Properties

Label 43.6.g.a.24.2
Level 43
Weight 6
Character 43.24
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 24.2
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.2

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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 −0.0694229 + 0.997587i \(0.522116\pi\)
−0.957128 + 0.289666i \(0.906456\pi\)
\(3\) −18.0713 + 2.72380i −1.15927 + 0.174732i −0.700387 0.713764i \(-0.746989\pi\)
−0.458885 + 0.888496i \(0.651751\pi\)
\(4\) −12.1822 53.3739i −0.380695 1.66793i
\(5\) −87.0006 + 59.3160i −1.55631 + 1.06108i −0.588794 + 0.808283i \(0.700397\pi\)
−0.967520 + 0.252794i \(0.918651\pi\)
\(6\) 85.1064 147.409i 0.965126 1.67165i
\(7\) −25.6945 44.5042i −0.198196 0.343286i 0.749747 0.661724i \(-0.230175\pi\)
−0.947944 + 0.318438i \(0.896842\pi\)
\(8\) 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 0.733014 + 0.680214i \(0.238113\pi\)
−0.955556 + 0.294808i \(0.904744\pi\)
\(12\) 365.528 + 931.351i 0.732771 + 1.86707i
\(13\) 66.5463 + 887.998i 0.109211 + 1.45732i 0.735394 + 0.677640i \(0.236997\pi\)
−0.626183 + 0.779676i \(0.715384\pi\)
\(14\) 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 0.888906 0.458090i \(-0.151466\pi\)
−0.101670 + 0.994818i \(0.532419\pi\)
\(18\) −309.610 + 788.874i −0.225234 + 0.573887i
\(19\) −2471.40 762.326i −1.57058 0.484459i −0.617344 0.786694i \(-0.711791\pi\)
−0.953234 + 0.302235i \(0.902267\pi\)
\(20\) 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 0.510075 0.860130i \(-0.329618\pi\)
−0.819607 + 0.572926i \(0.805808\pi\)
\(24\) −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 −0.0113569 0.999936i \(-0.503615\pi\)
−0.305589 + 0.952164i \(0.598853\pi\)
\(30\) 1339.38 + 17872.8i 0.271707 + 3.62568i
\(31\) −16.1137 41.0572i −0.00301157 0.00767334i 0.929360 0.369175i \(-0.120360\pi\)
−0.932372 + 0.361501i \(0.882264\pi\)
\(32\) −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 −0.858409 0.512966i \(-0.828547\pi\)
0.873446 + 0.486921i \(0.161880\pi\)
\(38\) 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 0.165168 + 0.986265i \(0.447183\pi\)
−0.998291 + 0.0584376i \(0.981388\pi\)
\(42\) −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 0.934405 0.356211i \(-0.115932\pi\)
−0.996424 + 0.0844881i \(0.973075\pi\)
\(48\) 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 0.929410 + 0.369049i \(0.120317\pi\)
−0.974033 + 0.226406i \(0.927302\pi\)
\(54\) −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 −0.217098 0.976150i \(-0.569659\pi\)
0.627826 + 0.778354i \(0.283945\pi\)
\(60\) −87045.2 59346.4i −3.12153 2.12822i
\(61\) −10706.2 + 27279.0i −0.368393 + 0.938650i 0.619707 + 0.784834i \(0.287252\pi\)
−0.988099 + 0.153816i \(0.950844\pi\)
\(62\) 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 0.485275 0.874362i \(-0.338719\pi\)
−0.0915923 + 0.995797i \(0.529196\pi\)
\(68\) 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 −0.401308 0.915943i \(-0.631444\pi\)
0.883392 + 0.468634i \(0.155254\pi\)
\(72\) 19061.3 + 2873.03i 0.433333 + 0.0653145i
\(73\) 2379.68 + 31754.7i 0.0522652 + 0.697430i 0.960377 + 0.278703i \(0.0899045\pi\)
−0.908112 + 0.418727i \(0.862476\pi\)
\(74\) 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 0.740883 0.671634i \(-0.234407\pi\)
−0.952094 + 0.305807i \(0.901074\pi\)
\(80\) 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 0.368515 0.929622i \(-0.379866\pi\)
0.626154 + 0.779700i \(0.284628\pi\)
\(84\) 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 −0.878666 0.477437i \(-0.841566\pi\)
−0.698902 + 0.715217i \(0.746328\pi\)
\(90\) −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 −0.922713 0.385489i \(-0.874033\pi\)
0.998593 + 0.0530366i \(0.0168900\pi\)
\(98\) 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 −0.847431 0.530905i \(-0.821852\pi\)
0.466092 + 0.884736i \(0.345662\pi\)
\(102\) 174110. 83847.0i 1.65700 0.797971i
\(103\) 135888. + 92646.9i 1.26208 + 0.860474i 0.994670 0.103108i \(-0.0328787\pi\)
0.267413 + 0.963582i \(0.413831\pi\)
\(104\) −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 −0.960930 0.276793i \(-0.910728\pi\)
−0.0560260 0.998429i \(-0.517843\pi\)
\(108\) −94825.7 118908.i −0.782288 0.980958i
\(109\) −132398. 122847.i −1.06737 0.990374i −0.0673966 0.997726i \(-0.521469\pi\)
−0.999973 + 0.00735204i \(0.997660\pi\)
\(110\) 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 0.689852 0.723950i \(-0.257676\pi\)
0.996123 0.0879726i \(-0.0280388\pi\)
\(114\) −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 −0.793905 0.608042i \(-0.791955\pi\)
0.769458 + 0.638698i \(0.220527\pi\)
\(128\) 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 −0.818703 0.574218i \(-0.805306\pi\)
0.741999 + 0.670401i \(0.233878\pi\)
\(132\) −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 −0.0469705 0.998896i \(-0.514957\pi\)
−0.810254 + 0.586079i \(0.800671\pi\)
\(138\) −174239. + 53745.8i −0.778841 + 0.240241i
\(139\) 12751.8 170161.i 0.0559802 0.747004i −0.896624 0.442792i \(-0.853988\pi\)
0.952604 0.304212i \(-0.0983931\pi\)
\(140\) 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 0.736449 0.676493i \(-0.236501\pi\)
−0.619567 + 0.784944i \(0.712692\pi\)
\(150\) −845027. 1.05963e6i −3.06650 3.84527i
\(151\) 276586. + 346828.i 0.987161 + 1.23786i 0.971268 + 0.237987i \(0.0764875\pi\)
0.0158925 + 0.999874i \(0.494941\pi\)
\(152\) −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 −0.832161 0.554534i \(-0.812896\pi\)
0.490796 + 0.871274i \(0.336706\pi\)
\(158\) 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 0.0215276 0.999768i \(-0.493147\pi\)
0.580976 + 0.813920i \(0.302671\pi\)
\(164\) 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 −0.720502 0.693453i \(-0.756089\pi\)
0.382288 + 0.924043i \(0.375136\pi\)
\(168\) 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 0.942864 0.333178i \(-0.108121\pi\)
−0.759973 + 0.649955i \(0.774788\pi\)
\(180\) 472578. + 227582.i 1.08716 + 0.523547i
\(181\) 700494. 216074.i 1.58931 0.490236i 0.630954 0.775821i \(-0.282664\pi\)
0.958354 + 0.285584i \(0.0921876\pi\)
\(182\) −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 −0.175467 0.984485i \(-0.556143\pi\)
−0.699558 + 0.714576i \(0.746620\pi\)
\(192\) 683596. + 634284.i 1.33828 + 1.24174i
\(193\) −48927.9 61353.7i −0.0945504 0.118562i 0.732306 0.680976i \(-0.238444\pi\)
−0.826856 + 0.562414i \(0.809873\pi\)
\(194\) 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 −0.940078 0.340959i \(-0.889248\pi\)
0.921037 + 0.389475i \(0.127344\pi\)
\(198\) −281026. 191600.i −0.509428 0.347322i
\(199\) 549186. 264474.i 0.983074 0.473424i 0.127913 0.991785i \(-0.459172\pi\)
0.855161 + 0.518362i \(0.173458\pi\)
\(200\) 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 −0.738743 0.673987i \(-0.764580\pi\)
0.373152 0.927770i \(-0.378277\pi\)
\(212\) 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 0.227240 0.973839i \(-0.427030\pi\)
−0.619696 + 0.784842i \(0.712744\pi\)
\(224\) 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 0.964764 0.263116i \(-0.0847501\pi\)
−0.886186 + 0.463329i \(0.846655\pi\)
\(228\) −193374. 2.58039e6i −0.246355 3.28737i
\(229\) 680533. + 102574.i 0.857551 + 0.129255i 0.563077 0.826404i \(-0.309617\pi\)
0.294474 + 0.955659i \(0.404855\pi\)
\(230\) −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 0.646503 + 0.762912i \(0.276231\pi\)
−0.992832 + 0.119520i \(0.961864\pi\)
\(234\) −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 0.190227 0.981740i \(-0.439078\pi\)
−0.395861 + 0.918310i \(0.629554\pi\)
\(240\) −155577. + 396405.i −0.174349 + 0.444233i
\(241\) −712801. 485980.i −0.790544 0.538984i 0.0994033 0.995047i \(-0.468307\pi\)
−0.889947 + 0.456064i \(0.849259\pi\)
\(242\) 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 0.965660 0.259810i \(-0.0836600\pi\)
−0.707832 + 0.706381i \(0.750327\pi\)
\(252\) −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 −0.549399 0.835560i \(-0.685143\pi\)
0.577083 + 0.816686i \(0.304191\pi\)
\(264\) 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 −0.987049 0.160422i \(-0.948714\pi\)
0.958905 + 0.283729i \(0.0915716\pi\)
\(270\) −995363. 2.53614e6i −0.830944 2.11721i
\(271\) −28771.1 383923.i −0.0237976 0.317557i −0.996381 0.0850016i \(-0.972910\pi\)
0.972583 0.232555i \(-0.0747086\pi\)
\(272\) −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 −0.595312 0.803495i \(-0.702971\pi\)
−0.944494 + 0.328528i \(0.893448\pi\)
\(278\) 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 0.648599 0.761130i \(-0.275355\pi\)
−0.710532 + 0.703665i \(0.751546\pi\)
\(282\) −686523. 211764.i −0.514082 0.158573i
\(283\) −587823. + 1.49775e6i −0.436295 + 1.11166i 0.528563 + 0.848894i \(0.322731\pi\)
−0.964859 + 0.262769i \(0.915364\pi\)
\(284\) −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 0.219784 0.975548i \(-0.429465\pi\)
−0.625681 + 0.780079i \(0.715179\pi\)
\(294\) −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 −0.988205 0.153136i \(-0.951063\pi\)
0.626722 + 0.779243i \(0.284396\pi\)
\(308\) −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 −0.945796 0.324761i \(-0.894716\pi\)
0.983635 0.180171i \(-0.0576650\pi\)
\(312\) 767196. 3.36130e6i 0.446190 1.95489i
\(313\) 543238. + 1.38415e6i 0.313422 + 0.798585i 0.997598 + 0.0692688i \(0.0220666\pi\)
−0.684176 + 0.729317i \(0.739838\pi\)
\(314\) −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 −0.942060 0.335445i \(-0.891113\pi\)
−0.325103 + 0.945679i \(0.605399\pi\)
\(318\) 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 −0.957719 0.287704i \(-0.907108\pi\)
0.904142 0.427232i \(-0.140511\pi\)
\(332\) −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 0.808931 0.587904i \(-0.200047\pi\)
−0.913605 + 0.406602i \(0.866713\pi\)
\(338\) 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 0.775039 0.631913i \(-0.217730\pi\)
0.926866 + 0.375392i \(0.122492\pi\)
\(348\) −323185. 1.41597e6i −0.143055 0.626765i
\(349\) 3.36398e6 2.29352e6i 1.47839 1.00795i 0.487526 0.873109i \(-0.337900\pi\)
0.990867 0.134842i \(-0.0430528\pi\)
\(350\) 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 −0.680806 0.732464i \(-0.738370\pi\)
−0.149897 + 0.988702i \(0.547894\pi\)
\(354\) 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 −0.906822 0.421513i \(-0.861499\pi\)
0.352567 + 0.935786i \(0.385309\pi\)
\(360\) −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 0.668837 0.743409i \(-0.266793\pi\)
−0.691348 + 0.722522i \(0.742983\pi\)
\(368\) 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 0.218595 0.975816i \(-0.429852\pi\)
−0.0787428 + 0.996895i \(0.525091\pi\)
\(374\) −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 −0.171773 0.985137i \(-0.554949\pi\)
−0.877309 + 0.479925i \(0.840664\pi\)
\(380\) −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 0.978071 + 0.208271i \(0.0667837\pi\)
−0.790846 + 0.612015i \(0.790359\pi\)
\(384\) −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 −0.540905 0.841084i \(-0.681918\pi\)
0.940359 + 0.340185i \(0.110490\pi\)
\(390\) −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 0.560887 + 0.827892i \(0.310460\pi\)
−0.678014 + 0.735049i \(0.737159\pi\)
\(398\) −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 −0.148187 0.988959i \(-0.547344\pi\)
−0.433104 + 0.901344i \(0.642582\pi\)
\(402\) 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 0.999237 0.0390647i \(-0.0124378\pi\)
−0.260436 + 0.965491i \(0.583866\pi\)
\(410\) 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 −0.936729 0.350056i \(-0.886163\pi\)
0.995847 + 0.0910417i \(0.0290196\pi\)
\(420\) −404581. + 5.39876e6i −0.111913 + 1.49338i
\(421\) 3.44865e6 1.06377e6i 0.948296 0.292511i 0.218238 0.975896i \(-0.429969\pi\)
0.730058 + 0.683385i \(0.239493\pi\)
\(422\) 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 −0.246918 0.969036i \(-0.579418\pi\)
0.0496804 + 0.998765i \(0.484180\pi\)
\(434\) −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 −0.329396 0.944192i \(-0.606845\pi\)
0.259723 + 0.965683i \(0.416369\pi\)
\(440\) 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 −0.899840 0.436221i \(-0.856317\pi\)
0.824774 0.565463i \(-0.191302\pi\)
\(444\) 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 −0.334242 0.942487i \(-0.608480\pi\)
−0.807086 + 0.590434i \(0.798957\pi\)
\(450\) 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 −0.466356 0.884597i \(-0.654434\pi\)
0.400837 + 0.916149i \(0.368719\pi\)
\(458\) −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 0.982731 0.185038i \(-0.0592407\pi\)
−0.846251 + 0.532785i \(0.821145\pi\)
\(462\) 781191. 3.42262e6i 0.170276 0.746026i
\(463\) −469879. + 6.27011e6i −0.101867 + 1.35932i 0.678776 + 0.734345i \(0.262511\pi\)
−0.780643 + 0.624977i \(0.785108\pi\)
\(464\) 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 −0.426986 0.904258i \(-0.640425\pi\)
0.996604 0.0823484i \(-0.0262420\pi\)
\(468\) 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 −0.681732 0.731602i \(-0.738773\pi\)
0.974452 + 0.224597i \(0.0721065\pi\)
\(480\) 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 0.114474 0.993426i \(-0.463482\pi\)
−0.183430 + 0.983033i \(0.558720\pi\)
\(488\) −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 0.505647 + 0.862741i \(0.331254\pi\)
−0.957478 + 0.288506i \(0.906841\pi\)
\(492\) −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 0.685332 0.728230i \(-0.259657\pi\)
−0.427511 + 0.904010i \(0.640609\pi\)
\(500\) 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 −0.791862 0.610700i \(-0.790888\pi\)
0.691997 0.721900i \(-0.256731\pi\)
\(504\) −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 0.996099 0.0882437i \(-0.0281254\pi\)
−0.574471 + 0.818525i \(0.694792\pi\)
\(510\) −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 −0.815439 0.578843i \(-0.803505\pi\)
0.240916 + 0.970546i \(0.422552\pi\)
\(522\) 615098. 1.06538e6i 0.0988025 0.171131i
\(523\) −4.25736e6 7.37397e6i −0.680592 1.17882i −0.974801 0.223078i \(-0.928390\pi\)
0.294209 0.955741i \(-0.404944\pi\)
\(524\) 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 0.188067 + 0.982156i \(0.439778\pi\)
−0.805899 + 0.592053i \(0.798317\pi\)
\(542\) 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 0.990196 + 0.139681i \(0.0446079\pi\)
−0.630858 + 0.775898i \(0.717297\pi\)
\(548\) −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 −0.397700 0.917516i \(-0.630191\pi\)
0.983008 + 0.183562i \(0.0587629\pi\)
\(558\) 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 −0.852131 0.523328i \(-0.824690\pi\)
0.540680 0.841228i \(-0.318167\pi\)
\(564\) 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 −0.986892 0.161379i \(-0.948406\pi\)
0.999922 0.0124881i \(-0.00397518\pi\)
\(570\) 1.03148e7 4.51919e7i 1.32976 5.82605i
\(571\) −4.01678e6 1.02346e7i −0.515571 1.31365i −0.917410 0.397942i \(-0.869724\pi\)
0.401840 0.915710i \(-0.368371\pi\)
\(572\) 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 −0.726047 0.687645i \(-0.758644\pi\)
0.999948 0.0102425i \(-0.00326035\pi\)
\(578\) 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 −0.329249 0.944243i \(-0.606796\pi\)
0.916998 + 0.398892i \(0.130605\pi\)
\(588\) 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 0.487850 0.872928i \(-0.337781\pi\)
0.894818 + 0.446431i \(0.147305\pi\)
\(594\) −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 0.898440 0.439097i \(-0.144702\pi\)
0.987951 + 0.154770i \(0.0494635\pi\)
\(600\) −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 −0.829306 0.558795i \(-0.811264\pi\)
0.217188 + 0.976130i \(0.430311\pi\)
\(608\) 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 −0.841528 0.540214i \(-0.818343\pi\)
0.992580 0.121591i \(-0.0387996\pi\)
\(614\) −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 −0.434504 0.900670i \(-0.643076\pi\)
0.865681 + 0.500596i \(0.166886\pi\)
\(618\) 2.52219e7 1.21462e7i 2.65648 1.27929i
\(619\) −3.90449e6 2.66204e6i −0.409579 0.279246i 0.340953 0.940080i \(-0.389250\pi\)
−0.750532 + 0.660834i \(0.770203\pi\)
\(620\) 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 0.129528 0.991576i \(-0.458654\pi\)
−0.168499 + 0.985702i \(0.553892\pi\)
\(632\) −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 −0.990672 0.136269i \(-0.956489\pi\)
0.833440 0.552611i \(-0.186368\pi\)
\(642\) −3.25122e7 + 4.90043e6i −3.11321 + 0.469241i
\(643\) −1.13309e6 + 1.42085e6i −0.108078 + 0.135525i −0.832928 0.553381i \(-0.813337\pi\)
0.724850 + 0.688906i \(0.241909\pi\)
\(644\) 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 −0.605226 0.796054i \(-0.706917\pi\)
0.910771 + 0.412913i \(0.135489\pi\)
\(648\) −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 0.480329 0.877089i \(-0.340517\pi\)
−0.386255 + 0.922392i \(0.626232\pi\)
\(654\) −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 −0.702936 0.711253i \(-0.748128\pi\)
−0.881352 + 0.472460i \(0.843366\pi\)
\(660\) 3.09954e7 2.87596e7i 2.76973 2.56994i
\(661\) 8.97793e6 4.32354e6i 0.799231 0.384889i 0.0107453 0.999942i \(-0.496580\pi\)
0.788486 + 0.615053i \(0.210865\pi\)
\(662\) 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 −0.664268 0.747495i \(-0.731257\pi\)
0.695764 + 0.718271i \(0.255066\pi\)
\(674\) 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 0.781721 + 0.623628i \(0.214342\pi\)
−0.974889 + 0.222693i \(0.928515\pi\)
\(678\) 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 −0.431382 0.902169i \(-0.641974\pi\)
0.682204 + 0.731162i \(0.261022\pi\)
\(684\) 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 −0.503771 0.863837i \(-0.668055\pi\)
−0.226770 + 0.973948i \(0.572816\pi\)
\(692\) 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 −0.932662 0.360751i \(-0.882521\pi\)
0.868478 0.495727i \(-0.165098\pi\)
\(702\) −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 0.730888 0.682498i \(-0.239106\pi\)
−0.828024 + 0.560693i \(0.810535\pi\)
\(710\) −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 0.910497 0.413516i \(-0.135699\pi\)
−0.948704 + 0.316166i \(0.897604\pi\)
\(720\) 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 0.769153 + 0.639065i \(0.220678\pi\)
−0.415703 + 0.909500i \(0.636464\pi\)
\(728\) 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 −0.940927 0.338608i \(-0.890044\pi\)
0.539495 + 0.841989i \(0.318615\pi\)
\(734\) 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 0.183226 0.983071i \(-0.441346\pi\)
−0.654357 + 0.756186i \(0.727060\pi\)
\(740\) 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 0.960191 + 0.279343i \(0.0901167\pi\)
−0.513869 + 0.857869i \(0.671788\pi\)
\(744\) 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 0.996474 0.0839018i \(-0.0267382\pi\)
−0.00920058 + 0.999958i \(0.502929\pi\)
\(752\) 582363. + 730260.i 0.0375534 + 0.0470904i
\(753\) −5.86461e6 7.35399e6i −0.376922 0.472646i
\(754\) 8.82564e6 + 8.18900e6i 0.565351 + 0.524569i
\(755\) −4.46356e7 1.37683e7i −2.84980