Properties

Label 11.5.d.a.2.2
Level 11
Weight 5
Character 11.2
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 2.2
Root \(2.38108i\)
Character \(\chi\) = 11.2
Dual form 11.5.d.a.6.2

$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{1}{10}\right)\)

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 −0.146023 0.989281i \(-0.546647\pi\)
−0.699620 + 0.714515i \(0.746647\pi\)
\(3\) 12.7857 9.28936i 1.42063 1.03215i 0.428967 0.903320i \(-0.358878\pi\)
0.991667 0.128831i \(-0.0411224\pi\)
\(4\) −2.71041 1.96923i −0.169401 0.123077i
\(5\) 5.48545 + 16.8825i 0.219418 + 0.675299i 0.998810 + 0.0487629i \(0.0155279\pi\)
−0.779392 + 0.626536i \(0.784472\pi\)
\(6\) −53.4582 + 17.3696i −1.48495 + 0.482489i
\(7\) −19.6356 + 27.0262i −0.400728 + 0.551554i −0.960926 0.276804i \(-0.910725\pi\)
0.560199 + 0.828358i \(0.310725\pi\)
\(8\) 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 −0.114441 0.993430i \(-0.536508\pi\)
−0.676508 + 0.736435i \(0.736508\pi\)
\(14\) 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 −0.159684 0.987168i \(-0.551047\pi\)
0.451056 + 0.892496i \(0.351047\pi\)
\(18\) −352.814 + 485.607i −1.08893 + 1.49879i
\(19\) −192.513 264.971i −0.533276 0.733991i 0.454350 0.890824i \(-0.349872\pi\)
−0.987625 + 0.156832i \(0.949872\pi\)
\(20\) 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 −0.864758 0.502188i \(-0.832528\pi\)
0.744835 + 0.667249i \(0.232528\pi\)
\(30\) −586.484 807.227i −0.651649 0.896918i
\(31\) −318.892 + 981.449i −0.331834 + 1.02128i 0.636427 + 0.771337i \(0.280412\pi\)
−0.968261 + 0.249942i \(0.919588\pi\)
\(32\) 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 0.671637 0.740880i \(-0.265591\pi\)
−0.497071 + 0.867710i \(0.665591\pi\)
\(38\) 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 0.813789 0.581161i \(-0.197401\pi\)
−0.804191 + 0.594370i \(0.797401\pi\)
\(42\) 580.252 1785.83i 0.328941 1.01238i
\(43\) 2508.66i 1.35677i −0.734708 0.678384i \(-0.762681\pi\)
0.734708 0.678384i \(-0.237319\pi\)
\(44\) 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 −0.315590 0.948896i \(-0.602203\pi\)
0.804931 + 0.593369i \(0.202203\pi\)
\(48\) −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 −0.918626 0.395127i \(-0.870700\pi\)
0.975434 + 0.220290i \(0.0707005\pi\)
\(54\) 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 0.815133 0.579274i \(-0.196664\pi\)
−0.299033 + 0.954243i \(0.596664\pi\)
\(60\) −290.440 893.882i −0.0806778 0.248301i
\(61\) 5069.82 1647.29i 1.36249 0.442700i 0.465616 0.884987i \(-0.345833\pi\)
0.896874 + 0.442287i \(0.145833\pi\)
\(62\) 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 0.990172 0.139852i \(-0.0446627\pi\)
−0.883269 + 0.468866i \(0.844663\pi\)
\(72\) 11046.4 3589.19i 2.13086 0.692358i
\(73\) 1326.54 1825.82i 0.248928 0.342620i −0.666207 0.745766i \(-0.732083\pi\)
0.915135 + 0.403146i \(0.132083\pi\)
\(74\) −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 0.563527 0.826097i \(-0.309444\pi\)
−0.0296646 + 0.999560i \(0.509444\pi\)
\(80\) 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 −0.949012 0.315239i \(-0.897915\pi\)
−0.582474 + 0.812849i \(0.697915\pi\)
\(84\) 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 −0.647978 0.761659i \(-0.724385\pi\)
0.971917 0.235323i \(-0.0756147\pi\)
\(98\) 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 0.683943 0.729535i \(-0.260264\pi\)
0.124512 + 0.992218i \(0.460264\pi\)
\(102\) −4026.29 + 2925.27i −0.386995 + 0.281168i
\(103\) −13839.0 10054.6i −1.30445 0.947741i −0.304466 0.952523i \(-0.598478\pi\)
−0.999989 + 0.00478190i \(0.998478\pi\)
\(104\) −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 0.999389 0.0349438i \(-0.0111252\pi\)
−0.342062 + 0.939677i \(0.611125\pi\)
\(108\) −1436.00 + 4419.56i −0.123114 + 0.378906i
\(109\) 21394.0i 1.80069i −0.435173 0.900347i \(-0.643313\pi\)
0.435173 0.900347i \(-0.356687\pi\)
\(110\) 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 −0.685452 0.728118i \(-0.740395\pi\)
0.480665 + 0.876904i \(0.340395\pi\)
\(114\) 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 −0.193818 0.981037i \(-0.562087\pi\)
0.419837 + 0.907600i \(0.362087\pi\)
\(128\) 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 \(0.257623\pi\)
−0.689971 + 0.723837i \(0.742377\pi\)
\(132\) −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 0.947440 0.319933i \(-0.103660\pi\)
−0.954547 + 0.298061i \(0.903660\pi\)
\(138\) 28205.4 9164.49i 1.48107 0.481227i
\(139\) −17520.3 + 24114.6i −0.906801 + 1.24810i 0.0614464 + 0.998110i \(0.480429\pi\)
−0.968247 + 0.249994i \(0.919571\pi\)
\(140\) 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 −0.661396 0.750037i \(-0.730036\pi\)
−0.0942196 + 0.995551i \(0.530036\pi\)
\(150\) −10238.5 + 14092.1i −0.455045 + 0.626316i
\(151\) 13739.9 + 18911.4i 0.602602 + 0.829410i 0.995943 0.0899823i \(-0.0286810\pi\)
−0.393342 + 0.919392i \(0.628681\pi\)
\(152\) 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 −0.469470 0.882948i \(-0.655555\pi\)
0.694660 + 0.719339i \(0.255555\pi\)
\(158\) −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 −0.993088 0.117376i \(-0.962552\pi\)
0.872416 + 0.488763i \(0.162552\pi\)
\(164\) 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 −0.999846 0.0175744i \(-0.994406\pi\)
−0.819222 0.573477i \(-0.805594\pi\)
\(168\) −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 0.953392 0.301736i \(-0.0975661\pi\)
−0.581582 + 0.813488i \(0.697566\pi\)
\(174\) 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 0.590616 0.806953i \(-0.298885\pi\)
0.949968 0.312347i \(-0.101115\pi\)
\(180\) −8119.90 5899.45i −0.250614 0.182082i
\(181\) 13152.2 + 40478.2i 0.401458 + 1.23556i 0.923817 + 0.382835i \(0.125052\pi\)
−0.522359 + 0.852726i \(0.674948\pi\)
\(182\) −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 −0.125336 0.992114i \(-0.540001\pi\)
−0.982288 + 0.187378i \(0.940001\pi\)
\(192\) 22254.5 + 68492.3i 0.603692 + 1.85797i
\(193\) 62374.8 20266.8i 1.67454 0.544090i 0.690697 0.723145i \(-0.257304\pi\)
0.983839 + 0.179055i \(0.0573040\pi\)
\(194\) −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 \(0.152072\pi\)
−0.888033 + 0.459779i \(0.847928\pi\)
\(198\) −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 0.0395724 0.999217i \(-0.487400\pi\)
−0.555310 + 0.831643i \(0.687400\pi\)
\(212\) −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 −0.986860 0.161579i \(-0.948341\pi\)
−0.151286 + 0.988490i \(0.548341\pi\)
\(224\) 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 −0.468821 0.883293i \(-0.655321\pi\)
0.984935 + 0.172923i \(0.0553211\pi\)
\(228\) 10193.0 + 14029.5i 0.196080 + 0.269881i
\(229\) 10716.1 32980.7i 0.204345 0.628910i −0.795394 0.606092i \(-0.792736\pi\)
0.999740 0.0228179i \(-0.00726379\pi\)
\(230\) 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 0.252379 0.967628i \(-0.418787\pi\)
−0.364579 + 0.931173i \(0.618787\pi\)
\(234\) 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 0.990430 + 0.138017i \(0.0440729\pi\)
−0.174798 + 0.984604i \(0.555927\pi\)
\(240\) 16573.1 51006.7i 0.287727 0.885533i
\(241\) 17413.4i 0.299813i 0.988700 + 0.149907i \(0.0478973\pi\)
−0.988700 + 0.149907i \(0.952103\pi\)
\(242\) 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 −0.813416 0.581683i \(-0.802394\pi\)
0.999972 + 0.00752246i \(0.00239450\pi\)
\(252\) 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 −0.100530 0.994934i \(-0.532054\pi\)
−0.977304 + 0.211841i \(0.932054\pi\)
\(258\) 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 \(0.00439063\pi\)
−0.999905 + 0.0137931i \(0.995609\pi\)
\(264\) 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 −0.992630 0.121187i \(-0.961330\pi\)
0.731822 0.681496i \(-0.238670\pi\)
\(270\) −83286.1 + 27061.3i −1.14247 + 0.371211i
\(271\) 4245.02 5842.77i 0.0578018 0.0795573i −0.779138 0.626853i \(-0.784343\pi\)
0.836939 + 0.547296i \(0.184343\pi\)
\(272\) −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 0.432201 0.901777i \(-0.357737\pi\)
−0.180393 + 0.983595i \(0.557737\pi\)
\(278\) 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 −0.682604 0.730788i \(-0.739153\pi\)
−0.122692 + 0.992445i \(0.539153\pi\)
\(282\) −44144.4 + 60759.6i −0.555108 + 0.764040i
\(283\) −7848.36 10802.3i −0.0979955 0.134879i 0.757203 0.653179i \(-0.226565\pi\)
−0.855199 + 0.518300i \(0.826565\pi\)
\(284\) 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 −0.672212 0.740358i \(-0.734656\pi\)
0.911848 + 0.410529i \(0.134656\pi\)
\(294\) −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 \(0.0701113\pi\)
−0.975840 + 0.218484i \(0.929889\pi\)
\(308\) 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 −0.717488 0.696571i \(-0.754708\pi\)
0.440762 + 0.897624i \(0.354708\pi\)
\(312\) −123675. 89854.9i −1.27049 0.923066i
\(313\) 22727.2 + 69947.3i 0.231984 + 0.713974i 0.997507 + 0.0705652i \(0.0224803\pi\)
−0.765523 + 0.643408i \(0.777520\pi\)
\(314\) −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 0.324854 + 0.945764i \(0.394685\pi\)
−0.818719 + 0.574195i \(0.805315\pi\)
\(318\) 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 −0.480019 0.877258i \(-0.659370\pi\)
0.982656 + 0.185437i \(0.0593702\pi\)
\(338\) 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 0.0951010 0.995468i \(-0.469683\pi\)
0.662060 + 0.749451i \(0.269683\pi\)
\(348\) 5340.05 7349.95i 0.0440947 0.0606912i
\(349\) −32669.6 44965.8i −0.268221 0.369174i 0.653567 0.756868i \(-0.273272\pi\)
−0.921788 + 0.387694i \(0.873272\pi\)
\(350\) 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 −0.677215 0.735785i \(-0.736813\pi\)
0.909044 + 0.416699i \(0.136813\pi\)
\(360\) 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 0.661239 0.750175i \(-0.270031\pi\)
−0.509125 + 0.860693i \(0.670031\pi\)
\(368\) 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 \(-0.654495\pi\)
0.466527 0.884507i \(-0.345505\pi\)
\(374\) −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 0.849448 + 0.527673i \(0.176935\pi\)
−0.377059 + 0.926189i \(0.623065\pi\)
\(380\) −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 −0.877658 0.479288i \(-0.840895\pi\)
0.991758 + 0.128122i \(0.0408950\pi\)
\(384\) 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 0.571326 0.820723i \(-0.306429\pi\)
−0.604005 + 0.796981i \(0.706429\pi\)
\(390\) 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 0.951152 0.308723i \(-0.0999017\pi\)
−0.950961 + 0.309311i \(0.899902\pi\)
\(402\) 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 0.194288 0.980945i \(-0.437760\pi\)
−0.419402 + 0.907800i \(0.637760\pi\)
\(410\) 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 0.299075 0.954230i \(-0.403322\pi\)
0.999946 + 0.0104357i \(0.00332184\pi\)
\(422\) 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 0.0724387 0.997373i \(-0.476922\pi\)
−0.527637 + 0.849470i \(0.676922\pi\)
\(432\) −214525. + 155861.i −1.14950 + 0.835162i
\(433\) −48997.4 35598.7i −0.261335 0.189871i 0.449401 0.893330i \(-0.351638\pi\)
−0.710735 + 0.703460i \(0.751638\pi\)
\(434\) 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 \(-0.864935\pi\)
0.911319 0.411701i \(-0.135065\pi\)
\(440\) −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 −0.724110 0.689685i \(-0.757749\pi\)
0.432167 + 0.901794i \(0.357749\pi\)
\(444\) −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 0.709292 + 0.704915i \(0.249015\pi\)
−0.988168 + 0.153377i \(0.950985\pi\)
\(450\) 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 0.289960 0.957039i \(-0.406358\pi\)
0.797116 + 0.603826i \(0.206358\pi\)
\(458\) −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 \(-0.818180\pi\)
0.841251 0.540645i \(-0.181820\pi\)
\(462\) 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 0.999591 + 0.0285876i \(0.00910094\pi\)
−0.791883 + 0.610673i \(0.790899\pi\)
\(468\) 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 −0.617552 0.786530i \(-0.711875\pi\)
−0.0372992 + 0.999304i \(0.511875\pi\)
\(480\) 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 −0.235473 0.971881i \(-0.575664\pi\)
0.851548 + 0.524276i \(0.175664\pi\)
\(488\) 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 −0.687507 0.726177i \(-0.741295\pi\)
0.903087 + 0.429457i \(0.141295\pi\)
\(492\) −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 0.464253 0.885703i \(-0.346323\pi\)
−0.698891 + 0.715228i \(0.746323\pi\)
\(500\) −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 −0.900258 0.435356i \(-0.856622\pi\)
−0.135853 0.990729i \(-0.543378\pi\)
\(504\) −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 −0.974170 0.225814i \(-0.927496\pi\)
−0.0862731 + 0.996272i \(0.527496\pi\)
\(510\) −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 −0.168363 0.985725i \(-0.553848\pi\)
−0.989507 + 0.144483i \(0.953848\pi\)
\(522\) −31826.7 97952.5i −0.116802 0.359480i
\(523\) −136425. + 44327.1i −0.498758 + 0.162056i −0.547584 0.836751i \(-0.684452\pi\)
0.0488254 + 0.998807i \(0.484452\pi\)
\(524\) 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 0.829292 0.558815i \(-0.188744\pi\)
0.342448 + 0.939537i \(0.388744\pi\)
\(542\) −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 0.724900 + 0.688854i \(0.241886\pi\)
0.431133 + 0.902289i \(0.358114\pi\)
\(548\) −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 0.267267 + 0.963622i \(0.413879\pi\)
−0.999050 + 0.0435893i \(0.986121\pi\)
\(558\) −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 0.368166 0.929760i \(-0.379986\pi\)
−0.248647 + 0.968594i \(0.579986\pi\)
\(564\) −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 0.751255 0.660012i \(-0.229449\pi\)
−0.859860 + 0.510531i \(0.829449\pi\)
\(570\) −100986. + 310802.i −0.310821 + 0.956610i
\(571\) 54543.1i 0.167289i 0.996496 + 0.0836445i \(0.0266560\pi\)
−0.996496 + 0.0836445i \(0.973344\pi\)
\(572\) −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 −0.897059 0.441910i \(-0.854301\pi\)
0.465988 0.884791i \(-0.345699\pi\)
\(578\) 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 0.436911 0.899505i \(-0.356072\pi\)
−0.720467 + 0.693489i \(0.756072\pi\)
\(588\) −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 \(0.299209\pi\)
−0.589794 + 0.807554i \(0.700791\pi\)
\(594\) −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 0.897480 0.441056i \(-0.145396\pi\)
−0.985322 + 0.170704i \(0.945396\pi\)
\(600\) 320561. 104157.i 0.890448 0.289324i
\(601\) −235833. + 324596.i −0.652912 + 0.898657i −0.999221 0.0394638i \(-0.987435\pi\)
0.346309 + 0.938121i \(0.387435\pi\)
\(602\) −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 −0.0491203 0.998793i \(-0.515642\pi\)
−0.626815 + 0.779168i \(0.715642\pi\)
\(608\) −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 0.738403 0.674359i \(-0.235580\pi\)
−0.869533 + 0.493875i \(0.835580\pi\)
\(614\) 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 −0.190920 0.981606i \(-0.561147\pi\)
0.874565 + 0.484909i \(0.161147\pi\)
\(620\) 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 −0.000370493 1.00000i \(-0.500118\pi\)
−0.951171 + 0.308665i \(0.900118\pi\)
\(632\) 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 −0.848786 0.528737i \(-0.822666\pi\)
0.240570 + 0.970632i \(0.422666\pi\)
\(642\) −582232. 423017.i −1.41262 1.02633i
\(643\) −68532.0 210920.i −0.165757 0.510147i 0.833334 0.552769i \(-0.186429\pi\)
−0.999091 + 0.0426219i \(0.986429\pi\)
\(644\) −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 −0.790608 0.612322i \(-0.790236\pi\)
0.999530 0.0306713i \(-0.00976449\pi\)
\(648\) 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 0.997897 0.0648122i \(-0.0206448\pi\)
0.246727 + 0.969085i \(0.420645\pi\)
\(654\) 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 \(0.0993765\pi\)
−0.951660 + 0.307154i \(0.900623\pi\)
\(660\) 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 −0.199845 0.979827i \(-0.564044\pi\)
−0.737606 + 0.675231i \(0.764044\pi\)
\(674\) −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 0.217993 0.975950i \(-0.430049\pi\)
0.750009 + 0.661427i \(0.230049\pi\)
\(678\) 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 −0.934885 0.354952i \(-0.884497\pi\)
0.964973 + 0.262349i \(0.0844972\pi\)
\(692\) 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 −0.802224 0.597023i \(-0.796350\pi\)
−0.319902 0.947451i \(-0.603650\pi\)
\(702\) 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 0.975000 + 0.222204i \(0.0713250\pi\)
−0.658184 + 0.752857i \(0.728675\pi\)
\(710\) 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 0.339289 0.940682i \(-0.389814\pi\)
−0.789796 + 0.613370i \(0.789814\pi\)
\(720\) −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 −0.879900 0.475158i \(-0.842391\pi\)
0.723806 + 0.690003i \(0.242391\pi\)
\(734\) −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 0.511759 0.859129i \(-0.328994\pi\)
−0.0909615 + 0.995854i \(0.528994\pi\)
\(740\) 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 0.0447731 0.998997i \(-0.485744\pi\)
0.623418 + 0.781889i \(0.285744\pi\)
\(744\) −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 0.271753 0.962367i \(-0.412396\pi\)
0.999242 + 0.0389349i \(0.0123965\pi\)
\(752\) −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 0.798566 + 0.601907i \(0.205592\pi\)
−0.999846 + 0.0175675i \(0.994408\pi\)
\(758\) 780973.i 1.35925i
\(759\) −852847. 539106.i −1.48043 0.935817i
\(760\) 400127. 0.692740
\(761\) −244306. 79379.9i −0.421857 0.137070i 0.0903927 0.995906i \(-0.471188\pi\)
−0.512250 + 0.858837i \(0.671188\pi\)
\(762\) −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 \(0.0922304\pi\)
−0.958315 + 0.285713i \(0.907770\pi\)
\(770\) −63025.9 + 247296.i