.7i −0.0480926 + 0.210707i
\(177\) −184054. 125486.i −0.441584 0.301067i
\(178\) 555184. + 961607.i 1.31337 + 2.27482i
\(179\) 78401.7 135796.i 0.182891 0.316777i −0.759973 0.649955i \(-0.774788\pi\)
0.942864 + 0.333178i \(0.108121\pi\)
\(180\) 472578. 227582.i 1.08716 0.523547i
\(181\) 700494. + 216074.i 1.58931 + 0.490236i 0.958354 0.285584i \(-0.0921876\pi\)
0.630954 + 0.775821i \(0.282664\pi\)
\(182\) −31850.8 425019.i −0.0712757 0.951109i
\(183\) 119172. + 522127.i 0.263055 + 1.15252i
\(184\) −82914.3 + 211262.i −0.180545 + 0.460021i
\(185\) 1970.59 26295.7i 0.00423319 0.0564880i
\(186\) −7423.56 + 1118.92i −0.0157337 + 0.00237147i
\(187\) −334026. 309931.i −0.698515 0.648127i
\(188\) −208192. 100260.i −0.429606 0.206887i
\(189\) −117955. + 80420.3i −0.240194 + 0.163761i
\(190\) −926660. 2.36109e6i −1.86224 4.74492i
\(191\) −441168. + 136082.i −0.875025 + 0.269909i −0.699558 0.714576i \(-0.746620\pi\)
−0.175467 + 0.984485i \(0.556143\pi\)
\(192\) 683596. 634284.i 1.33828 1.24174i
\(193\) −48927.9 + 61353.7i −0.0945504 + 0.118562i −0.826856 0.562414i \(-0.809873\pi\)
0.732306 + 0.680976i \(0.238444\pi\)
\(194\) 183502. 230104.i 0.350056 0.438956i
\(195\) 1.25616e6 1.16555e6i 2.36570 2.19505i
\(196\) −741093. + 228597.i −1.37795 + 0.425040i
\(197\) −10372.0 26427.3i −0.0190413 0.0485163i 0.921037 0.389475i \(-0.127344\pi\)
−0.940078 + 0.340959i \(0.889248\pi\)
\(198\) −281026. + 191600.i −0.509428 + 0.347322i
\(199\) 549186. + 264474.i 0.983074 + 0.473424i 0.855161 0.518362i \(-0.173458\pi\)
0.127913 + 0.991785i \(0.459172\pi\)
\(200\) 1.23659e6 + 1.14738e6i 2.18600 + 2.02831i
\(201\) −273563. + 41233.0i −0.477604 + 0.0719872i
\(202\) −37119.5 + 495325.i −0.0640065 + 0.854107i
\(203\) 27253.8 69441.4i 0.0464180 0.118271i
\(204\) −252764. 1.10743e6i −0.425246 1.86312i
\(205\) 113175. + 1.51022e6i 0.188091 + 2.50989i
\(206\) −1.46374e6 451505.i −2.40324 0.741302i
\(207\) −87819.5 + 42291.6i −0.142451 + 0.0686007i
\(208\) −98528.9 + 170657.i −0.157908 + 0.273505i
\(209\) 519007. + 898946.i 0.821878 + 1.42353i
\(210\) 761001. + 518841.i 1.19079 + 0.811870i
\(211\) −236429. + 1.03586e6i −0.365591 + 1.60176i 0.373152 + 0.927770i \(0.378277\pi\)
−0.738743 + 0.673987i \(0.764580\pi\)
\(212\) 661048. + 99637.0i 1.01017 + 0.152258i
\(213\) −318295. 399130.i −0.480708 0.602788i
\(214\) 1.79911e6 2.68549
\(215\) −611494. + 1.12073e6i −0.902185 + 1.65350i
\(216\) 588547. 0.858315
\(217\) −1413.18 1772.07i −0.00203727 0.00255466i
\(218\) 1.66339e6 + 250716.i 2.37057 + 0.357306i
\(219\) −129497. + 567365.i −0.182453 + 0.799378i
\(220\) −1.91162e6 1.30332e6i −2.66284 1.81550i
\(221\) −505498. 875549.i −0.696208 1.20587i
\(222\) −21313.1 + 36915.4i −0.0290245 + 0.0502719i
\(223\) −291443. + 140352.i −0.392456 + 0.188997i −0.619696 0.784842i \(-0.712744\pi\)
0.227240 + 0.973839i \(0.427030\pi\)
\(224\) 231698. + 71469.4i 0.308533 + 0.0951700i
\(225\) 54142.1 + 722476.i 0.0712983 + 0.951409i
\(226\) −526422. 2.30641e6i −0.685588 3.00376i
\(227\) 61005.0 155438.i 0.0785779 0.200213i −0.886186 0.463329i \(-0.846655\pi\)
0.964764 + 0.263116i \(0.0847501\pi\)
\(228\) −193374. + 2.58039e6i −0.246355 + 3.28737i
\(229\) 680533. 102574.i 0.857551 0.129255i 0.294474 0.955659i \(-0.404855\pi\)
0.563077 + 0.826404i \(0.309617\pi\)
\(230\) −770137. 714582.i −0.959949 0.890703i
\(231\) −339602. 163544.i −0.418736 0.201653i
\(232\) −254099. + 173242.i −0.309944 + 0.211317i
\(233\) −286998. 731259.i −0.346329 0.882432i −0.992832 0.119520i \(-0.961864\pi\)
0.646503 0.762912i \(-0.276231\pi\)
\(234\) −721122. + 222437.i −0.860932 + 0.265562i
\(235\) 325799. 302298.i 0.384840 0.357080i
\(236\) −416064. + 521728.i −0.486273 + 0.609767i
\(237\) 266998. 334805.i 0.308772 0.387188i
\(238\) 398339. 369605.i 0.455838 0.422956i
\(239\) −181589. + 56012.9i −0.205634 + 0.0634298i −0.395861 0.918310i \(-0.629554\pi\)
0.190227 + 0.981740i \(0.439078\pi\)
\(240\) −155577. 396405.i −0.174349 0.444233i
\(241\) −712801. + 485980.i −0.790544 + 0.538984i −0.889947 0.456064i \(-0.849259\pi\)
0.0994033 + 0.995047i \(0.468307\pi\)
\(242\) 260.438 + 125.420i 0.000285868 + 0.000137667i
\(243\) 481505. + 446771.i 0.523100 + 0.485366i
\(244\) 1.58641e6 239113.i 1.70585 0.257116i
\(245\) 111472. 1.48749e6i 0.118645 1.58321i
\(246\) 894397. 2.27889e6i 0.942307 2.40096i
\(247\) 512482. + 2.24533e6i 0.534486 + 2.34174i
\(248\) 698.288 + 9318.00i 0.000720950 + 0.00962041i
\(249\) −1.10251e6 340079.i −1.12689 0.347601i
\(250\) −4.27438e6 + 2.05843e6i −4.32536 + 2.08299i
\(251\) 257344. 445732.i 0.257828 0.446570i −0.707832 0.706381i \(-0.750327\pi\)
0.965660 + 0.259810i \(0.0836600\pi\)
\(252\) −127993. 221691.i −0.126966 0.219911i
\(253\) 355238. + 242197.i 0.348914 + 0.237885i
\(254\) −14770.8 + 64714.9i −0.0143654 + 0.0629390i
\(255\) 2.16036e6 + 325622.i 2.08054 + 0.313591i
\(256\) −864958. 1.08462e6i −0.824888 1.03438i
\(257\) 318803. 0.301085 0.150543 0.988604i \(-0.451898\pi\)
0.150543 + 0.988604i \(0.451898\pi\)
\(258\) 1.67664e6 1.20336e6i 1.56816 1.12550i
\(259\) −12869.3 −0.0119208
\(260\) −3.20059e6 4.01342e6i −2.93628 3.68198i
\(261\) −130608. 19686.0i −0.118678 0.0178878i
\(262\) −50079.7 + 219413.i −0.0450721 + 0.197474i
\(263\) 31053.2 + 21171.7i 0.0276832 + 0.0188741i 0.577083 0.816686i \(-0.304191\pi\)
−0.549399 + 0.835560i \(0.685143\pi\)
\(264\) 776963. + 1.34574e6i 0.686105 + 1.18837i
\(265\) −642897. + 1.11353e6i −0.562376 + 0.974064i
\(266\) −1.11528e6 + 537093.i −0.966455 + 0.465420i
\(267\) 2.08195e6 + 642198.i 1.78728 + 0.551303i
\(268\) 61932.9 + 826437.i 0.0526726 + 0.702867i
\(269\) −33401.6 146342.i −0.0281440 0.123307i 0.958905 0.283729i \(-0.0915716\pi\)
−0.987049 + 0.160422i \(0.948714\pi\)
\(270\) −995363. + 2.53614e6i −0.830944 + 2.11721i
\(271\) −28771.1 + 383923.i −0.0237976 + 0.317557i 0.972583 + 0.232555i \(0.0747086\pi\)
−0.996381 + 0.0850016i \(0.972910\pi\)
\(272\) −248433. + 37445.2i −0.203604 + 0.0306884i
\(273\) −613055. 568832.i −0.497844 0.461931i
\(274\) 1.75397e6 + 844667.i 1.41139 + 0.679687i
\(275\) 2.64045e6 1.80023e6i 2.10546 1.43548i
\(276\) 391572. + 997709.i 0.309413 + 0.788372i
\(277\) −1.96637e6 + 606545.i −1.53981 + 0.474967i −0.944494 0.328528i \(-0.893448\pi\)
−0.595312 + 0.803495i \(0.702971\pi\)
\(278\) 1.16503e6 1.08099e6i 0.904118 0.838899i
\(279\) −2502.18 + 3137.63i −0.00192445 + 0.00241319i
\(280\) 714755. 896274.i 0.544831 0.683197i
\(281\) −81975.6 + 76062.2i −0.0619325 + 0.0574650i −0.710532 0.703665i \(-0.751546\pi\)
0.648599 + 0.761130i \(0.275355\pi\)
\(282\) −686523. + 211764.i −0.514082 + 0.158573i
\(283\) −587823. 1.49775e6i −0.436295 1.11166i −0.964859 0.262769i \(-0.915364\pi\)
0.528563 0.848894i \(-0.322731\pi\)
\(284\) −1.26356e6 + 861482.i −0.929610 + 0.633797i
\(285\) −4.48407e6 2.15941e6i −3.27009 1.57479i
\(286\) 2.44013e6 + 2.26411e6i 1.76400 + 1.63675i
\(287\) 730856. 110159.i 0.523754 0.0789432i
\(288\) 32083.0 428117.i 0.0227926 0.304146i
\(289\) −47817.9 + 121838.i −0.0336780 + 0.0858101i
\(290\) −316790. 1.38795e6i −0.221195 0.969120i
\(291\) −43156.7 575886.i −0.0298755 0.398661i
\(292\) 1.66588e6 + 513856.i 1.14337 + 0.352683i
\(293\) −596464. + 287242.i −0.405897 + 0.195470i −0.625681 0.780079i \(-0.715179\pi\)
0.219784 + 0.975548i \(0.429465\pi\)
\(294\) −1.20563e6 + 2.08822e6i −0.813479 + 1.40899i
\(295\) −641743. 1.11153e6i −0.429344 0.743646i
\(296\) 43836.0 + 29886.9i 0.0290805 + 0.0198267i
\(297\) 248105. 1.08702e6i 0.163209 0.715065i
\(298\) −397949. 59981.2i −0.259590 0.0391268i
\(299\) 594769. + 745816.i 0.384742 + 0.482452i
\(300\) 7.96658e6 5.11056
\(301\) 567730. + 256724.i 0.361182 + 0.163324i
\(302\) −4.13168e6 −2.60681
\(303\) 607682. + 762009.i 0.380250 + 0.476819i
\(304\) 565935. + 85301.0i 0.351223 + 0.0529383i
\(305\) −686633. + 3.00834e6i −0.422645 + 1.85173i
\(306\) −794957. 541993.i −0.485334 0.330895i
\(307\) −596945. 1.03394e6i −0.361483 0.626107i 0.626722 0.779243i \(-0.284396\pi\)
−0.988205 + 0.153136i \(0.951063\pi\)
\(308\) −564573. + 977870.i −0.339112 + 0.587360i
\(309\) −2.70802e6 + 1.30411e6i −1.61345 + 0.776996i
\(310\) −41333.7 12749.8i −0.0244287 0.00753525i
\(311\) 64542.4 + 861259.i 0.0378394 + 0.504932i 0.983635 + 0.180171i \(0.0576650\pi\)
−0.945796 + 0.324761i \(0.894716\pi\)
\(312\) 767196. + 3.36130e6i 0.446190 + 1.95489i
\(313\) 543238. 1.38415e6i 0.313422 0.798585i −0.684176 0.729317i \(-0.739838\pi\)
0.997598 0.0692688i \(-0.0220666\pi\)
\(314\) −100105. + 1.33581e6i −0.0572968 + 0.764573i
\(315\) 486855. 73381.6i 0.276454 0.0416688i
\(316\) −940381. 872546.i −0.529769 0.491554i
\(317\) −2.26715e6 1.09180e6i −1.26716 0.610234i −0.325103 0.945679i \(-0.605399\pi\)
−0.942060 + 0.335445i \(0.891113\pi\)
\(318\) 1.71733e6 1.17085e6i 0.952324 0.649284i
\(319\) 212853. + 542340.i 0.117112 + 0.298397i
\(320\) 5.13427e6 1.58371e6i 2.80288 0.864573i
\(321\) 2.58781e6 2.40114e6i 1.40175 1.30063i
\(322\) −319681. + 400867.i −0.171821 + 0.215457i
\(323\) −1.83076e6 + 2.29570e6i −0.976392 + 1.22436i
\(324\) 2.92484e6 2.71385e6i 1.54789 1.43623i
\(325\) 6.77549e6 2.08996e6i 3.55822 1.09757i
\(326\) −727763. 1.85431e6i −0.379268 0.966358i
\(327\) 2.72721e6 1.85938e6i 1.41042 0.961609i
\(328\) −2.74530e6 1.32207e6i −1.40898 0.678530i
\(329\) −159003. 147533.i −0.0809868 0.0751448i
\(330\) −7.11303e6 + 1.07212e6i −3.59559 + 0.541947i
\(331\) −106794. + 1.42507e6i −0.0535770 + 0.714936i 0.904142 + 0.427232i \(0.140511\pi\)
−0.957719 + 0.287704i \(0.907108\pi\)
\(332\) −1.26272e6 + 3.21735e6i −0.628726 + 1.60197i
\(333\) 5070.45 + 22215.1i 0.00250574 + 0.0109784i
\(334\) 102683. + 1.37021e6i 0.0503655 + 0.672081i
\(335\) −1.52318e6 469838.i −0.741546 0.228737i
\(336\) −187246. + 90172.8i −0.0904823 + 0.0435740i
\(337\) −218231. + 377987.i −0.104675 + 0.181302i −0.913605 0.406602i \(-0.866713\pi\)
0.808931 + 0.587904i \(0.200047\pi\)
\(338\) 1.96370e6 + 3.40123e6i 0.934940 + 1.61936i
\(339\) −3.83539e6 2.61492e6i −1.81263 1.23583i
\(340\) 1.45635e6 6.38068e6i 0.683232 2.99344i
\(341\) 17504.3 + 2638.34i 0.00815188 + 0.00122870i
\(342\) 1.36655e6 + 1.71360e6i 0.631772 + 0.792217i
\(343\) −1.59168e6 −0.730501
\(344\) −1.33763e6 2.19293e6i −0.609452 0.999143i
\(345\) −2.06145e6 −0.932450
\(346\) 2.74998e6 + 3.44836e6i 1.23492 + 1.54854i
\(347\) 3.81732e6 + 575369.i 1.70191 + 0.256521i 0.926866 0.375392i \(-0.122492\pi\)
0.775039 + 0.631913i \(0.217730\pi\)
\(348\) −323185. + 1.41597e6i −0.143055 + 0.626765i
\(349\) 3.36398e6 + 2.29352e6i 1.47839 + 1.00795i 0.990867 + 0.134842i \(0.0430528\pi\)
0.487526 + 0.873109i \(0.337900\pi\)
\(350\) 1.90553e6 + 3.30047e6i 0.831468 + 1.44014i
\(351\) 1.23691e6 2.14239e6i 0.535884 0.928178i
\(352\) −1.70617e6 + 821647.i −0.733947 + 0.353450i
\(353\) −1.94483e6 599902.i −0.830703 0.256238i −0.149897 0.988702i \(-0.547894\pi\)
−0.680806 + 0.732464i \(0.738370\pi\)
\(354\) 155047. + 2.06895e6i 0.0657588 + 0.877490i
\(355\) −654519. 2.86763e6i −0.275646 1.20768i
\(356\) 2.38449e6 6.07559e6i 0.997174 2.54076i
\(357\) 79680.8 1.06327e6i 0.0330890 0.441542i
\(358\) −1.44412e6 + 217666.i −0.595519 + 0.0897601i
\(359\) −1.35346e6 1.25583e6i −0.554255 0.514273i 0.352567 0.935786i \(-0.385309\pi\)
−0.906822 + 0.421513i \(0.861499\pi\)
\(360\) −1.82876e6 880687.i −0.743706 0.358150i
\(361\) 3.48083e6 2.37319e6i 1.40577 0.958440i
\(362\) −2.49439e6 6.35561e6i −1.00045 2.54909i
\(363\) 541.999 167.185i 0.000215890 6.65932e-5i
\(364\) −1.83650e6 + 1.70402e6i −0.726501 + 0.674095i
\(365\) −2.09059e6 + 2.62152e6i −0.821368 + 1.02996i
\(366\) 3.10999e6 3.89980e6i 1.21355 1.52174i
\(367\) −58086.0 + 53896.0i −0.0225116 + 0.0208877i −0.691348 0.722522i \(-0.742983\pi\)
0.668837 + 0.743409i \(0.266793\pi\)
\(368\) 226527. 69874.3i 0.0871967 0.0268966i
\(369\) −478111. 1.21821e6i −0.182794 0.465752i
\(370\) −202924. + 138351.i −0.0770599 + 0.0525386i
\(371\) 565373. + 272269.i 0.213255 + 0.102698i
\(372\) 32348.6 + 30015.1i 0.0121199 + 0.0112456i
\(373\) 375788. 56640.9i 0.139853 0.0210794i −0.0787428 0.996895i \(-0.525091\pi\)
0.218595 + 0.975816i \(0.429852\pi\)
\(374\) −317151. + 4.23209e6i −0.117243 + 1.56450i
\(375\) −3.40096e6 + 8.66551e6i −1.24889 + 3.18212i
\(376\) 198980. + 871790.i 0.0725840 + 0.318011i
\(377\) 96600.9 + 1.28905e6i 0.0350048 + 0.467107i
\(378\) 1.27058e6 + 391921.i 0.457373 + 0.141081i
\(379\) −2.93364e6 + 1.41277e6i −1.04908 + 0.505211i −0.877309 0.479925i \(-0.840664\pi\)
−0.171773 + 0.985137i \(0.554949\pi\)
\(380\) −7.45457e6 + 1.29117e7i −2.64828 + 4.58695i
\(381\) 65124.2 + 112798.i 0.0229842 + 0.0398098i
\(382\) 3.55281e6 + 2.42226e6i 1.24570 + 0.849303i
\(383\) 537478. 2.35485e6i 0.187225 0.820287i −0.790846 0.612015i \(-0.790359\pi\)
0.978071 0.208271i \(-0.0667837\pi\)
\(384\) −5.85989e6 883237.i −2.02797 0.305667i
\(385\) −1.35407e6 1.69795e6i −0.465573 0.583811i
\(386\) 730892. 0.249681
\(387\) 219475. 1.08117e6i 0.0744916 0.366957i
\(388\) −1.72999e6 −0.583395
\(389\) 1.19218e6 + 1.49494e6i 0.399453 + 0.500899i 0.940359 0.340185i \(-0.110490\pi\)
−0.540905 + 0.841084i \(0.681918\pi\)
\(390\) −1.57819e7 2.37874e6i −5.25409 0.791927i
\(391\) −270634. + 1.18573e6i −0.0895243 + 0.392232i
\(392\) 2.47970e6 + 1.69063e6i 0.815049 + 0.555691i
\(393\) 220801. + 382438.i 0.0721140 + 0.124905i
\(394\) −132208. + 228991.i −0.0429060 + 0.0743154i
\(395\) 2.22300e6 1.07054e6i 0.716880 0.345231i
\(396\) 1.91044e6 + 589294.i 0.612204 + 0.188840i
\(397\) −367816. 4.90816e6i −0.117126 1.56294i −0.678014 0.735049i \(-0.737159\pi\)
0.560887 0.827892i \(-0.310460\pi\)
\(398\) −1.26330e6 5.53488e6i −0.399759 1.75146i
\(399\) −887390. + 2.26103e6i −0.279050 + 0.711009i
\(400\) 131677. 1.75711e6i 0.0411491 0.549096i
\(401\) −1.87178e6 + 282126.i −0.581292 + 0.0876156i −0.433104 0.901344i \(-0.642582\pi\)
−0.148187 + 0.988959i \(0.547344\pi\)
\(402\) 1.88885e6 + 1.75259e6i 0.582950 + 0.540899i
\(403\) 35386.4 + 17041.2i 0.0108536 + 0.00522681i
\(404\) 2.41236e6 1.64472e6i 0.735342 0.501348i
\(405\) 2.80366e6 + 7.14361e6i 0.849353 + 2.16412i
\(406\) −663923. + 204793.i −0.199895 + 0.0616595i
\(407\) 73678.9 68364.0i 0.0220474 0.0204570i
\(408\) −2.74068e6 + 3.43670e6i −0.815094 + 1.02210i
\(409\) 2.49940e6 3.13415e6i 0.738800 0.926426i −0.260436 0.965491i \(-0.583866\pi\)
0.999237 + 0.0390647i \(0.0124378\pi\)
\(410\) 1.03399e7 9.59403e6i 3.03779 2.81865i
\(411\) 3.65020e6 1.12594e6i 1.06589 0.328783i
\(412\) 3.28950e6 + 8.38152e6i 0.954745 + 2.43265i
\(413\) −517547. + 352858.i −0.149305 + 0.101795i
\(414\) 817931. + 393895.i 0.234540 + 0.112948i
\(415\) −4.87307e6 4.52155e6i −1.38894 1.28875i
\(416\) −4.15469e6 + 626218.i −1.17708 + 0.177416i
\(417\) 233044. 3.10976e6i 0.0656293 0.875763i
\(418\) 3.53206e6 8.99953e6i 0.988751 2.51930i
\(419\) 212450. + 930806.i 0.0591184 + 0.259014i 0.995847 0.0910417i \(-0.0290196\pi\)
−0.936729 + 0.350056i \(0.886163\pi\)
\(420\) −404581. 5.39876e6i −0.111913 1.49338i
\(421\) 3.44865e6 + 1.06377e6i 0.948296 + 0.292511i 0.730058 0.683385i \(-0.239493\pi\)
0.218238 + 0.975896i \(0.429969\pi\)
\(422\) 8.91592e6 4.29368e6i 2.43717 1.17368i
\(423\) −192026. + 332598.i −0.0521805 + 0.0903793i
\(424\) −1.29350e6 2.24040e6i −0.349422 0.605217i
\(425\) 7.46924e6 + 5.09244e6i 2.00588 + 1.36758i
\(426\) −1.05803e6 + 4.63553e6i −0.282471 + 1.23759i
\(427\) 1.48912e6 + 224449.i 0.395239 + 0.0595727i
\(428\) −6.59353e6 8.26802e6i −1.73984 2.18169i
\(429\) 6.53158e6 1.71346
\(430\) 1.17119e7 2.05534e6i 3.05461 0.536059i
\(431\) −4.88285e6 −1.26614 −0.633068 0.774096i \(-0.718205\pi\)
−0.633068 + 0.774096i \(0.718205\pi\)
\(432\) −383297. 480639.i −0.0988156 0.123911i
\(433\) −769502. 115984.i −0.197238 0.0297288i 0.0496804 0.998765i \(-0.484180\pi\)
−0.246918 + 0.969036i \(0.579418\pi\)
\(434\) −4697.48 + 20581.0i −0.00119713 + 0.00524497i
\(435\) −2.30805e6 1.57360e6i −0.584821 0.398724i
\(436\) −4.94394e6 8.56315e6i −1.24554 2.15733i
\(437\) 1.38529e6 2.39939e6i 0.347006 0.601031i
\(438\) 4.88344e6 2.35174e6i 1.21630 0.585739i
\(439\) −281337. 86781.0i −0.0696732 0.0214913i 0.259723 0.965683i \(-0.416369\pi\)
−0.329396 + 0.944192i \(0.606845\pi\)
\(440\) 669078. + 8.92822e6i 0.164757 + 2.19853i
\(441\) 286823. + 1.25665e6i 0.0702292 + 0.307694i
\(442\) −3.44013e6 + 8.76530e6i −0.837565 + 2.13408i
\(443\) −310064. + 4.13752e6i −0.0750658 + 1.00168i 0.824774 + 0.565463i \(0.191302\pi\)
−0.899840 + 0.436221i \(0.856317\pi\)
\(444\) 247759. 37343.7i 0.0596447 0.00898999i
\(445\) 9.20222e6 + 8.53841e6i 2.20289 + 2.04398i
\(446\) 2.71444e6 + 1.30720e6i 0.646163 + 0.311176i
\(447\) −652457. + 444838.i −0.154448 + 0.105301i
\(448\) −958004. 2.44095e6i −0.225513 0.574599i
\(449\) −4.87558e6 + 1.50392e6i −1.14133 + 0.352053i −0.807086 0.590434i \(-0.798957\pi\)
−0.334242 + 0.942487i \(0.608480\pi\)
\(450\) 4.94653e6 4.58971e6i 1.15151 1.06845i
\(451\) −3.59909e6 + 4.51311e6i −0.833203 + 1.04480i
\(452\) −8.67008e6 + 1.08719e7i −1.99608 + 2.50300i
\(453\) −5.94295e6 + 5.51425e6i −1.36068 + 1.26253i
\(454\) −1.48613e6 + 458410.i −0.338390 + 0.104379i
\(455\) −1.76041e6 4.48545e6i −0.398644 1.01573i
\(456\) 8.27355e6 5.64081e6i 1.86329 1.27037i
\(457\) −292522. 140871.i −0.0655191 0.0315524i 0.400837 0.916149i \(-0.368719\pi\)
−0.466356 + 0.884597i \(0.654434\pi\)
\(458\) −4.69881e6 4.35986e6i −1.04670 0.971199i
\(459\) 3.11877e6 470080.i 0.690959 0.104145i
\(460\) −461487. + 6.15811e6i −0.101687 + 1.35692i
\(461\) 622765. 1.58678e6i 0.136481 0.347748i −0.846251 0.532785i \(-0.821145\pi\)
0.982731 + 0.185038i \(0.0592407\pi\)
\(462\) 781191. + 3.42262e6i 0.170276 + 0.746026i
\(463\) −469879. 6.27011e6i −0.101867 1.35932i −0.780643 0.624977i \(-0.785108\pi\)
0.678776 0.734345i \(-0.262511\pi\)
\(464\) 306963. + 94685.7i 0.0661899 + 0.0204169i
\(465\) −76470.0 + 36826.0i −0.0164006 + 0.00789809i
\(466\) −3.65828e6 + 6.33632e6i −0.780390 + 1.35167i
\(467\) 2.68458e6 + 4.64982e6i 0.569618 + 0.986607i 0.996604 + 0.0823484i \(0.0262420\pi\)
−0.426986 + 0.904258i \(0.640425\pi\)
\(468\) 3.66506e6 + 2.49879e6i 0.773511 + 0.527371i
\(469\) −173106. + 758425.i −0.0363395 + 0.159214i
\(470\) −4.09321e6 616951.i −0.854710 0.128827i
\(471\) 1.63881e6 + 2.05500e6i 0.340390 + 0.426836i
\(472\) 2.58235e6 0.533531
\(473\) −4.61411e6 + 1.54610e6i −0.948276 + 0.317749i
\(474\) −3.98846e6 −0.815379
\(475\) −1.28398e7 1.61006e7i −2.61110 3.27422i
\(476\) −3.15842e6 476056.i −0.638930 0.0963032i
\(477\) 247239. 1.08322e6i 0.0497531 0.217983i
\(478\) 1.46237e6 + 997029.i 0.292744 + 0.199590i
\(479\) 1.46991e6 + 2.54596e6i 0.292719 + 0.507005i 0.974452 0.224597i \(-0.0721065\pi\)
−0.681732 + 0.731602i \(0.738773\pi\)
\(480\) 4.53985e6 7.86324e6i 0.899369 1.55775i
\(481\) 200920. 96757.9i 0.0395968 0.0190688i
\(482\) 7.67808e6 + 2.36837e6i 1.50534 + 0.464337i
\(483\) 75183.5 + 1.00325e6i 0.0146641 + 0.195679i
\(484\) −378.090 1656.52i −7.33639e−5 0.000321428i
\(485\) 1.21563e6 3.09737e6i 0.234664 0.597914i
\(486\) 457180. 6.10064e6i 0.0878004 1.17162i
\(487\) −360906. + 54397.8i −0.0689560 + 0.0103934i −0.183430 0.983033i \(-0.558720\pi\)
0.114474 + 0.993426i \(0.463482\pi\)
\(488\) −4.55106e6 4.22277e6i −0.865094 0.802690i
\(489\) −3.52161e6 1.69592e6i −0.665992 0.320725i
\(490\) −1.14789e7 + 7.82619e6i −2.15978 + 1.47252i
\(491\) −2.41368e6 6.14996e6i −0.451831 1.15125i −0.957478 0.288506i \(-0.906841\pi\)
0.505647 0.862741i \(-0.331254\pi\)
\(492\) −1.37507e7 + 4.24154e6i −2.56102 + 0.789970i
\(493\) −1.20813e6 + 1.12098e6i −0.223870 + 0.207721i
\(494\) 1.33741e7 1.67705e7i 2.46573 3.09193i
\(495\) −2.39751e6 + 3.00638e6i −0.439792 + 0.551482i
\(496\) 7154.81 6638.69i 0.00130585 0.00121165i
\(497\) −1.37173e6 + 423123.i −0.249102 + 0.0768379i
\(498\) 3.92593e6 + 1.00031e7i 0.709364 + 1.80743i
\(499\) 1.43407e6 977733.i 0.257822 0.175780i −0.427511 0.904010i \(-0.640609\pi\)
0.685332 + 0.728230i \(0.259657\pi\)
\(500\) 2.51248e7 + 1.20995e7i 4.49447 + 2.16442i
\(501\) 1.97642e6 + 1.83385e6i 0.351791 + 0.326414i
\(502\) −4.74014e6 + 714462.i −0.839522 + 0.126538i
\(503\) −566672. + 7.56171e6i −0.0998646 + 1.33260i 0.691997 + 0.721900i \(0.256731\pi\)
−0.791862 + 0.610700i \(0.790888\pi\)
\(504\) −361910. + 922131.i −0.0634635 + 0.161702i
\(505\) 1.24959e6 + 5.47482e6i 0.218042 + 0.955304i
\(506\) −299251. 3.99323e6i −0.0519588 0.693342i
\(507\) 7.36393e6 + 2.27147e6i 1.27230 + 0.392453i
\(508\) 351538. 169292.i 0.0604384 0.0291056i
\(509\) 2.46447e6 4.26859e6i 0.421628 0.730281i −0.574471 0.818525i \(-0.694792\pi\)
0.996099 + 0.0882437i \(0.0281254\pi\)
\(510\) −1.01742e7 1.76222e7i −1.73211 3.00010i
\(511\) 1.35207e6 + 921827.i 0.229059 + 0.156170i
\(512\) −566171. + 2.48056e6i −0.0954493 + 0.418191i
\(513\) −7.10464e6 1.07085e6i −1.19192 0.179654i
\(514\) −1.85130e6 2.32146e6i −0.309079 0.387573i
\(515\) −1.73178e7 −2.87723
\(516\) −1.16749e7 3.29501e6i −1.93031 0.544793i
\(517\) 1.69404e6 0.278738
\(518\) 74732.7 + 93711.8i 0.0122373 + 0.0153451i
\(519\) 8.55779e6 + 1.28988e6i 1.39458 + 0.210199i
\(520\) −4.42035e6 + 1.93668e7i −0.716883 + 3.14087i
\(521\) −3.55961e6 2.42690e6i −0.574523 0.391703i 0.240916 0.970546i \(-0.422552\pi\)
−0.815439 + 0.578843i \(0.803505\pi\)
\(522\) 615098. + 1.06538e6i 0.0988025 + 0.171131i
\(523\) −4.25736e6 + 7.37397e6i −0.680592 + 1.17882i 0.294209 + 0.955741i \(0.404944\pi\)
−0.974801 + 0.223078i \(0.928390\pi\)
\(524\) 1.19188e6 573977.i 0.189628 0.0913201i
\(525\) 7.14578e6 + 2.20418e6i 1.13149 + 0.349019i
\(526\) −26159.1 349068.i −0.00412247 0.0550106i
\(527\) 11142.7 + 48819.4i 0.00174769 + 0.00765712i
\(528\) 592999. 1.51094e6i 0.0925697 0.235864i
\(529\) −395230. + 5.27398e6i −0.0614060 + 0.819406i
\(530\) 1.18418e7 1.78487e6i 1.83117 0.276005i
\(531\) 813017. + 754369.i 0.125131 + 0.116104i
\(532\) 6.55566e6 + 3.15704e6i 1.00424 + 0.483616i
\(533\) −1.05821e7 + 7.21477e6i −1.61345 + 1.10003i
\(534\) −7.41365e6 1.88897e7i −1.12507 2.86663i
\(535\) 1.94363e7 5.99529e6i 2.93581 0.905578i
\(536\) 2.35096e6 2.18137e6i 0.353454 0.327958i
\(537\) −1.78670e6 + 2.24045e6i −0.267372 + 0.335274i
\(538\) −871668. + 1.09304e6i −0.129836 + 0.162809i
\(539\) 4.16784e6 3.86719e6i 0.617929 0.573355i
\(540\) 1.53030e7 4.72036e6i 2.25836 0.696611i
\(541\) −4.20594e6 1.07166e7i −0.617832 1.57421i −0.805899 0.592053i \(-0.798317\pi\)
0.188067 0.982156i \(-0.439778\pi\)
\(542\) 2.96273e6 2.01995e6i 0.433205 0.295354i
\(543\) −1.20703e7 5.81273e6i −1.75678 0.846020i
\(544\) −3.92685e6 3.64359e6i −0.568915 0.527876i
\(545\) 1.88055e7 2.83447e6i 2.71203 0.408772i
\(546\) −582085. + 7.76739e6i −0.0835612 + 1.11505i
\(547\) 2.51462e6 6.40715e6i 0.359339 0.915580i −0.630858 0.775898i \(-0.717297\pi\)
0.990196 0.139681i \(-0.0446079\pi\)
\(548\) −2.54632e6 1.11562e7i −0.362211 1.58695i
\(549\) −199262. 2.65896e6i −0.0282158 0.376514i
\(550\) −2.84421e7 8.77324e6i −4.00918 1.23667i
\(551\) 3.38257e6 1.62896e6i 0.474644 0.228576i
\(552\) 2.07380e6 3.59193e6i 0.289681 0.501742i
\(553\) −602079. 1.04283e6i −0.0837222 0.145011i
\(554\) 1.58356e7 + 1.07965e7i 2.19209 + 1.49454i
\(555\) −107235. + 469829.i −0.0147777 + 0.0647452i
\(556\) −9.23750e6 1.39233e6i −1.26727 0.191010i
\(557\) 4.28571e6 + 5.37411e6i 0.585308 + 0.733953i 0.983008 0.183562i \(-0.0587629\pi\)
−0.397700 + 0.917516i \(0.630191\pi\)
\(558\) 37377.9 0.00508194
\(559\) −1.07938e7 + 260429.i −1.46098 + 0.0352500i
\(560\) −1.19744e6 −0.161355
\(561\) 5.19207e6 + 6.51065e6i 0.696520 + 0.873409i
\(562\) 1.02991e6 + 155233.i 0.137549 + 0.0207322i
\(563\) −2.34240e6 + 1.02627e7i −0.311451 + 1.36456i 0.540680 + 0.841228i \(0.318167\pi\)
−0.852131 + 0.523328i \(0.824690\pi\)
\(564\) 3.48921e6 + 2.37890e6i 0.461880 + 0.314905i
\(565\) −1.33729e7 2.31625e7i −1.76239 3.05256i
\(566\) −7.49280e6 + 1.29779e7i −0.983113 + 1.70280i
\(567\) 3.37435e6 1.62500e6i 0.440791 0.212274i
\(568\) 5.65508e6 + 1.74436e6i 0.735475 + 0.226864i
\(569\) 100626. + 1.34276e6i 0.0130296 + 0.173867i 0.999922 + 0.0124881i \(0.00397518\pi\)
−0.986892 + 0.161379i \(0.948406\pi\)
\(570\) 1.03148e7 + 4.51919e7i 1.32976 + 5.82605i
\(571\) −4.01678e6 + 1.02346e7i −0.515571 + 1.31365i 0.401840 + 0.915710i \(0.368371\pi\)
−0.917410 + 0.397942i \(0.869724\pi\)
\(572\) 1.46219e6 1.95116e7i 0.186859 2.49346i
\(573\) 8.34312e6 1.25752e6i 1.06155 0.160003i
\(574\) −5.04627e6 4.68225e6i −0.639279 0.593165i
\(575\) −7.68510e6 3.70095e6i −0.969348 0.466813i
\(576\) −3.83614e6 + 2.61544e6i −0.481769 + 0.328464i
\(577\) 2.19045e6 + 5.58117e6i 0.273901 + 0.697888i 0.999948 + 0.0102425i \(0.00326035\pi\)
−0.726047 + 0.687645i \(0.758644\pi\)
\(578\) 1.16488e6 359318.i 0.145031 0.0447363i
\(579\) 1.05130e6 975468.i 0.130326 0.120925i
\(580\) −5.21747e6 + 6.54250e6i −0.644006 + 0.807558i
\(581\) −2.02279e6 + 2.53650e6i −0.248606 + 0.311742i
\(582\) −3.94287e6 + 3.65845e6i −0.482509 + 0.447703i
\(583\) −4.68319e6 + 1.44457e6i −0.570651 + 0.176023i
\(584\) −2.46469e6 6.27994e6i −0.299041 0.761944i
\(585\) −7.04922e6 + 4.80608e6i −0.851631 + 0.580632i
\(586\) 5.55534e6 + 2.67531e6i 0.668292 + 0.321833i
\(587\) 4.90667e6 + 4.55273e6i 0.587749 + 0.545351i 0.916998 0.398892i \(-0.130605\pi\)
−0.329249 + 0.944243i \(0.606796\pi\)
\(588\) 1.40151e7 2.11244e6i 1.67168 0.251966i
\(589\) 8524.58 113753.i 0.00101248 0.0135106i
\(590\) −4.36732e6 + 1.11278e7i −0.516518 + 1.31607i
\(591\) 115452. + 505826.i 0.0135966 + 0.0595707i
\(592\) −4141.38 55262.9i −0.000485670 0.00648081i
\(593\) 1.18401e7 + 3.65218e6i 1.38267 + 0.426496i 0.894818 0.446431i \(-0.147305\pi\)
0.487850 + 0.872928i \(0.337781\pi\)
\(594\) −9.35620e6 + 4.50571e6i −1.08801 + 0.523959i
\(595\) 3.07170e6 5.32034e6i 0.355702 0.616094i
\(596\) 1.18279e6 + 2.04865e6i 0.136393 + 0.236239i
\(597\) −9.20410e6 6.27525e6i −1.05693 0.720601i
\(598\) 1.97704e6 8.66198e6i 0.226080 0.990522i
\(599\) 1.65653e7 + 2.49681e6i 1.88639 + 0.284328i 0.987951 0.154770i \(-0.0494635\pi\)
0.898440 + 0.439097i \(0.144702\pi\)
\(600\) −1.92214e7 2.41029e7i −2.17975 2.73332i
\(601\) 1.11251e7 1.25637 0.628187 0.778062i \(-0.283797\pi\)
0.628187 + 0.778062i \(0.283797\pi\)
\(602\) −1.42743e6 5.62491e6i −0.160532 0.632593i
\(603\) 1.37740e6 0.154265
\(604\) 1.51421e7 + 1.89876e7i 1.68886 + 2.11777i
\(605\) 3231.52 + 487.074i 0.000358937 + 5.41011e-5i
\(606\) 2.01997e6 8.85005e6i 0.223441 0.978958i
\(607\) −5.55657e6 3.78840e6i −0.612118 0.417335i 0.217188 0.976130i \(-0.430311\pi\)
−0.829306 + 0.558795i \(0.811264\pi\)
\(608\) 6.10151e6 + 1.05681e7i 0.669389 + 1.15942i
\(609\) −681654. + 1.18066e6i −0.0744768 + 0.128998i
\(610\) 2.58934e7 1.24696e7i 2.81751 1.35684i
\(611\) 3.59162e6 + 1.10787e6i 0.389213 + 0.120056i
\(612\) 422634. + 5.63966e6i 0.0456127 + 0.608659i
\(613\) 1.40533e6 + 6.15717e6i 0.151053 + 0.661805i 0.992580 + 0.121591i \(0.0387996\pi\)
−0.841528 + 0.540214i \(0.818343\pi\)
\(614\) −4.06246e6 + 1.03510e7i −0.434878 + 1.10805i
\(615\) 2.06832e6 2.75998e7i 0.220511 2.94251i
\(616\) 4.32073e6 651245.i 0.458780 0.0691500i
\(617\) 4.07726e6 + 3.78315e6i 0.431177 + 0.400074i 0.865681 0.500596i \(-0.166886\pi\)
−0.434504 + 0.900670i \(0.643076\pi\)
\(618\) 2.52219e7 + 1.21462e7i 2.65648 + 1.27929i
\(619\) −3.90449e6 + 2.66204e6i −0.409579 + 0.279246i −0.750532 0.660834i \(-0.770203\pi\)
0.340953 + 0.940080i \(0.389250\pi\)
\(620\) 92890.1 + 236680.i 0.00970488 + 0.0247276i
\(621\) −2.84377e6 + 877187.i −0.295914 + 0.0912774i
\(622\) 5.89672e6 5.47136e6i 0.611131 0.567047i
\(623\) 3.81980e6 4.78988e6i 0.394295 0.494430i
\(624\) 2.24538e6 2.81561e6i 0.230849 0.289475i
\(625\) −2.10773e7 + 1.95569e7i −2.15832 + 2.00263i
\(626\) −1.32337e7 + 4.08205e6i −1.34973 + 0.416335i
\(627\) −6.93055e6 1.76588e7i −0.704043 1.79387i
\(628\) 6.50572e6 4.43552e6i 0.658258 0.448793i
\(629\) 256163. + 123362.i 0.0258160 + 0.0124323i
\(630\) −3.36154e6 3.11905e6i −0.337433 0.313092i
\(631\) −389776. + 58749.3i −0.0389710 + 0.00587393i −0.168499 0.985702i \(-0.553892\pi\)
0.129528 + 0.991576i \(0.458654\pi\)
\(632\) −370979. + 4.95037e6i −0.0369451 + 0.492998i
\(633\) 7.09406e6 1.80754e7i 0.703697 1.79299i
\(634\) 5.21516e6 + 2.28491e7i 0.515282 + 2.25760i
\(635\) 56081.3 + 748353.i 0.00551930 + 0.0736499i
\(636\) −1.16746e7 3.60113e6i −1.14445 0.353017i
\(637\) 1.13655e7 5.47336e6i 1.10979 0.534448i
\(638\) 2.71317e6 4.69935e6i 0.263891 0.457073i
\(639\) 1.27085e6 + 2.20118e6i 0.123124 + 0.213257i
\(640\) −2.82113e7 1.92342e7i −2.72254 1.85619i
\(641\) −1.63564e6 + 7.16619e6i −0.157232 + 0.688880i 0.833440 + 0.552611i \(0.186368\pi\)
−0.990672 + 0.136269i \(0.956489\pi\)
\(642\) −3.25122e7 4.90043e6i −3.11321 0.469241i
\(643\) −1.13309e6 1.42085e6i −0.108078 0.135525i 0.724850 0.688906i \(-0.241909\pi\)
−0.832928 + 0.553381i \(0.813337\pi\)
\(644\) 3.01382e6 0.286354
\(645\) 1.41031e7 1.85874e7i 1.33480 1.75921i
\(646\) 2.73481e7 2.57837
\(647\) 3.25339e6 + 4.07962e6i 0.305545 + 0.383141i 0.910771 0.412913i \(-0.135489\pi\)
−0.605226 + 0.796054i \(0.706917\pi\)
\(648\) −1.52677e7 2.30123e6i −1.42835 0.215290i
\(649\) 1.08860e6 4.76947e6i 0.101451 0.444486i
\(650\) −5.45643e7 3.72013e7i −5.06554 3.45362i
\(651\) 20711.2 + 35872.8i 0.00191537 + 0.00331752i
\(652\) −5.85452e6 + 1.01403e7i −0.539352 + 0.934186i
\(653\) 1.02506e6 493643.i 0.0940733 0.0453033i −0.386255 0.922392i \(-0.626232\pi\)
0.480329 + 0.877089i \(0.340517\pi\)
\(654\) −2.93767e7 9.06150e6i −2.68570 0.828430i
\(655\) 190141. + 2.53726e6i 0.0173170 + 0.231080i
\(656\) 708232. + 3.10297e6i 0.0642563 + 0.281525i
\(657\) 1.05855e6 2.69715e6i 0.0956752 0.243777i
\(658\) −150970. + 2.01456e6i −0.0135933 + 0.181390i
\(659\) −1.76623e7 + 2.66217e6i −1.58429 + 0.238793i −0.881352 0.472460i \(-0.843366\pi\)
−0.702936 + 0.711253i \(0.748128\pi\)
\(660\) 3.09954e7 + 2.87596e7i 2.76973 + 2.56994i
\(661\) 8.97793e6 + 4.32354e6i 0.799231 + 0.384889i 0.788486 0.615053i \(-0.210865\pi\)
0.0107453 + 0.999942i \(0.496580\pi\)
\(662\) 1.09973e7 7.49781e6i 0.975304 0.664951i
\(663\) 6.75017e6 + 1.71991e7i 0.596391 + 1.51958i
\(664\) 1.27807e7 3.94234e6i 1.12496 0.347003i
\(665\) −1.02589e7 + 9.51888e6i −0.899595 + 0.834703i
\(666\) 132322. 165926.i 0.0115597 0.0144954i
\(667\) 969566. 1.21580e6i 0.0843845 0.105815i
\(668\) 5.92064e6 5.49355e6i 0.513367 0.476335i
\(669\) 5.64903e6 1.74249e6i 0.487987 0.150524i
\(670\) 5.42389e6 + 1.38198e7i 0.466792 + 1.18937i
\(671\) −9.71777e6 + 6.62546e6i −0.833221 + 0.568080i
\(672\) −3.99241e6 1.92264e6i −0.341045 0.164239i
\(673\) 370073. + 343378.i 0.0314956 + 0.0292237i 0.695764 0.718271i \(-0.255066\pi\)
−0.664268 + 0.747495i \(0.731257\pi\)
\(674\) 4.01971e6 605874.i 0.340836 0.0513727i
\(675\) −1.65305e6 + 2.20584e7i −0.139645 + 1.86343i
\(676\) 8.43401e6 2.14895e7i 0.709851 1.80867i
\(677\) −2.30359e6 1.00927e7i −0.193167 0.846321i −0.974889 0.222693i \(-0.928515\pi\)
0.781721 0.623628i \(-0.214342\pi\)
\(678\) 3.23091e6 + 4.31135e7i 0.269930 + 3.60196i
\(679\) −1.55174e6 478650.i −0.129165 0.0398422i
\(680\) −2.28186e7 + 1.09889e7i −1.89242 + 0.911339i
\(681\) −1.52582e6 + 2.64280e6i −0.126077 + 0.218372i
\(682\) −82436.1 142784.i −0.00678667 0.0117549i
\(683\) 3.05786e6 + 2.08481e6i 0.250822 + 0.171007i 0.682204 0.731162i \(-0.261022\pi\)
−0.431382 + 0.902169i \(0.641974\pi\)
\(684\) 2.86680e6 1.25603e7i 0.234292 1.02650i
\(685\) 2.17633e7 + 3.28029e6i 1.77214 + 0.267107i
\(686\) 9.24297e6 + 1.15903e7i 0.749896 + 0.940340i
\(687\) −1.25775e7 −1.01672
\(688\) −919716. + 2.52054e6i −0.0740769 + 0.203013i
\(689\) −1.08738e7 −0.872640
\(690\) 1.19710e7 + 1.50111e7i 0.957207 + 1.20030i
\(691\) −9.16937e6 1.38206e6i −0.730541 0.110111i −0.226770 0.973948i \(-0.572816\pi\)
−0.503771 + 0.863837i \(0.668055\pi\)
\(692\) 5.76900e6 2.52757e7i 0.457968 2.00649i
\(693\) 1.55057e6 + 1.05716e6i 0.122647 + 0.0836193i
\(694\) −1.79777e7 3.11382e7i −1.41688 2.45412i
\(695\) 8.98386e6 1.55605e7i 0.705506 1.22197i
\(696\) 5.06377e6 2.43859e6i 0.396234 0.190816i
\(697\) −1.56036e7 4.81307e6i −1.21659 0.375267i
\(698\) −2.83380e6 3.78144e7i −0.220156 2.93778i
\(699\) 3.19461e6 + 1.39965e7i 0.247300 + 1.08349i
\(700\) 8.18416e6 2.08529e7i 0.631290 1.60850i
\(701\) −835070. + 1.11432e7i −0.0641841 + 0.856478i 0.868478 + 0.495727i \(0.165098\pi\)
−0.932662 + 0.360751i \(0.882521\pi\)
\(702\) −2.27833e7 + 3.43403e6i −1.74491 + 0.263003i
\(703\) −474787. 440538.i −0.0362335 0.0336198i
\(704\) 1.84515e7 + 8.88578e6i 1.40314 + 0.675715i
\(705\) −6.71100e6 + 4.57548e6i −0.508528 + 0.346708i
\(706\) 6.92537e6 + 1.76456e7i 0.522915 + 1.33237i
\(707\) 2.61888e6 807816.i 0.197045 0.0607805i
\(708\) 8.93988e6 8.29499e6i 0.670268 0.621918i
\(709\) −1.30016e6 + 1.63035e6i −0.0971365 + 0.121805i −0.828024 0.560693i \(-0.810535\pi\)
0.730888 + 0.682498i \(0.239106\pi\)
\(710\) −1.70807e7 + 2.14186e7i −1.27163 + 1.59457i
\(711\) −1.56293e6 + 1.45018e6i −0.115948 + 0.107584i
\(712\) −2.41349e7 + 7.44463e6i −1.78421 + 0.550355i
\(713\) −17261.8 43982.4i −0.00127164 0.00324008i
\(714\) −8.20521e6 + 5.59422e6i −0.602344 + 0.410671i
\(715\) 3.39061e7 + 1.63283e7i 2.48035 + 1.19447i
\(716\) 6.29284e6 + 5.83890e6i 0.458737 + 0.425646i
\(717\) 3.43412e6 517610.i 0.249469 0.0376014i
\(718\) −1.28509e6 + 1.71483e7i −0.0930297 + 1.24139i
\(719\) −529620. + 1.34945e6i −0.0382069 + 0.0973497i −0.948704 0.316166i \(-0.897604\pi\)
0.910497 + 0.413516i \(0.135699\pi\)
\(720\) 471784. + 2.06702e6i 0.0339166 + 0.148598i
\(721\) 631599. + 8.42810e6i 0.0452484 + 0.603798i
\(722\) −3.74945e7 1.15655e7i −2.67685 0.825700i
\(723\) 1.42049e7 6.84073e6i 1.01063 0.486695i
\(724\) −2.00663e7 + 3.47558e7i −1.42272 + 2.46423i
\(725\) −5.77932e6 1.00101e7i −0.408349 0.707281i
\(726\) −4364.82 2975.88i −0.000307344 0.000209544i
\(727\) 5.03691e6 2.20681e7i 0.353450 1.54857i −0.415703 0.909500i \(-0.636464\pi\)
0.769153 0.639065i \(-0.220678\pi\)
\(728\) 9.58653e6 + 1.44494e6i 0.670398 + 0.101046i
\(729\) 3.55748e6 + 4.46094e6i 0.247927 + 0.310891i
\(730\) 3.12296e7 2.16900
\(731\) −8.83976e6 1.05522e7i −0.611853 0.730379i
\(732\) −2.93197e7 −2.02247
\(733\) −5.83946e6 7.32245e6i −0.401433 0.503381i 0.539495 0.841989i \(-0.318615\pi\)
−0.940927 + 0.338608i \(0.890044\pi\)
\(734\) 729768. + 109995.i 0.0499971 + 0.00753585i
\(735\) −6.06605e6 + 2.65771e7i −0.414179 + 1.81464i
\(736\) 4.17623e6 + 2.84730e6i 0.284177 + 0.193749i
\(737\) −3.03783e6 5.26167e6i −0.206013 0.356825i
\(738\) −6.09433e6 + 1.05557e7i −0.411894 + 0.713421i
\(739\) −6.99444e6 + 3.36834e6i −0.471131 + 0.226885i −0.654357 0.756186i \(-0.727060\pi\)
0.183226 + 0.983071i \(0.441346\pi\)
\(740\) 1.37950e6 + 425519.i 0.0926067 + 0.0285654i
\(741\) −3.14535e6 4.19718e7i −0.210438 2.80810i
\(742\) −1.30053e6 5.69802e6i −0.0867186 0.379939i
\(743\) 6.71616e6 1.71125e7i 0.446323 1.13721i −0.513869 0.857869i \(-0.671788\pi\)
0.960191 0.279343i \(-0.0901167\pi\)
\(744\) 12761.5 170290.i 0.000845217 0.0112786i
\(745\) −4.49903e6 + 678119.i −0.296981 + 0.0447626i
\(746\) −2.59467e6 2.40750e6i −0.170700 0.158387i
\(747\) 5.17550e6 + 2.49239e6i 0.339352 + 0.163423i
\(748\) 2.06114e7 1.40526e7i 1.34696 0.918339i
\(749\) −3.62661e6 9.24045e6i −0.236209 0.601851i
\(750\) 8.28501e7 2.55559e7i 5.37824 1.65897i
\(751\) 1.52594e7 1.41586e7i 0.987273 0.916056i −0.00920058 0.999958i \(-0.502929\pi\)
0.996474 + 0.0839018i \(0.0267382\pi\)
\(752\) 582363. 730260.i 0.0375534 0.0470904i
\(753\) −5.86461e6 + 7.35399e6i −0.376922 + 0.472646i
\(754\) 8.82564e6 8.18900e6i 0.565351