Properties

Label 11.5.d.a.6.2
Level 11
Weight 5
Character 11.6
Analytic conductor 1.137
Analytic rank 0
Dimension 12
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 11 \)
Weight: \( k \) = \( 5 \)
Character orbit: \([\chi]\) = 11.d (of order \(10\) and degree \(4\))

Newform invariants

Self dual: No
Analytic conductor: \(1.13706959392\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(3\) over \(\Q(\zeta_{10})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} + \cdots)\)
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 1 \)
Sato-Tate group: $\mathrm{SU}(2)[C_{10}]$

Embedding invariants

Embedding label 6.2
Root \(-2.38108i\)
Character \(\chi\) = 11.6
Dual form 11.5.d.a.2.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.38257 + 1.09906i) q^{2} +(12.7857 + 9.28936i) q^{3} +(-2.71041 + 1.96923i) q^{4} +(5.48545 - 16.8825i) q^{5} +(-53.4582 - 17.3696i) q^{6} +(-19.6356 - 27.0262i) q^{7} +(40.4526 - 55.6782i) q^{8} +(52.1517 + 160.506i) q^{9} +O(q^{10})\) \(q+(-3.38257 + 1.09906i) q^{2} +(12.7857 + 9.28936i) q^{3} +(-2.71041 + 1.96923i) q^{4} +(5.48545 - 16.8825i) q^{5} +(-53.4582 - 17.3696i) q^{6} +(-19.6356 - 27.0262i) q^{7} +(40.4526 - 55.6782i) q^{8} +(52.1517 + 160.506i) q^{9} +63.1351i q^{10} +(44.7432 - 112.423i) q^{11} -52.9474 q^{12} +(-133.670 + 43.4321i) q^{13} +(96.1225 + 69.8371i) q^{14} +(226.963 - 164.898i) q^{15} +(-59.0753 + 181.815i) q^{16} +(84.2066 + 27.3604i) q^{17} +(-352.814 - 485.607i) q^{18} +(-192.513 + 264.971i) q^{19} +(18.3776 + 56.5605i) q^{20} -527.951i q^{21} +(-27.7866 + 429.457i) q^{22} -527.616 q^{23} +(1034.43 - 336.107i) q^{24} +(250.708 + 182.150i) q^{25} +(404.415 - 293.825i) q^{26} +(-428.625 + 1319.17i) q^{27} +(106.441 + 34.5849i) q^{28} +(-100.856 - 138.816i) q^{29} +(-586.484 + 807.227i) q^{30} +(-318.892 - 981.449i) q^{31} +421.222i q^{32} +(1616.42 - 1021.78i) q^{33} -314.906 q^{34} +(-563.979 + 183.248i) q^{35} +(-457.426 - 332.339i) q^{36} +(238.981 - 173.630i) q^{37} +(359.968 - 1107.87i) q^{38} +(-2112.53 - 686.401i) q^{39} +(-718.085 - 988.360i) q^{40} +(16.1331 - 22.2053i) q^{41} +(580.252 + 1785.83i) q^{42} +2508.66i q^{43} +(100.115 + 392.823i) q^{44} +2995.82 q^{45} +(1784.70 - 579.884i) q^{46} +(1080.95 + 785.358i) q^{47} +(-2444.27 + 1775.86i) q^{48} +(397.096 - 1222.13i) q^{49} +(-1048.23 - 340.591i) q^{50} +(822.480 + 1132.05i) q^{51} +(276.773 - 380.946i) q^{52} +(159.574 + 491.117i) q^{53} -4933.29i q^{54} +(-1652.55 - 1372.07i) q^{55} -2299.08 q^{56} +(-4922.82 + 1599.52i) q^{57} +(493.720 + 358.709i) q^{58} +(1796.54 - 1305.27i) q^{59} +(-290.440 + 893.882i) q^{60} +(5069.82 + 1647.29i) q^{61} +(2157.35 + 2969.34i) q^{62} +(3313.84 - 4561.11i) q^{63} +(-1408.16 - 4333.86i) q^{64} +2494.93i q^{65} +(-4344.65 + 5232.78i) q^{66} -4026.91 q^{67} +(-282.113 + 91.6641i) q^{68} +(-6745.95 - 4901.22i) q^{69} +(1706.30 - 1239.70i) q^{70} +(538.898 - 1658.56i) q^{71} +(11046.4 + 3589.19i) q^{72} +(1326.54 + 1825.82i) q^{73} +(-617.540 + 849.971i) q^{74} +(1513.42 + 4657.83i) q^{75} -1097.28i q^{76} +(-3916.94 + 998.271i) q^{77} +7900.17 q^{78} +(3331.84 - 1082.58i) q^{79} +(2745.44 + 1994.68i) q^{80} +(-6675.22 + 4849.83i) q^{81} +(-30.1663 + 92.8423i) q^{82} +(-10550.4 - 3428.04i) q^{83} +(1039.66 + 1430.96i) q^{84} +(923.822 - 1271.53i) q^{85} +(-2757.18 - 8485.74i) q^{86} -2711.75i q^{87} +(-4449.56 - 7039.04i) q^{88} +2775.39 q^{89} +(-10133.6 + 3292.60i) q^{90} +(3798.51 + 2759.78i) q^{91} +(1430.06 - 1039.00i) q^{92} +(5039.77 - 15510.8i) q^{93} +(-4519.56 - 1468.49i) q^{94} +(3417.34 + 4703.57i) q^{95} +(-3912.88 + 5385.62i) q^{96} +(3047.94 + 9380.60i) q^{97} +4570.39i q^{98} +(20378.1 + 1318.50i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} + O(q^{10}) \) \( 12q - 5q^{2} - 6q^{3} + 7q^{4} - 18q^{5} + 75q^{6} - 80q^{7} - 245q^{8} + q^{9} - 43q^{11} + 594q^{12} + 250q^{13} + 610q^{14} + 1134q^{15} - 633q^{16} - 1250q^{17} - 3150q^{18} - 1025q^{19} + 752q^{20} - 35q^{22} + 1684q^{23} + 5345q^{24} + 197q^{25} + 3490q^{26} - 687q^{27} - 3580q^{28} - 2690q^{29} - 6740q^{30} - 1136q^{31} + 5939q^{33} + 2370q^{34} + 3610q^{35} - 514q^{36} - 336q^{37} + 1900q^{38} - 6880q^{39} - 2340q^{40} - 4550q^{41} + 1310q^{42} - 6268q^{44} + 5136q^{45} + 4150q^{46} + 24q^{47} + 344q^{48} + 827q^{49} + 8895q^{50} + 13155q^{51} + 14070q^{52} + 414q^{53} - 2738q^{55} - 21340q^{56} - 26925q^{57} + 2980q^{58} - 10011q^{59} - 6856q^{60} + 9460q^{61} - 6200q^{62} + 9150q^{63} - 2633q^{64} - 3210q^{66} + 12154q^{67} - 9400q^{68} - 9022q^{69} - 9380q^{70} + 17574q^{71} + 43045q^{72} + 27950q^{73} + 43270q^{74} - 1761q^{75} + 4090q^{77} - 42920q^{78} - 41540q^{79} - 2308q^{80} - 21080q^{81} - 28175q^{82} - 18665q^{83} + 26250q^{84} - 4230q^{85} - 10125q^{86} - 15125q^{88} + 5554q^{89} + 18400q^{90} + 7390q^{91} + 3904q^{92} + 36898q^{93} + 18920q^{94} + 14110q^{95} - 21140q^{96} + 20769q^{97} - 3269q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{9}{10}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.38257 + 1.09906i −0.845643 + 0.274766i −0.699620 0.714515i \(-0.746647\pi\)
−0.146023 + 0.989281i \(0.546647\pi\)
\(3\) 12.7857 + 9.28936i 1.42063 + 1.03215i 0.991667 + 0.128831i \(0.0411224\pi\)
0.428967 + 0.903320i \(0.358878\pi\)
\(4\) −2.71041 + 1.96923i −0.169401 + 0.123077i
\(5\) 5.48545 16.8825i 0.219418 0.675299i −0.779392 0.626536i \(-0.784472\pi\)
0.998810 0.0487629i \(-0.0155279\pi\)
\(6\) −53.4582 17.3696i −1.48495 0.482489i
\(7\) −19.6356 27.0262i −0.400728 0.551554i 0.560199 0.828358i \(-0.310725\pi\)
−0.960926 + 0.276804i \(0.910725\pi\)
\(8\) 40.4526 55.6782i 0.632072 0.869972i
\(9\) 52.1517 + 160.506i 0.643848 + 1.98156i
\(10\) 63.1351i 0.631351i
\(11\) 44.7432 112.423i 0.369779 0.929120i
\(12\) −52.9474 −0.367690
\(13\) −133.670 + 43.4321i −0.790948 + 0.256995i −0.676508 0.736435i \(-0.736508\pi\)
−0.114441 + 0.993430i \(0.536508\pi\)
\(14\) 96.1225 + 69.8371i 0.490421 + 0.356312i
\(15\) 226.963 164.898i 1.00872 0.732880i
\(16\) −59.0753 + 181.815i −0.230763 + 0.710216i
\(17\) 84.2066 + 27.3604i 0.291372 + 0.0946726i 0.451056 0.892496i \(-0.351047\pi\)
−0.159684 + 0.987168i \(0.551047\pi\)
\(18\) −352.814 485.607i −1.08893 1.49879i
\(19\) −192.513 + 264.971i −0.533276 + 0.733991i −0.987625 0.156832i \(-0.949872\pi\)
0.454350 + 0.890824i \(0.349872\pi\)
\(20\) 18.3776 + 56.5605i 0.0459441 + 0.141401i
\(21\) 527.951i 1.19717i
\(22\) −27.7866 + 429.457i −0.0574103 + 0.887307i
\(23\) −527.616 −0.997384 −0.498692 0.866779i \(-0.666186\pi\)
−0.498692 + 0.866779i \(0.666186\pi\)
\(24\) 1034.43 336.107i 1.79588 0.583518i
\(25\) 250.708 + 182.150i 0.401132 + 0.291440i
\(26\) 404.415 293.825i 0.598247 0.434652i
\(27\) −428.625 + 1319.17i −0.587963 + 1.80957i
\(28\) 106.441 + 34.5849i 0.135767 + 0.0441134i
\(29\) −100.856 138.816i −0.119924 0.165061i 0.744835 0.667249i \(-0.232528\pi\)
−0.864758 + 0.502188i \(0.832528\pi\)
\(30\) −586.484 + 807.227i −0.651649 + 0.896918i
\(31\) −318.892 981.449i −0.331834 1.02128i −0.968261 0.249942i \(-0.919588\pi\)
0.636427 0.771337i \(-0.280412\pi\)
\(32\) 421.222i 0.411349i
\(33\) 1616.42 1021.78i 1.48431 0.938272i
\(34\) −314.906 −0.272410
\(35\) −563.979 + 183.248i −0.460391 + 0.149590i
\(36\) −457.426 332.339i −0.352952 0.256435i
\(37\) 238.981 173.630i 0.174566 0.126830i −0.497071 0.867710i \(-0.665591\pi\)
0.671637 + 0.740880i \(0.265591\pi\)
\(38\) 359.968 1107.87i 0.249285 0.767221i
\(39\) −2112.53 686.401i −1.38891 0.451283i
\(40\) −718.085 988.360i −0.448803 0.617725i
\(41\) 16.1331 22.2053i 0.00959731 0.0132096i −0.804191 0.594370i \(-0.797401\pi\)
0.813789 + 0.581161i \(0.197401\pi\)
\(42\) 580.252 + 1785.83i 0.328941 + 1.01238i
\(43\) 2508.66i 1.35677i 0.734708 + 0.678384i \(0.237319\pi\)
−0.734708 + 0.678384i \(0.762681\pi\)
\(44\) 100.115 + 392.823i 0.0517123 + 0.202905i
\(45\) 2995.82 1.47942
\(46\) 1784.70 579.884i 0.843431 0.274047i
\(47\) 1080.95 + 785.358i 0.489340 + 0.355526i 0.804931 0.593369i \(-0.202203\pi\)
−0.315590 + 0.948896i \(0.602203\pi\)
\(48\) −2444.27 + 1775.86i −1.06088 + 0.770774i
\(49\) 397.096 1222.13i 0.165388 0.509011i
\(50\) −1048.23 340.591i −0.419293 0.136237i
\(51\) 822.480 + 1132.05i 0.316217 + 0.435235i
\(52\) 276.773 380.946i 0.102357 0.140882i
\(53\) 159.574 + 491.117i 0.0568080 + 0.174837i 0.975434 0.220290i \(-0.0707005\pi\)
−0.918626 + 0.395127i \(0.870700\pi\)
\(54\) 4933.29i 1.69180i
\(55\) −1652.55 1372.07i −0.546298 0.453577i
\(56\) −2299.08 −0.733125
\(57\) −4922.82 + 1599.52i −1.51518 + 0.492312i
\(58\) 493.720 + 358.709i 0.146766 + 0.106632i
\(59\) 1796.54 1305.27i 0.516100 0.374969i −0.299033 0.954243i \(-0.596664\pi\)
0.815133 + 0.579274i \(0.196664\pi\)
\(60\) −290.440 + 893.882i −0.0806778 + 0.248301i
\(61\) 5069.82 + 1647.29i 1.36249 + 0.442700i 0.896874 0.442287i \(-0.145833\pi\)
0.465616 + 0.884987i \(0.345833\pi\)
\(62\) 2157.35 + 2969.34i 0.561226 + 0.772461i
\(63\) 3313.84 4561.11i 0.834930 1.14918i
\(64\) −1408.16 4333.86i −0.343788 1.05807i
\(65\) 2494.93i 0.590516i
\(66\) −4344.65 + 5232.78i −0.997394 + 1.20128i
\(67\) −4026.91 −0.897062 −0.448531 0.893767i \(-0.648053\pi\)
−0.448531 + 0.893767i \(0.648053\pi\)
\(68\) −282.113 + 91.6641i −0.0610106 + 0.0198236i
\(69\) −6745.95 4901.22i −1.41692 1.02945i
\(70\) 1706.30 1239.70i 0.348224 0.253000i
\(71\) 538.898 1658.56i 0.106903 0.329014i −0.883269 0.468866i \(-0.844663\pi\)
0.990172 + 0.139852i \(0.0446627\pi\)
\(72\) 11046.4 + 3589.19i 2.13086 + 0.692358i
\(73\) 1326.54 + 1825.82i 0.248928 + 0.342620i 0.915135 0.403146i \(-0.132083\pi\)
−0.666207 + 0.745766i \(0.732083\pi\)
\(74\) −617.540 + 849.971i −0.112772 + 0.155217i
\(75\) 1513.42 + 4657.83i 0.269053 + 0.828059i
\(76\) 1097.28i 0.189972i
\(77\) −3916.94 + 998.271i −0.660640 + 0.168371i
\(78\) 7900.17 1.29852
\(79\) 3331.84 1082.58i 0.533863 0.173463i −0.0296646 0.999560i \(-0.509444\pi\)
0.563527 + 0.826097i \(0.309444\pi\)
\(80\) 2745.44 + 1994.68i 0.428974 + 0.311668i
\(81\) −6675.22 + 4849.83i −1.01741 + 0.739191i
\(82\) −30.1663 + 92.8423i −0.00448636 + 0.0138076i
\(83\) −10550.4 3428.04i −1.53149 0.497610i −0.582474 0.812849i \(-0.697915\pi\)
−0.949012 + 0.315239i \(0.897915\pi\)
\(84\) 1039.66 + 1430.96i 0.147343 + 0.202801i
\(85\) 923.822 1271.53i 0.127865 0.175991i
\(86\) −2757.18 8485.74i −0.372794 1.14734i
\(87\) 2711.75i 0.358270i
\(88\) −4449.56 7039.04i −0.574581 0.908967i
\(89\) 2775.39 0.350383 0.175192 0.984534i \(-0.443945\pi\)
0.175192 + 0.984534i \(0.443945\pi\)
\(90\) −10133.6 + 3292.60i −1.25106 + 0.406494i
\(91\) 3798.51 + 2759.78i 0.458701 + 0.333266i
\(92\) 1430.06 1039.00i 0.168957 0.122755i
\(93\) 5039.77 15510.8i 0.582700 1.79337i
\(94\) −4519.56 1468.49i −0.511494 0.166194i
\(95\) 3417.34 + 4703.57i 0.378653 + 0.521171i
\(96\) −3912.88 + 5385.62i −0.424575 + 0.584377i
\(97\) 3047.94 + 9380.60i 0.323939 + 0.996982i 0.971917 + 0.235323i \(0.0756147\pi\)
−0.647978 + 0.761659i \(0.724385\pi\)
\(98\) 4570.39i 0.475884i
\(99\) 20378.1 + 1318.50i 2.07919 + 0.134527i
\(100\) −1038.22 −0.103822
\(101\) 8247.05 2679.63i 0.808455 0.262683i 0.124512 0.992218i \(-0.460264\pi\)
0.683943 + 0.729535i \(0.260264\pi\)
\(102\) −4026.29 2925.27i −0.386995 0.281168i
\(103\) −13839.0 + 10054.6i −1.30445 + 0.947741i −0.999989 0.00478190i \(-0.998478\pi\)
−0.304466 + 0.952523i \(0.598478\pi\)
\(104\) −2989.09 + 9199.46i −0.276358 + 0.850542i
\(105\) −8913.12 2896.05i −0.808446 0.262680i
\(106\) −1079.54 1485.86i −0.0960786 0.132241i
\(107\) 7525.74 10358.3i 0.657327 0.904734i −0.342062 0.939677i \(-0.611125\pi\)
0.999389 + 0.0349438i \(0.0111252\pi\)
\(108\) −1436.00 4419.56i −0.123114 0.378906i
\(109\) 21394.0i 1.80069i 0.435173 + 0.900347i \(0.356687\pi\)
−0.435173 + 0.900347i \(0.643313\pi\)
\(110\) 7097.87 + 2824.87i 0.586601 + 0.233460i
\(111\) 4668.45 0.378902
\(112\) 6073.75 1973.48i 0.484195 0.157325i
\(113\) −2614.92 1899.85i −0.204786 0.148786i 0.480665 0.876904i \(-0.340395\pi\)
−0.685452 + 0.728118i \(0.740395\pi\)
\(114\) 14893.8 10821.0i 1.14603 0.832640i
\(115\) −2894.21 + 8907.47i −0.218844 + 0.673533i
\(116\) 546.721 + 177.640i 0.0406303 + 0.0132016i
\(117\) −13942.3 19189.9i −1.01850 1.40185i
\(118\) −4642.37 + 6389.68i −0.333408 + 0.458897i
\(119\) −914.005 2813.02i −0.0645438 0.198645i
\(120\) 19307.4i 1.34079i
\(121\) −10637.1 10060.4i −0.726527 0.687138i
\(122\) −18959.5 −1.27382
\(123\) 412.545 134.044i 0.0272685 0.00886008i
\(124\) 2797.03 + 2032.16i 0.181909 + 0.132164i
\(125\) 13426.1 9754.61i 0.859268 0.624295i
\(126\) −6196.35 + 19070.4i −0.390297 + 1.20121i
\(127\) 3645.45 + 1184.48i 0.226018 + 0.0734378i 0.419837 0.907600i \(-0.362087\pi\)
−0.193818 + 0.981037i \(0.562087\pi\)
\(128\) 5564.97 + 7659.53i 0.339659 + 0.467501i
\(129\) −23303.9 + 32075.0i −1.40039 + 1.92747i
\(130\) −2742.09 8439.28i −0.162254 0.499366i
\(131\) 24843.5i 1.44767i −0.689971 0.723837i \(-0.742377\pi\)
0.689971 0.723837i \(-0.257623\pi\)
\(132\) −2369.04 + 5952.53i −0.135964 + 0.341628i
\(133\) 10941.2 0.618534
\(134\) 13621.3 4425.84i 0.758595 0.246482i
\(135\) 19919.7 + 14472.5i 1.09299 + 0.794102i
\(136\) 4929.75 3581.67i 0.266531 0.193646i
\(137\) −133.385 + 410.518i −0.00710668 + 0.0218721i −0.954547 0.298061i \(-0.903660\pi\)
0.947440 + 0.319933i \(0.103660\pi\)
\(138\) 28205.4 + 9164.49i 1.48107 + 0.481227i
\(139\) −17520.3 24114.6i −0.906801 1.24810i −0.968247 0.249994i \(-0.919571\pi\)
0.0614464 0.998110i \(-0.480429\pi\)
\(140\) 1167.76 1607.28i 0.0595794 0.0820040i
\(141\) 6525.27 + 20082.7i 0.328216 + 1.01015i
\(142\) 6202.48i 0.307602i
\(143\) −1098.05 + 16971.0i −0.0536971 + 0.829917i
\(144\) −32263.4 −1.55591
\(145\) −2896.80 + 941.227i −0.137779 + 0.0447671i
\(146\) −6493.81 4718.03i −0.304645 0.221337i
\(147\) 16430.0 11937.1i 0.760331 0.552413i
\(148\) −305.819 + 941.215i −0.0139618 + 0.0429700i
\(149\) −16775.4 5450.66i −0.755615 0.245514i −0.0942196 0.995551i \(-0.530036\pi\)
−0.661396 + 0.750037i \(0.730036\pi\)
\(150\) −10238.5 14092.1i −0.455045 0.626316i
\(151\) 13739.9 18911.4i 0.602602 0.829410i −0.393342 0.919392i \(-0.628681\pi\)
0.995943 + 0.0899823i \(0.0286810\pi\)
\(152\) 6965.47 + 21437.5i 0.301483 + 0.927870i
\(153\) 14942.6i 0.638327i
\(154\) 12152.2 7681.69i 0.512404 0.323903i
\(155\) −18318.6 −0.762479
\(156\) 7077.49 2299.62i 0.290824 0.0944944i
\(157\) 5550.70 + 4032.82i 0.225190 + 0.163610i 0.694660 0.719339i \(-0.255555\pi\)
−0.469470 + 0.882948i \(0.655555\pi\)
\(158\) −10080.4 + 7323.81i −0.403796 + 0.293375i
\(159\) −2521.90 + 7761.62i −0.0997548 + 0.307014i
\(160\) 7111.26 + 2310.59i 0.277784 + 0.0902574i
\(161\) 10360.1 + 14259.4i 0.399679 + 0.550111i
\(162\) 17249.1 23741.4i 0.657261 0.904642i
\(163\) −3206.11 9867.40i −0.120671 0.371388i 0.872416 0.488763i \(-0.162552\pi\)
−0.993088 + 0.117376i \(0.962552\pi\)
\(164\) 91.9551i 0.00341891i
\(165\) −8383.37 32894.0i −0.307929 1.20823i
\(166\) 39455.2 1.43182
\(167\) −50732.0 + 16483.8i −1.81907 + 0.591051i −0.819222 + 0.573477i \(0.805594\pi\)
−0.999846 + 0.0175744i \(0.994406\pi\)
\(168\) −29395.4 21357.0i −1.04150 0.756696i
\(169\) −7124.94 + 5176.57i −0.249464 + 0.181246i
\(170\) −1727.40 + 5316.39i −0.0597716 + 0.183958i
\(171\) −52569.4 17080.8i −1.79780 0.584139i
\(172\) −4940.13 6799.50i −0.166986 0.229837i
\(173\) 11127.9 15316.2i 0.371809 0.511752i −0.581582 0.813488i \(-0.697566\pi\)
0.953392 + 0.301736i \(0.0975661\pi\)
\(174\) 2980.39 + 9172.69i 0.0984406 + 0.302969i
\(175\) 10352.3i 0.338034i
\(176\) 17797.1 + 14776.5i 0.574544 + 0.477029i
\(177\) 35095.2 1.12021
\(178\) −9387.95 + 3050.33i −0.296299 + 0.0962735i
\(179\) 49361.8 + 35863.5i 1.54058 + 1.11930i 0.949968 + 0.312347i \(0.101115\pi\)
0.590616 + 0.806953i \(0.298885\pi\)
\(180\) −8119.90 + 5899.45i −0.250614 + 0.182082i
\(181\) 13152.2 40478.2i 0.401458 1.23556i −0.522359 0.852726i \(-0.674948\pi\)
0.923817 0.382835i \(-0.125052\pi\)
\(182\) −15881.9 5160.34i −0.479468 0.155789i
\(183\) 49519.1 + 68157.1i 1.47867 + 2.03521i
\(184\) −21343.4 + 29376.7i −0.630418 + 0.867696i
\(185\) −1620.38 4987.03i −0.0473450 0.145713i
\(186\) 58005.5i 1.67665i
\(187\) 6843.62 8242.61i 0.195705 0.235712i
\(188\) −4476.37 −0.126652
\(189\) 44068.5 14318.7i 1.23369 0.400849i
\(190\) −16729.0 12154.3i −0.463406 0.336684i
\(191\) −40407.2 + 29357.6i −1.10762 + 0.804736i −0.982288 0.187378i \(-0.940001\pi\)
−0.125336 + 0.992114i \(0.540001\pi\)
\(192\) 22254.5 68492.3i 0.603692 1.85797i
\(193\) 62374.8 + 20266.8i 1.67454 + 0.544090i 0.983839 0.179055i \(-0.0573040\pi\)
0.690697 + 0.723145i \(0.257304\pi\)
\(194\) −20619.8 28380.7i −0.547874 0.754084i
\(195\) −23176.3 + 31899.4i −0.609502 + 0.838907i
\(196\) 1330.37 + 4094.46i 0.0346306 + 0.106582i
\(197\) 35687.2i 0.919559i −0.888033 0.459779i \(-0.847928\pi\)
0.888033 0.459779i \(-0.152072\pi\)
\(198\) −70379.6 + 17937.0i −1.79522 + 0.457529i
\(199\) −10569.8 −0.266907 −0.133453 0.991055i \(-0.542607\pi\)
−0.133453 + 0.991055i \(0.542607\pi\)
\(200\) 20283.6 6590.53i 0.507089 0.164763i
\(201\) −51486.9 37407.4i −1.27440 0.925903i
\(202\) −24951.2 + 18128.1i −0.611488 + 0.444272i
\(203\) −1771.30 + 5451.49i −0.0429832 + 0.132289i
\(204\) −4458.52 1448.66i −0.107135 0.0348102i
\(205\) −286.383 394.172i −0.00681458 0.00937947i
\(206\) 35760.6 49220.3i 0.842696 1.15987i
\(207\) −27516.1 84685.8i −0.642164 1.97638i
\(208\) 26869.1i 0.621049i
\(209\) 21175.3 + 33498.6i 0.484772 + 0.766891i
\(210\) 33332.2 0.755833
\(211\) −22961.2 + 7460.53i −0.515738 + 0.167573i −0.555310 0.831643i \(-0.687400\pi\)
0.0395724 + 0.999217i \(0.487400\pi\)
\(212\) −1399.63 1016.89i −0.0311417 0.0226258i
\(213\) 22297.1 16199.8i 0.491462 0.357068i
\(214\) −14071.9 + 43309.0i −0.307274 + 0.945693i
\(215\) 42352.4 + 13761.1i 0.916224 + 0.297699i
\(216\) 56110.2 + 77229.0i 1.20264 + 1.65529i
\(217\) −20263.1 + 27889.8i −0.430316 + 0.592279i
\(218\) −23513.4 72366.9i −0.494770 1.52274i
\(219\) 35667.1i 0.743669i
\(220\) 7181.01 + 464.623i 0.148368 + 0.00959966i
\(221\) −12444.2 −0.254791
\(222\) −15791.4 + 5130.93i −0.320416 + 0.104109i
\(223\) −56598.8 41121.5i −1.13815 0.826911i −0.151286 0.988490i \(-0.548341\pi\)
−0.986860 + 0.161579i \(0.948341\pi\)
\(224\) 11384.0 8270.96i 0.226881 0.164839i
\(225\) −16161.4 + 49739.6i −0.319237 + 0.982511i
\(226\) 10933.2 + 3552.41i 0.214058 + 0.0695515i
\(227\) 26594.8 + 36604.7i 0.516114 + 0.710370i 0.984935 0.172923i \(-0.0553211\pi\)
−0.468821 + 0.883293i \(0.655321\pi\)
\(228\) 10193.0 14029.5i 0.196080 0.269881i
\(229\) 10716.1 + 32980.7i 0.204345 + 0.628910i 0.999740 + 0.0228179i \(0.00726379\pi\)
−0.795394 + 0.606092i \(0.792736\pi\)
\(230\) 33311.1i 0.629699i
\(231\) −59354.1 23622.2i −1.11231 0.442687i
\(232\) −11808.9 −0.219399
\(233\) −6091.22 + 1979.16i −0.112200 + 0.0364559i −0.364579 0.931173i \(-0.618787\pi\)
0.252379 + 0.967628i \(0.418787\pi\)
\(234\) 68251.7 + 49587.7i 1.24647 + 0.905613i
\(235\) 19188.3 13941.1i 0.347457 0.252442i
\(236\) −2299.00 + 7075.61i −0.0412777 + 0.127040i
\(237\) 52656.4 + 17109.1i 0.937463 + 0.304600i
\(238\) 6183.38 + 8510.69i 0.109162 + 0.150249i
\(239\) 46589.7 64125.3i 0.815632 1.12262i −0.174798 0.984604i \(-0.555927\pi\)
0.990430 0.138017i \(-0.0440729\pi\)
\(240\) 16573.1 + 51006.7i 0.287727 + 0.885533i
\(241\) 17413.4i 0.299813i −0.988700 0.149907i \(-0.952103\pi\)
0.988700 0.149907i \(-0.0478973\pi\)
\(242\) 47037.7 + 22339.1i 0.803185 + 0.381448i
\(243\) −18047.3 −0.305633
\(244\) −16985.2 + 5518.82i −0.285293 + 0.0926972i
\(245\) −18454.4 13407.9i −0.307445 0.223372i
\(246\) −1248.14 + 906.828i −0.0206250 + 0.0149849i
\(247\) 14225.0 43779.9i 0.233162 0.717598i
\(248\) −67545.3 21946.8i −1.09823 0.356836i
\(249\) −103050. 141836.i −1.66207 2.28765i
\(250\) −34693.7 + 47751.8i −0.555099 + 0.764029i
\(251\) 11753.2 + 36172.7i 0.186556 + 0.574160i 0.999972 0.00752246i \(-0.00239450\pi\)
−0.813416 + 0.581683i \(0.802394\pi\)
\(252\) 18888.2i 0.297433i
\(253\) −23607.3 + 59316.5i −0.368812 + 0.926689i
\(254\) −13632.8 −0.211309
\(255\) 23623.4 7675.72i 0.363298 0.118043i
\(256\) 31743.3 + 23062.9i 0.484365 + 0.351912i
\(257\) −71189.9 + 51722.5i −1.07783 + 0.783092i −0.977304 0.211841i \(-0.932054\pi\)
−0.100530 + 0.994934i \(0.532054\pi\)
\(258\) 43574.5 134109.i 0.654626 2.01473i
\(259\) −9385.09 3049.40i −0.139907 0.0454585i
\(260\) −4913.08 6762.28i −0.0726788 0.100034i
\(261\) 17021.1 23427.5i 0.249865 0.343910i
\(262\) 27304.7 + 84035.1i 0.397772 + 1.22422i
\(263\) 1908.11i 0.0275863i −0.999905 0.0137931i \(-0.995609\pi\)
0.999905 0.0137931i \(-0.00439063\pi\)
\(264\) 8497.45 131333.i 0.121922 1.88436i
\(265\) 9166.61 0.130532
\(266\) −37009.6 + 12025.1i −0.523059 + 0.169952i
\(267\) 35485.3 + 25781.6i 0.497766 + 0.361649i
\(268\) 10914.6 7929.90i 0.151963 0.110407i
\(269\) −18872.3 + 58082.9i −0.260807 + 0.802683i 0.731822 + 0.681496i \(0.238670\pi\)
−0.992630 + 0.121187i \(0.961330\pi\)
\(270\) −83286.1 27061.3i −1.14247 0.371211i
\(271\) 4245.02 + 5842.77i 0.0578018 + 0.0795573i 0.836939 0.547296i \(-0.184343\pi\)
−0.779138 + 0.626853i \(0.784343\pi\)
\(272\) −9949.07 + 13693.7i −0.134476 + 0.185090i
\(273\) 22930.0 + 70571.4i 0.307666 + 0.946898i
\(274\) 1535.21i 0.0204487i
\(275\) 31695.4 20035.5i 0.419113 0.264932i
\(276\) 27935.9 0.366728
\(277\) 19321.0 6277.77i 0.251808 0.0818174i −0.180393 0.983595i \(-0.557737\pi\)
0.432201 + 0.901777i \(0.357737\pi\)
\(278\) 85767.3 + 62313.6i 1.10977 + 0.806293i
\(279\) 140898. 102368.i 1.81008 1.31510i
\(280\) −12611.5 + 38814.2i −0.160861 + 0.495079i
\(281\) −63587.0 20660.7i −0.805296 0.261656i −0.122692 0.992445i \(-0.539153\pi\)
−0.682604 + 0.730788i \(0.739153\pi\)
\(282\) −44144.4 60759.6i −0.555108 0.764040i
\(283\) −7848.36 + 10802.3i −0.0979955 + 0.134879i −0.855199 0.518300i \(-0.826565\pi\)
0.757203 + 0.653179i \(0.226565\pi\)
\(284\) 1805.44 + 5556.59i 0.0223845 + 0.0688924i
\(285\) 91883.4i 1.13122i
\(286\) −14938.0 58612.4i −0.182625 0.716568i
\(287\) −916.906 −0.0111317
\(288\) −67608.8 + 21967.4i −0.815113 + 0.264846i
\(289\) −61227.7 44484.6i −0.733082 0.532615i
\(290\) 8764.17 6367.54i 0.104211 0.0757139i
\(291\) −48169.7 + 148251.i −0.568837 + 1.75070i
\(292\) −7190.92 2336.47i −0.0843371 0.0274028i
\(293\) 20572.5 + 28315.6i 0.239635 + 0.329830i 0.911848 0.410529i \(-0.134656\pi\)
−0.672212 + 0.740358i \(0.734656\pi\)
\(294\) −42456.0 + 58435.7i −0.491185 + 0.676058i
\(295\) −12181.3 37490.1i −0.139974 0.430797i
\(296\) 20329.8i 0.232033i
\(297\) 129128. + 107212.i 1.46389 + 1.21543i
\(298\) 62734.7 0.706440
\(299\) 70526.6 22915.5i 0.788879 0.256322i
\(300\) −13274.3 9644.35i −0.147492 0.107159i
\(301\) 67799.5 49259.2i 0.748331 0.543694i
\(302\) −25691.5 + 79070.2i −0.281692 + 0.866960i
\(303\) 130336. + 42348.8i 1.41965 + 0.461271i
\(304\) −36803.0 50654.9i −0.398232 0.548119i
\(305\) 55620.5 76555.1i 0.597909 0.822952i
\(306\) −16422.9 50544.4i −0.175391 0.539797i
\(307\) 41183.9i 0.436969i −0.975840 0.218484i \(-0.929889\pi\)
0.975840 0.218484i \(-0.0701113\pi\)
\(308\) 8650.68 10419.1i 0.0911903 0.109832i
\(309\) −270341. −2.83136
\(310\) 61963.9 20133.3i 0.644785 0.209503i
\(311\) −26765.2 19446.0i −0.276725 0.201053i 0.440762 0.897624i \(-0.354708\pi\)
−0.717488 + 0.696571i \(0.754708\pi\)
\(312\) −123675. + 89854.9i −1.27049 + 0.923066i
\(313\) 22727.2 69947.3i 0.231984 0.713974i −0.765523 0.643408i \(-0.777520\pi\)
0.997507 0.0705652i \(-0.0224803\pi\)
\(314\) −23208.0 7540.73i −0.235384 0.0764811i
\(315\) −58824.9 80965.5i −0.592843 0.815979i
\(316\) −6898.80 + 9495.38i −0.0690875 + 0.0950907i
\(317\) −49628.0 152739.i −0.493865 1.51996i −0.818719 0.574195i \(-0.805315\pi\)
0.324854 0.945764i \(-0.394685\pi\)
\(318\) 29026.0i 0.287034i
\(319\) −20118.8 + 5127.48i −0.197707 + 0.0503875i
\(320\) −80890.6 −0.789947
\(321\) 192444. 62528.8i 1.86764 0.606834i
\(322\) −50715.8 36847.2i −0.489138 0.355380i
\(323\) −23460.5 + 17045.1i −0.224871 + 0.163378i
\(324\) 8542.16 26290.1i 0.0813725 0.250439i
\(325\) −41423.3 13459.3i −0.392174 0.127425i
\(326\) 21689.8 + 29853.5i 0.204090 + 0.280905i
\(327\) −198737. + 273538.i −1.85859 + 2.55813i
\(328\) −583.725 1796.52i −0.00542576 0.0166988i
\(329\) 44635.0i 0.412367i
\(330\) 64510.0 + 102053.i 0.592379 + 0.937122i
\(331\) 135669. 1.23829 0.619147 0.785275i \(-0.287478\pi\)
0.619147 + 0.785275i \(0.287478\pi\)
\(332\) 35346.5 11484.8i 0.320679 0.104195i
\(333\) 40331.9 + 29302.9i 0.363715 + 0.264254i
\(334\) 153488. 111515.i 1.37588 0.999637i
\(335\) −22089.4 + 67984.2i −0.196832 + 0.605785i
\(336\) 95989.5 + 31188.9i 0.850247 + 0.276262i
\(337\) 57084.0 + 78569.4i 0.502637 + 0.691821i 0.982656 0.185437i \(-0.0593702\pi\)
−0.480019 + 0.877258i \(0.659370\pi\)
\(338\) 18411.2 25340.9i 0.161157 0.221814i
\(339\) −15785.2 48581.8i −0.137357 0.422741i
\(340\) 5265.59i 0.0455501i
\(341\) −124606. 8062.24i −1.07160 0.0693341i
\(342\) 196593. 1.68080
\(343\) −117109. + 38051.1i −0.995413 + 0.323429i
\(344\) 139678. + 101482.i 1.18035 + 0.857574i
\(345\) −119749. + 87002.9i −1.00608 + 0.730963i
\(346\) −20807.4 + 64038.5i −0.173806 + 0.534920i
\(347\) 91169.0 + 29622.6i 0.757161 + 0.246016i 0.662060 0.749451i \(-0.269683\pi\)
0.0951010 + 0.995468i \(0.469683\pi\)
\(348\) 5340.05 + 7349.95i 0.0440947 + 0.0606912i
\(349\) −32669.6 + 44965.8i −0.268221 + 0.369174i −0.921788 0.387694i \(-0.873272\pi\)
0.653567 + 0.756868i \(0.273272\pi\)
\(350\) 11377.8 + 35017.4i 0.0928804 + 0.285856i
\(351\) 194950.i 1.58238i
\(352\) 47355.2 + 18846.8i 0.382193 + 0.152108i
\(353\) −56919.5 −0.456785 −0.228392 0.973569i \(-0.573347\pi\)
−0.228392 + 0.973569i \(0.573347\pi\)
\(354\) −118712. + 38571.9i −0.947301 + 0.307797i
\(355\) −25044.5 18195.9i −0.198726 0.144383i
\(356\) −7522.43 + 5465.37i −0.0593551 + 0.0431240i
\(357\) 14444.9 44456.9i 0.113339 0.348821i
\(358\) −206386. 67059.0i −1.61033 0.523228i
\(359\) 29878.4 + 41124.1i 0.231830 + 0.319086i 0.909044 0.416699i \(-0.136813\pi\)
−0.677215 + 0.735785i \(0.736813\pi\)
\(360\) 121189. 166802.i 0.935098 1.28705i
\(361\) 7122.97 + 21922.3i 0.0546571 + 0.168217i
\(362\) 151376.i 1.15515i
\(363\) −42548.2 227441.i −0.322900 1.72606i
\(364\) −15730.1 −0.118722
\(365\) 38101.0 12379.8i 0.285990 0.0929239i
\(366\) −242411. 176122.i −1.80963 1.31477i
\(367\) 20488.1 14885.4i 0.152114 0.110517i −0.509125 0.860693i \(-0.670031\pi\)
0.661239 + 0.750175i \(0.270031\pi\)
\(368\) 31169.1 95928.7i 0.230159 0.708358i
\(369\) 4405.46 + 1431.42i 0.0323548 + 0.0105127i
\(370\) 10962.1 + 15088.1i 0.0800740 + 0.110212i
\(371\) 10139.7 13956.1i 0.0736676 0.101395i
\(372\) 16884.5 + 51965.1i 0.122012 + 0.375514i
\(373\) 246121.i 1.76901i 0.466527 + 0.884507i \(0.345505\pi\)
−0.466527 + 0.884507i \(0.654495\pi\)
\(374\) −14089.9 + 35402.8i −0.100731 + 0.253101i
\(375\) 262276. 1.86507
\(376\) 87454.6 28415.7i 0.618596 0.200994i
\(377\) 19510.5 + 14175.2i 0.137273 + 0.0997348i
\(378\) −133328. + 96868.3i −0.933119 + 0.677951i
\(379\) 67854.3 208834.i 0.472388 1.45386i −0.377059 0.926189i \(-0.623065\pi\)
0.849448 0.527673i \(-0.176935\pi\)
\(380\) −18524.8 6019.07i −0.128288 0.0416833i
\(381\) 35606.6 + 49008.3i 0.245290 + 0.337613i
\(382\) 104415. 143714.i 0.715541 0.984857i
\(383\) 16737.3 + 51512.2i 0.114101 + 0.351166i 0.991758 0.128122i \(-0.0408950\pi\)
−0.877658 + 0.479288i \(0.840895\pi\)
\(384\) 149628.i 1.01473i
\(385\) −4632.87 + 71603.6i −0.0312557 + 0.483073i
\(386\) −233262. −1.56556
\(387\) −402656. + 130831.i −2.68852 + 0.873552i
\(388\) −26733.7 19423.2i −0.177581 0.129020i
\(389\) −4944.93 + 3592.70i −0.0326784 + 0.0237423i −0.604005 0.796981i \(-0.706429\pi\)
0.571326 + 0.820723i \(0.306429\pi\)
\(390\) 43336.0 133374.i 0.284918 0.876887i
\(391\) −44428.8 14435.8i −0.290610 0.0944249i
\(392\) −51982.7 71548.1i −0.338288 0.465614i
\(393\) 230780. 317642.i 1.49422 2.05661i
\(394\) 39222.5 + 120714.i 0.252664 + 0.777619i
\(395\) 62188.1i 0.398578i
\(396\) −57829.5 + 36555.5i −0.368773 + 0.233111i
\(397\) −121993. −0.774022 −0.387011 0.922075i \(-0.626493\pi\)
−0.387011 + 0.922075i \(0.626493\pi\)
\(398\) 35753.1 11616.9i 0.225708 0.0733370i
\(399\) 139892. + 101637.i 0.878710 + 0.638420i
\(400\) −47928.3 + 34821.9i −0.299552 + 0.217637i
\(401\) 30.6968 94.4752i 0.000190900 0.000587529i −0.950961 0.309311i \(-0.899902\pi\)
0.951152 + 0.308723i \(0.0999017\pi\)
\(402\) 215271. + 69945.9i 1.33209 + 0.432823i
\(403\) 85252.8 + 117340.i 0.524927 + 0.722500i
\(404\) −17076.1 + 23503.2i −0.104623 + 0.144001i
\(405\) 45260.6 + 139298.i 0.275937 + 0.849247i
\(406\) 20386.8i 0.123680i
\(407\) −8827.29 34635.8i −0.0532891 0.209092i
\(408\) 96301.8 0.578514
\(409\) −37657.4 + 12235.6i −0.225115 + 0.0731441i −0.419402 0.907800i \(-0.637760\pi\)
0.194288 + 0.980945i \(0.437760\pi\)
\(410\) 1401.93 + 1018.56i 0.00833987 + 0.00605927i
\(411\) −5518.87 + 4009.70i −0.0326713 + 0.0237371i
\(412\) 17709.5 54504.1i 0.104330 0.321096i
\(413\) −70552.6 22923.9i −0.413631 0.134397i
\(414\) 186150. + 256214.i 1.08608 + 1.49487i
\(415\) −115747. + 159313.i −0.672071 + 0.925027i
\(416\) −18294.5 56304.8i −0.105715 0.325356i
\(417\) 471075.i 2.70905i
\(418\) −108444. 90038.4i −0.620660 0.515318i
\(419\) 167355. 0.953256 0.476628 0.879105i \(-0.341859\pi\)
0.476628 + 0.879105i \(0.341859\pi\)
\(420\) 29861.2 9702.48i 0.169281 0.0550027i
\(421\) 230240. + 167279.i 1.29902 + 0.943794i 0.999946 0.0104357i \(-0.00332184\pi\)
0.299075 + 0.954230i \(0.403322\pi\)
\(422\) 69468.2 50471.6i 0.390087 0.283415i
\(423\) −69681.5 + 214458.i −0.389436 + 1.19856i
\(424\) 33799.7 + 10982.2i 0.188010 + 0.0610882i
\(425\) 16127.6 + 22197.7i 0.0892875 + 0.122894i
\(426\) −57617.1 + 79303.1i −0.317491 + 0.436990i
\(427\) −55029.5 169363.i −0.301814 0.928889i
\(428\) 42895.1i 0.234164i
\(429\) −171689. + 206786.i −0.932884 + 1.12358i
\(430\) −158385. −0.856596
\(431\) −84558.1 + 27474.6i −0.455198 + 0.147903i −0.527637 0.849470i \(-0.676922\pi\)
0.0724387 + 0.997373i \(0.476922\pi\)
\(432\) −214525. 155861.i −1.14950 0.835162i
\(433\) −48997.4 + 35598.7i −0.261335 + 0.189871i −0.710735 0.703460i \(-0.751638\pi\)
0.449401 + 0.893330i \(0.351638\pi\)
\(434\) 37888.8 116610.i 0.201156 0.619093i
\(435\) −45781.0 14875.2i −0.241940 0.0786110i
\(436\) −42129.7 57986.6i −0.221623 0.305038i
\(437\) 101573. 139803.i 0.531881 0.732071i
\(438\) −39200.5 120647.i −0.204335 0.628879i
\(439\) 158687.i 0.823401i 0.911319 + 0.411701i \(0.135065\pi\)
−0.911319 + 0.411701i \(0.864935\pi\)
\(440\) −143244. + 36507.3i −0.739898 + 0.188571i
\(441\) 216870. 1.11512
\(442\) 42093.6 13677.0i 0.215462 0.0700079i
\(443\) −57293.4 41626.1i −0.291943 0.212109i 0.432167 0.901794i \(-0.357749\pi\)
−0.724110 + 0.689685i \(0.757749\pi\)
\(444\) −12653.4 + 9193.24i −0.0641862 + 0.0466340i
\(445\) 15224.2 46855.4i 0.0768804 0.236614i
\(446\) 236645. + 76890.6i 1.18967 + 0.386548i
\(447\) −163852. 225523.i −0.820045 1.12870i
\(448\) −89477.4 + 123155.i −0.445818 + 0.613616i
\(449\) −56221.7 173033.i −0.278876 0.858292i −0.988168 0.153377i \(-0.950985\pi\)
0.709292 0.704915i \(-0.249015\pi\)
\(450\) 186010.i 0.918570i
\(451\) −1774.55 2807.27i −0.00872438 0.0138017i
\(452\) 10828.7 0.0530030
\(453\) 351349. 114160.i 1.71215 0.556312i
\(454\) −130190. 94588.5i −0.631634 0.458909i
\(455\) 67428.4 48989.6i 0.325702 0.236636i
\(456\) −110082. + 338798.i −0.529404 + 1.62934i
\(457\) 227035. + 73768.1i 1.08708 + 0.353213i 0.797116 0.603826i \(-0.206358\pi\)
0.289960 + 0.957039i \(0.406358\pi\)
\(458\) −72495.8 99781.9i −0.345607 0.475687i
\(459\) −72186.1 + 99355.7i −0.342632 + 0.471593i
\(460\) −9696.33 29842.2i −0.0458239 0.141031i
\(461\) 229797.i 1.08129i 0.841251 + 0.540645i \(0.181820\pi\)
−0.841251 + 0.540645i \(0.818180\pi\)
\(462\) 226732. + 14670.0i 1.06226 + 0.0687297i
\(463\) −273524. −1.27595 −0.637976 0.770057i \(-0.720228\pi\)
−0.637976 + 0.770057i \(0.720228\pi\)
\(464\) 31197.0 10136.5i 0.144903 0.0470818i
\(465\) −234216. 170168.i −1.08320 0.786993i
\(466\) 18428.8 13389.3i 0.0848642 0.0616575i
\(467\) 45298.9 139416.i 0.207708 0.639260i −0.791883 0.610673i \(-0.790899\pi\)
0.999591 0.0285876i \(-0.00910094\pi\)
\(468\) 75578.5 + 24556.9i 0.345069 + 0.112120i
\(469\) 79071.0 + 108832.i 0.359477 + 0.494778i
\(470\) −49583.6 + 68246.0i −0.224462 + 0.308945i
\(471\) 33507.3 + 103125.i 0.151042 + 0.464859i
\(472\) 152830.i 0.686000i
\(473\) 282033. + 112246.i 1.26060 + 0.501704i
\(474\) −196918. −0.876453
\(475\) −96528.8 + 31364.1i −0.427828 + 0.139010i
\(476\) 8016.80 + 5824.55i 0.0353824 + 0.0257068i
\(477\) −70505.4 + 51225.2i −0.309874 + 0.225137i
\(478\) −87115.4 + 268114.i −0.381276 + 1.17345i
\(479\) −150250. 48819.1i −0.654851 0.212774i −0.0372992 0.999304i \(-0.511875\pi\)
−0.617552 + 0.786530i \(0.711875\pi\)
\(480\) 69458.6 + 95601.6i 0.301470 + 0.414937i
\(481\) −24403.5 + 33588.6i −0.105478 + 0.145178i
\(482\) 19138.5 + 58902.3i 0.0823785 + 0.253535i
\(483\) 278555.i 1.19404i
\(484\) 48642.0 + 6320.91i 0.207645 + 0.0269829i
\(485\) 175087. 0.744339
\(486\) 61046.3 19835.2i 0.258456 0.0839775i
\(487\) 146114. + 106158.i 0.616075 + 0.447605i 0.851548 0.524276i \(-0.175664\pi\)
−0.235473 + 0.971881i \(0.575664\pi\)
\(488\) 296805. 215642.i 1.24633 0.905510i
\(489\) 50669.4 155944.i 0.211899 0.652157i
\(490\) 77159.6 + 25070.7i 0.321364 + 0.104418i
\(491\) 51972.2 + 71533.6i 0.215580 + 0.296720i 0.903087 0.429457i \(-0.141295\pi\)
−0.687507 + 0.726177i \(0.741295\pi\)
\(492\) −854.203 + 1175.71i −0.00352883 + 0.00485702i
\(493\) −4694.66 14448.7i −0.0193157 0.0594476i
\(494\) 163723.i 0.670897i
\(495\) 134043. 336801.i 0.547057 1.37456i
\(496\) 197281. 0.801903
\(497\) −55406.1 + 18002.5i −0.224308 + 0.0728821i
\(498\) 504462. + 366513.i 2.03409 + 1.47785i
\(499\) −58425.2 + 42448.4i −0.234638 + 0.170475i −0.698891 0.715228i \(-0.746323\pi\)
0.464253 + 0.885703i \(0.346323\pi\)
\(500\) −17181.1 + 52878.0i −0.0687244 + 0.211512i
\(501\) −801768. 260510.i −3.19428 1.03789i
\(502\) −79512.2 109439.i −0.315520 0.434276i
\(503\) −262146. + 360812.i −1.03611 + 1.42609i −0.135853 + 0.990729i \(0.543378\pi\)
−0.900258 + 0.435356i \(0.856622\pi\)
\(504\) −119901. 369017.i −0.472021 1.45273i
\(505\) 153930.i 0.603586i
\(506\) 14660.6 226588.i 0.0572601 0.884986i
\(507\) −139184. −0.541470
\(508\) −12213.2 + 3968.30i −0.0473261 + 0.0153772i
\(509\) −274741. 199611.i −1.06044 0.770457i −0.0862731 0.996272i \(-0.527496\pi\)
−0.974170 + 0.225814i \(0.927496\pi\)
\(510\) −71471.9 + 51927.4i −0.274786 + 0.199644i
\(511\) 23297.5 71702.4i 0.0892212 0.274595i
\(512\) −276791. 89934.8i −1.05587 0.343074i
\(513\) −267027. 367531.i −1.01466 1.39656i
\(514\) 183959. 253197.i 0.696296 0.958370i
\(515\) 93833.5 + 288790.i 0.353788 + 1.08885i
\(516\) 132827.i 0.498870i
\(517\) 136658. 86385.0i 0.511274 0.323190i
\(518\) 35097.2 0.130802
\(519\) 284556. 92457.7i 1.05641 0.343248i
\(520\) 138913. + 100926.i 0.513732 + 0.373248i
\(521\) −314293. + 228348.i −1.15787 + 0.841242i −0.989507 0.144483i \(-0.953848\pi\)
−0.168363 + 0.985725i \(0.553848\pi\)
\(522\) −31826.7 + 97952.5i −0.116802 + 0.359480i
\(523\) −136425. 44327.1i −0.498758 0.162056i 0.0488254 0.998807i \(-0.484452\pi\)
−0.547584 + 0.836751i \(0.684452\pi\)
\(524\) 48922.6 + 67336.1i 0.178175 + 0.245237i
\(525\) 96166.2 132361.i 0.348902 0.480223i
\(526\) 2097.14 + 6454.34i 0.00757978 + 0.0233282i
\(527\) 91369.5i 0.328988i
\(528\) 90284.4 + 354251.i 0.323851 + 1.27070i
\(529\) −1462.13 −0.00522487
\(530\) −31006.7 + 10074.7i −0.110384 + 0.0358658i
\(531\) 303196. + 220285.i 1.07531 + 0.781261i
\(532\) −29655.3 + 21545.8i −0.104780 + 0.0761271i
\(533\) −1192.09 + 3668.88i −0.00419619 + 0.0129145i
\(534\) −148367. 48207.4i −0.520302 0.169056i
\(535\) −133592. 183873.i −0.466736 0.642407i
\(536\) −162899. + 224211.i −0.567007 + 0.780419i
\(537\) 297977. + 917080.i 1.03332 + 3.18023i
\(538\) 217212.i 0.750445i
\(539\) −119629. 99325.1i −0.411775 0.341886i
\(540\) −82490.2 −0.282888
\(541\) 342946. 111430.i 1.17174 0.380721i 0.342448 0.939537i \(-0.388744\pi\)
0.829292 + 0.558815i \(0.188744\pi\)
\(542\) −20780.7 15098.0i −0.0707394 0.0513952i
\(543\) 544176. 395367.i 1.84561 1.34091i
\(544\) −11524.8 + 35469.6i −0.0389435 + 0.119856i
\(545\) 361184. + 117356.i 1.21601 + 0.395104i
\(546\) −155125. 213511.i −0.520351 0.716202i
\(547\) 345895. 476084.i 1.15603 1.59114i 0.431133 0.902289i \(-0.358114\pi\)
0.724900 0.688854i \(-0.241886\pi\)
\(548\) −446.874 1375.34i −0.00148807 0.00457982i
\(549\) 899648.i 2.98489i
\(550\) −85191.8 + 102607.i −0.281626 + 0.339196i
\(551\) 56198.2 0.185106
\(552\) −545782. + 177335.i −1.79119 + 0.581992i
\(553\) −94680.8 68789.6i −0.309608 0.224943i
\(554\) −58455.0 + 42470.0i −0.190459 + 0.138377i
\(555\) 25608.5 78814.9i 0.0831378 0.255872i
\(556\) 94974.4 + 30859.0i 0.307225 + 0.0998235i
\(557\) −227035. 312486.i −0.731782 1.00721i −0.999050 0.0435893i \(-0.986121\pi\)
0.267267 0.963622i \(-0.413879\pi\)
\(558\) −364089. + 501125.i −1.16933 + 1.60945i
\(559\) −108957. 335334.i −0.348682 1.07313i
\(560\) 113365.i 0.361497i
\(561\) 164069. 41814.7i 0.521316 0.132863i
\(562\) 237795. 0.752887
\(563\) 37883.9 12309.2i 0.119519 0.0388342i −0.248647 0.968594i \(-0.579986\pi\)
0.368166 + 0.929760i \(0.379986\pi\)
\(564\) −57233.6 41582.6i −0.179925 0.130724i
\(565\) −46418.1 + 33724.7i −0.145409 + 0.105646i
\(566\) 14675.2 45165.6i 0.0458090 0.140986i
\(567\) 262145. + 85175.9i 0.815408 + 0.264942i
\(568\) −70545.7 97097.9i −0.218662 0.300963i
\(569\) −35162.0 + 48396.4i −0.108605 + 0.149482i −0.859860 0.510531i \(-0.829449\pi\)
0.751255 + 0.660012i \(0.229449\pi\)
\(570\) −100986. 310802.i −0.310821 0.956610i
\(571\) 54543.1i 0.167289i −0.996496 0.0836445i \(-0.973344\pi\)
0.996496 0.0836445i \(-0.0266560\pi\)
\(572\) −30443.5 48160.6i −0.0930472 0.147197i
\(573\) −789348. −2.40414
\(574\) 3101.50 1007.74i 0.00941344 0.00305861i
\(575\) −132277. 96105.2i −0.400083 0.290677i
\(576\) 622174. 452036.i 1.87528 1.36247i
\(577\) −143516. + 441697.i −0.431071 + 1.32670i 0.465988 + 0.884791i \(0.345699\pi\)
−0.897059 + 0.441910i \(0.854301\pi\)
\(578\) 255999. + 83179.1i 0.766271 + 0.248976i
\(579\) 609240. + 838547.i 1.81732 + 2.50133i
\(580\) 5998.02 8255.57i 0.0178300 0.0245409i
\(581\) 114518. + 352449.i 0.339250 + 1.04410i
\(582\) 554412.i 1.63677i
\(583\) 62353.0 + 4034.34i 0.183451 + 0.0118696i
\(584\) 155320. 0.455410
\(585\) −400452. + 130115.i −1.17014 + 0.380203i
\(586\) −100709. 73169.0i −0.293272 0.213075i
\(587\) −97704.5 + 70986.5i −0.283556 + 0.206015i −0.720467 0.693489i \(-0.756072\pi\)
0.436911 + 0.899505i \(0.356072\pi\)
\(588\) −21025.2 + 64708.8i −0.0608114 + 0.187158i
\(589\) 321446. + 104444.i 0.926569 + 0.301060i
\(590\) 82408.1 + 113425.i 0.236737 + 0.325840i
\(591\) 331511. 456286.i 0.949124 1.30636i
\(592\) 17450.7 + 53707.6i 0.0497930 + 0.153247i
\(593\) 567951.i 1.61511i −0.589794 0.807554i \(-0.700791\pi\)
0.589794 0.807554i \(-0.299209\pi\)
\(594\) −554617. 220731.i −1.57188 0.625592i
\(595\) −52504.4 −0.148307
\(596\) 56201.8 18261.1i 0.158219 0.0514084i
\(597\) −135142. 98186.5i −0.379177 0.275488i
\(598\) −213376. + 155027.i −0.596682 + 0.433515i
\(599\) −31518.1 + 97002.7i −0.0878428 + 0.270352i −0.985322 0.170704i \(-0.945396\pi\)
0.897480 + 0.441056i \(0.145396\pi\)
\(600\) 320561. + 104157.i 0.890448 + 0.289324i
\(601\) −235833. 324596.i −0.652912 0.898657i 0.346309 0.938121i \(-0.387435\pi\)
−0.999221 + 0.0394638i \(0.987435\pi\)
\(602\) −175198. + 241139.i −0.483432 + 0.665387i
\(603\) −210010. 646345.i −0.577572 1.77758i
\(604\) 78314.6i 0.214669i
\(605\) −228193. + 124395.i −0.623436 + 0.339853i
\(606\) −487416. −1.32726
\(607\) −249048. + 80920.5i −0.675935 + 0.219625i −0.626815 0.779168i \(-0.715642\pi\)
−0.0491203 + 0.998793i \(0.515642\pi\)
\(608\) −111611. 81090.4i −0.301927 0.219363i
\(609\) −73288.1 + 53246.9i −0.197605 + 0.143569i
\(610\) −104002. + 320084.i −0.279499 + 0.860209i
\(611\) −178601. 58031.0i −0.478411 0.155445i
\(612\) −29425.4 40500.5i −0.0785631 0.108133i
\(613\) −49274.5 + 67820.6i −0.131130 + 0.180485i −0.869533 0.493875i \(-0.835580\pi\)
0.738403 + 0.674359i \(0.235580\pi\)
\(614\) 45263.7 + 139307.i 0.120064 + 0.369520i
\(615\) 7700.08i 0.0203585i
\(616\) −102868. + 258471.i −0.271094 + 0.681161i
\(617\) 699485. 1.83742 0.918709 0.394936i \(-0.129233\pi\)
0.918709 + 0.394936i \(0.129233\pi\)
\(618\) 914450. 297123.i 2.39432 0.777963i
\(619\) 261946. + 190315.i 0.683645 + 0.496697i 0.874565 0.484909i \(-0.161147\pi\)
−0.190920 + 0.981606i \(0.561147\pi\)
\(620\) 49650.8 36073.4i 0.129164 0.0938434i
\(621\) 226150. 696017.i 0.586425 1.80483i
\(622\) 111908. + 36361.0i 0.289254 + 0.0939842i
\(623\) −54496.5 75008.0i −0.140408 0.193255i
\(624\) 249596. 343540.i 0.641016 0.882283i
\(625\) −31182.8 95970.7i −0.0798279 0.245685i
\(626\) 261581.i 0.667509i
\(627\) −40439.1 + 625008.i −0.102865 + 1.58983i
\(628\) −22986.2 −0.0582838
\(629\) 24874.3 8082.16i 0.0628710 0.0204280i
\(630\) 287966. + 209219.i 0.725538 + 0.527134i
\(631\) −378867. + 275263.i −0.951541 + 0.691335i −0.951171 0.308665i \(-0.900118\pi\)
−0.000370493 1.00000i \(0.500118\pi\)
\(632\) 74505.3 229304.i 0.186532 0.574086i
\(633\) −362878. 117906.i −0.905635 0.294259i
\(634\) 335741. + 462107.i 0.835267 + 1.14965i
\(635\) 39993.9 55046.8i 0.0991850 0.136516i
\(636\) −8449.00 26003.4i −0.0208877 0.0642858i
\(637\) 180610.i 0.445105i
\(638\) 62417.9 39456.0i 0.153344 0.0969329i
\(639\) 294314. 0.720790
\(640\) 159838. 51934.6i 0.390230 0.126793i
\(641\) −249904. 181566.i −0.608216 0.441895i 0.240570 0.970632i \(-0.422666\pi\)
−0.848786 + 0.528737i \(0.822666\pi\)
\(642\) −582232. + 423017.i −1.41262 + 1.02633i
\(643\) −68532.0 + 210920.i −0.165757 + 0.510147i −0.999091 0.0426219i \(-0.986429\pi\)
0.833334 + 0.552769i \(0.186429\pi\)
\(644\) −56160.1 18247.5i −0.135412 0.0439980i
\(645\) 413674. + 569373.i 0.994348 + 1.36860i
\(646\) 60623.3 83440.8i 0.145270 0.199946i
\(647\) 87456.3 + 269163.i 0.208921 + 0.642994i 0.999530 + 0.0306713i \(0.00976449\pi\)
−0.790608 + 0.612322i \(0.790236\pi\)
\(648\) 567852.i 1.35234i
\(649\) −66359.3 260376.i −0.157548 0.618174i
\(650\) 154910. 0.366651
\(651\) −518157. + 168359.i −1.22264 + 0.397261i
\(652\) 28121.0 + 20431.1i 0.0661509 + 0.0480615i
\(653\) 530719. 385590.i 1.24462 0.904273i 0.246727 0.969085i \(-0.420645\pi\)
0.997897 + 0.0648122i \(0.0206448\pi\)
\(654\) 371606. 1.14369e6i 0.868816 2.67394i
\(655\) −419420. 136278.i −0.977613 0.317646i
\(656\) 3084.19 + 4245.02i 0.00716693 + 0.00986444i
\(657\) −223875. + 308137.i −0.518650 + 0.713861i
\(658\) 49056.8 + 150981.i 0.113304 + 0.348715i
\(659\) 266782.i 0.614307i −0.951660 0.307154i \(-0.900623\pi\)
0.951660 0.307154i \(-0.0993765\pi\)
\(660\) 87498.2 + 72647.5i 0.200868 + 0.166776i
\(661\) 121616. 0.278349 0.139174 0.990268i \(-0.455555\pi\)
0.139174 + 0.990268i \(0.455555\pi\)
\(662\) −458910. + 149109.i −1.04716 + 0.340241i
\(663\) −159108. 115599.i −0.361964 0.262983i
\(664\) −617658. + 448755.i −1.40092 + 1.01783i
\(665\) 60017.7 184715.i 0.135717 0.417695i
\(666\) −168632. 54791.7i −0.380181 0.123528i
\(667\) 53213.2 + 73241.7i 0.119610 + 0.164629i
\(668\) 105044. 144581.i 0.235406 0.324009i
\(669\) −341664. 1.05153e6i −0.763391 2.34948i
\(670\) 254239.i 0.566361i
\(671\) 412034. 496263.i 0.915141 1.10222i
\(672\) 222384. 0.492454
\(673\) −424599. + 137961.i −0.937452 + 0.304596i −0.737606 0.675231i \(-0.764044\pi\)
−0.199845 + 0.979827i \(0.564044\pi\)
\(674\) −279444. 203028.i −0.615141 0.446926i
\(675\) −347747. + 252653.i −0.763231 + 0.554519i
\(676\) 9117.65 28061.2i 0.0199521 0.0614064i
\(677\) 443664. + 144155.i 0.968002 + 0.314523i 0.750009 0.661427i \(-0.230049\pi\)
0.217993 + 0.975950i \(0.430049\pi\)
\(678\) 106789. + 146983.i 0.232310 + 0.319747i
\(679\) 193673. 266568.i 0.420078 0.578188i
\(680\) −33425.6 102873.i −0.0722872 0.222477i
\(681\) 715066.i 1.54188i
\(682\) 430351. 109679.i 0.925239 0.235806i
\(683\) 468573. 1.00447 0.502233 0.864732i \(-0.332512\pi\)
0.502233 + 0.864732i \(0.332512\pi\)
\(684\) 176120. 57225.0i 0.376442 0.122313i
\(685\) 6198.88 + 4503.75i 0.0132109 + 0.00959827i
\(686\) 354310. 257422.i 0.752897 0.547012i
\(687\) −169357. + 521227.i −0.358830 + 1.10437i
\(688\) −456113. 148200.i −0.963597 0.313092i
\(689\) −42660.5 58717.2i −0.0898644 0.123688i
\(690\) 309439. 425906.i 0.649945 0.894572i
\(691\) 14366.7 + 44216.1i 0.0300885 + 0.0926029i 0.964973 0.262349i \(-0.0844972\pi\)
−0.934885 + 0.354952i \(0.884497\pi\)
\(692\) 63426.5i 0.132452i
\(693\) −364504. 576632.i −0.758989 1.20069i
\(694\) −340943. −0.707885
\(695\) −503221. + 163507.i −1.04181 + 0.338505i
\(696\) −150985. 109697.i −0.311685 0.226453i
\(697\) 1966.06 1428.42i 0.00404697 0.00294030i
\(698\) 61086.9 188006.i 0.125383 0.385888i
\(699\) −96265.6 31278.6i −0.197023 0.0640166i
\(700\) 20386.0 + 28059.0i 0.0416041 + 0.0572632i
\(701\) −551414. + 758956.i −1.12213 + 1.54447i −0.319902 + 0.947451i \(0.603650\pi\)
−0.802224 + 0.597023i \(0.796350\pi\)
\(702\) 214263. + 659434.i 0.434784 + 1.33813i
\(703\) 96748.8i 0.195765i
\(704\) −550233. 35601.0i −1.11020 0.0718318i
\(705\) 374840. 0.754167
\(706\) 192534. 62558.2i 0.386277 0.125509i
\(707\) −234356. 170270.i −0.468854 0.340642i
\(708\) −95122.3 + 69110.4i −0.189765 + 0.137872i
\(709\) 159258. 490145.i 0.316816 0.975061i −0.658184 0.752857i \(-0.728675\pi\)
0.975000 0.222204i \(-0.0713250\pi\)
\(710\) 104713. + 34023.4i 0.207723 + 0.0674934i
\(711\) 347522. + 478323.i 0.687453 + 0.946198i
\(712\) 112272. 154529.i 0.221467 0.304824i
\(713\) 168253. + 517829.i 0.330966 + 1.01861i
\(714\) 166255.i 0.326120i
\(715\) 280489. + 111631.i 0.548660 + 0.218360i
\(716\) −204414. −0.398736
\(717\) 1.19136e6 387098.i 2.31743 0.752978i
\(718\) −146264. 106267.i −0.283719 0.206134i
\(719\) −232894. + 169208.i −0.450507 + 0.327312i −0.789796 0.613370i \(-0.789814\pi\)
0.339289 + 0.940682i \(0.389814\pi\)
\(720\) −176979. + 544686.i −0.341395 + 1.05071i
\(721\) 543474. + 176585.i 1.04546 + 0.339691i
\(722\) −48188.0 66325.0i −0.0924409 0.127234i
\(723\) 161760. 222643.i 0.309452 0.425925i
\(724\) 44063.1 + 135612.i 0.0840616 + 0.258715i
\(725\) 53173.2i 0.101162i
\(726\) 393894. + 722572.i 0.747320 + 1.37091i
\(727\) −263581. −0.498706 −0.249353 0.968413i \(-0.580218\pi\)
−0.249353 + 0.968413i \(0.580218\pi\)
\(728\) 307319. 99853.9i 0.579864 0.188409i
\(729\) 309945. + 225188.i 0.583217 + 0.423732i
\(730\) −115273. + 83751.0i −0.216313 + 0.157161i
\(731\) −68638.0 + 211246.i −0.128449 + 0.395324i
\(732\) −268434. 87219.4i −0.500974 0.162776i
\(733\) −83867.7 115434.i −0.156094 0.214845i 0.723806 0.690003i \(-0.242391\pi\)
−0.879900 + 0.475158i \(0.842391\pi\)
\(734\) −52942.3 + 72868.8i −0.0982677 + 0.135254i
\(735\) −111402. 342859.i −0.206214 0.634660i
\(736\) 222243.i 0.410273i
\(737\) −180177. + 452719.i −0.331715 + 0.833478i
\(738\) −16475.0 −0.0302491
\(739\) 229806. 74668.6i 0.420798 0.136725i −0.0909615 0.995854i \(-0.528994\pi\)
0.511759 + 0.859129i \(0.328994\pi\)
\(740\) 14212.5 + 10326.0i 0.0259541 + 0.0188568i
\(741\) 588564. 427617.i 1.07191 0.778786i
\(742\) −18959.6 + 58351.6i −0.0344367 + 0.105985i
\(743\) 368874. + 119854.i 0.668191 + 0.217108i 0.623418 0.781889i \(-0.285744\pi\)
0.0447731 + 0.998997i \(0.485744\pi\)
\(744\) −659743. 908058.i −1.19187 1.64047i
\(745\) −184041. + 253311.i −0.331591 + 0.456396i
\(746\) −270503. 832523.i −0.486065 1.49596i
\(747\) 1.87219e6i 3.35512i
\(748\) −2317.45 + 35817.5i −0.00414198 + 0.0640165i
\(749\) −427718. −0.762419
\(750\) −887167. + 288258.i −1.57719 + 0.512459i
\(751\) 716843. + 520817.i 1.27100 + 0.923432i 0.999242 0.0389349i \(-0.0123965\pi\)
0.271753 + 0.962367i \(0.412396\pi\)
\(752\) −206648. + 150138.i −0.365422 + 0.265495i
\(753\) −185748. + 571673.i −0.327592 + 1.00823i
\(754\) −81575.2 26505.4i −0.143488 0.0466221i
\(755\) −243901. 335701.i −0.427878 0.588924i
\(756\) −91246.9 + 125591.i −0.159652 + 0.219742i
\(757\) −115343. 354989.i −0.201279 0.619475i −0.999846 0.0175675i \(-0.994408\pi\)
0.798566 0.601907i \(-0.205592\pi\)
\(758\) 780973.i 1.35925i
\(759\) −852847. + 539106.i −1.48043 + 0.935817i
\(760\) 400127. 0.692740
\(761\) −244306. + 79379.9i −0.421857 + 0.137070i −0.512250 0.858837i \(-0.671188\pi\)
0.0903927 + 0.995906i \(0.471188\pi\)
\(762\) −174305. 126640.i −0.300193 0.218103i
\(763\) 578199. 420086.i 0.993180 0.721587i
\(764\) 51708.4 159142.i 0.0885879 0.272645i
\(765\) 252268. + 81966.8i 0.431061 + 0.140060i
\(766\) −113230. 155848.i −0.192977 0.265610i
\(767\) −183454. + 252503.i −0.311844 + 0.429216i
\(768\) 191621. + 589750.i 0.324879 + 0.999875i
\(769\) 337919.i 0.571426i −0.958315 0.285713i \(-0.907770\pi\)
0.958315 0.285713i \(-0.0922304\pi\)
\(770\) −63025.9 247296.i −0.106301